Datasets:
JingzeShi
/
decay_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
[ 338, 3890, 8587, 1948, 649, 666, 1293, 6241, 1871, 18045, 338, 263, 1916, 2745, 29254, 272, 19502, 263, 11779, 8782, 8663, 10807, 2020, 2745, 29254, 994, 28744, 29254, 9131, 11243, 262, 7481, 28744, 29254, 314, 9131, 11243, 12887, 305, 908, 11172, 20285, 258, 476, 274, 16644, 1052, 4994, 1871, 593, 1239, 3490, 563, 28744, 29254, 15630, 16229, 3488, 11243, 29125, 258, 4206, 15630, 16229, 3488, 305, 908, 3299, 514, 2897, 18989, 994, 28744, 29254, 2020, 258, 476, 275, 5937, 1092, 20988, 1239, 6460, 454, 28744, 29254, 269, 11243, 6745, 565, 626, 28829, 7386, 1948, 17266, 6460, 454, 28744, 18828, 15126, 29254, 314, 9131, 11243, 12887, 25583, 11172, 316, 4297, 11434, 1948, 11638, 6460, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2006, 5261, 808, 269, 3400, 1407, 267, 513, 26393, 689, 17996, 269, 3400, 1407, 267, 606, 4810, 7436, 2006, 267, 1185, 9783, 519, 4161, 1310, 595, 559, 2917, 1185, 22309, 513, 11356, 2376, 2854, 676, 3400, 1407, 781, 2797, 24343, 267, 1715, 3840, 4975, 9375, 6276, 654, 269, 30197, 563, 2171, 991, 596, 2336, 20055, 721, 1628, 519, 4102, 22808, 4015, 593, 519, 1357, 2336, 8196, 519, 11239, 2630, 547, 1039, 547, 513, 15853, 912, 257, 297, 517, 11936, 595, 559, 2917, 1701, 4437, 13132, 14492, 269, 5254, 3198, 9169, 275, 20941, 267, 476, 1708, 273, 269, 5680, 269, 476, 275, 5463, 269, 476, 1708, 273, 269, 2999, 10059, 2517, 4178, 269, 6798, 13132, 14492, 270, 15161, 19841, 10768, 517, 11936, 318, 4290, 2917, 20101, 0, 11854, 539, 289, 7517, 281, 589, 7693, 9960, 4099, 3710, 585, 3432, 454, 763, 942, 621, 3217, 547, 1020, 1007, 8677, 540, 17215, 1271, 7031, 899, 7573, 267, 10568, 543, 22959, 568, 711, 3728, 2614, 547, 1832, 909, 609, 519, 3747, 538, 513, 6385, 4657, 1604, 269, 634, 991, 585, 1007, 8677, 568, 3226, 2565, 609, 519, 2242, 538, 2916, 3270, 269, 5548, 26359, 30734, 267, 10980, 267, 610, 1932, 1454, 4764, 568, 27200, 2518, 5186, 6137, 9979, 267, 3246, 3255, 585, 6932, 1007, 10860, 543, 3676, 543, 3484, 4238, 3056, 547, 19394, 1426, 3354, 563, 2005, 949, 1491, 476, 279, 547, 476, 280, 1296, 547, 1020, 513, 1007, 7573, 3099, 1210, 6671, 9960, 2409, 543, 513, 1906, 811, 1296, 585, 519, 3099, 547, 3914, 6705, 563, 28317, 4838, 538, 7573, 9960, 568, 1018, 649, 991, 1631, 2223, 26450, 8681, 7502, 731, 267, 513, 7573, 9742, 518, 693, 519, 4139, 19676, 3194, 4659, 630, 7644, 6020, 264, 1767, 538, 16843, 6020, 779, 1007, 9960, 12051, 1547, 968, 8253, 1454, 814, 4957, 538, 519, 2063, 476, 2004, 1296, 269, 634, 2409, 1031, 2221, 538, 5607, 616, 3622, 519, 1482, 607, 519, 3283, 1031, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 269, 2859, 11932, 267, 519, 2557, 540, 6556, 2333, 610, 4719, 2744, 585, 11125, 730, 8677, 568, 1447, 982, 476, 272, 260, 829, 1032, 3034, 12234, 267, 513, 1353, 5342, 676, 16843, 6020, 4951, 602, 4227, 513, 9960, 4783, 676, 1079, 1296, 18922, 547, 606, 2804, 4324, 540, 827, 20430, 476, 1240, 2929, 936, 519, 3730, 1272, 540, 519, 3099, 563, 6124, 518, 9960, 4066, 723, 4389, 602, 942, 547, 827, 3670, 1296, 855, 972, 568, 1869, 4055, 585, 6454, 269, 1677, 2232, 519, 3510, 267, 3744, 543, 2030, 9742, 619, 723, 22283, 909, 741, 3646, 547, 17108, 519, 1646, 540, 1007, 7693, 8677, 602, 666, 1732, 16641, 554, 1513, 615, 2825, 2175, 543, 5706, 10860, 543, 3676, 267, 543, 3132, 2362, 11729, 602, 616, 849, 811, 14312, 267, 543, 811, 14018, 585, 4264, 6694, 1949, 563, 19465, 9960, 31930, 454, 16524, 518, 5108, 2053, 543, 12119, 10148, 616, 519, 1883, 28142, 2507, 0, 1432, 2238, 616, 1434, 585, 1453, 609, 19548, 25097, 344, 888, 8002, 8481, 585, 8866, 609, 24583, 13887, 623, 1023, 344, 454, 268, 8551, 543, 27207, 269, 11300, 2238, 899, 7206, 267, 2721, 267, 543, 9380, 532, 616, 5140, 585, 3384, 5386, 5179, 1983, 563, 268, 11154, 633, 11846, 563, 268, 8274, 10632, 563, 268, 21696, 3724, 681, 4575, 563, 1692, 666, 594, 948, 1250, 1126, 2087, 13002, 1983, 888, 276, 18467, 547, 13724, 2659, 4132, 779, 29986, 454, 268, 5269, 28552, 8342, 269, 20644, 707, 1126, 513, 2027, 15513, 610, 513, 22774, 540, 11954, 3283, 563, 268, 11559, 14301, 543, 10658, 14794, 10632, 563, 268, 18237, 4812, 519, 9046, 563, 268, 634, 9406, 13088, 563, 268, 5675, 31072, 519, 13340, 563, 1692, 666, 594, 948, 1250, 1126, 609, 10010, 609, 13002, 888, 1692, 2052, 594, 6435, 3733, 4132, 888, 268, 5620, 707, 1126, 946, 2647, 8573, 27968, 1957, 267, 3113, 1957, 267, 610, 1957, 609, 6659, 3515, 547, 948, 609, 4484, 543, 2262, 12972, 563, 268, 8347, 15513, 17680, 1186, 610, 824, 1603, 11226, 585, 4313, 563, 268, 2913, 873, 946, 513, 2780, 547, 1826, 3079, 540, 2328, 267, 543, 4001, 17511, 1983, 2038, 563, 268, 5213, 1406, 10404, 1125, 1793, 641, 6853, 960, 563, 4692, 513, 1126, 609, 19548, 25097, 344, 2328, 888, 14399, 609, 19548, 25097, 344, 1995, 9993, 593, 13002, 1813, 547, 7965, 540, 5179, 11558, 543, 3666, 1813, 547, 3441, 547, 519, 3844, 8401, 1062, 543, 32246, 5322, 269, 2290, 1353, 1336, 602, 476, 10037, 269, 274, 260, 540, 1453, 609, 19548, 25097, 344, 941, 1336, 547, 2328, 11234, 267, 19514, 543, 11389, 322, 1758, 14184, 5022, 272, 1916, 1692, 666, 594, 2087, 1250, 1126, 779, 19548, 25097, 344, 888, 288, 3099, 540, 11257, 1404, 606, 1271, 1909, 538, 8156, 19548, 25097, 344, 912, 268, 8447, 3797, 269, 26298, 2866, 543, 5751, 666, 948, 707, 1126, 779, 4222, 267, 8112, 267, 3666, 267, 5179, 1646, 543, 10688, 563, 268, 27706, 3797, 563, 268, 16594, 543, 1893, 3797, 563, 268, 1234, 920, 1049, 3797, 563, 4263, 1018, 2085, 568, 13002, 3964, 888, 5278, 1453, 949, 581, 4712, 585, 1603, 693, 2085, 476, 275, 267, 543, 1866, 949, 711, 581, 4712, 2394, 2085, 476, 277, 269, 3335, 3384, 1453, 609, 16607, 5386, 5179, 1983, 543, 8519, 1688, 4222, 1317, 789, 616, 711, 1210, 741, 3946, 538, 2081, 602, 1131, 7794, 741, 6091, 563, 1692, 666, 594, 2087, 1250, 476, 276, 1032, 31545, 1603, 1983, 888, 1691, 11242, 1677, 13724, 8866, 685, 5675, 10341, 454, 268, 3367, 5455, 269, 8617, 2542, 568, 513, 19480, 6149, 547, 1732, 1603, 543, 2337, 3214, 685, 7794, 741, 1603, 1983, 563, 268, 5269, 621, 8342, 2336, 268, 8073, 5675, 6096, 563, 268, 8347, 7756, 10049, 563, 268, 3503, 16707, 563, 268, 11559, 4260, 333, 16226, 563, 268, 8073, 513, 5675, 6611, 563, 268, 7767, 5384, 563, 9989, 19548, 25097, 344, 1860, 1603, 888, 3674, 13002, 2352, 585, 1453, 609, 19548, 25097, 344, 888, 21652, 8586, 666, 581, 513, 2352, 4305, 547, 1451, 267, 3226, 585, 1453, 609, 19548, 25097, 344, 269, 28206, 1078, 11558, 543, 1688, 8467, 666, 2014, 17140, 585, 513, 1126, 609, 19548, 25097, 344, 3843, 547, 1451, 713, 5578, 269, 14268, 267, 3610, 543, 15637, 666, 1118, 519, 1184, 1447, 17173, 7498, 3963, 798, 1453, 609, 19548, 25097, 344, 991, 1603, 32356, 888, 8253, 1152, 1058, 519, 1603, 804, 1177, 2953, 519, 17568, 540, 707, 1126, 779, 11263, 267, 621, 1058, 948, 547, 2061, 513, 11213, 17945, 269, 2368, 1453, 609, 19548, 25097, 344, 616, 8572, 547, 946, 22796, 543, 23445, 693, 782, 1813, 547, 741, 4887, 1599, 267, 17945, 543, 2039, 540, 5163, 563, 1432, 568, 519, 7454, 5675, 8274, 585, 1453, 609, 19548, 25097, 344, 888, 14399, 609, 19548, 25097, 344, 616, 12155, 547, 2022, 1116, 2152, 543, 4887, 9395, 2287, 267, 799, 666, 1118, 621, 2352, 547, 2226, 2022, 1116, 6617, 538, 1931, 547, 2328, 269, 1323, 23908, 21978, 1793, 656, 1603, 4604, 666, 581, 6225, 585, 930, 1453, 269, 898, 18795, 693, 606, 5086, 543, 814, 513, 28728, 585, 8066, 1957, 563, 4692, 1453, 609, 19548, 25097, 344, 946, 22796, 543, 23445, 888, 5278, 1453, 609, 19548, 25097, 344, 616, 8572, 547, 946, 22796, 543, 23445, 693, 782, 1813, 547, 741, 4887, 1599, 267, 17945, 543, 2039, 540, 5163, 269, 769, 713, 3236, 267, 13261, 2029, 568, 519, 1259, 547, 979, 269, 0, 763, 8241, 6554, 568, 25380, 476, 736, 2890, 28186, 23250, 2090, 896, 18471, 5565, 540, 519, 13636, 543, 22647, 18877, 4039, 6636, 8750, 563, 4322, 3785, 616, 4092, 538, 1169, 1533, 267, 8720, 6552, 7087, 543, 6917, 8105, 2950, 563, 763, 2090, 786, 8495, 2436, 513, 2890, 28186, 267, 610, 22010, 540, 4540, 1055, 3766, 5090, 4066, 267, 1131, 1732, 2743, 2146, 2115, 563, 19859, 23950, 1749, 2569, 16126, 593, 17088, 5108, 267, 20993, 6940, 543, 8744, 1524, 1648, 3790, 563, 763, 12968, 4911, 639, 13177, 12463, 267, 10579, 585, 6052, 543, 2506, 3827, 22159, 267, 1767, 519, 2229, 568, 8149, 547, 4180, 6552, 543, 6237, 2950, 616, 711, 27797, 676, 31877, 543, 7199, 1648, 563, 11854, 1136, 689, 3767, 571, 267, 29517, 267, 713, 6640, 519, 10579, 1767, 267, 2048, 763, 13636, 543, 22647, 18877, 4039, 6636, 8750, 568, 782, 827, 695, 1681, 909, 519, 3761, 540, 5150, 267, 6325, 543, 10097, 1648, 585, 6237, 26880, 543, 16779, 2950, 547, 1118, 519, 5079, 547, 1655, 9290, 741, 1648, 2115, 19028, 288, 7104, 540, 476, 1240, 10683, 6705, 538, 3767, 571, 4607, 7616, 538, 18471, 2290, 269, 634, 1895, 786, 3715, 513, 1804, 8397, 7791, 1648, 1979, 30757, 1379, 5108, 2030, 269, 634, 2030, 786, 15814, 5201, 1851, 519, 546, 1515, 625, 267, 609, 4430, 1379, 547, 581, 4421, 547, 10685, 5561, 269, 634, 1788, 786, 4196, 607, 513, 2203, 585, 1761, 10073, 538, 6683, 2066, 5245, 269, 0, 25889, 338, 540, 2550, 945, 4607, 22272, 541, 22000, 543, 2892, 4771, 22000, 1813, 547, 32584, 26983, 563, 8138, 4784, 281, 5239, 476, 2420, 526, 267, 476, 1001, 271, 15618, 281, 4864, 476, 2537, 6113, 267, 476, 1001, 272, 454, 5804, 519, 3798, 1243, 11730, 454, 10955, 1243, 676, 589, 974, 325, 11023, 342, 880, 454, 1103, 519, 2361, 540, 14934, 928, 19223, 267, 26983, 2126, 538, 1880, 267, 22272, 541, 22000, 5170, 547, 581, 519, 4154, 3044, 585, 519, 6268, 540, 7344, 2188, 7133, 519, 2887, 26508, 13740, 269, 1717, 267, 621, 3112, 581, 1031, 547, 2047, 7747, 519, 6418, 13570, 540, 519, 2887, 26508, 8546, 269, 634, 2887, 26508, 8546, 568, 811, 982, 513, 12809, 31026, 527, 585, 13708, 26347, 543, 2038, 24201, 282, 621, 849, 4249, 606, 1271, 1909, 538, 1082, 10285, 3252, 971, 607, 14203, 3560, 543, 3692, 2787, 267, 522, 22889, 23023, 543, 3560, 267, 22289, 267, 543, 21872, 4859, 269, 1717, 267, 972, 616, 1100, 5359, 602, 9305, 6379, 4093, 547, 2175, 3330, 519, 2887, 26508, 8546, 269, 898, 568, 267, 4061, 267, 1360, 1271, 547, 6218, 519, 2175, 1312, 3330, 543, 3544, 540, 519, 2887, 26508, 8546, 563, 763, 2887, 26508, 8546, 568, 3362, 8697, 676, 606, 26799, 21420, 3968, 267, 610, 676, 513, 29897, 3968, 971, 607, 932, 31779, 807, 269, 1452, 2010, 540, 3441, 1267, 538, 15176, 2887, 26508, 8546, 1599, 267, 543, 13604, 2014, 7344, 2188, 602, 3565, 547, 4775, 1016, 325, 19910, 630, 300, 565, 1696, 620, 1421, 476, 1960, 278, 1040, 5754, 3122, 657, 531, 4771, 2762, 630, 9391, 294, 264, 568, 519, 1034, 1455, 1449, 1031, 547, 6218, 519, 2887, 26508, 8546, 267, 1813, 547, 922, 3106, 543, 1970, 1942, 269, 14466, 320, 1470, 2335, 537, 1696, 620, 269, 7150, 602, 15101, 294, 568, 513, 6325, 1449, 585, 519, 5868, 540, 9938, 2711, 543, 30218, 25518, 267, 3289, 4592, 531, 335, 1460, 543, 829, 527, 889, 531, 14398, 687, 630, 303, 23981, 1470, 2335, 537, 1696, 620, 1421, 476, 1220, 278, 1040, 589, 2487, 1867, 8612, 602, 22272, 541, 22000, 729, 16601, 1310, 9402, 15101, 294, 2164, 538, 519, 960, 5346, 1991, 547, 519, 1376, 540, 519, 26983, 2126, 630, 307, 3570, 1002, 4141, 267, 476, 1220, 279, 1070, 855, 621, 3112, 581, 1031, 547, 2047, 7747, 519, 6418, 13570, 540, 519, 2887, 26508, 8546, 563, 21946, 4771, 22000, 729, 8385, 5340, 1282, 22272, 541, 30315, 585, 10411, 10614, 8685, 531, 6391, 547, 2708, 519, 11940, 6242, 540, 519, 1102, 1495, 756, 592, 1756, 543, 18041, 1638, 320, 269, 589, 8465, 19357, 24005, 729, 7620, 1031, 547, 2087, 519, 2592, 5833, 1354, 519, 4367, 540, 513, 6131, 267, 14461, 2892, 4771, 24005, 630, 303, 23981, 1470, 2335, 537, 1696, 620, 1421, 476, 1220, 278, 1040, 11569, 267, 1082, 19353, 5340, 2892, 4771, 22000, 811, 982, 513, 8717, 3516, 267, 543, 4080, 9402, 2164, 3330, 519, 2887, 26508, 13740, 630, 303, 18636, 655, 753, 1696, 620, 1421, 476, 2735, 278, 282, 1261, 2643, 523, 1696, 620, 1421, 476, 1960, 276, 282, 5080, 787, 1299, 5080, 787, 267, 476, 1960, 277, 282, 3057, 3570, 1696, 620, 1421, 476, 1960, 280, 282, 476, 1220, 274, 282, 4728, 3626, 1696, 620, 1421, 476, 1220, 272, 1040, 1358, 5631, 5059, 593, 1102, 1068, 850, 2550, 609, 3289, 4592, 531, 4771, 525, 269, 1358, 5340, 2892, 4771, 22000, 1282, 513, 22272, 541, 25646, 5650, 547, 7816, 3289, 4592, 531, 4771, 525, 543, 5305, 2550, 685, 13740, 689, 873, 269, 2290, 1867, 4330, 3339, 543, 9402, 11940, 657, 531, 26642, 3330, 2887, 26508, 13740, 602, 941, 8697, 676, 3289, 4592, 531, 4771 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 287, 321, 3096, 7317, 2923, 2200, 2966, 547, 4497, 2875, 538, 1565, 2296, 1369, 8076, 8658, 5861, 344, 828, 18350, 729, 2966, 547, 1835, 2483, 294, 746, 267, 589, 269, 667, 5919, 590, 928, 3187, 267, 595, 5919, 10787, 1067, 267, 661, 5919, 661, 9581, 517, 267, 808, 563, 17471, 7010, 3163, 630, 294, 7704, 1070, 513, 1164, 1153, 7471, 15834, 2257, 1788, 1759, 693, 18039, 8065, 540, 3163, 693, 17459, 20588, 267, 3459, 538, 519, 2038, 476, 1960, 271, 338, 607, 513, 2582, 1433, 834, 23945, 564, 693, 11485, 257, 799, 729, 1152, 827, 2916, 1689, 269, 8549, 14828, 13087, 519, 1788, 547, 21821, 827, 476, 5611, 3610, 547, 2361, 1449, 2326, 538, 741, 5049, 543, 1287, 5870, 538, 4832, 32112, 547, 2671, 2164, 543, 1198, 2242, 269, 634, 1267, 729, 513, 3126, 540, 4130, 13838, 7231, 711, 1152, 609, 2916, 1689, 267, 855, 824, 1644, 3584, 1519, 1648, 2095, 267, 1648, 946, 267, 17645, 267, 2530, 540, 9265, 267, 543, 5117, 1689, 269, 4033, 4143, 6848, 2152, 723, 849, 1044, 11368, 1519, 9297, 267, 6530, 543, 15257, 269, 634, 1576, 814, 1082, 13753, 270, 716, 8481, 585, 2875, 547, 11654, 267, 11042, 609, 3744, 2324, 538, 1808, 2127, 540, 1382, 267, 543, 3140, 8658, 269, 634, 25872, 540, 513, 16221, 540, 1507, 543, 1804, 1949, 2968, 606, 936, 31186, 6249, 540, 519, 4611, 1576, 2326, 799, 616, 1631, 2139, 547, 3610, 585, 1863, 2228, 693, 5291, 2517, 4178, 3052, 331, 984, 1023, 2448, 1087, 7220, 3820, 13045, 294, 14660, 321, 6686, 345, 744, 322, 752, 282, 17487, 364, 329, 331, 531, 744, 322, 752, 282, 2506, 710, 589, 269, 645, 904, 531, 454, 763, 3483, 540, 713, 1353, 568, 547, 1265, 856, 519, 3123, 540, 1164, 1153, 1053, 685, 15534, 2465, 1143, 269, 11752, 1505, 729, 1031, 269, 634, 2551, 729, 16922, 540, 476, 276, 4029, 1053, 538, 519, 1857, 1164, 3506, 269, 634, 1239, 729, 6394, 609, 834, 763, 17361, 540, 12559, 550, 2465, 1143, 15486, 257, 2919, 676, 519, 3173, 269, 595, 1258, 22138, 24488, 729, 7229, 607, 14668, 284, 271, 269, 280, 3607, 269, 28454, 1397, 519, 3123, 540, 1053, 262, 15534, 2465, 1143, 5749, 1405, 1644, 547, 1153, 267, 1053, 2933, 543, 741, 2385, 267, 2705, 267, 2875, 15534, 2465, 1143, 3123, 14356, 5626, 556, 553, 334, 2483, 303, 569, 332, 17980, 267, 623, 5919, 9466, 267, 808, 5919, 21862, 839, 267, 918, 563, 18662, 338, 538, 519, 2136, 2276, 6108, 1269, 278, 269, 279, 5479, 593, 1648, 1142, 1032, 2173, 648, 982, 519, 1942, 540, 5904, 543, 9499, 5916, 267, 2687, 547, 513, 476, 1220, 274, 1867, 689, 519, 2817, 4741, 585, 4065, 10803, 269, 634, 772, 2529, 269, 4972, 540, 6052, 630, 23077, 292, 264, 9193, 602, 891, 1164, 10626, 12014, 1223, 581, 4389, 607, 1454, 607, 476, 1839, 260, 952, 3506, 9772, 11593, 2139, 1164, 2773, 1374, 3741, 543, 4066, 269, 22353, 267, 7366, 540, 918, 268, 1321, 3506, 2066, 519, 2197, 723, 1500, 513, 7029, 547, 2087, 519, 1565, 543, 3450, 1604, 540, 3506, 1247, 9494, 2724, 543, 1648, 543, 7863, 519, 1604, 269, 11298, 292, 543, 922, 1857, 268, 543, 4357, 5498, 2758, 4891, 723, 2919, 6052, 5071, 13832, 585, 4400, 13437, 12140, 267, 16419, 585, 8370, 2916, 10851, 538, 772, 2529, 269, 2829, 543, 11182, 269, 1452, 1374, 4808, 1683, 1344, 585, 1153, 3375, 15670, 543, 1374, 4648, 593, 519, 5383, 540, 1648, 4398, 543, 7791, 1648, 6272, 543, 4066, 269, 2060, 971, 2934, 607, 2067, 1554, 8654, 267, 3608, 3167, 8279, 267, 1216, 5726, 267, 543, 7791, 1648, 267, 3506, 538, 782, 2010, 540, 16374, 616, 18445, 602, 1153, 5656, 267, 543, 519, 1053, 543, 3610, 945, 19582, 873, 267, 616, 8197, 1164, 22407, 269, 901, 1957, 6257, 1164, 2773, 3506, 689, 1142, 540, 519, 8370, 2916, 10851, 2404, 609, 519, 6052, 5071, 13832, 269, 634, 8370, 2013, 2090, 1445, 593, 519, 1164, 2773, 1374, 2994, 8045, 538, 1142, 1153, 267, 607, 1134, 607, 519, 1942, 9806, 543, 2640, 7691, 676, 1053, 267, 12200, 267, 519, 2146, 267, 543, 519, 1604, 563, 289, 31829, 267, 31550, 623, 282, 623, 1512, 4812, 267, 19846, 333, 589, 282, 26636, 523, 267, 31929, 717, 282, 1290, 18450, 267, 681, 667, 11921, 282, 918, 20482, 267, 2098, 778, 776, 962, 454, 7212, 3750, 7063, 13822, 513, 1507, 6871, 540, 1164, 1153, 543, 2852, 5026, 7063, 267, 789, 723, 519, 1761, 547, 581, 18385, 27676, 269, 16685, 5945, 3928, 786, 4268, 676, 7328, 267, 3023, 267, 543, 1063, 519, 1164, 1153, 543, 2852, 2085, 2516, 269, 29149, 27496, 1353, 269, 5426, 476, 274, 269, 4578, 689, 3750, 5945, 5359, 538, 1164, 1153, 543, 2852, 9845, 941, 5833, 689, 519, 2817, 4400, 3427, 11846, 7304, 601, 730, 28864, 24028, 11462, 3590, 267, 4400, 3427, 27561, 6176, 6732, 630, 9391, 681, 22473, 264, 6538, 936, 513, 476, 1015, 4458, 12732, 630, 1220, 276, 268, 1220, 277, 998, 476, 1001, 275, 268, 1001, 276, 1153, 1296, 264, 543, 519, 2817, 2051, 5586, 5573, 26465, 545, 5948, 630, 301, 7563, 288, 264, 28864, 24028, 11462, 5358, 630, 3041, 303, 264, 936, 606, 476, 1556, 4458, 12732, 630, 1220, 275, 268, 1220, 276, 998, 476, 1001, 275, 268, 1001, 276, 1153, 1296, 1040, 28864, 3928, 829, 476, 1911, 267, 1822, 19002, 7721, 1842, 999, 630, 288, 19324, 1070, 5945, 2557, 12753, 630, 305, 20745, 1070, 543, 476, 4817, 260, 595, 3674, 941, 7229, 269, 20518, 1903, 540, 3750, 7063, 676, 5868, 267, 7271, 267, 942, 2530, 267, 543, 6391, 2115, 941, 849, 8947, 269, 589, 2698, 540, 476, 26801, 543, 476, 24129, 3750, 7063, 941, 4080, 538, 519, 15101, 681, 22473, 543, 519, 715, 7563, 288, 4959, 303, 12240, 267, 6606, 269, 634, 5026, 609, 519, 5207, 3750, 5945, 3928, 630, 704, 476, 1911, 267, 1822, 589, 19324, 264, 585, 5916, 1164, 1153, 543, 2852, 9845, 941, 2021, 781, 14912, 630, 273, 269, 3607, 1070, 2021, 781, 2361, 19735, 630, 273, 269, 3374, 1070, 2367, 781, 14912, 630, 273, 269, 4029, 1070, 543, 2367, 781, 32702, 630, 273, 269, 5881, 1040, 15788, 3750, 5945, 3928, 693, 519, 1164, 1153, 543, 2852, 2157, 941, 476, 271, 269, 6924, 543, 476, 272, 269, 10019, 829, 476, 1911, 267, 1822, 589, 19324, 267, 6606, 269, 16685, 5945, 3928, 941, 2362, 538, 6735, 982, 2259, 538, 1164, 1153, 630, 305, 305, 267, 476, 274, 269, 5325, 282, 476, 4817, 260, 16275, 267, 476, 273, 269, 7597, 268, 275, 269, 4366, 264, 543, 2852, 630, 305, 305, 267, 476, 274, 269, 1724, 282, 476, 4817, 260, 16275, 267, 476, 273, 269, 3393, 268, 274, 269, 4200, 1040, 4107, 7063, 941, 733, 16272, 630, 14683, 1153, 267, 476, 3374, 269, 280, 260, 282, 2852, 267, 476, 3451, 269, 274, 8472, 543, 1813, 547, 3346, 630, 14683, 1153, 267, 476, 8660, 269, 280, 260, 282, 2852, 267, 476, 10436, 269, 275, 22103, 8307, 513, 1507, 6871, 540, 7063, 8507, 538, 942, 2530, 936, 476, 2641, 2395, 630, 14683, 1153, 267, 476, 275, 269, 273, 260, 282, 2852, 267, 476, 274, 269, 271, 22103, 16685, 5945, 3928, 543, 3270, 4268, 676, 7328, 267, 3023, 267, 543, 1063, 519, 1164, 1153, 543, 2852, 2085, 2516, 269, 4014, 4049, 7063, 798, 2049, 267, 1034, 3750, 7063, 13455, 676, 1164, 1153, 543, 2852, 9845, 616, 5634, 267, 609, 3908, 942, 2530, 543, 2407, 6051, 454, 17359, 7956, 12232, 645, 19272, 294, 4629, 26685, 281, 9046, 1738, 5769, 2422, 630, 18444, 308, 568, 513, 3395, 1966, 538, 4457, 10708, 269, 1703, 616, 1082, 1981, 2188, 585, 28697, 308, 267, 799, 616, 1336, 693, 1153, 543, 693, 1753, 269, 901, 1353, 729, 2966, 547, 8495, 519, 9860, 540, 28697, 308, 543, 547, 8495, 519, 1761, 1981, 2188, 585, 28697, 308, 1851, 1164, 1153, 1053, 538, 3624, 269, 631, 24518, 7495, 13256, 270, 11266, 2562, 5746, 303, 3201, 674, 18853, 5058, 306, 281, 589, 3444, 22891, 1353, 729, 5342, 269, 589, 2698, 540, 476, 1691, 267, 30640, 1164, 1153, 1053, 941, 23500, 538, 2185, 4872, 538, 2871, 836, 323, 784, 11662, 269, 9046, 1738, 5769, 2422, 729, 12290, 676, 519, 476, 736, 268, 14403, 8479, 5769, 24251, 4530, 630, 312, 296, 2969, 269, 6176, 729, 849, 6394, 593, 22097, 267, 1920, 543, 1153, 5829, 2188, 543, 5769, 6165, 3270, 269, 2986, 519, 476, 1691, 267, 30640, 1053, 267, 476, 1321, 267, 4510, 277, 941, 5769, 3755, 269, 2986, 1346, 267, 476, 1321, 269, 273, 260, 630, 272, 267, 276, 1428, 941, 4857, 607, 16609, 5769, 3755, 630, 18444, 5825, 269, 4937, 1242, 6404, 21524, 601, 9695, 7000, 602, 972, 729, 1100, 4008, 3017, 1063, 28697, 5825, 543, 1875, 6261, 296, 5825, 269, 4400, 1353, 5829, 2566, 267, 2348, 1514, 2828, 267, 4057, 1894, 609, 3610, 543, 1053, 543, 4655, 633, 1920, 3347, 941, 1981, 2188, 585, 28697, 308, 269, 4841, 945, 6170, 811, 942, 593, 11060, 941, 811, 2693, 547, 1020, 28697, 308, 269, 634, 6208, 540, 543, 5301, 585, 5769, 6165, 941, 3309, 267, 12018, 519, 18687, 547, 28697, 308, 269, 12164, 12710, 4785, 12778, 306, 13478, 22218, 9281, 2975, 23814, 281, 28697, 308, 568, 1455, 1851, 1164, 1153, 1053, 267, 543, 1981, 2188, 616, 1336, 693, 1753, 543, 693, 1153, 269, 11334, 543, 3237, 1058, 2628, 2673, 3007, 547, 891, 1981, 2188, 269, 13229, 3800, 616, 2877, 547, 2061, 519, 3262, 540, 713, 1966, 563, 293, 867, 267, 7812, 7917, 454, 1103, 5477, 13241, 25700, 1164, 3506, 630, 3041, 9391, 338, 264, 616, 513, 5266, 1007, 7613, 538, 519, 5251, 540, 1857, 2069, 269, 901, 1353, 540, 2185, 12013, 541, 4959, 9391, 338, 630, 30009, 676, 4966, 538, 13241, 2069, 607, 3810, 6707, 538, 8600, 1053, 26173, 538, 13241, 585, 13241, 32407, 538, 2852, 543, 2104, 13241, 11678, 264, 2488, 513, 3638, 6609, 540, 519, 1935, 547, 4959, 9391, 1153, 5718, 676, 7114, 1585, 4835, 543, 5007, 5718, 2188, 12018, 1153, 5718, 269, 901, 1353, 8947, 606, 4540, 1239, 1305, 602, 3769, 3135, 11564, 547, 2185, 4959, 9391, 338, 2059, 609, 840, 268, 543, 2022, 23724, 527, 1239, 267, 543, 513, 3444, 30924, 2079, 5059, 593, 519, 5718, 7418, 540, 4959, 9391, 3401, 543, 741, 3677, 2146, 269, 901, 1353, 1336, 602, 519, 4959, 9391, 338, 9450, 519, 1523, 540, 1153, 5718, 547, 1331, 5718, 1312, 1369, 543, 3544, 519, 1153, 269, 769, 1840, 267, 1153, 3401, 2877, 13190, 547, 3048, 622, 543, 4431, 547, 741, 3506, 262, 2115, 269, 901, 3769, 13190, 538, 17849, 1007, 3610, 267, 13190, 689, 1153, 8664, 3310, 267, 543, 13190, 689, 25516, 3610, 262, 9769, 7939, 543, 4507, 269, 7053, 267, 4959, 9391, 338, 2877, 547, 16111, 1902, 538, 2810, 741, 3506, 262, 19206, 269, 901, 3769, 10115, 538, 4116, 3318, 1436, 267, 3246, 11444, 585, 1153, 5718, 267, 23712, 609, 1870, 543, 2872, 267, 543, 7114, 519, 1655, 2875, 7028, 269, 589, 1587, 540, 713, 1353, 729, 513, 20790, 585, 1915, 1944, 1153, 5718, 538, 606, 4959, 9391, 269, 901, 20790, 949, 2709, 3407, 5813, 267, 6286, 267, 543, 1344, 585, 2829, 543, 3506, 13102, 602, 949, 581, 4058, 610, 5355, 13241, 2069, 3292, 269, 0, 2237, 513, 10084, 1982, 602, 3096, 513, 1079, 8820, 5044, 547, 4558, 519, 5207, 543, 9803, 5210, 585, 1142, 3923, 540, 519, 1032, 269, 634, 1982, 1058, 3977, 519, 3328, 1164, 267, 3328, 1970, 267, 543, 5207, 543, 9803, 5210, 540, 519, 1032, 269, 2659, 1982, 1590, 2874, 540, 519, 1739, 2409, 912, 320, 264, 6396, 1205, 10574, 281, 901, 1505, 14509, 543, 8637, 519, 1239, 538, 519, 1079, 8820, 5044, 563, 321, 264, 6396, 3328, 11947, 281, 901, 1505, 21410, 543, 7024, 519, 3328, 1164, 2837, 540, 519, 1032, 563, 322, 264, 6396, 3328, 20181, 281, 901, 1505, 21410, 543, 7024, 519, 3328, 1970, 2837, 540, 519, 1032, 563, 323, 264, 6396, 4994, 11947, 307, 11391, 281, 901, 1505, 7024, 519, 4994, 540, 519, 5207, 2837, 538, 519, 5044, 563, 324, 264, 6396, 4994, 20181, 307, 11391, 281, 901, 1505, 7024, 519, 4994, 540, 519, 9803, 2837, 538, 519, 5044, 563, 263, 9616, 281, 1452, 2409, 1590, 782, 723, 519, 3617, 6724, 994, 25748, 18542, 5999, 454, 268, 1323, 7317, 3542, 1336, 602, 476, 27183, 540, 476, 273, 267, 30116, 4079, 9907, 476, 1240, 610, 4587, 723, 693, 2547, 835, 31024, 269, 630, 320, 264, 5136, 1555, 513, 1448, 7447, 585, 519, 8167, 540, 4079, 945, 454, 268, 670, 5141, 1341, 8863, 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 ]
[ 2447, 334, 270, 2784, 19708, 1905, 625, 2059, 609, 27981, 2045, 5061, 1522, 6556, 5348, 1120, 2065, 2360, 267, 5355, 2949, 3461, 4093, 269, 1717, 267, 2016, 519, 12242, 18125, 540, 1313, 15047, 344, 538, 2860, 267, 6297, 7156, 1590, 581, 2016, 950, 22392, 713, 10347, 3666, 780, 6962, 912, 1103, 3932, 267, 21264, 532, 519, 27981, 2045, 3009, 5817, 1313, 15047, 344, 7939, 6585, 10373, 9153, 585, 14027, 938, 1702, 827, 670, 6717, 7350, 543, 1821, 2358, 5499, 9354, 4485, 269, 4329, 1382, 19286, 908, 891, 7636, 2621, 949, 17362, 519, 1259, 585, 10531, 4915, 3358, 547, 1367, 2550, 1759, 593, 741, 2189, 27981, 5669, 8916, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5591, 767, 29362, 883, 9210, 3394, 2045, 6513, 540, 4201, 15047, 344, 538, 9435, 454, 300, 12817, 8426, 10334, 12524, 267, 6715, 1537, 6176, 543, 3194, 10418, 268, 275, 630, 2862, 13612, 268, 275, 1070, 6715, 1537, 2160, 267, 918, 2720, 328, 10003, 267, 24664, 852, 267, 476, 26297, 271, 2918, 267, 3127, 454, 23430, 540, 645, 3930, 31190, 267, 20513, 540, 3163, 267, 6715, 1537, 2160, 267, 918, 2720, 328, 10003, 267, 24664, 852, 267, 476, 26297, 271, 2918, 267, 3127, 454, 23430, 540, 12713, 30261, 267, 20513, 540, 7177, 267, 6715, 1537, 2160, 267, 918, 2720, 328, 10003, 267, 24664, 852, 267, 476, 26297, 271, 2918, 267, 3127, 454, 10907, 27854, 15503, 281, 700, 684, 1177, 10620, 700, 26999, 9116, 454, 22492, 17136, 281, 9435, 21834, 543, 9210, 3394, 7497, 1325, 614, 725, 4083, 454, 3725, 18727, 281, 4873, 476, 2764, 267, 476, 1708, 273, 1923, 20504, 539, 281, 5239, 476, 1626, 267, 476, 1708, 273, 1923, 15618, 281, 5437, 476, 5400, 267, 476, 1708, 273, 454, 302, 13696, 21834, 476, 1708, 273, 267, 11730, 476, 277, 267, 17136, 476, 275, 267, 8222, 281, 1015, 269, 25546, 2918, 270, 984, 332, 269, 2102, 564, 269, 13136, 275, 1704, 271, 454, 27775, 2105, 11239, 281, 3474, 557, 523, 590, 267, 681, 714, 12858, 24700, 267, 13201, 534, 589, 267, 2279, 26698, 772, 267, 19257, 9399, 269, 23397, 29362, 883, 9210, 3394, 2045, 6513, 540, 4201, 15047, 344, 538, 9435, 269, 744, 13696, 21834, 476, 1708, 273, 282, 476, 277, 263, 275, 2567, 476, 10204, 282, 8222, 281, 1015, 269, 25546, 2918, 270, 984, 332, 269, 2102, 564, 269, 13136, 275, 1704, 271, 563, 15100, 476, 1708, 273, 676, 519, 4589, 269, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 2175, 540, 519, 11300, 12780, 676, 21922, 17821, 267, 627, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 22031, 26331, 1315, 22031, 6737, 14978, 595, 32555, 5448, 630, 295, 6717, 1040, 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, 594, 4312, 2141, 1044, 19832, 676, 5752, 543, 1966, 9010, 1107, 621, 3323, 950, 594, 729, 1175, 513, 4819, 267, 7836, 3108, 17511, 3515, 540, 3009, 883, 1250, 1920, 779, 4439, 5652, 2780, 267, 3843, 547, 1205, 2241, 3756, 547, 2196, 269, 16258, 4464, 513, 7008, 5756, 543, 1934, 594, 993, 267, 606, 4810, 3301, 11653, 2324, 593, 3078, 3785, 585, 513, 10509, 2754, 269, 2290, 1554, 267, 1247, 3181, 19982, 930, 3226, 16602, 3009, 693, 960, 267, 594, 16686, 2390, 513, 1016, 1042, 9016, 6131, 547, 8193, 2591, 269, 898, 8604, 4277, 2614, 267, 865, 594, 4956, 547, 2285, 621, 513, 8929, 1282, 1250, 12899, 2736, 780, 296, 3357, 2066, 835, 4161, 6998, 803, 547, 4894, 782, 5624, 689, 513, 2016, 4845, 1210, 5124, 630, 5408, 3268, 1657, 1040, 3143, 17570, 267, 594, 2219, 267, 18390, 26378, 856, 1018, 7902, 547, 581, 513, 9985, 6198, 3070, 269, 1677, 1449, 621, 267, 594, 8359, 513, 4351, 4845, 281, 968, 14367, 1272, 19380, 922, 2495, 1848, 14168, 890, 6470, 2439, 3719, 1287, 1945, 9490, 5949, 269, 1879, 594, 10443, 1250, 1982, 267, 3079, 540, 3478, 519, 4397, 3977, 267, 594, 3893, 606, 5470, 5048, 6031, 1412, 4289, 4994, 856, 540, 2039, 9538, 674, 745, 1598, 730, 267, 594, 5595, 19295, 22486, 1169, 1899, 540, 1250, 3009, 855, 7948, 1405, 1265, 4376, 4636, 269, 1924, 267, 594, 1705, 1018, 1022, 1582, 9113, 1051, 532, 17354, 1131, 798, 910, 594, 5828, 547, 5616, 780, 5475, 1896, 4829, 1652, 19707, 543, 1085, 28666, 29571, 3683, 6503, 16060, 267, 594, 6368, 1336, 513, 2582, 6085, 12617, 2620, 1369, 1776, 21372, 5816, 2022, 269, 2561, 30068, 267, 972, 941, 6456, 3197, 30443, 6362, 538, 1978, 12673, 799, 1223, 2014, 971, 6959, 269, 3733, 2295, 17040, 267, 594, 4682, 1394, 547, 1250, 3312, 4845, 543, 3138, 543, 1531, 1245, 267, 1346, 26240, 5652, 2370, 1814, 1562, 1185, 8197, 22983, 1250, 9583, 17608, 1257, 256, 20331, 609, 713, 1702, 267, 594, 17408, 8898, 1250, 3009, 5594, 543, 21350, 10042, 256, 4934, 1402, 6244, 519, 21792, 1267, 281, 834, 14367, 331, 604, 601, 4680, 1080, 26074, 6231, 8269, 22162, 593, 713, 1995, 1500, 803, 8275, 875, 1271, 621, 568, 547, 2611, 8049, 543, 10770, 1256, 950, 6849, 18447, 9465, 269, 1703, 616, 9118, 2200, 2139, 2228, 267, 4904, 609, 4030, 7996, 547, 581, 4362, 676, 1346, 945, 546, 732, 547, 2007, 4514, 269, 1656, 3006, 267, 948, 666, 2097, 689, 519, 1034, 12691, 2959, 269, 4595, 1287, 267, 8164, 594, 7237, 4155, 4565, 4169, 538, 1250, 960, 267, 594, 7618, 8885, 540, 713, 3992, 4121, 689, 9427, 5624, 689, 513, 9583, 8723, 4845, 269, 8414, 8193, 8284, 4414, 323, 6002, 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, 2108, 7230, 913, 519, 5624, 689, 519, 1739, 4845, 281, 3571, 1272, 19380, 922, 2495, 563, 3721, 476, 272, 281, 10576, 519, 2016, 4845, 454, 19152, 281, 834, 14367, 1272, 19380, 922, 2495, 3010, 3721, 476, 273, 281, 14419, 519, 3077, 5106, 454, 23330, 566, 281, 17179, 5624, 689, 519, 4845, 692, 3721, 476, 274, 281, 8073, 513, 1007, 8900, 5569, 454, 6124, 5569, 281, 834, 5016, 3721, 476, 275, 281, 594, 614, 622, 998, 1142, 1915, 538, 519, 3403, 4845, 454, 2690, 1142, 1915, 538, 519, 3403, 912, 476, 513, 269, 6744, 952, 519, 1915, 568, 513, 2230, 454, 476, 536, 269, 1403, 519, 1915, 568, 711, 513, 2230, 267, 1039, 519, 1915, 547, 519, 1007, 5569, 454, 476, 524, 269, 1403, 519, 1915, 568, 513, 2230, 267, 18178, 519, 1915, 543, 1847, 547, 519, 1985, 1915, 692, 3721, 476, 276, 281, 2991, 18138, 519, 21767, 267, 519, 1007, 5569, 786, 2270, 519, 4845, 1510, 5624, 454, 20479, 281, 834, 14367, 331, 604, 601, 4680, 1080, 26074, 5016, 763, 4845, 609, 5624, 6569, 281, 3571, 331, 604, 601, 4680, 1080, 26074, 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, 769, 519, 3735, 476, 2735, 271, 338, 543, 2038, 476, 1960, 271, 338, 267, 519, 2136, 2276, 5185, 513, 1857, 1072, 6433, 607, 519, 7486, 25266, 15435, 30635, 3042, 2950, 2066, 519, 2197, 269, 634, 2229, 781, 3500, 3210, 543, 3668, 540, 7616, 585, 1382, 543, 2126, 3366, 547, 7839, 17140, 543, 10845, 1851, 1346, 4299, 269, 901, 17140, 19411, 730, 538, 519, 5250, 540, 519, 15978, 29663, 547, 1133, 548, 1662, 5295, 630, 16898, 24505, 1070, 606, 19191, 1895, 6131, 547, 8165, 585, 519, 2924, 540, 1004, 2713, 609, 7486, 25266, 780, 763, 1686, 540, 20554, 24505, 568, 7184, 23091, 609, 519, 2833, 540, 11806, 266, 2043, 267, 945, 941, 25409, 12936, 676, 519, 15435, 269, 2311, 519, 942, 267, 32270, 729, 1869, 588, 25634, 1242, 543, 1082, 2818, 540, 519, 11806, 266, 2146, 5433, 14460, 676, 1312, 519, 2229, 543, 2486, 693, 1804, 269, 20554, 24505, 3177, 513, 2230, 585, 891, 2043, 547, 2097, 1927, 543, 3747, 2962, 780, 3080, 540, 519, 1883, 12485, 1031, 676, 20554, 24505, 729, 3540, 27136, 17171, 269, 16840, 1131, 3942, 17600, 543, 5884, 15564, 693, 2229, 5656, 543, 14453, 3549, 267, 5373, 3007, 547, 519, 14849, 991, 585, 1382, 543, 2126, 269, 1452, 3527, 941, 1419, 1558, 609, 4187, 689, 8128, 267, 855, 789, 5280, 547, 6318, 4656, 827, 519, 3390, 543, 2604, 519, 2229, 547, 1491, 2962, 780, 5194, 1271, 2460, 540, 20554, 24505, 781, 17933, 729, 922, 946, 540, 3308, 2528, 269, 634, 3919, 2813, 3532, 19297, 267, 16181, 267, 543, 824, 2326, 602, 24829, 519, 23473, 540, 519, 3510, 543, 18796, 1689, 269, 1452, 12449, 2968, 11599, 6698, 540, 519, 3350, 543, 3136, 547, 581, 1031, 2221, 538, 1121, 27320, 540, 1346, 4503, 547, 519, 2068, 780, 1103, 1840, 547, 922, 14223, 585, 2564, 1382, 543, 2126, 267, 20554, 24505, 849, 10692, 1996, 7130, 543, 16663, 2509, 1004, 2713, 609, 7486, 25266, 269, 634, 3919, 5249, 547, 13599, 519, 1857, 827, 519, 2068, 543, 4161, 5739, 11475, 269, 901, 3769, 4101, 519, 2856, 602, 7486, 25266, 729, 9003, 513, 834, 326, 599, 2068, 257, 543, 10223, 519, 1249, 602, 4896, 1223, 581, 7783, 780, 9213, 267, 519, 9371, 540, 20554, 24505, 5170, 547, 8300, 15628, 543, 3906, 2324, 2509, 1514, 5126, 269, 634, 4245, 4121, 689, 519, 7486, 25266, 15435, 666, 1217, 938, 1935, 547, 4207, 1857, 1072, 16839, 267, 971, 607, 519, 5046, 268, 866, 6855, 269, 1635, 1298, 1359, 12790, 9739, 543, 1210, 3860, 12485, 267, 5322, 666, 3927, 12167, 585, 1689, 543, 3180, 1379, 18177, 780, 11101, 267, 519, 28622, 540, 20554, 24505, 781, 17933, 5713, 607, 513, 12576, 540, 519, 2956, 540, 6236, 2789, 1727, 11306, 950, 5466, 1022, 1514, 3390, 269, 3807, 899, 875, 20554, 24505, 6444, 519, 4276, 1063, 4630, 22785, 543, 2111, 1143, 538, 519, 4339, 1996, 7486, 25266, 267, 2413, 1554, 15628, 1058, 5431, 543, 2232, 519, 2081, 538, 799, 1114, 3029, 540, 15746, 12969, 543, 1860, 1585, 2950, 780, 1103, 3932, 267, 519, 1686, 540, 20554, 24505, 543, 922, 1909, 538, 519, 4339, 1996, 7486, 25266, 8711, 519, 1379, 540, 29065, 12180, 267, 1463, 2962, 267, 543, 5876, 538, 1198, 532, 6848, 1689, 269, 4706, 1445, 593, 11806, 266, 2924, 543, 6041, 2488, 3407, 4030, 883, 519, 5571, 6560, 585, 7862, 543, 10343, 269, 3414, 4974, 519, 2250, 267, 649, 666, 1451, 875, 547, 1628, 811, 8537, 543, 2500, 5322, 585, 519, 2104, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 993, 10002, 22326, 1250, 5399, 269, 11109, 19622, 689, 1250, 6280, 3450, 2990, 1310, 476, 736, 1296, 538, 519, 14151, 9390, 267, 594, 4421, 610, 5795, 2476, 1454, 540, 1250, 28378, 543, 8120, 2407, 5503, 547, 1250, 2025, 1753, 540, 1715, 3840, 269, 1809, 594, 6854, 1250, 5399, 267, 1034, 540, 799, 4682, 883, 10833, 7047, 539, 2476, 676, 519, 544, 1478, 269, 3767, 519, 4611, 19467, 540, 10070, 4229, 803, 547, 3068, 1018, 814, 1044, 513, 2468, 334, 540, 10169, 513, 548, 2218, 19698, 267, 513, 968, 2897, 621, 1141, 596, 2322, 621, 892, 1788, 602, 1590, 1631, 581, 10288, 269, 8422, 26093, 795, 3518, 956, 282, 5449, 960, 10774, 727, 13646, 9192, 609, 4832, 270, 4958, 790, 618, 1753, 267, 799, 1590, 1631, 4196, 607, 835, 269, 21231, 267, 594, 6720, 553, 1242, 891, 10833, 9991, 1055, 519, 14903, 1247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12850, 535, 870, 1622, 267, 899, 6189, 543, 15824, 540, 11247, 267, 3459, 607, 5758, 9669, 1369, 513, 9858, 2247, 269, 1452, 11150, 585, 6704, 1216, 535, 870, 1622, 22132, 689, 519, 2212, 1310, 799, 596, 666, 15475, 3308, 3337, 267, 1419, 3330, 540, 513, 12484, 1302, 796, 1211, 16666, 3099, 269, 4595, 519, 9998, 2395, 540, 32446, 2511, 543, 1374, 267, 5159, 543, 16413, 723, 1599, 539, 2016, 602, 519, 9858, 540, 1034, 1216, 535, 870, 1622, 269, 1358, 543, 519, 9380, 832, 789, 2308, 7363, 946, 23019, 11516, 4221, 607, 513, 1505, 585, 3695, 543, 6721, 1374, 543, 2511, 16548, 269, 6736, 519, 23929, 543, 6639, 917, 24376, 267, 971, 607, 519, 13345, 540, 9608, 2780, 29211, 2511, 267, 1295, 23186, 9858, 1832, 593, 547, 2491, 741, 22731, 9669, 676, 5373, 543, 11516, 4221, 267, 9001, 519, 5420, 547, 14969, 593, 16610, 689, 741, 547, 1376, 609, 3689, 4640, 547, 741, 14656, 20185, 607, 6704, 1216, 3252, 269, 1452, 25780, 543, 12400, 616, 9286, 607, 519, 15889, 15244, 540, 8409, 1004, 3355, 12754, 995, 2093, 269, 769, 519, 11247, 1604, 267, 12400, 723, 6905, 1044, 4857, 543, 15874, 607, 513, 2757, 589, 851, 540, 6427, 633, 4082, 269, 901, 568, 1419, 849, 9758, 540, 11265, 11768, 269, 1703, 2291, 1896, 17005, 12400, 585, 930, 540, 519, 1158, 781, 1034, 1340, 539, 543, 1898, 535, 870, 1622, 267, 7677, 5109, 2565, 4030, 547, 519, 32446, 2511, 543, 1374, 1576, 540, 2962, 269, 1280, 14745, 267, 689, 519, 12400, 1379, 532, 7507, 781, 7066, 12858, 32446, 267, 6192, 538, 476, 12293, 273, 267, 649, 2263, 6266, 540, 519, 10848, 3238, 538, 15980, 891, 535, 870, 1622, 269, 898, 568, 2965, 4686, 267, 20866, 267, 585, 1169, 835, 540, 519, 1957, 1740, 540, 513, 535, 870, 1622, 1374, 543, 2511, 1935, 547, 1205, 12873, 865, 835, 666, 1832, 3950, 540, 519, 1505, 2962, 8386, 22533, 689, 1376, 547, 3803, 32446, 269, 4495, 538, 513, 1247, 267, 1247, 538, 519, 19952, 2157, 540, 3384, 513, 32446, 267, 606, 4056, 1522, 849, 6430, 547, 946, 1585, 21021, 6163, 610, 4336, 11269, 547, 3635, 513, 535, 870, 1622, 3169, 3877, 610, 2949, 17114, 543, 7293, 4205, 563, 4263, 2053, 267, 32446, 2497, 12400, 22035, 880, 741, 13588, 609, 1483, 16134, 269, 1323, 4998, 14745, 540, 901, 568, 2965, 519, 2653, 13711, 25879, 14592, 543, 27864, 12672, 7236, 2322, 547, 1957, 1256, 1498, 19424, 532, 519, 570, 761, 517, 32446, 609, 519, 623, 807, 3960, 320, 4446, 828, 7236, 538, 7507, 269, 634, 17005, 1957, 1740, 689, 476, 13932, 274, 267, 16119, 18177, 547, 12672, 7236, 781, 1360, 1378, 1688, 267, 568, 513, 1713, 23319, 547, 13031, 519, 3355, 15752, 585, 513, 32446, 799, 729, 547, 22499, 7969, 32446, 2511, 269, 901, 5373, 267, 2059, 609, 519, 25739, 32446, 267, 19752, 513, 25761, 8792, 543, 606, 1898, 14745, 540, 32446, 2511, 269, 634, 9380, 1116, 5686, 540, 519, 570, 761, 517, 32446, 267, 2303, 513, 1934, 5391, 518, 908, 1813, 547, 519, 1249, 634, 8216, 267, 513, 2603, 540, 547, 2327, 602, 538, 1747, 540, 519, 24112, 9363, 11979, 543, 4396, 267, 789, 2408, 547, 2170, 1404, 2685, 4635, 519, 1216, 799, 27788, 873, 269, 634, 570, 761, 517, 32446, 729, 2919, 585, 15352, 12124, 24163, 267, 543, 729, 513, 23314, 540, 519, 1826, 540, 535, 870, 1622, 602, 519, 4625, 2981, 513, 1544, 4936, 4009, 883, 606, 1714, 13228, 550, 1350, 528, 2305, 540, 519, 4222, 540, 2696, 543, 519, 8672, 856, 269, 570, 761, 976, 538, 1082, 2665, 616, 1360, 1455, 25798, 4162, 540, 535, 870, 1622, 282, 2705, 267, 713, 570, 761, 517, 32446, 602, 649, 1865, 2630, 1102, 4926, 513, 20310, 4137, 538, 519, 29631, 13442, 267, 945, 781, 2040, 3000, 539, 676, 3026, 31337, 547, 1711, 519, 15798, 17850, 6031, 1522, 1176, 1305, 1256, 519, 1034, 11397, 24360, 6329, 1131, 646, 539, 519, 4971, 547, 2847, 633, 9602, 269, 623, 2075, 1117, 29691, 513, 1880, 1085, 718, 641, 7387, 543, 4371, 620, 21510, 998, 519, 1166, 6235, 8941, 540, 2185, 667, 20462, 1231, 267, 519, 9054, 9934, 570, 761, 517, 9514, 338, 1010, 3196, 995, 3100, 1318, 16057, 267, 1141, 6704, 1216, 3308, 3278, 897, 1601, 531, 3100, 269, 769, 922, 2324, 1554, 267, 519, 570, 761, 517, 32446, 729, 519, 1655, 15246, 519, 32446, 538, 7507, 269, 1306, 782, 519, 19466, 535, 870, 1622, 538, 519, 2324, 1554, 538, 7507, 267, 519, 3761, 540, 519, 554, 273, 334, 729, 519, 21733, 320, 21634, 823, 269, 0, 22261, 476, 866, 267, 476, 1220, 280, 1547, 476, 272, 3778, 269, 476, 272, 269, 272, 7216, 9197, 5241, 10613, 282, 476, 272, 269, 273, 634, 3689, 9197, 5241, 26682, 1547, 18379, 18724, 2284, 29965, 3812, 519, 1101, 3811, 10265, 8302, 538, 476, 6977, 279, 27260, 14532, 540, 519, 645, 19977, 9579, 541, 543, 13738, 12751, 631, 1149, 267, 4425, 1047, 6019, 267, 27924, 269, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 272, 10371, 10759, 29965, 1826, 8302, 799, 6971, 621, 547, 1780, 513, 476, 273, 20878, 8258, 563, 19878, 476, 272, 267, 476, 1001, 276, 1547, 2311, 1142, 540, 891, 13515, 23413, 5795, 513, 1686, 540, 519, 9553, 543, 12943, 3267, 634, 1101, 851, 540, 519, 1739, 4484, 547, 589, 2529, 269, 630, 1805, 792, 2284, 264, 29965, 689, 12049, 8738, 337, 568, 3267, 634, 6007, 267, 10265, 8302, 543, 29650, 941, 851, 540, 513, 476, 1015, 16826, 1984, 693, 519, 563, 13356, 476, 280, 267, 476, 1001, 275, 1547, 5903, 532, 540, 1271, 7389, 538, 21086, 19814, 1686, 267, 2094, 519, 476, 1704, 628, 1547, 1715, 670, 13273, 781, 18379, 18724, 2284, 29965, 1045, 757, 519, 6149, 8302, 267, 22338, 519, 563, 4002, 4873, 476, 1428, 267, 476, 6977, 279, 267, 18379, 18724, 2284, 29965, 540, 1715, 670, 13273, 729, 11292, 2475, 14664, 3143, 269, 476, 13078, 5655, 585, 513, 968, 332, 22389, 585, 11493, 6149, 1848, 634, 683, 15343, 342, 540, 10412, 3766, 514, 23266, 18379, 563, 21801, 476, 1724, 267, 476, 1001, 275, 1547, 769, 519, 29965, 8302, 519, 10265, 568, 9187, 6838, 693, 519, 1283, 543, 1025, 820, 1826, 10265, 8302, 910, 476, 2537, 7325, 476, 1001, 273, 3778, 540, 26836, 19783, 4892, 661, 310, 29965, 630, 14937, 1916, 14532, 281, 10374, 569, 1310, 519, 6406, 2782, 267, 5261, 595, 1173, 650, 267, 513, 13677, 19366, 4262, 10371, 693, 519, 12600, 3703, 21524, 601, 539, 29965, 3427, 630, 3602, 519, 28579, 540, 4937, 24759, 10371, 1948, 272, 772, 2529, 269, 29704, 8302, 630, 24992, 476, 1789, 543, 476, 3374, 260, 540, 2344, 5148, 1948, 272, 772, 2529, 269, 6632, 8970, 563, 307, 1258, 320, 3778, 3267, 29965, 8302, 267, 16760, 547, 670, 2987, 269, 2450, 547, 476, 1626, 2987, 269, 12966, 23740, 936, 667, 902, 6419, 5102, 2917, 547, 1547, 29965, 8302, 267, 476, 1839, 268, 2023, 5386, 7626, 10822, 267, 547, 513, 476, 274, 10264, 269, 676, 476, 275, 10264, 563, 1103, 11079, 8666, 26847, 543, 513, 1686, 540, 519, 3148, 269, 1547, 2599, 267, 1079, 3627, 7723, 642, 22395, 267, 513, 3349, 267, 513, 29965, 8302, 543, 824, 14233, 538, 23622, 1984, 563, 892, 7922, 820, 543, 31167, 3455, 7577, 781, 2372, 14019, 630, 845, 28861, 519, 18718, 1633, 623, 3058, 7577, 781, 2372, 14019, 5148, 674, 269, 654, 269, 1547, 14033, 741, 11493, 2030, 593, 700, 25423, 12426, 282, 8118, 827, 476, 6245, 280, 563, 288, 19826, 728, 2030, 729, 8704, 267, 2011, 24200, 543, 513, 29965, 8302, 543, 20061, 941, 1031, 585, 11493, 519, 7626, 269, 769, 519, 476, 6245, 271, 781, 513, 476, 1220, 21696, 12741, 32394, 10451, 563, 21801, 476, 275, 267, 476, 1001, 272, 1547, 1547, 4712, 585, 519, 8302, 693, 513, 15118, 5652, 731, 267, 610, 3006, 1256, 14460, 538, 27201, 610, 1627, 20345, 269, 1547, 16816, 2006, 781, 7015, 28199, 4421, 519, 1870, 547, 15537, 29965, 538, 476, 2735, 273, 269, 1547, 1280, 513, 811, 2347, 1413, 693, 519, 1686, 540, 519, 589, 2779, 328, 267, 1312, 693, 563, 763, 2856, 540, 25786, 585, 606, 5711, 1686, 827, 519, 2349, 1389, 7018, 547, 803, 538, 476, 2735, 276, 10371, 2009, 1079, 5481, 4505, 676, 23266, 3766, 8681, 15289, 18379, 781, 4224, 8302, 563, 7922, 820, 8745, 12791, 281, 2296, 281, 14583, 540, 4563, 476, 272, 267, 2495, 1412, 1873, 14390, 344, 262, 610, 1412, 323, 1046, 3620, 8529, 3299, 689, 513, 676, 845, 540, 519, 6196, 2296, 18781, 1025, 19508, 322, 267, 1025, 659, 1412, 18872, 3299, 609, 1689, 540, 563, 1080, 7681, 609, 519, 1899, 2872, 538, 2274, 305, 1195, 543, 519, 1686, 540, 519, 1547, 476, 6977, 279, 585, 513, 834, 329, 1177, 8302, 278, 262, 543, 4166, 1310, 4646, 519, 29965, 9412, 19783, 7577, 563, 20225, 476, 1839, 267, 476, 1001, 271, 1547, 689, 1686, 676, 11969, 29464, 267, 808, 14641, 267, 585, 2836, 10520, 476, 1220, 279, 269, 12005, 540, 10371, 9412, 19854, 267, 899, 519, 29965, 19783, 267, 941, 5189, 538, 476, 5908, 272, 269, 1306, 5599, 563, 15578, 21398, 4306, 2177, 25886, 19766, 3198, 312, 267, 29706, 13993, 23360, 8991, 476, 6245, 275, 3267, 634, 1984, 12227, 2882, 1079, 29965, 19854, 267, 1614, 1207, 15590, 3613, 821, 14200, 267, 543, 1614, 1325, 28410, 563, 14532, 540, 631, 1149, 543, 18370, 11072, 1862, 3220, 269, 717, 3578, 4471, 267, 855, 519, 2038, 1686, 540, 519, 9553, 568, 711, 15422, 676, 4896, 1631, 3267, 1535, 476, 1015, 10759, 29965, 19783, 267, 2947, 476, 1911, 271, 11013, 563, 272, 17461, 1686, 282, 476, 273, 11633, 946, 282, 476, 274, 9537, 540, 19854, 269, 476, 274, 269, 272, 26836, 8302, 10371, 634, 29965, 8302, 729, 31601, 676, 18379, 18724, 2284, 29965, 538, 476, 6977, 279, 269, 634, 29965, 1826, 10265, 563, 2005, 3576, 835, 812, 476, 273, 2395, 547, 24807, 513, 12945, 13452, 540, 6149, 676, 1688, 269, 769, 3210, 547, 519, 4320, 540, 16760, 6149, 2877, 18379, 18724, 2284, 29965, 2919, 513, 9252, 12454, 563, 14367, 1134, 3146, 572, 2117, 1117, 2376, 267, 968, 305, 1933, 338, 23850, 585, 20167, 5501, 281, 589, 16684, 3778, 540, 519, 17959, 540, 2480, 21329, 10371, 6149, 8302, 729, 31601, 676, 18379, 29965, 267, 602, 4155, 18574, 563, 15037, 476, 273, 267, 476, 1001, 276, 1547, 476, 757, 267, 1053, 267, 543, 2828, 945, 8661, 19783, 3267, 18007, 476, 273, 281, 25381, 14355, 267, 29965, 654, 1228, 267, 918, 1803, 667, 2678, 267, 12448, 7136, 3716, 267, 20917, 8891, 4592, 5652, 267, 8298, 534, 563, 763, 7626, 729, 2366, 998, 513, 29965, 8302, 547, 9931, 1351, 2607, 730, 20061, 543, 1287, 547, 513, 17453, 29976, 269, 634, 936, 20695, 1570, 689, 519, 29976, 729, 2366, 547, 5347, 563, 14257, 476, 1556, 267, 476, 1001, 275, 1547, 31167, 3455, 5249, 585, 519, 18718, 1633, 623, 3058, 7577, 543, 1287, 519, 29965, 1547, 5637, 519, 18718, 1633, 623, 3058, 7577, 543, 29965, 1299, 31167, 3455, 7577, 16941, 593, 519, 29965, 19783, 269, 3778, 540, 519, 3557, 540, 4993, 543, 4437, 7240, 16680, 454, 21801, 476, 1724, 267, 476, 1001, 275, 1547, 5595, 1025, 820, 18711, 10265, 8302, 5777, 267, 25103, 281, 19065, 375, 5291, 2517, 2998, 334, 3052, 331, 22230, 2862, 280, 327, 275, 2859, 3877, 19065, 375, 281, 5291, 2517, 2998, 334, 3052, 331, 21610, 272, 333, 325, 310, 308, 19065, 375, 19065, 375, 630, 31640, 8627, 14386, 568, 3833, 563, 20225, 476, 277, 267, 476, 1001, 271, 1547, 8751, 5555, 27424, 1524, 715, 1564, 976, 5067, 6276, 29965, 630, 320, 19622, 3267, 13475, 540, 513, 1616, 21671, 16160, 8302, 5176, 8938, 1296, 25656, 27260, 763, 4224, 27440, 568, 4448, 609, 519, 14788, 338, 676, 606, 13128, 11506, 16749, 267, 676, 799, 519, 4224, 568, 2196, 883, 519, 1283, 543, 9447, 547, 519, 29965, 19854, 267, 3670, 538, 563, 19878, 476, 276, 267, 476, 1001, 274, 1547, 1772, 12312, 5500, 9291, 13879, 519, 1034, 3818, 268, 2145, 5034, 6345, 538, 519, 1686, 540, 519, 1547, 2290, 24821, 2421, 21597, 4528, 5182, 1042, 3143, 601, 834, 290, 6350, 615, 257, 7581, 531, 267, 5845, 29965, 27260, 20225, 476, 273, 267, 476, 1001, 272, 1547, 769, 476, 5197, 277, 513, 9252, 2599, 12454, 5066, 8302, 7902, 282, 476, 6977, 279, 519, 10265, 8302, 729, 11827, 676, 29965, 689, 2136, 2276, 585, 11493, 4224, 6902, 519, 563, 1103, 2617, 566, 568, 606, 7533, 851, 540, 519, 1686, 540, 20523, 1715, 670, 13273, 269, 1547, 634, 29965, 14664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3246, 16419, 267, 10319, 3435, 269, 1284, 3580, 849, 1683, 596, 609, 5140, 6075, 3028, 585, 513, 1390, 2698, 1995, 269, 0, 25889, 281, 289, 5281, 616, 835, 540, 519, 1034, 1455, 7063, 538, 519, 1158, 267, 1034, 11932, 1282, 519, 10617, 267, 543, 519, 2550, 2356, 1995, 1164, 2157, 540, 1928, 269, 1290, 4124, 1331, 1312, 2168, 543, 5626, 3344, 607, 1134, 607, 12716, 4145, 269, 5004, 13408, 2027, 2994, 3842, 1808, 2126, 10873, 269, 9615, 5933, 1331, 281, 15063, 543, 1852, 540, 7244, 11733, 267, 20178, 720, 2359, 267, 17795, 19479, 267, 9325, 8851, 267, 3968, 1852, 543, 1852, 540, 1560, 2837, 269, 898, 814, 1044, 6700, 602, 8955, 3797, 609, 1970, 1377, 1648, 1223, 723, 513, 2318, 1198, 593, 10138, 7067, 1184, 563, 11917, 16633, 281, 763, 2832, 540, 713, 1353, 729, 547, 4983, 519, 1198, 540, 1114, 20966, 540, 12821, 268, 2026, 8955, 609, 4544, 630, 28147, 16354, 264, 543, 3039, 630, 276, 3953, 16354, 264, 20966, 593, 519, 7067, 540, 3791, 24266, 6633, 16398, 538, 654, 626, 541, 14148, 563, 29605, 543, 10613, 281, 1103, 713, 1353, 267, 476, 3607, 5256, 654, 626, 541, 14148, 630, 279, 22173, 1245, 267, 2597, 532, 476, 7742, 268, 4968, 575, 264, 941, 5258, 883, 1614, 2516, 540, 3160, 2338, 269, 2353, 2831, 941, 606, 652, 2867, 1242, 676, 12499, 704, 32050, 531, 24409, 269, 667, 832, 531, 24827, 941, 695, 8491, 543, 3791, 24266, 2960, 17236, 941, 2813, 593, 519, 1394, 540, 519, 2831, 676, 1210, 513, 7601, 16826, 269, 634, 16826, 729, 3636, 539, 909, 1101, 547, 476, 4817, 391, 504, 290, 3842, 513, 22865, 269, 2991, 2072, 267, 519, 2831, 941, 14477, 5258, 883, 519, 4544, 543, 3039, 8955, 543, 1852, 2516, 269, 634, 3259, 543, 8700, 540, 1142, 10138, 941, 6027, 676, 513, 1608, 23803, 543, 519, 1858, 540, 519, 27295, 729, 7229, 593, 519, 1101, 267, 3791, 267, 18749, 267, 20870, 267, 2185, 18818, 267, 27867, 267, 543, 8938, 23867, 2395, 540, 519, 1353, 269, 14520, 5439, 941, 3144, 689, 1142, 1895, 585, 2619, 984, 8344, 2079, 563, 24342, 281, 288, 7646, 4550, 13611, 1198, 540, 4544, 8955, 729, 4767, 1282, 8650, 5123, 267, 799, 1223, 7654, 17108, 10138, 7067, 1282, 519, 1101, 3018, 540, 7816, 269, 11778, 540, 938, 1353, 4951, 602, 1210, 1970, 7400, 8955, 3797, 630, 17247, 299, 307, 264, 609, 3039, 543, 4544, 20966, 949, 17108, 519, 10138, 7067, 1184, 607, 3379, 609, 519, 1852, 1895, 563, 3519, 7501, 281, 763, 8955, 2516, 723, 513, 3648, 811, 4028, 2557, 540, 10138, 19432, 982, 519, 1852, 1895, 1282, 519, 7067, 1184, 540, 17236, 282, 2705, 267, 519, 1198, 540, 700, 17247, 307, 593, 6633, 10138, 7067, 729, 9444, 19250, 6862, 1277, 10999, 1713, 269, 2859, 2090, 1058, 581, 5340, 547, 8495, 824, 2126, 10873, 543, 1095, 18587, 540, 2571, 8955, 547, 12172, 922, 1909, 538, 519, 2126, 540, 16398, 543, 6633, 7063, 563, 289, 5281, 4755, 1282, 519, 10617, 267, 30762, 543, 10913, 543, 723, 1164, 2157, 540, 1928, 1851, 519, 13676, 7980, 269, 23046, 5123, 27229, 16569, 1932, 1279, 602, 949, 1291, 547, 519, 30674, 540, 519, 3461, 269, 1290, 4124, 1331, 2168, 267, 5626, 543, 1034, 11932, 12716, 4145, 269, 5004, 13408, 2027, 2994, 3842, 1808, 2126, 10873, 282, 570, 306, 7034, 630, 20135, 1560, 2627, 1858, 264, 4994, 267, 799, 568, 6829, 607, 513, 6871, 267, 568, 1031, 585, 2468, 720, 543, 7766, 3318, 30128, 630, 272, 1040, 589, 3791, 24266, 6633, 568, 519, 1034, 29070, 543, 5739, 2620, 5945, 602, 3322, 28603, 529, 267, 546, 1069, 529, 267, 8401, 8031, 543, 521, 31122, 26448, 15374, 269, 1703, 616, 1880, 2126, 2994, 547, 4383, 713, 1966, 281, 1852, 540, 7244, 11733, 267, 20178, 720, 2359, 267, 17795, 19479, 267, 9325, 8851, 267, 3968, 1852, 543, 1852, 540, 1560, 2837, 630, 272, 267, 476, 273, 1040, 7324, 1114, 2409, 540, 6633, 8760, 267, 519, 2757, 1935, 568, 513, 2241, 543, 10858, 1259, 267, 799, 11008, 3278, 519, 5945, 883, 1101, 267, 2034, 543, 3791, 5232, 269, 769, 513, 3791, 4110, 17236, 267, 538, 1840, 547, 28603, 529, 543, 546, 1069, 529, 267, 1016, 12827, 10389, 5160, 543, 6091, 616, 849, 3238, 269, 570, 22568, 7816, 1287, 4384, 919, 3842, 7067, 1184, 1519, 1614, 3982, 11775, 281, 476, 272, 264, 12982, 610, 8650, 5123, 267, 476, 273, 264, 11491, 1637, 5123, 543, 476, 274, 264, 10077, 28889, 9934, 610, 7067, 5123, 630, 274, 1040, 21298, 267, 519, 13557, 540, 3621, 2090, 6920, 602, 8955, 2584, 739, 574, 1637, 1223, 3986, 10138, 7067, 1184, 896, 538, 24155, 543, 538, 20117, 2175, 282, 930, 540, 891, 29622, 6700, 2009, 6127, 540, 10138, 7067, 10231, 971, 607, 281, 20018, 10282, 630, 275, 1070, 4017, 549, 4565, 770, 543, 669, 1180, 549, 4565, 770, 18735, 630, 276, 267, 476, 277, 1070, 4227, 11560, 16438, 2880, 2534, 543, 2810, 540, 1973, 2095, 630, 278, 1070, 8229, 20344, 630, 279, 1070, 14242, 540, 23128, 11294, 22889, 18735, 630, 280, 264, 543, 4550, 13611, 2360, 630, 1015, 1040, 634, 2101, 4162, 540, 1970, 8515, 22795, 616, 281, 1379, 630, 9792, 1063, 476, 272, 268, 4335, 544, 310, 1070, 7154, 630, 11666, 6681, 610, 24421, 539, 1070, 9570, 630, 297, 14727, 332, 273, 1070, 4598, 942, 543, 15423, 269, 898, 814, 1044, 6700, 602, 519, 1970, 1377, 8955, 3797, 538, 519, 2039, 540, 3039, 1769, 20966, 630, 30019, 16354, 264, 568, 6225, 585, 519, 2126, 540, 6477, 7757, 15087, 543, 21003, 657, 630, 274, 267, 476, 1556, 1040, 1717, 267, 513, 1906, 4930, 8612, 519, 1909, 540, 4544, 1769, 20966, 630, 6110, 16354, 264, 538, 2126, 540, 18383, 543, 824, 12982, 2960, 15087, 630, 1321, 268, 1626, 1916, 8802, 8973, 519, 6069, 7506, 540, 8955, 2584, 739, 574, 1637, 593, 10138, 7067, 1184, 267, 519, 2832, 540, 713, 1353, 729, 547, 4983, 519, 1198, 540, 519, 1079, 1114, 20966, 540, 12821, 268, 2026, 8955, 630, 28147, 16354, 543, 476, 276, 3953, 16354, 264, 593, 7067, 540, 3791, 24266, 6633, 7063, 689, 1312, 513, 17172, 1670, 543, 1277, 1670, 29459, 540, 2070, 563, 274, 269, 10049, 543, 10613, 454, 274, 269, 272, 269, 10960, 5530, 454, 1607, 1353, 729, 5342, 593, 476, 3607, 5256, 654, 626, 541, 14148, 630, 279, 22173, 6040, 267, 2597, 532, 476, 7742, 268, 4968, 575, 264, 5833, 689, 30854, 584, 4659, 540, 9459, 269, 4438, 519, 1353, 267, 782, 14148, 941, 6854, 538, 519, 9674, 524, 1137, 896, 3044, 2825, 2783, 630, 1321, 3620, 1769, 7933, 1046, 4783, 267, 2837, 9625, 476, 2537, 391, 504, 290, 264, 543, 3177, 609, 3044, 8047, 1426, 543, 740, 5391, 527, 636, 1216, 269, 10960, 10873, 941, 896, 519, 15569, 540, 519, 2382, 6627, 10960, 5516, 543, 2422, 9730, 540, 589, 297, 288, 2160, 540, 6481, 7070, 269, 12292, 941, 606, 652, 2867, 1242, 609, 12499, 704, 32050, 531, 24409, 540, 11337, 8533, 543, 1535, 2643, 8872, 630, 1789, 8406, 21515, 543, 476, 1015, 8406, 21515, 1560, 2597, 267, 6606, 264, 1547, 667, 832, 531, 1560, 24827, 941, 695, 8491, 543, 3791, 24266, 2960, 17236, 941, 2813, 593, 519, 1394, 540, 519, 2831, 630, 928, 1188, 1858, 264, 676, 1210, 513, 7601, 16826, 630, 26319, 281, 476, 273, 269, 273, 4699, 267, 8700, 281, 476, 273, 4699, 543, 4463, 281, 476, 276, 6515, 1040, 634, 16826, 729, 3636, 539, 909, 1101, 547, 476, 4817, 391, 504, 290, 3842, 513, 22865, 609, 513, 3059, 17120, 543, 1310, 1142, 3801, 621, 729, 4371, 593, 519, 22865, 585, 835, 8792, 585, 1818, 519, 1985, 3791, 24266, 6633, 269, 6969, 3257, 865, 267, 538, 513, 12681, 1353, 267, 519, 16826, 729, 1031, 593, 513, 1875, 7721, 704, 14939, 3731, 547, 1449, 952, 513, 3791, 24266, 2960, 6633, 1223, 581, 1500, 269, 2991, 8781, 267, 519, 13676, 2960, 729, 5612, 1651, 2213, 543, 621, 729, 4767, 602, 519, 3673, 807, 543, 519, 4887, 941, 3238, 269, 2991, 2072, 267, 519, 2831, 941, 14477, 5258, 883, 1614, 1016, 25364, 912, 272, 264, 5682, 8955, 1895, 630, 294, 264, 602, 729, 23735, 7007, 676, 476, 276, 3953, 16354, 15423, 454, 273, 264, 9791, 8955, 1895, 630, 289, 264, 602, 729, 23735, 7007, 676, 476, 28147, 16354, 15423, 454, 274, 264, 6513, 1895, 630, 290, 264, 602, 2451, 15860, 454, 21920, 543, 8700, 540, 1142, 10138, 941, 6027, 676, 513, 1608, 23803, 543, 519, 1858, 540, 519, 27295, 729, 7229, 593, 1101, 267, 3791, 267, 18749, 267, 20870, 267, 2185, 18818, 267, 27867, 267, 543, 8938, 23867, 2395, 540, 519, 1353, 269, 2353, 2831, 941, 26693, 593, 519, 1482, 2395, 269, 2201, 519, 2063, 1554, 540, 519, 1353, 267, 3670, 5439, 941, 3144, 689, 1142, 1895, 585, 1277, 1670, 2079, 563, 274, 269, 273, 269, 21558, 10657, 454, 299, 525, 687, 540, 3039, 543, 4544, 8955, 2516, 941, 23735, 7007, 676, 946, 540, 12821, 268, 2026, 8955, 630, 299, 3008, 2207, 20219, 23727, 13456, 269, 9459, 264, 609, 24441, 20966, 630, 8201, 476, 272, 1040, 634, 4162, 540, 8955, 3457, 941, 912, 272, 264, 20613, 767, 2654, 281, 513, 264, 3039, 281, 476, 276, 3953, 16354, 267, 536, 264, 4544, 281, 476, 28147, 16354, 454, 273, 264, 5295, 3977, 281, 476, 736, 544, 310, 454, 274, 264, 20128, 2450, 281, 476, 272, 4699, 273, 454, 275, 264, 22452, 942, 281, 476, 4037, 7643, 630, 10472, 1297, 568, 7229, 2687, 547, 1379, 267, 5544, 2450, 267, 4598, 942, 543, 2126, 9570, 994, 276, 264, 25042, 281, 6024, 454, 277, 264, 13335, 7154, 281, 1875, 9762, 716, 693, 519, 3845, 540, 476, 273, 6515, 689, 519, 2960, 27295, 454, 278, 264, 667, 846, 281, 476, 272, 269, 276, 808, 30763, 273, 454, 1103, 519, 1459, 1353, 267, 519, 1152, 11050, 4756, 585, 17172, 11043, 2079, 729, 968, 342, 895, 19432, 892, 593, 519, 3791, 267, 18749, 267, 20870, 267, 2185, 18818, 267, 27867, 543, 8938, 23867, 2395, 269, 1306, 5018, 4505, 267, 1310, 6482, 540, 3259, 543, 8700, 540, 1142, 27295, 267, 2450, 11527, 1081, 540, 519, 10138, 1858, 2808, 607, 519, 3119, 13525, 585, 7067, 13319, 4879, 563, 4002, 519, 8938, 23867, 1554, 540, 519, 1353, 267, 3670, 15087, 538, 1142, 540, 1614, 1353, 2516, 941, 2300, 2213, 609, 2922, 19114, 543, 941, 6378, 538, 476, 1015, 260, 10889, 1229, 6101, 24957, 585, 476, 2190, 3108, 269, 634, 5439, 941, 2759, 1279, 2595, 3373, 630, 275, 32755, 11098, 264, 609, 2890, 339, 727, 543, 941, 11251, 538, 1612, 3530, 514, 269, 13536, 593, 267, 789, 11954, 676, 519, 6296, 670, 261, 292, 28969, 7014, 269, 19371, 15942, 941, 5423, 543, 11117, 676, 513, 2619, 6048, 945, 729, 711, 3222, 540, 519, 3732, 13798, 338, 269, 1635, 1210, 513, 1769, 17209, 630, 301, 1731, 517, 661, 6110, 267, 3567, 1070, 519, 1739, 1277, 1670, 6724, 941, 9916, 281, 25853, 15364, 267, 6228, 540, 2960, 1569, 800, 3889, 267, 1826, 540, 24561, 5160, 630, 325, 756, 9317, 610, 11491, 1637, 5160, 1070, 543, 1826, 630, 659, 1393, 610, 5312, 1040, 634, 11147, 1287, 5833, 609, 513, 3059, 8254, 630, 301, 1731, 517, 661, 279, 2412, 271, 267, 3567, 1916, 274, 269, 276, 269, 18926, 5811, 454, 2026, 1239, 6394, 689, 12719, 519, 10138, 19432, 1858, 543, 1560, 2597, 540, 2831, 2687, 547, 1353, 1374, 267, 7194, 941, 1031, 607, 513, 1292, 1907, 547, 2491, 519, 2035, 543, 954, 30447, 540, 519, 4632, 269, 634, 2164, 941, 7229, 1210, 2398, 1143, 3301, 630, 11437, 476, 276, 269, 271, 585, 9486, 476, 1960, 273, 268, 1220, 278, 8641, 303, 611, 12229, 267, 5549, 1040, 18926, 2409, 585, 16208, 1239, 538, 713, 1353, 941, 912, 272, 264, 29149, 7194, 630, 11743, 267, 3044, 11539, 264, 941, 7229, 585, 782, 4632, 543, 9184, 4327, 19952, 563, 273, 264, 918, 6350, 32039, 8862, 718, 529, 543, 1079, 17574, 30654, 4255, 941, 1031, 547, 5173, 519, 1611, 3604, 540, 10138, 19432, 538, 1984, 9014, 1851, 782, 2516, 593, 782, 1353, 2395, 563, 274, 264, 634, 6348, 268, 12407, 13011, 17054, 2006, 1449, 729, 1031, 547, 5173, 519, 1611, 3604, 540, 10138, 27373, 538, 1984, 9014, 1369, 782, 2516, 540, 519, 1353, 563, 275, 269, 272, 269, 11916, 28454, 454, 275, 269, 272, 269, 272, 269, 9737, 20492, 454, 21809, 6750, 9382, 540, 519, 968, 342, 895, 19432, 892, 2242, 1063, 1614, 2516, 1282, 519, 1353, 616, 3254, 538, 7305, 476, 272, 269, 3143, 1713, 8579, 3017, 729, 1336, 1063, 519, 1353, 2516 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 621, 568, 609, 741, 21217, 602, 789, 723, 519, 1379, 547, 10413, 1004, 585, 2947, 3275, 269, 476, 1556, 5445, 723, 513, 4622, 15194, 936, 873, 267, 945, 568, 519, 21425, 538, 5279, 540, 519, 705, 903, 338, 269, 3571, 2012, 538, 12355, 568, 2806, 5417, 517, 282, 538, 5259, 519, 2012, 568, 7442, 14709, 517, 630, 26074, 968, 763, 20121, 5797, 518, 892, 1916, 1321, 763, 1101, 16897, 568, 936, 282, 1310, 713, 972, 616, 1869, 1079, 811, 3520, 5558, 547, 2097, 563, 1724, 10190, 519, 15795, 21425, 6926, 342, 1010, 25041, 564, 269, 594, 4862, 513, 5639, 4947, 689, 519, 2185, 15174, 540, 519, 4154, 26749, 7555, 1354, 2696, 269, 476, 1691, 763, 5639, 1767, 547, 519, 15795, 21425, 267, 968, 3725, 3161, 519, 2185, 23109, 945, 616, 3808, 693, 519, 1390, 5757, 661, 25045, 6233, 17373, 476, 1428, 763, 2185, 23109, 941, 5950, 282, 585, 713, 1360, 5662, 540, 713, 1360, 1554, 540, 713, 1360, 3923, 543, 1032, 789, 1185, 1044, 6854, 4712, 547, 6146, 513, 3791, 540, 782, 8103, 269, 476, 1626, 296, 729, 5143, 519, 1297, 540, 519, 15841, 10136, 281, 621, 729, 476, 1220, 267, 1822, 267, 1822, 269, 476, 1704, 4517, 538, 1250, 5075, 594, 4718, 519, 9640, 543, 741, 26348, 281, 789, 1185, 6089, 680, 919, 2699, 607, 3595, 267, 4544, 607, 1094, 653, 10921, 267, 543, 5835, 607, 20962, 584, 269, 634, 9640, 262, 9843, 941, 899, 21495, 262, 9843, 267, 543, 689, 741, 28182, 3357, 856, 3595, 267, 8673, 267, 543, 20962, 584, 269, 476, 1240, 288, 3791, 540, 8103, 729, 7166, 676, 1346, 1614, 726, 8046, 281, 519, 3595, 267, 519, 8673, 267, 543, 519, 20962, 584, 4947, 856, 540, 519, 9640, 262, 28182, 269, 476, 866, 2690, 519, 1379, 540, 519, 9640, 568, 538, 741, 28182, 543, 849, 538, 741, 21217, 269, 4256, 21217, 616, 899, 15315, 609, 9843, 267, 543, 789, 946, 873, 547, 10413, 1004, 563, 736, 763, 1964, 540, 8103, 267, 782, 1346, 945, 1185, 711, 1044, 7166, 676, 891, 726, 8046, 267, 1705, 711, 2490, 2476, 689, 1018, 789, 2933, 1185, 1500, 269, 1358, 1705, 711, 3247, 26902, 6235, 1629, 976, 267, 6862, 519, 7329, 11169, 540, 4154, 267, 8988, 267, 19730, 267, 6149, 267, 543, 3574, 267, 799, 3112, 1294, 267, 5873, 267, 610, 3802, 269, 476, 2641, 301, 528, 1705, 789, 1065, 550, 540, 741, 15294, 619, 267, 741, 9059, 267, 741, 4638, 1799, 528, 1275, 267, 610, 741, 27560, 269, 0, 9199, 1553, 3046, 878, 3547, 616, 711, 1175, 8723, 4155, 7496, 282, 789, 616, 519, 5667, 2426, 12325, 540, 6808, 1852, 267, 4180, 519, 3106, 540, 5179, 1235, 267, 19516, 20379, 267, 543, 4600, 7567, 269, 2913, 779, 2263, 519, 4398, 540, 6808, 3046, 878, 3547, 267, 8774, 1769, 593, 875, 789, 960, 547, 2226, 1931, 267, 543, 1865, 741, 1585, 2010, 543, 3156, 538, 7393, 3106, 543, 4398, 593, 519, 4155, 563, 28733, 10439, 30334, 454, 3080, 540, 519, 3119, 3252, 540, 6808, 3046, 878, 3547, 568, 547, 1683, 2312, 3308, 5583, 547, 10256, 269, 1452, 3810, 7298, 3046, 878, 3547, 267, 1419, 1500, 540, 6505, 4778, 971, 607, 10538, 610, 5835, 267, 3927, 6952, 519, 3007, 540, 5179, 1235, 267, 10332, 532, 873, 547, 1761, 10898, 610, 2242, 538, 6808, 3270, 563, 3528, 5693, 16287, 1055, 11658, 2127, 267, 26738, 5008, 999, 267, 960, 10851, 543, 4070, 3785, 267, 3046, 878, 3547, 948, 10256, 6330, 9108, 543, 1118, 5483, 3664, 269, 634, 12050, 1129, 720, 543, 14436, 2326, 593, 3046, 878, 3547, 2327, 602, 10256, 666, 3362, 2697, 543, 1246, 11280, 11507, 267, 4227, 519, 1981, 540, 10913, 543, 6808, 20316, 563, 2419, 2335, 9934, 29853, 10046, 454, 21574, 878, 3547, 1404, 513, 2629, 1909, 538, 8756, 532, 6808, 2095, 269, 1358, 948, 1711, 6896, 28961, 267, 11651, 1154, 6472, 2476, 689, 4070, 4609, 267, 8009, 10207, 267, 610, 2680, 2127, 269, 1635, 9591, 513, 2312, 543, 11280, 13374, 585, 5179, 1235, 267, 3046, 878, 3547, 2061, 10539, 543, 2569, 519, 1981, 540, 10913, 563, 15371, 621, 779, 28570, 532, 6808, 1282, 4155, 18203, 267, 5883, 1804, 8397, 2621, 267, 610, 13057, 10256, 1472, 10151, 6188, 15297, 267, 891, 7496, 2327, 602, 10256, 3251, 593, 519, 5497, 8905, 543, 2226, 513, 2922, 3845, 689, 5571, 960, 267, 7393, 2949, 6808, 4398, 563, 26670, 3496, 8881, 543, 6250, 2225, 454, 9199, 1553, 3046, 878, 3547, 616, 2966, 609, 3106, 538, 2247, 269, 1358, 616, 9280, 609, 14436, 6656, 532, 543, 21825, 5116, 2992, 832, 267, 4180, 6099, 15287, 1312, 1282, 519, 1554, 543, 693, 3781, 269, 1635, 10452, 1769, 689, 2212, 7547, 267, 789, 3986, 15287, 538, 1970, 2000, 697, 2175, 267, 1818, 10256, 3222, 540, 14232, 4155, 2175, 610, 10898, 563, 1607, 2799, 15287, 2337, 547, 2061, 21611, 543, 8952, 4600, 543, 19516, 20379, 2922, 269, 3958, 267, 930, 3046, 878, 3547, 4183, 1166, 4770, 8279, 610, 10896, 10525, 267, 2417, 7393, 15287, 543, 10332, 532, 10256, 547, 4657, 4155, 2175, 610, 10151, 5008, 999, 563, 15650, 540, 29853, 4446, 878, 3547, 454, 9199, 1553, 3046, 878, 3547, 2097, 538, 1585, 2010, 267, 1142, 7674, 1808, 5301, 912, 4322, 6405, 7496, 616, 4122, 1031, 593, 28565, 543, 2101, 4155, 1811, 547, 5094, 6808, 28961, 543, 1683, 2168, 4027, 269, 1358, 616, 14463, 267, 19756, 267, 543, 5827, 540, 609, 9227, 1164, 18286, 5222, 267, 1818, 873, 4998, 585, 960, 7997, 4027, 563, 4322, 5068, 7496, 616, 17426, 950, 8900, 267, 855, 950, 4904, 609, 1216, 267, 789, 1683, 513, 19756, 543, 2500, 11064, 269, 1358, 616, 4122, 1031, 585, 10151, 4155, 5008, 999, 267, 2621, 267, 610, 31355, 3106, 267, 5356, 8112, 543, 8897, 540, 6283, 563, 13911, 594, 267, 4083, 267, 543, 8633, 4446, 878, 3547, 454, 4322, 15409, 3046, 878, 3547, 616, 9112, 689, 5068, 610, 4496, 543, 4183, 14436, 6656, 532, 585, 1164, 15287, 269, 1358, 616, 3335, 1031, 585, 28570, 532, 6808, 267, 10834, 26738, 5008, 999, 267, 610, 16287, 10151, 10898, 269, 634, 1826, 540, 3046, 878, 1228, 1031, 5673, 593, 519, 10335, 540, 519, 6808, 1852, 3510, 563, 5327, 11220, 4481, 585, 31355, 3106, 267, 891, 3046, 878, 3547, 616, 10156, 538, 4463, 543, 1419, 9280, 609, 3606, 2934, 971, 607, 1129, 720, 610, 4287, 531, 21985, 269, 1358, 616, 4122, 1031, 538, 4070, 10851, 610, 2680, 2127, 547, 2327, 513, 2312, 543, 2922, 13374, 585, 19516, 20379, 563, 4467, 20869, 609, 22769, 454, 9199, 1553, 3046, 878, 3547, 616, 2966, 547, 2743, 7453, 9431, 4441, 543, 4808, 269, 1358, 616, 9112, 547, 16641, 1764, 267, 4180, 15006, 543, 6617, 538, 1585, 4365, 2175, 269, 1452, 4441, 2327, 602, 519, 3046, 878, 3547, 666, 3927, 4196, 741, 3483, 543, 2149, 4155, 3755, 607, 5497, 563, 9199, 1553, 1852, 3549, 960, 29367, 547, 2327, 602, 741, 3046, 878, 3547, 2743, 610, 9765, 891, 6042, 267, 10647, 2834, 24422, 267, 5826, 267, 543, 2298, 11974, 269, 901, 7029, 547, 10220, 18715, 519, 3106, 543, 4398, 540, 741, 3785, 267, 3246, 4708, 540, 2247, 585, 1312, 519, 6808, 1852, 2754, 543, 741, 7218, 563, 9199, 1553, 3046, 878, 3547, 616, 711, 1175, 2168, 7496, 282, 789, 616, 513, 2565, 5057, 540, 6808, 1852, 602, 5849, 519, 3106, 543, 4398, 540, 938, 4155, 1811, 269, 3245, 3246, 2312, 5583, 547, 8756, 532, 6808, 2095, 543, 7393, 15287, 267, 891, 3046, 878, 3547, 1404, 513, 4105, 1909, 538, 4509, 1931, 543, 7863, 3025, 593, 519, 4155, 563, 2026, 6808, 1852, 3549, 899, 7167, 20738, 4446, 878, 1228, 3136, 547, 4225, 3106, 267, 1902, 538, 1164, 7779, 3046, 878, 3547, 267, 543, 3082, 547, 2479, 21608, 6808, 7653, 267, 649, 666, 782, 2972, 23704, 6808, 2095, 267, 4389, 10913, 267, 543, 8476, 3106, 1247, 10188, 998, 4993, 779, 10754, 563, 3383, 267, 1577, 779, 5660, 519, 1379, 540, 6808, 3046, 878, 3547, 543, 5431, 741, 9295, 547, 2870, 513, 10930, 543, 811, 3608, 6283, 5989, 269, 0, 296, 576, 1236, 908, 568, 513, 15851, 5162, 2534, 602, 10905, 11419, 543, 17938, 1791, 566, 593, 513, 1350, 626, 2287, 13792, 2627, 269, 1306, 1236, 11596, 1350, 728, 936, 519, 4672, 267, 972, 781, 513, 9589, 2631, 540, 5191, 543, 5714, 640, 602, 25186, 519, 28306, 538, 519, 2011, 269, 28631, 568, 519, 6574, 2749, 538, 519, 9769, 585, 4672, 1236, 908, 1317, 540, 519, 25708, 28631, 4672, 1236, 908, 678, 1074, 693, 21708, 1467, 5244, 269, 1548, 2306, 938, 678, 1074, 2027, 568, 602, 596, 616, 10950, 547, 3142, 707, 1378, 1236, 919, 543, 519, 16075, 568, 4625, 1863, 269, 17968, 267, 596, 666, 10519, 1236, 919, 4358, 693, 1269, 1556, 585, 4079, 269, 15566, 2542, 585, 513, 2656, 1413, 693, 519, 1686, 540, 713, 17938, 1791, 908, 5162, 2534, 563, 763, 3778, 540, 10979, 4787, 908, 454, 763, 8129, 540, 4672, 1236, 908, 666, 581, 14360, 1394, 547, 3504, 2053, 950, 1004, 538, 21617, 4525, 4362, 519, 10626, 540, 1350, 4575, 2066, 13792, 7252, 269, 634, 9998, 2963, 540, 4672, 1236, 919, 7389, 1394, 547, 1472, 476, 4968, 271, 14514, 538, 22778, 807, 267, 1141, 11317, 18705, 25229, 21747, 1236, 919, 689, 3662, 7633, 267, 2269, 6137, 873, 547, 741, 25192, 547, 7520, 3350, 593, 476, 5390, 14099, 563, 4913, 267, 621, 729, 538, 519, 13814, 1282, 519, 5664, 12698, 602, 4672, 1236, 908, 3459, 547, 1491, 593, 513, 811, 25992, 1106, 269, 634, 10656, 8246, 2038, 8747, 540, 4401, 15918, 12184, 1236, 919, 547, 6330, 519, 13792, 25825, 267, 16287, 519, 5912, 689, 513, 7154, 540, 6283, 547, 513, 1106, 540, 18883, 269, 634, 8560, 540, 4672, 1236, 908, 8057, 267, 543, 676, 519, 476, 1704, 628, 2540, 267, 621, 1185, 1831, 513, 5172, 2250, 830, 1851, 519, 3864, 18211, 7100, 563, 7021, 519, 1296, 267, 4672, 1236, 908, 814, 4797, 547, 11457, 267, 609, 10124, 538, 3937, 267, 25287, 2762, 267, 543, 18942, 2553, 269, 634, 7328, 1631, 13315, 513, 3099, 540, 6163, 267, 689, 519, 8856, 543, 25894, 540, 4137, 1236, 908, 547, 519, 3432, 543, 8515, 540, 4672, 19735, 543, 3432, 1236, 908, 269, 10979, 1236, 908, 814, 1831, 711, 1152, 513, 8013, 13287, 855, 849, 513, 16351, 2534, 10150, 676, 1004, 540, 782, 6502, 543, 5578, 2157, 267, 2870, 513, 7524, 543, 11972, 2686, 2245, 602, 21269, 519, 8608, 269, 0, 763, 1870, 568, 1767, 547, 581, 513, 2469, 6161, 1523, 269, 769, 713, 1523, 267, 649, 1491, 519, 9183, 602, 938, 1870, 786, 3136, 547, 21707, 538, 519, 2104, 269, 1809, 538, 4641, 267, 1870, 4422, 998, 1082, 22705, 543, 1524, 1282, 519, 1272, 4783, 540, 519, 1870, 269, 634, 3510, 540, 3668, 540, 2724, 949, 1267, 538, 1079, 2009, 4093, 799, 616, 28153, 543, 5277, 566, 269, 6184, 565, 1597, 1097, 4249, 513, 1360, 2565, 1909, 538, 1312, 5277, 566, 543, 28153, 269, 1924, 1934, 649, 786, 7198, 930, 540, 519, 7986, 3604, 1063, 873, 269, 2290, 1590, 581, 3222, 540, 519, 1883, 21441, 1063, 22625, 2886, 543, 5277, 566, 547, 10146, 513, 2754, 779, 14317, 563, 289, 1678, 4533, 1097, 5288, 700, 1172, 9179, 454, 306, 2454, 513, 2754, 781, 7221, 547, 7017, 22440, 568, 519, 1184, 540, 5277, 566, 269, 1879, 513, 1870, 666, 1100, 3476, 1599, 607, 972, 568, 1100, 4960, 540, 1919, 3478, 1732, 267, 713, 568, 1419, 2944, 269, 634, 5277, 566, 7436, 519, 1439, 540, 513, 6109, 781, 4238, 267, 538, 4334, 547, 28153, 267, 799, 666, 1577, 513, 18294, 556, 6716, 1125, 922, 7963, 543, 4163, 593, 609, 4238, 269, 1280, 10010, 3549, 267, 621, 781, 4749, 513, 3803, 18992, 267, 4352, 621, 1522, 581, 2838, 607, 513, 2063, 18992, 547, 2628, 1055, 22440, 602, 616, 1869, 7640, 539, 543, 1847, 593, 269, 769, 4334, 547, 5277, 566, 267, 799, 568, 513, 1184, 540, 4625, 14656, 606, 11769, 781, 1870, 267, 28153, 568, 4986, 811, 982, 513, 3656, 4640, 998, 799, 606, 1202, 565, 1203, 610, 22625, 1268, 11394, 8323, 269, 700, 1172, 9179, 568, 1945, 602, 666, 1152, 581, 2944, 676, 4213, 282, 621, 3112, 581, 2944, 676, 606, 1367, 269, 2552, 337, 3320, 267, 28153, 666, 581, 4988, 585, 1312, 4213, 543, 1004, 269, 6184, 565, 1597, 1097, 540, 519, 1268, 610, 519, 2754, 568, 519, 6852, 2601, 3297, 519, 28153, 855, 621, 568, 711, 519, 2013, 585, 519, 5277, 566, 269, 634, 2013, 568, 1114, 585, 5277, 566, 607, 972, 949, 581, 930, 4835, 1919, 2469, 593, 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 ]
[ 1810, 1405, 12969, 454, 453, 572, 335, 1314, 815, 694, 335, 318, 1314, 263, 27729, 288, 267, 3337, 289, 2020, 22610, 835, 291, 3682, 329, 288, 267, 835, 291, 3682, 329, 289, 267, 2012, 538, 694, 335, 1314, 912, 453, 14851, 476, 16733, 10946, 263, 821, 291, 3682, 329, 288, 264, 2999, 1295, 263, 821, 291, 3682, 329, 289, 4297, 543, 630, 2381, 263, 821, 291, 3682, 329, 288, 264, 2999, 3193, 263, 821, 291, 3682, 329, 289, 4297, 3097, 4848, 453, 528, 630, 10946, 263, 821, 291, 3682, 329, 289, 264, 2999, 1295, 263, 821, 291, 3682, 329, 288, 4297, 543, 630, 2381, 263, 821, 291, 3682, 329, 289, 264, 2999, 3193, 263, 821, 291, 3682, 329, 288, 4297, 2187, 4848, 16596, 8771, 454, 14851, 568, 318, 27729, 18425, 318, 1278, 263, 27729, 288, 267, 3337, 289, 264, 538, 630, 272, 267, 910, 272, 2187, 453, 16596, 8771, 454, 16596, 6936, 7531, 287, 300, 655, 334, 1125, 454, 3698, 568, 318, 27729, 18425, 318, 1278, 263, 27729, 288, 267, 3337, 289, 2187, 28768, 453, 12163, 453, 453, 4322, 19585, 2638, 952, 3337, 288, 781, 16879, 13352, 3330, 519, 2039, 540, 3097, 453, 453, 27729, 289, 781, 16879, 269, 1403, 782, 20327, 3514, 267, 1287, 3337, 288, 568, 1219, 538, 3337, 289, 563, 453, 453, 2252, 711, 267, 649, 8263, 645, 568, 538, 589, 2394, 602, 14543, 269, 1403, 1312, 589, 538, 645, 14543, 543, 454, 453, 453, 289, 538, 589, 14543, 267, 1287, 9444, 568, 8659, 538, 519, 824, 563, 453, 12163, 28768, 453, 572, 335, 1314, 815, 694, 335, 318, 1314, 263, 27729, 288, 267, 3337, 289, 994, 28768, 453, 13700, 3578, 815, 476, 272, 3097, 22610, 835, 291, 3682, 329, 288, 267, 835, 291, 3682, 329, 289, 267, 2012, 538, 694, 335, 1314, 912, 453, 453, 258, 2252, 589, 711, 538, 645, 267, 649, 8263, 645, 538, 589, 454, 453, 14851, 711, 16733, 2381, 263, 821, 291, 3682, 329, 289, 264, 10922, 1295, 263, 821, 291, 3682, 329, 288, 4297, 26444, 15235, 567, 543, 630, 10946, 263, 821, 291, 3682, 329, 288, 264, 10922, 3193, 263, 821, 291, 3682, 329, 289, 4297, 2187, 4848, 453, 13700, 3578, 815, 910, 272, 454, 4848, 14851, 2012, 2652, 3337, 289, 20508, 912, 15235, 453, 258, 933, 8263, 645, 538, 589, 2394, 8810, 6382, 269, 1403, 2630, 19585, 454, 15235, 453, 258, 338, 904, 645, 711, 538, 589, 1256, 2899, 454, 15235, 14851, 711, 16733, 2381, 263, 821, 291, 3682, 329, 289, 264, 13843, 1295, 263, 821, 291, 3682, 329, 288, 4297, 26444, 4848, 15235, 567, 543, 630, 10946, 263, 821, 291, 3682, 329, 288, 264, 13843, 3193, 263, 821, 291, 3682, 329, 289, 4297, 2187, 20930, 453, 13700, 3578, 815, 476, 271, 454, 20930, 16596, 5168, 454, 16596, 5168, 7531, 3698, 11571, 318, 3333, 16747, 263, 3333, 16747, 2187, 28768, 453, 258, 7476, 1152, 519, 23756, 5546, 454, 453, 20777, 318, 3333, 16747, 815, 11713, 22610, 3337, 538, 5546, 912, 453, 14851, 3337, 18994, 318, 935, 557, 343, 10031, 4848, 453, 20777, 318, 3333, 16747, 6910, 263, 27729, 994, 453, 28432, 912, 4848, 13537, 834, 262, 24001, 262, 568, 711, 513, 20372, 2668, 8971, 263, 27729, 20508, 2020, 22610, 3337, 288, 538, 4570, 318, 3333, 16747, 912, 453, 22610, 3337, 289, 538, 4570, 318, 3333, 16747, 912, 4848, 14851, 3337, 288, 2652, 3337, 289, 912, 15235, 453, 11666, 826, 692, 4848, 14851, 568, 318, 27729, 18425, 318, 1278, 263, 27729, 288, 267, 3337, 289, 264, 2652, 910, 272, 912, 15235, 13537, 834, 262, 24001, 262, 27788, 1412, 24001, 262, 2668, 8971, 263, 27729, 288, 20508, 267, 3337, 289, 20508, 994, 15235, 454, 4848, 453, 19197, 568, 318, 27729, 18425, 318, 1278, 263, 27729, 288, 267, 3337, 289, 264, 2652, 476, 272, 912, 15235, 13537, 834, 262, 24001, 262, 568, 3330, 1412, 24001, 262, 2668, 8971, 263, 27729, 288, 20508, 267, 3337, 289, 20508, 2020, 4848, 453, 258, 1607, 10416, 2306, 2386, 3388, 568, 1509, 334, 1242, 1247, 1373, 519, 3803, 19585, 563, 4848, 28432, 912, 15235, 14851, 12969, 532, 318, 3333, 16747, 263, 27729, 288, 267, 3337, 289, 2187, 20930, 13537, 834, 262, 24001, 262, 12969, 338, 1412, 24001, 262, 2668, 8971, 263, 27729, 288, 20508, 267, 3337, 289, 20508, 994, 15235, 28432, 281, 3097, 20930, 13537, 834, 262, 24001, 262, 568, 5094, 689, 1412, 24001, 262, 2668, 8971, 263, 27729, 288, 20508, 267, 3337, 289, 20508, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 325, 815, 1930, 19304, 4433, 903, 27769, 341, 314, 272, 25818, 1412, 337, 5073, 453, 329, 3333, 16747, 815, 795, 5459, 269, 2903, 6600, 994, 453, 3333, 16747, 815, 1496, 4537, 1901, 263, 27729, 264, 585, 3337, 538, 795, 3333, 16747, 9131, 613, 5852, 262, 6012, 262, 27729, 11172, 2639, 453, 2675, 534, 318, 3333, 16747, 263, 3333, 16747, 9239, 453, 258, 2080, 594, 729, 4152, 519, 3337, 602, 519, 1101, 21767, 8959, 593, 269, 1530, 2114, 5386, 1631, 563, 453, 258, 290, 6817, 621, 15067, 5142, 524, 15120, 621, 5654, 899, 513, 4062, 689, 15067, 5142, 952, 596, 2721, 621, 856, 563, 453, 258, 339, 564, 5142, 815, 13634, 453, 258, 453, 257, 573, 9899, 257, 339, 564, 5142, 1449, 257, 31377, 453, 258, 453, 257, 4812, 9899, 314, 454, 453, 258, 453, 453, 346, 834, 343, 9899, 476, 271, 267, 834, 344, 9899, 476, 271, 7684, 2676, 453, 258, 453, 453, 346, 834, 343, 9899, 476, 273, 267, 834, 344, 9899, 476, 271, 7684, 2676, 453, 258, 453, 453, 346, 834, 343, 9899, 476, 273, 267, 834, 344, 9899, 476, 272, 7684, 267, 3097, 453, 258, 453, 453, 346, 834, 343, 9899, 476, 272, 267, 834, 344, 9899, 476, 272, 7684, 2676, 453, 258, 453, 453, 346, 834, 343, 9899, 476, 272, 267, 834, 344, 9899, 476, 273, 7684, 2676, 453, 258, 453, 453, 346, 834, 343, 9899, 476, 271, 267, 834, 344, 9899, 476, 273, 7684, 22322, 453, 258, 453, 2639, 453, 258, 8679, 453, 258, 339, 564, 5142, 815, 23426, 6025, 564, 5142, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2765, 13997, 324, 8703, 273, 1535, 348, 1341, 476, 272, 2410, 346, 324, 8703, 343, 348, 910, 476, 272, 348, 1422, 9507, 346, 11459, 348, 815, 1422, 842, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 340, 910, 476, 272, 348, 1422, 2765, 3189, 9507, 346, 706, 12453, 324, 348, 9745, 1535, 6911, 7445, 574, 18680, 1422, 842, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 340, 910, 476, 272, 348, 1422, 9392, 1422, 2765, 3189, 9507, 346, 706, 12453, 340, 10592, 7445, 574, 18680, 1422, 842, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 340, 1422, 3847, 26086, 910, 476, 272, 9368, 14587, 1422, 9507, 346, 706, 10592, 7445, 574, 18680, 1422, 842, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 346, 340, 8703, 273, 348, 910, 579, 348, 1422, 9507, 346, 706, 10592, 6546, 781, 4781, 661, 2433, 2020, 14257, 476, 1691, 267, 476, 1001, 279, 692, 7445, 842, 1422, 3553, 2381, 639, 1422, 2765, 13997, 324, 8703, 273, 1535, 348, 1341, 476, 272, 2410, 346, 324, 8703, 343, 348, 910, 476, 272, 348, 1422, 9507, 346, 11459, 348, 815, 11513, 3847, 24560, 842, 1422, 3553, 2381, 639, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 346, 340, 8703, 273, 348, 910, 579, 348, 1422, 9507, 346, 706, 4153, 2431, 316, 13925, 340, 815, 2715, 324, 8703, 343, 32556, 2971, 19247, 1384, 5575, 267, 649, 666, 27682, 519, 7533, 607, 5205, 1384, 7445, 842, 1422, 3553, 2381, 639, 1422, 2765, 13997, 324, 8703, 273, 1535, 348, 1341, 476, 272, 2410, 346, 324, 8703, 343, 348, 910, 476, 272, 348, 1422, 9507, 346, 11459, 348, 815, 1422, 842, 1422, 3553, 2381, 639, 1422, 2765, 13997, 324, 8703, 343, 348, 1341, 1422, 3553, 2381, 639, 1422, 2765, 346, 272, 2410, 346, 324, 8703, 343, 3686, 2410, 346, 324, 8703, 343, 348, 910, 476, 272, 348, 2715, 324, 8703, 343, 348, 1422, 9507, 346, 11459, 31859, 24309, 899, 713, 267, 649, 1294, 602, 519, 2076, 8681, 949, 581, 9763, 607, 513, 7768, 1599, 1269, 325, 1422, 3847, 14116, 1422, 3847, 3287, 9368, 9385, 2431, 7751, 609, 519, 6418, 1599, 1269, 326, 1422, 3847, 3287, 9368, 264, 815, 575, 1412, 1422, 3847, 3287, 9368, 264, 815, 2715, 324, 8703, 343, 23201, 4475, 10484, 7445, 842, 1422, 3553, 2381, 639, 1422, 2765, 13997, 324, 8703, 343, 348, 1341, 1422, 3553, 2381, 639, 1422, 2765, 346, 272, 2410, 346, 324, 8703, 343, 3686, 2410, 346, 324, 8703, 343, 348, 910, 476, 272, 348, 2715, 324, 8703, 343, 348, 1422, 9507, 346, 11459, 348, 815, 6911, 259, 284, 11513, 3847, 24560, 842, 1422, 3553, 2381, 639, 1422, 2765, 346, 340, 1341, 1422, 3553, 2381, 639, 1422, 2765, 346, 272, 2410, 340, 12453, 340, 910, 476, 272, 348, 1422, 9507, 346, 706, 4153, 2431, 316, 13925, 340, 815, 2715, 324, 8703, 343, 3686, 815, 6911, 259, 284, 11513, 3847, 24560, 842, 1422, 3553, 2381, 639, 1422, 2765, 3189, 3553, 2381, 639, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 340, 12453, 340, 910, 476, 272, 348, 1422, 9507, 346, 706, 4153, 2431, 316, 13925, 340, 815, 2715, 324, 8703, 343, 3686, 815, 6911, 259, 284, 11513, 3847, 24560, 842, 1422, 3553, 2381, 639, 1422, 2765, 13997, 340, 8703, 273, 348, 1341, 476, 272, 2410, 346, 340, 8703, 273, 348, 910, 579, 348, 1422, 9507, 346, 706, 4153, 2431, 316, 13925, 340, 815, 2715, 324, 8703, 343, 3686, 10608, 0, 1692, 1082, 844, 11301, 538, 513, 476, 1321, 10759, 1236, 32576, 2496, 1892, 1635, 281, 21877, 454, 1892, 11261, 281, 2904, 476, 866, 267, 476, 1708, 273, 454, 1892, 5384, 547, 1224, 281, 476, 277, 1295, 780, 1692, 1082, 844, 11301, 538, 513, 476, 1321, 10759, 1236, 32576, 2496, 3383, 267, 875, 1082, 844, 11301, 666, 513, 476, 1321, 6279, 1236, 32576, 3180, 286, 634, 2110, 2626, 568, 476, 273, 844, 11301, 540, 1216, 269, 589, 3044, 476, 1321, 20878, 1236, 32576, 568, 827, 476, 1015, 6279, 2647, 267, 476, 273, 547, 476, 273, 16006, 6279, 2620, 267, 543, 476, 275, 6279, 1164, 693, 519, 26079, 269, 898, 6585, 827, 476, 279, 11680, 630, 5038, 13728, 1070, 865, 621, 849, 6585, 476, 273, 844, 11301, 540, 5277, 780, 1432, 568, 513, 14415, 540, 1216, 2496, 288, 14415, 267, 607, 513, 5277, 2268, 3160, 547, 476, 273, 2475, 533, 6493, 267, 568, 476, 274, 414, 483, 497, 595, 308, 4916, 780, 1607, 1797, 602, 952, 596, 4941, 547, 6445, 909, 707, 476, 1321, 20878, 1236, 32576, 609, 1216, 267, 621, 1131, 991, 476, 5038, 13728, 799, 568, 476, 279, 11680, 1317, 972, 616, 476, 275, 11680, 538, 513, 14415, 269, 901, 1131, 581, 476, 273, 4890, 844, 11301, 540, 1216, 269, 1677, 1205, 519, 1297, 540, 844, 11301, 267, 3274, 7941, 519, 6482, 676, 519, 1297, 540, 11680, 538, 513, 14415, 269, 2372, 11301, 815, 630, 9288, 5501, 618, 31618, 10831, 540, 595, 5725, 538, 476, 272, 31763, 264, 1315, 476, 275, 692, 1432, 952, 596, 991, 811, 982, 476, 273, 844, 11301, 540, 1216, 538, 513, 1236, 32576, 2496, 763, 14724, 2626, 568, 547, 1039, 513, 19984, 547, 519, 1236, 32576, 269, 589, 1804, 1236, 32576, 609, 513, 19984, 666, 2270, 827, 476, 274, 844, 11301, 540, 1216, 952, 5116, 593, 1283, 540, 513, 3677, 1494, 610, 3443, 602, 3568, 519, 1482, 2179, 780, 2252, 972, 779, 1100, 19984, 267, 596, 666, 946, 23240, 543, 1287, 3382, 621, 609, 513, 19984, 610, 6676, 602, 779, 8273, 982, 519, 1236, 32576, 269, 1403, 596, 2461, 538, 519, 19069, 543, 1810, 1406, 723, 1022, 3063, 3434, 2264, 267, 1175, 16212, 707, 476, 1321, 20878, 1236, 32576, 26700, 1524, 543, 2490, 621, 883, 606, 1561, 14876, 8708, 269, 9255, 1776, 3443, 7893, 693, 2547, 476, 1015, 6279, 2647, 593, 1283, 540, 519, 30141, 1236, 32576, 543, 6445, 909, 519, 4611, 13570, 1063, 873, 609, 1216, 269, 5213, 1406, 2503, 621, 547, 3180, 1454, 267, 1498, 282, 713, 1826, 540, 11460, 1131, 3180, 827, 476, 272, 26528, 533, 6493, 780, 1432, 568, 519, 19319, 540, 4625, 11423, 519, 1236, 32576, 2496, 2467, 616, 11393, 547, 4625, 11423, 519, 1236, 32576, 609, 1216, 269, 1280, 835, 267, 621, 779, 5230, 269, 1411, 8910, 723, 547, 4163, 1472, 476, 274, 16006, 6550, 540, 1216, 538, 707, 1236, 32576, 2439, 5194, 1966, 568, 602, 1022, 3170, 610, 31294, 12628, 883, 519, 1236, 32576, 786, 581, 24760, 896, 519, 1216, 543, 2182, 547, 1205, 856, 269, 1403, 596, 2461, 711, 4058, 593, 11067, 519, 1236, 32576, 1318, 2476, 267, 1287, 713, 4440, 3884, 1406, 513, 2462, 4308, 267, 855, 1869, 267, 621, 779, 1945, 547, 4585, 856, 585, 780, 4913, 267, 952, 596, 1152, 6445, 519, 1236, 32576, 28870, 909, 609, 1216, 543, 1039, 1776, 3443, 593, 1283, 1287, 972, 568, 1100, 991, 547, 5855, 827, 9561, 707, 11273, 1426, 543, 3282, 543, 971, 4465, 1406, 979, 883, 519, 4890, 1216, 269, 630, 2791, 666, 849, 946, 11956, 23240, 538, 9114, 340, 540, 606, 3063, 1494, 6393, 2252, 596, 936, 15640, 519, 1236, 32576, 609, 1216, 543, 666, 1406, 3514, 1776, 3443, 593, 1283, 540, 621, 267, 596, 1522, 581, 15673, 539, 547, 16212, 519, 2898, 3364, 936, 269, 5213, 1406, 798, 602, 256, 634, 1655, 1259, 547, 8900, 519, 1216, 568, 547, 1491, 513, 8325, 1843, 899, 513, 7423, 17180, 610, 10209, 338, 543, 6529, 873, 883, 519, 1216, 689, 1657, 865, 789, 14047, 675, 519, 2627, 8082, 269, 3973, 782, 596, 723, 547, 798, 568, 1847, 707, 1688, 538, 513, 9764, 5163, 1247, 5329, 707, 11263, 1927, 865, 607, 711, 547, 2736, 998, 519, 2627, 8082, 269, 901, 786, 1711, 513, 627, 20071, 23051, 1198, 3330, 540, 799, 786, 8963, 782, 540, 707, 5986, 5277, 1510, 1818, 513, 3190, 780, 7661, 267, 621, 568, 2352, 547, 13489, 1426, 538, 513, 1236, 32576, 602, 568, 4625, 4904, 609, 1216, 269, 1280, 1383, 267, 952, 519, 5377, 540, 707, 476, 1321, 20878, 1236, 32576, 568, 476, 1015, 6279, 2647, 267, 621, 779, 2182, 547, 1205, 513, 11308, 22635, 610, 22883, 3121, 18284, 519, 1426, 596, 2461, 3843, 547, 2490, 269, 589, 1732, 1259, 547, 989, 10028, 1426, 538, 513, 3368, 23752, 1236, 32576, 1131, 581, 547, 6335, 519, 6023, 1394, 543, 8521, 1247, 3001, 519, 2898, 3443, 3079, 540, 28817, 609, 513, 24881, 559, 780, 1692, 1082, 844, 11301, 616, 538, 513, 476, 1015, 20878, 31068, 3443, 2496, 288, 476, 1015, 20878, 31068, 3443, 602, 779, 476, 273, 6279, 2620, 267, 568, 827, 476, 279, 268, 280, 11680, 538, 4320, 269, 1924, 621, 666, 3180, 827, 476, 272, 269, 276, 844, 11301, 540, 5277, 780, 2414, 3313, 519, 1297, 540, 844, 11301, 676, 7893, 519, 8006, 267, 596, 7941, 12631, 676, 476, 275, 547, 1205, 476, 274, 269, 1691, 270, 275, 284, 271, 269, 4281, 276, 28883, 29257, 279, 5325, 280, 799, 21448, 909, 547, 476, 271, 269, 8064, 865, 707, 31068, 3443, 6585, 827, 476, 8064, 13728, 610, 1472, 476, 277, 11680, 799, 1226, 919, 547, 827, 476, 272, 269, 276, 844, 11301, 7132, 513, 2370, 936, 3368, 513, 7484, 865, 621, 1223, 20248, 581, 2808, 476, 273, 844, 11301, 892, 780, 2690, 4704, 5301, 1934, 616, 930, 824, 1455, 3688, 609, 3044, 7403, 1384, 272, 14415, 1107, 476, 3953, 12063, 630, 349, 275, 11680, 264, 815, 476, 280, 16357, 538, 8006, 692, 273, 844, 11301, 1107, 476, 5038, 12063, 630, 349, 279, 11680, 264, 815, 476, 1015, 16357, 538, 8006, 692, 274, 844, 11301, 1107, 476, 9834, 12063, 630, 349, 1321, 11680, 264, 815, 476, 1321, 16357, 538, 8006, 692, 275, 844, 11301, 1107, 476, 12553, 12063, 630, 349, 1626, 11680, 264, 815, 476, 1691, 16357, 538, 8006, 692, 4913, 267, 519, 1657, 268, 20197, 19206, 616, 2407, 19206, 540, 31781, 269, 1411, 1131, 711, 1616, 547, 4625, 6445, 513, 3443, 609, 1216, 269, 4475, 267, 519, 4052, 19206, 540, 31781, 616, 2141, 4130, 982, 891, 780, 9989, 519, 1570, 540, 519, 1236, 32576, 1860, 922, 4390, 2496, 8133, 267, 952, 519, 1570, 540, 519, 1236, 32576, 568, 23198, 267, 1287, 621, 786, 723, 811, 4390, 780, 763, 1236, 32576, 538, 2243, 568, 1500, 540, 11956, 865, 621, 814, 513, 2597, 540, 827, 476, 272, 11013, 829, 12945, 3723, 269, 1325, 26891, 814, 513, 5860, 540, 476, 273, 269, 278, 10101, 30763, 317, 274, 269, 1924, 602, 1797, 606, 8900, 476, 1321, 20878, 1236, 32576, 1131, 9260, 476, 1321, 265, 273, 269, 278, 284, 3953, 13728, 799, 1226, 919, 547, 1175, 896, 476, 273, 6550, 609, 1216, 538, 621, 692, 2252, 596, 616, 7893, 922, 2597, 1310, 4625, 11423, 621, 609, 1216, 596, 1131, 991, 547, 1491, 883, 2272, 602, 972, 616, 3606, 6675, 3544, 540, 519, 3443, 779, 2627, 1858, 602, 568, 11319, 1524, 593, 519, 1216, 3330, 543, 13030, 17930, 269, 1403, 519, 6821, 941, 9985, 6366, 782, 1472, 630, 6518, 789, 2461, 711, 264, 594, 8910, 2161, 707, 3443, 1223, 3180, 827, 476, 276, 6550, 540, 1216, 780, 4913, 267, 519, 6821, 2356, 512, 1653, 856, 5594, 799, 1797, 972, 786, 581, 1447, 2627, 1858, 15700, 519, 1216, 799, 1797, 596, 666, 1406, 1489, 607, 1454, 2597, 1354, 621, 6238, 547, 22775, 610, 31617, 896, 2604, 780, 1692, 547, 2268, 519, 4390, 540, 1236, 32576, 1210, 3178, 543, 8006, 780, 272, 269, 5269, 2386, 519, 1236, 32576, 568, 3819, 543, 609, 1100, 1426, 538, 621, 269, 5192, 513, 7893, 7484, 543, 13248, 1216, 883, 519, 1236, 32576, 2394, 621, 10301, 519, 5377, 540, 519, 5580, 9067, 610, 26079, 540, 519, 1236, 32576, 780, 273, 269, 12763, 875, 1454, 1216, 596, 23953, 883, 707, 1236, 32576, 676, 1210, 707, 14610, 610, 11746, 2268, 547, 1265, 856, 519, 3178, 540, 1216, 538, 17744, 780, 274, 269, 8921, 267, 1265, 856, 875, 2647, 2066, 707, 1236, 32576, 568, 693, 922, 11097, 652, 1448, 2066, 689, 2427, 3562, 20933, 676, 1210, 513, 11746, 2268, 337, 610, 14610, 543, 4358, 2059, 835, 6316, 543, 10678, 593, 1776, 543, 4466, 1141, 621, 12969, 338, 855, 711, 1472, 1022, 27894, 610, 1472, 519, 6023, 270, 2590, 799, 1131, 3310, 621, 779, 8032, 865, 7403, 4043, 547, 581, 4130, 982, 519, 4890, 4390, 780, 275, 269, 4855, 856, 875, 1082, 17744, 979, 883, 476, 1321, 6279, 676, 12270, 519, 1297, 540, 17744, 676, 476, 271, 269, 274, 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 ]
[ 6316, 538, 6111, 543, 3902, 269, 1717, 267, 19552, 22862, 270, 577, 4435, 20898, 29054, 616, 811, 1455, 563, 4942, 24043, 568, 7363, 1031, 593, 11956, 950, 596, 723, 5374, 3514, 14005, 607, 1134, 607, 519, 11956, 269, 2560, 4107, 8869, 23541, 2221, 666, 1683, 513, 8101, 2179, 540, 14809, 4027, 547, 11956, 609, 606, 4401, 19552, 5910, 13015, 563, 268, 27686, 519, 2627, 563, 268, 17183, 11852, 563, 268, 3026, 23018, 1944, 27125, 630, 28436, 994, 4942, 6664, 908, 610, 19552, 7503, 15098, 568, 513, 5663, 1184, 538, 799, 606, 15755, 8602, 3070, 23465, 609, 519, 4496, 851, 610, 28891, 618, 269, 898, 10905, 609, 610, 3123, 513, 3114, 7503, 602, 21810, 519, 2627, 540, 519, 4496, 851, 883, 513, 8825, 4494, 267, 799, 568, 7833, 543, 16931, 547, 519, 1604, 563, 288, 19552, 15098, 568, 2356, 5833, 676, 7311, 547, 519, 5374, 851, 513, 32561, 3070, 540, 8485, 7595, 3679, 267, 7654, 609, 19729, 4401, 267, 13058, 267, 543, 5924, 22670, 20919, 269, 634, 3070, 949, 581, 4294, 676, 29008, 532, 267, 30574, 267, 610, 21599, 563, 763, 3109, 12547, 15098, 3091, 3592, 1100, 14809, 4027, 593, 922, 1378, 543, 12346, 593, 513, 1283, 10359, 540, 14589, 610, 3282, 269, 634, 19552, 15098, 267, 2901, 538, 22670, 610, 13058, 3085, 1406, 2709, 1454, 811, 267, 4849, 602, 519, 26543, 2497, 540, 519, 15098, 11148, 547, 3180, 811, 540, 519, 1283, 10359, 982, 519, 3109, 12547, 563, 27860, 263, 274, 266, 264, 19552, 568, 606, 22803, 19552, 2348, 3171, 263, 274, 266, 264, 607, 519, 4831, 542, 269, 898, 568, 606, 4401, 7636, 11769, 543, 606, 22803, 19552, 269, 898, 3568, 606, 4401, 263, 274, 266, 1916, 28848, 1932, 1082, 3536, 5627, 9770, 19552, 21187, 666, 6318, 19552, 2157, 538, 519, 1560, 547, 606, 14432, 1377, 269, 5525, 723, 5532, 1164, 2157, 540, 19552, 609, 2175, 899, 2295, 2068, 267, 8519, 5642, 5860, 267, 16349, 10172, 267, 8459, 2152, 543, 1256, 2038, 2669, 630, 476, 278, 30155, 4942, 6664, 11501, 568, 513, 4105, 2030, 8770, 543, 922, 1292, 946, 1107, 3842, 19552, 7135, 1107, 568, 538, 519, 2504, 540, 18168, 269, 2560, 1912, 6664, 11501, 568, 1031, 538, 519, 5478, 540, 3106, 13292, 630, 1042, 16903, 1070, 7510, 4710, 1013, 923, 543, 1651, 754, 10706, 16115, 269, 1912, 6664, 11501, 568, 849, 1031, 538, 5374, 5478, 543, 538, 519, 2504, 540, 8485, 528, 19730, 563, 763, 4527, 540, 19552, 12274, 568, 8612, 676, 519, 5250, 540, 513, 6505, 5835, 10511, 10028, 4494, 540, 16139, 1756, 8485, 558, 8432, 321, 11845, 269, 634, 5920, 540, 519, 10511, 10028, 666, 581, 19658, 676, 9543, 8022, 269, 901, 1449, 568, 849, 1031, 547, 3713, 28227, 267, 513, 5835, 10511, 10028, 1373, 4646, 563, 20332, 11606, 1912, 6664, 11501, 568, 711, 1336, 9296, 321, 1441, 538, 2470, 267, 855, 568, 4922, 1336, 538, 7135, 538, 6886, 269, 1323, 1271, 2707, 568, 19552, 4224, 267, 799, 3568, 519, 3284, 520, 924, 6886, 543, 568, 1336, 538, 1804, 9424, 538, 519, 7330, 543, 11992, 563, 14937, 1912, 24043, 901, 15098, 7363, 568, 12457, 547, 3109, 538, 5920, 543, 2488, 7646, 14809, 4187, 269, 2560, 1912, 24043, 26088, 666, 581, 3819, 630, 7224, 3606, 13021, 518, 264, 610, 2022, 5701, 609, 513, 3819, 5214, 13021, 518, 267, 610, 22862, 609, 606, 3282, 799, 10607, 4187, 547, 14809, 543, 6971, 11508, 563, 313, 4532, 19552, 568, 5097, 1031, 585, 5862, 5910, 13015, 269, 2560, 9521, 13058, 19552, 267, 519, 1152, 3483, 540, 22670, 19552, 568, 585, 946, 609, 606, 3282, 15098, 585, 4859, 4027, 543, 19149, 640, 11320, 792, 4187, 563, 5415, 4481, 267, 543, 1034, 2500, 281, 8485, 7595, 3679, 269, 1912, 6664, 7595, 3679, 23465, 609, 4401, 630, 7656, 264, 12547, 547, 1106, 4401, 630, 7656, 264, 19552, 269, 634, 4401, 630, 7656, 264, 19552, 568, 1287, 3362, 28103, 5523, 610, 18233, 1055, 540, 519, 2627, 563, 2252, 621, 568, 513, 20024, 13058, 19552, 1310, 2182, 2287, 630, 328, 4318, 269, 689, 513, 4496, 1710, 8718, 1070, 1287, 6985, 545, 3679, 568, 519, 3070, 630, 577, 668, 545, 3679, 4174, 6137, 568, 519, 3044, 1505, 1031, 585, 15098, 2597, 2079, 1040, 589, 269, 634, 1655, 1259, 547, 14816, 13058, 19552, 568, 6985, 545, 3679, 3070, 563, 14937, 3819, 13665, 25336, 723, 513, 19552, 15098, 602, 568, 9277, 547, 1832, 519, 6632, 3819, 13665, 7623, 689, 4929, 519, 17684, 2212, 547, 15309, 269, 2560, 26023, 267, 789, 2461, 5921, 547, 8936, 3819, 13665, 547, 513, 11308, 7406, 543, 711, 547, 581, 3765, 4310, 585, 824, 5301, 563, 14937, 16959, 13665, 21115, 9749, 1912, 24043, 3819, 13665, 25336, 4122, 2097, 609, 513, 21432, 8142, 607, 789, 2461, 2356, 1031, 950, 3458, 9405, 3819, 13665, 883, 3574, 267, 799, 666, 7985, 811, 689, 14927, 543, 15309, 269, 18234, 3819, 13665, 25336, 616, 2356, 22862, 538, 13058, 267, 799, 849, 2488, 14809, 4187, 563, 14937, 7621, 728, 21115, 9749, 267, 12157, 1206, 267, 715, 7491, 543, 12984, 1667, 538, 32255, 13082, 269, 18391, 585, 4563, 32255, 13082, 10434, 2264, 286, 4563, 7621, 728, 16258, 22211, 1500, 689, 16243, 5374, 267, 630, 17141, 9344, 476, 1240, 268, 279, 610, 476, 19054, 264, 723, 1044, 26947, 5701, 547, 7369, 1978, 7907, 540, 519, 1570, 267, 1034, 16113, 519, 2681, 563, 763, 966, 18599, 21419, 1756, 7460, 294, 568, 519, 1655, 8121, 268, 1428, 30021, 15298, 1895, 602, 596, 2461, 2469, 547, 1265, 269, 898, 779, 14402, 982, 5374, 543, 6793, 982, 2901, 5374, 610, 11956, 269, 898, 779, 1312, 25080, 3487, 1834, 6184, 4624, 543, 4400, 6261, 21913, 4530, 539, 267, 1780, 1346, 543, 596, 2461, 519, 1655, 540, 519, 1655, 563, 763, 2474, 19552, 543, 16903, 666, 1611, 519, 1482, 3364, 538, 1449, 2164, 269, 1924, 707, 2164, 949, 1397, 16903, 2157, 2864, 982, 19552, 2157, 269, 1403, 707, 1449, 2982, 596, 723, 1164, 19552, 270, 874, 6664, 11501, 2157, 267, 621, 949, 1611, 596, 723, 281, 26640, 2068, 563, 763, 1184, 540, 8108, 22670, 19552, 15098, 568, 4122, 917, 607, 26436, 1944, 269, 2560, 631, 22462, 3150, 19552, 15098, 1683, 1434, 14809, 4187, 267, 2436, 513, 2022, 2389, 13015, 971, 607, 3282, 3498, 568, 547, 581, 1031, 610, 711, 267, 543, 616, 23223, 2406, 4294, 676, 519, 21599, 1505, 563, 313, 4532, 19552, 15098, 568, 10199, 7466, 607, 14809, 11259, 547, 3905, 1673, 5792, 27647, 1436, 267, 4352, 519, 2773, 5673, 593, 519, 15098, 11098, 269, 8895, 7079, 545, 14809, 568, 3361, 676, 18312, 6850, 23755, 30372, 538, 519, 1570, 950, 513, 1699, 2095, 563, 3528, 6476, 267, 13058, 19552, 5910, 13015, 14014, 6151, 5374, 2472, 689, 6070, 10936, 14809, 585, 476, 16020, 3108, 1256, 1510, 513, 13021, 518, 282, 585, 27647, 1242, 5374, 267, 13058, 19552, 2488, 607, 1454, 607, 476, 272, 267, 1822, 3108, 540, 4027, 563, 9827, 1634, 607, 2447, 4670, 610, 2447, 28291, 267, 1325, 617, 710, 10378, 568, 513, 6985, 622, 7503, 15098, 602, 14014, 11956, 543, 824, 8407, 689, 14809, 269, 2560, 26537, 622, 7503, 23541, 616, 513, 1826, 540, 3114, 7503, 15098, 269, 769, 3114, 7503, 23541, 267, 519, 4496, 25457, 513, 3114, 5114, 693, 519, 2627, 563, 3383, 950, 596, 2307, 827, 513, 476, 278, 2389, 1678, 1184, 585, 5910, 13015, 267, 596, 616, 4440, 6998, 827, 13058, 8485, 908, 269, 1677, 803, 519, 476, 278, 3268, 12926, 5921, 27653, 2973, 267, 27125, 267, 3679, 267, 27125, 267, 13058, 19552, 267, 27125, 267, 543, 669, 4435, 610, 669, 4435, 6954, 1780, 22899, 16702, 269, 1452, 2395, 513, 14192, 27125, 568, 3006, 1031, 3079, 540, 519, 1780, 22899, 16702, 563, 763, 2681, 540, 519, 13058, 19552, 15098, 6013, 1063, 1769, 543, 4158, 12457, 563, 300, 22462, 3150, 1912, 24043, 3213, 908, 15733, 543, 11906, 338, 2290, 16327, 9426, 1587, 585, 4401, 267, 5374, 543, 5641, 2694, 1031, 676, 1019, 6137, 1505, 269, 13689, 593, 946, 540, 11852, 267, 519, 15098, 2597, 568, 476, 1428, 1107, 476, 1839, 575, 8276, 273, 543, 519, 15098, 11098, 568, 476, 276, 1107, 476, 1839, 8020, 6425, 563, 4322, 23541, 786, 711, 1831, 4617, 952, 789, 616, 6534, 547, 1164, 5210, 269, 634, 1034, 1455, 5687, 657, 23293, 32340, 616, 7768, 540, 835, 610, 811, 540, 519, 1739, 759, 1231, 2433, 3134, 20293, 267, 4874, 6856, 267, 4874, 6856, 268, 675, 628, 2033, 267, 1035, 787, 17218, 563, 31640, 13058, 8485, 919, 616, 4294, 676, 1019, 6137, 610, 30574, 269, 898, 568, 849, 2009, 547, 4019, 873, 1210, 513, 3818, 22533, 9252, 10936, 1972, 1807, 269, 634, 5413, 540, 1019, 6137, 543, 10936, 3157, 568, 1852, 540, 26543, 2497, 543, 15098, 2597, 563, 303, 32535, 15098, 568, 513, 18138, 1184, 538, 799, 3819, 267, 1863, 1922, 27172, 267, 5687, 31129, 610, 5687, 657, 564, 8869, 1570, 568, 4294, 547, 513, 2627, 267, 24268, 267, 543, 2182, 2989, 883, 606, 1256, 15098, 269, 2560, 1703, 616, 1079, 1292, 2409, 540, 8869, 15098, 1765, 19491, 15543, 1738, 10936, 18254, 630, 2464, 291, 264, 543, 5714, 1242, 5127, 3498, 563, 2026, 513, 4341, 267, 16243, 5374, 3112, 581, 6707, 8485, 520, 1242, 269, 634, 4496, 568, 5594, 16091, 538, 8485, 520, 1944, 267, 865, 621, 4440, 568, 2953, 547, 2161, 621, 568, 968, 30956, 17475, 6100, 2560, 1703, 568, 1100, 3390, 538, 7206, 9399, 13688, 609, 513, 13058, 19552, 29194, 610, 513, 13058, 6985, 622, 29194, 282, 519, 9399, 786, 711, 581, 16091, 543, 519, 5862, 786, 4196, 1134, 269, 0, 12441, 596, 917, 602, 707, 5711, 9882, 568, 2404, 609, 707, 2949, 1072, 286, 1403, 596, 798, 711, 1416, 585, 707, 5023, 267, 596, 949, 581, 693, 1981, 540, 4057, 2949, 1072, 269, 11109, 1434, 5711, 9882, 568, 1898, 269, 1879, 596, 1589, 827, 875, 1271, 707, 4522, 616, 547, 707, 2702, 547, 3548, 267, 3717, 267, 543, 1514, 1125, 267, 621, 568, 1100, 4898, 707, 5959, 1072, 568, 5532, 547, 707, 1134, 5630, 269, 15526, 666, 4324, 689, 891, 5711, 9882, 4388, 563, 2252, 596, 1616, 547, 8430, 606, 13393, 609, 938, 8857, 1206, 23014, 11290, 267, 5225, 2285, 721, 513, 1289, 1318, 2476, 563, 27778, 5241, 2659, 29726, 22043, 569, 454, 2791, 949, 8263, 602, 2094, 596, 723, 1044, 17678, 707, 4522, 2094, 596, 666, 3314, 267, 596, 917, 875, 547, 798, 865, 5265, 269, 1717, 267, 3025, 666, 4324, 689, 17678, 909, 593, 741, 5694, 1962, 5241, 2553, 563, 2791, 2693, 2907, 917, 602, 596, 1058, 11453, 707, 4522, 7466, 3232, 269, 5696, 5241, 707, 4522, 1058, 1491, 1472, 1079, 3764, 267, 543, 7836, 827, 476, 1789, 7643, 538, 1142, 9076, 656, 540, 707, 5023, 568, 513, 1434, 23988, 563, 763, 5084, 288, 15565, 1210, 513, 2571, 1532, 2077, 1194, 28750, 543, 13868, 621, 1169, 1614, 3275, 269, 589, 9875, 28750, 666, 2014, 8628, 3441, 971, 607, 5694, 8417, 267, 973, 5338, 14779, 267, 543, 3441, 547, 707, 19596, 563, 2252, 596, 5469, 602, 707, 1490, 30178, 616, 535, 2001, 539, 267, 596, 616, 2693, 17678, 707, 4522, 1932, 2182, 269, 5696, 5241, 707, 4522, 543, 14779, 1932, 2182, 568, 1776, 1259, 596, 666, 2014, 8628, 3441, 563, 8196, 12071, 528, 728, 15733, 454, 31880, 528, 728, 568, 606, 1898, 851, 540, 707, 5711, 9882, 269, 12071, 528, 728, 568, 513, 6923, 9648, 7777, 602, 568, 5156, 547, 2061, 5959, 1286, 625, 269, 1411, 666, 1265, 621, 538, 14806, 573, 730, 1216, 267, 3536, 267, 543, 5959, 2472, 971, 607, 26025, 543, 5023, 31683, 563, 8253, 2348, 2614, 21973, 666, 2014, 5959, 1072, 2152, 269, 1284, 9244, 4363, 1210, 21973, 2472, 563, 7197, 1857, 1216, 2959, 538, 519, 2136, 2276, 616, 14806, 573, 730, 267, 865, 17678, 707, 4522, 609, 21973, 26025, 1210, 14806, 573, 730, 1216, 666, 948, 596, 1205, 519, 2640, 540, 713, 7777, 563, 2791, 666, 849, 1118, 2386, 596, 3548, 3536, 602, 616, 1164, 538, 21973, 269, 3417, 513, 2635, 2179, 540, 3536, 971, 607, 8970, 267, 27046, 22596, 267, 27574, 20544, 267, 678, 1380, 564, 12277, 267, 32119, 10381, 267, 543, 607, 32651, 547, 1205, 21973, 538, 707, 2732, 563, 8269, 518, 547, 519, 1592, 540, 3536, 543, 10425, 609, 21973, 3177, 676, 519, 2817, 23941, 540, 2657, 547, 1265, 856, 875, 547, 6830, 1518, 707, 2732, 563, 1692, 547, 4469, 1601, 454, 14503, 1601, 532, 568, 2629, 547, 9427, 1426, 5536, 543, 15799, 689, 1063, 707, 4522, 269, 1411, 666, 3335, 723, 513, 2635, 5959, 1416, 6296, 1141, 596, 19568, 2899, 3232, 269, 6884, 596, 1590, 19568, 1310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 13970, 269, 23030, 10326, 5403, 4650, 3004, 951, 531, 692, 11693, 513, 9352, 3529, 267, 2132, 519, 1109, 14006, 4650, 1109, 10177, 951, 531, 540, 922, 9136, 262, 2418, 780, 2690, 1383, 912, 11693, 9352, 3529, 1109, 346, 272, 267, 258, 267, 273, 267, 274, 9574, 692, 567, 476, 272, 454, 315, 454, 273, 454, 13045, 274, 7531, 8873, 1109, 314, 274, 267, 273, 267, 272, 316, 780, 9616, 281, 1109, 13434, 27641, 3070, 568, 24735, 267, 1223, 596, 798, 621, 12055, 8271, 2496, 270, 12533, 265, 9502, 585, 513, 9352, 3529, 6843, 563, 265, 1785, 30741, 13634, 265, 672, 703, 1130, 3248, 265, 672, 30741, 2608, 3847, 3248, 265, 672, 30741, 2608, 2431, 3248, 265, 672, 30741, 17301, 1535, 264, 2433, 1130, 3287, 1070, 2451, 18217, 26097, 1070, 1318, 18217, 26097, 264, 31460, 265, 7684, 3248, 265, 13045, 5035, 8827, 13634, 21504, 912, 19066, 283, 842, 285, 2022, 4650, 9199, 951, 531, 263, 21698, 11966, 265, 3597, 264, 13634, 560, 1192, 30741, 14503, 698, 19127, 21698, 11966, 265, 6843, 3248, 321, 944, 9206, 3248, 21698, 11966, 14503, 698, 263, 21698, 11966, 265, 1535, 264, 2433, 27161, 3287, 1070, 9206, 6600, 4426, 264, 346, 8679, 348, 3248, 19066, 283, 842, 285, 759, 3248, 23637, 283, 21698, 11966, 14503, 698, 2608, 285, 7793, 871, 3248, 21698, 11966, 14503, 698, 265, 533, 815, 1007, 30741, 14503, 698, 20172, 11850, 604, 630, 335, 15010, 27161, 264, 19127, 3240, 23637, 4877, 2313, 9638, 11850, 6112, 630, 335, 15010, 27161, 15010, 3847, 264, 19127, 335, 815, 1007, 30741, 14503, 698, 9638, 15010, 27161, 15010, 3847, 11850, 3240, 23637, 4877, 2313, 9638, 11850, 8679, 6112, 630, 335, 15010, 27161, 15010, 2431, 264, 19127, 335, 15010, 4148, 698, 815, 3020, 3248, 335, 815, 1007, 30741, 14503, 698, 9638, 15010, 27161, 15010, 2431, 11850, 3240, 23637, 4877, 2313, 9638, 11850, 6112, 630, 335, 15010, 27161, 15010, 3847, 264, 19127, 335, 815, 1007, 30741, 14503, 698, 9638, 15010, 27161, 15010, 3847, 11850, 3240, 23637, 4877, 2313, 9638, 11850, 8679, 8679, 10926, 6112, 630, 256, 3240, 23637, 269, 24105, 28829, 19127, 21698, 11966, 14503, 698, 265, 512, 815, 7793, 871, 6745, 641, 3890, 3248, 604, 630, 339, 15010, 4148, 698, 2652, 3020, 13466, 512, 15010, 27161, 15010, 2431, 2652, 715, 26097, 264, 19127, 637, 4877, 2313, 318, 3724, 6025, 15010, 27161, 15010, 1998, 11850, 3240, 23637, 21014, 3890, 3248, 8679, 12828, 19127, 6112, 630, 339, 15010, 27161, 15010, 2431, 264, 19127, 339, 15010, 4148, 698, 815, 3020, 3248, 339, 815, 1007, 30741, 14503, 698, 6025, 15010, 27161, 15010, 2431, 11850, 3240, 23637, 4877, 2313, 6025, 11850, 6112, 630, 339, 15010, 27161, 15010, 3847, 264, 19127, 339, 815, 1007, 30741, 14503, 698, 6025, 15010, 27161, 15010, 3847, 11850, 3240, 23637, 4877, 2313, 6025, 11850, 8679, 8679, 8679, 8679, 8873, 759, 3248, 8679, 348, 16963, 4905, 268, 1626, 476, 4343, 278, 273, 692, 4962, 268, 1839, 476, 6872, 274, 275, 692, 5881, 268, 6021, 476, 9083, 273, 692, 4962, 268, 2537, 476, 11820, 277, 692, 6187, 268, 6349, 476, 4037, 273, 692, 6860, 268, 2190, 476, 272, 269, 273, 4970, 485, 692, 5400, 268, 6021, 476, 27149, 276, 692, 1321, 268, 6021, 476, 10441, 274, 692, 6860, 268, 2764, 476, 279, 736, 692, 1321, 268, 6860, 476, 6858, 274, 0, 10112, 18620, 11762, 13466, 3220, 269, 4569, 5851, 13466, 9612, 3220, 269, 4569, 692, 2162, 8641, 532, 519, 18104, 10025, 13478, 13645, 17848, 540, 513, 9577, 692, 3499, 14630, 281, 476, 5881, 270, 2918, 270, 1220, 273, 693, 476, 6021, 281, 3953, 281, 3451, 454, 5804, 281, 12253, 7935, 560, 514, 454, 20428, 281, 12559, 1871, 4882, 13645, 3597, 540, 3252, 692, 4692, 596, 9414, 543, 1865, 875, 2921, 519, 6207, 1871, 610, 519, 454, 338, 13645, 3597, 540, 513, 1599, 5540, 519, 3113, 540, 519, 1599, 2496, 12552, 585, 519, 948, 2336, 7884, 8199, 14630, 281, 476, 5881, 270, 2918, 270, 1220, 273, 693, 476, 1724, 281, 6860, 281, 4366, 454, 5804, 281, 16362, 8891, 3205, 454, 20428, 281, 1234, 281, 12559, 1871, 4882, 13645, 3597, 540, 3252, 692, 17098, 267, 12253, 780, 13914, 827, 1018, 519, 6207, 1871, 1281, 547, 513, 1297, 269, 1403, 519, 1297, 568, 454, 27168, 267, 922, 6207, 1871, 568, 519, 1297, 3294, 281, 519, 6207, 1871, 454, 10818, 1281, 711, 1689, 621, 269, 1403, 519, 1297, 568, 2942, 267, 922, 6207, 454, 7407, 568, 519, 2942, 540, 519, 1297, 630, 6518, 568, 2318, 2567, 519, 6207, 454, 7407, 1599, 9356, 519, 1297, 538, 519, 5169, 267, 11488, 621, 547, 519, 454, 4812, 519, 1482, 3845, 2476, 855, 593, 519, 6587, 2427, 780, 3383, 1018, 4523, 952, 596, 1491, 519, 6207, 1871, 540, 513, 1599, 286, 7316, 591, 454, 1492, 1599, 568, 2318, 630, 528, 4642, 1070, 519, 3113, 13978, 1318, 1141, 621, 454, 13195, 269, 7316, 591, 519, 1599, 568, 2942, 267, 519, 3113, 568, 10630, 909, 936, 454, 1492, 1535, 14289, 267, 865, 602, 922, 586, 11282, 568, 2318, 2864, 982, 2942, 1384, 347, 8587, 31233, 23526, 1923, 8587, 6449, 29390, 347, 567, 6449, 270, 567, 1422, 17264, 1341, 567, 6449, 270, 567, 1422, 567, 1315, 454, 347, 476, 1315, 11434, 1422, 2018, 1923, 315, 1315, 11434, 1422, 1315, 454, 266, 268, 266, 1366, 268, 266, 734, 476, 476, 955, 285, 476, 1341, 268, 266, 1366, 268, 266, 734, 454, 347, 270, 19930, 1422, 16875, 11406, 266, 17264, 1422, 1363, 11406, 347, 4449, 11434, 1923, 692, 3086, 875, 827, 519, 4009, 3597, 286, 769, 713, 2013, 267, 952, 535, 3287, 264, 568, 2942, 267, 922, 454, 338, 13645, 3597, 1281, 711, 2291, 630, 26238, 649, 616, 27229, 6158, 827, 1483, 454, 325, 17313, 1040, 1411, 666, 1175, 32135, 602, 851, 540, 519, 3113, 256, 1403, 535, 3287, 264, 568, 454, 27168, 267, 519, 4009, 3597, 786, 23601, 621, 610, 12701, 621, 19794, 2676, 24119, 2056, 593, 922, 1871, 269, 6733, 693, 519, 3113, 540, 586, 284, 6912, 3287, 1070, 3379, 609, 454, 1492, 3113, 540, 586, 24210, 269, 1411, 786, 1294, 602, 952, 1535, 283, 272, 267, 21762, 3287, 264, 568, 3677, 267, 1247, 454, 15290, 1535, 285, 272, 267, 21762, 3287, 264, 568, 4130, 269, 1924, 950, 535, 3287, 264, 283, 272, 267, 21762, 6600, 3287, 4297, 786, 581, 454, 629, 913, 535, 3287, 1070, 543, 950, 535, 3287, 264, 285, 272, 267, 21762, 6600, 3287, 4297, 786, 581, 2630, 535, 3287, 17107, 347, 8587, 31233, 23526, 1923, 8587, 6449, 29390, 272, 266, 567, 6449, 270, 567, 1422, 2018, 476, 272, 266, 567, 6449, 270, 567, 26444, 347, 476, 1315, 11434, 1422, 2018, 1923, 476, 1315, 11434, 26444, 266, 268, 266, 1366, 268, 266, 734, 476, 476, 955, 285, 476, 1341, 268, 266, 1366, 268, 266, 734, 454, 347, 270, 19930, 1422, 16875, 11406, 266, 17264, 1422, 1363, 11406, 347, 4449, 11434, 1923, 692, 296, 666, 1405, 1205, 2614, 1469, 538, 1250, 3113, 547, 1397, 519, 15198, 269, 1809, 596, 454, 4754, 2322, 513, 12297, 593, 519, 3113, 1141, 535, 3287, 6661, 272, 267, 865, 519, 3113, 540, 519, 4009, 454, 10174, 786, 979, 998, 602, 1448, 282, 1287, 596, 666, 2112, 335, 519, 2016, 3113, 454, 1575, 1189, 1141, 621, 568, 2630, 586, 284, 272, 543, 18746, 1141, 621, 568, 1657, 586, 284, 272, 269, 634, 454, 701, 6545, 543, 23898, 540, 519, 1007, 3113, 786, 9114, 693, 519, 1482, 1535, 10974, 454, 553, 538, 519, 3312, 3113, 267, 855, 786, 581, 693, 1114, 15627, 780, 2252, 596, 723, 1022, 2417, 2055, 267, 1745, 1863, 547, 2328, 1394, 780, 268, 16362, 8891, 3205, 267, 634, 4569, 17072, 454, 10674, 2517, 4118, 1721, 636, 3820, 7933, 337, 269, 4118, 13045, 8199, 10112, 18620, 11762, 912, 11947, 3427, 12307, 267, 28977, 267, 25927, 725, 454, 11947, 3427, 12793, 692, 15507, 519, 3220, 269, 4569, 7732, 1384, 4855, 3688, 5627, 630, 1584, 5624, 1063, 17161, 2567, 5231, 8437, 1152, 2899, 585, 5488, 2164, 281, 1496, 7994, 834, 3369, 1961, 1913, 257, 950, 10478, 585, 513, 2262, 899, 2085, 20426, 782, 17161, 267, 538, 1022, 1931, 693, 2547, 835, 267, 602, 3169, 8360, 2694, 540, 1913, 2898, 1913, 692, 8138, 2466, 707, 1378, 2243, 547, 3220, 269, 4569, 454, 13043, 17072, 5851, 13466, 4569, 7732, 13466, 16797, 13129, 13466, 4569, 17072, 9612, 0, 258, 844, 525, 284, 286, 306, 514, 547, 519, 1379, 274, 263, 273, 343, 266, 272, 264, 15848, 1284, 917, 5609, 547, 519, 1379, 476, 274, 589, 284, 630, 274, 7562, 288, 1606, 514, 274, 288, 8358, 275, 1924, 16429, 547, 519, 1379, 274, 263, 273, 343, 266, 272, 264, 815, 630, 274, 7562, 263, 273, 343, 266, 272, 9984, 7562, 274, 263, 273, 343, 266, 272, 4297, 270, 275, 18092, 7790, 263, 274, 7562, 263, 273, 343, 266, 272, 9984, 7562, 274, 263, 273, 343, 266, 272, 4297, 270, 275, 15848, 18092, 7790, 263, 274, 7562, 263, 273, 343, 266, 272, 9984, 7562, 263, 277, 343, 266, 274, 4297, 270, 275, 15848, 18092, 476, 272, 270, 275, 7790, 263, 274, 7562, 263, 273, 343, 266, 272, 9984, 7562, 263, 277, 343, 266, 274, 4297, 11459, 18092, 476, 272, 270, 275, 11196, 274, 270, 273, 5430, 263, 273, 343, 266, 272, 11924, 476, 272, 270, 277, 5430, 263, 277, 343, 266, 274, 4297, 1341, 290, 18092, 476, 272, 270, 275, 630, 272, 270, 277, 5430, 263, 277, 343, 266, 274, 264, 910, 274, 270, 273, 5430, 263, 273, 343, 266, 272, 4297, 1341, 290, 666, 1405, 649, 4194, 519, 844, 525, 607, 1657, 3079, 540, 607, 596, 723, 12193, 538, 562, 32662, 1837, 1151, 15301, 2750, 284, 278, 269, 274, 267, 1627, 268, 275, 2020, 2162, 5775, 26833, 676, 1109, 1923, 476, 274, 6113, 4455, 267, 476, 1001, 275, 267, 476, 1321, 281, 6795, 281, 6751, 692, 5226, 7685, 4280, 593, 10732, 1299, 1310, 476, 278, 10975, 689, 11728, 547, 14349, 786, 581, 12943, 1310, 476, 1321, 10975, 519, 1985, 2324, 1554, 780, 2162, 29898, 19419, 5495, 13612, 2464, 692, 3918, 294, 8780, 2207, 3633, 5508, 293, 21201, 2433, 3689, 4469, 3233, 267, 7276, 13216, 267, 476, 29300, 7354, 777, 10620, 645, 777, 520, 12540, 267, 13722, 623, 28328, 267, 29180, 910, 476, 6110, 25320, 267, 26527, 30773, 3127, 269, 0, 258, 4569, 692, 2237, 519, 1101, 25066, 1599, 538, 2474, 540, 519, 2034, 585, 16564, 538, 519, 2016, 9076, 656, 780, 11927, 263, 15184, 1070, 5430, 263, 15184, 5148, 16564, 538, 21408, 656, 10001, 692, 296, 3494, 547, 1376, 713, 568, 476, 272, 270, 6523, 317, 273, 265, 9064, 269, 2549, 594, 2328, 286, 1403, 711, 267, 666, 596, 5225, 948, 803, 31841, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 277, 4029, 454, 272, 269, 5609, 23940, 815, 1341, 10758, 910, 13483, 10174, 630, 476, 272, 910, 5430, 9745, 476, 273, 23940, 25589, 11927, 23940, 815, 5609, 23940, 1315, 5430, 23940, 692, 11927, 23940, 815, 1341, 10758, 910, 13483, 10174, 630, 476, 272, 910, 5430, 9745, 476, 273, 23940, 3738, 1315, 5430, 23940, 692, 1103, 21408, 656, 10001, 17242, 616, 2942, 865, 23241, 11927, 23940, 815, 910, 13483, 10174, 630, 476, 272, 910, 5430, 9745, 476, 273, 519, 1092, 3738, 1315, 5430, 23940, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 11810, 692, 320, 1318, 6906, 568, 4646, 538, 519, 1101, 9076, 656, 676, 519, 1535, 268, 543, 586, 268, 17887, 543, 513, 1899, 998, 519, 1448, 630, 272, 267, 273, 1040, 2328, 519, 3259, 540, 519, 30494, 607, 513, 1599, 540, 1535, 269, 1265, 519, 14622, 540, 519, 6906, 971, 602, 922, 1858, 568, 513, 5934, 780, 273, 269, 12693, 12430, 12793, 692, 2252, 544, 2999, 476, 271, 543, 536, 3436, 476, 271, 267, 519, 3113, 540, 586, 815, 544, 343, 1341, 536, 1281, 711, 1780, 998, 799, 9076, 656, 286, 21408, 656, 594, 21408, 656, 4083, 21408, 656, 8633, 21408, 656, 10001, 692, 274, 269, 12693, 2776, 4211, 531, 322, 692, 296, 993, 2731, 10010, 609, 875, 547, 798, 891, 2042, 267, 594, 11540, 873, 513, 1906, 3764, 3516, 855, 519, 4267, 270, 1740, 3254, 729, 11234, 269, 476, 272, 264, 513, 264, 2422, 606, 18827, 610, 25513, 16754, 547, 2328, 519, 4082, 607, 513, 25066, 1599, 540, 692, 275, 269, 12693, 4645, 692, 31095, 3813, 23940, 538, 2474, 540, 5609, 23940, 950, 23940, 6013, 538, 9076, 656, 8633 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1535, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 267, 476, 4968, 994, 825, 586, 272, 815, 1535, 2878, 476, 273, 454, 825, 586, 273, 815, 630, 343, 910, 476, 273, 264, 2878, 476, 273, 454, 825, 12301, 19502, 3287, 267, 586, 272, 267, 2681, 6889, 337, 5602, 825, 12301, 19502, 3287, 267, 586, 273, 267, 2681, 6889, 330, 2580, 13274, 5598, 6889, 734, 5602, 825, 12301, 20481, 4590, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 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, 667, 10631, 5071, 543, 20233, 719, 692, 8702, 547, 938, 1576, 1770, 593, 13811, 1374, 543, 11768, 256, 901, 1770, 786, 4001, 596, 782, 827, 875, 2011, 12599, 998, 5656, 547, 1832, 873, 3579, 543, 6899, 269, 1411, 3513, 1451, 827, 519, 1114, 2694, 602, 1118, 909, 606, 2011, 14555, 1062, 543, 875, 547, 1374, 543, 6582, 1346, 2694, 585, 6099, 2773, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 3513, 723, 513, 4396, 1620, 540, 875, 8030, 543, 23390, 960, 1927, 547, 1711, 1949, 602, 948, 721, 3251, 6899, 538, 3905, 4365, 780, 4131, 781, 1376, 676, 6158, 827, 1018, 513, 13811, 568, 269, 589, 13811, 568, 513, 8546, 610, 8756, 1031, 547, 4163, 2011, 689, 835, 1747, 547, 1776, 269, 769, 519, 2796, 540, 8022, 267, 14910, 267, 543, 2011, 14555, 630, 295, 309, 3722, 1070, 28954, 616, 1031, 547, 15814, 22799, 610, 12699, 2011, 2429, 513, 2679, 269, 1358, 666, 581, 1500, 856, 540, 1082, 1114, 2326, 267, 1519, 4496, 267, 4017, 1120, 20199, 267, 543, 5068, 780, 3086, 1577, 781, 2911, 827, 1946, 13811, 1374, 543, 11768, 616, 865, 1271, 269, 1879, 8888, 606, 25256, 1062, 267, 621, 781, 2629, 547, 2015, 2188, 899, 519, 2450, 543, 3337, 540, 519, 2230, 1373, 22799, 267, 519, 4087, 540, 642, 757, 543, 27861, 267, 543, 519, 2949, 4398, 540, 519, 1062, 269, 1403, 519, 13811, 1740, 3884, 1405, 2966, 5265, 267, 621, 666, 1291, 547, 2042, 899, 4057, 11255, 2011, 2298, 267, 19514, 2837, 3892, 267, 543, 2362, 1648, 3790, 269, 2334, 781, 1946, 621, 781, 1898, 547, 1174, 519, 9238, 540, 13811, 1374, 543, 11768, 780, 2691, 8888, 13811, 1740, 267, 972, 616, 1896, 1883, 2188, 547, 2015, 269, 3689, 267, 596, 991, 547, 1589, 827, 519, 2450, 540, 519, 28954, 269, 634, 8006, 540, 519, 28954, 5540, 875, 1454, 2011, 789, 666, 1847, 267, 865, 7446, 519, 1318, 2450, 568, 2565, 269, 18320, 1507, 267, 543, 519, 1062, 4465, 1405, 581, 2111, 547, 5838, 2614, 22799, 2011, 547, 2226, 513, 6899, 2837, 269, 18320, 1804, 267, 543, 519, 1062, 786, 3653, 1648, 543, 2724, 780, 5194, 3815, 547, 2015, 950, 8888, 13811, 1740, 568, 519, 3337, 540, 519, 28954, 269, 18471, 28954, 616, 3622, 811, 3608, 982, 14328, 3283, 1317, 789, 2709, 1447, 4187, 547, 25312, 269, 1717, 267, 14328, 28954, 949, 581, 2556, 538, 1978, 3871, 1813, 547, 2230, 10148, 780, 5629, 596, 4312, 5462, 519, 2450, 543, 3337, 540, 707, 28954, 267, 621, 781, 942, 547, 1589, 827, 741, 11768, 269, 7743, 569, 25786, 519, 13811, 1740, 5849, 602, 22799, 2011, 10301, 1169, 7944, 540, 519, 2679, 14961, 269, 898, 849, 2337, 2569, 6846, 2157, 543, 2087, 2949, 1062, 4398, 269, 1677, 9585, 713, 267, 8030, 1419, 946, 2780, 13502, 547, 1449, 1585, 19383, 1354, 16459, 1022, 2168, 13811, 1740, 780, 2414, 2285, 596, 606, 2856, 540, 875, 713, 1568, 267, 4952, 596, 2811, 3843, 547, 3579, 513, 1279, 267, 7522, 4928, 269, 2290, 4781, 1131, 581, 547, 2196, 513, 2582, 13811, 1524, 519, 4099, 540, 519, 4055, 269, 1809, 713, 1522, 1267, 538, 19514, 9023, 267, 609, 930, 2127, 3478, 1932, 1454, 2011, 1247, 1866, 1810, 1405, 1205, 2614, 269, 5502, 267, 596, 1223, 7941, 519, 4055, 883, 10851, 543, 2196, 5094, 28954, 547, 1142, 7997, 269, 901, 1259, 267, 596, 666, 4188, 519, 2179, 540, 22799, 2011, 2469, 547, 1142, 1858, 10446, 267, 4180, 5812, 5210, 2429, 519, 4055, 780, 1103, 5758, 267, 13811, 1374, 543, 11768, 1404, 513, 4105, 1909, 538, 4509, 6899, 11255, 5054, 1247, 10893, 1648, 6165, 269, 19296, 1590, 5402, 2015, 2188, 971, 607, 13811, 2450, 267, 3337, 267, 543, 11460, 547, 2327, 6099, 2773, 269, 4197, 891, 3741, 666, 948, 596, 5660, 519, 1950, 1949, 602, 3565, 547, 2413, 1272, 543, 8300, 7279, 827, 1761, 11678, 538, 2029, 543, 4702, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30262, 1168, 269, 6052, 30287, 269, 9815, 563, 24127, 476, 278, 267, 476, 1708, 273, 454, 31871, 540, 2985, 4433, 10534, 1626, 2008, 347, 13775, 2228, 1475, 6349, 4864, 476, 1708, 273, 2008, 27879, 633, 9023, 2553, 585, 14910, 281, 606, 8242, 2689, 454, 2704, 6363, 584, 520, 1325, 5025, 9749, 520, 14502, 2160, 267, 715, 1690, 2378, 267, 12925, 454, 273, 9891, 6052, 3194, 4659, 267, 10713, 16951, 3223, 321, 836, 21542, 534, 17111, 476, 275, 3607, 876, 267, 10854, 328, 267, 17286, 836, 528, 267, 17111, 454, 274, 7177, 4972, 267, 1977, 2160, 540, 12925, 267, 590, 592, 2727, 8643, 267, 918, 6324, 6017, 16323, 267, 590, 592, 2727, 8643, 267, 12925, 454, 275, 4972, 540, 20996, 7177, 5303, 267, 25463, 25975, 11633, 5441, 267, 25463, 25975, 1325, 4149, 2088, 12011, 1695, 476, 275, 866, 1321, 267, 8003, 540, 18142, 17936, 454, 265, 552, 17733, 281, 4757, 11333, 2593, 454, 3725, 18727, 538, 3803, 1106, 281, 476, 1321, 5147, 476, 1708, 273, 454, 10907, 1061, 539, 281, 476, 1724, 5147, 476, 1708, 273, 454, 763, 4616, 540, 1648, 585, 9023, 568, 606, 1271, 3390, 267, 2523, 538, 31210, 16374, 1141, 972, 616, 1164, 5210, 543, 3819, 4365, 538, 519, 4832, 282, 713, 2916, 4229, 21427, 547, 946, 7344, 3887, 10431, 9023, 543, 14910, 269, 634, 1292, 5413, 540, 12809, 9023, 568, 547, 7413, 1648, 7569, 799, 616, 2838, 547, 3035, 8143, 4313, 538, 1628, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 10631, 5071, 543, 20233, 719, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 14716, 1315, 1261, 908, 267, 20764, 7976, 1299, 5794, 16448, 532, 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, 5629, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 9589, 13442, 3957, 744, 961, 773, 2107, 326, 11047, 269, 744, 961, 773, 5030, 538, 513, 4190, 4677, 4904, 609, 5810, 267, 4054, 267, 543, 5613, 540, 782, 5546, 543, 7306, 269, 5272, 1554, 267, 744, 961, 773, 1131, 8038, 1472, 519, 4677, 267, 10825, 7772, 543, 8788, 16382, 789, 4682, 780, 3080, 1554, 267, 1247, 10760, 998, 519, 4677, 267, 744, 961, 773, 3357, 2066, 1079, 1762, 2828, 267, 27385, 6129, 17810, 543, 8891, 5674, 3212, 778, 269, 1358, 941, 4730, 1927, 2282, 513, 31394, 6908, 950, 10393, 267, 789, 8068, 1945, 9490, 8345, 3330, 873, 780, 306, 20632, 1767, 267, 834, 30821, 5674, 267, 594, 1745, 16168, 3330, 1250, 6084, 3240, 256, 898, 781, 899, 18616, 616, 8743, 1782, 803, 15323, 30821, 5674, 21330, 267, 834, 9288, 1932, 267, 27385, 256, 1809, 621, 7959, 1434, 1932, 15323, 302, 961, 773, 23986, 731, 741, 6643, 543, 4956, 547, 948, 873, 1174, 1018, 729, 8345, 269, 2060, 513, 3636, 12837, 267, 744, 961, 773, 6045, 267, 834, 15916, 267, 15210, 2828, 256, 1548, 596, 2811, 4743, 1318, 1631, 568, 1572, 10761, 610, 26901, 531, 269, 901, 4523, 950, 707, 1560, 4991, 4712, 585, 1404, 5503, 609, 2576, 2027, 3010, 10501, 1190, 267, 27385, 4280, 267, 834, 25440, 5503, 286, 5808, 798, 649, 1404, 609, 12482, 257, 11039, 2437, 12943, 744, 961, 773, 267, 834, 2691, 596, 1332, 909, 267, 3006, 1004, 945, 2648, 1142, 824, 1616, 547, 581, 3063, 2673, 269, 1656, 713, 666, 1118, 1346, 6126, 4606, 1256, 6793, 269, 2334, 781, 1946, 621, 781, 1271, 547, 2141, 2911, 547, 2576, 6738, 5346, 596, 3972, 1354, 3257, 4376, 1007, 3010, 30821, 5674, 9289, 16965, 267, 834, 1692, 1281, 938, 1560, 917, 950, 621, 781, 942, 547, 1205, 9599, 12482, 257, 15124, 2243, 2437, 14452, 744, 961, 773, 269, 834, 7312, 2634, 15920, 6835, 2429, 707, 1560, 267, 8600, 3388, 585, 930, 1187, 269, 1280, 1383, 267, 1973, 8928, 5488, 547, 1978, 2694, 540, 707, 1560, 267, 1818, 873, 811, 6213, 269, 2659, 2295, 1522, 10726, 513, 2370, 18334, 1932, 15323, 3086, 27278, 267, 27385, 4941, 547, 1451, 811, 269, 2701, 4280, 267, 834, 4692, 3025, 1995, 891, 3078, 4606, 12482, 257, 8133, 267, 8197, 256, 1717, 267, 1175, 607, 1169, 8768, 814, 922, 2189, 3337, 543, 2681, 267, 865, 1281, 3025, 781, 1560, 2746, 8335, 269, 2368, 949, 1491, 3476, 982, 1866, 267, 855, 602, 781, 15502, 269, 11408, 3314, 602, 1373, 3461, 543, 2186, 2509, 3054, 568, 1898, 3010, 30342, 17212, 1386, 267, 8891, 5674, 3838, 1010, 4555, 267, 834, 296, 1589, 594, 1174, 267, 744, 961, 773, 269, 1924, 875, 798, 649, 2972, 891, 4606, 9108, 12482, 4415, 9543, 7326, 267, 744, 961, 773, 15695, 267, 834, 20058, 267, 2141, 6432, 547, 707, 1378, 1560, 543, 2760, 3196, 4376, 602, 3085, 1405, 1745, 6899, 269, 19627, 267, 3442, 2576, 945, 30128, 7184, 585, 596, 267, 24947, 596, 267, 543, 7247, 596, 3972, 4625, 269, 14936, 267, 1810, 1405, 7340, 547, 2307, 585, 741, 10479, 1354, 3257, 4376, 15982, 269, 21727, 532, 6302, 2306, 1312, 12271, 18668, 3010, 2026, 519, 3141, 3459, 4259, 267, 744, 961, 773, 5423, 547, 4734, 269, 6969, 6028, 267, 789, 5828, 547, 27385, 543, 8891, 5674, 835, 2063, 942, 267, 6031, 267, 834, 8855, 267, 3020, 9059, 2501, 689, 1620, 6000, 543, 8156, 1866, 609, 11587, 543, 8296, 3010, 4517, 865, 267, 11439, 609, 7279, 543, 6568, 267, 27385, 6129, 17810, 543, 8891, 5674, 3212, 778, 4797, 3395, 538, 519, 22539, 4677, 267, 23362, 32261, 519, 13300, 540, 15296, 1247, 10027, 5109, 741, 19806, 4040, 11505, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4462, 24286, 519, 31981, 547, 9650, 5174, 27172, 2107, 326, 553, 916, 281, 589, 6651, 547, 20351, 20167, 5501, 543, 2657, 454, 268, 9502, 543, 4644, 540, 2247, 1532, 27172, 610, 326, 553, 916, 454, 268, 11957, 540, 4638, 12257, 543, 9547, 585, 2949, 1072, 454, 268, 11790, 18748, 532, 9650, 5174, 27172, 2107, 326, 553, 916, 454, 268, 8447, 2188, 454, 268, 4197, 519, 1909, 540, 4638, 14169, 454, 268, 8177, 540, 17441, 3666, 593, 610, 326, 553, 6193, 2833, 454, 268, 16723, 2188, 454, 268, 634, 1909, 540, 2790, 543, 3929, 1134, 5630, 454, 268, 18601, 2566, 543, 4160, 585, 1732, 4638, 2833, 454, 268, 9669, 585, 19793, 1324, 9650, 5174, 27172, 2107, 326, 553, 916, 454, 268, 9442, 543, 9844, 538, 4638, 3347, 454, 268, 10289, 1367, 7375, 543, 6720, 553, 625, 454, 268, 31514, 2062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3830, 568, 630, 343, 1341, 476, 277, 264, 476, 273, 1341, 630, 344, 476, 278, 264, 476, 273, 815, 476, 272, 589, 269, 630, 277, 267, 476, 278, 1040, 630, 277, 267, 476, 278, 264, 595, 269, 630, 476, 277, 267, 476, 278, 264, 667, 269, 630, 476, 277, 267, 476, 278, 264, 476, 2420, 269, 17781, 744, 568, 27485, 538, 29105, 589, 7374, 269, 589, 815, 476, 1321, 543, 7131, 815, 4855, 519, 15943, 540, 29105, 589, 7374, 269, 476, 277, 595, 667, 16387, 476, 16825, 589, 692, 5392, 10819, 476, 272, 268, 275, 3277, 547, 5149, 476, 1015, 8018, 20211, 267, 6239, 27449, 267, 543, 932, 3581, 744, 269, 4855, 519, 2268, 540, 1142, 9095, 269, 476, 272, 269, 815, 476, 273, 269, 815, 476, 274, 269, 815, 476, 275, 269, 815, 4855, 519, 1871, 540, 1535, 269, 3962, 5086, 3254, 568, 513, 3844, 5086, 1535, 815, 1535, 815, 1535, 815, 476, 279, 269, 2311, 476, 1015, 522, 9219, 519, 3946, 540, 513, 9219, 1106, 606, 5086, 540, 269, 476, 280, 269, 2311, 5722, 522, 9219, 519, 3946, 540, 513, 9219, 1106, 606, 5086, 540, 269, 476, 1015, 269, 1403, 519, 3946, 540, 513, 9219, 1106, 606, 5086, 540, 476, 1789, 267, 519, 942, 568, 522, 9219, 269, 769, 2042, 476, 1556, 476, 1626, 267, 568, 513, 8006, 540, 744, 269, 476, 1556, 269, 661, 815, 476, 1321, 269, 744, 815, 476, 1724, 269, 815, 476, 1691, 269, 815, 476, 1428, 269, 815, 476, 1626, 269, 16692, 815, 13159, 519, 1739, 281, 476, 1704, 269, 589, 815, 476, 279, 267, 7131, 815, 476, 280, 11581, 815, 476, 1240, 269, 31254, 815, 476, 866, 269, 654, 312, 815, 476, 736, 269, 7131, 815, 16387, 476, 14983, 692, 2004, 5149, 476, 1015, 19449, 3380, 1299, 7981, 9406, 10222, 9201, 476, 272, 269, 4855, 589, 476, 273, 269, 4855, 589, 476, 274, 269, 568, 17242, 547, 589, 595, 595, 4855, 589, 476, 276, 589, 589, 476, 275, 269, 4855, 519, 1871, 540, 1535, 267, 586, 267, 543, 476, 276, 269, 744, 307, 815, 476, 280, 267, 19954, 815, 476, 1240, 267, 476, 277, 269, 815, 476, 3445, 543, 2473, 313, 815, 476, 1724, 4855, 10758, 4855, 2473, 312, 476, 278, 269, 4855, 808, 298, 476, 279, 269, 4855, 30838, 543, 29486, 476, 280, 269, 4855, 476, 1015, 269, 4855, 476, 1556, 269, 4855, 918, 543, 476, 1321, 269, 4855, 24639, 543, 16387, 476, 5611, 692, 2162, 5403, 12885, 267, 11933, 916, 267, 543, 4856, 3326, 2456, 269, 3848, 476, 272, 692, 6637, 476, 272, 5403, 269, 476, 272, 268, 272, 268, 272, 3414, 1022, 1079, 2798, 972, 568, 4010, 835, 1899, 269, 5403, 269, 476, 272, 268, 272, 268, 273, 3414, 1022, 1614, 1875, 3712, 15035, 2798, 972, 568, 4010, 835, 7077, 5627, 873, 269, 5403, 269, 476, 272, 268, 272, 268, 274, 1403, 1079, 2798, 9114, 538, 513, 692, 2162, 16387, 269, 1234, 548, 1078, 4530, 5999, 269, 476, 273, 769, 519, 6516, 2630, 267, 256, 476, 272, 834, 256, 275, 269, 6333, 519, 7440, 2630, 780, 272, 6904, 540, 519, 1739, 1655, 6257, 20952, 633, 7744, 286, 1210, 7954, 547, 2721, 8753, 1759, 593, 7608, 6898, 16561, 519, 2495, 540, 513, 2165, 1510, 4214, 10747, 6310, 2474, 692, 2162, 476, 272, 269, 25758, 3008, 269, 16387, 476, 1960, 269, 589, 269, 25351, 4120, 815, 3490, 15820, 815, 536, 327, 269, 645, 269, 23155, 6945, 815, 3490, 15820, 815, 536, 327, 269, 595, 269, 10910, 4861, 639, 815, 476, 272, 1587, 540, 519, 32377, 815, 476, 272, 546, 323, 692, 10481, 5852, 476, 1960, 476, 272, 269, 25758, 3008, 589, 269, 25351, 4120, 815, 3490, 15820, 815, 536, 327, 9351, 815, 476, 2412, 645, 269, 23155, 6945, 815, 3490, 15820, 815, 536, 327, 9351, 815, 476, 2412, 18564, 602, 519, 15820, 568, 1114, 689, 519, 2427, 269, 898, 568, 2141, 10156, 982, 519, 2034, 692, 2162, 476, 277, 269, 272, 281, 11261, 281, 16387, 269, 12443, 12455, 7089, 540, 10222, 9201, 5681, 540, 25181, 27449, 692, 277, 269, 272, 281, 11261, 281, 16387, 12443, 12455, 7089, 540, 10222, 9201, 5681, 540, 25181, 27449, 21121, 281, 1948, 540, 5011, 281, 1948, 540, 12730, 281, 21408, 10561, 281, 1948, 540, 5011, 281, 1948, 540, 12730, 281, 19999, 6782, 281, 1948, 540, 5011, 281, 1948, 540, 12730, 281, 1261, 343, 6782, 281, 1948, 692, 2162, 8745, 281, 5822, 19496, 11929, 12968, 832, 9511, 589, 1146, 543, 7720, 1506, 3291, 514, 269, 2904, 476, 1724, 267, 476, 1001, 275, 692, 11243, 281, 5822, 19496, 11929, 12968, 832, 9511, 589, 1146, 543, 7720, 1506, 3291, 514, 2904, 476, 1724, 267, 476, 1001, 275, 476, 272, 269, 589, 9764, 16741, 814, 513, 8006, 540, 476, 1691, 6279, 543, 568, 2759, 883, 476, 279, 3160, 21100, 269, 1677, 519, 14282, 20870, 540, 513, 4009, 10759, 267, 799, 2626, 692, 2162, 772, 275, 12443, 12455, 11872, 5130, 476, 1556, 267, 476, 1001, 278, 5149, 476, 275, 281, 12443, 326, 976, 692, 16215, 476, 275, 281, 12443, 326, 976, 476, 5197, 1290, 680, 21747, 11534, 5242, 16538, 6657, 24439, 17828, 256, 7151, 281, 7151, 281, 6657, 24439, 17828, 256, 4347, 281, 11068, 572, 8540, 540, 513, 6906, 910, 513, 10126, 602, 13462, 519, 4571, 9557, 540, 1079, 5011, 692, 2162, 16387, 269, 16387, 568, 835, 540, 519, 1034, 1271, 3584, 540, 26592, 589, 696, 3363, 3296, 780, 10481, 5852, 16387, 568, 835, 540, 519, 1034, 1271, 3584, 540, 26592, 589, 696, 3363, 3296, 269, 20514, 543, 27449, 5681, 540, 519, 7285, 538, 513, 2786, 1899, 568, 476, 5197, 20539, 1227, 6587, 7285, 616, 2141, 3160, 269, 1403, 1022, 692, 2162, 8791, 5556, 745, 775, 3414, 4790, 15297, 692, 4089, 476, 1015, 269, 272, 910, 5556, 745, 775, 3414, 4790, 15297, 26479, 281, 5381, 630, 3738, 3615, 723, 519, 1482, 3337, 855, 711, 8209, 519, 1482, 2450, 269, 5556, 745, 550, 630, 815, 264, 3615, 723, 519, 1482, 2450, 607, 1134, 607, 519, 1482, 3337, 780, 2162, 16387, 6657, 269, 476, 272, 269, 27449, 4092, 1985, 547, 835, 1776, 4687, 513, 1455, 2427, 616, 1572, 7285, 780, 10481, 5852, 6657, 8745, 476, 272, 269, 27449, 4092, 1985, 547, 835, 1776, 4687, 513, 1455, 2427, 616, 1572, 7285, 269, 476, 273, 269, 4643, 525, 602, 2743, 547, 1106, 1318, 7285, 616, 1572, 14742, 269, 476, 274, 269, 20514, 602, 3444, 616, 1572, 3515, 269, 476, 275, 780, 2162, 16387, 590, 8656, 1948, 273, 269, 8745, 281, 4147, 281, 11261, 281, 13038, 14893, 10576, 519, 3903, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 780, 12218, 281, 11261, 281, 16387, 590, 8656, 1948, 273, 13038, 14893, 10576, 519, 3903, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 476, 272, 269, 4855, 519, 1871, 540, 1535, 269, 513, 269, 476, 275, 536, 269, 476, 279, 524, 269, 476, 277, 269, 277, 546, 269, 476, 277, 476, 273, 269, 4855, 519, 3259, 540, 519, 4571, 572, 8540, 780, 2162, 16387, 20081, 3419, 517, 5852, 5149, 476, 276, 281, 12443, 12455, 11872, 11270, 1384, 10481, 5852, 20081, 3419, 517, 5852, 5149, 476, 276, 281, 12443, 12455, 11872, 8745, 281, 11261, 281, 11270, 281, 1948, 630, 272, 264, 8525, 476, 17734, 476, 27244, 1948, 279, 476, 1691, 4634, 267, 1948, 1428, 476, 736, 267, 1948, 2767, 268, 3953, 630, 273, 264, 8525, 476, 28510, 476, 272, 476, 1015, 267, 1948, 1556, 476, 1839, 744, 9536, 630, 274, 264, 8525, 476, 28510, 476, 28071, 1948, 1321, 476, 1789, 4634, 630, 275, 264, 8525, 476, 27543, 1948, 272, 268, 1691, 2353, 630, 276, 264, 8525, 692, 2162, 16387, 22588, 476, 275, 4530, 5530, 6651, 692, 10481, 5852, 22588, 476, 275, 4530, 5530, 6651, 476, 272, 269, 3503, 519, 952, 2389, 1156, 1106, 267, 519, 598, 2091, 267, 519, 11201, 543, 519, 15333, 27168, 585, 519, 2016, 3948, 281, 2353, 1318, 7285, 616, 21412, 269, 476, 273, 269, 4855, 519, 3800, 540, 7285, 589, 10484, 2162, 3848, 476, 273, 26616, 4530, 692, 6637, 26616, 4530, 22295, 7728, 21398, 10498, 623, 8980, 2464, 476, 6924, 476, 278, 269, 12433, 1142, 7164, 2427, 3259, 269, 18471, 547, 1079, 8918, 4025, 267, 952, 2556, 269, 513, 264, 536, 1040, 16534, 1142, 3830, 269, 18471, 547, 835, 8918, 1747, 267, 952, 2556, 269, 513, 2020, 2162, 5822, 12054, 6856, 11929, 5623, 13268, 564, 692, 10481, 5852, 8745, 5822, 12054, 6856, 11929, 5623, 13268, 564, 32516, 476, 278, 5990, 623, 312, 8025, 8980, 16800, 3198, 5990, 3036, 4932, 269, 901, 11532, 568, 1031, 547, 1265, 519, 13080, 540, 519, 5011, 540, 513, 1318, 6906, 269, 22443, 519, 2694, 540, 519, 1318, 6906, 269, 1548, 692, 2162, 16387, 12059, 22588, 5530, 6651, 692, 10481, 5852, 12059, 22588, 5530, 6651, 476, 272, 269, 3503, 519, 952, 2389, 1156, 1106, 267, 519, 598, 2091, 267, 519, 11201, 543, 519, 15333, 27168, 585, 519, 2016, 3948, 281, 2353, 1318, 7285, 616, 21412, 269, 476, 273, 269, 4855, 519, 3800, 540, 7285, 589, 10484, 2162, 21290, 609, 16387, 692, 9556, 9934, 609, 16387, 476, 277, 269, 274, 23155, 9999, 4179, 2517, 4118, 23605, 16694, 1504, 2593, 270, 613, 5852, 270, 638, 7310, 559, 831, 1023, 270, 336, 323, 1706, 5537, 9999, 11258, 16544, 540, 23155, 9999, 590, 1938, 589, 25521, 568, 513, 29105, 609, 1312, 8424, 692, 2162, 7689, 476, 280, 281, 3213, 15453, 19577, 910, 21408, 559, 831, 1023, 4804, 28080, 1115, 692, 8893, 476, 280, 281, 3213, 15453, 19577, 910, 21408, 559, 831, 1023, 4804, 28080, 1115, 4635, 10974, 267, 594, 666, 1265, 519, 10167, 540, 519, 1199, 2103, 540, 513, 6906, 602, 2743, 693, 513, 1448, 602, 568, 1079, 22188, 540, 519, 1259, 2059, 1142, 11667, 692, 2162, 7338, 16962, 4400, 3427, 585, 3163, 543, 5303, 5358, 540, 5525, 570, 297, 4569, 476, 272, 692, 17345, 13517, 281, 901, 1576, 568, 2966, 585, 1053, 945, 723, 6707, 6192, 519, 4441, 585, 12968, 832, 10789, 594, 269, 4841, 786, 1353, 12166, 3584, 538, 3178, 267, 609, 513, 1445, 593, 2679, 2565, 692, 2162, 11270, 281, 11261, 7689, 476, 1724, 281, 8890, 6776, 19577, 338, 540, 11933, 916, 2776, 16227, 1160, 1386, 676, 16522, 4854, 31283, 692, 281, 8890, 6776, 19577, 338, 540, 11933, 916, 2776, 16227, 1160, 1386, 676, 16522, 4854, 31283, 4804, 28080, 1115, 4635, 10974, 267, 594, 666, 1265, 519, 10167, 540, 519, 1199, 2103, 540, 513, 6906, 602, 2743, 693, 513, 1448, 602, 568, 1079, 22188, 540, 692, 2162, 645, 815, 519, 5021, 1297, 540, 2189, 9470, 2940, 12730, 2348, 782, 5011, 540, 7533, 13080, 543, 15943, 1447, 982, 476, 1724, 692, 12283, 6865, 4953, 23802, 23140, 4456, 1948, 272, 589, 815, 519, 544, 595, 538, 25521, 13235, 291, 609, 544, 645, 284, 630, 275, 343, 266, 476, 1428, 1070, 544, 667, 284, 630, 277, 343, 266, 3738, 645, 815, 519, 4110, 2268, 540, 519, 10545, 5086, 538, 6906, 13235, 609, 544, 589, 284, 630, 1535, 266, 476, 271, 1070, 544, 645, 284, 630, 1535, 266, 476, 278, 1070, 544, 595, 284, 630, 343, 476, 1428, 264, 4855, 519, 1871, 692, 2162, 476, 1428, 269, 918, 568, 519, 30268, 540, 10126, 808, 299, 267, 808, 299, 815, 476, 275, 343, 910, 476, 273, 267, 543, 808, 298, 815, 476, 278, 269, 4855, 1535, 267, 519, 3259, 540, 918, 299, 267, 543, 808, 299, 269, 476, 279, 269, 1079, 3515, 602, 798, 711, 12969, 692, 11243, 281, 11270, 11261, 2776, 268, 4338, 16387, 12096, 12054, 6856, 11929, 11555, 26177, 2608, 6637, 476, 272, 269, 272, 18745, 20514, 4643, 525, 2422, 519, 4137, 547, 2012, 1142, 540, 519, 1739, 281, 476, 272, 269, 1614, 1875, 12258, 15035, 2798, 476, 273, 269, 835, 1899, 538, 1614, 1114, 2081, 692, 2162, 5254, 13263, 2752, 9169, 5508, 19845, 27073, 5058, 28132, 7728, 11555, 26177, 10691, 2464, 23817, 6865, 4953, 23802, 269, 476, 274, 678, 323, 27607, 1284, 4060, 10484, 4306, 13263, 2752, 9169, 5508, 19845, 27073, 5058, 28132, 7728, 11555, 26177, 10691, 2464, 23817, 6865, 4953, 23802, 476, 274, 678, 323, 27607, 1284, 4060, 267, 476, 1001, 277, 268, 1001, 278, 476, 272, 744, 23615, 26177, 16387, 12474, 5623, 11872, 616, 2966, 676, 519, 4400, 3427, 9119, 6008, 1359, 9730, 607, 513, 4199, 585, 692, 2162, 2887, 5400, 613, 16387, 3204, 757, 11929, 4530, 6341, 16980, 2887, 5400, 476, 275, 634, 6516, 2630, 2982, 519, 4070, 540, 519, 13902, 20312, 10725, 540, 9474, 780, 6420, 5400, 613, 476, 272, 1772, 30801, 25671, 1355, 13235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9497, 279, 2767, 275, 2580, 1240, 267, 1321, 269, 4200, 1070, 9497, 9032, 275, 275, 2580, 476, 280, 267, 476, 4510, 269, 4817, 264, 3910, 3097, 1363, 1496, 273, 267, 9497, 276, 5379, 275, 2580, 476, 280, 267, 476, 280, 269, 4200, 1070, 9497, 9032, 275, 275, 2580, 476, 280, 267, 476, 4510, 269, 4817, 13580, 2676, 1363, 1496, 274, 267, 9497, 276, 5379, 275, 2580, 476, 280, 267, 476, 280, 269, 4200, 1070, 9497, 6434, 272, 1321, 2580, 476, 1556, 267, 476, 2190, 269, 4200, 13580, 2676, 19930, 1496, 275, 267, 9497, 9262, 274, 273, 2580, 476, 278, 267, 476, 1556, 269, 4200, 1070, 9497, 6507, 274, 274, 2580, 1556, 267, 1240, 269, 4200, 1070, 9497, 6434, 272, 1321, 2580, 476, 276, 267, 476, 4375, 269, 4817, 13580, 476, 6540, 2381, 318, 4650, 815, 476, 1911, 692, 28717, 4069, 4671, 582, 1023, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 1496, 343, 314, 271, 14963, 1341, 1592, 9852, 777, 10857, 10033, 586, 281, 586, 314, 272, 30297, 344, 314, 273, 3910, 1535, 314, 272, 281, 8079, 1070, 9753, 4917, 2745, 630, 28717, 4069, 4671, 582, 1023, 2020, 28717, 4069, 4671, 582, 1023, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 1496, 343, 314, 271, 14963, 1341, 1496, 1037, 263, 516, 706, 576, 10857, 10033, 513, 14720, 281, 513, 1341, 536, 267, 1535, 314, 272, 281, 25818, 273, 264, 3910, 1045, 4069, 4671, 582, 1023, 4917, 2745, 630, 28717, 4069, 4671, 582, 1023, 2020, 28717, 4069, 4671, 582, 1023, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 476, 952, 1535, 314, 272, 316, 13843, 1295, 318, 4650, 3116, 630, 343, 314, 271, 3910, 1535, 314, 272, 316, 1341, 476, 1015, 1070, 1045, 4069, 4671, 582, 1023, 4917, 2745, 630, 28717, 4069, 4671, 582, 1023, 2020, 692, 258, 20010, 8827, 8528, 5228, 10070, 1104, 18103, 1229, 291, 1112, 692, 28717, 4069, 815, 11713, 18743, 272, 815, 18103, 1229, 291, 1112, 10797, 692, 7451, 815, 1496, 18358, 272, 3299, 9497, 276, 5379, 275, 2580, 476, 275, 267, 476, 280, 269, 4200, 1070, 9497, 279, 2767, 275, 2580, 1240, 267, 1321, 269, 4200, 1070, 9497, 9032, 275, 275, 2580, 476, 280, 267, 476, 4510, 269, 4817, 264, 3910, 3097, 1363, 18358, 273, 3299, 9497, 276, 5379, 275, 2580, 476, 280, 267, 476, 280, 269, 4200, 1070, 9497, 9032, 275, 275, 2580, 476, 280, 267, 476, 4510, 269, 4817, 13580, 2676, 1363, 18358, 274, 3299, 9497, 276, 5379, 275, 2580, 476, 280, 267, 476, 280, 269, 4200, 1070, 9497, 6434, 272, 1321, 2580, 476, 1556, 267, 476, 2190, 269, 4200, 13580, 2676, 1363, 18358, 275, 3299, 9497, 9262, 274, 273, 2580, 476, 278, 267, 476, 1556, 269, 4200, 1070, 9497, 6507, 274, 274, 2580, 1556, 267, 1240, 269, 4200, 1070, 9497, 6434, 272, 1321, 2580, 476, 276, 267, 476, 4375, 269, 4817, 13580, 476, 6540, 454, 1721, 1007, 8266, 538, 9753, 912, 1038, 1931, 19617, 815, 1007, 8266, 314, 271, 2639, 1038, 9623, 815, 630, 2908, 8266, 314, 272, 281, 7481, 1038, 585, 1007, 538, 9623, 912, 19930, 1045, 4069, 6910, 8443, 4650, 19617, 267, 263, 4289, 28956, 25011, 272, 316, 2608, 1592, 28956, 25011, 273, 8079, 7481, 1038, 454, 1721, 1007, 538, 1045, 4069, 912, 1038, 9598, 272, 314, 2908, 314, 271, 14963, 815, 9598, 272, 10947, 28956, 314, 271, 3910, 476, 271, 264, 1341, 476, 1007, 314, 272, 316, 3097, 1038, 1948, 2745, 5560, 1112, 272, 994, 1038, 952, 5560, 1112, 272, 314, 2908, 314, 271, 14963, 2999, 476, 1911, 2187, 17264, 1820, 9230, 2908, 314, 271, 3910, 18743, 272, 314, 2908, 314, 271, 14963, 4917, 1038, 3116, 912, 16875, 1820, 5560, 1112, 272, 264, 22322, 13872, 12163, 24927, 7420, 454, 476, 8745, 281, 3097, 825, 15510, 25478, 454, 476, 8606, 17575, 281, 3097, 825, 15510, 18258, 454, 476, 9046, 15048, 912, 11434, 454, 8587, 634, 2016, 3403, 814, 513, 1297, 540, 9343, 267, 1142, 609, 2185, 4610, 689, 513, 3349, 267, 5627, 1384, 16875, 24419, 267, 30949, 267, 16954, 1637, 267, 13750, 610, 9769, 8513, 454, 16875, 476, 272, 267, 300, 26842, 2437, 1321, 267, 4510, 273, 267, 32699, 2580, 300, 1695, 541, 30773, 7531, 825, 1411, 616, 2838, 547, 3977, 1384, 1038, 13474, 267, 3557, 267, 15510, 540, 519, 1533, 630, 984, 22633, 676, 2040, 2719, 909, 519, 2551, 540, 1142, 2749, 538, 602, 1533, 264, 567, 7531, 825, 12726, 18452, 692, 825, 476, 272, 267, 300, 26842, 2437, 1321, 267, 4510, 273, 267, 32699, 2580, 300, 1695, 541, 30773, 454, 825, 476, 280, 267, 303, 2317, 2437, 274, 267, 14862, 267, 3393, 279, 2580, 300, 1695, 541, 30773, 454, 825, 476, 1724, 267, 301, 698, 20580, 2437, 273, 267, 28147, 267, 277, 4792, 2580, 300, 1695, 541, 30773, 454, 825, 476, 277, 267, 290, 1156, 333, 2967, 2437, 275, 267, 5038, 277, 267, 278, 3953, 2580, 307, 7056, 24385, 340, 454, 825, 476, 6795, 267, 21946, 655, 2437, 279, 4029, 267, 271, 4343, 2580, 307, 7056, 24385, 340, 7531, 825, 12726, 19243, 692, 825, 2715, 257, 4486, 9899, 257, 19328, 267, 307, 7056, 24385, 340, 14824, 7407, 9899, 276, 5325, 6507, 278, 271, 8679, 825, 2715, 257, 4486, 9899, 257, 19328, 267, 300, 1695, 541, 30773, 14824, 7407, 9899, 9692, 278, 2190, 9834, 348, 7531, 825, 19247, 692, 825, 634, 2551, 540, 3127, 267, 307, 7056, 24385, 340, 568, 5833, 676, 4946, 519, 2551, 540, 3097, 825, 16441, 333, 2967, 543, 30561, 269, 3097, 825, 901, 1184, 568, 7368, 585, 3127, 267, 300, 1695, 541, 30773, 543, 3127, 267, 300, 1695, 541, 30773, 269, 476, 7531, 825, 28582, 547, 2551, 27406, 7531, 20701, 19638, 12163, 1607, 5124, 1599, 24693, 513, 1592, 540, 2338, 543, 1939, 525, 519, 1587, 540, 782, 519, 9642, 2338, 1384, 3698, 1587, 8170, 302, 323, 1091, 17338, 2187, 825, 1267, 815, 476, 272, 454, 825, 585, 1775, 538, 1592, 912, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 272, 912, 2018, 1267, 2608, 284, 1775, 454, 825, 2132, 1267, 22562, 305, 1168, 1679, 519, 5124, 3009, 1210, 4786, 267, 6882, 267, 543, 2569, 1384, 3698, 1587, 8170, 302, 323, 1091, 17338, 2187, 825, 2132, 2569, 16868, 6958, 15635, 267, 6882, 6600, 6958, 15635, 267, 4786, 9852, 6958, 15635, 267, 1592, 4297, 2020, 8931, 20701, 19638, 19638, 0, 258, 544, 839, 1690, 525, 632, 608, 576, 335, 322, 542, 2123, 573, 553, 454, 12163, 3698, 2976, 541, 10955, 611, 263, 1196, 611, 3738, 1384, 14851, 1196, 611, 2999, 476, 271, 912, 453, 453, 571, 1047, 28759, 263, 834, 5591, 694, 11863, 523, 1196, 3547, 2258, 520, 643, 553, 257, 25589, 14851, 1196, 611, 2999, 476, 736, 912, 453, 16596, 834, 31013, 544, 8500, 795, 8576, 5016, 453, 19197, 1196, 611, 2999, 476, 2412, 912, 453, 16596, 834, 31013, 795, 8576, 257, 8528, 453, 19197, 1196, 611, 2999, 476, 4792, 912, 453, 16596, 834, 525, 14834, 1755, 5016, 453, 19197, 1196, 611, 2999, 476, 1911, 912, 453, 16596, 834, 30501, 28371, 10371, 3010, 2745, 263, 2976, 541, 10955, 611, 263, 476, 1428, 3738, 12467, 20701, 5814, 2979, 692, 3698, 1608, 4788, 26244, 714, 263, 1003, 272, 3738, 1384, 14851, 1003, 272, 2999, 476, 271, 912, 453, 453, 571, 1047, 28759, 263, 834, 14976, 1003, 3266, 1100, 533, 4240, 324, 1583, 2258, 520, 16343, 257, 25589, 28432, 912, 453, 16596, 2979, 28460, 263, 1003, 272, 476, 9239, 641, 272, 815, 703, 263, 3403, 263, 834, 842, 28558, 796, 1003, 3266, 281, 834, 3738, 25589, 339, 787, 912, 13537, 263, 1608, 4788, 26244, 714, 263, 1566, 272, 3738, 25589, 258, 694, 533, 4240, 324, 15646, 558, 1962, 541, 1714, 5470, 563, 21955, 28759, 607, 18438, 301, 10179, 821, 326, 520, 16343, 1384, 13537, 263, 18438, 301, 10179, 821, 326, 520, 16343, 25589, 2745, 263, 834, 25284, 320, 3803, 714, 5964, 257, 3738 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 497, 8147, 19867, 356, 27310, 28996, 344, 1752, 20992, 27882, 351, 8147, 454, 23946, 370, 4970, 498, 16533, 484, 344, 1752, 12571, 492, 30837, 351, 7511, 14756, 497, 31563, 30853, 20992, 13200, 509, 29873, 7511, 12255, 29004, 362, 13213, 498, 18713, 508, 8147, 12571, 490, 28793, 18777, 364, 25051, 499, 14756, 497, 23521, 509, 7511, 12916, 491, 419, 377, 362, 8147, 454, 31284, 418, 361, 350, 19540, 491, 420, 364, 481, 17958, 10113, 7511, 28793, 22390, 503, 8147, 10524, 492, 31968, 418, 361, 350, 14756, 497, 23521, 509, 7511, 12916, 491, 419, 377, 362, 26406, 354, 419, 507, 478, 23523, 478, 12571, 492, 19867, 356, 27310, 454, 20701, 3698, 30775, 273, 10031, 825, 1820, 3488, 29582, 5073, 825, 585, 1535, 538, 2039, 263, 1015, 2187, 1038, 6556, 1535, 454, 1038, 1820, 3488, 12711, 320, 17210, 258, 21796, 357, 418, 482, 493, 16088, 16583, 30936, 18809, 9463, 359, 28884, 20069, 344, 1752, 21251, 28997, 350, 344, 1752, 25263, 504, 21251, 25263, 504, 19867, 356, 27310, 28996, 8147, 16583, 30936, 7511, 420, 364, 481, 17958, 14756, 497, 31563, 421, 25693, 15159, 13200, 509, 29873, 417, 503, 357, 454, 3698, 30775, 274, 3287, 2187, 825, 1820, 3488, 553, 323, 5073, 825, 952, 476, 1535, 3436, 476, 1015, 912, 1038, 6556, 476, 1911, 454, 825, 2132, 476, 736, 454, 2745, 6600, 15635, 273, 19572, 6943, 6600, 15635, 273, 3890, 1070, 6943, 6600, 15635, 273, 4917, 258, 30244, 7511, 325, 15635, 273, 3890, 15159, 22047, 13200, 509, 29873, 417, 503, 357, 454, 2102, 815, 30775, 273, 4590, 2745, 263, 10113, 263, 2102, 4917, 2745, 263, 10113, 263, 2102, 4917, 2745, 263, 10113, 263, 2102, 4917, 2745, 3488, 4499, 2525, 284, 5073, 258, 14756, 481, 18263, 510, 16088, 19540, 503, 22047, 13200, 509, 29873, 417, 503, 357, 8147, 23746, 23284, 11590, 356, 13200, 509, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 27818, 23746, 23284, 20721, 510, 30522, 494, 13200, 509, 29873, 24724, 454, 258, 272, 267, 272, 267, 273, 267, 274, 267, 276, 267, 279, 267, 1724, 267, 2641, 267, 4097, 19601, 3698, 905, 328, 10031, 825, 6556, 476, 272, 454, 825, 6556, 476, 272, 454, 825, 513, 815, 476, 272, 454, 825, 536, 815, 476, 272, 454, 825, 1247, 6936, 912, 1038, 6556, 513, 17070, 454, 1038, 513, 14720, 815, 536, 28083, 17070, 692, 2102, 815, 905, 328, 4590, 2745, 263, 10113, 263, 2102, 4917, 2745, 263, 10113, 263, 2102, 4917, 2745, 263, 10113, 263, 2102, 4917, 2745, 263, 10113, 263, 2102, 4917, 2745, 263, 10113, 263, 2102, 11723, 258, 13200, 509, 29873, 417, 503, 357, 25520, 13200, 509, 29873, 19764, 493, 11590, 356, 13200, 509, 7511, 28098, 420, 365, 350, 16533, 365, 15159, 13213, 511, 28786, 417, 503, 357, 454, 258, 16533, 484, 28578, 23989, 420, 377, 361, 29004, 351, 29873, 13213, 511, 28786, 417, 503, 357, 28098, 420, 365, 350, 454, 3438, 272, 815, 12055, 8443, 272, 267, 273, 267, 274, 267, 275, 7481, 2745, 263, 3438, 272, 2020, 2745, 263, 10113, 263, 3438, 272, 4917, 2745, 263, 10113, 263, 3438, 272, 4917, 1721, 6221, 538, 12055, 272, 912, 825, 1820, 263, 14403, 994, 0, 12163, 19540, 483, 419, 377, 362, 32352, 31271, 508, 26233, 356, 16533, 365, 15159, 421, 511, 498, 25622, 31271, 508, 26233, 356, 454, 421, 511, 498, 25622, 31271, 508, 26233, 356, 281, 31271, 508, 26233, 356, 12571, 491, 7511, 31176, 491, 30837, 351, 25520, 12571, 492, 30837, 351, 421, 25693, 20069, 4970, 353, 14748, 31284, 10254, 496, 419, 374, 379, 454, 421, 511, 498, 25622, 25913, 25622, 16088, 25913, 25622, 7511, 31176, 491, 30837, 351, 25520, 12571, 492, 30837, 351, 421, 25693, 20069, 4970, 353, 14748, 31284, 10254, 496, 419, 374, 379, 454, 12163, 5814, 30220, 454, 5035, 12287, 912, 825, 5727, 32512, 32352, 12163, 825, 1297, 815, 476, 8618, 476, 1948, 32352, 7511, 21211, 418, 362, 369, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 272, 267, 720, 272, 267, 19417, 272, 2187, 1038, 1582, 20508, 815, 2012, 272, 454, 1038, 1582, 269, 720, 815, 2085, 272, 454, 1038, 1582, 269, 19417, 815, 4463, 272, 454, 825, 1219, 2196, 4311, 2187, 1038, 1820, 2891, 260, 338, 21928, 420, 371, 495, 27882, 354, 257, 4939, 1582, 20508, 994, 825, 1948, 32352, 25913, 25622, 454, 825, 7711, 5035, 24709, 454, 825, 1219, 1397, 20311, 263, 743, 338, 2187, 1038, 1820, 2891, 32512, 32352, 7511, 12255, 19404, 493, 20992, 281, 260, 11590, 379, 257, 4939, 804, 338, 8542, 3784, 2020, 825, 1948, 30837, 503, 26233, 479, 25913, 25622, 454, 825, 7711, 18878, 24709, 454, 825, 1219, 6861, 10031, 1038, 1820, 2891, 32512, 32352, 21928, 419, 510, 368, 417, 507, 493, 27064, 363, 417, 351, 481, 5602, 335, 272, 815, 12287, 2891, 19764, 510, 4970, 487, 2580, 1839, 267, 11260, 994, 258, 272, 14857, 4067, 1029, 31271, 508, 26233, 356, 454, 4067, 815, 12287, 14857, 4067, 1029, 454, 2745, 28442, 267, 6943, 28442, 11723, 258, 273, 269, 13090, 5035, 338, 1029, 31271, 508, 26233, 356, 454, 258, 28098, 420, 365, 350, 7511, 31271, 508, 26233, 356, 8147, 454, 258, 3240, 318, 5035, 15159, 22047, 32352, 8147, 18263, 489, 31176, 491, 32352, 420, 25693, 417, 479, 504, 7511, 11590, 489, 10524, 500, 421, 25693, 420, 25693, 417, 479, 504, 454, 3240, 318, 5035, 815, 533, 272, 14857, 5035, 1029, 454, 335, 273, 815, 1250, 318, 5035, 2891, 16533, 493, 13107, 492, 2580, 736, 267, 11260, 2020, 258, 1029, 18743, 1029, 31271, 508, 26233, 356, 19203, 16533, 484, 28098, 420, 365, 350, 31271, 508, 26233, 356, 9463, 488, 10429, 370, 28098, 18021, 498, 7511, 29219, 420, 352, 483, 29004, 351, 29873, 421, 498, 362, 29219, 28098, 11858, 502, 28996, 22047, 21211, 10429, 372, 18809, 692, 2745, 9230, 31094, 14857, 18743, 1029, 4917, 258, 275, 14857, 25269, 1029, 31271, 508, 26233, 356, 734, 15010, 420, 492, 371, 9463, 500, 32352, 7511, 13644, 368, 13107, 492, 24757, 418, 350, 352, 454, 258, 32352, 7511, 31271, 508, 26233, 356, 454, 25269, 284, 12287, 14857, 25269, 1029, 454, 2745, 5560, 665, 2020, 258, 276, 14857, 7116, 2544, 1029, 31271, 508, 26233, 356, 19203, 420, 492, 371, 9463, 500, 32352, 19867, 478, 21928, 7511, 418, 357, 350, 417, 507, 501, 28098, 18021, 498, 7511, 12571, 491, 21211, 454, 2745, 27456, 3205, 14857, 7116, 2544, 1029, 994, 2745, 5560, 520, 8135, 6155, 520, 8135, 14857, 7116, 2544, 1029, 2020, 258, 277, 14857, 19668, 1029, 31271, 508, 26233, 356, 476, 4534, 420, 492, 371, 9463, 500, 25051, 497, 31176, 491, 32352, 7511, 419, 486, 370, 32352, 454, 2745, 27456, 3205, 14857, 321, 1162, 1029, 2020, 0, 12163, 32352, 18809, 7511, 19540, 483, 14395, 373, 16088, 31271, 508, 26233, 356, 25520, 25913, 25622, 454, 272, 269, 31271, 508, 26233, 356, 263, 32517, 507, 11858, 502, 29219, 7511, 264, 16088, 454, 320, 269, 28098, 420, 365, 350, 7511, 31271, 508, 26233, 356, 281, 21251, 12571, 490, 7511, 28098, 420, 365, 350, 8147, 28098, 18021, 498, 7511, 29219, 23746, 420, 25693, 21251, 13601, 21550, 371, 8147, 30244, 21550, 371, 7511, 31271, 508, 26233, 356, 15159, 28098, 420, 365, 350, 31271, 508, 26233, 356, 454, 32352, 18809, 7511, 28098, 420, 365, 350, 31271, 508, 26233, 356, 15159, 417, 352, 364, 13107, 492, 21928, 8181, 25913, 25622, 18809, 7511, 8147, 23946, 370, 4970, 498, 417, 352, 364, 13107, 492, 21550, 376, 19764, 493, 15159, 16088, 1345, 269, 31271, 508, 26233, 356, 12571, 491, 815, 476, 10254, 507, 29219, 454, 28098, 420, 365, 350, 31271, 508, 26233, 356, 7511, 12916, 379, 17958, 16088, 28098, 420, 365, 350, 269, 31271, 508, 26233, 356, 12571, 491, 692, 321, 269, 32352, 7511, 21211, 418, 362, 369, 16088, 31271, 508, 30678, 32352, 7511, 8147, 19867, 478, 20069, 7511, 28098, 420, 365, 350, 28098, 18021, 498, 7511, 29219, 15159, 13601, 21550, 371, 7511, 454, 273, 269, 25913, 25622, 27818, 32517, 507, 11858, 502, 20693, 509, 420, 25693, 7511, 24724, 16088, 454, 320, 269, 28098, 420, 365, 350, 25913, 25622, 454, 321, 269, 32352, 25913, 25622, 454, 322, 269, 30837, 503, 26233, 479, 25913, 25622, 454, 20701, 5035, 9906, 912, 825, 5727, 27730, 13200, 509, 32352, 12163, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1948, 417, 352, 364, 13107, 492, 28098, 420, 365, 350, 31271, 508, 26233, 356, 4067, 267, 720, 267, 573, 454, 1038, 1582, 20508, 815, 834, 19764, 510, 31271, 365, 4840, 1038, 1582, 269, 720, 815, 834, 1240, 4840, 1038, 1582, 269, 573, 815, 834, 9826, 5016, 5035, 13928, 912, 825, 5727, 419, 489, 501, 32352, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 6943, 272, 267, 10233, 272, 2567, 476, 1948, 6943, 272, 267, 10233, 272, 25051, 351, 9463, 480, 454, 1038, 1582, 269, 6943, 815, 1826, 272, 454, 1038, 1582, 269, 10233, 815, 2681, 272, 692, 5035, 8950, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 10233, 815, 834, 419, 503, 377, 420, 487, 366, 2580, 332, 25514, 815, 476, 1911, 271, 2187, 1038, 1582, 269, 10233, 815, 2681, 454, 1038, 1582, 6230, 25514, 815, 3965, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 588, 340, 272, 815, 9906, 4590, 825, 1820, 263, 560, 340, 272, 20508, 267, 560, 340, 272, 269, 720, 267, 560, 340, 272, 269, 573, 2020, 825, 1948, 20881, 504, 13213, 485, 28098, 420, 365, 350, 31308, 375, 32517, 362, 418, 498, 373, 28098, 420, 365, 350, 7511, 31271, 508, 26233, 356, 454, 825, 588, 340, 272, 20508, 815, 834, 418, 365, 509, 20069, 19867, 491, 4840, 825, 1820, 263, 560, 340, 272, 20508, 2020, 825, 2915, 272, 815, 13928, 2891, 18809, 22287, 492, 13200, 364, 18713, 511, 419, 488, 361, 14824, 421, 375, 482, 420, 487, 366, 5602, 825, 1820, 5560, 690, 272, 269, 6943, 267, 27594, 272, 269, 10233, 9239, 825, 735, 272, 815, 8950, 4590, 825, 1820, 263, 4818, 272, 269, 10233, 267, 4818, 272, 6230, 25514, 994, 825, 735, 273, 815, 8950, 2891, 421, 375, 495, 420, 487, 366, 2580, 9083, 275, 994, 825, 1820, 263, 4818, 273, 269, 10233, 267, 4818, 273, 6230, 25514, 9239, 258, 19540, 503, 22047, 419, 509, 358, 25051, 351, 32352, 8147, 418, 489, 354, 20069, 31271, 508, 26233, 356, 421, 499, 379, 25520, 14395, 377, 454, 5035, 25351, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 331, 5460, 267, 12296, 2187, 1038, 1582, 7456, 5460, 815, 561, 5460, 454, 1038, 1582, 9884, 5954, 815, 8700, 454, 0, 5814, 27368, 692, 6853, 18524, 269, 8181, 4590, 30720, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 7785, 267, 476, 7785, 4917, 30720, 8807, 650, 9230, 14838, 267, 476, 14838, 267, 476, 14838, 4917, 6853, 18524, 269, 5891, 269, 4148, 760, 4590, 258, 419, 494, 481, 7511, 17295, 484, 417, 379, 481, 417, 507, 494, 21550, 485, 454, 343, 815, 476, 1911, 454, 344, 815, 476, 1911, 454, 337, 815, 476, 736, 454, 5417, 272, 815, 476, 275, 454, 5417, 273, 815, 476, 274, 454, 258, 418, 372, 372, 16043, 493, 23523, 359, 27064, 363, 454, 6112, 6936, 912, 825, 1948, 16533, 484, 18263, 489, 31176, 491, 7511, 419, 494, 481, 26109, 484, 25203, 500, 454, 825, 6885, 8807, 650, 9230, 14838, 267, 14838, 267, 14838, 11723, 825, 1948, 417, 375, 370, 13213, 509, 454, 825, 27368, 28333, 6155, 601, 599, 263, 1015, 994, 825, 1948, 21251, 13161, 511, 7511, 13200, 375, 17295, 484, 454, 825, 27368, 6155, 3863, 6983, 22511, 263, 30720, 267, 263, 14838, 267, 271, 267, 271, 32140, 343, 11971, 1070, 337, 994, 825, 27368, 269, 5891, 269, 26303, 10797, 825, 1948, 418, 498, 373, 9463, 502, 344, 29219, 18777, 358, 17295, 484, 21928, 417, 508, 480, 25203, 368, 25913, 12571, 495, 26175, 375, 20693, 357, 454, 825, 586, 6834, 1039, 272, 454, 825, 1535, 6834, 1039, 273, 692, 825, 1948, 678, 6834, 1039, 454, 825, 1948, 952, 678, 285, 284, 6344, 610, 678, 27045, 736, 912, 825, 1948, 672, 1039, 2608, 284, 910, 272, 454, 825, 1948, 20001, 373, 419, 499, 490, 418, 352, 478, 418, 369, 489, 454, 825, 952, 586, 13843, 476, 276, 3199, 610, 586, 27045, 736, 912, 1038, 1039, 272, 2608, 284, 910, 272, 454, 825, 952, 1535, 285, 284, 476, 276, 3199, 610, 1535, 27045, 736, 912, 1038, 1039, 273, 2608, 284, 910, 272, 454, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 2018, 14827, 4590, 0, 258, 421, 505, 484, 12571, 486, 263, 3553, 994, 258, 421, 505, 484, 12571, 486, 15159, 7090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2956, 540, 593, 6066, 20343, 538, 1153, 267, 1362, 267, 543, 24892, 2238, 7146, 8661, 1434, 20343, 543, 1967, 563, 268, 5788, 27189, 741, 2875, 4433, 264, 547, 1153, 1169, 1554, 5423, 547, 7119, 543, 1451, 563, 268, 5788, 19372, 10257, 267, 2085, 29003, 1225, 325, 31974, 543, 5127, 9392, 563, 268, 5788, 5269, 20499, 585, 741, 2875, 4433, 264, 3544, 540, 519, 1153, 1554, 610, 2395, 950, 3506, 616, 6806, 8164, 2009, 454, 268, 5788, 3550, 602, 741, 2875, 11392, 519, 13350, 2875, 1072, 18362, 543, 6375, 3074, 602, 616, 2838, 676, 1876, 563, 268, 5788, 21480, 1920, 7477, 725, 547, 14626, 728, 609, 1153, 12424, 525, 563, 268, 5788, 11910, 519, 1153, 547, 1867, 950, 741, 2875, 568, 610, 786, 581, 15534, 563, 268, 5788, 3629, 513, 2854, 28195, 585, 1169, 9000, 950, 741, 2875, 7024, 547, 1153, 267, 829, 454, 268, 5788, 20343, 4808, 563, 268, 5788, 3629, 513, 2854, 28195, 585, 1169, 3735, 12625, 543, 2038, 22576, 267, 829, 20343, 4808, 454, 268, 5788, 3629, 519, 1153, 609, 2953, 267, 1699, 9607, 267, 6595, 17066, 267, 1753, 267, 1591, 267, 543, 960, 15146, 2338, 267, 552, 17733, 9607, 693, 519, 4098, 540, 1142, 1153, 1032, 543, 9337, 1344, 8164, 972, 616, 2242, 563, 268, 5788, 12160, 622, 538, 1153, 20343, 6454, 19014, 585, 741, 2875, 267, 547, 2087, 3232, 2875, 20343, 950, 2556, 563, 2691, 2052, 513, 9906, 581, 12559, 550, 888, 15919, 1053, 723, 547, 4413, 1153, 269, 12559, 1878, 799, 2743, 519, 2175, 610, 3871, 8612, 2630, 896, 19196, 4310, 13624, 1177, 995, 12559, 775, 4927, 581, 2808, 606, 2300, 4310, 9000, 563, 303, 2720, 340, 656, 547, 519, 10588, 779, 20343, 3609, 267, 2854, 28195, 4967, 7713, 519, 9000, 1590, 581, 2016, 547, 519, 1153, 1369, 1614, 630, 274, 264, 2395, 2390, 519, 2875, 779, 2132, 547, 1153, 269, 1403, 519, 4063, 568, 711, 11643, 547, 519, 1153, 1369, 519, 2838, 942, 7406, 267, 519, 1554, 4433, 264, 949, 711, 581, 2300, 4310, 563, 268, 2353, 2612, 1878, 4611, 538, 513, 2698, 540, 1614, 630, 274, 264, 610, 811, 15654, 2395, 1813, 547, 4576, 786, 2154, 513, 2854, 28195, 4063, 676, 513, 13931, 3782, 8502, 563, 268, 1280, 2612, 1878, 602, 798, 711, 2698, 1614, 630, 274, 264, 15654, 2395, 267, 3237, 949, 10505, 513, 2854, 28195, 4063, 17548, 519, 2601, 585, 519, 9000, 269, 19196, 2224, 4967, 689, 513, 3782, 8502, 949, 849, 581, 11643, 538, 9114, 340, 540, 513, 2385, 4063, 585, 1022, 9000, 563, 268, 1879, 513, 2875, 814, 1044, 15534, 1813, 547, 4576, 267, 2300, 4310, 609, 513, 2385, 4063, 267, 2698, 532, 5216, 630, 279, 264, 2395, 630, 322, 636, 11494, 1070, 782, 7766, 2612, 1878, 949, 2154, 513, 2854, 28195, 4063, 689, 513, 13931, 3782, 8502, 563, 24309, 28195, 4967, 1590, 1331, 513, 4570, 15146, 1297, 610, 824, 1797, 540, 3346, 585, 19027, 5301, 563, 763, 1739, 2175, 610, 3871, 13822, 10257, 2014, 585, 9000, 689, 1153, 912, 268, 5136, 8877, 3318, 1072, 1416, 610, 3797, 3028, 21235, 676, 513, 13931, 19995, 454, 268, 16270, 2854, 7662, 676, 513, 2385, 270, 31384, 1014, 267, 513, 2875, 949, 581, 2300, 4310, 1282, 1153, 3108, 585, 519, 3483, 540, 13844, 3318, 1072, 1416, 610, 3797, 3028, 1152, 952, 519, 1739, 4170, 616, 1558, 912, 268, 634, 1072, 610, 9354, 2533, 616, 547, 581, 21235, 676, 13931, 9439, 563, 268, 898, 568, 711, 4052, 610, 2009, 585, 519, 2875, 547, 4309, 519, 2533, 3544, 540, 1153, 3108, 563, 268, 634, 942, 540, 2556, 9000, 689, 1153, 3322, 513, 5934, 540, 13779, 609, 519, 2875, 779, 2834, 1982, 540, 2090, 563, 268, 26270, 1145, 267, 1519, 952, 513, 2875, 568, 25323, 676, 11280, 10588, 5234, 1282, 1153, 3108, 585, 1072, 5829, 4128, 454, 268, 18401, 689, 8009, 454, 268, 22490, 5480, 5920, 454, 268, 12280, 538, 1920, 454, 268, 12409, 7552, 14121, 712, 952, 519, 1739, 2175, 616, 1558, 912, 268, 634, 1268, 538, 15366, 6935, 22347, 1080, 519, 12319, 2838, 585, 2300, 10650, 1991, 547, 519, 9000, 267, 1369, 519, 3617, 942, 7406, 563, 268, 634, 2875, 779, 7589, 814, 1044, 9516, 676, 519, 8111, 23734, 550, 610, 9030, 563, 268, 634, 2937, 28068, 543, 27459, 2358, 519, 4663, 610, 7552, 568, 11807, 547, 519, 1268, 538, 15366, 6935, 563, 268, 5441, 19150, 267, 4123, 1153, 19150, 267, 4876, 543, 2930, 2866, 1982, 19150, 267, 2146, 2852, 19150, 267, 610, 19150, 540, 824, 1875, 5937, 626, 2774, 3506, 267, 609, 1991, 13170, 563, 268, 634, 10588, 949, 3970, 519, 1297, 543, 8653, 540, 1875, 17469, 17898, 29107, 3872, 19150, 610, 15143, 585, 799, 2300, 4310, 2612, 1878, 949, 581, 11292, 547, 513, 2875, 1282, 519, 1153, 1032, 563, 268, 17325, 766, 540, 513, 3909, 9702, 4767, 676, 513, 536, 7431, 535, 728, 3909, 1895, 267, 2390, 1991, 2854, 7662, 689, 519, 1268, 538, 15366, 6935, 563, 268, 4934, 6361, 17469, 20022, 454, 268, 7731, 17073, 630, 2304, 6397, 267, 3978, 2680, 602, 568, 3544, 540, 519, 1852, 540, 519, 2875, 779, 1920, 994, 268, 10671, 2231, 15366, 4063, 7713, 519, 6595, 4607, 1369, 476, 274, 1153, 2395, 540, 519, 2875, 779, 2132, 269, 3427, 5234, 786, 6218, 952, 519, 3510, 13054, 513, 1920, 6595, 563, 268, 30880, 538, 513, 1788, 23032, 676, 513, 1533, 4204, 610, 10315, 4204, 476, 275, 6953, 267, 8892, 26478, 540, 3013, 630, 293, 11902, 1070, 610, 5916, 476, 275, 6953, 543, 674, 11902, 1895, 267, 2390, 1991, 2854, 7662, 563, 268, 30880, 538, 513, 7574, 2773, 538, 14966, 609, 513, 3084, 18884, 685, 3919, 610, 11368, 1770, 267, 607, 3989, 538, 1876, 267, 585, 606, 2680, 610, 24133, 269, 634, 3084, 18884, 685, 3919, 610, 11368, 1770, 1590, 1683, 519, 2875, 609, 513, 9896, 28195, 267, 799, 4927, 1331, 519, 4266, 267, 4087, 267, 543, 942, 540, 519, 2680, 610, 24133, 269, 634, 2875, 4927, 29939, 519, 9896, 28195, 547, 519, 1153, 1991, 547, 1373, 2300, 4310, 689, 1153, 563, 268, 4033, 14849, 4128, 602, 949, 21230, 2014, 513, 2875, 779, 9000, 267, 607, 1134, 607, 6381, 1644, 547, 26683, 543, 6536, 1416, 563, 763, 1739, 1053, 949, 581, 17303, 2300, 4310, 689, 519, 4170, 540, 20343, 693, 10588, 3506, 912, 268, 1280, 519, 3483, 540, 8391, 5850, 6044, 538, 513, 2361, 711, 6035, 538, 519, 8664, 779, 21195, 267, 609, 1978, 4170, 265, 563, 268, 4841, 10283, 538, 513, 3909, 6044, 1982, 267, 609, 1978, 2175, 265, 563, 268, 3427, 21943, 1053, 8572, 547, 7390, 1153, 2390, 16252, 540, 519, 1153, 10629, 543, 513, 31897, 610, 1153, 18673, 267, 610, 1312, 267, 543, 609, 13170, 540, 519, 14199, 540, 4065, 540, 519, 12425, 4972, 540, 4065, 563, 265, 2026, 13890, 538, 519, 476, 14225, 29934, 766, 8889, 454, 27028, 1878, 799, 798, 711, 2743, 519, 1657, 2175, 610, 3871, 4927, 581, 2808, 606, 5805, 322, 4310, 270, 684, 32016, 9000, 563, 2304, 968, 684, 1410, 322, 4310, 892, 610, 968, 4068, 6549, 892, 9000, 4386, 950, 513, 2875, 568, 15534, 1510, 513, 4570, 28195, 538, 1603, 269, 2334, 1797, 602, 2901, 1100, 2854, 4063, 729, 11643, 547, 519, 1153, 2390, 519, 2875, 779, 2132, 610, 602, 519, 2601, 3177, 538, 519, 4063, 729, 16363, 23380, 269, 6201, 540, 23380, 2300, 4926, 1331, 630, 8117, 711, 3908, 547, 2567, 3777, 903, 9231, 267, 24971, 909, 3735, 267, 4576, 540, 513, 1920, 4759, 267, 543, 16314, 269, 12559, 1878, 4927, 581, 5701, 607, 5805, 322, 4310, 2394, 519, 1153, 11392, 513, 2854, 28195, 7713, 519, 9000, 267, 547, 581, 11643, 1369, 1614, 630, 274, 264, 2395, 540, 519, 9000, 563, 2304, 856, 6361, 17469, 20022, 949, 711, 581, 2808, 606, 5805, 322, 4310, 9000, 563, 25215, 976, 525, 547, 6348, 5025, 1777, 754, 766, 630, 307, 745, 3599, 994, 2691, 513, 2875, 814, 1044, 15534, 585, 1614, 630, 274, 264, 2395, 630, 935, 5913, 5737, 270, 12061, 8410, 5913, 5737, 264, 1282, 519, 1699, 1153, 1032, 1510, 513, 1876, 995, 28195, 267, 10588, 5234, 4927, 1683, 5469, 547, 519, 2385, 270, 31384, 1014, 1369, 4557, 630, 1015, 264, 1153, 2395, 540, 519, 2875, 779, 3791, 5805, 322, 4310, 9000, 563, 2252, 519, 2875, 5170, 547, 18645, 3606, 5805, 322, 4310, 2612, 1878, 1310, 1615, 340, 766, 540, 519, 5469, 267, 519, 2385, 270, 31384, 1014, 543, 2875, 786, 581, 14376, 547, 7390, 513, 3427, 29934, 766, 26094, 10985, 630, 6347, 2975, 264, 1141, 513, 3427, 29934, 766, 26094, 4643, 630, 6347, 7709, 264, 786, 581, 2813, 538, 1931, 547, 1489, 519, 1920, 538, 7114, 543, 10970, 11868, 20343, 7496, 269, 589, 14408, 7709, 1590, 581, 2919, 585, 1022, 2875, 676, 741, 15795, 630, 277, 628, 264, 5805, 322, 4310, 9000, 269, 634, 2385, 270, 31384, 1014, 543, 2875, 1590, 581, 14376, 547, 713, 10554, 538, 4434, 269, 26681, 519, 2875, 6862, 519, 2385, 270, 31384, 1014, 4927, 581, 2838, 547, 7119, 267, 4352, 621, 568, 3810, 5227, 269, 634, 14408, 2975, 4927, 2049, 1256, 952, 519, 2385, 270, 31384, 1014, 23229, 547, 7119, 610, 14543, 547, 7390, 519, 16516, 10554, 563, 2252, 519, 2875, 779, 20343, 1281, 711, 2087, 1310, 6388, 543, 3356, 5464, 540, 519, 14408, 7709, 267, 543, 814, 4557, 630, 1015, 264, 610, 811, 10363, 2612, 1878, 267, 519, 2875, 949, 581, 5219, 547, 22427, 3599, 7040, 267, 538, 1931, 547, 2061, 267, 2232, 267, 543, 2569, 5312, 1854, 656, 2623, 269, 2311, 602, 942, 513, 1854, 3599, 8502, 786, 3346, 519, 2385, 270, 31384, 1014, 538, 1931, 547, 4217, 2417, 609, 10970, 11868, 7496, 547, 20343, 563, 763, 2875, 543, 2385, 270, 31384, 1014, 786, 581, 2838, 547, 7390, 1854, 3599, 5480, 543, 519, 2385, 270, 31384, 1014, 1590, 16783, 609, 519, 1854, 3599, 5480, 1931, 269, 634, 5480, 1931, 949, 1331, 513, 29748, 585, 2533, 269, 1403, 519, 2875, 779, 20343, 1281, 711, 2087, 693, 519, 1854, 3599, 5480, 1377, 267, 1854, 3599, 5480, 949, 3277, 519, 2013, 547, 1920, 5480, 269, 769, 1920, 5480, 267, 513, 25960, 949, 7755, 644, 6510, 519, 2875, 607, 8200, 267, 543, 3651, 519, 2013, 547, 519, 4972, 540, 5274, 7896, 585, 811, 14021, 2533, 563, 306, 22273, 3290, 689, 1153, 610, 4483, 547, 606, 4244, 2069, 4259, 568, 711, 513, 7989, 24777, 3210, 547, 1854, 3599, 269, 0, 305, 629, 6798, 590, 2931, 593, 4911, 518, 454, 297, 11900, 3187, 630, 18550, 476, 1001, 271, 994, 17951, 518, 568, 513, 1360, 4277, 1641, 269, 15584, 631, 2727, 517, 1938, 267, 538, 519, 1101, 1079, 11271, 540, 513, 1433, 646, 5206, 1572, 23664, 577, 582, 1546, 685, 582, 267, 607, 851, 540, 1010, 1876, 3009, 519, 631, 880, 333, 1695, 22560, 267, 6645, 721, 602, 538, 1034, 1919, 649, 1058, 1246, 519, 1647, 1259, 267, 649, 1058, 581, 7059, 269, 634, 11344, 1611, 563, 3719, 646, 3081, 972, 779, 835, 3364, 538, 1880, 602, 596, 2461, 711, 4847, 547, 1491, 519, 1647, 1259, 267, 543, 602, 568, 10845, 269, 1261, 3081, 649, 12582, 1406, 2285, 1259, 547, 10845, 693, 782, 269, 1261, 10530, 519, 681, 13741, 529, 945, 2161, 267, 968, 10144, 945, 616, 3362, 606, 13499, 267, 22678, 685, 1446, 328, 737, 553, 32489, 669, 599, 324, 328, 1335, 669, 599, 574, 267, 741, 1272, 568, 711, 513, 1272, 3034, 5445, 2161, 267, 968, 3080, 945, 568, 14220, 568, 607, 952, 646, 610, 1352, 1185, 26902, 5792, 7329, 11169, 1848, 15584, 3893, 14220, 609, 519, 25232, 585, 835, 4090, 267, 543, 1317, 540, 602, 646, 4503, 1010, 4960, 547, 4283, 519, 8871, 2213, 8092, 563, 3383, 267, 10845, 2359, 568, 267, 538, 17194, 267, 513, 10723, 4305, 269, 1215, 798, 596, 798, 621, 286, 4270, 267, 594, 2648, 519, 1650, 540, 835, 540, 519, 700, 889, 822, 527, 7815, 1234, 6277, 525, 267, 540, 7247, 621, 729, 1767, 602, 8164, 646, 5433, 5128, 3478, 14220, 267, 646, 1131, 1491, 689, 1010, 21684, 782, 519, 2835, 540, 6014, 1876, 267, 1930, 873, 909, 267, 543, 3605, 2436, 621, 729, 15868, 547, 581, 14220, 896, 6381, 899, 713, 269, 1656, 676, 519, 942, 646, 8910, 1224, 782, 1346, 2835, 267, 875, 1223, 646, 581, 14220, 15042, 286, 0, 288, 4496, 8955, 5969, 3684, 568, 513, 2186, 540, 7344, 3937, 602, 3096, 8955, 2029, 547, 5478, 543, 2759, 4496, 269, 2311, 1459, 267, 1082, 4496, 4393, 9755, 3442, 547, 946, 8955, 5969, 6191, 547, 2759, 4496, 563, 300, 13926, 21558, 28981, 6796, 568, 606, 1271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9262, 21680, 476, 1321, 815, 476, 278, 269, 1839, 692, 9223, 476, 276, 563, 1432, 568, 519, 1747, 1871, 540, 476, 278, 538, 476, 274, 267, 280, 7761, 888, 763, 1747, 1871, 540, 476, 278, 538, 476, 274, 267, 280, 7761, 568, 476, 3583, 780, 9223, 476, 277, 563, 1692, 1454, 798, 476, 277, 23445, 1942, 952, 476, 272, 4050, 3790, 476, 1789, 10634, 2496, 476, 272, 6755, 476, 273, 6755, 476, 274, 6755, 476, 275, 6755, 476, 276, 6755, 476, 277, 6755, 476, 1789, 10634, 692, 476, 272, 6755, 476, 273, 6755, 476, 274, 6755, 476, 275, 6755, 476, 276, 6755, 476, 277, 6755, 476, 1789, 10634, 476, 273, 6398, 476, 1789, 10634, 815, 476, 2568, 10634, 476, 274, 6398, 476, 1789, 10634, 815, 476, 3445, 10634, 476, 275, 6398, 476, 1789, 10634, 815, 476, 6344, 10634, 476, 276, 6398, 476, 1789, 10634, 815, 476, 5611, 10634, 476, 277, 6398, 476, 1789, 10634, 815, 476, 5197, 10634, 692, 9223, 476, 278, 563, 6701, 476, 273, 267, 1822, 1984, 4106, 619, 543, 476, 273, 20990, 6697, 888, 272, 2148, 815, 476, 1911, 271, 1984, 4106, 619, 454, 273, 20990, 815, 476, 273, 6398, 476, 1911, 271, 1984, 4106, 619, 815, 476, 1220, 271, 1984, 4106, 619, 454, 11997, 476, 273, 267, 1822, 1984, 4106, 619, 543, 476, 273, 20990, 616, 6697, 780, 9223, 476, 279, 563, 1432, 568, 519, 1034, 2693, 2837, 3330, 540, 513, 2777, 888, 278, 13790, 454, 3583, 13790, 454, 268, 3583, 13790, 0, 258, 18903, 12384, 609, 811, 18903, 8293, 4100, 3330, 621, 2496, 3674, 621, 2009, 547, 723, 606, 1269, 333, 1422, 9392, 562, 259, 9059, 4009, 609, 513, 1776, 9059, 4009, 540, 4399, 2765, 562, 476, 275, 1422, 9392, 1422, 2765, 562, 476, 275, 259, 9059, 4009, 3330, 621, 286, 1403, 865, 1683, 606, 1383, 267, 952, 711, 6961, 952, 7543, 780, 305, 2737, 1384, 272, 269, 1269, 333, 259, 3112, 581, 476, 275, 692, 5141, 541, 5874, 1384, 272, 269, 589, 9059, 4009, 568, 606, 1269, 333, 1422, 9392, 562, 259, 7470, 4904, 609, 2338, 476, 272, 267, 10371, 1421, 1269, 333, 1422, 9392, 562, 259, 630, 10472, 4422, 585, 519, 3330, 4009, 1932, 994, 1892, 594, 6415, 14322, 1269, 333, 259, 3112, 581, 1269, 275, 259, 286, 630, 8448, 3772, 267, 713, 1131, 581, 1360, 2653, 6902, 264, 3738, 1290, 7757, 5463, 476, 1626, 267, 476, 1001, 275, 693, 476, 2537, 281, 3393, 454, 1892, 7711, 2710, 1251, 333, 984, 7937, 9493, 1695, 267, 29709, 547, 1039, 602, 538, 561, 565, 256, 1290, 7757, 5463, 476, 1704, 267, 476, 1001, 275, 693, 476, 271, 281, 4905, 692, 2005, 781, 2009, 585, 1022, 1269, 333, 259, 16883, 676, 476, 275, 267, 824, 982, 1269, 333, 284, 279, 16859, 5575, 267, 1265, 513, 9059, 4009, 540, 2450, 1269, 333, 270, 275, 10608, 630, 1607, 568, 7543, 950, 1269, 333, 284, 279, 259, 4700, 11910, 621, 4399, 24837, 346, 300, 23201, 3767, 2015, 519, 1739, 476, 275, 676, 476, 275, 9059, 4009, 4399, 24837, 346, 306, 20954, 1210, 519, 2338, 476, 271, 998, 476, 1428, 1384, 7445, 3847, 263, 1422, 8218, 15204, 2410, 764, 322, 348, 476, 279, 1299, 476, 276, 1299, 476, 273, 1299, 476, 1428, 8607, 476, 274, 1299, 476, 1691, 1299, 476, 280, 1299, 476, 275, 8607, 476, 1724, 1299, 476, 271, 1299, 476, 278, 1299, 476, 1015, 8607, 476, 277, 1299, 476, 1556, 1299, 476, 1321, 1299, 476, 272, 1422, 754, 15204, 348, 1422, 2431, 22491, 2690, 1142, 1297, 1269, 330, 259, 538, 713, 4009, 267, 5372, 621, 676, 513, 5299, 540, 4399, 24837, 346, 300, 4151, 609, 1169, 1297, 2799, 676, 1269, 30893, 317, 273, 270, 1626, 10608, 2290, 666, 3362, 2638, 602, 519, 4611, 4009, 1590, 581, 9059, 267, 1317, 1312, 540, 519, 4358, 10945, 616, 780, 2252, 596, 4312, 4862, 540, 513, 21723, 1587, 610, 918, 337, 821, 14982, 1587, 267, 1287, 713, 1058, 1745, 899, 519, 1587, 540, 1079, 9059, 10945, 780, 1892, 28611, 513, 9059, 4009, 568, 4904, 609, 476, 272, 267, 10371, 1421, 562, 630, 810, 952, 513, 9059, 4009, 568, 3330, 621, 267, 621, 1131, 2270, 476, 272, 267, 10371, 1421, 562, 270, 275, 264, 1290, 7757, 5463, 476, 1704, 267, 476, 1001, 275, 693, 476, 271, 281, 3607, 454, 1892, 1403, 4399, 24837, 346, 300, 4151, 3568, 519, 2338, 476, 272, 998, 1269, 333, 317, 273, 270, 1626, 8961, 1287, 519, 5650, 538, 713, 2626, 1058, 3132, 513, 1007, 4009, 5627, 519, 2338, 476, 272, 998, 1269, 333, 317, 273, 10608, 28791, 594, 3458, 14954, 909, 269, 1290, 7757, 5463, 476, 1704, 267, 476, 1001, 275, 693, 476, 271, 281, 4375, 454, 1892, 16393, 596, 4368, 713, 1287, 286, 4746, 1413, 693, 519, 27792, 594, 3773, 538, 519, 2243, 269, 1290, 7757, 5463, 476, 1704, 267, 476, 1001, 275, 693, 476, 271, 281, 5655, 454, 1892, 1215, 798, 596, 6445, 606, 562, 676, 562, 9059, 4009, 609, 519, 2338, 476, 272, 998, 562, 286, 1684, 596, 946, 1142, 1297, 562, 2053, 286, 594, 4312, 2760, 2938, 513, 9059, 4009, 1141, 596, 2811, 4847, 547, 10956, 2338, 269, 1290, 7757, 5463, 476, 1704, 267, 476, 1001, 275, 693, 476, 272, 281, 6187, 454, 1892, 594, 3513, 2303, 1896, 9283, 281, 476, 272, 264, 596, 1522, 1616, 547, 5372, 834, 339, 16428, 1587, 257, 609, 834, 298, 337, 821, 14982, 1587, 257, 2094, 513, 21723, 1587, 568, 811, 2489, 267, 476, 273, 264, 707, 1383, 4399, 24837, 346, 300, 4151, 1058, 723, 782, 2609, 1213, 7757, 676, 476, 272, 547, 2743, 519, 1179, 267, 476, 274, 264, 585, 519, 23501, 538, 519, 15624, 267, 519, 30731, 3009, 6256, 2462, 318, 300, 815, 737, 1258, 263, 631, 910, 476, 272, 267, 3283, 263, 562, 270, 275, 267, 562, 270, 275, 3738, 265, 333, 3738, 1341, 737, 1258, 263, 3283, 263, 562, 270, 275, 267, 562, 270, 275, 16532, 590, 16532, 1141, 4399, 4118, 338, 325, 346, 300, 348, 815, 1422, 24837, 346, 300, 4151, 543, 4399, 4118, 338, 325, 346, 306, 348, 815, 1422, 24837, 346, 306, 20954, 1522, 948, 547, 12172, 519, 1523, 269, 1341, 272, 585, 707, 2626, 267, 1498, 563, 1700, 1109, 4596, 15674, 454, 4467, 7757, 5463, 476, 1704, 267, 476, 1001, 275, 693, 476, 272, 281, 2641, 0, 2971, 11289, 596, 585, 11578, 532, 780, 3080, 540, 938, 4081, 5646, 8688, 832, 786, 3346, 596, 1369, 476, 272, 2324, 1554, 780, 8923, 2638, 707, 4757, 585, 21189, 3877, 780, 12812, 547, 13378, 692, 5197, 271, 268, 276, 5325, 271, 268, 13970, 692, 266, 11011, 476, 278, 3374, 27088, 12893, 276, 692, 290, 11286, 476, 271, 692, 1892, 476, 271, 454, 300, 312, 595, 11286, 630, 276, 2020, 8196, 595, 19281, 517, 281, 595, 11286, 736, 543, 1205, 476, 736, 260, 1055, 593, 782, 2228, 5530, 7698, 692, 3951, 4932, 454, 291, 4953, 288, 6579, 306, 454, 300, 14641, 454, 291, 3041, 4596, 7419, 307, 454, 293, 2562, 3201, 11553, 21201, 454, 13707, 12313, 281, 12652, 780, 2467, 616, 1100, 3688, 538, 713, 7047, 563, 25594, 19255, 4771, 692, 258, 1294, 8936, 692, 22706, 281, 1321, 692, 1012, 476, 272, 12226, 692, 288, 2466, 2871, 24473, 454, 279, 18745, 454, 278, 1296, 3516, 454, 763, 15864, 1935, 547, 713, 1966, 568, 547, 4194, 621, 538, 2910, 300, 7406, 269, 634, 1390, 3364, 827, 2910, 300, 7406, 602, 1813, 547, 519, 4835, 4229, 666, 576, 1782, 856, 621, 568, 606, 16931, 658, 7406, 538, 713, 2013, 630, 11004, 616, 1100, 5007, 4229, 6393, 4131, 519, 2016, 3355, 6991, 540, 589, 543, 645, 581, 476, 277, 544, 4882, 815, 642, 543, 595, 568, 693, 1964, 780, 3086, 267, 649, 666, 1265, 519, 6991, 540, 2910, 300, 267, 799, 2501, 856, 547, 581, 476, 273, 341, 270, 274, 269, 901, 6991, 786, 2611, 24240, 2429, 1317, 972, 616, 1100, 5007, 4229, 9117, 593, 519, 1062, 780, 4131, 721, 1413, 693, 519, 8216, 1175, 1310, 519, 16580, 269, 634, 2910, 300, 568, 3001, 676, 6991, 540, 476, 273, 341, 270, 274, 267, 519, 4604, 589, 568, 3001, 609, 6991, 642, 609, 2463, 547, 519, 2666, 7406, 267, 543, 3976, 609, 6991, 642, 270, 274, 538, 2910, 300, 7406, 269, 901, 568, 519, 3355, 6991, 540, 4604, 589, 780, 7661, 267, 519, 4604, 589, 2501, 547, 1964, 609, 2463, 547, 519, 2910, 300, 7406, 267, 3976, 922, 3803, 6991, 568, 4642, 780, 763, 1035, 4897, 9653, 540, 3625, 589, 281, 634, 1035, 4897, 9653, 540, 3625, 589, 538, 2666, 7406, 568, 535, 8276, 1141, 535, 568, 519, 3196, 540, 15452, 11508, 2073, 325, 815, 630, 340, 264, 16936, 267, 1141, 630, 340, 264, 568, 519, 11664, 540, 15452, 11508, 630, 340, 264, 815, 476, 271, 269, 274, 267, 30548, 3976, 1035, 4897, 9653, 7140, 856, 547, 581, 513, 815, 630, 340, 264, 326, 269, 634, 1035, 4897, 9653, 540, 3625, 589, 538, 2910, 300, 7406, 568, 849, 513, 815, 630, 340, 264, 326, 267, 1317, 2910, 300, 7406, 568, 606, 16931, 658, 7406, 543, 519, 1035, 4897, 9653, 568, 1482, 538, 782, 16931, 658, 14604, 780, 763, 2063, 4062, 540, 519, 11015, 568, 519, 1253, 864, 24964, 676, 519, 3625, 538, 2910, 300, 7406, 267, 676, 3168, 693, 519, 3355, 543, 3803, 19383, 267, 621, 666, 581, 1336, 3362, 547, 581, 700, 270, 274, 267, 1141, 700, 568, 519, 3259, 540, 513, 4604, 780, 2252, 649, 2322, 782, 519, 2418, 538, 13053, 779, 3830, 540, 5163, 642, 317, 273, 815, 579, 317, 273, 1341, 476, 273, 513, 521, 10484, 933, 1205, 476, 1109, 271, 815, 630, 341, 317, 273, 8358, 274, 1107, 476, 273, 476, 1109, 16732, 340, 264, 2608, 326, 265, 630, 299, 270, 274, 2020, 10472, 3947, 700, 815, 630, 341, 317, 273, 19422, 277, 26086, 264, 326, 2020, 517, 8380, 519, 2418, 649, 1205, 700, 815, 476, 273, 544, 780, 2690, 561, 16112, 543, 14969, 3435, 547, 2042, 899, 891, 5225, 3643, 10484, 4178, 5560, 582, 264, 325, 1853, 337, 5560, 582, 264, 1260, 7933, 16400, 24711, 692, 1012, 6789, 298, 32530, 3582, 692, 7476, 707, 2055, 12943, 676, 519, 4274, 585, 1863, 0, 9223, 692, 258, 476, 272, 269, 2473, 9625, 715, 263, 2568, 267, 476, 1556, 1040, 14597, 602, 596, 1106, 4351, 5439, 540, 476, 1839, 689, 713, 3892, 1862, 780, 272, 269, 2473, 9625, 715, 263, 2568, 267, 476, 1556, 1040, 14597, 602, 596, 1106, 4351, 5439, 540, 476, 1839, 689, 713, 3892, 269, 2913, 2473, 581, 519, 4351, 4756, 540, 25939, 269, 2913, 3852, 352, 311, 581, 519, 4351, 4756, 540, 18304, 269, 4855, 519, 476, 1789, 628, 30878, 269, 630, 305, 895, 707, 2626, 547, 1079, 8918, 4025, 24355, 273, 269, 2473, 9625, 715, 263, 2004, 267, 476, 1321, 1040, 14597, 602, 596, 1106, 4351, 5439, 540, 476, 1839, 689, 713, 3892, 269, 2913, 2473, 581, 519, 4351, 4756, 540, 25939, 269, 2913, 3852, 352, 311, 581, 519, 4351, 4756, 540, 18304, 269, 28220, 519, 3113, 267, 12094, 519, 3148, 267, 6003, 543, 4336, 519, 8880, 7852, 585, 2473, 267, 543, 1265, 519, 5506, 269, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 4700, 623, 263, 4366, 2999, 2473, 2999, 476, 7918, 264, 25883, 274, 269, 311, 9625, 715, 263, 3583, 267, 476, 1321, 1040, 14597, 602, 596, 1106, 4351, 5439, 540, 476, 1839, 689, 713, 3892, 269, 2913, 2473, 581, 519, 4351, 4756, 540, 25939, 269, 2913, 3852, 352, 311, 581, 519, 4351, 4756, 540, 18304, 269, 28220, 519, 3113, 267, 12094, 519, 3148, 267, 6003, 543, 4336, 519, 8880, 7852, 585, 2473, 267, 543, 1265, 519, 5506, 269, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 4700, 623, 263, 3607, 2999, 2473, 2999, 476, 5780, 264, 25883, 275, 2529, 6269, 846, 602, 519, 3845, 540, 8038, 11084, 5734, 547, 519, 856, 7615, 630, 514, 13836, 264, 568, 7363, 7856, 609, 513, 1611, 540, 476, 22724, 3952, 543, 513, 3044, 11539, 540, 476, 6812, 3952, 269, 1284, 14477, 3732, 476, 5392, 8038, 11084, 780, 288, 264, 1548, 568, 519, 5506, 602, 519, 476, 5392, 11084, 14612, 606, 3328, 540, 1447, 982, 476, 26727, 3952, 286, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 12175, 8340, 519, 476, 3199, 628, 30878, 540, 519, 3892, 540, 519, 3328, 540, 476, 5392, 8038, 11084, 269, 630, 305, 895, 707, 2626, 547, 1079, 8918, 4025, 24355, 289, 264, 4855, 519, 476, 3199, 628, 30878, 540, 519, 3892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 2979, 692, 5035, 23426, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 2187, 1038, 952, 1003, 5334, 1938, 3436, 476, 271, 912, 2018, 1582, 8542, 636, 5334, 1938, 815, 1003, 5334, 1938, 454, 2018, 1582, 269, 2515, 9078, 9975, 815, 2427, 9078, 9975, 454, 1038, 3116, 912, 2018, 6318, 28759, 3488, 763, 13080, 616, 711, 540, 519, 2953, 1871, 17210, 825, 1219, 1858, 4311, 2187, 1038, 2132, 1582, 269, 2515, 9078, 9975, 314, 271, 316, 2608, 1582, 269, 2515, 9078, 9975, 314, 272, 6540, 5035, 21121, 263, 4537, 1901, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 2187, 1038, 23426, 14857, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 994, 825, 1219, 1858, 4311, 2187, 1038, 513, 815, 1582, 269, 2515, 9078, 9975, 314, 271, 2639, 1038, 536, 815, 1582, 269, 2515, 9078, 9975, 314, 272, 2639, 1038, 524, 815, 1582, 269, 2515, 9078, 9975, 314, 273, 2639, 1038, 521, 815, 630, 320, 1341, 536, 1341, 524, 264, 1315, 476, 273, 454, 1038, 2132, 2979, 28460, 4433, 2608, 16733, 338, 910, 513, 264, 2608, 630, 338, 910, 536, 264, 2608, 630, 338, 910, 524, 4297, 2020, 5035, 25351, 4120, 263, 4537, 1901, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 2187, 1038, 23426, 14857, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 9239, 5035, 12384, 27562, 624, 4120, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 2187, 1038, 25351, 4120, 14857, 8181, 9191, 1345, 267, 1003, 5334, 1938, 267, 2427, 9078, 9975, 2020, 5550, 815, 25351, 4120, 263, 275, 267, 1496, 273, 267, 476, 275, 7481, 2745, 263, 5550, 269, 19327, 15405, 13700, 272, 815, 21121, 263, 274, 267, 1496, 274, 267, 476, 275, 267, 476, 276, 7481, 2745, 6025, 337, 272, 269, 19327, 15405, 0, 18257, 4916, 292, 11070, 302, 4596, 14701, 454, 13765, 30268, 540, 1592, 454, 9281, 30268, 568, 23166, 2562, 23451, 8946, 2894, 454, 825, 2132, 13138, 16604, 454, 5085, 9281, 674, 7644, 4306, 2652, 700, 17129, 454, 825, 2132, 674, 3201, 10345, 454, 5085, 10345, 454, 825, 17692, 30268, 4959, 24321, 2969, 2207, 8946, 3198, 5580, 10734, 895, 8946, 2894, 454, 1038, 25526, 17395, 645, 5588, 307, 6865, 670, 3201, 293, 5508, 700, 8780, 454, 825, 20700, 10345, 454, 1038, 25526, 17395, 570, 8008, 670, 3201, 293, 5508, 700, 8780, 454, 825, 29187, 292, 2969, 20978, 645, 9680, 2562, 301, 5058, 454, 18411, 5814, 2979, 692, 3698, 9352, 15507, 30044, 8266, 267, 2539, 10734, 895, 267, 5580, 10734, 895, 2187, 825, 15981, 289, 2435, 3406, 740, 320, 1632, 1599, 692, 825, 20504, 338, 513, 1592, 543, 8870, 23451, 538, 799, 547, 3406, 269, 4855, 338, 2436, 454, 825, 519, 1592, 3568, 513, 1297, 1369, 891, 9138, 23451, 18411, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 30044, 8266, 264, 910, 476, 272, 454, 825, 1967, 815, 8771, 692, 825, 1247, 630, 14140, 10922, 2063, 543, 711, 1967, 2187, 1038, 4571, 815, 703, 263, 4118, 269, 576, 559, 9230, 14140, 1341, 2063, 264, 12262, 476, 273, 4917, 1038, 952, 630, 3240, 8266, 314, 13232, 316, 13843, 2539, 10734, 895, 543, 1250, 8266, 314, 13232, 316, 10922, 5580, 10734, 895, 2187, 2018, 1967, 815, 6936, 454, 1038, 8640, 630, 3240, 8266, 314, 13232, 316, 3436, 5580, 10734, 895, 2187, 2018, 2063, 815, 4571, 910, 476, 272, 454, 1038, 3116, 912, 2018, 1101, 815, 4571, 1341, 476, 272, 692, 825, 2132, 1967, 7531, 3698, 1770, 14818, 10031, 825, 15981, 16215, 4152, 1599, 692, 825, 20504, 338, 1100, 7440, 267, 8255, 519, 1599, 609, 513, 1305, 540, 11378, 267, 8228, 519, 2164, 18411, 825, 1948, 24868, 762, 7084, 692, 825, 1449, 299, 1235, 815, 20886, 272, 267, 273, 267, 274, 3910, 1496, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 3910, 1496, 276, 267, 277, 267, 278, 267, 279, 267, 1015, 267, 1428, 27663, 825, 23451, 815, 20886, 275, 267, 277, 3910, 1496, 272, 267, 274, 3910, 1496, 1321, 267, 1626, 27663, 825, 585, 4994, 272, 538, 2039, 12759, 6025, 652, 299, 1235, 15892, 1038, 1820, 6025, 652, 299, 1235, 27709, 272, 8079, 3248, 1038, 585, 4994, 273, 538, 2039, 12759, 6357, 2432, 15892, 2018, 1820, 3488, 299, 1077, 281, 22207, 23451, 27709, 273, 6012, 271, 7481, 2018, 1820, 3488, 308, 3899, 281, 22207, 23451, 27709, 273, 6012, 272, 7481, 2018, 1820, 6357, 2435, 15507, 6025, 652, 299, 1235, 27709, 272, 3910, 23451, 27709, 273, 6012, 271, 3910, 23451, 27709, 273, 6012, 272, 8079, 2020, 22780, 14818, 4590, 0, 2889, 3865, 815, 8771, 454, 6112, 8399, 2652, 8771, 912, 825, 1297, 815, 3403, 2891, 8923, 4283, 513, 1297, 1063, 476, 272, 543, 476, 15886, 280, 281, 19515, 825, 952, 703, 28840, 264, 13843, 476, 272, 543, 703, 28840, 264, 10922, 476, 15886, 280, 912, 1038, 8399, 815, 6936, 692, 3698, 6460, 3287, 2187, 825, 9704, 815, 18358, 3080, 3299, 1412, 10521, 3299, 1412, 16248, 3299, 1412, 19177, 3299, 1412, 26668, 3299, 1412, 306, 1460, 3299, 1412, 5353, 1597, 22779, 825, 1412, 292, 697, 3299, 1412, 301, 710, 23300, 825, 24909, 815, 18358, 295, 4348, 3299, 1412, 1320, 748, 663, 23300, 825, 9937, 815, 18358, 10117, 3299, 1412, 307, 523, 3299, 1412, 23562, 4868, 3299, 1412, 1320, 8812, 3299, 1412, 293, 677, 344, 3299, 1412, 293, 604, 1399, 3299, 1412, 306, 4869, 344, 22779, 825, 1412, 5353, 1203, 344, 3299, 1412, 292, 26663, 3299, 1412, 301, 27197, 23300, 825, 1747, 272, 815, 1412, 7055, 825, 1747, 273, 815, 1412, 7055, 825, 1747, 274, 815, 1412, 7055, 825, 1747, 275, 815, 1412, 7055, 1038, 1948, 8196, 519, 9704, 1152, 454, 825, 1747, 272, 815, 5173, 5091, 580, 1080, 12759, 17301, 3287, 264, 910, 476, 272, 4917, 825, 952, 7003, 3287, 264, 2652, 476, 273, 912, 1038, 1948, 8196, 9704, 543, 9937, 314, 271, 2639, 1038, 1820, 3287, 994, 825, 8640, 703, 3287, 264, 2999, 476, 1789, 912, 1038, 1820, 2891, 1607, 568, 476, 736, 5602, 1038, 1948, 8196, 9937, 314, 272, 316, 543, 9704, 454, 825, 8640, 703, 3287, 264, 2999, 476, 2412, 912, 1038, 1820, 2891, 1607, 568, 476, 1789, 5602, 1038, 1948, 8196, 9937, 314, 272, 316, 543, 9704, 454, 825, 8640, 703, 3287, 264, 2999, 476, 2004, 912, 1038, 1948, 8196, 9937, 314, 272, 316, 543, 9704, 454, 1038, 1820, 2891, 1607, 568, 476, 2412, 5602, 825, 8640, 7003, 19304, 3287, 4297, 2652, 476, 275, 912, 1038, 1747, 272, 815, 9704, 27776, 19304, 3287, 314, 271, 316, 4297, 910, 476, 272, 316, 1341, 476, 1412, 1412, 1341, 24909, 314, 272, 2639, 1038, 585, 1775, 538, 2039, 263, 271, 267, 476, 1015, 2187, 2018, 952, 703, 3287, 314, 273, 8079, 2652, 630, 328, 2187, 3546, 1747, 274, 815, 9937, 5157, 2639, 2018, 952, 703, 3287, 314, 6352, 3287, 264, 910, 476, 272, 8079, 2652, 630, 328, 1341, 476, 272, 2187, 3546, 1747, 275, 815, 9704, 5157, 2639, 2018, 952, 703, 3287, 314, 272, 8079, 2652, 476, 271, 912, 3546, 1747, 273, 815, 1412, 543, 1412, 454, 1038, 1747, 273, 815, 9704, 27776, 3287, 314, 272, 8079, 910, 476, 272, 316, 1341, 1412, 1412, 1341, 24909, 314, 271, 2639, 1038, 2132, 1747, 272, 1341, 1412, 1412, 1341, 1747, 273, 1341, 1412, 543, 1412, 1341, 1747, 274, 1341, 1412, 1412, 1341, 1747, 275, 454, 2745, 263, 935, 3200, 28840, 11723, 3698, 5173, 5091, 580, 1080, 3287, 2187, 825, 2132, 9704, 27776, 3287, 264, 910, 476, 272, 6540, 3698, 5173, 4671, 839, 3287, 2187, 825, 2132, 9937, 17301, 3287, 11723, 3698, 5173, 20189, 4348, 338, 3287, 2187, 825, 1820, 3287, 9239, 0, 258, 1193, 815, 1412, 15916, 2622, 7055, 258, 1820, 19304, 994, 3698, 4017, 3799, 2187, 453, 320, 14720, 815, 476, 271, 267, 272, 454, 453, 6112, 6357, 2999, 562, 2187, 453, 13537, 6357, 267, 1439, 815, 1412, 30386, 453, 453, 320, 14720, 815, 536, 267, 513, 1341, 536, 454, 13537, 4590, 325, 756, 263, 1911, 994, 5228, 2979, 1104, 14039, 454, 2745, 263, 7032, 2020, 1721, 1535, 538, 2039, 263, 273, 267, 1911, 2187, 22610, 562, 538, 2039, 263, 273, 267, 1535, 2187, 453, 14851, 3287, 4939, 562, 2652, 476, 271, 2187, 4848, 453, 19874, 454, 28432, 912, 453, 13537, 3287, 267, 1439, 284, 3299, 10807, 3248, 2745, 8443, 1598, 263, 1037, 263, 7032, 267, 1775, 4297, 585, 1775, 538, 2039, 263, 272, 267, 276, 264, 7481, 0, 5814, 1770, 11687, 454, 5228, 2831, 1104, 2608, 692, 5035, 4530, 27154, 32325, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 15981, 4147, 547, 1449, 519, 2831, 18258, 10960, 1362, 543, 2409, 15981, 692, 825, 7711, 5035, 24709, 454, 825, 1219, 1305, 10000, 12218, 4311, 2187, 1038, 15981, 8073, 606, 3236, 540, 606, 3662, 543, 513, 2915, 547, 1449, 1346, 5049, 15981, 692, 1038, 1582, 20508, 815, 834, 310, 4883, 773, 4840, 1038, 1582, 4732, 23853, 815, 834, 289, 792, 4840, 1038, 1582, 269, 3240, 318, 534, 2711, 815, 10960, 4311, 20508, 267, 1582, 4732, 23853, 994, 1038, 1582, 269, 3240, 5091, 690, 815, 13928, 2891, 293, 18480, 15419, 825, 1219, 1449, 318, 534, 2711, 12173, 4311, 2187, 1038, 15981, 18873, 952, 519, 3662, 543, 2915, 814, 519, 2953, 2012, 543, 2249, 18257, 692, 1038, 1582, 27863, 4311, 269, 3240, 318, 534, 2711, 20508, 267, 834, 310, 4883, 773, 5602, 1038, 1582, 27863, 4311, 269, 3240, 318, 534, 2711, 4732, 23853, 267, 834, 289, 792, 5602, 1038, 1582, 27863, 4311, 269, 3240, 5091, 690, 20508, 267, 834, 293, 18480, 5602, 1038, 1582, 27863, 4311, 269, 3240, 5091, 690, 4732, 23853, 267, 834, 291, 690, 15419, 825, 1219, 1449, 318, 534, 2711, 5334, 32497, 4311, 2187, 1038, 5727, 30498, 10960, 543, 13928, 7953, 547, 476, 275, 543, 4255, 3432, 693, 1547, 275, 585, 10960, 543, 1547, 279, 585, 13928, 29185, 1038, 1582, 269, 5586, 338, 815, 476, 275, 454, 1038, 1582, 269, 3240, 318, 534, 2711, 15630, 318, 5586, 338, 4311, 269, 5586, 338, 994, 1038, 1582, 269, 3240, 318, 534, 2711, 9884, 1779, 4590, 1038, 1582, 269, 3240, 5091, 690, 15630, 318, 5586, 338, 4311, 269, 5586, 338, 994, 1038, 1582, 269, 3240, 5091, 690, 9884, 1779, 10797, 1038, 1582, 27863, 4311, 269, 3240, 318, 534, 2711, 4732, 32497, 267, 1547, 275, 994, 1038, 1582, 27863, 4311, 269, 3240, 5091, 690, 4732, 32497, 267, 1547, 279, 2020, 825, 1219, 1449, 318, 534, 2711, 318, 15953, 318, 529, 318, 27349, 15058, 318, 534, 2711, 4311, 2187, 1038, 5727, 18873, 952, 3662, 1843, 568, 606, 10960, 1362, 543, 2915, 1843, 568, 513, 13928, 1362, 29185, 1038, 1582, 20596, 3674, 9743, 766, 4311, 269, 3240, 318, 534, 2711, 267, 10960, 994, 1038, 1582, 20596, 3674, 9743, 766, 4311, 269, 3240, 5091, 690, 267, 13928, 994, 0, 5035, 8562, 983, 20075, 826, 1384, 825, 1948, 20472, 528, 267, 799, 5932, 513, 1007, 8900, 20313, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4390, 2187, 1038, 952, 711, 568, 27349, 263, 5115, 13369, 267, 703, 264, 610, 4390, 10922, 476, 271, 912, 2018, 6318, 1401, 4003, 3488, 22479, 13369, 18438, 5073, 1038, 1582, 14857, 19477, 815, 11713, 1038, 1582, 14857, 5115, 13369, 815, 4390, 454, 1038, 1582, 14857, 12248, 815, 476, 271, 454, 1038, 1582, 14857, 3650, 815, 476, 271, 454, 1038, 1582, 14857, 18571, 815, 476, 271, 692, 825, 1219, 679, 28255, 4311, 267, 6221, 2187, 1038, 952, 1582, 14857, 12248, 2652, 1582, 14857, 5115, 13369, 912, 2018, 6318, 1401, 4003, 3488, 13286, 281, 6581, 826, 568, 2407, 5073, 1038, 952, 7003, 4311, 14857, 19477, 264, 2999, 1582, 14857, 5115, 13369, 912, 2018, 1582, 14857, 19477, 6910, 263, 14403, 994, 1038, 3116, 912, 2018, 1582, 14857, 19477, 314, 1345, 14857, 18571, 316, 815, 6221, 454, 2018, 1582, 14857, 12248, 6834, 476, 272, 454, 2018, 1582, 14857, 18571, 815, 630, 1345, 14857, 18571, 1341, 476, 272, 264, 4939, 1582, 14857, 5115, 13369, 692, 825, 1948, 3816, 7174, 543, 7024, 519, 4395, 910, 1034, 6221, 538, 519, 20313, 563, 825, 1948, 16849, 4986, 952, 519, 20313, 568, 8900, 563, 825, 1219, 632, 28255, 4311, 2187, 1038, 952, 1582, 14857, 12248, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 3488, 13286, 281, 6581, 826, 568, 8900, 5073, 1038, 6221, 815, 1582, 14857, 19477, 314, 1345, 14857, 3650, 2639, 1038, 1582, 14857, 19477, 314, 1345, 14857, 3650, 316, 815, 7183, 454, 1038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18858, 13568, 2782, 267, 519, 2669, 540, 26194, 8432, 339, 639, 267, 9947, 334, 779, 32716, 1996, 519, 18858, 329, 753, 538, 519, 589, 2940, 573, 563, 313, 297, 281, 1403, 596, 1589, 540, 1018, 5949, 547, 32084, 267, 646, 1281, 1018, 646, 729, 3808, 547, 267, 855, 1287, 950, 646, 25395, 1018, 646, 1705, 1765, 330, 2683, 1010, 4651, 267, 11739, 696, 609, 1010, 3993, 1765, 515, 9420, 338, 5128, 269, 6271, 6169, 281, 15310, 636, 568, 9420, 267, 649, 1590, 2272, 585, 938, 968, 338, 1231, 892, 1256, 952, 649, 1705, 711, 917, 267, 799, 2306, 803, 1589, 540, 3397, 600, 655, 12061, 543, 519, 5169, 540, 513, 4909, 3390, 538, 3864, 2528, 281, 10456, 563, 763, 18858, 13568, 2112, 269, 898, 6238, 609, 519, 705, 9134, 540, 24796, 269, 634, 16380, 5531, 693, 589, 592, 529, 269, 3397, 600, 655, 12061, 4422, 10122, 282, 22613, 519, 25113, 540, 519, 31001, 540, 7186, 267, 3203, 28087, 267, 945, 7569, 15093, 540, 1010, 8250, 267, 594, 874, 3394, 807, 282, 19385, 14688, 267, 646, 1281, 621, 1317, 519, 12798, 786, 711, 9514, 282, 646, 4422, 547, 31684, 267, 2501, 1394, 267, 646, 4991, 7166, 676, 1010, 7385, 267, 595, 569, 339, 655, 333, 652, 571, 267, 945, 267, 547, 1285, 3188, 519, 2669, 540, 741, 8250, 267, 19754, 1864, 269, 634, 2083, 658, 10279, 8813, 593, 744, 6135, 525, 543, 5082, 571, 267, 519, 1079, 1453, 267, 945, 6146, 741, 3993, 267, 543, 945, 1590, 581, 7166, 269, 898, 568, 513, 2531, 3626, 1198, 269, 8409, 3238, 538, 519, 11318, 1590, 7985, 1932, 269, 4208, 286, 5221, 3397, 600, 655, 12061, 26968, 5944, 18084, 519, 6302, 540, 519, 31001, 25113, 269, 22695, 528, 766, 267, 899, 538, 32084, 779, 2013, 267, 568, 1100, 28195, 538, 519, 4064, 540, 519, 10971, 269, 7053, 267, 21011, 18060, 525, 1317, 744, 6135, 525, 543, 5082, 571, 1131, 723, 547, 581, 13401, 585, 11318, 741, 3993, 267, 799, 789, 1185, 547, 798, 563, 763, 5837, 568, 281, 966, 3188, 766, 568, 711, 9553, 282, 547, 798, 5126, 649, 723, 547, 4483, 621, 547, 519, 791, 5966, 11769, 267, 519, 3557, 282, 1920, 2818, 3112, 3169, 5126, 269, 1772, 713, 865, 286, 1772, 713, 519, 1448, 1141, 543, 950, 3864, 10340, 5956, 1107, 609, 519, 6284, 540, 2870, 513, 1062, 1141, 4664, 1590, 581, 5828, 1055, 286, 14348, 596, 3858, 609, 971, 513, 18572, 888, 7876, 281, 594, 9327, 1406, 2322, 621, 3833, 602, 1259, 269, 674, 622, 3884, 1406, 9420, 282, 649, 616, 269, 8621, 691, 807, 3085, 1406, 1611, 968, 7562, 2223, 855, 2864, 968, 332, 1170, 532, 519, 1665, 2223, 968, 14708, 606, 5470, 538, 10385, 2223, 799, 568, 1018, 32084, 1705, 950, 646, 2219, 646, 1223, 2057, 16180, 519, 522, 20432, 602, 646, 1131, 6146, 1010, 4651, 543, 19533, 1010, 3993, 676, 6028, 29833, 267, 543, 519, 1004, 646, 2219, 941, 1010, 4651, 543, 3993, 267, 799, 13087, 1864, 547, 11886, 519, 522, 20432, 676, 16144, 585, 634, 15816, 269, 3004, 3022, 344, 19595, 721, 540, 713, 4909, 1480, 8467, 269, 1284, 2141, 917, 1447, 982, 649, 1589, 649, 917, 269, 3004, 3022, 344, 2636, 721, 547, 2490, 938, 4664, 593, 267, 543, 547, 2992, 593, 519, 7687, 540, 938, 1378, 1702, 563, 313, 297, 281, 2913, 803, 3136, 676, 3001, 547, 513, 2027, 1888, 281, 5375, 31511, 269, 769, 589, 525, 577, 2643, 639, 685, 6431, 2103, 267, 519, 31075, 2306, 519, 14655, 4622, 6432, 547, 1010, 25129, 267, 547, 1174, 602, 519, 16380, 1827, 2933, 538, 606, 538, 1260, 11772, 1043, 1259, 281, 789, 616, 18170, 676, 519, 1082, 267, 711, 835, 4622, 269, 634, 7778, 2501, 950, 519, 14655, 14710, 568, 1175, 827, 547, 4755, 269, 2913, 803, 1448, 856, 267, 952, 519, 16380, 941, 547, 6336, 267, 972, 1131, 581, 1100, 9111, 267, 1100, 14081, 952, 519, 6431, 2103, 941, 547, 28117, 543, 20630, 7977, 267, 1100, 1062, 540, 2229, 602, 649, 1491, 585, 11292, 2221, 563, 310, 3480, 10340, 568, 513, 1950, 11769, 267, 3710, 936, 1079, 8536, 1296, 855, 519, 2243, 568, 1018, 616, 922, 13210, 267, 519, 5820, 1510, 799, 621, 1131, 711, 2291, 269, 1879, 594, 4001, 594, 946, 606, 3239, 540, 1018, 649, 1289, 538, 3013, 281, 513, 13621, 1494, 267, 855, 621, 568, 513, 5375, 595, 643, 269, 1494, 281, 1934, 616, 1250, 5820, 281, 634, 6014, 20324, 10041, 2290, 2696, 267, 2648, 707, 7023, 267, 538, 519, 4168, 1106, 267, 2648, 540, 782, 1866, 267, 824, 6082, 282, 5259, 12146, 568, 6138, 267, 6128, 267, 6189, 267, 13357, 267, 543, 9111, 282, 1250, 4936, 12146, 281, 4936, 1876, 267, 7245, 267, 6189, 630, 2117, 1127, 282, 6864, 9254, 551, 338, 267, 26434, 1070, 14081, 534, 1106, 540, 2229, 630, 18314, 20830, 1040, 1411, 3575, 621, 267, 596, 1205, 519, 2596, 8670, 281, 3864, 10340, 689, 799, 519, 5664, 12698, 543, 11193, 16204, 836, 269, 769, 621, 596, 723, 519, 13210, 540, 7073, 2342, 563, 21953, 267, 782, 540, 713, 568, 2221, 896, 4323, 281, 19525, 267, 10168, 267, 3765, 690, 2106, 344, 267, 13348, 8944, 269, 4208, 616, 649, 865, 796, 326, 3433, 995, 547, 519, 16380, 543, 14564, 286, 1411, 6170, 707, 1272, 538, 594, 341, 800, 18975, 269, 5020, 540, 519, 2247, 568, 519, 1034, 10475, 3364, 267, 543, 2943, 267, 621, 568, 519, 19174, 945, 616, 21006, 621, 563, 7876, 281, 6298, 30937, 18387, 1406, 1044, 606, 32334, 13486, 2094, 519, 2875, 26201, 540, 519, 3735, 476, 3422, 271, 338, 267, 607, 519, 1267, 540, 799, 21195, 2968, 5051, 2184, 545, 1242, 269, 6298, 12515, 543, 1053, 4941, 547, 1353, 2486, 779, 2042, 865, 789, 1223, 798, 1945, 827, 873, 269, 1358, 4941, 2962, 543, 1185, 1100, 942, 585, 8086, 269, 1548, 789, 4769, 1406, 543, 1869, 1810, 1406, 1174, 568, 602, 6616, 1945, 827, 519, 2250, 543, 1480, 2470, 1223, 948, 873, 1732, 547, 1174, 519, 1459, 563, 313, 297, 281, 11153, 1296, 3516, 267, 594, 3357, 2066, 519, 2012, 540, 513, 18142, 6259, 7214, 594, 3630, 29538, 620, 5174, 2544, 328, 6062, 267, 5449, 18142, 1744, 3120, 7027, 16588, 267, 945, 538, 606, 5967, 11331, 968, 310, 3480, 31511, 13201, 8644, 23306, 631, 1678, 785, 892, 1767, 1082, 1919, 602, 1906, 20485, 538, 3013, 1131, 723, 519, 10100, 547, 2161, 269, 3371, 621, 568, 281, 645, 2544, 328, 6062, 281, 968, 7069, 10182, 2509, 5375, 10340, 568, 606, 10182, 1759, 593, 6654, 5013, 543, 1390, 18517, 282, 1934, 568, 513, 4641, 2407, 540, 8748, 543, 5863, 1919, 269, 1496, 28403, 1944, 316, 713, 3085, 1406, 1611, 602, 594, 993, 9420, 569, 19832, 269, 901, 568, 519, 1360, 6587, 540, 519, 10182, 540, 1346, 945, 20912, 543, 11716, 519, 6505, 8279, 540, 5375, 10340, 269, 3807, 1413, 1472, 2507, 543, 596, 786, 5469, 602, 3388, 4190, 538, 938, 1272, 814, 1044, 3812, 676, 5375, 10340, 281, 1256, 519, 4050, 602, 596, 616, 8066, 538, 707, 1688, 267, 519, 10916, 6293, 538, 4395, 540, 596, 267, 519, 1769, 538, 713, 4055, 267, 543, 519, 4760, 538, 799, 596, 960, 267, 543, 1082, 7961, 10179, 762, 29319, 267, 799, 616, 899, 28986, 585, 519, 3504, 12977, 269, 1403, 621, 941, 711, 585, 519, 18517, 540, 519, 4639, 267, 938, 2729, 1131, 723, 1044, 3046, 1066, 269, 594, 1152, 1413, 1843, 1947, 543, 1871, 1175, 569, 1018, 594, 1294, 543, 2769, 621, 25473, 269, 5808, 1197, 1281, 711, 23507, 1390, 5898, 568, 513, 1268, 945, 19330, 8417, 267, 6492, 267, 543, 8343, 269, 5375, 10340, 814, 6603, 519, 21895, 540, 2257, 543, 2029, 269, 898, 814, 6913, 1702, 267, 1983, 267, 543, 1007, 8906, 267, 607, 1100, 3105, 10340, 1354, 621, 269, 634, 18517, 540, 5375, 10340, 3382, 782, 2127, 540, 1272, 281, 2409, 540, 3919, 267, 6214, 267, 7881, 267, 9297, 267, 543, 1480, 2924, 269, 898, 568, 938, 17185, 547, 11760, 922, 5863, 17284, 269, 11569, 267, 713, 568, 513, 10340, 602, 19262, 25621, 2507, 634, 29695, 18807, 1145, 538, 799, 930, 6082, 2661, 568, 519, 17149, 1267, 540, 741, 30671, 547, 3398, 713, 1496, 629, 1495, 766, 540, 5375, 2093, 543, 22649, 316, 1247, 2921, 9675, 538, 24677, 543, 818, 5766, 766, 3034, 8072, 302, 330, 1794, 281, 968, 306, 597, 267, 596, 666, 23507, 713, 10340, 607, 1454, 607, 596, 1616, 267, 855, 711, 693, 519, 13258, 540, 1866, 267, 2523, 938, 1378, 10340, 3034, 289, 2544, 328, 6062, 281, 968, 7069, 25621, 585, 519, 4639, 568, 711, 693, 519, 13258, 540, 1866, 282, 2864, 267, 621, 568, 606, 27592, 547, 1346, 1866, 547, 11760, 741, 2192, 16272, 543, 979, 3564, 741, 17071, 640, 543, 5391, 4733, 2933, 689, 18807, 1145, 269, 1496, 17829, 1866, 316, 1058, 16153, 741, 28919, 267, 543, 1118, 606, 4674, 547, 7753, 873, 282, 789, 1058, 3247, 27102, 519, 5168, 543, 14656, 741, 4064, 547, 519, 21318, 540, 8748, 10781, 269, 1358, 1058, 581, 4023, 2509, 1346, 6082, 602, 6913, 13884, 585, 2933, 855, 1705, 711, 30049, 1125, 621, 585, 2933, 543, 3079, 4847, 519, 2898, 1158, 547, 2671, 519, 2164, 540, 713, 3356, 267, 865, 602, 824, 6082, 540, 519, 2898, 1158, 1631, 2972, 891, 10781, 269, 5015, 267, 5375, 10340, 814, 2016, 547, 519, 1158, 1702, 543, 1983, 799, 1500, 621, 2009, 585, 873, 267, 519, 1875, 8862, 3480, 6082, 267, 547, 14526, 609, 621, 538, 2504, 543, 2671, 6990, 609, 621, 269, 7600, 545, 1944, 835, 779, 1378, 19518, 568, 513, 26608, 1288, 547, 1802, 1424, 13951, 547, 1689, 585, 519, 1732, 269, 17957, 267, 547, 1350, 528, 1518, 835, 779, 18807, 3284, 24602, 1582, 568, 547, 3715, 543, 6830, 1518, 18807, 1145, 267, 547, 7794, 519, 695, 871, 956, 540, 3284, 4331, 267, 543, 547, 30817, 519, 7207, 540, 17284, 269, 7982, 1189, 1145, 568, 513, 17847, 995, 4641, 267, 799, 649, 1058, 26416, 543, 689, 799, 649, 1590, 5391, 4733, 6000, 3034, 1432, 568, 707, 5114, 547, 620, 5174, 2544, 328, 6062, 779, 3948, 888, 7876, 281, 594, 3858, 609, 1018, 646, 3081, 269, 634, 1053, 945, 669, 5896, 968, 310, 3480, 595, 643, 814, 3893, 547, 979, 892, 941, 1152, 6236, 519, 17498, 728, 540, 5375, 595, 643, 267, 799, 568, 7168, 1454, 519, 17498, 728, 540, 1480, 2470, 3622, 267, 10845, 267, 5208, 267, 1582, 268, 698, 6588, 526, 1125, 618, 267, 3092, 269, 18573, 543, 17127, 4951, 721, 2081, 538, 799, 782, 1004, 1223, 1291, 811, 16268, 2729, 267, 855, 741, 22649, 1705, 2370, 547, 2232, 1514, 2152, 267, 899, 15746, 540, 1978, 1004, 267, 971, 607, 10437, 563, 313, 297, 281, 1703, 568, 513, 12402, 2221, 547, 1175, 979, 936, 3909, 5389, 630, 680, 1116, 264, 607, 952, 4984, 729, 2760, 851, 540, 1022, 2528, 269, 4208, 798, 649, 7500, 538, 713, 3909, 12511, 543, 875, 1281, 621, 1073, 325, 19895, 622, 938, 1620, 540, 1312, 4165, 18709, 543, 7073, 640, 286, 1411, 4440, 917, 519, 7260, 31684, 609, 17659, 623, 8636, 269, 898, 568, 267, 538, 1250, 6644, 267, 513, 1360, 1134, 1673, 821, 7260, 269, 1717, 267, 1482, 3364, 281, 1100, 10971, 256, 7831, 1032, 538, 5437, 267, 9478, 9210, 7322, 5206, 513, 8799, 4062, 585, 519, 9931, 9335, 4750, 827, 774, 1075, 11770, 1938, 269, 594, 2141, 2972, 4466, 1945, 899, 602, 269, 634, 2140, 540, 621, 568, 968, 14532, 17214, 676, 9093, 267, 711, 29331, 1848, 1677, 11716, 10971, 568, 547, 4413, 519, 1448, 540, 519, 594, 2993, 611, 269, 29331, 616, 607, 1271, 607, 3425, 269, 594, 3314, 11184, 15584, 5685, 2917, 779, 1896, 4930, 827, 24198, 267, 4171, 4693, 267, 2687, 547, 1864, 729, 12592, 547, 513, 1804, 6708, 676, 519, 27421, 602, 646, 2731, 1705, 711, 3494, 538, 519, 10971, 267, 543, 519, 23723, 2103, 267, 19551, 1134, 519, 726, 8046, 602, 10272, 18603, 543, 10969, 730, 2551, 1282, 519, 2112, 267, 2219, 771, 10964, 3971, 729, 513, 3978, 1966, 269, 1548, 568, 707, 2070, 1934, 950, 621, 2501, 547, 2921, 3909, 5784, 12517, 286, 2052, 835, 1174, 2528, 267, 10255, 543, 7507, 267, 538, 1880, 267, 676, 3274, 6031, 1107, 14868, 267, 10971, 7498, 7876, 281, 594, 3494, 602, 596, 3112, 1174, 3504, 5259, 3332, 267, 1686, 610, 6138, 8259, 596, 1491, 2272, 540, 3504, 5259, 4984, 269, 4014, 621, 779, 2182, 585, 721, 547, 1174, 267, 5259, 18381, 630, 296, 4782, 602, 2165, 547, 13299, 264, 17648, 602, 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 ]
[ 602, 4743, 540, 804, 4923, 612, 609, 1010, 4651, 269, 9861, 607, 1498, 646, 1705, 711, 723, 602, 5256, 1909, 1282, 1010, 3395, 909, 646, 666, 711, 1745, 602, 2631, 540, 2648, 4947, 689, 2901, 2385, 799, 3361, 1864, 547, 2097, 909, 609, 519, 24178, 3961, 2203, 538, 1010, 1378, 2853, 563, 26466, 644, 4769, 1405, 4010, 6427, 519, 2856, 540, 519, 6857, 8957, 17499, 2247, 267, 855, 646, 6157, 729, 3743, 585, 1818, 621, 2442, 269, 634, 6857, 2247, 568, 1018, 596, 616, 3222, 540, 693, 1022, 1880, 4090, 267, 707, 1459, 11994, 267, 8823, 267, 4555, 267, 6720, 553, 625, 267, 4606, 267, 1018, 723, 596, 269, 11554, 5702, 609, 519, 6857, 2247, 568, 1018, 22506, 1572, 519, 840, 10940, 267, 1018, 649, 1522, 2221, 1289, 834, 19989, 3965, 281, 257, 4376, 602, 666, 3362, 581, 1500, 6857, 267, 519, 8823, 596, 616, 711, 693, 519, 4090, 3206, 827, 855, 666, 11593, 3142, 547, 2247, 269, 3767, 1100, 14633, 814, 513, 1966, 609, 891, 1079, 6106, 540, 2247, 269, 1809, 22506, 6700, 602, 891, 616, 519, 10545, 2694, 2336, 26466, 644, 2813, 513, 2631, 540, 2706, 24178, 1141, 596, 4835, 1125, 519, 15366, 4441, 267, 2093, 267, 543, 10238, 1431, 269, 4595, 661, 686, 802, 517, 1185, 1100, 3237, 547, 2697, 609, 1010, 2631, 540, 4441, 941, 9039, 343, 11962, 269, 1261, 1185, 513, 4743, 540, 17071, 640, 538, 882, 2483, 1862, 1647, 540, 1957, 4429, 1862, 335, 282, 30052, 267, 3025, 23119, 689, 17071, 640, 538, 835, 1106, 610, 1776, 269, 1280, 1383, 267, 1520, 2401, 3459, 1010, 7811, 960, 6236, 1418, 17071, 640, 267, 602, 568, 267, 519, 1249, 602, 1142, 540, 721, 814, 21260, 267, 607, 1134, 607, 6793, 267, 2694, 540, 938, 14169, 610, 17550, 269, 2368, 540, 721, 616, 4535, 609, 2295, 9597, 332, 2720, 267, 610, 1020, 2295, 2042, 2038, 538, 1272, 282, 2368, 723, 4617, 9641, 267, 610, 14401, 267, 610, 2038, 6797, 2042, 282, 2368, 540, 721, 588, 13616, 610, 561, 7371, 282, 2368, 723, 3987, 267, 610, 10447, 267, 610, 29887, 282, 2368, 723, 4617, 4064, 267, 610, 4057, 6217, 267, 610, 513, 4057, 25946, 1155, 282, 2368, 540, 721, 723, 17916, 21274, 547, 1373, 5230, 267, 1866, 547, 1373, 2960, 5500, 282, 2368, 540, 721, 616, 1427, 12023, 267, 930, 540, 721, 616, 632, 11526, 282, 2368, 540, 721, 616, 1768, 1026, 569, 7381, 610, 1768, 1026, 569, 2110, 282, 1656, 865, 593, 543, 865, 593, 563, 13828, 661, 686, 802, 517, 543, 29124, 22234, 1114, 7907, 602, 666, 581, 11911, 547, 824, 16895, 547, 6218, 2933, 543, 741, 2773, 538, 519, 1158, 540, 6530, 269, 3962, 1114, 17695, 626, 2813, 513, 1114, 9295, 547, 6530, 543, 9444, 835, 568, 1318, 610, 4636, 269, 898, 568, 909, 547, 1142, 1367, 1268, 547, 1711, 741, 1378, 3239, 540, 1018, 568, 1318, 610, 4636, 543, 1018, 789, 1616, 547, 4001, 538, 741, 2729, 543, 946, 538, 741, 1169, 1554, 1272, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 16065, 16214, 4643, 634, 6268, 1184, 585, 3610, 568, 835, 602, 1058, 6536, 2208, 585, 519, 4116, 799, 6038, 5012, 547, 2208, 676, 519, 1053, 269, 10988, 760, 1023, 543, 824, 2976, 2209, 723, 519, 2702, 547, 948, 1332, 513, 4116, 779, 3450, 2702, 998, 4928, 2035, 267, 2623, 10372, 267, 4928, 2359, 267, 543, 2123, 4205, 609, 1053, 269, 10988, 760, 1023, 949, 711, 723, 519, 2706, 2647, 1543, 1702, 3490, 547, 18973, 3610, 4481, 538, 1543, 2127, 855, 741, 6791, 609, 519, 2069, 1062, 3294, 1058, 948, 3610, 1332, 24015, 2807, 1496, 15912, 281, 11819, 267, 4065, 267, 16214, 267, 3427, 2639, 12553, 271, 1913, 630, 274, 269, 278, 3817, 994, 268, 1703, 616, 1896, 4128, 3906, 20006, 2773, 20241, 267, 2705, 519, 3044, 3483, 585, 2773, 20241, 568, 547, 1865, 2773, 6788, 282, 711, 1152, 689, 519, 12820, 5133, 855, 547, 4497, 538, 513, 6101, 5698, 1141, 519, 9441, 543, 519, 9614, 616, 1312, 2111, 547, 1683, 5955, 538, 513, 6101, 11407, 269, 1703, 616, 1082, 1114, 3157, 606, 3919, 1058, 1246, 950, 3384, 922, 2773, 6268, 1907, 282, 538, 1840, 1898, 4162, 602, 1590, 13173, 606, 2500, 2773, 813, 26150, 1184, 2807, 1496, 15912, 281, 5274, 4199, 2359, 267, 16214, 267, 5004, 2639, 8660, 277, 1913, 630, 273, 269, 277, 3817, 994, 268, 901, 3184, 6799, 519, 12191, 4294, 538, 519, 6268, 269, 898, 11828, 519, 6268, 1935, 267, 6268, 1374, 267, 6268, 1974, 267, 1353, 2551, 267, 1770, 540, 2079, 267, 4632, 543, 741, 7403, 267, 3732, 2450, 543, 10386, 2553, 267, 2010, 543, 2959, 540, 1239, 267, 1239, 4015, 2409, 267, 14496, 2152, 267, 1239, 2359, 543, 2079, 2409, 543, 5683, 2152, 269, 476, 274, 269, 273, 16214, 1935, 4340, 547, 717, 23152, 326, 839, 25575, 321, 3626, 543, 918, 2224, 330, 630, 1220, 280, 1070, 972, 616, 1896, 6268, 4485, 799, 1331, 24233, 267, 1184, 267, 6364, 267, 2804, 543, 1764, 6268, 2807, 1496, 15912, 281, 16214, 267, 16214, 2409, 2639, 10441, 273, 1913, 630, 274, 3817, 994, 763, 8177, 540, 5900, 2056, 12054, 21577, 547, 519, 4886, 540, 519, 30551, 31853, 540, 11038, 5004, 4841, 454, 268, 634, 1353, 8214, 956, 827, 968, 763, 8177, 540, 5900, 2056, 12054, 21577, 547, 519, 4886, 540, 519, 30551, 31853, 540, 519, 11038, 5004, 4841, 6100, 634, 4901, 3323, 676, 10962, 1018, 568, 29468, 543, 922, 1292, 3483, 269, 12054, 21577, 948, 513, 2603, 547, 3262, 543, 1217, 519, 1004, 827, 1007, 1217, 725, 543, 2093, 269, 898, 2488, 849, 3255, 547, 519, 28752, 547, 2743, 543, 917, 6101, 7606, 538, 1114, 6080, 269, 634, 2956, 540, 29468, 1223, 849, 3986, 1983, 540, 519, 28752, 4481, 519, 10763, 5578, 540, 513, 1268, 2807, 1496, 15912, 281, 8804, 267, 10763, 5578, 267, 29468, 2639, 2735, 272, 1913, 630, 276, 269, 278, 3817, 994, 268, 4985, 25398, 6268, 568, 513, 2165, 602, 3947, 513, 6609, 540, 519, 4879, 3356, 602, 2636, 6267, 547, 1582, 3887, 1998, 10663, 741, 2773, 1927, 609, 602, 540, 824, 6267, 269, 25398, 6268, 568, 513, 3407, 4879, 602, 568, 2838, 538, 519, 3919, 269, 7102, 6109, 602, 28352, 9263, 6268, 814, 5638, 540, 1164, 7607, 269, 634, 2754, 3096, 1344, 689, 519, 6364, 540, 519, 4879, 547, 2087, 593, 519, 2324, 2175, 540, 519, 4600, 269, 769, 1840, 267, 6267, 945, 616, 18689, 25808, 540, 9263, 6268, 723, 519, 4305, 540, 12570, 519, 3206, 12588, 540, 741, 9263, 2818, 543, 2268, 875, 741, 9295, 1223, 4324, 519, 3919, 2807, 1496, 15912, 281, 16214, 267, 10495, 267, 12243, 267, 4804, 2639, 5197, 275, 1913, 630, 276, 269, 273, 3817, 994, 268, 16214, 4937, 3502, 687, 9717, 519, 6654, 2565, 2956, 540, 519, 5907, 543, 2780, 1242, 1949, 585, 15096, 5825, 267, 621, 568, 849, 1898, 547, 6218, 519, 1644, 6286, 602, 552, 2975, 5825, 786, 267, 610, 1522, 267, 723, 593, 519, 1646, 540, 519, 1072, 1416, 538, 519, 2197, 269, 2201, 519, 824, 1688, 267, 519, 6268, 540, 519, 1761, 6286, 540, 519, 1360, 6388, 540, 519, 552, 2975, 308, 2856, 538, 519, 12823, 540, 2404, 3790, 267, 5234, 2877, 267, 2866, 543, 2069, 2838, 568, 849, 1898, 269, 4340, 547, 744, 1069, 2335, 543, 18637, 3205, 630, 1220, 277, 267, 533, 2807, 1496, 15912, 281, 16214, 2639, 15686, 280, 1913, 630, 274, 269, 275, 3817, 994, 268, 4065, 568, 519, 1184, 676, 799, 649, 1451, 540, 519, 2250, 543, 1459, 538, 1931, 547, 3337, 519, 2104, 543, 8309, 547, 519, 936, 22433, 1646, 540, 1142, 1367, 630, 2171, 14852, 1299, 20646, 7236, 267, 476, 3192, 274, 1040, 1306, 971, 267, 519, 3872, 1184, 543, 3292, 616, 15747, 585, 4657, 519, 1158, 269, 5244, 599, 1299, 670, 817, 630, 1220, 271, 1070, 11225, 6437, 607, 782, 519, 2833, 602, 1367, 6267, 723, 538, 513, 10872, 540, 2069, 4171, 3483, 568, 547, 3035, 3376, 3853, 543, 1644, 1808, 3615, 267, 799, 568, 9709, 538, 2474, 540, 513, 5943, 540, 3069, 267, 610, 2250, 543, 1459, 3318, 26821, 2807, 1496, 15912, 281, 6437, 6268, 267, 7641, 4953, 267, 2069, 2639, 14689, 275, 1913, 630, 275, 269, 277, 3817, 994, 268, 634, 1079, 28466, 602, 2097, 547, 2247, 950, 519, 2165, 610, 519, 1641, 540, 25164, 4519, 568, 590, 10176, 1495, 22506, 543, 14161, 28044, 269, 1488, 7666, 2406, 519, 15713, 18971, 540, 519, 25164, 24608, 3069, 538, 6530, 269, 5637, 2367, 723, 2147, 5784, 855, 3442, 1114, 2081, 547, 2097, 827, 1346, 2093, 269, 22506, 1373, 4583, 585, 1010, 5784, 543, 1373, 2808, 519, 4651, 540, 25164, 4519, 543, 519, 8561, 540, 519, 17499, 2247, 269, 589, 1246, 518, 540, 22506, 855, 9969, 7517, 609, 930, 540, 1010, 6436, 4929, 28044, 547, 2736, 1055, 543, 1711, 1010, 1378, 6436, 538, 519, 7104, 17499, 2807, 1496, 15912, 281, 14161, 28044, 267, 590, 10176, 1495, 22506, 267, 1133, 10940, 2247, 267, 9650, 2639, 14341, 275, 1913, 630, 275, 269, 277, 3817, 994, 268, 1703, 616, 1082, 4145, 602, 3610, 723, 827, 3652, 543, 6042, 538, 2069, 269, 13689, 2390, 519, 3610, 685, 1445, 2127, 267, 789, 1522, 581, 14126, 827, 519, 1646, 540, 2027, 2069, 282, 952, 741, 3119, 1445, 568, 7619, 923, 267, 789, 616, 7255, 827, 1780, 1315, 1404, 282, 952, 513, 4116, 568, 538, 5279, 540, 606, 3919, 602, 568, 538, 991, 540, 3063, 7482, 267, 789, 616, 14126, 827, 519, 1007, 3652, 7282, 2508, 24597, 602, 2070, 986, 742, 956, 607, 13989, 269, 2353, 538, 782, 267, 789, 782, 723, 16048, 4145, 269, 634, 1007, 4116, 6268, 1062, 267, 2705, 267, 4667, 547, 581, 519, 1034, 4143, 267, 10296, 6161, 2807, 1496, 15912, 281, 4116, 6268, 1949, 2639, 16825, 274, 1913, 630, 275, 269, 273, 3817, 994, 268, 9400, 654, 3326, 8583, 2278, 540, 2048, 26466, 644, 685, 729, 835, 540, 519, 1034, 13747, 543, 11327, 15806, 540, 1010, 5108, 269, 1261, 1500, 513, 1713, 9295, 547, 519, 2022, 2112, 30436, 540, 3703, 6138, 543, 607, 1010, 4876, 4797, 1010, 960, 8057, 20406, 811, 1367, 267, 3638, 543, 22192, 630, 763, 8648, 476, 1220, 274, 1040, 1280, 654, 3326, 8583, 25164, 4519, 729, 2629, 547, 1010, 2123, 19773, 543, 5129, 513, 4909, 1909, 538, 10747, 1010, 19773, 593, 1148, 269, 901, 729, 10630, 538, 1010, 7555, 607, 606, 8956, 776, 4759, 540, 519, 5842, 12770, 5369, 15351, 3315, 3749, 4659, 543, 8956, 776, 24988, 540, 519, 3703, 5369, 15351, 3315, 3749, 5980, 2807, 1496, 15912, 281, 22506, 10749, 2639, 13923, 280, 1913, 630, 275, 269, 275, 3817, 264, 0, 2026, 12194, 3136, 547, 1332, 936, 519, 2360, 540, 2916, 1689, 267, 519, 5201, 5823, 568, 849, 3257, 922, 3787, 547, 1711, 2973, 267, 3039, 1648, 269, 2060, 519, 4397, 3262, 540, 5122, 6165, 883, 1082, 824, 3156, 936, 519, 1985, 1906, 5756, 267, 621, 568, 1869, 4105, 547, 581, 3222, 540, 5122, 3106, 543, 519, 1761, 4220, 269, 901, 568, 1141, 5122, 15945, 543, 519, 2533, 540, 513, 13931, 3167, 1014, 538, 17842, 666, 2097, 538, 3730, 563, 25821, 640, 568, 2479, 1790, 6974, 538, 1004, 779, 5321, 1631, 855, 621, 1869, 11438, 11999, 4220, 547, 1072, 1107, 1256, 4657, 513, 1769, 15941, 814, 922, 12178, 269, 5221, 540, 713, 621, 568, 1271, 547, 2327, 7622, 543, 9036, 14233, 616, 5781, 13761, 543, 6854, 538, 2324, 1931, 269, 8307, 606, 5122, 6300, 543, 513, 13931, 3167, 1014, 666, 2327, 713, 563, 25821, 640, 568, 4742, 606, 1256, 15777, 2707, 540, 1648, 454, 288, 3118, 689, 519, 16160, 2360, 540, 5599, 543, 8781, 8093, 10173, 267, 519, 946, 540, 5122, 1379, 568, 606, 4244, 2707, 540, 1648, 602, 568, 2186, 547, 519, 1604, 269, 2060, 519, 13557, 540, 519, 2197, 779, 5201, 3812, 676, 32394, 1797, 267, 4516, 568, 1305, 909, 585, 713, 13476, 7888, 2259, 543, 972, 616, 849, 4566, 547, 6108, 7366, 540, 17542, 540, 9489, 593, 21130, 30333, 5989, 1063, 1631, 543, 476, 10711, 271, 563, 763, 5826, 540, 5122, 3937, 568, 1883, 547, 2973, 267, 2500, 5122, 1379, 543, 972, 616, 513, 1297, 540, 4128, 1946, 14286, 538, 891, 2127, 666, 979, 593, 547, 2014, 1713, 6937, 547, 1004, 779, 2729, 269, 24771, 3601, 538, 1880, 616, 1419, 3710, 609, 25146, 8440, 547, 1852, 5122, 1949, 267, 2864, 982, 519, 811, 2500, 543, 10930, 30517, 4216, 269, 6601, 6033, 10833, 616, 519, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 777, 13681, 15606, 284, 271, 454, 516, 22238, 15606, 284, 271, 454, 1721, 535, 538, 2039, 263, 1015, 2187, 825, 711, 320, 25507, 9272, 2891, 28808, 516, 572, 3288, 711, 320, 281, 27363, 825, 952, 711, 320, 285, 284, 278, 912, 1038, 513, 22238, 15606, 284, 777, 13681, 15606, 266, 272, 454, 825, 3116, 912, 1038, 1065, 13681, 15606, 284, 516, 22238, 15606, 266, 272, 454, 2745, 2891, 290, 656, 21059, 632, 513, 22238, 15606, 5602, 2745, 263, 777, 13681, 15606, 994, 2745, 2891, 290, 656, 21059, 632, 1065, 13681, 15606, 5602, 2745, 263, 516, 22238, 15606, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 340, 12163, 5632, 322, 318, 294, 4916, 22710, 18258, 630, 1015, 270, 1001, 278, 994, 24280, 519, 15870, 942, 585, 595, 787, 24382, 520, 268, 273, 1239, 585, 14291, 689, 570, 9590, 942, 547, 27635, 454, 825, 676, 12719, 519, 1297, 540, 20014, 7643, 602, 723, 5293, 585, 1142, 15870, 942, 692, 17780, 13148, 593, 570, 858, 1415, 5681, 11302, 322, 2297, 781, 23285, 7503, 5690, 454, 825, 4179, 2517, 4178, 269, 663, 4319, 338, 12975, 270, 349, 16379, 338, 270, 5503, 935, 341, 270, 5503, 14607, 3596, 332, 11258, 692, 2562, 303, 308, 4811, 912, 825, 1554, 281, 1554, 6712, 540, 4266, 4756, 454, 825, 2034, 281, 7643, 6712, 540, 4266, 4756, 454, 825, 8020, 5913, 281, 2890, 572, 6948, 6712, 540, 4266, 4756, 692, 303, 312, 8025, 2177, 667, 7968, 21715, 2894, 5746, 2464, 912, 825, 11885, 281, 11660, 17270, 13088, 1280, 5124, 630, 10059, 2517, 31596, 3820, 2020, 308, 11520, 12442, 25886, 912, 825, 18838, 476, 1015, 270, 1001, 278, 454, 12163, 5814, 11885, 607, 5286, 692, 258, 734, 623, 7838, 303, 5308, 292, 281, 12433, 519, 15870, 942, 630, 572, 6948, 2094, 3967, 476, 277, 267, 476, 2735, 271, 476, 876, 281, 876, 281, 876, 994, 3698, 18287, 318, 294, 4916, 22710, 263, 1485, 267, 2034, 267, 8020, 5913, 2187, 825, 1948, 734, 570, 9590, 942, 568, 6619, 540, 15870, 676, 476, 866, 7643, 454, 825, 2132, 630, 1485, 1341, 476, 278, 1789, 271, 269, 271, 12684, 279, 5038, 876, 269, 271, 1341, 2034, 269, 770, 4286, 3488, 325, 10807, 1341, 8020, 5913, 270, 272, 324, 277, 910, 476, 866, 692, 258, 734, 623, 7838, 303, 5308, 292, 281, 16294, 15870, 20014, 7643, 454, 3698, 1205, 318, 548, 2355, 10031, 825, 682, 2355, 815, 1496, 5379, 279, 25971, 876, 267, 476, 4281, 274, 277, 4366, 4905, 267, 476, 11820, 12010, 26764, 267, 476, 15876, 4962, 280, 10711, 267, 476, 21857, 271, 2764, 3199, 275, 267, 476, 25628, 6942, 13078, 2676, 1038, 476, 31798, 278, 2537, 18684, 267, 476, 4375, 274, 7176, 275, 23669, 267, 476, 28883, 26392, 25484, 267, 476, 3393, 278, 4962, 277, 27947, 267, 476, 27843, 4366, 280, 29637, 267, 476, 4649, 272, 16020, 30329, 2676, 1038, 476, 276, 4200, 7277, 23713, 267, 476, 279, 736, 10482, 279, 1724, 267, 476, 280, 1691, 3199, 274, 20969, 267, 476, 9083, 276, 1724, 31430, 276, 267, 476, 9340, 9032, 275, 25002, 277, 267, 476, 14138, 278, 2918, 25002, 278, 2639, 825, 2132, 682, 2355, 692, 258, 734, 623, 7838, 303, 5308, 292, 281, 4032, 1297, 540, 20014, 7643, 602, 723, 5293, 585, 2016, 15870, 2053, 454, 3698, 1293, 318, 548, 777, 26000, 6948, 31855, 4916, 318, 11742, 2187, 825, 682, 2355, 815, 1205, 318, 548, 2355, 4590, 825, 1948, 734, 1297, 540, 20014, 7643, 1991, 547, 15870, 318, 11742, 454, 825, 562, 318, 548, 2355, 815, 5286, 25910, 318, 3697, 31855, 4916, 318, 11742, 994, 825, 585, 1775, 267, 548, 777, 538, 26246, 263, 548, 2355, 2187, 1038, 1293, 815, 5286, 29644, 5332, 517, 14706, 31855, 4916, 318, 11742, 13843, 20014, 994, 1038, 952, 630, 12248, 3436, 476, 271, 2187, 2018, 1775, 318, 13440, 3581, 267, 328, 318, 4565, 4169, 815, 5286, 8542, 517, 14706, 31855, 4916, 318, 11742, 13843, 20014, 994, 2018, 562, 318, 548, 2355, 5157, 318, 13440, 3581, 267, 328, 318, 4565, 4169, 316, 6834, 476, 272, 269, 271, 454, 825, 2132, 562, 318, 548, 2355, 454, 0, 3698, 1292, 10031, 567, 1592, 284, 9131, 332, 10185, 12887, 339, 11698, 12887, 14954, 11888, 12887, 628, 11787, 12887, 325, 27518, 23300, 567, 561, 529, 272, 284, 9131, 338, 1495, 599, 12887, 338, 12944, 23300, 567, 1554, 284, 6358, 4590, 567, 952, 1554, 538, 1592, 912, 11434, 1820, 2891, 7224, 5602, 567, 3116, 912, 11434, 1820, 2891, 13433, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 7042, 5814, 27368, 454, 5228, 27368, 7456, 665, 1023, 1104, 27661, 5228, 19523, 1104, 14827, 692, 6853, 18524, 269, 8181, 4590, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 25953, 267, 476, 21878, 1070, 476, 271, 267, 476, 3953, 2020, 22018, 815, 27368, 28333, 269, 5141, 1442, 10797, 343, 815, 476, 271, 563, 344, 815, 476, 271, 563, 343, 5334, 32497, 815, 476, 1911, 563, 344, 5334, 32497, 815, 476, 1911, 780, 6112, 6936, 1384, 22610, 2680, 538, 27368, 4318, 1203, 10947, 10031, 453, 14851, 2680, 269, 6943, 2652, 19532, 3951, 912, 4848, 453, 1410, 527, 10797, 453, 6853, 18524, 6155, 3863, 269, 5550, 4433, 10547, 267, 630, 14838, 267, 476, 271, 267, 476, 271, 1070, 630, 343, 267, 586, 267, 476, 276, 267, 476, 276, 11723, 453, 5503, 7272, 21724, 815, 9219, 6745, 1157, 4590, 453, 5503, 7272, 21724, 26000, 6948, 815, 942, 7272, 21724, 1315, 476, 1911, 271, 269, 271, 454, 453, 343, 5091, 2700, 8548, 3437, 815, 942, 7272, 21724, 26000, 6948, 2608, 1535, 5334, 32497, 454, 453, 344, 5091, 2700, 8548, 3437, 815, 942, 7272, 21724, 26000, 6948, 2608, 586, 5334, 32497, 692, 453, 343, 6834, 1535, 5091, 2700, 8548, 3437, 454, 453, 344, 6834, 586, 5091, 2700, 8548, 3437, 692, 14851, 1535, 3436, 476, 25953, 269, 610, 1535, 2999, 476, 271, 269, 912, 453, 453, 258, 343, 20699, 476, 25953, 563, 453, 453, 343, 5334, 32497, 815, 910, 343, 5334, 32497, 454, 14851, 586, 3436, 476, 21878, 269, 610, 586, 2999, 476, 271, 269, 912, 453, 453, 258, 344, 20699, 476, 21878, 563, 453, 453, 344, 5334, 32497, 815, 910, 344, 5334, 32497, 692, 453, 6853, 18524, 269, 5891, 269, 26303, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 454, 5228, 10070, 1104, 3957, 14654, 921, 454, 5228, 10070, 1104, 632, 4302, 454, 5228, 10070, 1104, 9949, 18743, 454, 5228, 10070, 1104, 18103, 1229, 291, 1112, 454, 5228, 10070, 1104, 22388, 692, 258, 3957, 14654, 921, 454, 11592, 815, 3957, 14654, 921, 3488, 11592, 3299, 18358, 343, 3299, 1412, 344, 262, 7481, 335, 815, 8672, 263, 272, 267, 476, 273, 994, 2745, 9638, 11859, 994, 2745, 9638, 13885, 2020, 258, 632, 4302, 454, 336, 815, 632, 4302, 8443, 262, 320, 3299, 1412, 321, 3299, 1412, 322, 262, 7481, 336, 6910, 3488, 343, 5073, 336, 6910, 3847, 3488, 344, 5073, 2745, 32429, 994, 336, 21014, 4590, 2745, 32429, 994, 336, 4877, 963, 1111, 4590, 2745, 32429, 2020, 258, 9949, 9598, 454, 9536, 815, 9949, 18743, 10857, 10033, 281, 1412, 301, 12458, 5073, 9536, 9131, 4486, 272, 11172, 815, 1412, 11277, 7055, 2745, 5560, 323, 9131, 4486, 272, 262, 7481, 2745, 5560, 323, 9131, 4486, 273, 11172, 2020, 258, 18103, 1229, 9598, 476, 20069, 31365, 21211, 10429, 372, 454, 323, 815, 9598, 8443, 3488, 320, 3299, 1412, 272, 30670, 18011, 321, 3299, 1412, 273, 30670, 18011, 322, 3299, 1412, 274, 10807, 7481, 2745, 5560, 994, 323, 815, 18103, 1229, 291, 1112, 8443, 3488, 320, 3299, 1412, 272, 30670, 18011, 321, 3299, 1412, 273, 30670, 18011, 322, 3299, 1412, 274, 10807, 7481, 2745, 5560, 2020, 258, 22388, 454, 322, 815, 22388, 4590, 1721, 669, 538, 1412, 32491, 2719, 12466, 825, 524, 314, 577, 316, 6834, 476, 272, 454, 2745, 6262, 264, 0, 5814, 19523, 454, 5814, 2699, 529, 692, 3698, 1224, 318, 663, 318, 12133, 263, 1042, 529, 2187, 453, 339, 787, 912, 453, 453, 325, 815, 1930, 3488, 325, 24580, 5991, 1868, 17902, 3299, 1412, 337, 5073, 453, 453, 12248, 815, 476, 271, 454, 453, 22610, 1899, 538, 535, 912, 4848, 453, 1467, 815, 1899, 25331, 29328, 4590, 4848, 453, 1042, 529, 15630, 3488, 325, 24580, 5991, 1868, 281, 262, 1341, 1899, 267, 1293, 994, 4848, 453, 12248, 6834, 476, 272, 454, 453, 453, 325, 25379, 4590, 453, 21955, 12039, 13286, 912, 453, 453, 325, 815, 19523, 14714, 19734, 18667, 6050, 10797, 3698, 1883, 318, 14142, 10031, 16596, 1193, 9272, 2891, 15507, 585, 18011, 11767, 262, 585, 16718, 2567, 834, 11723, 3698, 476, 9612, 263, 1042, 529, 267, 1883, 2187, 453, 4486, 8217, 815, 678, 269, 12399, 3488, 325, 24580, 5991, 1868, 281, 262, 1341, 1883, 1341, 24003, 5073, 22610, 1535, 538, 1883, 8217, 912, 453, 13537, 3287, 19709, 13892, 3890, 314, 1724, 281, 20285, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 337, 815, 2699, 529, 10611, 539, 529, 263, 10676, 8782, 29985, 10676, 3299, 2823, 284, 277, 4391, 280, 267, 24563, 284, 271, 994, 453, 1348, 318, 663, 318, 12133, 16868, 994, 453, 6112, 6936, 912, 453, 453, 4486, 815, 1883, 318, 14142, 4590, 453, 14851, 7003, 31107, 264, 2652, 476, 271, 912, 4848, 453, 19874, 454, 453, 28432, 912, 4848, 453, 15507, 16868, 267, 1883, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 769, 314, 9948, 1384, 454, 3698, 1205, 28804, 26174, 263, 6493, 2187, 825, 8173, 825, 17776, 513, 24042, 263, 2381, 267, 3193, 264, 856, 540, 1592, 540, 5667, 9285, 9981, 780, 825, 1488, 7714, 912, 11434, 703, 338, 17338, 2567, 1592, 540, 9981, 5627, 835, 610, 811, 9981, 454, 825, 8173, 825, 952, 711, 703, 338, 912, 1038, 2132, 7183, 22562, 825, 1295, 20311, 815, 703, 338, 314, 271, 2639, 825, 3193, 20311, 815, 703, 338, 314, 271, 2639, 8931, 825, 585, 1775, 538, 703, 338, 912, 1038, 952, 1775, 2999, 1295, 20311, 912, 2018, 1295, 20311, 815, 1775, 454, 1038, 952, 1775, 3436, 3193, 20311, 912, 2018, 3193, 20311, 815, 1775, 22562, 825, 2132, 1295, 20311, 267, 3193, 20311, 692, 5814, 4351, 454, 258, 4530, 8865, 476, 272, 454, 331, 815, 1496, 328, 585, 1775, 538, 2039, 263, 271, 267, 476, 1015, 13580, 476, 1948, 513, 1592, 5627, 476, 271, 910, 476, 280, 454, 12690, 11075, 28984, 10857, 994, 2745, 9497, 27879, 257, 952, 16733, 271, 267, 476, 280, 264, 2652, 1205, 28804, 26174, 10857, 4297, 3116, 834, 293, 841, 8442, 1948, 1401, 4624, 3977, 268, 10426, 692, 258, 4530, 8865, 476, 273, 268, 15901, 730, 2338, 454, 331, 815, 1496, 1321, 267, 2537, 267, 3393, 267, 6858, 267, 2537, 267, 1321, 267, 7176, 267, 6321, 267, 6200, 267, 1220, 2639, 12690, 11075, 28984, 10857, 994, 2745, 9497, 27879, 257, 952, 16733, 1321, 267, 476, 1220, 264, 2652, 1205, 28804, 26174, 10857, 4297, 3116, 834, 293, 841, 8442, 1948, 1401, 4624, 3977, 268, 10426, 692, 258, 4530, 8865, 476, 274, 268, 2506, 27679, 1592, 454, 331, 815, 11713, 2745, 9497, 27879, 257, 952, 630, 14085, 2652, 1205, 28804, 26174, 10857, 4297, 3116, 834, 293, 841, 8442, 1948, 1401, 4624, 3977, 268, 10426, 692, 0, 12163, 5649, 3758, 883, 5931, 543, 7125, 563, 2005, 781, 21453, 952, 596, 1810, 1405, 1174, 875, 547, 1224, 6119, 563, 12163, 5814, 26417, 692, 5976, 1930, 3488, 3667, 338, 27406, 3299, 1412, 337, 10807, 607, 535, 912, 825, 5467, 815, 26417, 18667, 518, 6600, 994, 825, 5931, 815, 1592, 263, 1348, 518, 2020, 5976, 1930, 3488, 322, 8712, 27406, 3299, 1412, 337, 10807, 607, 535, 912, 825, 5467, 815, 26417, 18667, 518, 6600, 994, 825, 7125, 815, 1592, 263, 1348, 518, 2020, 12163, 307, 3008, 298, 476, 275, 912, 763, 15146, 2754, 1616, 547, 2697, 2338, 602, 1522, 581, 3257, 454, 974, 548, 7483, 6725, 269, 8073, 513, 1305, 540, 2009, 7658, 5658, 4394, 912, 28205, 616, 2338, 602, 1118, 856, 4707, 7125, 855, 2760, 6494, 5931, 2676, 516, 576, 633, 5931, 610, 4309, 19670, 7125, 780, 19530, 513, 5048, 912, 257, 4322, 2338, 1223, 581, 7658, 5658, 4394, 281, 27029, 283, 4289, 540, 2338, 11417, 763, 1592, 540, 2338, 1058, 581, 1820, 856, 835, 829, 1899, 538, 682, 13877, 4919, 1931, 609, 1100, 5918, 27289, 563, 20701, 2908, 8217, 17342, 2639, 2908, 8217, 6831, 8712, 815, 11713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 725, 538, 5682, 8490, 5303, 674, 6150, 538, 5071, 20245, 5851, 8490, 24184, 12367, 4139, 12706, 619, 8058, 5303, 676, 19364, 295, 289, 3767, 593, 5130, 22227, 454, 2791, 666, 3970, 513, 5321, 2825, 1764, 676, 1210, 3039, 2679, 1570, 1873, 327, 747, 2337, 547, 2569, 519, 5321, 3327, 11640, 563, 16675, 8490, 11621, 320, 1007, 2361, 1572, 3039, 2679, 568, 11543, 11610, 16675, 528, 4264, 2679, 568, 519, 2259, 540, 2870, 543, 1210, 8902, 454, 4322, 3039, 1753, 28889, 9934, 2093, 616, 865, 3579, 543, 4264, 20365, 2828, 630, 31347, 789, 516, 3039, 610, 711, 264, 786, 581, 3039, 609, 679, 11803, 563, 3725, 7094, 539, 5374, 568, 606, 5051, 2442, 854, 14463, 3039, 2679, 1570, 8450, 811, 1753, 4070, 5961, 563, 16675, 5321, 723, 2097, 513, 1279, 1259, 538, 519, 2063, 1906, 5756, 2252, 596, 516, 4058, 547, 1628, 513, 1007, 1753, 630, 528, 28889, 601, 264, 29264, 891, 3039, 1753, 2679, 2093, 563, 3519, 4740, 568, 513, 1570, 602, 3833, 12777, 6585, 938, 4872, 1927, 5804, 5321, 543, 19887, 5656, 547, 13123, 12858, 611, 10631, 338, 543, 2427, 19789, 802, 713, 24819, 12457, 1570, 521, 2956, 547, 2413, 454, 16675, 15733, 543, 8490, 10049, 16675, 3493, 582, 568, 519, 4182, 521, 3056, 18261, 540, 13476, 7874, 2679, 543, 6197, 1587, 1087, 26236, 543, 1753, 3435, 563, 16675, 8490, 12655, 22990, 1304, 11773, 20885, 12655, 610, 3039, 2679, 1374, 543, 4070, 568, 513, 1505, 540, 20617, 1210, 2200, 547, 1711, 1164, 2298, 8234, 1512, 543, 811, 1648, 3608, 5321, 543, 5010, 5656, 563, 294, 3918, 2894, 645, 308, 6579, 291, 5058, 10049, 543, 8249, 3487, 12655, 8490, 4675, 15533, 5663, 663, 2504, 540, 519, 2679, 2326, 2933, 288, 4130, 1753, 3217, 1447, 1570, 547, 454, 16675, 2679, 568, 827, 811, 982, 519, 2326, 596, 946, 933, 557, 3144, 1142, 3693, 543, 3177, 3039, 2679, 8925, 547, 2757, 2326, 563, 16675, 2679, 568, 519, 2259, 540, 2870, 3889, 543, 1210, 3157, 602, 616, 13476, 3743, 543, 4199, 3608, 2429, 513, 2679, 521, 1272, 454, 16675, 2679, 630, 10193, 1634, 607, 3039, 4070, 610, 18671, 23467, 544, 330, 306, 7637, 790, 320, 3039, 2679, 2966, 676, 14574, 3039, 2679, 2326, 689, 2199, 2959, 454, 30262, 990, 730, 1753, 543, 4677, 292, 961, 3999, 28386, 4253, 1538, 2240, 2679, 2326, 941, 2596, 538, 1374, 543, 3833, 14427, 3086, 2006, 3011, 20445, 616, 8383, 908, 513, 3395, 454, 763, 7025, 11554, 6828, 521, 13245, 12389, 5851, 6651, 2337, 26767, 3442, 2326, 602, 786, 2285, 6800, 513, 1760, 1815, 8707, 1863, 1753, 563, 16675, 5851, 8702, 547, 8134, 543, 2596, 2200, 2404, 609, 519, 10868, 540, 8093, 10173, 543, 2679, 2326, 763, 5916, 1198, 540, 713, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 698, 7236, 476, 1001, 273, 1700, 1001, 275, 269, 8074, 840, 3916, 514, 926, 269, 3502, 1019, 1488, 3832, 565, 1642, 10469, 16587, 476, 274, 281, 1240, 1700, 3066, 454, 303, 9369, 700, 630, 1001, 274, 264, 25608, 540, 4591, 18152, 2916, 6384, 538, 519, 26541, 558, 2572, 689, 513, 24435, 536, 690, 4295, 281, 519, 1101, 3818, 3491, 15383, 1353, 269, 16362, 531, 5098, 267, 6970, 685, 674, 8113, 926, 2160, 540, 24131, 454, 303, 9369, 700, 267, 18637, 686, 7942, 808, 267, 18844, 327, 32231, 590, 1696, 620, 630, 1001, 274, 264, 634, 1101, 6024, 17623, 3794, 18432, 6953, 565, 18152, 24435, 536, 690, 3818, 3491, 15383, 2594, 689, 519, 26541, 558, 2572, 630, 20911, 7969, 32595, 1040, 2372, 520, 2271, 476, 27420, 281, 10170, 1700, 8064, 454, 303, 2863, 654, 1696, 620, 630, 2735, 271, 268, 1220, 274, 264, 634, 19566, 3864, 14947, 18508, 630, 301, 7968, 293, 1070, 2019, 476, 273, 630, 2735, 271, 1070, 2019, 476, 274, 630, 2735, 272, 1070, 2019, 476, 275, 630, 2735, 275, 264, 2019, 476, 276, 630, 2735, 279, 1070, 2019, 476, 277, 630, 1960, 272, 1070, 2019, 476, 278, 630, 1960, 277, 1070, 2019, 476, 279, 630, 1220, 274, 1040, 29021, 267, 24545, 454, 305, 11759, 12243, 630, 1001, 276, 264, 681, 281, 513, 1893, 543, 1604, 585, 8579, 7384, 267, 4528, 476, 274, 269, 273, 269, 274, 269, 681, 7690, 585, 18926, 17270, 267, 21499, 267, 15212, 454, 3725, 4068, 631, 630, 1960, 273, 264, 2717, 6352, 1696, 24032, 546, 685, 292, 2202, 1696, 546, 685, 17682, 686, 4302, 5918, 20918, 269, 8534, 6737, 790, 632, 15636, 534, 1664, 16024, 1664, 1696, 6022, 2106, 860, 773, 267, 3057, 572, 4068, 454, 3725, 25534, 623, 267, 645, 731, 661, 267, 7345, 331, 1170, 589, 1696, 620, 630, 1001, 274, 264, 2271, 5632, 1724, 543, 13149, 1724, 28650, 2085, 23363, 14258, 476, 271, 1700, 2004, 267, 1822, 1296, 1608, 22680, 269, 30521, 22932, 476, 4649, 281, 272, 267, 279, 7597, 1700, 272, 267, 6434, 278, 454, 305, 839, 11420, 670, 267, 3619, 657, 572, 670, 267, 4053, 3832, 2401, 681, 630, 1220, 277, 264, 21676, 9482, 2916, 2203, 11191, 540, 2868, 18152, 9023, 2621, 281, 30173, 5955, 7586, 5809, 3859, 16550, 269, 29725, 12815, 476, 273, 281, 8064, 1700, 3445, 454, 305, 839, 11420, 670, 267, 1530, 653, 7564, 670, 267, 1261, 21105, 744, 267, 29157, 20336, 267, 3619, 657, 572, 670, 267, 674, 7865, 325, 564, 570, 630, 1220, 280, 264, 634, 8901, 543, 13796, 6988, 540, 519, 2868, 18152, 8143, 5021, 269, 14844, 2983, 657, 857, 476, 273, 281, 30329, 1700, 29300, 454, 305, 328, 31298, 267, 4144, 853, 1030, 8457, 590, 630, 1220, 276, 264, 700, 8636, 600, 636, 281, 19448, 544, 753, 1470, 562, 601, 7439, 32337, 630, 289, 2752, 4139, 10022, 476, 16409, 273, 264, 16329, 641, 816, 267, 10228, 454, 305, 657, 23383, 717, 313, 630, 2735, 273, 264, 2561, 2863, 328, 829, 3288, 588, 18319, 1642, 548, 1036, 1961, 1642, 27974, 648, 683, 328, 694, 3712, 328, 2473, 7656, 1700, 311, 4353, 269, 594, 560, 527, 19513, 11350, 684, 3150, 1019, 13284, 2075, 515, 1514, 328, 552, 2686, 328, 267, 13852, 684, 334, 454, 19913, 28704, 681, 267, 21919, 523, 1731, 595, 267, 681, 1054, 631, 630, 1220, 278, 264, 8125, 823, 748, 13479, 2861, 12119, 2837, 23221, 543, 13525, 14947, 9477, 1309, 269, 476, 275, 267, 1822, 1296, 540, 2916, 270, 1633, 946, 21341, 538, 519, 7013, 22341, 32595, 269, 808, 19232, 565, 574, 333, 565, 476, 4343, 281, 276, 6078, 1700, 4649, 275, 454, 19913, 928, 3187, 670, 267, 670, 7238, 2536, 667, 267, 594, 3944, 2401, 681, 267, 667, 2246, 717, 267, 631, 7564, 639, 321, 12329, 681, 630, 1001, 271, 264, 4856, 21975, 1063, 2916, 267, 812, 543, 11935, 2095, 2621, 12544, 5493, 2106, 1670, 1935, 269, 2983, 14521, 1108, 476, 6344, 281, 4366, 1700, 4649, 454, 306, 3273, 345, 667, 267, 2605, 529, 807, 590, 267, 645, 832, 6737, 589, 1696, 620, 630, 1001, 273, 264, 4591, 18152, 2916, 13260, 538, 5087, 3887, 6141, 7977, 281, 1761, 3310, 540, 519, 19364, 302, 543, 3859, 2534, 6592, 676, 884, 548, 582, 1335, 1239, 269, 29725, 12815, 476, 279, 281, 272, 267, 3607, 278, 1700, 272, 267, 4343, 274, 454, 5353, 12685, 12245, 589, 630, 2735, 271, 264, 2142, 527, 337, 7564, 613, 1990, 584, 17164, 725, 2471, 577, 747, 974, 23621, 1503, 338, 476, 275, 281, 14844, 10045, 17934, 879, 1765, 309, 650, 663, 19907, 31471, 269, 7137, 28571, 2173, 539, 7638, 769, 985, 321, 30638, 476, 6858, 281, 4029, 1700, 7761, 454, 4537, 582, 344, 330, 654, 630, 1960, 277, 264, 3212, 520, 536, 690, 21517, 540, 11626, 4496, 18254, 281, 2520, 12950, 6268, 540, 24435, 12632, 267, 2067, 7648, 538, 4496, 9830, 267, 543, 4496, 23918, 2188, 269, 30287, 4860, 476, 275, 281, 14983, 1700, 8146, 454, 4537, 582, 344, 330, 654, 267, 23415, 10458, 623, 630, 1960, 275, 264, 623, 648, 21226, 10832, 540, 24467, 26730, 3990, 8957, 15780, 26730, 3990, 24435, 536, 690, 12632, 630, 297, 3120, 15142, 267, 16848, 1040, 6314, 2983, 565, 476, 14138, 281, 15389, 1700, 16409, 454, 4537, 582, 344, 330, 654, 267, 1284, 1170, 667, 267, 11197, 2421, 623, 294, 1696, 620, 630, 1960, 279, 264, 3778, 540, 11626, 1291, 18254, 2094, 476, 1321, 267, 24907, 476, 1691, 290, 29757, 22680, 689, 513, 24435, 536, 690, 267, 808, 3120, 10239, 267, 16848, 269, 3163, 476, 27005, 281, 272, 267, 277, 3374, 1700, 272, 267, 25953, 454, 4537, 582, 344, 330, 654, 267, 1284, 1170, 667, 267, 918, 1090, 619, 808, 291, 1696, 620, 630, 1220, 272, 264, 2983, 17190, 540, 519, 24435, 536, 690, 693, 18264, 836, 632, 3288, 30421, 27056, 267, 808, 3120, 15142, 267, 16848, 267, 543, 922, 2594, 540, 11626, 623, 321, 543, 12776, 8328, 10250, 8407, 630, 9928, 267, 23621, 267, 962, 267, 2098, 337, 267, 543, 681, 7417, 264, 2094, 476, 1321, 267, 24907, 476, 1691, 290, 29757, 22680, 269, 2983, 5255, 574, 15328, 332, 5255, 574, 2920, 320, 476, 4792, 281, 273, 267, 29876, 1700, 273, 267, 11740, 454, 4537, 582, 344, 330, 654, 267, 6153, 338, 924, 19294, 267, 10162, 657, 5174, 541, 571, 743, 965, 674, 1696, 620, 630, 1220, 274, 264, 19848, 8328, 7418, 547, 11626, 29666, 267, 623, 321, 543, 1306, 13250, 6592, 676, 24435, 23780, 689, 7013, 23529, 543, 16862, 18584, 1210, 519, 476, 1691, 290, 968, 321, 4861, 13942, 7455, 6100, 2983, 5255, 574, 15328, 332, 5255, 574, 2920, 320, 476, 6858, 281, 274, 267, 4200, 272, 1700, 275, 267, 18733, 454, 4537, 582, 344, 330, 654, 267, 918, 11391, 614, 670, 267, 26689, 577, 2401, 631, 267, 2098, 3147, 821, 595, 630, 1001, 276, 264, 853, 762, 630, 18684, 303, 321, 267, 476, 21709, 303, 321, 267, 476, 21172, 303, 321, 264, 543, 14599, 630, 13975, 303, 321, 264, 1291, 24745, 538, 476, 272, 1032, 540, 2208, 540, 590, 874, 1725, 636, 21263, 689, 2185, 522, 3387, 8527, 13116, 536, 9233, 538, 7013, 5125, 281, 2520, 12950, 4644, 543, 2825, 6286, 269, 2983, 5255, 574, 15328, 332, 5255, 574, 2920, 320, 476, 14321, 281, 6200, 1700, 10219, 454, 4537, 582, 344, 330, 654, 267, 11197, 2421, 623, 294, 267, 645, 673, 14833, 645, 1696, 620, 630, 1001, 277, 264, 3212, 520, 536, 9233, 538, 7187, 22598, 267, 4516, 7866, 5756, 540, 19394, 11626, 623, 321, 12526, 269, 2983, 19398, 1763, 32731, 476, 6246, 281, 280, 267, 280, 5038, 1700, 280, 267, 9032, 275, 454, 4537, 582, 344, 330, 654, 267, 11197, 2421, 623, 294, 267, 645, 673, 14833, 7460, 1696, 620, 630, 1001, 278, 264, 3212, 520, 536, 9233, 3561, 5756, 540, 19394, 11626, 12526, 676, 10250, 8407, 538, 519, 19158, 629, 2444, 320, 9779, 6058, 748, 590, 1343, 3148, 269, 30287, 2233, 3353, 565, 476, 7906, 281, 277, 267, 26801, 1700, 277, 267, 27149, 454, 8245, 517, 928, 879, 589, 267, 28331, 1258, 661, 267, 12275, 9809, 517, 631, 1696, 620, 630, 1001, 275, 264, 31524, 4591, 18152, 30961, 543, 1164, 268, 5306, 3363, 620, 18090, 5054, 15088, 689, 1295, 518, 8328, 543, 5214, 12508, 538, 1322, 331, 18432, 10720, 21439, 630, 299, 820, 2349, 4545, 670, 22222, 267, 5375, 3943, 32595, 1040, 2372, 520, 2233, 4860, 476, 8660, 281, 2767, 1700, 6246, 454, 22069, 558, 2088, 10396, 267, 17659, 2917, 19954, 267, 32095, 326, 5459, 21096, 1696, 620, 630, 1001, 276, 264, 4591, 18152, 27224, 15088, 269, 2372, 520, 2233, 4860, 476, 9340, 281, 280, 1700, 4097, 454, 306, 12888, 327, 559, 828, 674, 267, 2142, 518, 808, 267, 2605, 7238, 25632, 747, 595, 630, 1220, 280, 264, 11192, 3859, 23735, 4800, 1282, 519, 2868, 18152, 269, 2983, 19398, 1763, 32731, 476, 3607, 281, 299, 3192, 6860, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9083, 280, 270, 1220, 280, 21923, 31239, 16318, 454, 1805, 1442, 332, 1551, 808, 630, 3192, 272, 264, 7305, 1206, 609, 24032, 1031, 538, 6207, 14947, 2079, 269, 2717, 6352, 1975, 2803, 476, 1724, 281, 277, 1428, 1700, 277, 2641, 454, 1805, 3518, 7238, 1188, 631, 630, 1220, 271, 264, 7849, 1646, 543, 27643, 5222, 593, 519, 10664, 540, 519, 17131, 572, 328, 1068, 531, 267, 3162, 14977, 1503, 267, 1282, 519, 3735, 25322, 18432, 543, 2868, 18152, 269, 2920, 320, 1133, 643, 10491, 324, 476, 3374, 281, 4200, 1700, 8099, 454, 307, 27903, 654, 267, 634, 584, 650, 520, 808, 6261, 630, 1220, 274, 264, 772, 653, 25958, 3970, 267, 6708, 267, 543, 15088, 540, 519, 16025, 1467, 543, 1726, 5202, 3235, 665, 1467, 538, 519, 18230, 6239, 32595, 1282, 519, 2250, 476, 1556, 267, 4335, 1296, 269, 1488, 551, 13432, 551, 1325, 335, 1763, 476, 3374, 281, 15647, 1700, 15433, 454, 309, 534, 2983, 601, 645, 267, 11370, 584, 2006, 808, 267, 5696, 1074, 651, 332, 704, 744, 267, 2480, 3559, 6665, 808, 267, 589, 696, 10174, 589, 267, 8709, 1234, 523, 523, 717, 267, 670, 752, 321, 6359, 331, 570, 630, 1220, 274, 264, 7025, 16646, 540, 513, 4936, 11270, 11175, 3135, 538, 772, 527, 613, 652, 630, 763, 13814, 1070, 609, 2027, 4704, 547, 2941, 5268, 559, 748, 13271, 269, 808, 16329, 565, 2233, 476, 1789, 281, 9262, 274, 1700, 6434, 274, 454, 309, 534, 670, 4141, 557, 16066, 267, 26673, 20891, 572, 631, 630, 1960, 279, 264, 589, 1353, 540, 1875, 1790, 18543, 3615, 538, 14947, 15942, 269, 634, 2010, 607, 4330, 676, 3220, 269, 5178, 8709, 2983, 601, 543, 9164, 269, 2160, 540, 7780, 516, 19816, 267, 7780, 516, 19816, 454, 309, 1120, 8643, 681, 630, 1220, 274, 264, 22387, 699, 552, 4468, 14504, 562, 7578, 1395, 339, 1725, 320, 1642, 1780, 6737, 281, 1325, 7032, 9006, 23176, 267, 694, 3712, 328, 2473, 7656, 29930, 21197, 269, 595, 18824, 454, 309, 525, 322, 990, 328, 661, 267, 24497, 9579, 328, 595, 267, 1488, 335, 11230, 661, 1696, 620, 630, 1220, 278, 264, 29568, 1063, 2916, 543, 10664, 1282, 519, 700, 1538, 331, 18432, 1974, 607, 6592, 676, 10720, 543, 544, 790, 11159, 21517, 538, 8832, 7977, 543, 8828, 16848, 269, 2372, 520, 2233, 4860, 476, 2918, 281, 272, 267, 20981, 1700, 272, 267, 5780, 280, 454, 309, 773, 327, 933, 3187, 645, 267, 700, 583, 345, 808, 267, 744, 1122, 6921, 918, 630, 1001, 276, 264, 17623, 6953, 565, 18152, 2244, 946, 2242, 3361, 676, 14226, 538, 519, 5599, 3148, 540, 918, 6308, 321, 6686, 3559, 630, 307, 344, 1503, 267, 15212, 1040, 17164, 2876, 16329, 984, 582, 476, 2190, 281, 278, 1556, 1700, 278, 3066, 454, 309, 514, 747, 4157, 631, 267, 2977, 753, 517, 918, 297, 267, 681, 11770, 514, 670, 267, 14472, 26408, 918, 630, 1001, 271, 264, 634, 3892, 540, 476, 15389, 12336, 267, 918, 267, 681, 321, 543, 595, 338, 538, 2371, 538, 513, 590, 874, 1725, 636, 26730, 3990, 24435, 1633, 538, 9456, 3844, 13785, 269, 808, 30287, 15571, 716, 476, 6200, 281, 10204, 1700, 12293, 454, 14106, 550, 514, 667, 267, 2961, 17243, 674, 267, 674, 2632, 3570, 674, 267, 28533, 1638, 328, 674, 267, 595, 525, 1723, 623, 267, 631, 1180, 7236, 595, 267, 31883, 26152, 589, 630, 1001, 276, 264, 2776, 18856, 8916, 540, 519, 12373, 558, 2572, 281, 5619, 1239, 689, 519, 1164, 1633, 8513, 540, 27974, 648, 630, 289, 749, 684, 334, 26541, 558, 2572, 267, 8832, 7977, 1040, 2372, 520 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1459, 547, 9777, 622, 585, 610, 1996, 1022, 1505, 540, 6469, 3653, 9668, 563, 2414, 2307, 519, 14199, 540, 3557, 585, 519, 5113, 952, 646, 814, 4371, 12909, 609, 1022, 824, 14540, 610, 8128, 538, 6935, 547, 7616, 267, 2047, 610, 18549, 267, 519, 5137, 540, 513, 2707, 9668, 5989, 282, 543, 952, 646, 786, 1118, 513, 3948, 563, 314, 3835, 532, 2626, 476, 2190, 2904, 476, 1960, 271, 13912, 3687, 8651, 538, 519, 4972, 540, 11780, 543, 12752, 543, 519, 4972, 540, 519, 5113, 723, 4607, 5796, 543, 1344, 827, 6469, 3653, 4015, 543, 18570, 2409, 689, 513, 2647, 2039, 540, 2959, 1519, 519, 28007, 1895, 593, 9657, 267, 5461, 2199, 8128, 267, 17319, 2516, 543, 4123, 12205, 267, 543, 723, 1185, 5717, 689, 942, 547, 942, 827, 513, 1297, 540, 6927, 11341, 547, 9657, 543, 3653, 2359, 267, 1519, 519, 2009, 1797, 540, 7616, 543, 5883, 1114, 3653, 9668, 1949, 269, 0, 289, 528, 1314, 568, 835, 540, 519, 1455, 5820, 1898, 538, 1818, 1793, 830, 269, 16907, 1314, 1500, 1793, 830, 568, 849, 1634, 607, 717, 1663, 788, 267, 717, 752, 267, 4469, 889, 828, 610, 3794, 3420, 269, 634, 824, 2472, 2838, 585, 1818, 1793, 830, 616, 15441, 543, 1216, 563, 289, 528, 1314, 568, 2808, 6757, 543, 568, 711, 6700, 585, 2370, 1453, 607, 621, 666, 8886, 622, 741, 4064, 543, 2960, 269, 23883, 267, 950, 596, 616, 11544, 519, 18664, 1314, 8869, 267, 621, 666, 1205, 538, 519, 2011, 543, 12758, 538, 707, 28296, 269, 2142, 3222, 607, 519, 3214, 666, 2322, 18664, 1314, 13572, 3946, 538, 741, 5023, 269, 1403, 3214, 3824, 652, 621, 538, 9793, 7274, 267, 621, 666, 1291, 547, 15353, 543, 16063, 13347, 563, 3719, 267, 513, 1129, 540, 8323, 2501, 938, 1259, 607, 519, 2179, 540, 16907, 1314, 2877, 585, 19471, 1793, 830, 568, 711, 1164, 269, 898, 779, 2356, 513, 29537, 602, 949, 711, 581, 811, 982, 476, 1691, 10101, 269, 898, 568, 29809, 538, 1216, 543, 6404, 609, 824, 5820, 563, 4131, 779, 6423, 1215, 1284, 2052, 5269, 6215, 830, 2060, 16907, 1314, 454, 763, 23123, 2334, 18771, 2142, 717, 9312, 454, 268, 16907, 1314, 8869, 454, 268, 13068, 15441, 630, 14976, 1067, 779, 568, 30074, 994, 268, 24953, 1216, 630, 621, 12582, 1406, 581, 14495, 994, 268, 30558, 630, 23295, 4837, 12826, 994, 268, 21311, 10822, 454, 268, 5253, 2681, 454, 268, 17186, 532, 1975, 3019, 454, 20228, 830, 1234, 10360, 2060, 16907, 1314, 454, 268, 769, 519, 4098, 267, 596, 723, 547, 25837, 5111, 476, 275, 13728, 540, 15441, 630, 2181, 2536, 2406, 3043, 15441, 264, 883, 519, 12826, 563, 268, 5410, 476, 272, 543, 476, 16006, 11480, 540, 3636, 1216, 269, 634, 5223, 568, 476, 275, 13728, 540, 13594, 281, 476, 275, 13728, 540, 3636, 1216, 563, 268, 3767, 2322, 1906, 12772, 540, 1426, 7801, 269, 1684, 621, 952, 596, 1616, 547, 2285, 707, 1793, 830, 513, 4190, 27280, 269, 25968, 267, 4544, 267, 3039, 267, 3092, 269, 616, 519, 3044, 4778, 563, 268, 3767, 267, 1491, 835, 23188, 540, 16907, 1314, 543, 2322, 621, 883, 476, 16006, 7484, 540, 10750, 1216, 269, 17186, 621, 1134, 563, 268, 32449, 519, 3070, 7444, 883, 519, 15441, 543, 1216, 7848, 563, 268, 853, 597, 519, 3003, 7848, 2394, 519, 1793, 830, 2501, 1927, 607, 513, 2582, 26686, 563, 268, 1411, 949, 610, 949, 711, 991, 519, 2898, 18664, 1314, 3070, 269, 634, 2179, 5673, 593, 875, 1454, 1793, 830, 596, 1616, 543, 875, 1454, 540, 824, 5820, 596, 723, 3144, 563, 268, 918, 928, 611, 707, 1793, 830, 24215, 1134, 269, 769, 519, 4098, 267, 621, 786, 581, 979, 4141, 344, 543, 6632, 282, 1287, 519, 9403, 786, 1831, 1793, 641, 6853, 543, 16463, 6438, 610, 5569, 344, 269, 7053, 267, 519, 1793, 830, 7848, 786, 3180, 1927, 563, 268, 29553, 519, 1793, 830, 269, 6744, 952, 519, 598, 1723, 794, 568, 15198, 1510, 751, 2130, 6306, 269, 1403, 621, 4991, 27929, 267, 1287, 9054, 611, 621, 1586, 269, 2659, 1793, 830, 666, 581, 15504, 6306, 543, 1491, 1022, 3337, 596, 1118, 563, 1805, 648, 2659, 6215, 830, 454, 268, 589, 1990, 328, 680, 1442, 9126, 568, 519, 3501, 4859, 8708, 540, 707, 1793, 830, 269, 898, 786, 581, 4195, 585, 513, 7008, 540, 4374, 282, 3973, 621, 949, 1376, 1159, 2454, 28067, 269, 1411, 723, 547, 12235, 2476, 707, 9409, 1159, 11481, 1793, 830, 543, 1118, 513, 1007, 835, 563, 268, 2659, 1793, 830, 786, 3819, 952, 596, 1832, 621, 1930, 269, 1924, 606, 2011, 31259, 1990, 5792, 9126, 568, 2556, 563, 268, 4676, 3419, 4733, 519, 1793, 830, 547, 1118, 621, 2063, 811, 982, 1079, 4374, 269, 589, 1793, 830, 609, 16907, 1314, 949, 711, 1205, 24401, 6150, 3533, 563, 19522, 1280, 1411, 454, 22142, 5905, 707, 1793, 830, 609, 522, 1176, 267, 3636, 610, 17570, 344, 27374, 563, 10673, 1406, 4734, 707, 1793, 830, 538, 519, 13566, 610, 2220, 601, 18146, 1604, 269, 898, 949, 15835, 267, 16756, 610, 18493, 622, 269, 634, 2681, 666, 1689, 1932, 563, 17445, 7943, 568, 711, 5078, 585, 1793, 830, 563, 2252, 707, 1793, 830, 2501, 538, 3346, 609, 707, 11647, 267, 12308, 267, 4715, 8163, 267, 5958, 267, 3092, 1421, 621, 779, 2182, 547, 11547, 873, 543, 1205, 7759, 540, 1169, 1179, 330, 540, 1793, 830, 269, 1924, 267, 581, 6297, 563, 2252, 596, 2661, 538, 513, 3636, 4365, 13856, 3148, 267, 707, 1793, 830, 949, 15835, 547, 930, 6708, 269, 6684, 267, 952, 596, 21078, 538, 606, 1858, 2348, 4411, 4365, 267, 707, 1793, 830, 949, 1831, 13888, 563, 2252, 596, 5905, 707, 1793, 830, 609, 18660, 3946, 267, 519, 13897, 786, 6529, 547, 519, 1793, 830, 269, 1284, 2303, 596, 2973, 543, 3819, 707, 3946, 1354, 4730, 609, 1793, 830, 269, 0, 19328, 568, 4092, 476, 275, 267, 277, 7176, 269, 3374, 11465, 630, 278, 267, 6321, 272, 269, 2767, 5998, 264, 5045, 540, 519, 3345, 24504, 563, 1103, 799, 15393, 568, 3127, 4092, 888, 19328, 568, 13883, 5087, 540, 519, 20337, 1063, 476, 279, 4113, 275, 12664, 5087, 547, 476, 4391, 4113, 277, 12664, 5087, 20173, 543, 476, 6924, 4113, 278, 12664, 7532, 547, 476, 9032, 4113, 1839, 12664, 7532, 29978, 563, 8489, 568, 519, 15393, 4092, 888, 763, 13664, 3345, 24504, 568, 519, 7187, 1448, 540, 519, 3047, 779, 7852, 540, 10047, 269, 634, 3345, 24504, 568, 1336, 538, 519, 11848, 7909, 267, 593, 7683, 13346, 4773, 540, 4262, 4672, 269, 634, 3345, 24504, 568, 711, 851, 540, 1022, 4182, 267, 4352, 6576, 5116, 513, 24489, 9206, 593, 519, 26026, 539, 538, 476, 1220, 278, 563, 8489, 568, 3127, 538, 3345, 24504, 610, 3162, 24504, 888, 763, 12059, 24504, 21269, 2066, 15787, 267, 16273, 267, 13225, 27175, 267, 3624, 267, 3127, 267, 27060, 267, 18310, 543, 9031, 269, 898, 779, 519, 2707, 540, 936, 476, 12010, 271, 22260, 267, 3568, 519, 1158, 779, 5207, 10239, 543, 4557, 2101, 8933, 799, 1683, 6704, 1216, 267, 1648, 543, 12555, 585, 936, 476, 736, 260, 540, 519, 1158, 779, 2551, 563, 8489, 616, 519, 476, 273, 18635, 4092, 888, 763, 3345, 24504, 6013, 538, 519, 11848, 7909, 1247, 519, 3162, 24504, 568, 538, 19778, 563, 1432, 568, 3127, 779, 2407, 2012, 888, 293, 5436, 8745, 281, 6243, 540, 3127, 630, 763, 4013, 267, 16130, 2012, 585, 3127, 568, 32038, 520, 267, 519, 2012, 540, 519, 19416, 4622, 538, 519, 10067, 629, 9618, 1092, 1040, 10374, 4813, 281, 3127, 563, 8005, 3893, 547, 3345, 24504, 1101, 888, 763, 1101, 3768, 529, 1584, 539, 16939, 547, 3914, 519, 3345, 24504, 729, 602, 540, 519, 2011, 338, 1222, 715, 5282, 267, 799, 936, 325, 548, 342, 519, 1858, 538, 476, 4572, 277, 609, 476, 1626, 2367, 593, 4604, 267, 1519, 16939, 6205, 10162, 12245, 2549, 1495, 11420, 563, 1692, 1082, 15393, 616, 972, 538, 519, 1158, 888, 272, 269, 274, 3436, 634, 7187, 543, 7013, 8280, 7371, 12742, 540, 519, 3047, 1142, 723, 1614, 18635, 1107, 835, 13664, 267, 835, 6419, 267, 543, 835, 2520, 558, 8568, 563, 763, 3047, 779, 29595, 18635, 563, 18871, 809, 773, 700, 31348, 2763, 527, 1475, 272, 808, 1695, 337, 2008, 8489, 568, 519, 3345, 24504, 2221, 888, 17780, 593, 519, 1699, 654, 12613, 2203, 267, 519, 476, 1708, 271, 4087, 540, 519, 5087, 6419, 15393, 568, 476, 10436, 269, 2004, 4113, 301, 543, 476, 13932, 269, 6860, 4113, 292, 543, 519, 5045, 6419, 15393, 568, 476, 5038, 269, 5881, 4113, 306, 543, 476, 13670, 269, 6434, 4113, 292, 563, 7617, 15393, 568, 21617, 888, 763, 10374, 8382, 281, 5637, 519, 11848, 630, 22139, 24504, 264, 543, 519, 21303, 630, 21026, 24504, 264, 616, 4411, 1317, 789, 1810, 1406, 1205, 1022, 1463, 7943, 269, 1717, 267, 519, 3162, 24504, 568, 513, 2603, 21617, 982, 519, 3345, 24504, 563, 8005, 22595, 3162, 24504, 888, 763, 3162, 24504, 568, 10645, 676, 5722, 6082, 281, 18335, 267, 5245, 267, 16266, 267, 5333, 267, 1715, 10215, 267, 543, 519, 2136, 8003, 269, 634, 17895, 693, 519, 1318, 568, 513, 18187, 320, 540, 519, 17895, 1031, 676, 10162, 12245, 2549, 1495, 11420, 267, 519, 1101, 1268, 547, 3914, 519, 3162, 24504, 563, 4692, 596, 3643, 519, 3162, 24504, 888, 2414, 3914, 519, 3162, 24504, 267, 17631, 786, 991, 547, 1433, 513, 1507, 7077, 602, 666, 2244, 593, 519, 4672, 2282, 519, 15393, 267, 1141, 789, 786, 581, 4847, 547, 2263, 519, 1382, 3490, 972, 267, 4365, 28498, 269, 1452, 15143, 666, 1376, 607, 1164, 607, 20430, 1269, 2004, 267, 1822, 543, 909, 269, 2560, 8307, 513, 19625, 540, 4663, 12427, 2709, 19426, 547, 519, 3162, 24504, 563, 2710, 1004, 2661, 538, 3162, 24504, 888, 5591, 14633, 2729, 538, 19778, 22543, 17802, 538, 519, 1259, 602, 789, 798, 538, 519, 1964, 540, 519, 1158, 269, 898, 814, 1100, 5010, 6080, 267, 1100, 10034, 610, 4872, 267, 1100, 8628, 7264, 269, 634, 1152, 968, 3553, 1479, 906, 892, 609, 3476, 2165, 7264, 630, 15367, 3251, 585, 930, 3275, 610, 513, 1032, 267, 6148, 1079, 264, 616, 3621, 13279, 563, 9989, 7429, 18635, 4482, 888, 12024, 18635, 540, 513, 11275, 1065, 601, 1142, 824, 269, 901, 568, 1317, 950, 519, 1079, 22197, 540, 899, 18635, 616, 6854, 6849, 1142, 824, 519, 3515, 540, 4229, 616, 538, 6587, 8846, 269, 2560, 1879, 519, 7429, 18635, 540, 513, 3046, 11275, 3068, 1142, 824, 519, 6419, 3515, 540, 3196, 616, 538, 519, 1482, 4287, 543, 8754, 7429, 18635, 4482, 1142, 824, 563, 1432, 568, 513, 15393, 2626, 888, 288, 15393, 568, 513, 1279, 6094, 4062, 540, 3574, 610, 4496, 267, 1031, 2523, 585, 5885, 1919, 269, 2560, 1261, 6603, 909, 609, 513, 554, 10541, 15393, 547, 5066, 1524, 519, 4496, 9505, 614, 269, 476, 273, 269, 1293, 762, 10902, 269, 634, 3618, 779, 18635, 616, 519, 1079, 6587, 7475, 540, 922, 7852, 267, 922, 1034, 7187, 543, 7013, 2798, 563, 1432, 568, 20337, 543, 15393, 540, 3618, 888, 763, 1079, 4025, 1141, 519, 10047, 7852, 12969, 338, 519, 2627, 540, 519, 12106, 616, 519, 18635, 630, 1492, 3345, 24504, 543, 519, 3162, 24504, 1040, 634, 20337, 568, 3989, 607, 519, 10167, 540, 519, 2627, 540, 519, 12106, 609, 513, 7077, 630, 1492, 20337, 658, 7077, 264, 602, 10596, 998, 519, 4099, 540, 519, 12106, 543, 568, 26667, 547, 922, 10047, 7852, 269, 0, 4942, 1301, 11914, 4837, 281, 594, 16165, 454, 13911, 4083, 3766, 20199, 585, 519, 14453, 2872, 454, 291, 25184, 667, 1221, 518, 747, 265, 543, 3057, 2088, 623, 7795, 17243, 1262, 1865, 519, 22820, 538, 3747, 585, 14453, 4837, 607, 513, 1267, 540, 13044, 543, 875, 713, 814, 3366, 547, 513, 991, 585, 1942, 15807, 14614, 2000, 830, 4837, 609, 1164, 29230, 3749, 4187, 563, 10908, 817, 607, 513, 11183, 1570, 568, 519, 1101, 3903, 1813, 547, 922, 2027, 3601, 269, 898, 568, 3114, 16931, 267, 666, 581, 5687, 958, 5701, 1510, 1022, 2042, 543, 14014, 519, 5420, 6740, 3330, 689, 12526, 563, 1103, 2489, 267, 4837, 11149, 616, 5258, 883, 1826, 594, 267, 1826, 4083, 267, 543, 1826, 8633, 1813, 547, 12659, 8932, 5305, 543, 267, 3976, 267, 29230, 6776, 4187, 269, 4595, 11955, 543, 10074, 616, 2356, 6740, 538, 1826, 594, 267, 519, 3486, 5046, 866, 1790, 663, 2438, 814, 3366, 547, 513, 8101, 3747, 585, 1826, 594, 4837, 642, 10118, 269, 901, 814, 849, 2799, 519, 991, 585, 4244, 543, 811, 1942, 15807, 14614, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5157, 268, 272, 3910, 25754, 318, 2958, 994, 1038, 2530, 318, 7290, 5157, 316, 815, 12337, 5334, 13645, 9078, 1601, 11583, 267, 586, 267, 23940, 318, 7290, 5157, 8079, 314, 271, 267, 271, 2639, 825, 2132, 23940, 318, 7290, 267, 2530, 318, 7290, 19638, 692, 3698, 2834, 1242, 14682, 2784, 5091, 27853, 4671, 25534, 10031, 825, 8173, 825, 1488, 7714, 912, 1038, 2473, 910, 519, 4183, 6152, 267, 476, 273, 291, 11885, 5044, 540, 2450, 630, 11133, 318, 13318, 1734, 267, 1003, 6958, 324, 2137, 994, 1038, 586, 910, 519, 6003, 6152, 267, 476, 272, 291, 11885, 5044, 540, 2450, 630, 11133, 318, 13318, 1734, 994, 1038, 13672, 910, 1900, 2450, 538, 13506, 16350, 454, 1038, 25754, 318, 2958, 910, 519, 2834, 1436, 11664, 454, 1038, 1003, 296, 614, 910, 1297, 540, 23200, 547, 2196, 692, 825, 16849, 912, 1038, 23940, 318, 7290, 910, 519, 1686, 540, 9936, 6152, 267, 476, 273, 291, 11885, 5044, 540, 2450, 630, 11133, 318, 3438, 266, 272, 267, 1003, 6958, 324, 2137, 994, 1038, 2530, 318, 7290, 910, 519, 1686, 540, 2834, 1242, 2530, 1871, 267, 476, 272, 291, 11885, 5044, 454, 825, 8173, 825, 1948, 299, 1933, 532, 519, 10471, 454, 825, 1820, 3488, 2903, 532, 519, 10471, 17210, 825, 17093, 815, 19073, 18667, 32269, 3488, 327, 342, 272, 1673, 1092, 27406, 3299, 1642, 574, 3438, 284, 3299, 5073, 825, 2473, 815, 17093, 269, 11161, 18020, 18737, 272, 2639, 825, 586, 815, 17093, 269, 11161, 11468, 16427, 272, 6540, 825, 1820, 3488, 306, 5902, 883, 21541, 543, 4530, 5073, 825, 2473, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 1449, 15481, 815, 1911, 267, 4351, 26077, 284, 1015, 2020, 825, 1820, 2891, 9928, 2718, 782, 547, 1496, 271, 267, 476, 272, 316, 5602, 825, 2473, 17601, 267, 2473, 15305, 815, 4183, 5332, 5436, 1436, 11583, 17601, 267, 2473, 15305, 994, 825, 2473, 17601, 815, 5286, 19544, 23637, 9230, 311, 17601, 267, 5286, 269, 2158, 9230, 311, 17601, 17482, 314, 271, 3910, 476, 272, 4297, 4297, 1948, 11754, 9186, 2165, 454, 825, 2473, 15305, 815, 5286, 19544, 23637, 9230, 311, 15305, 267, 5286, 269, 2158, 9230, 311, 15305, 17482, 314, 271, 3910, 476, 272, 4297, 4297, 1948, 11754, 9186, 2165, 7531, 825, 13672, 284, 271, 269, 4962, 454, 825, 25754, 318, 2958, 284, 271, 269, 4905, 454, 825, 1003, 318, 3438, 284, 1911, 271, 454, 825, 1003, 318, 13318, 1734, 267, 1003, 6958, 324, 2137, 815, 2473, 17601, 17482, 314, 271, 3910, 2473, 17601, 17482, 314, 272, 2639, 825, 23940, 318, 7290, 815, 5286, 25910, 9230, 11133, 318, 3438, 266, 272, 267, 1003, 6958, 324, 2137, 4297, 567, 1948, 22873, 658, 1125, 23940, 318, 7290, 454, 825, 2530, 318, 7290, 815, 5286, 25910, 16325, 318, 3438, 266, 272, 264, 7386, 1948, 30976, 1125, 2530, 318, 7290, 454, 825, 23940, 815, 5286, 269, 2158, 16325, 6958, 324, 2137, 264, 4449, 11434, 1948, 30976, 1125, 23940, 454, 825, 23940, 318, 7290, 314, 271, 316, 815, 23940, 454, 825, 2530, 318, 7290, 314, 271, 316, 815, 12337, 318, 10585, 1242, 5334, 13645, 9078, 1601, 11583, 17601, 267, 586, 17601, 267, 23940, 267, 14433, 318, 2958, 2020, 825, 1376, 22710, 815, 942, 28333, 4590, 825, 585, 1775, 538, 2039, 263, 272, 267, 11133, 318, 3438, 266, 272, 264, 10778, 1038, 23940, 318, 7290, 5157, 24557, 9064, 318, 7290, 5157, 268, 272, 316, 268, 10401, 265, 4818, 1393, 318, 10585, 1242, 5334, 13645, 9078, 1601, 14682, 2784, 1304, 11583, 17601, 11971, 17601, 267, 9064, 318, 7290, 5157, 268, 272, 3910, 14433, 318, 2958, 994, 1038, 1948, 2530, 318, 7290, 5157, 316, 815, 12337, 318, 10585, 1242, 5334, 13645, 9078, 1601, 11583, 17601, 267, 586, 17601, 267, 23940, 318, 7290, 5157, 7481, 1038, 1948, 952, 5286, 269, 11274, 10857, 1601, 318, 7290, 5157, 316, 268, 29754, 318, 7290, 5157, 268, 272, 8079, 283, 271, 269, 1822, 272, 912, 1038, 1948, 672, 2736, 454, 825, 1714, 17863, 22710, 815, 942, 28333, 3890, 910, 1376, 22710, 454, 825, 1820, 834, 5503, 829, 21767, 568, 2433, 14307, 1714, 17863, 22710, 270, 1911, 271, 269, 271, 692, 7531, 19399, 5992, 7462, 454, 1012, 304, 273, 269, 276, 322, 281, 10439, 1436, 540, 8617, 1242, 645, 2255, 27240, 1304, 2677, 1417, 454, 1012, 311, 14289, 281, 2845, 10857, 10033, 318, 2958, 994, 1012, 312, 14289, 281, 4009, 9078, 1601, 454, 3698, 14650, 318, 2958, 9078, 1601, 3890, 1384, 825, 1948, 299, 1933, 532, 519, 10471, 454, 825, 1820, 3488, 2903, 532, 519, 10471, 17210, 825, 17093, 815, 19073, 18667, 32269, 3488, 327, 342, 272, 1673, 1092, 27406, 3299, 1642, 574, 3438, 284, 3299, 5073, 825, 2473, 815, 17093, 269, 11161, 18020, 18737, 272, 2639, 825, 586, 815, 17093, 269, 11161, 11468, 16427, 272, 6540, 825, 1820, 3488, 306, 5902, 883, 21541, 543, 4530, 5073, 825, 2473, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 1449, 15481, 815, 1911, 267, 4351, 26077, 284, 1015, 2020, 825, 1820, 2891, 9928, 2718, 782, 547, 1496, 271, 267, 476, 272, 316, 5602, 825, 2473, 17601, 267, 2473, 15305, 815, 4183, 5332, 5436, 1436, 11583, 17601, 267, 2473, 15305, 994, 825, 2473, 17601, 815, 5286, 19544, 23637, 9230, 311, 17601, 267, 5286, 269, 2158, 9230, 311, 17601, 17482, 314, 271, 3910, 476, 272, 4297, 4297, 1948, 11754, 9186, 2165, 454, 825, 2473, 15305, 815, 5286, 19544, 23637, 9230, 311, 15305, 267, 5286, 269, 2158, 9230, 311, 15305, 17482, 314, 271, 3910, 476, 272, 4297, 4297, 1948, 11754, 9186, 2165, 692, 825, 5487, 815, 1496, 1015, 1262, 330, 585, 737, 538, 2039, 8987, 1015, 267, 476, 271, 264, 6540, 825, 1948, 5487, 815, 1496, 330, 265, 1015, 1262, 8987, 274, 264, 585, 737, 538, 2039, 263, 272, 267, 736, 264, 6540, 454, 825, 5721, 9078, 1601, 815, 11713, 825, 23940, 8217, 815, 11713, 825, 15418, 9078, 1601, 815, 11713, 825, 585, 22917, 538, 5487, 912, 1038, 23940, 318, 7290, 267, 29754, 318, 7290, 815, 2834, 1242, 14682, 2784, 5091, 27853, 11583, 17601, 11971, 17601, 267, 10401, 284, 271, 269, 4962, 267, 25754, 318, 2958, 284, 4594, 994, 1038, 5721, 9078, 1601, 6910, 263, 4818, 1393, 5334, 13645, 9078, 1601, 11583, 17601, 267, 586, 17601, 267, 23940, 318, 7290, 15631, 272, 8079, 314, 271, 267, 476, 271, 7481, 1038, 23940, 8217, 6910, 263, 9064, 318, 7290, 15631, 272, 7481, 1038, 15418, 9078, 1601, 6910, 263, 4818, 1393, 5334, 13645, 9078, 1601, 11583, 15305, 267, 586, 15305, 267, 23940, 318, 7290, 15631, 272, 8079, 314, 271, 267, 476, 271, 7481, 825, 5487, 815, 5286, 15126, 263, 17442, 994, 825, 5721, 9078, 1601, 815, 5286, 15126, 6025, 1778, 9078, 1601, 994, 825, 23940, 8217, 815, 5286, 15126, 263, 9064, 8217, 994, 825, 15418, 9078, 1601, 815, 5286, 15126, 263, 1998, 9179, 9078, 1601, 2020, 825, 12693, 4729, 1826, 476, 272, 476, 2971, 454, 825, 1535, 815, 5286, 28802, 1015, 263, 17442, 994, 825, 12301, 19502, 3287, 25722, 1778, 9078, 1601, 10086, 337, 3299, 16932, 8782, 30221, 9078, 1601, 5073, 825, 12301, 19502, 3287, 267, 1998, 9179, 9078, 1601, 10086, 321, 3299, 16932, 815, 1412, 1998, 9078, 1601, 5073, 825, 12301, 11859, 16932, 2891, 8421, 10857, 10033, 264, 5602, 825, 12301, 269, 29786, 2891, 29754, 15419, 825, 12301, 269, 5586, 754, 10857, 665, 284, 273, 994, 825, 12301, 4732, 1511, 14808, 2891, 305, 31270, 9078, 1601, 318, 2421, 9078, 10033, 26666, 15419, 825, 476, 2971, 4729, 1826, 476, 273, 476, 2971, 454, 825, 1948, 5487, 815, 1496, 271, 269, 4905, 20080, 585, 1535, 538, 2039, 8987, 273, 267, 273, 22708, 825, 1948, 5487, 815, 1496, 1015, 1262, 330, 585, 737, 538, 2039, 8987, 274, 267, 476, 271, 22708, 825, 1948, 678, 815, 25754, 281, 4351, 27110, 263, 271, 267, 476, 14838, 994, 825, 1948, 12301, 8807, 2682, 4590, 825, 1948, 585, 22917, 538, 5487, 912, 825, 1948, 672, 23940, 318, 7290, 267, 29754, 318, 7290, 815, 2834, 1242, 14682, 2784, 5091, 27853, 11583, 17601, 11971, 17601, 267, 10401, 284, 271, 269, 272, 267, 25754, 318, 2958, 284, 4594, 994, 825, 1948, 672, 737, 565, 528, 815, 1412, 258, 260, 6349, 311, 260, 6349, 311, 260, 6349, 311, 262, 4939, 630, 337, 19572, 337, 19572, 337, 15405, 825, 1948, 672, 12301, 19502, 10857, 1601, 318, 7290, 267, 10233, 284, 330, 565, 528, 267, 16932, 284, 1598, 263, 4594, 994, 825, 1948, 454, 825, 1948, 1948, 12301, 269, 903, 7051, 3488, 8421, 5073, 825, 1948, 12301, 269, 5586, 754, 4590, 825, 1948, 12301, 11859, 3916, 263, 271, 267, 1220, 994, 825, 1948, 12301, 20481, 10797, 7531, 3698, 7470, 318, 14142, 29758, 10031, 825, 1948, 299, 1933, 532, 519, 10471, 454, 825, 1948, 1305, 25754, 815, 910, 271, 269, 6349, 454, 825, 1820, 3488, 2903, 532, 519, 10471, 17210, 825, 17093, 815, 19073, 18667, 32269, 3488, 327, 342, 272, 1673, 1092, 27406, 3299, 1642, 574, 3438, 284, 3299, 5073, 825, 2473, 815, 17093, 269, 11161, 18020, 32473, 272, 2639, 825, 586, 815, 17093, 269, 11161, 18020, 910, 272, 6540, 825, 1820, 3488, 306, 5902, 883, 21541, 543, 4530, 5073, 825, 2473, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 1449, 15481, 815, 1911, 267, 4351, 26077, 284, 1015, 2020, 825, 1820, 2891, 9928, 2718, 782, 547, 1496, 271, 267, 476, 272, 316, 5602, 825, 2473, 17601, 267, 2473, 15305, 815, 4183, 5332, 5436, 1436, 11583, 17601, 267, 2473, 15305, 2020, 825, 1948, 678, 815, 25754, 281, 4351, 27110, 263, 271, 267, 476, 14838, 994, 825, 1948, 12301, 8807, 2682, 4590, 825, 1948, 454, 825, 645, 8217, 815, 1496, 330, 585, 737, 538, 2039, 263, 272, 267, 476, 276, 264, 6540, 825, 5721, 9078, 1601, 815, 11713, 825, 23940, 8217, 815, 11713, 825, 15418, 9078, 1601, 815, 29129, 825, 585, 645, 538, 645, 8217, 912, 1038, 2473, 17601, 18425, 815, 5286, 19544, 23637, 9230, 311, 17601, 267, 645, 265, 12639, 269, 2158, 9230, 311, 17601, 17482, 314, 271, 3910, 476, 272, 4297, 4297, 1948, 11754, 9186, 2165, 454, 1038, 2473, 15305, 18425, 815, 5286, 19544, 23637, 9230, 311, 15305, 267, 645, 265, 12639, 269, 2158, 9230, 311, 15305, 17482, 314, 271, 3910, 476, 272, 4297, 4297, 1948, 11754, 9186, 2165, 7531, 1038, 23940, 318, 7290, 267, 29754, 318, 7290, 815, 2834, 1242, 14682, 2784, 5091, 27853, 11583, 17601, 18425, 11971, 17601, 267, 13672, 284, 271, 269, 4962, 267, 25754, 318, 2958, 284, 271, 269, 4905, 994, 1038, 5721, 9078, 1601, 6910, 263, 4818, 1393, 5334, 13645, 9078, 1601, 11583, 17601, 18425, 267, 586, 17601, 267, 23940, 318, 7290, 15631, 272, 8079, 314, 271, 267, 476, 271, 7481, 1038, 23940, 8217, 6910, 263, 9064, 318, 7290, 15631, 272, 7481, 1038, 15418, 9078, 1601, 6910, 263, 4818, 1393, 5334, 13645, 9078, 1601, 11583, 15305, 18425, 267, 586, 15305, 267, 23940, 318, 7290, 15631, 272, 8079, 314, 271, 267, 476, 271, 20285, 1038, 1948, 737, 565, 528, 815, 1412, 258, 260, 6349, 311, 260, 6349, 311, 260, 6349, 311, 262, 4939, 630, 337, 19572, 337, 19572, 337, 15405, 1038, 1948, 12301, 19502, 10857, 1601, 318, 7290, 267, 10233, 284, 330, 565, 528, 267, 16932, 284, 1598, 16360, 4917, 825, 1948, 12301, 269, 5586, 754, 4590, 825, 1948, 12301, 11859, 3916, 263, 271, 267, 736, 994, 825, 1948, 12301, 20481, 30800, 825, 12301, 19502, 16360, 8217, 25722, 1778, 9078, 1601, 10086, 337, 3299, 16932, 8782, 30221, 9078, 1601, 5073, 825, 12301, 19502, 16360, 8217, 267, 1998, 9179, 9078, 1601, 10086, 321, 3299, 16932, 815, 1412, 1998, 9078, 1601, 5073, 825, 12301, 11859, 16932, 2891, 289, 5602, 825, 12301, 269, 29786, 2891, 29754, 15419, 825, 12301, 269, 5586, 754, 10857, 665, 284, 273, 994, 825, 12301, 4732, 1511, 14808, 2891, 305, 31270, 9078, 1601, 318, 2421, 29758, 26666, 5602, 825, 8173, 825, 634, 1267, 2982, 602, 645, 1058, 581, 476, 271, 610, 910, 271, 269, 274, 8206, 8627, 11631, 888, 825, 5727, 19638, 692, 19399, 5992, 7462, 454, 2162, 304, 273, 269, 277, 320, 281, 853, 27181, 27240, 1304, 2677, 1417, 454, 3698, 32094, 14682, 2784, 5091, 27853, 11583, 267, 586, 267, 13672, 284, 271, 269, 4962, 267, 25754, 318, 2958, 284, 271, 269, 4905, 267, 1003, 318, 3438, 284, 1911, 271, 2187, 825, 8173, 825, 769, 713, 2243, 596, 786, 2936, 32094, 13506, 16350, 609, 513, 2834, 1436, 2165, 22562, 825, 1488, 7714, 912, 1038, 2473, 910, 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 ]
[ 263, 14818, 2187, 825, 5727, 577, 604, 534, 20701, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 815, 29129, 825, 1219, 7903, 4311, 267, 6221, 2187, 1038, 1582, 29096, 6910, 263, 14403, 2020, 825, 1219, 1402, 4311, 2187, 1038, 2132, 1582, 29096, 21014, 10797, 825, 7711, 5035, 24709, 454, 825, 1219, 6032, 263, 743, 338, 2187, 1038, 1820, 3488, 11687, 262, 9239, 5035, 4530, 273, 263, 14818, 272, 2187, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 2187, 1038, 2132, 7003, 4311, 29096, 9239, 338, 815, 4530, 273, 4590, 338, 4877, 2313, 263, 276, 994, 2745, 4433, 21014, 15405, 14818, 273, 269, 653, 4590, 0, 3698, 1293, 301, 272, 9852, 2187, 825, 10917, 815, 11713, 825, 1219, 6032, 9217, 2187, 1038, 1219, 6032, 272, 10031, 2018, 2132, 1775, 2608, 1775, 454, 1038, 2132, 6032, 272, 692, 825, 585, 1775, 538, 2039, 263, 272, 267, 544, 1341, 476, 272, 2187, 1038, 10917, 6910, 263, 653, 9217, 4917, 825, 2132, 10917, 7531, 320, 267, 536, 267, 524, 815, 1293, 301, 272, 263, 274, 994, 2745, 5416, 19572, 536, 19572, 524, 15405, 18851, 25051, 497, 418, 488, 488, 16583, 30936, 25051, 497, 29873, 28098, 420, 365, 350, 13213, 498, 18713, 508, 28793, 8147, 21796, 357, 418, 482, 493, 21251, 28884, 25060, 483, 12571, 360, 23746, 9463, 502, 28098, 420, 365, 350, 8147, 30006, 498, 417, 28187, 31284, 30837, 351, 7511, 418, 497, 491, 30853, 12163, 3698, 1293, 301, 273, 9852, 2187, 825, 10917, 815, 29129, 825, 585, 1775, 538, 2039, 263, 272, 267, 544, 1341, 476, 272, 2187, 1038, 1219, 6032, 10031, 2018, 2132, 1775, 2608, 1775, 454, 1038, 10917, 6910, 263, 653, 9239, 825, 2132, 10917, 7531, 320, 267, 536, 267, 524, 815, 1293, 301, 273, 263, 274, 994, 2745, 5416, 19572, 536, 19572, 524, 15405, 0, 5228, 10326, 1104, 10326, 7531, 5035, 3642, 912, 825, 1948, 1820, 10626, 1871, 540, 3597, 6843, 630, 817, 11167, 621, 568, 3193, 994, 825, 1948, 1820, 4408, 540, 782, 9136, 10272, 1282, 3406, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 3014, 4671, 872, 267, 2319, 2187, 1038, 1948, 19940, 3529, 630, 21671, 519, 3597, 6843, 267, 855, 713, 6843, 786, 2270, 519, 1453, 994, 1038, 1582, 3052, 877, 4671, 872, 815, 3014, 4671, 872, 454, 1038, 1582, 269, 974, 600, 815, 2319, 454, 1038, 2132, 692, 825, 1219, 13672, 10734, 9508, 318, 14142, 4311, 17107, 1038, 20581, 815, 10581, 3488, 8882, 5073, 1038, 1655, 26371, 815, 910, 8882, 6541, 454, 1038, 12498, 815, 20581, 692, 1038, 1967, 832, 815, 1582, 10947, 306, 15471, 832, 4311, 3052, 877, 4671, 872, 994, 1038, 1655, 26077, 815, 7183, 454, 1038, 585, 1533, 538, 1967, 832, 281, 476, 1948, 585, 1169, 6843, 10756, 2018, 1871, 815, 1582, 269, 2381, 19056, 263, 8063, 267, 1655, 26371, 267, 12498, 994, 2018, 952, 1871, 3436, 1655, 26371, 912, 3546, 1655, 26371, 815, 1871, 454, 3546, 1655, 26077, 815, 1533, 454, 1038, 1948, 2745, 9497, 2704, 6495, 289, 9508, 281, 476, 7780, 1006, 10025, 540, 17848, 19219, 281, 815, 834, 1341, 1193, 6357, 652, 26371, 4917, 1038, 1820, 2891, 2704, 6495, 289, 9508, 281, 476, 7454, 623, 19991, 547, 1847, 568, 4092, 693, 281, 834, 30492, 23526, 1193, 6357, 652, 26077, 269, 1245, 28053, 269, 992, 264, 1341, 1193, 6357, 652, 26077, 269, 1245, 28053, 31815, 4917, 1038, 1820, 2891, 2704, 6495, 289, 9508, 281, 476, 901, 4062, 1058, 581, 6410, 547, 281, 834, 30492, 23526, 1193, 6357, 652, 26077, 269, 2908, 28053, 269, 992, 264, 1341, 1193, 6357, 652, 26077, 269, 2908, 28053, 31815, 4917, 1038, 2132, 1655, 26077, 692, 825, 1219, 3193, 19056, 4311, 267, 6843, 267, 13672, 267, 12498, 2187, 1038, 1948, 2745, 9497, 2704, 6495, 289, 9508, 734, 285, 7246, 311, 281, 6250, 1243, 19219, 26012, 834, 1341, 1193, 27316, 269, 1245, 28053, 269, 992, 264, 1341, 1193, 27316, 269, 1245, 28053, 31815, 264, 1341, 834, 547, 834, 1341, 1193, 27316, 269, 2908, 28053, 269, 992, 264, 1341, 1193, 27316, 269, 2908, 28053, 31815, 4917, 1038, 952, 1582, 18994, 28350, 1400, 27316, 2187, 2018, 2132, 6843, 10947, 25219, 1006, 4311, 269, 974, 600, 994, 1038, 20581, 815, 10581, 3488, 8882, 5073, 1038, 1871, 815, 910, 8882, 6541, 692, 1038, 1967, 832, 815, 1582, 10947, 306, 15471, 832, 27316, 994, 1038, 585, 1533, 538, 1967, 832, 912, 2018, 1871, 815, 3193, 263, 7407, 267, 1582, 269, 2381, 19056, 263, 8063, 267, 13672, 267, 12498, 4917, 2018, 952, 1871, 13843, 12498, 912, 3546, 2132, 1871, 454, 2018, 13672, 815, 3193, 263, 10401, 267, 1871, 994, 1038, 2132, 1871, 692, 825, 1219, 1295, 19056, 4311, 267, 6843, 267, 13672, 267, 12498, 2187, 1038, 1948, 2745, 9497, 2704, 6495, 289, 9508, 734, 285, 300, 2562, 281, 6250, 1243, 19219, 26012, 834, 1341, 1193, 27316, 269, 1245, 28053, 269, 992, 264, 1341, 1193, 27316, 269, 1245, 28053, 31815, 264, 1341, 834, 547, 834, 1341, 1193, 27316, 269, 2908, 28053, 269, 992, 264, 1341, 1193, 27316, 269, 2908, 28053, 31815, 4917, 1038, 952, 1582, 18994, 28350, 1400, 27316, 2187, 2018, 2132, 6843, 10947, 25219, 1006, 4311, 269, 974, 600, 994, 1038, 20581, 815, 10581, 3488, 8882, 5073, 1038, 1871, 815, 20581, 692, 1038, 1967, 832, 815, 1582, 10947, 306, 15471, 832, 27316, 994, 1038, 585, 1533, 538, 1967, 832, 912, 2018, 1871, 815, 1295, 263, 7407, 267, 1582, 27982, 19056, 263, 8063, 267, 13672, 267, 12498, 4917, 2018, 952, 1871, 10922, 13672, 912, 3546, 2132, 1871, 454, 2018, 12498, 815, 1295, 6357, 9508, 267, 1871, 2020, 1038, 2132, 1871, 454, 825, 1948, 4449, 672, 1948, 454, 825, 1948, 567, 772, 2316, 299, 14510, 631, 24518, 7495, 306, 567, 1948, 454, 825, 1948, 4449, 672, 1948, 692, 825, 1948, 24288, 2829, 538, 513, 3014, 3529, 616, 519, 1126, 9136, 2483, 825, 1219, 1205, 306, 15471, 832, 4311, 267, 6843, 2187, 1038, 7682, 6843, 568, 711, 7183, 454, 1038, 2132, 6843, 269, 18244, 692, 825, 1948, 2132, 3020, 952, 519, 6843, 814, 12971, 1453, 630, 338, 15471, 528, 2829, 994, 825, 1948, 2132, 7301, 952, 519, 6843, 814, 1453, 630, 338, 15471, 528, 2829, 994, 825, 1219, 568, 28350, 1400, 4311, 267, 6843, 2187, 1038, 7682, 6843, 568, 711, 7183, 454, 1038, 2132, 7003, 27316, 269, 18244, 264, 2652, 476, 271, 454, 0, 258, 3367, 538, 1079, 9981, 267, 513, 543, 536, 267, 543, 1820, 1614, 3515, 23228, 258, 634, 1101, 1899, 568, 519, 8870, 6498, 513, 12262, 536, 1477, 258, 630, 4407, 1210, 5124, 273, 3314, 547, 1104, 6498, 689, 6449, 325, 1956, 1029, 1040, 1477, 258, 634, 2034, 1899, 568, 519, 1267, 540, 519, 1110, 25222, 11346, 281, 513, 4939, 536, 23228, 258, 634, 3791, 1899, 16493, 519, 2820, 7116, 540, 513, 543, 536, 269, 24653, 320, 267, 536, 815, 630, 842, 9272, 28829, 585, 9041, 538, 2039, 263, 273, 17903, 2745, 5416, 12262, 536, 3418, 2745, 5416, 4939, 536, 3418, 2745, 5560, 643, 7116, 5416, 267, 536, 17903, 0, 258, 476, 273, 269, 16448, 1023, 454, 258, 476, 272, 269, 273, 269, 3503, 513, 23641, 1982, 602, 12134, 585, 1079, 2338, 543, 16493, 741, 2040, 2676, 258, 3017, 267, 1587, 543, 23479, 563, 258, 476, 273, 269, 273, 269, 5269, 513, 23641, 9498, 269, 1230, 18030, 1982, 1058, 454, 258, 2307, 3593, 585, 1079, 2338, 543, 519, 5106, 519, 3593, 6499, 547, 581, 13401, 454, 258, 630, 611, 1288, 267, 12408, 267, 8691, 267, 6498, 5148, 1287, 621, 2488, 513, 1267, 563, 692, 6112, 6936, 912, 825, 1820, 3488, 8923, 4283, 1079, 2338, 281, 30386, 825, 513, 267, 536, 815, 630, 842, 9272, 28829, 585, 9041, 538, 2039, 263, 273, 4917, 825, 5106, 815, 3403, 3488, 8923, 4283, 5106, 630, 306, 585, 2040, 267, 667, 585, 6498, 267, 1412, 454, 4449, 8587, 1412, 303, 585, 1587, 610, 1627, 585, 23479, 281, 30386, 825, 952, 5106, 31573, 3890, 2652, 1412, 338, 12466, 1038, 1820, 3488, 11764, 568, 281, 15079, 8339, 8971, 5416, 1341, 536, 4917, 825, 8640, 5106, 31573, 3890, 2652, 1412, 323, 12466, 1038, 1820, 3488, 11795, 2397, 568, 281, 15079, 8339, 8971, 263, 11274, 5416, 910, 536, 21875, 825, 8640, 5106, 31573, 3890, 2652, 1412, 335, 12466, 1038, 1820, 3488, 29410, 568, 281, 15079, 8339, 8971, 5416, 2608, 536, 4917, 825, 8640, 5106, 31573, 3890, 2652, 1412, 336, 12466, 1038, 1820, 3488, 4504, 5226, 582, 1304, 568, 281, 2715, 4153, 333, 293, 5979, 520, 5226, 582, 1304, 568, 281, 15079, 8339, 8971, 5416, 12262, 536, 267, 513, 1315, 536, 4917, 825, 3116, 912, 1038, 14827, 10797, 0, 258, 9717, 606, 8870, 19885, 2073, 543, 562, 2230, 5498, 1706, 730, 9981, 607, 3403, 267, 1711, 513, 24042, 25722, 2073, 540, 1346, 562, 9981, 23228, 258, 3973, 12337, 543, 1820, 519, 1267, 540, 19474, 6025, 1040, 24653, 333, 815, 703, 9272, 3890, 3418, 15759, 518, 8217, 815, 4786, 17301, 267, 3403, 14061, 20889, 3890, 3418, 15759, 518, 8217, 815, 1496, 842, 3287, 264, 585, 1535, 538, 8870, 8217, 15947, 2745, 263, 15759, 518, 8217, 3418, 339, 815, 24042, 263, 15759, 518, 8217, 3418, 2745, 22607, 1662, 6025, 17903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14187, 25742, 256, 7055 ]
[ 1, 1, 1, 1 ]
[ 9599, 827, 621, 563, 31800, 1695, 267, 594, 5018, 547, 596, 519, 824, 1554, 267, 594, 729, 2469, 998, 938, 5616, 20000, 543, 3357, 2066, 513, 17835, 602, 649, 1185, 2322, 1927, 267, 1631, 594, 6557, 3206, 713, 1223, 723, 1044, 476, 1428, 1296, 3516, 454, 2691, 649, 14437, 827, 3257, 513, 1257, 267, 513, 4704, 1433, 267, 711, 513, 1837, 267, 855, 513, 4704, 1433, 585, 3610, 267, 547, 4001, 5931, 689, 824, 4025, 269, 1809, 1631, 649, 4076, 3893, 713, 6909, 4316, 547, 798, 513, 1454, 1732, 2816, 543, 2965, 1205, 519, 9739, 267, 594, 1205, 2731, 9599, 827, 713, 563, 296, 798, 1932, 454, 296, 991, 547, 1265, 513, 6739, 4116, 269, 594, 1611, 267, 594, 2731, 865, 1454, 1616, 547, 1265, 513, 6739, 1268, 945, 666, 2911, 827, 4258, 16223, 990, 267, 596, 917, 594, 2648, 4258, 16223, 990, 269, 1809, 849, 267, 540, 1576, 267, 667, 739, 1195, 5271, 24989, 269, 594, 3314, 267, 6158, 547, 713, 18560, 267, 646, 729, 606, 2272, 656, 269, 1656, 649, 941, 1175, 6158, 827, 930, 8631, 269, 1809, 1282, 602, 267, 594, 1336, 856, 602, 1010, 544, 636, 267, 602, 789, 941, 6739, 267, 543, 602, 1010, 544, 636, 1031, 547, 2661, 538, 519, 1482, 3625, 540, 6306, 906, 607, 667, 739, 1195, 5271, 24989, 563, 296, 917, 269, 1656, 621, 779, 1175, 899, 267, 594, 991, 547, 1265, 1010, 2012, 269, 1703, 616, 4030, 602, 789, 1131, 723, 2676, 2005, 779, 899, 6972, 538, 519, 3723, 25074, 540, 891, 4589, 269, 898, 779, 519, 1985, 1655, 3364, 269, 594, 1611, 267, 649, 666, 1406, 979, 1394, 538, 942, 267, 649, 1810, 1406, 723, 513, 570, 19181, 3041, 269, 1284, 666, 1406, 2911, 547, 930, 540, 891, 8106, 4589, 6000, 269, 1809, 649, 666, 6157, 2911, 547, 1004, 945, 1174, 519, 2796, 540, 1018, 789, 5206, 563, 4517, 602, 779, 2731, 267, 2731, 3078, 563, 10303, 594, 1611, 267, 649, 666, 4585, 782, 519, 22342, 9413, 543, 32026, 827, 519, 12019, 2782, 543, 827, 519, 1259, 1919, 941, 538, 6576, 267, 855, 649, 666, 1406, 917, 621, 563, 5591, 267, 543, 649, 666, 1406, 917, 621, 689, 606, 4890, 1268, 779, 5133, 269, 1411, 917, 267, 596, 4043, 547, 1205, 519, 4013, 1899, 610, 1256, 606, 1977, 1242, 610, 7262, 1242, 4528, 540, 602, 596, 269, 1411, 1810, 1406, 1205, 519, 8076, 9739, 267, 540, 28695, 4890, 1004, 269, 1656, 602, 779, 2731, 1271, 454, 2005, 568, 269, 1284, 666, 1224, 827, 519, 3652, 269, 1411, 917, 267, 649, 666, 1224, 827, 519, 2797, 2676, 31800, 1695, 267, 621, 779, 519, 14908, 269, 1411, 917, 267, 1346, 1919, 602, 616, 711, 13798, 1881, 267, 855, 602, 596, 1175, 917, 267, 952, 596, 5030, 538, 602, 1747, 267, 693, 602, 942, 267, 610, 1256, 1472, 602, 942, 269, 594, 729, 6158, 547, 835, 540, 938, 14538, 538, 513, 7008, 540, 4374, 267, 4911, 11253, 15397, 1399, 568, 6158, 827, 1715, 10215, 3332, 269, 1656, 649, 941, 795, 3183, 827, 519, 2856, 602, 267, 596, 917, 267, 8259, 596, 4076, 5030, 538, 1715, 10215, 267, 8259, 596, 2461, 851, 540, 621, 267, 596, 1810, 1406, 917, 1946, 789, 1289, 555, 29330, 267, 795, 663, 1023, 563, 21132, 711, 2854, 1524, 9170, 267, 972, 779, 1100, 1876, 827, 621, 269, 1809, 596, 1175, 917, 621, 269, 1656, 602, 779, 1018, 596, 991, 269, 1879, 649, 2119, 547, 2671, 891, 10600, 609, 1053, 267, 594, 1589, 267, 543, 547, 1205, 1053, 1318, 883, 621, 543, 17991, 909, 267, 596, 991, 547, 723, 3893, 930, 540, 891, 24300, 930, 540, 891, 2984, 267, 865, 602, 596, 666, 2671, 873, 609, 519, 1053, 267, 543, 789, 666, 1287, 723, 1732, 6278, 609, 519, 1257, 267, 594, 1589, 563, 296, 917, 267, 543, 607, 2296, 3610, 267, 649, 798, 602, 267, 610, 649, 3801, 547, 798, 602, 547, 519, 1655, 540, 938, 2702, 267, 855, 267, 596, 917, 267, 607, 1454, 1382, 607, 596, 666, 798, 267, 543, 3843, 547, 1747, 3054, 267, 596, 917, 267, 538, 519, 2990, 540, 891, 1004, 267, 596, 1175, 666, 1406, 798, 621, 267, 607, 1134, 267, 607, 1004, 945, 723, 5116, 2933, 538, 602, 2990, 945, 616, 972, 945, 616, 6461, 1227, 2713, 713, 269, 1656, 594, 1589, 602, 779, 1018, 779, 865, 1271, 267, 538, 713, 2085, 540, 2686, 3261, 566, 267, 1577, 779, 711, 798, 602, 269, 2913, 779, 2965, 1205, 547, 519, 5377, 1899, 540, 621, 267, 543, 3717, 547, 1004, 945, 723, 1044, 972, 945, 723, 2944, 602, 2676, 6546, 2856, 540, 2686, 3261, 566, 267, 543, 594, 1611, 267, 585, 803, 267, 607, 596, 917, 267, 602, 568, 513, 2462, 3390, 269, 585, 803, 2348, 1044, 4535, 267, 1250, 3237, 616, 13677, 543, 607, 1373, 4535, 607, 513, 3043, 1126, 538, 3127, 267, 543, 1175, 1310, 519, 14076, 267, 855, 1869, 267, 693, 513, 942, 1141, 6628, 4371, 267, 596, 917, 267, 814, 4299, 519, 1259, 12075, 543, 4095, 5931, 616, 14648, 269, 1656, 1287, 2713, 538, 14135, 607, 513, 3119, 1153, 2875, 267, 543, 3257, 1250, 3119, 2069, 972, 267, 543, 711, 1373, 3222, 540, 10168, 267, 610, 2686, 3261, 566, 610, 1022, 540, 1346, 1919, 2394, 1454, 2663, 269, 1656, 267, 594, 3314, 621, 865, 5693, 267, 593, 519, 1259, 547, 5245, 267, 1317, 649, 28953, 267, 649, 3357, 593, 513, 10935, 267, 1175, 538, 2013, 1004, 941, 11842, 267, 7012, 1406, 1360, 2462, 10935, 267, 855, 621, 729, 513, 10935, 269, 1924, 649, 4076, 8854, 689, 14135, 267, 649, 4682, 547, 17289, 547, 10854, 330, 758, 585, 513, 7008, 540, 4374, 267, 610, 513, 1906, 2395, 267, 1965, 7870, 803, 269, 1656, 1287, 649, 24363, 547, 918, 13083, 1092, 267, 649, 941, 9277, 547, 1152, 581, 538, 918, 13083, 1092, 267, 585, 513, 3018, 610, 865, 269, 1656, 1287, 649, 941, 2469, 547, 1294, 519, 29069, 10067, 531, 267, 543, 3388, 1354, 2469, 547, 29180, 267, 610, 25512, 599, 267, 594, 1589, 621, 729, 1869, 1572, 693, 519, 942, 267, 547, 1205, 519, 6928, 267, 547, 5245, 269, 1656, 594, 2968, 3222, 950, 594, 729, 3833, 1762, 827, 519, 3604, 538, 1272, 585, 267, 1453, 689, 1114, 2477, 269, 1656, 594, 7948, 1406, 960, 856, 1946, 1250, 1272, 1185, 1044, 865, 1114, 269, 1548, 1185, 5949, 585, 1346, 1453, 538, 3127, 945, 594, 4718, 607, 649, 15336, 1524, 519, 8265, 269, 1656, 1946, 267, 789, 1185, 7864, 3255, 982, 1018, 594, 1185, 269, 594, 4769, 1406, 1589, 602, 729, 4023, 269, 1809, 594, 729, 1762, 693, 519, 942, 269, 1656, 621, 729, 1354, 594, 6956, 827, 2686, 3261, 566, 543, 3935, 5314, 267, 602, 1250, 7287, 267, 5310, 547, 1628, 513, 1153, 543, 1491, 782, 519, 1453, 1055, 519, 8265, 267, 729, 5310, 711, 606, 3617, 3210, 269, 1809, 1631, 594, 1611, 267, 538, 519, 2063, 7008, 540, 1296, 267, 2348, 519, 4960, 547, 581, 538, 3127, 543, 547, 4001, 972, 543, 538, 26512, 667, 4725, 328, 543, 14135, 269, 594, 729, 14281, 547, 1265, 602, 789, 1289, 873, 2296, 3332, 267, 789, 1289, 519, 5396, 2296, 3332, 269, 1809, 972, 616, 4095, 5931, 543, 6739, 5931, 543, 9721, 5931, 543, 782, 540, 891, 1866, 269, 898, 1175, 4667, 547, 803, 547, 581, 513, 3787, 678, 8775, 563, 25802, 267, 1360, 678, 8775, 563, 31800, 1695, 269, 1656, 594, 2968, 3222, 267, 543, 713, 568, 32049, 269, 1809, 3220, 269, 30038, 20811, 32511, 6756, 5096, 625, 689, 24332, 23958, 3427, 540, 4065, 729, 6158, 827, 267, 1352, 779, 513, 2296, 3332, 543, 1893, 11285, 269, 1656, 1352, 729, 6158, 827, 1946, 3610, 538, 5245, 3100, 26997, 547, 4001, 8241, 5931, 2676, 763, 2686, 1835, 16636, 6148, 888, 9515, 3081, 602, 779, 9090, 972, 269, 1809, 519, 824, 3364, 1352, 1767, 729, 602, 267, 930, 3610, 267, 15151, 2161, 602, 789, 1265, 519, 10168, 610, 519, 5208, 2352, 547, 4001, 269, 1656, 594, 2219, 1134, 9811, 602, 779, 15502, 269, 1809, 789, 666, 1869, 4001, 11313, 1321, 4911, 787, 9093, 16224, 2048, 2414, 23703, 513, 631, 20689, 10200, 594, 798, 4898, 2436, 621, 779, 4443, 585, 721, 547, 4001, 18825, 3116, 779, 4158, 2984, 563, 2750, 18075, 982, 547, 2263, 938, 1378, 563, 3719, 602, 779, 1932, 2673, 547, 1753, 563, 6546, 779, 1318, 269, 898, 779, 15502, 547, 2161, 267, 2048, 17764, 267, 789, 798, 602, 267, 855, 649, 1810, 1406, 798, 602, 10200, 1809, 1287, 950, 596, 1224, 1919, 899, 2048, 291, 1737, 569, 1133, 3534, 685, 543, 824, 5931, 267, 596, 8275, 602, 649, 1705, 2965, 269, 1656, 8338, 538, 1082, 267, 538, 1082, 2665, 563, 763, 824, 3364, 30038, 20811, 729, 6158, 827, 267, 1352, 5189, 519, 2856, 540, 519, 2048, 21547, 4954, 599, 3687, 1393, 16224, 543, 594, 4076, 2760, 4862, 540, 621, 269, 5620, 596, 454, 3891, 731, 540, 621, 286, 3143, 563, 31800, 1695, 269, 4270, 267, 5839, 4954, 599, 729, 835, 540, 519, 3703, 2229, 779, 28643, 1004, 267, 538, 3127, 538, 519, 476, 5197, 271, 338, 269, 6168, 476, 7277, 271, 338, 267, 607, 789, 941, 4259, 909, 267, 25531, 8631, 538, 3127, 269, 2368, 2724, 1185, 1044, 1500, 2139, 547, 948, 609, 3478, 16130, 543, 12428, 3332, 269, 1656, 15966, 879, 2917, 5206, 1018, 568, 6157, 711, 513, 8792, 269, 1261, 5206, 713, 3364, 602, 729, 2366, 1394, 267, 1185, 827, 476, 1724, 267, 610, 476, 1789, 267, 610, 1945, 2694, 547, 621, 269, 1809, 972, 616, 513, 7008, 602, 941, 267, 594, 6557, 711, 594, 1611, 267, 594, 666, 1406, 2995, 596, 1018, 789, 941, 267, 1317, 621, 2306, 803, 1745, 7210, 1175, 547, 2161, 519, 1913, 269, 1809, 1010, 2070, 729, 267, 602, 602, 1131, 581, 513, 15265, 3653, 540, 2724, 269, 5221, 689, 1018, 646, 1185, 2938, 267, 519, 4654, 941, 865, 18642, 267, 789, 7948, 1406, 4952, 602, 4376, 4190, 1223, 581, 1767, 538, 2901, 540, 1346, 4654, 563, 6546, 568, 865, 29832, 755, 532, 267, 3884, 1406, 621, 888, 4517, 267, 543, 646, 4682, 593, 547, 2161, 602, 621, 729, 6654, 602, 835, 15808, 540, 3703, 3332, 729, 4502, 811, 982, 782, 519, 16130, 543, 12428, 3332, 5916, 563, 4462, 4385, 29150, 476, 1321, 281, 5655, 454, 2005, 779, 1175, 813, 16226, 269, 1656, 1287, 267, 646, 4682, 593, 547, 2161, 602, 649, 2877, 2560, 10756, 2005, 4992, 513, 3787, 899, 15623, 28199, 2965, 563, 11039, 267, 6148, 267, 9493, 1695, 269, 1809, 621, 786, 2507, 10756, 2791, 917, 267, 2296, 3332, 3568, 782, 602, 568, 1034, 3617, 585, 513, 1268, 547, 1224, 547, 1451, 875, 547, 13789, 14013, 538, 454, 31800, 1695, 269, 1656, 646, 543, 5839, 879, 2917, 2965, 1767, 602, 269, 1261, 1767, 267, 649, 1616, 547, 1118, 873, 811, 2296, 563, 17764, 267, 9811, 269, 2290, 540, 519, 6574, 4630, 4094, 1944, 2645, 2479, 568, 3332, 543, 454, 12626, 1893, 267, 9493, 1695, 563, 11039, 267, 2296, 1893, 3332, 267, 9811, 269, 1809, 596, 917, 267, 855, 1818, 3332, 782, 827, 1152, 2296, 3332, 269, 23010, 267, 568, 9090, 835, 540, 519, 10782, 30566, 545, 2645, 602, 602, 568, 2139, 543, 814, 1044, 1031, 563, 4517, 713, 568, 267, 713, 568, 1018, 594, 1589, 568, 2731, 1271, 269, 2296, 1893, 568, 606, 1271, 1893, 267, 1004, 538, 782, 2477, 946, 621, 2676, 3719, 621, 1058, 2760, 581, 1031, 693, 519, 1942, 540, 519, 1004, 779, 1378, 1893, 269, 3143, 267, 543, 454, 5591, 267, 543, 6157, 711, 693, 519, 1942, 540, 741, 2528, 563, 4517, 602, 779, 1018, 2296, 1893, 3450, 729, 269, 1656, 538, 4025, 899, 3127, 267, 543, 1256, 1934, 267, 596, 917, 267, 594, 12582, 1406, 2161, 1256, 1934, 267, 594, 1175, 1934, 538, 519, 1114, 29152, 1137, 543, 1114, 4025, 602, 6805, 1453, 941, 13473, 267, 621, 729, 2944, 547, 1118, 873, 811, 2296, 563, 2005, 779, 4277, 267, 6158, 547, 835, 540, 519, 824, 14501, 649, 4076, 3893, 4947, 909, 267, 609, 717, 933, 324, 2672, 328, 9149, 267, 945, 779, 513, 10564, 543, 4116, 538, 14135, 267, 543, 646, 12909, 827, 519, 2185, 4654, 269, 14135, 568, 513, 2731, 4277, 2197, 267, 865, 2484, 607, 602, 4422, 267, 972, 616, 2185, 4654, 267, 1614, 3993, 10209, 1132, 267, 865, 602, 779, 13495, 18288, 267, 30017, 543, 20474, 269, 1656, 2296, 568, 519, 1893, 540, 6044, 543, 14104, 269, 1411, 917, 267, 10350, 563, 8133 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20730, 563, 291, 269, 589, 15678, 10122, 1995, 563, 12585, 281, 667, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 14328, 3039, 4457, 16463, 1124, 330, 834, 536, 834, 16463, 4457, 3039, 14328, 1124, 330, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 786, 995, 22293, 543, 24677, 540, 1034, 4892, 540, 519, 18517, 540, 7111, 4892, 543, 519, 17866, 4027, 6488, 539, 7111, 10723, 4609, 269, 898, 1058, 6161, 4896, 538, 519, 5571, 1870, 540, 12423, 3013, 4799, 297, 864, 1284, 11232, 267, 7905, 540, 15215, 543, 7111, 1977, 5525, 267, 2160, 540, 11908, 454, 257, 15124, 22484, 568, 513, 4241, 543, 8903, 3308, 17245, 602, 1058, 581, 513, 17028, 7458, 15896, 540, 1169, 6281, 1153, 543, 2852, 610, 6280, 5399, 1862, 763, 1543, 568, 14222, 1862, 763, 3872, 1871, 540, 713, 4670, 568, 11999, 267, 1373, 10858, 547, 513, 1390, 3099, 540, 4690, 543, 4081, 10459, 281, 1977, 3778, 267, 7111, 1977, 3778, 543, 15215, 267, 28668, 543, 26337, 267, 24205, 267, 6599, 333, 2762, 267, 9412, 3203, 267, 6599, 7224, 268, 543, 19232, 334, 268, 770, 25348, 267, 11848, 5525, 267, 5274, 17323, 543, 7025, 5525, 267, 543, 4207, 3609, 6194, 267, 1851, 1866, 1862, 2005, 2306, 10731, 569, 2312, 1175, 875, 1454, 666, 581, 6591, 689, 11836, 1927, 519, 960, 540, 3318, 3744, 267, 12206, 267, 543, 11091, 1235, 609, 519, 1702, 543, 2833, 540, 3978, 993, 622, 2720, 543, 2199, 7264, 538, 2673, 15360, 609, 5065, 9082, 543, 741, 7415, 5711, 5389, 269, 1656, 1018, 568, 6591, 568, 3833, 7096, 281, 513, 1007, 5133, 711, 1152, 593, 606, 28430, 1623, 6798, 2670, 540, 513, 1880, 1004, 267, 1747, 267, 543, 942, 267, 855, 849, 513, 556, 528, 1304, 566, 540, 938, 1360, 1259, 540, 3168, 693, 938, 8608, 4799, 32178, 918, 677, 636, 267, 21133, 7905, 267, 13898, 543, 28299, 267, 5101, 17906, 3557, 2160, 267, 5741, 26064, 267, 9412, 3203, 543, 26337, 281, 15766, 908, 681, 3770, 23721, 538, 519, 27245, 1014, 16816, 2967, 454, 257, 15124, 22484, 7710, 519, 9420, 5544, 540, 8109, 2475, 7111, 1686, 267, 21006, 519, 4922, 13463, 671, 3661, 602, 519, 6149, 3889, 1336, 782, 2066, 519, 5251, 616, 4986, 811, 982, 3864, 7810, 6149, 31966, 269, 1306, 519, 4670, 6941, 267, 972, 568, 1100, 2653, 7810, 7778, 585, 1022, 540, 891, 4609, 269, 5502, 267, 519, 2653, 7778, 568, 602, 891, 30060, 6149, 3889, 616, 7533, 547, 606, 1620, 540, 3504, 7111, 17651, 1759, 593, 741, 2853, 602, 9161, 3278, 1747, 269, 4279, 22484, 20310, 569, 2306, 519, 2013, 602, 998, 606, 1620, 540, 891, 4025, 267, 799, 568, 16119, 1759, 538, 17650, 531, 1702, 267, 649, 786, 6368, 1412, 4134, 16225, 3013, 262, 734, 24392, 789, 1185, 547, 7227, 2394, 519, 476, 2641, 560, 2540, 547, 798, 865, 4799, 7804, 269, 5845, 13852, 325, 344, 630, 19669, 3047, 1323, 880, 2088, 23042, 1070, 5853, 532, 20513, 16588, 267, 1977, 4095, 5525, 5358, 267, 12309, 3557, 2160, 267, 15445, 10615, 267, 4741, 585, 519, 5530, 540, 7087, 27079, 12983, 267, 8191, 267, 8422, 674, 2231, 30767, 281, 634, 1323, 880, 3534, 629, 1122, 540, 519, 8235, 15049, 517, 27079, 4133, 454, 257, 293, 2444, 3215, 907, 288, 1747, 540, 11018, 540, 7111, 9082, 585, 5215, 540, 1296, 267, 519, 1858, 6585, 2620, 3140, 543, 5289, 4644, 585, 1896, 11031, 269, 2311, 519, 4099, 540, 519, 15784, 616, 17174, 3646, 547, 26699, 606, 19633, 7269, 602, 1131, 7519, 519, 25306, 10830, 3135, 1862, 307, 1026, 531, 2818, 25077, 602, 891, 6149, 21219, 17330, 4027, 269, 10705, 5156, 547, 723, 1044, 2813, 676, 3504, 17417, 610, 21152, 267, 17174, 2818, 8044, 789, 616, 2864, 19183, 540, 3504, 18577, 7111, 4892, 4529, 543, 2611, 7740, 540, 2713, 16008, 269, 634, 4670, 1058, 6961, 2523, 3407, 538, 5717, 540, 10723, 3135, 4027, 267, 543, 538, 5717, 540, 519, 3096, 540, 5711, 1686, 543, 2757, 1702, 607, 2707, 1570, 4799, 27746, 645, 269, 744, 28952, 267, 7905, 543, 17348, 267, 4972, 540, 24205, 543, 28668, 267, 26658, 5441, 454, 257, 6124, 4789, 781, 28430, 6149, 3889, 543, 7555, 10007, 723, 1044, 519, 5396, 540, 3552, 16697, 902, 1862, 15124, 22484, 8591, 513, 4105, 4831, 4812, 602, 12034, 891, 6149, 21219, 607, 10723, 4025, 593, 519, 7111, 1977, 30060, 5251, 269, 634, 17245, 3217, 721, 593, 513, 3460, 2066, 2230, 543, 998, 942, 547, 7866, 10875, 4030, 883, 1018, 519, 5251, 23327, 547, 519, 3148, 781, 7111, 9082, 543, 5267, 827, 741, 1686, 269, 634, 2963, 568, 8903, 543, 1008, 25607, 267, 543, 6770, 1454, 2877, 3007, 547, 519, 2591, 540, 9301, 543, 7863, 10723, 8916, 1862, 12663, 1683, 606, 21716, 543, 4051, 633, 3408, 540, 1715, 4789, 607, 7111, 2230, 4799, 303, 6222, 807, 661, 269, 22859, 6975, 821, 267, 7905, 540, 28668, 267, 9466, 2160, 267, 8191, 267, 3400, 557, 7201, 339, 752, 902, 281, 1323, 26337, 540, 23011, 13879, 543, 519, 23902, 4048, 753, 9116, 12075, 454, 21893, 2898, 4670, 1223, 15983, 581, 1031, 585, 9840, 538, 13460, 1862, 763, 8689, 4547, 22759, 267, 9355, 267, 543, 513, 9867, 12319, 2807, 2690, 2852, 1053, 538, 1977, 5525, 267, 19795, 267, 7111, 5525, 267, 22884, 267, 2797, 2257, 267, 543, 1480, 2924, 2090, 267, 713, 17245, 1131, 6157, 581, 4051, 633, 4799, 312, 1407, 6997, 10235, 267, 700, 262, 26536, 527, 2946, 5918, 2372, 2946, 13069, 20221, 8053, 28584, 531, 267, 7087, 24447, 12983, 543, 8249, 454, 257, 291, 665, 3701, 519, 1950, 2078, 1063, 1646, 267, 15456, 26995, 543, 8978, 11091, 1862, 763, 4670, 2488, 606, 4277, 2013, 1353, 540, 519, 991, 585, 15360, 607, 851, 540, 519, 8791, 476, 11793, 1184, 4799, 13731, 2088, 681, 328, 996, 267, 1715, 3840, 3557, 7467, 267, 28668, 5623, 18482, 454, 10454, 2093, 602, 7111, 1977, 11031, 941, 811, 10562, 982, 5892, 2219, 267, 543, 1082, 811, 4609, 540, 18840, 1670, 1719, 2611, 2429, 17368, 14665, 2136, 2276, 616, 10578, 543, 17709, 540, 7634, 1862, 8777, 1645, 1862, 27775, 2105, 4799, 297, 612, 3821, 1772, 2401, 267, 2160, 540, 19051, 693, 4864, 320, 267, 12409, 9012, 17352, 6732, 0, 1103, 519, 7330, 267, 8459, 2860, 568, 519, 15795, 3056, 2014, 540, 2860, 7972, 267, 543, 568, 2219, 547, 581, 3743, 585, 5176, 476, 1724, 476, 1822, 7972, 513, 1032, 269, 26640, 2860, 568, 711, 513, 2582, 2068, 267, 855, 568, 1500, 909, 540, 1896, 1114, 2010, 540, 2860, 267, 1142, 540, 799, 814, 1114, 1277, 1670, 2934, 267, 814, 513, 1114, 4791, 1576, 267, 543, 20781, 8335, 547, 2126, 563, 763, 1034, 1455, 1826, 568, 2312, 16052, 17669, 2860, 267, 799, 6589, 585, 476, 4037, 260, 540, 2550, 269, 9615, 3681, 616, 3908, 543, 6668, 568, 4057, 267, 543, 6114, 609, 946, 540, 18068, 267, 17441, 267, 610, 6211, 2126, 267, 543, 1256, 609, 930, 540, 519, 1007, 6098, 5061, 267, 25864, 9765, 476, 1015, 18336, 23178, 9986, 643, 1512, 681, 1460, 324, 630, 17206, 540, 8303, 267, 5333, 264, 543, 9164, 1867, 4681, 689, 513, 5123, 4083, 4693, 540, 4949, 527, 514, 756, 8584, 16496, 28166, 540, 15466, 32361, 2208, 3815, 630, 309, 9680, 293, 264, 13364, 476, 272, 267, 476, 273, 267, 543, 476, 274, 2987, 476, 7367, 2550, 609, 22270, 710, 18022, 847, 800, 267, 22037, 1738, 8459, 2860, 630, 7906, 540, 7247, 1185, 2312, 16052, 17669, 2860, 1040, 476, 2537, 2550, 1185, 2347, 610, 9864, 6114, 267, 930, 540, 799, 941, 1279, 18835, 281, 476, 1321, 540, 891, 2550, 27636, 1282, 519, 1353, 267, 609, 513, 8653, 540, 3210, 8151, 689, 1472, 476, 275, 3275, 547, 476, 2918, 3275, 269, 3958, 267, 476, 2420, 2550, 4951, 7123, 2068, 585, 3476, 982, 476, 279, 4374, 267, 1519, 476, 1724, 2550, 609, 7123, 2068, 585, 476, 2190, 4374, 610, 3476, 269, 9050, 2550, 1185, 2038, 2068, 11144, 269, 476, 1789, 2550, 1185, 13119, 1644, 547, 519, 2126, 267, 855, 2427, 13716, 338, 538, 2489, 941, 19242, 543, 6417, 676, 9570, 14842, 610, 11215, 1416, 563, 15675, 1947, 13389, 513, 2582, 2208, 3815, 13805, 13374, 1223, 1683, 519, 1761, 547, 678, 14260, 4188, 13121, 1137, 543, 9192, 5061, 9859, 693, 1808, 2694, 540, 519, 13374, 547, 6922, 1047, 17219, 543, 3035, 519, 19993, 9354, 4324, 269, 7905, 681, 1460, 324, 20147, 602, 968, 763, 6662, 3210, 543, 942, 547, 11144, 538, 938, 1353, 2303, 602, 4949, 527, 514, 756, 1522, 581, 513, 9621, 3075, 538, 519, 2126, 540, 2550, 609, 22037, 1738, 17669, 16052, 2860, 282, 4352, 513, 4351, 2213, 6417, 4693, 568, 2877, 547, 6166, 713, 4466, 3034, 1103, 606, 18913, 14506, 543, 31472, 6085, 267, 3220, 654, 3057, 8725, 7412, 7315, 630, 13233, 9435, 4659, 267, 5975, 1127, 6767, 267, 10790, 267, 7330, 264, 2829, 602, 891, 4681, 968, 24175, 2248, 602, 513, 3075, 971, 607, 4949, 527, 514, 756, 814, 9153, 607, 513, 2034, 11060, 2126, 538, 22270, 710, 18022, 847, 800, 22037, 1738, 17669, 16052, 26217, 267, 543, 1522, 723, 1761, 607, 1101, 11060, 2126, 610, 538, 4999, 609, 824, 8069, 13389, 519, 966, 517, 26194, 601, 6441, 785, 879, 13374, 630, 528, 1312, 1040, 7536, 307, 3415, 17340, 2421, 1923, 620, 17304, 454, 301, 534, 641, 14895, 607, 513, 8827, 1996, 25095, 8438, 18650, 888, 1428, 269, 1321, 269, 1001, 278, 1923, 26179, 4149, 577, 14525, 268, 26536, 28059, 808, 6511, 454, 5522, 553, 3000, 545, 19777, 839, 832, 5512, 1646, 540, 1007, 2653, 3562, 14025, 1072, 4255, 454, 1691, 269, 1321, 269, 1001, 278, 1923, 589, 531, 1729, 2160, 454, 288, 1353, 5645, 856, 676, 606, 3486, 2319, 540, 3173, 543, 3370, 538, 519, 4760, 8447, 5623, 2473, 2982, 602, 9357, 2389, 1905, 4066, 2139, 2221, 616, 5078, 585, 2679, 1804, 8397, 7061, 5904, 269, 634, 3744, 6338, 16290, 23760, 7061, 5470, 15494, 10873, 602, 3713, 543, 2953, 4393, 6959, 563, 1103, 1931, 547, 3914, 741, 2407, 1761, 267, 2221, 779, 7061, 2780, 30384, 723, 547, 2743, 1808, 7355, 281, 3689, 267, 789, 723, 547, 581, 1500, 8273, 267, 799, 1797, 2483, 7712, 476, 1001, 277, 267, 4436, 543, 5053, 3173, 267, 1851, 873, 3744, 689, 519, 2160, 540, 717, 7238, 339, 1154, 523, 267, 723, 1044, 10122, 585, 608, 26979, 1115, 609, 519, 968, 290, 1301, 25333, 892, 2483, 19091, 6675, 602, 1246, 1808, 5528, 1223, 2709, 811, 5730, 7636, 1852, 540, 10991, 3114, 1949, 267, 513, 6602, 602, 10741, 519, 7450, 585, 8030, 547, 1711, 7636, 6191, 609, 1007, 543, 1950, 5615, 563, 12867, 723, 2813, 3114, 7586, 13294, 543, 513, 3114, 14251, 1807, 1210, 513, 9836, 1505, 602, 814, 519, 1761, 547, 7842, 10427, 5547, 2483, 6573, 304, 3744, 3035, 1279, 4859, 2053, 585, 2584, 4577, 7061, 11353, 799, 2736, 519, 2539, 3808, 585, 1463, 7658, 1636, 566, 538, 513, 2518, 7061, 3060, 563, 3519, 1356, 940, 519, 1646, 540, 7061, 8823, 585, 519, 20185, 540, 2518, 7061, 5121, 267, 3744, 540, 519, 17747, 18868, 10406, 3366, 676, 7905, 2483, 12867, 723, 2919, 513, 1216, 27972, 1136, 1523, 1759, 593, 13590, 4229, 602, 1223, 9004, 606, 1843, 781, 12687, 267, 7494, 4227, 922, 8749, 1247, 2483, 1556, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 5400, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 5881, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 1240, 269, 1321, 269, 1001, 278, 1923, 6176, 5303, 454, 1240, 269, 1321, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 1240, 269, 1321, 269, 1001, 278, 1923, 16581, 543, 32645, 3163, 0, 288, 1007, 1353, 2982, 519, 9691, 13155, 631, 5953, 14241, 781, 18107, 514, 1223, 581, 1818, 513, 2097, 3724, 910, 855, 5859, 619, 24633, 621, 781, 1100, 28195, 585, 538, 9146, 563, 6124, 2160, 540, 589, 3089, 1633, 543, 14822, 3557, 2160, 5515, 1397, 2551, 2338, 1223, 581, 607, 1164, 607, 476, 4037, 267, 609, 606, 6059, 476, 8287, 4079, 563, 3719, 13431, 293, 1715, 10215, 22557, 17367, 5981, 8055, 1202, 1235, 519, 2333, 3085, 1405, 1611, 789, 616, 2922, 563, 257, 5445, 1152, 2291, 593, 519, 7178, 5032, 540, 1715, 10215, 269, 1358, 2811, 1318, 593, 519, 6316, 540, 14486, 2437, 646, 3081, 563, 20442, 991, 547, 798, 3388, 649, 666, 547, 4688, 891, 10475, 543, 5863, 2831, 269, 901, 666, 1405, 581, 1031, 607, 606, 28195, 585, 538, 9146, 4799, 16031, 8055, 3081, 519, 23522, 786, 711, 581, 2922, 2394, 10068, 2409, 1689, 563, 257, 14722, 7447, 602, 476, 4817, 2600, 540, 796, 11499, 631, 5953, 14241, 7972, 616, 3361, 676, 1303, 836, 2211, 543, 546, 20621, 538, 1305, 2121, 1154, 610, 911, 342, 331, 10068, 563, 257, 5445, 991, 547, 581, 6870, 2066, 741, 7226, 689, 1305, 5991, 23293, 543, 911, 342, 1782, 267, 543, 519, 535, 29913, 4299, 676, 602, 4027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11993, 269, 4706, 13653, 729, 2907, 538, 835, 2437, 476, 2918, 9484, 269, 15579, 621, 18172, 855, 1810, 1405, 25837, 1932, 2182, 269, 2701, 17065, 7458, 998, 519, 15624, 543, 1336, 513, 10160, 693, 519, 4395, 269, 25927, 725, 540, 25837, 538, 4457, 12465, 269, 9717, 602, 519, 2596, 2628, 14380, 585, 538, 519, 5063, 556, 268, 10864, 582, 7007, 3084, 6876, 723, 1044, 15428, 20733, 538, 3210, 547, 2362, 982, 1496, 2725, 710, 654, 677, 4289, 523, 269, 634, 2262, 844, 1115, 7770, 715, 1221, 518, 1633, 324, 20918, 597, 1633, 6508, 1913, 2141, 17538, 2168, 3196, 269, 0, 295, 320, 655, 617, 658, 1736, 568, 1634, 607, 513, 1505, 585, 8851, 540, 23606, 1175, 899, 1525, 24100, 267, 8485, 5387, 543, 11379, 543, 579, 16699, 267, 607, 1134, 607, 1863, 1216, 538, 519, 1973, 2899, 8459, 17528, 269, 1403, 519, 3461, 814, 17669, 23659, 17313, 519, 23606, 616, 6569, 676, 1210, 5841, 1797, 540, 513, 3937, 1572, 688, 655, 617, 658, 1736, 269, 634, 5650, 540, 31533, 568, 3810, 32462, 543, 942, 10438, 585, 519, 2550, 269, 634, 2550, 723, 547, 3643, 16758, 4749, 835, 1880, 547, 476, 275, 2053, 829, 3018, 4470, 593, 519, 2783, 540, 741, 1360, 1378, 14401, 269, 634, 1973, 689, 519, 1367, 568, 3144, 1055, 24293, 16050, 1287, 4547, 547, 519, 3866, 903, 518, 585, 17527, 269, 634, 17808, 1973, 568, 9090, 2366, 1394, 883, 519, 1560, 998, 3185, 7394, 16050, 269, 634, 3866, 903, 532, 5650, 814, 922, 4220, 543, 7687, 971, 607, 9854, 267, 16562, 8598, 267, 5250, 540, 2377, 565, 639, 543, 1981, 540, 6285, 269, 1452, 17498, 1938, 666, 581, 1205, 936, 676, 1210, 513, 28707, 8459, 3866, 903, 518, 630, 310, 28474, 264, 519, 20538, 1826, 540, 3866, 903, 518, 3937, 269, 901, 666, 581, 1810, 2740, 607, 513, 12966, 16304, 1472, 519, 3461, 779, 4571, 7611, 269, 634, 28707, 8459, 3866, 903, 518, 3568, 6802, 1062, 602, 14405, 1973, 8043, 538, 543, 856, 540, 519, 1560, 267, 513, 3866, 903, 532, 3926, 267, 2837, 6895, 267, 9063, 897, 665, 541, 267, 2095, 3190, 325, 6686, 327, 2401, 267, 6007, 543, 513, 910, 3966, 601, 585, 3063, 1379, 3761, 269, 634, 28707, 5841, 8459, 568, 6766, 1210, 3167, 9075, 543, 910, 3966, 601, 585, 1379, 5108, 269, 634, 28707, 8459, 3866, 903, 518, 666, 581, 12816, 11179, 602, 949, 1685, 519, 1599, 540, 2067, 17669, 269, 634, 2557, 540, 19288, 568, 9090, 476, 1321, 6447, 26553, 538, 513, 15222, 748, 1505, 269, 634, 5413, 540, 519, 6069, 4480, 568, 3500, 543, 6024, 5650, 799, 949, 2057, 9854, 543, 824, 8374, 269, 634, 3461, 1100, 991, 540, 27830, 741, 1880, 3407, 1974, 789, 666, 1847, 1472, 1256, 998, 519, 3866, 903, 532, 2126, 269, 16353, 1982, 568, 3812, 547, 6895, 782, 7463, 2564, 6724, 538, 519, 3461, 14139, 543, 5514, 476, 13023, 821, 813, 547, 2911, 519, 10629, 693, 11397, 3845, 563, 19328, 2882, 513, 2551, 540, 1175, 835, 269, 476, 273, 5479, 9489, 543, 814, 7152, 513, 1434, 13075, 6454, 538, 519, 2487, 1296, 269, 634, 14051, 543, 20012, 723, 20427, 12012, 519, 2732, 1544, 543, 1259, 540, 2713, 6208, 269, 901, 814, 1831, 519, 2707, 540, 4028, 838, 4669, 538, 519, 6197, 5829, 3676, 1175, 899, 3987, 267, 4099, 3676, 267, 5409, 2023, 773, 543, 3978, 8459, 3676, 630, 290, 28474, 1040, 634, 595, 28474, 814, 2799, 782, 936, 519, 1158, 267, 609, 519, 2518, 5993, 3356, 1297, 540, 11536, 31686, 630, 17484, 8609, 11412, 531, 8376, 264, 2550, 568, 2356, 476, 278, 10065, 634, 595, 28474, 666, 581, 10924, 1373, 513, 1713, 2530, 540, 1272, 2014, 538, 1082, 540, 519, 4182, 267, 2523, 519, 1395, 564, 3320, 18807, 2477, 1813, 547, 1804, 2068, 11411, 267, 7199, 2126, 543, 3668, 540, 4656, 585, 21084, 540, 2068, 269, 6480, 23660, 540, 11536, 31686, 11411, 538, 3127, 568, 827, 476, 272, 267, 476, 20981, 267, 476, 1822, 547, 513, 7008, 540, 267, 476, 1220, 267, 476, 4335, 1169, 1032, 1851, 519, 2551, 540, 476, 272, 269, 476, 273, 5479, 269, 4934, 540, 799, 1152, 476, 1015, 260, 610, 7864, 2550, 1205, 17669, 10682, 3797, 4586, 30144, 14401, 6882, 519, 1973, 23606, 899, 4430, 5347, 267, 6886, 543, 22837, 269, 1879, 519, 8459, 1281, 711, 1599, 5265, 267, 5739, 13802, 1628, 909, 538, 519, 1973, 602, 7472, 519, 1560, 547, 2226, 811, 5277, 543, 711, 1118, 2614, 2699, 1973, 2281, 269, 901, 1131, 581, 1318, 2476, 5701, 676, 13868, 519, 4674, 540, 519, 8959, 8459, 998, 1418, 24328, 610, 688, 655, 617, 658, 1736, 269, 12794, 655, 617, 658, 1736, 568, 513, 5650, 540, 19003, 1973, 676, 19788, 519, 1973, 856, 540, 519, 1560, 543, 2196, 621, 998, 513, 2189, 6882, 602, 18788, 519, 22837, 267, 7777, 12074, 543, 11935, 269, 3973, 519, 2973, 1973, 568, 2356, 8120, 1394, 585, 519, 1560, 269, 634, 688, 655, 617, 658, 1736, 2337, 596, 547, 1852, 519, 1973, 2604, 543, 2226, 909, 513, 1697, 3114, 10103, 540, 519, 1973, 676, 17527, 519, 24379, 6886, 543, 6070, 4947, 689, 621, 269, 2290, 540, 519, 2101, 19363, 1131, 581, 602, 519, 3461, 16565, 713, 2126, 1058, 15666, 547, 1360, 7453, 2732, 543, 8430, 269, 634, 5650, 568, 2944, 1079, 547, 476, 275, 343, 829, 3018, 609, 2463, 547, 519, 10335, 543, 1142, 8400, 679, 706, 637, 909, 547, 476, 274, 547, 476, 276, 3108, 269, 4634, 609, 519, 1655, 4674, 540, 14577, 547, 519, 2360, 540, 17669, 5821, 267, 24412, 1419, 7237, 519, 7411, 538, 960, 543, 2123, 6228, 4586, 2791, 786, 723, 547, 581, 7923, 547, 519, 3684, 1282, 519, 2898, 1505, 269, 634, 3461, 9363, 512, 9220, 1042, 585, 519, 3684, 5497, 585, 476, 274, 547, 476, 275, 2053, 513, 3018, 547, 1205, 476, 274, 547, 476, 276, 3108, 1142, 1974, 786, 9090, 2014, 519, 3461, 6108, 1034, 540, 519, 942, 3330, 519, 6413, 602, 5540, 519, 3044, 540, 6197, 543, 711, 2111, 547, 3136, 609, 741, 6197, 269, 1677, 14710, 713, 17498, 728, 267, 519, 2856, 540, 8888, 513, 28707, 14475, 8459, 729, 11751, 909, 676, 30709, 742, 630, 3192, 271, 779, 264, 547, 5818, 519, 2298, 540, 3461, 779, 1272, 15603, 873, 1847, 1472, 16175, 1256, 1247, 519, 5650, 568, 3586, 1547, 634, 28707, 5841, 17669, 568, 513, 4130, 31533, 3937, 602, 814, 1044, 2966, 538, 971, 519, 1655, 1259, 602, 621, 666, 581, 12816, 1472, 519, 22765, 1467, 899, 513, 6293, 12966, 1547, 1411, 786, 1265, 1114, 2010, 540, 28707, 31533, 3457, 602, 616, 1256, 1631, 896, 1353, 5933, 269, 901, 1587, 666, 581, 12816, 543, 1031, 676, 519, 3461, 585, 909, 547, 476, 2190, 3108, 513, 1554, 585, 513, 16795, 543, 9543, 31533, 5650, 267, 2147, 547, 519, 2067, 17669, 269, 901, 568, 519, 1655, 1259, 547, 708, 10028, 519, 6211, 17669, 3252, 543, 849, 1317, 540, 922, 3500, 543, 6024, 31533, 267, 519, 1973, 2604, 568, 6740, 896, 1852, 543, 7413, 519, 991, 585, 19552, 12622, 619, 543, 16562, 8598, 6527, 563, 763, 28707, 14475, 8459, 2813, 865, 2484, 5170, 547, 581, 896, 678, 543, 546, 1184, 269, 634, 6574, 2721, 3724, 568, 519, 1379, 3761, 267, 799, 786, 4422, 856, 10483, 676, 519, 31533, 269, 4475, 547, 7753, 602, 267, 649, 723, 3769, 513, 3859, 8470, 267, 799, 9276, 6411, 607, 513, 3167, 1379, 19307, 799, 2636, 519, 1184, 547, 8399, 1256, 1498, 519, 6007, 8255, 856, 540, 3167, 1379, 269, 1323, 813, 568, 849, 3812, 547, 6895, 519, 4808, 899, 2604, 267, 2095, 543, 1022, 3017, 538, 519, 5943, 540, 519, 5347, 269, 1452, 4632, 616, 16487, 1210, 29402, 547, 519, 15409, 813, 799, 2356, 15920, 891, 5686, 540, 2418, 547, 519, 4387, 779, 1591, 7483, 3842, 606, 590, 5960, 269, 901, 786, 948, 547, 7494, 538, 5464, 519, 3461, 676, 513, 4387, 693, 513, 3845, 269, 634, 3859, 8470, 3091, 519, 1379, 547, 7500, 519, 3926, 952, 519, 6007, 8255, 856, 267, 8754, 519, 31533, 1281, 711, 3247, 538, 519, 1647, 563, 763, 28707, 5841, 8459, 13147, 923, 519, 2067, 8459, 1599, 609, 3500, 543, 6024, 19003, 1184, 269, 634, 2898, 3926, 568, 2356, 7923, 547, 513, 12966, 538, 1931, 602, 519, 3461, 666, 1847, 4922, 15029, 519, 5650, 269, 634, 3926, 2882, 513, 2027, 19288, 1062, 602, 568, 1031, 547, 6882, 519, 1973, 267, 513, 6802, 267, 2095, 9300, 267, 2604, 3190, 325, 6686, 327, 2401, 267, 606, 966, 7728, 5308, 292, 2752, 9300, 267, 513, 10896, 4159, 267, 20794, 267, 3859, 8470, 267, 943, 1377, 11281, 267, 6007, 3640, 267, 29402, 543, 8121, 291, 308, 2562, 302, 269, 8121, 291, 308, 2562, 302, 281, 8121, 291, 308, 2562, 302, 568, 2965, 513, 2582, 3349, 29668, 518, 602, 568, 1031, 547, 1118, 519, 11418, 538, 513, 3102, 3785, 799, 568, 811, 3015, 563, 26773, 2264, 15926, 1235, 540, 707, 2241, 1930, 2707, 8800, 3349, 602, 568, 2813, 1472, 476, 279, 19229, 2311, 17745, 20724, 305, 610, 476, 3953, 19229, 2311, 17745, 8121, 300, 563, 25413, 2264, 268, 5161, 540, 513, 3044, 5752, 16166, 29085, 543, 513, 31321, 4452, 602, 568, 1031, 547, 14892, 519, 29668, 518, 700, 7374, 20591, 303, 6369, 312, 281, 634, 700, 7374, 4159, 2882, 513, 5277, 986, 26223, 23145, 1111, 1570, 5116, 1063, 1079, 12001, 979, 1076, 339, 9212, 269, 700, 7374, 10525, 616, 2356, 6094, 538, 8006, 267, 1769, 543, 15409, 543, 1447, 3167, 1379, 10438, 18867, 666, 581, 1031, 538, 1970, 3167, 1379, 3785, 543, 568, 2196, 547, 1205, 519, 1297, 540, 1296, 609, 3648, 1447, 1379, 4616, 269, 898, 568, 2356, 1336, 538, 29167, 267, 26732, 543, 824, 4152, 7405, 563, 3918, 6369, 312, 281, 589, 20794, 666, 581, 606, 30788, 13234, 23396, 602, 2356, 3096, 606, 30402, 24599, 547, 676, 5841, 1797, 6467, 519, 882, 904, 269, 11048, 824, 2035, 971, 607, 4396, 15581, 882, 904, 616, 849, 1031, 269, 4039, 904, 616, 1031, 538, 519, 1379, 5547, 547, 13104, 873, 4947, 689, 5230, 13907, 543, 20924, 269, 769, 4207, 5122, 20347, 3515, 267, 513, 3059, 3926, 1572, 2048, 23181, 633, 882, 904, 685, 2932, 891, 2934, 563, 303, 8582, 2207, 29706, 6573, 281, 589, 2890, 3282, 270, 4248, 10009, 6802, 568, 1031, 547, 3761, 519, 5277, 547, 581, 3866, 903, 539, 538, 543, 856, 689, 519, 3684, 269, 898, 1522, 581, 11179, 4294, 267, 16641, 338, 8101, 5714, 5210, 543, 2934, 1970, 6846, 1377, 563, 306, 5357, 2752, 31266, 2207, 281, 589, 3859, 1379, 568, 1500, 540, 1896, 3859, 1591, 602, 568, 2111, 540, 4657, 7943, 538, 547, 5201, 269, 9891, 1379, 814, 513, 513, 3102, 14769, 540, 3096, 1519, 922, 13345, 538, 29167, 267, 26732, 267, 19814, 1769, 902, 547, 1379, 532, 3889, 543, 8666, 2019, 3279, 545, 14742, 269, 634, 2281, 616, 9112, 609, 513, 19202, 1570, 267, 4749, 30736, 568, 1031, 269, 1703, 616, 476, 273, 2000, 16558, 540, 13339, 538, 513, 3859, 1591, 602, 568, 6157, 562, 15178, 543, 533, 15178, 269, 634, 5201, 568, 3812, 676, 519, 24106, 10024, 519, 1591, 267, 519, 13339, 25309, 513, 851, 540, 519, 24106, 269, 634, 1769, 779, 1648, 5679, 4169, 543, 27894, 1055, 519, 9211, 856, 540, 519, 8444, 267, 3976, 2870, 5201, 607, 513, 1267, 540, 2095, 540, 9211, 1851, 1079, 2157, 269, 634, 5122, 1648, 666, 4734, 519, 10408, 676, 5374, 3346, 12904, 563, 300, 10976, 30121, 590, 27602, 3036, 281, 634, 2095, 3190, 325, 6686, 327, 2401, 814, 513, 6263, 15914, 10178, 1958, 1078, 1369, 513, 12068, 602, 29226, 950, 513, 5714, 4422, 998, 519, 9300, 269, 634, 3432, 540, 10047, 568, 6027, 267, 799, 568, 2047, 8167, 622, 547, 519, 2095, 540, 519, 5714, 269, 634, 1973, 10009, 568, 6740, 3500, 543, 11931, 865, 602, 621, 7512, 3811, 19288, 1505, 563, 14888, 3201, 22076, 2207, 8863, 4456, 21612, 281, 634, 3866, 903, 518, 8066, 12068, 568, 519, 6712, 1141, 519, 1483, 19288, 1184, 3217, 1747, 269, 634, 12068, 3568, 513, 22753, 540, 4552, 899, 6094, 8900, 26939, 269, 10552, 8928, 3330, 891, 26939, 538, 835, 4287, 543, 519, 3866, 903, 622, 5714, 8928, 3544, 540, 891, 2010, 540, 26939, 3330, 519, 12068, 269, 901, 2186, 540, 6587, 6908, 4287, 7132, 519, 5834, 13506, 1063, 519, 1973, 543, 3866, 903, 622, 5714, 14998, 519, 22729, 1184, 269, 634, 17860, 26939, 957, 607, 513, 10859, 12656, 1889, 762, 9245, 543, 519, 6886, 267, 579, 16699, 267, 19552, 689, 18072, 7575, 538, 519, 3866, 903, 622, 5347, 1813, 547, 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 ]
[ 20558, 547, 18666, 538, 519, 1032, 476, 1960, 277, 815, 476, 271, 269, 2913, 519, 18666, 538, 476, 1960, 277, 815, 12652, 269, 3973, 269, 3767, 6993, 269, 476, 17168, 5186, 637, 269, 12652, 269, 476, 1960, 277, 269, 769, 875, 1082, 540, 519, 2016, 1296, 941, 519, 18666, 811, 982, 519, 20558, 7790, 589, 269, 667, 269, 476, 272, 476, 274, 645, 269, 595, 269, 5952, 815, 476, 17168, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 276, 269, 972, 616, 2185, 971, 1296, 269, 667, 269, 476, 1960, 278, 543, 476, 1220, 271, 269, 7089, 540, 30863, 13583, 3293, 676, 5565, 3549, 31952, 519, 13012, 630, 10831, 538, 23897, 1343, 264, 1547, 476, 18231, 5186, 637, 645, 269, 713, 5223, 568, 1447, 982, 476, 272, 538, 1296, 476, 1960, 276, 269, 5952, 269, 4935, 780, 31275, 876, 269, 476, 12553, 1822, 269, 476, 1220, 271, 269, 1548, 568, 519, 3017, 1063, 519, 2698, 24299, 540, 519, 1079, 14992, 538, 519, 2016, 1296, 7790, 589, 269, 476, 278, 3199, 876, 269, 1548, 568, 519, 3017, 1063, 519, 1297, 540, 6472, 14475, 676, 7577, 962, 538, 476, 1220, 271, 543, 476, 1220, 272, 7790, 589, 269, 476, 5002, 876, 476, 18605, 876, 645, 269, 595, 269, 476, 1960, 280, 269, 476, 6344, 1822, 543, 476, 14689, 1822, 543, 1346, 540, 7577, 962, 616, 476, 16928, 1822, 269, 476, 6344, 1822, 269, 667, 269, 476, 1960, 279, 269, 272, 269, 476, 13136, 876, 476, 18231, 876, 8382, 1299, 19247, 8382, 281, 26840, 595, 19247, 281, 3245, 519, 1899, 3766, 1429, 621, 568, 2312, 602, 519, 24299, 540, 7577, 2473, 538, 519, 1296, 476, 1960, 278, 269, 595, 269, 1911, 1822, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 273, 269, 476, 1220, 272, 543, 476, 1220, 273, 616, 476, 15686, 1822, 269, 476, 15221, 1822, 269, 476, 13040, 1822, 543, 1547, 667, 269, 476, 4335, 876, 476, 20065, 876, 645, 269, 476, 22213, 876, 476, 13975, 876, 8382, 1299, 19247, 8382, 281, 26840, 667, 19247, 281, 22490, 3017, 815, 630, 12553, 1822, 1547, 13040, 1822, 264, 815, 476, 13975, 876, 780, 290, 269, 16825, 1822, 6606, 269, 476, 15686, 18357, 476, 12208, 278, 4281, 645, 269, 11192, 2504, 540, 7577, 2473, 689, 476, 1960, 278, 547, 476, 1220, 273, 815, 476, 15686, 1822, 1341, 476, 31275, 876, 1341, 476, 15221, 1822, 1341, 476, 278, 3199, 876, 1341, 476, 6344, 1822, 1341, 476, 14689, 1822, 815, 476, 278, 1626, 1822, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 274, 269, 667, 269, 543, 2698, 2504, 540, 7577, 962, 689, 476, 1960, 278, 547, 476, 1220, 273, 815, 476, 16928, 1822, 1341, 476, 6344, 1822, 1341, 476, 1911, 1822, 1341, 476, 12553, 1822, 1341, 476, 13040, 1822, 1341, 476, 16825, 1822, 815, 476, 278, 5655, 1822, 269, 16338, 815, 630, 278, 5655, 1822, 1547, 476, 1960, 279, 476, 1220, 271, 8382, 1299, 19247, 1547, 476, 13647, 26116, 476, 9340, 23417, 8382, 1299, 19247, 8382, 281, 26840, 589, 19247, 281, 19105, 1297, 540, 6472, 14475, 676, 7577, 2473, 815, 476, 272, 476, 277, 1535, 630, 15686, 1822, 1341, 476, 31275, 876, 1341, 476, 15221, 1822, 1341, 476, 278, 3199, 876, 1341, 476, 6344, 1822, 1341, 476, 14689, 1822, 264, 815, 476, 15686, 18357, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 275, 269, 519, 3017, 1063, 519, 24299, 540, 14992, 2473, 543, 962, 729, 519, 5021, 1851, 519, 2016, 1296, 7790, 589, 269, 278, 1626, 1822, 264, 815, 476, 18605, 876, 269, 476, 1960, 278, 476, 1960, 280, 645, 269, 1548, 568, 519, 3328, 2338, 540, 6472, 14475, 676, 7577, 2473, 936, 519, 2016, 1974, 7790, 630, 1037, 539, 1055, 547, 14282, 8870, 264, 589, 269, 595, 269, 667, 269, 769, 799, 540, 519, 1739, 1296, 780, 31275, 876, 264, 815, 476, 13975, 876, 269, 22682, 269, 5021, 3017, 729, 538, 476, 1220, 271, 269, 634, 1739, 1899, 3113, 3947, 519, 2600, 7443, 12236, 676, 1079, 14992, 2473, 543, 962, 1282, 519, 1974, 476, 1960, 277, 1547, 595, 269, 634, 2504, 540, 7577, 962, 538, 476, 1220, 271, 729, 5111, 1018, 2600, 540, 519, 2504, 540, 7577, 2473, 538, 519, 1482, 1032, 7790, 589, 269, 1911, 1822, 264, 815, 476, 25148, 876, 6993, 985, 4546, 281, 26840, 667, 19247, 281, 634, 3017, 1063, 519, 24299, 540, 14992, 2473, 543, 962, 538, 1585, 1296, 616, 281, 1280, 476, 1960, 278, 630, 16928, 1822, 1547, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 276, 269, 1280, 476, 1960, 279, 630, 6344, 1822, 1547, 1280, 476, 1220, 271, 630, 12553, 1822, 1547, 278, 3199, 876, 264, 815, 476, 4335, 876, 269, 1280, 476, 1220, 273, 630, 14689, 1822, 1547, 476, 13932, 476, 9032, 8382, 1299, 19247, 8382, 281, 26840, 645, 19247, 281, 476, 12553, 1822, 476, 278, 3199, 876, 22490, 6871, 815, 1535, 476, 1911, 4939, 476, 13932, 10065, 476, 15876, 476, 15171, 645, 269, 1280, 476, 1960, 280, 630, 15221, 1822, 1547, 20587, 720, 7443, 12236, 676, 5565, 14992, 2473, 543, 962, 936, 519, 9717, 13012, 4939, 3682, 7257, 815, 20677, 1547, 13040, 1822, 264, 815, 476, 9873, 876, 269, 1280, 476, 1220, 272, 630, 6344, 1822, 1547, 667, 269, 1220, 272, 269, 16825, 1822, 264, 815, 476, 8099, 876, 269, 2750, 12323, 8132, 5890, 754, 8132, 1535, 476, 1911, 1547, 15686, 1822, 264, 815, 476, 1220, 876, 780, 10190, 269, 1656, 1577, 519, 24723, 538, 476, 1220, 271, 540, 14992, 2473, 543, 962, 581, 661, 272, 543, 661, 273, 6606, 269, 630, 328, 264, 1280, 7577, 962, 649, 723, 281, 476, 275, 343, 1547, 292, 272, 661, 272, 476, 4792, 476, 1911, 476, 274, 343, 661, 272, 476, 1911, 476, 13679, 476, 4792, 815, 1535, 476, 1911, 815, 910, 272, 661, 272, 815, 476, 274, 343, 1535, 1547, 585, 7577, 2473, 649, 723, 281, 476, 274, 343, 1547, 292, 273, 661, 273, 476, 2004, 476, 1911, 476, 275, 343, 661, 273, 476, 1911, 476, 5611, 476, 2004, 815, 1535, 476, 1911, 815, 910, 272, 661, 273, 815, 476, 275, 343, 1535, 3267, 667, 1862, 476, 275, 1535, 476, 13679, 476, 2420, 661, 272, 815, 661, 273, 476, 274, 343, 1535, 476, 275, 343, 1535, 1547, 595, 269, 634, 26038, 540, 1079, 14992, 2473, 543, 962, 538, 476, 1220, 271, 941, 538, 519, 5223, 540, 476, 274, 281, 275, 6606, 269, 630, 4512, 264, 3245, 630, 328, 264, 543, 630, 4512, 1040, 1548, 729, 519, 9757, 5223, 540, 741, 24723, 538, 476, 1220, 271, 7790, 589, 269, 272, 907, 476, 1691, 281, 866, 476, 2767, 281, 3374, 8382, 1299, 19247, 8382, 281, 26840, 595, 19247, 281, 2913, 519, 26038, 538, 476, 1220, 271, 540, 14992, 2473, 543, 962, 581, 476, 274, 343, 543, 476, 275, 343, 6606, 907, 476, 278, 281, 2420, 476, 1428, 281, 2420, 645, 269, 649, 1205, 281, 476, 1911, 476, 13679, 476, 1911, 815, 476, 274, 1535, 476, 5611, 815, 476, 1428, 630, 26473, 1600, 5223, 6393, 2252, 519, 24723, 540, 7577, 2473, 543, 962, 538, 476, 1960, 277, 941, 3160, 543, 519, 2698, 4747, 540, 519, 1079, 14992, 538, 476, 1960, 277, 729, 12652, 269, 476, 9083, 5186, 637, 8382, 1299, 19247, 8382, 281, 26840, 667, 19247, 281, 2913, 519, 24723, 540, 1142, 3549, 2473, 543, 962, 538, 476, 1960, 277, 581, 12652, 269, 667, 269, 476, 13301, 5186, 637, 12652, 269, 3973, 269, 1656, 1577, 519, 4747, 540, 7577, 2473, 538, 476, 1960, 277, 581, 12652, 269, 12652, 269, 2750, 12323, 8132, 264, 589, 269, 667, 269, 12652, 269, 12652, 269, 476, 6344, 5186, 637, 645, 269, 345, 264, 5186, 637, 269, 1924, 602, 519, 4747, 540, 7577, 962, 538, 476, 1960, 277, 815, 12652, 269, 1547, 476, 14378, 5186, 637, 12652, 269, 1990, 5186, 637, 269, 476, 31079, 5186, 637, 269, 1535, 5186, 637, 269, 20677, 540, 7577, 962, 538, 476, 1960, 278, 815, 12652, 269, 630, 31079, 1547, 476, 22550, 5186, 637, 8382, 1299, 19247, 8382, 281, 26840, 645, 19247, 281, 30825, 2600, 540, 7577, 962, 538, 476, 1960, 278, 815, 476, 3374, 269, 476, 29574, 5186, 637, 269, 476, 24374, 5186, 637, 12652, 269, 1403, 519, 18820, 540, 7577, 962, 538, 476, 1960, 278, 729, 12652, 269, 13136, 476, 13136, 1535, 476, 1911, 1535, 815, 476, 29574, 269, 476, 27543, 5186, 637, 645, 269, 2913, 519, 4747, 540, 7577, 962, 538, 476, 1960, 278, 581, 12652, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 274, 269, 476, 29574, 5186, 637, 12652, 269, 12652, 269, 1535, 5186, 637, 269, 595, 269, 595, 269, 476, 3374, 815, 1535, 1547, 1018, 729, 519, 2698, 7443, 540, 519, 1079, 14992, 1927, 538, 476, 1960, 277, 7790, 630, 3682, 7257, 815, 20677, 1547, 1018, 729, 922, 4747, 538, 476, 1960, 278, 7790, 589, 269, 476, 13136, 5186, 637, 269, 5611, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 273, 780, 4649, 815, 1535, 476, 1911, 1535, 815, 476, 20542, 1862, 10190, 269, 476, 1220, 5186, 637, 543, 519, 4747, 540, 2754, 2473, 538, 476, 1960, 279, 729, 519, 1482, 607, 922, 18820, 538, 476, 1220, 272, 269, 585, 7577, 2473, 649, 723, 281, 476, 2412, 815, 1990, 14870, 1535, 1535, 476, 1911, 476, 2412, 476, 1911, 815, 1990, 1535, 910, 272, 1535, 284, 476, 1911, 345, 476, 9610, 1547, 345, 264, 1535, 910, 272, 1535, 284, 630, 31079, 1547, 476, 28178, 5186, 637, 645, 269, 649, 1205, 2433, 1535, 815, 476, 6344, 269, 13301, 264, 5186, 637, 815, 12652, 269, 1535, 1547, 345, 264, 1535, 476, 1911, 476, 13970, 1547, 12652, 269, 476, 9083, 5186, 637, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 275, 269, 595, 269, 345, 264, 1535, 1535, 476, 1911, 476, 3393, 476, 1911, 815, 630, 31079, 1547, 345, 264, 1535, 476, 1911, 476, 13970, 1990, 815, 476, 12739, 907, 11192, 4747, 540, 14992, 2473, 543, 962, 538, 476, 1960, 277, 815, 12652, 269, 630, 328, 264, 4746, 269, 11192, 7443, 815, 12652, 269, 1220, 1547, 667, 269, 15240, 23082, 1990, 815, 476, 12739, 538, 630, 328, 1040, 476, 4343, 276, 5186, 637, 12652, 269, 476, 13301, 5186, 637, 269, 634, 4747, 540, 7577, 2473, 538, 476, 1220, 272, 729, 7790, 589, 269, 634, 18820, 540, 7577, 2473, 538, 519, 1032, 476, 1960, 279, 729, 12652, 269, 630, 4512, 264, 3245, 630, 328, 264, 543, 630, 4512, 1040, 12652, 269, 476, 27768, 5186, 637, 8382, 1299, 19247, 8382, 281, 26840, 589, 19247, 281, 2913, 519, 4747, 540, 7577, 2473, 538, 476, 1960, 279, 581, 12652, 269, 3973, 907, 630, 31079, 1547, 1535, 5186, 637, 907, 11192, 18820, 540, 14992, 2473, 543, 962, 538, 476, 1960, 277, 815, 476, 273, 343, 815, 12652, 269, 476, 20542, 5186, 637, 907, 476, 1220, 5890, 754, 8132, 540, 7577, 2473, 538, 476, 1220, 272, 815, 20677, 540, 7577, 2473, 538, 476, 1960, 279, 815, 12652, 269, 649, 1205, 281, 476, 1911, 345, 476, 9610, 815, 630, 31079, 1547, 585, 7577, 962, 649, 723, 281, 476, 3393, 815, 630, 31079, 1547, 476, 31079, 5186, 637, 269, 476, 275, 4792, 5186, 637, 12652, 780, 4517, 1577, 519, 24723, 540, 14992, 2473, 543, 962, 538, 476, 1960, 280, 581, 661, 272, 543, 661, 273, 6606, 269, 7348, 8382, 3718, 10628, 7797, 9181, 538, 17072, 476, 276, 269, 20542, 476, 20542, 1535, 476, 1911, 1990, 815, 476, 275, 4792, 907, 667, 269, 476, 275, 4792, 5186, 637, 269, 634, 1739, 1899, 3113, 3947, 519, 6871, 540, 519, 1297, 540, 10457, 945, 11727, 606, 6514, 856, 540, 519, 2698, 1297, 540, 10457, 945, 7902, 585, 519, 6514, 936, 513, 1974, 540, 5722, 1296, 689, 476, 1960, 275, 547, 476, 1220, 271, 269, 649, 1205, 281, 476, 5611, 476, 8182, 661, 272, 815, 661, 273, 476, 1911, 476, 1911, 661, 272, 661, 273, 815, 476, 8182, 476, 5611, 815, 476, 1626, 476, 1428, 630, 26473, 1600, 5223, 1040, 3973, 269, 20587, 720, 540, 15443, 573, 919, 19120, 1881, 547, 2561, 18193, 538, 606, 22410, 3683, 519, 13012, 1547, 1535, 1862, 1403, 519, 26038, 540, 1079, 1290, 3253, 625, 941, 3160, 538, 476, 1960, 280, 907, 476, 276, 281, 277, 476, 1626, 281, 1428, 8382, 1299, 19247, 8382, 281, 26840, 667, 19247, 281, 2913, 519, 26038, 540, 1142, 540, 519, 1079, 14992, 2473, 543, 962, 538, 476, 1960, 280, 581, 12652, 9950, 272, 661, 272, 1535, 476, 1911, 476, 2004, 476, 1911, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 2622, 2782, 4083, 268, 5028, 8484, 15298, 729, 1336, 593, 519, 5836, 6989, 2282, 4993, 781, 10787, 718, 517, 11866, 543, 621, 781, 3168, 1390, 269, 6736, 1373, 14015, 2094, 476, 4198, 272, 267, 519, 2475, 306, 14412, 630, 20302, 299, 268, 2420, 264, 568, 834, 600, 5074, 569, 16856, 2437, 1767, 8387, 689, 519, 2817, 7909, 545, 543, 27321, 10029, 630, 17472, 8150, 1916, 17472, 8150, 267, 2324, 609, 4357, 2872, 4891, 543, 519, 772, 2529, 269, 13108, 267, 814, 9672, 519, 4087, 543, 2783, 540, 519, 2475, 306, 14412, 630, 20302, 299, 268, 2420, 1070, 519, 1291, 6928, 540, 922, 1362, 540, 1769, 8484, 19057, 602, 941, 2565, 1282, 519, 1977, 17189, 18086, 538, 519, 7414, 1282, 2622, 2782, 4083, 563, 305, 20535, 538, 476, 273, 267, 7785, 3952, 540, 1216, 1055, 4993, 781, 10787, 718, 517, 11866, 267, 519, 15298, 568, 834, 600, 5074, 569, 16856, 2437, 1767, 30857, 3744, 267, 609, 922, 26083, 543, 8184, 16064, 5693, 7298, 267, 609, 1018, 5526, 547, 581, 513, 7077, 538, 519, 15298, 781, 13793, 541, 15922, 563, 8794, 606, 476, 1240, 269, 276, 20356, 17489, 14628, 14015, 6174, 3957, 661, 11155, 681, 9734, 267, 519, 2319, 2813, 513, 476, 274, 5937, 5067, 541, 4786, 540, 519, 6928, 267, 799, 729, 9361, 20005, 593, 519, 5836, 6989, 269, 2755, 972, 616, 513, 1906, 834, 326, 12686, 9475, 257, 538, 922, 13793, 541, 536, 904, 267, 1454, 540, 519, 2475, 306, 14412, 630, 20302, 299, 268, 2420, 264, 568, 16856, 269, 12824, 7447, 972, 616, 1472, 476, 4968, 20739, 4242, 538, 519, 4478, 1858, 563, 5475, 476, 5038, 1296, 593, 519, 13837, 331, 3233, 267, 2475, 306, 14412, 630, 20302, 299, 268, 2420, 264, 18795, 593, 519, 5377, 607, 952, 4712, 547, 10131, 922, 14742, 454, 22832, 5548, 326, 5964, 267, 8783, 10196, 593, 519, 14412, 5692, 543, 17535, 6561, 8689, 585, 30857, 781, 8433, 540, 2817, 13149, 5842, 9822, 2456, 0, 2421, 13149, 645, 719, 710, 543, 26548, 731, 320, 28529, 518, 454, 17471, 8337, 5540, 3025, 267, 855, 1281, 621, 2731, 1860, 3025, 538, 519, 1482, 1259, 286, 8693, 1689, 543, 922, 5222, 723, 513, 21630, 1198, 593, 3425, 543, 741, 10450, 281, 4057, 2477, 543, 2950, 609, 4057, 11615, 282, 4617, 2797, 3889, 543, 4028, 15295, 2242, 2907, 16094, 7985, 543, 519, 6560, 1797, 267, 513, 6560, 585, 6668, 269, 4014, 2916, 1689, 568, 1373, 5941, 607, 513, 2518, 3390, 1369, 519, 26750, 540, 3486, 2916, 1689, 6214, 267, 538, 4641, 267, 2518, 16526, 1869, 3337, 519, 6498, 540, 513, 1455, 7226, 630, 289, 14725, 333, 1263, 337, 7564, 828, 543, 10791, 345, 476, 1220, 279, 1040, 968, 20458, 5126, 12662, 2916, 1689, 543, 2916, 2962, 538, 519, 6626, 1514, 543, 2825, 2796, 269, 901, 2882, 3344, 971, 607, 29076, 9698, 267, 4008, 267, 1480, 2924, 543, 519, 2924, 540, 6805, 9082, 269, 8693, 5126, 849, 17767, 519, 9021, 540, 519, 6820, 3345, 1813, 547, 741, 8978, 5434, 2108, 630, 4596, 312, 476, 1001, 278, 1040, 20616, 1143, 568, 968, 1492, 2259, 540, 835, 4182, 1210, 922, 2797, 7060, 936, 1776, 4182, 676, 30939, 543, 29227, 519, 824, 4182, 779, 11182, 892, 630, 12626, 10228, 9218, 476, 1001, 278, 1040, 18786, 538, 519, 476, 1704, 628, 2540, 609, 519, 6602, 540, 968, 2908, 10600, 892, 543, 519, 11175, 19525, 267, 519, 7087, 24447, 2950, 941, 10032, 543, 741, 3338, 23699, 585, 519, 4324, 540, 519, 968, 19009, 9082, 6100, 4438, 519, 4853, 4838, 538, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 519, 6820, 3345, 2968, 5763, 1512, 543, 6793, 998, 22713, 267, 1247, 519, 824, 2477, 543, 12790, 2950, 2968, 21260, 543, 8959, 547, 10929, 519, 1184, 540, 4853, 1646, 269, 769, 4334, 267, 519, 3935, 2213, 2477, 941, 23699, 676, 741, 2067, 2200, 543, 8513, 269, 634, 2530, 540, 2244, 267, 28653, 22257, 20816, 543, 3668, 540, 2463, 585, 2245, 543, 2528, 5581, 19525, 269, 634, 1382, 1788, 12116, 519, 2078, 1063, 1604, 543, 19525, 543, 13187, 602, 4207, 19525, 666, 1869, 581, 1336, 538, 2221, 779, 6370, 585, 2916, 5126, 269, 1635, 10442, 519, 2919, 1158, 779, 8456, 2509, 3435, 585, 8396, 1154, 2518, 8337, 2152, 267, 649, 8044, 602, 519, 6820, 3162, 543, 519, 7087, 24447, 616, 811, 7925, 543, 25409, 811, 4299, 676, 519, 5222, 540, 2916, 1689, 543, 875, 891, 616, 1806, 540, 2825, 19525, 563, 1607, 1032, 779, 2136, 8315, 17563, 13482, 593, 8693, 7827, 630, 7419, 293, 6717, 290, 264, 10985, 540, 519, 3487, 625, 630, 4596, 303, 264, 786, 1445, 593, 519, 5133, 540, 1507, 6532, 3384, 2829, 543, 519, 3390, 540, 2916, 5126, 269, 595, 2255, 2537, 568, 606, 7317, 10872, 9295, 547, 519, 968, 3519, 12401, 2986, 519, 15272, 476, 1724, 892, 630, 4596, 312, 1724, 1070, 799, 568, 513, 1883, 4549, 2218, 2680, 585, 9358, 7582, 302, 2818, 10283, 538, 713, 1032, 779, 30505, 2537, 2916, 16395, 4371, 538, 12844, 333, 269, 634, 1788, 729, 11643, 538, 4864, 476, 1001, 278, 543, 729, 6074, 856, 540, 7366, 10872, 7418, 547, 581, 4843, 693, 2910, 312, 1724, 563, 4415, 713, 7317, 1788, 267, 649, 2832, 547, 1711, 2230, 585, 8086, 543, 4082, 267, 6679, 909, 2055, 543, 12419, 513, 2189, 9295, 8204, 519, 5639, 540, 519, 6107, 693, 30505, 2537, 269, 1284, 1616, 547, 3715, 513, 11407, 827, 2022, 24645, 1143, 1369, 519, 2796, 540, 2916, 1689, 17846, 543, 9542, 269, 1635, 10655, 5380, 630, 7596, 1470, 543, 2854, 264, 593, 2916, 5126, 1282, 2910, 312, 1724, 543, 676, 9306, 519, 3803, 2326, 547, 9358, 7582, 302, 267, 649, 1616, 547, 6542, 519, 23473, 540, 6061, 2518, 16526, 543, 4061, 2916, 21440, 563, 24058, 543, 8301, 1570, 827, 2825, 19525, 786, 581, 267, 607, 851, 540, 968, 290, 2255, 2537, 5608, 4843, 693, 938, 1102, 984, 26743, 593, 519, 476, 274, 6113, 540, 5437, 476, 1001, 278, 269, 1635, 10655, 6592, 543, 2854, 1570, 689, 1142, 16045, 267, 649, 4126, 547, 1711, 513, 2219, 4538, 2230, 609, 4055, 585, 8086, 269, 2353, 10356, 19827, 786, 581, 2322, 1927, 547, 513, 2582, 3950, 543, 581, 2016, 547, 513, 9358, 7582, 302, 22557, 17367, 269, 769, 1840, 267, 789, 786, 581, 1500, 2139, 547, 519, 1857, 3842, 938, 2546, 609, 519, 9837, 540, 11121, 1007, 2093, 543, 3785, 563, 763, 7170, 281, 595, 2255, 2537, 454, 763, 2140, 968, 290, 2255, 2537, 892, 1107, 3541, 1516, 689, 519, 2296, 4082, 968, 322, 2255, 476, 2420, 892, 1107, 729, 6074, 609, 519, 2856, 540, 11341, 621, 547, 519, 1184, 540, 519, 4339, 585, 2916, 5126, 543, 602, 5126, 3112, 581, 6603, 952, 2022, 24645, 16526, 2611, 269, 589, 19433, 799, 814, 1044, 9619, 267, 855, 666, 1869, 581, 8068, 1369, 519, 26750, 540, 2916, 5126, 6214, 269, 634, 1297, 968, 2537, 892, 729, 6074, 607, 621, 786, 581, 519, 476, 2537, 6113, 10985, 540, 519, 3487, 625, 630, 4596, 303, 1916, 17730, 6611, 585, 14506, 454, 29423, 1470, 543, 2854, 1570, 585, 5171, 786, 581, 3177, 609, 519, 2832, 540, 2870, 2230, 585, 8086, 269, 634, 2854, 1570, 5161, 540, 2110, 3594, 2854, 676, 721, 593, 519, 1888, 540, 2825, 19525, 543, 2916, 5126, 1107, 634, 3345, 4149, 1926, 6764, 21692, 543, 634, 1280, 326, 13516, 7087, 24447, 1547, 634, 8301, 1570, 3254, 693, 938, 1796, 568, 513, 28094, 540, 19827, 540, 519, 15624, 3144, 1282, 30505, 2641, 538, 8303, 538, 5437, 476, 1001, 276, 269, 5741, 16045, 779, 5784, 267, 4555, 267, 6898, 543, 5717, 3144, 1282, 2910, 312, 1724, 786, 581, 3773, 547, 713, 10916, 269, 634, 1570, 5713, 607, 513, 3760, 585, 606, 1930, 543, 7104, 8086, 593, 2825, 19525, 543, 3947, 4316, 547, 4358, 606, 3742, 5188, 1063, 31655, 689, 782, 936, 519, 1158, 563, 1103, 1931, 547, 12954, 1007, 2093, 543, 1711, 9840, 267, 782, 2016, 6898, 786, 581, 23345, 547, 938, 2228, 3760, 543, 15597, 3838, 865, 602, 5171, 616, 2016, 519, 7872, 547, 6432, 547, 3105, 19827, 543, 4061, 267, 2744, 5813, 883, 1114, 5784, 267, 8369, 543, 4606, 7282, 2916, 5126, 269, 4329, 267, 1930, 2055, 799, 786, 581, 19942, 856, 693, 519, 2680, 3246, 3606, 1426, 585, 2219, 563, 4415, 968, 290, 2255, 2537, 5608, 649, 1616, 547, 1711, 513, 2922, 2230, 585, 5188, 543, 3895, 5191, 540, 4633, 585, 782, 5171, 269, 1452, 2035, 616, 1360, 1271, 585, 519, 1788, 282, 649, 1616, 547, 28160, 1125, 2486, 779, 6671, 1935, 269, 4475, 267, 5171, 616, 10950, 547, 2769, 2933, 538, 1022, 1893, 543, 2016, 519, 3903, 540, 9363, 20822, 563, 288, 3896, 814, 1044, 2813, 267, 7674, 607, 513, 3760, 585, 1702, 5385, 269, 2353, 19827, 786, 581, 23345, 538, 1483, 6066, 1282, 519, 10554, 269, 19534, 281, 4179, 2517, 322, 2255, 2537, 19986, 269, 5320, 12304, 2593, 13045, 763, 23866, 7698, 454, 763, 28094, 540, 19827, 3144, 1282, 30505, 2641, 538, 8303, 538, 5437, 476, 1001, 276, 6039, 607, 1292, 6667, 585, 938, 1788, 269, 634, 1379, 540, 891, 9739, 5795, 721, 519, 8404, 547, 1376, 513, 11407, 827, 2825, 19525, 543, 2916, 5126, 563, 763, 3095, 547, 519, 8301, 3950, 666, 581, 1336, 593, 938, 1788, 3896, 610, 581, 2047, 19557, 1934, 281, 4179, 2517, 338, 895, 743, 3716, 2593, 270, 3405, 773, 268, 2735, 5952, 274, 279, 1015, 454, 763, 18838, 7698, 454, 4322, 2110, 3594, 616, 513, 7848, 540, 4081, 1382, 543, 938, 1378, 6662, 5380, 593, 2825, 19525, 563, 15578, 715, 3036, 8025, 4149, 5495, 8025, 29313, 3008, 10345, 454, 13349, 855, 7756, 7007, 13786, 4850, 454, 1103, 519, 7810, 2250, 267, 519, 6820, 3345, 13736, 22237, 543, 2686, 14226, 540, 519, 1004, 540, 519, 2048, 23612, 2622, 685, 1247, 693, 519, 1482, 942, 1025, 5446, 873, 540, 1373, 18807, 630, 298, 27092, 476, 1960, 272, 1040, 27009, 267, 519, 1482, 9183, 666, 581, 14754, 1369, 519, 5943, 540, 3486, 2916, 6214, 269, 3245, 519, 5380, 540, 519, 3384, 2477, 267, 519, 6820, 3345, 1185, 1044, 3542, 5024, 519, 5790, 543, 9714, 532, 519, 1604, 998, 4853, 5314, 936, 519, 2063, 1079, 5553, 543, 1058, 4061, 1491, 5539, 585, 741, 8978, 7418, 2509, 519, 10236, 18152, 14001, 2916, 1689, 630, 289, 14725, 333, 1263, 337, 7564, 828, 543, 10791, 345, 476, 1220, 279, 1040, 476, 736, 260, 540, 519, 4853, 1242, 2477, 2272, 585, 476, 2568, 260, 540, 519, 2518, 2949, 2910, 476, 273, 5434, 267, 3976, 267, 789, 616, 519, 1292, 12376, 518, 269, 5015, 267, 829, 21027, 2910, 476, 273, 5434, 538, 519, 6820, 3162, 616, 1454, 2539, 982, 538, 519, 6820, 3345, 267, 552, 3052, 269, 835, 772, 2529, 269, 12504, 6589, 585, 606, 476, 279, 628, 24670, 540, 8511, 9362, 538, 519, 5790, 3379, 547, 602, 540, 513, 4457, 12504, 543, 513, 476, 736, 628, 24670, 540, 602, 540, 606, 4095, 12504, 630, 23961, 1206, 476, 1220, 272, 1040, 634, 3384, 2477, 267, 4171, 10862, 568, 547, 2327, 2804, 2208, 538, 1931, 547, 2743, 519, 2596, 2115, 585, 741, 1004, 267, 3747, 13618, 689, 519, 4853, 1242, 1158, 269, 769, 4334, 267, 519, 3638, 2477, 20549, 547, 2759, 1524, 593, 741, 1378, 5434, 8259, 4057, 6082, 1705, 519, 1482, 269, 4340, 547, 14076, 9564, 630, 1220, 271, 1070, 968, 26238, 922, 27299, 267, 519, 2916, 16395, 723, 14754, 7920, 536, 1157, 1359, 1063, 543, 1369, 519, 4853, 543, 3384, 1158, 936, 945, 1058, 1491, 5539, 267, 538, 1018, 2268, 267, 543, 896, 1018, 2175, 267, 547, 513, 3200, 2916, 1689, 6100, 4746, 267, 21662, 543, 20088, 630, 1220, 279, 264, 8044, 602, 519, 5087, 1606, 1926, 791, 21692, 568, 968, 684, 3697, 569, 547, 581, 17251, 538, 519, 9000, 540, 10728, 3646, 547, 2232, 2152, 540, 8635, 543, 5126, 9731, 20458, 7827, 14600, 12720, 454, 763, 7521, 1472, 3140, 9021, 1369, 519, 2796, 540, 2518, 8337, 849, 12651, 519, 2243, 827, 2916, 1689, 17846, 269, 1280, 5756, 267, 2916, 1689, 9542, 1185, 711, 4607, 1454, 3007, 855, 3079, 267, 2916, 1689, 16395, 5059, 5631, 593, 8511, 3154, 12998, 20214, 630, 23961, 1206, 476, 1220, 272, 1040, 769, 6240, 267, 2916, 1689, 17846, 13408, 782, 1797, 540, 9542, 267, 799, 948, 2061, 519, 1526, 1778, 618, 540, 519, 1367, 543, 7104, 24454, 676, 519, 5222, 540, 519, 10236, 18152, 14001, 2916, 1689, 630, 289, 14725, 333, 1263, 337, 7564, 828, 3768, 10791, 345, 476, 1220, 279, 1040, 18831, 799, 723, 2547, 8329, 2509, 2518, 8337, 3668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16693, 543, 1216, 269, 3973, 267, 27653, 513, 10412, 3440, 538, 519, 3070, 543, 1747, 621, 538, 707, 4299, 1274, 585, 827, 476, 276, 3764, 269, 30850, 267, 4894, 519, 10412, 3440, 543, 2482, 1524, 593, 707, 6587, 2427, 547, 1577, 519, 3070, 8963, 856, 269, 1411, 666, 10956, 713, 1184, 2899, 610, 7466, 513, 1554, 563, 3383, 267, 972, 596, 723, 621, 1107, 476, 274, 1114, 14319, 585, 1274, 31191, 602, 596, 666, 2119, 693, 1753, 269, 5457, 267, 621, 779, 2141, 1655, 547, 5077, 609, 707, 4387, 1354, 3843, 1022, 1007, 14319, 267, 2523, 952, 596, 723, 1022, 5817, 2564, 2175, 269, 594, 4126, 891, 14319, 948, 547, 13468, 707, 1928, 543, 9636, 563, 21675, 585, 570, 976, 559, 6519, 1975, 1824, 454, 20756, 972, 256, 20944, 930, 3043, 9634, 593, 707, 9748, 2812, 286, 3371, 616, 930, 2126, 3681, 596, 666, 2015, 912, 272, 269, 717, 1173, 1782, 609, 6070, 1216, 281, 901, 568, 513, 2706, 2653, 1753, 16185, 602, 666, 948, 2569, 519, 11926, 543, 6553, 3361, 676, 9748, 559, 3043, 9634, 269, 17186, 3368, 513, 23188, 540, 6070, 609, 513, 7484, 540, 3636, 1216, 543, 575, 1173, 548, 585, 476, 1789, 7643, 7466, 513, 1554, 563, 273, 269, 25095, 7821, 281, 1403, 519, 3043, 9634, 593, 707, 9748, 2812, 616, 3361, 676, 513, 9190, 3968, 267, 707, 4387, 949, 21559, 11216, 547, 948, 2312, 621, 909, 269, 5457, 547, 9096, 519, 2407, 1576, 540, 11216, 11311, 676, 707, 4387, 267, 1256, 952, 596, 1376, 4743, 1732, 1354, 519, 1576, 7475, 563, 274, 269, 570, 976, 559, 937, 3912, 281, 769, 930, 2665, 267, 707, 4387, 949, 4363, 9427, 707, 9748, 2812, 630, 27971, 559, 937, 3912, 264, 952, 707, 3043, 9634, 616, 20443, 610, 1360, 4049, 269, 901, 568, 2356, 513, 2063, 18992, 4781, 543, 568, 1152, 5227, 952, 824, 5574, 723, 8959, 563, 275, 269, 6641, 9154, 8323, 281, 1411, 666, 849, 2119, 936, 7308, 23716, 1928, 17212, 951, 899, 16481, 1575, 19745, 523, 610, 21449, 3133, 641, 1156, 547, 948, 14867, 519, 1928, 543, 9636, 3361, 676, 9748, 559, 3043, 9634, 269, 25530, 7899, 540, 12862, 543, 9363, 19872, 666, 849, 948, 563, 1103, 3932, 267, 972, 616, 1896, 2081, 547, 1521, 9748, 559, 3043, 9634, 4470, 593, 519, 10335, 543, 2014, 540, 519, 2783, 269, 898, 779, 2141, 1655, 547, 5077, 707, 4387, 585, 1697, 5868, 543, 2126, 3681, 563, 7093, 28124, 2423, 543, 570, 976, 559, 12983, 454, 20756, 16921, 267, 1577, 779, 2911, 827, 1945, 649, 1419, 26777, 1107, 2921, 1416, 540, 938, 10772, 543, 9748, 2812, 256, 4107, 1004, 1810, 1406, 2628, 3007, 547, 891, 2694, 540, 519, 1560, 2394, 789, 1376, 7680, 2042, 269, 769, 713, 2376, 267, 649, 3580, 3382, 519, 1283, 476, 276, 2081, 547, 2061, 1274, 543, 9748, 559, 2152, 563, 272, 269, 6657, 6153, 30719, 454, 2005, 779, 1898, 547, 2226, 1434, 9882, 547, 2061, 1274, 543, 9748, 559, 5563, 269, 5269, 2386, 547, 11547, 707, 3946, 5781, 543, 2057, 4687, 2123, 3688, 899, 28734, 543, 1274, 10746, 269, 11162, 707, 10772, 9900, 609, 513, 11547, 743, 1054, 543, 2057, 1210, 10412, 2220, 11274, 610, 824, 8325, 3615, 602, 666, 3441, 707, 552, 731, 337, 4548, 563, 273, 269, 13773, 589, 3118, 689, 700, 3716, 3143, 2478, 454, 2750, 17068, 547, 10978, 21089, 666, 3441, 707, 6217, 543, 1291, 547, 1274, 5829, 2042, 269, 11408, 946, 1274, 680, 13903, 610, 1274, 332, 32332, 950, 596, 2461, 6534, 547, 10978, 21089, 267, 971, 607, 538, 513, 13447, 610, 513, 4070, 3135, 563, 274, 269, 2372, 527, 25003, 454, 10712, 3183, 568, 5739, 547, 707, 1072, 538, 1082, 2081, 267, 543, 621, 666, 849, 2014, 1274, 543, 9748, 559, 5563, 269, 1403, 596, 2461, 513, 15137, 518, 267, 29655, 7296, 666, 3648, 2569, 707, 1981, 540, 3384, 891, 2152, 563, 275, 269, 5192, 17261, 3990, 454, 26807, 25750, 666, 948, 2061, 1274, 543, 9748, 559, 5563, 267, 971, 607, 519, 2770, 6669, 543, 519, 13969, 25497, 5632, 6669, 269, 5269, 2386, 547, 1205, 18764, 607, 5227, 676, 707, 3782, 8502, 563, 276, 269, 6875, 5516, 540, 2659, 2353, 25489, 454, 2252, 596, 723, 11959, 267, 789, 666, 2014, 6553, 538, 707, 10772, 543, 9748, 2812, 267, 3056, 547, 5563, 269, 28509, 707, 11959, 676, 2921, 14711, 6527, 267, 9319, 12153, 267, 543, 5329, 707, 2713, 2230, 2973, 563, 21982, 1416, 540, 707, 10772, 543, 9748, 2812, 568, 2629, 585, 707, 2949, 1072, 543, 8171, 269, 1635, 1739, 891, 2241, 4388, 267, 596, 666, 2061, 1082, 1274, 543, 9748, 559, 2152, 269, 5457, 547, 5077, 707, 3782, 8502, 952, 596, 1995, 1022, 2589, 610, 9636, 538, 707, 10772, 610, 11563, 269, 13773, 2635, 2336, 23087, 540, 2423, 543, 570, 976, 559, 12983, 454, 28606, 1928, 666, 581, 3361, 676, 513, 3099, 540, 2188, 971, 607, 5563, 267, 14589, 19221, 267, 4914, 3615, 538, 519, 1274, 267, 543, 1256, 4522, 8860, 269, 898, 568, 1271, 547, 2697, 519, 3597, 2014, 540, 519, 1928, 538, 1931, 547, 3313, 519, 3617, 2126, 563, 307, 976, 559, 3043, 9634, 616, 1419, 513, 1129, 540, 3968, 610, 6553, 538, 519, 9748, 2812, 269, 901, 666, 581, 3361, 676, 513, 9190, 610, 10194, 3968, 267, 543, 949, 2154, 11216, 610, 824, 2564, 2126, 547, 8207, 563, 2467, 616, 1585, 14319, 585, 1274, 31191, 602, 666, 581, 2944, 693, 1753, 267, 971, 607, 7311, 513, 3636, 14771, 267, 2921, 936, 7308, 23716, 1928, 17212, 951, 267, 543, 9319, 8886, 1218, 899, 8673, 610, 10978, 21089, 269, 1717, 267, 952, 519, 1928, 26251, 610, 568, 4049, 267, 621, 568, 1271, 547, 3343, 2564, 3007, 563, 21675, 585, 9748, 559, 3043, 9634, 5673, 593, 519, 2014, 540, 519, 3968, 610, 6553, 269, 25095, 7821, 949, 581, 11311, 952, 519, 2014, 568, 9190, 267, 1247, 27179, 6527, 949, 581, 1031, 952, 519, 2014, 568, 10194, 269, 769, 930, 2665, 267, 6391, 949, 581, 2556, 547, 4894, 519, 9748, 2812, 563, 7093, 3685, 540, 1274, 543, 9748, 559, 2152, 2882, 8026, 1434, 9882, 267, 9319, 8886, 1218, 899, 8673, 543, 5533, 267, 543, 5329, 519, 1274, 543, 11563, 1858, 2973, 269, 898, 568, 849, 1271, 547, 2232, 1022, 5817, 1072, 2175, 602, 949, 3565, 547, 891, 2152, 269, 0, 7661, 267, 513, 2189, 19605, 543, 3818, 2364, 894, 2534, 609, 891, 1187, 5616, 6215, 1938, 256, 901, 3059, 19605, 543, 3818, 2364, 894, 2534, 568, 3501, 585, 17265, 3347, 538, 7515, 543, 11708, 269, 22034, 5616, 6215, 1938, 2306, 713, 3845, 1565, 2534, 2656, 543, 2653, 256, 3143, 12215, 610, 4574, 616, 2877, 269, 13068, 5528, 1118, 713, 513, 1390, 2979, 2534, 585, 7449, 267, 610, 513, 1187, 7649, 2534, 538, 1362, 563, 8777, 720, 707, 1053, 609, 19605, 543, 3818, 2364, 894, 3347, 676, 8026, 609, 513, 3059, 2534, 269, 4841, 786, 2648, 3695, 2979, 4806, 2035, 998, 891, 5616, 6215, 1938, 267, 543, 4465, 1406, 1256, 8275, 875, 1454, 789, 2461, 1565, 2336, 414, 511, 494, 1548, 779, 32087, 912, 268, 5616, 6215, 1938, 11314, 454, 268, 13068, 8846, 585, 875, 547, 2671, 519, 2534, 609, 707, 1053, 454, 268, 8382, 1883, 454, 7312, 1053, 786, 2648, 8159, 19605, 543, 3818, 2364, 894, 3347, 1210, 2029, 269, 3143, 811, 19309, 3211, 602, 596, 723, 547, 1820, 543, 3341, 2336, 1607, 2534, 568, 3501, 585, 3845, 1565, 267, 513, 10316, 4928, 267, 2029, 5610, 267, 2689, 267, 1016, 4566, 267, 513, 1187, 7649, 2534, 267, 4830, 2259, 543, 865, 1454, 811, 2336, 414, 511, 494, 634, 5616, 6215, 1938, 3657, 1306, 7427, 338, 912, 20228, 728, 476, 272, 268, 7170, 267, 1053, 2322, 741, 4408, 454, 20228, 728, 476, 273, 1107, 23037, 4834, 267, 1913, 543, 12596, 883, 19605, 610, 3818, 2364, 894, 454, 20228, 728, 476, 274, 1107, 23037, 7515, 883, 19605, 610, 3818, 2364, 894, 454, 20228, 728, 476, 275, 268, 23037, 11708, 883, 19605, 610, 3818, 2364, 894, 454, 20228, 728, 476, 276, 268, 279, 8073, 707, 1378, 268, 4841, 786, 581, 2016, 513, 4341, 543, 789, 786, 723, 547, 6445, 856, 513, 3349, 267, 1711, 513, 3113, 543, 17854, 952, 519, 4806, 568, 19605, 610, 3818, 2364, 894, 269, 1703, 616, 476, 273, 15942, 602, 6451, 17447, 883, 519, 4341, 563, 20228, 728, 476, 280, 268, 1015, 9046, 14572, 268, 4841, 786, 723, 11461, 1966, 6061, 609, 7515, 269, 1452, 616, 1930, 8694, 563, 20228, 728, 476, 1556, 268, 1724, 4530, 16721, 268, 2789, 3903, 2055, 543, 2491, 707, 3206, 269, 630, 821, 8918, 1966, 568, 2938, 1934, 994, 20228, 728, 476, 1691, 268, 7736, 532, 543, 875, 547, 2671, 609, 707, 4116, 454, 296, 849, 1331, 1776, 3095, 585, 519, 2626, 1883, 269, 901, 1131, 581, 3501, 607, 513, 7649, 2534, 267, 4830, 2534, 267, 23918, 267, 610, 2689, 1354, 5254, 288, 2752, 256, 0, 21837, 543, 22189, 4283, 883, 513, 26027, 26315, 267, 27300, 3775, 525, 543, 9604, 547, 24901, 741, 1272, 17489, 6125, 540, 14017, 547, 1142, 824, 269, 634, 26315, 789, 2759, 2882, 22189, 779, 1762, 5067, 631, 788, 3031, 657, 515, 628, 267, 7247, 6424, 11394, 856, 547, 12196, 1256, 1310, 22189, 10523, 269, 1703, 12898, 267, 631, 788, 3031, 657, 515, 628, 568, 14376, 547, 3548, 693, 519, 4622, 779, 3349, 11014, 267, 7938, 20564, 1498, 646, 949, 581, 269, 6424, 2982, 631, 788, 3031, 657, 515, 628, 11688, 539, 630, 331, 8221, 29292, 1145, 264, 1317, 540, 1010, 26315, 609, 22189, 267, 945, 6039, 607, 1010, 5067, 779, 26315, 11347, 2212, 563, 1607, 3140, 12558, 14550, 1134, 519, 1523, 540, 6041, 269, 1306, 22189, 729, 631, 788, 3031, 657, 515, 628, 779, 26315, 11347, 2212, 267, 865, 4906, 568, 519, 26315, 11347, 2212, 540, 519, 3003, 1480, 5198, 269, 5047, 267, 899, 6424, 3168, 585, 631, 788, 3031, 657, 515, 628, 267, 2696, 568, 10478, 585, 721, 267, 16462, 547, 20662, 880, 2390, 721, 782, 519, 13284, 1127, 543, 25736, 602, 2097, 689, 1373, 538, 26315, 609, 1864, 998, 2441, 269, 1261, 20217, 721, 547, 3548, 693, 519, 3751, 779, 3349, 11014, 267, 7938, 20564, 1498, 649, 949, 581, 269, 2696, 779, 11688, 539, 630, 331, 8221, 11779, 1145, 264, 1631, 8928, 547, 782, 945, 11760, 4906, 676, 5132, 607, 741, 26315, 11347, 2212, 563, 1103, 595, 269, 590, 269, 11066, 779, 13584, 595, 5684, 1014, 267, 21667, 543, 1306, 17427, 4497, 538, 606, 27283, 6643, 269, 630, 299, 1075, 344, 568, 835, 540, 519, 3212, 26223, 773, 1453, 267, 543, 1306, 17427, 267, 519, 17794, 267, 568, 519, 2441, 4137, 538, 11066, 779, 634, 20048, 2873, 540, 715, 7568, 807, 4700, 21667, 18387, 1406, 2938, 1306, 17427, 538, 3833, 513, 1279, 942, 267, 543, 950, 1352, 6368, 1281, 267, 1352, 3081, 609, 9983, 267, 968, 2026, 17427, 267, 596, 2461, 8273, 1848, 634, 17794, 30491, 267, 968, 6546, 568, 1317, 596, 616, 4587, 267, 2370, 835, 1848, 21667, 12134, 267, 968, 8253, 1317, 596, 616, 9495, 1306, 17427, 3081, 267, 968, 296, 993, 711, 269, 1809, 1169, 1032, 596, 1332, 267, 596, 786, 1265, 803, 8273, 3034, 14582, 773, 951, 1472, 519, 1158, 2221, 1131, 798, 1134, 547, 1832, 3395, 32375, 267, 543, 538, 519, 1184, 267, 1265, 2696, 8273, 982, 789, 1185, 2479, 26927, 3139, 269, 1261, 1869, 6499, 547, 798, 811, 998, 721, 982, 649, 2479, 1223, 723, 16545, 630, 22977, 1127, 2103, 476, 274, 281, 736, 1040, 1280, 602, 547, 4755, 267, 519, 5939, 540, 4906, 2441, 1590, 1294, 2696, 607, 4625, 23836, 269, 1284, 1590, 849, 991, 547, 1294, 6000, 607, 23836, 267, 1932, 24568, 1864, 269, 3143, 811, 540, 713, 1582, 268, 1718, 655, 31766, 267, 713, 2258, 18356, 4724, 6000, 256, 3143, 811, 2300, 4926, 607, 547, 1946, 649, 666, 1406, 581, 1031, 1522, 1176, 540, 2696, 547, 798, 1390, 1919, 538, 938, 4884, 538, 938, 942, 2336, 5591, 267, 538, 25360, 332, 476, 279, 267, 6424, 20217, 21071, 267, 1101, 267, 547, 14952, 693, 519, 18710, 540, 2696, 269, 4208, 286, 5221, 2696, 779, 2012, 568, 23836, 538, 782, 519, 3618, 630, 272, 267, 476, 280, 5148, 646, 3096, 519, 4617, 1919, 540, 713, 1158, 547, 14710, 1010, 14763, 630, 273, 5148, 646, 814, 2813, 713, 5318, 7122, 543, 3388, 538, 621, 630, 274, 5148, 543, 646, 5963, 30128, 585, 519, 9583, 28971, 1480, 7919, 646, 814, 1500, 630, 275, 1040, 11569, 267, 2696, 568, 19039, 569, 23836, 563, 3719, 6424, 538, 25360, 332, 476, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11133, 25507, 263, 3863, 17750, 15405, 516, 341, 284, 271, 454, 6112, 16325, 285, 271, 2187, 825, 14230, 284, 11133, 260, 1015, 454, 825, 2847, 284, 516, 341, 265, 1015, 266, 8145, 664, 1457, 454, 825, 1003, 284, 11133, 270, 1015, 454, 2745, 2847, 8931, 0, 3698, 535, 11170, 10734, 340, 3960, 3799, 2187, 22322, 476, 952, 568, 27349, 3799, 267, 842, 2187, 825, 952, 562, 260, 274, 2652, 476, 271, 543, 562, 260, 276, 256, 284, 271, 912, 8587, 2132, 1412, 293, 11170, 7055, 825, 8640, 562, 260, 274, 11203, 271, 543, 562, 260, 276, 2652, 476, 271, 912, 8587, 2132, 1412, 31807, 3960, 7055, 825, 8640, 562, 260, 274, 2652, 271, 543, 562, 260, 276, 2652, 476, 271, 912, 8587, 2132, 1412, 293, 11170, 31807, 3960, 7055, 825, 3116, 912, 8587, 2132, 562, 454, 476, 3116, 912, 825, 2132, 1412, 1103, 20777, 1297, 28847, 0, 5814, 1357, 321, 4900, 518, 692, 5035, 28414, 912, 825, 5727, 4147, 547, 3180, 7260, 1344, 585, 946, 538, 2870, 513, 1357, 2985, 540, 5172, 9413, 780, 1038, 5900, 1026, 2373, 912, 2018, 2012, 815, 7260, 2012, 454, 2018, 16968, 815, 7260, 16968, 3239, 29250, 454, 2018, 911, 8814, 815, 29250, 596, 32353, 7260, 911, 8814, 454, 2018, 12773, 815, 7260, 12773, 267, 1590, 581, 835, 540, 519, 16863, 1179, 604, 539, 538, 519, 1362, 16863, 8675, 454, 2018, 1032, 815, 1032, 7260, 5950, 454, 2018, 7121, 815, 7260, 7121, 630, 323, 18769, 267, 18792, 267, 3092, 8094, 672, 5727, 1038, 454, 825, 16863, 815, 27835, 294, 9166, 262, 283, 31078, 2511, 6889, 10233, 281, 13582, 282, 13944, 1922, 13637, 281, 10870, 6016, 4563, 22969, 294, 9572, 31078, 285, 22779, 25639, 1412, 22333, 9166, 262, 283, 31078, 2511, 6889, 10233, 281, 528, 1052, 282, 13944, 1922, 13637, 281, 10870, 6016, 4563, 22969, 22333, 9572, 31078, 285, 22779, 25639, 1412, 22333, 268, 1724, 9166, 262, 283, 31078, 2511, 6889, 10233, 281, 20580, 921, 282, 13944, 1922, 13637, 281, 10870, 6016, 4563, 22969, 22333, 268, 1724, 9572, 31078, 285, 22779, 25639, 1412, 305, 9166, 262, 283, 31078, 2511, 6889, 10233, 281, 1042, 282, 13944, 1922, 13637, 281, 10870, 6016, 4563, 22969, 305, 9572, 31078, 285, 262, 8679, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 28872, 8803, 267, 10177, 8814, 267, 7992, 11971, 792, 22698, 14394, 2187, 1038, 1582, 26644, 815, 2012, 454, 1038, 1582, 4877, 8803, 318, 13548, 318, 14766, 815, 16968, 454, 1038, 1582, 6745, 571, 8814, 14729, 19834, 318, 14766, 815, 911, 8814, 454, 1038, 1582, 269, 7992, 815, 12773, 282, 3097, 1038, 1582, 13885, 792, 815, 1032, 454, 1038, 1582, 6983, 14394, 815, 7121, 8528, 825, 1219, 1397, 4671, 571, 8814, 4311, 2187, 1038, 1357, 321, 4900, 518, 269, 13449, 4311, 6745, 571, 8814, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 3698, 30892, 17750, 23952, 3890, 9847, 1193, 912, 825, 15981, 31262, 3403, 5569, 18411, 825, 28364, 21803, 815, 3403, 2891, 11767, 930, 5569, 19515, 825, 2132, 28364, 21803, 692, 3698, 30892, 318, 2745, 318, 14310, 31114, 281, 1592, 2187, 825, 15981, 21646, 1267, 18411, 825, 1820, 31114, 2020, 3698, 4894, 318, 4944, 2167, 263, 2017, 337, 18360, 281, 1193, 264, 9847, 1193, 912, 825, 1510, 8967, 2167, 815, 1412, 7055, 825, 1985, 22129, 815, 8771, 454, 825, 585, 1775, 538, 2039, 12759, 263, 2017, 337, 18360, 15892, 1038, 952, 28364, 18360, 5157, 316, 2652, 1412, 1412, 912, 2018, 1985, 22129, 815, 6936, 454, 1038, 3116, 912, 2018, 952, 1985, 22129, 912, 3546, 1510, 8967, 2167, 6834, 1412, 1412, 1341, 28364, 18360, 5157, 2639, 3546, 1985, 22129, 815, 8771, 454, 2018, 3116, 912, 3546, 1510, 8967, 2167, 6834, 28364, 18360, 5157, 2639, 825, 2132, 1510, 8967, 2167, 454, 567, 692, 21397, 318, 2745, 318, 14310, 263, 24525, 318, 4944, 2167, 263, 21397, 17750, 23952, 3890, 4917, 0, 26611, 23591, 24800, 270, 7090, 274, 7531, 11133, 815, 703, 9272, 3488, 11767, 1297, 585, 1750, 6362, 1412, 11723, 333, 815, 476, 273, 22322, 529, 26594, 815, 6936, 692, 6112, 562, 2999, 1003, 912, 825, 952, 1003, 4939, 562, 2652, 476, 271, 912, 1038, 568, 26594, 815, 8771, 454, 1038, 2736, 454, 825, 562, 815, 562, 1341, 476, 272, 454, 3097, 604, 568, 26594, 912, 13537, 3488, 7312, 1297, 568, 2241, 5073, 12828, 912, 13537, 3488, 7312, 1297, 568, 711, 2241, 5073, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5814, 4351, 692, 2745, 2891, 11767, 707, 3903, 281, 4224, 910, 476, 271, 267, 2480, 19538, 910, 476, 272, 267, 1957, 910, 476, 273, 15419, 21065, 2419, 4069, 815, 703, 9272, 31156, 2967, 2419, 4069, 815, 4351, 27110, 263, 271, 267, 476, 273, 994, 2745, 3488, 9590, 1781, 1047, 568, 1412, 1341, 1193, 263, 2967, 2419, 4069, 11723, 604, 1208, 2419, 4069, 2652, 513, 328, 2419, 4069, 912, 825, 1820, 3488, 2005, 32075, 338, 513, 2721, 5073, 19197, 630, 21065, 2419, 4069, 2652, 476, 271, 543, 513, 328, 2419, 4069, 2652, 476, 273, 2187, 825, 1820, 3488, 2791, 6336, 5073, 19197, 630, 21065, 2419, 4069, 2652, 476, 272, 543, 513, 328, 2419, 4069, 2652, 476, 271, 2187, 13537, 3488, 2791, 6336, 5073, 19197, 630, 21065, 2419, 4069, 2652, 476, 273, 543, 513, 328, 2419, 4069, 2652, 476, 272, 2187, 825, 1820, 3488, 2791, 6336, 5073, 12828, 912, 825, 1820, 3488, 2791, 3094, 10807, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 3698, 30892, 17750, 23952, 3890, 9847, 1193, 912, 825, 15981, 31262, 3403, 5569, 18411, 825, 1820, 21803, 815, 3403, 2891, 11767, 930, 5569, 19515, 825, 2132, 1820, 21803, 692, 3698, 30892, 318, 16059, 18045, 6262, 870, 281, 703, 2187, 825, 15981, 31262, 16493, 1293, 540, 10978, 5022, 18411, 825, 1820, 2891, 15575, 568, 834, 1341, 1193, 6262, 870, 264, 9239, 3698, 10978, 318, 24393, 18045, 263, 2017, 337, 21803, 281, 1193, 264, 9847, 703, 912, 825, 15981, 31262, 7024, 1293, 540, 10978, 5022, 18411, 825, 10978, 815, 18358, 320, 3299, 1412, 334, 3299, 1412, 340, 3299, 1412, 328, 3299, 1412, 324, 3299, 1412, 344, 23300, 825, 2132, 2040, 263, 2017, 337, 21803, 29644, 9217, 264, 585, 1775, 538, 10978, 2020, 21397, 318, 16059, 18045, 10857, 3716, 318, 24393, 18045, 263, 21397, 17750, 23952, 3890, 4917, 0, 258, 256, 1315, 23591, 24800, 270, 7090, 454, 258, 1265, 4102, 1851, 562, 1239, 281, 4102, 272, 18258, 3097, 16482, 333, 815, 3403, 2891, 11767, 513, 1341, 557, 8870, 281, 19515, 323, 284, 3863, 17750, 2891, 11767, 1239, 267, 835, 829, 1899, 281, 19515, 339, 787, 912, 567, 3193, 25507, 5560, 994, 567, 585, 1775, 538, 2039, 3799, 268, 272, 2187, 11434, 546, 284, 3863, 17750, 2891, 11767, 1239, 267, 835, 829, 1899, 281, 19515, 11434, 2119, 912, 16875, 1239, 25507, 5560, 994, 16875, 952, 3193, 2999, 1239, 281, 3193, 815, 1239, 454, 11434, 4849, 281, 1820, 1412, 8253, 703, 630, 273, 264, 7055, 567, 1820, 1412, 16655, 281, 3299, 3193, 454, 21955, 281, 1820, 1412, 8253, 703, 630, 272, 264, 7055, 0, 258, 5649, 606, 8870, 543, 1820, 543, 4009, 540, 621, 454, 333, 815, 3403, 2891, 11767, 606, 8870, 281, 19515, 2745, 834, 338, 336, 337, 263, 2580, 333, 2437, 264, 815, 14307, 333, 265, 333, 454, 0, 5814, 26417, 5897, 3698, 818, 336, 318, 1410, 626, 324, 6600, 32327, 2567, 1948, 612, 320, 1187, 23843, 2357, 881, 320, 694, 795, 5451, 2291, 324, 19804, 818, 638, 16343, 1547, 322, 12364, 9106, 5964, 7817, 525, 1477, 825, 2291, 324, 815, 476, 272, 1948, 19702, 5451, 767, 546, 16244, 6446, 5581, 513, 2291, 17845, 333, 25556, 798, 818, 638, 16343, 630, 272, 16948, 1138, 552, 476, 271, 16948, 562, 14244, 3418, 825, 2119, 281, 21506, 1038, 1930, 6600, 32327, 264, 1948, 320, 638, 328, 552, 340, 17895, 334, 23513, 597, 522, 818, 638, 16343, 1477, 825, 4849, 594, 302, 13286, 281, 1948, 572, 554, 23662, 2144, 549, 632, 3403, 3977, 267, 562, 14244, 2291, 324, 522, 818, 638, 16343, 1477, 1038, 2291, 324, 815, 476, 271, 1477, 825, 2132, 263, 1410, 626, 324, 264, 1948, 1427, 1941, 320, 476, 271, 694, 522, 818, 638, 16343, 562, 14244, 2291, 324, 552, 476, 272, 8732, 334, 733, 337, 5451, 26369, 5897, 3698, 561, 518, 32269, 6600, 32327, 2567, 1948, 612, 320, 1187, 23843, 561, 17845, 522, 26417, 2291, 25366, 552, 4780, 974, 694, 639, 546, 15606, 16948, 546, 20601, 5451, 26369, 1477, 825, 26417, 12803, 815, 1930, 6600, 32327, 267, 1412, 337, 10807, 21506, 825, 5467, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 23437, 574, 3438, 8782, 282, 10807, 1948, 1260, 568, 810, 31836, 5498, 552, 561, 17845, 5498, 522, 26417, 1477, 24541, 825, 678, 815, 32582, 1948, 6373, 30458, 642, 1794, 807, 16948, 2256, 828, 607, 1083, 5451, 557, 529, 1477, 24541, 825, 585, 4737, 538, 5467, 281, 1948, 525, 572, 8520, 535, 1794, 579, 2742, 621, 5028, 23843, 1303, 516, 607, 13274, 13757, 798, 26417, 1477, 1038, 678, 6910, 21405, 264, 1948, 553, 13274, 13757, 798, 26417, 521, 14244, 1202, 322, 761, 553, 635, 334, 621, 839, 13005, 30458, 1477, 1363, 1477, 825, 7817, 525, 318, 656, 815, 15079, 1948, 2946, 2822, 18480, 19804, 546, 20601, 5451, 26369, 632, 911, 4472, 14833, 642, 1794, 1470, 1477, 24541, 825, 585, 1775, 538, 678, 281, 1948, 3438, 320, 23843, 1303, 516, 15259, 621, 839, 13005, 30458, 1477, 1038, 7817, 525, 318, 656, 269, 26303, 263, 2715, 21506, 2018, 1775, 314, 271, 316, 2433, 1496, 328, 314, 272, 3910, 328, 314, 273, 14963, 1477, 2018, 7684, 264, 1948, 553, 669, 2314, 798, 546, 20601, 5451, 26369, 521, 14244, 1651, 761, 553, 635, 15259, 1130, 2803, 513, 851, 597, 13005, 30458, 1477, 1363, 1477, 825, 2132, 7817, 525, 318, 656, 1948, 4958, 1941, 320, 522, 546, 20601, 5451, 26369, 632, 7817, 525, 606, 614, 1470, 637, 267, 26759, 267, 1884, 525, 13005, 4291, 340, 23843, 5897, 3698, 7895, 597, 5091, 15606, 263, 2567, 1948, 612, 320, 1187, 23843, 7895, 324, 546, 15606, 13121, 7817, 525, 16948, 7373, 337, 5451, 2000, 657, 1477, 825, 524, 335, 325, 815, 3403, 3488, 11900, 4275, 522, 8713, 293, 798, 7817, 324, 281, 1412, 3418, 825, 562, 727, 815, 3403, 3488, 11900, 4275, 522, 562, 727, 798, 7817, 324, 281, 1412, 3418, 825, 678, 326, 815, 3403, 3488, 11900, 4275, 522, 681, 294, 798, 7817, 324, 281, 1412, 3418, 24541, 24541, 825, 7817, 525, 815, 2715, 1477, 1038, 524, 335, 325, 2433, 1496, 333, 727, 267, 678, 326, 15947, 1038, 7684, 1948, 845, 320, 5498, 19804, 546, 20601, 5451, 26369, 635, 15259, 546, 15606, 1477, 24541, 825, 1365, 815, 3403, 28361, 333, 291, 3150, 10937, 20017, 770, 32057, 544, 9820, 19804, 7817, 324, 1496, 338, 14672, 316, 286, 262, 3738, 1948, 550, 2784, 320, 16948, 522, 8520, 632, 7373, 549, 632, 7817, 525, 1477, 24541, 24541, 825, 1247, 476, 1365, 2652, 1412, 306, 262, 610, 1365, 2652, 262, 338, 9166, 1948, 31467, 6446, 694, 10221, 324, 20017, 770, 8681, 334, 7817, 525, 679, 638, 27053, 522, 721, 340, 5451, 26369, 964, 324, 21186, 1477, 1038, 524, 335, 325, 815, 3403, 3488, 11900, 4275, 522, 8713, 293, 798, 7817, 324, 281, 1412, 3418, 1038, 562, 727, 815, 3403, 3488, 11900, 4275, 522, 562, 727, 798, 7817, 324, 281, 1412, 3418, 1038, 678, 326, 815, 3403, 3488, 11900, 4275, 522, 681, 294, 798, 7817, 324, 281, 1412, 3418, 1038, 7817, 525, 269, 26303, 20719, 1477, 1038, 524, 335, 325, 2433, 1496, 333, 727, 267, 678, 326, 15947, 1038, 7684, 3418, 1038, 1365, 815, 3403, 28361, 333, 14826, 291, 3150, 10937, 20017, 770, 32057, 544, 9820, 19804, 7817, 324, 1496, 338, 14672, 316, 286, 1412, 3418, 825, 2132, 7817, 525, 1948, 4958, 1941, 320, 579, 2742, 30458, 632, 7817, 525, 1106, 3385, 562, 612, 320, 4291, 340, 23843, 5897, 3698, 8544, 743, 541, 18380, 338, 5560, 545, 272, 28504, 545, 273, 2567, 1948, 777, 523, 553, 579, 2742, 1187, 23843, 16948, 8544, 743, 541, 15259, 546, 20601, 5451, 686, 657, 632, 7817, 525, 1884, 525, 552, 1244, 12251, 1477, 825, 546, 545, 272, 269, 26303, 5560, 545, 273, 3418, 825, 2132, 546, 545, 272, 1948, 4958, 1941, 320, 19804, 546, 20601, 5451, 26369, 3331, 374, 333, 4815, 635, 547, 323, 657, 15259, 7817, 525, 5897, 3698, 28040, 2117, 12364, 6600, 32327, 267, 546, 545, 267, 2291, 324, 2567, 1948, 1089, 320, 1187 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17585, 539, 609, 513, 2370, 7601, 267, 19775, 623, 321, 1015, 14870, 290, 5060, 263, 17269, 275, 264, 277, 302, 267, 799, 568, 1625, 19959, 547, 581, 519, 1101, 1747, 2837, 19355, 8833, 21367, 528, 563, 8253, 2406, 267, 6986, 1291, 3404, 344, 19552, 623, 321, 1015, 263, 17269, 275, 264, 277, 302, 31136, 607, 606, 5122, 1202, 15975, 267, 26526, 2705, 593, 546, 14563, 609, 7601, 267, 621, 10525, 930, 267, 855, 711, 782, 267, 540, 519, 19424, 539, 10368, 6323, 17191, 585, 513, 21367, 532, 1587, 855, 2324, 693, 1747, 2837, 543, 19355, 3196, 269, 1677, 24244, 267, 519, 17585, 539, 21367, 532, 3296, 267, 623, 321, 1015, 14870, 290, 5060, 263, 17269, 275, 264, 277, 302, 267, 814, 7601, 19923, 273, 266, 524, 725, 4657, 1472, 476, 1015, 260, 540, 519, 1291, 623, 321, 273, 266, 524, 725, 269, 1358, 2186, 3515, 540, 1463, 5883, 1927, 519, 15279, 21192, 7852, 540, 519, 16358, 4919, 3926, 5985, 269, 634, 1899, 540, 623, 321, 263, 273, 264, 7270, 21078, 538, 513, 8756, 540, 25543, 14366, 19552, 18161, 6246, 268, 606, 687, 269, 634, 12547, 744, 273, 268, 606, 687, 30939, 513, 10116, 540, 519, 6035, 1357, 3817, 538, 513, 8756, 16922, 540, 623, 321, 263, 272, 264, 1357, 4609, 563, 763, 18839, 540, 519, 623, 321, 273, 266, 609, 519, 14320, 4130, 21092, 19923, 273, 266, 524, 725, 5012, 547, 19432, 13251, 8833, 538, 519, 12627, 24775, 540, 623, 321, 1015, 14870, 290, 5060, 263, 17269, 275, 264, 277, 302, 543, 713, 1267, 568, 19424, 539, 547, 581, 519, 3761, 540, 9703, 2566, 25116, 593, 519, 9587, 540, 623, 321, 273, 266, 524, 725, 689, 799, 519, 4055, 2837, 19355, 2566, 21367, 2032, 32338, 919, 563, 763, 7123, 15581, 6310, 6323, 30343, 519, 7271, 540, 713, 4241, 6602, 568, 7294, 543, 711, 855, 4625, 12306, 269, 16684, 569, 267, 519, 5169, 540, 519, 21367, 532, 5767, 538, 713, 1543, 1281, 711, 2408, 547, 2154, 4187, 21057, 6954, 6283, 540, 8424, 540, 9211, 4371, 609, 1142, 824, 676, 21513, 540, 519, 8444, 538, 519, 1570, 267, 12077, 6475, 14428, 517, 517, 3887, 937, 1258, 13745, 23101, 8424, 607, 6045, 676, 519, 645, 731, 8696, 15801, 6016, 4149, 577, 4471, 742, 518, 645, 5425, 2856, 269, 17968, 267, 519, 21367, 2032, 4667, 4824, 4330, 676, 513, 5696, 1074, 2006, 7304, 823, 9168, 8390, 540, 645, 17092, 1523, 5473, 4187, 6954, 540, 5279, 6283, 540, 8424, 540, 6587, 569, 9901, 9475, 543, 741, 21214, 24775, 26445, 23673, 5219, 547, 607, 1979, 1790, 6897, 976, 563, 2414, 1332, 538, 519, 1893, 540, 3334, 7998, 267, 519, 623, 321, 1015, 263, 17269, 275, 264, 277, 302, 3942, 568, 606, 5122, 1202, 15975, 16109, 689, 513, 9505, 7387, 623, 321, 273, 23444, 277, 338, 273, 264, 3059, 12122, 269, 8061, 1355, 540, 8900, 5907, 2829, 585, 5122, 10997, 547, 1847, 896, 519, 3301, 540, 606, 16538, 2009, 267, 519, 6283, 540, 606, 5122, 1459, 538, 623, 321, 1015, 263, 17269, 275, 264, 277, 302, 568, 711, 12492, 762, 267, 543, 519, 6219, 31136, 607, 606, 1202, 15975, 269, 1635, 4657, 930, 540, 519, 623, 321, 273, 23444, 277, 338, 273, 264, 609, 1930, 909, 7387, 19923, 273, 23444, 274, 323, 280, 264, 519, 1671, 5224, 3059, 12122, 540, 623, 321, 1015, 14870, 290, 5060, 263, 17269, 275, 264, 277, 302, 20205, 7477, 656, 5907, 2829, 3850, 519, 3350, 540, 5777, 543, 519, 1587, 4991, 547, 581, 606, 5122, 18364, 563, 1103, 519, 9000, 540, 6418, 2604, 267, 519, 30788, 10647, 623, 321, 1015, 14870, 290, 5060, 263, 17269, 275, 264, 277, 302, 1543, 1131, 581, 17191, 547, 7703, 513, 7293, 23673, 547, 513, 513, 2603, 811, 5150, 30788, 32229, 1448, 856, 267, 4857, 538, 6323, 607, 513, 5374, 15564, 15975, 5912, 267, 538, 799, 519, 1642, 5914, 1242, 9211, 540, 606, 5122, 18364, 1332, 547, 581, 22297, 538, 519, 32229, 1448, 856, 563, 8266, 539, 1934, 267, 519, 2048, 324, 675, 6390, 685, 2034, 568, 602, 3274, 1317, 540, 519, 27069, 4835, 8082, 267, 713, 7293, 23673, 568, 15286, 267, 543, 519, 6219, 3788, 30788, 10647, 269, 9214, 323, 4601, 711, 1152, 1281, 713, 30788, 10647, 2783, 2408, 547, 581, 547, 1397, 930, 540, 519, 15629, 7592, 540, 513, 21367, 528, 855, 621, 568, 13006, 547, 11677, 602, 21367, 2032, 5892, 5018, 1858, 2837, 609, 856, 1022, 4294, 8082, 267, 27109, 513, 2565, 2837, 570, 322, 815, 476, 14096, 9180, 267, 5892, 5018, 799, 621, 786, 1831, 513, 2834, 5122, 18364, 563, 2252, 713, 14634, 6763, 519, 981, 540, 3621, 18643, 267, 3470, 1161, 519, 5855, 827, 9138, 7403, 267, 543, 10525, 2834, 640, 609, 2565, 2417, 26129, 547, 11886, 782, 711, 1175, 930, 540, 519, 14541, 12201, 540, 21367, 2032, 267, 543, 9447, 519, 7601, 1673, 25660, 1291, 3284, 520, 924, 1543, 666, 581, 14475, 538, 519, 1826, 540, 1753, 2837, 19355, 3196, 21367, 532, 12904, 267, 1577, 779, 1118, 1100, 7633, 827, 519, 4222, 22766, 29298, 540, 713, 1310, 538, 513, 10715, 3014, 19145, 6602, 585, 8103, 267, 607, 649, 2119, 547, 7639, 519, 16650, 8594, 540, 4365, 2087, 543, 1158, 2647, 8337, 689, 519, 4797, 946, 540, 8093, 2959, 269, 0, 299, 545, 10234, 4791, 18673, 3220, 269, 15593, 2643, 2098, 20672, 2401, 11828, 519, 5626, 1764, 540, 6144, 531, 10751, 593, 1453, 269, 2701, 11363, 602, 2168, 10751, 568, 23696, 543, 5739, 267, 3056, 547, 2799, 14699, 543, 27136, 17171, 538, 1453, 269, 2098, 20672, 2401, 849, 19528, 602, 1453, 945, 1995, 6144, 531, 10751, 616, 811, 2693, 547, 1020, 2152, 609, 8213, 267, 4965, 267, 543, 29880, 2623, 269, 2368, 8044, 602, 838, 21403, 543, 6144, 531, 10751, 666, 581, 4448, 547, 1252, 1049, 8194, 689, 669, 3430, 601, 8474, 267, 607, 8194, 666, 581, 23876, 538, 938, 6090, 269, 2098, 20672, 2401, 23216, 543, 5267, 602, 1256, 952, 519, 8474, 1995, 568, 5481, 6569, 267, 621, 666, 1869, 1764, 3885, 269, 634, 4901, 8711, 519, 991, 547, 556, 29264, 519, 946, 540, 6144, 531, 10751, 538, 3506, 563, 13126, 281, 519, 294, 26369, 1496, 3367, 2859, 9948, 0, 26872, 19881, 25594, 19314, 1492, 2013, 540, 606, 1418, 20536, 267, 945, 693, 1010, 2669, 729, 4330, 607, 8361, 24729, 1676, 267, 620, 5362, 25306, 267, 12617, 20029, 269, 476, 280, 269, 476, 15876, 271, 10086, 543, 4171, 5067, 267, 1572, 25306, 1152, 267, 729, 19952, 1418, 626, 693, 853, 269, 3627, 781, 5441, 267, 11062, 269, 589, 10656, 2006, 267, 23108, 523, 15414, 267, 585, 1082, 1296, 6280, 17002, 693, 11062, 267, 29842, 2213, 1010, 2012, 547, 22477, 7615, 267, 799, 729, 19952, 28703, 676, 1010, 5067, 267, 13030, 25535, 1211, 540, 10348, 781, 5441, 538, 602, 6280, 269, 1323, 19782, 1190, 16543, 19431, 267, 513, 5065, 540, 5487, 639, 22828, 267, 1572, 3400, 935, 267, 543, 945, 15991, 12038, 2296, 267, 12261, 1010, 4608, 1926, 3943, 2012, 267, 799, 1906, 1223, 24969, 10086, 883, 12722, 267, 799, 2012, 4805, 729, 1031, 676, 1010, 18939, 563, 2005, 568, 5631, 538, 5507, 543, 538, 513, 1906, 1804, 5010, 4025, 267, 602, 713, 1390, 2487, 27614, 540, 30707, 568, 1336, 269, 634, 1920, 562, 32393, 1155, 540, 2197, 13102, 814, 855, 5594, 4957, 2094, 519, 4838, 540, 476, 12739, 279, 269, 634, 2959, 540, 2123, 1147, 12849, 2429, 782, 4789, 267, 4884, 543, 2197, 267, 616, 267, 2705, 267, 607, 649, 723, 2938, 267, 3875, 543, 9867, 282, 543, 519, 12947, 13895, 5169, 540, 971, 1147, 12849, 14687, 538, 930, 4110, 609, 602, 540, 519, 2296, 1004, 269, 3509, 5553, 723, 5293, 2094, 519, 3504, 22374, 267, 543, 519, 811, 2487, 590, 19414, 1147, 12849, 267, 1185, 8449, 1831, 22420, 282, 543, 4352, 4540, 1147, 12849, 949, 1869, 5815, 267, 547, 519, 10995, 267, 513, 4763, 540, 6728, 543, 5169, 1851, 741, 1101, 581, 31600, 267, 2943, 602, 4763, 814, 1279, 30403, 547, 581, 540, 1022, 4052, 2956, 563, 2171, 26845, 602, 9444, 942, 6862, 2230, 786, 1450, 721, 1631, 547, 5635, 519, 1686, 540, 1147, 12849, 538, 8581, 543, 538, 519, 13677, 1164, 4133, 267, 609, 602, 540, 1147, 12849, 538, 4789, 282, 7654, 649, 949, 9888, 547, 519, 1641, 693, 930, 2104, 942, 269, 769, 519, 29285, 267, 538, 14656, 938, 5619, 540, 519, 1292, 15523, 540, 519, 2296, 1920, 562, 32393, 1155, 267, 649, 3112, 948, 4743, 602, 649, 723, 1044, 267, 547, 930, 6708, 267, 15663, 519, 1585, 2959, 689, 799, 519, 17454, 306, 19414, 5198, 814, 4607, 922, 2407, 543, 9921, 2208, 267, 543, 814, 1044, 13087, 547, 979, 8521, 9518, 1359, 543, 547, 20630, 513, 1007, 21571, 543, 513, 7013, 1158, 269, 769, 519, 1576, 540, 1776, 2540, 602, 1390, 5198, 267, 14178, 519, 25736, 540, 3540, 5314, 543, 18413, 2386, 13210, 540, 1863, 5238, 538, 1007, 10600, 267, 786, 723, 12630, 972, 1169, 1362, 540, 1147, 12849, 602, 3576, 3597, 538, 4789, 1063, 519, 21037, 540, 476, 11793, 277, 543, 519, 4838, 540, 476, 12739, 279, 269, 6270, 4408, 723, 2907, 3262, 609, 519, 2208, 540, 519, 2136, 2276, 540, 3345, 3013, 267, 689, 519, 853, 269, 18039, 547, 519, 13323, 540, 6792, 267, 689, 519, 9533, 547, 519, 7414, 7909, 282, 543, 789, 786, 4166, 581, 886, 4310, 2429, 519, 8241, 11782, 269, 1284, 15991, 991, 23294, 1047, 547, 938, 3988, 585, 18136, 873, 267, 607, 649, 723, 2944, 267, 547, 5619, 538, 930, 1469, 519, 9867, 2959, 540, 602, 2296, 1920, 562, 32393, 1155, 799, 568, 30758, 547, 3262, 936, 865, 1804, 513, 851, 540, 519, 2898, 1158, 563, 11286, 269, 10001, 269, 476, 272, 269, 7797, 593, 22518, 543, 20121, 3482, 5753, 269, 3474, 331, 269, 9791, 3883, 563, 273, 269, 7797, 593, 22518, 543, 20121, 3482, 5753, 269, 3474, 331, 269, 9791, 3883, 269, 476, 6977, 274, 563, 274, 269, 20450, 585, 519, 1732, 5516, 543, 26746, 540, 8479, 5510, 11367, 269, 715, 657, 269, 476, 26801, 269, 543, 476, 29344, 269, 18103, 1229, 547, 581, 9102, 267, 476, 6977, 275, 269, 476, 275, 269, 21637, 2218, 12140, 269, 1635, 7323, 27334, 303, 7728, 2207, 563, 276, 269, 19565, 5548, 22055, 757, 269, 1635, 7323, 27334, 303, 7728, 2207, 269, 5507, 281, 476, 6977, 274, 269, 476, 277, 269, 7797, 540, 513, 10985, 4371, 693, 27257, 630, 13356, 269, 476, 6977, 272, 264, 593, 519, 13595, 540, 16473, 633, 543, 21637, 2218, 12140, 563, 278, 269, 681, 1952, 677, 1147, 8350, 18264, 629, 5894, 572, 906, 546, 262, 19733, 4856, 14431, 16279, 632, 14247, 17480, 5489, 523, 639, 269, 3474, 631, 269, 1546, 623, 8991, 22218, 312, 269, 8303, 281, 476, 6977, 275, 269, 476, 279, 269, 9615, 540, 22518, 5753, 269, 7797, 540, 519, 5980, 585, 519, 14821, 540, 519, 4521, 269, 5507, 281, 476, 6977, 275, 563, 280, 269, 10749, 593, 19565, 5548, 22055, 1890, 269, 5507, 281, 476, 6977, 275, 563, 27845, 2487, 7089, 649, 2919, 693, 930, 3259, 513, 1062, 585, 519, 2126, 543, 12871, 540, 519, 2937, 7803, 2551, 267, 676, 519, 10073, 543, 3608, 11268, 540, 799, 649, 941, 521, 1481, 710, 2614, 547, 4126, 585, 519, 7525, 5786, 540, 602, 2551, 607, 513, 2027, 1362, 282, 268, 1721, 519, 11808, 267, 602, 568, 267, 540, 519, 2043, 21882, 621, 547, 2463, 762, 2486, 543, 9237, 2872, 267, 896, 1978, 2175, 267, 543, 538, 930, 10116, 540, 519, 1158, 269, 1284, 723, 1631, 547, 1289, 3007, 267, 607, 13713, 607, 519, 1888, 786, 1450, 267, 547, 519, 1448, 799, 267, 538, 938, 3105, 1957, 267, 649, 11603, 585, 5094, 7156, 267, 910, 1492, 7154, 267, 12077, 267, 540, 5969, 1055, 602, 3586, 3761, 540, 11174, 32592, 757, 267, 676, 799, 519, 2146, 540, 2937, 20737, 568, 17506, 6053, 13859, 269, 898, 1131, 581, 513, 27945, 543, 11995, 11668, 547, 581, 26004, 1055, 610, 11324, 5224, 519, 3984, 540, 9672, 25476, 267, 8259, 649, 1223, 693, 519, 1482, 942, 2638, 610, 6861, 519, 2707, 950, 576, 16461, 1080, 616, 5662, 569, 10296, 538, 547, 6445, 519, 7477, 17473, 2813, 269, 1284, 1590, 15063, 519, 1762, 267, 607, 1134, 607, 6963, 543, 28099, 655, 519, 2025, 563, 2690, 811, 982, 1079, 5481, 268, 1197, 2094, 267, 8197, 267, 3007, 1185, 1044, 32570, 539, 543, 8086, 26901, 539, 2390, 519, 2339, 267, 7224, 25960, 540, 30898, 1663, 660, 539, 2283, 2225, 2479, 1095, 3660, 936, 606, 2667, 1125, 267, 1100, 7395, 626, 3433, 540, 8723, 4606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 523, 8672, 623, 2075, 15664, 630, 4198, 272, 1070, 513, 3297, 7308, 27214, 25333, 4367, 547, 519, 3280, 32331, 543, 6537, 6823, 1922, 559, 332, 14318, 540, 4670, 22082, 22374, 32511, 13873, 267, 689, 519, 2817, 17912, 8274, 540, 4516, 269, 4256, 1309, 1632, 585, 519, 4670, 912, 4415, 606, 14251, 24005, 646, 1101, 9727, 1018, 5432, 4992, 1413, 899, 593, 519, 5496, 282, 1985, 267, 875, 3280, 5546, 909, 593, 513, 4670, 779, 3280, 3950, 282, 543, 1287, 1018, 10991, 4992, 3280, 899, 950, 6537, 2047, 593, 4670, 269, 901, 4480, 568, 849, 7152, 538, 667, 1824, 543, 10753, 3591, 563, 4517, 2630, 267, 1776, 22488, 1383, 540, 32511, 13873, 779, 960, 267, 667, 1824, 630, 3707, 271, 1070, 799, 2882, 4992, 602, 949, 581, 2808, 554, 559, 13895, 547, 1762, 1004, 912, 1103, 519, 570, 16775, 4306, 3381, 21517, 281, 1548, 1281, 3280, 1413, 899, 286, 9578, 267, 4585, 811, 3308, 3206, 7044, 267, 543, 811, 14318, 960, 676, 22374, 32511, 13873, 267, 1519, 4425, 690, 773, 667, 22259, 267, 513, 5172, 563, 1607, 5680, 2421, 8366, 20421, 3381, 4015, 6818, 547, 948, 3610, 267, 7172, 12579, 267, 543, 3885, 8141, 4819, 4898, 543, 7279, 269, 570, 16775, 4306, 2934, 21273, 267, 811, 6209, 1543, 982, 1018, 781, 2356, 6039, 909, 676, 13334, 781, 6620, 267, 543, 7586, 5809, 519, 15888, 945, 1118, 602, 1543, 563, 10501, 730, 267, 4819, 7888, 267, 10446, 1790, 21242, 269, 8081, 713, 5692, 676, 4742, 513, 24569, 4759, 2221, 269, 0, 288, 3101, 568, 2404, 609, 513, 15262, 1644, 547, 513, 24197, 8919, 269, 634, 26503, 616, 519, 1648, 6721, 9988, 540, 519, 2281, 563, 10908, 583, 987, 7748, 568, 513, 1360, 2500, 15934, 519, 1560, 568, 1818, 267, 543, 621, 5540, 513, 2603, 540, 3252, 563, 2026, 649, 1205, 4587, 267, 649, 3132, 1447, 22965, 987, 7748, 269, 634, 1739, 1353, 11567, 519, 1198, 540, 22965, 987, 7748, 10638, 9236, 11361, 22965, 987, 7748, 28119, 5171, 609, 1762, 1875, 28119, 2043, 630, 301, 7666, 344, 523, 546, 267, 1696, 620, 1421, 476, 1001, 274, 1916, 763, 3173, 1336, 602, 5312, 22965, 987, 7748, 10638, 538, 11361, 3425, 729, 2404, 609, 513, 6175, 540, 519, 15262, 1644, 547, 24197, 12889, 543, 7378, 4187, 269, 1358, 849, 1336, 602, 891, 12889, 941, 20328, 609, 11808, 540, 519, 22965, 987, 7748, 563, 763, 3173, 6700, 602, 7110, 532, 609, 840, 15479, 832, 585, 22965, 987, 7748, 1223, 1683, 1713, 10894, 2640, 563, 2171, 1631, 849, 917, 602, 7110, 532, 609, 606, 2500, 1106, 540, 22965, 987, 7748, 899, 590, 5025, 322, 25485, 3794, 583, 987, 7748, 568, 811, 2500, 982, 3246, 840, 15479, 832, 563, 301, 7666, 344, 523, 667, 267, 28932, 517, 20793, 267, 4414, 11276, 966, 307, 267, 30781, 1446, 345, 12601, 267, 1530, 330, 9618, 681, 309, 269, 6764, 8529, 24197, 9761, 3679, 16617, 543, 7378, 4187, 538, 10172, 281, 3209, 8825, 1909, 540, 22965, 987, 7748, 269, 28544, 8426, 269, 476, 1001, 274, 9947, 282, 1321, 263, 274, 2567, 25870, 268, 1839, 563, 10908, 583, 987, 7748, 568, 707, 3119, 8878, 1996, 10172, 563, 2026, 649, 1205, 4587, 267, 938, 2281, 2253, 547, 6336, 741, 2702, 547, 7816, 2933, 269, 1284, 1118, 1447, 22965, 987, 7748, 267, 543, 649, 2965, 991, 811, 269, 769, 1978, 2175, 267, 7820, 1004, 949, 991, 811, 22965, 987, 7748, 607, 1134, 269, 0, 1432, 1281, 1250, 3727, 2681, 1611, 888, 288, 3727, 630, 928, 12858, 264, 2356, 10953, 1310, 519, 2960, 568, 6534, 547, 6505, 7943, 799, 5540, 519, 2067, 14264, 514, 543, 519, 14264, 14231, 602, 1118, 909, 519, 2960, 23416, 269, 634, 8912, 6364, 568, 602, 519, 2960, 512, 753, 610, 3587, 18632, 269, 1879, 14264, 14231, 630, 335, 580, 618, 268, 14127, 2281, 264, 1332, 1927, 538, 513, 12440, 1107, 713, 568, 1572, 513, 3727, 269, 631, 3421, 616, 5393, 1455, 543, 666, 1020, 9170, 593, 707, 1560, 267, 1519, 707, 21435, 267, 818, 5404, 1080, 267, 896, 707, 18969, 267, 543, 1063, 707, 11263, 543, 19462, 269, 4107, 1004, 723, 1063, 476, 1015, 268, 2004, 18253, 593, 741, 1560, 282, 1082, 540, 891, 1020, 676, 2085, 476, 2004, 269, 634, 18253, 593, 707, 2960, 616, 2356, 20027, 11486, 523, 793, 543, 513, 3339, 5114, 547, 3141, 4598, 269, 27824, 569, 267, 789, 1831, 29406, 269, 9861, 3222, 540, 2242, 538, 707, 18253, 543, 824, 6477, 7757, 15649, 568, 1271, 547, 16326, 2960, 2860, 267, 2523, 23872, 27441, 563, 288, 3727, 568, 2356, 6960, 538, 2681, 543, 814, 513, 2582, 3159, 269, 2290, 540, 519, 1034, 6654, 543, 2653, 547, 5544, 4191, 602, 707, 3727, 1522, 581, 693, 1981, 568, 922, 2681, 269, 1403, 621, 568, 6366, 543, 1256, 538, 3159, 1107, 972, 568, 4440, 4986, 547, 5855, 827, 269, 1809, 952, 596, 5469, 1079, 610, 811, 4778, 1369, 519, 3727, 610, 1472, 922, 8728, 267, 952, 596, 5469, 1973, 610, 649, 9429, 267, 621, 568, 942, 547, 723, 621, 13761, 676, 707, 4387, 269, 27413, 596, 1522, 2503, 547, 1294, 2039, 689, 513, 4158, 3109, 998, 547, 1114, 18707, 540, 6960, 543, 1256, 533, 3855, 267, 21462, 543, 556, 1091, 269, 5901, 538, 2247, 18253, 949, 1689, 610, 28201, 2476, 936, 942, 269, 2060, 17441, 2242, 538, 18273, 543, 6379, 267, 789, 949, 1831, 18632, 543, 3677, 563, 288, 3727, 593, 707, 2960, 602, 568, 1114, 538, 2681, 547, 824, 18253, 949, 849, 581, 513, 9963, 1129, 269, 901, 568, 2523, 3020, 952, 621, 568, 3677, 543, 814, 1447, 4214, 1472, 922, 10665, 269, 769, 713, 2013, 267, 1256, 952, 621, 814, 1175, 835, 2681, 267, 596, 1058, 798, 513, 2960, 2860, 2638, 269, 1403, 707, 3727, 814, 1769, 2989, 610, 1831, 18632, 936, 942, 267, 713, 949, 581, 606, 16315, 602, 621, 568, 4657, 269, 4495, 1586, 267, 596, 1058, 723, 713, 13761, 856, 269, 901, 568, 950, 2348, 513, 942, 2000, 8985, 8666, 4015, 1131, 2731, 948, 563, 1607, 2376, 12649, 676, 3220, 269, 13343, 20568, 267, 11022, 543, 15516, 269, 13891, 1684, 1961, 344, 267, 6673, 305, 301, 563, 2467, 779, 4986, 811, 1271, 982, 938, 1434, 1072, 1107, 602, 779, 938, 9030, 3854, 10697, 563, 258, 4364, 673, 1948, 974, 548, 8234, 1948, 25390, 665, 454, 16655, 30093, 11773, 609, 654, 1122, 990, 344, 281, 634, 11588, 540, 11554, 609, 513, 4144, 2045, 1014, 267, 9608, 21541, 518, 267, 543, 10076, 2657, 3038, 3187, 454, 18550, 476, 736, 267, 476, 1708, 274, 454, 1432, 568, 23520, 11391, 545, 543, 2052, 621, 6435, 609, 13379, 13809, 888, 18550, 476, 736, 267, 476, 1708, 274, 0, 8139, 513, 18696, 16847, 2060, 6201, 543, 11473, 5484, 577, 19098, 454, 22428, 6034, 24822, 17188, 1269, 272, 267, 1220, 593, 5412, 476, 272, 585, 513, 3670, 18881, 6142, 14167, 593, 922, 6765, 6174, 269, 9737, 5412, 476, 272, 543, 5412, 476, 4029, 267, 1269, 1220, 4502, 540, 6142, 14167, 568, 968, 4310, 909, 892, 610, 968, 10339, 2231, 6100, 634, 1163, 1600, 2179, 786, 581, 4080, 607, 15928, 5890, 1619, 593, 5412, 779, 4747, 3948, 563, 268, 20504, 32259, 543, 5491, 6486, 609, 2922, 267, 5150, 267, 543, 10375, 32237, 10298, 689, 932, 848, 9170, 596, 798, 1870, 1107, 2228, 267, 538, 3613, 648, 267, 543, 593, 7308, 30559, 563, 268, 7767, 832, 267, 1870, 5411, 267, 543, 2272, 1218, 666, 946, 713, 1344, 547, 2285, 513, 1433, 1871, 547, 519, 1870, 267, 855, 621, 666, 581, 1031, 585, 865, 1454, 811, 563, 268, 16296, 267, 2030, 267, 543, 3937, 616, 15889, 7221, 602, 616, 1031, 538, 2754, 4238, 543, 4397, 547, 581, 1031, 936, 811, 982, 835, 16642, 1974, 563, 268, 589, 3666, 6656, 2079, 2337, 596, 1205, 513, 2631, 540, 707, 1699, 7555, 267, 543, 519, 1101, 1900, 568, 547, 1413, 693, 707, 3666, 9212, 689, 1079, 610, 811, 8051, 5712, 563, 268, 1677, 5173, 661, 4916, 267, 596, 1491, 519, 2698, 2121, 4747, 543, 7941, 621, 676, 519, 1297, 540, 14222, 8843, 540, 519, 2754, 563, 268, 590, 13446, 16921, 2443, 596, 666, 1406, 1491, 856, 513, 10211, 543, 1118, 707, 2671, 540, 519, 2754, 811, 3407, 563, 13436, 547, 519, 20677, 15048, 267, 3600, 1889, 5663, 779, 18696, 6656, 666, 581, 12290, 998, 513, 3099, 540, 12753, 543, 3252, 269, 2755, 5491, 3664, 1058, 711, 581, 1759, 593, 519, 2079, 540, 513, 3666, 6656, 610, 4747, 3948, 4805, 267, 621, 1281, 2709, 5813, 547, 1397, 2489, 1870, 1072, 269, 4107, 1875, 268, 9690, 7221, 4080, 593, 513, 3666, 6656, 616, 3254, 609, 28595, 269, 4595, 782, 7221, 616, 6592, 593, 519, 3666, 6656, 693, 519, 3902, 596, 6976, 585, 873, 267, 596, 723, 547, 2272, 585, 519, 5786, 540, 741, 1871, 936, 942, 563, 1432, 779, 3769, 538, 513, 3666, 6656, 888, 2171, 786, 1865, 519, 5686, 540, 20824, 2663, 593, 538, 519, 3184, 269, 898, 779, 4376, 602, 786, 1651, 584, 606, 13258, 610, 1942, 538, 519, 2104, 2443, 513, 7963, 610, 2179, 7640, 539, 568, 513, 15668, 269, 5637, 1699, 543, 1875, 268, 9690, 20824, 616, 3769, 538, 519, 20824, 3296, 540, 519, 3666, 6656, 269, 7767, 31638, 11225, 606, 10697, 607, 968, 12179, 2251, 540, 1871, 602, 666, 581, 10736, 883, 6666, 1848, 769, 824, 1913, 267, 606, 10697, 2488, 2804, 1871, 547, 4213, 543, 3906, 269, 769, 519, 10697, 6810, 5018, 1657, 267, 519, 6589, 616, 7396, 538, 519, 27312, 1931, 540, 741, 28880, 4586, 268, 21546, 779, 1970, 1942, 16468, 4566, 616, 3710, 585, 596, 543, 707, 5520, 563, 268, 4855, 856, 2436, 707, 1870, 568, 14718, 585, 713, 5046, 268, 866, 1870, 3454, 5491, 563, 268, 13574, 619, 685, 9698, 267, 849, 1634, 607, 23265, 685, 9698, 267, 3335, 4016, 547, 4376, 602, 12851, 547, 519, 5411, 540, 513, 1870, 1310, 1022, 20824, 616, 20039, 585, 563, 268, 32439, 9796, 1963, 267, 610, 6673, 267, 568, 519, 2179, 513, 2754, 7640, 525, 14273, 585, 3688, 610, 2533, 12349, 593, 5491, 563, 268, 901, 9356, 519, 1249, 602, 9546, 27926, 568, 513, 2462, 1532, 2135, 10685, 518, 609, 922, 1082, 8637, 543, 2228, 20106, 7740, 6006, 539, 609, 5215, 540, 3688, 4712, 585, 9042, 563, 268, 634, 1883, 1448, 568, 602, 891, 666, 3335, 581, 11593, 10736, 883, 6666, 519, 2754, 666, 946, 563, 14483, 2667, 1115, 568, 606, 2272, 593, 513, 3666, 6656, 602, 4564, 519, 1871, 540, 782, 7221, 602, 1223, 581, 10736, 883, 6666, 1369, 835, 1032, 269, 2060, 513, 3152, 1620, 540, 513, 3666, 6656, 543, 875, 621, 568, 9112, 267, 649, 666, 2689, 930, 2553, 1031, 547, 5659, 519, 1344, 8659, 1369, 513, 3666, 6656, 269, 898, 568, 1271, 547, 4063, 602, 513, 3666, 6656, 568, 1175, 513, 25135, 14653, 540, 519, 2754, 779, 2883, 2990, 693, 513, 2582, 1448, 538, 942, 269, 1403, 596, 616, 513, 2671, 14516, 540, 513, 2754, 610, 513, 1761, 20090, 267, 621, 568, 1271, 547, 1174, 875, 519, 3666, 6656, 568, 11295, 267, 875, 547, 1224, 835, 267, 543, 519, 9238, 540, 875, 547, 5659, 621, 269, 9149, 3809, 4397, 547, 581, 12306, 610, 6976, 1369, 835, 1032, 610, 835, 5665, 4783, 540, 519, 1870, 267, 627, 31295, 568, 3152, 267, 616, 9286, 607, 1699, 20824, 563, 20118, 267, 3666, 6656, 616, 7396, 538, 519, 1931, 540, 741, 10862, 585, 8569, 269, 769, 2883, 8989, 267, 519, 2474, 968, 9690, 892, 543, 968, 12061, 268, 9690, 892, 616, 24190, 609, 519, 2474, 968, 26211, 3856, 892, 543, 968, 14075, 3856, 2223, 6606, 267, 543, 616, 1031, 30430, 269, 8786, 267, 519, 3666, 6656, 786, 2141, 3666, 2094, 519, 7127, 585, 23265, 685, 9698, 786, 2141, 581, 519, 14230, 610, 3017, 1063, 513, 2754, 779, 2698, 7221, 543, 922, 2698, 20824, 269, 1403, 513, 2754, 779, 7221, 616, 4502, 811, 982, 922, 20824, 267, 519, 1267, 568, 2318, 2121, 9698, 563, 1607, 849, 1797, 519, 23265, 685, 7482, 798, 711, 4866, 547, 519, 2754, 607, 621, 1318, 2685, 12851, 547, 922, 23265, 9957, 9747, 689, 519, 2754, 779, 5133, 267, 519, 23265, 685, 7482, 616, 606, 17185, 2628, 762, 547, 23265, 9957, 9747, 713, 568, 3254, 593, 519, 20824, 2427, 540, 519, 3666, 6656, 269, 13574, 619, 685, 9698, 4016, 547, 519, 2724, 602, 519, 5411, 540, 519, 1870, 8385, 16539, 269, 9521, 20824, 267, 713, 2724, 3622, 3884, 1406, 4397, 547, 581, 6976, 1394, 4628, 585, 930, 942, 267, 2693, 2394, 519, 1870, 568, 4421, 547, 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 ]
[ 10616, 543, 1374, 6098, 7459, 269, 1635, 6908, 23164, 3157, 267, 4213, 1419, 1294, 2799, 4398, 267, 4389, 3790, 267, 543, 4824, 6075, 9547, 780, 322, 269, 5303, 1107, 28038, 3209, 2645, 610, 3301, 1949, 949, 13173, 930, 2242, 269, 1717, 267, 8806, 16459, 8242, 2029, 1281, 711, 10018, 1967, 269, 16949, 1590, 2049, 16900, 2066, 13623, 267, 8506, 6297, 4058, 543, 11056, 269, 3958, 267, 5571, 1489, 543, 3593, 2069, 2327, 1279, 3856, 23812, 540, 6639, 7760, 780, 4089, 476, 274, 281, 7464, 28131, 6201, 540, 7827, 5004, 31173, 692, 2414, 9414, 519, 1764, 540, 1689, 2359, 17874, 2417, 267, 1934, 616, 1079, 11121, 2013, 2090, 1384, 272, 269, 589, 1804, 10685, 518, 4941, 547, 3986, 922, 2228, 10918, 3760, 676, 6220, 21284, 4641, 2934, 269, 20876, 519, 6988, 540, 713, 20089, 267, 789, 21534, 513, 17874, 6109, 21751, 538, 3059, 7004, 269, 8625, 267, 789, 25282, 513, 3102, 1544, 5473, 9441, 11925, 267, 27952, 4152, 11775, 267, 543, 6725, 11044, 547, 3895, 519, 1007, 4183, 269, 1306, 513, 1267, 267, 519, 10685, 518, 4810, 2362, 6455, 267, 3152, 6075, 6278, 267, 543, 2318, 5955, 689, 3755, 563, 273, 269, 589, 29505, 4871, 8179, 6351, 538, 26399, 1896, 6237, 13646, 1739, 606, 11601, 269, 13760, 2406, 267, 19597, 908, 4238, 4299, 5215, 540, 5520, 5001, 269, 2060, 5583, 689, 513, 1689, 2359, 17874, 6109, 267, 519, 4871, 2919, 513, 15826, 5610, 4640, 10704, 1472, 12001, 2792, 267, 3444, 1922, 23341, 5698, 267, 543, 2686, 8417, 269, 11086, 267, 519, 1184, 3366, 547, 2799, 10512, 5348, 25489, 267, 6793, 7817, 3347, 267, 543, 23518, 5234, 2818, 11235, 547, 9784, 2104, 10124, 780, 1103, 3932, 267, 1175, 607, 9845, 991, 942, 547, 3082, 547, 1007, 12485, 610, 3652, 267, 4213, 1590, 5402, 4383, 13289, 547, 8853, 538, 2221, 781, 6385, 9687, 19458, 269, 3414, 7580, 4058, 267, 28450, 5718, 267, 543, 4274, 15360, 267, 3549, 666, 6707, 2936, 6209, 2242, 602, 9797, 1860, 741, 5377, 1899, 543, 3565, 547, 1279, 3856, 2208, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 513, 2247, 585, 12550, 543, 2890, 9382, 286, 2311, 13527, 2160, 267, 596, 666, 7118, 606, 9297, 4110, 602, 786, 4001, 596, 547, 1589, 9691, 543, 25401, 827, 519, 4346, 269, 634, 5441, 540, 27565, 8551, 630, 290, 6369, 264, 814, 606, 13188, 536, 659, 3559, 832, 543, 513, 6310, 13188, 536, 659, 3559, 832, 1247, 519, 16737, 3427, 540, 6355, 814, 922, 1378, 9297, 2101, 269, 4841, 666, 849, 1205, 513, 2212, 1376, 593, 513, 4487, 779, 4110, 609, 519, 476, 275, 266, 272, 1982, 18934, 538, 26549, 6030, 267, 2263, 1382, 3255, 267, 5965, 585, 10927, 960, 610, 2070, 811, 15938, 2200, 563, 8489, 2052, 513, 11683, 538, 13188, 6875, 1411, 888, 24836, 706, 919, 609, 606, 15938, 2101, 538, 13188, 267, 2436, 621, 779, 519, 12666, 6575, 610, 519, 1870, 2101, 267, 616, 5423, 585, 513, 3376, 8552, 540, 6009, 538, 1870, 267, 2804, 17874, 543, 2229, 269, 13188, 6030, 11168, 1210, 606, 1931, 569, 1259, 540, 3206, 827, 543, 6061, 2042, 602, 8451, 689, 2348, 547, 1118, 5079, 538, 3871, 602, 616, 3564, 606, 1367, 779, 1463, 1995, 269, 634, 7493, 7744, 1983, 602, 616, 533, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27087, 5004, 31173, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 31173, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 589, 1434, 24983, 666, 581, 519, 23698, 3364, 547, 1174, 950, 4974, 513, 4914, 1893, 269, 1306, 513, 2487, 2376, 538, 634, 26851, 11356, 7074, 267, 476, 834, 2467, 781, 811, 547, 1620, 513, 24983, 538, 513, 4914, 1893, 982, 1620, 6863, 543, 8239, 1701, 9861, 2111, 547, 1174, 2199, 24668, 568, 1419, 2938, 607, 606, 6909, 4672, 22249, 6033, 585, 513, 1893, 15226, 11235, 547, 1106, 17052, 609, 5065, 10529, 269, 834, 296, 2141, 5433, 602, 9644, 729, 513, 18109, 567, 602, 594, 1223, 2760, 2736, 998, 2437, 670, 20087, 12891, 2917, 267, 513, 1857, 1894, 2272, 9614, 538, 5507, 267, 945, 2899, 6594, 5053, 538, 28925, 269, 570, 1245, 634, 26851, 267, 834, 296, 1223, 2760, 3717, 547, 1004, 593, 519, 1482, 1377, 607, 594, 1131, 3717, 547, 513, 5065, 2296, 10584, 269, 594, 3592, 3357, 2066, 607, 3833, 513, 19309, 1268, 1317, 782, 594, 1223, 2911, 827, 729, 5013, 1701, 769, 1249, 267, 1034, 540, 519, 942, 267, 24668, 616, 1152, 16168, 585, 1004, 945, 2671, 513, 2686, 4282, 610, 1174, 9644, 538, 519, 1482, 1259, 269, 4457, 12677, 635, 539, 1014, 15608, 654, 784, 1336, 713, 856, 1101, 11804, 269, 1261, 1185, 6913, 5458, 1967, 538, 519, 2475, 267, 855, 950, 646, 8120, 547, 3624, 538, 476, 1220, 279, 585, 1010, 1101, 2661, 1397, 538, 19864, 267, 646, 4362, 602, 1004, 4769, 1405, 1589, 1010, 269, 4457, 24668, 941, 607, 16168, 607, 1010, 2296, 3283, 269, 769, 5245, 267, 29285, 1082, 30707, 1265, 1620, 24668, 827, 5026, 547, 581, 519, 7887, 15677, 269, 834, 763, 23698, 24668, 616, 1644, 547, 24821, 2421, 1317, 594, 917, 4986, 827, 24821, 2421, 2437, 1767, 9253, 1328, 6970, 334, 267, 945, 729, 2899, 513, 2875, 538, 5245, 269, 834, 2691, 594, 4862, 24668, 594, 4769, 1405, 1205, 267, 594, 1175, 561, 13774, 1117, 2059, 1701, 769, 519, 824, 1079, 2101, 2296, 18702, 2477, 267, 519, 2631, 540, 9644, 568, 849, 1114, 269, 3703, 635, 539, 1014, 17363, 623, 1122, 326, 11099, 602, 1247, 2826, 976, 946, 20451, 1532, 553, 1227, 267, 6031, 1945, 789, 1810, 1405, 1611, 547, 1118, 513, 24983, 3887, 854, 1554, 267, 1004, 538, 519, 2475, 1810, 1405, 1294, 519, 1448, 540, 1210, 621, 865, 1419, 269, 834, 23873, 24668, 4043, 547, 581, 811, 11029, 543, 4158, 267, 1247, 1977, 24668, 616, 811, 6654, 609, 741, 10096, 267, 513, 3787, 899, 4892, 2933, 2437, 646, 5206, 538, 634, 26851, 269, 15608, 654, 784, 568, 1031, 607, 606, 1383, 547, 567, 9041, 476, 4586, 288, 269, 1397, 602, 972, 616, 2686, 3604, 538, 9644, 454, 289, 269, 6961, 602, 621, 666, 581, 2352, 547, 14377, 24668, 454, 290, 269, 2303, 602, 19636, 1004, 567, 723, 1100, 2042, 538, 1818, 1004, 14902, 454, 291, 269, 1397, 602, 519, 11589, 2702, 5540, 519, 2631, 540, 9644, 454, 12585, 281, 589, 0, 9223, 281, 21469, 590, 5424, 5833, 513, 2475, 14664, 538, 4864, 476, 6977, 272, 585, 1010, 9283, 540, 799, 1826, 540, 3684, 888, 12585, 281, 2780, 2213, 26095, 3684, 0, 297, 27889, 9445, 14126, 1259, 811, 827, 741, 1560, 538, 1857, 982, 26366, 996, 267, 1317, 26366, 996, 729, 2141, 1582, 18101, 1211, 269, 0, 9223, 281, 4107, 1977, 1053, 723, 547, 2161, 1434, 25742, 547, 16681, 567, 5613, 891, 2395, 269, 769, 1153, 14060, 2066, 519, 2197, 267, 14949, 5613, 899, 13212, 543, 24453, 723, 3144, 741, 1747, 269, 834, 10144, 616, 12922, 547, 6108, 1631, 1701, 1767, 27692, 5651, 992, 267, 945, 22595, 513, 21489, 543, 1688, 321, 698, 4558, 269, 834, 5445, 1810, 1405, 917, 1018, 519, 2104, 786, 3142, 2668, 4438, 519, 2883, 6433, 476, 2073, 1896, 540, 519, 2197, 781, 7887, 8492, 723, 1044, 7142, 547, 6133, 610, 2673, 269, 901, 814, 1500, 6266, 540, 4892, 12922, 547, 4444, 7199, 1919, 269, 634, 6433, 3459, 2063, 1032, 269, 20226, 567, 1589, 621, 729, 1317, 2475, 8492, 22937, 2724, 1932, 3362, 269, 7831, 1032, 513, 2603, 540, 1004, 543, 3549, 267, 945, 22666, 2724, 267, 1336, 2933, 8572, 547, 2628, 621, 1394, 269, 901, 2451, 519, 8492, 267, 607, 1134, 607, 519, 1004, 945, 2322, 741, 2724, 538, 519, 8492, 267, 1510, 2724, 269, 4595, 519, 8492, 22666, 2724, 1063, 2933, 543, 1256, 2066, 10665, 476, 2073, 519, 2898, 1158, 729, 538, 8373, 269, 901, 3923, 519, 2475, 2229, 8815, 593, 513, 1269, 10384, 5479, 1544, 547, 2119, 547, 4688, 519, 2883, 2344, 269, 1809, 1100, 835, 568, 2386, 2436, 621, 786, 948, 610, 711, 269, 7831, 3018, 27504, 689, 476, 736, 2477, 16219, 547, 960, 1927, 547, 1265, 513, 1259, 856, 540, 519, 2724, 8373, 269, 3245, 519, 8574, 267, 649, 1869, 1810, 1405, 917, 567, 9041, 476, 4586, 288, 269, 950, 519, 2883, 6433, 3459, 454, 289, 269, 950, 519, 2883, 6433, 786, 1439, 454, 290, 269, 1946, 930, 540, 519, 2475, 8492, 6806, 454, 291, 269, 2436, 519, 6433, 814, 3262, 547, 824, 2477, 454, 12585, 281, 645, 0, 9223, 281, 834, 5804, 799, 476, 4198, 271, 4670, 7574, 1281, 519, 5152, 834, 257, 296, 20944, 519, 6129, 538, 519, 27450, 3269, 2097, 24350, 12585, 281, 3045, 773, 1205, 707, 7784, 0, 15933, 543, 9373, 8877, 281, 1215, 547, 1265, 513, 2022, 13892, 269, 25873, 519, 4950, 585, 2022, 13892, 1413, 909, 2533, 269, 4495, 596, 1265, 835, 267, 4945, 593, 519, 3095, 543, 979, 547, 741, 1753, 2985, 907, 3619, 547, 834, 1265, 513, 2022, 13892, 834, 4092, 593, 519, 10624, 269, 476, 8437, 593, 834, 1265, 513, 2022, 13892, 269, 834, 713, 786, 1491, 596, 547, 513, 1007, 1357, 2985, 269, 0, 9223, 281, 1548, 568, 519, 2012, 540, 519, 3703, 5993, 1402, 2575, 17758, 267, 602, 616, 4371, 538, 5988, 1142, 1032, 888, 12585, 281, 476, 3192, 278, 12766, 17758, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 3689, 267, 1373, 606, 12146, 540, 10610, 25169, 568, 2556, 585, 711, 1373, 606, 12146, 540, 24321, 17955, 5183, 19860, 590, 12087, 298, 269, 5822, 267, 1373, 606, 12146, 540, 28966, 30200, 568, 2556, 585, 1373, 606, 12146, 540, 10610, 25169, 269, 3245, 713, 5205, 281, 9861, 606, 12146, 540, 28966, 30200, 568, 2556, 585, 711, 1373, 606, 12146, 540, 24321, 17955, 5183, 19860, 590, 12087, 298, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 763, 1739, 9433, 1142, 4766, 513, 1305, 540, 5722, 3615, 11231, 538, 513, 6378, 1931, 269, 634, 6898, 616, 25401, 5812, 1369, 1142, 5037, 780, 1103, 513, 17075, 29658, 267, 972, 941, 5722, 17075, 619, 281, 9253, 267, 7605, 267, 18379, 267, 8355, 267, 27118, 267, 1520, 320, 267, 543, 3733, 320, 269, 27118, 8737, 2063, 269, 3733, 320, 8737, 1657, 7605, 269, 8355, 8737, 1657, 3733, 320, 269, 7605, 8737, 8772, 269, 18379, 8737, 2034, 269, 9253, 8737, 1657, 1520, 320, 269, 3097, 288, 269, 9253, 8737, 8772, 563, 289, 269, 7605, 8737, 8772, 563, 290, 269, 18379, 8737, 8772, 563, 291, 269, 8355, 8737, 8772, 563, 292, 269, 27118, 8737, 8772, 563, 293, 269, 1520, 320, 8737, 8772, 563, 294, 269, 3733, 320, 8737, 8772, 269, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 22720, 311, 281, 1547, 589, 1895, 540, 1004, 14964, 536, 332, 343, 13897, 21891, 454, 288, 269, 2097, 1524, 513, 2619, 1927, 563, 289, 269, 1524, 513, 666, 27267, 563, 290, 269, 616, 3254, 3168, 538, 519, 8254, 563, 291, 269, 14897, 835, 1310, 519, 824, 563, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2026, 513, 3684, 1565, 19995, 267, 621, 3587, 513, 6296, 547, 6023, 1585, 3334, 540, 519, 10724, 4804, 18180, 269, 1677, 1205, 513, 2318, 3210, 689, 707, 25739, 2203, 267, 519, 16066, 18180, 3268, 1058, 581, 538, 5348, 322, 609, 835, 1776, 267, 1775, 4318, 1421, 519, 1267, 540, 835, 5057, 1058, 711, 1860, 519, 824, 835, 28148, 269, 898, 666, 581, 6913, 676, 2834, 11974, 267, 4570, 725, 267, 543, 5826, 540, 707, 2203, 563, 5978, 3119, 1445, 786, 581, 593, 2203, 15418, 543, 1239, 15418, 3268, 538, 713, 5816, 269, 19402, 707, 1239, 568, 24019, 7157, 267, 1100, 2339, 875, 3532, 513, 3684, 1565, 610, 2620, 1565, 2203, 568, 267, 621, 666, 2760, 798, 1018, 649, 1616, 621, 547, 798, 269, 2201, 519, 824, 1688, 267, 2203, 15418, 13071, 596, 6166, 602, 707, 8036, 2203, 568, 4758, 596, 519, 4397, 3977, 593, 519, 1449, 1239, 269, 1924, 1312, 891, 3334, 616, 4105, 538, 8159, 707, 2203, 781, 2773, 1354, 543, 1310, 519, 17293, 1184, 543, 267, 585, 519, 1482, 2601, 267, 3112, 581, 20495, 563, 1432, 568, 7844, 4406, 9179, 888, 7197, 1004, 946, 741, 2866, 1239, 547, 3132, 11236, 543, 1287, 5635, 1346, 11236, 547, 519, 2866, 1239, 781, 3077, 2418, 269, 901, 568, 513, 1455, 1025, 8974, 1500, 950, 12570, 519, 2203, 781, 6111, 269, 634, 2203, 781, 11236, 1058, 267, 538, 3069, 267, 581, 2673, 547, 4641, 269, 7844, 15418, 568, 519, 1184, 1031, 547, 1205, 547, 713, 2990, 269, 898, 27786, 519, 8036, 2203, 609, 513, 4152, 1239, 1305, 2899, 2203, 2866, 568, 6192, 269, 634, 4152, 1239, 949, 610, 949, 711, 581, 513, 15410, 540, 519, 1239, 1031, 547, 1711, 519, 2866, 1305, 269, 901, 3947, 513, 8036, 2203, 519, 2702, 547, 2489, 1125, 563, 26329, 15418, 568, 513, 1950, 1184, 602, 568, 2352, 547, 30387, 610, 19665, 538, 513, 1259, 602, 666, 4019, 547, 782, 3631, 269, 898, 781, 513, 851, 540, 519, 3684, 1565, 10350, 1062, 269, 4406, 9179, 568, 1898, 585, 4180, 602, 3631, 616, 3280, 269, 898, 849, 30397, 543, 9382, 1761, 10148, 543, 10054, 543, 741, 4539, 454, 21995, 3268, 540, 2203, 15418, 1331, 912, 268, 10992, 952, 519, 2203, 11378, 616, 2973, 454, 268, 4180, 602, 519, 10471, 593, 799, 513, 2203, 568, 8036, 568, 11347, 540, 519, 1239, 593, 799, 519, 2203, 568, 2469, 547, 581, 13401, 454, 268, 7421, 519, 2203, 2773, 454, 268, 7421, 519, 2203, 781, 6617, 454, 268, 7421, 519, 7347, 1145, 540, 519, 23363, 5650, 454, 27735, 540, 7844, 4406, 9179, 454, 26329, 15418, 5849, 519, 7145, 543, 2953, 1145, 540, 513, 8036, 2203, 269, 2659, 2203, 949, 1685, 14605, 952, 519, 1184, 568, 711, 24019, 267, 4611, 538, 513, 1713, 2530, 269, 4935, 621, 568, 711, 8797, 547, 7048, 593, 922, 12605, 269, 769, 6213, 9922, 971, 607, 3782, 267, 1582, 28391, 26873, 267, 6006, 2079, 267, 543, 12605, 267, 1022, 5470, 538, 519, 7020, 666, 1267, 538, 4049, 28896, 1813, 547, 519, 3684, 781, 11234, 21520, 538, 1483, 3734, 23004, 563, 2467, 616, 1896, 2203, 15418, 5773, 267, 855, 519, 1079, 1034, 1455, 616, 538, 6066, 543, 856, 6361, 6066, 15418, 269, 769, 519, 2013, 540, 538, 6066, 15418, 267, 513, 6712, 540, 519, 1646, 10471, 568, 4371, 11735, 269, 634, 2203, 568, 1287, 7318, 547, 6218, 875, 621, 15824, 593, 1239, 689, 519, 1699, 942, 10126, 547, 519, 835, 593, 799, 621, 729, 9112, 269, 2201, 519, 824, 1688, 267, 513, 10471, 568, 6394, 689, 513, 1114, 942, 10126, 585, 856, 6361, 6066, 15418, 267, 543, 519, 2203, 568, 7318, 593, 713, 31305, 32004, 540, 1239, 547, 9794, 922, 5114, 547, 31305, 1239, 563, 2026, 513, 1267, 267, 952, 513, 2203, 814, 1044, 8499, 20240, 267, 519, 9367, 666, 581, 8746, 538, 922, 2773, 269, 589, 2203, 602, 814, 8854, 998, 519, 15418, 5650, 568, 16363, 14718, 547, 957, 538, 2104, 7653, 269, 898, 3947, 513, 1732, 21614, 296, 676, 7303, 4057, 2104, 2773, 267, 799, 568, 1946, 621, 1058, 581, 12595, 14320, 811, 982, 621, 568, 1631, 563, 30395, 513, 11565, 18976, 3642, 7844, 1210, 4578, 4406, 9179, 454, 10574, 15418, 14122, 10442, 519, 6111, 543, 2298, 540, 519, 2707, 1239, 269, 898, 5849, 602, 4686, 22114, 610, 519, 3283, 10630, 538, 31278, 1239, 616, 711, 15763, 269, 5221, 540, 1082, 4128, 267, 971, 607, 3009, 12381, 602, 3132, 2042, 538, 519, 7674, 1239, 28453, 5057, 267, 519, 1007, 19670, 1239, 538, 519, 7674, 4494, 666, 1689, 563, 763, 1739, 2798, 6542, 875, 1239, 15418, 2337, 538, 2679, 606, 3642, 2203, 912, 268, 4578, 9073, 616, 2653, 547, 5544, 538, 519, 2038, 5933, 454, 268, 2060, 1732, 1239, 267, 519, 2298, 540, 707, 3642, 2203, 10607, 454, 268, 5221, 519, 14449, 5833, 543, 1031, 538, 4393, 616, 2973, 543, 4977, 267, 1239, 15418, 8992, 1942, 13716, 4369, 676, 9494, 8030, 942, 543, 2724, 950, 3181, 19982, 6959, 454, 268, 769, 2203, 1646, 267, 972, 568, 513, 6521, 4724, 1239, 7266, 878, 4485, 454, 268, 898, 18715, 602, 1239, 10356, 689, 1585, 2959, 267, 2436, 11295, 610, 13417, 19099, 267, 10742, 519, 1870, 10421, 454, 268, 20865, 1239, 6111, 666, 1291, 547, 2799, 20656, 538, 519, 1279, 2165, 454, 268, 898, 4679, 3642, 2203, 5610, 543, 954, 6016, 1464, 609, 1034, 5773, 454, 19119, 540, 7844, 4406, 9179, 454, 2252, 519, 2203, 568, 24019, 7157, 267, 621, 786, 581, 2111, 547, 1685, 1134, 593, 31305, 1239, 267, 799, 568, 519, 3803, 1900, 540, 1022, 3684, 1565, 2203, 269, 901, 1184, 2337, 9367, 2327, 602, 789, 666, 581, 8746, 609, 519, 2773, 540, 741, 2203, 563, 12234, 267, 2566, 4152, 5773, 616, 3769, 538, 519, 1239, 15418, 1184, 269, 901, 11226, 538, 11488, 513, 4528, 540, 513, 2203, 883, 2504, 602, 814, 2907, 1044, 8499, 7318, 585, 2566, 7653, 543, 786, 711, 3111, 950, 9568, 16716, 563, 3383, 267, 2203, 15418, 11887, 519, 3972, 10290, 1465, 540, 519, 4121, 2203, 269, 634, 25739, 2203, 1310, 519, 15418, 1184, 568, 19038, 547, 957, 7347, 569, 538, 2104, 6381, 269, 7844, 15418, 849, 6971, 3790, 267, 796, 1723, 951, 811, 6959, 267, 10607, 25382, 543, 8112, 267, 543, 10607, 2203, 2298, 563, 1692, 798, 596, 4406, 28371, 4578, 585, 10724, 4804, 454, 268, 1280, 7421, 875, 707, 2203, 786, 13789, 538, 519, 1483, 1158, 267, 596, 1590, 8237, 707, 10471, 883, 2866, 267, 4152, 267, 543, 15418, 1239, 269, 634, 2866, 1239, 1305, 666, 581, 1031, 585, 2203, 2866, 267, 519, 4152, 1239, 1305, 666, 581, 1031, 585, 4152, 593, 7164, 1239, 267, 543, 519, 15418, 1239, 1305, 666, 581, 1031, 585, 5409, 12407, 2678, 25122, 543, 2203, 5542, 269, 1284, 949, 2268, 519, 4890, 2203, 2773, 676, 2870, 2789, 5439, 543, 10943, 1080, 538, 519, 10471, 269, 634, 1297, 540, 5439, 543, 519, 2203, 1031, 3313, 519, 10471, 8237, 5223, 563, 268, 13660, 12393, 5439, 666, 10836, 538, 1312, 2866, 543, 4152, 5036, 585, 1585, 4128, 269, 4475, 621, 781, 2565, 547, 5544, 543, 9004, 873, 269, 6969, 24590, 519, 1239, 267, 621, 568, 1655, 547, 4894, 5918, 27289, 267, 2638, 585, 9864, 12215, 267, 4990, 676, 1114, 9587, 267, 543, 2689, 519, 4611, 1239, 563, 268, 898, 781, 2565, 547, 1711, 513, 10471, 602, 5702, 20998, 1483, 8996, 1239, 543, 946, 621, 547, 6218, 707, 2203, 269, 901, 568, 2523, 1713, 950, 519, 10471, 543, 519, 2504, 1239, 616, 711, 689, 519, 1482, 2707, 269, 1677, 1685, 713, 15418, 267, 5635, 519, 2497, 540, 513, 1483, 8996, 1239, 1448, 547, 519, 2497, 540, 707, 2866, 1239, 563, 268, 1403, 707, 2203, 729, 8036, 593, 513, 2973, 10471, 267, 621, 781, 2565, 547, 1711, 513, 10471, 602, 5702, 20998, 1483, 8996, 1239, 543, 946, 621, 547, 6218, 707, 2203, 269, 901, 568, 2523, 1713, 950, 519, 10471, 543, 519, 2504, 1239, 616, 711, 689, 519, 1482, 2707, 269, 1677, 1685, 713, 15418, 267, 5635, 519, 2497, 540, 513, 1483, 8996, 1239, 1448, 547, 519, 2497, 540, 707, 2866, 1239, 563, 268, 2290, 540, 519, 1034, 1455, 3123, 540, 2203, 6111, 12159, 936, 942, 568, 1239, 20847, 269, 898, 9247, 1797, 602, 519, 1239, 3892, 2242, 936, 942, 543, 15320, 689, 519, 2866, 1239, 3892, 269, 1924, 267, 547, 3313, 20847, 267, 596, 666, 5721, 707, 2203, 593, 2250, 1239, 543, 1287, 6218, 621, 593, 1699, 1239, 282, 952, 519, 2164, 1821, 5573, 3648, 689, 519, 3140, 1239, 267, 596, 2811, 7231, 609, 1239, 20847, 563, 7343, 30294, 547, 4406, 28371, 513, 10724, 4804, 7844, 538, 13870, 454, 303, 3233, 1239, 2298, 1522, 2014, 1062, 26301, 610, 3500, 2203, 2773, 12159, 269, 898, 4386, 607, 513, 1267, 540, 2242, 538, 1483, 8996, 1239, 269, 1306, 513, 1267, 267, 1310, 519, 2203, 568, 2322, 883, 2504, 267, 621, 781, 2565, 547, 1427, 1778, 621, 1310, 513, 1978, 2179, 540, 942, 563, 763, 1764, 949, 581, 1447, 538, 519, 2038, 5933, 267, 1247, 538, 519, 2663, 5933, 949, 581, 811, 23487, 539, 269, 898, 949, 1831, 2352, 547, 3181, 1872, 543, 20586, 563, 26329, 15418, 1058, 581, 5340, 1310, 2203, 4152, 543, 1354, 17293, 269, 1403, 596, 1118, 1022, 12381, 547, 707, 3684, 1565, 2203, 1310, 1373, 18611, 267, 596, 1058, 556, 268, 20777, 622, 621, 269, 4329, 267, 15418, 1058, 581, 5340, 5781, 1310, 17293, 267, 971, 607, 2899, 513, 1032, 267, 607, 851, 540, 519, 5464, 1184, 563, 2080, 568, 519, 1592, 540, 519, 2442, 4485, 547, 19472, 707, 3684, 1565, 2203, 538, 2504, 912, 298, 24670, 9061, 268, 11749, 9179, 6396, 454, 3080, 540, 519, 1034, 14916, 1031, 16097, 1851, 1239, 3744, 568, 918, 24670, 3444, 29705, 9179, 269, 901, 1505, 30397, 936, 7257, 1154, 610, 7648, 538, 519, 2866, 1239, 602, 519, 2203, 2824, 338, 543, 16137, 607, 2035, 269, 898, 740, 12742, 547, 513, 1239, 15652, 532, 4341, 602, 568, 811, 2500, 538, 713, 1505, 269, 1306, 513, 1267, 267, 596, 3513, 581, 2111, 547, 946, 707, 1239, 547, 1711, 513, 811, 20902, 2203, 563, 763, 1184, 2882, 1152, 835, 9936, 267, 737, 267, 799, 23403, 519, 1297, 540, 2516, 883, 799, 513, 2016, 1239, 3732, 1058, 581, 5258, 269, 898, 781, 513, 2442, 4640, 1317, 621, 781, 3551, 547, 9787, 543, 3622, 7472, 1447, 21678, 2164, 563, 2690, 707, 1239, 3732, 267, 519, 737, 1871, 1590, 581, 5402, 6074, 269, 589, 737, 1871, 602, 568, 27235, 6074, 949, 2285, 606, 25619, 12705, 540, 519, 2203, 781, 5578, 563, 32306, 14633, 13050, 3444, 29705, 9179, 1505, 454, 26183, 8016, 309, 568, 513, 1826, 540, 3444, 29705, 9179, 538, 799, 835, 8343, 568, 6854, 585, 15418, 267, 835, 2594, 568, 1031, 585, 2866, 267, 543, 835, 1175, 585, 4152, 269, 1280, 1142, 8343, 602, 568, 4371, 856, 267, 519, 2203, 568, 11117, 269, 634, 1611, 540, 782, 519, 1367, 20241, 568, 1287, 1031, 547, 12337, 519, 3803, 1267, 269, 1717, 267, 972, 616, 1978, 11393, 547, 14139, 713, 1505, 563, 8794, 29486, 8016, 309, 666, 581, 1939, 14260, 7199, 267, 2523, 952, 519, 1239, 1305, 568, 11999, 543, 519, 2203, 3217, 513, 1279, 942, 547, 1451, 269, 6271, 3390, 609, 29486, 8016, 309, 568, 602, 596, 1683, 519, 2203, 609, 18374, 782, 540, 519, 2866, 1239, 543, 1152, 513, 2582, 8343, 547, 6218, 267, 3056, 547, 1713, 13065, 610, 936, 7257, 1154, 563, 305, 24655, 7449, 600, 7204, 15418, 1505, 454, 305, 24655, 7449, 600, 7204, 267, 4122, 1634, 607, 22757, 30408, 3444, 29705, 9179, 267, 568, 513, 4480, 602, 17337, 1239, 883, 1016, 25364, 693, 4351, 269, 634, 3593, 11887, 519, 2450, 540, 519, 29162, 269, 2311, 1585, 2053, 519, 2866, 543, 4152, 5036, 616, 8237, 267, 4611, 538, 2789, 1239, 5036, 1373, 13603, 693, 4351, 269, 634, 1239, 6498, 693, 4351, 666, 581, 7368, 22543, 17802, 563, 763, 6111, 6591, 689, 1142, 15652, 568, 30714, 267, 543, 519, 2203, 781, 5470, 2557, 568, 519, 3328, 540, 1142, 21767, 781, 5470, 2557, 269, 634, 4351, 7449, 600, 7204, 1505, 814, 519, 5413, 540, 1373, 2111, 547, 581, 7368, 22543, 17802, 563, 763, 942, 1606, 7685, 3444, 29705, 9179, 1505, 267, 849, 1634, 607, 519, 4464, 7302, 8724, 1935, 610, 12902, 3444, 29705, 9179, 267, 17337, 1239, 883, 5721, 543, 15418, 2687, 547, 942, 585, 942, 1606, 7685, 14449, 269, 634, 5650, 568, 607, 5205, 912, 268, 3399, 609, 513, 1507, 15410, 540, 1239, 585, 2866, 454, 268, 21023, 585, 2663, 1239, 2798, 454, 268, 7638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1767, 519, 2078, 1063, 519, 1523, 543, 519, 7121, 568, 5432, 267, 7928, 267, 610, 7915, 538, 519, 2247, 540, 519, 1367, 269, 2334, 568, 267, 519, 1523, 543, 519, 7121, 616, 15508, 2404, 563, 2690, 1383, 267, 952, 513, 16045, 23465, 3648, 5488, 950, 30010, 519, 2262, 11773, 609, 4787, 4883, 344, 630, 32051, 589, 264, 982, 609, 15310, 630, 322, 14394, 645, 1070, 11773, 543, 4787, 4883, 344, 616, 17697, 569, 811, 2404, 267, 811, 10562, 538, 519, 16045, 781, 2247, 269, 13689, 593, 875, 519, 8097, 1374, 729, 3989, 267, 649, 1223, 18505, 602, 519, 16045, 949, 2285, 1932, 1454, 2956, 547, 1560, 3239, 267, 610, 602, 568, 1175, 1776, 6408, 540, 1978, 22099, 649, 616, 782, 11303, 676, 269, 769, 1022, 2013, 267, 594, 2969, 4255, 616, 26500, 17697, 12205, 540, 891, 2035, 602, 949, 711, 581, 3015, 547, 519, 6857, 2247, 267, 610, 602, 949, 581, 1932, 11786, 610, 19849, 23035, 547, 3142, 547, 1769, 563, 3412, 14032, 5948, 18873, 616, 1175, 835, 540, 519, 1896, 17697, 9186, 4255, 602, 2268, 17499, 8456, 543, 4978, 538, 519, 2344, 269, 1717, 267, 594, 2969, 338, 267, 2059, 609, 10021, 532, 18873, 267, 616, 519, 1034, 4122, 1031, 676, 1312, 19174, 543, 4213, 547, 2708, 1346, 17697, 8456, 269, 1403, 596, 1616, 547, 1451, 811, 1344, 827, 594, 2969, 267, 10021, 532, 18873, 267, 543, 824, 17697, 9186, 4255, 267, 5225, 267, 1246, 713, 3095, 563, 1692, 1281, 519, 594, 2969, 960, 888, 763, 1955, 14032, 5948, 4530, 568, 16135, 538, 875, 938, 12058, 1184, 1344, 267, 513, 7613, 6045, 267, 538, 851, 267, 676, 513, 12242, 3491, 947, 2203, 630, 1122, 267, 18135, 1188, 1299, 1546, 28852, 267, 476, 1220, 275, 264, 799, 1114, 28179, 1063, 513, 20790, 531, 543, 1997, 894, 1344, 4393, 1062, 912, 268, 634, 20405, 27953, 281, 634, 20790, 531, 1062, 267, 849, 1634, 607, 3590, 476, 273, 630, 298, 23167, 17507, 267, 476, 1001, 272, 1070, 14687, 547, 8763, 7744, 3157, 543, 13333, 29596, 855, 7444, 563, 268, 634, 16258, 27953, 281, 634, 1997, 894, 1062, 267, 849, 1634, 607, 3590, 476, 272, 630, 298, 23167, 17507, 267, 476, 1001, 272, 1070, 14687, 547, 519, 3262, 540, 11852, 3157, 543, 13333, 3533, 855, 609, 3908, 6857, 10333, 630, 306, 1013, 8475, 1696, 620, 1421, 476, 1220, 279, 1916, 3383, 267, 1018, 1281, 519, 594, 2969, 2268, 286, 634, 594, 2969, 11394, 547, 2268, 1152, 519, 3728, 8905, 865, 519, 6114, 13572, 676, 519, 6857, 2247, 1205, 26793, 543, 17515, 269, 2290, 540, 519, 1292, 2055, 568, 693, 799, 942, 11996, 616, 6114, 15427, 676, 1062, 476, 272, 543, 676, 1062, 476, 273, 563, 20755, 532, 540, 3590, 476, 272, 543, 3590, 476, 273, 454, 2691, 513, 17003, 2680, 3217, 1747, 630, 271, 916, 1070, 938, 2634, 6238, 4393, 519, 1344, 269, 898, 3217, 5111, 476, 1220, 268, 4968, 916, 547, 1184, 543, 547, 2746, 547, 621, 267, 585, 1383, 267, 676, 10296, 513, 13691, 1883, 269, 22353, 267, 519, 6114, 602, 2049, 538, 1447, 942, 982, 476, 1220, 268, 4968, 916, 616, 2808, 1932, 3728, 543, 1058, 581, 17515, 269, 13786, 525, 602, 1491, 3476, 982, 476, 20981, 268, 12010, 20444, 616, 2808, 13572, 676, 6857, 3375, 1818, 543, 616, 849, 15653, 563, 4913, 267, 972, 568, 1100, 3169, 9165, 540, 942, 1141, 3590, 476, 272, 4386, 267, 1317, 930, 5171, 2746, 18334, 982, 1866, 267, 543, 930, 2592, 610, 1913, 616, 811, 1950, 547, 1184, 982, 1866, 269, 11153, 5690, 2409, 616, 4294, 547, 2973, 519, 1239, 563, 20751, 519, 3964, 12557, 267, 952, 513, 1523, 568, 811, 3533, 9286, 883, 513, 7121, 589, 982, 883, 513, 7121, 645, 267, 519, 1523, 543, 519, 7121, 589, 616, 811, 796, 4621, 19290, 2404, 538, 519, 2247, 540, 519, 16045, 269, 634, 18334, 519, 2626, 267, 519, 6793, 519, 7681, 563, 1432, 1281, 606, 594, 2969, 1413, 899, 888, 2171, 723, 2919, 606, 1955, 14032, 5948, 4530, 865, 596, 666, 1995, 875, 519, 1449, 1568, 269, 1411, 666, 1569, 621, 676, 14467, 538, 519, 4544, 1402, 909, 602, 5526, 538, 519, 5377, 268, 3847, 851, 540, 713, 2985, 269, 1403, 621, 3085, 1406, 2408, 267, 5225, 267, 29295, 707, 11422, 269, 2991, 11264, 519, 1449, 267, 596, 786, 723, 1569, 547, 707, 2123, 594, 2969, 8464, 267, 2059, 609, 519, 3328, 2164, 540, 519, 1449, 602, 723, 1044, 3144, 865, 2484, 563, 1103, 519, 594, 2969, 267, 519, 16045, 814, 547, 19665, 267, 607, 3533, 607, 2009, 267, 1913, 610, 2592, 602, 786, 1402, 909, 538, 519, 5496, 883, 741, 7222, 7121, 610, 14487, 1895, 269, 1703, 616, 1079, 6688, 543, 1079, 14487, 2516, 269, 595, 20975, 616, 519, 1079, 9072, 649, 1616, 547, 5635, 563, 2467, 616, 2789, 8062, 538, 799, 10305, 543, 6688, 1590, 581, 19610, 269, 1280, 1383, 267, 938, 6216, 1341, 1434, 5288, 269, 2841, 3218, 1341, 3983, 282, 543, 13030, 17930, 281, 938, 6216, 1341, 3983, 5288, 269, 2841, 3218, 1341, 1434, 563, 4942, 848, 476, 272, 281, 27491, 454, 5575, 267, 8846, 616, 2016, 547, 2491, 875, 547, 6292, 1913, 543, 5924, 2592, 607, 3533, 607, 2009, 269, 898, 849, 2982, 519, 1913, 543, 2592, 602, 786, 2408, 538, 2185, 7121, 2516, 912, 1103, 713, 1353, 267, 596, 786, 2347, 606, 1955, 14032, 5948, 4530, 630, 296, 2969, 264, 538, 799, 596, 786, 581, 4280, 547, 4990, 5961, 543, 1913, 883, 2516, 607, 3728, 607, 596, 666, 269, 901, 1353, 1058, 1491, 827, 476, 1015, 3764, 547, 2347, 269, 8921, 267, 596, 786, 946, 519, 1412, 292, 262, 543, 1412, 296, 262, 2780, 10569, 547, 30387, 3688, 883, 2516, 607, 3533, 607, 596, 666, 563, 2252, 596, 1118, 513, 12161, 267, 513, 2699, 2473, 786, 2408, 593, 519, 5496, 269, 1452, 616, 519, 2185, 2516, 543, 519, 3688, 602, 4866, 547, 1142, 912, 268, 6153, 281, 853, 344, 1501, 267, 7605, 755, 267, 16258, 267, 8752, 267, 7736, 1005, 267, 20153, 10184, 454, 268, 14068, 281, 7935, 5287, 267, 667, 8812, 267, 4934, 13768, 267, 20405, 267, 24162, 267, 24581, 454, 268, 21145, 476, 272, 281, 476, 277, 2592, 540, 21145, 476, 272, 454, 268, 21145, 476, 273, 281, 476, 277, 2592, 540, 21145, 476, 273, 454, 4942, 848, 476, 273, 281, 19361, 1436, 454, 13553, 267, 17013, 723, 547, 19665, 1142, 2262, 610, 3239, 602, 5526, 538, 519, 4099, 540, 519, 5496, 883, 741, 2953, 6688, 1210, 519, 968, 292, 892, 543, 968, 296, 892, 2780, 10569, 269, 3689, 267, 519, 1895, 540, 6688, 630, 32051, 476, 272, 543, 21145, 476, 273, 264, 543, 1287, 519, 1895, 540, 10305, 630, 14187, 543, 14068, 1040, 634, 6662, 540, 519, 5432, 1436, 5123, 568, 602, 17013, 1174, 1018, 789, 723, 547, 798, 543, 1831, 5432, 609, 519, 5650, 269, 634, 2164, 5833, 538, 713, 5123, 786, 711, 581, 2808, 538, 519, 1867, 563, 4942, 848, 476, 274, 281, 4530, 454, 15563, 267, 713, 5123, 2882, 1896, 8062, 538, 799, 10305, 543, 6688, 616, 19610, 543, 6404, 269, 2334, 568, 267, 713, 942, 519, 2609, 602, 786, 14477, 1402, 909, 593, 519, 4099, 540, 519, 5496, 4866, 547, 1312, 6688, 610, 2516, 540, 10305, 267, 543, 519, 4087, 630, 520, 519, 15174, 264, 540, 519, 1114, 2516, 547, 6292, 891, 2609, 609, 786, 849, 14595, 538, 1931, 547, 2057, 1565, 12886, 267, 607, 3254, 538, 519, 3239, 2630, 563, 2252, 10305, 540, 519, 7121, 6153, 616, 811, 2404, 609, 21145, 476, 272, 267, 519, 942, 547, 6292, 873, 786, 581, 10156, 269, 6153, 543, 21145, 476, 272, 1131, 581, 6923, 2404, 538, 519, 16045, 781, 2247, 563, 1432, 798, 519, 594, 2969, 2164, 1413, 899, 888, 296, 2969, 1449, 2164, 2356, 1413, 899, 519, 3113, 2630, 269, 634, 1079, 13063, 5330, 547, 519, 1079, 10305, 630, 25364, 540, 2035, 1070, 543, 519, 3113, 6920, 519, 3210, 2053, 585, 1362, 4328, 10305, 883, 835, 540, 519, 6688, 269, 634, 10156, 3046, 6920, 513, 18334, 8760, 543, 4061, 267, 513, 6793, 7681, 540, 713, 14487, 609, 713, 7121, 563, 289, 2590, 532, 519, 594, 2969, 547, 519, 1985, 1377, 454, 15697, 594, 2969, 4255, 267, 2059, 609, 10021, 532, 18873, 267, 723, 1831, 513, 27249, 543, 1942, 15807, 1382, 1907, 602, 2636, 11018, 17499, 1239, 540, 7366, 540, 5171, 538, 2594, 942, 543, 1942, 9806, 563, 763, 5171, 798, 711, 723, 547, 979, 547, 513, 8047, 610, 5957, 1022, 12214, 8596, 269, 634, 1152, 4170, 616, 513, 4276, 547, 519, 4950, 267, 513, 2780, 267, 16979, 267, 610, 16335, 267, 543, 5111, 476, 1015, 3764, 540, 1445, 538, 1931, 547, 9585, 519, 4305, 563, 2690, 713, 2601, 267, 594, 2969, 4255, 616, 1373, 5051, 6964, 676, 12478, 267, 2344, 1382, 3906, 267, 543, 824, 1483, 8996, 630, 754, 22190, 997, 566, 264, 1382, 32112, 543, 824, 2010, 540, 29648, 1046, 7566, 3549, 267, 538, 1931, 547, 723, 606, 3063, 4494, 540, 1875, 10940, 1344, 689, 741, 9458, 543, 1732, 3589, 741, 2623, 269, 901, 1259, 267, 594, 2969, 25221, 1875, 10940, 8456, 602, 948, 891, 3906, 547, 2087, 741, 6216, 17568, 2994, 267, 5542, 540, 6216, 13222, 267, 11183, 2079, 267, 875, 6216, 13283, 2242, 950, 13156, 606, 10229, 4062, 267, 610, 1022, 824, 6725, 3693, 1862, 769, 9759, 267, 594, 2969, 2090, 1397, 519, 4110, 540, 1875, 23655, 13283, 540, 519, 2609, 547, 581, 11117, 563, 23382, 1456, 594, 2969, 609, 824, 17697, 543, 8763, 2409, 454, 3528, 9256, 17697, 2409, 609, 824, 2553, 971, 607, 661, 9680, 267, 717, 17876, 267, 645, 29262, 267, 3750, 9477, 267, 3092, 282, 610, 3616, 541, 894, 5773, 971, 607, 12220, 267, 11042, 610, 1445, 2516, 267, 621, 14998, 3173, 666, 1020, 547, 723, 513, 3102, 1620, 540, 1018, 781, 2469, 593, 538, 519, 16045, 779, 2247, 267, 543, 3976, 267, 1732, 1174, 741, 2623, 269, 9779, 28090, 6997, 338, 267, 1331, 891, 1955, 14032, 4437, 553, 18873, 267, 602, 616, 4749, 5916, 609, 9779, 28090, 781, 661, 9680, 267, 717, 17876, 267, 645, 29262, 267, 10566, 294, 267, 15444, 294, 267, 2837, 543, 19344, 8596, 267, 1473, 3233, 19024, 532, 7010, 267, 610, 18578, 4512, 1160, 3750, 3950, 619, 267, 543, 609, 3616, 541, 894, 5773, 563, 763, 1955, 14032, 5948, 4530, 729, 3810, 6964, 676, 1514, 6530, 3744, 538, 1931, 547, 2263, 17499, 8456, 2509, 7292, 2516, 267, 4008, 267, 14920, 267, 2085, 267, 543, 4984, 269, 2991, 476, 2412, 1296, 267, 17697, 3800, 616, 1869, 1031, 267, 711, 1152, 547, 11097, 523, 1514, 1382, 8906, 855, 849, 547, 32432, 543, 2087, 891, 2553, 269, 769, 1840, 267, 5010, 3156, 971, 607, 7082, 2623, 610, 2797, 13283, 1382, 616, 1373, 9619, 543, 6964, 538, 1931, 547, 3589, 543, 2697, 606, 17697, 13283, 4724, 513, 1587, 267, 6216, 267, 28910, 267, 610, 22267, 563, 2252, 596, 1616, 547, 3136, 1565, 827, 1955, 14032, 4437, 553, 2553, 267, 741, 3156, 267, 543, 547, 1294, 930, 4277, 3621, 8100, 593, 519, 1888, 267, 1224, 519, 4985, 547, 1955, 14032, 4437, 553, 18873, 281, 594, 2969, 543, 10021, 532, 17697, 1449, 7127, 563, 10673, 1405, 7340, 547, 1491, 519, 1449, 2336, 8855, 602, 596, 666, 1569, 621, 676, 14467, 538, 519, 4544, 1402, 909, 602, 5526, 538, 519, 5377, 268, 3847, 851, 540, 713, 2985, 269, 1403, 621, 3085, 1406, 2408, 267, 5225, 267, 29295, 707, 11422, 563, 12867, 693, 12370, 2160, 267, 2160, 540, 6115, 267, 2160, 540, 9098, 267, 543, 23171, 2160, 616, 3238, 538, 519, 5741, 1955, 14032, 267, 538, 799, 789, 1118, 2139, 513, 1896, 540, 594, 2969, 547, 5531, 1239, 593, 519, 1875, 23655, 9186, 827, 25641, 2623, 267, 11475, 267, 28639, 538, 14797, 543, 14940, 267, 4984, 267, 4008, 267, 4638, 10066, 267, 3092, 269, 1411, 666, 1491, 513, 1449, 593, 741, 3896, 269, 13966, 609, 707, 2123, 594, 2969, 8464, 267, 789, 786, 2446, 2009, 12496, 602, 723, 513, 4493, 538, 1382, 2944, 676, 1346, 9945, 563, 10666, 519, 2278, 454, 290, 2077, 2088, 744, 576, 14765, 6585, 513, 645, 9928, 689, 519, 2160, 540, 30209, 543, 606, 9049, 322, 538, 3026, 23757, 1046, 7566, 676, 519, 32534, 2160, 540, 30209, 269, 595, 2077, 2088, 814, 476, 279, 266, 1296, 540, 1995, 2324, 538, 519, 10229, 543, 6752, 2872, 5001, 269, 2701, 814, 5340, 22631, 4721, 693, 23006, 541, 7085, 1189, 9466, 543, 5590, 10000, 9012, 543, 8678, 9779, 28090, 538, 476, 1001, 278, 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 ]
[ 1434, 1259, 585, 3237, 547, 1376, 7391, 609, 3214, 593, 13998, 4143, 3584, 269, 1284, 909, 611, 974, 891, 2110, 2984, 593, 782, 3018, 17058, 269, 1684, 2638, 856, 938, 824, 17008, 1934, 454, 6624, 513, 2053, 649, 2097, 2066, 9583, 31837, 25236, 762, 2042, 267, 1282, 971, 2053, 621, 568, 1455, 585, 1004, 547, 2887, 585, 834, 713, 568, 1250, 12556, 834, 15972, 269, 634, 1655, 3070, 8164, 649, 3068, 1022, 3390, 568, 547, 1376, 2921, 2962, 269, 4634, 1507, 3268, 616, 1732, 982, 1100, 1900, 693, 782, 563, 5723, 27345, 5990, 27483, 295, 3036, 912, 29834, 320, 2398, 553, 611, 568, 513, 27503, 5856, 945, 11339, 4930, 543, 2110, 2984, 585, 3214, 269, 2701, 11099, 602, 6689, 568, 519, 1318, 2085, 547, 538, 1529, 322, 622, 519, 1318, 2418, 538, 3214, 269, 898, 2337, 873, 547, 1020, 883, 8746, 4079, 269, 2701, 6272, 543, 8255, 513, 4819, 779, 12139, 1572, 589, 700, 3951, 307, 4041, 27749, 268, 2304, 12056, 27412, 267, 998, 799, 1352, 13290, 547, 3914, 3214, 602, 2337, 3214, 3251, 2476, 689, 5496, 267, 1628, 7391, 543, 1628, 519, 1318, 14820, 538, 3214 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 1193, 21405, 14277, 22512, 518, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 17345, 318, 5327, 13062, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 293, 659, 559, 318, 2839, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 9359, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 17484, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 291, 904, 15058, 318, 1492, 318, 25582, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 11243, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 290, 21283, 4785, 273, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 476, 21742, 13700, 285, 2580, 3758, 284, 338, 1511, 18316, 10142, 258, 1715, 5441, 1477, 2745, 2891, 3269, 9572, 339, 7853, 20565, 14456, 285, 825, 21742, 15965, 285, 1477, 476, 21742, 2993, 285, 1477, 476, 2999, 2993, 1362, 6889, 3147, 867, 542, 5991, 3572, 566, 22969, 1477, 825, 2999, 320, 27430, 6889, 258, 3966, 601, 1015, 320, 22969, 6124, 5441, 9572, 320, 285, 1477, 825, 2999, 15965, 7329, 6889, 3966, 601, 1015, 320, 257, 1362, 6889, 20880, 22969, 1477, 283, 14456, 2281, 335, 5217, 6889, 271, 257, 1591, 25247, 3429, 6889, 271, 257, 8700, 6889, 1911, 260, 22969, 1477, 476, 2999, 339, 7853, 12481, 13700, 285, 1477, 825, 2999, 628, 285, 20428, 9572, 628, 285, 1477, 825, 2999, 628, 285, 290, 7614, 690, 9572, 628, 285, 1477, 825, 2999, 628, 285, 4089, 9572, 628, 285, 1477, 825, 2999, 628, 285, 22512, 518, 9572, 628, 285, 1477, 825, 2999, 628, 285, 20373, 9572, 628, 285, 1477, 825, 2999, 628, 285, 305, 7112, 9572, 628, 285, 1477, 825, 2999, 628, 285, 9359, 9572, 628, 285, 1477, 825, 2999, 628, 285, 17484, 9572, 628, 285, 1477, 825, 2999, 628, 285, 291, 904, 9572, 628, 285, 1477, 825, 2999, 628, 285, 9743, 1192, 528, 9572, 628, 285, 1477, 825, 2999, 628, 285, 290, 25283, 9572, 628, 285, 1477, 476, 21742, 13700, 285, 3269, 2580, 3758, 284, 338, 1511, 18316, 10142, 5976, 1930, 263, 13449, 18316, 264, 607, 26417, 18316, 6769, 825, 26417, 318, 1348, 518, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 18316, 3418, 825, 585, 4737, 538, 26417, 318, 1348, 518, 6769, 1038, 952, 4737, 14277, 31955, 318, 18662, 318, 5327, 13062, 19312, 2652, 834, 6124, 5441, 257, 6769, 2018, 1820, 2891, 476, 2999, 13700, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 20428, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 290, 7614, 690, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 4089, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 22512, 518, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 17345, 318, 5327, 13062, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 293, 659, 559, 318, 2839, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 9359, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 17484, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 291, 904, 15058, 318, 1492, 318, 25582, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 11243, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 290, 21283, 4785, 273, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 476, 21742, 13700, 285, 2580, 3758, 284, 338, 1511, 18316, 10142, 258, 5441, 540, 8585, 577, 663, 2358, 267, 9869, 20890, 543, 21094, 1477, 2745, 2891, 3269, 9572, 339, 7853, 20565, 14456, 285, 825, 21742, 15965, 285, 1477, 476, 21742, 2993, 285, 1477, 476, 2999, 2993, 1362, 6889, 3147, 867, 542, 5991, 3572, 566, 22969, 1477, 825, 2999, 320, 27430, 6889, 258, 3966, 601, 1556, 320, 22969, 31955, 540, 8585, 577, 663, 2358, 267, 9869, 20890, 543, 21094, 9572, 320, 285, 1477, 825, 2999, 15965, 7329, 6889, 3966, 601, 1556, 320, 257, 1362, 6889, 20880, 22969, 1477, 283, 14456, 2281, 335, 5217, 6889, 271, 257, 1591, 25247, 3429, 6889, 271, 257, 8700, 6889, 1911, 260, 22969, 1477, 476, 2999, 339, 7853, 12481, 13700, 285, 1477, 825, 2999, 628, 285, 20428, 9572, 628, 285, 1477, 825, 2999, 628, 285, 290, 7614, 690, 9572, 628, 285, 1477, 825, 2999, 628, 285, 4089, 9572, 628, 285, 1477, 825, 2999, 628, 285, 22512, 518, 9572, 628, 285, 1477, 825, 2999, 628, 285, 20373, 9572, 628, 285, 1477, 825, 2999, 628, 285, 305, 7112, 9572, 628, 285, 1477, 825, 2999, 628, 285, 9359, 9572, 628, 285, 1477, 825, 2999, 628, 285, 17484, 9572, 628, 285, 1477, 825, 2999, 628, 285, 291, 904, 9572, 628, 285, 1477, 825, 2999, 628, 285, 9743, 1192, 528, 9572, 628, 285, 1477, 825, 2999, 628, 285, 290, 25283, 9572, 628, 285, 1477, 476, 21742, 13700, 285, 3269, 2580, 3758, 284, 338, 1511, 18316, 10142, 5976, 1930, 263, 13449, 18316, 264, 607, 26417, 18316, 6769, 825, 26417, 318, 1348, 518, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 18316, 3418, 825, 585, 4737, 538, 26417, 318, 1348, 518, 6769, 1038, 952, 4737, 14277, 31955, 318, 18662, 318, 5327, 13062, 19312, 2652, 834, 31955, 540, 6004, 577, 267, 9869, 267, 21094, 257, 6769, 2018, 1820, 2891, 476, 2999, 13700, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 20428, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 290, 7614, 690, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 4089, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 22512, 518, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 17345, 318, 5327, 13062, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 293, 659, 559, 318, 2839, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 9359, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 17484, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 291, 904, 15058, 318, 1492, 318, 25582, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 11243, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 290, 21283, 4785, 273, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 476, 21742, 13700, 285, 2580, 3758, 284, 338, 1511, 18316, 10142, 258, 5441, 540, 2657, 543, 5398, 6796, 1477, 2745, 2891, 3269, 9572, 339, 7853, 20565, 14456, 285, 825, 21742, 15965, 285, 1477, 476, 21742, 2993, 285, 1477, 476, 2999, 2993, 1362, 6889, 3147, 867, 542, 5991, 3572, 566, 22969, 1477, 825, 2999, 320, 27430, 6889, 258, 3966, 601, 1321, 320, 22969, 31955, 540, 2657, 543, 5398, 6796, 9572, 320, 285, 1477, 825, 2999, 15965, 7329, 6889, 3966, 601, 1321, 320, 257, 1362, 6889, 20880, 22969, 1477, 283, 14456, 2281, 335, 5217, 6889, 271, 257, 1591, 25247, 3429, 6889, 271, 257, 8700, 6889, 1911, 260, 22969, 1477, 476, 2999, 339, 7853, 12481, 13700, 285, 1477, 825, 2999, 628, 285, 20428, 9572, 628, 285, 1477, 825, 2999, 628, 285, 290, 7614, 690, 9572, 628, 285, 1477, 825, 2999, 628, 285, 4089, 9572, 628, 285, 1477, 825, 2999, 628, 285, 22512, 518, 9572, 628, 285, 1477, 825, 2999, 628, 285, 20373, 9572, 628, 285, 1477, 825, 2999, 628, 285, 305, 7112, 9572, 628, 285, 1477, 825, 2999, 628, 285, 9359, 9572, 628, 285, 1477, 825, 2999, 628, 285, 17484, 9572, 628, 285, 1477, 825, 2999, 628, 285, 291, 904, 9572, 628, 285, 1477, 825, 2999, 628, 285, 9743, 1192, 528, 9572, 628, 285, 1477, 825, 2999, 628, 285, 290, 25283, 9572, 628, 285, 1477, 476, 21742, 13700, 285, 3269, 2580, 3758, 284, 338, 1511, 18316, 10142, 5976, 1930, 263, 13449, 18316, 264, 607, 26417, 18316, 6769, 825, 26417, 318, 1348, 518, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 18316, 3418, 825, 585, 4737, 538, 26417, 318, 1348, 518, 6769, 1038, 952, 4737, 14277, 31955, 318, 18662, 318, 5327, 13062, 19312, 2652, 834, 8624, 540, 2657, 1299, 5398, 6796, 257, 6769, 2018, 1820, 2891, 476, 2999, 13700, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 20428, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 290, 7614, 690, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 4089, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 22512, 518, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 17345, 318, 5327, 13062, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 2891, 825, 2999, 11575, 285, 257, 1341, 1193, 21405, 14277, 293, 659, 559, 318, 2839, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 9359, 257, 8079, 1341, 834, 9572, 11575, 285, 2580, 3758, 284, 338, 1511, 18316, 3418, 2018, 1820, 3488, 825, 2999, 11575, 5447, 6889, 2431, 22969, 262, 1341, 1193, 21405, 14277, 300, 339, 326, 318, 17484, 257, 8079, 1341, 834, 9572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 476, 5325, 267, 476, 8618, 267, 476, 11463, 267, 476, 14338, 267, 476, 6642, 267, 476, 28192, 267, 476, 4391, 277, 267, 476, 4366, 279, 267, 476, 30525, 278, 267, 476, 6872, 274, 275, 267, 476, 14625, 6924, 267, 476, 26631, 3607, 692, 1626, 16975, 692, 4634, 16975, 476, 1321, 476, 275, 476, 273, 476, 273, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 1626, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 4510, 277, 2412, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 24241, 6860, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 29344, 271, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 14681, 269, 4510, 277, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 279, 269, 13136, 8064, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 2420, 267, 280, 3607, 666, 581, 5258, 676, 476, 1626, 2318, 16975, 630, 719, 540, 799, 476, 1321, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 2420, 267, 280, 3607, 264, 568, 476, 4510, 267, 25953, 267, 519, 3328, 568, 476, 273, 267, 278, 3445, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 26631, 3607, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 8099, 2412, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 15946, 271, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 14838, 280, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 1556, 267, 31239, 2318, 9981, 630, 1652, 982, 476, 2420, 267, 280, 3607, 264, 602, 616, 2941, 31870, 609, 476, 2420, 267, 280, 3607, 269, 1656, 972, 616, 5111, 476, 273, 267, 4649, 280, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 2420, 267, 280, 3607, 780, 1012, 6555, 529, 2225, 540, 476, 26631, 3607, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 272, 476, 271, 476, 272, 476, 275, 476, 275, 476, 271, 476, 275, 692, 763, 1297, 476, 2420, 267, 280, 3607, 568, 16883, 676, 476, 273, 267, 476, 275, 543, 476, 279, 780, 1892, 25226, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1012, 12476, 7503, 630, 26631, 3607, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 6200, 1911, 8099, 18733, 1822, 454, 274, 570, 1716, 776, 476, 6200, 9340, 18733, 272, 454, 275, 2372, 15715, 776, 476, 12208, 13199, 736, 454, 276, 2372, 2435, 476, 13199, 27088, 272, 454, 277, 7354, 776, 476, 22724, 10441, 454, 279, 4239, 531, 476, 276, 5379, 1789, 454, 1015, 27252, 476, 26631, 3607, 454, 1321, 13660, 1712, 31565, 476, 13647, 4097, 454, 736, 966, 580, 525, 2711, 476, 273, 327, 277, 326, 454, 3607, 12476, 3607, 554, 335, 275, 692, 1012, 9978, 9273, 630, 333, 815, 476, 26631, 3607, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 3393, 279, 7761, 476, 277, 6434, 5400, 476, 280, 1704, 4510, 476, 14625, 27151, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 14625, 6924, 476, 278, 5038, 276, 269, 3451, 476, 6872, 274, 275, 476, 3393, 279, 278, 269, 273, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 276, 2918, 271, 2568, 6021, 277, 476, 6344, 4792, 278, 16960, 277, 1240, 6321, 476, 28510, 278, 4375, 23470, 2568, 274, 276, 3066, 21327, 476, 277, 4097, 278, 3066, 5400, 276, 20862, 4792, 275, 2568, 280, 279, 1704, 277, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 14681, 269, 4510, 277, 476, 2764, 269, 31404, 274, 476, 1321, 269, 27420, 275, 476, 278, 269, 4510, 280, 272, 692, 1012, 476, 26631, 3607, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 3393, 279, 7761, 476, 13893, 9340, 476, 272, 269, 4792, 273, 6858, 324, 266, 6021, 692, 2162, 1975, 1877, 692, 11730, 476, 276, 269, 4962, 275, 5881, 324, 266, 1724, 476, 277, 269, 29637, 6858, 324, 266, 6021, 476, 13893, 9340, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 280, 1704, 4510, 476, 276, 269, 18605, 277, 324, 266, 5400, 476, 27844, 3607, 269, 275, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 274, 269, 14444, 3607, 324, 266, 6021, 476, 272, 269, 18684, 6872, 324, 266, 1724, 476, 4375, 278, 2918, 269, 274, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 277, 6434, 5400, 476, 273, 269, 28071, 11011, 324, 266, 5400, 476, 2735, 8287, 269, 273, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 280, 269, 9340, 8287, 324, 266, 5400, 476, 272, 269, 275, 2641, 9834, 324, 266, 1321, 476, 6942, 2767, 269, 273, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 552, 8064, 321, 323, 28638, 272, 323, 7597, 20660, 1724, 320, 271, 321, 277, 324, 272, 321, 276, 322, 276, 320, 4962, 324, 8618, 476, 6924, 273, 276, 4097, 279, 8619, 272, 321, 4792, 274, 8660, 275, 321, 273, 576, 4962, 272, 320, 1815, 280, 4366, 22396, 272, 1815, 280, 325, 279, 325, 273, 476, 23669, 278, 7176, 325, 4037, 274, 742, 271, 322, 277, 3393, 8618, 2465, 272, 20623, 273, 611, 24374, 6507, 539, 31275, 325, 272, 321, 272, 323, 273, 22396, 1030, 320, 3199, 276, 25900, 275, 324, 28873, 5780, 12711, 9262, 476, 9032, 277, 278, 3607, 275, 325, 25090, 321, 278, 5379, 278, 324, 4200, 322, 276, 323, 576, 764, 277, 323, 29044, 325, 1015, 325, 321, 22396, 10019, 8619, 14596, 273, 323, 29300, 659, 273, 322, 30156, 4817, 322, 2378, 323, 272, 321, 876, 322, 278, 320, 275, 321, 23841, 322, 5952, 321, 276, 325, 4200, 320, 277, 6277, 325, 277, 321, 276, 321, 273, 323, 7176, 324, 280, 4097, 271, 321, 866, 8578, 324, 28638, 6021, 277, 274, 1372, 7176, 17304, 277, 1321, 323, 273, 26501, 321, 476, 277, 325, 7871, 320, 1030, 2412, 278, 7367, 2465, 2378, 2568, 277, 20623, 277, 4281, 322, 6767, 8618, 323, 4792, 273, 2041, 320, 278, 320, 866, 0, 266, 271, 692, 258, 948, 692, 271, 454, 26951, 454, 273, 454, 266, 10441, 271, 692, 4818, 1393, 11377, 323, 16535, 558, 346, 275, 2410, 271, 23180, 323, 16535, 558, 346, 275, 2410, 272, 23180, 323, 16535, 558, 346, 275, 2410, 273, 23180, 323, 16535, 558, 346, 275, 2410, 274, 23180, 323, 16535, 558, 346, 275, 2410, 275, 15732, 12914, 476, 2641, 267, 476, 1001, 279, 692, 258, 272, 454, 266, 15782, 454, 266, 272, 692, 11039, 10484, 275, 3442, 476, 271, 815, 476, 272, 10484, 275, 3442, 476, 272, 815, 476, 275, 10484, 275, 3442, 476, 273, 815, 476, 277, 10484, 275, 3442, 476, 274, 815, 476, 275, 3442, 476, 272, 815, 476, 275, 10484, 275, 3442, 476, 275, 815, 476, 275, 3442, 476, 271, 815, 476, 272, 10484, 272, 266, 275, 266, 277, 266, 275, 266, 272, 815, 476, 1626, 692, 1626, 267, 543, 1434, 9939, 2439, 12914, 476, 2641, 267, 476, 1001, 279, 454, 258, 273, 454, 266, 15996, 6246, 454, 266, 280, 692, 4818, 1393, 1384, 11377, 323, 16535, 558, 346, 275, 2410, 271, 23180, 323, 16535, 558, 346, 275, 2410, 272, 23180, 323, 16535, 558, 346, 275, 2410, 273, 23180, 323, 16535, 558, 346, 275, 2410, 274, 23180, 323, 16535, 558, 346, 275, 2410, 275, 15732, 11377, 8218, 15204, 2410, 347, 337, 743, 331, 347, 348, 1422, 327, 1467, 630, 272, 266, 272, 8203, 275, 17851, 261, 1422, 323, 16535, 558, 346, 275, 2410, 271, 4153, 10383, 476, 272, 317, 275, 24206, 476, 272, 317, 271, 1341, 1422, 323, 16535, 558, 346, 275, 2410, 272, 4153, 10383, 476, 272, 317, 274, 24206, 476, 272, 317, 272, 1341, 1422, 323, 16535, 558, 346, 275, 2410, 273, 4153, 10383, 476, 272, 317, 273, 24206, 476, 272, 317, 273, 1341, 1422, 323, 16535, 558, 346, 275, 2410, 274, 4153, 10383, 476, 272, 317, 272, 24206, 476, 272, 317, 274, 1341, 1422, 323, 16535, 558, 346, 275, 2410, 275, 4153, 10383, 476, 272, 317, 271, 24206, 476, 272, 317, 275, 8607, 11138, 630, 272, 266, 272, 8203, 275, 17851, 261, 1422, 323, 16535, 558, 346, 275, 2410, 271, 23180, 323, 16535, 558, 346, 275, 2410, 272, 23180, 323, 16535, 558, 346, 275, 2410, 273, 23180, 323, 16535, 558, 346, 275, 2410, 274, 23180, 323, 16535, 558, 346, 275, 2410, 275, 348, 8607, 11138, 476, 273, 317, 275, 17851, 261, 1422, 323, 16535, 558, 346, 275, 2410, 271, 23180, 323, 16535, 558, 346, 275, 2410, 272, 23180, 323, 16535, 558, 346, 275, 2410, 273, 23180, 323, 16535, 558, 346, 275, 2410, 274, 23180, 323, 16535, 558, 346, 275, 2410, 275, 348, 8607, 11138, 476, 1626, 17851, 261, 1422, 323, 16535, 558, 346, 275, 2410, 271, 23180, 323, 16535, 558, 346, 275, 2410, 272, 23180, 323, 16535, 558, 346, 275, 2410, 273, 23180, 323, 16535, 558, 346, 275, 2410, 274, 23180, 323, 16535, 558, 346, 275, 2410, 275, 348, 8607, 1422, 327, 1467, 1422, 754, 15204, 15732, 12914, 476, 2420, 267, 476, 1001, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 345, 272, 2020, 2690, 811, 2979, 12596, 267, 2638, 856, 938, 16754, 667, 1601, 1512, 692, 2162, 1548, 476, 277, 2035, 616, 4988, 538, 519, 17817, 540, 513, 1773, 2033, 18185, 2496, 323, 9057, 5364, 454, 7407, 17223, 689, 513, 4009, 5119, 454, 30956, 10490, 264, 610, 1923, 288, 2008, 3225, 566, 454, 320, 3948, 30418, 1079, 6310, 7215, 616, 3160, 454, 3225, 566, 540, 513, 7077, 454, 845, 3121, 547, 3113, 519, 2798, 538, 513, 7077, 454, 288, 343, 1341, 1635, 1341, 595, 345, 1341, 667, 815, 476, 271, 454, 9795, 454, 320, 14328, 5044, 540, 2338, 610, 6698, 799, 616, 3622, 11231, 538, 9343, 543, 9587, 454, 30350, 454, 320, 6366, 267, 1079, 8820, 2627, 602, 11498, 22543, 17802, 454, 4812, 454, 534, 3169, 4087, 538, 519, 2230, 267, 543, 814, 1100, 3259, 267, 8700, 267, 610, 11098, 0, 258, 22388, 842, 30698, 1806, 538, 5506, 692, 296, 1616, 547, 4001, 513, 2110, 1576, 538, 5506, 543, 594, 993, 3168, 585, 930, 4831, 10784, 30698, 1806, 538, 5506, 269, 594, 993, 5631, 5461, 538, 519, 2042, 4171, 2164, 3100, 547, 581, 15069, 7301, 1247, 789, 616, 711, 780, 296, 2907, 1336, 930, 1919, 269, 1280, 1383, 891, 1079, 7044, 1384, 1103, 1840, 267, 594, 723, 1336, 930, 20868, 1806, 540, 4351, 15211, 269, 1280, 1383, 713, 5863, 11532, 1384, 2690, 513, 2241, 4351, 3802, 267, 519, 1611, 1297, 540, 11564, 547, 1448, 3230, 321, 2330, 1354, 13059, 547, 519, 5169, 568, 3160, 547, 3230, 272, 2330, 585, 1169, 3230, 321, 1422, 928, 336, 476, 271, 29634, 296, 723, 849, 1336, 930, 4359, 1806, 971, 607, 1684, 3476, 3756, 3870, 519, 6793, 6345, 2496, 27745, 596, 5225, 798, 803, 513, 3870, 543, 2671, 930, 824, 1806, 540, 971, 2042, 286, 898, 781, 1360, 3078, 547, 1224, 16523, 13718, 1892, 589, 8390, 593, 623, 10154, 781, 3014, 281, 589, 1007, 1920, 7575, 547, 707, 3625, 269, 4595, 596, 723, 1453, 596, 616, 5461, 538, 1018, 1453, 789, 723, 281, 630, 272, 264, 1411, 1451, 602, 789, 723, 1079, 1453, 267, 835, 540, 799, 568, 513, 8004, 269, 1548, 568, 519, 5506, 519, 824, 1126, 568, 849, 513, 8004, 286, 630, 273, 264, 1411, 1451, 602, 789, 723, 1079, 1453, 267, 519, 4587, 1126, 513, 8004, 269, 1548, 568, 519, 5506, 519, 824, 1126, 568, 849, 513, 8004, 286, 15681, 1946, 519, 4267, 616, 10691, 519, 1482, 269, 4924, 476, 1626, 267, 476, 1001, 278, 693, 476, 1626, 281, 3393, 454, 1892, 7711, 12528, 26316, 27628, 834, 307, 749, 1946, 519, 4267, 616, 519, 590, 28719, 257, 568, 849, 4570, 1934, 269, 1306, 621, 782, 5673, 593, 519, 10054, 596, 1118, 585, 713, 2243, 269, 634, 1259, 621, 568, 2236, 1078, 538, 713, 6085, 594, 1131, 2161, 476, 272, 270, 273, 538, 1312, 568, 519, 2953, 2626, 269, 634, 1966, 568, 602, 596, 8263, 513, 3892, 609, 476, 275, 2829, 269, 6904, 568, 1175, 606, 13429, 585, 519, 7150, 1966, 269, 679, 25769, 3820, 28293, 20324, 1195, 318, 528, 318, 294, 20071, 318, 1706, 611, 2135, 4924, 476, 1704, 267, 476, 1001, 278, 693, 476, 1015, 281, 4029, 454, 1892, 631, 843, 569, 4277, 569, 267, 519, 4351, 3802, 1966, 596, 5018, 538, 2362, 7516, 568, 811, 7294, 269, 1280, 1269, 333, 815, 476, 273, 8961, 519, 1482, 1267, 10039, 281, 835, 7024, 547, 519, 5169, 513, 4732, 269, 769, 2362, 7516, 267, 519, 5506, 540, 13059, 547, 519, 5169, 568, 14553, 1063, 1269, 271, 259, 543, 1269, 272, 10608, 4924, 476, 1240, 267, 476, 1001, 278, 693, 476, 275, 281, 4343, 454, 1892, 589, 14911, 7662, 585, 16022, 1806, 538, 5506, 1131, 1291, 547, 2484, 1447, 4267, 3267, 8734, 476, 273, 267, 476, 1001, 280, 693, 476, 277, 281, 6795, 454, 1892, 7711, 12528, 26316, 27628, 834, 2791, 1451, 602, 789, 723, 1079, 1453, 267, 835, 540, 799, 568, 513, 8004, 1701, 21411, 267, 1577, 781, 2119, 547, 4952, 875, 596, 1223, 1451, 713, 269, 9320, 596, 1294, 689, 513, 3845, 602, 972, 616, 1079, 1453, 267, 543, 1287, 835, 8255, 2673, 2614, 602, 596, 1294, 1352, 568, 513, 8004, 269, 2107, 2161, 596, 1451, 713, 676, 23986, 2130, 519, 2385, 2161, 267, 834, 9515, 781, 835, 540, 1250, 1079, 3214, 1701, 1879, 596, 1589, 827, 621, 267, 1034, 2081, 602, 596, 1131, 7363, 1451, 713, 1344, 798, 711, 960, 585, 519, 834, 339, 4459, 257, 7664, 540, 519, 2243, 269, 1924, 713, 568, 711, 513, 2013, 540, 513, 4831, 10784, 30698, 2626, 267, 855, 513, 4831, 10784, 30698, 2243, 7664, 563, 1700, 1109, 300, 3430, 454, 13356, 476, 273, 267, 476, 1708, 271, 693, 476, 1240, 281, 6812, 692, 763, 1034, 4583, 4831, 10784, 30698, 5506, 3069, 1383, 568, 519, 3933, 1399, 8065, 9046, 692, 1892, 769, 513, 3014, 1397, 267, 972, 616, 1614, 9885, 3297, 799, 972, 616, 513, 1286, 543, 1079, 23161, 269, 1717, 267, 799, 7450, 10703, 1023, 799, 568, 7164, 547, 596, 267, 519, 6345, 563, 1892, 2659, 2832, 568, 547, 2824, 519, 7450, 3297, 799, 519, 1286, 568, 269, 1924, 267, 596, 979, 543, 1796, 538, 4395, 540, 513, 7450, 540, 707, 3903, 563, 1892, 2311, 713, 1448, 267, 7488, 540, 799, 7450, 596, 5697, 267, 519, 3014, 1397, 3984, 23297, 543, 10741, 835, 540, 519, 6967, 1079, 9885, 269, 1403, 596, 8359, 519, 7450, 609, 519, 1286, 267, 519, 3984, 2824, 338, 835, 540, 519, 1079, 6967, 9885, 693, 4351, 630, 5976, 3160, 5506, 264, 543, 10741, 602, 7450, 269, 1403, 596, 8359, 513, 7450, 609, 513, 23820, 267, 519, 3984, 2824, 338, 543, 10741, 519, 824, 7450, 609, 513, 23820, 563, 1892, 1411, 616, 2016, 519, 4781, 540, 7555, 1141, 596, 616, 543, 15175, 547, 519, 824, 6806, 7450, 780, 9989, 15175, 547, 519, 824, 7450, 2333, 707, 8458, 540, 10888, 286, 2107, 1281, 621, 711, 2339, 2496, 763, 2626, 568, 602, 621, 1281, 2339, 2436, 610, 711, 596, 6467, 269, 901, 568, 7620, 4831, 10784, 30698, 585, 2576, 7487, 713, 1966, 585, 519, 1101, 942, 780, 1892, 1403, 513, 1920, 814, 1079, 1453, 267, 693, 2547, 835, 540, 799, 568, 513, 8250, 267, 1018, 568, 519, 5506, 602, 1312, 540, 873, 616, 20766, 888, 1892, 1403, 513, 1920, 814, 1079, 1453, 267, 519, 9632, 540, 799, 568, 513, 8250, 267, 1018, 568, 519, 5506, 602, 1312, 540, 873, 616, 519, 20766, 2496, 288, 19444, 538, 5506, 1131, 2503, 519, 4267, 547, 1312, 891, 2055, 547, 581, 519, 1482, 267, 799, 789, 616, 711, 780, 13043, 609, 14068, 8571, 902, 6941, 713, 19433, 609, 513, 1390, 1650, 607, 513, 851, 540, 513, 5722, 1790, 739, 3126, 538, 17438, 7869, 692, 301, 2632, 4920, 1438, 667, 823, 692, 4131, 7606, 623, 267, 1627, 267, 681, 723, 1614, 3982, 18062, 780, 2252, 621, 568, 519, 2013, 602, 623, 568, 811, 2693, 547, 3094, 936, 1627, 267, 543, 1627, 568, 811, 2693, 547, 3094, 936, 681, 267, 568, 621, 519, 2013, 602, 623, 568, 2693, 547, 3094, 936, 681, 2496, 763, 2626, 267, 9490, 569, 267, 568, 1100, 269, 2290, 971, 18062, 12122, 568, 1269, 7268, 3847, 1422, 346, 273, 267, 273, 267, 275, 267, 275, 267, 280, 267, 280, 1422, 2431, 315, 9574, 315, 3847, 1422, 346, 476, 272, 267, 272, 267, 277, 267, 277, 267, 279, 267, 279, 9368, 1422, 9574, 315, 3847, 1422, 346, 476, 274, 267, 274, 267, 276, 267, 276, 267, 278, 267, 278, 1422, 2431, 1422, 16585, 6911, 263, 1607, 568, 1644, 547, 6138, 270, 788, 626, 655, 1108, 543, 568, 811, 1644, 547, 16148, 5506, 270, 10964, 3971, 338, 982, 6662, 12496, 540, 621, 24355, 9213, 568, 10732, 269, 12619, 532, 25925, 10425, 513, 3532, 12008, 1494, 542, 543, 8813, 18069, 780, 15463, 7390, 656, 19184, 525, 513, 4023, 11777, 543, 5638, 519, 1267, 780, 1892, 634, 11777, 3338, 538, 1261, 6758, 269, 25925, 568, 32570, 539, 1152, 593, 11728, 543, 26906, 269, 4173, 3965, 568, 2144, 1078, 543, 1352, 568, 1586, 2322, 1394, 547, 3207, 563, 1892, 634, 11777, 3338, 538, 570, 5661, 269, 25925, 568, 32570, 539, 543, 26906, 593, 11728, 269, 4173, 3965, 568, 2144, 1078, 543, 1352, 781, 2322, 1394, 547, 3207, 1586, 269, 2201, 13638, 267, 1352, 568, 2899, 1586, 32570, 267, 26906, 543, 6368, 2322, 1394, 547, 3207, 780, 1103, 9759, 267, 519, 32570, 902, 593, 631, 1180, 904, 543, 570, 1132, 17058, 616, 967, 626, 3907, 27720, 547, 1200, 780, 763, 1034, 1271, 2243, 1352, 781, 4280, 538, 519, 11042, 568, 692, 1432, 568, 707, 3841, 775, 630, 323, 12801, 540, 3661, 264, 602, 519, 11777, 15354, 538, 9843, 2496, 11693, 602, 12619, 532, 25925, 568, 26381, 10999, 7787, 543, 568, 3222, 540, 782, 519, 3652, 540, 519, 4603, 593, 10732, 267, 1018, 1058, 581, 1200, 2626, 2496, 1607, 1966, 4667, 2241, 593, 519, 2627, 855, 972, 616, 1312, 7440, 585, 519, 2626, 4399, 2765, 346, 272, 2410, 273, 4151, 543, 4399, 2765, 346, 272, 2410, 274, 4151, 543, 972, 568, 1100, 1455, 13618, 1851, 2413, 26381, 5505, 593, 713, 835, 780, 13706, 519, 1739, 3510, 1384, 1103, 606, 2712, 333, 267, 596, 723, 476, 3445, 11084, 540, 476, 274, 4778, 281, 2699, 267, 4544, 543, 5835, 269, 476, 1789, 11084, 616, 1634, 547, 581, 2699, 269, 2353, 519, 824, 11084, 616, 2901, 4544, 610, 5835, 780, 2467, 616, 1079, 27601, 1384, 1892, 20769, 6670, 589, 281, 589, 4351, 3440, 568, 6074, 269, 1411, 3094, 513, 16101, 952, 519, 3440, 568, 2699, 563, 1892, 20769, 6670, 645, 281, 589, 4351, 3440, 568, 6074, 269, 1411, 3094, 513, 16101, 952, 519, 3440, 568, 4544, 780, 9223, 281, 769, 799, 13169, 1131, 596, 1616, 547, 7119, 2496, 1892, 20769, 6670, 2473, 281, 589, 4351, 3440, 568, 6074, 269, 1411, 3094, 513, 16101, 952, 519, 3440, 568, 2901, 2699, 610, 5835, 563, 1892, 20769, 6670, 962, 281, 589, 4351, 3440, 568, 6074, 269, 1411, 3094, 513, 16101, 952, 519, 3440, 568, 2901, 4544, 610, 5835, 780, 9223, 281, 769, 799, 13169, 1131, 596, 1616, 547, 7119, 2496, 2252, 596, 616, 606, 3328, 1268, 267, 596, 9364, 3442, 20769, 6670, 589, 936, 20769, 6670, 645, 543, 20769, 6670, 962, 936, 20769, 6670, 2473, 780, 4913, 267, 621, 666, 581, 3254, 602, 972, 568, 1100, 1259, 547, 3651, 17831, 538, 513, 1259, 602, 1118, 713, 1413, 7787, 269, 2290, 1259, 547, 4308, 609, 713, 568, 547, 8831, 519, 1523, 540, 5506, 547, 602, 540, 791, 13440, 1047, 17831, 780, 1892, 589, 5929, 1383, 281, 1280, 713, 267, 594, 1589, 621, 781, 5393, 1271, 547, 5555, 5031, 602, 519, 2601, 15175, 568, 1732, 568, 1317, 1395, 1399, 6487, 799, 7450, 2965, 814, 519, 1286, 269, 1403, 513, 7450, 729, 8118, 693, 4351, 1310, 519, 3355, 3903, 267, 543, 5949, 711, 547, 2270, 519, 1286, 267, 1287, 707, 12918, 616, 2965, 1100, 1732, 547, 6467, 982, 711, 6467, 269, 634, 1448, 1373, 281, 634, 9583, 22480, 543, 5924, 13061, 1469, 540, 2436, 1395, 1399, 10741, 513, 7450, 1510, 519, 1286, 610, 693, 4351, 568, 2965, 3857, 958, 1271, 519, 2626, 540, 519, 2243, 269, 4924, 476, 1321, 267, 476, 1001, 278, 693, 476, 278, 281, 7918, 454, 1892, 19634, 940, 519, 2063, 865, 10777, 1412, 1706, 611, 2135, 3299, 621, 781, 1152, 19433, 673, 952, 596, 1118, 513, 7301, 13429, 602, 7787, 13283, 540, 835, 3903, 547, 1776, 1590, 17538, 513, 2362, 20772, 269, 11569, 267, 2016, 513, 7833, 1991, 267, 1142, 6292, 814, 519, 1482, 20772, 267, 855, 589, 543, 962, 723, 4642, 13065, 543, 865, 616, 15069, 30074, 547, 645, 543, 2473, 585, 513, 1981, 8584, 2091, 1268, 269, 898, 568, 4061, 11207, 15490, 547, 946, 713, 1412, 1706, 611, 2135, 262, 547, 3409, 513, 10638, 538, 519, 1523, 540, 5506, 269, 4924, 476, 1321, 267, 476, 1001, 278, 693, 476, 1015, 281, 4343, 454, 1892, 594, 1589, 519, 11875, 338, 6199, 21537, 2135, 568, 711, 513, 1434, 1383, 540, 513, 4831, 842, 30698, 5506, 1383, 267, 543, 6157, 711, 585, 513, 2110, 1576, 538, 5506, 630, 6518, 519, 20525, 786, 4001, 1040, 634, 11875, 338, 6199, 21537, 2135, 568, 5921, 547, 9414, 519, 3017, 1063, 1981, 543, 26427, 1014, 10462, 269, 4924, 476, 1321, 267, 476, 1001, 278, 693, 476, 1556, 281, 6246, 454, 1892, 634, 3933, 1399, 8065, 1966, 1058, 581, 12995, 547, 1331, 602, 519, 3984, 2141, 8761, 513, 23820, 269, 1403, 789, 1810, 1405, 2141, 7866, 513, 23820, 267, 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 ]
[ 3797, 568, 1031, 593, 519, 5945, 267, 1964, 543, 3500, 3635, 568, 5227, 563, 763, 22591, 960, 5346, 568, 1360, 2500, 5868, 540, 4887, 17229, 543, 12490, 538, 519, 3148, 607, 1134, 607, 4466, 519, 2014, 540, 5409, 2023, 30008, 538, 519, 3148, 269, 1306, 513, 2126, 621, 666, 581, 1031, 547, 281, 0, 14722, 4855, 513, 1715, 11905, 540, 513, 5682, 5264, 13937, 2506, 3827, 538, 634, 590, 9200, 1014, 18983, 2378, 15543, 454, 288, 2101, 851, 540, 21365, 519, 2916, 6433, 568, 538, 1620, 1018, 781, 8345, 538, 3047, 781, 5790, 538, 2474, 540, 8022, 267, 9023, 267, 543, 519, 2188, 4730, 883, 602, 269, 3767, 3744, 723, 4362, 513, 7372, 1007, 2707, 540, 6491, 9317, 12547, 630, 301, 273, 302, 1070, 835, 540, 519, 8511, 9362, 4929, 938, 4541, 547, 3636, 909, 563, 763, 966, 307, 289, 13317, 892, 19767, 12290, 519, 1942, 540, 519, 20296, 1544, 585, 519, 20778, 540, 6576, 543, 519, 3327, 16250, 23018, 5912, 540, 519, 3084, 4346, 269, 634, 4589, 7229, 1896, 7653, 543, 5232, 540, 8236, 3327, 29591, 630, 10915, 6748, 13818, 5434, 543, 741, 13180, 264, 676, 476, 18684, 271, 269, 898, 729, 5518, 32157, 30922, 267, 945, 2322, 971, 513, 3483, 4505, 593, 563, 303, 7035, 6509, 5267, 26645, 21074, 532, 5487, 6022, 2742, 18962, 547, 3247, 23419, 2095, 454, 763, 18962, 814, 1044, 21074, 532, 585, 476, 5655, 2395, 267, 543, 2982, 1100, 4191, 540, 16069, 563, 289, 4861, 532, 519, 521, 11170, 1782, 23419, 8928, 540, 5487, 6022, 2742, 781, 1869, 268, 518, 340, 696, 532, 18962, 949, 581, 519, 1152, 1259, 547, 2061, 519, 9552, 519, 25183, 8933, 616, 4929, 267, 513, 5053, 22267, 814, 6700, 269, 25512, 532, 8255, 1223, 581, 1031, 267, 2687, 547, 922, 12167, 267, 547, 28570, 519, 14686, 23419, 689, 13576, 883, 20651, 2127, 563, 24927, 540, 15979, 585, 14464, 11106, 281, 519, 3903, 568, 909, 547, 3425, 454, 6124, 1382, 883, 4496, 11656, 30563, 8761, 1344, 827, 519, 8129, 543, 15885, 540, 891, 4686, 4703, 602, 1223, 835, 1554, 581, 24776, 563, 300, 13926, 11656, 2282, 7232, 14390, 30563, 267, 610, 17252, 2026, 267, 616, 4686, 267, 855, 741, 4527, 2488, 519, 10578, 7872, 602, 4401, 267, 19695, 543, 524, 28240, 1223, 14693, 581, 24776, 585, 946, 593, 3047, 610, 538, 6611, 563, 6124, 1382, 267, 3370, 538, 519, 4643, 8767, 3163, 4750, 267, 11567, 1079, 4496, 11656, 30563, 538, 938, 1378, 17184, 18147, 547, 1451, 811, 827, 741, 8129, 267, 15885, 543, 3347, 609, 14368, 2572, 1336, 593, 3047, 563, 2304, 3486, 2319, 540, 6172, 520, 5505, 267, 10236, 5505, 267, 12779, 2632, 5505, 267, 543, 3235, 5505, 814, 7150, 602, 952, 519, 3328, 2837, 3085, 1406, 3247, 8375, 2394, 519, 1032, 476, 7742, 271, 267, 519, 3047, 949, 1831, 4652, 527, 585, 1480, 1272, 269, 769, 741, 960, 267, 789, 2808, 1614, 2009, 7653, 267, 538, 519, 10782, 540, 799, 519, 4525, 602, 723, 1279, 1044, 7740, 540, 2528, 543, 2249, 1646, 786, 1831, 3046, 1066, 563, 5445, 849, 4843, 12383, 602, 1397, 875, 1272, 786, 1689, 896, 1114, 7653, 538, 1614, 4525, 281, 519, 8835, 267, 3127, 267, 543, 519, 29268, 563, 763, 6554, 540, 519, 6739, 18966, 9516, 519, 1523, 540, 519, 1646, 540, 7250, 1648, 538, 6576, 267, 799, 17648, 519, 1965, 28344, 5471, 540, 513, 1164, 24289, 13143, 15129, 2872, 609, 606, 13143, 4320, 540, 909, 547, 476, 2004, 2929, 9748, 540, 7250, 676, 476, 13078, 271, 630, 13356, 872, 540, 519, 6554, 540, 519, 6739, 18966, 3143, 563, 290, 2734, 622, 645, 1601, 525, 595, 6817, 4934, 585, 10435, 4591, 869, 8693, 623, 1194, 2471, 269, 634, 5318, 5354, 540, 3549, 538, 519, 1158, 779, 2101, 11615, 616, 17528, 547, 1118, 2916, 26823, 2471, 602, 666, 581, 6027, 1996, 6209, 13452, 560, 6506, 267, 2687, 547, 519, 3163, 9122, 28080, 1115, 11036, 269, 634, 909, 3333, 582, 540, 519, 1895, 779, 1382, 568, 602, 267, 5103, 556, 4461, 540, 9746, 14773, 906, 2024, 532, 547, 1871, 6940, 267, 1034, 1870, 3401, 5749, 1406, 6972, 519, 2911, 563, 763, 2477, 1034, 7925, 547, 2916, 1689, 616, 10912, 585, 606, 834, 655, 1120, 1890, 533, 716, 257, 547, 10994, 8375, 5210, 269, 634, 1895, 6499, 782, 2477, 547, 3858, 9097, 3268, 547, 2057, 834, 30873, 31685, 257, 693, 519, 14232, 30505, 2918, 5870, 538, 29161, 269, 5682, 5859, 619, 616, 28409, 513, 27185, 821, 618, 540, 519, 11018, 267, 19696, 2042, 609, 10074, 585, 30896, 269, 634, 8693, 23977, 1676, 762, 17072, 630, 20302, 293, 264, 3081, 519, 2680, 568, 2565, 543, 3112, 7227, 563, 31323, 5932, 24920, 585, 1412, 30873, 6169, 262, 5989, 3785, 269, 0, 2026, 621, 568, 519, 2063, 3018, 540, 519, 4832, 2165, 267, 649, 723, 513, 7848, 540, 6266, 540, 1187, 2238, 9709, 585, 596, 713, 3018, 2336, 1607, 3018, 538, 2296, 267, 972, 568, 2469, 547, 581, 513, 2039, 540, 1114, 2238, 269, 1284, 723, 6192, 782, 519, 2296, 4559, 585, 519, 1032, 865, 713, 568, 606, 4316, 547, 946, 1346, 1983, 563, 31388, 281, 3883, 2689, 454, 307, 11698, 281, 14594, 547, 707, 4116, 454, 26607, 11888, 281, 1234, 10360, 5528, 454, 32637, 281, 8111, 12516, 9043, 454, 293, 27518, 281, 8111, 12516, 1650, 454, 1607, 3018, 538, 13004, 267, 649, 786, 581, 2519, 593, 1210, 1018, 596, 723, 19927, 713, 1032, 547, 4194, 513, 3099, 540, 13753, 269, 1411, 786, 973, 777, 1018, 596, 917, 827, 966, 3317, 543, 2961, 2651, 12222, 267, 5546, 543, 1840, 543, 12408, 563, 31388, 268, 966, 3317, 12222, 454, 307, 11698, 268, 2961, 2651, 12222, 454, 1607, 3018, 538, 1888, 267, 649, 786, 581, 11264, 476, 274, 16241, 4065, 4245, 543, 476, 273, 13662, 4047, 4245, 269, 1280, 1346, 1453, 945, 798, 711, 7119, 538, 11555, 4245, 267, 972, 786, 581, 606, 4244, 4781, 3177, 585, 1346, 2395, 269, 634, 1445, 585, 519, 11555, 4245, 568, 547, 1413, 693, 519, 4514, 2495, 540, 15976, 269, 1411, 786, 1451, 827, 513, 1906, 3909, 15976, 607, 1134, 607, 4207, 15976, 269, 2201, 13723, 267, 596, 786, 581, 2870, 513, 16968, 593, 835, 540, 519, 15976, 596, 723, 19927, 827, 269, 1280, 13662, 4047, 267, 596, 786, 581, 3168, 693, 9909, 543, 3853, 563, 31388, 281, 10289, 519, 4514, 10096, 540, 3909, 15976, 454, 307, 11698, 281, 12634, 16873, 538, 519, 5177, 454, 26607, 11888, 281, 8070, 518, 593, 519, 4514, 2495, 540, 15976, 454, 32637, 281, 13662, 4047, 281, 14134, 338, 543, 17644, 454, 293, 27518, 281, 13662, 4047, 281, 14134, 338, 543, 17644, 4484, 547, 1582, 454, 10376, 3018, 267, 649, 1445, 593, 513, 1305, 540, 1883, 1913, 585, 29745, 269, 1284, 786, 581, 3246, 1614, 10259, 4245, 1142, 3018, 602, 1445, 593, 519, 1883, 1913, 543, 10259, 3652, 3254, 2630, 269, 634, 10259, 4245, 786, 581, 3254, 593, 519, 3232, 9337, 269, 1703, 786, 849, 581, 513, 3232, 10259, 4161, 865, 1413, 856, 585, 891, 593, 519, 1153, 3896, 2336, 763, 3018, 781, 1883, 1913, 912, 1607, 3018, 781, 10259, 4341, 912, 2080, 616, 930, 1806, 540, 4630, 2684, 2158, 912, 2414, 2259, 707, 29745, 267, 596, 666, 946, 519, 1413, 267, 2161, 267, 3382, 267, 2328, 267, 2638, 1505, 267, 1711, 26829, 267, 2322, 519, 1913, 883, 5220, 610, 1711, 707, 1378, 8675, 585, 519, 1913, 269, 0, 9802, 476, 276, 267, 476, 1708, 272, 11764, 1067, 5842, 2787, 1772, 12830, 607, 17451, 454, 2414, 3346, 3627, 6022, 636, 2692, 979, 547, 281, 4757, 11333, 2593, 454, 303, 580, 933, 2644, 616, 930, 540, 519, 1034, 1455, 4832, 5993, 3376, 29566, 18047, 538, 519, 1970, 24301, 269, 4014, 789, 616, 1419, 561, 22981, 1927, 267, 972, 616, 476, 275, 1114, 2249, 540, 6477, 15634, 602, 616, 1455, 1934, 543, 811, 982, 476, 1015, 2249, 602, 2049, 607, 18047, 538, 4993, 543, 14151, 269, 4256, 2208, 6208, 543, 3210, 547, 10786, 15969, 616, 2147, 269, 898, 568, 2653, 547, 2697, 873, 676, 2168, 4162, 855, 835, 2249, 540, 6477, 15634, 666, 10316, 1125, 609, 1776, 543, 1831, 1447, 10646, 762, 563, 21595, 1067, 2549, 541, 13183, 630, 288, 3405, 13183, 639, 5493, 1067, 328, 264, 568, 4440, 519, 1034, 1455, 6477, 15634, 2249, 1336, 538, 713, 3148, 269, 898, 568, 1360, 10728, 543, 3728, 3395, 543, 666, 1831, 476, 277, 3952, 7381, 610, 2362, 952, 29252, 269, 898, 814, 835, 5394, 6565, 543, 1896, 14694, 8371, 269, 634, 3762, 616, 561, 766, 8032, 267, 4552, 1652, 543, 723, 10058, 3043, 15532, 593, 519, 9207, 728, 269, 898, 814, 15496, 512, 553, 17632, 602, 1831, 13888, 543, 838, 4176, 269, 901, 2249, 814, 1831, 11259, 547, 31946, 874, 657, 622, 538, 1082, 2694, 540, 519, 10315, 563, 16446, 10174, 28522, 15634, 630, 288, 3405, 13183, 639, 1427, 19745, 2716, 639, 264, 568, 4440, 519, 2034, 1034, 1455, 6477, 15634, 2249, 269, 898, 568, 10156, 543, 519, 6079, 9843, 616, 4130, 267, 538, 13421, 543, 723, 13888, 12636, 6438, 10253, 269, 898, 814, 6978, 24827, 593, 519, 19114, 543, 519, 15532, 616, 1419, 26070, 269, 634, 2539, 11710, 616, 1419, 26070, 269, 901, 2249, 786, 10316, 1125, 609, 6022, 1067, 2549, 541, 13183, 543, 1831, 1447, 10646, 762, 563, 307, 18443, 28522, 15634, 630, 288, 3405, 13183, 639, 11549, 639, 264, 568, 1360, 1114, 689, 6022, 11302, 610, 4414, 10174, 269, 898, 9428, 2539, 547, 519, 2666, 543, 814, 1082, 8371, 602, 2490, 20005, 269, 634, 3762, 616, 1454, 4130, 543, 7522, 518, 269, 634, 3875, 11710, 616, 1769, 3039, 2864, 982, 2699, 269, 634, 6079, 9843, 616, 1507, 267, 838, 4176, 543, 693, 519, 3490, 540, 519, 3762, 2864, 982, 538, 1279, 12363, 26389, 269, 1879, 9921, 267, 519, 8371, 616, 20202, 267, 13888, 1490, 30178, 602, 2736, 1055, 693, 519, 2666, 543, 6084, 1076, 609, 519, 2842, 563, 3682, 1598, 622, 28522, 15634, 630, 288, 3405, 13183, 639, 1025, 527, 32403, 264, 568, 1360, 2147, 547, 570, 18443, 28522, 15634, 855, 519, 11710, 616, 811, 605, 1598, 622, 267, 1332, 2673, 547, 519, 2666, 543, 1106, 1319, 338, 269, 634, 11710, 543, 3762, 616, 4130, 543, 26070, 2864, 982, 1769, 3039, 563, 8310, 1032, 649, 1185, 513, 2603, 540, 1216, 28447, 4610, 7783, 609, 674, 639, 10740, 689, 15604, 6409, 523, 547, 962, 6373, 267, 4270, 2023, 267, 543, 15011, 1177, 330, 9503, 269, 14175, 267, 543, 936, 22476, 540, 4610, 950, 2371, 1305, 5613, 1522, 723, 8329, 547, 519, 2068, 1646, 563, 293, 639, 10740, 530, 2830, 540, 1216, 28447, 267, 3361, 676, 674, 639, 10740, 3404, 903, 1602, 636, 535, 269, 838, 269, 562, 633, 636, 267, 568, 835, 540, 519, 9510, 4330, 674, 639, 10740, 530, 2830, 3676, 543, 519, 1034, 17215, 1271, 2068, 540, 1216, 28447, 5001, 269, 898, 4386, 593, 1169, 11782, 4849, 19778, 543, 1007, 14797, 540, 519, 19800, 3136, 547, 1764, 2504, 538, 1082, 2127, 1472, 519, 1158, 269, 7043, 3856, 6668, 540, 519, 19800, 538, 519, 3037, 543, 519, 4720, 540, 1007, 14797, 1118, 2359, 540, 674, 639, 10740, 530, 2830, 2352, 563, 21618, 540, 674, 639, 10740, 666, 3006, 581, 11821, 609, 1216, 10638, 267, 1256, 1498, 972, 568, 7899, 540, 1216, 538, 519, 2361, 269, 769, 962, 6373, 14860, 649, 723, 2938, 535, 639, 10740, 1966, 538, 930, 7670, 23926, 4610, 563, 22873, 658, 2589, 1419, 1331, 513, 20585, 267, 12457, 3039, 5920, 540, 3762, 602, 9551, 525, 513, 2530, 540, 2881, 326, 528, 2604, 543, 27315, 1154, 269, 12070, 1154, 568, 4553, 676, 513, 5835, 532, 540, 519, 3762, 543, 6368, 27394, 15727, 269, 634, 27315, 1154, 3622, 6238, 609, 519, 4587, 3762, 543, 22264, 547, 519, 7820, 16714, 269, 7201, 2175, 540, 1164, 26912, 4918, 5860, 610, 513, 1360, 11630, 3984, 267, 519, 3003, 2030, 949, 530, 2830, 543, 5884, 1369, 513, 2110, 942, 269, 18748, 539, 2371, 602, 798, 711, 5884, 616, 1419, 25224, 539, 543, 723, 14320, 4389, 11729, 269, 7201, 1164, 26912, 4918, 2604, 267, 19155, 949, 14927, 1055, 607, 789, 10836, 689, 519, 3037, 563, 22873, 658, 3968, 540, 19155, 2356, 4386, 689, 669, 31779, 2214, 2803, 630, 6135, 532, 2497, 264, 602, 723, 7670, 842, 1229, 538, 519, 3037, 269, 932, 31779, 2214, 2803, 10351, 3729, 543, 3132, 3968, 1728, 874, 2801, 602, 23309, 519, 3597, 16794, 267, 1419, 1141, 519, 14694, 5072, 10836, 269, 25124, 949, 581, 8476, 676, 16398, 610, 3441, 547, 519, 5072, 269, 634, 17343, 3935, 3278, 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 ]
[ 0, 3698, 568, 318, 548, 777, 12169, 792, 2187, 825, 952, 1032, 4939, 476, 275, 2652, 271, 912, 1038, 952, 1032, 4939, 476, 1911, 2652, 476, 271, 912, 2018, 952, 1032, 4939, 476, 6110, 2652, 476, 271, 912, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 2132, 8771, 454, 1038, 3116, 912, 2018, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 3698, 2395, 18425, 318, 24629, 12169, 792, 267, 24629, 2187, 825, 3923, 5091, 904, 815, 1496, 4029, 267, 2764, 267, 4029, 267, 1789, 267, 4029, 267, 1789, 267, 4029, 267, 4029, 267, 1789, 267, 4029, 267, 1789, 267, 4029, 2639, 825, 952, 568, 318, 548, 777, 12169, 792, 264, 543, 3923, 2652, 273, 912, 1038, 2132, 476, 3066, 454, 825, 2132, 3923, 5091, 904, 314, 24629, 268, 272, 2639, 20204, 815, 703, 9272, 2891, 11767, 513, 1032, 281, 27328, 24629, 815, 703, 9272, 2891, 11767, 513, 3923, 281, 27328, 17058, 284, 2395, 18425, 318, 24629, 12169, 792, 267, 24629, 994, 2745, 5560, 904, 264, 0, 258, 292, 5554, 2225, 547, 11878, 513, 16945, 1723, 2120, 3097, 2745, 2891, 8702, 547, 519, 16945, 1723, 2120, 32405, 19417, 815, 703, 9272, 2891, 1432, 568, 707, 4463, 538, 4699, 8119, 11723, 258, 321, 650, 4358, 609, 476, 271, 454, 321, 650, 815, 476, 271, 454, 258, 333, 6479, 952, 6898, 454, 604, 4463, 13843, 476, 6344, 912, 825, 1820, 2891, 2791, 666, 11878, 519, 5066, 541, 1723, 2120, 5602, 825, 2085, 815, 703, 9272, 2891, 1432, 568, 707, 2085, 27363, 825, 952, 2085, 2999, 1321, 912, 1038, 3915, 815, 476, 276, 454, 1038, 1820, 2891, 21609, 17914, 616, 1269, 276, 23528, 825, 8640, 2085, 10922, 1240, 912, 1038, 3915, 284, 278, 454, 1038, 1820, 2891, 10403, 19044, 23528, 825, 3116, 912, 1038, 3915, 815, 476, 1321, 454, 1038, 1820, 2891, 3849, 738, 8743, 619, 1269, 1321, 23528, 825, 6499, 318, 874, 9369, 815, 3403, 2891, 2710, 596, 1616, 707, 8666, 3144, 286, 962, 610, 715, 7790, 5602, 825, 952, 6499, 318, 874, 9369, 2525, 834, 312, 13426, 1038, 1948, 5417, 1269, 274, 454, 1038, 3915, 6834, 476, 274, 1948, 321, 650, 815, 3915, 1341, 476, 274, 454, 825, 1820, 6600, 257, 7312, 3803, 3915, 568, 2715, 321, 650, 348, 5602, 12828, 281, 3097, 825, 1820, 2891, 28989, 267, 596, 723, 547, 1332, 26339, 1354, 596, 666, 11878, 1701, 264, 8931, 0, 258, 288, 1982, 602, 21410, 519, 5207, 6060, 689, 513, 1592, 540, 8464, 780, 30700, 5334, 13990, 815, 3403, 2891, 19152, 513, 1592, 540, 2875, 8464, 20257, 20889, 4590, 1721, 562, 538, 2039, 263, 271, 267, 7003, 263, 30700, 5334, 13990, 15892, 825, 2875, 5334, 13990, 19559, 316, 815, 703, 263, 30700, 5334, 13990, 19559, 7481, 2745, 263, 30700, 5334, 13990, 2020, 327, 580, 4554, 19056, 815, 476, 271, 454, 1721, 544, 538, 2875, 5334, 13990, 912, 825, 952, 544, 3436, 327, 580, 4554, 19056, 912, 1038, 5207, 19056, 815, 544, 454, 2745, 6600, 10454, 5207, 6060, 538, 519, 1362, 568, 2433, 2715, 327, 580, 4554, 19056, 348, 8442, 0, 12163, 295, 650, 6172, 532, 1935, 547, 4194, 513, 521, 644, 18602, 11015, 454, 11900, 18944, 676, 853, 27181, 3406, 1315, 11938, 2409, 689, 4179, 2517, 523, 25769, 3820, 28293, 13478, 644, 18602, 5334, 6295, 318, 14607, 3596, 916, 454, 22873, 658, 3009, 23652, 689, 476, 5291, 2517, 24335, 341, 580, 2593, 4882, 644, 18602, 11258, 454, 12663, 960, 6140, 609, 7470, 28767, 3079, 540, 2418, 1031, 538, 519, 7439, 341, 580, 521, 644, 18602, 18258, 630, 7224, 2009, 2418, 2020, 9961, 713, 1982, 649, 723, 912, 567, 678, 568, 513, 4737, 267, 825, 552, 3052, 269, 1412, 288, 7055, 567, 524, 568, 513, 6241, 267, 552, 3052, 269, 1412, 274, 7055, 567, 521, 568, 513, 4009, 267, 552, 3052, 269, 1412, 288, 274, 7055, 567, 546, 568, 513, 7857, 267, 476, 552, 3052, 269, 1412, 280, 7055, 567, 579, 568, 513, 1770, 267, 567, 552, 3052, 269, 18358, 288, 272, 12887, 289, 272, 12887, 290, 272, 12887, 291, 272, 12887, 292, 272, 12887, 293, 272, 12887, 294, 272, 12887, 295, 272, 12887, 296, 272, 11172, 1948, 1770, 25292, 666, 581, 1412, 992, 3299, 1412, 26383, 3299, 610, 1412, 22780, 274, 343, 274, 7055, 567, 7470, 568, 513, 7470, 267, 324, 3052, 269, 476, 10037, 1875, 15918, 1678, 1347, 338, 267, 552, 3052, 269, 4358, 609, 29717, 1240, 1862, 278, 2483, 567, 575, 341, 815, 7470, 28767, 568, 513, 9598, 540, 2715, 338, 13645, 281, 1347, 348, 609, 1412, 271, 262, 610, 1412, 9538, 585, 7962, 625, 780, 14140, 338, 638, 4100, 1993, 22780, 274, 343, 274, 815, 3444, 3488, 4696, 294, 3299, 1412, 15704, 10807, 476, 1948, 1592, 5627, 476, 280, 10945, 281, 1101, 829, 1770, 281, 18358, 288, 272, 3299, 1412, 288, 275, 3299, 1412, 288, 278, 262, 2483, 14142, 32325, 815, 27835, 27778, 1393, 10414, 3299, 1412, 301, 528, 341, 580, 1261, 22618, 3299, 1412, 301, 528, 341, 580, 20865, 3299, 1412, 295, 650, 29725, 6883, 262, 8679, 3319, 11770, 580, 1080, 815, 1412, 271, 9538, 476, 1948, 634, 7857, 2418, 8204, 606, 8900, 4009, 454, 22780, 318, 18196, 815, 18358, 992, 3299, 1412, 26383, 3299, 1412, 22780, 274, 343, 274, 11172, 476, 1948, 1770, 25292, 666, 581, 1412, 992, 3299, 1412, 26383, 3299, 610, 1412, 22780, 274, 343, 274, 7055, 2745, 318, 5891, 815, 1412, 333, 5847, 262, 476, 1948, 18880, 281, 22373, 333, 5847, 2580, 834, 2381, 3065, 2580, 834, 8181, 7470, 2580, 834, 8181, 543, 3803, 21870, 2580, 834, 718, 3070, 21870, 257, 6540, 12163, 5814, 4351, 454, 5814, 942, 454, 5228, 2681, 4821, 1104, 7982, 267, 13910, 476, 1948, 1383, 281, 1820, 263, 20288, 11065, 299, 16604, 1341, 4159, 11415, 9239, 5035, 14181, 18602, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 7470, 267, 1397, 604, 284, 271, 269, 271, 2187, 1038, 1582, 20481, 604, 815, 1397, 604, 454, 1038, 1582, 31815, 338, 815, 1412, 11277, 27174, 4281, 280, 7055, 1038, 1582, 6155, 580, 1080, 815, 1412, 11277, 27174, 4281, 280, 7055, 1038, 1582, 269, 24105, 5091, 580, 1080, 815, 1412, 271, 269, 1412, 454, 1038, 1582, 269, 4900, 815, 1412, 5723, 7374, 9128, 21203, 296, 7055, 1038, 1582, 269, 22780, 318, 18196, 815, 18358, 992, 3299, 1412, 26383, 3299, 1412, 22780, 274, 343, 274, 23300, 1038, 1582, 4732, 638, 4100, 815, 1582, 6983, 1484, 4311, 269, 4900, 267, 1582, 31815, 338, 994, 1038, 1582, 269, 22780, 8217, 815, 27210, 3546, 1496, 1345, 6983, 1484, 4311, 269, 4900, 267, 524, 264, 585, 524, 538, 1582, 31815, 338, 316, 30492, 3546, 1496, 1345, 6983, 1484, 16868, 267, 1582, 31815, 338, 264, 585, 678, 538, 1582, 269, 4900, 316, 30492, 3546, 1496, 1345, 6983, 1484, 263, 3464, 267, 524, 338, 264, 585, 678, 338, 538, 18011, 27398, 3299, 1412, 291, 9128, 3299, 1412, 21203, 296, 10807, 585, 524, 338, 538, 18011, 11277, 3299, 1412, 27174, 3299, 1412, 4281, 280, 10807, 2639, 1038, 12467, 1038, 1582, 26509, 1080, 815, 9598, 18692, 2018, 630, 338, 267, 1496, 340, 585, 579, 538, 1582, 269, 22780, 8217, 952, 521, 538, 579, 8079, 585, 521, 538, 1582, 4732, 638, 4100, 454, 1038, 12467, 1038, 1582, 269, 701, 619, 815, 9598, 18692, 2018, 630, 338, 267, 1305, 4433, 636, 4311, 26509, 1080, 314, 338, 3910, 32582, 4297, 910, 2715, 338, 16585, 585, 521, 538, 1582, 4732, 638, 4100, 454, 1038, 12467, 1038, 1948, 22417, 7470, 883, 513, 9598, 540, 2715, 338, 13645, 281, 1347, 348, 609, 1412, 271, 262, 610, 1412, 9538, 585, 7962, 625, 563, 1038, 1948, 7151, 281, 27835, 288, 272, 9166, 1412, 275, 3299, 1412, 288, 273, 9166, 29717, 3299, 1412, 288, 274, 9166, 29717, 3299, 1412, 288, 275, 9166, 29717, 3299, 1412, 288, 276, 9166, 29717, 3299, 1412, 288, 277, 9166, 29717, 3299, 1412, 288, 278, 9166, 1412, 279, 3299, 1412, 288, 279, 9166, 29717, 3299, 1412, 288, 280, 9166, 4429, 1038, 1347, 338, 815, 1496, 322, 585, 524, 538, 7470, 952, 524, 538, 1582, 31815, 338, 610, 524, 538, 1412, 271, 9538, 2639, 1038, 7682, 7003, 263, 577, 1513, 264, 2652, 476, 10037, 454, 1038, 1582, 26942, 815, 7470, 454, 1038, 1582, 3052, 341, 318, 8181, 815, 1582, 26942, 28767, 4590, 1038, 1582, 3052, 341, 318, 9690, 815, 1582, 3052, 341, 318, 8181, 6983, 4878, 3890, 1948, 10261, 547, 946, 1599, 5299, 4590, 1038, 1582, 3052, 341, 318, 20813, 26555, 815, 7183, 454, 1038, 1582, 269, 20813, 26555, 291, 1112, 815, 7183, 454, 1038, 1582, 6745, 4973, 318, 20813, 26555, 815, 476, 271, 454, 1038, 1582, 8807, 1009, 5334, 638, 4100, 15058, 318, 22780, 274, 343, 274, 815, 1582, 6983, 1484, 3488, 4696, 294, 3299, 1412, 15704, 5073, 1038, 1582, 269, 14142, 8548, 1385, 338, 815, 27835, 27778, 1393, 10414, 3299, 1412, 301, 528, 341, 580, 1261, 22618, 3299, 1412, 301, 528, 341, 580, 20865, 3299, 1412, 295, 650, 29725, 6883, 262, 8679, 1038, 1582, 269, 14142, 8548, 1385, 815, 1412, 295, 650, 29725, 6883, 28847, 825, 1219, 3444, 4311, 267, 589, 267, 645, 2187, 1038, 1948, 9061, 1587, 540, 2609, 538, 589, 543, 2609, 538, 645, 563, 1038, 2132, 1496, 320, 1341, 536, 585, 513, 538, 589, 585, 536, 538, 645, 6540, 825, 1948, 5149, 18873, 454, 825, 1219, 1449, 4311, 2187, 1038, 1948, 589, 1305, 540, 4255, 602, 1590, 1780, 563, 1038, 7682, 7003, 4311, 4732, 638, 4100, 264, 2652, 476, 10037, 454, 1038, 7682, 7003, 4311, 269, 22780, 8217, 264, 2652, 476, 2767, 454, 1038, 7682, 782, 12759, 4311, 26509, 1080, 314, 338, 8079, 2652, 476, 274, 585, 521, 538, 1582, 4732, 638, 4100, 994, 1038, 7682, 782, 12759, 4311, 269, 701, 619, 314, 338, 8079, 2652, 476, 736, 585, 521, 538, 1582, 4732, 638, 4100, 2020, 1038, 7682, 1582, 26509, 1080, 9131, 290, 273, 11172, 2652, 1496, 9131, 288, 273, 3299, 1412, 289, 273, 3299, 1412, 290, 273, 3299, 1412, 291, 273, 3299, 1412, 292, 273, 3299, 1412, 293, 273, 3299, 1412, 294, 273, 3299, 1412, 295, 273, 3299, 1412, 296, 273, 11172, 2676, 4449, 7386, 18358, 290, 272, 3299, 1412, 290, 273, 3299, 1412, 290, 274, 3299, 1412, 290, 275, 3299, 1412, 290, 276, 3299, 1412, 290, 277, 3299, 1412, 290, 278, 3299, 1412, 290, 279, 3299, 1412, 290, 280, 11172, 2676, 4449, 7386, 18358, 288, 272, 3299, 1412, 288, 273, 3299, 1412, 288, 274, 3299, 1412, 289, 272, 3299, 1412, 289, 273, 3299, 1412, 289, 274, 3299, 1412, 290, 272, 3299, 1412, 290, 273, 3299, 1412, 290, 274, 11172, 6540, 1038, 7682, 1582, 269, 701, 619, 9131, 290, 273, 11172, 2652, 27835, 288, 273, 3299, 1412, 289, 273, 3299, 1412, 291, 273, 3299, 1412, 292, 273, 3299, 1412, 293, 273, 3299, 1412, 294, 273, 3299, 1412, 295, 273, 3299, 1412, 296, 273, 3299, 1412, 290, 272, 3299, 1412, 290, 274, 22779, 4449, 7386, 1412, 290, 275, 3299, 1412, 290, 276, 3299, 1412, 290, 277, 3299, 1412, 290, 278, 3299, 1412, 290, 279, 3299, 1412, 290, 280, 3299, 1412, 288, 272, 3299, 1412, 288, 274, 3299, 1412, 289, 272, 3299, 1412, 289, 274, 262, 10926, 1038, 2132, 1412, 5472, 4255, 1780, 9538, 692, 825, 476, 10310, 3474, 572, 513, 25373, 476, 10310, 454, 825, 1219, 7470, 28767, 4311, 2187, 1038, 5727, 3519, 3200, 7470, 883, 513, 9598, 540, 2715, 338, 13645, 281, 1347, 348, 609, 1412, 271, 262, 610, 1412, 9538, 585, 7962, 625, 27969, 454, 1038, 1948, 7151, 281, 27835, 288, 272, 9166, 1412, 275, 3299, 1412, 288, 273, 9166, 29717, 3299, 1412, 288, 274, 9166, 29717, 3299, 1412, 288, 275, 9166, 29717, 3299, 1412, 288, 276, 9166, 29717, 3299, 1412, 288, 277, 9166, 29717, 3299, 1412, 288, 278, 9166, 1412, 279, 3299, 1412, 288, 279, 9166, 29717, 3299, 1412, 288, 280, 9166, 4429, 1038, 1347, 338, 815, 1496, 322, 585, 524, 538, 1582, 26942, 952, 524, 538, 1582, 6155, 580, 1080, 610, 524, 538, 1412, 271, 9538, 2639, 1038, 7682, 7003, 263, 577, 1513, 264, 2652, 476, 10037, 454, 1038, 2132, 9598, 18750, 760, 4311, 4732, 638, 4100, 267, 1347, 338, 11723, 825, 1948, 4790, 571, 842, 3252, 454, 825, 1219, 10945, 6831, 320, 6748, 26174, 318, 20813, 26555, 4311, 2187, 1038, 1948, 4024, 4309, 513, 7470, 4904, 609, 2418, 543, 513, 7526, 14682, 5090, 28767, 543, 786, 2132, 912, 1038, 1948, 567, 910, 513, 1305, 540, 782, 10945, 2348, 519, 5021, 1297, 540, 1476, 331, 1080, 454, 1038, 1948, 567, 910, 519, 1297, 540, 7526, 630, 842, 264, 585, 713, 5021, 12163, 1038, 3193, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 1507, 1920, 24804, 1870, 1572, 834, 29834, 781, 31687, 1115, 257, 4092, 538, 519, 2295, 540, 513, 844, 5593, 2370, 4884, 3957, 32712, 6229, 269, 1358, 1185, 1044, 1818, 8949, 19471, 31496, 585, 5481, 543, 941, 1634, 2429, 519, 3148, 585, 741, 2189, 10366, 543, 2298, 5820, 269, 1717, 267, 1813, 547, 2810, 14051, 543, 14949, 2527, 1790, 22004, 8925, 14700, 519, 2344, 267, 789, 5185, 13888, 6735, 689, 4914, 9755, 269, 901, 2322, 513, 1713, 8833, 593, 8055, 781, 31687, 1115, 267, 16550, 873, 547, 2015, 9505, 1154, 1524, 741, 11537, 6300, 780, 3080, 1554, 267, 519, 8227, 540, 8055, 781, 31687, 1115, 267, 6004, 269, 16399, 267, 16686, 2390, 606, 2376, 7234, 1585, 22257, 4507, 6322, 693, 5009, 3486, 4123, 1247, 8195, 7863, 3084, 4690, 269, 1306, 646, 1224, 998, 621, 267, 1010, 4064, 1396, 909, 609, 4126, 269, 1261, 7691, 602, 891, 3800, 1223, 5732, 4688, 711, 1152, 1010, 4558, 855, 849, 1082, 2199, 4213, 899, 1010, 1378, 269, 2991, 782, 267, 952, 8045, 7157, 267, 789, 1131, 948, 1377, 519, 4730, 2361, 1996, 8185, 13564, 1242, 4914, 15712, 780, 16031, 269, 16399, 4956, 547, 1491, 2962, 676, 1603, 5022, 547, 1010, 13222, 28409, 873, 547, 15357, 6793, 20038, 585, 6469, 6080, 269, 1677, 1010, 9983, 267, 646, 4607, 513, 5401, 3210, 18136, 1864, 547, 7390, 513, 5180, 14456, 4901, 827, 7598, 930, 540, 891, 1360, 4507, 538, 32712, 6229, 269, 7402, 2227, 3022, 267, 646, 3459, 28487, 532, 8284, 2146, 2818, 945, 11262, 2147, 24284, 267, 8108, 513, 19618, 4395, 6131, 547, 8497, 741, 24454, 780, 2026, 2262, 3262, 827, 741, 3646, 267, 865, 1705, 1489, 689, 1312, 12543, 543, 21046, 7567, 269, 4658, 3323, 16734, 875, 2629, 12725, 21433, 2472, 941, 547, 4509, 519, 1915, 543, 19259, 540, 10034, 1175, 899, 32712, 6229, 2066, 519, 2197, 269, 17652, 2614, 267, 1256, 3677, 14078, 3576, 5469, 543, 21378, 741, 2597, 3297, 519, 2014, 269, 898, 8604, 602, 6368, 267, 1310, 1296, 540, 6560, 267, 1919, 1522, 2490, 1472, 585, 8055, 781, 31687, 1115, 543, 9118, 1866, 6849, 9838, 2591, 780, 4913, 267, 12556, 1185, 835, 811, 7455, 4252, 538, 4558, 269, 4438, 513, 6296, 14791, 5342, 896, 1007, 9431, 4808, 267, 8524, 832, 4362, 1945, 26648, 1107, 15244, 540, 10363, 6878, 6456, 1369, 1978, 10627, 2583, 540, 17711, 3812, 676, 9039, 824, 982, 8055, 781, 31687, 1115, 2933, 256, 27933, 560, 1857, 856, 322, 787, 543, 2923, 535, 1066, 5414, 267, 519, 2899, 1532, 601, 3437, 10661, 1631, 11542, 15034, 540, 28855, 1944, 7082, 3106, 543, 14944, 1456, 3972, 1369, 519, 2872, 780, 293, 3166, 609, 1761, 25010, 267, 6004, 269, 16399, 5433, 25997, 547, 2097, 2973, 827, 1018, 5963, 5949, 269, 13012, 1991, 267, 26525, 547, 1832, 513, 15615, 8015, 19394, 6455, 267, 646, 1185, 759, 9285, 547, 1210, 10464, 267, 28302, 21187, 13859, 676, 606, 796, 2675, 14442, 592, 748, 29449, 269, 1133, 2041, 4385, 560, 547, 1864, 267, 2705, 267, 1346, 1482, 6464, 5828, 856, 547, 581, 5739, 950, 28041, 936, 6905, 5712, 269, 9710, 337, 1881, 676, 1010, 12161, 267, 6004, 269, 16399, 21334, 539, 3388, 267, 12247, 532, 2760, 1586, 547, 14207, 3741, 585, 2110, 3856, 2744, 780, 15987, 10969, 730, 676, 519, 13414, 267, 519, 2146, 8359, 547, 1796, 676, 8055, 781, 31687, 1115, 269, 20876, 519, 5609, 1356, 640, 540, 6004, 269, 16399, 781, 3284, 1108, 543, 24330, 676, 1010, 7029, 547, 6439, 4328, 2250, 4636, 338, 267, 17137, 678, 718, 1221, 3297, 519, 2377, 3430, 1194, 1476, 1254, 2044, 269, 8625, 267, 789, 5249, 24091, 547, 6963, 3634, 10346, 267, 2707, 31719, 22876, 3293, 5820, 267, 543, 22919, 4503, 2666, 269, 8528, 1103, 519, 1439, 267, 711, 1152, 1705, 6004, 269, 16399, 6707, 2936, 8825, 4507, 547, 5351, 10010, 4213, 899, 1010, 1378, 267, 855, 646, 849, 7153, 607, 513, 22299, 585, 8699, 543, 11413, 1369, 519, 2872, 269, 3571, 3527, 6039, 607, 513, 22880, 12576, 540, 519, 2956, 540, 7555, 6109, 538, 2418, 1256, 1282, 4101, 2053, 1107, 6038, 14304, 1312, 1010, 13055, 543, 519, 7554, 3838, 1851, 2828, 267, 3885, 267, 543, 12543, 538, 32712, 6229, 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, 4507, 616, 538, 1747, 547, 3895, 3486, 4123, 1247, 17420, 3084, 4690, 888, 2467, 616, 1896, 4507, 538, 1747, 602, 3895, 3486, 4123, 1247, 17420, 3084, 4690, 1384, 272, 269, 20579, 14554, 281, 22749, 949, 20818, 29388, 593, 16865, 5370, 547, 2149, 6469, 6080, 689, 4914, 6735, 780, 273, 269, 2372, 582, 553, 281, 22749, 949, 3970, 519, 7274, 540, 16865, 5370, 547, 2149, 6469, 6080, 780, 274, 269, 4427, 338, 573, 625, 281, 22749, 949, 1683, 24307, 547, 6469, 6080, 547, 14526, 609, 4914, 12696, 780, 275, 269, 6348, 2389, 541, 858, 7496, 281, 22749, 949, 946, 1875, 2389, 541, 858, 7496, 971, 607, 1072, 543, 3106, 6042, 610, 2930, 4441, 547, 6615, 20558, 780, 276, 269, 5131, 4123, 11650, 281, 22749, 949, 21907, 1863, 4123, 11650, 609, 824, 2477, 547, 2569, 4123, 7496, 267, 3895, 6735, 543, 4123, 267, 543, 11745, 1125, 6042, 780, 277, 269, 25827, 3959, 4027, 281, 22749, 949, 17997, 7214, 3959, 2924, 547, 2149, 6469, 6080, 689, 4914, 2841, 527, 1470, 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, 6637, 476, 1015, 281, 13898, 1299, 3203, 281, 4197, 30527, 543, 4317, 30527, 692, 5331, 596, 2811, 6972, 998, 513, 9754, 267, 2921, 538, 519, 7524, 4778, 543, 4241, 5546, 602, 3295, 596, 269, 5620, 596, 2479, 11074, 547, 1589, 827, 1946, 5159, 3442, 547, 5862, 1919, 519, 1259, 789, 798, 286, 2290, 1271, 2601, 568, 519, 1148, 3350, 1634, 607, 30527, 256, 901, 3184, 786, 6338, 596, 547, 30527, 543, 922, 811, 13998, 6857, 1055, 3333, 2393, 1572, 4317, 30527, 269, 1411, 3513, 3605, 741, 12583, 267, 4162, 267, 4583, 5159, 267, 543, 7506, 593, 824, 5322, 269, 1924, 1577, 781, 4685, 883, 519, 8748, 1158, 540, 10952, 1148, 2439, 1262, 4089, 476, 272, 281, 1548, 568, 30527, 15140, 5970, 596, 4862, 519, 8360, 834, 320, 4605, 568, 4502, 513, 8536, 1913, 22172, 4270, 267, 30527, 3217, 602, 2856, 12517, 256, 30527, 568, 606, 1148, 3350, 1141, 5159, 11441, 547, 9446, 5396, 5168, 2685, 543, 8308, 267, 1175, 899, 513, 25135, 14653, 3144, 676, 513, 8254, 269, 5502, 540, 4998, 1944, 1004, 610, 4946, 28531, 2609, 267, 7464, 1235, 1445, 593, 4948, 1272, 543, 3871, 269, 1358, 3494, 538, 6029, 519, 5898, 538, 8723, 8090, 543, 13830, 4641, 607, 5702, 607, 2009, 780, 265, 7078, 15846, 5994, 7206, 707, 5172, 4620, 2915, 269, 1323, 26758, 1242, 4528, 1522, 1397, 873, 609, 3501, 9663, 543, 6505, 4544, 4064, 630, 16838, 1498, 649, 917, 5243, 1810, 1405, 723, 4544, 4064, 32656, 589, 7464, 2065, 26841, 1131, 7001, 1169, 1469, 910, 5310, 513, 1906, 29565, 2583, 2282, 741, 10772, 610, 513, 2189, 12094, 540, 6960, 538, 741, 9663, 780, 1262, 4089, 476, 273, 281, 28038, 4317, 30527, 4373, 3086, 267, 4952, 9256, 30527, 609, 1514, 16555, 269, 2334, 781, 4010, 1018, 4317, 30527, 6663, 547, 3035, 256, 2755, 1869, 3020, 547, 1272, 267, 4317, 30527, 6212, 4481, 593, 519, 2729, 543, 9620, 540, 2324, 11665, 2043, 543, 2950, 269, 1635, 26124, 513, 1769, 593, 6848, 2152, 267, 891, 5159, 4126, 547, 8300, 1689, 543, 8141, 7391, 780, 265, 7078, 15846, 16514, 513, 14297, 2749, 8265, 4904, 609, 12051, 4600, 1282, 741, 12899, 2736, 269, 13298, 982, 3274, 5373, 2043, 4189, 32409, 267, 513, 4317, 7464, 626, 18048, 949, 5031, 519, 25874, 593, 741, 8188, 267, 519, 11315, 9403, 540, 741, 9660, 267, 610, 519, 16081, 6244, 5624, 789, 9468, 269, 1452, 3877, 948, 6655, 519, 5048, 827, 4074, 2175, 543, 4683, 2713, 780, 1262, 4089, 476, 274, 281, 17959, 543, 6206, 17972, 4373, 13828, 30527, 543, 4317, 30527, 3323, 538, 2342, 1282, 519, 4571, 268, 866, 628, 2540, 950, 2486, 3459, 6385, 4657, 1813, 547, 22713, 269, 4658, 6410, 547, 4872, 5275, 960, 267, 4611, 538, 1007, 1514, 5049, 543, 22880, 24716, 1063, 5763, 543, 6710, 269, 1306, 513, 1267, 267, 5159, 4941, 547, 2992, 891, 10593, 538, 741, 11247, 780, 2080, 616, 2947, 1883, 2934, 540, 1312, 30527, 543, 4317, 30527, 1384, 272, 269, 3493, 11881, 1759, 593, 8343, 281, 5637, 5322, 1871, 6297, 1353, 540, 1483, 3734, 5396, 563, 273, 269, 28064, 10207, 281, 5871, 2897, 2238, 1831, 17709, 540, 7499, 3408, 563, 274, 269, 3680, 766, 540, 18941, 1275, 281, 717, 821, 616, 27105, 4664, 282, 3079, 267, 972, 781, 19969, 543, 13597, 563, 275, 269, 16709, 540, 4207, 4798, 281, 13595, 2339, 1419, 9356, 1699, 2621, 610, 2442, 2528, 563, 276, 269, 22716, 529, 593, 5888, 543, 4480, 281, 6736, 695, 3539, 2476, 689, 2757, 6264, 16725, 267, 891, 1568, 2226, 1164, 4441, 540, 23477, 780, 1262, 4089, 476, 275, 281, 20821, 2368, 27587, 4373, 6624, 16805, 26719, 8329, 3648, 547, 891, 1079, 5322, 269, 1280, 3236, 267, 29775, 1511, 3938, 321, 564, 543, 14639, 6363, 3757, 9809, 12251, 6660, 2280, 941, 7986, 3943, 7464, 626, 5159, 945, 9676, 6917, 8916, 543, 2324, 11665, 5515, 269, 11531, 267, 5053, 4487, 17630, 20653, 5451, 345, 4302, 345, 13556, 10853, 23609, 5553, 4505, 855, 7494, 6766, 2663, 7464, 1235, 780, 1103, 4317, 30527, 267, 8037, 5159, 1331, 1977, 18048, 7338, 661, 752, 1231, 267, 2296, 2006, 19124, 18999, 2917, 267, 543, 11204, 544, 1116, 626, 21280, 2946, 595, 2211, 324, 744, 549, 345, 1723, 269, 4256, 3532, 2592, 2232, 3584, 971, 607, 4074, 2924, 267, 11776, 267, 543, 8635, 780, 1262, 4089, 476, 276, 281, 22684, 543, 7831, 532, 8177, 4373, 4322, 14262, 5322, 21490, 519, 2619, 585, 2104, 5481, 540, 5159, 269, 6764, 1833, 1143, 267, 20309, 1143, 267, 543, 10699, 1143, 1223, 711, 2291, 1510, 1101, 4101, 2757, 8155, 1305, 8521, 676, 21434, 1143, 543, 3026, 16438, 817, 6291, 269, 4634, 2221, 267, 21706, 267, 32349, 267, 8642, 9858, 267, 543, 1918, 2209, 2721, 6667, 689, 30527, 543, 4317, 30527, 780, 3528, 1620, 891, 9565, 5322, 267, 596, 1932, 666, 5660, 1148, 593, 4514, 2157, 1247, 1565, 3407, 4245, 827, 1686, 267, 2486, 267, 543, 1480, 2470, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 17779, 1148, 3350, 568, 606, 1898, 5748, 547, 1020, 607, 606, 7376, 269, 3502, 1152, 1281, 713, 3350, 4001, 596, 519, 2956, 540, 2930, 1983, 267, 621, 20964, 519, 13766, 540, 2348, 513, 5075, 563, 3725, 16117, 568, 513, 5614, 4580, 585, 1082, 1114, 1148, 6163, 267, 1256, 952, 596, 1616, 547, 979, 1360, 20419, 344, 610, 7493, 269, 4595, 782, 1148, 1121, 1460, 525, 519, 1158, 1472, 721, 267, 17779, 11414, 596, 875, 547, 11100, 2930, 1983, 609, 6138, 563, 2005, 779, 942, 585, 606, 1148, 1686, 3992, 269, 2913, 779, 1491, 513, 1413, 693, 519, 1483, 626, 2511, 267, 1018, 519, 2165, 17779, 1797, 267, 543, 875, 596, 666, 1451, 689, 519, 18544, 563, 268, 1548, 568, 519, 30527, 3203, 11873, 888, 268, 1548, 616, 519, 476, 276, 18567, 540, 30527, 3203, 888, 268, 6201, 540, 25587, 30527, 20551, 454, 268, 634, 18882, 540, 30527, 607, 606, 3203, 11873, 454, 268, 634, 4317, 543, 11572, 17644, 540, 30527, 454, 268, 634, 8177, 540, 30527, 454, 268, 3203, 28073, 27837, 676, 30527, 454, 268, 30527, 568, 513, 5853, 1049, 11873, 2334, 779, 9717, 17510, 547, 3509, 26505, 454, 1432, 568, 519, 30527, 3203, 11873, 888, 2691, 729, 519, 2063, 942, 596, 6594, 1686, 10367, 286, 634, 1483, 529, 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, 28073, 1315, 30527, 1315, 4317, 30527, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31057, 494, 269, 3852, 374, 269, 18841, 377, 479, 12631, 269, 14668, 30307, 494, 269, 5221, 646, 568, 513, 561, 3511, 543, 519, 4651, 23476, 267, 2901, 540, 519, 561, 3511, 267, 610, 540, 519, 9114, 269, 4935, 646, 561, 1221, 547, 18832, 267, 968, 31800, 4927, 711, 15983, 5884, 892, 630, 7049, 8412, 476, 274, 281, 275, 1040, 634, 2376, 1354, 12631, 10382, 16483, 394, 362, 16708, 1281, 711, 693, 782, 2061, 12631, 10382, 16483, 394, 362, 16708, 1373, 3769, 538, 519, 2392, 6510, 269, 898, 568, 267, 2705, 267, 2009, 547, 1491, 713, 21372, 4845, 630, 4818, 269, 3627, 476, 279, 281, 2918, 264, 1360, 8335, 267, 543, 547, 1118, 18841, 377, 479, 12631, 10382, 16483, 394, 362, 16708, 519, 1641, 540, 519, 2063, 16083, 282, 24269, 513, 812, 3717, 996, 1010, 9114, 267, 646, 3717, 996, 540, 1010, 1378, 267, 585, 1010, 4651, 849, 568, 513, 561, 3511, 281, 1775, 269, 552, 269, 513, 812, 676, 14084, 605, 8010, 338, 5128, 547, 581, 513, 1126, 540, 519, 26881, 9117, 538, 10103, 609, 1010, 2385, 720, 269, 1809, 519, 1689, 540, 1641, 689, 2048, 1492, 26881, 685, 547, 2048, 320, 812, 685, 6956, 568, 1360, 26101, 269, 1656, 1934, 1586, 513, 1395, 560, 9317, 31495, 13133, 566, 568, 19016, 1227, 2009, 282, 1765, 8072, 1721, 519, 26881, 568, 513, 561, 3511, 267, 543, 1010, 4651, 849, 10200, 898, 568, 711, 9490, 602, 717, 333, 21216, 540, 519, 2034, 543, 3791, 5553, 1058, 723, 6836, 547, 530, 2590, 513, 7254, 794, 585, 741, 9735, 1949, 856, 540, 519, 12591, 540, 590, 269, 3627, 269, 898, 568, 9490, 602, 1022, 2413, 13915, 1058, 723, 2219, 27313, 1108, 865, 3063, 341, 698, 656, 15095, 609, 519, 18381, 540, 519, 19549, 20227, 563, 3393, 269, 31057, 494, 24556, 30307, 376, 24818, 30307, 366, 18841, 377, 483, 16483, 15403, 269, 1809, 607, 585, 2725, 267, 1317, 594, 2161, 519, 5168, 267, 9493, 3494, 2725, 711, 281, 31057, 494, 24556, 395, 492, 568, 538, 900, 874, 1738, 4334, 547, 519, 6543, 486, 15770, 395, 491, 17385, 16483, 24341, 19084, 269, 3807, 607, 519, 26881, 2048, 6365, 711, 538, 519, 5168, 685, 1317, 540, 1010, 2067, 32238, 689, 621, 267, 865, 789, 798, 711, 3398, 519, 5168, 950, 4906, 3091, 621, 547, 873, 269, 1358, 786, 6432, 547, 519, 26881, 630, 11990, 476, 279, 281, 4343, 5148, 789, 786, 3494, 513, 9114, 281, 855, 519, 31050, 6340, 519, 5168, 789, 786, 711, 3494, 269, 634, 13249, 3159, 2899, 811, 267, 855, 811, 9090, 6829, 281, 735, 269, 3627, 476, 272, 281, 276, 282, 3627, 476, 272, 281, 1015, 268, 1556, 267, 3627, 476, 273, 281, 2190, 282, 3627, 476, 274, 281, 1015, 282, 3627, 476, 274, 281, 866, 563, 5379, 269, 26018, 29111, 19084, 31057, 494, 394, 378, 18841, 377, 495, 269, 31057, 494, 16575, 394, 511, 24556, 395, 485, 15770, 15403, 269, 6904, 540, 596, 20903, 996, 2725, 540, 5609, 286, 6423, 593, 3627, 476, 274, 281, 736, 267, 3627, 476, 1626, 281, 279, 269, 1280, 12631, 15770, 16708, 30307, 370, 735, 269, 3627, 476, 1015, 281, 3451, 282, 476, 272, 3627, 476, 273, 281, 273, 269, 3509, 6450, 4157, 539, 2441, 543, 9788, 5609, 547, 3571, 5279, 281, 9039, 4547, 5609, 1753, 547, 3571, 25903, 269, 1703, 568, 519, 14734, 17965, 540, 6555, 6541, 538, 519, 4161, 269, 1548, 6180, 531, 812, 1131, 546, 732, 547, 1118, 621, 286, 6423, 593, 3627, 476, 279, 281, 3066, 267, 543, 735, 269, 3627, 476, 1691, 281, 1789, 267, 3627, 476, 1428, 281, 1015, 282, 476, 272, 3627, 476, 274, 281, 276, 282, 476, 272, 8834, 476, 272, 281, 866, 282, 476, 272, 8834, 476, 273, 281, 2420, 269, 8074, 519, 22466, 598, 10811, 542, 1063, 5609, 3622, 543, 7301, 3125, 267, 607, 1063, 32660, 543, 5168, 267, 3627, 476, 278, 281, 1240, 269, 12344, 649, 616, 547, 1174, 513, 23249, 538, 799, 1261, 3649, 1080, 585, 741, 2626, 547, 3571, 4161, 269, 1809, 789, 616, 607, 8572, 547, 5279, 13924, 609, 5609, 607, 547, 4203, 527, 2933, 630, 11990, 476, 279, 281, 278, 264, 540, 621, 281, 543, 646, 2306, 519, 16075, 22466, 676, 741, 16563, 519, 4493, 585, 513, 4195, 2243, 269, 2048, 2252, 594, 993, 1863, 689, 5609, 630, 663, 9039, 540, 596, 666, 20903, 2725, 540, 621, 1070, 594, 993, 1863, 689, 7301, 3125, 269, 4475, 267, 952, 594, 2161, 5168, 1946, 798, 9493, 593, 707, 851, 711, 3494, 2725, 286, 20371, 5325, 269, 1703, 568, 513, 23249, 267, 543, 1287, 2441, 4267, 3571, 1378, 2243, 543, 3947, 513, 3803, 16355, 1993, 540, 741, 3409, 547, 581, 2696, 779, 1453, 630, 11990, 476, 279, 281, 6078, 1916, 30307, 479, 18841, 377, 351, 14832, 31057, 494, 24681, 26018, 269, 16564, 269, 634, 3020, 1126, 540, 2696, 267, 3541, 1516, 1010, 2898, 1373, 689, 13924, 281, 735, 269, 3627, 476, 279, 281, 2537, 267, 3627, 476, 274, 281, 4029, 267, 3627, 476, 1428, 281, 866, 267, 3627, 476, 1704, 281, 1691, 282, 3627, 476, 1704, 281, 1626, 267, 3627, 476, 1240, 281, 3607, 268, 4391, 563, 16483, 30307, 364, 18841, 379, 354, 394, 362, 19031, 10382, 16483, 10382, 26018, 269, 16564, 269, 6423, 593, 3627, 476, 274, 281, 4097, 269, 2441, 1934, 17648, 267, 1018, 1261, 11992, 2829, 267, 602, 1261, 14753, 519, 1913, 540, 2696, 630, 11990, 476, 279, 281, 2918, 267, 3627, 476, 278, 281, 1626, 267, 3627, 476, 1704, 281, 279, 1916, 29857, 15403, 30307, 364, 26018, 14267, 413, 379, 355, 16483, 14267, 269, 1280, 713, 2014, 281, 1294, 593, 3627, 476, 278, 281, 2641, 268, 2420, 269, 590, 269, 3627, 3096, 519, 1482, 1449, 282, 2048, 2171, 616, 540, 2696, 281, 646, 602, 917, 996, 2696, 646, 732, 628, 721, 282, 646, 602, 568, 711, 540, 2696, 646, 732, 628, 711, 721, 269, 3371, 2421, 917, 649, 519, 6891, 540, 5168, 543, 519, 6891, 540, 5470, 685, 630, 272, 3627, 476, 275, 281, 277, 1916, 4366, 269, 3852, 379, 413, 376, 365, 31057, 372, 14267, 21227, 29857, 10382, 413, 379, 500, 14267, 15403, 269, 3502, 1346, 945, 585, 519, 4090, 5156, 593, 13924, 630, 11990, 476, 279, 281, 4029, 1070, 855, 519, 20935, 5428, 607, 513, 2898, 269, 901, 24677, 540, 741, 3084, 840, 5766, 894, 540, 1373, 14930, 540, 2696, 4667, 547, 873, 17351, 535, 1066, 5414, 269, 1261, 1590, 581, 606, 10546, 540, 519, 932, 4923, 4658, 543, 581, 22234, 269, 3852, 374, 10382, 16575, 413, 379, 370, 19084, 815, 2048, 2431, 569, 282, 685, 735, 269, 3627, 476, 275, 281, 1704, 267, 3627, 476, 1724, 281, 1724, 267, 3627, 476, 1240, 281, 2537, 2433, 31057, 350, 19031, 15770, 413, 379, 500, 19084, 568, 900, 874, 1738, 282, 2048, 933, 693, 1022, 2557, 616, 1318, 10200, 1280, 519, 2990, 540, 31057, 350, 19031, 15770, 413, 379, 500, 19084, 735, 269, 476, 272, 3627, 476, 272, 281, 275, 563, 394, 352, 10382, 19031, 10382, 16708, 269, 31330, 413, 376, 370, 21566, 395, 491, 269, 3852, 352, 395, 491, 2063, 267, 609, 733, 3319, 6681, 8561, 269, 634, 8574, 10522, 602, 713, 729, 513, 1455, 1065, 25209, 267, 855, 621, 568, 7150, 24076, 3116, 269, 8616, 621, 729, 1034, 2067, 602, 835, 4171, 3450, 865, 1419, 17591, 539, 6014, 5389, 543, 6014, 608, 1816, 4369, 1058, 581, 1572, 513, 6341, 541, 11939, 269, 898, 568, 4061, 513, 11495, 5905, 540, 4641, 267, 543, 1776, 3236, 540, 519, 5345, 13370, 626, 779, 2347, 23440, 609, 519, 2093, 543, 7215, 1699, 538, 21157, 693, 713, 942, 269, 25334, 4601, 713, 2165, 540, 1065, 25209, 3568, 513, 14229, 518, 693, 3571, 3643, 547, 6341, 7559, 538, 669, 777, 269, 476, 275, 267, 543, 693, 3571, 2348, 6074, 519, 8966, 8905, 998, 6341, 7559, 267, 607, 1261, 4440, 1705, 630, 5408, 593, 3627, 476, 278, 281, 1015, 1070, 538, 4947, 909, 547, 519, 3171, 770, 540, 21741, 1716, 8163, 269, 634, 1612, 762, 540, 519, 6153, 6341, 541, 11939, 729, 4440, 711, 2943, 9275, 269, 634, 1079, 1065, 30294, 7654, 3277, 547, 1018, 1261, 1185, 1767, 1996, 873, 269, 1261, 1185, 1767, 602, 789, 941, 1100, 3020, 1453, 540, 14062, 282, 789, 2161, 602, 1261, 568, 513, 6341, 541, 11939, 269, 1261, 1185, 1767, 602, 789, 941, 711, 540, 2696, 281, 789, 2161, 602, 1261, 814, 513, 27313, 563, 29857, 10382, 15403, 19031, 32703, 14832, 15403, 14267, 14832, 269, 898, 568, 25031, 602, 649, 723, 711, 1079, 1913, 538, 938, 6426, 547, 10646, 18841, 377, 479, 24818, 15403, 31149, 15512, 14267, 16575, 14267, 19084, 267, 2048, 1492, 8061, 559, 685, 630, 11990, 476, 279, 281, 4510, 267, 3627, 476, 1724, 281, 273, 282, 15623, 476, 275, 281, 272, 282, 19279, 476, 279, 281, 1321, 267, 1299, 322, 13776, 689, 24818, 10382, 15403, 19031, 32703, 14832, 15403, 14267, 14832, 630, 11990, 476, 278, 281, 736, 267, 3627, 476, 1015, 281, 736, 267, 15623, 476, 278, 281, 2420, 267, 1299, 322, 4700, 543, 24818, 10382, 29111, 19031, 22886, 14832, 630, 31861, 476, 279, 281, 4029, 282, 4460, 476, 276, 281, 1321, 282, 19279, 476, 279, 281, 3066, 282, 31694, 476, 1240, 281, 273, 1070, 2048, 320, 26881, 16224, 610, 2048, 684, 30236, 6891, 10200, 2048, 22380, 754, 16224, 799, 654, 545, 331, 604, 3006, 18271, 630, 31861, 476, 1321, 281, 2190, 282, 15623, 476, 1321, 281, 2764, 282, 4460, 476, 272, 281, 4097, 282, 4460, 476, 272, 281, 4375, 267, 1299, 322, 13776, 1522, 723, 1044, 1031, 267, 1185, 14977, 526, 1446, 543, 595, 3757, 1067, 7550, 621, 281, 27313, 1131, 723, 1044, 1732, 1869, 269, 1809, 1934, 14977, 526, 1446, 267, 595, 3757, 1067, 267, 543, 519, 25611, 19405, 1118, 519, 10539, 2347, 676, 17021, 2048, 663, 26558, 519, 26881, 16224, 513, 12161, 799, 789, 1118, 849, 538, 3627, 476, 278, 281, 736, 543, 3627, 476, 1015, 281, 736, 269, 634, 5279, 1934, 568, 811, 15280, 982, 2901, 3627, 476, 278, 281, 736, 610, 3627, 476, 1015, 281, 736, 267, 1141, 621, 3274, 1797, 602, 3571, 2932, 568, 865, 9058, 602, 1261, 1590, 581, 632, 7757, 269, 1284, 723, 8320, 811, 2147, 547, 713, 538, 519, 14271, 9953, 1235, 282, 15623, 476, 280, 281, 4097, 282, 15623, 476, 1321, 281, 2190, 282, 4460, 476, 274, 281, 2420, 282, 19279, 476, 1556, 281, 1428, 563, 5392, 269, 31057, 494, 24556, 30307, 376, 24818, 269, 3852, 379, 30307, 494, 24681, 31057, 498, 395, 485, 22886, 269, 1261, 1281, 711, 5469, 519, 5279, 540, 1373, 513, 6341, 541, 11939, 269, 1280, 13924, 621, 8659, 4986, 18086, 267, 585, 1261, 6785, 602, 6341, 541, 30808, 1522, 3160, 610, 14133, 7642, 630, 11990, 476, 275, 281, 4375, 268, 5655, 282, 19279, 476, 1015, 281, 3451, 282, 19279, 476, 1321, 281, 1626, 264, 538, 5132, 267, 1649, 5271, 565, 775, 267, 543, 14696, 269, 1703, 568, 606, 8561, 593, 2048, 296, 16224, 855, 519, 2495, 540, 519, 8561, 568, 711, 2048, 296, 723, 711, 513, 27313, 267, 855, 9493, 723, 282, 685, 799, 1131, 2154, 3852, 379, 30307, 494, 24681, 31057, 494, 24556, 395, 492, 585, 31057, 494, 24556, 30307, 376, 3852, 379, 30307, 494, 24681, 269, 13298, 621, 1797, 2048, 296, 723, 711, 513, 27313, 267, 855, 22632, 3733, 12429, 282, 1247, 596, 593, 519, 14669, 31081, 712, 3733, 12429, 998, 2725, 19028, 2004, 269, 31057, 494, 24556, 30307, 376, 24818, 30307, 366, 3852, 379, 30307, 494, 3852, 370, 269, 1809, 621, 568, 711, 594, 945, 3343, 269, 2048, 2005, 568, 711, 1317, 594, 3343, 18710, 585, 3733, 1345, 602, 594, 3717, 540, 707, 31081, 28666, 2725, 281, 519, 12429, 11394, 602, 585, 2725, 543, 15749, 806, 10385, 593, 596, 10200, 3281, 269, 3627, 476, 279, 281, 7918, 543, 3627, 476, 276, 281, 6078, 269, 1703, 568, 1100, 27171, 1063, 713, 543, 3627, 476, 276, 281, 2420, 269, 769, 1312, 2665, 2696, 779, 1876, 13333, 540, 3294, 281, 519, 29063, 4845, 2933, 267, 2864, 982, 616, 30992, 676, 13924, 610, 676, 519, 12312, 563, 7906, 269, 31057, 494, 19031, 30307, 372, 14832, 18494, 32703, 24556, 14267, 14832, 26018, 24341, 16708, 394, 362, 17385, 24341, 269, 5901, 3733, 2262, 269, 634, 598, 10811, 542, 609, 3627, 476, 279, 281, 4029, 282, 3627, 476, 279, 281, 6246, 543, 3627, 476, 276, 281, 2190, 1590, 581, 12873, 676, 20808, 519, 1482, 8144, 585, 18494, 32703, 24556, 14267, 19084, 281, 2048, 15209, 3733, 2262, 685, 1934, 14687, 547, 2048, 629, 4575, 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 ]
[ 10272, 1282, 519, 11595, 7046, 17963, 15964, 950, 519, 5939, 729, 1373, 21243, 585, 519, 2622, 7556, 13037, 267, 8754, 519, 1028, 9285, 29057, 322, 992, 899, 5515, 1472, 519, 5939, 269, 634, 5939, 568, 2356, 6854, 19526, 4352, 513, 1883, 568, 2139, 689, 853, 8834, 693, 717, 578, 1206, 12729, 3427, 267, 513, 2110, 3802, 2476, 593, 24282, 749, 9335, 563, 2467, 568, 930, 593, 8265, 18736, 593, 4400, 9335, 269, 634, 2022, 3009, 568, 700, 301, 276, 476, 278, 303, 312, 543, 519, 7470, 4704, 568, 27699, 476, 9032, 274, 3583, 275, 563, 2467, 616, 811, 5961, 968, 1877, 1848, 281, 10674, 2517, 13195, 18436, 3820, 16896, 27160, 32642, 270, 577, 11699, 270, 1263, 1633, 270, 4802, 3712, 985, 10921, 270, 4802, 3712, 985, 10921, 318, 22764, 270, 4802, 11181, 14067, 335, 2678, 27651, 11258, 0, 21080, 269, 5994, 602, 563, 763, 13558, 11084, 2604, 6450, 2432, 1055, 540, 707, 3723, 1287, 998, 519, 2011, 30314, 2336, 320, 2011, 4904, 568, 2011, 4904, 543, 543, 3486, 568, 20202, 454, 3528, 23028, 2011, 883, 621, 563, 306, 665, 1356, 11084, 2760, 2731, 10581, 855, 789, 798, 3251, 538, 519, 2011, 585, 513, 2110, 1974, 540, 942, 269, 901, 568, 5631, 1813, 547, 519, 19316, 2011, 3330, 519, 513, 3440, 563, 328, 546, 660, 5679, 334, 888, 29995, 789, 723, 513, 2011, 31259, 13021, 543, 666, 16641, 519, 3532, 737, 6506, 540, 1527, 525, 1308, 13558, 5716, 563, 5445, 616, 1500, 899, 602, 865, 602, 789, 5066, 585, 519, 3014, 13558, 269, 634, 2011, 5536, 25483, 1055, 519, 6821, 267, 1818, 621, 2653, 547, 1832, 519, 2011, 3330, 519, 13558, 3440, 563, 306, 665, 1356, 11084, 269, 898, 1131, 4096, 875, 1164, 789, 3357, 1524, 689, 269, 1306, 13558, 11084, 616, 14736, 539, 1164, 883, 519, 2011, 267, 789, 4440, 25483, 2362, 982, 14912, 338, 799, 616, 1175, 16207, 563, 10303, 789, 616, 2407, 540, 2011, 267, 799, 21040, 950, 12699, 563, 323, 3996, 2011, 2604, 1860, 519, 3845, 513, 13558, 3440, 12599, 454, 8802, 1637, 13558, 11084, 2154, 1063, 476, 279, 269, 276, 543, 476, 1428, 269, 277, 623, 10485, 269, 4107, 11084, 786, 723, 513, 5227, 2604, 9102, 2282, 519, 11896, 269, 0, 8368, 540, 12937, 454, 1432, 2962, 666, 6837, 798, 593, 1654, 1729, 539, 3915, 676, 519, 5518, 888, 3722, 3582, 10396, 966, 4953, 302, 3633, 645, 21135, 1403, 519, 6837, 16976, 547, 936, 20183, 519, 1654, 1729, 267, 519, 5600, 543, 519, 14130, 4927, 8399, 14384, 547, 556, 29264, 519, 3915, 610, 519, 1654, 1729, 539, 3688, 540, 519, 3915, 269, 1403, 519, 3915, 610, 922, 1654, 1729, 539, 3688, 568, 5293, 676, 513, 8917, 540, 1079, 22188, 540, 519, 16840, 540, 1142, 5600, 267, 971, 3915, 610, 3688, 4927, 1831, 513, 1876, 563, 1692, 666, 1533, 23328, 936, 20183, 513, 1654, 1729, 888, 309, 16587, 936, 20183, 3652, 538, 1533, 9777, 2137, 2353, 476, 2004, 2829, 2285, 741, 9777, 2137, 519, 2702, 547, 936, 20183, 1368, 828, 333, 31247, 1654, 1729, 525, 269, 476, 3607, 2829, 2154, 513, 1079, 22188, 8917, 689, 1312, 20830, 540, 519, 23328, 269, 18599, 2829, 2154, 513, 1614, 1922, 604, 2195, 8917, 689, 1312, 20830, 540, 519, 23328, 563, 7617, 7936, 666, 1654, 1729, 936, 20183, 888, 1492, 15424, 7936, 454, 763, 5518, 538, 519, 10324, 7936, 666, 1654, 1729, 513, 1876, 267, 855, 519, 15424, 7936, 666, 936, 20183, 602, 1654, 1729, 609, 2614, 16018, 563, 1432, 5354, 568, 2877, 538, 519, 23328, 547, 936, 20183, 519, 17294, 779, 1654, 1729, 888, 2252, 519, 17135, 1654, 1729, 525, 519, 3915, 267, 513, 1079, 22188, 8917, 538, 1142, 2777, 568, 2877, 547, 936, 20183, 519, 1654, 1729, 563, 1432, 568, 1654, 1729, 936, 20183, 888, 763, 1379, 540, 519, 5518, 547, 20549, 547, 29343, 513, 3915, 610, 4745, 6571, 543, 3976, 2061, 922, 15357, 618, 883, 1876, 568, 519, 1654, 1729, 269, 901, 1654, 1729, 666, 581, 936, 337, 5200, 1152, 676, 513, 1079, 22188, 8917, 538, 1312, 519, 14130, 543, 519, 5600, 269, 1403, 713, 4386, 267, 519, 3915, 3587, 1876, 936, 519, 5518, 779, 1843, 687, 563, 8005, 666, 17551, 519, 5518, 779, 3527, 796, 6247, 6627, 888, 1492, 16324, 7936, 454, 763, 10324, 7936, 666, 17551, 15445, 2107, 10249, 267, 799, 616, 899, 605, 743, 600, 725, 602, 4163, 519, 3196, 540, 1876, 267, 855, 519, 16324, 7936, 666, 17551, 1346, 6411, 796, 6247, 6627, 563, 1692, 1281, 519, 5600, 936, 20183, 513, 7022, 779, 1654, 1729, 888, 309, 16587, 3683, 20183, 26488, 538, 519, 5600, 543, 14130, 6837, 1308, 3194, 6796, 476, 274, 269, 616, 2366, 547, 519, 14130, 585, 2962, 269, 1403, 519, 5600, 6707, 936, 337, 1938, 513, 1654, 1729, 540, 513, 3915, 602, 12090, 538, 519, 14130, 630, 306, 269, 610, 590, 12282, 269, 1763, 13776, 1287, 519, 3915, 3587, 1876, 1317, 1079, 22188, 540, 1312, 20830, 723, 8815, 547, 936, 20183, 519, 1654, 1729, 269, 276, 14130, 26488, 563, 4692, 513, 2875, 946, 513, 1654, 1729, 5048, 543, 1654, 1729, 539, 3915, 888, 10743, 666, 946, 513, 1654, 1729, 5048, 543, 1654, 1729, 539, 3915, 547, 1118, 513, 1463, 4276, 1063, 519, 9139, 267, 519, 15424, 543, 1654, 1729, 1184, 267, 543, 519, 9668, 540, 7060, 1063, 519, 15424, 543, 10324, 8371, 540, 2229, 563, 8489, 1281, 519, 2262, 1654, 1729, 2408, 538, 519, 9139, 888, 309, 16587, 1184, 267, 15424, 1184, 267, 15424, 7936, 267, 9668, 540, 7060, 267, 543, 11974, 543, 21356, 2755, 519, 2262, 968, 557, 1729, 892, 1281, 711, 2408, 538, 519, 9139, 519, 1379, 540, 519, 5518, 547, 20549, 547, 1129, 9086, 568, 5693, 13890, 538, 519, 9139, 912, 1432, 4523, 952, 1079, 555, 8674, 540, 519, 5600, 1237, 1407, 513, 3915, 888, 2252, 1310, 971, 1234, 4621, 573, 3130, 1079, 555, 8674, 540, 602, 5600, 4927, 3858, 547, 1780, 519, 9291, 267, 621, 4927, 581, 2366, 267, 1927, 609, 519, 8629, 687, 267, 547, 519, 824, 5600, 267, 676, 799, 621, 4927, 11338, 581, 556, 4621, 30872, 267, 543, 952, 9516, 676, 1079, 555, 8674, 540, 602, 5600, 267, 621, 4927, 1831, 513, 4521, 269, 0, 1432, 568, 621, 888, 1607, 476, 273, 267, 1911, 4458, 6040, 4062, 540, 19730, 6656, 2759, 883, 519, 3337, 540, 513, 1272, 20695, 1318, 1688, 814, 1044, 29805, 519, 2048, 21652, 540, 594, 745, 5586, 328, 8730, 1310, 519, 3135, 538, 8050, 1141, 621, 729, 1336, 269, 634, 1688, 568, 476, 16960, 7825, 7381, 267, 476, 12553, 7825, 2647, 267, 543, 476, 272, 269, 6021, 7825, 5394, 267, 543, 22179, 827, 476, 3607, 326, 269, 589, 31432, 566, 538, 519, 8998, 540, 519, 1439, 2282, 519, 21015, 6920, 602, 713, 1843, 729, 2899, 562, 9229, 547, 513, 2571, 1489, 971, 607, 513, 7450, 7406, 269, 2201, 519, 1394, 540, 519, 1688, 568, 606, 30115, 538, 513, 5493, 2801, 334, 6953, 529, 13732, 7097, 602, 5526, 547, 581, 513, 31317, 540, 519, 2413, 5178, 4302, 1893, 602, 568, 1869, 9275, 538, 519, 3148, 2221, 269, 634, 30115, 3112, 581, 4628, 12261, 267, 855, 621, 568, 2219, 547, 581, 4448, 547, 519, 1843, 779, 1599, 607, 513, 8825, 993, 340, 2280, 563, 8489, 729, 621, 1336, 267, 543, 950, 888, 763, 6602, 729, 1500, 538, 4873, 476, 1708, 272, 676, 513, 2319, 689, 519, 1488, 11961, 14508, 3163, 5980, 1282, 14155, 725, 540, 606, 3504, 11175, 693, 519, 3490, 540, 6778, 594, 745, 5586, 328, 267, 2282, 31656, 680, 7431, 267, 8050, 269, 634, 2048, 21652, 540, 594, 745, 5586, 328, 685, 7389, 547, 519, 2063, 5123, 540, 519, 3135, 779, 13567, 267, 538, 519, 2038, 476, 272, 560, 2540, 7460, 267, 950, 519, 17623, 11635, 6520, 11175, 729, 14616, 1524, 543, 14460, 1282, 519, 4936, 1700, 306, 1068, 20187, 10617, 269, 634, 19730, 818, 974, 2399, 729, 1336, 593, 519, 12939, 540, 513, 16095, 1532, 4459, 2777, 10032, 1282, 519, 4655, 267, 538, 513, 2990, 5812, 609, 621, 2348, 1044, 5116, 936, 519, 7450, 585, 4027, 543, 1434, 9939, 269, 634, 30115, 729, 4857, 676, 513, 11122, 1807, 538, 5130, 476, 1708, 273, 543, 814, 2094, 22734, 2417, 1353, 563, 3963, 1281, 621, 2339, 888, 1607, 11108, 1843, 2488, 606, 1271, 5813, 883, 519, 7924, 540, 519, 23849, 935, 525, 267, 519, 840, 7304, 2674, 11317, 540, 713, 3148, 269, 898, 729, 5892, 2219, 602, 741, 2854, 1893, 729, 11658, 547, 1175, 513, 1906, 1913, 267, 543, 602, 513, 1697, 1603, 1062, 729, 711, 1459, 538, 519, 1858, 2394, 519, 12625, 540, 519, 5824, 9904, 609, 519, 14564, 267, 855, 519, 2048, 21652, 540, 594, 745, 5586, 328, 685, 18327, 602, 713, 729, 711, 519, 2013, 269, 634, 30115, 6645, 721, 811, 827, 519, 1686, 540, 519, 5178, 4302, 1893, 267, 1932, 267, 11744, 602, 621, 729, 538, 946, 1934, 538, 930, 1106, 689, 693, 2547, 519, 1376, 540, 519, 476, 272, 560, 2540, 7460, 563, 763, 30115, 5161, 540, 476, 2412, 3197, 267, 2219, 547, 1118, 909, 2947, 1913, 267, 519, 1101, 540, 799, 814, 1044, 6037, 3438, 730, 607, 22408, 542, 2131, 340, 269, 901, 568, 5393, 2147, 547, 513, 2262, 538, 2413, 5178, 4302, 281, 1990, 528, 542, 2131, 334, 267, 799, 1797, 2048, 16591, 19539, 8730, 2417, 15738, 547, 606, 3284, 582, 1886, 24191, 1599, 585, 519, 1843, 269, 634, 824, 2185, 1913, 723, 1044, 6037, 3438, 730, 607, 1134, 267, 855, 741, 10096, 2611, 7164, 563, 763, 4480, 1031, 547, 1711, 519, 5022, 568, 849, 4277, 281, 519, 30115, 814, 1044, 1500, 1210, 2048, 560, 2089, 1782, 685, 1107, 602, 568, 267, 6825, 856, 1210, 1507, 15956, 1107, 855, 6251, 2079, 814, 7000, 602, 1142, 4484, 729, 1101, 29565, 3481, 856, 593, 519, 19730, 18284, 269, 901, 1184, 568, 8966, 267, 711, 1152, 538, 519, 1266, 9545, 902, 540, 713, 3148, 267, 855, 538, 3504, 3134, 19973, 2066, 519, 5375, 1158, 563, 306, 7417, 11123, 9358, 11965, 23852, 454, 763, 7435, 540, 594, 745, 5586, 328, 568, 4867, 18460, 1382, 1107, 3226, 883, 922, 3134, 15572, 545, 543, 10409, 3344, 1107, 693, 519, 1488, 11961, 14508, 3163, 5980, 563, 307, 28692, 281, 25138, 5696, 12584, 26973, 0, 292, 345, 2131, 1408, 476, 2537, 6238, 609, 519, 22445, 6031, 267, 968, 763, 2262, 540, 519, 28789, 3357, 547, 803, 267, 2048, 306, 517, 540, 812, 267, 972, 941, 1079, 2021, 267, 519, 20766, 540, 835, 3993, 269, 1358, 5129, 519, 627, 648, 538, 5527, 2560, 685, 6100, 589, 8642, 1612, 762, 4652, 9529, 540, 519, 4182, 1310, 621, 17388, 547, 796, 16753, 519, 1232, 611, 775, 540, 1272, 538, 5527, 269, 634, 1079, 2021, 267, 744, 3128, 1695, 543, 744, 3128, 756, 1695, 267, 2099, 519, 1079, 6082, 799, 519, 25232, 5258, 883, 1310, 519, 12081, 338, 540, 6424, 543, 21125, 543, 13527, 729, 3710, 563, 1607, 1612, 762, 267, 32198, 676, 519, 1376, 540, 519, 1985, 3184, 267, 729, 2016, 547, 26442, 2131, 1408, 1447, 982, 1079, 1296, 1354, 13243, 8593, 543, 519, 13527, 729, 10032, 543, 5176, 782, 519, 14230, 540, 519, 1004, 941, 3144, 883, 24811, 269, 1548, 1131, 519, 1004, 1118, 540, 621, 286, 26442, 2131, 1408, 5206, 1010, 5048, 543, 27229, 621, 729, 6933, 730, 269, 898, 568, 513, 31555, 24575, 540, 519, 4652, 28216, 6888, 547, 519, 3020, 2696, 602, 1185, 2097, 547, 2291, 1107, 543, 729, 10150, 2336, 763, 2495, 540, 519, 1612, 762, 568, 10750, 569, 7150, 282, 968, 28387, 3081, 519, 7083, 717, 7495, 281, 5221, 596, 723, 16618, 803, 543, 5641, 803, 3297, 707, 1394, 267, 596, 3054, 1590, 7703, 519, 4539, 540, 707, 682, 23424, 1145, 543, 627, 1681, 2560, 892, 630, 2091, 476, 3374, 1040, 26442, 2131, 1408, 568, 5143, 547, 968, 1372, 743, 732, 547, 873, 741, 705, 558, 5209, 892, 630, 2091, 476, 3607, 1040, 1284, 4898, 875, 519, 1004, 2746, 539, 563, 2171, 1294, 513, 2673, 6476, 609, 8456, 2221, 267, 543, 875, 2696, 779, 2262, 568, 16053, 269, 2368, 540, 2696, 779, 1913, 538, 713, 3184, 616, 813, 5242, 585, 2221, 267, 968, 1492, 3280, 540, 513, 1416, 16451, 21318, 892, 630, 2091, 476, 5655, 1040, 1358, 616, 5143, 2696, 779, 3527, 786, 267, 968, 2507, 1118, 873, 606, 1843, 540, 9810, 543, 513, 726, 8974, 2560, 4935, 786, 594, 2322, 606, 1439, 547, 682, 23424, 1145, 2560, 543, 596, 4927, 7703, 519, 15163, 585, 707, 5609, 995, 31561, 520, 787, 267, 543, 596, 4927, 917, 602, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3914, 909, 547, 476, 2767, 6279, 538, 3259, 543, 814, 513, 12209, 3966, 540, 909, 547, 476, 6795, 6279, 269, 4706, 12209, 616, 3376, 543, 3532, 267, 799, 2337, 519, 6177, 865, 541, 998, 519, 6607, 609, 1390, 11419, 543, 22231, 269, 898, 814, 513, 1804, 554, 10541, 3915, 609, 513, 11909, 880, 11399, 1052, 2681, 267, 543, 922, 3952, 616, 6505, 5835, 563, 763, 16176, 344, 26449, 2729, 538, 519, 512, 1495, 571, 4525, 540, 519, 7187, 21571, 267, 1141, 621, 20097, 593, 1283, 540, 7725, 267, 1970, 268, 2391, 4054, 267, 543, 1256, 519, 2666, 269, 4438, 519, 1554, 267, 596, 666, 5544, 873, 829, 3481, 29691, 4054, 267, 18635, 267, 543, 824, 11506, 9634, 267, 5619, 532, 519, 2244, 585, 10352, 269, 4706, 2732, 5161, 5097, 540, 1507, 11864, 267, 899, 682, 7825, 902, 267, 2019, 525, 267, 543, 688, 637, 267, 855, 621, 849, 20555, 593, 5017, 267, 3165, 267, 543, 824, 1507, 2831, 563, 1103, 22880, 4334, 547, 519, 16176, 344, 26449, 267, 519, 4414, 1532, 2683, 20837, 1068, 841, 568, 513, 1507, 267, 10477, 23832, 12704, 5065, 547, 25706, 269, 901, 7524, 6177, 695, 9404, 619, 609, 3352, 1938, 1417, 21462, 543, 16719, 267, 922, 23643, 539, 2766, 4758, 621, 606, 3063, 8141, 548, 607, 621, 1166, 1080, 689, 8768, 547, 8768, 563, 763, 20837, 1068, 841, 779, 12209, 10726, 693, 606, 27314, 2557, 540, 909, 547, 476, 3199, 2053, 829, 2034, 267, 543, 922, 3915, 568, 607, 1279, 607, 922, 1560, 269, 901, 2189, 3915, 3337, 2636, 519, 6177, 547, 3049, 689, 519, 1279, 543, 7522, 8685, 983, 5810, 540, 922, 2199, 2371, 269, 4706, 2732, 2882, 20151, 543, 824, 7786, 267, 607, 1134, 607, 22060, 267, 14947, 267, 543, 519, 17573, 1507, 4829, 563, 763, 4414, 1532, 2683, 20837, 1068, 841, 568, 513, 1514, 23832, 12704, 267, 1419, 2938, 538, 8424, 610, 1166, 4169, 540, 909, 547, 13977, 2043, 269, 1358, 616, 3810, 16857, 267, 2705, 267, 543, 786, 26490, 1947, 29677, 2476, 1022, 824, 5017, 602, 2097, 1932, 2673, 547, 741, 8023, 12406, 269, 901, 7524, 2249, 568, 513, 10508, 547, 4585, 607, 621, 7575, 998, 519, 20299, 4618, 5251, 563, 16352, 5941, 519, 30811, 4414, 1532, 2683, 20837, 1068, 841, 267, 1577, 779, 1847, 593, 547, 519, 8449, 9159, 700, 559, 659, 22249, 16556, 17029, 2401, 269, 898, 568, 1419, 2938, 829, 3481, 29691, 606, 6534, 7936, 267, 1085, 28666, 519, 2244, 585, 1426, 269, 4706, 7524, 20034, 720, 568, 513, 4190, 8289, 547, 1531, 1245, 543, 666, 3362, 2721, 519, 4064, 540, 513, 15624, 540, 593, 19972, 619, 563, 763, 700, 559, 659, 22249, 16556, 17029, 2401, 568, 24224, 538, 513, 4999, 540, 21462, 267, 1625, 1255, 267, 543, 16719, 269, 898, 814, 513, 1179, 330, 1194, 9221, 267, 513, 2620, 4544, 1394, 267, 543, 513, 13862, 540, 17207, 602, 568, 1625, 680, 880, 25984, 269, 13966, 922, 2766, 616, 15649, 540, 6505, 4544, 267, 543, 922, 12209, 616, 6140, 4158, 4544, 609, 513, 1906, 1769, 17207, 6404, 538, 269, 4706, 581, 752, 568, 513, 5835, 880, 11399, 1052, 543, 922, 4064, 616, 513, 2620, 3109, 563, 21132, 15472, 8184, 568, 513, 8289, 547, 1531, 1245, 269, 898, 786, 1491, 1055, 689, 922, 829, 577, 609, 513, 1906, 1166, 2355, 540, 922, 12209, 267, 1287, 1350, 728, 538, 513, 2647, 5858, 267, 12212, 2220, 334, 14563, 909, 543, 1524, 1354, 4947, 1394, 547, 922, 829, 577, 269, 4706, 11419, 543, 22231, 616, 5963, 513, 14952, 540, 2470, 563, 763, 700, 559, 659, 22249, 16556, 17029, 2401, 568, 606, 6207, 4898, 540, 519, 26624, 1158, 269, 4706, 5898, 543, 922, 2702, 547, 7001, 519, 12271, 540, 6177, 342, 520, 7129, 1118, 621, 513, 2249, 4502, 8497, 563, 763, 7524, 4778, 540, 519, 700, 559, 659, 22249, 16556, 17029, 2401, 616, 15180, 539, 1152, 676, 519, 13085, 18723, 268, 1042, 30160, 540, 519, 1656, 6756, 595, 1442, 6361, 7308, 7304, 1442, 269, 901, 2249, 568, 2808, 519, 3084, 6177, 540, 18475, 543, 666, 581, 1336, 538, 519, 5580, 6173, 725, 540, 519, 1656, 525, 15142, 269, 634, 5256, 814, 513, 2189, 30160, 540, 10538, 268, 1042, 17207, 267, 1247, 519, 4775, 568, 3622, 513, 20585, 6960, 2681, 267, 1818, 873, 2653, 547, 10646, 563, 763, 9038, 540, 713, 2249, 616, 3833, 16857, 543, 666, 581, 2938, 1166, 17481, 741, 11141, 30160, 543, 6505, 25243, 12209, 547, 4482, 29982, 269, 4438, 20282, 4005, 267, 519, 9038, 7249, 26021, 538, 18497, 10470, 1222, 5749, 553, 267, 1634, 607, 682, 802, 267, 547, 1685, 14969, 10525, 540, 741, 20034, 720, 538, 606, 3801, 547, 23666, 1761, 29982, 269, 1452, 10525, 2356, 2874, 540, 10978, 13047, 3074, 267, 5577, 4771, 267, 543, 13617, 1166, 6260, 563, 763, 1656, 6756, 595, 1442, 6361, 7308, 7304, 1442, 568, 513, 2189, 2249, 602, 568, 1312, 4190, 543, 4241, 269, 4706, 12667, 32442, 543, 14969, 20282, 12738, 1118, 621, 513, 9159, 2249, 547, 7747, 538, 922, 2067, 7226, 563, 16676, 5224, 938, 3460, 1472, 519, 26624, 10806, 267, 649, 2097, 547, 519, 759, 680, 754, 550, 844, 28856, 531, 267, 513, 18198, 569, 4190, 6177, 602, 814, 1044, 1572, 519, 2048, 297, 1168, 601, 540, 519, 13192, 11206, 9957, 634, 759, 680, 754, 550, 844, 28856, 531, 568, 1336, 538, 519, 7823, 7733, 540, 6239, 3013, 543, 568, 519, 3084, 6177, 540, 30188, 267, 1141, 621, 568, 513, 3090, 540, 15698, 563, 1607, 7524, 6177, 5026, 513, 2620, 3039, 1560, 267, 609, 513, 2699, 536, 756, 543, 513, 11344, 3039, 30160, 593, 922, 2212, 269, 4706, 2766, 17207, 267, 799, 666, 3914, 909, 547, 476, 1789, 4699, 538, 3259, 267, 616, 513, 546, 9579, 1782, 5044, 540, 11909, 267, 4544, 267, 3039, 267, 543, 4154, 269, 634, 6177, 779, 12209, 616, 849, 513, 13085, 3039, 543, 4334, 18991, 1996, 922, 6505, 2699, 7953, 563, 763, 759, 680, 754, 550, 844, 28856, 531, 568, 513, 21183, 543, 556, 5477, 6177, 267, 3335, 1336, 538, 519, 666, 641, 625, 540, 519, 4104, 269, 4706, 2732, 5161, 5631, 540, 4829, 543, 7786, 267, 799, 621, 585, 1137, 585, 538, 3529, 8371, 269, 898, 568, 849, 513, 5266, 1279, 24331, 6177, 267, 609, 930, 2249, 2713, 909, 547, 476, 736, 1296, 538, 519, 3552, 269, 4706, 3638, 267, 7524, 20034, 720, 543, 9159, 5898, 723, 1500, 621, 513, 5172, 540, 6177, 342, 520, 7129, 543, 2470, 12439, 7567, 563, 28074, 899, 519, 7415, 1763, 680, 754, 550, 2372, 28856, 531, 267, 519, 8111, 321, 16819, 6361, 6261, 541, 611, 1047, 568, 513, 14952, 540, 2470, 269, 901, 6177, 568, 1336, 538, 519, 1970, 1633, 543, 7823, 31140, 540, 1715, 19892, 543, 7404, 10195, 543, 568, 1634, 585, 922, 7524, 17207, 602, 3352, 1938, 576, 538, 6505, 21462, 267, 16719, 267, 543, 1625, 1255, 269, 634, 8111, 321, 16819, 6361, 6261, 541, 611, 1047, 568, 849, 1634, 585, 922, 14969, 10470, 1222, 9161, 269, 634, 5256, 540, 519, 2249, 786, 1685, 606, 6946, 7544, 267, 10825, 922, 12209, 267, 18071, 922, 7524, 17207, 267, 543, 5577, 4771, 1472, 538, 10580, 563, 763, 8111, 321, 16819, 6361, 6261, 541, 611, 1047, 568, 5176, 14311, 1336, 538, 519, 22986, 267, 2713, 538, 519, 24588, 543, 896, 32143, 6106, 540, 519, 4104, 269, 4256, 2732, 5161, 6140, 540, 7786, 543, 5613, 267, 799, 789, 1265, 538, 519, 5580, 24588, 6106, 540, 519, 22986, 269, 1358, 616, 1271, 6079, 12165, 619, 267, 607, 789, 786, 8532, 519, 5613, 540, 2371, 543, 771, 704, 572, 519, 5452, 998, 741, 5323, 25940, 1247, 789, 8038, 547, 1114, 2127, 563, 763, 8111, 321, 16819, 6361, 6261, 541, 611, 1047, 568, 606, 6909, 2249, 267, 543, 621, 568, 1271, 547, 2149, 519, 22986, 7226, 602, 621, 7125, 1753, 269, 1635, 7863, 519, 22986, 267, 649, 616, 4180, 602, 713, 2249, 786, 3136, 547, 8853, 543, 993, 10270, 721, 609, 922, 5898, 563, 1103, 4334, 547, 519, 8111, 321, 16819, 6361, 6261, 541, 611, 1047, 267, 519, 13642, 1922, 1258, 1540, 23516, 12704, 568, 513, 1507, 1780, 518, 710, 6177, 540, 519, 1920, 25914, 641, 572, 13160, 269, 898, 568, 1336, 2066, 513, 5318, 2039, 540, 2477, 267, 1519, 3127, 267, 14913, 5607, 267, 543, 2694, 540, 3624, 269, 898, 568, 3335, 1336, 538, 1930, 28301, 7733, 267, 607, 1134, 607, 538, 4683, 543, 28180, 11614, 543, 10651, 563, 763, 13642, 1922, 1258, 1540, 23516, 12704, 568, 513, 10875, 569, 4190, 6177, 267, 609, 513, 6505, 11344, 30432, 267, 3109, 13862, 543, 562, 1901, 267, 543, 5835, 25984, 896, 30672, 269, 4706, 1394, 543, 12209, 616, 14462, 25984, 267, 543, 922, 2766, 568, 512, 5792, 609, 513, 6505, 4544, 25984, 269, 634, 5256, 814, 513, 3476, 2766, 982, 519, 4775, 543, 513, 6505, 5835, 3915, 267, 1247, 519, 4775, 814, 513, 12779, 267, 12457, 29744, 3915, 563, 763, 13642, 1922, 1258, 1540, 23516, 12704, 568, 513, 13047, 2249, 543, 568, 1419, 4862, 13465, 922, 5283, 617, 1190, 5152, 689, 519, 1726, 564, 3591, 269, 4706, 5152, 5161, 540, 513, 3099, 540, 627, 30178, 267, 678, 25114, 267, 543, 2112, 7632, 267, 543, 568, 1419, 10483, 676, 513, 4028, 2766, 2914, 698, 3101, 4159, 269, 634, 9960, 4005, 585, 713, 2249, 5956, 538, 4728, 543, 7475, 538, 4864, 267, 1282, 799, 942, 9038, 786, 1419, 2206, 689, 519, 5207, 829, 2583, 538, 3406, 540, 513, 19898, 269, 634, 4775, 786, 4020, 513, 7484, 11057, 9566, 856, 540, 6371, 543, 3762, 267, 799, 1352, 786, 1899, 609, 1524, 344, 17207, 269, 634, 6093, 804, 8553, 2450, 568, 1079, 547, 1614, 5798, 267, 799, 616, 17861, 730, 676, 519, 4775, 585, 5111, 1079, 4374, 563, 309, 550, 1005, 2476, 689, 519, 30811, 5152, 540, 519, 13642, 1922, 1258, 1540, 23516, 12704, 267, 1577, 779, 3460, 547, 519, 7733, 540, 3162, 543, 14913, 5607, 543, 7747, 519, 22539, 4414, 6253, 549, 730, 27392, 3887, 831, 563, 763, 4414, 6253, 549, 730, 27392, 3887, 831, 568, 513, 1507, 267, 28795, 6177, 267, 609, 513, 6505, 2699, 11563, 267, 30432, 267, 543, 561, 2803, 269, 4706, 1394, 543, 12209, 616, 3039, 267, 543, 922, 2766, 568, 1279, 543, 11329, 269, 901, 2249, 568, 3362, 30753, 676, 519, 3043, 4174, 701, 602, 8255, 2066, 922, 4064, 269, 634, 4414, 6253, 549, 730, 27392, 3887, 831, 568, 3335, 2938, 538, 8424, 267, 10760, 1472, 610, 829, 3481, 2282, 1216, 563, 4322, 5017, 3049, 593, 10987, 267, 729, 1186, 267, 543, 824, 7786, 799, 789, 6952, 538, 8184, 269, 1358, 723, 606, 11141, 10122, 4480, 267, 1141, 789, 8038, 538, 606, 9095, 267, 7930, 8375, 2362, 543, 2362, 267, 2394, 789, 3914, 606, 19993, 4463, 267, 689, 799, 789, 2220, 17274, 1524, 547, 2879, 2255, 741, 10352, 689, 4571, 25101, 269, 4414, 6253, 549, 730, 27392, 3887, 11596, 4043, 547, 7249, 26021, 538, 1804, 1166, 4169, 1282, 519, 9960, 4005, 543, 1711, 20498, 9960, 10125, 269, 4438, 519, 9960, 4005, 267, 9038, 12446, 693, 519, 21224, 4609, 1101, 543, 1628, 513, 1297, 540, 25310, 585, 873, 547, 9742, 538, 269, 634, 8951, 1287, 12446, 267, 543, 2824, 741, 25310, 543, 7649, 563, 763, 4414, 6253, 549, 730, 27392, 3887, 831, 568, 606, 11141, 543, 4190, 13442, 269, 2060, 922, 3750, 2275, 10248, 20034, 720, 543, 5863, 10122, 5759, 267, 621, 568, 1100, 4898, 602, 713, 2249, 568, 865, 11537, 676, 6177, 342, 520, 7129, 543, 2470, 12439, 563, 763, 7524, 4778, 540, 519, 4414, 6253, 549, 730, 27392, 3887, 831, 2285, 1259, 547, 519, 11495, 21462, 543, 16719, 540, 519, 5682, 20289, 269, 901, 9159, 6177, 568, 5065, 547, 519, 9341, 7733, 540, 6792, 267, 6239, 3013, 267, 543, 2694, 540, 519, 2136, 2276, 269, 589, 8755, 540, 4544, 543, 3039, 20034, 720, 538, 519, 4054, 568, 519, 2995, 339, 1446, 1129, 540, 519, 5682, 20289, 563, 288, 8049, 13442, 267, 519, 5682, 20289, 568, 1634, 585, 922, 10978, 267, 10792, 1289, 540, 968, 577, 584, 337, 7302, 584, 337, 7302, 584, 337, 892, 543, 922, 12050, 1145, 538, 16042, 3425, 269, 898, 568, 519, 1152, 6177, 538, 922, 12593, 267, 1818, 621, 513, 2189, 543, 10578, 2249, 269, 634, 6177, 779, 11495, 20034, 720, 568, 12006, 676, 922, 3043, 32071, 992, 267, 2620, 4544, 2766, 17207, 267, 543, 1769, 3039, 9221, 543, 678, 2794, 269, 634, 5682, 20289, 779, 1560, 568, 827, 476, 1556, 6279, 538, 3259, 543, 922, 12209, 3966, 568, 827, 476, 1428, 6279, 563, 763, 5682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 31262, 912, 825, 23645, 16341, 540, 1644, 6898, 616, 19882, 547, 1685, 930, 4305, 568, 1634, 607, 1599, 454, 825, 23645, 1910, 660, 1314, 912, 2018, 1219, 2999, 10818, 2012, 285, 912, 3546, 3948, 318, 272, 454, 3546, 3948, 318, 273, 454, 3546, 3948, 318, 274, 454, 3546, 4586, 3546, 18679, 2018, 1599, 1289, 4590, 17843, 2010, 540, 3252, 912, 1038, 476, 272, 11065, 16742, 514, 3252, 454, 1038, 476, 273, 269, 12528, 3989, 3252, 454, 1038, 476, 274, 269, 534, 11345, 1599, 454, 272, 11065, 16742, 514, 3252, 912, 825, 23645, 4322, 3252, 616, 9949, 569, 2501, 609, 9226, 5399, 563, 825, 23645, 7078, 912, 2018, 2878, 1820, 19572, 6352, 19572, 15276, 19572, 6943, 19572, 573, 19572, 10946, 3890, 2807, 31756, 454, 273, 269, 27165, 3989, 3252, 912, 825, 23645, 604, 972, 568, 1022, 991, 547, 1685, 513, 4305, 649, 666, 2328, 938, 1378, 3252, 602, 3252, 7125, 539, 607, 3593, 3989, 3252, 563, 825, 2878, 8873, 912, 2018, 952, 596, 1616, 547, 960, 593, 1267, 540, 707, 1599, 1267, 610, 952, 596, 1616, 547, 798, 1022, 4238, 593, 621, 2676, 25639, 596, 723, 547, 946, 2132, 563, 825, 2878, 31262, 7440, 912, 1038, 476, 272, 269, 29239, 7440, 454, 1038, 476, 273, 269, 6570, 531, 7440, 454, 1038, 476, 274, 30818, 16911, 610, 4756, 7440, 454, 1038, 476, 275, 269, 1262, 29220, 16911, 610, 20438, 7440, 454, 274, 269, 534, 11345, 1599, 912, 825, 23645, 10818, 1510, 2012, 568, 1572, 20822, 3252, 454, 825, 23645, 1910, 660, 1314, 912, 2018, 25754, 7440, 2433, 4082, 454, 18851, 0, 3698, 3160, 2213, 25225, 2187, 825, 15358, 815, 1592, 263, 3553, 25225, 4297, 1948, 4765, 1575, 454, 825, 15358, 31699, 10797, 825, 3193, 815, 15358, 15631, 272, 6540, 825, 1948, 930, 14229, 21294, 17426, 5688, 31907, 899, 4142, 1575, 532, 454, 825, 952, 3193, 11203, 476, 271, 912, 1038, 2119, 912, 2018, 15358, 31927, 263, 271, 994, 2018, 2132, 910, 272, 454, 1038, 4849, 1401, 4003, 912, 2018, 1780, 454, 825, 8640, 7003, 25225, 264, 11203, 476, 272, 912, 1038, 2132, 910, 272, 1948, 4765, 1575, 532, 1797, 602, 952, 519, 5207, 1297, 568, 476, 271, 543, 972, 616, 811, 2338, 538, 519, 1592, 267, 789, 786, 2760, 9062, 547, 476, 271, 607, 476, 273, 18898, 666, 2760, 581, 476, 271, 454, 825, 3116, 912, 1038, 2132, 476, 271, 692, 825, 585, 1003, 538, 15358, 11468, 268, 272, 14158, 1038, 952, 1003, 2999, 3193, 912, 2018, 1948, 568, 621, 2009, 547, 9062, 938, 1259, 547, 713, 1297, 609, 476, 273, 338, 1152, 888, 2018, 1121, 815, 3193, 2260, 11133, 454, 2018, 952, 1121, 260, 273, 11203, 476, 271, 912, 3546, 2132, 910, 272, 692, 825, 2132, 3193, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1775, 815, 3403, 4590, 825, 15358, 815, 1496, 842, 9217, 264, 585, 1775, 538, 1775, 14714, 8692, 14061, 20889, 3488, 1412, 22708, 825, 1820, 263, 16029, 2213, 25225, 4917, 0, 258, 1607, 1599, 568, 547, 2638, 2298, 540, 630, 344, 14672, 264, 11378, 1477, 258, 2005, 786, 8520, 2394, 621, 814, 4570, 3403, 1477, 3698, 1205, 312, 301, 18425, 28399, 825, 2638, 312, 301, 8782, 17380, 262, 1477, 825, 1247, 2638, 312, 301, 256, 8782, 344, 262, 543, 2638, 312, 301, 256, 8782, 333, 9166, 476, 1948, 13765, 8206, 8782, 344, 262, 610, 2638, 8206, 8782, 333, 262, 1477, 1038, 2638, 312, 301, 284, 6358, 3488, 3674, 519, 7956, 26361, 22043, 286, 263, 344, 14672, 9385, 333, 20298, 825, 2132, 2638, 312, 301, 5897, 258, 1607, 1599, 568, 547, 2638, 2298, 540, 715, 9331, 21612, 11378, 1477, 258, 2252, 519, 3403, 1281, 711, 20618, 267, 519, 1982, 786, 711, 2132, 1477, 3698, 1205, 19617, 18425, 630, 2381, 267, 10946, 8029, 825, 814, 14187, 514, 25716, 1477, 825, 1247, 711, 814, 14187, 514, 6769, 1038, 1948, 1326, 3403, 607, 703, 1477, 1038, 1003, 1103, 25507, 9272, 3890, 3418, 1038, 952, 1003, 1103, 27045, 10946, 543, 1003, 1103, 285, 284, 2381, 6769, 2018, 814, 14187, 514, 18989, 1477, 825, 1948, 604, 1641, 19617, 285, 284, 2381, 543, 1641, 19617, 27045, 10946, 6769, 825, 2132, 1003, 1103, 24653, 2745, 2891, 1607, 1982, 786, 948, 1053, 1544, 1153, 10467, 676, 3246, 3268, 585, 14826, 1114, 2010, 29177, 8587, 834, 540, 10467, 26142, 333, 257, 10142, 2745, 2891, 2080, 616, 519, 2139, 7084, 3681, 24097, 333, 272, 281, 2237, 513, 7433, 14826, 273, 281, 8620, 513, 5530, 6651, 14826, 29177, 8587, 1412, 274, 281, 27026, 5741, 14826, 275, 281, 5649, 513, 30930, 3848, 14826, 276, 281, 10932, 7433, 14826, 262, 10142, 11357, 915, 11243, 8266, 284, 9131, 2237, 513, 7433, 12887, 8620, 513, 5530, 6651, 12887, 27026, 5741, 12887, 5649, 513, 30930, 3848, 12887, 10932, 7433, 11172, 1477, 2745, 3488, 8923, 4283, 519, 7084, 676, 10024, 519, 7222, 1297, 281, 20298, 258, 6358, 5498, 22162, 519, 1641, 1477, 11357, 915, 19617, 284, 1326, 19617, 18425, 263, 272, 267, 6352, 4433, 889, 915, 11243, 8266, 4297, 910, 272, 1948, 268, 272, 1317, 8638, 1293, 689, 476, 271, 1477, 2745, 28361, 333, 262, 10142, 17549, 3721, 338, 284, 14277, 10932, 2580, 834, 16521, 19080, 2580, 834, 11073, 1467, 7433, 2580, 834, 2237, 7433, 2580, 834, 28716, 5675, 4741, 2580, 834, 31171, 7433, 257, 15947, 7666, 728, 3721, 338, 284, 14277, 2237, 4147, 11872, 2580, 834, 2237, 7335, 11872, 2580, 834, 299, 8475, 11872, 676, 13445, 2580, 834, 9359, 5530, 6651, 2580, 834, 11754, 11762, 18780, 2580, 834, 11754, 13445, 19672, 257, 15947, 2889, 915, 3721, 338, 284, 9131, 22873, 658, 20051, 2060, 6828, 12887, 11073, 1467, 5741, 12887, 13729, 15706, 570, 3696, 12887, 306, 3832, 7191, 6828, 20821, 902, 12887, 13425, 769, 2060, 19478, 12887, 31171, 5741, 12887, 8138, 2466, 5741, 11172, 1477, 1504, 3721, 338, 284, 9131, 5649, 7170, 543, 16265, 1856, 12887, 306, 4754, 7335, 12887, 9616, 18500, 543, 6206, 16610, 262, 2437, 9616, 16610, 1411, 5213, 1405, 13760, 2580, 262, 2237, 513, 3848, 12834, 538, 2659, 13574, 16301, 11172, 1477, 10517, 1653, 3721, 338, 284, 9131, 10932, 13445, 12887, 16521, 17796, 12887, 12648, 11872, 593, 17796, 12887, 8620, 13022, 725, 12887, 11073, 1467, 7433, 12887, 2237, 7433, 12887, 31171, 7433, 12887, 16240, 4741, 16731, 12887, 29806, 3798, 1080, 11172, 1477, 11357, 915, 8266, 815, 1496, 17549, 3721, 338, 267, 476, 3391, 3721, 338, 267, 1788, 3721, 338, 267, 1433, 3721, 338, 267, 1065, 1653, 3721, 338, 267, 316, 5897, 9690, 8138, 329, 815, 1641, 8266, 314, 11357, 915, 19617, 316, 5897, 11133, 3721, 338, 284, 6352, 263, 9690, 8138, 329, 10142, 1721, 1900, 538, 1699, 8138, 329, 281, 476, 1948, 1721, 1142, 6221, 538, 519, 1592, 1477, 825, 1820, 263, 21163, 10142, 258, 6358, 9811, 270, 7224, 834, 20813, 3305, 29177, 25074, 13425, 284, 1326, 312, 301, 18425, 14052, 604, 3268, 13425, 2525, 262, 333, 262, 6769, 825, 7508, 284, 6358, 3488, 3674, 972, 1945, 7508, 286, 263, 344, 14672, 9385, 333, 20298, 825, 1247, 7508, 2525, 262, 344, 262, 6769, 1038, 1007, 3721, 284, 6358, 3488, 11767, 1715, 5153, 281, 1422, 333, 20298, 1038, 1699, 8138, 329, 6910, 28956, 3721, 3418, 1038, 7508, 284, 6358, 3488, 3674, 972, 4376, 3116, 7508, 286, 263, 344, 14672, 9385, 333, 20298, 825, 585, 4994, 538, 2039, 263, 271, 267, 6352, 263, 9690, 8138, 329, 264, 8029, 1038, 1820, 263, 8161, 267, 1412, 22207, 1699, 8138, 329, 27709, 29573, 1363, 1477, 825, 1931, 284, 6358, 3488, 3674, 519, 1931, 2953, 286, 263, 344, 14672, 9385, 333, 20298, 825, 952, 1931, 2525, 262, 333, 262, 6769, 1038, 1820, 3488, 2252, 972, 568, 513, 1900, 602, 596, 1131, 899, 547, 4894, 267, 609, 3835, 621, 689, 519, 1931, 9538, 3418, 1038, 1820, 3488, 11767, 17778, 538, 5551, 1931, 1210, 519, 7222, 1297, 9538, 3418, 1038, 1820, 3488, 8923, 4283, 1142, 1297, 609, 513, 2582, 2230, 694, 704, 908, 873, 281, 1412, 3418, 1038, 721, 337, 24576, 284, 6358, 3488, 1412, 3418, 1038, 721, 337, 24576, 284, 23591, 24576, 21858, 14052, 1038, 1007, 24576, 17342, 15947, 1038, 585, 1003, 538, 721, 337, 24576, 6769, 2018, 1007, 24576, 6910, 263, 9690, 8138, 329, 27776, 16325, 13580, 3418, 1038, 585, 1900, 538, 1007, 24576, 6769, 2018, 1820, 263, 21163, 3418, 17264, 1477, 2745, 3488, 8923, 9373, 634, 10606, 540, 17963, 19402, 2659, 9603, 11261, 12989, 281, 20298, 258, 6358, 1297, 540, 2395, 2476, 1477, 16746, 14630, 284, 1326, 19617, 18425, 263, 271, 267, 1220, 10142, 5632, 322, 291, 904, 284, 16746, 14630, 270, 11133, 3721, 338, 5897, 17058, 303, 21724, 284, 272, 1477, 1721, 1900, 538, 1699, 8138, 329, 281, 476, 1948, 1721, 1142, 6221, 538, 519, 1592, 1477, 825, 2395, 303, 21724, 23785, 5632, 322, 291, 904, 1477, 825, 1820, 3488, 28415, 676, 4303, 3299, 8971, 5560, 904, 303, 21724, 267, 8339, 273, 325, 30670, 262, 315, 339, 3299, 21163, 10142, 2745, 19304, 263, 8971, 263, 5632, 322, 291, 904, 267, 8339, 273, 325, 10807, 1070, 834, 529, 519, 1297, 540, 2395, 596, 723, 547, 2347, 1142, 1900, 14744, 24653, 0, 11133, 815, 476, 271, 454, 339, 565, 815, 476, 271, 454, 12248, 815, 476, 271, 454, 6112, 6936, 912, 825, 3143, 815, 3403, 3488, 11767, 513, 1297, 281, 5073, 825, 952, 3143, 2652, 1412, 323, 821, 12466, 1038, 2736, 454, 825, 3116, 912, 1038, 2119, 912, 2018, 1003, 815, 10581, 263, 5591, 994, 2018, 547, 331, 815, 547, 331, 266, 11133, 454, 2018, 1293, 815, 1293, 266, 272, 454, 1038, 4849, 912, 2018, 1820, 3488, 1103, 20777, 3403, 5073, 2018, 3136, 454, 2745, 6025, 565, 267, 1293, 267, 547, 331, 11305, 870, 994, 0, 325, 4067, 815, 3403, 3488, 11767, 3758, 281, 5073, 325, 8518, 815, 1930, 6600, 4067, 994, 4289, 815, 11713, 1721, 1899, 538, 535, 8518, 912, 825, 1913, 815, 1899, 21858, 4590, 825, 585, 1775, 538, 1913, 912, 1038, 952, 1775, 538, 1592, 281, 3136, 454, 1038, 1592, 6910, 9217, 994, 4289, 31699, 4590, 2745, 17338, 994, 0, 325, 4067, 815, 3403, 3488, 11767, 513, 3758, 2012, 281, 5073, 325, 8518, 815, 1930, 6600, 4067, 994, 12248, 815, 476, 271, 454, 325, 815, 476, 271, 454, 1721, 1899, 538, 535, 8518, 912, 825, 952, 1899, 269, 11034, 1873, 603, 3488, 311, 5937, 9915, 4456, 268, 18183, 2064, 262, 2187, 1038, 1003, 815, 1899, 26098, 3488, 281, 5073, 1038, 759, 815, 1899, 314, 11133, 266, 272, 281, 2639, 1038, 1293, 815, 1293, 266, 15615, 263, 637, 994, 1038, 535, 815, 535, 266, 272, 454, 2745, 6262, 870, 11721, 994, 0, 5228, 10070, 1104, 9949, 18743, 7531, 5035, 13641, 1384, 825, 1948, 20472, 528, 454, 825, 1219, 6449, 8181, 9191, 1345, 17107, 1038, 1948, 9949, 8675, 454, 1038, 1582, 3052, 1429, 815, 9949, 18743, 17338, 2020, 825, 1948, 4946, 6316, 454, 825, 1219, 1039, 318, 8354, 4311, 267, 579, 267, 642, 2187, 1038, 1582, 3052, 1429, 314, 340, 4940, 6572, 17635, 2020, 825, 1219, 546, 12028, 318, 583, 559, 4311, 267, 642, 267, 10272, 17107, 1038, 1948, 8228, 10272, 454, 1038, 10272, 14491, 17635, 994, 1038, 1820, 17635, 2020, 1038, 1948, 585, 16705, 454, 1038, 1948, 2638, 952, 10272, 454, 1038, 1948, 952, 711, 2196, 1586, 454, 1038, 585, 16705, 538, 1582, 3052, 1429, 314, 341, 14158, 2018, 952, 16705, 711, 538, 10272, 912, 3546, 1582, 269, 4206, 338, 318, 583, 559, 263, 31371, 13118, 267, 10272, 2020, 825, 1219, 546, 12028, 4311, 17107, 1038, 1948, 1711, 1305, 540, 10272, 454, 1038, 10272, 815, 1305, 10797, 1038, 1948, 585, 14584, 454, 1038, 1948, 2638, 952, 10272, 454, 1038, 1948, 952, 711, 2196, 1586, 454, 1038, 585, 14584, 538, 1592, 4311, 3052, 1429, 2187, 2018, 952, 14584, 711, 538, 10272, 912, 3546, 1582, 269, 4206, 338, 318, 583, 559, 263, 591, 23753, 267, 10272, 9239, 258, 8641, 454, 326, 815, 13641, 4590, 326, 14491, 318, 8354, 263, 271, 267, 476, 272, 994, 326, 14491, 318, 8354, 263, 271, 267, 476, 273, 994, 326, 14491, 318, 8354, 263, 272, 267, 476, 273, 994, 326, 14491, 318, 8354, 263, 273, 267, 476, 271, 994, 326, 14491, 318, 8354, 263, 273, 267, 476, 274, 994, 326, 14491, 318, 8354, 263, 274, 267, 476, 274, 2020, 2745, 2891, 16729, 568, 3493, 628, 3689, 3004, 951, 531, 5602, 326, 269, 4206, 338, 10797, 0, 1029, 10461, 1029, 815, 1412, 288, 1652, 663, 549, 2107, 577, 7236, 28847, 26611, 23591, 24800, 270, 7090, 454, 18851, 293, 17313, 602, 6218, 13113, 1114, 16755, 610, 15285, 14290, 454, 20701, 5814, 11885, 607, 5286, 692, 3698, 667, 325, 7804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1224, 5931, 538, 20131, 942, 607, 1134, 607, 1641, 3610, 2542, 16965, 5931, 4143, 547, 741, 1641, 454, 268, 12071, 550, 7335, 21290, 281, 11334, 1058, 2203, 31402, 2542, 267, 6029, 875, 547, 24969, 14542, 6863, 543, 3384, 1053, 685, 6863, 543, 9962, 1702, 454, 268, 8177, 593, 4804, 281, 1879, 2944, 1134, 267, 2542, 16965, 547, 10453, 568, 513, 3532, 9920, 267, 18363, 593, 2542, 267, 2069, 267, 1514, 543, 3929, 1134, 5630, 454, 268, 8838, 2711, 5113, 281, 32167, 2812, 1058, 1694, 20354, 609, 1100, 19240, 282, 621, 666, 581, 606, 11791, 3838, 1995, 585, 782, 454, 2171, 616, 8840, 519, 1007, 2542, 10850, 1524, 538, 938, 13595, 26064, 22045, 799, 786, 581, 21945, 538, 5239, 476, 1708, 274, 269, 1677, 3251, 909, 547, 4266, 609, 519, 2542, 10850, 543, 938, 1641, 6205, 22045, 267, 24049, 547, 938, 20394, 1934, 563, 2791, 666, 1265, 634, 7335, 17563, 1934, 563, 2791, 666, 1265, 634, 6465, 21881, 17563, 585, 661, 312, 12396, 1934, 269, 0, 2026, 4166, 607, 707, 1762, 4775, 6539, 1084, 10301, 519, 2085, 540, 5111, 2185, 3275, 610, 607, 3735, 607, 476, 1015, 547, 476, 1321, 3275, 267, 952, 513, 3032, 814, 711, 1044, 838, 26359, 630, 928, 583, 1229, 1070, 1352, 786, 979, 998, 1200, 1101, 1609, 6350, 4783, 267, 799, 568, 519, 6697, 540, 519, 4775, 1480, 18492, 4783, 269, 901, 2783, 568, 1572, 1373, 968, 514, 3002, 892, 543, 1797, 602, 1352, 568, 4712, 547, 19898, 543, 814, 6603, 4638, 15657, 563, 290, 1846, 616, 968, 335, 8432, 652, 9317, 2223, 2495, 789, 666, 979, 998, 1896, 9979, 540, 1373, 538, 3002, 1169, 1032, 269, 2659, 11032, 583, 1229, 3032, 666, 723, 909, 547, 2947, 1396, 1562, 513, 1032, 267, 1142, 9967, 540, 607, 1906, 607, 835, 6539, 1084, 585, 513, 1101, 6379, 267, 909, 547, 606, 6909, 8370, 6539, 29181, 1142, 942, 789, 2285, 4332, 269, 1133, 928, 583, 1229, 4775, 7314, 2356, 723, 606, 3328, 540, 1614, 26691, 513, 1032, 269, 11354, 5503, 568, 849, 1634, 607, 968, 18145, 1084, 4005, 5608, 607, 602, 942, 540, 1032, 4667, 547, 581, 513, 3226, 513, 22273, 5534, 942, 585, 7314, 547, 2285, 4332, 563, 2467, 616, 930, 1919, 596, 666, 798, 547, 948, 707, 3032, 538, 3002, 269, 12315, 873, 3063, 3007, 267, 609, 811, 982, 8912, 4620, 1154, 543, 17678, 269, 2701, 949, 1871, 930, 3063, 1404, 5503, 269, 2368, 2303, 16909, 14319, 949, 948, 269, 5269, 2386, 782, 9885, 267, 9486, 267, 543, 9101, 11507, 616, 6806, 1055, 269, 5901, 1200, 16445, 4216, 607, 2973, 607, 2009, 269, 19321, 513, 9350, 5790, 538, 519, 1753, 267, 543, 1404, 22196, 2575, 563, 29819, 2334, 2659, 9697, 1772, 769, 14333, 454, 763, 4191, 602, 707, 4775, 3032, 568, 538, 3002, 616, 29267, 626, 752, 762, 269, 2701, 786, 875, 331, 610, 803, 578, 10978, 569, 267, 5497, 547, 4482, 513, 1761, 19898, 779, 3007, 267, 799, 568, 3339, 7180, 585, 606, 796, 17898, 26359, 3032, 269, 2701, 949, 8263, 519, 20282, 2990, 950, 588, 549, 330, 539, 543, 4620, 1540, 267, 609, 1200, 2212, 6367, 539, 543, 12042, 18392, 6659, 269, 2701, 786, 3335, 4159, 3063, 3007, 267, 27012, 909, 811, 982, 8912, 1996, 596, 267, 824, 3425, 267, 610, 3615, 538, 519, 1753, 269, 2290, 1253, 7675, 1129, 540, 1373, 538, 3002, 585, 606, 11032, 583, 1229, 4775, 3032, 568, 30574, 10729, 1472, 519, 2777, 547, 1665, 1200, 8513, 563, 7312, 3032, 949, 6336, 1200, 14031, 269, 2701, 949, 11179, 561, 1157, 1200, 19058, 1858, 267, 799, 666, 581, 1266, 528, 3022, 269, 2701, 949, 849, 968, 1345, 5991, 9309, 2223, 799, 1797, 561, 10107, 519, 7882, 776, 15374, 547, 12954, 5144, 2504, 269, 6884, 267, 707, 3032, 786, 608, 8775, 513, 26481, 11166, 630, 3697, 513, 1974, 1040, 2659, 26804, 3659, 568, 2693, 547, 16111, 3343, 1930, 9486, 267, 9885, 267, 610, 824, 608, 1080, 1141, 1352, 1223, 9101, 547, 1265, 513, 19898, 563, 2252, 707, 4775, 3032, 568, 711, 9176, 267, 1352, 786, 556, 268, 10938, 519, 1609, 6350, 4783, 513, 1906, 4374, 2663, 543, 593, 543, 593, 2394, 2901, 1352, 568, 838, 26359, 610, 3587, 9176, 269, 901, 4783, 849, 1964, 11301, 1472, 3670, 547, 5216, 4374, 1310, 1200, 6539, 29181, 616, 4535, 610, 1175, 1310, 649, 22135, 269, 3962, 1609, 6350, 4783, 786, 2063, 689, 1896, 2395, 547, 1079, 4374, 563, 2252, 707, 3032, 29982, 855, 713, 1281, 711, 1267, 538, 513, 6379, 267, 972, 568, 606, 16613, 7613, 1634, 607, 968, 32401, 892, 610, 968, 28783, 892, 6379, 267, 1282, 799, 707, 26804, 786, 4159, 4191, 540, 6379, 585, 513, 1906, 2395, 610, 1256, 4374, 269, 769, 713, 2013, 267, 519, 1152, 1259, 547, 1265, 856, 952, 707, 3032, 568, 9176, 568, 547, 1491, 1200, 547, 519, 17022, 563, 15919, 267, 7301, 6379, 2589, 666, 849, 581, 31916, 540, 513, 811, 3978, 267, 5817, 2564, 2783, 269, 20050, 540, 7301, 6379, 666, 1331, 23762, 7882, 776, 15374, 267, 22224, 17737, 267, 13481, 267, 2597, 2744, 267, 21224, 19326, 267, 543, 968, 15948, 532, 892, 824, 10130, 610, 3615, 269, 2659, 17022, 949, 4363, 17441, 5574, 952, 713, 7301, 6379, 8952, 556, 24593, 2590, 267, 610, 6148, 9065, 9222, 1506, 560, 699, 551, 3912, 267, 2495, 9427, 519, 30124, 543, 19786, 563, 3682, 338, 2986, 1975, 11691, 630, 10468, 583, 1359, 994, 763, 1152, 1259, 547, 2061, 713, 2479, 3146, 701, 908, 1609, 6350, 4783, 689, 9648, 568, 547, 723, 1200, 838, 26359, 676, 513, 19579, 17022, 269, 1975, 11691, 568, 513, 3044, 5650, 602, 2356, 3322, 9427, 519, 30124, 543, 19786, 269, 901, 5106, 4523, 950, 707, 3032, 568, 711, 538, 3002, 1813, 547, 22224, 1973, 8043, 685, 8594, 267, 5732, 3056, 547, 5230, 11702, 952, 519, 5650, 4386, 1282, 602, 942, 563, 763, 5294, 540, 6120, 1359, 616, 1082, 543, 5393, 6225, 585, 707, 3032, 269, 1975, 11691, 568, 513, 3044, 10551, 5106, 602, 23352, 519, 1981, 540, 13311, 6379, 269, 1306, 4330, 1657, 267, 7314, 616, 1360, 3811, 9742, 619, 267, 543, 4775, 7314, 666, 2285, 4332, 1082, 2053, 936, 741, 14438, 269, 1975, 11691, 6971, 519, 1981, 540, 1200, 2348, 606, 13311, 16445, 543, 5543, 1407, 519, 1966, 540, 556, 327, 17639, 1762, 6539, 29181, 269, 1306, 1022, 3662, 12062, 786, 2995, 596, 267, 789, 616, 538, 1495, 730, 609, 13311, 6539, 29181, 782, 1032, 5180, 267, 543, 621, 568, 4101, 547, 556, 27440, 891, 1082, 13311, 7314, 563, 10468, 583, 1359, 707, 3032, 786, 1118, 1200, 1608, 1067, 543, 26982, 2678, 269, 4173, 2295, 2557, 1058, 979, 1524, 1310, 838, 11691, 269, 2701, 1058, 581, 1447, 2693, 547, 11116, 269, 2659, 3032, 4465, 1406, 2141, 581, 10912, 856, 585, 513, 19898, 269, 4173, 29525, 1310, 838, 11691, 786, 3592, 6157, 581, 1608, 1067, 267, 543, 1352, 786, 581, 811, 15754, 622, 563, 8967, 11691, 8951, 1797, 602, 972, 666, 581, 1100, 2860, 540, 519, 30124, 543, 19786, 267, 7510, 2210, 571, 267, 610, 29897, 3968, 267, 865, 1200, 1072, 786, 2087, 269, 2701, 786, 849, 581, 1447, 2693, 547, 7985, 689, 26252, 525, 269, 1975, 11691, 849, 11151, 6089, 6084, 2293, 267, 799, 616, 23872, 630, 4754, 1356, 748, 1070, 538, 1472, 476, 3445, 829, 1298, 540, 7314, 563, 5194, 6454, 568, 602, 838, 26359, 4775, 7314, 616, 2484, 1447, 2693, 547, 1665, 741, 8513, 676, 30574, 10729, 269, 2659, 3032, 786, 581, 1454, 1447, 2693, 547, 3343, 14827, 11507, 543, 581, 811, 1543, 547, 3251, 3330, 519, 1753, 269, 1473, 3233, 7314, 1810, 1406, 2196, 519, 1482, 8009, 4220, 267, 971, 607, 1373, 2196, 936, 610, 18215, 5945, 267, 607, 9205, 3283, 269, 1358, 849, 616, 711, 865, 12155, 547, 3478, 883, 3614, 21874, 3032, 325, 2074, 602, 9205, 7314, 7985, 689, 563, 8256, 2986, 1975, 11691, 454, 2467, 616, 513, 1906, 931, 547, 838, 11691, 267, 824, 982, 707, 3032, 949, 1205, 1932, 5230, 269, 634, 1981, 540, 8377, 568, 1614, 2053, 2362, 538, 10322, 28895, 7314, 982, 538, 1875, 16250, 583, 1229, 3283, 269, 4595, 707, 3032, 568, 1608, 1067, 538, 29525, 1310, 6120, 1359, 267, 596, 786, 723, 547, 1852, 1200, 2732, 811, 5402, 269, 2701, 786, 711, 581, 887, 5446, 1472, 3168, 585, 513, 19898, 267, 865, 1352, 786, 711, 6633, 1055, 1346, 3063, 8477, 563, 21798, 2986, 1975, 11691, 454, 2005, 568, 4502, 10992, 2436, 513, 29979, 6120, 1359, 1982, 13333, 538, 707, 1858, 269, 16930, 19190, 1685, 838, 11691, 585, 513, 3810, 4389, 1942, 547, 741, 5411, 607, 513, 3028, 547, 519, 2489, 2146, 543, 607, 851, 540, 513, 1970, 21057, 838, 599, 1982, 269, 901, 5650, 6971, 519, 1297, 540, 13311, 6539, 29181, 4535, 21496, 538, 1585, 29117, 338, 563, 2690, 1383, 267, 519, 6789, 303, 7563, 13333, 513, 1970, 21057, 838, 11691, 1982, 538, 1585, 2950, 267, 6402, 547, 799, 666, 581, 1336, 593, 741, 3896, 630, 30956, 5661, 3177, 2630, 1040, 1975, 11691, 2533, 949, 581, 1863, 538, 1978, 2127, 585, 1970, 13867, 10820, 1141, 1367, 2829, 2015, 513, 7622, 779, 4747, 950, 5356, 13564, 1242, 838, 11691, 2533, 563, 8794, 513, 4357, 17022, 786, 1942, 14320, 811, 585, 713, 3028, 267, 1472, 1269, 1911, 20733, 269, 634, 5227, 2085, 585, 838, 11691, 513, 3032, 568, 1310, 741, 1101, 24409, 267, 693, 5111, 2185, 3275, 540, 2085, 563, 293, 1968, 7314, 616, 3989, 607, 7314, 945, 723, 2760, 1044, 538, 2673, 3346, 609, 3425, 267, 7429, 2269, 903, 267, 799, 2899, 1185, 513, 1753, 855, 1287, 9411, 519, 3552, 585, 8726, 2601, 269, 2755, 2269, 903, 1223, 5732, 581, 556, 14194, 641, 1540, 267, 535, 1968, 7314, 2611, 7357, 5667, 3469, 1242, 585, 1480, 7919, 563, 6624, 4872, 723, 7550, 570, 24520, 3292, 547, 2569, 13311, 535, 1968, 7314, 538, 2950, 543, 24644, 519, 4540, 3032, 2551, 269, 898, 568, 513, 6952, 267, 838, 599, 267, 543, 5305, 1982, 267, 513, 1480, 324, 1259, 540, 9013, 519, 1297, 540, 7314, 538, 519, 3552, 269, 674, 1968, 7314, 616, 9575, 538, 4216, 20637, 543, 4547, 547, 513, 17022, 585, 10322, 559, 5314, 269, 2991, 519, 5650, 267, 519, 17022, 786, 17157, 519, 3032, 779, 1274, 607, 513, 8471, 1129, 799, 2982, 789, 723, 1044, 18764, 543, 6120, 1229, 269, 2991, 2072, 267, 519, 3032, 568, 8120, 547, 922, 1753, 538, 519, 3552, 563, 307, 1905, 9539, 324, 17458, 7304, 564, 1248, 3292, 616, 1454, 811, 14323, 543, 1480, 324, 982, 6952, 7146, 10275, 650, 4507, 267, 799, 616, 16970, 543, 23696, 2094, 824, 7314, 1847, 538, 547, 6445, 513, 12511, 950, 519, 3032, 2551, 538, 835, 1858, 814, 8519, 563, 763, 570, 24520, 1184, 3790, 1472, 1269, 2004, 547, 1269, 2568, 829, 3032, 3079, 540, 1472, 1269, 1911, 547, 552, 3578, 534, 1125, 513, 3032, 269, 2986, 1576, 267, 570, 24520, 849, 17990, 891, 7314, 685, 2729, 543, 568, 513, 1454, 32571, 543, 3730, 1982, 538, 519, 2950, 602, 946, 713, 1062, 547, 1852, 741, 535, 1968, 26804, 2551, 269, 0, 4263, 634, 9142, 540, 12142, 14731, 540, 2667, 27599, 267, 649, 16101, 11585, 607, 513, 1158, 538, 799, 1053, 666, 2263, 519, 2035, 540, 25872, 267, 1747, 543, 2230, 269, 3414, 741, 2090, 883, 519, 26441, 540, 1480, 543, 2168, 11585, 267, 938, 1053, 1020, 741, 1620, 540, 1018, 621, 1797, 547, 581, 851, 540, 513, 2199, 267, 6237, 267, 3084, 543, 3486, 2146, 609, 7279, 543, 5539, 585, 519, 2230, 789, 9468, 269, 11086, 267, 11585, 568, 827, 513, 14820, 1496, 303, 872, 576, 3910, 30228, 267, 7744, 543, 679, 638, 3931, 883, 1018, 568, 782, 1472, 721, 269, 1284, 2832, 547, 8300, 938, 1053, 547, 1294, 519, 5624, 789, 723, 543, 786, 4866, 547, 607, 3283, 540, 1514, 267, 2804, 543, 2825, 22524, 11163, 269, 589, 3811, 1480, 12504, 1281, 711, 957, 538, 10072, 267, 855, 1568, 607, 513, 2518, 2319, 882, 5050, 593, 519, 2048, 324, 8997, 8647, 540, 2067, 1949, 685, 1496, 13233, 15099, 14073, 9961, 741, 11585, 3460, 267, 1053, 786, 1847, 1063, 519, 1641, 779, 2462, 2093, 1107, 4974, 1480, 267, 2168, 543, 5348, 641, 6776, 1949, 1107, 547, 7683, 4228, 519, 1702, 543, 1983, 789, 723, 6591, 609, 721, 543, 689, 3105, 6206, 853, 1137, 269, 11109, 6594, 519, 2035, 540, 2244, 946, 543, 11175, 693, 6206, 8609, 476, 273, 267, 585, 1383, 267, 938, 6267, 1287, 1020, 713, 2417, 547, 4983, 519, 1950, 4128, 585, 543, 5222, 540, 9194, 267, 8220, 621, 609, 2916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22955, 476, 280, 269, 15836, 543, 476, 280, 269, 16328, 269, 630, 8450, 267, 594, 5143, 596, 602, 594, 8910, 3095, 621, 1394, 547, 3267, 2020, 307, 28692, 6730, 16998, 4338, 9391, 9215, 12327, 303, 6369, 2562, 5990, 674, 5357, 299, 8582, 5058, 2098, 6261, 28356, 292, 12813, 302, 4811, 692, 27237, 2464, 9215, 590, 23852, 1384, 7246, 294, 301, 3951, 11070, 292, 692, 303, 3421, 267, 13804, 3363, 815, 476, 272, 22230, 692, 313, 14058, 267, 13804, 3363, 815, 667, 692, 15771, 17955, 692, 303, 3421, 267, 1849, 1442, 3772, 10047, 267, 1039, 519, 5123, 5086, 692, 313, 14058, 267, 1849, 1442, 3772, 10047, 267, 10208, 519, 5123, 5086, 692, 8201, 1109, 280, 269, 15793, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 15389, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 15946, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 16928, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 9610, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 15221, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 16318, 281, 5442, 306, 12224, 26480, 3582, 780, 8201, 1109, 280, 269, 16960, 281, 5442, 306, 12224, 26480, 3582, 780, 20062, 2969, 17692, 8946, 16730, 25758, 29375, 302, 10758, 27749, 623, 5357, 2464, 10758, 2098, 2207, 5308, 2496, 303, 3421, 267, 13804, 3363, 815, 476, 272, 22230, 272, 2608, 476, 272, 22230, 273, 692, 313, 14058, 267, 7395, 815, 667, 272, 2608, 667, 273, 692, 4942, 848, 1482, 607, 609, 2582, 24504, 610, 20023, 692, 8201, 1109, 280, 269, 13893, 281, 5442, 306, 12224, 26480, 3582, 780, 2162, 476, 280, 269, 279, 7913, 681, 1197, 828, 566, 692, 2971, 476, 280, 269, 279, 269, 272, 3778, 692, 7712, 519, 3498, 540, 3059, 5365, 4393, 547, 8301, 6786, 267, 972, 723, 1044, 1082, 8942, 547, 1711, 606, 12705, 540, 2230, 1210, 1585, 6620, 269, 1280, 519, 2250, 476, 2412, 1296, 267, 3875, 3173, 543, 5010, 9367, 723, 25282, 2789, 2994, 585, 13754, 1944, 5691, 17974, 5054, 609, 8795, 5232, 540, 1967, 269, 7756, 2409, 723, 8810, 547, 581, 811, 14018, 547, 1880, 3156, 799, 666, 581, 5258, 883, 1079, 2101, 4610, 1384, 272, 269, 5010, 8106, 2575, 2504, 543, 4670, 543, 8613, 2022, 1790, 3174, 454, 273, 269, 5010, 1402, 2575, 2504, 267, 6850, 659, 15064, 2575, 5888, 630, 10175, 2780, 2575, 264, 543, 2780, 3756, 780, 1103, 519, 5449, 2013, 267, 10991, 26871, 828, 566, 568, 3335, 1031, 547, 17932, 1483, 17974, 5054, 267, 3622, 609, 519, 9837, 540, 13587, 1516, 19700, 883, 18468, 621, 568, 606, 4890, 2230, 269, 769, 519, 8545, 2013, 267, 519, 10991, 5054, 616, 3622, 5497, 547, 2408, 547, 581, 4010, 602, 1107, 10991, 1107, 1035, 24065, 923, 799, 616, 9308, 7543, 538, 519, 1483, 1158, 267, 9247, 4611, 538, 519, 4393, 1373, 1031, 811, 607, 606, 6293, 982, 606, 1604, 269, 769, 2901, 3236, 267, 519, 26871, 828, 566, 1590, 581, 8353, 24312, 11807, 538, 1931, 547, 3986, 543, 9148, 2864, 982, 1033, 847, 689, 519, 2773, 621, 9311, 625, 780, 19013, 267, 607, 568, 11329, 856, 676, 8493, 1676, 2073, 2094, 513, 1804, 851, 540, 519, 1646, 540, 10991, 26871, 828, 566, 6620, 814, 1044, 5645, 856, 676, 9746, 4145, 585, 5010, 2472, 267, 1082, 11580, 3823, 741, 6620, 616, 711, 3838, 269, 14992, 602, 7048, 593, 519, 9042, 540, 971, 2472, 2226, 9120, 1587, 2298, 676, 4180, 602, 741, 5773, 616, 711, 1031, 676, 15712, 267, 3976, 1702, 568, 11876, 12023, 2864, 982, 7856, 267, 18867, 23646, 3356, 538, 519, 2361, 269, 1306, 513, 1267, 267, 1082, 25727, 3823, 1699, 20749, 31465, 6620, 666, 1152, 581, 2901, 1147, 332, 2213, 610, 9258, 268, 19956, 1229, 780, 26452, 6620, 543, 4485, 547, 1035, 24065, 923, 11191, 723, 1044, 2919, 2094, 519, 4417, 540, 3059, 5365, 4393, 538, 519, 8301, 543, 4670, 6080, 269, 1452, 666, 581, 29101, 6896, 883, 1614, 2516, 1759, 593, 741, 2596, 27564, 4162, 1384, 272, 269, 512, 11474, 973, 597, 1529, 908, 8488, 3631, 454, 273, 269, 12166, 3631, 543, 454, 274, 269, 32094, 3631, 780, 7462, 570, 11474, 973, 597, 1529, 908, 8488, 2203, 692, 7197, 2413, 3059, 26871, 828, 566, 9817, 946, 513, 4015, 540, 1617, 527, 777, 17799, 267, 25276, 2036, 12086, 543, 782, 10139, 12086, 4448, 538, 3126, 543, 6252, 609, 1585, 10659, 540, 9936, 19383, 547, 5352, 5841, 17974, 5624, 269, 4595, 891, 1949, 616, 1759, 593, 32234, 540, 2241, 512, 11474, 17799, 609, 5955, 543, 2744, 1852, 789, 2887, 896, 519, 2489, 2165, 540, 512, 11474, 973, 597, 1529, 908, 8488, 610, 13138, 291, 3631, 1547, 901, 814, 1044, 519, 3044, 1505, 540, 10451, 5841, 26871, 828, 566, 585, 5111, 476, 2412, 1296, 780, 763, 1101, 4922, 7608, 1505, 540, 2870, 10991, 26871, 828, 566, 1210, 3059, 5365, 4393, 568, 11911, 547, 2494, 15728, 681, 269, 5576, 549, 25005, 945, 267, 538, 476, 3422, 272, 543, 476, 3422, 273, 267, 3370, 1079, 25761, 4574, 10503, 5773, 1210, 2241, 3126, 543, 6252, 12417, 540, 25276, 2036, 543, 782, 10139, 12086, 31002, 968, 22780, 26871, 828, 2209, 892, 630, 5408, 7612, 476, 280, 269, 13970, 264, 6736, 519, 1249, 602, 891, 3631, 1031, 3108, 540, 19106, 942, 593, 1292, 18134, 5904, 267, 789, 7283, 519, 6620, 540, 3903, 543, 941, 1031, 14916, 693, 18013, 971, 607, 18628, 2160, 543, 594, 13612, 4456, 585, 936, 513, 8717, 16317, 1103, 476, 3192, 271, 5576, 549, 25005, 6700, 606, 6454, 547, 1010, 1062, 609, 519, 10014, 540, 2038, 1379, 538, 519, 1106, 540, 15768, 18759, 799, 786, 581, 5941, 538, 519, 7766, 3296, 1547, 2755, 519, 5576, 549, 25005, 6620, 941, 24080, 7608, 789, 798, 8858, 513, 1297, 540, 2042, 13890, 538, 476, 3192, 280, 676, 6276, 18703, 337, 269, 1452, 20286, 8998, 1472, 519, 3668, 540, 829, 24632, 11413, 540, 519, 1062, 267, 5097, 513, 1267, 540, 519, 7050, 16134, 540, 519, 1770, 26871, 828, 2209, 269, 18703, 337, 23403, 1614, 2101, 2042, 609, 519, 1062, 16317, 272, 269, 589, 968, 25419, 892, 538, 519, 26871, 828, 656, 9178, 19221, 267, 8200, 593, 519, 1931, 540, 519, 1062, 269, 9521, 519, 2013, 538, 1483, 1035, 24065, 923, 799, 2408, 547, 1376, 609, 513, 10053, 26871, 828, 656, 2361, 543, 9178, 28354, 267, 519, 5576, 549, 25005, 5690, 11148, 547, 723, 606, 2912, 4601, 14887, 4323, 23508, 563, 273, 269, 634, 968, 8243, 26743, 1145, 892, 540, 519, 9178, 568, 3810, 8200, 593, 519, 2078, 540, 519, 1585, 2744, 543, 8488, 9936, 5468, 540, 519, 1770, 26871, 828, 2209, 269, 6736, 519, 946, 540, 6305, 3347, 1063, 1585, 8488, 2053, 267, 968, 571, 13949, 1606, 15929, 892, 1232, 904, 941, 2653, 547, 3035, 563, 274, 269, 1323, 2912, 1043, 968, 2590, 532, 892, 1198, 568, 4749, 519, 1267, 540, 519, 5690, 267, 3335, 1644, 547, 519, 22298, 12451, 3361, 676, 519, 8488, 942, 3347, 538, 519, 1770, 26871, 828, 2209, 780, 27770, 648, 337, 6700, 513, 1297, 540, 9283, 593, 5576, 549, 25005, 779, 3312, 5690, 1519, 519, 4367, 540, 1079, 1007, 1770, 26871, 828, 2209, 267, 17941, 606, 968, 8113, 650, 2218, 782, 1790, 817, 892, 543, 606, 968, 8113, 650, 2218, 2036, 2223, 543, 519, 946, 540, 1970, 1790, 817, 19003, 538, 519, 5955, 17787, 1312, 547, 1159, 792, 519, 942, 3210, 540, 15768, 30172, 543, 547, 18082, 519, 10338, 540, 1164, 4908, 6786, 538, 2011, 585, 519, 26871, 828, 656, 2361, 780, 7462, 2983, 6248, 2203, 692, 763, 13138, 291, 2203, 12346, 8185, 593, 519, 829, 24632, 10305, 540, 519, 1770, 26871, 828, 2209, 538, 519, 3801, 547, 17932, 1483, 1035, 24065, 923, 269, 2755, 519, 946, 540, 1585, 10659, 540, 25276, 2036, 543, 782, 10139, 12086, 4114, 23660, 519, 27556, 9178, 540, 513, 26871, 828, 656, 2230, 267, 972, 568, 1100, 4674, 547, 21613, 5730, 4162, 540, 2168, 5624, 269, 4014, 713, 1062, 666, 581, 1031, 547, 1683, 606, 7850, 11191, 540, 519, 2663, 3334, 538, 513, 26871, 828, 656, 9178, 267, 621, 666, 1152, 581, 4397, 547, 1683, 513, 11315, 19406, 585, 2565, 3156, 538, 19220, 540, 5576, 549, 25005, 779, 3409, 538, 476, 3422, 273, 602, 519, 3977, 689, 971, 513, 1062, 267, 538, 930, 14621, 267, 729, 829, 1061, 1302, 968, 785, 626, 3907, 27720, 892, 689, 19827, 1500, 538, 1483, 5624, 780, 1103, 476, 3192, 271, 267, 519, 13138, 291, 1062, 729, 4824, 13497, 609, 5576, 549, 25005, 779, 10014, 540, 513, 1617, 527, 777, 8488, 799, 3177, 20533, 2038, 18759, 1547, 3683, 519, 2250, 476, 1789, 1296, 267, 713, 1062, 814, 22734, 3875, 9283, 267, 7064, 7361, 547, 4679, 538, 6988, 609, 2799, 4393, 1379, 269, 6736, 519, 1249, 602, 713, 2203, 729, 519, 1101, 1062, 547, 581, 1031, 547, 30075, 5841, 17974, 5054, 267, 621, 3788, 519, 1034, 4122, 268, 4310, 2203, 538, 1256, 519, 21777, 5010, 3457, 269, 4706, 3355, 1646, 16941, 593, 519, 4398, 540, 519, 13138, 291, 6620, 543, 519, 946, 540, 25276, 2609, 547, 2203, 26871, 828, 566, 829, 1061, 1302, 269, 2755, 713, 1062, 1281, 711, 1683, 606, 4977, 6041, 540, 519, 1483, 4162, 540, 513, 26871, 828, 656, 2230, 267, 922, 4398, 543, 829, 24632, 6631, 2329, 9114, 693, 519, 2295, 540, 922, 4797, 10343, 780, 2467, 616, 1079, 9030, 2409, 1031, 538, 12719, 519, 1483, 13796, 543, 8901, 4162, 540, 519, 8086, 4806, 540, 606, 26456, 267, 1142, 3246, 5383, 543, 11393, 269, 1452, 616, 519, 18422, 13652, 576, 2203, 543, 519, 3239, 2203, 269, 5565, 3606, 16097, 616, 6508, 689, 891, 543, 616, 1634, 607, 519, 13409, 10250, 2203, 630, 10193, 1634, 607, 11237, 16439, 264, 543, 519, 10316, 1505, 780, 305, 599, 13652, 576, 2203, 692, 19913, 549, 25005, 779, 9837, 538, 519, 1840, 540, 513, 1617, 527, 777, 8488, 547, 519, 13138, 291, 1062, 729, 547, 18082, 519, 2038, 8086, 4806, 540, 513, 1483, 26456, 269, 769, 1931, 547, 3313, 519, 3617, 8488, 2053, 267, 12374, 543, 3443, 940, 585, 891, 17799, 267, 646, 8359, 547, 946, 513, 1079, 8820, 2203, 540, 513, 1483, 4055, 267, 12719, 519, 10092, 540, 476, 4968, 3280, 12345, 9070, 908, 856, 2072, 689, 519, 3280, 2707, 2509, 519, 6821, 1547, 32114, 5276, 3210, 4162, 1312, 689, 519, 2011, 543, 519, 14436, 2627, 267, 646, 13604, 7229, 513, 3126, 540, 17799, 547, 18082, 519, 2038, 8086, 3270, 585, 513, 2016, 2707, 543, 26575, 4087, 543, 9138, 4055, 9511, 269, 901, 8488, 12440, 729, 1287, 1031, 547, 1683, 519, 2038, 8086, 4806, 540, 519, 4055, 267, 609, 519, 13138, 291, 2203, 1373, 1031, 547, 1683, 519, 5551, 26871, 828, 656, 4162, 780, 1607, 568, 513, 2241, 1383, 540, 519, 1062, 799, 814, 2097, 547, 581, 1634, 607, 18422, 13652, 1424, 269, 769, 621, 267, 519, 9750, 5951, 12506, 568, 2808, 607, 513, 1297, 540, 12345, 540, 1648, 267, 3335, 8449, 22274, 16070, 569, 1472, 519, 3280, 2707, 269, 1306, 1142, 18422, 9070, 919, 856, 2072, 267, 621, 786, 2743, 513, 10452, 2627, 543, 13604, 581, 556, 30928, 883, 519, 26456, 693, 513, 1007, 5086, 269, 901, 5650, 5170, 2394, 2901, 513, 840, 1673, 17827, 3970, 593, 519, 1931, 1297, 540, 519, 8086, 568, 6603, 610, 519, 18422, 13341, 519, 17513, 269, 634, 3617, 942, 543, 2744, 540, 1142, 18422, 693, 519, 17513, 568, 4061, 7229, 543, 6740, 267, 609, 519, 4015, 540, 782, 19670, 12345, 4611, 538, 519, 7229, 20949, 3210, 540, 519, 4055, 269, 769, 811, 10427, 1949, 267, 519, 4726, 696, 633, 4162, 540, 1142, 10452, 2627, 666, 581, 3769, 676, 7311, 606, 3617, 6882, 547, 519, 20949, 585, 1142, 7222, 8086, 780, 1607, 1062, 568, 606, 5140, 1505, 585, 12719, 519, 20949, 3210, 540, 513, 4055, 609, 3875, 7252, 609, 12150, 9511, 2094, 519, 2199, 5872, 540, 1142, 18422, 609, 519, 4478, 1604, 568, 2808, 2429, 922, 3003, 18640, 269, 9182, 267, 16070, 9273, 616, 1500, 538, 3126, 543, 616, 4061, 5266, 2241, 269, 1306, 513, 1267, 621, 568, 519, 1062, 1034, 4922, 1031, 538, 3301, 2919, 585, 1035, 24065, 923, 12605, 1547, 2290, 9030, 8594, 609, 713, 1062, 568, 602, 267, 8259, 513, 1804, 1297, 540, 12345, 616, 1031, 267, 621, 568, 2009, 602, 1970, 19195, 18759, 786, 581, 31360, 2094, 789, 786, 2049, 1063, 7285, 269, 901, 568, 1317, 519, 5982, 3270, 540, 3280, 2959, 616, 7229, 593, 3067, 1242, 7285, 3079, 540, 6024, 2230, 269, 9182, 267, 621, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19436, 3070, 1362, 476, 1321, 3184, 476, 276, 8033, 8462, 543, 7756, 6636, 3635, 476, 276, 269, 279, 6128, 851, 476, 272, 692, 1012, 12327, 2207, 290, 30990, 476, 276, 269, 279, 692, 2971, 7726, 476, 272, 1384, 19723, 1518, 17029, 548, 779, 14497, 585, 519, 1599, 692, 763, 2016, 1599, 23463, 1373, 513, 9971, 1599, 267, 568, 6024, 538, 1496, 6629, 275, 267, 476, 273, 316, 543, 568, 1114, 4192, 538, 630, 6629, 275, 267, 476, 273, 6393, 30043, 1109, 325, 1109, 263, 6629, 275, 264, 815, 1109, 325, 1109, 263, 273, 264, 815, 476, 271, 692, 22382, 634, 1871, 540, 1109, 325, 1109, 3287, 264, 693, 6567, 275, 543, 476, 273, 14626, 1938, 780, 305, 565, 548, 779, 14497, 2829, 602, 972, 568, 513, 1448, 1109, 322, 1109, 4501, 486, 630, 6629, 275, 267, 476, 273, 264, 971, 602, 692, 17798, 267, 17029, 548, 779, 14497, 568, 20240, 585, 519, 2016, 1599, 780, 2971, 7726, 476, 273, 1384, 2750, 8533, 952, 17029, 548, 779, 14497, 568, 10858, 547, 1022, 540, 519, 1739, 3252, 269, 2052, 596, 2161, 930, 3364, 827, 519, 598, 2091, 540, 17029, 548, 779, 14497, 689, 891, 1806, 2496, 9217, 2020, 23870, 2020, 31702, 2020, 3528, 17029, 548, 779, 14497, 267, 585, 513, 1599, 267, 952, 692, 5416, 264, 1109, 325, 28812, 6024, 593, 1496, 629, 6540, 6357, 264, 1109, 325, 28812, 1114, 4192, 593, 630, 629, 2020, 6262, 264, 1109, 5416, 264, 815, 1109, 325, 1109, 6357, 2020, 6533, 267, 972, 6818, 930, 1109, 322, 1109, 4501, 486, 630, 629, 264, 971, 602, 692, 11997, 267, 17029, 548, 779, 14497, 568, 711, 10858, 547, 1346, 3252, 602, 798, 711, 14183, 1022, 540, 519, 1614, 2175, 540, 519, 8367, 780, 9217, 2020, 2005, 568, 10423, 602, 519, 2016, 1599, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 693, 1169, 7533, 1448, 780, 1103, 1880, 267, 1109, 325, 3287, 264, 568, 711, 6024, 693, 1109, 284, 476, 276, 543, 1109, 284, 476, 280, 692, 22382, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 538, 1496, 276, 267, 476, 280, 316, 780, 763, 1114, 6636, 540, 1109, 325, 1109, 514, 630, 276, 267, 476, 280, 264, 568, 13761, 607, 5205, 780, 4131, 1109, 2041, 606, 8870, 971, 602, 1109, 333, 1109, 4501, 486, 630, 276, 267, 476, 280, 6393, 7712, 519, 2451, 543, 1318, 1688, 7182, 540, 1109, 325, 1109, 520, 1109, 343, 1109, 284, 1109, 333, 1109, 732, 711, 3160, 267, 1109, 325, 28812, 711, 1114, 4192, 693, 1109, 343, 1109, 284, 1109, 333, 692, 529, 711, 1114, 4192, 538, 630, 276, 267, 476, 280, 6393, 2005, 568, 4767, 602, 1109, 325, 1109, 323, 3996, 711, 14183, 782, 519, 2175, 540, 519, 8367, 540, 17029, 548, 779, 14497, 780, 17798, 267, 17029, 548, 779, 14497, 568, 711, 10858, 585, 780, 23870, 2020, 2005, 568, 10423, 602, 519, 2016, 1599, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 693, 1169, 7533, 1448, 780, 1103, 1880, 267, 1109, 325, 3287, 264, 568, 711, 6024, 693, 1109, 284, 6567, 273, 543, 1109, 284, 476, 273, 692, 22382, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 538, 1496, 6629, 273, 267, 476, 273, 316, 780, 763, 1114, 6636, 540, 1109, 325, 1109, 514, 630, 6629, 273, 267, 476, 273, 264, 568, 13761, 607, 5205, 780, 4131, 1109, 2041, 606, 8870, 971, 602, 1109, 333, 1109, 4501, 486, 630, 6629, 273, 267, 476, 273, 6393, 7712, 519, 2451, 543, 1318, 1688, 7182, 540, 1109, 325, 1109, 520, 1109, 343, 1109, 284, 1109, 333, 1109, 732, 711, 3160, 267, 1109, 325, 28812, 711, 1114, 4192, 693, 1109, 343, 1109, 284, 1109, 333, 692, 529, 711, 1114, 4192, 538, 630, 6629, 273, 267, 476, 273, 6393, 2005, 568, 4767, 602, 1109, 325, 1109, 323, 3996, 711, 14183, 782, 519, 2175, 540, 519, 8367, 540, 17029, 548, 779, 14497, 780, 17798, 267, 17029, 548, 779, 14497, 568, 711, 10858, 585, 780, 31702, 2020, 2005, 568, 10423, 602, 1109, 325, 267, 1373, 513, 9971, 1599, 267, 568, 6024, 538, 1496, 272, 267, 476, 273, 316, 543, 568, 1114, 4192, 538, 630, 272, 267, 476, 273, 6393, 263, 272, 264, 9881, 510, 1109, 325, 1109, 263, 273, 2020, 2005, 568, 4767, 602, 1109, 325, 1109, 323, 3996, 711, 14183, 513, 2783, 540, 519, 8367, 540, 17029, 548, 779, 14497, 780, 17798, 267, 17029, 548, 779, 14497, 568, 711, 10858, 585, 780, 2971, 7726, 476, 274, 1384, 2252, 28812, 513, 1114, 4192, 1599, 543, 952, 1109, 323, 3996, 711, 642, 4314, 9170, 267, 1287, 6961, 602, 780, 2005, 568, 2016, 602, 28812, 513, 1114, 4192, 1599, 780, 7712, 1169, 1114, 4192, 1599, 568, 513, 6024, 1599, 267, 649, 3489, 692, 5416, 264, 1109, 325, 28812, 6024, 593, 1496, 6629, 276, 267, 476, 276, 316, 780, 6357, 264, 28812, 1114, 4192, 593, 630, 6629, 276, 267, 476, 276, 6393, 11997, 267, 676, 519, 6399, 10025, 14497, 267, 972, 6818, 1109, 322, 1109, 4501, 486, 630, 6629, 276, 267, 476, 276, 264, 971, 602, 692, 2005, 568, 849, 2016, 602, 1109, 323, 3996, 711, 642, 4314, 9170, 780, 17798, 267, 9863, 780, 2971, 7726, 476, 275, 1384, 19723, 1518, 6399, 10025, 14497, 267, 952, 1109, 1109, 514, 519, 8884, 267, 1141, 30548, 780, 763, 2016, 1599, 568, 692, 325, 267, 1373, 513, 9971, 1599, 267, 568, 6024, 538, 1496, 272, 267, 476, 275, 316, 543, 568, 1114, 4192, 538, 630, 272, 267, 476, 275, 264, 4171, 12045, 568, 476, 273, 343, 1109, 6629, 476, 275, 780, 13614, 10025, 14497, 2829, 602, 972, 568, 513, 1448, 1109, 322, 1109, 4501, 486, 630, 272, 267, 476, 275, 264, 971, 602, 692, 17798, 267, 6399, 10025, 14497, 568, 20240, 585, 519, 2016, 1599, 780, 2971, 7726, 476, 276, 1384, 19723, 1518, 6399, 10025, 14497, 267, 952, 1109, 514, 519, 8884, 1496, 629, 3910, 1141, 1109, 320, 1109, 284, 476, 272, 543, 1109, 321, 1109, 284, 476, 274, 269, 4855, 782, 1109, 1721, 799, 692, 763, 2016, 1599, 1109, 325, 28812, 692, 325, 267, 1373, 513, 9971, 1599, 267, 568, 6024, 538, 1496, 272, 267, 476, 274, 316, 543, 568, 1114, 4192, 538, 630, 272, 267, 476, 274, 264, 4171, 12045, 568, 476, 274, 343, 273, 1109, 6629, 476, 1015, 343, 1109, 6629, 476, 274, 780, 13614, 10025, 14497, 2829, 602, 972, 2291, 513, 1448, 1109, 322, 1109, 4501, 486, 630, 272, 267, 476, 274, 264, 971, 602, 692, 17798, 267, 6399, 10025, 14497, 568, 20240, 585, 519, 2016, 1599, 543, 1109, 28812, 519, 1152, 1448, 585, 799, 692, 2971, 7726, 476, 277, 1384, 2750, 8533, 519, 31675, 540, 6399, 10025, 14497, 585, 782, 1614, 3252, 2016, 538, 519, 1657, 3635, 476, 273, 780, 13614, 10025, 14497, 2829, 602, 585, 513, 1599, 267, 952, 692, 5416, 264, 1109, 325, 28812, 6024, 593, 1496, 629, 6540, 6357, 264, 1109, 325, 28812, 1114, 4192, 593, 630, 629, 2020, 6533, 267, 972, 6818, 930, 1109, 322, 1109, 4501, 486, 630, 629, 264, 971, 602, 692, 11997, 267, 6399, 10025, 14497, 568, 711, 10858, 547, 1346, 3252, 602, 798, 711, 14183, 1022, 540, 519, 1079, 2175, 540, 519, 8367, 780, 9217, 2020, 2005, 568, 10423, 602, 519, 2016, 1599, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 693, 1169, 7533, 1448, 780, 1103, 1880, 267, 1109, 325, 3287, 264, 568, 711, 6024, 693, 1109, 284, 476, 276, 543, 1109, 284, 476, 280, 692, 22382, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 538, 1496, 276, 267, 476, 280, 316, 780, 763, 1114, 6636, 540, 1109, 325, 1109, 514, 630, 276, 267, 476, 280, 264, 568, 13761, 607, 5205, 780, 4131, 1109, 2041, 606, 8870, 971, 602, 1109, 333, 1109, 4501, 486, 630, 276, 267, 476, 280, 6393, 7712, 519, 2451, 543, 1318, 1688, 7182, 540, 1109, 325, 1109, 520, 1109, 343, 1109, 284, 1109, 333, 1109, 732, 711, 3160, 267, 1109, 325, 28812, 711, 1114, 4192, 693, 1109, 343, 1109, 284, 1109, 333, 692, 529, 711, 1114, 4192, 538, 630, 276, 267, 476, 280, 6393, 2005, 568, 4767, 602, 1109, 325, 1109, 323, 3996, 711, 14183, 782, 519, 2175, 540, 519, 8367, 540, 6399, 10025, 14497, 780, 17798, 267, 6399, 10025, 14497, 568, 711, 10858, 585, 1109, 780, 23870, 2020, 2005, 568, 10423, 602, 519, 2016, 1599, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 693, 1169, 7533, 1448, 780, 1103, 1880, 267, 1109, 325, 3287, 264, 568, 711, 6024, 693, 1109, 284, 6567, 273, 543, 1109, 284, 476, 273, 692, 22382, 1109, 325, 1109, 3287, 264, 568, 711, 6024, 538, 1496, 6629, 273, 267, 476, 273, 316, 780, 763, 1114, 6636, 540, 1109, 325, 1109, 514, 630, 6629, 273, 267, 476, 273, 264, 568, 13761, 607, 5205, 780, 4131, 1109, 2041, 606, 8870, 971, 602, 1109, 333, 1109, 4501, 486, 630, 6629, 273, 267, 476, 273, 6393, 7712, 519, 2451, 543, 1318, 1688, 7182, 540, 1109, 325, 1109, 520, 1109, 343, 1109, 284, 1109, 333, 1109, 732, 711, 3160, 267, 1109, 325, 28812, 711, 1114, 4192, 693, 1109, 343, 1109, 284, 1109, 333, 692, 529, 711, 1114, 4192, 538, 630, 6629, 273, 267, 476, 273, 6393, 2005, 568, 4767, 602, 1109, 325, 1109, 323, 3996, 711, 14183, 782, 519, 2175, 540, 519, 8367, 540, 6399, 10025, 14497, 780, 17798, 267, 6399, 10025, 14497, 568, 711, 10858, 585, 1109, 780, 31702, 2020, 2005, 568, 10423, 602, 1109, 325, 267, 1373, 513, 9971, 1599, 267, 568, 6024, 538, 1496, 272, 267, 476, 273, 316, 543, 568, 1114, 4192, 538, 630, 272, 267, 476, 273, 6393, 2005, 568, 4767, 602, 1109, 325, 1109, 338, 15384, 325, 625, 782, 519, 2175, 540, 519, 8367, 540, 6399, 10025, 14497, 780, 17798, 267, 6399, 10025, 14497, 568, 10858, 585, 780, 2005, 666, 581, 9863, 607, 5205, 780, 19587, 281, 12474, 568, 6870, 8206, 256, 0, 258, 16387, 1107, 6103, 476, 1015, 23048, 692, 2467, 616, 7008, 540, 3584, 4988, 538, 713, 3296, 1384, 272, 269, 19449, 3380, 454, 273, 269, 10222, 9201, 692, 12812, 593, 1142, 1888, 547, 917, 811, 3877, 780, 290, 597, 3380, 454, 7659, 3584, 1331, 1384, 1892, 9978, 26479, 454, 1892, 17781, 454, 1892, 932, 867, 454, 1892, 5556, 745, 550, 932, 3581, 454, 1892, 21540, 618, 454, 1892, 11683, 267, 19724, 1299, 12054, 328, 17781, 21540, 618, 454, 1892, 1488, 14369, 454, 1892, 11683, 543, 19724, 1488, 14369, 454, 1892, 30359, 454, 1892, 11683, 1299, 19724, 590, 26662, 454, 1892, 27116, 656, 454, 1892, 19358, 550, 454, 1892, 8672, 540, 13555, 454, 1892, 7089, 540, 19358, 757, 547, 513, 17781, 454, 1892, 11933, 916, 593, 19358, 757, 692, 31590, 9201, 454, 7659, 3584, 1331, 1384, 1892, 4985, 454, 1892, 5556, 745, 550, 22955, 454, 1892, 5381, 7612, 454, 1892, 5381, 12443, 12455, 454, 1892, 774, 2297, 779, 14497, 454, 1892, 774, 2297, 14497, 630, 31628, 332, 476, 272, 994, 1892, 1230, 2091, 540, 774, 1446, 779, 14497, 630, 31628, 332, 476, 273, 994, 1892, 11068, 8672, 14497, 454, 1892, 11068, 8672, 14497, 630, 31628, 332, 476, 274, 994, 1892, 24234, 645, 529, 10725, 14497, 454, 1892, 24234, 645, 529, 10725, 14497, 630, 31628, 332, 476, 275, 994, 1892, 7600, 4997, 585, 5381, 640, 540, 5565, 10222, 9201, 454, 1892, 589, 8150, 5381, 640, 630, 31628, 332, 476, 272, 994, 1892, 590, 7704, 5381, 640, 630, 31628, 332, 476, 273, 994, 1892, 590, 3008, 5381, 640, 630, 31628, 332, 476, 274, 994, 1892, 16816, 3363, 10406, 540, 513, 9406, 4911, 1194, 21121, 630, 31628, 332, 476, 275, 994, 1892, 16816, 3363, 16296, 630, 31628, 332, 476, 276, 994, 1892, 2405, 1014, 16296, 630, 31628, 332, 476, 277, 994, 1892, 14497, 476, 278, 2433, 24234, 645, 529, 10725, 16296, 454, 1892, 22472, 540, 519, 19791, 540, 5565, 5381, 10222, 9201, 454, 1892, 590, 1938, 16296, 630, 31628, 332, 476, 272, 994, 1892, 19456, 23768, 14497, 454, 1892, 19456, 23768, 14497, 630, 31628, 332, 476, 272, 994, 1892, 1230, 2091, 540, 19456, 23768, 14497, 630, 31628, 332, 476, 273, 994, 1892, 5741, 542, 14497, 454, 1892, 7442, 3326, 517, 7572, 14497, 692, 2162, 26344, 5852, 1107, 6103, 476, 1015, 23048, 692, 2467, 616, 1906, 3584, 4988, 538, 713, 3296, 281, 476, 272, 269, 26344, 5852, 1107, 4985, 476, 273, 1862, 780, 2162, 25226, 1107, 6103, 476, 1015, 23048, 692, 2026, 829, 23048, 21038, 267, 519, 1152, 3184, 896, 713, 1888, 568, 7089, 3590, 269, 6206, 3584, 13718, 2162, 10789, 1107, 6103, 476, 1015, 23048, 692, 2467 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1671, 5224, 5208, 269, 15788, 267, 519, 4832, 540, 476, 3422, 280, 729, 513, 942, 540, 1514, 543, 2686, 1689, 538, 3013, 267, 607, 1762, 1004, 10692, 547, 2769, 2933, 543, 28586, 519, 3527, 540, 519, 2229, 267, 2523, 519, 2810, 1377, 540, 4108, 9525, 538, 10476, 630, 289, 1638, 267, 476, 1220, 272, 1040, 29760, 14311, 593, 519, 4975, 540, 1715, 3840, 543, 922, 14447, 543, 24139, 5095, 267, 891, 2043, 941, 2523, 1253, 571, 9853, 538, 3735, 4873, 267, 476, 3422, 280, 1813, 547, 519, 2669, 540, 28910, 267, 543, 28305, 12835, 7225, 344, 12275, 1633, 267, 4171, 24133, 729, 1373, 4371, 538, 1715, 3840, 693, 519, 942, 540, 519, 12942, 13665, 681, 3999, 630, 300, 2117, 639, 267, 476, 1220, 273, 1040, 769, 24794, 1051, 267, 621, 5526, 602, 519, 1164, 4664, 1851, 519, 28305, 2146, 540, 1715, 3840, 5828, 10728, 950, 7128, 986, 3660, 519, 12942, 13665, 26735, 593, 602, 3905, 4832, 3781, 563, 1805, 821, 13665, 681, 3999, 607, 513, 8092, 5658, 538, 519, 6406, 7126, 26647, 24327, 454, 2467, 616, 1896, 1883, 4128, 1946, 519, 12942, 13665, 681, 3999, 4166, 2968, 513, 19506, 538, 519, 6406, 7126, 6560, 269, 15788, 267, 519, 678, 3999, 11542, 607, 606, 16315, 540, 519, 1514, 2916, 540, 519, 942, 267, 950, 519, 2489, 4743, 538, 2486, 729, 602, 1346, 538, 6392, 2987, 713, 2013, 519, 1715, 3840, 4975, 17318, 267, 941, 2921, 1932, 1082, 23118, 609, 741, 1379, 543, 2877, 547, 581, 15286, 689, 705, 6748, 602, 1379, 269, 634, 678, 3999, 849, 2366, 513, 2178, 5048, 602, 519, 28305, 2146, 1131, 1100, 543, 21376, 2126, 538, 2486, 267, 543, 18796, 3160, 2924, 543, 6284, 269, 14936, 267, 519, 678, 3999, 814, 971, 4644, 1317, 621, 4564, 519, 6172, 1314, 540, 513, 6560, 799, 1185, 12777, 1044, 5553, 538, 519, 1818, 563, 2026, 729, 5018, 5892, 267, 519, 12942, 13665, 681, 3999, 267, 621, 666, 581, 11130, 267, 729, 849, 4547, 827, 1813, 547, 519, 2489, 1914, 19205, 1604, 540, 3735, 476, 3422, 271, 338, 3013, 269, 3509, 2516, 540, 1004, 945, 941, 593, 519, 540, 2486, 267, 28305, 338, 3769, 267, 941, 588, 1136, 3409, 547, 741, 4062, 540, 519, 1977, 5326, 543, 741, 4023, 2671, 540, 519, 2924, 602, 519, 547, 782, 4892, 1510, 9868, 563, 21982, 513, 1900, 18807, 865, 547, 3717, 267, 519, 4644, 540, 519, 12942, 13665, 681, 3999, 568, 28659, 950, 922, 2596, 23350, 568, 2322, 883, 3140, 2796, 267, 12077, 519, 1249, 602, 28305, 338, 8179, 3160, 10343, 543, 2924, 538, 2486, 543, 941, 8348, 547, 4339, 585, 621, 563, 30399, 267, 621, 666, 9425, 581, 1767, 538, 2489, 602, 32270, 814, 1044, 11566, 569, 15653, 676, 519, 5354, 540, 2486, 282, 713, 568, 711, 547, 2161, 602, 713, 18349, 568, 1318, 610, 1175, 267, 855, 519, 18349, 814, 11478, 20866, 269, 3683, 519, 5553, 267, 519, 5048, 540, 1857, 18349, 540, 32270, 814, 24132, 689, 7979, 1177, 532, 540, 28305, 6411, 267, 547, 5208, 543, 2669, 6937, 1996, 28305, 338, 2933, 267, 16550, 1082, 945, 1185, 9758, 267, 15962, 3347, 547, 1832, 1346, 3347, 513, 2073, 561, 652, 789, 3068, 519, 32716, 540, 2486, 543, 519, 3656, 1062, 630, 305, 6269, 267, 476, 1220, 273, 1916, 763, 27524, 30315, 1063, 519, 10343, 540, 28305, 338, 676, 2486, 543, 519, 26556, 540, 3656, 2924, 585, 28305, 338, 568, 513, 9490, 20451, 602, 711, 1152, 729, 835, 540, 519, 24598, 25751, 540, 519, 12942, 13665, 681, 3999, 267, 855, 849, 814, 3361, 1454, 540, 519, 24187, 585, 713, 1880, 3540, 2924, 6560, 2429, 1686, 269, 1280, 1383, 267, 538, 7810, 3013, 267, 972, 941, 28305, 2367, 945, 267, 676, 782, 23079, 267, 941, 7608, 538, 519, 1514, 5958, 540, 519, 942, 267, 855, 5185, 3656, 3527, 1813, 547, 4031, 602, 941, 26558, 1176, 5293, 267, 7979, 1177, 532, 28305, 6411, 267, 1256, 1063, 9844, 532, 4079, 630, 289, 1638, 267, 476, 1220, 272, 1040, 901, 1826, 540, 3510, 2798, 856, 1945, 602, 3587, 7805, 950, 4974, 891, 2621, 538, 24794, 1051, 268, 1247, 519, 2489, 2551, 10645, 547, 581, 16561, 540, 32270, 267, 972, 941, 1346, 945, 4371, 513, 1390, 4308, 540, 5837, 30891, 585, 519, 6197, 267, 543, 1031, 519, 7271, 540, 519, 3656, 1062, 547, 1397, 741, 771, 323, 664, 267, 1454, 899, 3542, 4031, 267, 7924, 4255, 543, 519, 899, 941, 1031, 538, 11685, 547, 3979, 31787, 538, 519, 1296, 1354, 519, 6406, 2782, 563, 2750, 8526, 547, 519, 14329, 454, 10932, 849, 8761, 602, 972, 941, 930, 17756, 547, 519, 1514, 543, 3656, 17181, 540, 28305, 338, 689, 519, 13416, 540, 2038, 3013, 282, 891, 1808, 1806, 666, 581, 2938, 538, 513, 1353, 540, 519, 2749, 540, 11785, 538, 519, 2038, 2395, 540, 519, 1977, 10125, 269, 11635, 1227, 2614, 267, 11785, 267, 799, 538, 3294, 1131, 5555, 2097, 547, 1796, 607, 606, 12835, 538, 519, 4339, 585, 15698, 543, 5126, 267, 12595, 28305, 338, 711, 679, 11792, 572, 267, 855, 2864, 20888, 17709, 1004, 883, 2486, 1510, 32198, 873, 1759, 593, 4638, 10066, 267, 799, 568, 519, 1268, 2305, 540, 519, 2924, 602, 1131, 581, 10692, 585, 5553, 2663, 693, 606, 7961, 538, 1715, 3840, 593, 513, 4832, 3781, 538, 476, 3422, 280, 630, 29445, 1299, 519, 3778, 5741, 267, 476, 1960, 280, 1916, 2026, 713, 1957, 814, 3254, 267, 519, 12942, 13665, 681, 3999, 568, 1713, 538, 519, 3045, 1023, 540, 1686, 585, 1082, 4128, 281, 538, 519, 21055, 7664, 540, 519, 2680, 267, 649, 1294, 519, 4339, 585, 28305, 338, 547, 581, 7608, 607, 1514, 543, 3656, 11224, 538, 513, 2486, 602, 6811, 547, 9784, 3025, 855, 782, 1932, 1419, 608, 11079, 1082, 585, 519, 1793, 9404, 652, 540, 4128, 269, 769, 513, 3677, 2631, 267, 519, 12942, 13665, 681, 3999, 568, 12572, 540, 519, 1977, 6891, 267, 799, 32141, 602, 26418, 618, 540, 2924, 786, 711, 581, 7109, 730, 676, 1022, 31345, 1895, 269, 7053, 267, 519, 12942, 13665, 681, 3999, 13739, 338, 513, 5048, 540, 4126, 585, 782, 1346, 945, 3343, 3540, 2924, 602, 519, 26568, 2470, 540, 519, 3964, 6392, 568, 267, 543, 2760, 1058, 581, 267, 4761, 689, 1065, 3234, 663, 689, 519, 1004, 689, 7247, 741, 1379, 568, 6508, 563, 289, 1638, 267, 18281, 630, 1220, 272, 1040, 22067, 4934, 674, 18017, 269, 1715, 3840, 281, 774, 8974, 779, 631, 1926, 21610, 566, 7734, 563, 29445, 267, 4446, 2284, 267, 1299, 519, 3778, 5741, 630, 1960, 280, 1040, 8555, 704, 11785, 2103, 269, 1715, 3840, 281, 22489, 19811, 563, 300, 2117, 639, 267, 18238, 630, 1220, 273, 1040, 10435, 22985, 3778, 269, 1715, 3840, 281, 22489, 19811, 563, 305, 6269, 267, 2274, 10042, 808, 269, 630, 1220, 273, 1040, 2677, 1600, 12815, 269, 1715, 3840, 281, 670, 32080, 631, 858, 4802, 4964, 563, 12749, 7779, 4574, 16798, 454, 1911, 260, 3312, 4574, 454, 2171, 6133, 1152, 2189, 4773, 540, 1603, 6192, 2687, 547, 707, 7569, 563, 2171, 946, 3354, 14238, 547, 1832, 707, 2123, 1239, 6870, 563, 2171, 666, 2285, 707, 2724, 1394, 952, 1945, 4422, 4636, 609, 707, 1931, 563, 5319, 2809, 519, 1863, 2934, 649, 2709, 547, 3025, 454, 7476, 513, 1863, 2140, 2985, 30149, 2687, 547, 519, 25727, 540, 707, 1880, 2511, 563, 26473, 652, 721, 547, 946, 14905, 267, 17090, 267, 12370, 267, 9628, 267, 610, 1022, 824, 2511, 585, 707, 1557, 563, 10673, 1406, 2628, 3063, 585, 513, 1592, 540, 8100, 602, 9985, 13352, 707, 4081, 2115, 563, 2190, 270, 278, 1489, 6351, 454, 16485, 721, 513, 2243, 20471, 596, 991, 547, 1765, 933, 1810, 1406, 5279, 3063, 585, 5885, 596, 2336, 24280, 875, 1454, 707, 1557, 3790, 454, 1432, 649, 616, 2442, 585, 454, 268, 2296, 476, 6200, 454, 268, 6355, 5525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1200, 1382, 267, 3023, 5107, 543, 575, 25311, 5107, 616, 12250, 1242, 607, 513, 851, 540, 513, 2528, 543, 2992, 1271, 3344, 540, 519, 2528, 3294, 563, 290, 11857, 795, 2459, 532, 543, 2486, 2528, 795, 2459, 532, 814, 1044, 1472, 585, 32210, 1296, 621, 568, 3989, 607, 267, 519, 957, 540, 13321, 4540, 2527, 2923, 547, 3132, 2942, 16555, 827, 3294, 269, 3399, 4974, 1124, 476, 6200, 22679, 714, 1438, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 7421, 543, 9691, 6236, 938, 1378, 1909, 538, 267, 543, 1198, 593, 267, 938, 1382, 2528, 795, 2459, 532, 519, 957, 540, 7432, 2923, 1996, 2933, 563, 11328, 716, 543, 14051, 568, 1818, 513, 7096, 1198, 593, 3486, 1894, 1620, 2528, 267, 14051, 267, 543, 519, 2528, 538, 3486, 1894, 1357, 476, 866, 949, 476, 1001, 271, 2528, 3146, 331, 725, 1260, 11305, 8590, 1952, 10187, 566, 6255, 6447, 269, 10576, 519, 6198, 543, 14524, 531, 2360, 540, 10721, 2528, 593, 1004, 543, 519, 3919, 2491, 519, 2188, 8159, 606, 3919, 781, 2528, 1592, 519, 621, 814, 513, 10465, 12413, 1456, 1909, 269, 476, 272, 4881, 2212, 281, 4287, 538, 4008, 5107, 543, 519, 2360, 4287, 538, 4008, 5107, 543, 519, 1198, 593, 2686, 1646, 562, 747, 15614, 544, 3109, 7005, 476, 6200, 267, 1225, 787, 2415, 657, 344, 6280, 630, 517, 1899, 264, 476, 273, 4881, 2212, 281, 4287, 538, 4008, 5107, 543, 519, 2360, 7493, 713, 1957, 9607, 2686, 2242, 607, 513, 269, 22339, 1047, 906, 281, 2942, 2360, 540, 5907, 2923, 593, 2486, 543, 2528, 621, 568, 1419, 2938, 602, 1762, 6690, 543, 8695, 708, 10028, 741, 1909, 3631, 9420, 569, 269, 3353, 1227, 267, 2528, 568, 2141, 538, 519, 3377, 267, 543, 711, 1175, 538, 519, 6575, 543, 9913, 3296, 540, 938, 14786, 547, 5963, 1174, 2528, 781, 1909, 538, 5935, 721, 267, 649, 1590, 1174, 602, 2528, 568, 711, 1175, 519, 16931, 23789, 540, 2093, 543, 9821, 649, 782, 2661, 609, 269, 1548, 616, 519, 476, 1321, 1898, 5107, 540, 2528, 538, 2486, 2528, 2488, 2757, 12496, 547, 1978, 3510, 998, 2528, 2367, 4991, 2757, 7664, 585, 1082, 3871, 2687, 547, 799, 646, 11887, 1010, 2623, 269, 4750, 540, 7082, 2528, 476, 1220, 277, 476, 277, 476, 14138, 642, 1550, 1286, 706, 764, 328, 2528, 795, 2459, 532, 281, 513, 25349, 5133, 519, 11407, 593, 519, 5837, 2360, 540, 519, 6575, 543, 9443, 267, 849, 1634, 607, 519, 563, 1692, 1058, 2101, 12478, 581, 16042, 519, 3390, 540, 2528, 795, 2459, 532, 538, 1198, 267, 2518, 12478, 899, 476, 273, 521, 1597, 3574, 2515, 281, 1412, 22336, 24983, 568, 513, 6263, 4838, 910, 2528, 795, 2459, 532, 543, 519, 1909, 540, 1208, 712, 3299, 6280, 540, 993, 23165, 267, 2923, 2090, 267, 476, 1220, 272, 269, 476, 10695, 8292, 593, 2686, 543, 1514, 2188, 602, 1860, 1646, 1775, 4312, 2907, 5018, 519, 1909, 540, 2021, 267, 855, 2528, 666, 723, 6456, 2360, 538, 1870, 538, 2110, 267, 2528, 1100, 8969, 4249, 513, 1909, 538, 1646, 269, 10020, 540, 10820, 538, 3375, 1818, 543, 6725, 2994, 513, 2686, 1198, 540, 930, 2477, 4145, 519, 1612, 5255, 658, 5133, 602, 2472, 1500, 538, 2686, 2360, 593, 7082, 2623, 267, 476, 280, 476, 280, 269, 9177, 568, 513, 14984, 3196, 538, 5935, 1367, 543, 1895, 2623, 267, 2943, 621, 814, 4607, 1085, 656, 3007, 538, 519, 2796, 540, 2883, 1981, 2359, 543, 519, 476, 1220, 278, 268, 6021, 2883, 6433, 269, 0, 14240, 21130, 1702, 3381, 6580, 10004, 11623, 454, 32701, 267, 519, 16999, 2601, 538, 3870, 540, 1210, 28106, 4441, 5012, 547, 519, 16999, 2601, 1996, 281, 5561, 949, 581, 771, 514, 743, 1441, 547, 4444, 835, 1587, 602, 7182, 741, 3903, 540, 1866, 7868, 8668, 1158, 568, 5051, 3001, 4724, 1930, 32301, 20193, 849, 6257, 1978, 7989, 24777, 9993, 602, 2463, 610, 2149, 891, 1898, 22624, 7868, 4214, 30193, 1063, 1863, 1568, 267, 543, 1863, 27121, 799, 666, 581, 1031, 547, 16155, 2149, 519, 4567, 540, 513, 1863, 960, 2529, 24594, 2238, 2348, 547, 798, 609, 8668, 1062, 5610, 1331, 1788, 4058, 267, 1788, 2359, 267, 1374, 543, 6388, 540, 3498, 5752, 17103, 267, 5680, 2533, 543, 1022, 1184, 602, 6589, 585, 519, 1863, 2095, 540, 1239, 610, 1344, 6765, 563, 6624, 2950, 723, 4646, 547, 3635, 1346, 1007, 7399, 543, 1711, 513, 5763, 540, 15217, 556, 268, 20608, 1568, 563, 9596, 875, 547, 7753, 519, 17149, 7834, 543, 5610, 2591, 596, 786, 7237, 563, 18204, 1674, 568, 9875, 547, 3035, 519, 3152, 519, 1297, 540, 1949, 602, 616, 3238, 543, 3549, 1419, 3442, 547, 723, 5007, 25255, 4383, 930, 610, 782, 11775, 540, 519, 1646, 540, 519, 1007, 1062, 563, 18204, 1674, 568, 519, 957, 540, 8744, 1927, 4130, 3334, 883, 513, 2582, 1062, 602, 3252, 607, 835, 563, 1103, 606, 8668, 2796, 267, 5610, 4016, 547, 519, 1439, 1267, 540, 513, 1184, 602, 6663, 547, 19173, 1927, 1114, 267, 1419, 19635, 267, 1016, 17882, 338, 865, 602, 519, 1239, 8659, 538, 1142, 3587, 851, 540, 513, 3677, 267, 811, 3102, 1062, 602, 267, 23679, 267, 3533, 543, 3362, 8843, 1239, 950, 2877, 269, 276, 264, 2201, 519, 2622, 22453, 5680, 267, 513, 8756, 568, 513, 840, 572, 21124, 5680, 3135, 602, 666, 8850, 6494, 8242, 1344, 585, 7525, 4159, 610, 13156, 593, 7662, 269, 476, 277, 264, 769, 2780, 543, 5769, 6725, 267, 513, 8756, 568, 513, 834, 332, 1497, 2006, 257, 1063, 513, 1587, 17082, 543, 519, 19458, 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 ]
[ 25310, 8220, 721, 2066, 5318, 9883, 780, 2026, 596, 666, 1294, 267, 570, 13696, 338, 1404, 513, 4105, 1909, 538, 5935, 938, 3540, 4702, 5251, 269, 1358, 5512, 721, 547, 20630, 4101, 1768, 23230, 267, 4228, 6283, 5121, 267, 543, 10244, 2067, 2200, 6456, 2620, 1369, 519, 3618, 269, 9453, 891, 23766, 267, 2679, 1950, 3889, 899, 1016, 1811, 267, 16456, 338, 267, 610, 1216, 2126, 2371, 1131, 1491, 3648, 3476, 543, 6961, 2484, 811, 2352, 780, 1103, 3932, 267, 1985, 942, 596, 1265, 3054, 10707, 998, 513, 15993, 267, 3314, 519, 2182, 11529, 570, 13696, 338, 3743, 585, 26002, 856, 1346, 8574, 1811, 269, 2060, 5571, 7760, 538, 2029, 267, 972, 781, 1100, 10213, 1018, 2104, 2591, 891, 9058, 6191, 786, 7753, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9391, 273, 779, 1101, 1079, 20658, 6773, 645, 1681, 26682, 4712, 547, 581, 25855, 547, 519, 5177, 454, 301, 3139, 23509, 543, 595, 1815, 23158, 267, 519, 1079, 20658, 6773, 645, 1681, 26682, 723, 1044, 6192, 538, 5125, 543, 616, 1631, 4712, 547, 581, 25855, 547, 519, 5177, 547, 2253, 519, 476, 1015, 28902, 17489, 932, 559, 1181, 15993, 26995, 563, 307, 684, 6773, 645, 1681, 10724, 1412, 14503, 648, 1338, 262, 693, 519, 4173, 1066, 330, 1536, 12051, 269, 15894, 281, 4173, 1066, 330, 1536, 17985, 454, 9391, 273, 13456, 814, 7000, 2592, 540, 519, 1101, 1079, 6192, 9649, 20658, 6773, 645, 1681, 26682, 630, 307, 13696, 338, 264, 602, 786, 14155, 622, 519, 18618, 1532, 648, 932, 559, 1181, 15993, 593, 519, 1101, 5123, 540, 519, 5177, 779, 1007, 1970, 3327, 267, 1164, 18286, 16749, 1063, 5507, 543, 519, 4639, 11068, 4133, 563, 8072, 14503, 648, 1338, 685, 543, 2048, 290, 1815, 23158, 8730, 519, 4408, 585, 519, 570, 13696, 338, 6074, 676, 1857, 8917, 267, 786, 581, 13234, 676, 15101, 273, 779, 1292, 1568, 28079, 267, 1325, 793, 808, 309, 1107, 513, 4745, 14679, 4646, 540, 1614, 3486, 5989, 3549, 281, 25376, 17789, 1132, 3004, 341, 14513, 6583, 331, 923, 267, 11184, 7917, 5062, 2704, 18090, 267, 543, 5292, 12027, 293, 6308, 6312, 4459, 269, 634, 1101, 3684, 568, 3957, 1310, 23509, 13957, 532, 1446, 267, 519, 13653, 540, 2413, 8808, 945, 6170, 1082, 1296, 2713, 538, 22110, 18484, 267, 21207, 532, 5069, 28790, 269, 570, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 684, 6773, 645, 1681, 26682, 630, 307, 13696, 338, 17983, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 6406, 1315, 14606, 1299, 9412, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 2469, 547, 3643, 707, 3659, 538, 1715, 3840, 1985, 3923, 269, 2334, 781, 865, 3078, 256, 5620, 596, 2479, 1044, 972, 1354, 2496, 7692, 281, 3143, 267, 621, 786, 581, 1250, 1101, 942, 269, 594, 6415, 2731, 3168, 4464, 547, 7680, 519, 2749, 781, 4763, 543, 1565, 827, 1114, 4529, 780, 8334, 281, 2334, 781, 15813, 267, 7585, 256, 1411, 917, 267, 3013, 568, 1634, 585, 922, 18371, 1143, 269, 898, 781, 899, 513, 2462, 13621, 1494, 1141, 1082, 4529, 2097, 1927, 780, 7692, 281, 23010, 267, 594, 4312, 4121, 602, 538, 1153, 269, 1809, 1018, 1281, 602, 1611, 585, 803, 950, 594, 6415, 2965, 972, 286, 1215, 798, 594, 2170, 609, 1004, 689, 1114, 10080, 2496, 8334, 281, 4270, 267, 519, 1883, 568, 547, 723, 606, 1930, 2247, 543, 581, 16614, 269, 1280, 3236, 267, 952, 596, 2743, 2576, 945, 5205, 513, 4984, 1114, 689, 16523, 267, 2307, 873, 1135, 7019, 827, 741, 4978, 3079, 540, 32198, 873, 780, 7692, 281, 20944, 621, 256, 1656, 1018, 827, 1893, 7496, 286, 594, 1522, 711, 1174, 3388, 789, 2161, 1317, 540, 31126, 610, 27325, 780, 8334, 281, 5213, 1405, 5855, 1932, 1454, 827, 621, 269, 3807, 1577, 873, 917, 602, 596, 2811, 3843, 547, 1451, 543, 1174, 269, 4658, 5660, 621, 950, 596, 1118, 606, 4674, 547, 5968, 609, 873, 538, 741, 1893, 269, 4746, 267, 1210, 1560, 1893, 543, 1373, 3461, 666, 948, 513, 2603, 2439, 7692, 281, 2334, 4992, 798, 762, 269, 1635, 519, 1259, 267, 594, 4312, 8068, 602, 930, 1913, 616, 1031, 8335, 1934, 982, 538, 824, 2296, 18702, 2477, 269, 4024, 602, 581, 513, 1966, 2496, 8334, 281, 6884, 267, 9811, 269, 1280, 1383, 267, 13558, 568, 1572, 11176, 538, 1082, 2694, 540, 519, 1158, 267, 543, 519, 7328, 649, 1289, 11176, 568, 5219, 547, 607, 1977, 11176, 11992, 269, 1924, 1175, 581, 3222, 602, 3604, 2291, 267, 543, 1810, 1405, 1205, 11821, 952, 2576, 7125, 1945, 676, 513, 1114, 2012, 780, 7692, 281, 594, 1294, 269, 901, 19595, 803, 540, 938, 1686, 4245, 267, 1141, 649, 14437, 827, 875, 17417, 4547, 741, 1378, 9821, 543, 5389, 950, 789, 6294, 3603, 547, 3013, 269, 3683, 942, 267, 1346, 7506, 20762, 1927, 547, 1711, 513, 2189, 1977, 2528, 267, 1318, 2496, 8334, 281, 22549, 256, 1656, 1256, 1631, 267, 1007, 11082, 3136, 547, 3337, 1977, 2486, 269, 2334, 781, 1946, 621, 781, 1271, 547, 581, 22537, 543, 6213, 547, 2686, 16082, 269, 5457, 267, 3025, 814, 1945, 3407, 547, 2709, 267, 1100, 2339, 1141, 789, 2097, 689, 780, 7692, 281, 8729, 585, 519, 5796, 267, 7705, 269, 594, 1745, 811, 5423, 1631, 547, 6330, 1715, 3840, 781, 18371, 5251, 780, 8334, 281, 1411, 2811, 10950, 267, 7585, 256, 4107, 11932, 267, 3314, 547, 2972, 3054, 543, 9784, 782, 519, 5863, 2833, 602, 2097, 707, 1259, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13528, 566, 2986, 23008, 626, 6874, 4920, 331, 1807, 779, 12333, 9177, 2755, 24356, 1977, 13780, 23008, 32241, 16930, 338, 454, 763, 1459, 1957, 9607, 513, 1297, 540, 2152, 540, 8059, 626, 20675, 331, 1807, 2866, 538, 7683, 4657, 18371, 1604, 269, 634, 4589, 3494, 602, 2866, 540, 2104, 12665, 1058, 1491, 883, 2272, 10409, 267, 1381, 9951, 673, 543, 25349, 23506, 540, 519, 3077, 25082, 2197, 269, 634, 2376, 15109, 8059, 665, 738, 9951, 673, 15116, 885, 540, 1977, 4182, 267, 799, 814, 12926, 5916, 3309, 3084, 4529, 267, 14797, 543, 4654, 269, 4475, 267, 713, 7613, 814, 1044, 5697, 607, 519, 1843, 540, 519, 1353, 267, 2094, 621, 4564, 519, 1034, 32330, 1383, 540, 606, 11769, 7133, 5250, 540, 8059, 626, 20675, 331, 1807, 779, 3318, 2841, 1878, 269, 634, 1977, 4182, 568, 513, 29505, 543, 18371, 2146, 267, 799, 1095, 6979, 267, 593, 519, 835, 1688, 267, 4527, 540, 2789, 1071, 25365, 4529, 267, 543, 17149, 968, 12712, 3101, 892, 540, 1367, 5198, 15116, 885, 543, 1808, 3084, 2418, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11372, 12734, 1143, 543, 3955, 322, 8590, 9534, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 3864, 1977, 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, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 834, 30706, 9289, 1018, 5949, 547, 782, 1346, 14299, 11825, 8119, 3627, 4280, 267, 1010, 4064, 6378, 593, 519, 11397, 4610, 602, 2899, 24428, 519, 14297, 4639, 1633, 4477, 545, 16239, 12051, 269, 3571, 649, 9312, 3946, 17680, 5529, 519, 23376, 8868, 267, 13031, 513, 10715, 540, 8261, 4074, 910, 5310, 1256, 930, 4276, 547, 519, 1360, 2872, 646, 1631, 21523, 1027, 827, 780, 306, 9231, 1985, 547, 1864, 267, 8861, 1350, 2331, 2427, 1811, 1354, 13059, 1200, 22401, 547, 519, 16880, 269, 2701, 6785, 713, 6643, 1131, 2097, 909, 5555, 282, 865, 1082, 540, 741, 5108, 7948, 1405, 1577, 979, 540, 519, 18710, 2395, 950, 14717, 990, 559, 1208, 4364, 609, 1272, 689, 519, 887, 541, 540, 8484, 9817, 269, 9741, 1705, 1352, 917, 602, 741, 4901, 1131, 1654, 518, 1055, 883, 606, 6397, 4287, 267, 796, 792, 2251, 18408, 1279, 12617, 9944, 6106, 540, 3356, 543, 1689, 780, 24679, 781, 2182, 547, 3494, 2437, 8861, 3459, 7444, 267, 7446, 1200, 1913, 5402, 267, 834, 7474, 649, 1031, 547, 5581, 6000, 676, 1945, 607, 19979, 607, 16470, 7836, 1701, 4173, 5639, 911, 6150, 2476, 607, 952, 4503, 538, 2219, 267, 855, 1287, 759, 584, 325, 3166, 6793, 982, 2479, 269, 834, 2171, 2877, 547, 11457, 267, 3082, 1862, 663, 1413, 1141, 649, 616, 1631, 15323, 11990, 27615, 660, 539, 1875, 1260, 18283, 958, 267, 7432, 5196, 513, 7522, 2197, 26738, 3056, 547, 741, 3312, 10278, 1107, 513, 1007, 8027, 1646, 29544, 14717, 990, 559, 781, 6521, 2509, 4070, 543, 10685, 6080, 269, 8616, 11214, 267, 3079, 540, 14120, 713, 7805, 1967, 267, 646, 1336, 5128, 31366, 519, 2530, 540, 3961, 13615, 547, 1346, 22800, 6191, 2921, 8184, 1996, 519, 667, 832, 564, 22839, 780, 2026, 789, 22755, 998, 519, 2413, 10040, 267, 9343, 540, 8075, 7555, 28426, 7833, 539, 899, 19622, 7980, 267, 8861, 10393, 11329, 2509, 513, 12440, 540, 4054, 16287, 519, 6316, 540, 519, 3135, 269, 26726, 10838, 873, 11542, 513, 16618, 882, 545, 1107, 513, 771, 4310, 13793, 541, 267, 1178, 29201, 2275, 2642, 543, 12816, 676, 942, 269, 898, 6743, 3592, 552, 24809, 9624, 519, 5854, 3599, 540, 519, 9241, 3710, 2146, 1472, 621, 780, 8450, 532, 621, 17275, 1945, 1369, 3627, 269, 1261, 15504, 936, 23589, 569, 267, 4929, 8861, 547, 3154, 335, 5594, 269, 6969, 1352, 1223, 2307, 1022, 2055, 267, 646, 729, 2907, 856, 540, 519, 1286, 267, 1193, 4575, 3483, 2685, 2509, 519, 2025, 2497, 269, 2060, 1142, 1900, 267, 646, 8604, 7820, 267, 811, 5462, 269, 1635, 519, 942, 646, 6603, 519, 15309, 539, 9885, 267, 972, 729, 1100, 8969, 2451, 538, 8861, 781, 2247, 602, 8726, 2482, 3564, 4371, 4644, 585, 1864, 780, 303, 5241, 1930, 519, 1212, 1136, 4496, 267, 3627, 7000, 513, 1507, 2306, 31183, 9754, 6131, 547, 8497, 519, 3965, 540, 519, 4639, 1633, 12051, 269, 681, 3298, 540, 2203, 21484, 641, 1562, 2893, 23217, 10268, 7258, 3109, 7146, 22554, 11147, 18995, 4600, 1266, 1484, 539, 538, 10198, 3515, 269, 3962, 6221, 5143, 513, 9661, 540, 27265, 267, 23274, 267, 543, 11348, 31960, 2620, 1369, 519, 2295, 540, 14717, 990, 559, 781, 4853, 6561, 780, 290, 4381, 1063, 7279, 543, 19911, 28101, 267, 8861, 8678, 3627, 3330, 267, 6297, 711, 547, 11145, 4376, 269, 1358, 6170, 3108, 3695, 1927, 267, 7234, 6272, 267, 4687, 2984, 5293, 1524, 998, 5481, 267, 14344, 1312, 29217, 543, 14286, 269, 3414, 891, 7391, 267, 789, 7691, 602, 1247, 2053, 1185, 8197, 4957, 267, 519, 6891, 540, 5647, 543, 6043, 7283, 3586, 1851, 14717, 990, 559, 2103, 780, 8867, 3058, 519, 13793, 541, 3297, 267, 789, 8120, 547, 741, 1286, 896, 519, 535, 8172, 10543, 1769, 267, 8876, 609, 873, 513, 4195, 5133, 593, 741, 4884, 781, 1686, 543, 2104, 269, 8786, 267, 519, 5251, 949, 2981, 267, 6080, 4473, 543, 2887, 267, 855, 519, 9759, 540, 513, 1747, 1419, 679, 706, 637, 5103, 5007, 10593, 269, 769, 8508, 713, 15364, 267, 8861, 543, 3627, 4362, 513, 4514, 7071, 585, 741, 554, 32528, 267, 1620, 602, 1169, 5736, 8309, 19918, 547, 14717, 990, 559, 781, 3638, 13795, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 616, 519, 3119, 6080, 7133, 14717, 990, 559, 781, 2551, 2208, 267, 543, 875, 723, 789, 4957, 936, 942, 888, 31800, 990, 559, 781, 3119, 6080, 723, 22734 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 1279, 5044, 589, 26514, 568, 2016, 547, 596, 563, 258, 1703, 568, 513, 23510, 6885, 540, 2450, 530, 799, 568, 3001, 689, 519, 1360, 2451, 540, 519, 5044, 547, 519, 1360, 1318, 563, 258, 1411, 666, 1152, 1294, 519, 530, 2338, 538, 519, 6885, 269, 3962, 942, 519, 23510, 6885, 7575, 1318, 2072, 676, 835, 2990, 563, 16482, 258, 552, 3052, 912, 258, 634, 5044, 568, 1496, 272, 476, 274, 910, 272, 910, 274, 476, 276, 476, 274, 476, 277, 476, 278, 3910, 543, 530, 568, 476, 274, 563, 258, 32001, 2990, 825, 7665, 454, 258, 1496, 272, 476, 274, 910, 272, 316, 910, 274, 476, 276, 476, 274, 476, 277, 476, 278, 825, 476, 274, 454, 258, 476, 272, 1496, 274, 910, 272, 910, 274, 316, 476, 276, 476, 274, 476, 277, 476, 278, 825, 476, 274, 454, 258, 476, 272, 476, 274, 30585, 272, 910, 274, 476, 276, 316, 476, 274, 476, 277, 476, 278, 825, 476, 276, 454, 258, 476, 272, 476, 274, 910, 272, 30585, 274, 476, 276, 476, 274, 316, 476, 277, 476, 278, 825, 476, 276, 454, 258, 476, 272, 476, 274, 910, 272, 910, 274, 1496, 276, 476, 274, 476, 277, 316, 476, 278, 825, 476, 277, 454, 258, 476, 272, 476, 274, 910, 272, 910, 274, 476, 276, 1496, 274, 476, 277, 476, 278, 316, 825, 476, 278, 454, 258, 18452, 281, 589, 1279, 5044, 589, 314, 3910, 543, 513, 6885, 8700, 530, 454, 258, 19243, 281, 1323, 5044, 645, 314, 3910, 645, 5157, 316, 568, 519, 5021, 1871, 540, 689, 589, 5157, 316, 547, 589, 5157, 266, 342, 268, 272, 2639, 258, 18859, 618, 281, 4855, 513, 1434, 6099, 1259, 547, 1205, 645, 5157, 2639, 258, 8074, 281, 1403, 530, 3436, 3259, 540, 519, 5044, 267, 2132, 476, 272, 3693, 609, 519, 3193, 540, 519, 5044, 780, 3698, 23510, 26174, 318, 8578, 25225, 267, 530, 2187, 8931, 825, 7003, 5332, 815, 7003, 25225, 994, 825, 856, 8217, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 5332, 910, 530, 1341, 476, 272, 2187, 1038, 3193, 19571, 815, 3193, 25225, 5157, 281, 328, 266, 342, 7481, 1038, 856, 8217, 6910, 32384, 19571, 994, 8931, 825, 2132, 856, 8217, 22562, 3698, 23510, 26174, 10734, 21392, 25225, 267, 530, 2187, 825, 7003, 5332, 815, 7003, 25225, 994, 8931, 825, 544, 28255, 815, 1496, 271, 2639, 825, 585, 1775, 538, 2039, 263, 272, 267, 342, 266, 272, 2187, 1038, 1247, 544, 28255, 543, 15358, 5157, 316, 3436, 15358, 314, 332, 28255, 15631, 272, 316, 14158, 2018, 544, 28255, 21014, 4590, 1038, 544, 28255, 6910, 9217, 994, 8931, 825, 856, 8217, 815, 1496, 333, 4548, 314, 332, 28255, 314, 271, 14963, 2639, 825, 585, 1775, 538, 2039, 26028, 267, 7003, 5332, 2187, 1038, 952, 1775, 2914, 13843, 544, 28255, 314, 271, 14158, 2018, 544, 28255, 21014, 263, 271, 994, 1038, 1247, 544, 28255, 543, 15358, 5157, 316, 3436, 15358, 314, 332, 28255, 15631, 272, 316, 14158, 2018, 544, 28255, 21014, 4590, 1038, 544, 28255, 6910, 9217, 994, 1038, 856, 8217, 6910, 25225, 314, 332, 28255, 314, 271, 316, 7481, 8931, 825, 2132, 856, 8217, 454, 1363, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 589, 272, 815, 1496, 272, 267, 476, 274, 267, 910, 272, 267, 910, 274, 267, 476, 276, 267, 476, 274, 267, 476, 277, 267, 476, 278, 316, 1948, 1496, 274, 267, 476, 274, 267, 476, 276, 267, 476, 276, 267, 476, 277, 267, 476, 278, 2639, 825, 589, 273, 815, 1496, 272, 267, 476, 272, 316, 1948, 1496, 272, 267, 476, 272, 2639, 825, 1820, 4433, 331, 4575, 26174, 318, 8578, 10490, 272, 267, 476, 274, 4917, 825, 1820, 4433, 331, 4575, 26174, 318, 8578, 10490, 273, 267, 476, 272, 4917, 825, 1820, 4433, 331, 4575, 26174, 10734, 21392, 10490, 272, 267, 476, 274, 4917, 825, 1820, 4433, 331, 4575, 26174, 10734, 21392, 10490, 273, 267, 476, 272, 4917, 0, 258, 9717, 715, 3941, 971, 607, 454, 258, 631, 9890, 715, 9890, 570, 9890, 667, 9890, 661, 454, 258, 1923, 567, 1923, 567, 1923, 567, 11406, 258, 595, 567, 2473, 567, 962, 567, 700, 454, 258, 1923, 567, 11406, 258, 589, 567, 2098, 454, 16482, 258, 9847, 1318, 24072, 454, 258, 1923, 1524, 24072, 454, 258, 19243, 1058, 581, 454, 258, 631, 15010, 290, 15010, 288, 15010, 301, 15010, 311, 15010, 313, 15010, 307, 15010, 312, 15010, 291, 6441, 285, 292, 454, 16482, 258, 3503, 713, 547, 24609, 454, 258, 1219, 24609, 263, 3650, 2187, 16482, 258, 1362, 19219, 24998, 2187, 258, 1318, 3248, 258, 1524, 3248, 258, 1347, 513, 16963, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 2187, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 16192, 815, 7183, 454, 1038, 1582, 6155, 1144, 815, 7183, 28329, 3698, 16289, 5091, 1144, 26371, 263, 3650, 267, 1130, 2187, 825, 952, 711, 2212, 281, 2132, 3097, 8931, 825, 6843, 815, 2212, 454, 825, 1247, 6843, 6155, 1144, 912, 1038, 6843, 815, 6843, 6155, 1144, 454, 825, 6843, 6155, 1144, 815, 19219, 263, 1998, 2020, 3698, 16289, 318, 2431, 17045, 263, 3650, 267, 1007, 17045, 2187, 825, 952, 711, 2212, 281, 2132, 22562, 825, 6843, 815, 2212, 454, 825, 1247, 6843, 16192, 912, 1038, 6843, 815, 6843, 16192, 454, 825, 6843, 16192, 815, 1007, 17045, 22562, 3698, 1820, 318, 2431, 263, 3650, 2187, 825, 952, 711, 2212, 281, 2132, 454, 825, 6843, 815, 2212, 454, 825, 1247, 6843, 912, 1038, 1820, 27316, 22183, 267, 1439, 6889, 19515, 1038, 6843, 815, 6843, 16192, 454, 825, 1820, 2891, 5602, 8931, 3698, 24609, 263, 3650, 2187, 825, 952, 711, 2212, 281, 2132, 22562, 825, 1219, 9041, 29788, 1084, 5091, 1144, 27316, 2187, 1038, 1247, 6843, 6155, 1144, 912, 2018, 6843, 16192, 815, 6843, 6155, 1144, 454, 2018, 6843, 6155, 1144, 815, 7183, 454, 2018, 6843, 815, 6843, 16192, 454, 1038, 2132, 6843, 1948, 519, 2063, 6843, 540, 24609, 22562, 825, 6843, 815, 2212, 8931, 825, 1247, 6843, 912, 1038, 10917, 318, 2431, 815, 6843, 16192, 454, 1038, 24609, 9078, 770, 815, 9041, 29788, 1084, 5091, 1144, 27316, 994, 1038, 24609, 9078, 770, 16192, 815, 10917, 318, 2431, 454, 1038, 6843, 815, 10917, 318, 2431, 692, 825, 2132, 2212, 22562, 8931, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2212, 815, 19219, 3488, 300, 5073, 825, 16289, 5091, 1144, 26371, 263, 3650, 267, 1412, 290, 5073, 825, 16289, 5091, 1144, 26371, 263, 3650, 267, 1412, 288, 5073, 825, 2212, 273, 815, 19219, 3488, 301, 5073, 825, 16289, 5091, 1144, 26371, 263, 3650, 273, 267, 1412, 311, 5073, 825, 16289, 5091, 1144, 26371, 263, 3650, 273, 267, 1412, 313, 5073, 825, 2212, 274, 815, 19219, 3488, 307, 5073, 825, 16289, 5091, 1144, 26371, 263, 3650, 274, 267, 1412, 312, 5073, 825, 2212, 275, 815, 19219, 3488, 291, 5073, 825, 16289, 5091, 1144, 26371, 263, 3650, 275, 267, 1412, 299, 10807, 8931, 825, 2212, 276, 815, 19219, 3488, 292, 5073, 825, 16289, 318, 2431, 17045, 263, 3650, 267, 2212, 273, 994, 825, 16289, 318, 2431, 17045, 263, 3650, 267, 2212, 274, 994, 825, 16289, 318, 2431, 17045, 263, 3650, 267, 2212, 275, 994, 825, 16289, 318, 2431, 17045, 263, 3650, 267, 2212, 276, 2020, 825, 24609, 263, 3650, 994, 825, 1820, 318, 2431, 263, 3650, 994, 8931, 8931, 0, 258, 9717, 513, 2318, 8870, 267, 2132, 922, 7222, 6241, 2140, 607, 2408, 538, 606, 9185, 6656, 563, 16482, 258, 1280, 1383, 912, 258, 672, 476, 272, 9847, 589, 454, 258, 672, 476, 273, 9847, 645, 454, 258, 672, 476, 274, 9847, 595, 454, 258, 672, 4429, 258, 672, 476, 2918, 9847, 2098, 454, 258, 672, 476, 2767, 9847, 21191, 476, 2918, 266, 272, 454, 258, 672, 476, 2764, 9847, 9474, 476, 2918, 266, 273, 692, 3698, 14133, 20311, 18217, 2187, 825, 856, 8217, 815, 11713, 825, 1247, 715, 3436, 476, 271, 912, 1038, 715, 20699, 476, 272, 1948, 1118, 1142, 476, 271, 1759, 454, 1038, 7857, 815, 715, 4939, 476, 2918, 454, 1038, 856, 8217, 6910, 5560, 13424, 994, 1038, 715, 12262, 284, 2918, 22562, 825, 856, 8217, 18622, 2091, 4590, 825, 2132, 834, 2668, 21860, 9852, 777, 10857, 10033, 1535, 281, 669, 337, 263, 867, 3488, 288, 10807, 266, 343, 1070, 856, 8217, 4917, 1363, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 272, 815, 476, 2918, 1948, 2098, 454, 825, 562, 273, 815, 476, 2767, 1948, 21191, 454, 825, 562, 274, 815, 476, 2764, 1948, 9474, 454, 825, 562, 275, 815, 476, 280, 3199, 5400, 280, 1948, 645, 5425, 4785, 22562, 825, 1820, 263, 1410, 4897, 20311, 3799, 272, 4917, 825, 1820, 263, 1410, 4897, 20311, 3799, 273, 4917, 825, 1820, 263, 1410, 4897, 20311, 3799, 274, 4917, 825, 1820, 263, 1410, 4897, 20311, 3799, 275, 4297, 0, 258, 9717, 513, 6241, 2140, 607, 5526, 538, 606, 9185, 6656, 267, 2132, 922, 7222, 6241, 1297, 563, 258, 552, 3052, 269, 912, 258, 589, 9847, 476, 272, 454, 258, 645, 9847, 476, 273, 454, 258, 595, 9847, 476, 274, 454, 258, 4429, 258, 2098, 9847, 476, 2918, 454, 258, 21191, 9847, 476, 2767, 454, 258, 9474, 9847, 476, 2764, 454, 258, 4429, 258, 645, 5425, 4785, 9890, 476, 280, 3199, 5400, 280, 692, 3698, 14133, 20311, 273, 263, 514, 1598, 2187, 825, 538, 4289, 815, 1592, 263, 514, 1598, 994, 825, 7003, 5332, 815, 7003, 263, 514, 4289, 994, 825, 538, 4289, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 3921, 3287, 264, 910, 3921, 3488, 288, 30670, 538, 4289, 4297, 1948, 1118, 476, 271, 1759, 1297, 1592, 454, 825, 538, 4289, 18622, 2091, 4590, 8931, 825, 1003, 815, 476, 271, 454, 825, 546, 815, 476, 271, 1948, 7857, 1297, 454, 825, 585, 562, 538, 538, 4289, 912, 1038, 562, 6834, 476, 272, 454, 1038, 1003, 6834, 562, 16732, 2918, 1262, 323, 994, 1038, 546, 6834, 476, 272, 22562, 825, 2132, 1003, 22562, 672, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 272, 815, 1412, 288, 262, 1948, 476, 272, 454, 825, 521, 273, 815, 1412, 289, 262, 1948, 476, 273, 454, 825, 521, 274, 815, 1412, 313, 262, 1948, 476, 2918, 454, 825, 521, 275, 815, 1412, 8150, 262, 1948, 476, 2767, 454, 825, 521, 276, 815, 1412, 5723, 262, 1948, 476, 2764, 454, 825, 521, 277, 815, 1412, 289, 5425, 4785, 262, 1948, 476, 280, 3199, 5400, 280, 22562, 825, 1820, 263, 1410, 4897, 20311, 273, 4433, 272, 4297, 8931, 825, 1820, 263, 1410, 4897, 20311, 273, 4433, 273, 4917, 825, 1820, 263, 1410, 4897, 20311, 273, 4433, 274, 4297, 8931, 825, 1820, 263, 1410, 4897, 20311, 273, 4433, 275, 4917, 825, 1820, 263, 1410, 4897, 20311, 273, 4433, 276, 4297, 8931, 825, 1820, 263, 1410, 4897, 20311, 273, 4433, 277, 4297, 672, 0, 258, 9717, 606, 5667, 9285, 5044, 267, 4855, 519, 737, 6253, 4102, 1297, 689, 519, 5044, 563, 258, 552, 3052, 269, 1496, 275, 267, 476, 273, 267, 476, 276, 267, 476, 274, 267, 476, 280, 267, 476, 272, 316, 1315, 476, 271, 9890, 476, 280, 692, 258, 519, 1655, 630, 600, 677, 1242, 744, 18217, 4297, 3070, 609, 519, 2656, 1606, 677, 899, 5690, 3097, 3698, 1265, 17624, 628, 9078, 17999, 25225, 267, 918, 2187, 825, 952, 711, 15358, 281, 2132, 454, 825, 7003, 5332, 4548, 815, 7003, 25225, 994, 825, 952, 918, 2999, 476, 271, 610, 918, 3436, 6352, 5332, 4548, 281, 2132, 22562, 825, 1219, 9041, 22772, 330, 628, 4433, 889, 333, 4548, 267, 330, 2187, 1038, 952, 711, 1016, 333, 4548, 281, 2132, 454, 1038, 7003, 5334, 889, 333, 4548, 815, 7003, 4433, 889, 333, 4548, 994, 1038, 952, 737, 2999, 476, 271, 610, 737, 3436, 7003, 5334, 889, 333, 4548, 281, 2132, 28329, 1038, 22141, 815, 1016, 333, 4548, 314, 271, 2639, 1038, 2451, 815, 11713, 1038, 1318, 815, 11713, 13872, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 5334, 889, 333, 4548, 2187, 2018, 952, 1016, 333, 4548, 5157, 316, 3436, 22141, 912, 3546, 1318, 6910, 4433, 889, 333, 4548, 5157, 7481, 2018, 3116, 912, 3546, 2451, 6910, 4433, 889, 333, 4548, 5157, 7481, 13872, 1038, 952, 7003, 263, 3847, 264, 2652, 737, 912, 2018, 2132, 22141, 454, 1038, 8640, 7003, 263, 3847, 264, 3436, 737, 912, 2018, 2132, 9041, 22772, 330, 628, 263, 3847, 267, 737, 994, 1038, 3116, 912, 2018, 2132, 9041, 22772, 330, 628, 263, 2431 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 257, 3963, 798, 1072, 5049, 4001, 721, 1152, 827, 4638, 2069, 267, 950, 1072, 13315, 865, 1454, 811, 8119, 3733, 3659, 4280, 803, 267, 607, 649, 7722, 538, 1175, 1776, 6643, 827, 875, 15265, 519, 16663, 3297, 2790, 1072, 568, 563, 296, 4769, 1405, 723, 606, 2626, 267, 543, 594, 1810, 1405, 3494, 3506, 798, 2901, 269, 1403, 596, 2811, 513, 2852, 2875, 267, 596, 4440, 723, 4810, 4606, 540, 4160, 267, 4250, 267, 610, 21817, 267, 2523, 1282, 17173, 2053, 899, 1710, 1023, 3018, 269, 1411, 849, 4440, 723, 2828, 602, 29153, 540, 2147, 4606, 267, 930, 540, 7247, 949, 581, 24802, 8995, 609, 2790, 2175, 899, 20902, 4160, 4524, 630, 294, 4696, 1916, 763, 5168, 568, 267, 5103, 2921, 513, 21318, 540, 10334, 543, 930, 10017, 5049, 267, 594, 723, 2760, 4121, 827, 2790, 1072, 538, 606, 4081, 4259, 269, 634, 1152, 4990, 540, 1702, 594, 723, 3823, 519, 1888, 568, 689, 3797, 7886, 594, 723, 1185, 267, 1514, 2923, 267, 7391, 609, 2828, 267, 610, 32026, 269, 898, 7012, 1405, 2394, 713, 1808, 6643, 602, 594, 1185, 609, 1250, 3659, 602, 594, 7691, 713, 543, 519, 6286, 540, 621, 563, 763, 5354, 540, 2790, 1072, 2175, 8451, 1282, 18273, 1813, 547, 11385, 908, 10399, 267, 519, 2634, 781, 1646, 1282, 23648, 267, 543, 4598, 547, 17672, 3871, 899, 11648, 538, 1153, 269, 1452, 3871, 267, 538, 4999, 609, 519, 15398, 2604, 547, 798, 1134, 538, 1153, 543, 707, 4876, 267, 2333, 519, 8458, 540, 24931, 27676, 2175, 269, 1306, 513, 1267, 267, 519, 2034, 3056, 2014, 540, 2669, 538, 10708, 568, 11980, 563, 28606, 17067, 713, 19496, 267, 538, 835, 540, 1250, 476, 4968, 7400, 2296, 5049, 267, 1250, 7548, 23589, 569, 8694, 938, 11000, 593, 23305, 1143, 269, 1261, 5483, 721, 602, 835, 540, 519, 1053, 538, 938, 1362, 602, 1152, 15538, 540, 476, 736, 267, 1631, 1175, 476, 866, 267, 1185, 3144, 1010, 1272, 513, 1906, 2395, 1991, 269, 898, 729, 519, 2601, 1946, 646, 7012, 1405, 1459, 2063, 1362, 269, 1261, 4951, 721, 1010, 1073, 527, 4231, 267, 5795, 721, 930, 2790, 1072, 2200, 952, 649, 2479, 834, 325, 3881, 899, 649, 2877, 873, 2437, 543, 1287, 5143, 721, 519, 2296, 8257, 729, 8185, 14236, 519, 2339, 543, 1131, 6175, 519, 24913, 952, 789, 1336, 513, 3095, 269, 1284, 941, 1287, 25323, 267, 519, 476, 866, 540, 721, 1932, 1253, 571, 9853, 547, 1256, 3717, 547, 1142, 824, 607, 649, 19429, 856, 540, 519, 4928, 563, 763, 5168, 568, 267, 519, 2875, 538, 1250, 1362, 729, 1175, 835, 540, 519, 1082, 8536, 15730, 647, 15969, 602, 2049, 12422, 269, 634, 1297, 540, 2043, 945, 723, 13986, 267, 855, 8959, 267, 3788, 7164, 269, 12140, 1404, 606, 17271, 1909, 538, 1082, 540, 891, 647, 15969, 267, 855, 789, 616, 11688, 26938, 547, 2232, 713, 1249, 267, 1034, 4440, 538, 4250, 540, 519, 2360, 593, 741, 10639, 563, 10743, 1419, 4225, 741, 9344, 543, 10781, 936, 741, 2790, 1072, 267, 855, 519, 1034, 521, 5417, 2287, 20185, 568, 3506, 798, 711, 1416, 827, 519, 2790, 8171, 540, 741, 1053, 269, 1403, 1164, 4081, 24913, 338, 616, 2469, 547, 581, 5116, 593, 1762, 1053, 267, 789, 1058, 849, 581, 6026, 827, 519, 29854, 621, 666, 723, 593, 741, 2790, 1072, 269, 10076, 1072, 1058, 581, 513, 1362, 13950, 547, 782, 1053, 267, 7488, 540, 2101, 267, 543, 3506, 1058, 581, 519, 3283, 30191, 713, 4341, 543, 8744, 4656, 563, 3674, 621, 19849, 23035, 602, 621, 568, 476, 1708, 271, 543, 519, 5318, 5354, 540, 3506, 20549, 547, 13599, 741, 1053, 827, 2790, 1072, 286, 8786, 269, 1772, 972, 942, 547, 1118, 519, 2556, 1689, 286, 8786, 269, 0, 12218, 525, 543, 9517, 338, 616, 875, 649, 1711, 1114, 6163, 585, 1114, 2609, 593, 519, 2985, 269, 9517, 338, 616, 2189, 1541, 13294, 543, 666, 1152, 581, 1031, 2899, 593, 1022, 835, 2985, 269, 26643, 666, 581, 32419, 543, 4294, 547, 1114, 2609, 563, 3383, 267, 585, 1383, 267, 713, 568, 4636, 912, 3719, 713, 1131, 581, 1318, 912, 2791, 666, 849, 3651, 5049, 547, 1114, 2609, 912, 263, 1692, 3730, 713, 568, 1131, 4096, 593, 519, 6163, 7923, 547, 519, 5049, 8094, 31312, 616, 4857, 538, 22898, 676, 454, 258, 538, 4395, 540, 519, 2012, 267, 1247, 5049, 723, 454, 269, 538, 4395, 540, 873, 267, 552, 3052, 12727, 0, 2704, 836, 559, 534, 267, 645, 659, 565, 617, 4975, 267, 10598, 4592, 12769, 1211, 531, 267, 13372, 454, 8266, 540, 519, 476, 1704, 3204, 687, 538, 519, 13372, 454, 13233, 910, 13317, 16323, 2340, 17302, 594, 910, 19129, 665, 657, 2340, 17302, 4083, 910, 595, 698, 18885, 2340, 17302, 8633, 910, 595, 269, 13198, 345, 517, 2340, 17302, 10001, 5025, 910, 2836, 629, 541, 345, 517, 2340, 17302, 10001, 5174, 910, 631, 31483, 30249, 2340, 17302, 966, 910, 645, 545, 565, 2340, 17302, 17886, 910, 654, 269, 6250, 28569, 2340, 17302, 23446, 910, 595, 269, 6250, 28569, 2340, 17302, 24163, 910, 661, 269, 6250, 28569, 2340, 17302, 26577, 910, 2098, 14781, 18553, 2340, 17302, 2473, 910, 715, 269, 9650, 3570, 334, 2340, 17302, 2473, 296, 910, 5096, 7776, 2340, 17302, 2473, 2862, 910, 590, 11484, 338, 802, 1173, 523, 2340, 17302, 2473, 7656, 910, 2961, 15676, 2340, 17302, 2473, 4353, 910, 27334, 2340, 17302, 2473, 309, 910, 645, 2752, 12613, 454, 20751, 891, 476, 1704, 4525, 538, 519, 13372, 267, 972, 616, 476, 5655, 267, 271, 5379, 3046, 836, 904, 267, 476, 16825, 279, 25772, 267, 476, 16409, 4872, 267, 476, 10037, 16899, 269, 898, 814, 513, 11180, 1106, 540, 2229, 543, 519, 5191, 540, 4633, 568, 909, 18988, 676, 1876, 269, 2296, 568, 519, 834, 1782, 7699, 21473, 8619, 257, 543, 568, 519, 7154, 540, 6044, 538, 782, 1164, 3506, 267, 12621, 543, 9945, 269, 16572, 543, 11731, 616, 2854, 538, 2296, 563, 268, 3687, 4476, 13313, 543, 11694, 13884, 609, 513, 2871, 5875, 2465, 540, 2290, 27737, 829, 16323, 269, 1358, 5258, 519, 13372, 883, 681, 9680, 12778, 306, 267, 855, 6854, 10323, 2793, 307, 3036, 24361, 6041, 3084, 609, 1100, 12477, 547, 1022, 4525, 907, 3143, 4898, 1082, 4525, 2611, 4057, 269, 8891, 819, 585, 513, 6237, 6845, 31247, 9550, 269, 2353, 4525, 786, 723, 6845, 31247, 6041, 563, 21574, 836, 904, 540, 645, 659, 565, 617, 4975, 267, 538, 519, 10598, 4592, 12769, 1211, 531, 19435, 1369, 16323, 476, 277, 263, 310, 3480, 6250, 28569, 264, 538, 519, 6243, 540, 634, 13372, 454, 2704, 836, 559, 534, 1923, 1325, 6359, 529, 1923, 14465, 6210, 1923, 4446, 836, 599, 476, 272, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 273, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 274, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 275, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 276, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 277, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 278, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 279, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 280, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1015, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1556, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1321, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1724, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1691, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1428, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1626, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1704, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1240, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 866, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 736, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2641, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2420, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2537, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2190, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1839, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2918, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2767, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2764, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 3066, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 1789, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 4029, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 3953, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 3451, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 4097, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 3374, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 3607, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 4391, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 4343, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 4375, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 2412, 630, 303, 984, 4700, 1923, 4446, 836, 599, 476, 6078, 630, 303, 984, 4700, 1923, 645, 1092, 1923, 16410, 1872, 1923, 6480, 1030, 16492, 1923, 21634, 13453, 1923, 21081, 3385, 1923, 7435, 3861, 534, 1923, 13495, 531, 12298, 1923, 32617, 4979, 534, 1923, 22757, 341, 16695, 1923, 623, 25301, 665, 1195, 1923, 623, 2863, 320, 2389, 599, 339, 599, 1923, 7327, 322, 836, 5025, 597, 1636, 1923, 5681, 268, 698, 1923, 570, 659, 30389, 1923, 19358, 889, 1923, 16645, 17868, 974, 1923, 966, 16695, 589, 5586, 516, 454, 763, 13372, 814, 1044, 513, 834, 1372, 25218, 1242, 257, 1106, 540, 2229, 2094, 476, 1960, 272, 267, 14669, 547, 1018, 1034, 21309, 16394, 1589, 269, 17451, 2094, 519, 5137, 540, 6243, 2920, 476, 278, 1626, 271, 267, 1142, 9437, 308, 568, 3743, 585, 922, 1378, 6389, 269, 4634, 519, 10545, 9437, 308, 519, 3046, 836, 599, 5932, 922, 1378, 20907, 269, 898, 568, 711, 8200, 593, 1688, 8083, 689, 519, 2749, 267, 29109, 610, 11662, 269, 834, 296, 6573, 2207, 24361, 631, 3198, 296, 6369, 4959, 589, 31253, 8025, 256, 2580, 621, 1281, 711, 2291, 15042, 269, 634, 27000, 6578, 19862, 1062, 568, 711, 21438, 269, 1547, 898, 568, 519, 5539, 540, 1142, 9437, 308, 547, 10505, 741, 6578, 776, 2115, 585, 2689, 269, 23299, 547, 10505, 568, 519, 1966, 563, 347, 3849, 9953, 713, 2546, 269, 6435, 707, 2146, 1205, 811, 4598, 547, 570, 21788, 3041, 4811, 543, 5442, 309, 12239, 27633, 269, 6435, 721, 2087, 713, 2546, 8198, 289, 659, 565, 617, 4975, 267, 10598, 4592, 12769, 1211, 531, 454, 347, 11328, 5562, 5616, 31420, 10934, 540, 10598, 4592, 12769, 1211, 531, 2008, 27078, 4592, 12769, 1211, 531, 10934, 16511, 1807, 454, 19613, 540, 1325, 836, 559, 534, 267, 645, 659, 565, 617, 4975, 267, 10598, 4592, 12769, 1211, 531, 267, 13372, 454, 268, 1325, 836, 559, 534, 568, 835, 540, 519, 4446, 836, 904, 540, 645, 659, 565, 617, 4975, 563, 268, 645, 659, 565, 617, 4975, 568, 538, 519, 19435, 540, 10598, 4592, 12769, 1211, 531, 454, 268, 10598, 4592, 12769, 1211, 531, 568, 538, 519, 5375, 6250, 28569, 6532, 540, 10598, 4592, 543, 1369, 16323, 17886, 563, 268, 1325, 836, 559, 534, 568, 4092, 5111, 476, 1626, 12919, 5101, 540, 645, 659, 565, 617, 4975, 610, 513, 476, 1789, 18826, 11878, 5101, 540, 645, 659, 565, 617, 4975, 1697, 563, 14532, 540, 1325, 836, 559, 534, 267, 645, 659, 565, 617, 4975, 267, 10598, 4592, 12769, 1211, 531, 267, 13372, 454, 289, 2752, 3198, 16598, 312, 9338, 20315, 6579, 3198, 918, 3201, 4338, 2752, 3198, 8946, 2894, 6730, 715, 8582, 454, 763, 1034, 8978, 2680, 3576, 1747, 538, 476, 4350, 279, 950, 645, 659, 565, 617, 729, 11506, 883, 513, 2749, 998, 20448, 2920, 476, 30444, 5293, 676, 519, 2817, 13909, 2870, 519, 15873, 1229, 4975, 540, 645, 659, 565, 617, 269, 13909, 2006, 630, 331, 831, 6845, 1807, 264, 31883, 670, 1716, 2801, 345, 540, 519, 2034, 8664, 23032, 519, 3915, 269, 634, 1876, 729, 5293, 593, 4873, 476, 1240, 267, 4350, 279, 267, 855, 621, 729, 711, 2394, 5239, 476, 866, 267, 4350, 279, 602, 519, 2749, 729, 22305, 13894, 1317, 540, 10770, 22856, 1282, 519, 1032, 269, 645, 659, 565, 617, 729, 29064, 607, 15873, 1229, 4975, 676, 16495, 540, 20448, 2920, 3143, 269, 476, 29024, 563, 28347, 2494, 3241, 700, 269, 6581, 345, 517, 12912, 21238, 334, 8053, 601, 756, 8457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 21654, 18880, 538, 3943, 9085, 692, 9556, 2544, 476, 272, 281, 4985, 547, 519, 6520, 540, 21654, 692, 763, 476, 1240, 628, 2540, 729, 6825, 676, 1713, 7214, 543, 10952, 7835, 538, 2342, 267, 3226, 538, 5333, 269, 634, 1974, 267, 1634, 607, 519, 6520, 540, 21654, 610, 3274, 519, 21654, 630, 299, 525, 700, 26619, 11726, 637, 1070, 15091, 2601, 267, 1367, 1143, 267, 25949, 267, 543, 2257, 607, 3119, 2959, 540, 1702, 269, 901, 9074, 12857, 1053, 547, 713, 2565, 5736, 267, 922, 1883, 5515, 267, 543, 741, 7418, 547, 3332, 543, 2486, 269, 1284, 786, 2263, 875, 519, 2418, 540, 519, 21654, 6766, 2101, 5339, 5322, 971, 607, 2366, 14939, 1143, 267, 11509, 1143, 267, 543, 17779, 1282, 713, 942, 780, 9556, 2544, 476, 273, 281, 11759, 21654, 14313, 543, 4256, 21478, 593, 9085, 692, 1607, 3296, 12538, 4514, 883, 519, 4909, 3741, 540, 519, 21654, 543, 12116, 741, 1764, 593, 3943, 3332, 269, 4841, 1451, 827, 1898, 2093, 899, 15698, 267, 9992, 24471, 267, 7862, 267, 632, 1143, 267, 16712, 1480, 1143, 267, 3356, 267, 2069, 267, 10892, 267, 543, 9668, 540, 5939, 543, 1533, 269, 3414, 2673, 13220, 540, 9565, 5931, 899, 5292, 3279, 790, 781, 15443, 728, 267, 681, 28907, 879, 781, 27878, 332, 850, 267, 543, 667, 3187, 582, 781, 10496, 13196, 682, 674, 7614, 626, 324, 1696, 5067, 12103, 383, 362, 30036, 267, 649, 5659, 875, 4589, 6964, 1585, 5339, 2553, 547, 6655, 891, 16431, 780, 9556, 2544, 476, 274, 281, 13329, 14939, 626, 9085, 543, 32313, 692, 1103, 3210, 547, 519, 7787, 21274, 540, 519, 21654, 267, 1082, 3943, 5830, 5828, 2509, 18941, 1275, 30867, 8561, 593, 7553, 267, 2283, 2225, 267, 543, 5837, 10385, 269, 1635, 4974, 1568, 899, 3057, 643, 14513, 781, 5487, 966, 773, 632, 631, 4115, 928, 543, 30086, 32221, 262, 15776, 700, 807, 11143, 546, 1052, 516, 4926, 267, 1053, 1174, 875, 2366, 14939, 626, 4589, 8268, 4798, 971, 607, 2648, 267, 8296, 267, 1582, 16531, 267, 543, 13919, 1247, 1869, 2502, 609, 21654, 11407, 269, 3958, 267, 5717, 3382, 4296, 1063, 2366, 14939, 1143, 543, 6932, 1514, 2152, 899, 2021, 781, 2924, 267, 1362, 25327, 267, 543, 2804, 13103, 780, 9556, 2544, 476, 275, 281, 21434, 1143, 543, 1234, 13905, 18830, 17217, 692, 4407, 930, 3943, 4589, 17947, 519, 28975, 540, 519, 21654, 267, 1866, 2746, 539, 1996, 873, 998, 11509, 1143, 269, 901, 3350, 5059, 593, 4664, 267, 9345, 267, 6612, 267, 543, 1367, 5191, 2864, 982, 20170, 14553, 547, 7954, 543, 2601, 269, 932, 622, 879, 321, 686, 663, 781, 589, 2145, 320, 543, 11412, 2946, 4196, 607, 6305, 1806, 540, 2038, 3943, 11509, 3332, 267, 799, 1419, 11368, 16678, 5468, 267, 10120, 18305, 267, 543, 16750, 2609, 269, 4841, 8495, 875, 891, 5931, 2992, 13253, 1063, 21654, 2418, 543, 4244, 2081, 540, 3206, 1282, 519, 3735, 476, 1240, 628, 2540, 780, 9556, 2544, 476, 276, 281, 30527, 543, 4317, 7600, 1664, 692, 2026, 519, 476, 866, 628, 2540, 546, 1177, 2740, 267, 17779, 7153, 607, 1776, 3532, 3196, 1369, 3943, 3332, 269, 2060, 7195, 345, 659, 781, 2274, 623, 27056, 32020, 3999, 543, 853, 754, 15595, 781, 2274, 22748, 613, 1696, 682, 3143, 597, 3056, 519, 1259, 267, 1483, 1235, 8179, 547, 9446, 4948, 1272, 8308, 267, 10223, 6848, 20924, 543, 14957, 6963, 269, 1284, 4983, 875, 1483, 626, 4589, 7722, 609, 21654, 16431, 899, 2069, 267, 20519, 7100, 267, 543, 5126, 1247, 849, 5466, 10296, 4207, 4145, 899, 22713, 267, 4683, 2208, 267, 543, 2797, 16132, 780, 9556, 2544, 476, 277, 281, 10390, 910, 6181, 9313, 540, 519, 21654, 538, 7073, 3943, 9085, 692, 5978, 3803, 9074, 9356, 2390, 519, 9434, 3310, 540, 21654, 2418, 593, 7766, 5339, 5322, 543, 4207, 3943, 2528, 269, 14301, 4296, 1063, 2250, 543, 1459, 267, 1053, 2015, 5571, 9840, 4478, 4984, 267, 6214, 267, 7881, 267, 543, 15312, 269, 5015, 267, 789, 4497, 609, 2413, 12496, 540, 5929, 5931, 543, 2708, 519, 10083, 540, 21654, 16431, 538, 2221, 781, 2518, 2796, 269, 11086, 267, 713, 1576, 6663, 547, 6536, 513, 2620, 7071, 585, 519, 17381, 540, 3943, 3332, 543, 922, 11972, 1379, 547, 3337, 8186, 267, 4161, 10054, 267, 543, 8300, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 1215, 621, 1568, 454, 1692, 1454, 786, 707, 12031, 1942, 888, 5970, 606, 4274, 4081, 2328, 707, 12031, 1957, 2336, 7476, 19957, 1888, 2093, 543, 513, 12031, 1544, 585, 1175, 11278, 3393, 269, 876, 454, 24576, 3584, 543, 1544, 454, 7476, 476, 272, 1863, 1888, 538, 707, 1858, 540, 1353, 609, 2832, 543, 24134, 454, 8133, 594, 1616, 519, 1863, 1888, 454, 14532, 19837, 10488, 11762, 454, 13775, 676, 24553, 3400, 742, 514, 693, 5130, 476, 280, 628, 267, 476, 1708, 274, 2073, 4860, 2213, 2201, 5239, 476, 276, 267, 476, 1708, 274, 454, 24400, 519, 1034, 3617, 1888, 585, 513, 1686, 12031, 666, 581, 16602, 269, 6969, 8939, 513, 1888, 267, 621, 568, 16122, 547, 723, 606, 538, 3829, 1702, 540, 519, 3140, 2621, 610, 9259, 596, 6999, 547, 6218, 269, 13159, 8223, 540, 513, 1888, 1858, 568, 2556, 1354, 596, 666, 979, 827, 519, 4305, 540, 11264, 707, 12031, 563, 2414, 948, 596, 1205, 3323, 609, 23730, 585, 1686, 1888, 2093, 267, 649, 723, 2919, 513, 1592, 540, 519, 5767, 3584, 602, 666, 581, 1031, 585, 1603, 707, 1686, 12031, 563, 4942, 291, 11727, 5830, 540, 938, 2319, 723, 2919, 891, 3584, 267, 865, 596, 666, 3972, 547, 946, 891, 3584, 585, 1951, 325, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5319, 13874, 18880, 538, 3943, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 5333, 1315, 476, 1240, 628, 11416, 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, 21727, 532, 11524, 262, 27801, 338, 281, 4197, 16241, 6452, 7951, 566, 538, 519, 31071, 692, 5331, 596, 723, 1044, 2324, 2731, 2182, 593, 513, 1895, 1788, 609, 707, 15032, 267, 543, 596, 666, 1405, 7227, 547, 2671, 621, 609, 3025, 1282, 519, 1153, 10198, 269, 1717, 267, 1175, 1354, 519, 2462, 1554, 267, 596, 1265, 856, 602, 835, 540, 707, 2319, 2818, 4465, 1405, 581, 2111, 547, 7390, 1813, 547, 513, 3909, 8343, 602, 7526, 609, 519, 10198, 8430, 269, 1215, 1131, 596, 1745, 827, 713, 3510, 286, 14348, 621, 581, 4023, 952, 707, 4116, 15189, 547, 1577, 873, 7119, 3274, 1317, 540, 741, 5132, 286, 2986, 1576, 711, 256, 2334, 781, 1946, 938, 2486, 814, 3652, 547, 2149, 1004, 781, 2924, 547, 2259, 741, 4984, 1247, 1869, 10283, 4628, 538, 1585, 3344, 540, 1272, 267, 899, 2469, 547, 1153, 610, 1256, 2348, 513, 2816, 269, 2913, 781, 2263, 875, 891, 20038, 4019, 4481, 547, 519, 9036, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 304, 281, 1548, 13800, 798, 12820, 723, 950, 6236, 9441, 13668, 585, 942, 1055, 585, 3909, 2616, 1734, 267, 2523, 1282, 519, 14812, 888, 288, 281, 2755, 12820, 3622, 616, 1863, 547, 29343, 610, 20549, 9441, 13668, 585, 942, 1055, 267, 950, 621, 2501, 547, 13668, 585, 942, 1055, 585, 3909, 2616, 766, 267, 789, 616, 2838, 676, 1876, 547, 1683, 10257, 22581, 547, 5520, 585, 3909, 2616, 1734, 602, 4655, 609, 960, 4170, 693, 1022, 1448, 1282, 519, 1032, 267, 1519, 14812, 950, 972, 568, 606, 2333, 538, 971, 13668, 267, 8259, 3257, 865, 1131, 1711, 606, 3768, 826, 27465, 563, 17138, 23446, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 630, 17138, 23446, 1070, 10858, 547, 12820, 609, 476, 1428, 610, 811, 5520, 267, 543, 2147, 1533, 4031, 10238, 527, 12820, 689, 5806, 3215, 1996, 5520, 538, 17849, 267, 20590, 267, 543, 824, 2474, 543, 2175, 540, 7694, 1317, 540, 741, 3909, 4978, 563, 2108, 9824, 16406, 3661, 892, 568, 14648, 17618, 676, 519, 26321, 25477, 31621, 8189, 630, 7417, 8016, 264, 543, 519, 10470, 547, 1331, 711, 1152, 911, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20685, 923, 543, 5651, 1275, 257, 607, 851, 540, 834, 16300, 13493, 1315, 15215, 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, 6637, 7170, 281, 4347, 2056, 3776, 9406, 547, 28423, 281, 4197, 5131, 16594, 543, 595, 839, 11208, 692, 7072, 281, 5620, 596, 2479, 5433, 899, 596, 7948, 1405, 2769, 707, 6644, 1317, 2576, 1522, 1205, 14834, 693, 596, 286, 2107, 6148, 596, 941, 5143, 602, 596, 666, 1405, 2911, 827, 1945, 602, 781, 1271, 547, 596, 269, 901, 3184, 786, 948, 596, 1174, 1946, 621, 781, 1898, 547, 2149, 938, 1318, 547, 3717, 11884, 543, 875, 930, 1004, 1472, 519, 1158, 3068, 24890, 9789, 21109, 540, 1863, 4633, 269, 2913, 781, 4685, 883, 1620, 1018, 1863, 4633, 1797, 543, 2263, 1483, 3734, 2984, 602, 1397, 922, 4644, 780, 1432, 568, 5131, 16594, 888, 10403, 4633, 4016, 547, 519, 5191, 547, 2161, 1018, 649, 1589, 267, 2671, 938, 8369, 267, 543, 5968, 16175, 1510, 4250, 540, 1373, 27052, 610, 30201, 3176, 269, 3509, 2477, 723, 4031, 7863, 741, 4961, 685, 1318, 547, 1863, 4633, 267, 855, 3006, 6608, 3970, 891, 22624, 269, 1879, 713, 4523, 267, 1004, 949, 18992, 547, 31205, 4687, 1344, 610, 1210, 3009, 1913, 547, 859, 1228, 7020, 780, 290, 839, 11208, 5288, 269, 5131, 16594, 454, 3086, 4952, 952, 972, 729, 513, 3532, 1895, 14045, 799, 2835, 596, 1223, 1224, 267, 9413, 596, 1223, 4585, 267, 610, 1256, 7391, 596, 1223, 723, 256, 2334, 1131, 581, 24890, 1107, 950, 513, 1268, 610, 3919, 13290, 547, 1852, 610, 16401, 1018, 1866, 666, 1294, 267, 5873, 267, 610, 2161, 269, 22749, 1419, 946, 24890, 607, 513, 1259, 547, 2226, 1379, 936, 741, 2551, 282, 2705, 267, 1082, 3494, 971, 9993, 616, 24407, 2094, 789, 17225, 5876, 267, 5647, 267, 543, 2123, 2208, 780, 18600, 12267, 540, 26647, 24327, 454, 4131, 781, 1413, 693, 513, 1906, 1806, 1141, 2043, 12703, 569, 10692, 1996, 24890, 547, 9718, 741, 5191, 540, 4082, 780, 265, 5689, 8403, 962, 748, 2378, 345, 2967, 267, 513, 9031, 328, 19191, 585, 4775, 2069, 267, 5185, 2669, 6937, 1310, 6340, 856, 1996, 519, 13669, 28063, 781, 7333, 593, 6690, 11504, 3506, 269, 2701, 4797, 14957, 585, 1200, 2014, 2394, 1352, 729, 8929, 676, 9810, 1235, 538, 476, 1001, 273, 269, 21001, 1529, 3585, 17005, 267, 5689, 8403, 2968, 606, 3486, 3090, 540, 4187, 1996, 26568, 20816, 5275, 547, 16563, 9739, 14053, 3160, 2924, 543, 3255, 563, 265, 4438, 2622, 2782, 4083, 267, 14732, 7671, 5206, 513, 19701, 24223, 1200, 2833, 15720, 689, 13303, 20655, 269, 4173, 4651, 3370, 519, 1433, 2022, 21065, 3585, 267, 13031, 519, 3520, 5558, 540, 2112, 998, 513, 1126, 781, 5133, 269, 634, 4144, 776, 540, 14732, 7671, 3788, 835, 540, 1686, 781, 1034, 14984, 23106, 540, 519, 2956, 540, 8497, 1367, 5639, 543, 1650, 563, 265, 20568, 2473, 807, 984, 334, 267, 513, 4457, 5339, 10404, 267, 14544, 267, 1480, 2924, 19191, 267, 543, 17587, 13458, 15356, 31444, 622, 267, 6170, 1296, 29802, 1813, 547, 1010, 13047, 9880, 540, 3624, 781, 19797, 9549, 269, 6736, 6849, 10654, 338, 267, 10726, 902, 267, 543, 1279, 21018, 538, 4074, 13122, 267, 646, 30174, 538, 8165, 585, 9111, 267, 6963, 267, 543, 4341, 540, 1876, 538, 3624, 780, 3963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1808, 1747, 543, 1808, 2081, 538, 799, 789, 1223, 798, 602, 269, 7490, 581, 2386, 547, 946, 1808, 543, 11855, 1806, 540, 2081, 602, 1876, 11268, 814, 13986, 547, 1852, 6896, 6760, 2516, 1210, 2147, 12485, 269, 11773, 2685, 11264, 713, 1788, 786, 2154, 930, 9345, 267, 865, 621, 568, 4625, 5386, 547, 1589, 3544, 540, 519, 4216, 269, 634, 2698, 2838, 7084, 3259, 568, 513, 5934, 540, 2947, 2407, 3817, 543, 513, 5021, 540, 5722, 2407, 3817, 269, 2353, 14327, 585, 519, 1876, 11268, 3296, 1058, 581, 538, 14905, 3898, 269, 901, 7084, 568, 4502, 513, 2698, 540, 476, 1911, 1448, 810, 325, 707, 3803, 3446, 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 ]
[ 4746, 267, 621, 781, 593, 519, 607, 1417, 563, 1103, 1022, 2013, 267, 1082, 2043, 1810, 1405, 1174, 602, 789, 616, 538, 8594, 585, 513, 3987, 4466, 269, 1306, 513, 4183, 540, 519, 24223, 3126, 834, 23804, 12128, 2437, 7147, 5398, 15571, 781, 962, 557, 12076, 5484, 822, 1938, 543, 6424, 9410, 5096, 625, 4682, 547, 5842, 21293, 781, 8381, 331, 11921, 8235, 5244, 543, 3221, 539, 609, 2043, 827, 1018, 3987, 568, 2495, 585, 741, 2729, 563, 763, 18913, 1650, 568, 7768, 689, 741, 1995, 543, 21169, 563, 2171, 1305, 909, 513, 3349, 2673, 547, 519, 588, 13764, 1259, 269, 898, 729, 21243, 609, 11149, 540, 1216, 267, 7147, 5398, 15571, 561, 2393, 267, 543, 513, 1906, 10448, 2371, 929, 25293, 909, 547, 851, 609, 563, 763, 2371, 941, 513, 5734, 269, 4658, 3893, 1927, 269, 5015, 267, 649, 1185, 519, 4781, 547, 22679, 790, 607, 547, 2436, 7392, 476, 273, 3987, 568, 1945, 602, 7506, 741, 6068, 3283, 563, 303, 847, 1227, 1169, 1367, 649, 9619, 729, 3551, 569, 4299, 1934, 543, 972, 676, 519, 3968, 543, 922, 1476, 16272, 563, 19285, 3274, 1294, 1250, 1920, 6370, 269, 3733, 19033, 1185, 621, 269, 3733, 6264, 2742, 269, 594, 723, 1079, 16254, 602, 723, 3987, 2437, 9995, 571, 8055, 5143, 721, 563, 7712, 3987, 568, 865, 1459, 538, 1200, 2673, 1920, 267, 8055, 568, 11613, 538, 8594, 585, 621, 269, 769, 1022, 2013, 267, 1352, 1767, 1352, 7012, 1405, 4010, 13533, 540, 602, 563, 257, 8601, 519, 1249, 602, 594, 917, 621, 781, 538, 1250, 1920, 267, 594, 7012, 1405, 2519, 2094, 594, 4769, 1405, 723, 621, 269, 1717, 267, 1631, 602, 594, 6415, 840, 26817, 12185, 267, 594, 6415, 12394, 547, 269, 594, 4312, 1044, 547, 513, 6484, 626, 543, 649, 4312, 1044, 7234, 1919, 547, 3548, 2437, 8055, 1767, 269, 834, 3383, 602, 568, 1250, 6370, 269, 3143, 15568, 267, 1100, 13365, 267, 1100, 13000, 910, 596, 917, 910, 723, 513, 1521, 2943, 711, 606, 3003, 19619, 540, 13000, 267, 8631, 899, 602, 4799, 13010, 267, 1352, 781, 588, 13764, 269, 2334, 3742, 960, 568, 1713, 563, 6624, 2043, 649, 9619, 1767, 789, 917, 827, 3987, 543, 922, 3520, 16781, 748, 6397, 2042, 269, 769, 1022, 2013, 267, 789, 4769, 1405, 917, 3648, 811, 982, 602, 563, 299, 19313, 16645, 732, 531, 1767, 1200, 19033, 568, 15847, 543, 1352, 814, 13119, 2943, 1352, 4769, 1405, 1174, 602, 1352, 568, 538, 8594, 563, 19285, 2731, 729, 3274, 10213, 513, 13959, 269, 594, 1767, 267, 1412, 2006, 267, 621, 1131, 581, 3520, 16781, 748, 14322, 594, 2968, 15847, 267, 2014, 594, 917, 4986, 827, 621, 10086, 257, 1352, 1767, 563, 22492, 626, 5261, 670, 9007, 267, 945, 11479, 513, 2229, 9963, 14643, 12394, 547, 811, 11593, 2232, 3987, 267, 1577, 721, 917, 606, 9000, 540, 11009, 814, 585, 3833, 930, 942, 1044, 606, 3390, 563, 257, 2467, 616, 1318, 1472, 513, 4627, 2929, 2043, 945, 723, 840, 26817, 3449, 543, 676, 2484, 1034, 540, 873, 723, 1100, 23319, 827, 602, 789, 616, 538, 8594, 585, 3987, 2437, 670, 9007, 1767, 269, 834, 306, 15036, 602, 17774, 3166, 538, 519, 1857, 4791, 7156, 10243, 729, 602, 3987, 814, 3622, 1044, 2938, 607, 513, 4791, 3390, 269, 1924, 596, 1205, 3987, 543, 26063, 596, 1205, 5701, 585, 707, 3987, 269, 1703, 781, 513, 2348, 606, 1764, 593, 1448, 540, 2070, 1631, 602, 3987, 568, 547, 513, 3152, 4110, 513, 2686, 3390, 4799, 30048, 568, 513, 2686, 3390, 269, 901, 568, 513, 2219, 602, 649, 4862, 689, 2043, 649, 14437, 609, 563, 257, 7069, 3158, 1185, 7392, 476, 273, 3987, 543, 2417, 3467, 1250, 4651, 4503, 1010, 1850, 538, 2070, 540, 3987, 269, 4746, 267, 789, 2811, 1312, 8977, 539, 267, 2943, 596, 1223, 2161, 7168, 1454, 3987, 3576, 873, 2437, 1767, 6307, 6480, 2784, 320, 267, 606, 7390, 656, 649, 1558, 593, 519, 588, 13764, 13009, 269, 2701, 814, 2938, 519, 7269, 538, 7392, 476, 273, 3987, 910, 2523, 538, 3214, 563, 19285, 4137, 6044, 11129, 547, 2253, 693, 1753, 543, 594, 4137, 789, 1223, 8415, 2370, 2866, 1256, 538, 3446, 1153, 593, 519, 12406, 602, 513, 9522, 540, 1453, 616, 588, 719, 2437, 1352, 1767, 563, 1103, 7147, 267, 476, 736, 269, 274, 260, 540, 6107, 6502, 476, 1015, 547, 476, 1704, 723, 2597, 267, 607, 8612, 676, 519, 7917, 8381, 9652, 7690, 781, 3557, 540, 25667, 1867, 563, 257, 17357, 335, 18834, 568, 1644, 609, 811, 12918, 543, 7475, 15945, 267, 5397, 28443, 10549, 12725, 269, 4935, 267, 607, 1134, 267, 568, 7392, 476, 273, 3987, 2437, 3220, 269, 5261, 670, 9007, 5143, 721, 269, 834, 3383, 707, 13708, 1076, 540, 3987, 568, 811, 7986, 14322, 596, 2661, 12725, 609, 5397, 28443, 10549, 543, 7944, 15945, 269, 5015, 267, 707, 13708, 1076, 540, 7392, 476, 273, 3987, 568, 2539, 14322, 602, 972, 616, 2407, 948, 2706, 5658, 1115, 12725, 610, 519, 2199, 1141, 596, 21078, 4799, 288, 9251, 19829, 14437, 609, 585, 519, 1650, 693, 8381, 1633, 8235, 5244, 6659, 2147, 19048, 269, 2701, 16761, 547, 3251, 7164, 269, 2701, 6829, 602, 2429, 519, 1279, 2165, 267, 1352, 814, 2938, 602, 606, 2479, 2810, 1297, 540, 19920, 616, 3170, 563, 257, 9961, 2487, 1296, 267, 621, 781, 3274, 14016, 730, 269, 6145, 649, 1294, 2186, 1120, 691, 2996, 2097, 538, 646, 11998, 269, 1358, 2811, 2597, 344, 543, 267, 543, 621, 3274, 3085, 1405, 1205, 1732, 476, 272, 560, 3446, 476, 273, 526, 1496, 14079, 316, 2437, 1352, 1767, 269, 834, 3383, 596, 11100, 1447, 982, 24974, 4189, 6296, 538, 609, 711, 1373, 6422, 543, 596, 2811, 32249, 543, 596, 2811, 2185, 543, 2947, 267, 3111, 547, 3314, 621, 269, 1879, 596, 2811, 513, 1762, 1268, 267, 596, 786, 581, 646, 11998, 269, 1411, 786, 723, 3987, 4799, 10932, 8345, 1934, 538, 5842, 21293, 2982, 602, 6107, 7392, 476, 273, 3987, 568, 2810, 693, 513, 23892, 2557, 543, 621, 781, 11212, 3196, 995, 269, 11569, 267, 1256, 609, 2126, 267, 1354, 891, 1453, 12446, 693, 1647, 2085, 267, 789, 1223, 723, 1476, 16272, 899, 3308, 15717, 267, 5110, 1023, 267, 610, 581, 593, 31533, 563, 9143, 305, 786, 1867, 547, 513, 3152, 4110, 4724, 713, 1354, 1360, 1279, 538, 519, 3126, 23369, 12128, 269, 8616, 267, 835, 3390, 602, 649, 2811, 4881, 883, 568, 713, 595, 2255, 476, 2420, 910, 7392, 476, 273, 3987, 568, 513, 711, 737, 27570, 19210, 910, 602, 1058, 581, 5701, 811, 538, 513, 3978, 1259, 269, 0, 2414, 1569, 6905, 605, 543, 598, 7440, 267, 2959, 267, 543, 4901, 2055, 827, 2436, 16377, 1058, 581, 3656, 267, 979, 547, 1160, 3519, 3820, 563, 763, 7521, 936, 2436, 16377, 1058, 581, 513, 3656, 4781, 5170, 547, 7941, 4892, 1279, 1310, 519, 2475, 10966, 7040, 779, 476, 278, 268, 273, 3375, 593, 681, 4141, 642, 269, 654, 1228, 10294, 519, 5650, 513, 968, 325, 1495, 4442, 1318, 892, 593, 3967, 269, 476, 2420, 267, 476, 3192, 274, 563, 288, 476, 1001, 279, 3057, 626, 15724, 543, 12928, 2074, 540, 19090, 5619, 1336, 602, 476, 7906, 260, 540, 4892, 2015, 2933, 547, 581, 605, 31547, 267, 543, 476, 4510, 260, 2015, 2933, 547, 581, 605, 3734, 563, 306, 17790, 16377, 630, 10440, 32137, 10826, 1777, 720, 610, 12511, 10826, 1777, 720, 264, 568, 519, 1034, 1455, 1826, 540, 16377, 5650, 269, 898, 3322, 1210, 513, 32137, 3926, 547, 4894, 519, 9115, 540, 513, 9176, 4807, 779, 19786, 269, 13880, 673, 16377, 5340, 2663, 538, 6379, 630, 12898, 476, 1321, 268, 1626, 4374, 264, 568, 1572, 667, 261, 292, 630, 323, 7976, 543, 27549, 1040, 634, 2034, 1034, 1455, 16377, 5650, 267, 513, 2564, 16377, 630, 10440, 606, 968, 629, 10407, 10788, 25257, 3322, 2921, 6527, 267, 2356, 544, 604, 788, 2077, 821, 543, 3765, 641, 15543, 565, 630, 10440, 681, 308, 268, 4366, 277, 1070, 1369, 519, 1101, 5722, 547, 8370, 4374, 540, 6379, 547, 16578, 606, 16377, 269, 634, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 1336, 602, 476, 6858, 260, 540, 705, 25344, 5340, 538, 476, 1001, 275, 941, 5340, 693, 610, 1447, 982, 5216, 4374, 685, 32460, 267, 543, 476, 11011, 269, 276, 260, 941, 5340, 693, 610, 1447, 982, 476, 1724, 4374, 685, 32460, 269, 476, 6507, 269, 274, 260, 941, 5340, 676, 10551, 5650, 267, 1247, 476, 2420, 269, 277, 260, 941, 2564, 705, 25344, 269, 1323, 16377, 666, 1942, 689, 1269, 4335, 547, 936, 1269, 272, 267, 1822, 4470, 593, 1141, 621, 568, 5340, 543, 875, 1279, 883, 519, 6379, 621, 568, 563, 268, 634, 2475, 10966, 7040, 814, 10294, 16377, 547, 581, 513, 4909, 1318, 16798, 676, 519, 2475, 9139, 563, 268, 3115, 8793, 3903, 16877, 2021, 676, 4758, 873, 1852, 936, 741, 1378, 4703, 563, 268, 12287, 3125, 5956, 1310, 513, 21565, 3587, 968, 341, 4192, 892, 630, 762, 547, 7639, 3544, 519, 27042, 264, 610, 1310, 4332, 267, 711, 693, 17748, 563, 268, 674, 564, 4926, 616, 24835, 762, 540, 4743, 1928, 950, 1034, 705, 25344, 616, 5340, 563, 268, 7457, 547, 3656, 267, 24015, 12656, 11526, 705, 25344, 6971, 14774, 5945, 543, 2669, 3361, 676, 22247, 267, 10363, 705, 25344, 563, 268, 7073, 16377, 5773, 616, 2922, 543, 798, 711, 2014, 9434, 1072, 2152, 971, 607, 2860, 543, 26983, 563, 268, 6468, 945, 4309, 705, 25344, 616, 1447, 2693, 547, 7985, 2790, 1072, 2042, 982, 2021, 17792, 705, 25344, 563, 268, 2806, 10407, 3947, 9176, 2021, 519, 4781, 547, 3442, 711, 547, 3142, 10099, 4926, 609, 7096, 17244, 547, 2407, 2165, 563, 268, 6468, 945, 616, 17792, 705, 25344, 616, 811, 2693, 547, 1831, 32014, 267, 547, 581, 593, 1857, 10304, 267, 547, 581, 2630, 519, 6710, 1899, 267, 543, 547, 1831, 9601, 540, 6469, 5208, 563, 268, 3115, 8793, 3903, 14014, 2021, 689, 2883, 19319, 563, 268, 589, 4816, 1058, 711, 2097, 883, 519, 1158, 13311, 563, 268, 2806, 10407, 6971, 10304, 3790, 547, 27710, 16558, 563, 268, 2806, 10407, 6971, 6760, 563, 268, 2806, 10407, 568, 20582, 607, 513, 1797, 540, 2551, 1852, 563, 268, 3509, 3909, 3906, 543, 1004, 540, 5132, 1489, 2021, 779, 10285, 3903, 563, 268, 2806, 10407, 568, 12638, 563, 268, 5020, 5956, 693, 17748, 267, 865, 796, 9799, 9002, 616, 1480, 7919, 609, 513, 1318, 547, 1272, 563, 268, 674, 564, 4926, 1745, 1928, 1282, 519, 16377, 5650, 563, 268, 2806, 10407, 568, 519, 11318, 540, 513, 1480, 1373, 267, 799, 1219, 625, 519, 2262, 540, 2696, 563, 268, 634, 3375, 538, 681, 4141, 642, 269, 654, 1228, 729, 4636, 543, 1058, 581, 16765, 29354, 563, 268, 2806, 25344, 2014, 5626, 3441, 563, 268, 2806, 25344, 2569, 519, 1297, 540, 9772, 762, 9002, 563, 268, 8564, 633, 16377, 1759, 593, 4719, 17244, 630, 324, 1872, 21329, 26694, 264, 568, 16765, 7130, 563, 268, 6468, 1058, 711, 581, 2111, 547, 946, 16377, 607, 513, 1106, 540, 15333, 4003, 563, 268, 1403, 2021, 1831, 9176, 267, 789, 1058, 3398, 519, 5539, 602, 2501, 609, 6721, 513, 1126, 563, 268, 634, 3312, 1257, 540, 519, 26194, 7095, 744, 987, 267, 12926, 3144, 676, 7189, 950, 2220, 8960, 547, 2259, 4915, 31719, 267, 17246, 1749, 16377, 563, 268, 2806, 10407, 8992, 513, 2528, 538, 799, 1480, 1272, 568, 25551, 563, 268, 14190, 532, 16377, 7526, 609, 519, 796, 531, 1329, 762, 1318, 547, 1272, 6444, 676, 519, 5853, 532, 12429, 338, 540, 519, 2136, 2276, 563, 268, 2806, 10407, 25409, 5540, 3979, 1977, 9002, 563, 268, 2806, 10407, 23352, 519, 1761, 6848, 7418, 540, 513, 2104, 1480, 1373, 563, 268, 2806, 10407, 949, 1291, 547, 2104, 2564, 2042, 585, 519, 3993, 563, 1607, 2376, 729, 3370, 593, 2904, 476, 280, 267, 476, 1001, 280, 267, 693, 27429, 779, 1160, 3519, 3820, 267, 513, 1875, 4820, 16388, 3390, 2987, 4146, 2707, 269, 0, 24137, 5253, 4518, 518, 13786, 4850, 454, 24137, 1426, 4600, 616, 3238, 538, 7674, 5561, 538, 14060, 267, 22538, 2678, 5362, 267, 543, 824, 3728, 1426, 19093, 269, 2368, 540, 519, 4600, 616, 9003, 3743, 585, 7674, 1426, 267, 1247, 1866, 22738, 824, 10051, 4247, 899, 8670, 11067, 267, 7738, 519, 27669, 267, 610, 5883, 519, 6666, 4831, 563, 24137, 1426, 19093, 723, 3908, 10624, 1592, 267, 543, 891, 24284, 2356, 4196, 3728, 1426, 543, 824, 15165, 3688, 269, 1452, 19093, 666, 2901, 581, 4189, 17752, 610, 7674, 519, 1491, 2476, 1426, 269, 16258, 1426, 4600, 723, 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 ]
[ 2136, 2276, 798, 596, 1589, 786, 581, 8348, 547, 979, 547, 2112, 547, 1863, 6480, 8205, 267, 4678, 16129, 267, 543, 26403, 807, 18313, 1765, 29445, 4802, 667, 269, 17619, 630, 6642, 25546, 3393, 264, 0, 306, 691, 648, 267, 513, 23784, 547, 2817, 22127, 267, 568, 476, 1556, 1296, 883, 519, 1788, 602, 568, 6059, 786, 12732, 476, 1839, 1296, 269, 634, 23031, 814, 7307, 547, 7001, 27610, 2592, 540, 476, 277, 267, 4335, 1114, 3662, 2249, 865, 2484, 269, 1261, 814, 827, 476, 277, 267, 1822, 811, 547, 979, 563, 1103, 513, 2487, 5925, 5967, 609, 18610, 5794, 267, 590, 691, 648, 5143, 5967, 518, 6833, 787, 24162, 602, 646, 11147, 519, 2831, 538, 519, 18638, 607, 10353, 547, 538, 2470, 547, 2285, 873, 3160, 2956, 547, 13588, 269, 901, 1259, 267, 782, 519, 7068, 786, 581, 9763, 609, 519, 1482, 2463, 563, 28317, 17834, 27516, 568, 1169, 3787, 607, 32219, 607, 606, 17707, 267, 543, 513, 20259, 27134, 568, 1169, 3787, 607, 2462, 543, 1271, 607, 513, 20259, 2223, 590, 691, 648, 1767, 563, 763, 1292, 3804, 540, 519, 27763, 1788, 568, 547, 948, 8190, 519, 20304, 540, 519, 2831, 590, 691, 648, 11147, 267, 1082, 540, 799, 616, 13155, 610, 593, 519, 2357, 613, 540, 14486, 269, 590, 691, 648, 1767, 602, 5310, 519, 2241, 23609, 18995, 1142, 3662, 543, 5521, 779, 5898, 786, 948, 1004, 1416, 811, 827, 741, 20304, 563, 32481, 476, 1724, 267, 1822, 2831, 616, 1179, 4327, 547, 581, 538, 5054, 971, 607, 18186, 657, 267, 6864, 926, 4548, 267, 543, 7320, 11222, 7740, 269, 5221, 540, 741, 9542, 547, 3425, 267, 971, 2831, 616, 711, 1932, 2352, 547, 8523, 269, 1358, 616, 3006, 2016, 13000, 1282, 22534, 547, 8897, 1022, 13253, 563, 306, 691, 648, 21593, 2324, 593, 519, 1788, 855, 849, 1767, 646, 7959, 3833, 513, 3787, 540, 2604, 547, 1205, 1919, 2944, 563, 14881, 917, 540, 693, 2547, 2185, 610, 2947, 2831, 1631, 602, 616, 519, 1360, 2063, 540, 741, 2186, 538, 519, 1158, 779, 18186, 657, 543, 594, 4076, 3893, 547, 1205, 547, 873, 267, 543, 621, 1797, 594, 6557, 8854, 782, 519, 942, 267, 543, 2899, 594, 1205, 972, 594, 4076, 3893, 547, 798, 519, 1158, 779, 1655, 4605, 540, 713, 3662, 1354, 621, 779, 4503, 2507, 7536, 3891, 4422, 593, 547, 13712, 1585, 1806, 540, 2831, 538, 1114, 2477, 267, 1354, 4946, 912, 29467, 779, 6266, 540, 1806, 899, 602, 267, 513, 2603, 540, 5017, 2523, 269, 20002, 543, 27738, 269, 589, 2603, 540, 873, 616, 1524, 547, 519, 2063, 3283, 267, 865, 594, 786, 581, 7494, 17212, 1386, 950, 782, 713, 568, 2944, 267, 855, 594, 4137, 1776, 476, 1428, 1296, 610, 865, 267, 602, 779, 1018, 621, 779, 2469, 547, 1491, 269, 3143, 2339, 1018, 267, 594, 6557, 2469, 547, 1205, 621, 2944, 952, 594, 666, 1869, 798, 621, 267, 952, 594, 666, 1869, 3802, 543, 2911, 543, 9496, 3034, 12640, 6866, 646, 26088, 519, 1788, 267, 621, 568, 8197, 513, 4190, 1259, 585, 8103, 547, 3565, 547, 519, 11091, 540, 971, 8748, 7068, 563, 763, 17421, 18206, 568, 1631, 2139, 585, 513, 19599, 20522, 3902, 693, 8835, 269, 5192, 707, 5299, 2221, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6872, 454, 599, 454, 32504, 271, 269, 32542, 275, 454, 1794, 692, 18814, 547, 519, 15340, 692, 293, 692, 275, 692, 293, 692, 273, 692, 284, 692, 284, 692, 271, 269, 6872, 692, 271, 269, 6872, 692, 599, 692, 1314, 692, 266, 692, 266, 692, 271, 269, 275, 4097, 692, 271, 269, 32542, 275, 692, 1794, 692, 1794, 692, 293, 692, 274, 692, 15187, 3196, 692, 284, 6567, 815, 674, 815, 674, 692, 271, 269, 6872, 692, 272, 692, 1314, 692, 266, 692, 271, 269, 32542, 275, 692, 266, 674, 692, 273, 692, 266, 674, 692, 274, 692, 1794, 692, 266, 674, 692, 275, 692, 271, 269, 4510, 274, 1691, 589, 313, 692, 275, 692, 9943, 692, 284, 815, 476, 272, 269, 278, 1839, 277, 20842, 301, 692, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951, 692, 292, 631, 31515, 543, 28298, 20514, 692, 16215, 476, 272, 692, 299, 15145, 11872, 476, 276, 692, 10521, 5536, 1142, 540, 2527, 2048, 332, 685, 543, 2348, 513, 5279, 2048, 336, 685, 4172, 331, 4861, 616, 17735, 676, 513, 5569, 540, 3259, 2048, 331, 685, 689, 513, 1455, 1448, 269, 8058, 602, 1142, 5569, 2306, 267, 609, 519, 7299, 606, 5086, 16564, 2016, 676, 692, 22069, 780, 11927, 692, 274, 692, 15184, 692, 336, 692, 273, 692, 284, 692, 272, 692, 266, 16009, 692, 273, 16564, 692, 1626, 692, 332, 6921, 692, 11027, 692, 273, 692, 15770, 692, 271, 692, 763, 3196, 540, 1065, 13955, 1063, 519, 1079, 5536, 568, 692, 5804, 692, 548, 692, 302, 3722, 692, 293, 25883, 336, 692, 273, 692, 275, 692, 11027, 15770, 692, 263, 692, 5723, 692, 2020, 273, 692, 9474, 1315, 476, 273, 815, 630, 5430, 476, 3445, 6567, 16564, 3738, 561, 9474, 815, 476, 273, 561, 5609, 16564, 3245, 552, 336, 333, 630, 272, 264, 476, 273, 674, 815, 7117, 476, 275, 12631, 15770, 476, 271, 630, 476, 273, 476, 273, 5609, 561, 16564, 3738, 476, 273, 692, 284, 692, 336, 692, 1626, 692, 11027, 15770, 692, 271, 692, 331, 692, 273, 692, 7562, 692, 273, 692, 15184, 692, 284, 5609, 692, 15184, 692, 263, 273, 2020, 263, 272, 2020, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951, 692, 292, 631, 31515, 543, 28298, 20514, 692, 16215, 476, 272, 692, 299, 15145, 11872, 476, 276, 692, 28274, 19748, 328, 779, 11532, 693, 1448, 2048, 288, 685, 674, 692, 16936, 692, 284, 692, 263, 692, 7562, 476, 3445, 1341, 476, 3445, 692, 15184, 2020, 263, 692, 7562, 476, 3445, 692, 266, 15184, 2020, 293, 692, 7562, 15184, 692, 284, 692, 16936, 692, 6523, 15184, 692, 27802, 23082, 2048, 293, 685, 689, 552, 336, 333, 263, 273, 2020, 7117, 476, 273, 8406, 815, 476, 1626, 12631, 15770, 476, 271, 561, 476, 273, 5609, 476, 274, 16564, 5430, 16564, 1775, 1547, 552, 7117, 476, 273, 815, 5609, 476, 274, 16564, 476, 1421, 476, 1626, 12631, 15770, 476, 271, 561, 476, 273, 8406, 5430, 16564, 1775, 7117, 476, 273, 815, 5609, 476, 274, 16564, 1547, 552, 476, 1421, 5430, 476, 1626, 12631, 15770, 476, 271, 544, 6921, 476, 273, 5430, 476, 274, 16564, 16009, 476, 274, 16564, 815, 3813, 476, 273, 16564, 1547, 1775, 552, 7117, 476, 273, 815, 16009, 476, 274, 16564, 476, 1421, 476, 1626, 12631, 15770, 476, 271, 544, 6921, 476, 273, 476, 272, 1341, 16009, 476, 273, 16564, 692, 273, 16564, 692, 476, 280, 269, 898, 568, 2838, 547, 3180, 1614, 3160, 1448, 10997, 1341, 336, 1142, 693, 11466, 693, 519, 15174, 540, 606, 31164, 6906, 269, 4855, 519, 1448, 5279, 799, 786, 798, 713, 568, 5116, 693, 519, 8998, 540, 519, 6906, 269, 3752, 563, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951, 692, 292, 631, 31515, 543, 28298, 20514, 692, 16215, 476, 272, 692, 299, 15145, 11872, 476, 276, 692, 4131, 519, 2838, 5279, 693, 519, 8998, 581, 2048, 268, 336, 685, 6236, 519, 4229, 9117, 593, 1022, 835, 5279, 2161, 2048, 272, 685, 1813, 547, 782, 824, 10997, 267, 519, 4611, 695, 1245, 581, 4642, 585, 11466, 780, 273, 692, 336, 454, 293, 454, 23751, 1321, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 273, 454, 336, 454, 293, 454, 23751, 1724, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 320, 454, 270, 476, 273, 454, 320, 454, 270, 476, 273, 454, 320, 454, 20067, 21591, 23751, 23751, 271, 454, 6523, 1789, 454, 274, 270, 476, 273, 454, 274, 454, 272, 454, 274, 454, 336, 336, 454, 293, 454, 23751, 1691, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 272, 454, 336, 336, 454, 293, 454, 23751, 1691, 454, 273, 454, 320, 454, 275, 12631, 15770, 454, 274, 692, 4263, 11466, 2473, 1341, 962, 815, 476, 271, 1763, 6295, 519, 4229, 2059, 2473, 543, 962, 692, 312, 692, 273, 476, 273, 692, 2473, 815, 6567, 7117, 476, 275, 12631, 15770, 513, 476, 273, 6567, 476, 275, 7117, 12631, 15770, 513, 476, 273, 5430, 2568, 476, 271, 1341, 815, 476, 273, 6567, 7117, 6567, 7117, 476, 273, 476, 272, 1341, 476, 274, 7117, 336, 722, 366, 476, 274, 815, 476, 275, 12631, 15770, 513, 476, 279, 7117, 12631, 15770, 513, 476, 273, 476, 273, 1496, 6567, 476, 275, 476, 273, 12631, 15770, 7117, 513, 6567, 476, 273, 7117, 476, 273, 1341, 476, 274, 476, 275, 12631, 15770, 513, 476, 274, 7117, 722, 366, 9948, 476, 273, 476, 273, 815, 476, 279, 476, 274, 7117, 12631, 15770, 513, 476, 273, 1496, 6567, 7117, 6567, 7117, 9948, 476, 274, 722, 366, 476, 274, 7117, 336, 722, 366, 476, 271, 476, 273, 7117, 476, 271, 815, 5609, 476, 1789, 6567, 5609, 476, 2568, 476, 275, 12631, 15770, 513, 476, 273, 476, 275, 12631, 15770, 513, 476, 273, 692, 284, 692, 284, 692, 273, 454, 274, 7117, 336, 722, 366, 454, 272, 7117, 454, 274, 454, 275, 12631, 15770, 454, 320, 454, 273, 476, 273, 454, 275, 12631, 15770, 454, 320, 454, 273, 476, 273, 454, 274, 7117, 454, 336, 454, 336, 722, 366, 6629, 454, 273, 454, 279, 454, 11027, 15770, 454, 320, 454, 274, 454, 6629, 7117, 336, 722, 366, 454, 273, 454, 320, 454, 275, 12631, 15770, 454, 274, 692, 6523, 1789, 692, 271, 692, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951, 692, 292, 631, 31515, 543, 28298, 20514, 692, 16215, 476, 272, 692, 328, 4318, 1421, 692, 311, 1341, 962, 815, 476, 271, 692, 299, 15145, 11872, 476, 276, 692, 274, 7117, 454, 314, 454, 2639, 274, 7117, 454, 336, 454, 336, 6567, 454, 274, 454, 336, 722, 366, 30492, 336, 722, 366, 6629, 454, 273, 454, 273, 454, 279, 12631, 15770, 454, 320, 454, 279, 454, 11027, 15770, 454, 320, 454, 274, 454, 336, 454, 336, 454, 274, 454, 336, 454, 12664, 32504, 336, 454, 12664, 6629, 454, 284, 476, 271, 454, 274, 454, 272, 454, 314, 454, 2639, 336, 454, 272, 454, 32504, 23751, 336, 722, 366, 476, 272, 454, 32504, 274, 454, 274, 454, 274, 454, 32504, 272, 454, 314, 454, 2639, 6629, 7117, 454, 23751, 336, 722, 366, 476, 272, 454, 32504, 274, 454, 274, 454, 336, 454, 336, 722, 366, 21591, 274, 454, 6629, 7117, 454, 336, 722, 366, 21591, 274, 692, 284, 476, 271, 692, 1015, 269, 898, 568, 2838, 547, 3180, 2185, 3160, 1448, 10997, 1341, 336, 693, 11466, 693, 519, 7944, 540, 513, 4009, 269, 4855, 519, 1448, 5279, 799, 786, 798, 713, 952, 5116, 693, 519, 8998, 540, 519, 4009, 780, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951, 692, 292, 631, 31515, 543, 28298, 20514, 692, 16215, 476, 272, 692, 22069, 780, 299, 15145, 11872, 476, 276, 692, 4131, 519, 2838, 5279, 581, 7117, 31419, 693, 519, 8998, 540, 519, 4009, 269, 15328, 18790, 519, 4229, 9117, 593, 1022, 835, 5279, 2161, 2048, 272, 685, 1813, 547, 782, 824, 10997, 519, 25739, 1590, 581, 4642, 585, 11466, 780, 328, 4318, 1421, 692, 273, 454, 336, 454, 293, 454, 23751, 18692, 6629, 476, 272, 1535, 454, 994, 1321, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 273, 454, 336, 454, 293, 454, 23751, 18692, 6629, 476, 272, 586, 454, 994, 1691, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 273, 454, 336, 454, 293, 454, 23751, 1724, 454, 18692, 994, 273, 454, 275, 454, 11027, 15770, 454, 273, 513, 692, 273, 692, 336, 454, 293, 454, 23751, 1428, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 273, 454, 273, 7117, 336, 722, 366, 454, 23751, 273, 454, 275, 12631, 15770, 454, 320, 454, 273, 454, 273, 454, 336, 454, 272, 1535, 336, 454, 273, 7117, 336, 722, 366, 454, 311, 454, 284, 6567, 454, 272, 1535, 454, 6523, 3393, 454, 271, 30492, 1321, 454, 273, 454, 273, 454, 273, 454, 275, 12631, 15770, 454, 320, 454, 279, 12631, 15770, 454, 320, 454, 275, 12631, 15770, 454, 320, 454, 273, 454, 273, 454, 336, 454, 336, 454, 272, 7117, 336, 454, 273, 454, 272, 454, 23751, 32504, 273, 454, 273, 454, 273, 454, 275, 454, 11027, 15770, 454, 320, 454, 279, 454, 11027, 15770, 454, 320, 454, 275, 454, 11027, 15770, 454, 320, 454, 273, 454, 273, 454, 273, 454, 6629, 7117, 454, 273, 7117, 454, 273, 7117, 336, 722, 366, 454, 271, 454, 312, 21591, 7562, 476, 3393, 454, 271, 30492, 7562, 476, 3393, 454, 273, 454, 273, 454, 275, 454, 11027, 15770, 454, 320, 454, 273, 476, 279, 454, 11027, 15770, 454, 320, 454, 275, 12631, 15770, 454, 320, 692, 284, 692, 273, 454, 273, 454, 336, 454, 336, 454, 272, 454, 273, 454, 336, 336, 454, 272, 454, 32504, 273, 454, 273, 454, 273, 454, 275, 454, 11027, 15770, 454, 320, 454, 279, 454, 11027, 15770, 454, 320, 454, 273, 454, 275, 454, 11027, 15770, 454, 320, 454, 273, 692, 4263, 11466, 2473, 1341, 962, 815, 476, 271, 692, 6523, 3393, 692, 271, 692, 273, 454, 273, 454, 273, 454, 273, 454, 6629, 7117, 454, 336, 454, 336, 336, 722, 366, 454, 336, 454, 336, 454, 336, 336, 722, 366, 454, 266, 30492, 32504, 275, 12631, 15770, 454, 273, 454, 273, 454, 273, 454, 273, 454, 320, 454, 273, 476, 279, 454, 273, 454, 11027, 15770, 454, 320, 454, 273, 454, 273, 454, 11027, 15770, 454, 320, 454, 275, 12631, 15770, 454, 320, 454, 273, 476, 279, 454, 273, 454, 11027, 15770, 454, 320, 454, 273, 454, 273, 454, 11027, 15770, 454, 320, 454, 336, 454, 314, 454, 2639, 273, 454, 273, 454, 336, 454, 336, 454, 32504, 275, 454, 336, 454, 12664, 6629, 454, 273, 454, 273, 454, 336, 454, 336, 454, 32504, 275, 454, 336, 722, 366, 454, 284, 476, 271, 454, 273, 454, 279, 454, 273, 454, 11027, 15770, 454, 320, 454, 275, 454, 273, 454, 336, 454, 273, 454, 336, 454, 32504, 279, 454, 336, 454, 12664, 21591, 271, 454, 18692, 994, 273, 454, 336, 454, 273, 454, 273, 454, 32504, 272, 454, 336, 722, 366, 21591, 279, 454, 273, 454, 273, 454, 32504, 272, 454, 23751, 336, 454, 275, 692, 284, 476, 271, 269, 280, 4792, 7117, 7117, 12664, 815, 6567, 271, 269, 4817, 277, 336, 595, 692, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951, 692, 284, 692, 271, 692, 292, 631, 31515, 543, 28298, 20514, 692, 16215, 476, 272, 692, 299, 15145, 11872, 476, 276, 692, 289, 269, 594, 1547, 10468, 601, 23950, 267, 661, 4753, 267, 10648, 305, 3951 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 288, 7784, 568, 17991, 19794, 883, 513, 3625, 540, 3574, 609, 454, 21346, 544, 815, 476, 272, 269, 4343, 4846, 693, 1964, 593, 513, 6094, 454, 1817, 714, 7267, 6656, 2047, 1657, 621, 267, 607, 3254, 538, 519, 4137, 454, 763, 16886, 814, 513, 2527, 540, 476, 736, 269, 278, 575, 543, 16716, 519, 3625, 609, 3432, 642, 815, 476, 24062, 544, 4882, 563, 1692, 1164, 786, 519, 3625, 4473, 883, 519, 2011, 1310, 519, 16886, 3587, 11251, 538, 621, 888, 288, 476, 31405, 4846, 23625, 7974, 2458, 1938, 609, 519, 15493, 1439, 540, 513, 454, 20720, 271, 4846, 27974, 650, 659, 11074, 693, 513, 2699, 1769, 269, 634, 29424, 619, 9376, 267, 519, 454, 3630, 7719, 616, 19526, 267, 543, 519, 1079, 6517, 1236, 573, 4464, 476, 275, 269, 5780, 544, 1354, 454, 288, 7128, 11464, 267, 6616, 602, 519, 11664, 540, 15452, 11508, 1063, 519, 18646, 543, 519, 4155, 568, 476, 271, 269, 4343, 277, 267, 21410, 519, 3432, 540, 519, 23625, 7974, 693, 1764, 563, 1432, 729, 602, 3432, 888, 306, 1460, 2147, 10833, 630, 288, 1700, 293, 264, 616, 7620, 23510, 538, 519, 2318, 454, 323, 3925, 2059, 513, 11508, 1652, 8880, 2627, 693, 513, 3432, 540, 454, 1015, 544, 4882, 269, 3973, 513, 2121, 8880, 3196, 267, 849, 538, 519, 2318, 454, 323, 3925, 267, 568, 4294, 547, 1142, 4216, 585, 513, 1974, 540, 476, 1015, 7643, 563, 763, 13999, 540, 519, 10833, 543, 519, 2121, 8880, 3196, 585, 1142, 2013, 454, 732, 2016, 2630, 563, 305, 1678, 519, 10833, 538, 1931, 540, 2810, 674, 2562, 3201, 11610, 269, 2334, 568, 267, 2322, 1101, 519, 4216, 609, 519, 10545, 3803, 11610, 267, 543, 2322, 2063, 519, 4216, 609, 519, 4102, 3803, 11610, 563, 2252, 645, 568, 10545, 267, 1287, 589, 267, 595, 267, 667, 267, 543, 6368, 661, 568, 4102, 267, 4283, 645, 3722, 14701, 563, 9616, 281, 952, 3803, 4090, 320, 616, 3160, 267, 1287, 4283, 1346, 2665, 538, 519, 1931, 7396, 563, 288, 264, 674, 815, 476, 1789, 715, 269, 1547, 1547, 1547, 1547, 1547, 631, 815, 476, 1428, 4846, 454, 289, 264, 674, 815, 476, 3199, 715, 269, 1547, 1547, 1547, 1547, 1547, 631, 815, 476, 1015, 4846, 454, 290, 264, 674, 815, 476, 3583, 715, 269, 1547, 1547, 1547, 1547, 1547, 631, 815, 476, 1428, 4846, 454, 291, 264, 674, 815, 476, 4037, 715, 269, 1547, 1547, 1547, 1547, 1547, 631, 815, 476, 1428, 4846, 454, 292, 264, 674, 815, 476, 4817, 715, 269, 1547, 1547, 1547, 1547, 1547, 631, 815, 476, 1839, 4846, 454, 293, 264, 674, 815, 476, 8099, 715, 269, 1547, 1547, 1547, 1547, 1547, 631, 815, 476, 1015, 4846, 454, 13706, 606, 681, 299, 5547, 609, 4187, 476, 7918, 3852, 358, 543, 32366, 766, 476, 18231, 544, 295, 5116, 538, 3126, 563, 5416, 264, 1403, 513, 476, 280, 13305, 6007, 568, 4448, 547, 519, 5547, 267, 875, 1279, 1131, 454, 527, 1491, 519, 1699, 547, 3914, 476, 1015, 544, 288, 888, 6357, 264, 1548, 568, 519, 6453, 6749, 2066, 519, 1802, 2758, 693, 713, 942, 888, 18794, 4258, 1375, 5530, 543, 1205, 912, 10817, 3660, 1837, 3435, 2813, 676, 4258, 1375, 4966, 454, 9596, 689, 1900, 8386, 9912, 3435, 585, 476, 280, 267, 1822, 9499, 538, 4569, 267, 3163, 267, 7177, 267, 6355, 543, 811, 454, 2190, 270, 278, 5530, 6435, 454, 9172, 9955, 538, 513, 32521, 689, 4966, 543, 1641, 12439, 782, 19496, 1279, 0, 14240, 540, 875, 345, 520, 538, 2296, 912, 14112, 2989, 1106, 540, 875, 781, 602, 286, 630, 338, 1619, 476, 273, 269, 630, 5408, 875, 272, 1916, 268, 6468, 524, 4459, 4394, 1118, 513, 12334, 585, 13384, 11208, 910, 875, 345, 520, 2336, 268, 1744, 8083, 540, 834, 1692, 345, 520, 10590, 759, 15903, 2066, 513, 19864, 11176, 12334, 607, 932, 21590, 524, 4459, 4394, 10599, 1194, 19108, 585, 11802, 538, 519, 1101, 3803, 540, 519, 2817, 595, 19897, 12875, 24842, 563, 268, 2913, 803, 2307, 952, 513, 1412, 295, 8582, 313, 2969, 286, 262, 3956, 568, 32533, 950, 519, 16835, 2006, 568, 5693, 711, 856, 888, 24552, 602, 22565, 609, 875, 345, 520, 520, 267, 10627, 267, 1490, 520, 267, 3032, 267, 10004, 267, 6159, 341, 520, 267, 1743, 520, 267, 1163, 520, 267, 3170, 267, 6366, 267, 535, 7806, 267, 575, 520, 267, 28594, 520, 267, 11058, 267, 646, 805, 267, 1164, 268, 1002, 267, 4234, 267, 1319, 267, 20974, 267, 1319, 974, 267, 3933, 1206, 518, 7806, 267, 14844, 267, 16080, 520, 267, 1273, 267, 8486, 8584, 1790, 520, 267, 726, 7159, 267, 3531, 267, 929, 520, 267, 15887, 520, 267, 3731, 267, 3731, 2389, 520, 267, 19759, 520, 267, 2893, 267, 1085, 520, 267, 1530, 321, 520, 267, 695, 13741, 520, 267, 695, 520, 267, 1236, 520, 267, 1793, 520, 267, 22883, 267, 10943, 520, 267, 838, 7806, 267, 2493, 267, 5080, 520, 267, 512, 520, 267, 602, 267, 519, 805, 267, 5707, 16519, 2389, 520, 267, 642, 520, 267, 765, 805, 454, 1432, 798, 596, 1265, 4277, 827, 713, 2262, 610, 8360, 888, 4467, 906, 602, 1810, 1405, 15666, 547, 938, 7991, 13832, 949, 581, 15645, 730, 610, 6569, 269, 0, 19324, 2006, 1202, 1235, 513, 27779, 568, 513, 2556, 1797, 540, 642, 785, 1709, 585, 519, 9601, 563, 8253, 607, 3702, 1113, 513, 16771, 267, 855, 513, 6126, 11802, 543, 642, 785, 1709, 20866, 563, 763, 824, 1259, 568, 607, 513, 642, 785, 1709, 540, 519, 23350, 602, 4547, 654, 8882, 9445, 547, 10814, 538, 519, 1101, 1747, 563, 2691, 1352, 1500, 519, 14229, 619, 2490, 547, 1750, 619, 267, 621, 729, 513, 2295, 331, 14823, 4090, 267, 855, 621, 729, 849, 513, 4090, 540, 642, 785, 1709, 563, 288, 2357, 18743, 602, 1223, 723, 3177, 12477, 267, 642, 785, 1709, 267, 543, 7067, 1705, 711, 4755, 563, 3719, 519, 1715, 3840, 22694, 1155, 8959, 547, 2285, 519, 12004, 344, 3464, 741, 642, 785, 1709, 267, 543, 15868, 873, 547, 2611, 538, 4357, 1272, 563, 3891, 6719, 602, 1100, 642, 785, 1709, 729, 2556, 267, 543, 602, 9039, 1223, 581, 540, 1022, 946, 563, 19187, 569, 6956, 267, 602, 14985, 568, 519, 642, 785, 1709, 540, 519, 2347, 3505, 1145, 540, 519, 2123, 1272, 540, 519, 2290, 2696, 563, 24078, 646, 1932, 646, 539, 1652, 540, 1010, 7385, 547, 6432, 547, 519, 642, 785, 1709, 563, 4131, 1562, 949, 581, 3370, 1996, 519, 786, 540, 519, 5856, 950, 3370, 13755, 535, 728, 585, 519, 3483, 540, 642, 785, 1709, 540, 1915, 563, 17218, 476, 1428, 322, 1421, 834, 716, 540, 1285, 27701, 267, 20947, 2437, 689, 5824, 642, 785, 1709, 655, 630, 333, 7631, 894, 642, 785, 545, 26559, 264, 834, 716, 540, 19101, 610, 1285, 27701, 2437, 689, 642, 785, 545, 732, 834, 1729, 1305, 1863, 267, 2482, 3409, 547, 267, 7682, 267, 1285, 3188, 257, 630, 22366, 547, 642, 785, 1112, 320, 834, 516, 1597, 613, 19823, 4440, 689, 642, 574, 546, 545, 732, 834, 1729, 1397, 6392, 2437, 689, 642, 574, 267, 25197, 894, 540, 1471, 834, 4403, 257, 1341, 3597, 540, 546, 545, 699, 834, 1729, 2161, 257, 630, 5408, 546, 2109, 1040, 12791, 834, 3286, 2305, 676, 6169, 267, 8878, 1996, 18594, 675, 257, 568, 1140, 6479, 689, 476, 13932, 271, 338, 269, 0, 296, 1589, 621, 568, 1390, 602, 649, 1205, 713, 1344, 1496, 12671, 2021, 316, 1317, 594, 6415, 7969, 267, 1932, 267, 543, 621, 568, 1250, 6561, 269, 1358, 2141, 2161, 519, 2367, 1705, 713, 543, 519, 2367, 1705, 602, 269, 634, 2367, 1250, 3750, 256, 898, 729, 519, 2021, 945, 1705, 782, 519, 960, 269, 7937, 7083, 267, 9811, 2336, 1432, 1705, 594, 723, 972, 286, 3143, 14077, 269, 1547, 1547, 1547, 898, 729, 513, 2182, 1272, 543, 594, 729, 19914, 269, 1547, 1547, 1547, 594, 5433, 602, 1100, 835, 10523, 538, 713, 2197, 269, 2334, 729, 519, 2462, 3364, 1547, 1547, 1547, 1373, 7166, 543, 12955, 1547, 1547, 1547, 649, 2811, 2469, 547, 513, 2197, 1141, 1100, 835, 10523, 269, 1547, 1547, 1547, 594, 729, 4947, 689, 513, 1272, 540, 4881, 543, 4881, 543, 4881, 2476, 267, 543, 20468, 827, 1373, 7166, 543, 1373, 32170, 2336, 296, 7012, 1405, 12922, 540, 4376, 267, 594, 1185, 1250, 3993, 543, 594, 1185, 1250, 14077, 543, 594, 1185, 1250, 1004, 1547, 1547, 1547, 689, 519, 1482, 2197, 267, 519, 1482, 4884, 602, 594, 3357, 689, 267, 865, 594, 2731, 7012, 1405, 14126, 563, 1103, 519, 12687, 540, 2622, 2782, 594, 267, 606, 9058, 1895, 540, 2021, 32164, 3603, 689, 2342, 547, 519, 2136, 2276, 896, 28191, 699, 2175, 269, 634, 2081, 789, 8359, 547, 15849, 30968, 543, 16174, 2933, 689, 13416, 1977, 2528, 267, 543, 519, 2833, 789, 1185, 15025, 609, 2686, 267, 2797, 267, 543, 2804, 5238, 267, 2709, 3638, 5813, 883, 519, 1184, 540, 2686, 1689, 543, 2021, 781, 2027, 1909, 1369, 621, 269, 901, 1433, 15109, 519, 2984, 540, 476, 1911, 7969, 543, 6014, 19366, 2021, 945, 3710, 2729, 543, 3885, 538, 1715, 3840, 269, 6303, 1693, 0, 1805, 3994, 14768, 543, 12798, 267, 2705, 267, 1611, 1022, 11935, 1223, 581, 1743, 14823, 909, 547, 476, 4029, 5195, 513, 1554, 7532, 1189, 267, 2476, 689, 519, 1764, 7997, 563, 9827, 267, 519, 6426, 5693, 4025, 519, 12567, 540, 3798, 523, 968, 324, 770, 1189, 2223, 2282, 519, 23104, 1014, 10504, 540, 5681, 518, 563, 4407, 594, 729, 6340, 267, 594, 9575, 8289, 540, 513, 13743, 547, 519, 7532, 1189, 563, 16676, 4240, 593, 7532, 1189, 543, 4166, 13351, 6004, 269, 717, 657, 572, 781, 7047, 13652, 1188, 563, 324, 770, 1189, 267, 2066, 519, 10720, 267, 519, 27726, 30917, 540, 717, 611, 4673, 2759, 1055, 741, 2070, 563, 296, 1705, 865, 1034, 786, 5944, 267, 607, 649, 1185, 2907, 3893, 2417, 547, 519, 7532, 1189, 982, 594, 24714, 563, 23804, 713, 547, 581, 2150, 4902, 267, 646, 5828, 1586, 547, 519, 7532, 1189, 538, 3406, 540, 1546, 22911, 563, 4517, 1055, 547, 519, 7532, 1189, 519, 824, 6186, 540, 519, 3532, 642, 1047, 729, 7444, 14656, 538, 593, 873, 563, 14503, 3711, 528, 965, 10361, 267, 519, 9663, 1492, 560, 21282, 540, 513, 11953, 543, 795, 698, 3022, 5032, 267, 21018, 12050, 569, 1055, 547, 7532, 1189, 12544, 2178, 543, 27726, 11064, 563, 2690, 1614, 2395, 519, 12798, 941, 7957, 24461, 267, 689, 519, 7532, 1189, 269, 0, 3682, 1729, 345, 15351, 3676, 1331, 993, 4141, 321, 15633, 267, 3979, 12008, 19210, 543, 5233, 22914, 2670, 1851, 1082, 811, 269, 1452, 3676, 4268, 538, 8515, 267, 2707, 543, 8653, 543, 949, 1860, 519, 1072, 540, 3425, 267, 2371, 543, 824, 2713, 7103, 269, 2368, 3676, 3361, 676, 1486, 9926, 10394, 616, 5266, 22480, 267, 1247, 1866, 616, 23872, 543, 949, 581, 1272, 17116, 14389, 852, 2859, 454, 8649, 4141, 321, 15633, 568, 3361, 676, 513, 1895, 540, 1486, 9926, 10394, 1572, 26878, 617, 2088, 269, 1452, 7103, 694, 4740, 11476, 602, 616, 12842, 676, 8031, 1369, 519, 4703, 540, 14747, 269, 2549, 4141, 321, 15633, 568, 10141, 14456, 689, 835, 11248, 547, 519, 1985, 543, 7575, 1063, 873, 998, 3346, 609, 7783, 28797, 269, 5253, 543, 1216, 5627, 13572, 28797, 616, 519, 1034, 1455, 2409, 540, 6771, 267, 855, 5711, 3346, 609, 7783, 32740, 2339, 949, 2014, 519, 2068, 547, 3262, 1932, 563, 21618, 540, 3968, 1331, 10690, 588, 8962, 267, 28332, 3935, 543, 5732, 1973, 538, 519, 22454, 269, 4340, 547, 2405, 2657, 4880, 267, 19819, 731, 15633, 568, 1776, 2068, 3361, 676, 1486, 9926, 10394, 543, 568, 849, 10299, 676, 13572, 28797, 269, 3979, 12008, 19210, 568, 1776, 1486, 9926, 10394, 2068, 543, 568, 5645, 676, 519, 512, 3553, 572, 8038, 269, 901, 4576, 5540, 3425, 543, 2831, 543, 568, 10299, 547, 7103, 676, 519, 11116, 540, 7783, 13733, 269, 901, 2068, 3123, 4049, 2589, 538, 3425, 267, 1519, 7050, 9854, 543, 14715, 2589, 971, 607, 10539, 267, 771, 528, 1304, 566, 267, 17465, 267, 20026, 267, 2597, 2530, 543, 1793, 13899, 4633, 269, 9596, 811, 827, 17148, 1299, 15302, 454, 305, 515, 15436, 1355, 12263, 267, 2789, 26379, 267, 20461, 543, 1826, 594, 3987, 616, 782, 5156, 547, 581, 16991, 3676, 267, 2687, 547, 5680, 13270, 269, 4033, 16991, 3676, 1331, 15867, 18255, 781, 2068, 267, 667, 816, 2401, 781, 6794, 267, 524, 27112, 2068, 267, 4017, 668, 9234, 22468, 543, 3400, 1407, 262, 2068, 267, 2687, 547, 519, 1977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6206, 7763, 604, 338, 538, 9721, 11470, 454, 2026, 23576, 1657, 267, 972, 616, 16221, 2081, 538, 799, 9721, 4589, 2099, 3084, 3961, 1369, 741, 1568, 269, 1677, 15052, 707, 1620, 540, 891, 5931, 267, 2119, 7114, 18596, 18305, 610, 12572, 2609, 602, 3565, 547, 3677, 5717, 1472, 9721, 1145, 269, 1280, 1383, 1384, 265, 23721, 281, 1215, 1281, 519, 2168, 1604, 3337, 3197, 262, 2631, 540, 1582, 610, 4276, 547, 8581, 286, 6333, 11673, 540, 12902, 3039, 15113, 267, 6159, 1375, 344, 30917, 267, 610, 14297, 4872, 563, 265, 5678, 281, 3657, 22463, 267, 18986, 1682, 267, 610, 30351, 658, 3359, 1031, 547, 6655, 6237, 3604, 610, 1514, 4567, 286, 6496, 519, 946, 540, 2296, 8957, 717, 6130, 545, 4163, 1022, 4644, 888, 265, 9966, 528, 281, 1772, 18792, 6964, 607, 513, 1797, 540, 12003, 609, 14488, 610, 11589, 17140, 2509, 26568, 4229, 888, 265, 15348, 281, 1215, 798, 4589, 4497, 609, 2055, 540, 19525, 267, 22030, 267, 610, 1753, 4341, 286, 9796, 2673, 3007, 547, 8100, 547, 3140, 5515, 267, 5322, 267, 610, 2621, 780, 6962, 912, 9961, 713, 3992, 267, 649, 723, 8268, 519, 1950, 2470, 540, 9721, 3084, 3961, 607, 6719, 538, 14206, 2540, 5708, 269, 1635, 7421, 2824, 15102, 689, 9565, 5931, 899, 772, 569, 1087, 525, 267, 20613, 1746, 585, 2696, 582, 267, 543, 519, 13474, 21989, 959, 559, 9609, 267, 649, 723, 6591, 5813, 883, 519, 15491, 7516, 540, 9721, 1145, 267, 21214, 11585, 267, 1686, 267, 2528, 267, 543, 2418, 269, 5047, 267, 676, 28798, 938, 2702, 547, 5431, 1883, 18305, 543, 6698, 1369, 891, 1568, 267, 649, 666, 3136, 547, 4228, 938, 8223, 540, 9721, 3084, 3961, 2066, 3309, 11964, 543, 23447, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20464, 26192, 31864, 676, 25845, 8619, 3212, 659, 1442, 1496, 22143, 316, 594, 1101, 4121, 827, 519, 1272, 543, 960, 540, 27867, 10601, 5856, 543, 14544, 20152, 28533, 754, 880, 538, 3204, 534, 6755, 531, 10044, 781, 24974, 1353, 540, 2021, 17024, 267, 543, 594, 4312, 1044, 12955, 547, 1224, 513, 12092, 540, 28533, 754, 880, 2479, 2094, 269, 1656, 594, 6415, 538, 9939, 630, 718, 540, 721, 616, 264, 7064, 547, 1979, 19212, 3212, 659, 1442, 269, 589, 1486, 334, 1922, 655, 21442, 267, 2257, 27395, 22082, 267, 543, 8954, 633, 1857, 4137, 267, 28533, 754, 880, 568, 1439, 8393, 4241, 267, 543, 3212, 659, 1442, 781, 26813, 3947, 1200, 519, 11826, 267, 538, 3829, 2126, 602, 1352, 19262, 269, 2443, 306, 2684, 807, 631, 269, 26791, 27140, 676, 7325, 773, 3733, 3205, 1496, 293, 316, 589, 1025, 7875, 689, 24981, 595, 23677, 568, 1175, 827, 782, 621, 3217, 547, 1205, 803, 9599, 827, 513, 1433, 267, 865, 950, 594, 4718, 602, 595, 23677, 1572, 3733, 3205, 781, 5767, 3209, 834, 6921, 7867, 5944, 11213, 2437, 834, 560, 1737, 344, 543, 2312, 2437, 543, 834, 1492, 1433, 1496, 7069, 3205, 316, 729, 5497, 547, 2328, 2437, 594, 729, 4421, 269, 589, 9661, 540, 1148, 267, 8213, 267, 543, 519, 13218, 602, 12622, 11299, 543, 20766, 267, 27140, 14767, 547, 10969, 622, 269, 2443, 306, 5960, 8056, 2664, 2329, 676, 17555, 918, 1941, 321, 1663, 327, 1496, 22143, 316, 9894, 519, 6855, 6146, 2022, 19640, 1143, 286, 1656, 1018, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11847, 6974, 725, 540, 2817, 14740, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 8581, 1315, 476, 736, 628, 11416, 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, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 267, 972, 729, 513, 9589, 1747, 1572, 3163, 6807, 1141, 1004, 5030, 7258, 782, 12204, 540, 5863, 7068, 910, 6158, 5810, 267, 3206, 11608, 267, 543, 1256, 6263, 7919, 1572, 8444, 256, 769, 3163, 6807, 267, 3025, 12038, 741, 1378, 2189, 1893, 267, 855, 789, 941, 782, 15197, 543, 6956, 676, 1142, 824, 780, 3080, 1554, 267, 513, 1895, 540, 2828, 3957, 5981, 630, 320, 7911, 1070, 645, 7578, 630, 320, 8768, 1070, 7605, 2421, 630, 320, 8773, 1070, 543, 2311, 558, 630, 13433, 267, 646, 781, 2731, 1507, 14386, 4941, 547, 1451, 811, 827, 875, 1919, 5249, 1472, 873, 269, 1358, 3357, 2066, 930, 2462, 1913, 899, 1412, 15939, 657, 10086, 1412, 1260, 14658, 640, 10086, 1412, 331, 9155, 540, 2470, 10086, 543, 1945, 9490, 1572, 1412, 1782, 340, 2065, 7130, 9538, 898, 32131, 17559, 267, 865, 789, 4956, 547, 1265, 856, 1018, 621, 5921, 780, 20694, 4280, 267, 834, 1432, 1281, 14784, 1611, 24350, 289, 7578, 12943, 9900, 267, 834, 11039, 267, 4952, 952, 596, 2451, 707, 9162, 16559, 10876, 1354, 2469, 547, 5127, 269, 1879, 596, 12687, 909, 267, 3388, 1131, 581, 30255, 543, 6404, 909, 267, 1318, 286, 2334, 781, 2186, 540, 899, 14784, 4799, 21659, 2421, 3773, 267, 834, 3719, 1810, 1405, 5855, 267, 649, 666, 2141, 2973, 909, 543, 1118, 1919, 6896, 1586, 30882, 4263, 558, 16403, 539, 538, 267, 834, 9617, 899, 950, 594, 1404, 12404, 543, 3343, 3330, 8273, 8631, 267, 3006, 1250, 1158, 4991, 26093, 1932, 269, 1809, 1287, 594, 30337, 8885, 543, 1831, 7123, 1586, 3010, 9202, 267, 789, 9289, 827, 6988, 269, 7605, 2421, 6045, 267, 834, 4467, 14658, 640, 1797, 602, 1945, 814, 1082, 2694, 610, 3268, 269, 1280, 1383, 267, 1818, 3443, 31817, 3322, 11544, 5820, 267, 8022, 519, 3443, 267, 1166, 6235, 519, 3443, 322, 820, 1862, 718, 1346, 2370, 1919, 1927, 1711, 835, 8949, 14254, 15323, 10190, 267, 789, 5941, 4031, 540, 2470, 269, 645, 7578, 1767, 267, 834, 4322, 616, 3652, 602, 948, 721, 1174, 1946, 1919, 4755, 519, 1259, 789, 798, 269, 6145, 8904, 1107, 621, 2306, 2386, 13212, 2887, 1524, 3079, 540, 13735, 1055, 883, 2230, 3010, 7661, 267, 789, 4121, 827, 10409, 7130, 269, 901, 1500, 873, 8909, 1317, 621, 5921, 602, 2576, 7012, 1405, 1373, 5701, 23182, 1175, 1317, 789, 12038, 8335, 269, 4634, 1498, 1169, 13442, 1185, 922, 2189, 1893, 267, 711, 1620, 1142, 824, 12582, 1405, 1291, 547, 10413, 4606, 780, 3383, 267, 789, 10356, 782, 741, 2828, 945, 4810, 10409, 7130, 543, 6026, 873, 2081, 547, 5968, 1732, 1210, 5961, 267, 17267, 267, 543, 8144, 3457, 269, 15526, 3323, 1565, 1007, 4654, 543, 19825, 519, 5898, 540, 4763, 780, 5804, 1287, 593, 267, 8164, 4896, 5185, 7965, 14379, 1813, 547, 10409, 3604, 267, 519, 2828, 540, 3163, 6807, 1131, 7618, 2933, 602, 11587, 267, 9639, 267, 543, 5876, 1223, 8115, 1022, 7934, 1063, 1114, 4654, 269, 1656, 789, 782, 5030, 25747, 2479, 1310, 267, 14120, 741, 9322, 1247, 8508, 741, 22464, 780, 3086, 267, 15210, 26575, 267, 3314, 602, 1256, 1498, 649, 949, 3717, 8335, 267, 2463, 543, 1620, 979, 513, 1279, 1259, 538, 2679, 17052, 543, 2950, 269, 3807, 899, 938, 2828, 538, 3163, 6807, 4362, 267, 1577, 781, 8661, 938, 3604, 543, 960, 1927, 547, 2327, 1100, 835, 7959, 2451, 856, 1317, 540, 875, 789, 2911, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 663, 519, 12287, 454, 2419, 320, 657, 543, 29203, 454, 663, 519, 16572, 540, 7186, 454, 763, 11632, 10064, 13305, 26896, 25076, 1433, 3126, 568, 519, 4829, 540, 513, 3818, 4458, 10319, 1382, 1788, 1063, 519, 1079, 5238, 269, 634, 1788, 543, 519, 18913, 1433, 3126, 1445, 593, 519, 24396, 1523, 540, 10143, 2962, 538, 6935, 547, 4207, 3621, 6436, 269, 3171, 520, 1005, 606, 3486, 2319, 540, 5640, 1519, 21575, 267, 27563, 267, 5778, 27023, 1235, 267, 15806, 267, 543, 31188, 2103, 267, 713, 3126, 2882, 3670, 1071, 1790, 21242, 12531, 281, 2947, 593, 10143, 2962, 543, 606, 22305, 1116, 4320, 267, 8212, 267, 1912, 2812, 4451, 267, 543, 28613, 281, 589, 5871, 2372, 652, 585, 4197, 630, 2735, 279, 1916, 2026, 7917, 3627, 21651, 267, 519, 4937, 15503, 540, 519, 10022, 267, 11339, 538, 1010, 4367, 547, 17747, 15328, 17443, 543, 519, 16572, 540, 7186, 912, 763, 936, 31186, 3804, 540, 891, 19014, 568, 1079, 19507, 281, 547, 3565, 547, 16268, 24396, 1382, 607, 621, 22851, 1699, 1382, 538, 519, 2067, 9443, 543, 547, 8495, 519, 10952, 543, 24396, 2609, 538, 5571, 5376, 16210, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 3907, 2065, 26521, 257, 607, 851, 540, 834, 24719, 13316, 1315, 26521, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 17138, 281, 1215, 547, 5901, 3427, 4675, 15533, 5029, 1242, 692, 30789, 1153, 7727, 6896, 568, 1898, 585, 1053, 540, 782, 6502, 607, 621, 8992, 4398, 267, 6971, 2566, 267, 543, 17990, 942, 10478, 585, 3765, 31419, 3688, 269, 901, 3102, 3391, 786, 1683, 596, 609, 606, 538, 3829, 1620, 540, 12180, 707, 1153, 2326, 3927, 269, 1635, 1739, 891, 3268, 23939, 267, 596, 666, 1711, 513, 1062, 602, 1568, 1655, 585, 596, 2429, 519, 4081, 1032, 780, 2162, 5153, 476, 272, 281, 8178, 2659, 20126, 692, 6524, 4358, 519, 3919, 1184, 267, 1491, 930, 942, 547, 6218, 1018, 1826, 540, 1153, 7727, 596, 723, 543, 741, 9424, 269, 6333, 519, 5396, 596, 616, 2921, 543, 1022, 1808, 2645, 2838, 630, 324, 3052, 1421, 9498, 267, 1148, 2326, 1040, 4197, 707, 2115, 2636, 596, 547, 20688, 707, 10721, 4640, 9935, 780, 7659, 17785, 281, 13207, 13616, 5781, 676, 1167, 8973, 7745, 610, 30694, 3688, 547, 2226, 606, 3608, 29683, 780, 2162, 5153, 476, 273, 281, 7994, 30785, 19554, 10298, 692, 15675, 4859, 3681, 1759, 593, 2139, 2230, 267, 6578, 267, 543, 2123, 13283, 269, 3371, 616, 1896, 2010, 540, 4859, 3435, 547, 2015, 1384, 272, 269, 6755, 4290, 2665, 281, 26758, 585, 1507, 6728, 2044, 899, 23445, 267, 22796, 267, 21971, 619, 267, 543, 17710, 269, 6733, 585, 3283, 609, 2789, 735, 25902, 585, 1732, 11008, 1436, 563, 273, 269, 8571, 518, 3900, 619, 281, 2422, 995, 585, 12180, 3677, 3688, 971, 607, 31940, 267, 12622, 619, 267, 543, 23805, 269, 1452, 948, 11694, 11380, 2721, 518, 4390, 1247, 5329, 9115, 22619, 344, 563, 274, 269, 17125, 1407, 610, 1433, 322, 1162, 281, 3629, 15792, 7299, 4859, 585, 9499, 267, 32766, 267, 543, 824, 4439, 5652, 3688, 269, 1358, 849, 1450, 2653, 1569, 543, 15287, 563, 275, 269, 19554, 25510, 281, 17828, 585, 13936, 12119, 610, 1102, 18526, 1031, 7727, 896, 15135, 610, 3330, 5008, 1115, 269, 22443, 1142, 10822, 5693, 547, 3533, 12398, 922, 9115, 950, 2877, 563, 276, 269, 3683, 7308, 1673, 3233, 21489, 25696, 281, 589, 11684, 3070, 585, 13936, 1585, 3761, 6688, 267, 689, 12508, 547, 15441, 16853, 269, 15439, 13793, 873, 936, 519, 1394, 540, 513, 7450, 610, 3330, 513, 5008, 564, 585, 856, 6361, 1606, 697, 3919, 780, 28223, 281, 8838, 585, 2312, 11149, 8164, 2009, 865, 602, 596, 666, 3362, 1294, 519, 9115, 1510, 2348, 547, 1930, 1169, 4216, 610, 10822, 780, 2162, 5153, 476, 274, 281, 595, 1538, 528, 1125, 27294, 692, 27026, 2147, 7727, 1927, 547, 1118, 4466, 1018, 596, 991, 811, 4674, 1652, 269, 1280, 1383, 267, 1832, 782, 1603, 27022, 538, 835, 1858, 267, 1148, 7727, 538, 1776, 267, 543, 5907, 3457, 538, 513, 3791, 3296, 269, 901, 5849, 602, 3388, 814, 922, 11280, 1747, 267, 4227, 519, 10171, 540, 9561, 1271, 3688, 780, 7659, 17785, 281, 7822, 2275, 1712, 6688, 1210, 29654, 267, 10297, 267, 610, 11954, 30504, 547, 1711, 513, 11617, 13267, 543, 3593, 7888, 3919, 1062, 780, 2162, 5153, 476, 275, 281, 19372, 513, 5071, 730, 3718, 10628, 692, 16352, 513, 6131, 1353, 1858, 7512, 7607, 543, 24024, 19240, 269, 28081, 707, 6896, 1153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3451, 267, 476, 2004, 267, 476, 2568, 267, 476, 3199, 14073, 20701, 3698, 1265, 26000, 336, 17338, 2187, 825, 562, 815, 7003, 17338, 994, 825, 3193, 318, 6352, 284, 272, 454, 825, 1439, 15871, 272, 454, 825, 1948, 11161, 538, 519, 1592, 454, 825, 7173, 17342, 271, 585, 1775, 538, 2039, 3799, 22708, 825, 7173, 314, 271, 316, 15871, 272, 454, 825, 1948, 26319, 693, 1142, 2990, 454, 825, 7003, 318, 810, 6958, 541, 17342, 271, 585, 1775, 538, 2039, 3799, 22708, 825, 7003, 318, 810, 6958, 541, 314, 271, 24557, 272, 692, 825, 1948, 30185, 1142, 1297, 543, 1413, 3297, 547, 2638, 6102, 1878, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 2187, 1038, 7003, 318, 810, 6958, 541, 5157, 24557, 271, 454, 1038, 7173, 5157, 316, 15871, 272, 454, 1038, 585, 795, 538, 2039, 9217, 268, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 952, 7003, 318, 810, 6958, 541, 14728, 27994, 272, 3436, 7003, 318, 810, 6958, 541, 5157, 316, 543, 1592, 14728, 316, 2999, 1592, 5157, 14158, 3546, 1948, 10472, 1297, 2306, 513, 3476, 6102, 775, 454, 3546, 7003, 318, 810, 6958, 541, 5157, 316, 815, 7003, 318, 810, 6958, 541, 14728, 27994, 272, 454, 3546, 7173, 5157, 316, 815, 795, 454, 1038, 952, 7003, 318, 810, 6958, 541, 5157, 316, 3436, 3193, 318, 6352, 912, 2018, 3193, 318, 6352, 815, 7003, 318, 810, 6958, 541, 5157, 2639, 2018, 1439, 284, 328, 454, 825, 13074, 5334, 889, 30084, 815, 11713, 825, 3693, 815, 1439, 454, 825, 1247, 3693, 11203, 910, 272, 912, 1038, 13074, 5334, 889, 30084, 6910, 17338, 314, 324, 2211, 7481, 1038, 3693, 284, 2181, 341, 314, 324, 2211, 6540, 825, 2132, 13074, 5334, 889, 30084, 11468, 18737, 272, 6540, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 1592, 17342, 1626, 267, 476, 1015, 267, 476, 1704, 267, 476, 1240, 267, 476, 280, 267, 476, 271, 267, 476, 273, 267, 476, 866, 267, 476, 275, 267, 476, 274, 267, 476, 272, 267, 476, 1691, 267, 476, 1321, 267, 476, 277, 267, 476, 273, 267, 476, 275, 267, 476, 1556, 267, 476, 276, 267, 476, 866, 267, 476, 275, 2639, 825, 1820, 6600, 785, 26000, 336, 17338, 4917, 0, 258, 5124, 779, 2569, 3890, 28352, 513, 6310, 4480, 1634, 607, 24208, 610, 5786, 563, 258, 674, 1245, 610, 5786, 281, 2569, 513, 1592, 540, 3688, 547, 513, 2582, 19469, 1871, 563, 258, 5124, 779, 2569, 3890, 13333, 593, 1022, 12055, 762, 1765, 2254, 1175, 8638, 11652, 15824, 519, 1739, 3268, 912, 258, 15233, 513, 1599, 630, 528, 1289, 762, 264, 547, 519, 1101, 1079, 3688, 538, 606, 12055, 762, 543, 5352, 513, 9864, 1267, 563, 258, 2422, 602, 9864, 1267, 267, 1927, 609, 519, 3791, 6221, 538, 519, 12055, 762, 267, 547, 5352, 1776, 9864, 1267, 563, 258, 19244, 519, 1184, 2394, 519, 12055, 762, 568, 25356, 543, 1287, 2132, 513, 2582, 19469, 1871, 780, 3698, 2569, 630, 325, 15635, 267, 12055, 762, 267, 3355, 6500, 22561, 2187, 825, 621, 815, 12055, 263, 3438, 762, 994, 825, 952, 3355, 6500, 568, 7183, 912, 1038, 1871, 815, 1985, 263, 527, 994, 825, 3116, 912, 1038, 1871, 284, 30976, 6500, 454, 825, 585, 3693, 538, 621, 912, 1038, 1871, 815, 30775, 263, 7407, 267, 3693, 994, 825, 2132, 1871, 692, 3698, 1250, 318, 5417, 5416, 267, 536, 2187, 825, 2132, 513, 17070, 692, 333, 4548, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1130, 815, 2569, 30044, 318, 5417, 267, 15358, 994, 825, 1820, 263, 1998, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 15608, 568, 519, 3972, 2465, 540, 513, 3972, 1305, 909, 585, 1010, 4651, 269, 7201, 519, 18378, 28521, 8943, 267, 950, 15608, 22316, 519, 5993, 3972, 3454, 2132, 267, 4813, 476, 10441, 272, 267, 646, 454, 288, 269, 18771, 3489, 519, 2854, 10479, 540, 519, 18689, 10706, 1991, 547, 19142, 607, 513, 3454, 2132, 5965, 337, 563, 289, 269, 1772, 711, 2808, 513, 3454, 2132, 5965, 337, 563, 290, 269, 2904, 711, 1129, 519, 2132, 8259, 646, 11392, 3606, 13180, 585, 519, 3454, 2132, 563, 291, 269, 1772, 2808, 513, 3454, 2132, 5965, 337, 1317, 1010, 4651, 568, 519, 9886, 528, 540, 519, 3972, 563, 12585, 281, 645, 0, 9223, 281, 1703, 568, 4986, 538, 519, 2475, 3833, 899, 4563, 11016, 269, 6969, 28813, 593, 13628, 267, 538, 544, 8712, 2066, 519, 2475, 267, 1004, 1376, 6446, 5224, 909, 3544, 519, 19526, 1303, 27509, 540, 8637, 267, 1818, 3476, 543, 3476, 3515, 267, 8066, 19420, 976, 476, 2073, 521, 6235, 6995, 543, 3905, 10217, 267, 27012, 741, 3946, 543, 16826, 532, 567, 741, 3952, 585, 14246, 267, 31113, 10004, 1154, 267, 543, 7996, 585, 519, 804, 518, 802, 547, 1930, 519, 7450, 950, 519, 942, 21128, 269, 4563, 11016, 267, 519, 1554, 1310, 21175, 267, 799, 8593, 593, 8734, 476, 2764, 267, 1001, 275, 267, 834, 13757, 1831, 538, 2487, 5756, 513, 2027, 1977, 9702, 2580, 1767, 519, 4139, 6355, 8648, 269, 11569, 267, 909, 547, 476, 15704, 2929, 4563, 11016, 6300, 11825, 941, 4397, 547, 2322, 909, 609, 519, 4158, 540, 3781, 543, 519, 1714, 28647, 540, 824, 6300, 11825, 865, 602, 789, 1223, 3142, 1753, 930, 20476, 1622, 267, 2687, 547, 519, 2475, 2817, 4825, 841, 18966, 269, 1809, 1946, 1281, 519, 10918, 13037, 723, 971, 513, 2012, 286, 634, 2012, 729, 1101, 1031, 538, 15740, 538, 519, 476, 3192, 271, 338, 269, 634, 10754, 543, 2427, 19789, 802, 540, 519, 2749, 2968, 865, 14095, 609, 6808, 543, 24921, 593, 519, 1554, 1310, 21175, 4303, 602, 519, 2199, 7128, 1705, 711, 1413, 4464, 547, 621, 269, 5221, 540, 713, 267, 789, 1572, 519, 1554, 834, 14937, 11016, 2580, 1767, 634, 670, 4428, 15838, 5403, 269, 1717, 267, 1866, 3494, 602, 4563, 11016, 3217, 922, 2012, 689, 519, 1249, 602, 1317, 540, 519, 2333, 538, 6455, 593, 519, 1554, 267, 15945, 616, 2111, 585, 519, 1101, 942, 538, 519, 1032, 547, 1847, 856, 540, 519, 834, 1042, 257, 910, 602, 568, 267, 7963, 910, 543, 883, 519, 834, 18872, 2580, 610, 7443, 269, 24371, 267, 540, 1576, 267, 2119, 547, 1491, 5413, 540, 713, 1554, 269, 589, 8717, 3516, 267, 21625, 567, 8118, 693, 476, 276, 610, 476, 277, 993, 269, 3767, 267, 1082, 540, 519, 2462, 8637, 1930, 693, 28813, 269, 4658, 2731, 3100, 547, 899, 519, 2898, 1995, 540, 6446, 5224, 909, 1354, 28813, 267, 834, 1721, 621, 3884, 1405, 1175, 827, 519, 20476, 1622, 2580, 7074, 23711, 269, 834, 2690, 1082, 6300, 11825, 267, 621, 781, 1175, 1187, 547, 581, 851, 540, 513, 1804, 15624, 269, 8409, 945, 979, 547, 519, 544, 8712, 693, 28813, 616, 9141, 676, 519, 1482, 3364, 602, 2306, 513, 2929, 1004, 1205, 1927, 538, 8648, 12384, 1142, 1715, 5729, 781, 18832, 1701, 6904, 540, 519, 1739, 6898, 827, 4563, 11016, 568, 13138, 16604, 888, 288, 269, 898, 568, 513, 2027, 1554, 538, 519, 2475, 593, 799, 2229, 3946, 856, 19420, 976, 547, 5561, 563, 289, 269, 898, 568, 513, 10918, 13037, 538, 519, 2475, 602, 8813, 593, 519, 2034, 11016, 1310, 21175, 563, 290, 269, 898, 814, 1044, 513, 2757, 1977, 9702, 2094, 519, 15713, 540, 519, 4182, 563, 291, 269, 898, 568, 606, 4316, 585, 4892, 547, 1205, 1919, 789, 1616, 693, 513, 1454, 2539, 3902, 563, 12585, 281, 667, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 6263, 24388, 3697, 4401, 2879, 1251, 9934, 2780, 834, 536, 834, 24388, 3697, 2879, 1251, 9934, 6263, 4401, 2780, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 1548, 729, 519, 2012, 540, 519, 4936, 4155, 602, 21401, 689, 667, 1478, 267, 13573, 267, 3592, 547, 1744, 4319, 338, 12064, 267, 1744, 549, 23137, 267, 513, 3845, 540, 476, 27088, 5998, 630, 1220, 5195, 25145, 12585, 281, 6149, 8265, 737, 550, 0, 9223, 281, 8891, 324, 814, 513, 9126, 609, 476, 1015, 27371, 269, 476, 2412, 260, 616, 4544, 543, 519, 1964, 616, 2699, 269, 3571, 3659, 786, 4123, 1864, 1079, 4544, 27371, 585, 1169, 2699, 835, 269, 1403, 8891, 324, 8952, 476, 272, 2699, 18899, 267, 875, 1082, 2698, 27371, 1281, 646, 723, 1310, 9467, 609, 1010, 3659, 888, 12585, 281, 1261, 6238, 609, 476, 275, 4544, 27371, 1317, 476, 1015, 1535, 1547, 275, 815, 24177, 1015, 29688, 275, 284, 275, 9563, 275, 476, 2568, 260, 540, 519, 27371, 616, 2699, 1317, 476, 1911, 910, 476, 2412, 815, 24177, 1911, 268, 2412, 284, 2568, 9563, 2568, 1261, 814, 476, 277, 2699, 27371, 1317, 476, 1015, 1535, 1547, 277, 815, 24177, 1015, 29688, 277, 284, 277, 9563, 277, 1261, 23194, 476, 276, 2699, 27371, 1317, 476, 277, 910, 476, 272, 815, 24177, 277, 268, 272, 284, 276, 9563, 276, 1261, 4991, 476, 1015, 4544, 27371, 1317, 476, 276, 1535, 476, 273, 815, 24177, 276, 265, 273, 284, 1015, 9563, 1015, 1261, 814, 476, 1428, 27371, 1631, 1317, 476, 275, 1341, 476, 272, 1341, 476, 1015, 815, 24177, 275, 266, 272, 266, 1015, 284, 1428, 9563, 1428, 634, 2626, 568, 476, 1428, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1434, 3339, 20695, 2895, 24191, 10538, 4095, 24564, 834, 536, 834, 1434, 10538, 4095, 2895, 24191, 3339, 20695, 24564, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 2368, 1004, 1589, 602, 789, 723, 606, 2626, 547, 519, 2042, 540, 18914, 7715, 3429, 543, 5533, 538, 1804, 4872, 269, 4256, 2626, 568, 519, 17919, 267, 610, 11332, 269, 769, 513, 1390, 1082, 4872, 267, 7366, 540, 1004, 11878, 30158, 547, 960, 1169, 1554, 269, 769, 1715, 3840, 4975, 267, 930, 11332, 26348, 723, 1256, 4646, 513, 1895, 1572, 834, 289, 833, 585, 513, 14568, 4975, 2668, 1358, 3409, 602, 952, 811, 1004, 887, 1372, 30158, 547, 960, 972, 1131, 581, 7864, 9041, 538, 519, 25708, 3296, 540, 519, 2749, 543, 4061, 1447, 18660, 2011, 689, 1286, 9817, 269, 1280, 1896, 1296, 713, 1895, 814, 1044, 3843, 547, 1205, 2749, 2229, 547, 948, 17919, 26348, 269, 1280, 1383, 267, 789, 1616, 519, 2749, 547, 5862, 2027, 28961, 734, 1721, 30158, 1152, 734, 517, 930, 540, 519, 1292, 10754, 267, 1317, 950, 17919, 26348, 1590, 946, 519, 1482, 28961, 607, 6517, 267, 972, 949, 581, 10913, 269, 834, 289, 833, 585, 513, 14568, 4975, 257, 7959, 602, 952, 972, 941, 2027, 28961, 267, 811, 1004, 1131, 946, 21891, 269, 1809, 1100, 17919, 28961, 723, 1044, 13556, 2943, 269, 3502, 3025, 14659, 621, 568, 513, 1434, 2856, 269, 12525, 328, 10256, 1810, 1405, 899, 519, 2856, 734, 16269, 2161, 621, 786, 3500, 6808, 269, 2368, 4558, 5411, 593, 519, 1292, 10754, 1810, 1405, 899, 519, 2856, 734, 16269, 2161, 602, 952, 972, 568, 1447, 6808, 267, 789, 786, 723, 1447, 1870, 269, 1656, 1034, 1004, 2661, 1932, 2484, 689, 25708, 547, 2951, 676, 11332, 269, 634, 2749, 2229, 814, 711, 2943, 4956, 1018, 547, 798, 269, 898, 6499, 547, 1832, 3025, 6126, 269, 2201, 32300, 267, 6239, 5244, 734, 1492, 4102, 1930, 1747, 538, 1715, 3840, 734, 529, 6806, 547, 6517, 267, 543, 519, 9897, 949, 581, 1031, 676, 30158, 1152, 269, 1809, 834, 289, 833, 585, 513, 14568, 4975, 257, 3081, 602, 713, 568, 711, 2614, 543, 8952, 8165, 547, 1205, 17919, 28961, 25708, 269, 19402, 602, 4523, 267, 519, 32343, 1747, 547, 17919, 949, 581, 538, 519, 6288, 269, 3143, 17919, 28961, 723, 1044, 13556, 2943, 1317, 567, 9041, 476, 4586, 288, 269, 519, 2749, 2229, 666, 1405, 948, 547, 5862, 519, 28961, 454, 289, 269, 519, 1292, 10754, 616, 711, 2647, 2614, 454, 290, 269, 519, 2856, 3884, 1405, 7608, 676, 782, 454, 291, 269, 972, 781, 1100, 991, 585, 1034, 1004, 547, 2951, 676, 11332, 454, 12585, 281, 595, 0, 28415, 519, 1964, 540, 519, 5311, 267, 1818, 2386, 602, 519, 24324, 616, 6806, 5265, 269, 8528, 19152, 281, 2715, 630, 1496, 2715, 7684, 2999, 3436, 9948, 12467, 476, 932, 7860, 281, 3097, 288, 269, 12467, 289, 269, 23378, 290, 269, 28825, 291, 269, 7684, 454, 292, 269, 3738, 12467, 293, 269, 3738, 23378, 294, 269, 3738, 28825, 295, 269, 3738, 7684, 454, 296, 269, 9948, 12467, 297, 269, 9948, 23378, 298, 269, 9948, 28825, 299, 269, 9948, 7684, 454, 300, 269, 3436, 12467, 301, 269, 3436, 23378, 302, 269, 3436, 28825, 303, 269, 3436, 7684, 454, 304, 269, 7684, 12467, 305, 269, 7684, 23378, 306, 269, 7684, 28825, 307, 269, 7684, 7684, 454, 308, 269, 3738, 3738, 12467, 309, 269, 3738, 3738, 23378, 310, 269, 3738, 3738, 28825, 311, 269, 3738, 3738, 7684, 454, 312, 269, 3738, 9948, 12467, 313, 269, 3738, 9948, 23378, 20479, 281, 667, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 16907, 529, 729, 14084, 547, 14844, 26474, 269, 2334, 10571, 1705, 1118, 1200, 855, 1413, 2484, 269, 476, 1809, 646, 4941, 547, 2057, 1018, 888, 288, 269, 476, 1373, 17991, 454, 289, 269, 476, 8373, 454, 290, 269, 476, 10413, 4606, 454, 291, 269, 476, 14968, 454, 292, 269, 476, 1373, 1336, 856, 454, 12585, 281, 290, 0, 7617, 2242, 519, 1604, 286, 18147, 10448, 4677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5266, 3677, 10153, 16371, 8514, 10904, 982, 818, 551, 6950, 269, 1284, 849, 8947, 519, 2009, 2360, 540, 2732, 593, 3448, 10153, 16371, 8514, 1400, 2627, 1858, 2066, 782, 2249, 6594, 269, 1403, 513, 3152, 3448, 10153, 16371, 8514, 1400, 2627, 1858, 2636, 585, 1732, 7020, 540, 4922, 24797, 2200, 267, 649, 2503, 547, 1294, 3152, 10153, 16371, 8514, 1400, 2627, 1858, 538, 2831, 602, 3548, 811, 9451, 24260, 3536, 269, 17968, 267, 952, 10153, 16371, 14169, 3252, 811, 547, 3713, 513, 4763, 540, 1426, 2200, 267, 649, 2503, 2249, 609, 9631, 16622, 5387, 11326, 630, 3467, 1875, 268, 591, 974, 24260, 3536, 264, 547, 723, 3152, 5666, 540, 10153, 16371, 8514, 1400, 2627, 1858, 269, 7053, 267, 649, 9916, 519, 1198, 540, 20173, 593, 3448, 7929, 8514, 1400, 2627, 1858, 2066, 782, 2249, 269, 9717, 602, 7929, 8514, 10904, 4217, 538, 3002, 543, 1216, 12802, 267, 649, 10567, 602, 2249, 2713, 693, 2362, 4234, 6421, 630, 514, 21617, 16374, 264, 1131, 723, 5266, 3152, 7929, 8514, 1400, 2627, 1858, 982, 1346, 2713, 693, 2539, 4234, 6421, 563, 8368, 476, 272, 269, 6341, 9482, 2249, 609, 2404, 1560, 2450, 267, 8514, 1400, 12068, 4320, 543, 2627, 1858, 7403, 454, 28694, 2527, 630, 11899, 994, 20597, 1638, 3259, 630, 7825, 994, 2419, 600, 828, 4320, 630, 7825, 274, 994, 24927, 4016, 547, 28008, 1031, 547, 2697, 2798, 538, 8431, 338, 476, 273, 268, 275, 282, 3023, 568, 631, 267, 5256, 267, 674, 267, 4775, 267, 772, 267, 7164, 282, 2732, 568, 966, 267, 9451, 24260, 267, 966, 21610, 309, 267, 9451, 24260, 270, 12061, 268, 591, 974, 24260, 267, 543, 715, 309, 267, 1875, 268, 591, 974, 24260, 269, 570, 4811, 288, 267, 2698, 8514, 1400, 2627, 1858, 282, 681, 4811, 288, 543, 744, 4811, 288, 616, 519, 6059, 2627, 2127, 2139, 585, 7929, 13423, 3559, 807, 543, 10153, 16371, 13423, 3559, 807, 267, 6606, 630, 5408, 1257, 1040, 6480, 13846, 1560, 13999, 616, 689, 8055, 1696, 620, 269, 630, 1220, 274, 264, 543, 14355, 1696, 620, 269, 630, 1001, 271, 5148, 15693, 13080, 616, 7873, 2643, 984, 29569, 543, 941, 3144, 689, 3059, 2592, 540, 519, 15693, 338, 1210, 3239, 329, 269, 901, 729, 711, 2009, 585, 519, 5256, 772, 3464, 639, 7819, 639, 607, 519, 4336, 3046, 729, 711, 7298, 563, 4692, 529, 20461, 818, 551, 657, 454, 4692, 529, 20461, 22678, 13704, 328, 454, 288, 2698, 540, 476, 4343, 15693, 338, 941, 1085, 10165, 602, 838, 10165, 476, 736, 2249, 630, 4289, 539, 538, 25417, 6176, 1040, 15661, 941, 6074, 547, 12732, 513, 2039, 540, 1560, 7306, 267, 11326, 267, 543, 4234, 6421, 267, 607, 1134, 607, 547, 2099, 3454, 21978, 4560, 269, 769, 1034, 2665, 267, 1142, 2249, 729, 6719, 676, 1079, 2937, 15693, 338, 267, 835, 5256, 543, 835, 4775, 269, 12726, 7306, 941, 28653, 676, 519, 8101, 13258, 543, 4074, 3238, 538, 6721, 543, 7421, 519, 18767, 269, 769, 519, 2013, 540, 519, 12457, 18896, 267, 649, 849, 3769, 2043, 689, 3982, 9249, 267, 519, 818, 8157, 28849, 2052, 529, 20461, 818, 551, 657, 543, 11204, 28849, 2052, 529, 20461, 22678, 13704, 328, 269, 1284, 3769, 1079, 2249, 602, 649, 2808, 2048, 9895, 328, 268, 614, 14111, 8730, 519, 1977, 544, 1074, 630, 10468, 990, 2581, 1471, 517, 264, 543, 519, 8701, 7703, 630, 308, 3464, 639, 2261, 527, 574, 639, 1070, 1247, 649, 16934, 2048, 9895, 328, 8584, 638, 1738, 685, 2249, 267, 971, 607, 519, 5757, 17333, 614, 630, 299, 2632, 571, 666, 611, 18424, 1040, 4014, 715, 269, 1471, 517, 543, 772, 269, 2261, 527, 574, 639, 7669, 4749, 267, 789, 3049, 543, 6108, 606, 3573, 2179, 540, 942, 593, 2244, 269, 1635, 4334, 267, 700, 269, 666, 611, 18424, 729, 16934, 689, 938, 1353, 1317, 621, 585, 1137, 3592, 14311, 538, 1216, 543, 938, 3105, 1353, 630, 309, 534, 966, 1779, 523, 15734, 1696, 620, 269, 476, 1001, 272, 264, 4951, 602, 621, 1185, 6825, 569, 9450, 7929, 8514, 10904, 3448, 547, 18714, 666, 6134, 338, 269, 4787, 1638, 338, 941, 5697, 952, 789, 941, 3552, 2275, 4381, 4079, 609, 1134, 12873, 8514, 10904, 607, 9763, 689, 519, 5007, 562, 4100, 269, 1284, 5833, 1164, 22822, 17223, 29821, 630, 16281, 6311, 264, 18767, 540, 15693, 338, 609, 20105, 1297, 8151, 689, 5111, 476, 4335, 1700, 1220, 271, 21100, 269, 2353, 18767, 941, 2944, 676, 519, 2160, 540, 7147, 670, 10135, 307, 11120, 1006, 630, 10674, 2517, 4178, 269, 551, 18350, 269, 613, 334, 269, 1393, 343, 553, 12975, 270, 264, 543, 616, 3015, 693, 8940, 6155, 580, 574, 6973, 3820, 563, 2414, 1449, 585, 3604, 2404, 609, 2732, 267, 649, 9286, 2249, 883, 835, 540, 1614, 6688, 2687, 547, 519, 3448, 8167, 540, 9451, 24260, 543, 1875, 268, 591, 974, 24260, 630, 17852, 267, 29068, 264, 3536, 538, 741, 11326, 281, 630, 328, 264, 9451, 24260, 1107, 3436, 476, 3583, 260, 30900, 538, 741, 2732, 282, 630, 4512, 264, 9451, 24260, 270, 12061, 268, 591, 974, 24260, 1107, 476, 2004, 1700, 3583, 260, 30900, 609, 519, 3666, 1875, 268, 591, 974, 24260, 3536, 282, 610, 630, 13839, 264, 1875, 268, 591, 974, 24260, 1107, 2999, 476, 2004, 260, 9451, 24260, 609, 1875, 268, 591, 974, 24260, 3536, 2392, 558, 3215, 269, 19032, 729, 1759, 593, 1344, 3177, 538, 14355, 1696, 620, 269, 630, 1220, 280, 264, 607, 1134, 607, 5892, 3370, 9382, 630, 309, 534, 966, 1779, 523, 15734, 267, 476, 2735, 279, 1040, 1284, 5431, 602, 891, 616, 9425, 3376, 6688, 267, 855, 811, 1808, 6688, 630, 324, 3052, 269, 5521, 643, 5387, 267, 1507, 5288, 269, 1804, 10352, 12665, 264, 1131, 723, 8507, 538, 1360, 1507, 3732, 7306, 269, 769, 1840, 267, 946, 540, 513, 6024, 2268, 267, 971, 607, 519, 2600, 540, 30900, 538, 519, 2732, 267, 568, 32601, 2016, 2157, 540, 703, 6652, 24594, 8192, 8390, 1369, 9631, 16622, 2803, 269, 5047, 267, 891, 610, 2147, 6688, 723, 9863, 3730, 538, 1991, 9382, 540, 8192, 19916, 538, 11864, 630, 309, 534, 966, 1779, 523, 15734, 267, 476, 2735, 279, 282, 476, 1960, 272, 267, 27213, 1696, 620, 269, 476, 1220, 278, 1916, 2171, 8268, 519, 7681, 1063, 20173, 543, 8514, 1400, 2450, 1210, 519, 4087, 540, 7001, 6592, 593, 519, 19494, 16776, 630, 11045, 15659, 6176, 7305, 590, 273, 1040, 1284, 849, 1705, 513, 811, 5386, 8397, 2079, 540, 519, 3310, 540, 2916, 676, 9236, 3448, 8514, 1400, 2627, 1858, 1063, 1614, 8424, 540, 11078, 26908, 602, 941, 3769, 1317, 789, 2291, 538, 3982, 9249, 281, 818, 8157, 16541, 630, 309, 592, 6647, 18848, 22455, 264, 5288, 269, 6539, 16541, 630, 309, 592, 6647, 5672, 8527, 529, 1070, 11204, 630, 4692, 529, 20461, 22678, 13704, 328, 264, 5288, 269, 818, 8157, 630, 290, 269, 561, 269, 818, 551, 657, 264, 12457, 18896, 267, 543, 8701, 7703, 630, 308, 3464, 639, 2261, 527, 574, 639, 264, 5288, 269, 17680, 3960, 569, 7703, 630, 308, 269, 818, 551, 657, 1916, 10574, 593, 8514, 1400, 2450, 585, 519, 818, 551, 1355, 2249, 616, 3144, 689, 11709, 966, 1779, 523, 15734, 1696, 620, 269, 630, 1001, 272, 1040, 1280, 519, 666, 1749, 267, 649, 4553, 519, 1482, 7014, 607, 4330, 972, 855, 1031, 13147, 923, 476, 1691, 269, 271, 630, 300, 1468, 1047, 267, 5549, 4700, 476, 274, 8820, 14839, 3301, 2864, 982, 993, 4275, 630, 14106, 720, 24919, 1040, 1677, 13182, 602, 13147, 923, 543, 993, 4275, 3132, 6697, 9193, 540, 2627, 1858, 267, 649, 6027, 519, 2627, 1858, 543, 4320, 540, 513, 1167, 540, 1634, 7516, 609, 1142, 3301, 1982, 269, 634, 3017, 1063, 519, 3292, 729, 8766, 267, 543, 3976, 649, 946, 1312, 1982, 7403, 30430, 563, 10303, 8514, 1400, 7633, 616, 5393, 6094, 267, 621, 568, 1419, 2352, 547, 10646, 873, 689, 4282, 2157, 540, 2048, 7224, 1047, 685, 538, 11632, 18767, 267, 799, 2306, 3067, 2305, 5393, 2352, 269, 1306, 538, 11709, 966, 1779, 523, 15734, 1696, 620, 269, 630, 1001, 272, 1070, 649, 1101, 4294, 4334, 3908, 13261, 27008, 3160, 1436, 630, 290, 6369, 4047, 282, 27454, 267, 476, 2735, 280, 264, 547, 2087, 519, 1377, 540, 4334, 1063, 8514, 10904, 543, 4282, 6846, 267, 1247, 4509, 4334, 8699, 538, 824, 2694, 540, 519, 18767, 269, 634, 4824, 2592, 941, 1287, 16865, 547, 13147, 923, 585, 3067, 2305, 630, 5408, 25417, 6176, 1040, 1306, 538, 11709, 966, 1779, 523, 15734, 1696, 620, 269, 630, 1001, 272, 264, 649, 6027, 519, 2698, 4320, 540, 519, 12068, 8027, 519, 8514, 10904, 630, 20135, 12068, 4320, 267, 570, 20302, 264, 543, 2698, 8514, 1400, 2627, 1858, 630, 307, 4811, 288, 1040, 634, 2698, 2627, 1858, 540, 519, 8514, 10904, 729, 1287, 5258, 883, 519, 13980, 8655, 547, 2901, 7929, 610, 10153, 16371, 1599, 267, 6606, 269, 9986, 16371, 8514, 1400, 2627, 1858, 630, 302, 4811, 288, 264, 3769, 519, 2040, 4364, 1858, 540, 519, 2802, 332, 582, 7875, 10904, 543, 13439, 582, 7875, 10904, 267, 6466, 7929, 8514, 1400, 2627, 1858, 630, 305, 4811, 288, 264, 3769, 1152, 519, 3193, 650, 582, 7875, 10904, 269, 898, 568, 1271, 547, 4063, 602, 2698, 2802, 332, 582, 7875, 1400, 2627, 1858, 949, 21467, 560, 1493, 519, 6708, 540, 10153, 16371, 13423, 26375, 269, 2876, 1670, 2090, 540, 5697, 11864, 723, 3254, 602, 519, 6708, 540, 3795, 540, 519, 2802, 332, 582, 7875, 10904, 676, 10444, 11940, 6242, 9775, 1851, 2249, 630, 305, 578, 324, 1696, 620, 269, 476, 1220, 276, 282, 8055, 1696, 620, 269, 476, 1220, 278, 320, 14720, 267, 476, 1001, 272, 267, 476, 1001, 273, 1040, 1717, 267, 713, 568, 7339, 730, 538, 851, 676, 519, 1249, 602, 649, 1705, 711, 1331, 519, 17725, 31027, 636, 267, 799, 568, 1419, 13148, 4988, 538, 10444, 13423, 26375, 630, 29834, 1696, 620, 269, 476, 1220, 278, 320, 14720, 1040, 4595, 713, 1353, 6212, 593, 13354, 9382, 543, 711, 6207, 7403, 267, 649, 8263, 602, 519, 21467, 560, 11582, 540, 2627, 1858, 568, 2147, 2066, 782, 2249, 543, 3976, 1281, 711, 12517, 1860, 519, 14496, 540, 3444, 6741, 2886, 16198, 269, 769, 930, 2516, 267, 519, 2802, 332, 582, 7875, 10904, 8831, 18751, 569, 543, 2693, 3565, 547, 14555, 6273, 2011, 630, 324, 3052, 269, 28516, 267, 8055, 1696, 620, 269, 476, 1220, 278, 320, 14720, 282, 543, 16835, 267, 8055, 1696, 620, 269, 476, 1001, 273, 1040, 1717, 267, 538, 938, 1353, 540, 666, 6134, 338, 267, 649, 1336, 513, 2312, 8901, 9668, 1063, 519, 2802, 332, 582, 7875, 10904, 543, 3193, 650, 582, 7875, 10904, 602, 15260, 999, 721, 602, 938, 3800, 2992, 6198, 9668, 269, 11086, 267, 519, 8990, 540, 6207, 7403, 540, 10153, 16371, 5288, 269, 7929, 8514, 1400, 2627, 1858, 3340, 1277, 1670, 2079, 540, 519, 17725, 12068, 267, 513, 4305, 602, 729, 3564, 519, 9165, 540, 519, 1699, 1788, 563, 2414, 1852, 585, 519, 2360, 540, 1560, 2450, 267, 649, 8947, 519, 18440, 540, 8514, 1400, 2627, 1858, 609, 1560, 2527, 267, 15693, 3259, 267, 543, 8514, 1400, 12068, 4320, 1210, 2845, 20675, 11526, 5276, 1036, 11306, 269, 10610, 2527, 568, 1419, 9053, 585, 2090, 540, 875, 8219, 4336, 609, 2810, 2450, 1317, 621, 568, 513, 811, 1463, 8086, 540, 2698, 10894, 7569, 982, 513, 5276, 2268, 540, 519, 22403, 269, 1717, 267, 1560, 5888, 267, 971, 607, 519, 8167, 540, 3170, 547, 4887, 267, 666, 4268, 7494, 1851, 2249, 543, 21372, 713, 2078, 269, 5047, 267, 649, 1185, 547, 946, 2249, 1611, 1560, 13999, 3144, 689, 519, 3332, 630, 8368, 476, 272, 264, 1317, 519, 1560, 2527, 540, 519, 2043, 1031, 538, 713, 1353, 941, 7164, 269, 1284, 1705, 723, 19494, 10391, 15693, 3259, 1239, 267, 543, 15693, 3259, 30417, 519, 1966, 540, 1804, 3170, 14425, 2810, 2527, 1510, 2348, 606, 1198, 593, 20258, 7516, 269, 1717, 267, 972, 949, 581, 513, 9186, 1813, 547, 3604, 538, 11132, 17114, 1851, 2249, 267, 971, 607, 2348, 513, 1279, 607, 10353, 547, 513, 2110, 2879, 719, 269, 7053, 267, 12068, 4320, 949, 723, 513, 811, 1463, 6935, 547, 8514, 1400, 2627, 1858, 269, 5221, 519, 17725, 12068, 3568, 519, 8514, 10904, 630, 663, 2370, 3116, 1070, 7403, 540, 12068, 4320, 1058, 581, 1034, 3810, 17047, 609, 2627, 1858, 7403, 269, 2201, 519, 824, 1688, 267, 6313, 18440, 3347, 1210, 12068, 4320, 607, 513, 21285, 585, 1560, 2450, 568, 711, 4998, 1317, 4320, 949, 4268, 585, 15693, 338, 540, 2147, 3259, 610, 4703, 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 ]
[ 677, 17338, 629, 514, 17903, 2745, 2891, 307, 731, 320, 19203, 4939, 338, 5302, 1495, 657, 19203, 257, 4939, 263, 5503, 28333, 3890, 268, 11034, 22710, 17903, 2745, 2891, 4467, 334, 3932, 1714, 1558, 29081, 11188, 7750, 9508, 11486, 3089, 564, 1965, 1454, 334, 11792, 4028, 334, 6446, 1714, 3921, 523, 600, 1304, 334, 2234, 1460, 14744, 2745, 2891, 4596, 19616, 10691, 288, 281, 3288, 1011, 545, 30685, 632, 524, 3385, 1558, 29081, 586, 3616, 541, 30685, 1609, 320, 679, 635, 550, 926, 657, 1642, 13798, 15282, 630, 333, 3385, 632, 2941, 3511, 586, 890, 3258, 267, 547, 4777, 911, 3027, 18480, 11188, 11465, 513, 812, 334, 282, 586, 320, 6446, 1609, 657, 3921, 523, 600, 1304, 657, 1100, 5067, 632, 11465, 1313, 18319, 264, 14744, 258, 28350, 514, 5964, 0, 3698, 3276, 25975, 10937, 17338, 320, 8029, 825, 585, 1003, 335, 553, 3385, 538, 2039, 12759, 17338, 320, 9984, 272, 267, 271, 16427, 272, 8029, 1038, 585, 1775, 538, 2039, 3799, 2794, 553, 3385, 8029, 2018, 1820, 3799, 2794, 553, 3385, 264, 1948, 7224, 632, 2041, 3352, 267, 1965, 21088, 16948, 3308, 714, 541, 15255, 32488, 27885, 1477, 2018, 952, 30458, 5157, 316, 285, 4289, 320, 5157, 266, 272, 316, 6769, 3546, 10917, 815, 30458, 5157, 15947, 3546, 30458, 5157, 24557, 4289, 320, 5157, 266, 272, 15947, 3546, 30458, 5157, 266, 272, 316, 815, 10917, 1477, 825, 2132, 30458, 5897, 3698, 1202, 2075, 542, 17338, 320, 8029, 825, 1003, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 12759, 17338, 320, 264, 8029, 1038, 27089, 867, 523, 541, 815, 30458, 5157, 15947, 1038, 1247, 30458, 5157, 268, 272, 316, 3436, 27089, 867, 523, 541, 543, 1775, 3436, 476, 271, 6769, 2018, 1003, 6834, 476, 272, 1477, 2018, 1820, 16325, 3418, 2018, 30458, 5157, 3910, 30458, 5157, 268, 272, 316, 815, 30458, 5157, 268, 272, 3910, 30458, 5157, 15947, 2018, 1775, 815, 1775, 910, 476, 272, 1477, 825, 2132, 30458, 5897, 3698, 694, 548, 764, 542, 17338, 320, 8029, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 320, 264, 8029, 1038, 11792, 318, 701, 638, 523, 334, 284, 1775, 476, 1948, 531, 332, 659, 523, 32115, 1714, 27089, 11792, 890, 4302, 25123, 632, 3288, 1064, 20601, 1642, 6152, 513, 911, 321, 1690, 541, 1477, 1038, 1820, 9217, 3418, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 17338, 320, 264, 8029, 2018, 952, 17338, 320, 14728, 316, 2999, 30458, 314, 5733, 318, 701, 638, 523, 334, 316, 8029, 3546, 11792, 318, 701, 638, 523, 334, 815, 795, 1477, 1038, 952, 1295, 568, 711, 1775, 6769, 2018, 30458, 5157, 3910, 30458, 314, 5733, 318, 701, 638, 523, 334, 316, 815, 30458, 314, 5733, 318, 701, 638, 523, 334, 316, 2073, 30458, 5157, 15947, 825, 2132, 30458, 5897, 4289, 320, 272, 284, 1496, 5325, 267, 274, 267, 2641, 267, 3953, 269, 6321, 267, 10844, 15947, 2745, 2891, 18404, 29081, 3276, 25975, 10937, 281, 834, 3418, 2745, 6357, 7875, 340, 10937, 17338, 320, 272, 17903, 2745, 2891, 18404, 29081, 632, 1202, 2075, 542, 14744, 2745, 263, 1231, 2075, 542, 17338, 320, 272, 17903, 2745, 2891, 18404, 29081, 632, 694, 548, 764, 542, 14744, 2745, 263, 572, 548, 764, 542, 17338, 320, 272, 264, 10142, 2745, 2891, 4467, 334, 3932, 267, 16339, 1132, 632, 476, 273, 32488, 27885, 23313, 3288, 30458, 844, 20364, 635, 334, 1412, 314, 274, 267, 2641, 267, 5325, 267, 3953, 267, 6321, 267, 10844, 316, 262, 694, 721, 6759, 1714, 544, 18863, 29081, 3276, 25975, 10937, 586, 320, 6446, 679, 3288, 32488, 3385, 476, 272, 4086, 6759, 476, 5325, 598, 476, 274, 586, 17485, 17685, 3711, 328, 6759, 267, 679, 3288, 5302, 1495, 320, 32488, 3385, 4086, 6759, 476, 5325, 598, 476, 2641, 586, 3138, 17685, 25995, 267, 546, 18372, 635, 334, 1267, 5964, 3288, 18751, 30458, 14744, 258, 28350, 514, 5964, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 18851, 20479, 16453, 1436, 21602, 12163, 5814, 11885, 607, 5286, 7531, 3698, 16801, 5332, 768, 263, 313, 267, 18325, 267, 12498, 267, 552, 27432, 2187, 825, 5727, 257, 10472, 1599, 7024, 513, 28348, 3977, 12163, 825, 579, 815, 2098, 32557, 263, 9471, 284, 271, 994, 825, 521, 273, 815, 2098, 269, 12534, 263, 9471, 284, 271, 994, 825, 2098, 17884, 815, 630, 313, 910, 579, 264, 1315, 630, 338, 273, 1341, 552, 27432, 264, 2878, 630, 272, 270, 273, 994, 825, 31626, 815, 18325, 2608, 2098, 17884, 1341, 12498, 454, 825, 2132, 31626, 454, 0, 3698, 30775, 10031, 825, 1297, 272, 815, 703, 9272, 2891, 11767, 3689, 1100, 1701, 4917, 825, 1297, 273, 815, 703, 9272, 2891, 11767, 5822, 1100, 1701, 11723, 825, 952, 28840, 272, 2608, 1297, 273, 3436, 1911, 271, 2187, 1038, 1820, 28840, 272, 1341, 1297, 273, 994, 825, 3116, 912, 1038, 1820, 28840, 272, 2608, 1297, 273, 2020, 325, 15635, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 918, 1923, 21566, 272, 5416, 264, 815, 5788, 6440, 6440, 815, 21566, 333, 5416, 14587, 815, 918, 272, 267, 21566, 273, 267, 5788, 6440, 6440, 267, 21566, 333, 348, 815, 23794, 2340, 488, 484, 918, 1141, 590, 815, 2715, 17385, 272, 267, 21566, 273, 267, 5788, 6440, 6440, 267, 21566, 333, 10926, 27893, 780, 1892, 3980, 478, 320, 267, 536, 17995, 674, 267, 21566, 328, 5416, 1341, 536, 264, 815, 1496, 17385, 328, 568, 513, 2361, 4630, 31532, 316, 21566, 328, 5416, 264, 1341, 21566, 328, 6357, 264, 815, 1496, 320, 267, 536, 17995, 674, 316, 21566, 329, 5416, 264, 1341, 21566, 329, 6357, 264, 815, 1496, 17385, 329, 568, 513, 2361, 4630, 31532, 316, 21566, 329, 5416, 1341, 536, 2020, 1892, 21566, 328, 5416, 5788, 536, 264, 815, 21566, 328, 5416, 264, 5788, 21566, 328, 6357, 264, 815, 21566, 329, 5416, 264, 5788, 21566, 329, 6357, 264, 815, 21566, 329, 5416, 5788, 536, 1040, 4475, 267, 1312, 519, 2040, 543, 1587, 540, 1079, 6378, 2798, 267, 513, 1341, 536, 267, 513, 6440, 321, 616, 6378, 2798, 780, 1892, 21566, 328, 5416, 268, 272, 264, 815, 1496, 299, 655, 2742, 269, 589, 1895, 4630, 31532, 28933, 538, 951, 525, 316, 630, 17385, 328, 5416, 4297, 268, 272, 815, 1496, 17385, 328, 5416, 264, 815, 21566, 329, 5416, 13580, 630, 17385, 329, 5416, 4297, 268, 272, 815, 21566, 329, 5416, 268, 272, 264, 2340, 18568, 513, 268, 272, 568, 513, 6378, 1448, 267, 910, 320, 616, 1312, 538, 951, 525, 896, 1114, 4238, 269, 4501, 492, 692, 258, 6201, 692, 13434, 718, 269, 2913, 674, 581, 513, 2361, 267, 1577, 918, 543, 700, 581, 1079, 10137, 4610, 540, 674, 269, 14597, 14668, 17995, 918, 568, 15821, 936, 674, 269, 2913, 21566, 281, 918, 9890, 700, 581, 606, 674, 3620, 558, 31532, 540, 4610, 269, 3973, 267, 21566, 263, 10382, 264, 568, 15821, 936, 674, 267, 1932, 267, 543, 922, 9048, 3027, 1043, 9971, 936, 674, 568, 519, 1482, 607, 519, 9048, 3027, 1043, 9971, 540, 14668, 936, 674, 780, 1892, 918, 815, 4399, 13992, 346, 304, 32710, 6912, 314, 274, 31765, 273, 348, 29408, 700, 815, 21508, 480, 267, 4399, 6912, 314, 274, 31765, 273, 4151, 568, 519, 1483, 13306, 3597, 540, 476, 273, 267, 543, 530, 513, 18642, 3791, 3597, 540, 9322, 780, 2252, 21566, 281, 918, 9890, 700, 568, 513, 2361, 4630, 31532, 267, 1287, 21566, 263, 7445, 6912, 314, 274, 31765, 273, 4151, 264, 1590, 581, 4399, 6912, 314, 274, 31765, 273, 9574, 1422, 6912, 314, 274, 31765, 273, 348, 342, 267, 349, 610, 349, 1422, 6912, 314, 274, 31765, 273, 348, 342, 317, 273, 10608, 1269, 17385, 7268, 6912, 314, 274, 31765, 273, 348, 7751, 814, 519, 1482, 9048, 3027, 1043, 9971, 936, 21508, 504, 607, 4399, 6912, 314, 274, 31765, 273, 20954, 799, 568, 1535, 274, 268, 273, 269, 674, 9801, 3467, 267, 547, 5581, 513, 2361, 4630, 31532, 267, 21566, 281, 918, 815, 4399, 13992, 346, 304, 32710, 6912, 314, 274, 31765, 273, 348, 7751, 9890, 21508, 480, 649, 1152, 991, 547, 14574, 519, 3239, 540, 4399, 6912, 314, 274, 31765, 273, 20467, 6911, 6546, 779, 1317, 2715, 272, 267, 4399, 6912, 314, 274, 31765, 273, 20954, 543, 4399, 6912, 314, 274, 31765, 273, 11892, 273, 259, 348, 568, 513, 4493, 540, 4399, 13992, 346, 304, 32710, 6912, 314, 274, 31765, 273, 348, 7751, 607, 513, 21508, 504, 268, 19066, 2230, 267, 865, 1169, 3693, 540, 918, 666, 581, 2854, 607, 1269, 320, 1341, 536, 25490, 314, 274, 31765, 273, 15396, 524, 25490, 314, 274, 31765, 273, 11892, 273, 259, 9890, 1269, 320, 1341, 536, 17385, 7268, 6912, 314, 274, 31765, 273, 16585, 1341, 524, 17385, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 6911, 11997, 267, 972, 616, 1152, 1614, 2009, 4630, 14521, 3359, 918, 9890, 700, 267, 12077, 519, 3961, 267, 21566, 272, 3989, 676, 21566, 272, 259, 7268, 6912, 314, 274, 31765, 273, 16585, 815, 1422, 6912, 314, 274, 31765, 273, 348, 342, 8961, 543, 21566, 273, 259, 7268, 6912, 314, 274, 31765, 273, 16585, 815, 1422, 6912, 314, 274, 31765, 273, 348, 342, 317, 273, 6911, 4131, 590, 815, 2715, 573, 267, 21566, 272, 267, 21566, 273, 9574, 23794, 815, 2715, 10382, 17995, 918, 281, 7329, 263, 10382, 264, 815, 21566, 272, 263, 10382, 264, 815, 21566, 273, 263, 10382, 264, 815, 14668, 348, 815, 21508, 504, 780, 4501, 478, 10382, 17995, 918, 267, 1269, 10382, 815, 513, 1341, 536, 25490, 314, 274, 31765, 273, 15396, 524, 25490, 314, 274, 31765, 273, 11892, 273, 259, 9890, 21566, 272, 263, 10382, 264, 815, 1269, 320, 1341, 536, 17385, 318, 272, 7268, 6912, 314, 274, 31765, 273, 16585, 1341, 524, 17385, 318, 272, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 815, 513, 1341, 536, 7268, 6912, 314, 274, 31765, 273, 16585, 342, 1341, 524, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 342, 317, 273, 267, 21566, 318, 273, 263, 10382, 264, 815, 513, 1341, 536, 17385, 318, 273, 7268, 6912, 314, 274, 31765, 273, 16585, 1341, 524, 17385, 318, 273, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 815, 513, 1341, 536, 7268, 6912, 314, 274, 31765, 273, 16585, 342, 317, 273, 1341, 524, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 342, 269, 22382, 349, 21566, 318, 272, 263, 10382, 6661, 17385, 318, 273, 263, 10382, 264, 22382, 321, 7268, 6912, 314, 274, 31765, 273, 348, 6661, 322, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 2340, 18568, 9625, 14668, 815, 21566, 318, 272, 263, 10382, 264, 22382, 321, 7268, 6912, 314, 274, 31765, 273, 348, 6661, 910, 524, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 22382, 524, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 815, 910, 524, 7268, 6912, 314, 274, 31765, 273, 348, 8203, 273, 259, 2340, 18568, 524, 815, 476, 271, 2340, 18568, 536, 815, 476, 271, 780, 1892, 2913, 918, 815, 700, 815, 4399, 13992, 346, 304, 32710, 6912, 314, 274, 31765, 273, 16585, 414, 488, 484, 315, 13992, 23334, 20954, 972, 568, 1152, 835, 4630, 31532, 21566, 281, 918, 9890, 700, 32372, 298, 1070, 12077, 519, 3961, 1317, 4399, 6912, 314, 274, 31765, 273, 4151, 568, 519, 1152, 630, 9418, 264, 3597, 540, 1535, 274, 910, 273, 538, 918, 2340, 488, 484, 21508, 507, 780, 1892, 2913, 918, 815, 21508, 504, 9217, 267, 4399, 6912, 346, 273, 4151, 1040, 589, 4493, 540, 918, 936, 21508, 504, 568, 2715, 272, 267, 1775, 267, 4399, 6912, 346, 273, 9574, 28363, 6912, 346, 273, 4151, 348, 2340, 18568, 1703, 616, 1152, 476, 275, 4630, 14521, 3359, 267, 519, 3239, 540, 1775, 2115, 547, 581, 13008, 328, 630, 320, 3597, 540, 1535, 273, 266, 272, 284, 271, 264, 543, 519, 3239, 540, 4399, 6912, 346, 273, 348, 20681, 22144, 315, 6912, 346, 273, 4151, 630, 320, 3597, 540, 1535, 273, 268, 273, 815, 476, 271, 6393, 272, 269, 3961, 267, 1269, 328, 9890, 1775, 267, 1422, 6912, 346, 273, 348, 20681, 315, 6912, 346, 273, 21456, 273, 269, 21566, 272, 267, 1269, 328, 9890, 910, 328, 267, 1422, 6912, 346, 273, 348, 20681, 315, 6912, 346, 273, 21456, 274, 269, 21566, 273, 267, 1269, 328, 9890, 1775, 267, 1422, 6912, 346, 273, 348, 20681, 10559, 6912, 346, 273, 21456, 275, 269, 21566, 274, 267, 1269, 328, 9890, 910, 328, 267, 1422, 6912, 346, 273, 348, 20681, 10559, 6912, 346, 273, 10592, 4131, 717, 815, 2715, 272, 267, 21566, 272, 267, 21566, 273, 267, 21566, 274, 9574, 543, 717, 568, 8197, 513, 1895, 896, 5888, 267, 552, 3052, 1421, 630, 26918, 896, 5888, 264, 21566, 272, 17385, 2537, 267, 1269, 17385, 318, 272, 4501, 502, 17385, 318, 273, 9217, 6661, 17385, 318, 272, 9217, 6661, 268, 328, 284, 17385, 318, 274, 9217, 1070, 21566, 318, 272, 4501, 502, 17385, 318, 273, 7268, 6912, 346, 273, 348, 6661, 17385, 318, 272, 8987, 315, 6912, 346, 273, 348, 6661, 10559, 6912, 346, 273, 13157, 17385, 318, 274, 7268, 6912, 346, 273, 348, 7751, 780, 5141, 2727, 281, 918, 294, 815, 21508, 504, 269, 3980, 478, 10382, 17995, 918, 267, 14668, 815, 1269, 320, 1341, 1979, 1341, 524, 25490, 346, 273, 348, 1341, 1019, 25490, 346, 273, 9574, 21566, 318, 272, 263, 10382, 264, 815, 513, 910, 6798, 1341, 524, 25490, 346, 273, 348, 910, 1019, 25490, 346, 273, 9574, 21566, 318, 273, 263, 10382, 264, 815, 513, 1341, 6798, 910, 524, 25490, 346, 273, 348, 910, 1019, 25490, 346, 273, 9574, 21566, 318, 274, 263, 10382, 264, 815, 513, 910, 6798, 910, 524, 25490, 346, 273, 348, 1341, 1019, 25490, 346, 273, 31859, 298, 294, 815, 2715, 10382, 17995, 918, 347, 21566, 272, 263, 10382, 264, 815, 21566, 273, 263, 10382, 264, 815, 21566, 274, 263, 10382, 264, 815, 14668, 10926, 17385, 272, 263, 10382, 264, 815, 21566, 273, 263, 10382, 264, 2340, 18568, 536, 815, 910, 321, 267, 524, 815, 910, 322, 2340, 18568, 536, 284, 476, 271, 267, 524, 815, 476, 271, 267, 21566, 274, 263, 10382, 264, 815, 21566, 272, 263, 10382, 264, 2340, 18568, 546, 815, 910, 323, 2340, 18568, 546, 815, 476, 271, 2340, 18568, 918, 294, 815, 21508, 504, 3980, 492, 692, 293, 9801, 3467, 267, 918, 346, 272, 267, 21566, 272, 348, 815, 1269, 11433, 504, 7268, 6912, 346, 273, 348, 29408, 918, 346, 272, 267, 21566, 273, 348, 815, 21508, 504, 9217, 1070, 918, 346, 272, 267, 21566, 274, 348, 815, 1269, 11433, 504, 9217, 25490, 346, 273, 348, 7751, 780, 1892, 2913, 533, 581, 513, 6305, 267, 2015, 519, 2013, 1141, 519, 2666, 2361, 568, 519, 6305, 2361, 4399, 13992, 346, 293, 20731, 335, 10608, 2913, 918, 815, 4399, 13992, 346, 293, 20731, 336, 259, 581, 519, 13113, 2361, 540, 7117, 2609, 267, 1141, 7117, 815, 929, 269, 901, 568, 519, 1152, 13113, 2361, 540, 1931, 929, 909, 547, 568, 31532, 780, 13706, 519, 11837, 21566, 281, 918, 9890, 918, 1572, 519, 674, 13681, 523, 3780, 4630, 31532, 3989, 676, 21566, 263, 10382, 264, 815, 14668, 335, 3980, 478, 10382, 17995, 918, 267, 21566, 568, 8197, 513, 2361, 4630, 31532, 780, 17385, 263, 10382, 1341, 16061, 264, 815, 630, 10382, 1341, 16061, 264, 335, 815, 1269, 10382, 317, 335, 266, 346, 335, 1422, 577, 5366, 476, 272, 348, 10382, 3867, 335, 268, 272, 348, 15512, 1341, 2715, 335, 1422, 577, 5366, 476, 273, 348, 10382, 3867, 335, 268, 273, 348, 15512, 317, 273, 1341, 5788, 6440, 6440, 1341, 533, 10382, 15512, 3867, 335, 268, 272, 348, 1341, 16061, 317, 335, 815, 14668, 317, 335, 1341, 16061, 317, 335, 259, 543, 602, 779, 1317, 782, 519, 13591, 2474, 616, 4642, 780, 17385, 263, 10382, 6440, 15512, 264, 815, 630, 10382, 15512, 264, 335, 815, 14668, 335, 15512, 335, 815, 21566, 263, 10382, 264, 17385, 263, 15512, 2020, 17385, 267, 21566, 273, 267, 21566, 274, 267, 5788, 6440, 6440, 267, 21566, 337, 268, 272, 616, 782, 3982, 4630, 31532, 281, 918, 9890, 918, 267, 543, 21566, 337, 815, 7329, 269, 717, 815, 2715, 272, 267, 21566, 267, 21566, 273, 267, 5788, 6440, 6440, 267, 21566, 337, 268, 272, 9574, 543, 1269, 298, 317, 294, 815, 1422, 13992, 346, 293, 7272, 10592, 7712, 4399, 13992, 346, 293, 7272, 11892, 265, 259, 814, 533, 910, 476, 272, 2609, 2340, 18568, 3980, 478, 320, 17995, 4399, 13992, 346, 293, 7272, 4151, 25389, 3284, 268, 272, 815, 476, 272, 630, 1492, 3961, 959, 643, 6053, 25389, 621, 267, 1932, 264, 2340, 18568, 21566, 5416, 264, 815, 3284, 815, 513, 2340, 18568, 4399, 13992, 346, 293, 7272, 348, 414, 488, 484, 1422, 13992, 346, 298, 11892, 294, 6911, 293, 9801, 3467, 267, 21566, 568, 7630, 633, 2094, 3284, 815, 476, 271, 7602, 511, 513, 815, 476, 271, 269, 4595, 649, 723, 513, 13113, 2361, 4399, 13992, 346, 293, 318, 336, 20954, 606, 7630, 633, 4786, 568, 849, 1147, 11187, 267, 865, 21566, 568, 1979, 11187, 780, 763, 3818, 2364, 894, 1895, 540, 513, 13113, 2361, 568, 28023, 780, 11997, 267, 4399, 13992, 346, 293, 318, 336, 11892, 265, 259, 568, 513, 28023, 1895, 609, 929, 910, 272, 2609, 2340, 18568, 1496, 4131, 717, 581, 513, 28023, 1895, 540, 1931, 562, 267, 717, 815, 2340, 509, 357, 320, 414, 509, 358, 269, 3973, 513, 330, 815, 552, 476, 858, 630, 604, 543, 1152, 952, 264, 562, 17337, 737, 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 ]
[ 454, 11372, 749, 1336, 513, 3815, 540, 562, 543, 608, 1243, 454, 753, 21591, 15094, 454, 314, 2639, 17798, 835, 3815, 568, 476, 8099, 280, 269, 634, 824, 568, 476, 31620, 278, 563, 6357, 994, 2171, 1246, 519, 5650, 538, 3296, 476, 277, 269, 275, 540, 519, 1433, 269, 1284, 1491, 513, 815, 476, 273, 543, 454, 577, 5366, 645, 815, 476, 1321, 267, 543, 1205, 912, 9563, 536, 284, 335, 578, 1069, 617, 263, 273, 267, 2399, 3645, 263, 1321, 1070, 333, 994, 321, 21591, 280, 7761, 15886, 454, 9563, 575, 7251, 6357, 268, 272, 19885, 994, 753, 21591, 272, 454, 7712, 519, 575, 7251, 568, 476, 272, 267, 649, 723, 711, 1336, 513, 3815, 269, 6684, 267, 952, 649, 1491, 513, 815, 476, 274, 454, 663, 645, 815, 476, 3953, 649, 1205, 912, 9563, 536, 284, 335, 578, 1069, 617, 263, 274, 267, 2399, 3645, 263, 3953, 1070, 333, 994, 321, 21591, 6942, 280, 2537, 272, 454, 9563, 575, 7251, 6357, 268, 272, 19885, 994, 753, 21591, 272, 454, 2252, 596, 2119, 1896, 5079, 585, 513, 543, 645, 267, 621, 786, 581, 12691, 602, 596, 26998, 513, 454, 26476, 607, 1312, 533, 476, 272, 543, 7117, 476, 272, 723, 513, 1804, 6305, 3815, 563, 275, 563, 5416, 994, 9563, 533, 284, 4649, 278, 3248, 9563, 1617, 749, 8443, 273, 476, 274, 3910, 6245, 16427, 1015, 267, 2641, 28872, 994, 753, 21591, 14813, 5606, 454, 9563, 1617, 749, 8443, 273, 476, 274, 3910, 8287, 16427, 1015, 267, 2641, 28872, 994, 753, 21591, 4343, 476, 276, 3374, 454, 9563, 1617, 749, 8443, 273, 476, 274, 3910, 2767, 16427, 1015, 267, 2641, 28872, 994, 753, 21591, 15793, 476, 11740, 454, 6357, 994, 15876, 454, 25332, 2925, 602, 519, 6305, 2188, 540, 533, 616, 476, 274, 543, 476, 278, 543, 602, 476, 6245, 270, 274, 815, 476, 8287, 2676, 663, 476, 6245, 270, 278, 815, 476, 2767, 630, 3602, 1315, 278, 1797, 9062, 676, 11201, 540, 476, 278, 1110, 533, 1040, 9747, 2676, 2421, 11644, 476, 280, 267, 623, 814, 1931, 476, 6245, 563, 6262, 994, 25332, 2925, 602, 649, 3976, 723, 476, 6245, 330, 2999, 476, 273, 692, 1012, 476, 4649, 278, 1341, 476, 4649, 279, 267, 8754, 737, 2999, 630, 273, 692, 4649, 278, 30492, 4649, 279, 8358, 6245, 713, 3947, 602, 476, 272, 737, 476, 274, 269, 27297, 602, 737, 284, 272, 610, 476, 273, 1281, 711, 14183, 454, 295, 13293, 14497, 563, 276, 563, 753, 21591, 16825, 275, 4037, 476, 19442, 278, 1428, 454, 6637, 476, 1240, 910, 30731, 454, 272, 269, 634, 14290, 616, 6740, 538, 519, 682, 30110, 599, 6230, 563, 9563, 30110, 599, 454, 9563, 678, 17342, 271, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 30092, 2171, 3277, 519, 5467, 547, 30127, 476, 30444, 585, 519, 29852, 5690, 269, 3689, 267, 5173, 454, 1492, 6794, 912, 9563, 521, 284, 7116, 16868, 265, 326, 565, 599, 267, 273, 994, 338, 21591, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 454, 25332, 2925, 602, 521, 814, 2597, 476, 274, 269, 634, 6959, 616, 538, 519, 7158, 476, 275, 267, 476, 277, 267, 476, 278, 540, 454, 1492, 678, 560, 3368, 540, 678, 630, 26238, 717, 568, 538, 9836, 1106, 1040, 519, 2953, 5048, 568, 454, 11004, 1150, 454, 9563, 1990, 284, 337, 263, 272, 281, 1321, 11850, 9563, 1990, 8443, 275, 476, 277, 476, 278, 316, 6661, 630, 1990, 8443, 275, 476, 277, 476, 278, 28413, 345, 21591, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 454, 3086, 267, 519, 2034, 835, 563, 9563, 678, 17342, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 30092, 9563, 521, 284, 7116, 16868, 265, 326, 565, 599, 267, 273, 994, 338, 21591, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 454, 9563, 521, 289, 284, 7116, 4433, 265, 326, 565, 599, 321, 267, 273, 994, 338, 289, 21591, 272, 476, 272, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 454, 7712, 1312, 519, 6794, 543, 521, 289, 723, 2597, 3152, 982, 476, 274, 267, 649, 1590, 454, 2889, 3865, 547, 519, 824, 3268, 563, 9563, 1085, 272, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1724, 1070, 273, 11850, 9563, 1085, 273, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1691, 1070, 273, 11850, 14690, 454, 11260, 454, 9563, 1085, 274, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1428, 1070, 273, 11850, 9563, 1085, 275, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1626, 1070, 273, 11850, 9563, 1085, 276, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1704, 1070, 273, 11850, 9563, 1085, 277, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1240, 1070, 273, 11850, 9563, 1085, 278, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 866, 1070, 273, 11850, 9563, 1085, 279, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 736, 1070, 273, 11850, 9563, 1085, 280, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2641, 1070, 273, 11850, 9563, 1085, 1015, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2420, 1070, 273, 11850, 9563, 1085, 1556, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2537, 1070, 273, 11850, 9563, 1085, 1321, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2190, 1070, 273, 11850, 3528, 1210, 2040, 263, 2675, 272, 264, 649, 666, 5173, 519, 2597, 540, 1085, 272, 269, 23560, 713, 585, 454, 26421, 540, 873, 267, 649, 26998, 602, 9039, 540, 519, 12035, 616, 1447, 982, 610, 3160, 547, 476, 273, 563, 2171, 4061, 1590, 2119, 1900, 476, 277, 689, 519, 1433, 563, 9563, 521, 321, 272, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 272, 267, 281, 1070, 273, 11850, 9563, 521, 321, 273, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 273, 267, 281, 1070, 273, 11850, 9563, 521, 321, 274, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 274, 267, 281, 1070, 273, 11850, 9563, 521, 321, 275, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 275, 267, 281, 1070, 273, 11850, 9563, 521, 321, 276, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 276, 267, 281, 1070, 273, 11850, 9563, 521, 321, 277, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 277, 267, 281, 1070, 273, 11850, 9563, 521, 321, 278, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 278, 267, 281, 1070, 273, 11850, 9563, 521, 321, 279, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 279, 267, 281, 1070, 273, 11850, 9563, 521, 321, 280, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 280, 267, 281, 1070, 273, 11850, 9563, 521, 321, 1015, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 1015, 267, 281, 1070, 273, 11850, 9563, 521, 321, 1556, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 1556, 267, 281, 1070, 273, 11850, 9563, 521, 321, 1321, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 1321, 267, 281, 1070, 273, 11850, 25332, 2925, 602, 519, 2597, 540, 521, 321, 272, 568, 476, 273, 267, 543, 8754, 552, 454, 272, 454, 284, 476, 272, 269, 4746, 267, 972, 616, 454, 18314, 6959, 538, 519, 26027, 11353, 267, 12077, 552, 454, 1240, 454, 284, 476, 272, 543, 552, 454, 736, 454, 284, 476, 272, 269, 1284, 666, 5173, 454, 1492, 3312, 5048, 676, 4657, 519, 678, 560, 3787, 540, 519, 678, 560, 476, 1321, 11353, 540, 678, 563, 9563, 1990, 284, 337, 263, 272, 281, 1321, 11850, 9563, 1990, 263, 272, 6661, 1990, 263, 272, 994, 345, 21591, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 454, 7661, 267, 519, 3791, 835, 563, 9563, 678, 17342, 272, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 9948, 3248, 9563, 521, 284, 7116, 16868, 265, 326, 565, 599, 267, 273, 11850, 9563, 521, 289, 284, 7116, 4433, 265, 326, 565, 599, 321, 267, 273, 11850, 13828, 521, 543, 521, 289, 723, 2597, 3152, 982, 476, 274, 269, 1284, 5173, 519, 2597, 540, 454, 338, 1341, 524, 454, 307, 454, 329, 454, 1721, 476, 1724, 795, 476, 2190, 676, 912, 12293, 454, 9563, 1085, 272, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1724, 1070, 273, 11850, 9563, 1085, 273, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1691, 1070, 273, 11850, 9563, 1085, 274, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1428, 1070, 273, 11850, 9563, 1085, 275, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1626, 1070, 273, 11850, 9563, 1085, 276, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1704, 1070, 273, 11850, 9563, 1085, 277, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 1240, 1070, 273, 11850, 9563, 1085, 278, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 866, 1070, 273, 11850, 9563, 1085, 279, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 736, 1070, 273, 11850, 9563, 1085, 280, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2641, 1070, 273, 11850, 9563, 1085, 1015, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2420, 1070, 273, 11850, 9563, 1085, 1556, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2537, 1070, 273, 11850, 9563, 1085, 1321, 284, 7116, 4433, 266, 326, 565, 599, 263, 281, 267, 2190, 1070, 273, 11850, 14085, 540, 891, 723, 2597, 476, 273, 267, 543, 865, 649, 5173, 521, 289, 1341, 536, 454, 307, 454, 329, 454, 912, 9563, 521, 321, 272, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 272, 267, 281, 1070, 273, 11850, 9563, 521, 321, 273, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 273, 267, 281, 1070, 273, 11850, 9563, 521, 321, 274, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 274, 267, 281, 1070, 273, 11850, 9563, 521, 321, 275, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 275, 267, 281, 1070, 273, 11850, 9563, 521, 321, 276, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 276, 267, 281, 1070, 273, 11850, 9563, 521, 321, 277, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 277, 267, 281, 1070, 273, 11850, 9563, 521, 321, 278, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 278, 267, 281, 1070, 273, 11850, 9563, 521, 321, 279, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 279, 267, 281, 1070, 273, 11850, 9563, 521, 321, 280, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 280, 267, 281, 1070, 273, 11850, 9563, 521, 321, 1015, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 1015, 267, 281, 1070, 273, 11850, 9563, 521, 321, 1556, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 1556, 267, 281, 1070, 273, 11850, 9563, 521, 321, 1321, 284, 7116, 4433, 289, 266, 326, 565, 599, 321, 263, 1321, 267, 281, 1070, 273, 11850, 18744, 521, 321, 275, 814, 2597, 1447, 982, 476, 273, 267, 8754, 552, 454, 275, 454, 284, 476, 272, 269, 4595, 521, 321, 275, 814, 513, 1875, 25179, 454, 18782, 538, 519, 476, 275, 628 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2475, 292, 24199, 595, 17955, 29898, 570, 4932, 12195, 12442, 1547, 21964, 540, 1875, 3491, 321, 1464, 10386, 269, 6341, 7204, 8210, 5558, 281, 769, 10386, 1353, 267, 2898, 2551, 568, 6719, 676, 513, 3732, 269, 6348, 3146, 30005, 520, 4369, 269, 12164, 23604, 16249, 589, 29898, 3040, 898, 568, 5227, 602, 513, 7833, 5650, 1058, 581, 4553, 547, 1685, 513, 960, 10386, 1353, 1547, 2005, 568, 607, 5205, 281, 476, 272, 269, 769, 891, 3871, 267, 649, 946, 533, 815, 476, 271, 269, 276, 799, 2560, 4935, 267, 609, 519, 1657, 960, 10386, 1353, 269, 1280, 513, 1870, 2013, 10959, 267, 3314, 602, 2409, 1031, 538, 3732, 2450, 9819, 5673, 593, 519, 1374, 540, 519, 1353, 543, 835, 4542, 3112, 960, 585, 782, 4540, 6272, 1256, 950, 596, 723, 5131, 8865, 16574, 919, 607, 4704, 269, 2560, 634, 1353, 8711, 519, 946, 540, 3247, 4585, 5650, 540, 942, 1353, 267, 960, 10386, 585, 519, 6450, 541, 13307, 269, 10576, 519, 23527, 3040, 5822, 267, 519, 1004, 7900, 519, 4305, 1590, 581, 4857, 267, 1775, 4318, 269, 4937, 2798, 827, 960, 10386, 269, 4437, 553, 538, 960, 10386, 267, 543, 269, 6341, 7204, 8210, 5558, 267, 476, 273, 269, 9521, 11050, 610, 8097, 1382, 267, 513, 2178, 2013, 1353, 1281, 711, 2154, 513, 4351, 610, 11347, 3732, 269, 11374, 616, 930, 540, 519, 6959, 799, 3622, 2049, 281, 476, 272, 269, 769, 1249, 267, 2013, 2090, 1419, 22393, 1445, 593, 8966, 267, 20495, 267, 610, 856, 2391, 2665, 799, 949, 8774, 1007, 1769, 593, 519, 1382, 1966, 269, 6348, 3491, 321, 1464, 10386, 568, 1031, 585, 519, 1739, 281, 8073, 513, 8367, 281, 12824, 946, 519, 1875, 3491, 321, 1464, 10386, 1505, 547, 1711, 606, 13429, 950, 3908, 547, 1100, 1991, 1344, 568, 2560, 769, 519, 476, 3422, 271, 338, 519, 4884, 540, 14472, 16587, 267, 12425, 729, 4362, 547, 723, 5393, 1970, 3928, 540, 2295, 2068, 2560, 4475, 267, 1416, 1590, 581, 3144, 547, 2057, 891, 6959, 269, 8210, 5558, 538, 4518, 6341, 7204, 5530, 281, 2755, 10647, 519, 4518, 6341, 7204, 5530, 930, 6959, 616, 2693, 547, 581, 7018, 269, 5384, 5530, 563, 29409, 665, 4754, 13813, 11588, 267, 7085, 21317, 525, 12791, 769, 21460, 267, 7442, 14269, 1677, 26566, 1047, 19248, 1047, 10370, 7879, 267, 20121, 4176, 476, 273, 7454, 20943, 2045, 3911, 326, 267, 14730, 27804, 3149, 476, 274, 8330, 7702, 18135, 697, 4210, 867, 7454, 5606, 4288, 267, 24410, 7632, 327, 17415, 1656, 20904, 2986, 5600, 3835, 10331, 10662, 21584, 267, 18780, 1280, 5398, 24935, 4147, 267, 20996, 6206, 4580, 14173, 267, 9046, 8827, 4828, 11762, 1280, 16504, 267, 19884, 2657, 17943, 1280, 24755, 680, 1622, 267, 0, 2304, 10343, 949, 581, 19585, 267, 552, 267, 610, 22466, 269, 16448, 531, 20504, 766, 589, 19585, 10343, 267, 3006, 1572, 513, 11727, 10343, 267, 4386, 950, 513, 1268, 547, 7247, 606, 2709, 814, 1044, 1500, 6645, 519, 2709, 528, 602, 646, 610, 1352, 568, 8348, 547, 3858, 547, 519, 2709, 3177, 602, 930, 2242, 616, 1500, 538, 922, 2474, 610, 602, 930, 2783, 610, 2680, 4386, 269, 1547, 901, 1826, 540, 10343, 13333, 607, 513, 20504, 766, 9502, 910, 7767, 31638, 21801, 476, 6860, 267, 476, 1001, 280, 5788, 1323, 10343, 568, 513, 4579, 783, 6876, 676, 606, 791, 7163, 547, 2628, 519, 2179, 1813, 585, 8391, 5370, 693, 513, 9138, 4266, 538, 519, 2104, 269, 26671, 616, 454, 272, 269, 279, 6507, 269, 28147, 269, 278, 1015, 273, 269, 7797, 513, 28787, 269, 18248, 20504, 766, 14271, 11618, 267, 20504, 766, 4165, 11618, 8585, 26713, 20504, 766, 281, 320, 22026, 610, 18515, 547, 3398, 610, 3082, 547, 513, 2016, 25896, 269, 14271, 11618, 281, 659, 638, 625, 12412, 267, 536, 1342, 1464, 267, 10220, 4165, 11618, 281, 637, 2700, 267, 1219, 4800, 267, 27136, 17171, 20504, 766, 3656, 4214, 540, 10343, 23100, 766, 269, 562, 269, 476, 272, 264, 8391, 1945, 689, 1776, 609, 519, 8247, 547, 1832, 621, 267, 543, 6029, 602, 713, 729, 1759, 593, 513, 3105, 6876, 269, 476, 273, 264, 3858, 532, 8231, 958, 610, 538, 1603, 547, 519, 2474, 540, 513, 4579, 267, 799, 568, 835, 540, 519, 4170, 547, 1397, 972, 729, 513, 4579, 630, 534, 2709, 543, 606, 10343, 540, 602, 2709, 1916, 10907, 1061, 766, 301, 8582, 10378, 3091, 519, 1655, 12478, 585, 707, 1753, 269, 3245, 11647, 543, 14233, 547, 5904, 543, 11418, 267, 1205, 3388, 596, 991, 547, 1118, 519, 1034, 856, 540, 707, 1753, 269, 20504, 766, 301, 8582, 10378, 4891, 609, 21625, 547, 948, 1332, 741, 1870, 676, 2810, 6455, 543, 9750, 741, 6075, 3490, 269, 2368, 540, 1215, 547, 6657, 20504, 766, 10907, 1061, 766, 1797, 8508, 4641, 269, 898, 568, 513, 18515, 547, 1995, 1919, 607, 789, 616, 267, 3079, 540, 1202, 12371, 602, 789, 581, 607, 596, 1616, 873, 547, 581, 269, 2311, 519, 1482, 942, 267, 10343, 568, 711, 1022, 540, 519, 1739, 281, 10907, 1061, 766, 568, 711, 6876, 9767, 949, 711, 3858, 609, 1018, 5949, 267, 855, 596, 3398, 621, 267, 1317, 922, 24631, 547, 6560, 1996, 1018, 568, 269, 20644, 543, 20504, 766, 281, 31819, 1411, 10261, 547, 5700, 19423, 518, 543, 20504, 766, 281, 31819, 1411, 10261, 547, 5700, 269, 20644, 543, 10343, 616, 519, 1898, 2609, 540, 513, 4579, 269, 769, 2901, 2013, 267, 621, 1058, 581, 2944, 856, 540, 835, 781, 1863, 786, 543, 609, 606, 9837, 547, 4283, 883, 513, 16155, 11006, 6876, 269, 476, 274, 1295, 1224, 454, 22261, 476, 2767, 267, 476, 1001, 278, 5788, 20504, 766, 568, 14344, 1018, 338, 2907, 5949, 282, 13170, 568, 9844, 532, 547, 811, 540, 621, 538, 519, 2104, 269, 1677, 3398, 602, 519, 1268, 596, 516, 538, 513, 8149, 2078, 609, 814, 513, 634, 5295, 540, 20504, 766, 281, 1805, 641, 1763, 12371, 543, 4855, 519, 7689, 8133, 267, 10343, 568, 513, 3903, 320, 2182, 835, 1034, 9090, 267, 855, 513, 3903, 20866, 269, 1703, 616, 1079, 2081, 856, 540, 513, 1966, 281, 23100, 1018, 338, 8345, 267, 1294, 519, 2318, 267, 543, 3442, 513, 12560, 1533, 540, 2247, 282, 610, 4339, 1996, 621, 267, 581, 3765, 30514, 267, 543, 6560, 1996, 519, 7122, 269, 1548, 1281, 10343, 1611, 286, 910, 8847, 14240, 540, 10343, 538, 519, 26479, 14492, 8675, 269, 12791, 540, 10343, 269, 1548, 1281, 10343, 1611, 286, 6176, 543, 16627, 540, 10343, 538, 519, 1034, 3102, 8675, 8847, 4199, 593, 519, 1357, 563, 9802, 476, 4029, 267, 476, 1708, 272, 5788, 20504, 766, 540, 13951, 543, 3283, 4641, 568, 606, 1898, 2679, 3625, 540, 1082, 6051, 3292, 269, 20504, 766, 568, 865, 1271, 1317, 1346, 945, 6057, 4568, 610, 824, 6878, 630, 528, 6560, 609, 1022, 824, 2186, 540, 8213, 267, 899, 13989, 610, 3023, 264, 616, 1419, 12155, 547, 1210, 24677, 607, 513, 12003, 7271, 547, 2057, 6849, 741, 2042, 269, 10343, 910, 9218, 9502, 2433, 309, 665, 5879, 10907, 1061, 766, 568, 2921, 1945, 2016, 547, 596, 269, 1411, 1522, 581, 17212, 1386, 676, 707, 3659, 781, 10343, 540, 707, 3284, 1108, 585, 18417, 14964, 707, 11332, 936, 1010, 3723, 269, 1323, 10343, 540, 2576, 610, 1945, 568, 849, 606, 16315, 602, 596, 29343, 540, 610, 3494, 538, 621, 630, 528, 873, 1040, 10907, 1061, 766, 1548, 6496, 898, 26419, 6399, 286, 590, 7967, 640, 18401, 634, 1101, 4214, 689, 519, 2296, 10228, 9218, 568, 513, 1390, 4358, 1747, 269, 898, 11225, 20504, 766, 607, 654, 3739, 1145, 547, 20496, 513, 2352, 3510, 269, 634, 1271, 851, 547, 1445, 593, 568, 602, 10343, 568, 513, 786, 995, 957, 269, 769, 824, 1913, 267, 922, 513, 3903, 269, 0, 2304, 4367, 547, 519, 3069, 540, 2123, 3961, 1634, 607, 513, 5626, 3069, 540, 2123, 3961, 281, 519, 2470, 540, 7606, 568, 602, 649, 616, 938, 6857, 2247, 543, 8823, 563, 2304, 4367, 547, 1110, 531, 23835, 1670, 7440, 585, 519, 6228, 540, 2696, 563, 2304, 4367, 547, 14421, 1670, 267, 1419, 1101, 2275, 1021, 267, 7440, 585, 519, 6228, 540, 2696, 563, 2304, 4367, 547, 519, 6138, 540, 2756, 690, 1868, 281, 5683, 267, 12716, 543, 21042, 9713, 2152, 827, 3381, 3756, 563, 2304, 4367, 547, 519, 10952, 3069, 593, 519, 1888, 540, 2123, 3961, 1634, 607, 3662, 1143, 563, 2304, 4367, 547, 717, 9950, 269, 18703, 779, 19577, 540, 606, 24498, 2622, 543, 1010, 3210, 547, 24498, 2622, 28024, 696, 6291, 563, 12041, 281, 24023, 590, 996, 18703, 21145, 281, 13898, 540, 9650, 543, 5678, 6478, 4032, 281, 476, 4200, 277, 1284, 3006, 946, 2789, 4408, 585, 519, 1482, 1268, 610, 3364, 1510, 16734, 621, 269, 5994, 606, 3504, 31485, 12034, 513, 31676, 1560, 538, 519, 10543, 543, 4408, 621, 2048, 295, 525, 704, 639, 10200, 1358, 849, 1294, 513, 31676, 1560, 538, 519, 6640, 543, 2012, 621, 2048, 4942, 6664, 11501, 10200, 2560, 15566, 2542, 6154, 613, 779, 10658, 14794, 543, 519, 12791, 540, 9293, 454, 12041, 281, 7338, 5450, 322, 2788, 21145, 281, 5450, 7469, 3342, 4451, 6478, 1293, 281, 476, 1911, 271, 19415, 1934, 1403, 596, 4076, 2479, 9289, 2436, 2696, 6818, 267, 2436, 1272, 814, 3483, 267, 2436, 5898, 568, 538, 519, 3750, 540, 519, 1531, 27212, 267, 1018, 2306, 3527, 1318, 610, 4636, 267, 610, 2436, 513, 1876, 568, 4023, 610, 1175, 267, 1287, 596, 4076, 2219, 827, 6138, 269, 1656, 891, 616, 1175, 513, 1906, 2560, 15566, 2542, 1548, 568, 13898, 888, 12041, 281, 12049, 518, 1731, 918, 31348, 2006, 595, 20975, 281, 15979, 267, 5450, 7469, 12695, 267, 8466, 13898, 6478, 1293, 281, 476, 7176, 278, 19415, 1934, 4107, 1004, 1589, 12955, 1131, 581, 3983, 585, 873, 543, 865, 789, 4250, 621, 269, 1772, 602, 4250, 7787, 286, 634, 3504, 5259, 14544, 29980, 32203, 630, 30130, 268, 17734, 14514, 264, 3081, 1100, 269, 1261, 13187, 602, 2669, 1765, 607, 519, 8628, 14486, 540, 9637, 28934, 711, 3983, 267, 865, 649, 1058, 2560, 15566, 2542, 1772, 12280, 14068, 286, 29980, 32203, 543, 13198, 4038, 3780, 593, 519, 21824, 540, 12280, 454, 12041, 281, 589, 14371, 269, 15579, 1512, 21145, 281, 13898, 540, 15215, 267, 5450, 7469, 12695, 267, 15979, 6478, 4032, 281, 476, 4200, 276, 3509, 3909, 5389, 4605, 18774, 607, 513, 1747, 540, 10373, 7092, 602, 930, 1004, 1995, 1310, 789, 5884, 269, 1809, 945, 1522, 979, 547, 18774, 267, 543, 1946, 267, 543, 585, 875, 1279, 286, 1656, 267, 4352, 1082, 1004, 3494, 972, 568, 513, 18774, 267, 1522, 789, 581, 19451, 286, 2560, 15566, 2542, 18774, 543, 10713, 16117, 281, 16393, 2696, 22054, 25175, 547, 661, 4156, 15722, 7321, 286, 0, 3086, 602, 1053, 538, 6103, 476, 279, 723, 8737, 741, 10036, 14951, 10833, 543, 2322, 873, 593, 4159, 267, 649, 616, 7836, 519, 2063, 4374, 1354, 5162, 2736, 3695, 513, 1360, 1187, 543, 10058, 8228, 4480, 269, 6969, 3425, 1185, 1569, 547, 3059, 12514, 267, 649, 16941, 593, 2757, 12514, 543, 1769, 25259, 6464, 267, 899, 8988, 10300, 728, 267, 538, 1931, 547, 7001, 513, 4090, 538, 942, 269, 7261, 534, 9189, 568, 513, 26278, 1820, 14708, 1184, 602, 1281, 711, 2154, 513, 8254, 1700, 13318, 1737, 267, 513, 476, 273, 291, 610, 476, 274, 291, 1843, 568, 5116, 2047, 593, 513, 6656, 540, 5423, 1957, 543, 2451, 538, 1463, 7943, 269, 634, 11158, 25259, 6464, 1020, 883, 513, 2620, 4544, 2681, 1141, 20109, 676, 519, 3141, 282, 2899, 519, 31629, 6464, 723, 1044, 32092, 539, 1055, 267, 782, 519, 2127, 4988, 909, 676, 3615, 786, 2408, 3043, 267, 519, 3312, 2681, 540, 519, 1957, 563, 763, 19826, 9189, 1184, 568, 3501, 585, 744, 2006, 1813, 547, 938, 9846, 13566, 2916, 256, 634, 1152, 8945, 568, 547, 1118, 2386, 519, 1769, 25259, 6464, 616, 6404, 538, 513, 4158, 3336, 1604, 543, 519, 5423, 4574, 6854, 856, 540, 7943, 2394, 789, 616, 4712, 547, 1020, 269, 634, 3114, 7848, 568, 1875, 3562, 13877, 543, 666, 581, 4294, 547, 811, 982, 1175, 1957, 1700, 527, 568, 849, 2009, 547, 1820, 593, 695, 16630, 267, 11435, 267, 543, 824, 20955, 269, 9282, 519, 16493, 666, 28201, 936, 942, 952, 2451, 538, 519, 3141, 267, 8380, 873, 538, 513, 4158, 2721, 518, 585, 513, 1906, 4374, 666, 2965, 2014, 519, 3239, 547, 968, 515, 531, 892, 3294, 543, 22919, 930, 540, 922, 4334, 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 ]
[ 31058, 269, 1452, 30088, 5365, 547, 519, 2634, 602, 596, 616, 2407, 267, 4227, 519, 7287, 547, 3548, 269, 1520, 1457, 718, 849, 22262, 519, 3844, 8401, 1062, 267, 799, 666, 2569, 14000, 543, 2333, 4606, 540, 2407, 1145, 563, 1432, 1909, 1281, 10307, 1404, 538, 1520, 1457, 718, 14001, 2597, 2530, 888, 3849, 1457, 718, 4679, 10307, 676, 18398, 519, 5305, 540, 19076, 13824, 543, 824, 10399, 269, 901, 666, 2333, 519, 1560, 779, 1648, 18820, 267, 3056, 547, 2597, 2530, 269, 1717, 267, 519, 2360, 540, 1520, 1457, 718, 593, 10307, 666, 4268, 1851, 2043, 543, 949, 711, 1291, 547, 1713, 2597, 2530, 538, 3025, 563, 9989, 1520, 1457, 718, 2014, 18024, 543, 1216, 2597, 2530, 888, 3849, 1457, 718, 666, 2014, 18024, 607, 513, 2427, 1198, 267, 799, 666, 1291, 547, 10151, 1216, 2597, 2530, 269, 1717, 267, 713, 568, 711, 513, 1279, 3856, 610, 4264, 1505, 540, 2597, 2530, 269, 898, 568, 1271, 547, 3251, 19872, 1247, 2921, 1520, 1457, 718, 543, 547, 711, 7048, 593, 18024, 607, 513, 2597, 2530, 4640, 563, 1692, 1281, 1520, 1457, 718, 1860, 1648, 2157, 543, 2168, 2534, 888, 3849, 1457, 718, 666, 2333, 1648, 2157, 543, 2168, 2534, 676, 18398, 519, 3844, 8401, 1062, 269, 901, 666, 1291, 547, 2799, 8404, 547, 3635, 543, 4824, 2773, 1282, 23736, 269, 1717, 267, 621, 568, 1271, 547, 946, 13657, 950, 16706, 1247, 2921, 1520, 1457, 718, 267, 607, 621, 666, 2333, 2295, 2557, 543, 1973, 2604, 563, 1432, 616, 519, 1279, 3856, 2360, 540, 1520, 1457, 718, 946, 593, 2597, 543, 1072, 888, 16524, 3856, 946, 540, 1520, 1457, 718, 666, 1291, 547, 2597, 2530, 543, 2242, 538, 10307, 267, 607, 1134, 607, 1761, 9025, 543, 17867, 2427, 2360, 269, 898, 568, 1271, 547, 2911, 547, 513, 3782, 8502, 827, 519, 4220, 543, 2640, 540, 1279, 3856, 1520, 1457, 718, 946, 543, 547, 6895, 2597, 543, 1072, 5781, 563, 6701, 972, 1022, 824, 2188, 602, 3565, 547, 2597, 2530, 1247, 2921, 1520, 1457, 718, 888, 8448, 2188, 602, 666, 3565, 547, 2597, 2530, 1247, 2921, 1520, 1457, 718, 1331, 2242, 538, 14031, 267, 2799, 2168, 2534, 267, 543, 1761, 16063, 2427, 2360, 269, 898, 568, 1271, 547, 6895, 891, 2188, 543, 547, 2911, 547, 513, 3782, 8502, 952, 4145, 8451, 269, 0, 31624, 574, 807, 543, 707, 3527, 1403, 596, 1995, 4439, 574, 807, 267, 596, 1522, 281, 3548, 6266, 540, 1426, 538, 835, 979, 630, 6883, 324, 264, 979, 998, 3232, 9979, 540, 4189, 267, 4743, 16944, 267, 1625, 3101, 267, 4743, 17237, 543, 4189, 1586, 563, 1432, 616, 476, 274, 1806, 540, 2935, 1229, 4189, 5615, 888, 11514, 23912, 4189, 949, 1331, 25516, 4189, 267, 31017, 4189, 267, 610, 12150, 610, 1102, 2716, 1043, 4189, 3270, 269, 10791, 532, 568, 835, 540, 519, 1034, 1455, 3029, 540, 2935, 1229, 4189, 269, 8241, 10708, 2502, 538, 2732, 532, 616, 2947, 2053, 811, 2693, 547, 1020, 606, 4189, 4524, 982, 1346, 945, 798, 711, 2732, 630, 272, 1916, 9989, 606, 4189, 4524, 1175, 979, 2476, 888, 4692, 14856, 15136, 3807, 3619, 589, 3118, 9453, 9615, 286, 1358, 666, 267, 855, 711, 1419, 267, 543, 621, 779, 513, 5906, 543, 5732, 14686, 4960, 547, 1491, 269, 589, 2603, 540, 1004, 1810, 1406, 1616, 547, 16153, 602, 789, 723, 606, 4189, 4524, 267, 610, 602, 741, 1126, 814, 606, 4189, 4524, 563, 1432, 616, 2947, 4191, 602, 2576, 949, 723, 606, 4189, 4524, 888, 268, 1325, 614, 725, 538, 13379, 563, 268, 2776, 21232, 566, 2060, 10610, 12005, 563, 268, 2598, 4533, 687, 538, 14856, 18963, 563, 268, 2776, 21232, 566, 2060, 715, 26798, 12474, 563, 268, 15448, 538, 11644, 18963, 563, 268, 28239, 12071, 9822, 725, 563, 268, 2422, 540, 700, 1314, 2510, 267, 4144, 675, 9455, 267, 610, 10791, 623, 1571, 563, 1432, 568, 9647, 24803, 888, 7775, 628, 24803, 568, 606, 14432, 1445, 593, 4189, 538, 513, 2635, 1259, 269, 14856, 14312, 1426, 568, 1434, 267, 855, 952, 596, 723, 9647, 24803, 267, 596, 18930, 827, 621, 547, 513, 4110, 602, 666, 3441, 707, 2949, 1134, 5630, 563, 1432, 568, 8121, 293, 2839, 4524, 888, 22879, 656, 270, 6135, 2774, 633, 1426, 6981, 4524, 630, 2752, 293, 2839, 264, 568, 606, 4189, 4524, 269, 5753, 609, 8121, 293, 2839, 616, 5393, 4584, 344, 3548, 619, 543, 723, 2370, 1719, 538, 4189, 1426, 269, 1358, 3548, 513, 3908, 3099, 540, 9053, 3536, 267, 799, 666, 1291, 547, 4057, 2208, 543, 4057, 6484, 563, 1432, 616, 519, 476, 278, 1806, 540, 2935, 1229, 4189, 3270, 888, 268, 645, 16636, 4189, 4524, 563, 268, 3680, 656, 270, 6135, 2774, 633, 1426, 6981, 4524, 630, 2752, 293, 2839, 994, 268, 4033, 9138, 8023, 543, 4189, 4524, 630, 5308, 293, 3633, 994, 1432, 1281, 711, 4189, 798, 547, 707, 1560, 888, 2252, 513, 1268, 5170, 711, 547, 3548, 267, 789, 666, 723, 1793, 13899, 4633, 267, 10539, 267, 5348, 322, 2100, 630, 325, 31021, 1070, 610, 17465, 269, 1160, 14075, 539, 3668, 540, 6484, 666, 1291, 547, 4049, 2597, 2530, 267, 9854, 267, 4965, 267, 543, 7181, 2152, 563, 1432, 568, 771, 528, 14314, 4189, 888, 288, 4743, 540, 2530, 540, 1852, 1472, 1426, 267, 1519, 31017, 4189, 6208, 269, 4635, 3635, 267, 1426, 19231, 267, 17509, 610, 1625, 3101, 547, 968, 24708, 909, 585, 3983, 3536, 892, 10057, 563, 1692, 1279, 798, 30604, 882, 22663, 2063, 888, 14197, 3928, 540, 4189, 4524, 26739, 616, 2523, 1164, 1369, 519, 1101, 1032, 540, 6051, 267, 609, 4797, 1981, 585, 909, 547, 1079, 1296, 269, 4039, 8985, 666, 1764, 606, 1367, 945, 568, 538, 6051, 689, 1022, 4189, 4524, 267, 855, 519, 1981, 540, 26739, 568, 3226, 1164, 538, 2043, 945, 616, 23232, 689, 30604, 6179, 6242, 563, 1432, 568, 4439, 574, 807, 3068, 888, 2691, 513, 1268, 814, 1044, 2502, 538, 1582, 14001, 13481, 5781, 543, 789, 10393, 3247, 2502, 538, 519, 7180, 267, 741, 2892, 643, 776, 15374, 538, 4395, 540, 741, 10772, 630, 3832, 4060, 264, 949, 2253, 547, 2220, 749, 269, 901, 2306, 741, 1750, 4060, 1413, 22224, 563, 1432, 621, 7959, 899, 547, 723, 30604, 888, 10144, 609, 30604, 1419, 723, 1455, 7592, 267, 1519, 281, 1970, 1582, 12635, 267, 4743, 4502, 1652, 610, 899, 596, 2461, 711, 1434, 2614, 269, 700, 3151, 2597, 666, 1376, 547, 1745, 899, 513, 2631, 540, 9740, 610, 513, 1259, 547, 1745, 513, 2631, 540, 4502, 269, 19870, 1143, 563, 1432, 616, 476, 274, 9963, 4191, 540, 4439, 574, 807, 888, 268, 9210, 529, 3941, 540, 28675, 4189, 563, 268, 8682, 14001, 13481, 563, 268, 3911, 2454, 899, 12154, 527, 563, 268, 16700, 2224, 540, 561, 1314, 2510, 543, 1019, 675, 9455, 563, 268, 1290, 680, 8724, 827, 1560, 3239, 563, 268, 5890, 7675, 16203, 610, 17847, 827, 4189, 563, 3963, 798, 594, 1745, 16944, 1310, 4189, 888, 15933, 16203, 568, 6026, 543, 1419, 11710, 689, 1565, 602, 1426, 568, 2901, 968, 11794, 892, 630, 288, 25605, 968, 16591, 14615, 610, 968, 684, 11794, 892, 630, 288, 25605, 968, 21112, 26158, 1879, 519, 3804, 540, 968, 324, 908, 2635, 892, 568, 3144, 547, 519, 3665, 267, 971, 607, 609, 11326, 899, 968, 30236, 4189, 2223, 1022, 26608, 18727, 968, 684, 11794, 892, 1426, 13604, 1651, 2720, 4606, 540, 16203, 563, 1432, 616, 519, 1034, 6654, 4191, 540, 30604, 888, 15761, 3153, 2597, 2530, 267, 22926, 267, 543, 4552, 2530, 616, 1851, 519, 7986, 3119, 2589, 540, 4359, 30604, 6179, 6242, 267, 855, 1354, 8159, 952, 7463, 30604, 6179, 6242, 2126, 568, 2877, 267, 7189, 543, 24004, 28748, 2356, 2119, 547, 3313, 952, 824, 4191, 540, 519, 2783, 616, 1459, 563, 1432, 568, 693, 2988, 673, 30604, 6179, 6242, 888, 2005, 779, 1572, 693, 2988, 673, 30604, 6179, 6242, 269, 634, 3461, 267, 2356, 513, 1762, 4807, 267, 814, 782, 519, 2589, 540, 30604, 4849, 602, 1352, 779, 711, 896, 7076, 269, 634, 693, 2988, 673, 30604, 3461, 568, 2356, 2576, 945, 814, 13840, 1044, 14968, 269, 9866, 612, 539, 609, 3478, 25182, 267, 1352, 814, 1044, 2732, 532, 543, 16706, 23494, 563, 2691, 1281, 2973, 4189, 1831, 513, 4524, 888, 28490, 513, 1268, 568, 7836, 811, 982, 1614, 3108, 513, 1554, 3206, 827, 741, 2732, 543, 4743, 16944, 950, 789, 30065, 689, 1582, 21553, 12723, 1426, 9993, 267, 789, 4076, 4440, 3323, 513, 2935, 1229, 2078, 609, 1426, 3034, 1432, 568, 621, 1572, 950, 596, 1810, 1406, 899, 4189, 888, 2304, 24803, 568, 513, 2489, 2530, 540, 14031, 610, 513, 2530, 540, 1719, 538, 1426, 269, 1879, 930, 1004, 5873, 519, 2262, 968, 534, 24803, 2223, 789, 1589, 540, 519, 4189, 4524, 30604, 6179, 6242, 563, 3674, 15555, 1588, 513, 4524, 888, 305, 636, 1588, 6794, 568, 513, 4686, 8965, 4524, 538, 799, 1426, 568, 4547, 1394, 909, 689, 519, 7181, 269, 898, 568, 2901, 973, 515, 14954, 267, 759, 342, 9994, 539, 267, 610, 838, 527, 856, 269, 634, 1426, 786, 581, 4330, 607, 512, 8463, 7363, 543, 711, 15755, 2389, 8463, 267, 899, 12154, 527, 269, 901, 1797, 621, 568, 1869, 3768, 580, 6479, 563, 1432, 568, 16496, 4189, 888, 288, 1268, 609, 16496, 4189, 786, 1152, 3548, 3536, 789, 2015, 547, 581, 2922, 610, 11807, 267, 9319, 3536, 609, 513, 1880, 6492, 267, 9403, 610, 7990, 269, 2368, 949, 23487, 519, 2219, 540, 1978, 3536, 267, 543, 3112, 7703, 547, 5905, 610, 1256, 581, 2282, 873, 563, 1432, 568, 519, 3017, 1063, 8121, 293, 2839, 543, 30604, 888, 2752, 293, 2839, 568, 1419, 11821, 609, 30604, 6179, 6242, 1317, 2597, 2530, 543, 9422, 10638, 616, 1455, 3838, 2589, 1063, 519, 1079, 4713, 269, 1717, 267, 519, 3119, 3017, 1063, 8121, 293, 2839, 543, 30604, 568, 602, 8121, 293, 2839, 19330, 519, 5397, 585, 6094, 1145, 602, 568, 865, 1455, 585, 2043, 609, 30604, 563, 1432, 6871, 540, 519, 2551, 814, 606, 4189, 4524, 888, 28848, 4713, 1860, 693, 2547, 476, 280, 260, 540, 519, 2551, 5001, 269, 476, 280, 260, 540, 519, 772, 2529, 269, 2551, 267, 610, 476, 2764, 269, 279, 2929, 4892, 267, 786, 723, 606, 4189, 4524, 538, 741, 10715, 269, 10815, 982, 476, 277, 260, 540, 1004, 609, 4189, 4713, 616, 1199, 1227, 8995, 607, 968, 8974, 7076, 3034, 1432, 616, 1761, 1981, 2188, 602, 949, 1291, 547, 4189, 4713, 888, 268, 8899, 1582, 12635, 563, 268, 30975, 11589, 4664, 563, 268, 18461, 902, 540, 14413, 638, 2329, 543, 27303, 1145, 563, 268, 5262, 2159, 2123, 3347, 563, 268, 3778, 540, 2168, 610, 4638, 6057, 563, 268, 3778, 540, 11648, 267, 3226, 1813, 547, 2597, 610, 2168, 5920, 563, 1692, 1281, 30604, 1020, 888, 763, 3123, 602, 949, 3565, 547, 513, 1268, 3384, 30604, 6179, 6242, 1331, 281, 16723, 2188, 267, 971, 607, 513, 1164, 1377, 540, 19870, 1143, 610, 30442, 16327, 14601, 7209, 7592, 267, 4743, 3908, 1852, 538, 1272, 543, 1970, 1582, 12635, 267, 513, 12402, 2509, 4965, 543, 4160, 543, 513, 4057, 5114, 547, 2566, 563, 1692, 798, 596, 917, 952, 707, 1560, 779, 538, 27781, 7154, 888, 268, 700, 996, 1173, 344, 269, 1879, 596, 616, 711, 4189, 2614, 593, 513, 27781, 2732, 267, 596, 616, 2693, 547, 2141, 1745, 13110, 282, 3006, 476, 2190, 3108, 513, 1554, 563, 268, 22458, 13809, 563, 268, 1411, 3657, 4790, 14688, 590, 1157, 563, 268, 19693, 12017, 518, 563, 268, 4790, 14688, 28214, 12019, 563, 268, 31932, 11270, 338, 563, 268, 12619, 10819, 270, 11514, 7451, 269, 0, 2080, 781, 519, 1883, 3604, 1063, 4457, 16909, 7401, 543, 2834, 7401, 912, 24336, 4173, 4472, 21281, 281, 4457, 16909, 29225, 616, 1500, 5097, 689, 513, 2647, 3099, 540, 11922, 267, 5810, 267, 543, 27386, 338, 269, 1452, 666, 1331, 669, 24075, 656, 1335, 636, 267, 575, 1231, 1263, 267, 32175, 267, 20909, 267, 20511, 267, 543, 824, 2371, 609, 9354, 3601, 269, 634, 5820, 1031, 616, 711, 6508, 689, 519, 6682, 749, 807, 5609, 18424, 2030, 267, 799, 568, 1031, 547, 3132, 2834, 7401, 269, 4457, 16909, 29225, 616, 7363, 14933, 6954, 610, 723, 1360, 1970, 14933, 1543, 563, 19894, 21281, 281, 8617, 7401, 267, 971, 607, 3109, 267, 3039, 267, 3043, 267, 543, 522, 565, 784, 7401, 267, 568, 1500, 689, 519, 3762, 540, 519, 6682, 749, 807, 5609, 18424, 2030, 269, 634, 1826, 540, 7401, 630, 18872, 267, 3039, 267, 3092, 4700, 568, 5462, 676, 519, 4393, 543, 16617, 2157, 540, 891, 7401, 3762, 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 ]
[ 9124, 543, 20560, 945, 1185, 281, 513, 23069, 1369, 519, 2250, 476, 1321, 3275, 267, 6209, 2792, 543, 513, 1416, 337, 609, 6190, 15334, 538, 2296, 269, 19893, 538, 519, 6304, 1895, 1031, 513, 4605, 27412, 609, 513, 8036, 11001, 267, 543, 513, 1416, 337, 1459, 269, 1452, 5171, 6854, 519, 27412, 267, 543, 941, 4280, 547, 946, 621, 693, 2547, 7466, 811, 936, 476, 736, 4374, 269, 634, 1852, 1895, 4607, 2126, 607, 8912, 267, 543, 941, 3177, 609, 513, 27412, 693, 519, 1439, 540, 519, 1353, 269, 476, 278, 23250, 7355, 941, 1031, 11341, 547, 19684, 267, 1239, 4015, 267, 1140, 761, 542, 267, 1761, 1198, 593, 20560, 5829, 2298, 540, 1272, 630, 22977, 17952, 543, 4804, 24894, 10866, 540, 5020, 17361, 267, 661, 17162, 304, 5357, 264, 693, 476, 275, 22173, 267, 476, 1321, 22173, 543, 476, 736, 22173, 1246, 13522, 267, 23250, 540, 12191, 267, 3398, 1464, 540, 519, 6304, 543, 1761, 547, 5173, 1942, 13716, 4369, 269, 634, 19684, 2557, 540, 14718, 2550, 729, 476, 4097, 260, 543, 519, 3077, 540, 476, 2412, 5171, 729, 6603, 269, 1703, 729, 8766, 7508, 1239, 543, 1140, 761, 542, 269, 1323, 9837, 3562, 2389, 805, 2079, 729, 5340, 282, 1239, 689, 519, 6364, 3800, 2303, 513, 4324, 689, 519, 6304, 593, 519, 661, 17162, 304, 5357, 7180, 543, 7099, 9408, 2297, 693, 476, 275, 543, 476, 736, 4374, 1246, 5346, 269, 634, 27412, 543, 1353, 2409, 941, 9797, 4607, 267, 543, 1100, 8801, 2621, 941, 4080, 269, 1703, 729, 513, 2318, 16315, 540, 519, 1761, 585, 513, 1942, 13716, 4369, 2079, 269, 2353, 23250, 7355, 941, 4628, 610, 13148, 1558, 267, 4061, 30260, 23250, 540, 513, 17046, 4693, 269, 4959, 305, 6311, 301, 8517, 277, 3583, 4375, 269, 15618, 676, 519, 22720, 297, 14539, 6828, 17290, 269, 1280, 10479, 547, 946, 630, 3602, 711, 2907, 11292, 896, 513, 6132, 775, 454, 299, 1168, 529, 267, 8861, 282, 13852, 267, 16910, 18333, 282, 28711, 32752, 267, 6424, 454, 32247, 1928, 568, 513, 11342, 267, 896, 26817, 30938, 1966, 538, 519, 1565, 9659, 2551, 269, 901, 568, 538, 851, 1813, 547, 2792, 2042, 267, 11389, 322, 1758, 1242, 1928, 19326, 543, 519, 2360, 540, 6646, 269, 1306, 513, 12343, 267, 5312, 1928, 1419, 4422, 15860, 543, 3123, 5571, 11605, 269, 901, 1957, 7620, 6257, 519, 1292, 1382, 602, 814, 1044, 7498, 14483, 3609, 543, 2259, 9859, 2509, 1004, 609, 1565, 9124, 24865, 538, 519, 632, 13318, 6627, 5314, 3157, 267, 3540, 2924, 4145, 543, 5610, 626, 24866, 540, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 269, 1717, 267, 12206, 917, 2370, 827, 519, 1808, 8658, 1369, 799, 891, 941, 20834, 2213, 269, 4014, 621, 568, 10355, 17019, 538, 519, 6281, 3332, 267, 631, 18853, 729, 7986, 538, 5859, 532, 585, 2924, 2861, 2533, 585, 1565, 16981, 1004, 1282, 713, 942, 269, 901, 2376, 5036, 631, 18853, 781, 5859, 1369, 519, 9962, 3140, 2796, 540, 519, 13539, 781, 8129, 607, 513, 1292, 9872, 540, 519, 954, 21351, 2790, 9882, 3350, 269, 634, 2376, 5956, 676, 24152, 519, 2790, 9882, 3350, 781, 3312, 12497, 5314, 540, 1412, 11365, 10638, 262, 607, 519, 25710, 4185, 540, 519, 1582, 1606, 7739, 532, 543, 3743, 2043, 602, 621, 2808, 519, 4493, 540, 15114, 543, 2790, 1072, 269, 898, 1287, 15244, 875, 713, 3830, 2968, 19586, 1194, 267, 538, 851, 676, 519, 12012, 2175, 896, 519, 2022, 21351, 28054, 3557, 267, 538, 851, 676, 519, 2790, 9882, 3350, 781, 1378, 17695, 2358, 269, 634, 3803, 3296, 6257, 519, 11028, 24632, 5314, 540, 15114, 602, 5555, 7153, 609, 519, 12900, 540, 519, 2790, 9882, 3350, 543, 519, 11944, 540, 631, 18853, 269, 898, 2982, 602, 11269, 540, 631, 18853, 781, 2924, 2861, 5859, 532, 630, 6518, 723, 267, 538, 1022, 2013, 267, 5059, 593, 2790, 4576, 264, 607, 1367, 626, 267, 543, 21739, 10353, 547, 4915, 543, 2618, 17226, 267, 616, 25619, 269, 769, 1249, 267, 631, 18853, 8179, 513, 3102, 2146, 2861, 3028, 267, 7471, 609, 519, 2489, 1072, 543, 10304, 2533, 543, 20218, 1472, 513, 16646, 540, 1565, 16981, 1004, 781, 15114, 2924, 563, 1607, 1957, 6257, 519, 3355, 2164, 540, 960, 547, 1711, 513, 2857, 2658, 1062, 547, 6474, 2029, 2472, 547, 1004, 609, 594, 22230, 291, 676, 7311, 3684, 1565, 547, 513, 1804, 4320, 540, 1239, 827, 281, 1004, 609, 594, 22230, 291, 282, 519, 2029, 2472, 789, 946, 282, 543, 519, 4093, 789, 2832, 547, 3035, 609, 2029, 563, 307, 4900, 23014, 267, 11835, 282, 15917, 6011, 267, 9400, 454, 1103, 513, 8789, 5375, 2245, 602, 3325, 637, 19548, 1565, 267, 22993, 1565, 4485, 723, 4607, 3908, 1382, 3007, 734, 663, 1447, 538, 2069, 982, 824, 10459, 269, 901, 1957, 14405, 593, 5892, 4080, 12170, 1239, 689, 513, 2947, 4458, 11300, 16890, 4721, 1353, 547, 8044, 602, 28400, 14428, 9713, 16222, 2259, 666, 3895, 22993, 7498, 306, 879, 837, 267, 700, 1941, 320, 282, 7137, 16466, 267, 21877, 11219, 2033, 454, 303, 3233, 7041, 540, 11923, 267, 3823, 1565, 9124, 666, 723, 14042, 4539, 269, 4400, 3491, 12803, 5359, 543, 519, 16711, 543, 11068, 342, 604, 2044, 7027, 4170, 3366, 713, 2160, 547, 6338, 9523, 6807, 883, 519, 15938, 543, 2022, 12392, 8808, 6437, 269, 9523, 6807, 568, 513, 5691, 1604, 2919, 693, 27257, 4975, 2160, 267, 538, 799, 2875, 11923, 1451, 689, 10853, 267, 1966, 2861, 7653, 10023, 1004, 609, 1565, 9124, 269, 11374, 519, 6388, 540, 519, 4199, 606, 6268, 540, 1312, 5234, 543, 2875, 1995, 729, 17298, 269, 4841, 4080, 602, 1966, 2861, 7653, 941, 18481, 1483, 543, 15138, 269, 31950, 926, 657, 4843, 5892, 796, 656, 4602, 730, 9270, 267, 5356, 1007, 4030, 267, 543, 4758, 1053, 519, 4316, 547, 26821, 3375, 6194, 538, 4101, 7653, 1354, 25884, 873, 538, 2259, 269, 634, 8818, 543, 519, 2298, 540, 519, 12449, 941, 10404, 2213, 267, 855, 267, 713, 1705, 711, 15936, 609, 1565, 269, 27607, 11000, 3464, 941, 26906, 267, 789, 3622, 5433, 9797, 2509, 519, 4199, 543, 4857, 9342, 538, 2474, 540, 20762, 1565, 543, 10319, 3450, 269, 634, 6268, 8309, 547, 24300, 540, 1565, 3842, 20533, 4641, 267, 543, 14439, 1184, 2152, 602, 786, 1217, 519, 1646, 540, 2417, 2200, 543, 741, 5066, 13050, 12725, 267, 543, 949, 3391, 824, 2069, 7426, 538, 3384, 543, 7598, 2200, 540, 713, 2470, 269, 1703, 729, 1713, 26027, 1063, 11000, 3464, 262, 6788, 540, 1053, 262, 1995, 540, 9523, 6807, 269, 14645, 9736, 476, 1001, 276, 29021, 13456, 269, 2353, 2924, 11603, 563, 303, 664, 614, 267, 808, 282, 7066, 341, 603, 1157, 267, 700, 282, 670, 770, 902, 267, 681, 623, 282, 769, 724, 600, 267, 645, 282, 20858, 267, 589, 454, 1103, 5870, 519, 2115, 540, 2043, 609, 7214, 9124, 630, 2839, 264, 945, 1569, 1072, 2533, 267, 513, 5618, 267, 11455, 4879, 540, 991, 568, 3730, 269, 901, 1353, 14592, 519, 1646, 543, 4152, 540, 519, 4804, 24894, 20126, 10495, 15484, 630, 17162, 2793, 307, 1070, 513, 1907, 5497, 585, 713, 3483, 269, 1323, 4540, 2790, 1072, 630, 300, 295, 264, 1907, 729, 6905, 676, 513, 23499, 1895, 540, 9517, 9439, 269, 16952, 10253, 941, 31751, 547, 7001, 2115, 2066, 3670, 9517, 2126, 11890, 602, 519, 1895, 4857, 269, 700, 19091, 307, 16863, 941, 21845, 585, 519, 1739, 281, 6221, 21336, 3599, 267, 10083, 267, 4020, 14496, 543, 4835, 11007, 630, 333, 815, 476, 15433, 273, 5148, 1449, 3146, 11687, 10727, 630, 333, 815, 476, 2767, 5148, 543, 21276, 14496, 630, 333, 815, 476, 8182, 1040, 2353, 700, 19091, 307, 10253, 941, 16363, 24802, 4143, 609, 2370, 21336, 3599, 7805, 269, 25867, 5057, 2079, 8612, 1614, 3334, 630, 16467, 11365, 2115, 267, 4101, 7180, 267, 631, 295, 543, 1134, 5630, 1040, 18378, 11007, 729, 1434, 630, 290, 1258, 22138, 13672, 476, 271, 269, 3199, 1040, 10572, 6221, 1449, 3146, 11687, 10727, 729, 8101, 5991, 792, 3501, 585, 476, 736, 10253, 543, 13581, 1922, 1515, 585, 1614, 10253, 269, 15788, 10727, 729, 2282, 3501, 630, 842, 571, 11665, 9756, 815, 476, 271, 269, 11011, 1040, 1703, 941, 1713, 12205, 609, 2947, 540, 3670, 2783, 10391, 3800, 267, 1775, 4318, 269, 519, 654, 15308, 534, 11242, 540, 11545, 12389, 17361, 630, 2102, 1968, 2702, 270, 4134, 1464, 1070, 774, 11611, 10495, 25373, 630, 14490, 1070, 29007, 10819, 22802, 585, 15706, 609, 25827, 24894, 27691, 677, 4813, 630, 577, 718, 27701, 7180, 264, 4317, 9442, 7726, 32666, 630, 2246, 1143, 264, 543, 513, 14850, 335, 5803, 2168, 1072, 18102, 269, 3958, 267, 519, 19250, 1713, 21374, 1063, 891, 2645, 543, 519, 700, 19091, 307, 3334, 1500, 2631, 24802, 269, 1703, 941, 1100, 19250, 1713, 21374, 609, 519, 5369, 12278, 10495, 2480, 1117, 2737, 585, 20661, 609, 25833, 24894, 630, 320, 2268, 540, 631, 295, 2589, 538, 1004, 609, 9517, 1040, 634, 700, 19091, 307, 1185, 24802, 10626, 950, 12773, 519, 2115, 540, 1004, 609, 9517, 1991, 547, 2783, 10391, 4879, 4433, 1040, 1323, 26087, 525, 540, 4835, 454, 5141, 732, 267, 594, 595, 282, 717, 644, 329, 976, 5459, 267, 717, 670, 454, 1103, 1931, 547, 2708, 513, 7803, 14353, 781, 2702, 547, 1118, 513, 6325, 3948, 267, 2773, 593, 1614, 3800, 734, 5793, 5766, 894, 2303, 2225, 267, 1476, 629, 1637, 543, 4203, 625, 12412, 734, 16673, 581, 1031, 269, 901, 1957, 6799, 16861, 1239, 593, 891, 3800, 585, 1004, 609, 7646, 1565, 9124, 630, 17359, 17361, 21842, 1496, 293, 10485, 304, 13912, 476, 6872, 268, 4037, 1040, 898, 729, 1336, 602, 789, 941, 811, 2303, 1043, 982, 741, 3328, 2702, 13413, 630, 293, 10485, 304, 281, 476, 10695, 268, 9340, 264, 1317, 789, 941, 1454, 811, 11630, 547, 1412, 18490, 2055, 8339, 1358, 849, 1476, 629, 4327, 811, 543, 941, 811, 4203, 625, 1417, 269, 15788, 267, 519, 1239, 15091, 741, 1761, 13438, 547, 4758, 20093, 821, 748, 21981, 1282, 23827, 725, 563, 12640, 601, 518, 267, 23436, 282, 19162, 3205, 267, 15593, 787, 282, 7043, 267, 28270, 5055, 282, 18234, 267, 31929, 454, 2467, 568, 513, 632, 14390, 540, 9836, 2090, 540, 22192, 1603, 4524, 630, 11246, 291, 264, 538, 7606, 609, 3004, 9964, 11020, 28864, 630, 307, 10292, 1040, 898, 568, 15458, 952, 570, 10292, 15000, 262, 2854, 4082, 15320, 3648, 689, 602, 4810, 676, 7606, 609, 1565, 9124, 269, 898, 568, 849, 15458, 799, 5042, 610, 5778, 17595, 1670, 4632, 3589, 2042, 609, 22192, 1603, 630, 11246, 264, 610, 519, 661, 310, 291, 269, 901, 1353, 11567, 519, 661, 310, 5578, 267, 543, 519, 661, 310, 291, 538, 4079, 609, 7646, 15779, 2634, 7063, 630, 307, 10292, 264, 3448, 547, 1346, 609, 1565, 9124, 630, 17162, 1040, 898, 849, 5462, 799, 540, 1896, 5042, 4632, 10567, 661, 310, 543, 661, 310, 291, 269, 20232, 3281, 9426, 5811, 630, 303, 7563, 264, 540, 1603, 5439, 689, 476, 2764, 31298, 5171, 543, 476, 2764, 570, 10292, 15000, 7000, 2185, 3334, 540, 22192, 1603, 1983, 281, 7335, 661, 848, 267, 22054, 12071, 1890, 267, 18049, 543, 26538, 267, 543, 24225, 12071, 1890, 269, 1703, 941, 1100, 1713, 3604, 1063, 519, 31298, 543, 570, 10292, 2516, 593, 1022, 540, 519, 22192, 1603, 3334, 269, 11153, 5778, 17595, 1670, 4632, 10567, 1983, 540, 2854, 4082, 269, 634, 1655, 30661, 3769, 3800, 540, 8901, 8226, 267, 11913, 21842, 267, 2324, 3965, 267, 543, 3308, 3965, 269, 570, 10292, 15000, 543, 7606, 609, 31298, 798, 711, 8428, 6825, 569, 538, 2474, 540, 22192, 1603, 5578, 269, 21474, 540, 8901, 8226, 267, 3308, 3965, 267, 11913, 4987, 267, 543, 2324, 3965, 3589, 1603, 5578, 538, 1312, 2516, 269, 11153, 9354, 7459, 616, 6700, 602, 616, 4481, 2966, 547, 2087, 22907, 538, 22192, 1603, 1983, 538, 2043, 609, 570, 10292, 543, 31298, 563, 302, 24202, 29229, 267, 717, 24170, 282, 670, 8973, 267, 9400, 454, 1607, 1382, 6663, 547, 1683, 513, 1732, 1620, 540, 519, 1995, 540, 1489, 4600, 267, 607, 6976, 1416, 3464, 267, 12391, 585, 4079, 609, 1565, 9124, 630, 17162, 338, 264, 683, 2130, 519, 1439, 540, 1272, 538, 10821, 5468, 269, 769, 519, 2250, 476, 1911, 1296, 267, 1004, 609, 700, 17762, 630, 10193, 5219, 547, 607, 1412, 14048, 7411, 3299, 1412, 11365, 29472, 566, 262, 543, 1412, 842, 21526, 9659, 262, 18368, 264, 616, 2713, 3476, 609, 1272, 19104, 16042, 519, 2551, 2343, 543, 811, 2693, 547, 5884, 689, 3676, 971, 607, 2860, 267, 7929, 543, 15466, 3676, 269, 7991, 2861, 6462, 22098, 814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 299, 454, 263, 280, 994, 25332, 2925, 602, 519, 13350, 1599, 535, 568, 19944, 6681, 693, 519, 2798, 13008, 299, 267, 13008, 274, 700, 267, 2485, 499, 2485, 499, 2485, 499, 267, 607, 3254, 538, 7612, 476, 1015, 269, 275, 269, 273, 269, 2311, 891, 2798, 519, 3126, 630, 280, 264, 4780, 2471, 547, 519, 1611, 1871, 540, 519, 2451, 543, 1318, 7182, 267, 12077, 267, 4642, 269, 634, 9864, 2040, 540, 519, 3126, 630, 280, 264, 585, 562, 815, 476, 280, 568, 3254, 538, 7612, 476, 1015, 269, 275, 269, 274, 269, 634, 18582, 2125, 7613, 630, 20197, 538, 8791, 476, 1015, 269, 274, 264, 1586, 4386, 2282, 519, 2798, 540, 19944, 8462, 563, 299, 454, 271, 454, 333, 454, 394, 352, 7055, 299, 454, 296, 476, 272, 594, 454, 268, 274, 299, 910, 273, 299, 910, 299, 700, 476, 273, 299, 476, 274, 299, 1535, 454, 6441, 454, 20983, 13543, 476, 1015, 269, 275, 269, 273, 27517, 1729, 1054, 5951, 563, 6321, 279, 454, 6637, 476, 1015, 269, 3487, 658, 27018, 12307, 543, 22263, 10022, 454, 270, 586, 476, 23326, 13045, 299, 454, 25773, 273, 299, 910, 299, 1315, 700, 1315, 476, 273, 299, 2473, 454, 315, 1315, 1315, 454, 280, 454, 2862, 454, 333, 454, 6441, 910, 535, 454, 20983, 13543, 476, 1015, 269, 275, 269, 274, 589, 9864, 2040, 538, 519, 22263, 3126, 267, 26169, 269, 630, 280, 1070, 585, 519, 4718, 1729, 1054, 5951, 563, 9616, 602, 538, 713, 1383, 535, 11196, 299, 264, 815, 535, 630, 299, 264, 815, 476, 271, 267, 607, 1134, 607, 535, 630, 271, 264, 815, 476, 271, 269, 901, 568, 2838, 952, 519, 1599, 535, 568, 547, 581, 1312, 9642, 543, 13350, 609, 1974, 476, 273, 299, 269, 1879, 649, 3717, 540, 14335, 513, 20534, 3126, 585, 513, 1599, 3989, 593, 476, 271, 2999, 1535, 2999, 700, 267, 621, 568, 6956, 602, 267, 952, 2556, 267, 649, 1590, 1101, 28196, 710, 519, 1599, 547, 581, 4642, 693, 1535, 815, 476, 271, 543, 1535, 815, 700, 563, 2005, 568, 26656, 547, 7747, 602, 519, 21083, 5951, 1599, 630, 7078, 476, 272, 540, 8791, 454, 1015, 269, 273, 264, 543, 519, 4718, 1729, 1054, 5951, 1599, 1175, 2808, 616, 9838, 593, 519, 8884, 476, 271, 2999, 1535, 2999, 700, 269, 4475, 267, 741, 22263, 3126, 27721, 547, 519, 1482, 1599, 267, 535, 630, 343, 264, 815, 1535, 267, 593, 713, 8884, 269, 4935, 267, 952, 621, 568, 2838, 547, 2099, 519, 1599, 535, 630, 343, 264, 815, 1535, 593, 271, 2999, 1535, 2999, 700, 676, 513, 22263, 3126, 267, 621, 568, 2009, 547, 798, 713, 676, 2901, 513, 25482, 3126, 610, 513, 20534, 3126, 269, 769, 519, 5449, 2013, 535, 568, 6905, 607, 606, 1256, 1599, 883, 519, 8884, 2485, 501, 299, 2999, 1535, 2999, 476, 271, 543, 11992, 21237, 630, 1492, 21083, 5951, 1040, 769, 519, 8545, 2013, 535, 568, 6905, 883, 2485, 501, 299, 2999, 1535, 2999, 476, 271, 607, 606, 9642, 1599, 267, 543, 11992, 21237, 630, 1492, 4718, 1729, 1054, 5951, 1040, 1403, 535, 568, 6905, 538, 1022, 824, 1259, 267, 519, 4611, 22263, 3126, 786, 1869, 27721, 547, 1535, 538, 454, 271, 2999, 1535, 2999, 700, 855, 786, 4125, 1312, 20534, 543, 25482, 2474, 563, 1103, 6061, 2042, 538, 11186, 4834, 621, 568, 1419, 3730, 547, 4228, 538, 513, 22263, 3126, 540, 1974, 476, 273, 299, 513, 1599, 535, 8385, 3989, 1152, 593, 519, 8884, 1496, 271, 267, 700, 476, 4940, 1306, 8612, 5892, 585, 519, 1599, 535, 630, 343, 264, 815, 1535, 1896, 8925, 616, 2139, 269, 1401, 14032, 569, 267, 649, 666, 912, 326, 3287, 264, 21591, 263, 1015, 994, 272, 269, 16294, 513, 1599, 575, 540, 1974, 476, 273, 299, 865, 602, 454, 3709, 535, 630, 343, 1070, 476, 271, 2999, 1535, 2999, 700, 2676, 329, 535, 630, 382, 501, 343, 1070, 2485, 501, 700, 2999, 1535, 2999, 476, 271, 563, 763, 1599, 575, 568, 3976, 519, 1256, 13350, 10137, 540, 535, 269, 4706, 22263, 3126, 267, 799, 568, 513, 25482, 3126, 267, 4564, 535, 593, 1496, 271, 267, 700, 9948, 563, 273, 269, 16294, 513, 1599, 554, 540, 1974, 476, 273, 299, 865, 602, 454, 327, 3287, 264, 21591, 325, 630, 343, 1070, 476, 271, 2676, 271, 2999, 1535, 2999, 700, 2073, 1535, 815, 476, 271, 267, 700, 2676, 263, 1556, 994, 382, 501, 535, 263, 382, 501, 343, 1070, 2485, 501, 299, 2999, 1535, 2999, 476, 271, 563, 763, 1599, 554, 568, 3976, 519, 9642, 13350, 10137, 540, 535, 269, 4706, 22263, 3126, 267, 799, 568, 513, 20534, 3126, 267, 849, 4564, 535, 593, 630, 271, 267, 700, 1916, 1015, 269, 275, 4634, 543, 744, 9536, 12793, 454, 6321, 280, 454, 13052, 21283, 4041, 454, 273, 454, 274, 269, 16294, 513, 1599, 3852, 374, 540, 1974, 476, 273, 299, 865, 602, 454, 330, 630, 343, 264, 815, 535, 630, 343, 1070, 476, 271, 2999, 1535, 2999, 700, 267, 630, 1321, 994, 663, 1577, 737, 3287, 264, 581, 3989, 585, 630, 382, 501, 299, 267, 476, 271, 264, 538, 1022, 1259, 5812, 609, 519, 2175, 540, 14497, 476, 1015, 269, 274, 269, 272, 269, 6884, 621, 568, 10375, 547, 5581, 737, 3287, 264, 547, 581, 4642, 585, 2485, 501, 299, 2999, 1535, 2999, 476, 271, 269, 634, 22263, 3126, 585, 3852, 374, 267, 799, 3322, 1312, 20534, 543, 25482, 2474, 267, 849, 4564, 535, 593, 1496, 271, 267, 700, 3910, 7488, 540, 519, 6073, 538, 799, 737, 3287, 264, 568, 3989, 538, 11196, 299, 267, 476, 271, 1040, 4935, 972, 616, 28222, 1082, 971, 3126, 267, 782, 540, 799, 27721, 547, 535, 630, 343, 264, 538, 519, 3312, 8884, 563, 29995, 267, 519, 1106, 540, 519, 7269, 547, 581, 1031, 786, 581, 9598, 730, 630, 528, 693, 2547, 6700, 264, 676, 519, 3483, 585, 799, 621, 568, 2877, 269, 1717, 267, 952, 972, 568, 513, 3903, 607, 547, 519, 2186, 540, 22263, 3126, 547, 581, 1031, 267, 519, 5542, 666, 3006, 581, 1759, 593, 519, 4028, 640, 540, 19427, 269, 1280, 1383, 267, 519, 25482, 3126, 585, 519, 21083, 5951, 1496, 292, 336, 269, 630, 736, 264, 540, 8791, 454, 1015, 269, 273, 316, 4780, 2471, 811, 6385, 982, 519, 20534, 3126, 585, 519, 4718, 1729, 1054, 5951, 1496, 292, 336, 269, 630, 280, 264, 538, 713, 3296, 3910, 4352, 1312, 27721, 547, 519, 1482, 1599, 585, 476, 271, 2999, 1535, 2999, 700, 1547, 901, 568, 1813, 547, 519, 1249, 602, 519, 21083, 5951, 568, 513, 23704, 1599, 982, 519, 4718, 1729, 1054, 5951, 543, 568, 4061, 4443, 547, 16977, 269, 769, 2489, 267, 519, 811, 6024, 16755, 22234, 676, 513, 1599, 936, 519, 3003, 8884, 2485, 501, 1729, 2999, 1535, 2999, 547, 267, 519, 5488, 922, 22263, 3126, 786, 27721, 269, 6423, 9046, 476, 1240, 540, 8791, 476, 1015, 269, 274, 563, 22428, 602, 454, 272, 2485, 501, 1535, 2073, 476, 271, 2999, 1535, 2999, 476, 272, 31377, 325, 630, 343, 264, 815, 476, 271, 267, 476, 272, 2999, 1535, 317, 476, 273, 269, 630, 1724, 994, 28095, 24177, 476, 272, 10371, 476, 22145, 476, 23714, 476, 24062, 476, 19054, 476, 25134, 476, 27420, 2999, 476, 28906, 3436, 476, 28143, 476, 29616, 476, 20542, 476, 25313, 476, 24374, 476, 27123, 10371, 476, 2568, 280, 23645, 8921, 0, 20464, 476, 1240, 267, 476, 1708, 272, 454, 31640, 11762, 1384, 258, 3680, 532, 4569, 4762, 4288, 538, 2659, 15789, 692, 10907, 1484, 519, 4950, 267, 972, 616, 9708, 6998, 1018, 519, 2953, 2626, 568, 585, 1018, 4667, 899, 513, 2241, 2979, 1966, 269, 1452, 3622, 1267, 538, 7366, 610, 5215, 540, 6114, 19163, 519, 2953, 2626, 269, 1280, 1383, 267, 1018, 568, 519, 1871, 540, 2473, 1210, 519, 1739, 2979, 1966, 2496, 311, 815, 476, 277, 1315, 476, 273, 263, 272, 266, 273, 2020, 4407, 513, 21318, 540, 4267, 616, 1419, 2938, 585, 713, 1966, 267, 519, 2164, 3622, 4099, 593, 1079, 2009, 4267, 267, 476, 272, 543, 476, 280, 269, 1879, 596, 2070, 4267, 1004, 2022, 593, 1514, 2923, 267, 596, 3580, 1265, 602, 1034, 2285, 519, 2626, 540, 476, 272, 1210, 519, 1739, 7954, 1384, 311, 815, 476, 277, 270, 273, 263, 272, 266, 273, 2020, 311, 815, 476, 277, 270, 273, 263, 274, 2020, 311, 815, 476, 277, 270, 277, 692, 311, 815, 476, 272, 692, 1103, 1249, 267, 952, 596, 1826, 519, 3830, 883, 606, 4587, 9498, 267, 596, 616, 2693, 547, 1205, 513, 1267, 540, 835, 607, 1134, 267, 607, 3254, 538, 713, 16629, 1470, 535, 343, 268, 11025, 5960, 1384, 18744, 835, 2626, 568, 2953, 585, 713, 1966, 543, 621, 568, 711, 476, 272, 269, 634, 16629, 1470, 568, 4636, 676, 2221, 779, 4441, 256, 1411, 666, 6166, 713, 676, 2870, 513, 2241, 1982, 538, 707, 5172, 5752, 1893, 267, 971, 607, 10084, 1384, 3499, 21504, 1362, 11822, 13043, 13634, 21504, 11979, 20704, 1292, 263, 21803, 26514, 26571, 264, 13634, 29602, 2473, 815, 476, 277, 1315, 476, 273, 2608, 630, 272, 266, 273, 11850, 21902, 269, 719, 31428, 15238, 2891, 311, 815, 834, 1341, 2473, 3738, 3248, 8679, 8679, 7884, 2691, 2196, 267, 713, 1982, 7472, 519, 2241, 1267, 540, 1384, 311, 815, 476, 280, 692, 1103, 519, 2250, 267, 519, 6073, 13890, 1657, 547, 1205, 547, 519, 1267, 540, 476, 272, 729, 2808, 2953, 269, 901, 568, 1317, 950, 3257, 6498, 267, 621, 729, 1455, 547, 1491, 1018, 729, 593, 519, 1318, 2427, 543, 2322, 621, 2630, 1018, 729, 593, 519, 2451, 269, 901, 1500, 2631, 950, 596, 1705, 2979, 2042, 971, 607, 1384, 311, 815, 476, 277, 1315, 476, 273, 312, 692, 10190, 621, 1223, 581, 14648, 607, 1384, 277, 692, 21387, 273, 312, 692, 13295, 267, 952, 586, 729, 3160, 547, 630, 272, 266, 273, 1070, 1287, 519, 1267, 1131, 581, 476, 272, 269, 901, 267, 2705, 267, 568, 711, 875, 519, 1966, 1131, 581, 11117, 2221, 269, 1411, 666, 1586, 1449, 713, 609, 707, 5172, 5752, 1893, 269, 594, 3580, 1586, 946, 10084, 1384, 3499, 21504, 1362, 11822, 13043, 13634, 21504, 11979, 20704, 1292, 263, 21803, 26514, 26571, 264, 13634, 29602, 586, 815, 476, 272, 266, 273, 3248, 29602, 1535, 815, 476, 277, 1315, 476, 273, 265, 344, 16963, 21902, 269, 719, 31428, 15238, 2891, 344, 815, 834, 1341, 586, 3738, 3248, 21902, 269, 719, 31428, 15238, 2891, 343, 815, 834, 1341, 1535, 3738, 3248, 8679, 8679, 7884, 763, 3977, 713, 942, 568, 1384, 344, 815, 476, 274, 269, 271, 692, 343, 815, 476, 280, 269, 271, 692, 1432, 814, 4957, 568, 602, 6498, 568, 1100, 3476, 2808, 547, 581, 3388, 593, 519, 2451, 5258, 676, 3388, 593, 519, 1318, 269, 13298, 267, 621, 8813, 883, 3044, 2157, 540, 11346, 9551, 775, 269, 901, 1931, 568, 3622, 645, 7495, 300, 3008, 1384, 1892, 4858, 1188, 1115, 692, 1892, 2107, 10249, 630, 10339, 7859, 267, 7060, 267, 4009, 5072, 267, 3092, 24355, 1892, 10406, 543, 18527, 692, 1892, 18827, 543, 25513, 692, 2005, 2114, 593, 1142, 1377, 540, 519, 1592, 616, 2944, 538, 2451, 3562, 28878, 1931, 267, 3976, 538, 938, 1966, 1657, 267, 519, 476, 277, 568, 5693, 5258, 676, 519, 476, 273, 1101, 543, 1287, 16611, 676, 476, 274, 630, 1492, 1267, 540, 476, 272, 266, 273, 1070, 3976, 4758, 519, 2953, 2626, 540, 476, 280, 780, 1012, 1548, 827, 5890, 11228, 5295, 2496, 16665, 547, 713, 267, 519, 7829, 540, 7060, 666, 849, 581, 11117, 20093, 821, 3585, 269, 1548, 1131, 581, 519, 1267, 952, 596, 1185, 606, 3830, 609, 23055, 971, 513, 476, 275, 547, 519, 1379, 540, 476, 274, 547, 519, 1379, 540, 476, 273, 1384, 10521, 2009, 4267, 616, 1419, 11855, 585, 713, 1966, 607, 1134, 269, 1358, 616, 476, 275, 267, 6021, 277, 543, 476, 26783, 267, 13893, 267, 855, 799, 568, 2953, 286, 589, 2370, 14103, 609, 513, 3787, 540, 10084, 29441, 3009, 666, 948, 1683, 519, 2626, 1384, 2026, 596, 666, 1294, 267, 519, 2953, 1267, 568, 476, 26783, 267, 13893, 269, 634, 1739, 1079, 2338, 948, 547, 9414, 602, 12825, 4238, 616, 711, 2944, 689, 2451, 3562, 28878, 267, 855, 2864, 689, 1318, 3562, 268, 3847, 780, 1012, 634, 7689, 547, 6875, 589, 3118, 692, 763, 1931, 540, 11346, 6268, 568, 1271, 547, 1174, 269, 5457, 1018, 729, 5018, 1657, 269, 4746, 3314, 602, 621, 568, 2451, 3562, 28878, 1931, 585, 10442, 3688, 693, 519, 1482, 1377, 282, 2705, 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 ]
[ 476, 272, 270, 278, 628, 540, 922, 15222, 748, 3432, 563, 272, 2433, 547, 1847, 7444, 609, 519, 1560, 2673, 547, 519, 2666, 2433, 1847, 593, 3946, 543, 19704, 269, 476, 273, 2433, 547, 979, 1360, 7444, 610, 5402, 29853, 729, 17875, 1782, 2059, 269, 476, 274, 2433, 547, 581, 4988, 609, 610, 723, 519, 4743, 540, 1373, 4988, 609, 1212, 9429, 1919, 634, 1426, 729, 17875, 1782, 609, 13733, 269, 0, 294, 4916, 1546, 23903, 538, 2782, 18830, 16819, 12071, 454, 2304, 928, 24755, 517, 267, 589, 17025, 454, 12914, 269, 476, 274, 267, 476, 1220, 277, 12882, 11366, 892, 1306, 3552, 5017, 4712, 547, 1491, 547, 519, 22839, 585, 741, 5162, 9194, 267, 5017, 689, 2230, 786, 581, 5464, 741, 5322, 538, 1931, 547, 948, 3744, 4339, 519, 3262, 540, 670, 276, 301, 272, 12882, 11366, 892, 519, 14686, 8833, 540, 26624, 2770, 3644, 563, 3528, 1210, 15870, 12445, 2029, 267, 3486, 6887, 540, 3744, 1544, 547, 1246, 519, 5322, 540, 4955, 7992, 5017, 547, 1732, 1174, 519, 6708, 540, 741, 1909, 538, 23142, 519, 3644, 269, 634, 772, 12991, 269, 5253, 543, 11982, 9257, 630, 11902, 302, 264, 9250, 519, 1544, 1739, 513, 10554, 538, 7507, 538, 2904, 267, 1141, 4966, 7036, 539, 547, 2232, 519, 1966, 563, 14071, 3494, 602, 693, 930, 2157, 267, 3552, 5017, 949, 581, 7700, 547, 519, 3262, 540, 26624, 14798, 2066, 10665, 543, 1256, 2066, 17407, 538, 930, 2665, 2223, 1767, 8845, 1715, 2006, 267, 22557, 17367, 585, 519, 13812, 11094, 5980, 563, 300, 16800, 281, 20570, 19305, 0, 8005, 568, 519, 13653, 540, 2048, 4263, 14741, 5984, 17939, 3873, 685, 286, 8382, 2433, 681, 2459, 2129, 534, 20858, 681, 2459, 2129, 534, 20858, 8547, 2311, 14741, 5984, 17939, 3873, 538, 2836, 12827, 3279, 538, 519, 1032, 476, 8687, 276, 269, 681, 2459, 2129, 534, 20858, 543, 2311, 14741, 5984, 17939, 3873, 5129, 606, 1271, 1909, 538, 17502, 1470, 7304, 601, 16406, 28073, 540, 7073, 3127, 269, 4258, 330, 719, 811, 2055, 281, 5999, 593, 4095, 1686, 5999, 593, 3127, 9365, 12108, 29243, 7343, 21912, 514, 4414, 323, 2005, 19478, 7179, 1855, 5586, 1090, 17397, 538, 2433, 4095, 3778, 17457, 4095, 3778, 16193, 306, 665, 1470, 7304, 601, 16406, 28073, 540, 7073, 3127, 18771, 3367, 5999, 5808, 729, 519, 13653, 540, 519, 808, 520, 1533, 540, 32038, 520, 20580, 286, 6904, 28753, 531, 15626, 5795, 909, 1010, 5604, 543, 4682, 1524, 3162, 547, 3715, 519, 1533, 540, 5754, 1457, 21171, 538, 519, 1546, 764, 534, 286, 5808, 568, 519, 13653, 540, 2048, 289, 19207, 15879, 6341, 1690, 540, 3127, 685, 286, 1879, 1705, 519, 4563, 670, 1961, 3004, 3022, 344, 2049, 538, 19377, 286, 717, 3424, 547, 3933, 6139, 1235, 685, 568, 519, 4583, 5137, 540, 799, 4095, 1514, 6963, 518, 286, 15019, 5999, 6904, 28753, 531, 14890, 5795, 519, 4144, 342, 8643, 610, 519, 1318, 547, 2445, 8907, 547, 3703, 538, 19377, 267, 4437, 9618, 543, 2107, 20811, 286, 7201, 799, 8907, 1062, 267, 519, 28753, 531, 2229, 26438, 609, 8907, 6705, 610, 1647, 5443, 547, 2628, 519, 28753, 531, 6554, 513, 6378, 2179, 540, 2724, 1247, 1862, 6904, 28753, 531, 15626, 5795, 909, 1010, 5604, 543, 4682, 1524, 3162, 547, 3715, 519, 1533, 540, 5754, 1457, 21171, 538, 519, 1546, 764, 534, 286, 5808, 729, 519, 13653, 540, 519, 21220, 611, 327, 14628, 10806, 286, 5808, 9676, 3619, 320, 538, 476, 14681, 271, 5084, 286, 5381, 5999, 5808, 568, 519, 13653, 540, 2048, 288, 745, 341, 2089, 340, 1090, 11873, 685, 286, 5808, 568, 519, 13653, 540, 2048, 763, 3493, 5962, 4147, 17030, 5980, 685, 286, 5808, 568, 519, 13653, 540, 2048, 9617, 823, 9549, 630, 334, 1553, 6053, 519, 3162, 4095, 27565, 18966, 264, 685, 286, 5808, 568, 519, 13653, 540, 2048, 289, 1695, 880, 330, 761, 12231, 752, 541, 7236, 17939, 3873, 685, 286, 5808, 568, 519, 13653, 540, 2048, 20236, 268, 4910, 1051, 11873, 685, 286, 0, 14532, 540, 3751, 8176, 4083, 540, 4789, 454, 24246, 543, 8281, 28825, 14532, 540, 3751, 8176, 4083, 540, 4789, 568, 513, 5929, 2296, 10424, 1686, 676, 15243, 2806, 321, 2714, 269, 3751, 8176, 519, 5822, 729, 519, 5067, 543, 24288, 540, 3751, 8176, 519, 3689, 269, 1452, 1079, 616, 519, 1152, 15438, 540, 519, 2012, 540, 8176, 602, 723, 7902, 267, 3976, 2484, 267, 538, 519, 1899, 540, 2296, 19988, 338, 269, 7439, 568, 621, 1360, 21483, 602, 972, 786, 4166, 581, 1776, 269, 634, 12081, 338, 540, 1312, 891, 16313, 338, 941, 26911, 543, 512, 7568, 1639, 609, 1082, 642, 1182, 543, 10963, 267, 543, 4158, 2989, 676, 3084, 12469, 540, 1169, 2186, 267, 543, 519, 2012, 568, 3976, 4448, 609, 865, 1082, 11213, 12205, 538, 519, 8186, 540, 2367, 267, 602, 621, 4667, 547, 723, 1044, 12628, 267, 676, 1455, 9844, 267, 538, 782, 8371, 540, 519, 10424, 1920, 269, 0, 28606, 8278, 22915, 267, 6382, 1634, 607, 17333, 4345, 608, 1181, 320, 568, 606, 6553, 540, 519, 1274, 12324, 267, 799, 949, 581, 3361, 676, 3968, 267, 14711, 610, 824, 3123, 269, 12580, 1331, 621, 577, 267, 1274, 11166, 267, 543, 1928, 563, 14112, 24331, 14501, 799, 2312, 909, 3533, 616, 1572, 2048, 659, 1393, 9957, 1717, 267, 538, 930, 2665, 519, 17333, 4345, 608, 1181, 320, 16569, 3476, 982, 1614, 3275, 543, 568, 5219, 547, 607, 5312, 269, 12769, 31531, 267, 621, 666, 2063, 585, 1896, 1296, 563, 2252, 596, 7985, 689, 1274, 26253, 596, 786, 581, 1031, 547, 3586, 21422, 538, 543, 1472, 707, 1274, 12324, 269, 1411, 949, 723, 9636, 543, 1928, 538, 707, 1274, 543, 1256, 513, 11166, 689, 519, 1274, 269, 901, 666, 4755, 950, 519, 28332, 543, 8886, 730, 2960, 3587, 7783, 269, 1879, 4049, 267, 707, 6217, 849, 666, 581, 4299, 269, 901, 568, 1813, 547, 519, 5394, 267, 3819, 2960, 2679, 909, 538, 519, 1274, 12324, 563, 2467, 616, 1082, 3123, 540, 17333, 4345, 608, 1181, 320, 610, 1274, 26253, 282, 14711, 547, 1880, 12772, 610, 16507, 5563, 1813, 547, 4551, 616, 1455, 269, 1809, 1776, 267, 1447, 1455, 2014, 568, 1644, 547, 2960, 4713, 899, 26253, 610, 27728, 269, 634, 2126, 2356, 15695, 568, 10322, 18042, 1274, 12772, 8164, 2589, 27506, 909, 563, 19013, 713, 2126, 568, 1419, 2110, 2165, 1107, 1152, 17303, 21338, 519, 2589, 269, 16828, 519, 16698, 2501, 1394, 543, 519, 2126, 814, 547, 2253, 782, 936, 1586, 269, 769, 1931, 547, 2061, 1274, 26253, 585, 1434, 649, 991, 547, 723, 513, 1413, 693, 1946, 649, 949, 581, 3478, 519, 2589, 538, 519, 1101, 1747, 563, 12024, 26253, 11992, 593, 519, 1560, 267, 972, 568, 513, 4276, 547, 2825, 23480, 269, 901, 2882, 1426, 22740, 8481, 267, 855, 952, 713, 18387, 1406, 23174, 707, 1966, 1287, 596, 991, 547, 1413, 2417, 269, 6875, 513, 1434, 2182, 1413, 693, 1018, 568, 538, 707, 1753, 543, 267, 811, 4481, 267, 1018, 596, 2322, 593, 707, 1560, 563, 2467, 616, 1082, 2825, 12153, 585, 1274, 26253, 543, 27728, 269, 10610, 2603, 687, 267, 3068, 1212, 4461, 267, 17643, 575, 1564, 543, 865, 2355, 269, 1809, 950, 519, 26253, 568, 538, 519, 1274, 12324, 1107, 519, 8458, 616, 621, 949, 581, 1644, 547, 1018, 596, 946, 547, 11547, 707, 4552, 269, 24768, 5820, 5532, 547, 16698, 540, 519, 2960, 616, 19890, 1336, 538, 1034, 6671, 31576, 30139, 543, 2783, 619, 4421, 2221, 269, 1452, 8886, 1218, 4283, 519, 1274, 12324, 1169, 942, 596, 11547, 707, 4552, 610, 723, 513, 8602, 256, 2201, 1283, 540, 602, 789, 849, 4283, 519, 1973, 6908, 3842, 519, 2960, 689, 1560, 729, 1127, 543, 2603, 687, 799, 666, 1291, 547, 2960, 8886, 725, 607, 1082, 13802, 666, 1628, 909, 936, 942, 563, 10673, 1406, 581, 18174, 539, 676, 2472, 31002, 607, 2048, 11499, 685, 610, 2048, 869, 8886, 656, 9957, 3509, 3549, 4894, 1152, 519, 1134, 8153, 8886, 1218, 267, 711, 519, 7366, 540, 6967, 5820, 602, 1223, 581, 4929, 519, 1966, 269, 1403, 596, 616, 3978, 827, 4227, 543, 7303, 707, 2589, 596, 991, 547, 4444, 689, 513, 11967, 2754, 602, 10018, 602, 789, 9004, 20231, 1761, 23480, 5532, 547, 2960, 16698, 269, 1703, 616, 971, 3549, 855, 789, 616, 2182, 547, 1265, 543, 596, 991, 547, 917, 1141, 547, 1413, 563, 8340, 856, 875, 596, 666, 10826, 707, 1274, 26253, 2221, 256, 0, 268, 1548, 1281, 621, 1611, 950, 26048, 3515, 616, 2484, 6306, 888, 268, 1548, 798, 27230, 7851, 1397, 888, 268, 1548, 4010, 1281, 513, 26048, 1899, 1397, 888, 268, 1215, 666, 596, 3313, 952, 972, 568, 513, 8559, 610, 513, 28188, 593, 519, 5251, 676, 3168, 513, 26048, 4786, 888, 268, 1548, 798, 519, 10580, 593, 519, 2451, 2427, 540, 519, 4786, 5815, 888, 268, 1215, 798, 596, 1224, 513, 1283, 4919, 4786, 538, 20569, 888, 268, 1548, 616, 519, 476, 276, 16390, 540, 26048, 3515, 888, 268, 4208, 798, 649, 946, 26048, 3515, 888, 268, 1548, 616, 519, 476, 274, 2010, 540, 26048, 3515, 888, 268, 4208, 798, 26048, 3515, 2760, 3444, 888, 268, 1215, 798, 26048, 3515, 5815, 513, 14869, 9386, 1215, 798, 789, 5815, 513, 6908, 888, 268, 1548, 798, 1244, 11306, 538, 519, 4786, 1413, 899, 888, 268, 1215, 798, 596, 2995, 952, 513, 14629, 568, 14869, 593, 513, 1283, 4919, 4786, 888, 268, 4208, 568, 621, 1572, 513, 476, 278, 269, 276, 8792, 4786, 888, 268, 1548, 568, 513, 4965, 26048, 1899, 888, 1432, 1281, 621, 1611, 950, 26048, 3515, 616, 2484, 6306, 888, 6944, 712, 3515, 602, 616, 5266, 2673, 1927, 5815, 513, 9386, 602, 568, 9425, 14869, 563, 6944, 712, 3515, 602, 616, 2417, 6306, 6920, 513, 9386, 602, 568, 5266, 6366, 10756, 1432, 798, 27230, 7851, 1397, 888, 288, 27230, 4786, 2982, 519, 3892, 540, 2326, 693, 610, 2282, 519, 3047, 779, 2627, 269, 9412, 2010, 610, 796, 4621, 13521, 730, 2326, 616, 3622, 19882, 883, 4786, 4559, 543, 13269, 1210, 1114, 4778, 269, 2983, 11043, 7851, 1397, 1344, 6394, 16924, 538, 519, 2361, 676, 6972, 28599, 779, 5251, 563, 1432, 4010, 1281, 513, 26048, 1899, 1397, 888, 6944, 712, 1899, 267, 513, 1899, 593, 513, 4786, 8204, 606, 16494, 1899, 593, 519, 2244, 2627, 267, 782, 2798, 540, 799, 616, 693, 519, 1482, 15038, 1657, 513, 3611, 636, 7077, 267, 2356, 1611, 4262, 1377, 269, 634, 6516, 14550, 875, 26048, 3515, 1397, 8323, 676, 11836, 2798, 540, 3160, 15038, 563, 1692, 666, 596, 3313, 952, 972, 568, 513, 8559, 610, 513, 28188, 593, 519, 5251, 676, 3168, 513, 26048, 4786, 888, 4002, 513, 14869, 9386, 267, 519, 26048, 3515, 616, 2673, 1927, 269, 2201, 513, 16795, 9386, 267, 519, 26048, 3515, 616, 2484, 6306, 269, 2552, 712, 3515, 602, 1397, 513, 4965, 267, 28188, 267, 610, 16173, 23346, 593, 513, 4786, 616, 6719, 676, 546, 14414, 3515, 630, 327, 778, 675, 7436, 264, 593, 519, 3330, 540, 513, 26048, 1899, 563, 1432, 798, 519, 10580, 593, 519, 2451, 2427, 540, 519, 4786, 5815, 888, 2252, 596, 1336, 595, 8014, 10830, 267, 593, 519, 2451, 2427, 540, 519, 4786, 267, 596, 616, 1318, 269, 2560, 2201, 513, 26048, 4786, 267, 513, 5858, 609, 27808, 11058, 2583, 6920, 513, 4965, 269, 476, 275, 269, 966, 11057, 20073, 525, 540, 26048, 3515, 5815, 6908, 23898, 563, 1692, 798, 596, 1224, 513, 1283, 4919, 4786, 538, 20569, 888, 15703, 3741, 616, 1271, 585, 2542, 513, 1283, 4919, 4786, 281, 6944, 712, 3515, 1397, 519, 476, 274, 8820, 3337, 540, 519, 2244, 630, 8201, 2630, 1040, 2560, 24517, 878, 10580, 5815, 513, 14629, 269, 2560, 24051, 3481, 3492, 878, 10580, 5815, 513, 4965, 267, 607, 2938, 538, 519, 7612, 2630, 269, 2560, 966, 11057, 20073, 525, 540, 26048, 3515, 5815, 6908, 23898, 21457, 3688, 7498, 1432, 616, 519, 476, 276, 16390, 540, 26048, 3515, 888, 305, 2544, 476, 272, 1107, 1169, 1448, 540, 513, 26048, 1899, 814, 519, 1482, 15038, 269, 14329, 476, 273, 1107, 26048, 3515, 5094, 15081, 650, 689, 1524, 24824, 269, 14329, 476, 274, 1107, 26048, 3515, 798, 711, 5905, 610, 3444, 1142, 824, 4849, 693, 513, 29384, 269, 14329, 476, 275, 1107, 1169, 476, 276, 628, 26048, 1899, 568, 18632, 538, 2681, 563, 3963, 798, 649, 946, 26048, 3515, 888, 763, 3483, 540, 26048, 3515, 568, 547, 2099, 519, 959, 573, 7645, 3337, 540, 519, 18714, 2627, 593, 513, 19915, 7645, 4786, 269, 2552, 712, 3515, 616, 519, 10167, 540, 606, 8880, 7077, 6252, 547, 519, 4704, 1377 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2697, 741, 1808, 4791, 7498, 305, 11047, 1380, 523, 267, 25844, 523, 282, 19785, 704, 267, 15576, 344, 282, 13669, 8705, 267, 15117, 454, 14399, 609, 674, 13926, 15850, 25400, 15136, 630, 293, 32359, 264, 616, 5185, 609, 513, 2039, 540, 2168, 267, 5042, 267, 8965, 267, 543, 5924, 1565, 22907, 267, 607, 1134, 607, 4057, 10324, 8647, 543, 1514, 1983, 269, 7869, 540, 2247, 630, 2414, 300, 264, 568, 519, 2702, 547, 1174, 602, 835, 781, 1378, 5133, 949, 8428, 689, 519, 5133, 540, 1776, 1367, 269, 1677, 300, 10953, 1472, 2085, 476, 275, 543, 568, 17047, 609, 2773, 593, 10324, 8647, 4247, 269, 634, 3853, 540, 713, 1353, 941, 547, 4983, 1677, 300, 2773, 538, 1762, 1453, 609, 674, 32359, 267, 875, 2085, 729, 1644, 547, 1677, 300, 2773, 267, 543, 2436, 1677, 300, 5759, 941, 1644, 547, 5817, 10324, 1599, 7965, 269, 17823, 1399, 31644, 1453, 630, 3042, 476, 275, 547, 476, 279, 1296, 264, 15548, 281, 476, 1839, 1453, 609, 674, 32359, 543, 476, 2764, 1852, 1453, 269, 2353, 1453, 941, 7318, 593, 3800, 540, 1677, 300, 267, 10324, 8647, 267, 543, 32615, 6863, 269, 2859, 1453, 538, 519, 674, 32359, 1895, 630, 4510, 8472, 8959, 835, 610, 1312, 1677, 300, 3800, 982, 538, 519, 1852, 1895, 630, 1839, 22103, 24771, 1453, 609, 674, 32359, 5340, 8338, 593, 1677, 300, 982, 7820, 1453, 267, 855, 713, 729, 711, 519, 2013, 585, 519, 1852, 1895, 269, 1280, 519, 674, 32359, 1895, 267, 1677, 300, 2773, 729, 17047, 609, 513, 2268, 540, 22629, 267, 855, 585, 519, 1852, 1895, 267, 1677, 300, 729, 17047, 609, 3308, 1606, 6312, 658, 2324, 3965, 269, 5753, 609, 674, 32359, 723, 7411, 593, 1677, 300, 4247, 267, 543, 713, 7411, 949, 581, 1644, 547, 5817, 22907, 538, 22629, 563, 288, 330, 8663, 267, 631, 904, 320, 282, 700, 7112, 529, 267, 31929, 282, 6754, 267, 681, 9996, 454, 8505, 1143, 25400, 13081, 630, 32359, 264, 568, 513, 5778, 16467, 11365, 9659, 6353, 676, 22907, 538, 1514, 5872, 543, 2792, 543, 676, 16625, 5615, 543, 11658, 4690, 269, 13405, 1382, 814, 7000, 10324, 1599, 630, 9128, 264, 22907, 538, 1453, 609, 20284, 269, 898, 814, 1044, 6700, 602, 891, 31246, 23043, 616, 2404, 609, 1893, 7498, 30560, 345, 267, 14667, 595, 5919, 15966, 718, 267, 7917, 645, 563, 25889, 281, 19881, 2090, 723, 1336, 602, 2022, 2987, 560, 6627, 1242, 630, 18444, 264, 1453, 616, 3226, 11630, 547, 3007, 2042, 543, 1685, 14605, 593, 10324, 8647, 630, 9128, 264, 2978, 4247, 269, 10613, 281, 9977, 16863, 540, 31246, 941, 8947, 538, 476, 25971, 1153, 21943, 543, 476, 9873, 9251, 21943, 1453, 7550, 689, 26447, 569, 14145, 1516, 6739, 5238, 602, 7498, 310, 531, 6767, 267, 590, 6993, 9950, 5919, 1284, 518, 6577, 7921, 267, 631, 15030, 5861, 269, 8709, 282, 654, 6359, 333, 1218, 267, 631, 11482, 5919, 18548, 2006, 267, 589, 8160, 11053, 563, 7212, 4057, 2542, 543, 10259, 1983, 723, 1044, 2404, 609, 4617, 1983, 540, 10324, 8647, 630, 9128, 1070, 922, 1909, 538, 7924, 568, 711, 3768, 529, 1584, 539, 269, 5221, 31246, 814, 1114, 7811, 24598, 25751, 267, 2409, 540, 2079, 543, 540, 12570, 267, 621, 814, 3366, 547, 8795, 543, 1419, 17804, 2164, 538, 922, 454, 5415, 1382, 568, 2877, 602, 27180, 875, 2318, 6530, 23938, 7592, 616, 10567, 676, 5778, 322, 4321, 3157, 269, 4856, 22046, 5944, 267, 519, 3483, 540, 713, 1353, 729, 547, 23754, 875, 267, 543, 547, 1018, 6708, 267, 2185, 7592, 267, 12077, 267, 27497, 267, 27277, 267, 2318, 1860, 267, 543, 1272, 9547, 941, 10567, 676, 519, 10324, 8647, 630, 9128, 264, 7516, 7498, 300, 14525, 267, 2725, 12174, 282, 700, 30377, 267, 12049, 282, 670, 1231, 24849, 267, 15537, 623, 563, 25889, 281, 1284, 19175, 1947, 4553, 606, 17801, 1227, 543, 8739, 324, 1595, 1227, 3309, 3732, 540, 6690, 609, 3007, 12413, 7228, 270, 30104, 13808, 4524, 630, 4696, 8461, 264, 630, 333, 815, 476, 9610, 264, 543, 513, 20083, 6476, 3732, 630, 333, 815, 476, 6434, 264, 689, 6689, 998, 1762, 15296, 547, 6218, 11095, 24551, 540, 10324, 3252, 630, 9128, 264, 543, 12205, 1063, 31246, 24551, 7498, 7883, 5255, 267, 1546, 6277, 773, 282, 16176, 1782, 267, 20152, 282, 670, 592, 1889, 267, 8176, 454, 25889, 281, 4347, 545, 1080, 538, 942, 8226, 630, 1492, 2702, 547, 9794, 519, 8653, 540, 942, 11996, 264, 723, 1044, 1336, 538, 1453, 609, 1312, 3007, 12413, 7228, 270, 30104, 13808, 4524, 630, 4696, 8461, 264, 543, 27577, 269, 901, 1957, 27180, 942, 8226, 267, 13093, 1670, 1983, 543, 10324, 3252, 538, 1453, 609, 27577, 543, 5924, 11838, 2589, 630, 3008, 1040, 6396, 281, 5753, 7498, 293, 1042, 29800, 802, 523, 267, 26701, 1014, 6008, 523, 282, 7638, 23437, 14833, 267, 27118, 282, 8496, 675, 4275, 267, 1924, 325, 807, 454, 528, 12110, 267, 941, 3769, 269, 13038, 4756, 5276, 9695, 2079, 609, 15977, 631, 5960, 292, 267, 2069, 267, 4008, 267, 2085, 267, 8482, 267, 3987, 543, 8121, 310, 10157, 12773, 607, 23656, 919, 7000, 602, 2168, 2534, 729, 2404, 609, 1732, 8464, 693, 15977, 543, 476, 274, 4458, 1246, 5346, 585, 10324, 1599, 630, 21353, 5202, 281, 16061, 281, 476, 271, 269, 4375, 267, 476, 4817, 2483, 290, 597, 3626, 267, 6754, 570, 5919, 12130, 328, 752, 267, 22819, 3240, 282, 15168, 560, 267, 661, 569, 1087, 320, 282, 4446, 5886, 267, 16205, 807, 589, 5919, 966, 2795, 333, 267, 1744, 16336, 282, 4132, 267, 2549, 7701, 282, 670, 755, 517, 8862, 541, 1066, 267, 14667, 454, 763, 3804, 540, 713, 1353, 729, 547, 6218, 519, 6708, 547, 799, 2866, 602, 11363, 519, 1184, 540, 10324, 1599, 630, 9128, 264, 543, 1582, 15696, 4327, 1565, 630, 306, 12435, 264, 1131, 1267, 538, 2799, 2542, 8223, 282, 649, 849, 11117, 954, 30447, 4721, 540, 31246, 267, 590, 12435, 267, 543, 2542, 269, 1284, 1867, 606, 4603, 630, 301, 815, 476, 4037, 8772, 17603, 264, 602, 4334, 539, 1079, 7498, 10111, 28952, 267, 5153, 7315, 773, 631, 5919, 1849, 320, 868, 517, 267, 23718, 808, 5919, 15584, 267, 8402, 808, 563, 288, 2241, 834, 10339, 1833, 257, 2272, 540, 519, 6935, 1063, 10324, 1599, 630, 9128, 264, 543, 1453, 781, 3384, 3069, 540, 2247, 630, 2414, 300, 264, 814, 7411, 8051, 585, 519, 1252, 1275, 540, 519, 2242, 9648, 538, 1453, 781, 2790, 15581, 1620, 1282, 519, 9251, 1296, 269, 634, 1699, 1353, 540, 9251, 1453, 630, 301, 815, 476, 6246, 264, 4951, 602, 31246, 734, 18034, 7498, 309, 21392, 267, 715, 5861, 5919, 16816, 326, 817, 523, 267, 589, 8160, 5919, 29928, 267, 700, 13034, 5919, 8575, 1506, 267, 595, 9950, 17679, 5919, 918, 12340, 326, 601, 267, 631, 563, 763, 800, 540, 2247, 267, 519, 2702, 547, 1174, 2790, 2829, 267, 3322, 31921, 827, 1866, 262, 5042, 630, 322, 4321, 3069, 540, 2247, 264, 543, 3929, 630, 320, 8997, 3069, 540, 2247, 264, 2790, 2829, 269, 634, 1699, 1353, 8268, 519, 1909, 540, 10324, 3252, 538, 3384, 28146, 3069, 540, 2247, 2066, 454, 307, 748, 338, 5593, 268, 1320, 528, 514, 267, 631, 282, 4728, 531, 267, 674, 282, 5484, 16223, 4705, 267, 744, 282, 623, 2784, 520, 5937, 773, 25632, 267, 623, 282, 15196, 518, 267, 674, 4211, 282, 4258, 341, 793, 731, 267, 631, 454, 2414, 2708, 10324, 1599, 538, 1453, 609, 11095, 7988, 335, 571, 19333, 269, 1453, 9907, 476, 279, 1296, 547, 476, 1321, 1296, 476, 276, 3275, 693, 519, 942, 540, 519, 1353, 267, 8995, 609, 11095, 7988, 335, 571, 19333, 1063, 5130, 267, 476, 1220, 279, 543, 4864, 267, 476, 1220, 280, 676, 513, 23499, 2319, 538, 835, 2582, 4099, 269, 630, 272, 264, 7433, 7146, 1790, 523, 4290, 5778, 17595, 1670, 543, 8733, 4255, 547, 2708, 8112, 267, 4058, 267, 22629, 543, 17053, 3965, 282, 630, 273, 264, 1079, 26830, 12943, 676, 3237, 282, 630, 274, 264, 519, 1412, 14399, 781, 18181, 17130, 262, 630, 290, 6311, 1070, 606, 8733, 4305, 5340, 538, 513, 1483, 1604, 630, 10267, 341, 793, 731, 1696, 620, 1421, 476, 1220, 280, 15426, 769, 713, 2063, 1449, 267, 1453, 941, 3379, 547, 20083, 8060, 269, 6348, 268, 12407, 13011, 8579, 4255, 941, 1031, 269, 774, 597, 10117, 2550, 15548, 538, 519, 1353, 630, 1556, 8695, 268, 273, 6690, 282, 1611, 2085, 476, 1015, 269, 274, 1296, 1496, 16256, 284, 272, 269, 274, 316, 1040, 11671, 17595, 1670, 4255, 12006, 4058, 543, 22629, 4713, 267, 855, 1100, 15176, 8112, 269, 1280, 811, 982, 3368, 540, 519, 1453, 267, 519, 26830, 8612, 15176, 10324, 3252, 538, 3232, 1272, 4247, 269, 7053, 267, 2550, 4951, 513, 3648, 2799, 2557, 540, 6959, 1282, 519, 595, 6311, 267, 3379, 609, 519, 1852, 1895, 630, 303, 18244, 8995, 609, 11095, 7988, 335, 571, 19333, 849, 8858, 10324, 1599, 4713, 269, 26954, 4255, 3100, 811, 6213, 585, 7114, 10324, 1599, 4713, 982, 6671, 4255, 269, 14645, 9736, 476, 1001, 274, 29021, 7136, 517, 590, 3008, 269, 2353, 2924, 11603, 563, 7922, 3471, 517, 267, 589, 269, 715, 599, 6511, 282, 744, 262, 289, 31151, 267, 3057, 542, 282, 2274, 518, 7719, 267, 6480, 615, 631, 5919, 16205, 990, 3558, 267, 26573, 282, 595, 1779, 1231, 267, 19626, 667, 563, 7212, 21183, 1145, 814, 1419, 1044, 1336, 547, 581, 11874, 1644, 547, 6863, 267, 1906, 2090, 723, 8947, 519, 3157, 602, 3132, 610, 12189, 713, 6935, 269, 634, 1459, 1353, 8947, 10324, 8647, 1983, 543, 1753, 2825, 14242, 607, 1761, 1199, 11868, 543, 15645, 908, 6127, 269, 589, 3732, 540, 476, 274, 476, 272, 270, 273, 4458, 6040, 1453, 630, 301, 815, 476, 22724, 264, 729, 7498, 7079, 715, 773, 17703, 523, 16852, 6359, 7999, 267, 631, 5919, 8709, 10163, 267, 631, 8160, 5919, 21150, 2958, 1206, 267, 623, 12282, 5861, 8160, 5919, 966, 686, 839, 267, 589, 5919, 744, 739, 1069, 324, 6359, 518, 267, 590, 5919, 8709, 645, 758, 327, 8576, 267, 594, 5919, 4223, 628, 903, 267, 654, 563, 3080, 2245, 538, 1382, 585, 7713, 14699, 543, 24431, 3469, 2623, 814, 5059, 593, 1514, 1344, 4393, 630, 306, 7709, 1040, 20548, 1833, 543, 24431, 3469, 2623, 723, 849, 1044, 6594, 689, 519, 5133, 540, 10324, 3252, 630, 9128, 338, 1070, 519, 2362, 19195, 5042, 5759, 602, 1860, 824, 454, 6767, 22728, 1488, 618, 8457, 267, 595, 2077, 1014, 324, 25661, 807, 282, 5800, 334, 267, 1849, 5451, 644, 807, 590, 282, 21193, 337, 7236, 267, 26548, 16037, 282, 1684, 3960, 328, 25362, 1188, 328, 267, 590, 8205, 12756, 454, 2750, 1815, 5737, 22907, 21656, 519, 3355, 11775, 540, 12216, 2068, 630, 4696, 264, 543, 7646, 5042, 15717, 630, 300, 5746, 1070, 543, 616, 24802, 17047, 547, 5778, 17595, 12278, 2589, 543, 6198, 2530, 269, 634, 2832, 540, 713, 1353, 729, 547, 3313, 519, 6111, 540, 519, 19884, 10495, 540, 519, 29325, 16303, 1815, 5737, 15540, 1449, 630, 289, 4696, 306, 264, 585, 9236, 519, 2773, 1063, 2550, 609, 993, 333, 4382, 631, 5746, 630, 320, 300, 5746, 264, 543, 7646, 5084, 543, 585, 16326, 2038, 4191, 540, 19260, 538, 10324, 3252, 269, 645, 4696, 306, 729, 5340, 593, 476, 2568, 2635, 8060, 267, 476, 736, 2550, 609, 513, 300, 5746, 267, 543, 476, 2412, 7646, 21483, 5084, 2550, 630, 736, 2038, 268, 976, 564, 5084, 2550, 543, 476, 736, 3735, 268, 976, 564, 5084, 2550, 1040, 31056, 3604, 538, 6007, 2773, 941, 1336, 1851, 2516, 593, 519, 645, 4696, 306, 5705, 3949, 14329, 29196, 21998, 267, 5358, 540, 11059, 267, 25089, 10934, 267, 476, 277, 3525, 1881, 15689, 267, 543, 476, 274, 2698, 8464, 269, 7216, 2242, 538, 10324, 3252, 941, 9571, 538, 1312, 5084, 630, 597, 637, 8826, 540, 2085, 540, 12614, 264, 543, 513, 300, 5746, 2550, 269, 634, 645, 4696, 306, 9863, 3730, 585, 1114, 11868, 1063, 891, 3461, 2516, 269, 3776, 2164, 9672, 519, 4527, 540, 2038, 19260, 538, 10324, 3252, 1851, 513, 300, 5746, 543, 7646, 5084, 2550, 563, 17359, 7956, 12232, 901, 1353, 8947, 519, 2078, 1851, 10324, 1599, 267, 3961, 267, 543, 4876, 3375, 6194, 607, 1582, 3146, 19959, 676, 476, 11025, 2852, 1053, 269, 19893, 941, 13950, 3800, 540, 10324, 1599, 267, 3961, 4567, 267, 4876, 3375, 6194, 267, 543, 606, 4994, 540, 11913, 4987, 269, 2991, 9013, 585, 4987, 267, 1582, 3146, 19959, 7965, 609, 519, 1558, 659, 4321, 5057, 540, 10324, 1599, 941, 1644, 547, 2539, 2157, 540, 3961, 9740, 543, 2362 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 2009, 267, 585, 4052, 5301, 267, 547, 6460, 678, 2120, 547, 6152, 2592, 563, 19284, 678, 2120, 2592, 267, 950, 6152, 2592, 616, 24680, 539, 538, 267, 972, 568, 1100, 2530, 540, 2298, 269, 634, 4729, 2630, 729, 2813, 609, 4729, 32063, 543, 10710, 607, 513, 570, 9281, 293, 543, 7300, 3758, 269, 5637, 2592, 941, 24680, 539, 547, 476, 8517, 10065, 898, 666, 5693, 581, 2938, 602, 519, 570, 9281, 293, 814, 2530, 540, 4214, 267, 855, 972, 568, 1100, 2530, 540, 2298, 538, 519, 7300, 3758, 563, 2316, 13697, 24680, 539, 476, 8517, 14999, 14457, 24680, 539, 476, 8517, 14999, 306, 309, 294, 3758, 2813, 609, 681, 630, 1375, 6665, 476, 272, 2567, 0, 32382, 519, 1158, 540, 2860, 666, 581, 2182, 1100, 2339, 1018, 267, 855, 1256, 811, 2352, 1510, 519, 1318, 2200, 543, 2069, 269, 30586, 9435, 5516, 22598, 814, 1390, 3872, 2200, 547, 3391, 543, 948, 938, 2550, 543, 741, 1920, 2818, 2059, 519, 1259, 269, 5510, 1359, 519, 1318, 1344, 267, 1362, 267, 610, 2069, 4199, 950, 513, 3461, 2115, 621, 666, 1118, 513, 2462, 3017, 563, 1607, 5181, 519, 21111, 4065, 12243, 5950, 513, 18001, 476, 272, 11916, 2558, 10118, 27412, 267, 609, 948, 689, 519, 9061, 9435, 4659, 630, 290, 5746, 264, 18001, 476, 272, 11916, 12243, 945, 941, 519, 23594, 543, 3401, 538, 713, 960, 269, 2657, 7924, 568, 12595, 269, 28393, 1017, 569, 1004, 29860, 593, 4604, 547, 1683, 5955, 543, 1489, 547, 713, 21621, 3872, 4199, 585, 938, 2550, 543, 741, 3885, 563, 1432, 616, 18001, 594, 11916, 2558, 10118, 888, 4942, 848, 594, 8062, 1413, 693, 875, 1134, 513, 1007, 2126, 568, 7109, 730, 543, 891, 8062, 616, 1031, 547, 3313, 2126, 18262, 602, 666, 581, 9108, 2016, 547, 2550, 269, 769, 2489, 267, 18001, 594, 8062, 6218, 1007, 5574, 602, 723, 3254, 9621, 2534, 538, 519, 2978, 543, 538, 3662, 3631, 543, 5924, 1007, 3075, 10659, 269, 18001, 594, 4693, 7589, 666, 581, 6035, 547, 2550, 945, 723, 4359, 2860, 602, 3112, 581, 5701, 3927, 609, 3044, 5574, 610, 585, 799, 1100, 3044, 2126, 6818, 563, 7659, 2798, 540, 18001, 594, 4791, 8062, 912, 2791, 666, 1224, 811, 827, 18001, 594, 4791, 8062, 267, 543, 1569, 1082, 811, 2200, 676, 14467, 593, 519, 3095, 2630, 281, 4179, 2517, 4178, 269, 531, 828, 3279, 8234, 338, 26236, 28022, 270, 4754, 1356, 270, 17273, 14321, 6187, 269, 5684, 343, 0, 19865, 1281, 811, 585, 707, 1126, 982, 1175, 1832, 873, 538, 3337, 563, 288, 2834, 3635, 6296, 666, 1683, 1453, 609, 1082, 2790, 1072, 2640, 269, 3245, 2566, 8323, 547, 5355, 741, 2949, 14820, 267, 3635, 666, 948, 3214, 547, 1832, 741, 8186, 538, 3337, 7258, 741, 4703, 563, 1103, 713, 2022, 267, 649, 786, 581, 8720, 930, 540, 519, 1883, 2790, 1072, 2640, 540, 3635, 585, 1453, 2336, 2467, 666, 581, 1082, 21500, 538, 513, 1762, 1126, 779, 1272, 269, 3427, 1740, 267, 17052, 267, 8560, 267, 543, 811, 666, 782, 3565, 547, 15398, 2566, 2157, 689, 942, 547, 942, 563, 3528, 6220, 2834, 3635, 883, 707, 1126, 779, 6296, 267, 596, 666, 4001, 873, 875, 547, 4383, 741, 2566, 998, 2534, 269, 11644, 2337, 547, 2569, 2566, 676, 7133, 519, 1360, 6464, 538, 707, 1126, 779, 2634, 2336, 6097, 547, 519, 13262, 5004, 5980, 912, 2108, 21982, 851, 538, 2168, 2534, 2337, 547, 2333, 519, 2504, 540, 707, 2634, 779, 1745, 3766, 797, 30088, 267, 1439, 6973, 1231, 799, 3565, 547, 17212, 1324, 707, 2566, 2157, 3034, 31572, 12580, 540, 12870, 454, 12831, 1833, 666, 581, 513, 3978, 2790, 1072, 1966, 585, 1453, 563, 763, 2783, 666, 581, 3361, 676, 1082, 2188, 267, 2687, 547, 519, 23244, 269, 1452, 2188, 666, 1331, 912, 268, 7731, 7965, 454, 268, 7731, 1686, 540, 4965, 454, 15987, 596, 949, 711, 2141, 581, 2111, 547, 7357, 2061, 4965, 689, 7133, 707, 1453, 267, 596, 666, 4001, 873, 875, 547, 11883, 538, 513, 2635, 6073, 563, 19894, 3635, 666, 948, 547, 4383, 519, 2589, 540, 4965, 543, 1205, 707, 1126, 4743, 1732, 5488, 269, 9578, 267, 3635, 666, 581, 513, 1360, 2635, 12003, 7271, 950, 5265, 13736, 563, 2252, 596, 3494, 707, 1126, 568, 7092, 689, 4965, 267, 3343, 856, 3318, 948, 2786, 2476, 2336, 18719, 1324, 31326, 593, 5020, 454, 19865, 568, 1419, 1031, 547, 948, 2087, 519, 5042, 3206, 1983, 540, 1453, 2336, 3528, 8026, 513, 5812, 6296, 267, 707, 1126, 779, 19773, 593, 1272, 543, 2949, 14820, 666, 581, 5818, 539, 3648, 563, 12234, 267, 2834, 3635, 786, 2087, 741, 2298, 540, 1272, 607, 1134, 2336, 28716, 938, 13334, 8756, 547, 2070, 930, 1187, 5751, 585, 3214, 596, 666, 2119, 2221, 2336, 2005, 666, 581, 2352, 547, 16153, 950, 707, 1126, 568, 15508, 10010, 269, 7216, 6304, 609, 2790, 1072, 2042, 568, 1883, 2336, 19865, 2488, 1453, 609, 606, 17752, 547, 5305, 741, 2566, 543, 4383, 2589, 540, 4965, 269, 9578, 267, 621, 666, 948, 547, 4001, 3214, 2635, 12003, 6127, 2038, 593, 269, 901, 786, 948, 1832, 873, 2476, 689, 5906, 12003, 2409, 563, 763, 1655, 942, 547, 1376, 2679, 2635, 6208, 568, 2038, 593, 269, 6732, 3635, 5049, 666, 581, 513, 1390, 1259, 547, 1205, 707, 1126, 593, 513, 811, 5812, 6296, 540, 3635, 563, 299, 3089, 1176, 267, 18696, 9142, 814, 519, 2228, 5049, 585, 596, 256, 3776, 4295, 543, 11558, 5049, 666, 948, 707, 1126, 547, 2253, 5355, 741, 19773, 543, 4743, 1732, 269, 13555, 721, 585, 811, 1344, 593, 27350, 267, 610, 11578, 2221, 2336, 29222, 11644, 585, 8866, 454, 8802, 3563, 2221, 593, 4179, 2517, 25270, 659, 611, 5519, 269, 26020, 547, 4647, 707, 1101, 3992, 585, 1863, 563, 10673, 1406, 7340, 547, 1246, 721, 593, 1514, 2923, 585, 4388, 267, 10311, 543, 12353, 2591, 0, 290, 527, 714, 523, 3163, 1107, 1256, 952, 596, 5749, 1406, 5432, 609, 519, 2165, 267, 596, 4440, 917, 1018, 621, 1797, 563, 2108, 5278, 1004, 1289, 621, 2560, 1480, 14617, 6602, 2223, 1767, 31130, 15966, 718, 773, 267, 1982, 8689, 585, 519, 2817, 3163, 7690, 269, 968, 290, 527, 714, 523, 2257, 568, 513, 1259, 602, 1004, 267, 2436, 789, 616, 8036, 3744, 610, 711, 267, 666, 3565, 547, 938, 1620, 540, 519, 1158, 269, 901, 568, 513, 1390, 1259, 547, 4142, 6510, 707, 942, 267, 1648, 267, 543, 6791, 547, 3246, 4030, 883, 2257, 269, 9232, 454, 763, 22085, 293, 7482, 8013, 12504, 2257, 3785, 689, 2066, 519, 2197, 269, 1809, 952, 596, 1175, 1616, 547, 16702, 707, 19462, 538, 267, 15966, 718, 773, 15565, 519, 2233, 1805, 6621, 3896, 269, 898, 27960, 1312, 2199, 543, 2518, 15321, 3785, 563, 298, 5425, 290, 779, 5767, 12504, 2257, 1788, 568, 8970, 17810, 18640, 563, 27880, 853, 12505, 1463, 338, 519, 918, 879, 2967, 7991, 3163, 4741, 269, 2701, 6603, 856, 547, 2233, 1805, 6621, 2063, 2904, 585, 3785, 602, 1004, 1223, 798, 1247, 789, 941, 6870, 693, 1753, 563, 29467, 616, 865, 1082, 3681, 2223, 1767, 853, 12505, 269, 968, 2791, 666, 798, 3785, 593, 707, 2780, 693, 1753, 267, 2070, 1239, 689, 8331, 267, 2070, 2564, 1239, 2560, 7536, 2691, 918, 879, 320, 685, 328, 556, 641, 2989, 267, 519, 918, 5425, 290, 3459, 5356, 12504, 2257, 3785, 693, 922, 538, 16512, 32764, 4811, 13607, 2621, 269, 901, 4832, 267, 5171, 666, 9062, 13862, 5810, 543, 9742, 16313, 17984, 563, 306, 1399, 534, 1767, 519, 3804, 540, 519, 918, 879, 2967, 7991, 3163, 4741, 568, 547, 1118, 2257, 3015, 543, 948, 1004, 1294, 621, 607, 851, 540, 741, 3232, 2729, 563, 2108, 4517, 594, 1589, 602, 779, 606, 3693, 540, 12504, 2257, 267, 621, 2731, 2306, 621, 865, 602, 4896, 666, 581, 513, 10196, 269, 769, 4641, 267, 952, 596, 2479, 2307, 513, 2243, 267, 596, 616, 513, 10196, 267, 9232, 306, 1399, 534, 5143, 11316, 685, 328, 5398, 15571, 563, 11328, 1613, 609, 31130, 15966, 718, 773, 543, 8861, 853, 12505, 454, 23613, 667, 12495, 1185, 1082, 2055, 950, 646, 4718, 1010, 1101, 2494, 340, 27984, 11860, 19476, 8038, 936, 519, 10754, 540, 12968, 565, 21343, 269, 769, 476, 1001, 277, 646, 8547, 519, 12504, 2257, 3919, 13535, 328, 2494, 340, 27984, 11860, 19476, 547, 4786, 519, 21224, 4609, 540, 519, 5065, 3043, 512, 1716, 563, 19669, 1768, 985, 9566, 782, 936, 519, 2749, 540, 12968, 565, 21343, 269, 21816, 17621, 15623, 15223, 684, 614, 8524, 338, 513, 9566, 538, 519, 1647, 540, 513, 22125, 18736, 2603, 563, 2108, 2026, 1455, 607, 789, 616, 267, 711, 1454, 568, 1634, 827, 873, 269, 901, 1175, 8604, 899, 513, 1390, 4316, 2223, 667, 12495, 1767, 269, 12866, 1296, 2663, 267, 13535, 328, 2494, 340, 27984, 11860, 19476, 814, 513, 3638, 1305, 540, 1239, 593, 519, 9960, 3270, 540, 519, 3043, 512, 1716, 563, 2108, 3080, 3621, 4466, 602, 649, 1500, 1759, 593, 938, 7422, 729, 602, 789, 9742, 1032, 15778, 543, 602, 789, 723, 513, 2362, 982, 8912, 1967, 2557, 2223, 667, 12495, 1767, 563, 295, 517, 565, 21343, 568, 519, 1152, 1747, 593, 519, 1292, 22963, 10195, 1141, 3043, 1768, 985, 9566, 543, 741, 2551, 568, 3395, 269, 1306, 513, 1267, 267, 13535, 328, 2494, 340, 27984, 11860, 19476, 2115, 811, 4074, 982, 2479, 563, 2108, 295, 14241, 2494, 340, 27984, 11860, 19476, 2731, 12346, 593, 12504, 3744, 547, 2097, 543, 979, 2223, 1767, 20917, 15223, 684, 614, 267, 835, 540, 519, 3919, 779, 13538, 269, 968, 31010, 519, 1239, 786, 581, 4101, 607, 519, 3043, 512, 1716, 2551, 538, 12968, 565, 21343, 4679, 3034, 11328, 1613, 609, 15623, 15223, 684, 614, 543, 6762, 667, 12495, 454, 4407, 930, 12504, 2257, 7341, 1445, 593, 835, 2249, 267, 1866, 2445, 1239, 593, 606, 3003, 5117, 563, 295, 1177, 2967, 328, 654, 2967, 744, 5055, 267, 24018, 593, 513, 2147, 11036, 593, 31410, 328, 267, 568, 2324, 609, 4557, 7649, 3906, 547, 2932, 1216, 2298, 7403, 538, 918, 7431, 267, 23664, 334, 543, 3162, 918, 2129, 8403, 269, 1358, 2268, 3388, 689, 24952, 543, 2837, 547, 4551, 543, 5567, 602, 666, 1860, 1312, 938, 1072, 543, 938, 18625, 563, 295, 1177, 2967, 328, 654, 2967, 744, 5055, 568, 16475, 922, 1101, 20165, 540, 13538, 713, 4864, 563, 292, 878, 320, 28828, 345, 568, 835, 540, 519, 3401, 540, 519, 1982, 543, 13922, 621, 786, 7668, 1004, 547, 1491, 15896, 540, 741, 5032, 338, 269, 968, 296, 4076, 2938, 938, 18625, 1689, 269, 1656, 621, 779, 711, 1175, 2229, 4031, 602, 786, 4368, 602, 2560, 594, 1589, 649, 607, 2146, 2818, 666, 1118, 513, 3017, 1932, 2223, 1767, 28828, 345, 563, 11328, 1613, 609, 18238, 320, 28828, 345, 454, 292, 961, 523, 15966, 718, 773, 3081, 519, 3173, 7048, 593, 891, 7104, 12504, 3646, 563, 2108, 290, 527, 714, 523, 2257, 568, 2731, 1271, 1317, 621, 2337, 609, 513, 1297, 540, 1114, 2055, 602, 3744, 3112, 2626, 593, 741, 1378, 3034, 3719, 15966, 718, 773, 3081, 602, 585, 18299, 523, 3163, 547, 2731, 723, 606, 1764, 267, 596, 723, 547, 581, 3238, 538, 519, 1279, 2165, 563, 2108, 2691, 1004, 4585, 5017, 610, 2445, 1216, 1239, 610, 6895, 1018, 779, 538, 16036, 1141, 267, 621, 1175, 3085, 1406, 960, 585, 513, 1032, 547, 2731, 1174, 519, 1062, 2223, 1767, 15966, 718, 773, 269, 968, 2791, 723, 547, 798, 602, 585, 5756, 269, 25569, 338, 540, 1296, 616, 1256, 1732, 3034, 2005, 4992, 899, 972, 3884, 1406, 513, 1732, 942, 547, 1376, 563, 4322, 11042, 941, 8385, 13739, 593, 634, 22062, 566, 269, 0, 763, 15016, 6598, 1857, 814, 1044, 6998, 1018, 616, 519, 5820, 538, 519, 10074, 4867, 1373, 6035, 267, 543, 2063, 10543, 267, 1282, 519, 3803, 4884, 10689, 5870, 593, 5046, 268, 866, 12674, 543, 4152, 267, 693, 519, 1290, 828, 332, 699, 3427, 267, 3220, 269, 16016, 5090, 595, 3784, 321, 2255, 12943, 602, 2243, 563, 25938, 1640, 6481, 20229, 267, 3220, 269, 595, 3784, 321, 2255, 267, 1282, 1200, 6881, 2913, 779, 13185, 476, 275, 281, 26805, 519, 11485, 540, 5046, 268, 866, 538, 15016, 15606, 267, 6045, 1018, 519, 1114, 2010, 540, 10074, 3343, 547, 3035, 563, 9515, 1767, 281, 968, 2467, 616, 1896, 1114, 2010, 540, 10074, 269, 3962, 1826, 568, 2966, 547, 4001, 707, 4761, 1062, 875, 547, 4339, 1055, 17900, 543, 519, 3978, 3676, 789, 2014, 269, 634, 5354, 540, 10074, 1031, 1996, 5046, 268, 866, 616, 1018, 616, 1572, 968, 10113, 5108, 892, 10074, 269, 1358 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1455, 547, 891, 4238, 6343, 616, 519, 11393, 540, 4259, 909, 513, 5599, 7601, 269, 7476, 12313, 454, 11514, 23955, 2986, 14086, 21019, 454, 26794, 1656, 32539, 2986, 14086, 21019, 269, 22436, 543, 11393, 540, 5599, 7601, 1002, 616, 519, 11393, 540, 4259, 909, 513, 5599, 7601, 534, 476, 2641, 267, 476, 1001, 273, 538, 669, 850, 606, 659, 25352, 568, 711, 513, 13131, 267, 621, 568, 1454, 8338, 519, 606, 659, 25352, 5599, 1071, 606, 659, 25352, 568, 606, 1930, 14816, 9553, 4092, 538, 513, 6552, 7187, 1858, 515, 2324, 2175, 540, 519, 19379, 568, 11609, 538, 519, 27576, 1019, 2456, 269, 7476, 12313, 454, 26794, 1656, 32539, 2986, 21019, 14086, 595, 4629, 310, 291, 10933, 4429, 14257, 476, 2767, 476, 1001, 276, 519, 1082, 5383, 540, 11895, 5599, 621, 568, 1896, 21159, 2362, 689, 922, 4505, 12605, 799, 729, 1152, 476, 1556, 1296, 11895, 2504, 568, 6059, 547, 581, 476, 4510, 272, 2929, 9748, 540, 7626, 19011, 1645, 476, 271, 4649, 2600, 19695, 543, 476, 28318, 2600, 2941, 701, 267, 26794, 1656, 32539, 2986, 21019, 14086, 269, 7476, 12313, 454, 763, 22436, 543, 32539, 540, 21019, 26932, 532, 454, 11321, 476, 736, 267, 476, 1001, 275, 6440, 634, 22436, 543, 32539, 540, 21019, 26932, 532, 769, 519, 1279, 1686, 540, 21818, 267, 1082, 1114, 2326, 723, 1044, 1031, 267, 4358, 609, 17860, 539, 719, 3574, 269, 769, 519, 5736, 540, 2413, 11255, 21818, 267, 519, 1034, 2442, 1570, 585, 1082, 5756, 729, 27647, 1242, 5374, 267, 799, 9863, 811, 14463, 982, 1022, 4496, 1031, 1354, 269, 7476, 12313, 454, 1432, 3657, 519, 22436, 543, 32539, 540, 14086, 4429, 300, 1456, 3947, 1004, 513, 6712, 540, 519, 2200, 2877, 585, 2413, 10340, 267, 855, 621, 666, 849, 1291, 547, 2825, 2800, 269, 2755, 930, 616, 538, 3870, 540, 5599, 1813, 547, 519, 2200, 621, 7472, 543, 519, 6009, 621, 2488, 538, 519, 2073, 930, 616, 10353, 547, 5599, 1759, 593, 11685, 547, 16160, 5599, 2853, 543, 2825, 4145, 269, 7476, 12313, 454, 4134, 23955, 540, 5599, 7601, 454, 763, 22436, 540, 7046, 16381, 14086, 1923, 2233, 9760, 269, 3057, 476, 1724, 267, 476, 1001, 279, 6440, 7046, 8486, 5599, 1281, 2709, 930, 5383, 936, 2757, 2620, 14788, 5599, 269, 16381, 5599, 568, 811, 1942, 2500, 982, 14788, 5599, 1317, 811, 7626, 666, 581, 13939, 543, 811, 3533, 269, 634, 2324, 2175, 616, 10930, 585, 519, 19379, 1317, 972, 568, 1100, 1981, 540, 13946, 538, 610, 6757, 3154, 269, 7476, 12313, 454, 763, 1082, 5383, 540, 11895, 5599, 454, 14257, 476, 2767, 267, 476, 1001, 276, 6440, 25214, 6340, 267, 11895, 5599, 711, 1152, 17990, 519, 5599, 1858, 779, 3312, 1106, 855, 849, 3947, 519, 5599, 2754, 2362, 19614, 269, 4340, 547, 2073, 1279, 13665, 5599, 267, 513, 1826, 540, 11895, 5599, 602, 18252, 513, 1279, 13665, 1352, 13145, 267, 6589, 585, 476, 2004, 2600, 540, 5755, 15183, 538, 519, 1158, 543, 568, 1454, 10930, 982, 824, 2409, 540, 5755, 5599, 269, 7476, 12313, 454, 763, 22436, 540, 14086, 7108, 1923, 3776, 12815, 1307, 454, 31339, 2804, 1646, 568, 835, 540, 519, 3119, 5383, 585, 5599, 4154, 538, 4207, 2053, 269, 7108, 5599, 568, 513, 5823, 540, 4123, 543, 1870, 602, 6608, 946, 547, 2560, 7476, 12313, 454, 11514, 23955, 2986, 14086, 21019, 454, 11514, 23955, 2986, 14086, 21019, 269, 1284, 616, 513, 2434, 525, 7051, 10672, 21751, 538, 6721, 1585, 5599, 6191, 1519, 1114, 2010, 540, 5070, 543, 18574, 3937, 267, 17819, 3937, 267, 7777, 4393, 3937, 543, 2679, 2326, 3937, 269, 1656, 789, 616, 5631, 1031, 547, 24807, 21432, 6886, 899, 4154, 543, 7601, 7626, 267, 8407, 899, 3267, 7476, 12313, 454, 1432, 616, 519, 5383, 543, 19319, 540, 5599, 888, 300, 1456, 568, 513, 2707, 540, 7777, 2200, 1271, 585, 4509, 543, 18175, 15665, 2713, 4441, 269, 898, 568, 519, 10868, 540, 3407, 543, 1875, 516, 2908, 762, 6886, 610, 824, 17027, 6878, 689, 519, 3618, 269, 7476, 12313, 454, 26794, 543, 10241, 540, 21019, 543, 21019, 2353, 1195, 623, 19072, 4429, 290, 32111, 568, 513, 1360, 13811, 850, 543, 544, 4150, 762, 4496, 269, 20668, 3812, 689, 7601, 543, 7601, 18585, 32340, 849, 723, 5140, 13811, 1006, 269, 634, 20436, 566, 540, 20399, 543, 521, 842, 1229, 623, 19072, 7601, 267, 21567, 543, 19695, 8988, 2694, 9832, 909, 547, 476, 3374, 260, 538, 835, 10759, 269, 21019, 543, 7601, 19668, 23212, 616, 11259, 547, 513, 2647, 3099, 540, 1351, 4592, 633, 5054, 269, 7476, 12313, 454, 6343, 616, 930, 5383, 543, 11393, 547, 5599, 7601, 454, 290, 32111, 14086, 543, 16743, 538, 16266, 13961, 655, 839, 269, 16266, 781, 4346, 12434, 15186, 689, 7601, 5599, 269, 3267, 2368, 540, 519, 4600, 15754, 2299, 1289, 519, 9553, 513, 2030, 320, 598, 620, 2742, 2443, 513, 12051, 609, 513, 3267, 968, 6624, 16266, 753, 1616, 547, 723, 519, 5383, 540, 7601, 2504, 855, 711, 519, 11393, 269, 2859, 3877, 9732, 5192, 12313, 7476, 12313, 454, 26794, 543, 2591, 540, 2799, 21734, 4429, 26794, 543, 2591, 540, 2799, 21734, 7601, 946, 543, 7601, 5599, 269, 4432, 7666, 785, 328, 808, 263, 272, 1070, 670, 7776, 2473, 267, 6931, 962, 267, 1325, 342, 987, 333, 8643, 22743, 267, 1284, 328, 717, 267, 681, 14819, 595, 269, 8191, 1344, 281, 630, 272, 264, 23430, 540, 14606, 267, 4826, 267, 543, 7025, 3163, 267, 2160, 540, 14151, 267, 570, 1075, 5459, 267, 589, 313, 476, 5952, 278, 2641, 267, 7330, 269, 7476, 12313, 0, 1432, 568, 519, 6632, 11687, 1747, 538, 519, 1158, 286, 1215, 1281, 621, 5635, 609, 519, 6632, 11687, 1747, 538, 519, 2136, 2276, 888, 297, 574, 3240, 12070, 5112, 267, 9628, 454, 763, 1158, 2594, 23649, 585, 13247, 568, 631, 1177, 27675, 1090, 538, 2725, 724, 531, 11535, 3557, 267, 3127, 267, 609, 476, 5379, 278, 269, 3607, 6279, 540, 11811, 12422, 269, 634, 2034, 2914, 9116, 652, 4087, 4422, 547, 22216, 1905, 684, 10202, 267, 849, 538, 2725, 724, 531, 11535, 3557, 267, 3127, 267, 609, 476, 5379, 274, 269, 5780, 6279, 540, 13247, 12422, 269, 1452, 1079, 4025, 267, 4092, 538, 27040, 3127, 267, 616, 1152, 827, 4557, 5195, 6306, 563, 1103, 519, 2136, 2276, 267, 519, 6632, 11687, 5544, 568, 6778, 20613, 658, 324, 1446, 593, 519, 6532, 540, 918, 879, 2967, 538, 519, 22963, 11866, 269, 16316, 13247, 972, 568, 476, 29121, 269, 876, 6279, 269, 769, 519, 476, 4366, 733, 27631, 2829, 267, 519, 6632, 11687, 4087, 568, 589, 828, 1372, 523, 1763, 969, 7546, 538, 6115, 609, 3328, 21496, 13247, 540, 476, 9873, 269, 2568, 6279, 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 ]
[ 0, 258, 5426, 476, 274, 13004, 630, 14537, 13004, 264, 6015, 3955, 10094, 692, 19400, 454, 25486, 8784, 906, 454, 258, 272, 454, 2691, 519, 1973, 2604, 568, 6027, 1079, 2338, 616, 6592, 563, 763, 2362, 540, 519, 1079, 2338, 568, 519, 2268, 540, 519, 30918, 4301, 2604, 267, 799, 568, 519, 2604, 593, 519, 1973, 8043, 950, 519, 2295, 20054, 563, 763, 30918, 4301, 2604, 540, 14038, 267, 538, 28935, 540, 22358, 630, 7825, 32074, 1070, 568, 7363, 609, 1611, 13179, 543, 13065, 476, 3953, 454, 763, 1611, 30918, 4301, 2604, 540, 513, 4351, 3732, 540, 476, 2412, 14038, 568, 476, 10755, 6515, 32074, 454, 320, 264, 18430, 513, 476, 4200, 260, 6015, 3955, 10094, 585, 13179, 454, 321, 264, 621, 568, 10645, 602, 14038, 723, 513, 1611, 30918, 4301, 2604, 540, 476, 10441, 6515, 32074, 692, 296, 2731, 6560, 609, 713, 865, 621, 581, 865, 5363, 952, 2576, 1223, 979, 998, 621, 454, 8310, 12995, 676, 2469, 273, 325, 841, 282, 476, 273, 3275, 3516, 454, 271, 454, 273, 3275, 3516, 454, 258, 273, 454, 263, 24314, 2022, 676, 2469, 273, 325, 841, 994, 2691, 519, 1973, 2604, 568, 6027, 1079, 2338, 616, 6592, 563, 763, 2362, 540, 519, 1079, 2338, 568, 519, 2268, 540, 519, 30918, 4301, 2604, 267, 799, 568, 519, 2604, 593, 519, 1973, 8043, 950, 519, 2295, 20054, 563, 763, 30918, 4301, 2604, 540, 14038, 267, 538, 28935, 540, 22358, 630, 7825, 32074, 1070, 568, 7363, 609, 1611, 13179, 543, 13065, 476, 3953, 454, 763, 1611, 30918, 4301, 2604, 540, 513, 4351, 3732, 540, 476, 2412, 14038, 568, 476, 10755, 6515, 32074, 454, 320, 264, 18430, 513, 476, 4200, 260, 6015, 3955, 10094, 585, 13179, 454, 321, 264, 621, 568, 10645, 602, 14038, 723, 513, 1611, 30918, 4301, 2604, 540, 476, 10441, 6515, 32074, 692, 296, 2731, 6560, 609, 713, 865, 621, 581, 865, 5363, 952, 2576, 1223, 979, 998, 621, 454, 1432, 798, 596, 1174, 827, 519, 1966, 4882, 1828, 888, 3674, 713, 513, 1435, 331, 1227, 2139, 981, 2243, 910, 952, 865, 267, 666, 596, 1683, 513, 3095, 2496, 10059, 2517, 25669, 331, 867, 582, 3073, 3052, 603, 889, 269, 1470, 270, 3667, 318, 1862, 517, 6361, 8584, 1790, 11258, 454, 529, 513, 10257, 7650, 267, 855, 621, 786, 581, 4988, 538, 707, 1837, 563, 271, 454, 258, 274, 454, 263, 24314, 2022, 676, 544, 336, 321, 28510, 277, 994, 1432, 798, 596, 1174, 827, 519, 1966, 4882, 1828, 888, 3674, 713, 513, 1435, 331, 1227, 2139, 981, 2243, 910, 952, 865, 267, 666, 596, 1683, 513, 3095, 2496, 10059, 2517, 25669, 331, 867, 582, 3073, 3052, 603, 889, 269, 1470, 270, 3667, 318, 1862, 517, 6361, 8584, 1790, 11258, 454, 529, 513, 10257, 7650, 267, 855, 621, 786, 581, 4988, 538, 707, 1837, 563, 311, 1341, 1990, 6398, 263, 17385, 13478, 13645, 8905, 540, 562, 2020, 2005, 1589, 2473, 815, 476, 10755, 6515, 32074, 454, 313, 815, 273, 269, 6872, 277, 454, 17385, 284, 12384, 3597, 540, 476, 3953, 630, 1317, 540, 13065, 994, 333, 284, 476, 2412, 692, 7617, 9411, 883, 519, 3830, 3160, 476, 9083, 269, 3583, 547, 476, 13040, 269, 1789, 269, 1809, 594, 6415, 711, 2436, 594, 723, 12943, 1018, 519, 2243, 12134, 803, 547, 2626, 454, 4517, 1287, 594, 6415, 711, 2386, 827, 2243, 536, 692, 2080, 568, 519, 1957, 621, 568, 2243, 476, 274, 513, 543, 536, 269, 898, 568, 1175, 1517, 869, 519, 14649, 12222, 692, 10059, 2517, 16344, 652, 648, 18502, 32142, 3820, 16896, 270, 637, 712, 322, 1862, 304, 268, 4456, 268, 1708, 272, 6185, 8016, 311, 454, 272, 454, 273, 3275, 3516, 454, 258, 275, 454, 263, 24314, 2022, 676, 2469, 273, 325, 841, 994, 311, 1341, 1990, 6398, 263, 17385, 13478, 13645, 8905, 540, 562, 2020, 2005, 1589, 2473, 815, 476, 10755, 6515, 32074, 454, 313, 815, 273, 269, 6872, 277, 454, 17385, 284, 12384, 3597, 540, 476, 3953, 630, 1317, 540, 13065, 994, 333, 284, 476, 2412, 692, 7617, 9411, 883, 519, 3830, 3160, 476, 9083, 269, 3583, 547, 476, 13040, 269, 1789, 269, 1809, 594, 6415, 711, 2436, 594, 723, 12943, 1018, 519, 2243, 12134, 803, 547, 2626, 454, 4517, 1287, 594, 6415, 711, 2386, 827, 2243, 536, 692, 2080, 568, 519, 1957, 621, 568, 2243, 476, 274, 513, 543, 536, 269, 898, 568, 1175, 1517, 869, 519, 14649, 12222, 692, 12552, 267, 707, 2338, 616, 1318, 269, 1677, 581, 8746, 538, 606, 981, 267, 596, 1058, 2119, 543, 1174, 519, 1909, 540, 519, 1114, 2694, 540, 519, 4542, 563, 265, 1403, 519, 3044, 11539, 540, 519, 3312, 3892, 568, 1804, 267, 596, 9364, 2503, 596, 2811, 1611, 7447, 547, 4268, 811, 269, 901, 568, 8197, 519, 2013, 607, 519, 3044, 11539, 540, 519, 1611, 7447, 568, 29178, 4882, 5720, 3799, 994, 265, 1403, 596, 723, 811, 1239, 267, 596, 9364, 2503, 519, 1611, 7447, 547, 581, 1732, 630, 341, 776, 1447, 1040, 901, 568, 8197, 519, 2013, 607, 519, 3044, 11539, 540, 519, 1611, 7447, 568, 5258, 676, 21762, 3799, 1916, 265, 2201, 3328, 267, 596, 9364, 2503, 707, 1611, 7447, 547, 581, 3160, 547, 519, 3020, 1611, 269, 1924, 519, 6015, 8884, 568, 10704, 593, 519, 1611, 7447, 1341, 25773, 1990, 265, 18406, 4882, 5720, 3799, 1916, 265, 634, 6015, 8884, 23403, 519, 703, 24834, 538, 799, 596, 2503, 519, 3020, 1611, 267, 547, 513, 476, 4200, 260, 6015, 538, 713, 2013, 267, 547, 9114, 780, 3383, 585, 536, 264, 1281, 519, 1239, 1489, 1315, 1201, 1393, 519, 10645, 1611, 540, 476, 10441, 693, 513, 476, 4200, 260, 1377, 2496, 9616, 267, 621, 2731, 568, 4502, 2348, 513, 1224, 998, 519, 3296, 540, 707, 1837, 563, 8310, 12995, 676, 544, 336, 321, 28510, 277, 282, 476, 273, 3275, 3516, 454, 273, 454, 258, 276, 454, 263, 24314, 2022, 676, 544, 336, 321, 28510, 277, 994, 12552, 267, 707, 2338, 616, 1318, 269, 1677, 581, 8746, 538, 606, 981, 267, 596, 1058, 2119, 543, 1174, 519, 1909, 540, 519, 1114, 2694, 540, 519, 4542, 563, 265, 1403, 519, 3044, 11539, 540, 519, 3312, 3892, 568, 1804, 267, 596, 9364, 2503, 596, 2811, 1611, 7447, 547, 4268, 811, 269, 901, 568, 8197, 519, 2013, 607, 519, 3044, 11539, 540, 519, 1611, 7447, 568, 29178, 4882, 5720, 3799, 994, 265, 1403, 596, 723, 811, 1239, 267, 596, 9364, 2503, 519, 1611, 7447, 547, 581, 1732, 630, 341, 776, 1447, 1040, 901, 568, 8197, 519, 2013, 607, 519, 3044, 11539, 540, 519, 1611, 7447, 568, 5258, 676, 21762, 3799, 1916, 265, 2201, 3328, 267, 596, 9364, 2503, 707, 1611, 7447, 547, 581, 3160, 547, 519, 3020, 1611, 269, 1924, 519, 6015, 8884, 568, 10704, 593, 519, 1611, 7447, 1341, 25773, 1990, 265, 18406, 4882, 5720, 3799, 1916, 265, 634, 6015, 8884, 23403, 519, 703, 24834, 538, 799, 596, 2503, 519, 3020, 1611, 267, 547, 513, 476, 4200, 260, 6015, 538, 713, 2013, 267, 547, 9114, 780, 3383, 585, 536, 264, 1281, 519, 1239, 1489, 1315, 1201, 1393, 519, 10645, 1611, 540, 476, 10441, 693, 513, 476, 4200, 260, 1377, 2496, 9616, 267, 621, 2731, 568, 4502, 2348, 513, 1224, 998, 519, 3296, 540, 707, 1837, 563, 14188, 596, 602, 729, 2731, 5363, 454, 272, 454, 273, 3275, 3516, 454, 258, 277, 454, 263, 24314, 2022, 676, 2469, 273, 325, 841, 994, 2691, 519, 1973, 2604, 568, 6027, 1079, 2338, 616, 6592, 563, 763, 2362, 540, 519, 1079, 2338, 568, 519, 2268, 540, 519, 30918, 4301, 2604, 267, 799, 568, 519, 2604, 593, 519, 1973, 8043, 950, 519, 2295, 20054, 563, 763, 30918, 4301, 2604, 540, 14038, 267, 538, 28935, 540, 22358, 630, 7825, 32074, 1070, 568, 7363, 609, 1611, 13179, 543, 13065, 476, 3953, 454, 763, 1611, 30918, 4301, 2604, 540, 513, 4351, 3732, 540, 476, 2412, 14038, 568, 476, 10755, 6515, 32074, 454, 320, 264, 18430, 513, 476, 4200, 260, 6015, 3955, 10094, 585, 13179, 454, 321, 264, 621, 568, 10645, 602, 14038, 723, 513, 1611, 30918, 4301, 2604, 540, 476, 10441, 6515, 32074, 692, 296, 2731, 6560, 609, 713, 865, 621, 581, 865, 5363, 952, 2576, 1223, 979, 998, 621, 454, 328, 849, 1185, 713, 2243, 585, 519, 1957, 621, 11821, 803, 865, 1454, 267, 519, 1152, 2243, 1775, 1336, 2653, 538, 713, 729, 519, 1360, 2063, 835, 827, 2367, 543, 2021, 2295, 2557, 563, 271, 454, 273, 3275, 3516, 454, 258, 278, 454, 342, 692, 263, 24314, 2022, 676, 2469, 273, 325, 841, 994, 311, 1341, 1990, 6398, 263, 17385, 13478, 13645, 8905, 540, 562, 2020, 2005, 1589, 2473, 815, 476, 10755, 6515, 32074, 454, 313, 815, 273, 269, 6872, 277, 454, 17385, 284, 12384, 3597, 540, 476, 3953, 630, 1317, 540, 13065, 994, 333, 284, 476, 2412, 692, 7617, 9411, 883, 519, 3830, 3160, 476, 9083, 269, 3583, 547, 476, 13040, 269, 1789, 269, 1809, 594, 6415, 711, 2436, 594, 723, 12943, 1018, 519, 2243, 12134, 803, 547, 2626, 454, 4517, 1287, 594, 6415, 711, 2386, 827, 2243, 536, 692, 2080, 568, 519, 1957, 621, 568, 2243, 476, 274, 513, 543, 536, 269, 898, 568, 1175, 1517, 869, 519, 14649, 12222, 692, 10059, 2517, 16344, 652, 648, 18502, 32142, 3820, 16896, 270, 637, 712, 322, 1862, 304, 268, 4456, 268, 1708, 272, 6185, 8016, 311, 454, 342, 27626, 1775, 729, 2484, 1055, 689, 602, 267, 1775, 6854, 3257, 4351, 1919, 593, 519, 9498, 454, 272, 454, 258, 279, 454, 263, 24314, 2022, 676, 570, 345, 8500, 1075, 615, 787, 994, 342, 692, 342, 27626, 1775, 729, 2484, 1055, 689, 602, 267, 1775, 6854, 3257, 4351, 1919, 593, 519, 9498, 454, 2710, 596, 1589, 594, 6415, 1318, 286, 1548, 2186, 540, 2055, 1705, 596, 1205, 286, 594, 4312, 3893, 1250, 4295, 13004, 1957, 693, 476, 273, 10975, 2221, 6930, 354, 366, 454, 271, 454, 311, 692, 2908, 9708, 454, 12988, 454, 1729, 1283, 454, 30238, 454, 7069, 16376, 692, 2162, 744, 3591, 267, 18864, 814, 11540, 514, 519, 2063, 1906, 3108, 780, 3963, 711, 556, 3613, 691, 519, 6643, 2496, 5408, 811, 692, 2162, 6423, 811, 540, 1018, 596, 899, 593, 763, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 2162, 15724, 692, 18794, 519, 4901, 692, 2971, 1215, 1131, 596, 1745, 952, 796, 328, 1053, 2877, 547, 581, 5595, 18764, 547, 1376, 538, 4201, 4379, 2496, 296, 9364, 1745, 15260, 3293, 827, 1250, 1378, 1072, 630, 278, 994, 1704, 269, 5881, 14999, 296, 9364, 1745, 15260, 3293, 1250, 1565, 949, 581, 1447, 22314, 676, 5248, 725, 270, 6674, 23957, 630, 1556, 994, 2918, 269, 10695, 14999, 296, 9364, 1745, 1447, 14221, 827, 1373, 1472, 1804, 2516, 630, 273, 994, 275, 269, 6434, 14999, 296, 1810, 1405, 2247, 952, 1866, 616, 18764, 610, 711, 630, 276, 994, 1321, 269, 273, 14999, 296, 6415, 7255, 621, 949, 19319, 930, 1053, 630, 272, 994, 273, 269, 4510, 14999, 296, 1589, 621, 781, 606, 15490, 20772, 630, 1691, 994, 4097, 269, 1428, 14999, 306, 15036, 3116, 630, 339, 749, 721, 538, 519, 8142, 264, 630, 272, 994, 273, 269, 4510, 260, 0, 258, 10724, 4804, 568, 8342, 1107, 3487, 476, 278, 1107, 1548, 568, 22953, 2496, 18704, 454, 8698, 518, 28951, 692, 6524, 4358, 2221, 779, 1888, 267, 594, 1616, 547, 2446, 513, 1360, 1271, 1448, 269, 7490, 1118, 2386, 596, 723, 4988, 519, 1523, 540, 519, 2798, 799, 594, 723, 5018, 538, 1250, 2063, 2022, 593, 661, 6395, 1184, 780, 2252, 596, 616, 1434, 609, 602, 267, 1287, 1577, 779, 8399, 780, 3383, 267, 1018, 568, 9695, 286, 898, 1797, 3843, 547, 1265, 856, 1022, 6935, 1063, 610, 1851, 4632, 780, 11039, 267, 865, 1018, 2186, 540, 6935, 286, 12430, 286, 28065, 267, 610, 1022, 1114, 7455, 2496, 311, 815, 6520, 692, 312, 284, 27551, 692, 5978, 3804, 568, 547, 1265, 856, 519, 6935, 1063, 2085, 543, 4463, 269, 1284, 723, 930, 10471, 2348, 1079, 9587, 2473, 543, 962, 269, 1656, 649, 616, 3843, 547, 1265, 856, 519, 1871, 540, 962, 609, 519, 2016, 1871, 540, 2473, 780, 2710, 596, 3314, 519, 8715, 600, 564, 673, 4542, 538, 1153, 2395, 2496, 312, 284, 332, 311, 266, 290, 692, 288, 2786, 1899, 4542, 593, 513, 476, 273, 291, 4729, 2348, 2473, 543, 962, 7852, 780, 2171, 616, 3843, 547, 3035, 519, 1655, 3514, 1899, 952, 649, 4729, 519, 2016, 1239, 1305, 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 ]
[ 2931, 543, 24726, 941, 2469, 519, 824, 1259, 269, 3973, 519, 8004, 12134, 875, 1082, 941, 2469, 519, 824, 1259, 543, 8761, 519, 6310, 2626, 689, 1200, 9273, 281, 476, 18231, 272, 269, 8330, 517, 1639, 267, 519, 7911, 20781, 267, 834, 1692, 827, 602, 286, 15323, 300, 4696, 12139, 2899, 1031, 538, 835, 540, 922, 4930, 519, 1739, 1612, 1328, 1384, 2026, 594, 729, 2469, 547, 853, 269, 594, 1407, 454, 296, 1558, 513, 812, 609, 5722, 24726, 454, 8170, 1576, 267, 519, 5722, 24726, 14201, 1405, 1010, 454, 3719, 1934, 538, 5333, 267, 602, 781, 875, 621, 568, 0, 1012, 10789, 543, 26344, 5852, 476, 1015, 628, 9990, 692, 7445, 15238, 347, 11927, 349, 343, 347, 10559, 15238, 263, 272, 2275, 657, 317, 273, 343, 21174, 15238, 347, 322, 2675, 349, 343, 349, 5913, 349, 343, 347, 14204, 7445, 15238, 347, 11927, 349, 343, 347, 10559, 15238, 263, 272, 2275, 657, 317, 273, 343, 21174, 15238, 21702, 346, 347, 11927, 349, 343, 347, 2410, 272, 2275, 657, 317, 273, 343, 18098, 15238, 21702, 346, 24689, 2765, 346, 7562, 349, 343, 2410, 6523, 349, 343, 348, 347, 2410, 7562, 317, 273, 343, 18098, 15238, 24689, 2765, 346, 272, 2410, 7562, 349, 343, 349, 6523, 349, 343, 348, 347, 7807, 15238, 347, 322, 2675, 349, 343, 349, 5913, 349, 343, 347, 259, 18564, 602, 1269, 7562, 317, 273, 343, 284, 347, 7562, 317, 273, 343, 347, 259, 0, 15507, 11000, 476, 272, 692, 1012, 23738, 16375, 25705, 692, 1432, 1533, 786, 594, 581, 538, 1310, 2921, 1978, 3527, 267, 610, 1310, 1978, 9696, 540, 2621, 2496, 5804, 713, 649, 666, 2601, 827, 1880, 9696, 540, 3527, 835, 1058, 14892, 547, 3035, 513, 14909, 1533, 780, 15507, 568, 513, 12985, 1505, 585, 13830, 513, 1880, 4528, 540, 555, 338, 2186, 540, 7744, 780, 1012, 21290, 513, 1966, 607, 513, 3406, 1966, 692, 2171, 991, 692, 1892, 3557, 2230, 454, 1892, 589, 1533, 568, 513, 6041, 540, 513, 12122, 540, 519, 1966, 6389, 269, 634, 1533, 2230, 568, 513, 1305, 540, 2829, 3769, 538, 938, 2203, 540, 519, 1966, 563, 1892, 589, 2388, 610, 1533, 2230, 13289, 454, 1892, 589, 2388, 891, 2203, 519, 3527, 540, 519, 1966, 6389, 269, 769, 938, 2203, 519, 6389, 3527, 616, 24018, 607, 4847, 13289, 1063, 1533, 563, 1892, 19461, 610, 1376, 1533, 543, 3804, 454, 1892, 634, 3355, 1533, 543, 519, 1710, 658, 3804, 1533, 630, 528, 3804, 2783, 994, 1892, 1261, 584, 2524, 454, 1892, 12085, 547, 3391, 519, 3406, 1184, 692, 1012, 27122, 692, 5629, 519, 1966, 814, 1044, 19775, 267, 649, 666, 946, 1585, 6620, 547, 4194, 519, 1966, 780, 1012, 11310, 2276, 692, 1805, 919, 991, 711, 4786, 2047, 547, 1158, 19383, 269, 5502, 267, 513, 1533, 1223, 4786, 547, 1702, 2829, 269, 589, 1702, 1533, 568, 513, 1305, 540, 1158, 2829, 267, 1169, 1158, 1533, 602, 596, 3494, 547, 581, 2009, 780, 2252, 596, 1413, 693, 1169, 1158, 1533, 538, 513, 1702, 1533, 267, 543, 2307, 1018, 568, 3020, 538, 1169, 835, 540, 873, 267, 602, 602, 568, 519, 1249, 596, 917, 780, 2252, 519, 8665, 6487, 4986, 267, 519, 1169, 1158, 1533, 568, 1369, 519, 1702, 1533, 780, 1012, 2859, 13216, 32163, 725, 692, 1892, 589, 2388, 666, 1291, 547, 2789, 2829, 281, 16212, 513, 11777, 454, 1892, 901, 1291, 547, 2625, 8494, 2065, 3631, 602, 649, 786, 1865, 2663, 454, 1892, 32652, 1522, 581, 9280, 609, 15392, 3527, 454, 1892, 8827, 1223, 2270, 8371, 267, 585, 1383, 952, 13897, 1287, 29186, 780, 15507, 11000, 476, 273, 692, 9590, 3406, 6620, 960, 609, 17697, 569, 3989, 1533, 5624, 269, 1703, 616, 3335, 606, 12825, 1297, 540, 2829, 267, 799, 1797, 649, 616, 7543, 547, 12799, 5581, 873, 782, 780, 29995, 649, 1152, 4020, 2829, 649, 991, 547, 269, 9747, 519, 3527, 616, 2016, 607, 11741, 24288, 1533, 3252, 602, 950, 2016, 513, 1533, 1535, 2132, 519, 1305, 540, 1533, 590, 666, 581, 9927, 547, 676, 519, 2139, 3527, 269, 2608, 901, 1797, 602, 519, 1533, 1590, 2270, 2614, 1344, 547, 1450, 519, 24288, 1533, 1599, 547, 1685, 922, 19106, 780, 19152, 338, 585, 3406, 692, 1892, 513, 9138, 3355, 1533, 594, 454, 1892, 513, 24288, 1599, 590, 3287, 264, 11729, 519, 1305, 540, 782, 2829, 2962, 8424, 630, 344, 28083, 264, 971, 602, 1533, 586, 666, 581, 6603, 689, 1535, 676, 7311, 606, 2962, 513, 269, 634, 24288, 1599, 7024, 782, 2829, 3914, 762, 676, 513, 2582, 2962, 689, 1533, 1535, 563, 1892, 513, 3804, 1449, 1599, 717, 3287, 264, 602, 666, 581, 4294, 547, 513, 1533, 1535, 543, 7024, 3020, 952, 1535, 25389, 519, 3804, 2783, 563, 1892, 606, 2962, 1942, 1599, 595, 3287, 28083, 11971, 264, 799, 11887, 519, 1942, 540, 3001, 689, 1533, 1535, 547, 1533, 586, 1210, 2962, 513, 780, 20479, 540, 3406, 692, 1892, 513, 5311, 540, 3527, 602, 21810, 519, 3355, 1533, 547, 513, 1533, 17598, 519, 3804, 1449, 563, 1892, 610, 1175, 519, 5311, 540, 2829, 602, 8451, 689, 891, 3527, 563, 1892, 13689, 593, 519, 5690, 267, 1114, 3977, 6148, 3977, 1540, 780, 288, 2619, 538, 519, 3406, 2230, 568, 513, 5311, 540, 2829, 4448, 676, 3527, 269, 634, 1942, 540, 519, 2619, 568, 3274, 519, 2040, 540, 782, 3790, 630, 1492, 1942, 1599, 595, 6393, 303, 23411, 666, 581, 6740, 607, 513, 6292, 5627, 519, 3803, 1533, 540, 519, 2619, 543, 513, 24072, 547, 519, 3105, 1533, 780, 2171, 2226, 513, 1305, 540, 10092, 1572, 519, 20525, 2894, 1305, 630, 528, 20281, 1040, 21231, 649, 1305, 20525, 2894, 815, 11513, 283, 9359, 3557, 315, 285, 348, 780, 4263, 1142, 1900, 649, 2824, 513, 2619, 533, 689, 20525, 2894, 780, 1892, 6744, 952, 533, 8807, 1400, 3890, 25389, 519, 3804, 563, 1892, 1403, 711, 649, 1039, 782, 24909, 540, 533, 547, 20525, 2894, 454, 1892, 585, 782, 24288, 2829, 586, 538, 590, 9638, 8807, 1400, 3890, 1070, 1711, 513, 1007, 2619, 533, 14729, 815, 1422, 283, 335, 11971, 315, 285, 630, 2169, 754, 519, 2619, 533, 547, 1331, 513, 5912, 547, 519, 1533, 586, 1916, 1892, 5457, 547, 4894, 533, 454, 15507, 263, 13449, 267, 590, 267, 3804, 286, 2187, 13449, 27044, 263, 283, 11034, 285, 2187, 6112, 711, 1930, 269, 24105, 10031, 335, 815, 1930, 269, 2169, 847, 3890, 1948, 4894, 2619, 689, 20525, 2894, 454, 604, 3804, 286, 263, 335, 8807, 1400, 3890, 2187, 8873, 533, 454, 12828, 912, 1721, 13151, 538, 590, 9638, 8807, 1400, 3890, 2187, 13449, 27044, 263, 283, 335, 267, 13151, 285, 994, 8873, 7301, 7531, 2691, 513, 2619, 533, 568, 13939, 689, 1930, 267, 649, 2161, 602, 519, 5690, 21040, 533, 780, 763, 1931, 10092, 616, 5697, 689, 20525, 2894, 814, 513, 2565, 1198, 593, 519, 5106, 540, 519, 3406, 281, 2608, 6787, 610, 711, 513, 3070, 568, 1336, 2608, 634, 1942, 540, 519, 3070, 1336, 2608, 634, 942, 543, 2230, 2838, 676, 519, 3406, 692, 15368, 1227, 649, 616, 6998, 875, 547, 1931, 519, 20525, 2894, 1305, 780, 1892, 7388, 28467, 454, 1892, 4024, 519, 3406, 2141, 1265, 513, 3070, 952, 513, 3070, 6818, 888, 1892, 19630, 1275, 454, 1892, 786, 519, 3406, 2141, 1265, 519, 2547, 1942, 3070, 888, 1892, 5384, 6988, 454, 1892, 1018, 568, 519, 5021, 1297, 540, 10092, 602, 666, 581, 9450, 610, 6383, 888, 1892, 6611, 6988, 454, 1892, 5021, 1297, 540, 2619, 602, 616, 2322, 593, 20525, 2894, 692, 1012, 1133, 514, 11526, 9612, 11150, 692, 4322, 616, 2994, 602, 9772, 513, 6378, 4341, 585, 8939, 519, 1985, 1533, 547, 581, 9450, 780, 2690, 1383, 281, 645, 12396, 267, 31538, 8779, 267, 667, 12396, 267, 3493, 628, 17290, 267, 594, 614, 894, 12213, 2287, 9612, 780, 20278, 519, 1007, 10092, 602, 8831, 519, 1699, 2619, 693, 519, 1439, 540, 20525, 2894, 269, 20525, 2894, 568, 513, 20313, 269, 11408, 1349, 1101, 3693, 540, 20525, 2894, 780, 4467, 921, 28467, 286, 8786, 267, 649, 786, 4983, 782, 10092, 267, 865, 649, 786, 1265, 513, 3070, 952, 621, 6818, 269, 630, 8117, 649, 1522, 723, 513, 12808, 4494, 6393, 18893, 574, 1275, 286, 3502, 2731, 267, 2705, 649, 798, 2141, 1265, 519, 20125, 3070, 780, 11742, 6988, 286, 2913, 536, 581, 519, 5021, 1297, 540, 1967, 832, 540, 1022, 1533, 630, 10946, 2711, 4839, 4221, 3815, 1040, 2913, 546, 581, 519, 3178, 540, 519, 20125, 3070, 269, 634, 942, 6988, 568, 1269, 302, 6357, 3867, 323, 266, 272, 348, 7751, 780, 22129, 6988, 286, 1269, 302, 6357, 3867, 323, 266, 272, 16585, 6911, 289, 12396, 3335, 2196, 856, 540, 2230, 1354, 649, 2196, 856, 540, 942, 538, 1034, 3156, 780, 15507, 11000, 476, 274, 692, 1892, 5901, 20525, 2894, 10288, 676, 2810, 1942, 540, 519, 2619, 563, 1892, 11408, 4228, 519, 2547, 1942, 2619, 563, 1892, 5772, 673, 547, 4560, 1101, 952, 1142, 2962, 814, 519, 1482, 1942, 780, 4692, 946, 513, 1295, 13463, 777, 547, 3035, 713, 780, 4467, 921, 28467, 2496, 1892, 1403, 1142, 5912, 814, 3790, 4399, 28254, 1422, 22668, 3436, 476, 271, 14204, 1892, 21261, 585, 645, 12396, 6585, 1934, 692, 18893, 574, 1275, 2496, 1892, 4855, 338, 6099, 3070, 952, 1142, 5912, 814, 1942, 4399, 28254, 1422, 22668, 3436, 476, 271, 14204, 1892, 4112, 2803, 10092, 538, 519, 3406, 2230, 538, 2810, 1931, 540, 1942, 269, 1924, 1590, 1265, 5934, 1942, 2619, 547, 513, 3804, 1354, 4466, 1022, 2362, 3790, 10092, 3056, 547, 513, 3804, 269, 0, 427, 375, 379, 14424, 8454, 1923, 2979, 11687, 2181, 1706, 566, 2593, 454, 3724, 547, 829, 17038, 5040, 692, 258, 24951, 8454, 609, 519, 1482, 19362, 543, 1114, 32159, 692, 7078, 912, 24718, 1079, 8454, 476, 1240, 270, 11463, 543, 476, 1240, 270, 10602, 267, 799, 6824, 568, 3152, 888, 11405, 912, 13828, 8454, 723, 519, 1482, 19362, 476, 1240, 563, 763, 1101, 6824, 814, 519, 14009, 476, 11463, 454, 763, 2034, 6824, 814, 519, 14009, 476, 10602, 454, 7712, 476, 11463, 3436, 476, 10602, 267, 865, 476, 272, 270, 11463, 2999, 476, 272, 270, 10602, 454, 11997, 267, 476, 1240, 270, 11463, 2999, 476, 1240, 270, 10602, 563, 305, 2544, 1384, 2691, 1079, 8454, 723, 519, 1482, 19362, 267, 519, 1871, 540, 6824, 609, 3677, 21000, 3729, 568, 1447, 982, 519, 1871, 540, 519, 6824, 609, 1507, 14009, 269, 0, 258, 5295, 10022, 23830, 540, 23692, 263, 272, 266, 278, 343, 2020, 1892, 7328, 331, 1478, 3607, 454, 1103, 5758, 267, 972, 616, 1079, 2081, 547, 1265, 513, 1379, 3126, 6041, 585, 513, 1599, 899, 535, 3287, 6661, 23692, 263, 272, 266, 278, 343, 1040, 2290, 1505, 3322, 2921, 16755, 540, 519, 1599, 267, 1247, 519, 824, 1505, 568, 18334, 543, 3322, 4466, 513, 1379, 3126, 585, 476, 278, 14370, 272, 1341, 476, 278, 343, 264, 815, 476, 272, 14370, 343, 1341, 476, 272, 270, 278, 1040, 634, 4276, 1063, 23692, 263, 272, 1341, 476, 278, 343, 264, 543, 476, 272, 14370, 343, 1341, 476, 272, 270, 278, 264, 568, 602, 741, 16755, 616, 3160, 547, 1142, 824, 267, 610, 23692, 263, 272, 1341, 476, 278, 343, 264, 666, 581, 6719, 607, 606, 7533, 540, 476, 278, 14370, 272, 1341, 476, 278, 343, 264, 15848, 269, 1717, 267, 519, 2953, 1145, 540, 519, 1267, 949, 581, 30940, 563, 338, 1636, 331, 1478, 3607, 454, 6011, 666, 1775, 1265, 513, 1379, 3126, 6041, 585, 513, 1599, 899, 535, 3287, 6661, 23692, 263, 272, 266, 278, 343, 264, 2496, 338, 1636, 331, 1478, 3607, 1767, 912, 6011, 666, 1775, 1265, 513, 1379, 3126, 6041, 585, 513, 1599, 899, 535, 3287, 6661, 23692, 263, 272, 266, 278, 343, 25145, 2467, 616, 693, 2547, 1079, 2081, 269, 2290, 568, 1360, 7344, 543, 3322, 2921, 519, 16755, 540, 707, 1599, 269, 634, 824, 568, 4440, 513, 2603, 18334, 269, 2052, 596, 1265, 513, 1379, 3126, 585, 476, 278, 14370, 272, 1341, 476, 278, 343, 264, 815, 476, 272, 14370, 343, 1341, 476, 272, 270, 278, 21663, 1548, 781, 519, 4276, 1063, 23692, 263, 272, 1341, 476, 278, 343, 264, 543, 476, 272, 14370, 343, 1341, 476, 272, 270, 278, 264, 2496, 3412, 711, 2731, 2386, 1018, 519, 4276, 568, 855, 1775, 3893, 713, 693, 519, 2626, 1862, 1492, 2040, 566, 689, 562, 284, 272, 547, 20581, 910, 278, 343, 18898, 14672, 692, 763, 4276, 568, 602, 546, 7933, 343, 10857, 333, 263, 272, 1341, 476, 278, 343, 264, 815, 476, 278, 14370, 272, 1341, 476, 278, 343, 1070, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2878, 17345, 5149, 281, 14400, 8890, 560, 30142, 1431, 4373, 5970, 596, 2479, 9289, 1018, 621, 781, 899, 547, 960, 538, 519, 1870, 1158, 286, 2107, 875, 4079, 2097, 909, 609, 1007, 2472, 267, 2533, 267, 543, 2081, 547, 2087, 938, 2729, 998, 9297, 286, 1403, 865, 267, 1287, 713, 1576, 1770, 827, 2608, 11764, 1067, 8890, 560, 30142, 1431, 265, 538, 6355, 1299, 13188, 1522, 1175, 581, 3501, 585, 596, 256, 1635, 3695, 1114, 4876, 10092, 1369, 4213, 543, 1565, 827, 22631, 1222, 3255, 1572, 834, 8999, 1067, 25566, 7158, 2437, 596, 666, 1376, 3206, 827, 707, 2104, 1247, 1869, 11981, 1647, 1153, 780, 1262, 1432, 1281, 513, 4832, 25566, 798, 15140, 5331, 1373, 2016, 513, 5692, 547, 4194, 13410, 602, 1223, 1689, 875, 513, 2754, 13333, 610, 5932, 1007, 2472, 1107, 602, 781, 9247, 1018, 513, 4832, 25566, 4991, 547, 798, 256, 4438, 741, 942, 2324, 609, 513, 1870, 936, 519, 4832, 2736, 267, 891, 4648, 946, 741, 1983, 547, 5659, 1239, 267, 1382, 3466, 267, 1020, 2994, 267, 543, 1711, 7840, 585, 741, 12820, 269, 1358, 616, 1419, 2852, 1053, 11543, 3407, 1995, 1354, 789, 10927, 267, 855, 930, 1164, 3506, 2709, 3292, 602, 1450, 7820, 1053, 547, 7119, 1932, 780, 4131, 781, 1491, 4793, 878, 807, 4860, 3241, 3279, 2871, 599, 10109, 334, 607, 606, 1383, 269, 2701, 779, 513, 2875, 945, 1140, 1742, 3502, 516, 667, 877, 630, 320, 4583, 6280, 264, 543, 1568, 851, 6066, 693, 741, 4741, 585, 19396, 4886, 1282, 1200, 1863, 942, 269, 3487, 540, 1200, 2816, 2882, 4543, 824, 1053, 1205, 4712, 585, 11042, 543, 1818, 2386, 741, 759, 6979, 1413, 1390, 269, 901, 1826, 540, 1909, 2337, 1200, 1451, 1271, 1983, 1352, 786, 991, 950, 7311, 585, 6009, 1310, 22692, 269, 9578, 267, 1352, 14560, 6616, 602, 1352, 779, 1818, 513, 3017, 676, 5885, 1866, 2439, 1262, 3963, 1058, 594, 1416, 827, 4742, 513, 4832, 25566, 1631, 15140, 2791, 949, 1589, 602, 4358, 547, 2263, 11678, 899, 713, 4667, 2038, 267, 2523, 952, 596, 2811, 1152, 538, 1647, 1153, 1318, 1631, 269, 1809, 1705, 596, 917, 602, 2348, 2833, 543, 4598, 547, 1585, 4610, 3947, 596, 606, 5413, 2663, 538, 1272, 286, 898, 2636, 596, 547, 1174, 1732, 799, 2127, 1719, 596, 1034, 543, 13071, 596, 1628, 1898, 1983, 2877, 538, 1022, 3924, 269, 3958, 267, 1082, 3549, 4782, 17849, 23078, 945, 2907, 6591, 4143, 1995, 3842, 22631, 4721, 267, 971, 607, 4832, 25566, 5107, 269, 1924, 1946, 7227, 2394, 1164, 1153, 610, 2852, 950, 972, 616, 5863, 3255, 2139, 4505, 2496, 1262, 1692, 666, 594, 1831, 513, 4832, 25566, 15140, 2414, 2244, 835, 540, 891, 524, 913, 1540, 9634, 267, 1101, 1445, 593, 3257, 1134, 27268, 1765, 18034, 538, 5396, 1644, 547, 4569, 267, 3163, 267, 543, 5678, 8551, 269, 1452, 5049, 4001, 2565, 3206, 267, 1966, 6061, 267, 2792, 267, 543, 16542, 1983, 2556, 585, 1967, 538, 1022, 2361, 269, 5822, 267, 2119, 4466, 29599, 2238, 267, 15731, 267, 610, 15321, 3906, 5059, 593, 1870, 610, 2804, 2035, 269, 1280, 3236, 267, 10283, 538, 23769, 8062, 267, 9840, 267, 610, 2883, 7924, 11925, 2982, 11036, 543, 6612, 585, 2123, 2208, 269, 7053, 267, 2259, 13033, 609, 4648, 538, 1268, 610, 2228, 547, 4228, 707, 4296, 543, 2307, 2055, 827, 1761, 23761, 269, 5457, 267, 3006, 621, 781, 711, 2141, 827, 1018, 596, 917, 855, 7247, 596, 917, 2439, 1262, 6962, 16001, 18698, 11678, 899, 4832, 25566, 7158, 10741, 9885, 585, 11995, 7399, 543, 22316, 596, 585, 6505, 20304, 6619, 269, 6787, 596, 5326, 540, 2870, 5499, 8924, 267, 8888, 4264, 6752, 3515, 267, 5883, 18083, 267, 610, 3056, 6887, 4724, 14262, 8906, 267, 1620, 519, 9238, 540, 6355, 1299, 13188, 5036, 596, 6306, 689, 1866, 269, 5808, 6487, 286, 9320, 14693, 4166, 267, 649, 3513, 1224, 827, 707, 18517, 538, 513, 12139, 2376, 610, 4585, 873, 11200, 2661, 593, 7641, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27237, 3918, 667, 28719, 623, 772, 292, 681, 15674, 681, 594, 595, 744, 454, 307, 21764, 5508, 28132, 19006, 476, 6734, 22295, 7728, 11550, 293, 6579, 2464, 454, 1015, 9338, 9331, 25712, 11550, 293, 6579, 2464, 454, 27237, 3918, 667, 28719, 1923, 29706, 12224, 302, 681, 2975, 302, 454, 297, 10224, 24883, 22513, 5451, 526, 14162, 454, 2304, 320, 1924, 325, 17144, 14100, 340, 778, 454, 296, 8359, 3502, 516, 667, 877, 1317, 594, 6785, 594, 4941, 513, 1747, 1141, 1169, 2582, 9997, 1131, 917, 519, 620, 2742, 544, 831, 676, 2295, 282, 594, 6785, 594, 4941, 513, 1747, 1141, 2828, 267, 20485, 267, 543, 1256, 1004, 594, 8806, 917, 1131, 1616, 547, 1294, 803, 8853, 269, 1879, 14045, 1063, 1896, 1283, 4081, 5238, 267, 3502, 516, 667, 877, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 338, 2146, 729, 519, 8159, 3815, 563, 303, 2969, 30278, 8656, 11555, 309, 308, 5085, 14011, 30316, 17751, 2793, 19447, 267, 29706, 12224, 302, 681, 2975, 302, 14160, 19798, 5508, 476, 1708, 271, 674, 2562, 23814, 454, 4263, 3502, 516, 667, 877, 267, 594, 723, 1044, 1360, 3742, 593, 1312, 519, 3028, 543, 4081, 5011, 269, 4495, 829, 3018, 267, 585, 1383, 267, 594, 979, 547, 513, 3162, 645, 754, 1153, 547, 20131, 3214, 538, 2296, 543, 2979, 269, 594, 993, 849, 519, 3028, 10243, 518, 585, 1250, 15335, 10689, 267, 25640, 782, 540, 922, 3028, 3785, 269, 14936, 267, 594, 960, 851, 6066, 693, 3502, 516, 667, 877, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 338, 4741, 585, 19396, 4886, 267, 1141, 594, 948, 1053, 5965, 585, 11042, 543, 32432, 741, 759, 6979, 269, 2290, 540, 1250, 7957, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11764, 1067, 8890, 560, 30142, 1431, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 5516, 619, 1315, 769, 3179, 4721, 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, 4495, 2390, 513, 942, 267, 538, 513, 18932, 3039, 4104, 1572, 24442, 6807, 267, 5030, 1614, 1655, 2828, 910, 15207, 519, 10326, 267, 22123, 519, 8293, 597, 7758, 267, 543, 25381, 519, 16819, 269, 1358, 6068, 741, 4104, 1753, 543, 6170, 741, 2395, 4730, 543, 3695, 1927, 780, 3080, 1554, 267, 789, 8068, 1945, 9490, 8345, 269, 634, 4365, 729, 3478, 28555, 982, 8912, 267, 543, 519, 5757, 729, 4881, 3819, 269, 1358, 4956, 547, 8495, 543, 4682, 593, 606, 7045, 547, 1265, 856, 1018, 729, 4929, 891, 2242, 780, 2026, 789, 3460, 539, 4514, 883, 519, 4104, 267, 789, 4718, 1804, 6191, 5969, 1524, 4054, 543, 4862, 10978, 21089, 269, 1358, 941, 28280, 547, 1294, 865, 1454, 9552, 538, 741, 2899, 4190, 1753, 269, 22582, 267, 789, 1558, 6004, 269, 5700, 527, 718, 267, 513, 8797, 2025, 22559, 267, 945, 6045, 547, 873, 602, 3425, 941, 5969, 1524, 4054, 585, 741, 1378, 946, 1510, 9544, 1007, 3283, 269, 901, 1184, 568, 1572, 17717, 780, 16031, 269, 5700, 527, 718, 5143, 873, 602, 7733, 616, 1898, 585, 938, 4541, 1317, 789, 948, 1852, 519, 2916, 676, 21716, 543, 13936, 3327, 8166, 267, 513, 3154, 602, 20637, 3002, 538, 519, 5790, 269, 1809, 950, 4054, 616, 2759, 1524, 267, 782, 602, 6740, 3327, 8166, 4991, 5950, 1394, 883, 519, 2011, 267, 7700, 547, 2916, 1689, 269, 1261, 849, 1767, 602, 7733, 1683, 5321, 585, 6634, 540, 1114, 7068, 899, 873, 543, 948, 10038, 519, 1216, 4783, 269, 9453, 4054, 267, 519, 3618, 3587, 1447, 7123, 267, 3056, 547, 3037, 11761, 543, 21463, 538, 519, 1216, 4783, 780, 306, 958, 4280, 952, 972, 729, 4376, 789, 1223, 798, 547, 3247, 17717, 269, 6004, 269, 5700, 527, 718, 6700, 602, 789, 13599, 1866, 827, 519, 2956, 540, 7733, 543, 5000, 3025, 547, 2030, 811, 4054, 269, 2060, 1010, 5583, 267, 519, 2468, 334, 3323, 513, 5859, 547, 4688, 741, 4104, 267, 10825, 4656, 827, 519, 5739, 2360, 540, 17717, 543, 28409, 1004, 547, 1491, 2962, 780, 19013, 267, 5103, 741, 3646, 267, 519, 3441, 1185, 2907, 1044, 2944, 269, 3509, 540, 741, 3662, 2828, 1185, 4503, 741, 5321, 267, 543, 519, 4365, 4797, 547, 1205, 28555, 269, 1717, 267, 789, 4121, 513, 3407, 3992, 827, 2921, 1416, 540, 741, 1604, 543, 6956, 602, 1256, 1507, 3527, 1223, 1118, 513, 2462, 3017, 269, 3245, 1287, 593, 267, 789, 12247, 539, 547, 2149, 741, 6967, 4104, 543, 960, 2509, 19620, 621, 267, 15691, 602, 835, 1554, 267, 24442, 6807, 1131, 2132, 547, 922, 5449, 18710, 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, 18658, 616, 519, 2942, 5222, 540, 17717, 543, 875, 666, 649, 2232, 873, 888, 763, 2942, 5222, 540, 17717, 616, 3875, 543, 2484, 23568, 269, 3371, 616, 930, 540, 873, 1384, 272, 269, 8693, 7827, 281, 5983, 7370, 10110, 543, 4558, 3327, 8166, 267, 513, 8511, 3154, 602, 8309, 547, 2518, 8337, 269, 667, 4078, 23667, 13847, 713, 3327, 8166, 1394, 883, 519, 5790, 267, 799, 5012, 547, 606, 2333, 538, 519, 8511, 1198, 780, 273, 269, 13809, 540, 26085, 281, 5983, 7370, 616, 1753, 547, 6634, 540, 2249, 540, 2371, 543, 2831, 267, 1082, 540, 799, 616, 13155, 269, 667, 4078, 23667, 30001, 9249, 543, 7519, 338, 8134, 267, 3056, 547, 519, 14486, 540, 1082, 2249, 780, 274, 269, 14606, 661, 12509, 281, 19029, 3180, 3037, 538, 1747, 609, 741, 5072, 267, 3246, 6617, 543, 7303, 11761, 269, 1879, 4054, 616, 6569, 267, 3037, 11761, 4679, 267, 799, 666, 1291, 547, 26949, 1938, 267, 16095, 16435, 1938, 543, 3037, 12159, 780, 275, 269, 4826, 18888, 2598, 8306, 281, 19029, 1404, 513, 4105, 1909, 538, 15725, 519, 1216, 4783, 269, 1879, 4054, 616, 6569, 267, 519, 1216, 4783, 568, 22314, 267, 799, 666, 1291, 547, 10980, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 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, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 1572, 5682, 6807, 267, 5030, 1079, 1655, 2828, 3957, 6341, 543, 5981, 269, 1358, 6068, 12202, 543, 3576, 1416, 540, 741, 2146, 4677, 1927, 269, 2290, 1554, 267, 789, 8068, 602, 741, 5388, 941, 711, 3395, 607, 1134, 607, 1354, 267, 5103, 1210, 6266, 540, 21743, 26005, 602, 741, 7023, 6004, 269, 9652, 5795, 873, 269, 1452, 8141, 569, 26005, 941, 10991, 18168, 602, 16219, 18932, 10651, 543, 29667, 3814, 3771, 341, 3949, 780, 10501, 1190, 267, 6341, 543, 5981, 4956, 547, 8495, 1946, 741, 2371, 14201, 1405, 14762, 899, 789, 1031, 547, 269, 2060, 948, 689, 15516, 269, 23846, 267, 741, 8797, 2257, 4116, 267, 789, 4121, 875, 10991, 18168, 1860, 3037, 1072, 269, 2311, 1101, 267, 891, 9589, 11491, 2737, 8604, 547, 1118, 2371, 1332, 5488, 676, 3246, 2556, 5567, 899, 9436, 267, 16903, 267, 543, 11379, 269, 1809, 950, 1932, 1082, 540, 1346, 695, 20810, 532, 10007, 941, 3773, 267, 3983, 1919, 3323, 8345, 256, 14606, 2968, 11877, 267, 610, 3679, 1881, 282, 4105, 7103, 5747, 1813, 547, 796, 29446, 6886, 282, 543, 2011, 22836, 8709, 1639, 1317, 540, 3037, 735, 9146, 267, 1818, 621, 2182, 585, 5072, 547, 13236, 269, 2353, 891, 2042, 3366, 547, 4389, 2030, 2208, 543, 1447, 17705, 19787, 780, 291, 17827, 547, 1265, 513, 3070, 267, 6341, 267, 5981, 267, 543, 15516, 269, 23846 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3501, 532, 519, 1184, 2443, 1318, 1631, 519, 1034, 3811, 5180, 814, 1152, 4547, 1394, 476, 2004, 2600, 540, 519, 2699, 1973, 2281, 563, 5445, 2811, 5059, 593, 6908, 23164, 519, 18024, 1505, 543, 18440, 909, 519, 2179, 540, 2699, 1973, 2281, 602, 789, 666, 1184, 693, 513, 942, 269, 9093, 2763, 1767, 602, 789, 991, 827, 1269, 4335, 267, 1822, 547, 2731, 7903, 621, 593, 563, 257, 2467, 616, 1079, 2629, 7405, 602, 594, 1589, 1131, 1450, 721, 547, 3142, 519, 1788, 4464, 2437, 646, 1767, 563, 763, 2319, 2907, 814, 827, 1269, 10219, 267, 1822, 538, 513, 2817, 4659, 540, 2657, 9886, 269, 6271, 22078, 295, 9886, 267, 799, 1131, 3142, 538, 1776, 1269, 7742, 267, 1822, 267, 568, 533, 2056, 13170, 269, 1656, 519, 2319, 814, 4294, 585, 513, 1269, 16020, 267, 1822, 9886, 998, 519, 2817, 3163, 7690, 563, 24464, 2763, 1767, 602, 789, 786, 1376, 2324, 593, 15018, 3731, 1973, 585, 3662, 4152, 1360, 4166, 269, 1358, 1589, 789, 666, 1376, 4791, 8062, 609, 2831, 538, 519, 1985, 2947, 3275, 563, 5475, 789, 723, 519, 6169, 602, 621, 1568, 267, 789, 786, 979, 547, 519, 4108, 585, 811, 7616, 563, 13202, 529, 1767, 789, 4312, 4956, 547, 3077, 519, 4108, 1317, 602, 781, 945, 2322, 856, 519, 1289, 585, 713, 1826, 540, 8798, 538, 519, 1101, 1747, 563, 257, 5445, 723, 1044, 3843, 585, 1896, 5756, 547, 1118, 513, 2361, 13816, 4288, 2437, 646, 1767, 269, 834, 4517, 713, 1788, 568, 519, 9663, 1492, 560, 267, 594, 1589, 267, 602, 4896, 814, 2097, 2059, 865, 2484, 4799, 7437, 1010, 6075, 6602, 2443, 1282, 799, 646, 14437, 547, 827, 476, 2004, 1199, 923, 543, 824, 2564, 4648, 2443, 646, 1336, 856, 602, 827, 476, 2412, 2600, 540, 4108, 7972, 616, 1813, 547, 2530, 540, 1973, 563, 24464, 2763, 849, 14659, 789, 3513, 581, 2111, 547, 1376, 4152, 519, 13816, 16272, 593, 3425, 2656, 652, 676, 2469, 998, 519, 4108, 563, 257, 2252, 596, 616, 11702, 593, 519, 2361, 543, 596, 2901, 5884, 585, 2386, 610, 596, 723, 513, 1973, 630, 10520, 325, 4288, 264, 602, 814, 513, 5594, 2362, 1981, 982, 513, 2834, 1973, 13816, 4288, 267, 1287, 596, 3580, 4440, 1491, 519, 1981, 2437, 646, 1767, 269, 0, 3725, 2224, 2986, 570, 25683, 454, 288, 1007, 8546, 1058, 581, 1031, 950, 16459, 513, 1007, 12483, 269, 570, 25683, 1332, 538, 3028, 267, 2921, 513, 8628, 1305, 540, 827, 476, 1839, 260, 3677, 982, 519, 3312, 2450, 269, 901, 2306, 513, 1031, 8546, 1932, 1804, 547, 946, 538, 513, 1007, 12483, 267, 799, 1223, 2014, 513, 23743, 548, 543, 1291, 547, 8546, 5821, 563, 13126, 281, 6153, 20204, 570, 790, 5516, 1299, 20904, 6651, 476, 6021, 270, 7176, 454, 5825, 539, 589, 7878, 570, 25683, 454, 288, 7878, 13740, 616, 1500, 540, 2067, 12285, 543, 616, 1500, 5594, 9207, 1125, 267, 865, 789, 786, 3514, 3362, 883, 513, 1007, 12483, 269, 589, 7878, 2389, 790, 726, 625, 616, 1500, 540, 562, 14125, 267, 543, 786, 834, 326, 992, 257, 5594, 538, 3028, 269, 634, 8546, 786, 849, 1332, 267, 543, 786, 5555, 1491, 513, 8628, 1305, 547, 519, 630, 852, 264, 3677, 3330, 2389, 790, 10155, 269, 1403, 713, 1631, 2000, 24147, 8546, 568, 2663, 2322, 883, 513, 1007, 12483, 267, 621, 949, 581, 1932, 1804, 585, 519, 3330, 2389, 790, 13570, 267, 609, 519, 1267, 602, 519, 8546, 949, 723, 26642, 538, 621, 269, 769, 3028, 267, 891, 26642, 949, 5555, 5957, 998, 543, 6861, 519, 8546, 781, 2702, 547, 3180, 2011, 269, 589, 3500, 9849, 998, 786, 1267, 538, 513, 3500, 24694, 540, 2011, 267, 543, 519, 12681, 786, 581, 10332, 539, 547, 519, 1966, 1354, 621, 3587, 1932, 3978, 269, 1717, 267, 952, 519, 8546, 568, 14324, 538, 513, 1880, 1491, 4752, 267, 519, 12483, 786, 4440, 979, 6366, 538, 4571, 25101, 267, 1510, 519, 12681, 2348, 7691, 1018, 568, 4636, 269, 25392, 519, 4220, 538, 5368, 560, 16226, 513, 1031, 7961, 1068, 4209, 267, 649, 4363, 513, 1007, 8546, 8704, 538, 513, 1007, 12483, 563, 13126, 281, 7981, 1399, 570, 790, 8605, 6651, 0, 29241, 8100, 16643, 2511, 454, 288, 11985, 630, 26410, 5626, 7681, 264, 2511, 568, 1034, 4749, 1031, 1369, 519, 1514, 9443, 267, 538, 1931, 547, 13712, 1585, 2959, 713, 16643, 11239, 3391, 267, 15428, 269, 4201, 11703, 1568, 11855, 543, 15853, 11249, 585, 15986, 267, 16643, 543, 669, 8522, 14121, 12350, 1014, 11239, 6163, 1631, 7028, 476, 278, 628, 7160, 540, 15986, 269, 25737, 9724, 568, 513, 1863, 16643, 267, 15986, 543, 669, 8522, 11239, 11718, 5352, 8100, 267, 12190, 13132, 267, 538, 17856, 14327, 543, 2140, 3817, 3533, 543, 8308, 1031, 676, 269, 476, 4962, 23891, 4231, 476, 1001, 272, 3040, 16643, 2511, 281, 538, 17856, 11239, 3040, 2985, 476, 272, 540, 476, 273, 3040, 2139, 2228, 693, 281, 8940, 331, 764, 9254, 15828, 3869, 270, 15276, 11305, 2787, 16643, 2511, 568, 513, 1305, 540, 4808, 269, 476, 272, 16643, 2511, 4704, 14327, 5399, 4199, 3391, 1018, 568, 513, 4704, 11239, 513, 4704, 11239, 568, 519, 12319, 2877, 547, 1118, 707, 1957, 11807, 269, 1215, 547, 13712, 7270, 267, 552, 268, 9248, 267, 11042, 267, 3068, 1504, 267, 1000, 7867, 267, 3381, 630, 1122, 267, 596, 32353, 264, 543, 798, 529, 946, 538, 17856, 14327, 630, 2254, 3723, 17084, 264, 543, 13712, 8100, 630, 2254, 513, 563, 14300, 540, 16643, 11239, 2511, 585, 946, 538, 4704, 8638, 269, 7442, 320, 2511, 30304, 1169, 4674, 1058, 581, 1500, 547, 13712, 1152, 2959, 602, 596, 723, 2965, 1224, 546, 1383, 540, 16643, 16654, 8100, 269, 6201, 2992, 519, 476, 277, 628, 7160, 267, 476, 273, 526, 8228, 630, 15100, 476, 1001, 271, 264, 540, 519, 8313, 8261, 16643, 2511, 3391, 547, 5907, 8100, 267, 476, 277, 628, 1196, 630, 15100, 476, 1001, 273, 264, 543, 16643, 2511, 5816, 563, 27066, 7819, 5626, 7681, 26159, 5907, 2959, 538, 16643, 3898, 3340, 2027, 2511, 596, 4704, 5907, 2959, 538, 16643, 269, 634, 6392, 593, 16643, 2511, 543, 519, 476, 277, 628, 7160, 540, 519, 16643, 8313, 8261, 1265, 18862, 267, 519, 16643, 2511, 5816, 267, 875, 547, 3898, 4574, 538, 16643, 2511, 267, 543, 824, 563, 23322, 2524, 540, 16643, 2511, 11239, 538, 17856, 543, 2707, 540, 519, 11855, 960, 538, 606, 9904, 673, 1592, 540, 8100, 952, 513, 4704, 568, 711, 11855, 538, 519, 1257, 269, 2334, 568, 1946, 621, 568, 5227, 547, 946, 1863, 2228, 16643, 2511, 11239, 11718, 585, 3102, 16643, 2356, 4408, 621, 4704, 2985, 610, 3274, 8100, 563, 288, 1592, 540, 11239, 2511, 10274, 1451, 875, 547, 4704, 707, 2959, 1210, 519, 16643, 6163, 269, 27375, 3684, 12814, 2337, 1053, 543, 4648, 5265, 5491, 519, 1344, 602, 789, 946, 13712, 2959, 538, 16643, 267, 15986, 267, 669, 8522, 267, 512, 12350, 1014, 267, 543, 3771, 10542, 585, 1863, 563, 288, 11985, 630, 26410, 5626, 7681, 264, 2511, 568, 1034, 4122, 1031, 547, 13712, 2959, 1369, 519, 1514, 9443, 713, 4199, 267, 15428, 2687, 547, 519, 476, 277, 628, 7160, 269, 8073, 707, 14327, 267, 4704, 8638, 543, 12190, 13132, 8850, 1210, 519, 16643, 267, 15986, 267, 669, 8522, 267, 610, 3771, 10542, 26159, 6163, 621, 781, 3728, 543, 1863, 269, 1215, 547, 13712, 707, 2200, 16643, 2511, 3406, 713, 3391, 3406, 713, 3391, 786, 948, 609, 19696, 707, 2959, 543, 2870, 513, 15853, 1753, 16643, 2511, 269, 0, 18439, 1286, 565, 3045, 18061, 1375, 328, 781, 4604, 476, 277, 7592, 540, 2500, 1603, 593, 533, 15517, 3670, 1603, 7592, 2093, 281, 4245, 267, 1379, 2798, 267, 4123, 2835, 269, 3367, 1433, 2228, 281, 476, 277, 16023, 1379, 2328, 4661, 1557, 4647, 610, 1224, 2228, 19545, 476, 277, 16023, 1379, 2328, 4661, 1557, 538, 1022, 3898, 585, 1022, 3457, 269, 14520, 1603, 7592, 2093, 281, 4245, 267, 1379, 2798, 267, 4123, 2835, 1265, 713, 8930, 543, 811, 593, 1603, 11049, 267, 610, 13629, 3942, 540, 1603, 476, 277, 13652, 1080, 1603, 4305, 6486, 269, 476, 277, 16023, 1379, 2328, 12814, 1131, 596, 899, 547, 1294, 811, 540, 476, 277, 16023, 1379, 2328, 12814, 1934, 596, 3513, 1265, 1896, 6119, 602, 1683, 606, 3330, 1413, 693, 713, 5499, 1259, 547, 563, 7072, 547, 1603, 7592, 543, 1603, 2994, 1603, 2994, 616, 5042, 543, 1558, 659, 4321, 476, 277, 7592, 543, 519, 1603, 1184, 4058, 269, 476, 277, 16023, 1379, 2328, 10378, 547, 2347, 519, 7005, 476, 1015, 536, 281, 1647, 7532, 543, 5045, 607, 807, 1775, 281, 10855, 17855, 1018, 338, 707, 2243, 1775, 6499, 721, 547, 1060, 269, 5295, 1448, 2594, 32538, 585, 21711, 519, 476, 277, 7592, 540, 1603, 910, 342, 4372, 3237, 543, 25330, 649, 616, 19914, 547, 1294, 596, 1934, 1018, 616, 519, 476, 277, 7592, 540, 563, 26422, 344, 2852, 693, 2156, 1188, 1636, 519, 1379, 540, 519, 476, 277, 1341, 476, 272, 7592, 540, 1603, 593, 2034, 17603, 262, 1603, 676, 737, 13873, 2881, 28325, 6308, 513, 5098, 11643, 547, 519, 8257, 540, 2069, 543, 269, 13658, 2280, 2488, 476, 277, 7592, 540, 1603, 2238, 267, 15460, 543, 3756, 1376, 1565, 2221, 585, 1863, 269, 476, 277, 1341, 476, 272, 7592, 540, 1603, 4843, 676, 281, 476, 277, 7132, 476, 272, 7592, 476, 272, 476, 277, 1341, 476, 272, 7592, 540, 1603, 4843, 676, 281, 789, 1810, 1406, 1294, 519, 1379, 540, 14908, 607, 513, 1259, 547, 1118, 269, 476, 277, 7592, 540, 1603, 1863, 3756, 1299, 2238, 585, 3214, 3670, 7592, 540, 2500, 1603, 7317, 476, 277, 2389, 11681, 1603, 4245, 1893, 6575, 8755, 3756, 585, 3214, 563, 19868, 538, 2433, 21189, 2012, 281, 10957, 281, 1775, 4312, 16618, 1250, 10957, 269, 14520, 7592, 540, 1603, 19297, 2093, 3919, 5639, 4845, 21711, 2262, 3903, 14908, 4367, 267, 1433, 29812, 1299, 2238, 2093, 3919, 5639, 269, 476, 277, 7592, 540, 1603, 6044, 11251, 585, 3102, 1489, 585, 2093, 267, 2262, 3903, 267, 543, 3919, 607, 9138, 538, 1533, 609, 476, 277, 16023, 1379, 2328, 269, 476, 277, 7592, 540, 1603, 1603, 4994, 1863, 7317, 2228, 1603, 3756, 1299, 2238, 585, 3214, 1863, 3312, 17157, 691, 269, 14502, 4170, 1100, 3301, 568, 2838, 1765, 21671, 606, 4950, 4276, 5672, 543, 26099, 15095, 476, 277, 16023, 1379, 2328, 4867, 7028, 519, 1739, 26292, 563, 22826, 1053, 547, 2328, 666, 6961, 547, 581, 513, 4161, 585, 930, 3610, 952, 596, 991, 948, 3450, 1603, 267, 2015, 519, 476, 277, 266, 272, 16023, 2203, 269, 476, 277, 266, 272, 16023, 10378, 1603, 2069, 22070, 2813, 519, 476, 277, 266, 272, 16023, 1603, 2203, 540, 6044, 1299, 4879, 547, 948, 7855, 1683, 2312, 267, 5812, 267, 543, 2963, 269, 14520, 7592, 1603, 2994, 795, 574, 2458, 1231, 476, 277, 7592, 543, 519, 1603, 1184, 4058, 5352, 543, 1020, 2093, 3919, 3483, 543, 5304, 26004, 269, 19664, 13906, 267, 1775, 4312, 1031, 1379, 1603, 585, 519, 2250, 476, 277, 1296, 267, 799, 267, 607, 708, 531, 603, 865, 4898, 2685, 4330, 267, 6212, 5631, 2390, 3919, 3919, 568, 606, 1271, 563, 2690, 3450, 519, 476, 277, 266, 272, 1603, 7592, 609, 2029, 476, 277, 1299, 476, 272, 1603, 16023, 1554, 3040, 1379, 1448, 585, 476, 277, 266, 272, 1603, 7592, 14908, 269, 634, 3670, 7592, 3318, 1646, 2203, 3040, 621, 779, 711, 513, 1982, 610, 6437, 519, 476, 277, 7592, 540, 1603, 676, 795, 3317, 11717, 646, 573, 331, 10275, 333, 984, 6674, 543, 795, 1328, 1951, 651, 269, 476, 277, 7592, 1603, 10624, 281, 16023, 519, 6402, 593, 519, 1318, 1683, 606, 7650, 540, 519, 2203, 2059, 609, 519, 18176, 6299, 7879, 585, 1142, 16023, 519, 1483, 1379, 540, 519, 3135, 269, 7170, 281, 3670, 7592, 10763, 1603, 19875, 2278, 281, 561, 544, 4610, 2063, 9168, 676, 281, 1286, 1961, 16013, 701, 344, 2813, 4266, 281, 476, 280, 270, 277, 270, 1220, 276, 476, 277, 281, 5655, 281, 876, 10681, 824, 10643, 281, 3670, 7592, 269, 0, 303, 19948, 593, 6249, 281, 834, 290, 10248, 9605, 634, 2034, 1433, 540, 634, 12017, 518, 10632, 10022, 1635, 281, 30554, 22828, 19811, 700, 269, 20098, 615, 2296, 11270, 476, 273, 4728, 476, 1240, 267, 476, 1001, 271, 1701, 1765, 19809, 13973, 912, 290, 10248, 9605, 634, 2034, 1433, 540, 634, 12017, 518, 10632, 10022, 1635, 281, 30554, 22828, 19811, 700, 269, 20098, 615, 2296, 11270, 476, 273, 4728, 476, 1240, 267, 476, 1001, 271, 454, 30787, 901, 568, 513, 13777, 22618, 3345, 3013, 1141, 519, 772, 2529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10222, 268, 13750, 3281, 15929, 14997, 2329, 2488, 547, 938, 12595, 5561, 269, 20497, 569, 2139, 2472, 616, 711, 2141, 513, 1434, 3514, 585, 782, 2550, 269, 2311, 938, 7463, 26849, 267, 649, 616, 4481, 13991, 547, 3246, 707, 6646, 538, 519, 1106, 602, 568, 1655, 14018, 585, 596, 676, 15388, 547, 2097, 909, 609, 2189, 2093, 547, 948, 938, 2550, 563, 2171, 5965, 1114, 9342, 540, 6527, 585, 1004, 945, 666, 711, 20496, 519, 20749, 2139, 2472, 563, 27609, 532, 6527, 538, 513, 5277, 1106, 2636, 519, 3461, 267, 1480, 610, 4620, 267, 945, 666, 1405, 15179, 21447, 267, 547, 1205, 519, 3617, 4915, 538, 513, 5318, 2039, 540, 10366, 563, 12749, 673, 21339, 666, 581, 1031, 585, 1312, 2199, 543, 11528, 2360, 269, 3690, 323, 1069, 531, 575, 1564, 1450, 2656, 21774, 547, 519, 1973, 6908, 563, 11045, 21627, 1559, 513, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 8824, 12619, 6925, 257, 607, 851, 540, 834, 25503, 1315, 12619, 6925, 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, 12559, 6324, 626, 16520, 29576, 543, 9966, 528, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 4241, 1158, 540, 21494, 626, 3332, 543, 9644, 269, 1284, 786, 2263, 875, 21494, 1143, 2591, 938, 6671, 24300, 540, 4641, 267, 2495, 267, 543, 6228, 998, 5339, 2553, 971, 607, 24337, 267, 20451, 267, 543, 1875, 3524, 527, 2720, 269, 1635, 6313, 1883, 5931, 267, 7811, 10850, 267, 543, 2686, 8658, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 2081, 538, 799, 21494, 1143, 1016, 591, 1206, 2757, 2239, 3029, 543, 22851, 3988, 538, 2565, 8086, 827, 519, 1480, 2783, 269, 3958, 267, 649, 786, 4983, 519, 1909, 540, 9644, 538, 21494, 1143, 267, 3695, 875, 17409, 666, 4196, 1312, 607, 513, 1106, 540, 4187, 543, 10343, 538, 519, 3068, 540, 1272, 779, 7915, 2495, 16531, 780, 4089, 476, 272, 281, 4197, 12559, 6324, 1143, 454, 29432, 4263, 922, 4295, 267, 21494, 626, 3332, 11394, 547, 16616, 519, 4909, 1651, 784, 745, 640, 1063, 8103, 781, 7287, 585, 1931, 543, 2495, 543, 519, 7805, 4351, 1145, 543, 14784, 540, 519, 7122, 269, 901, 10952, 19773, 814, 5072, 538, 16650, 626, 2219, 267, 3226, 519, 960, 540, 14639, 6261, 4954, 590, 691, 516, 543, 15751, 6682, 639, 267, 945, 11130, 602, 1272, 26218, 1022, 7915, 3483, 610, 6662, 1871, 269, 1306, 513, 1267, 267, 3425, 1590, 1711, 741, 1378, 10096, 543, 2418, 538, 606, 967, 27075, 1158, 780, 2690, 938, 5301, 267, 649, 5581, 21494, 1143, 607, 513, 9135, 6353, 676, 1614, 3119, 2934, 1384, 272, 269, 2878, 763, 12900, 540, 7787, 640, 5093, 769, 21494, 626, 1568, 267, 3197, 1419, 13720, 3871, 602, 1219, 344, 7954, 610, 2601, 267, 13031, 519, 7687, 540, 1480, 1702, 543, 1620, 269, 1452, 7653, 4161, 721, 547, 556, 29264, 1018, 649, 1491, 585, 11292, 827, 519, 2470, 540, 4641, 563, 273, 269, 2878, 2704, 1329, 566, 543, 10072, 5093, 16992, 1369, 21494, 626, 6386, 616, 4749, 30890, 689, 835, 1776, 267, 8572, 547, 5968, 3927, 610, 1106, 6209, 3347, 269, 901, 2631, 540, 10072, 9356, 519, 6626, 1480, 1995, 540, 2713, 538, 513, 9583, 967, 27075, 7122, 563, 274, 269, 2878, 25440, 6888, 543, 17634, 5093, 6736, 922, 6926, 752, 896, 2023, 525, 267, 21494, 626, 3332, 1419, 18271, 22488, 1893, 267, 6427, 633, 9423, 267, 543, 23349, 2239, 3889, 269, 3414, 891, 2553, 267, 4589, 16436, 3988, 547, 6443, 873, 538, 15819, 3964, 8155, 543, 14908, 780, 4089, 476, 273, 281, 6206, 31157, 543, 11933, 3749, 15753, 3311, 454, 14343, 15365, 2414, 1732, 9787, 519, 10848, 540, 21494, 626, 3332, 267, 621, 568, 1898, 547, 4497, 609, 13654, 5931, 543, 6436, 1369, 519, 2361, 269, 7324, 891, 616, 1384, 2162, 2608, 310, 320, 1746, 585, 2696, 582, 265, 676, 15656, 23894, 9116, 692, 310, 728, 569, 9833, 607, 835, 540, 519, 1034, 9565, 4249, 540, 519, 14206, 2540, 267, 2608, 310, 320, 1746, 585, 2696, 582, 265, 5205, 1079, 911, 332, 1186, 267, 32157, 543, 6480, 16400, 267, 607, 789, 7227, 1439, 8393, 585, 513, 12357, 4137, 3957, 2696, 582, 269, 10801, 519, 1404, 267, 519, 6292, 12066, 956, 609, 2055, 4478, 3961, 267, 3483, 267, 543, 4276, 1247, 2502, 538, 14973, 7333, 614, 602, 8711, 519, 21494, 640, 540, 741, 3510, 780, 2162, 2608, 305, 4923, 322, 7949, 345, 543, 2871, 843, 523, 560, 1716, 3657, 16458, 265, 676, 8751, 17547, 335, 731, 692, 288, 1427, 2454, 540, 9956, 781, 2608, 295, 600, 2280, 24682, 713, 1404, 6212, 593, 519, 5707, 983, 5918, 334, 1765, 325, 12188, 540, 17283, 945, 2743, 741, 2150, 830, 569, 7475, 1055, 560, 720, 538, 519, 3312, 960, 269, 1635, 1298, 1359, 519, 2239, 1472, 891, 5634, 3197, 267, 17547, 335, 731, 11363, 519, 17062, 2470, 540, 1272, 543, 27875, 519, 6526, 1006, 540, 1480, 8116, 269, 6145, 23894, 9116, 267, 646, 3096, 9644, 547, 20838, 519, 21494, 640, 540, 1010, 23233, 262, 6381, 780, 2162, 2608, 763, 19088, 540, 590, 19192, 874, 639, 265, 676, 15751, 6682, 639, 692, 23173, 639, 262, 25761, 1557, 7710, 519, 1523, 540, 519, 21494, 5869, 267, 30833, 676, 519, 5259, 29631, 4137, 590, 19192, 874, 639, 267, 945, 568, 28715, 547, 5066, 513, 536, 30629, 15081, 650, 585, 552, 1181, 640, 1152, 547, 723, 621, 5066, 1394, 1524, 1586, 2390, 8757, 519, 1283, 269, 1280, 6682, 639, 267, 590, 19192, 874, 639, 24151, 519, 6560, 1996, 519, 13777, 850, 2470, 540, 6228, 267, 6038, 4466, 2495, 538, 519, 1360, 957, 540, 18326, 3294, 780, 1012, 8791, 476, 274, 281, 12559, 6324, 1143, 543, 9966, 528, 692, 3080, 540, 519, 10747, 4162, 540, 21494, 626, 3332, 568, 922, 946, 540, 9644, 547, 22113, 519, 32475, 543, 19433, 525, 540, 1480, 1995, 269, 1635, 19310, 1746, 17409, 267, 21494, 1143, 7512, 3988, 547, 2243, 6848, 6788, 543, 10054, 827, 519, 1158, 269, 5565, 7986, 2010, 540, 9644, 6964, 538, 21494, 626, 1568, 616, 24337, 543, 20451, 1384, 2162, 9045, 790, 692, 25823, 790, 3252, 607, 513, 3532, 1907, 585, 1814, 1172, 532, 2486, 543, 922, 1585, 5238, 269, 898, 12346, 593, 608, 12000, 3130, 267, 7759, 545, 2544, 267, 543, 18854, 547, 5031, 20924, 543, 29927, 1369, 1949, 540, 1379, 269, 1280, 1383, 267, 9478, 670, 11839, 781, 3209, 2608, 290, 2255, 268, 2420, 265, 30237, 3278, 29904, 6483, 267, 13137, 267, 543, 519, 4108, 4853, 1950, 998, 922, 21494, 24575, 540, 1272, 593, 513, 2622, 2782, 4083, 17177, 828, 27805, 1258, 780, 2162, 11635, 344, 692, 27860, 344, 14340, 950, 972, 6818, 513, 15739, 32735, 1063, 20772, 543, 4641, 269, 769, 21494, 626, 3332, 267, 20451, 1419, 5713, 547, 20838, 519, 7934, 1063, 8103, 781, 1391, 585, 2495, 543, 519, 26093, 267, 19450, 2470, 540, 519, 7122, 269, 6333, 267, 585, 3236, 267, 519, 4583, 6679, 1899, 540, 918, 4669, 966, 517, 10864, 583, 781, 2608, 20228, 5922, 5264, 6363, 633, 15846, 834, 5472, 713, 5949, 267, 811, 610, 1447, 1701, 2060, 713, 3948, 267, 966, 517, 10864, 583, 20964, 519, 1433, 781, 3159, 267, 18136, 3988, 547, 9784, 10462, 543, 13509, 2429, 519, 2239, 780, 1012, 8791, 476, 275, 281, 7351, 12367, 543, 10241, 692, 9213, 267, 21494, 626, 3332, 3788, 4143, 607, 2479, 267, 26655, 4207, 11407, 593, 3584, 8151, 689, 6214, 547, 2790, 1072, 269, 10765, 9089, 899, 6723, 590, 16184, 619, 262, 2608, 31690, 11181, 538, 519, 645, 16037, 265, 543, 25844, 523, 12756, 7557, 5964, 781, 2608, 15463, 10610, 543, 4033, 3487, 625, 265, 6542, 519, 5571, 9029, 540, 21494, 626, 15312, 267, 5373, 4296, 1063, 2250, 543, 1459, 19183, 540, 519, 9135, 269, 5015, 267, 3059, 2923, 5867, 1683, 1007, 18817, 585, 21494, 1143, 547, 8853, 267, 10423, 538, 2442, 8613, 2982, 971, 607, 2608, 22517, 31568, 21696, 2006, 265, 543, 2608, 305, 1157, 543, 18200, 344, 265, 780, 2026, 6800, 540, 2528, 5051, 3343, 13857, 11269, 540, 1950, 2152, 267, 21494, 626, 3332, 3091, 3407, 4030, 883, 519, 1480, 4390, 585, 6043, 543, 13916, 538, 519, 3068, 540, 14488, 269, 5047, 267, 922, 8561, 593, 22488, 17634, 543, 10465, 1790, 5241, 5647, 5849, 602, 21494, 1143, 786, 3136, 547, 3337, 519, 5251, 540, 3860, 4082, 1134, 883, 519, 2104, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 1957, 729, 2854, 676, 4934, 1677, 700, 4875, 538, 2274, 2644, 538, 3735, 476, 2735, 273, 543, 2038, 476, 2735, 274, 267, 543, 3370, 538, 476, 2735, 278, 676, 8230, 29885, 693, 18712, 2289, 3930, 607, 834, 30999, 553, 1308, 7433, 3143, 476, 277, 2580, 9102, 676, 7585, 29154, 6883, 593, 519, 19536, 17072, 2584, 665, 641, 1512, 630, 25835, 476, 271, 476, 31405, 3583, 272, 279, 476, 275, 2473, 1040, 2368, 540, 922, 575, 2514, 5190, 1063, 5339, 9880, 543, 1514, 16472, 270, 6577, 10586, 1631, 2408, 547, 803, 795, 698, 3022, 543, 6909, 282, 713, 729, 1354, 2575, 19761, 6026, 803, 547, 1199, 5573, 811, 1178, 19290, 1063, 15131, 585, 2261, 343, 626, 543, 1954, 644, 1014, 28975, 543, 9880, 538, 519, 1934, 7146, 268, 852, 269, 634, 1257, 568, 20807, 539, 676, 1799, 1155, 3023, 16203, 267, 1098, 12723, 883, 513, 1131, 15515, 13172, 6509, 781, 4250, 540, 1799, 9394, 267, 1098, 7290, 5566, 3889, 269, 2494, 545, 1954, 644, 1014, 1143, 786, 711, 10205, 2596, 16740, 12413, 775, 267, 1256, 950, 519, 16740, 568, 3989, 538, 7242, 545, 2474, 269, 634, 2318, 10872, 568, 602, 24180, 267, 3140, 2173, 1468, 626, 8223, 786, 1028, 340, 720, 1169, 27313, 543, 3142, 1142, 11849, 3139, 605, 743, 2032, 883, 519, 14246, 543, 1769, 540, 7104, 31768, 543, 18656, 10885, 267, 513, 4126, 607, 2943, 5667, 1638, 1221, 676, 519, 22107, 3547, 540, 3023, 3766, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27028, 6324, 1143, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 9966, 528, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 6355, 1299, 13188, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 18087, 714, 523, 15638, 267, 513, 2027, 1826, 540, 5870, 1141, 1004, 960, 1927, 547, 2087, 741, 1870, 269, 18087, 714, 523, 568, 513, 5545, 2262, 2495, 834, 4219, 585, 1732, 2437, 543, 891, 2621, 616, 782, 827, 4466, 2081, 547, 798, 1919, 1732, 267, 5488, 267, 543, 14949, 269, 2913, 781, 2263, 875, 18087, 714, 523, 15638, 666, 948, 4213, 1332, 543, 8011, 2439, 5331, 596, 723, 513, 21097, 1796, 269, 1411, 1616, 547, 6133, 811, 21097, 267, 865, 596, 6430, 547, 3180, 513, 18087, 714, 523, 7926, 609, 707, 2828, 269, 4438, 519, 2680, 267, 596, 2911, 827, 1114, 2081, 547, 2333, 6455, 269, 2290, 1268, 5267, 1818, 519, 21097, 1129, 8273, 267, 1776, 14659, 9513, 12897, 2059, 609, 519, 21097, 1522, 3142, 538, 811, 5561, 267, 543, 2576, 3116, 23083, 16715, 519, 3902, 1175, 585, 2221, 547, 4482, 811, 18046, 269, 1635, 2324, 1927, 267, 596, 2097, 909, 609, 1390, 2093, 547, 1449, 856, 693, 707, 21097, 1796, 2439, 3086, 1577, 781, 1413, 693, 875, 513, 1483, 2754, 1031, 513, 18087, 714, 523, 7926, 547, 1831, 1256, 811, 3811, 269, 589, 1906, 1296, 3516, 267, 972, 729, 513, 1007, 23492, 1572, 3213, 710, 344, 538, 3567 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4309, 519, 4324, 540, 24484, 933, 2125, 694, 778, 2599, 17609, 543, 12773, 563, 2304, 5769, 3406, 1907, 269, 589, 3406, 2599, 814, 1614, 2694, 281, 476, 272, 264, 589, 17178, 630, 10193, 1572, 513, 1412, 322, 3863, 2401, 262, 610, 513, 1412, 15318, 10807, 602, 4422, 547, 1169, 2985, 610, 11347, 3817, 593, 1169, 5680, 3135, 602, 6499, 547, 581, 3406, 762, 543, 14509, 621, 267, 1210, 5409, 3667, 6402, 593, 1142, 2985, 547, 3605, 543, 1224, 513, 3135, 781, 824, 3817, 476, 273, 264, 589, 1982, 602, 5932, 513, 5458, 4994, 630, 27271, 1572, 513, 1412, 322, 7614, 4084, 10807, 689, 519, 3817, 602, 723, 1044, 1224, 476, 274, 264, 589, 1982, 602, 11392, 707, 3406, 7662, 267, 19776, 621, 547, 519, 13366, 538, 519, 4994, 267, 543, 7024, 2164, 547, 596, 630, 3698, 6873, 3144, 689, 519, 1018, 529, 2593, 5680, 3135, 994, 2304, 5769, 4199, 6602, 1907, 602, 13071, 1004, 1265, 1344, 676, 20438, 4433, 264, 19707, 563, 288, 3406, 2599, 568, 513, 7372, 5680, 6538, 971, 607, 8832, 8752, 267, 5616, 269, 15380, 267, 891, 12240, 610, 22331, 9233, 616, 3710, 676, 12747, 3157, 1572, 11608, 610, 20151, 602, 3406, 519, 5680, 267, 11018, 1344, 827, 5680, 3817, 269, 4595, 789, 616, 1628, 8850, 267, 3406, 9817, 1419, 723, 22331, 9233, 540, 9937, 540, 6634, 540, 5680, 3817, 267, 543, 616, 1360, 2347, 563, 25284, 585, 10478, 513, 5680, 3135, 610, 1896, 4609, 269, 29452, 547, 1265, 6054, 676, 3406, 7355, 563, 288, 3406, 2599, 1034, 4122, 4016, 547, 606, 3498, 2966, 547, 1265, 16761, 1344, 593, 519, 5769, 269, 9612, 9817, 666, 581, 1031, 547, 1265, 1175, 827, 4376, 4994, 539, 593, 519, 5769, 269, 9612, 9817, 666, 12398, 4408, 267, 2592, 267, 2575, 267, 6054, 267, 3377, 543, 1454, 811, 269, 9612, 9817, 616, 1898, 1382, 2645, 269, 6258, 875, 547, 946, 3406, 9817, 3927, 676, 9683, 634, 17943, 540, 5616, 9612, 563, 288, 834, 14142, 2599, 257, 568, 513, 5680, 3135, 602, 18271, 536, 1824, 547, 3406, 519, 5680, 269, 9612, 9817, 1491, 519, 1344, 10356, 676, 922, 536, 1824, 543, 946, 621, 547, 1711, 513, 3406, 762, 4994, 540, 519, 4880, 269, 634, 11683, 3406, 9817, 616, 5616, 267, 23968, 5622, 267, 9049, 301, 267, 9105, 297, 2465, 1407, 454, 288, 1982, 602, 2636, 3755, 547, 3406, 585, 6054, 593, 519, 2622, 22453, 5680, 676, 1210, 513, 1592, 540, 9138, 17161, 610, 811, 1950, 5528, 269, 589, 3406, 2599, 568, 2147, 538, 1599, 543, 538, 5920, 547, 606, 5907, 5399, 32562, 454, 14142, 2599, 568, 513, 1305, 540, 3292, 602, 17048, 1344, 543, 1450, 596, 547, 3406, 998, 602, 1344, 267, 899, 519, 4994, 538, 519, 1394, 540, 513, 1433, 269, 6423, 849, 4994, 532, 543, 838, 18790, 563, 15507, 5422, 910, 568, 513, 3406, 762, 6538, 540, 1357, 4609, 6394, 676, 513, 2780, 1982, 630, 21406, 513, 18389, 19907, 267, 17875, 2401, 267, 8773, 267, 21431, 610, 17178, 1040, 1879, 596, 4283, 513, 20438, 267, 519, 3406, 2599, 5654, 585, 17161, 538, 922, 6538, 267, 543, 1022, 4143, 5638, 616, 10268, 269, 5680, 4609, 616, 5697, 8850, 267, 543, 616, 711, 11117, 538, 1022, 1259, 1354, 789, 616, 9411, 883, 519, 6538, 269, 6201, 281, 5616, 267, 23968, 5622, 267, 9049, 301, 267, 589, 5357, 267, 19196, 924, 267, 10370, 6523, 3092, 563, 1492, 3301, 799, 2636, 3755, 547, 1265, 5680, 543, 717, 9372, 4609, 593, 519, 5769, 676, 17655, 513, 6538, 540, 741, 10643, 610, 1257, 563, 15507, 9817, 616, 3292, 1031, 547, 1413, 585, 1344, 593, 519, 5769, 269, 19361, 640, 609, 513, 1434, 3406, 2599, 568, 2629, 547, 707, 2702, 547, 946, 519, 5769, 282, 972, 568, 865, 1454, 856, 972, 602, 3406, 9817, 267, 538, 1804, 851, 267, 10891, 707, 1995, 593, 519, 1412, 6339, 543, 1450, 596, 547, 1294, 513, 4062, 540, 519, 2228, 7122, 1510, 1373, 1266, 5285, 539, 676, 621, 563, 320, 6538, 540, 13431, 310, 3817, 563, 320, 1982, 1031, 676, 606, 5769, 11422, 547, 1413, 585, 1808, 1913, 543, 4990, 873, 585, 1344, 563, 288, 5680, 3135, 602, 2636, 8436, 547, 3406, 585, 824, 4609, 1210, 17161, 269, 23968, 5622, 630, 8940, 269, 586, 1695, 5622, 2593, 264, 543, 10370, 6523, 630, 8940, 269, 569, 6523, 2593, 264, 616, 4122, 1031, 2489, 3406, 9817, 269, 2657, 325, 5407, 630, 8940, 269, 8234, 325, 5407, 10993, 264, 543, 32212, 299, 12114, 270, 23809, 630, 8940, 8542, 27476, 8542, 8811, 10993, 264, 616, 1806, 540, 1072, 14588, 6900, 3406, 9817, 563, 288, 2780, 1982, 602, 786, 12398, 5680, 4609, 610, 6119, 1759, 593, 9138, 7355, 563, 22492, 1242, 5904, 799, 2263, 267, 4994, 543, 7584, 3015, 1344, 593, 519, 5769, 269, 9612, 532, 568, 606, 1148, 256, 14568, 2164, 616, 5833, 676, 7446, 519, 3406, 2474, 5402, 267, 543, 676, 1210, 519, 2027, 16105, 3177, 676, 602, 3406, 2599, 269, 1703, 616, 1079, 2101, 2010, 281, 12039, 525, 543, 6034, 1559, 269, 2368, 2101, 3406, 9817, 1683, 1312, 2010, 540, 3406, 269, 12039, 19707, 1413, 585, 1880, 1913, 540, 2453, 269, 19838, 269, 834, 1335, 344, 1442, 14500, 2668, 30615, 19707, 1265, 1344, 676, 24482, 17975, 519, 7121, 1141, 519, 1344, 1058, 581, 6740, 267, 19838, 269, 2342, 907, 6628, 907, 8061, 517, 907, 670, 5519, 1442, 16836, 267, 610, 3778, 907, 19744, 907, 16836, 907, 670, 5519, 1442, 16836, 269, 8074, 281, 13518, 1344, 568, 6456, 689, 891, 3406, 9817, 269, 2368, 666, 581, 1336, 676, 27378, 1141, 621, 786, 581, 4371, 267, 19838, 269, 513, 2229, 610, 6280, 3135, 267, 543, 1287, 10478, 602, 1357, 3135, 2047, 563, 25413, 2264, 1982, 602, 2337, 596, 547, 1265, 5680, 3817, 5627, 1808, 3406, 2474, 269, 589, 1907, 585, 10188, 519, 2622, 22453, 5680, 454, 320, 1982, 602, 30455, 1344, 689, 5680, 3817, 267, 1287, 11394, 547, 6474, 4143, 5680, 3817, 547, 519, 3406, 7662, 540, 513, 3593, 454, 307, 944, 799, 2636, 10478, 676, 17161, 538, 4994, 539, 1357, 4609, 269, 3143, 3406, 2599, 30455, 782, 7270, 865, 596, 949, 723, 547, 2119, 1896, 563, 288, 3406, 2599, 568, 513, 1907, 602, 2636, 596, 547, 1265, 1344, 593, 519, 5769, 269, 15380, 267, 596, 1131, 1826, 538, 930, 17161, 543, 4945, 513, 3406, 7735, 547, 1413, 585, 1344, 269, 23968, 5622, 267, 1325, 3279, 309, 16695, 267, 543, 5616, 616, 1806, 540, 3406, 9817, 593, 519, 5769, 563, 9188, 11220, 547, 948, 513, 3593, 20586, 5551, 1344, 610, 2200, 676, 10478, 585, 17161, 269, 634, 23023, 1505, 1031, 568, 2356, 513, 9738, 4994, 540, 1357, 2200, 602, 666, 581, 3710, 689, 1808, 4199, 8638, 610, 2813, 676, 1357, 18389, 18996, 267, 11608, 267, 20151, 267, 17875, 6840, 543, 17494, 563, 2026, 1031, 538, 713, 2376, 267, 513, 9744, 602, 2636, 513, 3593, 547, 1265, 1344, 563, 288, 10626, 5827, 540, 13059, 8100, 547, 4143, 1344, 2200, 538, 3210, 547, 513, 13214, 563, 2304, 2228, 6538, 799, 30455, 1357, 3817, 865, 602, 3755, 666, 3406, 585, 782, 519, 1357, 3817, 799, 2270, 513, 2016, 2262, 610, 1895, 540, 1913, 563, 288, 1357, 3135, 799, 2636, 596, 547, 3406, 585, 1357, 3817, 593, 1880, 3584, 610, 2127, 540, 1719, 563, 763, 9612, 5422, 18169, 2636, 596, 547, 3888, 519, 5680, 294, 3916, 335, 572, 9612, 5422, 593, 707, 3135, 269, 901, 1907, 2636, 3755, 547, 1685, 19707, 585, 1543, 593, 707, 3135, 563, 288, 3926, 602, 19707, 6119, 585, 13292, 513, 3593, 13788, 538, 563, 2026, 519, 2012, 10522, 267, 621, 781, 606, 5907, 32562, 540, 8726, 568, 593, 519, 5769, 1862, 1134, 267, 8726, 568, 2965, 17048, 4240, 593, 602, 3406, 2599, 269, 17217, 2406, 4810, 3755, 1131, 1174, 602, 789, 2811, 782, 1114, 267, 543, 1100, 2582, 3406, 2599, 814, 782, 519, 4267, 269, 1280, 938, 834, 9008, 4557, 2580, 4945, 1934, 563, 288, 834, 13681, 582, 257, 610, 834, 322, 3863, 2401, 257, 602, 4422, 547, 1169, 2985, 610, 11347, 3817, 593, 513, 5680, 3135, 267, 610, 519, 2898, 5680, 267, 543, 5932, 606, 4994, 282, 610, 267, 513, 1982, 602, 11392, 707, 3406, 7662, 267, 19776, 621, 547, 519, 13366, 538, 519, 4994, 267, 543, 7024, 2164, 547, 596, 563, 288, 1982, 602, 2636, 3755, 547, 3406, 513, 6538, 269, 769, 519, 2796, 540, 519, 2622, 22453, 5680, 267, 519, 2165, 2356, 4016, 547, 513, 9744, 585, 10478, 513, 1804, 4994, 540, 5680, 9664, 6383, 676, 606, 12747, 5680, 17875, 2401, 269, 7831, 5623, 539, 281, 476, 1220, 274, 268, 6860, 268, 2420, 454, 8256, 1235, 540, 513, 17178, 267, 7762, 610, 17875, 2401, 267, 602, 9060, 15745, 781, 2901, 8850, 269, 634, 3406, 2599, 2306, 519, 8990, 607, 547, 1018, 1239, 7475, 909, 538, 519, 6538, 269, 769, 2110, 267, 2016, 513, 29250, 267, 606, 12747, 1184, 4386, 799, 2164, 538, 707, 3135, 1373, 3769, 883, 519, 2164, 269, 9612, 2599, 20151, 616, 3742, 476, 2190, 327, 2293, 513, 1554, 17875, 1782, 782, 519, 7270, 593, 519, 4950, 269, 4107, 3406, 9817, 798, 711, 5279, 585, 713, 3028, 563, 288, 1907, 585, 29466, 1344, 6740, 1369, 513, 1305, 1858, 552, 3052, 1421, 513, 2123, 2780, 610, 519, 4950, 563, 288, 3896, 630, 663, 519, 2029, 5885, 621, 264, 799, 2636, 2576, 547, 3755, 547, 3406, 585, 1808, 1344, 543, 7270, 689, 519, 2622, 22453, 5680, 269, 634, 3593, 3622, 2010, 513, 13214, 630, 18478, 909, 540, 513, 2262, 610, 513, 8360, 264, 883, 513, 3406, 4216, 543, 519, 519, 9612, 5422, 7472, 519, 1305, 540, 11778, 9664, 799, 7584, 519, 7270, 2687, 547, 519, 9228, 10083, 540, 741, 1543, 547, 519, 13214, 563, 288, 1982, 602, 2337, 3755, 1265, 1344, 538, 12240, 540, 5680, 3817, 610, 824, 1257, 6119, 563, 288, 3301, 1982, 602, 568, 1031, 547, 23074, 6054, 689, 519, 4950, 267, 1759, 593, 3561, 1543, 563, 288, 3406, 2599, 568, 513, 3406, 762, 6538, 540, 5769, 6119, 6394, 676, 513, 2780, 1982, 552, 3052, 269, 5616, 267, 9105, 610, 23968, 5622, 269, 1703, 568, 1100, 5542, 7355, 585, 519, 4015, 540, 6119, 269, 3962, 3406, 2599, 1152, 5654, 693, 851, 540, 519, 5769, 563, 288, 1982, 602, 19707, 6054, 585, 513, 1808, 2262, 630, 4486, 5320, 264, 543, 7024, 513, 1592, 540, 782, 6054, 5627, 602, 2262, 563, 763, 3926, 602, 13071, 596, 3406, 519, 2622, 22453, 5680, 585, 5396, 596, 1826, 538, 269, 1280, 1383, 23968, 5622, 29755, 19196, 924, 267, 1325, 3279, 966, 16695, 563, 25542, 2200, 1210, 20438, 543, 1630, 18978, 10478, 269, 29491, 14511, 2270, 519, 1913, 834, 663, 2437, 610, 267, 834, 663, 711, 257, 547, 948, 26343, 519, 3406, 563, 288, 1826, 540, 3301, 602, 18767, 519, 9115, 540, 1257, 6054, 610, 1062, 6119, 593, 513, 2780, 3168, 585, 1808, 1913, 610, 2453, 1572, 17161, 563, 288, 1907, 585, 4466, 1344, 610, 834, 335, 1137, 257, 593, 519, 2622, 22453, 5680, 269, 15394, 5161, 540, 606, 4994, 16432, 676, 513, 2780, 1982, 1572, 513, 8773, 610, 17178, 563, 15507, 1621, 1149, 616, 2780, 12240, 799, 3801, 547, 32562, 782, 519, 1344, 593, 519, 5769, 269, 26671, 666, 1287, 581, 27366, 676, 17511, 538, 1883, 1913, 543, 2453, 267, 610, 824, 3593, 6741, 322, 1881, 7355, 269, 589, 1906, 540, 519, 3406, 9817, 596, 666, 1265, 593, 519, 5680, 616, 23968, 5622, 267, 5680, 322, 3863, 2401, 267, 543, 27084, 5353, 2131, 563, 288, 10626, 602, 14998, 519, 3593, 547, 1265, 1022, 2262, 267, 1523, 267, 610, 3758, 593, 513, 3060, 1210, 513, 3099, 540, 7355, 267, 1519, 4266, 267, 2450, 267, 543, 2168, 4087, 563, 288, 9744, 593, 519, 13431, 310, 547, 1450, 4443, 1569, 547, 1808, 1344, 1369, 519, 12531, 2139, 593, 519, 5769, 269, 1703, 616, 10416, 1614, 8677, 540, 3406, 2599, 281, 1641, 1463, 1559, 630, 7945, 607, 23968, 5622, 1070, 20438, 4994, 13547, 1667, 630, 7945, 607, 10370, 6523, 1070, 543, 1346, 799, 1450, 10478, 540, 519, 2407, 1257, 540, 5680, 6054, 630, 7945, 607, 1325, 3279, 966, 16695, 1916, 12179, 540, 1585, 3292, 602, 960, 609, 707, 11422, 547, 1265, 1344, 593, 519, 5680, 269, 2991, 596, 1826, 513, 20438, 610, 17161, 883, 707, 11422, 781, 13972, 4216, 267, 513, 3406, 1907, 5654, 585, 5680, 3817, 5627, 707, 20438, 4433, 264, 543, 7472, 513, 10624, 540, 2139, 6054, 630, 327, 1080, 1040, 4746, 1572, 834, 14142, 1907, 4799, 320, 20716, 3015, 1982, 602, 13071, 596, 798, 1883, 2262, 19707, 585, 1344, 593, 519, 5769, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 2776, 20412, 639, 630, 277, 628, 9990, 2020, 27572, 1626, 332, 317, 277, 14204, 763, 4341, 281, 18159, 320, 18898, 8203, 332, 815, 513, 3867, 333, 24585, 544, 4151, 1269, 24179, 275, 332, 317, 274, 8203, 273, 815, 910, 263, 275, 317, 273, 332, 3867, 274, 24585, 273, 16585, 815, 910, 630, 1626, 332, 317, 277, 264, 815, 910, 1626, 332, 317, 277, 259, 0, 258, 772, 312, 272, 281, 11272, 12197, 2986, 589, 31538, 569, 932, 20149, 1975, 1877, 692, 31339, 3167, 5279, 1627, 568, 7856, 25144, 2429, 519, 4320, 540, 606, 32229, 12106, 609, 8953, 681, 269, 4855, 519, 9588, 540, 519, 3167, 2361, 693, 513, 1448, 623, 267, 513, 3845, 678, 689, 519, 4099, 540, 519, 12106, 780, 8794, 12821, 1380, 779, 4521, 585, 1269, 337, 1422, 28254, 681, 8961, 692, 17961, 25410, 348, 661, 288, 17851, 1422, 2765, 346, 304, 7346, 22668, 3709, 271, 3686, 8607, 661, 630, 275, 1422, 7032, 678, 3867, 273, 16585, 17851, 1422, 2765, 346, 304, 7346, 22668, 3709, 271, 3686, 8607, 661, 17851, 1422, 2765, 346, 272, 2410, 275, 1422, 7032, 1422, 22668, 3709, 271, 3686, 1422, 2765, 346, 304, 2410, 337, 3867, 273, 3686, 1422, 754, 25410, 10926, 2690, 1269, 337, 2999, 681, 8961, 692, 17961, 25410, 348, 661, 288, 17851, 1422, 2765, 346, 336, 7346, 22668, 3709, 271, 3686, 8607, 661, 1422, 9392, 476, 275, 1422, 7032, 678, 3867, 273, 348, 17851, 1422, 2765, 346, 336, 7346, 22668, 3709, 271, 3686, 1422, 754, 25410, 10926, 336, 568, 1175, 519, 2121, 5279, 20583, 676, 513, 20085, 21714, 2627, 693, 8953, 678, 269, 9747, 267, 649, 666, 1265, 856, 7117, 689, 4320, 5279, 5860, 267, 4399, 24838, 6911, 11377, 24838, 815, 1422, 2765, 346, 304, 7346, 2765, 346, 275, 2410, 274, 348, 1422, 7032, 681, 3867, 274, 3686, 9681, 17961, 25410, 348, 7117, 17851, 1422, 24838, 1422, 9392, 1422, 2765, 346, 275, 2410, 274, 348, 1422, 7032, 678, 3867, 274, 348, 8607, 17851, 1627, 1422, 2765, 3189, 2765, 346, 275, 2410, 274, 348, 1422, 7032, 678, 3867, 274, 24828, 2765, 346, 275, 2410, 274, 348, 1422, 7032, 681, 3867, 274, 3686, 8607, 17851, 1627, 1422, 2765, 346, 337, 3867, 274, 12453, 305, 3867, 274, 14990, 754, 25410, 10926, 17798, 267, 1016, 269, 7117, 883, 519, 4082, 585, 661, 547, 1205, 1384, 2330, 292, 815, 1422, 2765, 346, 304, 2410, 275, 1422, 7032, 1422, 22668, 3709, 271, 3686, 1422, 2765, 346, 337, 2410, 305, 3867, 274, 3686, 9681, 9202, 281, 1109, 8794, 12821, 1380, 779, 4521, 1280, 5871, 932, 1618, 20518, 1903, 692, 28095, 281, 1109, 25821, 12197, 1656, 15783, 2986, 932, 20149, 18430, 532, 1975, 1877, 692, 12988, 1677, 5082, 668, 24599, 1143, 630, 308, 312, 272, 2020, 7462, 22387, 8212, 692, 2026, 519, 8556, 15249, 540, 22387, 8212, 267, 594, 4865, 513, 645, 9928, 269, 630, 295, 976, 264, 538, 8212, 269, 594, 993, 8149, 547, 4180, 519, 6111, 543, 2298, 540, 519, 1543, 593, 713, 3135, 269, 1403, 596, 7237, 1022, 538, 3147, 340, 20874, 610, 723, 10372, 585, 3986, 906, 267, 594, 5000, 596, 547, 3346, 721, 269, 2659, 1489, 543, 5955, 616, 17170, 547, 721, 269, 1403, 596, 5660, 519, 2200, 2139, 593, 713, 3135, 267, 24963, 2015, 2857, 2056, 22387, 8212, 547, 707, 2828, 269, 8625, 267, 649, 666, 6536, 513, 2146, 13730, 827, 8212, 543, 6024, 1565, 780, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 271, 692, 258, 14572, 4834, 609, 13392, 4542, 286, 476, 279, 333, 317, 273, 1341, 476, 275, 333, 910, 476, 1626, 815, 910, 333, 317, 273, 692, 279, 333, 273, 1341, 476, 275, 333, 910, 476, 1626, 815, 910, 333, 273, 0, 258, 6103, 910, 1806, 910, 2985, 476, 13040, 692, 272, 269, 2558, 15635, 730, 13409, 454, 288, 959, 15635, 730, 13409, 814, 513, 13279, 8953, 525, 476, 2412, 4699, 543, 476, 1015, 4699, 543, 513, 4463, 540, 476, 1839, 4699, 269, 12433, 922, 2627, 1858, 543, 4320, 563, 273, 269, 12113, 5142, 8868, 454, 293, 518, 5142, 8868, 10301, 547, 476, 2420, 544, 7381, 543, 7575, 693, 519, 3432, 540, 476, 271, 269, 276, 332, 4882, 269, 4438, 835, 5397, 8868, 29226, 1614, 2053, 269, 1548, 568, 519, 2698, 5397, 942, 888, 274, 269, 21541, 454, 763, 5721, 10596, 851, 540, 519, 1899, 585, 476, 4817, 3764, 693, 3432, 476, 4037, 5998, 10774, 269, 1548, 3432, 1131, 723, 547, 979, 538, 1931, 547, 2110, 523, 519, 6117, 942, 540, 476, 736, 3764, 888, 275, 269, 20587, 1137, 454, 22091, 5962, 607, 513, 6871, 912, 276, 269, 22493, 3625, 454, 29991, 519, 4320, 540, 6405, 3625, 4171, 835, 6316, 540, 519, 3490, 814, 513, 3259, 476, 274, 7397, 267, 1560, 15497, 568, 476, 1724, 7397, 543, 922, 4463, 568, 476, 1321, 7397, 563, 277, 269, 32010, 1153, 454, 7804, 1516, 3803, 981, 5473, 476, 1015, 7390, 1218, 269, 634, 981, 5161, 540, 1614, 2694, 269, 476, 273, 14543, 693, 1449, 630, 638, 714, 264, 543, 476, 277, 1053, 14543, 593, 1286, 1983, 1449, 593, 19209, 630, 16435, 531, 558, 1063, 519, 13409, 1040, 634, 4052, 851, 540, 519, 1449, 910, 6117, 538, 4884, 538, 519, 1483, 6808, 910, 620, 454, 278, 269, 8490, 454, 299, 523, 6390, 814, 476, 2420, 18695, 585, 519, 4070, 540, 2679, 16030, 1614, 18695, 538, 4463, 267, 519, 8700, 540, 1079, 18695, 267, 543, 519, 3259, 540, 2185, 18695, 269, 1772, 1352, 2111, 547, 1628, 606, 2679, 609, 891, 18695, 888, 279, 269, 1715, 21067, 454, 6124, 21067, 23619, 585, 476, 9083, 275, 20430, 267, 11728, 786, 581, 476, 1839, 260, 10958, 269, 1215, 1454, 20430, 786, 4688, 267, 543, 1018, 786, 581, 519, 3902, 888, 280, 269, 570, 1090, 454, 1103, 519, 1614, 12268, 911, 332, 4682, 476, 18684, 15915, 538, 4395, 540, 1866, 267, 476, 26297, 1310, 1866, 543, 538, 519, 1647, 3368, 540, 782, 269, 1215, 1082, 15915, 4682, 538, 911, 332, 2698, 888, 1015, 269, 32167, 2812, 693, 21576, 454, 2704, 6511, 11751, 7260, 17914, 585, 1079, 2516, 540, 10453, 269, 634, 1101, 1895, 12349, 476, 278, 17914, 585, 476, 272, 560, 543, 476, 276, 17914, 585, 476, 273, 526, 1747, 543, 1352, 2628, 476, 7830, 298, 25155, 269, 1280, 519, 2034, 1895, 11751, 476, 1556, 17914, 585, 476, 272, 560, 543, 476, 275, 17914, 585, 476, 273, 526, 1747, 543, 2628, 476, 11025, 298, 25155, 269, 1215, 1454, 729, 519, 19044, 454, 1556, 269, 19577, 594, 454, 2691, 3773, 547, 519, 1587, 540, 1079, 15654, 9981, 3677, 835, 267, 649, 1205, 4009, 3677, 835, 269, 1772, 713, 3020, 610, 711, 888, 1321, 269, 17183, 1858, 476, 273, 454, 24280, 875, 1082, 4939, 2569, 519, 2627, 1858, 540, 519, 13306, 568, 649, 4389, 3259, 540, 1142, 6316, 676, 476, 1015, 18336, 1724, 269, 681, 4680, 454, 4002, 519, 1804, 887, 338, 776, 729, 513, 3791, 3043, 267, 3368, 2699, 267, 5835, 10116, 543, 3670, 11909, 269, 1215, 1082, 24712, 729, 538, 519, 887, 338, 776, 888, 1691, 269, 570, 550, 454, 13695, 1090, 573, 11057, 17895, 814, 513, 3490, 4009, 609, 513, 2427, 3259, 540, 476, 273, 544, 543, 513, 4463, 476, 272, 269, 278, 544, 269, 1215, 1082, 7397, 540, 17198, 568, 562, 2740, 539, 547, 1118, 621, 952, 585, 513, 3653, 1058, 581, 3773, 476, 1015, 260, 888, 1428, 269, 6153, 338, 454, 2414, 519, 2344, 568, 10962, 513, 1007, 1587, 267, 519, 1101, 3018, 568, 4421, 693, 513, 4389, 3902, 269, 476, 279, 2472, 568, 6133, 693, 606, 7127, 3902, 1482, 607, 476, 276, 2472, 693, 519, 3339, 3902, 269, 1215, 1454, 4939, 568, 4389, 3902, 1447, 982, 519, 1699, 3902, 585, 713, 1587, 888, 1626, 269, 667, 816, 20447, 454, 291, 816, 20447, 2451, 513, 4062, 540, 17198, 10156, 982, 476, 276, 7397, 269, 2701, 568, 14045, 2436, 621, 18055, 513, 1236, 7398, 610, 10571, 269, 634, 17198, 729, 4010, 607, 1454, 607, 789, 10057, 1185, 2759, 909, 1200, 1236, 7398, 547, 476, 6344, 4699, 267, 610, 476, 5197, 17744, 10571, 269, 1548, 513, 4062, 540, 17198, 2451, 1200, 888, 1704, 269, 10414, 11281, 454, 2171, 2322, 519, 2493, 340, 8291, 593, 519, 3196, 11281, 269, 634, 3196, 11281, 4951, 513, 1871, 476, 1839, 715, 269, 3973, 649, 5116, 519, 2493, 340, 8291, 593, 519, 3196, 11281, 4625, 27153, 538, 519, 1216, 269, 634, 3196, 11281, 4951, 513, 1871, 476, 1704, 715, 269, 1548, 568, 519, 4320, 540, 519, 2493, 340, 8291, 888, 1240, 269, 7305, 476, 274, 343, 274, 454, 8368, 609, 2338, 476, 274, 343, 274, 538, 519, 1101, 4737, 476, 5780, 267, 2190, 267, 3451, 538, 519, 2034, 4737, 476, 6872, 267, 286, 476, 866, 538, 519, 3791, 4737, 476, 1240, 267, 3393, 267, 2568, 1548, 1297, 2501, 818, 1665, 7790, 269, 9320, 519, 2338, 281, 476, 2420, 267, 5379, 267, 3393, 267, 5325, 454, 866, 269, 24665, 566, 476, 273, 454, 604, 513, 1286, 10707, 693, 513, 6991, 540, 476, 3199, 544, 4882, 4882, 1926, 18965, 547, 513, 6991, 540, 476, 1911, 544, 4882, 7532, 538, 476, 276, 7643, 267, 1018, 568, 519, 6517, 10231, 286, 1210, 25355, 11532, 454, 736, 269, 634, 4928, 454, 1103, 519, 18749, 1362, 519, 1297, 540, 8695, 543, 6690, 616, 693, 513, 5223, 540, 476, 275, 281, 276, 269, 27258, 616, 476, 1626, 269, 1215, 1082, 2698, 1053, 616, 538, 519, 4928, 2496, 2710, 596, 723, 606, 4277, 6310, 1383, 602, 596, 666, 1405, 4194, 621, 286, 9373, 621, 267, 543, 649, 666, 2119, 547, 4194, 621, 780, 2414, 713, 552, 17733, 2232, 267, 649, 786, 16253, 3070, 282, 12193, 1806, 616, 849, 3370, 1934, 269, 7490, 4283, 552, 17733, 7157, 543, 2638, 2436, 596, 1810, 1405, 723, 513, 2407, 13875, 7901, 269, 0, 9223, 476, 1240, 692, 258, 1488, 684, 543, 589, 2466, 666, 798, 513, 4062, 540, 960, 538, 476, 280, 2395, 543, 476, 1321, 2395, 6606, 269, 1403, 789, 960, 585, 14595, 2395, 543, 589, 2466, 6238, 519, 960, 1101, 267, 1287, 538, 875, 1082, 2395, 476, 3374, 270, 3607, 2694, 540, 2898, 960, 786, 581, 6192, 2496, 11405, 692, 2252, 589, 568, 2324, 4805, 666, 9096, 1010, 960, 538, 476, 280, 2395, 1287, 1010, 2324, 4398, 786, 581, 6695, 2765, 346, 272, 2410, 280, 15732, 20118, 960, 2944, 676, 645, 538, 476, 1321, 2395, 865, 1010, 4398, 786, 581, 13651, 1109, 6695, 2765, 346, 272, 2410, 1321, 15732, 17798, 267, 4518, 2944, 676, 589, 593, 1554, 476, 272, 568, 13651, 1109, 6695, 2765, 346, 272, 2410, 280, 15732, 663, 960, 2944, 676, 645, 593, 1554, 476, 273, 568, 6695, 2765, 346, 272, 2410, 1321, 6525, 269, 621, 1797, 960, 2944, 538, 1101, 476, 273, 2395, 786, 581, 692, 263, 6695, 2765, 346, 272, 2410, 280, 6525, 1341, 6695, 2765, 346, 272, 2410, 1321, 6525, 6661, 13651, 1109, 6695, 2765, 346, 278, 2410, 3607, 15732, 17798, 538, 476, 1015, 2395, 2698, 960, 2944, 786, 581, 6695, 2765, 346, 276, 24585, 476, 278, 2410, 3607, 6525, 815, 476, 3374, 270, 3607, 269, 0, 15542, 528, 519, 4082, 281, 1535, 317, 273, 268, 272, 692, 9223, 1384, 15542, 528, 519, 4082, 1384, 346, 18091, 26507, 317, 273, 268, 272, 2715, 270, 18091, 10926, 763, 26458, 540, 519, 13392, 3830, 568, 5340, 676, 1896, 2409, 267, 4470, 593, 519, 1808, 3830, 269, 634, 26458, 568, 2944, 676, 1210, 15821, 9163, 267, 24590, 1647, 2474, 267, 676, 1818, 519, 3501, 4009, 267, 3092, 780, 11693, 4578, 692, 1892, 634, 2016, 4082, 568, 281, 2715, 18091, 2410, 343, 317, 273, 348, 910, 476, 272, 2715, 270, 18091, 10926, 8196, 519, 15821, 3961, 2715, 18091, 2410, 320, 317, 273, 348, 910, 2715, 321, 317, 273, 348, 815, 1422, 3847, 263, 2715, 320, 910, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 320, 1341, 536, 348, 1422, 2431, 264, 2715, 270, 18091, 348, 547, 3815, 519, 2016, 4082, 780, 346, 18091, 4153, 8218, 9387, 15857, 2715, 343, 317, 273, 348, 910, 476, 272, 17851, 2715, 343, 317, 273, 348, 910, 2715, 272, 317, 273, 27874, 17851, 1422, 3847, 263, 2715, 343, 1341, 476, 272, 348, 1422, 2431, 9385, 3847, 263, 2715, 343, 910, 476, 272, 348, 1422, 2431, 264, 1422, 754, 9387, 15857, 2715, 270, 18091, 10926, 13295, 267, 519, 3815, 540, 519, 15821, 4082, 568, 2715, 18091, 4153, 3847, 263, 2715, 343, 1341, 476, 272, 348, 1422, 2431, 9385, 3847, 263, 2715, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1210, 519, 16452, 25260, 3126, 607, 513, 2013, 1353, 780, 2414, 2253, 267, 1577, 721, 5581, 5778, 323, 1751, 269, 898, 568, 513, 5133, 602, 14621, 1978, 14715, 7648, 267, 971, 607, 10295, 267, 27577, 267, 543, 11838, 267, 607, 2067, 1480, 3604, 2864, 982, 22907, 610, 4713, 269, 11330, 7859, 540, 5778, 323, 1751, 8044, 602, 891, 3604, 1058, 581, 6444, 267, 15197, 267, 543, 8383, 730, 1369, 2486, 267, 1454, 899, 7292, 267, 6803, 267, 543, 2686, 4763, 780, 293, 12188, 1222, 568, 513, 4909, 2460, 540, 1480, 1995, 267, 3246, 3929, 1489, 267, 1514, 4276, 267, 543, 2123, 2208, 269, 1280, 5778, 323, 1853, 7217, 2043, 267, 11505, 666, 1459, 2189, 2591, 1813, 547, 7965, 609, 2792, 267, 1514, 5872, 267, 543, 10444, 4393, 269, 1717, 267, 891, 2591, 849, 2709, 3255, 585, 3638, 267, 6209, 3347, 3710, 593, 8994, 2463, 267, 1620, 267, 543, 22098, 780, 763, 16452, 25260, 3126, 2488, 15792, 1806, 540, 5778, 323, 5744, 17052, 267, 1034, 16113, 1063, 519, 16502, 267, 16452, 25260, 267, 543, 1010, 1079, 14191, 2828, 267, 19555, 7748, 6182, 9734, 543, 27050, 1284, 553, 2917, 269, 19555, 7748, 15225, 4162, 2404, 609, 30442, 16327, 14601, 4524, 543, 1164, 8647, 10295, 267, 1247, 27050, 10525, 7592, 5812, 609, 11838, 269, 6736, 741, 3604, 267, 519, 2468, 334, 3029, 513, 2178, 6125, 1759, 593, 3838, 2833, 267, 14017, 267, 543, 10343, 780, 295, 1069, 7748, 781, 5778, 323, 1853, 10885, 568, 10423, 538, 1200, 7920, 1445, 593, 3652, 267, 1931, 267, 543, 4081, 9740, 269, 2701, 1419, 3587, 21616, 950, 1866, 3111, 547, 2743, 1200, 6788, 610, 23304, 731, 1153, 6042, 269, 2311, 2053, 267, 1352, 9620, 547, 4612, 1514, 10291, 543, 4431, 14013, 547, 14156, 9901, 3871, 269, 11048, 267, 1200, 4987, 267, 4199, 6888, 267, 543, 8990, 6961, 17170, 547, 16452, 543, 27050, 2429, 741, 9035, 693, 670, 690, 342, 11301, 3427, 540, 654, 3558, 8154, 543, 654, 19123, 787, 780, 305, 517, 781, 5778, 323, 1853, 10885, 28107, 538, 1010, 791, 6160, 2032, 267, 16297, 2225, 267, 543, 17573, 7411, 1739, 1950, 5528, 269, 1261, 11148, 547, 2746, 15859, 1947, 267, 3006, 3056, 547, 554, 7360, 3664, 543, 26516, 4539, 269, 8616, 267, 1010, 10100, 267, 9644, 267, 543, 5876, 3565, 3648, 547, 519, 1895, 6422, 267, 13326, 19555, 7748, 781, 6551, 7190, 543, 27733, 16452, 781, 4998, 2065, 21274, 780, 29310, 267, 19555, 7748, 267, 27050, 267, 543, 16452, 6542, 519, 1379, 540, 5778, 323, 5744, 17052, 269, 1358, 1451, 689, 835, 1776, 267, 9104, 908, 585, 1367, 12755, 543, 7393, 9342, 998, 5698, 269, 4256, 7554, 16637, 21603, 3604, 267, 13031, 519, 5898, 543, 6988, 540, 9758, 4296, 4646, 538, 519, 27241, 540, 14488, 543, 4161, 780, 13146, 1382, 7028, 519, 10206, 602, 5778, 323, 5744, 17052, 666, 723, 2318, 5222, 593, 2790, 1072, 267, 1582, 12635, 267, 543, 2949, 8171, 269, 589, 1353, 5342, 676, 519, 2160, 540, 16855, 1336, 602, 1453, 609, 10295, 4080, 2362, 2157, 540, 8788, 543, 1272, 9547, 950, 789, 1185, 693, 2547, 835, 2673, 3659, 269, 6684, 267, 513, 1867, 676, 519, 2817, 4201, 2065, 5980, 7000, 602, 1762, 1004, 609, 10295, 12595, 17052, 3810, 267, 5103, 6849, 7496, 547, 8108, 543, 4509, 873, 780, 4322, 4681, 20838, 519, 2956, 540, 5009, 5778, 323, 5744, 6041, 538, 11174, 5708, 269, 1635, 3339, 1944, 14715, 3604, 543, 15386, 3811, 5778, 323, 5744, 17052, 267, 4589, 666, 948, 6536, 6568, 267, 1620, 267, 543, 10014, 1851, 1762, 3988, 269, 5047, 267, 789, 666, 8300, 5778, 20200, 673, 6107, 547, 3343, 856, 543, 11349, 17052, 609, 5778, 323, 1853, 7217, 9905, 267, 23429, 1312, 6105, 262, 2729, 543, 7700, 547, 811, 8537, 2950, 780, 2026, 7855, 267, 3237, 267, 543, 15156, 267, 649, 1590, 5000, 1930, 19929, 1472, 5778, 323, 1751, 543, 922, 6286, 585, 14375, 3347, 269, 9181, 687, 10704, 593, 5778, 323, 5744, 17052, 538, 3332, 267, 971, 607, 1346, 13269, 538, 519, 16452, 25260, 3126, 267, 1683, 3407, 3255, 547, 2263, 4798, 540, 3017, 267, 10343, 267, 543, 6043, 269, 1452, 7391, 666, 7668, 1762, 3988, 547, 5431, 543, 8661, 741, 1378, 22464, 1247, 5807, 7071, 585, 519, 3309, 5380, 543, 7418, 540, 1866, 780, 1103, 3932, 267, 3695, 5778, 323, 5744, 17052, 1369, 11174, 5708, 3091, 7096, 4030, 883, 519, 2470, 540, 1480, 4276, 543, 519, 1761, 2640, 540, 8508, 14715, 4763, 269, 3414, 2502, 6386, 602, 4183, 11541, 267, 17326, 7645, 3197, 267, 4589, 666, 3895, 3152, 4656, 267, 1620, 267, 543, 11812, 540, 5778, 323, 1853, 7217, 2043, 269, 1306, 23576, 676, 519, 11972, 8560, 540, 519, 16452, 25260, 3126, 267, 2984, 602, 22299, 13784, 267, 8296, 267, 543, 6043, 13469, 7184, 609, 9458, 267, 6028, 9434, 24221, 602, 3337, 2418, 267, 4978, 267, 543, 5615, 1279, 1310, 519, 3803, 2985, 814, 1044, 5828, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 476, 1960, 278, 267, 1759, 593, 513, 3406, 538, 32726, 9448, 2622, 29272, 267, 972, 941, 476, 10695, 2296, 1893, 2835, 2854, 827, 9059, 602, 1131, 581, 2808, 19565, 5708, 630, 14142, 2165, 910, 2672, 281, 18903, 19565, 11470, 1916, 3080, 540, 1346, 2835, 729, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 267, 3370, 538, 519, 5177, 269, 634, 2475, 2344, 1131, 1205, 519, 1433, 538, 476, 1960, 279, 630, 4958, 12822, 609, 590, 13396, 17243, 781, 12942, 1070, 3370, 1851, 476, 3445, 971, 14070, 1568, 563, 1607, 1433, 1131, 979, 593, 547, 6133, 476, 4968, 267, 1822, 12215, 676, 476, 1960, 280, 538, 519, 5177, 543, 10199, 476, 1556, 2929, 630, 14551, 3724, 6730, 1957, 3724, 264, 538, 519, 2475, 282, 1283, 1655, 8688, 619, 8638, 282, 838, 11921, 513, 3126, 540, 8449, 2527, 5498, 29818, 2835, 910, 562, 599, 838, 11921, 606, 3003, 2872, 540, 9162, 267, 3536, 267, 543, 824, 2835, 282, 1205, 1500, 883, 3625, 321, 13831, 9413, 282, 543, 10416, 2490, 1126, 27231, 262, 5339, 13629, 883, 513, 2883, 581, 1335, 1054, 607, 7366, 540, 824, 1131, 15515, 18007, 13530, 31163, 16940, 856, 12779, 708, 14591, 547, 6666, 538, 630, 5976, 1152, 513, 19625, 910, 19748, 3415, 10965, 1157, 564, 2501, 547, 2247, 910, 6029, 1022, 5169, 1275, 964, 6326, 938, 2648, 1916, 763, 4308, 568, 267, 1946, 286, 4208, 713, 1433, 286, 1548, 729, 621, 827, 519, 1101, 16452, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32507, 323, 5744, 14886, 4721, 257, 607, 851, 540, 834, 16300, 16337, 1315, 11671, 323, 1751, 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, 7689, 476, 277, 281, 3397, 333, 565, 2714, 328, 674, 3739, 14313, 454, 29432, 20756, 972, 267, 2104, 22730, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 989, 333, 565, 2714, 328, 11423, 2093, 607, 851, 540, 938, 5986, 3460, 998, 18437, 5820, 269, 1809, 1101, 267, 1577, 781, 1376, 609, 930, 9238, 780, 2162, 1548, 616, 3397, 333, 565, 2714, 328, 2496, 5331, 8949, 986, 24825, 328, 855, 4130, 543, 2759, 518, 910, 1346, 616, 989, 333, 565, 2714, 328, 630, 29455, 513, 327, 268, 5500, 7795, 6441, 15121, 268, 6590, 25631, 1452, 7969, 28077, 18437, 22836, 12090, 689, 519, 623, 1221, 23992, 3148, 538, 7187, 7977, 269, 1358, 2356, 2270, 5779, 267, 10381, 267, 610, 10448, 30836, 267, 20177, 609, 513, 8258, 11057, 6309, 335, 2059, 741, 8728, 269, 595, 10541, 620, 7202, 324, 267, 789, 616, 6039, 609, 3638, 27156, 602, 9148, 519, 10366, 3330, 269, 3767, 602, 649, 917, 1018, 989, 333, 565, 2714, 328, 616, 267, 1577, 781, 1205, 3860, 609, 938, 30836, 2439, 2162, 17553, 7464, 2065, 21673, 725, 692, 6524, 17259, 883, 1585, 11423, 10346, 267, 3314, 602, 1373, 513, 3811, 27697, 1797, 1620, 707, 7687, 1932, 269, 1411, 1522, 711, 2141, 723, 2614, 942, 610, 2200, 547, 1711, 16681, 6980, 269, 2334, 781, 9985, 5386, 256, 11822, 2943, 26345, 10659, 666, 849, 1291, 547, 9735, 8286, 269, 5901, 2542, 585, 6667, 2439, 2162, 14168, 3212, 6470, 4258, 3150, 20167, 6471, 692, 28808, 19263, 1384, 265, 26548, 27198, 10381, 454, 265, 717, 3603, 623, 1301, 525, 534, 10381, 454, 265, 17865, 1299, 14723, 454, 265, 18610, 16163, 2917, 610, 24958, 630, 28436, 2020, 9743, 15297, 912, 300, 1460, 3160, 2694, 13284, 27198, 543, 1989, 730, 623, 1301, 525, 534, 10381, 1927, 269, 5410, 6070, 543, 14723, 547, 6492, 269, 1280, 3063, 8137, 267, 14299, 930, 4195, 11922, 899, 16163, 2917, 610, 24958, 543, 13489, 873, 883, 519, 3575, 269, 19130, 707, 989, 333, 565, 2714, 328, 609, 713, 7848, 267, 13021, 1412, 655, 909, 267, 543, 4196, 609, 2261, 514, 4673, 14036, 610, 3274, 14462, 3282, 267, 13342, 267, 543, 811, 623, 1301, 525, 534, 10381, 269, 5548, 880, 2439, 2162, 12098, 27932, 4934, 2439, 28808, 19263, 1384, 265, 1975, 514, 778, 610, 25989, 454, 265, 595, 2714, 720, 10381, 454, 265, 25326, 332, 1122, 630, 28436, 994, 265, 12275, 997, 8869, 630, 28436, 2020, 9743, 15297, 912, 290, 809, 1524, 22156, 610, 25989, 2394, 27315, 1540, 269, 667, 1778, 4430, 5277, 543, 29656, 14299, 269, 17186, 11273, 16719, 609, 32119, 10381, 543, 4005, 609, 2428, 332, 1122, 543, 13342, 8869, 952, 5551, 269, 901, 4999, 2488, 513, 2635, 4244, 585, 707, 17724, 773, 2000, 8221, 2828, 2439, 2162, 2142, 1030, 5455, 2659, 10341, 692, 28808, 19263, 1384, 265, 16140, 14132, 454, 265, 2201, 542, 454, 265, 12275, 997, 454, 265, 8751, 6737, 13594, 454, 265, 20957, 1146, 334, 630, 28436, 994, 265, 17865, 1299, 14723, 692, 9743, 15297, 912, 306, 2246, 2946, 22872, 19637, 543, 1295, 1027, 13342, 2394, 21352, 539, 269, 5410, 2666, 14132, 543, 3434, 8499, 269, 17897, 609, 7626, 1146, 334, 267, 6070, 267, 543, 14723, 269, 853, 597, 538, 16603, 13594, 543, 3136, 5986, 585, 513, 1906, 3764, 269, 2913, 621, 3579, 1354, 1210, 607, 11423, 269, 31160, 891, 29902, 17486, 609, 6960, 7423, 27041, 14036, 610, 5929, 16603, 14036, 269, 962, 636, 2439, 3086, 602, 596, 723, 1614, 1114, 3681, 896, 707, 12966, 267, 1810, 1405, 19292, 547, 4603, 2417, 269, 8347, 11544, 543, 12805, 5946, 267, 5388, 267, 14546, 267, 543, 29380, 525, 1759, 593, 1018, 596, 2648, 1034, 269, 5457, 267, 1256, 3318, 22730, 3323, 12341, 267, 865, 1832, 8026, 543, 2972, 519, 11477, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 16226, 782, 11112, 31908, 856, 972, 256, 1403, 596, 1265, 3054, 7683, 678, 5241, 998, 17365, 4558, 513, 529, 956, 1510, 513, 23319, 540, 1018, 547, 3434, 585, 12129, 267, 1287, 713, 2376, 568, 1500, 1175, 585, 596, 269, 2725, 531, 4058, 3085, 1406, 723, 547, 581, 513, 18447, 4305, 602, 27499, 782, 707, 1863, 942, 1107, 621, 666, 2965, 581, 2656, 543, 3608, 563, 4415, 891, 6836, 7146, 2389, 4902, 2994, 602, 723, 10710, 9118, 11112, 31908, 689, 12129, 21140, 267, 596, 3580, 581, 2111, 547, 20928, 707, 7594, 13807, 8911, 1184, 1247, 1869, 7674, 909, 17705, 8286, 602, 786, 4734, 707, 1920, 6998, 585, 7643, 269, 1924, 1577, 779, 4685, 538, 543, 3605, 875, 2653, 621, 666, 581, 547, 20630, 519, 14784, 540, 3018, 9519, 7188, 2996, 563, 13729, 7464, 2065, 17644, 454, 13729, 10853, 3853, 676, 26724, 707, 2115, 543, 6236, 707, 942, 10148, 269, 1879, 621, 2501, 547, 7594, 4058, 267, 2348, 10853, 6788, 568, 1883, 547, 4259, 3054, 909, 585, 1967, 269, 898, 779, 1271, 547, 1174, 602, 596, 949, 711, 581, 2111, 547, 5965, 575, 712, 5471, 6980, 1169, 3781, 267, 2523, 609, 513, 11112, 8430, 269, 5502, 267, 1445, 593, 1818, 1138, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 3913, 565, 2714, 328, 674, 3739, 14313, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 12815, 320, 2668, 634, 1543, 1058, 581, 3358, 585, 1647 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12326, 17709, 540, 1373, 1224, 543, 19644, 780, 21953, 267, 9624, 3875, 5079, 267, 23243, 1063, 9758, 4891, 543, 1761, 1085, 4461, 9863, 4101, 269, 3509, 3549, 19101, 547, 948, 1582, 1790, 889, 14215, 5828, 856, 547, 17908, 17608, 5830, 267, 1454, 899, 796, 2675, 14442, 592, 748, 21527, 12394, 547, 2220, 26295, 30226, 619, 899, 7705, 2390, 21945, 693, 513, 14297, 536, 18054, 541, 269, 1677, 2057, 9991, 10352, 547, 971, 20637, 267, 7705, 4956, 547, 3314, 1614, 1883, 4773, 540, 5796, 1384, 272, 269, 11408, 2638, 952, 519, 2754, 13000, 4589, 9425, 543, 3085, 1405, 5279, 608, 528, 4226, 656, 12375, 909, 12506, 563, 273, 269, 7638, 1518, 2436, 519, 1870, 2488, 11413, 3823, 2924, 12802, 267, 4180, 602, 15888, 2226, 1852, 936, 741, 7214, 3601, 563, 274, 269, 6733, 585, 2318, 8039, 543, 16499, 517, 10118, 689, 824, 13854, 5561, 945, 6707, 3370, 741, 1568, 609, 6351, 689, 891, 10909, 780, 3528, 1739, 891, 4808, 267, 7705, 5156, 4896, 5461, 538, 1582, 1790, 889, 7667, 1223, 1265, 11967, 15274, 547, 1118, 741, 5339, 9909, 2097, 3020, 269, 1656, 5310, 14693, 267, 7705, 1522, 1256, 2015, 4687, 1200, 9058, 3460, 2066, 15270, 538, 519, 1106, 540, 513, 11617, 10875, 13371, 610, 606, 24084, 2287, 17728, 267, 7064, 547, 519, 7326, 29742, 539, 689, 3695, 3047, 781, 13300, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6930, 492, 487, 3776, 1985, 3209, 1603, 4487, 1362, 6238, 538, 1107, 8206, 28787, 707, 5544, 9890, 454, 19185, 547, 15476, 286, 20821, 707, 5326, 9375, 593, 32149, 1910, 563, 8340, 519, 3501, 9375, 585, 707, 1985, 1433, 454, 272, 2929, 4589, 3972, 519, 4648, 593, 32149, 1910, 267, 2097, 2743, 873, 563, 8310, 8242, 593, 4924, 476, 5881, 267, 476, 1708, 274, 454, 763, 476, 1704, 645, 12239, 8682, 6261, 889, 7667, 14992, 540, 476, 1708, 274, 454, 13356, 4575, 547, 1582, 1790, 889, 1501, 707, 1433, 568, 1312, 3078, 543, 8229, 2914, 571, 9535, 269, 4495, 707, 1433, 814, 1044, 12995, 2073, 2966, 2073, 543, 596, 723, 513, 6725, 1544, 538, 1747, 267, 596, 1869, 723, 547, 4137, 856, 875, 596, 3513, 15476, 543, 15814, 707, 960, 2443, 519, 1297, 540, 3681, 2139, 568, 865, 1804, 602, 621, 666, 581, 513, 3787, 11566, 563, 2467, 616, 513, 2603, 540, 3549, 856, 972, 10229, 741, 2533, 547, 1582, 1790, 889, 7667, 4589, 269, 2368, 540, 873, 616, 18019, 855, 1082, 540, 873, 616, 8709, 640, 2046, 525, 3168, 547, 1491, 5413, 540, 14971, 4589, 4586, 1103, 713, 2376, 267, 649, 3580, 3391, 596, 998, 519, 476, 1704, 1655, 1582, 1790, 889, 7667, 3549, 538, 519, 2872, 547, 1294, 799, 3283, 596, 1522, 1616, 547, 960, 609, 2443, 4470, 593, 519, 1433, 596, 4076, 21389, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 22383, 1299, 18753, 26358, 1315, 22335, 1315, 6490, 7546, 338, 676, 6282, 832, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 17610, 256, 3371, 568, 513, 3732, 1016, 15492, 593, 834, 18131, 781, 267, 631, 11189, 267, 543, 5753, 781, 2657, 543, 8693, 7827, 257, 1384, 14945, 8138, 268, 16215, 476, 277, 269, 273, 281, 6468, 781, 267, 631, 11189, 267, 543, 5753, 781, 2657, 543, 8693, 7827, 692, 5970, 596, 2479, 4862, 540, 2916, 1689, 286, 898, 781, 950, 938, 4541, 4991, 15911, 1317, 649, 6633, 8093, 10173, 899, 5755, 543, 3282, 267, 799, 5305, 8511, 9362, 883, 519, 2011, 269, 901, 3123, 519, 3047, 781, 2837, 547, 4473, 267, 3056, 547, 782, 12204, 540, 2042, 899, 811, 7928, 543, 4049, 15420, 267, 26221, 267, 543, 3002, 30335, 269, 1809, 1705, 596, 917, 602, 2916, 1689, 666, 849, 1860, 2021, 781, 267, 14774, 267, 543, 1453, 781, 1072, 286, 2913, 781, 1265, 856, 875, 2439, 5575, 267, 1577, 781, 2911, 827, 1426, 269, 9894, 596, 917, 602, 1082, 1004, 1472, 519, 1158, 7048, 593, 8105, 547, 3049, 741, 3885, 286, 1809, 607, 519, 2916, 2242, 267, 621, 3587, 9875, 547, 1332, 7031, 269, 26478, 949, 711, 1205, 2614, 4764, 267, 610, 789, 1522, 1205, 1932, 1454, 4764, 693, 519, 4636, 942, 269, 901, 666, 1291, 547, 7693, 14286, 543, 1426, 22520, 269, 1879, 972, 3884, 1405, 2614, 1426, 267, 621, 666, 1118, 1004, 7210, 267, 2523, 9176, 2021, 543, 1762, 1453, 945, 991, 14312, 1426, 547, 3251, 2635, 780, 9202, 267, 1577, 781, 1589, 827, 1216, 269, 4826, 568, 1898, 585, 1272, 267, 855, 621, 666, 849, 3262, 3676, 899, 26601, 5028, 543, 13663, 269, 769, 930, 2694, 540, 519, 1158, 267, 2916, 1689, 568, 4929, 811, 14700, 267, 799, 666, 8764, 622, 6704, 1216, 609, 5739, 4551, 543, 8290, 269, 2201, 519, 824, 1688, 267, 538, 824, 4025, 267, 2916, 1689, 568, 3056, 547, 3476, 5712, 540, 10980, 267, 1818, 621, 2182, 585, 2950, 547, 1569, 2973, 1216, 269, 11088, 267, 891, 2591, 666, 25409, 1764, 2021, 543, 1453, 267, 945, 1419, 7703, 519, 11411, 540, 10655, 1216, 585, 741, 10820, 780, 3086, 267, 1577, 781, 2015, 2067, 12469, 269, 1284, 5018, 4505, 602, 2916, 1689, 666, 2014, 811, 7928, 543, 4049, 15420, 267, 17160, 267, 543, 3002, 30335, 269, 1452, 12469, 666, 6861, 5321, 267, 3506, 267, 10506, 267, 543, 5989, 267, 6028, 3003, 2950, 1510, 2596, 29476, 269, 4495, 1586, 267, 2021, 543, 1453, 616, 3226, 7925, 1282, 971, 16839, 269, 1358, 949, 3068, 2799, 4220, 540, 5208, 267, 14226, 267, 543, 6057, 538, 27549, 7740, 610, 13016, 17260, 269, 5047, 267, 9176, 2021, 543, 20169, 9002, 616, 693, 2362, 1981, 540, 8374, 1813, 547, 3668, 540, 2564, 1416, 543, 2200, 780, 3719, 1810, 1405, 5855, 1107, 972, 616, 1919, 649, 666, 798, 547, 2232, 891, 2591, 256, 1635, 2921, 2962, 1996, 2916, 1689, 267, 649, 666, 948, 2149, 2021, 781, 267, 14774, 267, 543, 1453, 781, 1072, 269, 2368, 2081, 547, 8396, 2916, 1689, 1331, 1210, 7791, 1648, 2959, 630, 3697, 3859, 543, 2842, 1379, 1070, 4227, 3653, 267, 25137, 1216, 267, 9544, 4054, 267, 543, 14957, 585, 4507, 602, 4225, 6940, 543, 9698, 780, 4131, 781, 960, 1927, 547, 1628, 513, 1732, 2104, 1141, 3025, 814, 1569, 547, 2973, 2011, 267, 1216, 267, 1426, 267, 543, 3782, 267, 7488, 540, 741, 4008, 610, 2085, 256, 5457, 267, 1256, 1507, 3527, 666, 1118, 513, 2462, 3017, 269, 1924, 1946, 711, 1376, 2221, 676, 7432, 1055, 8279, 950, 596, 4734, 513, 4055, 267, 31610, 3079, 540, 6117, 267, 610, 6158, 547, 707, 2828, 543, 1920, 827, 1946, 2916, 1689, 6927, 585, 2021, 781, 267, 14774, 267, 543, 1453, 781, 1072, 286, 8625, 267, 649, 666, 1711, 2318, 1689, 2439, 14945, 296, 4126, 713, 1016, 15492, 10742, 707, 6788, 3823, 22759, 267, 6278, 267, 543, 31675, 269, 594, 6836, 1250, 1655, 547, 14458, 1950, 2093, 543, 1683, 11541, 1806, 5078, 585, 1762, 3988, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 18131, 781, 267, 631, 11189, 267, 543, 5753, 781, 2657, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 6468, 781, 1072, 2580, 834, 274, 269, 631, 11189, 1072, 2580, 834, 275, 269, 5753, 781, 1072, 2580, 834, 276, 269, 6820, 5380, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 277, 269, 24021, 2152, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 277, 269, 272, 269, 6468, 781, 267, 14774, 267, 543, 1453, 781, 1072, 538, 519, 2796, 540, 5046, 268, 866, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 277, 269, 273, 269, 6468, 781, 267, 14774, 267, 543, 1453, 781, 1072, 543, 2916, 1689, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 4862, 827, 519, 2856, 540, 10610, 267, 9650, 267, 543, 13336, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 1281, 621, 1611, 2496, 8334, 281, 4270, 267, 621, 781, 899, 2921, 1416, 540, 3054, 607, 513, 2898, 269, 1411, 917, 875, 950, 596, 3548, 2635, 1426, 267, 596, 1745, 1434, 9308, 286, 2334, 781, 2921, 1416, 540, 707, 1560, 269, 1656, 950, 596, 1589, 2318, 4555, 610, 4194, 13410, 267, 596, 1745, 1434, 15508, 267, 1318, 286, 2334, 781, 2921, 1416, 540, 707, 2247, 269, 1809, 972, 781, 849, 1945, 1572, 6891, 267, 799, 1797, 4743, 6126, 543, 4448, 547, 1866, 543, 519, 1158, 1472, 721, 269, 898, 781, 1271, 547, 1491, 1416, 540, 782, 1614, 2694, 910, 1560, 267, 2247, 267, 543, 6891, 910, 547, 581, 2731, 2635, 543, 6126, 780, 7692, 281, 7937, 267, 594, 1294, 256, 1924, 899, 950, 594, 948, 16474, 1305, 519, 3349, 267, 594, 6415, 2921, 1416, 540, 1250, 1560, 676, 1373, 3742, 267, 1250, 2247, 676, 1565, 875, 547, 948, 267, 543, 1250, 6891, 676, 3257, 1945, 2186, 585, 2576, 3116, 780, 8334, 281, 22549, 267, 7585, 256, 4279, 2816, 1818, 1346, 4296, 269, 24935, 540, 4296, 267, 1705, 596, 917, 602, 930, 1004, 3494, 602, 938, 2729, 666, 581, 6766, 676, 519, 7158, 540, 6801, 543, 10785, 286, 901, 3661, 2501, 689, 31826, 780, 7692, 281, 26419, 286, 6145, 875, 519, 3141, 2242, 1282, 519, 1554, 543, 5540, 2436, 621, 781, 1769, 610, 4158, 3544, 2496, 8334, 281, 9877, 540, 899, 602, 267, 855, 811, 1808, 547, 1142, 1268, 781, 14512, 269, 1280, 1383, 267, 952, 596, 941, 4535, 950, 519, 6129, 729, 538, 519, 1129, 540, 24955, 630, 6518, 4523, 1063, 5147, 476, 2537, 6113, 543, 4864, 476, 2420, 526, 1070, 1287, 2274, 657, 1522, 2671, 1978, 7209, 7592, 899, 1373, 10121, 2828, 267, 21464, 267, 543, 15962, 3007, 269, 6496, 602, 3280, 899, 596, 2496, 7692, 281, 23010, 267, 2965, 621, 1281, 256, 3733, 14512, 568, 538, 4864, 256, 26272, 267, 865, 3168, 693, 6801, 666, 2995, 721, 827, 6000, 1932, 2496, 8334, 281, 8786, 267, 4352, 621, 781, 1175, 835, 1259, 547, 1174, 6000, 1732, 269, 6271, 4277, 1935, 2501, 689, 8109, 5389, 267, 971, 607, 10649, 543, 9066, 2853, 269, 1358, 1445, 593, 13326, 1648, 7740, 538, 938, 4703, 1634, 607, 669, 752, 6652, 269, 1635, 8026, 13514, 267, 7244, 5751, 267, 610, 14839, 2553, 267, 649, 666, 2087, 938, 2168, 1072, 1247, 849, 22196, 938, 8186, 543, 10575, 14823, 938, 14326, 780, 7692, 281, 15346, 256, 2052, 649, 2119, 930, 540, 1346, 1919, 1927, 28069, 286, 9320, 1310, 1153, 610, 1945, 2496, 8334, 281, 25999, 267, 7585, 256, 1284, 1223, 1376, 3500, 609, 930, 2653, 21018, 610, 2620, 24967, 269, 5457, 267, 5329, 7059, 538, 1560, 267, 2247, 267, 543, 6891, 3085, 1405, 723, 547, 581, 7294, 269, 4634, 1507, 3527, 1293, 2509, 4742, 519, 1655, 8747, 540, 6000, 269, 3767, 1577, 781, 979, 1404, 6952, 1354, 12129, 267, 15502, 2496, 7692, 281, 17610, 3364, 267, 7705, 256, 8729, 585, 7713, 3388, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13480, 2060, 2725, 563, 4131, 781, 10670, 2659, 17714, 563, 2691, 596, 1689, 519, 5748, 540, 707, 10069, 7497, 543, 1451, 875, 547, 4473, 1657, 519, 20754, 17565, 602, 779, 1044, 8066, 596, 1394, 2443, 24168, 1831, 519, 17082, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 5831, 814, 2141, 1044, 513, 3532, 1797, 540, 1582, 22325, 543, 5876, 269, 1717, 267, 519, 2872, 814, 849, 1044, 12735, 4240, 676, 2152, 971, 607, 14226, 267, 2825, 12159, 267, 543, 1560, 3239, 4145, 269, 769, 2487, 1296, 267, 513, 1007, 3350, 814, 7153, 1107, 6752, 14223, 267, 799, 6663, 547, 3895, 2318, 1689, 1369, 519, 2872, 269, 901, 2376, 12538, 883, 519, 1158, 540, 6752, 14223, 267, 3695, 922, 4644, 543, 519, 1764, 621, 666, 723, 593, 519, 6752, 2872, 563, 293, 5831, 14223, 568, 711, 1175, 827, 5009, 5683, 543, 4264, 6752, 2853, 267, 855, 849, 827, 4101, 519, 8155, 543, 11475, 10419, 18050, 676, 519, 2872, 269, 898, 568, 513, 1289, 585, 13784, 267, 4763, 267, 543, 16882, 269, 3414, 6752, 14223, 267, 2043, 543, 3906, 11441, 547, 1711, 513, 811, 12581, 543, 3743, 6752, 2872, 602, 24947, 1312, 1004, 543, 519, 4541, 563, 3080, 540, 519, 1883, 3344, 540, 6752, 14223, 568, 9870, 4656, 827, 519, 2942, 5222, 540, 519, 2872, 269, 3245, 519, 14226, 540, 28630, 4600, 538, 4418, 1846, 10914, 547, 519, 5533, 3361, 676, 3728, 6752, 267, 972, 616, 3875, 2152, 602, 991, 547, 581, 9619, 269, 22960, 15156, 946, 1585, 5867, 267, 971, 607, 1514, 2923, 11044, 267, 32026, 267, 543, 6752, 2982, 267, 547, 8774, 1769, 593, 891, 2042, 543, 5000, 6800, 547, 1118, 811, 6857, 6752, 5079, 563, 293, 5831, 14223, 849, 3322, 5885, 543, 5009, 4264, 543, 5683, 6752, 12478, 269, 1452, 12478, 4225, 4023, 4123, 267, 946, 13476, 7874, 2326, 267, 543, 2327, 2922, 2324, 2175, 585, 741, 5520, 269, 1635, 5885, 891, 12478, 267, 6800, 666, 3565, 547, 2318, 1689, 538, 519, 2872, 543, 6494, 513, 5048, 547, 6752, 3549, 602, 5683, 2853, 616, 711, 1152, 14909, 855, 849, 19311, 563, 13010, 267, 6752, 14223, 11394, 547, 4161, 519, 7522, 5898, 4441, 10419, 18050, 676, 519, 2872, 269, 898, 6663, 547, 3895, 1560, 25273, 543, 13784, 267, 14120, 3309, 1560, 2010, 267, 14797, 267, 25469, 267, 543, 5759, 269, 1635, 10023, 3631, 540, 1114, 7306, 267, 6502, 267, 543, 10080, 267, 6752, 15156, 11441, 547, 1711, 513, 811, 8537, 543, 11347, 6752, 2872, 602, 3032, 619, 547, 782, 563, 763, 1764, 540, 6752, 14223, 666, 2907, 581, 2938, 538, 519, 2872, 269, 11683, 6752, 12478, 616, 4358, 547, 1491, 5469, 543, 1118, 2242, 269, 1280, 3236, 267, 930, 12478, 723, 3323, 547, 4225, 11413, 538, 741, 3761, 11800, 267, 4180, 602, 741, 23157, 616, 3812, 31719, 269, 11524, 723, 9250, 4264, 10070, 610, 7550, 4642, 2914, 4292, 5663, 2853, 269, 1452, 2242, 616, 513, 1463, 1267, 540, 519, 2604, 25116, 676, 6752, 15156, 543, 6857, 6800, 563, 1103, 3932, 267, 6752, 14223, 568, 513, 3532, 3350, 602, 6663, 547, 3142, 827, 2318, 1689, 538, 519, 6752, 2872, 269, 898, 2591, 519, 4567, 28943, 267, 8992, 5683, 543, 4264, 2853, 267, 543, 22842, 4763, 543, 13784, 269, 1635, 9870, 4656, 267, 5885, 3743, 12478, 267, 543, 4101, 5898, 4441, 267, 6752, 15156, 616, 18534, 12686, 519, 2872, 883, 513, 811, 12581, 543, 3743, 835, 269, 898, 568, 998, 6752, 14223, 602, 649, 666, 1711, 513, 6752, 2872, 602, 711, 1152, 5654, 1434, 855, 849, 1281, 1434, 269, 0, 8139, 519, 11957, 540, 10610, 15310, 20970, 454, 28694, 3170, 6482, 568, 513, 2629, 2460, 540, 4509, 2949, 1072, 543, 1134, 5630, 269, 4197, 707, 1560, 3170, 6871, 4422, 3564, 1175, 2597, 2359, 282, 621, 2488, 3407, 5813, 883, 519, 5888, 540, 707, 1560, 269, 1635, 8308, 7893, 1560, 3170, 267, 596, 666, 2744, 513, 4514, 1620, 540, 707, 2168, 2783, 543, 1118, 5483, 3664, 827, 707, 6197, 5079, 563, 3080, 540, 519, 1883, 4128, 1946, 1560, 3170, 6482, 568, 1271, 568, 1317, 621, 2337, 538, 12570, 519, 1981, 540, 1585, 1072, 2175, 269, 28246, 1560, 3170, 814, 1044, 5532, 547, 606, 2799, 1981, 540, 2295, 2068, 267, 3987, 267, 543, 824, 5312, 10108, 269, 1635, 5464, 707, 1560, 3170, 6871, 267, 596, 616, 1732, 9280, 547, 1491, 2556, 3268, 547, 2569, 519, 4220, 2404, 609, 2362, 2157, 540, 1560, 3170, 269, 5047, 267, 1560, 3170, 6482, 3091, 513, 811, 4977, 8086, 540, 707, 3356, 538, 8236, 8516, 3853, 3379, 547, 3274, 13461, 593, 2597, 4805, 269, 898, 568, 513, 3407, 1907, 602, 666, 948, 596, 2226, 513, 2635, 1560, 5888, 543, 3895, 2949, 1134, 5630, 563, 763, 17943, 540, 10610, 15310, 20587, 720, 543, 922, 19043, 454, 28694, 3170, 6871, 568, 513, 2268, 540, 519, 2179, 540, 3170, 538, 707, 1560, 538, 6935, 547, 707, 2698, 2597, 269, 898, 568, 606, 1271, 13525, 540, 2949, 1072, 543, 568, 1419, 1031, 547, 2708, 1560, 5888, 269, 2755, 2348, 930, 1560, 3170, 568, 1898, 585, 1697, 9449, 1599, 543, 13471, 267, 7050, 1560, 3170, 666, 2333, 519, 1981, 540, 1585, 1072, 2152, 971, 607, 2295, 2068, 267, 3987, 267, 543, 1164, 1973, 2604, 563, 8139, 707, 1560, 3170, 6871, 666, 1683, 3407, 4030, 883, 707, 2949, 8516, 543, 4217, 538, 4259, 10853, 2597, 2530, 610, 4887, 2744, 3853, 269, 898, 568, 513, 811, 4977, 6482, 982, 3274, 3168, 693, 707, 2597, 593, 513, 4336, 267, 607, 621, 3217, 883, 7156, 519, 8167, 540, 3170, 8957, 4887, 538, 707, 1560, 269, 1635, 5464, 707, 1560, 3170, 6871, 267, 596, 666, 3313, 2436, 707, 1699, 3635, 543, 6484, 1544, 568, 4543, 596, 3035, 707, 5551, 1560, 5888, 543, 1118, 2556, 11941, 547, 11126, 707, 1072, 543, 8516, 2157, 563, 27609, 532, 585, 6452, 23847, 10610, 15310, 12763, 906, 454, 2414, 2327, 4977, 1560, 3170, 7403, 267, 621, 568, 1898, 547, 18113, 5965, 25656, 269, 901, 3322, 2921, 513, 1906, 2556, 3268, 547, 11126, 519, 6111, 543, 10727, 540, 707, 7403, 563, 5575, 543, 19466, 267, 621, 568, 1271, 547, 3251, 19872, 269, 1546, 5139, 1674, 666, 1860, 519, 6111, 540, 1560, 3170, 7403, 267, 4929, 519, 2960, 547, 581, 1447, 1139, 548, 543, 1818, 621, 9875, 547, 1491, 4977, 7403, 269, 898, 568, 5227, 547, 4235, 7899, 540, 1216, 538, 519, 2395, 3056, 909, 547, 707, 6482, 1554, 547, 2327, 1697, 20697, 563, 1103, 1840, 267, 621, 568, 1655, 547, 2057, 4189, 610, 16706, 5612, 1354, 7893, 707, 1560, 3170, 269, 3117, 11167, 513, 7594, 610, 2502, 538, 2168, 2534, 666, 1764, 707, 1560, 779, 1216, 12802, 267, 5732, 12018, 519, 2164, 269, 1677, 3035, 811, 4977, 7403, 267, 621, 568, 15695, 547, 2268, 707, 1560, 3170, 1354, 4189, 610, 16706, 585, 1896, 3108, 563, 3528, 1739, 891, 4549, 2218, 4808, 267, 596, 666, 948, 2327, 602, 707, 1560, 3170, 7403, 616, 607, 4977, 543, 6325, 607, 2009, 269, 5457, 267, 6111, 568, 2629, 950, 621, 2501, 547, 9477, 707, 3356, 543, 1818, 5483, 3664, 827, 707, 1072, 543, 8516, 3853, 563, 32575, 519, 22490, 13088, 585, 570, 1901, 8136, 10610, 15310, 20970, 454, 2414, 8308, 2268, 1560, 3170, 1210, 519, 570, 1901, 8136, 1505, 267, 972, 616, 513, 1906, 1898, 2645, 596, 786, 991, 269, 634, 1101, 1907, 568, 267, 5667, 584, 29418, 267, 513, 7893, 11746, 269, 5269, 2386, 621, 568, 513, 8465, 11746, 2268, 602, 666, 3362, 16833, 1472, 1585, 1560, 2694, 269, 3958, 267, 596, 786, 991, 513, 9498, 610, 513, 6049, 609, 513, 9498, 813, 547, 1685, 2241, 6310, 9273, 269, 901, 568, 2629, 607, 519, 570, 1901, 8136, 1505, 3340, 1808, 7403, 547, 17589, 519, 1560, 3170, 6871, 8308, 269, 7053, 267, 621, 568, 5227, 547, 723, 513, 4050, 543, 1957, 13561, 585, 795, 31857, 1524, 519, 7403, 543, 9273, 563, 4407, 621, 949, 3100, 899, 513, 3551, 1184, 267, 2348, 519, 1318, 2645, 568, 2629, 585, 13844, 5730, 543, 6325, 2164, 269, 4635, 513, 1166, 574, 1910, 11746, 2268, 949, 1267, 538, 25619, 7403, 267, 799, 666, 1291, 547, 11234, 1560, 3170, 9273, 269, 4475, 267, 10115, 538, 513, 1434, 2298, 7893, 11746, 568, 1898, 585, 4977, 570, 1901, 8136, 1560, 3170, 7403, 269, 1635, 4180, 596, 723, 519, 2556, 2645, 267, 596, 666, 8399, 18390, 609, 707, 1560, 3170, 6482, 3460, 563, 3721, 8386, 28157, 27491, 585, 25732, 10610, 15310, 609, 570, 1901, 8136, 454, 2414, 8308, 2268, 1560, 3170, 1210, 519, 570, 1901, 8136, 1505, 267, 596, 786, 991, 513, 8465, 11746, 2268, 543, 513, 9498, 269, 3399, 676, 7555, 20005, 609, 707, 7916, 17159, 693, 707, 5011, 269, 6875, 513, 2620, 7362, 538, 543, 1287, 17938, 1446, 267, 1818, 2386, 547, 6001, 707, 17737, 563, 9202, 267, 16833, 519, 11746, 2268, 1472, 519, 4102, 851, 540, 707, 17737, 267, 1175, 1657, 707, 12048, 7633, 269, 3550, 602, 519, 11746, 2268, 568, 2879, 1872, 1996, 707, 2960, 267, 855, 711, 865, 9395, 602, 621, 2007, 338, 538, 269, 6875, 4063, 540, 519, 6482, 538, 17744, 610, 6279, 1107, 713, 786, 581, 707, 22765, 18592, 563, 2414, 2268, 707, 8405, 18592, 267, 1747, 519, 11746, 2268, 1472, 519, 3490, 540, 707, 8405, 267, 1175, 2630, 707, 14088, 779, 11945, 269, 5901, 519, 11746, 2268, 1377, 543, 2327, 602, 621, 568, 711, 1932, 9395, 610, 10690, 269, 16680, 519, 6482, 563, 5629, 596, 723, 891, 7403, 267, 596, 666, 5173, 707, 1560, 3170, 6871, 1210, 519, 570, 1901, 8136, 4542, 269, 901, 4542, 3217, 883, 2272, 707, 22765, 543, 8405, 4931, 325, 3720, 267, 607, 1134, 607, 707, 4463, 543, 2597, 269, 898, 568, 513, 6325, 1505, 585, 21501, 1560, 3170, 6871, 267, 4352, 621, 949, 711, 581, 607, 4977, 607, 811, 4359, 2553, 971, 607, 667, 13052, 288, 18767, 610, 8652, 18878, 20604, 563, 13349, 27190, 1389, 547, 3680, 1282, 570, 1901, 8136, 10610, 15310, 12763, 906, 454, 13349, 27190, 1389, 547, 3680, 1282, 570, 1901, 8136, 10610, 15310, 12763, 906, 454, 16914, 23847, 1560, 3170, 7403, 616, 2629, 585, 9477, 707, 1072, 543, 8516, 3356, 269, 1677, 2327, 5730, 2164, 267, 621, 568, 1271, 547, 581, 3222, 540, 1455, 9073, 602, 666, 2049, 1282, 11746, 7952, 1560, 3170, 7403, 269, 1635, 9319, 891, 25354, 267, 596, 666, 2327, 602, 707, 7403, 616, 5812, 543, 6325, 563, 3080, 1455, 12161, 568, 711, 5265, 1739, 519, 6482, 7014, 269, 898, 568, 1271, 547, 14553, 15666, 547, 519, 13387, 2553, 5227, 585, 11746, 7952, 1560, 3170, 7403, 269, 901, 2882, 7157, 17568, 519, 11746, 2268, 267, 4180, 621, 568, 6252, 547, 519, 6989, 267, 543, 2921, 2789, 7403, 693, 1142, 3135, 547, 2272, 585, 1022, 27753, 269, 674, 9430, 547, 1246, 891, 4808, 666, 1291, 547, 25619, 2164, 543, 31495, 13133, 566, 540, 707, 1560, 3170, 6871, 269, 898, 568, 1898, 547, 1491, 519, 942, 547, 24559, 3054, 609, 519, 7014, 543, 2259, 519, 7403, 1354, 13461, 593, 873, 585, 9477, 707, 3356, 563, 11328, 31147, 519, 11778, 281, 1548, 2659, 10610, 15310, 20587, 720, 25824, 919, 454, 288, 1268, 779, 1560, 3170, 6871, 5713, 607, 513, 3407, 13525, 540, 741, 2949, 1072, 543, 8516, 1377, 269, 4197, 519, 2164, 540, 707, 1560, 3170, 6482, 666, 1683, 4030, 883, 1585, 3344, 540, 707, 1134, 5630, 269, 589, 2362, 1560, 3170, 6871, 1419, 6920, 513, 2362, 1981, 540, 8377, 267, 9025, 3676, 267, 543, 824, 1072, 2042, 269, 2201, 519, 824, 1688, 267, 513, 2539, 1560, 3170, 6871, 949, 2303, 513, 8902, 1560, 5888, 543, 513, 4389, 1981, 540, 1978, 3676, 269, 4935, 267, 16208, 707, 1560, 3170, 6871, 666, 948, 596, 2708, 707, 1699, 1072, 4567, 543, 1118, 5483, 3664, 827, 707, 6197, 543, 8516, 3853, 563, 13010, 267, 707, 1560, 3170, 6871, 666, 849, 1683, 3407, 1344, 827, 707, 8516, 3356, 543, 2773, 269, 1306, 596, 7832, 593, 513, 2597, 2530, 610, 4887, 20671, 3460, 267, 9477, 2242, 538, 707, 1560, 3170, 6871, 666, 948, 596, 3313, 952, 707, 3646, 616, 9878, 1055, 269, 590, 755, 7134, 5786, 538, 1560, 3170, 6871, 6920, 3811, 2597, 2530, 267, 1247, 606, 2333, 949, 2303, 4887, 2744, 269, 3958, 267, 9236, 707, 1560, 3170, 6871, 547, 824, 1560, 5888, 3334, 899, 4887, 2527, 666, 1683, 4030, 883, 519, 7145, 540, 707, 3635, 6296, 543, 2732, 269, 4197, 891, 2164, 786, 948, 596, 4188, 707, 8516, 543, 6484, 2994, 9935, 547, 3035, 707, 5551, 3853, 563, 21008, 532, 570, 1901, 8136, 20970, 609, 4033, 10610, 15310, 10495, 10613, 454, 307, 1901, 8136, 1560, 3170, 6482, 568, 1175, 835, 540, 1082, 2409, 2139, 585, 12570, 1560, 5888, 269, 2755, 621, 3091, 513, 2656, 543, 10375, 1259, 547, 7447, 1560, 3170, 6871, 267, 621, 568, 1271, 547, 1174, 875, 621, 19776, 547, 824, 4879, 2409, 563, 3080 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31716, 538, 1569, 547, 2860, 5574, 1312, 1369, 5245, 543, 11451, 1107, 538, 1880, 267, 799, 2550, 616, 7508, 856, 593, 5982, 3797, 585, 741, 2860, 563, 9199, 767, 1782, 547, 824, 2477, 971, 607, 25591, 1500, 3220, 962, 777, 29311, 602, 649, 2811, 1360, 18822, 547, 723, 1164, 7779, 1416, 1934, 267, 855, 621, 814, 849, 1500, 1200, 4983, 519, 31716, 1369, 5245, 563, 2108, 20751, 5245, 267, 594, 4076, 1044, 3168, 693, 8739, 24683, 4919, 2188, 799, 949, 581, 12018, 2436, 610, 711, 2550, 4309, 5982, 3797, 269, 1452, 616, 2188, 971, 607, 4008, 267, 4747, 267, 22693, 543, 1377, 540, 2069, 563, 2108, 10908, 984, 958, 267, 1018, 594, 4312, 1044, 14236, 568, 952, 1373, 689, 513, 1970, 268, 543, 1647, 13867, 2197, 7506, 2436, 610, 711, 2550, 616, 3478, 1569, 547, 5982, 3797, 269, 1548, 649, 1294, 568, 602, 9247, 519, 25013, 519, 2197, 513, 3461, 568, 689, 519, 1447, 4960, 789, 723, 540, 1373, 2111, 547, 1569, 5732, 1272, 22766, 5982, 3797, 3034, 7804, 962, 777, 779, 5075, 568, 2312, 281, 968, 296, 1616, 547, 3136, 20678, 2509, 4543, 782, 2860, 2550, 2066, 519, 1158, 547, 581, 2111, 547, 1569, 1164, 2298, 2860, 1416, 1519, 5982, 3797, 267, 1100, 2339, 1141, 789, 2811, 689, 267, 875, 789, 2697, 610, 741, 1377, 540, 4747, 3034, 7804, 5484, 8055, 454, 7804, 5484, 8055, 568, 519, 25927, 1049, 3194, 29533, 693, 6167, 14684, 6925, 779, 10418, 585, 2201, 19223, 4065, 543, 3194, 22564, 630, 25321, 290, 12224, 1916, 2108, 7069, 960, 568, 5059, 593, 4543, 1004, 4383, 519, 1764, 540, 2860, 593, 741, 2298, 540, 1272, 269, 1284, 1445, 593, 513, 2039, 540, 3292, 547, 948, 1004, 1118, 1732, 2126, 3664, 676, 26655, 873, 827, 741, 1114, 3681, 269, 901, 2882, 7589, 538, 2860, 4791, 8062, 267, 513, 1883, 851, 540, 14027, 2860, 1416, 2223, 646, 3081, 563, 2108, 7021, 519, 2250, 1906, 5756, 649, 4312, 1831, 1454, 1732, 693, 23235, 543, 8156, 2860, 865, 972, 616, 513, 1804, 1297, 540, 1004, 2713, 609, 543, 3564, 2860, 1631, 269, 1284, 991, 547, 1445, 593, 741, 2115, 543, 875, 649, 666, 948, 891, 1004, 2972, 513, 1434, 2298, 540, 1272, 1310, 2126, 267, 1317, 621, 781, 513, 1804, 543, 3395, 2551, 3034, 3891, 3081, 1010, 1445, 568, 593, 4543, 3025, 4299, 676, 2860, 912, 14071, 723, 513, 2890, 6523, 332, 540, 519, 2518, 2551, 538, 5045, 7262, 17638, 865, 2622, 9435, 4303, 585, 803, 568, 827, 3843, 547, 948, 16764, 4299, 676, 2860, 28000, 540, 1018, 741, 4282, 568, 267, 1018, 1893, 789, 3717, 543, 1141, 789, 2097, 689, 3034, 7804, 4165, 334, 6839, 974, 1323, 1794, 29081, 454, 7804, 4165, 334, 6839, 974, 1323, 1794, 29081, 568, 513, 17328, 8824, 543, 15730, 32346, 6048, 5059, 593, 12272, 11208, 1107, 15866, 15388, 519, 10285, 4145, 540, 2860, 2550, 563, 14071, 917, 835, 538, 476, 1015, 17328, 8824, 267, 15730, 543, 1762, 2937, 2550, 540, 513, 10285, 2085, 786, 723, 513, 10285, 28658, 607, 513, 1267, 540, 2901, 519, 2860, 3294, 610, 519, 2860, 2126, 563, 2108, 293, 19910, 11091, 568, 2629, 585, 2550, 543, 2550, 1205, 1732, 4093, 952, 789, 616, 3222, 543, 723, 1569, 1991, 547, 2860, 2126, 269, 1403, 649, 666, 1205, 12272, 11208, 1416, 4358, 1354, 5868, 267, 938, 2550, 786, 4324, 3034, 9515, 3081, 602, 1200, 5326, 568, 602, 1100, 3461, 786, 723, 10285, 8374, 1310, 2860, 2126, 563, 2108, 6546, 1797, 649, 991, 547, 960, 609, 938, 6211, 3173, 593, 1007, 11257, 602, 786, 2061, 930, 540, 519, 2360, 540, 2860, 2126, 593, 12680, 269, 1656, 649, 991, 547, 960, 609, 938, 3621, 9164, 543, 10551, 9164, 3843, 547, 2087, 519, 12680, 3681, 3034, 7804, 1323, 1794, 29081, 729, 18931, 609, 1614, 17758, 538, 3735, 476, 1001, 279, 267, 10888, 519, 29547, 10060, 12854, 15443, 28371, 13815, 543, 519, 25947, 6554, 7896, 13815, 693, 519, 29517, 20031, 1512, 779, 22952, 563, 2108, 310, 15619, 891, 17758, 729, 1271, 1317, 621, 4847, 519, 2319, 547, 581, 17019, 855, 849, 585, 721, 538, 513, 1360, 2123, 1259, 281, 513, 2603, 540, 519, 7616, 568, 2016, 547, 10826, 2860, 267, 799, 568, 1271, 267, 543, 865, 12272, 11208, 4991, 513, 1360, 1507, 2179, 540, 3007, 543, 13604, 513, 1507, 2179, 540, 7616, 269, 634, 17758, 723, 4547, 3007, 547, 1945, 602, 649, 798, 3034, 2414, 1665, 2622, 9435, 4303, 267, 6167, 14684, 6925, 543, 922, 4891, 616, 4881, 606, 2680, 29519, 693, 519, 769, 724, 600, 4659, 540, 11930, 6481, 3194, 547, 13686, 5698, 543, 1382, 538, 519, 1858, 540, 11871, 609, 4057, 4093, 269, 634, 2680, 1107, 4881, 689, 476, 1321, 1107, 476, 272, 281, 1789, 10975, 910, 786, 581, 2139, 3842, 2661, 18297, 269, 0, 290, 817, 6019, 22362, 454, 6701, 519, 30676, 593, 707, 29475, 2371, 27315, 1154, 543, 12955, 267, 1256, 1498, 596, 4312, 2016, 519, 2371, 7899, 540, 1216, 286, 1358, 949, 581, 7783, 676, 645, 17424, 654, 2830, 269, 901, 2068, 568, 3361, 676, 513, 4551, 602, 11690, 338, 909, 519, 1216, 10647, 8031, 538, 519, 2371, 543, 568, 5645, 543, 3262, 676, 519, 29475, 27134, 269, 634, 1152, 1505, 540, 6604, 568, 547, 1852, 519, 27134, 1354, 789, 3049, 593, 707, 2371, 269, 4495, 519, 2371, 723, 1044, 7783, 609, 519, 4551, 267, 519, 2030, 786, 5555, 530, 2830, 543, 5884, 269, 595, 1075, 13246, 616, 519, 1455, 6408, 540, 645, 17424, 654, 2830, 855, 5283, 976, 267, 23601, 267, 6802, 9469, 267, 543, 575, 712, 1091, 666, 849, 581, 7783, 609, 519, 2068, 563, 2304, 628, 2350, 333, 846, 568, 1776, 1455, 29475, 2068, 799, 4386, 1282, 6632, 3636, 4365, 610, 950, 519, 31480, 616, 20057, 1194, 538, 519, 10543, 269, 12580, 1331, 5180, 1216, 865, 8898, 9634, 593, 519, 3762, 799, 2490, 6960, 543, 1831, 10169, 3141, 5287, 269, 634, 2068, 568, 3262, 676, 10943, 4770, 4764, 610, 676, 3001, 998, 707, 31480, 950, 519, 3762, 616, 6632, 269, 2552, 13764, 16262, 2350, 333, 846, 568, 2352, 2899, 519, 2068, 568, 3978, 563, 17951, 983, 6978, 5544, 568, 513, 9190, 2068, 799, 3123, 4009, 547, 14328, 8032, 1216, 9634, 547, 1020, 593, 519, 3762, 269, 13536, 519, 9634, 2490, 6960, 267, 3819, 909, 267, 543, 1020, 986, 13949, 17229, 538, 519, 4099, 269, 634, 9190, 936, 24475, 593, 3676, 29475, 20549, 538, 519, 2361, 610, 29475, 6079, 269, 30495, 10047, 267, 2973, 6079, 267, 543, 1210, 7601, 9033, 8336, 1282, 3636, 6632, 4365, 568, 5227, 585, 1852, 563, 30106, 15957, 1284, 514, 10458, 267, 22362, 29088, 2159, 584, 626, 1299, 9457, 8493, 10273, 18509, 13541, 2008, 347, 17490, 281, 630, 3583, 272, 264, 476, 25240, 268, 31816, 278, 2008, 7883, 547, 6176, 8525, 454, 7883, 547, 29088, 22450, 8525, 0, 3383, 649, 12446, 693, 8847, 540, 1312, 3621, 2035, 689, 20592, 2861, 3450, 546, 32713, 630, 1220, 279, 264, 1353, 1070, 840, 28129, 3610, 941, 26906, 538, 1114, 2081, 269, 634, 3355, 5967, 7018, 5612, 1310, 1354, 267, 1310, 267, 2394, 267, 952, 630, 328, 9950, 269, 476, 277, 269, 2701, 7012, 512, 602, 513, 1804, 2179, 540, 2724, 547, 2322, 621, 7646, 569, 267, 713, 568, 547, 581, 14063, 538, 3664, 1472, 519, 1482, 3804, 269, 1284, 723, 547, 7390, 269, 10671, 2231, 602, 1053, 9907, 689, 476, 276, 547, 476, 1626, 3785, 547, 1020, 1010, 25349, 6436, 267, 1018, 4523, 585, 803, 568, 2356, 538, 32414, 12422, 269, 1306, 18896, 11634, 13232, 849, 476, 1626, 1650, 16447, 338, 2066, 2923, 666, 581, 3812, 676, 4213, 602, 6964, 1762, 1453, 941, 538, 3196, 267, 15426, 272, 610, 269, 476, 5392, 628, 5557, 267, 513, 4627, 610, 513, 1808, 30827, 2773, 6221, 538, 519, 11350, 1354, 789, 4682, 827, 519, 19427, 540, 1344, 593, 547, 4019, 513, 1239, 12454, 1565, 12191, 267, 799, 5161, 540, 1739, 513, 2413, 7613, 602, 1004, 1413, 593, 741, 1378, 269, 769, 713, 2013, 568, 835, 945, 814, 1010, 610, 1200, 1394, 269, 1215, 1454, 1469, 607, 585, 6634, 540, 6550, 585, 519, 28219, 18294, 9916, 2188, 602, 786, 581, 4330, 538, 3296, 476, 278, 269, 274, 269, 277, 269, 9747, 267, 1018, 1223, 581, 10199, 4330, 607, 621, 568, 1631, 1158, 4583, 585, 1010, 7385, 267, 713, 729, 711, 7928, 630, 7758, 894, 12451, 540, 519, 1390, 2489, 10880, 538, 24469, 855, 1472, 519, 1482, 607, 538, 519, 4661, 4589, 543, 1568, 7157, 609, 519, 3332, 799, 616, 711, 1808, 547, 519, 15669, 267, 10771, 602, 11356, 5359, 267, 1686, 2835, 267, 9089, 267, 8874, 267, 13371, 17446, 267, 543, 12416, 547, 519, 4877, 21332, 3594, 10388, 1557, 4367, 5037, 454, 10907, 27854, 6863, 538, 15226, 1603, 543, 8763, 10096, 1496, 321, 867, 6202, 267, 1818, 2495, 476, 280, 267, 3312, 8561, 282, 1294, 849, 798, 548, 1714, 267, 689, 7247, 2669, 4944, 1678, 6382, 3217, 519, 1106, 540, 19858, 18532, 1143, 1934, 267, 607, 865, 1419, 649, 3247, 2731, 7487, 1018, 7018, 267, 3956, 856, 269, 7490, 8936, 707, 6437, 3857, 2801, 610, 16056, 269, 769, 1142, 851, 540, 1010, 1272, 3384, 513, 3069, 568, 6508, 689, 1346, 540, 519, 3312, 21658, 269, 11109, 3254, 1018, 2797, 267, 5837, 610, 2797, 6811, 269, 476, 272, 5148, 519, 1871, 540, 11147, 513, 7839, 2259, 538, 519, 2186, 540, 3948, 568, 1945, 3982, 689, 835, 547, 2736, 610, 1689, 568, 1018, 1419, 4667, 547, 581, 4857, 269, 769, 476, 3192, 277, 267, 524, 4206, 3370, 519, 2164, 602, 9305, 547, 1650, 16447, 338, 267, 1498, 267, 1476, 331, 908, 16697, 762, 7653, 610, 5036, 540, 12583, 269, 476, 276, 269, 4578, 3349, 1239, 7515, 616, 2356, 711, 6719, 607, 1373, 1936, 730, 676, 970, 2784, 773, 1326, 545, 1936, 2209, 666, 267, 693, 1655, 267, 22801, 543, 267, 693, 519, 1439, 540, 1158, 2112, 1775, 267, 1810, 512, 979, 1394, 269, 1403, 513, 4845, 609, 519, 5639, 568, 1226, 730, 609, 519, 269, 1358, 7670, 1679, 267, 3976, 22867, 835, 540, 519, 28048, 267, 543, 519, 6198, 21038, 585, 4081, 5931, 269, 13642, 6039, 607, 519, 7664, 540, 1757, 1275, 269, 476, 6078, 1686, 540, 24469, 269, 634, 5304, 19424, 539, 585, 1453, 538, 6288, 269, 898, 723, 547, 1489, 513, 18515, 547, 1174, 519, 561, 332, 3294, 568, 7361, 12082, 538, 1010, 12784, 1547, 1547, 2334, 8451, 689, 4145, 827, 519, 14849, 991, 547, 917, 264, 1131, 17854, 513, 1808, 16950, 538, 1053, 1967, 267, 519, 1974, 14754, 519, 1646, 540, 971, 513, 4493, 585, 519, 8675, 269, 634, 998, 11060, 540, 519, 12031, 269, 10417, 7851, 2099, 12438, 1049, 3889, 543, 1863, 6351, 689, 9886, 12665, 538, 7998, 267, 930, 616, 1644, 630, 326, 718, 267, 536, 3073, 267, 1299, 7086, 267, 476, 1960, 275, 264, 3732, 585, 519, 28219, 18294, 9916, 2188, 602, 786, 5815, 1346, 1797, 602, 519, 16555, 1360, 2038, 269, 1306, 6045, 538, 3349, 476, 276, 269, 280, 269, 1809, 476, 25396, 4853, 543, 1857, 1719, 1876, 10909, 269, 4510, 666, 1491, 547, 581, 5693, 1541, 328, 2111, 269, 2201, 835, 8317, 267, 594, 4371, 585, 2663, 946, 267, 1498, 594, 798, 711, 4866, 547, 519, 627, 15501, 543, 16858, 540, 1250, 5108, 6745, 4185, 1957, 3584, 721, 1686, 5098, 3948, 585, 2979, 1557, 454, 4462, 542, 1125, 264, 538, 519, 1964, 540, 519, 4182, 267, 610, 267, 952, 835, 20401, 525, 547, 519, 4342, 518, 777, 3205, 547, 798, 811, 610, 1447, 14961, 998, 519, 519, 4513, 543, 4744, 31277, 3274, 8831, 519, 2039, 540, 519, 269, 769, 5618, 267, 971, 2609, 607, 789, 616, 630, 11357, 915, 1947, 264, 6719, 538, 519, 3989, 2694, 540, 642, 331, 1228, 330, 521, 1650, 7954, 267, 799, 568, 606, 7005, 11570, 5424, 267, 6085, 9644, 3585, 593, 610, 6202, 521, 1433, 2587, 11253, 521, 607, 1127, 6607, 13702, 9643, 689, 24076, 547, 979, 547, 1007, 3584, 585, 799, 594, 723, 2799, 2875, 9740, 269, 476, 272, 269, 901, 568, 546, 1177, 5459, 2749, 267, 1287, 24716, 873, 609, 12863, 267, 811, 24534, 1913, 269, 476, 278, 630, 3422, 280, 2567, 476, 26783, 267, 5873, 628, 11482, 3869, 5861, 1941, 749, 9950, 706, 11305, 22080, 14121, 270, 3667, 270, 476, 3451, 1257, 268, 30915, 286, 290, 284, 515, 14390, 282, 573, 7224, 284, 5325, 277, 15171, 276, 318, 13970, 318, 277, 269, 4107, 2090, 540, 519, 1239, 4015, 1101, 569, 267, 519, 11001, 547, 707, 3483, 543, 1382, 19165, 269, 898, 729, 607, 1164, 607, 5722, 11528 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13722, 5777, 563, 289, 269, 21253, 1043, 7306, 563, 290, 269, 1230, 1597, 1304, 4087, 563, 291, 269, 2657, 1512, 1426, 563, 12585, 281, 667, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4009, 12457, 12308, 4816, 834, 536, 834, 12308, 12457, 4009, 4816, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 6343, 568, 513, 2241, 1259, 547, 3313, 519, 2085, 513, 3529, 286, 676, 10203, 922, 5180, 6418, 24795, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 918, 928, 9934, 281, 589, 812, 9054, 1564, 593, 835, 12597, 538, 513, 4055, 543, 12909, 547, 519, 8254, 269, 634, 812, 12651, 1010, 1318, 6186, 543, 10301, 547, 519, 2666, 609, 1010, 2451, 1688, 269, 634, 812, 454, 288, 269, 9054, 1564, 547, 5905, 1010, 13676, 21015, 563, 289, 269, 17176, 543, 1281, 519, 824, 2427, 563, 290, 269, 3076, 1206, 1010, 1318, 6186, 909, 543, 1394, 593, 563, 291, 269, 12651, 1010, 1318, 6186, 563, 12585, 281, 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 ]
[ 0, 27662, 2831, 1267, 538, 7864, 661, 269, 19546, 454, 306, 580, 14725, 808, 269, 670, 879, 613, 814, 6594, 519, 1198, 540, 519, 3800, 8045, 593, 11396, 543, 538, 26718, 17346, 269, 634, 2832, 540, 519, 1788, 834, 4462, 4186, 3133, 730, 595, 2117, 13293, 257, 729, 547, 10625, 1239, 602, 1131, 948, 547, 2087, 519, 31978, 545, 2298, 540, 5779, 689, 12418, 543, 13265, 676, 1797, 540, 15777, 2831, 543, 3608, 2081, 540, 26718, 532, 1164, 16151, 2831, 563, 292, 269, 19546, 568, 513, 4122, 9648, 24059, 538, 519, 9667, 8778, 540, 3425, 267, 2831, 543, 5017, 269, 3807, 513, 1906, 12490, 616, 23633, 543, 666, 2014, 13165, 543, 8459, 5821, 267, 3226, 538, 1453, 269, 634, 4551, 5884, 693, 5210, 936, 476, 2568, 268, 3583, 11019, 290, 543, 616, 4061, 7363, 17515, 676, 14495, 543, 887, 8463, 269, 670, 879, 613, 814, 3254, 602, 513, 1007, 267, 4028, 679, 9195, 1738, 1505, 585, 16326, 661, 269, 19546, 568, 8449, 607, 6325, 607, 519, 2757, 1505, 540, 3395, 4551, 2528, 269, 901, 1007, 1505, 568, 4061, 5078, 585, 5464, 661, 269, 19546, 538, 705, 16201, 15077, 563, 20228, 5922, 17346, 723, 1949, 585, 11008, 2358, 2831, 2687, 547, 875, 18660, 789, 616, 269, 15907, 476, 274, 268, 276, 260, 540, 519, 2831, 602, 12446, 693, 705, 16201, 15077, 616, 865, 3037, 539, 602, 789, 616, 11008, 2213, 607, 1164, 16151, 269, 5272, 1032, 267, 17429, 2388, 538, 519, 3902, 540, 5779, 1813, 547, 18660, 2831, 2179, 547, 936, 476, 280, 2929, 21785, 737, 1258, 619, 269, 1924, 6150, 26718, 666, 10460, 513, 1981, 547, 1426, 3106, 1317, 535, 2801, 806, 593, 554, 1938, 11320, 944, 267, 24026, 267, 31009, 543, 519, 3946, 540, 519, 855, 7129, 666, 581, 11843, 547, 519, 5779, 1282, 519, 26718, 1184, 269, 670, 879, 613, 6594, 519, 2188, 7133, 519, 27194, 540, 2831, 593, 11396, 543, 875, 2973, 610, 3037, 539, 12404, 5540, 519, 12526, 540, 2960, 2740, 1286, 322, 13293, 269, 4173, 6901, 9672, 602, 5779, 689, 18660, 12418, 814, 811, 661, 269, 19546, 982, 5779, 689, 2973, 12418, 563, 9515, 788, 6705, 616, 849, 16271, 547, 3902, 20214, 585, 18660, 543, 5667, 1817, 333, 2831, 269, 670, 879, 613, 781, 1382, 4951, 602, 519, 2627, 540, 5779, 689, 695, 1941, 13265, 814, 1447, 661, 269, 19546, 982, 602, 540, 5667, 1817, 333, 13265, 5612, 1310, 2960, 940, 543, 602, 519, 1448, 538, 942, 602, 519, 13265, 616, 695, 1941, 1354, 26718, 532, 568, 849, 1713, 950, 621, 2501, 547, 519, 2179, 540, 4551, 5612, 1310, 2960, 940, 269, 1809, 2509, 519, 1439, 540, 519, 26718, 532, 1184, 267, 782, 519, 5779, 1185, 3160, 5666, 540, 661, 269, 19546, 593, 922, 2627, 267, 7488, 540, 950, 519, 13265, 941, 695, 1941, 563, 291, 8812, 543, 5667, 1817, 333, 2831, 616, 2808, 513, 1164, 1981, 269, 1358, 616, 5701, 538, 5094, 1587, 12535, 538, 519, 26718, 17346, 543, 741, 5779, 568, 711, 1031, 585, 6151, 2472, 971, 607, 1295, 1027, 5779, 543, 23174, 5779, 267, 855, 585, 2472, 602, 616, 3002, 5701, 1354, 9042, 630, 7945, 607, 30725, 1137, 543, 5779, 27750, 3092, 8094, 4200, 269, 276, 260, 5786, 540, 661, 269, 19546, 454, 9288, 520, 689, 22917, 2125, 729, 554, 2216, 609, 1216, 693, 476, 11025, 11019, 290, 585, 476, 279, 7643, 538, 606, 20583, 834, 3333, 1077, 257, 910, 865, 10777, 3905, 1216, 13594, 584, 5314, 910, 1354, 621, 729, 22799, 269, 901, 2126, 4389, 519, 2179, 540, 661, 269, 19546, 593, 1286, 322, 13293, 676, 476, 4200, 269, 276, 10065, 2991, 476, 276, 2395, 540, 9023, 267, 1100, 2417, 661, 269, 19546, 941, 1336, 593, 519, 5779, 269, 634, 13381, 1216, 538, 519, 17643, 729, 540, 513, 1434, 18117, 1670, 267, 3114, 543, 2168, 2298, 269, 8056, 2664, 2299, 1310, 13594, 584, 5314, 267, 519, 5779, 729, 2864, 12779, 267, 855, 621, 1036, 7134, 922, 3339, 7990, 1310, 1373, 22799, 585, 476, 2190, 3108, 563, 31640, 1216, 13594, 584, 5314, 568, 711, 3622, 7608, 607, 513, 9882, 2268, 538, 16157, 543, 519, 9167, 543, 519, 21785, 5253, 8881, 16958, 1131, 723, 547, 2285, 922, 13170, 267, 952, 519, 1505, 568, 547, 581, 1031, 693, 26718, 17346, 269, 12182, 1216, 13594, 584, 5314, 786, 1073, 341, 5573, 519, 991, 585, 5094, 1587, 12535, 538, 705, 16201, 15077, 585, 1164, 16151, 13265, 563, 290, 663, 269, 698, 878, 269, 590, 580, 14725, 808, 269, 670, 879, 613, 29846, 1200, 25719, 1382, 593, 476, 273, 526, 2904, 476, 1001, 273, 693, 634, 21785, 3427, 540, 27259, 3163, 630, 301, 309, 295, 264, 609, 513, 5098, 13886, 5754, 8162, 545, 1764, 540, 3800, 1644, 547, 11515, 534, 12418, 543, 13265, 693, 3484, 1377, 543, 538, 519, 705, 16201, 597, 563, 17809, 3660, 676, 21785, 3427, 540, 27259, 3163, 454, 268, 661, 269, 19546, 538, 519, 24781, 281, 4171, 1966, 568, 621, 19037, 286, 4119, 476, 1839, 267, 476, 1001, 272, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 681, 27570, 5779, 540, 661, 269, 19546, 7325, 476, 6734, 267, 476, 1220, 279, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 2142, 1030, 12696, 9513, 5779, 609, 661, 269, 19546, 8734, 476, 1321, 267, 476, 1220, 278, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 29583, 1405, 547, 3432, 9477, 540, 661, 269, 19546, 538, 5779, 2904, 476, 6349, 267, 476, 1001, 273, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 2475, 10966, 5480, 16765, 5281, 4993, 5779, 3106, 1876, 3967, 476, 2537, 267, 476, 1001, 273, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 18289, 8226, 20460, 1243, 281, 4400, 1912, 328, 1198, 2591, 3964, 5163, 8226, 10054, 4455, 476, 2537, 267, 476, 1001, 274, 1923, 476, 274, 1315, 476, 276, 630, 273, 264, 1923, 476, 273, 454, 268, 32506, 596, 666, 798, 594, 666, 798, 1732, 281, 3026, 23757, 12817, 13210, 540, 519, 27166, 21903, 630, 10000, 11845, 264, 4455, 476, 6349, 267, 476, 1001, 274, 1923, 476, 275, 269, 276, 1315, 476, 276, 630, 1556, 264, 1923, 476, 276, 454, 268, 634, 3308, 1062, 607, 30168, 281, 22532, 4199, 14305, 538, 3308, 9542, 3057, 476, 1789, 267, 476, 1001, 274, 1923, 476, 276, 1315, 476, 276, 630, 273, 264, 1923, 476, 280, 454, 268, 9484, 26147, 2729, 281, 3026, 584, 4689, 543, 11248, 531, 12468, 335, 753, 1232, 537, 9482, 3057, 476, 2767, 267, 476, 1001, 274, 1923, 476, 275, 269, 280, 1315, 476, 276, 630, 279, 264, 1923, 476, 271, 454, 268, 590, 1944, 1919, 909, 281, 634, 12105, 5778, 321, 5735, 540, 4336, 23223, 766, 4924, 476, 2764, 267, 476, 1001, 274, 1923, 476, 275, 269, 279, 1315, 476, 276, 630, 1015, 264, 1923, 476, 1691, 454, 12218, 673, 543, 17747, 23317, 3842, 17389, 620, 613, 30944, 454, 14257, 476, 1428, 267, 476, 1001, 272, 594, 9364, 899, 547, 1930, 513, 4901, 8142, 585, 4528, 476, 273, 540, 519, 8908, 540, 1250, 1433, 15234, 12218, 673, 543, 17747, 23317, 3842, 17389, 620, 613, 30944, 262, 3299, 2139, 2228, 693, 5291, 2517, 17427, 331, 30784, 343, 643, 3820, 270, 11274, 270, 32146, 271, 269, 6200, 280, 2073, 543, 585, 519, 2483, 268, 2859, 689, 8212, 1280, 4548, 910, 18763, 3194, 454, 5415, 3377, 2984, 454, 288, 1957, 5063, 3370, 538, 519, 1715, 4789, 4750, 540, 6925, 543, 1071, 27787, 676, 13500, 543, 3744, 693, 519, 2160, 540, 12548, 3427, 540, 6925, 9060, 602, 606, 1271, 4719, 1981, 3815, 585, 17422, 4017, 4592, 4429, 291, 1047, 1162, 267, 17148, 267, 5204, 526, 27689, 476, 1724, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 8794, 519, 4972, 540, 16470, 5395, 636, 3115, 12141, 630, 2710, 9169, 305, 1070, 2160, 540, 595, 32385, 10620, 630, 10813, 264, 3173, 723, 4857, 513, 1297, 540, 31036, 585, 12982, 15108, 2068, 630, 296, 9720, 1070, 799, 1223, 948, 609, 4505, 5868, 543, 4429, 291, 1047, 1162, 267, 17148, 267, 5204, 526, 27689, 476, 1724, 3108, 3516, 1923, 476, 276, 1315, 476, 276, 630, 272, 264, 1923, 476, 271, 454, 263, 10890, 21196, 28931, 16248, 6709, 11467, 540, 1857, 3506, 538, 519, 1558, 549, 24611, 1858, 2270, 17973, 267, 1519, 4551, 10834, 519, 4527, 540, 32740, 2339, 267, 2687, 547, 1382, 3370, 538, 519, 2904, 476, 1704, 3390, 540, 4429, 291, 1047, 1162, 267, 17148, 267, 5204, 526, 27689, 476, 1691, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 263, 10890, 21196, 28931, 26502, 971, 607, 2799, 2013, 4466, 949, 2491, 1946, 12309, 1185, 3368, 540, 519, 2698, 11983, 5563, 2404, 609, 13572, 18861, 335, 1042, 333, 18066, 821, 21449, 622, 538, 519, 2487, 16507, 23971, 4345, 4429, 291, 1047, 1162, 267, 17148, 267, 5204, 526, 27689, 476, 1691, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 763, 1158, 568, 12707, 335, 1563, 585, 513, 7372, 3644, 12176, 267, 519, 1244, 14280, 8783, 540, 519, 2622, 2657, 9257, 19230, 13638, 267, 8015, 12194, 602, 670, 278, 301, 280, 6177, 2770, 11495, 3624, 1223, 10641, 883, 513, 1106, 602, 19082, 3362, 1851, 1004, 563, 291, 1047, 1162, 267, 17148, 267, 5204, 526, 27689, 476, 1428, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 263, 4338, 28931, 763, 25650, 540, 24144, 267, 20957, 1421, 814, 598, 1027, 539, 14710, 538, 606, 4674, 547, 1039, 21973, 547, 519, 2749, 781, 6704, 1216, 563, 2641, 7643, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 3674, 621, 7989, 24777, 547, 2800, 835, 547, 4688, 1082, 286, 8409, 945, 4043, 547, 2161, 834, 13433, 257, 950, 5185, 609, 713, 5929, 14196, 616, 2693, 547, 581, 28119, 538, 513, 1808, 2186, 540, 6568, 267, 2687, 547, 513, 1867, 3370, 538, 519, 3621, 4760, 4429, 272, 5662, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 11406, 4942, 11209, 919, 281, 5530, 6402, 6464, 4922, 1336, 538, 15229, 267, 9268, 1426, 547, 11506, 1973, 2604, 538, 1453, 267, 12322, 454, 5522, 2880, 21187, 1634, 607, 943, 11209, 919, 630, 29455, 8946, 3201, 268, 919, 264, 616, 17627, 1652, 267, 2681, 1652, 543, 1175, 827, 10876, 281, 1358, 2490, 909, 538, 32466, 267, 5068, 11680, 267, 11824, 11084, 267, 5068, 16833, 267, 32326, 8685, 532, 543, 1765, 3147, 1800, 547, 519, 4429, 273, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 272, 11406, 263, 21357, 2473, 12304, 28931, 30943, 9082, 538, 4525, 1141, 12514, 616, 16613, 3006, 2746, 609, 13657, 950, 741, 4605, 568, 3144, 269, 634, 4250, 602, 1945, 1590, 723, 1044, 21687, 689, 873, 547, 1711, 519, 8666, 4429, 866, 3108, 3516, 1923, 476, 275, 269, 273, 1315, 476, 276, 630, 276, 264, 1923, 476, 271, 11406, 263, 21357, 2473, 12304, 28931, 8601, 7836, 17542, 540, 9489, 593, 1382, 543, 1646, 267, 3075, 3549, 723, 1044, 8572, 547, 2097, 909, 609, 2500, 5574, 585, 12110, 543, 12216, 781, 8376, 630, 4696, 1040, 3767, 267, 589, 269, 4429, 1704, 3108, 3516, 1923, 476, 275, 269, 280, 1315, 476, 276, 630, 1691, 264, 1923, 476, 271, 11406, 288, 26894, 3744, 723, 5750, 539, 519, 2619, 540, 7378, 2962, 538, 2281, 538, 5730, 1469, 899, 2760, 1354, 269, 901, 2488, 513, 3102, 29685, 585, 1620, 1018, 4422, 4636, 538, 3987, 563, 866, 3108, 3516, 1923, 476, 275, 269, 277, 1315, 476, 276, 630, 278, 264, 1923, 476, 271, 1923, 0, 12552, 547, 513, 4686, 4551, 602, 9428, 1152, 593, 7725, 538, 519, 18230, 32595, 267, 3173, 693, 634, 2160, 540, 7147, 693, 21388, 543, 519, 30854, 584, 4659, 538, 5333, 723, 1044, 519, 1101, 547, 2697, 875, 4568, 1522, 4429, 21357, 1382, 4455, 476, 1839, 267, 476, 1001, 274, 1923, 476, 276, 1315, 476, 276, 630, 272, 264, 1923, 476, 273, 11406, 263, 21357, 2473, 12304, 28931, 2704, 4022, 21568, 538, 1762, 1004, 3123, 1713, 2242, 538, 741, 2634, 1599, 543, 2497, 269, 901, 543, 824, 4681, 941, 5063, 12649, 676, 3220, 12253, 19555, 839, 689, 519, 2160, 540, 17638, 781, 11020, 543, 9650, 3194, 4659, 538, 519, 795, 4429, 10890, 5463, 476, 1240, 267, 476, 1001, 273, 1923, 476, 276, 1315, 476, 276, 630, 272, 264, 1923, 476, 271, 11406, 263, 21357, 2473, 12304, 28931, 19185, 693, 513, 8126, 1194, 2527, 540, 3060, 15791, 726, 28289, 883, 513, 22125, 18760, 3085, 1405, 6556, 1454, 5813, 883, 519, 3060, 6808, 602, 8255, 998, 519, 8800, 563, 32507, 14396, 9484, 476, 1724, 267, 476, 1001, 273, 1923, 476, 276, 1315, 476, 276, 630, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2525, 257, 19404, 491, 30536, 257, 543, 1641, 2525, 257, 13200, 369, 31878, 32517, 350, 418, 479, 363, 26266, 354, 31801, 489, 8442, 610, 630, 720, 27045, 2764, 543, 1641, 2525, 257, 18777, 350, 28997, 501, 10951, 374, 257, 2187, 825, 1820, 2891, 418, 479, 511, 417, 500, 506, 8147, 418, 480, 357, 26266, 366, 420, 492, 371, 23523, 501, 16043, 495, 10429, 361, 9463, 372, 7511, 30837, 351, 13644, 499, 10951, 374, 25263, 504, 5405, 479, 5602, 12828, 912, 825, 1820, 2891, 418, 488, 365, 27882, 487, 8147, 418, 480, 357, 10951, 359, 20001, 378, 28996, 30837, 351, 13644, 499, 28884, 418, 365, 480, 8442, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 29443, 4239, 476, 1724, 476, 1321, 281, 3066, 281, 1240, 476, 1001, 278, 692, 287, 10461, 281, 8556, 15249, 454, 20701, 343, 815, 3403, 3488, 8923, 3403, 1535, 281, 5073, 343, 815, 859, 531, 3287, 994, 604, 1535, 283, 271, 610, 1535, 285, 284, 736, 912, 825, 1820, 263, 271, 994, 19197, 476, 271, 27045, 343, 283, 276, 912, 825, 1820, 3287, 994, 19197, 476, 276, 27045, 343, 283, 1015, 912, 825, 1820, 263, 274, 20080, 268, 276, 994, 19197, 476, 1015, 27045, 343, 283, 736, 912, 825, 1820, 263, 271, 269, 276, 20080, 268, 273, 264, 0, 258, 476, 273, 269, 29112, 5284, 371, 9686, 28476, 476, 16021, 7549, 13150, 13833, 9924, 13953, 16044, 482, 3522, 13953, 6459, 630, 4709, 3264, 29824, 22147, 13077, 9261, 9261, 21170, 1070, 11012, 3378, 17153, 13077, 17221, 31224, 11714, 14359, 27671, 14359, 27799, 7549, 17201, 9841, 7549, 3378, 11012, 4344, 4814, 30718, 267, 1477, 258, 11714, 9924, 10528, 17201, 17221, 31224, 10780, 19757, 4736, 10948, 20046, 17095, 17201, 4138, 10948, 3264, 13150, 27593, 11012, 4344, 4814, 30718, 267, 17095, 17201, 4138, 10948, 3264, 13150, 27593, 11012, 6459, 13833, 11714, 17095, 3522, 21833, 9686, 26281, 11012, 4344, 4814, 30718, 3264, 269, 5897, 258, 16044, 482, 7846, 4709, 7549, 30530, 9326, 10780, 23485, 17221, 9261, 3522, 20046, 11012, 4344, 4814, 30718, 7846, 15800, 11714, 5284, 371, 8563, 13077, 13194, 3522, 20046, 24893, 25986, 6459, 3378, 11012, 6459, 13833, 11714, 11012, 4344, 4814, 30718, 3264, 1477, 3698, 1205, 318, 6919, 20311, 18425, 23952, 19304, 8029, 825, 1193, 8217, 815, 1193, 21858, 14052, 825, 2132, 7003, 19304, 8217, 3418, 5897, 325, 26748, 815, 1930, 2891, 1652, 517, 276, 318, 273, 17902, 2580, 1412, 337, 20298, 1598, 19571, 815, 476, 271, 1477, 1721, 1899, 538, 535, 26748, 6769, 825, 1193, 19571, 6834, 476, 272, 1477, 825, 1820, 6600, 257, 567, 11012, 6459, 13833, 11714, 11012, 4344, 4814, 30718, 3264, 2715, 1598, 19571, 348, 2433, 2715, 1326, 318, 6919, 20311, 18425, 23952, 263, 1467, 14587, 14744, 2745, 6600, 257, 13150, 4814, 30718, 11714, 16044, 482, 3522, 13953, 6459, 3264, 2433, 2715, 1598, 19571, 348, 257, 10142, 325, 26748, 25379, 3890, 0, 258, 15800, 16021, 13077, 4344, 18775, 267, 28314, 12811, 21268, 4138, 31589, 19628, 27569, 4138, 13953, 16044, 484, 3264, 6459, 9924, 3264, 24893, 25986, 20977, 267, 21660, 10948, 4138, 20265, 9326, 11012, 27188, 18547, 13194, 31606, 4709, 22147, 3378, 1477, 258, 10780, 23485, 9261, 21268, 11714, 9924, 13194, 13833, 3522, 9226, 20216, 324, 595, 281, 270, 11286, 4932, 270, 13695, 19061, 270, 1652, 517, 275, 318, 8618, 18258, 476, 274, 476, 1015, 1477, 258, 10780, 3522, 13077, 9261, 20046, 4814, 476, 273, 910, 16068, 4344, 17095, 3522, 7549, 22147, 3378, 24893, 25986, 20977, 15800, 16021, 23485, 4814, 13833, 28476, 267, 10780, 3522, 13077, 9261, 20046, 4814, 476, 274, 910, 18194, 3378, 17095, 3522, 7549, 22147, 3378, 24653, 5228, 621, 1068, 8962, 1104, 1293, 1477, 5228, 19523, 1104, 2415, 341, 24653, 27771, 12173, 267, 1101, 20311, 267, 2063, 20311, 815, 2415, 341, 1477, 14140, 20311, 815, 703, 6600, 1009, 20311, 3418, 18431, 20311, 815, 703, 10857, 770, 20311, 10142, 604, 1101, 20311, 10922, 2063, 20311, 6769, 825, 585, 1714, 538, 1293, 6600, 1009, 20311, 8029, 1038, 952, 1714, 3436, 2063, 20311, 6769, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 263, 601, 3418, 12828, 6769, 825, 585, 1714, 538, 1293, 6600, 1009, 20311, 267, 910, 272, 8029, 1038, 952, 1714, 2999, 2063, 20311, 6769, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 263, 601, 10142, 0, 5035, 32672, 531, 16966, 24998, 2187, 825, 8173, 825, 476, 20881, 504, 27747, 372, 7430, 357, 12571, 490, 7430, 502, 11210, 486, 7430, 484, 7430, 360, 12530, 485, 12530, 376, 11210, 379, 28374, 420, 357, 511, 27936, 11210, 496, 27310, 7430, 484, 7430, 490, 18998, 454, 825, 476, 11210, 351, 11210, 363, 11210, 375, 11210, 373, 7430, 499, 11210, 490, 7430, 509, 12530, 511, 11210, 364, 12530, 350, 12530, 481, 11210, 375, 12530, 376, 11210, 372, 11210, 496, 418, 362, 489, 7430, 503, 12530, 485, 12530, 376, 11210, 379, 12530, 485, 11210, 352, 11210, 373, 11210, 363, 12530, 359, 12530, 501, 11210, 379, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2332, 1998, 22561, 267, 2012, 8782, 12534, 262, 2187, 1038, 1582, 22183, 815, 2332, 1998, 454, 1038, 1582, 20508, 815, 2012, 692, 825, 1219, 6449, 1326, 9191, 1345, 267, 1073, 329, 267, 1073, 329, 6943, 2187, 1038, 1820, 3488, 9463, 500, 23523, 501, 281, 3299, 1582, 20508, 994, 1038, 2132, 1582, 22183, 692, 825, 1219, 6449, 3553, 9191, 1345, 267, 1073, 329, 267, 1130, 2187, 1038, 1820, 3488, 418, 505, 368, 13161, 364, 281, 3299, 1582, 20508, 994, 1038, 1582, 22183, 815, 1130, 7531, 5035, 3733, 12218, 24998, 2187, 825, 1535, 815, 32672, 531, 16966, 263, 1015, 267, 1412, 14035, 487, 12255, 834, 343, 257, 5073, 825, 586, 815, 476, 276, 7531, 5035, 9024, 4002, 16966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 737, 20199, 267, 2608, 16911, 267, 2878, 29220, 16911, 2187, 1038, 1582, 269, 9383, 817, 815, 737, 20199, 454, 1038, 1582, 269, 16911, 815, 26571, 454, 1038, 1582, 21993, 342, 16911, 815, 737, 342, 16911, 454, 1038, 1582, 11519, 30976, 1242, 815, 7183, 692, 825, 1219, 6449, 1326, 9191, 1345, 267, 3236, 267, 8227, 2187, 1038, 952, 1582, 11519, 30976, 1242, 568, 7183, 912, 2018, 1820, 3488, 10254, 507, 10951, 509, 25060, 500, 5073, 2018, 1582, 11519, 30976, 1242, 815, 1582, 269, 9383, 817, 28949, 1345, 269, 16911, 267, 2878, 1345, 21993, 342, 16911, 994, 1038, 3116, 912, 2018, 1820, 3488, 11210, 511, 12530, 352, 12530, 481, 11210, 371, 12530, 354, 418, 372, 486, 7430, 379, 256, 5073, 1038, 2132, 1582, 11519, 30976, 1242, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 269, 4586, 763, 7299, 4463, 540, 519, 13409, 568, 4399, 27771, 21653, 476, 16409, 20728, 346, 6515, 18511, 7367, 269, 275, 20728, 346, 6515, 13157, 11152, 269, 277, 20728, 346, 6515, 4151, 563, 13480, 856, 519, 1793, 656, 4463, 1210, 519, 11532, 540, 19456, 23768, 563, 315, 27771, 21653, 1422, 8218, 9387, 265, 2410, 346, 327, 13925, 338, 3686, 3867, 273, 31905, 284, 13997, 263, 2918, 269, 273, 264, 8703, 273, 3686, 266, 13997, 263, 11152, 269, 277, 264, 8703, 273, 3686, 11138, 13997, 327, 13925, 338, 3686, 261, 7807, 6912, 13997, 280, 4510, 278, 269, 275, 3686, 11138, 261, 284, 9032, 269, 866, 1862, 315, 3667, 346, 6515, 4153, 754, 9387, 265, 8679, 2690, 519, 2627, 1858, 540, 519, 13409, 649, 2015, 1152, 519, 2627, 1858, 540, 519, 6821, 602, 1118, 909, 519, 13409, 269, 4399, 27771, 21653, 1422, 6234, 1422, 3667, 346, 13707, 2627, 1858, 476, 4153, 256, 315, 256, 349, 315, 256, 315, 256, 315, 3667, 346, 7684, 7807, 3667, 346, 338, 16577, 1858, 540, 21571, 23180, 3667, 346, 338, 16577, 1858, 540, 13409, 21456, 315, 27771, 21653, 1422, 6234, 1422, 8218, 9387, 265, 4153, 3667, 346, 4811, 288, 31905, 7807, 6234, 1422, 2765, 346, 272, 2410, 273, 12917, 275, 19570, 2715, 346, 337, 8703, 273, 3686, 264, 10954, 7032, 11002, 11138, 261, 7807, 6234, 1422, 2765, 346, 272, 2410, 273, 12917, 275, 19570, 2715, 18950, 2918, 269, 273, 264, 8703, 273, 3686, 264, 10954, 7032, 630, 2918, 269, 273, 7565, 9032, 269, 866, 1862, 9385, 315, 261, 284, 1321, 20728, 346, 476, 27123, 4153, 3667, 346, 269, 3374, 544, 2410, 3189, 3667, 31551, 3686, 3867, 273, 14990, 754, 9387, 265, 8679, 274, 269, 4586, 315, 27771, 21653, 1422, 6234, 1422, 8218, 9387, 265, 4153, 3667, 346, 4811, 288, 31905, 7807, 3667, 346, 19327, 540, 3490, 1341, 1858, 540, 21083, 5011, 27874, 261, 284, 13997, 321, 8703, 273, 3686, 266, 275, 7268, 6234, 1422, 2765, 346, 272, 2410, 273, 348, 321, 13997, 327, 13925, 338, 3686, 9385, 3667, 346, 25452, 346, 327, 13925, 338, 14990, 3667, 346, 568, 519, 1793, 656, 4463, 27874, 261, 284, 321, 6357, 266, 273, 13997, 327, 13925, 338, 3686, 9385, 315, 261, 284, 275, 263, 275, 266, 273, 24206, 476, 280, 9385, 315, 261, 284, 6434, 20728, 346, 4559, 16302, 476, 4153, 754, 9387, 265, 10926, 12988, 547, 11644, 476, 273, 269, 272, 692, 16215, 476, 273, 281, 10495, 692, 272, 269, 4586, 272, 269, 8074, 281, 649, 1590, 1331, 1152, 519, 6534, 7252, 538, 519, 9819, 540, 2627, 1858, 563, 5575, 267, 1265, 4399, 27771, 21653, 1422, 6234, 2715, 346, 327, 13925, 338, 22288, 676, 1210, 519, 11532, 540, 19456, 23768, 563, 7445, 27771, 21653, 476, 2420, 20728, 346, 4699, 18511, 278, 20728, 346, 4699, 13157, 1428, 20728, 346, 4699, 568, 519, 7299, 4463, 540, 519, 18158, 21456, 315, 27771, 21653, 1422, 6234, 1422, 8218, 9387, 265, 2410, 346, 327, 13925, 338, 3686, 3867, 273, 31905, 284, 13997, 1428, 8703, 273, 3686, 266, 13997, 274, 269, 276, 8703, 273, 3686, 11138, 13997, 327, 13925, 338, 3686, 261, 7807, 6912, 346, 3189, 6234, 1422, 2765, 13997, 280, 5392, 12453, 275, 3686, 27874, 261, 7807, 6234, 1422, 2765, 346, 3189, 6912, 13997, 280, 5392, 3686, 12453, 273, 4153, 3667, 346, 4699, 4153, 754, 9387, 265, 8679, 9202, 267, 1265, 519, 2698, 2627, 1858, 563, 7445, 27771, 21653, 1422, 3667, 346, 4811, 288, 18098, 3667, 346, 306, 16577, 1858, 540, 4009, 3490, 18158, 23180, 3667, 346, 338, 16577, 1858, 540, 13306, 21456, 315, 27771, 21653, 1422, 6234, 1422, 8218, 9387, 265, 4153, 3667, 346, 4811, 288, 31905, 284, 275, 7268, 6234, 1422, 2765, 346, 272, 2410, 273, 348, 321, 13997, 327, 13925, 338, 3686, 11924, 314, 13997, 321, 8703, 273, 3686, 266, 275, 321, 327, 316, 11138, 261, 284, 273, 263, 278, 24206, 1422, 6234, 1422, 2765, 346, 3189, 6912, 13997, 280, 5392, 3686, 12453, 273, 348, 11924, 27007, 13997, 278, 8703, 273, 3686, 11924, 275, 263, 278, 264, 278, 316, 11138, 261, 284, 29121, 269, 5038, 20728, 346, 524, 2410, 3189, 3667, 31551, 3686, 3867, 273, 14990, 754, 9387, 265, 8679, 273, 269, 4399, 27771, 21653, 1422, 6234, 1422, 3667, 346, 13707, 4320, 18098, 3667, 346, 14179, 2541, 540, 18158, 23180, 3667, 346, 14179, 2541, 540, 13306, 21456, 315, 27771, 21653, 1422, 8218, 9387, 15857, 309, 261, 7807, 6234, 1422, 2765, 13997, 13997, 321, 8703, 273, 3686, 327, 12453, 274, 15396, 13997, 321, 8703, 274, 3686, 11138, 261, 7807, 6234, 1422, 2765, 13997, 13997, 18950, 278, 264, 3686, 3867, 273, 3686, 263, 1428, 264, 12453, 274, 15396, 13997, 263, 278, 264, 8703, 274, 3686, 11138, 261, 284, 276, 6434, 20728, 346, 524, 2410, 3189, 3667, 31551, 3686, 3867, 274, 14990, 754, 9387, 265, 8679, 273, 269, 4399, 27771, 21653, 1422, 6234, 1422, 3667, 346, 13707, 2627, 1858, 476, 4153, 256, 315, 256, 349, 315, 256, 315, 256, 315, 3667, 346, 7684, 7807, 3667, 346, 338, 16577, 1858, 540, 12106, 23180, 3667, 346, 338, 16577, 1858, 540, 12718, 21456, 315, 27771, 21653, 1422, 8218, 9387, 265, 4153, 3667, 346, 4811, 288, 31905, 284, 275, 19570, 2715, 346, 337, 8703, 273, 3686, 266, 273, 19570, 11002, 11138, 261, 284, 275, 19570, 2715, 18950, 277, 264, 8703, 273, 3686, 266, 273, 19570, 630, 277, 7565, 1556, 9385, 315, 261, 284, 28510, 19570, 8607, 261, 284, 279, 6858, 269, 5400, 20728, 346, 25452, 3189, 3667, 31551, 3686, 3867, 273, 14990, 754, 9387, 265, 8679, 274, 269, 4586, 315, 27771, 21653, 1422, 6234, 1422, 8218, 9387, 265, 4153, 3667, 346, 4811, 288, 31905, 7807, 3667, 346, 19327, 540, 3490, 1341, 1858, 540, 21083, 5011, 27874, 261, 7807, 6234, 1422, 2765, 13997, 274, 25490, 346, 274, 3686, 2410, 273, 2410, 346, 321, 8703, 273, 3686, 266, 277, 13375, 263, 11513, 6234, 1422, 2765, 346, 272, 2410, 273, 348, 321, 24206, 2715, 346, 327, 13925, 338, 3686, 348, 1422, 2431, 9385, 315, 261, 7807, 6234, 1422, 2765, 13997, 274, 25490, 346, 274, 3686, 2410, 273, 2410, 346, 321, 8703, 273, 3686, 266, 274, 321, 24206, 2715, 346, 327, 13925, 338, 3686, 11138, 261, 284, 274, 321, 13375, 263, 11513, 6234, 1422, 2765, 346, 3189, 6912, 346, 274, 3686, 2410, 273, 348, 321, 266, 13997, 327, 13925, 338, 3686, 348, 1422, 2431, 9385, 315, 261, 284, 274, 263, 20862, 264, 7268, 6234, 1422, 2765, 346, 3189, 6912, 346, 274, 3686, 2410, 273, 12917, 20862, 11924, 1220, 9385, 315, 261, 284, 272, 20728, 346, 7684, 12893, 20728, 346, 7684, 280, 1240, 269, 4962, 20728, 346, 544, 2410, 3189, 3667, 31551, 3686, 3867, 273, 14990, 754, 9387, 265, 8679, 563, 9202, 267, 1071, 3200, 689, 4399, 27771, 21653, 1422, 3667, 31551, 2410, 3189, 3667, 31551, 3686, 3867, 273, 22288, 547, 4399, 27771, 21653, 2715, 3189, 3667, 31551, 3686, 3867, 273, 3686, 14204, 315, 27771, 21653, 1422, 6234, 1422, 8218, 9387, 15857, 272, 20728, 346, 25452, 3189, 3667, 31551, 3686, 3867, 273, 3686, 261, 284, 272, 20728, 346, 7684, 1822, 20728, 346, 7684, 1822, 20728, 346, 544, 2410, 3189, 3667, 31551, 3686, 3867, 273, 3686, 11138, 272, 20728, 346, 7684, 12893, 20728, 346, 7684, 280, 1240, 269, 4962, 20728, 346, 544, 2410, 3189, 3667, 31551, 3686, 3867, 273, 3686, 261, 284, 272, 269, 12893, 1862, 315, 3667, 346, 25452, 3189, 3667, 31551, 3686, 3867, 273, 14990, 754, 9387, 265, 8679, 563, 315, 27771, 21653, 1422, 8218, 9387, 265, 4153, 3667, 346, 13707, 1942, 31905, 284, 1911, 24585, 476, 272, 26142, 3667, 346, 7684, 12893, 1862, 11138, 261, 7807, 3667, 23334, 348, 9340, 269, 6795, 17910, 9387, 265, 10926, 12988, 547, 5149, 476, 273, 281, 10495, 0, 258, 630, 293, 2562, 23360, 3633, 264, 3657, 596, 519, 7991, 9457, 332, 785, 543, 666, 11523, 519, 3009, 2496, 1892, 24762, 281, 476, 276, 267, 4649, 272, 8111, 28588, 454, 539, 1243, 4873, 476, 1001, 280, 454, 7069, 3803, 2626, 568, 476, 25628, 269, 1109, 589, 1360, 9157, 4161, 2949, 543, 3833, 513, 2647, 3099, 540, 4267, 269, 1109, 594, 1185, 547, 1689, 513, 1906, 4267, 1759, 2390, 8691, 2348, 9551, 775, 936, 1840, 543, 12408, 269, 1109, 2561, 3285, 622, 519, 12576, 676, 930, 540, 519, 5716, 1934, 269, 9462, 502, 488, 692, 257, 15919, 519, 10545, 1919, 1491, 909, 519, 1034, 4055, 538, 707, 2295, 1701, 910, 654, 4883, 773, 519, 7313, 2129, 692, 6826, 2386, 547, 2097, 2638, 856, 519, 1109, 1109, 24375, 1676, 781, 4856, 1676, 30548, 3643, 519, 561, 1735, 613, 1858, 9462, 496, 499, 6930, 496, 499, 454, 2252, 596, 616, 1007, 547, 519, 2146, 5225, 2638, 1934, 585, 5363, 9623, 281, 1109, 9596, 811, 827, 519, 3751, 7991, 692, 6930, 493, 484, 12736, 707, 12600, 15443, 344, 9197, 2313, 14886, 2997, 20345, 1934, 9462, 491, 496, 454, 6440, 454, 1892, 24762, 281, 476, 14444, 5426, 476, 274, 454, 539, 1243, 4873, 476, 1001, 280, 454, 7069, 3803, 2626, 568, 476, 274, 4281, 269, 1109, 589, 1360, 9157, 4161, 2949, 543, 3833, 513, 2647, 3099, 540, 4267, 269, 1109, 1924, 2484, 5654, 899, 1175, 596, 543, 803, 7711, 332, 1513, 13062, 2313, 8181, 585, 938, 2626, 269, 9462, 502, 488, 692, 2004, 910, 476, 276, 2473, 476, 273, 815, 476, 1789, 454, 2691, 6061, 513, 1966, 267, 8691, 543, 6498, 2141, 1491, 9551, 775, 936, 1840, 543, 12408, 780, 1410, 2020, 277, 1341, 476, 1015, 2473, 476, 273, 1341, 476, 1015, 1315, 476, 273, 1341, 476, 274, 815, 476, 4097, 692, 263, 277, 1341, 1015, 264, 1535, 476, 273, 1341, 476, 1015, 1315, 476, 273, 1341, 476, 274, 815, 476, 2412, 692, 277, 1341, 476, 1015, 1535, 476, 273, 1341, 476, 1015, 1315, 630, 273, 1341, 476, 274, 264, 815, 476, 2764, 692, 277, 1341, 476, 1015, 1535, 630, 273, 1341, 476, 1015, 264, 1315, 476, 273, 1341, 476, 274, 815, 476, 7597, 692, 277, 1341, 476, 1015, 1535, 630, 273, 1341, 476, 1015, 264, 1315, 630, 273, 1341, 476, 274, 264, 815, 476, 1789, 692, 263, 277, 1341, 476, 1015, 264, 1535, 630, 273, 1341, 476, 1015, 264, 1315, 630, 273, 1341, 476, 272, 264, 815, 476, 5038, 692, 810, 267, 3803, 2626, 568, 476, 22332, 692, 6440, 454, 1892, 24762, 281, 476, 273, 267, 271, 4375, 10794, 16869, 454, 4391, 278, 568, 1250, 2626, 454, 24679, 568, 711, 3020, 602, 1004, 3247, 13197, 9909, 1317, 789, 1332, 2025, 267, 789, 1332, 2025, 1317, 789, 3247, 13197, 9909, 1701, 910, 1109, 294, 629, 21119, 25661, 17144, 631, 5451, 337, 4302, 345, 692, 6440, 454, 1892, 24762, 281, 476, 1428, 267, 279, 7597, 8111, 28588, 454, 539, 1243, 4873, 476, 1001, 280, 454, 17098, 7711, 290, 571, 5414, 9697, 28247, 3371, 779, 1250, 2698, 543, 15059, 2433, 24488, 289, 564, 1399, 630, 476, 2420, 3738, 2349, 1601, 558, 2349, 770, 630, 476, 1240, 3738, 32686, 1076, 310, 3558, 630, 476, 2764, 3738, 15443, 344, 9197, 2313, 590, 15676, 630, 476, 1704, 3738, 595, 5425, 18649, 630, 476, 1556, 1109, 264, 16671, 297, 749, 569, 630, 476, 1839, 3738, 16671, 293, 12188, 630, 476, 2764, 3738, 30250, 630, 476, 1789, 264, 674, 295, 630, 476, 866, 3738, 14466, 320, 303, 792, 630, 476, 736, 3738, 8891, 4910, 26443, 590, 15676, 630, 476, 2420, 3738, 11553, 303, 630, 476, 1839, 3738, 30958, 3752, 7534, 790, 630, 476, 2641, 3738, 1744, 28984, 19949, 630, 476, 1789, 3738, 782, 1927, 2433, 476, 22332, 692, 1012, 28787, 707, 1377, 476, 1220, 271, 24182, 3983, 613, 543, 10726, 25386, 3240, 560, 344, 6060, 1109, 295, 16730, 256, 9462, 491, 493, 692, 6930, 493, 484, 12736, 707, 12600, 15443, 344, 9197, 2313, 14886, 2997, 20345, 1109, 2080, 1109, 6930, 491, 496, 692, 414, 511, 494, 20804, 6826, 520, 938, 8111, 560, 1513, 1299, 1205, 1863, 5818, 619, 1109, 2080, 414, 511, 494, 20804, 692, 6930, 495, 357, 587, 491, 6930, 492, 357, 6435, 938, 5426, 5071, 619, 1109, 2080, 1109, 6930, 492, 357, 1109, 13425, 856, 938, 1627, 26031, 1109, 1877, 692, 6930, 495, 487, 1109, 6717, 297, 306, 910, 7108, 13063, 1109, 1877, 1109, 6930, 491, 511, 454, 6440, 454, 1892, 24762, 281, 476, 1015, 267, 6795, 278, 8111, 28588, 454, 300, 1149, 476, 4391, 278, 855, 609, 519, 7648, 540, 621, 782, 267, 594, 1589, 594, 993, 1259, 1055, 561, 565, 692, 2791, 666, 1265, 856, 811, 827, 938, 8111, 560, 1513, 1934, 692, 8923, 2285, 721, 606, 3398, 782, 2729, 7735, 256, 966, 1774, 1934, 692, 293, 1301, 12325, 13982, 1793, 11691 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3963, 5749, 1406, 811, 11916, 2558, 10118, 1210, 11154, 633, 5071, 338, 888, 2252, 13261, 6272, 666, 3142, 2178, 5383, 547, 4791, 8062, 267, 1287, 1946, 1281, 741, 10073, 2611, 1970, 888, 32747, 8062, 3335, 1246, 513, 6378, 1374, 267, 1141, 519, 7014, 568, 3964, 1354, 519, 1353, 5956, 543, 568, 9709, 547, 2611, 24240, 2429, 519, 4693, 269, 11154, 633, 6272, 267, 593, 519, 824, 1688, 267, 616, 9709, 547, 1450, 585, 12381, 1759, 593, 7213, 6819, 1239, 267, 7175, 3173, 547, 1118, 1483, 6066, 11941, 547, 11126, 4693, 4093, 269, 1452, 14624, 666, 1331, 2242, 538, 3732, 2450, 267, 2126, 7916, 267, 3461, 14305, 267, 543, 8579, 2409, 563, 3849, 28922, 6272, 2709, 1896, 5383, 936, 2757, 6378, 1374, 8062, 269, 2290, 540, 519, 1034, 1713, 5383, 568, 602, 789, 666, 2333, 519, 4398, 540, 519, 4693, 676, 4227, 519, 4397, 1297, 540, 2550, 2838, 547, 3035, 513, 1978, 1377, 540, 8856, 269, 901, 666, 948, 2569, 519, 3328, 1942, 543, 942, 2838, 547, 2932, 513, 4693, 269, 6736, 891, 2640, 267, 2705, 267, 519, 10073, 540, 13261, 6272, 3788, 5266, 1970, 269, 11153, 1883, 2188, 3565, 547, 713, 3510, 563, 8368, 540, 12937, 454, 4910, 2700, 547, 7827, 1299, 19768, 540, 19361, 640, 454, 4910, 2700, 547, 1689, 568, 513, 1455, 11064, 538, 1082, 6080, 267, 1519, 1272, 9443, 269, 634, 10073, 540, 13261, 6272, 4564, 513, 1713, 6521, 538, 519, 1935, 547, 4791, 8062, 269, 12824, 267, 19353, 267, 543, 1866, 949, 581, 11259, 547, 1689, 1813, 547, 519, 4250, 540, 519, 7164, 267, 4145, 827, 519, 14496, 540, 13261, 6272, 267, 610, 519, 9228, 17522, 547, 3964, 32262, 563, 763, 3668, 540, 23440, 543, 1620, 1851, 3173, 267, 19353, 267, 543, 9431, 4703, 949, 849, 581, 513, 3815, 585, 1970, 10073, 269, 12465, 6378, 6272, 723, 1044, 519, 3044, 585, 1082, 1296, 543, 28006, 547, 13261, 6272, 3340, 513, 3102, 1620, 540, 519, 3741, 267, 2409, 267, 543, 1761, 2640, 269, 1879, 4058, 513, 1007, 4791, 4693, 267, 1346, 3238, 949, 1265, 519, 5432, 811, 4313, 532, 543, 849, 811, 3608, 267, 607, 2921, 942, 585, 2069, 593, 13261, 6272, 1282, 519, 4058, 5123, 949, 8831, 713, 6712, 540, 4693, 1374, 563, 763, 9431, 5251, 4478, 13261, 6272, 568, 1419, 2938, 607, 1950, 543, 7334, 269, 27943, 8041, 267, 971, 607, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 1070, 723, 3177, 5583, 593, 13261, 6272, 267, 855, 891, 7840, 949, 581, 9228, 607, 22394, 610, 1930, 547, 7664, 269, 5015, 267, 972, 949, 581, 8320, 1141, 1256, 4693, 6272, 602, 1246, 519, 5583, 949, 711, 581, 9516, 676, 22124, 1813, 547, 1808, 3344, 540, 519, 2068, 1858, 267, 2126, 267, 610, 2689, 518, 4145, 269, 901, 13509, 5932, 513, 2631, 540, 11688, 2787, 1851, 3173, 543, 13384, 832, 267, 3056, 547, 513, 15061, 1935, 547, 4693, 1374, 563, 23330, 1049, 543, 8298, 6750, 12694, 454, 25363, 13586, 13261, 6272, 666, 6338, 10512, 543, 2845, 6750, 2591, 269, 634, 2702, 547, 2445, 267, 5659, 543, 4612, 1239, 538, 1483, 6066, 267, 952, 2556, 267, 3340, 3608, 5989, 267, 4359, 8579, 2409, 543, 6131, 2200, 269, 11154, 633, 1374, 4693, 10873, 949, 1491, 3476, 547, 1544, 543, 2328, 538, 1931, 547, 2272, 585, 782, 2009, 2242, 610, 4093, 267, 610, 789, 949, 2154, 10311, 1282, 519, 4693, 269, 3509, 4791, 4693, 4609, 543, 5238, 949, 711, 4865, 519, 2556, 5989, 610, 6791, 547, 1489, 13261, 6272, 3927, 563, 3849, 28922, 6272, 666, 581, 2404, 609, 2362, 909, 1922, 3224, 3790, 3379, 547, 2757, 6378, 6272, 269, 634, 991, 585, 1483, 6066, 5464, 267, 954, 574, 9382, 267, 543, 14624, 4679, 519, 6988, 543, 2200, 2838, 585, 4693, 11056, 269, 2755, 13261, 8062, 949, 2569, 1279, 3856, 3790, 676, 2110, 2287, 8062, 610, 5355, 4398, 267, 13384, 832, 543, 7616, 8041, 949, 581, 26997, 547, 1902, 538, 13261, 6272, 1510, 513, 2312, 1620, 540, 519, 1761, 2132, 593, 5092, 563, 25363, 13586, 13261, 6272, 19329, 513, 1164, 1377, 540, 8579, 543, 27696, 6791, 269, 1717, 267, 972, 568, 513, 3908, 7535, 540, 4648, 609, 519, 2556, 1983, 543, 1995, 538, 713, 7463, 1858, 547, 13599, 13384, 832, 543, 948, 873, 2936, 891, 6272, 269, 634, 20317, 540, 4966, 543, 29801, 945, 666, 3391, 3173, 543, 13384, 832, 998, 519, 1184, 540, 13261, 4693, 1374, 13514, 513, 4161, 563, 4467, 14658, 18926, 6396, 1108, 454, 3849, 28922, 6272, 949, 7048, 593, 811, 7294, 610, 14542, 8579, 16097, 267, 971, 607, 18615, 2079, 267, 28662, 4485, 267, 543, 3732, 2450, 556, 10140, 574, 725, 269, 634, 3498, 543, 7664, 540, 891, 2553, 2154, 513, 9488, 1620, 540, 519, 4143, 8579, 3069, 543, 12191, 269, 634, 6988, 540, 891, 2409, 666, 957, 607, 513, 15658, 1370, 585, 3173, 945, 949, 711, 723, 513, 2178, 8579, 4282, 563, 20685, 673, 9270, 616, 14063, 538, 4791, 8062, 269, 634, 6422, 2470, 540, 13261, 6272, 267, 609, 519, 1761, 585, 4571, 2389, 7434, 12381, 267, 12651, 5683, 4145, 269, 12824, 1590, 5402, 3666, 519, 991, 585, 12905, 11941, 609, 519, 4027, 540, 16045, 2924, 543, 10304, 269, 634, 5683, 2640, 540, 13261, 6272, 267, 971, 607, 4227, 519, 1297, 540, 5396, 6534, 547, 13385, 569, 3759, 20160, 5574, 267, 1590, 581, 26693, 1996, 1022, 5683, 10848, 3823, 875, 13261, 6272, 949, 1764, 2035, 971, 607, 5483, 9844, 610, 4791, 16491, 18857, 269, 634, 5683, 6286, 540, 13261, 6272, 2154, 6297, 2689, 267, 799, 666, 1039, 3606, 6988, 267, 17799, 267, 543, 3790, 547, 519, 4693, 1184, 563, 21918, 1243, 12752, 8081, 543, 13832, 454, 763, 3668, 540, 3102, 2872, 1489, 543, 2312, 4808, 585, 7598, 13261, 6272, 568, 1776, 21677, 269, 14997, 11914, 3549, 267, 4579, 1382, 3906, 630, 290, 4629, 338, 264, 543, 824, 8639, 1404, 513, 1713, 1909, 538, 5935, 519, 5251, 540, 4791, 8062, 269, 634, 1646, 540, 13387, 10873, 267, 1655, 2853, 267, 543, 2013, 2090, 666, 1683, 3407, 4030, 543, 6536, 6015, 538, 13261, 6272, 563, 11900, 11211, 9751, 267, 4065, 1299, 17607, 454, 763, 2069, 543, 2866, 540, 3173, 267, 19353, 267, 543, 18802, 2103, 3823, 13261, 6272, 616, 1898, 585, 2810, 10073, 269, 30459, 13261, 1374, 2035, 883, 4081, 21195, 267, 3246, 11925, 267, 543, 5356, 2228, 6030, 666, 3986, 519, 1702, 543, 1983, 2838, 547, 2936, 13261, 6272, 3927, 269, 23549, 267, 19014, 267, 543, 3621, 15473, 991, 547, 3136, 10223, 3811, 30582, 267, 2013, 2090, 267, 543, 1483, 8996, 1806, 547, 13686, 519, 2640, 540, 13261, 6272, 543, 5000, 741, 9962, 946, 563, 24292, 543, 10721, 7496, 666, 15641, 324, 519, 10073, 540, 13261, 6272, 269, 28762, 1105, 673, 3889, 267, 4187, 547, 1689, 543, 1981, 8584, 2091, 4529, 1369, 3782, 5238, 543, 1382, 3906, 666, 17225, 519, 3408, 543, 6388, 540, 5499, 4693, 6272, 269, 634, 1981, 8584, 2091, 14820, 11342, 538, 4791, 1382, 666, 849, 15658, 519, 946, 540, 13261, 6272, 269, 12824, 543, 13384, 832, 949, 581, 11688, 26938, 547, 1821, 5573, 689, 3964, 16097, 543, 1491, 7229, 4220, 267, 4250, 532, 1761, 2942, 4093, 269, 28304, 519, 1981, 8584, 2091, 14820, 3340, 513, 6521, 538, 5133, 543, 513, 18515, 547, 9784, 3209, 4485, 563, 1432, 3268, 666, 581, 3144, 547, 3895, 519, 10073, 540, 13261, 6272, 888, 8601, 741, 5383, 267, 543, 1317, 540, 519, 7687, 543, 2591, 4330, 1657, 267, 519, 946, 540, 13261, 6272, 538, 4791, 8062, 3788, 1970, 269, 12989, 616, 930, 3268, 602, 666, 581, 3144, 547, 5000, 811, 13384, 832, 543, 3173, 547, 2015, 13261, 6272, 563, 268, 4065, 3292, 585, 13384, 832, 267, 3173, 543, 9431, 8041, 281, 23207, 4656, 543, 1620, 540, 519, 2640, 540, 13261, 6272, 543, 875, 547, 5265, 2936, 873, 666, 2569, 519, 10462, 543, 14542, 640, 827, 13261, 6272, 543, 741, 1909, 538, 9431, 13170, 563, 268, 16842, 5698, 1063, 3173, 543, 18802, 2103, 281, 1635, 5473, 18802, 2103, 2038, 538, 519, 4791, 4693, 1646, 1184, 543, 23712, 693, 1142, 1900, 267, 3173, 666, 2327, 519, 3617, 8579, 2409, 616, 1373, 1031, 547, 5659, 519, 1239, 689, 13261, 8062, 563, 268, 2859, 1489, 689, 7616, 8041, 281, 2859, 538, 30030, 1590, 581, 1500, 547, 7616, 2959, 585, 4791, 8062, 538, 1931, 547, 948, 873, 5431, 519, 1761, 2640, 543, 1871, 540, 13261, 8062, 543, 875, 891, 6272, 666, 3666, 2009, 4679, 538, 909, 12506, 3790, 609, 1279, 3856, 9806, 563, 268, 20837, 20040, 4808, 689, 9431, 8041, 281, 3204, 22399, 666, 1404, 606, 1271, 1909, 538, 5009, 519, 946, 540, 13261, 6272, 269, 1635, 2324, 2509, 2870, 513, 811, 8465, 543, 29765, 1184, 267, 9431, 8041, 666, 1118, 621, 4443, 585, 3173, 547, 1205, 741, 8062, 909, 543, 4881, 563, 268, 12752, 2923, 4687, 1702, 281, 12752, 17476, 267, 19014, 267, 543, 4123, 2982, 666, 5818, 519, 4687, 540, 1702, 543, 13319, 540, 13261, 6272, 269, 30404, 543, 3811, 13261, 6272, 666, 581, 12006, 609, 9488, 4901, 540, 1312, 741, 6388, 607, 1134, 607, 741, 2640, 563, 4415, 519, 1318, 1935, 543, 1489, 267, 13261, 1374, 8062, 666, 1831, 811, 4922, 1031, 543, 6080, 10283, 538, 4791, 8062, 666, 811, 11593, 1569, 741, 2640, 269, 0, 763, 2923, 814, 1500, 721, 13533, 540, 8733, 2152, 899, 513, 5001, 2837, 27327, 267, 17645, 31362, 6219, 17579, 525, 267, 2011, 12526, 267, 543, 513, 2603, 811, 2152, 7282, 938, 3339, 7221, 269, 1284, 5873, 971, 513, 5458, 2179, 827, 556, 6748, 543, 4742, 13476, 7874, 269, 634, 1007, 5647, 538, 8279, 814, 513, 3210, 547, 13302, 891, 4541, 3620, 9879, 2152, 269, 3220, 1508, 8279, 11338, 723, 519, 3070, 547, 875, 547, 3142, 1524, 707, 3167, 3915, 269, 1284, 1058, 8495, 513, 6712, 540, 519, 3551, 19178, 563, 763, 3355, 338, 667, 17311, 2099, 1769, 32338, 908, 1019, 3941, 269, 634, 5647, 267, 13120, 267, 543, 5137, 540, 3220, 1508, 8279, 723, 1631, 1500, 873, 513, 10257, 267, 6666, 9494, 4781, 538, 4334, 547, 22232, 13085, 8654, 269, 634, 8766, 6505, 1769, 15941, 814, 4465, 519, 12271, 540, 3875, 20251, 25963, 593, 2272, 540, 922, 1648, 7607, 269, 901, 568, 519, 6335, 532, 13937, 13749, 31786, 1769, 602, 1058, 581, 7298, 538, 1082, 5321, 2221, 269, 1325, 18464, 713, 1007, 15061, 6505, 1769, 15941, 1459, 1082, 2640, 267, 519, 667, 17311, 15620, 2484, 856, 704, 845, 1312, 519, 13085, 15941, 543, 519, 8766, 6505, 1769, 15941, 538, 3875, 5049, 563, 763, 6093, 1272, 19104, 540, 513, 667, 17311, 15941, 568, 476, 2004, 267, 1822, 3108, 4334, 539, 609, 519, 31965, 6505, 1769, 15941, 693, 476, 279, 267, 1822, 3108, 543, 519, 13085, 2501, 538, 2063, 693, 476, 272, 267, 1220, 3108, 269, 634, 1360, 942, 18134, 602, 621, 3217, 513, 476, 2568, 26910, 30437, 15941, 547, 8415, 476, 2568, 26334, 267, 519, 595, 14566, 630, 20791, 518, 6505, 1769, 15941, 264, 786, 8415, 476, 1724, 268, 1428, 26334, 267, 543, 519, 667, 17311, 786, 8415, 476, 277, 268, 279, 26334, 269, 769, 2070, 540, 3339, 13345, 540, 476, 1789, 8279, 540, 476, 2568, 26910, 4222, 267, 519, 2324, 9276, 585, 1142, 2186, 540, 15941, 1131, 581, 281, 13085, 15620, 1107, 1269, 29044, 269, 6795, 270, 20204, 267, 595, 14566, 15620, 1107, 1269, 10602, 269, 4792, 270, 20204, 267, 543, 667, 17311, 15620, 1107, 1269, 3953, 269, 5952, 270, 20204, 269, 634, 15395, 7482, 609, 667, 17311, 8654, 616, 1713, 563, 1432, 1522, 581, 1767, 827, 519, 8733, 1198, 540, 1142, 2186, 8654, 286, 769, 1769, 540, 519, 6093, 13345, 540, 476, 1789, 15620, 267, 519, 30437, 15620, 10237, 919, 476, 14596, 271, 6550, 540, 3327, 8166, 32338, 725, 1169, 1032, 269, 634, 595, 14566, 8654, 10237, 919, 513, 3648, 2539, 476, 10755, 272, 6550, 1142, 1032, 269, 634, 667, 17311, 10237, 919, 1175, 476, 26493, 6550, 1142, 1032, 269, 901, 568, 593, 519, 12406, 602, 519, 667, 17311, 15620, 1810, 1406, 3636, 909, 899, 519, 13085, 543, 595, 14566, 15620, 269, 634, 8515, 7472, 1648, 13345, 799, 17579, 525, 3327, 8166, 267, 16247, 12547, 267, 543, 10570, 3653, 883, 519, 1604, 269, 3958, 519, 667, 17311, 543, 32689, 8654, 2270, 1100, 16035, 610, 930, 824, 5739, 6219, 269, 634, 595, 14566, 15620, 5963, 798, 2270, 2157, 540, 16035, 799, 568, 5393, 5739, 547, 707, 8171, 543, 519, 2916, 563, 8448, 1713, 19178, 602, 538, 782, 4890, 640, 798, 3310, 513, 5686, 540, 8279, 616, 513, 11437, 547, 2837, 543, 5848, 1145, 269, 634, 595, 14566 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1899, 8429, 998, 519, 1079, 10974, 269, 0, 258, 594, 1810, 1405, 1174, 519, 2013, 692, 1012, 6301, 7726, 610, 17564, 8672, 692, 11693, 586, 262, 1341, 32318, 815, 575, 3287, 264, 1141, 586, 263, 271, 264, 815, 322, 2676, 10193, 575, 3287, 264, 815, 575, 272, 267, 476, 271, 27045, 343, 27045, 1535, 334, 454, 326, 3287, 264, 815, 575, 273, 267, 1535, 334, 283, 343, 283, 20581, 692, 1721, 2013, 1535, 285, 343, 334, 454, 19009, 454, 344, 815, 552, 28260, 1314, 2271, 263, 271, 15010, 311, 334, 264, 346, 314, 324, 317, 320, 311, 272, 316, 326, 11583, 272, 14587, 546, 311, 272, 1341, 552, 28260, 1314, 2271, 3287, 334, 15010, 343, 264, 1496, 324, 317, 320, 311, 272, 316, 575, 3287, 272, 264, 15848, 272, 692, 296, 1810, 1405, 917, 1946, 950, 1608, 4954, 520, 2426, 519, 2013, 585, 1535, 285, 311, 334, 594, 723, 547, 2015, 519, 3955, 326, 1674, 689, 476, 271, 547, 2473, 334, 2901, 286, 2052, 4896, 2995, 803, 519, 2626, 2496, 16665, 27018, 12307, 5240, 593, 4284, 3820, 454, 331, 584, 4148, 584, 325, 454, 29094, 4477, 704, 454, 7474, 1058, 581, 454, 2330, 344, 284, 322, 266, 324, 13064, 320, 1535, 4153, 842, 318, 271, 3867, 343, 318, 271, 348, 552, 3867, 320, 512, 348, 326, 318, 272, 6025, 264, 19049, 266, 324, 13064, 320, 1535, 4153, 842, 3709, 343, 318, 271, 8703, 343, 348, 552, 3867, 320, 512, 348, 326, 318, 273, 6025, 264, 19049, 16465, 3602, 512, 568, 1031, 3079, 540, 1535, 272, 607, 546, 16244, 4756, 454, 1492, 3063, 7533, 568, 1031, 547, 1202, 675, 602, 519, 3355, 2783, 568, 2743, 543, 519, 1599, 568, 6024, 563, 514, 824, 1913, 952, 586, 568, 3989, 454, 344, 284, 344, 272, 476, 271, 283, 343, 283, 343, 272, 454, 344, 284, 344, 273, 1535, 272, 283, 343, 454, 1721, 15364, 649, 2154, 586, 272, 3287, 272, 6661, 344, 273, 3287, 272, 994, 604, 649, 522, 2466, 519, 1101, 7533, 519, 1599, 4465, 1405, 6474, 909, 563, 303, 770, 1535, 271, 649, 1590, 1376, 1141, 649, 2451, 1055, 780, 331, 584, 4148, 584, 325, 1767, 912, 7474, 1058, 581, 454, 2330, 344, 284, 322, 266, 324, 13064, 320, 1535, 4153, 842, 318, 271, 3867, 343, 318, 271, 348, 552, 3867, 320, 512, 348, 326, 318, 272, 6025, 264, 19049, 266, 324, 13064, 320, 1535, 4153, 842, 3709, 343, 318, 271, 8703, 343, 348, 552, 3867, 320, 512, 348, 326, 318, 273, 6025, 264, 19049, 16465, 3602, 512, 568, 1031, 3079, 540, 1535, 272, 607, 546, 16244, 4756, 454, 1492, 3063, 7533, 568, 1031, 547, 1202, 675, 602, 519, 3355, 2783, 568, 2743, 543, 519, 1599, 568, 6024, 563, 514, 824, 1913, 952, 586, 568, 3989, 454, 344, 284, 344, 272, 476, 271, 283, 343, 283, 343, 272, 454, 344, 284, 344, 273, 1535, 272, 283, 343, 454, 1721, 15364, 649, 2154, 586, 272, 3287, 272, 6661, 344, 273, 3287, 272, 994, 604, 649, 522, 2466, 519, 1101, 7533, 519, 1599, 4465, 1405, 6474, 909, 563, 303, 770, 1535, 271, 649, 1590, 1376, 1141, 649, 2451, 1055, 780, 12552, 585, 707, 948, 256, 1809, 835, 811, 2243, 568, 2433, 1018, 4523, 952, 519, 1599, 568, 711, 6024, 267, 849, 1946, 649, 1590, 1118, 2386, 519, 1599, 1058, 581, 6024, 286, 2496, 331, 584, 4148, 584, 325, 454, 29094, 4477, 704, 454, 344, 4157, 920, 600, 1767, 912, 12552, 585, 707, 948, 256, 1809, 835, 811, 2243, 568, 2433, 1018, 4523, 952, 519, 1599, 568, 711, 6024, 267, 849, 1946, 649, 1590, 1118, 2386, 519, 1599, 1058, 581, 6024, 286, 888, 763, 1599, 568, 6024, 1141, 519, 11186, 3830, 6585, 267, 1317, 519, 11186, 3830, 10522, 1114, 6636, 799, 10522, 15364, 269, 853, 2774, 569, 6340, 513, 11186, 3830, 1058, 581, 2016, 2059, 609, 513, 6389, 540, 31675, 269, 769, 713, 2013, 621, 694, 4461, 519, 22466, 6389, 568, 1535, 27045, 271, 1141, 585, 1535, 284, 271, 621, 568, 3020, 538, 513, 1318, 1688, 3970, 2631, 269, 1280, 1383, 835, 1223, 4194, 713, 11186, 3830, 454, 343, 265, 344, 262, 284, 344, 1535, 256, 284, 271, 454, 344, 8987, 343, 6661, 344, 3287, 994, 1492, 3070, 540, 799, 1373, 454, 344, 284, 347, 343, 2008, 528, 519, 3830, 454, 344, 262, 284, 344, 1535, 256, 284, 271, 586, 263, 271, 268, 6661, 268, 272, 586, 263, 271, 266, 6661, 272, 454, 1492, 3070, 1373, 454, 344, 15871, 10339, 3287, 264, 1535, 283, 271, 454, 344, 284, 10339, 3287, 264, 1535, 285, 271, 454, 28205, 616, 588, 1052, 1806, 2356, 835, 26770, 519, 3070, 547, 581, 6024, 543, 1114, 4192, 692, 15680, 1399, 27594, 454, 29094, 4477, 704, 454, 11039, 16921, 594, 4312, 1044, 2542, 1318, 2059, 543, 723, 3144, 519, 8373, 547, 960, 998, 1079, 1806, 267, 835, 6024, 543, 519, 824, 19944, 6681, 269, 901, 568, 1018, 594, 1336, 1384, 19111, 476, 272, 281, 575, 3287, 264, 568, 6024, 693, 1535, 284, 274, 1384, 2330, 344, 3867, 262, 15396, 344, 284, 326, 3287, 5148, 315, 15153, 586, 263, 271, 6661, 272, 9681, 2330, 326, 3287, 21174, 3847, 315, 3189, 8218, 15204, 2410, 764, 26507, 267, 261, 315, 3387, 2135, 346, 585, 7684, 271, 315, 19008, 1535, 315, 19008, 476, 274, 8607, 1422, 2765, 12757, 317, 273, 2410, 274, 9574, 261, 315, 3387, 2135, 346, 585, 7684, 343, 285, 274, 1422, 754, 15204, 4153, 2431, 9681, 306, 6295, 267, 649, 3489, 1384, 2330, 344, 3287, 21174, 3847, 315, 3189, 8218, 15204, 2410, 764, 348, 273, 324, 13064, 343, 15396, 343, 268, 272, 1299, 315, 3387, 2135, 346, 585, 7684, 271, 315, 19008, 1535, 315, 19008, 476, 274, 8607, 552, 13064, 343, 12917, 273, 324, 317, 274, 266, 273, 11924, 272, 270, 274, 263, 273, 268, 273, 343, 21147, 317, 273, 9984, 276, 270, 274, 552, 3867, 274, 14870, 9574, 261, 315, 3387, 2135, 346, 585, 7684, 343, 285, 274, 1422, 754, 15204, 4153, 2431, 9681, 1607, 3070, 568, 3254, 538, 519, 1101, 4729, 269, 8074, 602, 621, 568, 6024, 693, 1535, 284, 274, 855, 849, 1114, 4192, 693, 1535, 284, 274, 2094, 519, 16755, 616, 3160, 972, 585, 1312, 3252, 780, 19111, 476, 273, 281, 575, 3287, 264, 568, 19944, 6681, 693, 1535, 284, 272, 1384, 2330, 344, 3867, 262, 15396, 344, 284, 326, 3287, 5148, 315, 15153, 586, 263, 271, 6661, 272, 9681, 2330, 326, 3287, 21174, 3847, 315, 3189, 8218, 15204, 2410, 764, 26507, 267, 261, 315, 3387, 2135, 346, 585, 7684, 271, 315, 19008, 1535, 315, 19008, 476, 272, 8607, 1535, 317, 273, 268, 273, 343, 266, 275, 267, 261, 315, 3387, 2135, 346, 585, 7684, 343, 285, 272, 1422, 754, 15204, 4153, 2431, 9681, 306, 6295, 1384, 2330, 344, 3287, 21174, 3847, 315, 3189, 8218, 15204, 2410, 764, 348, 273, 324, 13064, 343, 15396, 343, 268, 272, 267, 261, 315, 3387, 2135, 346, 585, 7684, 271, 315, 19008, 1535, 315, 19008, 476, 272, 8607, 476, 273, 324, 13064, 343, 15396, 279, 268, 275, 343, 21147, 317, 273, 268, 276, 324, 3867, 272, 14870, 9574, 261, 315, 3387, 2135, 346, 585, 7684, 343, 285, 272, 1422, 754, 15204, 4153, 2431, 9681, 1607, 3070, 568, 3254, 538, 519, 2034, 4729, 269, 898, 568, 6024, 693, 1535, 284, 272, 855, 519, 12045, 1281, 711, 2291, 972, 2094, 519, 16755, 540, 519, 1079, 4082, 585, 586, 616, 711, 3160, 972, 780, 3383, 1547, 1547, 1547, 568, 713, 2141, 519, 2013, 2496, 2971, 5900, 778, 906, 692, 1892, 476, 275, 269, 272, 22995, 14358, 281, 476, 26326, 454, 1892, 476, 275, 269, 273, 22995, 14358, 281, 476, 3374, 280, 454, 8310, 12995, 912, 331, 584, 4148, 584, 325, 454, 29094, 4477, 704, 454, 15680, 1399, 27594, 1767, 912, 1607, 3070, 568, 3254, 538, 519, 2034, 4729, 269, 898, 568, 6024, 693, 1535, 284, 272, 855, 519, 12045, 1281, 711, 2291, 972, 2094, 519, 16755, 540, 519, 1079, 4082, 585, 586, 616, 711, 3160, 972, 780, 3383, 1547, 1547, 1547, 568, 713, 2141, 519, 2013, 888, 763, 3070, 666, 581, 2854, 607, 606, 7533, 5473, 519, 16550, 2165, 575, 3287, 1040, 4935, 586, 786, 723, 476, 272, 811, 1377, 540, 1159, 1054, 1145, 982, 575, 3287, 1070, 2094, 5610, 568, 513, 1159, 5847, 5106, 269, 1280, 1383, 952, 575, 3287, 264, 568, 4062, 3772, 6024, 586, 568, 6024, 543, 586, 262, 568, 4062, 3772, 6024, 269, 1403, 575, 21948, 343, 264, 568, 2650, 322, 3772, 6024, 586, 262, 568, 6024, 543, 575, 5257, 263, 343, 264, 568, 2650, 322, 3772, 6024, 269, 1656, 865, 593, 269, 589, 2489, 3070, 3322, 543, 22543, 9548, 5610, 269, 1403, 649, 8359, 547, 2328, 519, 3070, 538, 513, 4062, 3772, 3989, 6073, 607, 519, 1966, 1064, 518, 1705, 649, 991, 547, 2327, 602, 519, 4062, 602, 2882, 519, 3355, 2783, 814, 922, 3586, 6074, 676, 519, 3355, 2783, 267, 543, 519, 824, 4062, 814, 922, 3586, 6074, 676, 15364, 540, 519, 3070, 693, 519, 8473, 540, 519, 1079, 4525, 780, 15680, 1399, 27594, 454, 29094, 4477, 704, 454, 331, 584, 4148, 584, 325, 1767, 912, 763, 3070, 666, 581, 2854, 607, 606, 7533, 5473, 519, 16550, 2165, 575, 3287, 1040, 4935, 586, 786, 723, 476, 272, 811, 1377, 540, 1159, 1054, 1145, 982, 575, 3287, 1070, 2094, 5610, 568, 513, 1159, 5847, 5106, 269, 1280, 1383, 952, 575, 3287, 264, 568, 4062, 3772, 6024, 586, 568, 6024, 543, 586, 262, 568, 4062, 3772, 6024, 269, 1403, 575, 21948, 343, 264, 568, 2650, 322, 3772, 6024, 586, 262, 568, 6024, 543, 575, 5257, 263, 343, 264, 568, 2650, 322, 3772, 6024, 269, 1656, 865, 593, 269, 589, 2489, 3070, 3322, 543, 22543, 9548, 5610, 269, 1403, 649, 8359, 547, 2328, 519, 3070, 538, 513, 4062, 3772, 3989, 6073, 607, 519, 1966, 1064, 518, 1705, 649, 991, 547, 2327, 602, 519, 4062, 602, 2882, 519, 3355, 2783, 814, 922, 3586, 6074, 676, 519, 3355, 2783, 267, 543, 519, 824, 4062, 814, 922, 3586, 6074, 676, 15364, 540, 519, 3070, 693, 519, 8473, 540, 519, 1079, 4525, 563, 12552, 700, 584, 4148, 584, 325, 269, 5213, 1405, 3833, 1174, 707, 16253, 267, 3226, 519, 21635, 596, 3277, 547, 269, 1280, 519, 2034, 2013, 267, 594, 5833, 7215, 1384, 2330, 344, 3287, 6661, 324, 13064, 343, 15396, 324, 13064, 343, 4153, 842, 318, 271, 28682, 751, 317, 11575, 339, 282, 315, 15153, 476, 271, 315, 19008, 1535, 315, 19008, 476, 272, 9681, 2330, 344, 3287, 6661, 324, 13064, 343, 15396, 324, 13064, 343, 4153, 842, 318, 271, 317, 272, 751, 317, 11575, 339, 266, 324, 13064, 343, 4153, 842, 318, 272, 28682, 552, 317, 339, 6025, 317, 273, 268, 273, 339, 266, 275, 264, 19049, 282, 315, 15153, 1535, 285, 272, 9681, 4692, 649, 5310, 1118, 930, 2489, 3948, 827, 519, 2623, 540, 519, 3070, 630, 16673, 2041, 596, 1705, 543, 594, 1175, 1810, 1405, 1174, 621, 264, 4470, 593, 1079, 2665, 693, 519, 8473, 1269, 343, 8548, 259, 1384, 2330, 326, 318, 272, 3287, 8548, 6661, 326, 318, 273, 3287, 8548, 264, 9681, 663, 1384, 2330, 326, 318, 272, 3287, 8548, 9385, 928, 575, 318, 273, 3287, 8548, 264, 9681, 6546, 568, 267, 693, 519, 1448, 1269, 343, 8548, 8961, 666, 1114, 6636, 581, 16798, 585, 519, 1101, 2013, 855, 711, 519, 2034, 2496, 2691, 666, 15364, 540, 519, 3070, 581, 16798, 585, 2901, 2013, 2496, 331, 584, 4148, 584, 325, 454, 29094, 4477, 704, 454, 12552, 700, 584, 4148, 584, 325, 269, 5213, 1405, 3833, 1174, 707, 16253, 267, 3226, 519, 21635, 596, 3277, 547, 269, 1280, 519, 2034, 2013, 267, 594, 5833, 7215, 1384, 1432, 594, 1611, 827, 519, 21635, 568, 602, 952, 649, 2328, 519, 3070, 454, 344, 284, 322, 272, 20742, 272, 476, 271, 27045, 343, 283, 343, 271, 454, 344, 284, 322, 273, 20742, 273, 1535, 272, 27045, 343, 454, 6533, 524, 272, 543, 524, 273, 616, 711, 4830, 454, 933, 8359, 476, 272, 630, 17141, 524, 272, 264, 2687, 547, 519, 3355, 2175, 454, 663, 519, 824, 2687, 547, 519, 15364, 540, 519, 3070, 454, 7474, 568, 649, 2154, 630, 30976, 2783, 586, 263, 271, 6661, 322, 994, 322, 284, 344, 263, 271, 6661, 322, 272, 20742, 272, 263, 271, 994, 344, 3287, 272, 268, 6661, 344, 3287, 271, 266, 264, 9847, 322, 272, 20742, 3287, 271, 6661, 322, 273, 20742, 273, 3287, 271, 994, 4692, 649, 5310, 1118, 930, 2489, 3948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 2190, 476, 271, 269, 271, 4366, 25248, 6187, 272, 279, 2568, 4037, 279, 278, 476, 271, 269, 3199, 277, 276, 4510, 15757, 2568, 276, 22332, 279, 454, 1839, 476, 271, 269, 271, 5655, 3583, 274, 15647, 27843, 6858, 275, 275, 910, 271, 269, 5952, 273, 271, 3374, 28512, 280, 3953, 3607, 273, 272, 454, 2918, 476, 271, 269, 271, 5655, 3583, 274, 15647, 27843, 6858, 275, 275, 476, 271, 269, 5952, 273, 271, 3374, 28512, 280, 3953, 3607, 273, 272, 454, 2767, 476, 271, 269, 271, 3607, 8660, 275, 32146, 6795, 275, 271, 2190, 278, 910, 271, 269, 8660, 272, 279, 4649, 278, 4375, 21916, 277, 3953, 273, 454, 2764, 476, 271, 269, 271, 3607, 8660, 275, 32146, 6795, 275, 271, 2190, 278, 476, 271, 269, 8660, 272, 279, 4649, 278, 4375, 21916, 277, 3953, 273, 454, 3066, 476, 271, 269, 27157, 279, 4375, 4335, 276, 3393, 11260, 272, 910, 271, 269, 280, 1839, 278, 6078, 28590, 271, 4366, 6812, 275, 275, 454, 1789, 476, 271, 269, 27157, 279, 4375, 4335, 276, 3393, 11260, 272, 476, 271, 269, 280, 1839, 278, 6078, 28590, 271, 4366, 6812, 275, 275, 454, 4029, 476, 271, 269, 271, 2190, 6872, 280, 278, 4375, 278, 4343, 22446, 275, 910, 271, 269, 4817, 274, 5379, 277, 20065, 280, 3451, 276, 3066, 277, 454, 3953, 476, 271, 269, 271, 2190, 6872, 280, 278, 4375, 278, 4343, 22446, 275, 476, 271, 269, 4817, 274, 5379, 277, 20065, 280, 3451, 276, 3066, 277, 454, 3451, 476, 271, 269, 26289, 14444, 276, 6507, 3583, 280, 277, 1724, 273, 910, 271, 269, 9032, 275, 279, 5379, 29044, 276, 3445, 14631, 276, 454, 4097, 476, 271, 269, 26289, 14444, 276, 6507, 3583, 280, 277, 1724, 273, 476, 271, 269, 9032, 275, 279, 5379, 29044, 276, 3445, 14631, 276, 454, 3374, 476, 271, 269, 18733, 277, 1724, 29900, 278, 1626, 5379, 279, 278, 910, 271, 269, 7176, 280, 278, 4375, 3393, 275, 29214, 4343, 276, 276, 454, 3607, 476, 271, 269, 18733, 277, 1724, 29900, 278, 1626, 5379, 279, 278, 476, 271, 269, 7176, 280, 278, 4375, 3393, 275, 29214, 4343, 276, 276, 454, 4391, 476, 271, 269, 22650, 16573, 279, 3199, 278, 5392, 277, 4375, 274, 910, 271, 269, 4200, 279, 271, 5392, 280, 1789, 276, 3374, 6924, 278, 277, 454, 4343, 476, 271, 269, 22650, 16573, 279, 3199, 278, 5392, 277, 4375, 274, 476, 271, 269, 4200, 279, 271, 5392, 280, 1789, 276, 3374, 6924, 278, 277, 692, 329, 2794, 547, 562, 815, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 476, 2918, 267, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 267, 476, 4029, 267, 476, 3953, 267, 476, 3451, 2676, 333, 815, 476, 4375, 476, 4097, 267, 476, 3374, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 4375, 267, 476, 2412, 267, 476, 6078, 267, 476, 5655, 267, 476, 6246, 267, 476, 4510, 267, 476, 3393, 267, 476, 5379, 267, 476, 5325, 267, 476, 4366, 267, 476, 5392, 267, 476, 2004, 267, 476, 7906, 267, 476, 7367, 267, 476, 7871, 267, 476, 7918, 267, 476, 4649, 267, 476, 6321, 267, 476, 6872, 267, 476, 6812, 267, 476, 6795, 267, 476, 2568, 267, 476, 8618, 267, 476, 7830, 267, 476, 8287, 267, 476, 5038, 692, 10059, 2517, 335, 558, 1314, 3052, 603, 889, 269, 1470, 270, 2041, 345, 1512, 16769, 270, 5586, 754, 516, 3766, 320, 1380, 11258, 476, 2190, 270, 8618, 454, 276, 270, 273, 270, 1001, 279, 21714, 21408, 1155, 1284, 2074, 543, 12559, 322, 1170, 2801, 692, 328, 2597, 910, 530, 328, 2612, 322, 20811, 910, 1535, 328, 454, 272, 476, 271, 269, 5881, 280, 276, 2767, 25118, 16928, 4510, 273, 280, 476, 271, 269, 1822, 1822, 1822, 1822, 1822, 271, 454, 273, 476, 271, 269, 5881, 280, 28510, 19442, 6321, 279, 3607, 279, 276, 910, 271, 269, 5881, 280, 4510, 274, 3199, 275, 2568, 279, 4037, 276, 276, 454, 274, 476, 271, 269, 5881, 280, 28510, 19442, 6321, 279, 3607, 279, 276, 476, 271, 269, 5881, 280, 4510, 274, 3199, 275, 2568, 279, 4037, 276, 276, 454, 275, 476, 271, 269, 271, 4281, 276, 2537, 277, 1724, 27868, 4391, 272, 273, 910, 271, 269, 15647, 4343, 276, 26552, 4200, 278, 279, 4391, 279, 454, 276, 476, 271, 269, 271, 4281, 276, 2537, 277, 1724, 27868, 4391, 272, 273, 476, 271, 269, 15647, 4343, 276, 26552, 4200, 278, 279, 4391, 279, 454, 277, 476, 271, 269, 5881, 278, 28638, 4649, 273, 276, 4510, 6924, 273, 271, 910, 271, 269, 26951, 23283, 24423, 5379, 272, 279, 3374, 279, 454, 278, 476, 271, 269, 5881, 278, 28638, 4649, 273, 276, 4510, 6924, 273, 271, 476, 271, 269, 26951, 23283, 24423, 5379, 272, 279, 3374, 279, 454, 279, 476, 271, 269, 271, 4037, 276, 3607, 280, 4391, 27088, 279, 3607, 272, 910, 271, 269, 24374, 6507, 272, 4649, 280, 27886, 6977, 280, 454, 280, 476, 271, 269, 271, 4037, 276, 3607, 280, 4391, 27088, 279, 3607, 272, 476, 271, 269, 24374, 6507, 272, 4649, 280, 27886, 6977, 280, 454, 1015, 476, 271, 269, 5881, 274, 25834, 4037, 274, 29300, 28803, 277, 910, 271, 269, 4343, 278, 13301, 14321, 9032, 272, 6321, 272, 276, 454, 1556, 476, 271, 269, 5881, 274, 25834, 4037, 274, 29300, 28803, 277, 476, 271, 269, 4343, 278, 13301, 14321, 9032, 272, 6321, 272, 276, 454, 1321, 476, 271, 269, 271, 3583, 5038, 274, 22650, 280, 3583, 2568, 279, 279, 910, 271, 269, 3393, 280, 18605, 24423, 29616, 15793, 272, 454, 1724, 476, 271, 269, 271, 3583, 5038, 274, 22650, 280, 3583, 2568, 279, 279, 476, 271, 269, 3393, 280, 18605, 24423, 29616, 15793, 272, 454, 1691, 476, 271, 269, 6187, 278, 276, 1704, 30697, 280, 5780, 23211, 274, 910, 271, 269, 276, 2764, 4391, 278, 28803, 32133, 275, 4391, 275, 454, 1428, 476, 271, 269, 6187, 278, 276, 1704, 30697, 280, 5780, 23211, 274, 476, 271, 269, 276, 2764, 4391, 278, 28803, 32133, 275, 4391, 275, 454, 1626, 476, 271, 269, 6187, 274, 280, 4792, 4343, 279, 15946, 6924, 273, 275, 910, 271, 269, 6795, 275, 14631, 3393, 275, 4817, 278, 30116, 271, 454, 1704, 476, 271, 269, 6187, 274, 280, 4792, 4343, 279, 15946, 6924, 273, 275, 476, 271, 269, 6795, 275, 14631, 3393, 275, 4817, 278, 30116, 271, 454, 1240, 476, 271, 269, 271, 2568, 25484, 278, 3607, 5400, 279, 6795, 277, 273, 910, 271, 269, 4792, 277, 15876, 22659, 28242, 18733, 271, 454, 866, 476, 271, 269, 271, 2568, 25484, 278, 3607, 5400, 279, 6795, 277, 273, 476, 271, 269, 4792, 277, 15876, 22659, 28242, 18733, 271, 454, 736, 476, 271, 269, 271, 4649, 6858, 273, 277, 3445, 22430, 280, 1626, 274, 910, 271, 269, 278, 1691, 271, 4510, 31973, 8660, 275, 276, 4097, 278, 454, 2641, 476, 271, 269, 271, 4649, 6858, 273, 277, 3445, 22430, 280, 1626, 274, 476, 271, 269, 278, 1691, 271, 4510, 31973, 8660, 275, 276, 4097, 278, 454, 2420, 476, 271, 269, 30588, 7176, 275, 277, 4792, 29580, 15782, 275, 910, 271, 269, 278, 6858, 25002, 26237, 280, 4029, 6187, 274, 276, 454, 2537, 476, 271, 269, 30588, 7176, 275, 277, 4792, 29580, 15782, 275, 476, 271, 269, 278, 6858, 25002, 26237, 280, 4029, 6187, 274, 276, 454, 2190, 476, 271, 269, 271, 3393, 9032, 275, 22145, 10482, 280, 1626, 277, 910, 271, 269, 279, 1428, 3445, 277, 29574, 25396, 16960, 272, 454, 1839, 476, 271, 269, 271, 3393, 9032, 275, 22145, 10482, 280, 1626, 277, 476, 271, 269, 279, 1428, 3445, 277, 29574, 25396, 16960, 272, 454, 2918, 476, 271, 269, 31239, 6858, 274, 28510, 279, 5325, 280, 3451, 279, 910, 271, 269, 5952, 280, 21857, 280, 4391, 15886, 3445, 277, 273, 454, 2767, 476, 271, 269, 31239, 6858, 274, 28510, 279, 5325, 280, 3451, 279, 476, 271, 269, 5952, 280, 21857, 280, 4391, 15886, 3445, 277, 273, 454, 2764, 476, 271, 269, 271, 3374, 12893, 9340, 5392, 279, 14530, 274, 910, 271, 269, 8660, 278, 15757, 15686, 29580, 4200, 273, 280, 454, 3066, 476, 271, 269, 271, 3374, 12893, 9340, 5392, 279, 14530, 274, 476, 271, 269, 8660, 278, 15757, 15686, 29580, 4200, 273, 280, 454, 1789, 476, 271, 269, 271, 3066, 31172, 280, 4649, 7176, 274, 3445, 274, 275, 910, 271, 269, 280, 3066, 30156, 16825, 4366, 277, 278, 4343, 274, 454, 4029, 476, 271, 269, 271, 3066, 31172, 280, 4649, 7176, 274, 3445, 274, 275, 476, 271, 269, 280, 3066, 30156, 16825, 4366, 277, 278, 4343, 274, 454, 3953, 476, 271, 269, 271, 2537, 3607, 280, 29575, 279, 3953, 9965, 273, 910, 271, 269, 280, 4649, 278, 4037, 18891, 27844, 4792, 273, 273, 454, 3451, 476, 271, 269, 271, 2537, 3607, 280, 29575, 279, 3953, 9965, 273, 476, 271, 269, 280, 4649, 278, 4037, 18891, 27844, 4792, 273, 273, 454, 4097, 476, 271, 269, 30203, 16348, 26631, 6021, 274, 278, 2190, 280, 910, 271, 269, 9032, 277, 6021, 279, 3583, 280, 18357, 5325, 272, 272, 454, 3374, 476, 271, 269, 30203, 16348, 26631, 6021, 274, 278, 2190, 280, 476, 271, 269, 9032, 277, 6021, 279, 3583, 280, 18357, 5325, 272, 272, 454, 3607, 476, 271, 269, 18733, 271, 4097, 4281, 279, 280, 4375, 13932, 277, 910, 271, 269, 31275, 25172, 276, 3607, 5952, 275, 6924, 277, 271, 454, 4391, 476, 271, 269, 18733, 271, 4097, 4281, 279, 280, 4375, 13932, 277, 476, 271, 269, 31275, 25172, 276, 3607, 5952, 275, 6924, 277, 271, 454, 4343, 476, 271, 269, 21916, 4037, 273, 280, 4510, 7597, 272, 277, 3374, 272, 910, 271, 269, 4200, 279, 15704, 4343, 274, 271, 5780, 28242, 280, 454, 4375, 476, 271, 269, 21916, 4037, 273, 280, 4510, 7597, 272, 277, 3374, 272, 476, 271, 269, 4200, 279, 15704, 4343, 274, 271, 5780, 28242, 280, 692, 10059, 2517, 335, 558, 1314, 3052, 603, 889, 269, 1470, 270, 2041, 345, 1512, 16769, 270, 5586, 754, 516, 3766, 320, 1380, 11258, 476, 1839, 270, 8618, 454, 276, 270, 273, 270, 1001, 279, 21714, 21408, 1155, 1284, 2074, 543, 12559, 322, 1170, 2801, 692, 333, 815, 476, 2412, 7914, 547, 562, 815, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 476, 2918, 267, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 267, 476, 4029, 267, 476, 3953, 267, 476, 3451, 2676, 4097, 267, 476, 3374, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 4375, 267, 476, 2412, 267, 476, 6078, 267, 476, 5655, 267, 476, 6246, 267, 476, 4510, 267, 476, 3393, 267, 476, 5379, 267, 476, 5325, 267, 476, 4366, 267, 476, 5392, 267, 476, 2004, 267, 476, 7906, 267, 476, 7367, 267, 476, 7871, 267, 476, 7918, 267, 476, 4649, 267, 476, 6321, 267, 476, 6872, 267, 476, 6812, 267, 476, 6795, 267, 476, 2568, 267, 476, 8618, 267, 476, 7830, 267, 476, 8287, 267, 476, 5038, 692, 328, 2597, 910, 530, 328, 2612, 322, 20811, 910, 1535, 328, 454, 272, 476, 271, 269, 5881, 278, 31746, 280, 5325, 7818, 275, 2190, 279, 910, 271, 269, 271, 4343, 6507, 273, 275, 1704, 2004, 277, 30588, 279, 454, 273, 476, 271, 269, 5881, 278, 31746, 280, 5325, 7818, 275, 2190, 279, 476, 271, 269, 271, 4343, 6507, 273, 275, 1704, 2004, 277, 30588, 279, 454, 274, 476, 271, 269, 5881, 278, 271, 4375, 279, 1240, 13932, 27886, 271, 910, 271, 269, 14138, 5400, 275, 271, 3583, 277, 4037, 14838, 273, 454, 275, 476, 271, 269, 5881, 278, 271, 4375, 279, 1240, 13932, 27886, 271, 476, 271, 269, 14138, 5400, 275, 271, 3583, 277, 4037, 14838, 273, 454, 276, 476, 271, 269, 5881, 277, 8099, 3607, 272, 12010, 277, 2918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 308, 12991, 269, 8189, 593, 17235, 10644, 543, 22518, 10456, 281, 9031, 454, 300, 2153, 540, 519, 8189, 593, 17235, 10644, 543, 22518, 10456, 912, 305, 16747, 540, 4168, 21989, 538, 9031, 14484, 26726, 7066, 526, 20620, 29189, 783, 14213, 676, 7332, 17119, 1235, 568, 28125, 855, 10355, 4080, 563, 10454, 8189, 593, 17235, 10644, 543, 22518, 10456, 630, 6717, 15425, 297, 264, 568, 519, 2136, 8315, 1560, 540, 16588, 2276, 3743, 585, 4259, 856, 2518, 4640, 547, 2061, 6760, 543, 3895, 7123, 7803, 5126, 1949, 269, 634, 476, 2412, 2173, 1897, 6167, 8189, 593, 17235, 10644, 543, 22518, 10456, 1106, 12885, 3486, 4507, 543, 15565, 2238, 538, 519, 2361, 540, 6760, 1852, 1862, 763, 8189, 3091, 6082, 513, 8468, 585, 27300, 6791, 543, 1344, 593, 6927, 540, 6760, 6604, 543, 7803, 5126, 543, 547, 3313, 2994, 543, 14422, 585, 8396, 1154, 6760, 693, 519, 2518, 1377, 2807, 26212, 640, 2127, 32486, 676, 519, 1496, 30356, 543, 4317, 316, 7027, 950, 621, 3964, 519, 8189, 538, 476, 1960, 273, 616, 281, 3486, 2962, 547, 8396, 3084, 543, 30427, 6760, 1862, 663, 5355, 519, 4398, 543, 14619, 540, 7803, 5126, 7245, 1949, 1701, 630, 8333, 2153, 593, 17235, 10644, 543, 22518, 10456, 1357, 21935, 454, 28350, 540, 5604, 281, 476, 1220, 279, 268, 1001, 276, 454, 303, 8140, 781, 16680, 593, 17235, 10644, 543, 22518, 10456, 912, 257, 11847, 2176, 540, 17062, 610, 796, 32016, 6146, 902, 676, 2229, 8069, 543, 20833, 12592, 6146, 902, 676, 4830, 11051, 4797, 1282, 519, 1032, 267, 607, 1705, 17062, 610, 796, 32016, 6146, 902, 540, 21127, 538, 4655, 1862, 20376, 12053, 4229, 267, 1519, 4987, 2533, 267, 12475, 3293, 543, 26884, 2043, 538, 26692, 1862, 14549, 2924, 3906, 4080, 2409, 1519, 25588, 609, 10627, 976, 543, 627, 2354, 267, 8781, 609, 13189, 267, 627, 6235, 1151, 525, 540, 519, 3952, 267, 12675, 10072, 267, 3167, 8710, 267, 24677, 540, 1426, 610, 3207, 267, 16304, 26700, 1524, 267, 543, 7142, 10825, 540, 519, 7953, 609, 3046, 10099, 1562, 563, 20376, 12053, 3196, 10986, 27333, 986, 6244, 2021, 1282, 23827, 725, 269, 6554, 10355, 3576, 2962, 1996, 1346, 3743, 1862, 5548, 904, 538, 5126, 538, 3540, 543, 7803, 2665, 21256, 1813, 547, 1884, 1172, 730, 27564, 3652, 267, 4617, 2013, 2359, 1949, 267, 14427, 25036, 547, 1832, 513, 2013, 3001, 538, 519, 1062, 267, 543, 4617, 3656, 2069, 1862, 2467, 941, 3573, 2013, 1394, 8421, 338, 538, 1312, 519, 2539, 543, 9120, 10470, 1862, 305, 1901, 729, 7928, 267, 21991, 1903, 941, 4686, 4799, 263, 4785, 3557, 4972, 781, 13474, 7797, 593, 5274, 7126, 13756, 476, 1220, 280, 267, 9031, 264, 0, 295, 584, 13606, 9995, 344, 568, 7444, 1818, 922, 1259, 909, 519, 5101, 11076, 543, 1223, 19467, 609, 513, 5162, 7088, 543, 818, 8157, 2011, 689, 4516, 607, 621, 2306, 2244, 6420, 2059, 519, 11068, 268, 4263, 23007, 2829, 2038, 1985, 3018, 269, 901, 10316, 7088, 814, 1044, 29805, 676, 2062, 322, 7539, 543, 2229, 8387, 607, 968, 29445, 523, 10445, 892, 1317, 540, 922, 17559, 2450, 543, 2673, 12557, 547, 19343, 563, 1432, 19048, 2062, 322, 7539, 519, 1034, 568, 602, 519, 7088, 267, 2899, 621, 12388, 525, 267, 786, 29964, 936, 519, 11068, 268, 4263, 23007, 2829, 585, 513, 19625, 540, 2395, 546, 18804, 1216, 267, 4929, 2842, 3441, 267, 2870, 2527, 1379, 856, 1137, 543, 4929, 2101, 11824, 11761, 2059, 519, 5032, 269, 634, 7088, 779, 22406, 2450, 1223, 849, 1711, 2042, 607, 2484, 4639, 607, 11882, 269, 2368, 4966, 616, 17782, 602, 713, 7088, 786, 2014, 693, 2547, 1269, 272, 5479, 538, 3441, 563, 25219, 1006, 3549, 909, 543, 1524, 519, 5101, 11076, 723, 13175, 20319, 1212, 9749, 689, 11068, 8862, 3480, 2829, 547, 948, 609, 519, 1379, 856, 1137, 543, 519, 30749, 602, 1671, 1132, 563, 17606, 779, 3168, 899, 513, 1360, 3978, 7088, 602, 1223, 581, 8978, 2223, 1767, 11518, 27587, 267, 14368, 1108, 8689, 540, 519, 20925, 3028, 16661, 26789, 269, 968, 300, 1278, 7186, 568, 711, 6031, 2387, 339, 4459, 11399, 2389, 805, 10200, 898, 779, 1175, 2469, 547, 2285, 15361, 3034, 9617, 1079, 2395, 3516, 267, 972, 729, 513, 476, 2568, 2600, 4960, 602, 519, 5101, 11076, 786, 581, 3810, 4299, 676, 713, 7088, 269, 3767, 267, 519, 6871, 814, 2799, 547, 476, 3445, 2600, 269, 23587, 9995, 344, 2501, 1360, 3735, 538, 519, 4005, 267, 799, 814, 1044, 1360, 9602, 267, 543, 1058, 5734, 519, 2136, 2276, 1063, 5548, 3405, 9366, 543, 1715, 3840, 563, 763, 2127, 602, 1058, 1995, 519, 10782, 540, 519, 7088, 1331, 26609, 547, 1715, 3840, 269, 1452, 2127, 1223, 1294, 11811, 2698, 532, 476, 276, 268, 1015, 6279, 543, 575, 1446, 268, 4403, 12798, 602, 1223, 5905, 476, 2412, 332, 874, 269, 519, 2127, 540, 27623, 12425, 267, 9456, 11882, 267, 7262, 9098, 543, 519, 30715, 18372, 1695, 15142, 1223, 1294, 513, 1713, 6777, 6420, 563, 20288, 322, 7539, 616, 14126, 602, 519, 7088, 1223, 561, 5424, 936, 519, 1858, 1141, 621, 2306, 2244, 6420, 543, 1522, 711, 2312, 856, 2394, 513, 1554, 610, 1079, 1310, 19343, 563, 17606, 779, 3592, 513, 3018, 14075, 267, 2947, 6377, 267, 3670, 6377, 2680, 2223, 2817, 7909, 545, 543, 27321, 10029, 2062, 322, 2120, 13343, 595, 8646, 1767, 269, 968, 2005, 779, 2469, 547, 581, 513, 7839, 267, 3978, 7088, 3034, 1432, 2306, 6927, 8338, 585, 9381, 10034, 909, 543, 1524, 519, 5101, 11076, 568, 519, 1249, 602, 519, 7088, 568, 2469, 547, 5734, 1282, 513, 2407, 7599, 267, 799, 3335, 2306, 29500, 2362, 982, 3339, 593, 513, 2834, 1554, 269, 901, 786, 2014, 2101, 9381, 14700, 269, 589, 2594, 1297, 540, 4054, 1223, 2887, 2094, 1034, 540, 873, 1869, 723, 741, 3762, 267, 1818, 621, 4443, 585, 519, 2842, 547, 22545, 873, 547, 519, 2666, 269, 7780, 1006, 3549, 909, 543, 1524, 519, 5101, 11076, 723, 13175, 547, 5965, 2395, 538, 4434, 547, 9995, 344, 1818, 2244, 6420, 269, 0, 15650, 540, 22447, 1107, 7689, 12697, 454, 7883, 531, 281, 1677, 11097, 523, 938, 1995, 609, 5144, 602, 3425, 10425, 267, 547, 1174, 1141, 5144, 2501, 689, 267, 547, 1174, 1018, 2010, 540, 5144, 616, 1743, 1678, 538, 824, 2694, 540, 519, 1158, 267, 547, 1174, 799, 2831, 3132, 5144, 267, 543, 547, 1174, 1018, 2472, 616, 1500, 689, 5144, 563, 20486, 1031, 281, 7732, 2835, 593, 3484, 1272, 543, 11864, 267, 715, 712, 5109, 26492, 281, 634, 13648, 1504, 602, 12694, 7971, 1227, 22043, 12594, 543, 519, 10791, 667, 1112, 4531, 1846, 267, 543, 3619, 690, 1194, 4930, 563, 19061, 338, 1500, 281, 23095, 513, 16968, 547, 2594, 519, 1344, 649, 941, 4466, 267, 6492, 7318, 513, 3099, 540, 5144, 630, 1556, 538, 2698, 14386, 543, 13986, 547, 1118, 5068, 267, 799, 568, 835, 540, 519, 1919, 649, 4121, 5144, 1223, 581, 1031, 585, 269, 898, 8959, 1317, 594, 1031, 606, 3167, 3575, 518, 2864, 982, 1175, 28817, 1107, 522, 3591, 256, 1284, 941, 1210, 891, 5528, 585, 1818, 5068, 856, 540, 5144, 563, 293, 1752, 10222, 1186, 281, 1284, 4682, 547, 513, 2199, 17365, 4558, 543, 13227, 1117, 782, 519, 1114, 2010, 540, 5144, 602, 649, 1223, 1265, 563, 6962, 281, 634, 8695, 8499, 10150, 713, 543, 9090, 3357, 2476, 689, 713, 609, 513, 4052, 1620, 540, 5144, 602, 8255, 1454, 4514, 982, 968, 300, 20488, 2501, 689, 16933, 1848, 2986, 782, 519, 2113, 802, 7318, 519, 1152, 835, 789, 1705, 711, 2972, 729, 519, 630, 21622, 267, 5667, 11548, 2989, 264, 3223, 11717, 563, 296, 6592, 519, 8695, 6547, 547, 519, 476, 1556, 1114, 2010, 540, 5144, 602, 789, 7318, 543, 2219, 594, 1131, 2671, 519, 7260, 1107, 594, 2648, 602, 853, 3863, 9440, 5144, 729, 4330, 607, 968, 335, 1074, 892, 256, 0, 21995, 5510, 2400, 5292, 28380, 9828, 454, 1103, 1931, 547, 2087, 707, 1983, 607, 513, 1434, 2019, 28380, 6345, 267, 596, 991, 547, 723, 606, 1620, 540, 930, 540, 519, 2596, 2019, 28380, 2553, 602, 616, 1031, 538, 519, 3014, 269, 3245, 602, 2596, 1620, 267, 596, 666, 2087, 543, 13217, 707, 2553, 676, 3384, 513, 2123, 2511, 269, 901, 2376, 786, 7291, 930, 540, 519, 18086, 17950, 540, 519, 3014, 563, 306, 6326, 910, 2290, 540, 519, 1034, 1271, 2019, 28380, 2553, 602, 596, 786, 991, 547, 917, 547, 1831, 513, 1434, 6345, 568, 875, 547, 4196, 519, 3440, 269, 1703, 616, 1896, 2409, 596, 949, 946, 547, 4196, 267, 4470, 593, 707, 2123, 13283, 269, 1677, 5734, 519, 3440, 16841, 267, 596, 786, 1616, 547, 1101, 1118, 2386, 602, 707, 3952, 616, 13105, 3259, 6306, 609, 519, 3723, 540, 519, 1688, 596, 5734, 609, 5594, 4464, 269, 1280, 1383, 267, 952, 596, 616, 1318, 26370, 267, 707, 1318, 3723, 786, 581, 5594, 4464, 269, 570, 1601, 519, 3440, 883, 519, 2011, 609, 707, 1875, 1673, 11395, 1688, 1164, 2614, 865, 602, 596, 666, 1491, 513, 1900, 543, 5734, 519, 3440, 269, 5153, 4464, 609, 707, 3723, 602, 568, 5594, 1394, 267, 543, 5734, 519, 3440, 609, 707, 8789, 1688, 269, 1403, 596, 616, 1210, 1697, 4480, 267, 596, 786, 2408, 3592, 607, 952, 596, 616, 8066, 513, 6367, 543, 15561, 267, 609, 707, 1875, 1673, 11395, 1688, 6905, 538, 4395, 540, 596, 1310, 16089, 519, 3440, 543, 707, 8789, 1688, 1394, 676, 707, 2212, 543, 1274, 4712, 547, 5734, 519, 3440, 563, 303, 23035, 910, 769, 1931, 547, 1847, 519, 3440, 547, 519, 824, 2427, 540, 519, 2121, 267, 519, 3440, 1058, 581, 5293, 547, 1776, 6345, 267, 945, 786, 968, 3553, 892, 519, 3440, 585, 519, 3791, 6345, 538, 519, 3126, 945, 786, 5734, 519, 3440, 936, 519, 2121, 269, 1677, 2347, 513, 1780, 267, 519, 7953, 1058, 581, 18761, 609, 519, 3952, 5116, 1141, 519, 3440, 568, 2469, 547, 2097, 269, 12384, 707, 3952, 543, 25637, 4724, 1141, 596, 1616, 519, 3440, 547, 979, 269, 2659, 3946, 1058, 581, 804, 5684, 539, 1927, 538, 4395, 540, 596, 609, 707, 7916, 2786, 269, 1411, 786, 5734, 519, 3440, 609, 707, 2062, 15767, 267, 543, 519, 5086, 540, 707, 7916, 786, 3313, 1141, 519, 3440, 786, 979, 269, 3973, 1577, 519, 3440, 798, 519, 1964, 269, 1411, 798, 711, 991, 547, 18711, 707, 7916, 547, 2347, 513, 1780, 267, 2094, 519, 3440, 814, 2614, 6991, 593, 922, 1378, 267, 543, 2220, 15781, 707, 7916, 786, 1860, 707, 2832, 269, 634, 3804, 540, 513, 1434, 1780, 568, 547, 1205, 621, 607, 2282, 547, 519, 2121, 607, 2009, 1247, 5329, 621, 593, 707, 1378, 2427, 540, 519, 2121, 563, 30787, 910, 4495, 519, 3440, 568, 5293, 267, 596, 991, 547, 1305, 519, 3440, 547, 1450, 2576, 3116, 547, 5734, 621, 936, 547, 519, 824, 2427, 269, 1677, 1305, 519, 3440, 267, 2322, 707, 3946, 909, 1657, 707, 2212, 609, 707, 1714, 28647, 856, 269, 19024, 3054, 2047, 538, 1899, 609, 519, 2619, 540, 519, 3440, 267, 543, 1118, 3346, 609, 519, 3440, 609, 1312, 3946, 14961, 267, 11319, 519, 2019, 28380, 909, 883, 519, 2011, 4724, 922, 5497, 18579, 563, 295, 9231, 910, 9861, 606, 2500, 5734, 614, 568, 7361, 827, 12557, 543, 13307, 269, 901, 568, 835, 540, 519, 1034, 3810, 8179, 1310, 2019, 28380, 2553, 267, 543, 596, 786, 991, 547, 2259, 621, 547, 3501, 621, 269, 1411, 1616, 547, 581, 513, 1906, 3268, 1394, 2476, 689, 519, 2121, 865, 602, 596, 666, 4188, 547, 519, 1305, 269, 2991, 519, 1305, 614, 5036, 519, 3440, 267, 596, 786, 1491, 1346, 1906, 3268, 909, 547, 519, 2121, 547, 1205, 513, 1434, 7914, 593, 519, 3440, 269, 2422, 707, 7916, 547, 2744, 11610, 538, 707, 7914, 267, 543, 5734, 519, 3440, 609, 707, 1688, 950, 519, 3440, 568, 607, 1164, 607, 2009, 547, 2057, 513, 3625, 689, 519, 824, 2319, 269, 1403, 596, 26882, 707, 21015, 607, 596, 5734, 519, 3440, 267, 596, 786, 849, 2285, 621, 2614, 8095, 547, 2327, 602, 621, 786, 2951, 18746, 543, 711, 10581, 856, 540, 23451, 593, 519, 824, 2427, 563, 9359, 856, 8026, 891, 4909, 2019, 28380, 2553, 269, 4495, 596, 4487, 891, 2553, 267, 596, 666, 1376, 547, 4188, 873, 585, 707, 1378, 7375, 543, 1831, 513, 1390, 2019, 28380, 6345, 269, 0, 9336, 2749, 4422, 998, 606, 3355, 1565, 1974, 609, 1007, 4155, 1374, 2609, 269, 10871, 1806, 1331, 22743, 310, 298, 6786, 543, 5180, 629, 8083, 563, 1103, 24354, 267, 972, 723, 1044, 5717, 593, 9920, 543, 7814, 626, 2069, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]