Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 3682, 21793, 8451, 609, 519, 3889, 540, 519, 12636, 950, 519, 11015, 4773, 630, 321, 2158, 267, 6091, 267, 28587, 267, 28844, 267, 610, 20162, 264, 3111, 547, 3514, 2879, 10212, 569, 1927, 630, 514, 12972, 1040, 1452, 7293, 2242, 610, 14796, 547, 519, 31175, 543, 4478, 5160, 666, 1711, 7411, 585, 519, 1072, 540, 519, 12636, 269, 1452, 2042, 267, 547, 2012, 513, 1906, 267, 1331, 971, 2188, 607, 7063, 267, 1875, 2987, 329, 1722, 2175, 267, 543, 2242, 9648, 609, 2085, 269, 634, 9433, 2630, 1865, 930, 540, 519, 1394, 2042, 563, 7804, 269, 717, 12505, 754, 571, 19453, 568, 606, 13106, 31517, 31048, 517, 1759, 538, 1715, 16156, 269, 1261, 568, 513, 11285, 538, 713, 6389, 543, 5356, 1896, 2533, 899, 1975, 710, 2126, 269, 2353, 6391, 568, 5340, 607, 829, 519, 11311, 4791, 4441, 563, 1103, 329, 3753, 4749, 2049, 547, 519, 1394, 971, 607, 1793, 5792, 610, 8297, 696, 3293, 25923, 269, 769, 1249, 267, 476, 3199, 2600, 540, 4079, 29153, 540, 1394, 1928, 693, 2547, 2899, 1282, 741, 1272, 942, 269, 1280, 593, 7308, 18191, 984, 7063, 267, 1394, 1928, 5012, 519, 2014, 540, 9659, 6811, 563, 8967, 1180, 2643, 565, 1736, 6257, 513, 2783, 1141, 513, 8919, 630, 628, 514, 5642, 264, 6818, 538, 519, 31175, 693, 513, 1808, 1858, 593, 519, 5642, 267, 1572, 519, 29807, 3955, 691, 7781, 529, 269, 1879, 519, 5642, 9397, 693, 519, 29807, 3955, 691, 7781, 529, 267, 519, 2783, 568, 1572, 838, 1180, 2643, 565, 1736, 269, 634, 16163, 954, 691, 7781, 529, 29084, 593, 519, 1394, 540, 519, 31175, 563, 2419, 5190, 12769, 584, 2590, 609, 12698, 912, 763, 8376, 538, 28115, 894, 4745, 610, 30169, 5540, 519, 25923, 1063, 519, 31175, 4929, 3441, 610, 21324, 540, 713, 2497, 269, 1452, 25923, 10690, 519, 29008, 344, 31289, 543, 519, 7633, 6299, 1927, 4929, 1928, 267, 11926, 543, 2370, 3787, 20765, 538, 2901, 519, 17818, 12636, 540, 519, 8405, 610, 519, 561, 29856, 12636, 540, 519, 2539, 1394, 269, 634, 2783, 4991, 8338, 607, 835, 6502, 269, 9615, 9775, 689, 971, 1806, 607, 6197, 12381, 267, 6527, 267, 2168, 3797, 543, 6391, 269, 0, 763, 9949, 10189, 630, 1492, 10189, 609, 1100, 2012, 994, 763, 1699, 10189, 454, 1432, 1281, 621, 1611, 676, 519, 9949, 543, 519, 1699, 31390, 752, 613, 888, 1103, 9486, 267, 519, 1699, 15682, 4959, 519, 9949, 630, 684, 5991, 3139, 264, 10189, 543, 568, 519, 15682, 602, 596, 616, 9361, 538, 950, 596, 29289, 269, 4475, 952, 972, 568, 1022, 824, 1362, 3758, 538, 519, 1482, 15682, 609, 596, 267, 596, 666, 1569, 621, 1510, 1011, 545, 564, 569, 1104, 532, 621, 563, 263, 539, 1243, 676, 595, 785, 344, 547, 1689, 834, 17569, 720, 257, 8100, 547, 834, 29715, 800, 257, 8100, 12467, 314, 1607, 5048, 814, 1044, 12995, 676, 595, 785, 344, 19371, 630, 539, 1243, 2904, 476, 1704, 267, 476, 1220, 272, 1040, 2639, 2690, 9949, 10189, 621, 4667, 547, 803, 602, 621, 568, 5049, 1510, 10189, 4214, 563, 2252, 1775, 262, 600, 4636, 2995, 803, 1018, 1775, 4413, 454, 5804, 519, 808, 11862, 476, 278, 269, 275, 269, 273, 1133, 24887, 13268, 1137, 454, 2304, 6388, 540, 519, 10084, 3760, 1590, 1489, 693, 2547, 835, 796, 24887, 10189, 282, 621, 949, 1489, 811, 982, 835, 796, 24887, 10189, 855, 568, 711, 2838, 547, 798, 865, 269, 6904, 28094, 4559, 616, 538, 1142, 796, 24887, 10189, 568, 5462, 676, 519, 3984, 1062, 563, 1103, 30582, 540, 519, 10084, 3760, 602, 946, 513, 21712, 3758, 1062, 585, 13936, 15004, 267, 835, 6093, 4640, 568, 547, 12314, 606, 796, 24887, 10189, 609, 1142, 15682, 282, 1152, 835, 796, 24887, 10189, 568, 28507, 693, 513, 942, 267, 12077, 519, 835, 602, 568, 2404, 609, 519, 834, 9690, 2324, 15682, 1701, 634, 5730, 2495, 540, 834, 9690, 2324, 15682, 257, 5673, 593, 519, 3984, 1062, 563, 4462, 24887, 15004, 616, 3177, 676, 519, 10084, 3760, 21246, 958, 585, 13418, 950, 3384, 1507, 610, 10151, 3156, 610, 950, 1175, 4098, 1646, 269, 0, 288, 31254, 32143, 540, 670, 836, 3794, 4575, 454, 1692, 519, 7328, 3323, 543, 3262, 2066, 519, 1158, 454, 1607, 1433, 666, 581, 22434, 543, 1224, 538, 11197, 7734, 593, 707, 5839, 610, 25515, 3926, 563, 1607, 568, 513, 1007, 1433, 593, 519, 1686, 540, 519, 7328, 1318, 689, 519, 1360, 1101, 2395, 269, 898, 2982, 875, 519, 3312, 6667, 585, 519, 9998, 8097, 13793, 1350, 11107, 3357, 689, 519, 16861, 13753, 538, 519, 3735, 476, 4198, 271, 338, 676, 8331, 883, 513, 8465, 13617, 556, 268, 18782, 1350, 3187, 585, 13059, 812, 2740, 2230, 6472, 9108, 547, 3047, 563, 763, 2278, 15244, 1141, 519, 1101, 13793, 1350, 3187, 19426, 941, 1500, 543, 875, 519, 1350, 3187, 6272, 7960, 936, 519, 1296, 269, 1261, 5654, 693, 519, 1259, 519, 7328, 3262, 1472, 519, 1158, 543, 875, 519, 21804, 22555, 2933, 883, 11833, 338, 543, 4889, 725, 6131, 547, 7863, 519, 2924, 540, 1863, 1166, 4536, 563, 15812, 8381, 327, 4461, 729, 835, 540, 519, 1101, 1004, 547, 8038, 13793, 1350, 11107, 538, 519, 5177, 538, 476, 3192, 275, 543, 814, 1044, 7184, 3238, 609, 519, 7328, 2479, 2094, 269, 1261, 814, 2854, 14916, 538, 654, 902, 29755, 21708, 342, 902, 543, 538, 1082, 13793, 1350, 4575, 2835, 543, 17476, 782, 936, 519, 8608, 267, 543, 729, 513, 13653, 4759, 540, 519, 645, 295, 16598, 543, 519, 15562, 24774, 269, 0, 1607, 7084, 17613, 602, 519, 2165, 2048, 720, 1143, 685, 729, 1101, 22579, 676, 7917, 30215, 538, 519, 1032, 476, 3422, 280, 267, 543, 729, 1031, 547, 5581, 513, 1184, 610, 10071, 799, 729, 1644, 547, 513, 2048, 17882, 1738, 8305, 19685, 267, 11830, 2772, 8456, 543, 1463, 610, 1463, 7130, 1996, 1004, 1317, 789, 616, 2025, 685, 7498, 12606, 3758, 547, 1294, 3105, 3817, 2483, 6097, 547, 519, 1353, 2085, 1143, 968, 5586, 527, 23660, 519, 946, 540, 26567, 2085, 547, 1665, 856, 5049, 540, 1004, 945, 616, 18928, 17792, 2200, 543, 3255, 602, 1866, 2972, 267, 543, 945, 7985, 519, 4539, 540, 971, 3954, 12568, 267, 8151, 689, 1134, 13001, 26074, 19121, 720, 547, 796, 3711, 27631, 642, 559, 2305, 9957, 1358, 2417, 1533, 602, 621, 949, 849, 2285, 4473, 547, 1585, 7915, 2942, 4978, 7282, 4587, 1004, 607, 1134, 519, 2898, 1184, 540, 30333, 538, 2489, 267, 4098, 609, 1134, 10784, 1549, 539, 1829, 9146, 547, 796, 25406, 5914, 9011, 1771, 269, 5804, 713, 1957, 621, 568, 2312, 602, 519, 1523, 540, 6520, 1143, 267, 14669, 547, 2442, 4978, 568, 513, 2484, 9962, 1523, 543, 13315, 9962, 2039, 540, 2152, 607, 3379, 547, 6071, 7130, 593, 519, 4493, 540, 2085, 269, 6270, 4978, 616, 2813, 13998, 267, 799, 616, 1287, 18674, 543, 15849, 23624, 1369, 938, 7239, 267, 543, 616, 4810, 538, 938, 1514, 2729, 269, 634, 2165, 2085, 1143, 568, 6140, 1031, 547, 4766, 519, 1585, 28639, 543, 11475, 799, 2291, 538, 938, 7239, 2221, 267, 609, 2543, 547, 4587, 1004, 593, 519, 12406, 540, 741, 2085, 269, 898, 849, 6257, 519, 7180, 799, 568, 9859, 2509, 519, 4587, 2551, 2901, 2047, 610, 18549, 269, 634, 2278, 814, 4857, 1585, 2010, 540, 2085, 1644, 7130, 269, 2755, 15285, 593, 519, 4493, 540, 2085, 568, 513, 12343, 540, 2620, 12082, 1620, 543, 8226, 540, 2043, 543, 6140, 4386, 607, 513, 1267, 540, 513, 2015, 622, 8622, 8540, 540, 519, 2085, 5829, 3604, 269, 4429, 2005, 849, 6257, 519, 7180, 799, 568, 9859, 2509, 519, 4587, 2551, 2901, 2047, 610, 18549, 630, 305, 599, 1696, 620, 1421, 476, 1220, 277, 1040, 634, 2278, 814, 4857, 1585, 2010, 540, 2085, 1644, 7130, 269, 1452, 1331, 896, 11347, 1775, 4318, 269, 12809, 610, 9940, 1106, 540, 7130, 282, 2318, 610, 8825, 7130, 799, 2882, 4758, 3063, 610, 2027, 2126, 547, 519, 1767, 2085, 1895, 282, 543, 2942, 610, 16765, 569, 5739, 7130, 267, 799, 568, 849, 1634, 607, 1463, 7130, 269, 6034, 7130, 4386, 950, 1022, 1367, 568, 2016, 11186, 2126, 593, 519, 4493, 540, 1010, 17017, 2085, 267, 1247, 538, 2013, 540, 9940, 7130, 4352, 1416, 568, 3177, 621, 568, 6035, 538, 971, 513, 1259, 602, 519, 4587, 1004, 3112, 17908, 519, 2533, 6035, 585, 741, 10700, 4324, 267, 543, 3079, 723, 547, 7985, 1813, 547, 19018, 622, 14074, 540, 2533, 630, 23961, 1206, 543, 20484, 267, 476, 1220, 271, 1040, 4340, 547, 17566, 1696, 620, 630, 1220, 277, 1070, 9940, 7130, 4386, 950, 519, 2564, 9439, 610, 3906, 3743, 585, 3246, 1072, 1416, 2533, 9772, 2085, 626, 8456, 609, 2463, 547, 3375, 6194, 543, 3028, 11865, 269, 634, 4507, 3976, 8045, 538, 971, 513, 1259, 723, 2370, 610, 1100, 2543, 547, 519, 2115, 543, 4170, 540, 519, 4587, 3296, 540, 519, 2551, 267, 607, 741, 1072, 1416, 2115, 616, 2016, 2539, 10862, 982, 2838, 269, 4935, 267, 1813, 547, 971, 606, 10182, 540, 519, 1072, 1416, 7426, 267, 519, 9907, 1004, 1265, 2933, 609, 1360, 1906, 8925, 547, 3343, 1072, 1416, 269, 6270, 1826, 540, 2085, 1143, 267, 4352, 3833, 1455, 543, 19856, 656, 267, 568, 2352, 547, 4161, 543, 2232, 267, 2523, 2016, 922, 15739, 564, 610, 1071, 3200, 2470, 269, 4340, 547, 670, 698, 652, 611, 543, 772, 327, 6352, 6199, 630, 1220, 276, 264, 2085, 626, 10182, 568, 1644, 547, 1585, 2188, 454, 1862, 12606, 3758, 547, 1294, 1985, 3817, 5649, 2859, 454, 29241, 713, 3561, 454, 263, 2108, 302, 19520, 20661, 538, 5980, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 4968, 271, 1913, 5608, 562, 6155, 8094, 14303, 7205, 632, 4179, 2517, 29324, 327, 732, 3820, 4882, 3469, 1606, 7220, 270, 16928, 271, 4375, 273, 6040, 518, 14194, 6699, 2987, 1606, 1539, 1214, 21943, 1143, 454, 263, 302, 19520, 20661, 538, 5980, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 4968, 271, 9293, 994, 2108, 302, 19520, 20661, 538, 5980, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 4968, 271, 9293, 5608, 562, 6155, 269, 4179, 2517, 29324, 327, 732, 3820, 4882, 3469, 1606, 7220, 270, 16928, 271, 4375, 273, 6040, 518, 14194, 6699, 2987, 1606, 1539, 1214, 21943, 1143, 563, 10303, 519, 4587, 4079, 267, 6999, 547, 4497, 538, 2168, 5751, 547, 2061, 1082, 1072, 8374, 602, 2097, 827, 609, 10172, 607, 789, 1332, 4587, 543, 7794, 741, 6091, 789, 723, 547, 1491, 1808, 15416, 1247, 8876, 856, 3635, 543, 8516, 1449, 563, 11039, 1145, 267, 24524, 267, 543, 31701, 14423, 563, 16498, 2238, 723, 9863, 547, 581, 5393, 1898, 538, 5355, 543, 538, 519, 5826, 540, 2635, 19824, 269, 8447, 3635, 2337, 538, 7303, 7050, 2597, 543, 538, 519, 5826, 540, 2597, 2530, 269, 19627, 267, 2168, 2238, 11226, 538, 28530, 4049, 3676, 543, 2635, 2175, 563, 763, 2278, 2829, 602, 1762, 4079, 543, 1453, 723, 3908, 3346, 609, 519, 4587, 4079, 543, 789, 949, 1020, 4978, 593, 519, 3390, 540, 10172, 4470, 593, 1018, 789, 5873, 543, 1294, 538, 519, 2923, 269, 1403, 972, 521, 896, 10517, 19948, 540, 519, 4587, 4079, 538, 519, 2923, 610, 1034, 540, 519, 2923, 11269, 616, 2942, 563, 302, 19520, 4079, 2671, 519, 13283, 547, 3251, 538, 741, 5321, 11489, 741, 2669, 563, 32381, 540, 519, 4644, 540, 519, 3390, 267, 3875, 2591, 723, 4299, 519, 10421, 269, 1280, 3236, 267, 9367, 3077, 891, 5321, 2094, 454, 763, 1985, 3296, 540, 713, 1382, 9916, 519, 3069, 540, 3872, 1072, 5009, 1949, 543, 1336, 856, 602, 621, 568, 4143, 547, 519, 1888, 540, 8377, 1851, 4587, 11923, 269, 901, 3069, 13187, 602, 1072, 2069, 543, 11807, 454, 2005, 568, 519, 3119, 2707, 4081, 4760, 585, 1346, 945, 13599, 1866, 827, 11361, 1004, 538, 519, 2486, 610, 875, 547, 960, 609, 4587, 7606, 543, 1346, 945, 4196, 519, 11361, 2933, 269, 623, 3019, 543, 3131, 3149, 630, 1220, 278, 264, 1039, 602, 519, 4760, 16881, 585, 519, 5385, 540, 454, 2690, 513, 1762, 581, 516, 8491, 2937, 519, 2530, 540, 835, 2385, 949, 581, 21472, 2094, 621, 5540, 711, 1152, 1010, 2596, 3872, 2115, 855, 849, 1010, 1272, 2833, 543, 4876, 269, 1306, 513, 1267, 267, 519, 1762, 2937, 786, 723, 17379, 28671, 543, 27907, 538, 519, 454, 277, 9664, 263, 5611, 271, 1913, 264, 10112, 9892, 454, 294, 5588, 589, 13138, 27912, 312, 32530, 3582, 286, 23414, 292, 25893, 4888, 4888, 14684, 2207, 20978, 22295, 19006, 22244, 17395, 9358, 2336, 4131, 721, 1265, 596, 1776, 12143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2870, 1164, 7779, 5907, 5370, 269, 5808, 6487, 1107, 6148, 1985, 942, 2576, 12134, 827, 6552, 960, 10509, 267, 594, 3513, 2303, 789, 2119, 938, 1899, 540, 1283, 27677, 577, 18638, 21697, 3079, 256, 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, 29205, 596, 1683, 1344, 593, 875, 519, 11418, 2872, 814, 9862, 547, 519, 6855, 267, 1519, 2799, 3747, 585, 6552, 960, 4066, 543, 2242, 538, 3761, 5832, 2359, 888, 8133, 267, 594, 666, 1683, 1344, 593, 875, 519, 11418, 2872, 814, 9862, 547, 519, 6855, 780, 272, 269, 16842, 3747, 585, 6552, 960, 4066, 281, 634, 6855, 814, 7494, 2799, 519, 3747, 585, 6552, 960, 4066, 971, 607, 24195, 267, 5904, 267, 543, 14342, 269, 1306, 513, 1267, 267, 519, 11418, 2872, 814, 15527, 676, 15155, 4771, 909, 2504, 540, 891, 3457, 547, 2743, 519, 2799, 3747, 780, 273, 269, 15448, 538, 3761, 5832, 2359, 281, 634, 6855, 814, 849, 3361, 1713, 21463, 538, 3761, 5832, 2359, 585, 519, 11418, 2872, 269, 3509, 3549, 723, 1185, 547, 4188, 741, 27126, 543, 3892, 2994, 547, 2272, 585, 17799, 543, 22520, 3361, 676, 519, 6855, 269, 3958, 267, 3549, 723, 1185, 547, 1265, 1007, 2081, 547, 4383, 741, 3761, 11800, 20716, 267, 971, 607, 7598, 1007, 3301, 543, 2792, 1932, 10640, 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, 0, 6092, 5149, 281, 26499, 5525, 910, 634, 12472, 540, 834, 763, 9549, 257, 10417, 538, 14100, 1143, 692, 5970, 596, 2479, 4862, 540, 519, 2262, 834, 4820, 344, 257, 1354, 286, 2986, 1576, 267, 596, 723, 256, 589, 5428, 666, 1611, 513, 1514, 11018, 1141, 1004, 723, 1187, 267, 7544, 267, 543, 3548, 14735, 269, 1809, 1705, 596, 917, 602, 519, 2165, 834, 8512, 344, 257, 814, 1776, 2495, 538, 519, 1158, 540, 6214, 543, 1514, 2257, 286, 898, 4016, 547, 513, 2797, 3919, 1500, 909, 540, 2043, 945, 2671, 2147, 4978, 543, 3853, 827, 875, 2486, 1058, 581, 2196, 780, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 519, 4720, 540, 519, 1523, 540, 834, 763, 9549, 257, 1369, 519, 31767, 2245, 269, 1284, 3513, 1451, 827, 930, 4583, 5515, 2404, 609, 621, 267, 971, 607, 20913, 14100, 267, 26179, 1621, 1564, 267, 28266, 24006, 655, 7921, 267, 32157, 22255, 514, 267, 15182, 570, 12783, 5652, 267, 543, 811, 269, 1635, 4974, 891, 17691, 543, 741, 7418, 267, 649, 4126, 547, 1732, 1174, 519, 1114, 12496, 543, 3156, 540, 31767, 19237, 2429, 1686, 780, 4131, 781, 2253, 938, 3460, 676, 1620, 1018, 14100, 1143, 1797, 269, 2311, 922, 4295, 267, 14100, 1143, 568, 513, 8739, 20300, 3069, 2919, 676, 20913, 14100, 543, 26179, 1621, 1564, 269, 1358, 5156, 602, 1362, 6560, 729, 519, 6117, 3196, 3297, 782, 3140, 7835, 269, 13018, 267, 789, 4718, 4655, 1063, 1079, 1292, 5049, 1107, 519, 536, 28123, 12251, 773, 630, 5115, 1388, 1235, 264, 543, 519, 605, 2280, 30353, 630, 11529, 1362, 1040, 4340, 547, 873, 267, 16851, 1131, 5555, 1291, 547, 513, 4838, 1141, 4600, 1131, 4473, 1996, 3854, 1235, 267, 4611, 538, 513, 21340, 2486, 1863, 540, 14226, 543, 8635, 780, 3086, 267, 1577, 781, 4685, 883, 519, 2856, 540, 834, 763, 9549, 1701, 2755, 14100, 543, 1621, 1564, 5206, 14916, 827, 11832, 17604, 543, 3486, 5322, 267, 789, 941, 1447, 2312, 827, 519, 1808, 1909, 540, 513, 2797, 5428, 269, 6884, 267, 789, 8604, 547, 17538, 602, 972, 12582, 1405, 581, 1022, 6101, 5428, 2497, 267, 1247, 824, 2053, 6700, 6382, 269, 901, 13509, 2813, 4055, 585, 7664, 543, 3366, 547, 1585, 4485, 1851, 2663, 31767, 17024, 780, 5278, 3401, 3576, 14100, 543, 1621, 1564, 262, 12591, 547, 12167, 585, 2178, 21438, 6105, 3056, 26201, 269, 1280, 1383, 267, 4436, 4317, 24273, 899, 4864, 2142, 10964, 267, 30247, 17389, 321, 330, 928, 19816, 267, 543, 20913, 918, 2246, 20391, 15091, 2679, 3532, 1514, 11180, 6105, 547, 7930, 2981, 7239, 998, 25931, 3157, 269, 11531, 267, 6739, 12157, 9917, 12858, 802, 899, 22255, 514, 543, 570, 12783, 5652, 11130, 602, 642, 1481, 731, 6105, 7768, 540, 3318, 4838, 2456, 941, 2556, 547, 28958, 1379, 1282, 8090, 540, 6433, 543, 20576, 4028, 1689, 780, 4913, 267, 711, 3025, 8815, 609, 891, 5784, 269, 2368, 14100, 1235, 22309, 519, 5834, 540, 1379, 538, 2582, 3906, 269, 14470, 8566, 9007, 12316, 28266, 24006, 655, 7921, 19230, 540, 1761, 12178, 950, 6105, 30049, 1242, 3375, 6194, 7060, 269, 2701, 23647, 3079, 585, 21245, 2527, 3527, 9141, 676, 7584, 7146, 1922, 850, 4600, 269, 6684, 267, 519, 10656, 8566, 9007, 1975, 691, 659, 639, 13477, 543, 519, 7969, 19797, 19382, 15653, 21712, 3889, 267, 7957, 1681, 29065, 12180, 543, 1463, 2962, 780, 3383, 1946, 1281, 713, 2339, 286, 4197, 891, 9840, 2337, 721, 5660, 519, 4763, 540, 2219, 1369, 14100, 1143, 543, 9787, 1946, 1978, 2994, 16309, 610, 8959, 269, 5047, 267, 10452, 2390, 891, 5717, 2636, 4207, 15628, 547, 556, 24834, 10663, 2250, 2833, 543, 1020, 1007, 12485, 14018, 585, 2221, 781, 9620, 780, 2414, 2040, 909, 267, 519, 10828, 540, 834, 763, 9549, 257, 538, 14100, 1143, 7960, 3648, 2094, 922, 27299, 269, 3245, 22394, 10372, 538, 14100, 543, 1621, 1564, 262, 1568, 547, 6405, 30582, 896, 9565, 3401, 267, 8795, 5380, 7153, 3823, 519, 1599, 543, 1106, 540, 2797, 6105, 1369, 14100, 1014, 8658, 269, 24167, 891, 2984, 27862, 938, 8223, 540, 1950, 3140, 2621, 543, 28382, 721, 609, 3407, 4030, 10858, 547, 2413, 1914, 19205, 8916, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 1557, 676, 32449, 11552, 27800, 19797, 324, 593, 519, 8129, 543, 1646, 540, 519, 1523, 540, 968, 1492, 9549, 892, 538, 519, 31767, 2245, 267, 609, 2565, 9382, 540, 519, 32475, 540, 14100, 779, 543, 1621, 1564, 685, 7477, 650, 725, 593, 713, 3390, 267, 543, 741, 9864, 5539, 585, 519, 7766, 4876, 540, 519, 9549, 1523, 538, 922, 32545, 693, 519, 3946, 540, 17389, 321, 330, 928, 19816, 267, 2142, 10964, 267, 918, 2246, 20391, 267, 22255, 514, 267, 570, 12783, 5652, 543, 645, 867, 27004, 630, 25791, 11180, 15364, 267, 519, 28983, 1222, 540, 519, 9549, 1070, 543, 922, 9097, 2943, 13385, 6963, 2827, 676, 24006, 655, 7921, 267, 519, 918, 4338, 291, 543, 1866, 12462, 8873, 547, 14100, 5608, 968, 18856, 9549, 5608, 519, 968, 11321, 343, 9549, 892, 1765, 528, 1256, 519, 968, 5719, 321, 867, 5428, 14615, 607, 513, 12316, 12102, 4171, 3804, 568, 547, 3895, 605, 2280, 4115, 13190, 563, 9616, 547, 519, 5467, 454, 763, 1257, 3370, 538, 713, 3390, 568, 519, 1587, 540, 513, 7104, 1788, 17298, 936, 513, 1974, 540, 1614, 1296, 676, 519, 1895, 968, 303, 712, 11552, 27800, 19797, 324, 892, 630, 6518, 3370, 519, 4760, 267, 8614, 2317, 570, 879, 701, 1040, 20323, 5497, 547, 17663, 519, 1101, 851, 540, 513, 3677, 960, 593, 519, 1888, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26765, 754, 5525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 23205, 16161, 1299, 19088, 1108, 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, 667, 12495, 1944, 543, 13207, 32211, 910, 10435, 2659, 8844, 31418, 1512, 692, 5970, 596, 2479, 5280, 707, 3237, 2973, 856, 519, 25880, 610, 513, 5008, 564, 286, 9894, 621, 1745, 899, 972, 941, 1932, 1082, 1919, 602, 596, 4769, 1405, 991, 15042, 286, 1879, 1004, 2661, 538, 835, 1747, 585, 513, 1279, 942, 267, 789, 4043, 547, 18645, 6266, 540, 3688, 269, 6884, 267, 891, 1919, 666, 1491, 909, 3407, 2230, 543, 1256, 2014, 3063, 960, 547, 1832, 873, 6896, 256, 2334, 781, 1141, 17498, 1944, 543, 3616, 32211, 2097, 538, 13561, 269, 1452, 3157, 948, 596, 1205, 7759, 540, 11991, 3688, 543, 1118, 707, 1753, 22619, 344, 543, 6899, 269, 898, 3587, 2523, 3730, 950, 4058, 513, 2462, 1847, 547, 513, 1007, 2777, 269, 2913, 781, 2263, 1946, 543, 875, 547, 3927, 17498, 1125, 543, 3616, 13616, 780, 3725, 1783, 1948, 272, 281, 19369, 585, 513, 8262, 8844, 454, 5331, 2348, 547, 3640, 782, 540, 707, 9162, 267, 2835, 267, 9660, 267, 543, 824, 22590, 883, 10833, 585, 513, 1847, 269, 16319, 11566, 267, 1318, 286, 3767, 4952, 952, 596, 1185, 7864, 1919, 547, 3640, 1107, 9327, 1405, 602, 1118, 519, 2898, 1995, 1447, 18447, 286, 1635, 17498, 1944, 543, 3616, 32211, 267, 596, 616, 1818, 707, 2104, 1847, 1454, 4443, 676, 4227, 519, 1297, 540, 3688, 596, 991, 547, 3560, 269, 9578, 267, 596, 1522, 1256, 3605, 930, 16618, 16782, 2059, 519, 1259, 2439, 3725, 1783, 1948, 273, 281, 16440, 14559, 543, 6611, 454, 2691, 3001, 267, 1169, 4216, 12523, 2509, 519, 2698, 1942, 269, 23225, 518, 3688, 1611, 2539, 9276, 269, 3958, 267, 2348, 7864, 28378, 1797, 17596, 1447, 2230, 538, 707, 1007, 1753, 269, 1411, 4465, 1405, 723, 547, 5855, 827, 4466, 4055, 585, 3388, 267, 799, 2306, 12180, 707, 1007, 2713, 20453, 1454, 12863, 780, 3086, 602, 649, 1174, 519, 2640, 1577, 781, 4685, 883, 519, 3268, 585, 17498, 1944, 543, 3616, 32211, 1384, 3721, 476, 272, 281, 4643, 589, 3650, 454, 24876, 3054, 7899, 540, 942, 547, 979, 998, 707, 28378, 269, 18786, 1896, 3275, 1354, 707, 9709, 1847, 5849, 596, 1810, 1405, 19060, 883, 1022, 3375, 543, 2337, 2569, 2566, 1282, 519, 24386, 3942, 269, 6164, 1142, 6221, 5402, 543, 24617, 282, 3314, 267, 2576, 10027, 8460, 1018, 596, 1100, 3476, 1616, 610, 991, 780, 3721, 476, 273, 281, 10439, 1125, 2659, 1715, 5851, 454, 2414, 6707, 17498, 1125, 267, 6616, 519, 2450, 543, 11768, 540, 707, 1007, 15335, 568, 1898, 269, 12763, 519, 11623, 543, 4859, 5624, 865, 596, 917, 4010, 875, 1454, 1858, 596, 723, 585, 11647, 267, 14233, 267, 543, 2123, 3688, 269, 11109, 891, 7403, 786, 849, 4217, 596, 538, 14045, 799, 4773, 540, 11647, 547, 3142, 609, 596, 780, 4415, 15792, 7041, 543, 1620, 540, 707, 1007, 2230, 267, 17498, 1944, 543, 3616, 32211, 1831, 19242, 4247, 3056, 547, 513, 23704, 1847, 269, 1924, 10544, 513, 3659, 610, 1920, 4759, 543, 1376, 3695, 1346, 5008, 1115, 543, 2721, 619, 1927, 256, 5808, 6487, 1018, 6456, 21889, 24098, 6602, 1247, 28976, 707, 7622, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 8221, 949, 581, 1312, 17938, 1791, 908, 543, 25254, 269, 25021, 547, 513, 1007, 4087, 610, 17498, 1944, 547, 513, 4130, 2230, 2356, 2882, 513, 8101, 16369, 538, 707, 1272, 269, 667, 12495, 1944, 568, 606, 1271, 2534, 547, 2347, 950, 8600, 585, 513, 882, 6327, 269, 667, 12495, 1944, 2636, 596, 547, 3616, 13616, 267, 4688, 2724, 593, 3001, 3790, 267, 543, 10891, 707, 8631, 585, 707, 1007, 1753, 269, 769, 713, 3391, 267, 649, 3580, 979, 936, 875, 547, 7561, 17498, 1125, 1354, 707, 2101, 1847, 563, 272, 269, 10670, 7216, 454, 28275, 2038, 568, 519, 1883, 547, 513, 3811, 17498, 1944, 1184, 269, 14190, 2614, 942, 547, 4990, 998, 707, 28378, 267, 1118, 3664, 267, 543, 2057, 519, 2063, 18826, 31657, 269, 10670, 16756, 532, 693, 2547, 513, 1906, 3275, 1354, 707, 5497, 1847, 4266, 269, 901, 786, 1450, 596, 547, 1118, 811, 5483, 3664, 543, 6175, 519, 2566, 540, 3001, 563, 273, 269, 21414, 2659, 1715, 19715, 454, 6524, 596, 2253, 17498, 1944, 267, 596, 1590, 723, 513, 9488, 2856, 540, 707, 1007, 2713, 2230, 269, 12763, 519, 11623, 543, 4859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11907, 267, 7329, 343, 284, 11907, 17482, 314, 271, 316, 12262, 476, 273, 994, 7884, 1103, 713, 1383, 267, 649, 616, 2870, 513, 20856, 675, 1572, 2387, 10823, 12774, 319, 609, 513, 2387, 7116, 2544, 319, 9165, 269, 901, 20856, 675, 7024, 513, 3957, 24042, 1572, 2387, 5522, 31857, 10574, 319, 609, 1614, 4610, 281, 2387, 340, 340, 12452, 2387, 11907, 12452, 543, 2387, 30915, 27471, 763, 2387, 340, 340, 319, 2361, 568, 606, 5044, 540, 476, 12553, 14961, 22274, 2418, 1063, 476, 271, 543, 12631, 267, 6383, 1210, 17877, 781, 2387, 331, 1231, 10628, 319, 1599, 269, 634, 2387, 11907, 319, 2361, 568, 513, 476, 273, 291, 5044, 6383, 676, 14921, 1079, 25482, 3252, 609, 1114, 11775, 269, 634, 2387, 30915, 319, 2361, 568, 519, 4994, 540, 519, 1647, 3693, 540, 519, 2387, 11907, 319, 5044, 780, 1607, 20856, 675, 666, 581, 1031, 676, 1449, 3252, 547, 5352, 513, 10471, 585, 28321, 269, 1635, 1210, 513, 20856, 675, 267, 649, 2327, 602, 519, 10471, 568, 6383, 9846, 543, 28761, 585, 1142, 1449, 780, 1103, 3932, 267, 26892, 538, 12877, 11687, 616, 513, 3532, 1907, 585, 4259, 909, 1239, 543, 2200, 585, 938, 4255, 269, 1358, 948, 721, 2328, 811, 6325, 543, 2226, 762, 4255, 676, 3246, 513, 6378, 15977, 585, 938, 4255, 547, 14892, 269, 1635, 1620, 519, 1523, 540, 26892, 543, 875, 547, 946, 873, 267, 649, 666, 2328, 1732, 4255, 543, 2087, 519, 2298, 540, 938, 3009, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 7510, 11687, 454, 5814, 11885, 607, 5286, 454, 5228, 10070, 1104, 3957, 14654, 921, 7531, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 6889, 7116, 2544, 5602, 3698, 12301, 12774, 10031, 825, 1948, 1239, 585, 28321, 454, 825, 18140, 1154, 10574, 815, 3957, 14654, 921, 2891, 7120, 1154, 12774, 2580, 22373, 340, 340, 2580, 834, 11907, 2580, 834, 30915, 257, 7481, 825, 579, 340, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 5286, 32564, 267, 476, 12553, 994, 825, 1239, 815, 5286, 269, 6523, 26086, 340, 910, 476, 271, 269, 276, 264, 2608, 5286, 269, 6523, 26086, 340, 269, 31412, 8987, 272, 267, 476, 272, 264, 910, 476, 272, 269, 271, 994, 825, 2132, 18140, 1154, 10574, 26086, 340, 284, 340, 340, 267, 1239, 284, 11907, 267, 7329, 343, 284, 11907, 17482, 314, 271, 316, 12262, 476, 273, 994, 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, 6092, 5149, 281, 4197, 3117, 13521, 730, 11038, 32276, 692, 5331, 596, 616, 851, 540, 513, 2462, 1920, 602, 2882, 707, 3237, 267, 16254, 267, 22594, 267, 796, 3380, 267, 31225, 338, 267, 543, 30980, 269, 1411, 1522, 1832, 3950, 540, 1142, 1268, 781, 2724, 14384, 910, 1018, 789, 7118, 267, 6108, 267, 543, 4688, 269, 1809, 3006, 621, 666, 581, 5363, 547, 1413, 693, 519, 2898, 1920, 781, 18083, 1927, 269, 901, 1259, 267, 596, 666, 1294, 875, 1454, 2724, 3025, 814, 12236, 267, 6170, 267, 543, 10710, 5916, 269, 2334, 781, 2147, 547, 1018, 4213, 798, 950, 789, 5965, 1945, 1572, 834, 4621, 13521, 730, 2883, 6898, 3010, 8256, 13521, 730, 2883, 6898, 1397, 519, 2883, 3510, 540, 513, 2385, 2754, 543, 922, 13564, 10706, 3549, 267, 899, 835, 2462, 6126, 1870, 1920, 256, 1452, 6898, 9192, 519, 1367, 2883, 1344, 540, 1142, 2754, 883, 835, 1305, 540, 5359, 269, 898, 2337, 1004, 1174, 519, 2949, 2773, 543, 2883, 2990, 540, 519, 3003, 1895, 269, 2913, 803, 2491, 713, 1210, 513, 2241, 1383, 780, 4131, 781, 2161, 972, 781, 513, 2754, 3957, 13235, 29651, 1421, 799, 22595, 1079, 824, 4213, 1107, 2473, 312, 313, 5549, 269, 543, 476, 11277, 9373, 1440, 2478, 269, 3962, 540, 891, 1614, 3549, 8952, 741, 1378, 5638, 540, 4747, 267, 9276, 267, 7221, 267, 20824, 267, 543, 9698, 2429, 519, 1032, 269, 2311, 519, 1439, 540, 519, 1032, 267, 3079, 540, 3168, 693, 873, 14350, 267, 13235, 29651, 269, 10905, 782, 1346, 2338, 883, 835, 1867, 269, 901, 2306, 621, 4443, 547, 1205, 513, 2347, 4605, 540, 519, 2898, 1895, 781, 2883, 1072, 780, 3086, 1577, 781, 2911, 827, 930, 1898, 3344, 540, 8600, 19597, 730, 2883, 6898, 269, 1358, 1590, 1246, 1808, 3652, 267, 1175, 899, 1739, 10346, 1247, 11256, 12897, 256, 8409, 4808, 2097, 689, 3486, 3906, 971, 607, 519, 4139, 19098, 11621, 8274, 630, 296, 3008, 289, 264, 945, 1711, 4441, 1634, 607, 17692, 11965, 630, 17220, 11038, 27561, 11621, 1040, 14992, 5001, 946, 891, 3741, 547, 2327, 602, 3025, 14753, 519, 1482, 1893, 3823, 8804, 543, 8989, 780, 2691, 2870, 19597, 730, 2883, 6898, 267, 1934, 616, 513, 1906, 1883, 1919, 547, 3314, 1384, 272, 269, 2878, 1103, 2424, 4995, 8307, 1331, 519, 2385, 2754, 543, 922, 13564, 25808, 269, 1924, 952, 938, 1383, 1185, 811, 3549, 11262, 676, 2473, 312, 313, 5549, 269, 610, 476, 11277, 9373, 1440, 2478, 267, 649, 9327, 1405, 1039, 873, 1317, 789, 5749, 1405, 2047, 6417, 676, 13235, 29651, 563, 273, 269, 2878, 20755, 532, 4995, 16259, 519, 6898, 585, 519, 1482, 942, 1974, 267, 2356, 12422, 610, 10116, 569, 269, 1280, 3236, 267, 13235, 29651, 9538, 338, 19597, 730, 2883, 3948, 1131, 3382, 5130, 476, 272, 560, 547, 5412, 476, 4029, 560, 1169, 1032, 563, 274, 269, 2878, 27609, 566, 4995, 28799, 519, 6589, 540, 1142, 2754, 1899, 676, 1899, 267, 1818, 2386, 547, 9004, 1022, 8852, 1063, 873, 547, 2061, 5595, 10203, 563, 275, 269, 2878, 7343, 549, 1998, 4995, 5620, 519, 4604, 540, 19971, 29343, 543, 2278, 1125, 519, 3803, 4528, 1354, 4687, 621, 15597, 563, 276, 269, 2878, 9558, 10337, 4995, 22682, 30035, 1713, 8051, 4507, 1031, 1282, 21339, 865, 3988, 666, 1732, 1174, 3664, 1500, 2059, 519, 1259, 780, 3528, 1631, 267, 596, 949, 8275, 1946, 1620, 19597, 730, 2883, 6898, 568, 1271, 9789, 344, 1683, 3407, 4030, 883, 513, 1870, 10504, 781, 2949, 8171, 256, 5994, 1373, 2111, 547, 5659, 1585, 2516, 899, 8835, 267, 5616, 267, 610, 18557, 1210, 891, 2645, 282, 596, 1223, 1451, 865, 1454, 827, 741, 18454, 543, 2591, 269, 5901, 3695, 267, 543, 4166, 2614, 267, 1256, 1950, 3584, 786, 1831, 2034, 2470, 547, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14294, 881, 656, 8051, 24727, 454, 347, 1321, 3933, 2195, 7736, 539, 2008, 13356, 269, 476, 4029, 267, 476, 1708, 273, 454, 347, 11514, 26918, 2986, 31056, 19098, 24727, 1496, 20082, 316, 2008, 347, 14294, 881, 656, 8051, 4507, 1475, 454, 273, 269, 31056, 8051, 4507, 454, 273, 269, 272, 5178, 529, 540, 7041, 454, 763, 19597, 730, 2883, 6898, 16922, 519, 2883, 6898, 540, 519, 7577, 543, 922, 13564, 25808, 607, 693, 5412, 476, 4029, 267, 476, 1708, 272, 543, 476, 1708, 273, 267, 543, 585, 519, 1296, 8694, 5412, 476, 4029, 267, 476, 1708, 273, 267, 476, 1708, 272, 543, 476, 1708, 271, 269, 634, 19597, 730, 2883, 6898, 941, 17101, 585, 1615, 340, 766, 676, 6571, 540, 519, 8274, 540, 6034, 832, 593, 4728, 476, 272, 267, 476, 1708, 274, 563, 763, 19597, 730, 2883, 6898, 540, 519, 6828, 723, 1044, 5423, 538, 13076, 609, 519, 4139, 11038, 27561, 11621, 607, 9783, 676, 519, 4139, 19098, 11621, 8274, 630, 9281, 11965, 1916, 763, 8051, 4507, 7150, 2630, 723, 267, 8259, 6382, 7150, 267, 1044, 4294, 9846, 936, 782, 5712, 4843, 538, 519, 19597, 730, 2883, 6898, 269, 634, 6828, 779, 8051, 4507, 723, 1044, 4294, 9846, 676, 519, 6828, 779, 3549, 563, 307, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 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, 6637, 476, 1015, 281, 29460, 606, 11629, 610, 25181, 5071, 518, 692, 5970, 596, 2479, 2219, 827, 1018, 621, 3217, 547, 1831, 606, 4056, 610, 9703, 14704, 286, 1452, 616, 1004, 945, 948, 1711, 543, 1374, 5656, 267, 5321, 267, 543, 5624, 1141, 649, 2661, 267, 960, 267, 543, 1404, 256, 1358, 946, 5876, 267, 2257, 267, 543, 2979, 547, 2097, 909, 609, 6272, 602, 616, 1312, 6198, 543, 4190, 780, 5331, 1373, 2111, 547, 1491, 2576, 781, 5075, 585, 741, 5326, 1753, 543, 7432, 621, 883, 513, 1483, 1747, 789, 666, 2661, 538, 269, 2334, 781, 1018, 16413, 543, 9703, 9858, 1205, 547, 798, 1169, 1554, 256, 1809, 1354, 789, 666, 1376, 8888, 267, 789, 723, 547, 979, 998, 513, 2603, 540, 2866, 543, 4058, 780, 3383, 267, 875, 798, 596, 1831, 606, 4056, 610, 9703, 14704, 286, 634, 1101, 1900, 568, 1620, 1018, 2186, 540, 1788, 596, 1616, 547, 960, 593, 269, 3657, 596, 5461, 538, 8888, 1164, 8573, 1047, 1236, 903, 322, 1905, 619, 267, 18241, 1920, 5321, 267, 610, 6148, 1256, 15882, 543, 10918, 544, 8712, 286, 18833, 1018, 1826, 540, 1788, 4690, 596, 786, 948, 3391, 707, 2069, 543, 4876, 2619, 780, 5629, 596, 917, 1018, 2186, 540, 1788, 596, 1616, 547, 960, 593, 267, 621, 781, 942, 547, 1376, 1565, 827, 6189, 543, 9703, 1374, 269, 901, 2356, 3322, 2469, 547, 2852, 610, 6280, 543, 2921, 5049, 538, 5396, 899, 5373, 267, 2979, 267, 543, 4702, 269, 1411, 1522, 849, 1451, 827, 1114, 6163, 540, 6189, 543, 9703, 1374, 2429, 1686, 780, 3719, 1175, 6616, 827, 6189, 543, 9703, 1374, 3884, 1405, 2614, 1107, 596, 849, 991, 547, 581, 2111, 547, 5968, 707, 2093, 547, 824, 1004, 269, 901, 1797, 1565, 875, 547, 2721, 543, 17250, 856, 707, 6272, 865, 602, 1866, 666, 1294, 1018, 596, 2811, 19424, 532, 269, 1411, 1522, 849, 1451, 875, 547, 946, 2780, 3292, 547, 1711, 3059, 3631, 540, 707, 6272, 780, 2026, 606, 4056, 610, 9703, 14704, 267, 596, 3513, 849, 991, 547, 1589, 827, 1919, 899, 6578, 543, 15415, 269, 1215, 1454, 2724, 1281, 707, 7817, 723, 547, 6108, 593, 519, 1788, 286, 1879, 798, 789, 991, 621, 8737, 676, 286, 4197, 891, 2188, 786, 948, 596, 1711, 513, 1374, 602, 13352, 1369, 707, 7817, 781, 10148, 780, 8170, 1576, 267, 3106, 568, 2141, 513, 1283, 10862, 585, 16413, 543, 9703, 9858, 269, 1358, 991, 547, 1118, 2386, 602, 741, 6272, 2743, 1978, 4441, 543, 9479, 865, 602, 519, 5656, 543, 5624, 789, 1711, 616, 2922, 585, 1004, 547, 946, 780, 3086, 602, 596, 917, 513, 2370, 3787, 811, 827, 1018, 621, 3217, 547, 1831, 606, 4056, 610, 9703, 14704, 267, 1577, 781, 2911, 827, 930, 2055, 596, 666, 2307, 3054, 630, 663, 1761, 12820, 264, 607, 596, 1376, 3206, 827, 713, 4876, 2619, 780, 265, 1548, 2186, 540, 1788, 1131, 594, 899, 547, 960, 593, 286, 1772, 621, 10821, 630, 327, 2345, 1070, 5010, 630, 4752, 823, 5656, 267, 8637, 1070, 610, 1945, 3116, 7357, 888, 265, 7316, 1705, 1250, 5172, 16413, 610, 9703, 9858, 1353, 286, 6904, 3506, 2709, 1434, 3292, 538, 6189, 610, 9703, 1374, 888, 265, 1215, 3238, 798, 594, 1616, 547, 581, 538, 519, 2679, 22812, 7116, 9934, 1184, 286, 14348, 594, 4782, 547, 1445, 593, 1374, 1152, 267, 610, 798, 594, 1616, 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 ]
[ 481, 25078, 12168, 365, 15906, 14534, 18716, 634, 5920, 540, 513, 941, 342, 6504, 538, 922, 3662, 1106, 9775, 689, 2528, 547, 2528, 267, 1498, 789, 616, 849, 1034, 4122, 17814, 607, 1373, 967, 626, 3907, 27720, 689, 8723, 20384, 4688, 585, 519, 1249, 602, 789, 723, 849, 1100, 2766, 910, 513, 16023, 2219, 8984, 540, 26734, 538, 3662, 1106, 910, 543, 602, 789, 11677, 1480, 4064, 543, 5639, 269, 901, 1797, 602, 519, 3047, 568, 678, 5241, 998, 2230, 1472, 519, 6129, 693, 513, 2557, 540, 827, 476, 6858, 267, 1822, 5195, 829, 5662, 256, 634, 942, 621, 3217, 585, 519, 3047, 547, 979, 1472, 519, 6129, 835, 2407, 942, 568, 1018, 649, 1289, 513, 1032, 269, 0, 20084, 4365, 281, 24627, 338, 1223, 723, 14042, 2825, 1764, 1107, 607, 2831, 546, 3497, 610, 5884, 689, 3668, 540, 1426, 454, 2026, 7264, 3136, 547, 7985, 267, 519, 2825, 10969, 566, 568, 7000, 454, 763, 2407, 4336, 540, 519, 3441, 1373, 20739, 8898, 2390, 7320, 543, 8134, 676, 14700, 666, 581, 7000, 2221, 267, 607, 5726, 1235, 24633, 602, 6628, 1223, 723, 606, 968, 11274, 5193, 569, 14042, 1604, 10071, 892, 593, 922, 3946, 563, 301, 2135, 1190, 7250, 20962, 728, 32669, 543, 1291, 15464, 616, 1851, 519, 6937, 689, 6360, 4248, 12526, 1107, 1247, 2831, 693, 3592, 782, 5933, 540, 519, 1426, 5832, 267, 689, 7786, 547, 1507, 11864, 543, 5017, 267, 616, 2907, 2219, 547, 581, 546, 20621, 610, 12955, 689, 3668, 540, 1426, 563, 295, 8354, 327, 9233, 267, 3983, 7970, 267, 2019, 525, 267, 17494, 267, 5017, 267, 3574, 8983, 543, 536, 18443, 32048, 1107, 782, 616, 1767, 547, 581, 829, 5109, 267, 2687, 547, 4966, 563, 6624, 2831, 1223, 581, 8914, 539, 676, 6360, 4248, 23799, 1026, 5024, 13851, 543, 6757, 6464, 689, 4853, 4609, 267, 513, 1007, 1867, 6920, 563, 763, 1353, 267, 3370, 538, 519, 4760, 3163, 540, 519, 11192, 5113, 267, 6402, 6360, 21622, 12526, 547, 1291, 15464, 538, 2831, 585, 519, 1101, 942, 269, 898, 1336, 602, 1291, 2000, 23565, 6360, 31662, 941, 3743, 585, 519, 2669, 540, 1079, 1762, 12418, 593, 513, 4639, 12986, 3484, 538, 519, 4832, 540, 476, 1001, 273, 676, 15464, 3623, 720, 2759, 689, 513, 13572, 2361, 602, 789, 10057, 563, 2108, 2691, 12418, 543, 13265, 1178, 2763, 789, 666, 3006, 3824, 652, 1507, 9424, 540, 3037, 676, 8009, 269, 9540, 9274, 540, 11159, 666, 849, 1205, 12758, 547, 519, 6371, 607, 519, 6360, 4248, 973, 26433, 2223, 1767, 3220, 6754, 30179, 518, 540, 589, 828, 22438, 342, 2814, 2160, 267, 835, 540, 519, 1353, 779, 4589, 563, 763, 13572, 1570, 568, 2219, 547, 22132, 689, 3140, 4496, 5599, 538, 519, 1858, 799, 729, 18233, 19654, 689, 5599, 4609, 543, 2482, 593, 519, 6360, 21622, 585, 1296, 1107, 2394, 4764, 18233, 621, 883, 519, 5757, 1354, 621, 27876, 856, 1586, 19654, 269, 8278, 5505, 2161, 713, 2186, 540, 1570, 666, 2951, 7366, 540, 5195, 1524, 18182, 1354, 1373, 18233, 1394, 593, 547, 2244, 563, 300, 3430, 1744, 731, 869, 267, 2212, 540, 519, 645, 1872, 5158, 5521, 17493, 267, 5143, 634, 18763, 519, 1382, 12006, 519, 8594, 602, 519, 17160, 538, 519, 7013, 4789, 1223, 948, 3262, 5906, 2326, 563, 28490, 519, 6360, 4248, 941, 547, 581, 13572, 609, 13851, 610, 824, 6757, 4853, 6464, 1287, 972, 1223, 581, 606, 11613, 14042, 1604, 10071, 2223, 646, 1767, 563, 295, 756, 1716, 908, 536, 18443, 32048, 267, 2666, 22404, 543, 30746, 616, 849, 693, 1981, 540, 968, 323, 3539, 693, 7494, 11506, 3928, 10876, 538, 519, 5177, 892, 1317, 519, 17160, 543, 5230, 11811, 616, 546, 20621, 873, 543, 7679, 1359, 609, 741, 30489, 566, 267, 19230, 6004, 1744, 731, 869, 269, 7377, 2827, 540, 3618, 19095, 267, 25658, 543, 22404, 2059, 519, 774, 1868, 786, 581, 968, 20657, 13846, 5608, 646, 3773, 563, 295, 8354, 327, 9233, 267, 3983, 7970, 267, 2019, 525, 543, 824, 7068, 616, 896, 3463, 454, 763, 7771, 538, 3618, 19095, 1223, 581, 3226, 16609, 585, 519, 1426, 5832, 267, 4227, 519, 1426, 3761, 585, 5017, 971, 607, 5152, 4278, 16640, 543, 3109, 18346, 538, 519, 5614, 543, 4832, 563, 11854, 2886, 538, 2127, 602, 616, 4749, 27876, 3335, 7985, 1447, 1317, 789, 723, 9862, 547, 519, 6632, 1107, 855, 1082, 7363, 1216, 15033, 2831, 1223, 849, 581, 7166, 952, 519, 17160, 4163, 593, 585, 1454, 3476, 267, 2687, 547, 6004, 1744, 731, 869, 269, 901, 568, 1317, 1310, 4374, 896, 1216, 267, 2371, 1376, 547, 31693, 543, 267, 609, 5135, 538, 2110, 3761, 267, 2285, 1055, 1100, 343, 1190, 7250, 20962, 728, 32669, 563, 763, 17160, 616, 849, 8744, 2417, 3765, 2044, 547, 1079, 11864, 602, 616, 2907, 7092, 1713, 2551, 23229, 1107, 519, 21963, 32120, 267, 4171, 2338, 723, 6385, 21022, 538, 2487, 1296, 267, 538, 851, 1317, 540, 7226, 2530, 267, 543, 519, 3983, 3455, 267, 799, 814, 1044, 519, 1641, 540, 4693, 524, 1638, 338, 538, 519, 6360, 3620, 527, 17521, 540, 3794, 537, 806, 1562, 10921, 543, 590, 12002, 564, 563, 2108, 295, 8354, 327, 9233, 616, 2907, 18460, 513, 3084, 7771, 543, 519, 17160, 1175, 2322, 3063, 2604, 593, 873, 269, 28791, 789, 1205, 547, 2127, 540, 1164, 2666, 789, 786, 546, 3497, 2223, 1767, 606, 681, 9915, 289, 22557, 2006, 267, 4946, 602, 18253, 267, 695, 4319, 338, 267, 2361, 2019, 525, 543, 3574, 8983, 941, 849, 693, 1981, 563, 15812, 13643, 267, 513, 17022, 543, 10324, 8689, 540, 519, 3662, 4027, 1895, 519, 9966, 2033, 5980, 4139, 268, 20084, 267, 1767, 281, 968, 289, 611, 7970, 786, 581, 4299, 676, 519, 17160, 607, 1034, 2666, 1673, 16946, 2831, 786, 581, 269, 901, 2501, 593, 519, 1394, 540, 519, 19717, 2907, 3361, 676, 519, 524, 1638, 532, 563, 17606, 949, 581, 930, 942, 1354, 649, 723, 1022, 1483, 2856, 540, 519, 1764, 540, 519, 14700, 593, 7320, 5095, 855, 621, 1223, 581, 3978, 2223, 646, 1767, 563, 11693, 519, 2693, 1764, 540, 519, 14700, 593, 519, 3983, 3455, 5095, 519, 6554, 1058, 10243, 513, 1360, 2143, 5619, 540, 741, 2338, 1354, 14045, 2436, 547, 8399, 609, 519, 524, 1638, 267, 6004, 13643, 1767, 563, 312, 16518, 267, 811, 982, 476, 4335, 19726, 540, 11935, 18233, 1524, 676, 6360, 31662, 729, 15504, 689, 519, 5211, 590, 1197, 333, 563, 5353, 3164, 6360, 21855, 7283, 538, 1747, 2059, 519, 5211, 774, 1868, 543, 538, 590, 12002, 564, 1141, 1216, 2157, 3136, 547, 4473, 563, 8310, 3781, 267, 811, 4764, 729, 9472, 585, 2663, 538, 519, 3018, 4352, 621, 568, 711, 4397, 547, 3914, 519, 2157, 2938, 936, 519, 2250, 1906, 4374, 563, 268, 476, 272, 12624, 10480, 1200, 8250, 11746, 19095, 547, 1118, 1200, 2960, 5500, 585, 5898, 2985, 656, 454, 268, 476, 273, 9400, 29861, 9469, 593, 9002, 609, 13560, 15540, 281, 1412, 6781, 677, 621, 543, 2119, 1586, 1107, 621, 1131, 581, 1799, 7394, 547, 3142, 621, 883, 519, 1158, 7055, 268, 476, 274, 32423, 20066, 1985, 9614, 5767, 281, 20066, 2015, 1325, 569, 5062, 10870, 626, 910, 12327, 12710, 4785, 25893, 454, 268, 476, 275, 9338, 306, 4672, 19943, 4161, 1071, 1922, 10133, 11759, 344, 26186, 514, 546, 992, 985, 267, 9907, 476, 2767, 454, 268, 476, 276, 7033, 15593, 6229, 6241, 281, 1412, 2005, 3323, 607, 513, 1614, 268, 1817, 572, 5198, 855, 5828, 883, 519, 9835, 2817, 7055, 262, 2704, 1329, 25427, 5642, 262, 593, 9370, 281, 19196, 924, 618, 689, 9813, 21962, 693, 1412, 5271, 2064, 262, 540, 31373, 14111, 1272, 454, 26156, 26405, 547, 6443, 4229, 609, 2667, 611, 538, 3068, 540, 9099, 3557, 454, 303, 600, 11253, 18722, 7947, 338, 4672, 19943, 4161, 1317, 540, 9338, 306, 6901, 593, 2831, 281, 1412, 300, 823, 1185, 9475, 1743, 2683, 883, 741, 15693, 338, 7055, 22832, 674, 1961, 344, 1412, 2041, 20243, 9166, 1772, 529, 3381, 2982, 17740, 656, 609, 3703, 20020, 1412, 1410, 31146, 2475, 19784, 262, 1107, 607, 6968, 5956, 585, 20740, 454, 28940, 4672, 19943, 4161, 1071, 1922, 10133, 11759, 344, 26186, 514, 546, 992, 985, 267, 9907, 476, 2767, 454, 32178, 29861, 9469, 593, 9002, 609, 13560, 15540, 281, 1412, 6781, 677, 621, 543, 2119, 1586, 1107, 621, 1131, 581, 1799, 7394, 547, 3142, 621, 883, 519, 1158, 7055, 9928, 2714, 880, 7115, 281, 2296, 1004, 11566, 569, 1616, 10430, 547, 3251, 538, 519, 5177, 454, 3674, 529, 3463, 281, 23759, 517, 6499, 606, 19710, 609, 9459, 454, 28061, 9466, 15246, 281, 24755, 657, 11199, 14186, 593, 519, 10754, 540, 674, 31867, 517, 1310, 1313, 641, 1910, 2982, 21717, 729, 8929, 3670, 2053, 1107, 7466, 538, 519, 2212, 454, 289, 514, 9126, 2407, 540, 7314, 262, 9843, 4362, 2282, 25480, 781, 4354, 787, 631, 850, 454, 11514, 326, 755, 532, 267, 24858, 267, 855, 10578, 281, 875, 519, 2197, 2731, 7959, 827, 922, 14761, 454, 28462, 1220, 876, 910, 11278, 17734, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 6796, 30325, 8890, 560, 268, 630, 5327, 330, 9008, 2672, 2483, 28462, 7742, 876, 910, 11278, 12573, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 6796, 30325, 8890, 560, 910, 630, 30874, 4144, 2483, 28462, 4968, 876, 910, 11278, 4335, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 28133, 10829, 8890, 560, 910, 595, 10030, 267, 30205, 2483, 28462, 4968, 876, 910, 11278, 4335, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 28133, 10829, 8890, 560, 630, 300, 22389, 2274, 320, 1862, 0, 300, 573, 5174, 809, 4530, 910, 10434, 454, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 7316, 616, 782, 540, 519, 3197, 538, 519, 6679, 540, 713, 6429, 888, 273, 269, 1548, 568, 835, 2009, 6249, 538, 713, 6429, 888, 274, 269, 1215, 1281, 28199, 1745, 827, 519, 2009, 3643, 888, 275, 269, 1548, 568, 519, 2078, 1063, 28199, 543, 519, 1268, 646, 568, 2921, 609, 1864, 547, 3798, 543, 19846, 331, 781, 888, 276, 269, 1548, 1281, 19846, 331, 1616, 888, 14112, 4828, 5999, 454, 272, 269, 6168, 1018, 568, 3798, 2542, 543, 1018, 568, 6644, 540, 519, 1641, 888, 273, 269, 14674, 875, 19846, 331, 568, 4743, 269, 1684, 596, 1589, 1352, 814, 519, 1318, 547, 1745, 713, 1259, 888, 274, 269, 4208, 568, 19846, 331, 5018, 538, 3798, 781, 6049, 6643, 609, 28199, 888, 275, 269, 5808, 568, 11427, 269, 23894, 4752, 543, 4766, 1200, 3355, 24221, 1282, 1200, 3643, 547, 28199, 563, 276, 269, 1548, 798, 28199, 543, 21142, 6430, 827, 741, 2078, 888, 277, 269, 4208, 798, 596, 1589, 3798, 1234, 1170, 1202, 1235, 602, 646, 7389, 2021, 607, 1134, 607, 2367, 888, 278, 269, 14674, 3798, 543, 6424, 781, 5872, 593, 519, 6288, 14541, 563, 279, 269, 2060, 7247, 568, 3798, 6340, 543, 1018, 568, 519, 1543, 540, 519, 6643, 888, 280, 269, 16294, 519, 2165, 834, 325, 1872, 826, 2437, 543, 875, 621, 568, 10858, 538, 713, 6429, 563, 1015, 269, 4208, 1281, 3798, 1589, 19846, 331, 568, 13631, 547, 14447, 2367, 888, 13625, 13445, 476, 272, 454, 1103, 519, 834, 763, 4139, 2289, 281, 26657, 476, 275, 2437, 28199, 2505, 757, 538, 513, 14447, 3046, 269, 9181, 519, 1739, 2093, 538, 513, 1134, 31465, 1557, 1210, 1808, 1806, 1312, 689, 519, 1257, 543, 1022, 1382, 596, 2347, 912, 272, 269, 1684, 596, 1589, 513, 3046, 568, 513, 1434, 1259, 547, 2743, 513, 17053, 24158, 267, 581, 621, 28305, 610, 10636, 18400, 888, 273, 269, 4208, 798, 596, 1589, 1082, 2582, 1004, 3442, 547, 7928, 13063, 607, 513, 1747, 547, 2743, 2576, 888, 274, 269, 1548, 1909, 798, 596, 1589, 4568, 543, 5924, 824, 16351, 5061, 1404, 538, 519, 3046, 6429, 888, 275, 269, 1548, 616, 930, 4244, 2081, 270, 17541, 547, 2743, 513, 17053, 24158, 888, 13625, 13445, 476, 273, 454, 1103, 519, 2034, 834, 293, 1872, 826, 538, 513, 12502, 2044, 267, 853, 4958, 1729, 2437, 3798, 6822, 340, 806, 21142, 538, 519, 28561, 5103, 1373, 538, 513, 27581, 1395, 690, 13904, 2078, 609, 19846, 331, 269, 9181, 519, 1739, 2093, 538, 513, 1134, 31465, 1557, 1210, 1808, 1806, 1312, 689, 519, 1257, 543, 1022, 1382, 596, 2347, 912, 272, 269, 4208, 798, 596, 1589, 3798, 568, 865, 13631, 547, 21142, 888, 273, 269, 1684 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15008, 281, 3816, 8221, 16290, 2011, 6971, 8458, 540, 29606, 6633, 269, 589, 9395, 13021, 8952, 856, 7509, 543, 17694, 1247, 7303, 3444, 9762, 8727, 1851, 1114, 2010, 540, 1426, 780, 1262, 3721, 476, 276, 281, 9255, 29597, 619, 538, 519, 5131, 10045, 12533, 7659, 17785, 281, 19024, 519, 11149, 6366, 593, 513, 1377, 15808, 563, 28223, 281, 3680, 10518, 532, 2394, 519, 9115, 616, 4625, 13792, 563, 15008, 281, 20233, 1359, 519, 11149, 23276, 2636, 585, 811, 3608, 946, 540, 29606, 2230, 543, 11250, 909, 519, 16171, 1184, 1813, 547, 3152, 2627, 1858, 4598, 780, 1262, 3721, 476, 277, 281, 27016, 19402, 5253, 1772, 31530, 7999, 20348, 12533, 7659, 17785, 281, 6744, 1310, 476, 272, 268, 273, 3108, 4470, 593, 519, 4320, 543, 1826, 540, 1426, 563, 28223, 281, 774, 27903, 21100, 949, 1491, 1447, 942, 6466, 23198, 11912, 1522, 991, 3476, 563, 15008, 281, 4495, 519, 1426, 7959, 2182, 2429, 267, 621, 6920, 3811, 840, 6954, 4506, 269, 2311, 713, 3942, 267, 22151, 519, 1426, 547, 4859, 11435, 3587, 1454, 4443, 780, 1262, 3721, 476, 278, 281, 18734, 2776, 6363, 549, 7999, 5253, 1677, 645, 4711, 12533, 7659, 17785, 281, 7994, 29606, 11435, 4481, 2966, 585, 1279, 3856, 4859, 563, 28223, 281, 17179, 607, 1454, 2011, 607, 2009, 689, 519, 9126, 1354, 27575, 563, 15008, 281, 5794, 3330, 519, 9126, 666, 1291, 547, 29606, 6633, 543, 18024, 540, 519, 1426, 936, 942, 269, 7981, 1242, 29606, 11435, 2709, 1732, 13471, 543, 15006, 3379, 547, 2834, 5068, 11435, 780, 1262, 3721, 476, 279, 281, 22443, 543, 11261, 519, 645, 4711, 12533, 7659, 17785, 281, 3503, 5693, 609, 513, 8628, 15262, 563, 28223, 281, 3417, 519, 2012, 540, 519, 6221, 543, 4266, 540, 16171, 563, 15008, 281, 7743, 21458, 2306, 7114, 543, 12180, 6740, 1426, 12863, 269, 18833, 519, 3169, 4266, 540, 16171, 2337, 4383, 10047, 543, 5849, 6165, 540, 4587, 3688, 1101, 780, 1262, 3721, 476, 280, 281, 15188, 645, 4711, 538, 519, 5131, 10045, 12533, 7659, 17785, 281, 5029, 1125, 11435, 538, 513, 6073, 602, 18252, 2139, 2230, 7561, 563, 28223, 281, 6333, 23454, 2147, 3688, 1927, 543, 25786, 873, 19794, 547, 1294, 3388, 693, 2899, 563, 15008, 281, 1323, 6896, 29606, 711, 1152, 12366, 3278, 4859, 4390, 855, 849, 29776, 23023, 543, 11891, 2359, 780, 3528, 1739, 891, 3268, 267, 596, 786, 6707, 840, 6954, 2763, 707, 1426, 585, 10375, 9126, 4859, 267, 4180, 6099, 2298, 543, 15325, 540, 707, 12873, 6980, 269, 8414, 16171, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7093, 5131, 2763, 16639, 585, 20045, 19554, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 8702, 547, 938, 1576, 1770, 782, 827, 875, 2029, 666, 948, 1118, 8027, 811, 10097, 543, 4264, 256, 1411, 1522, 581, 11842, 1018, 649, 1611, 676, 834, 3530, 27522, 257, 543, 834, 338, 20980, 257, 8027, 269, 32285, 8027, 1797, 602, 1004, 666, 6488, 547, 4444, 610, 10519, 513, 1753, 1510, 7836, 1932, 1454, 540, 741, 4747, 593, 8027, 3790, 269, 12655, 8027, 1797, 2679, 5321, 538, 2081, 602, 616, 13476, 7874, 543, 2569, 2942, 5222, 593, 519, 4541, 780, 3086, 267, 1577, 781, 2911, 827, 22944, 267, 799, 6763, 585, 22127, 6176, 7010, 269, 589, 22944, 568, 513, 1907, 602, 2337, 721, 5659, 1239, 1644, 547, 4087, 269, 1280, 1383, 267, 649, 666, 946, 513, 22944, 547, 1294, 1141, 972, 616, 2127, 609, 1164, 6710, 3928, 543, 849, 1164, 8027, 5777, 269, 901, 1344, 666, 1287, 581, 1031, 547, 2697, 6753, 1141, 10097, 8027, 7835, 1131, 581, 1034, 5363, 780, 5331, 596, 616, 851, 540, 513, 2319, 540, 10927, 1053, 945, 1616, 547, 1628, 606, 10097, 8027, 1646, 538, 707, 2749, 269, 3689, 267, 596, 1131, 991, 547, 1265, 513, 5078, 4062, 540, 2244, 269, 4635, 513, 22944, 267, 596, 666, 1413, 693, 1114, 2188, 899, 6283, 1569, 267, 16133, 547, 3506, 543, 11614, 267, 543, 1990, 11238, 6042, 269, 2098, 11238, 6042, 3313, 1018, 2010, 540, 5656, 666, 581, 3710, 538, 1978, 2127, 269, 1635, 1210, 513, 22944, 267, 596, 666, 1265, 513, 4729, 540, 2244, 602, 10742, 782, 540, 891, 7355, 543, 568, 4092, 538, 606, 1858, 1141, 10097, 8027, 568, 2877, 1034, 780, 5629, 596, 723, 4857, 513, 1761, 3135, 585, 707, 10097, 8027, 1646, 267, 596, 666, 946, 513, 22944, 547, 1374, 519, 11768, 540, 519, 2146, 269, 1280, 1383, 267, 596, 949, 1616, 547, 1331, 3039, 5624, 267, 6972, 10092, 267, 543, 11332, 28961, 547, 3895, 2635, 2713, 543, 6175, 1286, 6165, 269, 589, 22944, 666, 948, 596, 14650, 891, 2934, 543, 1544, 519, 1655, 13307, 585, 873, 1369, 519, 1646, 780, 3719, 1946, 1281, 10097, 8027, 2339, 286, 4270, 267, 950, 1004, 6108, 1447, 2724, 593, 8027, 267, 789, 723, 811, 2724, 2139, 585, 824, 1271, 1919, 899, 1426, 267, 3782, 267, 543, 2069, 269, 3958, 267, 2870, 10097, 8027, 7835, 666, 1291, 547, 26016, 1436, 540, 16973, 267, 2799, 3959, 2418, 267, 543, 4389, 6760, 3928, 269, 1924, 267, 607, 596, 666, 1294, 267, 4466, 3435, 585, 10097, 8027, 666, 723, 1082, 2318, 2360, 593, 1312, 2043, 543, 2950, 780, 2414, 2040, 909, 267, 22944, 2645, 666, 1404, 513, 2629, 1909, 538, 7114, 6753, 585, 10097, 8027, 7835, 543, 8888, 1346, 2950, 547, 2743, 519, 2115, 540, 7264, 1247, 10893, 2825, 1764, 269, 1306, 2104, 3401, 543, 3375, 15670, 267, 1620, 875, 2029, 899, 22944, 666, 581, 4294, 547, 1483, 8996, 2152, 568, 1898, 585, 1818, 5483, 5079, 827, 519, 4025, 649, 2661, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2171, 5873, 513, 2603, 540, 798, 558, 7146, 3766, 5979, 558, 827, 519, 2104, 563, 763, 1158, 786, 581, 1932, 3905, 267, 1932, 22125, 269, 1703, 786, 581, 1932, 1906, 2200, 543, 811, 6735, 585, 873, 563, 2171, 4280, 2160, 540, 7147, 693, 21388, 3173, 585, 519, 6587, 2443, 519, 2093, 267, 4066, 267, 4507, 610, 10659, 602, 786, 1118, 621, 2009, 585, 519, 1158, 547, 581, 513, 1732, 1747, 538, 519, 2104, 563, 1103, 713, 2034, 3888, 618, 540, 968, 763, 8262, 7726, 892, 3126, 267, 15339, 7905, 24697, 18703, 20781, 547, 519, 2243, 968, 1432, 538, 707, 2361, 1223, 1118, 519, 1158, 513, 1732, 1747, 18313, 306, 15036, 602, 1522, 581, 15763, 538, 5355, 519, 1158, 568, 10097, 8027, 563, 7197, 540, 721, 4043, 547, 1589, 602, 10097, 8027, 568, 606, 31719, 2556, 855, 10002, 8793, 5092, 269, 1323, 15834, 1895, 540, 29031, 10927, 1053, 723, 267, 2705, 267, 7152, 602, 5321, 666, 581, 10097, 267, 12581, 543, 3565, 547, 5870, 519, 4975, 540, 21388, 779, 10728, 8693, 10466, 4643, 563, 24836, 9958, 1053, 689, 6189, 267, 1870, 267, 1876, 267, 4058, 543, 1857, 3609, 19801, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 7464, 24529, 1315, 4937, 1315, 22127, 6176, 7010, 630, 31043, 264, 538, 7464, 24529, 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, 7170, 281, 589, 26726, 26155, 543, 606, 17023, 7402, 3300, 693, 17638, 781, 8836, 8092, 12201, 692, 288, 7008, 540, 1296, 3516, 267, 594, 4956, 547, 2263, 930, 14758, 8153, 2686, 21056, 538, 17638, 269, 1306, 606, 6575, 543, 2528, 27423, 267, 594, 729, 11235, 547, 3605, 1007, 4025, 3564, 519, 8912, 15805, 9634, 269, 3371, 781, 1250, 3460, 998, 1346, 6456, 21889, 543, 606, 27644, 7237, 602, 1869, 3762, 803, 4633, 1652, 8164, 594, 1589, 827, 621, 780, 296, 3323, 609, 519, 2878, 9617, 823, 1299, 17318, 7467, 1262, 269, 898, 729, 1312, 9159, 543, 669, 3739, 547, 5490, 883, 17638, 781, 7803, 2250, 1369, 1346, 2025, 5480, 3336, 6821, 4904, 609, 544, 1872, 15833, 543, 9604, 1476, 4593, 730, 936, 513, 2540, 3516, 269, 8528, 9202, 593, 1250, 1592, 729, 519, 2878, 19669, 31594, 20155, 1262, 267, 799, 3576, 1250, 7362, 2476, 269, 4256, 4015, 540, 4207, 4457, 1148, 729, 3309, 267, 2219, 4538, 267, 543, 18991, 26940, 269, 3962, 4062, 5143, 513, 3532, 1650, 602, 10489, 2105, 1893, 7496, 780, 4263, 519, 2878, 300, 5237, 540, 12634, 3203, 5245, 1262, 267, 594, 13984, 513, 2911, 676, 513, 2199, 7376, 4171, 960, 8268, 2790, 1072, 2152, 269, 4173, 6151, 19969, 6410, 3025, 538, 519, 5304, 267, 1818, 621, 811, 982, 1175, 513, 2686, 3643, 855, 849, 513, 7184, 1480, 4276, 780, 4504, 29098, 676, 1686, 267, 594, 5887, 3293, 883, 2878, 763, 32520, 20570, 7467, 1262, 269, 4804, 827, 16971, 1272, 1354, 3864, 17091, 5795, 803, 979, 846, 321, 7927, 269, 901, 6263, 9754, 14095, 971, 513, 24362, 282, 621, 1500, 803, 5660, 938, 18371, 2749, 1256, 811, 780, 10190, 3357, 2878, 763, 2961, 5846, 4103, 1262, 269, 4706, 4853, 19259, 13745, 609, 1285, 656, 3766, 31938, 19698, 2813, 606, 18546, 4328, 5790, 269, 3245, 972, 267, 594, 18188, 2509, 1018, 8604, 899, 1776, 8723, 8265, 950, 13718, 2080, 2501, 519, 6335, 256, 1306, 594, 15336, 1524, 713, 9602, 26738, 267, 4503, 538, 4555, 1310, 1250, 7499, 9035, 267, 594, 8068, 513, 1507, 15624, 11018, 1472, 1945, 269, 4354, 6685, 533, 31985, 267, 594, 4682, 6251, 1152, 547, 1265, 856, 789, 941, 8384, 513, 2661, 2773, 8345, 1318, 972, 593, 519, 8265, 2439, 2005, 5828, 856, 547, 581, 851, 540, 1412, 19061, 2473, 3299, 606, 5993, 2680, 1141, 5159, 1491, 936, 5667, 639, 1051, 532, 1857, 5624, 2066, 17638, 269, 2334, 1554, 267, 594, 14754, 25249, 30780, 3001, 896, 8265, 7547, 10483, 676, 20807, 5944, 4190, 2575, 269, 898, 729, 30642, 267, 21245, 267, 543, 11613, 9589, 2439, 1607, 4960, 6602, 20206, 4327, 3388, 594, 2648, 827, 3695, 2686, 21056, 1107, 9983, 267, 6667, 267, 1565, 267, 543, 6209, 4296, 269, 1924, 952, 596, 2811, 4058, 707, 1985, 7552, 547, 17638, 267, 1810, 1405, 4413, 891, 8748, 4025, 543, 1832, 707, 4064, 1930, 585, 6397, 16782, 7996, 547, 581, 4362, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 930, 14758, 8153, 2686, 21056, 538, 17638, 602, 616, 4502, 9683, 888, 272, 269, 10456, 1299, 17318, 7467, 910, 4092, 538, 513, 8978, 2679, 602, 1031, 547, 581, 513, 7128, 6728, 543, 1330, 628, 1787, 267, 713, 9754, 20502, 519, 1686, 540, 6760, 543, 5126, 538, 17638, 780, 273, 269, 6519, 31594, 20155, 910, 835, 540, 519, 1158, 781, 4102, 10070, 540, 4207, 4457, 1148, 267, 713, 19922, 20502, 519, 960, 540, 6932, 543, 3964, 5159, 689, 3624, 780, 274, 269, 7467, 540, 12634, 3203, 5245, 910, 4352, 711, 4010, 14758, 8153, 267, 519, 7467, 540, 12634, 3203, 3091, 513, 2189, 2686, 1995, 609, 922, 2479, 19145, 24218, 543, 2621, 780, 275, 269, 634, 32520, 20570, 7467, 910, 4092, 538, 17638, 781, 8978, 32520, 8664, 267, 713, 9754, 3091, 513, 4241, 5813, 883, 519, 1686, 543, 1646, 540, 519, 1858, 267, 6580, 1394, 547, 840, 26049, 11175, 780, 276, 269, 634, 2961, 5846, 4103, 910, 24428, 538, 513, 5449, 16749, 13186, 267, 713, 4207, 3818, 268, 11301, 8998, 568, 1634, 585, 922, 5969, 12967, 24218, 267, 12644, 543, 2621, 780, 277, 269, 634, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 8702, 547, 938, 1837, 1770, 593, 1239, 14839, 1210, 5124, 256, 769, 713, 1770, 267, 649, 786, 2263, 875, 547, 1711, 13602, 543, 12125, 547, 948, 721, 1174, 543, 5659, 1239, 269, 1284, 786, 581, 1210, 513, 3532, 5399, 1572, 2387, 3901, 15003, 319, 547, 1711, 938, 13602, 267, 543, 1776, 5399, 1572, 2387, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1052, 618, 892, 543, 606, 1799, 617, 652, 7287, 547, 723, 513, 18560, 269, 5259, 10629, 8895, 523, 1572, 621, 968, 17458, 710, 535, 1722, 5608, 9663, 528, 14685, 19434, 563, 288, 577, 14792, 543, 5696, 1047, 529, 454, 22977, 545, 519, 594, 2993, 611, 3947, 721, 6157, 835, 540, 938, 9998, 17005, 7215, 540, 10636, 18400, 2648, 282, 621, 2501, 1524, 689, 513, 2707, 602, 568, 2864, 9670, 689, 6370, 3620, 731, 2989, 267, 25264, 545, 2112, 5869, 267, 13672, 5256, 31456, 563, 288, 577, 14792, 796, 30726, 12264, 31273, 741, 2295, 593, 741, 19492, 557, 607, 646, 8761, 3274, 875, 1454, 646, 14560, 5696, 1047, 529, 538, 3883, 476, 280, 2404, 609, 519, 594, 2993, 611, 267, 7234, 1200, 607, 1498, 1352, 1185, 1044, 741, 23947, 269, 634, 8748, 543, 10995, 5696, 1047, 529, 1101, 4810, 31456, 950, 646, 678, 3578, 8393, 1793, 4381, 1229, 1200, 546, 23098, 267, 3158, 267, 1614, 14552, 543, 23947, 1282, 589, 19967, 14213, 593, 31684, 267, 1991, 547, 2921, 1200, 607, 2112, 18849, 344, 269, 31456, 10032, 5696, 1047, 529, 685, 1920, 4061, 1864, 547, 1445, 593, 602, 1352, 729, 19039, 569, 581, 516, 1111, 543, 1185, 1152, 563, 2414, 31456, 621, 11613, 729, 3274, 519, 1318, 543, 3364, 602, 568, 22510, 798, 538, 1931, 547, 2648, 519, 14799, 1107, 606, 10182, 267, 540, 1982, 267, 602, 786, 616, 693, 8458, 609, 513, 1906, 540, 713, 5256, 2344, 3755, 540, 25264, 779, 12473, 936, 942, 563, 307, 578, 1841, 519, 3504, 16380, 15958, 7875, 566, 1185, 1044, 606, 8723, 543, 8902, 10682, 585, 824, 15982, 5418, 9778, 1107, 513, 13561, 2048, 338, 23245, 11896, 685, 1996, 16160, 17140, 602, 568, 4638, 269, 901, 1522, 2491, 1175, 1946, 972, 616, 4061, 1906, 7840, 547, 621, 883, 519, 5339, 1568, 281, 621, 11613, 729, 1455, 2866, 543, 1705, 711, 20519, 1454, 3007, 269, 16480, 267, 713, 1223, 723, 2907, 1044, 2808, 267, 15597, 693, 519, 2547, 267, 547, 1599, 607, 2149, 540, 10437, 267, 561, 684, 18267, 607, 1134, 607, 824, 2043, 9833, 607, 4389, 2059, 519, 1514, 890, 9535, 6718, 269, 4432, 924, 21169, 1223, 723, 9833, 621, 267, 12777, 267, 607, 1373, 513, 3653, 540, 519, 942, 543, 5033, 523, 267, 607, 621, 8694, 909, 1373, 835, 540, 1082, 6305, 2686, 11645, 540, 713, 5259, 5256, 547, 948, 519, 19882, 1920, 2818, 1899, 543, 4228, 519, 522, 1731, 657, 267, 707, 1920, 563, 3080, 2165, 585, 15958, 7875, 566, 538, 3504, 10255, 8694, 909, 1373, 606, 7469, 5055, 334, 267, 513, 8231, 602, 13371, 31075, 14163, 2684, 6951, 9011, 1645, 569, 8246, 547, 11963, 621, 856, 519, 1975, 691, 753, 267, 7247, 941, 968, 342, 1678, 619, 5608, 538, 519, 18792, 700, 903, 626, 337, 1092, 269, 634, 5259, 602, 568, 4956, 569, 9642, 14544, 519, 595, 2106, 545, 22991, 15958, 7875, 730, 538, 1857, 2127, 543, 29846, 1010, 3527, 676, 6031, 968, 2252, 1152, 621, 1185, 1044, 607, 2241, 547, 536, 4314, 14000, 676, 27012, 1250, 17987, 6100, 21452, 267, 4144, 4094, 525, 13631, 18594, 675, 711, 1152, 585, 15958, 7875, 908, 538, 1857, 4025, 855, 538, 1840, 585, 10438, 1369, 519, 989, 7702, 1107, 10834, 7654, 602, 15958, 7875, 908, 538, 513, 2489, 1857, 5544, 8694, 909, 1373, 2219, 4179, 2517, 21166, 19195, 1532, 20183, 14492, 270, 724, 3570, 1532, 337, 1938, 270, 2582, 575, 327, 3570, 2021, 547, 581, 1100, 3476, 4049, 513, 6760, 982, 10438, 538, 513, 1857, 10278, 563, 8448, 3504, 3540, 31907, 9976, 15958, 7875, 566, 1932, 269, 1280, 3236, 267, 513, 10036, 19562, 710, 585, 519, 476, 275, 628, 26992, 7460, 689, 5689, 3279, 2982, 513, 14799, 15958, 7875, 908, 269, 769, 3504, 5681, 518, 519, 1101, 3504, 10340, 602, 568, 4683, 519, 8978, 1858, 540, 7013, 27859, 267, 2413, 6377, 7013, 12925, 15958, 7875, 566, 1107, 2901, 22072, 610, 2348, 513, 7649, 1107, 1185, 1044, 2808, 547, 3986, 4222, 269, 769, 3504, 5527, 15958, 7875, 566, 602, 568, 5256, 5340, 676, 1259, 540, 513, 5601, 8694, 909, 1373, 2808, 606, 5499, 610, 9589, 960, 281, 2311, 636, 1185, 1044, 5156, 547, 723, 2919, 519, 7122, 676, 15958, 7875, 908, 267, 543, 849, 519, 552, 6277, 543, 3350, 585, 519, 20407, 8694, 909, 1373, 1644, 547, 519, 2834, 640, 540, 741, 552, 329, 659, 2827, 269, 12266, 31279, 338, 1185, 1044, 2556, 547, 15958, 7875, 622, 9968, 6053, 538, 547, 519, 20407, 563, 292, 742, 655, 514, 2329, 543, 3444, 1673, 7675, 454, 292, 742, 655, 514, 2329, 538, 16921, 8694, 909, 1373, 2808, 3564, 519, 12779, 1107, 16948, 943, 639, 514, 610, 968, 719, 2515, 2470, 6100, 898, 22466, 1780, 2032, 543, 7789, 4369, 267, 3134, 603, 2541, 514, 533, 2444, 515, 514, 1107, 1312, 12755, 14669, 547, 707, 1697, 2932, 602, 568, 4638, 540, 5259, 5256, 7247, 1058, 2731, 581, 2205, 850, 267, 9030, 267, 11579, 7992, 543, 19876, 532, 563, 15899, 1673, 7675, 1185, 930, 27314, 15156, 269, 634, 13672, 2173, 1446, 602, 568, 24123, 267, 538, 13076, 609, 519, 4936, 10564, 29191, 573, 267, 18656, 3022, 538, 513, 536, 719, 540, 3444, 1673, 7675, 609, 15345, 874, 1446, 15596, 540, 10370, 29953, 547, 945, 4173, 6047, 1185, 1044, 20665, 4173, 6047, 5116, 593, 15345, 874, 1446, 779, 9660, 543, 15345, 874, 1446, 21039, 909, 538, 3335, 670, 2075, 2544, 534, 17794, 2960, 543, 649, 531, 4765, 741, 8630, 267, 602, 729, 12572, 540, 812, 3125, 543, 1648, 269, 5080, 29418, 267, 7654, 267, 968, 331, 542, 13463, 14975, 892, 31456, 1932, 1185, 711, 1044, 513, 2091, 547, 606, 1858, 540, 19703, 538, 2021, 779, 23157, 267, 952, 621, 6740, 1864, 998, 519, 1289, 5346, 950, 621, 2501, 547, 18858, 13568, 2112, 563, 303, 12065, 334, 5025, 335, 3326, 617, 11501, 267, 1369, 519, 24157, 6139, 8619, 513, 735, 754, 1756, 540, 5259, 4683, 14868, 543, 24123, 17691, 267, 347, 5586, 1742, 602, 568, 24123, 28279, 721, 602, 547, 3274, 948, 1200, 5067, 546, 17690, 519, 8908, 634, 26385, 31456, 685, 3158, 6456, 1864, 1282, 519, 5480, 540, 10370, 20411, 525, 267, 4487, 540, 21708, 4592, 269, 2598, 7666, 2213, 1373, 513, 8004, 31456, 5030, 1851, 10370, 20411, 525, 685, 20766, 18284, 519, 15554, 7716, 623, 10455, 337, 3873, 267, 519, 2699, 3620, 8529, 4807, 269, 31456, 986, 6244, 835, 540, 1082, 20766, 267, 1546, 573, 600, 807, 267, 538, 13076, 609, 1200, 3170, 22363, 513, 5067, 267, 3026, 641, 1729, 12661, 639, 563, 302, 323, 903, 22040, 1185, 1044, 5143, 676, 519, 22445, 2836, 577, 553, 602, 519, 16380, 786, 2760, 7001, 31684, 1510, 31456, 685, 1489, 267, 4061, 646, 4956, 547, 979, 547, 21708, 4592, 11792, 20960, 8172, 607, 1373, 513, 7895, 323, 2401, 2021, 779, 602, 616, 9513, 543, 14446, 676, 2348, 513, 13104, 543, 27490, 9658, 1540, 538, 519, 3649, 637, 269, 31456, 14678, 3576, 909, 519, 27490, 282, 30328, 4718, 998, 741, 24320, 1047, 607, 623, 10455, 337, 3873, 543, 7479, 12184, 1864, 547, 1831, 7396, 593, 519, 5259, 4229, 563, 5194, 4583, 13672, 5256, 267, 25840, 19332, 267, 814, 849, 1044, 3238, 609, 3444, 1673, 7675, 281, 15151, 267, 9907, 476, 736, 267, 646, 5030, 519, 1272, 12732, 540, 513, 14799, 950, 596, 1413, 693, 519, 5480, 540, 3751, 12832, 15701, 525, 10001, 543, 1185, 1044, 2663, 593, 4330, 3297, 741, 2786, 2786, 2786, 1394, 15029, 519, 2048, 4302, 523, 540, 645, 603, 2106, 807, 8730, 543, 968, 22336, 4807, 779, 18560, 543, 1169, 812, 779, 4807, 6100, 2672, 17662, 3780, 4330, 741, 1279, 1922, 2590, 539, 19492, 1407, 543, 1863, 10591, 607, 513, 2370, 9642, 267, 20872, 2829, 2006, 543, 9598, 1807, 590, 1638, 320, 547, 10332, 16764, 3116, 547, 968, 321, 1168, 732, 2404, 609, 4819, 1317, 540, 519, 12966, 892, 602, 568, 10690, 563, 26469, 932, 15009, 531, 949, 581, 519, 21917, 540, 1282, 3023, 9001, 519, 9147, 16380, 281, 11557, 1299, 3023, 538, 9147, 10255, 630, 288, 3088, 2917, 14539, 267, 476, 1001, 277, 1040, 0, 303, 1258, 10586, 540, 670, 532, 539, 454, 10774, 16659, 22688, 526, 393, 350, 390, 496, 323, 32551, 1315, 327, 16659, 22688, 526, 390, 496, 323, 32551, 1315, 327, 318, 16659, 22688, 5332, 5091, 390, 496, 5091, 13045, 26239, 11618, 585, 670, 532, 539, 912, 1598, 2426, 267, 3728, 2989, 267, 5532, 267, 3808, 267, 21207, 1194, 267, 6806, 267, 9919, 7757, 267, 561, 3166, 267, 8142, 539, 267, 5679, 527, 267, 24516, 1540, 267, 1350, 4240, 267, 1990, 5792, 267, 535, 4310, 267, 18135, 5529, 267, 590, 1956, 323, 267, 21969, 4765, 267, 4448, 267, 13773, 539, 267, 3714, 3481, 267, 4858, 1188, 9643, 267, 13745, 267, 5832, 539, 267, 2250, 539, 267, 13615, 267, 588, 17097, 563, 306, 1619, 476, 272, 630, 29825, 994, 289, 16556, 267, 18955, 267, 1284, 8491, 267, 18135, 5529, 267, 588, 17097, 267, 3728, 2989, 267, 24516, 1540, 267, 561, 3166, 267, 1773, 320, 1243, 267, 9919, 7757, 267, 21207, 1194, 267, 5679, 26860, 267, 3808, 267, 700, 14414, 267, 2909, 3660, 267, 694, 14954, 267, 13745, 267, 21969, 4765, 267, 3714, 3481, 267, 12231, 3481, 267, 512, 9220, 1042, 267, 4448, 267, 13773, 539, 267, 4858, 1188, 9643, 267, 13615, 267, 5832, 539, 267, 1350, 4240, 267, 2250, 539, 267, 535, 4310, 267, 21642, 539, 267, 5532, 267, 1990, 5792, 267, 570, 17977, 267, 590, 1956, 323, 267, 694, 1233, 521, 2364, 539, 563, 5825, 720, 1806, 585, 670, 532, 539, 912, 268, 1809, 713, 1590, 723, 1044, 1317, 789, 14460, 2933, 865, 786, 5944, 547, 519, 22906, 540, 519, 19730, 15693, 593, 519, 19772, 540, 513, 2185, 18818, 268, 2540, 1273, 878, 1014, 267, 799, 1185, 519, 16613, 5413, 540, 513, 2539, 10265, 26523, 539, 547, 519, 5580, 269, 910, 834, 19853, 18234, 11205, 3429, 17714, 2580, 5261, 25760, 1215, 20635, 563, 268, 4201, 11703, 3049, 5163, 585, 519, 960, 3349, 568, 3177, 607, 5205, 281, 634, 13409, 14788, 3785, 998, 519, 2661, 2212, 543, 11438, 513, 16463, 268, 4988, 11508, 12210, 799, 11479, 513, 7299, 14788, 5645, 676, 513, 31455, 26523, 539, 547, 519, 2212, 269, 910, 834, 17457, 10724, 4149, 7749, 6657, 267, 5292, 6979, 594, 543, 4083, 2580, 26056, 14986, 563, 268, 3571, 1378, 16994, 4064, 5143, 1864, 519, 4446, 836, 729, 798, 15701, 282, 543, 1022, 4960, 6967, 585, 519, 12284, 26523, 539, 593, 602, 2462, 10131, 7258, 269, 910, 834, 20112, 4934, 540, 9919, 548, 15816, 2580, 589, 2643, 1189, 11977, 667, 17532, 269, 0, 8196, 519, 8292, 4216, 547, 2671, 707, 2093, 563, 18455, 513, 10553, 729, 711, 1434, 1317, 621, 5921, 1296, 540, 2978, 1681, 609, 1100, 2628, 2336, 5591, 30314, 594, 1589, 621, 779, 26648, 1018, 789, 1705, 547, 519, 10437, 2336, 18872, 1686, 3923, 568, 1360, 4277, 269, 5978, 1362, 568, 1565, 827, 8474, 543, 827, 4498, 686, 582, 31793, 2006, 563, 5591, 621, 729, 29695, 1317, 596, 3893, 627, 5792, 543, 596, 21645, 1205, 2628, 539, 1022, 2724, 585, 2324, 7868, 27587, 1152, 2285, 596, 513, 4062, 540, 3694, 543, 930, 1216, 865, 596, 21645, 5182, 557, 563, 2005, 729, 29695, 7012, 1406, 621, 20193, 7012, 1406, 1360, 8799, 2901, 621, 729, 2965, 519, 6587, 563, 2005, 2822, 527, 569, 711, 513, 1434, 3364, 1373, 513, 10553, 1317, 596, 1185, 547, 960, 585, 513, 2576, 945, 1705, 711, 2463, 596, 610, 519, 1318, 596, 941, 13886, 547, 256, 2336, 16908, 729, 711, 1360, 1434, 607, 513, 10553, 14720, 4085, 596, 1705, 660, 1205, 1022, 2924, 547, 798, 4376, 269, 1411, 723, 547, 798, 4376, 602, 707, 4487, 6645, 596, 1018, 547, 798, 563, 324, 789, 3893, 627, 5792, 1317, 789, 4769, 1406, 9096, 972, 960, 269, 5445, 20352, 873, 909, 543, 627, 5792, 873, 563, 5445, 3893, 530, 21317, 513, 2603, 585, 4986, 563, 296, 1589, 711, 1317, 789, 723, 547, 960, 585, 1100, 2724, 543, 789, 849, 1205, 26884, 952, 789, 1810, 1406, 798, 1732, 982, 2063, 942, 267, 534, 1278, 2601, 568, 602, 789, 723, 547, 3207, 899, 521, 731, 1149, 563, 16908, 729, 9090, 711, 1434, 1317, 3043, 1004, 5701, 3109, 1004, 15490, 569, 849, 789, 627, 5792, 873, 2529, 727, 10437, 6836, 547, 9101, 855, 519, 10553, 3032, 7129, 32170, 873, 1524, 1175, 585, 2724, 563, 16908, 607, 513, 10553, 729, 29695, 1004, 1131, 581, 7142, 547, 960, 585, 1100, 2724, 543, 1152, 2370, 1426, 543, 1216, 269, 789, 9327, 1406, 723, 741, 1378, 9660, 610, 1256, 741, 4408, 563, 16908 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2371, 10123, 1685, 1079, 19507, 3327, 8166, 31117, 269, 634, 3327, 8166, 3398, 528, 538, 595, 4456, 2371, 568, 1912, 6664, 14535, 565, 7510, 745, 17771, 1351, 4592, 633, 630, 303, 7968, 264, 1282, 519, 10543, 543, 25906, 21695, 20312, 874, 24043, 568, 519, 3327, 8166, 3398, 528, 1282, 519, 24817, 269, 2368, 2371, 602, 616, 14661, 547, 3819, 2175, 267, 899, 9390, 18508, 543, 12566, 1952, 956, 454, 11902, 17988, 593, 7353, 2803, 17508, 454, 9223, 476, 272, 281, 5903, 519, 2188, 799, 1860, 2584, 2803, 17508, 563, 5472, 519, 2188, 1860, 519, 5135, 848, 11747, 799, 2047, 5540, 519, 2584, 2803, 17508, 454, 9223, 476, 273, 281, 1548, 798, 596, 1611, 676, 519, 2782, 7921, 1198, 888, 302, 339, 1729, 2782, 7921, 4767, 602, 744, 273, 29620, 2584, 2803, 17508, 538, 595, 274, 2371, 543, 713, 7613, 568, 1634, 607, 519, 2782, 7921, 1198, 454, 9223, 476, 274, 281, 7316, 1281, 2584, 2803, 17508, 711, 4755, 538, 519, 2030, 888, 4322, 2371, 1832, 909, 609, 1164, 3844, 1436, 540, 3327, 8166, 538, 519, 3640, 1352, 987, 2281, 543, 1875, 3430, 754, 766, 540, 1989, 3570, 18715, 1100, 12625, 540, 5135, 1813, 547, 2584, 565, 1736, 563, 9223, 476, 275, 281, 16338, 1063, 595, 274, 267, 595, 275, 267, 543, 595, 4456, 12518, 888, 298, 3757, 345, 14169, 12559, 550, 10558, 12559, 550, 19461, 2910, 273, 1234, 1061, 528, 22859, 21990, 623, 7968, 623, 7968, 2910, 273, 281, 21085, 476, 272, 2433, 476, 274, 476, 272, 281, 276, 476, 272, 281, 476, 276, 3689, 7123, 8605, 476, 274, 6261, 16598, 7621, 14900, 659, 564, 622, 7621, 14900, 659, 564, 622, 454, 8923, 8298, 514, 547, 6085, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 3180, 2027, 2495, 585, 519, 7817, 267, 971, 607, 14941, 2719, 267, 15472, 267, 610, 13465, 269, 1635, 2502, 538, 891, 2238, 267, 7218, 666, 1995, 513, 3152, 2631, 540, 10362, 267, 3483, 267, 543, 4276, 780, 3086, 1577, 781, 2015, 875, 594, 310, 303, 1522, 581, 4294, 538, 519, 2126, 540, 595, 12396, 267, 607, 4330, 538, 519, 6679, 1349, 269, 3245, 606, 594, 310, 303, 5133, 267, 595, 12396, 1223, 581, 2938, 607, 513, 23314, 540, 19261, 610, 771, 28947, 538, 1585, 3344, 540, 519, 1367, 781, 1272, 269, 1280, 1383, 267, 789, 949, 723, 1831, 30890, 689, 741, 1560, 781, 6786, 540, 25874, 543, 2566, 267, 3056, 547, 936, 1740, 543, 25794, 269, 1358, 949, 849, 723, 4503, 5905, 609, 741, 2686, 6561, 543, 18577, 7326, 267, 6028, 873, 4743, 9678, 543, 5667, 6269, 9285, 780, 2414, 2232, 891, 2152, 267, 606, 594, 310, 303, 13309, 1522, 960, 609, 519, 7817, 547, 556, 6618, 609, 741, 1560, 998, 2853, 899, 9066, 267, 10649, 267, 610, 7362, 1740, 269, 1358, 1522, 849, 5000, 519, 7817, 547, 4497, 538, 3860, 4082, 267, 971, 607, 1603, 267, 7206, 267, 610, 2575, 267, 607, 513, 1259, 540, 26378, 883, 741, 6418, 7326, 543, 5876, 269, 3958, 267, 519, 13309, 1522, 1489, 519, 7817, 538, 3695, 741, 2686, 4282, 543, 3961, 267, 8220, 873, 609, 2199, 6805, 2950, 610, 5389, 952, 2009, 780, 305, 3770, 543, 16008, 1223, 1404, 513, 1713, 1909, 538, 519, 7067, 1184, 585, 2576, 609, 595, 12396, 269, 1280, 3236, 267, 519, 13309, 1522, 16436, 519, 7817, 547, 7119, 538, 513, 1159, 644, 3101, 16008, 267, 1210, 27041, 610, 824, 10723, 11922, 547, 2973, 572, 741, 1648, 2361, 543, 3895, 7067, 269, 1358, 1522, 849, 2303, 2324, 609, 14848, 610, 10007, 267, 799, 616, 5156, 547, 723, 7067, 3601, 2687, 547, 1978, 6805, 5389, 780, 2026, 519, 7817, 5956, 547, 556, 6618, 609, 741, 1560, 267, 2528, 267, 543, 2146, 267, 789, 949, 1265, 602, 741, 2589, 540, 595, 12396, 2253, 547, 2087, 269, 1717, 267, 621, 781, 1898, 547, 5431, 602, 7067, 568, 1419, 513, 22357, 1184, 267, 6353, 676, 22303, 543, 23484, 7567, 269, 1323, 594, 310, 303, 13309, 1131, 2611, 3461, 543, 17519, 2429, 713, 3460, 267, 5356, 5571, 1489, 543, 5583, 607, 2877, 780, 1103, 3932, 267, 7087, 27067, 31499, 3091, 513, 3532, 4244, 547, 6671, 2911, 11257, 267, 10771, 519, 25872, 540, 782, 1919, 267, 519, 6418, 12115, 518, 267, 543, 519, 2956, 540, 9161, 543, 16008, 269, 4706, 11455, 1935, 2306, 621, 2523, 4143, 585, 2043, 7231, 609, 1950, 2591, 899, 5312, 4576, 267, 8194, 267, 610, 12761, 269, 1635, 6220, 594, 310, 303, 883, 741, 2259, 267, 16293, 666, 1683, 513, 811, 8537, 267, 15520, 6213, 267, 543, 16779, 1106, 540, 1416, 602, 26549, 519, 4763, 543, 6988, 540, 1480, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13828, 1250, 3237, 2097, 689, 513, 5375, 3864, 2197, 267, 855, 609, 1250, 1920, 267, 1317, 540, 1250, 4651, 779, 2816, 267, 649, 6170, 1082, 1296, 13383, 538, 1114, 17407, 267, 2484, 267, 2484, 2476, 689, 1250, 3237, 685, 1753, 2197, 267, 32321, 267, 8739, 324, 1595, 1227, 267, 543, 15520, 269, 1284, 941, 2713, 607, 1163, 27074, 919, 563, 4517, 621, 7140, 856, 602, 594, 729, 22885, 267, 543, 729, 4535, 267, 538, 835, 540, 873, 267, 538, 519, 3905, 5848, 540, 930, 9341, 4234, 6421, 563, 5804, 5312, 2068, 547, 6418, 1582, 7721, 680, 2610, 454, 296, 3357, 1394, 547, 1250, 3237, 685, 1753, 2197, 538, 1250, 2038, 18295, 1296, 269, 1656, 689, 1164, 1153, 267, 594, 3323, 547, 1745, 2038, 2589, 540, 1018, 1131, 581, 513, 5312, 2068, 602, 1131, 20575, 803, 585, 519, 1964, 540, 1250, 1272, 563, 7069, 15210, 6418, 3659, 267, 5312, 9854, 563, 4263, 519, 4098, 267, 594, 4769, 1406, 2731, 14353, 4376, 4636, 267, 621, 3576, 803, 1296, 547, 5555, 1376, 16734, 602, 1250, 2157, 540, 13110, 1145, 941, 1932, 4749, 856, 540, 2343, 269, 1656, 2094, 693, 602, 942, 594, 729, 711, 2921, 5539, 540, 1250, 2115, 267, 594, 4769, 1406, 1491, 6405, 3527, 563, 2005, 568, 1152, 950, 1896, 1296, 3516, 267, 1310, 1007, 12225, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 27067, 31499, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 13336, 1302, 21091, 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, 589, 5080, 21215, 7402, 3300, 693, 5487, 32371, 2784, 320, 12259, 807, 692, 296, 1185, 2141, 5326, 339, 540, 9683, 30209, 267, 2479, 2094, 594, 4718, 5961, 540, 1346, 11599, 3889, 2966, 676, 16653, 328, 717, 7596, 6403, 269, 1924, 950, 1250, 9393, 14281, 803, 609, 606, 16683, 7552, 547, 8050, 2063, 1032, 267, 594, 7948, 1406, 2270, 1250, 10761, 269, 1284, 941, 2469, 547, 1294, 711, 1152, 5487, 32371, 2784, 320, 12259, 807, 855, 849, 5244, 717, 6686, 749, 2439, 5978, 1101, 3247, 729, 519, 25713, 15564, 25378, 5178, 6403, 997, 320, 632, 3288, 32371, 2784, 320, 5482, 6403, 20377, 269, 1306, 649, 14059, 713, 4652, 31944, 20100, 267, 594, 5433, 17984, 538, 1250, 7181, 910, 621, 6743, 1256, 811, 15999, 982, 519, 6337, 269, 4706, 6946, 1795, 3547, 267, 7381, 838, 2231, 8757, 2509, 519, 6607, 267, 543, 7524, 26911, 4837, 9486, 3576, 1250, 7362, 2476, 269, 898, 729, 5963, 1208, 17331, 547, 1589, 602, 4070, 3459, 538, 476, 6642, 273, 543, 2943, 1934, 649, 941, 267, 936, 513, 4627, 1296, 2663, 267, 14952, 532, 693, 922, 14996, 775, 780, 5475, 7836, 3108, 3695, 1169, 7944, 540, 5487, 32371, 2784, 320, 12259, 807, 267, 649, 4956, 547, 2212, 909, 547, 5244, 717, 6686, 749, 519, 1985, 1554, 269, 901, 942, 267, 3079, 540, 6264, 6189, 267, 649, 941, 30870, 676, 18932, 3039, 2044, 543, 10477, 19821, 923, 3262, 2066, 3768, 6819, 8916, 269, 898, 729, 899, 19480, 883, 513, 4023, 12682, 1446, 1158, 1141, 1169, 2490, 7000, 1945, 1007, 543, 4190, 269, 3733, 2295, 2220, 8215, 7487, 875, 30590, 1250, 9393, 729, 1932, 282, 1310, 782, 267, 646, 23939, 9709, 713, 3003, 16314, 1175, 585, 721, 780, 3719, 2370, 1705, 594, 917, 267, 1272, 1185, 1776, 9983, 7996, 585, 803, 9624, 891, 6405, 795, 2426, 956, 269, 2201, 938, 3791, 1554, 267, 1247, 2348, 6995, 2282, 595, 14505, 15506, 961, 6759, 267, 594, 8068, 513, 5432, 3068, 9361, 4805, 693, 513, 7404, 3349, 269, 1744, 1442, 5944, 267, 621, 729, 12756, 267, 1250, 2852, 887, 2174, 622, 945, 6410, 547, 5245, 1318, 1310, 22692, 269, 2701, 22821, 1405, 4957, 1454, 1107, 1482, 32689, 12837, 267, 31394, 4064, 2407, 540, 7279, 267, 543, 1200, 29267, 626, 752, 762, 14902, 780, 2171, 6170, 519, 1964, 540, 938, 2395, 1927, 267, 21523, 1424, 827, 2025, 2053, 267, 4687, 2984, 267, 543, 28617, 11489, 17229, 18202, 1524, 938, 1750, 4060, 269, 2334, 6397, 7237, 5828, 856, 547, 581, 519, 5031, 540, 938, 7552, 269, 1656, 865, 267, 31314, 1063, 1079, 19416, 13144, 540, 16653, 328, 717, 7596, 6403, 267, 2482, 1776, 10475, 3965, 31960, 2620, 1369, 1250, 2295, 910, 513, 12576, 602, 3006, 267, 519, 1655, 851, 540, 1022, 3460, 3884, 1405, 8806, 8289, 572, 4370, 267, 855, 519, 694, 16781, 760, 527, 748, 13341, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2995, 803, 827, 519, 4583, 21056, 538, 30209, 267, 971, 607, 519, 5487, 32371, 2784, 320, 12259, 807, 610, 5244, 2871, 749, 888, 306, 675, 267, 594, 9364, 581, 6126, 547, 2995, 596, 827, 930, 540, 519, 4583, 21056, 538, 30209, 2439, 17442, 32371, 2784, 320, 12259, 807, 568, 513, 18198, 24958, 3821, 602, 729, 2966, 676, 519, 25337, 18280, 534, 4056, 267, 16653, 328, 717, 7596, 6403, 269, 14716, 540, 519, 24958, 3821, 3323, 538, 476, 6642, 273, 543, 568, 1869, 5571, 2221, 267, 936, 513, 2540, 2663, 269, 898, 568, 1634, 585, 922, 15022, 622, 3655, 9809, 1228, 267, 10875, 26911, 4837, 9486, 267, 543, 26009, 838, 2231, 269, 5487, 32371, 2784, 320, 12259, 807, 568, 835, 540, 519, 1034, 10272, 15805, 18845, 538, 8050, 543, 568, 513, 1590, 268, 5408, 585, 4896, 9683, 30209, 780, 303, 1046, 2871, 749, 568, 1776, 4583, 19506, 538, 30209, 602, 729, 849, 2966, 676, 16653, 328, 717, 7596, 6403, 269, 634, 6288, 568, 4092, 593, 513, 14629, 6772, 8504, 519, 2749, 267, 5356, 10875, 31858, 25271, 5784, 269, 898, 2934, 627, 15501, 673, 24463, 2275, 2642, 5656, 267, 5214, 11057, 18810, 267, 543, 10477, 512, 6150, 1649, 2583, 269, 5244, 2871, 749, 568, 513, 2442, 5544, 585, 17137, 543, 14666, 547, 6001, 543, 2972, 519, 5898, 540, 519, 2749, 780, 8448, 4583, 2244, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 898, 729, 513, 6505, 543, 13566, 1554, 950, 808, 10154, 4607, 513, 1289, 689, 1200, 19033, 6998, 952, 1352, 9709, 547, 7390, 519, 28813, 9584, 540, 519, 1007, 15705, 7260, 267, 634, 14730, 26427, 269, 2701, 14452, 267, 834, 5591, 267, 667, 23098, 267, 594, 3576, 519, 1554, 1055, 267, 855, 594, 7012, 1405, 3206, 827, 2469, 2394, 2663, 9522, 697, 267, 2899, 8861, 4991, 1753, 689, 960, 3010, 2026, 3781, 8593, 267, 8861, 14281, 808, 10154, 676, 11021, 789, 2212, 547, 519, 14364, 2038, 585, 519, 28813, 6566, 328, 699, 256, 5510, 789, 4682, 267, 23362, 9027, 908, 741, 2962, 1790, 17977, 10543, 269, 27336, 1516, 693, 519, 21576, 267, 789, 8068, 1945, 9058, 910, 5215, 540, 6801, 1000, 1074, 1782, 16841, 538, 519, 5318, 1163, 534, 572, 540, 2230, 2439, 297, 10154, 5828, 547, 8861, 543, 26866, 1229, 267, 834, 12441, 596, 917, 1346, 6263, 15956, 540, 1769, 616, 2965, 11999, 11084, 540, 3905, 3154, 286, 25578, 666, 2661, 585, 6634, 610, 1256, 17542, 540, 1296, 1354, 4881, 856, 540, 4492, 10590, 1306, 789, 9411, 519, 4158, 2989, 14364, 267, 8861, 20493, 543, 15527, 267, 834, 8133, 267, 543, 930, 3744, 3494, 10785, 899, 3047, 4646, 1472, 891, 12955, 6801, 267, 799, 1287, 1011, 10757, 883, 4190, 12269, 540, 5182, 706, 560, 3010, 9617, 607, 15506, 2006, 7902, 593, 5496, 32626, 1010, 535, 3996, 267, 1945, 6397, 5949, 9789, 8279, 3357, 1394, 593, 267, 14443, 532, 519, 1397, 256, 589, 1379, 10006, 1185, 5734, 4884, 267, 4929, 3109, 8083, 10876, 269, 4014, 25922, 267, 808, 10154, 7691, 875, 26752, 789, 941, 282, 5103, 519, 28842, 1466, 267, 3025, 7283, 2922, 269, 769, 10452, 593, 519, 1995, 267, 1312, 808, 10154, 543, 8861, 4121, 519, 2956, 540, 13916, 1247, 19825, 2470, 781, 13300, 267, 1519, 938, 1360, 1378, 5182, 267, 519, 6129, 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, 28317, 7008, 540, 2395, 3516, 2073, 1250, 19033, 1572, 543, 4280, 952, 594, 729, 2469, 547, 513, 28813, 6029, 540, 634, 14730, 26427, 1547, 594, 5143, 1864, 602, 594, 1412, 323, 3144, 2221, 1055, 2073, 855, 602, 2073, 1100, 2073, 594, 729, 562, 1405, 2731, 4058, 593, 2469, 547, 1294, 621, 2394, 1310, 1250, 7385, 3893, 1055, 960, 1547, 16258, 4464, 547, 19108, 1547, 1284, 3893, 1753, 689, 960, 2073, 543, 1250, 7385, 3081, 602, 2073, 952, 594, 2731, 4941, 547, 2073, 649, 1223, 979, 547, 519, 28813, 6029, 16317, 24876, 2626, 519, 1739, 2243, 1210, 2963, 689, 519, 1657, 8574, 281, 4208, 1705, 562, 1405, 519, 15669, 979, 547, 1294, 519, 28813, 6029, 513, 7008, 540, 2395, 3516, 15017, 763, 15669, 4769, 1405, 979, 547, 519, 28813, 6029, 513, 7008, 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 ]
[ 22577, 1452, 9784, 3676, 540, 1804, 1973, 8043, 543, 1507, 1973, 8043, 2073, 607, 5265, 607, 22074, 540, 519, 13285, 7392, 476, 272, 3987, 267, 5892, 1419, 1634, 607, 11174, 3987, 267, 568, 9247, 519, 1034, 3665, 1826, 540, 519, 2068, 563, 10214, 7900, 476, 1428, 547, 8938, 1295, 540, 6186, 24316, 5751, 1169, 1554, 666, 948, 519, 9176, 14799, 2759, 1394, 5409, 16744, 20945, 1510, 3395, 519, 4960, 540, 1802, 1424, 29897, 27373, 1403, 552, 1872, 569, 20945, 1175, 3884, 512, 6913, 676, 6171, 3797, 543, 3635, 1369, 513, 3339, 1973, 4006, 476, 1015, 2395, 267, 7378, 568, 3323, 21250, 656, 2021, 2154, 1614, 547, 2185, 8320, 519, 7274, 540, 7378, 4941, 676, 513, 1875, 2181, 3913, 656, 14799, 10705, 835, 9570, 540, 1279, 9117, 7378, 693, 21557, 568, 6190, 267, 609, 4028, 9117, 1202, 592, 1231, 267, 26759, 267, 1455, 7378, 267, 7378, 607, 4820, 21921, 5364, 2073, 610, 7378, 561, 529, 2889, 21921, 5364, 1031, 547, 5351, 19993, 29944, 2359, 6184, 6081, 1350, 1173, 710, 2073, 2899, 1031, 585, 29556, 3987, 267, 568, 1631, 711, 6225, 585, 9176, 21031, 5221, 2566, 666, 14320, 21592, 1973, 7280, 9832, 267, 2566, 7245, 568, 513, 4128, 585, 1973, 4006, 547, 581, 1164, 10552, 17491, 20946, 4105, 513, 3368, 540, 3797, 563, 5472, 519, 4798, 5833, 741, 2101, 1416, 2429, 519, 27851, 16457, 1072, 1416, 1062, 1813, 547, 713, 1249, 267, 590, 2464, 543, 7127, 547, 1416, 941, 711, 2609, 7085, 687, 540, 4587, 4892, 723, 2392, 328, 3449, 901, 1797, 741, 7280, 9832, 616, 2362, 982, 2834, 855, 711, 7050, 6190, 547, 581, 1634, 607, 3987, 4658, 609, 2392, 328, 3449, 723, 513, 2362, 10171, 540, 2870, 2186, 476, 273, 3987, 543, 2348, 513, 18337, 2295, 4323, 610, 8482, 563, 8170, 1719, 267, 1382, 723, 3254, 602, 972, 568, 827, 513, 476, 3374, 6175, 538, 3448, 1981, 585, 2890, 341, 6018, 4576, 585, 1142, 476, 272, 10958, 538, 589, 272, 322, 634, 683, 13145, 547, 2834, 519, 589, 272, 322, 267, 519, 6175, 11613, 519, 3463, 585, 2890, 341, 6018, 8374, 12128, 666, 1256, 6364, 689, 824, 17441, 18063, 267, 2147, 547, 7050, 2208, 9449, 2504, 543, 595, 5241, 521, 6794, 563, 2791, 666, 1489, 707, 1560, 521, 2067, 4390, 547, 4383, 707, 1973, 4006, 609, 513, 5885, 7110, 2755, 891, 8192, 9360, 4465, 512, 2126, 3987, 610, 2392, 328, 3449, 267, 789, 616, 1419, 3730, 7258, 513, 8192, 1689, 9093, 11584, 531, 9979, 2014, 1548, 1772, 16453, 10552, 17491, 513, 3339, 1973, 4006, 15088, 538, 1142, 10399, 543, 1973, 4006, 2157, 4400, 666, 4049, 5945, 2014, 12150, 1973, 4006, 2157, 1973, 4006, 568, 513, 1713, 2721, 3724, 602, 1223, 4440, 3986, 513, 3339, 1973, 4006, 519, 8594, 540, 2295, 2068, 267, 2295, 14213, 267, 8482, 267, 8459, 11216, 1198, 1973, 4006, 2800, 267, 543, 6266, 540, 824, 1134, 1373, 2042, 4144, 12185, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 267, 610, 670, 9391, 267, 568, 513, 28658, 689, 1360, 1164, 1973, 14836, 538, 11570, 609, 1826, 476, 273, 3987, 513, 3339, 1973, 4006, 5843, 341, 6018, 5945, 568, 3989, 607, 2800, 547, 1507, 1973, 8043, 267, 543, 621, 521, 513, 1455, 4586, 1432, 4024, 13722, 10552, 17491, 16797, 569, 454, 935, 30084, 540, 1164, 1973, 4006, 563, 31936, 267, 596, 1522, 1590, 2539, 707, 2126, 693, 930, 1448, 607, 519, 9360, 1376, 547, 1491, 1198, 589, 19599, 1164, 6871, 540, 519, 11317, 2907, 814, 2392, 328, 3449, 267, 4352, 811, 1419, 982, 711, 267, 713, 2068, 4422, 3768, 328, 30938, 901, 568, 1360, 3020, 538, 2013, 596, 616, 14968, 610, 723, 2564, 6381, 899, 3987, 563, 13312, 28017, 616, 16453, 10552, 17491, 513, 3339, 1973, 4006, 6225, 547, 2057, 1978, 3029, 540, 4829, 267, 2705, 267, 23661, 569, 267, 1169, 2186, 540, 5613, 666, 20866, 581, 10057, 1280, 3236, 267, 3368, 513, 19337, 568, 2907, 835, 7674, 540, 11950, 2561, 956, 543, 24453, 11129, 547, 581, 1100, 3677, 982, 513, 17281, 3440, 563, 1103, 1840, 547, 22212, 707, 2732, 267, 3802, 585, 476, 1015, 3764, 1310, 1142, 7594, 547, 4217, 3986, 7378, 8417, 543, 7280, 19718, 883, 707, 2281, 5192, 513, 29748, 547, 513, 14468, 3987, 19829, 945, 786, 12189, 741, 7840, 1759, 6140, 593, 707, 1560, 267, 711, 1018, 519, 4808, 2161, 1403, 707, 1973, 4006, 3788, 547, 581, 1164, 609, 519, 2731, 5363, 2179, 540, 19719, 829, 7594, 267, 2539, 519, 19719, 2417, 563, 5629, 707, 1560, 814, 12842, 782, 519, 4006, 621, 666, 689, 4568, 267, 621, 786, 1376, 547, 6633, 909, 519, 4006, 267, 13302, 707, 1973, 4006, 2157, 1306, 519, 6797, 29620, 519, 11166, 540, 3063, 4006, 267, 707, 1973, 4006, 9832, 786, 6175, 901, 2306, 707, 1973, 4006, 31567, 1970, 865, 17890, 607, 519, 4568, 8952, 18363, 707, 6797, 521, 3339, 1599, 563, 295, 27941, 25026, 566, 4386, 609, 11506, 1973, 4006, 5834, 267, 799, 666, 2491, 1946, 5409, 16744, 20945, 1223, 2014, 2152, 2147, 547, 18337, 2295, 4323, 543, 8482, 2311, 519, 9838, 942, 267, 25026, 730, 5536, 2147, 547, 25928, 1970, 5860, 9067, 29952, 610, 14432, 4990, 540, 8501, 616, 811, 12155, 547, 16617, 1306, 513, 1267, 267, 12444, 1242, 25928, 28901, 519, 19473, 29912, 1184, 634, 1114, 1826, 568, 27185, 8681, 658, 610, 1310, 7594, 5409, 16744, 20945, 267, 799, 4386, 950, 707, 1973, 4006, 568, 3677, 982, 476, 5197, 8406, 546, 331, 1079, 3108, 1310, 513, 7594, 4658, 1510, 3987, 711, 1419, 723, 1973, 4006, 2362, 982, 513, 4627, 543, 17288, 8406, 546, 331, 1310, 513, 7594, 8259, 621, 521, 513, 2462, 835, 563, 2171, 3810, 2303, 1818, 606, 3801, 856, 513, 7274, 540, 8192, 9360, 1354, 596, 4128, 585, 1973, 4006, 547, 581, 1164, 10552, 17491, 20946, 14962, 782, 540, 873, 6145, 1082, 9360, 267, 713, 835, 676, 26192, 7093, 26606, 2882, 24036, 543, 15273, 9440, 5637, 540, 1346, 3334, 3100, 547, 960, 3833, 5265, 538, 13076, 609, 519, 3621, 3332, 267, 799, 649, 786, 2911, 827, 538, 3178, 2663, 593, 563, 2467, 616, 1079, 2101, 3029, 540, 3987, 22577, 267, 1826, 476, 272, 543, 2186, 476, 273, 2859, 2367, 982, 6690, 723, 3987, 538, 519, 2475, 267, 543, 519, 4576, 666, 1860, 2367, 538, 513, 2189, 1259, 982, 21031, 2782, 940, 2589, 540, 3987, 602, 2367, 723, 543, 6690, 798, 711, 9784, 1970, 19697, 1970, 512, 2073, 4638, 2152, 267, 791, 582, 775, 2073, 8519, 1719, 538, 26697, 267, 543, 1427, 5766, 8565, 552, 329, 659, 1637, 9615, 585, 1826, 476, 272, 3987, 568, 7378, 267, 543, 2126, 1449, 1973, 4006, 1510, 533, 4459, 532, 585, 4990, 476, 273, 3987, 616, 6197, 12381, 899, 4189, 513, 14312, 2732, 267, 3478, 5721, 1554, 676, 1554, 267, 1973, 4006, 2157, 5312, 6553, 543, 952, 2877, 267, 3987, 1281, 27520, 2732, 6318, 1973, 4006, 5061, 634, 2834, 2039, 540, 1973, 7280, 2157, 585, 2043, 609, 3987, 568, 1063, 476, 3199, 543, 476, 9873, 31501, 829, 1232, 559, 3438, 8406, 546, 299, 563, 7021, 513, 1279, 942, 1974, 267, 7050, 7280, 9832, 538, 707, 1973, 666, 9691, 3441, 707, 18337, 2295, 267, 707, 4064, 267, 707, 19462, 543, 707, 14401, 2986, 1576, 1114, 6527, 616, 11311, 547, 4308, 609, 1022, 4540, 1134, 1373, 2042, 602, 3565, 547, 3395, 707, 3463, 540, 3384, 3987, 1452, 6381, 9784, 13119, 267, 7050, 561, 323, 331, 8501, 543, 824, 2295, 1644, 3676, 5901, 707, 1973, 7280, 9832, 607, 2673, 547, 547, 3339, 607, 2009, 676, 1739, 513, 1426, 1544, 1544, 267, 2921, 11311, 6646, 543, 8375, 707, 2534, 3942, 634, 2014, 540, 3987, 267, 8726, 4586, 11947, 10552, 17491, 1656, 932, 325, 1548, 1772, 7392, 476, 272, 12128, 454, 1492, 4990, 267, 568, 2348, 606, 3665, 2179, 540, 7280, 21883, 538, 707, 18072, 563, 4462, 25049, 3987, 666, 1291, 547, 6414, 1836, 7050, 1973, 7280, 9832, 901, 267, 538, 16212, 267, 2164, 538, 1973, 6077, 5945, 543, 11658, 2095, 267, 543, 5135, 543, 5567, 666, 512, 1205, 547, 519, 2281, 602, 1616, 621, 1519, 4552, 32235, 13262, 1223, 2014, 9449, 3942, 12381, 513, 3339, 1973, 4006, 602, 1860, 4552, 1646, 1403, 596, 1223, 723, 7392, 476, 272, 3987, 267, 707, 4761, 1062, 6285, 3294, 543, 666, 1256, 2014, 513, 4552, 2530, 2783, 5219, 547, 607, 620, 641, 1815, 807, 616, 1092, 563, 763, 31942, 2964, 1227, 20205, 519, 3617, 7274, 540, 7378, 950, 519, 6895, 6920, 621, 521, 4941, 1280, 3617, 29944, 2359, 538, 4136, 553, 619, 609, 3987, 538, 1875, 2565, 1416, 5468, 267, 31479, 1973, 7280, 4152, 568, 519, 6225, 4480, 540, 4152, 769, 6300, 11825, 945, 616, 5827, 540, 4189, 267, 1973, 7280, 513, 3339, 1973, 4006, 10552, 17491, 20946, 4152, 568, 2731, 5363, 1354, 6980, 543, 693, 21557, 267, 543, 1169, 476, 275, 476, 277, 3108, 538, 6300, 11825, 8391, 1303, 1968, 20555, 543, 610, 616, 562, 559, 950, 1973, 4006, 568, 1164, 1018, 9449, 568, 5950, 676, 610, 529, 563, 27039, 593, 707, 3797, 1544, 267, 596, 1522, 4983, 543, 1867, 707, 1973, 4006, 607, 1082, 607, 476, 275, 14026, 513, 1554, 610, 811, 3335, 952, 596, 513, 3339, 1973, 4006, 556, 2921, 7378, 5516, 995, 5464, 568, 519, 835, 1259, 547, 2327, 602, 707, 1973, 4006, 4110, 3788, 1369, 707, 3077, 2039, 4658, 609, 2186, 476, 273, 3987, 945, 5749, 512, 2921, 7378, 3622, 13182, 741, 1973, 4006, 1454, 1447, 538, 947, 14688, 1403, 596, 1522, 723, 3987, 267, 707, 3782, 18261, 786, 960, 609, 596, 547, 2123, 1125, 707, 3804, 1973, 4006, 2157, 547, 2743, 707, 1367, 1134, 1373, 2115, 563, 1607, 10522, 602, 6980, 5079, 4481, 891, 1548, 1772, 16453, 10552, 17491, 513, 3339, 1973, 4006, 609, 1164, 2241, 19346, 1543, 1404, 513, 2101, 1909, 607, 513, 1439, 1267, 540, 519, 3029, 540, 6980, 596, 3548, 723, 11207, 1114, 2360, 593, 1973, 4006, 1411, 949, 6999, 547, 2268, 707, 1973, 4006, 1354, 6980, 547, 1205, 513, 15977, 267, 1310, 799, 1079, 3108, 1310, 707, 7594, 547, 2268, 707, 3339, 1973, 4006, 1377, 2659, 10629, 949, 10123, 4363, 7893, 1973, 4006, 1354, 5127, 547, 581, 2386, 596, 723, 1044, 4189, 1134, 782, 998, 519, 1554, 543, 949, 979, 547, 3207, 609, 4708, 540, 2247, 2334, 568, 21453, 607, 513, 1267, 540, 707, 26430, 568, 5827, 267, 896, 3339, 6381, 267, 540, 6173, 908, 707, 1973, 7280, 547, 27357, 9832, 950, 2877, 267, 1256, 950, 596, 723, 711, 13881, 898, 568, 1271, 547, 1832, 873, 538, 2359, 547, 948, 4104, 718, 2798, 899, 2295, 4576, 610, 8229, 2800, 634, 2034, 568, 519, 670, 321, 288, 272, 322, 2542, 267, 799, 3947, 513, 1434, 19583, 540, 938, 3328, 1852, 936, 513, 8884, 540, 476, 273, 547, 1614, 3275, 563, 2690, 19920, 1063, 519, 2085, 540, 476, 277, 543, 476, 1321, 267, 1354, 4189, 267, 1973, 4006, 2157, 1058, 581, 1063, 476, 3445, 8406, 546, 299, 476, 276, 6515, 565, 700, 543, 513, 4627, 543, 32210, 8406, 546, 299, 476, 1015, 6515, 565, 700, 6969, 3207, 2418, 11129, 547, 581, 1063, 513, 4627, 8406, 546, 299, 476, 4649, 6515, 565, 700, 543, 476, 5197, 8406, 546, 299, 476, 1015, 6515, 565, 700, 1280, 513, 2635, 2937, 513, 2757, 4110, 568, 1063, 476, 7761, 8406, 546, 299, 543, 476, 10482, 8406, 546, 299, 476, 275, 547, 476, 277, 6515, 565, 700, 634, 1445, 540, 7280, 1369, 519, 1973, 540, 513, 2635, 1367, 538, 519, 6640, 593, 606, 8900, 17737, 568, 1063, 476, 6924, 8406, 546, 299, 543, 476, 10482, 8406, 546, 299, 476, 274, 324, 697, 543, 476, 277, 14706, 6515, 565, 700, 5565, 3108, 1310, 10438, 6980, 610, 10425, 14547, 538, 11950, 267, 519, 2418, 616, 1419, 1063, 476, 6344, 543, 476, 9610, 8406, 546, 299, 476, 6858, 543, 476, 4281, 6515, 565, 700, 1403, 1007, 1353, 513, 3679, 2157, 1973, 4006, 1973, 4006, 2157, 616, 1312, 11506, 610, 8519, 676, 513, 2362, 14345, 982, 17191, 713, 1131, 7654, 1448, 856, 513, 2564, 2783, 563, 8448, 338, 3494, 602, 6305, 9830, 540, 10399, 7222, 547, 1322, 6856, 821, 267, 23280, 267, 7139, 716, 514, 267, 1480, 726, 659, 1581, 14915, 4094, 267, 543, 21110, 949, 1860, 12498, 1591, 1685, 543, 15672, 7378, 8417, 570, 273, 19699, 3322, 513, 3063, 7294, 16799, 1063, 11976, 543, 1272, 2511, 1703, 568, 6654, 2963, 11021, 602, 570, 273, 19699, 568, 814, 513, 6793, 22420, 9043, 607, 3379, 547, 570, 272, 19699, 634, 5354, 540, 2550, 609, 519, 2068, 723, 693, 2547, 835, 2385, 609, 570, 273, 19699, 634, 4719, 4282, 585, 1312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5924, 519, 1483, 543, 1950, 2338, 616, 4843, 676, 13565, 10321, 1341, 630, 476, 275, 1341, 476, 276, 29111, 3738, 596, 29755, 568, 1496, 3735, 343, 9948, 476, 274, 266, 275, 328, 25490, 2715, 476, 274, 7684, 1496, 1315, 17218, 343, 9948, 4843, 676, 13565, 10321, 30966, 12427, 849, 269, 10606, 883, 519, 18452, 4446, 610, 2854, 1210, 9338, 307, 1341, 1775, 5604, 7711, 1862, 8641, 532, 2338, 1862, 10606, 5749, 11313, 512, 1483, 9811, 543, 1100, 543, 631, 7238, 321, 3780, 17992, 725, 5749, 11313, 1483, 1862, 8641, 1227, 1210, 606, 14803, 663, 6516, 1454, 899, 1022, 1448, 538, 519, 18452, 630, 1862, 3417, 1950, 8691, 543, 6498, 267, 5276, 543, 5276, 27847, 3252, 267, 543, 930, 11810, 2035, 649, 2807, 7089, 3436, 3738, 16849, 519, 16494, 1770, 3852, 363, 666, 581, 6719, 538, 1483, 5991, 3784, 1862, 10606, 616, 1483, 1496, 851, 476, 272, 910, 30991, 281, 476, 276, 281, 5325, 2161, 519, 2626, 707, 1862, 594, 538, 1931, 547, 1826, 1950, 2338, 5749, 11313, 512, 1483, 649, 1665, 621, 609, 281, 476, 271, 267, 272, 256, 476, 272, 1341, 476, 273, 29111, 3738, 3947, 596, 519, 1950, 3852, 363, 568, 5833, 676, 10296, 9338, 307, 1341, 1775, 11282, 11783, 1422, 630, 1775, 315, 3738, 607, 519, 16494, 1770, 6902, 552, 3052, 267, 1141, 1775, 21762, 1862, 717, 1161, 596, 519, 1950, 1297, 476, 274, 1341, 476, 275, 328, 16532, 855, 711, 538, 519, 1483, 5991, 3784, 11282, 7077, 267, 1341, 1862, 4964, 532, 9338, 307, 1341, 1775, 538, 519, 31909, 7215, 1210, 15821, 3652, 1900, 8386, 9912, 713, 3896, 3096, 12897, 547, 2327, 596, 519, 256, 2368, 2983, 334, 10481, 3630, 3252, 602, 960, 593, 1312, 2798, 543, 1950, 2338, 1454, 899, 1448, 256, 3738, 607, 519, 16494, 851, 540, 513, 1950, 1599, 1022, 1448, 538, 519, 4446, 256, 2201, 1312, 2798, 543, 1950, 2338, 1454, 899, 1022, 1448, 538, 519, 1483, 1272, 543, 11783, 2098, 11224, 513, 7132, 1979, 513, 2016, 1950, 1297, 267, 513, 1341, 16481, 267, 1141, 1775, 815, 21762, 630, 3738, 1862, 22569, 2435, 3334, 12449, 2070, 607, 513, 1448, 538, 519, 1483, 5991, 3784, 11282, 7077, 267, 513, 1341, 1979, 568, 1448, 630, 28011, 1341, 16481, 267, 1141, 1775, 815, 21762, 630, 910, 272, 3738, 1383, 281, 16494, 630, 2999, 1950, 1297, 3436, 16849, 256, 1411, 1205, 519, 1655, 1995, 6902, 16952, 6657, 13565, 547, 16494, 543, 1950, 2338, 2983, 334, 10481, 3630, 543, 6041, 540, 3334, 269, 12793, 21235, 519, 1259, 789, 616, 547, 2638, 707, 2626, 11313, 512, 1483, 2983, 334, 10481, 3630, 10789, 269, 962, 7852, 815, 1483, 7852, 267, 586, 3738, 8424, 616, 1031, 547, 2087, 891, 2338, 799, 649, 991, 849, 256, 1772, 10268, 693, 519, 1283, 538, 1312, 1234, 270, 3412, 543, 8701, 630, 678, 270, 9064, 15426, 256, 1772, 6829, 607, 1990, 11224, 513, 7132, 1979, 476, 274, 3852, 363, 3738, 11729, 476, 274, 1297, 476, 274, 1341, 476, 275, 328, 16532, 711, 256, 10606, 2047, 267, 855, 596, 949, 946, 2798, 547, 18082, 4238, 609, 1950, 2338, 1142, 1950, 23511, 18838, 1210, 9338, 307, 1341, 1775, 2338, 2047, 267, 855, 711, 538, 519, 18452, 4446, 676, 1210, 1422, 630, 1775, 315, 607, 24222, 855, 596, 949, 946, 2798, 547, 18082, 4238, 609, 1950, 2338, 1775, 1862, 6145, 1022, 1448, 538, 519, 1106, 476, 1990, 30381, 266, 6798, 567, 666, 581, 538, 269, 3852, 488, 666, 581, 6719, 538, 519, 2473, 312, 7077, 267, 1950, 2338, 267, 1141, 1775, 21762, 1862, 2098, 476, 666, 581, 6719, 538, 519, 18452, 4446, 676, 1210, 1422, 630, 1775, 315, 3738, 607, 519, 16494, 543, 269, 634, 12449, 2070, 607, 513, 1448, 543, 596, 666, 946, 713, 4756, 1775, 538, 1931, 547, 1826, 1950, 2338, 519, 256, 1656, 631, 7238, 321, 3780, 17992, 725, 267, 1869, 581, 3730, 538, 519, 5590, 540, 1950, 23511, 267, 5276, 543, 5276, 27847, 3252, 267, 543, 930, 11810, 2035, 4159, 519, 1950, 1297, 476, 278, 476, 276, 29111, 269, 1772, 9811, 543, 1100, 1950, 3252, 21235, 519, 1259, 789, 2520, 334, 5040, 16494, 2338, 1931, 547, 1950, 269, 1422, 630, 1775, 315, 3738, 607, 519, 16494, 1770, 543, 649, 1665, 621, 609, 281, 476, 271, 267, 272, 269, 630, 476, 271, 267, 272, 3738, 815, 328, 1141, 281, 8204, 713, 1297, 6292, 630, 513, 267, 536, 3738, 12981, 30966, 269, 18185, 1281, 2596, 12980, 593, 1950, 2338, 2047, 267, 855, 711, 538, 519, 18452, 4446, 630, 2807, 281, 476, 280, 281, 3393, 910, 22217, 1518, 1950, 7215, 1210, 15821, 3652, 1900, 8386, 9912, 713, 3896, 3096, 12897, 547, 596, 256, 1284, 991, 267, 513, 1341, 1979, 568, 1448, 630, 513, 267, 536, 3738, 538, 32472, 540, 256, 901, 3896, 3096, 12897, 547, 2327, 596, 1205, 519, 1655, 1995, 519, 3334, 3252, 540, 2016, 1862, 1656, 649, 1665, 621, 609, 281, 630, 476, 271, 267, 272, 3738, 815, 328, 1141, 281, 17767, 7215, 5473, 543, 269, 589, 543, 536, 616, 21635, 2626, 547, 707, 2243, 568, 9811, 543, 1100, 281, 4985, 9948, 910, 30991, 476, 276, 281, 5325, 1421, 543, 930, 11810, 2035, 891, 1950, 2338, 6902, 476, 278, 20514, 1871, 568, 10268, 693, 519, 1283, 538, 1312, 543, 256, 476, 274, 291, 8642, 9486, 540, 2983, 334, 10481, 3630, 543, 6041, 540, 519, 3334, 3252, 540, 2016, 269, 4446, 610, 2854, 1210, 9338, 307, 1341, 1775, 723, 12943, 7157, 979, 547, 519, 1985, 2243, 1234, 270, 3412, 8701, 1862, 681, 270, 763, 3279, 3738, 10035, 519, 1655, 1995, 2638, 707, 2626, 1259, 789, 616, 2338, 616, 1483, 1496, 851, 281, 256, 11724, 538, 519, 31909, 540, 14263, 476, 272, 14263, 476, 272, 1031, 547, 2087, 891, 2338, 649, 1862, 1677, 1826, 1950, 2338, 15069, 5827, 540, 8204, 713, 1297, 6292, 607, 1297, 269, 3738, 10035, 9948, 476, 274, 266, 275, 328, 25490, 2715, 476, 274, 7684, 1496, 1315, 17218, 343, 9948, 568, 513, 1950, 23511, 910, 22217, 1518, 1950, 7215, 1210, 15821, 3652, 1900, 8386, 9912, 713, 3896, 3096, 12897, 547, 596, 1862, 2974, 281, 5604, 7711, 1862, 8641, 532, 1950, 2338, 666, 581, 6719, 607, 513, 1297, 6292, 513, 256, 476, 275, 296, 16532, 855, 596, 949, 946, 2798, 547, 18082, 4238, 609, 1950, 666, 269, 7464, 543, 1950, 2338, 568, 9811, 543, 1100, 6829, 607, 1990, 11224, 513, 7132, 1979, 1018, 1281, 891, 1950, 2807, 2052, 946, 713, 4756, 1775, 538, 1931, 547, 1826, 1950, 2338, 946, 2638, 7901, 525, 547, 4159, 519, 1950, 1990, 269, 13216, 2338, 616, 4843, 676, 13565, 10321, 16494, 543, 1950, 2338, 1620, 602, 621, 513, 269, 12430, 27847, 3252, 267, 543, 930, 11810, 2035, 568, 5833, 676, 10296, 9338, 307, 1341, 1775, 5526, 269, 476, 271, 267, 272, 3738, 815, 328, 1141, 281, 543, 16494, 3334, 1297, 3436, 3738, 16849, 519, 16494, 1770, 649, 1862, 10606, 1317, 513, 16302, 16494, 1297, 7472, 513, 2942, 1483, 1297, 540, 2983, 334, 10481, 3630, 543, 6041, 540, 519, 3334, 540, 1862, 2983, 334, 5040, 568, 15069, 5827, 540, 8204, 713, 1297, 6292, 607, 513, 1297, 6292, 607, 513, 1297, 6292, 607, 1297, 269, 9948, 568, 513, 1950, 1297, 3436, 3738, 16849, 519, 16494, 851, 6902, 1979, 568, 16494, 1770, 543, 649, 621, 1862, 18838, 1210, 9338, 307, 1341, 1775, 1142, 1950, 1297, 538, 519, 12449, 2070, 607, 513, 1297, 6292, 630, 513, 536, 1862, 634, 1739, 12981, 543, 30966, 12427, 666, 849, 581, 1031, 281, 2983, 334, 10481, 3630, 849, 17767, 7215, 5473, 1483, 16494, 256, 30991, 281, 476, 280, 281, 3393, 1775, 815, 21762, 630, 910, 272, 3738, 16494, 630, 476, 1704, 1341, 476, 274, 3852, 363, 11729, 1862, 898, 609, 281, 630, 476, 271, 267, 272, 3738, 815, 328, 1141, 281, 6074, 689, 519, 3090, 4216, 538, 519, 8641, 673, 533, 2033, 1946, 1950, 269, 815, 296, 1141, 281, 547, 16494, 543, 1950, 2338, 711, 538, 519, 18452, 4446, 610, 2854, 1210, 9338, 307, 1341, 2807, 13216, 2338, 1483, 7852, 267, 586, 3738, 8424, 616, 1031, 547, 2087, 891, 2338, 799, 991, 1862, 476, 274, 1341, 476, 275, 328, 16532, 855, 711, 538, 519, 31909, 2983, 334, 10481, 3630, 910, 851, 476, 272, 281, 9948, 256, 8293, 1563, 16494, 1297, 267, 1287, 4945, 10505, 547, 2638, 707, 2626, 540, 2983, 334, 10481, 3630, 543, 6041, 540, 3334, 1862, 6092, 972, 568, 1775, 815, 21762, 630, 910, 272, 3738, 2608, 543, 5924, 519, 1483, 851, 6902, 1979, 568, 16494, 1297, 568, 256, 476, 1990, 30381, 266, 6798, 2387, 540, 8204, 713, 1297, 6292, 607, 513, 1448, 538, 519, 12449, 2070, 607, 513, 1297, 630, 1862, 6657, 13565, 547, 16494, 543, 1950, 2338, 568, 3160, 547, 4009, 3597, 540, 14263, 476, 272, 596, 269, 3687, 639, 476, 272, 2338, 18185, 910, 22217, 1518, 1950, 7215, 1210, 15821, 3652, 1900, 8386, 9912, 713, 3896, 12897, 256, 2142, 1031, 281, 2983, 334, 10481, 3630, 849, 17767, 7215, 5473, 1483, 543, 1950, 2338, 2626, 547, 707, 2243, 568, 543, 269, 7684, 1496, 1315, 17218, 343, 9948, 568, 513, 1950, 1297, 910, 272, 910, 476, 276, 29111, 1950, 7077, 1950, 269, 0, 258, 16534, 2979, 2042, 585, 803, 692, 2710, 596, 991, 948, 609, 707, 2979, 6780, 286, 3657, 596, 10010, 547, 1174, 2035, 875, 547, 16534, 2979, 2042, 585, 803, 286, 3776, 3896, 666, 948, 803, 609, 2979, 960, 780, 1012, 14572, 2979, 2042, 585, 803, 692, 2026, 513, 2875, 267, 972, 616, 2053, 950, 596, 991, 547, 16534, 2979, 2042, 585, 803, 269, 1703, 616, 513, 2603, 540, 1390, 2979, 8924, 856, 972, 602, 666, 948, 596, 609, 707, 2979, 6780, 269, 1717, 267, 1250, 2123, 5172, 568, 1572, 7353, 558, 987, 269, 901, 813, 568, 2241, 547, 946, 543, 666, 3533, 2285, 596, 519, 2626, 547, 1022, 2979, 1966, 269, 3807, 1491, 513, 4605, 540, 519, 1966, 543, 519, 813, 786, 2285, 596, 519, 2626, 269, 1411, 666, 849, 946, 519, 813, 547, 1294, 1900, 8386, 9912, 3435, 585, 811, 1950, 2042, 780, 10112, 11167, 596, 1616, 513, 1505, 547, 4194, 13392, 4834, 281, 1703, 568, 513, 1505, 547, 6061, 13392, 4834, 1210, 1152, 4009, 5072, 267, 855, 621, 568, 10169, 32462, 269, 3689, 267, 596, 991, 547, 1491, 519, 3830, 543, 27682, 621, 538, 519, 1106, 540, 630, 343, 1790, 7565, 343, 268, 336, 264, 815, 476, 271, 269, 3973, 267, 596, 1491, 519, 4009, 3597, 540, 1142, 2427, 540, 519, 3830, 267, 799, 786, 2285, 596, 1079, 4834, 281, 1535, 1790, 815, 476, 271, 543, 1535, 268, 336, 815, 476, 271, 269, 1411, 1287, 4194, 1142, 3830, 692, 2414, 4194, 2262, 2042, 538, 7223, 267, 596, 991, 547, 581, 2111, 547, 1224, 543, 1174, 519, 1966, 267, 2697, 519, 4143, 1344, 267, 543, 1287, 946, 602, 1344, 547, 4194, 519, 1966, 269, 10705, 267, 2262, 2042, 786, 723, 2789, 3268, 267, 865, 596, 991, 547, 581, 6297, 547, 1224, 543, 1174, 1142, 1900, 1354, 3843, 547, 4194, 519, 1966, 269, 4495, 596, 723, 519, 2626, 267, 581, 2386, 547, 2638, 707, 960, 547, 1118, 2386, 602, 707, 2626, 2306, 2631, 538, 519, 2796, 540, 519, 1966, 780, 15697, 2200, 267, 971, 607, 7270, 543, 7044, 267, 666, 1683, 513, 5763, 540, 1344, 543, 948, 1053, 1174, 519, 1570, 269, 3958, 267, 2835, 543, 824, 9102, 2200, 666, 581, 1360, 5363, 692, 4322, 1151, 951, 666, 581, 513, 1390, 4199, 950, 596, 2811, 12758, 593, 513, 1966, 543, 991, 930, 3063, 948, 269, 3807, 4283, 707, 1966, 883, 519, 24626, 543, 621, 786, 1397, 596, 519, 3268, 596, 991, 547, 1491, 547, 4194, 621, 780, 2467, 616, 1082, 2081, 547, 1205, 948, 609, 707, 7223, 6780, 269, 1411, 666, 2307, 513, 3659, 610, 20131, 585, 948, 267, 946, 606, 2228, 20131, 610, 6780, 948, 3896, 267, 610, 1256, 16926, 513, 3318, 20131, 269, 3143, 2339, 799, 4781, 596, 3442, 267, 581, 2386, 547, 1205, 519, 948, 596, 991, 865, 596, 666, 2347, 707, 6780, 543, 1205, 1434, 9344, 780, 1012, 2382, 656, 1489, 609, 782, 2010, 540, 2979, 692, 1607, 568, 971, 513, 1390, 813, 547, 2285, 2979, 948, 269, 2353, 596, 798, 568, 11571, 543, 979, 267, 1287, 707, 1305, 594, 9327, 1405, 2161, 621, 3217, 1416, 540, 782, 2979, 2042, 269, 1809, 519, 10311, 616, 7168, 2656, 543, 22510, 269, 476, 1911, 260, 9090, 4363, 2336, 307, 9461, 13643, 454, 3725, 958, 513, 1434, 813, 543, 621, 948, 803, 856, 538, 1250, 2090, 543, 3533, 31758, 519, 1966, 267, 855, 621, 666, 1405, 4194 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11766, 532, 543, 4509, 5150, 5121, 269, 1677, 11574, 1761, 23927, 267, 1896, 4808, 20519, 3007, 1384, 272, 269, 14146, 2178, 14238, 647, 2572, 5885, 4464, 9658, 1097, 630, 12396, 264, 8164, 2009, 282, 2057, 22573, 6620, 15877, 7850, 4027, 7207, 563, 273, 269, 4406, 28371, 7746, 22783, 8499, 267, 4180, 3972, 10290, 1465, 543, 2357, 4328, 2847, 6327, 4567, 1210, 6732, 25890, 21073, 16257, 630, 302, 5425, 303, 264, 25411, 7204, 610, 25890, 4860, 6327, 5903, 630, 10135, 299, 264, 11974, 563, 274, 269, 25956, 7453, 13255, 23771, 8232, 630, 307, 11862, 264, 12122, 4507, 771, 29058, 4617, 29905, 647, 2572, 267, 13496, 267, 543, 556, 10864, 582, 2747, 2934, 12155, 547, 14226, 563, 275, 269, 15585, 622, 4357, 10569, 5781, 543, 4558, 873, 18172, 9001, 8800, 3354, 13838, 630, 9391, 16039, 264, 610, 6131, 1883, 32697, 3435, 563, 276, 269, 18554, 6932, 3463, 4987, 20555, 9477, 9241, 4362, 12755, 18363, 570, 11862, 30582, 543, 4019, 15649, 16425, 2390, 6602, 780, 3528, 29367, 7311, 891, 1655, 2853, 267, 3906, 666, 3648, 2569, 741, 4323, 2627, 1858, 1247, 29103, 1359, 2949, 14302, 1471, 268, 14504, 23724, 17351, 11051, 8247, 593, 18731, 6213, 1239, 7221, 6870, 676, 10226, 307, 4916, 780, 1262, 14483, 3763, 906, 543, 8892, 19648, 16001, 28403, 1944, 519, 7687, 7915, 538, 2757, 26824, 543, 10226, 307, 4916, 6272, 267, 2872, 3401, 723, 5063, 13084, 16845, 3209, 4485, 28110, 4724, 7393, 2773, 267, 10727, 267, 543, 4398, 269, 5565, 7986, 7341, 11543, 11610, 4125, 19532, 2975, 12544, 2489, 26928, 3560, 4494, 7014, 20979, 585, 1357, 6808, 11652, 26824, 270, 274, 30867, 14232, 14469, 540, 26824, 26405, 547, 5486, 656, 26824, 270, 273, 607, 519, 840, 655, 5799, 3903, 585, 2413, 1357, 3156, 780, 12702, 2975, 26779, 3560, 2000, 9707, 2789, 343, 532, 267, 2095, 1852, 267, 543, 20316, 1852, 1369, 513, 2582, 23887, 5943, 796, 16780, 3518, 1229, 676, 9371, 10148, 13684, 676, 27427, 269, 5015, 267, 19532, 2975, 18271, 14871, 13096, 8183, 16257, 630, 308, 7894, 264, 3079, 540, 27427, 267, 1073, 341, 11868, 2212, 6361, 11060, 17527, 2152, 12735, 5224, 6671, 26824, 270, 272, 11859, 543, 26824, 270, 273, 3631, 269, 14265, 1017, 569, 267, 19532, 2975, 849, 12857, 6908, 7400, 14238, 14874, 14427, 5180, 28256, 1186, 2404, 609, 9591, 5094, 570, 11862, 7886, 829, 4276, 780, 19602, 267, 26824, 270, 274, 14767, 2417, 9283, 2679, 2390, 19532, 2975, 781, 10124, 676, 28976, 5033, 24939, 267, 17975, 5470, 7829, 267, 543, 9750, 1489, 585, 4359, 2934, 1519, 21341, 4054, 267, 10862, 14565, 267, 543, 7903, 4238, 269, 11814, 1947, 267, 891, 7835, 1200, 12245, 513, 1007, 5736, 6353, 676, 15398, 30506, 267, 30840, 267, 543, 3082, 2032, 2766, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2461, 4058, 547, 1491, 519, 3281, 2316, 288, 8232, 266, 20219, 271, 268, 25002, 981, 596, 1058, 723, 1082, 540, 519, 1134, 8153, 16788, 8357, 1242, 269, 20638, 476, 272, 269, 276, 968, 26368, 4122, 1031, 9949, 3060, 16788, 892, 585, 519, 3281, 2316, 288, 8232, 266, 981, 8638, 1896, 10873, 543, 596, 1058, 917, 519, 16788, 1031, 585, 1142, 540, 891, 563, 2252, 596, 1174, 16788, 267, 18178, 6619, 547, 519, 3448, 7515, 563, 11039, 19612, 623, 2176, 454, 11039, 1634, 2823, 2338, 616, 20083, 547, 1808, 10873, 543, 950, 596, 1294, 519, 2823, 267, 596, 1058, 581, 2111, 547, 2697, 519, 7014, 269, 6884, 596, 949, 581, 2016, 519, 7014, 543, 581, 2838, 547, 2697, 519, 2823, 269, 1703, 616, 476, 9083, 275, 1134, 1634, 27427, 543, 772, 7894, 16788, 630, 333, 3518, 1229, 476, 271, 998, 476, 9083, 274, 264, 855, 596, 1810, 1406, 991, 547, 27655, 873, 782, 269, 1411, 1058, 917, 519, 16788, 538, 519, 7515, 593, 713, 2985, 563, 763, 1134, 8153, 16788, 616, 9266, 16788, 543, 723, 4986, 547, 798, 609, 2168, 16788, 269, 1280, 1383, 267, 27427, 2823, 476, 3199, 568, 519, 2823, 1031, 585, 15214, 3667, 18734, 16257, 630, 12487, 9143, 264, 543, 27427, 2823, 476, 4510, 274, 568, 519, 2823, 1031, 585, 15214, 3667, 18734, 16257, 24344, 630, 12487, 307, 4916, 1916, 1103, 4334, 267, 513, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12487, 9143, 630, 29730, 3667, 18734, 16257, 8358, 12487, 307, 4916, 257, 607, 851, 540, 834, 28035, 1315, 32730, 1315, 8416, 16257, 338, 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, 3848, 476, 1015, 281, 16844, 267, 24054, 267, 543, 29621, 630, 14701, 296, 264, 9024, 328, 2510, 1369, 32045, 1315, 13751, 4065, 692, 1103, 2221, 781, 6385, 4657, 1514, 5251, 267, 1876, 3506, 2066, 519, 4182, 616, 5051, 9301, 519, 2956, 540, 5807, 3309, 267, 12581, 267, 543, 8537, 5054, 269, 901, 3184, 12538, 883, 519, 1523, 540, 16692, 296, 7341, 267, 9691, 6313, 741, 4644, 267, 6388, 2994, 267, 1761, 2591, 267, 543, 4296, 547, 4207, 3656, 11407, 269, 3414, 6297, 2079, 540, 4540, 3332, 267, 2013, 2090, 267, 543, 7811, 10850, 267, 713, 24099, 1570, 6663, 547, 1683, 2104, 3656, 4648, 609, 513, 13857, 1620, 540, 16692, 296, 3741, 543, 2853, 780, 272, 269, 5853, 1049, 16610, 692, 272, 269, 272, 269, 20223, 16844, 267, 24054, 267, 543, 29621, 454, 6524, 25054, 2390, 513, 9488, 6514, 540, 16692, 296, 7341, 1369, 3656, 2069, 267, 621, 568, 1898, 1101, 547, 3715, 2324, 8847, 585, 891, 2474, 269, 2608, 291, 1751, 265, 4016, 547, 14344, 543, 18245, 3604, 1851, 2043, 3823, 5198, 267, 14940, 267, 4008, 3961, 267, 4638, 10066, 267, 14227, 4282, 267, 9659, 4567, 267, 2085, 267, 3909, 4978, 267, 543, 824, 2188, 269, 1452, 21441, 10802, 938, 2950, 676, 8744, 1927, 1585, 16752, 543, 2833, 267, 6038, 7393, 7104, 1966, 9010, 7207, 780, 763, 2165, 2608, 3225, 640, 24682, 598, 14287, 267, 18575, 4180, 4023, 2126, 267, 1569, 267, 4316, 267, 543, 13120, 1247, 20678, 547, 2697, 543, 9004, 7496, 602, 723, 13840, 25409, 27797, 12790, 2516, 269, 14936, 267, 2608, 514, 2424, 265, 3322, 8362, 2870, 22205, 5624, 1141, 3025, 7959, 12595, 267, 15197, 267, 543, 23518, 547, 7119, 4628, 538, 2146, 1272, 1510, 4250, 540, 14882, 610, 7130, 269, 1879, 5916, 267, 891, 1614, 3334, 1106, 519, 5748, 585, 7347, 16692, 296, 7341, 780, 272, 269, 273, 269, 8466, 12745, 783, 1436, 540, 16692, 296, 27557, 454, 8139, 519, 3140, 24598, 25751, 540, 2413, 16692, 296, 3646, 3340, 6284, 540, 2250, 31716, 543, 17181, 776, 2853, 11251, 1369, 1977, 2486, 269, 1280, 3236, 267, 11528, 10168, 814, 1279, 10419, 18050, 25641, 4507, 13389, 3979, 4892, 267, 7111, 4892, 267, 5824, 343, 5095, 267, 543, 7489, 4892, 269, 6684, 267, 3023, 1143, 543, 10636, 517, 768, 18356, 723, 3908, 3255, 585, 2021, 543, 11806, 266, 2043, 269, 1635, 5466, 891, 23543, 2212, 6823, 267, 3656, 7855, 666, 2253, 13167, 811, 8537, 21195, 543, 12250, 3889, 602, 3895, 3160, 6041, 543, 7589, 780, 273, 269, 23840, 11150, 585, 16692, 296, 9024, 328, 2510, 10738, 4521, 12140, 692, 273, 269, 272, 269, 15099, 5071, 543, 6092, 12474, 454, 14813, 6748, 16692, 296, 3741, 2429, 519, 6437, 19329, 18532, 5542, 543, 5610, 540, 4143, 2326, 14436, 540, 3309, 9739, 543, 5380, 269, 6270, 606, 1935, 7512, 2565, 6278, 609, 1950, 6848, 2152, 1247, 14237, 2686, 28671, 1983, 2556, 585, 2500, 3656, 2259, 269, 3958, 267, 6220, 16823, 11000, 3464, 689, 12926, 26173, 10080, 27875, 1053, 547, 513, 6626, 2039, 540, 23913, 1702, 267, 7551, 23429, 4928, 5717, 543, 9840, 780, 273, 269, 273, 269, 5589, 8816, 618, 543, 4825, 1549, 13756, 454, 2414, 2327, 3309, 11134, 20115, 1282, 12200, 17849, 3157, 267, 1876, 3506, 1590, 3479, 547, 14942, 19684, 3800, 13389, 11727, 23078, 689, 12790, 2950, 269, 5047, 267, 5238, 1058, 1902, 538, 30023, 3292, 2966, 547, 1489, 21738, 5640, 10188, 519, 26022, 3950, 267, 3976, 5009, 12802, 3928, 1851, 26173, 2516, 269, 7053, 267, 5356, 8013, 13180, 15004, 543, 1382, 7616, 3255, 666, 948, 4482, 1283, 13007, 1247, 15202, 513, 9758, 7029, 547, 16692, 296, 2418, 780, 273, 269, 274, 269, 28941, 8693, 543, 9177, 454, 17730, 606, 8537, 13464, 2528, 31963, 593, 5807, 2922, 5624, 1141, 1053, 267, 5234, 267, 543, 12200, 1745, 6899, 11589, 2933, 6461, 1227, 269, 18964, 1930, 5188, 1472, 6213, 3584, 267, 7598, 9186, 2866, 11925, 267, 543, 9591, 12477, 6127, 585, 8989, 13685, 540, 18275, 610, 7130, 13822, 2629, 3268, 2509, 8236, 713, 3804, 269, 5015, 267, 14120, 3309, 5389, 267, 14812, 267, 543, 6561, 3275, 5713, 547, 19472, 519, 9163, 543, 7418, 540, 13840, 12790, 2950, 780, 274, 269, 12694, 543, 2552, 7337, 625, 28259, 532, 16692, 296, 9024, 328, 2510, 692, 274, 269, 272, 269, 7982, 31988, 18830, 11879, 17813, 7869, 543, 13834, 8211, 1108, 454, 13146, 2797, 20116, 814, 642, 559, 1881, 10911, 307, 543, 13834, 8211, 1108, 267, 25194, 873, 607, 6937, 547, 2757, 1977, 2418, 543, 11180, 8155, 269, 1306, 513, 1267, 267, 930, 14519, 723, 8179, 547, 6615, 16692, 296, 5829, 5752, 538, 1857, 3872, 5468, 267, 1519, 918, 268, 1321, 3506, 543, 1533, 30845, 9945, 269, 1677, 6330, 891, 13253, 3927, 267, 3656, 7855, 1590, 2611, 21713, 1996, 5007, 12503, 1958, 549, 2286, 2390, 4081, 5191, 543, 2226, 535, 23474, 547, 4295, 5692, 6898, 10771, 13784, 267, 9698, 267, 543, 1514, 5126, 780, 274, 269, 273, 269, 21344, 3281, 7566, 9314, 338, 454, 1805, 686, 6362, 606, 6099, 3666, 1063, 12721, 4690, 4564, 1776, 1713, 4161, 6849, 16692, 296, 15156, 1369, 3656, 24243, 269, 1280, 1383, 267, 875, 1281, 835, 31363, 7569, 585, 2799, 6041, 609, 20519, 7095, 4441, 30176, 11826, 7214, 14374, 286, 18601, 971, 21140, 1419, 3340, 3860, 3435, 12082, 538, 5698, 267, 14207, 267, 543, 6024, 1582, 26190, 780, 275, 269, 8865, 5525, 31209, 532, 21988, 16692, 296, 9024, 328, 2510, 692, 275, 269, 272, 269, 2160, 540, 4993, 267, 11968, 13353, 3427, 540, 4521, 630, 10813, 6369, 4521, 264, 262, 338, 3689, 19087, 12333, 9906, 5358, 454, 1607, 11036, 7028, 1101, 22831, 1876, 1053, 1107, 1346, 4171, 3237, 1705, 711, 2347, 513, 2185, 4458, 2852, 4110, 1107, 676, 3246, 2200, 3358, 547, 741, 2189, 2115, 269, 7896, 1331, 4081, 1443, 2358, 267, 3318, 1646, 11925, 267, 9263, 29013, 267, 543, 2883, 5351, 13508, 267, 782, 6322, 693, 29103, 1359, 2875, 1967, 543, 2631, 540, 10362, 1369, 519, 17459, 6369, 4521, 2146, 780, 275, 269, 273, 269, 12370, 4521, 3427, 781, 8433, 540, 5398, 9314, 5917, 2358, 630, 8008, 8656, 994, 2026, 851, 540, 922, 5571, 7029, 547, 4129, 4328, 519, 3656, 3924, 267, 20525, 8656, 3091, 3875, 8593, 3298, 4721, 267, 14828, 267, 543, 10211, 23231, 618, 6351, 3292, 28110, 4724, 1053, 13197, 1857, 1719, 11678, 269, 1635, 10970, 11868, 2804, 24675, 2404, 609, 2539, 1790, 11691, 6009, 538, 519, 1857, 5823, 267, 891, 17008, 5512, 14971, 27192, 689, 8795, 14227, 10080, 547, 4497, 25006, 538, 1514, 5126, 960, 2022, 3766, 571, 706, 566, 780, 6962, 1384, 21615, 571, 1424, 16692, 296, 7341, 1369, 32045, 1315, 13751, 4065, 3788, 14063, 585, 14237, 5483, 267, 28450, 3656, 9439, 5827, 540, 7674, 606, 5051, 3309, 7817, 25279, 269, 3414, 3483, 995, 6437, 1374, 267, 6098, 19684, 3646, 267, 543, 13447, 539, 3007, 547, 13464, 2916, 267, 1876, 3506, 666, 4890, 1125, 741, 7029, 547, 13784, 543, 9698, 269, 1717, 267, 3257, 865, 19329, 13455, 28858, 1996, 5007, 6937, 5275, 547, 24183, 891, 6859, 543, 513, 18515, 547, 13720, 4835, 32475, 7915, 538, 13326, 12721, 4690, 269, 11086, 267, 8508, 16692, 296, 3741, 14767, 711, 1152, 547, 7794, 1367, 5238, 855, 849, 547, 6830, 1518, 519, 8699, 540, 519, 3656, 3924, 607, 513, 2898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15239, 935, 845, 640, 538, 606, 6520, 540, 7167, 527, 1637, 454, 5970, 596, 4862, 286, 19536, 585, 634, 20048, 1834, 540, 14451, 4065, 616, 7255, 269, 15020, 7255, 563, 2005, 7140, 856, 602, 711, 782, 12621, 543, 9945, 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 ]
[ 12430, 14691, 9046, 454, 7312, 9708, 616, 15645, 730, 454, 2237, 707, 5048, 1934, 10756, 23737, 1946, 1058, 581, 5340, 1354, 19142, 513, 4579, 267, 1548, 1813, 8920, 3394, 2483, 1432, 1813, 31806, 1058, 581, 5340, 1354, 19142, 513, 4579, 888, 23737, 3501, 6735, 267, 769, 799, 540, 519, 1739, 2344, 3889, 530, 334, 2483, 1103, 799, 540, 519, 1739, 2344, 3889, 1131, 2473, 268, 710, 11797, 581, 1034, 2693, 547, 2291, 286, 476, 272, 269, 17828, 6735, 476, 273, 269, 3933, 30496, 476, 274, 269, 744, 5554, 30496, 476, 275, 269, 3933, 641, 565, 2065, 6735, 454, 23737, 1826, 540, 7634, 267, 5261, 6762, 568, 606, 5393, 14547, 1303, 516, 1440, 2483, 19365, 6762, 568, 606, 5393, 14547, 16724, 945, 814, 11262, 1896, 4213, 269, 5261, 4421, 930, 540, 519, 4213, 1247, 1866, 8959, 543, 8694, 909, 538, 28153, 269, 4107, 2487, 331, 454, 23737, 3069, 540, 32226, 610, 7453, 15668, 267, 11629, 7585, 7137, 787, 2006, 4996, 2483, 19425, 3538, 7585, 7137, 787, 2006, 12349, 513, 3735, 2203, 1286, 689, 12049, 781, 16110, 4308, 11429, 269, 8422, 3275, 1310, 646, 12349, 519, 1286, 267, 646, 1185, 547, 5372, 1079, 540, 519, 18646, 1317, 646, 10443, 936, 18969, 454, 27855, 22988, 3257, 1870, 538, 19580, 267, 476, 272, 269, 4892, 3257, 1870, 538, 4429, 272, 269, 4892, 3257, 1870, 538, 3624, 269, 476, 273, 269, 1548, 616, 519, 5294, 543, 931, 540, 3257, 1870, 538, 3624, 286, 476, 274, 269, 1548, 2186, 540, 4640, 798, 519, 4457, 946, 286, 476, 275, 269, 16390, 585, 3257, 536, 18365, 625, 538, 3624, 269, 476, 276, 563, 23737, 1946, 798, 3549, 602, 14441, 741, 524, 338, 337, 4507, 267, 476, 272, 269, 4208, 798, 735, 320, 2483, 272, 269, 4208, 798, 3549, 602, 14441, 741, 11483, 305, 4507, 865, 1419, 3068, 3978, 27900, 19037, 476, 273, 269, 10576, 606, 1858, 538, 799, 11197, 568, 9833, 607, 3743, 547, 513, 30393, 454, 1432, 616, 519, 7440, 585, 607, 1996, 1514, 5539, 267, 1548, 616, 519, 513, 2483, 1432, 616, 519, 7440, 585, 543, 1996, 1514, 5539, 593, 519, 851, 540, 4213, 286, 7490, 538, 1840, 267, 799, 1305, 540, 7440, 568, 811, 8903, 888, 28097, 519, 7580, 2956, 540, 11768, 3664, 267, 9181, 519, 7580, 2483, 28097, 519, 7580, 2956, 540, 11768, 3664, 269, 1215, 1271, 607, 891, 3664, 538, 2474, 540, 513, 2754, 781, 1279, 3856, 20656, 3853, 286, 1548, 616, 930, 1806, 888, 27855, 875, 32260, 519, 4718, 568, 4294, 267, 11512, 875, 834, 3333, 541, 5155, 519, 4718, 257, 568, 513, 2483, 23737, 875, 834, 3333, 541, 5155, 519, 4718, 257, 568, 4294, 538, 519, 23625, 7974, 13870, 3590, 717, 15665, 19875, 630, 295, 580, 4554, 2298, 4267, 786, 2015, 20231, 540, 519, 1739, 264, 14674, 834, 3333, 541, 5155, 519, 4718, 454, 23737, 1434, 9746, 12504, 543, 5837, 8665, 267, 3040, 1684, 14078, 723, 513, 556, 2483, 1892, 1684, 14078, 723, 513, 5539, 547, 581, 513, 1434, 9746, 12504, 543, 5837, 8665, 286, 1548, 798, 891, 2474, 1611, 547, 596, 286, 3807, 1518, 707, 6644, 676, 3246, 1806, 269, 3040, 1403, 596, 530, 518, 454, 28398, 532, 12143, 6435, 454, 292, 21643, 12143, 6435, 454, 293, 12099, 12143, 6435, 454, 32417, 12143, 6435, 454, 30125, 12143, 6435, 454, 290, 13511, 12143, 6435, 454, 13043, 12143, 6435, 454, 289, 5735, 12143, 6435, 454, 12626, 12143, 6435, 454, 10048, 1771, 12143, 6435, 454, 25811, 1359, 12143, 6435, 454, 25284, 2719, 12143, 6435, 454, 20663, 3163, 12143, 6435, 454, 3963, 2974, 15017, 349, 2190, 343, 278, 31477, 8081, 454, 349, 26660, 540, 4518, 454, 349, 11742, 593, 24822, 454, 349, 7468, 643, 2329, 540, 4518, 454, 14549, 12754, 5004, 454, 24145, 1155, 5623, 5675, 6435, 454, 24404, 916, 1299, 17148, 454, 15648, 676, 20226, 21790, 8668, 12409, 623, 26404, 269, 13456, 269, 0, 22139, 9705, 543, 6576, 723, 1071, 345, 1221, 909, 547, 519, 2856, 540, 24625, 908, 593, 513, 1982, 585, 9018, 2230, 3408, 267, 2059, 609, 824, 6283, 543, 4123, 5829, 3785, 267, 2687, 547, 2789, 3377, 5359, 269, 623, 752, 5754, 517, 2672, 267, 1244, 14280, 2212, 540, 519, 3345, 11114, 9730, 540, 6611, 5303, 267, 5143, 513, 6739, 3377, 8116, 602, 519, 1079, 2477, 12479, 547, 2253, 519, 24845, 2230, 1382, 1982, 713, 1032, 269, 634, 1847, 1223, 2322, 5375, 7060, 593, 4585, 585, 8942, 676, 2901, 2197, 547, 3142, 8878, 5829, 5989, 547, 519, 3803, 20281, 563, 10454, 667, 11266, 298, 786, 1020, 14942, 9316, 538, 519, 12106, 540, 12560, 946, 540, 9018, 2230, 609, 4914, 3906, 543, 2477, 267, 1519, 6576, 267, 593, 3160, 543, 20102, 6225, 4493, 2437, 623, 752, 5143, 570, 19798, 593, 11016, 269, 834, 763, 667, 11266, 298, 2230, 1982, 814, 12560, 5301, 267, 543, 713, 2197, 267, 899, 6576, 267, 568, 1996, 2113, 10560, 1436, 540, 2230, 4799, 763, 772, 2529, 269, 2063, 3018, 1129, 4705, 922, 1719, 538, 24625, 908, 609, 6576, 543, 3624, 538, 519, 2361, 540, 3354, 538, 9018, 2230, 267, 570, 19798, 4080, 269, 7671, 589, 269, 14986, 267, 519, 772, 2529, 269, 13930, 23122, 585, 7916, 1852, 267, 19027, 543, 10220, 267, 6829, 6015, 602, 6576, 543, 3345, 9705, 1131, 711, 946, 2230, 3408, 607, 513, 4395, 585, 9604, 4152, 563, 24679, 568, 10257, 547, 8263, 602, 1034, 6082, 267, 952, 711, 782, 6082, 267, 1131, 1265, 621, 547, 581, 538, 741, 3084, 1719, 547, 2061, 4655, 689, 14178, 883, 2230, 267, 6616, 602, 971, 4655, 1131, 31358, 519, 6940, 540, 519, 2230, 1604, 267, 17225, 2104, 2230, 2861, 3621, 2238, 267, 543, 5732, 2569, 519, 2298, 540, 1272, 585, 16764, 593, 3047, 952, 519, 2640, 540, 2230, 2861, 3156, 941, 2144, 10757, 2223, 14986, 5143, 570, 19798, 693, 519, 5993, 6611, 32600, 538, 12548, 25951, 267, 12548, 267, 13628, 563, 305, 17892, 543, 3345, 9705, 723, 849, 8815, 547, 1628, 519, 1101, 8115, 585, 1286, 6808, 1063, 519, 1079, 2477, 267, 693, 513, 1747, 1141, 789, 2671, 513, 8473, 538, 519, 27040, 7944, 540, 3345, 9705, 269, 634, 1007, 8115, 1131, 12732, 2066, 519, 570, 18210, 5211, 543, 581, 5097, 1031, 585, 6517, 543, 824, 6283, 2115, 267, 2687, 547, 513, 772, 18444, 1867, 269, 1703, 568, 4867, 513, 7841, 8115, 8220, 6576, 543, 3345, 9705, 547, 3560, 6517, 543, 824, 5370, 1063, 519, 1079, 2477, 563, 305, 11701, 8387, 1767, 519, 1544, 729, 11058, 3481, 547, 2333, 24845, 5385, 543, 9235, 538, 513, 2027, 2804, 7997, 538, 519, 6739, 10787, 5101, 602, 8188, 519, 3345, 11114, 2749, 540, 681, 1783, 269, 634, 2477, 616, 849, 2324, 593, 23478, 6739, 1379, 547, 3345, 11114, 2872, 2282, 519, 8473, 269, 634, 6283, 4566, 2097, 6619, 540, 3345, 11114, 6205, 13690, 808, 784, 1133, 781, 3643, 547, 18293, 593, 2904, 476, 280, 267, 772, 18444, 4080, 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 ]
[ 0, 14483, 17136, 9137, 17593, 338, 454, 310, 5793, 476, 1708, 273, 267, 5292, 269, 476, 5655, 269, 275, 454, 1892, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 454, 29378, 4826, 1811, 543, 519, 21940, 2456, 540, 519, 4279, 26111, 454, 1103, 519, 5756, 3056, 909, 547, 519, 6406, 2782, 267, 1977, 8387, 3964, 2789, 31681, 593, 519, 7178, 4871, 540, 519, 16713, 5211, 543, 1031, 621, 547, 1642, 574, 527, 2244, 585, 4095, 31203, 269, 1358, 4397, 519, 2647, 16713, 547, 2270, 7087, 9082, 538, 519, 4279, 26111, 547, 519, 7178, 540, 519, 5757, 267, 12270, 873, 689, 3043, 13896, 593, 519, 7532, 4871, 269, 8616, 2429, 713, 1974, 267, 13961, 537, 534, 18702, 9082, 538, 519, 3844, 26111, 1765, 25537, 21036, 267, 744, 1729, 324, 267, 543, 7323, 537, 6319, 9082, 1765, 325, 4454, 547, 27481, 741, 12445, 2924, 593, 519, 5757, 543, 8190, 1569, 547, 4630, 601, 1343, 593, 922, 7532, 2427, 269, 2037, 4289, 532, 7087, 4044, 1049, 4066, 267, 789, 4797, 10707, 593, 519, 5757, 543, 15354, 14578, 593, 922, 7532, 4871, 267, 1141, 789, 5645, 856, 10122, 30295, 2059, 9456, 29815, 2456, 883, 22070, 16713, 543, 7262, 19578, 543, 21947, 7980, 543, 13896, 12394, 547, 17997, 519, 5757, 10465, 540, 4095, 24540, 269, 769, 3257, 865, 267, 15345, 1695, 553, 267, 744, 1729, 525, 267, 543, 16713, 553, 13455, 741, 1378, 2620, 12583, 540, 10688, 543, 2792, 593, 7087, 25825, 602, 838, 10165, 1977, 6302, 538, 519, 4279, 26111, 269, 901, 2376, 9607, 875, 789, 5706, 539, 1977, 6392, 2066, 519, 16713, 24659, 538, 519, 2038, 547, 4571, 5991, 12078, 2540, 563, 2690, 636, 281, 634, 7698, 17148, 540, 16024, 2103, 262, 8534, 454, 7093, 2183, 281, 634, 7698, 17148, 540, 16024, 2103, 262, 8534, 454, 12663, 645, 269, 27963, 842, 9655, 267, 20435, 3026, 655, 267, 25014, 3821, 932, 641, 11017, 681, 2292, 454, 10907, 27854, 4260, 11594, 7048, 593, 1004, 945, 25058, 741, 942, 543, 6791, 547, 5885, 519, 2504, 540, 3140, 14172, 538, 3309, 5238, 24568, 21517, 543, 8021, 267, 9945, 543, 15882, 267, 3318, 3906, 543, 741, 19014, 267, 543, 13746, 543, 2046, 525, 269, 901, 3060, 568, 1950, 267, 2943, 693, 922, 4295, 621, 3217, 585, 11292, 519, 6228, 540, 3173, 609, 519, 942, 267, 2200, 267, 543, 24539, 547, 3132, 1007, 14172, 269, 2060, 519, 7771, 540, 2757, 4081, 3889, 267, 824, 2081, 616, 2877, 547, 1489, 543, 7520, 519, 2504, 540, 1702, 563, 1103, 1686, 267, 607, 538, 782, 10459, 267, 14172, 814, 936, 519, 2250, 1896, 5756, 1044, 8032, 5051, 676, 519, 11944, 540, 1018, 814, 1044, 1572, 834, 659, 27854, 16851, 2437, 799, 814, 18534, 9464, 9945, 538, 13076, 609, 2344, 7954, 543, 2344, 14422, 269, 901, 1931, 568, 6353, 1034, 12667, 569, 676, 519, 11944, 540, 513, 1062, 540, 22880, 543, 2810, 8635, 1063, 513, 5266, 29341, 12102, 540, 5238, 543, 20485, 267, 2933, 24323, 21630, 543, 14850, 773, 3022, 267, 543, 513, 3395, 2527, 602, 19330, 519, 3354, 543, 2200, 547, 4497, 538, 14172, 269, 634, 4417, 540, 4081, 16851, 543, 519, 3702, 550, 536, 604, 584, 322, 566, 543, 32756, 540, 519, 7548, 5573, 543, 519, 21324, 540, 922, 1379, 543, 2175, 540, 960, 23366, 723, 513, 7096, 1764, 593, 945, 13788, 519, 3924, 267, 593, 945, 786, 4001, 543, 2328, 1686, 543, 267, 6038, 267, 593, 1018, 543, 4171, 12583, 786, 581, 6594, 269, 1280, 519, 1101, 942, 538, 1082, 5756, 12206, 949, 991, 547, 17854, 547, 1312, 938, 1053, 543, 519, 6626, 1857, 711, 1152, 938, 1318, 543, 5539, 547, 3313, 1018, 13054, 3140, 1702, 855, 849, 519, 1360, 6228, 540, 938, 9015, 607, 1945, 824, 982, 519, 538, 1529, 322, 566, 540, 13348, 5328, 543, 2686, 2418, 269, 769, 1039, 2005, 542, 267, 519, 7954, 540, 4081, 16851, 267, 609, 922, 9750, 26409, 540, 12200, 960, 543, 922, 2566, 593, 7893, 267, 4879, 267, 543, 3067, 2305, 267, 814, 14593, 3025, 547, 581, 811, 8013, 543, 5059, 593, 7607, 269, 1452, 7835, 10460, 513, 2101, 3463, 711, 1152, 547, 519, 4081, 5191, 540, 1367, 5640, 855, 547, 14172, 3294, 563, 9989, 519, 12197, 2677, 2925, 3776, 4518, 888, 1103, 519, 2136, 2276, 543, 538, 1082, 824, 4025, 1472, 519, 1158, 267, 519, 3119, 4074, 2783, 5935, 14046, 2504, 568, 519, 6385, 1673, 574, 514, 5109, 1297, 540, 26022, 13652, 1188, 610, 6697, 7158, 602, 2688, 3320, 6462, 5640, 538, 713, 960, 269, 2755, 972, 616, 930, 3268, 519, 808, 2207, 1223, 1491, 547, 1118, 621, 4443, 543, 811, 14785, 585, 1346, 2324, 1510, 713, 1489, 547, 2671, 741, 1382, 267, 3268, 602, 1131, 849, 948, 26022, 13652, 1188, 5640, 538, 896, 9113, 712, 1027, 7158, 267, 789, 786, 711, 1118, 909, 585, 519, 1702, 2504, 602, 5170, 547, 581, 4503, 609, 519, 12900, 540, 4081, 17849, 269, 1403, 649, 7287, 513, 14762, 2361, 267, 7104, 2962, 568, 519, 1152, 2619, 547, 513, 1279, 3856, 3070, 563, 26944, 2103, 991, 942, 267, 2724, 267, 543, 2146, 547, 1489, 741, 1382, 267, 1603, 267, 543, 14046, 2504, 269, 7316, 666, 12206, 2490, 547, 1205, 519, 948, 789, 991, 547, 3132, 1568, 540, 14046, 1686, 607, 782, 855, 519, 1034, 16918, 9945, 6521, 2476, 689, 3246, 26022, 13652, 1188, 7158, 543, 1382, 1489, 286, 1548, 666, 14046, 3906, 899, 519, 5980, 585, 16024, 2103, 540, 519, 7216, 1977, 6243, 798, 547, 1489, 1346, 945, 6999, 547, 11654, 14046, 960, 855, 1265, 2933, 2324, 538, 9207, 6269, 9285, 7158, 610, 3544, 540, 519, 30028, 286, 901, 1557, 7710, 2093, 585, 875, 14046, 3906, 666, 1732, 1489, 543, 948, 741, 2818, 3132, 14172, 543, 1331, 873, 538, 14046, 13629, 543, 9263, 2689, 563, 27832, 976, 689, 519, 5729, 1510, 19964, 454, 1607, 1557, 12116, 519, 9465, 547, 14046, 2504, 5185, 676, 1686, 16929, 3544, 540, 519, 26022, 3950, 269, 634, 2278, 13187, 602, 519, 2518, 17522, 540, 4081, 960, 3361, 676, 519, 13044, 268, 866, 6855, 32514, 919, 930, 540, 891, 7293, 7496, 267, 543, 2523, 519, 1909, 540, 10462, 827, 2104, 7694, 269, 634, 1557, 1287, 12134, 2436, 930, 540, 519, 22581, 6035, 1282, 519, 6855, 1223, 581, 9862, 547, 948, 7755, 9417, 338, 543, 824, 20314, 550, 12200, 3565, 547, 519, 3140, 9015, 543, 15476, 811, 3312, 1382, 563, 13420, 640, 543, 16949, 281, 18623, 1222, 1310, 5046, 268, 866, 454, 1607, 1557, 13187, 602, 538, 1931, 547, 1489, 4797, 14046, 7607, 1851, 21738, 12206, 12200, 543, 4081, 3401, 1590, 12840, 547, 23590, 26022, 543, 13319, 4808, 609, 606, 9698, 14820, 543, 1711, 2799, 3255, 585, 7471, 14172, 563, 14276, 12206, 543, 3140, 3705, 1562, 616, 1419, 29144, 676, 4081, 12206, 269, 1358, 3068, 2591, 971, 607, 741, 960, 1373, 896, 1998, 4240, 543, 1373, 24598, 4660, 269, 3414, 2123, 1995, 827, 519, 8313, 540, 513, 1957, 602, 10816, 3022, 519, 1857, 543, 4081, 1686, 4610, 267, 519, 2278, 6257, 2081, 1352, 11099, 519, 4610, 1223, 19467, 811, 547, 519, 4324, 540, 711, 1152, 12206, 267, 855, 519, 2489, 1857, 607, 1134, 563, 763, 15167, 281, 2201, 519, 10020, 540, 8466, 5081, 7724, 267, 19964, 267, 543, 3194, 23905, 454, 1607, 2376, 8039, 519, 1909, 540, 3140, 7239, 543, 8021, 538, 5885, 14046, 11001, 269, 898, 15109, 6855, 5736, 10124, 543, 3681, 585, 2104, 1489, 563, 763, 2637, 773, 543, 519, 570, 2651, 281, 13317, 1143, 538, 519, 7216, 1977, 6243, 454, 11990, 700, 4768, 6308, 700, 1513, 517, 454, 1607, 1557, 8039, 519, 3646, 540, 2413, 12206, 547, 2491, 519, 4473, 543, 1646, 540, 16851, 538, 519, 2038, 2136, 2276, 269, 10705, 10924, 547, 581, 24190, 609, 9111, 543, 5191, 267, 16851, 607, 513, 1062, 540, 1514, 543, 2804, 3919, 814, 4843, 12206, 609, 606, 4612, 633, 14196, 1765, 24175, 2248, 539, 676, 519, 782, 4288, 547, 834, 1492, 1024, 773, 543, 519, 512, 2651, 1701, 634, 3638, 2351, 25086, 689, 519, 476, 736, 628, 543, 2038, 476, 2641, 560, 5553, 568, 23500, 1934, 563, 763, 674, 14709, 540, 7169, 281, 7338, 17659, 12064, 25941, 2401, 543, 519, 700, 5819, 626, 9650, 538, 513, 14891, 6520, 676, 590, 269, 8845, 30323, 17243, 630, 516, 1613, 994, 299, 785, 25669, 5576, 2586, 22138, 1234, 613, 548, 267, 26701, 514, 744, 262, 1962, 817, 650, 11860, 5285, 534, 267, 13983, 1375, 17793, 10045, 454, 23219, 11071, 543, 8298, 2524, 2059, 519, 2475, 1700, 4692, 6598, 27079, 1282, 519, 2782, 540, 476, 8687, 273, 676, 18332, 667, 880, 2006, 630, 516, 1613, 994, 25811, 1359, 28841, 281, 634, 772, 2529, 269, 8136, 543, 9483, 4886, 267, 476, 9965, 278, 1700, 5908, 271, 676, 5261, 667, 269, 1520, 2401, 630, 516, 1613, 994, 4517, 4319, 808, 269, 645, 269, 674, 698, 531, 454, 4002, 22453, 1530, 553, 281, 634, 2475, 13108, 538, 519, 12722, 1014, 16527, 676, 19863, 324, 7137, 4209, 630, 516, 1613, 994, 305, 2526, 966, 2888, 281, 1215, 519, 14358, 540, 16962, 543, 3571, 2552, 18556, 2456, 4347, 1441, 519, 7216, 1977, 6243, 1196, 269, 676, 28545, 514, 589, 269, 717, 880, 543, 12448, 645, 756, 2421, 630, 516, 1613, 994, 291, 6130, 589, 269, 7439, 6229, 454, 5472, 585, 23068, 281, 634, 4077, 31760, 4518, 5264, 32013, 31052, 542, 540, 476, 7277, 280, 676, 11518, 853, 4459, 1633, 630, 516, 1613, 994, 28061, 589, 269, 5576, 4141, 653, 1676, 454, 288, 9605, 13852, 538, 519, 12815, 281, 634, 16713, 19822, 693, 476, 1220, 281, 5375, 26913, 267, 2817, 6764, 21692, 1196, 269, 676, 11518, 9445, 700, 269, 17131, 2917, 543, 3627, 30621, 30623, 1180, 630, 516, 1613, 994, 307, 709, 1076, 540, 519, 2622, 281, 26913, 543, 7276, 538, 519, 6520, 540, 13317, 676, 2098, 778, 590, 749, 630, 516, 1613, 994, 23991, 267, 26913, 267, 543, 11146, 538, 519, 7216, 1977, 6243, 281, 634, 10749, 540, 3967, 31130, 11066, 1196, 269, 676, 31550, 645, 1329, 18450, 267, 1323, 6339, 974, 23583, 268, 3725, 539, 267, 543, 8834, 590, 269, 2201, 18860, 630, 516, 1613, 994, 25567, 320, 781, 16241, 9061, 30030, 281, 18321, 543, 7991, 538, 519, 24021, 29268, 676, 15537, 570, 269, 918, 529, 1088, 630, 516, 1613, 994, 25187, 538, 1977, 20051, 17346, 281, 5783, 2598, 23002, 543, 6406, 16958, 538, 17996, 267, 476, 9965, 271, 1700, 7277, 276, 676, 11518, 9445, 7338, 31473, 630, 516, 1613, 994, 4517, 16699, 590, 269, 20242, 9469, 454, 763, 8061, 5050, 29277, 281, 15740, 781, 8109, 3557, 6755, 527, 550, 10706, 543, 519, 17959, 540, 3013, 781, 7073, 6755, 531, 3590, 267, 476, 6245, 273, 1700, 4489, 274, 676, 12891, 2917, 570, 269, 11676, 514, 630, 516, 1613, 994, 19853, 10318, 1588, 547, 3816, 664, 281, 589, 31180, 7991, 781, 18650, 547, 519, 20417, 540, 570, 8986, 538, 3345, 10491, 676, 700, 766, 5682, 630, 516, 1613, 994, 23210, 853, 269, 8402, 281, 23721, 267, 12745, 338, 267, 543, 22684, 1196, 269, 676, 20289, 27707, 4802, 267, 7917, 7812, 24261, 8124, 267, 543, 8834, 808, 269, 918, 770, 528, 630, 516, 1613, 994, 9617, 514, 631, 269, 2961, 2651, 454, 26199, 4892, 281, 769, 3685, 267, 5303, 267, 543, 2817, 14740, 676, 19626, 645, 4920, 517, 630, 516, 1613, 994, 2704, 6975, 808, 269, 932, 675, 12848, 454, 763, 17510, 25890, 281, 1323, 1977, 3778, 676, 19626, 808, 269, 21942, 630, 516, 1613, 994, 763, 3690, 25728, 1581, 1235, 543, 4256, 2622, 676, 7917, 589, 269, 24162, 630, 516, 1613, 994, 293, 15903, 538, 11470, 281, 634, 21964, 540, 11470, 538, 519, 7216, 2136, 2276, 676, 7338, 918, 14535, 12127, 630, 516, 1613, 994, 19340, 1765, 24127, 476, 5655, 267, 476, 1708, 273, 0, 9617, 607, 3106, 4966, 267, 9777, 2209, 543, 1876, 11268, 8387, 1205, 513, 6023, 593, 835, 22247, 2259, 267, 513, 1007, 8594, 14380, 909, 547, 6370, 585, 938, 3007, 269, 589, 5619, 5342, 676, 3557, 12426, 814, 3254, 602, 513, 3152, 1297, 540, 10256, 982, 2479, 1354, 723, 17019, 17774, 532, 519, 5680, 1247, 6117, 269, 6270, 26531, 6117, 5615, 10460, 513, 3978, 1981, 543, 7494, 3986, 519, 10171, 540, 606, 8009, 563, 763, 2259, 267, 5219, 547, 607, 968, 2171, 25290, 892, 676, 519, 1762, 10256, 945, 1034, 1419, 4497, 538, 519, 2259, 267, 814, 24111, 689, 476, 3066, 2600, 540, 1762, 10256, 538, 476, 1220, 280, 547, 476, 4366, 2600, 540, 971, 10256, 538, 476, 1001, 273, 269, 21661, 782, 2085, 2516, 267, 1210, 519, 5985, 5680, 1247, 6117, 814, 24111, 689, 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 ]
[ 883, 519, 3618, 2636, 18433, 2103, 547, 3500, 2275, 809, 30362, 16469, 543, 13035, 3597, 5388, 2394, 19870, 269, 1306, 17631, 5293, 998, 4123, 11507, 267, 789, 4718, 9522, 15077, 538, 2962, 543, 3576, 519, 4480, 1753, 609, 873, 269, 4935, 267, 9748, 540, 2295, 344, 12403, 338, 543, 737, 629, 10849, 3262, 1472, 519, 5664, 5101, 780, 2026, 596, 1294, 267, 1250, 2370, 22730, 267, 3006, 1114, 4529, 4947, 1927, 5932, 9059, 1765, 18034, 538, 519, 10051, 256, 1635, 1565, 827, 519, 29515, 1764, 593, 5664, 8109, 11951, 267, 649, 4126, 596, 1745, 9415, 547, 2119, 1007, 1919, 267, 5660, 3309, 10080, 267, 543, 6148, 6427, 707, 1378, 32727, 696, 1190, 535, 16272, 14693, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 18310, 715, 1410, 639, 454, 3528, 14181, 515, 518, 1744, 12609, 269, 3690, 3836, 676, 5842, 329, 11535, 20144, 752, 531, 563, 21812, 281, 31919, 25655, 630, 1001, 280, 994, 763, 2278, 267, 513, 19023, 19784, 609, 606, 1202, 3187, 779, 5133, 593, 519, 6418, 25029, 540, 519, 13605, 8932, 2229, 267, 607, 1134, 593, 607, 519, 1279, 31474, 626, 1202, 4026, 1890, 267, 824, 2442, 909, 5142, 902, 267, 543, 519, 1279, 1533, 540, 6595, 267, 12116, 1079, 24360, 5756, 602, 8032, 1459, 6377, 18310, 269, 1261, 17613, 602, 519, 25680, 2175, 540, 6710, 543, 15746, 26354, 27693, 849, 6273, 519, 7029, 547, 519, 2197, 779, 1914, 19205, 7004, 269, 10558, 532, 1271, 5515, 689, 15438, 547, 30280, 547, 1699, 13605, 8932, 543, 4095, 3401, 267, 646, 23607, 741, 4205, 543, 9757, 5107, 538, 1018, 2968, 513, 1788, 540, 4182, 2679, 563, 10527, 2278, 19262, 7249, 17894, 585, 1818, 713, 1360, 16367, 1353, 3015, 547, 513, 9962, 3988, 1222, 269, 31218, 634, 1433, 568, 23939, 4843, 543, 2306, 4241, 2542, 1848, 630, 305, 1690, 27958, 21502, 320, 267, 3162, 5607, 3194, 994, 2080, 332, 12112, 517, 517, 281, 589, 23397, 454, 3528, 6307, 572, 9473, 2946, 269, 3690, 3836, 689, 519, 3943, 676, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 5664, 8109, 1315, 29515, 14118, 1878, 593, 5664, 8109, 28690, 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, 769, 1931, 547, 4628, 1174, 519, 4644, 540, 519, 1349, 3177, 267, 621, 568, 1271, 547, 1101, 2263, 519, 1523, 540, 1977, 3961, 543, 875, 621, 814, 7960, 2429, 1686, 269, 2311, 922, 4295, 267, 1977, 3961, 568, 3989, 676, 513, 1305, 540, 3838, 4978, 267, 2418, 267, 543, 2686, 2853, 602, 723, 1044, 8032, 676, 519, 2197, 779, 2189, 3140, 18330, 269, 901, 2882, 2609, 971, 607, 9111, 267, 1367, 1143, 267, 543, 513, 7029, 547, 5191, 543, 7862, 269, 1717, 267, 891, 16431, 723, 1419, 11478, 538, 8082, 609, 824, 3344, 540, 1977, 2486, 267, 1519, 10168, 267, 30542, 22785, 267, 543, 2804, 8635, 780, 3080, 1883, 2460, 540, 1977, 3961, 602, 568, 3226, 4143, 547, 519, 1349, 568, 519, 1909, 540, 20835, 543, 5647, 269, 634, 968, 295, 30139, 1512, 29426, 6891, 892, 5018, 538, 519, 8574, 4016, 547, 519, 2856, 602, 4892, 723, 513, 1880, 13007, 585, 5876, 267, 1981, 23824, 267, 543, 1966, 9010, 950, 621, 2501, 547, 1870, 26136, 269, 901, 10206, 814, 2620, 5072, 538, 1977, 2528, 267, 6580, 1394, 547, 519, 7810, 5736, 950, 13896, 8179, 547, 1286, 557, 856, 513, 1007, 1272, 538, 513, 5318, 543, 2150, 3139, 19069, 269, 3683, 942, 267, 713, 21722, 6891, 3357, 547, 581, 2404, 609, 7907, 899, 1582, 3146, 18910, 267, 2182, 960, 267, 543, 27265, 267, 782, 540, 799, 3136, 547, 3337, 1977, 3961, 2221, 780, 763, 1249, 602, 713, 29426, 6891, 568, 1631, 1373, 9976, 543, 10114, 3293, 1851, 594, 308, 620, 30282, 1472, 519, 1158, 14753, 547, 1776, 1271, 10155, 540, 1977, 3961, 281, 519, 2197, 779, 32618, 2245, 540, 11776, 543, 2518, 6278, 269, 3245, 519, 9998, 2395, 540, 3864, 11175, 267, 3013, 814, 1044, 513, 11275, 585, 1004, 5275, 4316, 267, 5191, 267, 543, 513, 1732, 1272, 269, 4653, 267, 713, 9371, 5170, 547, 1404, 856, 538, 1950, 2081, 267, 607, 6634, 540, 11082, 543, 741, 18939, 3565, 547, 1977, 2486, 1247, 849, 4509, 2673, 13218, 547, 741, 2477, 540, 5169, 780, 1103, 519, 2796, 540, 519, 1349, 267, 713, 6422, 568, 30833, 676, 519, 9525, 540, 594, 308, 779, 6789, 292, 3198, 543, 3127, 19835, 3118, 13646, 538, 16475, 1357, 21577, 602, 1921, 1376, 5346, 11639, 543, 14679, 3854, 1235, 2066, 10665, 269, 1635, 8744, 1927, 8470, 1235, 689, 1114, 2694, 540, 519, 1158, 267, 891, 2621, 5031, 1312, 519, 4763, 543, 25872, 540, 519, 2518, 23492, 5117, 269, 1358, 849, 20838, 519, 2956, 540, 3444, 14426, 5188, 543, 9316, 538, 5807, 5647, 543, 6117, 2804, 2208, 780, 4263, 519, 1482, 942, 267, 2705, 267, 621, 568, 4502, 15663, 602, 713, 2186, 540, 2518, 6278, 666, 849, 6318, 2352, 2055, 827, 1379, 6384, 267, 6041, 267, 543, 9698, 269, 1280, 1383, 267, 945, 4991, 547, 7119, 538, 891, 1357, 21577, 267, 543, 593, 1018, 2474, 286, 1215, 616, 3664, 1500, 827, 799, 2093, 543, 3785, 4309, 7616, 543, 1489, 267, 543, 945, 2640, 630, 528, 19380, 856, 264, 607, 513, 1267, 286, 1656, 875, 798, 2152, 540, 5198, 267, 4008, 267, 543, 22874, 12969, 609, 6626, 3270, 540, 1514, 543, 2804, 32756, 2496, 4322, 616, 1950, 2152, 602, 2154, 6297, 7156, 543, 5571, 8086, 269, 8616, 789, 616, 849, 1898, 547, 21679, 609, 952, 649, 616, 547, 5963, 1174, 519, 15491, 2470, 540, 1977, 3961, 538, 519, 8938, 23867, 2540, 269, 6787, 2938, 607, 513, 3196, 585, 3356, 267, 513, 2707, 540, 6498, 267, 610, 1945, 538, 1063, 267, 972, 568, 1100, 27102, 602, 519, 14208, 657, 1512, 29426, 6891, 3788, 513, 3532, 543, 22298, 3090, 540, 1977, 20440, 267, 6043, 267, 543, 7872, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 1007, 11036, 538, 5698, 609, 594, 308, 20764, 999, 543, 519, 594, 308, 1325, 30282, 5948, 13976, 13123, 543, 8843, 1702, 543, 4296, 1063, 594, 308, 781, 3486, 620, 30282, 11639, 543, 14679, 3854, 1235, 563, 1103, 5614, 476, 1708, 271, 267, 519, 6789, 292, 3198, 543, 3127, 19835, 3118, 13646, 3459, 513, 1357, 14373, 3126, 8220, 1376, 5346, 11639, 543, 14679, 3854, 1235, 547, 5385, 741, 2833, 543, 16752, 593, 519, 2872, 269, 19937, 1235, 3769, 594, 308, 620, 30282, 4460, 31928, 655, 2335, 689, 3127, 270, 1320, 16233, 267, 14863, 328, 7799, 753, 889, 549, 1729, 689, 12868, 267, 4880, 7534, 570, 2801, 577, 987, 11446, 21105, 689, 17289, 267, 667, 756, 2125, 13850, 9655, 689, 14135, 543, 15445, 10615, 540, 594, 308, 19664, 8416, 26778, 18724, 2284, 1759, 538, 2349, 334, 4040, 2023, 267, 18518, 563, 10454, 14208, 657, 1512, 29426, 6891, 568, 2178, 11451, 543, 938, 2319, 693, 594, 308, 20764, 999, 729, 25981, 547, 948, 2697, 543, 1489, 519, 2208, 540, 713, 4656, 5859, 269, 1452, 3355, 2621, 616, 2870, 513, 3760, 585, 2104, 2518, 6278, 799, 649, 4126, 2337, 3025, 2611, 4448, 1394, 547, 519, 13464, 1141, 789, 12236, 741, 5232, 2543, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 2136, 2276, 1315, 4937, 1315, 1977, 14740, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2461, 3843, 547, 8936, 513, 7168, 4837, 23732, 547, 707, 1007, 5068, 2203, 1286, 585, 707, 4015, 269, 2334, 4992, 899, 513, 1187, 4739, 256, 1809, 594, 917, 875, 2182, 621, 666, 581, 547, 1265, 519, 1318, 15441, 585, 971, 8966, 2326, 269, 5620, 596, 2219, 827, 1018, 2186, 540, 15441, 547, 946, 2496, 7692, 281, 19743, 7705, 256, 23010, 267, 594, 729, 1175, 3168, 2228, 585, 930, 5796, 269, 1703, 3100, 547, 581, 865, 1082, 5079, 267, 543, 594, 1616, 547, 1118, 2386, 594, 4584, 519, 1655, 835, 780, 8334, 281, 4279, 3206, 256, 6969, 7446, 513, 15441, 267, 1577, 779, 1101, 1589, 827, 519, 2326, 649, 2461, 2324, 609, 269, 3657, 1312, 519, 4837, 543, 5068, 4773, 5347, 610, 798, 789, 723, 11315, 7252, 286, 901, 1223, 1860, 875, 1134, 519, 15441, 16853, 780, 7692, 281, 7937, 267, 1434, 1448, 256, 634, 5068, 568, 4990, 540, 1257, 3293, 267, 855, 519, 4837, 568, 1360, 5347, 780, 2704, 322, 773, 281, 28514, 267, 1287, 649, 1522, 991, 513, 2178, 23287, 602, 666, 6125, 19514, 7252, 269, 4746, 267, 2015, 2436, 519, 3615, 786, 1995, 1022, 2566, 1310, 1373, 7923, 1107, 899, 952, 519, 1286, 7575, 1472, 513, 2603, 543, 695, 1389, 519, 4837, 4062, 269, 1403, 865, 267, 1413, 585, 513, 15441, 4481, 1500, 585, 5230, 1673, 14280, 946, 780, 7692, 281, 20944, 621, 256, 1924, 1945, 19756, 1131, 960, 1655, 2094, 1250, 1286, 3006, 20061, 1055, 1250, 15808, 950, 594, 29424, 883, 621, 269, 1548, 827, 15018, 942, 286, 1215, 1279, 1058, 594, 7227, 1354, 7829, 519, 5916, 1843, 2496, 8334, 281, 13259, 267, 5140, 2243, 256, 667, 11538, 942, 9775, 1063, 2472, 267, 865, 1224, 519, 10297, 5402, 269, 2368, 1350, 1132, 1491, 1152, 3764, 547, 3819, 267, 1247, 1866, 991, 3108, 610, 1256, 2395, 547, 10826, 4625, 269, 1411, 1810, 1406, 1616, 547, 19060, 621, 1317, 513, 4617, 6125, 1223, 1267, 538, 7745, 2694, 780, 7692, 281, 9406, 267, 9639, 568, 1883, 1934, 269, 594, 7058, 1210, 513, 2656, 1673, 787, 15441, 4465, 1406, 948, 1454, 952, 621, 3085, 1406, 3180, 9244, 2614, 269, 1635, 519, 1259, 267, 1281, 621, 2339, 952, 594, 5905, 519, 1350, 4240, 1858, 1247, 7996, 585, 621, 547, 3819, 2496, 8334, 281, 898, 5673, 593, 519, 1826, 540, 15441, 269, 13575, 6340, 267, 2119, 547, 2057, 15700, 519, 1350, 4240, 2627, 2394, 621, 814, 4628, 23174, 269, 6884, 267, 11041, 689, 938, 2960, 666, 15936, 609, 519, 16345, 1184, 269, 3807, 1246, 519, 5528, 3177, 676, 519, 10672, 780, 7692, 281, 8729, 585, 782, 519, 5363, 4388, 267, 7705, 256, 594, 1745, 811, 8746, 1631, 538, 4466, 519, 3501, 15441, 585, 1250, 1788, 780, 8334, 281, 3143, 1966, 267, 6126, 547, 948, 256, 5457, 267, 2921, 707, 942, 543, 6236, 1585, 2188, 786, 1291, 547, 513, 3811, 6125, 1063, 1346, 2189, 2326, 269, 6153, 9939, 267, 543, 594, 666, 1406, 7227, 547, 1294, 707, 8737, 5137, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2811, 3168, 585, 519, 1655, 15441, 585, 1140, 2286, 4837, 547, 5068, 267, 596, 4312, 2097, 547, 519, 1318, 1747, 269, 15531, 519, 1318, 23287, 666, 581, 513, 4161, 267, 607, 972, 616, 3875, 3681, 2139, 593, 519, 2344, 269, 1717, 267, 609, 930, 6297, 7156, 543, 1382, 267, 596, 666, 2327, 602, 596, 3442, 513, 15441, 602, 3927, 7554, 4837, 547, 5068, 563, 6524, 9140, 1022, 15441, 585, 713, 1808, 4305, 267, 972, 616, 1896, 2188, 602, 596, 1058, 2015, 269, 17616, 267, 621, 781, 1271, 547, 2708, 519, 2326, 596, 2811, 2324, 609, 269, 7756, 2010, 540, 15229, 543, 4837, 949, 2154, 1114, 2010, 540, 23287, 269, 3958, 267, 2015, 519, 1808, 3498, 543, 519, 1377, 540, 4222, 543, 15006, 2838, 269, 2368, 14398, 1161, 949, 581, 1732, 14018, 585, 1769, 1673, 14280, 3156, 267, 1247, 1866, 616, 2966, 585, 5230, 1673, 14280, 946, 563, 2691, 8939, 513, 15441, 267, 621, 781, 849, 1898, 547, 2015, 519, 15018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3592, 782, 2244, 568, 4371, 538, 13927, 2241, 543, 713, 568, 607, 2673, 607, 835, 666, 1205, 547, 6207, 9562, 538, 1455, 1876, 563, 288, 1106, 540, 26022, 896, 519, 32540, 1062, 602, 1223, 1152, 581, 11843, 547, 513, 1899, 531, 13956, 656, 269, 1403, 972, 941, 1100, 1899, 531, 18939, 2390, 519, 2669, 540, 519, 4557, 656, 267, 519, 2244, 26871, 1540, 1394, 547, 519, 18459, 563, 288, 3978, 6760, 585, 799, 519, 10751, 568, 7890, 585, 811, 982, 513, 1032, 610, 2669, 269, 9197, 1307, 540, 1447, 8904, 616, 1572, 3765, 12047, 6756, 832, 269, 901, 2165, 568, 1100, 3476, 1031, 538, 4789, 610, 824, 20448, 2477, 855, 3788, 513, 2101, 11984, 538, 519, 2136, 2276, 269, 25214, 267, 538, 4789, 267, 519, 2165, 5219, 547, 10963, 585, 799, 519, 10751, 729, 519, 2530, 540, 2244, 267, 1272, 610, 513, 18215, 563, 263, 272, 264, 634, 2347, 5480, 2594, 540, 513, 2013, 269, 630, 273, 264, 834, 2414, 3758, 257, 513, 1957, 568, 547, 2285, 621, 547, 519, 5480, 804, 17064, 585, 10014, 538, 519, 2013, 2594, 269, 630, 274, 264, 589, 17835, 538, 513, 1876, 5604, 630, 1993, 513, 2013, 267, 513, 7817, 267, 1870, 5638, 267, 3092, 8094, 2304, 18532, 829, 11437, 540, 5168, 282, 13587, 527, 995, 2259, 610, 3926, 759, 9285, 547, 609, 8247, 547, 14145, 633, 1776, 540, 3959, 610, 824, 1318, 610, 538, 930, 6073, 798, 1864, 17017, 5945, 563, 293, 26685, 5058, 589, 13138, 19851, 454, 9558, 2536, 2590, 9562, 540, 3959, 547, 513, 3972, 563, 14187, 338, 799, 616, 16922, 540, 1082, 9838, 2694, 971, 607, 513, 1668, 3559, 540, 10286, 610, 513, 22902, 540, 13212, 610, 3282, 267, 543, 799, 666, 581, 3362, 8719, 676, 824, 267, 9838, 5370, 269, 1403, 519, 5370, 616, 4421, 676, 2597, 610, 1297, 267, 713, 568, 513, 1434, 1129, 602, 789, 616, 9033, 1043, 269, 0, 1607, 813, 2337, 596, 1451, 8289, 13465, 630, 1440, 9874, 642, 16695, 13465, 1070, 610, 547, 6432, 543, 2328, 2575, 630, 16443, 545, 27774, 1916, 26452, 3681, 971, 607, 454, 268, 2647, 610, 7522, 2101, 267, 5634, 267, 610, 6985, 1738, 2259, 5036, 2676, 268, 4336, 5542, 2676, 268, 18369, 610, 30413, 1579, 325, 2676, 268, 2653, 610, 2352, 11733, 585, 2542, 5751, 2676, 268, 3977, 607, 14440, 267, 30413, 610, 18057, 563, 763, 2627, 568, 20979, 585, 14342, 538, 5251, 7154, 543, 3096, 519, 2413, 15692, 11768, 563, 21292, 281, 6258, 267, 7327, 267, 3689, 267, 590, 697, 267, 7327, 532, 267, 8535, 267, 4065, 267, 667, 1112, 566, 267, 19415, 267, 2398, 9874, 966, 16695, 267, 9253, 3672, 267, 11872, 267, 2423, 267, 9751, 454, 30475, 281, 8289, 13465, 3156, 2073, 2215, 320, 642, 16695, 2073, 6656, 2575, 2866, 3284, 330, 2073, 513, 2215, 320, 642, 16695, 1008, 2073, 2215, 320, 642, 16695, 8289, 13465, 3284, 330, 2073, 513, 2215, 320, 642, 16695, 2073, 2215, 320, 642, 16695, 4967, 2073, 2215, 822, 16695, 8289, 13465, 2073, 513, 642, 16695, 1008, 0, 291, 2905, 11473, 9802, 476, 1626, 267, 476, 1001, 275, 454, 6124, 3652, 1131, 15528, 5769, 3728, 28961, 267, 18731, 968, 6339, 29591, 7536, 763, 2229, 5063, 3576, 513, 2462, 1900, 4724, 4657, 519, 3652, 602, 1827, 875, 596, 1569, 519, 5769, 267, 4101, 968, 6339, 29591, 2223, 849, 1634, 607, 519, 968, 15411, 5769, 3034, 763, 8549, 18058, 8189, 630, 293, 6717, 264, 11225, 2121, 29591, 607, 267, 968, 320, 1377, 4730, 2361, 1141, 6800, 666, 1118, 741, 1378, 5079, 827, 1018, 3156, 543, 2533, 547, 946, 267, 543, 1141, 6800, 616, 1863, 547, 6430, 1018, 1543, 789, 1616, 547, 1569, 267, 1711, 267, 610, 2671, 609, 1866, 3034, 4913, 267, 538, 513, 476, 274, 268, 273, 3375, 267, 519, 674, 6717, 20366, 547, 1450, 5769, 3028, 7426, 971, 607, 7638, 714, 517, 543, 1290, 4751, 547, 5279, 585, 5488, 1569, 547, 1978, 4609, 269, 901, 1223, 1930, 519, 7450, 585, 3677, 543, 5763, 1512, 3549, 547, 2759, 9388, 609, 3028, 7426, 585, 5488, 3028, 547, 741, 3135, 543, 1732, 2298, 1543, 267, 1247, 3549, 945, 1810, 1406, 630, 528, 666, 1406, 264, 2628, 519, 12375, 4339, 6808, 538, 519, 3500, 28961, 563, 2108, 8256, 28366, 723, 3144, 585, 11292, 602, 1022, 5769, 1543, 602, 789, 3643, 593, 519, 5680, 568, 9447, 8449, 693, 519, 1482, 3432, 267, 519, 3432, 602, 596, 2628, 707, 5769, 3028, 8502, 585, 2223, 595, 1815, 23158, 918, 836, 540, 519, 6115, 5403, 5143, 519, 5240, 295, 712, 269, 968, 1432, 729, 9516, 2221, 1223, 1689, 602, 2497, 267, 538, 602, 5769, 3028, 2488, 2443, 602, 779, 707, 7658, 1260, 543, 10814, 2754, 602, 1683, 519, 5769, 883, 707, 1753, 2443, 666, 6430, 547, 5279, 5680, 4609, 585, 5488, 610, 14167, 6765, 540, 1543, 269, 1656, 602, 1797, 2362, 2298, 1543, 3034, 1607, 1797, 602, 6800, 786, 1205, 1114, 1569, 547, 1114, 4609, 1759, 593, 1018, 9388, 10509, 3549, 666, 2759, 609, 4950, 3028, 7426, 269, 1809, 7855, 5855, 602, 3506, 543, 2069, 4609, 267, 602, 949, 711, 581, 2111, 547, 2628, 519, 1007, 3028, 10997, 267, 1131, 1439, 909, 538, 519, 3500, 26738, 563, 763, 674, 6717, 6811, 602, 922, 1847, 1281, 711, 8209, 14207, 2121, 29591, 563, 29467, 568, 835, 5769, 269, 898, 1590, 581, 3728, 267, 621, 1590, 581, 7347, 267, 543, 621, 1590, 581, 1930, 2223, 1767, 674, 6717, 28579, 8751, 24747, 518, 269, 968, 763, 3432, 543, 2298, 540, 519, 4276, 519, 7082, 16306, 1590, 581, 19448, 26327, 676, 1018, 1543, 646, 610, 1352, 568, 1210, 269, 634, 19175, 540, 513, 10766, 24010, 7446, 23602, 543, 17485, 619, 593, 519, 5769, 568, 30849, 3034, 2467, 786, 581, 476, 2568, 2395, 538, 799, 1004, 666, 6085, 593, 519, 3375, 267, 543, 1776, 476, 2568, 2395, 540, 30491, 267, 799, 1797, 519, 1857, 1869, 814, 606, 4316, 547, 1689, 519, 6364, 540, 713, 3375, 563, 310, 1301, 909, 2055, 454, 268, 1548, 616, 519, 1283, 1614, 4128, 596, 946, 519, 5769, 888, 268, 1215, 798, 596, 1921, 547, 519, 5769, 888, 268, 3657, 596, 2479, 21616, 676, 519, 3432, 540, 519, 5769, 888, 268, 1772, 621, 4023, 585, 3677, 3549, 547, 581, 2111, 547, 4444, 5488, 1569, 547, 741, 7270, 286, 4208, 610, 1946, 711, 888, 268, 1684, 596, 3858, 610, 10990, 609, 519, 674, 6717, 779, 3375, 286, 11512, 707, 2626, 563, 5575, 267, 4952, 602, 596, 616, 513, 9649, 2754, 899, 28923, 269, 3503, 513, 20310, 4661, 540, 1946, 596, 1589, 3549, 1058, 581, 2111, 547, 2628, 547, 2285, 6800, 513, 5488, 4276, 547, 741, 3135, 269, 5822, 267, 4952, 602, 596, 616, 513, 1507, 1376, 5346, 2754, 269, 8073, 606, 4661, 602, 7028, 2121, 29591, 543, 1946, 621, 568, 1271, 547, 596, 269, 7053, 267, 607, 513, 7082, 267, 799, 798, 596, 1589, 568, 1732, 585, 596, 286, 5269, 2386, 547, 9718, 707, 7440, 609, 5885, 3877, 563, 307, 944, 339, 760, 540, 1644, 2984, 454, 307, 944, 339, 760, 540, 811, 3381, 3625, 454, 8138, 2466, 2659, 9906, 20429, 454, 305, 2358, 5836, 5210, 4611, 689, 2916, 1689, 616, 11318, 14147, 18625, 2066, 519, 4541, 269, 15566, 2542, 6635, 1206, 1299, 9177, 292, 21643, 10890, 16631, 308, 2529, 269, 4462, 322, 1538, 528, 1242, 13328, 454, 18183, 3305, 566, 5873, 902, 585, 5518, 18496, 11686, 779, 10966, 7040, 9930, 710, 324, 25960, 29484, 717, 832, 1276, 3459, 713, 3018, 269, 15566, 2542, 6635, 1206, 1299, 9177, 292, 21643, 10890, 16631, 308, 2529, 269, 4462, 322, 1538, 528, 1242, 13328, 454, 763, 2817, 670, 15736, 13477, 9976, 2048, 295, 15736, 568, 585, 15526, 685, 538, 5988, 267, 607, 513, 942, 585, 5009, 538, 1816, 4369, 543, 513, 2318, 1604, 585, 782, 1700, 10175, 1312, 2367, 543, 2021, 269, 15566, 2542, 6635, 1206, 1299, 9177, 292, 21643, 10890, 16631, 308, 2529, 269, 4462, 322, 1538, 528, 1242, 13328, 454, 288, 8470, 540, 5313, 16488, 538, 7147, 10288, 519, 1533, 547, 2699, 3863, 922, 18322, 1308, 8664, 4786, 1317, 621, 5806, 7149, 1996, 17104, 17037, 269, 15566, 2542, 6635, 1206, 1299, 9177, 292, 21643, 10890, 16631, 308, 2529, 269, 4462, 322, 1538, 528, 1242, 13328, 454, 11847, 3016, 534, 1876, 16234, 5189, 741, 10682, 585, 5449, 5518, 4446, 871, 15525, 779, 32285, 5516, 2920, 630, 3722, 288, 264, 713, 3018, 267, 855, 3068, 11685, 689, 1312, 24273, 543, 2818, 540, 741, 1378, 5428, 607, 789, 7903, 547, 1847, 519, 3915, 998, 12233, 543, 883, 519, 772, 2529, 269, 5600, 540, 24929, 585, 513, 8917, 269, 15566, 2542, 6635, 1206, 1299, 9177, 292, 21643, 10890, 16631, 308, 2529, 269, 4462, 322, 1538, 528, 1242, 13328, 0, 21328, 729, 5653, 568, 1100, 28617, 2339, 269, 1656, 2943, 649, 782, 798, 621, 18417, 269, 4634, 1346, 540, 721, 945, 3801, 547, 2661, 513, 3039, 1272, 17277, 909, 269, 3509, 540, 596, 616, 23387, 540, 519, 3800, 596, 1223, 581, 8380, 538, 1747, 547, 948, 856, 519, 2014, 267, 543, 1832, 1648, 729, 5653, 547, 513, 5934, 269, 3371, 616, 513, 1906, 1919, 596, 1522, 711, 2015, 912, 290, 1513, 910, 1703, 616, 3800, 596, 666, 4584, 909, 547, 1118, 707, 6117, 607, 1648, 3608, 607, 2009, 269, 901, 786, 711, 1152, 948, 519, 1604, 267, 855, 849, 4688, 596, 930, 2724, 1932, 269, 1635, 6117, 17215, 596, 786, 1447, 2693, 991, 547, 1289, 2390, 707, 681, 3722, 2961, 15928, 267, 1317, 596, 4465, 1405, 581, 936, 6117, 707, 1286, 269, 6027, 8840, 543, 533, 5217, 707, 3460, 3123, 1447, 5434, 543, 1797, 1447, 15143, 547, 519, 2964, 545, 563, 16978, 7879, 910, 15175, 1055, 8279, 543, 5122, 14233, 950, 596, 4734, 513, 4055, 267, 2306, 782, 519, 3017, 269, 1411, 15991, 991, 621, 593, 952, 596, 5749, 1405, 538, 519, 4055, 269, 12414, 873, 1055, 610, 1379, 1524, 707, 15291, 950, 8737, 609, 621, 3092, 269, 2659, 23129, 786, 581, 18219, 1932, 585, 707, 8373, 563, 21080, 14555, 910, 2201, 513, 3905, 3781, 519, 31112, 547, 946, 519, 2011, 14555, 568, 2178, 269, 4208, 711, 1175, 6467, 1055, 5122, 14233, 269, 1358, 5352, 11991, 3002, 602, 666, 1118, 707, 4055, 8631, 1512, 269, 898, 4465, 1405, 1118, 513, 7372, 3017, 267, 855, 596, 723, 513, 4411, 17643, 585, 519, 1964, 563, 18184, 2421, 910, 2274, 3058, 707, 7641, 593, 1796, 2421, 267, 22837, 476, 2004, 260, 540, 519, 1648, 1031, 950, 621, 568, 593, 269, 2334, 1648, 1223, 581, 1732, 1031, 11992, 563, 11900, 1637, 910, 16440, 2724, 676, 16459, 1697, 13471, 585, 707, 6821, 543, 8122, 269, 901, 786, 849, 948, 707, 3327, 11640, 269, 4107, 540, 707, 3002, 568, 4503, 998, 6821, 269, 12344, 13570, 13471, 1131, 4324, 707, 5692, 547, 4688, 1648, 269, 898, 786, 1832, 519, 3002, 593, 519, 3330, 563, 30262, 1168, 762, 6052, 6109, 28610, 5295, 814, 5063, 6659, 1269, 7906, 269, 278, 2929, 538, 513, 10022, 645, 2973, 10509, 7616, 5180, 689, 513, 3984, 540, 14679, 3854, 10909, 3366, 676, 19087, 20971, 5004, 267, 513, 2754, 1071, 1922, 15903, 676, 1325, 717, 648, 269, 28610, 5295, 267, 1759, 856, 540, 654, 953, 600, 267, 7136, 1421, 3157, 5214, 2339, 971, 607, 13452, 3653, 543, 23987, 1426, 547, 3132, 15655, 267, 799, 666, 1287, 581, 1031, 607, 513, 4492, 585, 10451, 5201, 563, 763, 2754, 814, 4566, 547, 1628, 1079, 1007, 6703, 538, 4516, 267, 835, 540, 799, 28610, 814, 2907, 7745, 2666, 593, 269, 901, 7791, 1648, 9744, 267, 3544, 540, 26551, 267, 786, 1831, 3345, 3013, 779, 1101, 5010, 8397, 1164, 17571, 26103, 12536, 9744, 563, 1103, 1840, 547, 6721, 15655, 267, 28610, 5295, 666, 5352, 13226, 538, 519, 1184, 607, 1134, 607, 735, 7675, 519, 2067, 3154, 585, 6283, 5301, 269, 769, 1249, 267, 519, 2754, 13922, 547, 946, 519, 1007, 3039, 10509, 7616, 547, 849, 1039, 1007, 7791, 1648, 4066, 269, 2290, 540, 799, 1131, 8415, 513, 1164, 2837, 1184, 547, 1118, 10282, 3154, 267, 610, 5204, 978, 553, 269, 634, 676, 1790, 6055, 666, 1287, 581, 1031, 547, 5352, 5201, 267, 16669, 10173, 543, 3606, 3114, 2472, 563, 20124, 689, 28610, 5295, 454, 3528, 7033, 670, 1638, 9625, 454, 2005, 779, 2038, 6640, 538, 519, 14480, 8663, 25951, 8378, 543, 519, 29450, 1235, 1985, 7450, 616, 1869, 18069, 269, 634, 1379, 3620, 2426, 787, 1007, 3141, 568, 8022, 909, 519, 1336, 268, 15953, 4496, 11247, 538, 519, 10754, 267, 543, 594, 6557, 7555, 676, 607, 27673, 623, 1177, 869, 24989, 30012, 909, 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 ]
[ 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, 8080, 547, 938, 4241, 3460, 883, 1620, 519, 1158, 540, 19736, 543, 15377, 256, 5620, 596, 2479, 9289, 875, 3549, 6318, 2724, 547, 1628, 1007, 15327, 267, 1020, 5499, 2472, 267, 610, 4228, 741, 4213, 286, 4270, 267, 835, 1259, 789, 798, 713, 568, 998, 9513, 13632, 267, 799, 616, 899, 6263, 4773, 540, 9562, 538, 513, 2754, 269, 4653, 267, 649, 786, 2263, 875, 891, 8852, 616, 14931, 543, 4080, 267, 1210, 1483, 8996, 1806, 602, 1921, 609, 707, 3232, 1272, 780, 5331, 4358, 513, 21097, 1796, 538, 707, 8378, 1282, 4832, 2736, 269, 1411, 1522, 2307, 2828, 267, 1920, 2818, 267, 610, 12543, 547, 1902, 930, 2724, 865, 596, 666, 4444, 811, 19790, 976, 267, 4006, 267, 543, 11680, 269, 1306, 519, 1870, 9428, 543, 1274, 985, 12434, 267, 596, 949, 1616, 547, 8007, 707, 9520, 676, 4758, 873, 1394, 851, 540, 741, 3355, 5092, 2059, 609, 513, 1507, 10516, 1107, 6148, 3063, 11993, 3547, 610, 1256, 513, 6712, 540, 519, 15271, 269, 901, 2241, 1383, 14550, 1018, 4523, 950, 1004, 1902, 538, 513, 2754, 269, 1717, 267, 950, 621, 2501, 547, 1804, 14078, 971, 607, 3381, 3014, 9367, 899, 2920, 643, 1707, 2349, 11170, 731, 5549, 1421, 1919, 960, 8335, 855, 1759, 593, 2147, 3741, 780, 8002, 643, 1707, 2349, 11170, 731, 5549, 1421, 4092, 538, 13566, 13244, 3933, 3821, 267, 4993, 267, 5932, 2442, 3756, 971, 607, 11910, 540, 667, 14280, 267, 2622, 540, 654, 2117, 2761, 267, 15443, 344, 9197, 2313, 590, 15676, 267, 543, 1082, 1866, 269, 2060, 6634, 540, 5716, 5001, 267, 4952, 519, 2179, 540, 3854, 2877, 547, 2196, 713, 2518, 11080, 10504, 256, 14992, 899, 2920, 643, 1707, 2349, 11170, 731, 991, 547, 1246, 1808, 3652, 543, 6042, 950, 9870, 7482, 543, 4687, 2883, 1344, 609, 9520, 269, 2334, 781, 1141, 3906, 899, 519, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 264, 2097, 883, 1404, 780, 13914, 540, 519, 22444, 607, 519, 834, 22364, 20536, 543, 22275, 324, 257, 3743, 585, 4180, 14619, 543, 11413, 538, 519, 6006, 2344, 269, 1358, 2327, 782, 15597, 21775, 3549, 1683, 4977, 543, 2347, 1344, 827, 741, 4238, 267, 18083, 267, 543, 2359, 269, 1280, 3236, 267, 1169, 1032, 267, 1175, 899, 1053, 10505, 3356, 5359, 547, 3237, 543, 3610, 267, 2920, 643, 1707, 2349, 11170, 731, 22347, 1080, 606, 5993, 1867, 24223, 922, 2773, 936, 519, 2250, 12964, 3275, 269, 1452, 6054, 948, 1699, 543, 1761, 9520, 1174, 952, 519, 2754, 814, 1044, 3811, 543, 19311, 780, 3086, 1577, 781, 1232, 1712, 519, 2495, 3297, 519, 1279, 5037, 693, 519, 4098, 540, 713, 3992, 269, 898, 3568, 1898, 3877, 3823, 2920, 643, 1707, 2349, 11170, 731, 5549, 9538, 338, 25937, 609, 519, 22444, 1634, 607, 4813, 476, 1015, 11860, 269, 2913, 803, 2491, 1883, 2474, 538, 12863, 1893, 1384, 265, 2878, 13528, 476, 1015, 11860, 4995, 1323, 3573, 3561, 19429, 12422, 676, 15597, 21775, 3549, 5627, 3102, 1344, 827, 1585, 3344, 540, 741, 4213, 267, 8151, 689, 2912, 1243, 2883, 6898, 547, 1713, 4220, 5185, 676, 519, 6109, 563, 265, 2878, 257, 3198, 26214, 3201, 29187, 18306, 623, 7838, 24746, 19611, 9215, 22444, 3582, 476, 1724, 10758, 476, 1428, 5560, 17983, 4995, 589, 3948, 30260, 10220, 609, 8989, 4170, 896, 6810, 476, 1724, 610, 476, 1428, 5560, 264, 540, 519, 1530, 15247, 16510, 2920, 540, 476, 4350, 275, 563, 265, 2878, 293, 14166, 5729, 7736, 539, 5412, 476, 4029, 267, 476, 1708, 272, 4995, 4676, 619, 547, 519, 942, 7406, 4988, 1369, 519, 1867, 910, 519, 3003, 11706, 1032, 540, 476, 1708, 272, 7132, 1022, 6967, 2395, 1354, 5412, 476, 4029, 560, 689, 519, 3105, 1032, 563, 265, 2878, 4596, 12613, 3041, 31064, 674, 11223, 715, 9331, 21612, 476, 272, 268, 15647, 4375, 4995, 5272, 2083, 518, 11392, 513, 2189, 8446, 1297, 8655, 676, 519, 22444, 585, 9477, 5301, 563, 265, 2878, 3722, 30888, 3041, 12778, 19154, 22003, 313, 19181, 267, 5442, 290, 269, 4995, 1401, 716, 2012, 540, 519, 2754, 1373, 4080, 2390, 563, 265, 2878, 263, 13750, 610, 824, 16278, 540, 25465, 610, 3919, 264, 4995, 25824, 919, 1141, 519, 2754, 729, 16155, 4646, 282, 538, 713, 2013, 267, 26609, 563, 265, 2878, 263, 296, 10611, 2529, 269, 14146, 518, 22384, 3143, 4700, 4995, 12525, 9517, 1031, 676, 519, 18378, 28521, 6796, 630, 7644, 306, 264, 547, 2697, 519, 2754, 563, 265, 2878, 263, 11754, 816, 540, 9030, 10324, 13646, 264, 1262, 1299, 2878, 263, 313, 760, 8943, 264, 4995, 8682, 7721, 17839, 2218, 2336, 265, 2878, 263, 8802, 626, 7949, 781, 15146, 1297, 267, 1519, 1858, 3009, 264, 4995, 13555, 9623, 585, 8757, 856, 547, 519, 2754, 22071, 563, 265, 2878, 20376, 20914, 10805, 5083, 340, 656, 547, 8791, 476, 1321, 6357, 264, 1315, 7170, 540, 1142, 1362, 1315, 29665, 13507, 4433, 264, 1315, 8745, 540, 1142, 5385, 593, 799, 10805, 4995, 700, 1235, 8843, 540, 1455, 6006, 4421, 547, 1857, 9520, 896, 8791, 476, 1321, 6357, 1070, 2059, 609, 7222, 9467, 6698, 543, 6990, 780, 4407, 713, 1522, 3100, 11566, 7620, 267, 1589, 540, 621, 607, 11018, 10881, 547, 4062, 1927, 513, 11015, 4605, 540, 513, 2754, 781, 1072, 267, 10781, 267, 543, 2591, 269, 1635, 1565, 547, 1224, 543, 4612, 891, 5359, 267, 596, 1831, 1732, 9280, 547, 1118, 5483, 3664, 827, 5885, 4213, 602, 5447, 609, 707, 2418, 543, 4690, 269, 13773, 22934, 585, 2104, 4245, 3695, 3606, 2609, 1336, 1369, 891, 1271, 2883, 12607, 17007, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 4488, 308, 6020, 25765, 6730, 12327, 6224, 3198, 12283, 25265, 3041, 31064, 454, 29910, 267, 667, 5861, 269, 476, 13078, 5392, 454, 26926, 496, 4888, 26214, 3201, 29187, 18306, 623, 7838, 24746, 19611, 9215, 22444, 3582, 476, 1724, 10758, 476, 1428, 5560, 264, 5508, 5990, 22444, 308, 6020, 25765, 12327, 6224, 3198, 12283, 20554, 5508, 476, 4350, 275, 454, 2690, 519, 674, 14166, 5729, 7736, 539, 5412, 476, 4029, 267, 476, 1708, 272, 454, 26926, 494, 13138, 3198, 10485, 3582, 29187, 18306, 623, 7838, 24746, 19611, 9215, 22444, 3582, 476, 1724, 10758, 476, 1428, 5560, 264, 5508, 5990, 22444, 308, 6020, 25765, 12327, 6224, 3198, 12283, 20554, 5508, 476, 4350, 275, 454, 2690, 519, 5912, 1974, 689, 547, 454, 8333, 2153, 11711, 7089, 476, 272, 268, 15647, 4375, 454, 3722, 30888, 3041, 12778, 19154, 22003, 313, 19181, 267, 5442, 290, 563, 263, 2750, 716, 2012, 540, 7373, 7949, 607, 9138, 538, 922, 22497, 994, 347, 263, 13750, 610, 824, 16278, 540, 25465, 610, 3919, 10534, 263, 296, 10611, 2529, 269, 14146, 518, 22384, 3143, 4700, 2008, 347, 17734, 272, 16727, 25376, 4582, 731, 8490, 645, 1475, 306, 9017, 3933, 3821, 267, 1475, 7563, 1475, 3445, 275, 6860, 2008, 347, 263, 11754, 816, 540, 9030, 10324, 13646, 10534, 263, 313, 760, 8943, 10245, 263, 8802, 626, 7949, 779, 15146, 1297, 267, 1519, 1858, 3009, 994, 20376, 20914, 10805, 5083, 340, 656, 547, 8791, 476, 1321, 6357, 264, 540, 519, 2920, 912, 347, 17138, 540, 1142, 1362, 1475, 307, 15665, 13507, 4433, 10534, 11243, 540, 1142, 5385, 593, 799, 10805, 2008, 347, 13349, 14351, 267, 1612, 1871, 1269, 271, 269, 1822, 9826, 829, 2671, 1475, 2969, 9654, 1475, 763, 715, 553, 6767, 336, 6820, 8564, 10369, 2008, 20376, 20914, 10805, 5083, 340, 656, 547, 8791, 476, 1321, 14116, 264, 540, 519, 2920, 912, 5715, 6510, 676, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 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, 7705, 281, 19850, 7585, 256, 4653, 649, 2811, 2469, 547, 2911, 827, 1945, 1572, 834, 25791, 2257, 257, 543, 922, 4276, 547, 6014, 2090, 269, 5620, 596, 4862, 540, 621, 1354, 2496, 7692, 281, 3502, 2731, 267, 7705, 269, 1548, 568, 1514, 2257, 2496, 8334, 281, 4279, 2243, 256, 4317, 2257, 568, 519, 1353, 540, 1480, 2623, 543, 7239, 269, 898, 2882, 10459, 899, 15257, 267, 6530, 267, 19795, 267, 543, 2797, 2257, 269, 1635, 4974, 891, 4610, 267, 649, 666, 1451, 811, 827, 6000, 543, 1866, 1472, 721, 780, 7692, 281, 7937, 267, 4277, 256, 1656, 1141, 1281, 6014, 2090, 3514, 883, 713, 2496, 8334, 281, 4270, 267, 6014, 2090, 1419, 1445, 593, 3695, 1585, 3344, 540, 6014, 2528, 267, 1686, 267, 4984, 267, 543, 1893, 269, 1879, 5916, 609, 1514, 9443, 267, 621, 2636, 3173, 543, 1053, 547, 1732, 1174, 519, 2833, 543, 4205, 540, 6014, 2950, 2429, 942, 269, 901, 2337, 3895, 6568, 267, 13784, 267, 543, 2686, 16169, 1851, 1004, 780, 7692, 281, 2334, 4992, 1271, 269, 2052, 596, 2285, 803, 930, 1806, 540, 1483, 3734, 3871, 1141, 6616, 827, 1514, 2257, 543, 6014, 2090, 1223, 948, 2496, 8334, 281, 17610, 256, 2913, 781, 2161, 596, 5469, 2576, 1373, 13032, 1221, 693, 1153, 1317, 789, 1246, 513, 1114, 5132, 982, 1034, 3214, 269, 16792, 1702, 6591, 998, 1514, 2257, 543, 6014, 2090, 1522, 5000, 596, 547, 1796, 909, 1996, 11648, 267, 9784, 4763, 267, 543, 13599, 3054, 543, 1866, 827, 1114, 4529, 543, 10764, 780, 7692, 281, 13259, 267, 865, 1565, 827, 824, 1004, 781, 4978, 543, 5389, 666, 1118, 938, 2146, 6793, 676, 5009, 10343, 543, 2463, 585, 3025, 780, 8334, 281, 22549, 256, 3767, 1577, 781, 1589, 827, 513, 3510, 950, 21264, 532, 1950, 5220, 610, 6898, 1522, 2097, 538, 13561, 269, 5994, 2542, 513, 8574, 2854, 538, 2025, 12355, 7097, 269, 4197, 8239, 3652, 543, 6863, 949, 5512, 596, 547, 14377, 519, 1257, 7157, 543, 5660, 922, 3140, 4644, 780, 7692, 281, 26272, 267, 602, 2306, 2631, 269, 1924, 2348, 4282, 1702, 538, 1312, 1514, 2257, 543, 6014, 2090, 666, 10802, 938, 2729, 543, 948, 721, 6330, 4101, 3871, 609, 11419, 543, 7326, 780, 8334, 281, 25999, 256, 11408, 3314, 267, 3384, 7279, 2509, 1007, 2093, 267, 4529, 267, 543, 12583, 3376, 839, 938, 5380, 543, 10114, 999, 8296, 1369, 938, 12271, 780, 7692, 281, 1411, 2811, 1318, 267, 7705, 269, 8729, 585, 3450, 803, 827, 1514, 2257, 543, 6014, 2090, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30952, 789, 616, 1412, 513, 12603, 552, 16014, 928, 3964, 547, 7503, 596, 9659, 707, 1995, 6527, 29717, 595, 675, 313, 821, 543, 2405, 20055, 263, 540, 799, 595, 675, 313, 821, 2451, 6382, 22184, 2486, 693, 782, 267, 543, 2405, 20055, 729, 856, 1040, 12303, 789, 1454, 12603, 552, 16014, 928, 10127, 1177, 2033, 519, 1382, 610, 519, 14472, 25445, 8081, 6828, 269, 634, 2409, 13504, 814, 1932, 1683, 547, 2232, 2165, 1396, 17790, 269, 1358, 12603, 552, 16014, 928, 10127, 1177, 2033, 827, 1412, 1776, 962, 540, 1609, 919, 13006, 2009, 10872, 1412, 713, 19496, 4647, 803, 14375, 952, 789, 7018, 1022, 3296, 1018, 789, 941, 2687, 269, 2523, 11992, 1283, 519, 1270, 15363, 2079, 585, 521, 664, 11856, 1131, 3247, 3808, 1898, 28623, 267, 607, 952, 596, 2270, 1114, 540, 519, 2262, 596, 723, 1210, 269, 594, 616, 547, 1413, 689, 1250, 12603, 552, 16014, 928, 10127, 1177, 2033, 476, 1220, 279, 540, 713, 9019, 972, 1331, 3978, 3844, 3785, 616, 1739, 269, 769, 519, 1383, 519, 546, 22751, 1131, 3343, 25250, 8273, 547, 1489, 1018, 789, 4683, 538, 519, 20498, 3735, 23131, 269, 2991, 602, 596, 786, 13918, 538, 12603, 552, 16014, 928, 10127, 1177, 2033, 476, 1220, 279, 540, 713, 1576, 267, 543, 581, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 6014, 5525, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 616, 1806, 540, 23835, 1670, 2055, 888, 2691, 649, 2307, 2620, 2055, 827, 968, 6343, 568, 519, 2470, 540, 519, 7122, 9495, 610, 968, 3674, 972, 513, 5601, 9495, 610, 968, 1432, 4523, 547, 721, 950, 649, 5884, 9495, 610, 968, 1432, 3741, 1827, 519, 3601, 540, 2339, 9495, 649, 616, 6998, 20244, 23835, 1670, 2055, 563, 1432, 568, 23835, 1670, 10054, 538, 11050, 1382, 888, 763, 23835, 1670, 13429, 540, 519, 11050, 17565, 568, 602, 972, 568, 1152, 835, 5168, 267, 606, 6662, 4641, 602, 6818, 4830, 540, 1480, 8226, 269, 715, 3796, 630, 1001, 272, 281, 15150, 264, 2829, 602, 519, 6138, 540, 11050, 1382, 568, 1759, 593, 23835, 1670, 13429, 540, 5266, 7123, 4641, 563, 1432, 616, 519, 23835, 1670, 10054, 798, 12007, 3173, 1118, 827, 1480, 4641, 888, 763, 12007, 11001, 5088, 806, 519, 23835, 1670, 13429, 540, 2789, 18408, 267, 2789, 19178, 267, 1775, 4318, 1421, 7606, 1174, 4641, 538, 1114, 2081, 602, 2992, 1367, 5380, 563, 1432, 568, 23835, 1670, 13429, 888, 302, 660, 1670, 10054, 630, 333, 1155, 540, 4641, 2567, 1703, 568, 835, 3989, 4641, 267, 6378, 267, 22905, 267, 543, 28507, 269, 9210, 626, 655, 1670, 10054, 630, 32474, 2567, 2637, 9334, 1702, 568, 6662, 543, 3067, 16666, 269, 634, 3804, 540, 2257, 568, 547, 1449, 543, 4228, 3069, 563, 1432, 568, 13429, 538, 1382, 1383, 888, 763, 4214, 540, 606, 13429, 568, 606, 2856, 602, 568, 4646, 1510, 2963, 269, 1323, 1383, 540, 606, 13429, 568, 602, 972, 786, 581, 1426, 693, 513, 5428, 269, 23985, 3144, 585, 11292, 610, 7608, 607, 3020, 1510, 6169, 282, 513, 1139, 3789, 563, 1692, 798, 596, 2328, 10054, 538, 12007, 1382, 888, 19350, 649, 723, 12006, 2185, 4388, 593, 875, 547, 4308, 609, 10054, 538, 1382, 1603, 563, 268, 5213, 1406, 5905, 873, 267, 4734, 873, 607, 789, 616, 3248, 268, 11512, 873, 538, 811, 1469, 630, 24708, 873, 8763, 994, 268, 20644, 2963, 630, 935, 3200, 873, 883, 6462, 6811, 994, 268, 7827, 873, 630, 516, 341, 1047, 519, 3677, 3409, 994, 1432, 568, 606, 23835, 1670, 1382, 1935, 888, 2304, 23835, 1670, 1935, 5654, 693, 519, 1919, 519, 1239, 568, 827, 543, 3096, 873, 607, 519, 4493, 585, 519, 2497, 540, 519, 1239, 269, 1403, 596, 7157, 2697, 519, 1919, 602, 616, 1271, 547, 519, 1870, 267, 543, 519, 3347, 1063, 873, 267, 1287, 596, 786, 723, 2919, 513, 1239, 2203, 538, 476, 277, 628, 16453, 4813, 563, 1432, 616, 23835, 1108, 2474, 888, 2304, 23835, 1108, 568, 513, 6101, 6041, 540, 513, 1560, 540, 1702, 1369, 513, 2016, 6389, 269, 13115, 3098, 2356, 2874, 540, 513, 1305, 540, 5049, 630, 528, 2474, 610, 2035, 264, 609, 1894, 602, 7500, 1063, 873, 563, 1432, 568, 606, 23835, 1108, 543, 1946, 649, 991, 621, 888, 302, 660, 1108, 4145, 6811, 827, 519, 2470, 540, 1373, 543, 6228, 269, 4208, 798, 649, 991, 23835, 1108, 286, 13115, 1108, 568, 519, 1034, 1898, 851, 1022, 1062, 540, 1702, 6041, 585, 513, 6389, 269, 634, 23835, 3098, 849, 5512, 1702, 4687, 269, 634, 23835, 1108, 19306, 519, 12497, 2497, 540, 519, 6389, 269, 32655, 23835, 3098, 948, 538, 2810, 519, 19074, 540, 1702, 563, 1432, 568, 23835, 1108, 543, 26381, 1108, 609, 606, 1383, 888, 302, 660, 1108, 9388, 609, 552, 3052, 269, 2433, 892, 1432, 616, 519, 10096, 540, 1373, 9495, 1247, 26381, 1108, 12211, 547, 519, 6138, 540, 1702, 267, 3661, 267, 5168, 267, 1871, 267, 2073, 516, 2993, 1464, 543, 865, 593, 269, 1280, 1383, 267, 2348, 513, 6325, 454, 1432, 616, 519, 2474, 585, 1585, 23835, 1670, 7158, 888, 1432, 616, 519, 2474, 585, 1585, 23835, 1670, 7158, 286, 1703, 616, 1079, 8789, 7158, 1369, 23835, 1108, 282, 17779, 543, 22194, 1143, 269, 30527, 281, 634, 11001, 5784, 519, 1158, 607, 4540, 14384, 689, 3425, 543, 741, 12496, 540, 621, 269, 13115, 1108, 543, 9210, 626, 655, 1108, 281, 589, 11822, 19247, 1107, 21094, 11819, 563, 1432, 568, 606, 1383, 540, 606, 13429, 538, 1382, 888, 763, 11957, 540, 2667, 636, 6877, 538, 513, 19080, 269, 2290, 540, 519, 1101, 543, 1034, 1271, 4247, 950, 1603, 513, 5098, 568, 547, 6430, 1018, 10054, 707, 3988, 616, 2693, 547, 0, 1432, 1281, 16289, 21609, 1611, 888, 1432, 1281, 3561, 1711, 292, 2211, 798, 888, 1103, 606, 14103, 3561, 267, 519, 3561, 269, 1711, 292, 2211, 3890, 1505, 5932, 519, 14103, 3693, 9138, 676, 11090, 11243, 267, 610, 606, 14103, 4462, 4385, 292, 2211, 952, 11090, 11243, 3884, 1406, 6444, 563, 1432, 568, 513, 7956, 27161, 888, 288, 1257, 6843, 20206, 12885, 24701, 1915, 1543, 269, 589, 1257, 6843, 666, 723, 4642, 610, 835, 2385, 269, 634, 1543, 540, 513, 1257, 6843, 666, 581, 8900, 269, 1717, 267, 8259, 519, 2385, 540, 513, 1257, 6843, 568, 8900, 267, 519, 1543, 540, 519, 1257, 6843, 3112, 581, 606, 8900, 5569, 563, 1432, 568, 513, 6843, 667, 6865, 888, 301, 3941, 616, 538, 519, 667, 6865, 513, 6390, 11657, 8629, 2203, 269, 769, 519, 667, 6865, 267, 782, 2694, 540, 519, 3561, 267, 971, 607, 2609, 267, 10305, 267, 1257, 267, 3092, 269, 616, 6896, 538, 513, 21712, 3529, 6438, 2497, 282, 9967, 540, 3237, 543, 1453, 269, 1452, 1367, 2694, 540, 519, 3561, 616, 1634, 607, 9136, 563, 1692, 798, 596, 946, 1547, 6572, 538, 23404, 888, 1692, 621, 1568, 912, 268, 3689, 267, 2824, 519, 12804, 3693, 676, 922, 7329, 676, 1210, 519, 13214, 15675, 528, 3890, 1505, 563, 268, 5822, 267, 17551, 606, 5044, 540, 4654, 563, 268, 12059, 267, 585, 1142, 1893, 267, 1711, 513, 1007, 15073, 3693, 609, 519, 1257, 32098, 568, 8655, 547, 519, 1893, 563, 268, 7053, 267, 16289, 15073, 2609, 547, 519, 12804, 3693, 676, 1210, 519, 16289, 3890, 1505, 563, 1432, 568, 513, 667, 6865, 21803, 888, 2252, 519, 2016, 1126, 568, 513, 4704, 547, 606, 4540, 6843, 538, 519, 3561, 267, 16289, 21609, 20465, 7575, 621, 689, 922, 1699, 2990, 547, 519, 1007, 2990, 630, 11004, 568, 1100, 10421, 547, 4894, 519, 6843, 689, 922, 2385, 6843, 1354, 813, 2056, 621, 547, 930, 824, 6843, 1916, 1692, 547, 16289, 513, 6843, 547, 513, 1592, 540, 1453, 888, 763, 19219, 6910, 21609, 3890, 1505, 8591, 513, 6843, 547, 519, 1439, 540, 519, 1592, 540, 1453, 540, 513, 9138, 2385, 6843, 269, 1403, 519, 2016, 1126, 568, 513, 4704, 547, 606, 4540, 6843, 538, 519, 3561, 267, 16289, 21609, 3890, 7575, 621, 689, 922, 1699, 2990, 547, 519, 1007, 2990, 630, 11004, 568, 1100, 10421, 547, 4894, 519, 6843, 689, 922, 2385, 6843, 7498, 1692, 547, 5832, 2789, 16289, 21609, 3527, 593, 513, 3625, 888, 306, 1115, 513, 28343, 547, 1152, 267, 2495, 596, 3112, 5832, 2417, 3527, 593, 3625, 267, 899, 7900, 1896, 5832, 539, 16289, 21609, 1547, 634, 6843, 547, 16289, 547, 519, 2016, 2385, 6843, 630, 21720, 569, 606, 3693, 1040, 589, 19219, 602, 568, 519, 813, 2105, 1126, 630, 513, 21609, 16532, 4849, 950, 513, 21609, 568, 513, 11657, 293, 4048, 618, 267, 538, 799, 2013, 519, 8900, 11657, 293, 4048, 618, 568, 8120, 563, 1692, 547, 16289, 513, 6843, 1310, 519, 2063, 1126, 538, 1535, 332, 671, 665, 888, 763, 1739, 3009, 23650, 13907, 9232, 2835, 11859, 6447, 9232, 883, 1535, 6447, 291, 665, 543, 5932, 513, 6843, 630, 16532, 543, 813, 1742, 621, 1310, 519, 2063, 1126, 540, 519, 1101, 6843, 281, 634, 16289, 21609, 20465, 1505, 8591, 513, 6843, 1310, 519, 2063, 1126, 6843, 540, 519, 9138, 3693, 6843, 269, 901, 1505, 7024, 519, 1007, 1126, 6843, 269, 0, 2467, 616, 1082, 2081, 547, 3434, 8970, 593, 519, 25865, 267, 971, 607, 887, 8463, 267, 14495, 267, 543, 1989, 3739, 269, 18181, 6770, 856, 922, 2067, 29284, 269, 21984, 8970, 666, 581, 13881, 593, 519, 25865, 269, 898, 568, 1175, 607, 8949, 607, 11273, 543, 814, 811, 5567, 563, 3674, 4189, 6151, 8970, 3983, 585, 596, 888, 2791, 949, 581, 11842, 2436, 596, 616, 4847, 547, 3548, 6151, 8970, 269, 21984, 8970, 666, 581, 8949, 267, 2635, 543, 2922, 269, 5269, 2386, 596, 1205, 519, 1655, 8970, 267, 2973, 621, 1134, 543, 1287, 3548, 621, 1318, 1055, 519, 25865, 563, 1432, 568, 519, 1072, 5006, 1259, 547, 3548, 8970, 888, 314, 306, 728, 8663, 316, 4425, 4979, 786, 2014, 8970, 630, 663, 824, 5388, 32426, 547, 6336, 1034, 540, 922, 5567, 269, 1677, 8190, 782, 922, 1072, 2640, 267, 596, 666, 17196, 8970, 610, 1989, 650, 621, 563, 3674, 8970, 538, 513, 666, 2907, 11273, 888, 3674, 27574, 8970, 2907, 11273, 286, 8382, 547, 713, 2243, 281, 968, 8133, 269, 898, 568, 2907, 11273, 543, 4712, 547, 581, 13881, 1848, 24511, 267, 596, 666, 3548, 8970, 1318, 856, 540, 519, 8708, 269, 1411, 666, 6492, 519, 4195, 1145, 543, 621, 814, 930, 29511, 2336, 1692, 798, 596, 3548, 4195, 8970, 888, 26668, 18467, 1677, 16202, 21984, 12397, 454, 268, 1411, 666, 1118, 513, 6151, 8970, 19997, 563, 268, 853, 597, 8970, 883, 546, 2354, 563, 268, 17949, 669, 2683, 8970, 17339, 563, 268, 17949, 6653, 8970, 4672, 29931, 600, 547, 3579, 1055, 563, 268, 6875, 621, 1318, 1055, 519, 25865, 563, 1321, 13797, 592, 269, 476, 1001, 277, 575, 563, 3674, 6151, 8970, 2182, 547, 7558, 888, 290, 1941, 568, 711, 513, 1426, 602, 519, 1560, 666, 7558, 454, 763, 8970, 568, 3638, 538, 27794, 269, 901, 568, 606, 1202, 20107, 6775, 519, 1560, 666, 1406, 7558, 269, 634, 1560, 1281, 2705, 2736, 1524, 824, 2694, 540, 8970, 269, 1677, 1569, 519, 1034, 5567, 267, 519, 1560, 666, 2736, 1524, 519, 27794, 6821, 676, 21400, 8970, 3476, 563, 3674, 2361, 8970, 2922, 547, 3548, 888, 18744, 513, 6712, 540, 519, 17830, 666, 581, 1031, 547, 3132, 19844, 269, 634, 20566, 543, 519, 3170, 616, 1031, 607, 3662, 3049, 269, 5221, 621, 568, 25836, 543, 711, 6653, 267, 1004, 1810, 1406, 899, 547, 3548, 8970, 2786, 689, 519, 4610, 563, 1432, 616, 519, 11393, 540, 4189, 8970, 888, 290, 1941, 814, 513, 2603, 540, 6775, 267, 2030, 7135, 543, 824, 5567, 602, 666, 948, 609, 3750, 543, 9667, 1072, 269, 1717, 267, 8970, 568, 1164, 538, 20566, 543, 666, 2014, 1973, 4006, 26389, 267, 799, 949, 1291, 547, 2597, 2744, 269, 2637, 13443, 9168, 8970, 1223, 10460, 513, 3106, 1981, 269, 1717, 267, 596, 666, 1869, 3548, 8970, 538, 20208, 563, 3963, 568, 8970, 3983, 585, 707, 8937, 888, 288, 2603, 540, 1022, 6219, 568, 5739, 585, 707, 12536, 269, 1717, 267, 8970, 666, 2014, 1713, 9667, 2042, 1813, 547, 922, 1164, 27794, 1377, 269, 634, 1480, 9667, 1062, 3112, 2736, 1524, 27794, 563, 1432, 1292, 8670, 4422, 609, 8970, 593, 519, 25865, 888, 290, 1941, 593, 519, 29154, 281, 589, 30449, 532, 2725, 531, 454, 268, 12551, 269, 6182, 2683, 29607, 610, 21266, 777, 807, 666, 581, 6039, 609, 8970, 593, 519, 25865, 547, 2285, 707, 7594, 513, 6492, 540, 1312, 2244, 543, 1216, 269, 6693, 268, 26560, 269, 12397, 593, 519, 25865, 568, 513, 1390, 30010, 585, 9269, 269, 634, 29511, 344, 543, 1750, 14567, 18282, 9148, 1142, 824, 269, 6693, 268, 2142, 1030, 269, 6693, 268, 32365, 654, 571, 5529, 12397, 593, 634, 29154, 454, 19675, 594, 27125, 27574, 8970, 888, 288, 2656, 27125, 540, 23691, 666, 1118, 621, 26656, 269, 901, 666, 4688, 596, 942, 543, 2724, 267, 543, 666, 948, 547, 1039, 19787, 547, 707, 3232, 2732, 269, 634, 3173, 1336, 602, 9770, 2157, 941, 4389, 676, 1951, 1456, 543, 11067, 27574, 3039, 10365, 543, 8970, 563, 4692, 596, 3548, 6653, 8970, 2786, 689, 519, 666, 888, 2791, 666, 1118, 621, 256, 1677, 1118, 29380, 344, 544, 4770, 267, 594, 1039, 6653, 25468, 1318, 689, 519, 17646, 269, 634, 6653, 25468, 568, 11273, 538, 519, 17646, 269, 898, 1175, 2115, 547, 581, 3636, 539, 998, 585, 1004, 779, 6492, 269, 898, 779, 5386, 547, 3548, 519, 17646, 6653, 25468, 669, 2683, 563, 7617, 568, 1732, 13792, 610, 27574, 8970, 888, 4692, 666, 8970, 568, 1732, 982, 13792, 8970, 1169, 1554, 540, 519, 3018, 269, 898, 779, 849, 513, 1390, 12990, 585, 4195, 8970, 524, 10849, 269, 31530, 7999, 8970, 2965, 814, 7864, 8477, 982, 4195, 543, 27574, 563, 1432, 616, 519, 2640, 540, 4189, 8970, 888, 2467, 616, 1082, 1072, 2640, 547, 8970, 269, 12397, 666, 948, 609, 12536, 1813, 547, 922, 1164, 6775, 1543, 269, 1411, 786, 849, 1265, 3407, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11739, 696, 1185, 513, 6825, 1764, 593, 4081, 1983, 563, 257, 7212, 519, 3732, 540, 1453, 3207, 3592, 476, 279, 3108, 267, 741, 12008, 4356, 2982, 721, 602, 476, 7597, 260, 2132, 1753, 1310, 476, 280, 10975, 693, 2547, 1614, 1256, 902, 513, 3018, 610, 789, 979, 547, 5127, 1310, 476, 1556, 10975, 693, 2547, 2185, 17334, 513, 3018, 269, 1306, 971, 267, 10453, 602, 3207, 476, 279, 610, 476, 280, 3108, 723, 513, 8338, 2773, 982, 1346, 602, 3207, 476, 280, 610, 476, 1556, 3108, 2437, 519, 4966, 11329, 856, 563, 257, 21982, 883, 2272, 519, 2164, 5833, 267, 649, 3494, 602, 811, 982, 476, 280, 3108, 3207, 543, 513, 3781, 569, 6296, 7957, 832, 4081, 2773, 2437, 3773, 1849, 611, 749, 553, 563, 289, 18847, 1899, 286, 5192, 519, 1453, 547, 5127, 593, 942, 1169, 3781, 952, 596, 2503, 873, 547, 14133, 538, 1153, 543, 3142, 1753, 1434, 9344, 563, 1607, 2022, 729, 4547, 547, 596, 676, 2806, 2449, 4211, 531, 4727, 268, 10890, 268, 11900, 4269, 2593, 269, 1280, 811, 1344, 593, 1072, 6142, 543, 4388, 585, 9494, 2724, 593, 707, 1985, 1072, 1544, 267, 581, 2386, 547, 2638, 856, 938, 3135, 610, 3346, 835, 540, 938, 7874, 8069, 693, 476, 8517, 268, 3607, 277, 268, 22550, 272, 269, 1284, 4076, 5280, 1082, 6800, 538, 4993, 4688, 2724, 593, 741, 9791, 1744, 1752, 4993, 1072, 6142, 676, 6476, 10918, 267, 543, 666, 798, 519, 1482, 585, 596, 563, 268, 4208, 4165, 1335, 4165, 1335, 9791, 9061, 568, 6153, 1280, 2659, 6355, 454, 268, 634, 4165, 1335, 9791, 9061, 31287, 26859, 5358, 585, 14066, 6828, 12697, 454, 268, 4165, 1335, 9791, 9061, 5020, 543, 26225, 15928, 585, 14066, 6828, 12697, 454, 268, 4165, 1335, 9791, 9061, 2405, 322, 718, 585, 14066, 6828, 12697, 454, 268, 4165, 1335, 9791, 9061, 3465, 5524, 15147, 720, 585, 14066, 6828, 12697, 454, 268, 1548, 2052, 519, 4165, 1335, 9791, 9061, 9791, 9315, 623, 17269, 4643, 3629, 2659, 31740, 888, 268, 4165, 1335, 9791, 9061, 14066, 6828, 670, 19616, 2776, 31084, 4643, 454, 268, 2659, 18169, 585, 9540, 6828, 12697, 609, 4165, 1335, 9791, 9061, 454, 268, 32279, 18542, 5999, 6168, 9540, 6828, 5020, 543, 26225, 15928, 454, 268, 7981, 11588, 585, 2659, 31740, 689, 4165, 1335, 9791, 9061, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 1269, 3374, 3213, 1790, 599, 2637, 305, 343, 4643, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 623, 17269, 1269, 2412, 3213, 6261, 599, 4643, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 623, 17269, 1269, 736, 3213, 6261, 599, 4643, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 623, 17269, 476, 12573, 271, 670, 6347, 3281, 26702, 4643, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 1520, 2779, 720, 623, 17269, 1269, 1839, 3213, 6261, 599, 4643, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 623, 17269, 1269, 1015, 3213, 6261, 599, 4643, 454, 268, 3911, 850, 15187, 15482, 5494, 870, 5358, 689, 4165, 1335, 9791, 9061, 454, 268, 4165, 1335, 9791, 9061, 5295, 8564, 670, 19616, 4643, 585, 9540, 20492, 454, 268, 4165, 1335, 9791, 9061, 9540, 6828, 4400, 667, 9254, 551, 1043, 661, 17269, 4643, 454, 268, 24951, 519, 4165, 1335, 9791, 9061, 9540, 6828, 5295, 2657, 8750, 12697, 454, 268, 24951, 519, 4165, 1335, 9791, 9061, 25839, 670, 19616, 4643, 543, 519, 590, 11232, 670, 19616, 4643, 454, 268, 634, 4165, 1335, 9791, 9061, 13245, 26094, 5358, 454, 268, 4165, 1335, 9791, 9061, 6034, 16966, 267, 4325, 9037, 8269, 518, 1537, 543, 17926, 17583, 15789, 454, 268, 24310, 1520, 2779, 720, 12697, 609, 4165, 1335, 9791, 9061, 454, 268, 1548, 6496, 519, 2817, 9730, 585, 10866, 2667, 4269, 1684, 888, 268, 590, 11232, 8564, 15482, 670, 19616, 4643, 689, 4165, 1335, 9791, 9061, 454, 268, 4165, 1335, 9791, 9061, 15937, 5890, 1619, 19940, 5020, 15928, 4643, 0, 25823, 1248, 781, 2706, 3613, 768, 338, 3833, 796, 24160, 569, 2483, 291, 2700, 24964, 9625, 476, 3199, 280, 262, 4281, 279, 262, 8517, 5998, 454, 11947, 12798, 616, 513, 1455, 12136, 593, 3047, 855, 789, 1810, 1405, 1419, 3914, 811, 982, 476, 5611, 14790, 10774, 269, 634, 2594, 568, 4371, 676, 519, 23427, 20676, 821, 9986, 14746, 607, 621, 6410, 2066, 5245, 538, 4989, 476, 1960, 277, 799, 10599, 1229, 519, 2244, 609, 31830, 338, 540, 476, 2412, 279, 5998, 10774, 269, 901, 568, 4986, 3379, 547, 519, 2864, 811, 32668, 543, 4190, 3168, 4541, 21275, 269, 4400, 538, 519, 5790, 540, 713, 3154, 9649, 519, 2842, 11250, 723, 1044, 6027, 693, 513, 31417, 476, 5197, 271, 14790, 10774, 563, 763, 1523, 540, 1018, 3123, 2842, 267, 799, 568, 3927, 519, 2095, 540, 3154, 689, 835, 1747, 547, 1776, 267, 568, 7168, 2241, 547, 1174, 269, 6875, 519, 3047, 585, 1383, 282, 14246, 689, 519, 6129, 646, 1846, 519, 2627, 799, 1287, 538, 2490, 646, 1846, 519, 5790, 538, 3346, 609, 621, 269, 1306, 519, 2011, 2112, 916, 267, 621, 3587, 1447, 10053, 982, 519, 4478, 2011, 4929, 621, 547, 4473, 799, 2164, 538, 606, 1858, 540, 1970, 2604, 607, 1412, 1652, 2011, 262, 568, 1459, 269, 4033, 2627, 2011, 786, 1287, 19060, 538, 547, 3927, 6445, 519, 20704, 2451, 689, 519, 8375, 2011, 543, 649, 1995, 602, 607, 2842, 563, 763, 15420, 649, 1294, 593, 3047, 616, 1175, 3665, 8747, 540, 713, 609, 2127, 540, 3226, 1970, 2604, 693, 519, 8998, 269, 15380, 789, 1106, 936, 519, 12084, 799, 616, 513, 5318, 15395, 540, 1648, 269, 4826, 568, 1360, 1434, 693, 13936, 543, 20808, 19670, 3859, 1648, 543, 922, 713, 2059, 609, 519, 7509, 602, 3947, 15420, 741, 15813, 1379, 563, 4002, 21275, 519, 3665, 15420, 602, 5397, 519, 12798, 616, 1360, 2147, 538, 2497, 547, 1346, 593, 3047, 609, 1970, 2604, 1949, 855, 621, 781, 519, 2707, 540, 519, 1648, 799, 5036, 873, 6306, 269, 5502, 540, 5318, 4703, 540, 1216, 267, 519, 3002, 6117, 519, 15420, 593, 21275, 2501, 689, 2620, 1369, 519, 10785, 4295, 269, 1879, 621, 4646, 1472, 476, 276, 5479, 1296, 3516, 3002, 729, 6383, 950, 519, 4773, 689, 519, 1486, 334, 13807, 534, 8767, 12210, 1835, 14414, 1927, 543, 922, 519, 3500, 855, 11931, 5305, 540, 713, 1648, 799, 814, 9141, 21275, 781, 2706, 3613, 768, 338, 563, 15862, 5491, 8331, 454, 763, 18706, 7236, 14361, 14754, 1101, 1688, 835, 540, 21275, 781, 7542, 665, 1190, 15420, 15029, 621, 729, 28835, 519, 4541, 538, 5412, 476, 1001, 271, 269, 898, 729, 3833, 18822, 2016, 602, 21275, 568, 2356, 5266, 7088, 1863, 267, 7429, 18347, 2705, 519, 18822, 2736, 5795, 19236, 3744, 513, 2189, 5813, 883, 519, 2199, 4365, 1062, 269, 634, 2592, 1397, 519, 7088, 8720, 5176, 476, 275, 5479, 4009, 5998, 543, 2079, 540, 519, 17500, 16716, 4951, 513, 4557, 2053, 811, 30303, 982, 538, 824, 15420, 6594, 2094, 476, 1220, 275, 269, 0, 19119, 540, 3635, 585, 31911, 454, 30048, 568, 513, 2564, 2783, 602, 568, 3361, 1813, 547, 519, 3310, 540, 7378, 543, 849, 1813, 547, 1585, 2188, 971, 607, 25161, 1272, 2511, 267, 1519, 513, 2603, 540, 22938, 3536, 538, 519, 2732, 267, 7050, 4616, 540, 4568, 267, 24494, 16098, 543, 2892, 1540, 22304, 3536, 563, 1607, 568, 849, 3361, 1813, 547, 519, 12150, 4189, 6208, 269, 901, 2564, 2783, 568, 3361, 1813, 547, 1360, 1447, 2534, 543, 8377, 3361, 676, 14968, 269, 901, 1131, 1118, 513, 1268, 547, 581, 811, 12155, 547, 3987, 602, 616, 540, 1614, 2010, 971, 607, 1826, 476, 272, 267, 1826, 476, 273, 543, 29556, 3987, 269, 634, 12150, 6197, 602, 789, 2226, 12662, 873, 693, 1164, 4220, 540, 1373, 15847, 269, 901, 12134, 585, 7525, 4367, 540, 1689, 538, 519, 1268, 781, 1272, 2511, 543, 2834, 5751, 269, 634, 5751, 723, 606, 5044, 540, 2640, 971, 607, 519, 5205, 912, 268, 898, 814, 519, 2702, 547, 1852, 519, 1377, 540, 1973, 4006, 2157, 607, 519, 5751, 2569, 519, 7280, 538, 1973, 563, 268, 20113, 616, 849, 1634, 547, 6175, 519, 4187, 2298, 540, 519, 2281, 547, 7378, 543, 3142, 621, 1394, 547, 3339, 3928, 563, 268, 898, 849, 2337, 547, 2333, 519, 28491, 15466, 2238, 602, 1131, 538, 2490, 2061, 3625, 538, 519, 16209, 267, 2295, 4323, 543, 13685, 540, 8482, 538, 31911, 563, 268, 20113, 960, 1927, 609, 519, 1560, 547, 6175, 519, 2360, 3361, 676, 1022, 3978, 2564, 2042, 543, 4249, 606, 2500, 1909, 538, 1225, 6883, 621, 563, 268, 898, 849, 24506, 519, 1973, 2604, 267, 519, 2295, 2042, 267, 11527, 8460, 519, 1377, 540, 27831, 1938, 799, 568, 6382, 1572, 519, 3983, 8501, 563, 268, 20113, 616, 849, 1634, 547, 2333, 519, 1434, 8501, 849, 1634, 607, 519, 31613, 602, 2640, 519, 1560, 543, 4249, 513, 4105, 1909, 538, 4509, 519, 4006, 2157, 538, 519, 1560, 543, 3217, 1434, 1416, 540, 519, 2295, 563, 268, 20113, 2306, 513, 15847, 1268, 547, 3251, 3514, 543, 28489, 543, 849, 7512, 873, 547, 1397, 513, 2631, 540, 1582, 6015, 543, 1628, 909, 2603, 540, 2318, 4606, 3330, 602, 1131, 29295, 741, 2247, 543, 1560, 543, 14867, 873, 689, 519, 1745, 540, 1373, 513, 15847, 1268, 563, 268, 20113, 616, 1898, 547, 723, 513, 1852, 936, 519, 1560, 2597, 2744, 540, 513, 1268, 543, 849, 1118, 873, 547, 2226, 741, 1072, 543, 519, 4006, 1377, 16856, 1510, 1022, 15088, 269, 901, 1259, 789, 666, 1745, 10069, 2213, 543, 547, 723, 1434, 1377, 540, 10610, 7136, 12039, 563, 268, 8617, 15904, 20816, 616, 1634, 547, 2569, 519, 1981, 540, 3987, 676, 476, 736, 2600, 1247, 519, 824, 476, 3199, 2600, 568, 3144, 1416, 540, 676, 519, 6527, 563, 268, 20113, 1118, 519, 7633, 267, 10549, 543, 6091, 2635, 267, 9522, 539, 543, 2922, 269, 901, 2306, 519, 1268, 3251, 1360, 8465, 543, 2635, 269, 0, 16248, 5439, 616, 2356, 2808, 547, 581, 2614, 585, 4152, 519, 31824, 540, 513, 1257, 269, 6787, 519, 6074, 3732, 568, 11347, 5673, 593, 519, 3732, 2450, 269, 21452, 267, 1114, 1106, 27909, 2154, 1114, 3732, 7306, 563, 763, 654, 4883, 564, 6390, 4542, 267, 2813, 676, 631, 8475, 966, 690, 601, 543, 2961, 13987, 25169, 10767, 928, 538, 476, 4572, 279, 267, 3340, 513, 3732, 540, 476, 1911, 271, 1913, 269, 634, 700, 5282, 3367, 1464, 12039, 630, 3707, 275, 1070, 674, 956, 577, 7335, 661, 848, 630, 3707, 279, 1070, 717, 7342, 779, 674, 690, 12039, 630, 4198, 273, 264, 543, 674, 787, 8641, 630, 3192, 278, 264, 2154, 513, 3732, 540, 827, 476, 1911, 1913, 269, 16452, 32511, 2795, 4802, 779, 15382, 8104, 630, 3422, 280, 264, 3096, 513, 476, 1789, 1606, 27542, 3732, 269, 634, 11123, 290, 17129, 4542, 540, 11123, 323, 267, 11404, 2643, 528, 543, 5254, 32218, 630, 3192, 274, 264, 2115, 513, 3732, 540, 476, 5611, 1913, 269, 634, 1007, 667, 1446, 16644, 718, 4542, 630, 1960, 276, 264, 2115, 606, 3169, 476, 1911, 30087, 3732, 563, 7712, 513, 4542, 568, 1152, 513, 8579, 1907, 602, 21410, 519, 16977, 3446, 1377, 540, 513, 11347, 3732, 267, 621, 5205, 602, 513, 10156, 3732, 568, 1034, 2693, 547, 6556, 606, 25619, 1267, 269, 13281, 519, 2407, 1257, 610, 7446, 3677, 5439, 949, 10018, 1732, 2164, 269, 1717, 267, 20831, 4149, 9618, 1255, 1336, 602, 513, 2048, 2381, 3065, 540, 5216, 5439, 3812, 31824, 8464, 2147, 547, 519, 4102, 5439, 8730, 2687, 547, 14639, 928, 590, 269, 5668, 543, 28089, 667, 1446, 630, 7343, 21043, 589, 540, 3367, 1464, 4860, 529, 1243, 281, 634, 1715, 667, 1446, 16644, 718, 3367, 1464, 16754, 1916, 3719, 1018, 568, 519, 6099, 3732, 2450, 286, 589, 476, 1911, 271, 30087, 3732, 568, 4443, 547, 1449, 982, 513, 2407, 1257, 282, 513, 476, 1911, 30087, 3732, 6971, 519, 4305, 676, 513, 20870, 282, 543, 513, 476, 1015, 30087, 3732, 1131, 581, 15673, 532, 8197, 585, 1346, 945, 1616, 2656, 2164, 269, 2913, 721, 2119, 267, 1498, 593, 513, 1507, 4336, 267, 547, 1265, 856, 519, 6099, 3732, 2450, 585, 12719, 23066, 6988, 267, 799, 568, 2356, 5462, 676, 519, 3259, 540, 519, 1913, 538, 513, 1257, 563, 296, 13603, 909, 10162, 12245, 667, 22844, 779, 4223, 843, 320, 543, 7229, 519, 3328, 1297, 540, 24424, 829, 2262, 630, 3008, 310, 264, 593, 513, 3732, 540, 519, 1101, 476, 1911, 271, 1913, 540, 3848, 594, 630, 763, 24153, 2986, 7734, 1040, 1703, 941, 476, 15389, 277, 24424, 543, 267, 4061, 267, 6789, 310, 815, 476, 272, 269, 4391, 277, 269, 594, 1287, 5258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 772, 2529, 269, 4972, 540, 6052, 849, 616, 538, 519, 1568, 2429, 519, 772, 2529, 269, 543, 1058, 581, 6192, 936, 519, 1985, 1906, 1296, 269, 32114, 513, 3484, 3902, 540, 1269, 6344, 270, 2023, 928, 267, 6467, 24124, 26005, 1683, 519, 1482, 1942, 585, 8022, 607, 3282, 693, 476, 1839, 21347, 829, 1396, 516, 269, 8092, 729, 8589, 5186, 680, 663, 602, 1131, 723, 11727, 585, 519, 11094, 15944, 5358, 269, 476, 1220, 279, 269, 634, 6052, 14412, 543, 8232, 2920, 540, 476, 1220, 278, 31433, 519, 946, 540, 476, 1911, 2929, 17529, 540, 1591, 592, 657, 545, 6915, 325, 3241, 676, 476, 1001, 271, 267, 7654, 811, 982, 786, 581, 3812, 267, 3131, 12541, 1767, 269, 476, 1220, 278, 269, 7102, 8369, 267, 4681, 267, 8753, 267, 610, 7840, 6829, 538, 713, 8313, 616, 1346, 540, 519, 2278, 4433, 264, 543, 798, 711, 8209, 2992, 519, 2070, 540, 519, 772, 2529, 269, 4972, 540, 11982, 269, 21558, 267, 4460, 267, 18238, 700, 1513, 517, 267, 23745, 667, 1446, 267, 7812, 15651, 267, 715, 987, 3570, 601, 5682, 324, 543, 10557, 10370, 526, 269, 8074, 602, 621, 568, 711, 2943, 2312, 4010, 875, 1454, 540, 519, 32486, 1591, 592, 657, 545, 6915, 325, 3241, 946, 519, 2229, 786, 5555, 2154, 269, 13891, 333, 987, 267, 12213, 18885, 267, 3203, 11037, 700, 269, 853, 334, 2131, 518, 543, 14731, 631, 269, 661, 653, 4802, 269, 12824, 6035, 513, 23019, 9183, 602, 1249, 1819, 538, 6283, 543, 19844, 2504, 3790, 269, 715, 22021, 5777, 941, 6059, 676, 17501, 513, 7678, 1467, 547, 476, 1220, 271, 268, 1001, 272, 8770, 3902, 1239, 543, 10442, 602, 1899, 693, 519, 1032, 476, 1001, 271, 269, 5502, 267, 621, 781, 607, 2653, 607, 4466, 856, 519, 3099, 602, 1568, 1655, 1280, 2659, 9351, 630, 2865, 2693, 29190, 769, 9412, 1070, 543, 1287, 4444, 476, 279, 268, 1015, 258, 338, 829, 23505, 585, 9584, 5301, 543, 476, 276, 268, 277, 258, 338, 829, 23505, 585, 7320, 3382, 269, 2311, 513, 5934, 267, 789, 786, 723, 547, 2628, 693, 2547, 922, 1871, 607, 13184, 3049, 267, 799, 568, 4397, 547, 581, 827, 1269, 4817, 829, 9522, 540, 20336, 630, 3225, 20884, 547, 1269, 10695, 829, 9522, 540, 476, 1428, 260, 268, 15879, 626, 675, 18720, 1040, 634, 4610, 1031, 538, 519, 1353, 941, 538, 27228, 2282, 2311, 330, 8657, 267, 15867, 1111, 517, 267, 18039, 543, 19958, 282, 538, 3162, 21241, 2282, 4400, 3467, 267, 30290, 267, 15049, 517, 543, 6599, 534, 282, 543, 538, 3345, 21241, 2282, 6790, 2678, 543, 22540, 269, 901, 512, 731, 1465, 568, 1813, 547, 519, 1249, 602, 7372, 1382, 543, 1646, 3646, 723, 865, 2484, 8959, 547, 1711, 7318, 267, 4853, 8397, 2029, 585, 519, 2352, 1184, 540, 7432, 1591, 592, 657, 545, 2326, 883, 6915, 30669, 269, 17389, 15927, 267, 1696, 620, 267, 6027, 4679, 538, 3037, 3327, 3524, 652, 1674, 896, 6467, 24124, 543, 1336, 606, 3328, 2333, 540, 476, 272, 269, 272, 27002, 595, 270, 3873, 267, 799, 693, 519, 1871, 519, 772, 2529, 269, 7025, 10466, 10837, 4025, 593, 3327, 12998, 20214, 267, 1131, 581, 4502, 1269, 7918, 829, 23505, 630, 19925, 1269, 1428, 829, 9522, 1040, 13575, 267, 593, 8589, 5186, 680, 663, 602, 666, 3132, 8970, 693, 11729, 2362, 982, 476, 2568, 547, 476, 3583, 1668, 515, 3149, 829, 23505, 267, 8970, 568, 2693, 547, 581, 811, 19311, 269, 634, 4611, 5777, 585, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 264, 941, 476, 1220, 280, 269, 901, 3490, 9183, 17648, 6467, 24124, 568, 11720, 539, 693, 1269, 4792, 829, 9522, 543, 18720, 11720, 539, 693, 1269, 4037, 829, 9522, 630, 18485, 693, 3044, 7509, 2175, 1040, 22732, 24124, 568, 513, 3636, 4005, 267, 5065, 19619, 6371, 269, 21277, 1027, 519, 1482, 2179, 540, 6052, 607, 476, 1911, 17529, 540, 1591, 592, 657, 545, 6052, 7031, 3379, 12397, 269, 13651, 256, 1772, 1269, 476, 4037, 269, 876, 20430, 9436, 2557, 2360, 593, 13947, 11729, 543, 8770, 5888, 540, 11934, 16374, 1862, 3657, 538, 5106, 267, 1519, 519, 1942, 540, 6671, 10173, 585, 6705, 3902, 1239, 543, 602, 256, 2201, 2244, 602, 568, 8589, 585, 4737, 2275, 1886, 2504, 4437, 648, 325, 1456, 476, 274, 281, 26316, 268, 17734, 2121, 2132, 829, 2807, 589, 10257, 3328, 568, 827, 1269, 476, 3607, 269, 4037, 829, 9522, 538, 519, 2136, 2807, 1280, 4737, 2275, 1886, 2504, 2249, 267, 519, 2244, 1942, 1131, 4137, 538, 693, 1269, 476, 3451, 547, 1269, 476, 5655, 9522, 269, 4107, 2693, 581, 3812, 543, 30630, 585, 513, 3902, 540, 1269, 476, 5611, 19072, 307, 1510, 31433, 267, 1591, 592, 657, 545, 19844, 2371, 616, 5106, 1862, 1772, 811, 23019, 267, 7025, 8177, 267, 543, 11379, 829, 2148, 942, 538, 23399, 609, 824, 2807, 1280, 6881, 693, 519, 1032, 476, 1001, 271, 2352, 547, 1020, 568, 849, 606, 19844, 2030, 538, 28011, 901, 2344, 568, 1932, 1007, 547, 28761, 3313, 519, 1871, 540, 6467, 24124, 585, 23511, 1656, 4006, 1354, 621, 666, 581, 25496, 883, 4568, 6467, 24124, 607, 1591, 592, 657, 545, 3049, 18450, 29156, 519, 19993, 3498, 256, 634, 3803, 2504, 1942, 829, 9522, 593, 8589, 11934, 547, 1269, 476, 5655, 9522, 1862, 5530, 547, 4266, 593, 12570, 519, 2804, 3790, 540, 1269, 476, 5611, 19072, 307, 6467, 24124, 3902, 829, 9522, 21347, 1396, 516, 256, 476, 2412, 829, 9522, 547, 827, 1269, 476, 3607, 269, 4037, 829, 9522, 538, 513, 3377, 5305, 519, 256, 17897, 267, 5065, 19619, 6371, 543, 568, 835, 540, 519, 6371, 7031, 15469, 607, 1591, 592, 657, 545, 269, 22210, 539, 267, 971, 607, 538, 513, 3377, 5305, 689, 519, 22340, 2817, 4659, 540, 5253, 543, 2807, 31245, 616, 9846, 1657, 1269, 476, 8099, 829, 22902, 269, 13651, 26115, 581, 25496, 883, 4568, 281, 1239, 2201, 6363, 1301, 269, 9796, 585, 6467, 24124, 607, 1591, 592, 657, 545, 3049, 18450, 23019, 267, 693, 476, 2004, 21347, 829, 1396, 516, 543, 2067, 3154, 5777, 616, 11173, 4473, 269, 4024, 5555, 2154, 4398, 267, 7025, 8177, 267, 543, 3154, 2305, 3738, 941, 1269, 476, 7918, 9522, 268, 272, 18312, 11934, 23463, 1862, 18238, 700, 1513, 517, 267, 23745, 667, 1446, 267, 7812, 15651, 267, 715, 987, 3570, 601, 5682, 324, 543, 10557, 2807, 32163, 725, 267, 8589, 18839, 540, 824, 7791, 10173, 4437, 648, 325, 1456, 476, 274, 281, 26316, 268, 17734, 267, 11811, 267, 543, 7605, 27508, 946, 269, 3657, 3144, 856, 547, 3715, 519, 6467, 24124, 1796, 3040, 2169, 1905, 565, 730, 3484, 10766, 3790, 476, 1015, 256, 2201, 3328, 11729, 3790, 24132, 689, 1175, 936, 1269, 476, 2412, 829, 9522, 6920, 602, 585, 1034, 540, 519, 32486, 6915, 325, 3241, 1862, 8092, 1942, 1131, 4137, 538, 693, 1269, 476, 1220, 829, 23505, 3144, 856, 547, 519, 256, 13560, 883, 20566, 543, 4006, 1354, 621, 666, 581, 3812, 593, 2244, 602, 568, 8589, 585, 4737, 2275, 1886, 2807, 5240, 5305, 689, 519, 22340, 2817, 4659, 540, 5253, 543, 11982, 1396, 516, 543, 2067, 3154, 616, 269, 589, 5010, 4336, 814, 1044, 2352, 547, 1020, 666, 581, 3812, 543, 30630, 585, 513, 540, 269, 15232, 3395, 6467, 24124, 1185, 519, 9803, 2504, 3790, 6059, 693, 1269, 476, 3451, 547, 1269, 476, 3393, 829, 267, 256, 476, 7918, 9522, 268, 272, 23505, 6467, 24124, 6556, 547, 9414, 267, 6467, 24124, 3902, 829, 9522, 5595, 7556, 1062, 982, 24222, 3026, 321, 1421, 855, 568, 9862, 547, 513, 1979, 648, 325, 10320, 267, 6862, 519, 3790, 547, 1184, 538, 269, 21277, 806, 476, 278, 267, 4335, 31641, 308, 1412, 338, 829, 11013, 547, 827, 1269, 476, 3451, 269, 2004, 829, 9522, 267, 543, 11379, 1034, 540, 519, 267, 256, 29119, 817, 11729, 543, 8770, 5888, 7025, 2418, 593, 6601, 820, 1597, 3902, 540, 1269, 476, 3374, 270, 308, 2529, 6467, 24124, 609, 1699, 2029, 9775, 267, 568, 269, 645, 1421, 28741, 8291, 594, 269, 808, 4526, 267, 570, 2077, 1090, 744, 5848, 4609, 267, 855, 513, 10257, 3328, 568, 21718, 829, 28011, 634, 772, 17980, 2030, 568, 13234, 676, 606, 24988, 540, 918, 299, 1184, 5071, 6828, 20941, 21826, 1862, 19881, 1995, 3395, 6467, 24124, 1185, 519, 9803, 2504, 3790, 540, 6721, 6467, 24124, 609, 1699, 2029, 9775, 267, 513, 1862, 8616, 2312, 4010, 875, 1454, 540, 519, 6371, 7031, 15469, 607, 513, 1591, 592, 657, 545, 3049, 18450, 256, 634, 476, 1001, 271, 268, 1001, 272, 8022, 4005, 267, 5065, 19619, 6371, 543, 568, 835, 540, 938, 1034, 1271, 7381, 3636, 4005, 2807, 17677, 7556, 1062, 811, 982, 476, 9873, 2929, 17529, 540, 1591, 592, 657, 545, 19844, 829, 2807, 17389, 15927, 267, 631, 6993, 1421, 631, 10611, 269, 13651, 5576, 1067, 267, 918, 10422, 269, 13651, 966, 690, 601, 543, 681, 11065, 269, 13651, 27508, 609, 1699, 2029, 9775, 855, 256, 4746, 3379, 2504, 3790, 6059, 693, 1269, 476, 3451, 547, 1269, 476, 3393, 829, 23505, 267, 610, 1269, 476, 1789, 829, 23505, 2807, 8496, 16852, 267, 2311, 592, 27454, 543, 20900, 20182, 12213, 18885, 267, 3203, 11037, 700, 269, 853, 334, 2131, 518, 543, 631, 907, 1924, 2812, 543, 16374, 1519, 5070, 2640, 1331, 4389, 3037, 11761, 543, 13226, 20359, 267, 2799, 3037, 5214, 602, 269, 8092, 729, 8589, 5186, 680, 663, 602, 1131, 723, 11727, 585, 519, 11094, 15944, 5358, 946, 519, 2229, 786, 2154, 256, 11829, 976, 540, 1591, 592, 657, 545, 6052, 7031, 3379, 609, 12397, 269, 13651, 267, 10609, 13860, 267, 8496, 16852, 267, 2311, 592, 27454, 543, 20900, 20182, 711, 2178, 1862, 476, 5655, 829, 9522, 547, 827, 1269, 476, 3451, 269, 2004, 829, 9522, 267, 621, 729, 1269, 476, 271, 269, 3445, 829, 2148, 2121, 2132, 20267, 732, 256, 2549, 677, 1242, 693, 606, 1719, 2557, 540, 476, 279, 4939, 936, 519, 7305, 476, 272, 3970, 519, 2179, 602, 21932, 616, 8348, 2628, 1862, 631, 4869, 999, 609, 824, 25165, 267, 2107, 1633, 334, 267, 18919, 267, 476, 274, 268, 276, 4924, 1421, 476, 1001, 274, 3597, 1062, 6467, 24124, 256, 634, 7305, 476, 272, 5777, 616, 9846, 1657, 1269, 476, 8099, 829, 22902, 269, 13651, 26115, 5310, 538, 2127, 602, 723, 7791, 1922, 3241, 14769, 4170, 1862, 29120, 585, 6881, 693, 519, 8828, 16581, 661, 517, 15299, 5948, 5993, 20051, 267, 2107, 1633, 334, 267, 18919, 476, 274, 268, 276, 1862, 3807, 936, 1269, 476, 2412, 829, 9522, 568, 1269, 476, 4037, 269, 876, 20430, 1705, 711, 8428, 1454, 267, 609, 1034, 1373, 519, 1862, 8177, 267, 543, 593, 3328, 11729, 645, 12282, 5861, 809, 267, 631, 14389, 14389, 1359, 267, 808, 8160, 657, 8932, 829, 2148, 661, 517, 15299, 5948, 5993, 267, 256, 634, 1871, 540, 6467, 24124, 18720, 3812, 519, 1482, 2179, 540, 6052, 607, 476, 1911, 17529, 540, 1591, 592, 657, 545, 19844, 568, 12691, 581, 256, 634, 1967, 540, 1591, 592, 657, 545, 19844, 568, 711, 2943, 2312, 4010, 875, 1454, 540, 519, 2249, 267, 519, 6467, 24124, 835, 269, 12877, 26299, 3974, 267, 543, 5207, 4397, 6556, 267, 9803, 1942, 829, 9522, 568, 1269, 20430, 1862, 19578, 5186, 680, 663, 13991, 547, 6467, 24124, 28642, 267, 23718, 918, 1421, 8845, 631, 269, 4210, 15586, 267, 543, 1184, 9297, 585, 13947, 269, 3397, 1258, 558, 1235, 3238, 538, 519, 16592, 29268, 616, 538, 5106, 267, 1519, 29230, 3974, 543, 18829, 267, 11783, 22210, 539, 267, 971, 607, 3574, 4393, 3653, 2136, 2276, 568, 4922, 10924, 602, 6467, 24124, 26005, 666, 581, 25496, 883, 2807, 13937, 13238, 8259, 19386, 5777, 616, 9846, 1657, 1269, 476, 8099, 829, 22902, 269, 13651, 26115, 476, 4037, 269, 876, 256, 9400, 267, 26366, 996, 966, 690, 601, 267, 6742, 344, 5576, 1067, 267, 543, 1184, 9297, 585, 9921, 13947, 17975, 3813, 523, 926, 657, 269, 13651, 28011, 631, 10611, 269, 13651, 5576, 1067, 267, 918, 10422, 269, 13651, 966, 690, 601, 543, 681, 11065, 269, 13651, 27508, 6283, 10173, 543, 5201, 3842, 3728, 7510, 26299, 3974, 543, 19558, 549, 22422, 543, 2916, 936, 256, 2334, 1522, 1689, 538, 519, 6467, 24124, 547, 513, 1979, 648, 325, 10320, 267, 6862, 519, 3790, 547, 3560, 519, 6467, 24124, 907, 14333, 517, 267, 667, 15660, 3597, 1062, 540, 6467, 24124, 18720, 3812, 519, 1482, 2179, 540, 6052, 607, 476, 1911, 17529, 540, 19844, 269, 645, 1749, 1705, 711, 8428, 1454, 267, 609, 1034, 1373, 538, 519, 1979, 648, 325, 10320, 1032, 476, 1001, 271, 606, 19844, 2030, 772 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8374, 666, 2049, 2437, 3220, 269, 17384, 13657, 539, 269, 834, 21206, 4791, 1702, 1131, 948, 547, 3313, 519, 1655, 10457, 585, 667, 7034, 3797, 543, 3715, 4998, 14242, 6724, 4799, 4002, 4728, 476, 1321, 267, 476, 1001, 271, 267, 606, 15111, 28007, 8470, 5227, 13170, 540, 667, 7034, 538, 519, 18751, 13540, 540, 555, 31726, 607, 1373, 2922, 543, 2500, 585, 2550, 609, 4049, 543, 18195, 800, 9864, 17465, 609, 610, 1510, 6281, 31633, 563, 20684, 281, 834, 16978, 3740, 14242, 540, 519, 18751, 13540, 540, 555, 31726, 585, 2126, 540, 18195, 800, 20560, 1701, 7917, 17384, 267, 30647, 31980, 6428, 534, 13960, 267, 7338, 654, 8636, 267, 7917, 29247, 267, 7338, 8361, 267, 7917, 24162, 267, 17833, 541, 1157, 531, 744, 2174, 523, 267, 25909, 744, 7717, 1470, 267, 808, 2737, 9294, 345, 16619, 267, 19958, 6997, 541, 267, 7812, 18087, 5902, 339, 267, 7812, 590, 704, 1782, 267, 5345, 534, 9995, 758, 267, 3627, 3026, 531, 267, 1520, 6929, 7435, 1721, 628, 267, 3627, 590, 1181, 267, 21293, 1546, 306, 718, 525, 267, 19378, 932, 2426, 267, 12448, 2701, 339, 614, 267, 5213, 3534, 19161, 523, 267, 20858, 25234, 599, 267, 808, 2727, 773, 26673, 3205, 267, 10496, 638, 5202, 3943, 267, 23583, 15707, 1276, 267, 5261, 25347, 26709, 267, 12448, 1411, 330, 18442, 267, 5261, 29485, 267, 6754, 25661, 807, 267, 12832, 15614, 4446, 8663, 334, 267, 26637, 674, 20667, 267, 14161, 645, 1794, 559, 267, 7917, 6153, 2006, 267, 24053, 21025, 327, 2335, 267, 918, 269, 9040, 340, 25421, 5864, 584, 20321, 267, 24697, 14466, 822, 817, 8270, 537, 267, 8176, 9210, 7322, 267, 3627, 15724, 731, 267, 23436, 570, 16093, 267, 29315, 13983, 16535, 267, 7917, 3213, 742, 5674, 267, 715, 2088, 3400, 1407, 267, 543, 519, 590, 3198, 15288, 5530, 6828, 269, 9210, 850, 1186, 807, 282, 15618, 7216, 6732, 281, 4728, 476, 1240, 267, 476, 1001, 271, 630, 23077, 296, 281, 476, 1015, 269, 9340, 272, 10768, 269, 13923, 279, 268, 14138, 278, 269, 1001, 271, 269, 28276, 3607, 11859, 1916, 1607, 1353, 568, 3370, 538, 9210, 850, 1186, 807, 269, 9012, 530, 5109, 547, 4309, 513, 7300, 540, 713, 2376, 949, 3346, 4757, 11333, 2593, 454, 22977, 850, 1186, 807, 568, 519, 3056, 267, 1034, 22265, 2707, 585, 1699, 4791, 543, 1382, 2164, 593, 782, 3344, 540, 20560, 269, 1306, 519, 4760, 540, 519, 4139, 13477, 18830, 9210, 17952, 267, 32224, 1169, 3923, 786, 2689, 3621, 2963, 543, 4791, 12191, 538, 281, 4791, 11719, 344, 267, 5778, 31850, 5735, 267, 7636, 7350, 267, 5778, 574, 1645, 267, 5778, 322, 13511, 267, 5778, 338, 29864, 267, 14278, 1108, 267, 5778, 788, 573, 655, 5735, 267, 543, 9354, 8062, 269, 1280, 811, 1344, 267, 5225, 3643, 5291, 2517, 4178, 274, 23357, 1562, 7220, 9884, 13704, 2593, 10768, 16067, 270, 14056, 4817, 278, 22213, 10774, 727, 454, 310, 13704, 5174, 331, 871, 6202, 568, 519, 3486, 3621, 267, 2930, 267, 2564, 267, 543, 14046, 13629, 1870, 540, 3627, 25067, 1299, 25860, 267, 609, 9342, 538, 1169, 2101, 4081, 543, 3318, 2361, 543, 12352, 609, 1082, 540, 519, 1158, 781, 3056, 7239, 269, 25067, 5174, 331, 871, 6202, 32245, 5176, 476, 272, 267, 4335, 9263, 24595, 13746, 543, 476, 272, 267, 4335, 266, 1007, 2835, 12422, 538, 1820, 543, 2228, 267, 607, 1134, 607, 12240, 267, 2101, 4704, 1568, 543, 8047, 10873, 269, 1280, 811, 1344, 267, 5225, 3643, 8940, 9884, 13704, 18872, 6202, 2593, 610, 8940, 23357, 1562, 7220, 9884, 13704, 2593, 563, 291, 11921, 22642, 1923, 31823, 2336, 25648, 4458, 1353, 9060, 1412, 32718, 26105, 262, 540, 20342, 936, 1158, 781, 2101, 6694, 2127, 454, 1704, 269, 6734, 269, 1001, 278, 1923, 2160, 540, 15930, 454, 30048, 10684, 2904, 13724, 24942, 15310, 14001, 4347, 31637, 540, 674, 847, 675, 23046, 454, 1704, 269, 6734, 269, 1001, 278, 1923, 1546, 7491, 2583, 2382, 26623, 24166, 21321, 7564, 15590, 31258, 325, 832, 577, 2426, 623, 1824, 17043, 268, 3725, 327, 1962, 6686, 322, 651, 454, 22349, 1258, 12002, 689, 12844, 333, 543, 570, 2246, 29118, 538, 774, 1005, 807, 630, 30051, 264, 1031, 519, 476, 1911, 2173, 5925, 16263, 693, 20306, 1564, 6199, 547, 7747, 1896, 14925, 13421, 269, 2311, 519, 8728, 540, 891, 1804, 7213, 2827, 540, 4158, 2339, 267, 24974, 1949, 630, 6549, 1314, 625, 1070, 3905, 3154, 267, 543, 9901, 5536, 267, 789, 1336, 6419, 4610, 602, 616, 24215, 10288, 936, 9883, 540, 1082, 2929, 1769, 1296, 269, 901, 2306, 873, 519, 1034, 6905, 6419, 4610, 538, 519, 7122, 1634, 865, 2484, 563, 763, 2164, 786, 581, 3370, 593, 4728, 476, 2420, 538, 519, 4760, 29770, 22349, 25348, 1299, 8330, 5268, 12695, 2108, 563, 29727, 25404, 13421, 616, 519, 4102, 28040, 2787, 958, 3808, 3889, 538, 519, 7122, 269, 2060, 513, 6093, 6708, 540, 827, 476, 1015, 2929, 1769, 1296, 267, 1775, 4318, 269, 476, 1911, 2053, 519, 2483, 12867, 693, 519, 3619, 9220, 2160, 7671, 31060, 267, 1927, 609, 4891, 689, 519, 2160, 540, 570, 6686, 6883, 523, 538, 5125, 543, 10348, 6307, 2160, 607, 1134, 607, 14731, 595, 4459, 4659, 689, 5507, 630, 20084, 264, 723, 2919, 513, 3209, 2029, 547, 21264, 519, 5728, 21866, 514, 3009, 563, 308, 321, 19891, 514, 568, 513, 1507, 3940, 602, 666, 581, 5532, 547, 824, 10408, 5946, 267, 7551, 9013, 543, 1110, 6819, 741, 3252, 269, 634, 13613, 4386, 538, 1082, 2483, 1103, 519, 18163, 3406, 585, 1985, 5108, 1164, 3887, 11797, 3859, 2281, 543, 27178, 267, 3744, 693, 11968, 1325, 32115, 2817, 12524, 543, 741, 4891, 616, 2870, 2483, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 1447, 7123, 269, 3767, 3173, 693, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 264, 723, 267, 585, 519, 1101, 942, 2479, 267, 3812, 513, 12432, 1570, 9256, 13339, 23282, 19298, 543, 513, 12249, 602, 568, 1312, 11158, 15033, 543, 2653, 547, 1184, 269, 901, 6770, 519, 3744, 513, 1713, 1900, 6251, 547, 4853, 3156, 899, 8465, 10525, 543, 6337, 839, 832, 563, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 2483, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 18082, 891, 16876, 2067, 2175, 538, 5841, 5738, 2873, 585, 519, 1101, 942, 269, 1306, 4080, 538, 519, 4081, 4760, 9540, 267, 519, 2164, 616, 5356, 1732, 5813, 883, 519, 1646, 540, 6289, 648, 716, 832, 543, 5841, 31759, 563, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 2483, 736, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 1691, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 5881, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5020, 7070, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5295, 543, 15379, 7177, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 3047, 7070, 0, 763, 1007, 1353, 568, 3366, 676, 700, 1054, 541, 853, 1090, 2742, 689, 519, 2274, 30519, 714, 4659, 540, 13149, 7070, 630, 9281, 300, 8566, 292, 6865, 2752, 264, 538, 918, 1408, 267, 5125, 267, 543, 568, 1071, 22052, 23482, 676, 3967, 564, 590, 2745, 718, 267, 513, 2168, 5836, 19212, 693, 2480, 23774, 338, 7909, 2762, 543, 1866, 563, 763, 3173, 1336, 998, 2079, 540, 513, 6538, 540, 5836, 5135, 7403, 602, 2157, 538, 9341, 12084, 693, 513, 3178, 540, 476, 4968, 547, 476, 10384, 7397, 630, 280, 5952, 547, 476, 273, 267, 4968, 3952, 264, 723, 17379, 1282, 519, 2250, 476, 2004, 1296, 269, 634, 8733, 5222, 540, 713, 2333, 1223, 723, 8101, 6211, 543, 22237, 4539, 563, 14071, 1336, 519, 4102, 5786, 538, 513, 3178, 540, 476, 4968, 547, 476, 10384, 7397, 630, 280, 5952, 547, 476, 273, 267, 4968, 3952, 264, 538, 519, 9341, 22583, 9533, 267, 6466, 519, 2242, 538, 519, 9456, 4095, 7909, 941, 1454, 1447, 14733, 2223, 1767, 853, 1090, 2742, 269, 968, 15371, 610, 711, 891, 4767, 2242, 538, 5135, 666, 581, 11911, 547, 2518, 8337, 4805, 568, 1869, 796, 637, 9407, 269, 634, 5786, 538, 5135, 949, 849, 581, 3361, 676, 2067, 3157, 593, 10156, 942, 10253, 3034, 306, 2745, 718, 1767, 519, 5135, 1790, 3233, 2127, 723, 519, 1761, 547, 1847, 883, 9381, 2127, 3842, 14768, 602, 2095, 689, 519, 4571, 3829, 9341, 12084, 267, 1141, 519, 5135, 2242, 941, 4767, 267, 543, 2059, 519, 7178, 5032, 540, 17407, 563, 10527, 8700, 540, 519, 1970, 268, 2135, 4723, 7997, 568, 9750, 4514, 855, 849, 15524, 2718, 4724, 519, 5836, 2627, 2223, 1767, 590, 2745, 718, 267, 513, 11285, 538, 11287, 2242, 540, 13441, 525, 538, 5836, 3601, 971, 607, 3002, 3892, 563, 306, 2745, 718, 8329, 1239, 547, 519, 1353, 10356, 1282, 2487, 2267, 2478, 17298, 607, 851, 540, 519, 8693, 7352, 1464, 543, 21023, 1464, 630, 12710, 4353, 2752, 264, 1982, 267, 513, 1279, 8573, 7342, 1353, 13234, 676, 519, 2622, 8693, 3194, 19510, 602, 11394, 547, 1174, 2916, 998, 5836, 27408, 4380, 1877, 4205, 563, 763, 1353, 267, 968, 22091, 21505, 27488, 5336, 514, 3065, 2098, 2158, 538, 519, 23427, 744, 10895, 2223, 5526, 538, 519, 2904, 476, 273, 7160, 540, 519, 4760, 3163, 269, 634, 1382, 2319, 2882, 853, 1090, 2742, 267, 590, 2745, 718, 267, 30857, 10196, 27068, 9652, 267, 543, 5292, 12027, 15011, 337, 3128, 345, 689, 519, 4659, 585, 27397, 7256, 3194, 538, 2782, 26937, 6686, 526, 324, 267, 5125, 563, 763, 2319, 5697, 5836, 4525, 585, 799, 789, 1223, 3489, 519, 6574, 2179, 540, 1239, 547, 3561, 519, 7771, 538, 5135, 269, 2368, 540, 519, 811, 2487, 1239, 3357, 689, 5135, 8596, 799, 723, 1044, 3773, 547, 827, 476, 5611, 540, 519, 27992, 6083, 1846, 1031, 538, 1488, 2998, 267, 513, 5001, 3060, 540, 8596, 602, 3950, 2596, 5836, 2175, 971, 607, 2837, 543, 24952, 269, 1703, 616, 811, 982, 476, 274, 267, 1822, 1488, 2998, 6083, 1846, 5665, 538, 519, 1158, 779, 12084, 267, 543, 590, 2745, 718, 1767, 519, 2298, 540, 519, 1239, 10356, 676, 519, 1488, 2998, 6083, 1846, 5267, 602, 811, 4559, 538, 519, 3060, 1058, 581, 28459, 1540, 609, 5135, 8596, 563, 299, 13453, 2274, 9109, 267, 513, 6211, 5836, 19212, 693, 2480, 23774, 338, 7909, 2762, 945, 2090, 5135, 15902, 3065, 10851, 602, 18448, 519, 13837, 331, 3233, 267, 1767, 606, 7269, 540, 5135, 15902, 3065, 10851, 538, 519, 12084, 1223, 1291, 547, 21022, 9265, 543, 547, 519, 9450, 14778, 540, 7103, 602, 723, 9862, 547, 2661, 538, 3834, 16464, 267, 610, 5135, 1790, 3233, 7297, 563, 14881, 1589, 621, 779, 17946, 14975, 8513, 2223, 1767, 2274, 9109, 267, 945, 729, 711, 28337, 609, 519, 1353, 269, 968, 1320, 1157, 518, 5135, 5934, 10851, 1223, 1860, 8770, 15203, 267, 23246, 1790, 9445, 3347, 543, 28506, 2023, 4955, 5928, 269, 7316, 519, 9750, 5135, 15902, 3065, 10851, 791, 16636, 593, 18626, 19114, 267, 649, 1223, 1294, 5458, 5117, 2242, 3034, 763, 2164, 540, 519, 1353, 616, 606, 1271, 24182, 585, 519, 5571, 960, 540, 519, 1007, 20985, 3194, 10418, 630, 306, 293, 289, 476, 4037, 275, 264, 968, 20458, 1107, 12713, 613, 17190, 29568, 538, 519, 23427, 7909, 892, 14102, 676, 519, 4436, 3194, 7690, 267, 799, 3323, 922, 1101, 5123, 538, 5130, 476, 1220, 279, 538, 2673, 9316, 609, 519, 2160, 540, 918, 1408, 269, 634, 24700, 289, 6663, 547, 1732, 5581, 519, 4205, 1063, 2916, 543, 6915, 613, 17190, 593, 513, 11050, 4493, 563, 9928, 23774, 338, 26323, 540, 7909, 2762, 267, 693, 17459, 5842, 17630, 267, 568, 835, 540, 519, 9510, 267, 4102, 543, 1034, 1271, 7740, 585, 2518, 2257, 1382, 543, 10927, 2866, 538, 519, 1158, 269, 634, 2817, 3194, 7027, 814, 19486, 2480, 23774, 338, 1101, 538, 12200, 2298, 1851, 5836, 2762, 3292, 18487, 269, 3767, 538, 922, 2034, 2540, 540, 6602, 267, 519, 3621, 9165, 540, 519, 9872, 814, 6738, 547, 1331, 6211, 267, 2168, 267, 3114, 267, 17027, 267, 2520, 26491, 543, 11626, 2090, 540, 519, 3618, 607, 513, 1062, 269, 25569, 338, 540, 1382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17466, 23927, 269, 11778, 1284, 4553, 476, 274, 267, 6812, 274, 1875, 26817, 12185, 5396, 630, 275, 269, 278, 1296, 540, 1246, 5346, 267, 476, 11277, 7972, 1040, 1306, 3379, 547, 5171, 538, 519, 9803, 14415, 850, 540, 15977, 8192, 22542, 267, 1346, 538, 519, 5207, 14415, 850, 4951, 606, 2799, 1981, 540, 782, 2275, 1021, 9019, 1496, 16281, 815, 476, 273, 269, 1428, 630, 4817, 260, 16275, 281, 476, 272, 269, 1428, 1700, 275, 269, 6860, 5148, 623, 585, 7678, 815, 476, 271, 269, 23713, 4940, 769, 519, 7368, 24578, 9778, 9382, 1210, 607, 4598, 519, 21496, 8242, 1344, 593, 22542, 267, 649, 4767, 513, 2147, 7681, 269, 26678, 23834, 729, 2404, 609, 782, 2275, 1021, 9019, 1152, 950, 5396, 941, 7820, 982, 476, 4037, 1296, 269, 1230, 7501, 4400, 8192, 22542, 729, 9797, 2404, 609, 782, 2275, 1021, 9019, 538, 11361, 2551, 693, 1164, 9025, 1981, 269, 20163, 281, 21857, 2004, 277, 2918, 454, 298, 548, 1188, 1676, 267, 2549, 828, 590, 5919, 654, 784, 267, 13961, 340, 282, 4856, 4486, 267, 22526, 661, 563, 288, 1970, 29944, 3210, 630, 299, 16165, 264, 5288, 269, 1164, 29944, 3210, 630, 295, 16165, 264, 2732, 2337, 1225, 18571, 519, 1646, 540, 8377, 543, 3987, 267, 1498, 519, 6127, 616, 7164, 269, 1284, 32424, 602, 4616, 540, 513, 670, 16165, 5288, 269, 513, 9437, 305, 2732, 1131, 1291, 547, 513, 811, 12444, 1242, 21883, 2699, 2135, 1533, 543, 10567, 602, 513, 670, 16165, 2732, 1131, 2333, 3170, 13250, 267, 2569, 7378, 8417, 267, 543, 10556, 10894, 1035, 743, 11582, 547, 513, 1164, 3170, 2732, 538, 513, 10856, 2203, 269, 9747, 267, 5256, 595, 6872, 13993, 270, 277, 8983, 10057, 513, 670, 16165, 610, 9437, 305, 2732, 585, 476, 1626, 4374, 543, 513, 15410, 540, 519, 8983, 13604, 10057, 513, 1164, 3170, 2732, 585, 476, 275, 4374, 269, 1284, 1336, 602, 1560, 2527, 2799, 693, 513, 5488, 2557, 585, 1346, 10438, 519, 670, 16165, 2732, 269, 20587, 1560, 3170, 729, 3152, 543, 2600, 10709, 2527, 729, 14758, 538, 519, 670, 16165, 1895, 4358, 693, 476, 1321, 4374, 269, 1717, 267, 519, 2516, 1705, 711, 8428, 538, 2474, 540, 7280, 10892, 693, 3018, 476, 1691, 543, 10894, 6724, 630, 637, 21732, 5385, 5223, 267, 3002, 2504, 267, 2534, 264, 693, 4374, 476, 275, 610, 476, 1428, 269, 5047, 267, 8983, 593, 2901, 2732, 1705, 711, 1397, 3604, 538, 10894, 1035, 743, 11582, 547, 519, 1164, 3170, 1850, 540, 519, 1353, 269, 2311, 519, 26694, 540, 519, 1353, 267, 519, 2516, 1705, 711, 8428, 538, 2474, 540, 2699, 2135, 8424, 630, 331, 716, 622, 270, 6853, 745, 341, 622, 543, 16061, 31622, 32611, 8117, 344, 3433, 270, 659, 16587, 659, 564, 622, 264, 610, 555, 328, 1819, 28845, 1487, 551, 848, 2534, 538, 1973, 269, 4746, 267, 2698, 543, 12444, 1242, 22965, 987, 7748, 2157, 543, 20188, 829, 2135, 9179, 941, 2147, 538, 1973, 543, 6797, 269, 4856, 30447, 1063, 15977, 3800, 267, 19976, 6724, 267, 2825, 2175, 267, 543, 12363, 14573, 7000, 602, 1367, 8983, 723, 17916, 4412, 839, 885, 547, 10894, 7939, 602, 949, 581, 2352, 547, 32677, 609, 2732, 4805, 282, 585, 1383, 267, 4358, 2527, 17047, 11874, 609, 1648, 18820, 476, 275, 4374, 883, 519, 1353, 543, 2698, 646, 31154, 22965, 987, 7748, 693, 519, 1439, 540, 519, 1353, 269, 769, 3932, 267, 891, 1239, 2303, 602, 519, 7271, 676, 799, 670, 16165, 11950, 8309, 547, 8377, 568, 711, 3842, 12675, 16617, 540, 519, 21883, 2699, 2135, 1533, 269, 20163, 281, 18605, 28143, 4281, 454, 17359, 7956, 12232, 15845, 547, 1489, 8192, 12381, 547, 2087, 9848, 20945, 1282, 6379, 568, 3908, 267, 543, 519, 2640, 540, 2732, 3564, 12145, 29556, 2597, 2744, 568, 15458, 269, 4475, 267, 513, 9836, 2689, 543, 3060, 13849, 20400, 540, 19747, 8062, 729, 5342, 547, 5635, 519, 2360, 540, 1585, 1455, 11326, 267, 14404, 1881, 676, 519, 1840, 540, 29556, 2597, 2744, 5796, 267, 593, 17509, 7280, 543, 7378, 267, 24562, 589, 272, 322, 630, 295, 321, 288, 272, 322, 267, 543, 1753, 739, 1738, 2203, 4879, 585, 7378, 4187, 630, 295, 6865, 288, 268, 7644, 538, 9176, 2021, 8160, 3633, 299, 12114, 267, 661, 11586, 17955, 267, 3213, 577, 8735, 6538, 267, 543, 4704, 8638, 540, 3370, 2090, 941, 22646, 998, 4989, 476, 1001, 278, 269, 15932, 1242, 8062, 2047, 9236, 1079, 610, 811, 11326, 585, 21759, 273, 32734, 4060, 941, 14718, 269, 28662, 3060, 13849, 20400, 729, 5340, 585, 17509, 7280, 269, 744, 9405, 547, 513, 3668, 540, 2147, 8192, 16198, 267, 513, 3044, 6292, 3772, 13849, 20400, 585, 519, 824, 29944, 4093, 729, 5340, 269, 634, 22979, 540, 519, 7535, 539, 1198, 9193, 729, 12290, 1210, 519, 16998, 32767, 1907, 11053, 342, 4868, 14633, 8062, 630, 272, 267, 279, 4792, 5171, 941, 3769, 269, 769, 2489, 267, 950, 2016, 7258, 29556, 2597, 2744, 5796, 267, 17509, 7280, 4824, 538, 1034, 11326, 3379, 547, 11326, 602, 5795, 29556, 2597, 2744, 5796, 1152, 269, 1717, 267, 17509, 7280, 2799, 538, 1164, 5667, 18260, 610, 1395, 10494, 18260, 9761, 7408, 11326, 269, 769, 519, 9000, 540, 29556, 2597, 2744, 5796, 267, 17509, 7280, 4824, 538, 667, 23808, 16654, 11326, 3379, 547, 3044, 540, 1416, 269, 4014, 1034, 941, 1875, 1606, 22658, 267, 2147, 3466, 941, 4767, 585, 891, 1482, 11326, 585, 519, 824, 29944, 4093, 269, 26678, 16198, 24132, 689, 9793, 547, 1360, 1970, 538, 2298, 540, 2963, 269, 26589, 2515, 609, 29556, 2597, 2744, 5796, 267, 1034, 11326, 267, 609, 519, 9868, 540, 513, 1164, 5667, 18260, 610, 513, 1164, 1395, 10494, 18260, 9761, 3679, 2732, 267, 7152, 513, 17509, 7280, 6454, 3379, 609, 29556, 2597, 2744, 5796, 1152, 269, 1879, 29556, 2597, 2744, 5796, 729, 711, 2016, 267, 519, 667, 23808, 16654, 2732, 7902, 6099, 593, 17509, 7280, 269, 1717, 267, 513, 1507, 454, 295, 320, 267, 11709, 612, 320, 282, 12844, 1676, 267, 12891, 2917, 808, 5919, 808, 611, 5622, 267, 20289, 333, 754, 337, 918, 5919, 2142, 344, 2940, 267, 9478, 282, 1323, 663, 267, 590, 8205, 590, 563, 288, 15501, 15845, 547, 1489, 8192, 12381, 547, 2087, 9848, 20945, 1282, 6379, 568, 3908, 267, 543, 519, 2640, 540, 2732, 3564, 12145, 29556, 2597, 2744, 568, 15458, 269, 4475, 267, 513, 9836, 2689, 543, 3060, 13849, 20400, 540, 19747, 8062, 729, 5342, 547, 5635, 519, 2360, 540, 1585, 1455, 11326, 267, 14404, 1881, 676, 519, 1840, 540, 29556, 2597, 2744, 5796, 267, 593, 17509, 7280, 543, 7378, 267, 24562, 589, 272, 322, 630, 295, 321, 288, 272, 322, 1070, 543, 1753, 739, 1738, 2203, 4879, 585, 7378, 4187, 630, 295, 6865, 288, 268, 7644, 264, 538, 9176, 2021, 269, 10613, 32212, 299, 12114, 267, 661, 11586, 17955, 267, 3213, 577, 8735, 6538, 267, 543, 4704, 8638, 540, 3370, 2090, 941, 22646, 998, 4989, 476, 1001, 278, 269, 15932, 1242, 8062, 2047, 9236, 1079, 610, 811, 11326, 585, 21759, 273, 32734, 4060, 941, 14718, 269, 28662, 3060, 13849, 20400, 729, 5340, 585, 17509, 7280, 269, 744, 9405, 547, 513, 3668, 540, 2147, 8192, 16198, 267, 513, 3044, 6292, 3772, 13849, 20400, 585, 519, 824, 29944, 4093, 729, 5340, 269, 634, 22979, 540, 519, 7535, 539, 1198, 9193, 729, 12290, 1210, 519, 16998, 32767, 1907, 269, 11778, 26062, 14633, 8062, 630, 272, 267, 279, 4792, 5171, 264, 941, 3769, 269, 769, 2489, 267, 950, 2016, 7258, 29556, 2597, 2744, 5796, 267, 17509, 7280, 4824, 538, 1034, 11326, 3379, 547, 11326, 602, 5795, 29556, 2597, 2744, 5796, 1152, 269, 1717, 267, 17509, 7280, 2799, 538, 1164, 5667, 18260, 610, 1395, 10494, 18260, 9761, 7408, 11326, 269, 769, 519, 9000, 540, 29556, 2597, 2744, 5796, 267, 17509, 7280, 4824, 538, 667, 23808, 16654, 11326, 3379, 547, 3044, 540, 1416, 269, 4014, 1034, 941, 1875, 1606, 22658, 267, 2147, 3466, 941, 4767, 585, 891, 1482, 11326, 585, 519, 824, 29944, 4093, 269, 26678, 16198, 24132, 689, 9793, 547, 1360, 1970, 538, 2298, 540, 2963, 269, 10390, 270, 11328, 13133, 566, 13966, 2515, 609, 29556, 2597, 2744, 5796, 267, 1034, 11326, 267, 609, 519, 9868, 540, 513, 1164, 5667, 18260, 610, 513, 1164, 1395, 10494, 18260, 9761, 3679, 2732, 267, 7152, 513, 17509, 7280, 6454, 3379, 609, 29556, 2597, 2744, 5796, 1152, 269, 1879, 29556, 2597, 2744, 5796, 729, 711, 2016, 267, 519, 667, 23808, 16654, 2732, 7902, 6099, 593, 454, 310, 27979, 23042, 267, 8751, 4141, 282, 7137, 787, 267, 570, 1415, 320, 681, 282, 4024, 3298, 267, 715, 648, 523, 667, 282, 13852, 267, 10910, 25352, 595, 454, 763, 8225, 12128, 5948, 15565, 602, 1004, 609, 3987, 3442, 3536, 609, 1970, 3766, 569, 23303, 4994, 630, 22835, 1040, 901, 1353, 2919, 513, 18102, 7893, 7869, 540, 1773, 10165, 29007, 630, 9143, 289, 264, 21437, 3448, 547, 10438, 513, 1970, 8566, 296, 2732, 676, 1004, 609, 3987, 865, 607, 547, 3035, 513, 1732, 1620, 540, 799, 570, 303, 289, 21437, 267, 15295, 4162, 543, 3987, 5829, 4632, 1655, 3589, 9837, 547, 8532, 513, 1970, 8566, 296, 2732, 269, 589, 18102, 547, 2268, 15752, 547, 8532, 513, 1970, 8566, 296, 2732, 729, 2919, 1759, 593, 570, 303, 289, 21437, 543, 729, 13950, 547, 476, 3607, 280, 4079, 630, 1789, 547, 476, 4037, 1296, 264, 609, 1826, 476, 272, 610, 1826, 476, 273, 3987, 269, 13786, 525, 941, 9916, 1210, 2789, 5276, 9695, 269, 2859, 982, 476, 3445, 260, 540, 5171, 630, 11743, 2085, 267, 476, 6321, 269, 276, 22144, 1015, 269, 279, 1296, 282, 1611, 1560, 2527, 4994, 267, 476, 1789, 269, 276, 22144, 278, 269, 273, 4846, 8276, 263, 273, 4297, 11855, 5786, 543, 5826, 540, 2635, 1973, 7280, 2157, 607, 606, 5413, 540, 4189, 1970, 8566, 296, 3536, 269, 24771, 2085, 267, 2362, 4747, 267, 4775, 4008, 267, 2348, 1826, 476, 273, 3987, 267, 3987, 2126, 630, 323, 2884, 1152, 264, 543, 1620, 540, 519, 22542, 941, 9797, 2404, 609, 9837, 547, 3548, 513, 1970, 8566, 296, 2732, 269, 570, 303, 289, 21437, 602, 3648, 10567, 15752, 547, 3548, 513, 1970, 8566, 296, 2732, 941, 15747, 10182, 630, 15883, 815, 476, 271, 269, 2190, 267, 533, 283, 271, 269, 9826, 5148, 16148, 8155, 630, 15883, 815, 476, 271, 269, 1724, 267, 533, 284, 271, 269, 23669, 5148, 543, 9228, 24040, 1852, 630, 15883, 815, 476, 271, 269, 4649, 267, 533, 283, 271, 269, 9826, 1040, 901, 1007, 18102, 568, 513, 4570, 1907, 547, 2708, 570, 303, 289, 21437, 7700, 547, 15752, 547, 3548, 513, 1970, 8566, 296, 2732, 676, 1004, 609, 3987, 269, 8892, 2090, 602, 946, 713, 18102, 666, 8774, 1769, 593, 875, 570, 303, 289, 2035, 538, 4791, 2259, 666, 948, 1004, 609, 3987, 547, 1689, 741, 8192, 6981, 269, 14645, 9736, 476, 1001, 276, 8225, 12128, 5948, 269, 15618, 676, 29021, 5549, 269, 2353, 2924, 11603, 563, 299, 26820, 267, 962, 328, 6953, 2426, 282, 16441, 267, 932, 2426, 25286, 340, 282, 16441, 267, 932, 26820, 9539, 534, 282, 18961, 267, 932, 807, 25286, 532, 282, 17578, 2967, 267, 26757, 578, 16644, 30591, 454, 25889, 281, 1133, 11794, 7262, 8192, 3270, 1291, 547, 936, 15926, 18870, 540, 3170, 543, 4359, 25026, 566, 1439, 1790, 20094, 630, 17803, 338, 1070, 543, 891, 2272, 585, 519, 7835, 540, 8377, 267, 3987, 267, 543, 1644, 10894, 4713, 269, 15742, 11254, 7408, 630, 288, 2026, 264, 723, 1044, 5063, 7152, 547, 2087, 9848, 20945, 543, 2569, 28539, 13920, 269, 4475, 267, 938, 3119, 6663, 941, 547, 4983, 2436, 8023, 606, 568, 1961, 1075, 710, 10276, 878, 1117, 21191, 7848, 630, 275, 269, 276, 260, 589, 2026, 282, 594, 548, 281, 476, 274, 269, 271, 9077, 2274, 340, 281, 476, 272, 269, 271, 9077, 4406, 281, 476, 271, 269, 273, 9077, 14803, 281, 476, 271, 269, 274, 260, 538, 519, 6704, 1216, 264, 1131, 1860, 28539, 13920, 1646, 543, 2061, 519, 23043, 540, 29944, 1852, 538, 14148, 10480, 609, 519, 3170, 270, 17803, 25202, 2732, 630, 293, 4696, 1040, 10613, 281, 26062, 21144, 5256, 1975, 4048, 826, 5937, 1177, 2917, 14148, 941, 8655, 883, 476, 272, 264, 1852, 2732, 630, 7374, 267, 715, 815, 476, 279, 1070, 476, 273, 264, 674, 4696, 2732, 630, 293, 4696, 267, 715, 815, 476, 279, 1070, 543, 476, 274, 264, 674, 4696, 2732, 7132, 21191, 630, 293, 4696, 270, 8150, 267, 715, 815, 476, 279, 1040, 2991, 476, 280, 32734, 4060, 6304, 267, 519, 29944, 1852, 4390, 630, 6921, 26651, 1377, 267, 8668, 307, 267, 543, 670, 321, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3132, 12716, 543, 267, 538, 930, 2665, 267, 1256, 24754, 1568, 602, 616, 5921, 547, 1491, 519, 5467, 593, 513, 535, 4545, 3814, 3460, 998, 519, 10564, 779, 1913, 563, 763, 3718, 540, 519, 2296, 7313, 1115, 267, 689, 932, 29694, 547, 21582, 704, 281, 26451, 519, 10022, 3798, 1243, 609, 2776, 5865, 267, 4437, 7240, 543, 11879, 267, 11730, 476, 280, 5843, 1504, 5399, 540, 2296, 3332, 634, 3718, 540, 519, 2296, 7313, 1115, 267, 689, 932, 29694, 547, 21582, 704, 281, 26451, 519, 10022, 3798, 1243, 609, 2776, 5865, 267, 4437, 7240, 543, 11879, 267, 12138, 30634, 11302, 563, 1607, 4015, 540, 2835, 20502, 519, 25704, 540, 1977, 6965, 602, 723, 6766, 29932, 9153, 547, 3310, 1765, 10090, 725, 540, 15023, 269, 6875, 513, 1413, 269, 910, 634, 9142, 540, 1977, 7313, 1115, 568, 519, 4102, 15376, 2861, 18758, 3919, 5807, 606, 7071, 585, 4207, 6965, 543, 5885, 1977, 15023, 563, 763, 5741, 717, 9790, 6199, 3883, 540, 2296, 7638, 572, 630, 5408, 849, 634, 10228, 3883, 540, 2296, 7638, 572, 1070, 1196, 269, 676, 14880, 2372, 14525, 4211, 13224, 630, 294, 9790, 6199, 1257, 264, 2372, 5593, 717, 14211, 902, 689, 9147, 17826, 281, 589, 14635, 540, 30985, 7313, 564, 673, 1290, 21752, 540, 519, 2473, 9654, 628, 267, 2473, 23997, 628, 267, 543, 2473, 309, 7656, 628, 2578, 3753, 267, 1196, 563, 2421, 31611, 717, 9529, 13232, 630, 294, 9790, 6199, 1257, 1040, 22032, 4107, 661, 2381, 550, 2296, 7313, 1115, 267, 3689, 9990, 269, 1411, 590, 792, 3481, 1280, 281, 3689, 5094, 7160, 540, 519, 27367, 543, 2565, 4776, 2167, 799, 9652, 1185, 8329, 547, 519, 476, 6924, 12531, 540, 519, 3718, 540, 519, 2296, 7313, 1115, 538, 320, 1788, 20827, 676, 519, 1279, 1592, 540, 1433, 8688, 619, 945, 2408, 607, 4891, 538, 519, 29501, 1934, 9538, 763, 2034, 1390, 563, 9336, 2186, 540, 6648, 3610, 1223, 6999, 585, 910, 782, 538, 835, 536, 32658, 1433, 256, 15578, 20796, 16775, 568, 476, 1015, 1296, 2025, 543, 713, 2027, 16683, 7160, 2934, 6216, 20642, 3992, 4566, 689, 15023, 1519, 3627, 23340, 267, 20574, 15584, 267, 4406, 24809, 25204, 543, 26629, 4856, 321, 9116, 269, 5990, 20796, 16775, 3568, 1169, 2186, 540, 6648, 596, 786, 2479, 991, 585, 519, 17402, 28914, 855, 621, 568, 849, 513, 1433, 14095, 609, 13085, 9954, 602, 563, 5649, 634, 3718, 540, 519, 2296, 7313, 1115, 12727, 2060, 2776, 5865, 267, 4437, 7240, 1656, 11879, 11613, 585, 1863, 693, 476, 279, 270, 1015, 263, 273, 1040, 901, 1433, 5654, 693, 513, 1895, 540, 15023, 4974, 693, 2160, 5441, 595, 1251, 538, 519, 521, 543, 2038, 521, 563, 2005, 9382, 21044, 10486, 538, 741, 9757, 522, 324, 12320, 637, 998, 2673, 2542, 267, 11042, 543, 31150, 960, 267, 1064, 1746, 519, 1895, 607, 6766, 676, 519, 25349, 10206, 540, 269, 23052, 12881, 27411, 7204, 568, 835, 540, 519, 1655, 8153, 540, 519, 3735, 16972, 15023, 543, 1650, 2389, 25527, 563, 7212, 646, 729, 13752, 519, 17587, 15356, 585, 3332, 11375, 529, 2797, 5784, 267, 799, 8057, 811, 6757, 607, 646, 9907, 267, 723, 1279, 1500, 1864, 9691, 10002, 641, 983, 269, 769, 519, 1715, 3840, 518, 267, 8176, 17755, 337, 987, 6376, 539, 968, 298, 328, 7204, 814, 1044, 1585, 569, 31002, 513, 7810, 626, 267, 513, 795, 22857, 626, 267, 513, 22457, 267, 606, 4550, 4149, 655, 924, 267, 513, 269, 8281, 519, 3883, 281, 763, 22032, 1656, 3718, 2986, 634, 2296, 21434, 7313, 1115, 7300, 1280, 5131, 267, 2776, 2183, 281, 634, 14235, 540, 519, 2296, 21434, 15023, 568, 607, 18447, 538, 1775, 563, 763, 7313, 1115, 543, 4256, 3718, 269, 3627, 12891, 25053, 267, 4535, 538, 529, 519, 1152, 1977, 10564, 547, 3094, 782, 1614, 2101, 5993, 5339, 26065, 4534, 519, 17240, 12688, 15356, 267, 519, 2817, 3883, 31379, 17781, 13815, 267, 543, 519, 2817, 3883, 13815, 4534, 585, 835, 1433, 267, 834, 20236, 6261, 677, 11681, 538, 513, 1230, 557, 343, 19257, 2928, 257, 630, 1040, 16449, 519, 1034, 2487, 540, 1010, 476, 1626, 10070, 540, 6965, 281, 834, 4537, 20760, 21541, 2437, 630, 1070, 29120, 31888, 257, 630, 1916, 290, 1301, 523, 717, 574, 2946, 928, 345, 8055, 269, 634, 960, 540, 25844, 523, 717, 574, 2946, 928, 345, 8055, 585, 803, 4564, 519, 3003, 10189, 540, 1018, 15023, 543, 6965, 949, 29954, 790, 547, 281, 1352, 568, 513, 4116, 267, 9375, 540, 3143, 655, 328, 4964, 630, 6518, 5063, 3370, 19958, 918, 792, 2284, 779, 1007, 1433, 540, 3594, 264, 543, 9097, 19621, 3048, 1807, 563, 12640, 6866, 594, 4001, 1200, 4678, 2088, 15594, 9954, 267, 1250, 1053, 1769, 909, 607, 952, 547, 2161, 9684, 269, 3883, 1401, 1356, 696, 678, 338, 938, 538, 2865, 1860, 687, 282, 7493, 338, 9409, 689, 3294, 676, 9256, 621, 609, 782, 519, 3029, 540, 9345, 267, 543, 609, 519, 27811, 25029, 540, 519, 2295, 267, 543, 678, 11817, 519, 2898, 812, 1369, 721, 563, 763, 12257, 267, 2705, 267, 6508, 689, 13249, 6965, 267, 568, 711, 1022, 3364, 15116, 547, 621, 607, 6965, 267, 607, 513, 535, 1112, 25875, 543, 535, 4545, 3814, 3364, 563, 763, 1079, 15023, 3459, 741, 10319, 3209, 538, 531, 1181, 908, 5220, 693, 1101, 282, 519, 1433, 7012, 1406, 3370, 2394, 663, 713, 1279, 32460, 15983, 8309, 547, 922, 5705, 569, 26867, 9403, 269, 29321, 11313, 338, 17175, 9642, 9644, 11710, 689, 922, 15398, 24634, 534, 640, 630, 25988, 543, 11647, 4309, 20662, 880, 3007, 264, 543, 17187, 1875, 3524, 527, 2720, 269, 4462, 1173, 340, 2406, 519, 1655, 543, 19466, 4095, 5856, 538, 2296, 267, 681, 14389, 563, 301, 541, 18885, 779, 9089, 267, 543, 2110, 2984, 616, 519, 4128, 1946, 1455, 1647, 11665, 12075, 2919, 606, 1719, 538, 2296, 1634, 585, 519, 14070, 4884, 540, 5689, 326, 644, 328, 267, 23902, 18885, 814, 2854, 1082, 5708, 2835, 1519, 4210, 9564, 543, 14886, 267, 634, 6651, 267, 589, 26286, 585, 5689, 326, 644, 5608, 634, 2296, 11819, 267, 3092, 7868, 2296, 7313, 1115, 630, 24127, 594, 264, 932, 29694, 547, 5213, 928, 630, 272, 264, 543, 513, 1390, 5542, 540, 1644, 2835, 267, 1148, 543, 2445, 17156, 2139, 1631, 693, 0, 1103, 519, 6176, 6520, 267, 519, 1764, 540, 14464, 11106, 666, 581, 7691, 538, 519, 1034, 13777, 850, 540, 4247, 269, 3245, 519, 5152, 649, 4051, 8835, 779, 5981, 320, 547, 1404, 950, 649, 12687, 909, 538, 519, 6640, 547, 519, 26962, 267, 649, 598, 2091, 609, 4749, 268, 938, 2413, 2729, 616, 28025, 27153, 538, 6191, 602, 1451, 585, 721, 267, 1589, 585, 721, 267, 543, 948, 721, 1118, 1732, 3664, 563, 4415, 602, 1767, 267, 2705, 267, 519, 2479, 21608, 14590, 3463, 5251, 12034, 6880, 322, 3234, 10904, 7432, 547, 3642, 267, 543, 1287, 1210, 621, 607, 513, 1907, 547, 20739, 752, 688, 22106, 593, 2043, 543, 3906, 269, 18641, 267, 3642, 666, 849, 581, 8246, 538, 519, 4339, 1996, 14590, 267, 799, 568, 513, 3661, 3838, 676, 513, 5354, 540, 26933, 543, 14590, 12665, 607, 1134, 563, 32381, 540, 519, 2620, 268, 549, 6838, 1764, 602, 3642, 543, 10724, 4804, 723, 1185, 593, 519, 1272, 267, 519, 3119, 3804, 602, 14464, 11106, 11394, 856, 547, 11886, 568, 713, 281, 547, 1711, 513, 3684, 3532, 543, 5100, 2614, 547, 6023, 1022, 1377, 540, 5042, 7411, 267, 538, 513, 3099, 540, 1114, 5468, 268, 3833, 2147, 547, 875, 1480, 12058, 1599, 563, 23744, 6340, 267, 519, 3642, 5117, 5932, 1079, 512, 4536, 585, 3642, 3292, 547, 581, 9044, 539, 883, 267, 12077, 267, 4617, 543, 2178, 3642, 269, 1717, 267, 607, 942, 543, 2029, 3356, 267, 649, 991, 547, 556, 20459, 938, 1935, 547, 3642, 543, 922, 28944, 267, 2059, 609, 519, 4644, 630, 604, 1022, 264, 602, 789, 7703, 563, 6524, 649, 666, 1205, 883, 602, 267, 2705, 267, 1577, 779, 4685, 883, 1018, 519, 2474, 1611, 563, 29995, 267, 950, 513, 6643, 25856, 1472, 14464, 11106, 267, 1004, 4749, 12235, 1472, 1806, 540, 11197, 779, 11184, 328, 543, 8835, 779, 5981, 320, 538, 519, 3575, 267, 1510, 16734, 602, 789, 2099, 513, 25340, 3908, 2070, 540, 519, 3642, 5117, 563, 2026, 649, 4076, 5018, 1354, 267, 972, 616, 1079, 3490, 28944, 950, 621, 2501, 547, 3642, 267, 1634, 607, 2048, 1805, 3994, 685, 543, 2048, 2171, 752, 685, 3642, 269, 10925, 267, 4617, 267, 610, 7522, 3642, 4016, 547, 1022, 3642, 1982, 602, 6212, 593, 513, 2582, 4305, 543, 1568, 1759, 593, 840, 3491, 13559, 4364, 6620, 269, 634, 7271, 2938, 538, 4617, 3642, 568, 3908, 547, 3919, 1379, 267, 2864, 982, 519, 2702, 540, 519, 3642, 547, 10146, 610, 1174, 519, 4971, 1373, 2016, 563, 2304, 1383, 540, 713, 568, 950, 596, 2307, 11184, 328, 585, 519, 14282, 13962, 269, 634, 5690, 17358, 17161, 971, 607, 968, 928, 11732, 892, 543, 968, 6135, 4768, 656, 892, 543, 20781, 9935, 267, 1759, 593, 519, 1344, 621, 779, 2907, 1044, 10480, 269, 5502, 540, 1373, 5100, 267, 519, 840, 1922, 539, 6620, 1118, 519, 4617, 3642, 2408, 10995, 563, 4002, 519, 824, 1439, 540, 519, 8552, 267, 513, 2178, 267, 610, 2489, 3642, 18187, 919, 519, 5042, 3252, 540, 519, 1480, 2634, 269, 5502, 540, 1210, 22406, 3919, 1379, 267, 513, 2178, 3642, 1982, 267, 3684, 267, 610, 3301, 12346, 593, 24159, 543, 7681, 547, 1184, 1239, 269, 3807, 899, 513, 1480, 2634, 1568, 267, 621, 779, 2182, 547, 2995, 875, 513, 2178, 3642, 1131, 4431, 547, 1808, 17161, 268, 1152, 602, 621, 8910, 1118, 606, 4830, 3375, 1759, 593, 875, 621, 27786, 543, 23465, 547, 519, 1239, 3177, 547, 621, 563, 4415, 519, 2048, 21353, 545, 685, 8847, 856, 540, 519, 1259, 267, 649, 1590, 5659, 875, 891, 8847, 3180, 909, 538, 519, 1699, 2085, 540, 2029, 267, 3226, 950, 649, 1491, 883, 2272, 519, 24567, 3310, 602, 3642, 814, 1185, 593, 2413, 6377, 14590, 3435, 563, 2691, 621, 2501, 547, 606, 1620, 540, 519, 3604, 1063, 2178, 543, 4617, 3642, 267, 1419, 267, 14590, 12665, 4043, 547, 26777, 519, 5817, 2495, 3297, 519, 8847, 5018, 1657, 269, 1677, 2744, 513, 811, 538, 3829, 1620, 540, 16200, 5288, 269, 31808, 3642, 267, 649, 991, 547, 2007, 1472, 513, 3787, 4514, 982, 1018, 519, 4909, 8847, 2099, 563, 2414, 1205, 938, 2798, 2066, 3533, 267, 649, 3580, 723, 513, 1413, 693, 543, 5659, 1312, 519, 8847, 540, 3642, 14384, 267, 4358, 609, 16200, 267, 610, 2489, 3642, 563, 2026, 649, 4076, 5018, 1657, 267, 519, 6671, 4214, 540, 2178, 3642, 2829, 602, 519, 2165, 4016, 547, 513, 1106, 540, 5841, 4987, 602, 568, 5921, 547, 21613, 1480, 4987, 267, 610, 5042, 3252, 268, 799, 4016, 547, 519, 2702, 547, 1589, 543, 6430, 563, 289, 5802, 610, 16200, 3642, 4016, 547, 5841, 2489, 4987, 630, 8980, 296, 1070, 799, 6212, 593, 519, 5137, 540, 6191, 602, 666, 17932, 543, 6707, 1685, 1022, 7214, 4305, 607, 1134, 607, 513, 1480, 1373, 666, 269, 634, 2702, 547, 5659, 543, 2097, 909, 609, 3435, 585, 10995, 3334, 666, 581, 7745, 1524, 883, 519, 1739, 2694, 912, 268, 634, 2702, 547, 20049, 1702, 689, 1114, 11890, 543, 4019, 621, 883, 1114, 5468, 563, 268, 634, 12588, 547, 1544, 585, 519, 2104, 267, 1759, 593, 1991, 1702, 543, 1995, 563, 268, 634, 4390, 547, 3082, 547, 1022, 2242, 1373, 1500, 538, 519, 4478, 1604, 563, 1103, 1840, 547, 519, 3334, 5018, 267, 930, 1394, 11804, 3344, 540, 513, 2178, 267, 610, 2489, 3642, 1331, 519, 5759, 547, 4194, 1950, 13410, 267, 2601, 267, 2059, 609, 519, 4390, 547, 4159, 4987, 543, 1455, 2631, 563, 4415, 602, 1767, 267, 1896, 12665, 267, 543, 3173, 4043, 547, 10990, 609, 519, 10169, 2048, 3916, 1746, 685, 4214, 540, 16200, 3642, 267, 17548, 741, 22027, 538, 1362, 4328, 16200, 3642, 607, 10995, 267, 3274, 1317, 621, 666, 17932, 519, 5042, 5759, 540, 519, 1480, 2634, 267, 971, 607, 519, 2702, 547, 5968, 563, 289, 8960, 7198, 547, 519, 2864, 16012, 10206, 540, 519, 26117, 540, 875, 649, 5581, 16200, 3642, 267, 568, 519, 570, 1005, 1449, 267, 799, 4564, 513, 1062, 538, 799, 1480, 7919, 616, 21235, 8572, 547, 10646, 1063, 519, 5042, 5759, 1063, 513, 1480, 543, 513, 3684, 269, 634, 570, 1005, 1449, 12662, 513, 3684, 267, 606, 23827, 1807, 267, 543, 513, 1480, 538, 513, 17187, 4259, 269, 1403, 519, 23827, 1807, 14543, 547, 10646, 1063, 519, 3684, 543, 1480, 267, 519, 570, 1005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2515, 540, 1920, 3797, 543, 1489, 2516, 269, 3619, 547, 519, 9413, 267, 2212, 856, 540, 4884, 585, 513, 15964, 1205, 12537, 610, 798, 1945, 607, 2241, 607, 4058, 513, 1920, 12129, 269, 1403, 707, 1126, 2729, 3544, 540, 707, 1753, 267, 1305, 942, 11735, 1142, 3018, 547, 6952, 909, 2901, 538, 1268, 610, 936, 519, 6049, 269, 2060, 519, 2413, 1158, 607, 26093, 607, 621, 568, 267, 621, 779, 2653, 547, 1205, 4503, 538, 782, 519, 6846, 269, 17553, 942, 11735, 5781, 1141, 596, 666, 2992, 267, 598, 2091, 543, 6108, 942, 609, 6068, 3283, 786, 2087, 3347, 543, 3025, 779, 7099, 269, 4634, 1374, 908, 835, 7594, 513, 3018, 607, 968, 26967, 942, 892, 666, 948, 563, 299, 633, 2659, 5020, 454, 2005, 666, 581, 2653, 547, 1577, 519, 8213, 540, 1866, 1491, 936, 707, 1272, 269, 898, 779, 2352, 547, 1491, 2123, 942, 950, 513, 1920, 4759, 568, 10010, 269, 1411, 1590, 1491, 1416, 540, 3054, 1354, 596, 666, 1491, 1416, 540, 707, 1920, 269, 5269, 942, 585, 12348, 267, 1775, 4318, 1421, 5986, 267, 13167, 267, 12202, 269, 2659, 8788, 666, 723, 513, 1463, 1764, 593, 3025, 779, 7099, 563, 2691, 606, 13982, 13788, 11222, 267, 543, 519, 1920, 2535, 919, 538, 2901, 1920, 3797, 610, 513, 1489, 1895, 267, 3025, 779, 4743, 540, 4126, 666, 581, 11566, 269, 898, 779, 513, 2631, 540, 8323, 602, 519, 8213, 568, 6368, 1373, 9619, 269, 1717, 267, 8213, 568, 513, 2068, 543, 1590, 581, 5701, 607, 971, 269, 15302, 616, 711, 23174, 16074, 543, 2154, 942, 543, 9639, 269, 5901, 596, 543, 707, 1920, 779, 6788, 538, 2638, 547, 2057, 14922, 906, 267, 24515, 543, 26739, 563, 2691, 3843, 547, 948, 2576, 945, 568, 29279, 1765, 18034, 513, 6068, 835, 1765, 23024, 1329, 1424, 4835, 6560, 568, 1455, 269, 898, 779, 1271, 547, 1796, 707, 2666, 543, 2611, 6109, 593, 6302, 602, 723, 1044, 1305, 269, 4197, 519, 3017, 1063, 4543, 5288, 269, 7175, 568, 2565, 563, 2252, 596, 610, 2576, 596, 917, 568, 10010, 609, 8213, 267, 1577, 634, 21701, 4741, 948, 269, 10684, 543, 8213, 2126, 568, 519, 2626, 269, 634, 21701, 4741, 568, 519, 1747, 269, 0, 763, 19088, 540, 32746, 7695, 910, 634, 23531, 543, 22910, 3778, 540, 15656, 570, 269, 2051, 518, 3805, 781, 918, 889, 5055, 16679, 454, 7212, 519, 3169, 4266, 3788, 7164, 267, 621, 568, 5156, 602, 15656, 13177, 2051, 518, 3805, 5206, 1010, 6648, 918, 889, 5055, 16679, 28069, 538, 519, 2887, 540, 476, 9692, 278, 543, 3459, 26941, 540, 621, 538, 519, 2038, 5614, 540, 476, 9692, 279, 269, 21452, 267, 4352, 1100, 3312, 12377, 814, 1044, 1336, 267, 519, 11511, 933, 2494, 11245, 540, 918, 889, 5055, 16679, 729, 4362, 538, 476, 4350, 275, 269, 17497, 267, 519, 11511, 933, 2494, 11245, 568, 519, 9998, 917, 4528, 540, 918, 889, 5055, 16679, 543, 568, 5156, 547, 723, 1044, 2854, 1472, 476, 8687, 271, 269, 2991, 7083, 1635, 1258, 779, 1990, 20454, 3210, 547, 918, 889, 5055, 16679, 267, 2051, 518, 3805, 3370, 519, 6648, 585, 519, 1101, 942, 538, 2904, 540, 476, 8687, 277, 896, 1635, 1258, 779, 17404, 3627, 25371, 269, 2755, 519, 6648, 729, 7620, 3808, 609, 1079, 540, 1010, 824, 9954, 281, 2441, 8475, 543, 623, 1622, 540, 12619, 267, 918, 889, 5055, 16679, 729, 1287, 3370, 538, 476, 9264, 279, 1369, 2051, 518, 3805, 779, 4015, 7313, 564, 673, 3718, 269, 634, 3803, 8313, 540, 918, 889, 5055, 16679, 1282, 2051, 518, 3805, 779, 10715, 3357, 538, 476, 8146, 275, 267, 950, 513, 19469, 4528, 540, 7313, 564, 673, 3718, 729, 5189, 267, 799, 3769, 930, 540, 2051, 518, 3805, 779, 2038, 267, 10002, 21242, 1568, 563, 2691, 918, 889, 5055, 16679, 729, 1101, 3370, 538, 476, 8687, 277, 267, 4207, 2689, 619, 7074, 519, 6648, 779, 23650, 776, 2470, 543, 12038, 540, 922, 20060, 839, 673, 2511, 267, 11052, 267, 543, 1543, 269, 634, 6648, 729, 267, 538, 513, 2631, 267, 9763, 607, 711, 513, 968, 342, 3128, 569, 6209, 6648, 267, 855, 1152, 2495, 1652, 2575, 1848, 2859, 2487, 2090, 676, 16159, 661, 269, 590, 269, 1744, 3530, 518, 7682, 539, 602, 2051, 518, 3805, 5497, 585, 918, 889, 5055, 16679, 547, 581, 513, 851, 540, 1010, 1788, 547, 1711, 968, 320, 1007, 2186, 540, 12473, 6648, 892, 602, 729, 547, 581, 1572, 634, 12096, 540, 13243, 269, 1744, 3530, 518, 11099, 602, 2051, 518, 3805, 729, 8572, 547, 2347, 713, 12473, 1788, 267, 543, 18867, 267, 2451, 918, 889, 5055, 16679, 607, 968, 534, 12473, 23650, 892, 602, 814, 26870, 513, 7242, 540, 26610, 602, 814, 4553, 519, 6648, 2094, 922, 3355, 8313, 563, 28074, 607, 519, 6648, 3294, 568, 18935, 12264, 27929, 538, 1312, 922, 11052, 267, 16105, 267, 543, 2949, 2497, 267, 922, 5888, 543, 8313, 1686, 8843, 713, 27929, 5920, 269, 2051, 518, 3805, 16119, 5156, 602, 918, 889, 5055, 16679, 729, 606, 18106, 6648, 267, 543, 4061, 267, 6170, 1010, 3003, 1272, 16111, 2847, 2358, 543, 1065, 889, 7667, 621, 563, 7628, 519, 942, 602, 2051, 518, 3805, 7768, 918, 889, 5055, 16679, 267, 1979, 19212, 9400, 29385, 6054, 602, 2051, 518, 3805, 968, 332, 755, 723, 1044, 6721, 1945, 899, 15823, 3515, 540, 10145, 14235, 513, 1554, 267, 543, 513, 16854, 2631, 540, 19802, 4342, 936, 1864, 1848, 769, 519, 3735, 476, 9692, 271, 338, 267, 2051, 518, 3805, 759, 3660, 538, 519, 10829, 1442, 22193, 540, 590, 12002, 564, 2282, 1010, 2673, 3659, 543, 8284, 10564, 5261, 6478, 29536, 269, 29385, 13187, 602, 2676, 527, 729, 930, 942, 1282, 713, 1101, 6830, 9519, 538, 5239, 476, 9692, 278, 602, 646, 4440, 4682, 585, 513, 1279, 22072, 3802, 2059, 519, 5032, 547, 700, 9321, 517, 267, 25356, 689, 1010, 2978, 2293, 267, 543, 267, 3144, 2192, 593, 1010, 2132, 3460, 267, 11074, 1055, 693, 12891, 12426, 1657, 26943, 13871, 5783, 267, 1141, 646, 5206, 918, 889, 5055, 16679, 563, 5475, 1603, 1010, 1101, 8908, 540, 918, 889, 5055, 16679, 267, 2051, 518, 3805, 729, 8572, 547, 9096, 519, 6648, 547, 1010, 6010, 532, 267, 543, 18867, 267, 25323, 621, 607, 606, 18106, 23650, 269, 2201, 5239, 476, 1691, 628, 267, 476, 9692, 278, 267, 2051, 518, 3805, 5206, 513, 4484, 547, 1010, 3659, 3627, 634, 331, 13665, 28011, 0, 2791, 1590, 723, 8068, 602, 930, 540, 707, 2828, 3548, 513, 2603, 540, 4006, 2861, 3536, 267, 22304, 3536, 267, 610, 4411, 10425, 269, 8616, 267, 789, 4383, 547, 723, 513, 6366, 7181, 267, 519, 2601, 1373, 789, 723, 513, 1360, 1164, 10894, 2557, 269, 1403, 707, 10307, 568, 711, 1434, 267, 596, 949, 723, 513, 11376, 730, 7181, 269, 774, 8557, 2175, 267, 3987, 267, 543, 824, 2564, 2175, 666, 581, 519, 4128, 585, 3500, 10307, 563, 2252, 596, 3548, 513, 19346, 11656, 7594, 630, 331, 1824, 540, 18437, 267, 7573, 267, 3694, 267, 610, 3943, 535, 1845, 267, 585, 1383, 1070, 707, 1560, 13847, 7378, 547, 948, 609, 519, 27614, 540, 782, 713, 7280, 883, 707, 1973, 269, 1306, 1134, 607, 15725, 1973, 4006, 2157, 267, 7378, 1281, 1079, 1919, 281, 898, 11151, 707, 3170, 2281, 689, 16089, 3170, 585, 519, 1560, 547, 6633, 607, 4492, 630, 20357, 922, 10862, 568, 547, 6633, 1055, 519, 7280, 264, 543, 621, 5932, 811, 3170, 2281, 585, 13936, 3388, 602, 707, 1560, 666, 1406, 6633, 1055, 269, 634, 1267, 568, 602, 596, 2744, 2597, 543, 707, 1560, 1631, 3340, 811, 4492, 547, 6633, 267, 865, 596, 3548, 811, 269, 4595, 7378, 1152, 17236, 11950, 267, 596, 6159, 557, 19719, 543, 865, 5956, 513, 30380, 4783, 540, 10438, 19719, 543, 11543, 2597, 269, 1677, 6336, 2597, 267, 519, 7744, 4422, 267, 596, 991, 547, 2736, 713, 4783, 676, 4227, 19719, 563, 2521, 711, 547, 3548, 950, 596, 1745, 13347, 610, 19252, 2443, 1265, 1945, 3116, 547, 798, 3079, 630, 320, 3802, 1472, 519, 3625, 610, 513, 7552, 547, 519, 15547, 616, 1434, 8925, 1040, 3509, 1004, 1265, 621, 781, 5363, 547, 1832, 513, 19701, 540, 1018, 789, 3548, 543, 950, 543, 1018, 789, 616, 4743, 269, 1879, 596, 723, 547, 2328, 621, 1524, 267, 596, 1522, 1589, 7466, 1354, 4189, 12897, 269, 5623, 532, 519, 19701, 2663, 666, 849, 948, 873, 2697, 519, 4664, 789, 723, 950, 789, 31952, 805, 563, 15575, 8477, 543, 5672, 4592, 269, 1411, 3580, 991, 547, 3950, 8477, 543, 5672, 4592, 630, 31810, 540, 9600, 267, 3940, 543, 19719, 264, 3909, 569, 267, 693, 2547, 585, 519, 1101, 3923, 269, 3689, 267, 946, 713, 9498, 547, 3313, 707, 1560, 3170, 6871, 268, 543, 1810, 1406, 29186, 538, 707, 8937, 950, 596, 2268, 707, 22765, 269, 3973, 267, 946, 713, 17811, 9498, 630, 2041, 2386, 547, 2824, 519, 10709, 2527, 4542, 264, 547, 3313, 707, 11192, 11545, 6052, 5890, 754, 8132, 563, 6546, 779, 1317, 2021, 4043, 547, 4558, 811, 10151, 3170, 538, 741, 11350, 625, 269, 968, 763, 3170, 8637, 616, 6591, 543, 4503, 2223, 3081, 18039, 27991, 7219, 267, 11022, 267, 11381, 540, 519, 8257, 540, 6484, 543, 1426, 2090, 693, 6723, 28224, 2160, 543, 8689, 540, 519, 8592, 22846, 13379, 5004, 4741, 269, 968, 3528, 543, 1804, 267, 17987, 3170, 2501, 1055, 4443, 538, 519, 2631, 602, 621, 2501, 1055, 1101, 269, 2334, 779, 1141, 513, 1434, 2179, 540, 519, 3170, 568, 4503, 689, 3034, 288, 25161, 6197, 568, 835, 540, 519, 2101, 3123, 540, 12136, 540, 17987, 3170, 269, 1403, 596, 1810, 1406, 32696, 538, 1022, 2168, 2534, 267, 543, 6108, 1034, 540, 519, 942, 9361, 267, 8384, 570, 17679, 1421, 2542, 267, 3092, 1421, 621, 568, 1634, 607, 513, 25161, 6197, 269, 19768, 540, 2834, 3635, 267, 610, 711, 16706, 693, 782, 666, 1291, 547, 3170, 4859, 1472, 519, 17987, 1858, 269, 769, 824, 1913, 267, 1373, 513, 4172, 577, 15837, 786, 1118, 596, 3170, 563, 21156, 540, 17598, 707, 6653, 5694, 609, 930, 15568, 4006, 267, 2490, 547, 15708, 543, 2972, 513, 1793, 20810, 22765, 1467, 538, 1100, 942, 269, 7137, 1845, 616, 16041, 609, 14434, 267, 799, 666, 948, 2569, 6553, 2429, 519, 1560, 267, 543, 1382, 689, 519, 2160, 540, 12309, 8761, 602, 14148, 2016, 513, 22269, 11656, 2732, 695, 8491, 1055, 513, 1713, 8167, 540, 741, 17987, 3170, 950, 3379, 547, 513, 1852, 1895, 269, 7137, 1845, 899, 22229, 267, 678, 5684, 11241, 267, 30207, 267, 543, 3109, 11241, 616, 849, 16041, 609, 759, 591, 520, 1503, 267, 606, 15934, 20119, 602, 814, 1044, 5532, 547, 20214, 538, 17987, 3170, 543, 513, 4389, 1981, 540, 12110, 267, 547, 18849, 563, 296, 993, 513, 476, 2004, 1032, 2025, 5256, 543, 594, 2015, 8885, 547, 581, 538, 7168, 1434, 3337, 269, 594, 4312, 1044, 1560, 2679, 585, 827, 476, 274, 1296, 543, 594, 6415, 1472, 476, 1724, 260, 1560, 3170, 269, 594, 3323, 713, 15904, 543, 1223, 1152, 1205, 998, 476, 273, 21448, 540, 519, 28491, 1310, 1142, 2597, 2866, 8400, 269, 1411, 7820, 16921, 543, 575, 1023, 1522, 581, 2111, 547, 1205, 998, 621, 267, 855, 621, 20595, 1250, 12765, 856, 256, 16593, 2685, 594, 666, 1205, 998, 476, 274, 28491, 7886, 1985, 3018, 269, 3733, 3804, 568, 547, 1205, 547, 476, 1015, 260, 1560, 3170, 1369, 519, 1985, 476, 1321, 268, 1626, 4374, 563, 293, 9200, 1568, 922, 2597, 2530, 9059, 538, 2789, 2081, 269, 898, 2337, 596, 1745, 2407, 518, 267, 3476, 865, 4189, 6775, 11656, 3536, 568, 519, 2732, 532, 6697, 540, 2324, 21273, 267, 711, 9875, 269, 9578, 267, 6775, 3217, 513, 1279, 942, 547, 7558, 267, 865, 6775, 11656, 3536, 1810, 1406, 2014, 26389, 538, 1973, 4006, 602, 666, 6494, 707, 7378, 2157, 865, 2130, 269, 2201, 519, 824, 1688, 267, 950, 596, 3548, 519, 865, 10777, 3983, 19719, 630, 1492, 15568, 610, 24494, 3283, 602, 3668, 6775, 1070, 596, 949, 2842, 909, 609, 606, 7378, 3210, 602, 8992, 3170, 4859, 269, 634, 1491, 12537, 281, 2859, 6775, 11224, 1447, 3170, 4859, 563, 763, 1292, 5413, 540, 519, 1970, 2275, 16808, 2732, 568, 602, 621, 3123, 596, 547, 1616, 547, 3548, 1447, 269, 4634, 1510, 10203, 8477, 1034, 14968, 1004, 3548, 2484, 7864, 8477, 593, 1970, 16087, 269, 17491, 543, 20566, 949, 2333, 707, 14000, 267, 1247, 9319, 873, 949, 6175, 707, 14031, 547, 606, 7850, 1377, 269, 1403, 707, 1560, 6499, 547, 723, 606, 3617, 1297, 540, 8477, 596, 1810, 1406, 991, 547, 21898, 10203, 873, 269, 4935 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15278, 454, 3080, 540, 519, 1034, 1713, 2640, 540, 13038, 13574, 619, 11283, 725, 568, 602, 789, 1683, 513, 5943, 585, 3838, 9562, 543, 3375, 6194, 267, 799, 666, 948, 547, 2327, 602, 519, 3959, 568, 7307, 3927, 269, 634, 2497, 849, 6087, 2603, 5411, 547, 2671, 519, 3790, 540, 4509, 519, 1455, 3959, 267, 971, 607, 519, 3076, 1206, 267, 7535, 267, 543, 1455, 2127, 267, 799, 666, 581, 7199, 547, 2226, 563, 4913, 267, 13038, 13574, 619, 11283, 725, 666, 849, 581, 1950, 543, 2154, 6297, 2359, 269, 898, 568, 1898, 585, 2603, 5411, 547, 581, 3222, 602, 891, 13574, 619, 11283, 725, 1860, 741, 2603, 543, 543, 568, 1898, 2603, 5411, 1174, 741, 9021, 607, 2818, 540, 519, 13574, 619, 15278, 269, 589, 3318, 5899, 1092, 15440, 666, 1683, 3407, 1489, 538, 519, 7245, 540, 2789, 13574, 619, 11283, 725, 267, 4180, 602, 1142, 13574, 619, 15278, 13333, 7561, 267, 543, 782, 3656, 4170, 616, 1558, 563, 2252, 596, 616, 851, 540, 606, 13574, 619, 15278, 543, 2154, 6351, 609, 5883, 13038, 13574, 619, 11283, 725, 267, 621, 949, 581, 4502, 6236, 2502, 519, 2533, 540, 513, 3318, 5899, 1092, 15440, 269, 10323, 22268, 5899, 1092, 18877, 666, 1683, 4274, 5796, 543, 1489, 547, 2327, 602, 707, 13038, 13574, 619, 15278, 13333, 3927, 267, 543, 707, 3959, 568, 1134, 31720, 22633, 563, 23086, 721, 2221, 547, 1451, 811, 827, 875, 649, 666, 948, 596, 4383, 707, 13038, 13574, 619, 15278, 563, 263, 6734, 264, 476, 7176, 277, 273, 476, 24907, 271, 0, 15430, 2925, 543, 11177, 6217, 454, 5719, 2378, 1145, 5540, 476, 272, 269, 276, 5479, 1004, 5001, 267, 476, 25396, 2929, 540, 7247, 723, 6603, 519, 3942, 540, 9659, 8506, 6217, 11226, 272, 563, 3528, 476, 14225, 271, 267, 476, 273, 269, 276, 5479, 1004, 786, 581, 4299, 272, 563, 763, 2622, 2657, 9257, 9193, 519, 6848, 1764, 540, 18555, 1145, 693, 5176, 1269, 272, 267, 1822, 5479, 513, 1032, 2336, 763, 1072, 543, 1480, 6286, 540, 18555, 1145, 616, 782, 519, 3152, 1317, 621, 568, 519, 2014, 540, 824, 2619, 3098, 563, 308, 660, 8972, 610, 14605, 5701, 18555, 1145, 5012, 547, 930, 17288, 824, 10108, 610, 5739, 4539, 585, 4299, 2550, 267, 971, 607, 454, 268, 16723, 4713, 971, 607, 4965, 610, 1514, 943, 14113, 630, 2304, 3806, 1341, 1911, 260, 273, 994, 268, 16842, 3007, 543, 5834, 2042, 22791, 1220, 260, 273, 994, 268, 6764, 8529, 5042, 267, 1514, 543, 3929, 1646, 538, 1453, 22791, 1911, 260, 273, 994, 763, 1514, 543, 3929, 10072, 602, 666, 1267, 689, 18555, 1145, 12750, 625, 29047, 4555, 676, 513, 3815, 540, 476, 276, 267, 543, 11980, 8942, 676, 513, 3815, 540, 476, 3451, 563, 2690, 519, 1482, 4128, 540, 10072, 267, 18555, 1145, 5540, 2634, 29010, 269, 634, 3095, 1063, 18555, 1145, 543, 12110, 814, 1631, 1044, 23963, 7152, 912, 268, 476, 279, 260, 540, 12110, 2665, 275, 454, 268, 476, 272, 560, 28824, 2014, 540, 31895, 17654, 3676, 275, 454, 268, 476, 2412, 260, 540, 28824, 2665, 540, 12110, 275, 454, 288, 3095, 1063, 18555, 1145, 543, 15325, 814, 849, 1044, 3964, 269, 8617, 946, 540, 6217, 11226, 6971, 16349, 9019, 676, 476, 2190, 260, 276, 563, 6624, 18032, 543, 6217, 11226, 616, 711, 10357, 27059, 610, 2966, 547, 581, 1065, 2967, 571, 1076, 563, 5445, 616, 6140, 14475, 538, 2504, 10851, 2484, 689, 519, 2477, 1141, 789, 616, 4421, 269, 3509, 3631, 616, 3812, 538, 5607, 2073, 585, 1383, 267, 1152, 547, 581, 16865, 883, 2342, 610, 3345, 3013, 563, 763, 6217, 5823, 781, 3327, 11640, 2115, 547, 581, 4824, 267, 689, 519, 1374, 540, 519, 2504, 2030, 1318, 998, 547, 1310, 1606, 2297, 3028, 563, 18744, 476, 1015, 260, 540, 1546, 30794, 3663, 1376, 13522, 609, 606, 4853, 4938, 566, 3132, 741, 10124, 2933, 277, 563, 4263, 14675, 10631, 267, 649, 616, 18617, 602, 4835, 1944, 938, 5663, 568, 1312, 606, 4835, 7580, 4161, 267, 7175, 721, 547, 581, 811, 5499, 267, 543, 513, 4161, 540, 3084, 16285, 585, 20495, 4853, 4525, 563, 21357, 3457, 616, 1641, 547, 1951, 935, 1014, 9431, 10148, 543, 4441, 547, 2327, 3461, 3106, 563, 4263, 519, 1482, 942, 267, 1100, 4441, 4019, 547, 519, 2324, 2175, 540, 5520, 6721, 891, 3457, 563, 11693, 519, 18979, 6735, 538, 519, 6217, 5351, 5823, 267, 1082, 3631, 616, 14475, 538, 1970, 21057, 2477, 538, 1931, 547, 2569, 5663, 3790, 563, 4263, 14675, 10631, 267, 649, 616, 8149, 547, 6721, 538, 2477, 1141, 2199, 1514, 4441, 2327, 22510, 2324, 2175, 543, 13848, 585, 5520, 563, 272, 2622, 2657, 9257, 454, 273, 3943, 12080, 540, 2657, 267, 667, 3925, 632, 3288, 973, 615, 3832, 267, 964, 476, 18863, 26360, 267, 632, 561, 262, 2946, 1998, 6672, 1696, 964, 2493, 626, 2294, 454, 274, 2382, 26623, 632, 1654, 4068, 7254, 7534, 790, 630, 1103, 309, 306, 264, 1696, 632, 561, 262, 9743, 26623, 3084, 632, 929, 2946, 3685, 1696, 546, 262, 2946, 3027, 566, 13248, 3288, 521, 656, 2946, 630, 1103, 6647, 994, 275, 1546, 10879, 6604, 267, 6304, 267, 543, 1416, 281, 476, 1708, 271, 1867, 540, 519, 31102, 8189, 454, 276, 932, 16211, 267, 808, 269, 590, 1421, 17566, 267, 631, 269, 661, 1421, 595, 3234, 332, 1231, 267, 661, 269, 631, 1421, 6931, 267, 674, 269, 681, 1421, 1299, 589, 2812, 10921, 267, 808, 269, 589, 269, 630, 1708, 275, 1040, 5948, 1063, 6217, 5351, 946, 543, 9019, 538, 4079, 609, 6217, 2530, 538, 519, 7330, 281, 513, 9019, 1246, 5346, 1353, 540, 513, 3444, 22891, 20165, 269, 634, 31102, 13245, 31701, 14423, 454, 277, 645, 18444, 5333, 267, 4853, 1376, 5346, 0, 763, 11588, 540, 744, 1598, 747, 29133, 281, 589, 13245, 543, 12655, 20010, 454, 1103, 2487, 1296, 267, 522, 1598, 747, 5779, 814, 7153, 607, 513, 2635, 543, 4264, 4244, 547, 2757, 16469, 269, 901, 2376, 7710, 519, 1585, 9422, 267, 2825, 543, 11477, 2640, 540, 10438, 522, 1598, 747, 5779, 563, 20181, 538, 15310, 543, 2836, 1559, 454, 302, 1598, 747, 5779, 568, 1634, 585, 922, 1970, 3170, 1543, 267, 2523, 950, 3379, 547, 2757, 2699, 5779, 269, 898, 3091, 513, 10709, 3940, 4781, 267, 609, 7864, 8477, 543, 8501, 563, 23613, 538, 26287, 1231, 543, 715, 19153, 454, 1103, 1840, 547, 1373, 606, 5140, 2707, 540, 3940, 267, 522, 1598, 747, 5779, 568, 3638, 538, 1898, 8324, 543, 6886, 267, 971, 607, 4401, 267, 13058, 543, 6171, 645, 1321, 267, 799, 616, 2629, 585, 1973, 543, 4761, 1062, 1072, 563, 26244, 2358, 26723, 878, 1127, 814, 513, 3648, 2539, 2825, 1764, 3379, 547, 9870, 12418, 610, 14918, 269, 744, 560, 878, 1127, 2154, 1447, 2244, 267, 1216, 543, 1426, 2200, 563, 305, 14445, 532, 5682, 5264, 13937, 2506, 3827, 454, 302, 560, 878, 1127, 3132, 7864, 15655, 5434, 982, 12418, 267, 1818, 741, 8105, 811, 13476, 7874, 538, 519, 2796, 540, 2916, 1689, 563, 309, 619, 12546, 538, 519, 28881, 454, 302, 1598, 747, 5779, 568, 5393, 11684, 543, 666, 581, 5423, 538, 513, 3099, 540, 2081, 267, 689, 1989, 3739, 543, 887, 8463, 547, 12403, 338, 543, 3276, 7970, 563, 6624, 598, 7224, 23579, 2720, 4766, 522, 1598, 747, 5779, 607, 2348, 513, 3638, 267, 5594, 4418, 2678, 8137, 982, 14132, 267, 5356, 513, 2189, 11477, 1995, 563, 302, 1598, 747, 5779, 4564, 513, 14312, 267, 13476, 4264, 543, 8949, 4244, 547, 2757, 16469, 269, 4706, 3395, 8560, 568, 711, 1152, 513, 7678, 267, 855, 849, 513, 2318, 1900, 2509, 8902, 543, 811, 3743, 4189, 2853, 563, 302, 1598, 747, 8405, 11600, 609, 865, 325, 807, 6230, 5060, 698, 1092, 454, 8450, 811, 3877, 1934, 2336, 3725, 10360, 9669, 1934, 2336, 2414, 4444, 744, 1598, 747, 29133, 4945, 1934, 256, 0, 18693, 6955, 10415, 281, 7169, 1944, 519, 2622, 540, 1773, 10415, 454, 7021, 519, 2250, 1906, 5756, 267, 972, 814, 1044, 3395, 6161, 827, 519, 2825, 1764, 540, 2757, 15229, 269, 14216, 1882, 689, 19020, 3282, 267, 891, 15229, 1491, 7366, 540, 1296, 547, 31693, 267, 7700, 547, 519, 5533, 540, 938, 12084, 543, 26071, 269, 769, 2487, 1296, 267, 2705, 267, 513, 9621, 4244, 814, 7153, 1107, 1979, 6955, 10415, 269, 17214, 689, 7791, 2200, 971, 607, 2371, 267, 1979, 6955, 10415, 2709, 513, 811, 4264, 543, 10357, 7888, 3070, 547, 938, 5068, 4616, 269, 1809, 1018, 4010, 616, 1979, 6955, 10415, 1031, 585, 267, 543, 1946, 616, 789, 11543, 8560, 888, 18693, 6955, 10415, 666, 581, 17618, 19040, 883, 1079, 2010, 281, 6915, 2861, 15229, 543, 27500, 15229, 269, 12713, 2861, 15229, 616, 1500, 689, 7791, 2959, 267, 1247, 27500, 15229, 723, 519, 2702, 547, 31693, 1369, 1808, 2175, 563, 3080, 540, 519, 3119, 3096, 540, 1979, 6955, 10415, 568, 538, 11183, 2326, 269, 634, 3747, 585, 1979, 31129, 11183, 814, 1044, 2810, 20406, 607, 6800, 1831, 811, 3222, 540, 519, 2825, 1764, 540, 2757, 11183, 2326, 269, 4437, 6955, 10415, 666, 581, 9044, 539, 547, 1106, 1585, 5546, 543, 7306, 267, 1818, 873, 5078, 585, 6721, 11183, 8874, 267, 14569, 267, 911, 903, 267, 543, 11435, 269, 9521, 2757, 15229, 267, 1979, 6955, 10415, 2709, 4389, 3327, 5434, 1282, 2504, 543, 666, 1419, 581, 11003, 762, 610, 6691, 762, 267, 10893, 3653, 5108, 563, 5194, 1713, 3498, 540, 1979, 6955, 10415, 568, 538, 519, 6694, 2872, 269, 1635, 1210, 1979, 6955, 10415, 585, 22890, 8874, 267, 6705, 666, 3986, 7693, 7607, 1247, 4227, 2825, 2800, 269, 25109, 577, 8874, 948, 1852, 18290, 2208, 267, 3037, 11761, 267, 543, 7509, 12802, 267, 4611, 538, 8902, 7031, 269, 21954, 22869, 22890, 8874, 1500, 689, 1979, 6955, 10415, 3565, 547, 4227, 5533, 2157, 267, 607, 789, 6923, 2736, 1524, 883, 1875, 3562, 13877, 2326, 538, 519, 3037, 563, 763, 2564, 2361, 814, 849, 17947, 519, 1761, 540, 1979, 6955, 10415, 269, 21954, 22869, 10551, 18032, 267, 2813, 689, 1979, 6955, 10415, 267, 723, 9927, 2564, 5574, 676, 3246, 10151, 1489, 3889, 602, 23271, 936, 942, 269, 1452, 18032, 666, 581, 1031, 585, 1585, 3156, 267, 971, 607, 5642, 30651, 267, 5160, 4702, 267, 543, 3075, 6765, 1949, 269, 4437, 6955, 10415, 1031, 538, 891, 18032, 2569, 519, 1981, 540, 5563, 543, 7766, 23361, 585, 15498, 8851, 267, 1247, 849, 10893, 3653, 563, 1103, 2487, 1296, 267, 972, 814, 1044, 606, 22705, 25973, 538, 1719, 1472, 1979, 31129, 2861, 20955, 269, 1849, 5847, 9755, 723, 3323, 6220, 1979, 6955, 10415, 883, 741, 17234, 267, 5356, 513, 811, 4264, 4244, 547, 10991, 2326, 269, 4437, 6955, 10415, 6508, 689, 2067, 2959, 267, 971, 607, 8970, 610, 19348, 267, 666, 581, 9927, 883, 11103, 543, 20762, 609, 824, 11103, 899, 10412, 610, 4874, 6856, 547, 1711, 10357, 7888, 20955, 269, 4437, 31129, 20955, 723, 1044, 1031, 547, 1118, 7802, 267, 10887, 267, 543, 1256, 1753, 29939, 902, 267, 23695, 547, 519, 2810, 3747, 585, 4264, 6752, 3681, 563, 19741, 891, 1808, 3156, 267, 1979, 6955, 10415, 723, 519, 1761, 547, 22499, 513, 2647, 2039, 540, 6080, 269, 1280, 3236, 267, 789, 666, 581, 1031, 538, 7082, 5370, 899, 9162, 610, 10051, 2264, 267, 3246, 513, 10930, 4244, 585, 1453, 543, 4227, 519, 2825, 11640, 269, 4437, 6955, 10415, 666, 849, 581, 8246, 538, 519, 16669, 2872, 267, 13868, 2757, 15229, 538, 1286, 954, 12542, 267, 8440, 267, 543, 3334, 267, 4227, 2597, 267, 543, 7700, 547, 4492, 4398, 563, 2026, 1979, 6955, 10415, 2744, 8560, 267, 621, 568, 1271, 547, 4063, 602, 741, 2347, 10073, 3340, 5466, 2591, 4478, 1942, 267, 25382, 267, 543, 1439, 6361, 3734, 2359, 269, 17497, 267, 1979, 6955, 10415, 616, 1419, 811, 7199, 547, 3132, 3379, 547, 2757, 15229, 269, 1717, 267, 609, 7760, 538, 2029, 543, 2799, 3747, 267, 2504, 3790, 616, 4397, 547, 6175, 269, 3958, 267, 1697, 3653, 2359, 543, 9657, 5989, 991, 547, 581, 538, 1747, 547, 2327, 602, 1979, 6955, 10415, 616, 26356, 540, 19100, 543, 798, 711, 1439, 909, 538, 26071, 267, 1141, 789, 666, 723, 2147, 2825, 5222, 607, 2757, 15229, 563, 1103, 3932, 267, 1979, 6955, 10415, 2709, 513, 9621, 4244, 547, 2757, 15229, 267, 3246, 513, 4264, 543, 10357, 7888, 3070, 585, 1585, 3156, 269, 4256, 946, 538, 11183, 267, 6683, 267, 4915, 267, 20955, 267, 543, 824, 6080, 9727, 519, 17545, 540, 1979, 6955, 10415, 269, 2755, 2591, 6414, 267, 5571, 1382, 543, 1646, 3646, 616, 6679, 909, 1007, 3255, 585, 519, 7839, 946, 540, 1979, 6955, 10415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10501, 6685, 568, 606, 17916, 20882, 538, 1480, 2470, 269, 1879, 17701, 4362, 519, 1007, 1158, 267, 5215, 1166, 18088, 547, 2263, 621, 856, 540, 7279, 269, 1284, 616, 593, 519, 524, 22273, 540, 1390, 3408, 267, 519, 10785, 538, 938, 3859, 1062, 723, 3323, 547, 581, 8268, 267, 4358, 609, 9370, 269, 9370, 814, 9676, 519, 3007, 540, 19936, 585, 5553, 269, 769, 3504, 2053, 267, 519, 16380, 2219, 540, 9370, 607, 519, 5601, 540, 2112, 1813, 547, 922, 2699, 512, 842, 269, 9370, 1185, 1044, 19876, 883, 519, 30425, 2899, 1586, 543, 568, 2938, 607, 519, 1985, 1900, 585, 2230, 3408, 269, 1306, 971, 267, 3875, 2230, 8041, 723, 2944, 13485, 547, 9370, 936, 519, 1296, 543, 519, 17091, 540, 9370, 568, 10567, 547, 2049, 538, 519, 2282, 2104, 269, 634, 1646, 540, 891, 2230, 28525, 814, 4957, 7494, 936, 519, 1296, 4358, 609, 519, 1101, 2230, 28525, 2366, 547, 9370, 563, 763, 8168, 5742, 9250, 519, 476, 272, 300, 3143, 269, 476, 272, 267, 476, 272, 300, 3143, 269, 273, 267, 476, 273, 300, 309, 268, 275, 3143, 269, 272, 267, 543, 9370, 476, 272, 2230, 28525, 689, 476, 3422, 271, 268, 3422, 273, 267, 799, 782, 8694, 538, 5821, 269, 2353, 540, 891, 28525, 1031, 513, 20703, 14269, 5984, 700, 272, 268, 275, 300, 15177, 799, 729, 6508, 689, 519, 681, 268, 278, 3126, 540, 31244, 543, 729, 8385, 1031, 547, 1118, 3955, 11666, 1581, 11831, 2065, 7323, 3796, 269, 1452, 31244, 723, 2614, 19876, 547, 2312, 3047, 779, 10739, 543, 723, 1044, 9168, 547, 4196, 607, 15298, 31244, 585, 1034, 8168, 2230, 28525, 9250, 538, 519, 476, 736, 628, 2540, 269, 634, 2038, 8747, 540, 2230, 28525, 941, 13324, 676, 476, 5655, 18041, 699, 16923, 20017, 26606, 5991, 1157, 601, 9075, 543, 1079, 3859, 8470, 12209, 269, 1452, 3859, 8440, 9867, 538, 2450, 855, 941, 2356, 476, 2764, 13483, 10264, 269, 901, 3177, 2614, 1379, 585, 519, 16785, 547, 5968, 543, 4558, 513, 3787, 540, 4430, 585, 950, 519, 991, 14340, 269, 1280, 2792, 267, 513, 476, 272, 269, 278, 544, 630, 276, 269, 277, 10264, 264, 1612, 20326, 1164, 2744, 19215, 729, 1031, 267, 607, 1134, 607, 606, 9631, 333, 573, 27399, 19215, 543, 513, 10859, 1673, 27399, 19215, 269, 1452, 32110, 941, 519, 1152, 3364, 602, 1500, 2792, 609, 519, 16785, 2009, 269, 1452, 14361, 5645, 1585, 3621, 7405, 609, 873, 547, 1353, 519, 5888, 540, 9370, 685, 5790, 267, 5982, 2157, 267, 543, 513, 30162, 540, 824, 1919, 950, 789, 3893, 547, 741, 10278, 269, 634, 9370, 476, 272, 300, 3143, 269, 476, 272, 5645, 513, 5982, 18785, 267, 17184, 11920, 16263, 267, 27657, 9196, 1062, 267, 543, 513, 19706, 2992, 10309, 269, 15328, 6193, 18422, 24985, 2268, 519, 1648, 543, 4287, 540, 22571, 543, 13672, 5536, 269, 634, 8613, 9196, 1062, 4847, 519, 16785, 547, 1491, 543, 6494, 5961, 540, 9370, 1394, 547, 3047, 563, 22498, 9250, 513, 1906, 540, 922, 1378, 13485, 2663, 593, 538, 519, 8717, 799, 3769, 513, 5354, 540, 519, 476, 1015, 2173, 2153, 3057, 10719, 1982, 269, 1452, 28525, 1185, 519, 3804, 540, 8757, 9370, 543, 3695, 922, 1114, 2934, 269, 901, 729, 2944, 538, 513, 3126, 540, 8038, 321, 903, 543, 835, 3811, 10739, 2944, 676, 519, 3057, 10719, 28525, 269, 1452, 28525, 1305, 519, 24536, 585, 2663, 13485, 10443, 676, 8331, 563, 763, 3057, 10719, 476, 275, 6192, 519, 1101, 3811, 8038, 2421, 540, 9370, 538, 476, 3422, 275, 269, 634, 3057, 10719, 3126, 540, 28525, 941, 9250, 593, 25304, 31244, 267, 799, 616, 1977, 13358, 762, 28862, 269, 634, 1101, 1906, 540, 28525, 941, 13324, 676, 476, 2764, 267, 476, 23470, 3859, 2281, 8659, 538, 2185, 476, 12293, 1535, 476, 3445, 4699, 3859, 8440, 269, 1452, 3859, 8440, 666, 1683, 476, 20542, 26334, 540, 1379, 2282, 9370, 543, 519, 4430, 568, 2322, 883, 513, 22507, 762, 476, 6344, 271, 654, 3620, 8988, 22271, 4532, 6007, 269, 634, 3859, 8440, 941, 4824, 538, 519, 2663, 8747, 267, 971, 607, 519, 3057, 10719, 476, 278, 267, 547, 1683, 476, 4510, 280, 26334, 950, 2282, 9370, 543, 476, 8517, 26334, 593, 3047, 269, 634, 3017, 538, 1379, 5108, 2501, 689, 8519, 7943, 1813, 547, 519, 2799, 3845, 689, 519, 3141, 269, 634, 20991, 596, 616, 689, 519, 3141, 267, 519, 1447, 13671, 519, 3141, 1769, 3587, 269, 634, 3057, 10719, 476, 275, 729, 513, 22082, 538, 1210, 513, 5182, 607, 513, 4044, 1049, 1843, 3079, 540, 519, 3047, 269, 634, 16785, 1031, 519, 5182, 2052, 333, 22455, 607, 513, 4044, 1049, 4704, 1448, 593, 922, 8038, 2421, 540, 9370, 269, 901, 4847, 519, 16785, 547, 2951, 593, 1576, 1510, 1373, 538, 2070, 540, 3047, 267, 799, 5921, 602, 3476, 16831, 1137, 1131, 581, 1500, 2009, 676, 713, 2029, 563, 763, 3057, 10719, 476, 280, 729, 519, 1101, 14361, 547, 10739, 1776, 4541, 269, 901, 9028, 729, 12913, 538, 476, 3192, 272, 543, 7522, 569, 10726, 519, 7737, 328, 1115, 676, 4374, 609, 741, 10131, 540, 9370, 476, 273, 543, 476, 274, 269, 634, 3057, 10719, 11497, 3438, 3576, 5215, 540, 6337, 540, 9370, 685, 2627, 543, 7000, 1082, 540, 9370, 17027, 2934, 971, 607, 922, 5458, 22747, 267, 23090, 666, 344, 976, 267, 543, 26742, 19631, 1835, 11596, 269, 634, 3057, 10719, 476, 280, 1031, 606, 25304, 2578, 4768, 5937, 15177, 1317, 621, 729, 3648, 18219, 982, 922, 3057, 10719, 13413, 269, 898, 26693, 476, 4200, 278, 269, 278, 4846, 593, 10131, 799, 729, 811, 982, 5595, 982, 1018, 519, 476, 30329, 4846, 3057, 10719, 476, 278, 26693, 269, 634, 3057, 10719, 476, 280, 1031, 513, 27723, 4824, 9196, 1062, 950, 3379, 547, 922, 21530, 25600, 269, 634, 3057, 10719, 476, 280, 729, 2111, 547, 2594, 513, 6571, 540, 476, 17168, 3952, 829, 18920, 267, 799, 568, 682, 8046, 6619, 540, 519, 476, 273, 267, 7785, 3952, 829, 18920, 540, 519, 2250, 269, 901, 7914, 538, 6571, 7494, 4824, 519, 3239, 2298, 9676, 676, 519, 11497, 3438, 543, 5280, 538, 7114, 1883, 3889, 689, 519, 9370, 5251, 269, 2368, 540, 891, 3889, 1331, 519, 10493, 639, 631, 976, 267, 519, 966, 718, 525, 3057, 10719, 529, 267, 543, 1585, 824, 17027, 7907, 563, 763, 8168, 5742, 849, 2366, 513, 1906, 2230, 28525, 540, 741, 1378, 1282, 519, 2038, 476, 3583, 338, 267, 971, 607, 519, 9370, 3292, 799, 15538, 540, 476, 279, 13485, 609, 519, 6852, 3804, 540, 3695, 9370, 269, 4934, 540, 891, 476, 279, 13485, 267, 1152, 476, 273, 941, 3811, 32586, 9370, 476, 273, 543, 476, 274, 10739, 619, 269, 634, 9370, 476, 273, 16785, 729, 1500, 909, 540, 606, 11497, 3438, 543, 513, 2244, 518, 799, 26693, 9748, 811, 982, 741, 1977, 5973, 757, 269, 634, 5916, 2597, 540, 1312, 519, 2244, 518, 543, 11497, 3438, 729, 476, 275, 267, 20981, 4846, 693, 10131, 3379, 547, 519, 476, 4200, 278, 4846, 689, 519, 3057, 10719, 476, 280, 269, 634, 2244, 518, 8959, 547, 9108, 2244, 593, 9370, 855, 519, 11497, 3438, 7307, 547, 6707, 10739, 9370, 543, 1353, 519, 4541, 1369, 922, 10739, 269, 634, 11497, 3438, 1185, 1044, 28459, 1540, 609, 1585, 3621, 7405, 267, 519, 21777, 835, 540, 799, 729, 519, 22292, 26563, 2678, 269, 901, 4847, 519, 16785, 547, 2268, 519, 13590, 5982, 602, 729, 1459, 593, 9370, 269, 634, 11497, 3438, 849, 1336, 602, 2627, 5210, 593, 9370, 2039, 689, 910, 8099, 21508, 481, 547, 476, 1724, 21508, 481, 267, 519, 2627, 2604, 540, 9370, 267, 543, 922, 1216, 11517, 1543, 563, 22498, 9250, 519, 25655, 1982, 799, 729, 1500, 909, 540, 519, 25655, 476, 272, 543, 476, 273, 13485, 538, 476, 3192, 276, 269, 634, 1292, 3804, 540, 713, 1982, 729, 547, 3406, 585, 1272, 593, 9370, 543, 2263, 811, 540, 9370, 1210, 2244, 619, 543, 10739, 619, 269, 634, 18618, 10739, 619, 941, 9280, 609, 966, 3041, 12514, 267, 8143, 8596, 267, 543, 10790, 310, 291, 8596, 1031, 547, 4786, 1216, 11517, 269, 634, 2244, 619, 1031, 2604, 267, 2837, 267, 543, 5860, 8596, 593, 13941, 269, 634, 25655, 2244, 518, 1031, 9932, 18474, 11956, 8710, 4726, 1499, 547, 10110, 519, 13941, 267, 799, 941, 1454, 14402, 543, 6793, 982, 741, 4401, 21530, 25600, 269, 1323, 476, 1240, 5991, 334, 14794, 1374, 729, 1031, 609, 519, 13941, 31244, 865, 519, 4478, 1604, 7283, 3768, 626, 32328, 267, 799, 1131, 581, 2877, 585, 519, 6901, 2196, 676, 519, 25655, 2244, 518, 269, 634, 2244, 518, 729, 2111, 547, 1491, 31858, 25271, 5961, 540, 9370, 543, 1305, 909, 513, 20794, 3095, 609, 519, 11497, 3438, 547, 6494, 1239, 936, 476, 1015, 2053, 5488, 982, 513, 1463, 3095, 269, 634, 2244, 619, 1185, 513, 1906, 2318, 2164, 538, 519, 6901, 855, 4986, 6405, 729, 1336, 827, 519, 6228, 540, 1272, 593, 9370, 563, 5475, 5176, 476, 273, 5756, 1510, 1022, 1007, 14361, 267, 8331, 9250, 519, 9370, 6820, 11752, 528, 538, 476, 1960, 277, 269, 634, 3804, 540, 519, 9370, 6820, 5619, 528, 729, 547, 11451, 4786, 519, 3003, 4541, 540, 9370, 269, 634, 5619, 528, 849, 5280, 887, 951, 1265, 1007, 4609, 547, 2263, 2663, 593, 538, 922, 1272, 269, 634, 6820, 11752, 528, 729, 28459, 1540, 609, 513, 9370, 2107, 321, 3438, 31396, 29687, 8016, 1040, 634, 631, 8016, 729, 7768, 540, 476, 274, 7405, 281, 589, 7522, 1164, 6571, 8254, 263, 272, 269, 276, 547, 476, 1321, 544, 829, 18920, 1070, 513, 11954, 2647, 5086, 8254, 263, 15996, 544, 829, 18920, 1070, 543, 513, 3232, 2518, 4337, 518, 263, 274, 269, 272, 547, 476, 278, 269, 276, 5998, 829, 18920, 1040, 18647, 4083, 31244, 941, 1031, 547, 10131, 519, 476, 272, 267, 1822, 4846, 9370, 6820, 11752, 528, 883, 2230, 269, 634, 18647, 4083, 31244, 8428, 689, 25304, 31244, 538, 602, 519, 18647, 666, 6023, 513, 18219, 31139, 1510, 2269, 1456, 896, 519, 4452, 269, 634, 9370, 6820, 11752, 528, 1185, 606, 4244, 1259, 547, 5352, 1379, 269, 9891, 8440, 991, 513, 1463, 1899, 540, 8289, 547, 519, 3141, 547, 3132, 5201, 267, 865, 952, 519, 14361, 568, 3297, 513, 4541, 610, 538, 2620, 2230, 267, 519, 14361, 1131, 581, 1379, 1652, 269, 6271, 4781, 585, 1379, 5108, 3217, 5413, 540, 519, 3002, 6383, 676, 14599, 9178, 543, 666, 1683, 1379, 585, 1296, 1247, 2921, 909, 1360, 2370, 2230, 269, 1358, 2308, 14599, 2326, 971, 607, 1773, 583, 28016, 543, 28800, 1756, 547, 3132, 3002, 543, 6460, 713, 3002, 883, 1648, 269, 901, 568, 1634, 607, 5925, 529, 582, 2100, 1379, 1949, 263, 20670, 294, 264, 543, 814, 1044, 1031, 538, 513, 3099, 540, 8331, 13485, 585, 519, 2063, 476, 276, 5756, 267, 971, 607, 21011, 476, 1556, 267, 4354, 6685, 9370, 30024, 267, 543, 519, 18706, 7236, 16785, 563, 1103, 13287, 540, 27792, 4478, 519, 6228, 540, 1216, 270, 823, 593, 9370, 267, 8331, 31782, 519, 476, 1220, 272, 9370, 31660, 269, 18647, 4083, 31244, 941, 1031, 547, 10131, 519, 476, 4037, 279, 4846, 11497, 3438, 883, 2230, 269, 634, 1614, 3119, 7405, 1031, 676, 519, 31660, 941, 281, 26365, 2506, 2153, 24919, 3590, 263, 15578, 300, 3041, 1070, 519, 717, 10397, 14105, 15190, 668, 2678, 31855, 11965, 1070, 543, 519, 9370, 24658, 5113, 15331, 29687, 2752, 23966, 1040, 5990, 300, 3041, 568, 513, 8254, 602, 2592, 9370, 538, 18342, 543, 11887, 1018, 519, 2666, 568, 1500, 540, 676, 519, 4908, 540, 519, 5955, 907, 901, 666, 581, 1031, 547, 3313, 2436, 972, 568, 4672, 9944, 519, 2666, 543, 1018, 519, 8701, 4525, 616, 7768, 540, 269, 717, 11965, 7024, 1344, 827, 9370, 27177, 267, 799, 568, 2523, 3730, 585, 887, 951, 865, 789, 917, 1141, 789, 616, 2469, 269, 27107, 23966, 3800, 519, 5982, 538, 519, 1604, 543, 11887, 2436, 621, 1131, 581, 2922, 585, 513, 1480, 563, 5475, 519, 2490, 540, 519, 1984, 29646, 267, 30673, 3323, 547, 6494, 856, 13485, 540, 922, 1378, 547, 9370, 269, 634, 1101, 540, 799, 729, 519, 9370, 18124, 269, 634, 11497, 3438, 1185, 606, 11956, 9932, 18474, 4806, 585, 922, 1560, 543, 1079, 476, 736, 544, 1279, 16702, 1961, 32110, 269, 634, 14361, 729, 13324, 676, 476, 1556, 269, 5655, 4009, 7397, 540, 3859, 8440, 1500, 689, 13339, 2281, 267, 799, 3132, 476, 32133, 654, 269, 5295, 568, 6740, 538, 1614, 16864, 23760, 9075, 609, 519, 4390, 547, 4558, 476, 5038, 269, 279, 13259, 267, 799, 568, 1031, 1282, 3859, 17772, 2354, 525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1154, 2509, 513, 1871, 602, 3947, 1732, 4960, 540, 2348, 3193, 1858, 994, 1038, 8173, 1038, 562, 815, 7003, 263, 19417, 994, 1038, 2451, 267, 2431, 284, 271, 19885, 268, 272, 454, 1038, 3193, 318, 19327, 815, 10581, 2891, 268, 8882, 5602, 1038, 585, 1775, 538, 4463, 912, 2018, 952, 4463, 314, 3847, 316, 2999, 4463, 314, 2431, 13912, 258, 9337, 519, 1858, 1210, 4463, 540, 2451, 543, 1847, 2509, 1318, 454, 3546, 3193, 318, 19327, 815, 3193, 32384, 318, 19327, 267, 19417, 314, 3847, 30297, 630, 2431, 268, 2451, 4917, 3546, 2451, 23785, 272, 454, 2018, 3116, 281, 258, 9337, 519, 1858, 1210, 4463, 540, 2451, 543, 1847, 2509, 2451, 454, 3546, 3193, 318, 19327, 815, 3193, 32384, 318, 19327, 267, 19417, 314, 2431, 30297, 630, 2431, 268, 2451, 4917, 3546, 1318, 268, 284, 272, 28329, 1038, 2132, 3193, 318, 19327, 0, 3698, 23049, 263, 10339, 1833, 2187, 825, 20525, 318, 13052, 11266, 815, 18358, 263, 3299, 1412, 314, 3299, 1412, 346, 23300, 825, 14160, 318, 13052, 11266, 815, 1496, 10807, 3299, 1412, 316, 3299, 1412, 348, 23300, 825, 2910, 305, 305, 318, 12487, 815, 2715, 8008, 318, 13052, 11266, 5157, 13912, 14160, 318, 13052, 11266, 5157, 316, 585, 1775, 538, 2039, 12759, 263, 8008, 318, 13052, 11266, 4297, 8679, 825, 10518, 815, 11713, 825, 585, 1347, 538, 4082, 912, 1038, 952, 1347, 538, 20525, 318, 13052, 11266, 912, 2018, 10518, 6910, 263, 10420, 994, 1038, 8640, 1347, 538, 14160, 318, 13052, 11266, 543, 10518, 11203, 32582, 543, 2910, 305, 305, 318, 12487, 314, 23637, 15631, 272, 14963, 2652, 1347, 912, 2018, 10518, 21014, 4590, 1038, 8640, 1347, 538, 14160, 318, 13052, 11266, 912, 2018, 2132, 8771, 692, 825, 2132, 10518, 2652, 11713, 0, 258, 256, 23591, 24800, 270, 7090, 454, 258, 8193, 281, 583, 325, 279, 454, 1029, 10461, 1029, 815, 1412, 5652, 12541, 737, 10455, 514, 743, 3716, 287, 336, 336, 2593, 28847, 19399, 2162, 454, 16482, 16482, 258, 825, 9226, 14395, 502, 419, 377, 495, 14756, 481, 18263, 510, 454, 16482, 258, 567, 5569, 22614, 505, 372, 10429, 367, 418, 497, 491, 30853, 454, 16482, 16482, 19399, 2162, 692, 11415, 318, 272, 815, 27719, 339, 3733, 2012, 568, 918, 10455, 514, 8206, 1422, 333, 28982, 15526, 15323, 11415, 318, 273, 815, 29185, 2999, 6255, 6447, 11417, 825, 2999, 7853, 11417, 1038, 28982, 3025, 2336, 825, 21742, 7853, 11417, 21742, 6255, 6447, 285, 7531, 12163, 2745, 5569, 318, 272, 267, 5569, 318, 273, 7531, 258, 476, 274, 2053, 1412, 684, 262, 2073, 4553, 676, 1412, 1756, 7055, 11415, 318, 274, 815, 476, 274, 265, 257, 684, 257, 266, 257, 1756, 5016, 2745, 5569, 318, 274, 692, 11415, 318, 275, 815, 834, 13695, 257, 834, 628, 517, 4840, 2745, 5569, 318, 275, 692, 11415, 318, 276, 815, 834, 23911, 4840, 2745, 5569, 318, 276, 314, 271, 3910, 5569, 318, 276, 314, 274, 2639, 2745, 5569, 318, 276, 15631, 272, 3910, 5569, 318, 276, 15631, 273, 3910, 5569, 318, 276, 15631, 277, 2639, 2745, 5569, 318, 276, 314, 271, 281, 273, 3910, 5569, 318, 276, 314, 273, 281, 276, 2639, 2745, 5569, 318, 276, 11468, 273, 27994, 11415, 318, 276, 314, 273, 281, 2639, 2745, 5569, 318, 276, 11468, 275, 27994, 11415, 318, 276, 314, 275, 281, 2639, 2745, 5569, 318, 276, 11468, 273, 3910, 5569, 318, 276, 314, 275, 281, 3910, 5569, 318, 276, 15631, 273, 281, 6540, 454, 258, 476, 1341, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 32504, 258, 476, 1923, 623, 1923, 586, 1923, 512, 1923, 554, 1923, 522, 1923, 562, 11406, 258, 476, 1341, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 32504, 258, 476, 476, 271, 567, 476, 272, 567, 476, 273, 567, 476, 274, 567, 476, 275, 567, 476, 276, 567, 476, 277, 454, 258, 910, 277, 476, 910, 276, 476, 910, 275, 476, 910, 274, 476, 910, 273, 476, 910, 272, 692, 2745, 5569, 318, 276, 314, 275, 281, 5655, 3910, 5569, 318, 276, 314, 5655, 281, 6540, 2745, 1412, 297, 262, 266, 11415, 318, 276, 314, 272, 281, 2639, 2745, 7003, 30415, 318, 276, 1070, 7003, 2891, 2346, 2346, 2346, 2346, 2346, 2346, 9536, 9536, 9536, 9536, 9536, 15419, 258, 476, 274, 269, 272, 269, 274, 27033, 1712, 12673, 692, 2745, 579, 262, 15916, 2622, 8206, 7055, 2745, 579, 262, 15916, 315, 340, 16573, 271, 13328, 8206, 7055, 2745, 579, 262, 15916, 11138, 340, 16573, 271, 13328, 8206, 7055, 2745, 579, 257, 29582, 2580, 1193, 26086, 257, 29582, 5602, 258, 1820, 1193, 26086, 257, 7564, 7238, 6686, 20257, 523, 13892, 3488, 583, 325, 268, 279, 5073, 2745, 27033, 1712, 28361, 343, 322, 274, 315, 343, 320, 275, 315, 343, 322, 274, 315, 343, 321, 277, 315, 343, 322, 274, 315, 343, 25900, 3299, 1412, 583, 325, 268, 279, 262, 9239, 258, 476, 274, 269, 272, 269, 275, 700, 1235, 692, 338, 638, 4100, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 2639, 2745, 10945, 454, 2745, 10945, 314, 272, 3910, 10945, 15631, 272, 3910, 10945, 15631, 274, 281, 3910, 10945, 11468, 2639, 2745, 10945, 266, 314, 278, 267, 476, 279, 267, 476, 1321, 267, 476, 275, 267, 476, 3393, 267, 476, 3393, 267, 476, 3393, 267, 476, 4097, 2639, 338, 638, 4100, 6910, 263, 21327, 994, 2745, 10945, 7531, 24393, 815, 18358, 342, 3299, 1412, 324, 3299, 1412, 337, 3299, 1412, 337, 3299, 1412, 339, 23300, 2745, 5022, 454, 2745, 5022, 314, 273, 281, 276, 2639, 24393, 314, 273, 281, 276, 316, 815, 11713, 2745, 5022, 454, 2745, 7003, 263, 24393, 2020, 320, 815, 18358, 345, 3299, 1412, 338, 3299, 1412, 324, 3299, 1412, 337, 23300, 321, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 343, 815, 1496, 320, 267, 536, 2639, 2745, 1535, 267, 1535, 314, 271, 3910, 1535, 314, 271, 6012, 272, 6540, 454, 258, 1101, 3268, 2509, 5752, 692, 320, 267, 536, 815, 476, 271, 267, 476, 272, 454, 6112, 536, 2999, 476, 1015, 912, 825, 1820, 536, 454, 825, 513, 267, 536, 815, 536, 267, 513, 17070, 692, 6112, 536, 2999, 476, 1911, 271, 912, 825, 1820, 536, 2676, 825, 513, 267, 536, 815, 536, 267, 513, 17070, 7531, 14310, 815, 476, 16348, 265, 16348, 454, 2745, 1412, 315, 333, 3299, 1412, 763, 1871, 568, 22207, 1267, 0, 5814, 623, 6579, 1477, 5228, 623, 6579, 1104, 12005, 5897, 4067, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 519, 3239, 281, 834, 3418, 333, 815, 703, 9272, 2891, 16521, 519, 10137, 1422, 333, 2046, 1412, 272, 262, 585, 795, 17989, 14826, 2046, 1412, 273, 262, 585, 795, 701, 326, 1422, 333, 2046, 1412, 274, 262, 585, 533, 978, 14826, 8442, 3418, 5897, 3698, 1250, 325, 684, 3799, 267, 536, 8029, 825, 1820, 2891, 2690, 1732, 2298, 5225, 4283, 3312, 7516, 540, 12005, 14744, 825, 8700, 815, 703, 9272, 2891, 11767, 519, 8700, 540, 519, 3239, 281, 834, 17903, 825, 4463, 815, 703, 9272, 2891, 11767, 634, 4463, 540, 519, 3239, 281, 834, 17903, 825, 2012, 4671, 12786, 5334, 8491, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 519, 3239, 547, 581, 10710, 281, 834, 10142, 825, 708, 326, 815, 12005, 269, 13449, 3799, 3418, 825, 708, 326, 815, 708, 326, 269, 637, 1125, 9230, 12296, 267, 4463, 1070, 623, 6579, 269, 15862, 269, 3198, 2316, 3201, 296, 3008, 3418, 825, 2012, 4671, 12786, 5334, 8491, 815, 2012, 4671, 12786, 5334, 8491, 17070, 1477, 825, 708, 326, 4732, 1511, 28442, 4671, 12786, 5334, 8491, 3418, 825, 1820, 2891, 23330, 566, 2672, 764, 525, 21459, 14744, 5897, 604, 562, 2652, 476, 272, 6769, 825, 970, 1549, 815, 834, 269, 329, 17989, 29177, 825, 2012, 815, 2012, 266, 2169, 1549, 1477, 825, 1820, 28442, 3418, 825, 1250, 325, 684, 28442, 267, 970, 1549, 3418, 19197, 562, 2652, 476, 273, 6769, 825, 970, 1549, 815, 834, 269, 329, 701, 326, 29177, 825, 2012, 815, 2012, 266, 2169, 1549, 1477, 825, 1820, 28442, 3418, 825, 1250, 325, 684, 28442, 267, 970, 1549, 3418, 19197, 562, 2652, 476, 274, 6769, 825, 970, 1549, 815, 834, 269, 335, 978, 29177, 825, 2012, 815, 2012, 266, 2169, 1549, 1477, 825, 1820, 28442, 3418, 825, 1250, 325, 684, 28442, 267, 970, 1549, 3418, 12828, 6769, 825, 1820, 2891, 8923, 3442, 1318, 10137, 14744, 0, 5814, 21723, 6503, 607, 23686, 24653, 3698, 4009, 318, 10174, 7272, 944, 263, 7407, 267, 737, 21653, 267, 26058, 267, 14950, 3429, 267, 1239, 318, 8971, 6889, 26822, 310, 290, 2580, 2012, 22561, 8029, 825, 678, 18851, 8110, 13257, 4009, 3597, 7535, 532, 593, 519, 3403, 269, 5897, 825, 3962, 7127, 538, 2387, 16059, 319, 568, 519, 1611, 540, 519, 7222, 2450, 2387, 802, 1125, 319, 5897, 825, 6885, 538, 2387, 7407, 18269, 5897, 825, 1488, 7714, 6769, 8587, 1871, 281, 589, 2387, 307, 16428, 18269, 18771, 581, 835, 540, 519, 1739, 2010, 281, 2387, 327, 2788, 12452, 2387, 321, 15615, 1626, 12452, 2387, 15615, 3953, 12452, 2387, 15615, 5038, 18269, 1477, 1038, 476, 275, 5937, 609, 3337, 2387, 314, 321, 2255, 267, 4463, 267, 8700, 267, 9055, 316, 18269, 1477, 8587, 737, 21653, 281, 589, 1592, 540, 2387, 6493, 319, 602, 814, 3259, 2387, 285, 284, 476, 275, 18269, 1477, 1038, 634, 2450, 540, 519, 23510, 6885, 585, 1142, 10155, 540, 2387, 7407, 18269, 1477, 8587, 26058, 281, 589, 1592, 540, 2387, 6493, 319, 602, 814, 3259, 2387, 285, 284, 476, 275, 18269, 1477, 1038, 634, 1193, 728, 540, 519, 23510, 6885, 585, 1142, 10155, 540, 2387, 7407, 18269, 1477, 8587, 14950, 3429, 281, 589, 2387, 11415, 319, 689, 281, 2387, 257, 306, 28719, 2580, 834, 309, 3201, 2839, 257, 18269, 1477, 1038, 634, 1826, 540, 14950, 3429, 5690, 547, 946, 23228, 8587, 1239, 318, 8971, 281, 1323, 18593, 2387, 11415, 319, 689, 281, 2387, 257, 26822, 310, 290, 2580, 834, 301, 6224, 310, 257, 18269, 4347, 5435, 338, 547, 2387, 257, 26822, 310, 290, 257, 18269, 1477, 1038, 10410, 1518, 519, 1239, 3898, 540, 519, 3403, 543, 3977, 1239, 269, 2060, 519, 5897, 1038, 9949, 3898, 834, 26822, 310, 290, 2580, 519, 1239, 568, 6740, 538, 519, 1931, 540, 281, 5897, 2018, 1496, 321, 2255, 267, 538, 318, 19417, 267, 538, 318, 12296, 267, 538, 15220, 2335, 1564, 4940, 5897, 1038, 17968, 267, 519, 3898, 1223, 581, 834, 301, 6224, 310, 2580, 519, 1239, 4859, 1931, 540, 281, 5897, 2018, 1496, 321, 2255, 267, 538, 15220, 2335, 1564, 267, 538, 318, 19417, 267, 538, 318, 12296, 4940, 1477, 8587, 2012, 281, 589, 2012, 585, 519, 5106, 630, 28436, 1040, 5897, 825, 16849, 6769, 8587, 589, 2387, 307, 16428, 18269, 13201, 519, 1482, 1826, 607, 2387, 7407, 18269, 1477, 825, 5727, 1477, 825, 1871, 815, 23686, 4732, 13645, 263, 7407, 3418, 825, 1202, 327, 1901, 815, 1871, 10947, 318, 27729, 14061, 553, 8217, 14052, 825, 3337, 815, 1496, 802, 1125, 314, 272, 3910, 737, 21653, 314, 273, 3910, 1202, 327, 1901, 314, 274, 3910, 1202, 327, 1901, 314, 274, 14963, 1477, 825, 1948, 1820, 263, 1231, 327, 1901, 267, 834, 13117, 7529, 4499, 2525, 2580, 3337, 3418, 825, 12086, 815, 23686, 269, 2158, 263, 27729, 284, 27729, 267, 546, 6943, 284, 7407, 6155, 6943, 3418, 825, 1948, 2132, 23686, 28460, 6025, 325, 8542, 333, 269, 822, 326, 7272, 944, 263, 7407, 267, 737, 21653, 267, 26058, 267, 14950, 3429, 267, 1239, 318, 8971, 6889, 26822, 310, 290, 2580, 2012, 22561, 17903, 825, 2132, 23686, 28460, 6025, 325, 8542, 333, 26769, 341, 273, 323, 263, 7407, 267, 12086, 267, 26058, 267, 14950, 3429, 284, 25247, 3429, 267, 1239, 318, 8971, 8782, 26822, 310, 290, 3299, 8920, 725, 17342, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 3910, 2012, 284, 4067, 17903, 5897, 24653, 0, 5814, 9074, 272, 318, 13449, 607, 1110, 272, 476, 5897, 13681, 582, 4067, 284, 834, 4338, 268, 272, 29177, 4067, 284, 7116, 272, 269, 13449, 3890, 1038, 1948, 272, 269, 25426, 362, 25426, 362, 30903, 502, 5897, 258, 275, 269, 28098, 13644, 507, 1477, 6112, 263, 12148, 8029, 825, 1820, 2891, 10900, 268, 14744, 825, 1820, 2891, 418, 480, 357, 20069, 10524, 478, 18263, 486, 12571, 358, 417, 496, 494, 5405, 509, 14744, 825, 4971, 284, 6358, 14052, 825, 952, 263, 12252, 2652, 834, 5503, 257, 8029, 1038, 1110, 272, 20481, 22710, 3890, 14030, 567, 1948, 274, 269, 13107, 378, 419, 353, 374, 28793, 25426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 1384, 3499, 7090, 454, 3698, 30775, 3287, 2187, 825, 2132, 630, 343, 268, 273, 264, 1262, 274, 910, 476, 274, 269, 276, 20080, 1341, 476, 279, 269, 271, 692, 14310, 267, 20093, 815, 6378, 318, 15153, 6600, 15635, 267, 476, 271, 269, 271, 267, 476, 275, 269, 271, 267, 562, 284, 273, 994, 2745, 31114, 994, 7884, 1103, 713, 3009, 267, 2387, 325, 12089, 318, 15153, 319, 3217, 519, 1599, 2387, 325, 15635, 12452, 519, 2539, 3970, 2387, 271, 269, 271, 12452, 519, 5580, 3970, 2387, 275, 269, 271, 12452, 543, 519, 1297, 540, 1016, 5793, 10094, 2387, 333, 319, 607, 3403, 269, 898, 7024, 519, 16977, 7533, 2387, 14310, 319, 543, 519, 6059, 5470, 2387, 20482, 27471, 2971, 4347, 9548, 16949, 1210, 10699, 545, 590, 680, 1149, 692, 5194, 1505, 540, 10230, 5610, 568, 547, 1101, 16977, 519, 1599, 1210, 513, 4062, 3772, 9971, 1599, 267, 543, 1287, 11753, 519, 9971, 1599, 269, 901, 568, 1634, 607, 5610, 1210, 12945, 10943, 1149, 780, 288, 12945, 10943, 710, 568, 513, 4062, 3772, 20452, 1599, 267, 1141, 1142, 4062, 568, 513, 12945, 9971, 3989, 593, 513, 1808, 8884, 269, 634, 21335, 616, 6074, 971, 602, 789, 6443, 12347, 693, 519, 8884, 6302, 780, 4131, 781, 5581, 513, 1599, 2387, 325, 15635, 3287, 23375, 543, 11753, 621, 689, 476, 271, 547, 476, 275, 1210, 12945, 10943, 1149, 1384, 3499, 7090, 454, 3698, 30775, 3287, 2187, 825, 2132, 630, 343, 268, 273, 264, 1262, 274, 910, 476, 274, 269, 276, 20080, 1341, 476, 279, 269, 271, 692, 343, 815, 5286, 7456, 1231, 10628, 263, 271, 269, 271, 267, 476, 275, 269, 271, 267, 476, 276, 994, 344, 815, 30775, 3287, 2020, 14369, 815, 10699, 545, 306, 680, 710, 3287, 267, 586, 994, 14310, 267, 20093, 815, 6378, 318, 15153, 6262, 338, 267, 476, 271, 269, 271, 267, 476, 275, 269, 271, 267, 562, 284, 273, 994, 2745, 31114, 994, 7884, 1103, 713, 3009, 267, 649, 1101, 5581, 519, 1599, 2387, 325, 15635, 3287, 23375, 543, 6218, 621, 693, 513, 1305, 540, 2798, 2387, 343, 319, 547, 3489, 2387, 344, 18269, 1284, 1287, 1711, 513, 12945, 10943, 710, 2387, 14369, 319, 1210, 519, 2387, 290, 889, 545, 306, 680, 710, 319, 1599, 689, 519, 2387, 2675, 27251, 269, 5793, 335, 25544, 319, 9074, 269, 7053, 267, 649, 11753, 519, 12945, 10943, 710, 1210, 2387, 325, 12089, 318, 15153, 27471, 2162, 31592, 7756, 2747, 692, 301, 10179, 673, 15285, 568, 513, 1505, 540, 4114, 26305, 519, 12045, 540, 513, 1599, 1210, 10230, 2553, 269, 769, 713, 3184, 267, 649, 786, 2263, 835, 1505, 540, 10230, 15285, 1384, 272, 269, 2878, 23338, 16338, 6396, 4373, 2971, 6239, 16338, 6396, 692, 763, 3844, 3017, 19406, 540, 519, 12045, 540, 513, 1599, 3230, 325, 3287, 14638, 693, 513, 1448, 3230, 343, 2330, 568, 2016, 676, 1384, 16465, 325, 21948, 343, 264, 1422, 13627, 1422, 2765, 346, 325, 3287, 1341, 554, 270, 273, 264, 910, 535, 3287, 910, 554, 270, 273, 20972, 327, 8679, 9681, 3602, 3230, 327, 2330, 568, 513, 1507, 2318, 1297, 780, 4131, 781, 5581, 513, 1599, 2387, 1457, 643, 3287, 23375, 543, 16977, 922, 12045, 693, 513, 1448, 1210, 519, 3844, 3017, 1505, 1384, 3499, 7090, 454, 3698, 8174, 3287, 2187, 825, 2132, 476, 274, 16732, 343, 268, 273, 264, 1262, 273, 910, 476, 274, 269, 276, 692, 3698, 6239, 11795, 6600, 267, 1535, 267, 554, 2187, 825, 2132, 630, 325, 3287, 266, 327, 270, 273, 264, 910, 535, 3287, 3620, 270, 273, 4297, 270, 327, 692, 2745, 18154, 11384, 11795, 263, 1457, 643, 267, 476, 272, 269, 271, 267, 476, 271, 269, 9826, 4917, 7884, 1103, 713, 3009, 267, 2387, 23338, 11795, 319, 3217, 513, 1599, 2387, 325, 12452, 513, 1448, 2387, 343, 12452, 543, 513, 1900, 2450, 2387, 327, 319, 607, 3403, 269, 898, 7024, 519, 16977, 12045, 540, 2387, 325, 319, 693, 2387, 343, 319, 1210, 519, 3844, 3017, 1505, 780, 2162, 10390, 692, 1103, 713, 3184, 267, 649, 8268, 519, 2035, 540, 10230, 5610, 543, 15285, 1210, 5124, 269, 1284, 4121, 875, 547, 16977, 519, 17386, 7533, 540, 513, 1599, 1210, 519, 2387, 325, 12089, 318, 15153, 319, 1599, 543, 12945, 10943, 1149, 267, 543, 875, 547, 16977, 519, 12045, 540, 513, 1599, 1210, 519, 3844, 3017, 1505, 269, 1452, 2553, 616, 4922, 1031, 538, 3621, 7384, 543, 723, 1082, 4052, 3156, 780, 1103, 519, 1985, 3184, 267, 649, 786, 2263, 811, 4359, 3584, 538, 10230, 5610, 543, 15285, 267, 971, 607, 13261, 9076, 1155, 543, 2362, 19195, 2409, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5228, 1085, 27251, 269, 15759, 3433, 1104, 6378, 318, 15153, 454, 5228, 1085, 27251, 269, 5793, 335, 25544, 1104, 10699, 545, 306, 680, 710, 454, 5814, 11885, 607, 5286, 692, 3698, 30775, 3287, 2187, 825, 2132, 630, 343, 268, 273, 264, 1262, 274, 910, 476, 274, 269, 276, 20080, 1341, 476, 279, 269, 271, 692, 3698, 8174, 3287, 2187, 825, 2132, 476, 274, 16732, 343, 268, 273, 264, 1262, 273, 910, 476, 274, 269, 276, 692, 3698, 703, 5416, 267, 536, 2187, 825, 5580, 815, 16733, 272, 270, 273, 12684, 321, 1262, 273, 31618, 272, 270, 275, 31618, 321, 268, 273, 264, 1262, 275, 910, 630, 274, 269, 276, 270, 273, 12684, 321, 1262, 273, 1341, 476, 279, 269, 271, 265, 321, 454, 825, 2539, 815, 16733, 272, 270, 273, 12684, 320, 1262, 273, 31618, 272, 270, 275, 31618, 320, 268, 273, 264, 1262, 275, 910, 630, 274, 269, 276, 270, 273, 12684, 320, 1262, 273, 1341, 476, 279, 269, 271, 265, 320, 454, 825, 2132, 5580, 267, 2539, 692, 3698, 6239, 11795, 6600, 267, 1535, 267, 554, 2187, 825, 2132, 630, 325, 3287, 266, 327, 270, 273, 264, 910, 535, 3287, 3620, 270, 273, 4297, 270, 327, 692, 2745, 17301, 263, 271, 269, 271, 267, 476, 275, 269, 271, 11723, 343, 815, 5286, 7456, 1231, 10628, 263, 271, 269, 271, 267, 476, 275, 269, 271, 267, 476, 276, 994, 344, 815, 30775, 3287, 2020, 14369, 815, 10699, 545, 306, 680, 710, 3287, 267, 586, 994, 14310, 267, 20093, 815, 6378, 318, 15153, 6262, 338, 267, 476, 271, 269, 271, 267, 476, 275, 269, 271, 267, 562, 284, 273, 994, 2745, 31114, 2020, 14310, 267, 20093, 815, 6378, 318, 15153, 6600, 15635, 267, 476, 271, 269, 271, 267, 476, 275, 269, 271, 267, 562, 284, 273, 994, 2745, 31114, 994, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4557, 630, 325, 604, 628, 3446, 264, 2053, 1142, 538, 25777, 269, 3503, 513, 4845, 585, 1142, 2262, 269, 630, 273, 264, 1684, 519, 670, 3421, 1353, 3391, 585, 11271, 476, 279, 268, 1015, 269, 630, 274, 264, 1684, 968, 8794, 7043, 966, 578, 1564, 892, 543, 968, 23804, 12476, 9293, 892, 960, 9212, 269, 630, 275, 264, 19549, 3446, 2979, 281, 1684, 3817, 476, 1626, 268, 866, 543, 968, 20225, 26147, 519, 667, 1824, 1848, 25004, 3446, 2979, 281, 1684, 2985, 476, 1428, 268, 1626, 267, 476, 1240, 268, 866, 543, 968, 294, 5090, 6674, 1848, 630, 276, 264, 1684, 18827, 609, 3204, 29470, 2259, 6656, 269, 0, 13146, 1382, 538, 12105, 7350, 814, 3254, 602, 8241, 705, 10594, 10904, 28953, 856, 540, 4000, 930, 476, 7830, 268, 3583, 267, 1822, 1296, 3516, 29687, 269, 681, 11047, 1380, 523, 1696, 620, 1421, 476, 1001, 272, 1040, 901, 2392, 919, 519, 2663, 20195, 22057, 9194, 676, 5111, 476, 2412, 267, 1822, 1296, 269, 1703, 568, 1100, 1699, 4719, 1382, 602, 4025, 705, 10594, 10904, 693, 1022, 6251, 4266, 547, 1699, 20195, 22057, 4307, 8040, 563, 8256, 18790, 602, 519, 32665, 6694, 4838, 568, 6059, 547, 723, 13175, 1152, 476, 1015, 267, 1822, 1296, 3516, 630, 23613, 1841, 267, 476, 1220, 273, 1070, 713, 1131, 2408, 547, 5815, 602, 1082, 267, 952, 711, 1034, 267, 540, 519, 2472, 540, 602, 4838, 616, 4914, 547, 519, 705, 13092, 9667, 1062, 563, 17457, 1382, 593, 519, 19232, 18070, 2732, 630, 290, 867, 664, 1696, 620, 1421, 476, 1220, 276, 264, 7028, 519, 3932, 602, 1082, 540, 519, 1072, 2152, 6849, 2413, 705, 10594, 10904, 2097, 689, 713, 20014, 883, 513, 3044, 8241, 2732, 1510, 1022, 540, 519, 18060, 532, 12105, 12503, 602, 1141, 3068, 676, 20195, 553, 2103, 936, 519, 2063, 476, 1015, 267, 1822, 1296, 563, 299, 716, 848, 18094, 568, 519, 1480, 2702, 547, 3136, 6721, 519, 1270, 15363, 11476, 547, 7558, 10683, 2472, 269, 10765, 1382, 263, 2005, 534, 267, 13643, 267, 769, 13559, 267, 4210, 9994, 267, 1299, 7338, 267, 476, 1001, 271, 264, 814, 3254, 602, 5111, 476, 5952, 260, 540, 2022, 15730, 705, 10594, 10904, 723, 1100, 5571, 2702, 547, 7558, 10683, 2472, 563, 4407, 2417, 1382, 568, 11562, 5896, 1699, 1382, 883, 1480, 5778, 321, 5735, 543, 6484, 1131, 3100, 547, 1489, 519, 2990, 602, 705, 13092, 1004, 538, 5245, 1058, 581, 3001, 689, 513, 3044, 8241, 2732, 543, 3001, 2509, 540, 1426, 6197, 602, 608, 11079, 267, 10683, 267, 23611, 9274, 267, 9268, 11041, 267, 9268, 14836, 267, 15568, 11950, 543, 1151, 534, 19687, 3536, 563, 290, 867, 664, 267, 700, 1421, 16202, 517, 267, 590, 269, 645, 1421, 1530, 30807, 1014, 267, 589, 1421, 28553, 267, 715, 1421, 14811, 324, 6199, 267, 590, 1421, 20242, 9469, 267, 645, 269, 589, 1421, 744, 685, 11390, 1030, 324, 267, 808, 269, 670, 1421, 1696, 620, 269, 630, 1220, 276, 1040, 17959, 543, 4720, 540, 519, 5375, 2732, 281, 1072, 6286, 585, 519, 476, 2641, 560, 2540, 269, 634, 1977, 4750, 540, 11916, 12594, 267, 476, 10037, 263, 273, 1070, 476, 30130, 268, 7918, 269, 2549, 17502, 12594, 269, 8158, 689, 5291, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 889, 4364, 270, 14444, 4200, 273, 736, 454, 2005, 534, 267, 962, 1421, 13643, 267, 645, 269, 700, 1421, 769, 13559, 267, 595, 269, 808, 1421, 4210, 9994, 267, 667, 269, 631, 1421, 1299, 7338, 267, 631, 269, 717, 269, 630, 1001, 271, 1040, 589, 5001, 9756, 540, 14915, 848, 18094, 26737, 543, 1024, 8040, 269, 645, 10157, 12472, 776, 10334, 267, 476, 1015, 263, 272, 1070, 476, 3607, 269, 12713, 8469, 6239, 269, 8158, 689, 5291, 2517, 788, 29251, 269, 16090, 28482, 16896, 270, 3422, 2767, 13045, 305, 11047, 1380, 523, 267, 631, 1421, 2871, 334, 267, 2473, 1421, 15651, 267, 962, 1421, 700, 2129, 14153, 11839, 267, 918, 269, 661, 1421, 681, 11047, 1380, 523, 267, 590, 1421, 1325, 3691, 577, 1206, 523, 267, 589, 1421, 4787, 582, 974, 267, 700, 1421, 1696, 620, 269, 630, 1001, 272, 1040, 1323, 16971, 8241, 32081, 32672, 1023, 9484, 26147, 5274, 2598, 11825, 1023, 883, 5607, 269, 3163, 267, 476, 11463, 263, 20826, 1070, 476, 11463, 268, 279, 269, 1977, 5948, 585, 519, 21992, 618, 540, 3163, 269, 8222, 281, 1015, 269, 12208, 277, 4882, 7220, 269, 13199, 14056, 278, 454, 23613, 1841, 267, 631, 269, 623, 269, 630, 1220, 273, 1040, 589, 5618, 2689, 540, 519, 15456, 2963, 585, 6022, 2801, 18070, 543, 32665, 7449, 14571, 269, 3864, 4750, 540, 11916, 12594, 267, 476, 6321, 263, 1321, 1070, 476, 1626, 533, 1739, 476, 14695, 273, 269, 7186, 14539, 6828, 269, 8158, 689, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 329, 4318, 329, 322, 333, 269, 8182, 13932, 277, 0, 10345, 302, 17943, 1107, 9612, 5422, 26659, 4985, 538, 513, 18044, 454, 10345, 302, 17943, 1107, 1323, 4985, 912, 23763, 547, 1451, 22048, 17943, 286, 8080, 547, 938, 18248, 256, 1924, 1577, 779, 1205, 513, 2241, 936, 2070, 593, 22048, 17943, 563, 15507, 5422, 26659, 630, 10345, 302, 264, 568, 513, 5650, 540, 930, 2553, 543, 3652, 799, 616, 4294, 676, 1357, 5733, 1562, 267, 22048, 7981, 1235, 547, 11126, 741, 3896, 547, 2408, 538, 3406, 9817, 269, 26659, 568, 2944, 585, 1808, 17161, 799, 616, 1644, 547, 3896, 610, 5816, 610, 2022, 596, 2469, 547, 2328, 269, 3371, 568, 1152, 4367, 543, 1592, 540, 1292, 2798, 799, 616, 7550, 607, 2596, 4170, 540, 9612, 5422, 26659, 585, 513, 1808, 3896, 269, 3371, 1411, 666, 1451, 1215, 547, 8073, 21988, 543, 15020, 4258, 777, 18248, 538, 476, 1789, 3687, 2373, 563, 2690, 1383, 596, 1616, 547, 11126, 707, 3896, 547, 2408, 538, 3406, 9817, 950, 930, 1808, 17161, 616, 22646, 538, 3406, 2599, 607, 5616, 563, 6440, 31999, 23792, 8745, 568, 4400, 569, 30318, 585, 22048, 912, 1103, 22048, 17943, 2073, 3689, 543, 1034, 1271, 9133, 540, 1434, 22048, 568, 267, 6389, 2012, 269, 23792, 2012, 4564, 707, 3896, 269, 1280, 1383, 707, 3896, 568, 3823, 9612, 5422, 26659, 267, 707, 6389, 2012, 1058, 849, 581, 4143, 547, 2165, 22048, 610, 9612, 5422, 26659, 267, 585, 1383, 2012, 1522, 581, 968, 572, 334, 9238, 5608, 968, 572, 984, 809, 5608, 3092, 269, 1306, 707, 2012, 6257, 707, 3896, 9115, 269, 1924, 713, 568, 1360, 2596, 2259, 547, 1118, 811, 7298, 707, 3896, 538, 3406, 9817, 269, 1879, 4896, 19707, 22048, 267, 707, 6389, 2012, 786, 581, 10268, 676, 519, 3406, 9817, 799, 2014, 6808, 543, 32224, 547, 707, 3896, 269, 23792, 4408, 616, 1360, 10464, 1631, 2395, 282, 596, 666, 1205, 1022, 6389, 607, 1970, 607, 1269, 271, 269, 4200, 829, 1032, 693, 2696, 23098, 2593, 454, 6440, 31999, 7170, 22105, 540, 707, 19534, 912, 13553, 3364, 1271, 547, 2015, 538, 22048, 17943, 568, 31999, 7170, 16193, 1547, 1280, 1383, 596, 723, 12349, 6389, 694, 984, 809, 630, 4700, 1260, 269, 3767, 1985, 1271, 2460, 538, 3750, 540, 22048, 568, 2140, 11090, 540, 707, 3896, 269, 23792, 2012, 543, 2140, 11090, 1312, 1058, 581, 4143, 547, 707, 3896, 9115, 269, 1924, 707, 2140, 11090, 585, 707, 6389, 694, 984, 809, 1058, 581, 968, 314, 17138, 316, 9596, 22048, 17943, 22535, 17138, 316, 5608, 968, 314, 17138, 316, 10403, 6732, 22048, 20861, 338, 22535, 17138, 316, 5608, 968, 314, 17138, 316, 15697, 22048, 3883, 22535, 17138, 316, 5608, 3092, 269, 1934, 596, 666, 1294, 519, 2124, 341, 3599, 540, 11090, 269, 1306, 596, 1118, 2124, 341, 3599, 267, 596, 1205, 2318, 2798, 676, 22048, 17943, 1448, 540, 2070, 563, 6440, 12937, 1234, 4582, 3599, 912, 23612, 1445, 538, 22048, 17943, 568, 12474, 1234, 4582, 3599, 269, 6969, 1603, 9115, 267, 20438, 1382, 568, 1271, 269, 27511, 616, 1346, 1913, 799, 616, 4122, 1031, 676, 3755, 547, 1118, 3406, 538, 3406, 9817, 269, 1656, 11938, 540, 1543, 568, 849, 5645, 856, 676, 1210, 1346, 17161, 538, 707, 9708, 610, 1543, 269, 1280, 1383, 707, 5551, 20438, 568, 968, 10345, 302, 17943, 5608, 543, 596, 1616, 547, 11126, 707, 1543, 2687, 713, 17161, 269, 3973, 1247, 1603, 519, 1543, 267, 707, 17161, 1058, 581, 1031, 693, 2547, 476, 275, 547, 476, 279, 2053, 610, 476, 273, 269, 276, 260, 829, 2985, 269, 1403, 596, 946, 811, 982, 713, 267, 3406, 9817, 786, 2015, 596, 28417, 563, 6440, 18378, 25103, 912, 19177, 628, 1445, 538, 22048, 17943, 851, 568, 18378, 25103, 540, 707, 18248, 270, 933, 2125, 924, 269, 8073, 4835, 6402, 547, 707, 9708, 267, 3817, 269, 8347, 547, 3095, 1346, 1913, 799, 596, 723, 1031, 607, 20438, 269, 901, 786, 1118, 707, 20438, 811, 1271, 585, 3406, 9817, 269, 9612, 9817, 786, 4994, 621, 476, 273, 2053, 811, 267, 865, 707, 22048, 851, 1131, 960, 811, 7561, 563, 6440, 24498, 25103, 912, 293, 604, 628, 1448, 547, 2015, 538, 22048, 17943, 568, 24498, 25103, 2433, 24498, 25103, 616, 1346, 6402, 799, 596, 1711, 593, 824, 7270, 15738, 547, 707, 7270, 269, 1280, 1383, 267, 15473, 267, 5816, 6085, 532, 267, 16823, 20171, 3092, 269, 538, 930, 2665, 3095, 9467, 568, 1031, 269, 538, 3095, 9467, 824, 1357, 5733, 1562, 9708, 741, 6402, 593, 707, 3896, 267, 543, 2285, 596, 4960, 547, 2022, 707, 6402, 593, 741, 3896, 563, 2691, 1866, 9708, 6402, 547, 707, 3896, 267, 1118, 2386, 789, 946, 707, 17161, 538, 741, 6402, 269, 13017, 707, 3896, 609, 1346, 267, 2348, 5616, 8525, 24419, 476, 277, 610, 811, 269, 901, 786, 948, 707, 3896, 538, 3478, 1164, 20823, 543, 6808, 563, 6440, 19534, 4427, 3939, 912, 2691, 596, 723, 2813, 707, 3896, 676, 1739, 519, 1657, 2798, 267, 2063, 1448, 568, 3896, 19169, 547, 3406, 9817, 563, 7197, 3406, 2599, 2709, 3896, 19169, 1863, 563, 1607, 729, 2110, 543, 2596, 4367, 540, 22048, 17943, 269, 1403, 713, 1344, 729, 5363, 269, 7490, 1745, 1863, 547, 2671, 543, 6085, 2630, 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 ]
[ 0, 18744, 1310, 835, 21440, 1932, 1082, 454, 298, 17495, 574, 670, 1380, 664, 1924, 558, 549, 779, 634, 4279, 10794, 543, 519, 1473, 639, 9503, 568, 513, 15491, 1433, 269, 1548, 814, 5461, 803, 1034, 568, 519, 1259, 519, 1433, 28420, 519, 1646, 540, 519, 3206, 540, 717, 631, 5204, 539, 1310, 476, 3707, 278, 563, 294, 631, 5204, 539, 729, 606, 14222, 6205, 540, 519, 590, 785, 7332, 13477, 538, 519, 476, 4350, 271, 779, 543, 2038, 476, 2412, 779, 269, 1261, 729, 1459, 609, 808, 4883, 1695, 593, 519, 3942, 538, 700, 1695, 648, 950, 519, 476, 3707, 271, 9031, 22375, 729, 5293, 269, 1261, 3893, 519, 5163, 538, 12797, 540, 9031, 998, 519, 590, 785, 327, 13909, 269, 13536, 267, 5204, 539, 2919, 31681, 827, 519, 6214, 540, 1312, 519, 6837, 543, 7332, 13477, 269, 1261, 10353, 519, 5449, 593, 2272, 540, 922, 4050, 31008, 585, 513, 2178, 8998, 543, 519, 8545, 585, 1018, 646, 1631, 2808, 922, 18497, 16786, 602, 646, 1185, 5128, 2899, 22002, 609, 10178, 520, 673, 1990, 7002, 269, 1261, 11542, 1631, 585, 5021, 2924, 585, 16899, 896, 513, 10690, 10480, 3130, 799, 646, 21787, 9444, 519, 6837, 6862, 519, 7332, 13477, 729, 8348, 547, 598, 1027, 324, 269, 634, 3390, 540, 21621, 13190, 729, 1360, 1454, 538, 519, 2011, 538, 519, 476, 2412, 779, 269, 901, 6941, 519, 4122, 8815, 2262, 532, 540, 519, 700, 1695, 648, 22375, 799, 2829, 602, 968, 1492, 2127, 538, 799, 519, 12356, 616, 6746, 1227, 538, 5354, 607, 538, 519, 3345, 8862, 3480, 543, 8109, 10851, 540, 3127, 1058, 581, 19882, 547, 13822, 4830, 2829, 538, 799, 519, 25499, 4559, 4927, 581, 14628, 543, 19988, 9731, 306, 26191, 7608, 519, 15652, 540, 3127, 609, 606, 1930, 2247, 1498, 269, 2991, 519, 5137, 540, 9031, 267, 646, 5249, 2182, 547, 1711, 513, 2197, 4204, 11685, 5428, 547, 1832, 896, 2638, 519, 18497, 267, 4550, 1922, 3985, 267, 543, 3768, 655, 7095, 21274, 538, 519, 1007, 17710, 563, 1103, 476, 3707, 279, 267, 693, 5204, 539, 779, 11036, 267, 513, 1297, 540, 14761, 689, 782, 936, 4639, 9031, 8678, 3946, 547, 1106, 519, 4658, 779, 9549, 269, 13536, 267, 5204, 539, 4547, 1927, 7986, 14761, 689, 23570, 267, 32065, 17025, 267, 7195, 5255, 6017, 543, 5101, 9031, 547, 1106, 519, 14640, 2290, 5149, 13571, 6322, 693, 519, 11808, 540, 519, 16899, 540, 4639, 9031, 269, 634, 13571, 729, 2663, 24673, 883, 519, 2110, 5030, 9031, 2817, 9549, 269, 769, 476, 4198, 278, 267, 646, 729, 606, 3742, 7649, 538, 519, 5137, 540, 2817, 21220, 9564, 9549, 267, 513, 3376, 2861, 782, 6261, 8140, 28459, 269, 634, 5428, 17388, 585, 519, 2804, 543, 2797, 2924, 540, 519, 1004, 267, 16882, 540, 519, 16899, 1369, 513, 10690, 10480, 3130, 543, 606, 4830, 4914, 3609, 269, 5204, 539, 543, 824, 3401, 540, 519, 715, 4338, 5156, 538, 1689, 14553, 998, 25931, 1797, 563, 306, 26191, 729, 1101, 11221, 547, 519, 590, 785, 327, 13909, 543, 1287, 547, 519, 4639, 9031, 13909, 269, 18738, 519, 10198, 267, 646, 9859, 1010, 9880, 1996, 519, 28974, 21274, 602, 1185, 1831, 2417, 22541, 609, 1379, 8429, 936, 547, 700, 807, 638, 520, 18498, 16679, 269, 5204, 539, 1185, 2907, 15653, 519, 20505, 22375, 5189, 1310, 808, 4883, 1695, 779, 2669, 607, 513, 8954, 633, 2268, 799, 646, 1767, 1131, 2490, 9031, 883, 513, 519, 7095, 1533, 269, 1261, 849, 896, 20040, 519, 12178, 547, 519, 9322, 540, 519, 10480, 3130, 15054, 676, 519, 13250, 540, 1379, 538, 513, 2178, 8998, 563, 763, 15194, 16918, 729, 2705, 14686, 10353, 547, 519, 24084, 2989, 5784, 540, 519, 3401, 540, 519, 1007, 11685, 269, 769, 519, 2038, 1296, 540, 519, 2197, 779, 1686, 267, 519, 10661, 512, 729, 1095, 3660, 936, 676, 519, 29904, 6483, 799, 729, 4166, 8719, 676, 519, 7952, 10362, 5631, 547, 23570, 543, 24505, 269, 5689, 5534, 18259, 729, 9250, 1996, 519, 1007, 11685, 998, 606, 2116, 2017, 656, 626, 3296, 540, 519, 2923, 269, 24285, 899, 717, 631, 5204, 539, 267, 29732, 320, 16679, 267, 19869, 639, 6341, 611, 21926, 752, 345, 2967, 267, 13225, 1662, 8643, 543, 631, 1014, 594, 1111, 1731, 9618, 3291, 514, 941, 29805, 607, 694, 20896, 1235, 267, 911, 6002, 543, 8069, 540, 3127, 267, 15787, 543, 8168, 5742, 563, 763, 18259, 14626, 3660, 609, 1065, 1833, 540, 513, 1034, 3046, 8663, 748, 1826, 269, 29732, 320, 16679, 945, 729, 513, 4759, 540, 519, 4790, 15856, 550, 13909, 7283, 538, 26692, 1034, 540, 519, 942, 1282, 519, 6228, 540, 519, 11156, 1818, 1560, 269, 1261, 729, 593, 513, 4663, 540, 32065, 17025, 538, 476, 3707, 279, 950, 646, 729, 18486, 543, 2366, 547, 795, 5661, 3544, 519, 11662, 269, 769, 932, 1513, 5417, 320, 267, 519, 7128, 17991, 693, 513, 12560, 5870, 540, 519, 10609, 644, 2967, 10609, 573, 3901, 326, 1513, 11318, 267, 2687, 547, 606, 4013, 30453, 267, 1704, 7606, 269, 2423, 17067, 267, 717, 631, 5204, 539, 1185, 1044, 1033, 7134, 535, 597, 1614, 3275, 269, 5637, 29732, 320, 16679, 543, 717, 631, 5204, 539, 6170, 513, 9425, 1713, 851, 540, 741, 2729, 1658, 5109, 538, 795, 5661, 563, 3528, 476, 3192, 274, 267, 513, 25922, 10648, 5204, 539, 536, 1228, 1434, 676, 324, 547, 519, 2856, 540, 513, 8087, 9031, 543, 9307, 1489, 585, 513, 5094, 590, 785, 16852, 2677, 327, 269, 769, 1010, 1913, 267, 968, 2171, 723, 4503, 4126, 547, 1205, 938, 3084, 543, 21621, 2924, 998, 14618, 1848, 5381, 2833, 1185, 4505, 7142, 13225, 1662, 8643, 267, 945, 1185, 5859, 539, 585, 519, 10014, 540, 2667, 600, 538, 9031, 267, 547, 14773, 538, 476, 3192, 271, 602, 646, 729, 536, 27570, 24214, 6202, 547, 513, 8087, 9031, 269, 29732, 320, 16679, 729, 865, 10480, 909, 609, 782, 713, 602, 646, 4956, 711, 547, 581, 12617, 538, 519, 2197, 563, 763, 10661, 779, 4507, 3136, 547, 2490, 1082, 538, 4130, 16899, 883, 3021, 520, 1235, 269, 10609, 1515, 645, 5060, 3057, 686, 543, 2311, 4954, 961, 1695, 631, 1263, 531, 941, 3257, 6214, 538, 519, 2796, 540, 513, 10480, 3130, 11489, 519, 3586, 24677, 540, 21621, 13190, 5916, 609, 20422, 4108, 4238, 7142, 873, 883, 4742, 3021, 520, 1235, 269, 645, 1872, 16210, 945, 7283, 12311, 4765, 547, 519, 2856, 540, 10480, 3130, 543, 25931, 6214, 11489, 519, 1439, 729, 7166, 896, 519, 9753, 540, 631, 2313, 541, 571, 325, 269, 1855, 13249, 10071, 7142, 1082, 7195, 5255, 529, 547, 9959, 602, 519, 14618, 568, 1100, 811, 982, 513, 2911, 6300, 1247, 972, 568, 1100, 5313, 9872, 1519, 519, 10470, 547, 3247, 7142, 14897, 1734, 543, 6146, 902, 540, 7195, 5255, 328, 6107, 269, 634, 1259, 519, 3354, 8041, 723, 1219, 1221, 519, 6392, 540, 519, 14662, 1282, 519, 5873, 902, 538, 2372, 24297, 1131, 2417, 7794, 519, 32238, 538, 7195, 5255, 6017, 563, 763, 5856, 568, 513, 5449, 4081, 543, 513, 2797, 25566, 269, 0, 2026, 5892, 5941, 593, 645, 1080, 1299, 26629, 806, 267, 519, 5769, 540, 12085, 630, 31166, 264, 4016, 547, 513, 2104, 1158, 1141, 782, 2010, 540, 5907, 3457, 3095, 547, 1142, 824, 3842, 519, 5769, 269, 4653, 267, 621, 779, 6059, 602, 972, 616, 5176, 476, 1015, 5479, 3457, 538, 519, 1158, 4448, 547, 519, 5769, 267, 513, 4137, 4397, 547, 17784, 547, 5176, 476, 1789, 5479, 676, 476, 1708, 271, 563, 2414, 581, 2386, 267, 519, 5769, 540, 12085, 630, 31166, 264, 568, 6385, 13321, 2472, 602, 723, 12926, 1044, 19040, 607, 1796, 17038, 821, 3457, 883, 5100, 2472, 799, 616, 3015, 3842, 519, 5769, 610, 5827, 540, 15025, 609, 2147, 3457, 593, 513, 2199, 3060, 563, 1103, 1931, 547, 6707, 7500, 593, 519, 3060, 267, 1142, 3926, 3340, 513, 2189, 7114, 1297, 799, 568, 4122, 5219, 547, 607, 513, 26914, 2232, 269, 1717, 267, 16565, 543, 4509, 513, 6538, 540, 26914, 9607, 666, 581, 1360, 524, 13246, 727, 8197, 269, 18641, 267, 2311, 17745, 779, 11083, 2190, 300, 3722, 1920, 2488, 513, 840, 3491, 13559, 4364, 26914, 2232, 3330, 540, 513, 17626, 661, 7968, 15375, 3926, 1107, 1510, 10438, 1022, 3593, 3965, 1858, 563, 2108, 3528, 9001, 11083, 2190, 300, 3722, 3457, 609, 11451, 2189, 8800, 9607, 11251, 593, 1532, 13635, 267, 9858, 1100, 3476, 991, 547, 10110, 519, 2359, 3790, 543, 942, 2404, 609, 16565, 267, 1210, 543, 5883, 606, 28286, 618, 540, 26914, 27582, 21397, 9607, 2223, 606, 2311, 17745, 4702, 1065, 5143, 645, 1080, 1299, 26629, 806, 563, 10527, 11083, 2190, 300, 3722, 3126, 2306, 621, 12863, 267, 5488, 543, 1447, 7199, 547, 1020, 5769, 268, 8588, 2472, 269, 1306, 621, 568, 1759, 593, 2311, 17745, 779, 8810, 543, 20979, 17626, 661, 7968, 15375, 2029, 267, 519, 11083, 2190, 300, 3722, 3126, 540, 2472, 1683, 519, 1482, 1164, 2157, 540, 16608, 543, 1239, 12802, 602, 8030, 2503, 689, 721, 3034, 2005, 1058, 849, 581, 7074, 602, 519, 11083, 2190, 300, 3722, 3126, 15387, 31632, 2914, 1679, 12588, 543, 1970, 1379, 4616, 269, 12791, 267, 8030, 1810, 1406, 723, 547, 15093, 2934, 610, 2773, 950, 4946, 26914, 2232, 10342, 547, 513, 1374, 563, 21206, 1883, 2934, 1331, 513, 2189, 840, 3491, 13559, 4364, 26914, 27582, 21397, 2232, 267, 8628, 543, 31181, 661, 7968, 15375, 2328, 4027, 267, 519, 2702, 547, 4558, 543, 2149, 4105, 1062, 1239, 267, 606, 3003, 661, 7968, 15375, 5044, 630, 19989, 585, 946, 1070, 2189, 17626, 2338, 267, 840, 3491, 13559, 4364, 3020, 9167, 296, 268, 5038, 9607, 543, 513, 840, 3491, 13559, 4364, 267, 1224, 26209, 476, 12553, 19229, 17626, 1297, 563, 19950, 539, 538, 1565, 811, 286, 2142, 2386, 547, 2638, 856, 938, 4013, 11083, 2190, 300, 3722, 630, 338, 7685, 264, 1587, 2985, 1934, 269, 0, 763, 16857, 4655, 538, 8050, 814, 1185, 1114, 23233, 936, 942, 269, 4438, 519, 1101, 1079, 5756, 540, 9111, 267, 519, 18483, 540, 661, 14011, 4092, 519, 1292, 17795, 538, 519, 5178, 4302, 13474, 269, 1717, 267, 609, 519, 12625, 540, 519, 1007, 26992, 267, 519, 13253, 7930, 17146, 689, 519, 5178, 4302, 13474, 547, 18280, 8205, 269, 2755, 519, 5821, 540, 519, 6963, 540, 519, 5178, 4302, 6465, 1393, 630, 1492, 865, 10777, 594, 8663, 4958, 343, 324, 1544, 264, 538, 476, 1220, 276, 8694, 909, 25412, 519, 31544, 2619, 538, 519, 623, 301, 309, 267, 519, 13170, 538, 18280, 8205, 540, 519, 1007, 6465, 1393, 543, 519, 15194, 540, 519, 25799, 7040, 2185, 1296, 2663, 15427, 519, 2490, 540, 519, 1292, 2797, 11051, 538, 18280, 8205, 2509, 811, 9097, 7158, 269, 769, 519, 2887, 540, 476, 1001, 273, 267, 835, 1032, 1310, 519, 27072, 540, 519, 22681, 1895, 661, 14011, 267, 3203, 584, 16549, 8118, 519, 4155, 547, 16285, 538, 18280, 8205, 267, 513, 1184, 602, 19411, 730, 538, 519, 796, 10561, 17083, 540, 7115, 2947, 1296, 2663, 563, 763, 11411, 540, 519, 16857, 4655, 593, 5178, 4302, 543, 18280, 534, 1857, 6644, 568, 1114, 269, 1306, 594, 786, 1397, 2429, 519, 1739, 9382, 267, 519, 1292, 10250, 540, 519, 4655, 538, 5178, 4302, 1857, 6644, 568, 16563, 269, 769, 18280, 8205, 621, 568, 6498, 269, 5178, 4302, 17037, 616, 1447, 9674, 538, 519, 1259, 789, 13998, 1935, 610, 13498, 519, 7115, 7521, 269, 1717, 267, 513, 851, 540, 922, 2551, 1281, 711, 3717, 610, 1281, 711, 1616, 547, 2911, 827, 713, 3390, 269, 769, 18280, 8205, 519, 8545, 4386, 1447, 267, 855, 519, 2797, 15523, 593, 519, 2243, 540, 7115, 616, 4514, 269, 2913, 779, 1294, 519, 2079, 609, 519, 1239, 540, 519, 10507, 1228, 31319, 21691, 543, 594, 5746, 303, 5619, 593, 968, 303, 6897, 1436, 543, 3213, 1410, 14571, 538, 8050, 9731, 5575, 267, 607, 1522, 581, 4397, 267, 1489, 585, 7115, 538, 18280, 8205, 568, 2362, 982, 538, 519, 5178, 4302, 13474, 269, 2755, 476, 1724, 260, 540, 519, 5178, 13196, 17551, 2933, 968, 307, 582, 958, 538, 3870, 892, 540, 7115, 267, 602, 4137, 14380, 547, 476, 4029, 260, 538, 18280, 8205, 269, 634, 1297, 540, 968, 785, 27075, 892, 593, 713, 3390, 568, 10169, 2362, 1851, 519, 5178, 13196, 630, 1428, 8472, 982, 1851, 519, 18280, 753, 630, 1556, 22103, 769, 1840, 267, 1851, 519, 5449, 519, 6871, 540, 1346, 945, 968, 2181, 2536, 711, 547, 2626, 892, 547, 713, 2243, 568, 849, 2362, 630, 1015, 260, 540, 519, 5178, 13196, 267, 3379, 547, 476, 276, 260, 540, 519, 18280, 753, 1040, 901, 949, 5815, 602, 513, 851 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4889, 18356, 281, 1879, 9256, 1614, 610, 811, 2609, 267, 4657, 519, 1931, 3085, 1405, 1860, 519, 3803, 1587, 269, 898, 781, 899, 25786, 24324, 538, 12980, 7215, 910, 1100, 2339, 875, 596, 1895, 873, 267, 519, 2626, 13978, 519, 1482, 563, 274, 269, 14740, 27100, 281, 1703, 6818, 606, 1412, 2863, 13224, 762, 262, 4759, 538, 519, 1305, 630, 21865, 20922, 607, 552, 264, 602, 3762, 3025, 3116, 24240, 950, 19610, 3842, 519, 5106, 269, 9877, 320, 899, 513, 9059, 18389, 602, 2306, 3388, 2132, 1394, 547, 3339, 563, 275, 269, 769, 2091, 27100, 281, 5272, 3693, 19299, 513, 7649, 945, 3768, 3996, 8726, 1198, 519, 3312, 1185, 896, 519, 2016, 5106, 269, 1403, 7311, 519, 3355, 2962, 2164, 538, 3001, 4464, 2947, 3268, 267, 1287, 11836, 4229, 609, 922, 11201, 1131, 3142, 596, 1318, 1394, 1753, 1107, 4642, 3268, 3144, 2949, 780, 2080, 781, 513, 1187, 1483, 3734, 1383, 281, 6333, 519, 1305, 9967, 540, 707, 2451, 543, 1318, 3946, 267, 2059, 609, 519, 7872, 540, 804, 6260, 873, 1927, 269, 3776, 5106, 286, 2608, 16435, 777, 265, 8786, 267, 594, 1611, 2965, 1793, 6260, 707, 27374, 1996, 1142, 824, 269, 9462, 496, 354, 692, 1607, 14764, 3029, 513, 1895, 1317, 1384, 272, 269, 6215, 6260, 3946, 1927, 2164, 538, 1862, 1134, 267, 1869, 2348, 1079, 3946, 269, 5637, 616, 851, 540, 938, 3989, 1305, 269, 6744, 2336, 273, 269, 4210, 15781, 707, 7916, 1472, 1281, 4986, 547, 7369, 519, 6364, 540, 804, 6260, 269, 1924, 9811, 267, 621, 781, 1997, 894, 1932, 563, 274, 269, 2274, 3058, 707, 3946, 7329, 548, 12523, 607, 3257, 4986, 1107, 4509, 938, 4358, 2990, 269, 9747, 267, 1100, 3350, 11224, 3961, 3693, 563, 275, 269, 14936, 267, 1310, 9020, 16484, 28551, 2576, 609, 513, 10978, 804, 777, 267, 530, 24513, 1782, 707, 11263, 14350, 6411, 607, 606, 5140, 11201, 5106, 269, 30850, 267, 4896, 11287, 1131, 3858, 602, 707, 3946, 2408, 4712, 585, 1776, 5180, 540, 7874, 5872, 780, 4517, 21350, 10042, 256, 1284, 4312, 4362, 513, 6263, 4062, 540, 7493, 7223, 15720, 9624, 4948, 1272, 256, 5901, 3695, 267, 1250, 8049, 2828, 267, 543, 4166, 2614, 267, 596, 3513, 1265, 3054, 11303, 676, 4190, 15821, 3889, 10876, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 6128, 267, 811, 4481, 7223, 267, 7493, 7223, 610, 2413, 7223, 568, 519, 1353, 540, 15821, 3889, 269, 10789, 545, 3889, 1331, 2516, 267, 14034, 267, 4610, 267, 13838, 267, 6152, 5624, 267, 22092, 1182, 267, 543, 620, 613, 30944, 936, 513, 2361, 269, 634, 2165, 7493, 7223, 729, 22579, 538, 519, 2038, 476, 736, 628, 2540, 547, 10646, 621, 689, 4587, 2694, 540, 7223, 267, 543, 811, 4481, 689, 10026, 7223, 267, 519, 946, 540, 4632, 547, 2099, 2338, 538, 19106, 543, 7744, 269, 3465, 1836, 267, 519, 2165, 834, 629, 5724, 7223, 257, 568, 3335, 1031, 585, 20803, 6030, 538, 6310, 2069, 267, 543, 568, 10355, 1031, 538, 4359, 6128, 563, 31580, 545, 3889, 267, 609, 741, 2404, 4630, 14521, 3359, 267, 1106, 6310, 6688, 269, 21145, 3069, 568, 513, 6101, 1143, 602, 2636, 513, 19618, 1259, 585, 11589, 3601, 543, 25481, 602, 616, 2147, 585, 1585, 3889, 563, 26536, 531, 7223, 568, 513, 1644, 1641, 602, 2090, 2010, 540, 15821, 3889, 607, 2582, 3615, 269, 1280, 1383, 267, 519, 2497, 540, 2516, 568, 513, 2582, 1843, 538, 796, 643, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 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, 272, 281, 4985, 547, 27155, 338, 692, 21691, 8662, 338, 616, 4909, 2679, 7161, 538, 519, 2361, 540, 7223, 269, 1358, 616, 7215, 9967, 540, 4632, 630, 528, 967, 9057, 7149, 264, 543, 14170, 267, 5473, 4238, 540, 1840, 267, 12408, 267, 8691, 267, 543, 1875, 24308, 8870, 23055, 540, 4632, 269, 769, 713, 3184, 267, 649, 786, 2263, 21335, 538, 3829, 267, 1519, 741, 3601, 267, 2010, 267, 543, 3156, 780, 4089, 476, 272, 269, 272, 281, 20223, 27155, 338, 692, 2171, 2253, 938, 1353, 540, 21335, 676, 10747, 873, 18005, 269, 589, 9971, 538, 835, 4756, 1535, 568, 3989, 607, 5205, 1384, 335, 3287, 264, 815, 513, 18386, 333, 2608, 1535, 18898, 1341, 513, 315, 3709, 333, 268, 272, 348, 2608, 1535, 3867, 333, 268, 272, 348, 1341, 3267, 1341, 513, 18386, 273, 2608, 1535, 317, 273, 1341, 513, 18386, 272, 2608, 1535, 1341, 513, 18386, 271, 692, 3602, 562, 568, 513, 1875, 24308, 8870, 267, 513, 18386, 333, 267, 513, 315, 3709, 333, 268, 272, 9574, 10371, 1421, 513, 18386, 273, 267, 513, 18386, 272, 267, 513, 18386, 271, 616, 21635, 267, 543, 513, 18386, 333, 9881, 510, 476, 271, 269, 634, 5207, 1379, 540, 1535, 602, 5526, 538, 519, 4082, 568, 1572, 519, 4110, 540, 519, 9971, 269, 3962, 2165, 540, 519, 1106, 513, 18386, 328, 1422, 265, 1535, 317, 328, 568, 5219, 547, 607, 513, 1395, 6706, 267, 1247, 519, 3003, 4082, 568, 1634, 607, 513, 9971, 780, 7078, 476, 272, 269, 272, 269, 272, 281, 10576, 519, 4110, 540, 519, 1739, 9971, 1384, 335, 3287, 264, 815, 476, 276, 910, 476, 273, 343, 317, 274, 1341, 476, 278, 343, 317, 277, 692, 763, 4110, 540, 519, 2016, 9971, 568, 3670, 2094, 519, 2165, 609, 519, 5207, 1379, 568, 476, 278, 343, 317, 277, 780, 4089, 476, 272, 269, 273, 281, 9537, 540, 27155, 338, 692, 2467, 616, 1896, 2027, 2010, 540, 21335, 267, 799, 616, 9286, 1759, 593, 741, 5232, 543, 1297, 540, 2474, 269, 1452, 1331, 3586, 21335, 267, 5276, 21335, 267, 13392, 21335, 267, 12945, 21335, 267, 543, 865, 8521, 269, 1284, 1865, 1142, 1826, 2630, 1384, 272, 269, 19693, 27155, 338, 281, 1452, 616, 21335, 609, 1152, 835, 2165, 2348, 1100, 4632, 3238, 282, 789, 723, 513, 4110, 540, 4642, 269, 1280, 1383, 267, 476, 276, 267, 910, 280, 267, 543, 476, 273, 270, 274, 616, 782, 3586, 21335, 563, 273, 269, 12430, 27155, 338, 281, 1452, 21335, 2874, 540, 4010, 1079, 2474, 267, 1141, 835, 2165, 814, 513, 4110, 540, 835, 269, 6201, 1331, 476, 274, 343, 910, 476, 273, 267, 586, 1341, 476, 278, 267, 543, 910, 276, 339, 563, 274, 269, 28065, 27155, 338, 281, 2060, 1614, 2474, 267, 13392, 21335, 4183, 513, 3056, 11664, 267, 4553, 676, 519, 4009, 540, 513, 4756, 543, 513, 3586, 269, 5871, 1806, 616, 1535, 317, 273, 910, 476, 275, 267, 476, 273, 344, 317, 273, 1341, 476, 274, 344, 910, 476, 276, 267, 543, 476, 274, 345, 317, 273, 910, 476, 272, 563, 275, 269, 10699, 545, 27155, 338, 281, 3117, 12371, 540, 2185, 2474, 267, 12945, 21335, 2270, 513, 3791, 24266, 4756, 2165, 269, 2382, 1734, 1331, 476, 273, 343, 317, 274, 1341, 476, 274, 343, 317, 273, 910, 476, 275, 343, 1341, 476, 272, 267, 512, 317, 274, 910, 476, 273, 339, 317, 273, 1341, 476, 276, 339, 910, 476, 274, 267, 543, 910, 275, 340, 317, 274, 1341, 579, 317, 273, 910, 476, 278, 340, 1341, 476, 279, 780, 1103, 7766, 11271, 267, 649, 5490, 883, 811, 1950, 3584, 971, 607, 28809, 21335, 267, 4466, 21325, 540, 21335, 267, 24275, 21335, 267, 543, 7311, 13053, 781, 6396, 547, 16977, 3435, 547, 9971, 4834, 269, 3414, 2502, 5717, 543, 3946, 6823, 2238, 267, 596, 3513, 2744, 17117, 936, 891, 1898, 6310, 1983, 543, 1174, 741, 4644, 538, 1585, 4610, 899, 6323, 267, 4702, 267, 2780, 5752, 267, 9297, 267, 543, 1239, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11386, 3755, 3357, 547, 713, 2985, 2221, 676, 1210, 891, 17161, 10778, 20181, 652, 1455, 3815, 540, 476, 4366, 543, 476, 7367, 267, 27764, 268, 10019, 4194, 4632, 267, 5276, 4834, 1062, 27764, 476, 10695, 267, 3308, 2596, 2979, 1966, 24626, 3732, 267, 585, 1362, 24163, 266, 26329, 4574, 267, 476, 278, 628, 3446, 1863, 9981, 3211, 563, 16032, 1863, 7223, 3301, 585, 1453, 267, 8918, 547, 6404, 6824, 267, 6061, 21800, 4834, 538, 1319, 18350, 609, 1007, 2023, 781, 1505, 267, 840, 7223, 609, 533, 11170, 9579, 4976, 267, 7792, 2979, 10026, 267, 3211, 593, 1806, 540, 875, 547, 1265, 519, 11667, 563, 22706, 476, 1015, 7223, 267, 14921, 543, 12270, 538, 5595, 5515, 5751, 267, 31872, 273, 13004, 543, 7005, 267, 2257, 1863, 593, 1899, 267, 5072, 540, 513, 476, 274, 6113, 1931, 9971, 267, 10084, 589, 696, 3363, 2243, 563, 15239, 2000, 10719, 4834, 267, 7792, 11882, 717, 3633, 1449, 3341, 3211, 267, 7787, 4834, 9498, 267, 1455, 2188, 540, 476, 2764, 543, 476, 3953, 267, 14805, 566, 3009, 28162, 563, 24169, 7787, 4834, 3301, 267, 6061, 13392, 3830, 17596, 5187, 2305, 267, 544, 7251, 537, 6549, 1396, 339, 749, 23519, 4267, 563, 288, 1377, 16526, 13004, 267, 27764, 476, 10695, 4194, 13392, 267, 834, 5793, 31673, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 10789, 1315, 16504, 1315, 27155, 338, 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, 12861, 513, 6564, 666, 581, 513, 1187, 543, 14785, 1788, 602, 2636, 596, 547, 7148, 883, 707, 5876, 543, 7499, 1983, 269, 6787, 596, 2811, 1007, 547, 6564, 6194, 610, 723, 930, 1995, 896, 707, 12966, 267, 713, 3102, 3391, 786, 3802, 596, 998, 519, 1184, 540, 2870, 513, 4190, 267, 835, 6361, 8584, 29292, 6564, 689, 1376, 547, 9096, 780, 1262, 29605, 10261, 539, 16001, 265, 22110, 630, 335, 8432, 1067, 10036, 568, 5227, 994, 265, 31493, 696, 532, 2645, 630, 7945, 607, 13549, 9224, 726, 4536, 267, 5911, 2759, 1562, 267, 543, 1585, 9380, 532, 31009, 543, 19059, 994, 265, 744, 1597, 610, 3002, 2707, 585, 11256, 519, 10036, 454, 265, 3600, 23359, 19267, 543, 26814, 454, 265, 13068, 13021, 656, 610, 642, 7568, 880, 454, 265, 18514, 630, 1721, 6186, 1155, 267, 952, 2877, 994, 265, 853, 4428, 532, 1570, 630, 7945, 607, 4874, 6856, 6775, 15640, 994, 265, 10261, 548, 543, 8142, 630, 604, 1818, 513, 12308, 1560, 994, 265, 23694, 610, 10959, 585, 519, 6564, 781, 7802, 454, 265, 28577, 543, 824, 2326, 585, 519, 6564, 781, 9660, 692, 1262, 3721, 476, 272, 281, 4643, 2659, 667, 3326, 12533, 6524, 596, 2253, 13167, 707, 6564, 267, 1491, 930, 942, 547, 1544, 856, 922, 1374, 269, 6333, 2188, 971, 607, 519, 6564, 781, 2450, 267, 2949, 5920, 267, 543, 1022, 2027, 2934, 596, 1616, 547, 1331, 269, 4024, 707, 6564, 723, 1847, 762, 17873, 286, 4024, 621, 581, 21039, 538, 513, 1808, 28459, 610, 6249, 286, 4787, 564, 4221, 856, 513, 11315, 8908, 540, 707, 6564, 666, 948, 596, 14650, 707, 2093, 543, 1118, 1022, 2556, 11941, 1354, 596, 1376, 2324, 609, 519, 10036, 780, 1262, 7659, 9669, 543, 13832, 16001, 265, 5901, 538, 2247, 519, 7687, 540, 519, 2326, 596, 616, 1210, 269, 1280, 1383, 267, 952, 596, 616, 1210, 12249, 10036, 267, 621, 949, 581, 2352, 547, 1711, 6094, 267, 10347, 2934, 1510, 873, 8840, 1282, 519, 11256, 1184, 563, 265, 5269, 2386, 547, 2015, 519, 4336, 540, 707, 6564, 950, 4058, 3877, 899, 11132, 2934, 543, 7802, 269, 9540, 3877, 949, 1831, 4503, 610, 25302, 593, 513, 3677, 6564, 267, 1247, 1804, 2934, 949, 8267, 332, 513, 4130, 835, 780, 1262, 3721, 476, 273, 281, 8073, 606, 14022, 1155, 630, 18893, 1308, 264, 12533, 2304, 6186, 1155, 568, 513, 5943, 1500, 540, 5911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 6507, 1296, 2025, 607, 540, 713, 4266, 563, 9223, 540, 519, 4303, 454, 3963, 798, 649, 2268, 1554, 26319, 538, 3108, 888, 763, 606, 857, 757, 5258, 519, 1554, 538, 3368, 267, 10199, 7222, 547, 3141, 23438, 543, 23863, 267, 609, 476, 1321, 3108, 540, 21765, 543, 476, 1321, 3108, 540, 3781, 269, 634, 3259, 540, 606, 5662, 9867, 267, 4470, 593, 519, 942, 540, 1032, 267, 2394, 7344, 23234, 941, 11827, 538, 519, 3735, 5664, 12698, 563, 18770, 823, 540, 519, 4303, 454, 288, 3364, 2944, 693, 513, 4636, 942, 1058, 581, 9833, 607, 711, 2944, 563, 12709, 670, 842, 540, 519, 4303, 454, 310, 718, 17549, 602, 814, 1044, 13556, 936, 666, 581, 2352, 547, 21352, 543, 4894, 269, 8347, 18176, 519, 1957, 609, 513, 986, 345, 528, 17180, 543, 30574, 519, 8464, 609, 5277, 3774, 17549, 1121, 1478, 630, 19989, 693, 8800, 8637, 1916, 17504, 540, 519, 4303, 454, 763, 1486, 21310, 656, 851, 540, 513, 524, 2532, 267, 799, 568, 2356, 538, 519, 1647, 269, 4746, 519, 851, 540, 513, 6928, 779, 26083, 610, 5377, 799, 568, 3376, 652, 543, 1034, 5176, 6366, 563, 303, 340, 14794, 540, 519, 4303, 454, 1692, 1223, 519, 4484, 717, 9983, 513, 16027, 888, 3528, 4657, 28113, 883, 23161, 563, 268, 6276, 654, 3430, 630, 514, 1203, 528, 264, 1107, 476, 15876, 277, 454, 268, 7917, 661, 269, 10557, 630, 18183, 539, 4733, 2489, 264, 1107, 476, 5197, 278, 454, 268, 28089, 19395, 26766, 630, 10461, 264, 1107, 476, 5197, 280, 454, 268, 6754, 595, 2946, 345, 22828, 630, 335, 664, 614, 264, 1107, 476, 8146, 280, 454, 268, 14639, 853, 777, 13987, 630, 13563, 957, 816, 3738, 1107, 476, 4572, 274, 454, 268, 623, 1846, 344, 18007, 4133, 630, 716, 816, 264, 1107, 476, 4350, 275, 454, 268, 3967, 529, 808, 641, 4802, 630, 338, 5424, 3738, 1107, 476, 3707, 274, 454, 268, 667, 14709, 3487, 517, 630, 338, 5424, 264, 1107, 476, 3707, 277, 454, 268, 14529, 3121, 1546, 523, 630, 3832, 325, 264, 1107, 476, 3707, 278, 454, 268, 2677, 328, 23172, 1794, 267, 12789, 269, 630, 18503, 267, 5067, 540, 12359, 4068, 11831, 543, 2677, 328, 23172, 1794, 264, 1107, 476, 4198, 274, 454, 268, 667, 16699, 632, 4223, 974, 334, 630, 716, 816, 264, 1107, 476, 3192, 274, 454, 268, 12624, 9478, 540, 519, 29042, 9839, 630, 4692, 6598, 3909, 11078, 3738, 1107, 476, 5002, 273, 454, 268, 5261, 744, 269, 19958, 630, 306, 1575, 3153, 7040, 10456, 264, 1107, 476, 2735, 271, 454, 268, 6276, 667, 545, 4486, 630, 23116, 9706, 334, 564, 264, 1107, 476, 1960, 278, 454, 268, 14161, 3131, 9469, 630, 16443, 6509, 264, 1107, 476, 1960, 279, 454, 268, 14355, 17292, 9116, 630, 338, 5424, 264, 1107, 476, 1220, 277, 454, 268, 667, 10154, 1684, 615, 1399, 630, 821, 540, 519, 15713, 2818, 540, 519, 7574, 1895, 634, 631, 24252, 1299, 634, 14466, 553, 264, 1107, 476, 1220, 278, 454, 268, 30554, 22828, 623, 956, 2867, 974, 630, 716, 816, 264, 1107, 476, 1220, 279, 454, 268, 12254, 634, 2494, 892, 4053, 658, 892, 630, 19668, 4252, 6345, 264, 1107, 476, 1001, 274, 454, 268, 570, 514, 666, 31601, 1700, 476, 9264, 276, 454, 268, 25817, 8176, 12070, 7719, 10645, 6602, 540, 19778, 1700, 476, 7277, 271, 454, 268, 3689, 9466, 5288, 269, 12370, 4672, 19735, 3014, 3576, 1747, 1700, 476, 6245, 279, 454, 268, 4521, 6659, 14057, 540, 772, 2529, 269, 7022, 547, 1269, 1911, 267, 1822, 1700, 476, 3707, 280, 454, 268, 772, 2529, 269, 8549, 18058, 8189, 630, 293, 6717, 264, 17101, 1101, 2230, 9682, 10618, 3095, 1063, 519, 2136, 2276, 543, 2342, 593, 606, 8097, 4493, 269, 1700, 476, 3422, 272, 454, 268, 634, 2063, 2025, 16654, 267, 4436, 13402, 5292, 802, 342, 10402, 2142, 564, 548, 2451, 519, 2030, 538, 2506, 6577, 267, 5125, 1700, 476, 3192, 279, 454, 268, 13562, 2246, 6890, 3279, 20607, 541, 2968, 519, 1101, 8225, 4807, 547, 581, 5697, 585, 513, 2230, 5692, 1700, 476, 1960, 271, 454, 268, 26062, 21144, 5232, 2630, 4642, 674, 538, 19134, 5112, 267, 21086, 1700, 476, 9965, 277, 454, 268, 18323, 12628, 476, 2004, 5232, 538, 623, 2176, 17625, 267, 1715, 24900, 1700, 476, 8687, 271, 454, 268, 634, 2837, 9782, 476, 6246, 5232, 538, 476, 1428, 3764, 693, 10783, 2667, 514, 756, 334, 710, 267, 2282, 32147, 516, 267, 23497, 269, 1700, 476, 6245, 273, 454, 268, 8235, 661, 4471, 8389, 2763, 689, 4871, 547, 4871, 585, 519, 1101, 942, 538, 2413, 1686, 1700, 476, 3192, 278, 454, 268, 16176, 8593, 538, 24543, 267, 8419, 1700, 476, 3192, 278, 454, 268, 589, 2594, 268, 869, 3046, 10309, 2542, 540, 476, 3066, 269, 1839, 6279, 7018, 1813, 547, 513, 4639, 11076, 7088, 1700, 476, 2735, 279, 454, 268, 18323, 1019, 5529, 547, 910, 3607, 5232, 674, 267, 1715, 18724, 14657, 267, 18518, 1700, 476, 1960, 275, 0, 24336, 11082, 1101, 1166, 18088, 547, 519, 2136, 2276, 538, 519, 476, 6977, 271, 338, 267, 11235, 547, 9101, 519, 2804, 14784, 538, 3624, 543, 547, 2119, 741, 9939, 693, 519, 4993, 4154, 19060, 269, 1879, 519, 7108, 27538, 8694, 267, 4457, 4892, 941, 2808, 10464, 4074, 563, 8005, 941, 519, 1101, 4457, 11082, 538, 3013, 888, 24336, 31787, 476, 9965, 276, 268, 281, 5851, 454, 763, 1101, 1614, 4457, 11082, 1107, 1306, 3107, 267, 21926, 684, 267, 543, 6452, 684, 689, 2871, 836, 345, 17924, 8452, 538, 5842, 12770, 538, 476, 9965, 276, 607, 12284, 5443, 1107, 4358, 519, 1686, 540, 4457, 11776, 547, 519, 2136, 2276, 563, 3963, 1705, 4457, 11082, 2097, 547, 3013, 538, 519, 476, 5002, 271, 338, 888, 4415, 519, 4154, 19060, 267, 519, 4457, 941, 19430, 547, 17908, 824, 7262, 1533, 2200, 267, 3246, 2472, 540, 946, 547, 519, 1977, 2486, 269, 2560, 769, 3932, 267, 1614, 4128, 1946, 519, 4457, 11082, 4941, 547, 2097, 547, 519, 2475, 1317, 789, 941, 4057, 543, 789, 4941, 547, 1118, 811, 2724, 547, 6494, 1394, 547, 741, 4057, 3885, 563, 8489, 1705, 4457, 11082, 7017, 538, 3013, 888, 306, 4953, 307, 4041, 16774, 24505, 2177, 594, 12613, 5456, 6938, 3582, 282, 772, 305, 289, 3198, 10758, 681, 7838, 3201, 454, 7712, 5599, 543, 16749, 4070, 13856, 519, 7262, 4346, 267, 4457, 11082, 12306, 6140, 538, 4993, 543, 2829, 7178, 540, 519, 27743, 15142, 563, 3963, 1705, 519, 4457, 6294, 3433, 547, 519, 2475, 538, 519, 476, 5197, 271, 338, 888, 24336, 11776, 883, 519, 2136, 2276, 1282, 519, 476, 5197, 271, 779, 729, 19430, 676, 16132, 538, 3624, 1813, 547, 519, 14956, 1756, 2782, 543, 519, 31133, 15223, 534, 267, 610, 519, 2048, 20112, 13738, 685, 540, 519, 476, 7277, 279, 4993, 7108, 27538, 563, 3963, 1705, 4457, 11082, 2097, 547, 3013, 538, 476, 4489, 271, 888, 297, 3253, 779, 22266, 12289, 540, 3624, 3366, 547, 3152, 1857, 29059, 585, 519, 4457, 1004, 267, 543, 19430, 4457, 4892, 547, 11578, 585, 519, 8908, 267, 547, 6443, 538, 2112, 6080, 267, 543, 547, 21821, 538, 2594, 2338, 563, 3963, 1705, 519, 2475, 7333, 4457, 11776, 888, 6624, 4892, 593, 519, 4639, 11076, 11911, 19394, 13848, 543, 2804, 476, 1571, 547, 4457, 4600, 269, 4014, 519, 4457, 7768, 1152, 1547, 476, 16573, 2600, 540, 519, 4182, 779, 2551, 267, 6837, 5293, 519, 17181, 957, 547, 726, 659, 622, 11832, 7569, 543, 1028, 340, 720, 11342, 4145, 827, 4509, 3043, 968, 24055, 19454, 3034, 3963, 1705, 519, 4457, 4734, 3624, 538, 519, 476, 866, 628, 2540, 888, 763, 2527, 900, 12568, 267, 799, 7018, 689, 519, 476, 866, 628, 2540, 547, 476, 3707, 280, 267, 729, 5631, 3361, 676, 13313, 267, 27781, 267, 543, 2112, 538, 22163, 3624, 267, 543, 2804, 3255, 13383, 971, 607, 519, 4993, 4154, 19060, 538, 476, 7277, 280, 563, 8005, 941, 2808, 2025, 11082, 888, 763, 865, 10777, 968, 1245, 11776, 892, 4330, 519, 1895, 3864, 11082, 945, 968, 322, 877, 5631, 689, 8832, 543, 6239, 2342, 630, 30051, 543, 4789, 264, 538, 2038, 476, 5197, 271, 3226, 1063, 476, 9264, 271, 543, 476, 6245, 271, 789, 941, 6140, 13889, 656, 892, 543, 789, 3357, 538, 2516, 540, 3885, 789, 941, 3810, 9952, 267, 4587, 538, 2085, 267, 543, 1185, 9793, 6693, 1432, 5389, 1705, 4457, 11082, 3142, 547, 3013, 888, 6624, 5645, 2370, 609, 873, 855, 519, 2686, 5389, 789, 6785, 267, 971, 607, 1893, 267, 2984, 267, 3909, 9821, 267, 1426, 1811, 267, 2575, 267, 5152, 267, 543, 7544, 269, 4457, 11082, 267, 5631, 22616, 2158, 324, 10529, 689, 2871, 836, 323, 784, 267, 941, 1851, 519, 1101, 1306, 2103, 547, 2097, 547, 519, 2136, 2276, 267, 4098, 538, 519, 3735, 22733, 2540, 563, 3963, 1705, 11082, 2097, 547, 519, 2136, 2276, 538, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 888, 1103, 519, 3735, 476, 5197, 271, 338, 267, 1004, 538, 1082, 2694, 540, 519, 1158, 4956, 547, 4734, 741, 5321, 543, 6294, 3433, 547, 519, 2136, 2276, 269, 18307, 4370, 7693, 5821, 267, 2244, 543, 2816, 22520, 267, 8375, 9204, 267, 543, 26380, 267, 1082, 3357, 547, 519, 772, 269, 590, 269, 1317, 621, 729, 9228, 607, 519, 2244, 540, 2804, 4316, 563, 1692, 1082, 4457, 3357, 547, 3013, 538, 519, 476, 5197, 271, 338, 888, 27001, 476, 6977, 271, 543, 476, 6642, 273, 267, 811, 982, 476, 27088, 267, 1822, 4457, 11082, 9411, 630, 528, 556, 268, 550, 1229, 264, 519, 2136, 2276, 267, 1082, 689, 2871, 836, 323, 784, 543, 17540, 329, 1014, 16899, 563, 1692, 1082, 4457, 11082, 3357, 547, 3013, 888, 763, 1297, 540, 11082, 689, 22163, 3624, 538, 519, 2136, 2276, 5176, 23060, 689, 476, 26482, 267, 1822, 538, 476, 2735, 271, 547, 476, 276, 3607, 267, 1822, 538, 476, 1960, 271, 267, 543, 1586, 547, 476, 7176, 280, 267, 1822, 538, 476, 1220, 271, 267, 8757, 476, 273, 269, 272, 2929, 538, 476, 1001, 277, 269, 0, 1432, 6941, 519, 7872, 540, 2257, 888, 8489, 1705, 519, 2856, 610, 5132, 538, 606, 10288, 1158, 12544, 6417, 2864, 982, 513, 26093, 26355, 1765, 2492, 689, 286, 1772, 713, 2070, 1175, 519, 2070, 3425, 723, 2141, 1185, 286, 1772, 621, 519, 9949, 2070, 540, 3425, 286, 1548, 6941, 519, 7872, 540, 2257, 888, 3080, 2278, 814, 1767, 602, 968, 1492, 11944, 540, 2257, 568, 513, 811, 9058, 2680, 982, 1082, 1453, 540, 519, 10570, 2085, 1131, 4952, 1848, 2107, 267, 607, 8834, 26858, 814, 1767, 267, 968, 11004, 729, 4986, 17149, 827, 519, 11944, 540, 2413, 2257, 1848, 1284, 1419, 1491, 2257, 543, 782, 519, 7399, 602, 2257, 2636, 585, 11292, 269, 1280, 1034, 1004, 538, 519, 1686, 540, 8103, 267, 602, 814, 711, 1044, 606, 4781, 269, 5221, 2257, 607, 649, 917, 621, 729, 711, 538, 6228, 563, 6624, 4718, 519, 1158, 607, 26093, 543, 1698, 878, 1190, 267, 711, 6417, 269, 634, 2070, 602, 519, 1158, 814, 3605, 762, 4031, 814, 711, 1044, 519, 2343, 269, 4208, 1131, 835, 1294, 519, 1158, 607, 26093, 543, 29252, 286, 2201, 519, 824, 1688, 267, 1946, 1131, 2576, 1294, 519, 1158, 607, 6417, 286, 1656, 267, 1018, 3017, 798, 891, 5784, 1118, 888, 4322, 5784, 616, 1079, 1114, 13475, 602, 1491, 596, 27723, 1114, 4025, 269, 22628, 519, 1158, 607, 20244, 26093, 543, 1698, 878, 1190, 1281, 711, 1291, 835, 547, 1589, 972, 616, 4031, 602, 1158, 1827, 519, 1158, 269, 634, 1034, 596, 1223, 4126, 585, 1131, 581, 6668, 267, 711, 2257, 269, 1403, 972, 616, 1100, 3652, 547, 513, 3014, 267, 596, 1810, 1406, 1589, 596, 2461, 2469, 547, 3094, 519, 3014, 610, 1256, 1118, 1454, 3356, 269, 2659, 3804, 267, 811, 2693, 267, 568, 547, 3251, 538, 519, 3014, 607, 1279, 607, 2009, 563, 2252, 267, 2705, 267, 596, 3494, 538, 513, 6417, 1931, 569, 1158, 267, 621, 2306, 782, 519, 3017, 538, 519, 1158, 269, 1403, 972, 616, 3652, 547, 968, 1492, 3014, 540, 1272, 892, 1287, 835, 1522, 1265, 602, 972, 616, 5383, 547, 6616, 1346, 3652, 563, 25324, 19912, 827, 2436, 519, 26355, 568, 26093, 610, 6417, 723, 1185, 5458, 6286, 593, 875, 1004, 723, 2219, 827, 606, 13055, 899, 2257, 269, 1403, 649, 3494, 1945, 568, 1876, 1652, 267, 649, 1810, 1406, 1413, 585, 4031, 547, 1353, 563, 7775, 2015, 713, 267, 538, 1082, 2081, 513, 6149, 24463, 543, 6149, 5397, 3118, 616, 711, 602, 1114, 269, 5637, 616, 3262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21579, 327, 664, 267, 6382, 1634, 607, 19343, 267, 568, 835, 540, 519, 1034, 2442, 14812, 538, 519, 2136, 2276, 269, 1717, 267, 1082, 1453, 1810, 1406, 1174, 519, 5072, 540, 713, 11812, 610, 519, 2495, 3297, 621, 782, 269, 901, 666, 4734, 873, 4743, 899, 789, 616, 7508, 856, 593, 6341, 327, 664, 779, 3020, 6891, 267, 610, 3274, 11821, 543, 7334, 827, 1018, 789, 1058, 798, 593, 5239, 476, 4029, 269, 3371, 779, 875, 596, 666, 4001, 707, 3214, 519, 623, 12298, 8129, 540, 6341, 327, 664, 543, 948, 873, 5963, 1995, 519, 9702, 538, 782, 922, 18710, 543, 4898, 563, 21010, 609, 707, 11937, 593, 6341, 327, 664, 454, 21579, 327, 664, 568, 513, 13037, 602, 22842, 519, 1439, 540, 519, 7556, 4005, 269, 898, 729, 849, 513, 942, 950, 623, 698, 753, 15422, 1346, 945, 1185, 5747, 538, 519, 2250, 1032, 269, 1306, 851, 540, 519, 11812, 267, 1004, 1131, 10571, 909, 607, 15293, 338, 610, 824, 31029, 7068, 267, 1769, 13755, 18394, 267, 543, 2995, 2984, 827, 875, 891, 14326, 1522, 20807, 741, 8075, 563, 30631, 1302, 267, 713, 2919, 883, 570, 4459, 11399, 6874, 11661, 267, 1141, 1453, 5957, 24853, 543, 2307, 585, 17711, 689, 12543, 685, 5321, 563, 4407, 649, 1810, 1406, 991, 547, 581, 3833, 865, 3665, 609, 938, 1453, 267, 621, 779, 1271, 585, 873, 547, 1451, 827, 519, 623, 12298, 5072, 540, 19343, 1354, 789, 979, 856, 8945, 11399, 2389, 11661, 2336, 5938, 778, 827, 1272, 9979, 454, 21579, 327, 664, 568, 513, 942, 547, 8661, 519, 7556, 267, 8956, 519, 4666, 267, 543, 2285, 7064, 269, 898, 568, 513, 942, 950, 649, 666, 5660, 3388, 649, 723, 4607, 543, 2671, 938, 11606, 609, 1866, 563, 1607, 3781, 7436, 519, 28870, 1448, 1063, 4201, 4379, 4982, 514, 2135, 630, 300, 629, 517, 264, 543, 15604, 3752, 560, 823, 630, 312, 2544, 1040, 634, 1654, 559, 1063, 713, 1158, 543, 519, 824, 16447, 555, 1231, 865, 14326, 666, 1780, 811, 3362, 563, 2304, 7769, 616, 1419, 1793, 4381, 1229, 547, 3049, 17237, 1004, 538, 519, 5162, 3275, 269, 1306, 606, 10137, 540, 891, 5389, 267, 930, 949, 15093, 606, 3662, 267, 971, 607, 513, 3109, 887, 8803, 610, 3109, 23820, 267, 547, 4300, 848, 31305, 4229, 563, 1103, 1082, 2081, 267, 6341, 327, 664, 568, 513, 11812, 540, 1272, 543, 2669, 1317, 621, 779, 513, 12576, 602, 1100, 2339, 1018, 4523, 538, 1272, 972, 568, 2141, 1689, 563, 294, 1430, 538, 2470, 454, 26903, 568, 513, 1390, 1259, 547, 4001, 1453, 827, 519, 25384, 5072, 540, 6341, 327, 664, 269, 6875, 513, 3802, 3544, 267, 1413, 693, 519, 2371, 543, 4054, 1472, 596, 269, 13185, 827, 519, 2371, 602, 616, 12955, 1394, 585, 5162, 267, 543, 1865, 799, 3283, 786, 1332, 1586, 538, 5614, 563, 28097, 875, 2470, 1568, 607, 513, 4783, 11546, 987, 5012, 547, 32193, 269, 7591, 609, 2067, 2326, 281, 5192, 1524, 593, 707, 3946, 543, 19704, 609, 707, 1126, 593, 741, 3946, 543, 19704, 1932, 267, 2687, 547, 707, 1367, 5759, 269, 8672, 856, 1114, 3762, 610, 16853, 593, 519, 2666, 267, 2263, 1018, 789, 1745, 899, 267, 4584, 909, 835, 909, 543, 1353, 621, 1354, 11093, 621, 1394, 1524, 1141, 596, 1336, 621, 563, 295, 517, 528, 1346, 945, 723, 5293, 593, 1282, 513, 6341, 327, 664, 16008, 454, 2005, 568, 1271, 585, 1453, 547, 917, 602, 649, 1810, 1406, 1175, 8661, 19343, 267, 855, 849, 8956, 519, 623, 12298, 5072, 540, 713, 9702, 269, 1703, 616, 1082, 2081, 547, 798, 713, 609, 707, 1453, 269, 2290, 1259, 568, 676, 7234, 519, 2495, 540, 1272, 267, 610, 14120, 519, 2729, 540, 21549, 1004, 269, 1411, 666, 849, 1865, 1310, 5158, 4978, 282, 610, 2671, 2984, 827, 15293, 338, 267, 26734, 267, 610, 28749, 689, 824, 4529, 269, 1306, 789, 1332, 909, 267, 789, 786, 1376, 547, 1174, 811, 543, 811, 540, 891, 2035, 563, 19400, 513, 17559, 7260, 454, 13014, 2386, 547, 1491, 942, 1055, 585, 1187, 256, 13772, 513, 17559, 7260, 267, 1628, 513, 22481, 267, 610, 979, 593, 513, 18720, 20183, 269, 3807, 1118, 2386, 547, 979, 3544, 543, 2972, 519, 26546, 2011, 1247, 621, 16569, 269, 1452, 616, 1175, 513, 1906, 10372, 547, 1205, 883, 519, 9702, 6891, 269, 1411, 666, 1265, 811, 676, 3257, 606, 4950, 3406, 610, 8384, 13334, 7044, 269, 634, 3483, 568, 547, 723, 930, 1920, 1187, 267, 8956, 2245, 267, 543, 1451, 827, 1018, 5949, 693, 713, 942, 538, 1686, 563, 9596, 827, 28869, 344, 1919, 538, 1686, 454, 6097, 547, 22469, 561, 648, 267, 519, 13037, 540, 6341, 327, 664, 630, 29455, 1094, 327, 2914, 514, 264, 6825, 519, 1439, 540, 519, 7556, 4005, 543, 519, 4098, 540, 5162, 538, 8581, 267, 10430, 267, 4789, 267, 12986, 267, 5333, 267, 5245, 267, 4516, 269, 634, 2262, 6341, 327, 664, 568, 5156, 547, 2097, 689, 513, 717, 6130, 545, 2262, 267, 799, 1797, 519, 1439, 540, 4832, 269, 901, 942, 729, 849, 2938, 607, 513, 1929, 1400, 1974, 538, 799, 14326, 1223, 3362, 3444, 883, 713, 1158, 563, 2005, 779, 2653, 547, 1294, 1946, 26734, 1185, 971, 513, 10639, 585, 1373, 2111, 547, 946, 741, 7060, 693, 6341, 327, 664, 269, 1215, 666, 596, 6451, 891, 5389, 883, 606, 3872, 4259, 286, 17546, 1453, 827, 1018, 621, 1131, 723, 1044, 899, 585, 2576, 2713, 476, 273, 267, 1822, 1296, 3516, 945, 4769, 1406, 917, 950, 5162, 1131, 2253, 610, 952, 789, 1131, 7639, 621, 269, 0, 2005, 568, 2352, 547, 4766, 2372, 6033, 10847, 267, 855, 519, 1655, 1259, 547, 1174, 621, 568, 547, 1995, 621, 20250, 269, 20821, 902, 666, 581, 4371, 9170, 267, 693, 1022, 942, 267, 4352, 789, 616, 1419, 593, 9530, 904, 538, 2372, 6033, 20051, 670, 11817, 563, 5978, 3909, 1995, 5012, 721, 547, 1747, 513, 2027, 1871, 593, 5168, 267, 7862, 267, 16134, 543, 4708, 269, 1452, 16499, 23888, 607, 789, 616, 1634, 616, 5030, 2864, 982, 2854, 269, 1358, 1291, 2372, 5474, 547, 14377, 741, 5132, 883, 2962, 676, 2324, 12725, 543, 11451, 585, 1514, 5126, 267, 547, 1489, 4708, 16234, 543, 1416, 585, 519, 1604, 563, 16248, 2161, 902, 540, 6723, 16737, 18220, 513, 2372, 6033, 1620, 912, 29467, 568, 602, 540, 2696, 538, 3025, 3034, 2108, 13731, 814, 2097, 547, 4001, 1010, 1004, 5128, 3034, 2108, 4131, 707, 2729, 3717, 1848, 0, 7312, 9608, 6651, 547, 4197, 20222, 1996, 5753, 454, 288, 1126, 7888, 4199, 547, 948, 13599, 1453, 593, 519, 12204, 540, 5208, 1996, 1453, 543, 1141, 621, 666, 2049, 563, 763, 27412, 849, 11414, 1453, 547, 2697, 4220, 267, 875, 789, 1058, 2746, 547, 873, 543, 945, 547, 711, 1518, 538, 741, 2146, 827, 1018, 789, 723, 4810, 563, 1607, 3883, 2280, 568, 2139, 538, 2296, 267, 16444, 700, 1678, 534, 543, 13605, 8932, 563, 3682, 339, 1254, 689, 5208, 267, 13834, 2861, 5208, 0, 1103, 713, 2376, 267, 649, 5490, 883, 519, 2565, 3390, 540, 16324, 7115, 543, 922, 4644, 538, 4509, 513, 4023, 543, 31717, 5126, 1062, 269, 1306, 606, 22265, 5639, 267, 649, 1459, 513, 2143, 2079, 540, 519, 2188, 12018, 16324, 7115, 543, 15974, 2994, 547, 6830, 1518, 713, 4909, 30361, 540, 9111, 269, 1635, 5466, 713, 1888, 2649, 1947, 267, 649, 2832, 547, 1683, 3407, 4030, 543, 3565, 547, 519, 11407, 4478, 713, 1898, 2460, 540, 10350, 563, 8139, 7225, 2772, 14412, 454, 763, 11759, 20232, 454, 4263, 519, 2295, 540, 1022, 11180, 2486, 6013, 519, 6240, 540, 16324, 7115, 269, 898, 4016, 547, 519, 2702, 540, 16488, 543, 519, 4140, 26547, 607, 513, 2898, 547, 1118, 3664, 1863, 689, 5007, 7506, 267, 4180, 602, 5126, 568, 6039, 18836, 6053, 543, 9425, 269, 1635, 17420, 519, 4140, 26547, 689, 3768, 826, 13779, 267, 7239, 666, 27481, 519, 4341, 540, 1876, 267, 2149, 1367, 2924, 267, 543, 3895, 1857, 3972, 538, 519, 5126, 1062, 563, 20225, 9653, 540, 25024, 454, 763, 9668, 540, 7060, 267, 513, 4909, 11180, 6240, 267, 4249, 513, 2629, 1909, 538, 17420, 16324, 7115, 269, 1635, 4180, 513, 2312, 11984, 1063, 519, 10324, 267, 15424, 267, 543, 16324, 8371, 267, 713, 14985, 11942, 513, 1062, 540, 11974, 543, 21356, 602, 11151, 1022, 2582, 7936, 689, 11851, 532, 7050, 1852, 269, 7225, 2772, 7115, 12346, 593, 713, 9668, 267, 3850, 16488, 547, 4612, 4031, 1510, 4250, 540, 2797, 610, 5007, 2604, 563, 26502, 14118, 9760, 7225, 2772, 14412, 454, 763, 1505, 540, 6966, 532, 16488, 568, 513, 2565, 3815, 538, 4509, 741, 7115, 269, 589, 12001, 543, 20519, 2861, 5542, 1184, 267, 1863, 689, 2797, 13779, 267, 5849, 602, 3810, 11727, 2043, 609, 8699, 616, 12912, 547, 519, 14541, 269, 20074, 7347, 5542, 6127, 267, 971, 607, 4830, 16324, 862, 3827, 267, 666, 948, 11574, 519, 1981, 540, 21678, 20499, 543, 7794, 16324, 7115, 563, 307, 523, 675, 543, 8232, 540, 7225, 2471, 454, 17809, 4575, 16488, 609, 5150, 543, 4830, 26022, 568, 1898, 269, 7043, 518, 543, 1875, 3146, 2908, 762, 2474, 1202, 3634, 16488, 689, 3768, 826, 5007, 7506, 267, 16779, 873, 547, 1118, 3664, 9003, 1759, 593, 519, 1876, 543, 3656, 9551, 757, 269, 3958, 267, 9591, 28863, 1996, 17062, 8851, 610, 4483, 540, 16488, 10597, 741, 7115, 267, 3850, 873, 547, 3635, 741, 16324, 11645, 1510, 4250, 540, 1065, 5142, 531, 563, 288, 1372, 12930, 8249, 543, 8081, 454, 28444, 1005, 602, 519, 4140, 26547, 11392, 6190, 2200, 543, 1489, 568, 2629, 585, 4509, 922, 7115, 269, 2672, 2310, 7616, 267, 1134, 25668, 5792, 5480, 7741, 267, 543, 1569, 547, 3102, 3656, 1382, 2645, 5512, 16488, 547, 6023, 2665, 7561, 543, 3927, 269, 1635, 10115, 538, 519, 5989, 540, 519, 4140, 26547, 267, 6608, 6542, 741, 7029, 547, 30176, 519, 4341, 540, 1876, 543, 17420, 16324, 7115, 563, 16676, 5224, 4065, 543, 9751, 454, 23220, 7627, 519, 5571, 2069, 543, 2866, 540, 16488, 568, 14063, 269, 1635, 9363, 32448, 540, 3656, 7835, 267, 16488, 666, 1118, 5483, 3664, 543, 3082, 547, 9687, 6848, 543, 3656, 2591, 269, 21278, 7347, 2866, 3292, 267, 1569, 547, 3656, 13746, 267, 543, 8716, 7589, 538, 16324, 19014, 543, 29468, 16877, 16488, 547, 14133, 538, 741, 5107, 543, 2417, 18791, 741, 7115, 563, 25618, 625, 585, 10783, 4328, 7225, 2772, 14412, 454, 14276, 17607, 543, 4065, 454, 19102, 2084, 1857, 4656, 543, 1620, 540, 519, 2956, 540, 16324, 7115, 568, 4105, 269, 12056, 538, 3872, 11044, 267, 5009, 5188, 267, 543, 12180, 1857, 15473, 593, 519, 1888, 666, 6536, 513, 1134, 26455, 12504, 787, 269, 1635, 10223, 519, 1871, 540, 606, 31717, 4140, 26547, 267, 7239, 666, 28487, 1489, 585, 3800, 602, 16102, 16324, 7115, 543, 5706, 3768, 826, 2797, 2604, 563, 17220, 11621, 543, 7454, 13756, 454, 19352, 532, 2390, 3486, 4441, 543, 1655, 2853, 666, 4196, 607, 513, 13057, 5943, 585, 14304, 16324, 7115, 269, 22749, 666, 4324, 689, 4974, 3811, 3631, 689, 1472, 519, 1158, 543, 15268, 873, 547, 9290, 741, 1808, 8658, 269, 12056, 538, 3486, 9316, 543, 5275, 519, 6791, 540, 3906, 21751, 538, 16324, 6963, 666, 5351, 538, 7598, 2500, 2994, 563, 9743, 6627, 4201, 16860, 543, 10055, 1464, 454, 15307, 629, 7667, 4830, 16324, 4703, 609, 519, 1379, 547, 10038, 519, 2932, 540, 16488, 568, 1898, 585, 4509, 12477, 269, 1452, 4703, 1058, 723, 519, 6392, 547, 8495, 20286, 1996, 16488, 267, 2327, 5683, 4441, 616, 909, 18988, 267, 543, 3895, 11413, 269, 22367, 6362, 519, 10347, 3666, 1063, 13190, 543, 12477, 568, 2629, 547, 5807, 16324, 7115, 1247, 5466, 1022, 8320, 540, 13817, 2265, 610, 32226, 563, 763, 11091, 540, 16324, 7115, 568, 14063, 547, 30176, 519, 4341, 540, 1876, 543, 4180, 513, 1175, 2486, 269, 1635, 7598, 2500, 2994, 267, 971, 607, 12001, 13393, 3157, 267, 5150, 26022, 267, 7850, 2200, 267, 543, 11173, 2069, 267, 6608, 666, 6830, 1518, 519, 7115, 540, 741, 4140, 26547, 269, 5047, 267, 5807, 1857, 4656, 267, 20170, 547, 3486, 4441, 267, 543, 9591, 7347, 12477, 6127, 3565, 547, 513, 6793, 543, 811, 14388, 5126, 1062, 269, 898, 568, 16122, 602, 782, 8639, 267, 1519, 14519, 267, 3656, 4648, 267, 543, 4961, 267, 6443, 3946, 547, 2149, 543, 20741, 519, 17170, 6240, 540, 16324, 7115, 563, 2171, 991, 707, 948, 547, 3136, 547, 2022, 3377, 602, 6927, 1862, 2791, 666, 1489, 938, 3646, 676, 9140, 721, 513, 6995, 1862, 898, 779, 2656, 267, 5150, 267, 543, 2653, 269, 4179, 2517, 326, 690, 564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 594, 2760, 2808, 8885, 513, 536, 6033, 267, 855, 972, 594, 729, 267, 3843, 1250, 1688, 693, 1818, 19471, 7423, 585, 519, 1101, 942, 269, 594, 1185, 1224, 2228, 602, 782, 621, 3576, 729, 930, 5230, 8645, 543, 513, 3787, 540, 9639, 267, 865, 594, 10356, 1250, 7727, 543, 3893, 547, 960, 780, 2026, 594, 23953, 519, 5230, 8645, 689, 519, 12826, 883, 519, 20220, 267, 1739, 3268, 476, 272, 998, 476, 274, 689, 519, 5363, 23749, 3391, 593, 11264, 519, 4845, 834, 296, 23953, 519, 5230, 8645, 24222, 257, 594, 7948, 1405, 948, 855, 1745, 513, 9490, 2631, 540, 9547, 8384, 519, 5394, 5277, 1793, 9655, 1472, 3330, 519, 4837, 6077, 269, 901, 2241, 957, 5433, 9642, 569, 9354, 267, 899, 519, 4098, 540, 606, 7045, 269, 9741, 1705, 594, 917, 1175, 875, 1318, 594, 729, 780, 7069, 13395, 1719, 538, 1148, 16388, 531, 1426, 2504, 3366, 803, 1524, 513, 15529, 8559, 540, 18789, 10051, 3785, 267, 543, 1354, 1279, 267, 594, 1336, 8885, 12394, 547, 1118, 3388, 689, 11877, 323, 965, 3694, 547, 4584, 956, 269, 1809, 4986, 3833, 3379, 547, 519, 9059, 540, 7432, 1945, 607, 8723, 607, 5230, 8645, 883, 1945, 607, 9058, 607, 7423, 269, 2060, 1142, 24526, 21199, 540, 519, 20220, 267, 594, 14952, 539, 693, 519, 7004, 2921, 1747, 1369, 269, 898, 7012, 1405, 1279, 1354, 594, 1223, 1294, 3982, 6106, 8108, 9789, 18219, 17571, 19459, 689, 519, 14402, 15559, 269, 3733, 1360, 1378, 7423, 2439, 3719, 1287, 3357, 519, 6397, 4729, 6335, 269, 1306, 594, 31113, 1085, 17274, 539, 856, 519, 4396, 1881, 3170, 267, 6028, 3297, 519, 855, 3410, 20488, 267, 594, 8068, 1945, 15116, 281, 6263, 1179, 802, 16559, 2429, 519, 11344, 6219, 269, 2311, 1101, 267, 594, 2219, 789, 941, 6071, 23606, 267, 855, 6251, 14791, 7000, 873, 547, 581, 31208, 2572, 574, 958, 1507, 695, 1841, 540, 4496, 269, 7754, 17673, 267, 594, 1427, 571, 1027, 1250, 3268, 543, 7691, 519, 2707, 540, 519, 12526, 12544, 23643, 594, 1185, 1031, 4505, 547, 13489, 519, 8645, 8659, 15244, 540, 512, 8882, 11798, 267, 799, 1590, 723, 1166, 8898, 1055, 1282, 519, 1184, 780, 3086, 267, 952, 713, 941, 513, 7260, 1395, 5653, 1305, 547, 10565, 2575, 267, 596, 1522, 4952, 803, 19184, 532, 519, 16801, 540, 1631, 268, 745, 1441, 7423, 883, 519, 17885, 267, 17400, 532, 1250, 3983, 9939, 267, 543, 12247, 532, 2760, 1586, 547, 3801, 971, 513, 18174, 14551, 344, 20089, 269, 5502, 267, 594, 561, 13774, 1117, 693, 519, 21494, 640, 540, 519, 3510, 267, 18507, 585, 519, 12576, 602, 1256, 9583, 3501, 3157, 666, 979, 1659, 787, 269, 1656, 1247, 594, 6157, 9327, 1405, 4363, 10438, 17285, 7423, 267, 594, 7948, 1405, 3142, 8885, 547, 1167, 731, 519, 3003, 16801, 269, 2991, 521, 14823, 998, 519, 24401, 6150, 13980, 267, 594, 32006, 3042, 2614, 547, 3262, 6094, 569, 936, 513, 4195, 3138, 2378, 540, 12933, 344, 3694, 780, 8269, 22162, 593, 1250, 1995, 267, 594, 6591, 513, 17105, 7071, 585, 1312, 519, 5898, 543, 17674, 1464, 540, 11477, 17634, 269, 17610, 267, 3006, 1919, 1810, 1405, 2490, 856, 4010, 607, 9709, 267, 855, 3884, 1405, 602, 851, 540, 519, 1187, 286, 1924, 1018, 952, 594, 8694, 909, 609, 7904, 4242, 540, 23240, 538, 1250, 6382, 8949, 5137, 286, 1403, 4376, 267, 621, 3773, 1915, 11652, 1500, 585, 3833, 519, 19278, 1650, 269, 4595, 1287, 267, 594, 4312, 17947, 1082, 811, 28031, 5652, 12348, 543, 4362, 2950, 4904, 609, 1004, 945, 2671, 1250, 6612, 585, 1565, 543, 3395, 269, 6884, 1272, 3947, 721, 19790, 976, 282, 824, 2053, 267, 621, 13344, 721, 609, 17646, 19899, 4310, 7423, 269, 23657, 1259, 267, 649, 666, 3442, 547, 1265, 7772, 543, 2495, 538, 938, 2833, 267, 1100, 2339, 875, 20541, 789, 949, 3100, 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, 22081, 1281, 519, 4845, 1439, 2496, 296, 23953, 519, 5230, 8645, 689, 519, 12826, 883, 519, 20220, 2394, 519, 454, 21186, 729, 2407, 780, 3721, 476, 272, 281, 13760, 519, 2796, 540, 519, 4845, 269, 634, 4845, 568, 6158, 827, 22151, 5230, 8645, 689, 835, 8708, 630, 1492, 12826, 264, 547, 1776, 630, 1492, 20220, 6393, 3721, 476, 273, 281, 6056, 827, 519, 3804, 610, 6364, 269, 769, 713, 2013, 267, 519, 10584, 568, 2693, 11423, 519, 20220, 609, 5230, 8645, 267, 865, 519, 1439, 540, 519, 4845, 1058, 2992, 713, 2962, 780, 3721, 476, 274, 281, 13159, 519, 4845, 269, 634, 3804, 568, 6913, 950, 519, 20220, 568, 2407, 267, 865, 602, 781, 519, 1439, 540, 519, 2962, 1373, 4330, 269, 4935, 267, 519, 4845, 7475, 609, 834, 2863, 559, 519, 20220, 729, 2407, 1701, 10640, 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, 594, 4312, 2141, 1044, 513, 8516, 27423, 267, 7683, 5275, 2081, 547, 2087, 1250, 2773, 543, 9156, 5488, 689, 7920, 23736, 269, 1924, 950, 594, 16686, 2390, 513, 7662, 585, 513, 1164, 3491, 12888, 27046, 22596, 11600, 3358, 585, 9845, 593, 513, 2442, 6484, 1016, 1042, 9016, 267, 594, 729, 11235, 547, 3565, 269, 3371, 781, 875, 621, 782, 4682, 1524, 1384, 265, 2608, 2608, 692, 296, 7948, 1405, 5706, 4687, 1250, 5172, 979, 3562, 14254, 1310, 2542, 519, 2022, 11331, 834, 314, 15812, 6658, 316, 14474, 1540, 1234, 10360, 32369, 910, 4400, 268, 3682, 12888, 744, 520, 22596, 585, 26465, 525, 1701, 2060, 15131, 267, 594, 3459, 17511, 856, 1250, 19169, 1384, 285, 12361, 4400, 268, 3682, 12888, 744, 520, 22596, 609, 7137, 1845, 543, 715, 7491, 454, 11417, 285, 12693, 23123, 454, 11417, 285, 2608, 476, 272, 7484, 18202, 28113, 454, 285, 2608, 476, 273, 11680, 5667, 11548, 2989, 30288, 5144, 454, 285, 2608, 476, 272, 1085, 17274, 29877, 765, 344, 3940, 8869, 454, 285, 2608, 476, 16006, 7484, 6404, 15708, 630, 325, 3306, 610, 13792, 994, 285, 2608, 476, 26528, 7484, 22872, 10808, 630, 324, 3052, 1421, 9267, 22756, 267, 30646, 267, 890, 322, 753, 2020, 2026, 8292, 3323, 12902, 538, 267, 9299, 2358, 1250, 5137, 267, 835, 3593, 3957, 579, 22077, 527, 2690, 16908, 9575, 1250, 3007, 1384, 285, 2608, 257, 15124, 3903, 256, 1809, 723, 596, 2479, 6836, 1210, 23741, 12271, 3079, 540, 2834, 10808, 286, 1358, 2709, 811, 15060, 268, 274, 9761, 7408, 543, 9667, 11476, 10590, 22177, 4504, 29098, 267, 594, 4956, 547, 2285, 621, 513, 8929, 269, 2991, 782, 267, 19234, 609, 10346, 568, 851, 540, 519, 1187, 256, 3733, 1985, 17365, 2196, 3769, 23741, 12271, 267, 543, 2386, 2614, 9789, 1267, 729, 9735, 269, 589, 2241, 23396, 1185, 11506, 1250, 2907, 24974, 8670, 269, 7402, 2227, 3022, 267, 594, 14452, 547, 28546, 2690, 16908, 1384, 285, 834, 265, 12552, 865, 1454, 585, 519, 19583, 256, 670, 11391, 12271, 9090, 3773, 513, 8799, 5905, 30818, 5016, 6524, 1279, 267, 1776, 3593, 267, 579, 18025, 1077, 5264, 303, 23176, 267, 16403, 539, 538, 1384, 285, 2608, 257, 2252, 596, 1616, 1256, 811, 3940, 267, 2015, 4946, 930, 5259, 18506, 256, 1411, 1223, 946, 3368, 30288, 5144, 543, 3368, 5259, 18506, 585, 3063, 8645, 1465, 543, 3940, 24362, 1701, 22177, 3086, 267, 594, 2648, 3843, 1007, 1919, 267, 855, 972, 941, 1079, 2042, 1934, 281, 3689, 267, 594, 1810, 1405, 3226, 2972, 5259, 18506, 282, 2034, 267, 1250, 26178, 22166, 1131, 1118, 803, 7985, 2663, 269, 1717, 267, 7487, 741, 10761, 1500, 803, 1589, 827, 4244, 3681, 269, 2334, 3781, 267, 594, 598, 1723, 551, 539, 513, 17154, 4528, 267, 13868, 30288, 5144, 609, 17310, 5144, 543, 6220, 3623, 5287, 31949, 269, 11773, 1586, 2439, 1607, 1995, 5828, 856, 547, 581, 2484, 811, 982, 1175, 17408, 1136, 513, 11600, 1107, 621, 2968, 513, 3460, 540, 1582, 1652, 5698, 1369, 938, 13395, 2146, 269, 1284, 22121, 2093, 267, 4121, 689, 1142, 824, 267, 543, 1336, 7772, 538, 3501, 532, 1945, 649, 782, 6068, 281, 30740, 938, 4703, 585, 6099, 2773, 269, 3776, 7104, 7326, 2813, 513, 3532, 4199, 585, 3025, 3238, 267, 11744, 519, 5898, 540, 1930, 5188, 543, 18515, 547, 3082, 780, 265, 2608, 2608, 692, 8269, 22162, 593, 1250, 23749, 7045, 267, 594, 7691, 602, 1373, 851, 540, 971, 2950, 2636, 721, 547, 1332, 1927, 267, 1451, 689, 1866, 262, 2833, 267, 543, 1628, 9434, 4296, 1759, 593, 3838, 18653, 269, 1306, 9845, 267, 649, 7903, 6000, 3564, 7182, 267, 9784, 2591, 267, 543, 11441, 585, 6024, 6454, 269, 1635, 7311, 891, 3741, 3544, 519, 15547, 267, 998, 7391, 543, 21769, 267, 649, 1711, 3255, 585, 2208, 267, 6536, 5647, 267, 543, 7794, 938, 7554, 609, 8284, 7192, 20601, 15606, 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, 2108, 8923, 1683, 513, 1496, 15812, 6658, 316, 30149, 11600, 585, 606, 2653, 543, 2635, 14254, 602, 568, 4481, 6098, 2509, 9845, 610, 2043, 2502, 538, 1164, 27233, 23736, 269, 634, 11600, 1058, 1331, 513, 2143, 1592, 540, 5820, 602, 616, 4481, 6225, 585, 4887, 6051, 543, 1648, 11808, 267, 607, 1134, 607, 1900, 8386, 9912, 5528, 585, 7041, 269, 3958, 267, 5225, 1331, 519, 9422, 1344, 585, 1142, 7674, 540, 519, 14254, 11600, 267, 1519, 519, 5672, 1258, 22021, 15059, 543, 25050, 22021, 1543, 269, 898, 568, 1271, 602, 519, 11600, 568, 2966, 547, 11126, 18942, 2773, 543, 6051, 563, 2080, 568, 513, 1496, 15812, 6658, 316, 30149, 11600, 585, 606, 2653, 543, 2635, 14254, 602, 568, 4481, 6098, 2509, 9845, 610, 2043, 2502, 538, 1164, 27233, 23736, 912, 1012, 4400, 268, 3682, 12888, 744, 520, 22596, 609, 7137, 1845, 543, 715, 7491, 454, 2162, 23123, 454, 268, 476, 272, 7484, 18202, 28113, 454, 268, 476, 273, 11680, 5667, 11548, 2989, 30288, 5144, 454, 268, 476, 272, 1085, 17274, 29877, 765, 344, 3940, 8869, 454, 268, 476, 272, 270, 273, 7484, 6404, 15708, 630, 325, 3306, 610, 13792, 994, 268, 476, 272, 270, 275, 7484, 1781, 10640, 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, 3848, 476, 278, 281, 3943, 16486, 4577, 32691, 31538, 338, 692, 296, 269, 4985, 692, 763, 1353, 540, 4108, 26977, 3091, 3407, 4030, 883, 519, 3140, 2796, 267, 6848, 2418, 267, 543, 6639, 7760, 540, 513, 1880, 5736, 269, 7324, 519, 1034, 11599, 543, 9565, 4108, 10571, 9479, 616, 1346, 540, 519, 3943, 13845, 548, 4577, 26462, 269, 901, 3184, 786, 5490, 883, 519, 6946, 3877, 267, 13513, 267, 543, 4720, 540, 891, 26977, 1247, 10223, 741, 4644, 1369, 519, 6626, 8739, 27791, 5251, 540, 2342, 1282, 519, 3735, 22733, 543, 2038, 13524, 5553, 780, 2862, 269, 8466, 12745, 692, 288, 269, 634, 22547, 540, 19167, 12844, 777, 27525, 454, 1103, 476, 9692, 280, 267, 4937, 19167, 12844, 777, 27525, 25868, 1379, 538, 5333, 1739, 1296, 540, 2797, 24187, 543, 1514, 19727, 15427, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5403, 26572, 21415, 6538, 7746, 602, 596, 616, 4448, 547, 269, 634, 1267, 540, 713, 13214, 786, 1683, 596, 609, 3877, 827, 519, 1808, 4528, 540, 5403, 26572, 21415, 602, 568, 4867, 8704, 543, 4881, 563, 3721, 476, 272, 281, 7046, 513, 12363, 6885, 610, 4971, 5401, 563, 3721, 476, 273, 281, 4045, 547, 707, 5403, 26572, 21415, 6538, 7746, 1210, 519, 27666, 27942, 4971, 609, 3617, 4276, 3877, 269, 1280, 1383, 267, 952, 707, 5403, 26572, 21415, 7746, 568, 4881, 12725, 593, 519, 9949, 2823, 609, 519, 9949, 6538, 2012, 543, 596, 616, 1210, 519, 9949, 5403, 26572, 21415, 3593, 267, 596, 666, 946, 519, 1739, 4971, 912, 1186, 27942, 910, 308, 2022, 326, 637, 910, 327, 2199, 10676, 910, 335, 476, 276, 6246, 273, 910, 323, 2022, 326, 637, 454, 1607, 17648, 602, 596, 616, 8220, 547, 519, 2022, 326, 637, 6538, 609, 519, 2022, 326, 637, 3593, 267, 543, 519, 5403, 26572, 21415, 7746, 568, 4881, 593, 2199, 10676, 630, 328, 4318, 1421, 519, 1482, 3684, 1141, 596, 616, 22589, 519, 27666, 27942, 4971, 264, 593, 2823, 476, 276, 6246, 273, 630, 1492, 9949, 2823, 1031, 676, 5403, 26572, 21415, 1916, 3721, 476, 274, 281, 4495, 4448, 547, 519, 5403, 26572, 21415, 7746, 267, 596, 666, 3390, 519, 1739, 14069, 13214, 547, 23074, 519, 4528, 1344, 912, 3721, 476, 275, 281, 4964, 9373, 547, 14892, 519, 13214, 269, 634, 1267, 786, 4159, 519, 4528, 1344, 540, 519, 5403, 26572, 21415, 7746, 267, 971, 607, 912, 8070, 26572, 21415, 476, 1724, 269, 276, 593, 1535, 10436, 318, 5038, 1790, 322, 2000, 514, 5060, 3766, 20692, 267, 16432, 676, 575, 764, 630, 294, 6717, 264, 476, 279, 269, 274, 269, 271, 267, 476, 5038, 19229, 454, 763, 4528, 1344, 786, 581, 10268, 607, 851, 540, 519, 13214, 1267, 267, 6029, 519, 1808, 4528, 540, 5403, 26572, 21415, 602, 568, 4867, 8704, 543, 4881, 593, 707, 7746, 563, 1607, 6920, 602, 519, 4528, 540, 5403, 26572, 21415, 4881, 568, 476, 1724, 269, 276, 267, 543, 621, 729, 16432, 1210, 575, 764, 630, 294, 6717, 264, 4528, 476, 279, 269, 274, 269, 271, 593, 513, 476, 5038, 19229, 12380, 1062, 563, 763, 4528, 1344, 8120, 1331, 3877, 971, 607, 519, 2101, 543, 5634, 4528, 2338, 267, 519, 3760, 610, 6189, 621, 729, 16432, 585, 267, 519, 29085, 1031, 267, 543, 824, 4143, 1344, 827, 519, 5403, 26572, 21415, 10380, 563, 3721, 476, 276, 281, 1411, 666, 1287, 14827, 519, 27666, 27942, 8400, 676, 17511, 1422, 336, 543, 10296, 9373, 563, 3528, 1739, 891, 3268, 267, 596, 666, 3362, 23074, 519, 4528, 1344, 540, 5403, 26572, 21415, 1210, 519, 27666, 27942, 4971, 563, 7476, 5403, 326, 637, 27942, 4528, 609, 1397, 4971, 454, 5194, 1259, 547, 23074, 519, 4528, 1344, 540, 5403, 26572, 21415, 538, 707, 3292, 568, 676, 1210, 519, 15562, 8582, 4971, 609, 519, 7746, 318, 11437, 9936, 269, 901, 568, 606, 14069, 4971, 602, 666, 581, 13401, 2047, 538, 519, 5403, 26572, 21415, 6538, 547, 3489, 519, 4528, 1297, 563, 2690, 1383, 267, 952, 596, 14892, 519, 1739, 13214, 538, 513, 5403, 26572, 21415, 6538, 912, 2791, 949, 4309, 513, 1267, 2147, 547, 519, 1739, 912, 1607, 6920, 602, 519, 4528, 540, 5403, 26572, 21415, 4881, 568, 476, 1724, 269, 276, 563, 763, 15562, 8582, 4971, 538, 5403, 26572, 21415, 568, 1031, 547, 23074, 1585, 12122, 5468, 267, 1062, 6724, 267, 543, 824, 7746, 5829, 1344, 269, 1635, 28408, 7746, 318, 11437, 607, 519, 9936, 267, 596, 666, 3489, 519, 4528, 1297, 540, 519, 5403, 26572, 21415, 6538, 7746, 563, 1607, 1505, 666, 581, 3226, 3730, 950, 13214, 532, 5403, 26572, 21415, 689, 1369, 707, 3498, 3009, 267, 607, 621, 2636, 596, 547, 29858, 23074, 519, 4528, 1344, 1282, 678, 29025, 543, 946, 621, 538, 707, 3498, 7954, 607, 2877, 563, 13425, 5403, 326, 637, 27942, 4528, 609, 2022, 326, 637, 4971, 454, 2791, 666, 849, 3489, 519, 5403, 26572, 21415, 4528, 1210, 968, 14006, 326, 637, 910, 309, 892, 610, 968, 14006, 326, 637, 1107, 11437, 892, 1510, 519, 10530, 563, 2080, 779, 606, 1383, 540, 875, 596, 666, 946, 519, 2953, 4971, 538, 513, 12363, 610, 4971, 5401, 912, 5475, 22589, 519, 4971, 267, 596, 1058, 1294, 519, 4528, 1297, 540, 5403, 26572, 21415, 9102, 538, 519, 3977, 267, 971, 607, 968, 8070, 26572, 21415, 476, 1724, 269, 274, 892, 610, 968, 8070, 26572, 21415, 476, 1691, 269, 272, 5608, 4470, 593, 519, 4528, 8704, 593, 707, 1062, 563, 2252, 596, 666, 711, 1265, 519, 2022, 326, 637, 4971, 267, 596, 666, 3277, 547, 519, 1739, 3268, 563, 2414, 3313, 519, 4087, 1141, 519, 5403, 26572, 21415, 4971, 568, 8704, 593, 707, 1062, 267, 596, 666, 946, 519, 799, 4971, 630, 517, 12380, 543, 5672, 5308, 264, 610, 519, 1141, 4971, 630, 517, 8837, 1040, 3371, 779, 875, 596, 666, 798, 621, 912, 4002, 12380, 543, 5672, 5308, 912, 15411, 513, 12363, 6885, 563, 13911, 519, 1739, 4971, 543, 2046, 9373, 912, 1607, 786, 4159, 519, 2619, 1141, 519, 2022, 326, 637, 4971, 568, 8704, 267, 971, 607, 1315, 23591, 24800, 9706, 739, 326, 637, 610, 1315, 23591, 15828, 5914, 24800, 9706, 739, 326, 637, 563, 13911, 519, 2407, 2619, 543, 1039, 519, 910, 309, 4781, 547, 4159, 519, 1699, 5403, 26572, 21415, 7746, 4528, 912, 7476, 5403, 326, 637, 27942, 4528, 609, 27666, 27942, 4971, 454, 2791, 666, 18549, 3489, 519, 4528, 1344, 676, 4881, 519, 27666, 27942, 4971, 609, 519, 1107, 11437, 4781, 563, 2080, 779, 606, 1383, 540, 875, 596, 666, 946, 519, 27666, 27942, 4971, 609, 519, 1107, 11437, 4781, 547, 23074, 519, 4528, 1344, 912, 1607, 786, 4159, 519, 4528, 540, 519, 27666, 27942, 7817, 1907, 267, 799, 949, 581, 1114, 689, 519, 4528, 540, 5403, 26572, 21415, 7746, 269, 634, 3977, 786, 581, 1945, 899, 912, 1186, 27942, 630, 8070, 26572, 21415, 264, 476, 1724, 269, 276, 454, 1103, 713, 1383, 267, 519, 4528, 540, 519, 27666, 27942, 7817, 1907, 568, 3254, 607, 476, 1724, 269, 276, 269, 7490, 4063, 602, 713, 4528, 1297, 14687, 547, 519, 4528, 540, 27666, 27942, 543, 711, 8209, 519, 4528, 540, 519, 5403, 26572, 21415, 7746, 563, 2414, 1205, 519, 4528, 540, 519, 5403, 26572, 21415, 7746, 267, 596, 666, 1921, 547, 519, 7746, 1210, 519, 27666, 27942, 4971, 543, 1287, 2196, 519, 10323, 22268, 4528, 3890, 282, 13214, 607, 5018, 538, 519, 3105, 3210, 563, 7476, 5403, 326, 637, 27942, 4528, 609, 678, 10975, 4971, 454, 4002, 930, 12380, 14778, 267, 596, 666, 946, 519, 678, 10975, 4971, 547, 2638, 519, 4528, 540, 5403, 26572, 21415, 602, 568, 8704, 593, 707, 1062, 269, 3371, 779, 875, 596, 666, 798, 621, 912, 3721, 476, 272, 281, 7046, 513, 12363, 6885, 563, 3721, 476, 273, 281, 14840, 519, 1739, 4971, 267, 13868, 2022, 326, 637, 27942, 609, 519, 3617, 10189, 2012, 585, 707, 3892, 912, 337, 10975, 910, 336, 328, 2022, 326, 637, 27942, 454, 31389, 11899, 910, 338, 2022, 326, 637, 27942, 454, 3721, 476, 274, 281, 4964, 9373, 547, 14892, 519, 4971, 563, 3721, 476, 275, 281, 6733, 585, 519, 1899, 602, 2982, 519, 4528, 1344, 540, 5403, 26572, 21415, 269, 634, 3977, 949, 1413, 899, 912, 11243, 2433, 2022, 326, 637, 27942, 454, 309, 619, 542, 2433, 476, 1724, 269, 276, 454, 3725, 3161, 2433, 476, 272, 17989, 323, 326, 283, 23251, 549, 268, 11437, 11417, 1103, 713, 1383, 267, 519, 4528, 540, 5403, 26572, 21415, 8704, 593, 519, 1062, 568, 3254, 607, 476, 1724, 269, 276, 269, 634, 3169, 3898, 543, 4087, 540, 519, 4528, 1344, 949, 4268, 4470, 593, 519, 12380, 3892, 596, 616, 1210, 563, 8923, 4063, 602, 519, 678, 10975, 610, 31185, 11899, 12981, 1683, 1344, 827, 519, 8704, 10189, 4528, 543, 711, 8209, 519, 4528, 540, 519, 5403, 26572, 21415, 7746, 602, 568, 4867, 4881, 269, 1677, 3489, 519, 4528, 540, 519, 5403, 26572, 21415, 7746, 602, 568, 4881, 267, 596, 666, 946, 519, 2409, 5018, 538, 519, 3105, 6114, 267, 971, 607, 8220, 547, 519, 5403, 26572, 21415, 7746, 609, 27666, 27942, 543, 4881, 519, 10323, 22268, 4528, 3890, 282, 13214, 269, 0, 14881, 6999, 594, 1223, 2328, 607, 12357, 607, 513, 3032, 1848, 910, 10955, 3258, 30129, 26766, 269, 28089, 30129, 26766, 568, 4583, 538, 938, 1686, 267, 1317, 540, 1010, 12591, 543, 5339, 7418, 269, 2368, 540, 1010, 7418, 1331, 267, 1603, 519, 1101, 9814, 1650, 267, 2870, 19792, 5708, 543, 4742, 4487, 540, 519, 2110, 1650, 269, 28089, 9090, 19262, 1010, 1747, 538, 1686, 267, 1317, 1018, 1131, 649, 798, 1510, 9814, 286, 4014, 26766, 5206, 543, 1705, 5863, 1919, 1866, 666, 1589, 6382, 899, 875, 646, 9310, 1010, 1762, 23013, 267, 1185, 606, 23931, 543, 3075, 1966, 267, 543, 875, 646, 2141, 5206, 827, 2669, 899, 646, 729, 18930, 539, 609, 621, 563, 10955, 3258, 30129, 26766, 568, 835, 540, 519, 1034, 9565, 5856, 540, 782, 942, 267, 607, 646, 729, 835, 540, 519, 1101, 5830, 547, 2263, 18632, 4798, 998, 3332, 971, 607, 2669, 543, 20947, 269, 1261, 814, 19117, 519, 575, 15402, 9135, 585, 1296, 547, 2097, 269, 10801, 519, 1082, 575, 15402, 1568, 540, 28089, 30129, 26766, 1519, 267, 634, 681, 13273, 267, 634, 595, 2532, 540, 2549, 2632, 650, 5964, 267, 543, 1082, 811, 282, 26766, 3947, 513, 796, 3553, 339, 1782, 3159, 799, 11225, 1034, 540, 1010, 1603, 269, 26766, 13290, 547, 798, 713, 998, 6220, 1808, 5339, 2553, 899, 2144, 773, 11052, 543, 6939, 545, 546, 2109, 563, 10955, 3258, 30129, 26766, 779, 2511, 540, 1603, 814, 4957, 519, 1259, 540, 2413, 1603, 269, 3245, 16105, 547, 11052, 26766, 3096, 27314, 5339, 2553, 547, 25407, 519, 5304, 538, 28869, 344, 267, 4158, 2984, 543, 9954, 269, 28089, 30129, 26766, 1185, 513, 10169, 1244, 7675, 6689, 267, 1010, 3237, 941, 7166, 950, 646, 729, 1152, 693, 519, 2085, 540, 1614, 1296, 2025, 269, 3627, 30129, 27838, 1864, 855, 646, 729, 2760, 16155, 7550, 269, 26766, 3323, 1603, 1354, 543, 4797, 547, 2328, 1310, 646, 21821, 539, 538, 519, 7952, 269, 2368, 540, 519, 15779, 2833, 2429, 1010, 1272, 949, 723, 1291, 547, 26766, 779, 4158, 543, 522, 2381, 748, 6163, 540, 1603, 269, 589, 1906, 540, 26766, 779, 1568, 602, 10268, 1010, 4158, 6163, 540, 1603, 543, 4957, 2413, 1603, 2221, 1331, 267, 7788, 8475, 10557, 267, 513, 575, 15402, 6648, 267, 827, 513, 15669, 945, 22378, 985, 519, 28869, 344, 454, 12441, 596, 917, 602, 28089, 30129, 26766, 11827, 1082, 1603, 2553, 602, 649, 946, 2221, 269, 769, 968, 763, 595, 2532, 540, 2549, 2632, 650, 5964, 2223, 543, 968, 763, 15681, 26626, 9839, 2223, 676, 28089, 30129, 26766, 1312, 2984, 1185, 513, 28869, 344, 7099, 543, 28400, 267, 31877, 267, 476, 272, 560, 1268, 623, 10976, 1936, 2209, 269, 968, 763, 595, 2532, 540, 2549, 2632, 650, 5964, 892, 729, 827, 513, 812, 3957, 8053, 637, 528, 543, 646, 535, 1389, 602, 646, 1207, 903, 513, 2731, 7199, 1826, 540, 9174, 1572, 993, 2632, 650, 5964, 269, 634, 824, 1292, 1915, 674, 1953, 6737, 4991, 8945, 539, 547, 979, 1524, 547, 1010, 9174, 1591, 541, 1141, 646, 568, 6038, 12617, 9800, 269, 769, 968, 763, 15681, 26626, 9839, 892, 972, 568, 606, 2025, 812, 945, 814, 513, 27877, 269, 634, 27877, 568, 30223, 676, 1010, 3750, 543, 19754, 1864, 269, 28089, 30129, 26766, 5932, 513, 7099, 540, 16897, 538, 519, 2984, 968, 763, 15681, 26626, 9839, 892, 543, 968, 763, 595, 2532, 540, 2549, 2632, 650, 5964, 892, 998, 1010, 946, 540, 1101, 1268, 1448, 540, 2070, 267, 22509, 17495, 12976, 267, 543, 4259, 563, 10955, 3258, 30129, 26766, 2899, 1767, 267, 968, 24552, 723, 1100, 1379, 547, 23666, 519, 2247, 1510, 519, 27610, 16897, 540, 741, 4641, 1848, 28089, 30129, 26766, 568, 1851, 1082, 4589, 607, 835, 540, 519, 1034, 9565, 5830, 540, 782, 942, 269, 28089, 30129, 26766, 1185, 513, 2189, 1603, 2511, 602, 1100, 835, 3116, 1705, 269, 1261, 1705, 1764, 1082, 1004, 543, 1869, 5222, 1082, 547, 713, 1554, 269, 1261, 729, 835, 547, 1628, 593, 519, 2856, 540, 16897, 543, 4228, 519, 1523, 540, 621, 269, 3509, 540, 26766, 779, 1568, 616, 1869, 2139, 2221, 267, 543, 1010, 9954, 616, 1869, 930, 540, 519, 1034, 4583, 1472, 269, 3502, 1152, 568, 26766, 779, 1568, 930, 540, 519, 1655, 4896, 814, 2479, 2938, 267, 519, 5048, 646, 3762, 3025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1523, 538, 476, 1220, 280, 267, 543, 936, 942, 267, 938, 30384, 3893, 1732, 543, 1732, 267, 609, 938, 3301, 3850, 15444, 22076, 547, 7500, 8238, 558, 3585, 543, 1831, 513, 1825, 15344, 13959, 269, 1284, 616, 849, 10583, 547, 723, 2919, 513, 2407, 13355, 8773, 1572, 18919, 23808, 269, 898, 1631, 5713, 607, 513, 1382, 3760, 693, 519, 31584, 10740, 8047, 538, 25470, 563, 2171, 16119, 3494, 602, 519, 1318, 1747, 585, 513, 1514, 8773, 568, 693, 1753, 267, 543, 1310, 2324, 609, 11608, 538, 20682, 585, 1082, 1296, 267, 649, 3357, 547, 519, 3932, 602, 938, 2029, 568, 4712, 547, 1118, 602, 513, 4641, 256, 2334, 3375, 3366, 547, 938, 4259, 909, 513, 2754, 538, 1931, 547, 3142, 15444, 22076, 547, 2344, 563, 2026, 3173, 267, 649, 4769, 1406, 723, 1454, 29426, 1995, 267, 865, 649, 941, 28165, 547, 581, 7608, 883, 519, 22743, 311, 5787, 1807, 267, 538, 519, 2295, 540, 30715, 345, 1156, 267, 3624, 267, 1419, 5219, 547, 607, 968, 1492, 28541, 9503, 540, 8800, 6100, 22743, 311, 568, 513, 3810, 8013, 1982, 602, 568, 1634, 547, 723, 513, 2539, 10343, 2557, 982, 18628, 610, 12370, 563, 4263, 22743, 311, 267, 649, 1558, 9735, 31548, 543, 23003, 945, 5280, 721, 547, 1020, 15444, 22076, 883, 513, 20749, 14323, 1587, 267, 543, 4448, 721, 609, 1883, 5716, 538, 519, 4457, 5663, 5117, 269, 3371, 781, 513, 14229, 752, 32708, 693, 1018, 649, 12913, 1282, 938, 942, 538, 30715, 345, 1156, 693, 22743, 311, 912, 12552, 547, 938, 9035, 693, 22743, 311, 267, 2221, 267, 649, 616, 5393, 5059, 593, 1175, 835, 4305, 607, 621, 12211, 547, 17562, 281, 3450, 4914, 4654, 267, 543, 3257, 621, 1134, 256, 5637, 938, 942, 6170, 607, 3173, 693, 519, 6280, 538, 654, 10635, 22119, 1177, 267, 543, 519, 476, 275, 3275, 649, 6170, 538, 3624, 267, 1500, 721, 8275, 519, 3020, 2956, 540, 1565, 4914, 4654, 563, 2171, 616, 849, 3237, 945, 267, 899, 782, 3237, 267, 1616, 519, 1655, 585, 938, 1453, 269, 1284, 9244, 3494, 602, 519, 2029, 649, 723, 2919, 543, 9927, 883, 15444, 22076, 814, 519, 1761, 547, 22499, 1893, 1565, 585, 3214, 267, 543, 547, 2087, 741, 2298, 540, 1272, 585, 519, 1964, 540, 741, 2729, 563, 2467, 723, 1044, 3833, 513, 1906, 1004, 543, 3906, 945, 723, 5280, 721, 2059, 593, 519, 1259, 593, 938, 3460, 547, 3142, 15444, 22076, 547, 2344, 267, 543, 649, 1131, 899, 547, 9684, 873, 585, 741, 1489, 269, 1284, 1131, 849, 899, 547, 9684, 1169, 2582, 835, 540, 596, 945, 16976, 547, 1394, 713, 1788, 593, 918, 1157, 560, 6621, 267, 607, 1510, 596, 267, 649, 3274, 1131, 711, 581, 2111, 547, 1118, 938, 5326, 540, 16779, 3237, 543, 3214, 609, 11212, 2500, 543, 1187, 1893, 1565, 3842, 17562, 513, 4641, 2336, 11854, 32496, 267, 649, 1131, 899, 547, 5431, 519, 1739, 3906, 912, 268, 22743, 311, 24665, 1807, 630, 327, 1314, 16691, 994, 268, 590, 5308, 309, 1107, 519, 966, 290, 3297, 670, 1314, 24665, 1807, 630, 338, 657, 341, 2593, 994, 268, 654, 10635, 22119, 1177, 2160, 540, 3163, 543, 5303, 630, 4178, 4877, 342, 337, 12975, 269, 680, 994, 268, 4173, 3999, 654, 3430, 2160, 538, 25470, 630, 4178, 19544, 342, 28482, 16896, 994, 268, 2160, 540, 29161, 630, 4178, 3052, 5055, 28482, 16896, 994, 268, 5442, 2464, 290, 268, 2839, 28988, 2548, 630, 4178, 269, 1149, 322, 268, 573, 269, 696, 994, 268, 7467, 540, 3163, 543, 12752, 538, 9628, 630, 4178, 269, 916, 747, 8522, 3820, 994, 268, 3776, 1857, 1894, 8116, 267, 7743, 31666, 7701, 630, 27393, 335, 1886, 698, 7701, 14492, 994, 268, 15829, 7419, 6224, 299, 20846, 630, 4178, 269, 5055, 4875, 2775, 16344, 916, 2593, 994, 290, 2086, 5218, 1514, 2923, 2671, 6402, 912, 8923, 4063, 602, 519, 15444, 22076, 8773, 693, 519, 4098, 568, 3177, 609, 5053, 30165, 543, 2296, 4149, 20725, 4781, 269, 2859, 1893, 3681, 630, 24336, 267, 3943, 267, 3567, 267, 11114, 264, 786, 581, 2919, 538, 519, 2104, 563, 5472, 938, 12587, 15004, 602, 2097, 609, 606, 15444, 22076, 8773, 1331, 835, 1032, 540, 3872, 1543, 585, 2370, 3283, 547, 2972, 267, 799, 596, 3580, 581, 2111, 547, 4647, 547, 15444, 22076, 3842, 519, 15444, 22076, 813, 585, 25515, 610, 15692, 269, 901, 1543, 786, 581, 5950, 547, 596, 936, 519, 1576, 540, 707, 1101, 476, 18458, 2395, 607, 519, 8227, 540, 606, 15444, 22076, 8773, 563, 305, 529, 802, 543, 2591, 454, 2026, 13730, 8030, 543, 17562, 3173, 945, 616, 849, 3237, 6000, 267, 649, 1745, 621, 779, 1271, 547, 581, 4625, 12001, 827, 938, 23072, 609, 15444, 22076, 269, 2060, 513, 1587, 607, 7294, 607, 23600, 267, 972, 616, 2141, 2152, 269, 1452, 3335, 1331, 17799, 1282, 519, 681, 22936, 5123, 267, 607, 1134, 607, 950, 2324, 609, 938, 14273, 543, 15327, 593, 3803, 5663, 269, 1284, 786, 2232, 713, 676, 9750, 938, 2319, 547, 1331, 519, 1655, 8800, 543, 3301, 8030, 267, 7247, 649, 917, 13948, 689, 938, 942, 607, 3173, 693, 654, 10635, 22119, 1177, 2160, 563, 30772, 267, 649, 3580, 581, 26378, 883, 519, 4081, 917, 24376, 540, 938, 6280, 543, 519, 6791, 540, 938, 23003, 693, 22743, 311, 269, 11109, 1569, 547, 519, 4457, 5663, 5117, 1282, 519, 1646, 543, 5663, 5123, 786, 581, 2629, 538, 1931, 547, 2327, 3728, 543, 3608, 11056, 540, 519, 1788, 267, 543, 649, 616, 1360, 6126, 547, 723, 713, 2186, 540, 1489, 3297, 721, 267, 7064, 547, 519, 942, 649, 4076, 2907, 6170, 538, 3624, 563, 2171, 4076, 5249, 29367, 547, 3313, 875, 1454, 2724, 786, 581, 2838, 547, 2743, 938, 3853, 269, 1677, 13468, 1981, 3823, 6578, 10148, 267, 649, 616, 849, 4867, 3168, 585, 966, 290, 7616, 563, 12234, 267, 519, 1852, 3301, 585, 938, 8773, 814, 1044, 2919, 543, 7318, 936, 513, 1279, 1974, 540, 942, 269, 898, 568, 1360, 1454, 968, 339, 3072, 267, 7318, 267, 543, 3020, 6100, 9596, 827, 12477, 593, 918, 1157, 560, 6621, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 10907, 638, 3931, 16952, 13317, 14351, 454, 10743, 1831, 3238, 538, 519, 2259, 540, 1565, 827, 8804, 269, 634, 8561, 568, 593, 875, 835, 3096, 519, 6006, 2344, 269, 2290, 666, 849, 1451, 875, 547, 946, 2123, 8804, 543, 1831, 31235, 609, 7963, 2359, 563, 274, 14358, 476, 277, 20042, 454, 20059, 532, 538, 23126, 281, 1323, 9483, 13979, 547, 4065, 5463, 2888, 454, 1432, 568, 519, 3017, 1063, 2168, 3854, 543, 1480, 3854, 267, 543, 538, 799, 1058, 596, 1902, 286, 2755, 6236, 519, 1523, 540, 2132, 593, 5092, 267, 1491, 513, 1413, 693, 519, 2628, 26160, 543, 4539, 540, 10115, 538, 2866, 543, 2069, 563, 280, 628, 910, 476, 1321, 628, 4317, 5525, 1299, 3778, 18938, 281, 23850, 454, 6124, 5623, 7689, 476, 275, 281, 7982, 547, 3427, 454, 17780, 593, 707, 1699, 1377, 540, 1480, 3854, 267, 875, 1279, 1131, 621, 1491, 596, 547, 7118, 1269, 272, 267, 1822, 267, 1822, 286, 1548, 827, 707, 1761, 1480, 3854, 286, 22996, 2263, 519, 2956, 540, 2069, 543, 1995, 950, 10024, 519, 13781, 267, 543, 5635, 2483, 278, 628, 910, 476, 1321, 628, 4569, 18938, 281, 23850, 454, 306, 28316, 1299, 645, 6563, 619, 281, 11038, 29714, 538, 519, 2136, 2276, 454, 20059, 580, 622, 519, 1699, 2883, 2344, 543, 723, 707, 1362, 2263, 9806, 267, 24228, 267, 2883, 6990, 267, 8994, 7482, 267, 543, 519, 6006, 2344, 269, 901, 2185, 12268, 3992, 568, 2966, 547, 948, 1053, 1831, 18164, 543, 5483, 6800, 563, 1015, 628, 910, 476, 1321, 628, 4569, 454, 2704, 16342, 645, 9128, 16800, 519, 1977, 7169, 454, 12441, 596, 917, 602, 1991, 547, 519, 1977, 7169, 267, 17665, 729, 513, 851, 540, 519, 3703, 10504, 543, 1572, 1715, 4639, 8419, 286, 4147, 2818, 1382, 519, 2804, 267, 2797, 267, 543, 1514, 19178, 540, 713, 8513, 543, 5635, 873, 547, 1346, 540, 2483, 280, 628, 910, 476, 1321, 628, 4317, 5525, 1299, 3778, 18938, 281, 24623, 454, 763, 19004, 538, 519, 476, 2735, 271, 338, 454, 2750, 8533, 2804, 4507, 2322, 883, 1747, 1282, 519, 31144, 7245, 269, 32167, 2812, 1224, 606, 21141, 8574, 827, 519, 476, 2735, 271, 338, 543, 519, 1764, 540, 519, 2804, 4507, 269, 1358, 1287, 4431, 547, 5722, 2055, 827, 519, 1257, 269, 6333, 2483, 279, 628, 910, 476, 1321, 628, 4317, 5525, 1299, 3778, 18938, 281, 24623, 0, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 888, 2108, 306, 15471, 568, 2047, 14354, 547, 519, 4674, 7536, 30547, 634, 2165, 16646, 1797, 556, 6716, 1944, 519, 3854, 2497, 540, 513, 2754, 1519, 519, 5786, 540, 6811, 540, 1312, 519, 23265, 543, 519, 5491, 832, 1996, 519, 2754, 269, 6270, 16646, 3622, 3587, 2556, 593, 2272, 540, 3983, 2883, 2990, 540, 519, 2754, 269, 898, 949, 581, 968, 2750, 4156, 892, 610, 968, 1103, 4156, 6100, 769, 2013, 540, 968, 2750, 4156, 892, 16646, 267, 513, 1007, 2754, 568, 4646, 547, 1491, 936, 519, 1870, 540, 606, 4540, 2754, 799, 568, 538, 3983, 2883, 2990, 269, 634, 29449, 2754, 4422, 883, 5277, 566, 1310, 9513, 922, 1870, 547, 519, 1007, 2754, 269, 29206, 2793, 299, 23414, 2177, 22552, 10813, 3582, 769, 2013, 540, 971, 16646, 267, 519, 3854, 540, 519, 2754, 568, 556, 23457, 547, 1102, 2224, 1007, 1272, 538, 519, 2754, 269, 898, 2882, 1312, 27327, 543, 5786, 540, 2671, 3854, 563, 306, 3873, 637, 540, 4130, 29559, 616, 10736, 883, 8843, 540, 3677, 29559, 269, 476, 273, 269, 634, 2165, 27327, 1697, 2882, 519, 1739, 281, 476, 272, 269, 519, 6976, 909, 3854, 540, 519, 8843, 3788, 519, 1482, 855, 519, 1297, 540, 8843, 568, 4389, 269, 5442, 290, 3918, 17955, 5508, 15562, 22664, 26480, 3951, 3201, 676, 3390, 540, 1007, 8843, 269, 589, 2754, 666, 1118, 19260, 676, 8429, 606, 8723, 6571, 269, 769, 971, 513, 2013, 269, 476, 273, 1923, 17273, 1547, 6270, 27327, 666, 581, 2944, 896, 519, 14074, 540, 590, 30708, 476, 11463, 1107, 476, 9032, 540, 519, 14992, 2920, 269, 952, 621, 779, 17101, 676, 922, 15080, 540, 5948, 269, 6270, 27327, 1590, 581, 711, 1881, 543, 513, 5299, 540, 519, 6571, 1058, 581, 19429, 609, 519, 21362, 32057, 1369, 476, 1789, 2395, 540, 519, 8429, 540, 519, 6571, 17679, 1731, 7949, 3474, 1662, 541, 476, 272, 1325, 614, 566, 540, 9523, 13317, 634, 14992, 2920, 814, 1031, 519, 2262, 968, 2704, 614, 566, 7743, 892, 585, 27327, 540, 2671, 3854, 269, 12164, 306, 5357, 2839, 9569, 5508, 5990, 12327, 3041, 16249, 15562, 2752, 2464, 883, 8843, 540, 3677, 29559, 563, 1103, 2013, 513, 2754, 666, 26118, 621, 796, 1170, 4240, 8843, 269, 12164, 309, 8991, 12778, 5508, 674, 8085, 14877, 268, 5183, 2839, 24505, 15562, 2752, 2464, 883, 5254, 8016, 298, 543, 13030, 17930, 269, 621, 1281, 711, 2154, 1022, 8051, 7127, 547, 581, 5293, 269, 769, 971, 513, 2013, 17679, 1731, 7949, 3474, 1662, 541, 476, 274, 269, 476, 275, 269, 476, 32458, 955, 268, 274, 1923, 17273, 1547, 590, 18510, 5937, 4353, 3041, 12778, 5508, 15562, 2752, 2464, 883, 8843, 540, 4130, 15523, 269, 1677, 13317, 14351, 589, 11305, 476, 276, 269, 1744, 4100, 540, 3677, 29559, 616, 10736, 883, 8843, 540, 4130, 29559, 269, 589, 2754, 666, 6460, 922, 4628, 6976, 909, 8843, 883, 6006, 610, 13030, 17930, 269, 634, 8051, 2126, 786, 581, 607, 5205, 269, 634, 17101, 2671, 3854, 786, 1631, 1796, 4389, 676, 519, 2179, 540, 796, 1170, 4240, 8843, 1631, 23545, 539, 269, 9523, 13317, 589, 11305, 3220, 269, 595, 23814, 299, 6369, 3582, 5508, 6167, 3041, 24746, 3633, 15562, 2752, 2464, 269, 519, 6976, 909, 3854, 540, 519, 8843, 3788, 519, 1482, 855, 519, 1297, 540, 8843, 4991, 2799, 563, 763, 2754, 10596, 513, 2027, 6571, 585, 4227, 922, 2671, 3854, 269, 476, 273, 269, 476, 275, 1923, 17273, 1547, 476, 274, 269, 589, 2754, 666, 2569, 922, 2671, 3854, 1152, 950, 1142, 540, 519, 1739, 2175, 616, 13854, 269, 476, 272, 17679, 1731, 7949, 3474, 1662, 541, 476, 273, 22159, 540, 9523, 13317, 589, 2754, 666, 2569, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 1625, 4802, 5066, 8108, 3684, 568, 3937, 602, 7472, 595, 8032, 5374, 9055, 11179, 856, 540, 27647, 1242, 610, 4411, 18202, 5374, 17446, 689, 8023, 267, 5309, 4221, 585, 9475, 267, 19755, 543, 5969, 563, 9199, 1027, 1394, 547, 5215, 540, 1296, 3516, 267, 20743, 610, 4054, 941, 4547, 547, 1628, 8075, 543, 519, 1292, 3334, 540, 513, 2777, 616, 18137, 1519, 1625, 331, 1231, 269, 4340, 547, 9504, 267, 968, 514, 2757, 16025, 25194, 972, 616, 1614, 2596, 2010, 540, 1625, 4802, 281, 1625, 4802, 6676, 267, 9030, 1625, 4802, 543, 1455, 1625, 4802, 6100, 1717, 267, 972, 616, 4617, 2798, 593, 11308, 8830, 331, 1231, 799, 786, 4232, 2476, 676, 1216, 610, 12961, 1310, 513, 1247, 543, 3574, 1625, 331, 1231, 3112, 3180, 1932, 1454, 5230, 8122, 902, 3248, 6533, 607, 942, 24363, 267, 1004, 2919, 6149, 610, 6405, 1625, 331, 1231, 799, 941, 2178, 2614, 543, 3180, 513, 2777, 585, 1279, 942, 267, 855, 972, 729, 513, 4161, 547, 26767, 543, 2777, 5411, 939, 320, 826, 621, 3217, 2362, 2504, 3790, 543, 519, 5411, 723, 547, 6108, 1454, 811, 982, 3574, 1625, 331, 1231, 282, 543, 849, 621, 3217, 3476, 942, 585, 26767, 547, 3888, 519, 6149, 610, 6405, 1625, 4802, 982, 11308, 282, 4061, 10024, 883, 2413, 6502, 267, 519, 6149, 610, 6405, 1625, 331, 1231, 3587, 519, 2063, 3903, 585, 4853, 610, 930, 1367, 5656, 563, 18814, 547, 519, 2362, 5092, 540, 942, 543, 2724, 538, 6149, 610, 6405, 1625, 331, 1231, 267, 543, 519, 8798, 540, 5066, 8108, 6191, 267, 5374, 1625, 331, 1231, 16668, 3007, 856, 540, 16413, 269, 13082, 1625, 331, 1231, 723, 1044, 5051, 2442, 585, 519, 5374, 7293, 5656, 1317, 789, 616, 3833, 1769, 267, 2653, 547, 3888, 543, 6691, 762, 585, 824, 5656, 3092, 267, 543, 538, 544, 867, 1716, 2053, 519, 1034, 4122, 2647, 1031, 1625, 331, 1231, 585, 5374, 4853, 2679, 610, 4776, 629, 679, 710, 1229, 2679, 616, 595, 1625, 331, 1231, 267, 2098, 1625, 331, 1231, 543, 28069, 772, 1625, 331, 1231, 1510, 1166, 1052, 13888, 22211, 616, 1031, 607, 1134, 563, 289, 4361, 4985, 540, 595, 13082, 8830, 4802, 24305, 4813, 532, 10724, 912, 12552, 547, 519, 1689, 16413, 1500, 827, 5374, 1625, 331, 1231, 267, 524, 1625, 4802, 5066, 8108, 3684, 814, 1044, 2966, 269, 901, 5066, 8108, 3684, 7472, 595, 8032, 3296, 9055, 11179, 689, 8023, 540, 519, 1570, 267, 2786, 2287, 267, 5066, 8108, 267, 5309, 4221, 585, 9475, 610, 27061, 267, 543, 1352, 2130, 269, 6145, 513, 1990, 1625, 4802, 5066, 8108, 3684, 267, 513, 2757, 524, 8756, 5066, 8108, 3684, 568, 751, 327, 322, 333, 1227, 5827, 547, 5478, 476, 277, 1114, 7306, 595, 5374, 1625, 331, 1231, 543, 519, 1689, 585, 1114, 7306, 4927, 581, 1500, 16924, 998, 519, 16369, 540, 838, 659, 619, 8704, 1063, 12902, 2645, 267, 543, 5969, 10523, 513, 324, 849, 4957, 16924, 585, 5969, 1114, 7306, 595, 9055, 563, 2026, 5066, 8108, 2029, 8441, 267, 972, 616, 1631, 13128, 2656, 1689, 5066, 8108, 3684, 585, 595, 1625, 331, 1231, 267, 610, 585, 2098, 1625, 331, 1231, 610, 585, 1312, 595, 2465, 543, 2098, 539, 5374, 1625, 331, 1231, 630, 3467, 693, 20049, 762, 524, 270, 345, 1625, 4802, 887, 331, 8108, 5672, 710, 994, 14611, 3334, 540, 513, 524, 3296, 531, 8756, 5066, 8108, 3684, 1331, 513, 8261, 1232, 334, 8814, 630, 274, 307, 2177, 338, 4390, 1070, 513, 8023, 3391, 585, 2326, 540, 1114, 7306, 267, 513, 1377, 1782, 3926, 267, 513, 4395, 17453, 5309, 4221, 585, 9475, 610, 27061, 593, 1166, 5190, 267, 5066, 8108, 851, 267, 513, 15493, 17453, 5309, 4221, 585, 9475, 610, 27061, 593, 1357, 267, 513, 17453, 5969, 585, 2759, 547, 3259, 267, 513, 623, 9448, 1852, 22277, 267, 543, 543, 513, 17453, 3282, 6802, 563, 20007, 673, 30352, 540, 595, 8830, 4802, 24305, 4813, 532, 10724, 912, 268, 1546, 1723, 8814, 281, 8261, 1232, 334, 8814, 3248, 268, 27519, 540, 1232, 334, 8814, 281, 476, 276, 570, 2177, 306, 3248, 268, 9517, 269, 540, 1232, 334, 8814, 281, 476, 21878, 268, 26392, 7825, 3248, 268, 744, 291, 269, 540, 1232, 334, 8814, 281, 476, 10219, 271, 7825, 3248, 268, 21984, 1570, 281, 1627, 20720, 8895, 7079, 1242, 5374, 16509, 610, 12019, 18202, 5374, 3248, 268, 962, 1752, 4222, 540, 6151, 2326, 281, 476, 20720, 300, 5183, 268, 24833, 300, 5183, 3248, 268, 7698, 11098, 281, 476, 273, 268, 274, 269, 273, 7825, 3248, 268, 4813, 532, 10473, 281, 476, 1724, 268, 1428, 10473, 3248, 268, 17029, 1782, 6763, 2497, 281, 8580, 2002, 1826, 3248, 268, 10724, 31108, 1796, 281, 21969, 4765, 7293, 5374, 3248, 268, 774, 1157, 332, 612, 540, 674, 877, 13082, 281, 476, 1240, 7825, 3248, 268, 24305, 8108, 3432, 281, 476, 271, 268, 1321, 332, 26553, 630, 2254, 1519, 5309, 4221, 543, 5969, 11850, 268, 7698, 540, 17029, 2401, 281, 717, 13062, 1428, 12946, 5374, 3248, 268, 1744, 10762, 7698, 281, 4400, 3446, 476, 3393, 258, 5374, 3248, 268, 18924, 2678, 540, 14788, 338, 281, 476, 3199, 7825, 3248, 268, 16359, 5295, 281, 476, 1428, 918, 310, 3248, 268, 10281, 14989, 5309, 4221, 281, 17547, 547, 24362, 3248, 268, 7698, 540, 5309, 4221, 10523, 281, 9197, 1321, 27770, 309, 5374, 3248, 268, 12338, 614, 281, 17453, 2759, 614, 543, 3247, 547, 2759, 3248, 268, 7698, 540, 5969, 10523, 281, 9197, 1321, 5374, 3248, 268, 10281, 14989, 1379, 585, 5969, 281, 476, 278, 269, 276, 298, 310, 3248, 268, 28981, 13080, 543, 9424, 281, 713, 524, 8032, 5374, 8756, 5066, 8108, 3684, 786, 2759, 519, 595, 3296, 531, 1625, 331, 1231, 8850, 4010, 607, 829, 2838, 13080, 543, 9424, 7218, 1305, 998, 519, 5905, 5496, 593, 623, 9448, 1852, 4216, 3248, 268, 6513, 1062, 281, 7754, 21319, 623, 9448, 267, 769, 591, 614, 267, 8863, 18199, 22155, 543, 15345, 1258, 1958, 18344, 282, 0, 306, 601, 330, 262, 5864, 1560, 335, 31021, 910, 772, 6352, 2842, 6891, 1040, 634, 17286, 330, 262, 5864, 610, 2201, 320, 1004, 267, 543, 1644, 11031, 267, 941, 6805, 547, 24654, 570, 20346, 1642, 674, 826, 2998, 543, 7013, 22163, 4793, 6782, 807, 269, 1358, 941, 530, 21317, 856, 4166, 1310, 519, 12625, 540, 3043, 28773, 1299, 678, 4545, 1667, 267, 5631, 998, 2068, 855, 1082, 941, 849, 32170, 8276, 6324, 1229, 676, 678, 4545, 1667, 4171, 13265, 789, 588, 1961, 563, 25938, 1640, 717, 15436, 329, 630, 29378, 8241, 264, 9632, 30622, 2426, 320, 30622, 2426, 320, 962, 684, 1575, 3907, 1095, 3660, 936, 7908, 8481, 693, 717, 592, 330, 3121, 538, 519, 8832, 24540, 781, 23172, 1335, 8092, 585, 519, 717, 12609, 476, 1001, 275, 16635, 1496, 20606, 476, 272, 268, 275, 267, 476, 1001, 275, 4940, 901, 568, 606, 2680, 1282, 799, 6805, 26880, 2671, 741, 2528, 609, 519, 2146, 607, 1134, 607, 9870, 4656, 827, 2152, 538, 5245, 781, 1699, 6805, 3609, 269, 0, 23173, 749, 5362, 2968, 2442, 538, 519, 4639, 1310, 789, 941, 4547, 936, 689, 8109, 5607, 1282, 519, 16972, 5736, 269, 634, 8768, 568, 2442, 538, 27623, 3624, 1141, 621, 9428, 3552, 543, 23327, 519, 6986, 560, 2648, 269, 1306, 609, 1034, 5810, 267, 4342, 749, 5362, 685, 4778, 2099, 1114, 10096, 563, 303, 675, 11146, 543, 6682, 749, 5362, 454, 6624, 4457, 12314, 519, 1079, 1292, 2694, 540, 519, 4342, 749, 807, 4534, 519, 24968, 543, 519, 1608, 344, 343, 267, 799, 6585, 519, 24968, 4534, 609, 513, 1762, 4807, 543, 1762, 812, 267, 6606, 269, 3807, 607, 513, 1762, 812, 14014, 543, 7028, 519, 1762, 4807, 646, 14560, 267, 519, 1608, 344, 343, 14014, 519, 24968, 269, 901, 7681, 849, 6941, 519, 4457, 3661, 602, 4342, 749, 5362, 21843, 6986, 267, 13991, 2648, 1317, 950, 519, 8768, 781, 24968, 2887, 1055, 267, 865, 1281, 519, 1608, 344, 343, 269, 901, 8984, 568, 4686, 1851, 5810, 563, 2026, 807, 543, 6519, 6682, 749, 5362, 454, 7212, 519, 4457, 12205, 1063, 4342, 749, 5362, 543, 2648, 3277, 547, 519, 8768, 538, 2489, 267, 824, 2694, 540, 5607, 3180, 2027, 4978, 827, 3043, 4342, 749, 5362, 538, 1880, 269, 769, 11114, 2528, 267, 2094, 476, 6344, 271, 14514, 267, 3043, 4342, 749, 5362, 723, 1044, 1031, 538, 12311, 26204, 1317, 789, 21843, 513, 1279, 543, 21705, 7365, 269, 2201, 519, 824, 1688, 267, 930, 1004, 538, 3567, 12314, 3043, 4342, 749, 5362, 609, 2669, 267, 865, 4758, 873, 547, 2576, 1282, 513, 1870, 5870, 568, 2219, 547, 3142, 519, 17513, 3983, 9939, 610, 8338, 563, 8448, 6399, 902, 540, 6682, 749, 5362, 454, 1103, 519, 4639, 267, 2094, 519, 16972, 5736, 267, 4342, 749, 5362, 1419, 723, 1044, 2404, 609, 6612, 543, 2648, 269, 654, 8960, 513, 4342, 749, 807, 1625, 19959, 569, 2337, 596, 1265, 513, 11509, 7649, 267, 1247, 4758, 513, 1507, 536, 537, 21103, 540, 519, 5810, 27711, 707, 15754, 585, 1776, 1268, 269, 1879, 1818, 971, 513, 536, 537, 21103, 267, 3314, 602, 11909, 4342, 749, 5362, 2099, 1279, 532, 282, 2699, 5267, 602, 519, 1268, 5036, 707, 2295, 513, 4148, 877, 267, 543, 3043, 1797, 596, 1589, 519, 824, 1268, 568, 32620, 563, 268, 17421, 15894, 6789, 302, 674, 308, 297, 3951, 288, 270, 16120, 2727, 1137, 27184, 270, 600, 3570, 2592, 270, 7476, 1399, 16103, 454, 15228, 2513, 1143, 540, 6682, 749, 807, 26540, 454, 293, 12294, 13513, 12090, 609, 3504, 10764, 267, 2687, 547, 12389, 8551, 7880, 10904, 269, 26540, 941, 1419, 5532, 547, 2038, 24587, 543, 607, 10340, 27636, 31972, 19950, 532, 12700, 6168, 519, 6682, 749, 807, 267, 519, 3557, 27003, 540, 17665, 454, 1103, 476, 4198, 280, 267, 17665, 7550, 519, 4342, 749, 807, 607, 519, 1533, 8768, 269, 6468, 2713, 538, 30215, 6019, 27490, 20243, 10682, 540, 519, 11344, 16967, 8768, 609, 1862, 0, 21357, 9502, 540, 853, 5448, 454, 1805, 5448, 281, 1323, 6679, 883, 519, 1560, 689, 519, 3544, 602, 568, 2813, 676, 513, 18874, 2529, 1830, 281, 2405, 24404, 916, 12814, 6481, 9218, 454, 8310, 32000, 5623, 281, 476, 277, 270, 280, 270, 1001, 277, 454, 21357, 9218, 26479, 589, 910, 2098, 454, 15507, 6481, 9218, 454, 268, 1548, 1772, 769, 615, 1243, 26100, 1328, 560, 15577, 888, 268, 1684, 1411, 6875, 6153, 5516, 540, 2659, 28438, 888, 268, 9669, 585, 513, 11162, 5851, 1299, 13245, 9697, 0, 763, 1353, 267, 3366, 676, 2160, 540, 19578, 3173, 543, 3370, 2228, 519, 3018, 540, 8734, 269, 476, 279, 538, 519, 7216, 9990, 540, 519, 18619, 540, 519, 2817, 9142, 540, 7070, 267, 1223, 948, 3589, 519, 10335, 540, 519, 2068, 538, 2550, 543, 949, 1291, 547, 1007, 11257, 585, 2208, 12889, 538, 1004, 609, 18435, 563, 294, 9512, 12889, 616, 1455, 538, 1004, 609, 18435, 543, 723, 1044, 30199, 267, 538, 851, 267, 593, 1970, 2157, 540, 519, 2208, 1790, 668, 7627, 9449, 1572, 7378, 6438, 2208, 3815, 476, 272, 630, 5456, 293, 272, 1040, 27603, 267, 519, 22926, 543, 5761, 6553, 602, 13173, 18435, 723, 1044, 30199, 585, 519, 8519, 2157, 540, 594, 24427, 272, 269, 1717, 267, 1256, 2550, 945, 616, 5266, 2635, 1419, 798, 711, 3914, 741, 2407, 2208, 1761, 267, 543, 29507, 609, 18435, 1419, 616, 4130, 693, 4332, 982, 2635, 9002, 563, 2414, 8495, 519, 2078, 1063, 30564, 594, 24427, 272, 2157, 543, 2208, 3270, 538, 18435, 267, 519, 1382, 2319, 6594, 20169, 14918, 609, 513, 18435, 27351, 6748, 5444, 15817, 269, 901, 3662, 2203, 267, 799, 729, 6383, 676, 519, 30892, 3173, 543, 9164, 693, 519, 2160, 540, 16713, 538, 476, 1220, 279, 267, 814, 1082, 540, 519, 1482, 2589, 543, 8374, 602, 616, 2938, 538, 3425, 609, 18435, 563, 257, 3528, 6313, 594, 24427, 272, 693, 713, 942, 1448, 267, 649, 17515, 4539, 540, 5761, 6553, 267, 799, 568, 15534, 693, 4332, 267, 543, 22926, 267, 1317, 6484, 538, 14685, 334, 568, 3177, 676, 519, 3993, 2437, 6045, 2274, 1695, 1234, 345, 23364, 990, 267, 1912, 6185, 1421, 30892, 2022, 4777, 28118, 8284, 538, 4835, 4915, 543, 1071, 23867, 2278, 540, 519, 1353, 269, 834, 2171, 1336, 602, 594, 24427, 272, 2157, 941, 3648, 4389, 693, 4332, 538, 18435, 20169, 14918, 4799, 1103, 1840, 267, 519, 30892, 3173, 1336, 602, 20169, 18435, 14918, 1185, 10156, 267, 4130, 7633, 982, 14918, 1510, 18435, 11021, 602, 8519, 594, 24427, 272, 2157, 616, 2404, 609, 519, 2208, 12889, 267, 543, 602, 594, 24427, 272, 2157, 949, 581, 4389, 1256, 1354, 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 ]
[ 6212, 593, 519, 1514, 270, 655, 10899, 1134, 1373, 540, 1053, 998, 18532, 2146, 2679, 2238, 269, 4841, 945, 1995, 5046, 1644, 1514, 270, 655, 10899, 12490, 786, 581, 6462, 676, 513, 1153, 24468, 538, 1840, 547, 2324, 607, 4928, 2950, 547, 1628, 1514, 543, 3929, 1983, 269, 15858, 14245, 676, 519, 1153, 18673, 786, 3077, 1808, 2152, 602, 8451, 1369, 4928, 2950, 971, 607, 1620, 3604, 610, 21463, 543, 875, 789, 949, 1764, 2043, 543, 519, 1895, 607, 513, 2898, 269, 634, 3804, 568, 547, 1683, 1053, 2645, 547, 1628, 1514, 543, 3929, 6043, 538, 519, 3068, 540, 5046, 2591, 543, 3564, 269, 15465, 19884, 10657, 786, 581, 1031, 950, 513, 1808, 2875, 814, 513, 5868, 4857, 676, 519, 1153, 18673, 602, 3340, 835, 6823, 14633, 13508, 7886, 563, 763, 10682, 540, 519, 25256, 1770, 786, 1489, 519, 3506, 9837, 547, 1683, 1565, 5624, 602, 11574, 519, 3262, 540, 5046, 543, 824, 2011, 23899, 10108, 269, 0, 2750, 343, 517, 300, 984, 559, 10953, 3608, 1007, 2029, 547, 13204, 3433, 2067, 3154, 454, 268, 3115, 637, 757, 513, 1900, 268, 4219, 538, 4398, 543, 1713, 5786, 538, 10512, 11640, 454, 268, 12025, 267, 2597, 543, 1942, 540, 2067, 3154, 18024, 4389, 585, 2244, 2861, 543, 21369, 4238, 454, 268, 5303, 13931, 547, 590, 592, 10045, 585, 5010, 3498, 2066, 519, 2872, 454, 763, 1007, 2029, 267, 2919, 543, 14916, 2361, 2389, 6479, 676, 1401, 343, 517, 300, 984, 559, 267, 811, 7561, 18788, 1216, 11517, 1459, 1282, 519, 2504, 540, 2067, 3154, 269, 3816, 8221, 1216, 11517, 998, 519, 946, 540, 18024, 2029, 267, 3335, 12913, 1210, 1804, 543, 7199, 18024, 20610, 267, 6971, 14809, 543, 3937, 13779, 4543, 547, 2327, 519, 2922, 543, 3608, 3560, 540, 2067, 3154, 998, 519, 3761, 5989, 543, 6038, 547, 6800, 563, 322, 300, 8780, 6971, 519, 2450, 267, 2597, 543, 1942, 540, 18024, 267, 4611, 538, 20214, 540, 2627, 11640, 676, 476, 3583, 2600, 543, 519, 2949, 18024, 1062, 779, 2597, 676, 3368, 267, 799, 814, 1713, 3773, 2640, 593, 21369, 3156, 563, 2108, 3528, 16107, 938, 2872, 6122, 8172, 1995, 609, 25318, 3156, 267, 938, 3173, 941, 2111, 547, 1711, 713, 4359, 2067, 3154, 18024, 2029, 267, 799, 4564, 513, 1900, 268, 4219, 538, 10512, 4398, 543, 513, 1713, 5786, 538, 11640, 2223, 1767, 8751, 5576, 340, 612, 2401, 267, 7022, 540, 1401, 343, 517, 300, 984, 559, 5455, 6894, 3194, 7577, 563, 2750, 343, 517, 300, 984, 559, 779, 524, 300, 8780, 2029, 12346, 593, 513, 28106, 17366, 339, 11718, 547, 2736, 909, 6671, 19857, 883, 6263, 20256, 602, 1831, 1134, 24797, 538, 519, 3154, 2095, 7551, 2810, 519, 2627, 1858, 585, 519, 10338, 540, 1216, 689, 519, 3154, 269, 901, 568, 4553, 676, 606, 538, 1467, 3021, 1807, 602, 1071, 2297, 806, 519, 1216, 11656, 28340, 20256, 543, 7575, 873, 547, 519, 3544, 3774, 540, 519, 10612, 585, 2500, 9668, 689, 519, 13204, 3603, 2067, 3154, 269, 634, 1216, 11656, 28340, 568, 1036, 10273, 730, 1210, 513, 6671, 1062, 543, 568, 2366, 1394, 547, 519, 17366, 339, 11718, 547, 581, 1031, 1586, 269, 634, 17366, 339, 11718, 3096, 519, 1648, 689, 519, 13576, 2067, 3154, 547, 1711, 20256, 540, 519, 1318, 2450, 563, 2750, 343, 517, 300, 984, 559, 814, 13931, 524, 300, 8780, 2029, 547, 519, 6314, 27700, 6498, 540, 590, 592, 10045, 267, 513, 3056, 6345, 538, 9668, 4066, 267, 547, 7520, 17293, 2066, 519, 3282, 543, 3154, 2872, 563, 14071, 616, 10583, 547, 723, 1044, 5697, 607, 5001, 12600, 12689, 324, 540, 519, 524, 300, 8780, 2029, 267, 799, 2882, 938, 31601, 11741, 19743, 8110, 12814, 538, 1467, 3021, 1807, 2223, 1767, 8776, 22978, 15604, 3455, 4614, 267, 7022, 540, 519, 6314, 27700, 6498, 269, 968, 2171, 1413, 4464, 547, 1425, 6005, 519, 3282, 543, 3154, 2872, 609, 713, 2189, 2029, 267, 3850, 585, 1454, 2877, 20214, 538, 3854, 24723, 585, 1312, 3039, 7615, 3785, 543, 4540, 6703, 5275, 6960, 7615, 3181, 2714, 331, 2940, 9535, 3255, 269, 524, 300, 8780, 2029, 1264, 906, 519, 590, 592, 10045, 1899, 540, 11741, 3818, 25686, 9668, 4066, 543, 786, 11694, 2640, 2139, 547, 3282, 1299, 3154, 5665, 3549, 1472, 519, 1158, 3034, 2750, 343, 517, 300, 984, 559, 779, 20279, 2861, 5455, 6894, 3194, 7577, 543, 1715, 14948, 2861, 1401, 343, 517, 300, 984, 559, 3194, 543, 7177, 6498, 1020, 513, 2039, 540, 5499, 4066, 6322, 693, 6721, 1648, 811, 7561, 269, 634, 1079, 3906, 2308, 811, 982, 476, 272, 267, 1822, 12854, 3744, 543, 8030, 563, 2750, 343, 517, 300, 984, 559, 267, 519, 4102, 15597, 21775, 3486, 3282, 543, 3154, 2754, 267, 568, 513, 6205, 538, 3384, 543, 7311, 2029, 547, 7753, 2518, 1648, 2591, 269, 1401, 343, 517, 300, 984, 559, 6585, 606, 2872, 6122, 8172, 11891, 540, 1648, 2200, 267, 568, 1851, 519, 4102, 1201, 29794, 543, 2344, 619, 540, 19386, 2472, 543, 922, 3114, 2754, 568, 835, 540, 519, 4102, 538, 519, 1158, 269, 1280, 811, 1344, 267, 3643, 8940, 20216, 343, 517, 332, 984, 559, 2593, 610, 1246, 721, 593, 12108, 8940, 6745, 342, 7867, 2593, 270, 1410, 343, 517, 332, 984, 559, 563, 306, 592, 10045, 267, 2212, 32483, 1229, 538, 15604, 11037, 267, 16848, 267, 2094, 476, 8146, 275, 267, 24870, 538, 23028, 3435, 267, 15914, 3937, 5826, 543, 2533, 607, 1134, 607, 9668, 267, 5114, 267, 543, 11544, 2029, 269, 11426, 619, 4324, 689, 4359, 3435, 543, 2533, 538, 519, 4610, 540, 1184, 2029, 543, 9668, 3937, 267, 607, 1134, 607, 1079, 16327, 9426, 11544, 543, 7006, 14819, 1949, 269, 4039, 4192, 3028, 2035, 948, 590, 592, 10045, 547, 2226, 922, 3056, 2990, 538, 922, 2344, 12415, 269, 634, 2754, 5932, 6325, 543, 4264, 3435, 585, 922, 1883, 6990, 281, 3282, 543, 3154, 267, 1379, 267, 1216, 543, 5697, 6080, 269, 590, 592, 10045, 5713, 5561, 1472, 519, 1158, 998, 513, 3060, 540, 936, 476, 10204, 2504, 543, 3028, 4609, 543, 814, 513, 2178, 11640, 538, 6932, 6990, 269, 769, 476, 1001, 276, 267, 519, 2754, 6913, 6455, 540, 10199, 8863, 293, 476, 274, 5479, 609, 1472, 476, 1691, 476, 1822, 5520, 269, 8940, 4732, 592, 10045, 2593, 454, 25519, 1081, 776, 15048, 281, 32276, 540, 2104, 2621, 610, 2175, 538, 713, 5305, 616, 4464, 23302, 6898, 269, 2920, 783, 2104, 2164, 267, 1519, 519, 1764, 543, 2164, 540, 1007, 4066, 267, 1223, 4268, 4470, 593, 519, 1967, 540, 6725, 543, 24416, 3646, 282, 519, 6364, 540, 5010, 16395, 282, 519, 1646, 543, 28211, 540, 4244, 4066, 282, 2797, 543, 9431, 7835, 282, 543, 824, 2188, 5941, 538, 713, 5305, 543, 896, 519, 16144, 968, 26502, 18748, 532, 8892, 11778, 892, 593, 519, 7767, 832, 2985, 540, 1401, 343, 517, 300, 984, 559, 779, 3896, 693, 608, 343, 517, 332, 984, 559, 2593, 563, 14276, 7577, 6176, 281, 12924, 10345, 281, 311, 6865, 454, 23086, 281, 1401, 343, 517, 300, 984, 559, 9012, 9534, 267, 1341, 272, 476, 279, 3953, 268, 27698, 268, 6110, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1287, 4945, 7046, 547, 1921, 547, 519, 13891, 1014, 476, 1015, 5691, 3684, 593, 589, 16703, 912, 1428, 269, 1879, 596, 2461, 4448, 267, 519, 3593, 568, 14721, 543, 519, 1780, 874, 19189, 568, 519, 1883, 596, 8655, 950, 14291, 519, 4357, 1883, 1210, 10658, 22721, 312, 2102, 912, 1626, 269, 8921, 267, 946, 519, 1739, 12981, 547, 9337, 519, 12380, 5691, 3684, 543, 3888, 27707, 912, 333, 26138, 282, 338, 30186, 19038, 9337, 454, 611, 2381, 287, 760, 268, 15094, 268, 4029, 268, 736, 268, 3393, 281, 349, 259, 521, 30186, 19038, 22010, 454, 611, 2381, 287, 760, 268, 15094, 268, 4029, 268, 736, 268, 3393, 281, 349, 259, 521, 30186, 19038, 3888, 575, 527, 454, 1704, 269, 8921, 267, 946, 519, 1739, 12981, 547, 804, 821, 519, 27707, 29878, 23789, 540, 570, 6261, 582, 267, 513, 1863, 543, 1930, 2707, 9932, 13607, 3760, 912, 333, 26138, 282, 326, 527, 804, 821, 4179, 2517, 326, 603, 889, 2593, 270, 974, 548, 330, 558, 5498, 2579, 14121, 13607, 576, 454, 1240, 269, 8921, 267, 946, 519, 1739, 12981, 547, 1689, 707, 2324, 15682, 912, 763, 1739, 6256, 2982, 972, 779, 606, 3888, 518, 7097, 1369, 519, 1459, 15682, 912, 866, 269, 8921, 267, 946, 519, 1739, 12981, 547, 3888, 570, 6261, 582, 593, 707, 5691, 3684, 912, 333, 26138, 282, 338, 30186, 1547, 270, 13318, 718, 11075, 1107, 6943, 284, 12528, 454, 736, 269, 634, 1739, 6885, 786, 2408, 267, 2824, 5254, 13263, 19181, 543, 5734, 9373, 912, 2641, 269, 8921, 267, 1305, 513, 1357, 3593, 2012, 543, 5734, 9373, 912, 2420, 269, 1411, 786, 991, 547, 6166, 519, 27024, 568, 4977, 543, 5734, 9373, 547, 3136, 563, 2537, 269, 4762, 2682, 513, 10957, 585, 519, 27024, 543, 5734, 9373, 547, 3136, 563, 2190, 269, 589, 3803, 21533, 6885, 786, 2408, 267, 3274, 5734, 9373, 610, 962, 547, 3136, 519, 10380, 912, 5629, 519, 10380, 568, 6192, 519, 1062, 786, 6450, 2393, 8850, 912, 1839, 269, 10361, 593, 936, 547, 707, 589, 16703, 3236, 2985, 585, 519, 5691, 3684, 267, 20801, 1524, 547, 2824, 8232, 543, 4945, 593, 519, 8232, 6828, 912, 2918, 269, 2201, 519, 8232, 6828, 2985, 267, 4945, 593, 22478, 538, 20129, 3652, 912, 2767, 269, 17797, 519, 3354, 3652, 547, 519, 1739, 4170, 912, 268, 3550, 596, 6615, 27427, 2823, 476, 5038, 273, 11463, 547, 1450, 1520, 2381, 1569, 1152, 689, 707, 2707, 7379, 2232, 563, 268, 3550, 596, 6615, 27427, 2823, 476, 5038, 273, 4817, 547, 1450, 9399, 295, 1569, 1152, 689, 707, 2707, 7379, 2232, 563, 268, 3550, 596, 6615, 27427, 2823, 476, 5038, 273, 9032, 547, 1450, 519, 1357, 8818, 1569, 1152, 689, 707, 2707, 7379, 2232, 563, 268, 4762, 2682, 27427, 16788, 476, 272, 1107, 476, 25953, 876, 593, 7379, 341, 275, 543, 7379, 341, 277, 547, 1450, 3388, 3116, 689, 519, 4950, 563, 763, 1739, 6256, 2982, 875, 519, 3652, 616, 547, 581, 27358, 543, 10710, 912, 2764, 269, 8921, 267, 1930, 707, 1357, 11422, 543, 979, 4179, 2517, 281, 5038, 273, 9032, 543, 2845, 2987, 609, 519, 3593, 2272, 267, 596, 786, 581, 2699, 20526, 547, 519, 1739, 21686, 4580, 267, 3274, 4945, 593, 918, 756, 3570, 912, 3066, 269, 8921, 267, 4945, 593, 3436, 570, 6261, 582, 607, 3254, 2630, 912, 763, 1739, 2982, 782, 519, 2661, 6937, 543, 6880, 31281, 2931, 799, 616, 9571, 676, 938, 9932, 13607, 912, 763, 3476, 596, 4734, 519, 9932, 13607, 4881, 593, 519, 4950, 267, 519, 811, 1239, 621, 568, 2469, 547, 5531, 543, 1683, 3308, 6041, 540, 519, 6937, 593, 519, 4950, 269, 5901, 538, 2247, 267, 519, 5691, 3684, 593, 589, 16703, 568, 1373, 9901, 1759, 593, 707, 6165, 269, 4475, 267, 952, 596, 616, 711, 1210, 513, 3028, 593, 589, 16703, 267, 596, 1058, 3247, 610, 2165, 3729, 621, 547, 2569, 519, 10997, 547, 707, 5491, 3556, 269, 0, 10907, 27854, 1603, 568, 513, 3318, 2511, 540, 1603, 602, 568, 1419, 6964, 538, 12621, 543, 4081, 12326, 547, 5968, 1344, 269, 14288, 1557, 1603, 568, 513, 2838, 4081, 1788, 585, 782, 1053, 267, 7488, 540, 741, 2361, 540, 1353, 610, 3872, 9872, 269, 1323, 4081, 1557, 568, 513, 3102, 4062, 540, 1603, 602, 10953, 513, 1523, 610, 4661, 676, 9001, 2963, 267, 2079, 267, 543, 7664, 547, 1489, 513, 1808, 1888, 563, 2026, 513, 2875, 267, 596, 949, 581, 2838, 547, 2328, 513, 3099, 540, 1114, 12204, 540, 4081, 3594, 269, 1411, 1058, 946, 17096, 2638, 518, 2645, 547, 2057, 17096, 538, 707, 1557, 269, 1809, 1018, 616, 519, 1655, 2081, 547, 1491, 891, 17950, 543, 1118, 707, 960, 1796, 856, 689, 519, 15624, 286, 634, 1543, 543, 3259, 540, 606, 1557, 616, 5462, 676, 707, 4081, 1377, 267, 519, 1641, 540, 1353, 267, 543, 707, 1576, 4170, 269, 1703, 1058, 581, 606, 4367, 267, 513, 1560, 540, 5885, 1344, 267, 543, 513, 3932, 28388, 519, 2963, 596, 723, 4843, 269, 1656, 1411, 1058, 946, 17096, 2638, 518, 2645, 547, 2057, 17096, 538, 707, 1557, 563, 2690, 930, 1053, 267, 1603, 513, 1101, 4081, 1557, 568, 2653, 1175, 1317, 540, 741, 2259, 269, 2986, 1576, 267, 2259, 2306, 3501, 269, 4014, 18864, 15055, 547, 1451, 689, 741, 6959, 267, 1373, 3222, 540, 519, 1034, 2629, 13121, 543, 1810, 685, 1206, 540, 1557, 1603, 666, 4217, 538, 1818, 519, 1184, 1447, 17173, 543, 811, 4829, 995, 585, 3025, 3238, 563, 1692, 547, 2328, 519, 1101, 4081, 1557, 888, 16240, 4081, 3594, 568, 513, 13007, 602, 786, 4196, 596, 1134, 2429, 707, 4876, 543, 2123, 1272, 563, 2691, 1603, 1870, 5022, 267, 9746, 1509, 657, 267, 543, 6725, 2326, 585, 707, 3549, 543, 3906, 267, 519, 2702, 547, 10891, 707, 4555, 267, 1175, 899, 596, 798, 950, 1603, 4081, 3594, 267, 786, 581, 1271, 563, 13981, 519, 2596, 3334, 540, 606, 1557, 666, 948, 596, 1711, 1732, 3594, 538, 519, 2104, 269, 3371, 616, 476, 276, 3268, 998, 799, 596, 666, 3362, 1711, 606, 2500, 7291, 563, 268, 3689, 267, 2328, 513, 5098, 543, 519, 3483, 540, 519, 4081, 1557, 269, 6969, 596, 2253, 1603, 267, 596, 1590, 1101, 2097, 909, 609, 513, 1641, 547, 2328, 827, 563, 268, 2991, 602, 267, 596, 723, 547, 2328, 513, 2140, 269, 17292, 513, 1434, 2140, 585, 707, 1557, 602, 9356, 519, 1292, 1888, 540, 707, 1557, 563, 268, 634, 3791, 1900, 568, 547, 2328, 606, 4367, 269, 1323, 4367, 568, 707, 2034, 6574, 1259, 547, 10544, 707, 5467, 779, 3007, 1310, 707, 2140, 269, 898, 568, 835, 5618, 5037, 267, 1100, 811, 982, 513, 8360, 610, 1079, 267, 538, 799, 596, 3715, 707, 5098, 543, 6338, 707, 5467, 547, 519, 1641, 2339, 563, 268, 769, 519, 1557, 779, 1560, 267, 596, 1628, 707, 9661, 610, 5098, 269, 2659, 4967, 1058, 581, 12006, 609, 513, 1164, 331, 7660, 1310, 3257, 707, 1382, 543, 2348, 1082, 3817, 540, 4967, 563, 268, 634, 3932, 540, 707, 1557, 1058, 581, 519, 3803, 5037, 540, 707, 1957, 269, 769, 1840, 547, 1373, 13151, 3307, 267, 707, 3932, 1590, 979, 2047, 547, 707, 4367, 563, 276, 4388, 585, 1101, 4081, 1557, 454, 272, 269, 8073, 513, 11315, 7291, 454, 6524, 596, 2253, 1603, 267, 1118, 513, 1592, 540, 519, 3584, 543, 5705, 641, 923, 596, 1616, 547, 2328, 827, 269, 898, 568, 2565, 547, 5693, 1174, 1018, 596, 1616, 547, 5838, 1354, 596, 2253, 1603, 606, 1557, 563, 21430, 513, 2241, 7291, 1354, 596, 2253, 1603, 707, 1557, 568, 519, 2656, 652, 543, 1034, 2500, 1505, 540, 32560, 1524, 513, 1641, 543, 3384, 513, 2178, 4661, 563, 10907, 27854, 3594, 723, 513, 2596, 2497, 602, 2882, 519, 1739, 3334, 281, 606, 4367, 602, 3568, 713, 1482, 5098, 282, 519, 1560, 540, 519, 1557, 267, 799, 2882, 4625, 5094, 5220, 7234, 2963, 5885, 519, 5098, 282, 543, 513, 3932, 602, 25907, 621, 782, 1927, 25907, 621, 547, 519, 5098, 454, 763, 4341, 540, 14853, 950, 621, 2501, 547, 875, 1454, 6169, 1058, 581, 3177, 538, 606, 4081, 1557, 568, 547, 1331, 693, 2547, 1614, 2178, 7440, 602, 2047, 1489, 707, 5098, 563, 273, 269, 3689, 1711, 513, 1951, 9853, 454, 17730, 606, 5140, 4081, 1557, 3217, 513, 1390, 4308, 540, 942, 543, 4674, 267, 799, 568, 1946, 596, 1058, 2760, 10505, 707, 1101, 8908, 563, 2414, 2253, 267, 2721, 1524, 513, 11315, 8908, 540, 707, 4555, 547, 1544, 873, 856, 269, 6333, 1210, 1114, 4485, 547, 4217, 596, 1282, 519, 1603, 3942, 281, 2247, 7851, 610, 2095, 577, 11301, 616, 2442, 5079, 585, 1082, 2043, 563, 2791, 786, 1265, 621, 12863, 547, 8831, 707, 6811, 1310, 596, 723, 519, 5934, 30304, 538, 1747, 547, 1489, 707, 5098, 3948, 563, 1607, 568, 519, 3942, 693, 799, 707, 4081, 1557, 1058, 2253, 547, 1491, 1106, 269, 2991, 596, 723, 8737, 1603, 267, 596, 1058, 979, 1394, 936, 621, 543, 1118, 1022, 2556, 2242, 547, 519, 2453, 543, 2497, 563, 274, 269, 3503, 707, 2798, 538, 513, 2312, 543, 13801, 1259, 454, 2691, 1603, 606, 4081, 1557, 267, 1832, 538, 2247, 602, 519, 1557, 779, 3804, 568, 547, 679, 13097, 2864, 982, 23666, 563, 2005, 568, 6225, 547, 8415, 2312, 267, 10750, 1893, 1247, 1603, 4081, 3594, 2094, 789, 2307, 596, 547, 3382, 7294, 4798, 1369, 513, 1978, 2262, 3970, 267, 713, 6087, 596, 547, 5968, 707, 5784, 5693, 1510, 14845, 610, 13587, 1516, 3988, 538, 1022, 1259, 563, 10112, 2541, 602, 707, 13588, 616, 4625, 14542, 609, 707, 1641, 2339, 563, 1607, 19329, 602, 596, 3382, 782, 540, 519, 4909, 1702, 827, 707, 3390, 267, 865, 9319, 519, 2757, 1966, 540, 4742, 1932, 2930, 1932, 3533, 563, 22879, 1210, 2095, 2044, 1893, 610, 21179, 908, 267, 543, 3079, 1445, 593, 519, 5013, 1107, 707, 14357, 786, 5660, 596, 585, 621, 563, 275, 269, 27375, 543, 13129, 454, 5475, 1603, 782, 519, 1883, 2798, 543, 7440, 267, 596, 849, 1118, 2386, 596, 4704, 707, 5885, 2963, 14013, 2687, 547, 519, 4143, 2511, 630, 324, 3052, 1421, 595, 5960, 267, 14905, 267, 17090, 1916, 1103, 14363, 14327, 1118, 707, 960, 3100, 796, 2889, 32216, 543, 3142, 707, 17258, 883, 8969, 269, 1403, 3988, 3605, 6959, 538, 1945, 607, 2653, 607, 513, 4704, 267, 789, 616, 2693, 547, 581, 8969, 995, 540, 519, 14230, 540, 707, 1543, 563, 5522, 698, 14705, 568, 513, 4049, 3390, 538, 519, 4081, 1158, 267, 799, 3340, 3007, 269, 898, 779, 585, 713, 2601, 602, 596, 1058, 2141, 13712, 707, 24185, 267, 556, 874, 19189, 21687, 2093, 267, 543, 2057, 25718, 2407, 3515, 610, 9433, 689, 824, 1004, 779, 960, 563, 2791, 1058, 849, 973, 515, 1188, 707, 2959, 676, 9683, 18019, 7270, 543, 2357, 4328, 519, 1344, 563, 2005, 568, 849, 519, 2601, 1946, 1169, 15938, 2875, 1590, 1451, 875, 547, 13712, 2959, 7157, 563, 763, 7073, 5678, 5948, 630, 300, 6369, 264, 543, 9628, 15015, 540, 13910, 630, 290, 5960, 1070, 543, 519, 1977, 16723, 5948, 630, 4338, 288, 264, 616, 519, 1614, 1034, 14916, 1031, 11239, 6163, 538, 24243, 563, 763, 1383, 540, 513, 11239, 538, 14905, 3898, 666, 581, 2938, 2630, 454, 1103, 971, 513, 2013, 267, 707, 32082, 1058, 1683, 5583, 282, 1118, 1978, 602, 596, 1174, 543, 2936, 621, 3927, 538, 707, 1101, 4081, 2376, 563, 276, 269, 19577, 1348, 707, 1557, 454, 27893, 15105, 568, 1776, 1271, 9133, 538, 1603, 4081, 3594, 267, 799, 9356, 707, 1101, 1557, 4724, 519, 3803, 3942, 563, 2026, 4166, 607, 596, 723, 8737, 1603, 267, 1491, 513, 2736, 543, 1287, 2132, 547, 519, 6169, 15105, 1184, 609, 4195, 4064, 543, 2634, 563, 3383, 267, 538, 519, 1184, 267, 596, 723, 547, 5635, 707, 3803, 4081, 1557, 609, 519, 7291, 596, 2813, 4505, 547, 1294, 2436, 596, 6913, 519, 3804, 596, 1305, 585, 3054, 950, 1603, 621, 563, 13014, 513, 1592, 540, 782, 540, 519, 2042, 602, 723, 1044, 4857, 269, 3417, 4408, 543, 2474, 602, 596, 5781, 21568, 610, 11963, 27235, 267, 607, 1134, 607, 21342, 6959, 602, 596, 3479, 593, 513, 2834, 4493, 1282, 1603, 563, 305, 699, 611, 707, 960, 3875, 2053, 267, 9878, 2673, 3007, 547, 519, 1919, 593, 707, 1592, 1142, 942, 596, 798, 865, 563, 12234, 267, 596, 949, 723, 513, 22973, 3791, 1268, 267, 971, 607, 513, 1362, 22940, 610, 513, 9972, 267, 547, 556, 1348, 543, 16472, 707, 1101, 1557, 563, 288, 1101, 6066, 5467, 949, 3713, 519, 6959, 596, 26777, 269, 1358, 616, 849, 5827, 540, 8744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 3425, 616, 2141, 8049, 547, 1265, 1007, 1919, 269, 6787, 621, 568, 827, 4466, 513, 1007, 2249, 540, 606, 3662, 610, 11488, 513, 14361, 547, 1776, 4541, 267, 649, 723, 6836, 3592, 3388, 547, 917, 519, 4763, 540, 519, 7122, 269, 634, 1158, 779, 1101, 5841, 9682, 729, 9250, 538, 476, 4198, 278, 676, 519, 8168, 5742, 269, 2991, 602, 267, 513, 1297, 540, 28525, 941, 9250, 883, 519, 2230, 269, 3371, 616, 2947, 540, 519, 6574, 10781, 540, 519, 18495, 538, 519, 2230, 563, 272, 269, 3689, 5274, 538, 6611, 281, 590, 2056, 606, 30313, 2740, 14361, 883, 519, 2230, 729, 513, 1114, 3364, 267, 855, 11488, 513, 1480, 14281, 3025, 538, 476, 3422, 272, 269, 962, 1722, 589, 269, 717, 698, 18288, 729, 519, 1101, 812, 538, 2230, 269, 1261, 729, 5645, 676, 966, 739, 758, 476, 272, 14361, 269, 898, 729, 519, 1101, 1480, 2230, 325, 2775, 563, 273, 269, 8092, 532, 593, 634, 9855, 281, 7201, 519, 8168, 5742, 779, 700, 10044, 10872, 267, 700, 10044, 476, 280, 729, 2366, 883, 2230, 547, 2244, 593, 519, 7599, 269, 769, 476, 3422, 277, 267, 519, 16785, 6707, 15354, 593, 519, 3618, 779, 1152, 2067, 9682, 563, 274, 269, 3689, 5274, 593, 634, 9855, 281, 1703, 1131, 711, 581, 513, 2582, 1268, 593, 519, 3618, 945, 3085, 1406, 827, 29484, 28226, 269, 634, 1977, 16106, 729, 519, 1101, 812, 945, 15336, 593, 519, 7599, 538, 476, 3422, 280, 563, 275, 269, 634, 26931, 6611, 23571, 630, 295, 4306, 2567, 634, 2230, 16263, 729, 9250, 538, 476, 1960, 271, 609, 606, 2832, 547, 723, 513, 2620, 2070, 540, 2230, 543, 942, 269, 4595, 922, 10131, 267, 519, 16263, 7000, 1896, 4277, 543, 9670, 3364, 827, 519, 7122, 563, 276, 269, 12726, 540, 589, 3122, 1355, 281, 6168, 476, 1321, 1296, 3516, 267, 3567, 9250, 513, 14361, 267, 15917, 16086, 320, 267, 547, 1353, 606, 20503, 269, 769, 476, 1001, 271, 267, 519, 14361, 8120, 547, 519, 3618, 609, 930, 5439, 689, 519, 20503, 269, 0, 310, 5085, 4596, 10933, 9215, 14160, 19798, 21450, 2336, 12218, 476, 272, 568, 6026, 676, 6004, 269, 4446, 21884, 593, 513, 11728, 267, 13638, 543, 13723, 267, 15029, 11427, 269, 17828, 11414, 519, 1362, 593, 513, 13628, 543, 11016, 269, 7323, 24434, 568, 609, 519, 1362, 1169, 1554, 563, 5978, 18027, 1554, 568, 513, 13723, 267, 855, 5225, 1223, 519, 1453, 3142, 538, 741, 6539, 1169, 1554, 267, 607, 972, 949, 581, 14026, 950, 621, 781, 2877, 563, 25444, 1058, 3142, 513, 2542, 1433, 1753, 609, 873, 1169, 1554, 269, 898, 1131, 581, 5363, 952, 596, 5873, 707, 1126, 1169, 3781, 563, 9213, 267, 649, 723, 1044, 834, 14708, 31750, 856, 540, 2470, 781, 5898, 257, 630, 1729, 10839, 835, 540, 938, 1362, 26695, 2171, 4553, 5528, 547, 1118, 28816, 31750, 269, 1284, 6743, 585, 519, 834, 321, 1601, 344, 257, 13450, 547, 2995, 721, 1018, 547, 798, 267, 1287, 5402, 3773, 1919, 1336, 1472, 519, 1153, 547, 948, 721, 3132, 938, 31750, 269, 6733, 693, 930, 540, 938, 960, 2336, 8923, 4945, 593, 519, 3095, 2630, 547, 1265, 856, 811, 827, 938, 1888, 563, 1607, 2165, 267, 938, 1888, 3459, 609, 513, 3643, 547, 519, 23452, 25052, 540, 4477, 10247, 269, 634, 1453, 1185, 513, 9735, 942, 3695, 519, 12406, 543, 4466, 856, 827, 2470, 563, 16100, 856, 519, 585, 938, 1362, 7725, 602, 723, 1044, 6456, 1472, 519, 1153, 269, 1403, 596, 1265, 835, 267, 1577, 721, 917, 593, 519, 11525, 639, 32520, 9365, 2985, 610, 2995, 721, 538, 519, 1153, 256, 0, 310, 5085, 4596, 10933, 9215, 14160, 19798, 674, 25893, 454, 8923, 4945, 519, 4216, 2630, 547, 1294, 1018, 938, 1888, 543, 1565, 786, 581, 713, 3368, 3856, 2336, 14154, 910, 3776, 18027, 1554, 568, 8946, 7838, 306, 31165, 2705, 267, 649, 7662, 602, 18027, 20164, 616, 538, 1153, 1142, 1554, 865, 602, 649, 666, 7369, 938, 11865, 2687, 547, 519, 4365, 563, 29094, 910, 1306, 609, 519, 1964, 540, 6206, 8609, 476, 273, 267, 649, 1305, 938, 6780, 593, 11016, 543, 713, 568, 1813, 1394, 538, 593, 13638, 269, 3776, 6780, 8630, 8255, 1169, 11728, 12899, 5503, 563, 11386, 4147, 7741, 910, 7490, 2638, 5616, 4147, 7741, 12353, 281, 972, 616, 6402, 547, 1565, 3756, 910, 8691, 3756, 543, 1888, 1759, 7270, 543, 13334, 6402, 563, 3383, 2484, 649, 723, 2483, 1532, 8696, 10272, 676, 4460, 781, 18206, 910, 1018, 606, 5863, 1995, 1862, 513, 16266, 534, 14986, 17178, 267, 8738, 332, 3150, 9226, 267, 513, 6895, 561, 19123, 543, 606, 3979, 2699, 19481, 22559, 2336, 32734, 3812, 606, 9237, 22281, 630, 21459, 540, 5729, 476, 276, 22556, 8627, 264, 602, 616, 593, 4159, 538, 519, 4928, 2336, 32734, 723, 1305, 909, 513, 30011, 3395, 4603, 630, 322, 2642, 538, 513, 9126, 547, 2569, 2011, 267, 538, 513, 4158, 1747, 267, 1114, 5666, 540, 1216, 267, 1114, 5210, 540, 1216, 1862, 994, 268, 649, 723, 6743, 693, 519, 1272, 9979, 540, 11864, 910, 649, 782, 19927, 1007, 1919, 2336, 292, 1375, 18413, 11864, 286, 1733, 2297, 616, 11864, 543, 711, 3165, 286, 1703, 616, 476, 274, 2516, 540, 11864, 888, 8005, 1131, 723, 2219, 286, 2336, 268, 26819, 539, 5810, 547, 2263, 519, 8768, 2694, 0, 13420, 10329, 7158, 540, 513, 2597, 593, 513, 10814, 6378, 547, 513, 31945, 10428, 11057, 2230, 6728, 3001, 2059, 513, 9764, 2520, 12510, 878, 10739, 454, 268, 476, 1789, 20042, 454, 763, 5163, 540, 513, 2230, 1843, 538, 519, 14965, 2361, 540, 519, 3047, 568, 2808, 269, 634, 1843, 5161, 540, 606, 6905, 2230, 6728, 543, 513, 2597, 267, 799, 568, 1863, 547, 1847, 2059, 519, 10814, 6378, 547, 519, 7475, 540, 519, 6728, 269, 898, 568, 10924, 602, 519, 6728, 568, 7768, 540, 1079, 13999, 13745, 676, 513, 2597, 1652, 11425, 267, 1247, 519, 10814, 568, 2597, 1652, 543, 1875, 3613, 4958, 3481, 269, 634, 4834, 540, 5163, 540, 971, 513, 1062, 616, 6508, 585, 519, 2013, 950, 519, 5163, 23131, 538, 513, 2582, 7077, 267, 1247, 519, 4099, 540, 2527, 540, 519, 1062, 7575, 2059, 513, 9764, 2520, 12510, 878, 10739, 269, 634, 2175, 540, 519, 10814, 8082, 630, 1718, 1431, 540, 1373, 593, 17063, 264, 616, 6508, 269, 634, 5123, 17855, 540, 519, 2597, 5163, 2059, 519, 10814, 568, 9112, 950, 519, 6728, 568, 20218, 547, 519, 19788, 4099, 610, 568, 13902, 547, 713, 2990, 269, 634, 7872, 547, 4734, 519, 17063, 538, 713, 2013, 568, 9916, 269, 4982, 10329, 19383, 540, 519, 1062, 616, 1336, 267, 1775, 4318, 1421, 971, 20517, 540, 519, 1843, 896, 7156, 693, 799, 519, 2597, 1281, 711, 1689, 922, 2990, 3448, 547, 519, 6728, 269, 10370, 777, 684, 990, 6617, 540, 971, 19383, 568, 9916, 585, 1079, 3871, 281, 950, 519, 6728, 568, 7768, 540, 3160, 13999, 543, 950, 13999, 693, 519, 7475, 540, 519, 6728, 616, 1114, 269, 769, 1880, 267, 585, 519, 2013, 540, 1114, 13999, 621, 568, 3964, 602, 972, 2291, 971, 7158, 540, 11466, 693, 799, 519, 31945, 10428, 568, 4092, 693, 606, 5086, 547, 519, 4287, 547, 519, 19788, 4099, 269, 769, 930, 2665, 891, 7158, 666, 581, 11689, 1242, 630, 604, 519, 2597, 568, 6378, 593, 519, 10814, 1916, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 563, 268, 476, 272, 269, 6826, 7410, 330, 4512, 267, 966, 17679, 269, 543, 8734, 1731, 13960, 267, 661, 11053, 1421, 28731, 18289, 540, 5565, 21676, 9482, 645, 3672, 538, 2107, 4226, 267, 24230, 332, 269, 9129, 1194, 1421, 476, 3422, 280, 267, 2019, 269, 476, 278, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 4391, 278, 1700, 29575, 32155, 10104, 454, 268, 476, 273, 269, 6826, 7410, 330, 4512, 267, 966, 17679, 269, 543, 2274, 9109, 267, 661, 8160, 1421, 2107, 321, 1388, 595, 762, 7010, 267, 2776, 2745, 540, 918, 15505, 903, 327, 2382, 269, 540, 11930, 4569, 1421, 4072, 269, 6298, 269, 2233, 1421, 18293, 267, 476, 2735, 272, 267, 1100, 269, 476, 1724, 32155, 10104, 454, 268, 476, 274, 15660, 7079, 990, 267, 966, 6993, 269, 543, 23063, 1513, 330, 4512, 267, 24204, 2529, 1421, 20550, 600, 11986, 1093, 2280, 320, 521, 626, 5519, 575, 756, 14150, 521, 11803, 1794, 15967, 16223, 737, 657, 6193, 1127, 330, 16554, 1073, 16357, 2131, 339, 990, 630, 293, 2775, 18868, 540, 21253, 4601, 4045, 539, 6611, 8154, 3590, 1070, 18293, 281, 631, 1662, 514, 739, 549, 523, 773, 267, 476, 2735, 277, 32155, 10104, 454, 268, 476, 275, 10611, 617, 23364, 990, 267, 589, 17679, 1421, 18289, 540, 513, 13379, 2059, 519, 595, 762, 674, 12089, 547, 513, 6611, 13749, 267, 538, 30619, 9654, 513, 330, 27854, 1127, 330, 773, 669, 1084, 31843, 1093, 737, 657, 3000, 822, 339, 833, 267, 1064, 11803, 1662, 7770, 5500, 324, 533, 18081, 10620, 513, 330, 611, 655, 11986, 590, 10422, 269, 31704, 1961, 9366, 269, 1855, 345, 19192, 546, 758, 19921, 990, 630, 20082, 338, 540, 476, 2918, 628, 14288, 3367, 902, 593, 13562, 2246, 923, 538, 15350, 540, 14288, 1014, 590, 10422, 269, 31704, 1961, 341, 1070, 18293, 267, 476, 1220, 274, 267, 6032, 269, 476, 10619, 1700, 4037, 32155, 10104, 454, 268, 476, 276, 269, 6826, 7410, 330, 4512, 267, 966, 17679, 1421, 667, 341, 714, 1156, 773, 568, 330, 639, 560, 1597, 333, 690, 334, 838, 583, 333, 11986, 17333, 333, 21627, 601, 685, 7224, 512, 338, 550, 571, 2527, 630, 25369, 31420, 18289, 28731, 547, 4706, 4741, 540, 7136, 1070, 18293, 281, 715, 879, 6390, 267, 476, 3422, 276, 32155, 10104, 0, 10666, 713, 1433, 454, 10521, 1713, 1919, 723, 5949, 2094, 519, 1603, 540, 519, 1101, 7160, 538, 476, 2735, 274, 269, 2290, 540, 873, 568, 2487, 26901, 531, 540, 2178, 1719, 538, 2489, 3344, 540, 834, 928, 1116, 7384, 2580, 610, 834, 928, 1116, 5121, 2580, 607, 519, 3105, 8849, 3631, 616, 19951, 1572, 269, 634, 24539, 267, 540, 1576, 267, 814, 1044, 547, 1020, 1007, 635, 2322, 619, 269, 23883, 621, 949, 723, 1044, 5433, 602, 519, 865, 10777, 11359, 22831, 5904, 267, 1759, 593, 6671, 7954, 5752, 267, 798, 711, 2943, 2270, 538, 5250, 4393, 3741, 540, 519, 1482, 1826, 607, 1346, 11402, 538, 519, 2634, 269, 2353, 1007, 2093, 585, 519, 834, 928, 1116, 5904, 257, 616, 267, 540, 1576, 267, 10950, 269, 2201, 519, 824, 1688, 267, 621, 568, 711, 1360, 2653, 547, 1294, 1018, 2186, 540, 9993, 972, 2291, 547, 741, 6388, 269, 769, 1931, 547, 1935, 713, 1966, 18928, 267, 524, 518, 512, 664, 3515, 540, 2219, 267, 10459, 267, 543, 7355, 1058, 581, 4553, 269, 898, 568, 519, 1625, 10460, 540, 519, 3773, 3848, 476, 280, 547, 2992, 2390, 971, 2042, 689, 513, 2489, 1448, 540, 2070, 269, 6271, 1271, 3364, 568, 513, 22820, 540, 1007, 8800, 4066, 585, 771, 5513, 3176, 1997, 894, 8823, 267, 2523, 1164, 29213, 19202, 11387, 267, 543, 9804, 2326, 543, 3334, 269, 634, 5736, 568, 1360, 2673, 950, 519, 6252, 21932, 666, 581, 1500, 782, 19945, 3749, 269, 11153, 2324, 1997, 894, 3965, 2895, 328, 23033, 999, 267, 1759, 9003, 593, 9804, 4066, 267, 723, 1044, 9112, 538, 2487, 1296, 269, 1280, 713, 2601, 621, 729, 5433, 2556, 547, 1331, 513, 5094, 3184, 630, 2419, 777, 269, 476, 1015, 264, 799, 9388, 609, 519, 9804, 1997, 894, 8823, 269, 3487, 540, 922, 598, 512, 757, 568, 3144, 936, 689, 519, 1101, 7160, 563, 14607, 3596, 916, 6211, 7350, 1979, 2684, 12695, 8760, 12440, 24159, 1344, 4393, 1344, 2257, 1565, 5276, 9695, 6310, 6530, 6128, 1582, 268, 32360, 11191, 0, 306, 754, 519, 3095, 2630, 3842, 4757, 610, 594, 10157, 4878, 454, 303, 6974, 547, 707, 5304, 9359, 6552, 6881, 454, 268, 12833, 1243, 5304, 2818, 786, 1246, 596, 607, 596, 6330, 543, 1459, 454, 268, 4658, 14376, 547, 513, 6881, 798, 711, 991, 513, 2776, 17844, 2272, 454, 268, 901, 3095, 1163, 2231, 476, 1015, 3764, 1310, 596, 2673, 519, 6881, 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, 9558, 5296, 540, 9705, 454, 298, 648, 320, 568, 8237, 883, 1312, 3345, 543, 3162, 563, 293, 9711, 827, 9705, 454, 9213, 267, 9705, 568, 606, 4853, 4182, 7555, 7381, 593, 519, 1158, 3942, 269, 4706, 19202, 267, 18914, 267, 5374, 1818, 543, 8668, 6080, 616, 593, 519, 3056, 6316, 538, 2518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1007, 4681, 3142, 519, 2698, 1297, 540, 6090, 610, 22308, 4525, 26582, 538, 3987, 547, 476, 1626, 267, 1767, 23718, 8845, 267, 13930, 1382, 10196, 538, 519, 4972, 540, 4437, 739, 520, 2524, 269, 12824, 689, 519, 2160, 540, 12309, 941, 835, 540, 1614, 6887, 540, 3744, 538, 2342, 543, 3345, 3013, 602, 3366, 519, 3818, 31228, 5698, 563, 763, 4681, 267, 799, 941, 3370, 2221, 538, 519, 4760, 7186, 21834, 267, 1683, 1007, 4030, 883, 519, 6127, 799, 616, 2356, 3743, 585, 519, 1852, 540, 7280, 267, 610, 4006, 267, 2157, 538, 519, 1973, 267, 543, 547, 519, 3541, 1052, 906, 602, 666, 1267, 538, 1826, 476, 273, 3987, 267, 799, 5222, 811, 982, 476, 10204, 2929, 1004, 5001, 563, 3080, 540, 519, 9241, 4362, 6090, 267, 799, 4422, 676, 519, 2012, 540, 29273, 313, 293, 272, 267, 3568, 513, 5094, 14583, 602, 814, 5063, 1044, 3254, 547, 1404, 513, 1909, 538, 17150, 2860, 267, 543, 568, 519, 2034, 5444, 602, 5526, 547, 1404, 513, 1909, 538, 1312, 2175, 269, 634, 1101, 4857, 16937, 1063, 6090, 585, 17150, 2860, 543, 1826, 476, 273, 3987, 729, 609, 670, 22143, 272, 289, 267, 799, 568, 849, 3238, 538, 606, 2038, 12614, 1106, 540, 3987, 4362, 693, 772, 5336, 538, 606, 20775, 1353, 267, 1572, 4223, 12053, 744, 985, 564, 12128, 540, 519, 8479, 630, 300, 7495, 312, 1916, 1103, 670, 22143, 272, 289, 267, 519, 1482, 14583, 602, 568, 2404, 609, 2799, 1981, 540, 3987, 568, 2404, 609, 8519, 1981, 540, 17150, 2860, 269, 769, 29273, 313, 293, 272, 267, 519, 3987, 543, 17150, 2860, 14726, 21078, 538, 1114, 2694, 540, 519, 5444, 543, 972, 568, 1100, 1634, 2078, 1063, 873, 563, 257, 5278, 540, 891, 6090, 585, 1826, 476, 273, 3987, 1522, 581, 3238, 538, 3676, 824, 982, 17150, 2860, 267, 538, 1249, 972, 568, 2907, 513, 1634, 16937, 609, 2295, 2068, 538, 1776, 22308, 3148, 286, 8845, 1767, 269, 834, 2171, 723, 827, 476, 1839, 267, 1822, 6090, 267, 543, 649, 4312, 1336, 513, 1360, 1507, 1297, 676, 11646, 2647, 2090, 267, 865, 547, 723, 519, 1482, 22308, 4525, 2097, 909, 538, 2090, 540, 1114, 3676, 568, 2965, 7168, 4277, 4799, 13911, 476, 273, 3987, 568, 6353, 676, 1164, 2157, 540, 1973, 4006, 267, 3361, 676, 519, 1560, 781, 17418, 547, 8415, 7378, 547, 1847, 1973, 4006, 883, 519, 2281, 585, 1648, 269, 7392, 476, 273, 3987, 5540, 5176, 476, 2641, 2929, 538, 519, 2136, 2276, 543, 519, 11841, 540, 519, 2068, 814, 6607, 13702, 9643, 538, 519, 2063, 476, 1789, 1296, 269, 12128, 568, 513, 2101, 2014, 540, 2295, 2068, 543, 8482, 267, 607, 1134, 607, 519, 1034, 1455, 2014, 540, 21901, 267, 8459, 5821, 543, 993, 1584, 725, 538, 772, 2529, 269, 4079, 563, 10454, 7415, 2487, 3356, 538, 7114, 4525, 540, 519, 11646, 602, 2333, 1981, 547, 3987, 19203, 5228, 476, 274, 547, 476, 1626, 538, 1152, 513, 1032, 19203, 15884, 948, 721, 19586, 519, 1950, 4493, 3987, 543, 949, 2303, 1007, 543, 1732, 3358, 2409, 547, 2061, 610, 1521, 713, 2068, 1421, 257, 1767, 772, 5336, 781, 7812, 645, 4141, 18255, 651, 267, 519, 1291, 10196, 593, 519, 18940, 268, 18197, 2276, 27148, 540, 6348, 268, 11900, 6081, 5937, 8817, 12128, 631, 749, 7978, 21834, 630, 293, 4785, 12778, 264, 1353, 1895, 267, 835, 540, 519, 1614, 1291, 2516, 538, 519, 1353, 563, 763, 3173, 538, 713, 1788, 1305, 856, 547, 1265, 3604, 538, 519, 4719, 3009, 602, 3565, 547, 1367, 3604, 538, 18687, 547, 2068, 269, 19881, 3646, 689, 891, 2516, 543, 1866, 4857, 4557, 6090, 7700, 547, 1826, 476, 273, 3987, 1981, 563, 299, 19313, 13391, 13704, 1923, 31823, 2336, 12867, 2697, 5732, 546, 745, 1375, 762, 30354, 533, 7871, 5946, 602, 3895, 2860, 2208, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 12019, 11354, 23320, 12524, 454, 24456, 2861, 6219, 25242, 22442, 1662, 2208, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 1323, 613, 342, 663, 974, 12443, 1067, 325, 832, 577, 2426, 594, 4338, 454, 24357, 27913, 540, 519, 2160, 540, 654, 14660, 345, 7921, 723, 1500, 606, 27314, 6602, 538, 513, 1808, 1826, 540, 30490, 1202, 22399, 269, 634, 1198, 568, 1813, 547, 519, 2497, 540, 519, 2326, 1031, 269, 634, 3173, 723, 1631, 3370, 741, 960, 538, 519, 4760, 3163, 563, 12749, 1670, 1202, 22399, 616, 4867, 519, 3905, 1888, 538, 6323, 2687, 547, 519, 11356, 3026, 826, 2098, 14660, 7815, 14858, 527, 2426, 269, 8307, 513, 1906, 4374, 3516, 267, 741, 2956, 729, 2483, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 5020, 7070, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 17905, 267, 634, 5113, 543, 11094, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 2657, 543, 6925, 0, 18693, 5505, 9517, 7636, 3625, 585, 1514, 11313, 3832, 11596, 20371, 12892, 9316, 568, 835, 540, 519, 1034, 2352, 14624, 585, 12105, 27563, 547, 2491, 1317, 6735, 585, 2200, 3330, 519, 7104, 1058, 1291, 547, 7960, 7592, 602, 1450, 2043, 547, 834, 3832, 520, 257, 519, 7104, 267, 3094, 811, 2200, 543, 16196, 5488, 982, 741, 811, 18756, 12543, 4534, 3976, 14944, 1456, 519, 1514, 7104, 269, 769, 1007, 1382, 267, 12105, 27563, 543, 4719, 1235, 693, 19676, 2160, 543, 7345, 3271, 5441, 540, 6925, 723, 9678, 513, 4719, 7271, 602, 27669, 8013, 12503, 543, 11689, 3278, 9316, 269, 4256, 1382, 5526, 538, 519, 4239, 269, 476, 278, 3390, 540, 519, 4760, 7186, 563, 8794, 519, 5767, 2645, 540, 7636, 11976, 267, 519, 3173, 1336, 602, 519, 7613, 1634, 607, 5418, 3999, 16552, 4534, 799, 4386, 950, 513, 5444, 5540, 811, 982, 835, 15110, 16023, 4534, 4249, 513, 2629, 1909, 538, 7303, 834, 3832, 11596, 257, 689, 29227, 741, 12543, 1369, 1793, 830, 9044, 10125, 602, 616, 4646, 676, 519, 1514, 993, 4141, 9346, 667, 1112, 344, 739, 601, 1756, 1167, 334, 728, 636, 269, 834, 1432, 649, 4076, 1336, 568, 513, 7636, 3625, 547, 32533, 543, 519, 4719, 7271, 621, 12346, 593, 734, 1119, 532, 18756, 6090, 17401, 609, 519, 1898, 1599, 540, 12093, 2437, 1767, 1957, 1071, 27236, 29315, 5899, 817, 10458, 267, 7548, 540, 14498, 543, 12105, 7350, 693, 19676, 269, 834, 22746, 513, 7271, 2306, 519, 2530, 540, 1514, 6090, 14427, 547, 1750, 11596, 267, 543, 649, 3494, 713, 5418, 3999, 22241, 7271, 949, 581, 22566, 540, 513, 2489, 7271, 602, 779, 6964, 538, 1082, 2249, 547, 24644, 9316, 4799, 763, 19676, 5174, 11336, 6901, 2721, 2390, 835, 540, 519, 1034, 9058, 1806, 540, 1514, 9316, 1851, 14471, 281, 950, 1793, 830, 9044, 993, 4141, 321, 2801, 2196, 856, 540, 519, 4551, 789, 3548, 267, 789, 1895, 267, 1287, 1106, 513, 2927, 1746, 1560, 538, 799, 827, 835, 1922, 604, 628, 540, 519, 2582, 16052, 539, 2043, 1369, 519, 12733, 15093, 2933, 547, 1106, 519, 31537, 602, 6585, 909, 519, 24032, 269, 6969, 8108, 513, 31537, 267, 519, 12733, 4422, 998, 513, 3942, 1141, 621, 3029, 513, 22376, 326, 6438, 2497, 269, 4438, 713, 3942, 267, 2281, 3132, 513, 15202, 11140, 1572, 667, 9281, 268, 272, 602, 3123, 930, 2818, 540, 519, 12733, 547, 16174, 2933, 689, 519, 1964, 540, 519, 1895, 543, 4283, 513, 15341, 1779, 3942, 540, 1646, 269, 4635, 24684, 267, 519, 1382, 2319, 2813, 513, 30354, 8833, 540, 667, 1112, 344, 739, 601, 1756, 1510, 519, 5444, 3897, 288, 267, 799, 9479, 585, 513, 1883, 3940, 602, 667, 1112, 344, 739, 601, 1756, 2281, 946, 547, 5431, 667, 9281, 268, 272, 269, 834, 2171, 4941, 547, 1294, 952, 2281, 1510, 3897, 288, 1223, 31376, 519, 1062, 676, 24937, 667, 9281, 268, 272, 543, 7551, 2333, 741, 8458, 540, 4742, 838, 648, 2281, 2864, 982, 31537, 2281, 2437, 1767, 1957, 1071, 27236, 6424, 2372, 11839, 267, 7548, 540, 14498, 543, 12105, 7350, 693, 19676, 269, 834, 2171, 2813, 10125, 602, 8659, 10199, 513, 476, 2004, 268, 2004, 3575, 540, 938, 4573, 1218, 543, 3552, 1826, 12490, 540, 667, 1112, 344, 739, 601, 1756, 267, 1306, 4397, 267, 519, 3897, 288, 22545, 8083, 4534, 519, 1750, 11596, 4534, 941, 19753, 12723, 547, 1847, 547, 519, 1394, 540, 519, 22376, 326, 267, 519, 2990, 13026, 676, 2281, 538, 519, 1095, 335, 648, 3942, 540, 1646, 4799, 3719, 5103, 713, 5413, 1282, 31537, 1646, 267, 519, 1750, 11596, 941, 2484, 1447, 2693, 982, 741, 5065, 13413, 547, 1118, 621, 883, 519, 4890, 24032, 29691, 519, 31537, 267, 513, 4466, 602, 14281, 519, 3003, 1382, 2319, 269, 634, 3173, 5342, 513, 3126, 540, 4255, 547, 3313, 2436, 519, 3897, 288, 4573, 1218, 1185, 606, 6397, 8013, 19319, 602, 729, 7729, 9405, 519, 2164, 540, 519, 4603, 269, 2290, 540, 1346, 4255, 3238, 3168, 585, 513, 15262, 5444, 6829, 1152, 538, 15341, 1779, 2281, 269, 4635, 713, 15262, 5444, 267, 789, 5462, 602, 1082, 2281, 538, 519, 24032, 941, 3552, 1826, 2281, 602, 941, 7620, 28562, 547, 1831, 31537, 2281, 269, 1452, 2281, 23384, 513, 3735, 22533, 11095, 827, 19904, 543, 5486, 5896, 3897, 288, 22545, 719, 2281, 602, 941, 7620, 6098, 547, 1831, 24032, 563, 21893, 1449, 9672, 602, 519, 3897, 288, 5444, 729, 1898, 711, 1152, 585, 667, 9281, 268, 272, 6284, 855, 849, 585, 838, 648, 2504, 2437, 1767, 1957, 1071, 27236, 717, 611, 1744, 4954, 20391, 267, 12314, 7548, 540, 7636, 543, 1480, 11976, 693, 7345, 3271, 5441, 540, 6925, 269, 834, 2171, 1810, 1406, 917, 519, 5730, 8790, 12817, 13374, 585, 713, 2034, 1599, 267, 855, 649, 917, 602, 3897, 288, 9479, 585, 513, 16606, 3815, 602, 25907, 609, 5027, 538, 519, 13540, 547, 1852, 5444, 4082, 269, 5221, 16606, 2188, 1419, 1852, 811, 982, 835, 5444, 267, 649, 3494, 519, 9000, 540, 3897, 288, 949, 581, 7679, 1359, 609, 606, 7164, 6284, 13374, 602, 568, 1898, 585, 838, 648, 5542, 4799, 763, 2164, 616, 519, 1101, 3370, 676, 513, 2189, 19676, 5174, 11336, 10319, 602, 4465, 1269, 276, 2929, 689, 519, 2817, 3163, 7690, 2063, 1032, 547, 4019, 519, 5767, 2553, 540, 2413, 7636, 11976, 543, 1804, 8397, 1024, 15299, 547, 519, 1353, 540, 1514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2324, 856, 888, 293, 864, 695, 3658, 616, 513, 12001, 5068, 6656, 602, 568, 3728, 2989, 538, 519, 6073, 540, 519, 4395, 2212, 1532, 663, 269, 5261, 5576, 3530, 1676, 267, 631, 6185, 1421, 606, 11763, 2068, 4274, 267, 543, 7548, 693, 519, 966, 6387, 321, 2830, 2160, 3427, 540, 6925, 267, 3081, 968, 1492, 3020, 5068, 6227, 707, 2898, 3068, 543, 3335, 21018, 2630, 707, 24060, 6100, 968, 2690, 4376, 2469, 856, 267, 855, 849, 585, 1919, 2469, 538, 513, 3068, 13104, 2488, 513, 11064, 9731, 8002, 1302, 267, 3068, 695, 3658, 616, 7168, 3339, 538, 6413, 543, 2324, 5468, 1318, 1631, 267, 3081, 1656, 637, 7931, 3266, 267, 631, 6185, 1421, 606, 11763, 2068, 11285, 693, 13244, 3933, 3821, 267, 2836, 604, 1421, 3038, 2064, 12142, 3627, 781, 2657, 4741, 269, 968, 9336, 1268, 538, 3346, 609, 513, 3461, 693, 938, 6413, 31273, 513, 3068, 13104, 269, 1635, 9849, 513, 13104, 593, 1283, 540, 513, 9633, 267, 621, 786, 948, 2149, 3782, 4600, 269, 3487, 540, 707, 2126, 949, 5512, 596, 547, 723, 3346, 609, 513, 3461, 945, 3884, 1405, 9849, 513, 9633, 1247, 596, 2811, 2921, 1416, 540, 513, 3461, 9731, 3080, 1382, 602, 1031, 513, 11522, 1138, 15975, 1336, 602, 476, 275, 260, 540, 5536, 2813, 676, 513, 11522, 666, 1205, 896, 513, 3068, 13104, 543, 581, 31067, 1318, 1310, 519, 11522, 4386, 267, 855, 621, 1869, 2488, 930, 4494, 540, 4027, 269, 8131, 695, 3658, 616, 711, 4998, 269, 29247, 15663, 267, 1498, 634, 3068, 695, 3658, 1152, 4389, 519, 2179, 540, 13572, 27829, 1242, 5536, 31067, 676, 476, 2537, 260, 1310, 519, 4172, 326, 1117, 13050, 27829, 1185, 24797, 1472, 519, 4055, 563, 763, 476, 1708, 271, 1382, 2689, 11943, 602, 3068, 695, 3658, 1058, 711, 581, 1031, 607, 22072, 3068, 270, 5674, 324, 4027, 267, 855, 2864, 607, 7755, 9417, 633, 547, 824, 623, 14154, 267, 971, 607, 8825, 3068, 13968, 543, 575, 17344, 956, 538, 2564, 5468, 267, 1813, 547, 519, 9000, 540, 513, 1434, 11132, 13021, 13020, 958, 602, 666, 5512, 27829, 21774, 269, 1809, 4063, 267, 649, 616, 9849, 3068, 6227, 693, 1459, 547, 948, 2149, 1346, 1472, 721, 267, 711, 8209, 547, 948, 2149, 6000, 563, 2108, 7212, 972, 568, 4867, 1100, 3621, 2963, 547, 23596, 519, 2489, 1857, 781, 946, 540, 3068, 695, 3658, 267, 602, 1281, 711, 1611, 602, 789, 949, 711, 581, 6225, 5608, 3081, 2549, 21983, 589, 269, 1520, 531, 10937, 267, 631, 6185, 1421, 513, 11285, 538, 11763, 3676, 543, 9972, 16159, 693, 519, 8592, 22846, 4741, 585, 2657, 10466, 269, 634, 1482, 476, 1001, 277, 2689, 7074, 602, 972, 616, 13907, 540, 2640, 547, 3068, 695, 3658, 267, 971, 607, 7863, 513, 3152, 6712, 540, 519, 3068, 267, 4743, 811, 17159, 267, 2348, 1447, 7244, 1198, 267, 543, 1373, 20522, 563, 7804, 269, 1520, 531, 10937, 6811, 968, 2183, 695, 3658, 666, 581, 811, 2500, 982, 3068, 13968, 4805, 2094, 950, 9849, 513, 3068, 13104, 267, 1004, 616, 2484, 1447, 2693, 547, 5905, 741, 3068, 6100, 1358, 666, 581, 3144, 1055, 543, 18233, 607, 1134, 269, 1358, 2811, 513, 1454, 811, 13267, 3903, 538, 1896, 24947, 563, 7212, 513, 10551, 9633, 610, 715, 4817, 9633, 568, 4749, 12816, 896, 513, 3068, 13104, 676, 2564, 10986, 267, 3220, 269, 5576, 3530, 1676, 3081, 621, 568, 711, 2731, 3617, 585, 519, 2489, 1857, 269, 968, 2710, 4701, 946, 1312, 9633, 543, 13104, 538, 12362, 5773, 1141, 789, 3132, 606, 27829, 267, 971, 607, 703, 889, 566, 5608, 646, 3081, 269, 968, 763, 6093, 1367, 568, 711, 2469, 547, 1995, 602, 269, 1403, 1022, 1004, 1616, 547, 979, 856, 543, 827, 609, 513, 3068, 13104, 267, 621, 1522, 2709, 513, 4110, 540, 4027, 6697, 547, 513, 10551, 9633, 7536, 6097, 547, 782, 1382, 543, 6901, 676, 7189, 543, 3744, 269, 8131, 695, 3658, 616, 711, 2500, 607, 606, 1367, 1996, 519, 11452, 538, 713, 6855, 269, 1284, 1058, 5957, 3068, 695, 3658, 936, 10551, 610, 715, 4817, 13968, 547, 4688, 938, 10450, 563, 2026, 519, 1382, 1657, 18327, 267, 950, 519, 649, 13145, 540, 3068, 13104, 11522, 338, 267, 3068, 695, 3658, 3112, 3247, 782, 12772, 540, 3644, 621, 1175, 13515, 476, 275, 260, 540, 621, 269, 1809, 952, 596, 5957, 513, 3068, 13104, 936, 519, 10551, 3068, 9633, 267, 621, 786, 1118, 596, 2386, 602, 596, 616, 7863, 3054, 543, 1866, 607, 1134, 563, 24922, 15565, 3068, 13104, 585, 3782, 4648, 267, 711, 585, 1857, 454, 293, 864, 695, 3658, 616, 10691, 9516, 585, 3232, 2238, 267, 2687, 547, 519, 15544, 585, 8376, 6513, 269, 4634, 267, 3079, 540, 513, 3068, 9633, 267, 596, 1058, 711, 5957, 513, 3068, 13104, 267, 519, 15509, 5206, 538, 922, 4808, 563, 17606, 568, 711, 2312, 2436, 3068, 695, 3658, 723, 1022, 5413, 547, 2149, 1866, 689, 519, 10936, 540, 7929, 5536, 607, 2707, 1852, 5608, 519, 15509, 5206, 269, 968, 2691, 12675, 2673, 3346, 609, 824, 2043, 568, 2838, 267, 930, 2043, 949, 1904, 547, 946, 513, 3068, 13104, 269, 1358, 666, 16833, 1472, 519, 5011, 540, 519, 649, 13145, 781, 3068, 543, 12701, 547, 2630, 519, 24060, 952, 3068, 695, 3658, 616, 1031, 1510, 513, 9633, 269, 2598, 1842, 762, 3068, 695, 3658, 1058, 581, 12816, 585, 513, 2582, 3498, 1152, 269, 1234, 20608, 3068, 695, 3658, 666, 267, 1310, 1142, 946, 267, 581, 18233, 543, 21149, 539, 9731, 763, 15509, 814, 849, 6069, 695, 3658, 585, 3782, 4648, 945, 960, 267, 855, 711, 585, 1004, 538, 3232, 1272, 269, 4014, 3744, 8263, 602, 1034, 18993, 3827, 540, 5046, 268, 866, 2049, 689, 7929, 20256, 602, 2097, 689, 513, 1268, 945, 14753, 610, 14229, 324, 8240, 543, 1287, 10301, 2576, 7404, 9224, 610, 5023, 267, 1346, 20256, 949, 849, 4283, 998, 519, 3750, 269, 0, 6624, 1004, 3409, 602, 789, 666, 1406, 979, 513, 1554, 1510, 2575, 267, 8885, 3769, 269, 898, 779, 899, 513, 2034, 26470, 596, 666, 1406, 1256, 4952, 2469, 1510, 269, 15526, 779, 1185, 602, 835, 7376, 610, 17581, 538, 519, 968, 296, 4076, 19557, 547, 713, 827, 835, 4627, 2053, 593, 10956, 892, 7121, 269, 1809, 1946, 568, 602, 888, 5970, 1100, 4250, 269, 3163, 666, 6941, 912, 6097, 547, 3404, 5112, 30700, 2593, 267, 950, 649, 5873, 513, 1880, 19820, 610, 5152, 602, 649, 899, 267, 938, 12058, 5305, 519, 32239, 22006, 267, 835, 540, 519, 19038, 569, 3957, 968, 327, 7026, 10399, 1848, 901, 9449, 568, 849, 5950, 950, 649, 4235, 513, 4837, 540, 1216, 1317, 649, 941, 19818, 344, 610, 1282, 824, 968, 1410, 322, 1746, 892, 2621, 563, 763, 12924, 8648, 7074, 602, 950, 649, 2461, 6947, 547, 2575, 267, 621, 779, 711, 602, 649, 1995, 513, 5305, 540, 22006, 950, 6217, 938, 5172, 26107, 267, 855, 602, 649, 2965, 5305, 811, 950, 16042, 938, 5172, 2694, 540, 519, 5152, 269, 1924, 267, 20248, 6340, 267, 938, 1560, 12587, 721, 585, 6217, 1945, 649, 1265, 5418, 553, 9092, 269, 6904, 568, 19599, 2147, 547, 519, 2360, 593, 513, 1268, 779, 1560, 950, 789, 2461, 1210, 1945, 547, 799, 789, 2461, 29279, 563, 3719, 267, 2864, 982, 513, 3621, 7778, 607, 547, 1946, 649, 1745, 519, 1259, 649, 798, 267, 568, 972, 606, 3929, 17063, 649, 723, 547, 519, 1913, 649, 2461, 6217, 286, 2368, 540, 721, 1745, 972, 779, 606, 3929, 543, 6209, 1650, 6456, 12341, 3297, 1346, 13176, 1193, 4548, 267, 14941, 2041, 1846, 267, 543, 4898, 2685, 18705, 1913, 269, 2107, 5310, 519, 5152, 3085, 1406, 1256, 723, 18405, 267, 855, 519, 7405, 3100, 547, 2206, 811, 982, 519, 1913, 269, 634, 2333, 538, 8561, 593, 1978, 15747, 2694, 666, 13489, 909, 519, 1034, 4277, 6547, 538, 1004, 22924, 779, 4241, 563, 1432, 798, 938, 645, 9391, 1053, 723, 547, 2161, 827, 713, 2339, 286, 2052, 649, 2731, 581, 29279, 547, 2575, 267, 610, 798, 649, 1175, 2015, 606, 7533, 851, 540, 938, 4948, 2729, 888, 289, 9391, 9972, 21877, 700, 27980, 1767, 267, 968, 10387, 19600, 616, 9090, 1946, 649, 1921, 609, 2575, 269, 1879, 649, 5873, 1978, 18405, 610, 18819, 267, 621, 12153, 606, 7553, 1848, 6271, 9972, 267, 21546, 11197, 2023, 1767, 267, 968, 31800, 1695, 267, 594, 1589, 649, 616, 269, 8535, 568, 1945, 11791, 267, 7132, 267, 621, 2306, 721, 6126, 267, 865, 649, 2461, 2469, 547, 979, 1394, 547, 621, 3034, 4407, 649, 949, 2760, 581, 2386, 540, 519, 2626, 267, 621, 779, 1869, 9985, 5386, 547, 7544, 1472, 547, 707, 5172, 26107, 267, 2523, 952, 789, 1118, 596, 6126, 269, 0, 296, 4076, 2141, 2219, 602, 972, 616, 1614, 1919, 596, 666, 798, 609, 4496, 281, 2759, 621, 267, 18846, 621, 267, 543, 6443, 621, 269, 17610, 267, 594, 6785, 596, 1223, 15835, 621, 267, 855, 602, 729, 2141, 1945, 602, 5949, 538, 2462, 1336, 1845, 268, 596, 1374, 1945, 543, 6928, 621, 1055, 547, 581, 5641, 538, 930, 1804, 16070, 2679, 669, 9506, 856, 8673, 269, 2991, 782, 267, 13621, 1034, 8407, 568, 2182, 269, 18234, 5283, 1206, 693, 476, 272, 267, 278, 8287, 11019, 293, 269, 21019, 693, 476, 272, 267, 7176, 274, 11019, 293, 269, 3502, 1152, 798, 596, 991, 547, 1711, 606, 1604, 602, 666, 5734, 1346, 5210, 267, 855, 596, 991, 547, 1628, 621, 689, 2326, 602, 666, 16641, 873, 563, 307, 5281, 856, 267, 13621, 4496, 568, 711, 865, 3983, 269, 5080, 29418, 267, 594, 4076, 1336, 602, 519, 23698, 851, 540, 519, 1184, 585, 606, 11653, 899, 8885, 693, 2547, 267, 568, 2870, 519, 4806, 547, 581, 556, 6088, 538, 4496, 269, 2334, 851, 568, 6986, 1148, 267, 855, 9684, 2685, 594, 4121, 602, 649, 666, 946, 2029, 547, 31376, 513, 3787, 563, 2691, 594, 4956, 547, 1491, 909, 16213, 4505, 713, 1032, 267, 594, 6785, 7168, 1454, 4986, 827, 621, 269, 6969, 649, 4685, 883, 519, 3877, 1934, 267, 1577, 779, 979, 998, 513, 2656, 678, 1495, 1144, 547, 4688, 596, 519, 1101, 1554, 594, 6170, 15388, 519, 1184, 269, 2311, 621, 779, 4295, 267, 1934, 616, 519, 3268, 3238, 538, 4503, 14589, 267, 610, 5092, 267, 16213, 912, 13014, 513, 4806, 281, 513, 14589, 610, 5068, 18187, 320, 540, 519, 851, 596, 8910, 899, 547, 1711, 538, 4496, 454, 13014, 513, 9044, 281, 13248, 29147, 1472, 519, 4806, 267, 1287, 6633, 856, 519, 14589, 547, 4734, 513, 17860, 13570, 454, 303, 712, 519, 4496, 281, 15835, 930, 4496, 543, 13248, 621, 883, 519, 13570, 454, 296, 1185, 1044, 737, 10107, 1472, 519, 2856, 540, 3843, 713, 2094, 2063, 2887, 267, 855, 4769, 1406, 2731, 917, 1141, 547, 2253, 269, 1703, 8604, 547, 581, 513, 2603, 540, 3937, 3238, 267, 543, 594, 6557, 1100, 9380, 528, 267, 865, 594, 6785, 602, 1818, 3270, 1131, 581, 513, 4161, 269, 594, 1185, 4862, 602, 596, 1223, 476, 274, 291, 268, 2745, 14589, 3270, 3079, 540, 26002, 873, 676, 1688, 267, 855, 519, 1655, 3684, 585, 519, 2816, 568, 606, 590, 6369, 17002, 799, 568, 10238, 1438, 569, 7199, 267, 610, 865, 594, 2219, 269, 15566, 2542, 968, 1692, 1677, 5192, 20553, 23452, 654, 1314, 595, 8463, 630, 5976, 589, 667, 1662, 2986, 476, 274, 291, 24614, 264, 892, 20681, 454, 8269, 1456, 10475, 8407, 568, 711, 607, 2241, 607, 1135, 5109, 7725, 602, 723, 1044, 25653, 856, 540, 519, 2666, 269, 10705, 267, 1950, 3114, 3157, 616, 2877, 547, 1184, 519, 2326, 5265, 610, 538, 1164, 9424, 267, 855, 891, 3157, 4734, 3297, 9645, 3653, 269, 10705, 267, 972, 616, 3407, 8407, 2451, 936, 538, 891, 22837, 267, 543, 1496, 301, 518, 323, 305, 720, 316, 814, 10356, 1010, 7998, 3937, 547, 6542, 875, 621, 779, 2009, 547, 9156, 891, 8407, 563, 763, 1184, 3238, 5654, 547, 9156, 7601, 543, 6491, 878, 3679, 689, 7601, 24277, 267, 513, 1455, 3653, 676, 28237, 540, 4393, 4496, 269, 2755, 513, 1184, 1572, 8143, 17883, 6818, 547, 9585, 713, 267, 621, 779, 711, 3226, 3608, 267, 865, 713, 4244, 5654, 547, 2087, 519, 11729, 596, 1223, 6382, 2503, 269, 634, 1101, 1900, 568, 547, 2746, 519, 7601, 24277, 609, 16247, 545, 3679, 267, 799, 2164, 538, 6491, 878, 3679, 543, 7601, 23253, 269, 3245, 972, 267, 519, 7601, 23253, 568, 5116, 538, 606, 14793, 3974, 1591, 1210, 513, 31091, 30932, 543, 7601, 606, 3941, 547, 1780, 1699, 998, 621, 269, 2991, 519, 1184, 568, 2347, 267, 782, 540, 519, 7601, 786, 723, 20024, 3294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2186, 540, 1919, 2306, 1022, 1268, 16887, 3214, 10795, 269, 0, 8110, 14651, 568, 3989, 607, 834, 27594, 3022, 1145, 281, 10770, 8990, 30882, 4322, 616, 7168, 2178, 2474, 269, 834, 291, 690, 3022, 1145, 257, 11148, 547, 5862, 513, 4605, 540, 519, 2462, 4436, 2701, 23311, 2915, 945, 21593, 543, 14014, 1010, 7633, 269, 3807, 6432, 547, 1864, 2560, 25261, 267, 669, 20234, 267, 25261, 267, 669, 20234, 269, 1261, 568, 5462, 547, 16718, 543, 621, 4992, 899, 646, 568, 2731, 6126, 1317, 646, 568, 1869, 2469, 2178, 1310, 606, 5662, 269, 898, 568, 16608, 256, 1635, 519, 1259, 267, 2760, 1205, 1063, 5243, 543, 1010, 7633, 256, 9462, 30904, 454, 11073, 9227, 9909, 4096, 593, 519, 1482, 1880, 16177, 269, 3131, 14651, 568, 606, 10694, 851, 602, 3762, 5420, 4600, 689, 1346, 945, 616, 1360, 3811, 543, 538, 2486, 269, 5994, 9256, 16177, 609, 13730, 8404, 267, 950, 596, 960, 2509, 519, 3804, 269, 901, 4999, 786, 581, 513, 2922, 1922, 790, 16771, 945, 3340, 4986, 1447, 982, 1346, 936, 7308, 31795, 2773, 269, 5457, 519, 2915, 543, 1010, 7633, 286, 4270, 267, 798, 711, 2141, 1205, 1063, 12592, 267, 6209, 1565, 543, 1967, 563, 306, 7964, 6887, 616, 513, 1434, 1383, 540, 16177, 269, 634, 6060, 568, 476, 278, 547, 476, 273, 585, 519, 3643, 269, 634, 9561, 2199, 678, 718, 625, 1472, 519, 16455, 693, 513, 23249, 269, 634, 1034, 1271, 4305, 540, 519, 16455, 568, 547, 5000, 1010, 5716, 547, 606, 25981, 10182, 540, 16177, 269, 22716, 1125, 1018, 729, 1434, 538, 519, 1101, 851, 540, 519, 3014, 543, 3136, 538, 602, 4287, 609, 513, 17105, 6612, 585, 10888, 563, 2252, 519, 2199, 729, 20402, 827, 741, 4606, 267, 621, 666, 711, 581, 1767, 602, 789, 1223, 2161, 789, 941, 2219, 1652, 267, 8572, 267, 8572, 267, 22482, 267, 543, 1256, 4941, 547, 16718, 269, 17547, 267, 1317, 9561, 8604, 17149, 543, 789, 1152, 5059, 593, 513, 2942, 269, 21278, 891, 10151, 4606, 568, 10691, 513, 11600, 585, 1967, 269, 21988, 1004, 715, 14110, 2207, 2285, 909, 593, 891, 6727, 4606, 563, 9377, 324, 520, 543, 2942, 4606, 2760, 1439, 1279, 269, 1358, 616, 5828, 1055, 607, 519, 1445, 2242, 689, 2942, 547, 2318, 269, 898, 3217, 4674, 547, 1689, 4222, 689, 2942, 9073, 543, 9073, 543, 1152, 1491, 5413, 540, 3811, 3853, 543, 581, 513, 3811, 16771, 563, 12988, 547, 519, 5026, 2319, 269, 634, 1883, 547, 741, 1967, 568, 16177, 269, 1358, 1705, 711, 2285, 909, 1256, 950, 789, 5433, 621, 269, 1358, 4682, 856, 609, 513, 1007, 2318, 10182, 543, 5129, 1256, 1732, 538, 519, 2063, 851, 540, 519, 3014, 543, 1705, 621, 585, 519, 1101, 942, 269, 1358, 6603, 741, 3804, 543, 8737, 519, 3014, 676, 476, 1704, 547, 476, 1321, 269, 634, 2601, 585, 741, 1967, 286, 3131, 572, 3164, 543, 13404, 593, 519, 2318, 2336, 1607, 1482, 16177, 568, 519, 1883, 547, 3811, 11639, 13461, 593, 269, 2991, 782, 267, 602, 781, 875, 789, 3357, 1141, 789, 616, 1631, 563, 31995, 3131, 14651, 538, 476, 275, 11822, 17778, 454, 272, 269, 2142, 2386, 547, 3136, 267, 1498, 938, 1920, 1315, 9164, 723, 2907, 11074, 563, 27269, 649, 3592, 1205, 834, 31695, 257, 689, 1018, 789, 1294, 607, 9073, 269, 1358, 798, 3388, 538, 741, 1379, 547, 15658, 721, 543, 7683, 2995, 721, 602, 621, 568, 606, 7543, 4305, 563, 2252, 649, 3442, 547, 8275, 602, 649, 1616, 547, 9585, 938, 9909, 267, 649, 991, 547, 1118, 930, 3664, 602, 3132, 519, 2164, 649, 1616, 269, 634, 1101, 1900, 568, 547, 6615, 2792, 547, 519, 25133, 855, 2942, 2360, 540, 2110, 1606, 32484, 1004, 1472, 721, 2394, 519, 3804, 568, 936, 563, 16605, 3549, 609, 1152, 1346, 945, 5000, 543, 1459, 938, 2014, 269, 1452, 1004, 2333, 938, 1871, 538, 938, 2729, 543, 2671, 938, 5075, 269, 15474, 2360, 616, 1271, 950, 2324, 609, 16177, 547, 8011, 9909, 616, 1500, 563, 273, 269, 11408, 2628, 3007, 547, 519, 3803, 2164, 540, 10888, 1107, 2760, 538, 513, 3510, 1141, 596, 666, 1205, 972, 563, 2005, 781, 1360, 2653, 547, 3136, 3168, 585, 513, 5821, 543, 3136, 972, 269, 634, 811, 942, 649, 1445, 593, 5821, 267, 519, 8273, 621, 6238, 547, 1413, 269, 17652, 621, 786, 581, 865, 1454, 936, 3603, 543, 17116, 269, 1879, 713, 4523, 267, 8467, 6794, 13788, 543, 3123, 721, 547, 3247, 1175, 29655, 563, 2005, 3217, 607, 1454, 1648, 547, 1294, 519, 2318, 2427, 607, 621, 568, 2942, 269, 6052, 1058, 581, 1031, 20617, 543, 1445, 1152, 593, 2318, 267, 855, 11874, 19952, 269, 10925, 513, 5365, 593, 519, 2258, 2510, 543, 1289, 873, 834, 984, 560, 8163, 1701, 634, 6852, 3483, 540, 519, 21677, 568, 547, 1683, 1776, 4316, 547, 10956, 606, 20541, 1184, 609, 930, 2242, 269, 3973, 1445, 593, 1018, 4682, 1318, 543, 1832, 593, 3384, 269, 19244, 891, 3268, 2394, 519, 1184, 568, 3811, 563, 274, 269, 5901, 3950, 540, 1018, 1568, 269, 6258, 689, 1866, 543, 798, 711, 5710, 519, 11332, 563, 4407, 2324, 2509, 713, 10700, 3804, 267, 5469, 1018, 1568, 693, 519, 1439, 540, 1142, 1788, 269, 4676, 3306, 519, 1184, 593, 713, 1592, 540, 834, 6343, 1568, 257, 14578, 563, 2691, 3168, 585, 513, 1007, 3390, 267, 1451, 689, 1018, 1866, 1705, 269, 7427, 741, 1383, 543, 4283, 2123, 2242, 547, 4368, 519, 1184, 269, 1403, 621, 1568, 267, 1390, 256, 13772, 621, 269, 1403, 621, 1281, 711, 2743, 519, 2953, 16551, 267, 12575, 1018, 2115, 547, 581, 22621, 543, 2119, 1586, 269, 3131, 572, 3164, 256, 1684, 711, 3247, 256, 1684, 711, 1294, 621, 607, 513, 5821, 267, 1175, 607, 606, 21677, 602, 3947, 1776, 4316, 547, 10956, 519, 1184, 563, 275, 269, 5901, 19015, 693, 782, 2318, 1164, 2157, 563, 4537, 12686, 2115, 547, 581, 938, 476, 2190, 270, 278, 7649, 547, 8011, 649, 2731, 1616, 563, 8698, 519, 1739, 3239, 912, 300, 582, 10474, 568, 513, 17405, 602, 11479, 519, 1286, 269, 3131, 14651, 568, 513, 23593, 6928, 602, 8383, 919, 11807, 3432, 269, 20134, 15639, 568, 513, 6366, 12483, 610, 3432, 532, 269, 11773, 814, 2097, 547, 519, 5551, 10278, 563, 1432, 568, 519, 1034, 1271, 851, 540, 713, 8666, 286, 6733, 693, 519, 1592, 1586, 543, 30337, 873, 609, 1948, 476, 272, 1034, 11932, 267, 543, 1948, 476, 275, 568, 519, 2547, 1271, 563, 272, 269, 8891, 1503, 630, 514, 1417, 633, 25145, 273, 269, 14265, 322, 32267, 542, 630, 704, 14651, 25145, 274, 269, 25065, 12483, 1315, 17277, 630, 17463, 26739, 25145, 275, 269, 26787, 513, 20121, 1588, 630, 306, 15471, 25145, 763, 1931, 649, 3442, 568, 1360, 10423, 538, 875, 649, 8011, 912, 2252, 8404, 568, 1034, 1271, 267, 938, 1445, 568, 593, 1373, 5059, 543, 2318, 563, 2252, 16177, 568, 519, 1034, 1271, 267, 938, 1445, 568, 2760, 547, 3247, 1256, 952, 519, 1184, 568, 30096, 269, 15566, 676, 4657, 930, 6724, 543, 2119, 1586, 563, 2252, 1967, 568, 1034, 1271, 267, 938, 1445, 568, 593, 3478, 972, 543, 711, 3850, 4896, 547, 3247, 1373, 3811, 563, 2252, 2942, 8710, 568, 519, 1034, 1271, 267, 938, 2773, 568, 693, 1981, 540, 4539, 676, 13581, 532, 1507, 2942, 2621, 269, 11773, 267, 811, 982, 2693, 267, 786, 711, 581, 6913, 563, 2171, 991, 547, 1451, 513, 3992, 689, 519, 2915, 543, 1010, 7633, 269, 3131, 14651, 281, 834, 27594, 4445, 281, 10770, 3375, 10590, 0, 2690, 713, 4901, 5225, 798, 519, 1739, 281, 476, 272, 269, 16294, 543, 2992, 593, 519, 1523, 540, 1979, 32241, 4720, 538, 707, 1378, 1913, 269, 3629, 606, 1383, 689, 519, 15872, 267, 13220, 267, 610, 707, 1378, 14046, 1191, 454, 2690, 713, 4661, 1350, 5417, 523, 798, 519, 1739, 912, 272, 269, 16294, 543, 14719, 622, 593, 519, 1523, 540, 1979, 32241, 771, 28947, 538, 707, 1378, 19039, 766, 269, 21277, 576, 606, 538, 689, 519, 15872, 267, 13220, 267, 610, 707, 1378, 1134, 26455, 14374, 563, 273, 269, 21277, 576, 606, 538, 540, 1979, 16438, 846, 14421, 673, 4763, 689, 713, 3018, 269, 4208, 1281, 713, 4763, 24098, 286, 6201, 17663, 22019, 884, 4109, 1145, 267, 26178, 10892, 267, 3092, 269, 1411, 666, 849, 14374, 538, 519, 5399, 269, 2659, 1202, 1590, 581, 4890, 543, 6870, 538, 1134, 26455, 14374, 563, 274, 269, 7053, 267, 2992, 1958, 597, 743, 532, 519, 1259, 649, 3049, 2221, 269, 5269, 513, 642, 1738, 1588, 1958, 597, 743, 532, 1945, 596, 2992, 9585, 4129, 1518, 538, 14421, 25025, 1813, 547, 5790, 4129, 1518, 610, 2686, 4129, 604, 903, 269, 2755, 713, 568, 20893, 4445, 267, 594, 5821, 519, 642, 1738, 1588, 547, 581, 2673, 543, 16135, 538, 10952, 14374, 689, 519, 4287, 563, 2252, 596, 5821, 547, 14374, 707, 1378, 538, 267, 1745, 1033, 3737, 267, 855, 1350, 5417, 523, 3132, 519, 1134, 26455, 14374, 538, 14905, 2012, 563, 17809, 728, 606, 14905, 2012, 6935, 543, 538, 1349, 1349, 585, 519, 12353, 543, 813, 2105, 733, 337, 643, 1734, 1031, 547, 1196, 1518, 707, 1489, 7868, 14905, 8745, 8830, 16746, 744, 310, 299, 6732, 5675, 6997, 630, 10059, 2517, 25717, 269, 1263, 1501, 4877, 584, 16746, 12975, 270, 25717, 270, 637, 1830, 270, 28794, 270, 6349, 270, 264, 568, 606, 23080, 4192, 733, 337, 643, 766, 547, 10231, 1310, 513, 1247, 713, 0, 6944, 13764, 519, 3557, 281, 25799, 1143, 689, 9147, 18603, 547, 4653, 454, 1607, 1433, 12116, 519, 1646, 540, 519, 3069, 543, 2259, 540, 13338, 1143, 267, 3989, 607, 513, 2797, 1062, 538, 799, 519, 28170, 633, 1379, 540, 519, 1533, 568, 6417, 998, 513, 12683, 2065, 3892, 540, 2797, 1379, 269, 898, 7710, 519, 1292, 28503, 540, 13338, 2259, 538, 3504, 18603, 267, 17044, 7507, 267, 11193, 24131, 267, 519, 10656, 6243, 267, 27867, 10601, 4789, 267, 543, 22733, 10601, 3013, 269, 3245, 922, 4098, 538, 12443, 321, 3780, 262, 7664, 540, 519, 8106, 1523, 540, 6404, 2229, 267, 519, 2278, 15244, 519, 3069, 540, 13338, 1143, 998, 922, 3735, 10120, 5920, 538, 519, 1230, 4290, 3511, 11873, 540, 5939, 6963, 543, 538, 519, 18018, 340, 523, 582, 8878, 540, 12102, 2924, 269, 2991, 15663, 922, 21109, 609, 519, 11944, 540, 519, 4182, 15581, 543, 519, 26636, 15687, 14985, 540, 16285, 267, 519, 2278, 6257, 875, 13338, 1143, 729, 2847, 1882, 538, 519, 2296, 4655, 1063, 4622, 543, 12057, 538, 519, 2038, 26573, 5736, 267, 543, 875, 621, 814, 2919, 2094, 1287, 883, 519, 2413, 1523, 540, 13338, 9111, 563, 28926, 7236, 14244, 546, 553, 533, 612, 334, 553, 910, 10507, 920, 591, 579, 2742, 1835, 6403, 339, 3821, 454, 299, 3869, 1320, 532, 5623, 3682, 322, 3120, 798, 13139, 714, 11456, 910, 16874, 686, 656, 515, 7922, 785, 910, 7732, 1320, 532, 454, 288, 1837, 585, 513, 1362, 799, 8737, 2221, 269, 3778, 540, 13338, 1143, 689, 3504, 18603, 547, 930, 540, 922, 1459, 1651, 7568, 725, 910, 519, 1977, 543, 3703, 1949, 269, 9147, 23723, 1014, 543, 4936, 3267, 700, 518, 1835, 6403, 339, 3821, 14255, 3331, 511, 660, 1122, 571, 454, 272, 634, 1684, 551, 9068, 540, 590, 30371, 14879, 454, 273, 23723, 1014, 22640, 454, 274, 634, 4936, 6243, 454, 275, 22388, 341, 841, 766, 7869, 538, 19744, 4521, 7826, 8278, 3380, 5735, 543, 18018, 340, 523, 582, 11572, 7869, 454, 276, 634, 6243, 540, 24131, 454, 277, 634, 10656, 6243, 454, 11073, 6652, 1196, 328, 9809, 383, 369, 525, 910, 7638, 512, 30186, 454, 20059, 618, 30914, 281, 9743, 4801, 267, 15348, 267, 543, 4521, 281, 30543, 267, 15348, 4429, 2704, 534, 667, 269, 31513, 267, 19365, 808, 269, 30247, 267, 12789, 563, 7468, 2946, 23724, 783, 21289, 23843, 967, 7371, 517, 6403, 767, 910, 476, 1220, 278, 454, 26466, 4520, 2107, 8232, 281, 634, 31664, 585, 5915, 31097, 4635, 17073, 25024, 4429, 7468, 2946, 23724, 783, 21289, 23843, 3970, 3385, 910, 476, 1220, 274, 0, 5575, 267, 6098, 25316, 20191, 3646, 723, 3622, 1044, 14413, 638, 2299, 14102, 267, 1629, 6756, 532, 547, 519, 4057, 267, 543, 20833, 5667, 20980, 269, 6034, 569, 17591, 532, 519, 3312, 13384, 832, 262, 4566, 267, 11299, 262, 533, 5014, 7960, 883, 519, 4295, 1982, 540, 1018, 2221, 568, 890, 329, 528, 8271, 1634, 607, 834, 342, 9175, 563, 2467, 941, 824, 2516, 7255, 827, 519, 1604, 543, 5533, 7620, 19037, 267, 713, 1185, 513, 2603, 547, 798, 609, 6694, 30222, 543, 519, 946, 540, 4620, 10635, 8707, 338, 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 ]
[ 0, 307, 2056, 610, 26356, 547, 26490, 282, 6353, 676, 14699, 282, 1818, 14213, 338, 282, 24407, 569, 22215, 269, 630, 611, 11187, 994, 14300, 540, 2262, 10728, 454, 5445, 946, 519, 2165, 10728, 267, 543, 789, 5581, 834, 12000, 4809, 257, 1519, 1919, 899, 29405, 532, 824, 3214, 267, 607, 1134, 607, 8165, 267, 543, 18644, 267, 543, 811, 5208, 563, 12767, 309, 2464, 281, 634, 25411, 4875, 569, 15061, 15352, 31409, 12038, 540, 519, 3463, 547, 2245, 543, 2528, 538, 6628, 689, 1018, 646, 1572, 10728, 16712, 1143, 563, 763, 6519, 5600, 8387, 3081, 519, 7022, 786, 512, 719, 1018, 789, 1289, 519, 10728, 3268, 519, 7245, 814, 3144, 547, 3142, 519, 4346, 1394, 547, 689, 1490, 1074, 543, 1631, 789, 616, 789, 616, 8149, 547, 23090, 1524, 6115, 781, 9525, 538, 519, 2883, 5823, 563, 5445, 723, 9846, 6836, 547, 31358, 519, 2797, 2497, 972, 267, 519, 13391, 987, 9549, 267, 519, 15194, 12925, 328, 5428, 267, 543, 519, 12150, 338, 267, 543, 20471, 789, 1589, 789, 1294, 513, 1895, 11018, 540, 12658, 599, 8696, 610, 1866, 267, 789, 2119, 547, 3077, 602, 2901, 689, 519, 2011, 610, 267, 952, 789, 666, 267, 676, 1018, 789, 1289, 10728, 538, 7146, 13050, 5734, 7146, 24507, 29862, 338, 883, 519, 2749, 563, 291, 329, 758, 990, 545, 814, 4862, 13915, 1232, 787, 1018, 646, 1572, 606, 834, 12000, 4809, 2437, 543, 1018, 1866, 723, 1572, 606, 818, 5766, 656, 267, 7209, 269, 0, 2171, 1430, 5359, 2161, 12798, 616, 25738, 454, 2784, 2747, 689, 519, 2030, 267, 593, 3567, 781, 5087, 3887, 770, 5032, 2676, 1478, 519, 7414, 563, 293, 27518, 781, 476, 280, 269, 271, 2173, 1725, 3363, 844, 820, 543, 23329, 454, 22563, 770, 730, 3567, 781, 5087, 3887, 770, 5032, 267, 609, 811, 982, 454, 274, 267, 1822, 9672, 4666, 543, 5215, 7508, 563, 302, 1553, 10118, 723, 19230, 1004, 1369, 454, 736, 268, 1789, 14790, 540, 519, 6046, 2030, 547, 2901, 4734, 519, 1858, 610, 454, 297, 3253, 814, 849, 9307, 513, 476, 1789, 10275, 332, 1100, 1922, 569, 454, 29773, 1472, 519, 3135, 547, 2061, 14742, 10825, 519, 454, 2784, 2747, 2417, 7192, 1752, 563, 583, 5215, 540, 1004, 616, 7508, 543, 621, 454, 529, 21787, 693, 2547, 476, 1015, 267, 1822, 949, 723, 1044, 7166, 563, 5415, 982, 476, 4335, 267, 1822, 1004, 723, 1044, 1500, 454, 763, 2229, 814, 18611, 476, 1911, 267, 1822, 454, 339, 549, 3591, 547, 1291, 519, 5351, 4674, 563, 763, 6433, 693, 519, 30738, 2313, 9874, 2030, 910, 799, 454, 935, 13935, 3670, 6046, 26119, 910, 814, 15841, 2094, 519, 454, 24160, 638, 820, 5679, 18088, 856, 519, 9023, 1949, 563, 7336, 657, 687, 4224, 539, 519, 5656, 8027, 454, 516, 716, 832, 835, 543, 1614, 593, 14349, 543, 11728, 563, 4002, 13638, 6640, 513, 3791, 19046, 5734, 454, 516, 18503, 1079, 781, 2679, 269, 589, 3595, 849, 13264, 856, 693, 513, 6170, 454, 325, 3241, 4859, 11432, 693, 519, 1379, 2030, 781, 19720, 2185, 269, 0, 22261, 269, 476, 280, 267, 476, 1220, 280, 1107, 2859, 982, 476, 2412, 260, 540, 2043, 11972, 513, 5732, 1272, 18446, 12558, 540, 606, 20942, 9471, 7227, 1354, 3168, 585, 2564, 7156, 267, 3858, 532, 547, 513, 1007, 1589, 827, 563, 22860, 7370, 2161, 621, 779, 513, 829, 559, 748, 8066, 909, 3014, 267, 543, 811, 2069, 568, 2877, 547, 20882, 2043, 609, 4049, 22740, 8481, 547, 1413, 585, 547, 2253, 609, 5351, 543, 2656, 29260, 948, 1282, 606, 20942, 9471, 563, 2304, 20942, 9471, 949, 581, 513, 1272, 18446, 13027, 5114, 602, 7506, 519, 3003, 1560, 269, 898, 3123, 11926, 602, 666, 1291, 547, 513, 17808, 21572, 267, 32105, 267, 22485, 1973, 2597, 267, 2656, 2295, 2557, 267, 543, 765, 22689, 269, 898, 568, 2808, 513, 9354, 6433, 1317, 593, 519, 1055, 4960, 602, 711, 3533, 5701, 267, 513, 1367, 666, 979, 883, 588, 684, 543, 5884, 563, 2304, 20942, 9471, 17121, 2360, 16700, 25969, 454, 1103, 519, 2015, 267, 10268, 713, 3018, 693, 519, 1977, 5441, 540, 11576, 6638, 267, 8330, 8676, 543, 16332, 1108, 5729, 569, 20051, 538, 24543, 267, 19767, 6594, 476, 6812, 1004, 945, 941, 5701, 538, 606, 6595, 5604, 585, 606, 20942, 9471, 563, 1103, 2489, 267, 519, 3328, 942, 1063, 519, 2253, 540, 606, 20942, 9471, 23053, 543, 5275, 2564, 7156, 729, 476, 736, 3764, 267, 855, 476, 6246, 260, 2143, 513, 1713, 8488, 538, 5275, 2564, 3007, 269, 2986, 1346, 945, 4080, 513, 8488, 267, 1034, 1767, 519, 8488, 729, 2094, 789, 2219, 741, 2427, 2360, 1131, 5884, 1524, 563, 29909, 3368, 1031, 5061, 547, 1521, 741, 606, 20942, 9471, 2427, 2360, 1354, 5275, 9354, 948, 267, 855, 1447, 982, 513, 3791, 609, 513, 4915, 585, 513, 1582, 2987, 915, 762, 3134, 710, 31058, 8929, 1031, 835, 269, 9210, 710, 31058, 568, 519, 1152, 6385, 3811, 2126, 585, 606, 20942, 9471, 563, 10666, 476, 5780, 260, 2219, 741, 2589, 941, 1813, 547, 513, 4049, 28810, 27383, 4323, 543, 476, 10436, 260, 2219, 942, 547, 1413, 585, 2564, 3007, 729, 540, 519, 9759, 269, 4107, 630, 6858, 8472, 14612, 547, 519, 6595, 4055, 676, 1286, 267, 476, 866, 260, 14612, 676, 15063, 6174, 267, 543, 476, 1691, 260, 676, 824, 10522, 563, 2108, 8601, 513, 24534, 1377, 540, 11009, 267, 972, 568, 1869, 4055, 585, 3872, 3631, 547, 581, 8045, 547, 3432, 909, 547, 2253, 609, 5351, 543, 3343, 4274, 29260, 1416, 585, 606, 20942, 9471, 2223, 735, 4680, 11001, 26890, 6511, 2494, 643, 2335, 534, 267, 11022, 267, 540, 29157, 3122, 267, 3687, 333, 1421, 538, 519, 1353, 269, 0, 28803, 918, 2562, 4932, 288, 23154, 5508, 631, 21815, 2562, 28475, 563, 763, 2495, 540, 713, 4542, 568, 4010, 519, 1482, 607, 602, 540, 519, 2063, 269, 634, 851, 540, 621, 1369, 519, 23049, 267, 2705, 267, 2982, 3294, 693, 2899, 547, 581, 513, 2241, 10252, 26517, 5832, 267, 9967, 540, 519, 14743, 524, 543, 546, 543, 741, 8220, 3095, 476, 273, 267, 476, 274, 269, 1403, 649, 946, 585, 713, 519, 598, 268, 8778, 539, 6698, 540, 476, 6795, 267, 543, 4579, 849, 519, 3090, 585, 519, 6292, 513, 267, 536, 267, 649, 723, 10778, 272, 513, 267, 331, 524, 28504, 267, 274, 267, 273, 476, 272, 454, 290, 266, 3267, 1923, 3267, 294, 1405, 3267, 1923, 3267, 595, 266, 290, 1862, 13466, 3267, 595, 349, 454, 1103, 930, 2665, 621, 786, 581, 3833, 6190, 547, 2328, 713, 538, 513, 1869, 10156, 1106, 14178, 519, 946, 540, 938, 5449, 1505, 540, 733, 2350, 268, 512, 542, 267, 607, 16733, 278, 266, 595, 10807, 6902, 610, 3622, 585, 606, 4939, 268, 19507, 5721, 540, 27513, 268, 613, 2130, 630, 290, 266, 290, 260, 266, 328, 1070, 1141, 585, 562, 8424, 540, 14743, 972, 616, 538, 2489, 562, 28363, 268, 1422, 17887, 267, 610, 2864, 7432, 1790, 4202, 630, 290, 1070, 2838, 563, 277, 331, 910, 4813, 592, 572, 585, 932, 1622, 5627, 16242, 268, 3073, 753, 563, 1103, 1931, 547, 1265, 519, 4542, 585, 513, 5832, 799, 3568, 513, 2604, 268, 1418, 621, 568, 4749, 19624, 547, 4952, 519, 18839, 540, 513, 14461, 3693, 585, 519, 8545, 519, 30010, 1373, 15069, 10169, 12012, 538, 12343, 543, 1287, 547, 2981, 519, 4542, 3976, 5833, 676, 519, 556, 268, 12133, 542, 540, 519, 2604, 268, 6716, 563, 1103, 1931, 267, 585, 1383, 267, 547, 2769, 676, 513, 4542, 519, 1216, 2914, 31856, 630, 8993, 269, 476, 6642, 264, 799, 649, 723, 2907, 6743, 693, 267, 649, 949, 1101, 5372, 519, 1216, 676, 513, 24646, 609, 513, 24388, 1738, 3391, 630, 8993, 269, 476, 6245, 264, 865, 11231, 607, 547, 5397, 519, 27513, 2914, 31856, 513, 676, 922, 1378, 2597, 267, 922, 2962, 1373, 3976, 2147, 547, 602, 540, 519, 5714, 585, 799, 621, 568, 2655, 21114, 269, 634, 4542, 786, 2196, 10778, 290, 266, 3267, 1923, 3267, 595, 266, 476, 280, 623, 535, 3267, 4083, 1862, 303, 266, 303, 268, 3267, 910, 325, 3267, 595, 349, 454, 2252, 649, 1631, 1689, 519, 3095, 623, 1990, 3267, 13466, 3267, 623, 1341, 883, 1627, 317, 23099, 907, 1627, 317, 454, 516, 680, 5217, 519, 1216, 585, 922, 10151, 12990, 267, 649, 1590, 2322, 966, 349, 267, 519, 3090, 585, 513, 6077, 540, 1022, 2186, 267, 585, 623, 349, 512, 543, 865, 3489, 607, 513, 4542, 585, 519, 1216, 2914, 31856, 2676, 2252, 621, 2154, 2417, 547, 581, 8612, 602, 519, 8756, 568, 796, 268, 4988, 267, 519, 1216, 1373, 19610, 609, 621, 267, 602, 568, 267, 676, 3196, 12641, 3837, 267, 0, 21812, 2433, 3057, 1723, 15223, 5306, 1074, 454, 17345, 5678, 2433, 2296, 454, 1103, 713, 1576, 596, 786, 1451, 1454, 811, 676, 3257, 267, 982, 1175, 6947, 269, 1924, 713, 568, 711, 513, 11000, 1576, 267, 6140, 596, 723, 547, 3605, 621, 3054, 256, 1809, 596, 798, 1205, 5528, 267, 4282, 1344, 267, 543, 4388, 563, 1607, 1576, 814, 519, 1739, 2185, 3584, 912, 288, 269, 1133, 30584, 540, 2338, 454, 3086, 12997, 1114, 1297, 1949, 616, 1031, 269, 2368, 616, 936, 476, 6110, 271, 1296, 2025, 267, 899, 519, 20770, 1014, 2338, 269, 11524, 616, 811, 2487, 267, 899, 23030, 2338, 1031, 676, 5904, 269, 1656, 1287, 972, 616, 2338, 649, 666, 1405, 1293, 267, 855, 616, 1869, 782, 1472, 721, 269, 769, 713, 1576, 596, 786, 19586, 835, 540, 891, 1297, 1949, 563, 4322, 4296, 616, 782, 1472, 721, 281, 538, 15870, 1949, 267, 6765, 540, 2472, 267, 1857, 3560, 267, 2792, 267, 5201, 5121, 267, 2780, 1239, 267, 17306, 960, 10467, 267, 25786, 942, 7515, 267, 7990, 532, 7851, 267, 543, 811, 256, 2290, 540, 891, 3156, 568, 538, 713, 1576, 563, 1692, 3579, 568, 621, 547, 2736, 513, 3009, 256, 1809, 875, 547, 798, 713, 543, 875, 729, 519, 3009, 1500, 286, 1703, 616, 1114, 2409, 585, 713, 269, 2368, 941, 1031, 1282, 519, 1974, 540, 19332, 543, 519, 5822, 2622, 2782, 269, 1656, 1866, 616, 1031, 538, 15737, 269, 769, 713, 1576, 596, 723, 547, 21264, 5266, 2653, 9479, 267, 855, 1869, 621, 1058, 1491, 596, 930, 942, 547, 2736, 519, 9479, 563, 303, 16993, 616, 782, 1472, 721, 269, 2201, 6821, 267, 10367, 267, 543, 538, 1547, 14168, 3283, 899, 21083, 5515, 543, 6095, 4133, 269, 1656, 1950, 3283, 899, 519, 13495, 601, 321, 8527, 1305, 543, 4672, 14848, 269, 1548, 781, 3297, 519, 3270, 543, 875, 666, 596, 1118, 1007, 3270, 286, 2290, 1259, 596, 1451, 538, 713, 1576, 563, 8855, 267, 519, 811, 5751, 596, 2119, 547, 4194, 267, 519, 6793, 519, 4296, 1831, 538, 707, 2634, 256, 901, 786, 4324, 707, 3206, 12588, 538, 707, 2123, 543, 3318, 1272, 256, 0, 294, 3497, 6140, 538, 519, 15911, 2694, 540, 519, 2197, 267, 30646, 616, 2808, 607, 835, 540, 519, 1034, 14312, 2067, 3536, 856, 972, 563, 303, 17977, 609, 12192, 661, 267, 3940, 267, 543, 22670, 267, 891, 6960, 10808, 616, 3810, 6225, 563, 3719, 2094, 1072, 4966, 723, 1044, 21389, 836, 1782, 827, 519, 1259, 30646, 1058, 581, 10057, 267, 26759, 269, 865, 8898, 610, 6151, 267, 1934, 649, 1232, 1712, 621, 585, 596, 563, 3383, 8898, 30646, 632, 2102, 4733, 32443, 6776, 7408, 454, 7712, 6689, 267, 649, 723, 782, 1044, 5143, 547, 544, 4875, 593, 865, 8898, 30646, 269, 3371, 267, 649, 2995, 596, 1946, 563, 301, 7491, 543, 5452, 2270, 32443, 6776, 3679, 267, 855, 4430, 540, 32443, 6776, 7408, 666, 2014, 513, 17732, 540, 6886, 538, 519, 1560, 563, 4913, 267, 865, 1136, 28115, 919, 519, 32443, 6776, 7408, 267, 3976, 19086, 519, 1981, 563, 10702, 267, 865, 8898, 30646, 616, 811, 3362, 7558, 1043, 982, 6151, 30646, 563, 4517, 267, 789, 616, 13820, 1512, 2336, 3383, 8898, 30646, 666, 948, 1852, 1164, 1973, 2604, 454, 5978, 5051, 25161, 19824, 723, 8507, 538, 513, 2647, 2039, 540, 2295, 1072, 2152, 267, 1519, 1164, 1973, 2604, 610, 13119, 563, 3719, 1810, 1405, 5855, 267, 1382, 2829, 602, 30646, 666, 2333, 519, 2179, 540, 13672, 6874, 665, 641, 515, 1503, 538, 519, 1973, 267, 513, 7623, 602, 568, 1634, 547, 948, 2226, 1973, 2604, 563, 22137, 849, 6961, 602, 865, 8898, 30646, 666, 581, 3833, 2635, 585, 2367, 9907, 476, 1789, 268, 3583, 563, 1103, 1249, 267, 865, 8898, 30646, 666, 948, 596, 6336, 2597, 454, 7712, 513, 1279, 942, 267, 2732, 527, 2103, 723, 1044, 2857, 2056, 6981, 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 ]
[ 568, 519, 1034, 4049, 1106, 540, 15353, 543, 13481, 538, 6379, 630, 301, 29262, 264, 543, 568, 8995, 538, 827, 476, 272, 538, 476, 1789, 268, 4968, 26691, 563, 2691, 1281, 6640, 19210, 1376, 286, 1656, 811, 11932, 267, 950, 1281, 621, 3247, 286, 9737, 476, 2004, 268, 3199, 260, 540, 9176, 2021, 723, 6640, 19210, 267, 543, 621, 4523, 538, 827, 476, 3583, 268, 3199, 260, 540, 26691, 563, 2467, 616, 2947, 3982, 1614, 18881, 5712, 959, 1307, 1562, 2404, 609, 6379, 543, 1142, 835, 5540, 707, 3023, 1272, 538, 3982, 569, 1114, 2081, 454, 29409, 940, 19210, 568, 513, 1455, 10835, 540, 6379, 267, 855, 15353, 666, 849, 581, 513, 1129, 540, 10108, 267, 899, 519, 2770, 610, 7181, 3644, 269, 1703, 616, 513, 1906, 1883, 3604, 1063, 519, 1079, 602, 666, 948, 9176, 2021, 3313, 2436, 789, 1058, 3343, 2564, 3007, 563, 29409, 940, 19210, 568, 513, 5929, 10835, 540, 2038, 6379, 267, 1419, 18473, 855, 7646, 543, 21757, 909, 593, 922, 1378, 676, 519, 1439, 540, 519, 1101, 959, 30478, 269, 6884, 267, 1498, 267, 15353, 543, 13481, 2404, 609, 6379, 616, 4049, 267, 29886, 1279, 1310, 519, 1101, 959, 30478, 563, 10000, 547, 476, 4037, 260, 540, 2021, 1995, 6640, 19210, 1282, 741, 2181, 3913, 3599, 267, 543, 1082, 540, 873, 5855, 602, 789, 949, 711, 581, 3478, 2614, 19256, 1282, 2053, 950, 5329, 1426, 1524, 3884, 1405, 2653, 563, 293, 6136, 267, 972, 616, 1082, 2994, 547, 4383, 15353, 543, 13481, 547, 3895, 513, 2635, 267, 811, 6899, 6379, 269, 3367, 593, 547, 1451, 827, 2009, 8192, 12381, 602, 666, 948, 563, 29797, 699, 6996, 529, 28040, 573, 30946, 630, 295, 294, 264, 666, 2014, 4049, 15353, 543, 13481, 2038, 538, 6379, 269, 6468, 945, 7985, 689, 519, 2783, 4043, 547, 581, 11688, 26938, 547, 32230, 1586, 1813, 547, 4250, 540, 7092, 670, 294, 1586, 563, 1692, 547, 946, 513, 2922, 267, 2067, 267, 543, 1072, 995, 16185, 585, 6640, 19210, 8323, 563, 763, 5162, 14812, 616, 2390, 721, 269, 1412, 307, 529, 519, 4005, 585, 2951, 269, 3509, 2021, 1265, 602, 2951, 1282, 6379, 6770, 1007, 2591, 1256, 950, 10707, 547, 5432, 4025, 563, 2690, 1034, 9176, 2021, 267, 7836, 942, 593, 519, 1930, 1216, 568, 513, 2922, 2534, 267, 855, 7303, 5945, 543, 4227, 12178, 2404, 609, 16351, 1216, 2238, 568, 1271, 585, 3025, 3238, 563, 2691, 707, 6188, 13011, 1014, 5143, 596, 519, 1813, 4266, 585, 707, 6379, 729, 1318, 1472, 519, 14812, 267, 596, 10393, 3459, 11842, 875, 596, 1223, 2347, 782, 519, 9702, 10918, 543, 10516, 28277, 609, 513, 9176, 17987, 538, 6287, 563, 294, 5424, 568, 513, 2067, 4550, 15041, 2045, 267, 1419, 1031, 547, 13468, 5163, 19210, 543, 6379, 6640, 19210, 269, 13518, 1382, 814, 849, 1044, 3370, 593, 1210, 717, 5424, 547, 1521, 15353, 1282, 6379, 563, 6701, 596, 6998, 3054, 2549, 594, 9176, 286, 16393, 594, 581, 9176, 286, 1215, 666, 594, 1265, 856, 952, 594, 993, 9176, 286, 1548, 616, 519, 2038, 6379, 4191, 543, 2589, 888, 8649, 594, 21250, 656, 286, 16393, 594, 581, 9176, 1317, 594, 6415, 2348, 2038, 4191, 540, 6379, 609, 2589, 971, 607, 15319, 543, 2182, 562, 31454, 286, 1772, 31986, 606, 2038, 1129, 540, 6379, 888, 6624, 9176, 2021, 7985, 689, 6640, 19210, 269, 28214, 562, 1021, 748, 782, 519, 942, 2306, 4189, 513, 14312, 7594, 5176, 7543, 585, 930, 563, 29409, 940, 19210, 267, 15353, 543, 13481, 666, 581, 1851, 519, 1101, 6379, 2589, 543, 4191, 4098, 1472, 476, 275, 4374, 547, 476, 277, 4374, 32460, 563, 301, 13835, 543, 13481, 568, 513, 1455, 2783, 1282, 2038, 6379, 267, 543, 1498, 519, 2012, 5267, 621, 1152, 4386, 538, 519, 6640, 267, 15353, 543, 13481, 666, 2049, 20471, 2429, 519, 1554, 563, 1103, 476, 1001, 275, 267, 715, 11266, 4080, 593, 513, 4807, 945, 7691, 538, 519, 31462, 525, 540, 6640, 19210, 602, 1352, 4769, 1406, 723, 1022, 9049, 2589, 282, 1200, 1650, 3366, 547, 6602, 540, 513, 3095, 1063, 519, 9449, 1609, 686, 565, 543, 9049, 563, 6624, 540, 519, 2038, 4191, 540, 6379, 616, 849, 4191, 540, 824, 2168, 2242, 538, 519, 1560, 269, 634, 3803, 8990, 540, 6379, 2501, 609, 513, 2318, 10729, 610, 1973, 6379, 1449, 563, 29797, 699, 6996, 529, 3400, 341, 573, 30946, 568, 15353, 543, 13481, 593, 28335, 269, 898, 781, 1659, 995, 910, 1175, 2307, 4896, 945, 781, 1185, 621, 269, 898, 779, 1434, 602, 519, 2783, 568, 6444, 609, 513, 1554, 540, 922, 1378, 563, 296, 729, 14281, 547, 1451, 602, 14523, 699, 6996, 529, 3400, 341, 573, 30946, 1185, 513, 1554, 547, 1289, 922, 1378, 543, 20938, 602, 713, 18473, 2783, 814, 1044, 6444, 607, 513, 3978, 1966, 269, 3371, 616, 476, 1428, 5013, 827, 3834, 699, 6996, 529, 28040, 573, 30946, 563, 298, 622, 5664, 2023, 543, 13584, 5261, 8452, 538, 1715, 3840, 4975, 593, 5412, 476, 278, 547, 2253, 513, 627, 20071, 13388, 4663, 540, 519, 8262, 11197, 269, 634, 2479, 1673, 9579, 1782, 667, 31866, 1087, 568, 538, 519, 2034, 959, 30478, 540, 1200, 2034, 10424, 6379, 563, 29409, 940, 19210, 568, 835, 540, 519, 1101, 4191, 540, 6379, 543, 666, 2049, 693, 1022, 942, 1282, 519, 1554, 269, 1403, 707, 6640, 19210, 568, 30898, 792, 762, 596, 1223, 723, 3834, 699, 6996, 529, 28040, 573, 30946, 563, 301, 13835, 1419, 5036, 538, 1256, 1354, 596, 1205, 513, 2318, 6379, 1449, 269, 1280, 930, 2021, 267, 519, 6640, 19210, 13978, 2429, 519, 1554, 267, 1247, 585, 1866, 267, 621, 568, 693, 922, 10782, 538, 519, 6640, 563, 296, 4076, 1152, 2479, 1185, 835, 3659, 602, 2760, 4810, 6640, 19210, 267, 855, 1256, 1352, 543, 1200, 4387, 941, 27086, 267, 2523, 1317, 1352, 729, 513, 1164, 1981, 6379, 563, 29797, 699, 6996, 529, 28040, 573, 30946, 568, 513, 3978, 2427, 1198, 540, 6379, 602, 2164, 538, 3665, 15353, 543, 7928, 13481, 563, 1103, 1034, 2665, 267, 6640, 19210, 1282, 6379, 786, 2063, 2394, 519, 476, 1015, 628, 268, 1691, 628, 3018, 540, 6379, 267, 1498, 621, 949, 2063, 3476, 538, 930, 2665, 563, 296, 723, 1044, 606, 6188, 13011, 2732, 23790, 585, 3833, 930, 942, 1631, 269, 1809, 621, 779, 1152, 1044, 2094, 5063, 602, 594, 4076, 1185, 519, 16012, 5133, 540, 6379, 269, 2311, 713, 1448, 267, 594, 6557, 476, 2764, 4374, 2059, 543, 1919, 723, 552, 1078, 909, 585, 803, 3648, 563, 2467, 616, 9748, 540, 4388, 543, 5363, 20726, 4930, 827, 875, 19033, 666, 1831, 513, 8273, 851, 540, 6379, 267, 855, 9039, 2731, 2232, 519, 1888, 538, 513, 10853, 6073, 269, 3371, 616, 513, 1906, 2370, 1919, 19033, 666, 798, 602, 1352, 3580, 2648, 1256, 811, 563, 289, 611, 7362, 568, 835, 540, 519, 1082, 6379, 2589, 3361, 14356, 676, 519, 986, 3101, 10399, 1330, 28410, 998, 707, 1062, 607, 707, 4816, 10953, 269, 634, 4657, 2157, 540, 21110, 543, 1322, 6856, 821, 2333, 5959, 15799, 267, 799, 3123, 3983, 7362, 563, 7069, 3659, 1185, 513, 4816, 4505, 713, 4832, 543, 1352, 5143, 721, 1352, 729, 9176, 1472, 5437, 269, 1306, 4166, 607, 1352, 5143, 721, 267, 782, 519, 8912, 2055, 941, 4280, 269, 1684, 596, 1616, 513, 7911, 610, 8004, 286, 1548, 4408, 798, 596, 723, 13603, 856, 286, 13201, 6640, 19210, 3323, 2943, 888, 29409, 940, 19210, 568, 2965, 519, 1034, 1455, 2564, 2783, 602, 9176, 2021, 3068, 267, 543, 5111, 476, 3199, 260, 540, 1126, 321, 8960, 2021, 4308, 609, 621, 1169, 1554, 563, 763, 2489, 13618, 568, 602, 9176, 2021, 1995, 6640, 19210, 1282, 519, 1101, 959, 30478, 543, 1287, 519, 2589, 540, 15353, 267, 1769, 20243, 1145, 267, 543, 13481, 3274, 14897, 269, 1280, 1082, 2021, 267, 713, 568, 519, 2013, 267, 855, 1018, 827, 519, 824, 2021, 888, 2691, 596, 1265, 856, 596, 616, 9176, 267, 596, 1522, 1745, 10393, 19011, 1540, 547, 6527, 543, 796, 11499, 6878, 563, 2252, 596, 4076, 2479, 1044, 9176, 267, 596, 4076, 4440, 4810, 930, 1106, 540, 6640, 19210, 269, 594, 4076, 1152, 1185, 835, 3659, 945, 2760, 4810, 513, 20726, 540, 6640, 19210, 563, 2026, 594, 729, 10992, 1250, 8912, 1158, 3377, 4609, 713, 6640, 267, 594, 729, 827, 547, 18178, 936, 2943, 1776, 2376, 827, 25562, 5664, 2023, 543, 13584, 5261, 779, 5063, 9307, 6379, 950, 1945, 9575, 1250, 3750, 563, 303, 27389, 3599, 568, 513, 4190, 3364, 282, 2705, 267, 1082, 2021, 798, 711, 3100, 547, 1589, 865, 519, 3003, 942, 789, 616, 9176, 267, 2523, 950, 789, 723, 19228, 267, 29463, 543, 6640, 19210, 563, 292, 961, 523, 1546, 294, 2940, 637, 568, 835, 540, 1346, 1004, 609, 7247, 824, 1004, 3100, 547, 1745, 6899, 4687, 519, 29593, 526, 652, 1919, 269, 6875, 23765, 1849, 10225, 517, 267, 585, 1383, 269, 2201, 1200, 5412, 476, 277, 5920, 593, 519, 1397, 267, 1849, 10225, 517, 21334, 539, 547, 13481, 1412, 320, 1434, 18797, 2053, 513, 1554, 25692, 2252, 519, 1101, 959, 30478, 540, 6379, 568, 513, 627, 20071, 13388, 540, 3586, 1689, 543, 9636, 585, 1312, 596, 543, 707, 7649, 267, 519, 2034, 959, 30478, 4564, 5310, 519, 3750, 540, 519, 7088, 269, 4438, 519, 2034, 959, 30478, 602, 2370, 835, 568, 2469, 547, 3136, 547, 1332, 543, 1020, 563, 5475, 3275, 540, 25127, 3823, 513, 4816, 585, 25562, 5664, 2023, 543, 13584, 5261, 267, 519, 6126, 3377, 729, 6368, 7000, 538, 513, 3948, 593, 741, 4013, 3896, 593, 11728, 563, 9989, 6640, 19210, 3589, 952, 594, 993, 2348, 513, 7911, 610, 8004, 286, 0, 289, 9128, 16800, 19200, 9898, 667, 7838, 5058, 18040, 11223, 17985, 302, 454, 6524, 268, 532, 7701, 1123, 268, 532, 281, 296, 2141, 723, 14254, 1354, 4707, 547, 960, 32372, 29592, 594, 979, 547, 960, 1040, 594, 3323, 960, 1310, 15105, 519, 11356, 32372, 1310, 594, 1224, 519, 11356, 1916, 7628, 1341, 10902, 281, 1282, 519, 4670, 454, 4407, 1341, 8231, 281, 1284, 4769, 1406, 3717, 1247, 933, 941, 4189, 563, 288, 2998, 4016, 547, 2250, 942, 630, 821, 1032, 3516, 815, 835, 1032, 2094, 621, 5949, 2567, 12866, 1296, 3516, 594, 4682, 547, 519, 21050, 923, 563, 292, 1535, 552, 678, 524, 1775, 521, 552, 521, 454, 273, 269, 1691, 269, 13159, 519, 5220, 269, 2422, 1354, 7933, 1005, 270, 12898, 1341, 519, 1655, 10678, 689, 519, 4216, 563, 272, 264, 11408, 1413, 1312, 2081, 1354, 596, 3444, 519, 4155, 563, 273, 264, 3657, 596, 2469, 1753, 2560, 907, 7790, 1107, 3143, 267, 649, 2461, 2469, 547, 513, 13962, 563, 274, 264, 2368, 7853, 13264, 513, 6885, 2560, 907, 1547, 9894, 596, 5873, 4376, 888, 275, 264, 3733, 1453, 5030, 538, 8303, 2560, 907, 4586, 276, 264, 8349, 4682, 547, 10543, 5049, 547, 1451, 3943, 269, 2701, 19927, 513, 2603, 2560, 907, 4586, 277, 264, 634, 1404, 729, 1360, 19309, 269, 1284, 2451, 2560, 907, 4586, 278, 264, 3733, 9393, 2356, 814, 12899, 693, 476, 1321, 269, 876, 543, 2560, 907, 646, 4422, 1394, 547, 960, 563, 279, 264, 594, 729, 8401, 2560, 907, 4586, 273, 269, 1428, 269, 10925, 538, 1282, 610, 1247, 563, 272, 264, 1261, 8593, 856, 540, 5127, 1247, 646, 729, 18069, 563, 273, 264, 1358, 1810, 1406, 3548, 1454, 2560, 907, 519, 1554, 267, 855, 789, 2141, 723, 513, 2462, 7594, 538, 519, 10543, 563, 274, 264, 2701, 1224, 519, 12139, 2560, 907, 1352, 729, 7996, 585, 1200, 8250, 563, 275, 264, 634, 1053, 6743, 1360, 19252, 2560, 907, 519, 3992, 563, 276, 264, 594, 10272, 513, 2603, 540, 4025, 540, 1719, 2560, 907, 594, 729, 593, 9702, 563, 277, 264, 2659, 9393, 7658, 874, 19861, 2560, 907, 596, 941, 856, 563, 278, 264, 1358, 4769, 1406, 3717, 2560, 907, 789, 941, 8384, 519, 4670, 563, 273, 269, 1626, 269, 10925, 538, 1354, 610, 3516, 563, 272, 264, 901, 4670, 5654, 5432, 269, 9894, 333, 1406, 649, 1294, 621, 693, 519, 21576, 1079, 1296, 3516, 888, 273, 264, 589, 1762, 8004, 28520, 9887, 1055, 713, 8115, 2063, 3018, 269, 4173, 7911, 23136, 1185, 2451, 1200, 930, 2395, 2560, 907, 4586, 274, 264, 634, 8055, 1920, 4682, 1394, 547, 2661, 538, 5507, 538, 476, 1960, 271, 269, 1358, 1185, 5030, 972, 2947, 1296, 2560, 907, 4586, 275, 264, 3733, 5925, 568, 2324, 1631, 269, 1358, 30465, 621, 513, 3018, 2560, 1862, 4586, 273, 269, 1704, 269, 3690, 17218, 883, 2296, 269, 2422, 1354, 7933, 1005, 270, 12898, 270, 6112, 563, 272, 264, 2843, 509, 16417 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7646, 795, 16184, 823, 269, 898, 2356, 4991, 1732, 610, 4422, 2476, 593, 922, 1378, 1369, 513, 3018, 610, 1079, 1510, 4929, 2042, 269, 1809, 795, 16184, 823, 1058, 581, 3144, 12517, 269, 769, 4686, 2665, 267, 952, 519, 21536, 597, 889, 514, 1377, 13978, 1164, 543, 3884, 1406, 5701, 267, 621, 666, 2014, 2634, 3441, 1572, 737, 1716, 545, 614, 639, 563, 12663, 5835, 4064, 979, 2476, 593, 922, 1378, 888, 1103, 4079, 267, 795, 16184, 823, 3294, 2356, 3884, 1406, 5701, 269, 1809, 707, 4387, 786, 1521, 519, 2783, 602, 779, 4929, 621, 269, 1403, 596, 723, 8650, 10194, 17537, 267, 795, 16184, 823, 786, 979, 2476, 593, 922, 1378, 607, 519, 6797, 5956, 547, 12115, 269, 1403, 513, 17808, 23925, 13811, 568, 547, 16620, 267, 707, 4387, 949, 2303, 6391, 547, 1930, 621, 563, 1432, 568, 519, 3339, 795, 16184, 823, 1377, 585, 513, 20169, 888, 1103, 513, 20169, 267, 2362, 21536, 597, 889, 514, 568, 3339, 1813, 547, 519, 2566, 540, 4332, 269, 16453, 9940, 21536, 597, 889, 514, 1131, 581, 896, 476, 276, 269, 273, 8406, 7933, 299, 1369, 519, 1101, 476, 2190, 3108, 540, 4332, 269, 1809, 1082, 29507, 723, 930, 2186, 540, 795, 16184, 823, 543, 21536, 597, 889, 514, 2157, 602, 4473, 1657, 476, 276, 8406, 7933, 299, 1369, 519, 1101, 1906, 2395, 1310, 4332, 563, 2691, 1281, 6089, 5144, 795, 16184, 823, 979, 2476, 888, 289, 28320, 609, 6089, 5144, 795, 16184, 823, 2356, 9156, 609, 519, 1318, 2126, 543, 6297, 5464, 269, 634, 2783, 3335, 4422, 2476, 1310, 835, 610, 1079, 4374, 952, 519, 1126, 779, 6797, 3587, 811, 3608, 543, 789, 3136, 547, 8532, 7850, 5666, 540, 5144, 563, 1432, 2681, 568, 795, 16184, 823, 31997, 888, 1607, 568, 1572, 28772, 11043, 795, 16184, 823, 269, 634, 4816, 779, 10729, 568, 2356, 1769, 5835, 543, 519, 22454, 2681, 568, 28401, 5835, 610, 18632, 269, 769, 930, 2665, 267, 519, 1377, 540, 9940, 21536, 597, 889, 514, 666, 979, 1360, 1164, 269, 0, 306, 639, 1061, 2225, 540, 10286, 1850, 2541, 2249, 547, 2699, 548, 13949, 3618, 544, 924, 630, 295, 531, 582, 344, 1372, 639, 3186, 1192, 528, 570, 27462, 264, 3441, 693, 519, 6079, 1782, 3942, 454, 291, 12282, 269, 774, 871, 2001, 288, 32390, 267, 570, 12282, 269, 681, 1749, 323, 650, 4149, 19431, 288, 267, 290, 543, 667, 12282, 269, 717, 14792, 9225, 288, 32390, 454, 288, 3213, 268, 10869, 3194, 10418, 585, 6181, 6979, 538, 11335, 11982, 267, 2160, 540, 5375, 5245, 267, 715, 539, 4133, 267, 5375, 5245, 476, 277, 3445, 278, 267, 5245, 563, 289, 11982, 5375, 5245, 267, 700, 18088, 20045, 3143, 269, 476, 275, 267, 28564, 2917, 24822, 10418, 267, 5375, 5245, 476, 277, 7176, 274, 267, 5245, 563, 290, 595, 10485, 4629, 10406, 540, 9980, 558, 1108, 267, 17721, 20045, 267, 18161, 654, 655, 1076, 344, 267, 5375, 5245, 476, 31430, 275, 267, 5245, 563, 306, 1460, 2249, 540, 10286, 22053, 941, 12290, 585, 6079, 1782, 4187, 547, 519, 2699, 548, 13949, 3618, 544, 924, 267, 16199, 582, 344, 1372, 639, 3186, 1192, 528, 269, 634, 2338, 540, 21746, 593, 2371, 267, 3441, 547, 3762, 543, 2360, 593, 2030, 3819, 2339, 941, 12290, 538, 3903, 543, 1100, 31547, 6901, 269, 12197, 17112, 543, 535, 19487, 10365, 11124, 4049, 3441, 689, 519, 8023, 540, 1804, 2338, 540, 21746, 269, 23225, 518, 21746, 10480, 593, 21378, 2812, 799, 11124, 1447, 3441, 269, 631, 2572, 3361, 4049, 3441, 547, 519, 28422, 344, 1194, 976, 855, 14320, 1447, 3441, 547, 519, 3020, 3762, 540, 7522, 6122, 2378, 539, 561, 1575, 1231, 269, 4014, 21746, 941, 1459, 593, 519, 3762, 540, 11549, 639, 561, 1575, 1231, 519, 2371, 11124, 1100, 3441, 543, 972, 729, 1100, 1198, 540, 21746, 593, 741, 9496, 610, 3597, 3819, 12035, 269, 3143, 21746, 941, 1336, 593, 7105, 701, 553, 543, 1100, 3441, 729, 2938, 269, 1879, 21746, 941, 2016, 513, 3903, 540, 2249, 547, 3049, 593, 267, 519, 3448, 3441, 547, 1142, 2249, 729, 2147, 547, 602, 1336, 950, 21746, 1185, 1100, 3903, 269, 634, 9868, 729, 21378, 2812, 799, 941, 5266, 1447, 8697, 982, 538, 519, 1100, 31547, 4603, 563, 24456, 10466, 22588, 569, 630, 1960, 278, 264, 476, 1321, 630, 274, 264, 476, 15221, 268, 13893, 269, 0, 6343, 568, 519, 1034, 1271, 3815, 3743, 585, 688, 655, 18331, 547, 957, 607, 5135, 15298, 454, 27860, 2404, 609, 519, 646, 1889, 25907, 5135, 269, 898, 568, 519, 4401, 538, 24562, 602, 3947, 1973, 922, 2699, 2681, 269, 898, 568, 4443, 547, 12622, 513, 2034, 543, 3791, 5135, 11140, 547, 670, 321, 982, 519, 1101, 11140, 269, 901, 568, 1317, 519, 24562, 11140, 2242, 922, 3337, 267, 610, 598, 4146, 267, 607, 5135, 25907, 563, 32091, 19664, 267, 1411, 2811, 10950, 269, 1284, 616, 19914, 547, 581, 5363, 269, 1403, 596, 17329, 938, 3028, 5225, 2046, 899, 1532, 583, 2023, 22290, 2626, 2361, 269, 11289, 596, 2336, 6343, 616, 519, 2101, 2472, 585, 519, 6491, 1674, 540, 547, 1663, 2940, 543, 1946, 0, 19254, 17819, 6191, 5373, 454, 21995, 2986, 631, 3739, 10724, 1923, 19877, 7726, 543, 4267, 454, 276, 269, 4147, 1518, 5127, 1826, 17819, 3684, 269, 11822, 343, 267, 5918, 14658, 543, 2468, 14658, 3684, 269, 476, 277, 269, 1548, 616, 519, 1585, 2010, 540, 2027, 3483, 17819, 6191, 27085, 15585, 776, 3349, 610, 6024, 17819, 3684, 267, 3220, 636, 1826, 17819, 3684, 28483, 610, 26048, 17819, 3684, 269, 476, 278, 269, 5903, 519, 1585, 2010, 540, 17819, 27589, 563, 290, 10998, 7085, 5358, 6201, 910, 4477, 2006, 18981, 454, 322, 333, 322, 17819, 3684, 5752, 267, 524, 333, 322, 1984, 5752, 1806, 267, 18862, 267, 717, 543, 631, 14691, 585, 18981, 631, 3739, 26682, 18981, 7085, 14691, 11644, 1210, 717, 11011, 9214, 11365, 14691, 901, 18981, 1984, 5752, 3635, 786, 2285, 596, 811, 2856, 547, 1174, 5373, 543, 875, 547, 1265, 3169, 11282, 540, 1142, 5373, 1448, 563, 30787, 268, 10000, 543, 4635, 513, 5484, 577, 5440, 3220, 650, 19072, 650, 585, 9605, 15767, 454, 1607, 3684, 568, 513, 4999, 16590, 2046, 543, 7299, 17819, 3684, 609, 513, 2220, 633, 331, 2212, 602, 3514, 1250, 6578, 267, 855, 8604, 5230, 1673, 14280, 2614, 585, 519, 6617, 594, 2877, 585, 1250, 32205, 3156, 269, 634, 2212, 849, 12651, 543, 24506, 593, 513, 6241, 547, 4188, 585, 1114, 7306, 540, 960, 6006, 563, 300, 3739, 10724, 20668, 1299, 10434, 2264, 910, 9049, 290, 11633, 18242, 454, 8340, 631, 3739, 10724, 20668, 1299, 10434, 2264, 693, 9049, 290, 11633, 18242, 267, 7674, 519, 4496, 11529, 267, 3106, 267, 543, 631, 4629, 6080, 585, 936, 476, 4037, 1296, 454, 30761, 631, 3739, 10724, 11554, 20232, 769, 25157, 454, 30761, 631, 3739, 10724, 11554, 20232, 769, 25157, 269, 631, 3739, 3684, 5755, 8860, 2990, 543, 2324, 1184, 5755, 1984, 19254, 1984, 3684, 2324, 6240, 986, 2096, 1180, 1984, 5755, 8860, 1184, 568, 519, 1184, 540, 5755, 729, 7745, 543, 922, 2627, 1858, 2799, 2326, 538, 519, 1101, 2990, 547, 21432, 8860, 269, 13378, 6732, 454, 30470, 268, 274, 1923, 4400, 6261, 518, 18504, 966, 10157, 338, 1923, 476, 2412, 6874, 1653, 1923, 27718, 26682, 454, 763, 12794, 553, 966, 300, 10022, 6191, 616, 1164, 26024, 966, 10157, 338, 602, 1683, 519, 6111, 267, 6551, 7190, 267, 543, 8143, 6617, 2838, 585, 9044, 1818, 267, 1907, 1299, 5884, 960, 267, 543, 824, 1164, 1790, 13440, 1707, 6080, 563, 300, 3739, 10724, 910, 3400, 321, 21020, 454, 1607, 568, 24018, 676, 803, 609, 948, 689, 1776, 1788, 799, 568, 513, 476, 273, 323, 10380, 10198, 5373, 540, 513, 631, 3739, 10724, 602, 1775, 3893, 689, 938, 1153, 3919, 563, 300, 3739, 26682, 910, 717, 686, 3960, 569, 454, 300, 3739, 26682, 269, 8525, 12025, 269, 23037, 1635, 269, 12313, 1269, 476, 7742, 476, 876, 547, 1269, 476, 278, 5392, 476, 4200, 1269, 476, 16020, 476, 876, 547, 1269, 476, 275, 267, 15886, 476, 4200, 1269, 476, 276, 267, 1822, 476, 876, 547, 1269, 476, 280, 267, 15886, 476, 4200, 1269, 476, 1015, 267, 1822, 476, 876, 547, 1269, 476, 2190, 267, 15886, 476, 4200, 269, 15952, 269, 717, 686, 3960, 569, 19255, 16737, 3162, 645, 754, 21145, 269, 10395, 1588, 4678, 515, 5336, 1571, 4429, 27908, 3220, 1571, 910, 3400, 5424, 11633, 18242, 454, 19352, 532, 1447, 5201, 267, 476, 272, 25686, 1984, 7933, 18115, 6191, 616, 3335, 1031, 585, 4130, 6009, 267, 971, 607, 538, 513, 10821, 610, 1507, 1870, 4259, 269, 476, 274, 25686, 6191, 616, 1732, 14018, 547, 3677, 5010, 270, 8114, 12009, 3156, 269, 476, 272, 630, 3953, 264, 3267, 631, 3739, 26682, 349, 7804, 650, 543, 7085, 4964, 525, 454, 1440, 4532, 7625, 2694, 540, 17819, 3684, 609, 5373, 454, 300, 3739, 10724, 281, 20668, 543, 11554, 910, 803, 577, 275, 13231, 344, 269, 634, 2596, 17819, 3684, 2694, 616, 3490, 267, 6241, 267, 818, 4011, 267, 12597, 267, 521, 18150, 267, 3349, 267, 936, 327, 4474, 6186, 267, 6173, 908, 17684, 267, 15155, 3092, 269, 1452, 2694, 616, 3743, 585, 1697, 2324, 540, 17819, 3684, 269, 631, 3739, 10724, 281, 20668, 543, 11554, 269, 631, 3739, 568, 513, 7344, 3684, 799, 568, 1031, 547, 2577, 1441, 796, 22131, 20470, 2816, 563, 300, 21815, 2562, 5058, 20525, 2207, 25972, 6730, 631, 21815, 12114, 9215, 5357, 306, 454, 300, 22389, 1907, 1572, 513, 17819, 3684, 9736, 1220, 273, 3627, 25067, 1299, 25860, 267, 5549, 269, 631, 269, 623, 269, 23108, 1478, 267, 968, 293, 1495, 22954, 540, 7073, 19007, 476, 273, 27160, 892, 7612, 476, 2641, 269, 274, 910, 10521, 3029, 540, 17819, 912, 290, 9051, 1984, 910, 9504, 454, 288, 10412, 1984, 568, 513, 2679, 8027, 18343, 610, 22805, 12227, 585, 519, 2504, 540, 20612, 610, 12308, 689, 10412, 267, 606, 1271, 1587, 1282, 519, 11633, 7169, 538, 519, 1646, 540, 519, 12051, 1062, 907, 4014, 930, 941, 9141, 676, 3662, 1379, 267, 1034, 2038, 14200, 941, 3710, 538, 6917, 2127, 693, 3728, 1922, 27172, 8933, 543, 12535, 1210, 1216, 14743, 585, 1379, 563, 332, 3739, 3684, 910, 10765, 3631, 1923, 476, 274, 291, 21957, 7844, 14635, 454, 19185, 585, 4647, 762, 476, 274, 291, 8228, 3631, 267, 6272, 267, 543, 21957, 6119, 286, 15012, 519, 3400, 321, 21020, 7991, 547, 1205, 1569, 547, 476, 273, 269, 276, 2929, 1863, 21957, 6119, 689, 519, 4102, 4015, 540, 3318, 9858, 267, 8030, 267, 9755, 267, 543, 1053, 593, 519, 4541, 563, 1805, 320, 539, 339, 2401, 26004, 3684, 5373, 4604, 9370, 570, 1815, 333, 4815, 589, 274, 2450, 5254, 5780, 272, 5025, 274, 269, 476, 275, 269, 275, 856, 540, 476, 276, 6801, 476, 12573, 269, 1269, 15686, 269, 4097, 1269, 476, 15686, 269, 476, 4097, 269, 1269, 276, 269, 3445, 11288, 269, 8307, 476, 1015, 2451, 538, 6006, 910, 1931, 4166, 269, 2859, 11370, 3539, 932, 7860, 1269, 10755, 269, 876, 630, 275, 1031, 1299, 1007, 3091, 264, 589, 273, 8751, 273, 14301, 8274, 609, 30633, 532, 10724, 269, 476, 276, 269, 271, 856, 540, 476, 276, 6801, 476, 272, 269, 1269, 272, 267, 4335, 269, 876, 1269, 476, 272, 267, 4335, 269, 476, 876, 563, 289, 16466, 1636, 631, 3739, 10724, 20668, 30894, 10022, 594, 297, 543, 476, 273, 297, 454, 300, 3739, 10361, 13571, 7348, 476, 272, 297, 476, 6858, 330, 321, 269, 631, 3739, 10361, 17121, 7348, 476, 272, 297, 476, 6812, 330, 321, 269, 5295, 16376, 630, 24314, 22680, 7392, 264, 476, 6812, 330, 321, 269, 5295, 12890, 1344, 476, 4375, 330, 321, 14301, 1948, 277, 476, 5379, 330, 321, 269, 7043, 15994, 543, 9061, 16376, 21115, 342, 6176, 476, 6321, 330, 321, 269, 476, 272, 297, 20668, 5903, 630, 295, 272, 555, 745, 670, 27244, 264, 476, 7830, 330, 321, 269, 476, 272, 297, 20668, 5903, 630, 297, 272, 555, 745, 631, 7761, 264, 476, 7176, 330, 321, 269, 6513, 338, 543, 12793, 593, 834, 297, 257, 7392, 10361, 476, 4037, 330, 321, 269, 681, 279, 2051, 2280, 17435, 5014, 269, 17435, 5014, 4429, 290, 333, 322, 631, 3739, 10724, 14301, 693, 27006, 11749, 2917, 2593, 1923, 10812, 454, 5472, 519, 1655, 595, 333, 322, 631, 3739, 10724, 14301, 476, 3953, 266, 6394, 593, 713, 2985, 269, 18461, 1863, 547, 2263, 267, 1353, 543, 2972, 10367, 609, 27006, 11749, 2917, 2593, 454, 300, 3739, 3220, 3739, 10724, 538, 681, 784, 17540, 3220, 3739, 4675, 17067, 454, 763, 17819, 17656, 3684, 3091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10852, 23922, 825, 1286, 5443, 8548, 664, 3488, 13231, 344, 318, 2908, 318, 10401, 6831, 739, 338, 10734, 2435, 5073, 8199, 1607, 786, 2196, 519, 4603, 543, 1820, 519, 2164, 547, 519, 23641, 780, 2162, 10390, 692, 1103, 713, 3296, 267, 649, 723, 8268, 519, 25844, 523, 595, 9915, 6755, 531, 1399, 4578, 31401, 7097, 538, 1469, 269, 1284, 723, 2938, 875, 519, 7097, 3096, 19585, 6898, 547, 3313, 799, 4603, 547, 2196, 543, 875, 519, 2387, 16535, 318, 10401, 318, 706, 531, 13237, 1599, 568, 1031, 547, 1685, 519, 4890, 4603, 269, 1284, 723, 849, 4121, 827, 519, 1114, 6724, 602, 666, 581, 1305, 547, 1852, 519, 2623, 540, 519, 7097, 269, 2060, 713, 1702, 267, 596, 1058, 581, 2111, 547, 12189, 519, 7097, 585, 707, 1378, 6901, 543, 2744, 1007, 4030, 883, 519, 2773, 540, 1114, 11938, 2409, 543, 8760, 2042, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 25275, 13117, 4499, 2525, 454, 825, 1948, 4449, 27334, 300, 2894, 595, 9915, 18027, 2793, 299, 31159, 667, 25353, 12327, 25807, 8379, 19006, 454, 825, 1948, 815, 25275, 25275, 7529, 4499, 454, 825, 952, 1193, 9852, 1712, 264, 2652, 1412, 13231, 344, 318, 2908, 318, 10401, 6831, 739, 338, 10734, 2435, 12466, 1038, 10822, 318, 10401, 318, 706, 531, 263, 9953, 8782, 5035, 545, 3299, 3818, 318, 5035, 25716, 267, 544, 742, 25716, 267, 882, 1933, 18989, 994, 1038, 10822, 318, 10401, 318, 706, 531, 263, 9953, 284, 272, 267, 3818, 318, 5035, 25716, 267, 544, 742, 25716, 267, 882, 1933, 18989, 2020, 825, 8640, 1193, 9852, 1712, 264, 2652, 1412, 13231, 344, 318, 2908, 318, 10401, 6831, 739, 338, 318, 21459, 318, 5035, 12466, 1038, 10822, 318, 10401, 318, 706, 531, 263, 9953, 8782, 5035, 545, 3299, 3818, 318, 5035, 18989, 267, 544, 742, 25716, 267, 882, 1933, 18989, 994, 1038, 10822, 318, 10401, 318, 706, 531, 263, 9953, 284, 272, 267, 3818, 318, 5035, 18989, 267, 544, 742, 25716, 267, 882, 1933, 18989, 2020, 825, 8640, 1193, 9852, 1712, 264, 2652, 1412, 13231, 344, 318, 2908, 318, 10401, 6831, 739, 338, 10734, 2435, 8548, 742, 12466, 1038, 10822, 318, 10401, 318, 706, 531, 263, 9953, 284, 272, 267, 3818, 318, 5035, 25716, 267, 544, 742, 18989, 267, 882, 1933, 18989, 2020, 825, 8640, 1193, 9852, 1712, 264, 2652, 1412, 13231, 344, 318, 2908, 318, 10401, 6831, 739, 338, 318, 21459, 318, 5035, 8548, 742, 12466, 1038, 10822, 318, 10401, 318, 706, 531, 263, 9953, 284, 272, 267, 3818, 318, 5035, 18989, 267, 544, 742, 18989, 267, 882, 1933, 18989, 2020, 825, 3116, 912, 1038, 2132, 476, 271, 692, 825, 2132, 476, 272, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1286, 5443, 8548, 664, 3488, 13231, 344, 318, 2908, 318, 10401, 6831, 739, 338, 10734, 2435, 8548, 742, 5073, 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, 3848, 476, 277, 281, 13216, 10606, 910, 589, 17714, 883, 513, 1715, 17435, 3290, 540, 7464, 543, 22569, 2435, 692, 1103, 938, 6310, 3460, 267, 649, 723, 8268, 1585, 1297, 1949, 971, 607, 2067, 2338, 267, 2898, 2338, 267, 9981, 267, 7787, 2338, 267, 543, 19450, 2338, 269, 1717, 267, 972, 616, 1869, 930, 4834, 602, 649, 3112, 4194, 609, 891, 1297, 1949, 269, 1280, 3236, 267, 2119, 6061, 519, 3830, 1535, 317, 273, 815, 910, 272, 269, 1411, 786, 8275, 602, 1100, 1483, 1871, 540, 1535, 666, 14183, 713, 3830, 269, 1677, 2232, 713, 20159, 267, 22697, 5189, 513, 1007, 1297, 1062, 1572, 1950, 2338, 269, 901, 3184, 12538, 2620, 883, 519, 4241, 1158, 540, 1950, 2338, 267, 741, 3601, 267, 4238, 267, 543, 3156, 780, 277, 269, 272, 1548, 3657, 13216, 10606, 2496, 288, 1950, 1297, 568, 606, 10288, 6292, 540, 1483, 2338, 6719, 607, 630, 320, 267, 536, 1070, 1141, 513, 4564, 519, 1483, 851, 543, 536, 18575, 519, 16494, 851, 269, 634, 3090, 1412, 328, 262, 568, 1031, 547, 2099, 519, 4009, 3597, 540, 910, 272, 267, 1775, 4318, 1421, 1775, 815, 20734, 8987, 272, 1040, 4935, 267, 1169, 1950, 1297, 814, 1079, 3334, 1107, 513, 1483, 5057, 630, 320, 264, 543, 606, 16494, 5057, 630, 321, 1040, 1284, 2328, 513, 1341, 1979, 547, 20301, 513, 1950, 1297, 267, 1141, 513, 543, 536, 616, 1483, 2338, 269, 1280, 1383, 267, 476, 276, 1341, 476, 274, 328, 267, 910, 273, 1341, 476, 278, 328, 267, 543, 476, 275, 910, 476, 1556, 328, 616, 782, 1950, 2338, 780, 277, 269, 273, 634, 7464, 7089, 7412, 5288, 269, 634, 13216, 1773, 2033, 692, 763, 1305, 540, 1483, 2338, 3029, 513, 1899, 267, 1634, 607, 519, 1483, 1297, 1899, 269, 6684, 267, 1950, 2338, 1106, 513, 7077, 1572, 519, 1950, 7077, 610, 14803, 663, 6516, 269, 3962, 1448, 538, 713, 7077, 14687, 547, 513, 2189, 1950, 1297, 543, 13030, 17930, 269, 7612, 476, 272, 2982, 875, 1483, 543, 16494, 2694, 540, 513, 1950, 1297, 3313, 922, 2990, 538, 519, 1950, 7077, 780, 263, 11900, 1068, 12005, 281, 13216, 1773, 2033, 610, 14803, 663, 12810, 2020, 8201, 476, 272, 281, 13216, 1773, 2033, 610, 14803, 663, 12810, 692, 277, 269, 274, 3525, 15252, 543, 21261, 540, 513, 13216, 7089, 692, 2690, 1022, 1875, 14706, 1950, 1297, 1990, 815, 513, 1341, 1979, 267, 922, 29870, 610, 6207, 1871, 568, 3989, 607, 519, 3845, 1063, 519, 5169, 543, 519, 1448, 8204, 1990, 538, 519, 1950, 7077, 269, 7527, 1227, 267, 621, 568, 2016, 676, 4399, 3847, 347, 345, 9368, 347, 7807, 6912, 13997, 320, 8703, 273, 15396, 346, 321, 8703, 273, 3686, 10608, 634, 4661, 540, 513, 1950, 1297, 568, 519, 5086, 1500, 676, 519, 1899, 11836, 519, 5169, 543, 519, 1448, 8204, 1990, 609, 519, 2318, 4287, 540, 519, 1483, 7852, 269, 898, 568, 20922, 676, 2415, 18750, 1040, 8074, 602, 1312, 29870, 543, 4661, 616, 3818, 29705, 4240, 3252, 1813, 547, 519, 13350, 2470, 540, 25066, 3252, 3238, 538, 12719, 519, 4661, 269, 25867, 2418, 540, 29870, 543, 7440, 616, 2356, 2808, 950, 2324, 609, 1950, 2338, 780, 277, 269, 275, 9978, 15051, 593, 13216, 10606, 692, 4131, 721, 1631, 2263, 2596, 12980, 4238, 899, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 540, 1950, 2338, 269, 1452, 4238, 1246, 2147, 3652, 607, 1346, 585, 15821, 7215, 5473, 4632, 269, 1879, 4946, 610, 18946, 1950, 2338, 267, 3274, 1039, 610, 10208, 7222, 1483, 543, 16494, 2694, 14384, 269, 18527, 3322, 2733, 5737, 3959, 2059, 609, 2695, 2130, 519, 2165, 5627, 1412, 328, 8339, 10406, 3340, 14921, 519, 19362, 543, 14009, 676, 519, 31669, 540, 519, 14009, 269, 1230, 24503, 919, 540, 1950, 2338, 1990, 815, 513, 1341, 1979, 616, 5833, 676, 4657, 519, 1129, 540, 519, 16494, 851, 267, 1775, 4318, 1421, 4399, 28235, 346, 345, 13157, 320, 1532, 328, 16859, 277, 269, 276, 25024, 540, 1775, 692, 303, 10183, 540, 1775, 949, 3100, 14845, 7620, 267, 855, 789, 2965, 10956, 538, 513, 4783, 269, 27297, 519, 4806, 2630, 1384, 259, 346, 328, 8703, 272, 13157, 328, 14204, 259, 346, 328, 8703, 273, 18098, 6912, 24877, 272, 4153, 9392, 1422, 6912, 24877, 272, 13157, 268, 272, 14204, 259, 346, 328, 8703, 274, 13157, 346, 328, 8703, 273, 4153, 9392, 1775, 15871, 272, 24585, 1775, 15871, 328, 14204, 259, 346, 328, 8703, 275, 13157, 346, 328, 8703, 273, 4153, 9392, 2715, 328, 8703, 273, 13157, 7268, 6912, 24877, 272, 2410, 264, 8703, 273, 4153, 9392, 22570, 6912, 24877, 272, 2410, 264, 8703, 273, 13157, 346, 8987, 272, 264, 8703, 273, 13157, 272, 6911, 5804, 1934, 267, 519, 7060, 3136, 18110, 1310, 1169, 8772, 1379, 269, 9747, 267, 20270, 328, 8703, 276, 13157, 346, 328, 8703, 275, 4153, 9392, 1775, 284, 272, 24585, 1775, 284, 328, 8961, 543, 865, 8521, 780, 277, 269, 277, 1546, 7720, 643, 516, 781, 14497, 692, 5719, 7720, 643, 516, 781, 11532, 2636, 721, 547, 12337, 5072, 543, 7060, 540, 1950, 2338, 3362, 1510, 7900, 32462, 9273, 269, 9717, 513, 1875, 14706, 1950, 1297, 1269, 345, 284, 337, 7268, 6523, 1422, 9064, 1341, 328, 315, 7562, 1422, 9064, 3738, 8961, 1141, 678, 568, 519, 29870, 543, 16564, 568, 519, 4661, 267, 1287, 20270, 345, 8703, 333, 4151, 11224, 1269, 337, 18898, 7268, 6523, 562, 24592, 266, 328, 315, 7562, 562, 24592, 30879, 15531, 32671, 5072, 5205, 13974, 282, 952, 530, 568, 606, 32671, 3597, 540, 1990, 267, 1287, 1269, 342, 284, 337, 17353, 2765, 346, 272, 2410, 333, 3686, 7268, 6523, 1422, 2765, 3189, 9064, 266, 273, 330, 19570, 25452, 333, 15396, 328, 315, 7562, 1422, 2765, 3189, 9064, 266, 273, 330, 19570, 25452, 333, 348, 7751, 585, 737, 815, 476, 271, 267, 476, 272, 267, 10371, 1421, 562, 268, 272, 780, 277, 269, 278, 10241, 540, 13216, 10606, 692, 4467, 14658, 2338, 1265, 3875, 3156, 2066, 1114, 4610, 899, 6323, 267, 4702, 267, 2780, 12449, 267, 5365, 4393, 267, 5714, 6384, 267, 1852, 3069, 267, 3092, 269, 1358, 1404, 513, 2629, 1909, 538, 9781, 5951, 18640, 267, 5122, 11387, 267, 14251, 725, 267, 21513, 267, 13590, 9259, 267, 1761, 2095, 267, 6617, 2079, 267, 5955, 1949, 267, 6882, 1374, 267, 543, 1082, 811, 269, 5047, 267, 1950, 2338, 1683, 17715, 3435, 547, 12166, 2042, 998, 14883, 531, 11837, 267, 799, 28933, 7285, 1063, 14258, 543, 16881, 13321, 7294, 5546, 883, 12863, 3283, 780, 2026, 596, 9096, 2542, 713, 3184, 267, 1491, 513, 4090, 547, 5660, 875, 2484, 6128, 814, 3144, 721, 31539, 2241, 10203, 2338, 547, 6946, 1950, 2338, 6679, 9885, 547, 4359, 1966, 9010, 2553, 269, 3807, 899, 3695, 3309, 5380, 27862, 1514, 2257, 1382, 630, 553, 5941, 538, 519, 4367, 1070, 5887, 1005, 4514, 883, 7493, 2035, 3376, 839, 707, 6310, 20030, 267, 5807, 513, 1732, 9787, 540, 9583, 20775, 3584, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1001, 3199, 278, 269, 30033, 279, 18192, 272, 454, 20428, 281, 4317, 7070, 267, 10263, 7070, 27511, 281, 8682, 31193, 267, 1826, 476, 273, 3987, 267, 11082, 267, 1072, 1949, 267, 5312, 3676, 267, 12007, 1353, 267, 6197, 1689, 267, 21044, 2079, 267, 8739, 324, 1595, 1227, 27797, 267, 14351, 27048, 454, 15697, 281, 476, 866, 5147, 476, 1001, 279, 630, 876, 281, 4510, 281, 4097, 595, 12239, 994, 22137, 9236, 8502, 543, 3461, 5784, 543, 2833, 540, 1582, 31193, 1369, 3119, 3782, 616, 3226, 17077, 538, 27797, 5468, 269, 769, 713, 12007, 1353, 267, 3461, 543, 8502, 11994, 540, 1582, 31193, 941, 11567, 538, 2947, 8739, 3887, 1595, 1227, 27797, 2950, 538, 14351, 27048, 269, 3828, 10679, 1367, 11042, 543, 1614, 1895, 11042, 941, 5342, 269, 12054, 328, 3613, 19099, 5967, 10274, 3769, 2055, 593, 11994, 540, 3987, 5868, 267, 3987, 1416, 2533, 2139, 693, 3119, 1072, 1416, 7740, 267, 3461, 543, 8502, 4205, 267, 543, 1582, 31193, 1489, 269, 4578, 729, 21845, 1210, 21044, 2079, 269, 5565, 936, 31186, 4798, 941, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 7089, 7010, 1315, 13216, 10606, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2349, 334, 1682, 888, 23409, 3648, 5222, 519, 28480, 540, 2603, 639, 5810, 269, 20769, 639, 2371, 2154, 513, 5934, 540, 3670, 3108, 540, 1463, 7943, 3232, 585, 19993, 2208, 543, 28480, 269, 634, 1769, 7506, 519, 15591, 1184, 267, 799, 568, 2629, 547, 519, 2030, 779, 2702, 547, 3132, 519, 1426, 621, 2115, 547, 1332, 543, 16036, 269, 9453, 6190, 1769, 267, 519, 28480, 1184, 538, 2603, 639, 5810, 666, 581, 12042, 1229, 267, 4929, 519, 5810, 547, 1332, 4130, 610, 16036, 1447, 4749, 269, 4475, 267, 585, 2635, 543, 7524, 2603, 639, 18742, 267, 15792, 7943, 568, 513, 1590, 563, 12663, 20769, 639, 25204, 519, 3689, 5729, 1411, 7233, 898, 888, 23777, 1227, 267, 20769, 639, 2371, 798, 711, 16036, 538, 741, 1101, 1032, 269, 634, 3355, 1032, 568, 2356, 6170, 3384, 513, 2178, 3597, 1062, 543, 3762, 269, 634, 28480, 5123, 1419, 5956, 538, 519, 2034, 1032, 267, 3177, 602, 519, 2030, 568, 2016, 3617, 2175, 585, 2208, 563, 12663, 20769, 639, 25204, 5272, 5729, 888, 8133, 267, 519, 20769, 639, 2030, 1281, 16036, 1169, 1032, 269, 901, 21064, 12748, 2030, 568, 1634, 585, 922, 4190, 543, 10058, 5810, 799, 267, 2016, 519, 1697, 1416, 543, 2175, 267, 786, 16036, 12422, 269, 634, 28480, 1974, 3335, 4386, 1282, 519, 15911, 3275, 540, 519, 1032, 267, 3226, 538, 4832, 563, 19675, 594, 16458, 3650, 20769, 639, 2349, 334, 1682, 888, 8133, 267, 596, 1058, 4666, 3650, 20769, 639, 18742, 2899, 789, 723, 4628, 16036, 539, 543, 3323, 547, 530, 2830, 269, 16458, 3650, 532, 267, 610, 519, 1184, 540, 9427, 535, 12184, 610, 4666, 5810, 267, 7512, 519, 2030, 547, 28570, 922, 1648, 2509, 2208, 543, 6721, 1007, 32395, 267, 7551, 5009, 513, 8902, 267, 811, 7524, 2030, 269, 1717, 267, 581, 6297, 711, 547, 11145, 519, 6079, 10540, 338, 267, 607, 20769, 639, 2371, 29608, 998, 5452, 8659, 1369, 891, 10540, 338, 563, 12749, 30258, 513, 631, 1155, 20769, 639, 2904, 17547, 10046, 1359, 454, 288, 9921, 20769, 639, 949, 3247, 15496, 1813, 547, 1896, 4128, 269, 19768, 540, 6190, 7943, 568, 513, 1455, 2014, 267, 607, 20769, 639, 2371, 2154, 2407, 3141, 585, 6099, 28480, 269, 634, 2030, 1590, 4309, 693, 2547, 3670, 3108, 540, 1463, 7943, 1142, 1554, 563, 5194, 2601, 568, 16789, 22289, 269, 20769, 639, 2371, 991, 513, 7059, 13226, 585, 2635, 2208, 543, 15496, 269, 1403, 519, 2030, 568, 711, 3478, 519, 1318, 5567, 267, 621, 949, 24044, 547, 16036, 563, 15563, 267, 16283, 1216, 2175, 666, 849, 17225, 15496, 269, 20769, 639, 2371, 8853, 538, 9350, 543, 3636, 1216, 269, 1403, 519, 1216, 568, 1932, 4411, 267, 1932, 24360, 267, 610, 519, 2030, 568, 711, 24760, 2620, 2614, 267, 621, 949, 1860, 922, 15496, 4390, 269, 0, 1432, 3657, 519, 18461, 902, 540, 513, 12724, 1117, 3683, 25126, 888, 2108, 13062, 2313, 892, 568, 513, 2165, 585, 4606, 540, 3531, 4577, 610, 11509, 2648, 267, 2356, 5433, 1282, 2038, 6689, 543, 18273, 267, 2356, 476, 275, 547, 476, 1691, 4458, 29419, 269, 898, 779, 3957, 1310, 519, 1413, 538, 513, 21937, 779, 4064, 602, 666, 18613, 519, 15962, 267, 10847, 995, 23816, 1145, 602, 1522, 581, 5433, 538, 3210, 547, 513, 11537, 4620, 269, 9232, 9197, 2313, 892, 568, 849, 4122, 1031, 950, 13288, 547, 24807, 6794, 267, 799, 568, 513, 4015, 540, 2589, 602, 616, 2147, 547, 1346, 540, 24807, 269, 1452, 1331, 281, 10770, 13668, 585, 7957, 832, 267, 3586, 679, 11803, 540, 824, 1453, 267, 4743, 22350, 3743, 543, 1419, 31604, 540, 1373, 14460, 267, 804, 15781, 547, 3237, 610, 824, 4079, 23494, 267, 7928, 2168, 5945, 607, 513, 1267, 540, 8165, 609, 1776, 1126, 267, 543, 10770, 9909, 540, 4742, 513, 1880, 1268, 269, 1452, 616, 1175, 930, 540, 519, 2589, 2404, 609, 24807, 563, 6624, 24412, 540, 24807, 2356, 2769, 891, 7920, 3929, 4606, 998, 1404, 269, 901, 2356, 4523, 1282, 519, 2038, 1296, 540, 1646, 267, 950, 741, 2168, 543, 2790, 7207, 616, 1869, 3384, 267, 543, 789, 798, 711, 2943, 723, 513, 4396, 9787, 593, 4641, 269, 634, 1267, 540, 713, 1404, 666, 581, 1360, 3665, 737, 1342, 773, 2623, 1107, 2347, 1033, 16670, 689, 3544, 15128, 267, 1519, 1920, 2818, 267, 2828, 267, 543, 1256, 1004, 538, 741, 1378, 1153, 282, 17418, 547, 1118, 2828, 3362, 282, 1835, 1678, 1465, 267, 7099, 1465, 267, 543, 10845, 282, 543, 1256, 9552, 540, 741, 1753, 267, 1153, 267, 543, 3347, 563, 2252, 5880, 1127, 6414, 2429, 18273, 543, 15296, 267, 713, 666, 1287, 581, 2808, 607, 513, 1106, 540, 5626, 6057, 269, 769, 930, 2665, 267, 519, 24807, 666, 2965, 1831, 865, 3532, 602, 621, 666, 1860, 606, 1367, 779, 2631, 540, 1582, 2914, 2180, 267, 3056, 547, 4965, 269, 2755, 972, 616, 1346, 945, 7985, 689, 5880, 1127, 14311, 607, 513, 1267, 540, 6689, 8194, 630, 328, 4318, 269, 4638, 6057, 1070, 972, 616, 1866, 945, 24807, 1317, 540, 824, 4128, 899, 9263, 2604, 610, 6010, 532, 513, 1880, 20419, 1915, 563, 13062, 2313, 568, 4330, 538, 1079, 3982, 3029, 281, 2168, 543, 2790, 269, 12724, 1127, 666, 1860, 513, 1268, 538, 1114, 2081, 281, 2901, 789, 666, 1745, 11566, 17915, 540, 12257, 610, 1928, 267, 610, 789, 666, 581, 7680, 2168, 17915, 602, 3274, 1118, 873, 1745, 968, 322, 6350, 1117, 6100, 2290, 3364, 602, 782, 5880, 1127, 1745, 899, 568, 19849, 14536, 269, 1677, 824, 1004, 267, 7487, 513, 24807, 666, 581, 1360, 19849, 23035, 267, 543, 3006, 3478, 7759, 540, 621, 3340, 519, 948, 540, 1866, 267, 2436, 621, 568, 513, 2385, 10213, 519, 1126, 779, 24807, 602, 646, 610, 1352, 1058, 968, 1326, 513, 1847, 593, 892, 610, 606, 2937, 3843, 547, 2736, 909, 513, 4339, 1063, 1079, 14038, 269, 634, 4664, 5433, 3330, 519, 1560, 616, 1360, 1483, 267, 543, 789, 798, 1745, 899, 513, 2168, 1928, 281, 519, 24807, 568, 12777, 678, 6235, 6306, 519, 4664, 602, 519, 24807, 568, 4743, 563, 10214, 1498, 649, 723, 1585, 3137, 585, 875, 5880, 1127, 1745, 899, 267, 519, 5817, 17915, 616, 3622, 519, 1482, 269, 589, 24807, 568, 513, 11213, 1995, 602, 666, 1118, 606, 1367, 1745, 1919, 899, 17847, 267, 19849, 14536, 267, 18354, 267, 10845, 267, 543, 3668, 540, 1582, 2914, 2180, 269, 898, 568, 711, 16613, 547, 2965, 1745, 20158, 1317, 596, 616, 11493, 2576, 1107, 1256, 952, 267, 547, 596, 267, 621, 3884, 1406, 606, 3390, 563, 2252, 596, 616, 538, 713, 3510, 267, 835, 540, 707, 1101, 3853, 1058, 581, 547, 4137, 856, 1946, 596, 616, 11493, 2576, 269, 10705, 2053, 5880, 1127, 616, 3361, 676, 2250, 8194, 610, 6057, 630, 7945, 607, 4638, 14213, 610, 5208, 1070, 610, 1256, 1175, 676, 3395, 909, 538, 513, 2528, 1141, 8951, 616, 4397, 547, 581, 10694, 543, 1582, 18101, 1211, 269, 15775, 547, 519, 3597, 2014, 540, 707, 24807, 666, 581, 519, 1101, 1900, 2509, 3478, 936, 621, 269, 4495, 596, 917, 1946, 596, 616, 11493, 2576, 267, 596, 666, 2253, 547, 960, 2509, 4657, 1346, 4606, 269, 1403, 707, 24807, 568, 2576, 945, 568, 3843, 547, 1205, 513, 8004, 23136, 610, 2576, 945, 568, 21183, 543, 26101, 267, 519, 4388, 2016, 1657, 1522, 1175, 948, 596, 1205, 936, 873, 811, 3533, 543, 811, 8499, 269, 0, 7197, 1053, 945, 4283, 519, 10348, 779, 10361, 6583, 616, 711, 24584, 547, 1451, 827, 519, 1686, 540, 12370, 2875, 1272, 269, 8616, 606, 796, 817, 11167, 2875, 1210, 741, 8274, 31936, 2724, 585, 9269, 12209, 1522, 588, 18443, 2066, 606, 6397, 543, 15116, 4062, 540, 12370, 779, 29599, 1686, 281, 519, 966, 1513, 640, 13495, 22223, 11833, 563, 4002, 519, 1435, 779, 3774, 267, 513, 4837, 1922, 1090, 539, 16968, 10525, 513, 476, 5002, 271, 29275, 585, 968, 320, 4693, 540, 10457, 892, 585, 519, 1279, 16519, 326, 13516, 8630, 269, 2060, 922, 9998, 5638, 6580, 1394, 547, 519, 476, 6245, 271, 338, 543, 11173, 998, 519, 476, 4350, 271, 338, 267, 519, 8630, 11478, 1282, 513, 7904, 7566, 1977, 31117, 609, 519, 8260, 22223, 269, 634, 16968, 779, 19684, 1893, 568, 6109, 2443, 968, 22336, 835, 4730, 519, 8260, 7637, 610, 1166, 1393, 568, 24016, 547, 2119, 2223, 621, 14509, 563, 7437, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 2540, 267, 12370, 779, 782, 2173, 1446, 13495, 22223, 11833, 267, 7258, 4775, 8260, 22223, 5716, 689, 7101, 743, 858, 324, 267, 7038, 539, 519, 13464, 609, 741, 5993, 2982, 269, 4841, 1223, 4444, 17914, 693, 519, 12370, 3213, 268, 10869, 4558, 585, 741, 12644, 267, 799, 3769, 21769, 609, 12370, 779, 966, 1513, 640, 717, 23932, 11833, 543, 519, 8260, 22223, 15731, 540, 824, 3506, 267, 971, 607, 23171, 543, 667, 691, 17625, 269, 634, 8630, 849, 5129, 513, 851, 538, 13464, 6891, 267, 7900, 1282, 11176, 3756, 563, 763, 8260, 22223, 779, 16080, 1242, 4527, 593, 13464, 666, 581, 11911, 547, 519, 5569, 539, 6293, 779, 3395, 8560, 538, 519, 2136, 2276, 693, 519, 942, 267, 607, 1134, 607, 547, 513, 10707, 6512, 1572, 519, 8431, 16619, 5053, 4841, 269, 27837, 676, 519, 476, 6942, 279, 12644, 540, 513, 2147, 6512, 267, 519, 5053, 4841, 267, 1282, 519, 8303, 2622, 779, 12876, 267, 519, 674, 10537, 2998, 1895, 3459, 513, 4663, 540, 519, 2136, 2276, 538, 476, 6642, 271, 269, 4256, 30145, 5189, 519, 2575, 540, 519, 6512, 584, 6319, 267, 513, 5053, 12563, 6293, 1419, 5219, 547, 607, 519, 968, 28049, 13495, 22223, 2223, 547, 519, 1977, 1857, 269, 1358, 6273, 513, 1166, 25744, 540, 2147, 8260, 22223, 13164, 267, 945, 23652, 519, 5053, 4841, 685, 2511, 267, 24853, 267, 543, 3006, 1256, 741, 2012, 563, 21930, 4892, 267, 1303, 337, 2331, 676, 519, 8260, 22223, 779, 3280, 543, 3864, 12205, 267, 3576, 547, 519, 6293, 899, 14834, 269, 1358, 4646, 8260, 22223, 15731, 543, 32427, 553, 2066, 519, 2197, 267, 543, 693, 519, 1376, 540, 519, 476, 736, 628, 2540, 267, 8260, 22223, 6455, 1256, 856, 560, 686, 5529, 13176, 6455, 267, 23344, 676, 513, 1507, 14345, 563, 19604, 10542, 779, 1378, 13495, 22223, 11833, 10150, 513, 2147, 8560, 267, 543, 676, 476, 6245, 276, 267, 621, 1185, 9450, 547, 1331, 513, 2698, 540, 3670, 1101, 8260, 565, 1231, 267, 2185, 2034, 8260, 565, 1231, 267, 543, 2185, 1368, 527, 1513, 269, 2334, 1032, 267, 519, 8630, 849, 20888, 513, 1007, 267, 14758, 8153, 6293, 2443, 513, 1166, 720, 1961, 339, 267, 513, 1826, 540, 11741, 2842, 6293, 23401, 513, 1507, 27646, 269, 634, 595, 3234, 5459, 13006, 519, 8630, 779, 2208, 267, 1603, 538, 476, 6245, 274, 602, 968, 534, 29099, 9621, 2603, 540, 2367, 15527, 2063, 3781, 547, 519, 1289, 585, 10457, 585, 519, 13495, 22223, 543, 2871, 10560, 11833, 3034, 763, 8260, 22223, 13631, 2614, 1053, 547, 15549, 519, 5137, 540, 1079, 5094, 2516, 281, 519, 18610, 2006, 543, 519, 966, 1513, 640, 13495, 22223, 11833, 338, 269, 634, 8760, 949, 3100, 9490, 585, 513, 7574, 1895, 2443, 8197, 1034, 540, 519, 1893, 1472, 519, 8630, 568, 11603, 585, 6896, 5026, 2221, 269, 10748, 1431, 941, 1572, 968, 339, 7434, 338, 2223, 513, 3126, 540, 2982, 941, 1572, 513, 968, 572, 1783, 2223, 543, 519, 8630, 779, 8689, 729, 1256, 5219, 547, 607, 513, 968, 1723, 778, 1848, 4634, 519, 2165, 968, 341, 1513, 640, 892, 3294, 267, 799, 729, 8385, 6508, 689, 606, 28008, 540, 519, 2262, 968, 684, 1751, 2223, 9356, 513, 1689, 538, 519, 1893, 602, 649, 946, 547, 4766, 7574, 2516, 563, 763, 13495, 22223, 11833, 23384, 1082, 14759, 1282, 922, 942, 693, 12370, 2443, 3006, 621, 5916, 609, 519, 717, 23932, 11833, 267, 3006, 621, 7550, 519, 2012, 968, 300, 663, 22223, 543, 2871, 10560, 11833, 892, 543, 824, 2053, 968, 300, 663, 22223, 543, 14465, 14765, 11833, 1848, 634, 13495, 22223, 18610, 2006, 11833, 1185, 513, 2185, 4458, 554, 9332, 639, 538, 476, 4489, 277, 267, 1354, 1373, 13713, 759, 584, 5550, 539, 538, 476, 4572, 271, 563, 763, 14849, 546, 2109, 540, 634, 13495, 22223, 11833, 779, 476, 5002, 271, 19684, 16968, 538, 10348, 779, 10361, 949, 2992, 519, 22638, 546, 13388, 1782, 3310, 540, 519, 8260, 22223, 535, 611, 269, 769, 476, 6245, 276, 267, 634, 595, 3234, 5459, 5360, 7134, 602, 1152, 2947, 2367, 7902, 693, 519, 8630, 779, 4693, 267, 543, 29499, 602, 968, 1492, 13007, 3254, 729, 711, 540, 519, 1655, 3034, 28490, 519, 8260, 22223 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8663, 26781, 267, 2824, 519, 23453, 9184, 267, 2824, 11473, 267, 543, 1287, 2824, 6732, 11473, 269, 634, 23453, 11473, 13972, 4216, 10741, 269, 30854, 519, 7842, 3009, 538, 519, 4216, 3957, 3245, 513, 11473, 2506, 5523, 8943, 267, 543, 1287, 2046, 9373, 269, 0, 21790, 520, 267, 649, 798, 991, 547, 2061, 1004, 689, 12747, 28085, 540, 938, 1543, 563, 12850, 18430, 2032, 631, 2678, 267, 15379, 18430, 2032, 538, 6693, 28899, 9797, 9901, 12274, 602, 1860, 519, 19428, 540, 1216, 616, 9770, 267, 7513, 267, 11379, 543, 13101, 269, 11683, 11874, 9901, 12274, 616, 17296, 267, 23253, 267, 19941, 543, 22833, 12365, 622, 269, 21193, 6233, 543, 8485, 919, 616, 5634, 20334, 547, 19428, 267, 855, 789, 616, 1360, 1271, 31127, 563, 306, 20980, 267, 4045, 539, 543, 700, 22133, 20079, 1923, 12829, 6693, 1708, 271, 268, 279, 268, 736, 5788, 12829, 20079, 667, 633, 2488, 538, 3829, 19761, 543, 2079, 883, 519, 1034, 26374, 3377, 543, 3466, 5935, 5100, 4872, 269, 1284, 3382, 519, 5767, 3466, 593, 4264, 267, 4448, 267, 543, 561, 22133, 4872, 563, 310, 1571, 5257, 4437, 12950, 5178, 529, 540, 6925, 910, 476, 273, 526, 9990, 454, 1708, 271, 268, 279, 268, 866, 5788, 476, 1428, 269, 273, 5450, 1023, 5853, 538, 519, 5274, 10610, 476, 1428, 269, 274, 11790, 18748, 532, 19045, 21976, 476, 1428, 269, 275, 26678, 21976, 585, 5450, 1023, 476, 1428, 269, 276, 32018, 540, 19045, 594, 976, 476, 1428, 269, 277, 1323, 687, 538, 519, 10791, 3848, 476, 1626, 6226, 3878, 543, 12559, 26975, 540, 16639, 12028, 476, 1626, 269, 272, 16639, 6226, 6479, 543, 12559, 528, 5523, 538, 2494, 476, 1626, 269, 273, 4437, 12950, 15448, 538, 16016, 6479, 16639, 543, 519, 10020, 540, 6226, 24304, 2107, 7540, 454, 263, 14457, 264, 28800, 1756, 7085, 29114, 902, 281, 2983, 17190, 267, 6693, 13328, 4204, 267, 519, 5599, 540, 20879, 814, 6383, 476, 280, 4343, 6398, 476, 11793, 544, 274, 540, 1984, 2766, 902, 269, 634, 5925, 13808, 540, 891, 2766, 902, 5673, 593, 519, 3446, 540, 7626, 24776, 543, 9775, 689, 1447, 982, 476, 272, 645, 336, 17320, 547, 811, 982, 454, 763, 28445, 16301, 1923, 2983, 334, 16631, 13328, 454, 1708, 271, 268, 275, 268, 279, 5788, 910, 321, 8960, 666, 7615, 924, 689, 7754, 553, 4302, 4275, 267, 17577, 267, 609, 519, 1739, 3328, 5888, 630, 342, 339, 260, 2567, 3397, 476, 6872, 269, 4375, 267, 10965, 476, 280, 269, 279, 267, 1855, 476, 866, 269, 271, 4817, 267, 590, 476, 280, 269, 10436, 267, 19923, 476, 273, 269, 4510, 267, 3171, 476, 272, 269, 4817, 267, 31626, 476, 271, 269, 5400, 267, 2698, 476, 1911, 269, 7830, 269, 589, 1855, 24481, 8988, 268, 24141, 1756, 9829, 657, 5306, 1336, 538, 7681, 609, 646, 1087, 924, 267, 3397, 5025, 340, 2995, 584, 1938, 267, 620, 3279, 924, 267, 543, 3490, 4496, 9829, 1938, 454, 18404, 1359, 15450, 5688, 1047, 2326, 585, 16864, 23760, 454, 1708, 271, 268, 279, 268, 1691, 5788, 634, 6111, 540, 519, 1367, 3157, 11887, 519, 3803, 1587, 2298, 538, 519, 2504, 540, 840, 15479, 832, 585, 512, 1716, 776, 554, 1712, 2326, 269, 901, 543, 1164, 1184, 10727, 1185, 1044, 519, 1292, 7440, 538, 7479, 8172, 1585, 9755, 538, 6693, 23005, 1456, 519, 3752, 28169, 16390, 540, 594, 4577, 3281, 2432, 1923, 6693, 11754, 519, 7513, 3070, 6749, 3772, 547, 519, 7164, 3070, 269, 634, 5250, 540, 513, 3043, 10511, 10028, 1223, 967, 773, 519, 4527, 540, 7513, 19552, 267, 610, 7513, 19941, 269, 1677, 13182, 519, 4527, 540, 19552, 267, 7444, 1039, 6491, 878, 3679, 547, 519, 1449, 8546, 269, 19837, 1828, 540, 519, 10511, 10028, 967, 625, 602, 6693, 18404, 1023, 543, 519, 9650, 910, 634, 4639, 517, 589, 269, 12313, 7690, 454, 1708, 271, 268, 273, 268, 278, 5788, 589, 1164, 1377, 540, 7513, 568, 513, 1129, 602, 7513, 568, 2679, 909, 538, 519, 2571, 8031, 269, 901, 7513, 568, 1373, 3144, 689, 519, 7633, 269, 8616, 267, 1175, 519, 1259, 602, 6757, 7601, 568, 6915, 10595, 19989, 267, 713, 7513, 602, 568, 2679, 909, 543, 6029, 909, 1360, 1164, 538, 519, 4552, 9382, 568, 711, 2965, 8647, 267, 621, 568, 711, 538, 513, 26729, 267, 19729, 267, 25617, 1106, 538, 519, 1973, 563, 4467, 14658, 640, 540, 19826, 14385, 658, 608, 641, 565, 903, 30828, 454, 7072, 269, 589, 2647, 2039, 540, 4551, 616, 2111, 547, 30075, 543, 694, 4740, 29414, 4874, 1337, 6878, 630, 292, 4916, 264, 630, 10468, 340, 1299, 21244, 267, 476, 1960, 271, 1070, 5631, 540, 30713, 21839, 573, 545, 2470, 267, 799, 666, 2611, 524, 15772, 1836, 5532, 610, 29101, 7923, 547, 519, 1591, 2627, 267, 610, 581, 5950, 883, 519, 4478, 1604, 630, 5719, 10218, 529, 1299, 966, 4532, 20044, 7236, 267, 476, 1220, 274, 1040, 4322, 608, 641, 565, 903, 30828, 666, 581, 5258, 883, 1079, 2516, 454, 763, 11683, 24322, 769, 2558, 514, 21059, 1656, 18578, 6210, 910, 6693, 307, 12541, 21059, 543, 18578, 6210, 568, 519, 12144, 779, 4102, 4346, 267, 2348, 513, 24162, 23582, 8605, 540, 1269, 1789, 269, 1321, 5479, 269, 634, 2197, 779, 1507, 2551, 18922, 547, 513, 1164, 12654, 829, 21027, 540, 1269, 3953, 267, 277, 4391, 267, 519, 3791, 3620, 580, 4554, 538, 3345, 543, 3162, 3013, 267, 543, 1152, 20546, 539, 676, 4516, 543, 519, 2136, 2276, 563, 291, 2884, 776, 17316, 516, 13281, 910, 16402, 325, 1231, 11660, 454, 291, 2884, 776, 26939, 543, 840, 321, 7821, 616, 513, 1808, 19838, 800, 540, 11950, 269, 634, 3169, 4214, 540, 8192, 20249, 814, 1044, 1641, 547, 1454, 15784, 543, 4901, 563, 1103, 3031, 527, 1923, 9502, 540, 769, 3031, 527, 676, 8585, 26713, 268, 31812, 454, 1103, 3031, 527, 4214, 568, 910, 547, 10238, 527, 689, 3257, 1945, 269, 1215, 547, 946, 21391, 538, 513, 4845, 269, 14271, 7716, 17564, 540, 21391, 563, 275, 9923, 2407, 1560, 19140, 24581, 19045, 5489, 2135, 910, 7230, 913, 6693, 290, 611, 26606, 568, 1851, 519, 1034, 6757, 540, 519, 5230, 8407, 269, 898, 568, 513, 1455, 4496, 1336, 538, 17089, 267, 16906, 8673, 267, 7148, 1216, 267, 6995, 267, 930, 9268, 543, 15568, 3536, 971, 607, 7250, 730, 11041, 267, 543, 538, 3536, 689, 519, 4262, 267, 2523, 32729, 269, 27974, 26606, 568, 5393, 6757, 267, 609, 11807, 2157, 835, 20870, 602, 540, 1034, 540, 519, 824, 6757, 8407, 563, 13328, 8170, 31367, 338, 268, 16179, 543, 590, 749, 11906, 338, 267, 11906, 454, 13328, 1993, 23755, 338, 568, 513, 536, 273, 321, 3114, 22045, 547, 4444, 543, 6133, 6464, 2228, 269, 5192, 1283, 3114, 14273, 543, 18046, 1592, 1934, 609, 4316, 547, 2312, 3114, 6006, 543, 1205, 3114, 2872, 10311, 899, 3377, 267, 3466, 267, 6009, 267, 7998, 4930, 543, 811, 563, 288, 638, 320, 10809, 12713, 9995, 630, 278, 267, 276, 11899, 264, 1923, 13985, 320, 20288, 560, 1216, 1416, 454, 288, 638, 320, 10809, 12713, 9995, 630, 278, 269, 276, 11899, 264, 13985, 320, 10809, 12713, 9995, 476, 278, 269, 276, 11899, 568, 513, 2067, 3043, 5070, 476, 271, 269, 276, 268, 272, 269, 276, 6515, 609, 6491, 337, 4328, 4551, 898, 568, 1863, 689, 12526, 454, 27650, 267, 18520, 267, 543, 570, 21033, 10644, 540, 9435, 454, 1001, 274, 268, 279, 268, 866, 5788, 12729, 267, 18520, 267, 543, 570, 21033, 10644, 540, 9435, 281, 11150, 585, 519, 6715, 13577, 18669, 910, 3487, 2290, 1635, 281, 31929, 6008, 1446, 344, 23213, 16567, 1107, 23213, 16567, 6971, 513, 4807, 779, 1981, 540, 3384, 6089, 2860, 1369, 1200, 10715, 269, 273, 5015, 267, 1142, 3923, 540, 20418, 949, 6175, 513, 4807, 779, 3448, 1981, 540, 3384, 25073, 2860, 676, 476, 273, 10065, 274, 769, 1840, 547, 865, 1082, 824, 15400, 2640, 454, 14737, 1968, 8249, 910, 6201, 267, 9537, 267, 18567, 454, 22746, 8407, 616, 1572, 17285, 6886, 269, 1280, 1383, 18234, 267, 26537, 1756, 267, 570, 514, 267, 19162, 601, 267, 21019, 267, 11635, 267, 8048, 267, 1325, 26891, 267, 7108, 267, 543, 2098, 4532, 269, 476, 272, 269, 18567, 540, 5450, 28351, 30200, 269, 5450, 28351, 30200, 1397, 513, 17285, 19542, 538, 741, 5920, 269, 634, 1761, 2707, 540, 519, 4496, 602, 666, 581, 3893, 998, 5599, 269, 1230, 13935, 8407, 538, 741, 3114, 5888, 563, 8196, 6151, 538, 513, 4845, 1923, 6151, 4845, 1806, 454, 763, 6151, 2326, 1031, 538, 519, 5478, 616, 281, 630, 296, 264, 4401, 6954, 25697, 22223, 267, 610, 930, 824, 2186, 540, 6986, 10036, 267, 799, 1058, 2270, 922, 21958, 543, 620, 29837, 607, 5176, 607, 2009, 538, 519, 8167, 540, 476, 273, 31333, 302, 476, 273, 281, 1325, 10711, 18796, 676, 519, 4542, 8655, 547, 4998, 25697, 22223, 630, 320, 17211, 540, 21958, 267, 2705, 267, 621, 5526, 666, 581, 1500, 909, 585, 676, 1840, 540, 519, 7229, 2597, 540, 29656, 5258, 21958, 5148, 630, 273, 264, 606, 5139, 9317, 454, 2750, 1602, 1562, 2529, 294, 910, 11905, 3794, 984, 958, 267, 590, 749, 3794, 984, 958, 454, 2750, 1602, 1562, 2529, 294, 910, 6820, 645, 273, 289, 19458, 609, 2754, 15682, 267, 1587, 620, 9233, 267, 9140, 4123, 5012, 585, 1163, 13024, 267, 791, 13024, 267, 9755, 267, 14273, 267, 17783, 531, 619, 454, 3725, 6665, 1746, 476, 1789, 1296, 540, 6915, 10818, 531, 1436, 543, 2627, 454, 1001, 275, 268, 278, 268, 1428, 5788, 4985, 269, 5272, 1843, 609, 693, 2547, 835, 8984, 10155, 1063, 476, 272, 543, 476, 1911, 16354, 666, 581, 3989, 607, 968, 22974, 558, 1468, 1848, 634, 2956, 540, 6289, 558, 17467, 630, 324, 3052, 269, 20543, 267, 715, 11679, 264, 585, 2257, 543, 2029, 814, 3810, 2799, 538, 519, 2063, 1296, 630, 306, 675, 526, 597, 534, 1696, 620, 1421, 476, 1220, 280, 1040, 2691, 7231, 609, 971, 513, 1507, 2497, 267, 519, 2450, 5829, 3601, 267, 519, 3337, 543, 954, 12268, 1834, 3845, 547, 519, 454, 6944, 8727, 5811, 10298, 543, 6201, 454, 763, 12526, 1806, 2630, 4159, 513, 1906, 540, 519, 2042, 12193, 267, 543, 4611, 2640, 269, 2552, 8727, 9046, 2552, 3133, 656, 2552, 3133, 656, 11905, 8827, 543, 4934, 2492, 282, 18784, 3109, 5536, 538, 5386, 8869, 20119, 281, 7513, 19941, 18674, 3327, 1759, 12285, 281, 8697, 543, 14016, 908, 3803, 1587, 6445, 518, 25652, 4552, 1336, 547, 581, 454, 291, 3554, 1180, 1923, 17341, 18924, 4637, 689, 1306, 1127, 540, 700, 3437, 6693, 1708, 271, 268, 278, 268, 3066, 5788, 634, 3327, 2707, 540, 595, 13748, 19987, 568, 513, 8652, 21666, 3154, 971, 607, 15655, 267, 711, 519, 3327, 1336, 538, 1212, 332, 566, 607, 1127, 610, 4552, 689, 707, 6068, 835, 269, 634, 5571, 1184, 3217, 1152, 1896, 3108, 267, 855, 27499, 1082, 267, 1082, 12945, 7397, 540, 19605, 3154, 547, 1683, 519, 2556, 3327, 563, 15507, 519, 1158, 5257, 338, 1344, 267, 1519, 1357, 335, 1137, 267, 2592, 267, 7044, 543, 811, 269, 5616, 814, 1082, 2027, 2934, 547, 948, 596, 1265, 4010, 1018, 596, 5257, 516, 3168, 585, 563, 14187, 585, 596, 1923, 1325, 2889, 454, 265, 11905, 540, 7513, 269, 25289, 568, 2877, 585, 519, 5826, 540, 3339, 7633, 269, 589, 9867, 543, 7059, 2732, 543, 513, 2635, 6197, 616, 5227, 585, 1434, 1072, 269, 0, 32295, 718, 281, 2806, 10407, 13201, 11408, 2142, 523, 3487, 540, 16340, 518, 15348, 26944, 2103, 538, 519, 5240, 454, 15912, 281, 11122, 32236, 267, 16377, 267, 476, 3192, 271, 338, 267, 10285, 2924, 454, 2026, 5063, 607, 476, 2735, 275, 267, 16377, 729, 711, 513, 7184, 851, 16388, 3390, 563, 10527, 3017, 538, 1489, 585, 519, 605, 31547, 2990, 729, 513, 6071, 3670, 6871, 2798, 2223, 21142, 2806, 1090, 578, 6308, 267, 513, 2797, 10196, 693, 2506, 800, 2160, 267, 5143, 803, 676, 4757, 269, 968, 2412, 2600, 540, 14891, 1541, 13294, 941, 605, 3734, 267, 1247, 476, 4375, 2600, 941, 605, 31547, 269, 7324, 17044, 1541, 13294, 267, 476, 3451, 2600, 941, 605, 31547, 267, 476, 3393, 2600, 941, 605, 3734, 543, 476, 2420, 2600, 941, 538, 519, 1647, 3034, 3528, 476, 1708, 271, 267, 2806, 1090, 578, 6308, 4797, 2676, 10463, 2600, 540, 14891, 1541, 13294, 3576, 519, 605, 31547, 2990, 267, 1247, 1152, 476, 1704, 2600, 3576, 519, 605, 3734, 2990, 267, 609, 476, 1015, 2600, 538, 519, 1647, 269, 7324, 25743, 267, 476, 2568, 2600, 3576, 519, 605, 3734, 2990, 1247, 476, 1839, 2600, 3576, 519, 605, 31547, 2990, 543, 476, 1428, 2600, 941, 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 ]
[ 269, 31187, 918, 659, 5414, 985, 7288, 630, 4462, 629, 558, 828, 264, 1299, 9478, 1230, 2784, 781, 16520, 21478, 454, 2026, 2938, 538, 938, 6679, 1349, 267, 972, 6818, 513, 4241, 4276, 1063, 31187, 918, 659, 5414, 985, 7288, 267, 849, 1634, 607, 519, 1133, 629, 558, 828, 267, 543, 14470, 29787, 9478, 1230, 2784, 269, 2755, 9583, 20775, 547, 17189, 1686, 693, 1101, 16145, 267, 713, 2078, 8711, 519, 7096, 1764, 3332, 666, 723, 593, 2043, 262, 23381, 338, 1107, 1256, 1346, 945, 2663, 3479, 646, 29532, 6411, 269, 4841, 949, 2992, 2390, 875, 4598, 547, 1585, 3029, 540, 2923, 7506, 741, 1378, 11994, 540, 1379, 6384, 267, 1514, 5126, 267, 543, 4655, 6571, 780, 289, 269, 3474, 4150, 3149, 9737, 9980, 1905, 618, 9828, 538, 11470, 543, 18712, 454, 3519, 2784, 781, 24575, 540, 1303, 1905, 618, 12485, 6964, 1996, 29450, 1235, 19141, 1978, 3344, 540, 918, 659, 5414, 985, 7288, 781, 1110, 639, 1766, 663, 328, 269, 24951, 971, 5339, 3457, 609, 4890, 3140, 13685, 2636, 721, 547, 2015, 2055, 4478, 13919, 267, 26760, 267, 543, 12477, 1369, 4108, 8658, 269, 4653, 267, 2147, 9840, 8451, 3823, 6880, 8705, 11071, 267, 20473, 16716, 267, 543, 824, 12623, 20470, 7526, 780, 4353, 269, 10289, 25220, 3778, 14265, 1047, 20121, 5209, 692, 288, 269, 23421, 23320, 267, 16127, 454, 6635, 7666, 2406, 835, 540, 519, 1034, 11599, 4609, 538, 17189, 1686, 267, 23421, 23320, 5713, 607, 513, 1093, 17257, 12576, 540, 2622, 2782, 4083, 781, 7414, 20989, 269, 6250, 6002, 666, 4663, 519, 2475, 306, 14151, 17341, 267, 2628, 24947, 547, 15468, 1425, 545, 655, 20047, 267, 543, 4497, 609, 7317, 15225, 15386, 11358, 8090, 3056, 909, 547, 3013, 781, 7127, 883, 519, 2112, 780, 289, 269, 623, 2176, 17625, 19866, 667, 1442, 12881, 267, 4789, 454, 1607, 30832, 1782, 1950, 8075, 1896, 8037, 8043, 267, 1519, 670, 5960, 7861, 800, 1107, 31288, 20307, 781, 17514, 1222, 1282, 519, 11135, 540, 3004, 325, 531, 3258, 269, 19893, 593, 17189, 1686, 2267, 2478, 1419, 10508, 538, 9683, 713, 3135, 267, 1141, 789, 1451, 827, 3703, 4262, 1379, 267, 17189, 6189, 267, 543, 17535, 4123, 780, 309, 269, 3465, 6326, 25220, 11595, 585, 8892, 9198, 725, 692, 8139, 17189, 1686, 8309, 3648, 547, 19825, 4207, 2520, 641, 29176, 267, 3486, 1894, 267, 543, 6639, 7760, 269, 3414, 15138, 2833, 899, 17189, 1686, 2267, 2478, 267, 1053, 1831, 5605, 817, 611, 832, 540, 1702, 267, 5827, 540, 4687, 741, 16012, 6791, 609, 1920, 2818, 267, 2828, 267, 543, 9164, 269, 1306, 971, 267, 10115, 942, 543, 2200, 883, 4974, 17189, 1686, 5849, 922, 4797, 10083, 543, 11972, 9029, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 335, 3098, 547, 519, 5467, 281, 634, 1739, 568, 936, 476, 2412, 267, 1822, 1913, 543, 10905, 32461, 689, 1079, 4589, 3843, 547, 1921, 1133, 629, 558, 828, 547, 18067, 542, 1143, 543, 547, 519, 1893, 540, 519, 7083, 779, 2997, 10152, 14594, 269, 594, 993, 2324, 593, 621, 28560, 596, 616, 20714, 539, 676, 519, 3573, 844, 7627, 267, 594, 993, 2324, 593, 602, 1932, 563, 6097, 547, 2278, 7917, 13983, 903, 19431, 267, 621, 729, 6654, 602, 918, 659, 5414, 985, 7288, 7550, 674, 5861, 269, 968, 26466, 4520, 11833, 892, 689, 1230, 2784, 779, 8798, 540, 623, 11482, 1421, 1775, 4318, 269, 968, 31306, 540, 519, 1160, 2280, 30353, 892, 543, 14659, 646, 1590, 723, 5433, 606, 25505, 609, 1230, 2784, 779, 14070, 968, 32743, 7905, 267, 519, 17828, 1323, 1105, 626, 892, 607, 519, 1034, 9565, 1268, 538, 918, 659, 5414, 985, 7288, 779, 1272, 269, 5637, 2367, 941, 2110, 538, 588, 1155, 609, 8449, 856, 13355, 19838, 657, 543, 689, 519, 1482, 2804, 1362, 563, 2005, 779, 4277, 602, 1230, 2784, 779, 6249, 540, 968, 550, 1905, 618, 2223, 540, 623, 269, 700, 269, 519, 29450, 626, 1895, 17147, 268, 2108, 293, 527, 268, 10000, 2223, 519, 16213, 540, 16620, 540, 513, 26645, 593, 513, 6098, 1895, 676, 606, 31305, 1688, 1131, 10956, 3294, 936, 543, 936, 538, 918, 659, 5414, 985, 7288, 779, 26645, 4876, 267, 1010, 1110, 639, 1766, 663, 328, 267, 1354, 543, 1282, 519, 7225, 328, 645, 926, 5736, 563, 2691, 23413, 729, 513, 588, 340, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 10052, 3778, 14265, 2478, 257, 607, 851, 540, 834, 307, 30728, 1315, 7981, 9314, 1315, 13639, 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, 6092, 5149, 281, 918, 12609, 538, 27454, 1143, 543, 4706, 17583, 547, 7351, 7025, 12983, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 737, 12609, 538, 27454, 6138, 543, 2263, 875, 621, 12211, 547, 4207, 2825, 2152, 269, 1284, 786, 2253, 676, 6313, 519, 4909, 3741, 540, 27454, 1143, 267, 1519, 519, 2856, 540, 513, 327, 15501, 320, 610, 32593, 775, 267, 543, 1287, 1847, 593, 547, 1865, 519, 1950, 1062, 540, 737, 12609, 538, 27454, 1143, 269, 7053, 267, 649, 786, 2015, 875, 891, 2093, 666, 1217, 938, 1935, 547, 10296, 8733, 4145, 971, 607, 2916, 1689, 267, 7226, 9552, 267, 543, 2249, 14486, 780, 297, 664, 1143, 568, 606, 3504, 4095, 4984, 8547, 676, 681, 880, 629, 7315, 24048, 267, 849, 1634, 607, 1520, 514, 24048, 267, 519, 1101, 570, 9500, 1678, 4673, 5018, 538, 519, 1349, 3177, 269, 2290, 540, 519, 1883, 28975, 540, 27454, 1143, 568, 519, 6240, 540, 513, 327, 15501, 320, 267, 610, 32593, 775, 269, 901, 1797, 711, 4929, 2800, 547, 1022, 2713, 1373, 267, 2436, 1480, 610, 1875, 16058, 267, 17543, 610, 16662, 1549, 958, 269, 13259, 15501, 320, 11498, 3564, 6071, 32593, 775, 282, 621, 3322, 8362, 5009, 519, 10304, 543, 8171, 540, 782, 7919, 269, 1280, 808, 1622, 267, 8026, 513, 327, 15501, 320, 3340, 7453, 15984, 547, 5683, 4808, 3823, 4633, 267, 4555, 267, 543, 3527, 269, 1452, 4808, 10238, 527, 5208, 267, 7301, 3125, 267, 17403, 267, 2283, 7081, 267, 543, 13613, 269, 1635, 1739, 891, 840, 32383, 267, 2043, 4126, 547, 2569, 741, 2942, 1764, 593, 519, 1158, 1472, 873, 543, 11349, 6418, 4708, 780, 23338, 547, 27454, 6138, 568, 519, 3661, 538, 519, 25872, 540, 782, 1919, 267, 513, 1523, 1419, 5219, 547, 607, 861, 611, 341, 3385, 269, 5204, 611, 341, 3385, 26342, 602, 4641, 568, 15491, 543, 3112, 581, 4628, 6956, 689, 513, 2582, 5133, 269, 4475, 267, 808, 1622, 11441, 547, 2070, 9259, 689, 2789, 7285, 543, 2057, 1818, 6207, 6898, 827, 519, 2470, 540, 6228, 269, 769, 2259, 267, 713, 5012, 547, 513, 2620, 2463, 585, 4763, 543, 3017, 267, 8716, 808, 1622, 547, 5660, 1585, 5380, 1247, 6967, 8149, 547, 741, 1378, 4978, 780, 3086, 1577, 721, 2490, 938, 3007, 547, 519, 1523, 540, 737, 12609, 538, 27454, 1143, 269, 9521, 2442, 24300, 540, 737, 12609, 607, 513, 2186, 540, 17184, 5126, 1141, 1434, 23339, 1291, 547, 2318, 4093, 543, 3983, 23339, 1267, 538, 7092, 267, 737, 1301, 545, 3069, 538, 27454, 1143, 568, 1454, 811, 13857, 269, 918, 1301, 545, 5536, 8936, 2933, 547, 1367, 20339, 1813, 547, 2019, 819, 531, 2962, 267, 4555, 267, 543, 4664, 269, 1879, 513, 1268, 22851, 538, 2238, 9141, 676, 18653, 899, 10845, 267, 26846, 267, 11348, 267, 13587, 527, 267, 610, 24178, 267, 789, 4482, 737, 1301, 545, 5536, 602, 21372, 519, 9997, 781, 3020, 2470, 269, 1306, 1279, 607, 891, 23606, 2611, 267, 519, 9997, 5170, 547, 1995, 32193, 543, 7092, 2394, 8236, 544, 758, 3333, 320, 267, 610, 19802, 780, 2467, 616, 1079, 2010, 540, 737, 12609, 538, 27454, 1143, 281, 16345, 543, 30126, 269, 20607, 532, 737, 12609, 3123, 519, 9997, 547, 1491, 593, 1007, 4703, 2390, 2669, 267, 6466, 30126, 737, 12609, 12042, 619, 5289, 3356, 1282, 835, 781, 10715, 269, 3414, 10841, 2045, 2853, 543, 5837, 2932, 267, 9439, 2832, 547, 1625, 1518, 741, 20339, 543, 7413, 2104, 737, 1301, 545, 13250, 269, 12830, 569, 267, 808, 1622, 3494, 602, 1169, 2962, 11438, 4539, 267, 7488, 540, 2450, 610, 7805, 4644, 269, 4634, 9583, 28971, 6411, 666, 1711, 3532, 678, 31454, 540, 2014, 543, 1198, 2429, 519, 7122, 780, 3383, 875, 1281, 713, 9305, 547, 4207, 2825, 16839, 286, 14301, 593, 519, 4295, 3741, 540, 513, 327, 15501, 320, 267, 25872, 267, 543, 737, 1301, 545, 1427, 9084, 267, 1082, 808, 1622, 12167, 585, 513, 9097, 556, 24834, 6672, 540, 8103, 781, 2078, 609, 519, 2067, 1158, 269, 1358, 8044, 602, 8156, 519, 1604, 607, 1945, 5094, 689, 6000, 32737, 8806, 513, 4199, 547, 17908, 28934, 21739, 693, 12918, 609, 27454, 16431, 269, 5502, 267, 12391, 585, 519, 3047, 1058, 581, 2938, 607, 606, 10137, 540, 513, 327, 15501, 320, 267, 8506, 3742, 3646, 547, 8190, 8134, 543, 2149, 13155, 2249, 780, 11101, 267, 2016, 519, 7096, 6286, 540, 737, 1301, 545, 1876, 267, 1169, 957, 540, 5533, 267, 17717, 267, 610, 7320, 19338, 12958, 2942, 737, 1301, 545, 4539, 269, 4935, 267, 5466, 2825, 12159, 3587, 711, 1152, 513, 1514, 610, 2797, 3390, 855, 849, 513, 7184, 2123, 543, 5289, 835, 269, 1677, 9414, 713, 1448, 267, 2015, 519, 5571, 2530, 540, 9265, 4611, 689, 7226, 26610, 543, 2916, 1689, 269, 3245, 513, 27454, 5133, 267, 6117, 9118, 2249, 2509, 14486, 711, 1152, 7519, 338, 6946, 3103, 540, 8733, 3347, 855, 849, 5932, 5318, 9424, 540, 16160, 737, 12609, 269, 18601, 891, 2591, 3976, 7569, 7104, 7029, 543, 13710, 1689, 780, 13010, 267, 9301, 519, 7915, 4502, 543, 15683, 540, 782, 7068, 20383, 5702, 609, 2413, 5322, 14957, 585, 3662, 2924, 543, 2030, 4987, 269, 10765, 1382, 5267, 602, 2371, 4865, 10427, 2792, 5121, 543, 6542, 9670, 2157, 540, 4656, 267, 4101, 2757, 5784, 540, 18508, 607, 12809, 3615, 27507, 540, 2366, 1466, 269, 6684, 267, 3395, 2963, 6920, 602, 2831, 8858, 4359, 5042, 5759, 267, 3929, 6988, 267, 543, 3638, 1514, 2729, 269, 16871, 891, 4030, 1223, 5401, 1713, 10593, 538, 8456, 2509, 824, 31032, 25993, 7919, 543, 8300, 17105, 11428, 547, 5726, 3646, 780, 1103, 3932, 267, 3695, 519, 10167, 540, 27454, 10952, 2035, 899, 737, 12609, 267, 513, 327, 15501, 320, 267, 543, 25872, 3091, 3407, 2200, 585, 2502, 609, 2565, 2518, 2152, 899, 2825, 9178, 543, 2527, 14486, 269, 1635, 8508, 11455, 4485, 16135, 538, 8296, 543, 27527, 585, 782, 1272, 3029, 267, 649, 1522, 6536, 3152, 10103, 1369, 6000, 267, 1851, 2950, 267, 543, 2066, 519, 6626, 19236, 2146, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 9665, 12815, 269, 4340, 547, 27454, 2245, 267, 519, 1101, 998, 519, 8938, 29364, 570, 9500, 1678, 31730, 630, 13512, 4868, 21144, 24084, 2989, 7919, 945, 10836, 538, 519, 1576, 540, 513, 17184, 4783, 547, 4001, 519, 2619, 547, 19802, 264, 1185, 11999, 1272, 21269, 543, 4266, 1394, 538, 942, 607, 2484, 607, 1896, 5479, 1296, 269, 3962, 570, 9500, 1678, 4673, 814, 513, 10156, 1272, 12732, 982, 519, 3105, 835, 269, 634, 1699, 3126, 7475, 609, 10067, 822, 4275, 267, 519, 8938, 21144, 628, 267, 945, 568, 4371, 547, 723, 5030, 585, 29235, 26690, 1296, 563, 18605, 271, 268, 5002, 271, 14514, 269, 11628, 5123, 540, 519, 4498, 1952, 534, 267, 610, 1473, 639, 9503, 267, 31511, 269, 2368, 27454, 5640, 13498, 4296, 1063, 519, 2528, 540, 519, 1473, 639, 9503, 31511, 267, 607, 10630, 538, 922, 15456, 3788, 267, 543, 27454, 1143, 267, 11021, 602, 930, 3688, 454, 24119, 1112, 681, 880, 629, 3873, 267, 610, 1520, 514, 24048, 267, 519, 1101, 570, 9500, 1678, 4673, 267, 543, 1179, 6819, 602, 681, 880, 629, 3873, 729, 606, 1271, 2686, 4137, 585, 1700, 663, 5310, 1256, 513, 13653, 540, 1700, 10472, 10340, 630, 303, 926, 16223, 476, 1220, 273, 1916, 5611, 271, 268, 1911, 271, 14514, 269, 1230, 14846, 14046, 6580, 540, 519, 5888, 540, 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 ]
[ 322, 27005, 333, 322, 28434, 26501, 273, 321, 271, 333, 322, 18231, 333, 322, 25971, 26501, 273, 321, 276, 323, 617, 322, 273, 6277, 26501, 273, 321, 271, 333, 322, 27005, 333, 322, 27005, 26501, 273, 321, 9536, 322, 273, 321, 279, 323, 617, 322, 273, 5523, 322, 273, 321, 273, 563, 13640, 4588, 1603, 3211, 8666, 4976, 3446, 476, 275, 513, 1863, 7792, 3211, 8586, 269, 8018, 5037, 1603, 3211, 5220, 689, 519, 3610, 3391, 476, 273, 526, 3446, 585, 476, 275, 628, 269, 476, 273, 526, 3446, 5037, 978, 3211, 585, 782, 476, 275, 628, 5552, 788, 541, 4588, 4079, 1706, 4588, 563, 13640, 4588, 3876, 3311, 19298, 8666, 3239, 1469, 585, 2093, 18954, 10822, 476, 275, 628, 5552, 788, 541, 4588, 269, 8018, 5037, 1603, 3211, 8666, 1863, 7792, 476, 275, 628, 3446, 7824, 269, 8018, 5037, 1603, 19298, 8666, 513, 544, 516, 545, 615, 339, 3214, 585, 476, 275, 628, 3446, 269, 24225, 1603, 3211, 3446, 476, 275, 1863, 7792, 25777, 3211, 8218, 940, 563, 15100, 476, 1960, 280, 268, 1001, 280, 5403, 5287, 2593, 269, 2353, 2924, 11603, 269, 0, 289, 548, 874, 541, 4345, 568, 513, 5312, 3119, 22442, 573, 6553, 269, 898, 568, 9425, 1455, 538, 12136, 543, 1373, 513, 2783, 609, 1121, 3827, 543, 882, 22663, 267, 2164, 538, 513, 8519, 2298, 540, 1272, 952, 7850, 3800, 616, 711, 3144, 269, 18127, 6926, 874, 541, 4345, 568, 519, 1034, 1455, 2783, 2404, 609, 14834, 541, 2670, 269, 9282, 972, 616, 1585, 2081, 540, 1362, 4328, 6926, 874, 541, 4345, 267, 519, 1034, 3730, 568, 519, 835, 6069, 676, 30247, 267, 13296, 6926, 874, 541, 4345, 666, 581, 9286, 1759, 593, 2436, 972, 568, 513, 12880, 9525, 540, 519, 851, 540, 519, 22442, 573, 18751, 547, 519, 12457, 1899, 630, 534, 10262, 6926, 874, 541, 4345, 1070, 610, 17911, 547, 519, 12457, 1899, 630, 14006, 7845, 6926, 874, 541, 4345, 1040, 634, 12457, 1899, 568, 606, 16494, 1899, 12270, 519, 22442, 573, 883, 606, 18751, 851, 9967, 540, 519, 2960, 543, 4887, 267, 543, 513, 17911, 851, 9967, 540, 519, 512, 1513, 639, 543, 31792, 10216, 563, 29730, 628, 21633, 543, 30847, 1312, 666, 7369, 4552, 543, 2960, 1599, 543, 2497, 269, 1403, 596, 10093, 1406, 2907, 1044, 8995, 609, 513, 11178, 1966, 267, 855, 616, 7092, 689, 4552, 2530, 543, 536, 992, 2530, 267, 621, 949, 581, 942, 798, 930, 2228, 1382, 543, 2911, 547, 707, 4387, 269, 634, 1292, 2589, 616, 3335, 4552, 2530, 267, 9260, 2744, 267, 9854, 1256, 609, 7850, 1964, 267, 7099, 23638, 543, 811, 630, 306, 895, 899, 596, 286, 3367, 811, 1934, 1916, 295, 1515, 2530, 610, 24052, 1145, 568, 513, 4719, 16023, 267, 855, 7429, 1018, 596, 949, 723, 1044, 5143, 267, 621, 779, 711, 8209, 5293, 1524, 689, 707, 14774, 22516, 269, 6481, 2257, 814, 2097, 547, 1451, 602, 4552, 2530, 6090, 616, 2965, 5293, 1524, 689, 1312, 5011, 540, 519, 1920, 267, 543, 789, 1860, 4552, 2530, 538, 1312, 2367, 543, 2021, 269, 22458, 2530, 6090, 949, 849, 18178, 5481, 543, 616, 19039, 569, 4351, 538, 2474, 540, 799, 16254, 630, 332, 1446, 610, 4775, 264, 789, 786, 1860, 269, 634, 2014, 540, 4552, 2530, 585, 835, 1920, 4759, 949, 8428, 689, 602, 540, 1776, 563, 295, 1515, 2530, 949, 849, 2049, 1813, 547, 2732, 532, 269, 17012, 577, 2213, 2732, 3292, 799, 616, 2966, 610, 13950, 896, 519, 4287, 540, 513, 10629, 609, 11311, 6980, 267, 8192, 9360, 543, 6171, 28453, 723, 1831, 2442, 269, 6884, 519, 7817, 568, 5143, 602, 8324, 616, 513, 2556, 851, 540, 519, 1982, 547, 2061, 4552, 2530, 2404, 609, 2732, 532, 269, 3245, 513, 17172, 5505, 779, 29459, 267, 2705, 267, 519, 8324, 3112, 2061, 4552, 2530, 2404, 609, 4028, 267, 1713, 2597, 2530, 269, 5015, 267, 1082, 540, 891, 9360, 616, 1164, 538, 6171, 589, 799, 666, 3172, 1518, 519, 4552, 2530, 563, 295, 768, 2158, 616, 7814, 673, 269, 4530, 16238, 2157, 538, 930, 2367, 6749, 676, 476, 1015, 2600, 1142, 8717, 1310, 13977, 269, 6468, 781, 9449, 2157, 7771, 607, 22797, 4485, 543, 6749, 25921, 1282, 22797, 543, 3564, 269, 634, 28023, 2470, 540, 1312, 938, 4552, 543, 10399, 568, 835, 2601, 4552, 2530, 666, 2333, 538, 519, 2110, 2165, 1256, 950, 596, 616, 7680, 513, 1279, 3856, 3500, 6658, 540, 4552, 2530, 630, 663, 513, 1279, 3856, 2333, 538, 4552, 2208, 264, 1247, 593, 513, 2126, 602, 8060, 4552, 2530, 563, 23086, 27150, 3123, 2960, 6553, 543, 950, 4049, 621, 666, 1860, 519, 4552, 32235, 607, 1134, 269, 898, 666, 2901, 581, 1813, 547, 930, 8886, 656, 1818, 3346, 609, 519, 2960, 540, 519, 32071, 4900, 610, 1813, 547, 513, 6219, 547, 799, 513, 1268, 814, 606, 14711, 269, 901, 3947, 4473, 547, 519, 1079, 2010, 540, 3346, 27150, 1107, 8886, 656, 3346, 27150, 610, 13027, 3346, 27150, 269, 15240, 1734, 602, 1223, 2014, 3346, 27150, 693, 519, 32071, 992, 2882, 3750, 17539, 1519, 32071, 992, 22796, 267, 4552, 8851, 1212, 4461, 543, 14589, 525, 267, 824, 30143, 267, 4552, 24470, 543, 21435, 4552, 18908, 1782, 2472, 563, 12507, 3218, 1022, 4552, 2530, 950, 4358, 1007, 6527, 269, 26597, 6527, 666, 2014, 10151, 610, 8628, 4552, 2530, 267, 1519, 18068, 267, 31520, 267, 543, 7099, 11689, 9088, 269, 16480, 267, 1082, 824, 6527, 666, 2014, 4552, 2530, 538, 9678, 2665, 269, 1403, 596, 4312, 8068, 4552, 2530, 1310, 4358, 513, 1007, 6646, 267, 2911, 547, 707, 4387, 827, 713, 2427, 1198, 563, 1103, 2367, 267, 1710, 2120, 728, 630, 10594, 3373, 30630, 607, 1160, 24249, 264, 568, 9516, 585, 4552, 2530, 2404, 609, 543, 5766, 839, 269, 769, 835, 1353, 267, 476, 7830, 260, 540, 2021, 849, 2921, 5711, 15333, 1061, 1161, 5627, 519, 10991, 1322, 652, 514, 546, 4592, 335, 790, 333, 821, 4080, 6454, 269, 1924, 621, 949, 581, 2500, 585, 4775, 4552, 2530, 538, 519, 4259, 540, 2799, 543, 4088, 269, 1809, 2090, 616, 3908, 543, 621, 568, 5739, 547, 519, 5256, 21565, 865, 1058, 711, 581, 1031, 676, 2021, 3206, 827, 4742, 9176, 610, 945, 616, 9176, 563, 2252, 596, 723, 1022, 811, 4145, 827, 6132, 528, 823, 267, 1175, 3314, 602, 6132, 528, 823, 31496, 616, 513, 10656, 1521, 267, 543, 18246, 267, 7899, 540, 10656, 1004, 616, 10438, 519, 8631, 593, 513, 2834, 4493, 609, 1100, 2192, 2360, 269, 769, 20208, 267, 713, 949, 581, 606, 2500, 630, 663, 17705, 264, 1259, 547, 6318, 707, 21110, 2157, 269, 2755, 596, 616, 693, 621, 267, 596, 666, 2569, 1022, 29463, 2042, 596, 4755, 547, 723, 563, 300, 1446, 4806, 4552, 2530, 814, 1044, 3964, 607, 543, 4088, 17466, 1317, 621, 568, 2404, 609, 2242, 538, 519, 543, 4088, 13805, 543, 20781, 547, 4550, 663, 4088, 3797, 630, 292, 961, 529, 1696, 620, 1421, 476, 1220, 273, 1040, 2060, 674, 15771, 299, 267, 6090, 602, 31391, 12906, 520, 848, 267, 799, 17838, 19697, 547, 1609, 2784, 2723, 267, 616, 849, 26582, 630, 312, 1794, 323, 629, 14508, 1696, 620, 1421, 476, 1220, 279, 267, 962, 760, 1696, 620, 1421, 476, 1220, 280, 1040, 634, 1184, 540, 543, 4088, 19777, 11853, 568, 13269, 538, 7612, 476, 272, 563, 4263, 22458, 11833, 267, 596, 666, 581, 851, 540, 513, 1134, 28004, 267, 7123, 2754, 609, 811, 982, 476, 2412, 1296, 540, 1967, 269, 1284, 616, 519, 2872, 6205, 538, 3246, 4552, 2530, 3435, 269, 3776, 2754, 2528, 568, 1187, 267, 3728, 19550, 267, 28450, 543, 2501, 609, 513, 25903, 269, 3502, 1152, 798, 649, 1118, 513, 3017, 538, 519, 2729, 540, 938, 7218, 1169, 1554, 267, 649, 849, 3565, 547, 519, 2146, 12725, 998, 938, 26988, 543, 15321, 3292, 269, 1403, 596, 2461, 25981, 267, 12592, 543, 8746, 267, 649, 8910, 2648, 547, 2911, 547, 596, 827, 11836, 938, 2319, 540, 4552, 11808, 4648, 563, 8448, 5061, 4122, 11911, 547, 4929, 14834, 541, 2670, 616, 544, 7821, 267, 1884, 4815, 698, 592, 1218, 267, 4550, 268, 3273, 6856, 565, 5061, 267, 1884, 603, 8557, 5061, 267, 605, 1440, 12935, 565, 267, 1130, 2889, 545, 3679, 267, 536, 7595, 3679, 267, 543, 28538, 665, 2815, 710, 16804, 2641, 267, 4200, 316, 4165, 4815, 698, 592, 1218, 538, 1164, 13066, 723, 1044, 1336, 547, 3132, 2530, 540, 21435, 267, 1435, 545, 267, 4949, 16736, 267, 543, 11132, 4552, 609, 2530, 540, 32071, 4900, 1310, 513, 24353, 1974, 540, 513, 1906, 4374, 540, 2126, 609, 632, 868, 3757, 543, 646, 1706, 514, 269, 1160, 1440, 12935, 565, 666, 2014, 27556, 620, 641, 1815, 807, 2059, 609, 2530, 540, 32071, 4900, 1813, 547, 22007, 4094, 2498, 1663, 341, 1756, 267, 2356, 1310, 1614, 3275, 540, 3797, 269, 13809, 540, 31443, 2460, 540, 32071, 4900, 666, 581, 2938, 538, 10099, 4926, 6534, 547, 1130, 2889, 545, 3679, 269, 5262, 2224, 620, 641, 1815, 807, 1519, 602, 540, 32071, 4900, 814, 1044, 4330, 1813, 547, 5312, 28453, 540, 5023, 342, 10449, 5627, 536, 7595, 3679, 269, 1703, 729, 2347, 30729, 1739, 16069, 519, 2259, 269, 23821, 617, 30249, 814, 1044, 7074, 547, 2014, 4049, 27556, 620, 641, 1815, 807, 1369, 1614, 3275, 540, 3232, 946, 269, 22458, 2530, 666, 2049, 4166, 1310, 4358, 22521, 1295, 31038, 559, 3797, 630, 16746, 547, 1033, 16670, 540, 8630, 24827, 1739, 16889, 24827, 556, 550, 1359, 606, 10402, 1070, 543, 1310, 29696, 540, 3797, 630, 16746, 547, 22007, 4094, 2498, 1663, 341, 1756, 1916, 288, 269, 28238, 6950, 616, 711, 585, 4775, 4806, 4552, 2530, 855, 616, 3006, 1031, 585, 620, 641, 1815, 807, 616, 1092, 630, 4944, 582, 1399, 4552, 2530, 602, 568, 1114, 982, 4552, 2530, 1813, 547, 11976, 543, 10172, 1040, 21558, 2036, 338, 286, 1703, 616, 930, 5359, 602, 1970, 7400, 1769, 3797, 1223, 12954, 4552, 2208, 538, 930, 1004, 269, 898, 781, 1945, 547, 2119, 950, 1004, 1745, 899, 789, 723, 1100, 824, 1434, 3681, 269, 2311, 1269, 12573, 267, 621, 781, 7199, 543, 594, 6415, 711, 2386, 621, 781, 4502, 519, 2724, 267, 855, 621, 568, 2922, 563, 2252, 596, 4076, 936, 680, 26786, 707, 8202, 1932, 1082, 2053, 267, 596, 949, 723, 3361, 8194, 547, 519, 32235, 538, 519, 29291, 267, 1129, 16226, 711, 1152, 1346, 24827, 596, 726, 26786, 547, 3247, 3395, 1394, 267, 855, 849, 519, 24827, 538, 4478, 2127, 269, 634, 1434, 3377, 281, 1403, 519, 4552, 32235, 5749, 1406, 4666, 267, 789, 666, 7654, 581, 695, 2586, 689, 741, 16889, 1533, 609, 513, 1434, 536, 992, 2573, 22083, 269, 630, 3697, 654, 2562, 298, 9811, 540, 1576, 267, 649, 723, 547, 2161, 621, 1040, 1703, 779, 1100, 2386, 914, 338, 267, 855, 621, 779, 4502, 513, 2119, 1700, 15200, 654, 1074, 814, 513, 2724, 25746, 10018, 2336, 763, 1034, 1455, 1826, 540, 4552, 2530, 2938, 538, 2021, 568, 543, 4088, 2045, 620, 641, 1815, 807, 267, 849, 1634, 607, 4775, 4806, 620, 641, 1815, 807, 610, 24052, 1145, 269, 901, 568, 2938, 607, 4552, 30034, 15866, 936, 519, 1283, 543, 5011, 540, 519, 2212, 269, 898, 5540, 5111, 835, 21017, 540, 782, 11630, 2021, 267, 855, 568, 1034, 4122, 2938, 1310, 22797, 267, 4352, 621, 949, 2253, 607, 2038, 607, 23648, 269, 16453, 4552, 2887, 568, 5111, 476, 1911, 268, 10219, 24827, 829, 1554, 269, 18641, 267, 891, 24827, 616, 8719, 269, 6936, 4552, 2530, 4386, 950, 4503, 24827, 616, 711, 1036, 3497, 610, 950, 519, 3232, 4552, 8774, 20489, 476, 10219, 24827, 269, 2637, 13443, 267, 4552, 2530, 666, 2097, 689, 2901, 3237, 2427, 540, 519, 1920, 563, 2467, 666, 581, 1022, 1297, 540, 1114, 2188, 7700, 547, 707, 4552, 2530, 269, 1403, 596, 2461, 2542, 713, 543, 3206, 267, 968, 6202, 594, 723, 602, 543, 602, 267, 543, 993, 2469, 998, 602, 2223, 1287, 596, 949, 2907, 723, 606, 2856, 540, 1018, 568, 513, 7700, 2014, 585, 596, 269, 1411, 949, 2907, 581, 3257, 1454, 540, 1018, 568, 6700, 1934, 543, 949, 1451, 540, 3606, 2093, 547, 2015, 3843, 563, 2467, 568, 849, 513, 1114, 538, 519, 1106, 540, 476, 276, 2752, 11747, 630, 276, 13672, 1487, 551, 848, 264, 1336, 593, 519, 11132, 4552, 32235, 5288, 269, 519, 21435, 4552, 32235, 269, 901, 11747, 17838, 19697, 883, 602, 811, 16609, 667, 12487, 269, 7392, 594, 667, 12487, 568, 1336, 538, 694, 321, 17675, 15374, 593, 519, 3068, 543, 19058, 1858, 6466, 7392, 4083, 568, 1336, 538, 4552, 32235, 540, 519, 21435, 269, 7392, 4083 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2247, 26357, 689, 2219, 547, 2219, 899, 22171, 2220, 15781, 689, 3529, 547, 3529, 563, 2791, 991, 547, 2661, 811, 538, 519, 4090, 269, 12389, 538, 519, 4090, 1107, 849, 1572, 11009, 1107, 568, 513, 1533, 540, 3742, 267, 1930, 267, 18532, 3007, 593, 519, 1459, 563, 2691, 596, 1831, 13533, 267, 596, 8275, 602, 596, 616, 711, 707, 4555, 282, 596, 1831, 606, 20626, 540, 707, 4555, 689, 4090, 547, 4090, 1510, 32198, 873, 563, 21790, 6888, 3322, 1373, 609, 707, 4555, 607, 789, 616, 267, 9444, 30230, 4771, 693, 873, 6862, 11319, 873, 2476, 269, 5502, 540, 15603, 707, 1272, 979, 676, 1510, 2713, 621, 267, 596, 32570, 547, 1995, 563, 21790, 6888, 6971, 2566, 267, 25242, 4761, 8647, 267, 6971, 5312, 1928, 267, 24506, 1973, 2604, 267, 543, 2337, 609, 2860, 269, 1635, 10970, 11868, 2566, 267, 7836, 513, 1906, 3764, 513, 1554, 2519, 593, 2713, 538, 519, 4090, 6971, 519, 1981, 540, 2295, 2068, 563, 21790, 995, 1004, 616, 18668, 267, 811, 608, 21310, 656, 267, 811, 28450, 267, 543, 811, 5150, 269, 1358, 723, 2362, 1582, 12635, 543, 3398, 741, 1378, 12755, 563, 288, 16346, 538, 519, 1934, 543, 1631, 6971, 791, 6160, 2032, 543, 2746, 2032, 602, 896, 12340, 4965, 267, 28675, 4189, 267, 543, 3007, 2042, 563, 6546, 568, 835, 19433, 540, 2713, 538, 519, 4090, 281, 15154, 1932, 2182, 827, 1018, 596, 616, 3257, 2965, 2306, 596, 798, 8338, 269, 1403, 596, 616, 538, 513, 3510, 602, 2306, 596, 14221, 267, 2519, 593, 707, 4160, 11148, 547, 4463, 523, 621, 563, 30696, 1447, 593, 1018, 568, 2469, 593, 538, 707, 2247, 543, 811, 593, 1018, 568, 2469, 593, 1472, 596, 267, 1447, 593, 707, 2790, 669, 2660, 543, 811, 593, 3054, 607, 851, 540, 1945, 563, 2691, 596, 616, 13533, 267, 596, 616, 811, 2693, 547, 1995, 3054, 607, 851, 540, 8103, 267, 607, 851, 540, 513, 3152, 7122, 269, 1635, 4227, 1582, 23655, 1145, 267, 11009, 2636, 596, 547, 7198, 519, 8429, 12416, 540, 4606, 543, 1514, 12503, 269, 10312, 593, 519, 1459, 4090, 4229, 596, 547, 3247, 24057, 9722, 563, 21790, 6888, 25242, 707, 17607, 540, 875, 596, 2746, 547, 1018, 568, 8345, 538, 707, 2247, 269, 898, 4679, 519, 7934, 1063, 3929, 20949, 543, 2962, 563, 30696, 532, 593, 519, 1459, 556, 2692, 1824, 707, 2247, 865, 596, 666, 4431, 24617, 2864, 982, 8850, 269, 1411, 1205, 519, 4316, 547, 6430, 875, 596, 1616, 610, 1058, 4431, 563, 22818, 519, 1034, 2347, 1259, 540, 2713, 538, 519, 4090, 568, 519, 1533, 540, 2698, 10338, 16895, 1289, 2095, 269, 10046, 4386, 950, 519, 3178, 540, 707, 6278, 25309, 596, 1379, 2685, 269, 10046, 568, 606, 21792, 1533, 563, 2026, 609, 15832, 610, 3207, 267, 596, 666, 711, 1175, 786, 3054, 883, 621, 1107, 782, 596, 666, 798, 568, 1305, 519, 3942, 267, 2870, 519, 6099, 2175, 585, 621, 547, 2049, 269, 1411, 1745, 607, 952, 707, 454, 288, 16346, 12388, 525, 609, 519, 2962, 596, 616, 7900, 563, 21790, 6888, 568, 711, 513, 3804, 267, 1317, 3853, 616, 827, 519, 2104, 267, 855, 596, 798, 723, 547, 1305, 519, 9837, 540, 9878, 3007, 547, 1018, 568, 8345, 693, 519, 1459, 4090, 269, 28161, 3222, 540, 1373, 9800, 269, 1656, 13236, 563, 2026, 596, 2721, 707, 1985, 7362, 267, 1445, 593, 519, 538, 1532, 805, 327, 543, 519, 856, 1532, 805, 327, 269, 1403, 596, 616, 3222, 540, 602, 4743, 1318, 1631, 267, 607, 596, 616, 2542, 267, 596, 616, 2713, 538, 519, 4090, 563, 301, 5847, 4523, 1985, 269, 898, 568, 711, 513, 10278, 269, 901, 568, 621, 269, 1411, 616, 2907, 972, 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 ]
[ 656, 8851, 269, 1306, 513, 1267, 267, 519, 19993, 2175, 585, 782, 1739, 6901, 941, 476, 4968, 589, 8276, 273, 630, 9690, 5860, 264, 543, 476, 1839, 1295, 630, 339, 13015, 8653, 1040, 1677, 5265, 3262, 519, 30243, 592, 656, 2339, 6383, 676, 606, 21288, 16617, 267, 513, 6419, 13489, 17243, 609, 513, 6024, 28817, 3432, 540, 476, 5197, 678, 10975, 729, 1031, 269, 634, 6901, 941, 5645, 856, 1210, 11956, 22809, 269, 634, 3003, 8097, 543, 2079, 1184, 3576, 1747, 693, 4055, 2837, 269, 634, 1310, 3887, 937, 549, 1723, 698, 1637, 1184, 5439, 941, 4847, 547, 7017, 16074, 267, 543, 1287, 519, 2706, 333, 520, 656, 3070, 729, 1232, 5896, 585, 2417, 631, 22661, 543, 1147, 2399, 656, 2079, 269, 634, 6547, 602, 1491, 1747, 1282, 6850, 1723, 698, 1637, 630, 520, 519, 606, 1712, 267, 30932, 267, 543, 13557, 5420, 264, 616, 2143, 2630, 563, 5475, 23928, 519, 31993, 267, 519, 2706, 333, 520, 656, 3070, 729, 3144, 9900, 547, 2417, 5659, 631, 22661, 267, 606, 31020, 1147, 2399, 1218, 267, 543, 2910, 291, 9830, 269, 634, 31993, 729, 9674, 543, 1287, 12015, 585, 476, 2190, 554, 693, 476, 3393, 11019, 290, 538, 513, 12511, 15018, 14089, 269, 3962, 4603, 729, 7368, 1614, 2053, 269, 1677, 1353, 519, 3310, 540, 3355, 9063, 267, 519, 9063, 2418, 941, 14661, 676, 1210, 29809, 670, 273, 12569, 275, 543, 10878, 15121, 3435, 563, 24058, 14791, 267, 3067, 2305, 267, 3114, 5888, 267, 543, 24466, 18572, 454, 5475, 519, 3732, 7041, 267, 22012, 17011, 941, 16271, 547, 3308, 18570, 896, 606, 9804, 17209, 267, 799, 568, 519, 1034, 3622, 1031, 1935, 585, 7114, 631, 22661, 269, 5843, 325, 9200, 5536, 941, 19040, 1759, 593, 741, 3029, 543, 7306, 269, 1677, 3313, 519, 6198, 2516, 8659, 538, 519, 5833, 5439, 267, 674, 2316, 305, 2079, 540, 519, 631, 22661, 3732, 729, 5340, 1210, 3131, 7219, 14976, 1067, 25400, 4083, 269, 901, 1826, 540, 4715, 14029, 8084, 7634, 6087, 519, 4977, 8446, 540, 519, 10545, 10991, 5068, 5536, 269, 2991, 1142, 6850, 1723, 698, 1637, 4603, 267, 519, 31993, 729, 16626, 543, 12015, 693, 476, 3393, 11019, 290, 585, 476, 4366, 554, 543, 2417, 8947, 609, 513, 2361, 12998, 17655, 6475, 17209, 630, 293, 2464, 4932, 264, 630, 10048, 3011, 25033, 281, 14161, 14858, 1170, 282, 7844, 281, 26155, 7236, 476, 4968, 264, 547, 1353, 519, 24466, 18572, 540, 519, 31993, 543, 631, 22661, 563, 2304, 31020, 1147, 2399, 1218, 941, 12290, 3842, 4715, 5268, 582, 6248, 2553, 1210, 18861, 2940, 4544, 607, 519, 3742, 6219, 267, 543, 713, 3044, 1505, 729, 8246, 547, 3313, 1147, 2399, 656, 5834, 538, 7148, 1216, 630, 3041, 476, 23714, 276, 281, 3487, 476, 4281, 281, 476, 1708, 272, 267, 799, 568, 9838, 547, 18869, 476, 14341, 4792, 281, 476, 1220, 280, 1040, 634, 4480, 1568, 676, 8108, 606, 25617, 6292, 1063, 606, 31020, 1147, 2399, 1218, 543, 18861, 2940, 4544, 269, 1323, 31020, 2627, 268, 5562, 8069, 1106, 20919, 538, 5114, 609, 18861, 2940, 4544, 538, 606, 22279, 5420, 269, 1452, 20919, 616, 13939, 609, 8392, 334, 845, 543, 3679, 2126, 540, 519, 8392, 334, 845, 3070, 269, 13536, 267, 519, 10110, 766, 540, 519, 9678, 5214, 5123, 693, 519, 5021, 10338, 15423, 540, 476, 20981, 16354, 729, 6027, 676, 513, 5595, 15515, 600, 11158, 4715, 5268, 582, 10309, 630, 4537, 574, 611, 30349, 267, 11158, 268, 18605, 271, 25011, 274, 267, 3953, 267, 3451, 4940, 22384, 540, 1147, 2399, 656, 5834, 1210, 519, 11158, 4715, 5268, 582, 10309, 1505, 729, 513, 32462, 1184, 267, 799, 814, 1044, 16866, 538, 519, 28176, 6516, 543, 3254, 538, 7612, 476, 273, 269, 589, 2143, 10763, 5650, 585, 8159, 606, 31020, 1147, 2399, 656, 814, 1044, 5018, 538, 519, 4675, 11915, 1570, 563, 305, 2464, 8085, 4811, 6730, 20591, 290, 4785, 31064, 454, 763, 4162, 540, 27445, 16894, 2498, 23308, 6724, 616, 3254, 538, 7305, 476, 272, 269, 20306, 23308, 3653, 689, 27445, 729, 6394, 689, 6469, 538, 5239, 476, 1708, 273, 693, 594, 3951, 2871, 11445, 1002, 328, 267, 2667, 600, 267, 3127, 269, 769, 713, 1353, 267, 519, 2164, 3254, 538, 7305, 476, 272, 616, 519, 1611, 2418, 540, 1614, 1449, 5439, 269, 634, 4603, 729, 5342, 693, 4055, 2837, 269, 12726, 9063, 267, 8514, 7190, 267, 2910, 291, 606, 31020, 1147, 2399, 656, 267, 543, 5834, 540, 631, 22661, 941, 9916, 563, 23322, 2524, 540, 27445, 16894, 1354, 543, 1310, 6850, 1723, 698, 1637, 2126, 454, 347, 10485, 269, 3143, 13954, 13640, 600, 4394, 1475, 22873, 658, 2498, 23308, 4162, 1475, 16978, 549, 1723, 698, 1637, 5665, 6724, 543, 1942, 16759, 1475, 5475, 6850, 1723, 698, 1637, 2126, 2008, 347, 272, 1475, 335, 295, 1475, 280, 269, 272, 13008, 476, 271, 269, 276, 1475, 307, 284, 476, 1839, 1295, 267, 9063, 284, 476, 278, 2676, 7374, 476, 4968, 589, 6440, 332, 268, 273, 267, 853, 597, 2590, 3432, 476, 5197, 3248, 271, 269, 7871, 2475, 259, 6440, 332, 268, 274, 630, 4510, 12652, 6440, 332, 268, 274, 994, 347, 279, 269, 280, 13008, 476, 272, 2008, 347, 273, 1475, 307, 7875, 7190, 1475, 13970, 13008, 476, 1015, 24857, 308, 1475, 272, 269, 273, 13008, 476, 271, 269, 278, 24857, 308, 2008, 347, 274, 1475, 4596, 291, 1475, 279, 1789, 13008, 476, 1839, 630, 16936, 13624, 10534, 12208, 13008, 476, 276, 630, 16936, 13624, 264, 630, 285, 476, 5952, 8472, 2008, 347, 275, 1475, 2304, 31020, 1147, 2399, 656, 1475, 4366, 13008, 476, 274, 630, 16936, 13624, 10534, 275, 269, 274, 13008, 476, 272, 630, 16936, 13624, 264, 630, 285, 476, 3445, 8472, 2008, 347, 276, 1475, 300, 22661, 1475, 273, 267, 4968, 13008, 476, 13301, 631, 22661, 13624, 1475, 2004, 13008, 476, 1240, 13624, 630, 285, 476, 4817, 8472, 2008, 22546, 540, 9063, 454, 763, 9063, 540, 27445, 16894, 568, 513, 1360, 1713, 3815, 538, 519, 2773, 540, 519, 6850, 1723, 698, 1637, 1184, 269, 1677, 8495, 519, 3310, 540, 9063, 267, 519, 27445, 2498, 23308, 9063, 729, 14661, 609, 32561, 25694, 10878, 15121, 543, 670, 273, 12569, 275, 269, 7612, 476, 274, 20186, 519, 8851, 4398, 540, 631, 22661, 267, 1147, 2399, 656, 5834, 267, 543, 2910, 291, 693, 1114, 9063, 1310, 476, 1839, 1295, 540, 6850, 1723, 698, 1637, 5106, 269, 3245, 519, 4137, 267, 621, 666, 581, 2938, 602, 519, 8851, 4398, 540, 631, 22661, 538, 782, 519, 5439, 729, 1657, 476, 3445, 9077, 609, 9063, 2157, 8151, 689, 476, 275, 547, 476, 1015, 269, 1717, 267, 519, 8851, 4398, 540, 631, 22661, 693, 9063, 815, 476, 275, 543, 476, 1015, 568, 5594, 2539, 3379, 609, 9063, 815, 476, 277, 268, 279, 269, 4329, 267, 519, 8851, 4398, 540, 1147, 2399, 656, 543, 2910, 291, 729, 476, 11011, 260, 543, 476, 5952, 9077, 6606, 267, 693, 9063, 476, 278, 269, 2311, 9063, 815, 476, 278, 267, 519, 5021, 8851, 4398, 540, 782, 17694, 729, 5462, 547, 581, 6099, 269, 634, 2164, 1397, 602, 513, 811, 9243, 9063, 568, 2693, 547, 1683, 3152, 8851, 1813, 547, 519, 15028, 5250, 540, 30243, 592, 1218, 693, 9243, 9063, 267, 799, 568, 538, 1899, 609, 519, 2164, 540, 3131, 1066, 1696, 620, 269, 630, 1001, 279, 264, 543, 17435, 690, 5979, 1696, 620, 269, 630, 1001, 280, 25011, 2918, 267, 2764, 4940, 634, 3017, 538, 8851, 4398, 609, 9063, 568, 1813, 547, 519, 29230, 3974, 543, 12249, 1436, 540, 1325, 274, 266, 538, 519, 9063, 2039, 540, 476, 277, 268, 279, 267, 799, 5012, 547, 519, 5250, 540, 5536, 1325, 263, 15121, 264, 273, 31956, 1496, 2704, 273, 263, 15121, 264, 273, 316, 275, 31956, 1325, 263, 15121, 264, 274, 267, 543, 3810, 9901, 4874, 1337, 18038, 344, 23838, 1496, 2704, 1724, 263, 15121, 264, 3953, 316, 278, 31956, 799, 616, 2500, 585, 30243, 1637, 269, 1306, 519, 9063, 14380, 936, 476, 1015, 267, 519, 1292, 29230, 3974, 1587, 568, 1325, 263, 15121, 264, 275, 267, 799, 29620, 519, 10282, 540, 606, 617, 1242, 11956, 2249, 607, 1134, 607, 519, 23455, 1632, 540, 24797, 5536, 269, 634, 23455, 1632, 1198, 568, 30050, 693, 1970, 9063, 815, 476, 275, 1317, 1152, 11956, 12274, 616, 1459, 314, 1691, 267, 2918, 267, 2764, 14073, 22546, 540, 1699, 5860, 454, 14483, 5860, 568, 606, 1898, 9936, 538, 6850, 1723, 698, 1637, 4238, 2094, 621, 568, 606, 5665, 3815, 602, 949, 581, 2047, 14931, 1210, 519, 9823, 1379, 2707, 269, 7612, 476, 275, 20186, 519, 3328, 8851, 3928, 585, 519, 1585, 1699, 24186, 689, 476, 1911, 547, 476, 6110, 589, 8276, 273, 269, 898, 666, 581, 4767, 689, 519, 4137, 602, 519, 1689, 538, 1699, 5860, 814, 513, 9645, 1764, 593, 519, 8851, 4398, 540, 631, 22661, 267, 1147, 2399, 1218, 267, 543, 2910, 291, 9830, 269, 634, 8851, 4398, 2799, 609, 606, 2333, 538, 1699, 24186, 269, 901, 568, 538, 1899, 609, 10787, 611, 599, 779, 1876, 540, 14793, 3974, 269, 1879, 519, 1699, 5860, 540, 519, 1591, 568, 2799, 267, 4496, 12274, 5950, 689, 519, 22809, 616, 849, 2799, 267, 543, 1166, 665, 1529, 1218, 616, 2693, 547, 581, 1459, 693, 1164, 1699, 5860, 269, 8616, 267, 972, 729, 1100, 7805, 1689, 538, 8851, 4398, 1063, 476, 4968, 543, 476, 12573, 589, 8276, 273, 282, 2921, 10512, 1942, 883, 7156, 267, 513, 1699, 5860, 540, 476, 4968, 589, 8276, 273, 729, 1336, 547, 581, 19993, 267, 609, 513, 8851, 4398, 540, 476, 9032, 9077, 476, 3445, 269, 277, 9077, 543, 476, 10436, 260, 585, 631, 22661, 267, 1147, 2399, 1218, 267, 543, 2910, 291, 267, 6606, 269, 9747, 267, 476, 4968, 589, 8276, 273, 814, 1044, 2808, 585, 2417, 6901, 563, 22546, 540, 4393, 942, 454, 763, 2164, 540, 631, 22661, 267, 1147, 2399, 656, 267, 543, 2910, 291, 8851, 689, 27445, 16894, 676, 6850, 1723, 698, 1637, 607, 513, 1599, 540, 4393, 942, 616, 13269, 538, 7612, 476, 276, 269, 2552, 3133, 656, 8851, 4398, 6238, 2810, 950, 519, 14793, 3974, 8653, 568, 6659, 689, 476, 276, 547, 476, 3374, 1295, 267, 607, 2938, 538, 519, 4137, 269, 634, 2164, 1397, 602, 5114, 942, 814, 513, 15028, 3310, 593, 6850, 23755, 2126, 4398, 269, 1323, 21288, 6850, 1673, 1170, 1828, 3123, 519, 5305, 540, 30243, 6819, 2249, 1282, 6850, 1723, 698, 1637, 269, 15724, 583, 656, 8851, 4398, 568, 2047, 1644, 547, 4496, 9357, 27072, 5834, 269, 634, 5834, 540, 4496, 12274, 543, 2404, 28355, 1166, 665, 338, 538, 519, 1216, 3070, 4679, 607, 519, 14793, 3974, 8653, 4679, 269, 1323, 2333, 538, 519, 2126, 942, 2164, 538, 513, 3648, 3152, 8851, 269, 634, 942, 950, 30243, 592, 1218, 616, 538, 4430, 543, 1166, 665, 27218, 3217, 1852, 5526, 547, 581, 1063, 476, 736, 543, 476, 1839, 1295, 2094, 1699, 5860, 4667, 547, 723, 513, 3152, 1764, 593, 8764, 622, 17594, 1282, 713, 942, 1974, 269, 26121, 519, 19720, 585, 811, 982, 476, 1839, 1295, 1131, 1267, 538, 4430, 30243, 592, 656, 609, 5934, 1198, 593, 8851, 4398, 563, 8201, 476, 276, 269, 6356, 540, 14793, 3974, 942, 593, 519, 8851, 4398, 540, 631, 22661, 267, 1147, 2399, 1218, 543, 2910, 291, 269, 1234, 18503, 7131, 476, 4968, 568, 589, 8276, 273, 267, 9063, 476, 278, 267, 19650, 19437, 476, 271, 269, 276, 4699, 267, 543, 28817, 3432, 476, 5197, 678, 10975, 269, 2910, 291, 281, 11906, 5135, 3747, 282, 631, 22661, 281, 29370, 756, 619, 563, 12234, 267, 12675, 5106, 2164, 538, 2799, 19650, 543, 1648, 4616, 269, 4475, 267, 519, 5665, 942, 540, 476, 1839, 1295, 729, 1336, 547, 581, 19993, 609, 513, 8851, 4398, 540, 476, 9032, 269, 280, 9077, 476, 11011, 269, 273, 9077, 543, 476, 10436, 269, 274, 260, 585, 631, 22661, 267, 1147, 2399, 656, 267, 543, 2910, 291, 267, 6606, 267, 693, 9063, 476, 278, 543, 476, 4968, 589, 8276, 273, 269, 634, 3355, 8514, 7190, 8519, 689, 476, 13970, 13008, 476, 1015, 547, 476, 272, 269, 273, 13008, 476, 271, 269, 278, 24857, 308, 563, 23322, 2524, 540, 29370, 756, 619, 543, 1166, 665, 338, 454, 18893, 673, 18784, 2079, 454, 299, 25423, 16894, 729, 4767, 896, 606, 9804, 17209, 269, 634, 2164, 9672, 519, 6228, 540, 631, 22661, 538, 782, 540, 519, 27445, 16894, 5439, 1496, 8201, 476, 277, 288, 4940, 898, 729, 4767, 602, 27445, 16894, 8659, 1472, 476, 273, 267, 4968, 13008, 476, 13301, 631, 22661, 13624, 610, 476, 5379, 267, 12573, 910, 6872, 267, 5611 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2043, 547, 1866, 676, 2673, 2123, 3346, 267, 998, 519, 2011, 950, 2576, 11522, 338, 610, 14229, 324, 8240, 543, 15700, 7783, 3615, 543, 1287, 15700, 707, 5023, 267, 9224, 610, 4064, 269, 12580, 666, 2039, 689, 513, 1906, 2395, 547, 513, 1906, 4374, 563, 3849, 523, 990, 21905, 543, 8318, 822, 21905, 616, 1312, 1455, 7929, 8290, 538, 1453, 543, 4079, 269, 1703, 616, 1896, 1114, 2010, 540, 20722, 990, 21905, 543, 8318, 822, 21905, 269, 4107, 2014, 5266, 7646, 4576, 538, 6382, 2635, 1004, 269, 1717, 267, 930, 2010, 666, 2014, 811, 4049, 2068, 269, 1280, 1383, 267, 16568, 17336, 268, 273, 568, 513, 11452, 602, 3123, 5046, 268, 866, 267, 799, 568, 811, 4049, 982, 1034, 8318, 822, 21905, 269, 6684, 267, 930, 1016, 18196, 540, 20722, 21552, 666, 2014, 811, 4049, 2068, 563, 2791, 666, 2061, 519, 3262, 540, 20722, 21552, 2147, 547, 519, 6604, 2853, 585, 824, 8290, 269, 15706, 1058, 11547, 3946, 1419, 609, 12853, 543, 1216, 585, 693, 2547, 476, 736, 7643, 267, 2057, 2673, 3346, 609, 1346, 945, 616, 7210, 267, 3251, 1753, 952, 596, 1745, 2192, 267, 2057, 15700, 707, 3068, 609, 7938, 14414, 3946, 267, 11522, 543, 14229, 324, 2763, 538, 707, 19492, 557, 610, 5160, 630, 2254, 707, 3946, 1070, 543, 2057, 4687, 11680, 543, 27022, 543, 21098, 532, 1866, 563, 3849, 523, 21552, 568, 1634, 547, 2014, 17537, 538, 20169, 12256, 543, 4587, 1453, 602, 723, 513, 18604, 4761, 1062, 269, 1284, 5855, 827, 20722, 21552, 4929, 4049, 17537, 538, 938, 6375, 665, 20234, 668, 2213, 2550, 267, 971, 607, 1346, 593, 18068, 543, 945, 723, 1185, 1418, 1098, 17852, 269, 1717, 267, 621, 1281, 711, 3335, 2014, 17537, 538, 4587, 1453, 945, 616, 6382, 2635, 563, 295, 788, 22807, 568, 6553, 540, 519, 6797, 602, 3123, 6797, 1591, 3441, 543, 952, 4049, 267, 666, 15936, 609, 519, 3339, 1599, 540, 519, 6797, 269, 769, 4049, 2665, 540, 17537, 267, 6797, 5821, 610, 2669, 666, 2049, 269, 5164, 531, 3968, 568, 835, 540, 519, 811, 1455, 3123, 540, 17537, 269, 1703, 616, 2185, 1292, 2010, 540, 17537, 3644, 1519, 17537, 589, 267, 645, 267, 595, 267, 543, 661, 563, 763, 1739, 616, 519, 1034, 1455, 2589, 540, 17537, 269, 1717, 267, 1142, 1126, 949, 1995, 2589, 8335, 543, 930, 1453, 949, 1995, 1100, 2589, 693, 782, 563, 21618, 540, 8650, 630, 629, 4533, 12614, 264, 17537, 949, 1331, 519, 1739, 912, 1103, 1840, 547, 513, 2347, 2564, 1686, 543, 6514, 676, 707, 10629, 267, 10368, 5773, 543, 824, 4255, 949, 581, 2877, 547, 3313, 519, 6708, 540, 519, 2068, 563, 21675, 585, 17537, 9775, 4470, 593, 519, 5817, 2014, 540, 519, 2068, 543, 1058, 581, 5462, 676, 513, 1126, 779, 10629, 269, 634, 3804, 540, 2126, 568, 547, 3247, 3441, 547, 519, 6797, 543, 13468, 2589, 269, 0, 1432, 596, 991, 547, 917, 912, 268, 5851, 1426, 11091, 2337, 596, 6006, 909, 543, 4688, 2724, 267, 2436, 596, 616, 3395, 707, 1378, 1426, 610, 9140, 538, 13557, 563, 4407, 4195, 3536, 616, 513, 29535, 2329, 547, 1082, 267, 6616, 2081, 540, 8497, 1426, 949, 1832, 621, 3476, 585, 519, 2048, 323, 787, 685, 2395, 563, 15430, 6326, 1426, 1797, 1210, 513, 3099, 540, 2553, 547, 1832, 1426, 689, 3478, 24401, 2830, 543, 24906, 1310, 7556, 610, 26718, 563, 288, 2647, 2039, 540, 29089, 725, 616, 4294, 547, 1426, 971, 607, 5986, 267, 14495, 267, 12104, 3130, 267, 16171, 267, 15018, 267, 543, 666, 940, 267, 1851, 1866, 269, 901, 10416, 3322, 8851, 610, 1852, 540, 2188, 799, 1860, 9190, 2208, 971, 607, 946, 540, 1970, 610, 1164, 5210, 267, 7509, 1852, 267, 18024, 543, 946, 540, 1978, 6464, 607, 29089, 2510, 563, 6097, 547, 7671, 320, 15815, 30377, 267, 513, 1019, 2045, 1014, 267, 972, 616, 1883, 3344, 543, 1271, 2409, 1031, 538, 4509, 519, 9422, 1871, 267, 9403, 543, 30993, 540, 782, 3536, 607, 1134, 607, 9013, 543, 11318, 14471, 1282, 1426, 11091, 563, 5445, 1331, 6140, 2837, 1852, 2409, 971, 607, 1970, 610, 1164, 5210, 267, 799, 568, 2101, 569, 1316, 2213, 693, 1753, 267, 6322, 693, 14178, 519, 6617, 540, 3536, 676, 23646, 1524, 610, 1139, 7675, 9178, 6127, 998, 4657, 4143, 2188, 563, 303, 559, 30377, 15565, 519, 1739, 11091, 2409, 912, 1607, 568, 513, 10151, 1426, 11091, 1505, 799, 3322, 9023, 540, 3536, 689, 4642, 547, 2947, 5232, 610, 2630, 267, 25224, 532, 519, 2208, 540, 14471, 3976, 8497, 1426, 585, 513, 1978, 1974, 540, 942, 563, 13349, 569, 14023, 730, 3536, 616, 4195, 5613, 267, 5388, 267, 5798, 267, 3165, 267, 10683, 2472, 267, 16469, 563, 1607, 568, 519, 2547, 942, 10438, 543, 1034, 10375, 2409, 540, 1426, 11091, 1317, 621, 568, 1360, 1434, 693, 20808, 519, 3536, 685, 9422, 1871, 267, 2067, 7990, 543, 9403, 982, 824, 2409, 540, 11091, 563, 9616, 281, 5131, 4506, 1281, 711, 6861, 27253, 720, 855, 13515, 519, 2208, 540, 14471, 952, 9738, 2630, 2942, 476, 1240, 5232, 563, 291, 11538, 540, 3536, 568, 513, 18024, 1505, 602, 3322, 946, 540, 3141, 543, 2011, 630, 13388, 264, 547, 21391, 2208, 540, 4551, 267, 13803, 267, 543, 22285, 998, 8851, 540, 7509, 1543, 563, 15933, 338, 602, 666, 581, 12015, 1331, 5613, 267, 5388, 267, 22053, 267, 14546, 267, 14132, 543, 3165, 269, 901, 666, 581, 2944, 9170, 607, 1279, 607, 519, 1426, 568, 5265, 17411, 543, 6740, 1134, 563, 15430, 3569, 538, 6070, 543, 4006, 454, 1607, 3322, 946, 540, 6070, 543, 4006, 607, 513, 1259, 540, 23646, 1524, 1426, 24401, 4979, 14471, 676, 4227, 519, 1216, 1543, 543, 32485, 15451, 2208, 563, 13349, 4006, 12873, 3536, 616, 25888, 585, 1383, 12566, 20625, 267, 27335, 267, 12450, 9440, 25888, 543, 1455, 6070, 12873, 3536, 616, 3165, 543, 14132, 267, 1851, 1866, 563, 28308, 3170, 15018, 454, 1607, 3322, 946, 540, 1164, 2837, 11041, 547, 8190, 3536, 269, 5871, 3536, 12873, 1210, 713, 616, 9341, 3536, 971, 607, 2030, 664, 630, 12455, 10937, 1070, 9721, 12277, 543, 6653, 12277, 1500, 538, 1106, 540, 5743, 1186, 563, 1607, 568, 513, 3114, 5114, 538, 799, 14471, 971, 607, 4551, 543, 13803, 6460, 11950, 883, 4568, 563, 13349, 3536, 1331, 10683, 2472, 971, 607, 10381, 267, 15446, 327, 4669, 267, 5144, 607, 1134, 607, 24799, 971, 607, 2113, 2280, 267, 22408, 32758, 267, 10568, 543, 22959, 563, 6097, 547, 7671, 320, 15815, 30377, 267, 513, 1019, 2045, 1014, 267, 1426, 11091, 6238, 689, 875, 1426, 814, 1044, 12630, 267, 19122, 267, 16487, 267, 6740, 543, 17411, 1247, 5986, 563, 21982, 513, 16994, 1413, 693, 1022, 2242, 971, 607, 7990, 267, 5546, 267, 9403, 543, 7509, 1543, 540, 3536, 607, 1134, 607, 1163, 597, 344, 4266, 950, 9140, 610, 10918, 267, 16276, 543, 4859, 666, 2061, 1022, 3444, 12526, 676, 14471, 585, 2653, 11091, 563, 4407, 1210, 1164, 2837, 267, 2327, 602, 1426, 568, 711, 936, 11273, 270, 2692, 6150, 610, 12699, 543, 814, 1175, 2614, 1216, 547, 11677, 922, 5567, 267, 9403, 543, 30993, 269, 901, 5673, 593, 519, 942, 543, 3002, 1373, 1031, 538, 1426, 11091, 607, 1134, 607, 519, 16160, 2360, 540, 3002, 593, 519, 1426, 563, 2690, 1383, 267, 1025, 534, 4221, 540, 14274, 1058, 581, 2944, 676, 1019, 6137, 519, 14274, 538, 14495, 1216, 585, 1079, 547, 1614, 3764, 1354, 519, 2960, 568, 6569, 267, 20762, 543, 14095, 269, 0, 293, 599, 13139, 3278, 5741, 9122, 4804, 1280, 5295, 995, 19019, 454, 1607, 568, 513, 4484, 689, 519, 10361, 540, 3427, 267, 21546, 645, 269, 2480, 990, 4068, 267, 631, 9950, 323, 1421, 2854, 547, 519, 476, 1708, 272, 268, 1708, 273, 3237, 593, 5239, 476, 1691, 267, 476, 1708, 272, 563, 268, 20429, 543, 14893, 454, 268, 7991, 543, 28941, 22580, 454, 268, 5548, 1853, 762, 543, 10748, 1466, 454, 268, 14506, 543, 4813, 894, 10495, 454, 268, 968, 763, 670, 809, 892, 543, 22580, 25291, 9557, 454, 2467, 941, 6402, 547, 2200, 693, 1142, 6728, 1141, 519, 3450, 2319, 8268, 1142, 1565, 10862, 543, 4718, 1806, 540, 873, 538, 2962, 269, 3962, 6728, 729, 2966, 547, 968, 560, 5803, 892, 610, 8300, 2093, 585, 519, 3785, 789, 941, 2324, 593, 543, 8141, 4901, 593, 875, 1142, 3693, 1522, 2408, 538, 741, 1788, 563, 5475, 9683, 1142, 853, 5803, 13749, 267, 2818, 540, 20513, 689, 1142, 3446, 1377, 543, 2027, 338, 8257, 4843, 547, 741, 9164, 269, 1358, 4607, 1483, 6066, 5955, 689, 741, 9164, 593, 8242, 5741, 9122, 4804, 4559, 602, 789, 1544, 547, 14892, 269, 634, 3610, 941, 7722, 267, 9415, 267, 543, 10319, 269, 2368, 540, 519, 6117, 2055, 789, 2919, 585, 2104, 5741, 9122, 4804, 4559, 941, 912, 268, 1548, 3270, 666, 649, 7747, 543, 3589, 1644, 547, 519, 3141, 267, 7599, 267, 543, 6801, 888, 268, 1215, 1281, 1648, 1847, 543, 1860, 938, 1158, 888, 268, 1215, 666, 649, 6707, 24011, 5798, 543, 6318, 32138, 538, 938, 4928, 888, 268, 1215, 616, 22197, 3407, 888, 268, 1215, 666, 649, 1711, 513, 5152, 547, 1764, 938, 674, 599, 7731, 888, 268, 4208, 798, 649, 946, 1114, 2010, 540, 6283, 888, 268, 1215, 666, 649, 3986, 519, 12729, 594, 18147, 547, 581, 811, 7874, 547, 17984, 267, 15743, 13219, 267, 543, 824, 7874, 1814, 1562, 888, 268, 1215, 666, 649, 946, 2295, 2557, 1239, 547, 2087, 8516, 2773, 888, 268, 1548, 1281, 5026, 26206, 1413, 899, 693, 674, 599, 888, 268, 1215, 666, 649, 2417, 1921, 609, 5053, 18702, 2950, 538, 20279, 888, 268, 1215, 1281, 2339, 1847, 1851, 2371, 267, 2831, 267, 10920, 1842, 619, 267, 543, 519, 1604, 888, 268, 1215, 666, 649, 1711, 513, 1434, 610, 3028, 547, 4194, 513, 1966, 888, 268, 1215, 666, 649, 1711, 513, 9754, 1995, 547, 13599, 938, 674, 599, 7731, 593, 519, 21829, 2782, 888, 5978, 20513, 5849, 602, 707, 1453, 786, 4324, 689, 13405, 640, 5565, 540, 938, 7580, 1544, 998, 713, 960, 269, 634, 1445, 540, 13405, 640, 5565, 568, 547, 1020, 543, 1489, 606, 7357, 2875, 19721, 4081, 543, 23913, 1982, 267, 10223, 674, 599, 607, 606, 8537, 1747, 1141, 513, 6891, 540, 7045, 543, 5191, 568, 10114, 3293, 1210, 519, 13964, 585, 2949, 2875, 23918, 563, 7312, 1453, 616, 593, 606, 18965, 543, 8076, 2619, 547, 5718, 269, 1358, 616, 519, 2104, 3401, 602, 786, 1689, 713, 1158, 2336, 300, 6716, 645, 269, 2480, 990, 4068, 267, 631, 9950, 323, 269, 0, 306, 1619, 543, 11576, 566, 281, 634, 9741, 18972, 19992, 898, 454, 4131, 779, 2253, 609, 513, 2370, 4603, 1107, 12740, 707, 1318, 4994, 9416, 543, 1747, 621, 593, 519, 5496, 596, 2461, 2542, 713, 593, 269, 4270, 267, 14322, 596, 1223, 798, 602, 1107, 596, 11214, 7307, 547, 946, 835, 1880, 9416, 267, 1847, 621, 547, 513, 1880, 4087, 543, 2631, 922, 9403, 269, 1284, 1685, 971, 2241, 543, 1360, 1950, 4247, 2429, 519, 1554, 267, 855, 723, 596, 2479, 2219, 827, 875, 707, 2634, 666, 2631, 1018, 851, 540, 596, 568, 11488, 621, 513, 5048, 286, 2107, 875, 621, 666, 4481, 4051, 519, 835, 9416, 547, 1847, 4464, 286, 1215, 1705, 621, 2631, 519, 5496, 888, 24375, 940, 689, 519, 1360, 4098, 540, 3662, 1272, 267, 1256, 18642, 2831, 630, 18474, 795, 749, 625, 267, 606, 655, 2158, 264, 723, 2596, 2679, 7161, 540, 519, 8401, 1062, 1107, 2300, 3386, 2281, 1572, 11409, 269, 634, 1480, 8401, 1062, 1932, 267, 5956, 609, 10444, 11409, 1459, 2429, 938, 4703, 267, 1813, 547, 741, 8701, 2213, 17011, 267, 789, 616, 1360, 2300, 3386, 543, 666, 10141, 17915, 538, 519, 1106, 540, 25372, 269, 1879, 596, 20109, 519, 5496, 267, 513, 8849, 20949, 729, 6383, 543, 10299, 538, 606, 8216, 607, 11409, 1780, 621, 593, 689, 835, 547, 519, 824, 3842, 15118, 2388, 1572, 1107, 5348, 22663, 269, 634, 20949, 568, 10299, 547, 519, 2634, 998, 519, 11983, 10260, 630, 4820, 540, 519, 6239, 32471, 748, 3590, 1070, 543, 519, 2634, 1287, 26779, 519, 1344, 2283, 539, 676, 11409, 538, 707, 4064, 267, 10772, 267, 9416, 267, 543, 1560, 267, 547, 1711, 519, 14815, 602, 596, 1745, 269, 2991, 713, 267, 596, 6430, 547, 1847, 707, 9416, 2476, 267, 513, 5048, 2366, 547, 519, 9416, 3842, 5179, 11409, 269, 4935, 267, 1247, 2864, 936, 13678, 680, 4328, 621, 1107, 513, 8520, 568, 4646, 676, 519, 10444, 543, 5179, 13285, 538, 2831, 563, 4913, 267, 875, 543, 1141, 1281, 519, 2634, 1184, 543, 2746, 547, 782, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 3665, 4411, 602, 16125, 2694, 540, 519, 4541, 1223, 581, 513, 1129, 540, 2916, 1689, 269, 2290, 540, 519, 1292, 3123, 540, 3665, 4411, 568, 519, 2179, 540, 8093, 10173, 649, 3136, 547, 5305, 883, 519, 5790, 267, 19249, 2757, 4365, 3270, 563, 1103, 476, 1001, 279, 267, 585, 1383, 267, 2694, 540, 2342, 4810, 513, 14686, 5162, 602, 8507, 538, 2825, 3441, 267, 1519, 519, 7972, 540, 1082, 1004, 269, 23089, 899, 7147, 538, 519, 2475, 267, 799, 10355, 1995, 14686, 4365, 267, 1631, 723, 3665, 4411, 25135, 267, 799, 568, 513, 1966, 950, 519, 1533, 2760, 5423, 585, 971, 22638, 885, 563, 763, 3047, 779, 2837, 814, 2799, 936, 519, 2063, 8717, 267, 10834, 602, 519, 2916, 568, 4657, 269, 476, 1001, 277, 729, 513, 8978, 1032, 538, 519, 4571, 268, 4263, 23007, 3148, 267, 1141, 513, 14686, 1025, 11170, 731, 29805, 16176, 345, 8759, 2366, 6777, 909, 547, 1614, 3952, 2066, 1715, 3840, 267, 6115, 267, 12425, 543, 22768, 563, 32546, 723, 10567, 602, 519, 1025, 11170, 1841, 786, 1831, 811, 4049, 1813, 547, 2916, 1689, 267, 607, 2518, 8337, 3123, 3875, 18063, 538, 519, 2916, 269, 4340, 547, 3744, 267, 835, 540, 519, 2360, 540, 2916, 1689, 568, 519, 954, 8306, 540, 519, 8701, 642, 29448, 602, 3123, 513, 21617, 5162, 563, 302, 10895, 10110, 827, 476, 3445, 260, 540, 519, 3606, 3002, 3812, 676, 1480, 5222, 269, 1809, 607, 519, 3047, 2112, 916, 267, 519, 1216, 21040, 547, 1491, 909, 811, 2230, 267, 3056, 547, 8375, 4262, 2157, 269, 901, 568, 1813, 547, 13621, 22260, 543, 4672, 9212, 267, 4929, 2799, 6777, 6420, 538, 2127, 971, 607, 27584, 4997, 563, 310, 26262, 1223, 1831, 10156, 855, 811, 4049, 952, 649, 1810, 1406, 2569, 5434, 5612, 269, 2290, 1353, 2982, 602, 3905, 4365, 666, 2014, 519, 5790, 547, 11677, 811, 1216, 267, 799, 666, 1291, 547, 13247, 543, 2799, 6777, 6420, 950, 5210, 6749, 563, 1692, 513, 4657, 2916, 5540, 721, 454, 763, 2164, 540, 2916, 1689, 616, 2907, 10423, 269, 4658, 782, 936, 519, 1158, 616, 4299, 676, 519, 1966, 540, 8375, 4262, 2157, 269, 27819, 476, 272, 269, 276, 5479, 1004, 616, 693, 1981, 540, 14700, 952, 4262, 2157, 3136, 547, 4473, 267, 543, 713, 568, 1034, 5906, 585, 2950, 2713, 1447, 982, 476, 1911, 12919, 689, 519, 5032, 563, 763, 4262, 25309, 1034, 540, 519, 3002, 689, 1480, 2238, 543, 2916, 1689, 269, 901, 27938, 2950, 14191, 547, 519, 4262, 1813, 547, 13621, 4672, 9212, 543, 8375, 4262, 2157, 267, 799, 666, 1291, 547, 14700, 269, 634, 4262, 568, 849, 4742, 811, 15755, 1813, 547, 8375, 3327, 8166, 267, 1439, 836, 1359, 7286, 1272, 563, 2467, 616, 824, 2081, 538, 799, 513, 4657, 2916, 786, 5051, 20739, 752, 688, 22106, 563, 763, 7928, 2837, 23638, 602, 3142, 811, 13247, 786, 9594, 4049, 15420, 602, 666, 6861, 5321, 543, 4734, 1004, 15602, 269, 3245, 476, 3192, 271, 547, 476, 1001, 280, 267, 4049, 15420, 20039, 585, 476, 3393, 260, 540, 782, 4080, 7972, 269, 1677, 2061, 4764, 689, 14124, 5656, 267, 11895, 1216, 1949, 666, 581, 8704, 547, 8850, 4894, 1216, 602, 1223, 12900, 513, 2497, 563, 20458, 1689, 568, 849, 7303, 513, 4264, 1604, 1813, 547, 922, 2360, 593, 519, 3618, 269, 634, 3668, 540, 1216, 538, 930, 2127, 11151, 519, 2208, 540, 7031, 543, 3123, 14000, 543, 267, 18867, 267, 1082, 7972, 269, 1635, 476, 13078, 271, 267, 827, 1614, 6709, 11467, 540, 519, 1158, 779, 2551, 786, 581, 4299, 676, 10980, 563, 15761, 3153, 3002, 568, 1776, 1981, 3815, 269, 14333, 6329, 666, 2014, 23967, 602, 666, 581, 2352, 547, 2322, 856, 1317, 789, 3262, 865, 3533, 543, 796, 19055, 2406, 563, 4263, 519, 1482, 942, 267, 2916, 1689, 568, 3056, 547, 2249, 14486, 269, 14451, 5210, 267, 7928, 23967, 543, 824, 4365, 10898, 21279, 1082, 2249, 602, 616, 2907, 7092, 689, 7226, 2530, 267, 5533, 543, 824, 17613, 563, 4913, 267, 649, 666, 4383, 519, 2360, 540, 2916, 1689, 593, 938, 2729, 543, 519, 1604, 269, 1452, 3435, 1331, 4365, 15033, 5656, 267, 4365, 1981, 6142, 543, 4264, 2713, 269, 5272, 2370, 17408, 752, 267, 899, 9657, 17885, 5265, 267, 15175, 547, 7791, 1648, 267, 543, 9544, 4054, 607, 3327, 29826, 267, 666, 979, 513, 1279, 1259, 4724, 19086, 2916, 1689, 269, 0, 18404, 18982, 4680, 281, 634, 18868, 2986, 5295, 454, 12041, 29191, 573, 5206, 5450, 18982, 4680, 1247, 538, 24815, 269, 5450, 18982, 4680, 568, 513, 4015, 540, 20538, 2984, 16432, 1927, 883, 513, 2239, 540, 19939, 2835, 269, 5450, 18982, 4680, 1797, 547, 2981, 269, 10801, 5450, 18982, 4680, 519, 2140, 2501, 547, 1272, 18995, 875, 1079, 1114, 2249, 267, 1480, 543, 29331, 267, 2170, 609, 835, 1776, 543, 875, 1950, 621, 729, 585, 519, 7060, 540, 29331, 543, 519, 5837, 1062, 540, 3425, 547, 2661, 538, 513, 6073, 602, 723, 2760, 1044, 2938, 1354, 269, 769, 891, 2984, 6013, 267, 12879, 267, 25796, 1145, 267, 543, 519, 19818, 585, 1379, 602, 2982, 1079, 12799, 1114, 6384, 4339, 585, 30398, 269, 15901, 730, 569, 267, 29191, 573, 2982, 875, 519, 29331, 270, 18661, 12549, 616, 3929, 543, 789, 2746, 1759, 593, 875, 789, 1745, 10353, 547, 1018, 568, 1318, 269, 1306, 513, 1267, 540, 1373, 538, 606, 3929, 1533, 267, 519, 10143, 4043, 547, 6057, 741, 1379, 1996, 3425, 563, 2690, 1383, 267, 538, 519, 1650, 540, 21011, 543, 667, 7469, 928, 267, 6057, 540, 1379, 568, 7152, 676, 19067, 573, 267, 519, 2696, 540, 7287, 267, 3430, 3555, 267, 543, 15754, 269, 21011, 6354, 12885, 19067, 573, 4929, 19067, 573, 547, 1397, 875, 3532, 646, 2731, 568, 269, 1677, 7682, 1010, 1379, 267, 19067, 573, 22534, 21011, 609, 606, 15561, 547, 1118, 1864, 2887, 538, 2648, 609, 667, 7469, 928, 543, 667, 7469, 928, 729, 8929, 609, 606, 15561, 547, 7947, 21011, 779, 2648, 269, 2677, 704, 622, 585, 948, 267, 9917, 12134, 1200, 4651, 968, 20055, 803, 267, 15210, 4651, 256, 1403, 707, 7297, 3180, 2820, 6541, 267, 10520, 845, 803, 543, 6861, 602, 5898, 676, 799, 594, 723, 1932, 1134, 20938, 1848, 1677, 1205, 7759, 540, 1200, 5898, 543, 1352, 729, 5828, 883, 513, 3529, 269, 4634, 1310, 4742, 513, 3529, 267, 21011, 1869, 14560, 667, 7469, 928, 269, 5221, 19067, 573, 26884, 1010, 1379, 547, 6961, 513, 1448, 267, 621, 3366, 547, 606, 19888, 1600, 10678, 585, 667, 7469, 928, 563, 1103, 519, 1650, 540, 808, 913, 543, 594, 334, 267, 519, 2696, 808, 913, 543, 1010, 7385, 9947, 334, 2746, 539, 1055, 741, 3510, 543, 4664, 543, 28407, 741, 1379, 269, 808, 913, 6238, 547, 561, 755, 1310, 594, 334, 269, 1261, 1256, 6770, 909, 519, 1448, 602, 646, 779, 513, 3532, 2696, 6031, 267, 968, 296, 993, 646, 945, 12217, 519, 18477, 521, 576, 335, 614, 538, 1010, 1688, 267, 594, 993, 646, 945, 9292, 3149, 519, 887, 5446, 19711, 2513, 339, 1810, 1406, 2196, 689, 803, 256, 6100, 901, 28420, 1864, 607, 818, 5766, 656, 543, 13886, 269, 4934, 540, 7279, 267, 9947, 334, 2501, 1524, 547, 3618, 547, 1294, 1018, 779, 2469, 593, 269, 1677, 12404, 1010, 2648, 26035, 267, 594, 334, 568, 23009, 2216, 883, 513, 10800, 269, 9947, 334, 779, 27421, 543, 30983, 3123, 1200, 547, 18035, 594, 334, 543, 1521, 1200, 21354, 563, 1103, 519, 1650, 540, 19026, 543, 1520, 517, 529, 267, 519, 6057, 540, 1379, 568, 17814, 950, 19026, 267, 519, 31001, 540, 11146, 267, 2242, 513, 22686, 2078, 883, 513, 11509, 835, 1813, 547, 1200, 19838, 582, 6750, 2081, 269, 3733, 31014, 3873, 267, 513, 1379, 1652, 1480, 3587, 513, 6408, 547, 19026, 950, 1352, 16976, 547, 19439, 3733, 31014, 3873, 676, 2220, 11691, 1200, 883, 2348, 796, 11499, 11509, 13821, 585, 1200, 4651, 1317, 540, 1200, 771, 10964, 3971, 540, 519, 1523, 540, 2648, 269, 3683, 519, 1576, 540, 741, 2078, 267, 3733, 31014, 3873, 3587, 9176, 269, 2991, 19067, 573, 18417, 533, 9581, 19026, 609, 1010, 21985, 267, 1352, 8813, 538, 2648, 609, 1520, 517, 529, 945, 568, 513, 1267, 540, 1200, 6057, 540, 1379, 269, 634, 1379, 540, 29331, 1223, 711, 581, 6417, 998, 3425, 267, 855, 1272, 814, 513, 1259, 540, 3478, 1256, 269, 19026, 19380, 1520, 517, 529, 538, 519, 1482, 6073, 602, 1352, 2729, 676, 282, 2648, 269, 19026, 5309, 8460, 3733, 337, 19207, 585, 711, 18468, 538, 2648, 543, 1373, 538, 2648, 568, 519, 10751, 585, 19026, 269, 5221, 540, 19026, 10845, 2509, 3733, 31014, 3873, 267, 1312, 540, 741, 2729, 941, 11014, 4957, 1317, 540, 519, 6057, 540, 1200, 1378, 1379, 563, 1103, 1142, 540, 519, 2984, 267, 519, 29331, 26884, 741, 1379, 4929, 17608, 3425, 547, 7985, 543, 10929, 513, 7004, 269, 901, 18327, 602, 519, 4336, 540, 1379, 5288, 519, 10002, 1077, 995, 568, 23366, 796, 29446, 609, 2370, 547, 1100, 4539, 610, 5126, 1373, 6039, 547, 1346, 31345, 676, 1346, 945, 3112, 2149, 2933, 269, 5295, 609, 1100, 3652, 610, 4539, 20555, 519, 24178, 540, 519, 29331, 1317, 540, 741, 1799, 528, 1275, 865, 789, 723, 1100, 2463, 585, 519, 2729, 540, 824, 7919, 563, 2414, 23703, 513, 631, 20689, 267, 676, 715, 16279, 22489, 10557, 267, 729, 2854, 538, 476, 3422, 271, 269, 4438, 519, 476, 3422, 271, 779, 1390, 5322, 2509, 7862, 543, 5610, 941, 2921, 1747, 267, 972, 729, 1390, 1514, 21440, 2509, 20965, 763, 8695, 538, 7083, 2986, 634, 4469, 625, 3668, 10340, 7494, 267, 607, 789, 1810, 1406, 723, 519, 2596, 2115, 585, 2713, 267, 543, 723, 4057, 7881, 269, 1548, 568, 2877, 585, 10340, 568, 1082, 20965, 6624, 540, 519, 9956, 779, 4249, 4125, 519, 6249, 540, 8956, 269, 17283, 568, 1100, 9868, 269, 769, 713, 1404, 267, 17283, 267, 5487, 1068, 525, 267, 543, 10783, 514, 30944, 616, 1641, 547, 519, 17185, 540, 26621, 519, 2669, 20965, 26239, 18462, 5590, 538, 13777, 22618, 3624, 267, 519, 1650, 540, 29883, 623, 532, 2725, 328, 568, 9862, 547, 1491, 883, 7156, 1007, 1514, 7835, 1369, 519, 2197, 269, 634, 835, 1126, 3609, 814, 1044, 27618, 20965, 7628, 519, 942, 1141, 670, 539, 6767, 18637, 2401, 729, 2854, 267, 799, 729, 538, 519, 476, 866, 628, 2540, 267, 2021, 1705, 711, 723, 519, 1482, 3160, 2924, 607, 2367, 269, 6468, 941, 711, 2111, 547, 960, 267, 20965, 763, 991, 547, 9101, 689, 989, 2787, 883, 22471, 1006, 568, 1419, 8179, 1310, 1797, 547, 2165, 3729, 7092, 269, 634, 2165, 968, 525, 3874, 5608, 6508, 689, 519, 3943, 968, 525, 577, 1653, 2223, 568, 3989, 676, 519, 10228, 2296, 20965, 1103, 782, 2947, 540, 5261, 29965, 521, 9954, 972, 568, 513, 2312, 4276, 1063, 519, 21286, 5396, 543, 519, 4514, 18408, 789, 2769, 269, 634, 26286, 543, 634, 30340, 616, 2965, 20965, 308, 6921, 625, 676, 8845, 654, 6856, 26709, 24864, 519, 5304, 883, 513, 29711, 1014, 1158, 1141, 5898, 543, 29077, 616, 3144, 547, 519, 9402, 4742, 519, 2343, 269, 901, 3209, 20186, 513, 2486, 1896, 4627, 20965, 20082, 22994, 344, 16299, 568, 519, 6574, 3209, 538, 1977, 3332, 799, 1169, 1367, 4667, 547, 5431, 538, 519, 476, 736, 628, 2540, 269, 634, 1034, 10058, 4183, 540, 519, 3209, 568, 519, 3099, 20965, 12041, 29191, 573, 5206, 5450, 18982, 4680, 1247, 538, 24815, 269, 5450, 18982, 4680, 568, 513, 4015, 540, 20538, 2984, 16432, 1927, 883, 513, 2239, 540, 19939, 2835, 269, 5450, 18982, 4680, 1797, 547, 2981, 269, 10801, 5450, 18982, 4680, 519, 2140, 31218, 0, 27288, 18394, 543, 8693, 7827, 281, 1548, 666, 581, 2944, 1310, 519, 3595, 888, 11754, 7675, 2916, 1689, 3340, 8362, 5883, 7733, 547, 2226, 519, 2635, 267, 3395, 4054, 2877, 547, 4894, 1713, 5666, 540, 3327, 8166, 689, 519, 5790, 269, 13245, 5983, 7370, 1923, 13245, 20288, 7370, 3820, 1923, 5412, 476, 278, 628, 267, 476, 1708, 272, 898, 568, 6059, 519, 3328, 3529, 3217, 538, 476, 272, 269, 276, 6550, 540, 3327, 8166, 543, 3947, 1055, 10199, 513, 11013, 540, 5135, 585, 1169, 11013, 540, 20965, 10870, 7774, 568, 1898, 547, 6023, 519, 30481, 1966, 267, 8470, 3081, 454, 2108, 2691, 621, 2501, 547, 30481, 267, 6302, 1810, 1406, 1611, 1454, 267, 543, 972, 2731, 2115, 547, 581, 2673, 9316, 1851, 4357, 2244, 14935, 267, 17174, 6608, 267, 1533, 2244, 5411, 543, 519, 5313, 2229, 2223, 6424, 15917, 525, 1635, 27050, 14480, 1146, 15618, 281, 13723, 267, 5239, 476, 2767, 267, 476, 1708, 272, 1923, 18651 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 628, 1196, 12175, 5507, 281, 28199, 269, 476, 1960, 271, 269, 533, 269, 476, 2735, 269, 9768, 476, 7818, 268, 271, 268, 278, 1724, 272, 268, 3393, 280, 272, 268, 276, 563, 24314, 2707, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 21589, 2435, 8778, 3968, 269, 3367, 811, 0, 10303, 621, 568, 1759, 593, 1769, 1656, 1352, 14753, 7969, 267, 519, 2029, 1352, 14767, 5269, 12616, 4296, 589, 4627, 2053, 5488, 543, 811, 3608, 5976, 2029, 20014, 898, 666, 581, 3379, 547, 1018, 5949, 538, 10814, 4296, 609, 519, 12625, 540, 9804, 11103, 269, 1677, 1930, 713, 1007, 20281, 540, 2029, 568, 13863, 898, 729, 4535, 689, 1382, 3366, 676, 30912, 12443, 23855, 545, 543, 5342, 538, 5698, 609, 2480, 340, 7637, 8111, 328, 648, 16114, 685, 2304, 3534, 540, 623, 13453, 267, 2160, 540, 4993, 693, 18628, 543, 519, 2160, 540, 29161, 538, 6628, 267, 607, 851, 540, 519, 3864, 8111, 335, 31242, 1788, 269, 4330, 769, 519, 20128, 2775, 281, 4750, 540, 3163, 543, 10241, 267, 519, 13472, 2636, 596, 547, 5094, 12345, 4634, 952, 789, 616, 2706, 574, 12723, 593, 1142, 824, 543, 952, 519, 1106, 538, 799, 789, 8452, 693, 741, 10278, 814, 4957, 543, 568, 7164, 563, 16435, 728, 538, 24485, 976, 1125, 476, 276, 544, 5443, 1963, 547, 4309, 575, 2000, 697, 20832, 14384, 12552, 547, 519, 1082, 18784, 9804, 32110, 543, 6354, 12885, 873, 267, 9753, 873, 267, 7064, 547, 513, 3060, 540, 16937, 3710, 2987, 269, 1635, 14874, 519, 13779, 1063, 1769, 12345, 538, 713, 1259, 267, 519, 13863, 2636, 585, 2359, 513, 10829, 640, 519, 1344, 2311, 2547, 513, 4627, 2053, 3152, 982, 547, 4540, 1164, 32728, 13369, 12616, 1949, 267, 799, 616, 1657, 476, 4335, 271, 717, 13703, 563, 763, 25792, 3156, 1656, 16699, 9253, 18223, 267, 8689, 540, 2717, 604, 629, 267, 519, 4741, 585, 5843, 543, 5843, 974, 9592, 693, 2717, 924, 322, 333, 4815, 1019, 6660, 8457, 267, 3081, 621, 2882, 968, 14683, 268, 3147, 5596, 17568, 543, 17568, 1949, 585, 1582, 28391, 6472, 267, 8596, 543, 6552, 1843, 6284, 267, 5985, 3457, 543, 5957, 1963, 585, 21284, 4641, 543, 7634, 4066, 1848, 1715, 4437, 32441, 10241, 9731, 12552, 547, 519, 9316, 602, 3366, 547, 713, 1267, 267, 7977, 568, 2005, 26515, 769, 519, 2990, 15557, 6168, 2584, 4577, 4066, 585, 10618, 267, 8596, 267, 543, 8790, 14037, 710, 2223, 4967, 4460, 29813, 22641, 267, 7548, 540, 11418, 693, 519, 1855, 651, 701, 4659, 630, 31636, 267, 8950, 7177, 267, 543, 7353, 9582, 264, 693, 2480, 340, 7637, 8111, 328, 648, 16114, 685, 2304, 3534, 563, 11847, 3174, 568, 11603, 9736, 14645, 4888, 6347, 454, 2108, 4462, 762, 547, 1826, 609, 4216, 532, 17309, 593, 269, 6154, 601, 766, 28013, 269, 2997, 573, 25566, 269, 674, 7037, 8373, 20447, 269, 32365, 22938, 773, 3034, 1805, 9792, 24606, 689, 9370, 547, 3047, 281, 32017, 3767, 454, 8967, 600, 7125, 267, 596, 666, 3625, 873, 11014, 1107, 713, 568, 519, 1152, 1259, 454, 307, 525, 5055, 568, 4712, 547, 4283, 938, 1753, 281, 1100, 835, 16545, 971, 513, 12050, 1847, 1923, 589, 1062, 602, 17990, 5215, 540, 20789, 338, 12422, 0, 8005, 621, 781, 585, 454, 2690, 1326, 519, 3165, 610, 1256, 519, 10068, 11425, 269, 1284, 4001, 596, 547, 1628, 707, 1378, 11425, 563, 5978, 1982, 568, 1759, 593, 4909, 2081, 519, 1480, 2634, 1568, 269, 1284, 1287, 4001, 596, 875, 547, 20688, 707, 1062, 547, 707, 2189, 2634, 543, 2189, 2115, 269, 29179, 596, 519, 2645, 547, 1491, 1852, 568, 1018, 1582, 15696, 4327, 1565, 568, 782, 827, 563, 12812, 519, 29601, 2630, 547, 1451, 811, 827, 875, 938, 3292, 960, 585, 1142, 1888, 563, 5978, 1982, 568, 4998, 585, 1053, 2324, 998, 11295, 19593, 592, 4548, 269, 634, 5934, 2085, 649, 4363, 568, 476, 1724, 1296, 2025, 269, 1703, 568, 1100, 5021, 2085, 563, 18814, 547, 519, 2470, 540, 1582, 15696, 4327, 2362, 19195, 1565, 630, 712, 4295, 6240, 1070, 9283, 616, 2141, 3448, 547, 707, 1699, 1377, 269, 6787, 596, 2811, 513, 12854, 11134, 610, 538, 21738, 1164, 1153, 267, 596, 3513, 1451, 875, 596, 666, 1491, 707, 1699, 1983, 543, 22010, 873, 563, 13914, 540, 621, 899, 3478, 513, 4786, 547, 3035, 707, 1655, 2009, 2773, 269, 3143, 2339, 1141, 596, 616, 593, 519, 3460, 267, 596, 3513, 581, 2111, 547, 1294, 707, 1985, 3268, 563, 11947, 268, 778, 773, 1324, 6267, 666, 2503, 547, 2087, 4398, 543, 11007, 1247, 4227, 519, 4674, 267, 942, 267, 610, 2566, 2877, 547, 3914, 519, 1482, 1390, 2164, 630, 528, 1256, 1732, 1916, 7075, 2996, 945, 616, 10010, 666, 2503, 547, 14377, 942, 543, 4674, 883, 2164, 811, 3589, 2406, 543, 9846, 269, 2201, 1283, 540, 2810, 707, 2164, 543, 2773, 267, 596, 666, 2503, 9283, 538, 6015, 267, 18399, 267, 543, 8897, 540, 1565, 563, 2171, 723, 5215, 540, 4648, 1210, 938, 1982, 547, 909, 12921, 650, 267, 973, 1068, 1518, 267, 4876, 6467, 267, 610, 3274, 1832, 909, 609, 513, 3384, 2872, 269, 3776, 1982, 568, 1655, 14018, 585, 3318, 6267, 538, 11295, 1565, 8658, 609, 519, 4316, 547, 834, 13231, 344, 2668, 6201, 1331, 1565, 538, 519, 4259, 540, 912, 268, 20043, 543, 2866, 454, 268, 2271, 2400, 1565, 538, 1007, 11890, 689, 7044, 267, 2835, 267, 543, 824, 10053, 2200, 454, 5978, 14232, 3318, 1565, 1982, 786, 581, 811, 3358, 585, 834, 517, 7308, 18191, 984, 257, 1565, 2115, 538, 13417, 19099, 1565, 5054, 267, 971, 607, 538, 11401, 267, 1788, 5618, 338, 267, 610, 3871, 1141, 6131, 834, 13231, 3539, 257, 568, 711, 2009, 563, 2171, 723, 5215, 540, 6267, 1210, 938, 2409, 585, 1082, 10459, 269, 9521, 1034, 4485, 547, 1565, 267, 649, 4001, 4483, 571, 1076, 5042, 1983, 547, 948, 596, 1184, 1022, 1007, 1344, 538, 513, 1259, 602, 568, 5688, 2213, 585, 1732, 3965, 267, 3178, 540, 1620, 267, 543, 13857, 3498, 543, 23023, 269, 3776, 2553, 616, 1808, 267, 3810, 1790, 24411, 267, 543, 3362, 22537, 563, 11997, 267, 938, 1062, 568, 23679, 14018, 585, 8658, 609, 513, 1804, 2179, 540, 3616, 541, 894, 1702, 630, 30440, 543, 2035, 1040, 6201, 540, 5396, 609, 5140, 3514, 1331, 912, 268, 2353, 9443, 454, 268, 6925, 630, 18034, 17550, 267, 21454, 267, 543, 1565, 538, 4791, 5468, 994, 268, 11933, 3749, 6128, 454, 268, 8535, 3069, 454, 268, 4521, 543, 3656, 2090, 454, 763, 1739, 5396, 543, 10459, 616, 513, 1434, 3514, 269, 1411, 666, 2503, 513, 18476, 4324, 269, 1717, 267, 930, 2553, 649, 4001, 949, 581, 11991, 269, 7799, 14591, 616, 7150, 1985, 547, 1142, 1641, 538, 23049, 269, 6201, 540, 5396, 609, 1434, 3514, 1331, 912, 268, 22845, 543, 8762, 5735, 630, 320, 1906, 17683, 2553, 616, 3908, 1813, 547, 513, 1164, 10421, 585, 887, 974, 8357, 5314, 994, 268, 14579, 4654, 630, 320, 1906, 17683, 2553, 616, 3908, 1813, 547, 513, 1164, 10421, 585, 887, 974, 8357, 5314, 994, 268, 2296, 3332, 630, 23855, 2294, 593, 1557, 1603, 616, 711, 14916, 4988, 994, 268, 32017, 543, 3301, 1646, 630, 16341, 2553, 616, 11991, 610, 936, 26973, 543, 666, 581, 16934, 689, 519, 3803, 1062, 994, 268, 11930, 6128, 630, 16341, 2553, 616, 11991, 610, 936, 26973, 543, 666, 581, 16934, 689, 519, 3803, 1062, 994, 763, 1739, 5396, 543, 10459, 616, 4057, 3514, 269, 3776, 2409, 616, 2901, 6140, 11991, 610, 3810, 3908, 538, 4324, 607, 789, 723, 1970, 4170, 585, 3616, 541, 894, 1702, 269, 1284, 798, 711, 4363, 1210, 938, 2409, 585, 519, 1739, 5396, 912, 268, 11846, 630, 2254, 1519, 5026, 2257, 994, 268, 8535, 543, 7544, 2773, 454, 268, 570, 10232, 971, 607, 15790, 18782, 267, 21818, 267, 3092, 269, 630, 2254, 1519, 1702, 2861, 13995, 11400, 994, 268, 11916, 27564, 1983, 630, 10175, 10551, 1983, 994, 268, 20963, 6575, 630, 2254, 1519, 1148, 1686, 610, 1148, 3069, 994, 268, 27400, 6575, 630, 324, 3052, 269, 9117, 543, 16222, 994, 2005, 568, 2352, 547, 6085, 593, 519, 29839, 540, 1169, 2009, 6437, 607, 621, 5673, 593, 519, 2470, 540, 519, 1641, 543, 519, 4879, 2511, 563, 23744, 267, 938, 2409, 616, 5078, 585, 782, 13416, 543, 1455, 2409, 540, 3450, 543, 4879, 1031, 538, 6281, 543, 24596, 2069, 269, 12333, 18362, 602, 616, 2147, 616, 849, 5078, 563, 2690, 4704, 267, 649, 723, 5215, 540, 6267, 1210, 938, 2409, 6707, 2066, 519, 1739, 19593, 592, 4548, 543, 18362, 912, 268, 2353, 8241, 6281, 1153, 19593, 592, 4548, 630, 9391, 290, 267, 654, 19781, 267, 590, 19781, 267, 966, 4753, 267, 1627, 4753, 994, 268, 2475, 300, 4041, 630, 718, 3268, 994, 268, 15873, 1229, 2272, 3599, 18362, 454, 268, 15873, 1229, 2883, 25566, 18362, 454, 268, 6481, 20614, 2866, 1982, 18362, 454, 4407, 938, 1576, 568, 711, 4628, 5688, 2213, 693, 713, 942, 585, 5778, 323, 5744, 2043, 267, 1082, 540, 938, 5778, 323, 5744, 1053, 723, 1336, 1967, 676, 1210, 519, 1576, 543, 1739, 3606, 4808, 3769, 538, 519, 1982, 563, 32359, 267, 11838, 267, 21619, 21685, 543, 4393, 7965, 454, 5978, 2409, 616, 1759, 593, 4295, 1565, 3157, 540, 519, 1480, 2634, 799, 798, 711, 3100, 547, 581, 607, 8789, 569, 4299, 676, 1455, 1565, 9124, 971, 607, 20284, 267, 11838, 543, 27577, 269, 901, 568, 7429, 1034, 6671, 1565, 2553, 267, 799, 8185, 7048, 593, 3157, 602, 1346, 609, 11838, 267, 20284, 543, 27577, 616, 1034, 12936, 676, 563, 2171, 723, 4767, 602, 2953, 3351, 5314, 540, 519, 2553, 2337, 547, 7668, 6267, 547, 6922, 1047, 519, 1764, 540, 1565, 7687, 602, 616, 15054, 676, 5778, 323, 5744, 2175, 1247, 4628, 3351, 2358, 519, 9342, 602, 5778, 323, 5744, 2043, 723, 269, 1452, 9342, 616, 12926, 896, 583, 559, 2213, 538, 6671, 2069, 1949, 563, 2690, 5778, 323, 5744, 2043, 6236, 938, 1982, 267, 5225, 1224, 938, 2376, 1934, 547, 948, 3391, 707, 3375, 269, 1403, 707, 2243, 568, 711, 12943, 267, 5225, 3346, 938, 1489, 2319, 563, 18794, 936, 476, 1015, 267, 1822, 6267, 689, 476, 6344, 2477, 267, 585, 1447, 982, 1269, 273, 513, 1554, 2336, 303, 4631, 616, 538, 8241, 9489, 630, 288, 11070, 1040, 1411, 666, 849, 2628, 538, 20430, 267, 717, 21990, 610, 16402, 693, 2638, 719, 563, 2252, 596, 616, 538, 2883, 27465, 267, 5225, 2070, 938, 25689, 563, 275, 3923, 679, 1503, 618, 454, 7197, 5078, 585, 21295, 6267, 16462, 547, 1491, 741, 1983, 547, 519, 1985, 1377, 563, 272, 1032, 679, 1503, 618, 454, 7197, 5078, 585, 6267, 945, 616, 3168, 585, 2101, 18175, 10232, 547, 741, 1565, 1062, 269, 0, 21413, 713, 4730, 609, 14810, 267, 1100, 3860, 960, 814, 2479, 2943, 2097, 547, 4332, 269, 634, 7963, 649, 28297, 547, 519, 1404, 540, 519, 9345, 568, 1651, 531, 1529, 762, 269, 910, 10111, 331, 28044, 454, 25440, 568, 606, 1898, 851, 540, 7216, 19974, 4065, 269, 898, 22262, 5042, 267, 5179, 267, 543, 1514, 1983, 269, 5753, 616, 22488, 676, 2470, 543, 2170, 609, 741, 1604, 998, 1404, 269, 898, 6971, 2566, 543, 8992, 1134, 5630, 269, 4634, 1631, 267, 538, 713, 942, 540, 1164, 6788, 543, 3872, 22759, 267, 649, 1869, 1404, 269, 3776, 1362, 814, 1565, 7740, 585, 7924, 267, 2979, 267, 2257, 267, 1148, 267, 7161, 267, 2542, 267, 6181, 657, 267, 2777, 15209, 543, 19503, 6758, 269, 634, 1453, 6108, 942, 538, 1142, 540, 519, 7740, 1169, 1554, 269, 634, 2497, 540, 938, 1554, 561, 1742, 3294, 547, 5876, 543, 1582, 30928, 1565, 282, 2943, 267, 621, 568, 1869, 11295, 543, 519, 1565, 1604, 568, 5402, 9709, 269, 1403, 596, 2307, 519, 1453, 1018, 789, 1705, 782, 1554, 267, 789, 786, 2161, 267, 968, 296, 5129, 3034, 1103, 519, 544, 1941, 902, 267, 649, 723, 7335, 22544, 267, 11461, 2542, 543, 7924, 4099, 32186, 269, 2991, 12899, 543, 12424, 267, 649, 723, 513, 2898, 1895, 942, 1141, 649, 723, 938, 3838, 2542, 267, 938, 1224, 16965, 543, 938, 2262, 22086, 269, 1284, 849, 723, 4901, 593, 8726, 21044, 1770, 649, 616, 593, 1354, 2469, 883, 5675, 22544, 543, 811, 4099, 32186, 269, 10801, 519, 1554, 267, 1053, 616, 15914, 538, 543, 856, 540, 1507, 1895, 6044, 543, 4099, 942, 269, 634, 19503, 6758, 4196, 607, 513, 1907, 538, 938, 4928, 547, 7520, 15285, 540, 6044, 269, 4634, 607, 26436, 13191, 543, 667, 2632, 599, 5129, 538, 519, 2777, 15209, 4099, 630, 5408, 4605, 1657, 1070, 789, 4956, 789, 2877, 547, 1118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9202, 267, 649, 1265, 519, 1448, 609, 519, 5021, 3845, 689, 519, 1899, 8220, 519, 1101, 543, 2063, 2798, 269, 901, 568, 2944, 1210, 519, 3444, 1587, 543, 519, 12297, 1587, 540, 10321, 269, 634, 3444, 1587, 540, 1079, 10321, 568, 513, 6152, 602, 568, 13902, 547, 1312, 10321, 267, 543, 922, 9588, 568, 3160, 547, 519, 1858, 540, 519, 25521, 4646, 676, 519, 1079, 10321, 269, 634, 12297, 1587, 540, 1079, 10321, 568, 513, 22185, 602, 568, 3160, 547, 519, 1587, 540, 519, 3172, 6421, 540, 519, 1079, 10321, 543, 519, 25482, 540, 519, 5086, 1063, 873, 269, 634, 3845, 540, 513, 1448, 689, 513, 1899, 568, 2016, 676, 519, 4542, 912, 16465, 323, 815, 1422, 2765, 346, 347, 1314, 318, 271, 1341, 676, 318, 271, 1341, 524, 347, 7346, 6912, 21151, 317, 273, 1341, 536, 317, 273, 3686, 454, 16465, 3602, 18159, 320, 267, 536, 7751, 568, 519, 4287, 6152, 540, 519, 1899, 267, 18159, 343, 18386, 271, 267, 586, 18386, 271, 7751, 568, 519, 1448, 267, 543, 1269, 322, 259, 568, 519, 3586, 2165, 538, 519, 3830, 540, 519, 1899, 269, 769, 938, 2013, 267, 649, 666, 946, 519, 3444, 1587, 543, 519, 12297, 1587, 547, 14458, 713, 4542, 269, 634, 3444, 1587, 540, 519, 10321, 18159, 11907, 18386, 637, 5157, 316, 910, 1239, 18386, 637, 314, 271, 316, 7751, 543, 18159, 11907, 18386, 637, 15631, 272, 316, 910, 1239, 18386, 637, 314, 271, 316, 7751, 3947, 721, 513, 6152, 602, 568, 13902, 547, 519, 1899, 8220, 519, 1101, 543, 2063, 2798, 267, 543, 922, 9588, 568, 3160, 547, 519, 1858, 540, 519, 25521, 4646, 676, 519, 1079, 10321, 269, 634, 12297, 1587, 540, 713, 6152, 543, 519, 6152, 18159, 11907, 18386, 637, 15631, 272, 316, 910, 1239, 18386, 637, 314, 271, 316, 7751, 3947, 721, 519, 3845, 540, 519, 1448, 689, 519, 1899, 269, 1284, 1491, 519, 6207, 1871, 540, 713, 3845, 267, 607, 649, 616, 1152, 5461, 538, 519, 9588, 540, 519, 3845, 780, 5629, 649, 723, 1336, 519, 1448, 609, 519, 5021, 3845, 267, 649, 2638, 952, 713, 3845, 568, 1447, 982, 519, 12939, 1871, 2387, 296, 18269, 1403, 621, 568, 267, 649, 2132, 519, 3312, 2798, 267, 607, 972, 568, 1100, 991, 547, 14458, 519, 7455, 2417, 780, 2252, 519, 5021, 3845, 568, 3152, 982, 519, 12939, 267, 649, 16571, 1947, 14458, 519, 2798, 593, 2901, 2427, 540, 519, 1448, 609, 519, 5021, 3845, 269, 1284, 798, 713, 676, 10912, 519, 2387, 323, 537, 6921, 553, 318, 701, 27462, 319, 1599, 593, 519, 2798, 1354, 543, 1310, 519, 1448, 609, 519, 5021, 3845, 267, 543, 6677, 22760, 908, 519, 2164, 269, 1284, 849, 4894, 519, 1101, 543, 2063, 2798, 540, 519, 4611, 5044, 267, 607, 789, 616, 519, 1439, 9557, 540, 519, 7455, 543, 798, 711, 991, 547, 581, 16866, 2417, 780, 7661, 267, 649, 2132, 519, 16866, 2798, 780, 1012, 7151, 692, 4131, 781, 1294, 606, 1383, 540, 875, 547, 946, 519, 2387, 323, 537, 6921, 553, 318, 701, 27462, 319, 1599, 780, 22428, 649, 723, 519, 1739, 3126, 540, 2798, 912, 3499, 322, 1087, 454, 11907, 318, 637, 815, 5286, 15126, 31912, 272, 267, 476, 272, 3910, 1496, 273, 267, 476, 273, 3910, 1496, 274, 267, 476, 274, 3910, 1496, 275, 267, 476, 275, 3910, 1496, 276, 267, 476, 276, 3910, 1496, 277, 267, 476, 277, 3910, 1496, 278, 267, 476, 278, 3910, 1496, 279, 267, 476, 279, 3910, 1496, 280, 267, 476, 280, 316, 7481, 8199, 2171, 666, 14458, 891, 2798, 1210, 519, 2387, 323, 537, 6921, 553, 318, 701, 27462, 319, 1599, 267, 609, 513, 12939, 1871, 540, 476, 272, 912, 3499, 7090, 454, 2908, 9557, 815, 3654, 6921, 553, 318, 701, 27462, 16597, 318, 637, 267, 476, 272, 267, 7003, 16597, 318, 637, 4917, 8199, 763, 4611, 2798, 616, 912, 3499, 322, 1087, 454, 6783, 31912, 272, 267, 476, 272, 16689, 11434, 1496, 276, 267, 476, 276, 16689, 11434, 1496, 280, 267, 476, 280, 316, 7481, 8199, 2026, 649, 666, 1294, 267, 519, 1297, 540, 2798, 814, 1044, 4389, 689, 476, 280, 547, 476, 274, 267, 1247, 5329, 519, 2949, 3337, 540, 519, 7455, 780, 1012, 10390, 692, 1103, 713, 3296, 267, 649, 723, 8268, 519, 19958, 6261, 324, 27462, 7412, 22217, 2305, 23990, 543, 8045, 621, 538, 5124, 269, 901, 5690, 568, 513, 3532, 1907, 585, 4227, 519, 1297, 540, 2798, 538, 513, 7455, 267, 1247, 5329, 519, 2949, 3337, 543, 2934, 269, 898, 568, 4922, 1031, 538, 2780, 12449, 267, 3239, 4393, 267, 543, 22944, 780, 1103, 519, 1985, 3296, 267, 649, 786, 2263, 1776, 5690, 585, 28976, 14258, 281, 519, 10548, 518, 5937, 537, 6921, 553, 6261, 324, 27462, 23990, 269, 901, 5690, 568, 2147, 547, 519, 19958, 6261, 324, 27462, 23990, 267, 855, 3096, 513, 1114, 1935, 585, 4466, 519, 2798, 547, 4894, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 333, 910, 476, 272, 994, 825, 1948, 5793, 1998, 3259, 454, 825, 667, 815, 476, 271, 269, 271, 454, 825, 1007, 9557, 815, 11713, 825, 1007, 9557, 6910, 16597, 318, 637, 314, 271, 7481, 825, 1775, 815, 476, 272, 454, 825, 1247, 630, 328, 2999, 7003, 16597, 318, 637, 15892, 1038, 1948, 585, 1775, 538, 2039, 263, 272, 267, 7003, 16597, 318, 637, 264, 2567, 1948, 263, 2280, 1775, 815, 476, 272, 282, 1775, 2999, 1239, 318, 637, 32324, 282, 1775, 10030, 994, 1038, 546, 815, 5286, 28460, 18828, 27904, 18828, 4877, 1077, 16597, 318, 637, 5157, 910, 476, 272, 267, 2433, 316, 910, 1239, 318, 637, 5157, 267, 2433, 16689, 4449, 7386, 476, 273, 30727, 476, 1948, 263, 11907, 318, 637, 5157, 910, 476, 272, 3910, 1239, 318, 637, 5157, 8079, 3248, 1038, 1948, 1820, 9217, 267, 546, 267, 594, 267, 1239, 318, 637, 5157, 268, 272, 267, 281, 3910, 1239, 318, 637, 5157, 267, 281, 7481, 1038, 952, 16733, 291, 1341, 546, 264, 13843, 594, 2187, 2018, 7117, 815, 1239, 318, 637, 5157, 910, 476, 272, 267, 2433, 316, 1341, 27210, 3546, 630, 296, 910, 667, 264, 1315, 546, 264, 2608, 630, 11907, 318, 637, 5157, 267, 2433, 316, 910, 1239, 318, 637, 5157, 910, 476, 272, 267, 2433, 7481, 2018, 1007, 9557, 6910, 32429, 994, 2018, 1239, 318, 637, 815, 5286, 27044, 18692, 3546, 1239, 318, 637, 267, 1775, 267, 7117, 267, 7852, 284, 271, 454, 2018, 3738, 476, 1948, 12133, 1412, 336, 262, 693, 2990, 1775, 538, 2798, 521, 6745, 269, 1412, 336, 262, 786, 581, 519, 1985, 1775, 454, 2018, 1948, 1820, 9230, 263, 296, 910, 667, 264, 1315, 546, 1070, 11907, 318, 637, 994, 2018, 667, 815, 476, 271, 269, 271, 454, 1038, 3116, 912, 2018, 667, 6834, 546, 454, 1038, 1775, 6834, 476, 272, 454, 825, 952, 630, 6352, 28956, 9557, 264, 2652, 562, 910, 476, 272, 2187, 1038, 1007, 9557, 6910, 16597, 318, 637, 314, 6352, 16597, 318, 637, 264, 910, 476, 272, 267, 2433, 7481, 825, 1007, 9557, 815, 5286, 15126, 28956, 9557, 994, 825, 2132, 1007, 9557, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1106, 543, 513, 6152, 2361, 267, 519, 17389, 12045, 540, 513, 11186, 1106, 609, 2463, 547, 513, 6152, 2361, 543, 519, 23656, 656, 12045, 540, 513, 11186, 1106, 609, 2463, 547, 513, 6152, 2361, 593, 513, 32032, 609, 513, 3989, 4276, 780, 2162, 1401, 10262, 1587, 692, 763, 16538, 1587, 540, 513, 737, 27322, 14668, 543, 606, 910, 845, 16061, 267, 20922, 14668, 15512, 267, 568, 513, 630, 330, 1341, 3738, 268, 845, 269, 2311, 1142, 1448, 533, 540, 519, 32032, 631, 267, 519, 3029, 14668, 543, 16061, 616, 2609, 540, 606, 16538, 1379, 540, 519, 28422, 836, 550, 2230, 693, 533, 269, 1879, 519, 16538, 7223, 568, 9763, 607, 513, 23479, 540, 519, 21723, 7223, 267, 519, 16538, 1587, 14687, 547, 519, 21723, 1587, 630, 7116, 25222, 519, 30424, 6935, 10747, 519, 16538, 7223, 6393, 763, 24431, 2096, 11496, 7915, 538, 519, 16538, 7223, 1797, 602, 950, 14668, 15512, 568, 9763, 607, 513, 1617, 559, 710, 541, 6198, 267, 621, 568, 20367, 269, 1717, 267, 950, 519, 16538, 7223, 568, 11251, 607, 513, 1016, 11898, 540, 519, 21723, 7223, 676, 1797, 540, 519, 3124, 566, 4786, 267, 519, 21723, 1587, 14668, 15512, 568, 711, 20367, 269, 1703, 568, 606, 8763, 4542, 799, 6257, 519, 16538, 1587, 538, 713, 3510, 269, 634, 16538, 1587, 568, 692, 21851, 6234, 1422, 10401, 1422, 342, 8354, 1422, 15883, 31386, 28072, 4067, 2715, 2704, 339, 348, 22570, 10401, 1422, 582, 1307, 1422, 15883, 15426, 10592, 2252, 519, 32750, 540, 12276, 6234, 11513, 3667, 5882, 1422, 15927, 342, 8354, 7684, 3867, 333, 348, 307, 3867, 15857, 300, 4151, 1109, 883, 12276, 6234, 11513, 15927, 582, 1307, 7684, 3867, 333, 348, 307, 3867, 15857, 300, 4151, 1109, 568, 2944, 3842, 519, 4786, 12276, 6234, 562, 256, 315, 28072, 4067, 2715, 2704, 339, 348, 476, 4151, 1109, 3079, 540, 12276, 6234, 1422, 28072, 4067, 2715, 2704, 339, 348, 476, 4151, 1109, 267, 519, 16538, 1587, 568, 692, 21851, 6234, 1422, 10401, 1422, 342, 8354, 1422, 15883, 815, 3189, 2765, 2715, 263, 330, 10954, 749, 3738, 256, 2410, 330, 256, 315, 749, 8206, 14990, 28072, 4067, 2715, 2704, 339, 348, 22570, 10401, 1422, 582, 1307, 1422, 15883, 15426, 10592, 1607, 6609, 568, 3730, 585, 8763, 26398, 269, 1280, 1383, 267, 952, 737, 815, 815, 476, 272, 267, 1287, 14668, 15512, 568, 519, 476, 273, 27322, 4171, 1871, 693, 513, 1448, 533, 568, 519, 20367, 21536, 710, 541, 1106, 3989, 676, 692, 21851, 6234, 22570, 10401, 1422, 342, 8354, 1422, 15883, 3738, 3709, 335, 12917, 341, 267, 342, 21174, 10401, 23214, 335, 12917, 341, 9385, 15883, 23214, 335, 12917, 342, 9984, 315, 10401, 23214, 335, 12917, 342, 9385, 15883, 23214, 335, 12917, 341, 264, 10592, 1721, 642, 267, 530, 17995, 570, 335, 300, 780, 763, 16538, 1587, 568, 21536, 710, 541, 281, 1403, 14668, 267, 16061, 267, 543, 29339, 616, 1022, 11186, 3029, 267, 543, 952, 535, 568, 1022, 5347, 1599, 267, 1287, 692, 21851, 6234, 1422, 10401, 1422, 342, 8354, 22570, 15883, 1341, 315, 24472, 3738, 7807, 10401, 1422, 342, 8354, 1422, 15883, 1341, 315, 10401, 1422, 342, 8354, 1422, 24472, 2073, 21456, 21851, 6234, 1422, 10401, 1422, 342, 8354, 630, 325, 24206, 1422, 15883, 3738, 284, 325, 24206, 22570, 10401, 1422, 342, 8354, 1422, 15883, 15426, 10592, 2005, 568, 7729, 342, 862, 32477, 630, 10193, 1634, 607, 28439, 862, 32477, 1070, 2495, 602, 621, 25389, 513, 14583, 540, 1884, 545, 2174, 583, 18356, 602, 5673, 593, 519, 5232, 540, 519, 3029, 281, 952, 14668, 568, 513, 737, 27322, 543, 16061, 568, 606, 910, 845, 267, 1287, 692, 21851, 6234, 1422, 10401, 1422, 342, 8354, 1422, 15883, 815, 8987, 272, 22722, 330, 315, 749, 476, 4153, 15883, 1422, 342, 8354, 1422, 10401, 1547, 10592, 3080, 849, 814, 519, 28439, 2274, 30519, 714, 4341, 1384, 21851, 6234, 546, 7268, 10401, 1422, 342, 8354, 1422, 15883, 3738, 284, 323, 315, 10401, 1422, 342, 8354, 1422, 15883, 1341, 8987, 272, 22722, 330, 4153, 10401, 1422, 342, 8354, 546, 315, 15883, 1547, 10592, 2162, 681, 22044, 2335, 1014, 32032, 692, 4002, 513, 681, 22044, 2335, 1014, 32032, 267, 610, 811, 3622, 513, 29660, 7304, 22044, 2335, 1014, 32032, 267, 519, 11973, 11225, 513, 20249, 30150, 568, 31532, 540, 519, 17242, 543, 28422, 836, 550, 15985, 956, 269, 901, 2306, 621, 2009, 547, 6460, 6152, 4610, 547, 524, 913, 2758, 4610, 543, 13030, 17930, 269, 898, 849, 6087, 519, 4214, 540, 3606, 4238, 971, 607, 519, 670, 17690, 5182, 11346, 12276, 6234, 1422, 28588, 1422, 3712, 517, 1422, 29604, 476, 3867, 330, 12917, 300, 9385, 11513, 23637, 7758, 11513, 13678, 476, 7346, 1729, 476, 14990, 1422, 29604, 476, 3867, 333, 10275, 12917, 300, 264, 4151, 1109, 543, 519, 13798, 858, 22460, 12276, 6234, 1422, 23169, 1422, 3712, 517, 1422, 29604, 476, 3867, 330, 12917, 300, 9385, 21375, 1422, 29604, 476, 3867, 330, 268, 272, 12917, 300, 264, 4151, 1109, 267, 799, 814, 4110, 6567, 272, 543, 568, 7755, 2002, 547, 519, 16538, 11186, 546, 780, 2971, 21070, 2361, 3889, 692, 4002, 513, 29660, 7304, 22044, 2335, 1014, 32032, 267, 476, 272, 268, 13257, 666, 581, 4857, 609, 6152, 4610, 282, 6152, 4610, 723, 3606, 3982, 15821, 3889, 267, 799, 616, 7396, 1934, 585, 2796, 543, 547, 2057, 10539, 780, 20058, 267, 1142, 630, 1723, 264, 339, 836, 550, 2230, 12958, 513, 1849, 858, 867, 7223, 267, 1141, 519, 1587, 540, 513, 630, 1723, 264, 19066, 609, 3294, 568, 2016, 676, 519, 1871, 540, 513, 13392, 1106, 1107, 538, 713, 2013, 267, 519, 2067, 835, 13251, 676, 519, 11973, 269, 901, 7223, 568, 3982, 689, 519, 16538, 7223, 540, 11186, 3029, 267, 799, 666, 581, 9763, 607, 513, 1849, 858, 867, 7223, 1141, 519, 13392, 1106, 8709, 8460, 630, 26238, 519, 16538, 1587, 540, 1022, 6152, 609, 3294, 568, 4642, 1040, 1849, 858, 867, 620, 613, 30944, 616, 3976, 1875, 268, 4842, 2174, 32477, 9497, 31642, 636, 8442, 22775, 725, 540, 519, 16538, 7223, 269, 1358, 616, 6594, 538, 12166, 7223, 780, 5194, 4244, 568, 547, 2015, 6152, 4610, 607, 8174, 725, 269, 634, 630, 12061, 5570, 32477, 264, 7223, 540, 11186, 12427, 789, 5352, 568, 519, 1284, 2643, 7223, 543, 568, 513, 1875, 5570, 32477, 9497, 31642, 636, 8442, 22636, 540, 519, 21136, 7223, 538, 519, 6152, 4610, 780, 2162, 1401, 10262, 11186, 1950, 692, 3080, 1271, 3959, 540, 519, 16538, 12045, 568, 602, 546, 273, 815, 476, 271, 269, 901, 1797, 602, 519, 16538, 12045, 11225, 513, 1071, 7798, 1950, 1384, 21851, 6234, 476, 271, 315, 1422, 1729, 1422, 1422, 29604, 476, 3867, 271, 12917, 300, 9385, 11513, 23637, 7758, 2715, 323, 7346, 1729, 476, 14990, 1422, 29604, 476, 3867, 272, 12917, 300, 9385, 11513, 23637, 7758, 2715, 323, 7346, 1729, 476, 14990, 1422, 29604, 476, 3867, 273, 12917, 300, 9385, 11513, 23637, 7758, 2715, 323, 7346, 1729, 476, 14990, 1422, 29604, 476, 3867, 274, 12917, 300, 9385, 1422, 1729, 1422, 1422, 26984, 1422, 1422, 1729, 1422, 1422, 29604, 476, 3867, 333, 12917, 300, 9385, 1422, 1729, 1422, 476, 271, 269, 10592, 1607, 1950, 568, 1572, 519, 632, 681, 5069, 1950, 267, 543, 922, 16649, 558, 1108, 568, 676, 4214, 519, 632, 681, 5069, 16649, 558, 1108, 540, 631, 269, 1635, 519, 7313, 4532, 541, 2946, 19790, 2742, 267, 519, 632, 681, 5069, 1950, 568, 12725, 3169, 4849, 693, 3852, 358, 271, 29687, 1040, 634, 17830, 693, 3852, 358, 271, 29687, 264, 568, 519, 2230, 540, 12725, 3586, 3252, 593, 631, 269, 4475, 267, 519, 1950, 568, 513, 6571, 540, 519, 3586, 1352, 2378, 681, 267, 799, 538, 2490, 10522, 513, 1106, 540, 632, 681, 5069, 781, 11532, 281, 632, 681, 5069, 16649, 558, 1108, 1939, 525, 519, 1352, 2378, 16649, 558, 1108, 540, 681, 780, 1012, 29553, 3724, 692, 22428, 602, 535, 1109, 281, 30400, 568, 5347, 269, 634, 11186, 540, 535, 568, 513, 5347, 4786, 17093, 1109, 281, 570, 21587, 301, 1063, 519, 17242, 15985, 956, 540, 631, 543, 715, 269, 901, 4786, 568, 849, 20922, 535, 543, 1572, 519, 7903, 3453, 269, 1280, 1022, 1448, 533, 300, 543, 1022, 17242, 6152, 642, 307, 335, 300, 267, 972, 568, 513, 1134, 20452, 7903, 3453, 6152, 535, 17635, 264, 538, 570, 325, 9638, 264, 301, 269, 1717, 267, 519, 1482, 568, 711, 3020, 540, 513, 6152, 2361, 269, 1403, 535, 568, 711, 7630, 633, 267, 2161, 1317, 7117, 301, 814, 1079, 610, 811, 840, 30502, 267, 1287, 519, 6152, 2361, 949, 3313, 1079, 610, 811, 3982, 10321, 538, 570, 336, 301, 269, 1403, 535, 568, 711, 1147, 11187, 267, 1287, 972, 786, 581, 513, 1448, 7117, 301, 693, 799, 535, 1281, 711, 3313, 1022, 17242, 6152, 693, 782, 269, 4595, 513, 6152, 2361, 593, 715, 11887, 267, 676, 4214, 267, 513, 2189, 17242, 6152, 693, 1169, 1448, 540, 715, 267, 519, 7903, 3453, 540, 513, 6152, 2361, 1281, 711, 2141, 2291, 780, 3528, 4334, 267, 621, 568, 2141, 2009, 547, 7485, 1394, 513, 11186, 1106, 269, 589, 11186, 1106, 593, 715, 949, 581, 9763, 607, 513, 5276, 6198, 593, 1142, 17242, 2230, 269, 2776, 1260, 19397, 713, 6198, 609, 519, 11186, 17093, 1109, 281, 570, 21587, 301, 11225, 513, 5276, 6198, 593, 1142, 17242, 2230, 540, 631, 543, 4061, 513, 11186, 1106, 593, 631, 269, 634, 6228, 540, 7485, 10587, 568, 835, 540, 519, 1883, 2934, 540, 519, 3069, 540, 11186, 3029, 269, 898, 5012, 547, 519, 6228, 540, 7485, 3724, 7851, 538, 824, 3871, 267, 971, 607, 7485, 3724, 4630, 14521, 3359, 538, 632, 681, 5069, 16649, 558, 1108, 780, 13528, 958, 267, 1577, 535, 1109, 281, 30400, 581, 5347, 267, 543, 1577, 28911, 581, 513, 5347, 737, 27322, 593, 715, 269, 3973, 972, 568, 513, 11186, 1106, 535, 22886, 593, 631, 267, 1572, 519, 7485, 3724, 540, 28911, 267, 799, 19306, 519, 2623, 540, 28911, 607, 2938, 3448, 547, 535, 269, 1677, 5581, 519, 7485, 3724, 267, 4368, 513, 1448, 533, 540, 631, 543, 17242, 10321, 642, 272, 267, 10371, 1421, 642, 330, 547, 631, 693, 533, 269, 634, 7485, 3724, 540, 28911, 568, 3989, 676, 519, 4542, 692, 21851, 6234, 630, 325, 3867, 265, 4153, 18652, 3738, 3709, 335, 12917, 341, 3709, 272, 9574, 315, 24126, 2073, 341, 3709, 330, 348, 21174, 18652, 23214, 325, 9638, 264, 12917, 325, 3709, 15857, 341, 3709, 272, 9574, 315, 24126, 2073, 325, 3709, 15857, 341, 3709, 330, 348, 1040, 10592, 2467, 616, 1896, 811, 7493, 2081, 547, 2070, 713, 4214, 269, 1403, 28911, 568, 513, 476, 272, 27322, 593, 715, 267, 1287, 621, 949, 581, 9763, 607, 513, 3296, 540, 519, 28422, 836, 550, 22753, 570, 301, 540, 715, 269, 4635, 547, 20301, 513, 12242, 4786, 267, 519, 12242, 547, 519, 11186, 540, 535, 568, 630, 4206, 264, 1109, 281, 570, 18199, 300, 269, 634, 7485, 3724, 540, 28911, 949, 581, 3989, 547, 581, 519, 12432, 692, 21851, 6234, 631, 315, 11513, 23637, 7758, 2715, 325, 7346, 1729, 476, 14990, 715, 315, 11513, 23637, 7758, 11513, 18652, 476, 7346, 1729, 476, 14990, 570, 3867, 15857, 301, 315, 11513, 23637, 7758, 2715, 263, 4206, 22722, 15857, 7346, 14075, 21375, 476, 14990, 570, 3867, 15857, 300, 269, 10592, 1607, 568, 513, 3296, 540, 519, 28422, 836, 550, 22753, 540, 631, 543, 8754, 513, 11186, 476, 272, 27322, 593, 631, 269, 769, 2407, 1252, 1275, 267, 1577, 12276, 3667, 5882, 1422, 15927, 342, 8354, 476, 3867, 330, 12917, 4206, 22722, 265, 22288, 1109, 20301, 519, 737, 628, 16538, 1379, 540, 519, 12242, 4786, 547, 519, 11186, 269, 3973, 519, 7485, 3724, 540, 513, 737, 27322, 28911, 568, 519, 12432, 692, 21851, 6234, 631, 315, 11513, 23637, 7758, 2715, 325, 7346, 1729, 476, 14990, 715, 315, 11513, 23637, 7758, 11513, 18652, 476, 7346, 1729, 476, 14990, 11513, 3667, 5882, 1422, 15927, 342, 8354, 7684, 3867, 330, 348, 307, 3867, 15857, 301, 315, 11513, 23637, 7758, 2715, 3189, 15927, 342, 8354, 7684, 3867, 330, 12917, 4206, 22722, 15857, 7346, 14075, 21375, 476, 14990, 11513, 3667, 5882, 1422, 15927, 342, 8354, 7684, 3867, 330, 348, 307, 3867, 15857, 300, 269, 10592, 5194, 7493, 1259, 547, 2070, 519, 7485, 3724, 2501, 689, 13156, 513, 737, 27322, 28911, 607, 513, 5276, 6198, 593, 17242, 5624, 269, 3245, 713, 1448, 540, 2070, 267, 28911, 568, 513, 10641, 1143, 540, 6152, 15985, 956, 692, 21851, 6234, 11513, 3667, 5882, 1422, 15927, 342, 8354, 7684, 3867, 330, 348, 307, 301, 315, 11513, 23637, 7758, 11513, 18652, 476, 7346, 1729, 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 ]
[ 1175, 538, 2013, 519, 3992, 596, 1185, 9709, 563, 2252, 596, 824, 1453, 945, 616, 1932, 1762, 585, 1153, 267, 1118, 2386, 789, 723, 6266, 540, 2238, 547, 1832, 873, 13026, 269, 5620, 2238, 543, 9162, 602, 11282, 609, 707, 4587, 3214, 685, 2238, 1282, 1153, 942, 269, 901, 786, 1577, 873, 581, 851, 540, 513, 4928, 543, 5965, 873, 585, 741, 1378, 5049, 563, 2791, 991, 547, 849, 8275, 602, 32059, 666, 1406, 2141, 1187, 269, 1703, 786, 581, 2053, 950, 596, 723, 547, 7903, 707, 1453, 9875, 269, 24356, 8755, 6486, 543, 2542, 827, 5396, 789, 5749, 1406, 5461, 538, 3884, 1406, 1187, 585, 873, 269, 1411, 949, 723, 547, 946, 8007, 14565, 547, 536, 11171, 707, 3214, 1445, 593, 1919, 789, 798, 711, 1616, 547, 798, 563, 8340, 824, 1004, 945, 18954, 269, 1411, 666, 2671, 4388, 543, 2093, 267, 607, 1134, 607, 2307, 585, 5796, 543, 1118, 1007, 2828, 269, 634, 824, 3237, 991, 711, 3310, 1169, 2460, 540, 18997, 707, 1453, 267, 855, 811, 4810, 1753, 7855, 666, 2671, 3407, 7326, 563, 2791, 786, 581, 2111, 547, 1491, 713, 1702, 543, 4019, 621, 4743, 602, 596, 666, 1205, 621, 998, 547, 707, 3214, 269, 16474, 610, 667, 611, 607, 4116, 568, 5140, 267, 607, 1100, 835, 30128, 811, 827, 707, 3214, 982, 596, 798, 269, 12315, 707, 596, 543, 3214, 519, 2069, 789, 17330, 269, 1358, 17330, 519, 1655, 2336, 2690, 513, 4396, 5748, 543, 2635, 10182, 585, 596, 543, 707, 1126, 267, 1832, 513, 2312, 2759, 11984, 1063, 1863, 942, 543, 2324, 1153, 942, 269, 1879, 968, 5035, 892, 13071, 856, 585, 519, 1554, 267, 1810, 1406, 562, 698, 873, 547, 798, 741, 6780, 693, 513, 1808, 942, 1142, 1554, 269, 14171, 513, 7552, 856, 666, 948, 547, 6001, 873, 267, 971, 607, 513, 7552, 547, 513, 7260, 610, 6288, 269, 0, 1607, 3184, 9388, 609, 2185, 5036, 540, 2596, 3741, 267, 782, 540, 799, 616, 1271, 547, 519, 8955, 3593, 912, 763, 5969, 1184, 454, 1692, 2326, 4431, 547, 8955, 1769, 454, 1692, 2910, 273, 22795, 960, 454, 21292, 313, 4532, 8738, 940, 21419, 1756, 667, 8610, 728, 21969, 3429, 454, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 563, 15100, 22219, 13305, 518, 25419, 5507, 17290, 476, 1960, 274, 0, 4462, 8971, 1540, 1257, 12744, 281, 1702, 267, 543, 1007, 2081, 540, 3257, 1919, 269, 3683, 942, 267, 519, 1259, 1919, 616, 2944, 538, 606, 3919, 666, 2097, 547, 3100, 1318, 543, 3339, 267, 543, 519, 1367, 949, 4163, 891, 883, 1114, 2127, 540, 741, 1272, 269, 31044, 2528, 568, 519, 1305, 540, 17697, 543, 8763, 2418, 267, 4978, 267, 543, 1702, 602, 616, 2189, 547, 513, 1880, 3919, 269, 898, 1522, 1331, 1919, 899, 10571, 3009, 267, 3617, 9644, 267, 4626, 17165, 610, 3668, 23476, 267, 2138, 339, 657, 610, 2161, 902, 267, 1880, 946, 540, 2029, 267, 24960, 545, 2418, 267, 610, 513, 3838, 5692, 19601, 8698, 9509, 11657, 454, 268, 11354, 1412, 6021, 454, 268, 24205, 267, 31044, 2090, 267, 27801 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3502, 32695, 1107, 1879, 596, 6494, 513, 1257, 5048, 689, 707, 1591, 6049, 267, 596, 3180, 707, 6049, 2476, 689, 707, 1560, 267, 543, 2484, 2476, 689, 707, 2212, 267, 799, 6971, 707, 4598, 547, 5982, 269, 3436, 4855, 513, 16200, 28686, 543, 13773, 10925, 910, 2691, 707, 1591, 6049, 814, 513, 4617, 5365, 267, 621, 814, 547, 960, 9875, 547, 10141, 543, 4309, 267, 543, 602, 11224, 2362, 28377, 540, 5982, 563, 2791, 3068, 519, 1482, 1966, 950, 596, 616, 3001, 3533, 1107, 14964, 538, 513, 1286, 267, 1668, 610, 5721, 267, 585, 1383, 1107, 1317, 707, 1591, 6049, 568, 7142, 547, 14578, 12520, 1007, 28377, 540, 5982, 607, 621, 13462, 547, 1114, 1591, 20610, 2059, 707, 8905, 269, 3436, 2422, 519, 570, 17344, 548, 6396, 1107, 596, 666, 2569, 707, 5982, 4598, 676, 8066, 519, 6049, 2476, 689, 707, 1274, 950, 596, 616, 6158, 543, 1152, 8744, 621, 2673, 547, 6432, 269, 4635, 513, 2212, 3553, 610, 10584, 7154, 568, 1869, 519, 1732, 4781, 267, 855, 519, 547, 24327, 1505, 666, 2759, 519, 2179, 540, 5982, 707, 2634, 543, 1560, 25309, 563, 3963, 4518, 609, 2974, 454, 12749, 10866, 543, 4270, 268, 4910, 792, 3481, 14430, 454, 2171, 2141, 1118, 2386, 602, 5830, 1246, 782, 707, 5528, 10502, 269, 1411, 666, 3442, 707, 4081, 1377, 281, 1164, 1153, 267, 2852, 270, 684, 1751, 610, 3318, 267, 543, 649, 786, 3651, 513, 5856, 945, 814, 513, 9757, 4110, 563, 32153, 543, 5438, 27624, 14288, 19536, 454, 2171, 723, 513, 2319, 540, 3318, 5830, 609, 1995, 538, 4081, 543, 1870, 1603, 269, 3509, 616, 5065, 10529, 543, 2111, 547, 1685, 1022, 4305, 585, 799, 596, 991, 948, 563, 10403, 1133, 15905, 4860, 2888, 454, 2252, 596, 1589, 649, 14406, 1945, 267, 6494, 707, 1931, 585, 513, 1863, 14469, 269, 1411, 723, 476, 1015, 2395, 547, 10505, 519, 1931, 585, 2689, 1310, 596, 723, 4607, 519, 3803, 3561, 269, 1411, 666, 798, 713, 3054, 1310, 19883, 883, 707, 2123, 2272, 610, 676, 32296, 938, 1489, 563, 23220, 696, 24822, 543, 476, 1911, 260, 14559, 5174, 871, 8566, 340, 5875, 2465, 454, 5472, 4574, 616, 2141, 9447, 593, 942, 269, 769, 2013, 649, 991, 811, 942, 547, 4487, 707, 1957, 267, 649, 949, 3346, 596, 3823, 519, 21120, 10137, 269, 769, 2013, 596, 3112, 1683, 721, 609, 811, 942, 267, 513, 476, 1911, 260, 32479, 568, 16798, 563, 24314, 1299, 4762, 7808, 454, 2171, 946, 1896, 1603, 2645, 11974, 547, 2327, 602, 782, 6054, 596, 4309, 616, 1863, 689, 17096, 269, 3776, 15769, 5402, 2689, 782, 24185, 538, 519, 1257, 269, 1284, 849, 9153, 5021, 22637, 538, 782, 540, 938, 2533, 563, 2190, 270, 278, 21436, 8081, 454, 5978, 1489, 8069, 616, 2139, 476, 2190, 3108, 513, 1554, 476, 278, 2395, 513, 3018, 543, 8149, 547, 3246, 596, 609, 519, 1655, 6075, 1995, 269, 5192, 538, 5905, 8164, 596, 991, 1022, 6351, 563, 2521, 621, 1631, 2336, 1692, 621, 1568, 888, 10287, 891, 2241, 3268, 547, 1205, 707, 1957, 2944, 454, 20278, 707, 1931, 454, 293, 650, 538, 519, 1931, 1106, 543, 1683, 782, 3877, 540, 707, 7084, 563, 3682, 3865, 609, 519, 8569, 454, 16521, 519, 8569, 1062, 602, 17015, 596, 1034, 563, 3725, 576, 633, 519, 3803, 3758, 454, 5629, 707, 1957, 568, 4712, 267, 649, 786, 4757, 621, 547, 596, 563, 5591, 991, 547, 960, 593, 707, 1957, 693, 3781, 269, 12619, 9395, 267, 649, 786, 3382, 707, 1394, 269, 1284, 2709, 782, 5686, 540, 1603, 2533, 563, 5591, 2339, 1018, 2186, 540, 4081, 1957, 596, 991, 543, 875, 14849, 596, 991, 621, 267, 596, 616, 10950, 547, 3442, 707, 4081, 1377, 543, 519, 1826, 540, 707, 1957, 693, 606, 10097, 3902, 269, 1284, 1491, 1416, 540, 782, 707, 1957, 2115, 543, 2285, 513, 476, 2190, 270, 278, 6075, 1416, 1489, 1062, 563, 3849, 3939, 10749, 1299, 6355, 5675, 6435, 454, 2304, 16075, 1557, 568, 606, 1557, 610, 824, 2854, 3948, 676, 513, 11134, 267, 1419, 513, 1761, 2875, 679, 13764, 538, 513, 2852, 267, 6280, 267, 610, 10927, 1153, 269, 1411, 666, 581, 1964, 1028, 13899, 602, 998, 938, 3028, 649, 786, 2328, 519, 1655, 16075, 1557, 585, 596, 563, 5978, 4081, 5830, 543, 15769, 1118, 519, 2556, 2242, 547, 707, 1957, 865, 602, 621, 568, 25509, 269, 1284, 849, 3898, 707, 3561, 676, 7157, 844, 7627, 519, 2959, 543, 2870, 4704, 8638, 538, 519, 12043, 14905, 267, 12370, 267, 17090, 267, 9628, 1315, 570, 12350, 1014, 563, 2252, 596, 1589, 707, 1957, 1223, 581, 4824, 267, 596, 666, 7662, 513, 2689, 269, 769, 713, 2013, 267, 707, 1957, 786, 581, 13761, 676, 519, 5856, 610, 8655, 547, 606, 9375, 269, 1411, 666, 946, 713, 4781, 607, 1082, 2053, 607, 596, 1294, 3514, 269, 901, 568, 1863, 1317, 649, 1616, 596, 547, 581, 4625, 13854, 609, 519, 3028, 6035, 269, 0, 9596, 2257, 609, 3946, 6823, 267, 7317, 13502, 2336, 303, 4041, 17955, 10691, 292, 281, 901, 813, 3340, 513, 8585, 613, 28116, 543, 513, 16335, 610, 513, 16979, 547, 1995, 269, 4855, 856, 875, 547, 1205, 513, 8585, 613, 28116, 543, 1451, 811, 693, 281, 4179, 2517, 4178, 8160, 10235, 290, 4209, 2593, 563, 10743, 666, 1451, 2257, 3927, 609, 936, 476, 1911, 2257, 13502, 789, 666, 5905, 267, 3180, 543, 2170, 609, 256, 8585, 613, 25817, 630, 531, 784, 609, 513, 8585, 613, 28116, 264, 2636, 1053, 547, 8495, 513, 7296, 18962, 538, 519, 13869, 540, 741, 1688, 267, 4983, 513, 1390, 3043, 16356, 909, 2673, 267, 3180, 543, 2263, 519, 3859, 1062, 267, 26819, 513, 13855, 630, 21065, 2033, 569, 256, 1070, 543, 865, 1454, 811, 269, 2060, 2653, 3562, 17000, 2238, 543, 3710, 2987, 17118, 267, 1053, 2744, 1883, 1702, 1247, 27153, 538, 1565, 267, 1312, 538, 519, 4928, 610, 1247, 6552, 1565, 693, 1753, 563, 300, 10235, 25817, 2882, 15726, 7704, 268, 7955, 539, 3584, 585, 918, 268, 279, 628, 3446, 267, 899, 8447, 3163, 267, 5020, 3163, 267, 543, 3047, 1299, 6611, 3163, 563, 2252, 596, 723, 1022, 2055, 610, 10372, 267, 649, 1616, 547, 5873, 689, 596, 256, 13555, 721, 693, 1022, 942, 693, 18078, 17106, 11333, 3820, 563, 1607, 9337, 6770, 8585, 613, 11581, 308, 8924, 909, 547, 4266, 609, 938, 1007, 8471, 30892, 1374, 267, 3850, 5561, 547, 723, 513, 1732, 1995, 593, 811, 3457, 256, 27317, 3755, 786, 2523, 4324, 689, 713, 1689, 267, 607, 621, 10607, 519, 11768, 585, 1312, 5251, 543, 17855, 31223, 269, 634, 1007, 8471, 30892, 568, 513, 4295, 851, 540, 938, 14232, 10361, 3553, 25042, 5305, 630, 5765, 4166, 1070, 799, 786, 1450, 4896, 547, 1995, 5863, 32488, 560, 327, 893, 2473, 305, 609, 519, 8585, 613, 717, 17344, 956, 563, 305, 520, 902, 543, 17352, 454, 21430, 15726, 7704, 513, 18712, 454, 300, 2207, 12283, 25817, 568, 835, 540, 519, 1906, 2645, 6306, 689, 1837, 2200, 602, 814, 1305, 856, 547, 5447, 609, 15726, 7704, 689, 519, 856, 3553, 269, 1306, 811, 2829, 1847, 547, 15726, 7704, 2257, 6437, 267, 621, 568, 1271, 547, 1683, 3255, 585, 1053, 547, 2170, 609, 519, 1543, 538, 3860, 2081, 563, 300, 2207, 12283, 25817, 568, 2653, 547, 6330, 543, 14678, 22851, 1256, 519, 1034, 26997, 2875, 269, 1715, 1543, 568, 16111, 1373, 2919, 543, 3773, 547, 519, 3760, 547, 2232, 513, 3099, 540, 3621, 3584, 269, 21673, 811, 1390, 1919, 547, 2097, 689, 631, 2207, 12283, 538, 519, 2282, 2104, 2336, 8253, 972, 2943, 585, 6552, 3450, 563, 296, 1175, 22434, 519, 5767, 9337, 15691, 789, 6378, 513, 1906, 540, 519, 1919, 594, 1589, 1131, 2087, 519, 813, 269, 594, 6557, 513, 13241, 4116, 3450, 10026, 1153, 1053, 593, 606, 21236, 476, 1556, 1160, 7665, 543, 519, 813, 1869, 814, 8373, 9301, 519, 13306, 538, 1434, 1769, 689, 476, 273, 3952, 269, 3733, 7887, 3390, 568, 602, 594, 1131, 899, 513, 1259, 547, 2671, 519, 1995, 609, 1250, 1053, 945, 616, 12758, 693, 1753, 609, 519, 1964, 540, 519, 2197, 269, 1703, 568, 1100, 1259, 547, 2594, 713, 1995, 1510, 606, 3606, 3926, 269, 594, 6836, 5496, 10916, 855, 621, 1152, 5638, 519, 13306, 711, 519, 6772, 599, 269, 4746, 267, 950, 596, 2490, 519, 3926, 547, 8880, 593, 930, 6810, 899, 519, 1216, 4783, 519, 1913, 2408, 2427, 1811, 269, 2201, 519, 1482, 3296, 950, 596, 4434, 1210, 1985, 267, 968, 5271, 777, 2610, 892, 5526, 855, 593, 519, 1985, 4434, 782, 1614, 2408, 3079, 540, 835, 693, 513, 942, 269, 5345, 777, 2610, 568, 711, 7298, 593, 519, 1753, 5496, 540, 519, 1216, 3296, 1152, 519, 824, 1614, 269, 898, 1131, 581, 606, 15813, 1907, 952, 519, 9367, 3576, 883, 2272, 519, 1249, 602, 1034, 540, 721, 1210, 713, 1318, 1631, 723, 1100, 835, 547, 2671, 621, 609, 269, 2311, 2547, 267, 1577, 721, 2594, 519, 5496, 269, 8729, 585, 707, 7156, 563, 14946, 518, 15863, 31377, 2171, 2461, 20994, 596, 10093, 1406, 1185, 519, 1655, 1995, 267, 855, 1131, 2648, 547, 948, 596, 1205, 3323, 3450, 20716, 609, 8585, 613, 25817, 256, 7490, 3346, 721, 693, 4757, 11333, 2593, 865, 602, 649, 666, 948, 23676, 2393, 930, 540, 519, 2152, 596, 2461, 7680, 267, 543, 1683, 596, 609, 5363, 6402, 547, 6552, 3450, 18862, 269, 1284, 4076, 2938, 513, 2603, 540, 5863, 7855, 899, 3054, 945, 616, 2348, 1390, 1967, 1210, 8585, 613, 11581, 308, 585, 6552, 1565, 267, 543, 649, 8910, 2648, 519, 4316, 547, 948, 538, 1022, 1259, 649, 666, 269, 16593, 547, 5873, 689, 596, 4166, 2336, 8253, 1018, 594, 4397, 2807, 888, 2005, 729, 4986, 899, 4397, 1100, 5528, 519, 5528, 593, 519, 4216, 941, 711, 5363, 594, 11751, 519, 19467, 13306, 538, 13922, 621, 1131, 581, 607, 2653, 607, 15283, 855, 1100, 256, 2691, 594, 4945, 1450, 621, 1281, 519, 6587, 543, 2306, 803, 14827, 856, 547, 2490, 621, 593, 543, 950, 594, 4945, 593, 1945, 621, 4422, 547, 1945, 4625, 1114, 543, 1946, 568, 741, 30083, 26226, 1974, 543, 17878, 950, 519, 17878, 538, 602, 7121, 616, 849, 538, 519, 30083, 26226, 1974, 7121, 543, 811, 256, 2691, 594, 6836, 547, 946, 519, 3014, 13306, 621, 1131, 711, 960, 594, 1223, 711, 1294, 621, 543, 594, 16620, 519, 14605, 6045, 5528, 256, 763, 5528, 941, 8338, 982, 513, 476, 1015, 1032, 2025, 4171, 1603, 543, 10259, 1983, 616, 29695, 2336, 14946, 518, 15863, 31377, 17098, 589, 8932, 5984, 256, 11289, 596, 585, 707, 5955, 269, 898, 4667, 899, 972, 616, 513, 1906, 2152, 8345, 267, 865, 649, 4126, 596, 786, 3346, 1489, 593, 938, 8585, 613, 11581, 308, 3896, 865, 649, 666, 948, 23676, 2393, 2336, 10574, 21912, 547, 1411, 454, 763, 1739, 1239, 949, 581, 6394, 543, 5532, 547, 707, 3961, 912, 268, 26402, 4578, 454, 7468, 643, 2329, 2853, 949, 4268, 267, 585, 1383, 267, 1759, 593, 519, 2934, 596, 946, 610, 707, 2085, 269, 6258, 2859, 454, 268, 476, 272, 269, 277, 26838, 454, 268, 10671, 2231, 25515, 476, 1321, 269, 271, 610, 2663, 563, 268, 10671, 2231, 27317, 5308, 476, 1321, 269, 271, 610, 2663, 563, 268, 19503, 617, 5905, 454, 268, 10671, 2231, 25515, 476, 1321, 269, 271, 610, 2663, 563, 268, 10671, 2231, 5672, 5308, 476, 1556, 269, 271, 610, 2663, 543, 513, 5839, 609, 11197, 631, 272, 13863, 610, 2663, 563, 268, 6520, 28951, 454, 268, 9736, 8585, 613, 6997, 338, 267, 5549, 563, 268, 769, 5025, 653, 623, 3420, 1162, 454, 268, 13600, 569, 4427, 2675, 3628, 1269, 280, 269, 4200, 454, 268, 8585, 613, 11581, 308, 10572, 1269, 280, 269, 4200, 454, 268, 16316, 4427, 2675, 3628, 1269, 4200, 269, 4200, 454, 268, 8585, 613, 11581, 308, 10572, 1269, 4200, 269, 4200, 454, 5278, 538, 587, 495, 1952, 16306, 267, 1519, 31941, 687, 267, 949, 581, 2671, 762, 609, 707, 1920, 1895, 950, 7731, 19457, 568, 13087, 269, 0, 2791, 616, 513, 4759, 540, 513, 2749, 14643, 538, 11882, 269, 634, 2551, 540, 713, 4884, 568, 5111, 476, 5611, 267, 1822, 269, 1306, 6578, 4005, 4485, 267, 519, 14643, 814, 1336, 606, 4316, 547, 454, 3430, 778, 513, 6069, 1269, 272, 269, 876, 2333, 538, 519, 5934, 13230, 547, 1776, 3915, 269, 634, 2804, 6051, 814, 1044, 3622, 1732, 538, 11882, 982, 519, 1964, 540, 519, 2136, 2276, 267, 855, 454, 2254, 6099, 269, 1133, 655, 7877, 4867, 6763, 693, 476, 276, 269, 277, 260, 538, 11882, 3379, 547, 476, 276, 269, 280, 260, 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 ]
[ 540, 5485, 686, 16667, 806, 269, 26681, 519, 4116, 6862, 519, 6026, 949, 1491, 909, 1022, 824, 960, 269, 3465, 6326, 519, 3280, 540, 519, 28174, 553, 1590, 2611, 519, 10279, 540, 835, 1362, 865, 607, 547, 2327, 7899, 538, 713, 1158, 607, 1134, 607, 547, 1711, 8471, 17487, 478, 339, 6193, 10575, 3424, 269, 2353, 1010, 3527, 1590, 581, 6273, 676, 519, 6891, 540, 5485, 686, 16667, 576, 543, 646, 1590, 1780, 1010, 2395, 24569, 519, 966, 14037, 2245, 543, 2853, 585, 519, 1434, 540, 18495, 269, 769, 1010, 2123, 1272, 646, 1590, 1965, 3832, 342, 782, 1397, 543, 17195, 269, 634, 2243, 602, 1631, 4386, 568, 1946, 972, 1058, 581, 513, 5094, 22634, 8149, 547, 966, 14037, 1565, 543, 966, 14037, 2853, 1256, 952, 621, 568, 598, 1027, 539, 602, 966, 14037, 16051, 6652, 723, 519, 1379, 547, 798, 1434, 269, 634, 28138, 5931, 798, 711, 2161, 602, 649, 1590, 1628, 1864, 513, 19289, 610, 602, 646, 1590, 581, 2016, 13344, 540, 4154, 269, 3776, 8289, 568, 8200, 593, 519, 7828, 538, 938, 4064, 269, 1590, 2661, 538, 8788, 269, 2274, 3058, 11735, 519, 4938, 566, 540, 519, 966, 14037, 1547, 3414, 519, 7920, 2259, 540, 10649, 649, 666, 3489, 519, 10143, 1379, 540, 7487, 543, 6217, 563, 2252, 938, 27403, 647, 23807, 478, 619, 513, 7771, 269, 898, 568, 1317, 649, 723, 16618, 713, 2245, 602, 938, 4984, 3294, 814, 1831, 695, 21294, 269, 594, 993, 711, 14126, 827, 519, 1062, 540, 642, 7568, 553, 1373, 10032, 269, 7072, 547, 9699, 20144, 12609, 538, 873, 269, 782, 519, 647, 23807, 478, 1359, 543, 782, 519, 9409, 1590, 581, 11911, 547, 519, 1249, 602, 519, 23347, 2381, 814, 585, 338, 2586, 1010, 546, 327, 12609, 269, 2436, 610, 711, 972, 568, 513, 3575, 5346, 476, 3607, 898, 1281, 711, 2339, 952, 596, 616, 8572, 547, 1711, 2175, 538, 799, 23347, 332, 1231, 8754, 1721, 628, 786, 1118, 519, 13287, 540, 519, 966, 14037, 546, 327, 12609, 741, 15400, 4938, 566, 269, 602, 960, 4448, 609, 17633, 568, 593, 519, 2333, 269, 898, 3947, 803, 7772, 602, 811, 543, 811, 536, 327, 1690, 753, 630, 338, 659, 1042, 13465, 18428, 264, 616, 5342, 538, 519, 10034, 982, 1354, 269, 547, 4001, 873, 519, 27403, 585, 693, 2547, 835, 5662, 513, 1554, 689, 519, 942, 789, 616, 5216, 1296, 2025, 2394, 789, 616, 29933, 269, 855, 594, 993, 14126, 827, 1547, 1809, 1946, 1058, 519, 11091, 540, 519, 966, 14037, 546, 327, 12609, 581, 519, 15400, 4938, 566, 540, 835, 1362, 286, 898, 568, 1631, 3964, 269, 2353, 594, 2307, 596, 568, 519, 5934, 596, 666, 798, 281, 1118, 12417, 547, 18836, 547, 707, 1453, 519, 966, 14037, 16051, 6652, 269, 519, 966, 14037, 546, 327, 12609, 269, 519, 13287, 540, 519, 966, 14037, 546, 327, 12609, 1590, 2611, 513, 5094, 10912, 269, 875, 1279, 786, 519, 2238, 1759, 593, 621, 7639, 286, 634, 28174, 553, 1590, 581, 19942, 1524, 689, 4651, 547, 5067, 269, 602, 2705, 621, 949, 581, 609, 519, 824, 4938, 725, 269, 3733, 4518, 9024, 2747, 883, 966, 14037, 6044, 610, 10723, 1702, 5213, 940, 519, 10723, 8142, 546, 327, 12609, 269, 607, 594, 9959, 269, 1809, 649, 1590, 3314, 602, 519, 28174, 553, 13822, 519, 4493, 540, 782, 891, 269, 3776, 2486, 1590, 581, 835, 538, 799, 972, 616, 1100, 1019, 23807, 478, 3720, 540, 1164, 543, 1970, 269, 689, 835, 5108, 547, 519, 1985, 269, 543, 602, 1625, 5953, 5371, 27964, 630, 29171, 12973, 593, 2757, 2984, 264, 616, 2016, 811, 1419, 982, 1354, 269, 2353, 519, 8373, 538, 519, 1158, 269, 1577, 721, 8263, 602, 519, 22420, 1062, 568, 9785, 16667, 1017, 538, 2463, 540, 782, 2010, 540, 960, 269, 1684, 713, 593, 513, 18756, 4493, 538, 1142, 1327, 1275, 269, 17546, 873, 849, 519, 7281, 7541, 630, 1492, 2932, 540, 32537, 1040, 2353, 786, 1287, 2661, 538, 10103, 607, 519, 1453, 540, 17487, 359, 23410, 341, 4673, 1510, 19509, 724, 1154, 1851, 2933, 269, 1358, 786, 2661, 607, 513, 8087, 1920, 4543, 835, 1776, 543, 10825, 513, 2631, 540, 4708, 543, 8788, 10876, 269, 1403, 596, 8011, 538, 713, 596, 786, 723, 5963, 28165, 803, 609, 513, 17643, 540, 4154, 11113, 269, 2436, 610, 711, 789, 2291, 563, 1692, 1705, 30707, 2097, 547, 723, 606, 1719, 538, 938, 28174, 5953, 660, 320, 286, 1879, 789, 3357, 547, 3127, 789, 4362, 1934, 513, 1362, 540, 1004, 7722, 538, 519, 2259, 540, 519, 966, 14037, 546, 327, 12609, 607, 513, 10715, 10912, 269, 952, 519, 966, 14037, 2245, 799, 814, 1044, 9738, 899, 513, 5832, 689, 5108, 547, 5108, 568, 7745, 269, 8940, 269, 1358, 5342, 1382, 883, 891, 30920, 543, 4362, 1082, 18408, 1519, 1346, 15738, 547, 519, 9322, 540, 519, 1585, 4529, 540, 519, 1158, 269, 594, 993, 849, 5393, 7255, 827, 519, 1249, 602, 269, 634, 1434, 16109, 538, 513, 11029, 1106, 689, 519, 3280, 540, 519, 28174, 553, 543, 519, 2773, 540, 5485, 686, 16667, 806, 568, 711, 519, 1152, 9785, 16667, 339, 602, 13054, 519, 10304, 540, 18495, 269, 1280, 9608, 26402, 8307, 269, 4985, 676, 1488, 341, 785, 1744, 12609, 2353, 7126, 27616, 7868, 966, 14037, 15215, 543, 24430, 3534, 630, 290, 4292, 264, 20144, 12609, 519, 1305, 3724, 547, 519, 10304, 540, 18495, 269, 3245, 28174, 5953, 660, 320, 616, 6508, 3138, 11998, 18408, 602, 666, 3142, 17487, 478, 339, 6193, 10575, 3424, 547, 1004, 10362, 547, 782, 2477, 9884, 5454, 342, 529, 3256, 269, 621, 949, 711, 581, 2009, 547, 1711, 519, 2245, 782, 936, 1586, 2593, 476, 4391, 1547, 3571, 4591, 1465, 15662, 504, 686, 20289, 754, 571, 7203, 553, 342, 10620, 693, 519, 4630, 600, 28379, 834, 763, 966, 14037, 15215, 281, 13823, 2563, 892, 2934, 538, 4985, 547, 9699, 20144, 12609, 281, 16503, 3603, 3798, 1243, 676, 7812, 744, 1066, 32684, 269, 1358, 941, 8049, 547, 19509, 526, 856, 538, 1018, 1259, 519, 28174, 553, 941, 1390, 602, 606, 3003, 1362, 540, 1004, 1058, 723, 6131, 2933, 547, 873, 782, 741, 1272, 563, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 286, 0, 20597, 760, 547, 6301, 12474, 454, 2005, 568, 1634, 689, 1312, 3069, 543, 10230, 13502, 602, 513, 1699, 13942, 23119, 7805, 22887, 6672, 607, 621, 9070, 919, 2059, 513, 7299, 3501, 18364, 540, 7833, 267, 1875, 14706, 11098, 630, 324, 3052, 1421, 513, 12718, 264, 1657, 9985, 10647, 2666, 267, 9599, 693, 922, 5377, 676, 513, 561, 22981, 2707, 269, 634, 2404, 13590, 2361, 2497, 568, 1875, 20675, 2091, 13590, 630, 307, 4932, 1070, 3226, 2282, 519, 2707, 3148, 269, 2201, 519, 824, 1688, 267, 621, 814, 1044, 3254, 2555, 21154, 676, 774, 2714, 1952, 650, 559, 1696, 620, 269, 630, 1220, 272, 267, 476, 1220, 275, 264, 602, 1100, 22887, 6672, 4386, 543, 519, 13590, 2361, 2497, 568, 6986, 29529, 13590, 630, 307, 4932, 264, 952, 519, 18364, 11098, 543, 2707, 2450, 616, 10924, 547, 581, 31208, 2572, 2711, 269, 634, 3804, 540, 713, 1957, 568, 547, 4983, 519, 7271, 540, 1699, 22887, 6672, 607, 621, 9070, 919, 2059, 513, 1875, 14706, 11098, 18364, 267, 1759, 593, 519, 22502, 3069, 543, 593, 513, 1875, 684, 6134, 6771, 1899, 19406, 269, 769, 7311, 519, 22502, 3069, 267, 649, 31693, 519, 834, 20135, 257, 1699, 538, 519, 18364, 883, 1079, 3334, 602, 649, 3277, 547, 607, 519, 834, 4532, 1211, 257, 543, 834, 2675, 13593, 257, 14768, 269, 634, 834, 4532, 1211, 257, 1699, 5713, 607, 513, 4704, 630, 7224, 22887, 6672, 1070, 9138, 23304, 8973, 519, 5872, 540, 25739, 3167, 543, 6419, 4610, 609, 519, 18364, 267, 1247, 519, 834, 2675, 13593, 257, 1699, 267, 1336, 1934, 1210, 519, 13113, 1673, 29924, 942, 26730, 664, 630, 293, 291, 31813, 264, 1505, 267, 666, 581, 9763, 607, 513, 15494, 547, 2272, 585, 602, 5872, 269, 634, 16559, 1699, 1110, 5809, 519, 10071, 1699, 865, 602, 519, 25739, 2698, 1699, 13942, 5526, 22887, 18050, 269, 4935, 267, 519, 1699, 22887, 6672, 568, 2693, 547, 581, 1813, 547, 2361, 22502, 602, 1281, 711, 2049, 538, 519, 2013, 540, 4642, 11098, 18364, 269, 634, 22887, 6672, 540, 519, 2698, 1699, 13942, 568, 10483, 676, 519, 561, 1263, 28517, 540, 922, 2766, 267, 971, 602, 519, 2698, 5279, 4483, 568, 4830, 540, 4463, 269, 20976, 11582, 540, 519, 7299, 18364, 1657, 2666, 676, 513, 1875, 684, 6134, 6771, 1899, 4171, 8984, 25317, 4679, 609, 2810, 4463, 568, 3254, 547, 21230, 16196, 519, 1699, 13942, 22887, 6672, 10567, 676, 519, 22502, 3069, 269, 769, 713, 19406, 267, 519, 7805, 1699, 22887, 6672, 609, 4463, 666, 581, 11911, 547, 6329, 10630, 1394, 547, 519, 2707, 269, 634, 2164, 723, 1271, 6286, 585, 1646, 543, 7664, 540, 17500, 3631, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3848, 476, 273, 910, 16713, 563, 21296, 14893, 5999, 454, 272, 269, 1215, 1082, 2395, 1705, 519, 8187, 619, 2951, 547, 1205, 547, 741, 1007, 1753, 888, 5416, 264, 476, 3393, 2395, 563, 6357, 264, 476, 2004, 2395, 563, 6262, 264, 476, 3374, 2395, 563, 5560, 264, 476, 2412, 2395, 563, 273, 269, 1548, 729, 23718, 781, 5172, 4884, 538, 17857, 888, 6262, 264, 6307, 338, 16011, 563, 274, 269, 1215, 1279, 1705, 621, 1491, 585, 519, 8187, 619, 547, 2951, 998, 27228, 888, 5416, 264, 476, 274, 4374, 563, 6357, 264, 476, 272, 3018, 563, 6262, 264, 476, 273, 4374, 563, 5560, 264, 476, 275, 4374, 563, 275, 269, 1548, 1705, 519, 8187, 619, 798, 950, 789, 11074, 609, 519, 8225, 4807, 888, 5416, 264, 590, 836, 8964, 563, 6357, 264, 3680, 539, 1142, 824, 563, 6262, 264, 4210, 11474, 2984, 563, 5560, 264, 22307, 7727, 563, 276, 269, 1548, 4984, 941, 519, 1004, 538, 853, 269, 6307, 338, 888, 14112, 8382, 5999, 454, 272, 269, 7316, 1705, 14986, 781, 3237, 1205, 9310, 888, 273, 269, 6904, 540, 519, 1739, 729, 10691, 513, 2165, 1031, 676, 23718, 547, 4766, 519, 10034, 538, 16713, 888, 274, 269, 4208, 1705, 23718, 899, 519, 10754, 538, 570, 2100, 6390, 888, 275, 269, 1215, 1082, 834, 29309, 257, 2829, 1705, 14986, 917, 827, 693, 519, 4098, 540, 519, 1433, 888, 276, 269, 1548, 1705, 519, 2831, 17444, 519, 530, 30368, 1205, 2759, 593, 12212, 888, 1607, 3296, 3568, 476, 15876, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 10112, 9892, 281, 8835, 12472, 454, 303, 17123, 901, 7084, 568, 5497, 547, 948, 1053, 2744, 513, 1732, 1620, 540, 519, 2956, 540, 1344, 1949, 547, 1870, 676, 3168, 693, 606, 2872, 6205, 267, 8835, 2593, 269, 4841, 786, 4983, 2549, 1794, 976, 4295, 4640, 543, 519, 946, 540, 922, 5318, 6075, 6538, 607, 519, 2754, 27372, 689, 1433, 31805, 547, 3028, 8502, 563, 4910, 1545, 4985, 547, 6176, 7010, 281, 25417, 543, 3690, 14127, 6355, 563, 5649, 519, 8865, 5530, 267, 8835, 281, 3245, 3883, 590, 11839, 547, 6796, 3038, 3187, 267, 693, 519, 1439, 540, 932, 269, 476, 272, 538, 519, 1257, 630, 335, 269, 476, 2918, 1916, 2237, 513, 476, 12573, 268, 547, 476, 10384, 30087, 1957, 267, 10503, 2549, 1794, 976, 4640, 269, 9181, 2436, 519, 2754, 568, 3001, 2476, 689, 922, 4295, 28671, 540, 1373, 513, 3056, 2228, 10685, 518, 269, 9181, 2436, 713, 568, 513, 8797, 4640, 543, 2232, 519, 1739, 281, 14674, 519, 3334, 540, 519, 8835, 6538, 543, 875, 8835, 3096, 1142, 5057, 269, 1548, 1239, 2359, 2152, 949, 581, 11402, 676, 8835, 286, 14674, 519, 2078, 1851, 1239, 267, 1344, 267, 543, 1702, 267, 543, 875, 8835, 9607, 1142, 563, 19723, 1881, 16869, 8382, 4534, 2382, 656, 8281, 454, 1320, 3518, 333, 841, 540, 1101, 2985, 454, 1262, 321, 1245, 1262, 267, 547, 2328, 513, 2979, 3830, 946, 267, 585, 1383, 267, 0, 27893, 540, 1101, 2479, 2387, 323, 652, 10614, 319, 28661, 11495, 3047, 1336, 454, 29910, 281, 12824, 723, 4362, 519, 1101, 2479, 2963, 540, 513, 28661, 10024, 3047, 26141, 5790, 543, 1011, 5317, 267, 986, 1456, 1524, 513, 8710, 5951, 540, 3595, 602, 21933, 3438, 730, 1169, 1272, 1106, 538, 922, 2619, 563, 763, 6602, 814, 711, 1152, 3177, 519, 1101, 17046, 6169, 540, 513, 28661, 11495, 3047, 267, 6634, 540, 1296, 3516, 267, 855, 621, 1223, 849, 948, 721, 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 ]
[ 1913, 3357, 856, 538, 1857, 269, 962, 1342, 880, 14786, 543, 17476, 7902, 269, 962, 1342, 880, 16222, 729, 10393, 1318, 972, 538, 741, 22984, 269, 4634, 593, 5925, 585, 513, 5618, 1974, 1169, 1554, 267, 835, 1223, 5873, 962, 1342, 880, 1007, 2675, 6814, 543, 2575, 16555, 269, 2060, 519, 12625, 540, 646, 2717, 525, 267, 547, 581, 513, 4035, 538, 29258, 3576, 593, 1007, 2495, 563, 5278, 3275, 1354, 23421, 4498, 13118, 267, 538, 519, 3735, 4832, 540, 476, 3707, 272, 267, 26081, 5341, 13924, 6447, 619, 1544, 585, 519, 2698, 3045, 8811, 7976, 540, 519, 3003, 6014, 1004, 1185, 1044, 16175, 7550, 607, 13303, 3609, 269, 769, 1169, 2197, 1141, 7642, 941, 1336, 267, 789, 941, 547, 581, 521, 26661, 856, 540, 519, 2489, 2551, 543, 608, 32558, 730, 269, 769, 5147, 476, 3707, 273, 267, 18747, 538, 1688, 267, 2725, 2358, 518, 4604, 539, 513, 26747, 585, 19519, 7345, 585, 519, 7552, 547, 29258, 269, 1879, 646, 8452, 693, 519, 5545, 3117, 3634, 267, 646, 1500, 713, 16252, 563, 2467, 616, 1631, 538, 29258, 267, 936, 476, 1704, 267, 1822, 7642, 945, 723, 6074, 547, 4734, 519, 4651, 1633, 269, 769, 5130, 540, 713, 1032, 267, 519, 5125, 2229, 1360, 20617, 27226, 891, 911, 6002, 540, 741, 15114, 269, 1358, 616, 14763, 540, 519, 4436, 1533, 543, 1761, 26453, 1774, 2720, 1996, 596, 267, 938, 24343, 269, 1280, 519, 1434, 610, 938, 19710, 267, 649, 9244, 1745, 602, 519, 3003, 6014, 20575, 1590, 581, 16701, 5344, 689, 29258, 269, 1411, 991, 711, 5855, 827, 519, 11707, 267, 649, 786, 6023, 782, 519, 3877, 269, 1411, 786, 8806, 28231, 519, 12587, 540, 707, 2978, 2293, 281, 596, 786, 27836, 3388, 519, 7642, 27057, 1378, 543, 1852, 563, 5445, 9709, 547, 5180, 873, 909, 689, 741, 14271, 698, 690, 1132, 593, 519, 6014, 1715, 5729, 267, 799, 729, 593, 519, 10543, 540, 5181, 476, 272, 560, 563, 763, 21470, 4211, 976, 592, 540, 3567, 6004, 1744, 756, 1092, 1223, 660, 1491, 1010, 4064, 1055, 2725, 529, 10152, 267, 945, 4330, 1896, 6901, 602, 1185, 1044, 25282, 693, 19161, 523, 5174, 1564, 523, 269, 1744, 756, 1092, 729, 513, 6505, 8284, 267, 543, 646, 729, 28280, 269, 1261, 729, 5432, 609, 519, 2990, 540, 519, 15076, 267, 543, 875, 602, 2990, 1185, 14016, 730, 269, 1809, 713, 286, 7316, 729, 519, 24134, 585, 4376, 899, 713, 888, 3891, 4682, 547, 1294, 835, 540, 519, 2367, 646, 1034, 25343, 538, 29258, 1234, 889, 523, 14062, 630, 3240, 11299, 23013, 1040, 6004, 14062, 267, 646, 6368, 20747, 1540, 856, 267, 649, 723, 547, 2911, 267, 594, 18085, 2285, 596, 1022, 3877, 267, 855, 519, 7642, 538, 29258, 616, 538, 646, 6574, 8594, 269, 7490, 267, 649, 1590, 723, 513, 5870, 4166, 267, 9522, 697, 267, 14182, 693, 519, 5767, 269, 14062, 1767, 267, 29139, 697, 543, 14182, 616, 519, 590, 30117, 267, 596, 917, 269, 634, 590, 30117, 568, 513, 1554, 540, 2868, 1465, 267, 513, 1554, 540, 1964, 563, 16031, 14062, 267, 713, 568, 711, 513, 1514, 11018, 269, 898, 568, 513, 2339, 540, 1272, 543, 2669, 585, 782, 519, 7642, 1934, 269, 6004, 14062, 1152, 695, 809, 1010, 2212, 269, 4706, 811, 982, 519, 4035, 7863, 519, 590, 30117, 267, 6004, 1744, 756, 1092, 282, 519, 590, 30117, 14014, 519, 4035, 563, 16031, 1744, 756, 1092, 5433, 646, 1185, 547, 798, 1945, 269, 1261, 5679, 18088, 593, 519, 7450, 540, 6004, 32762, 15917, 574, 267, 945, 729, 1447, 7453, 538, 1010, 2616, 766, 540, 519, 590, 30117, 563, 15900, 519, 1739, 1554, 5722, 2367, 267, 8204, 519, 9484, 14551, 328, 1895, 630, 292, 961, 529, 15917, 574, 543, 7812, 4325, 601, 2006, 1070, 519, 6739, 630, 289, 528, 529, 5440, 553, 543, 9478, 9779, 12027, 1070, 543, 519, 4436, 7642, 630, 7804, 918, 731, 1122, 326, 267, 674, 761, 345, 918, 31348, 2006, 543, 7917, 3131, 6308, 264, 1558, 269, 1306, 1744, 756, 1092, 4330, 519, 3877, 540, 2725, 529, 12310, 5870, 267, 519, 5790, 540, 519, 4055, 8057, 18219, 269, 634, 7642, 941, 8087, 538, 9810, 563, 5445, 4956, 547, 6494, 2576, 2362, 5346, 547, 519, 14579, 12080, 11347, 269, 1677, 1118, 513, 1279, 1650, 2110, 267, 519, 918, 655, 701, 527, 2967, 8783, 267, 950, 646, 4862, 1018, 1185, 1044, 6700, 267, 2746, 539, 609, 535, 1722, 269, 5808, 1185, 1767, 971, 513, 3364, 286, 7316, 1185, 646, 3893, 1010, 1344, 286, 6833, 337, 1881, 267, 519, 812, 26582, 519, 6014, 3401, 269, 10738, 476, 4366, 3108, 267, 519, 13030, 15926, 592, 1744, 756, 1092, 543, 1346, 5722, 2367, 267, 941, 18486, 267, 543, 2322, 883, 15167, 5600, 29277, 269, 634, 15265, 2126, 789, 11124, 568, 2854, 538, 519, 1433, 267, 634, 674, 30253, 4643, 267, 676, 9410, 15480, 9707, 543, 6307, 15223, 3200, 345, 269, 2991, 4374, 540, 10726, 902, 267, 1744, 756, 1092, 729, 1244, 9285, 538, 17847, 1394, 547, 19519, 267, 896, 519, 3463, 540, 7525, 11056, 952, 646, 865, 1454, 607, 1305, 3723, 538, 3624, 538, 519, 1985, 476, 2004, 1296, 269, 634, 5722, 2146, 3401, 941, 27052, 16094, 267, 855, 789, 941, 711, 13401, 269, 6969, 1373, 15685, 267, 1142, 729, 16271, 547, 513, 29523, 11000, 676, 519, 7890, 1583, 613, 656, 269, 1215, 1223, 596, 3494, 971, 20060, 1619, 267, 602, 649, 5545, 1131, 2800, 596, 286, 1284, 616, 707, 2828, 269, 1284, 723, 2141, 5701, 596, 1134, 269, 3767, 979, 798, 711, 3262, 1022, 811, 7301, 15555, 2293, 269, 1656, 2995, 707, 1071, 3146, 5554, 542, 1235, 602, 1100, 2800, 786, 2097, 547, 873, 689, 519, 5545, 269, 1656, 9039, 1705, 269, 1744, 756, 1092, 1185, 1044, 796, 3772, 538, 1010, 3355, 5114, 547, 2725, 2358, 619, 18747, 269, 6215, 5922, 532, 519, 7642, 540, 29258, 1705, 711, 7703, 29506, 2358, 676, 19519, 269, 2725, 2358, 619, 5326, 729, 798, 15701, 269, 4634, 547, 13918, 1200, 24343, 267, 519, 5545, 2229, 729, 31464, 547, 4497, 538, 513, 3803, 3070, 563, 763, 5545, 1705, 711, 4163, 856, 513, 533, 690, 668, 3079, 789, 2813, 519, 1101, 6014, 575, 2867, 1729, 538, 5607, 563, 1103, 476, 3707, 273, 267, 1250, 3735, 4651, 267, 6004, 24381, 823, 667, 836, 3233, 267, 729, 11221, 5518, 540, 519, 9484, 14551, 328, 7991, 267, 543, 782, 998, 519, 2112, 646, 1185, 547, 2285, 519, 5545, 10865, 6898, 540, 4747, 543, 18820, 269, 1261, 729, 1572, 689, 942, 547, 942, 547, 1585, 13623, 543, 16271, 547, 10478, 2055, 827, 519, 7991, 269, 634, 6739, 7642, 7283, 1863, 547, 798, 1870, 267, 607, 6576, 9411, 519, 2112, 1152, 513, 2110, 942, 1354, 519, 1439, 540, 519, 2112, 563, 297, 846, 325, 1855, 14150, 1695, 338, 4651, 729, 5518, 540, 519, 12891, 5287, 21532, 7991, 269, 1261, 267, 9478, 267, 2968, 519, 18303, 19264, 26513, 547, 519, 2136, 8315, 267, 543, 1287, 26554, 27891, 540, 519, 5484, 717, 584, 542, 2160, 269, 1261, 5747, 538, 476, 1960, 273, 269, 3807, 1354, 519, 2112, 827, 476, 7742, 14470, 7642, 10362, 547, 519, 631, 790, 337, 8786, 327, 10216, 8452, 538, 29258, 269, 898, 729, 835, 540, 519, 1034, 1271, 8786, 3031, 553, 538, 12996, 269, 1358, 782, 6594, 519, 13669, 31053, 519, 2898, 1554, 543, 476, 2568, 610, 476, 3583, 540, 873, 1223, 973, 924, 519, 20770, 1014, 13669, 31053, 676, 2295, 563, 763, 9484, 14551, 328, 7991, 5795, 873, 513, 14271, 698, 4084, 634, 21861, 589, 9618, 517, 585, 741, 2090, 269, 2991, 519, 2112, 713, 8786, 3031, 320, 4682, 547, 7017, 538, 3013, 563, 763, 17434, 17392, 540, 3013, 2366, 10865, 948, 547, 782, 4436, 7642, 269, 634, 7330, 6554, 4847, 519, 17434, 547, 6494, 998, 16848, 2475, 1269, 1789, 267, 1822, 10865, 269, 6271, 1977, 18179, 5980, 2366, 10865, 948, 547, 519, 8786, 3031, 320, 563, 763, 4436, 7642, 941, 5280, 26672, 573, 569, 676, 519, 17434, 269, 1358, 1185, 741, 4004, 531, 28881, 267, 11233, 267, 631, 24471, 11233, 543, 14271, 698, 4084, 269, 3807, 1354, 519, 2112, 6004, 9710, 864, 918, 611, 3233, 773, 267, 5067, 540, 11184, 4432, 569, 918, 611, 3233, 773, 267, 6394, 2724, 267, 6140, 689, 519, 9484, 14551, 529, 267, 543, 3710, 513, 1153, 538, 15173, 651, 342, 585, 476, 7785, 1453, 267, 799, 693, 519, 1482, 942, 2968, 513, 4004, 531, 10418, 585, 10632, 267, 19270, 1068, 338, 543, 1082, 824, 4004, 531, 2238, 269, 10251, 646, 5747, 5063, 267, 865, 1705, 1010, 7015, 267, 11184, 19846, 1338, 918, 611, 3233, 773, 563, 5475, 476, 4489, 271, 519, 20045, 24863, 14508, 7991, 729, 13166, 22555, 607, 519, 29258, 6014, 7991, 5948, 563, 15900, 538, 519, 476, 736, 628, 2540, 15999, 14271, 698, 690, 1132, 941, 3710, 269, 634, 744, 3559, 24981, 14271, 698, 4084, 267, 676, 11184, 15243, 590, 553, 22792, 267, 3957, 1310, 1010, 7385, 15248, 24981, 267, 540, 25512, 599, 267, 630, 1492, 31225, 540, 6004, 3131, 1097, 717, 28123, 344, 1040, 3733, 9393, 543, 594, 10272, 621, 538, 2904, 476, 2735, 280, 267, 1175, 1354, 519, 3978, 8373, 538, 3624, 269, 898, 568, 1631, 606, 4065, 10418, 585, 519, 4457, 267, 543, 649, 941, 538, 5905, 609, 513, 4457, 7905, 267, 945, 729, 3843, 547, 2307, 519, 8128, 547, 2322, 513, 15799, 267, 6031, 602, 621, 729, 19497, 513, 6014, 14271, 698, 4084, 269, 634, 824, 14271, 698, 4084, 729, 519, 2142, 527, 589, 9618, 517, 267, 3710, 676, 590, 961, 553, 10434, 3019, 269, 634, 26442, 571, 543, 10434, 3019, 3885, 3323, 519, 29258, 6014, 3427, 16172, 1310, 476, 5002, 271, 267, 543, 9565, 7642, 8547, 519, 29258, 6014, 11833, 563, 296, 723, 4862, 621, 2854, 602, 519, 590, 27591, 976, 941, 865, 1134, 8153, 693, 602, 942, 602, 741, 2012, 729, 1031, 676, 519, 4457, 585, 782, 519, 7642, 269, 1306, 538, 513, 1650, 22281, 539, 676, 18832, 14979, 654, 2795, 540, 513, 4457, 22700, 7713, 6153, 11016, 547, 513, 3659, 269, 7089, 2290, 590, 553, 22792, 4991, 562, 9229, 547, 513, 3444, 267, 543, 824, 590, 27591, 976, 1205, 14220, 563, 763, 9484, 14551, 328, 7642, 13671, 538, 29258, 1310, 519, 7991, 546, 13388, 1194, 538, 15173, 15158, 1317, 540, 922, 1447, 2989, 5010, 2956, 269, 1358, 941, 513, 804, 2335, 880, 2603, 267, 789, 6404, 2370, 609, 519, 6739, 7642, 267, 4352, 519, 8545, 941, 711, 3500, 547, 3082, 2933, 547, 519, 1007, 3510, 267, 543, 3533, 4121, 2296, 267, 3976, 2792, 609, 824, 7642, 2968, 4443, 269, 1809, 519, 1453, 540, 1312, 2950, 13984, 519, 6014, 1153, 267, 799, 729, 5342, 676, 9484, 14551, 574, 267, 1082, 540, 873, 4095, 4535, 855, 12925, 328, 538, 5169, 267, 609, 513, 6404, 5234, 540, 2296, 5443, 543, 7642, 267, 519, 1893, 540, 6044, 1373, 2296, 563, 763, 14271, 698, 4084, 729, 519, 8998, 540, 6014, 1272, 538, 519, 4505, 2395, 269, 634, 2142, 527, 589, 9618, 517, 14271, 698, 4084, 729, 3957, 1310, 519, 3818, 2173, 11669, 18311, 8125, 553, 10434, 3019, 945, 1185, 3177, 519, 7482, 269, 769, 1010, 4473, 547, 5763, 538, 29258, 267, 10434, 3019, 729, 7415, 269, 20323, 4947, 547, 29258, 607, 513, 9614, 540, 835, 540, 519, 1082, 590, 553, 22792, 13646, 972, 267, 10434, 3019, 1705, 1870, 593, 1010, 1378, 593, 519, 2427, 267, 543, 2663, 13264, 2476, 269, 1261, 13671, 593, 1483, 10040, 543, 538, 1346, 2038, 2395, 540, 519, 476, 736, 628, 2540, 646, 11751, 4729, 1310, 4729, 540, 2244, 538, 1018, 729, 547, 1831, 6305, 3959, 538, 1524, 2389, 1144, 29258, 563, 1607, 9490, 7209, 729, 1945, 540, 513, 556, 743, 2224, 543, 646, 5030, 1152, 585, 1010, 1870, 269, 1280, 1296, 10434, 3019, 1185, 2370, 547, 798, 609, 824, 7642, 269, 1261, 13984, 14271, 698, 4084, 5781, 855, 5795, 2370, 547, 519, 18497, 9221, 269, 769, 1010, 1647, 2085, 646, 9310, 513, 4457, 4807, 267, 855, 972, 941, 1100, 1453, 269, 6969, 646, 3710, 519, 14271, 698, 4084, 267, 646, 1185, 7550, 476, 1556, 1453, 267, 930, 540, 873, 6014, 269, 10434, 3019, 5747, 538, 519, 476, 4350, 271, 338, 543, 729, 1287, 6059, 547, 581, 4502, 1472, 1269, 2568, 2929, 267, 513, 9735, 2040, 693, 602, 942, 563, 2691, 1250, 9393, 543, 594, 10272, 29258, 538, 2904, 476, 2735, 280, 267, 1175, 1354, 519, 570, 4883, 29546, 12384, 7136, 21492, 267, 972, 941, 1152, 12560, 23405, 2921, 1747, 563, 2690, 803, 621, 729, 513, 3406, 585, 1250, 5072, 519, 5321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2918, 264, 547, 661, 269, 5485, 10420, 2088, 941, 6738, 538, 513, 1494, 4693, 538, 13339, 28119, 5757, 5070, 267, 609, 630, 31333, 266, 264, 543, 1510, 630, 31333, 268, 264, 7513, 3623, 6510, 269, 10572, 3791, 1128, 541, 16793, 941, 16876, 593, 519, 10931, 2117, 2033, 31537, 693, 1614, 1634, 8023, 4609, 630, 29566, 5229, 267, 3597, 6512, 543, 2028, 1712, 264, 543, 2451, 547, 3049, 585, 476, 2641, 2395, 269, 476, 274, 269, 661, 671, 3570, 5485, 10420, 2088, 12586, 1998, 9843, 941, 15841, 593, 20839, 338, 267, 609, 519, 8260, 17156, 20218, 23276, 543, 13227, 1117, 896, 513, 17655, 6475, 17209, 269, 13495, 24212, 5957, 729, 6027, 689, 519, 3059, 2592, 1210, 519, 1505, 540, 8055, 1696, 620, 269, 630, 1220, 278, 1040, 476, 275, 269, 4014, 972, 729, 513, 7678, 585, 2799, 5957, 538, 16793, 602, 2919, 593, 13961, 266, 29647, 267, 1100, 1713, 1198, 540, 13339, 267, 5252, 541, 610, 3135, 593, 8260, 24212, 5957, 540, 661, 269, 5485, 10420, 2088, 729, 3254, 269, 476, 276, 269, 901, 568, 519, 1101, 1353, 547, 8308, 543, 11050, 569, 2268, 519, 8260, 24212, 5957, 540, 606, 5521, 10480, 593, 13961, 266, 2371, 563, 3725, 2106, 9529, 267, 744, 1421, 1635, 337, 928, 267, 631, 1421, 3213, 4861, 525, 267, 715, 1421, 1299, 18227, 267, 631, 269, 630, 1220, 280, 1040, 21478, 540, 2030, 13339, 543, 10931, 2117, 2033, 5252, 541, 593, 8260, 24212, 5957, 538, 519, 31537, 16004, 337, 661, 671, 3570, 5485, 10420, 2088, 269, 16581, 543, 11206, 9980, 558, 1108, 267, 476, 1556, 263, 274, 1070, 476, 22145, 268, 27420, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 16409, 272, 268, 4817, 277, 274, 269, 1220, 280, 269, 21916, 1789, 11859, 0, 4572, 271, 630, 10157, 300, 18958, 264, 729, 513, 20014, 1032, 4358, 593, 13628, 540, 519, 15535, 20187, 11706, 543, 513, 20014, 1032, 4358, 593, 13723, 540, 519, 30486, 11706, 267, 519, 476, 4572, 271, 628, 1032, 540, 519, 5871, 16527, 630, 4753, 264, 543, 1323, 7224, 12358, 7236, 630, 4696, 264, 1374, 725, 267, 519, 476, 280, 736, 628, 1032, 540, 519, 476, 273, 526, 26992, 267, 519, 476, 736, 628, 1032, 540, 519, 476, 736, 628, 2540, 267, 543, 519, 476, 272, 560, 1032, 540, 519, 476, 4572, 271, 338, 8717, 563, 268, 14470, 1700, 306, 990, 2884, 2782, 538, 476, 4572, 271, 454, 306, 990, 2884, 17086, 538, 2038, 476, 4572, 271, 269, 8168, 4229, 1185, 4465, 513, 2487, 2483, 268, 14470, 1700, 306, 990, 2884, 2782, 538, 476, 4572, 271, 454, 10144, 849, 2307, 454, 1432, 568, 519, 1158, 540, 476, 4572, 271, 888, 8005, 18799, 519, 476, 4572, 271, 21396, 888, 1432, 729, 519, 2012, 540, 519, 476, 4572, 271, 338, 3756, 888, 8005, 568, 4670, 8689, 540, 476, 4572, 271, 4670, 888, 18907, 476, 1428, 1107, 476, 4572, 271, 667, 592, 3578, 561, 2106, 577, 902, 281, 8422, 3979, 4892, 616, 16204, 2426, 689, 21569, 543, 561, 2106, 3481, 676, 513, 3043, 4254, 538, 667, 592, 3578, 267, 16506, 269, 4873, 476, 2641, 1107, 634, 476, 275, 269, 280, 631, 700, 16016, 548, 6229, 13091, 695, 1389, 519, 11968, 13353, 9351, 609, 513, 5021, 30330, 718, 328, 8515, 540, 24163, 630, 5353, 3164, 1070, 4929, 811, 982, 1269, 1911, 267, 1822, 538, 3441, 269, 5147, 269, 5147, 476, 272, 1107, 634, 744, 24660, 4006, 10880, 540, 476, 4572, 271, 7475, 563, 763, 476, 4572, 271, 2136, 2276, 16232, 9550, 729, 519, 476, 4097, 628, 22712, 1066, 333, 658, 16232, 9550, 267, 4371, 593, 13638, 267, 5437, 476, 273, 267, 476, 4572, 271, 563, 268, 476, 5392, 269, 273, 260, 476, 1321, 269, 275, 6032, 454, 268, 11879, 21200, 454, 1607, 2376, 2115, 3606, 14327, 585, 19027, 269, 7490, 948, 2087, 713, 2376, 676, 4946, 14327, 547, 6325, 2959, 269, 24296, 712, 1027, 1570, 949, 581, 13934, 543, 6569, 269, 4855, 2959, 281, 834, 4572, 271, 257, 4670, 1107, 3377, 5788, 14786, 5788, 2835, 5788, 16159, 5788, 808, 4306, 3036, 476, 4572, 271, 8871, 10899, 5305, 16968, 6034, 539, 676, 309, 1731, 1090, 645, 1002, 339, 21277, 1027, 676, 306, 675, 526, 571, 1744, 12609, 13225, 698, 342, 10620, 18637, 3757, 328, 589, 2466, 320, 645, 880, 7224, 328, 18838, 676, 294, 597, 880, 667, 5069, 6359, 320, 24897, 2452, 676, 309, 1731, 1090, 645, 1002, 339, 667, 515, 518, 1690, 681, 3430, 534, 9452, 676, 309, 1731, 1090, 645, 1002, 339, 853, 18732, 305, 1690, 928, 21983, 667, 10212, 531, 1520, 1695, 2483, 17445, 528, 23819, 1090, 645, 1002, 339, 781, 3105, 8874, 589, 777, 16334, 329, 515, 21926, 3832, 20698, 928, 700, 720, 267, 1546, 1168, 2033, 13535, 6614, 14529, 698, 531, 543, 5020, 2725, 514, 28763, 327, 773, 28763, 327, 773, 324, 941, 17941, 607, 4216, 11325, 823, 14286, 538, 519, 2923, 269, 24935, 538, 1351, 13681, 2610, 267, 645, 1002, 339, 5433, 519, 991, 585, 26126, 585, 1818, 21016, 2425, 1113, 21576, 269, 3571, 1616, 547, 1118, 513, 16897, 4670, 6565, 4364, 689, 519, 23877, 540, 513, 669, 926, 582, 14964, 998, 519, 5134, 602, 7683, 5129, 538, 1010, 2247, 269, 28787, 532, 621, 547, 581, 1010, 1034, 16529, 1788, 547, 4266, 267, 645, 1002, 339, 3576, 513, 1032, 543, 513, 3368, 547, 2347, 519, 7097, 454, 288, 6995, 2389, 762, 1433, 267, 609, 31851, 543, 538, 3829, 1469, 827, 519, 4670, 267, 729, 9250, 1991, 547, 519, 4670, 781, 5305, 269, 645, 1002, 339, 2219, 602, 519, 5304, 786, 1265, 621, 1732, 547, 1224, 827, 519, 4670, 1354, 922, 5305, 269, 634, 4670, 729, 5950, 593, 476, 1321, 5181, 476, 1220, 279, 563, 763, 4670, 6591, 6404, 8039, 689, 13915, 269, 21208, 1002, 20673, 14741, 540, 634, 8648, 540, 3127, 29499, 602, 1520, 1695, 1744, 12609, 834, 23437, 1392, 513, 2204, 22940, 2773, 2668, 12891, 758, 715, 599, 752, 689, 1631, 337, 7342, 2593, 5206, 281, 834, 4572, 271, 3085, 1405, 4383, 547, 3180, 707, 3007, 2429, 269, 898, 781, 17559, 538, 2694, 543, 16168, 693, 2053, 269, 5213, 1405, 2503, 1454, 693, 519, 4216, 11325, 823, 8487, 268, 6468, 781, 5957, 454, 268, 22960, 7506, 543, 3466, 454, 268, 4518, 9660, 454, 763, 476, 4572, 271, 338, 538, 5375, 6752, 4718, 513, 30222, 269, 1280, 2021, 267, 6752, 1185, 4797, 547, 1689, 2476, 689, 519, 3063, 341, 698, 656, 543, 25516, 6163, 540, 519, 16972, 543, 11977, 1014, 5712, 267, 543, 2509, 3138, 29141, 7802, 799, 7000, 811, 540, 519, 7916, 543, 7953, 267, 602, 1185, 13175, 693, 2547, 513, 8717, 1991, 609, 519, 8375, 540, 8280, 6050, 547, 519, 21721, 543, 519, 3350, 689, 519, 590, 1532, 754, 524, 832, 564, 547, 519, 6241, 541, 3623, 17924, 8291, 540, 519, 476, 4489, 271, 338, 269, 9093, 849, 3459, 547, 5957, 1447, 6101, 3232, 30933, 543, 18942, 7802, 610, 1412, 306, 1636, 1873, 792, 262, 536, 454, 5475, 2622, 2782, 594, 267, 519, 2136, 2276, 9411, 513, 25133, 5736, 543, 267, 607, 513, 1267, 540, 922, 1909, 538, 519, 2112, 267, 3357, 856, 5196, 519, 1158, 3942, 269, 4317, 9821, 543, 26069, 941, 17159, 538, 519, 27277, 4547, 593, 676, 519, 1439, 540, 519, 2112, 543, 519, 1630, 4040, 540, 519, 6006, 2344, 269, 6468, 941, 10024, 519, 13781, 538, 2594, 2338, 269, 769, 519, 2136, 2276, 267, 972, 729, 519, 15357, 618, 540, 519, 476, 1240, 628, 14821, 267, 610, 607, 1082, 917, 621, 267, 1160, 22128, 267, 538, 476, 4572, 271, 269, 1160, 22128, 7150, 602, 621, 1131, 581, 10363, 547, 6133, 543, 8532, 4568, 269, 901, 454, 13640, 529, 1305, 519, 6752, 3466, 585, 2342, 543, 3345, 3013, 269, 634, 6752, 585, 2021, 729, 782, 827, 15603, 10690, 269, 6468, 20595, 32293, 782, 1554, 267, 4948, 269, 4303, 32293, 1185, 513, 6749, 22765, 267, 799, 729, 513, 12966, 1472, 519, 1970, 22765, 610, 12048, 543, 513, 1236, 7398, 602, 8288, 9170, 689, 519, 21721, 593, 909, 547, 519, 12597, 267, 2760, 1657, 269, 4303, 18875, 1185, 19492, 1407, 543, 513, 1236, 7398, 602, 729, 2786, 267, 5418, 730, 267, 554, 1678, 8280, 267, 610, 27764, 1229, 269, 22458, 729, 1419, 27342, 5523, 267, 4758, 513, 7911, 880, 1413, 269, 1849, 5847, 535, 1662, 687, 4957, 609, 2021, 781, 4657, 5107, 538, 2486, 267, 1300, 340, 454, 1103, 544, 839, 18875, 267, 972, 941, 1079, 3982, 5712, 538, 519, 476, 4572, 271, 338, 269, 10801, 519, 8717, 267, 2367, 20595, 2110, 9290, 13544, 1115, 267, 519, 2025, 1279, 13544, 1115, 1373, 1031, 8806, 585, 6101, 14026, 269, 769, 519, 2038, 476, 4572, 271, 338, 267, 2367, 781, 6752, 729, 6353, 676, 5393, 1164, 2914, 320, 13554, 13544, 1115, 267, 1419, 12816, 609, 26797, 269, 700, 777, 1564, 593, 9290, 13544, 1115, 941, 711, 1360, 2647, 607, 789, 22157, 547, 581, 7735, 539, 909, 1164, 269, 901, 2511, 540, 29075, 4667, 547, 723, 1044, 7494, 6766, 676, 519, 26977, 12816, 676, 519, 4108, 1282, 519, 3689, 2622, 2782, 269, 570, 9317, 619, 941, 454, 7628, 519, 476, 4572, 271, 338, 267, 519, 10206, 540, 5329, 909, 609, 6752, 3466, 543, 11589, 13951, 998, 1570, 5370, 25868, 1647, 11665, 4892, 607, 2760, 1354, 269, 623, 3420, 2084, 1007, 9660, 267, 1007, 14233, 267, 1007, 26873, 267, 1007, 4376, 8612, 835, 781, 1377, 540, 13884, 269, 9861, 2808, 2025, 1922, 5831, 539, 267, 856, 6361, 15082, 267, 610, 1765, 342, 16017, 2943, 1765, 684, 762, 547, 6488, 31042, 1007, 2472, 729, 513, 12556, 1082, 4892, 4682, 547, 1390, 13080, 547, 2057, 269, 1280, 2021, 267, 3068, 267, 4137, 267, 1071, 858, 675, 267, 14302, 267, 543, 25462, 1185, 1831, 4429, 2690, 2324, 1362, 2021, 538, 519, 476, 4572, 271, 338, 267, 3358, 17015, 609, 513, 2786, 267, 7455, 1447, 2759, 941, 2442, 269, 10801, 519, 8717, 267, 519, 13080, 540, 1236, 16630, 941, 4473, 547, 519, 12597, 543, 1287, 547, 519, 21721, 1585, 2053, 7133, 519, 1236, 7398, 2511, 540, 3358, 17015, 269, 14105, 517, 267, 606, 5841, 16536, 5958, 267, 729, 1034, 1455, 585, 2324, 11665, 2021, 7802, 563, 763, 476, 4572, 271, 14400, 21396, 267, 13166, 1634, 607, 519, 10632, 540, 519, 23446, 10493, 328, 611, 267, 941, 606, 3486, 3818, 1606, 1636, 2680, 538, 476, 4572, 271, 538, 4165, 4546, 335, 267, 19934, 269, 769, 4728, 476, 4489, 273, 267, 1282, 519, 476, 1724, 628, 8400, 540, 519, 594, 8016, 267, 19934, 781, 19915, 547, 3984, 519, 476, 4572, 271, 14400, 21396, 729, 1500, 676, 31578, 27878, 323, 537, 731, 632, 700, 1511, 2917, 324, 267, 7022, 540, 519, 32068, 16727, 9730, 543, 540, 519, 9576, 32068, 25624, 5948, 269, 3143, 6378, 3984, 2749, 729, 6069, 693, 519, 942, 269, 634, 476, 4489, 277, 14400, 21396, 267, 547, 581, 4371, 538, 12670, 267, 3854, 540, 519, 4436, 7276, 4429, 763, 11135, 540, 32160, 267, 849, 1634, 607, 519, 21001, 2193, 540, 519, 966, 626, 3121, 267, 729, 513, 3126, 540, 12959, 602, 8507, 538, 513, 23801, 14470, 11802, 538, 476, 4572, 271, 1282, 519, 14470, 1700, 306, 990, 2884, 2782, 269, 12996, 267, 593, 519, 2357, 613, 540, 2698, 14710, 267, 1065, 6160, 539, 543, 17204, 519, 4414, 8136, 538, 1018, 32157, 22255, 514, 267, 519, 12157, 9917, 341, 1731, 6205, 267, 1572, 834, 534, 11999, 14710, 257, 585, 1010, 4229, 269, 2991, 519, 14470, 918, 773, 341, 5510, 2400, 267, 8168, 4229, 9250, 513, 3811, 4831, 3430, 871, 538, 4832, 476, 4572, 271, 267, 16550, 519, 14470, 7952, 547, 18956, 31023, 538, 771, 6783, 269, 634, 4429, 22873, 6053, 267, 519, 476, 4572, 271, 266, 1788, 729, 1759, 593, 543, 6273, 676, 519, 14470, 5174, 565, 9917, 341, 1731, 2782, 1993, 476, 4572, 271, 630, 21938, 476, 4489, 280, 910, 4728, 476, 4572, 272, 1040, 901, 2112, 267, 543, 519, 11135, 540, 32160, 267, 568, 2808, 676, 1082, 12206, 547, 581, 835, 540, 519, 1034, 1271, 538, 519, 1686, 540, 519, 1158, 269, 898, 12012, 519, 1576, 540, 3864, 1686, 543, 10300, 1540, 519, 4414, 7169, 543, 519, 12157, 9917, 12858, 802, 262, 15292, 547, 519, 4639, 269, 898, 3576, 1390, 4674, 543, 15093, 267, 855, 12996, 7307, 547, 3035, 621, 538, 1175, 1079, 1296, 1310, 1036, 8724, 7115, 269, 21452, 267, 1906, 1004, 538, 519, 4639, 917, 827, 891, 2621, 267, 4849, 585, 1686, 10889, 338, 269, 898, 729, 849, 519, 2063, 2112, 6025, 5281, 856, 711, 1317, 519, 32228, 2103, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 614, 267, 568, 513, 18228, 3060, 602, 11507, 1239, 21168, 998, 513, 3126, 540, 15321, 268, 6016, 730, 13763, 1572, 9136, 610, 882, 904, 269, 1635, 3257, 865, 267, 621, 25848, 999, 519, 5169, 540, 519, 1239, 3850, 3755, 547, 2611, 20822, 1247, 17034, 7270, 267, 11488, 15737, 267, 610, 2502, 538, 1022, 2228, 2534, 269, 1717, 267, 519, 9949, 12122, 540, 519, 570, 3036, 3060, 568, 1419, 17808, 610, 13042, 607, 19035, 676, 4950, 3028, 7426, 630, 3041, 11679, 264, 610, 2228, 5867, 563, 1607, 568, 1141, 570, 3036, 13123, 2097, 883, 1404, 269, 589, 570, 3036, 8115, 267, 849, 1634, 607, 606, 1073, 325, 19895, 730, 8115, 610, 513, 570, 3036, 8115, 20794, 267, 6411, 607, 513, 5728, 7127, 1448, 547, 519, 570, 3036, 3060, 269, 898, 6411, 607, 513, 21271, 547, 7753, 24890, 543, 7161, 13684, 676, 4959, 11679, 610, 25516, 6608, 269, 4635, 513, 8115, 2636, 2043, 547, 1921, 547, 519, 570, 3036, 3060, 1510, 9870, 1022, 2699, 17514, 610, 26901, 532, 27421, 563, 763, 2956, 540, 570, 3036, 13123, 568, 1079, 24670, 269, 17616, 267, 789, 5512, 1346, 538, 2477, 1141, 4950, 1569, 568, 8185, 18594, 1819, 610, 11658, 547, 1569, 570, 3036, 269, 769, 971, 2665, 267, 3755, 9591, 513, 1463, 4276, 547, 519, 570, 3036, 3060, 1131, 2693, 9594, 15372, 30518, 543, 1267, 538, 17808, 1569, 269, 570, 3036, 13123, 1683, 513, 960, 19925, 585, 891, 3755, 267, 3850, 873, 547, 4931, 1203, 519, 9993, 543, 2972, 19727, 24071, 1569, 547, 519, 4950, 563, 30772, 267, 570, 3036, 13123, 616, 4105, 585, 2043, 945, 4225, 741, 2228, 7834, 269, 1635, 24320, 2358, 519, 570, 3036, 4276, 607, 513, 2834, 267, 24290, 3060, 6808, 267, 789, 948, 3755, 2611, 20822, 543, 6870, 689, 533, 11538, 4064, 269, 901, 568, 3226, 1713, 538, 2477, 609, 7453, 4950, 13178, 267, 1141, 21271, 532, 2229, 13178, 568, 2629, 585, 2123, 3106, 267, 5191, 540, 4633, 267, 543, 7834, 540, 2792, 563, 30787, 909, 513, 570, 3036, 8115, 1522, 3100, 899, 513, 1950, 1184, 269, 1717, 267, 609, 519, 1318, 5583, 267, 621, 666, 581, 513, 2241, 543, 2500, 1259, 547, 2226, 2228, 7834, 269, 769, 519, 1985, 6810, 540, 713, 3391, 267, 649, 786, 3802, 596, 998, 519, 1900, 8386, 9912, 1184, 540, 9591, 707, 1378, 570, 3036, 8115, 267, 7175, 596, 547, 2972, 513, 5150, 19855, 1995, 1247, 7863, 707, 2228, 2238, 689, 533, 11538, 4064, 563, 8855, 267, 538, 606, 2085, 1141, 2228, 7834, 568, 896, 3586, 3463, 267, 519, 570, 3036, 3060, 543, 922, 13123, 723, 1831, 16832, 2645, 269, 6787, 596, 616, 2713, 538, 513, 2197, 609, 4950, 24890, 610, 3274, 1871, 707, 7834, 267, 570, 3036, 13123, 1683, 513, 1259, 547, 2327, 707, 2228, 2238, 2611, 4357, 543, 5150, 269, 13773, 22934, 585, 519, 14232, 3268, 547, 1305, 909, 707, 1360, 1378, 570, 3036, 8115, 2336, 289, 269, 11559, 618, 585, 3755, 547, 1305, 909, 741, 1378, 570, 3036, 8115, 585, 8476, 7834, 454, 1103, 519, 2479, 21608, 1158, 540, 3059, 3354, 543, 7834, 267, 2921, 1852, 540, 707, 2228, 1995, 814, 1831, 811, 1271, 982, 2479, 269, 1403, 596, 2461, 5275, 606, 3063, 4494, 540, 26687, 640, 543, 7834, 1247, 1210, 519, 4950, 267, 4259, 909, 707, 1378, 570, 3036, 8115, 666, 581, 513, 3810, 2500, 3070, 269, 769, 713, 3296, 267, 649, 3580, 1683, 596, 609, 930, 8903, 4128, 547, 2015, 4259, 909, 513, 570, 3036, 8115, 543, 3391, 596, 998, 519, 1184, 563, 272, 269, 2549, 680, 1518, 519, 570, 3036, 3060, 779, 4390, 912, 3528, 4259, 909, 707, 1378, 570, 3036, 8115, 267, 596, 616, 2047, 7700, 547, 519, 570, 3036, 3060, 779, 4390, 269, 570, 3036, 13123, 957, 607, 882, 904, 267, 4543, 570, 3036, 3755, 21271, 24890, 543, 1569, 519, 4950, 11884, 269, 1635, 4946, 707, 8115, 547, 519, 3060, 267, 596, 1683, 3606, 26687, 640, 543, 7834, 585, 1346, 945, 7048, 593, 713, 17170, 1907, 269, 2659, 9295, 2337, 547, 7794, 519, 2949, 7145, 543, 6043, 540, 519, 570, 3036, 3060, 563, 273, 269, 13363, 707, 7834, 912, 3528, 23332, 707, 4950, 6808, 998, 513, 570, 3036, 8115, 267, 596, 20427, 2333, 707, 7834, 543, 3354, 269, 570, 3036, 17278, 338, 707, 1239, 267, 1818, 621, 5393, 2352, 585, 4896, 267, 1519, 707, 4950, 3028, 8502, 630, 3041, 303, 264, 610, 2229, 13178, 8041, 267, 547, 3950, 707, 2228, 2238, 269, 17553, 909, 707, 1378, 570, 3036, 8115, 6087, 596, 547, 1491, 1852, 540, 707, 7834, 543, 2569, 519, 1981, 540, 707, 1239, 9991, 883, 519, 4636, 3946, 563, 274, 269, 8562, 636, 1203, 24890, 543, 1569, 17808, 1543, 912, 1103, 1082, 2477, 267, 6608, 20818, 22608, 1852, 936, 4950, 1569, 267, 17527, 1808, 7270, 610, 12145, 1569, 547, 1978, 1543, 269, 1635, 4259, 909, 513, 570, 3036, 8115, 267, 596, 666, 948, 2043, 538, 971, 5054, 21271, 24890, 543, 1569, 17808, 1543, 267, 4180, 789, 666, 19584, 519, 4950, 11884, 543, 1510, 9993, 269, 2659, 9295, 666, 1118, 513, 1713, 3017, 538, 1004, 779, 2729, 267, 4758, 873, 1569, 547, 2629, 1344, 602, 949, 581, 6382, 28998, 547, 873, 563, 3086, 602, 596, 1174, 519, 2640, 540, 4259, 909, 513, 570, 3036, 8115, 267, 1577, 779, 3391, 596, 998, 519, 1184, 1900, 8386, 9912, 563, 3721, 476, 272, 281, 8178, 707, 2930, 7207, 454, 6524, 596, 4685, 883, 519, 1184, 267, 621, 779, 1898, 547, 6218, 707, 2930, 1983, 543, 519, 2200, 2139, 547, 596, 269, 2755, 4259, 909, 513, 570, 3036, 8115, 3085, 1406, 2154, 4359, 2930, 1702, 267, 930, 23440, 609, 13033, 2035, 543, 1062, 7245, 786, 581, 5363, 269, 20283, 519, 2556, 3937, 267, 1519, 513, 2780, 543, 513, 7123, 4950, 4276, 267, 547, 2327, 513, 3811, 14764, 563, 3721, 476, 273, 281, 12305, 519, 570, 3036, 3301, 454, 9202, 267, 596, 3580, 991, 547, 4647, 543, 3888, 519, 570, 3036, 3301, 593, 707, 6074, 2780, 269, 570, 3036, 568, 2139, 585, 1585, 5665, 1949, 267, 1519, 8837, 267, 5672, 5308, 267, 543, 12380, 269, 3619, 547, 519, 570, 3036, 5741, 779, 3896, 630, 10059, 2517, 4178, 6745, 528, 2889, 915, 3820, 270, 264, 543, 1246, 519, 5528, 3177, 547, 4647, 543, 3888, 519, 3617, 4528, 585, 707, 1062, 563, 3721, 476, 274, 281, 4762, 2682, 707, 570, 3036, 8115, 454, 5629, 596, 723, 8704, 519, 570, 3036, 3301, 267, 621, 779, 942, 547, 19022, 707, 8115, 269, 7046, 519, 570, 3036, 12122, 3758, 267, 2356, 1336, 538, 519, 570, 3036, 10380, 15682, 267, 543, 12398, 519, 968, 289, 16466, 9824, 599, 892, 3296, 269, 3629, 519, 2556, 3877, 267, 971, 607, 519, 7379, 2232, 540, 707, 2780, 543, 519, 2823, 596, 6999, 547, 946, 269, 1452, 5468, 948, 570, 3036, 3755, 1921, 547, 707, 8115, 543, 1569, 519, 570, 3036, 3060, 563, 3721, 476, 275, 281, 4530, 543, 3803, 1125, 707, 14764, 454, 4415, 519, 12122, 2347, 267, 621, 779, 942, 547, 1449, 707, 570, 3036, 8115, 14764, 269, 32374, 519, 570, 3036, 3301, 543, 2327, 602, 707, 8115, 568, 4881, 7157, 269, 1411, 666, 946, 519, 570, 3036, 2638, 2985, 630, 10059, 2517, 13765, 6745, 528, 2889, 915, 3820, 270, 264, 547, 13182, 602, 707, 8115, 568, 2324, 607, 5497, 563, 3721, 476, 276, 281, 9523, 707, 8115, 3877, 454, 2414, 11694, 519, 1764, 540, 707, 570, 3036, 8115, 267, 621, 779, 1271, 547, 2671, 922, 3877, 609, 519, 570, 3036, 2146, 269, 1635, 3246, 707, 8115, 779, 7379, 2232, 543, 2823, 1297, 267, 596, 5512, 824, 570, 3036, 3755, 547, 1921, 547, 621, 543, 4324, 689, 519, 8476, 7834, 621, 3091, 269, 6333, 4946, 707, 8115, 547, 519, 570, 3036, 15167, 24174, 630, 10059, 2517, 8455, 2471, 6745, 528, 2889, 915, 3820, 270, 264, 610, 824, 5867, 6131, 547, 4509, 8638, 540, 2139, 13123, 563, 3528, 2921, 519, 11036, 547, 1305, 909, 707, 1378, 570, 3036, 8115, 267, 596, 3565, 547, 513, 811, 4357, 267, 5150, 267, 543, 1930, 4950, 585, 3025, 269, 2659, 3646, 24244, 519, 570, 3036, 3060, 779, 4390, 267, 2149, 707, 7834, 267, 543, 5512, 2043, 547, 7753, 24890, 543, 1569, 17808, 1543, 269, 5213, 1406, 19292, 547, 7832, 593, 713, 16779, 3460, 2509, 8476, 2228, 7834, 676, 4259, 909, 707, 1378, 570, 3036, 8115, 2221, 563, 30787, 909, 513, 570, 3036, 8115, 666, 581, 4101, 585, 14987, 267, 855, 972, 616, 1896, 2200, 2139, 547, 948, 596, 998, 519, 1184, 269, 6787, 596, 991, 811, 538, 3829, 1344, 610, 30076, 6351, 267, 891, 3606, 2200, 786, 581, 17170, 538, 4259, 909, 707, 570, 3036, 8115, 563, 272, 269, 634, 570, 3036, 5741, 3896, 630, 10059, 2517, 4178, 6745, 528, 2889, 915, 3820, 270, 2567, 634, 4013, 3896, 540, 519, 570, 3036, 5741, 568, 513, 3102, 4199, 585, 782, 1919, 570, 3036, 5829, 269, 898, 2488, 2143, 10274, 267, 14174, 17988, 267, 543, 12319, 593, 875, 547, 1305, 909, 543, 19022, 1114, 2010, 540, 570, 3036, 882, 904, 267, 1519, 13123, 269, 1411, 666, 1265, 1900, 8386, 9912, 5528, 267, 30076, 4388, 267, 543, 6402, 547, 2417, 2200, 563, 273, 269, 570, 3036, 7991, 17072, 630, 10059, 2517, 10919, 640, 6745, 528, 2889, 915, 3820, 270, 2567, 634, 570, 3036, 7991, 17072, 568, 606, 3742, 2228, 2146, 1141, 3755, 5531, 547, 1865, 543, 3343, 6351, 609, 782, 1919, 570, 3036, 5829, 269, 898, 568, 606, 5140, 1747, 547, 2307, 2055, 267, 2671, 2833, 267, 543, 1265, 4267, 689, 4810, 3755, 543, 9367, 269, 634, 8468, 849, 2488, 10274, 267, 18862, 267, 543, 4749, 8242, 1344, 593, 4259, 909, 543, 4509, 570, 3036, 13123, 563, 274, 269, 634, 570, 3036, 5741, 544, 9430, 8638, 630, 10059, 2517, 29812, 6745, 528, 2889, 915, 3820, 270, 2567, 634, 570, 3036, 5741, 15387, 1896, 544, 9430, 8638, 1141, 3755, 543, 9367, 666, 4497, 538, 5717, 267, 3343, 948, 267, 543, 3251, 8242, 609, 519, 5767, 7835, 269, 631, 9430, 8638, 899, 968, 30004, 3146, 331, 904, 892, 543, 968, 30004, 2389, 1779, 892, 616, 4481, 4143, 547, 570, 3036, 8115, 14764, 543, 5106, 269, 4427, 30533, 532, 547, 891, 544, 9430, 8638, 786, 1832, 596, 5483, 827, 1022, 1007, 10311, 267, 3354, 9666, 1559, 267, 543, 13033, 2152, 1644, 547, 570, 3036, 13123, 563, 275, 269, 6732, 18862, 543, 13334, 7044, 281, 11153, 2228, 18862, 543, 3381, 10274, 616, 2139, 547, 3391, 596, 998, 519, 1184, 540, 4259, 909, 513, 570, 3036, 8115, 269, 15750, 2572, 899, 13334, 267, 27707, 29878, 267, 543, 1585, 10509, 21075, 1419, 4183, 1900, 8386, 9912, 18862, 602, 1683, 3308, 23405, 543, 3137, 269, 1452, 2200, 666, 581, 3226, 5363, 585, 3308, 6267, 945, 4782, 8384, 2576, 1685, 519, 14764, 1184, 563, 276, 269, 10871, 570, 3036, 2146, 2743, 5725, 281, 769, 930, 2127, 267, 2199, 570, 3036, 2146, 2743, 5725, 543, 2621, 616, 4371, 1141, 570, 3036, 12439, 5531, 547, 2671, 1702, 267, 1865, 3785, 267, 543, 2709, 3946, 6823, 6351, 269, 5900, 2056, 891, 2743, 5725, 666, 1683, 596, 609, 606, 4316, 547, 3060, 609, 4966, 267, 1205, 2123, 5583, 267, 543, 1451, 689, 519, 2833, 540, 824, 3755, 269, 6744, 519, 570, 3036, 5741, 3896, 543, 2228, 570, 3036, 2146, 15473, 585, 1344, 3823, 2743, 5725, 538, 707, 1858, 563, 8855, 267, 4259, 909, 513, 570, 3036, 8115, 3340, 2930, 1702, 543, 1620, 540, 13033, 3741, 269, 898, 568, 2141, 19624, 547, 8499, 2689, 519, 4013, 12319, 267, 3343, 6351, 689, 4810, 3755, 267, 543, 3251, 8242, 609, 519, 5767, 1344, 547, 2327, 519, 5347, 5106, 540, 707, 570, 3036, 8115, 563, 3528, 9001, 891, 3606, 2200, 267, 596, 3580, 581, 1134, 25668, 5792, 547, 6330, 1022, 2591, 596, 7237, 950, 4259, 909, 707, 570, 3036, 8115, 269, 6153, 9939, 609, 707, 570, 3036, 8115, 14764, 3460, 2336, 288, 269, 631, 1549, 540, 3730, 2228, 2200, 543, 2950, 585, 2417, 6351, 454, 30787, 909, 513, 570, 3036, 8115, 1522, 3280, 899, 513, 18447, 4305, 267, 2523, 952, 596, 2461, 1007, 547, 519, 1523, 540, 26687, 1944, 707, 4950, 4276, 269, 1717, 267, 596, 991, 711, 5855, 256, 1703, 616, 1896, 2228, 2200, 543, 2950, 2139, 1141, 596, 666, 1265, 519, 5583, 543, 1489, 596, 991, 269, 3371, 616, 930, 3730, 5867, 543, 7270, 596, 666, 2263, 912, 272, 269, 634, 570, 3036, 5741, 19534, 912, 763, 4013, 570, 3036, 5741, 3896, 630, 10059, 2517, 4178, 6745, 528, 2889, 915, 3820, 264, 568, 606, 5140, 4358, 1448, 585, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5045, 540, 519, 2749, 540, 13243, 267, 538, 519, 15417, 14680, 14629, 2197, 540, 519, 10513, 8092, 269, 4595, 693, 2547, 519, 476, 273, 526, 2540, 5084, 1004, 723, 5156, 602, 519, 1747, 1141, 519, 5783, 540, 519, 14844, 2032, 267, 21861, 548, 1335, 267, 1631, 6763, 568, 1141, 4906, 729, 4535, 563, 3963, 568, 13243, 1572, 519, 10513, 2749, 888, 297, 518, 12731, 814, 1044, 519, 2868, 5006, 2749, 538, 17194, 543, 519, 18577, 543, 5289, 22657, 540, 519, 6014, 1004, 2094, 519, 476, 1015, 628, 2540, 14514, 269, 4438, 8106, 25196, 267, 13243, 729, 2808, 519, 4099, 540, 519, 1158, 267, 1141, 2696, 759, 3660, 269, 634, 2749, 540, 13243, 568, 2016, 2027, 4567, 538, 6014, 3909, 1876, 563, 1432, 729, 5840, 1572, 1354, 621, 729, 1572, 5840, 888, 7628, 519, 3703, 13495, 622, 267, 21157, 779, 4013, 2012, 538, 12355, 729, 968, 292, 4958, 345, 962, 529, 5361, 1848, 2334, 729, 519, 2012, 602, 7902, 538, 12355, 630, 531, 784, 2515, 21157, 538, 2296, 543, 12428, 264, 593, 519, 2199, 9304, 267, 22827, 543, 4013, 6054, 267, 23831, 519, 2012, 5840, 4013, 4567, 563, 3963, 616, 789, 1572, 7203, 659, 839, 888, 11771, 1231, 269, 7203, 659, 839, 941, 8547, 538, 476, 6942, 277, 676, 519, 6196, 27258, 540, 519, 5845, 1670, 3427, 538, 6307, 548, 14752, 267, 5507, 630, 331, 831, 547, 1831, 853, 6307, 548, 14752, 18049, 3427, 1040, 634, 8630, 779, 2012, 568, 1767, 547, 2097, 689, 519, 16608, 267, 15131, 543, 9228, 1045, 4532, 2225, 540, 6428, 611, 514, 779, 9390, 21847, 540, 519, 476, 1321, 628, 2540, 563, 1692, 1705, 5771, 3262, 883, 4639, 4000, 888, 26576, 1101, 3357, 547, 4639, 4000, 607, 513, 3500, 543, 12560, 1184, 267, 3262, 676, 7332, 18318, 543, 5640, 269, 634, 2038, 15322, 2066, 519, 19300, 4673, 941, 2944, 538, 5933, 269, 6153, 338, 5293, 998, 11800, 540, 7332, 18318, 267, 12349, 267, 6368, 267, 676, 2199, 1875, 5336, 639, 32093, 693, 519, 7013, 1034, 1439, 540, 519, 8905, 563, 1432, 568, 519, 12928, 2074, 16574, 541, 849, 1634, 607, 888, 763, 18648, 29533, 4149, 1245, 4536, 540, 2441, 543, 540, 519, 13527, 540, 21125, 630, 31142, 281, 623, 879, 701, 637, 862, 4106, 2158, 2441, 328, 16574, 1664, 6428, 558, 4577, 328, 1070, 849, 1634, 607, 519, 11352, 540, 21125, 779, 13527, 267, 519, 12928, 2074, 16574, 541, 610, 3274, 519, 16574, 1513, 267, 729, 513, 7826, 4108, 1931, 8547, 538, 476, 9340, 279, 267, 2212, 32483, 1229, 593, 519, 13527, 6778, 538, 13243, 998, 476, 12208, 279, 6693, 12441, 3751, 9400, 3717, 2296, 888, 8601, 1373, 4535, 538, 4789, 267, 9400, 949, 711, 723, 9275, 2296, 269, 2560, 1717, 267, 9400, 1705, 711, 6108, 513, 1390, 4308, 540, 942, 538, 4789, 543, 646, 949, 711, 723, 4121, 547, 3717, 2296, 269, 769, 1010, 2898, 12081, 267, 646, 6170, 1100, 811, 982, 3670, 3275, 5087, 540, 519, 19305, 563, 3963, 729, 9400, 513, 3983, 4622, 888, 3080, 540, 519, 10782, 25197, 725, 1377, 1194, 693, 9400, 8633, 729, 602, 646, 23689, 519, 11010, 806, 538, 519, 18975, 269, 4495, 9400, 1185, 1044, 7715, 2740, 543, 1010, 683, 15343, 9749, 536, 770, 731, 2213, 267, 930, 12206, 3494, 602, 519, 1762, 2379, 806, 941, 1100, 3476, 513, 3463, 563, 1432, 568, 31862, 1572, 1631, 888, 296, 30955, 769, 476, 13970, 274, 589, 6185, 1421, 519, 20850, 7276, 8593, 547, 519, 5695, 802, 269, 4653, 267, 31862, 568, 1572, 594, 30955, 267, 543, 621, 568, 519, 4102, 2749, 538, 11894, 563, 1432, 729, 519, 2012, 540, 519, 2749, 1354, 621, 729, 1572, 31862, 888, 3528, 345, 656, 1756, 594, 30955, 267, 15349, 17487, 364, 30955, 267, 19497, 31862, 267, 3504, 18031, 656, 1756, 267, 4102, 2749, 543, 9030, 694, 777, 677, 540, 11894, 269, 898, 729, 519, 3854, 540, 1312, 519, 20850, 7276, 543, 519, 16368, 7276, 563, 8005, 986, 3660, 31862, 888, 1103, 4873, 476, 279, 2568, 267, 519, 15570, 9250, 513, 9983, 4323, 593, 31862, 693, 513, 942, 950, 519, 2749, 729, 2451, 7361, 3768, 1030, 2105, 607, 20850, 14890, 7812, 8633, 729, 1055, 609, 1010, 7952, 8165, 519, 2806, 21353, 573, 2836, 13023, 622, 538, 5607, 19724, 1247, 519, 20850, 26010, 729, 7722, 609, 6259, 31503, 593, 519, 11335, 7256, 563, 1432, 1893, 568, 1546, 639, 642, 738, 888, 31142, 5824, 269, 2696, 786, 338, 630, 527, 2567, 3956, 540, 519, 12724, 19470, 563, 8005, 568, 6428, 1695, 3291, 514, 538, 5771, 888, 21946, 1695, 3291, 514, 620, 5025, 344, 344, 889, 328, 267, 2442, 569, 1634, 538, 519, 4639, 607, 6428, 611, 514, 267, 568, 513, 26060, 4137, 538, 5771, 1655, 1634, 585, 973, 2194, 1005, 13243, 689, 519, 12724, 19470, 538, 476, 14093, 278, 269, 13243, 729, 1101, 22482, 538, 476, 277, 4343, 676, 519, 2034, 7332, 1608, 13023, 267, 772, 3405, 10822, 620, 11860, 1002, 339, 629, 563, 24078, 6428, 611, 514, 17204, 888, 763, 11135, 540, 1488, 338, 18860, 729, 513, 6370, 1282, 519, 12059, 12724, 1228, 799, 3576, 1747, 593, 476, 278, 5181, 476, 15686, 272, 269, 634, 6370, 729, 513, 4168, 11802, 267, 609, 4229, 3366, 676, 9400, 594, 540, 4789, 9396, 908, 513, 3677, 15718, 344, 889, 573, 7952, 3366, 676, 6428, 611, 514, 269, 2560, 11135, 540, 1488, 338, 18860, 563, 347, 14630, 1475, 278, 5181, 476, 15686, 272, 2008, 24836, 706, 730, 689, 661, 10064, 2969, 630, 20139, 989, 1258, 5669, 1153, 540, 570, 9567, 1787, 264, 538, 2030, 9443, 538, 476, 1001, 279, 267, 594, 22002, 513, 595, 9281, 3918, 4387, 622, 896, 4579, 609, 6129, 685, 13070, 686, 543, 5442, 6938, 292, 538, 2997, 793, 517, 1063, 476, 1001, 280, 543, 476, 1708, 273, 269, 3733, 5098, 6322, 547, 1353, 6422, 989, 337, 643, 565, 3279, 545, 1949, 267, 538, 1250, 2013, 538, 818, 4011, 22450, 269, 594, 2648, 547, 2328, 543, 2671, 2257, 1644, 853, 4428, 3371, 593, 1250, 19534, 269, 594, 993, 4867, 11173, 693, 6129, 685, 13070, 686, 607, 606, 681, 22936, 11653, 269, 0, 290, 26578, 3359, 269, 13507, 545, 5872, 1235, 616, 1419, 22309, 585, 1373, 22350, 12705, 2065, 538, 741, 1382, 2409, 543, 10169, 796, 17882, 1738, 538, 741, 6436, 269, 898, 568, 11130, 602, 519, 3069, 568, 711, 835, 3069, 267, 855, 2864, 267, 519, 5943, 585, 1082, 1114, 6436, 563, 1432, 568, 513, 9880, 540, 519, 12572, 19983, 626, 1935, 28866, 888, 5793, 2452, 1063, 938, 1378, 4555, 543, 4606, 827, 513, 3510, 543, 3964, 8155, 543, 2418, 540, 519, 2516, 269, 29576, 540, 12572, 5872, 1143, 269, 5337, 2803, 5626, 2188, 267, 7740, 1932, 1454, 593, 4948, 1272, 267, 5337, 2803, 1804, 4336, 1514, 3889, 267, 22394, 543, 791, 13440, 1047, 269, 6723, 29464, 28927, 563, 7617, 540, 519, 1739, 568, 513, 9880, 540, 519, 12572, 19983, 626, 5133, 540, 2069, 888, 2108, 290, 761, 923, 540, 713, 3069, 3409, 602, 12572, 5872, 1143, 10714, 338, 519, 12550, 1377, 540, 1514, 7664, 1107, 519, 2048, 15927, 4605, 269, 634, 5133, 849, 11392, 9880, 585, 13581, 532, 519, 3310, 540, 1514, 4229, 543, 5238, 593, 1367, 4205, 3034, 1432, 568, 513, 20159, 540, 519, 12572, 5872, 1935, 888, 288, 20159, 540, 519, 12572, 17942, 9146, 1935, 568, 602, 621, 281, 568, 711, 7255, 609, 519, 2495, 1004, 8936, 547, 2623, 269, 1281, 711, 1445, 593, 519, 7839, 3310, 540, 2528, 269, 1281, 711, 946, 519, 25349, 5133, 563, 1432, 568, 606, 1383, 540, 12572, 5872, 888, 1432, 1772, 13507, 545, 19983, 1143, 286, 2755, 621, 1522, 3100, 899, 513, 2462, 2012, 267, 12572, 5872, 1143, 568, 875, 707, 2833, 1039, 16148, 10096, 547, 6698, 543, 5022, 269, 1280, 1383, 267, 519, 2262, 2048, 27594, 685, 568, 1175, 513, 3126, 540, 5022, 269, 3414, 707, 4205, 609, 519, 5022, 2048, 27594, 8730, 596, 1294, 713, 607, 513, 24566, 267, 2185, 6122, 13949, 22578, 563, 1432, 568, 12572, 19983, 626, 3069, 888, 15228, 26382, 5872, 1143, 568, 513, 2890, 7400, 3069, 602, 6212, 593, 519, 3347, 1851, 2043, 1369, 513, 2486, 269, 9442, 9789, 5385, 540, 2495, 998, 1893, 543, 6698, 28934, 5156, 547, 581, 519, 1259, 538, 799, 1004, 1118, 2631, 540, 741, 1514, 10600, 563, 1432, 568, 12572, 17942, 9146, 1353, 28866, 888, 15228, 26382, 5872, 1143, 3217, 513, 1507, 8397, 2070, 540, 2486, 269, 898, 6212, 593, 513, 1507, 4336, 5133, 540, 4205, 1063, 2043, 267, 899, 950, 596, 13793, 856, 609, 513, 3659, 267, 3079, 540, 3168, 693, 1804, 8397, 3889, 267, 899, 2069, 610, 1876, 269, 4586, 7617, 540, 519, 1739, 568, 513, 1455, 9880, 540, 12572, 5872, 3069, 28866, 888, 7617, 540, 519, 1739, 568, 513, 1455, 9880, 540, 12572, 5872, 1143, 286, 13507, 545, 5872, 1143, 7361, 5337, 2803, 12550, 1377, 2188, 269, 519, 1184, 676, 799, 649, 957, 4724, 543, 2746, 547, 1004, 1472, 721, 269, 4340, 547, 4655, 28466, 267, 799, 1514, 1895, 8060, 1034, 540, 519, 1379, 543, 3959, 538, 2486, 888, 7617, 540, 519, 1739, 7157, 14439, 835, 540, 519, 30852, 540, 12572, 5872, 3069, 888, 7617, 540, 519, 1739, 7157, 14439, 835, 540, 519, 30852, 540, 13507, 545, 19983, 7869, 286, 2560, 13507, 545, 19983, 7869, 814, 1044, 22309, 585, 1373, 2150, 652, 762, 563, 7617, 540, 519, 1739, 568, 513, 9880, 540, 519, 12572, 5872, 626, 5133, 540, 4065, 28866, 888, 7617, 540, 519, 1739, 568, 513, 9880, 540, 519, 12572, 5872, 626, 5133, 540, 2069, 286, 898, 3112, 2285, 721, 513, 4605, 540, 519, 1909, 540, 519, 2069, 1062, 538, 2486, 607, 513, 2898, 269, 6904, 540, 519, 1739, 2188, 568, 711, 5532, 547, 2262, 6710, 1851, 1453, 888, 7617, 540, 519, 1739, 568, 513, 9880, 540, 519, 6198, 626, 5133, 540, 2069, 888, 290, 26578, 3359, 540, 519, 23398, 626, 7348, 540, 4065, 14100, 1235, 8044, 519, 2069, 1062, 568, 711, 20519, 7095, 1107, 552, 3052, 269, 4357, 3506, 4324, 519, 14547, 269, 9577, 16117, 5337, 2803, 519, 2942, 5011, 540, 1153, 1107, 552, 3052, 269, 11648, 543, 972, 616, 513, 12102, 585, 945, 621, 3085, 1406, 960, 267, 971, 607, 1346, 18385, 16934, 563, 7617, 540, 519, 1739, 568, 513, 20159, 540, 519, 12572, 5872, 3069, 28866, 888, 288, 20159, 540, 519, 12572, 17942, 9146, 1935, 568, 602, 621, 281, 568, 711, 7255, 609, 519, 2495, 1004, 8936, 547, 2623, 563, 1432, 616, 930, 540, 519, 12755, 540, 519, 12572, 19983, 626, 3069, 888, 763, 12572, 954, 566, 1143, 3069, 540, 1821, 4800, 849, 814, 1585, 7687, 1147, 15929, 922, 1523, 269, 1107, 13507, 545, 5872, 1143, 608, 11079, 3544, 7506, 540, 1514, 3889, 269, 910, 15228, 26382, 5872, 1143, 5337, 2803, 14227, 6688, 543, 1362, 2497, 563, 7617, 540, 519, 1739, 568, 606, 4977, 9880, 540, 519, 6198, 1935, 888, 7617, 540, 519, 1739, 568, 606, 4977, 9880, 540, 519, 7293, 1922, 23341, 1935, 286, 898, 5337, 2803, 8635, 602, 666, 5352, 8082, 543, 4655, 563, 1432, 616, 519, 7687, 540, 4655, 3069, 888, 763, 1292, 3119, 20159, 540, 519, 4655, 3069, 568, 519, 1249, 602, 621, 6772, 23697, 519, 6617, 540, 519, 2486, 269, 2755, 7239, 616, 538, 513, 3586, 1533, 540, 1689, 5354, 540, 519, 1689, 568, 1360, 1507, 543, 621, 3006, 4422, 3592, 29462, 563, 1432, 568, 12572, 5872, 538, 2241, 2474, 888, 15228, 26382, 5872, 1143, 568, 13156, 2486, 607, 7768, 540, 6698, 602, 1004, 946, 547, 3715, 2495, 267, 1020, 5784, 827, 519, 1158, 267, 543, 5968, 609, 835, 1776, 269, 1284, 616, 3206, 7919, 945, 957, 2687, 547, 875, 649, 4612, 3871, 563, 1432, 568, 519, 1292, 2856, 540, 12572, 5872, 1143, 888, 763, 2596, 10206, 540, 12572, 5872, 1143, 568, 602, 1480, 2962, 543, 5872, 616, 24669, 1152, 998, 519, 5385, 540, 6209, 2792, 610, 6698, 269, 769, 713, 1935, 267, 3425, 616, 17814, 607, 9117, 267, 607, 10353, 547, 1373, 19500, 2390, 563, 1692, 1281, 12572, 5872, 3069, 2491, 8635, 888, 11328, 9146, 1235, 1419, 2015, 519, 2243, 540, 875, 1379, 568, 22121, 538, 513, 3510, 269, 634, 5872, 626, 5133, 593, 8635, 5654, 693, 875, 1978, 1514, 5107, 723, 811, 1379, 610, 6392, 982, 1866, 269, 2560, 4935, 267, 1514, 32756, 568, 513, 1267, 540, 891, 1367, 4205, 563, 1692, 798, 12572, 19983, 1235, 5659, 1514, 5872, 888, 15228, 26382, 5872, 3069, 23607, 2486, 676, 5466, 519, 16148, 10096, 602, 1004, 20818, 593, 3615, 267, 2621, 267, 543, 5615, 269, 4427, 11187, 10096, 616, 2016, 2215, 2329, 1317, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1310, 7311, 1019, 520, 558, 17675, 3618, 547, 2831, 685, 2960, 2947, 2053, 829, 3018, 585, 1896, 4374, 269, 769, 513, 3731, 1353, 267, 3173, 10480, 14148, 1164, 13066, 540, 1019, 520, 558, 17675, 3618, 585, 3670, 3275, 543, 1336, 1100, 2963, 540, 10285, 610, 11095, 2360, 563, 6546, 1767, 267, 972, 779, 930, 2963, 11021, 602, 11375, 2718, 513, 1360, 1507, 2179, 540, 26543, 13339, 936, 942, 630, 1492, 2186, 1031, 538, 1507, 9424, 538, 930, 1019, 520, 558, 17675, 3618, 2472, 267, 2523, 13851, 264, 1522, 3565, 547, 24485, 2670, 267, 5312, 32583, 267, 543, 824, 5761, 543, 7929, 2042, 538, 513, 1507, 6871, 540, 2665, 269, 1717, 267, 519, 1981, 4667, 1970, 6236, 519, 5318, 5354, 540, 1019, 520, 558, 17675, 3618, 1031, 538, 2472, 585, 1480, 4616, 568, 993, 6973, 748, 267, 711, 26543, 563, 25842, 593, 519, 5113, 454, 310, 1180, 1359, 952, 4677, 1606, 12522, 1019, 520, 558, 17675, 3618, 666, 2800, 2831, 610, 3565, 547, 2825, 5533, 286, 15845, 2982, 713, 568, 1360, 12691, 543, 602, 1019, 520, 558, 17675, 3618, 568, 2965, 1875, 1729, 13877, 547, 11864, 267, 3165, 543, 12748, 29068, 563, 2005, 779, 4122, 11402, 676, 5017, 543, 824, 7320, 538, 2470, 855, 814, 1044, 1336, 547, 581, 20027, 547, 5017, 267, 3165, 543, 824, 7320, 538, 3875, 2090, 563, 1103, 1249, 267, 21958, 568, 6923, 726, 550, 3814, 703, 515, 5836, 267, 543, 26869, 3568, 5318, 5666, 540, 1019, 520, 558, 17675, 3618, 269, 634, 7729, 30416, 540, 1082, 2010, 540, 4262, 1272, 543, 7286, 7103, 616, 2965, 1500, 1210, 21958, 267, 543, 4061, 621, 4667, 547, 10460, 1100, 2101, 4220, 547, 1034, 2249, 563, 2026, 2484, 607, 2371, 979, 267, 1019, 520, 558, 17675, 3618, 666, 2965, 581, 6225, 2094, 621, 779, 1031, 607, 513, 3395, 5420, 538, 1494, 1540, 2371, 269, 898, 779, 4421, 607, 513, 3037, 19605, 543, 2337, 3037, 11677, 1216, 543, 5567, 267, 1247, 3850, 585, 811, 5135, 10009, 543, 11318, 1055, 15495, 563, 2005, 849, 2337, 8190, 3536, 6923, 630, 7945, 607, 9274, 610, 22053, 267, 799, 666, 1332, 9044, 264, 543, 2337, 25579, 880, 3037, 865, 811, 2371, 543, 1426, 666, 581, 6738, 585, 13184, 543, 1480, 4616, 563, 268, 4144, 520, 558, 17675, 3618, 568, 606, 5214, 1587, 1500, 909, 540, 8093, 1242, 3788, 540, 6263, 267, 12748, 7103, 1572, 1019, 520, 1682, 563, 268, 4144, 520, 558, 17675, 3618, 2640, 1331, 19140, 4328, 519, 1560, 282, 1625, 4328, 15559, 282, 21313, 1852, 282, 11318, 7786, 543, 824, 5739, 6878, 538, 707, 1753, 282, 5355, 4745, 267, 5642, 543, 30301, 1072, 282, 543, 7738, 543, 7863, 2960, 267, 18969, 543, 4522, 563, 268, 4144, 520, 558, 17675, 3618, 814, 1044, 1031, 585, 1296, 607, 513, 10930, 23561, 4781, 269, 4653, 267, 972, 616, 936, 476, 5611, 23561, 5829, 2472, 10805, 585, 946, 1312, 16280, 543, 13964, 602, 2270, 16692, 563, 268, 4144, 520, 558, 17675, 3618, 568, 2139, 538, 1079, 1114, 9344, 281, 1426, 17263, 630, 1889, 656, 547, 3144, 24323, 676, 3425, 264, 543, 1875, 32103, 17263, 630, 4310, 538, 4853, 2853, 1916, 268, 21081, 4327, 1019, 520, 558, 17675, 3618, 267, 1984, 539, 610, 25050, 1242, 1019, 520, 558, 17675, 3618, 267, 543, 18287, 1441, 1019, 520, 558, 17675, 3618, 616, 782, 2139, 563, 2691, 3144, 676, 5023, 267, 1019, 520, 558, 17675, 3618, 568, 1031, 607, 513, 2707, 540, 21958, 267, 585, 8156, 1164, 8501, 2157, 267, 585, 8156, 19228, 267, 543, 585, 5355, 519, 1072, 540, 2960, 267, 18969, 267, 4522, 267, 7633, 267, 543, 4552, 269, 1879, 4294, 547, 519, 2960, 610, 4522, 267, 1019, 520, 558, 17675, 3618, 568, 1031, 547, 11453, 4522, 610, 4894, 13311, 4666, 2960, 2281, 32289, 1279, 1281, 621, 1491, 585, 1019, 520, 558, 17675, 3618, 547, 960, 538, 3425, 286, 20064, 763, 21958, 538, 16692, 666, 1491, 513, 1279, 942, 547, 960, 922, 1259, 883, 707, 1062, 543, 2253, 547, 8915, 922, 2360, 269, 21673, 476, 277, 268, 279, 4374, 547, 1780, 1354, 596, 786, 2253, 547, 1294, 1022, 7298, 2164, 32289, 1419, 1058, 596, 4235, 1019, 520, 558, 17675, 3618, 286, 20064, 2791, 666, 1491, 827, 835, 23188, 540, 1426, 17263, 1019, 520, 558, 17675, 3618, 609, 1216, 2899, 513, 1554, 547, 19140, 269, 27276, 7899, 540, 1216, 19952, 543, 2429, 519, 1554, 547, 3251, 19872, 269, 1411, 666, 849, 3575, 621, 538, 609, 824, 1919, 1107, 10433, 267, 5347, 625, 267, 18506, 267, 3092, 269, 1107, 855, 1118, 2386, 547, 1869, 4235, 7899, 540, 1216, 609, 621, 563, 2005, 18274, 525, 519, 22542, 8778, 607, 13802, 543, 824, 562, 770, 625, 616, 12842, 676, 519, 4144, 520, 558, 17675, 3047, 543, 17515, 269, 1306, 621, 19140, 5809, 621, 849, 1102, 4926, 707, 1560, 609, 6886, 607, 621, 568, 3638, 538, 7513, 267, 13101, 267, 4401, 543, 13058, 269, 9989, 1019, 520, 558, 17675, 3618, 1205, 883, 519, 18072, 286, 20064, 8601, 891, 4681, 267, 621, 814, 1044, 4080, 602, 950, 1019, 520, 558, 17675, 3618, 568, 13881, 267, 1360, 2370, 568, 2965, 12842, 883, 519, 1560, 269, 4107, 540, 621, 568, 608, 920, 1540, 267, 519, 3173, 2491, 267, 543, 2094, 1507, 5666, 540, 21958, 616, 7363, 1459, 538, 782, 1560, 8031, 267, 621, 568, 711, 8966, 547, 1265, 13339, 8166, 538, 519, 10729, 269, 9989, 1019, 520, 558, 17675, 3618, 4283, 519, 18072, 286, 20064, 15933, 17263, 1019, 520, 558, 17675, 3618, 568, 2922, 547, 8532, 269, 898, 10596, 998, 707, 9667, 1062, 24240, 543, 1281, 711, 4283, 519, 18072, 32289, 798, 596, 632, 11988, 609, 1019, 520, 558, 17675, 3618, 286, 20064, 5804, 7904, 553, 547, 561, 823, 547, 17494, 267, 16692, 568, 513, 2922, 543, 2500, 1259, 547, 948, 2285, 707, 4620, 781, 1072, 513, 4195, 1376, 269, 17186, 476, 16006, 512, 4944, 585, 7314, 896, 476, 278, 331, 2125, 1315, 476, 272, 512, 4944, 585, 7314, 693, 827, 476, 1015, 331, 2125, 1315, 476, 272, 476, 16006, 512, 4944, 585, 7314, 936, 476, 1015, 331, 2125, 269, 883, 513, 2582, 7674, 540, 6632, 1426, 1169, 1554, 585, 4557, 2395, 269, 19244, 1586, 585, 1776, 4557, 2395, 269, 4692, 596, 2322, 1019, 520, 558, 17675, 3618, 593, 707, 5127, 286, 20064, 291, 755, 4144, 520, 558, 17675, 3047, 5937, 292, 5196, 519, 20974, 816, 543, 28945, 543, 2523, 593, 1022, 1212, 1162, 540, 519, 28945, 269, 1411, 1058, 849, 7452, 930, 16692, 883, 519, 4216, 20950, 540, 519, 20974, 816, 269, 898, 568, 2556, 547, 1832, 519, 4144, 520, 558, 17675, 3047, 5937, 292, 972, 267, 865, 602, 621, 8952, 593, 2324, 269, 1403, 23103, 568, 4628, 24095, 539, 267, 4019, 16692, 2429, 519, 24095, 23130, 568, 519, 1655, 1259, 547, 4019, 1019, 520, 558, 17675, 3618, 286, 20064, 268, 769, 519, 2777, 281, 2422, 606, 1972, 1807, 610, 7452, 518, 547, 4019, 1019, 520, 558, 17675, 3618, 950, 1210, 519, 8869, 607, 11641, 1852, 538, 519, 2777, 269, 4429, 268, 769, 707, 4677, 281, 1403, 596, 723, 30293, 267, 21746, 267, 22376, 7714, 267, 610, 824, 4677, 10860, 267, 20057, 548, 513, 5386, 4494, 593, 519, 2666, 538, 519, 1858, 5612, 1472, 519, 4299, 2371, 563, 2171, 4363, 2921, 16692, 609, 1216, 593, 606, 8900, 7181, 267, 693, 2547, 835, 5662, 1354, 610, 1079, 3108, 1310, 3824, 20535, 1426, 267, 9360, 267, 610, 6646, 269, 901, 5849, 602, 519, 16692, 786, 581, 2111, 547, 10110, 13802, 689, 707, 9667, 1062, 3079, 540, 5567, 563, 1103, 23139, 23927, 267, 1019, 520, 558, 17675, 3618, 568, 711, 4397, 547, 2014, 17219, 269, 1403, 15179, 539, 267, 621, 786, 1780, 998, 519, 7181, 543, 24026, 1510, 4929, 2042, 269, 1403, 31067, 267, 16692, 666, 8886, 622, 519, 9224, 543, 9641, 4929, 23472, 543, 26032, 540, 7362, 269, 2201, 2960, 610, 538, 519, 4064, 267, 621, 666, 2014, 16698, 543, 3819, 1145, 269, 9989, 1019, 520, 558, 17675, 3618, 15936, 609, 8324, 286, 20064, 1432, 602, 1281, 568, 621, 3247, 10338, 568, 25050, 22021, 10250, 6886, 269, 1403, 596, 3136, 547, 946, 891, 1019, 520, 558, 17675, 3618, 2472, 543, 596, 4835, 1125, 873, 267, 596, 2811, 2921, 873, 24323, 267, 596, 786, 1831, 28119, 538, 865, 1082, 8324, 543, 6886, 267, 3388, 602, 621, 3081, 621, 1281, 543, 798, 23130, 568, 519, 3017, 1063, 1019, 520, 558, 17675, 3618, 543, 1426, 3446, 1019, 520, 558, 17675, 3618, 286, 20064, 763, 3017, 1063, 1426, 543, 3049, 3446, 1019, 520, 558, 17675, 3618, 814, 547, 798, 609, 519, 16551, 602, 1142, 1590, 2743, 609, 14621, 547, 5230, 4496, 1543, 269, 5637, 1426, 543, 3049, 3446, 1590, 2270, 1447, 602, 476, 272, 260, 26543, 21958, 543, 711, 581, 18287, 1441, 267, 538, 1931, 547, 581, 2922, 547, 946, 609, 543, 1472, 2831, 269, 3674, 1019, 520, 558, 17675, 3618, 1434, 585, 15495, 286, 20064, 763, 2164, 540, 713, 1353, 5815, 519, 16692, 814, 519, 1761, 547, 581, 606, 2500, 2126, 547, 948, 1852, 15495, 543, 2087, 2504, 540, 1418, 1227, 6659, 267, 1863, 24365, 4494, 646, 985, 269, 9989, 1019, 520, 558, 17675, 3618, 1860, 10399, 286, 20064, 13900, 1186, 547, 18696, 2659, 26268, 2158, 454, 22068, 3821, 5540, 782, 540, 707, 10399, 267, 1519, 707, 11178, 267, 609, 519, 31093, 538, 1019, 520, 558, 17675, 3618, 849, 21528, 609, 11178, 9449, 10307, 630, 1556, 1916, 2690, 519, 8602, 454, 2252, 596, 1616, 547, 2285, 707, 2960, 930, 3063, 570, 9448, 267, 1039, 513, 19625, 540, 1019, 520, 558, 17675, 3618, 547, 707, 1985, 8602, 269, 2659, 2960, 786, 2097, 856, 4898, 2685, 2571, 269, 1809, 1810, 1405, 7340, 547, 27125, 707, 8685, 1134, 19952, 2336, 1692, 1019, 520, 558, 17675, 3618, 1568, 563, 347, 13911, 540, 24538, 1475, 7343, 1861, 11778, 2008, 25238, 1046, 1782, 22404, 1475, 278, 268, 2641, 2395, 2008, 347, 14937, 610, 2699, 17605, 1475, 2190, 3108, 2008, 291, 9332, 558, 17675, 3618, 3568, 476, 3199, 547, 476, 3445, 260, 21958, 267, 799, 1568, 13974, 547, 14434, 1336, 538, 15988, 797, 338, 269, 8125, 3821, 5536, 666, 9243, 1125, 519, 5279, 540, 1863, 18119, 543, 9004, 873, 689, 519, 1560, 267, 799, 25815, 19842, 3441, 543, 814, 4550, 268, 1645, 2360, 269, 3674, 1019, 520, 558, 17675, 3618, 606, 27179, 286, 20064, 291, 9332, 558, 17675, 3047, 568, 6923, 27611, 267, 4550, 1922, 25193, 267, 4550, 8686, 12637, 543, 4550, 24733, 553, 12792, 23130, 6886, 616, 538, 1019, 520, 558, 17675, 3618, 286, 20064, 291, 9332, 558, 17675, 3618, 568, 7768, 5631, 540, 21958, 25202, 11775, 630, 32483, 345, 267, 1566, 531, 264, 543, 10036, 6886, 630, 650, 924, 543, 25697, 565, 9548, 1916, 2005, 781, 1271, 602, 596, 1152, 946, 513, 1426, 3446, 4144, 520, 558, 17675, 3047, 607, 513, 2067, 543, 3114, 1863, 1259, 547, 1852, 11746, 19095, 543, 824, 15495, 585, 707, 10130, 269, 4144, 520, 558, 17675, 3047, 666, 9004, 711, 1152, 11746, 19095, 855, 5180, 19095, 267, 627, 760, 19095, 267, 8930, 19095, 267, 543, 13622, 19095, 269, 8489, 1281, 1019, 520, 558, 17675, 3618, 2097, 689, 286, 20064, 291, 9332, 558, 17675, 3618, 568, 6923, 9648, 543, 1336, 538, 11895, 12074, 1472, 519, 1158, 269, 1452, 12074, 616, 1500, 540, 8093, 1242, 1019, 520, 1682, 267, 6263, 7103, 602, 616, 1336, 538, 1216, 269, 2991, 1373, 24776, 267, 1019, 520, 558, 17675, 3618, 568, 1031, 538, 1082, 2081, 267, 1519, 585, 11641, 1852, 269, 4692, 5243, 1491, 1019, 520, 558, 17675, 3618, 286, 20064, 2791, 666, 1964, 21407, 602, 16692, 568, 513, 2922, 19605, 547, 707, 4620, 781, 2732, 269, 1677, 946, 607, 513, 632, 11988, 518, 267, 3274, 1039, 513, 1507, 2179, 540, 1426, 17263, 16692, 547, 707, 2915, 781, 2732, 269, 27051, 476, 272, 23188, 547, 476, 272, 29537, 540, 16692, 1058, 581, 2016, 3232, 585, 513, 3923, 1765, 1652, 585, 1360, 1507, 5243, 543, 7314, 267, 811, 585, 1360, 1804, 5243, 269, 12663, 5127, 12961, 3802, 998, 1019, 520, 558, 17675, 3618, 286, 20064, 291, 9332, 558, 17675, 3047, 568, 513, 1390, 1907, 547, 946, 538, 707, 4339, 1996, 5127, 12961, 269, 898, 781, 606, 782, 2067, 11064, 547, 5127, 12961, 602, 666, 1312, 6146, 873, 543, 2061, 873, 689, 3001, 11884, 2429, 707, 2777, 269, 5457, 602, 1019, 520, 558, 17675, 3618, 4805, 786, 711, 581, 2614, 547, 1521, 707, 5127, 17079, 23588, 269, 6701, 5127, 12961, 13631, 547, 1019, 520, 558, 17675, 3618, 286, 20064, 291, 9332, 558, 17675, 3618, 3085, 1405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4104, 1753, 267, 538, 606, 13778, 5106, 602, 568, 2629, 585, 1312, 519, 2831, 543, 519, 2199, 2551, 563, 21581, 3177, 676, 589, 17025, 454, 288, 17025, 630, 9802, 476, 280, 267, 476, 1001, 274, 264, 2290, 540, 3624, 781, 1655, 8153, 957, 19843, 9149, 29078, 6883, 14612, 547, 590, 3711, 15843, 2817, 15944, 593, 13723, 269, 634, 2832, 540, 519, 7552, 568, 547, 5031, 519, 10363, 32334, 4123, 6117, 519, 2810, 1297, 540, 10363, 3267, 4585, 3381, 454, 288, 17025, 630, 20809, 476, 1626, 267, 476, 1001, 276, 264, 681, 2086, 656, 10363, 9467, 538, 32334, 538, 15173, 15158, 568, 11319, 19246, 2509, 14486, 267, 5726, 1235, 1767, 267, 8989, 811, 32334, 3688, 593, 9042, 972, 982, 538, 1022, 824, 2749, 563, 21581, 3177, 676, 3267, 4585, 3381, 454, 4338, 630, 13202, 269, 476, 1789, 267, 476, 1001, 275, 264, 769, 1018, 568, 1373, 4330, 607, 519, 1101, 5106, 540, 922, 1826, 538, 519, 1158, 267, 5726, 1235, 723, 6410, 1472, 513, 1895, 540, 19246, 689, 606, 1858, 540, 594, 341, 800, 11076, 1141, 789, 941, 834, 8619, 6748, 2042, 257, 547, 3267, 4585, 3381, 454, 288, 17025, 630, 18907, 476, 1789, 267, 476, 1001, 276, 264, 30546, 20421, 957, 816, 700, 1575, 7534, 27526, 784, 262, 334, 814, 8120, 1753, 547, 15057, 547, 27490, 3650, 513, 1007, 5859, 547, 3247, 519, 2594, 26718, 540, 19246, 585, 741, 3407, 32334, 563, 21581, 3177, 676, 3267, 4585, 3381, 454, 13233, 22127, 630, 11321, 269, 476, 1240, 267, 476, 1001, 273, 264, 26335, 2530, 543, 3500, 2067, 12093, 723, 15354, 21795, 593, 519, 13155, 1592, 269, 2311, 3624, 779, 26728, 784, 7186, 15944, 267, 3744, 936, 5408, 606, 5499, 27604, 9960, 1982, 602, 3096, 3267, 4585, 3381, 454, 4338, 630, 20225, 269, 476, 2918, 267, 476, 1001, 274, 264, 2311, 519, 9241, 8118, 2817, 18479, 11244, 4741, 538, 26665, 8243, 699, 267, 8419, 267, 19246, 616, 1818, 2933, 693, 1753, 693, 713, 2189, 476, 1220, 14092, 516, 9744, 269, 9050, 3979, 19246, 689, 18557, 781, 10960, 8003, 723, 3267, 4585, 3381, 454, 288, 17025, 630, 18907, 476, 275, 267, 476, 1001, 275, 264, 1306, 519, 1480, 2551, 4679, 267, 7526, 609, 19246, 538, 22583, 3127, 616, 593, 519, 4473, 607, 27142, 543, 6705, 1958, 25209, 593, 519, 3662, 781, 2067, 7226, 269, 11206, 22651, 946, 3595, 28755, 1188, 619, 538, 606, 3267, 4585, 3381, 454, 288, 17025, 630, 12914, 269, 476, 3066, 267, 476, 1001, 274, 264, 4139, 11176, 5182, 962, 11535, 12875, 2946, 543, 519, 2136, 8315, 5113, 1982, 630, 7419, 7968, 264, 30792, 513, 1007, 19710, 547, 8396, 519, 10363, 32334, 4123, 602, 12034, 5215, 540, 3979, 19246, 3267, 4585, 3381, 454, 20225, 269, 476, 274, 267, 476, 1001, 276, 634, 8937, 568, 606, 1271, 13111, 585, 3075, 15033, 4551, 3743, 585, 1272, 18446, 6413, 14092, 638, 1600, 5563, 269, 589, 1353, 538, 8983, 5359, 602, 1079, 540, 519, 1034, 1455, 15084, 15033, 3267, 1224, 811, 454, 20225, 269, 476, 275, 267, 476, 1001, 276, 4400, 6070, 538, 3037, 13497, 17613, 2030, 7350, 543, 6971, 519, 2208, 543, 6556, 540, 7031, 269, 3767, 3173, 723, 1336, 1808, 5946, 602, 1450, 2371, 547, 1332, 1732, 3267, 1224, 811, 454, 20225, 269, 476, 275, 267, 476, 1001, 276, 12207, 4974, 875, 513, 3002, 2000, 8221, 2890, 2041, 19132, 922, 5027, 689, 835, 5108, 547, 519, 1985, 2161, 621, 1223, 2417, 938, 1620, 540, 606, 9058, 24077, 1872, 269, 590, 5285, 565, 984, 639, 568, 851, 540, 519, 16329, 320, 3267, 1224, 811, 454, 20225, 269, 476, 275, 267, 476, 1001, 276, 589, 8772, 10568, 5444, 12044, 2357, 2522, 1436, 4534, 519, 6211, 1184, 8506, 4411, 5210, 547, 9594, 8768, 5250, 4534, 814, 1044, 4857, 267, 4758, 2030, 9742, 619, 835, 811, 1907, 585, 3267, 1224, 811, 454, 20225, 269, 476, 274, 267, 476, 1001, 276, 2107, 577, 1749, 267, 513, 6720, 16484, 7294, 543, 3309, 1895, 540, 15496, 2371, 267, 723, 1279, 20762, 519, 16678, 609, 519, 4190, 269, 2776, 16227, 267, 7762, 534, 1235, 723, 6069, 811, 982, 513, 3267, 1224, 811, 454, 20225, 269, 476, 274, 267, 476, 1001, 276, 12824, 3238, 538, 606, 3486, 5698, 2066, 3670, 5238, 723, 6707, 4857, 519, 3169, 5888, 540, 4262, 13131, 29086, 267, 799, 2306, 519, 2104, 1646, 540, 10991, 3267, 1224, 811, 454, 15037, 269, 476, 736, 267, 476, 1001, 275, 589, 3915, 5189, 883, 519, 1715, 3840, 3557, 22694, 1155, 3981, 532, 513, 27789, 7333, 593, 519, 9042, 540, 32334, 538, 1715, 3840, 3557, 267, 13909, 3915, 589, 6434, 273, 275, 267, 814, 1044, 20888, 676, 519, 13812, 11094, 5980, 269, 3267, 1224, 811, 454, 22261, 269, 476, 1015, 267, 476, 1001, 272, 18972, 1404, 513, 2484, 3152, 1909, 538, 519, 12556, 540, 3979, 19246, 982, 7226, 267, 543, 1480, 4655, 538, 1880, 814, 513, 14042, 1764, 593, 891, 4102, 18714, 2831, 267, 2687, 547, 513, 1007, 3267, 1224, 811, 0, 10907, 1258, 2096, 585, 21971, 762, 1982, 30154, 1224, 26209, 3965, 267, 543, 14733, 552, 324, 1790, 668, 267, 21768, 15375, 568, 513, 2027, 1826, 540, 3965, 602, 25601, 922, 9115, 2394, 621, 568, 6534, 547, 22292, 1769, 269, 634, 22292, 1769, 1579, 1513, 922, 9115, 267, 1818, 621, 2009, 547, 1065, 5766, 1090, 519, 3965, 269, 1677, 2328, 547, 543, 32135, 606, 21768, 15375, 267, 596, 991, 513, 2027, 3926, 1572, 513, 11550, 300, 27732, 610, 11550, 300, 6633, 518, 563, 2304, 21768, 15375, 15320, 689, 513, 11550, 300, 538, 602, 513, 11550, 300, 666, 581, 2854, 547, 1152, 2899, 543, 3112, 581, 2144, 1078, 269, 21768, 15375, 338, 616, 1031, 4922, 538, 2123, 5904, 1317, 789, 5512, 519, 10672, 547, 1689, 519, 9115, 540, 519, 11550, 300, 1354, 519, 2780, 568, 2965, 25855, 269, 901, 1797, 602, 17079, 2675, 534, 581, 6569, 543, 1007, 8747, 8704, 16172, 1354, 6765, 563, 9596, 827, 1142, 540, 519, 2947, 5481, 540, 5904, 543, 2101, 2029, 7835, 602, 723, 3366, 547, 519, 1699, 3457, 602, 649, 946, 2221, 269, 3367, 2859, 9732, 22102, 6355, 16373, 781, 4279, 652, 670, 1080, 454, 763, 1739, 28094, 540, 1507, 1870, 6725, 4388, 8711, 930, 540, 519, 4274, 5796, 3370, 936, 693, 9540, 6355, 17270, 269, 3367, 2859, 9732, 1724, 7454, 5131, 15692, 29393, 454, 5804, 5150, 20261, 547, 3561, 11049, 267, 938, 1283, 1863, 1590, 3620, 1511, 8924, 723, 1044, 15951, 267, 12649, 543, 3957, 519, 1655, 1863, 15692, 8924, 540, 476, 1001, 276, 269, 3367, 2859, 19314, 4415, 1942, 543, 3354, 538, 2247, 267, 649, 1413, 693, 2947, 6531, 4859, 3681, 602, 786, 9290, 519, 2115, 540, 1034, 1753, 543, 590, 11586, 5411, 269, 3367, 2859, 9732, 20360, 3298, 476, 1015, 9669, 585, 30325, 9008, 7193, 454, 26668, 2596, 4388, 547, 948, 596, 21160, 8837, 476, 1015, 593, 707, 18376, 7193, 269, 3367, 2859, 9732, 3066, 5131, 15692, 29393, 585, 22418, 21178, 571, 5529, 4841, 454, 5804, 530, 871, 344, 15372, 23234, 547, 11000, 10689, 2645, 543, 1310, 1362, 9913, 267, 891, 15692, 8924, 616, 513, 1434, 3514, 585, 513, 2875, 781, 1272, 543, 6578, 269, 3367, 2859, 19314, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 268, 13772, 13096, 14212, 781, 9375, 6276, 7395, 340, 790, 9793, 5180, 14456, 5717, 609, 10509, 4966, 689, 3549, 971, 607, 6452, 550, 675, 267, 667, 749, 267, 9791, 8614, 753, 8416, 267, 9786, 543, 811, 9732, 0, 2304, 3486, 803, 8615, 1606, 7220, 1788, 454, 763, 3486, 22011, 3626, 6323, 2146, 814, 2097, 1927, 547, 1020, 519, 12213, 26789, 3026, 583, 337, 3626, 15331, 630, 291, 7419, 292, 1070, 513, 3056, 12967, 4603, 585, 22011, 3626, 2257, 543, 23442, 9178, 2090, 269, 901, 4603, 267, 1927, 609, 519, 9744, 602, 786, 1489, 621, 267, 519, 7043, 5174, 553, 5202, 3026, 583, 337, 3626, 11120, 1006, 630, 299, 8042, 293, 1070, 786, 581, 606, 18368, 2966, 267, 20291, 543, 14102, 1982, 267, 18799, 693, 519, 674, 1069, 328, 2817, 24665, 1807, 12524, 630, 293, 1069, 559, 629, 264, 538, 15506, 822, 807, 267, 13325, 563, 288, 574, 532, 585, 13710, 8906, 827, 519, 7122, 454, 763, 667, 7419, 292, 4603, 568, 2966, 547, 3035, 8906, 602, 1223, 2981, 938, 1620, 540, 519, 8129, 543, 4720, 540, 519, 7122, 912, 268, 1684, 6120, 12541, 657, 8858, 2339, 268, 656, 574, 2660, 12623, 5471, 1845, 286, 5775, 342, 1359, 713, 2243, 786, 948, 19586, 519, 9814, 540, 1946, 2339, 5108, 13856, 602, 540, 17059, 2660, 538, 519, 2038, 7122, 563, 268, 667, 7419, 292, 779, 8343, 540, 5215, 540, 6120, 12541, 657, 689, 513, 4295, 2275, 3326, 8985, 31975, 320, 538, 519, 27305, 10158, 1131, 1450, 721, 547, 9263, 3330, 513, 9241, 268, 11526, 23377, 5182, 543, 5732, 7198, 519, 4332, 540, 513, 3109, 8559, 563, 268, 2060, 519, 1158, 779, 4102, 3956, 8328, 9325, 18785, 2620, 11895, 267, 667, 7419, 292, 786, 581, 2111, 547, 7747, 23442, 9178, 267, 952, 621, 1058, 2049, 267, 543, 3343, 513, 6935, 1063, 519, 6617, 540, 2339, 543, 519, 9835, 1133, 2305, 540, 4229, 269, 0, 297, 3253, 695, 2586, 267, 855, 23329, 1100, 3463, 454, 268, 3245, 281, 6673, 454, 268, 5412, 476, 5400, 267, 476, 1001, 273, 454, 307, 10498, 312, 302, 1164, 8573, 2478, 2220, 26359, 585, 1896, 3764, 267, 835, 2749, 4080, 513, 1507, 23329, 543, 693, 2547, 1079, 1004, 941, 27333, 13676, 1310, 513, 2178, 13091, 13351, 1055, 519, 5032, 540, 27040, 3567, 538, 519, 1482, 3148, 602, 729, 5734, 676, 513, 7372, 13091, 543, 23329, 2063, 1032, 563, 763, 3567, 25561, 1670, 10837, 1767, 519, 13091, 1185, 513, 16861, 9588, 540, 476, 278, 269, 274, 543, 13351, 538, 519, 7414, 7909, 1055, 519, 5032, 540, 631, 12011, 698, 328, 840, 2739, 675, 563, 763, 12473, 550, 516, 729, 476, 1015, 14790, 9944, 519, 26026, 539, 543, 476, 13301, 14790, 21369, 563, 5475, 519, 844, 820, 267, 8128, 9783, 513, 9963, 602, 513, 23329, 5732, 607, 1164, 607, 476, 273, 332, 1223, 5734, 269, 1772, 327, 514, 558, 13403, 267, 513, 2749, 538, 631, 12011, 698, 328, 267, 4080, 602, 513, 23329, 540, 476, 272, 332, 1185, 5734, 563, 300, 12011, 698, 328, 840, 2739, 1116, 7128, 1767, 972, 941, 1100, 7525, 5359, 540, 3441, 689, 519, 844, 820, 610, 23329, 267, 4352, 6808, 729, 1373, 11074, 538, 930, 4025, 547, 2638, 593, 9897, 563, 306, 790, 985, 32131, 2059, 519, 5032, 607, 1004, 10443, 585, 2362, 2666, 267, 855, 519, 7414, 570, 15711, 9564, 2782, 940, 10418, 1767, 972, 729, 1100, 1981, 540, 513, 7839, 23329, 563, 288, 476, 4037, 4458, 6040, 4807, 8593, 543, 729, 13676, 1247, 17355, 15070, 547, 25176, 689, 519, 23329, 267, 1857, 8613, 3376, 322, 2120, 19760, 298, 4080, 269, 898, 1767, 513, 1126, 729, 27333, 13676, 538, 519, 631, 12011, 698, 328, 2749, 540, 27189, 2967, 269, 631, 12011, 698, 328, 7128, 1767, 789, 1223, 711, 6166, 1346, 5359, 563, 14112, 569, 1354, 519, 13091, 13351, 267, 19760, 298, 13264, 1055, 2834, 5752, 547, 24633, 602, 513, 2178, 844, 820, 729, 1813, 547, 5734, 269, 30850, 267, 519, 3045, 1735, 1356, 14578, 24016, 782, 2282, 519, 5032, 547, 25176, 547, 2362, 2666, 563, 5415, 982, 606, 5662, 1310, 519, 844, 820, 13351, 267, 606, 796, 24887, 4013, 689, 519, 25561, 1670, 10837, 267, 6340, 593, 3084, 8613, 267, 4797, 547, 24633, 1004, 547, 3251, 2476, 689, 519, 5032, 563, 257, 8923, 1491, 782, 15416, 269, 7490, 3251, 593, 2362, 2666, 2437, 646, 1767, 563, 763, 23329, 10332, 6905, 689, 519, 9133, 540, 519, 1292, 6532, 540, 670, 976, 16852, 5176, 1524, 547, 19519, 267, 1498, 519, 9963, 585, 519, 1858, 1034, 2693, 547, 581, 5734, 729, 1152, 585, 519, 631, 12011, 698, 328, 5032, 563, 763, 9588, 268, 280, 269, 271, 13091, 543, 1671, 5224, 23329, 602, 1793, 25428, 883, 27040, 3567, 593, 4728, 476, 1556, 267, 476, 1001, 272, 267, 7166, 610, 2451, 7508, 930, 476, 866, 267, 1822, 1004, 267, 14042, 1454, 540, 519, 5032, 269, 2353, 855, 1079, 540, 3567, 781, 6046, 2371, 941, 9505, 1524, 585, 11974, 1310, 519, 13091, 543, 23329, 3361, 15835, 23957, 693, 519, 30738, 2313, 9874, 667, 2967, 16927, 14024, 6046, 2030, 538, 519, 10782, 6046, 9568, 2094, 519, 476, 2735, 277, 595, 3062, 984, 2643, 9568, 563, 3412, 9712, 2299, 1739, 519, 5767, 844, 820, 267, 972, 941, 1100, 2042, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 791, 8215, 547, 5912, 2724, 267, 8804, 267, 543, 3854, 13250, 538, 25472, 689, 5599, 2509, 6683, 543, 824, 2804, 2238, 269, 274, 454, 3528, 519, 476, 4350, 271, 338, 267, 513, 1533, 23418, 9285, 3043, 989, 337, 4115, 536, 28123, 12251, 773, 1185, 7153, 269, 634, 7766, 2333, 538, 5010, 2534, 538, 5599, 543, 6683, 20020, 18050, 519, 3747, 585, 9304, 269, 1677, 24390, 11777, 720, 22520, 267, 513, 4871, 17084, 3921, 12099, 729, 5293, 538, 476, 4572, 273, 2278, 2358, 4446, 743, 904, 7813, 543, 9208, 7813, 630, 8072, 1410, 6312, 686, 622, 8492, 32426, 547, 3390, 930, 4967, 269, 1809, 519, 6385, 3395, 6694, 5823, 1223, 711, 581, 13455, 676, 27352, 9783, 4967, 267, 971, 602, 676, 476, 4350, 279, 519, 8828, 10910, 3941, 807, 4354, 6275, 8274, 630, 306, 13612, 289, 264, 1185, 1044, 3964, 563, 26807, 569, 267, 519, 10206, 540, 513, 4354, 6275, 8274, 729, 6322, 693, 2048, 323, 20995, 11325, 21045, 9957, 634, 1163, 27074, 622, 8492, 941, 3274, 11876, 8973, 2724, 1510, 27513, 2590, 2199, 4853, 1646, 269, 5015, 267, 4354, 6275, 8274, 12417, 10630, 519, 23019, 2470, 540, 3043, 6683, 693, 519, 942, 269, 26478, 22157, 547, 6467, 689, 7693, 547, 7693, 4470, 593, 4397, 7024, 269, 9182, 267, 519, 1163, 27074, 622, 8492, 14365, 10696, 547, 8963, 11325, 1147, 680, 4926, 32338, 908, 689, 1346, 23019, 26136, 563, 308, 985, 584, 29418, 267, 519, 476, 4350, 271, 338, 4346, 11696, 1194, 6093, 7810, 2175, 267, 711, 5976, 9227, 8938, 1296, 540, 1582, 3766, 17922, 269, 13317, 626, 1894, 941, 13671, 538, 519, 4914, 24804, 5599, 543, 6694, 3119, 2472, 9922, 269, 769, 2490, 267, 519, 3119, 2472, 5823, 729, 8185, 20218, 2509, 519, 1158, 2344, 269, 769, 1249, 267, 1034, 2804, 2534, 2847, 9407, 1472, 4154, 5599, 543, 10269, 21212, 267, 799, 729, 30758, 585, 519, 13143, 2344, 563, 1607, 8580, 15802, 19632, 606, 6946, 2078, 1063, 6469, 543, 3486, 3854, 269, 634, 6364, 729, 23801, 538, 5935, 606, 608, 27238, 20218, 1106, 540, 3854, 13250, 602, 814, 28815, 547, 713, 1554, 267, 23344, 538, 1114, 3029, 563, 1103, 519, 476, 4350, 271, 338, 267, 519, 3395, 3310, 540, 3936, 2401, 21445, 2504, 538, 5599, 543, 10269, 8105, 5921, 602, 6469, 3854, 729, 15980, 513, 21045, 689, 18368, 911, 323, 762, 21113, 269, 1924, 267, 1022, 556, 268, 16539, 1147, 680, 4926, 538, 519, 13143, 9922, 2179, 539, 547, 519, 1483, 2208, 540, 6469, 3854, 269, 1809, 519, 5007, 10066, 540, 6469, 3854, 5921, 602, 621, 729, 632, 1249, 334, 3486, 267, 711, 2547, 1317, 922, 12093, 729, 8200, 593, 1104, 532, 11378, 543, 13143, 532, 3977, 563, 2690, 713, 2601, 267, 519, 7269, 540, 6469, 3854, 15398, 519, 3747, 585, 20558, 269, 9182, 267, 1104, 18839, 6080, 7153, 269, 8298, 1227, 267, 713, 1572, 585, 513, 1062, 540, 5883, 20558, 543, 18666, 269, 9747, 267, 519, 10910, 3941, 1014, 1533, 7960, 547, 4383, 519, 3892, 540, 3486, 11449, 1379, 2804, 543, 13075, 16285, 538, 476, 2641, 560, 2540, 4000, 12236, 538, 519, 8513, 563, 1103, 713, 1769, 267, 519, 13075, 1062, 3274, 6039, 547, 2048, 323, 1853, 339, 685, 513, 6712, 540, 519, 3486, 11449, 1379, 12236, 689, 4154, 543, 6694, 2472, 585, 519, 4324, 540, 519, 2197, 779, 3043, 2551, 269, 898, 568, 1271, 547, 4063, 602, 10910, 3941, 807, 779, 840, 21351, 3043, 2551, 16922, 513, 6917, 536, 28123, 12251, 773, 3238, 538, 6683, 543, 5599, 267, 13230, 4600, 267, 543, 513, 9467, 4620, 1399, 536, 28123, 12251, 773, 563, 310, 3951, 310, 2969, 8991, 305, 13263, 281, 634, 31864, 31662, 8681, 610, 12725, 519, 11969, 568, 513, 476, 6321, 14790, 1279, 4224, 5250, 538, 3162, 4000, 9967, 540, 4154, 24481, 21247, 924, 4224, 267, 1216, 17517, 267, 2272, 585, 519, 2012, 31864, 31662, 8681, 267, 2495, 968, 19009, 1216, 25170, 892, 538, 2279, 27996, 753, 269, 589, 1390, 4308, 540, 3162, 4000, 779, 5763, 2501, 689, 1934, 607, 1134, 607, 519, 2012, 540, 3162, 4000, 779, 9304, 267, 519, 11969, 563, 14701, 18688, 8991, 281, 18924, 4637, 941, 4362, 593, 519, 3484, 540, 519, 632, 2142, 619, 14552, 3544, 13690, 828, 2917, 538, 519, 8832, 15729, 538, 476, 5908, 280, 269, 589, 14776, 19060, 4553, 543, 538, 476, 6942, 272, 519, 632, 2142, 619, 14552, 941, 7142, 547, 6133, 741, 3484, 269, 589, 1762, 3703, 812, 267, 595, 1815, 559, 3627, 10910, 3941, 267, 3459, 17849, 856, 1216, 15450, 547, 14776, 19379, 543, 1287, 3459, 9140, 909, 5599, 6811, 269, 1261, 729, 24574, 1229, 676, 4436, 4035, 21238, 2142, 527, 269, 769, 476, 6642, 279, 10910, 3941, 11751, 856, 1010, 1292, 15180, 4446, 2284, 4446, 333, 6737, 267, 8227, 540, 519, 13690, 828, 2917, 27339, 14086, 7577, 609, 519, 948, 540, 519, 681, 16251, 18876, 1920, 543, 4646, 519, 1546, 2142, 619, 27339, 14086, 7577, 269, 1546, 2142, 619, 1287, 1185, 1852, 540, 782, 14776, 5599, 538, 3162, 4000, 269, 1635, 519, 1439, 540, 519, 476, 736, 628, 2540, 267, 1546, 2142, 619, 6417, 936, 476, 3199, 260, 540, 1158, 4123, 538, 11315, 19987, 282, 1813, 547, 3395, 1158, 6735, 602, 568, 1631, 1524, 547, 896, 476, 1789, 18336, 763, 1004, 540, 25472, 1185, 1044, 20857, 543, 9513, 4154, 547, 4914, 18318, 267, 6259, 267, 4210, 1695, 8270, 267, 14082, 267, 4095, 543, 4457, 585, 5553, 1354, 519, 27505, 518, 28758, 269, 4279, 25472, 729, 3710, 7361, 1317, 540, 713, 4123, 269, 634, 1034, 3362, 2139, 4154, 1185, 1044, 24776, 1279, 1354, 3935, 5314, 563, 23219, 543, 5403, 8862, 541, 13317, 6452, 636, 1637, 543, 3933, 8767, 9534, 454, 763, 12176, 540, 519, 5822, 2622, 2782, 4838, 2213, 3854, 13250, 3157, 538, 8828, 10910, 3941, 807, 269, 4107, 3648, 267, 621, 25623, 513, 1184, 540, 7415, 2804, 2208, 563, 1103, 519, 476, 4350, 271, 338, 519, 4346, 7283, 896, 16467, 539, 267, 543, 24715, 656, 538, 851, 267, 1317, 540, 513, 3668, 540, 4835, 3747, 269, 1717, 267, 609, 519, 2782, 2921, 909, 1034, 540, 519, 1158, 779, 2200, 267, 16865, 5370, 2968, 17077, 269, 5015, 267, 513, 2518, 17732, 540, 6694, 3132, 2813, 513, 5458, 2344, 585, 2199, 6705, 269, 901, 2813, 3747, 585, 2199, 6080, 563, 7197, 26374, 1498, 729, 606, 2011, 2866, 10325, 8045, 538, 519, 2197, 538, 14966, 609, 519, 3703, 2229, 269, 7201, 519, 10325, 267, 10910, 3941, 807, 13859, 2011, 10473, 267, 20453, 267, 2244, 267, 5656, 267, 543, 11668, 547, 1628, 7098, 617, 27689, 563, 26139, 267, 713, 9450, 519, 2344, 585, 6705, 543, 4853, 10909, 267, 4611, 538, 519, 2468, 7204, 540, 14407, 5663, 3977, 1063, 476, 4350, 280, 543, 476, 3707, 277, 269, 634, 909, 3333, 582, 729, 519, 11944, 540, 513, 2048, 2006, 3011, 1005, 24041, 1362, 685, 8185, 6417, 676, 3703, 543, 3162, 3979, 3854, 563, 5475, 519, 2112, 267, 1007, 5007, 8102, 1218, 13455, 2804, 26255, 3599, 282, 1034, 16113, 267, 513, 2022, 8862, 541, 1164, 3747, 585, 6151, 2326, 267, 606, 27614, 540, 3703, 543, 3162, 3979, 11082, 267, 543, 3854, 2095, 883, 519, 8513, 269, 1520, 4765, 547, 713, 941, 519, 2360, 540, 519, 12900, 540, 519, 7108, 9208, 267, 799, 17956, 10910, 3941, 807, 513, 15393, 2990, 538, 23478, 6628, 609, 10269, 563, 10702, 267, 519, 18966, 540, 10910, 3941, 807, 543, 27526, 29569, 663, 799, 11478, 689, 476, 4198, 274, 547, 476, 3422, 274, 11097, 2989, 519, 2344, 585, 8828, 10910, 3941, 1014, 6080, 269, 1306, 513, 1267, 267, 13075, 12417, 7960, 547, 1489, 519, 1630, 4040, 24041, 4346, 269, 10871, 12948, 3323, 547, 1491, 3597, 971, 602, 519, 2671, 540, 2199, 7221, 547, 2698, 7221, 4371, 676, 519, 1079, 1163, 27074, 622, 8492, 2799, 676, 476, 6321, 260, 538, 476, 3707, 277, 267, 543, 476, 10170, 260, 538, 476, 3707, 278, 563, 3719, 1034, 9565, 1310, 519, 2112, 729, 519, 1909, 540, 3162, 3979, 543, 3703, 3854, 1102, 869, 338, 269, 3703, 3854, 16922, 19366, 1121, 8636, 1734, 267, 10211, 23231, 906, 267, 543, 23131, 689, 5507, 9783, 7963, 269, 3162, 3979, 3854, 8928, 267, 593, 519, 824, 1688, 267, 10630, 519, 15398, 31536, 542, 676, 3486, 3854, 538, 519, 12687, 540, 519, 476, 3707, 279, 11802, 540, 519, 2817, 9549, 269, 272, 454, 306, 4822, 10910, 3941, 807, 3976, 2968, 606, 4244, 5092, 10278, 269, 9521, 538, 519, 2250, 17929, 5507, 9541, 5293, 998, 29312, 7921, 267, 689, 519, 3735, 476, 3707, 271, 338, 5507, 3323, 547, 1902, 2047, 538, 8828, 10910, 3941, 807, 269, 5221, 540, 713, 267, 4914, 5092, 2468, 9482, 1063, 476, 3707, 278, 543, 476, 3707, 280, 267, 8757, 11278, 7906, 2929, 676, 476, 4198, 272, 563, 763, 1476, 26475, 540, 4028, 4853, 3366, 2804, 2208, 543, 15398, 3854, 1102, 869, 1223, 1100, 3476, 581, 13455, 676, 513, 4354, 6275, 8274, 269, 5047, 267, 519, 4028, 7269, 540, 519, 5663, 2872, 4547, 827, 2804, 6988, 269, 901, 729, 28978, 676, 513, 17732, 540, 1977, 9489, 543, 606, 31587, 10322, 1782, 1821, 2728, 566, 563, 17798, 267, 519, 8828, 10910, 3941, 1014, 8128, 18931, 602, 952, 4853, 5314, 941, 547, 8399, 12347, 267, 972, 729, 513, 991, 547, 1852, 2724, 3761, 269, 634, 1671, 5224, 7521, 2847, 9407, 1472, 2436, 2883, 5238, 941, 782, 20814, 2200, 2509, 519, 1034, 11327, 9922, 543, 875, 789, 1223, 581, 14931, 563, 1103, 519, 1439, 267, 513, 3844, 4871, 267, 519, 15944, 7813, 540, 10910, 3941, 807, 267, 729, 3964, 538, 476, 4198, 277, 1317, 621, 729, 9763, 607, 811, 2500, 693, 12018, 1646, 607, 1134, 607, 7682, 532, 16285, 936, 2724, 3379, 547, 513, 4354, 6275, 8274, 269, 769, 824, 1913, 267, 513, 3844, 4871, 729, 16363, 3514, 585, 7561, 5883, 3486, 11449, 1379, 269, 4014, 519, 5663, 2872, 729, 519, 1034, 9565, 3815, 538, 10910, 3941, 807, 779, 24041, 2804, 1646, 538, 519, 2022, 21351, 1974, 267, 621, 3771, 321, 10696, 1079, 2101, 32475, 563, 5575, 281, 1813, 547, 922, 26638, 267, 621, 1223, 711, 14526, 593, 513, 2518, 4336, 269, 1280, 713, 2601, 267, 922, 1967, 729, 8200, 593, 606, 9450, 2199, 2344, 269, 8616, 267, 952, 3747, 729, 547, 581, 2799, 267, 972, 729, 513, 991, 547, 2087, 519, 9140, 1379, 540, 519, 5354, 3109, 2551, 269, 1677, 798, 713, 1131, 723, 5921, 15024, 547, 519, 6694, 5823, 799, 267, 538, 2490, 267, 1131, 723, 27797, 519, 20833, 9565, 3043, 28929, 1362, 563, 13553, 281, 519, 7269, 540, 5663, 2872, 16941, 593, 4914, 9304, 689, 519, 13143, 540, 3119, 2472, 269, 898, 1223, 3976, 581, 1767, 10910, 3941, 807, 1185, 513, 1106, 540, 8200, 4853, 5314, 563, 1103, 2040, 267, 10910, 3941, 807, 779, 5663, 16851, 2838, 585, 922, 7269, 519, 3448, 29083, 540, 2713, 2175, 540, 519, 1360, 5049, 593, 799, 621, 1869, 8185, 31030, 563, 12892, 569, 267, 2782, 543, 2022, 8862, 541, 2804, 1646, 941, 10483, 676, 7839, 1689, 563, 5575, 281, 1851, 519, 2197, 779, 3043, 2551, 267, 972, 729, 513, 6521, 538, 1379, 689, 4620, 1399, 20161, 12696, 2509, 13230, 4600, 269, 769, 519, 3735, 476, 4198, 271, 338, 267, 10910, 3941, 1014, 3043, 13230, 4600, 9782, 547, 1831, 930, 540, 519, 1655, 6976, 11451, 7064, 547, 519, 2048, 1478, 268, 21459, 15041, 7877, 685, 538, 9952, 23909, 269, 901, 8580, 15802, 5795, 3043, 4600, 513, 2178, 29541, 2990, 563, 13553, 281, 2804, 2208, 18965, 519, 4473, 540, 606, 3979, 605, 2280, 30353, 269, 769, 2490, 267, 713, 4547, 827, 3979, 18541, 543, 7569, 585, 2362, 13848, 543, 4824, 2324, 2175, 563, 23612, 281, 2527, 543, 3854, 25673, 2504, 17146, 11668, 7569, 689, 5667, 330, 2683, 27540, 11668, 540, 519, 8105, 1826, 4724, 9952, 11668, 563, 2467, 729, 3976, 606, 1719, 676, 519, 5663, 1362, 547, 14020, 519, 29541, 1379, 540, 3043, 4600, 676, 5885, 519, 7269, 540, 3979, 9952, 543, 1875, 17907, 783, 11668, 563, 272, 269, 634, 11802, 540, 519, 2817, 9549, 538, 519, 5176, 782, 22554, 3162, 3979, 4937, 30760, 540, 476, 3707, 279, 729, 711, 17329, 676, 519, 3703, 2229, 269, 1496, 5278, 2051, 10696, 543, 20338, 538, 519, 15729, 1185, 513, 3908, 29929, 1759, 593, 3959, 9562, 855, 1223, 1152, 1528, 513, 3043, 1268, 547, 2099, 873, 538, 12057, 4940, 634, 25679, 540, 631, 1149, 543, 519, 3703, 2229, 7957, 10696, 11788, 10579, 3967, 3911, 7491, 267, 855, 621, 729, 667, 12171, 269, 5689, 534, 267, 606, 2279, 686, 16988, 518, 945, 554, 730, 519, 3703, 543, 945, 1185, 1044, 513, 1139, 7163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20766, 10692, 7258, 5256, 19379, 14053, 5126, 543, 7862, 780, 4089, 476, 275, 281, 16497, 4121, 543, 1764, 2221, 454, 763, 9620, 543, 29217, 540, 519, 4074, 3350, 538, 25429, 32108, 781, 5755, 5599, 10034, 2709, 3407, 4245, 585, 721, 2221, 269, 1284, 1451, 827, 6043, 267, 7555, 909, 585, 835, 781, 2924, 267, 543, 2146, 17604, 269, 3958, 267, 1620, 713, 851, 540, 4516, 781, 1686, 2636, 721, 547, 5660, 875, 2484, 649, 723, 2097, 3823, 11832, 20038, 1247, 9301, 972, 568, 1869, 3356, 547, 581, 1500, 780, 6962, 912, 3528, 3695, 519, 2984, 540, 5755, 5599, 10034, 538, 25429, 32108, 267, 649, 1294, 875, 4948, 1004, 666, 1198, 9058, 1689, 269, 3414, 8990, 267, 9316, 267, 543, 18094, 267, 4074, 15628, 6913, 7415, 24984, 543, 21490, 519, 1259, 585, 2104, 5481, 269, 4256, 9371, 5170, 547, 8300, 1346, 8165, 585, 1514, 5126, 543, 9698, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 307, 2586, 1927, 267, 891, 4507, 786, 16401, 519, 13848, 543, 26038, 540, 23671, 2864, 982, 2232, 519, 1483, 2042, 538, 4516, 779, 2816, 2344, 563, 2026, 21621, 543, 16857, 10480, 518, 725, 540, 11668, 3401, 267, 8204, 936, 1614, 2929, 4600, 267, 649, 616, 10912, 593, 519, 6566, 4536, 547, 1796, 609, 519, 4600, 540, 4516, 1996, 713, 10464, 11668, 4640, 563, 20288, 793, 20709, 281, 634, 570, 3637, 14579, 4518, 518, 5358, 630, 307, 293, 310, 303, 264, 568, 711, 11776, 269, 898, 779, 14226, 269, 1452, 4600, 267, 1034, 540, 7247, 616, 26525, 543, 5275, 513, 1732, 1272, 267, 616, 1373, 1031, 547, 1711, 606, 896, 5035, 547, 5397, 1524, 519, 13848, 543, 2324, 2175, 540, 23671, 269, 898, 779, 711, 4023, 610, 1175, 547, 873, 610, 547, 741, 8225, 1071, 22086, 619, 269, 634, 2487, 3375, 676, 519, 22489, 20271, 2510, 547, 1450, 12820, 547, 2628, 10151, 4914, 4600, 476, 1428, 260, 1447, 568, 513, 1025, 520, 656, 1383, 540, 922, 1970, 2914, 720, 4640, 563, 4415, 476, 272, 269, 274, 2929, 32014, 543, 1896, 4627, 8536, 811, 27209, 610, 3768, 699, 332, 23903, 23671, 267, 938, 1445, 1058, 581, 593, 3246, 3255, 585, 4516, 779, 11552, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 4516, 1315, 28393, 1017, 267, 17197, 3645, 1299, 10871, 1315, 4937, 1315, 23267, 28073, 538, 25429, 32108, 15021, 14086, 24104, 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, 594, 3314, 950, 594, 1101, 4362, 519, 4241, 1158, 540, 2230, 3408, 269, 898, 782, 3323, 609, 513, 2241, 2243, 910, 834, 7617, 4541, 538, 938, 3859, 1062, 729, 1101, 10272, 676, 513, 14361, 8119, 1306, 606, 28048, 5467, 540, 15473, 6131, 547, 17184, 13300, 267, 594, 4956, 547, 4685, 883, 15388, 713, 1888, 8885, 780, 309, 523, 639, 267, 938, 14191, 7023, 1310, 22358, 267, 5828, 856, 547, 581, 519, 2626, 269, 3733, 2295, 2220, 8215, 609, 11348, 6616, 602, 621, 729, 2965, 519, 8168, 5742, 945, 1500, 1686, 609, 741, 10469, 5028, 476, 272, 5692, 538, 476, 3422, 272, 267, 1256, 1498, 621, 19890, 11124, 689, 513, 2930, 1350, 3558, 269, 1809, 30971, 267, 5821, 568, 1175, 1776, 1900, 2509, 1967, 267, 1318, 286, 2334, 781, 1945, 649, 666, 782, 9305, 547, 2439, 12179, 3118, 267, 3728, 4464, 547, 10469, 5028, 476, 274, 267, 799, 6368, 7307, 547, 16154, 268, 1633, 593, 19026, 262, 20935, 2627, 538, 476, 3422, 277, 269, 1548, 4553, 941, 2247, 1532, 27172, 11240, 725, 827, 3047, 781, 1412, 338, 3563, 262, 4541, 269, 570, 5281, 856, 267, 19026, 814, 930, 3978, 10845, 2359, 2152, 1107, 922, 2837, 865, 1513, 1657, 476, 29121, 5232, 17622, 630, 7474, 781, 28555, 982, 707, 14089, 1282, 21175, 12129, 3341, 14386, 7064, 547, 922, 5394, 5790, 16041, 609, 8511, 3154, 22299, 2910, 273, 269, 1656, 952, 596, 1589, 2518, 8337, 568, 3983, 1934, 593, 3047, 267, 4952, 2348, 20962, 584, 545, 3679, 986, 1456, 1524, 689, 519, 22839, 899, 789, 798, 593, 19026, 2439, 3719, 1287, 3357, 519, 4729, 6335, 267, 835, 602, 2451, 803, 31153, 1250, 2212, 585, 2395, 269, 5457, 875, 594, 5018, 19026, 1373, 1572, 3047, 781, 11078, 286, 4270, 267, 2687, 547, 2487, 6436, 267, 891, 1079, 1522, 711, 581, 31127, 1644, 1310, 782, 256, 2368, 3744, 3494, 602, 19026, 949, 723, 12090, 11992, 538, 519, 14925, 1354, 3478, 7550, 676, 938, 6129, 269, 3767, 3884, 1405, 8946, 2969, 1945, 2786, 856, 540, 513, 1414, 30235, 7260, 31841, 1607, 2898, 3460, 18056, 803, 540, 1250, 1378, 1920, 3529, 14196, 269, 19663, 909, 267, 594, 2141, 2219, 594, 729, 851, 9721, 2394, 5027, 4152, 9863, 6382, 269, 3807, 899, 875, 9670, 621, 729, 585, 803, 547, 1265, 856, 827, 1250, 3020, 6561, 267, 1565, 827, 19026, 262, 2009, 31373, 14111, 5072, 3773, 513, 1007, 4494, 540, 6988, 543, 26675, 547, 938, 3859, 1062, 781, 1650, 780, 3383, 972, 596, 723, 621, 267, 11570, 269, 11408, 1832, 15819, 267, 20857, 4514, 267, 1317, 3006, 267, 4641, 666, 581, 811, 27314, 982, 5708, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 7617, 4541, 538, 938, 3859, 1062, 729, 1101, 10272, 676, 513, 14361, 267, 543, 1018, 1705, 649, 1451, 689, 713, 5692, 888, 763, 1101, 4541, 538, 938, 3859, 1062, 547, 581, 10272, 676, 513, 14361, 729, 19026, 269, 634, 1101, 5692, 547, 19026, 729, 519, 8168, 5742, 781, 10469, 5028, 476, 272, 538, 476, 3422, 272, 267, 855, 621, 8959, 547, 1685, 922, 5692, 1813, 547, 513, 2930, 29840, 269, 634, 1101, 3811, 5692, 729, 10469, 5028, 476, 274, 267, 799, 1835, 14414, 593, 519, 2627, 540, 19026, 538, 476, 3422, 277, 269, 4427, 2425, 550, 13485, 547, 19026, 267, 971, 607, 10469, 5028, 476, 278, 543, 476, 280, 267, 7000, 602, 519, 4541, 781, 2627, 568, 11212, 3905, 543, 11375, 2214, 3386, 547, 1272, 267, 609, 5210, 8757, 936, 476, 29121, 9180, 543, 513, 5394, 5790, 7768, 5631, 540, 3327, 8166, 269, 634, 14361, 849, 1336, 2963, 540, 15027, 2534, 543, 513, 1164, 5834, 540, 16247, 545, 3679, 538, 519, 5790, 269, 3958, 267, 519, 1239, 6394, 676, 891, 13485, 729, 1031, 547, 2087, 938, 1620, 540, 519, 8129, 543, 4720, 540, 10785, 538, 938, 3859, 1062, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 8702, 547, 938, 3408, 540, 1876, 267, 5026, 267, 543, 23153, 1143, 256, 4653, 267, 649, 786, 4685, 883, 513, 4241, 1523, 1572, 519, 834, 743, 889, 1062, 257, 543, 875, 621, 12211, 547, 25046, 538, 5026, 269, 901, 1062, 4249, 513, 1713, 1909, 538, 1082, 2477, 1472, 519, 1158, 267, 1519, 2342, 267, 519, 2136, 2276, 267, 4516, 267, 5245, 267, 3567, 267, 543, 1256, 930, 2694, 540, 4000, 269, 1924, 1577, 781, 1205, 3323, 2439, 5331, 596, 543, 707, 2828, 6430, 547, 1106, 513, 13558, 2319, 1175, 585, 1187, 269, 1411, 2259, 1927, 1169, 3018, 267, 1404, 2199, 3756, 1996, 824, 6887, 267, 543, 2972, 1373, 851, 540, 1945, 2027, 269, 3767, 267, 4952, 952, 707, 2370, 1895, 1185, 513, 4960, 547, 14526, 7258, 3318, 9845, 538, 3486, 4663, 23788, 14693, 286, 16319, 899, 513, 5326, 2097, 3020, 267, 1318, 286, 4270, 267, 602, 781, 1141, 519, 8630, 1062, 2501, 883, 1404, 2439, 288, 8630, 1062, 4016, 547, 513, 3060, 540, 3906, 630, 528, 15731, 264, 3743, 585, 12044, 1585, 5026, 1369, 741, 9757, 2950, 269, 1452, 15731, 1419, 12840, 609, 835, 1776, 896, 3677, 22597, 3906, 267, 971, 607, 3084, 610, 6237, 7328, 12205, 269, 634, 5898, 540, 891, 1949, 6013, 538, 5009, 13784, 543, 3255, 585, 1312, 14971, 993, 622, 2720, 543, 19023, 4648, 7567, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 1946, 713, 6927, 676, 3695, 922, 4295, 2418, 780, 1262, 26322, 22580, 5093, 11833, 5026, 5000, 1004, 689, 1114, 10080, 547, 7119, 538, 18942, 2238, 1247, 5807, 2178, 2146, 7554, 269, 1635, 11836, 513, 8630, 267, 2818, 2744, 1569, 547, 2200, 267, 18006, 267, 543, 2866, 1898, 585, 2123, 2208, 543, 1646, 269, 5994, 4687, 707, 6612, 585, 14912, 609, 8284, 12439, 945, 1831, 15400, 2828, 2059, 519, 1259, 2439, 1262, 26073, 1811, 547, 28742, 5093, 634, 8630, 1062, 3091, 2312, 11444, 585, 16805, 2043, 3168, 547, 4434, 741, 1983, 543, 5732, 2490, 605, 269, 3414, 11826, 6735, 16131, 267, 16918, 19002, 3292, 267, 543, 4296, 547, 2362, 7400, 682, 8046, 267, 6131, 5716, 666, 24917, 741, 4739, 543, 3035, 30493, 269, 6056, 540, 621, 899, 16246, 513, 21117, 282, 1142, 2196, 326, 4564, 513, 1007, 4161, 543, 4316, 547, 1332, 780, 1262, 8649, 19812, 1143, 1299, 4432, 580, 2225, 5093, 1677, 2327, 14619, 267, 1034, 8630, 1949, 2154, 5171, 547, 2743, 1978, 7355, 1354, 12721, 693, 1808, 2157, 269, 19612, 607, 834, 600, 19812, 3652, 2437, 891, 4170, 3335, 4125, 2085, 9993, 267, 32031, 4808, 267, 543, 3872, 23944, 28987, 269, 1358, 948, 1711, 513, 1377, 4730, 2361, 543, 8190, 519, 8699, 540, 19194, 269, 3807, 899, 2348, 3652, 538, 513, 3014, 8952, 3025, 9237, 543, 7722, 267, 23153, 6042, 3895, 3160, 8458, 585, 1967, 1851, 15712, 780, 4131, 781, 9414, 713, 1210, 3950, 543, 2361, 2621, 538, 1164, 3506, 2066, 3013, 269, 14597, 513, 2875, 3957, 5981, 9909, 540, 8840, 5638, 543, 10888, 1533, 23594, 4721, 269, 1717, 267, 972, 616, 3652, 17548, 602, 1152, 2407, 6066, 1053, 19801, 538, 513, 1857, 610, 4357, 1164, 1153, 949, 7119, 538, 954, 338, 3273, 2880, 7619, 923, 269, 3958, 267, 789, 1590, 2226, 25685, 4081, 3356, 543, 16783, 609, 1022, 824, 23616, 2827, 1305, 8521, 676, 741, 1533, 7681, 269, 1635, 20170, 547, 891, 4441, 267, 5981, 3788, 14718, 547, 11654, 18710, 593, 519, 3950, 11652, 6148, 7118, 513, 2852, 14172, 1524, 519, 4155, 2439, 3383, 1631, 596, 917, 811, 827, 519, 8630, 1062, 543, 922, 4644, 950, 621, 2501, 547, 5026, 267, 23153, 1143, 267, 543, 25046, 269, 3143, 2339, 1141, 596, 2661, 610, 799, 7328, 19306, 707, 9345, 267, 1620, 891, 17950, 786, 4196, 596, 1134, 1312, 593, 543, 1055, 519, 2361, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 519, 3105, 2376, 267, 834, 1432, 781, 4636, 609, 21977, 7612, 4787, 908, 18966, 8119, 649, 14437, 827, 5026, 10350, 3631, 1107, 8168, 267, 3345, 12677, 267, 543, 3864, 1107, 543, 13713, 5018, 519, 1249, 602, 789, 960, 1134, 952, 789, 616, 13988, 609, 513, 2197, 781, 10350, 1062, 269, 1809, 649, 4769, 1405, 4228, 1454, 593, 1018, 621, 2965, 1797, 563, 15919, 621, 12777, 1797, 12805, 519, 2797, 543, 1514, 3889, 540, 519, 2197, 269, 1280, 1383, 267, 538, 19934, 267, 3592, 782, 5026, 723, 1079, 10480, 518, 725, 1107, 3943, 268, 543, 10656, 18702, 3283, 269, 2107, 538, 8050, 267, 2907, 4540, 8630, 1062, 729, 2655, 21114, 609, 513, 31344, 958, 18170, 2497, 609, 2817, 11846, 1546, 5586, 566, 1282, 519, 476, 2412, 1296, 540, 30473, 781, 28983, 1222, 267, 543, 1287, 23564, 1394, 269, 1809, 6140, 621, 1797, 10452, 3741, 519, 2486, 568, 3710, 2390, 267, 543, 519, 8630, 1062, 568, 513, 3501, 2013, 547, 2491, 713, 563, 763, 2470, 540, 519, 8630, 1062, 454, 5141, 889, 1062, 568, 693, 519, 2295, 540, 782, 5026, 10350, 3631, 538, 782, 3864, 2477, 267, 538, 519, 7330, 267, 4516, 267, 5245, 267, 3567, 267, 543, 538, 930, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 11846, 1315, 2549, 19812, 1143, 543, 4432, 580, 2225, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27283, 519, 6946, 13795, 540, 18714, 5117, 6114, 547, 2250, 2916, 2242, 269, 3414, 11826, 13753, 540, 4224, 2482, 1359, 267, 11159, 566, 12583, 267, 543, 8659, 24790, 540, 3504, 1272, 3029, 267, 3173, 666, 4062, 1927, 8903, 6386, 5750, 532, 3047, 781, 6422, 3460, 998, 2620, 942, 269, 11086, 267, 891, 3646, 24772, 5571, 14365, 2293, 6322, 693, 20925, 31587, 2591, 530, 3754, 676, 10236, 4094, 1227, 13251, 8337, 1247, 8195, 10223, 2470, 781, 30840, 9624, 13346, 1666, 3894, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8139, 519, 18714, 5117, 543, 922, 3210, 547, 2518, 2916, 1689, 568, 2565, 585, 12570, 519, 5222, 540, 1699, 543, 2104, 2916, 1689, 269, 1717, 267, 649, 1869, 917, 5266, 2370, 827, 519, 1259, 18714, 8134, 2965, 4431, 547, 2916, 1689, 269, 3194, 538, 519, 3212, 28500, 3194, 6828, 568, 5059, 593, 1620, 875, 2825, 1689, 11479, 12105, 3157, 538, 2371, 543, 2831, 269, 13018, 267, 938, 2978, 779, 1382, 568, 5059, 593, 18949, 532, 3504, 16374, 543, 8134, 998, 942, 538, 3345, 3013, 543, 5101, 4000, 267, 543, 593, 3384, 1732, 543, 811, 4977, 12779, 16438, 1493, 543, 12779, 334, 1815, 1670, 9938, 625, 269, 1677, 798, 713, 649, 11753, 2409, 538, 12779, 984, 582, 1415, 267, 14498, 267, 12779, 665, 3916, 26331, 267, 11159, 1108, 267, 14404, 19973, 267, 543, 12779, 558, 24599, 1143, 269, 11778, 689, 713, 1382, 2232, 513, 3376, 8552, 540, 2055, 6322, 693, 1620, 519, 5817, 6384, 540, 2825, 267, 1979, 5328, 267, 543, 20296, 1689, 998, 942, 563, 7437, 1382, 538, 938, 2978, 267, 649, 2832, 547, 2626, 2055, 827, 554, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 3047, 7070, 1315, 20767, 2939, 1108, 1299, 31854, 19973, 1315, 19077, 739, 7806, 19973, 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, 2026, 851, 540, 707, 1035, 743, 11582, 1184, 267, 649, 3513, 3391, 596, 998, 513, 4241, 2534, 281, 8384, 2407, 9413, 2228, 1210, 513, 3896, 1572, 12389, 8606, 916, 630, 331, 1516, 16344, 916, 3820, 1040, 901, 3102, 5850, 786, 3802, 596, 998, 1169, 1900, 267, 7713, 14542, 2035, 543, 3246, 5813, 883, 1480, 2623, 780, 1262, 3721, 476, 272, 281, 21733, 3931, 513, 27620, 12533, 2414, 2253, 267, 596, 3513, 991, 513, 3926, 602, 666, 1921, 547, 519, 4950, 269, 1411, 1522, 1294, 3425, 8876, 1472, 1507, 267, 30437, 25965, 282, 891, 616, 1572, 16389, 610, 5985, 11436, 269, 17968, 267, 789, 949, 946, 3677, 267, 6366, 3457, 609, 1883, 15236, 267, 1634, 607, 24195, 610, 5904, 269, 1280, 1631, 267, 1577, 781, 1445, 593, 1210, 835, 540, 891, 3457, 780, 265, 4855, 513, 6899, 1747, 547, 1694, 267, 899, 513, 11381, 610, 4172, 577, 563, 265, 6733, 1472, 585, 835, 540, 891, 3457, 269, 1403, 596, 1810, 1405, 1294, 835, 7404, 267, 2119, 6998, 2576, 1135, 7019, 952, 596, 666, 10210, 741, 338, 269, 18972, 1419, 4431, 9797, 547, 2186, 13668, 563, 265, 15579, 519, 3926, 5402, 267, 1818, 2386, 711, 547, 5905, 1022, 6213, 2127, 630, 3697, 13819, 264, 609, 6632, 3946, 269, 28528, 9787, 621, 676, 922, 8728, 610, 20362, 267, 4470, 593, 519, 1374, 780, 1262, 3721, 476, 273, 281, 7457, 532, 519, 5769, 12533, 763, 1985, 1900, 568, 547, 1921, 519, 3926, 547, 1945, 1572, 519, 4950, 269, 6056, 540, 621, 607, 513, 5318, 3060, 540, 15865, 11444, 3850, 3457, 547, 5968, 609, 1142, 824, 780, 265, 700, 11229, 513, 1507, 12835, 593, 519, 3926, 602, 20998, 513, 15261, 19712, 5365, 630, 1040, 24135, 610, 4945, 593, 621, 9900, 563, 265, 589, 1592, 540, 2139, 5121, 1058, 2408, 269, 8564, 835, 602, 3081, 834, 12709, 2437, 834, 14276, 31923, 2437, 610, 1776, 2012, 3177, 676, 519, 4087, 1141, 596, 5833, 519, 3926, 563, 265, 27016, 13713, 1247, 519, 3926, 13462, 547, 519, 6074, 3060, 269, 1411, 1522, 1294, 930, 18343, 14743, 610, 3356, 13063, 1107, 581, 3461, 2439, 1262, 3721, 476, 274, 281, 14956, 2287, 513, 5680, 645, 4900, 518, 12533, 3086, 267, 596, 3513, 1569, 519, 12389, 8606, 916, 3896, 1210, 513, 2027, 1982, 1572, 513, 1357, 11422, 780, 265, 2201, 1034, 3457, 267, 596, 3513, 1265, 2789, 24069, 8204, 1114, 3156, 269, 9612, 585, 835, 13042, 834, 25542, 2437, 834, 289, 4900, 518, 2437, 610, 10023, 513, 4605, 540, 513, 22315, 630, 324, 3052, 1421, 5616, 24904, 1916, 265, 7046, 519, 5697, 3498, 676, 26378, 610, 14467, 593, 621, 2899, 269, 634, 5496, 1058, 4159, 513, 6140, 8900, 2985, 609, 513, 3043, 4282, 780, 1262, 3721, 476, 275, 281, 11978, 532, 519, 19534, 17372, 12533, 1103, 713, 1900, 267, 596, 3513, 4283, 519, 2232, 540, 519, 12389, 8606, 916, 3896, 780, 265, 6733, 693, 519, 1283, 3296, 540, 519, 11422, 6885, 267, 2356, 5627, 513, 14328, 4216, 609, 513, 23684, 1025, 9722, 3330, 269, 901, 568, 519, 2232, 3046, 563, 265, 4635, 519, 13691, 7923, 547, 519, 15291, 270, 26367, 610, 519, 5691, 13691, 593, 519, 16335, 912, 453, 266, 7392, 519, 1739, 5311, 540, 3197, 7444, 543, 8308, 281, 561, 25829, 8686, 25829, 5991, 3766, 1922, 25829, 2000, 2173, 1606, 1673, 582, 27984, 8573, 3766, 454, 453, 266, 5269, 2386, 547, 1331, 519, 12297, 630, 4700, 1063, 834, 16344, 6996, 257, 543, 834, 3073, 4840, 453, 266, 4964, 519, 9373, 1883, 20465, 610, 7148, 519, 3619, 7735, 950, 8737, 17511, 692, 1262, 3721, 476, 276, 281, 19484, 519, 19534, 12533, 2791, 4312, 6707, 15600, 12389, 8606, 916, 256, 3767, 267, 2263, 519, 3135, 547, 1265, 513, 7260, 547, 4585, 780, 265, 27297, 519, 1585, 6810, 543, 6688, 10268, 593, 519, 2546, 269, 1452, 948, 10891, 1543, 585, 2653, 6602, 563, 265, 2480, 2651, 1524, 519, 2985, 1210, 707, 11263, 630, 517, 513, 5905, 31653, 3926, 264, 610, 519, 10856, 270, 10177, 1188, 25247, 630, 517, 513, 15291, 270, 26367, 1916, 265, 8437, 593, 513, 7260, 2140, 267, 16968, 267, 610, 6609, 547, 1930, 922, 6131, 2985, 780, 1262, 3721, 476, 277, 281, 19805, 2659, 28414, 12533, 15675, 513, 7260, 602, 29598, 707, 3007, 780, 265, 3367, 5618, 24096, 267, 8039, 267, 610, 16863, 547, 1205, 606, 2856, 827, 519, 4670, 781, 9135, 267, 3159, 267, 543, 2298, 563, 265, 9796, 3007, 547, 519, 3381, 6345, 1858, 267, 799, 1522, 1397, 513, 12744, 3239, 610, 911, 8814, 563, 265, 1879, 4712, 267, 4945, 519, 7591, 7735, 20465, 610, 513, 2147, 4781, 547, 1376, 18297, 519, 7260, 780, 1262, 21206, 9669, 1299, 19047, 4373, 265, 2878, 24127, 6513, 4995, 17797, 519, 3280, 1377, 1210, 16181, 593, 519, 3926, 610, 4320, 8060, 1369, 519, 11422, 23218, 8721, 6345, 563, 265, 2878, 4467, 3228, 4995, 6875, 9397, 1282, 12675, 13156, 7886, 547, 12701, 267, 1847, 1472, 267, 543, 1964, 707, 4064, 563, 265, 2878, 4910, 1051, 11524, 4995, 2142, 13533, 540, 1346, 1472, 596, 267, 2523, 952, 8384, 538, 513, 3838, 2230, 269, 2422, 30069, 610, 1832, 12531, 1970, 547, 2057, 23892, 1866, 563, 265, 2878, 23458, 18169, 4995, 2368, 7270, 2709, 5705, 527, 956, 610, 8301, 13475, 538, 1114, 4654, 269, 10812, 891, 3681, 952, 2877, 780, 23558, 267, 1007, 3659, 256, 2060, 891, 3268, 267, 596, 4312, 6707, 14478, 513, 2407, 7260, 2228, 1210, 12389, 8606, 916, 269, 17949, 3695, 811, 8874, 267, 1565, 827, 1480, 2528, 267, 543, 15268, 547, 1272, 593, 3047, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 19400, 9509, 20176, 625, 6732, 689, 2713, 16344, 916, 3820, 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, 0, 21919, 926, 543, 1323, 9820, 941, 1079, 1655, 2828, 945, 6068, 4730, 609, 741, 9162, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 1265, 856, 875, 1082, 9162, 789, 1185, 15587, 780, 298, 600, 926, 6743, 693, 1010, 18061, 540, 9162, 543, 1767, 267, 834, 296, 723, 1535, 9162, 1701, 1323, 9820, 20493, 543, 14452, 267, 834, 11039, 267, 594, 723, 1535, 1341, 476, 1789, 9162, 15323, 306, 19488, 267, 789, 7691, 789, 2877, 547, 4137, 856, 1018, 1412, 343, 262, 11542, 585, 256, 1924, 267, 789, 3323, 4946, 909, 782, 741, 9162, 269, 1358, 1336, 856, 602, 1927, 267, 789, 1185, 1535, 1341, 1535, 1341, 476, 1789, 815, 476, 8182, 9162, 780, 257, 310, 7159, 2437, 3154, 6244, 21919, 926, 267, 834, 604, 649, 9192, 938, 9162, 267, 1287, 1535, 7132, 1535, 1590, 3160, 519, 1482, 2179, 607, 938, 5916, 9162, 14263, 1250, 3659, 1323, 9820, 262, 3063, 9162, 10590, 2060, 10761, 267, 646, 4797, 267, 834, 3383, 267, 476, 273, 343, 11224, 476, 9873, 15323, 2304, 9820, 804, 11474, 1200, 3946, 1927, 269, 834, 6546, 1797, 1535, 11224, 476, 4792, 256, 1411, 723, 476, 4792, 9162, 267, 21919, 926, 10590, 1352, 608, 13094, 269, 3807, 1287, 267, 741, 4116, 15336, 936, 543, 4280, 267, 834, 1432, 616, 596, 1565, 2221, 12482, 4415, 2462, 1159, 3796, 593, 741, 8188, 267, 21919, 926, 543, 1323, 9820, 23217, 3838, 741, 6602, 269, 4256, 4116, 21330, 1237, 1324, 569, 543, 3773, 267, 834, 12441, 596, 917, 602, 2979, 666, 948, 721, 1174, 3270, 538, 2470, 1932, 286, 6145, 10203, 519, 24968, 593, 513, 8768, 610, 6801, 538, 519, 3781, 6607, 15323, 3719, 10393, 267, 513, 31830, 540, 2842, 25626, 2066, 519, 19209, 267, 22502, 782, 741, 9162, 10876, 256, 589, 14281, 1413, 3357, 936, 741, 8188, 607, 789, 588, 1563, 693, 741, 2899, 2389, 573, 344, 25985, 540, 9162, 1631, 16559, 1472, 519, 13452, 269, 4634, 1498, 789, 4362, 875, 1082, 9162, 1142, 1185, 267, 789, 4121, 1776, 1271, 3992, 910, 2141, 1832, 707, 1919, 6896, 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, 3725, 24554, 513, 2243, 267, 2626, 6292, 689, 713, 7778, 281, 2913, 781, 2161, 21919, 926, 814, 1535, 9162, 269, 1323, 9820, 814, 1535, 1341, 476, 1789, 9162, 269, 10395, 1441, 267, 1323, 9820, 543, 21919, 926, 723, 513, 2698, 540, 1535, 1341, 1535, 1341, 476, 1789, 815, 476, 8182, 9162, 269, 26157, 899, 2474, 267, 649, 1205, 476, 273, 343, 1341, 476, 1789, 815, 476, 8182, 269, 16265, 24219, 476, 1789, 689, 1312, 5011, 267, 649, 1205, 476, 273, 343, 815, 476, 9873, 269, 29435, 532, 1312, 5011, 676, 476, 273, 267, 649, 1205, 1535, 815, 476, 4792, 267, 865, 519, 2698, 1297, 540, 9162, 602, 21919, 926, 814, 568, 476, 4792, 563, 9223, 281, 1403, 21919, 926, 814, 1535, 9162, 543, 1323, 9820, 814, 1535, 1341, 476, 1789, 9162, 267, 543, 1927, 789, 723, 513, 2698, 540, 476, 8182, 9162, 267, 875, 1082, 9162, 1281, 21919, 926, 723, 2496, 12585, 281, 21919, 926, 814, 476, 4792, 9162, 14325, 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, 3848, 476, 277, 281, 8943, 12577, 1299, 25385 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4830, 543, 8200, 4632, 269, 898, 1058, 581, 1759, 593, 707, 1702, 540, 519, 1641, 543, 1022, 4540, 1382, 593, 519, 1888, 269, 1280, 1383, 267, 1759, 593, 707, 1702, 540, 2860, 543, 519, 6127, 540, 2962, 540, 519, 1007, 3075, 2473, 267, 596, 1522, 15974, 519, 1739, 8367, 281, 834, 763, 1007, 3075, 2473, 786, 3648, 2569, 519, 18735, 540, 2860, 2281, 3379, 547, 519, 1852, 1895, 4799, 2005, 568, 1271, 547, 4063, 602, 513, 8367, 568, 711, 513, 3803, 3932, 267, 855, 2864, 513, 12605, 540, 1018, 596, 2503, 547, 1265, 1759, 593, 707, 1382, 269, 898, 1058, 581, 7318, 998, 11826, 17634, 543, 2079, 540, 1239, 547, 3313, 2436, 621, 568, 6462, 610, 15653, 563, 1103, 5758, 267, 2870, 513, 8367, 585, 513, 1382, 1957, 3322, 7114, 513, 1382, 2243, 267, 10747, 707, 4632, 267, 543, 3981, 532, 513, 2078, 1063, 891, 4632, 1759, 593, 707, 1702, 540, 519, 1641, 543, 4540, 1382, 269, 589, 1134, 2275, 2761, 539, 8367, 568, 513, 2629, 5057, 540, 519, 3621, 1505, 267, 607, 621, 2488, 513, 5943, 585, 4152, 543, 2357, 4328, 519, 14496, 540, 707, 6069, 7778, 563, 1692, 547, 3503, 513, 29138, 281, 476, 276, 11822, 17778, 1299, 6201, 454, 2304, 1383, 540, 513, 1382, 2243, 1131, 581, 281, 1684, 3610, 945, 946, 12383, 543, 12222, 538, 741, 14245, 1205, 1732, 2164, 689, 741, 1053, 286, 1879, 596, 2263, 3105, 2090, 543, 6436, 267, 596, 786, 1265, 13181, 10054, 602, 786, 948, 596, 1628, 707, 8367, 3948, 269, 589, 14605, 9112, 8367, 666, 723, 513, 14042, 1198, 593, 519, 2298, 540, 606, 4603, 543, 922, 2164, 952, 621, 568, 711, 5402, 543, 24617, 18705, 269, 1306, 513, 4341, 267, 621, 25221, 519, 2078, 1063, 513, 1906, 4632, 282, 543, 596, 666, 6961, 610, 16355, 557, 621, 676, 519, 1439, 540, 707, 4255, 543, 6901, 593, 621, 269, 7316, 547, 1382, 8367, 543, 2097, 909, 609, 1007, 6898, 585, 707, 1557, 286, 1411, 786, 1205, 519, 1883, 4030, 998, 7422, 610, 6901, 269, 1215, 547, 2328, 513, 2241, 8367, 286, 1280, 1383, 281, 901, 568, 711, 1434, 4781, 269, 1411, 1590, 849, 5031, 11786, 3344, 543, 4207, 2152, 269, 2060, 519, 9868, 540, 6402, 547, 5007, 4609, 267, 930, 3140, 2959, 543, 21555, 689, 1808, 12326, 267, 782, 1543, 593, 713, 3896, 568, 10677, 539, 676, 3778, 10341, 563, 1692, 547, 3503, 513, 29138, 585, 606, 20056, 550, 3194, 7433, 454, 16605, 3950, 540, 707, 2959, 676, 8228, 610, 9494, 6054, 607, 596, 1382, 269, 2334, 568, 267, 621, 666, 581, 15653, 610, 9672, 609, 2409, 540, 3621, 1382, 269, 1284, 666, 1489, 596, 538, 713, 4305, 269, 898, 568, 2629, 950, 2357, 4328, 519, 13597, 540, 519, 8367, 7150, 269, 898, 1058, 581, 2111, 547, 581, 16355, 1597, 676, 707, 1382, 269, 9453, 513, 8810, 543, 10063, 24862, 2078, 267, 519, 1957, 20555, 883, 519, 10063, 322, 2225, 6433, 269, 4586, 1692, 547, 3503, 513, 6153, 29138, 538, 513, 3194, 7433, 454, 288, 8367, 568, 513, 1382, 2243, 602, 2829, 1018, 568, 4397, 547, 581, 519, 1267, 540, 519, 1353, 269, 589, 8367, 538, 606, 1557, 568, 513, 3948, 11744, 513, 12605, 596, 3494, 949, 4755, 1759, 593, 1382, 267, 2963, 267, 543, 17634, 269, 4635, 713, 4640, 267, 3173, 1223, 1413, 883, 513, 8367, 602, 1131, 581, 2182, 547, 1449, 538, 519, 2978, 269, 634, 3804, 540, 519, 1382, 568, 267, 4061, 267, 547, 2901, 13182, 610, 535, 1023, 1518, 519, 8367, 799, 1287, 5012, 547, 513, 1455, 5813, 827, 519, 1382, 1641, 269, 769, 930, 2189, 6381, 267, 621, 568, 5227, 547, 5077, 609, 707, 7548, 547, 1205, 519, 1153, 3898, 585, 519, 8367, 269, 901, 568, 9247, 513, 6101, 1592, 540, 2959, 267, 1142, 609, 14391, 725, 602, 17412, 543, 6218, 621, 563, 1692, 547, 3503, 513, 29138, 281, 634, 31597, 6651, 609, 6201, 454, 288, 8367, 2829, 606, 10924, 2078, 1063, 693, 2547, 1079, 4632, 543, 519, 4603, 1287, 18327, 610, 16355, 1407, 602, 2078, 609, 8579, 4644, 269, 898, 568, 513, 10169, 2143, 3948, 602, 1590, 1683, 513, 2312, 4367, 547, 513, 3621, 7634, 267, 922, 6663, 267, 543, 1761, 4539, 269, 3503, 513, 16200, 29138, 2060, 2164, 540, 16861, 7041, 543, 1382, 2055, 267, 596, 666, 1353, 2142, 607, 2312, 607, 2009, 267, 2057, 22394, 21520, 269, 3550, 602, 1100, 2339, 875, 1950, 519, 1382, 2243, 568, 267, 519, 8367, 16853, 1369, 519, 4143, 4152, 2553, 269, 15937, 4555, 5269, 2386, 707, 1382, 568, 5470, 6954, 1354, 596, 6494, 621, 547, 707, 269, 2334, 4992, 7168, 3978, 543, 513, 2370, 25254, 1932, 563, 1692, 1677, 3503, 589, 29138, 454, 27269, 1031, 543, 2404, 609, 2257, 267, 19165, 616, 10054, 610, 7058, 525, 585, 3173, 543, 5640, 547, 6961, 610, 16355, 557, 3842, 4255, 543, 6901, 269, 5901, 538, 2247, 602, 707, 8367, 1522, 1439, 909, 1373, 4636, 269, 3143, 991, 547, 5368, 1203, 519, 8868, 950, 13167, 513, 4396, 1382, 8367, 269, 634, 2856, 568, 547, 2322, 707, 8367, 547, 519, 1449, 269, 1234, 7315, 27138, 331, 6953, 26698, 538, 4095, 4750, 540, 13106, 30249, 539, 923, 269, 1717, 267, 596, 1058, 1101, 2932, 7850, 1382, 1354, 3384, 707, 8367, 269, 7490, 798, 711, 4734, 4376, 547, 4960, 676, 8806, 2348, 513, 8367, 3948, 855, 2864, 32432, 621, 909, 547, 519, 1655, 4441, 563, 1692, 547, 2328, 513, 8367, 454, 12024, 713, 281, 1403, 513, 1480, 22655, 835, 11945, 829, 1554, 267, 1287, 646, 4991, 8902, 4522, 269, 589, 8367, 2141, 23083, 513, 2078, 1063, 1896, 4632, 269, 898, 568, 849, 4749, 1031, 538, 7194, 269, 1215, 547, 3503, 606, 20056, 550, 3194, 7433, 29138, 538, 476, 274, 14168, 17778, 1411, 1590, 1101, 3442, 513, 1888, 1354, 596, 2253, 1603, 269, 4208, 1281, 621, 4755, 519, 1259, 621, 4422, 286, 2060, 4030, 689, 938, 1655, 4966, 543, 3732, 8367, 267, 596, 666, 581, 2386, 547, 581, 519, 1985, 1390, 8367, 5856, 538, 519, 2475, 563, 1692, 547, 3503, 513, 29138, 585, 513, 14068, 817, 3194, 7433, 454, 288, 12497, 5943, 949, 581, 2556, 547, 12446, 693, 519, 4632, 602, 786, 581, 2629, 538, 707, 1382, 1353, 269, 634, 8367, 596, 25666, 1058, 581, 2312, 543, 13801, 1247, 11341, 547, 707, 1382, 2243, 269, 1284, 849, 2709, 10464, 543, 3728, 8367, 1603, 948, 2228, 547, 1053, 10010, 609, 713, 1523, 269, 23883, 585, 14971, 19174, 256, 1411, 6430, 547, 13404, 593, 519, 2078, 1063, 5907, 19269, 543, 3207, 6208, 269, 589, 8367, 538, 513, 1382, 1957, 568, 513, 3948, 11744, 513, 12605, 596, 3494, 949, 4755, 1759, 593, 1382, 267, 2963, 267, 543, 17634, 563, 1692, 547, 2328, 513, 3621, 29138, 454, 288, 8579, 8367, 6811, 519, 1871, 540, 513, 2582, 2551, 8984, 610, 2078, 1063, 1896, 2551, 4162, 269, 1548, 2306, 606, 2500, 1382, 8367, 286, 7151, 281, 476, 3583, 260, 540, 1004, 945, 2661, 538, 13325, 616, 4401, 28119, 269, 1215, 547, 3503, 513, 11660, 29138, 281, 15937, 32438, 1924, 267, 952, 596, 4312, 2097, 713, 2484, 267, 596, 1058, 2907, 917, 875, 547, 875, 547, 2328, 513, 8367, 1900, 676, 1900, 269, 2334, 1259, 267, 596, 949, 3362, 1331, 873, 538, 707, 15853, 269, 898, 1131, 948, 952, 596, 2141, 1759, 707, 8367, 593, 4540, 6436, 543, 2139, 1702, 269, 26592, 3173, 4749, 2308, 713, 1505, 547, 3589, 519, 6384, 1063, 1114, 4632, 269, 2368, 31274, 602, 1152, 1079, 1713, 5686, 540, 19165, 2291, 281, 4244, 543, 14275, 282, 1866, 1289, 873, 4287, 531, 543, 1875, 1673, 27399, 19165, 267, 6606, 563, 1692, 547, 3503, 513, 3194, 29138, 454, 1103, 824, 1913, 267, 1053, 1590, 2327, 602, 741, 19165, 2270, 1344, 593, 741, 5497, 4093, 543, 2409, 269, 1403, 596, 10093, 1405, 2907, 267, 1224, 1215, 547, 7994, 513, 3194, 7433, 13445, 2334, 654, 1231, 8262, 269, 634, 8545, 3340, 930, 3063, 5578, 543, 5876, 267, 799, 666, 1152, 2097, 689, 19023, 5830, 269, 18461, 1863, 547, 2119, 938, 2228, 5098, 3948, 11718, 547, 1205, 513, 1732, 2856, 540, 1603, 2178, 5098, 6898, 585, 707, 3594, 269, 6258, 811, 827, 875, 547, 2328, 606, 23064, 15853, 676, 2542, 21302, 519, 1699, 3332, 1306, 596, 1224, 998, 519, 3332, 267, 1491, 4063, 540, 1018, 2010, 540, 6901, 543, 2090, 723, 2907, 1044, 6192, 269, 5153, 476, 273, 281, 3763, 2055, 543, 1413, 585, 4267, 10670, 6998, 2055, 827, 707, 1641, 2899, 596, 723, 513, 3376, 2856, 540, 707, 1382, 1788, 538, 1747, 269, 1280, 1383, 281, 1215, 1281, 4189, 13212, 1860, 1480, 5959, 1072, 286, 2311, 519, 1482, 942, 267, 596, 1522, 711, 723, 2808, 782, 519, 519, 4513, 538, 519, 3105, 1353, 269, 0, 291, 16400, 26213, 10789, 476, 1321, 266, 476, 275, 32504, 298, 1695, 2393, 22900, 26213, 6789, 454, 291, 16400, 26213, 10789, 476, 1321, 266, 281, 1323, 20522, 7223, 20131, 602, 13352, 538, 707, 17927, 563, 291, 16400, 26213, 10789, 476, 1321, 266, 568, 513, 1590, 3620, 1511, 1907, 585, 1053, 865, 789, 666, 7118, 1732, 9344, 543, 2744, 6015, 538, 7223, 543, 6128, 269, 898, 568, 1759, 593, 519, 8366, 10888, 3014, 22900, 26213, 10789, 476, 276, 266, 855, 6227, 811, 4359, 3584, 538, 6128, 543, 7223, 912, 265, 15474, 543, 20134, 4191, 454, 265, 18827, 540, 17773, 630, 13349, 9324, 7631, 2209, 994, 265, 14635, 540, 6145, 16301, 454, 291, 16400, 26213, 10789, 476, 1321, 266, 3947, 5716, 513, 3152, 1620, 540, 1018, 6128, 568, 782, 827, 281, 3615, 543, 519, 3347, 1063, 3615, 563, 1607, 3872, 3014, 9072, 1453, 689, 519, 6502, 540, 476, 1321, 547, 476, 1704, 855, 1453, 630, 528, 4079, 264, 540, 782, 6502, 666, 2972, 621, 269, 29892, 3085, 1406, 2154, 15569, 267, 4352, 3237, 666, 2972, 4730, 2059, 609, 741, 1453, 543, 6148, 1256, 23906, 1156, 909, 741, 1378, 2979, 1983, 563, 291, 16400, 26213, 10789, 476, 1321, 266, 12857, 782, 891, 2609, 538, 513, 22488, 543, 10477, 1158, 13267, 547, 782, 6502, 563, 763, 6345, 16137, 693, 1010, 17017, 1378, 10605, 676, 19234, 609, 3652, 602, 616, 5189, 7930, 269, 18776, 568, 11609, 609, 519, 4332, 543, 2208, 540, 513, 15743, 585, 1142, 1007, 3184, 563, 7804, 269, 18536, 4728, 531, 267, 1912, 6185, 269, 538, 5042, 2257, 267, 543, 14639, 5174, 2194, 626, 324, 13535, 2106, 327, 267, 513, 1164, 1153, 4116, 267, 2813, 22900, 26213, 10789, 476, 1321, 266, 607, 606, 16022, 267, 954, 894, 543, 3608, 1259, 547, 1451, 7223, 563, 291, 16400, 26213, 10789, 476, 1321, 266, 568, 1759, 593, 513, 3209, 24099, 1505, 2919, 538, 16157, 602, 6212, 593, 6602, 543, 17634, 269, 24812, 4309, 8216, 5955, 799, 15320, 689, 519, 2757, 4928, 4259, 1141, 1053, 666, 7227, 4374, 585, 5955, 269, 22900, 26213, 10789, 476, 1321, 266, 5932, 606, 1604, 585, 3214, 1141, 789, 666, 1451, 267, 2972, 543, 5660, 2979, 563, 5978, 3105, 3872, 3014, 267, 22900, 26213, 10789, 476, 276, 266, 814, 4607, 1082, 21441, 1519, 519, 7108, 29274, 540, 519, 476, 1001, 273, 5395, 1190, 7591, 13815, 630, 24433, 1070, 519, 7454, 5395, 1190, 3014, 693, 31167, 321, 7776, 21485, 338, 8342, 543, 5395, 1190, 10794, 16635, 543, 519, 7454, 5395, 1190, 10794, 693, 519, 476, 1001, 274, 4139, 16353, 717, 5446, 22952, 269, 898, 568, 849, 5227, 676, 5871, 23281, 9012, 1141, 621, 4465, 519, 6258, 10396, 8366, 563, 265, 476, 736, 11636, 11271, 630, 1015, 1565, 267, 476, 1015, 2866, 994, 265, 476, 3374, 278, 13410, 454, 265, 9978, 15821, 3652, 609, 799, 519, 1126, 666, 4603, 454, 265, 589, 1445, 593, 8766, 6044, 7512, 5876, 543, 17634, 689, 519, 6345, 454, 265, 13038, 12632, 585, 2653, 3356, 1852, 454, 265, 667, 539, 5344, 12449, 543, 2575, 585, 1142, 3184, 454, 265, 13038, 6462, 4654, 630, 12626, 267, 21473, 9809, 9820, 267, 562, 832, 330, 267, 521, 26223, 6390, 267, 546, 13089, 267, 1965, 11985, 10722, 565, 267, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 267, 621, 6501, 334, 267, 2823, 30253, 17845, 338, 267, 1546, 28852, 267, 476, 31589, 4736, 4736, 24012, 13953, 267, 22614, 362, 478, 12916, 497, 18809, 24757, 267, 22614, 373, 479, 421, 360, 498, 18809, 24757, 267, 647, 23449, 267, 715, 25005, 4133, 1862, 994, 1607, 5305, 10607, 519, 2489, 6617, 540, 519, 3014, 267, 538, 1880, 593, 25515, 476, 1724, 267, 8591, 1489, 585, 530, 1938, 10547, 3457, 543, 711, 3481, 11436, 267, 11151, 3755, 689, 14874, 782, 26968, 985, 267, 31758, 2152, 609, 930, 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 ]
[ 538, 519, 1353, 5396, 568, 519, 1297, 540, 2665, 610, 4093, 602, 2049, 936, 942, 269, 634, 681, 305, 568, 3274, 519, 1981, 540, 2068, 630, 528, 824, 6364, 264, 1851, 519, 6534, 610, 5701, 5396, 5258, 676, 519, 1981, 538, 519, 5805, 12723, 5396, 269, 1306, 2907, 5941, 267, 2013, 20820, 2090, 798, 711, 2268, 1981, 2047, 855, 3079, 1867, 606, 12918, 5223, 630, 3036, 1070, 799, 568, 3622, 2808, 513, 11315, 7447, 540, 681, 305, 563, 11328, 13133, 725, 540, 681, 305, 543, 10758, 616, 2147, 269, 1306, 519, 5223, 4485, 476, 272, 269, 271, 267, 972, 568, 2370, 547, 1100, 7681, 269, 1280, 1312, 681, 20745, 543, 10758, 338, 267, 519, 2417, 2476, 519, 1871, 568, 689, 476, 272, 269, 271, 267, 519, 6793, 519, 2078, 1063, 519, 4598, 543, 519, 6364, 269, 18880, 1447, 982, 476, 272, 269, 271, 2099, 513, 2942, 7681, 267, 610, 513, 8519, 1981, 540, 606, 4598, 13050, 2492, 2078, 269, 18880, 3152, 982, 476, 272, 269, 271, 2099, 513, 2318, 7681, 267, 610, 513, 3152, 1981, 540, 606, 4598, 13050, 2492, 2078, 269, 589, 2178, 2318, 681, 305, 949, 581, 3152, 982, 476, 273, 269, 271, 543, 513, 2178, 2942, 681, 305, 949, 581, 1447, 982, 476, 271, 269, 276, 269, 1284, 6033, 12205, 666, 1419, 581, 6045, 676, 1476, 15929, 4632, 269, 1717, 267, 25981, 22602, 267, 14126, 2550, 267, 610, 2283, 1049, 2065, 2923, 1419, 936, 5793, 13133, 4617, 12205, 269, 2290, 1590, 849, 3314, 602, 606, 10758, 610, 681, 305, 568, 1759, 593, 2164, 540, 513, 1808, 1353, 1895, 543, 949, 711, 2099, 519, 2489, 2551, 269, 901, 2009, 3017, 568, 6956, 607, 513, 10386, 5470, 267, 610, 519, 2009, 3017, 538, 7194, 540, 513, 1353, 3379, 609, 519, 4890, 7164, 7194, 1369, 513, 2551, 269, 1306, 513, 1267, 267, 22602, 786, 946, 513, 6015, 8884, 630, 5746, 264, 547, 2769, 519, 8856, 540, 513, 1448, 7447, 269, 12824, 798, 711, 7048, 9003, 593, 519, 2757, 623, 1871, 547, 3313, 2436, 513, 1353, 779, 4681, 616, 1813, 547, 513, 4960, 12136, 267, 2523, 950, 7234, 12753, 543, 4220, 1547, 30151, 11996, 2099, 609, 1164, 5506, 630, 4817, 8472, 519, 2418, 1369, 799, 519, 4890, 2551, 1448, 7447, 1131, 2887, 269, 589, 7522, 16275, 6920, 2178, 8856, 543, 568, 4443, 547, 3035, 609, 3677, 2090, 610, 2090, 609, 1360, 2370, 13065, 269, 589, 2647, 16275, 6920, 4057, 8856, 543, 949, 581, 11347, 540, 606, 24598, 10062, 1353, 610, 9645, 13065, 1851, 2164, 269, 898, 1590, 581, 7074, 602, 595, 3674, 798, 711, 2232, 10462, 538, 519, 2164, 3361, 676, 1476, 15929, 2188, 610, 4057, 1353, 2298, 269, 5015, 267, 513, 2647, 16275, 568, 711, 17046, 6169, 540, 513, 3668, 540, 7681, 1063, 519, 4598, 543, 519, 6364, 269, 16275, 568, 3274, 513, 2268, 540, 8856, 269, 4634, 606, 791, 13440, 1047, 1448, 7447, 3788, 519, 1655, 7778, 540, 519, 2078, 2394, 513, 3677, 610, 1732, 1353, 568, 5340, 269, 595, 3674, 616, 1034, 1419, 3113, 1227, 6719, 607, 513, 2786, 1899, 1472, 513, 1448, 7447, 547, 1397, 519, 8700, 540, 741, 2039, 269, 1717, 267, 513, 811, 4977, 14839, 540, 519, 1523, 568, 513, 11350, 11057, 7455, 10704, 1472, 519, 1448, 7447, 1871, 269, 8431, 269, 476, 276, 269, 273, 9727, 1806, 540, 1448, 9193, 543, 741, 9757, 6015, 11996, 269, 0, 12179, 3289, 25233, 1353, 540, 7297, 515, 1091, 3340, 10641, 6248, 2079, 269, 901, 2079, 568, 513, 3532, 1907, 538, 24659, 2359, 630, 289, 529, 13195, 1696, 620, 1421, 476, 1960, 280, 267, 962, 553, 2381, 1696, 620, 1421, 476, 1001, 274, 1040, 8693, 1689, 13745, 609, 2244, 14025, 2242, 12651, 1646, 2152, 267, 1519, 519, 8244, 540, 1216, 2200, 585, 1004, 781, 2115, 269, 674, 3166, 609, 891, 2479, 2987, 920, 2084, 2115, 540, 519, 2551, 267, 2244, 1646, 3587, 513, 10421, 269, 4935, 267, 519, 6662, 568, 547, 5659, 519, 10641, 6248, 4162, 540, 519, 590, 1678, 541, 8643, 16935, 538, 1931, 547, 4225, 922, 1016, 1532, 553, 1231, 269, 1677, 713, 1439, 267, 519, 9682, 2592, 540, 519, 3059, 14099, 2203, 630, 291, 26774, 264, 540, 519, 590, 20670, 300, 630, 1789, 332, 343, 1789, 332, 264, 1826, 540, 476, 1001, 273, 941, 1031, 269, 7201, 519, 23420, 22944, 1930, 2707, 1982, 267, 2947, 1016, 1532, 553, 1231, 630, 29669, 272, 16927, 267, 645, 309, 273, 5336, 267, 645, 309, 274, 25286, 267, 645, 309, 275, 8566, 543, 645, 309, 276, 4149, 264, 723, 1044, 1642, 574, 1243, 269, 634, 6027, 6724, 616, 519, 1297, 540, 8933, 543, 741, 28944, 267, 547, 5581, 519, 9511, 540, 519, 16935, 630, 19327, 267, 15943, 267, 3259, 1070, 519, 1585, 17523, 630, 323, 1778, 720, 5860, 267, 9386, 5223, 267, 9403, 5223, 267, 20436, 566, 5223, 543, 5223, 540, 1106, 3815, 264, 543, 547, 3313, 1728, 1186, 6248, 14258, 269, 634, 15796, 729, 5340, 676, 26471, 16034, 547, 519, 1367, 10832, 543, 513, 7623, 9936, 630, 290, 335, 264, 1871, 729, 7229, 269, 634, 1505, 3964, 602, 645, 309, 273, 5336, 630, 1575, 6894, 264, 814, 519, 5207, 10862, 540, 519, 824, 1016, 1532, 553, 1231, 540, 590, 1678, 541, 8643, 585, 2244, 5726, 3527, 543, 519, 4264, 2359, 540, 1216, 2200, 563, 31871, 540, 3817, 1475, 279, 2008, 347, 22711, 1475, 17220, 4750, 540, 1604, 267, 6683, 543, 24684, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 272, 3967, 476, 1708, 273, 347, 0, 3963, 3013, 779, 13074, 2112, 814, 16768, 865, 1279, 454, 2005, 5526, 602, 519, 772, 2529, 269, 4108, 16939, 538, 15787, 267, 13175, 538, 519, 15489, 540, 476, 1220, 272, 267, 949, 6368, 581, 4947, 547, 606, 1439, 269, 31056, 23665, 1869, 723, 547, 581, 7753, 267, 5473, 1851, 824, 1919, 519, 13669, 28063, 2348, 547, 2743, 513, 22394, 3044, 540, 4227, 267, 1498, 711, 2781, 2084, 267, 741, 4108, 4238, 269, 1809, 513, 3932, 547, 1463, 1977, 9525, 538, 519, 13529, 2112, 1281, 3100, 6251, 982, 693, 1022, 3105, 942, 538, 519, 2063, 476, 1240, 1296, 563, 2750, 1051, 1082, 6085, 2456, 538, 519, 4374, 6619, 827, 1018, 4682, 1134, 543, 1018, 4682, 14605, 2443, 2523, 14605, 2443, 538, 519, 15787, 2112, 269, 1703, 786, 581, 12042, 338, 697, 2000, 23565, 813, 20333, 1023, 540, 12485, 543, 4640, 543, 540, 971, 1919, 607, 7708, 641, 1147, 2471, 1767, 547, 723, 3323, 1932, 3735, 610, 8694, 1932, 4166, 269, 4107, 540, 519, 16555, 4440, 786, 4413, 519, 1034, 4909, 3344, 540, 3013, 779, 1995, 538, 15787, 2443, 1018, 1034, 19262, 547, 979, 883, 519, 1686, 2835, 543, 1018, 568, 1034, 4143, 547, 9319, 811, 16600, 17489, 10617, 538, 519, 2104, 269, 8409, 17950, 723, 1447, 547, 798, 609, 12485, 543, 4640, 543, 811, 547, 798, 609, 6626, 829, 24632, 543, 2797, 3270, 538, 519, 2136, 2276, 267, 1519, 519, 1739, 912, 21093, 853, 3089, 538, 28015, 626, 3778, 454, 308, 2529, 269, 4229, 941, 2366, 547, 15787, 538, 476, 1220, 272, 538, 1463, 3210, 547, 519, 476, 280, 270, 1556, 22681, 4323, 267, 10419, 3603, 676, 14642, 4821, 10822, 700, 23565, 779, 620, 29841, 4660, 320, 693, 513, 942, 602, 713, 1895, 729, 513, 16823, 538, 519, 13669, 28063, 22306, 6712, 540, 15787, 269, 5181, 476, 1556, 628, 729, 971, 513, 4049, 3084, 8194, 602, 621, 814, 8032, 4892, 685, 3206, 827, 18483, 543, 4831, 614, 2928, 1143, 2479, 2094, 269, 898, 2968, 513, 10959, 538, 799, 11994, 827, 18483, 543, 28530, 18483, 941, 4646, 267, 1256, 1498, 519, 10959, 1281, 711, 2141, 14883, 547, 513, 9962, 4641, 563, 288, 2101, 2460, 540, 602, 8226, 729, 602, 519, 4339, 1996, 18483, 3357, 547, 581, 2938, 607, 5097, 513, 4108, 4339, 267, 609, 15787, 1373, 519, 3355, 6370, 4395, 538, 519, 865, 10777, 968, 8705, 593, 9810, 1848, 7102, 25380, 2476, 689, 602, 4108, 4339, 3976, 729, 2938, 267, 4636, 569, 267, 607, 513, 25380, 2476, 689, 4831, 614, 2928, 1143, 3294, 563, 763, 10959, 849, 15469, 513, 5821, 547, 1174, 519, 2027, 6381, 267, 1519, 519, 1686, 540, 519, 4505, 18665, 10937, 1117, 514, 4339, 1996, 519, 7737, 328, 1115, 267, 602, 3366, 15787, 547, 581, 2404, 609, 10822, 700, 23565, 267, 620, 29841, 4660, 320, 267, 543, 513, 22681, 3463, 547, 519, 772, 2529, 269, 22657, 538, 476, 1220, 272, 2443, 6381, 12691, 547, 581, 556, 6088, 676, 2104, 22681, 6937, 547, 519, 2136, 2276, 563, 17682, 12174, 6017, 3357, 547, 581, 2938, 607, 519, 22681, 10093, 1612, 17284, 267, 1256, 1498, 267, 547, 8726, 6708, 971, 688, 26223, 949, 581, 1713, 267, 1082, 824, 4025, 1223, 4196, 602, 1909, 269, 15787, 729, 2938, 4730, 602, 1909, 1256, 1498, 1082, 540, 519, 2565, 21339, 585, 519, 476, 280, 270, 1556, 5106, 3294, 3576, 1747, 538, 2342, 267, 519, 2136, 2276, 267, 543, 2166, 1499, 10628, 563, 303, 11823, 21824, 540, 14087, 2739, 11778, 454, 5194, 1977, 9371, 540, 519, 8194, 540, 476, 280, 270, 1556, 729, 513, 4642, 2389, 16260, 10182, 4724, 18483, 269, 4634, 513, 2582, 1977, 2669, 689, 513, 2582, 22681, 4323, 729, 9833, 607, 1945, 602, 1223, 543, 1058, 581, 14284, 267, 7488, 540, 519, 3790, 540, 3843, 547, 798, 865, 269, 901, 814, 711, 2141, 1044, 519, 2013, 269, 634, 476, 3192, 271, 338, 267, 585, 1383, 267, 4718, 1082, 22681, 6285, 1369, 519, 2136, 2276, 267, 10419, 3603, 676, 513, 3099, 540, 4914, 543, 6469, 11051, 267, 1510, 4831, 614, 2928, 1143, 18186, 4040, 547, 519, 1283, 540, 3084, 14422, 543, 1510, 1022, 5433, 991, 547, 10131, 513, 968, 8705, 593, 9810, 1848, 1306, 513, 1267, 540, 519, 1007, 4642, 2389, 16260, 3044, 267, 772, 2529, 269, 2797, 3401, 723, 1185, 547, 2661, 609, 519, 4250, 602, 952, 789, 15504, 10136, 856, 540, 15787, 543, 519, 2136, 2276, 2663, 4810, 1022, 1826, 540, 22681, 4323, 609, 1022, 4276, 693, 782, 547, 15787, 267, 741, 2797, 17837, 1131, 10788, 800, 873, 563, 289, 5362, 19331, 731, 17030, 11511, 788, 454, 763, 32618, 2165, 968, 3939, 28869, 892, 1449, 5809, 547, 519, 9860, 540, 1018, 602, 2165, 6257, 269, 634, 6384, 540, 875, 5692, 28869, 5249, 538, 519, 15787, 2112, 267, 2147, 547, 875, 621, 814, 818, 17470, 609, 824, 2152, 267, 616, 1079, 19507, 269, 3689, 267, 3401, 1590, 1359, 1857, 1489, 585, 14427, 3646, 971, 607, 513, 2112, 538, 513, 2484, 11325, 267, 3368, 16519, 326, 13516, 2244, 4043, 547, 7485, 856, 782, 519, 17720, 13515, 547, 798, 865, 269, 4935, 519, 3790, 543, 25096, 30309, 538, 3843, 547, 14710, 519, 13669, 28063, 941, 1767, 547, 581, 2556, 711, 1152, 547, 10726, 18483, 855, 849, 547, 1628, 513, 7123, 9111, 538, 15787, 563, 13553, 267, 2899, 519, 6304, 3576, 1747, 267, 513, 2631, 540, 772, 2529, 269, 9562, 540, 519, 1966, 4553, 543, 609, 621, 267, 4957, 4441, 585, 14045, 2436, 547, 979, 610, 547, 3251, 269, 12983, 602, 2760, 1131, 723, 1044, 513, 2601, 585, 2469, 547, 2112, 538, 15787, 538, 519, 1101, 1747, 2663, 2968, 4128, 711, 547, 4734, 621, 269, 19634, 333, 827, 519, 1065, 5962, 1533, 540, 2021, 896, 17468, 13669, 28063, 4341, 267, 585, 1383, 267, 2968, 835, 540, 1346, 2152, 1256, 1498, 621, 1131, 711, 723, 1044, 513, 8732, 639, 11350, 328, 585, 27510, 519, 6304, 563, 22546, 338, 540, 519, 12925, 2782, 454, 763, 6264, 683, 665, 976, 969, 894, 4603, 538, 3843, 547, 1121, 820, 519, 6214, 543, 9297, 540, 519, 5664, 5101, 998, 12512, 1689, 538, 12925, 1185, 18111, 614, 1190, 2360, 593, 772, 2529, 269, 3609, 4724, 15787, 267, 538, 1079, 1114, 2081, 896, 1079, 1114, 4218, 5928, 563, 2690, 519, 6723, 654, 269, 17312, 7245, 2443, 799, 3459, 519, 15292, 4724, 2112, 538, 12925, 16172, 1310, 476, 280, 270, 1556, 543, 267, 1310, 513, 5458, 30572, 5859, 547, 6133, 519, 2112, 267, 9250, 621, 538, 4728, 476, 1220, 274, 2443, 12925, 729, 606, 11999, 30411, 689, 15787, 269, 634, 7887, 1942, 538, 713, 2543, 729, 6027, 538, 2474, 711, 540, 10136, 543, 13688, 855, 2864, 540, 519, 1445, 543, 3007, 540, 14519, 269, 634, 4611, 2530, 540, 1445, 593, 15787, 729, 513, 2101, 3815, 538, 7508, 1018, 1131, 723, 1044, 606, 3617, 14827, 1448, 267, 1175, 1896, 4374, 883, 519, 772, 2529, 269, 6304, 267, 1310, 620, 29841, 4660, 320, 1185, 1044, 13193, 23264, 689, 922, 3490, 543, 519, 13669, 28063, 1185, 1044, 522, 755, 539, 689, 1379, 538, 918, 5429, 563, 2690 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1482, 3364, 267, 568, 28725, 543, 561, 823, 519, 1482, 3364, 267, 616, 1435, 545, 561, 823, 543, 28725, 519, 1482, 3364, 267, 616, 9044, 543, 7646, 1168, 519, 1482, 3364, 267, 616, 28725, 543, 2212, 561, 823, 519, 1482, 267, 28725, 543, 561, 823, 519, 1482, 3364, 267, 616, 4160, 543, 4965, 519, 1482, 3364, 267, 616, 1443, 559, 543, 16481, 1575, 19745, 523, 519, 1482, 3364, 267, 561, 823, 543, 28725, 519, 1482, 267, 616, 7904, 553, 543, 561, 823, 519, 1482, 3364, 0, 300, 2814, 1948, 272, 281, 8330, 8676, 568, 1175, 513, 5634, 2783, 602, 666, 581, 3362, 6417, 563, 15542, 281, 8330, 8676, 568, 513, 3978, 543, 5312, 2783, 602, 666, 581, 1272, 18446, 952, 2451, 15860, 610, 14605, 7307, 269, 898, 666, 2014, 4049, 7244, 7965, 267, 9221, 9395, 1145, 267, 765, 22689, 267, 543, 23472, 267, 799, 666, 3648, 1764, 513, 1268, 781, 2298, 540, 1272, 563, 300, 2814, 1948, 273, 281, 8330, 8676, 568, 3361, 676, 454, 3674, 4057, 9882, 519, 1292, 2014, 540, 10447, 888, 15542, 281, 8330, 8676, 568, 513, 1950, 2068, 602, 568, 3361, 676, 513, 4999, 540, 4719, 543, 2825, 2188, 269, 2755, 4057, 9882, 543, 4617, 4761, 1062, 666, 2333, 519, 1981, 540, 3384, 7929, 5563, 267, 789, 616, 711, 519, 6852, 3123, 540, 10447, 563, 300, 2814, 1948, 274, 281, 8307, 1453, 666, 1020, 10447, 563, 2005, 568, 5156, 602, 1152, 513, 1126, 666, 1020, 10447, 454, 15542, 281, 2755, 10447, 568, 811, 1455, 538, 1453, 267, 621, 666, 1020, 693, 1022, 2085, 269, 769, 1249, 267, 1082, 1004, 616, 8995, 609, 10447, 585, 519, 1101, 942, 538, 15296, 563, 300, 2814, 1948, 275, 281, 8330, 8676, 6527, 616, 22925, 543, 666, 2014, 811, 2800, 982, 1434, 563, 15542, 281, 8330, 8676, 6527, 616, 711, 22925, 267, 543, 789, 616, 1898, 585, 5883, 10447, 2589, 543, 7303, 10447, 6285, 269, 1703, 616, 1079, 2010, 540, 10447, 6527, 281, 2656, 3146, 331, 3971, 6527, 267, 799, 616, 1031, 547, 1683, 7525, 8323, 1282, 606, 10447, 4323, 267, 543, 1279, 3856, 1852, 6527, 267, 799, 616, 1031, 547, 2061, 10447, 6285, 689, 9648, 563, 300, 2814, 1948, 276, 281, 4658, 609, 10447, 1058, 2057, 454, 12663, 9319, 2168, 2534, 948, 596, 1852, 707, 10447, 888, 15542, 281, 8447, 2534, 568, 1898, 585, 4509, 1434, 1072, 267, 1519, 585, 1004, 609, 10447, 269, 8617, 3635, 666, 2087, 5761, 1599, 543, 2569, 519, 1981, 540, 10447, 6285, 269, 1717, 267, 1004, 609, 10447, 1058, 2911, 547, 741, 3782, 8502, 827, 3384, 606, 3635, 1544, 602, 568, 2922, 543, 3617, 585, 873, 563, 300, 2814, 1948, 277, 281, 8330, 8676, 568, 454, 15542, 281, 8330, 8676, 568, 711, 21380, 543, 3112, 581, 10299, 689, 835, 1268, 547, 1776, 563, 300, 2814, 1948, 278, 281, 8330, 8676, 666, 581, 23174, 563, 15542, 281, 1703, 568, 4867, 1100, 10826, 585, 10447, 267, 855, 621, 666, 581, 3927, 7307, 609, 1697, 2126, 543, 1582, 13282, 269, 901, 2882, 2921, 6527, 607, 11311, 267, 9319, 12153, 602, 666, 2014, 10447, 6285, 267, 543, 5464, 2589, 5781, 563, 29670, 609, 10447, 666, 581, 4101, 267, 855, 972, 616, 1082, 2200, 2139, 547, 948, 1004, 4383, 741, 2589, 543, 2661, 513, 2635, 543, 3742, 1272, 269, 3371, 616, 930, 4388, 543, 2200, 585, 1004, 609, 10447, 912, 19522, 547, 948, 13951, 952, 7092, 689, 10447, 454, 268, 4518, 609, 513, 3782, 8502, 547, 1020, 606, 10447, 2962, 1544, 602, 2882, 5528, 593, 875, 547, 4383, 10447, 2589, 543, 1018, 547, 798, 538, 2013, 540, 606, 10447, 4323, 563, 268, 6875, 6527, 607, 11311, 543, 1246, 519, 2126, 1544, 5227, 676, 519, 3782, 8502, 563, 268, 10576, 543, 2057, 12153, 602, 666, 2014, 10447, 6285, 267, 971, 607, 23480, 267, 2011, 5533, 267, 8673, 267, 543, 7929, 5563, 563, 268, 2422, 8445, 2095, 7397, 547, 6895, 5761, 1599, 5781, 543, 3713, 2038, 4191, 540, 606, 10447, 4323, 563, 268, 5192, 18764, 1996, 519, 2770, 543, 16415, 547, 2569, 519, 1981, 540, 7929, 5563, 563, 268, 15012, 513, 1489, 1895, 585, 1004, 609, 10447, 547, 1921, 609, 1866, 945, 723, 2147, 2833, 543, 1451, 12003, 2994, 563, 1103, 3932, 267, 10447, 568, 513, 5312, 7929, 2783, 602, 5540, 6634, 540, 1004, 5001, 269, 1635, 3181, 6064, 532, 14868, 543, 9306, 519, 5767, 5013, 827, 10447, 267, 649, 666, 6318, 4656, 827, 713, 2783, 543, 519, 2591, 602, 1004, 609, 10447, 3068, 269, 2060, 1697, 2126, 543, 1582, 13282, 267, 1004, 609, 10447, 666, 4383, 741, 2589, 543, 2661, 513, 2635, 543, 3742, 1272, 563, 263, 2690, 811, 28910, 1644, 575, 1601, 760, 267, 7260, 8039, 267, 9913, 608, 1816, 1161, 543, 31851, 267, 4647, 519, 19257, 14024, 9578, 813, 4700, 0, 2304, 20942, 9471, 568, 606, 16613, 267, 1272, 18446, 2783, 602, 5540, 5176, 519, 2898, 1560, 269, 898, 568, 15427, 676, 1808, 23480, 267, 971, 607, 3536, 267, 5521, 588, 902, 267, 6527, 267, 610, 3735, 343, 269, 1323, 20942, 9471, 666, 1860, 519, 2960, 267, 29935, 17011, 630, 1231, 728, 519, 5023, 1070, 9641, 267, 16063, 8778, 267, 543, 2295, 563, 4407, 1447, 4049, 13027, 6547, 666, 1860, 519, 2960, 267, 3056, 547, 21422, 543, 513, 16420, 267, 606, 20942, 9471, 949, 849, 4125, 11469, 267, 9067, 267, 543, 21572, 11926, 610, 513, 4049, 6749, 538, 1973, 2604, 269, 898, 3335, 10525, 2589, 538, 1079, 610, 811, 1418, 1949, 563, 2252, 596, 616, 2348, 606, 13027, 5114, 543, 723, 8373, 7244, 610, 11926, 1472, 543, 3330, 707, 5023, 543, 11563, 267, 1289, 476, 26605, 5612, 563, 1607, 2376, 786, 4766, 519, 4191, 543, 2589, 540, 606, 20942, 9471, 543, 786, 948, 596, 10646, 513, 4049, 13027, 5114, 689, 606, 20942, 9471, 269, 898, 786, 849, 979, 883, 5574, 543, 6604, 563, 8368, 540, 12937, 454, 17843, 11868, 513, 4049, 13027, 5114, 689, 606, 20942, 9471, 568, 4101, 267, 543, 519, 2068, 3157, 616, 593, 513, 27795, 269, 2353, 21544, 6547, 949, 4125, 1152, 835, 1418, 1062, 267, 971, 607, 519, 2960, 8840, 856, 538, 32105, 267, 855, 4049, 6547, 666, 4125, 2789, 1418, 1949, 563, 10890, 3249, 7426, 786, 13209, 606, 20942, 9471, 950, 596, 1020, 2589, 538, 2789, 8219, 630, 338, 7219, 7132, 29935, 17011, 267, 9641, 267, 2295, 267, 610, 519, 16063, 8778, 1916, 21618, 540, 606, 20942, 9471, 1331, 912, 268, 774, 9130, 32688, 610, 9395, 1145, 454, 268, 700, 2354, 11926, 454, 268, 26280, 826, 543, 11563, 11926, 454, 268, 715, 13835, 543, 13481, 454, 268, 2806, 12645, 16081, 4771, 454, 268, 10374, 1145, 540, 7362, 454, 268, 24410, 1076, 7244, 454, 268, 8899, 1973, 2604, 454, 268, 9315, 13519, 10654, 454, 5278, 4658, 5213, 1406, 3763, 670, 1161, 454, 4407, 32105, 543, 21422, 616, 1362, 1227, 2404, 609, 13027, 6547, 543, 606, 20942, 9471, 543, 4122, 2049, 538, 891, 2665, 267, 5111, 476, 1015, 260, 547, 476, 736, 260, 540, 1004, 609, 606, 20942, 9471, 786, 711, 723, 513, 2960, 5114, 25656, 563, 2304, 20942, 9471, 666, 2901, 2049, 782, 693, 2899, 630, 2041, 796, 13023, 553, 545, 264, 610, 513, 1906, 3108, 2663, 267, 1310, 2589, 7620, 2087, 630, 2041, 536, 13023, 553, 545, 1070, 799, 568, 811, 1455, 538, 1453, 982, 4079, 269, 15020, 10355, 267, 606, 20942, 9471, 666, 2063, 585, 2395, 547, 4374, 563, 763, 1034, 1455, 1826, 540, 606, 20942, 9471, 568, 796, 13023, 553, 545, 267, 543, 2589, 1020, 936, 5111, 476, 1789, 547, 476, 2568, 3764, 262, 942, 269, 1717, 267, 14603, 2665, 666, 2049, 1369, 3764, 540, 10835, 12614, 267, 2523, 689, 5521, 29086, 543, 6646, 12153, 563, 5629, 2126, 568, 15748, 267, 519, 2589, 8207, 1369, 3764, 547, 3108, 267, 543, 1034, 540, 519, 942, 267, 789, 798, 711, 9888, 630, 3583, 260, 547, 476, 3445, 260, 540, 519, 942, 1916, 23777, 1227, 267, 3782, 4648, 946, 519, 2165, 834, 3333, 1442, 257, 547, 5815, 602, 513, 1268, 779, 1973, 2604, 568, 1932, 1970, 269, 8899, 1973, 2604, 949, 581, 2938, 538, 4049, 606, 20942, 9471, 269, 1809, 519, 4527, 540, 1970, 1973, 2604, 568, 711, 2838, 585, 606, 20942, 9471, 547, 2049, 269, 1306, 1134, 267, 3339, 1973, 2604, 7403, 798, 711, 8209, 1611, 602, 606, 20942, 9471, 568, 711, 4049, 563, 2304, 20942, 9471, 543, 606, 20942, 12519, 8710, 616, 1312, 4049, 10108, 267, 789, 666, 581, 14603, 267, 543, 789, 2154, 3134, 710, 31058, 585, 2126, 563, 1432, 15486, 543, 17832, 7970, 1323, 20942, 9471, 888, 12179, 821, 666, 1020, 606, 20942, 9471, 267, 543, 519, 9594, 3085, 1406, 723, 547, 581, 1945, 6654, 610, 1945, 513, 1268, 729, 5063, 6534, 547, 269, 3509, 12153, 2291, 267, 855, 519, 1034, 1455, 12153, 1331, 912, 268, 16639, 630, 324, 3052, 1421, 5144, 267, 5798, 267, 10568, 267, 13386, 267, 3529, 10808, 267, 30637, 267, 32729, 267, 1710, 3165, 994, 268, 10469, 558, 630, 324, 3052, 1421, 10987, 267, 3595, 17605, 994, 268, 5709, 725, 630, 324, 3052, 1421, 4050, 27957, 267, 524, 31525, 30950, 1231, 267, 9829, 517, 600, 1938, 267, 29469, 267, 1875, 3122, 18042, 4550, 13611, 5061, 267, 610, 715, 6347, 31312, 994, 268, 32148, 12153, 454, 2304, 20942, 9471, 693, 5851, 5288, 269, 538, 519, 11233, 454, 7197, 14603, 2665, 540, 6646, 14001, 606, 20942, 9471, 4755, 538, 513, 6413, 4259, 269, 4107, 14603, 2665, 540, 606, 20942, 9471, 538, 519, 30229, 4259, 616, 1813, 547, 1426, 563, 32391, 2188, 585, 4049, 606, 20942, 9471, 1331, 519, 1739, 912, 268, 9861, 4587, 982, 476, 4792, 454, 268, 11109, 513, 1686, 540, 15958, 26014, 2670, 630, 320, 4686, 2783, 538, 799, 4761, 2281, 1572, 15958, 2281, 1628, 909, 538, 519, 1560, 994, 268, 14171, 1978, 6527, 454, 268, 5438, 1329, 1424, 824, 1072, 2042, 267, 971, 607, 2295, 2068, 543, 5761, 2068, 454, 268, 11109, 513, 1426, 14711, 454, 2467, 568, 513, 2362, 11841, 540, 606, 20942, 9471, 538, 7187, 982, 7013, 4234, 6421, 563, 1692, 1684, 1411, 6164, 1323, 20942, 9471, 888, 5629, 513, 1268, 814, 2919, 606, 20942, 9471, 267, 2126, 609, 3134, 710, 31058, 568, 2556, 269, 1403, 606, 3134, 710, 31058, 10081, 2987, 915, 528, 630, 292, 7032, 303, 523, 264, 568, 2139, 267, 621, 1058, 581, 1031, 269, 1411, 1590, 1287, 1205, 547, 606, 6595, 4055, 585, 2417, 1416, 543, 5464, 269, 1403, 1100, 661, 7032, 303, 523, 568, 2139, 267, 1289, 476, 26605, 610, 1205, 7525, 3560, 547, 606, 6595, 4055, 563, 10890, 3249, 7426, 666, 2285, 824, 6527, 693, 519, 1482, 942, 607, 3134, 710, 31058, 267, 855, 3478, 3134, 710, 31058, 568, 14063, 269, 8409, 945, 723, 2919, 765, 22689, 616, 849, 5701, 609, 19357, 617, 559, 2209, 899, 620, 8117, 518, 565, 563, 8196, 540, 606, 661, 7032, 303, 523, 454, 2304, 661, 7032, 303, 523, 10081, 2987, 915, 528, 1281, 1034, 540, 519, 960, 585, 596, 269, 1677, 946, 606, 661, 7032, 303, 523, 267, 1246, 891, 3268, 912, 268, 17179, 519, 4050, 689, 519, 15298, 2013, 563, 268, 9255, 519, 10538, 851, 1996, 707, 5580, 9018, 25427, 563, 268, 17179, 519, 4544, 3106, 5305, 563, 268, 4964, 519, 7630, 528, 7735, 563, 5475, 1210, 606, 661, 7032, 303, 523, 267, 2141, 1289, 476, 26605, 543, 1205, 6595, 2564, 948, 269, 1411, 991, 5464, 543, 4879, 585, 2417, 2126, 563, 2304, 20942, 9471, 17073, 9615, 454, 763, 6595, 8257, 2126, 540, 606, 20942, 9471, 568, 606, 782, 13050, 4674, 543, 2882, 3134, 710, 31058, 538, 782, 2665, 269, 10705, 267, 13027, 6547, 616, 5701, 1900, 3772, 4470, 593, 519, 10335, 540, 519, 2068, 267, 855, 3134, 710, 31058, 1590, 581, 2016, 5612, 267, 1256, 1247, 32261, 782, 824, 5574, 563, 763, 1592, 540, 5574, 2882, 912, 268, 1325, 8117, 518, 565, 683, 12712, 6500, 952, 765, 22689, 568, 1459, 454, 268, 2271, 571, 27281, 5714, 585, 1970, 1973, 2604, 454, 268, 9210, 710, 31058, 10081, 2987, 915, 528, 610, 32326, 3134, 710, 31058, 538, 519, 6595, 8257, 454, 268, 27488, 267, 607, 2877, 454, 268, 2271, 889, 566, 585, 21572, 1852, 454, 268, 9315, 11340, 592, 14004, 759, 19895, 2787, 630, 9573, 305, 264, 585, 13487, 10654, 454, 1692, 547, 16473, 8892, 1323, 20942, 9471, 454, 763, 3119, 543, 1034, 6654, 1259, 547, 2061, 606, 20942, 9471, 568, 676, 9319, 12153, 269, 1280, 3236, 267, 952, 596, 4312, 1185, 513, 4049, 13027, 5114, 538, 519, 2250, 547, 513, 13520, 29097, 267, 2119, 547, 2057, 10987, 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 ]
[ 1007, 4213, 543, 5000, 7269, 267, 7551, 2810, 7694, 538, 519, 2146, 563, 763, 5313, 2229, 543, 922, 21621, 13413, 1223, 2308, 513, 2713, 13230, 3609, 267, 711, 1152, 547, 2327, 741, 1016, 9762, 26167, 4600, 616, 6976, 513, 13230, 1657, 519, 6710, 1899, 267, 855, 9972, 2157, 540, 2229, 1223, 849, 2709, 7482, 547, 25772, 547, 948, 3382, 519, 3790, 547, 2628, 2713, 13848, 547, 1004, 945, 960, 593, 15773, 540, 4872, 269, 901, 1223, 581, 851, 540, 513, 3677, 4640, 547, 2232, 6710, 267, 1945, 1279, 936, 16746, 563, 288, 2713, 13230, 3609, 1281, 711, 723, 547, 2333, 2604, 593, 1164, 15134, 3540, 22063, 693, 519, 18513, 1377, 267, 607, 519, 15061, 13571, 1512, 10418, 5063, 10645, 538, 513, 3609, 1957, 269, 634, 8998, 6659, 1082, 7301, 32302, 267, 1519, 519, 10206, 602, 1762, 1004, 1522, 10205, 3872, 3255, 585, 960, 267, 855, 649, 2731, 1810, 1405, 723, 547, 5855, 827, 2713, 13848, 2870, 513, 771, 514, 1417, 633, 547, 17885, 19216, 4758, 909, 2022, 29364, 776, 2069, 547, 7118, 896, 1269, 1428, 606, 5662, 269, 4746, 267, 2628, 9698, 3741, 1131, 4019, 865, 5234, 945, 616, 26438, 676, 519, 2749, 547, 798, 4775, 26730, 3990, 6009, 267, 971, 607, 1126, 1416, 267, 1131, 1118, 513, 2713, 13230, 607, 1454, 607, 824, 5520, 563, 29670, 13230, 4507, 616, 835, 4640, 602, 666, 581, 851, 540, 513, 3677, 6710, 2962, 1544, 602, 25772, 666, 22738, 269, 901, 3609, 4805, 786, 711, 9004, 6710, 267, 855, 621, 786, 1118, 513, 2462, 3017, 585, 4057, 5520, 896, 519, 1852, 540, 18513, 11731, 267, 607, 1134, 607, 1039, 547, 519, 2199, 4346, 563, 303, 11691, 13848, 602, 3112, 1489, 606, 1367, 1577, 4805, 513, 1920, 568, 2110, 1606, 32484, 269, 634, 3017, 1063, 15980, 896, 1269, 1428, 267, 1822, 543, 1269, 2420, 267, 1822, 568, 1713, 267, 538, 2474, 540, 519, 2298, 540, 1272, 543, 2702, 547, 7119, 538, 519, 2146, 547, 1404, 5026, 267, 979, 585, 12129, 2899, 538, 513, 1247, 543, 6488, 4557, 656, 6142, 269, 2755, 2229, 11731, 602, 2628, 6710, 13848, 3565, 547, 513, 2749, 540, 23602, 543, 17485, 619, 267, 2713, 13848, 616, 513, 3094, 2914, 514, 585, 3025, 538, 519, 2199, 4346, 543, 3565, 547, 513, 2749, 1141, 3025, 12851, 563, 300, 4115, 928, 31762, 650, 328, 568, 513, 5449, 715, 7894, 17090, 543, 1514, 19191, 269, 0, 763, 4830, 6453, 2707, 543, 1699, 2707, 666, 5838, 1379, 883, 513, 5078, 4452, 267, 971, 607, 513, 19919, 269, 634, 3090, 1031, 547, 5815, 513, 6453, 2707, 12419, 513, 6453, 966, 521, 630, 339, 264, 568, 3254, 538, 8431, 269, 769, 519, 1985, 1900, 267, 649, 1747, 519, 6453, 2707, 593, 519, 1318, 543, 8399, 13974, 269, 9747, 267, 538, 7305, 476, 276, 513, 2347, 1305, 540, 1374, 4834, 568, 2016, 585, 1142, 2013, 269, 3509, 5706, 633, 11387, 9967, 540, 4830, 6453, 2959, 543, 6453, 22306, 27856, 267, 4171, 642, 5889, 328, 6935, 4162, 616, 6024, 14553, 27865, 821, 2987, 920, 2084, 3252, 267, 723, 693, 1034, 835, 3070, 630, 291, 4428, 514, 267, 476, 3707, 278, 282, 631, 842, 344, 267, 476, 3422, 271, 282, 654, 1571, 517, 267, 476, 3192, 276, 1040, 1849, 1442, 476, 272, 282, 7913, 476, 1626, 282, 7351, 11905, 476, 272, 282, 30579, 11905, 476, 272, 282, 7913, 17796, 476, 275, 282, 5487, 2897, 17796, 476, 273, 282, 7981, 9577, 476, 4029, 269, 29062, 585, 18763, 30579, 630, 292, 264, 543, 18763, 7351, 630, 297, 264, 11905, 269, 6271, 1216, 4698, 1227, 606, 4998, 6453, 2707, 3112, 581, 5833, 269, 9295, 540, 1142, 4830, 2707, 9117, 4805, 269, 634, 11201, 540, 519, 25317, 568, 519, 16153, 339, 766, 267, 962, 290, 815, 521, 290, 543, 962, 299, 815, 476, 272, 4882, 299, 269, 634, 5547, 10035, 585, 606, 4998, 6453, 2707, 568, 2016, 538, 7612, 476, 272, 269, 1240, 320, 269, 3509, 24923, 11387, 4865, 519, 1482, 3959, 1759, 593, 741, 23289, 4805, 269, 8431, 269, 634, 2959, 666, 581, 19040, 883, 1079, 1114, 2010, 12882, 4830, 2707, 543, 8200, 2707, 269, 634, 4611, 5547, 568, 3254, 538, 7612, 476, 275, 269, 3953, 321, 269, 476, 272, 269, 1321, 320, 269, 1284, 8936, 513, 6453, 2707, 966, 272, 593, 519, 2451, 543, 4986, 593, 519, 1318, 269, 634, 2744, 3586, 2404, 609, 670, 3788, 23223, 656, 896, 713, 18440, 269, 10705, 621, 949, 581, 6719, 676, 519, 3090, 540, 513, 6007, 952, 519, 2707, 568, 513, 6007, 269, 634, 1990, 26730, 664, 14496, 540, 519, 5973, 4293, 12346, 593, 23525, 476, 272, 543, 476, 273, 1373, 4448, 547, 513, 6453, 2707, 630, 785, 8817, 6453, 2707, 610, 1566, 268, 2086, 3977, 264, 543, 5691, 2666, 267, 6606, 269, 29688, 1358, 666, 3132, 12808, 1699, 543, 12808, 6453, 1100, 2339, 519, 4452, 543, 789, 1683, 543, 10110, 1379, 8449, 1134, 269, 18564, 602, 519, 1062, 5119, 568, 1100, 3476, 27101, 1317, 540, 519, 8200, 1699, 2707, 267, 543, 1079, 540, 519, 1614, 9136, 723, 513, 1699, 2707, 267, 4758, 4473, 547, 513, 1875, 14706, 2165, 593, 519, 1318, 11804, 2427, 540, 519, 5119, 3830, 269, 4935, 267, 621, 949, 581, 11593, 4767, 602, 519, 2489, 5547, 540, 8431, 269, 14597, 513, 3060, 715, 814, 1100, 4830, 6453, 2959, 269, 769, 4641, 267, 1346, 28696, 616, 3812, 676, 1945, 543, 789, 616, 6719, 3090, 1227, 538, 11387, 269, 898, 30232, 2356, 6719, 676, 519, 3090, 2630, 281, 769, 713, 2013, 267, 519, 2856, 540, 513, 9823, 610, 8028, 6453, 3085, 5889, 339, 4019, 607, 519, 1699, 2707, 786, 3132, 8726, 6453, 568, 2556, 547, 1832, 513, 3586, 1699, 267, 2436, 602, 6453, 568, 2318, 267, 2942, 267, 610, 8795, 269, 1280, 1142, 540, 519, 2665, 267, 513, 12882, 13678, 921, 5889, 3070, 568, 849, 6035, 269, 476, 272, 269, 1556, 321, 267, 2982, 602, 607, 649, 6175, 681, 299, 267, 519, 4452, 6453, 3331, 492, 16006, 299, 11081, 543, 12772, 547, 4642, 585, 681, 299, 13651, 815, 13651, 476, 271, 267, 693, 799, 1448, 519, 1699, 998, 519, 4452, 19919, 267, 799, 568, 1631, 513, 2110, 5547, 267, 3587, 1775, 299, 13651, 815, 13651, 568, 322, 13651, 815, 13651, 568, 269, 1284, 6003, 519, 1898, 9136, 476, 272, 267, 476, 273, 267, 543, 476, 274, 538, 519, 2699, 22148, 5547, 267, 609, 519, 4704, 6843, 693, 519, 5377, 540, 519, 5547, 543, 1614, 6843, 28696, 966, 272, 267, 966, 273, 267, 543, 966, 274, 267, 607, 8612, 269, 17796, 616, 540, 1079, 2010, 268, 8200, 2959, 543, 4830, 2959, 269, 1677, 2347, 519, 10282, 538, 2259, 267, 930, 18440, 568, 2838, 269, 1677, 2057, 17279, 267, 1374, 4834, 786, 581, 2016, 1152, 585, 519, 811, 4749, 1031, 16777, 543, 670, 293, 3252, 269, 634, 2451, 2427, 568, 4448, 865, 602, 519, 9013, 1699, 630, 514, 713, 2013, 594, 476, 271, 264, 8255, 998, 519, 2451, 2427, 540, 519, 8200, 2707, 3090, 269, 589, 1699, 2707, 568, 519, 12242, 540, 513, 6453, 2707, 269, 1284, 6003, 519, 1898, 9136, 607, 476, 272, 267, 476, 273, 267, 543, 476, 274, 538, 519, 2699, 22148, 5547, 267, 609, 519, 4704, 6843, 693, 519, 5377, 540, 519, 5547, 543, 1614, 6843, 28696, 267, 966, 272, 267, 966, 273, 267, 543, 966, 274, 607, 8612, 269, 901, 666, 2099, 1022, 4830, 6453, 2707, 267, 2436, 8028, 610, 9823, 610, 1312, 269, 1280, 1383, 267, 8220, 513, 4452, 19919, 681, 299, 540, 12808, 4187, 630, 7474, 568, 267, 606, 1930, 5547, 264, 547, 513, 1699, 2707, 1131, 3132, 1379, 533, 13651, 815, 13651, 1775, 273, 338, 12435, 267, 799, 568, 12808, 267, 607, 676, 4214, 519, 4998, 1699, 2707, 786, 2226, 568, 1699, 998, 519, 1930, 5547, 269, 5681, 2719, 519, 14768, 6028, 519, 2706, 27161, 476, 273, 1341, 476, 274, 3947, 267, 634, 2034, 2706, 27161, 3830, 568, 918, 309, 299, 998, 519, 6843, 28696, 543, 519, 4830, 2707, 267, 4758, 267, 634, 1079, 6843, 543, 918, 309, 299, 4834, 616, 2854, 538, 5119, 3898, 607, 269, 769, 519, 1985, 3296, 267, 513, 2143, 1383, 568, 2016, 547, 6542, 1142, 1900, 540, 519, 1374, 269, 769, 519, 5955, 10092, 267, 19218, 661, 543, 23564, 19218, 674, 1683, 1079, 1797, 585, 14927, 532, 519, 4483, 1599, 18635, 269, 0, 12988, 1677, 3427, 543, 4864, 5675, 8871, 14186, 281, 3657, 596, 3168, 585, 513, 3860, 1592, 540, 1603, 12987, 543, 4760, 2093, 547, 946, 1282, 519, 3923, 540, 4864, 286, 12989, 267, 596, 786, 1265, 513, 1592, 540, 2489, 1394, 547, 1153, 1603, 12987, 543, 513, 1592, 540, 1808, 11706, 7389, 585, 4864, 799, 2270, 3860, 1603, 2093, 1644, 547, 602, 1880, 4266, 538, 4864, 269, 11545, 5675, 8871, 14186, 910, 634, 11819, 781, 4856, 1676, 1306, 2141, 267, 634, 11819, 781, 4856, 1676, 568, 3168, 585, 2081, 547, 1118, 707, 1272, 4443, 269, 1284, 4126, 602, 938, 21777, 1840, 267, 968, 291, 2905, 5675, 8871, 14186, 2223, 1281, 1175, 602, 269, 2201, 607, 1082, 2395, 607, 2009, 267, 649, 723, 5697, 606, 2680, 689, 938, 10865, 2680, 30300, 1513, 547, 581, 519, 1445, 540, 519, 1603, 5401, 269, 1452, 1603, 12987, 666, 581, 1031, 538, 513, 1297, 540, 2081, 281, 5675, 8871, 14186, 585, 476, 276, 628, 6103, 910, 2219, 1723, 2593, 454, 277, 628, 6103, 4828, 5675, 11762, 269, 8058, 532, 1283, 476, 279, 3211, 538, 519, 7121, 910, 476, 277, 628, 6103, 4828, 5675, 11762, 269, 2368, 540, 519, 3211, 10268, 616, 31849, 543, 6266, 540, 1603, 12987, 1603, 12987, 267, 32722, 30348, 1603, 17142, 9344, 476, 274, 476, 277, 267, 5675, 12987, 2875, 6299, 7879, 543, 3732, 6114, 267, 8262, 476, 272, 267, 5675, 12987, 585, 1647, 1153, 267, 5675, 5439, 642, 9826, 2407, 267, 14520, 628, 3446, 1603, 267, 476, 275, 628, 543, 476, 276, 628, 4429, 277, 628, 6103, 7335, 6657, 910, 476, 277, 628, 6103, 7335, 18500, 18500, 8967, 2454, 30949, 814, 6863, 2262, 8638, 1759, 593, 476, 277, 628, 3446, 5929, 3332, 602, 568, 1175, 1318, 585, 2542, 6044, 538, 707, 4928, 269, 1306, 1053, 2263, 5871, 11759, 3557, 11621, 1396, 476, 272, 560, 3446, 1603, 1957, 1107, 1520, 857, 6242, 267, 19364, 7602, 494, 7982, 547, 5717, 17397, 538, 281, 17564, 5988, 476, 1428, 267, 476, 1001, 280, 693, 476, 274, 281, 736, 993, 1948, 13199, 8618, 11352, 715, 8582, 256, 5192, 513, 9649, 10958, 256, 8437, 28313, 256, 1107, 1107, 1107, 1107, 1107, 1107, 1107, 1107, 1107, 1107, 476, 272, 560, 3446, 1603, 1957, 2688, 17720, 2079, 1557, 1603, 3135, 585, 6280, 1957, 2507, 476, 5392, 14313, 14520, 628, 6103, 4828, 3584, 910, 2353, 6168, 1763, 2541, 1923, 2353, 2507, 476, 5392, 14313, 14520, 628, 6103, 4828, 3584, 1107, 519, 1603, 12987, 23519, 9344, 476, 276, 476, 277, 676, 536, 32569, 1071, 1156, 476, 276, 5037, 1557, 10959, 1655, 476, 276, 5037, 1557, 1383, 476, 277, 628, 16878, 1557, 1603, 12987, 4996, 16481, 30113, 520, 16120, 1771, 3732, 1557, 19875, 585, 2507, 476, 4029, 476, 279, 628, 6103, 5675, 14313, 3040, 4750, 289, 3291, 625, 2593, 454, 9834, 476, 277, 628, 6103, 4828, 11762, 910, 476, 278, 628, 6103, 5675, 8871, 14186, 4828, 11762, 267, 29480, 1280, 5664, 3427, 11762, 476, 277, 628, 2398, 26057, 321, 1601, 476, 276, 24225, 6103, 267, 476, 277, 5903, 1849, 4937, 454, 22826, 476, 277, 628, 6103, 281, 476, 2004, 9669, 267, 570, 9581, 267, 543, 5696, 650, 5050, 14313, 14520, 628, 17603, 616, 1007, 547, 1647, 1153, 267, 543, 789, 608, 8775, 606, 608, 21310, 656, 267, 11164, 29087, 6015, 269, 1358, 2461, 513, 12257, 630, 604, 3006, 513, 4161, 264, 547, 4001, 267, 865, 649, 10356, 476, 2004, 4388, 543, 2093, 689, 938, 4116, 2146, 543, 1472, 519, 1357, 269, 6787, 596, 2461, 513, 1007, 29560, 610, 513, 17022, 547, 3450, 476, 277, 628, 3446, 267, 649, 1589, 596, 4429, 277, 628, 6103, 661, 6369, 734, 16240, 15099, 454, 277, 628, 6103, 693, 25424, 28732, 25943, 12140, 476, 277, 628, 3446, 693, 25424, 28732, 12140, 568, 513, 15508, 18398, 543, 13858, 942, 269, 1358, 3580, 1265, 602, 789, 616, 1631, 519, 8797, 543, 7820, 1053, 1413, 909, 547, 873, 269, 23531, 5675, 3794, 523, 1723, 324, 1923, 15881, 566, 1923, 2372, 559, 1154, 23531, 5675, 3794, 523, 1723, 324, 910, 5131, 4647, 607, 7300, 11711, 30285, 23486, 1070, 7956, 11711, 30285, 339, 868, 264, 610, 1224, 2228, 585, 1863, 269, 12143, 5675, 6201, 9625, 6348, 8421, 545, 8525, 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 ]
[ 1522, 723, 1434, 4128, 585, 741, 5784, 4534, 4128, 602, 596, 1810, 1405, 1265, 4625, 20310, 269, 5457, 267, 952, 519, 3390, 941, 835, 540, 9406, 5288, 269, 654, 3994, 267, 972, 1131, 581, 1100, 1448, 538, 3181, 908, 621, 8198, 288, 674, 11246, 27749, 454, 307, 8008, 12903, 1299, 8946, 2464, 3041, 12327, 4456, 12195, 2464, 454, 307, 8008, 2975, 281, 1560, 22815, 1424, 454, 289, 4696, 281, 10610, 22815, 1424, 568, 2442, 1851, 3214, 19951, 563, 289, 4953, 9898, 281, 10610, 22815, 1424, 1851, 4207, 6107, 4564, 519, 5767, 1106, 540, 6450, 2454, 1996, 6392, 602, 3105, 5481, 28955, 538, 7296, 267, 3478, 21003, 657, 267, 543, 9849, 9910, 1606, 330, 16630, 563, 289, 4696, 281, 21058, 12372, 616, 3478, 811, 2442, 563, 289, 4953, 9898, 281, 4438, 519, 2250, 2947, 1296, 267, 7574, 5159, 899, 15593, 2643, 18844, 267, 21142, 529, 5651, 529, 8291, 267, 543, 4035, 601, 723, 4396, 1881, 513, 1747, 585, 2021, 781, 2575, 593, 519, 1283, 4557, 12125, 563, 307, 8008, 2975, 281, 3377, 3795, 454, 1993, 4108, 2962, 454, 289, 4696, 281, 5240, 3795, 540, 4108, 3527, 14944, 1149, 741, 3978, 1145, 563, 289, 4953, 9898, 281, 1635, 10023, 8711, 540, 2011, 16716, 543, 4708, 268, 15209, 13485, 593, 519, 3377, 267, 8613, 12696, 2569, 873, 547, 519, 4567, 540, 2442, 9913, 543, 24183, 519, 5304, 781, 7071, 540, 519, 3978, 1145, 540, 4108, 3527, 269, 0, 309, 2884, 21601, 5071, 919, 922, 12059, 681, 4461, 541, 13505, 454, 276, 4873, 476, 1001, 272, 281, 634, 10555, 30353, 540, 519, 13482, 593, 22911, 4133, 540, 4139, 11957, 630, 305, 4461, 541, 13482, 264, 814, 4080, 602, 519, 6554, 540, 8304, 21601, 814, 11280, 519, 13391, 2142, 2817, 5244, 607, 922, 3791, 681, 4461, 541, 13505, 269, 634, 25084, 729, 31764, 547, 14626, 728, 609, 2622, 7025, 4303, 543, 519, 4139, 5729, 540, 11206, 476, 1001, 272, 563, 289, 320, 2142, 2817, 5244, 7028, 519, 1152, 1713, 2067, 7823, 10720, 538, 8304, 21601, 269, 898, 568, 519, 1034, 1271, 26868, 538, 519, 2197, 781, 6870, 1858, 1062, 267, 1317, 621, 568, 519, 1152, 3135, 609, 513, 2067, 10720, 11303, 676, 513, 29990, 737, 541, 560, 5117, 563, 4263, 16873, 4371, 585, 519, 17609, 540, 519, 5244, 267, 10529, 15091, 519, 1271, 1909, 540, 7733, 538, 2804, 1646, 543, 2825, 4027, 267, 607, 1134, 607, 519, 991, 585, 26868, 5726, 543, 8797, 946, 269, 1496, 305, 4461, 541, 4964, 24793, 316, 1496, 20373, 540, 8304, 21601, 781, 681, 4461, 541, 26317, 316, 0, 5804, 9504, 267, 519, 1863, 22605, 454, 10112, 344, 6319, 949, 3277, 547, 912, 268, 28435, 6319, 267, 606, 3504, 10504, 538, 27859, 454, 268, 23657, 540, 1079, 16899, 540, 519, 14655, 7276, 912, 268, 28435, 6319, 630, 31718, 11662, 1070, 11662, 540, 519, 4936, 7276, 454, 268, 1306, 584, 6017, 267, 519, 590, 28045, 573, 11662, 454, 268, 28435, 6929, 22657, 267, 519, 1699, 10923, 4087, 540, 2221, 781, 2413, 28435, 20379, 454, 268, 589, 2413, 2165, 13288, 547, 519, 10661, 540, 513, 1533, 585, 519, 28435, 6929, 1004, 267, 1294, 28435, 6929, 7115, 454, 268, 28435, 6319, 24104, 1222, 267, 12309, 454, 347, 1607, 771, 3711, 580, 6672, 2985, 8638, 4930, 2404, 609, 519, 1482, 2140, 563, 2252, 606, 4835, 3095, 3366, 596, 1934, 267, 596, 949, 6999, 547, 1689, 519, 3095, 547, 1448, 2047, 547, 519, 5497, 2376, 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 ]
[ 968, 1492, 4354, 572, 540, 595, 668, 6202, 1848, 3571, 3356, 547, 5507, 729, 606, 9065, 566, 269, 2368, 835, 6376, 532, 1018, 24921, 4682, 856, 547, 1294, 1010, 17636, 267, 646, 12943, 1765, 2108, 3719, 952, 789, 3357, 547, 1294, 803, 554, 6548, 267, 875, 1082, 811, 1131, 972, 581, 8206, 4840, 305, 301, 10430, 267, 1310, 519, 2669, 540, 519, 1101, 8176, 267, 519, 13584, 540, 454, 310, 2297, 1765, 28846, 519, 5822, 1765, 13195, 29064, 3751, 676, 1931, 540, 519, 13677, 12057, 269, 634, 1762, 4622, 729, 693, 519, 670, 6558, 454, 15290, 11184, 9478, 19958, 4547, 1864, 4987, 540, 1018, 1185, 3144, 1747, 269, 1261, 5612, 16718, 1540, 26652, 267, 543, 1310, 8429, 930, 942, 538, 8303, 267, 4682, 547, 14948, 267, 1141, 646, 4121, 602, 1010, 10343, 540, 519, 13677, 13862, 729, 21002, 2989, 609, 1978, 2175, 268, 1718, 1431, 711, 538, 1022, 1259, 21165, 658, 547, 1010, 1208, 712, 269, 898, 729, 2219, 1697, 602, 646, 1058, 5094, 5128, 689, 1010, 4744, 5193, 15274, 267, 540, 7247, 972, 941, 1082, 282, 602, 646, 1058, 15646, 8784, 9210, 4593, 641, 2329, 543, 2220, 792, 547, 519, 595, 19879, 24568, 1249, 267, 602, 646, 1058, 3398, 782, 519, 2474, 7282, 799, 1010, 4651, 1185, 538, 519, 1101, 1747, 1055, 2105, 519, 13677, 4182, 269, 12846, 8176, 729, 27352, 21407, 676, 519, 7086, 656, 855, 521, 1481, 2435, 8053, 13427, 267, 543, 1866, 267, 602, 1010, 10343, 540, 519, 2474, 1131, 581, 8806, 10151, 269, 634, 595, 8576, 534, 1562, 6719, 1152, 513, 3296, 540, 13677, 10121, 1235, 8584, 1804, 3296, 267, 855, 1869, 711, 782, 11652, 609, 4914, 948, 1454, 1522, 581, 2944, 267, 952, 8176, 1058, 693, 2899, 1831, 16313, 540, 519, 2244, 563, 3383, 8176, 8815, 547, 2743, 519, 8189, 619, 693, 645, 1042, 320, 267, 543, 8053, 13427, 2348, 1044, 2813, 513, 2261, 638, 529, 543, 4607, 519, 6723, 267, 6659, 519, 10424, 3044, 538, 519, 4400, 4133, 267, 543, 1572, 2390, 519, 804, 753, 547, 4473, 543, 9718, 741, 4622, 1354, 519, 595, 8576, 534, 1562, 1223, 6133, 1864, 547, 519, 2296, 607, 789, 454, 17495, 2944, 1010, 4651, 269, 1261, 17820, 513, 7333, 1676, 12946, 513, 6041, 540, 519, 581, 20243, 16313, 609, 519, 30115, 267, 834, 297, 19276, 543, 1285, 3188, 1250, 2014, 267, 744, 7083, 1848, 634, 2012, 540, 8053, 13427, 729, 2404, 609, 1082, 13085, 3527, 855, 3527, 9808, 9853, 609, 9810, 269, 1261, 729, 6719, 676, 1010, 851, 714, 753, 607, 513, 1629, 328, 3766, 617, 267, 543, 676, 1010, 14763, 607, 513, 20599, 269, 1261, 729, 519, 31561, 540, 1010, 7980, 267, 968, 20130, 1576, 729, 5618, 543, 6505, 282, 855, 519, 21386, 729, 602, 540, 513, 1973, 2699, 28661, 15385, 519, 695, 3291, 1359, 28813, 267, 543, 711, 540, 513, 9350, 543, 11931, 5182, 1848, 634, 1906, 13794, 945, 11303, 1864, 950, 581, 4652, 584, 1194, 1010, 3044, 585, 519, 1762, 4622, 941, 11207, 22424, 564, 550, 547, 454, 4186, 652, 609, 519, 4229, 5612, 2366, 1996, 873, 676, 519, 595, 8576, 534, 1562, 269, 15776, 12340, 267, 519, 12703, 2025, 17199, 267, 4359, 547, 28586, 1864, 269, 18135, 2559, 267, 609, 513, 1560, 540, 7504, 267, 729, 2366, 547, 2638, 1010, 3356, 269, 8053, 13427, 729, 10393, 16091, 543, 4625, 17204, 269, 18135, 2559, 267, 1354, 519, 4339, 267, 3459, 10912, 1010, 2367, 1472, 1864, 267, 543, 5483, 873, 602, 2696, 1185, 2016, 968, 1492, 31111, 543, 19980, 622, 8053, 13427, 883, 741, 3946, 1848, 1261, 1287, 5795, 856, 513, 533, 15680, 332, 267, 799, 789, 31025, 267, 543, 1287, 789, 24797, 538, 20422, 3549, 267, 9991, 538, 27057, 609, 8053, 13427, 543, 1818, 606, 2653, 11802, 269, 8053, 13427, 1185, 1010, 7504, 7166, 896, 1864, 267, 543, 1498, 646, 3893, 1776, 7504, 543, 2220, 600, 2066, 513, 4028, 5757, 267, 646, 19679, 538, 971, 554, 4292, 607, 547, 4734, 3297, 1864, 1010, 18156, 267, 27972, 752, 267, 543, 9241, 14092, 638, 1600, 5182, 543, 6095, 614, 269, 769, 519, 24320, 1047, 540, 513, 32066, 646, 6603, 519, 10239, 540, 590, 9801, 1633, 267, 543, 1336, 606, 28357, 538, 519, 2777, 540, 5839, 548, 617, 540, 2667, 9321, 267, 945, 1185, 19497, 6039, 896, 1864, 269, 901, 3490, 812, 20729, 539, 1864, 883, 519, 3946, 540, 1010, 535, 3996, 563, 763, 595, 8576, 534, 1562, 5342, 741, 15626, 26956, 538, 17636, 547, 25470, 267, 1141, 646, 729, 6534, 547, 519, 1034, 693, 549, 4109, 1202, 6699, 269, 2991, 1373, 5342, 998, 519, 1857, 10754, 267, 3808, 1524, 593, 513, 1164, 14541, 538, 513, 7047, 9112, 585, 519, 3483, 267, 609, 1010, 11058, 1055, 267, 519, 11056, 518, 18913, 1864, 267, 543, 1010, 10492, 6972, 1079, 543, 1079, 538, 10099, 1562, 3297, 1864, 267, 646, 729, 4547, 1354, 519, 12057, 269, 700, 3716, 517, 267, 519, 4960, 27891, 267, 538, 513, 454, 267, 10795, 3616, 14212, 1065, 549, 3737, 1864, 609, 519, 15294, 619, 267, 1726, 3517, 267, 543, 791, 29136, 585, 799, 646, 729, 1631, 547, 7985, 7873, 793, 10751, 269, 8053, 13427, 267, 945, 16004, 782, 519, 967, 793, 885, 609, 519, 6574, 6109, 1145, 267, 543, 6743, 1524, 609, 513, 15626, 771, 323, 664, 593, 519, 678, 4545, 712, 540, 1010, 14763, 267, 12050, 569, 14452, 267, 602, 538, 782, 1010, 2112, 3697, 16904, 646, 729, 11562, 5896, 676, 602, 10243, 799, 646, 1185, 4607, 689, 1010, 610, 741, 4487, 267, 1996, 4171, 1876, 995, 6392, 789, 1185, 25517, 741, 3044, 6902, 602, 1100, 1973, 1185, 2479, 1044, 8774, 676, 1864, 855, 538, 519, 2361, 540, 6370, 267, 543, 1082, 7606, 941, 1631, 538, 1010, 3750, 2173, 1415, 1631, 546, 1563, 547, 24969, 4845, 540, 2669, 2390, 1864, 267, 4171, 1272, 267, 585, 10623, 1243, 676, 519, 4031, 540, 2112, 267, 646, 1185, 19497, 10710, 689, 519, 535, 1722, 540, 519, 7980, 282, 602, 646, 729, 20994, 547, 1265, 1100, 1732, 21981, 540, 741, 2132, 547, 14336, 4800, 982, 519, 12638, 540, 513, 21705, 1641, 267, 538, 4171, 2669, 519, 4622, 781, 10243, 1590, 581, 865, 3810, 13676, 543, 29405, 539, 282, 602, 267, 607, 585, 5128, 267, 646, 1085, 1941, 539, 741, 642, 785, 1112, 633, 10178, 520, 673, 30270, 267, 543, 729, 1152, 575, 7205, 693, 519, 733, 2541, 569, 6035, 547, 602, 6392, 676, 799, 646, 19500, 269, 1261, 729, 554, 6548, 593, 513, 575, 756, 321, 564, 13977, 3952, 1164, 6902, 1010, 2212, 729, 19952, 6378, 593, 513, 21782, 538, 519, 3854, 267, 543, 1010, 17873, 2366, 585, 4598, 538, 1114, 4872, 563, 763, 1762, 4622, 6217, 519, 12556, 540, 1010, 12703, 24343, 543, 22700, 267, 1486, 6479, 454, 1729, 519, 13677, 12057, 602, 646, 1185, 2760, 2278, 2213, 1864, 547, 2721, 519, 454, 2108, 306, 790, 267, 8259, 538, 707, 9997, 543, 25903, 596, 616, 13854, 267, 3564, 782, 11688, 2787, 267, 540, 519, 32660, 540, 713, 17083, 267, 798, 711, 24049, 547, 621, 7224, 267, 711, 585, 1614, 25267, 3034, 2108, 16031, 269, 717, 14792, 9225, 2223, 1767, 519, 4622, 267, 968, 296, 993, 13854, 267, 543, 786, 4061, 24049, 3034, 2691, 519, 3377, 540, 519, 1762, 4622, 781, 21200, 538, 10430, 729, 1634, 538, 4789, 267, 3742, 3800, 941, 3144, 547, 2569, 519, 595, 8576, 534, 1562, 543, 547, 536, 4314, 741, 6074, 19988, 269, 1323, 7952, 729, 19632, 543, 519, 4971, 6035, 547, 12876, 325, 1314, 267, 855, 17379, 269, 595, 668, 6202, 1287, 931, 5034, 547, 3398, 519, 4971, 267, 543, 5612, 862, 10642, 1010, 15292, 547, 519, 3345, 269, 634, 8857, 577, 4862, 540, 1010, 4434, 543, 6424, 15776, 12340, 267, 609, 24239, 8536, 2367, 267, 5423, 547, 4309, 1864, 563, 4002, 519, 476, 2420, 526, 540, 5147, 595, 668, 6202, 781, 7952, 18084, 519, 570, 15634, 269, 1358, 1336, 519, 2898, 2197, 998, 799, 789, 22415, 1117, 964, 25544, 269, 898, 1185, 1044, 9788, 3653, 676, 519, 29703, 547, 2061, 519, 2296, 13844, 1022, 7727, 269, 634, 1004, 1185, 19679, 22433, 4849, 513, 1906, 2021, 267, 945, 593, 741, 19704, 14850, 4454, 23502, 19963, 1867, 2348, 1044, 6933, 730, 602, 595, 668, 6202, 1185, 17251, 593, 11495, 519, 1318, 1688, 689, 1169, 5256, 1657, 28465, 543, 896, 24239, 267, 543, 547, 533, 15127, 609, 2699, 3620, 582, 3352, 976, 519, 6089, 540, 1169, 4807, 646, 1223, 1265, 269, 898, 568, 17077, 569, 2556, 972, 729, 1100, 5168, 538, 519, 15555, 712, 267, 855, 621, 729, 18481, 15265, 11652, 711, 1510, 930, 1397, 540, 5506, 267, 13745, 609, 595, 668, 6202, 781, 2487, 6411, 538, 8581, 23121, 6445, 519, 32066, 787, 609, 15372, 543, 547, 5397, 873, 1354, 1864, 607, 13265, 1354, 20384, 269, 769, 519, 1000, 559, 697, 540, 602, 5147, 3781, 519, 581, 13154, 11642, 540, 10430, 941, 1769, 539, 269, 9605, 12943, 3595, 543, 3262, 998, 519, 2244, 519, 3377, 540, 595, 668, 6202, 781, 4947, 269, 634, 2296, 4718, 519, 2699, 1769, 538, 519, 6607, 267, 543, 789, 6785, 1018, 621, 2823, 2105, 9789, 344, 6785, 602, 519, 29703, 941, 6385, 8375, 27677, 1152, 547, 2226, 3751, 8176, 267, 855, 547, 8190, 741, 22874, 547, 3180, 676, 741, 595, 19879, 281, 0, 338, 793, 1023, 543, 2792, 1210, 17514, 454, 10376, 1158, 814, 811, 982, 476, 736, 2516, 609, 476, 276, 13410, 1142, 269, 1280, 1383, 267, 519, 2262, 834, 301, 8283, 257, 1131, 581, 834, 21776, 1325, 17304, 8841, 25463, 27365, 257, 950, 25250, 538, 519, 13093, 2045, 1547, 24114, 32301, 11650, 5512, 4229, 689, 1082, 6082, 547, 5968, 538, 513, 1259, 602, 568, 6956, 676, 782, 269, 595, 1328, 15899, 568, 606, 22925, 3014, 2919, 676, 27684, 622, 324, 269, 595, 1328, 15899, 6178, 1023, 543, 2792, 1210, 17514, 8080, 782, 3755, 547, 519, 1152, 2985, 602, 814, 782, 1344, 543, 4267, 267, 2877, 547, 2347, 595, 1328, 15899, 3014, 269, 1280, 1383, 519, 4484, 834, 306, 257, 568, 6719, 1210, 513, 3043, 9206, 609, 513, 4544, 4216, 538, 519, 4099, 269, 3657, 596, 3168, 585, 2760, 10678, 1187, 538, 713, 3078, 7954, 2634, 813, 286, 6396, 540, 2792, 1210, 2699, 30819, 3641, 17514, 9442, 30918, 269, 898, 729, 1031, 585, 1082, 1296, 267, 585, 1383, 547, 1780, 6786, 1063, 9635, 693, 4262, 267, 543, 950, 513, 6928, 729, 1547, 25035, 5033, 7469, 648, 630, 5228, 519, 9147, 5259, 630, 338, 2742, 264, 1412, 338, 793, 262, 543, 910, 11196, 335, 12516, 264, 21029, 2041, 13145, 10807, 568, 513, 5033, 7469, 648, 1062, 23187, 1344, 693, 513, 3845, 676, 1797, 540, 3308, 6786, 609, 1688, 13463, 671, 17514, 267, 22203, 267, 28283, 267, 533, 5417, 956, 267, 610, 12212, 11953, 610, 1350, 3437, 3946, 269, 630, 323, 264, 20429, 936, 513, 10978, 688, 8814, 269, 634, 2012, 540, 713, 1433, 6257, 519, 1062, 540, 10230, 5365, 17514, 607, 25220, 570, 716, 923, 610, 513, 5530, 593, 631, 2033, 340, 591, 543, 6178, 1023, 269, 28686, 4469, 4711, 723, 1044, 513, 1390, 2707, 585, 2792, 2094, 789, 941, 2813, 269, 5565, 268, 12072, 543, 1614, 268, 12072, 6786, 616, 1547, 11310, 540, 5365, 10618, 666, 581, 1360, 3407, 952, 5925, 3937, 568, 538, 10869, 267, 610, 972, 568, 1100, 1455, 4908, 1063, 596, 543, 519, 6728, 596, 6999, 547, 5968, 609, 267, 610, 1141, 972, 568, 513, 1893, 3017, 269, 19321, 2792, 609, 8783, 22153, 531, 543, 824, 4013, 10986, 543, 1867, 267, 607, 2838, 269, 6178, 1023, 543, 2792, 1210, 17514, 10658, 26072, 9061, 5320, 1849, 826, 269, 4634, 538, 713, 1554, 543, 2085, 540, 5904, 267, 543, 5985, 11436, 267, 519, 946, 540, 9206, 6786, 3788, 1271, 269, 6787, 568, 568, 513, 2241, 5618, 532, 1354, 2921, 513, 5996, 1195, 3444, 2197, 267, 610, 5329, 707, 4971, 619, 5483, 1282, 513, 2101, 6370, 269, 630, 322, 264, 14675, 15202, 267, 1210, 519, 5651, 572, 6698, 3254, 538, 3848, 476, 272, 267, 8791, 476, 1015, 8525, 476, 1704, 269, 630, 17220, 8943, 540, 6178, 1023, 264, 2792, 1062, 799, 568, 875, 9635, 5968, 609, 1142, 824, 693, 4262, 269, 11310, 540, 5365, 10618, 666, 581, 1360, 3407, 952, 5925, 3937, 568, 538, 10869, 267, 610, 972, 568, 1100, 1455, 4908, 1063, 596, 543, 519, 6728, 596, 6999, 547, 5968, 609, 267, 610, 1141, 972, 568, 513, 1893, 3017, 269, 5033, 7469, 648, 267, 1505, 540, 3308, 15202, 267, 2356, 676, 1797, 540, 17514, 610, 8279, 269, 29853, 6513, 269, 8921, 1547, 769, 1931, 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, 6092, 5149, 281, 4197, 2920, 13659, 543, 20309, 998, 5675, 543, 589, 2388, 692, 8893, 476, 272, 281, 4985, 547, 2920, 13659, 543, 8682, 268, 2750, 16054, 692, 5331, 596, 1294, 1945, 4636, 8345, 538, 707, 2146, 910, 6148, 621, 781, 11648, 693, 1153, 267, 16445, 8720, 707, 5172, 6288, 267, 610, 8635, 1851, 2828, 269, 3767, 4952, 2348, 519, 1379, 547, 1689, 1346, 3871, 256, 901, 568, 1018, 15628, 798, 1169, 1554, 269, 1358, 2697, 2152, 789, 1416, 827, 7184, 543, 1491, 3527, 547, 3142, 2318, 2242, 269, 2920, 643, 1235, 946, 1114, 2409, 971, 607, 17600, 267, 1148, 267, 18531, 267, 543, 12591, 547, 3262, 741, 5048, 269, 4653, 267, 649, 786, 2263, 875, 1004, 2769, 741, 5784, 543, 1711, 5322, 1210, 1913, 543, 23339, 780, 7078, 281, 5689, 8403, 962, 748, 2378, 345, 2967, 729, 1175, 476, 1428, 1296, 2025, 950, 1352, 3323, 14957, 585, 6690, 685, 2069, 538, 9031, 269, 2701, 1031, 1200, 1603, 1983, 547, 2671, 1200, 1650, 11451, 543, 6273, 6634, 540, 1004, 547, 4339, 585, 3160, 3872, 3255, 269, 4173, 10100, 3366, 547, 519, 5250, 540, 519, 5689, 8403, 8750, 267, 799, 7028, 2199, 7855, 543, 15628, 1472, 519, 1158, 2324, 2509, 3246, 2298, 2069, 585, 782, 1453, 780, 12244, 281, 6056, 827, 606, 3390, 596, 1745, 9244, 827, 538, 707, 1272, 630, 520, 1753, 267, 1153, 267, 610, 2146, 1040, 3503, 1524, 1946, 713, 6927, 547, 596, 543, 2097, 909, 609, 1614, 2081, 596, 666, 948, 2232, 713, 1966, 269, 9523, 707, 4555, 609, 707, 15032, 780, 8893, 476, 273, 281, 26157, 14313, 543, 11059, 1107, 32027, 7869, 883, 6657, 692, 8002, 643, 1235, 1810, 1405, 1175, 2911, 827, 2042, 282, 789, 960, 2182, 547, 1265, 3435, 269, 1879, 2576, 814, 2178, 2093, 827, 1818, 1919, 1732, 267, 789, 2322, 873, 883, 2259, 676, 2921, 1483, 3268, 4724, 6454, 269, 1452, 3527, 616, 11461, 676, 3741, 267, 2418, 267, 543, 6436, 269, 1635, 9256, 1312, 2854, 4082, 543, 15889, 3527, 267, 2043, 666, 8300, 1866, 547, 6443, 741, 2014, 780, 7078, 281, 13983, 3279, 774, 684, 6199, 267, 513, 16528, 18295, 2825, 19191, 267, 11099, 6612, 2299, 538, 8165, 2916, 1689, 269, 2991, 1565, 827, 2518, 8337, 267, 1352, 4956, 547, 10880, 689, 1153, 1169, 11016, 2394, 13785, 3576, 1713, 2962, 1996, 3327, 5434, 269, 17652, 267, 5215, 540, 1053, 2066, 519, 8608, 8678, 2605, 12156, 2690, 31306, 16716, 267, 7586, 4328, 13983, 3279, 781, 5639, 543, 11121, 7104, 2962, 780, 12244, 281, 7994, 835, 2856, 596, 3357, 909, 609, 1282, 7689, 476, 272, 269, 3763, 513, 2110, 1544, 24223, 519, 2556, 3268, 547, 2936, 621, 18374, 269, 5457, 547, 2015, 1022, 2591, 596, 949, 3068, 2059, 519, 1259, 543, 1589, 21176, 827, 2009, 3435, 269, 10558, 707, 4566, 547, 707, 15032, 543, 1865, 1761, 4093, 1927, 780, 8893, 476, 274, 281, 1975, 15105, 2659, 24606, 21661, 645, 7451, 1107, 12861, 6820, 22627, 692, 2691, 899, 16490, 2043, 26595, 5103, 10923, 9883, 267, 3532, 3486, 5322, 10836, 269, 19457, 2984, 267, 2833, 267, 2994, 267, 543, 2200, 2636, 15628, 5001, 547, 1451, 689, 835, 1776, 267, 14304, 741, 3646, 15217, 269, 8625, 267, 789, 1106, 5121, 5009, 17604, 267, 6043, 267, 543, 6667, 780, 7078, 281, 2549, 333, 17965, 4139, 3459, 607, 513, 1507, 1895, 540, 3703, 17864, 5859, 532, 585, 2797, 14586, 269, 3683, 3670, 5756, 267, 621, 7960, 883, 513, 7986, 2518, 1480, 2924, 3919, 609, 5216, 2929, 2818, 17364, 936, 476, 3583, 2477, 269, 4635, 4484, 2914, 3876, 11044, 267, 23405, 267, 543, 1382, 5359, 267, 2549, 333, 17965, 4139, 12651, 4656, 540, 28407, 1247, 2046, 1005, 6608, 547, 2463, 1480, 2924, 780, 12244, 281, 5994, 23712, 609, 8284, 1053, 689, 2947, 1114, 2477, 945, 1616, 547, 10994, 519, 1482, 1514, 3390, 596, 8359, 4505, 269, 9181, 10486, 543, 3604, 1063, 707, 4485, 543, 5385, 1344, 3823, 3811, 12485, 6964, 538, 9757, 4525, 269, 5071, 513, 4745, 1788, 29544, 9322, 543, 3838, 3853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 6260, 519, 9605, 454, 17220, 9293, 540, 20348, 10846, 609, 519, 3117, 335, 16820, 540, 19204, 540, 9605, 454, 29394, 658, 676, 16671, 293, 281, 1215, 1284, 595, 877, 909, 2060, 519, 10417, 540, 4563, 4139, 661, 1885, 454, 2171, 6157, 723, 513, 2603, 811, 547, 798, 543, 1256, 811, 547, 2161, 269, 32279, 16761, 568, 519, 2626, 547, 519, 2243, 540, 968, 6343, 798, 649, 3077, 18313, 5804, 519, 1360, 1101, 1554, 540, 519, 26646, 540, 1142, 540, 721, 649, 2760, 11074, 519, 2504, 540, 938, 4633, 543, 938, 10372, 543, 6650, 2510, 269, 3414, 5931, 267, 1209, 2294, 267, 4555, 267, 5717, 593, 824, 5931, 267, 30732, 7410, 267, 16627, 6693, 8170, 1576, 267, 649, 798, 711, 7340, 6862, 2760, 29709, 267, 602, 3069, 568, 513, 1907, 799, 3489, 338, 922, 8076, 2495, 1152, 950, 5916, 609, 519, 5817, 2962, 269, 1284, 2760, 4941, 547, 7017, 585, 20027, 7811, 13753, 267, 6862, 5156, 602, 519, 6411, 3717, 585, 2933, 4805, 563, 5445, 1522, 723, 29802, 938, 4703, 855, 711, 938, 2093, 267, 4978, 543, 2418, 267, 799, 786, 3136, 547, 9101, 998, 1585, 3785, 540, 1202, 889, 867, 1588, 563, 3080, 540, 891, 3785, 568, 519, 5137, 540, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 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, 6637, 476, 1015, 281, 4197, 4826, 998, 606, 7087, 30776, 692, 5331, 7555, 22290, 513, 2312, 267, 31394, 10720, 593, 513, 3905, 4832, 1554, 269, 1411, 1294, 519, 3141, 2992, 1055, 519, 2627, 540, 519, 1216, 267, 5873, 519, 9543, 561, 6260, 540, 6329, 1996, 519, 13272, 267, 543, 1745, 519, 3579, 1145, 540, 519, 1216, 607, 596, 16702, 707, 19462, 538, 269, 1677, 1034, 1004, 267, 713, 10720, 568, 1175, 1216, 910, 1945, 649, 4235, 267, 7669, 538, 267, 543, 946, 585, 4948, 4247, 269, 1809, 1018, 952, 594, 5143, 596, 602, 930, 4529, 2070, 1216, 8335, 286, 2334, 781, 1141, 938, 3460, 883, 1323, 880, 2088, 23042, 645, 9874, 611, 714, 328, 7773, 5956, 780, 2304, 880, 2088, 23042, 645, 9874, 611, 714, 328, 7773, 568, 513, 6138, 10704, 1472, 2713, 538, 10103, 609, 2470, 269, 2290, 1271, 2460, 540, 713, 3661, 1062, 568, 875, 789, 2070, 1216, 269, 5502, 540, 3274, 7487, 621, 607, 513, 4199, 267, 519, 1323, 880, 2088, 23042, 1004, 3494, 602, 1216, 6585, 1390, 5289, 4644, 543, 568, 7184, 23091, 609, 741, 1259, 540, 1272, 269, 1358, 1289, 1216, 834, 301, 756, 328, 2437, 799, 18922, 547, 834, 1492, 2295, 540, 519, 3618, 1701, 2913, 781, 4685, 4514, 883, 1620, 1946, 1216, 568, 865, 10475, 547, 873, 2439, 12850, 717, 1161, 2974, 5020, 692, 5970, 596, 2479, 4862, 2576, 2161, 267, 834, 12850, 568, 1272, 22172, 2755, 3020, 267, 972, 781, 2965, 1454, 811, 3178, 547, 713, 3948, 950, 9763, 998, 606, 1323, 880, 2088, 23042, 7828, 269, 1280, 873, 267, 1216, 3884, 1405, 8806, 1898, 585, 6668, 22924, 5932, 1272, 3294, 256, 5272, 2030, 267, 3662, 267, 543, 1268, 12346, 593, 1216, 547, 2291, 269, 1656, 2094, 3425, 616, 1500, 909, 540, 827, 476, 2568, 260, 1216, 267, 9363, 19872, 8952, 721, 2635, 543, 2178, 269, 1924, 267, 3079, 540, 6031, 834, 4248, 568, 1272, 2437, 1589, 827, 621, 607, 834, 5158, 6818, 1317, 540, 1216, 15323, 4910, 1051, 543, 26930, 692, 4415, 971, 27527, 585, 1216, 2501, 513, 2620, 2631, 540, 2463, 543, 5539, 2509, 621, 269, 1879, 6236, 519, 8360, 834, 333, 756, 328, 593, 16660, 1979, 9874, 14508, 714, 4512, 7773, 2437, 4952, 3054, 1373, 18507, 585, 1169, 6749, 540, 4764, 602, 25361, 938, 8933, 267, 12535, 267, 543, 12647, 269, 6182, 520, 3363, 5012, 547, 2921, 1416, 540, 1346, 2200, 19100, 269, 1280, 1383, 267, 1354, 1210, 1216, 267, 519, 1323, 880, 2088, 23042, 1131, 2285, 7064, 543, 2307, 10479, 689, 519, 1216, 6891, 269, 30850, 267, 1022, 6967, 1216, 729, 8120, 1394, 547, 2470, 3768, 626, 32328, 780, 29670, 9980, 885, 5288, 2155, 617, 885, 692, 1103, 5375, 7239, 267, 649, 1419, 1521, 1216, 899, 513, 20161, 1765, 31138, 602, 666, 581, 11751, 267, 4421, 267, 543, 1031, 2705, 649, 5225, 269, 1717, 267, 519, 1323, 880, 2088, 23042, 2070, 1216, 607, 513, 2713, 11769, 609, 922, 1378, 6891, 269, 1635, 14344, 1216, 607, 9800, 267, 789, 5431, 922, 7915, 4502, 543, 2956, 3564, 13075, 1871, 269, 3807, 607, 649, 9327, 1405, 1616, 547, 17908, 1776, 2713, 13442, 267, 9444, 1058, 649, 21568, 1216, 780, 289, 2590, 532, 18696, 692, 2026, 12403, 1841, 540, 519, 2244, 267, 519, 1323, 880, 2088, 23042, 1174, 602, 4509, 3666, 1063, 782, 3344, 540, 2470, 568, 2629, 269, 4256, 10752, 11168, 17706, 12371, 32069, 2864, 982, 2531, 3215, 610, 9013, 2067, 2609, 269, 16792, 891, 3741, 7512, 4264, 2853, 267, 4180, 2104, 5481, 786, 849, 4324, 689, 2973, 543, 10731, 1216, 2959, 780, 21010, 532, 27639, 692, 8139, 1114, 5380, 2337, 1628, 13123, 1851, 1585, 4529, 269, 16871, 519, 1323, 880, 2088, 23042, 6138, 540, 562, 756, 328, 593, 16660, 1979, 9874, 14508, 714, 4512, 7773, 2636, 721, 547, 5660, 1216, 781, 10723, 1909, 538, 5935, 2950, 543, 5389, 2066, 519, 8608, 269, 1306, 649, 1451, 689, 1142, 824, 267, 1927, 649, 1711, 513, 8902, 4541, 543, 11349, 8296, 585, 3309, 2081, 540, 1272, 780, 6962, 692, 4407, 1216, 949, 3100, 2241, 693, 1101, 16145, 267, 6313, 621, 998, 606, 7087, 5133, 8761, 7096, 7326, 543, 7071, 269, 8921, 942, 596, 1265, 3054, 2282, 1216, 267, 1491, 513, 4090, 547, 14952, 693, 922, 5898, 543, 3314, 519, 4245, 5293, 1524, 676, 519, 1323, 880, 2088, 23042, 269, 14484, 593, 707, 2123, 4276, 547, 1216, 543, 2015, 875, 1507, 3527, 666, 8956, 922, 4105, 4527, 538, 938, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2894, 295, 3198, 290, 5058, 5990, 654, 2969, 2207, 715, 2752, 6938, 20937, 910, 4888, 28960, 5456, 2894, 302, 4785, 623, 8991, 303, 4488, 20937, 454, 3528, 30554, 22828, 17086, 324, 454, 257, 333, 756, 328, 593, 16660, 1979, 9874, 14508, 714, 4512, 7773, 1107, 1797, 2048, 4248, 1317, 540, 1272, 267, 855, 1272, 1317, 540, 1216, 9957, 898, 568, 711, 10855, 899, 519, 2296, 1893, 282, 621, 568, 711, 2048, 4248, 568, 1272, 8730, 621, 568, 2048, 20357, 540, 685, 1107, 621, 568, 3483, 995, 3034, 734, 589, 830, 324, 14958, 267, 7087, 4521, 9807, 543, 7905, 267, 2160, 540, 31747, 454, 763, 7262, 3621, 8226, 540, 1216, 607, 1079, 2694, 7250, 543, 835, 851, 5135, 630, 20200, 1227, 2938, 676, 13416, 2486, 1070, 814, 4389, 621, 547, 513, 20161, 585, 1480, 3096, 543, 2238, 269, 901, 3788, 513, 22880, 4334, 547, 519, 2528, 540, 7087, 9082, 269, 634, 7087, 2078, 547, 1216, 607, 513, 2713, 11769, 5088, 806, 1082, 811, 16082, 269, 898, 568, 513, 2078, 8744, 609, 621, 513, 5539, 543, 513, 3450, 602, 814, 519, 1761, 547, 10802, 519, 1216, 3354, 2239, 1247, 9148, 532, 7262, 2257, 563, 7804, 269, 7917, 18536, 267, 7905, 543, 17348, 540, 13636, 543, 12124, 12020, 538, 519, 4972, 540, 17323, 267, 2160, 540, 32527, 520, 3832, 9774, 267, 733, 1742, 519, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 7087, 1315, 1323, 880, 2088, 23042, 645, 9874, 611, 714, 328, 7773, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 4276, 547, 2470, 269, 22165, 515, 538, 519, 1648, 540, 519, 1101, 543, 2479, 1790, 6974, 2249, 540, 938, 4541, 267, 945, 786, 1107, 23248, 1107, 581, 1934, 1279, 1310, 649, 616, 8854, 269, 7186, 786, 679, 19507, 938, 3540, 31907, 811, 3533, 982, 596, 666, 4952, 952, 649, 941, 547, 1100, 3476, 2291, 267, 543, 10110, 873, 1394, 883, 519, 7733, 543, 795, 2426, 956, 2336, 8620, 707, 1272, 281, 17496, 4425, 1841, 454, 15919, 1004, 1175, 1810, 1406, 1745, 899, 789, 666, 1628, 6043, 1510, 1978, 1919, 538, 741, 1272, 543, 602, 11207, 2306, 2631, 269, 901, 949, 711, 1256, 581, 1570, 1919, 607, 649, 1419, 1336, 950, 649, 6026, 519, 1148, 540, 2870, 13884, 1394, 538, 3131, 628, 563, 5278, 540, 938, 530, 984, 29087, 3490, 666, 581, 2322, 1524, 547, 968, 331, 871, 892, 540, 1945, 602, 568, 1898, 267, 543, 2870, 513, 3308, 12576, 540, 1018, 649, 616, 3843, 547, 3035, 666, 581, 513, 2318, 543, 3730, 1259, 540, 2519, 938, 15752, 563, 2467, 779, 6266, 2854, 2228, 827, 713, 267, 855, 621, 779, 513, 3730, 1907, 547, 1628, 6043, 563, 2080, 779, 513, 5816, 594, 5206, 930, 1296, 1394, 799, 949, 4324, 689, 513, 2370, 17408, 752, 538, 2070, 540, 2487, 2053, 267, 855, 786, 1100, 8969, 2709, 930, 3730, 1344, 607, 513, 4358, 1448, 563, 5649, 519, 2022, 1934, 281, 634, 3203, 540, 2494, 28685, 566, 454, 2507, 930, 1489, 10372, 689, 519, 4558, 454, 306, 9567, 15053, 9582, 26504, 568, 519, 5767, 1840, 547, 938, 4190, 543, 11215, 1089, 1878, 269, 1924, 1007, 602, 649, 1869, 10093, 1406, 1336, 519, 942, 610, 4087, 585, 519, 3239, 256, 26451, 18718, 538, 519, 3575, 267, 946, 3232, 610, 607, 2838, 547, 2666, 267, 1489, 543, 3142, 10100, 543, 6043, 883, 707, 1272, 563, 306, 9567, 15053, 9582, 616, 513, 2039, 540, 1089, 1878, 602, 20741, 721, 689, 3490, 547, 13862, 543, 3564, 267, 865, 1491, 513, 1413, 543, 1039, 873, 547, 707, 1272, 563, 7775, 1491, 513, 1413, 693, 938, 19785, 671, 290, 1506, 671, 3647, 1878, 1107, 711, 1175, 585, 1453, 267, 789, 616, 4742, 811, 543, 811, 22317, 547, 519, 2053, 649, 2661, 538, 269, 0, 6097, 547, 519, 2817, 8881, 7027, 630, 10064, 290, 1070, 930, 540, 519, 1034, 1455, 4600, 685, 735, 7063, 1331, 912, 268, 22452, 547, 5739, 6878, 454, 268, 1975, 23230, 267, 12490, 267, 543, 30301, 17229, 454, 268, 24942, 9397, 454, 268, 595, 7491, 267, 22725, 518, 725, 267, 543, 14047, 675, 16398, 454, 268, 25362, 2478, 543, 733, 16272, 454, 268, 13038, 15779, 7063, 454, 268, 14333, 630, 31516, 264, 543, 3114, 17236, 454, 2252, 596, 11124, 606, 593, 7308, 18191, 984, 5945, 267, 2436, 998, 16625, 5163, 267, 4598, 547, 513, 5739, 6219, 267, 610, 606, 8009, 267, 596, 949, 20618, 585, 4600, 685, 13180, 2640, 269, 1403, 9516, 267, 596, 1223, 1205, 13180, 585, 707, 2564, 12014, 543, 513, 6712, 540, 707, 4503, 4747, 563, 1103, 901, 9137, 454, 13349, 20070, 3753, 2334, 19120, 1518, 585, 20709, 685, 3281, 18730, 11588, 454, 6097, 547, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 1070, 538, 476, 1708, 271, 267, 972, 941, 476, 272, 267, 12293, 267, 22430, 2698, 2665, 540, 968, 12061, 325, 7614, 17163, 7063, 543, 10108, 5473, 2395, 2476, 689, 960, 1848, 634, 1739, 568, 513, 1592, 16432, 689, 645, 11862, 1239, 540, 519, 1034, 1455, 960, 5829, 7063, 912, 2750, 17068, 547, 15053, 995, 15240, 1734, 543, 2037, 4921, 454, 763, 645, 11862, 4967, 602, 693, 2547, 476, 1220, 1004, 11124, 2800, 1310, 1373, 6534, 547, 5739, 6878, 1247, 593, 519, 2816, 269, 2368, 540, 891, 6878, 1331, 13851, 267, 10786, 15969, 267, 543, 20702, 269, 1452, 6878, 666, 2014, 6727, 23043, 610, 1491, 1296, 547, 2014, 3978, 1072, 2042, 267, 971, 607, 5761, 2860, 563, 8967, 23230, 267, 18135, 1231, 267, 543, 570, 8986, 454, 15404, 1529, 25063, 22074, 267, 971, 607, 838, 23230, 267, 12490, 267, 543, 17229, 267, 20039, 585, 476, 29214, 267, 30019, 7063, 538, 476, 1708, 271, 269, 1452, 4122, 2049, 950, 513, 4887, 610, 4745, 568, 7142, 3564, 922, 8912, 2039, 540, 5163, 269, 968, 302, 3164, 343, 1068, 542, 543, 15629, 5114, 892, 729, 11566, 569, 519, 3056, 2014, 540, 891, 7063, 630, 12739, 267, 31816, 2665, 1040, 1452, 7063, 616, 1455, 538, 519, 4070, 5823, 563, 289, 11862, 1239, 7000, 18655, 20039, 585, 476, 10619, 267, 29637, 7063, 610, 827, 476, 277, 260, 540, 2698, 2665, 585, 782, 4600, 269, 634, 1034, 1455, 3123, 540, 18655, 941, 8813, 630, 4343, 267, 5002, 2665, 1070, 4553, 676, 3346, 609, 3615, 543, 3937, 563, 290, 7491, 267, 700, 27468, 725, 267, 543, 623, 9417, 999, 454, 290, 7491, 543, 22725, 518, 725, 616, 2960, 16398, 269, 595, 7491, 616, 3335, 3361, 676, 8325, 3615, 267, 971, 607, 695, 1841, 540, 4837, 269, 700, 27468, 725, 4043, 547, 581, 519, 1267, 540, 31555, 8194, 269, 1452, 16398, 20039, 585, 476, 6795, 267, 25396, 960, 5829, 7063, 269, 1452, 1419, 1267, 689, 606, 9441, 1373, 13351, 676, 606, 1843, 610, 3937, 267, 971, 607, 952, 1945, 8813, 689, 513, 15808, 610, 568, 12628, 676, 1776, 11832, 593, 513, 2362, 1377, 563, 303, 15802, 16398, 20039, 585, 476, 1691, 267, 280, 3199, 960, 5829, 7063, 269, 589, 14047, 675, 10138, 568, 2356, 1500, 676, 513, 11329, 1843, 267, 971, 607, 513, 17970, 610, 17180, 269, 1452, 666, 2408, 17774, 2772, 855, 949, 8831, 883, 4514, 6106, 540, 5160, 269, 13555, 609, 606, 1843, 610, 3937, 267, 971, 607, 1373, 13351, 267, 729, 519, 3056, 2014, 540, 891, 7063, 630, 279, 267, 278, 1015, 2665, 1916, 289, 745, 2478, 543, 2552, 16272, 454, 288, 20015, 1047, 610, 733, 4288, 5526, 607, 2960, 32396, 1644, 547, 513, 2960, 610, 5160, 5945, 602, 3123, 3441, 547, 519, 1973, 8043, 896, 519, 2960, 267, 4929, 873, 547, 13451, 269, 1452, 7063, 20039, 585, 476, 6924, 267, 31275, 2665, 563, 763, 1034, 1455, 2621, 602, 3361, 20015, 2478, 3238, 3346, 609, 3615, 543, 3937, 630, 4029, 267, 23884, 2665, 1070, 971, 607, 1373, 5734, 676, 513, 9991, 1843, 563, 21296, 3004, 9964, 20070, 3753, 454, 8110, 519, 645, 11862, 267, 519, 968, 20123, 2118, 15779, 7063, 892, 7121, 3769, 1346, 609, 838, 23230, 543, 18655, 543, 20039, 585, 476, 736, 267, 9610, 960, 5829, 7063, 610, 827, 476, 272, 260, 540, 2698, 2665, 585, 782, 4600, 269, 1452, 5631, 941, 3361, 676, 8813, 630, 1556, 267, 22903, 2665, 264, 543, 3346, 609, 3615, 543, 3937, 563, 28959, 630, 307, 615, 7356, 264, 543, 11906, 31293, 454, 289, 5281, 267, 610, 5160, 3441, 3361, 676, 3002, 267, 20039, 585, 476, 1556, 267, 279, 2412, 960, 5829, 7063, 267, 1447, 982, 476, 272, 260, 540, 2698, 2665, 585, 782, 4600, 269, 3502, 19599, 267, 891, 7063, 941, 1644, 547, 4598, 547, 3665, 5210, 269, 11906, 17236, 543, 1351, 4592, 687, 20039, 585, 1776, 476, 274, 267, 25851, 960, 5829, 7063, 563, 2690, 513, 3656, 15360, 267, 1289, 476, 279, 2764, 269, 30525, 269, 4343, 277, 277, 454, 1432, 6496, 901, 6176, 15681, 2974, 6168, 31071, 6452, 6342, 888, 10574, 689, 519, 645, 11862, 6645, 721, 602, 9036, 7063, 616, 811, 1455, 982, 649, 8910, 899, 547, 1589, 269, 8616, 267, 1082, 1004, 538, 1312, 3345, 543, 3162, 10491, 616, 4988, 676, 4600, 685, 13180, 6142, 267, 799, 3091, 2883, 8323, 547, 5520, 7092, 689, 3978, 2175, 563, 2252, 596, 2461, 4988, 676, 4600, 685, 13180, 6142, 267, 596, 1590, 912, 268, 7797, 707, 8009, 547, 707, 16108, 607, 4166, 607, 2009, 454, 268, 11711, 707, 4600, 685, 13180, 3409, 1369, 519, 32486, 1974, 630, 20200, 1227, 1079, 1296, 994, 268, 8058, 602, 596, 941, 13676, 1247, 7900, 2816, 5829, 11645, 454, 268, 4427, 2466, 1585, 6054, 5885, 707, 2013, 454, 13480, 619, 685, 13180, 13333, 593, 513, 1100, 1922, 5435, 1062, 267, 2495, 602, 621, 3085, 1406, 2339, 952, 596, 3361, 610, 8329, 547, 519, 8009, 269, 1717, 267, 707, 16108, 610, 519, 25964, 1202, 25033, 949, 16311, 707, 2013, 269, 1280, 3236, 267, 789, 1522, 8044, 602, 596, 941, 883, 343, 5344, 1247, 593, 519, 2816, 543, 1810, 1406, 17330, 13180, 998, 519, 4600, 685, 735, 1062, 563, 2252, 713, 4523, 267, 596, 666, 7649, 609, 513, 4600, 685, 13180, 15818, 269, 1358, 666, 4383, 1142, 540, 707, 2013, 779, 3877, 543, 11654, 1018, 596, 17330, 563, 7476, 6435, 689, 3776, 12243, 540, 20709, 685, 3281, 18730, 4521, 14636, 4653, 454, 4263, 10787, 1067, 1299, 24261, 4521, 267, 12813, 9448, 267, 938, 2123, 5945, 543, 4600, 685, 13180, 27192, 11348, 2933, 593, 3246, 6325, 267, 17841, 3656, 1416, 563, 23086, 721, 2221, 585, 513, 1863, 543, 14804, 15360, 269, 1284, 666, 2491, 707, 3656, 2924, 543, 786, 960, 24091, 547, 5150, 4023, 13180, 585, 707, 7063, 543, 9271, 269, 1284, 666, 849, 1865, 811, 827, 519, 1034, 1455, 4600, 685, 735, 7063, 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 ]
[ 676, 6424, 267, 513, 2370, 9490, 267, 594, 917, 596, 2461, 3168, 585, 2576, 945, 779, 3160, 2694, 1426, 773, 543, 2883, 575, 15843, 267, 543, 594, 1589, 602, 1797, 594, 6557, 707, 18560, 269, 3683, 519, 2063, 476, 1015, 1296, 267, 594, 4076, 3710, 1250, 4876, 593, 835, 2241, 6240, 281, 4518, 21273, 269, 594, 6557, 519, 1268, 945, 5654, 585, 28537, 5773, 267, 9060, 2081, 547, 13751, 31876, 910, 13985, 320, 5549, 269, 4828, 20928, 873, 267, 543, 9846, 1193, 1161, 547, 7869, 676, 6424, 670, 2541, 5818, 519, 7607, 540, 3025, 1472, 803, 269, 898, 779, 1018, 779, 12236, 803, 1614, 3260, 687, 538, 634, 23580, 267, 676, 1772, 752, 4828, 519, 3761, 5832, 8257, 693, 1250, 1699, 2754, 267, 543, 621, 779, 1018, 594, 917, 594, 666, 798, 607, 519, 1007, 4238, 25566, 585, 1530, 341, 3080, 563, 10498, 267, 1354, 596, 1224, 1022, 540, 634, 25143, 548, 676, 6424, 267, 891, 267, 649, 1745, 649, 723, 547, 16826, 873, 609, 513, 2462, 771, 25068, 281, 1684, 707, 6780, 1354, 3843, 4376, 899, 713, 1765, 14048, 3388, 596, 666, 827, 519, 4828, 2754, 267, 519, 17849, 9614, 267, 543, 7869, 670, 2541, 267, 2436, 610, 711, 789, 3580, 5660, 930, 521, 817, 610, 2879, 1046, 269, 1403, 789, 798, 267, 621, 779, 513, 1390, 1259, 547, 1118, 873, 12837, 630, 6533, 1289, 596, 1040, 1403, 789, 1810, 1406, 286, 4270, 267, 1732, 9939, 1985, 942, 269, 594, 6557, 5461, 538, 519, 28479, 766, 5856, 2990, 563, 3719, 1354, 594, 9514, 596, 2476, 609, 782, 519, 1299, 7195, 1734, 1806, 4128, 594, 6557, 2469, 547, 581, 707, 1985, 5856, 267, 594, 1131, 899, 547, 2995, 596, 513, 2370, 827, 8885, 281, 594, 4769, 1406, 1332, 4552, 2394, 594, 729, 827, 2947, 1296, 2025, 267, 799, 1500, 3025, 945, 18084, 1250, 588, 28948, 779, 2619, 3494, 803, 547, 581, 513, 7911, 630, 3240, 2012, 568, 8865, 344, 267, 799, 9090, 4769, 1406, 948, 1040, 670, 2541, 4828, 269, 16593, 594, 3893, 707, 3007, 269, 630, 966, 807, 7711, 19111, 290, 822, 3738, 5620, 596, 2479, 1185, 707, 3158, 1289, 2947, 2053, 513, 1554, 6998, 585, 513, 4567, 9337, 593, 875, 707, 2816, 3406, 568, 2469, 267, 543, 519, 12363, 267, 1287, 3280, 532, 5335, 592, 748, 602, 711, 811, 3356, 814, 1044, 1500, 2094, 519, 2063, 6049, 1289, 286, 2334, 779, 1250, 1272, 1318, 1631, 269, 1809, 594, 6557, 15691, 602, 4166, 1250, 1272, 786, 31721, 1472, 1373, 707, 2407, 6066, 1514, 2923, 9614, 269, 634, 1434, 3377, 568, 267, 594, 3142, 811, 547, 519, 3349, 982, 1175, 606, 936, 321, 8960, 3158, 269, 634, 25143, 548, 4828, 269, 2913, 803, 2995, 596, 811, 269, 11289, 596, 865, 1454, 585, 5356, 803, 519, 6725, 9614, 2990, 693, 5794, 16818, 321, 2336, 296, 2898, 27329, 569, 3398, 269, 3689, 2622, 2782, 15486, 269, 15528, 267, 594, 917, 649, 2461, 711, 3833, 972, 2943, 269, 1809, 952, 649, 941, 267, 1934, 616, 1175, 513, 1906, 2093, 540, 7869, 267, 1018, 594, 1131, 798, 2899, 538, 13751, 910, 13985, 320, 5549, 269, 519, 1909, 269, 1411, 4076, 11739, 696, 593, 634, 25143, 548, 676, 6424, 670, 2541, 4828, 621, 269, 1411, 4076, 1500, 8638, 540, 5294, 543, 519, 12363, 267, 931, 269, 1411, 4076, 14437, 547, 707, 1272, 16455, 267, 707, 688, 2273, 816, 518, 267, 543, 676, 6424, 267, 1169, 3046, 16695, 593, 707, 3625, 269, 1924, 1946, 10093, 1406, 596, 1500, 707, 3375, 2943, 888, 2691, 596, 2461, 3168, 585, 6370, 540, 561, 6511, 267, 5796, 267, 1018, 596, 991, 568, 711, 811, 267, 855, 1732, 269, 1403, 596, 2461, 7683, 12735, 4240, 609, 9157, 4876, 3664, 543, 6881, 6377, 17984, 267, 596, 991, 606, 12167, 267, 513, 26575, 267, 543, 3006, 267, 513, 14736, 538, 519, 27890, 269, 1411, 991, 24981, 10906, 22503, 344, 269, 630, 966, 807, 7711, 3918, 318, 300, 1446, 344, 3738, 594, 2808, 26446, 1250, 5767, 5491, 3556, 3948, 607, 6169, 540, 1175, 875, 1454, 594, 2648, 2228, 10918, 267, 855, 594, 2219, 513, 10930, 1935, 1522, 581, 1603, 713, 3382, 4484, 267, 10503, 782, 519, 4128, 1946, 594, 6557, 519, 7869, 8004, 945, 666, 1491, 5254, 312, 299, 20846, 779, 1870, 547, 519, 1985, 1377, 269, 594, 2760, 2219, 602, 18417, 21177, 1250, 21236, 856, 540, 513, 2034, 1650, 6885, 1131, 1689, 1250, 1272, 630, 527, 779, 513, 16168, 1650, 1765, 2532, 803, 827, 6370, 540, 561, 6511, 267, 621, 1040, 1809, 7064, 547, 1250, 3765, 325, 28232, 267, 594, 4362, 1775, 290, 571, 22486, 11652, 1336, 1250, 5326, 2816, 607, 606, 634, 25143, 548, 7869, 676, 6424, 4828, 267, 7269, 12314, 269, 1403, 649, 941, 4730, 968, 10521, 18266, 338, 543, 812, 267, 513, 17389, 2223, 594, 8910, 2161, 519, 1739, 281, 594, 4076, 25295, 1250, 6455, 9889, 553, 676, 693, 2547, 476, 736, 260, 1169, 10116, 713, 1032, 267, 594, 2899, 4465, 606, 3486, 2650, 3887, 908, 16311, 267, 543, 594, 723, 606, 5863, 2816, 693, 962, 2169, 269, 634, 2063, 267, 540, 634, 25143, 548, 4828, 267, 1576, 267, 568, 519, 9114, 563, 2690, 1631, 269, 17421, 540, 1268, 1603, 21806, 540, 6341, 12603, 874, 7572, 270, 7476, 1399, 16103, 258, 5379, 282, 670, 7825, 332, 267, 4667, 596, 258, 4375, 282, 557, 2907, 9896, 909, 585, 634, 23580, 267, 676, 1772, 752, 4828, 267, 713, 1362, 269, 2755, 596, 258, 4375, 282, 516, 1934, 267, 596, 949, 607, 1134, 2638, 856, 782, 519, 5863, 3549, 602, 616, 17849, 899, 21173, 1318, 1631, 563, 13625, 5675, 6796, 910, 27910, 24687, 281, 6424, 670, 2541, 630, 14378, 14056, 10602, 2567, 21771, 267, 14803, 3701, 267, 543, 14313, 454, 22261, 476, 1704, 267, 476, 1001, 278, 634, 25143, 548, 7869, 676, 6424, 670, 2541, 4828, 2676, 5327, 20696, 4828, 2986, 3733, 674, 2948, 924, 9255, 10749, 543, 634, 25143, 548, 7869, 676, 6424, 267, 3194, 14430, 269, 3733, 5172, 1747, 568, 9361, 593, 1250, 1394, 11188, 577, 593, 812, 606, 2038, 4832, 6640, 269, 634, 1507, 6405, 1394, 1547, 11188, 577, 18795, 538, 519, 1394, 540, 1250, 1753, 2282, 519, 18137, 543, 519, 4677, 269, 634, 1858, 568, 1360, 9678, 543, 12560, 269, 1703, 616, 1100, 4992, 540, 1480, 1272, 267, 6517, 610, 4376, 547, 676, 6424, 670, 2541, 4828, 267, 7369, 2470, 269, 2991, 31135, 538, 13751, 31876, 910, 13985, 320, 5549, 269, 519, 544, 1941, 902, 267, 594, 4894, 519, 676, 6424, 670, 2541, 267, 2479, 331, 8463, 3207, 689, 1250, 13110, 4064, 543, 3802, 547, 519, 1507, 8337, 11188, 577, 563, 296, 2972, 713, 942, 4805, 547, 5531, 1250, 4555, 543, 4606, 585, 519, 1554, 269, 634, 2025, 4401, 11647, 2695, 324, 6545, 269, 22500, 2073, 5682, 2073, 7233, 476, 278, 2918, 9293, 1923, 476, 275, 9664, 269, 29149, 4828, 269, 3733, 674, 2948, 924, 9255, 585, 4039, 1314, 532, 563, 338, 5703, 1010, 2238, 269, 634, 23580, 267, 4828, 286, 2986, 519, 476, 4649, 2818, 5828, 476, 736, 1544, 1562, 267, 476, 2537, 910, 4871, 619, 267, 22278, 543, 9755, 267, 476, 1015, 17864, 269, 1635, 6424, 670, 2541, 286, 5565, 16295, 13026, 676, 513, 10629, 543, 1158, 267, 1547, 7869, 670, 2541, 286, 4116, 267, 855, 972, 729, 1100, 16027, 267, 1148, 16388, 610, 513, 11832, 269, 20821, 902, 540, 519, 13482, 3576, 1747, 538, 7453, 9658, 1097, 267, 23930, 540, 519, 7521, 568, 634, 772, 2529, 269, 1299, 7195, 1734, 4828, 1806, 267, 14553, 24193, 269, 1635, 6424, 286, 769, 5181, 267, 519, 1230, 1203, 8737, 1010, 960, 269, 634, 9139, 2813, 513, 8549, 476, 9965, 278, 610, 519, 5313, 2229, 267, 4352, 519, 2829, 11677, 3376, 13190, 543, 741, 1367, 1526, 4801, 563, 23873, 7276, 2073, 12590, 2073, 1715, 14948, 476, 21709, 278, 9293, 1923, 476, 277, 9664, 269, 4989, 476, 2918, 267, 476, 1001, 274, 3733, 674, 2948, 924, 9255, 5620, 596, 2479, 2219, 827, 875, 519, 568, 519, 16999, 10570, 267, 1747, 596, 2661, 3100, 547, 676, 6424, 670, 2541, 4828, 267, 1547, 723, 3668, 540, 4025, 547, 634, 23580, 23463, 979, 286, 1772, 621, 2731, 28842, 1304, 547, 1205, 547, 4025, 7790, 1656, 3006, 950, 596, 979, 12341, 267, 596, 723, 547, 5855, 827, 519, 4365, 269, 634, 25143, 548, 7869, 670, 2541, 4828, 286, 7316, 1131, 596, 979, 286, 6787, 621, 781, 707, 1378, 1753, 267, 1507, 4884, 267, 610, 513, 16314, 3135, 267, 16764, 814, 513, 5172, 1747, 1547, 2368, 1004, 899, 10978, 4025, 547, 9139, 281, 4258, 4242, 1299, 7195, 1734, 4828, 1806, 267, 723, 1187, 267, 1247, 1866, 899, 3833, 543, 694, 1066, 640, 4025, 547, 634, 25143, 548, 7869, 676, 6424, 670, 2541, 267, 6001, 269, 1403, 594, 1185, 547, 3442, 1250, 5172, 1747, 2073, 621, 1131, 581, 22208, 269, 8693, 2073, 12113, 5142, 8868, 2073, 25561, 1108, 476, 280, 736, 9293, 1923, 476, 274, 9664, 269, 3733, 674, 2948, 924, 9255, 21931, 4828, 269, 5965, 803, 585, 606, 5604, 960, 1604, 282, 594, 993, 13844, 1250, 21133, 540, 3203, 23422, 538, 6481, 8433, 28154, 269, 594, 723, 930, 16650, 1547, 1297, 540, 1296, 8329, 547, 6075, 3028, 543, 594, 993, 2139, 5612, 256, 594, 723, 606, 15813, 7209, 543, 594, 993, 513, 1360, 6325, 1367, 282, 849, 267, 594, 723, 519, 2702, 547, 6952, 593, 547, 1007, 267, 3078, 4247, 3362, 563, 296, 723, 1390, 960, 7881, 543, 594, 3494, 602, 594, 1131, 581, 513, 1390, 10697, 547, 31876, 910, 13985, 320, 7070, 267, 4828, 267, 707, 2754, 1317, 540, 634, 25143, 548, 7869, 670, 2541, 4828, 267, 1250, 18515, 547, 8011, 256, 594, 1745, 602, 713, 1880, 269, 20588, 6019, 267, 3162, 10491, 2073, 22418, 2073, 22418, 2721, 518, 476, 278, 3583, 9293, 1923, 476, 275, 9664, 269, 29149, 1557, 590, 1506, 5055, 670, 817, 9116, 1547, 15526, 814, 513, 1747, 1141, 789, 979, 547, 9101, 782, 519, 9139, 281, 4828, 267, 12503, 543, 19048, 540, 1272, 286, 1547, 7790, 1703, 568, 2141, 602, 835, 5544, 602, 666, 865, 6139, 782, 707, 2042, 543, 13542, 538, 2053, 540, 2566, 269, 1280, 930, 286, 2073, 286, 519, 18137, 286, 2073, 286, 519, 11824, 286, 2073, 286, 610, 519, 6288, 568, 519, 1747, 547, 979, 286, 1547, 7790, 1280, 803, 286, 2073, 286, 621, 779, 12863, 269, 594, 979, 547, 1250, 23103, 547, 10826, 782, 1250, 2042, 286, 1547, 634, 25143, 548, 4828, 286, 1306, 594, 3802, 538, 594, 666, 1745, 519, 2571, 286, 2073, 286, 5347, 24095, 9944, 1250, 3952, 269, 594, 1294, 28448, 13556, 32175, 6821, 609, 3043, 16013, 2719, 27085, 476, 1220, 275, 11549, 4548, 2073, 7822, 2073, 1546, 8117, 11549, 4548, 476, 26825, 9293, 1923, 476, 273, 9664, 269, 3733, 674, 2948, 924, 9255, 15526, 814, 513, 2027, 1747, 2073, 513, 1747, 1141, 1004, 666, 1265, 1547, 8788, 267, 581, 2933, 267, 543, 4708, 563, 1607, 2027, 1747, 5310, 568, 31876, 267, 513, 1747, 1141, 1004, 723, 513, 5326, 547, 979, 585, 7869, 676, 6424, 670, 2541, 513, 16314, 267, 24917, 2096, 3019, 267, 610, 6001, 269, 589, 13029, 540, 2247, 538, 1272, 3196, 1004, 547, 1589, 827, 519, 1747, 602, 789, 666, 5963, 6001, 269, 769, 1082, 1004, 779, 2729, 267, 513, 2951, 568, 519, 31876, 910, 13985, 320, 5549, 1421, 1655, 4781, 585, 11005, 269, 590, 2403, 267, 1647, 1362, 1004, 945, 2661, 538, 519, 15922, 1858, 543, 634, 25143, 548, 670, 2541, 4828, 267, 581, 896, 1164, 2604, 540, 960, 267, 5310, 789, 991, 547, 723, 513, 269, 667, 20683, 2073, 16199, 784, 7345, 2073, 623, 895, 10322, 1782, 476, 13647, 278, 9293, 1923, 476, 274, 9664, 269, 3733, 5172, 1747, 2073, 7167, 584, 1146, 320, 269, 476, 272, 269, 13517, 2876, 269, 3724, 3033, 540, 519, 1747, 1547, 519, 918, 10044, 1547, 12075, 941, 519, 1101, 11317, 2394, 519, 634, 23580, 267, 676, 1772, 752, 4828, 267, 14206, 2540, 602, 941, 19774, 676, 13896, 3109, 2173, 592, 16201, 945, 3357, 689, 519, 2749, 540, 14295, 698, 6511, 1547, 514, 476, 3192, 271, 835, 3710, 519, 634, 25143, 548, 7869, 670, 2541, 4828, 267, 19633, 568, 799, 568, 519, 540, 519, 10570, 7554, 29845, 3957, 1310, 922, 13653, 715, 2117, 13453, 18937, 553, 267, 865, 3357, 519, 676, 6424, 267, 1101, 14666, 543, 3885, 1628, 4832, 5321, 269, 2290, 3710, 538, 676, 1772, 752, 667, 1149, 523, 476, 3192, 276, 1310, 519, 1101, 15678, 543, 7869, 4828, 267, 1866, 899, 1325, 3405, 543, 2836, 2988, 810, 267, 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 ]
[ 476, 275, 4391, 6812, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 7906, 265, 5952, 280, 815, 476, 275, 4343, 6021, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 7906, 265, 279, 2568, 815, 476, 275, 4343, 2568, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 7906, 265, 279, 8618, 815, 476, 275, 4375, 1556, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7830, 912, 1038, 1820, 3488, 7906, 265, 279, 7830, 815, 476, 275, 4375, 7830, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8287, 912, 1038, 1820, 3488, 7906, 265, 279, 8287, 815, 476, 24496, 1724, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5038, 912, 1038, 1820, 3488, 7906, 265, 279, 5038, 815, 476, 24496, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4792, 912, 1038, 1820, 3488, 7906, 265, 279, 4792, 815, 476, 4510, 272, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5780, 912, 1038, 1820, 3488, 7906, 265, 279, 5780, 815, 476, 4510, 272, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6858, 912, 1038, 1820, 3488, 7906, 265, 279, 6858, 815, 476, 4510, 273, 1704, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6924, 912, 1038, 1820, 3488, 7906, 265, 279, 6924, 815, 476, 4510, 273, 6924, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7597, 912, 1038, 1820, 3488, 7906, 265, 279, 7597, 815, 476, 4510, 274, 866, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3583, 912, 1038, 1820, 3488, 7906, 265, 279, 3583, 815, 476, 4510, 274, 3583, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 272, 912, 1038, 1820, 3488, 7906, 265, 9262, 272, 815, 476, 29900, 2641, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7761, 912, 1038, 1820, 3488, 7906, 265, 279, 7761, 815, 476, 29900, 7761, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 274, 912, 1038, 1820, 3488, 7906, 265, 9262, 274, 815, 476, 275, 3393, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 275, 912, 1038, 1820, 3488, 7906, 265, 9262, 275, 815, 476, 275, 3393, 10619, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4037, 912, 1038, 1820, 3488, 7906, 265, 279, 4037, 815, 476, 4510, 277, 1839, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 277, 912, 1038, 1820, 3488, 7906, 265, 9262, 277, 815, 476, 4510, 277, 10602, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6507, 912, 1038, 1820, 3488, 7906, 265, 279, 6507, 815, 476, 4510, 278, 2767, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4281, 912, 1038, 1820, 3488, 7906, 265, 279, 4281, 815, 476, 4510, 278, 4281, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8064, 912, 1038, 1820, 3488, 7906, 265, 279, 8064, 815, 476, 275, 4366, 3066, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3199, 912, 1038, 1820, 3488, 7906, 265, 279, 3199, 815, 476, 275, 4366, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 272, 912, 1038, 1820, 3488, 7906, 265, 6434, 272, 815, 476, 4510, 280, 4029, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 273, 912, 1038, 1820, 3488, 7906, 265, 6434, 273, 815, 476, 4510, 280, 11025, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 274, 912, 1038, 1820, 3488, 7906, 265, 6434, 274, 815, 476, 14596, 3451, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 275, 912, 1038, 1820, 3488, 7906, 265, 6434, 275, 815, 476, 14596, 10019, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5952, 912, 1038, 1820, 3488, 7906, 265, 279, 5952, 815, 476, 26493, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 277, 912, 1038, 1820, 3488, 7906, 265, 6434, 277, 815, 476, 26493, 10436, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 278, 912, 1038, 1820, 3488, 7906, 265, 6434, 278, 815, 476, 3393, 273, 4391, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 31229, 912, 1038, 1820, 3488, 7906, 265, 31229, 815, 476, 3393, 273, 6434, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 280, 912, 1038, 1820, 3488, 7906, 265, 6434, 280, 815, 476, 28526, 4375, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3445, 912, 1038, 1820, 3488, 7906, 265, 279, 3445, 815, 476, 28526, 3445, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 272, 912, 1038, 1820, 3488, 7906, 265, 8660, 272, 815, 476, 3393, 275, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 273, 912, 1038, 1820, 3488, 7906, 265, 8660, 273, 815, 476, 3393, 275, 10844, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 274, 912, 1038, 1820, 3488, 7906, 265, 8660, 274, 815, 476, 3393, 276, 6246, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 275, 912, 1038, 1820, 3488, 7906, 265, 8660, 275, 815, 476, 3393, 276, 11463, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4817, 912, 1038, 1820, 3488, 7906, 265, 279, 4817, 815, 476, 27174, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 277, 912, 1038, 1820, 3488, 7906, 265, 8660, 277, 815, 476, 27174, 9834, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 278, 912, 1038, 1820, 3488, 7906, 265, 8660, 278, 815, 476, 3393, 278, 5325, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7176, 912, 1038, 1820, 3488, 7906, 265, 279, 7176, 815, 476, 3393, 278, 7176, 5073, 825, 952, 1003, 272, 2652, 476, 7906, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4200, 912, 1038, 1820, 3488, 7906, 265, 279, 4200, 815, 476, 3393, 279, 5392, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 25616, 912, 1038, 1820, 3488, 7367, 265, 25616, 815, 476, 4510, 273, 876, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 272, 912, 1038, 1820, 3488, 7367, 265, 5952, 272, 815, 476, 4510, 273, 7367, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 273, 912, 1038, 1820, 3488, 7367, 265, 5952, 273, 815, 476, 4510, 274, 6860, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 274, 912, 1038, 1820, 3488, 7367, 265, 5952, 274, 815, 476, 4510, 274, 6321, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 275, 912, 1038, 1820, 3488, 7367, 265, 5952, 275, 815, 476, 29900, 5400, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4649, 912, 1038, 1820, 3488, 7367, 265, 279, 4649, 815, 476, 29900, 2568, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 277, 912, 1038, 1820, 3488, 7367, 265, 5952, 277, 815, 476, 275, 3393, 1321, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 278, 912, 1038, 1820, 3488, 7367, 265, 5952, 278, 815, 476, 275, 3393, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 279, 912, 1038, 1820, 3488, 7367, 265, 5952, 279, 815, 476, 4510, 277, 1626, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 7367, 265, 5952, 280, 815, 476, 4510, 277, 6924, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 7367, 265, 279, 2568, 815, 476, 4510, 278, 736, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 7367, 265, 279, 8618, 815, 476, 4510, 278, 7761, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7830, 912, 1038, 1820, 3488, 7367, 265, 279, 7830, 815, 476, 275, 4366, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8287, 912, 1038, 1820, 3488, 7367, 265, 279, 8287, 815, 476, 275, 4366, 10602, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5038, 912, 1038, 1820, 3488, 7367, 265, 279, 5038, 815, 476, 4510, 280, 2764, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4792, 912, 1038, 1820, 3488, 7367, 265, 279, 4792, 815, 476, 4510, 280, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5780, 912, 1038, 1820, 3488, 7367, 265, 279, 5780, 815, 476, 14596, 3953, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6858, 912, 1038, 1820, 3488, 7367, 265, 279, 6858, 815, 476, 14596, 10019, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6924, 912, 1038, 1820, 3488, 7367, 265, 279, 6924, 815, 476, 26493, 3607, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7597, 912, 1038, 1820, 3488, 7367, 265, 279, 7597, 815, 476, 26493, 6434, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3583, 912, 1038, 1820, 3488, 7367, 265, 279, 3583, 815, 476, 3393, 273, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 272, 912, 1038, 1820, 3488, 7367, 265, 9262, 272, 815, 476, 3393, 273, 10844, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7761, 912, 1038, 1820, 3488, 7367, 265, 279, 7761, 815, 476, 28526, 4510, 5073, 825, 952, 1003, 272, 2652, 476, 7367, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19100, 543, 31719, 269, 7324, 873, 616, 4145, 827, 5496, 942, 7182, 267, 7834, 28863, 267, 12581, 1569, 267, 543, 2085, 29003, 1543, 5542, 269, 1306, 971, 267, 7855, 543, 14519, 7567, 1590, 29050, 6330, 713, 24567, 20281, 609, 13657, 543, 18064, 3130, 547, 2327, 6099, 1565, 2833, 585, 782, 8639, 3238, 780, 23997, 269, 10390, 692, 1607, 1576, 1770, 814, 8268, 519, 1543, 1190, 3390, 540, 2407, 6377, 8957, 851, 6377, 9251, 5752, 1369, 661, 4753, 8658, 269, 3414, 6514, 540, 32083, 1696, 620, 9538, 338, 630, 1001, 275, 264, 25761, 960, 267, 649, 20114, 8903, 2963, 5885, 519, 27166, 540, 2407, 6377, 12043, 7282, 1153, 22026, 267, 20343, 267, 543, 1978, 7516, 540, 2385, 9525, 269, 5015, 267, 649, 5941, 3255, 543, 2591, 2404, 609, 10128, 3059, 4066, 883, 4207, 661, 4753, 2853, 267, 10771, 519, 13766, 540, 4140, 5534, 3375, 6194, 950, 7598, 3209, 2645, 543, 2553, 269, 11086, 267, 4797, 5188, 543, 12170, 7634, 616, 11562, 5896, 547, 4434, 938, 7104, 1620, 540, 1655, 2853, 538, 661, 4753, 267, 6038, 30364, 5481, 540, 1762, 6267, 26405, 547, 7832, 2390, 741, 3872, 15322, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 324, 7343, 21043, 589, 269, 5530, 17461, 585, 519, 29268, 4132, 6261, 1861, 15544, 454, 324, 7343, 21043, 645, 269, 4406, 7190, 538, 7216, 19974, 10495, 454, 324, 8368, 476, 272, 269, 9752, 11150, 7108, 30014, 543, 17361, 31283, 454, 324, 8368, 476, 273, 269, 20587, 720, 540, 5384, 3131, 10432, 538, 19019, 531, 11242, 676, 9509, 28233, 543, 3487, 28233, 26643, 454, 324, 8368, 476, 274, 269, 4132, 6261, 1861, 4741, 23893, 4149, 1041, 9509, 28233, 12411, 639, 3487, 28233, 18014, 281, 27975, 569, 1955, 1584, 539, 12540, 1400, 31283, 454, 324, 8368, 476, 275, 269, 13038, 1955, 1584, 566, 26488, 585, 31932, 9752, 11150, 7108, 590, 13990, 454, 324, 8201, 269, 20587, 720, 7827, 28731, 547, 3487, 28233, 18014, 23105, 609, 9509, 28233, 18014, 30880, 454, 20578, 1125, 707, 808, 24717, 8416, 1995, 676, 8939, 835, 610, 811, 3584, 689, 519, 1592, 2630, 563, 3725, 2106, 9529, 589, 297, 267, 27672, 517, 22601, 267, 15917, 752, 11867, 631, 267, 1696, 620, 269, 5948, 540, 513, 9509, 28233, 5288, 3487, 28233, 18014, 27800, 2060, 3427, 3367, 1465, 267, 29934, 766, 267, 543, 9977, 12833, 9876, 618, 269, 808, 24717, 269, 476, 1001, 275, 282, 24374, 263, 736, 2567, 18891, 277, 1700, 22659, 275, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 1001, 275, 269, 14631, 10602, 454, 15900, 6689, 7459, 723, 7152, 2318, 2360, 593, 1134, 5630, 269, 6787, 2407, 6377, 5288, 851, 6377, 693, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15697, 29550, 257, 607, 851, 540, 834, 3633, 24102, 1315, 12140, 1315, 20946, 1315, 14451, 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, 4197, 7392, 7010, 281, 29955, 8866, 2060, 20150, 28423, 5455, 2439, 20756, 972, 267, 2104, 10509, 530, 23275, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 2731, 3579, 1572, 1826, 1949, 269, 1452, 2027, 2645, 948, 1004, 945, 723, 7411, 6340, 5968, 811, 3927, 267, 2523, 3214, 609, 10295, 8552, 4713, 630, 32359, 1040, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 4312, 1500, 513, 1007, 3659, 3957, 16092, 945, 814, 20284, 269, 4634, 1498, 16092, 1522, 3068, 2591, 950, 621, 2501, 547, 6158, 267, 789, 1869, 1616, 547, 2671, 2984, 543, 1404, 3756, 1175, 899, 3025, 3116, 256, 2334, 779, 1141, 1826, 1949, 2097, 538, 13561, 269, 1358, 666, 581, 5258, 883, 1079, 6688, 281, 29211, 543, 19448, 3660, 780, 1262, 288, 3660, 7392, 7010, 5093, 5994, 1210, 707, 5172, 16979, 610, 2780, 3014, 602, 2337, 596, 2911, 676, 6029, 5961, 610, 1913, 269, 901, 568, 1018, 606, 29211, 1826, 1062, 1281, 256, 898, 3096, 5007, 2200, 971, 607, 4605, 6486, 267, 2835, 267, 14342, 267, 610, 5904, 269, 2290, 2442, 1383, 568, 1634, 607, 16514, 16510, 9442, 3590, 630, 303, 4488, 306, 1040, 623, 4488, 306, 13071, 3755, 3442, 2592, 8204, 1919, 789, 991, 610, 1616, 267, 3850, 873, 547, 1628, 5220, 543, 2769, 2933, 1732, 269, 15346, 267, 26001, 2496, 1262, 308, 3534, 3660, 7392, 7010, 5093, 3767, 1589, 540, 14379, 1510, 1022, 3544, 948, 1765, 3286, 13461, 593, 3054, 256, 1133, 320, 3660, 1826, 1949, 1577, 3755, 798, 4010, 602, 998, 17267, 610, 1560, 5322, 267, 1256, 1977, 6178, 5678, 630, 3008, 299, 1040, 1280, 3236, 267, 930, 11570, 949, 946, 1129, 1893, 9904, 5022, 4646, 609, 11263, 547, 11963, 856, 3003, 6835, 269, 1215, 16517, 568, 602, 2496, 3086, 267, 875, 798, 891, 1826, 1949, 2965, 2087, 2792, 543, 6863, 1851, 3214, 609, 20284, 286, 4270, 267, 3173, 5342, 1082, 2090, 936, 942, 547, 1265, 4267, 269, 2991, 7421, 6266, 540, 1344, 267, 1934, 781, 1018, 789, 4362, 1384, 265, 5637, 29211, 543, 19448, 3660, 1826, 1949, 5280, 3214, 1020, 1898, 11913, 1983, 269, 4635, 3308, 7028, 610, 19142, 9415, 1453, 547, 4497, 538, 7391, 543, 4228, 741, 2262, 10070, 563, 265, 1879, 3214, 13736, 1210, 891, 3457, 5781, 267, 789, 2968, 811, 8746, 538, 4687, 4555, 543, 4606, 269, 3683, 942, 267, 713, 3366, 547, 6793, 1514, 4296, 609, 2828, 267, 1920, 2818, 267, 543, 3610, 1932, 2439, 3383, 3314, 938, 5493, 16092, 286, 1635, 1565, 827, 1826, 1949, 267, 1631, 9358, 1223, 1711, 5499, 3435, 1818, 621, 4443, 585, 3214, 899, 16092, 547, 1921, 609, 1866, 269, 5808, 6487, 1765, 16673, 2041, 14693, 596, 3513, 1374, 519, 1985, 2462, 3364, 4543, 6634, 1472, 519, 1158, 3717, 909, 23217, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22546, 4369, 540, 7756, 9537, 540, 4119, 618, 894, 543, 20010, 454, 31636, 630, 288, 3722, 264, 538, 25947, 9442, 10341, 454, 663, 538, 31514, 519, 18500, 540, 5753, 609, 20284, 281, 513, 5623, 454, 13731, 710, 918, 269, 5204, 686, 641, 9567, 537, 5937, 22088, 454, 3725, 18727, 281, 476, 2420, 5147, 476, 1708, 271, 1315, 10907, 1061, 539, 281, 476, 1691, 2904, 476, 1708, 272, 454, 258, 763, 8191, 4433, 1070, 896, 12600, 6132, 775, 547, 22219, 3163, 266, 19968, 9012, 267, 20941, 267, 851, 540, 22219, 7186, 476, 1708, 272, 454, 31636, 22907, 616, 835, 540, 519, 4295, 2589, 540, 10295, 8552, 4524, 630, 32359, 1070, 543, 32433, 894, 543, 4244, 454, 23890, 630, 288, 3722, 264, 1949, 616, 8246, 547, 7520, 519, 2792, 543, 1893, 1646, 540, 1453, 609, 20284, 563, 1607, 2689, 12116, 519, 1382, 3332, 593, 519, 946, 540, 29211, 543, 19448, 3660, 589, 3722, 1949, 538, 7459, 585, 1453, 609, 454, 32359, 267, 543, 27180, 741, 7145, 538, 7393, 1893, 543, 2792, 1983, 538, 713, 2551, 269, 3590, 1738, 2689, 454, 24709, 1108, 729, 1031, 547, 3970, 9186, 538, 519, 3406, 540, 5907, 12240, 267, 543, 4143, 2090, 941, 5697, 267, 476, 736, 540, 799, 1558, 519, 454, 514, 2424, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13911, 7010, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 4937, 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, 8080, 547, 606, 3078, 3460, 998, 930, 540, 519, 1034, 4190, 8916, 538, 519, 1158, 256, 5620, 596, 2479, 16545, 3054, 607, 513, 12703, 24413, 267, 12423, 1007, 543, 18198, 24738, 286, 4270, 267, 10544, 707, 834, 31748, 5028, 2437, 1317, 649, 2811, 827, 547, 7832, 593, 513, 5691, 7045, 4904, 609, 15999, 10239, 267, 23406, 803, 27595, 267, 12627, 268, 27234, 12647, 267, 543, 12357, 23898, 269, 3143, 19048, 1765, 933, 3513, 2491, 3388, 596, 991, 547, 917, 2059, 519, 1259, 2439, 5978, 1101, 10278, 568, 7977, 267, 4092, 538, 519, 2295, 540, 7013, 2342, 269, 901, 8748, 2197, 568, 1634, 585, 922, 8949, 1426, 267, 3638, 1686, 267, 543, 9735, 2067, 5898, 269, 4653, 267, 649, 786, 1445, 593, 835, 1880, 3148, 1572, 519, 7969, 26541, 558, 2572, 267, 31314, 1164, 909, 538, 27040, 7977, 269, 898, 1522, 3280, 899, 513, 30152, 1747, 267, 855, 3972, 721, 267, 621, 781, 4502, 519, 7552, 2439, 3086, 267, 1577, 781, 4952, 519, 7969, 26541, 558, 2572, 607, 513, 9649, 19209, 267, 20077, 856, 676, 2470, 3294, 269, 5994, 7381, 267, 1448, 344, 10239, 630, 21406, 834, 701, 6545, 8442, 8757, 585, 519, 6607, 267, 7555, 9856, 936, 9543, 3039, 15113, 267, 31394, 4544, 12647, 267, 543, 6456, 5728, 23898, 7996, 547, 581, 4362, 269, 3767, 4605, 1945, 1256, 811, 9589, 281, 782, 1346, 5863, 10207, 998, 707, 1360, 1378, 8254, 7828, 256, 1215, 3579, 1131, 602, 581, 2496, 4131, 781, 1205, 547, 917, 891, 4241, 2934, 513, 3787, 1732, 1384, 1262, 8248, 6545, 5093, 1452, 616, 519, 32399, 2694, 540, 519, 10239, 267, 899, 5458, 22586, 11263, 15738, 2509, 519, 30723, 269, 1358, 2097, 538, 1114, 5546, 543, 7306, 267, 1818, 1142, 835, 2189, 269, 3807, 1589, 540, 875, 5863, 621, 1131, 1413, 952, 596, 1223, 7001, 741, 14734, 17965, 538, 513, 8666, 2439, 1262, 300, 1737, 3298, 5093, 9941, 267, 12902, 15113, 4988, 538, 3039, 6371, 267, 3501, 585, 17552, 333, 923, 610, 5910, 2056, 547, 581, 513, 27585, 610, 27959, 3695, 513, 25386, 10806, 269, 28927, 3298, 616, 849, 1753, 547, 1082, 3552, 25154, 267, 2870, 7524, 4778, 602, 1131, 1039, 9059, 547, 1022, 25135, 14653, 780, 1262, 299, 1389, 5093, 13068, 4703, 540, 1216, 10452, 519, 5898, 1472, 873, 267, 899, 5277, 19141, 6029, 1055, 519, 19589, 267, 803, 27595, 267, 543, 12269, 269, 20463, 1419, 723, 4277, 7320, 1932, 267, 971, 607, 26414, 267, 3165, 267, 543, 2371, 602, 1711, 513, 2713, 24463, 14015, 780, 1262, 309, 4150, 903, 5093, 10555, 633, 267, 695, 8014, 2127, 512, 26786, 1063, 519, 19589, 543, 803, 27595, 269, 966, 4150, 903, 949, 3100, 18632, 982, 824, 4025, 267, 855, 3006, 267, 789, 12404, 9670, 16782, 267, 899, 12535, 267, 23572, 267, 610, 6397, 10943, 10449, 540, 2681, 689, 4686, 5810, 780, 3383, 1631, 602, 649, 1174, 519, 13300, 540, 519, 7969, 26541, 558, 2572, 267, 1946, 798, 596, 15475, 649, 1616, 547, 1491, 5961, 540, 873, 286, 2334, 781, 1318, 256, 1677, 3314, 891, 8090, 11014, 543, 1397, 1866, 519, 17134, 656, 618, 602, 6818, 538, 938, 1158, 269, 2060, 2259, 267, 9639, 267, 543, 6612, 267, 9358, 1223, 1831, 519, 12703, 24413, 13830, 519, 5898, 540, 30152, 3338, 998, 707, 8254, 7828, 256, 8414, 15246, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 3168, 585, 6667, 585, 707, 1985, 5251, 10344, 7552, 286, 1703, 616, 930, 4025, 538, 519, 1158, 602, 616, 1175, 1500, 585, 707, 8254, 269, 634, 1883, 547, 8744, 1753, 513, 10875, 14769, 540, 6337, 568, 547, 917, 1141, 789, 616, 543, 1018, 547, 8523, 2899, 596, 2461, 972, 563, 268, 15012, 721, 593, 713, 476, 1556, 4303, 19360, 538, 4201, 4379, 22878, 22544, 454, 268, 6258, 891, 30318, 31396, 23994, 585, 23721, 22878, 454, 4415, 865, 1454, 547, 1294, 538, 713, 1158, 543, 865, 2370, 942, 267, 621, 666, 581, 2352, 547, 6430, 1141, 596, 1058, 979, 1985, 269, 1924, 1934, 267, 649, 2671, 609, 596, 938, 1283, 476, 1428, 4025, 538, 519, 1158, 602, 596, 991, 547, 3643, 585, 5251, 10344, 693, 2547, 2899, 538, 707, 10715, 563, 258, 1428, 910, 7969, 26541, 558, 2572, 454, 763, 7969, 26541, 558, 2572, 568, 2407, 540, 11121, 29278, 269, 17421, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2037, 28387, 328, 2880, 318, 23911, 318, 21995, 1948, 303, 318, 1015, 318, 273, 318, 272, 692, 3698, 1039, 272, 4433, 2187, 825, 585, 1775, 538, 2039, 12759, 4433, 15892, 1038, 521, 5157, 316, 6834, 272, 692, 560, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 5417, 272, 263, 560, 994, 2745, 263, 560, 264, 0, 258, 26250, 18258, 454, 258, 901, 568, 513, 1982, 602, 6067, 1115, 519, 3593, 692, 3698, 1292, 10031, 453, 4067, 815, 3403, 2891, 1432, 568, 707, 2012, 286, 3436, 19515, 13537, 9497, 15916, 267, 834, 1341, 2012, 994, 28768, 10852, 4590, 0, 454, 2745, 3488, 11687, 2889, 915, 4358, 909, 256, 262, 9239, 3698, 4232, 318, 10401, 3799, 267, 521, 2187, 825, 689, 5569, 1104, 607, 857, 328, 318, 869, 27664, 607, 561, 322, 267, 607, 857, 328, 318, 6269, 27664, 607, 579, 322, 454, 825, 1413, 1575, 815, 1193, 6230, 752, 564, 4920, 10857, 322, 1341, 579, 322, 267, 561, 322, 19559, 281, 316, 1341, 561, 322, 11468, 333, 316, 1341, 579, 322, 19559, 281, 316, 1341, 579, 322, 11468, 333, 7481, 825, 2132, 521, 6745, 4920, 17218, 10857, 809, 1575, 9239, 5976, 1930, 3488, 6358, 17902, 3299, 1412, 337, 10807, 607, 535, 912, 825, 585, 1899, 538, 535, 912, 1038, 1820, 263, 4232, 318, 10401, 263, 1724, 267, 1899, 14714, 8692, 28829, 476, 9239, 2745, 3488, 3333, 583, 1154, 1524, 17210, 692, 258, 339, 29081, 281, 1413, 1575, 814, 3107, 630, 11415, 267, 3758, 1070, 824, 4277, 630, 8117, 2241, 264, 524, 760, 1667, 454, 0, 692, 29323, 611, 2803, 284, 14277, 2437, 2437, 282, 14824, 1701, 6540, 4289, 320, 17342, 6540, 514, 335, 284, 6358, 10797, 604, 263, 514, 335, 2525, 257, 307, 13052, 15674, 257, 2187, 825, 13274, 3873, 284, 6358, 4590, 825, 1247, 263, 4802, 3873, 256, 6889, 293, 8379, 1701, 2187, 1038, 13274, 3873, 284, 4802, 3873, 31573, 4590, 1038, 585, 1605, 332, 538, 3021, 611, 2803, 912, 2018, 13274, 3873, 284, 4802, 3873, 18622, 2897, 16216, 12661, 2437, 19515, 1038, 13274, 3873, 284, 4802, 3873, 21858, 4590, 1038, 30458, 6910, 263, 4802, 3873, 994, 1038, 13274, 3873, 284, 6358, 4590, 825, 1820, 2891, 294, 308, 19181, 4696, 302, 1701, 2020, 692, 514, 335, 284, 6358, 4590, 6112, 263, 514, 335, 2187, 825, 538, 335, 284, 514, 335, 21858, 10797, 825, 952, 263, 514, 335, 314, 271, 316, 2525, 257, 299, 2562, 295, 3008, 257, 2187, 1038, 5493, 822, 571, 284, 514, 335, 314, 272, 2639, 1038, 1293, 31690, 13757, 17342, 2639, 1038, 585, 1775, 538, 2039, 12759, 17338, 320, 15892, 2018, 952, 9638, 531, 822, 571, 538, 30458, 5157, 316, 2187, 3546, 1293, 31690, 13757, 6910, 9217, 994, 1038, 952, 12759, 6262, 870, 31690, 13757, 264, 285, 271, 2187, 2018, 585, 1775, 538, 1293, 31690, 13757, 912, 3546, 1820, 9217, 267, 754, 6889, 19515, 2018, 1820, 2891, 5602, 1038, 3116, 912, 2018, 1820, 2891, 268, 272, 15419, 825, 952, 263, 514, 335, 314, 271, 316, 2525, 257, 19798, 8016, 257, 2187, 1038, 5493, 822, 571, 284, 514, 335, 314, 272, 2639, 1038, 1003, 31690, 3873, 284, 514, 335, 314, 273, 2639, 13872, 1038, 952, 9638, 531, 822, 571, 538, 30458, 27776, 16325, 31690, 3873, 13580, 2187, 2018, 1820, 2891, 2894, 25321, 15045, 4696, 288, 23528, 1038, 3116, 912, 2018, 1820, 2891, 2793, 302, 661, 10998, 2177, 15045, 4696, 288, 23528, 825, 538, 335, 284, 6358, 4590, 672, 0, 12163, 763, 2040, 540, 519, 10945, 540, 519, 1101, 4557, 2067, 2338, 568, 10484, 272, 317, 273, 1341, 476, 273, 317, 273, 1341, 3267, 1341, 476, 1015, 317, 273, 815, 476, 4343, 276, 454, 763, 4009, 540, 519, 2040, 540, 519, 1101, 4557, 2067, 2338, 568, 10484, 263, 272, 1341, 476, 273, 1341, 3267, 1341, 476, 1015, 8203, 273, 815, 476, 4649, 317, 273, 815, 476, 23714, 276, 454, 17798, 519, 3017, 1063, 519, 2040, 540, 519, 10945, 540, 519, 1101, 4557, 2067, 2338, 543, 519, 4009, 540, 519, 2040, 568, 476, 23714, 276, 6567, 476, 4343, 276, 815, 476, 25784, 271, 780, 8340, 519, 3017, 1063, 519, 2040, 540, 519, 10945, 540, 519, 1101, 835, 4627, 2067, 2338, 543, 519, 4009, 540, 519, 2040, 563, 692, 11405, 454, 2467, 616, 1079, 2081, 547, 798, 621, 267, 1312, 4125, 930, 8520, 532, 543, 521, 271, 1889, 14805, 566, 543, 3126, 12596, 454, 19686, 7089, 835, 454, 8196, 14805, 566, 4542, 692, 263, 11764, 332, 566, 540, 1323, 264, 567, 815, 567, 5681, 332, 566, 540, 1323, 317, 273, 1341, 5681, 332, 566, 263, 11764, 332, 566, 540, 589, 328, 265, 288, 329, 994, 825, 562, 284, 272, 547, 715, 3546, 562, 284, 272, 547, 715, 1038, 795, 284, 272, 547, 715, 476, 1775, 284, 272, 547, 795, 268, 272, 692, 3383, 6061, 519, 2034, 2165, 3947, 721, 519, 3017, 543, 8754, 938, 2626, 454, 1607, 666, 960, 585, 1022, 2338, 538, 513, 1592, 2705, 2094, 649, 991, 547, 960, 585, 1101, 562, 2067, 2338, 267, 891, 1082, 17787, 616, 11991, 563, 763, 824, 1259, 1472, 713, 568, 1210, 3126, 12596, 799, 6770, 721, 547, 6396, 7089, 476, 273, 692, 19686, 7089, 1079, 692, 11764, 332, 566, 540, 1101, 562, 2338, 815, 16733, 333, 317, 273, 264, 1341, 562, 264, 1315, 476, 273, 476, 476, 9982, 27401, 1862, 263, 272, 994, 11764, 332, 566, 540, 10945, 540, 1101, 562, 2338, 815, 630, 273, 16732, 333, 317, 274, 264, 1341, 476, 274, 16732, 333, 317, 273, 264, 1341, 562, 8358, 277, 10371, 1862, 263, 273, 2020, 3383, 519, 2626, 568, 3830, 630, 273, 264, 10208, 539, 676, 4009, 540, 3830, 630, 272, 994, 2171, 946, 1505, 1079, 1934, 692, 12163, 5814, 942, 454, 5814, 2979, 454, 11034, 22710, 815, 942, 28333, 4590, 333, 284, 1911, 454, 333, 273, 284, 1911, 876, 454, 7407, 815, 630, 333, 16732, 333, 273, 910, 476, 272, 31618, 274, 265, 333, 1341, 476, 273, 4297, 270, 1321, 454, 2745, 263, 7407, 994, 2745, 2891, 19203, 4939, 338, 7643, 26905, 257, 4939, 630, 5503, 28333, 3890, 910, 1376, 22710, 4917, 0, 6647, 334, 815, 10581, 9272, 3488, 14707, 924, 694, 340, 26240, 334, 900, 918, 326, 281, 1412, 4917, 5306, 3120, 815, 10581, 9272, 3488, 14707, 924, 647, 320, 5621, 3120, 900, 1558, 4592, 281, 1412, 4917, 574, 322, 815, 26240, 334, 1315, 5621, 3120, 2878, 476, 273, 454, 604, 708, 322, 2999, 476, 1240, 269, 276, 912, 825, 1820, 28361, 30033, 314, 272, 332, 309, 665, 17845, 1609, 5451, 705, 320, 1460, 334, 798, 26240, 334, 973, 558, 754, 5964, 256, 1160, 10810, 19804, 544, 2946, 323, 4815, 16948, 2357, 881, 541, 647, 320, 1094, 14243, 1372, 26142, 30033, 314, 332, 5073, 19197, 708, 322, 10922, 476, 1839, 912, 825, 1820, 28361, 30033, 314, 3953, 332, 13640, 629, 2946, 985, 256, 15642, 17845, 1609, 5451, 635, 522, 26240, 334, 4998, 26142, 30033, 314, 332, 5073, 19197, 708, 322, 10922, 476, 1789, 912, 825, 1820, 28361, 30033, 314, 3451, 332, 309, 665, 17845, 1609, 5451, 635, 865, 3691, 6647, 334, 256, 23144, 535, 1794, 518, 2624, 6403, 857, 657, 535, 6403, 338, 545, 657, 1019, 926, 3512, 324, 26142, 30033, 314, 332, 5073, 19197, 708, 322, 10922, 476, 2412, 912, 825, 1820, 28361, 30033, 314, 4029, 332, 309, 665, 17845, 1609, 5451, 635, 1073, 525, 573, 1228, 256, 1160, 10810, 16095, 541, 694, 340, 705, 527, 657, 620, 2939, 4100, 635, 513, 9080, 320, 632, 19804, 544, 2946, 323, 4815, 26142, 30033, 314, 332, 5073, 19197, 708, 322, 3436, 476, 2412, 912, 825, 1820, 28361, 30033, 314, 278, 282, 4029, 332, 309, 665, 17845, 1609, 5451, 635, 1073, 525, 573, 1228, 544, 6759, 337, 321, 5866, 256, 1160, 10810, 19804, 544, 2946, 323, 4815, 522, 544, 9820, 1786, 557, 1502, 6403, 767, 26142, 30033, 314, 332, 5073, 0, 5228, 705, 322, 1104, 13235, 267, 7493, 24709, 692, 5228, 1448, 1104, 8672, 7531, 5035, 16710, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 536, 6358, 281, 25466, 2187, 1038, 1582, 12500, 6358, 815, 536, 6358, 454, 1038, 1582, 269, 1598, 815, 536, 6358, 19709, 13892, 2891, 583, 325, 268, 279, 15419, 825, 1219, 1448, 4311, 264, 9847, 8672, 912, 1038, 1535, 815, 703, 4311, 269, 1598, 314, 272, 7481, 1038, 586, 815, 3921, 4311, 269, 1598, 314, 271, 4940, 12294, 28829, 910, 3921, 3488, 320, 5073, 1038, 2132, 8672, 3287, 267, 586, 9239, 5035, 4406, 573, 730, 8333, 663, 263, 8333, 663, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 4699, 323, 281, 16710, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 9492, 323, 12500, 6358, 994, 1038, 1582, 6983, 30113, 815, 4699, 323, 692, 825, 1219, 19472, 4311, 264, 9847, 536, 944, 912, 1038, 2132, 568, 27349, 4311, 269, 1598, 267, 1193, 264, 543, 26444, 25639, 7003, 4311, 269, 1598, 264, 2652, 476, 273, 543, 26444, 25639, 3921, 3488, 320, 10807, 10922, 3921, 4311, 269, 1598, 314, 271, 4940, 12294, 28829, 10922, 3921, 3488, 329, 10807, 543, 26444, 25639, 1582, 269, 1598, 314, 272, 4940, 529, 333, 10179, 545, 10797, 825, 1219, 1448, 4311, 2187, 1038, 952, 1582, 269, 20777, 622, 10031, 2018, 2132, 2706, 14061, 4812, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 18851, 9773, 9725, 4159, 3252, 692, 290, 1844, 636, 1203, 796, 326, 664, 569, 3898, 2152, 540, 15765, 23911, 593, 7261, 326, 7773, 27969, 692, 5814, 2415, 27785, 454, 5814, 11706, 454, 5814, 30220, 692, 3698, 929, 272, 329, 9217, 267, 795, 267, 737, 2187, 825, 5727, 19530, 513, 10865, 30486, 11706, 27969, 454, 825, 630, 341, 318, 271, 267, 642, 318, 272, 1070, 642, 318, 273, 267, 642, 318, 274, 815, 795, 267, 1412, 1412, 2608, 476, 274, 267, 737, 6745, 332, 14729, 1485, 454, 825, 952, 476, 277, 2652, 1775, 543, 642, 318, 271, 2999, 476, 277, 912, 1038, 642, 318, 275, 815, 1496, 341, 318, 273, 316, 2608, 630, 341, 318, 271, 1341, 476, 272, 994, 825, 8640, 476, 271, 2652, 1775, 543, 476, 271, 2999, 642, 318, 271, 912, 1038, 642, 318, 275, 815, 1496, 341, 318, 273, 316, 2608, 642, 318, 271, 454, 825, 3116, 912, 1038, 642, 318, 275, 815, 11713, 825, 642, 318, 275, 6834, 1496, 1598, 9217, 1341, 642, 318, 274, 1040, 337, 3286, 263, 274, 264, 585, 1775, 538, 2039, 17635, 318, 272, 22708, 825, 642, 318, 271, 267, 642, 318, 272, 815, 7003, 17635, 318, 275, 264, 4939, 476, 278, 267, 11713, 825, 952, 476, 271, 2999, 642, 318, 271, 912, 1038, 642, 318, 275, 6834, 1496, 341, 318, 273, 316, 2608, 630, 278, 910, 642, 318, 271, 994, 825, 585, 642, 318, 271, 538, 2039, 263, 271, 267, 7003, 17635, 318, 275, 1070, 476, 278, 2187, 1038, 642, 318, 272, 6910, 3488, 29717, 21860, 17635, 318, 275, 314, 341, 318, 271, 2433, 642, 318, 271, 1341, 476, 278, 28413, 825, 2132, 642, 318, 272, 692, 3698, 929, 274, 332, 9217, 267, 795, 267, 737, 2187, 825, 5727, 19530, 1614, 3275, 538, 513, 4737, 27969, 454, 825, 32102, 274, 815, 1496, 328, 267, 795, 267, 737, 2639, 825, 7003, 274, 815, 1496, 6352, 10857, 560, 272, 264, 585, 32102, 272, 538, 32102, 274, 2639, 825, 3193, 274, 815, 3193, 12759, 274, 994, 825, 585, 630, 6352, 272, 267, 32102, 272, 264, 538, 23407, 12759, 274, 267, 32102, 274, 2187, 1038, 952, 3193, 274, 3436, 7003, 272, 912, 2018, 32102, 272, 6910, 3488, 5073, 825, 585, 4737, 538, 2039, 32384, 274, 2187, 1038, 1820, 3488, 8339, 22487, 263, 277, 1040, 21860, 8443, 331, 560, 272, 314, 992, 4940, 331, 3286, 263, 736, 264, 585, 32102, 272, 538, 32102, 274, 8079, 2020, 3698, 1292, 263, 9953, 2187, 825, 5727, 19530, 513, 11706, 27969, 454, 825, 524, 815, 11706, 11053, 2169, 9773, 9725, 263, 5632, 9725, 8160, 2177, 31165, 952, 1904, 6230, 3116, 11706, 2529, 7419, 31165, 994, 825, 3898, 20204, 815, 25754, 586, 281, 1412, 315, 333, 8339, 21860, 6262, 269, 8971, 20204, 12169, 1040, 20889, 28361, 333, 10807, 314, 271, 18737, 272, 7481, 825, 535, 815, 25754, 586, 267, 544, 281, 524, 269, 8971, 24629, 12169, 267, 544, 1040, 20889, 28361, 333, 10807, 314, 271, 18737, 272, 6540, 825, 952, 1904, 269, 12011, 568, 7183, 912, 1038, 1820, 263, 8971, 20204, 263, 9953, 269, 10455, 4917, 825, 8640, 476, 271, 2999, 1904, 269, 12011, 912, 1038, 1820, 263, 8971, 20204, 263, 9953, 269, 12011, 4917, 825, 8640, 1904, 269, 328, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 3791, 3446, 267, 1053, 2253, 2542, 3184, 2835, 267, 543, 3986, 741, 10763, 543, 8223, 1983, 609, 519, 948, 540, 1650, 7851, 543, 824, 2200, 269, 1635, 24110, 476, 275, 543, 476, 276, 267, 3610, 3335, 1747, 8561, 593, 9750, 741, 1053, 685, 4938, 629, 983, 625, 267, 3384, 741, 2702, 547, 1224, 1063, 519, 3515, 630, 7945, 607, 7114, 543, 16208, 23199, 610, 18505, 1042, 10096, 1070, 607, 1134, 607, 1603, 2596, 3594, 563, 1692, 1082, 1053, 666, 4324, 689, 713, 3028, 286, 1215, 1082, 3446, 2157, 1281, 621, 3382, 286, 1215, 1082, 1367, 5396, 286, 7896, 602, 524, 23926, 547, 519, 1034, 3446, 2157, 543, 6035, 948, 538, 519, 1034, 5396, 20639, 5207, 269, 1284, 849, 5795, 2027, 7156, 547, 3549, 602, 1331, 1449, 3341, 3681, 543, 2027, 6044, 547, 1053, 609, 1565, 9124, 563, 296, 991, 948, 538, 476, 1408, 1206, 2489, 1603, 269, 2725, 543, 1250, 9393, 723, 476, 1408, 1206, 1449, 1433, 539, 585, 476, 277, 628, 4989, 269, 594, 991, 4245, 543, 1250, 1449, 10992, 3028, 6789, 4338, 269, 3550, 4245, 616, 9709, 609, 2312, 6859, 269, 3550, 602, 519, 2813, 1565, 1544, 10742, 543, 20489, 1565, 9072, 269, 17797, 1353, 4566, 2687, 547, 519, 2115, 540, 519, 2875, 269, 2142, 3461, 267, 2182, 11529, 267, 543, 25981, 547, 4001, 269, 18771, 581, 2111, 547, 3313, 2875, 781, 2591, 1282, 5049, 269, 23422, 610, 2483, 2414, 1831, 606, 2228, 26613, 4116, 267, 596, 786, 991, 513, 7123, 4950, 4276, 267, 543, 31246, 786, 948, 609, 519, 1964, 269, 6732, 1362, 1543, 568, 1759, 593, 8366, 20421, 31246, 2326, 602, 786, 3986, 1018, 519, 2875, 814, 4121, 693, 741, 538, 7266, 518, 5049, 269, 1403, 596, 2461, 3168, 585, 811, 7045, 543, 513, 6197, 1689, 267, 596, 666, 3442, 547, 4001, 2228, 547, 4079, 610, 3214, 1299, 12322, 693, 938, 9241, 1201, 7875, 1639, 2228, 4099, 538, 29258, 267, 3624, 563, 296, 993, 1603, 547, 2769, 1250, 7064, 547, 596, 585, 4543, 1250, 5067, 609, 1010, 2979, 2063, 1032, 269, 1261, 8694, 519, 8772, 3446, 1032, 609, 513, 1970, 645, 538, 2979, 543, 729, 3833, 25922, 609, 519, 1259, 519, 1032, 4682, 269, 1284, 3323, 19663, 25578, 15397, 1681, 538, 519, 2887, 540, 11359, 3446, 1032, 543, 8068, 513, 7415, 3017, 538, 1010, 6015, 543, 12497, 1620, 540, 2979, 269, 1261, 729, 2111, 547, 1205, 606, 968, 288, 892, 593, 1034, 540, 1010, 4255, 998, 519, 1032, 269, 3571, 20131, 729, 5140, 543, 6785, 1175, 1018, 646, 2877, 269, 1284, 9090, 1544, 547, 3136, 609, 19663, 25578, 563, 7069, 1053, 798, 1134, 256, 594, 993, 513, 3114, 11653, 269, 594, 917, 2979, 543, 2257, 1134, 269, 594, 723, 4691, 1819, 1053, 1310, 960, 585, 476, 1321, 1296, 269, 594, 917, 1053, 1134, 269, 594, 960, 609, 513, 2875, 547, 1265, 519, 1702, 9475, 602, 2014, 2042, 269, 594, 2491, 519, 7508, 1523, 543, 1287, 2491, 621, 1586, 689, 513, 2034, 5086, 269, 594, 960, 998, 519, 1966, 609, 519, 2875, 543, 4585, 1864, 798, 621, 1586, 269, 1879, 649, 1265, 543, 2953, 9475, 538, 519, 2875, 781, 1702, 3490, 267, 646, 568, 9575, 909, 543, 4712, 547, 14133, 538, 1010, 1362, 269, 1261, 1419, 9060, 602, 646, 3085, 1405, 991, 513, 20131, 1022, 811, 4534, 711, 1390, 585, 1250, 1870, 2203, 267, 855, 9090, 1250, 3804, 269, 3267, 7348, 28483, 454, 2026, 2221, 781, 6267, 1831, 811, 32615, 547, 2228, 7317, 1565, 267, 552, 19543, 4564, 513, 17565, 6521, 538, 12419, 543, 16565, 1702, 269, 19893, 786, 1451, 875, 547, 1374, 267, 2936, 267, 2708, 543, 6218, 6437, 1543, 543, 3617, 3450, 12191, 585, 519, 2228, 4928, 269, 15443, 573, 919, 786, 2263, 3056, 14292, 2029, 2645, 267, 3301, 267, 543, 1357, 2861, 3156, 563, 763, 1655, 2533, 2154, 741, 21493, 547, 3180, 4570, 3450, 22754, 2443, 6169, 602, 789, 723, 519, 1702, 543, 1983, 547, 948, 596, 1451, 269, 1403, 513, 3028, 781, 21493, 5749, 1405, 13931, 3610, 267, 621, 1058, 2154, 873, 547, 3180, 930, 1106, 540, 4013, 13995, 630, 17141, 5833, 998, 513, 3126, 540, 4704, 11974, 267, 4282, 11974, 267, 543, 2866, 6030, 1040, 7896, 602, 2154, 3450, 22754, 20639, 519, 5207, 538, 938, 2689, 267, 609, 2533, 602, 2154, 513, 13995, 18176, 5594, 2539, 563, 5978, 17514, 1222, 1982, 267, 799, 649, 9250, 538, 519, 3735, 476, 1960, 271, 781, 267, 938, 538, 25571, 23468, 4781, 2488, 596, 609, 519, 26080, 13418, 543, 10531, 3007, 540, 513, 4357, 7998, 20131, 945, 786, 960, 609, 707, 1126, 1318, 693, 707, 10051, 3349, 269, 2353, 4245, 616, 835, 3562, 14633, 267, 543, 707, 14357, 786, 2327, 602, 1142, 8400, 568, 3810, 5059, 593, 707, 1126, 779, 2189, 2115, 563, 296, 1175, 4941, 547, 1683, 596, 513, 5299, 540, 717, 732, 1777, 779, 1533, 1449, 8464, 649, 4607, 5063, 269, 594, 2731, 5660, 782, 519, 2182, 960, 3025, 814, 2322, 538, 4543, 717, 732, 1777, 3489, 8464, 899, 891, 269, 901, 568, 513, 3020, 15266, 547, 519, 1983, 540, 3025, 3238, 609, 717, 732, 1777, 779, 1565, 972, 693, 19663, 25578, 269, 594, 666, 711, 2161, 2614, 827, 2672, 10937, 779, 543, 15609, 779, 3646, 543, 1983, 538, 4543, 717, 732, 1777, 3914, 1010, 1565, 1761, 269, 19663, 25578, 814, 1044, 851, 540, 938, 1920, 585, 513, 1279, 942, 267, 543, 1169, 8792, 814, 1044, 1134, 4502, 621, 269, 14188, 596, 865, 1454, 2336, 27039, 593, 519, 1982, 267, 519, 2085, 540, 519, 1453, 596, 786, 581, 2324, 609, 543, 519, 9021, 949, 4268, 269, 3807, 1832, 538, 2247, 602, 519, 1053, 616, 3844, 543, 519, 1292, 6662, 568, 547, 16616, 873, 547, 519, 2296, 1893, 538, 513, 1187, 1259, 269, 634, 3450, 543, 2069, 1505, 538, 3506, 568, 2356, 540, 1447, 2956, 607, 1279, 607, 519, 1453, 2972, 519, 1184, 543, 616, 3478, 6534, 547, 519, 2296, 1893, 269, 2368, 3506, 786, 1683, 519, 2556, 2866, 2390, 4358, 707, 15321, 13307, 269, 1403, 596, 723, 513, 1259, 609, 1453, 267, 596, 2811, 3860, 543, 9599, 827, 6427, 532, 5499, 2081, 547, 7038, 873, 267, 1287, 1810, 1405, 19292, 547, 4001, 2296, 13383, 1317, 891, 3785, 616, 7996, 585, 1004, 899, 596, 2336, 763, 1292, 4305, 540, 606, 2296, 3450, 15321, 568, 547, 1921, 609, 519, 1053, 543, 1683, 873, 609, 519, 4316, 547, 5968, 609, 2296, 10529, 269, 901, 5578, 786, 5512, 873, 538, 741, 2104, 2729, 607, 811, 3255, 11200, 585, 873, 269, 1306, 606, 2296, 3450, 15321, 267, 596, 786, 960, 7258, 824, 13538, 538, 6887, 543, 786, 581, 6462, 676, 519, 1788, 9614, 610, 4717, 13541, 540, 519, 1153, 610, 3919, 563, 3849, 6929, 814, 1185, 513, 1360, 1434, 942, 2324, 609, 2274, 6511, 543, 594, 3494, 814, 27636, 5393, 1134, 896, 1200, 4691, 601, 720, 269, 2311, 713, 1448, 649, 3494, 602, 646, 568, 538, 1360, 1434, 3337, 585, 1631, 609, 2543, 547, 1010, 3446, 1377, 2979, 630, 515, 4867, 814, 513, 476, 9083, 266, 260, 538, 519, 1362, 7064, 547, 930, 3063, 5491, 264, 543, 849, 7959, 602, 646, 17358, 519, 1570, 269, 8212, 20131, 568, 1360, 5363, 1932, 269, 3849, 6929, 5170, 547, 723, 1434, 1967, 2324, 609, 707, 16929, 543, 649, 616, 1360, 13854, 609, 782, 540, 519, 6351, 269, 594, 723, 1044, 3843, 547, 18609, 1866, 547, 2285, 707, 3028, 513, 2119, 543, 786, 1832, 909, 602, 4674, 607, 594, 1589, 621, 568, 1390, 2336, 12626, 3610, 693, 782, 2157, 616, 4397, 547, 723, 693, 2547, 513, 20277, 779, 4110, 538, 2296, 267, 19761, 267, 2527, 10618, 610, 513, 7463, 9015, 971, 607, 3860, 1603, 610, 3332, 269, 2296, 3610, 1419, 20647, 538, 5396, 971, 607, 8239, 543, 1585, 5339, 11964, 267, 899, 3703, 610, 1977, 3332, 267, 1857, 6340, 543, 7521, 267, 610, 1603, 563, 4407, 2296, 3610, 616, 676, 1100, 1797, 782, 5641, 689, 519, 1482, 9044, 267, 789, 616, 3335, 1004, 945, 2648, 3332, 267, 4865, 2178, 2542, 543, 1603, 1983, 267, 543, 2972, 4687, 741, 2648, 540, 3332, 543, 1603, 609, 1866, 269, 4595, 2296, 4249, 606, 1271, 1909, 538, 782, 824, 5396, 538, 1153, 267, 3255, 547, 4001, 616, 2141, 2139, 693, 782, 2157, 540, 2069, 267, 609, 519, 5207, 1790, 4660, 7158, 3335, 1336, 338, 693, 12621, 543, 9945, 563, 288, 17849, 9614, 1522, 3914, 856, 547, 596, 609, 513, 1761, 2816, 269, 1358, 1522, 2709, 782, 519, 3877, 827, 519, 2816, 855, 711, 519, 7887, 835, 540, 782, 9789, 2754, 17849, 585, 519, 2816, 269, 4014, 789, 1522, 2161, 789, 666, 1406, 30035, 519, 2754, 610, 789, 3580, 6336, 519, 1761, 10243, 2404, 609, 11093, 596, 538, 519, 2990, 267, 596, 1058, 917, 585, 1978, 519, 2012, 540, 519, 2754, 596, 2461, 5967, 532, 585, 563, 9617, 607, 609, 2661, 13460, 267, 596, 3580, 1616, 547, 917, 875, 1082, 1053, 596, 3580, 581, 3450, 267, 607, 621, 786, 1860, 519, 2010, 540, 4245, 543, 10526, 596, 3580, 2932, 269, 1280, 1383, 267, 2110, 2626, 610, 1557, 4255, 949, 581, 4101, 547, 3446, 609, 1804, 5049, 267, 855, 2029, 666, 1118, 1919, 899, 2789, 3903, 11400, 1256, 4443, 547, 3446, 982, 538, 513, 15839, 7146, 2173, 677, 541, 4928, 563, 2521, 547, 2697, 5396, 267, 10467, 267, 543, 4255, 602, 786, 2154, 513, 23468, 8400, 607, 2038, 607, 2009, 269, 1306, 519, 19496, 4422, 593, 267, 21493, 1205, 1668, 1512, 543, 741, 16131, 1205, 9875, 547, 11282, 269, 634, 1655, 2228, 2533, 786, 1869, 581, 2111, 547, 1265, 596, 513, 20131, 593, 24683, 663, 267, 855, 972, 568, 1100, 10018, 602, 707, 9053, 20131, 786, 581, 2139, 952, 596, 7227, 2394, 519, 2063, 8792, 547, 1433, 606, 13393, 269, 0, 763, 3597, 1062, 6087, 15496, 2371, 547, 3489, 1216, 543, 5567, 689, 519, 3037, 269, 634, 3597, 1062, 25309, 1216, 543, 5567, 689, 519, 3037, 269, 634, 1739, 786, 1865, 875, 519, 2030, 1281, 891, 1919, 269, 634, 588, 558, 1092, 616, 4092, 593, 519, 2539, 2627, 269, 27488, 538, 519, 1106, 540, 744, 476, 273, 3154, 666, 3914, 2281, 676, 886, 6748, 998, 519, 2011, 5624, 1063, 519, 2281, 269, 5253, 19554, 12518, 616, 5827, 540, 15268, 3762, 267, 11710, 543, 5072, 547, 4558, 1426, 563, 1607, 568, 12913, 998, 519, 1184, 540, 269, 4495, 538, 519, 1535, 1803, 332, 267, 1216, 609, 519, 6886, 602, 723, 1044, 20024, 538, 621, 607, 1134, 607, 17573, 5214, 6675, 13859, 676, 519, 3597, 5160, 1847, 909, 538, 519, 8043, 543, 30439, 1749, 269, 634, 476, 273, 1292, 2472, 540, 15591, 616, 27488, 543, 3794, 26651, 269, 898, 568, 20202, 865, 621, 666, 2445, 14947, 269, 590, 1075, 13427, 666, 581, 10736, 883, 7280, 563, 5278, 2371, 723, 5072, 602, 22132, 1657, 2666, 689, 11710, 610, 3762, 269, 1358, 849, 991, 547, 581, 2111, 547, 4894, 13311, 6878, 689, 741, 4703, 269, 853, 2114, 769, 519, 15837, 2030, 267, 606, 11895, 6565, 1062, 568, 4646, 609, 22224, 4388, 1572, 8685, 619, 269, 3509, 2831, 602, 723, 1930, 30057, 1949, 267, 552, 269, 1452, 4025, 616, 1634, 607, 1412, 338, 3855, 262, 513, 269, 853, 1105, 6740, 538, 519, 3762, 568, 1426, 543, 1648, 585, 6978, 4189, 2831, 563, 9558, 2091, 8791, 540, 513, 23516, 853, 558, 1092, 14956, 2287, 11790, 1879, 1216, 13788, 519, 9856, 2281, 519, 2281, 1831, 22224, 610, 2881, 326, 573, 269, 634, 1216, 666, 1287, 2951, 909, 998, 519, 1535, 1803, 332, 540, 519, 3597, 543, 6565, 267, 883, 519, 4620, 1470, 548, 267, 543, 883, 519, 3762, 540, 519, 2030, 269, 1403, 7142, 547, 1491, 1216, 689, 513, 20177, 8708, 267, 519, 11903, 1281, 865, 1510, 1022, 6175, 538, 2557, 267, 1256, 1498, 519, 4611, 12511, 3587, 865, 1390, 602, 519, 6967, 1216, 5956, 547, 14974, 31380, 269, 1703, 568, 606, 3284, 673, 5229, 543, 1082, 14694, 19512, 269, 853, 558, 1092, 3962, 588, 5448, 568, 11303, 676, 1079, 9856, 2281, 799, 1852, 519, 6679, 543, 14656, 540, 519, 588, 558, 1092, 269, 2961, 3072, 856, 676, 3597, 24827, 4092, 693, 519, 7997, 540, 15285, 563, 1607, 568, 4553, 676, 3001, 547, 519, 943, 5979, 655, 538, 513, 15466, 22753, 540, 519, 4829, 543, 6368, 547, 519, 2281, 540, 519, 4829, 269, 4826, 568, 2111, 547, 1847, 909, 519, 1535, 1803, 332, 6077, 269, 14674, 606, 4603, 602, 666, 6542, 519, 1184, 4330, 538, 513, 269, 1879, 519, 9856, 2281, 6336, 1216, 789, 16756, 543, 713, 3123, 519, 588, 5448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 4351, 27110, 263, 272, 267, 476, 274, 1070, 4351, 27110, 263, 272, 267, 476, 274, 994, 825, 1267, 815, 546, 272, 1341, 546, 273, 454, 825, 1948, 1711, 513, 1007, 1883, 267, 602, 568, 519, 1267, 540, 519, 5066, 454, 825, 1948, 1305, 922, 1871, 547, 476, 272, 267, 1317, 922, 519, 1101, 942, 649, 4312, 454, 825, 1948, 2938, 713, 5066, 454, 825, 1948, 18958, 18958, 18958, 311, 12523, 269, 26303, 20719, 14310, 281, 12523, 314, 14310, 316, 1341, 476, 272, 348, 994, 825, 1948, 12523, 314, 14310, 316, 1223, 6556, 513, 1883, 5470, 865, 649, 1869, 723, 454, 825, 1948, 547, 2638, 22562, 825, 8173, 825, 952, 1267, 538, 12523, 912, 672, 453, 12248, 338, 314, 14310, 316, 815, 12523, 314, 14310, 316, 1341, 476, 272, 454, 825, 3116, 912, 672, 453, 12248, 338, 314, 14310, 316, 815, 476, 272, 454, 825, 8173, 825, 1948, 952, 621, 6818, 454, 825, 1948, 1287, 1205, 786, 2132, 513, 1871, 267, 1039, 835, 267, 543, 649, 2811, 7670, 3876, 1293, 525, 314, 14310, 2639, 825, 8173, 825, 12523, 314, 14310, 316, 815, 12523, 10947, 31114, 267, 476, 271, 264, 1341, 476, 272, 454, 825, 8173, 825, 2119, 912, 1038, 12523, 314, 14310, 316, 815, 12523, 314, 14310, 316, 1341, 476, 272, 454, 825, 4849, 6206, 13286, 912, 672, 453, 12248, 338, 314, 14310, 316, 815, 476, 272, 692, 825, 1948, 952, 621, 3085, 1405, 2291, 454, 825, 1948, 1422, 270, 1118, 513, 1007, 1883, 1871, 6292, 454, 825, 1948, 1923, 4449, 672, 1422, 270, 952, 621, 3085, 1405, 2291, 267, 1287, 1305, 621, 547, 476, 271, 3097, 825, 1948, 12248, 338, 314, 14310, 316, 815, 12523, 10947, 31114, 267, 476, 271, 264, 1341, 476, 272, 692, 258, 1721, 5066, 267, 1293, 538, 12523, 281, 2473, 18958, 311, 692, 1721, 5066, 267, 1293, 538, 12523, 29096, 10031, 825, 1820, 263, 2651, 267, 1293, 2020, 19638, 692, 0, 5320, 815, 3403, 2891, 11767, 513, 2262, 14826, 285, 5602, 323, 815, 31460, 1721, 524, 538, 2262, 912, 453, 339, 787, 912, 453, 453, 323, 314, 322, 316, 6834, 476, 272, 454, 453, 21955, 6206, 13286, 912, 453, 453, 323, 314, 322, 316, 815, 476, 272, 454, 1721, 737, 267, 341, 538, 546, 29096, 10031, 13537, 17347, 267, 642, 994, 0, 3712, 832, 815, 18358, 19990, 3299, 1412, 30298, 576, 3299, 1412, 706, 560, 344, 9782, 3299, 1412, 325, 19895, 807, 23300, 258, 2009, 30455, 454, 258, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 454, 12163, 1721, 1775, 538, 2039, 12759, 263, 3712, 832, 15892, 825, 1820, 9217, 994, 12163, 12163, 604, 596, 1616, 547, 1689, 519, 3312, 1592, 454, 3036, 952, 585, 930, 2601, 596, 991, 547, 519, 4994, 454, 6533, 8520, 609, 2039, 3079, 454, 12163, 12163, 2745, 3488, 29592, 3299, 4778, 994, 1721, 1775, 538, 2039, 12759, 263, 3712, 832, 15892, 825, 4778, 5157, 316, 815, 4778, 5157, 316, 2608, 476, 273, 454, 2745, 3488, 12898, 3299, 4778, 994, 20701, 454, 12163, 273, 1535, 2081, 547, 8520, 936, 1592, 454, 1721, 2681, 538, 4778, 912, 825, 3267, 780, 258, 946, 713, 585, 4657, 3312, 1592, 454, 258, 1759, 593, 2990, 454, 258, 6148, 596, 991, 519, 4994, 607, 851, 540, 707, 1982, 454, 1721, 1775, 538, 2039, 12759, 263, 3712, 832, 2187, 825, 23099, 798, 8631, 609, 1775, 454, 20701, 12163, 1721, 1775, 538, 2039, 12759, 263, 3712, 832, 15892, 825, 1820, 9217, 1341, 476, 272, 267, 4778, 5157, 7481, 20701, 12163, 1721, 524, 538, 4778, 912, 825, 1948, 952, 596, 15260, 793, 8520, 4756, 454, 825, 1948, 602, 786, 2760, 1689, 519, 3312, 1592, 454, 825, 524, 815, 524, 2608, 476, 273, 454, 825, 1948, 4778, 786, 2611, 519, 1482, 454, 825, 1948, 7488, 540, 7084, 602, 649, 798, 454, 825, 1948, 547, 8520, 4756, 454, 825, 1820, 6262, 2020, 2745, 263, 3712, 832, 994, 20701, 454, 12163, 338, 333, 820, 815, 1412, 327, 1170, 344, 14248, 3999, 262, 7531, 3698, 22551, 10031, 825, 1948, 2199, 4756, 13131, 26518, 1354, 7084, 3097, 825, 1948, 5932, 513, 2199, 4429, 825, 13131, 815, 13131, 1341, 834, 30882, 825, 1948, 7084, 568, 711, 2943, 8737, 950, 649, 1413, 909, 13131, 692, 825, 1820, 3488, 514, 1599, 3299, 13131, 2020, 3333, 719, 4590, 2745, 3488, 719, 540, 1599, 3299, 13131, 994, 12163, 12163, 338, 333, 820, 815, 1412, 327, 1170, 344, 14248, 3999, 7055, 3698, 22551, 10031, 825, 13131, 815, 834, 338, 597, 1010, 338, 8584, 2000, 582, 4840, 825, 1820, 3488, 514, 1599, 3299, 13131, 2020, 3333, 719, 4590, 2745, 3488, 719, 540, 1599, 3299, 13131, 994, 20701, 454, 12163, 258, 649, 666, 1689, 513, 4573, 762, 2518, 4756, 454, 258, 689, 1369, 513, 1599, 454, 10420, 3030, 815, 18358, 12682, 3299, 1412, 6062, 549, 16502, 3299, 1412, 571, 1597, 262, 6540, 3698, 4894, 6958, 1009, 3890, 1384, 825, 3197, 21014, 263, 271, 994, 825, 3197, 314, 271, 316, 815, 476, 272, 454, 24525, 6958, 1009, 4590, 2745, 263, 10420, 3030, 994, 12163, 12163, 10420, 3030, 815, 18358, 12682, 3299, 1412, 6062, 549, 16502, 3299, 1412, 571, 1597, 262, 6540, 3698, 4894, 6958, 1009, 10031, 825, 1948, 782, 713, 568, 3257, 568, 2870, 513, 1007, 2199, 4756, 454, 825, 1948, 2518, 3085, 1405, 1689, 454, 825, 1948, 950, 649, 798, 7084, 538, 513, 1599, 267, 621, 5932, 17137, 454, 825, 3197, 815, 11713, 24525, 6958, 1009, 4590, 2745, 263, 10420, 3030, 994, 12163, 12163, 258, 476, 272, 8638, 616, 4573, 762, 454, 258, 476, 273, 649, 2811, 8429, 621, 538, 568, 513, 9936, 692, 10420, 3030, 815, 18358, 12682, 3299, 1412, 6062, 549, 16502, 3299, 1412, 571, 1597, 262, 6540, 454, 3698, 4894, 6958, 1009, 10857, 560, 2187, 825, 32102, 21014, 263, 271, 2020, 2745, 3488, 29592, 3299, 3197, 994, 14310, 815, 4894, 6958, 1009, 263, 10420, 3030, 994, 2745, 31114, 994, 2745, 3488, 12898, 3299, 3197, 994, 20701, 12163, 3698, 5595, 21223, 854, 21223, 2211, 18425, 318, 2897, 3799, 13246, 2187, 825, 585, 1775, 538, 2039, 12759, 3799, 13246, 15892, 1038, 2338, 5157, 316, 815, 2338, 5157, 316, 2608, 476, 273, 454, 825, 2132, 2338, 454, 825, 1948, 1100, 2132, 692, 3240, 5332, 4548, 815, 1496, 273, 267, 476, 275, 267, 476, 277, 2639, 2745, 30044, 5332, 4548, 994, 14310, 815, 5595, 21223, 854, 21223, 2211, 18425, 318, 2897, 30044, 5332, 4548, 994, 2745, 31114, 994, 2745, 30044, 5332, 4548, 994, 12163, 20701, 258, 18986, 11703, 1259, 540, 3478, 30455, 538, 9226, 454, 27512, 815, 18358, 331, 559, 586, 778, 1399, 3299, 1412, 332, 580, 657, 3299, 1412, 719, 330, 770, 3299, 1412, 2641, 5260, 720, 262, 6540, 454, 1721, 1605, 538, 13164, 912, 567, 27250, 1721, 1775, 538, 2039, 12759, 6357, 1343, 2187, 825, 27250, 1721, 1775, 267, 1605, 538, 26246, 6357, 1343, 2187, 825, 1820, 9217, 267, 1605, 994, 12163, 12163, 24257, 476, 272, 267, 476, 273, 454, 263, 272, 267, 476, 273, 994, 24257, 1496, 272, 267, 476, 273, 2639, 314, 272, 267, 476, 273, 2639, 9563, 11417, 24257, 834, 272, 267, 476, 273, 4840, 262, 272, 267, 476, 273, 7055, 24257, 476, 272, 267, 476, 273, 454, 263, 272, 267, 476, 273, 994, 24257, 630, 272, 267, 476, 273, 994, 263, 272, 267, 476, 273, 994, 24257, 2338, 815, 630, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 994, 24257, 2338, 2608, 476, 273, 454, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 994, 24257, 2338, 314, 271, 2639, 272, 454, 24257, 585, 562, 538, 2338, 912, 1862, 567, 1820, 3799, 994, 2483, 272, 454, 273, 454, 274, 454, 275, 454, 24257, 513, 14720, 815, 476, 272, 267, 476, 273, 454, 24257, 513, 454, 272, 454, 24257, 536, 454, 273, 454, 24257, 2338, 454, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 994, 24257, 513, 267, 536, 267, 524, 267, 546, 815, 2338, 454, 24257, 546, 454, 275, 454, 24257, 13164, 815, 18358, 2809, 6498, 3299, 1412, 345, 7637, 795, 4615, 3299, 1412, 10810, 23300, 24257, 13164, 454, 9131, 2809, 6498, 3299, 1412, 345, 7637, 795, 4615, 3299, 1412, 10810, 23300, 24257, 1592, 263, 523, 636, 4733, 6357, 1343, 4917, 27007, 271, 267, 1412, 2809, 6498, 30670, 630, 272, 267, 1412, 345, 7637, 795, 4615, 30670, 630, 273, 267, 1412, 10810, 10807, 2639, 24257, 585, 512, 538, 26246, 6357, 1343, 2187, 1862, 567, 1820, 263, 6943, 6025, 1070, 512, 994, 2483, 283, 5035, 1412, 14654, 921, 262, 285, 630, 271, 267, 1412, 2809, 6498, 5073, 283, 5035, 1412, 14654, 921, 262, 285, 630, 272, 267, 1412, 345, 7637, 795, 4615, 5073, 283, 5035, 1412, 14654, 921, 262, 285, 630, 273, 267, 1412, 10810, 5073, 24257, 585, 512, 538, 26246, 6357, 1343, 2187, 1862, 567, 1775, 267, 1605, 815, 512, 454, 1862, 567, 1820, 2891, 260, 338, 910, 4939, 338, 257, 4939, 630, 328, 267, 1605, 4917, 2483, 271, 910, 7772, 6498, 454, 272, 910, 1990, 7637, 795, 4615, 454, 273, 910, 10826, 454, 24257, 585, 1775, 267, 1605, 538, 26246, 6357, 1343, 2187, 1862, 567, 1820, 9217, 267, 1605, 994, 2483, 271, 7772, 6498, 454, 272, 1990, 7637, 795, 4615, 454, 273, 10826, 454, 24257, 692, 20701, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 7531, 0, 3698, 782, 318, 1440, 1307, 10734, 601, 578, 263, 21639, 10734, 895, 2187, 453, 18905, 5332, 13246, 815, 1496, 12148, 316, 2608, 5580, 10734, 895, 3097, 453, 335, 815, 476, 273, 454, 453, 6112, 533, 2608, 533, 2999, 5580, 10734, 895, 912, 453, 22610, 1775, 538, 2039, 9638, 267, 5580, 10734, 895, 267, 533, 2187, 4848, 14851, 1775, 11203, 533, 912, 15235, 453, 18905, 5332, 13246, 5157, 316, 815, 8771, 454, 453, 453, 335, 6834, 476, 272, 454, 453, 453, 6112, 6305, 5332, 13246, 314, 335, 316, 2652, 8771, 912, 4848, 453, 335, 6834, 476, 272, 454, 453, 2908, 8217, 815, 11713, 22610, 1775, 538, 2039, 263, 21639, 10734, 895, 2187, 453, 14851, 6305, 5332, 13246, 5157, 14158, 4848, 453, 2908, 8217, 6910, 9217, 994, 16596, 1007, 8217, 454, 4848, 3097, 2745, 263, 718, 318, 1440, 1307, 10734, 601, 578, 263, 13199, 11723, 0, 3698, 1249, 3799, 2187, 14851, 562, 2652, 476, 272, 912, 453, 16596, 476, 272, 454, 28432, 912, 453, 16596, 562, 2608, 535, 3799, 910, 272, 2020, 2745, 263, 2399, 263, 275, 4917, 2745, 263, 2399, 263, 272, 4917, 16386, 476, 2190, 2652, 1249, 263, 275, 1070, 834, 4958, 5281, 27353, 4840, 16386, 476, 272, 2652, 1249, 263, 272, 1070, 834, 2399, 3645, 540, 476, 272, 568, 476, 272, 5016, 0, 12163, 14079, 10734, 582, 318, 4968, 271, 18258, 630, 278, 2798, 994, 4499, 23751, 2791, 4312, 1044, 21534, 607, 513, 1178, 1457, 585, 1896, 5049, 267, 543, 519, 2698, 1297, 540, 3097, 29324, 596, 723, 547, 3446, 616, 936, 513, 476, 1911, 271, 630, 7676, 327, 327, 1040, 29626, 9344, 676, 1688, 585, 782, 540, 1346, 1053, 1131, 5397, 596, 5442, 306, 3198, 292, 269, 3267, 1924, 596, 1711, 513, 8773, 547, 798, 621, 3097, 1721, 596, 269, 589, 8773, 538, 5124, 269, 2334, 9344, 8631, 780, 4517, 596, 1289, 621, 281, 9625, 12527, 16165, 32767, 645, 5588, 476, 274, 298, 12527, 349, 692, 7312, 8773, 786, 1384, 272, 269, 2307, 519, 2875, 585, 741, 2012, 454, 273, 269, 26250, 519, 2875, 543, 2307, 585, 1018, 1362, 789, 2811, 538, 9497, 17098, 3267, 2999, 30700, 2012, 285, 267, 3097, 567, 1018, 1362, 616, 596, 538, 286, 5602, 274, 269, 2307, 519, 2875, 875, 1454, 4255, 616, 4502, 538, 519, 1362, 454, 275, 269, 2307, 585, 476, 273, 1449, 8464, 454, 276, 269, 5173, 519, 3328, 585, 4255, 543, 1820, 621, 856, 630, 18141, 476, 273, 8918, 4025, 543, 454, 567, 1039, 513, 2600, 1129, 994, 277, 269, 2307, 519, 2875, 875, 1454, 6780, 568, 4502, 538, 519, 1362, 454, 278, 269, 2307, 585, 476, 273, 6780, 8464, 454, 279, 269, 5173, 519, 3328, 585, 6780, 543, 1820, 621, 856, 630, 18141, 476, 273, 8918, 4025, 543, 454, 567, 1039, 513, 2600, 1129, 994, 280, 269, 5173, 741, 3803, 3446, 1759, 593, 519, 12035, 3177, 543, 3977, 621, 630, 28785, 454, 567, 1832, 476, 273, 17447, 267, 946, 513, 2600, 1129, 267, 543, 2446, 519, 1362, 2012, 2020, 7078, 19983, 454, 955, 8894, 17098, 972, 269, 594, 6415, 6103, 15636, 476, 274, 298, 269, 1548, 781, 707, 2012, 888, 285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16501, 273, 8967, 2720, 723, 3323, 713, 2165, 512, 877, 569, 267, 609, 1175, 2185, 2798, 689, 1614, 20031, 1512, 13477, 3756, 267, 1310, 10678, 2063, 4005, 609, 513, 476, 273, 268, 271, 29073, 13477, 3803, 14710, 1996, 20506, 23051, 593, 4873, 476, 272, 269, 3719, 623, 28970, 1777, 3626, 786, 2503, 547, 20618, 20354, 689, 6828, 645, 1310, 5373, 1152, 7345, 1716, 689, 2342, 779, 2101, 682, 8046, 11053, 13516, 5069, 543, 7345, 1716, 941, 19108, 3254, 547, 581, 2417, 1524, 519, 4483, 17898, 2056, 1592, 936, 519, 2250, 8717, 982, 1082, 1522, 2503, 269, 7093, 332, 9106, 1186, 25480, 4975, 3589, 2406, 2212, 30209, 543, 7464, 28925, 693, 519, 1283, 540, 519, 1592, 269, 3719, 1975, 2720, 616, 1175, 476, 1704, 628, 267, 1079, 4025, 2630, 7345, 1716, 7868, 4436, 723, 13603, 909, 2185, 2798, 689, 741, 1101, 1079, 25143, 525, 5554, 320, 13292, 713, 5859, 269, 4517, 621, 568, 1945, 540, 513, 4195, 4743, 585, 21208, 334, 918, 990, 659, 779, 2367, 1310, 519, 4832, 608, 1080, 540, 13617, 17691, 1488, 329, 523, 7605, 17754, 543, 17012, 1188, 25906, 2044, 269, 2865, 1224, 538, 11176, 8025, 4629, 308, 21203, 8668, 21659, 29560, 3223, 2033, 8761, 19863, 710, 779, 4651, 729, 11313, 2004, 268, 2004, 12664, 538, 11452, 6370, 307, 8008, 590, 21822, 2207, 294, 822, 514, 654, 3559, 534, 814, 8854, 689, 13477, 540, 8581, 547, 6424, 23894, 5069, 779, 17749, 2750, 5477, 6020, 312, 4696, 17241, 2839, 10048, 4975, 779, 681, 12011, 611, 10067, 30959, 814, 1614, 17195, 29167, 21687, 538, 11278, 4335, 267, 1822, 986, 573, 303, 1112, 3293, 3198, 661, 312, 9128, 8085, 25603, 7591, 24742, 2203, 543, 11176, 8665, 1323, 600, 7559, 1160, 323, 534, 536, 27570, 547, 4444, 1200, 1378, 8630, 296, 14408, 310, 21614, 3036, 617, 4150, 8615, 4718, 10162, 2292, 2048, 323, 8667, 532, 899, 14834, 2006, 685, 1299, 15168, 337, 731, 2048, 517, 3046, 15472, 25099, 1652, 685, 301, 28692, 5254, 7968, 297, 517, 5500, 15917, 525, 1305, 547, 1847, 547, 2296, 29073, 1222, 2348, 1044, 1577, 979, 676, 22469, 2750, 5025, 3464, 523, 531, 543, 570, 13516, 5069, 5182, 2506, 28609, 29615, 321, 599, 528, 23216, 547, 6443, 15349, 1295, 852, 338, 918, 904, 518, 529, 1602, 593, 835, 4458, 4308, 454, 307, 13516, 5069, 521, 871, 24381, 545, 1470, 623, 28970, 1777, 3626, 538, 8710, 4949, 324, 1310, 4057, 2196, 540, 1106, 6129, 22505, 7000, 2063, 3923, 602, 631, 712, 514, 14833, 568, 16994, 547, 1305, 1686, 676, 4742, 519, 1101, 9614, 547, 1291, 1614, 1114, 15731, 547, 519, 21597, 2140, 610, 2101, 3864, 512, 5268, 625, 269, 3719, 1101, 646, 786, 581, 25461, 609, 7432, 1472, 570, 13516, 5069, 779, 1106, 602, 814, 2938, 873, 4584, 909, 1175, 1614, 17993, 689, 476, 1691, 21597, 13292, 20193, 729, 2614, 585, 2274, 11803, 547, 18711, 519, 4949, 324, 1175, 3275, 1310, 646, 11461, 519, 8630, 547, 741, 1101, 2479, 29073, 13477, 3803, 269, 5141, 889, 23071, 16452, 918, 2033, 6976, 24744, 547, 519, 5449, 20148, 676, 1603, 593, 12108, 281, 968, 294, 3530, 518, 269, 594, 3580, 581, 11014, 9684, 995, 547, 596, 585, 4543, 803, 3035, 1250, 9909, 1848, 2171, 4076, 1185, 930, 5863, 8090, 538, 519, 2063, 476, 276, 543, 513, 3368, 1296, 602, 594, 786, 2760, 7340, 1848, 2791, 941, 1250, 9614, 855, 1250, 3659, 607, 1134, 543, 594, 9684, 596, 585, 602, 2078, 269, 6153, 9939, 609, 707, 1985, 3184, 17373, 278, 24381, 545, 1470, 623, 28970, 1777, 3626, 729, 4949, 539, 2063, 3781, 609, 570, 13516, 5069, 538, 476, 1691, 628, 5544, 290, 13072, 281, 16501, 278, 570, 13516, 5069, 1101, 6836, 547, 6966, 631, 712, 514, 14833, 538, 476, 1220, 278, 290, 13072, 281, 5192, 1399, 16103, 1107, 5192, 1399, 278, 2865, 1224, 538, 11176, 8025, 4629, 308, 21203, 8668, 21659, 29560, 3223, 2033, 8761, 19863, 710, 779, 4651, 729, 11313, 2004, 268, 2004, 12664, 538, 11452, 6370, 307, 8008, 590, 21822, 2207, 294, 822, 514, 654, 3559, 534, 814, 8854, 689, 13477, 540, 8581, 547, 6424, 23894, 5069, 779, 17749, 2750, 5477, 6020, 312, 4696, 17241, 2839, 10048, 4975, 779, 681, 12011, 611, 10067, 30959, 814, 1614, 17195, 29167, 21687, 538, 11278, 4335, 267, 1822, 986, 573, 303, 1112, 3293, 3198, 661, 312, 9128, 8085, 25603, 7591, 24742, 2203, 543, 11176, 8665, 1323, 600, 7559, 1160, 323, 534, 536, 27570, 547, 4444, 1200, 1378, 8630, 296, 14408, 310, 21614, 3036, 617, 4150, 8615, 4718, 10162, 2292, 2048, 323, 8667, 532, 899, 14834, 2006, 685, 1299, 15168, 337, 731, 2048, 517, 3046, 15472, 25099, 1652, 685, 301, 28692, 5254, 7968, 297, 517, 5500, 15917, 525, 1305, 547, 1847, 547, 2296, 29073, 1222, 2348, 1044, 1577, 979, 676, 22469, 3918, 293, 11555, 4041, 3008, 3633, 2419, 2086, 687, 13477, 1201, 966, 4532, 545, 5950, 676, 2941, 338, 1310, 10654, 538, 14382, 3191, 986, 573, 17395, 3198, 292, 16692, 3201, 2750, 2494, 2136, 6107, 513, 576, 6424, 13643, 3081, 20858, 3223, 2033, 7858, 7007, 513, 4579, 585, 1864, 3918, 293, 17241, 2839, 2419, 2086, 687, 13477, 1201, 966, 4532, 545, 2048, 541, 6135, 539, 538, 986, 573, 883, 5061, 543, 14382, 3191, 8258, 685, 301, 21201, 681, 2177, 290, 2077, 10730, 681, 4689, 4777, 4422, 593, 1920, 11332, 11878, 609, 7649, 9677, 2088, 30954, 22222, 1299, 3214, 300, 712, 514, 14833, 779, 1101, 4557, 3756, 693, 1975, 2720, 22261, 476, 2537, 1107, 4639, 8621, 630, 288, 264, 22261, 476, 2918, 1107, 10493, 328, 752, 657, 630, 295, 264, 22261, 476, 1789, 1107, 25816, 26937, 1926, 630, 295, 264, 13356, 476, 275, 1107, 2494, 7780, 323, 630, 288, 264, 13356, 476, 278, 1107, 22210, 2917, 630, 295, 264, 13356, 476, 1556, 1107, 7345, 1716, 22540, 630, 288, 264, 13356, 476, 1428, 1107, 654, 11510, 630, 288, 264, 13356, 476, 2420, 1107, 595, 3559, 22855, 630, 295, 264, 13356, 476, 2918, 1107, 24761, 517, 630, 295, 264, 13356, 476, 2764, 1107, 7439, 16049, 630, 288, 264, 26422, 306, 1636, 666, 7866, 281, 3509, 1975, 2720, 5716, 4503, 2463, 585, 519, 14861, 710, 585, 32222, 547, 1865, 2319, 5542, 609, 873, 543, 1010, 2810, 9000, 689, 2866, 269, 634, 4604, 3494, 623, 5255, 267, 476, 5325, 267, 22041, 1010, 1378, 521, 22326, 269, 2274, 11803, 13922, 623, 5255, 779, 14827, 786, 22321, 4579, 30280, 547, 3251, 269, 3719, 621, 779, 711, 782, 3983, 585, 623, 28970, 1777, 3626, 1310, 13941, 513, 627, 25891, 11278, 1321, 269, 276, 332, 2628, 4752, 7868, 5449, 3162, 600, 17980, 9614, 1152, 4050, 2740, 513, 17890, 2947, 4458, 10137, 2063, 4832, 1310, 513, 3791, 1747, 9096, 538, 519, 20031, 1512, 13477, 10422, 28970, 1777, 3626, 29737, 569, 1031, 547, 1832, 513, 12826, 540, 19790, 976, 538, 1010, 570, 13516, 5069, 5604, 1317, 646, 5156, 789, 12842, 2942, 1648, 269, 5591, 8969, 789, 3580, 581, 9361, 693, 519, 5377, 540, 519, 10822, 950, 631, 712, 514, 14833, 3268, 883, 1010, 1007, 5604, 2221, 269, 278, 631, 712, 514, 14833, 21128, 693, 570, 13516, 5069, 607, 513, 17626, 16771, 290, 13072, 281, 5192, 1399, 1107, 19928, 12460, 278, 294, 3530, 518, 269, 594, 3580, 581, 11014, 9684, 995, 547, 596, 585, 4543, 803, 3035, 1250, 9909, 269, 1284, 4076, 1185, 930, 5863, 8090, 538, 519, 2063, 476, 276, 543, 513, 3368, 1296, 602, 594, 786, 2760, 7340, 269, 1411, 941, 1250, 9614, 855, 1250, 3659, 607, 1134, 543, 594, 9684, 596, 585, 602, 2078, 269, 6153, 9939, 609, 707, 1985, 3184, 256, 9462, 496, 503, 17552, 6745, 342, 7867, 2593, 270, 340, 5038, 305, 311, 309, 278, 23424, 275, 1765, 16452, 918, 2033, 31822, 295, 298, 2033, 264, 5437, 476, 736, 267, 476, 1001, 280, 570, 5588, 307, 2894, 295, 4456, 723, 12912, 8277, 631, 712, 514, 14833, 607, 9614, 1447, 982, 476, 2190, 3108, 1310, 521, 22326, 24381, 545, 1470, 623, 28970, 1777, 3626, 7868, 14082, 20148, 1185, 1044, 19526, 538, 16395, 2429, 519, 3781, 1310, 12253, 2274, 11803, 678, 3578, 8393, 2220, 2426, 519, 4949, 324, 593, 623, 5255, 19108, 10543, 269, 6507, 8277, 631, 712, 514, 14833, 814, 9896, 513, 1614, 7146, 8584, 28451, 4458, 4308, 290, 13072, 281, 5192, 1399, 1107, 19928, 12460, 300, 712, 514, 14833, 1185, 1044, 1510, 513, 2816, 2094, 646, 729, 521, 17977, 607, 25480, 2136, 9614, 2063, 5412, 269, 3719, 646, 814, 2283, 14260, 8815, 513, 2132, 547, 519, 20031, 1512, 13477, 1310, 4050, 940, 513, 31417, 11278, 1428, 332, 11669, 8584, 4458, 4579, 2394, 519, 1439, 540, 519, 476, 1708, 273, 270, 2537, 4005, 269, 6546, 779, 5595, 519, 14057, 623, 28970, 1777, 3626, 729, 2219, 547, 581, 15980, 693, 519, 8630, 7868, 476, 6321, 4458, 6040, 1767, 281, 968, 296, 993, 9599, 547, 581, 11836, 513, 11833, 609, 971, 513, 1390, 6561, 543, 971, 13730, 18793, 31422, 763, 2298, 538, 1312, 519, 27805, 543, 519, 30028, 2300, 2572, 803, 31422, 22998, 609, 891, 5716, 568, 1018, 814, 13631, 803, 1848, 8967, 2720, 28579, 2274, 11803, 3773, 281, 968, 1103, 8277, 649, 723, 835, 540, 519, 1034, 3811, 9946, 538, 11176, 31422, 3891, 814, 513, 5763, 540, 1995, 267, 666, 8300, 6887, 543, 568, 513, 1390, 8671, 6509, 269, 1261, 814, 4465, 4378, 2293, 693, 1169, 8630, 646, 814, 1071, 3737, 31422, 2171, 3494, 646, 786, 3142, 1648, 543, 3661, 547, 519, 19703, 4055, 1848, 300, 712, 514, 14833, 568, 1305, 547, 1491, 2866, 2221, 543, 1010, 1101, 6474, 538, 519, 25653, 719, 568, 513, 5023, 22476, 32692, 693, 18979, 30347, 4639, 8621, 593, 14349, 13034, 529, 2427, 1287, 3217, 593, 10493, 13519, 657, 538, 519, 29073, 13477, 543, 25816, 26937, 1926, 1354, 513, 10875, 22653, 542, 693, 6196, 3004, 742, 867, 1996, 25480, 2136, 593, 5412, 476, 275, 7868, 2298, 538, 1312, 519, 27805, 543, 519, 30028, 2300, 2572, 803, 8160, 712, 514, 14833, 593, 11836, 570, 13516, 5069, 2005, 779, 1044, 476, 1556, 26188, 2094, 1975, 2720, 2063, 4465, 513, 4062, 540, 8988, 2264, 543, 2274, 11803, 15069, 11099, 631, 712, 514, 14833, 666, 798, 1018, 623, 28970, 1777, 3626, 8959, 693, 543, 3142, 519, 18710, 2395, 1394, 547, 5087, 5507, 269, 3891, 21128, 693, 519, 8630, 609, 1614, 20031, 1512, 13477, 10643, 267, 606, 14174, 19067, 543, 1614, 13477, 595, 5725, 782, 896, 1010, 12966, 689, 1010, 942, 693, 595, 3559, 22855, 8160, 712, 514, 14833, 849, 24850, 519, 661, 14566, 19067, 543, 16402, 11985, 13477, 693, 25480, 2136, 1247, 10888, 519, 29073, 13477, 593, 1079, 5094, 14026, 609, 5800, 334, 543, 3955, 30912, 2529, 334, 621, 568, 1100, 4898, 2274, 11803, 568, 971, 513, 1279, 3856, 23507, 337, 2348, 1101, 1500, 513, 1847, 547, 6966, 631, 712, 514, 14833, 1394, 538, 476, 1220, 278, 5612, 1310, 646, 729, 521, 17977, 693, 595, 3559, 22855, 269, 3719, 513, 16083, 538, 519, 4579, 5921, 646, 7012, 1406, 4847, 547, 4383, 1776, 20031, 2319, 585, 693, 2547, 1079, 1296, 22338, 1259, 585, 1864, 547, 6443, 3955, 1141, 646, 4465, 519, 1726, 1076, 7868, 333, 538, 476, 1001, 276, 631, 712, 514, 14833, 729, 7688, 7458, 827, 1373, 14059, 950, 646, 10294, 646, 1223, 2760, 4383, 513, 5507, 15180, 269, 3891, 1767, 281, 968, 8133, 269, 594, 7948, 1406, 979, 269, 594, 7948, 1406, 5721, 538, 4789, 585, 1079, 1296, 1848, 296, 1131, 711, 1491, 519, 2816, 1317, 594, 2648, 595, 3559, 22855, 18793, 1932, 1454, 3034, 297, 657, 2946, 631, 712, 514, 14833, 3081, 12312, 779, 11488, 1055, 2048, 2254, 513, 2699, 3556, 685, 1310, 519, 530, 5424, 568, 25323, 585, 16957, 569, 737, 10107, 856, 693, 21293, 681, 6686, 323, 9528, 570, 5588, 307, 2894, 295, 4456, 723, 25778, 3022, 606, 9029, 547, 16765, 1248, 12312, 1261, 2426, 15902, 2699, 3556, 1996, 595, 3559, 22855, 7868, 3162, 9705, 3486, 729, 2366, 1055, 538, 519, 2034, 3368, 540, 519, 476, 273, 268, 271, 14710, 1310, 966, 2752, 12199, 602, 646, 14736, 539, 856, 693, 21293, 23052, 9528, 269, 273, 570, 13516, 5069, 4174, 12027, 12312, 1261, 2426, 5336, 514, 729, 2366, 11325, 1310, 22275, 324, 20900, 13177, 31570, 966, 2752, 290, 13072, 281, 589, 17025, 1607, 10071, 3366, 547, 23052, 9528, 19101, 646, 729, 7292, 569, 26884, 676, 835, 610, 811, 11655, 538, 519, 1753, 1439, 8160, 712, 514, 14833, 9672, 602, 519, 8630, 1131, 9029, 621, 267, 6031, 281, 968, 296, 4126, 12312, 568, 711, 27052, 2947, 2053, 1848, 3080, 942, 729, 519, 28067, 602, 23052, 9528, 1705, 593, 1864, 269, 634, 2034, 568, 547, 581, 2366, 1055, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 891, 3527, 538, 519, 3232, 1646, 563, 763, 4358, 1448, 568, 7114, 543, 1818, 8763, 4145, 602, 616, 1271, 585, 693, 2547, 835, 4759, 540, 519, 2319, 269, 1452, 4145, 666, 581, 540, 1585, 3029, 8720, 513, 1804, 2230, 689, 3376, 11265, 3664, 547, 1970, 1377, 721, 1137, 540, 2029, 269, 7151, 540, 4145, 666, 581, 912, 3519, 1356, 985, 666, 1491, 1082, 3029, 855, 519, 1271, 851, 568, 602, 789, 616, 1271, 585, 2576, 269, 1358, 798, 711, 723, 547, 581, 7493, 610, 5100, 547, 581, 4143, 269, 1306, 4166, 607, 972, 568, 513, 30393, 267, 789, 616, 16048, 1317, 621, 1797, 602, 519, 6161, 536, 4100, 1871, 538, 519, 2796, 540, 519, 1699, 1788, 563, 5629, 519, 2930, 6161, 4857, 267, 1711, 606, 13128, 2638, 518, 267, 543, 11753, 621, 538, 519, 6024, 5610, 7271, 269, 634, 2638, 518, 568, 1454, 899, 513, 1770, 1449, 267, 1152, 585, 4145, 602, 616, 711, 827, 10342, 269, 634, 2319, 2115, 1312, 519, 5578, 267, 543, 513, 2930, 5989, 547, 798, 713, 269, 631, 5366, 568, 835, 971, 5989, 563, 9336, 1485, 267, 519, 2319, 6585, 513, 2110, 2930, 4879, 1796, 5346, 547, 1865, 519, 19374, 540, 519, 4145, 269, 901, 568, 711, 547, 581, 11821, 609, 519, 2834, 1796, 5346, 5870, 269, 634, 4879, 1796, 5346, 1152, 3322, 519, 8030, 1317, 519, 4901, 2115, 547, 581, 7184, 2930, 547, 581, 2500, 563, 763, 1796, 5346, 814, 513, 2241, 9161, 269, 3689, 267, 519, 4879, 4863, 1807, 6257, 519, 4145, 540, 519, 1554, 269, 25175, 666, 4161, 513, 6161, 269, 769, 713, 2013, 267, 519, 6161, 568, 23503, 543, 519, 3119, 3197, 616, 519, 1971, 518, 543, 519, 30393, 540, 519, 6161, 630, 8145, 1897, 602, 513, 6161, 6818, 1152, 952, 621, 814, 513, 30393, 1040, 634, 1267, 666, 581, 835, 540, 1614, 912, 5629, 519, 6161, 568, 8815, 2390, 267, 519, 4901, 568, 5059, 593, 7114, 519, 3527, 2877, 547, 6439, 1518, 519, 2042, 1644, 547, 621, 269, 901, 4901, 1590, 1205, 1808, 676, 2469, 998, 519, 4890, 3009, 4025, 602, 1459, 519, 1966, 269, 901, 568, 519, 4090, 950, 3009, 2542, 3587, 1271, 547, 4308, 609, 519, 2370, 3877, 563, 4407, 519, 1292, 3804, 568, 547, 1205, 547, 3527, 267, 519, 6456, 3804, 540, 713, 3635, 568, 547, 3262, 519, 1702, 827, 1271, 3664, 543, 547, 948, 519, 2319, 3914, 513, 13618, 269, 769, 519, 6264, 10325, 540, 1919, 267, 2436, 513, 6161, 568, 23380, 730, 610, 711, 267, 568, 1454, 1447, 4143, 982, 519, 1164, 1377, 7440, 602, 616, 5941, 1472, 621, 269, 1452, 616, 519, 1360, 3664, 540, 799, 519, 2949, 1374, 543, 6189, 568, 1500, 540, 267, 543, 713, 568, 1018, 4991, 547, 581, 5941, 563, 7661, 267, 950, 519, 2319, 6487, 519, 2619, 540, 3527, 547, 2953, 519, 3510, 267, 519, 4674, 568, 6059, 269, 10819, 602, 2154, 513, 1713, 4674, 267, 616, 14593, 593, 519, 1394, 8421, 547, 581, 9709, 585, 267, 865, 547, 711, 15936, 609, 519, 2949, 3804, 540, 519, 21767, 269, 1717, 267, 1507, 4247, 1205, 6378, 538, 519, 1482, 1554, 269, 589, 4305, 568, 2808, 1507, 952, 621, 666, 581, 12193, 538, 513, 2110, 2179, 540, 942, 630, 20200, 1227, 476, 1428, 3764, 1916, 288, 9670, 1297, 540, 6161, 19374, 616, 1151, 15344, 538, 1447, 1287, 476, 1428, 3764, 269, 12344, 513, 1362, 2115, 547, 581, 26948, 267, 610, 581, 6410, 538, 1776, 10189, 269, 9320, 519, 7817, 3009, 568, 10912, 513, 4357, 7746, 5057, 267, 3079, 540, 519, 3370, 16286, 269, 2107, 5310, 606, 14391, 566, 1281, 711, 723, 519, 1318, 6724, 563, 25444, 814, 476, 1428, 3764, 269, 1403, 4247, 1205, 547, 581, 30341, 538, 25098, 540, 1447, 982, 476, 1428, 3764, 602, 1869, 2709, 930, 4743, 540, 3356, 267, 1919, 1205, 6378, 269, 1656, 952, 7368, 3232, 267, 789, 1205, 6378, 782, 519, 942, 563, 2171, 991, 16419, 2645, 602, 1683, 13865, 5955, 269, 2290, 2601, 9695, 4255, 616, 865, 3730, 568, 602, 789, 1683, 13865, 5955, 269, 898, 1131, 581, 1390, 547, 1711, 4879, 2645, 1175, 899, 649, 1631, 1711, 4255, 269, 634, 1152, 8373, 568, 602, 519, 1942, 540, 2679, 971, 2645, 568, 1932, 1164, 269, 2107, 693, 2547, 621, 568, 9228, 547, 581, 267, 2523, 952, 596, 723, 547, 2328, 873, 689, 15072, 269, 589, 1647, 2666, 666, 581, 1336, 676, 2348, 513, 3760, 2390, 799, 891, 2645, 666, 581, 3710, 269, 14301, 689, 519, 4152, 6252, 267, 649, 1131, 991, 519, 5330, 550, 540, 606, 1535, 16215, 6438, 3760, 563, 300, 5366, 568, 971, 513, 3760, 602, 729, 22885, 4010, 547, 8897, 519, 2679, 540, 2347, 543, 16419, 4879, 2645, 269, 2755, 631, 5366, 8214, 956, 519, 1966, 540, 4879, 11451, 267, 4470, 593, 519, 3804, 596, 666, 723, 824, 3435, 267, 1932, 269, 1280, 1383, 267, 585, 13214, 532, 596, 666, 946, 1257, 2861, 3283, 899, 6067, 335, 610, 811, 1950, 3283, 602, 4308, 609, 589, 4306, 1344, 899, 6751, 291, 269, 4635, 5867, 899, 891, 2306, 1907, 2679, 4052, 563, 5629, 596, 1852, 971, 606, 5989, 267, 2679, 513, 1507, 2079, 1907, 3790, 3592, 4642, 269, 2334, 568, 2523, 952, 596, 5635, 519, 2679, 3790, 609, 519, 3790, 10710, 676, 1210, 519, 1907, 563, 4913, 267, 835, 1942, 1869, 3788, 543, 621, 1058, 711, 581, 3144, 21066, 269, 3807, 899, 538, 519, 2013, 540, 1770, 4152, 267, 519, 6574, 4161, 568, 547, 6521, 519, 1533, 540, 2247, 689, 1018, 547, 798, 267, 547, 875, 547, 798, 1018, 547, 798, 563, 4263, 1101, 621, 1522, 581, 804, 636, 1910, 267, 855, 607, 596, 1205, 1031, 609, 6024, 543, 13865, 5955, 786, 1205, 596, 554, 10541, 563, 9617, 2285, 621, 513, 2119, 269, 2274, 777, 269, 11545, 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 ]
[ 267, 610, 562, 5788, 630, 333, 268, 272, 264, 5788, 630, 333, 268, 273, 264, 2507, 263, 272, 26895, 634, 1297, 540, 3541, 1052, 906, 540, 513, 1305, 540, 562, 2609, 267, 799, 649, 2328, 667, 333, 267, 568, 2016, 676, 692, 1607, 5654, 1279, 543, 7294, 267, 855, 513, 2370, 11810, 666, 2569, 621, 547, 606, 3830, 602, 568, 1360, 267, 1360, 2653, 547, 946, 1384, 8489, 1384, 1892, 634, 4009, 31455, 267, 1496, 476, 3910, 568, 519, 2048, 928, 11732, 8870, 1599, 8730, 513, 1599, 799, 21448, 8726, 568, 3330, 519, 23049, 547, 519, 14282, 8870, 563, 1892, 968, 324, 892, 568, 1109, 292, 17526, 779, 1297, 780, 763, 1297, 540, 3541, 1052, 906, 568, 3006, 849, 2854, 607, 8206, 333, 267, 543, 1287, 568, 1572, 519, 1109, 11357, 2399, 3645, 780, 14300, 540, 14216, 1052, 906, 10819, 692, 763, 4542, 1657, 2636, 721, 547, 4194, 811, 3238, 2055, 899, 267, 968, 306, 1460, 1053, 5116, 741, 11436, 538, 835, 9126, 543, 1287, 782, 10544, 5523, 835, 856, 14477, 269, 1548, 568, 519, 10171, 602, 1100, 835, 1131, 1205, 1010, 1378, 6049, 9495, 692, 763, 1297, 540, 2009, 32545, 538, 713, 2013, 568, 476, 277, 29755, 610, 476, 277, 5788, 476, 276, 5788, 476, 275, 5788, 476, 274, 5788, 476, 273, 5788, 476, 272, 284, 476, 24798, 269, 634, 1297, 540, 2009, 3541, 1052, 906, 568, 1496, 277, 24425, 324, 3910, 610, 476, 25228, 269, 1924, 519, 5506, 602, 1100, 835, 1131, 1205, 741, 1378, 6049, 568, 476, 25228, 270, 24798, 267, 610, 476, 3607, 2600, 780, 27066, 692, 272, 269, 23759, 517, 267, 8834, 269, 700, 624, 999, 593, 14216, 1052, 906, 0, 258, 589, 12213, 667, 633, 883, 519, 1035, 657, 3890, 9577, 585, 17270, 20211, 15328, 1149, 538, 5124, 692, 763, 2387, 659, 657, 13237, 1599, 689, 5124, 30778, 2979, 9074, 568, 513, 2241, 2943, 3532, 1907, 585, 7384, 9095, 25482, 2418, 269, 769, 713, 3102, 267, 538, 3829, 3391, 267, 649, 8072, 961, 3382, 3388, 596, 991, 547, 917, 547, 15407, 2387, 659, 657, 13237, 3927, 538, 707, 5124, 3292, 780, 1012, 1548, 568, 519, 20211, 15328, 710, 543, 7316, 568, 1035, 657, 3890, 13242, 2496, 763, 9095, 25482, 4564, 519, 5086, 1063, 476, 271, 543, 12631, 32494, 4171, 25482, 568, 3160, 547, 519, 3403, 1871, 269, 6250, 1302, 267, 593, 519, 1770, 5858, 267, 621, 3947, 519, 5086, 593, 519, 1535, 14289, 7222, 547, 519, 3403, 25482, 1871, 593, 519, 586, 14289, 1384, 314, 13312, 8183, 540, 1770, 5858, 6029, 9095, 25482, 6540, 4467, 1584, 532, 9095, 5430, 1149, 814, 1082, 3730, 3156, 538, 2257, 543, 6128, 1384, 1892, 15531, 7285, 538, 12730, 1210, 519, 1876, 540, 5430, 1149, 454, 1892, 29626, 6125, 7285, 538, 7636, 3889, 538, 7998, 454, 1892, 21290, 1788, 850, 5163, 6323, 2042, 454, 1892, 17270, 29398, 543, 16755, 538, 11810, 454, 1892, 9198, 908, 12345, 585, 12449, 17021, 9817, 692, 8489, 591, 596, 991, 547, 28879, 3313, 606, 5086, 689, 513, 25482, 1871, 267, 1035, 657, 3890, 666, 2097, 538, 13561, 269, 2913, 30778, 1413, 1985, 693, 875, 547, 946, 5124, 30778, 6388, 780, 1012, 4635, 5124, 30778, 1035, 657, 3890, 9577, 692, 763, 1035, 657, 3890, 1599, 2729, 538, 5124, 30778, 2979, 9074, 267, 865, 596, 8072, 961, 991, 547, 1104, 621, 1384, 1730, 5814, 2979, 1730, 692, 10190, 1289, 1035, 657, 3890, 543, 1780, 538, 519, 25482, 1871, 596, 1616, 519, 5086, 585, 1384, 1730, 4120, 318, 2784, 2103, 815, 2979, 28482, 657, 263, 271, 269, 276, 264, 1730, 692, 1607, 786, 2132, 519, 5086, 538, 32494, 1063, 476, 271, 543, 12631, 4171, 25482, 568, 476, 271, 269, 276, 780, 288, 1906, 1271, 4967, 593, 11378, 1384, 1892, 634, 4570, 6389, 568, 910, 272, 10922, 1535, 10922, 476, 272, 269, 18880, 3544, 713, 2039, 786, 9594, 513, 28759, 563, 1892, 1035, 657, 263, 271, 264, 786, 2132, 12631, 270, 273, 32494, 630, 3445, 5232, 994, 1892, 1035, 657, 263, 272, 264, 786, 2132, 476, 271, 32494, 630, 271, 5232, 2020, 4131, 30778, 1294, 930, 1806, 1384, 18606, 5814, 2979, 692, 2745, 263, 4118, 28482, 657, 263, 271, 269, 276, 4917, 258, 476, 272, 269, 271, 5325, 3192, 4649, 272, 3422, 6795, 278, 280, 692, 2745, 263, 4118, 28482, 657, 263, 271, 4917, 258, 476, 272, 269, 31816, 8064, 277, 30444, 8064, 275, 8660, 277, 277, 692, 2745, 263, 4118, 28482, 657, 8987, 273, 4917, 258, 28759, 281, 2979, 6389, 5470, 32526, 2414, 6460, 519, 3977, 32494, 547, 5232, 267, 596, 666, 3274, 946, 2979, 6155, 1122, 4181, 3890, 1384, 18606, 2745, 263, 4118, 6155, 1122, 4181, 263, 4118, 28482, 657, 263, 271, 269, 276, 21875, 258, 476, 2568, 269, 271, 32526, 1607, 2306, 621, 2653, 547, 960, 609, 519, 4559, 596, 991, 780, 1012, 20556, 547, 4033, 26344, 6248, 12793, 692, 763, 1035, 657, 3890, 1599, 568, 5702, 13615, 547, 824, 25066, 3252, 538, 5124, 30778, 2979, 9074, 1384, 1892, 1035, 657, 3287, 264, 815, 607, 514, 263, 18414, 263, 272, 1107, 1535, 317, 273, 11723, 1892, 769, 2091, 2078, 1063, 9095, 25482, 543, 9095, 20534, 454, 1892, 1035, 657, 3287, 264, 1341, 607, 514, 3287, 264, 815, 12631, 270, 273, 692, 1892, 5681, 540, 14911, 7285, 454, 1892, 693, 534, 273, 263, 18414, 263, 272, 1107, 1535, 317, 273, 1070, 1535, 264, 815, 1035, 657, 3287, 2020, 1892, 693, 534, 273, 3890, 666, 12337, 9095, 25482, 454, 1892, 1035, 657, 6262, 657, 3287, 4297, 815, 1535, 692, 1892, 1035, 657, 3890, 9060, 519, 3312, 5086, 689, 25482, 692, 8139, 891, 3347, 2337, 2744, 6310, 5813, 883, 875, 1035, 657, 3890, 31136, 780, 314, 25147, 12222, 267, 1806, 267, 543, 3009, 12612, 11744, 519, 1657, 3347, 6540, 1012, 17270, 20211, 15328, 710, 9453, 1035, 657, 10797, 4407, 1035, 657, 3890, 2488, 513, 2973, 1259, 547, 1205, 519, 9095, 25482, 267, 621, 30778, 849, 2009, 547, 12337, 621, 16924, 1510, 10912, 519, 5399, 1599, 780, 2080, 568, 835, 1935, 1384, 272, 269, 6744, 3403, 568, 4570, 538, 2039, 910, 272, 10922, 1535, 10922, 476, 272, 454, 273, 269, 19461, 1125, 1267, 5086, 607, 476, 271, 454, 274, 269, 2422, 513, 8520, 547, 27261, 958, 4188, 1267, 1759, 593, 1871, 540, 5430, 31114, 994, 275, 269, 1879, 5430, 31114, 264, 568, 18481, 2673, 547, 519, 3403, 1535, 267, 2132, 1267, 692, 1607, 1939, 525, 1035, 657, 3287, 264, 676, 12055, 8271, 17975, 519, 1267, 5086, 2394, 922, 25482, 11224, 1535, 1369, 606, 11807, 14345, 540, 5470, 780, 2080, 568, 3732, 5124, 3009, 7598, 713, 5690, 1384, 314, 25147, 3009, 1383, 6540, 4407, 711, 607, 3608, 607, 519, 3710, 2987, 1599, 267, 713, 9727, 875, 1035, 657, 3890, 666, 581, 17223, 689, 1101, 3741, 780, 1012, 10241, 4635, 1035, 657, 10797, 5278, 1806, 540, 7311, 1035, 657, 3890, 585, 1483, 8996, 3156, 1384, 30125, 692, 1892, 7844, 476, 273, 291, 1788, 850, 5163, 676, 12719, 10131, 5086, 1210, 1035, 657, 4590, 1892, 14419, 5086, 540, 8086, 270, 10915, 3555, 950, 1769, 10596, 1063, 2923, 454, 1892, 30770, 14965, 3196, 10321, 1759, 593, 1843, 7158, 692, 20877, 923, 692, 1892, 14105, 16439, 585, 17021, 476, 274, 291, 10207, 1210, 1035, 657, 3890, 547, 12337, 18422, 7285, 454, 1892, 17317, 12147, 5352, 8544, 1127, 543, 18282, 609, 3131, 4802, 6846, 1210, 1035, 657, 4590, 1892, 18140, 25066, 3252, 543, 4159, 5951, 13257, 1210, 1035, 657, 10797, 10574, 3163, 692, 1892, 18926, 2079, 540, 16070, 1239, 1210, 4287, 531, 7194, 1759, 593, 1035, 657, 4590, 1892, 1849, 13831, 1239, 1210, 25482, 16726, 267, 17223, 3842, 1035, 657, 3890, 540, 12297, 2472, 454, 1892, 10724, 1565, 3631, 585, 17782, 6125, 7285, 538, 7636, 14449, 692, 4322, 616, 1175, 513, 1906, 1806, 1107, 1035, 657, 3890, 666, 581, 4294, 538, 1022, 6389, 1141, 7421, 16070, 1239, 568, 2877, 269, 634, 1883, 568, 11837, 707, 1966, 1239, 547, 25482, 2418, 602, 666, 581, 5293, 883, 1035, 657, 3890, 780, 314, 17809, 728, 3009, 1806, 11744, 930, 540, 519, 1657, 3156, 6540, 1012, 6613, 20143, 853, 1464, 543, 30059, 692, 2691, 7384, 9095, 5430, 1149, 538, 2259, 267, 621, 30778, 1271, 547, 581, 13533, 540, 13735, 1448, 8856, 6959, 269, 3807, 899, 609, 1022, 25066, 1599, 267, 6959, 666, 18645, 4929, 25619, 2164, 780, 2080, 616, 930, 4388, 585, 4509, 25948, 6617, 1384, 1892, 2422, 8918, 9074, 585, 2362, 8856, 952, 2877, 454, 1892, 31207, 856, 23380, 856, 540, 2039, 3403, 2418, 454, 1892, 7435, 548, 6316, 2665, 899, 1035, 657, 263, 272, 264, 543, 1035, 657, 263, 271, 264, 12799, 454, 1892, 17677, 2638, 2418, 2282, 476, 271, 543, 12631, 270, 273, 585, 6959, 454, 1892, 6333, 4645, 3961, 960, 541, 2432, 547, 2057, 8856, 2152, 454, 1892, 4406, 28371, 2164, 1118, 2631, 585, 707, 1808, 1966, 6389, 692, 303, 11691, 3007, 547, 891, 12204, 540, 10230, 13946, 1846, 786, 2327, 707, 9095, 25482, 26398, 616, 607, 7347, 543, 4977, 607, 2009, 780, 314, 17809, 728, 3009, 1806, 7598, 930, 540, 519, 1657, 1655, 2853, 6540, 1012, 10390, 692, 763, 1035, 657, 3890, 1599, 2488, 606, 2653, 1259, 547, 12337, 9095, 5430, 1149, 538, 5124, 269, 769, 713, 3391, 267, 649, 4988, 3388, 689, 519, 6310, 9238, 267, 547, 4052, 6165, 267, 547, 4359, 3156, 14139, 1035, 657, 3890, 585, 16070, 9273, 269, 6787, 596, 991, 547, 1265, 606, 5086, 538, 513, 6906, 267, 4729, 1950, 4834, 267, 610, 18422, 10250, 476, 274, 291, 12449, 267, 1035, 657, 3890, 814, 596, 4988, 269, 2060, 519, 2553, 5941, 1934, 267, 596, 8072, 961, 581, 2111, 547, 15407, 1035, 657, 3890, 899, 513, 5124, 605, 2439, 9928, 2651, 547, 5440, 0, 258, 7726, 281, 1215, 1684, 1411, 8073, 589, 16754, 1280, 589, 6751, 307, 9577, 2496, 1012, 1215, 798, 596, 5173, 6751, 307, 676, 1688, 2496, 2414, 4137, 707, 20251, 8569, 267, 1376, 676, 14291, 707, 5993, 1719, 2557, 547, 513, 10865, 1719, 2557, 676, 12270, 676, 476, 1321, 780, 9202, 267, 1039, 476, 272, 547, 519, 10865, 2557, 780, 23612, 267, 9062, 519, 1297, 540, 1296, 538, 519, 2165, 540, 519, 20251, 676, 476, 1321, 547, 5173, 519, 1297, 540, 10865, 11033, 596, 3580, 1118, 269, 780, 1012, 1548, 568, 14346, 538, 9185, 2496, 11901, 267, 835, 540, 519, 2883, 3252, 267, 21410, 519, 1459, 1871, 540, 513, 10211, 610, 606, 5092, 267, 1759, 593, 513, 3586, 1719, 2557, 269, 2560, 2422, 519, 9185, 16754, 3213, 778, 547, 1265, 519, 1459, 1871, 630, 5979, 534, 2179, 264, 596, 666, 6488, 267, 1759, 593, 513, 1305, 10865, 8569, 269, 2311, 519, 1482, 942, 267, 596, 3580, 1451, 875, 547, 946, 519, 14346, 1599, 538, 513, 4542, 780, 1012, 1548, 568, 519, 10865, 8569, 4542, 2496, 2414, 5173, 519, 10865, 8569, 267, 6460, 21159, 547, 8918, 3898, 267, 1287, 1246, 519, 4542, 281, 513, 281, 476, 1911, 267, 1822, 267, 519, 2179, 540, 519, 10211, 269, 678, 281, 476, 271, 269, 22650, 630, 277, 260, 5993, 2557, 1765, 10339, 5962, 607, 476, 271, 269, 6187, 1765, 323, 22866, 676, 476, 1321, 10865, 11033, 829, 1032, 264, 562, 281, 476, 11740, 630, 1321, 10865, 11033, 829, 1032, 2053, 476, 1789, 1296, 2020, 1012, 1548, 568, 519, 10865, 8569, 593, 513, 476, 1911, 1822, 10211, 2496, 2304, 1383, 281, 1403, 707, 20251, 3666, 6238, 856, 693, 8096, 1911, 267, 1822, 543, 707, 10211, 568, 2854, 693, 476, 276, 260, 1719, 267, 519, 476, 1789, 4458, 2165, 3340, 513, 10865, 8569, 540, 8096, 276, 3607, 269, 10695, 269, 3683, 476, 1789, 1296, 267, 519, 2698, 540, 782, 11033, 8591, 909, 547, 1175, 896, 8096, 4350, 267, 28796, 269, 2334, 779, 513, 476, 11152, 260, 14167, 538, 1719, 11033, 2443, 593, 1283, 540, 519, 20251, 3666, 780, 1012, 1215, 798, 4308, 619, 4721, 5173, 10865, 8569, 2496, 2791, 666, 849, 946, 513, 10211, 9498, 538, 938, 1863, 31066, 1942, 1867, 267, 799, 5654, 899, 713, 281, 10691, 292, 281, 898, 786, 711, 1491, 883, 2272, 707, 7858, 7007, 3902, 256, 2507, 15612, 908, 16010, 9796, 906, 269, 11749, 1132, 15612, 725, 28350, 815, 476, 2568, 3275, 12507, 628, 569, 32237, 630, 31936, 9314, 264, 815, 8096, 2420, 267, 276, 3445, 1535, 630, 271, 269, 24879, 273, 1315, 630, 272, 1107, 630, 272, 1341, 476, 271, 269, 24879, 273, 8203, 268, 2568, 3275, 264, 815, 8096, 26493, 269, 3199, 274, 811, 9343, 692, 1012, 1879, 1131, 596, 946, 519, 6751, 307, 1599, 538, 9185, 2496, 2108, 15014, 307, 892, 6763, 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 ]
[ 6355, 31834, 540, 7926, 5004, 281, 589, 8466, 8865, 5530, 540, 519, 1325, 325, 516, 2023, 24250, 1342, 902, 11635, 4103, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1686, 540, 519, 1325, 325, 516, 2023, 24250, 1342, 902, 11635, 4103, 267, 6313, 875, 922, 1646, 6766, 5026, 543, 18883, 538, 519, 2199, 2146, 543, 8032, 2680, 2359, 2853, 602, 616, 1869, 4143, 2221, 269, 3414, 3695, 519, 3140, 2796, 540, 22713, 543, 6283, 7760, 267, 649, 786, 4983, 1883, 1870, 3344, 971, 607, 6725, 267, 13384, 11208, 267, 543, 2146, 6278, 269, 1284, 786, 849, 1865, 4207, 2152, 538, 2680, 2359, 267, 5373, 4296, 1063, 2250, 543, 1459, 2853, 780, 296, 269, 11633, 7169, 17461, 454, 2414, 1174, 519, 4644, 540, 519, 1325, 325, 516, 2023, 24250, 1342, 902, 11635, 4103, 267, 621, 781, 1898, 1101, 547, 9787, 519, 6626, 14227, 5251, 1282, 519, 3735, 476, 1240, 628, 543, 2038, 476, 866, 628, 5553, 9789, 1974, 1419, 2404, 609, 519, 11633, 7169, 269, 4438, 713, 942, 267, 4028, 6639, 5647, 3366, 547, 2799, 2504, 7207, 543, 4683, 7269, 267, 13321, 2757, 989, 337, 4115, 7239, 883, 2413, 4853, 3283, 630, 289, 1120, 1299, 23747, 267, 476, 1960, 273, 1040, 2060, 891, 2242, 3357, 1312, 3255, 543, 2591, 585, 4213, 5275, 8013, 5383, 1247, 23695, 547, 6932, 7082, 7569, 269, 769, 938, 2013, 1353, 267, 649, 3513, 1294, 875, 4824, 6283, 5989, 5129, 513, 2629, 1909, 538, 5935, 519, 1967, 543, 4720, 540, 519, 11635, 4103, 780, 2862, 269, 19715, 543, 18815, 454, 2691, 519, 11635, 4103, 941, 7620, 3964, 2282, 1325, 325, 516, 2023, 267, 789, 16941, 8185, 593, 519, 595, 668, 5112, 22575, 585, 24317, 5370, 269, 1717, 267, 18213, 543, 13875, 2533, 1152, 6603, 607, 2484, 607, 1325, 325, 516, 2023, 3294, 267, 26089, 3606, 2951, 12417, 585, 4600, 543, 14273, 269, 901, 11460, 30174, 2394, 519, 12625, 540, 519, 7841, 1811, 538, 7404, 623, 6614, 15167, 538, 476, 7277, 278, 282, 5103, 713, 16133, 267, 13875, 4797, 547, 581, 9859, 998, 1325, 325, 516, 2023, 2394, 1454, 2663, 538, 519, 476, 736, 628, 2540, 780, 1607, 1383, 12651, 1896, 2565, 9270, 3823, 4087, 5542, 543, 6283, 17825, 950, 12180, 2621, 269, 1280, 3236, 267, 24990, 1590, 9260, 10333, 1996, 1942, 950, 7446, 28503, 267, 4180, 7850, 1857, 6283, 3681, 610, 18736, 6703, 269, 3958, 267, 20314, 1890, 4566, 1058, 2272, 585, 1761, 21463, 267, 971, 607, 4155, 5008, 999, 610, 1651, 2211, 4365, 267, 799, 1223, 1764, 20343, 543, 2949, 1995, 269, 1635, 4974, 3140, 9551, 757, 899, 1346, 5185, 676, 519, 11635, 4103, 267, 2413, 2680, 9946, 666, 1732, 18783, 543, 6330, 2147, 2591, 780, 7656, 269, 7991, 22580, 543, 1975, 976, 11208, 454, 2026, 2872, 3401, 1369, 741, 3148, 267, 519, 744, 1389, 1920, 29937, 539, 1713, 3310, 936, 2199, 12602, 269, 4256, 9525, 6905, 3564, 6071, 9562, 540, 519, 11635, 4103, 267, 21214, 7341, 971, 607, 519, 10661, 540, 513, 1007, 3154, 1568, 538, 476, 6642, 279, 269, 6270, 18129, 6542, 519, 2956, 540, 9746, 1514, 5539, 630, 5425, 305, 264, 543, 2146, 6278, 538, 5807, 2318, 3347, 1063, 4213, 543, 741, 4478, 2127, 269, 4653, 267, 3549, 5051, 5431, 519, 1871, 540, 26936, 2933, 609, 3123, 602, 13469, 609, 3077, 9458, 267, 16107, 3838, 2418, 547, 3986, 6216, 10639, 543, 6075, 14017, 630, 300, 5218, 534, 1696, 620, 1421, 476, 1220, 276, 6393, 30631, 25696, 666, 2721, 6667, 689, 713, 1935, 676, 6220, 2609, 540, 11483, 305, 883, 741, 4058, 2994, 269, 3487, 333, 1359, 609, 2199, 3906, 267, 5885, 26988, 3123, 267, 610, 5009, 6940, 3646, 666, 1711, 6209, 2833, 602, 8831, 3564, 2241, 9913, 267, 7700, 3079, 547, 6626, 6848, 3853, 269, 5047, 267, 971, 10319, 26136, 949, 5352, 1434, 15884, 543, 6536, 1279, 3856, 12352, 267, 27548, 8994, 2640, 585, 782, 6105, 3238, 780, 4353, 269, 16373, 543, 15952, 14740, 454, 9961, 922, 6228, 267, 519, 11635, 4103, 23384, 1585, 2012, 2242, 267, 10452, 13346, 11994, 540, 922, 3961, 543, 4276, 547, 519, 4478, 2950, 269, 21231, 1634, 607, 519, 1325, 325, 516, 2023, 11635, 4103, 267, 621, 5555, 7550, 519, 1395, 32304, 681, 1342, 902, 11635, 4103, 267, 4553, 676, 681, 1342, 902, 5853, 787, 1310, 4401, 14708, 30403, 538, 476, 4572, 277, 269, 1452, 13289, 9414, 519, 6422, 2470, 540, 6216, 9163, 543, 519, 991, 585, 6024, 9542, 547, 2226, 10083, 543, 9029, 780, 17457, 2680, 2344, 619, 3068, 13380, 2591, 538, 13167, 8903, 6386, 602, 7001, 5304, 3007, 9624, 5051, 804, 18636, 1229, 2923, 8916, 269, 22034, 9423, 2553, 267, 23913, 1437, 725, 267, 543, 1239, 12454, 4030, 666, 948, 2759, 998, 519, 6846, 267, 2870, 3929, 4296, 602, 5397, 19044, 6455, 267, 25584, 16306, 267, 543, 2262, 6361, 2173, 1926, 13319, 269, 5015, 267, 14237, 2178, 12352, 609, 4623, 6203, 267, 28245, 267, 610, 19002, 5605, 817, 611, 832, 666, 22937, 17258, 543, 15287, 547, 2621, 267, 7586, 4328, 3914, 543, 7393, 2949, 1764, 780, 309, 269, 12634, 12983, 538, 7926, 5004, 454, 7661, 267, 649, 3513, 2263, 1896, 10296, 4145, 4867, 6849, 519, 2680, 2359, 5823, 267, 6236, 875, 4245, 4121, 689, 519, 1325, 325, 516, 2023, 24250, 1342, 902, 11635, 4103, 1522, 1217, 1655, 2853, 269, 6206, 3584, 1331, 1981, 2359, 267, 6433, 10618, 267, 2029, 5610, 267, 543, 4763, 267, 9698, 267, 543, 10014, 630, 14701, 261, 296, 17107, 265, 11485, 5004, 281, 4165, 4602, 908, 1761, 4220, 543, 3384, 3617, 17846, 2994, 568, 4105, 585, 17420, 5171, 267, 5234, 267, 543, 4715, 2209, 7567, 269, 14301, 2390, 3140, 1806, 267, 2413, 2680, 24990, 666, 30082, 2232, 3106, 4145, 267, 4180, 5347, 4238, 543, 4509, 3972, 1851, 8639, 563, 265, 19822, 18058, 281, 13229, 6433, 2359, 3340, 2312, 267, 13801, 20261, 9447, 16425, 998, 3617, 9055, 269, 24356, 2250, 6114, 547, 27644, 6381, 666, 2709, 3407, 5583, 585, 10188, 2104, 16839, 267, 8497, 8088, 1049, 8699, 543, 10893, 2942, 2887, 719, 563, 265, 5303, 16949, 281, 16871, 5499, 4066, 971, 607, 21284, 4641, 630, 2752, 1070, 5691, 4641, 630, 23623, 1070, 5841, 4987, 630, 9590, 1070, 610, 9893, 666, 3648, 3986, 3593, 2833, 1247, 6908, 23164, 10512, 31931, 269, 24167, 3811, 30582, 2066, 6080, 666, 1683, 5813, 883, 6099, 3156, 543, 6388, 28868, 563, 265, 16844, 267, 24054, 267, 543, 29621, 281, 674, 29183, 3309, 543, 8537, 5054, 5849, 12581, 6041, 2066, 4008, 267, 5198, 267, 2085, 267, 2702, 267, 543, 824, 7516, 267, 6038, 3056, 547, 21950, 2833, 543, 6626, 2344, 9029, 269, 14484, 532, 593, 3140, 31716, 543, 741, 5571, 5222, 666, 3391, 3646, 2509, 3152, 13784, 267, 30364, 1312, 1367, 2621, 543, 2486, 693, 1804, 780, 6962, 454, 3528, 3695, 519, 4241, 1686, 540, 519, 1325, 325, 516, 2023, 24250, 1342, 902, 11635, 4103, 998, 519, 7828, 540, 7328, 543, 18883, 267, 713, 1576, 1770, 814, 25139, 3875, 19320, 1063, 2250, 543, 1459, 1870, 3344, 540, 2680, 2359, 269, 3245, 6283, 17825, 547, 2146, 6278, 267, 6725, 2994, 547, 4207, 2591, 267, 519, 11635, 4103, 6763, 607, 513, 15266, 547, 519, 11972, 1379, 540, 5698, 267, 13916, 267, 543, 22509, 697, 538, 6117, 1967, 269, 1635, 8508, 891, 4295, 3741, 267, 2413, 2680, 4648, 666, 3136, 11319, 6302, 267, 12419, 12300, 2833, 602, 25407, 9458, 543, 4734, 9434, 23543, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2690, 1082, 1296, 267, 519, 2012, 540, 519, 11635, 4103, 729, 5219, 547, 607, 519, 1325, 325, 516, 2023, 11635, 4103, 269, 1879, 519, 1568, 941, 3964, 538, 519, 2038, 476, 5197, 271, 779, 519, 25110, 4884, 540, 1325, 325, 516, 2023, 729, 519, 14282, 1448, 585, 2792, 609, 519, 3544, 1158, 269, 634, 595, 668, 5112, 22575, 729, 1031, 547, 3560, 5370, 267, 855, 519, 13875, 543, 18213, 19393, 11074, 693, 519, 19664, 26735, 543, 6723, 23392, 538, 1325, 325, 516, 2023, 269, 901, 3510, 1705, 711, 1689, 2394, 519, 12625, 540, 519, 7841, 1811, 547, 623, 6614, 15167, 538, 476, 7277, 278, 267, 543, 1256, 1287, 782, 13875, 729, 5645, 998, 547, 1325, 325, 516, 2023, 269, 898, 729, 711, 2394, 2663, 538, 519, 476, 736, 628, 2540, 602, 519, 4087, 2968, 811, 4122, 5219, 547, 607, 519, 681, 1342, 902, 11635, 4103, 267, 543, 1310, 4401, 1818, 8737, 538, 476, 4572, 277, 267, 519, 681, 1342, 902, 5853, 787, 269, 901, 1689, 729, 4440, 1813, 547, 519, 3310, 540, 519, 744, 1389, 1920, 267, 945, 5030, 693, 681, 1342, 902, 5600, 269, 6736, 519, 2012, 267, 2705, 267, 519, 11635, 4103, 729, 4092, 538, 519, 18296, 540, 623, 6614, 15167, 563, 763, 1198, 602, 519, 744, 1389, 1920, 1185, 538, 519, 1858, 666, 581, 2938, 609, 519, 5250, 540, 513, 1007, 3154, 1568, 538, 476, 6642, 279, 267, 13883, 2066, 519, 645, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9501, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 6355, 31834, 1315, 7926, 5004, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 1185, 930, 8373, 1620, 707, 3659, 781, 3158, 950, 1352, 10272, 2063, 3018, 269, 1772, 602, 3020, 2496, 7692, 281, 23010, 267, 7705, 269, 898, 781, 2731, 2182, 1317, 1352, 3085, 1405, 3717, 2296, 1134, 267, 543, 649, 723, 1114, 10080, 269, 594, 1616, 547, 581, 16614, 855, 3006, 621, 781, 14845, 780, 8334, 281, 2334, 666, 581, 9157, 269, 1809, 798, 596, 917, 972, 781, 1945, 1572, 2686, 16169, 602, 1223, 948, 721, 1174, 1142, 824, 1732, 2496, 7692, 281, 8836, 1018, 1631, 2496, 8334, 281, 8836, 16169, 1797, 1565, 827, 2576, 3116, 781, 2528, 865, 649, 666, 5968, 543, 960, 1927, 811, 3927, 269, 6145, 6616, 602, 538, 1200, 2197, 267, 6031, 9811, 1522, 1611, 834, 296, 5873, 596, 2437, 3079, 540, 834, 296, 3858, 609, 596, 1701, 1924, 952, 1352, 3081, 9811, 1282, 513, 6643, 267, 1810, 1405, 8263, 1352, 23216, 609, 3388, 596, 2161, 780, 7692, 281, 7937, 267, 15502, 256, 2334, 2306, 2631, 269, 1548, 827, 950, 649, 2911, 827, 2564, 8631, 899, 1250, 3659, 781, 3158, 17596, 2638, 5725, 286, 2701, 4667, 18901, 540, 7189, 1934, 780, 8334, 281, 4270, 267, 6148, 1141, 1352, 2501, 689, 267, 3782, 568, 1360, 1114, 269, 2107, 5310, 1352, 814, 1185, 3983, 2833, 1354, 269, 9861, 15520, 19579, 849, 2882, 1373, 3222, 540, 2009, 12194, 610, 20887, 1813, 547, 3604, 1063, 938, 1949, 269, 1403, 1352, 7959, 6899, 267, 2119, 6998, 1200, 9900, 827, 1022, 4145, 1352, 1522, 723, 269, 1411, 1223, 1256, 2307, 1200, 1018, 2337, 1200, 1745, 9350, 1282, 20499, 1394, 1753, 780, 7692, 281, 8729, 267, 7705, 256, 594, 1589, 594, 1205, 621, 1631, 269, 1635, 1620, 1200, 2528, 543, 6029, 6568, 267, 594, 666, 1118, 1200, 3643, 1447, 17559, 780, 8334, 281, 22549, 267, 7585, 256, 1656, 3314, 267, 1175, 899, 3843, 1007, 3536, 267, 1565, 827, 4529, 3217, 942, 269, 2142, 3461, 267, 1832, 606, 1930, 2247, 267, 543, 2972, 12423, 782, 519, 3579, 10486, 543, 3604, 1063, 707, 10600, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 24580, 2637, 1388, 23688, 7976, 267, 28981, 267, 610, 8562, 636, 17800, 8698, 713, 7981, 17136, 454, 17809, 11107, 262, 3131, 8526, 540, 12694, 538, 26861, 564, 3740, 5516, 585, 24622, 8932, 6468, 454, 25889, 269, 901, 12681, 1353, 8268, 1072, 1416, 7426, 685, 11994, 540, 7496, 547, 3246, 1072, 1416, 2533, 547, 24622, 8932, 21345, 2021, 269, 634, 1808, 2832, 729, 547, 3489, 1344, 827, 7426, 685, 2833, 267, 2866, 267, 2853, 543, 8456, 4478, 519, 27514, 1416, 267, 6765, 267, 543, 2359, 540, 2021, 609, 21058, 2637, 1388, 28981, 630, 293, 24774, 1040, 10613, 269, 10572, 10859, 3613, 19099, 11042, 941, 5342, 609, 476, 1691, 6188, 13011, 2103, 270, 4445, 31037, 5505, 543, 12016, 4571, 342, 1161, 538, 19090, 267, 11882, 269, 11778, 269, 2755, 7426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3060, 454, 825, 814, 1614, 11378, 281, 1079, 1769, 8596, 543, 835, 1648, 9963, 9300, 563, 825, 1879, 519, 8773, 781, 1648, 1377, 4991, 2630, 476, 1015, 267, 519, 9963, 9300, 454, 825, 5956, 547, 11578, 269, 476, 898, 814, 1079, 5179, 17016, 547, 1852, 519, 3432, 454, 825, 540, 519, 2451, 543, 1318, 14743, 780, 825, 24524, 1871, 568, 519, 1297, 540, 3268, 621, 15068, 5258, 676, 5021, 454, 825, 2009, 3268, 563, 8931, 8931, 825, 24315, 3008, 3951, 2464, 281, 31226, 2572, 723, 1631, 1044, 5189, 543, 789, 616, 519, 3283, 9687, 563, 825, 634, 3984, 568, 4371, 3586, 543, 519, 21313, 568, 11117, 1759, 593, 875, 2673, 922, 3984, 568, 454, 825, 547, 519, 2990, 476, 271, 267, 476, 271, 676, 519, 942, 519, 3984, 8255, 856, 540, 1648, 630, 7474, 1223, 635, 12393, 1919, 267, 2119, 1818, 621, 513, 1305, 942, 1916, 825, 8173, 825, 2634, 815, 562, 333, 269, 22056, 318, 742, 335, 1156, 9189, 263, 577, 668, 334, 2020, 825, 21313, 815, 562, 333, 269, 22056, 7272, 1156, 9189, 263, 577, 668, 334, 269, 1706, 553, 924, 15220, 668, 2020, 825, 1900, 21798, 815, 476, 271, 269, 274, 454, 825, 2332, 21328, 815, 476, 736, 454, 825, 1426, 21328, 815, 476, 1015, 454, 825, 3268, 815, 476, 271, 454, 825, 1003, 307, 7434, 338, 815, 476, 274, 454, 825, 1426, 292, 22760, 815, 476, 271, 454, 825, 2698, 5091, 2700, 815, 476, 271, 454, 825, 2798, 815, 476, 271, 454, 825, 585, 4693, 538, 2039, 16325, 307, 7434, 338, 2187, 1038, 1648, 815, 2332, 21328, 454, 1038, 1948, 14477, 2990, 8773, 454, 1038, 3082, 21659, 582, 14714, 641, 4590, 1038, 16144, 815, 4351, 20179, 3890, 2608, 2979, 32564, 2608, 476, 273, 1948, 2784, 2103, 454, 1038, 1535, 815, 4351, 20179, 3890, 2608, 476, 276, 1341, 476, 272, 454, 1038, 586, 815, 4351, 20179, 3890, 2608, 476, 276, 1341, 476, 272, 454, 1038, 3082, 21659, 582, 4732, 574, 1637, 314, 271, 4940, 3553, 303, 846, 3488, 611, 1986, 3299, 1535, 267, 586, 267, 16144, 994, 1038, 1948, 14477, 2990, 8279, 454, 1038, 3082, 21659, 582, 4732, 574, 1637, 314, 271, 4940, 24834, 2891, 1345, 269, 637, 564, 299, 2074, 263, 271, 269, 274, 267, 278, 267, 278, 264, 5602, 1038, 1247, 1648, 3436, 476, 271, 912, 2018, 3268, 6834, 476, 272, 454, 2018, 1648, 20699, 1900, 21798, 476, 1948, 6175, 1648, 585, 1169, 942, 1900, 454, 2018, 2634, 269, 4148, 2313, 4590, 2018, 3082, 21659, 582, 269, 26303, 3890, 1948, 9337, 8773, 781, 9300, 2418, 454, 2018, 1948, 2333, 1648, 950, 1426, 568, 13881, 454, 2018, 1267, 815, 3082, 21659, 582, 4318, 520, 8987, 272, 994, 2018, 952, 1267, 3436, 476, 271, 912, 3546, 1426, 292, 22760, 6834, 476, 272, 454, 3546, 1648, 6834, 1426, 21328, 454, 3546, 952, 2845, 17025, 281, 2845, 17025, 22182, 2891, 288, 974, 1426, 14826, 5602, 2018, 952, 1648, 2999, 1426, 21328, 912, 3546, 9963, 815, 476, 272, 269, 271, 910, 1648, 270, 15615, 6600, 797, 21328, 994, 2018, 3116, 912, 3546, 9963, 815, 476, 271, 269, 271, 454, 2018, 1202, 815, 3082, 21659, 582, 269, 2775, 314, 271, 4940, 7407, 1341, 1496, 8705, 940, 2639, 19930, 454, 2018, 21313, 318, 2006, 760, 815, 21313, 4732, 716, 10675, 8443, 271, 316, 2608, 2634, 8542, 636, 17750, 338, 2020, 2018, 1948, 24708, 513, 8675, 540, 12879, 2418, 547, 1118, 1919, 4443, 454, 2018, 21313, 18380, 815, 31460, 2018, 1130, 815, 476, 271, 454, 2018, 1247, 630, 1998, 2999, 630, 6352, 263, 1706, 553, 924, 318, 2006, 760, 264, 910, 272, 15892, 23526, 952, 630, 1998, 4939, 476, 273, 264, 2652, 476, 271, 912, 3546, 1948, 1721, 1169, 1256, 4994, 630, 21955, 2063, 952, 9642, 1297, 540, 2418, 264, 2322, 602, 1871, 607, 519, 1883, 543, 519, 1985, 1871, 607, 519, 1871, 454, 3546, 1948, 20357, 519, 21313, 17016, 513, 1297, 476, 271, 268, 272, 267, 1590, 2981, 621, 547, 513, 6843, 4994, 454, 3546, 6843, 19056, 815, 703, 263, 1706, 553, 924, 318, 2006, 760, 314, 1998, 316, 2608, 2634, 8542, 636, 318, 928, 584, 976, 994, 3546, 21313, 18380, 19559, 1712, 19056, 316, 815, 21313, 318, 2006, 760, 314, 1998, 266, 272, 2639, 23526, 1130, 6834, 476, 272, 454, 27030, 27030, 2018, 16080, 815, 2634, 4732, 716, 10675, 318, 1706, 553, 924, 263, 1706, 553, 924, 18380, 267, 1202, 2020, 2018, 3082, 21659, 582, 6230, 582, 832, 263, 8083, 314, 271, 3910, 16080, 314, 272, 7481, 2018, 952, 2845, 17025, 912, 3546, 2845, 17025, 22182, 2891, 3721, 4939, 275, 323, 6052, 4939, 276, 269, 273, 325, 590, 27602, 27633, 834, 4939, 630, 25074, 267, 1648, 4917, 3546, 2845, 17025, 22182, 2891, 299, 2074, 4939, 269, 273, 325, 4939, 269, 273, 325, 2782, 333, 4939, 269, 273, 325, 7763, 832, 4939, 269, 273, 325, 4939, 269, 273, 325, 14826, 257, 260, 26444, 23351, 630, 1231, 314, 271, 3910, 1202, 314, 272, 3910, 1202, 314, 273, 3910, 16080, 314, 271, 3910, 16080, 314, 272, 28413, 2018, 952, 3082, 21659, 582, 14714, 718, 912, 3546, 1948, 547, 3432, 909, 11191, 454, 3546, 1948, 950, 588, 6817, 1175, 1039, 538, 3268, 6967, 454, 3546, 3268, 6834, 2979, 269, 576, 559, 263, 24479, 270, 21163, 21798, 994, 3546, 1820, 834, 2056, 4693, 267, 8773, 588, 6817, 4840, 3546, 952, 2845, 17025, 281, 2845, 17025, 22182, 2891, 21659, 582, 588, 6817, 14826, 5602, 3546, 2736, 454, 2018, 1138, 14714, 788, 263, 14725, 284, 271, 264, 1948, 9337, 519, 1138, 15975, 2047, 454, 1038, 952, 2845, 17025, 281, 2845, 17025, 22182, 2891, 307, 7434, 8694, 14826, 5602, 1363, 692, 1038, 1948, 8340, 856, 1141, 519, 3984, 4867, 568, 454, 1038, 10974, 815, 3082, 21659, 582, 4732, 574, 1637, 314, 271, 4940, 1326, 303, 846, 263, 271, 994, 1038, 1820, 10974, 454, 1038, 952, 10974, 314, 271, 316, 2652, 476, 271, 543, 10974, 314, 272, 316, 2652, 476, 271, 912, 16875, 1948, 604, 21313, 3893, 3984, 547, 476, 271, 267, 476, 271, 621, 4991, 30039, 585, 875, 3728, 621, 1705, 865, 454, 16875, 2798, 6834, 476, 2004, 910, 3268, 454, 1038, 3116, 912, 16875, 1948, 604, 21313, 4769, 1405, 1205, 3984, 547, 476, 271, 267, 476, 271, 621, 4991, 30039, 585, 875, 2673, 621, 3893, 454, 16875, 2798, 6834, 630, 2004, 910, 630, 1723, 24002, 314, 271, 316, 1341, 10974, 314, 272, 8079, 9239, 16875, 1948, 307, 7495, 302, 281, 1689, 519, 29658, 5542, 547, 960, 1759, 593, 21313, 8516, 543, 3262, 21313, 23276, 692, 825, 3082, 21659, 582, 14714, 641, 4590, 825, 1820, 834, 31162, 341, 1882, 585, 4939, 323, 3268, 267, 17696, 4939, 323, 1648, 26005, 257, 4939, 26444, 16875, 630, 25074, 267, 1426, 292, 22760, 994, 825, 952, 2845, 17025, 281, 2845, 17025, 22182, 2891, 20776, 341, 1882, 4939, 323, 3268, 267, 17696, 4939, 323, 1426, 14826, 257, 4939, 26444, 4449, 16875, 630, 25074, 267, 1426, 292, 22760, 11723, 7531, 825, 2132, 2798, 692, 258, 8216, 5573, 519, 1138, 15975, 2047, 543, 1305, 2196, 547, 476, 271, 454, 13678, 815, 570, 330, 8245, 15975, 9230, 4510, 272, 267, 275, 4097, 1070, 630, 2420, 267, 22213, 1070, 476, 2412, 269, 3374, 278, 4649, 275, 267, 2196, 284, 271, 264, 22322, 13678, 14491, 26213, 263, 271, 267, 476, 271, 267, 476, 278, 267, 476, 278, 994, 13678, 14491, 23409, 263, 274, 267, 476, 277, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 275, 267, 476, 277, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 273, 267, 476, 275, 269, 276, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 276, 267, 476, 275, 269, 276, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 272, 267, 476, 274, 269, 276, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 277, 267, 476, 274, 269, 276, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 273, 267, 476, 273, 269, 276, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 276, 267, 476, 273, 269, 276, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 274, 267, 476, 272, 267, 476, 271, 269, 274, 994, 13678, 14491, 23409, 263, 275, 267, 476, 272, 267, 476, 271, 269, 274, 994, 13678, 14491, 21659, 582, 263, 7785, 876, 267, 570, 330, 303, 7748, 518, 2891, 611, 1986, 2580, 274, 269, 276, 267, 476, 274, 269, 276, 267, 476, 271, 2676, 4449, 23526, 16733, 269, 18597, 267, 1547, 18597, 267, 910, 269, 18597, 267, 910, 269, 18597, 13211, 4449, 25639, 30285, 11260, 267, 910, 269, 11260, 267, 910, 269, 11260, 267, 1547, 11260, 4297, 4917, 13678, 269, 13681, 1824, 314, 271, 4940, 5417, 28319, 823, 27456, 7748, 518, 293, 3224, 23409, 306, 839, 832, 31156, 258, 1711, 513, 12572, 8773, 454, 611, 2194, 21659, 582, 815, 3244, 15318, 4433, 574, 267, 22373, 29985, 10676, 2580, 476, 7785, 876, 3910, 476, 271, 2020, 258, 1305, 909, 16517, 454, 935, 14808, 269, 2903, 3488, 24479, 318, 935, 14808, 5073, 10676, 15220, 668, 25593, 8542, 1712, 318, 2102, 324, 25292, 815, 11646, 269, 11966, 294, 2940, 692, 3698, 1292, 10031, 825, 8173, 825, 634, 12122, 3758, 267, 1648, 318, 935, 14808, 267, 2488, 782, 519, 1898, 454, 825, 6724, 563, 825, 8173, 825, 1948, 3399, 519, 12105, 1184, 454, 825, 2551, 10422, 641, 1637, 4318, 1998, 10663, 815, 859, 531, 6958, 5893, 692, 825, 1402, 815, 2551, 10422, 641, 1637, 2891, 12895, 15220, 668, 334, 318, 1015, 5602, 825, 1376, 815, 942, 28333, 4590, 825, 5481, 815, 476, 1556, 454, 825, 12361, 307, 7495, 302, 281, 4137, 856, 1141, 5542, 568, 8345, 543, 1689, 621, 547, 2824, 1759, 593, 21313, 3079, 540, 3984, 454, 825, 1402, 269, 788, 5255, 263, 10090, 725, 267, 1867, 18989, 267, 4688, 10734, 652, 18989, 267, 26444, 23526, 2638, 4812, 318, 5793, 1998, 22561, 267, 2638, 4812, 318, 14749, 284, 276, 994, 825, 3247, 815, 942, 28333, 4590, 825, 1714, 17863, 815, 3247, 910, 1376, 454, 825, 1820, 834, 13707, 942, 547, 11457, 24333, 1714, 17863, 454, 825, 1820, 834, 11742, 829, 5108, 24333, 1714, 17863, 270, 15615, 263, 10090, 725, 994, 825, 1948, 1773, 1824, 519, 4720, 540, 519, 1655, 21669, 2071, 8516, 3097, 825, 14650, 19502, 14067, 1846, 9638, 641, 14714, 1846, 994, 825, 1948, 10439, 3278, 884, 857, 566, 454, 825, 14650, 19502, 5334, 23853, 9638, 641, 4732, 23853, 318, 8421, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 10797, 0, 5814, 4893, 984, 582, 12218, 454, 5228, 2979, 1104, 535, 11274, 267, 21762, 454, 5814, 4351, 273, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 5814, 9978, 293, 15635, 454, 5814, 11885, 607, 5286, 454, 5814, 1414, 18145, 692, 577, 6548, 307, 13759, 815, 476, 271, 454, 331, 739, 307, 13759, 815, 476, 271, 7531, 258, 1205, 4351, 703, 1297, 1063, 910, 272, 543, 476, 272, 454, 3698, 1205, 305, 663, 8967, 514, 10031, 825, 2132, 4351, 273, 27110, 8987, 272, 267, 476, 272, 9239, 258, 1205, 4351, 703, 1297, 1063, 476, 271, 543, 476, 14838, 454, 3698, 1205, 305, 663, 21760, 10031, 825, 2132, 4351, 273, 27110, 263, 271, 267, 476, 14838, 9239, 258, 1205, 4351, 703, 1297, 1063, 476, 271, 543, 476, 14838, 454, 3698, 1205, 305, 663, 300, 19318, 11749, 10031, 825, 2132, 4351, 273, 27110, 263, 271, 267, 476, 14838, 9239, 258, 1205, 4351, 703, 1297, 1063, 476, 271, 543, 476, 14838, 454, 3698, 1205, 305, 663, 300, 19318, 11749, 295, 2788, 10031, 825, 2132, 4351, 273, 27110, 263, 271, 267, 476, 14096, 9239, 3698, 1205, 305, 663, 289, 944, 10031, 825, 2132, 4351, 273, 27110, 263, 271, 267, 476, 272, 9239, 3698, 1205, 305, 663, 1998, 10031, 825, 2132, 4351, 273, 27110, 263, 271, 267, 476, 1911, 2020, 7531, 3698, 4893, 984, 1824, 31161, 618, 27409, 820, 263, 523, 762, 30357, 267, 4893, 984, 1824, 26161, 2187, 825, 8173, 825, 24439, 4893, 984, 1824, 3406, 585, 741, 3077, 543, 1847, 538, 513, 1899, 630, 1467, 3350, 994, 825, 2433, 12407, 281, 5512, 30357, 281, 11090, 14045, 593, 2436, 519, 11191, 568, 4881, 454, 825, 2433, 12407, 281, 4893, 984, 1824, 26161, 281, 5044, 540, 4540, 4893, 984, 1824, 454, 825, 2433, 8873, 281, 9039, 454, 825, 8173, 825, 2518, 4503, 307, 13759, 454, 825, 952, 5512, 30357, 1384, 1038, 621, 272, 815, 476, 271, 454, 1038, 585, 621, 538, 4893, 984, 1824, 26161, 912, 2018, 621, 272, 815, 621, 272, 1341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6776, 553, 1534, 520, 643, 553, 1100, 2796, 334, 1965, 3712, 541, 18237, 14833, 267, 2701, 10042, 2098, 3711, 10314, 632, 6902, 1975, 9579, 1014, 328, 267, 12756, 632, 700, 712, 9188, 6902, 21780, 517, 9809, 320, 267, 2672, 7942, 2871, 12818, 340, 701, 632, 7799, 320, 6902, 11676, 334, 267, 4432, 529, 2896, 324, 589, 6768, 322, 5866, 27055, 14561, 6902, 16645, 541, 9418, 267, 18243, 9366, 12756, 632, 29106, 4275, 6902, 13660, 27525, 267, 6682, 10042, 6902, 21411, 600, 9369, 267, 6307, 962, 32634, 6902, 27804, 5633, 267, 774, 9820, 681, 269, 6902, 12275, 916, 267, 16500, 5633, 12756, 2098, 879, 1506, 6902, 3057, 514, 267, 674, 5451, 339, 9874, 589, 6768, 322, 5866, 4144, 553, 717, 2345, 1696, 620, 269, 630, 290, 1961, 23843, 11550, 16165, 4696, 630, 7419, 2464, 303, 1070, 476, 1001, 273, 264, 1496, 299, 643, 549, 316, 0, 307, 17687, 568, 513, 3119, 24572, 585, 2249, 13664, 9832, 269, 769, 519, 2796, 540, 2518, 8337, 267, 1034, 3007, 6212, 2390, 519, 1761, 2360, 540, 3002, 2566, 593, 519, 2104, 3892, 540, 28341, 1278, 6193, 2249, 269, 13518, 1447, 3007, 814, 267, 2705, 267, 1044, 2016, 547, 4411, 8143, 2566, 4352, 621, 849, 5036, 2249, 8143, 6885, 7182, 267, 8754, 3892, 9832, 269, 901, 1353, 729, 5342, 538, 5162, 593, 513, 3162, 5025, 26894, 22586, 13272, 538, 1931, 547, 8495, 519, 1761, 8143, 2640, 540, 519, 30843, 2623, 4767, 538, 519, 8789, 8819, 1886, 617, 715, 518, 7534, 693, 26963, 6242, 269, 26365, 9196, 729, 1031, 547, 2268, 519, 1560, 5210, 540, 476, 3607, 279, 272, 10015, 730, 2043, 543, 476, 26297, 22072, 2043, 267, 543, 4478, 10799, 23628, 2837, 269, 715, 269, 693, 26963, 6242, 27960, 543, 22072, 2043, 941, 3648, 15911, 982, 741, 4478, 10799, 23628, 269, 634, 2837, 11539, 1063, 27960, 543, 10799, 23628, 729, 267, 2705, 267, 1309, 269, 476, 273, 11019, 290, 15911, 982, 519, 835, 4767, 1063, 22072, 2043, 543, 10799, 23628, 269, 901, 1267, 568, 2565, 2094, 513, 1560, 2837, 2333, 540, 1152, 513, 1906, 5232, 1522, 3986, 1367, 2773, 267, 8754, 11248, 531, 8516, 267, 543, 1223, 5732, 5397, 2242, 538, 954, 14588, 6900, 3347, 269, 14755, 267, 519, 1761, 2362, 8143, 24880, 540, 27960, 1522, 2333, 519, 2879, 841, 13261, 2702, 547, 23589, 2825, 2242, 269, 1284, 2417, 8495, 519, 1761, 8143, 30846, 1369, 606, 14919, 538, 1931, 547, 2697, 1022, 5687, 958, 25368, 2990, 269, 623, 2255, 7740, 616, 3648, 15911, 982, 741, 8728, 267, 8754, 25658, 1995, 3152, 8143, 5383, 538, 519, 14919, 4099, 269, 7053, 267, 649, 8947, 519, 1761, 1198, 540, 14919, 2450, 593, 2879, 841, 2837, 543, 8143, 8901, 30846, 269, 1284, 4857, 606, 14919, 2450, 12939, 630, 21327, 2043, 264, 3564, 799, 782, 25658, 1185, 3160, 8143, 2640, 267, 7488, 540, 741, 8901, 7158, 1369, 606, 14919, 269, 2755, 519, 15002, 1143, 540, 713, 14919, 2450, 12939, 3340, 2417, 13753, 267, 519, 1459, 960, 19918, 4857, 519, 8143, 2640, 540, 30843, 2623, 585, 954, 339, 10537, 28341, 1278, 916, 896, 4411, 4365, 2175, 269, 634, 6286, 540, 519, 1459, 4466, 616, 5941, 538, 519, 2489, 5943, 540, 519, 2702, 540, 28341, 1278, 6193, 5095, 547, 3068, 2825, 2242, 563, 31871, 540, 3817, 1475, 279, 2008, 347, 22711, 1475, 297, 5495, 11748, 299, 5508, 8946, 2207, 300, 3201, 19739, 13256, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 272, 5463, 476, 1001, 273, 2008, 268, 12019, 9542, 454, 268, 715, 518, 7534, 693, 26963, 6242, 454, 268, 26365, 9196, 454, 268, 14562, 3467, 326, 17419, 2623, 0, 2791, 2461, 4440, 5432, 609, 519, 10965, 749, 523, 16685, 15873, 269, 4014, 7361, 8719, 676, 519, 8298, 11321, 15873, 538, 2487, 1296, 267, 519, 10965, 749, 523, 15873, 267, 2919, 538, 476, 5908, 273, 267, 729, 1279, 519, 3044, 1259, 585, 7893, 3308, 1035, 8462, 269, 10439, 1035, 8462, 568, 4330, 607, 519, 2702, 547, 1294, 1469, 267, 610, 519, 6571, 540, 707, 5075, 269, 898, 568, 6027, 538, 7285, 267, 543, 568, 8200, 593, 519, 2990, 540, 3308, 13364, 538, 519, 22100, 269, 2334, 2462, 968, 292, 892, 593, 519, 3750, 5750, 729, 2966, 609, 513, 6297, 9511, 547, 8308, 2268, 1346, 7285, 693, 513, 1880, 3845, 563, 763, 3381, 2630, 3217, 519, 10965, 749, 523, 15873, 543, 9727, 922, 10342, 693, 4336, 267, 7893, 3308, 1035, 8462, 2066, 519, 5842, 12770, 7345, 563, 273, 32438, 593, 834, 17637, 25198, 281, 634, 10965, 749, 523, 16685, 15873, 4840, 296, 865, 10150, 713, 256, 4024, 2671, 609, 519, 29555, 332, 6048, 538, 1250, 1272, 269, 8729, 2336, 1607, 568, 1134, 2944, 267, 9684, 596, 256, 3807, 11842, 281, 941, 596, 3222, 602, 519, 1977, 9142, 540, 744, 20953, 17443, 568, 4092, 1318, 972, 693, 5754, 1372, 543, 16047, 538, 24700, 286, 634, 9142, 2965, 814, 513, 7467, 540, 17496, 267, 669, 1442, 2407, 540, 32263, 21305, 3750, 5829, 3688, 269, 3807, 513, 2219, 952, 596, 5490, 883, 519, 1158, 540, 5075, 1586, 563, 17445, 528, 540, 21111, 4065, 454, 13563, 9142, 540, 744, 20953, 17443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8340, 713, 4199, 912, 300, 16017, 267, 715, 269, 661, 269, 630, 1001, 278, 1040, 24956, 30008, 267, 1309, 1632, 539, 281, 25300, 15912, 267, 900, 19390, 529, 267, 543, 15287, 6214, 538, 1325, 758, 966, 4660, 5336, 523, 517, 779, 1582, 773, 3061, 687, 269, 631, 14727, 4750, 281, 589, 4750, 540, 9012, 543, 9177, 267, 476, 736, 263, 274, 1040, 8340, 713, 4199, 912, 4942, 650, 2354, 267, 654, 269, 630, 1001, 276, 1040, 901, 568, 1946, 649, 666, 1406, 723, 8799, 1919, 281, 29570, 519, 2078, 1063, 2228, 512, 13764, 543, 13416, 2528, 269, 11062, 267, 10790, 281, 20037, 4964, 269, 8340, 713, 4199, 912, 21691, 663, 267, 645, 269, 630, 1001, 277, 1040, 670, 11596, 281, 4498, 14536, 267, 6057, 267, 543, 5208, 2228, 269, 12493, 267, 17252, 281, 8000, 558, 659, 269, 8340, 713, 4199, 912, 303, 965, 267, 717, 269, 667, 1421, 27672, 517, 267, 661, 1421, 20736, 5069, 267, 589, 1421, 1299, 681, 2727, 626, 267, 681, 269, 630, 32295, 12175, 630, 1220, 278, 1040, 5851, 6690, 1118, 930, 6846, 281, 31177, 5577, 22158, 16320, 1108, 269, 21001, 700, 5448, 267, 11404, 281, 26436, 269, 8340, 713, 4199, 912, 20075, 523, 267, 631, 269, 630, 1220, 279, 1040, 3690, 20139, 15594, 12100, 528, 923, 538, 513, 3059, 1158, 269, 5441, 2296, 267, 476, 3583, 263, 276, 1070, 476, 5325, 272, 1700, 4366, 280, 269, 8340, 713, 4199, 912, 305, 600, 8124, 267, 661, 269, 631, 1421, 1299, 16114, 328, 6210, 267, 717, 269, 630, 1220, 275, 1040, 634, 1476, 3175, 540, 5256, 32270, 543, 8706, 6541, 538, 6581, 518, 16685, 585, 519, 18135, 697, 24053, 269, 12339, 21442, 9012, 5525, 267, 476, 275, 263, 274, 1070, 476, 31874, 1700, 28307, 269, 8340, 713, 4199, 912, 23613, 267, 589, 269, 630, 2735, 271, 1040, 3281, 6160, 800, 10636, 26557, 543, 24139, 6228, 269, 20050, 267, 476, 276, 263, 275, 1070, 476, 277, 4029, 1700, 32133, 269, 8340, 713, 4199, 912, 23613, 1841, 267, 681, 269, 590, 269, 630, 1001, 276, 1040, 3690, 20139, 15594, 12100, 528, 923, 543, 575, 25311, 5718, 538, 2518, 6214, 281, 3245, 20766, 540, 22038, 547, 4401, 21031, 269, 28469, 5069, 267, 11022, 281, 22858, 15838, 269, 8340, 713, 4199, 912, 25938, 1111, 267, 570, 269, 631, 1421, 1299, 7345, 332, 267, 715, 269, 918, 269, 630, 1001, 276, 1040, 1548, 1281, 519, 1582, 773, 2161, 286, 15766, 908, 513, 2518, 7613, 269, 4139, 4750, 540, 9442, 267, 476, 280, 263, 866, 1070, 476, 15647, 279, 1700, 8182, 277, 269, 8340, 713, 4199, 912, 8967, 775, 267, 808, 1421, 1299, 29581, 516, 747, 267, 681, 269, 700, 269, 630, 3192, 279, 1040, 16549, 1529, 6541, 543, 8706, 6541, 281, 4256, 5626, 7516, 267, 31426, 267, 543, 24970, 1027, 757, 269, 21388, 267, 29255, 281, 2160, 540, 7147, 4964, 269, 8340, 713, 4199, 912, 1805, 11669, 3162, 731, 267, 645, 269, 589, 269, 630, 1001, 273, 1040, 631, 4106, 656, 15114, 281, 31898, 5566, 2994, 540, 519, 2817, 6468, 779, 9549, 267, 476, 4489, 274, 1700, 4572, 271, 269, 5441, 13749, 267, 29255, 281, 7147, 589, 261, 300, 2160, 4964, 269, 8340, 713, 4199, 912, 307, 2335, 523, 267, 667, 269, 630, 1960, 275, 1040, 13834, 543, 11407, 269, 1715, 3840, 267, 12924, 281, 10228, 2160, 4964, 269, 8340, 713, 4199, 912, 307, 344, 671, 525, 2917, 267, 808, 269, 630, 1960, 276, 1040, 667, 18805, 540, 1772, 529, 281, 6468, 540, 3504, 5527, 269, 5507, 267, 5177, 281, 31919, 269, 8340, 713, 4199, 912, 11749, 323, 10216, 267, 589, 269, 715, 269, 630, 10955, 12175, 630, 1220, 279, 1040, 4678, 2088, 270, 334, 2792, 2090, 2221, 269, 1715, 3840, 267, 12924, 281, 8834, 18999, 269, 8340, 713, 4199, 912, 25582, 525, 267, 667, 269, 630, 1220, 275, 1040, 7316, 1250, 6690, 693, 286, 4563, 6690, 543, 519, 4070, 540, 519, 4638, 269, 769, 589, 269, 20831, 1299, 631, 269, 20963, 630, 32295, 12175, 2353, 827, 519, 8004, 281, 9177, 267, 1379, 267, 543, 3961, 630, 653, 269, 476, 15221, 1700, 14631, 1040, 1715, 3840, 267, 12924, 281, 30296, 269, 8340, 713, 4199, 912, 24841, 267, 808, 269, 570, 269, 630, 1001, 273, 1040, 717, 25311, 2729, 281, 9442, 267, 4008, 267, 543, 2528, 630, 1015, 628, 1196, 12175, 11785, 267, 10790, 281, 654, 611, 29536, 269, 8340, 713, 4199, 912, 310, 340, 267, 670, 269, 630, 1220, 273, 1040, 8466, 2090, 540, 17720, 2021, 1934, 543, 972, 281, 6396, 1670, 2591, 547, 8789, 4612, 633, 10850, 269, 19954, 304, 267, 476, 3953, 267, 476, 11011, 1700, 9032, 269, 8340, 713, 4199, 912, 312, 788, 267, 717, 1421, 700, 13960, 553, 267, 918, 269, 661, 1421, 1299, 4432, 807, 267, 808, 269, 623, 269, 630, 32295, 4700, 630, 1220, 275, 1040, 6581, 518, 3069, 543, 2792, 281, 3245, 5676, 1456, 6446, 619, 547, 6446, 1359, 519, 9015, 4433, 1040, 1715, 3840, 267, 12924, 281, 30296, 269, 8340, 713, 4199, 912, 313, 664, 629, 267, 645, 269, 630, 1220, 272, 1040, 6468, 540, 20770, 281, 13834, 543, 6041, 538, 27859, 269, 5507, 267, 5177, 281, 30296, 269, 8340, 713, 4199, 912, 313, 3089, 9007, 267, 631, 269, 630, 2735, 273, 1040, 16549, 1529, 6541, 1922, 655, 514, 6541, 543, 17683, 540, 26068, 10291, 269, 4750, 540, 22226, 1299, 4317, 10017, 267, 476, 5655, 263, 274, 1070, 476, 276, 4366, 1700, 4649, 277, 269, 8340, 713, 4199, 281, 0, 306, 15471, 12267, 267, 19788, 26414, 543, 1216, 325, 25717, 454, 1692, 547, 5900, 847, 667, 15085, 454, 291, 15085, 616, 5017, 602, 4043, 547, 22109, 267, 543, 1317, 540, 713, 267, 621, 666, 581, 2352, 547, 1205, 873, 547, 3251, 538, 835, 1747, 18385, 269, 1358, 616, 3622, 13631, 547, 1507, 4703, 540, 1216, 5627, 2371, 602, 789, 666, 3049, 593, 269, 5900, 24219, 26414, 568, 513, 2339, 540, 2870, 519, 1655, 543, 32343, 1604, 602, 786, 1118, 873, 1616, 547, 22109, 547, 707, 10720, 610, 11432, 563, 17730, 606, 9980, 6005, 5253, 18140, 454, 294, 992, 12748, 2371, 1312, 3330, 543, 1472, 707, 11432, 6185, 15085, 3548, 513, 3099, 540, 12748, 2371, 543, 786, 7017, 538, 2127, 1141, 789, 786, 581, 2111, 547, 3049, 269, 2368, 1806, 540, 12748, 2371, 602, 26414, 616, 13631, 547, 616, 654, 3805, 517, 23420, 543, 8187, 22966, 2044, 563, 268, 8187, 13767, 2044, 9428, 896, 1216, 909, 547, 519, 2627, 543, 7472, 5452, 602, 26414, 3049, 593, 269, 667, 15085, 786, 849, 4685, 1524, 547, 3548, 519, 16321, 851, 540, 519, 2030, 563, 268, 1677, 2030, 519, 3552, 13767, 2044, 267, 581, 2386, 519, 15620, 616, 4988, 609, 513, 10381, 743, 1054, 547, 2061, 7943, 689, 3478, 547, 873, 269, 2142, 2386, 547, 2030, 519, 3552, 13767, 2044, 538, 1447, 982, 476, 274, 3952, 540, 1216, 563, 268, 654, 3805, 517, 23420, 9428, 4625, 14015, 543, 2488, 1426, 585, 26414, 267, 2520, 3150, 267, 543, 3165, 269, 898, 568, 6738, 13974, 547, 8187, 22966, 2044, 267, 609, 15620, 12630, 5402, 538, 13719, 1216, 2476, 689, 1463, 7943, 563, 24456, 932, 340, 17304, 267, 513, 9742, 540, 2428, 3766, 14993, 269, 2419, 340, 17304, 666, 581, 12630, 9170, 2282, 513, 11432, 543, 568, 513, 1390, 2707, 540, 3170, 543, 3940, 585, 1216, 325, 25717, 269, 898, 9428, 3362, 538, 6632, 5054, 543, 24643, 26414, 267, 945, 2648, 547, 3548, 621, 269, 898, 568, 513, 2241, 6371, 547, 2030, 1317, 621, 1281, 711, 1491, 1454, 909, 18141, 267, 543, 621, 1281, 711, 2154, 13226, 2899, 621, 568, 12630, 563, 268, 7233, 669, 340, 17304, 5452, 5111, 476, 272, 547, 476, 273, 6279, 2620, 883, 3037, 2282, 707, 11432, 543, 538, 9343, 476, 273, 547, 476, 275, 6279, 6306, 563, 8620, 606, 1604, 602, 2882, 2113, 7410, 267, 556, 2644, 543, 16321, 748, 2371, 593, 3819, 2244, 269, 2691, 519, 2371, 9921, 543, 1287, 616, 19872, 676, 513, 11432, 2673, 676, 267, 26414, 786, 581, 13631, 547, 873, 950, 789, 616, 4955, 7992, 269, 15585, 908, 891, 2371, 1169, 3791, 1032, 568, 5227, 865, 602, 519, 3037, 3085, 1406, 1831, 8770, 28119, 563, 24823, 622, 7573, 2371, 883, 519, 1604, 6185, 15085, 616, 1360, 13631, 547, 7573, 267, 799, 849, 2115, 513, 6632, 1604, 547, 1332, 269, 8347, 4946, 5545, 2113, 2280, 547, 707, 4729, 269, 901, 568, 1031, 676, 21868, 21962, 547, 4482, 26414, 269, 634, 2113, 2280, 1058, 581, 12630, 538, 513, 3819, 1858, 2282, 519, 11432, 269, 898, 9428, 3533, 267, 543, 6763, 827, 476, 273, 547, 476, 275, 3952, 7381, 950, 621, 568, 4628, 9921, 563, 22879, 1210, 5521, 15969, 593, 707, 3959, 16638, 4167, 15969, 543, 10786, 15969, 6146, 1055, 12961, 602, 26414, 2648, 547, 3548, 543, 616, 849, 20715, 547, 873, 269, 1677, 4482, 26414, 267, 1810, 1406, 946, 891, 6464, 593, 707, 707, 15989, 610, 2282, 519, 11432, 1141, 596, 2461, 15691, 547, 4482, 873, 563, 28444, 675, 707, 21868, 814, 2973, 6704, 1216, 269, 6826, 2386, 602, 1022, 26414, 596, 4482, 547, 707, 11432, 616, 6854, 2635, 676, 3246, 873, 609, 2973, 6704, 1216, 269, 667, 15085, 666, 3362, 4579, 7762, 592, 1143, 267, 865, 581, 2386, 602, 741, 11432, 568, 2312, 540, 4666, 2831, 543, 13851, 563, 268, 1411, 666, 849, 2119, 5329, 513, 27647, 1242, 5374, 8670, 610, 8685, 540, 4195, 1216, 2282, 519, 11432, 269, 2142, 2386, 547, 2973, 621, 3232, 547, 1118, 2386, 519, 1216, 3788, 2312, 563, 21430, 519, 5113, 9869, 3386, 454, 6826, 2386, 547, 723, 513, 11432, 7404, 16638, 1931, 547, 4482, 26414, 267, 596, 1590, 723, 606, 1604, 602, 568, 899, 741, 2067, 7226, 269, 2659, 18147, 267, 585, 1383, 267, 568, 14605, 14018, 547, 19788, 26414, 269, 1717, 267, 952, 596, 723, 513, 10720, 610, 1804, 11432, 593, 707, 3959, 267, 1287, 596, 786, 2693, 581, 2111, 547, 4482, 26414, 547, 621, 563, 268, 667, 15085, 616, 711, 528, 13124, 2352, 547, 4482, 269, 898, 779, 9090, 2009, 547, 4482, 873, 267, 855, 898, 779, 849, 1271, 547, 3314, 602, 789, 616, 27436, 5017, 693, 2295, 563, 24246, 21868, 1232, 9081, 547, 1747, 1472, 741, 7226, 269, 4322, 1232, 9081, 786, 4482, 4955, 7992, 26414, 547, 2097, 1491, 513, 6251, 1413, 693, 519, 4478, 1858, 269, 2142, 2386, 547, 1902, 538, 10853, 23302, 21868, 1232, 9081, 563, 268, 1703, 616, 1114, 2010, 540, 21868, 1232, 9081, 267, 1519, 32041, 731, 21868, 267, 3109, 21868, 267, 543, 979, 846, 1232, 9081, 269, 2983, 3150, 1118, 5140, 1232, 9081, 267, 607, 26414, 543, 2520, 3150, 4749, 2661, 1927, 538, 2147, 9249, 267, 865, 26414, 616, 6923, 6537, 547, 873, 563, 303, 3789, 1232, 1195, 26414, 2282, 519, 1216, 781, 6316, 1985, 547, 707, 1426, 4729, 20136, 1259, 267, 519, 26414, 786, 581, 13631, 676, 519, 1232, 1195, 543, 3251, 585, 519, 1426, 269, 898, 781, 1271, 547, 2990, 519, 1232, 9081, 538, 513, 10853, 6073, 602, 13147, 923, 875, 1483, 26414, 1522, 5531, 563, 268, 3680, 11093, 6266, 540, 1232, 9081, 538, 513, 16517, 1895, 593, 707, 11432, 269, 5502, 267, 3262, 873, 856, 267, 11093, 1079, 610, 1614, 593, 707, 11432, 543, 513, 7008, 7404, 593, 2244, 269, 634, 1883, 568, 547, 1118, 519, 1232, 9081, 4667, 607, 1825, 15344, 607, 2009, 547, 519, 26414, 596, 2811, 15691, 547, 4482, 563, 8269, 1778, 689, 8027, 824, 2831, 2282, 519, 11432, 6185, 15085, 616, 1236, 8636, 880, 543, 786, 711, 1616, 547, 9566, 952, 972, 616, 824, 2831, 538, 2673, 16133, 269, 1358, 949, 849, 1831, 17872, 563, 2704, 869, 21823, 1472, 707, 11432, 547, 1332, 7381, 6185, 15085, 616, 13631, 547, 4025, 609, 1279, 21823, 1141, 789, 786, 11100, 538, 543, 581, 6870, 689, 11975, 269, 3680, 16013, 2719, 519, 21823, 543, 11453, 4478, 707, 11432, 563, 30395, 513, 23132, 6185, 15085, 991, 513, 2777, 609, 1434, 14910, 543, 7899, 540, 2230, 547, 1847, 1472, 269, 1879, 596, 12706, 513, 8381, 667, 3089, 5600, 267, 621, 781, 1271, 547, 1118, 621, 838, 20160, 2614, 585, 519, 1297, 540, 26414, 596, 18783, 8027, 269, 14520, 547, 5216, 3952, 676, 2185, 547, 2947, 3952, 568, 513, 1434, 267, 3044, 2450, 585, 513, 21868, 2777, 563, 268, 2659, 21868, 2777, 1058, 723, 513, 4396, 6989, 630, 9109, 2643, 22739, 1568, 1134, 1040, 1358, 666, 2482, 593, 519, 2666, 267, 855, 2348, 713, 4396, 32466, 11151, 11975, 689, 3276, 8089, 883, 741, 23132, 563, 30395, 519, 23132, 609, 3574, 1544, 802, 269, 16605, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 631, 1682, 3947, 14172, 6666, 547, 11299, 945, 6542, 4396, 1719, 543, 849, 2702, 538, 18997, 741, 19920, 267, 3246, 1072, 1416, 3435, 547, 741, 10820, 267, 2921, 851, 538, 1310, 1153, 2238, 610, 11836, 2146, 3028, 4247, 602, 4324, 519, 8378, 269, 6258, 811, 454, 290, 5263, 14439, 602, 519, 2833, 540, 19920, 543, 1762, 1004, 666, 581, 8032, 543, 849, 9044, 539, 883, 2500, 267, 6209, 11678, 543, 2729, 269, 595, 5263, 607, 513, 1267, 2771, 1622, 7341, 547, 5721, 12391, 4079, 602, 666, 1118, 15028, 11033, 547, 2486, 607, 1134, 607, 2285, 5718, 950, 621, 568, 1572, 585, 269, 9615, 7426, 1404, 513, 4105, 1599, 3514, 519, 2104, 540, 19920, 269, 1358, 616, 18177, 585, 12391, 6738, 5725, 538, 741, 5321, 269, 595, 5263, 17767, 602, 1762, 1004, 1293, 593, 741, 12391, 4079, 547, 2203, 2635, 543, 7059, 543, 849, 25964, 2623, 269, 0, 4002, 713, 1554, 538, 476, 1220, 273, 267, 25599, 31473, 4465, 1010, 1101, 2407, 2165, 607, 7147, 17294, 563, 8110, 787, 1185, 13026, 519, 5604, 2094, 3735, 538, 476, 1220, 271, 267, 950, 6723, 654, 269, 17312, 759, 11220, 547, 6445, 1010, 1007, 1909, 607, 7022, 269, 1809, 538, 476, 1220, 273, 267, 31473, 17204, 19391, 520, 25414, 5842, 31712, 676, 513, 476, 6812, 268, 2412, 2600, 14345, 267, 10888, 519, 1827, 11208, 538, 1010, 1378, 1318, 269, 31473, 568, 519, 1101, 10927, 540, 513, 7147, 589, 261, 300, 13464, 547, 4196, 607, 17294, 269, 630, 3891, 13984, 589, 261, 300, 5937, 571, 704, 8094, 7628, 1010, 942, 538, 5604, 267, 31473, 814, 5059, 593, 2152, 971, 607, 1072, 1416, 267, 8473, 3354, 543, 1153, 8804, 6963, 269, 7216, 538, 1010, 26022, 267, 646, 14593, 998, 5753, 779, 2657, 15928, 5358, 630, 6224, 7709, 264, 547, 2508, 1072, 3795, 585, 796, 1231, 3293, 1920, 269, 1261, 779, 2094, 13631, 9880, 585, 711, 2508, 793, 8863, 7709, 607, 4628, 607, 646, 2899, 1705, 269, 1809, 646, 779, 9450, 7482, 585, 2069, 693, 1312, 519, 3119, 543, 2362, 268, 25531, 2157, 267, 1519, 25689, 543, 14828, 563, 763, 1079, 3856, 17294, 814, 849, 3144, 513, 9157, 18879, 593, 6760, 630, 10175, 1654, 1729, 532, 513, 1876, 7333, 940, 519, 11056, 540, 1427, 14975, 539, 31852, 264, 543, 22002, 27789, 12475, 15024, 269, 769, 476, 1220, 274, 267, 7147, 17037, 9516, 513, 31473, 3491, 12723, 13338, 17203, 547, 1698, 4731, 335, 15462, 17758, 269, 901, 814, 3366, 547, 513, 6749, 538, 519, 1942, 540, 4731, 335, 15462, 6142, 538, 7147, 543, 513, 10006, 538, 519, 1297, 540, 7189, 5275, 547, 2259, 538, 519, 1533, 563, 8110, 787, 568, 4867, 19526, 538, 18979, 9550, 6370, 609, 17044, 7354, 269, 28270, 13391, 13704, 670, 8553, 2581, 269, 670, 8553, 2581, 267, 513, 476, 1626, 4458, 6845, 1807, 267, 568, 4101, 1864, 585, 519, 17044, 9930, 1588, 267, 543, 1082, 1004, 3494, 519, 16771, 540, 519, 4728, 17044, 3119, 786, 3362, 979, 593, 547, 1831, 17294, 269, 769, 519, 1576, 540, 519, 5859, 267, 31473, 814, 13631, 3007, 585, 31552, 602, 7147, 568, 21748, 31383, 543, 25525, 3585, 21108, 7147, 685, 11056, 540, 513, 26722, 15294, 19907, 1082, 1004, 1631, 3494, 729, 17608, 563, 8110, 787, 568, 2907, 519, 13074, 1606, 6326, 17294, 538, 519, 1686, 540, 7147, 282, 1058, 646, 3094, 606, 13778, 3791, 2165, 267, 646, 786, 581, 593, 3950, 547, 4196, 585, 936, 476, 1691, 6024, 1296, 267, 7466, 519, 26022, 540, 519, 3105, 2594, 3620, 27212, 630, 18988, 676, 29583, 269, 30129, 1744, 1392, 1040, 0, 3528, 1635, 6754, 681, 773, 1188, 327, 4752, 13775, 3057, 476, 6021, 267, 476, 1001, 278, 476, 4962, 281, 1691, 281, 1556, 763, 2136, 2276, 543, 6576, 723, 1044, 693, 2112, 585, 1296, 267, 855, 621, 568, 1152, 1631, 602, 519, 2112, 568, 13166, 10294, 267, 609, 519, 2112, 538, 16850, 543, 922, 29854, 8757, 1007, 15627, 563, 305, 17892, 779, 7022, 267, 32157, 30922, 267, 814, 12219, 547, 946, 519, 1007, 4655, 547, 2417, 14020, 2475, 21445, 3646, 547, 2270, 519, 9099, 3557, 538, 16850, 267, 543, 814, 12247, 539, 547, 968, 14814, 569, 26763, 856, 892, 2475, 1532, 17977, 918, 6324, 880, 25881, 538, 7187, 12925, 563, 3719, 519, 4655, 1063, 519, 2475, 22433, 1221, 26219, 2229, 543, 6576, 1532, 17977, 26219, 30280, 814, 3144, 513, 1007, 2490, 713, 1032, 563, 288, 1007, 24044, 13933, 4308, 729, 9896, 2063, 3018, 267, 10678, 513, 2112, 602, 3459, 538, 476, 1001, 276, 543, 568, 1631, 4397, 547, 2063, 1776, 1032, 563, 2005, 729, 9896, 1310, 606, 5216, 18881, 23249, 538, 3984, 1988, 267, 799, 3459, 609, 6576, 26645, 2475, 23418, 9285, 918, 6324, 880, 4229, 538, 519, 4884, 540, 918, 984, 8643, 267, 16850, 779, 2034, 28376, 2749, 563, 763, 4308, 7125, 585, 519, 2132, 540, 7366, 540, 1004, 945, 723, 1044, 1033, 7134, 538, 519, 2749, 543, 519, 7525, 5305, 540, 14586, 563, 305, 17892, 543, 519, 2475, 723, 1044, 8165, 936, 519, 26219, 2749, 540, 22176, 653, 334, 2094, 476, 1001, 274, 267, 950, 6576, 9250, 513, 26645, 5859, 547, 2149, 519, 26219, 2229, 563, 763, 2136, 8315, 814, 1767, 602, 693, 2547, 476, 273, 267, 4968, 1004, 723, 5747, 2094, 519, 26219, 2112, 3459, 538, 476, 1001, 272, 563, 5415, 982, 476, 272, 2929, 5204, 20379, 723, 19679, 519, 2197, 267, 2687, 547, 519, 2136, 8315, 563, 5415, 281, 305, 17892, 814, 15034, 519, 2136, 2276, 540, 22745, 606, 968, 716, 540, 2112, 892, 593, 922, 3037, 538, 918, 984, 8643, 1310, 519, 24044, 13933, 4308, 563, 763, 918, 8145, 4802, 1767, 593, 11728, 602, 519, 2475, 568, 3423, 908, 3486, 1876, 543, 922, 7029, 547, 513, 968, 14706, 2389, 16260, 3609, 1996, 18483, 892, 676, 13389, 6739, 1425, 545, 18779, 945, 616, 8165, 519, 30280, 563, 763, 918, 8145, 4802, 814, 14578, 15034, 6115, 540, 1210, 513, 968, 325, 820, 19493, 5692, 892, 547, 3077, 922, 7980, 538, 918, 984, 534, 17845, 563, 28490, 713, 5106, 814, 1044, 9250, 538, 1931, 547, 2149, 9810, 1235, 543, 7803, 2609, 543, 547, 2417, 3186, 8494, 1125, 519, 3510, 538, 16850, 676, 13389, 4108, 4559, 540, 519, 26219, 12512, 267, 1287, 519, 2475, 814, 19500, 609, 513, 2312, 18670, 540, 3486, 1876, 2223, 30922, 1767, 593, 10732, 563, 4002, 11728, 267, 519, 6519, 5600, 9783, 513, 3948, 538, 799, 621, 1767, 602, 6576, 779, 6304, 729, 513, 968, 27234, 18670, 892, 540, 3486, 4031, 543, 26991, 922, 7029, 896, 519, 24044, 1922, 790, 6876, 547, 2149, 21127, 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 ]
[ 556, 2452, 532, 519, 1650, 538, 922, 2895, 1882, 1106, 1281, 711, 13822, 513, 14081, 566, 540, 519, 1650, 563, 310, 23808, 5058, 307, 2177, 267, 8734, 476, 866, 267, 476, 1220, 275, 630, 18197, 4964, 4139, 3842, 2910, 21587, 13052, 264, 4534, 772, 2529, 269, 4108, 8387, 1767, 606, 2810, 1297, 540, 9190, 5563, 538, 519, 18072, 616, 1373, 2938, 538, 7980, 538, 12925, 543, 15787, 563, 763, 5563, 616, 1813, 547, 519, 4551, 3600, 6839, 14385, 22678, 30977, 4512, 269, 901, 2356, 568, 711, 2938, 538, 3782, 5468, 855, 891, 2665, 616, 513, 6161, 1317, 519, 4551, 723, 2919, 4187, 547, 21734, 5061, 267, 513, 2319, 540, 4108, 8387, 267, 3366, 676, 3220, 269, 623, 11053, 269, 8845, 540, 8136, 6481, 24028, 11462, 11314, 538, 6115, 267, 4080, 538, 519, 15544, 585, 8376, 6513, 543, 10644, 781, 5651, 321, 7190, 543, 18200, 1275, 28315, 7797, 563, 763, 5563, 7018, 1063, 476, 1220, 273, 543, 476, 1220, 275, 269, 6168, 476, 10695, 2600, 540, 519, 2665, 941, 4080, 538, 7980, 13676, 538, 2238, 602, 941, 851, 540, 20491, 12925, 328, 15213, 543, 20491, 7736, 1005, 15213, 538, 15787, 563, 763, 5354, 540, 519, 7783, 7980, 941, 1373, 5701, 693, 8092, 560, 7795, 331, 13636, 6481, 4741, 538, 5125, 543, 19124, 32149, 8136, 6481, 4741, 538, 6115, 563, 763, 4108, 3173, 1767, 519, 4466, 19156, 519, 991, 585, 1007, 5061, 602, 666, 1521, 891, 5563, 563, 5445, 11943, 7114, 7783, 2550, 543, 7598, 3968, 8410, 24287, 3800, 267, 971, 607, 1688, 11067, 543, 10072, 540, 2550, 267, 1223, 948, 2061, 519, 4551, 689, 1373, 10299, 547, 824, 2550, 538, 891, 10506, 563, 15648, 476, 1220, 275, 676, 2136, 4964, 4139, 269, 0, 763, 6214, 540, 519, 5250, 540, 19710, 6608, 538, 3818, 268, 30710, 2829, 281, 513, 2013, 1353, 540, 519, 30645, 1101, 19710, 2229, 267, 476, 4198, 275, 268, 6872, 563, 301, 12342, 568, 513, 3818, 268, 30710, 1533, 282, 922, 5111, 1614, 3620, 4348, 543, 29235, 21144, 6803, 2516, 1118, 621, 513, 3818, 268, 30710, 1533, 1612, 17284, 269, 630, 272, 264, 901, 3818, 268, 30710, 640, 4018, 5809, 621, 585, 1018, 570, 867, 4752, 7125, 834, 1492, 10409, 3444, 30030, 540, 4000, 1701, 630, 273, 264, 2290, 7986, 10689, 5658, 540, 9111, 538, 3818, 268, 30710, 2829, 568, 519, 9000, 540, 25422, 17019, 3401, 543, 519, 11944, 610, 6228, 540, 1018, 666, 581, 1318, 569, 17941, 3084, 610, 18487, 2797, 3906, 568, 513, 678, 10846, 267, 952, 711, 606, 6207, 791, 1601, 2225, 269, 630, 274, 264, 4595, 2620, 5498, 730, 14940, 3592, 2141, 2061, 835, 2582, 5428, 610, 11134, 689, 13844, 2614, 25931, 16295, 610, 16018, 547, 581, 2111, 547, 1106, 519, 8998, 2229, 4805, 267, 519, 5250, 540, 24816, 1831, 17149, 269, 11569, 267, 519, 5250, 540, 24816, 568, 519, 10689, 5658, 540, 519, 11180, 3157, 540, 1034, 12683, 2829, 543, 811, 1419, 982, 711, 267, 519, 6617, 610, 6382, 540, 519, 11180, 3157, 540, 12683, 2829, 5673, 593, 519, 2078, 1063, 270, 600, 784, 19710, 4891, 563, 5472, 4800, 267, 538, 519, 2796, 540, 713, 2376, 267, 4016, 547, 1022, 6101, 7029, 540, 1079, 610, 811, 2797, 6105, 585, 2797, 6859, 267, 3226, 10888, 12836, 543, 7551, 1852, 1018, 5403, 543, 966, 1157, 619, 2165, 834, 17882, 338, 540, 12587, 1701, 19137, 568, 1031, 538, 713, 2376, 538, 519, 1482, 2631, 607, 22687, 3989, 676, 700, 6856, 543, 595, 776, 607, 834, 1410, 14032, 1496, 335, 11823, 316, 2324, 3347, 1851, 2516, 585, 519, 3483, 540, 8236, 513, 1857, 3609, 1701, 630, 276, 264, 1703, 616, 1079, 2010, 540, 24816, 734, 19491, 7394, 543, 12044, 269, 2755, 519, 5449, 616, 4646, 585, 519, 3119, 3483, 540, 10888, 12836, 267, 519, 8545, 616, 4646, 585, 519, 5301, 540, 8236, 543, 16734, 3609, 6859, 630, 12898, 12836, 616, 4465, 1040, 901, 2376, 9388, 609, 519, 8545, 269, 634, 3483, 540, 713, 2376, 568, 1079, 24670, 269, 2290, 267, 621, 11394, 547, 3801, 513, 2565, 2079, 540, 519, 2188, 602, 5483, 519, 5250, 540, 519, 715, 15425, 9539, 290, 10998, 630, 301, 4899, 4658, 781, 6837, 9539, 1049, 7027, 540, 13280, 543, 519, 6682, 3266, 976, 10807, 19710, 693, 519, 3932, 540, 519, 476, 4198, 275, 5313, 9550, 282, 543, 1079, 267, 621, 8942, 547, 4983, 267, 538, 3140, 5133, 267, 519, 4539, 540, 519, 715, 15425, 9539, 290, 10998, 19710, 593, 519, 30645, 11180, 1184, 269, 476, 4198, 275, 568, 606, 1271, 4266, 538, 519, 2797, 1686, 540, 13280, 269, 18766, 689, 519, 1249, 602, 519, 1101, 5313, 9550, 538, 519, 2197, 729, 4371, 538, 602, 1032, 267, 621, 729, 538, 602, 1032, 602, 1018, 666, 581, 5265, 5219, 547, 607, 19710, 3766, 17922, 729, 1101, 4646, 538, 13280, 269, 1717, 267, 585, 513, 561, 16112, 543, 6209, 2126, 540, 519, 1641, 2173, 2660, 540, 713, 2376, 267, 513, 9425, 2143, 6514, 540, 519, 2470, 543, 1764, 540, 3703, 7810, 7245, 538, 13280, 568, 16832, 269, 769, 3257, 713, 267, 519, 6381, 602, 2663, 25997, 519, 5250, 540, 24816, 538, 13280, 616, 5693, 4547, 547, 519, 2062, 563, 2862, 269, 30645, 20616, 4790, 4801, 543, 741, 2578, 22989, 531, 570, 754, 4293, 454, 763, 2025, 21308, 616, 4666, 267, 596, 723, 7166, 873, 269, 3767, 267, 891, 616, 519, 1913, 799, 594, 267, 519, 4400, 30934, 267, 723, 547, 2161, 585, 519, 2104, 269, 634, 27975, 8643, 267, 538, 2025, 2053, 267, 896, 8355, 674, 617, 1470, 22482, 713, 2197, 269, 1358, 3576, 519, 1318, 547, 4341, 936, 621, 267, 547, 682, 11803, 9204, 267, 1244, 846, 15438, 543, 1711, 15438, 269, 1358, 538, 2490, 267, 723, 676, 14710, 267, 4503, 741, 4341, 799, 814, 2097, 883, 519, 3946, 540, 519, 3703, 3267, 5272, 29001, 543, 2506, 597, 543, 519, 9030, 10492, 540, 1533, 786, 581, 12912, 676, 519, 4400, 30934, 267, 2429, 782, 713, 2197, 269, 630, 277, 994, 4415, 519, 1657, 4633, 676, 11184, 12049, 4459, 700, 1872, 731, 1247, 6966, 532, 15011, 25428, 5900, 1695, 597, 340, 4083, 607, 519, 2506, 597, 540, 590, 758, 9369, 267, 519, 791, 3789, 540, 3703, 4341, 593, 13280, 267, 610, 1018, 2279, 580, 2692, 6257, 607, 519, 834, 1478, 628, 992, 540, 6805, 6392, 257, 729, 6192, 267, 1498, 22836, 540, 4187, 547, 519, 791, 3789, 540, 3703, 7810, 4341, 936, 519, 3003, 11769, 2663, 1634, 607, 13280, 4797, 1134, 3564, 476, 4489, 275, 269, 630, 278, 264, 634, 2188, 3743, 585, 519, 791, 3789, 540, 7810, 4341, 593, 13280, 630, 663, 593, 4000, 3622, 264, 1185, 1044, 9916, 676, 1082, 4589, 543, 5640, 267, 543, 789, 991, 711, 581, 7368, 1934, 269, 630, 279, 264, 898, 568, 4051, 633, 547, 2253, 938, 2079, 609, 519, 19722, 2630, 912, 306, 4869, 344, 1296, 3516, 267, 972, 729, 1100, 2197, 1572, 13280, 269, 1548, 568, 1631, 13280, 15538, 540, 513, 1297, 540, 1804, 543, 1507, 2950, 782, 540, 799, 941, 1114, 538, 741, 19773, 338, 543, 4978, 269, 634, 4417, 540, 519, 3703, 543, 540, 5375, 2069, 814, 711, 1570, 569, 12012, 519, 3510, 543, 1346, 1082, 543, 9867, 2950, 723, 711, 5679, 527, 2933, 883, 513, 12432, 1770, 269, 630, 280, 994, 2691, 519, 715, 15425, 6205, 267, 11184, 13259, 24703, 340, 645, 10314, 267, 1767, 891, 1913, 593, 519, 6989, 540, 519, 8549, 5600, 540, 24929, 538, 4728, 476, 4198, 274, 538, 1010, 4831, 5163, 547, 12751, 20900, 2037, 1695, 19660, 781, 9976, 8682, 8566, 17922, 18289, 267, 711, 513, 1906, 590, 719, 615, 2996, 1630, 334, 539, 1864, 282, 2943, 519, 590, 731, 320, 10044, 729, 4440, 1818, 513, 4570, 543, 6662, 4879, 540, 519, 2188, 602, 941, 3743, 585, 519, 2620, 268, 549, 6838, 1253, 6412, 543, 1035, 3234, 3415, 1851, 30645, 9082, 543, 14761, 269, 1703, 729, 1100, 10923, 11769, 1634, 607, 13280, 2394, 519, 1647, 540, 5130, 476, 6245, 278, 269, 769, 513, 4583, 630, 528, 25337, 264, 2376, 538, 519, 5507, 8648, 540, 476, 279, 5130, 540, 602, 1032, 267, 922, 20616, 5330, 550, 267, 7579, 320, 26396, 267, 6700, 602, 519, 14919, 540, 782, 519, 10034, 543, 14252, 610, 519, 2149, 28672, 9967, 540, 1082, 6803, 3084, 885, 538, 519, 20997, 1858, 1058, 581, 1572, 834, 301, 12342, 1701, 634, 30843, 540, 891, 9867, 543, 19635, 23693, 267, 25267, 267, 6082, 543, 11031, 568, 1018, 568, 1631, 1634, 607, 13280, 269, 630, 1015, 264, 901, 10522, 602, 693, 519, 4098, 540, 519, 562, 31106, 2540, 267, 519, 10923, 11769, 799, 2663, 2968, 13280, 15538, 540, 1896, 4830, 6805, 2829, 971, 607, 519, 6196, 744, 14623, 7276, 267, 519, 5484, 514, 8003, 267, 519, 661, 330, 16951, 3751, 20819, 267, 519, 18004, 334, 7276, 267, 519, 670, 9476, 320, 2276, 630, 331, 831, 519, 590, 758, 9369, 2836, 13023, 622, 1070, 519, 4130, 16857, 4559, 540, 519, 16384, 2692, 543, 519, 594, 6798, 984, 1470, 267, 3092, 269, 1809, 593, 476, 272, 5130, 476, 4489, 275, 267, 782, 891, 834, 785, 8817, 257, 6082, 4503, 741, 13190, 543, 941, 11368, 883, 519, 9241, 2813, 10923, 11769, 1572, 13280, 269, 630, 1556, 994, 2005, 1590, 581, 15091, 267, 2705, 267, 602, 519, 13841, 1927, 540, 519, 1585, 30645, 6082, 883, 513, 2582, 10923, 543, 834, 335, 11823, 257, 11769, 896, 519, 17135, 268, 7049, 5644, 1222, 540, 11184, 19291, 630, 331, 831, 7083, 264, 700, 1872, 731, 729, 711, 5483, 676, 1022, 7287, 593, 519, 851, 540, 519, 3703, 7810, 7245, 547, 1711, 513, 2178, 543, 8087, 30645, 4182, 269, 1306, 513, 16159, 814, 1318, 569, 4767, 267, 834, 604, 519, 31498, 14212, 540, 476, 4489, 275, 729, 6322, 693, 519, 2797, 12760, 540, 519, 3345, 543, 3162, 267, 621, 1705, 711, 723, 519, 6662, 540, 2679, 513, 19618, 1533, 6862, 1705, 519, 3703, 679, 6665, 720, 267, 676, 519, 1121, 582, 652, 8482, 540, 9345, 267, 602, 513, 834, 31766, 257, 1131, 10836, 689, 519, 834, 613, 641, 565, 640, 1701, 630, 1321, 264, 4014, 267, 1772, 11867, 781, 2070, 949, 711, 581, 11613, 2953, 267, 621, 568, 849, 711, 7357, 4636, 269, 898, 568, 4061, 711, 9670, 602, 538, 19220, 540, 519, 31498, 14212, 267, 519, 3162, 543, 3345, 540, 13280, 941, 12873, 607, 5094, 2797, 9988, 609, 2370, 610, 1100, 2797, 5872, 1063, 873, 269, 634, 1152, 3364, 519, 3345, 543, 3162, 540, 13280, 1185, 538, 1455, 729, 519, 7209, 540, 12049, 4459, 700, 1872, 731, 269, 769, 835, 540, 1010, 5359, 547, 519, 20616, 8433, 267, 11184, 700, 1872, 731, 11329, 856, 602, 834, 301, 12342, 568, 513, 2197, 5258, 883, 1079, 676, 606, 17062, 1899, 540, 20173, 1701, 630, 1724, 264, 634, 31498, 14212, 729, 5921, 547, 4894, 713, 834, 1467, 540, 20173, 2437, 855, 621, 2760, 2731, 1705, 602, 3927, 1317, 540, 1018, 744, 3000, 12011, 328, 6257, 607, 834, 11365, 30063, 257, 593, 519, 851, 540, 519, 3703, 7810, 7245, 827, 8156, 519, 3345, 543, 3162, 540, 13280, 607, 513, 2582, 2797, 11769, 1701, 11569, 267, 29615, 31828, 599, 328, 814, 11130, 602, 834, 1492, 19261, 538, 519, 2797, 1379, 3830, 538, 519, 30645, 1135, 640, 729, 711, 23139, 855, 22393, 9709, 543, 29846, 676, 519, 20616, 8387, 1701, 630, 1428, 994, 2026, 715, 342, 629, 1872, 25975, 690, 340, 814, 11329, 856, 267, 998, 1010, 4507, 267, 700, 1872, 731, 9788, 519, 5748, 540, 14940, 543, 771, 29774, 538, 13280, 269, 700, 1872, 731, 781, 25916, 531, 2238, 1131, 4440, 723, 1044, 20328, 609, 1010, 22576, 689, 13280, 538, 476, 4489, 280, 543, 519, 13393, 540, 11184, 670, 7676, 1849, 858, 867, 607, 17135, 1185, 519, 20616, 8433, 1185, 4847, 519, 6388, 540, 1849, 858, 867, 781, 834, 29774, 11556, 1701, 630, 1626, 264, 2201, 14322, 5604, 267, 1849, 858, 867, 1336, 547, 1010, 669, 698, 12541, 602, 14940, 543, 771, 29774, 941, 519, 10689, 12201, 540, 519, 9241, 2813, 2197, 269, 4340, 547, 715, 342, 629, 1872, 25975, 690, 340, 267, 1849, 858, 867, 22309, 1010, 31317, 585, 17528, 547, 26595, 519, 2197, 543, 11329, 856, 602, 31498, 14212, 1058, 834, 17884, 958, 17538, 930, 3801, 547, 19467, 883, 513, 2582, 2898, 1701, 1849, 858, 867, 733, 2105, 602, 1018, 5949, 538, 13280, 538, 476, 4489, 275, 729, 711, 31498, 14212, 267, 855, 834, 680, 5217, 540, 513, 2582, 812, 693, 519, 2212, 540, 1079, 5094, 7810, 3267, 11182, 1701, 11569, 267, 538, 513, 14804, 8357, 663, 636, 547, 7083 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 547, 3970, 4542, 1267, 547, 5021, 610, 5934, 1871, 538, 9185, 888, 2080, 616, 930, 2281, 2877, 547, 581, 9411, 267, 543, 1631, 594, 1616, 547, 946, 513, 4542, 547, 2040, 909, 519, 2281, 855, 3970, 519, 1267, 547, 513, 5021, 1871, 971, 607, 476, 1911, 269, 769, 824, 1913, 267, 952, 519, 14805, 566, 568, 4130, 982, 476, 1911, 267, 4159, 519, 14805, 566, 267, 6382, 4159, 476, 1911, 563, 15675, 19204, 609, 7665, 1299, 3687, 10025, 1599, 666, 3533, 2824, 519, 4102, 610, 10545, 1239, 689, 513, 2039, 267, 1142, 6241, 610, 1142, 4737, 563, 347, 272, 264, 8564, 519, 2281, 1826, 596, 1616, 547, 1265, 3193, 610, 1295, 1871, 689, 514, 519, 6733, 538, 1592, 2676, 9767, 666, 1265, 519, 5021, 1871, 538, 1312, 4542, 543, 1871, 2281, 267, 610, 1152, 4542, 2281, 267, 610, 1152, 1871, 2281, 3248, 273, 264, 10410, 1518, 547, 1265, 856, 1295, 1871, 610, 3193, 1871, 538, 3619, 547, 3296, 3248, 274, 264, 1403, 596, 1616, 547, 1265, 3193, 1871, 1759, 593, 1142, 6241, 267, 2638, 9980, 790, 6241, 538, 12476, 3296, 3248, 275, 264, 1677, 1265, 856, 782, 3193, 2418, 267, 2638, 2353, 2281, 538, 8564, 3296, 267, 952, 596, 1175, 991, 547, 1265, 519, 1101, 17729, 3193, 1871, 267, 2638, 3689, 1591, 1152, 563, 2750, 4897, 8605, 2032, 13088, 454, 19423, 823, 21741, 281, 20780, 3532, 29601, 547, 8433, 630, 514, 2850, 9185, 1070, 1175, 899, 24904, 267, 6380, 926, 267, 32288, 2135, 543, 5769, 25817, 269, 16440, 596, 3368, 519, 942, 267, 543, 2569, 5215, 540, 10856, 30390, 585, 596, 269, 476, 1789, 6377, 1133, 15905, 5131, 23632, 454, 298, 583, 8962, 585, 9185, 281, 16440, 476, 3583, 260, 540, 707, 942, 543, 4194, 476, 3199, 260, 9185, 2042, 585, 596, 269, 476, 4968, 266, 4359, 2934, 2966, 585, 476, 5611, 271, 266, 960, 9183, 267, 1118, 9185, 1454, 2653, 543, 2333, 7607, 5612, 269, 2568, 6377, 1133, 15905, 5131, 23632, 454, 2414, 6023, 713, 4305, 267, 596, 1152, 991, 547, 4019, 519, 7665, 610, 3687, 1599, 538, 9185, 563, 21918, 527, 4542, 1267, 547, 5021, 1871, 630, 1911, 994, 15675, 513, 1591, 799, 596, 786, 1747, 519, 4542, 693, 267, 1826, 713, 4542, 815, 300, 2562, 263, 1911, 267, 263, 306, 9331, 10490, 276, 281, 288, 1015, 4297, 1070, 589, 276, 281, 288, 1015, 568, 519, 1591, 2039, 596, 786, 2040, 909, 267, 543, 2046, 9373, 269, 3767, 267, 952, 519, 14805, 566, 568, 3152, 982, 476, 1911, 267, 621, 786, 4159, 476, 1911, 267, 952, 711, 267, 4159, 519, 14805, 566, 563, 347, 11764, 332, 566, 568, 3152, 982, 476, 1911, 267, 1397, 476, 1911, 2008, 347, 11764, 332, 566, 568, 4130, 982, 476, 1911, 267, 1397, 14805, 566, 2008, 21918, 527, 4542, 1267, 547, 5934, 1871, 630, 736, 994, 15675, 513, 1591, 799, 596, 1747, 519, 4542, 693, 267, 1826, 713, 815, 30538, 311, 263, 736, 267, 263, 306, 9331, 10490, 276, 281, 288, 1015, 4297, 1070, 589, 276, 281, 288, 1015, 568, 519, 1591, 2039, 596, 786, 2040, 909, 267, 543, 2046, 9373, 269, 3767, 267, 952, 519, 14805, 566, 568, 4130, 982, 476, 736, 267, 621, 786, 4159, 476, 736, 282, 952, 711, 267, 4159, 519, 14805, 566, 563, 347, 11764, 332, 566, 568, 1507, 2401, 982, 476, 736, 267, 1397, 476, 736, 2008, 347, 11764, 332, 566, 568, 3152, 982, 476, 736, 267, 1397, 14805, 566, 347, 0, 4415, 519, 2487, 11601, 540, 519, 7206, 267, 8525, 476, 275, 540, 11518, 619, 976, 12426, 3883, 1547, 1547, 476, 1421, 676, 570, 7978, 918, 7469, 541, 267, 543, 519, 26832, 16304, 17001, 267, 20531, 1299, 6356, 267, 676, 1684, 14208, 2672, 327, 267, 519, 22616, 528, 8551, 4741, 454, 520, 18628, 2160, 814, 3773, 1079, 1713, 1568, 547, 922, 4015, 602, 4704, 875, 7142, 543, 18894, 1027, 2518, 9194, 2981, 2123, 543, 2686, 3961, 563, 763, 11601, 540, 891, 1568, 7028, 519, 5075, 540, 19626, 667, 871, 9007, 267, 519, 3627, 543, 808, 650, 6154, 16582, 5341, 10615, 540, 519, 22616, 528, 267, 547, 3142, 519, 9754, 16119, 883, 519, 476, 2641, 560, 2540, 998, 4203, 29792, 267, 24218, 267, 543, 3292, 602, 4183, 4145, 4143, 547, 519, 4948, 2729, 540, 1053, 543, 824, 8436, 269, 594, 1589, 1148, 267, 5159, 267, 543, 1148, 1686, 723, 519, 1761, 547, 4161, 513, 4529, 26608, 18727, 18765, 540, 3294, 543, 679, 13097, 721, 547, 824, 2081, 540, 1620, 519, 1158, 267, 1352, 1767, 269, 11109, 891, 1148, 1568, 693, 519, 9754, 786, 5512, 721, 547, 723, 7391, 827, 2352, 3584, 689, 2789, 2798, 540, 2070, 563, 17273, 476, 275, 568, 1018, 918, 7469, 541, 7125, 513, 3308, 1065, 9653, 267, 543, 12851, 547, 513, 3126, 540, 13545, 23609, 31935, 20665, 1694, 1562, 607, 15685, 2367, 543, 2021, 269, 1635, 8204, 873, 538, 3140, 10571, 14436, 540, 513, 4567, 1657, 519, 835, 789, 5030, 267, 918, 7469, 541, 11617, 1954, 525, 1010, 1694, 614, 689, 17760, 29713, 269, 634, 3068, 540, 519, 1641, 568, 25848, 3293, 676, 519, 946, 540, 13545, 267, 799, 5267, 519, 1694, 1562, 1045, 529, 2225, 269, 918, 7469, 1513, 7499, 2259, 8362, 22851, 609, 1148, 1686, 538, 1931, 547, 8495, 922, 2099, 1049, 31716, 267, 609, 2543, 547, 1312, 1018, 568, 6719, 267, 543, 945, 568, 3257, 519, 8204, 267, 1767, 22176, 525, 320, 12138, 267, 13930, 1225, 1807, 540, 1977, 1148, 563, 1103, 519, 2013, 540, 8525, 476, 275, 267, 519, 7206, 729, 2813, 609, 1808, 4704, 547, 7338, 11518, 619, 976, 12426, 3883, 267, 799, 3568, 8638, 540, 11518, 619, 976, 10437, 267, 1082, 4857, 1152, 676, 741, 1101, 4408, 269, 2755, 918, 7469, 1513, 2511, 8100, 519, 2757, 9135, 540, 2823, 571, 8132, 267, 1010, 2409, 540, 5466, 519, 666, 341, 817, 17774, 659, 996, 893, 5969, 267, 562, 9430, 267, 543, 8720, 1010, 5515, 609, 13545, 529, 4956, 569, 4207, 269, 9717, 602, 18628, 729, 849, 3710, 593, 513, 3484, 267, 543, 602, 519, 12254, 325, 3581, 6964, 4457, 31356, 267, 2348, 713, 4062, 538, 938, 4015, 786, 5352, 4277, 19320, 17709, 540, 3408, 543, 4901, 267, 1767, 12138, 269, 8525, 476, 275, 568, 519, 1101, 960, 676, 918, 7469, 541, 547, 4283, 519, 22616, 832, 4015, 543, 786, 581, 593, 4159, 538, 519, 14266, 634, 23839, 1772, 519, 24606, 281, 3203, 2094, 476, 4198, 271, 5988, 476, 2537, 20606, 476, 1240, 267, 476, 1001, 280, 563, 290, 1021, 1299, 6356, 568, 7768, 540, 7366, 540, 1507, 267, 10477, 267, 28778, 5515, 267, 799, 1106, 513, 15224, 958, 27214, 4705, 267, 13409, 11057, 669, 28888, 1512, 17735, 689, 519, 18109, 543, 8757, 3592, 547, 519, 6989, 269, 634, 25872, 540, 519, 5515, 267, 799, 1694, 2390, 1142, 1866, 17525, 267, 2303, 519, 2597, 543, 538, 525, 5115, 1464, 540, 3283, 1686, 269, 2672, 26387, 960, 267, 799, 1419, 8100, 6469, 6189, 543, 23732, 267, 2055, 2686, 543, 12716, 3604, 1063, 1010, 5065, 9705, 543, 1010, 7550, 5321, 538, 519, 2136, 2276, 543, 2342, 269, 17006, 713, 11617, 8903, 543, 1950, 960, 547, 938, 4015, 786, 1450, 721, 547, 3136, 547, 723, 1271, 5717, 827, 30427, 3961, 543, 875, 649, 10146, 519, 2250, 1247, 2713, 538, 519, 1459, 267, 667, 871, 9007, 1767, 563, 290, 1021, 1299, 6356, 568, 513, 12050, 543, 1271, 960, 267, 15202, 519, 22616, 832, 7029, 547, 8858, 811, 1568, 540, 4207, 1148, 676, 5159, 689, 5607, 267, 1767, 22087, 2742, 667, 269, 631, 7159, 1633, 267, 18536, 808, 269, 808, 269, 631, 1511, 1214, 19608, 4354, 1807, 540, 7489, 3203, 269, 901, 568, 519, 1101, 960, 676, 2672, 327, 547, 581, 3773, 547, 519, 22616, 832, 4015, 543, 568, 593, 4159, 609, 1079, 824, 1568, 676, 519, 7376, 538, 519, 14266, 1684, 14208, 2672, 327, 281, 634, 28805, 538, 9737, 269, 0, 29878, 321, 731, 4667, 547, 616, 2907, 2978, 1681, 9944, 519, 3765, 24483, 602, 267, 952, 6837, 13684, 513, 3454, 968, 517, 892, 4747, 267, 543, 769, 519, 2680, 519, 27710, 9707, 6170, 519, 6666, 2095, 538, 4434, 540, 6837, 1223, 2445, 519, 3454, 267, 1287, 6837, 666, 581, 8572, 547, 5531, 519, 3454, 538, 519, 13581, 652, 4110, 269, 1809, 602, 568, 9090, 20060, 1619, 563, 2108, 17812, 816, 8246, 1100, 10148, 607, 2509, 519, 2707, 540, 3454, 762, 2256, 328, 14186, 267, 6862, 25516, 10297, 607, 585, 741, 3993, 2470, 269, 1656, 849, 519, 7040, 546, 12714, 814, 9138, 513, 12666, 2679, 547, 713, 3376, 8360, 1108, 538, 6284, 538, 519, 9837, 540, 6837, 547, 3454, 782, 12374, 4849, 15706, 3226, 23614, 539, 3034, 763, 3661, 602, 968, 335, 675, 2924, 892, 666, 1405, 581, 3454, 539, 568, 1152, 6999, 995, 11842, 267, 855, 3454, 1486, 22246, 538, 930, 2665, 13712, 930, 632, 21082, 24185, 689, 13061, 7653, 799, 789, 18461, 5583, 741, 13307, 267, 799, 1331, 912, 763, 2724, 3454, 666, 711, 8415, 547, 2189, 4961, 267, 1813, 547, 519, 1249, 602, 1223, 1831, 513, 968, 9404, 18957, 3454, 892, 19275, 998, 519, 9139, 563, 289, 2940, 987, 519, 12474, 540, 32700, 799, 941, 538, 1764, 1851, 519, 1101, 476, 1724, 2829, 689, 7115, 538, 519, 3731, 2305, 689, 519, 12856, 538, 476, 9692, 271, 267, 6837, 1705, 6157, 1810, 1405, 723, 1022, 5201, 547, 15357, 4808, 4299, 2367, 543, 2021, 267, 855, 1152, 547, 1270, 9974, 9489, 998, 519, 2829, 543, 2932, 3486, 12602, 563, 2108, 3719, 6986, 3656, 2924, 267, 865, 1634, 607, 267, 616, 1175, 607, 1454, 1888, 547, 21259, 607, 3656, 2924, 540, 14758, 1390, 2956, 269, 1323, 2300, 1047, 786, 711, 581, 3908, 547, 4938, 725, 610, 3527, 602, 949, 581, 19275, 4625, 563, 2108, 314, 307, 316, 515, 19614, 540, 634, 721, 1058, 581, 4607, 538, 519, 1482, 8513, 267, 609, 519, 3169, 2043, 267, 543, 2300, 1047, 9204, 1058, 581, 10356, 1369, 519, 2147, 3527, 267, 607, 616, 849, 6913, 1317, 540, 519, 2829, 538, 1931, 547, 1489, 741, 6237, 12044, 7245, 3034, 3719, 1813, 547, 519, 1249, 3454, 1486, 22246, 8399, 547, 31274, 602, 513, 3454, 593, 26038, 729, 513, 968, 9404, 18957, 3454, 892, 1312, 1354, 519, 3731, 2305, 689, 519, 31303, 3525, 2305, 543, 5310, 19952, 267, 513, 2656, 1686, 540, 707, 10966, 7040, 779, 7664, 540, 968, 9404, 18957, 3454, 892, 568, 5078, 563, 763, 15271, 3454, 799, 729, 13934, 1282, 519, 2717, 6674, 3903, 729, 6697, 267, 543, 634, 13557, 12705, 7620, 13351, 1524, 519, 3454, 593, 26038, 689, 7221, 630, 328, 4318, 1421, 10519, 338, 267, 18697, 267, 543, 27993, 1070, 855, 1287, 4682, 593, 547, 1533, 602, 267, 952, 1152, 519, 3454, 593, 7279, 267, 10519, 338, 267, 27993, 267, 543, 824, 15271, 689, 3959, 941, 1373, 13856, 796, 6247, 6627, 267, 968, 10472, 1131, 979, 2476, 519, 4452, 538, 519, 3454, 547, 1831, 28703, 676, 22825, 267, 23194, 267, 2308, 906, 267, 610, 4938, 725, 282, 1306, 1134, 607, 538, 899, 602, 513, 3454, 593, 2724, 1131, 1832, 593, 1373, 538, 6219, 513, 3454, 593, 23909, 543, 4074, 563, 1607, 3948, 568, 3144, 689, 1893, 3330, 519, 8369, 540, 519, 2136, 2276, 10966, 7040, 3336, 3330, 519, 5696, 2313, 629, 518, 543, 853, 656, 517, 7653, 543, 267, 607, 10353, 547, 1034, 824, 3454, 1486, 6856, 20060, 1619, 267, 621, 568, 2731, 2953, 563, 763, 15271, 3454, 3274, 3112, 946, 547, 4961, 3544, 540, 519, 10588, 540, 12052, 267, 519, 11182, 540, 3013, 267, 2059, 609, 519, 585, 1206, 543, 4108, 2533, 13279, 540, 519, 2136, 2276, 267, 2094, 519, 5313, 8128, 814, 1100, 16278, 3544, 540, 15706, 968, 325, 3985, 9634, 3034, 2108, 5522, 5593, 858, 5526, 547, 8044, 602, 2687, 547, 519, 590, 4869, 7570, 3525, 2305, 267, 5313, 6666, 2095, 3454, 3884, 1405, 513, 7525, 3454, 593, 13848, 610, 23269, 540, 2043, 267, 855, 602, 621, 568, 606, 2300, 1047, 3454, 936, 519, 17979, 540, 851, 1136, 538, 1978, 29341, 610, 14931, 2962, 269, 9182, 267, 769, 1899, 609, 27674, 858, 267, 713, 2048, 785, 1311, 2300, 1047, 3454, 685, 666, 1152, 581, 13684, 936, 519, 8907, 540, 10909, 607, 1134, 607, 26318, 2724, 540, 6006, 6868, 563, 32701, 519, 5480, 1247, 538, 519, 1360, 2104, 4845, 10294, 602, 968, 2026, 513, 1267, 267, 621, 1496, 1492, 1448, 856, 316, 1522, 711, 5730, 513, 12689, 3454, 609, 519, 17979, 540, 8876, 593, 954, 8063, 16450, 630, 322, 2787, 31360, 1070, 4352, 621, 1522, 3454, 519, 7221, 14146 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31372, 856, 269, 10251, 267, 538, 3665, 2665, 267, 13687, 749, 2670, 666, 2014, 25687, 543, 1831, 513, 1272, 18446, 4576, 563, 273, 269, 13158, 645, 924, 674, 1197, 630, 305, 289, 293, 994, 31359, 8983, 849, 4163, 3731, 1532, 924, 8611, 267, 849, 1634, 607, 681, 289, 293, 610, 670, 11232, 24824, 8611, 269, 901, 568, 606, 11763, 2068, 3361, 676, 1079, 4551, 12490, 281, 6790, 696, 984, 26808, 1395, 559, 6134, 529, 630, 11398, 538, 519, 772, 2529, 4700, 543, 9454, 650, 636, 14263, 630, 11398, 538, 5607, 1916, 7197, 1004, 1831, 7783, 1310, 7829, 23224, 899, 2777, 8983, 602, 4163, 519, 2068, 610, 676, 10438, 1426, 610, 1216, 13572, 609, 519, 4551, 269, 898, 568, 3226, 1271, 547, 4585, 856, 585, 1022, 2589, 952, 596, 723, 1044, 29565, 3481, 610, 3787, 1084, 676, 513, 2777, 10856, 269, 7216, 5868, 543, 1697, 2126, 616, 2629, 607, 713, 2068, 666, 581, 14603, 563, 13349, 2589, 540, 1792, 696, 984, 659, 16736, 681, 289, 293, 1331, 8611, 267, 13481, 267, 15677, 267, 4745, 1928, 267, 543, 16420, 269, 634, 16420, 267, 17729, 607, 513, 6366, 267, 23551, 2989, 1858, 609, 27894, 267, 949, 2408, 593, 519, 3946, 543, 3952, 2395, 1310, 4742, 7783, 269, 25095, 7821, 616, 519, 1152, 2126, 585, 713, 4576, 543, 666, 581, 2500, 693, 27955, 519, 2068, 563, 5575, 6444, 538, 476, 1960, 274, 538, 519, 27623, 2136, 2276, 267, 16429, 32633, 3691, 670, 656, 8785, 15544, 585, 8376, 6513, 543, 10644, 267, 930, 554, 656, 822, 21905, 666, 2014, 513, 4686, 855, 14686, 2068, 1572, 670, 656, 8785, 17240, 14004, 15540, 630, 295, 4916, 1916, 1103, 519, 772, 2529, 1421, 670, 656, 8785, 568, 1034, 4122, 5645, 676, 13650, 8983, 269, 1809, 3043, 20356, 539, 8983, 267, 10412, 14148, 267, 7573, 14148, 267, 543, 2777, 8983, 616, 1634, 19057, 540, 670, 656, 822, 21905, 4929, 670, 4916, 269, 634, 3644, 568, 2356, 10299, 950, 887, 4823, 10729, 267, 5323, 25940, 610, 21224, 2326, 616, 13489, 1042, 909, 267, 4742, 23197, 630, 21865, 1247, 7738, 513, 19970, 267, 25880, 610, 1753, 264, 543, 616, 31067, 676, 1004, 563, 21618, 540, 670, 656, 8785, 1331, 9854, 267, 8611, 543, 4887, 31191, 543, 789, 2356, 2408, 476, 272, 268, 276, 4374, 1310, 4598, 269, 9050, 547, 476, 1015, 2395, 1310, 519, 3355, 5123, 540, 519, 4576, 568, 950, 3735, 2589, 540, 670, 656, 8785, 949, 1020, 267, 1519, 23472, 267, 7411, 7244, 267, 1970, 1973, 2604, 267, 543, 12150, 2295, 2557, 269, 4762, 3305, 566, 540, 3968, 568, 6913, 676, 513, 1973, 1449, 269, 1703, 568, 1100, 1225, 894, 9859, 3797, 585, 713, 3644, 267, 855, 609, 2038, 6284, 543, 11215, 5574, 267, 23567, 585, 519, 3461, 10607, 563, 275, 269, 700, 8233, 7514, 6776, 932, 9461, 1580, 532, 4345, 630, 9448, 300, 994, 9448, 300, 568, 606, 11763, 2068, 602, 2777, 8983, 4163, 602, 568, 3361, 676, 519, 9726, 7514, 6776, 669, 9461, 1580, 532, 4345, 3644, 630, 9448, 300, 309, 1040, 5600, 8983, 616, 519, 1292, 3984, 540, 713, 2068, 267, 609, 606, 6059, 476, 276, 2600, 540, 2777, 8983, 8876, 543, 23142, 621, 563, 2026, 609, 670, 656, 8785, 267, 713, 3644, 666, 581, 10299, 1310, 4598, 547, 887, 4823, 5323, 25940, 610, 21224, 2326, 269, 8447, 3346, 609, 606, 7783, 887, 4823, 267, 2523, 689, 17486, 610, 29565, 2583, 267, 666, 1291, 547, 3968, 269, 3958, 267, 9176, 7606, 666, 10141, 700, 13967, 547, 741, 15556, 4929, 4332, 12889, 610, 1256, 31761, 563, 2467, 616, 1079, 11775, 540, 713, 3968, 281, 1875, 10391, 267, 2770, 6438, 2589, 543, 11719, 545, 2068, 269, 634, 1101, 5123, 814, 2589, 971, 607, 8611, 267, 3668, 540, 14031, 267, 4887, 31191, 543, 14331, 269, 634, 2034, 5123, 267, 2687, 547, 519, 15509, 267, 2882, 2589, 899, 23971, 4345, 630, 560, 858, 8405, 267, 15677, 267, 3092, 13776, 29363, 4345, 630, 338, 29022, 18063, 267, 5179, 17244, 267, 546, 4900, 1465, 267, 3092, 4700, 543, 23971, 334, 775, 13921, 4345, 269, 4107, 945, 1020, 14715, 2068, 1644, 547, 700, 13967, 309, 7639, 855, 1419, 2154, 30674, 543, 11215, 1416, 563, 1692, 547, 16473, 15302, 2961, 3072, 676, 631, 823, 538, 519, 5600, 454, 3086, 602, 649, 917, 2777, 8983, 798, 4163, 3676, 267, 621, 779, 1271, 547, 2061, 23224, 899, 873, 689, 3468, 532, 596, 543, 707, 1920, 269, 634, 1655, 1505, 540, 6604, 568, 9319, 3346, 609, 23224, 543, 5329, 909, 609, 27194, 543, 1655, 31978, 545, 2853, 269, 5600, 8983, 666, 16196, 3533, 267, 1818, 621, 2352, 547, 1852, 606, 23588, 269, 1703, 616, 1082, 2081, 547, 5544, 2777, 8983, 538, 707, 1753, 267, 971, 607, 5323, 25940, 267, 28594, 1177, 7436, 267, 20097, 267, 543, 811, 563, 3528, 519, 942, 606, 23588, 568, 8068, 267, 8983, 723, 2693, 13572, 1896, 3688, 538, 707, 1753, 267, 971, 607, 4831, 339, 3591, 267, 707, 1426, 267, 543, 1256, 707, 28750, 269, 4475, 267, 621, 568, 1271, 547, 960, 609, 513, 11641, 1852, 3318, 952, 596, 5544, 513, 10856, 538, 707, 2777, 1317, 621, 568, 1898, 547, 3533, 1205, 6619, 540, 519, 1966, 269, 1403, 8983, 723, 1102, 6479, 606, 1858, 540, 519, 1753, 267, 30749, 568, 2565, 269, 2142, 2386, 547, 5957, 1697, 8825, 10591, 971, 607, 17309, 543, 13968, 547, 2149, 596, 689, 4947, 883, 3346, 609, 10032, 3688, 543, 21224, 1570, 602, 1223, 581, 865, 8898, 538, 10729, 543, 28797, 269, 0, 288, 26570, 1760, 926, 609, 707, 4816, 14767, 513, 13858, 7045, 267, 9284, 532, 707, 1920, 538, 519, 22986, 779, 15999, 24738, 543, 4992, 269, 9866, 6326, 16678, 7320, 543, 2371, 909, 2673, 5932, 9589, 3838, 8823, 540, 2470, 779, 26672, 528, 269, 1717, 267, 795, 2426, 956, 849, 12404, 10898, 585, 519, 12707, 335, 1563, 267, 2523, 12256, 269, 4256, 10347, 4761, 1949, 267, 7279, 267, 543, 17418, 547, 2149, 2933, 3747, 28858, 1996, 713, 7706, 779, 1950, 4220, 269, 3245, 2068, 21307, 11538, 7786, 547, 9006, 10535, 20151, 547, 10728, 11975, 267, 8594, 30443, 802, 3297, 4898, 563, 19187, 1991, 4058, 543, 15416, 1498, 1450, 2407, 18399, 540, 891, 8134, 685, 1350, 1559, 267, 593, 4816, 779, 2474, 269, 623, 10107, 1126, 7888, 19150, 267, 10591, 3358, 585, 3106, 270, 1260, 3228, 543, 12570, 782, 1761, 10898, 16881, 3617, 23640, 269, 17372, 8023, 267, 15569, 267, 9882, 543, 3210, 23982, 547, 8396, 5563, 267, 17486, 267, 8813, 543, 2916, 6937, 998, 23833, 543, 19535, 3800, 269, 2060, 18762, 12417, 267, 596, 666, 6001, 543, 1711, 11720, 6804, 7554, 609, 707, 4816, 267, 11303, 676, 519, 26570, 779, 7524, 5898, 269, 2806, 1495, 656, 21339, 2221, 5512, 513, 10715, 540, 8823, 3695, 1927, 269, 1924, 7832, 31113, 593, 713, 7045, 267, 11439, 711, 1175, 609, 561, 10212, 720, 855, 609, 30190, 4027, 1152, 3237, 666, 1683, 563, 10890, 543, 6481, 2776, 8619, 1903, 912, 8256, 738, 609, 707, 12963, 1014, 1354, 22576, 547, 1865, 25750, 267, 6527, 267, 543, 1022, 1072, 4220, 1808, 547, 519, 3148, 269, 9040, 625, 666, 581, 811, 7925, 547, 4576, 538, 1007, 5054, 269, 5269, 2386, 16523, 814, 519, 3617, 6375, 3074, 543, 3142, 1022, 6527, 789, 5781, 1491, 269, 4746, 267, 3640, 513, 3102, 1101, 268, 4660, 6539, 2966, 4481, 585, 12256, 269, 901, 1058, 1331, 1022, 13310, 1199, 338, 267, 11216, 267, 4550, 7290, 26952, 267, 1928, 11721, 1197, 17212, 951, 267, 522, 842, 906, 267, 543, 2645, 563, 6826, 3222, 540, 12073, 657, 538, 519, 26570, 602, 949, 4163, 3676, 899, 13663, 610, 28939, 8611, 269, 667, 816, 707, 4816, 538, 17426, 1279, 19492, 1407, 9706, 1218, 543, 946, 606, 10867, 1606, 12522, 5521, 28084, 550, 610, 18151, 2121, 1154, 269, 6744, 585, 1022, 11912, 267, 16150, 525, 267, 610, 8966, 30919, 1310, 9205, 2238, 267, 543, 1832, 873, 2973, 7933, 787, 269, 634, 11195, 849, 4679, 519, 4220, 540, 562, 7026, 16420, 267, 799, 13058, 12547, 1212, 4461, 666, 2061, 269, 13773, 1134, 19872, 543, 3343, 2564, 2126, 952, 1022, 7282, 2589, 1020, 563, 306, 2378, 926, 8298, 2524, 543, 717, 792, 912, 2691, 11578, 532, 585, 513, 11461, 1760, 926, 4663, 267, 2824, 835, 4810, 538, 8383, 908, 12256, 609, 3617, 25778, 3101, 267, 6283, 267, 543, 2238, 269, 589, 4816, 30618, 15298, 568, 5393, 3730, 585, 26570, 554, 10105, 267, 1863, 532, 707, 3946, 543, 5329, 873, 6870, 269, 634, 1318, 10591, 267, 899, 891, 7463, 19482, 1126, 19057, 267, 2636, 596, 547, 7747, 811, 7320, 1247, 5329, 707, 2370, 835, 6899, 2673, 676, 563, 29991, 5078, 12008, 12417, 899, 513, 15409, 524, 1026, 269, 16661, 16513, 12094, 24181, 267, 18151, 2121, 1154, 267, 543, 4764, 6227, 1058, 849, 581, 1031, 1282, 3232, 32751, 687, 269, 13268, 5432, 3688, 899, 5172, 9162, 267, 2835, 267, 543, 29198, 585, 562, 2355, 269, 9941, 10867, 1274, 2149, 832, 666, 17280, 10978, 26570, 4992, 1282, 30148, 610, 2673, 7320, 13341, 269, 28392, 1382, 950, 7446, 513, 4663, 10189, 543, 10591, 547, 2327, 3106, 267, 27194, 267, 543, 1599, 585, 707, 4816, 779, 2115, 563, 17954, 770, 16567, 568, 519, 15864, 6484, 2707, 1247, 10707, 269, 14351, 909, 593, 4542, 11486, 17879, 1426, 952, 4542, 1922, 539, 267, 4152, 1007, 12478, 693, 1753, 1101, 547, 2057, 13027, 6547, 13383, 269, 20780, 811, 982, 2614, 267, 607, 1569, 949, 581, 3908, 538, 6552, 2127, 269, 18120, 29963, 4542, 2693, 3340, 23017, 1216, 267, 865, 24386, 513, 15409, 11480, 10322, 559, 6500, 543, 21149, 656, 3070, 568, 8797, 563, 288, 17426, 267, 24208, 1164, 11381, 666, 5150, 535, 1380, 344, 3548, 619, 1282, 6980, 269, 7780, 839, 2812, 602, 8936, 547, 7515, 610, 23107, 849, 960, 269, 1306, 2141, 267, 6338, 1007, 3536, 7444, 543, 581, 10332, 585, 669, 3183, 610, 13027, 6547, 269, 1403, 707, 1126, 814, 3323, 17571, 267, 3640, 14312, 6986, 525, 4882, 333, 2931, 789, 2907, 20496, 269, 11525, 8438, 12772, 948, 2226, 1434, 8937, 4551, 2157, 267, 1932, 269, 5457, 547, 3251, 19872, 543, 3343, 12094, 8164, 2009, 563, 32552, 1772, 20368, 870, 912, 13425, 1699, 2951, 9666, 1559, 543, 2199, 4365, 23004, 547, 2057, 22247, 26570, 18353, 610, 13818, 12405, 269, 3550, 707, 9709, 2238, 267, 10274, 267, 22581, 267, 543, 3560, 2743, 3106, 4441, 585, 12256, 269, 6733, 585, 8039, 26159, 9002, 4481, 269, 28081, 6595, 17066, 543, 917, 519, 14191, 2564, 6703, 267, 1498, 891, 949, 581, 18642, 610, 2484, 269, 6333, 2951, 6142, 8720, 2011, 5605, 592, 766, 3560, 952, 2556, 563, 289, 17879, 1793, 902, 610, 19057, 1039, 3354, 538, 30940, 14099, 269, 2422, 5521, 28084, 550, 267, 8825, 7802, 267, 19756, 10887, 267, 543, 22970, 547, 7413, 2960, 4598, 269, 853, 2774, 569, 1246, 707, 3391, 779, 3106, 8846, 3823, 16133, 547, 7320, 267, 2371, 267, 1216, 267, 3092, 269, 3629, 5432, 3688, 543, 5812, 13467, 547, 2569, 4816, 2566, 269, 3680, 2047, 7829, 2831, 543, 27459, 1047, 4205, 5702, 267, 16069, 1022, 14699, 610, 11605, 6786, 269, 5901, 6375, 3074, 267, 11955, 267, 543, 2973, 6704, 1216, 3015, 269, 18554, 9002, 15500, 14688, 585, 9636, 689, 3002, 267, 11959, 267, 936, 560, 574, 1637, 267, 3092, 269, 13773, 15061, 3823, 26570, 2609, 547, 4225, 741, 1134, 5630, 563, 7093, 8619, 1903, 3204, 8973, 13812, 912, 8698, 7320, 1152, 896, 519, 15569, 540, 10274, 267, 9363, 9602, 543, 693, 513, 1875, 18446, 3845, 269, 8550, 1935, 2831, 2047, 267, 607, 789, 949, 4323, 952, 1376, 1194, 610, 536, 6139, 1042, 269, 2142, 10332, 585, 4191, 540, 14699, 899, 6659, 9663, 270, 10623, 1430, 338, 267, 4522, 1532, 2130, 267, 2879, 541, 3149, 267, 13029, 6091, 267, 610, 2242, 538, 2534, 267, 15202, 11552, 848, 269, 12315, 873, 10731, 2230, 543, 18956, 7444, 952, 891, 23053, 8451, 563, 26807, 11864, 267, 20641, 267, 20151, 267, 7786, 267, 543, 2371, 1455, 538, 26570, 9249, 666, 581, 13818, 952, 20109, 610, 28041, 269, 17546, 4587, 12256, 711, 547, 3914, 585, 2831, 543, 27459, 1047, 30405, 1404, 5702, 269, 2422, 4988, 533, 2449, 267, 4816, 19057, 267, 1404, 335, 839, 267, 610, 3946, 6823, 5464, 585, 12145, 7320, 5872, 269, 667, 816, 9002, 538, 10887, 4882, 4169, 543, 1279, 19492, 1407, 1141, 2009, 585, 2417, 4027, 269, 4746, 267, 2638, 1404, 2127, 585, 5906, 2371, 11305, 805, 999, 543, 5265, 24846, 1125, 3946, 1310, 3346, 563, 27609, 532, 585, 519, 15689, 912, 763, 26570, 779, 2916, 666, 581, 20437, 610, 4049, 585, 9002, 796, 3147, 25383, 547, 3002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15619, 7271, 540, 5068, 22636, 563, 274, 269, 1548, 568, 973, 31051, 1436, 32319, 2718, 286, 9181, 519, 1585, 5933, 540, 973, 31051, 1436, 32319, 2718, 269, 1548, 616, 2188, 7133, 621, 888, 275, 269, 1548, 616, 1290, 1842, 2572, 286, 12315, 19032, 540, 1290, 1842, 2572, 563, 276, 269, 7756, 5573, 538, 1063, 22750, 2598, 331, 6327, 543, 21115, 342, 2598, 331, 6327, 563, 277, 269, 3525, 525, 540, 22636, 538, 2326, 563, 278, 269, 1215, 568, 2627, 2182, 2287, 1114, 689, 2013, 2182, 2287, 286, 9181, 1022, 835, 540, 519, 2013, 2182, 2287, 2409, 538, 1469, 563, 279, 269, 4855, 519, 29870, 540, 519, 12432, 538, 19976, 4287, 269, 630, 11693, 282, 10025, 264, 630, 11693, 1022, 10230, 994, 280, 269, 1548, 798, 596, 1174, 676, 1290, 22683, 2326, 286, 11512, 741, 3601, 543, 3156, 563, 1015, 269, 1215, 616, 20247, 23148, 1036, 10273, 730, 693, 7671, 32149, 11905, 286, 11512, 609, 16517, 6516, 563, 1556, 269, 4147, 1518, 32423, 14087, 2739, 687, 269, 31692, 880, 1063, 22750, 543, 21115, 342, 2598, 331, 6327, 563, 272, 269, 15585, 908, 11237, 9854, 4152, 3684, 563, 273, 269, 16294, 28869, 269, 11512, 5933, 540, 28869, 563, 274, 269, 14216, 633, 606, 4082, 585, 26186, 603, 3069, 540, 28221, 17795, 269, 4746, 1533, 744, 992, 534, 779, 14842, 563, 275, 269, 16294, 15310, 8982, 269, 8571, 590, 9539, 7455, 543, 2491, 922, 7664, 563, 272, 269, 3503, 2110, 4063, 593, 3690, 11526, 27439, 324, 10767, 924, 563, 273, 269, 8571, 3171, 6363, 324, 274, 290, 6516, 543, 2491, 9023, 540, 630, 11693, 1022, 10025, 264, 18585, 538, 3171, 6363, 324, 274, 290, 6516, 563, 274, 269, 15012, 2491, 4070, 540, 5384, 18323, 26306, 630, 22721, 307, 264, 12222, 540, 476, 271, 269, 279, 4939, 3327, 18585, 563, 275, 269, 3503, 2110, 4063, 593, 281, 476, 272, 264, 26537, 2358, 476, 273, 264, 9537, 540, 10011, 11635, 269, 476, 274, 264, 2353, 32430, 12381, 540, 4401, 269, 476, 275, 264, 11957, 540, 11635, 607, 7177, 7698, 563, 272, 269, 3503, 513, 2110, 4063, 593, 281, 476, 272, 264, 4427, 14706, 2126, 269, 476, 273, 264, 16453, 2358, 269, 476, 274, 264, 3243, 655, 27128, 269, 476, 275, 264, 10434, 523, 1464, 4530, 269, 476, 276, 264, 4825, 7134, 28191, 523, 924, 563, 273, 269, 1548, 568, 2013, 2182, 2287, 286, 9181, 519, 1184, 540, 21193, 337, 4575, 543, 7261, 534, 4575, 538, 1469, 563, 274, 269, 8571, 543, 11512, 1772, 14521, 748, 543, 661, 583, 624, 545, 18001, 6516, 563, 275, 269, 11512, 4469, 877, 10434, 2287, 543, 1473, 25934, 10434, 2287, 563, 276, 269, 11512, 2961, 321, 755, 532, 538, 1469, 563, 277, 269, 1548, 616, 2188, 7133, 2182, 523, 1464, 286, 11512, 808, 558, 4176, 7736, 2372, 26067, 1449, 563, 272, 269, 6356, 540, 18585, 532, 2609, 593, 5123, 7004, 563, 273, 269, 1548, 616, 32255, 6008, 1564, 286, 4147, 1518, 32255, 6008, 1564, 269, 9181, 543, 2446, 741, 3156, 563, 274, 269, 12315, 8760, 540, 32255, 13082, 563, 275, 269, 14674, 519, 9023, 540, 630, 11693, 1022, 1871, 264, 595, 5374, 547, 4055, 2837, 269, 4746, 1265, 856, 519, 20790, 540, 2890, 268, 6247, 15856, 757, 538, 621, 693, 4055, 2837, 563, 276, 269, 6356, 540, 2353, 1195, 532, 2609, 593, 3601, 540, 13082, 563, 277, 269, 3503, 513, 2110, 4063, 593, 6742, 655, 27128, 563, 272, 269, 3503, 513, 2110, 4063, 2201, 281, 476, 272, 264, 30594, 2326, 269, 476, 273, 264, 19182, 12862, 269, 476, 274, 264, 14329, 540, 23399, 540, 29322, 563, 273, 269, 1548, 616, 6289, 24899, 1842, 2572, 286, 12315, 3156, 540, 6289, 24899, 1842, 2572, 563, 274, 269, 1548, 616, 5100, 2326, 286, 9181, 513, 1906, 3156, 585, 5100, 2326, 269, 0, 4537, 12976, 476, 272, 268, 274, 540, 476, 274, 8249, 454, 25205, 11242, 1103, 713, 2534, 267, 1053, 2263, 519, 7613, 540, 4780, 7217, 4720, 4843, 538, 519, 2110, 4670, 634, 18882, 540, 15661, 281, 700, 23275, 538, 606, 12472, 776, 10326, 269, 1358, 1628, 543, 4612, 29981, 4054, 547, 18505, 875, 1978, 14624, 7960, 1851, 519, 1323, 1961, 561, 19123, 5095, 540, 519, 12144, 563, 14112, 8606, 916, 263, 1704, 1295, 476, 3393, 3813, 264, 901, 4670, 7710, 519, 9542, 540, 606, 1961, 28499, 630, 2102, 639, 1323, 12994, 264, 547, 9249, 1455, 2066, 519, 10195, 540, 519, 12144, 269, 634, 606, 3421, 616, 5140, 1806, 540, 13261, 5982, 267, 4780, 7217, 4720, 267, 543, 884, 857, 566, 998, 10285, 10072, 563, 12812, 1299, 6258, 1607, 7317, 9074, 2982, 875, 5027, 9696, 666, 581, 1031, 547, 18505, 12105, 3347, 1851, 7103, 543, 2099, 873, 607, 29981, 4054, 563, 301, 5535, 707, 5079, 676, 8939, 2127, 2630, 269, 0, 4131, 26141, 1711, 513, 18935, 1242, 30011, 538, 844, 3739, 4480, 269, 1411, 666, 946, 4712, 13402, 17446, 540, 1957, 585, 844, 3739, 267, 594, 2759, 873, 856, 8885, 269, 1924, 267, 798, 711, 2628, 3007, 547, 519, 3259, 540, 1250, 17446, 2433, 994, 2690, 960, 267, 649, 786, 991, 281, 17446, 540, 11954, 1957, 267, 21491, 1157, 267, 15441, 15513, 267, 2706, 6921, 826, 630, 528, 14346, 288, 15441, 1070, 16826, 14950, 543, 1434, 7099, 563, 272, 269, 898, 568, 2556, 547, 3442, 519, 2681, 10325, 540, 519, 2104, 8768, 269, 594, 723, 6074, 281, 1769, 3039, 267, 12779, 5835, 267, 5835, 267, 4154, 267, 3109, 269, 594, 786, 946, 519, 17446, 540, 476, 274, 6515, 2647, 267, 476, 278, 6515, 2647, 543, 476, 272, 4699, 2647, 269, 1411, 666, 1491, 476, 276, 6515, 3079, 540, 476, 274, 6515, 269, 5269, 2386, 596, 946, 513, 15441, 6529, 540, 513, 1164, 2298, 563, 273, 269, 3399, 6335, 532, 513, 5066, 856, 540, 513, 1769, 3039, 14816, 563, 274, 269, 16258, 523, 519, 1439, 540, 519, 14816, 593, 519, 5066, 563, 275, 269, 3794, 826, 519, 4098, 540, 513, 1007, 14816, 1439, 3562, 15134, 547, 519, 1101, 14816, 593, 519, 5066, 563, 277, 269, 3794, 826, 519, 4098, 540, 513, 12779, 5835, 14816, 267, 6335, 621, 563, 278, 269, 3794, 826, 519, 4098, 540, 513, 5835, 14816, 547, 519, 5066, 267, 6335, 563, 279, 269, 3776, 533, 603, 568, 4712, 563, 280, 269, 28392, 3337, 519, 4295, 540, 519, 30011, 563, 1015, 269, 744, 3200, 1248, 519, 533, 603, 267, 6445, 621, 609, 15441, 269, 27016, 11489, 3819, 563, 1556, 269, 2755, 519, 533, 603, 1743, 625, 267, 2253, 1818, 513, 535, 16206, 856, 540, 17446, 476, 278, 6515, 2647, 563, 1321, 269, 3794, 826, 519, 535, 16206, 267, 6335, 563, 1724, 269, 594, 723, 8737, 6335, 532, 519, 535, 16206, 267, 1118, 621, 1256, 563, 1691, 269, 12414, 621, 936, 267, 13248, 519, 15441, 593, 519, 535, 16206, 563, 1428, 269, 3794, 826, 513, 3109, 535, 16206, 1500, 856, 540, 14816, 476, 272, 4699, 2647, 563, 1626, 269, 3828, 626, 543, 4368, 630, 1492, 1439, 264, 519, 3109, 535, 16206, 267, 1118, 621, 1256, 563, 1704, 269, 12414, 519, 533, 603, 936, 267, 13248, 519, 1166, 826, 593, 519, 3109, 535, 16206, 563, 1240, 269, 594, 723, 1500, 5835, 543, 4154, 20061, 540, 1863, 3337, 269, 14117, 20061, 616, 476, 1626, 6515, 538, 8006, 267, 4154, 616, 476, 1691, 6515, 563, 8794, 3196, 1186, 267, 1118, 519, 24968, 21217, 563, 866, 269, 12433, 16977, 1297, 540, 2838, 24968, 269, 9255, 873, 547, 1294, 563, 736, 269, 12414, 519, 533, 603, 936, 543, 15441, 519, 5835, 24968, 547, 621, 563, 2641, 269, 16259, 4154, 24968, 269, 15233, 16826, 14950, 593, 519, 4388, 540, 5835, 543, 4154, 24968, 563, 2420, 269, 1411, 666, 1294, 602, 519, 8728, 540, 5835, 543, 4154, 24968, 616, 5594, 9522, 539, 563, 2537, 269, 12414, 936, 606, 3592, 4712, 8768, 2433, 264, 3794, 826, 519, 11344, 24968, 269, 27016, 11489, 3819, 563, 2190, 269, 3776, 18935, 1242, 30011, 568, 4712, 2433, 994, 2791, 666, 1118, 713, 30011, 513, 26806, 11275, 267, 7718, 585, 6486, 270, 7901, 525, 10768, 1168, 601, 2044, 10833, 267, 1711, 513, 16560, 4604, 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 ]
[ 25651, 2714, 267, 700, 11482, 1421, 22084, 572, 267, 700, 1421, 3487, 16466, 267, 681, 1421, 681, 10967, 339, 267, 808, 1421, 1299, 1546, 24836, 3530, 267, 681, 269, 630, 2735, 277, 1040, 16989, 543, 1126, 7130, 540, 22008, 24424, 18312, 538, 5639, 12614, 942, 269, 4132, 1646, 267, 476, 6872, 267, 476, 277, 2764, 268, 277, 3374, 563, 292, 961, 3999, 267, 700, 11482, 1421, 1299, 8621, 1067, 267, 631, 6993, 269, 630, 2735, 279, 1040, 7043, 15994, 2242, 538, 17391, 7130, 538, 3339, 1453, 543, 1453, 609, 1893, 19543, 2042, 269, 4750, 540, 16594, 543, 24651, 3194, 267, 476, 7871, 267, 476, 5379, 278, 268, 5325, 275, 563, 292, 25651, 2714, 267, 700, 11482, 1421, 7043, 514, 2714, 328, 267, 595, 1421, 2725, 9807, 267, 667, 1421, 681, 1794, 267, 594, 1421, 1299, 2098, 27462, 267, 918, 269, 630, 2735, 272, 1040, 25833, 3604, 538, 7114, 543, 5806, 3215, 22008, 24424, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 3583, 267, 476, 5780, 280, 268, 277, 6507, 563, 293, 718, 517, 267, 631, 1421, 7066, 327, 889, 267, 590, 9950, 1421, 1299, 5576, 928, 3187, 267, 645, 6993, 269, 630, 476, 1220, 271, 1040, 5753, 781, 8226, 540, 4633, 538, 5564, 1388, 12027, 3777, 1076, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 10482, 267, 476, 23714, 274, 268, 476, 23714, 280, 563, 293, 518, 8681, 267, 700, 1421, 1299, 1715, 267, 645, 269, 630, 1220, 274, 1040, 28924, 629, 545, 3259, 2360, 538, 3308, 2262, 6284, 543, 20803, 269, 2920, 320, 5369, 860, 3821, 267, 476, 13647, 476, 15757, 268, 8146, 563, 2690, 3122, 267, 918, 269, 594, 1421, 1299, 16422, 1499, 267, 590, 269, 630, 3192, 274, 1040, 22858, 673, 1569, 543, 20803, 942, 269, 4750, 540, 7638, 4472, 4804, 543, 7638, 4472, 10263, 267, 476, 1321, 267, 476, 277, 2767, 268, 277, 3374, 563, 293, 571, 340, 523, 325, 601, 1457, 267, 772, 13034, 1421, 1299, 3212, 4394, 267, 717, 269, 630, 1960, 271, 1040, 22858, 673, 26409, 538, 13138, 19781, 281, 1323, 3635, 538, 11191, 269, 769, 281, 16816, 10458, 267, 717, 11053, 8160, 269, 630, 10955, 13776, 15465, 3631, 540, 4633, 4393, 281, 20329, 565, 3907, 2065, 543, 12985, 5380, 11062, 267, 10790, 281, 20037, 4964, 267, 6032, 269, 476, 2004, 268, 10436, 563, 294, 2532, 749, 267, 631, 14371, 1421, 1299, 9370, 6352, 8862, 12291, 267, 654, 6185, 269, 630, 1960, 278, 1040, 23889, 1106, 543, 2495, 281, 589, 7856, 2203, 540, 4633, 8226, 269, 5678, 543, 15465, 22948, 267, 476, 1321, 267, 476, 277, 1724, 268, 4792, 277, 563, 294, 2532, 749, 267, 631, 14371, 1421, 1299, 9370, 6352, 8862, 12291, 267, 654, 6185, 269, 630, 1960, 280, 1040, 2549, 15927, 8462, 267, 6735, 267, 543, 16471, 538, 1975, 7505, 2262, 6284, 269, 15465, 3163, 267, 476, 2537, 267, 476, 275, 4375, 268, 5379, 273, 563, 20112, 5424, 267, 590, 6185, 1421, 13198, 576, 267, 623, 6993, 1421, 1299, 623, 2581, 328, 267, 667, 11065, 269, 630, 2735, 280, 1040, 10021, 532, 30827, 12543, 540, 9275, 1913, 281, 12186, 540, 6735, 543, 22629, 269, 4750, 540, 15350, 543, 5678, 267, 476, 2764, 267, 476, 26341, 268, 276, 1240, 563, 294, 20423, 4149, 531, 656, 267, 590, 269, 630, 2735, 277, 1040, 23779, 540, 2067, 543, 942, 270, 842, 3748, 12012, 22008, 338, 676, 1762, 543, 11361, 5396, 609, 3339, 6217, 269, 4750, 540, 519, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 3199, 476, 14689, 280, 268, 8182, 278, 563, 295, 718, 267, 808, 15030, 1421, 1299, 24162, 267, 808, 13034, 269, 630, 1960, 272, 1040, 3502, 3481, 5991, 18857, 3800, 540, 4908, 2824, 2032, 538, 4079, 543, 1453, 1210, 6378, 2173, 2532, 518, 7400, 543, 6378, 1606, 793, 531, 7400, 6881, 269, 4750, 540, 16594, 543, 24651, 3194, 267, 476, 4097, 267, 476, 4792, 272, 268, 32133, 563, 295, 753, 517, 267, 670, 8160, 269, 630, 1960, 276, 1040, 3794, 582, 2145, 4162, 540, 4775, 10529, 281, 3600, 15064, 267, 12214, 543, 829, 24632, 31426, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 9032, 267, 476, 31079, 273, 563, 295, 1794, 534, 267, 966, 1421, 1299, 4460, 5069, 267, 667, 269, 630, 1220, 275, 1040, 3600, 15064, 14428, 517, 2045, 31426, 540, 2911, 518, 4111, 2225, 585, 4079, 543, 1453, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 14138, 267, 476, 20542, 279, 268, 25313, 279, 563, 295, 1794, 534, 267, 966, 1421, 1299, 3244, 12121, 267, 589, 269, 630, 1960, 279, 1040, 634, 1198, 540, 29692, 10276, 327, 766, 618, 593, 519, 4111, 2225, 540, 20060, 1619, 2262, 543, 4845, 2326, 4843, 538, 6846, 269, 16594, 9442, 267, 476, 2190, 267, 476, 21076, 268, 26297, 563, 3891, 742, 1716, 534, 267, 918, 269, 630, 1220, 278, 1040, 966, 578, 601, 24980, 607, 513, 24572, 540, 799, 3023, 5012, 513, 20262, 1689, 269, 15223, 16808, 30638, 523, 267, 476, 277, 268, 1015, 267, 476, 16825, 276, 268, 16825, 279, 563, 295, 550, 517, 267, 595, 14371, 269, 630, 1960, 276, 1040, 9061, 25082, 8390, 538, 519, 24008, 540, 4775, 543, 5256, 10529, 269, 18619, 476, 1724, 628, 15096, 4942, 306, 267, 14351, 27048, 267, 6032, 269, 476, 22213, 268, 275, 2537, 563, 295, 1993, 10458, 267, 631, 1421, 853, 26413, 5287, 267, 623, 1421, 1230, 2784, 267, 631, 1421, 1299, 10496, 10849, 267, 589, 8160, 269, 630, 1220, 278, 1040, 4427, 2716, 673, 4908, 3800, 585, 9647, 4919, 543, 13093, 1670, 4559, 538, 4436, 269, 10263, 3194, 10613, 267, 476, 4375, 476, 30663, 268, 277, 3066, 563, 297, 864, 23495, 345, 267, 661, 1421, 16737, 267, 681, 6993, 1421, 1299, 6428, 332, 976, 267, 808, 269, 630, 1220, 277, 1040, 18370, 21288, 23146, 2360, 593, 24008, 538, 5832, 10593, 269, 5678, 7352, 566, 543, 7827, 267, 476, 1240, 267, 476, 26326, 268, 22332, 563, 297, 1563, 267, 667, 1421, 1299, 1530, 16582, 6199, 267, 631, 2529, 269, 630, 1960, 271, 1040, 715, 5446, 1617, 19192, 961, 629, 545, 1913, 269, 4750, 540, 21885, 10017, 281, 5274, 32185, 543, 13437, 267, 476, 1626, 267, 476, 10844, 268, 10755, 269, 561, 338, 23014, 267, 27359, 281, 8210, 331, 29231, 269, 6032, 269, 476, 1960, 268, 26631, 563, 297, 19895, 5414, 330, 267, 623, 1421, 623, 2581, 328, 267, 667, 11065, 1421, 1299, 631, 1638, 523, 1460, 267, 808, 269, 630, 1960, 273, 1040, 12186, 540, 2911, 518, 13260, 593, 4633, 8226, 676, 476, 273, 18881, 6040, 12256, 269, 595, 10744, 267, 476, 6246, 267, 476, 26562, 268, 29720, 563, 298, 612, 2401, 267, 645, 1421, 1299, 7066, 27332, 267, 681, 269, 630, 476, 1220, 273, 1040, 17716, 1063, 4992, 543, 5022, 538, 2296, 1395, 657, 22690, 1963, 269, 4750, 540, 15350, 543, 5678, 267, 476, 2190, 267, 476, 30020, 268, 277, 1704, 563, 298, 25184, 267, 918, 15660, 1421, 15917, 5336, 322, 29493, 3832, 517, 267, 631, 1421, 1530, 327, 6549, 267, 590, 11053, 1421, 1299, 631, 12011, 600, 9369, 267, 681, 11053, 269, 630, 1220, 271, 1040, 16594, 8226, 538, 1453, 609, 31882, 3598, 18032, 281, 12186, 540, 30827, 7411, 267, 2911, 518, 13260, 267, 543, 2262, 3259, 269, 7788, 1023, 540, 17305, 1108, 267, 10910, 11659, 543, 700, 28640, 1108, 23463, 1139, 269, 476, 6977, 267, 476, 8064, 268, 10037, 563, 298, 331, 1952, 267, 590, 11053, 269, 630, 3192, 272, 1040, 1955, 14032, 4633, 18505, 1042, 689, 3210, 4234, 4293, 538, 1482, 1673, 27075, 3664, 269, 4750, 540, 21885, 10017, 267, 476, 11011, 267, 476, 26783, 268, 29045, 454, 298, 331, 1952, 267, 590, 11053, 1421, 18722, 267, 654, 14371, 1421, 1299, 7137, 6929, 267, 681, 15030, 269, 630, 3192, 274, 1040, 1955, 14032, 4633, 538, 2542, 267, 556, 4621, 30872, 4750, 540, 21885, 10017, 267, 476, 1911, 267, 476, 3607, 279, 268, 4391, 275, 563, 298, 331, 3430, 267, 667, 1421, 1299, 28822, 3430, 267, 700, 269, 630, 1960, 271, 1040, 5811, 267, 10282, 267, 543, 8226, 540, 5639, 2298, 7648, 1851, 4775, 543, 5256, 2911, 619, 269, 4750, 540, 519, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 9262, 267, 476, 279, 736, 268, 5952, 278, 563, 298, 571, 2224, 267, 808, 5861, 1421, 1299, 4858, 5866, 267, 700, 6185, 269, 630, 1960, 276, 1040, 634, 2360, 540, 6340, 2557, 593, 519, 4111, 2225, 540, 4633, 585, 1585, 6340, 12331, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 7176, 263, 273, 1070, 476, 29218, 273, 563, 298, 571, 2224, 267, 808, 5861, 1421, 1299, 4858, 5866, 267, 700, 6185, 269, 630, 1220, 273, 1040, 15766, 908, 4244, 3029, 540, 2312, 4633, 281, 634, 2360, 540, 6340, 2557, 543, 6340, 7154, 593, 4111, 2225, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 12208, 267, 476, 21327, 276, 268, 24241, 273, 563, 298, 571, 2224, 267, 808, 5861, 1421, 1299, 4858, 5866, 267, 700, 6185, 269, 630, 1220, 275, 1040, 3600, 15064, 3601, 540, 6923, 3812, 2312, 4633, 693, 3339, 6340, 3928, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 1428, 267, 476, 3607, 273, 268, 274, 4281, 563, 298, 7795, 331, 267, 623, 269, 630, 3192, 280, 1040, 16594, 8226, 538, 2038, 26638, 281, 3131, 24632, 1526, 3599, 585, 4715, 337, 958, 4744, 25630, 20262, 6688, 269, 4750, 540, 519, 3600, 24065, 673, 5980, 540, 3013, 267, 5780, 267, 476, 14917, 279, 268, 15757, 280, 563, 298, 7795, 331, 267, 623, 14389, 269, 630, 2735, 274, 1040, 32185, 540, 17391, 30424, 5049, 585, 4633, 538, 2038, 26638, 269, 23862, 10263, 543, 4886, 267, 476, 277, 267, 476, 277, 267, 476, 28091, 268, 476, 26326, 563, 24248, 990, 267, 654, 269, 630, 3192, 273, 1040, 5081, 565, 3907, 2065, 18963, 269, 15740, 281, 2160, 540, 12425, 4964, 563, 299, 2465, 267, 595, 13034, 269, 630, 1220, 272, 1040, 12559, 775, 540, 27612, 2360, 281, 3933, 657, 22690, 629, 545, 1913, 616, 4443, 982, 1617, 19192, 961, 629, 545, 1913, 269, 3131, 24632, 543, 16359, 10341, 267, 476, 11152, 267, 476, 10463, 268, 6507, 563, 15812, 5069, 267, 667, 1421, 1299, 18171, 534, 267, 966, 269, 630, 1220, 275, 1040, 634, 6356, 540, 13185, 518, 910, 543, 5903, 10273, 7304, 601, 730, 11790, 593, 10164, 2225, 585, 513, 7464, 8862, 867, 267, 7046, 4149, 564, 32185, 4530, 269, 4750, 540, 16594, 267, 5678, 267, 543, 24651, 3194, 267, 476, 5325, 267, 476, 278, 1839, 268, 278, 4391, 563, 300, 1513, 6352, 8862, 12291, 267, 654, 1421, 1299, 25303, 267, 623, 269, 630, 1960, 275, 1040, 20946, 540, 829, 24632, 6041, 543, 1184, 538, 30827, 1569, 281, 9293, 267, 13093, 655, 525, 267, 543, 2934, 269, 16723, 5623, 267, 476, 6200, 267, 476, 4792, 274, 268, 277, 4037, 454, 300, 2632, 25081, 267, 589, 6993, 1421, 1299, 22750, 267, 681, 6993, 269, 630, 2735, 279, 1040, 16214, 540, 476, 273, 4633, 19349, 2553, 547, 2087, 4111, 2225, 585, 6217, 27780, 8529, 4079, 269, 4750, 540, 16594, 543, 24651, 3194, 269, 476, 4029, 267, 476, 4343, 277, 268, 4375, 274, 563, 29409, 3994, 328, 10314, 267, 645, 6993, 1421, 7605, 5459, 267, 681, 5861, 1421, 7454, 267, 595, 11053, 1421, 1299, 1849, 604, 2023, 267, 681, 14389, 269, 630, 2735, 275, 1040, 29665, 1894, 538, 8226, 540, 4633, 676, 2947, 4458, 6040, 1453, 269, 4750, 540, 21885, 4132, 10017, 267, 476, 4391, 267, 476, 23211, 268, 7742, 563, 301, 8636, 709, 518, 267, 590, 1421, 1299, 4425, 1054, 5797, 323, 267, 589, 269, 630, 1960, 271, 1040, 12745, 2360, 538, 13093, 30937, 543, 2262, 6284, 676, 1762, 1453, 543, 4587, 4079, 269, 4750, 540, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 9262, 267, 476, 17734, 276, 268, 27244, 276, 563, 301, 8636, 709, 518, 267, 590, 1421, 1299, 2289, 323, 1068, 11860, 523, 15326, 267, 631, 269, 630, 476, 2735, 278, 1040, 634, 1909, 540, 1071, 691, 10306, 2218, 2360, 538, 519, 8226, 540, 535, 878, 2510, 676, 1453, 543, 4079, 269, 4750, 540, 16594, 543, 24651, 3194, 267, 476, 1789, 267, 476, 29204, 268, 31696, 563, 301, 344, 8615, 731, 267, 700, 5861, 1421, 24622, 1067, 267, 631, 2529, 1421, 1299, 623, 2581, 328, 267, 667, 11065, 269, 630, 1960, 275, 1040, 16594, 8226, 607, 513, 2911, 518, 8410, 1154, 550, 1184, 269, 16723, 3163, 267, 476, 276, 267, 476, 5655, 268, 5379, 563, 30821, 337, 7236, 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 ]
[ 26180, 4233, 1475, 13528, 532, 12616, 2199, 1858, 29135, 338, 543, 9117, 607, 513, 454, 25218, 31092, 543, 17513, 540, 12616, 5925, 454, 24820, 8115, 1063, 18760, 543, 15261, 19712, 3926, 454, 7474, 568, 3544, 519, 2039, 540, 519, 15261, 19712, 18760, 563, 347, 15187, 1740, 7392, 1475, 2005, 5932, 513, 12616, 3060, 13954, 2005, 18187, 919, 606, 4540, 3060, 8198, 347, 15187, 1740, 10866, 1475, 15187, 1740, 2298, 568, 711, 4299, 13954, 15187, 1740, 2298, 14016, 919, 676, 476, 2004, 260, 8198, 347, 11045, 9285, 9351, 1475, 29209, 1870, 543, 1804, 13646, 13954, 12709, 610, 1507, 1870, 8198, 763, 2626, 547, 799, 15261, 19712, 3070, 568, 1732, 666, 581, 16148, 269, 6787, 12616, 1569, 2798, 610, 2039, 8831, 619, 616, 1732, 782, 5673, 593, 1018, 596, 1616, 547, 9585, 269, 21414, 519, 1079, 15261, 19712, 3435, 676, 9236, 741, 5383, 543, 11393, 267, 596, 949, 1205, 930, 4030, 563, 2690, 13055, 1870, 267, 621, 781, 1455, 547, 1921, 11380, 339, 3591, 267, 24195, 267, 5985, 11436, 267, 543, 14342, 547, 519, 12616, 15261, 19712, 3060, 267, 543, 1569, 2798, 2709, 1390, 8112, 547, 8831, 519, 1297, 540, 3457, 602, 1034, 4213, 991, 269, 31453, 585, 602, 267, 12616, 6673, 3435, 849, 1683, 519, 1739, 5383, 543, 11393, 912, 288, 2039, 970, 2658, 11498, 519, 3914, 540, 606, 4540, 15261, 19712, 3060, 269, 22702, 609, 519, 12616, 6673, 3070, 267, 2039, 970, 2658, 15261, 19712, 3070, 3091, 519, 1739, 5383, 543, 11393, 912, 14454, 267, 519, 2039, 970, 2658, 568, 4998, 585, 519, 3156, 1141, 1906, 15261, 19712, 3457, 616, 4448, 547, 621, 269, 1306, 585, 1164, 29213, 3060, 3156, 8506, 1164, 7779, 15261, 19712, 6786, 267, 12616, 6673, 568, 519, 11566, 3903, 269, 2334, 781, 547, 2161, 267, 952, 596, 991, 513, 1942, 15807, 1505, 547, 8831, 12616, 3060, 2039, 538, 707, 1753, 267, 2039, 8831, 619, 786, 798, 1175, 5386, 282, 855, 952, 596, 2661, 538, 513, 1804, 13355, 1753, 543, 596, 616, 771, 20880, 609, 519, 1699, 3060, 3432, 707, 18760, 666, 3761, 267, 610, 596, 616, 11766, 532, 15261, 19712, 3060, 585, 3786, 4926, 610, 16904, 267, 621, 568, 4502, 547, 22010, 547, 513, 5767, 3044, 12616, 6673, 269, 0, 289, 11481, 3170, 568, 8338, 585, 596, 982, 3170, 11992, 563, 2750, 947, 13250, 540, 17987, 3170, 568, 811, 5906, 982, 4430, 3170, 1472, 707, 25637, 543, 25427, 338, 269, 4475, 267, 3170, 568, 2404, 609, 3978, 1072, 2042, 269, 6145, 2295, 2068, 267, 8482, 267, 543, 1826, 476, 273, 3987, 568, 513, 1072, 1981, 563, 7312, 6090, 666, 3565, 547, 707, 1373, 14968, 269, 1656, 948, 3313, 1141, 596, 4163, 713, 1016, 12827, 10389, 3170, 269, 1809, 267, 4057, 6197, 5079, 616, 2693, 547, 22009, 519, 3390, 563, 763, 7887, 2014, 540, 621, 454, 28848, 1164, 19339, 3536, 568, 711, 5363, 269, 1809, 267, 4430, 8477, 540, 1022, 2186, 666, 2333, 707, 22765, 1467, 543, 3565, 547, 621, 563, 2467, 568, 1869, 1100, 2582, 2014, 540, 17987, 3170, 269, 21834, 267, 2732, 267, 2085, 267, 543, 6197, 666, 782, 1404, 513, 1909, 563, 2419, 4474, 8192, 6208, 666, 948, 596, 4339, 519, 6370, 540, 519, 4439, 613, 543, 4339, 3170, 269, 3367, 10297, 267, 2569, 15459, 9600, 269, 1656, 267, 2333, 519, 1297, 540, 5613, 543, 19787, 596, 3548, 269, 6513, 543, 2569, 707, 13980, 563, 9773, 1559, 689, 4568, 616, 8338, 585, 17987, 3170, 982, 824, 8477, 563, 2750, 947, 8477, 269, 6787, 689, 4568, 267, 6653, 2989, 16098, 269, 2107, 16136, 1242, 13980, 540, 1426, 666, 2333, 3170, 269, 3776, 4703, 991, 8477, 267, 2943, 6121, 585, 6121, 269, 15850, 814, 3592, 607, 1082, 8477, 607, 3170, 563, 2704, 4022, 1281, 3100, 547, 723, 513, 1880, 7681, 609, 606, 2799, 22765, 1467, 269, 769, 2489, 267, 602, 779, 1317, 950, 596, 4235, 4568, 269, 2659, 6797, 568, 1932, 11112, 8781, 1055, 4568, 547, 6633, 1055, 3170, 269, 898, 849, 3762, 596, 609, 513, 14420, 17987, 563, 763, 5767, 1072, 2090, 1397, 269, 15850, 666, 2014, 596, 547, 1745, 17237, 676, 7133, 10399, 602, 10038, 513, 2631, 540, 2893, 328, 1214, 563, 12867, 693, 654, 820, 11206, 2160, 1336, 602, 269, 2558, 534, 779, 9600, 267, 2813, 676, 13148, 7250, 730, 3282, 269, 898, 4679, 519, 2179, 540, 3170, 1472, 519, 17987, 269, 1656, 23799, 1026, 2373, 3170, 5160, 547, 519, 17737, 689, 824, 2694, 540, 519, 1560, 563, 13295, 267, 3690, 9600, 666, 1265, 621, 538, 971, 3536, 269, 6145, 5768, 25978, 267, 2250, 1845, 267, 12897, 267, 543, 11523, 619, 267, 543, 22304, 543, 13418, 3536, 563, 293, 18017, 17987, 3170, 454, 1103, 1249, 267, 3039, 7401, 267, 538, 4999, 609, 3635, 269, 898, 1223, 948, 596, 6336, 2597, 267, 2687, 547, 519, 4750, 540, 12594, 563, 12867, 1589, 269, 15240, 1734, 538, 3039, 7401, 1634, 607, 524, 622, 577, 1231, 12954, 519, 1560, 547, 6633, 8477, 269, 1656, 3986, 519, 2530, 540, 3170, 269, 9791, 11241, 849, 1397, 9153, 267, 23344, 538, 23224, 563, 1103, 835, 1353, 267, 14148, 26870, 547, 1831, 17324, 269, 1261, 729, 10480, 2901, 513, 1164, 19339, 2732, 610, 513, 1970, 19339, 2732, 3638, 538, 30207, 269, 681, 1846, 10480, 513, 4544, 9440, 11656, 2732, 1185, 1447, 14159, 3170, 563, 24137, 1426, 8309, 547, 621, 454, 6624, 3728, 32103, 3681, 616, 3335, 1164, 19339, 269, 2836, 12929, 1673, 1619, 3536, 789, 3548, 538, 1804, 13980, 269, 2353, 540, 799, 3565, 547, 936, 15926, 18870, 540, 8477, 267, 2597, 2744, 269, 1656, 606, 2333, 540, 3170, 538, 519, 17987, 950, 13881, 4749, 563, 6624, 3728, 32103, 14060, 798, 711, 1683, 9422, 1344, 269, 855, 2090, 723, 3254, 602, 950, 713, 568, 2139, 269, 4658, 4043, 547, 4584, 2539, 23343, 12929, 6980, 563, 288, 1434, 1259, 547, 16013, 519, 3170, 563, 6097, 547, 519, 1977, 9839, 5948, 269, 968, 25413, 10425, 543, 824, 4006, 1606, 11548, 2989, 16098, 269, 1358, 616, 519, 3143, 269, 476, 272, 2707, 540, 3773, 14836, 538, 519, 1977, 2732, 3034, 3849, 4765, 14836, 1611, 3773, 8477, 269, 23985, 596, 1616, 547, 2057, 547, 948, 609, 2597, 2530, 269, 1656, 2759, 1524, 593, 519, 17987, 543, 12990, 2732, 2571, 10425, 585, 2834, 2571, 10425, 269, 2334, 568, 513, 1434, 1259, 547, 16013, 519, 3170, 563, 21953, 267, 1164, 1922, 28229, 8970, 21360, 814, 7930, 8719, 15568, 4006, 269, 6145, 519, 1292, 6653, 10273, 538, 2571, 10425, 269, 1656, 621, 814, 1044, 30199, 607, 513, 1761, 23784, 547, 519, 8377, 15435, 563, 9989, 15175, 547, 2732, 7091, 553, 948, 286, 4014, 930, 1382, 814, 6700, 269, 4658, 945, 4235, 31567, 6653, 2989, 7091, 553, 269, 6145, 851, 540, 513, 17811, 3146, 560, 24071, 2732, 1281, 6336, 2597, 269, 4033, 2090, 723, 6700, 602, 2732, 2571, 10425, 1223, 1256, 1291, 547, 2597, 2744, 269, 1280, 1631, 267, 972, 568, 1100, 598, 5477, 2963, 2901, 1259, 563, 307, 3234, 707, 22765, 1467, 454, 2414, 16013, 707, 22765, 1467, 269, 1411, 1058, 3548, 513, 2732, 1164, 538, 6775, 543, 1039, 2898, 9274, 547, 707, 16087, 2732, 269, 1280, 1383, 267, 3442, 6960, 610, 3552, 7573, 3079, 540, 3043, 7573, 269, 4676, 1441, 543, 824, 3810, 9268, 3536, 666, 3565, 547, 2597, 2744, 543, 15936, 609, 2597, 2530, 563, 288, 1353, 538, 519, 1977, 4750, 540, 11916, 12594, 269, 898, 4951, 602, 513, 17811, 22306, 2732, 3638, 538, 2898, 9274, 269, 2334, 666, 16013, 3063, 3170, 689, 519, 22765, 1467, 540, 17324, 5396, 563, 307, 3234, 707, 22765, 1467, 676, 13868, 15568, 9274, 609, 2898, 9274, 563, 290, 748, 32654, 267, 838, 698, 515, 26152, 267, 543, 8970, 1166, 1389, 616, 1500, 689, 15568, 9274, 269, 630, 2288, 2898, 3766, 1778, 3681, 949, 581, 2139, 1040, 1809, 1402, 25468, 568, 513, 2898, 10286, 1426, 602, 666, 5818, 6775, 563, 763, 1655, 1259, 547, 5965, 1402, 25468, 568, 609, 606, 2011, 1790, 32111, 269, 6904, 3340, 1100, 3282, 585, 5986, 269, 3367, 10297, 547, 1294, 1018, 11041, 723, 1044, 3773, 547, 17196, 1402, 25468, 563, 5472, 3116, 1373, 3160, 267, 1498, 269, 19940, 9274, 616, 1732, 982, 15568, 9274, 269, 5221, 789, 4043, 547, 581, 1164, 538, 6775, 543, 1491, 3476, 547, 7558, 269, 901, 25389, 707, 14000, 1732, 543, 2337, 2539, 1973, 7280, 2157, 543, 2569, 3170, 563, 5415, 3170, 538, 2367, 11350, 625, 982, 2021, 563, 14454, 267, 2367, 4043, 547, 4558, 3170, 538, 519, 14159, 6091, 1858, 811, 982, 2021, 798, 269, 2334, 568, 2944, 7064, 547, 3023, 9449, 3604, 563, 21357, 5796, 3081, 267, 1354, 2085, 476, 2412, 269, 6468, 4043, 547, 4558, 1034, 540, 741, 3170, 538, 519, 25637, 267, 25427, 338, 267, 543, 12765, 4169, 269, 2991, 476, 2412, 267, 607, 21110, 2157, 6749, 269, 10610, 3170, 23799, 1026, 2373, 547, 519, 17737, 563, 289, 11481, 3170, 568, 9875, 547, 6336, 982, 3170, 11992, 538, 707, 1560, 563, 2691, 596, 6336, 2597, 269, 1411, 616, 1454, 811, 2693, 547, 6336, 621, 538, 707, 4571, 7611, 269, 700, 3151, 2597, 593, 513, 1134, 28394, 2331, 1544, 269, 898, 786, 15835, 1560, 3170, 267, 1519, 3170, 538, 519, 17987, 269, 634, 1655, 1259, 547, 6175, 707, 22765, 2450, 269, 898, 568, 998, 2635, 4189, 543, 2834, 3635, 563, 8967, 582, 3635, 267, 971, 607, 1694, 13522, 610, 1835, 31708, 563, 2710, 532, 1694, 13522, 1835, 31708, 476, 3374, 6279, 269, 2107, 824, 14159, 5751, 786, 7794, 707, 4295, 6091, 543, 948, 596, 6336, 3170, 269, 1809, 789, 798, 711, 4481, 960, 593, 519, 17987, 563, 1103, 824, 1913, 267, 5544, 3635, 786, 711, 6175, 3170, 269, 634, 1152, 1259, 547, 6336, 17987, 3170, 630, 528, 1022, 2186, 540, 3170, 1040, 898, 568, 998, 2732, 532, 543, 3635, 269, 17224, 11131, 5751, 267, 4881, 267, 10977, 267, 15203, 267, 543, 17281, 269, 789, 616, 930, 540, 519, 1655, 547, 948, 2569, 1560, 3170, 563, 289, 11481, 3170, 814, 1044, 5532, 547, 519, 1739, 1072, 2042, 454, 293, 520, 5526, 547, 581, 2523, 3983, 585, 519, 2295, 269, 5525, 723, 5532, 3170, 538, 519, 17987, 269, 1677, 2295, 5821, 267, 19473, 29912, 267, 543, 824, 9025, 2042, 563, 2005, 849, 814, 1044, 2404, 609, 21404, 267, 12110, 267, 12216, 779, 2068, 267, 3987, 267, 897, 28030, 2860, 267, 10894, 6794, 267, 1164, 1973, 2604, 269, 1656, 824, 1072, 2042, 563, 763, 1655, 1544, 585, 4227, 17987, 31294, 454, 7197, 3621, 2963, 5267, 602, 513, 17811, 22306, 2732, 568, 3638, 269, 769, 5613, 267, 5388, 267, 2898, 9274, 267, 1970, 19339, 10683, 267, 10365, 267, 10808, 267, 5452, 267, 10709, 5779, 267, 3165, 267, 5798, 269, 1656, 16738, 568, 519, 5748, 585, 513, 2732, 563, 6546, 2488, 782, 519, 5567, 596, 991, 269, 2755, 4543, 547, 627, 8077, 707, 22765, 1467, 269, 13379, 2530, 4966, 4363, 9256, 713, 2732, 269, 2060, 476, 1789, 547, 476, 2568, 3764, 540, 3635, 1034, 2395, 540, 519, 3018, 563, 306, 539, 23358, 2623, 568, 835, 540, 519, 7887, 1981, 2188, 585, 2942, 1072, 2621, 269, 898, 3322, 12675, 9361, 2429, 519, 1554, 269, 630, 2690, 1383, 267, 8384, 7641, 267, 9361, 693, 513, 960, 11380, 267, 1279, 862, 2373, 267, 4730, 3381, 3756, 267, 543, 865, 593, 563, 10214, 952, 513, 1268, 568, 9308, 3742, 269, 2334, 1797, 789, 4497, 538, 2168, 2534, 269, 1160, 14075, 539, 9361, 949, 2333, 519, 1981, 540, 2942, 1072, 2621, 543, 2597, 2744, 563, 12234, 267, 1382, 6920, 602, 1034, 1453, 543, 4079, 269, 1358, 798, 711, 2743, 519, 5227, 2168, 2534, 4808, 563, 1103, 1249, 267, 909, 547, 476, 3199, 260, 540, 4079, 798, 711, 2743, 519, 5227, 20659, 269, 1656, 4187, 2866, 7840, 616, 13890, 538, 519, 8447, 11314, 13832, 585, 4892, 563, 27078, 894, 1198, 593, 519, 1560, 454, 2414, 2417, 5031, 519, 2942, 1198, 3908, 2534, 814, 593, 519, 1560, 269, 5637, 2168, 538, 13808, 543, 25161, 2623, 269, 1358, 723, 1044, 2404, 609, 513, 1463, 2333, 269, 769, 1312, 1471, 30844, 543, 1016, 12827, 10389, 14159, 3170, 563, 293, 6136, 267, 2502, 538, 2834, 2168, 2534, 269, 1656, 12145, 9361, 1282, 519, 1554, 666, 2539, 707, 1981, 540, 2799, 14159, 3170, 269, 2755, 5885, 2597, 2359, 563, 1103, 835, 1353, 267, 3173, 4080, 602, 269, 4658, 945, 5340, 4187, 610, 20659, 3635, 585, 476, 272, 1032, 1310, 9561, 2597, 269, 1358, 941, 2111, 547, 2061, 1036, 8724, 1471, 30844, 3170, 269, 2755, 1346, 945, 1705, 711, 3635, 1185, 513, 476, 1839, 1700, 4343, 260, 2333, 538, 3170, 563, 5194, 1353, 4951 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 476, 1321, 267, 476, 276, 267, 476, 277, 267, 476, 274, 267, 476, 278, 267, 476, 280, 267, 476, 273, 267, 476, 1556, 267, 476, 1240, 267, 476, 279, 2639, 453, 338, 4289, 815, 13074, 24786, 3287, 4289, 267, 737, 266, 272, 994, 13537, 2891, 16524, 652, 2619, 737, 268, 19477, 281, 14307, 1793, 626, 994, 13537, 2891, 2411, 955, 268, 5602, 0, 3698, 1265, 318, 11484, 27509, 19906, 267, 1130, 2187, 453, 12248, 815, 476, 271, 454, 453, 1260, 14658, 640, 815, 476, 271, 454, 453, 30915, 815, 703, 12759, 19906, 8358, 273, 994, 453, 6112, 7329, 343, 2999, 7003, 19906, 2187, 453, 453, 1260, 14658, 640, 6834, 272, 454, 453, 14851, 1130, 2999, 2855, 314, 30915, 14158, 4848, 453, 30915, 815, 703, 263, 30915, 270, 273, 994, 453, 453, 19197, 1130, 3436, 2855, 314, 30915, 14158, 4848, 453, 30915, 6834, 703, 9230, 6352, 19906, 264, 910, 7329, 343, 8358, 273, 994, 453, 28432, 912, 4848, 453, 6112, 7329, 343, 3436, 476, 271, 543, 1130, 2652, 2855, 314, 30915, 14158, 15235, 453, 30915, 20699, 476, 272, 454, 4848, 453, 30915, 6834, 476, 272, 454, 4848, 453, 6112, 7329, 343, 2999, 7003, 19906, 264, 543, 1130, 2652, 2855, 314, 30915, 14158, 15235, 453, 12248, 6834, 476, 272, 454, 15235, 453, 30915, 6834, 476, 272, 454, 4848, 453, 19874, 454, 13537, 263, 1260, 14658, 640, 994, 16596, 1293, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 13537, 2891, 10900, 5602, 453, 1551, 815, 1496, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 278, 267, 278, 267, 280, 267, 280, 267, 280, 267, 280, 267, 1015, 2639, 453, 1998, 815, 476, 278, 454, 13537, 19906, 267, 834, 6352, 281, 14307, 7003, 19906, 4917, 453, 343, 815, 1265, 318, 11484, 27509, 19906, 267, 1130, 994, 13537, 2891, 1998, 281, 14307, 1130, 267, 834, 11484, 27509, 281, 14307, 1535, 994, 13537, 2891, 10900, 5602, 453, 1998, 815, 476, 280, 454, 13537, 19906, 267, 834, 6352, 281, 14307, 7003, 19906, 4917, 453, 343, 815, 1265, 318, 11484, 27509, 19906, 267, 1130, 994, 13537, 2891, 1998, 281, 14307, 1130, 267, 834, 11484, 27509, 281, 14307, 1535, 994, 13537, 2891, 10900, 5602, 453, 1998, 815, 476, 1015, 3097, 13537, 19906, 267, 834, 6352, 281, 14307, 7003, 19906, 4917, 453, 343, 815, 1265, 318, 11484, 27509, 19906, 267, 1130, 994, 13537, 2891, 1998, 281, 14307, 1130, 267, 834, 11484, 27509, 281, 14307, 1535, 994, 13537, 2891, 10900, 5602, 0, 18257, 1477, 32046, 593, 5412, 476, 274, 267, 476, 1001, 277, 1477, 287, 10461, 281, 1535, 532, 344, 340, 267, 693, 19889, 548, 2578, 337, 1446, 632, 700, 4068, 1477, 258, 901, 10872, 568, 281, 12430, 22953, 1477, 258, 4704, 281, 595, 2293, 5028, 10724, 4804, 1930, 1576, 630, 4517, 4319, 31436, 3418, 258, 4704, 281, 4179, 2517, 326, 603, 889, 2593, 270, 549, 903, 327, 5622, 8276, 3149, 333, 1477, 18257, 1477, 21506, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 21795, 607, 19073, 476, 1948, 335, 663, 553, 281, 5124, 4578, 5811, 7732, 1477, 258, 5228, 544, 680, 4671, 944, 330, 1080, 6230, 7120, 274, 323, 1104, 17887, 274, 323, 1477, 5228, 700, 305, 7272, 871, 720, 11482, 305, 325, 684, 14369, 1104, 12337, 21798, 267, 13506, 5327, 1417, 5897, 258, 3487, 476, 272, 281, 3171, 1155, 16453, 1436, 5897, 2745, 2891, 299, 1933, 532, 4578, 3267, 315, 333, 14744, 12639, 11907, 815, 19073, 18667, 32269, 3488, 1410, 272, 11907, 272, 27406, 262, 10142, 311, 815, 5286, 11907, 269, 1460, 18020, 271, 15947, 344, 815, 5286, 11907, 269, 1460, 18020, 272, 316, 5897, 258, 3487, 476, 273, 281, 27240, 1304, 16350, 1477, 258, 5278, 13506, 16350, 5468, 1477, 10401, 815, 476, 271, 269, 4905, 1477, 11133, 318, 527, 619, 815, 476, 2004, 5897, 320, 318, 2158, 815, 5286, 269, 2158, 9230, 6352, 11583, 1070, 272, 17903, 311, 815, 2473, 269, 11161, 269, 31412, 263, 9032, 267, 272, 3418, 2745, 11583, 17482, 3418, 28744, 11583, 10142, 311, 318, 2908, 815, 5286, 19544, 23637, 9230, 320, 318, 2158, 267, 311, 17903, 2745, 3488, 2745, 1007, 2473, 281, 1412, 3418, 28744, 11583, 318, 2908, 3418, 2745, 11583, 318, 2908, 17482, 3418, 9064, 815, 5286, 25910, 9230, 273, 267, 272, 17903, 9064, 17482, 815, 630, 6352, 263, 9064, 1070, 272, 3418, 2745, 3488, 9064, 5654, 899, 713, 1412, 3418, 2745, 263, 9064, 3418, 311, 318, 9064, 815, 5286, 31715, 11583, 318, 2908, 314, 9834, 267, 281, 3910, 9064, 3418, 2745, 3488, 311, 9062, 23940, 5654, 899, 713, 1412, 3418, 2745, 11583, 318, 9064, 10142, 258, 20412, 622, 519, 1942, 676, 1210, 519, 1942, 1599, 21506, 297, 815, 12337, 21798, 11583, 318, 2908, 11971, 267, 9064, 3418, 2745, 3488, 1492, 3803, 1942, 568, 281, 1412, 3418, 2745, 263, 297, 10142, 263, 9064, 267, 297, 318, 20931, 264, 815, 13506, 5327, 1417, 11583, 318, 2908, 11971, 267, 9064, 267, 10401, 267, 11133, 318, 527, 619, 3418, 258, 263, 9064, 264, 815, 13506, 5327, 1417, 11583, 11971, 267, 9064, 267, 10401, 267, 11133, 318, 527, 619, 3418, 2745, 9497, 763, 3279, 17223, 689, 13506, 16350, 281, 14744, 2745, 630, 9064, 3418, 18257, 2745, 9497, 297, 318, 20931, 616, 281, 14744, 2745, 630, 297, 318, 20931, 264, 18257, 5897, 258, 3487, 476, 274, 281, 10439, 1944, 476, 5897, 258, 272, 4729, 519, 9751, 1239, 543, 519, 5833, 1899, 1477, 10823, 8807, 2682, 263, 272, 267, 4453, 21653, 14352, 276, 267, 476, 274, 269, 4037, 17903, 10823, 19502, 11583, 11971, 10086, 549, 20298, 10823, 269, 29786, 3488, 344, 20298, 10823, 11859, 16932, 3488, 311, 20298, 10823, 19502, 11583, 267, 5286, 31715, 11583, 318, 2908, 267, 9064, 17903, 258, 10823, 269, 5586, 754, 3488, 32086, 1239, 3299, 1412, 30791, 9695, 262, 10142, 258, 303, 9438, 2418, 585, 2551, 7306, 540, 476, 1724, 267, 1822, 543, 476, 1704, 267, 1822, 1477, 335, 9438, 272, 815, 5286, 31715, 8443, 272, 267, 476, 1724, 3910, 23940, 3418, 2745, 3488, 2690, 2551, 815, 476, 1724, 476, 1822, 267, 649, 3589, 513, 7443, 540, 4939, 325, 262, 4939, 3589, 272, 3418, 335, 9438, 273, 815, 5286, 31715, 8443, 272, 267, 476, 1704, 3910, 23940, 3418, 2745, 3488, 2690, 2551, 815, 476, 1704, 476, 1822, 267, 649, 3589, 513, 7443, 540, 4939, 325, 262, 4939, 3589, 273, 3418, 258, 7120, 519, 11236, 1477, 10823, 19502, 263, 1724, 28872, 9438, 272, 10086, 321, 343, 3299, 12508, 1125, 284, 1015, 3418, 10823, 19502, 263, 1704, 28872, 9438, 273, 10086, 321, 343, 3299, 12508, 1125, 284, 1015, 3418, 258, 10823, 20481, 31476, 258, 273, 4729, 808, 318, 20931, 21506, 10823, 8807, 2682, 263, 273, 267, 4453, 21653, 14352, 276, 267, 476, 274, 269, 4037, 17903, 10823, 19502, 263, 297, 318, 20931, 3418, 10823, 269, 29786, 3488, 21798, 936, 21767, 20298, 10823, 11859, 16932, 3488, 10831, 540, 21767, 20298, 258, 10823, 20481, 3890, 476, 5897, 258, 3487, 476, 275, 281, 10439, 1944, 808, 263, 9064, 318, 271, 267, 23940, 318, 272, 3418, 9064, 271, 318, 10094, 815, 5286, 7456, 1231, 10628, 8987, 1015, 267, 476, 1015, 267, 476, 1220, 3418, 9064, 272, 318, 10094, 815, 5286, 7456, 1231, 10628, 8987, 272, 267, 476, 275, 267, 476, 1220, 10142, 297, 318, 10094, 815, 5286, 25910, 9230, 6352, 263, 9064, 271, 318, 10094, 1070, 7003, 263, 9064, 272, 318, 10094, 4297, 3418, 1721, 1775, 538, 2039, 12759, 263, 9064, 271, 318, 10094, 264, 8029, 825, 585, 795, 538, 2039, 12759, 263, 9064, 272, 318, 10094, 264, 8029, 1038, 512, 815, 5286, 19544, 23637, 9230, 9064, 271, 318, 10094, 5157, 3910, 23940, 272, 318, 10094, 14728, 8079, 3418, 1038, 808, 318, 10094, 5157, 6012, 329, 316, 815, 12337, 21798, 11583, 318, 2908, 267, 586, 267, 512, 3418, 1363, 1477, 297, 318, 10094, 815, 808, 318, 10094, 11053, 1477, 28744, 263, 297, 318, 10094, 3418, 2745, 263, 297, 318, 10094, 17482, 3418, 18257, 14808, 815, 12301, 8807, 2682, 263, 274, 267, 4453, 21653, 14352, 276, 267, 476, 274, 269, 4037, 17903, 1314, 815, 4453, 14491, 5334, 889, 7120, 263, 9340, 267, 16879, 8782, 274, 323, 20298, 1314, 19502, 5334, 16577, 263, 9064, 271, 318, 10094, 267, 23940, 272, 318, 10094, 267, 808, 318, 10094, 264, 18257, 1477, 258, 10823, 20481, 31476, 10823, 8807, 2682, 263, 274, 267, 4453, 21653, 14352, 276, 267, 476, 274, 269, 4037, 17903, 5425, 815, 12301, 269, 4186, 712, 263, 9064, 271, 318, 10094, 267, 23940, 272, 318, 10094, 267, 808, 318, 10094, 3418, 10823, 17085, 8475, 263, 5425, 267, 538, 1467, 284, 272, 267, 23935, 1125, 284, 1015, 3418, 10823, 19502, 263, 9064, 314, 271, 3910, 9064, 314, 272, 3910, 262, 2692, 3299, 12508, 1125, 284, 1015, 3418, 10823, 26644, 3488, 8245, 680, 652, 9949, 609, 10297, 20298, 10823, 20481, 3890, 0, 454, 12248, 272, 815, 476, 271, 454, 12248, 273, 815, 476, 271, 692, 258, 31230, 998, 519, 2039, 2016, 538, 1250, 3403, 454, 1721, 1775, 538, 2039, 263, 4391, 273, 19054, 267, 476, 279, 5325, 6187, 272, 17107, 476, 1948, 15188, 538, 1776, 15254, 267, 1317, 649, 17885, 621, 454, 476, 1699, 815, 1775, 692, 476, 1948, 7831, 7857, 649, 4718, 630, 1729, 2638, 13302, 994, 476, 2063, 323, 13424, 815, 476, 1015, 692, 476, 1948, 17677, 2638, 454, 476, 814, 29602, 815, 8771, 454, 476, 814, 1415, 29602, 815, 8771, 692, 476, 1948, 3115, 564, 819, 1293, 454, 476, 1065, 12248, 815, 476, 271, 692, 476, 1948, 3657, 649, 7487, 13302, 888, 476, 13302, 815, 6936, 692, 476, 1948, 31230, 998, 519, 9704, 910, 4063, 649, 2811, 3257, 713, 454, 476, 1948, 1318, 547, 2451, 454, 476, 1247, 1699, 3436, 476, 271, 1384, 825, 1948, 5192, 519, 1699, 7857, 18011, 2158, 5073, 825, 7857, 815, 1699, 4939, 476, 1015, 454, 825, 1699, 815, 1699, 12262, 476, 1015, 692, 825, 1948, 6744, 649, 2811, 13302, 454, 825, 952, 2063, 323, 13424, 2999, 7857, 912, 8587, 13302, 815, 8771, 454, 8587, 2736, 692, 825, 1948, 6744, 585, 17279, 454, 825, 952, 2063, 323, 13424, 2652, 7857, 912, 8587, 1065, 12248, 815, 1065, 12248, 1341, 476, 272, 454, 825, 3116, 912, 8587, 1948, 6744, 851, 272, 543, 851, 273, 5595, 3652, 454, 8587, 952, 1065, 12248, 2652, 476, 272, 912, 1038, 814, 29602, 815, 6936, 454, 8587, 952, 1065, 12248, 11203, 476, 271, 912, 1038, 814, 1415, 29602, 815, 6936, 692, 8587, 1065, 12248, 815, 476, 271, 692, 825, 1948, 5457, 2063, 7857, 454, 825, 2063, 323, 13424, 815, 7857, 692, 476, 1948, 6744, 5595, 1586, 630, 520, 1439, 540, 8520, 994, 476, 952, 1065, 12248, 2652, 476, 272, 912, 825, 814, 29602, 815, 6936, 454, 476, 952, 1065, 12248, 11203, 476, 271, 912, 825, 814, 1415, 29602, 815, 6936, 692, 476, 1948, 1403, 649, 4312, 513, 5595, 267, 543, 13302, 267, 1287, 1434, 547, 979, 454, 476, 952, 814, 1415, 29602, 543, 13302, 912, 825, 1293, 272, 815, 1293, 272, 1341, 476, 272, 454, 476, 952, 814, 29602, 543, 13302, 912, 825, 1293, 273, 815, 1293, 273, 1341, 476, 272, 692, 2745, 9497, 15575, 476, 272, 815, 14307, 1293, 272, 994, 2745, 9497, 15575, 476, 273, 815, 14307, 1293, 273, 994, 0, 258, 11764, 2719, 513, 2929, 454, 17524, 8217, 815, 1592, 263, 9792, 263, 272, 267, 1911, 1822, 272, 4917, 28744, 9852, 650, 8217, 994, 2381, 3065, 815, 1295, 9852, 650, 8217, 994, 10946, 3065, 815, 3193, 9852, 650, 8217, 994, 611, 1288, 815, 2040, 9852, 650, 8217, 994, 2745, 6600, 10454, 1295, 1297, 568, 281, 2715, 2381, 3065, 348, 5602, 2745, 6600, 257, 307, 928, 3193, 1297, 538, 1592, 568, 281, 2715, 10946, 3065, 348, 5602, 2745, 6600, 10454, 2040, 568, 2715, 611, 1288, 348, 8442, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 9041, 265, 318, 322, 5317, 281, 583, 325, 268, 279, 9041, 265, 29390, 12163, 7711, 11742, 476, 2433, 1708, 271, 270, 1321, 270, 736, 476, 278, 281, 3953, 476, 31284, 22287, 486, 454, 7711, 12041, 476, 2433, 335, 30389, 29697, 287, 321, 4660, 340, 2593, 454, 7711, 17572, 672, 2433, 22332, 269, 13127, 492, 375, 30522, 353, 19404, 491, 14035, 491, 21211, 30006, 491, 18258, 454, 7711, 20373, 10778, 12163, 5814, 10070, 692, 5035, 8827, 24998, 2187, 825, 1219, 4894, 291, 340, 12393, 4131, 1562, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 1193, 454, 1038, 8173, 1038, 10518, 815, 11713, 1038, 2611, 6831, 3300, 815, 10070, 5861, 3300, 4433, 994, 1038, 585, 524, 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 ]
[ 968, 335, 2001, 532, 12075, 892, 22921, 476, 275, 267, 1822, 269, 2311, 18379, 582, 779, 2669, 267, 799, 7018, 693, 681, 2135, 12064, 593, 519, 476, 2641, 560, 540, 2904, 476, 15433, 271, 267, 519, 13485, 941, 693, 519, 4463, 540, 741, 13884, 563, 10214, 9962, 538, 3310, 543, 811, 9434, 538, 1871, 982, 1010, 2123, 2978, 832, 607, 513, 29966, 267, 729, 18379, 582, 779, 960, 607, 513, 6037, 1807, 540, 519, 6426, 543, 1585, 3909, 1568, 883, 519, 12590, 13172, 540, 519, 1325, 12455, 638, 1014, 1893, 269, 634, 1101, 960, 6192, 729, 519, 595, 622, 577, 1143, 267, 3370, 538, 476, 13679, 274, 693, 11062, 267, 12590, 267, 519, 1101, 1433, 547, 581, 9102, 538, 519, 4095, 11469, 269, 11153, 1296, 1714, 17863, 1354, 18379, 582, 6192, 1010, 4305, 540, 24758, 519, 6426, 269, 634, 1715, 11620, 729, 693, 2063, 9783, 538, 476, 14917, 272, 267, 543, 519, 6196, 11620, 4553, 538, 476, 14917, 274, 269, 634, 1715, 11620, 729, 3808, 609, 621, 267, 543, 3976, 519, 2898, 6426, 729, 6192, 269, 1677, 621, 941, 3773, 513, 595, 622, 577, 1143, 543, 513, 1558, 3740, 4528, 540, 519, 25360, 916, 269, 901, 1433, 729, 9102, 538, 476, 14917, 274, 693, 11062, 267, 7136, 1421, 676, 15656, 5682, 543, 631, 1301, 611, 8123, 9652, 267, 543, 729, 519, 1101, 6426, 9102, 538, 3013, 269, 769, 476, 12739, 276, 7902, 513, 2034, 7160, 267, 538, 519, 7041, 540, 799, 18379, 582, 729, 19443, 676, 519, 4860, 269, 3627, 29158, 630, 13932, 271, 268, 15433, 280, 1070, 540, 623, 569, 17625, 267, 945, 849, 1185, 513, 2647, 1702, 540, 519, 4095, 11469, 563, 6624, 1004, 616, 28280, 547, 3605, 602, 519, 1101, 6426, 9102, 538, 3013, 729, 711, 2296, 2507, 610, 1022, 824, 3864, 1893, 269, 769, 1249, 267, 2296, 543, 3864, 1893, 645, 17156, 1131, 711, 581, 9102, 538, 3013, 2394, 513, 2540, 2663, 256, 18379, 582, 779, 6426, 1705, 1454, 811, 982, 3142, 519, 20227, 547, 519, 25384, 25165, 945, 941, 10847, 532, 5137, 2864, 982, 519, 29763, 2507, 621, 5795, 873, 7924, 267, 607, 789, 1705, 711, 723, 513, 2854, 1893, 540, 741, 1378, 2394, 713, 6426, 729, 9102, 585, 873, 269, 634, 1292, 2601, 1946, 972, 941, 1100, 2296, 1893, 645, 17156, 9102, 538, 3013, 2394, 519, 3735, 476, 10204, 271, 779, 267, 568, 1317, 789, 941, 811, 10464, 569, 543, 3362, 16865, 689, 4789, 909, 2394, 519, 2377, 14417, 540, 519, 21829, 2782, 563, 3719, 519, 2186, 540, 6426, 3627, 18379, 582, 2877, 585, 1010, 29966, 23793, 547, 519, 5065, 1977, 2048, 5715, 2103, 685, 729, 6157, 711, 547, 581, 1336, 538, 4789, 267, 610, 9170, 3116, 269, 898, 1185, 547, 581, 2813, 593, 519, 5544, 269, 18379, 582, 6444, 602, 835, 540, 519, 1292, 4128, 1946, 519, 7111, 4892, 941, 2808, 2048, 27146, 1438, 685, 676, 3864, 13896, 267, 568, 602, 789, 1705, 711, 723, 513, 2854, 9904, 540, 741, 1378, 269, 1358, 28078, 3592, 14311, 998, 9275, 1893, 267, 543, 1018, 2370, 1603, 789, 1705, 729, 538, 1360, 3908, 3182, 3645, 2592, 267, 811, 899, 12266, 9246, 30735, 923, 982, 602, 540, 1022, 6198, 9904, 673, 1893, 899, 1346, 540, 2342, 610, 5607, 610, 4000, 563, 28733, 569, 519, 6478, 540, 2696, 729, 1945, 891, 1004, 2877, 952, 789, 941, 547, 3247, 10847, 532, 5137, 543, 7301, 10971, 267, 543, 1451, 547, 10847, 519, 3020, 29763, 2507, 855, 2696, 779, 6478, 1223, 711, 1483, 12264, 581, 12261, 3927, 883, 741, 18642, 3182, 3645, 12400, 269, 1924, 18379, 582, 1336, 513, 8748, 3070, 281, 646, 1131, 2285, 519, 7111, 4892, 519, 10516, 540, 2696, 779, 6478, 543, 849, 2285, 873, 519, 10516, 540, 3020, 7924, 269, 1261, 8815, 547, 1451, 741, 9275, 1893, 267, 543, 789, 8815, 547, 1451, 519, 5375, 1158, 779, 13093, 2045, 9904, 630, 6011, 547, 24969, 1913, 1500, 909, 540, 1915, 6698, 899, 589, 267, 645, 267, 595, 267, 667, 267, 661, 267, 3092, 4700, 18379, 582, 1287, 12261, 519, 6426, 883, 741, 5065, 1325, 12455, 23936, 11469, 267, 13093, 13443, 1210, 938, 9904, 256, 901, 1259, 267, 519, 25165, 1705, 711, 2731, 1256, 991, 547, 1451, 875, 547, 3717, 2296, 267, 543, 789, 1223, 1869, 723, 513, 6426, 602, 789, 1223, 30426, 269, 769, 1249, 267, 789, 1223, 979, 593, 547, 946, 741, 9241, 4121, 9904, 547, 2328, 824, 2835, 540, 741, 1378, 267, 952, 789, 865, 5551, 267, 543, 1628, 741, 2528, 607, 519, 824, 6082, 540, 519, 1158, 1185, 2944, 269, 1548, 513, 8748, 10516, 2336, 24916, 1010, 6426, 267, 3627, 18379, 582, 3370, 693, 11062, 538, 476, 14917, 275, 513, 8144, 540, 645, 1314, 614, 779, 11910, 547, 519, 1133, 935, 30062, 269, 2060, 519, 6351, 540, 1010, 14930, 646, 6192, 630, 14917, 275, 264, 1010, 1134, 8153, 4095, 18049, 23548, 684, 267, 9102, 693, 11062, 267, 12590, 267, 538, 476, 14917, 277, 269, 634, 4095, 10021, 518, 267, 16030, 606, 1163, 3789, 540, 519, 7083, 779, 27302, 543, 513, 8144, 540, 519, 700, 24147, 595, 622, 577, 1143, 267, 729, 3370, 693, 11062, 538, 476, 14917, 280, 269, 769, 476, 15757, 272, 18379, 582, 9102, 538, 2296, 513, 2370, 4320, 13886, 4095, 12480, 690, 1132, 267, 4553, 538, 476, 15757, 273, 676, 1010, 8298, 1157, 10021, 518, 267, 1312, 540, 799, 941, 5497, 585, 519, 6044, 540, 519, 12075, 538, 2296, 269, 3571, 2063, 8144, 729, 7338, 2701, 335, 731, 779, 4595, 516, 22417, 267, 6192, 543, 3370, 676, 6182, 785, 531, 21984, 5459, 538, 476, 12739, 280, 563, 11990, 18379, 582, 779, 5339, 2534, 267, 2705, 267, 6905, 883, 824, 4610, 982, 602, 540, 4095, 6044, 269, 1261, 729, 267, 609, 9400, 631, 1430, 267, 835, 540, 519, 15769, 540, 519, 7345, 25360, 332, 3883, 540, 476, 13932, 271, 267, 799, 729, 519, 1101, 1433, 540, 1022, 2186, 2479, 9102, 538, 3013, 1848, 1284, 849, 1118, 513, 18187, 320, 540, 713, 476, 13932, 271, 7345, 25360, 916, 1433, 269, 1677, 6718, 543, 1451, 811, 827, 713, 1433, 3643, 938, 1357, 2985, 693, 519, 1739, 3095, 281, 8437, 3371, 454, 13425, 856, 713, 476, 10082, 275, 7591, 321, 650, 602, 729, 9102, 543, 29751, 538, 5507, 779, 14364, 8664, 676, 3627, 24380, 2917, 269, 634, 4860, 269, 3627, 24380, 2917, 729, 1996, 1034, 540, 519, 519, 11596, 270, 680, 904, 540, 1010, 1554, 563, 310, 525, 2917, 5206, 267, 968, 1607, 568, 15210, 1532, 4454, 2744, 269, 1656, 865, 568, 8726, 568, 22876, 3293, 676, 9292, 1154, 938, 16705, 538, 1010, 9997, 282, 676, 14012, 532, 267, 15475, 267, 2901, 2047, 610, 18549, 267, 547, 1010, 17946, 770, 640, 267, 610, 703, 655, 704, 766, 267, 799, 6157, 9039, 666, 798, 267, 945, 814, 1022, 4250, 540, 2696, 267, 610, 1022, 1483, 7287, 540, 24886, 13924, 269, 898, 5176, 4145, 782, 1346, 547, 2015, 713, 267, 945, 723, 4376, 547, 798, 609, 512, 11232, 985, 267, 4619, 340, 16226, 3620, 11817, 267, 22968, 3620, 11817, 267, 1404, 3620, 11817, 267, 610, 1022, 824, 4025, 540, 1857, 267, 6752, 762, 4129, 542, 269, 1403, 891, 7443, 519, 20339, 540, 2367, 267, 596, 616, 2312, 282, 707, 7694, 568, 1434, 267, 543, 707, 2744, 17608, 282, 855, 952, 789, 616, 2901, 5609, 995, 538, 2933, 267, 610, 2067, 538, 7410, 547, 5609, 540, 1585, 5686, 267, 1287, 267, 621, 568, 547, 581, 21787, 267, 596, 723, 513, 8909, 2272, 547, 1118, 269, 744, 581, 2264, 267, 561, 652, 2696, 2161, 538, 602, 1554, 267, 968, 4322, 723, 829, 1639, 538, 741, 538, 18709, 267, 855, 741, 1973, 798, 594, 2154, 693, 16815, 3946, 28461, 2791, 666, 6718, 1250, 18187, 320, 540, 713, 3376, 2515, 689, 1250, 661, 1206, 344, 15188, 693, 519, 1739, 3095, 281, 8437, 1934, 547, 6718, 689, 1250, 661, 1206, 344, 15188, 454, 1607, 1404, 321, 650, 949, 581, 513, 2370, 2182, 547, 1224, 1934, 267, 865, 594, 723, 3769, 922, 16606, 2630, 912, 3528, 4971, 540, 519, 3751, 540, 18301, 267, 630, 320, 264, 543, 693, 519, 7287, 540, 782, 945, 2648, 1010, 17729, 267, 630, 321, 264, 693, 519, 20989, 540, 519, 7122, 267, 630, 322, 264, 593, 519, 552, 557, 540, 942, 267, 630, 323, 264, 786, 581, 5340, 267, 634, 1390, 1028, 1125, 267, 610, 1554, 540, 10385, 269, 630, 324, 264, 634, 31950, 2044, 267, 799, 568, 1631, 2965, 8600, 267, 786, 711, 1152, 20546, 1169, 774, 532, 602, 814, 2943, 1044, 2938, 267, 855, 786, 28222, 9765, 519, 25932, 853, 4958, 577, 540, 1480, 1230, 4003, 630, 325, 1040, 1703, 786, 581, 513, 1175, 23830, 540, 782, 519, 769, 4725, 527, 1218, 540, 519, 2622, 267, 538, 741, 1585, 543, 1697, 2051, 2293, 282, 543, 741, 31654, 1682, 543, 631, 22395, 786, 581, 865, 4010, 543, 865, 8792, 569, 30431, 730, 267, 602, 519, 1034, 5728, 23539, 786, 581, 4362, 630, 326, 1040, 1280, 2696, 4927, 3142, 1169, 4518, 883, 7225, 8540, 267, 609, 1169, 5728, 774, 532, 267, 2436, 621, 581, 6153, 267, 610, 2436, 621, 581, 9409, 269, 8278, 3380, 269, 1535, 4512, 269, 901, 20989, 786, 581, 9788, 856, 1310, 513, 1007, 4643, 267, 543, 786, 2874, 540, 16381, 543, 20155, 1152, 282, 543, 267, 14669, 547, 782, 1866, 267, 519, 20155, 568, 19034, 909, 585, 519, 1234, 4003, 540, 519, 4658, 540, 1164, 630, 528, 31676, 264, 17510, 630, 327, 1070, 543, 519, 16381, 585, 1346, 540, 1970, 630, 528, 3618, 569, 264, 24419, 630, 328, 1040, 1107, 715, 269, 645, 269, 634, 20155, 568, 1360, 838, 20160, 630, 330, 1070, 543, 519, 16381, 1510, 645, 18847, 630, 331, 1040, 1677, 2061, 769, 935, 1597, 1466, 267, 972, 616, 5094, 1684, 832, 585, 16153, 1154, 519, 7577, 282, 543, 789, 616, 865, 1114, 267, 602, 9039, 666, 12161, 602, 616, 711, 27315, 2685, 9420, 269, 634, 1684, 528, 799, 10741, 883, 519, 20155, 568, 1360, 7522, 267, 543, 519, 17778, 909, 547, 621, 616, 10169, 2352, 282, 585, 799, 17217, 972, 616, 25864, 1082, 4658, 827, 621, 630, 332, 1040, 1809, 519, 1684, 528, 602, 3947, 9980, 8896, 883, 519, 16381, 568, 1360, 2647, 267, 543, 1360, 12796, 1190, 282, 799, 3123, 971, 10606, 547, 26600, 547, 621, 267, 602, 621, 568, 3622, 22125, 630, 333, 1040, 1107, 715, 269, 645, 269, 634, 2269, 527, 1684, 528, 5012, 2509, 519, 9406, 6953, 663, 267, 543, 519, 3376, 835, 547, 519, 19382, 630, 334, 1040, 898, 786, 581, 538, 642, 664, 585, 835, 538, 513, 17646, 1088, 8910, 3213, 520, 543, 22666, 5678, 547, 1268, 622, 835, 540, 1164, 17510, 267, 538, 1931, 547, 1205, 1520, 18283, 766, 883, 519, 5580, 23089, 630, 335, 5148, 585, 972, 568, 2290, 540, 8748, 543, 2620, 6755, 564, 1674, 267, 945, 786, 3406, 543, 4983, 1169, 1367, 630, 336, 5148, 543, 782, 945, 3112, 24969, 1744, 756, 321, 1961, 628, 630, 337, 264, 538, 519, 5678, 540, 2052, 22528, 630, 338, 1070, 610, 814, 711, 4607, 513, 3043, 12942, 543, 1007, 8745, 630, 331, 1070, 610, 3112, 6961, 513, 2312, 7170, 547, 513, 1978, 5800, 542, 540, 519, 8092, 540, 8871, 1047, 630, 340, 1070, 1590, 581, 5828, 538, 693, 519, 2451, 1684, 528, 630, 342, 1040, 634, 25867, 9524, 619, 3657, 4330, 538, 476, 272, 634, 1087, 269, 17488, 269, 476, 1626, 269, 1107, 476, 273, 634, 1087, 269, 1775, 269, 476, 278, 267, 476, 279, 267, 476, 280, 269, 1107, 20917, 269, 1535, 343, 643, 269, 476, 1789, 267, 476, 4029, 269, 1107, 1535, 343, 341, 269, 476, 4029, 267, 476, 3953, 269, 1107, 12253, 642, 4512, 267, 476, 280, 267, 476, 1015, 269, 1107, 7225, 324, 476, 1691, 269, 476, 1428, 269, 1107, 4860, 269, 1535, 343, 269, 476, 1321, 547, 476, 1428, 267, 1299, 322, 269, 1809, 607, 972, 616, 930, 4658, 1454, 1732, 31235, 609, 519, 12937, 540, 513, 7591, 5174, 650, 982, 519, 6478, 540, 2696, 267, 621, 949, 711, 581, 993, 1170, 547, 1098, 9216, 513, 7638, 572, 610, 1079, 585, 741, 3131, 10650, 269, 968, 1492, 7083, 4906, 4927, 581, 7000, 689, 24656, 609, 1010, 22800, 4911, 1564, 267, 538, 1166, 5446, 9605, 267, 2921, 966, 3188, 766, 593, 873, 602, 23491, 711, 519, 20227, 267, 9232, 855, 968, 1729, 581, 1350, 528, 1881, 538, 1010, 29513, 269, 589, 535, 30711, 20837, 9783, 543, 3357, 8521, 689, 1354, 1864, 281, 589, 8536, 5215, 1295, 626, 1042, 21349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 609, 14391, 725, 543, 7696, 338, 282, 513, 11000, 593, 19607, 559, 16549, 651, 569, 928, 676, 631, 12991, 6993, 12282, 5919, 19359, 1063, 4860, 269, 808, 269, 623, 992, 518, 267, 11427, 9452, 543, 1866, 267, 2235, 320, 476, 8687, 272, 268, 8146, 272, 609, 606, 4994, 282, 12215, 540, 23609, 609, 1644, 4967, 543, 5022, 282, 4967, 593, 30464, 564, 13560, 5600, 543, 519, 16549, 651, 569, 928, 1920, 282, 2034, 5299, 540, 1412, 11872, 593, 519, 16549, 651, 569, 928, 7731, 543, 741, 5851, 3299, 4553, 676, 11265, 4566, 282, 5067, 6339, 282, 4574, 593, 519, 1272, 540, 519, 3735, 681, 792, 31288, 11184, 8176, 595, 7342, 5069, 543, 8648, 2376, 593, 7338, 2423, 985, 24849, 267, 476, 5197, 277, 269, 8562, 320, 476, 9692, 280, 268, 4489, 277, 563, 8923, 1294, 519, 5291, 2517, 322, 644, 331, 7456, 756, 6983, 600, 28482, 16896, 270, 1613, 270, 5960, 268, 3918, 294, 268, 1822, 6021, 268, 1822, 4391, 270, 272, 8274, 540, 7043, 3363, 7913, 25201, 585, 7857, 2213, 12215, 540, 519, 3688, 538, 713, 4015, 563, 347, 14630, 1500, 1475, 11260, 271, 910, 476, 4350, 277, 2008, 18871, 7614, 4084, 3296, 1475, 23114, 10070, 2008, 18871, 13072, 1475, 13233, 31845, 7467, 267, 5682, 16049, 267, 5507, 2008, 347, 15761, 550, 1475, 274, 13340, 525, 267, 476, 3066, 32766, 2008, 2710, 596, 917, 811, 827, 713, 286, 18704, 707, 1702, 0, 2467, 616, 1114, 5933, 538, 519, 1587, 1272, 4783, 269, 634, 2185, 5933, 616, 519, 4367, 267, 2208, 267, 15657, 543, 7771, 5933, 269, 634, 2754, 1058, 581, 7580, 538, 6725, 538, 1142, 3942, 540, 519, 1587, 1272, 4783, 538, 1931, 547, 1205, 513, 8013, 6316, 538, 519, 2344, 1747, 563, 2171, 786, 2328, 513, 2688, 11879, 5675, 593, 11150, 8045, 538, 519, 8605, 5020, 18888, 4481, 585, 596, 454, 22145, 14468, 5830, 2228, 454, 763, 10020, 543, 11150, 538, 519, 16373, 6355, 9577, 454, 763, 6725, 1599, 538, 606, 3919, 814, 1896, 5107, 269, 634, 8257, 568, 538, 5279, 540, 6075, 2079, 1141, 519, 2754, 12116, 543, 27786, 519, 2115, 267, 6499, 543, 13821, 540, 519, 5561, 269, 1703, 616, 1896, 4485, 1031, 269, 634, 2754, 949, 4163, 856, 1382, 543, 12220, 538, 1931, 547, 917, 1344, 971, 607, 6075, 26409, 543, 15295, 1239, 269, 901, 1909, 568, 2556, 538, 519, 4367, 5123, 540, 519, 1587, 563, 5475, 22745, 519, 1587, 267, 519, 2754, 949, 4163, 856, 6075, 2079, 547, 1265, 856, 519, 21200, 540, 519, 1587, 676, 519, 5561, 269, 1548, 1705, 519, 1004, 1589, 540, 519, 1587, 286, 1215, 616, 519, 6455, 286, 1280, 513, 2754, 547, 581, 3811, 267, 789, 723, 547, 2932, 6075, 2079, 538, 782, 519, 5933, 540, 519, 1587, 1272, 4783, 269, 769, 519, 2208, 543, 15657, 5933, 267, 519, 2754, 949, 3343, 547, 917, 875, 547, 2087, 741, 2472, 543, 538, 519, 19394, 3942, 547, 8495, 519, 5786, 538, 6455, 563, 763, 6725, 2319, 849, 814, 519, 1909, 547, 2308, 3617, 9513, 2994, 585, 519, 2754, 269, 634, 9513, 2994, 1331, 10229, 267, 6455, 13319, 267, 6455, 3196, 2359, 267, 6075, 543, 31066, 1894, 543, 32398, 269, 769, 519, 4367, 543, 2208, 5933, 540, 519, 1587, 267, 519, 2754, 814, 547, 581, 14021, 538, 10229, 543, 32398, 538, 1931, 547, 1711, 4656, 540, 519, 1587, 543, 922, 10305, 563, 1103, 519, 2663, 5933, 540, 15657, 543, 7771, 519, 2754, 18271, 6455, 13319, 543, 2123, 9513, 2994, 547, 2333, 6455, 543, 1205, 15982, 609, 519, 6075, 547, 2491, 519, 1883, 10305, 540, 519, 1587, 269, 634, 3791, 1909, 540, 6725, 1599, 568, 1587, 543, 3028, 4058, 1141, 519, 8257, 1281, 1587, 543, 6216, 17568, 267, 1449, 6725, 267, 2079, 540, 519, 11183, 267, 2934, 267, 2511, 543, 8851, 540, 2025, 2472, 543, 3091, 15549, 625, 563, 1607, 4640, 568, 4294, 1152, 538, 519, 9921, 543, 7771, 5933, 607, 519, 2754, 11394, 547, 22738, 1587, 1646, 543, 29159, 547, 2333, 6455, 269, 898, 2636, 513, 2754, 547, 2697, 519, 4617, 2472, 609, 1970, 8907, 585, 8851, 689, 519, 1587, 3515, 865, 602, 519, 2754, 666, 13404, 593, 824, 2472, 8744, 1164, 8907, 269, 898, 849, 2337, 519, 2754, 917, 1022, 23696, 6725, 4485, 789, 949, 581, 1210, 563, 763, 8257, 568, 538, 5279, 540, 14499, 269, 1703, 616, 1082, 2188, 7133, 14499, 971, 607, 2229, 9204, 543, 4507, 267, 15712, 267, 14273, 267, 2733, 12781, 543, 6800, 269, 901, 2460, 5540, 519, 1587, 693, 782, 5933, 540, 519, 1587, 1272, 4783, 563, 1103, 519, 9921, 543, 2208, 5933, 267, 519, 2754, 949, 2539, 741, 5777, 538, 1931, 547, 4482, 811, 5561, 998, 3260, 687, 269, 769, 519, 4367, 3942, 519, 3902, 5673, 593, 519, 4540, 5777, 538, 519, 2344, 543, 519, 6075, 26409, 31455, 519, 2754, 568, 17935, 693, 269, 769, 519, 2208, 5933, 519, 2754, 814, 17956, 5561, 14017, 543, 1434, 15884, 543, 5777, 666, 581, 1305, 8013, 569, 538, 519, 2344, 563, 18850, 9084, 267, 1776, 1909, 540, 6725, 267, 568, 519, 946, 540, 1114, 9055, 547, 1205, 519, 2472, 547, 519, 6800, 269, 769, 519, 4367, 543, 2208, 5933, 519, 2754, 814, 547, 946, 782, 519, 14778, 9055, 2139, 607, 789, 723, 547, 1711, 4656, 540, 519, 1587, 543, 6542, 10727, 593, 519, 8244, 540, 741, 2472, 269, 769, 519, 9921, 3942, 519, 2754, 949, 3442, 547, 723, 741, 5370, 1152, 538, 454, 572, 21124, 6753, 269, 14936, 267, 519, 8257, 568, 538, 5279, 540, 1942, 4324, 2079, 269, 634, 8257, 5654, 693, 519, 3790, 267, 12587, 267, 4220, 540, 6725, 2238, 269, 901, 568, 547, 5512, 519, 8257, 547, 7584, 519, 2238, 602, 2709, 519, 1655, 3255, 1813, 547, 519, 12434, 12236, 269, 901, 568, 1271, 538, 782, 519, 1587, 1272, 5933, 269, 634, 23265, 693, 519, 1439, 540, 519, 1554, 1616, 547, 2333, 741, 5763, 543, 2359, 1590, 2327, 621, 563, 2467, 616, 1614, 5686, 540, 14021, 2994, 269, 2271, 2400, 2994, 538, 513, 1870, 616, 4294, 950, 519, 1870, 6499, 547, 2087, 741, 6109, 779, 8013, 6316, 269, 1358, 2154, 513, 2603, 540, 14021, 3646, 269, 1703, 616, 1614, 2010, 540, 14021, 2994, 269, 1703, 568, 2344, 21774, 1141, 519, 2754, 11394, 547, 2333, 519, 2344, 2671, 585, 519, 2754, 779, 2472, 563, 15124, 518, 6725, 3646, 616, 6964, 538, 519, 1459, 6990, 269, 634, 2754, 4679, 519, 10229, 13258, 6578, 543, 519, 6455, 11825, 976, 538, 519, 2344, 269, 1703, 786, 581, 513, 2603, 540, 32398, 3646, 543, 30572, 11044, 269, 901, 4640, 568, 1360, 3617, 950, 519, 2754, 779, 2472, 538, 519, 1587, 1272, 4783, 616, 538, 519, 4367, 543, 2208, 5933, 269, 634, 4640, 568, 1031, 1141, 519, 1699, 6990, 723, 711, 2943, 4628, 1044, 15459, 563, 763, 2754, 1223, 849, 723, 7074, 602, 519, 6455, 540, 519, 2754, 616, 2810, 543, 519, 1004, 616, 1631, 2810, 741, 18820, 593, 519, 1587, 3648, 269, 1280, 513, 1587, 602, 568, 538, 519, 9921, 3942, 267, 2344, 21774, 949, 711, 2731, 960, 269, 634, 4640, 568, 849, 2500, 950, 519, 15712, 723, 1044, 9561, 2666, 538, 2474, 540, 6455, 2943, 538, 519, 2898, 2872, 267, 519, 7194, 1397, 602, 6455, 540, 2472, 616, 2810, 269, 634, 2754, 949, 849, 1265, 3294, 609, 519, 7207, 538, 6721, 538, 1804, 454, 29173, 267, 971, 602, 519, 11615, 540, 4336, 2285, 873, 1713, 8013, 5383, 269, 634, 2034, 4640, 538, 14021, 2994, 568, 2344, 1646, 269, 901, 568, 950, 519, 2754, 4422, 883, 1007, 11182, 609, 741, 4540, 5370, 543, 2533, 269, 901, 4386, 950, 519, 2754, 779, 2472, 616, 538, 519, 15657, 543, 19394, 5933, 538, 519, 1587, 1272, 4783, 538, 519, 8912, 16857, 6753, 269, 634, 2344, 568, 15459, 543, 519, 10229, 543, 6725, 814, 6603, 782, 519, 1004, 563, 7476, 707, 1101, 1957, 609, 476, 1428, 260, 5508, 293, 454, 1607, 4640, 568, 2500, 585, 519, 9921, 543, 19394, 5933, 950, 519, 10721, 814, 1831, 1360, 3608, 543, 2500, 538, 519, 2504, 540, 741, 5370, 543, 2533, 269, 634, 2754, 1590, 1265, 1007, 2150, 11474, 610, 1007, 6990, 269, 1452, 6990, 1590, 2291, 585, 519, 4640, 547, 960, 269, 634, 2754, 1590, 849, 723, 519, 12588, 547, 3132, 811, 269, 898, 1590, 723, 896, 583, 28895, 12227, 942, 267, 4074, 942, 543, 3854, 2200, 563, 763, 2754, 1058, 711, 8833, 693, 782, 538, 7829, 519, 9450, 4238, 269, 1703, 814, 547, 581, 1007, 9055, 540, 3892, 2139, 585, 519, 2754, 547, 946, 269, 634, 3892, 9055, 1058, 581, 10097, 267, 2500, 543, 6325, 269, 634, 2754, 30877, 789, 723, 547, 581, 2518, 610, 3486, 607, 741, 1459, 6990, 723, 1831, 15459, 543, 6455, 616, 13302, 269, 634, 3791, 4640, 538, 519, 946, 540, 14021, 2994, 568, 519, 946, 540, 1587, 1646, 269, 2311, 713, 1448, 519, 2754, 11394, 547, 2087, 610, 12189, 741, 4540, 2472, 563, 1607, 4640, 568, 711, 1031, 538, 519, 4367, 610, 2208, 1974, 540, 519, 1587, 1272, 4783, 269, 898, 568, 1031, 538, 519, 9921, 543, 19394, 5933, 538, 519, 4540, 2344, 2127, 269, 589, 2603, 540, 18820, 4386, 538, 519, 2754, 779, 1382, 543, 1646, 13623, 607, 789, 3343, 547, 1265, 856, 689, 519, 5561, 1018, 789, 899, 610, 798, 711, 899, 827, 741, 2472, 269, 10866, 1382, 1058, 581, 5645, 585, 7145, 563, 763, 5561, 538, 519, 3148, 917, 782, 827, 519, 1587, 269, 634, 2243, 568, 968, 732, 789, 13854, 610, 6126, 9495, 1403, 789, 946, 519, 2841, 3218, 779, 2472, 267, 1946, 616, 789, 3257, 865, 286, 21436, 779, 12220, 949, 581, 5645, 856, 1282, 713, 1974, 269, 1548, 568, 519, 24117, 540, 519, 2754, 538, 1210, 713, 4640, 286, 634, 2754, 13922, 547, 4482, 741, 4540, 5561, 547, 946, 741, 4824, 2472, 1759, 593, 519, 6075, 14017, 543, 1434, 15884, 602, 2907, 6818, 563, 763, 2754, 949, 849, 946, 713, 4640, 950, 789, 616, 538, 606, 2872, 609, 7920, 6639, 10124, 269, 634, 6639, 7760, 28173, 873, 547, 7683, 543, 9846, 547, 2087, 741, 2472, 269, 1280, 519, 4640, 547, 581, 2500, 267, 519, 2754, 1058, 723, 7850, 1382, 543, 1646, 7207, 865, 602, 2298, 1382, 568, 5645, 856, 563, 763, 2754, 949, 9772, 519, 4640, 950, 741, 15712, 10393, 10131, 2472, 602, 616, 513, 1732, 2298, 693, 519, 3339, 2344, 5777, 269, 901, 4640, 568, 849, 2500, 538, 1164, 3766, 9512, 6080, 269, 634, 2208, 3942, 2754, 949, 946, 519, 4640, 1152, 950, 519, 2557, 540, 2208, 538, 6455, 540, 2754, 779, 1587, 568, 1360, 1164, 269, 769, 519, 7771, 3942, 519, 2754, 949, 1904, 547, 798, 2123, 9513, 998, 6455, 11825, 976, 538, 1931, 547, 2333, 6455, 269, 10369, 1382, 568, 513, 2629, 1909, 585, 519, 8257, 563, 1607, 4016, 547, 519, 2754, 11018, 267, 10916, 543, 7421, 519, 1239, 593, 519, 6075, 2115, 267, 7375, 543, 8226, 540, 519, 2754, 779, 2472, 269, 634, 1382, 568, 5645, 856, 11179, 538, 782, 519, 5933, 538, 519, 1587, 4783, 269, 898, 568, 513, 1184, 602, 2982, 519, 2754, 741, 9342, 543, 12755, 538, 519, 2344, 1747, 563, 6962, 634, 2754, 538, 7311, 891, 6725, 4640, 2035, 786, 1831, 519, 6205, 538, 519, 6725, 1747, 269, 769, 519, 1699, 2518, 2344, 519, 2359, 814, 547, 581, 7580, 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 ]