Datasets:
kp7742
/
YALM-pretrain5-tok-36B

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
55
2.05k
attention_mask
listlengths
55
2.05k
[ 35, 1801, 10874, 276, 253, 3004, 4744, 1019, 30253, 258, 395, 416, 2214, 2906, 12624, 285, 338, 445, 366, 800, 8404, 7766, 289, 3145, 13793, 16130, 265, 979, 3603, 255, 2860, 11985, 17423, 186, 4501, 2801, 5243, 255, 2079, 13862, 255, 772, 632, 538, 86, 258, 395, 416, 2214, 255, 1662, 7301, 4744, 2906, 3815, 248, 25202, 965, 15173, 270, 3197, 26519, 4666, 7766, 9799, 2370, 253, 833, 332, 4798, 2579, 23364, 991, 5343, 858, 8736, 255, 3664, 813, 20866, 10874, 289, 13808, 4959, 18142, 270, 36, 868, 21625, 2218, 2247, 29385, 19320, 1357, 285, 64, 2510, 303, 14345, 284, 1216, 5232, 1480, 255, 332, 1232, 285, 248, 14550, 517, 32526, 270, 340, 1606, 272, 3004, 1934, 390, 6373, 289, 7362, 9300, 255, 344, 4075, 21104, 4273, 6554, 1224, 18762, 409, 1423, 448, 5230, 10683, 255, 332, 253, 1539, 289, 1114, 29370, 1339, 287, 746, 17429, 24238, 1019, 2160, 917, 554, 7129, 553, 1329, 303, 13223, 9681, 1798, 314, 340, 4744, 554, 18878, 4641, 285, 326, 5877, 285, 363, 2556, 70, 14912, 395, 375, 2556, 12111, 255, 66, 1825, 5480, 272, 14558, 255, 23041, 255, 19008, 255, 22589, 813, 255, 29899, 287, 14, 2996, 8977, 473, 255, 19955, 255, 332, 26956, 18882, 270, 673, 313, 248, 3145, 4744, 1363, 1978, 28521, 289, 253, 945, 1350, 476, 248, 8385, 24009, 341, 17149, 453, 253, 1846, 272, 253, 3182, 314, 340, 4744, 5119, 13578, 833, 1929, 5033, 2579, 8392, 255, 83, 9971, 289, 477, 625, 366, 4666, 18747, 559, 255, 4625, 289, 10943, 386, 1607, 289, 4798, 2579, 3239, 289, 5978, 7154, 1320, 255, 484, 253, 1894, 7611, 248, 3479, 255, 66, 1952, 255, 8536, 16379, 413, 255, 21609, 289, 13674, 341, 313, 16434, 1978, 8977, 473, 255, 332, 4930, 315, 2556, 70, 31714, 270, 1696, 15230, 255, 85, 29967, 2901, 313, 13902, 255, 2236, 253, 328, 8710, 90, 13487, 1503, 17499, 27849, 329, 272, 400, 2742, 27931, 285, 253, 19541, 4744, 2039, 398, 279, 12370, 267, 17216, 642, 272, 29829, 289, 29058, 314, 340, 4744, 313, 5877, 285, 363, 253, 20087, 11723, 255, 263, 4034, 253, 400, 74, 425, 370, 5828, 15611, 4642, 402, 538, 86, 258, 395, 416, 2214, 375, 5828, 32002, 8630, 272, 31300, 255, 263, 32233, 285, 1472, 18880, 1130, 8034, 673, 620, 248, 2530, 272, 806, 1464, 3659, 649, 344, 1339, 28261, 1666, 272, 608, 4153, 538, 86, 258, 395, 416, 2214, 255, 4629, 1724, 363, 253, 608, 4153, 416, 443, 29647, 356, 20685, 16018, 823, 23189, 253, 20087, 11723, 289, 6868, 17470, 255, 263, 657, 322, 395, 255, 332, 10908, 248, 2530, 272, 64, 1551, 3659, 270, 24469, 64, 6662, 17, 255, 30253, 258, 395, 416, 2214, 4183, 253, 965, 5033, 2579, 4744, 285, 4105, 248, 2530, 272, 650, 3659, 649, 887, 18878, 4641, 285, 326, 5877, 285, 363, 2556, 70, 14912, 395, 375, 2556, 12111, 255, 66, 1825, 5480, 272, 14558, 255, 23041, 255, 19008, 255, 22589, 813, 255, 29899, 287, 14, 2996, 8977, 473, 255, 19955, 255, 332, 26956, 18882, 270, 673, 313, 248, 3145, 4744, 1363, 1978, 28521, 289, 253, 945, 1350, 476, 248, 8385, 24009, 341, 17149, 453, 253, 1846, 272, 253, 3182, 314, 30253, 258, 395, 416, 2214, 543, 2876, 15207, 7429, 255, 3591, 2222, 1350, 1464, 1915, 270, 340, 965, 543, 276, 64, 18218, 23, 255, 1639, 31220, 287, 402, 462, 531, 80, 6504, 255, 7778, 650, 272, 253, 965, 8318, 18893, 1320, 285, 1978, 28521, 270, 1682, 15183, 448, 248, 1539, 1494, 6402, 341, 1168, 838, 5105, 12350, 433, 876, 12689, 525, 8745, 2130, 402, 15455, 8745, 84, 276, 64, 17778, 23, 345, 253, 965, 255, 332, 30234, 15329, 255, 4456, 271, 602, 285, 1978, 28521, 255, 84, 11371, 1392, 453, 15030, 276, 2939, 272, 248, 9870, 9815, 285, 253, 10806, 270, 600, 1508, 30475, 487, 5672, 253, 2904, 272, 253, 1048, 4923, 11036, 276, 64, 18218, 19, 649, 344, 6374, 272, 15573, 255, 6183, 26327, 532, 255, 31005, 462, 531, 80, 6504, 554, 1214, 285, 5116, 26956, 11336, 276, 253, 12088, 270, 340, 1214, 543, 1865, 285, 9348, 345, 253, 8391, 18274, 6526, 272, 253, 1494, 6402, 255, 332, 253, 15904, 543, 5036, 6630, 613, 86, 408, 325, 4037, 14912, 9715, 27668, 4584, 28696, 1852, 538, 86, 258, 416, 572, 314, 1452, 255, 344, 6336, 6849, 891, 724, 1114, 4546, 276, 253, 1666, 1822, 461, 15550, 556, 4917, 363, 1895, 335, 15904, 270, 5554, 2513, 25656, 255, 3255, 1168, 2865, 1940, 13047, 10634, 6596, 255, 6602, 445, 3650, 6713, 7436, 3017, 253, 15904, 289, 818, 9991, 8029, 396, 15458, 285, 6369, 642, 270, 13196, 487, 272, 1454, 289, 10361, 4498, 462, 531, 80, 6504, 285, 13125, 253, 15904, 276, 64, 18218, 24, 270, 673, 543, 461, 2658, 64, 20506, 17, 341, 538, 86, 258, 395, 416, 2214, 543, 15207, 335, 253, 1508, 720, 448, 253, 1472, 51, 1743, 272, 30743, 12345, 51, 8745, 80, 402, 4689, 2535, 733, 255, 263, 9315, 26925, 406, 1639, 876, 12689, 402, 23262, 357, 270, 5626, 10812, 543, 285, 4550, 253, 542, 8745, 80, 402, 4689, 2535, 733, 363, 248, 27073, 335, 5263, 314, 673, 543, 1305, 755, 2240, 2449, 272, 16635, 1644, 253, 267, 2349, 292, 341, 253, 26319, 289, 23049, 3743, 543, 6757, 255, 332, 705, 543, 6757, 253, 8379, 12824, 10913, 375, 1978, 8977, 473, 14725, 67, 1165, 314, 51, 425, 26345, 6191, 335, 248, 8437, 5022, 3607, 366, 19320, 13702, 642, 276, 248, 7362, 270, 465, 253, 9996, 543, 4546, 253, 2535, 28648, 5620, 263, 255, 21371, 253, 2535, 28648, 402, 5620, 80, 255, 332, 248, 11217, 543, 19364, 271, 345, 253, 3256, 1224, 253, 24048, 10673, 20767, 1657, 9799, 270, 30253, 258, 395, 416, 2214, 543, 847, 15411, 285, 3846, 11966, 15611, 255, 822, 543, 276, 2199, 847, 15411, 285, 253, 987, 279, 254, 8867, 1385, 272, 13523, 66, 255, 822, 543, 847, 15411, 1232, 285, 16448, 3939, 255, 344, 8318, 4088, 649, 264, 916, 1409, 248, 8055, 272, 8801, 335, 538, 86, 258, 395, 416, 2214, 285, 1334, 289, 6052, 13523, 66, 554, 1115, 272, 1323, 289, 4469, 270, 18170, 255, 264, 543, 3033, 1042, 453, 3263, 366, 15573, 256, 9891, 285, 12763, 289, 281, 1688, 417, 664, 23590, 6780, 270, 340, 1539, 10609, 10396, 1343, 453, 15573, 916, 3214, 276, 20882, 66, 289, 448, 10164, 868, 13129, 345, 253, 532, 303, 73, 9149, 272, 11977, 353, 7439, 255, 30621, 556, 7311, 433, 281, 2108, 2348, 253, 313, 380, 9149, 285, 253, 10806, 289, 3381, 713, 5813, 5857, 14146, 335, 23678, 9156, 255, 21174, 13523, 66, 270, 600, 9980, 543, 4536, 3399, 453, 4211, 1175, 1199, 25383, 289, 15655, 289, 538, 86, 258, 395, 416, 2214, 543, 3958, 24175, 314, 30253, 258, 395, 416, 2214, 543, 914, 16353, 285, 4475, 12919, 14146, 255, 84, 11371, 914, 1255, 935, 375, 705, 255, 332, 725, 285, 3169, 1233, 1109, 1769, 1655, 248, 12919, 8953, 31529, 453, 15573, 270, 340, 2556, 70, 14912, 395, 276, 1288, 2449, 15178, 7998, 775, 480, 746, 649, 31297, 15273, 640, 1109, 461, 3600, 285, 253, 3265, 254, 332, 8745, 554, 15016, 9656, 3689, 32631, 8705, 255, 332, 396, 543, 18574, 341, 17615, 286, 25100, 916, 1940, 248, 1633, 272, 6207, 270, 10760, 303, 8318, 2627, 4576, 255, 344, 2556, 70, 14912, 395, 5023, 10609, 366, 253, 5163, 289, 26956, 7764, 341, 6850, 649, 332, 904, 640, 1168, 285, 5263, 543, 26319, 270, 36, 6702, 289, 14763, 19448, 433, 253, 462, 531, 80, 6504, 30886, 1168, 433, 480, 720, 8420, 721, 11714, 4414, 648, 1408, 1090, 341, 27373, 253, 267, 2349, 292, 270, 340, 26319, 543, 1798, 22848, 285, 5263, 366, 15573, 255, 772, 396, 543, 10902, 335, 519, 5125, 332, 5263, 270, 673, 543, 1305, 755, 2240, 2449, 272, 16635, 1644, 253, 267, 2349, 292, 341, 253, 26319, 289, 23049, 3743, 543, 6757, 255, 332, 705, 543, 6757, 253, 8379, 12824, 10913, 375, 1978, 8977, 473, 14725, 67, 1165, 314, 340, 8392, 906, 13487, 19720, 289, 382, 4209, 272, 400, 2742, 27931, 276, 253, 10064, 538, 16581, 25221, 3575, 16130, 45, 14924, 1978, 1498, 495, 255, 28192, 186, 340, 1959, 276, 5978, 2057, 255, 4957, 9874, 1954, 289, 253, 14580, 5263, 3318, 538, 86, 258, 395, 416, 2214, 285, 4999, 270, 2148, 64, 14589, 23, 255, 887, 2530, 28026, 64, 1623, 13, 1637, 649, 26531, 1168, 2404, 285, 20876, 253, 3769, 272, 538, 86, 258, 395, 416, 2214, 289, 276, 341, 935, 1509, 396, 253, 4088, 272, 253, 10701, 2966, 987, 279, 254, 8867, 1385, 272, 253, 9315, 26925, 255, 822, 3583, 253, 24709, 12252, 3286, 272, 14450, 395, 8745, 356, 247, 1309, 8580, 31226, 25214, 795, 465, 64, 14589, 25, 255, 344, 13269, 18400, 724, 5066, 285, 5263, 13861, 255, 10256, 248, 3004, 7989, 285, 253, 4744, 554, 2283, 270, 465, 64, 5920, 17, 255, 344, 5163, 11036, 5023, 10853, 800, 12763, 7306, 5513, 289, 253, 542, 8745, 80, 402, 4689, 2535, 733, 543, 276, 800, 257, 3306, 363, 248, 1773, 5163, 3226, 335, 5263, 314, 340, 965, 4211, 345, 538, 86, 258, 395, 416, 2214, 276, 64, 5920, 23, 255, 1144, 433, 8929, 8095, 4439, 383, 4277, 255, 3028, 10408, 433, 8318, 18955, 4498, 433, 393, 13707, 8903, 402, 16073, 5408, 453, 27599, 19800, 356, 9951, 5108, 276, 253, 7619, 272, 987, 279, 254, 1165, 542, 2369, 8572, 402, 393, 868, 250, 2448, 668, 255, 3255, 1168, 30780, 448, 253, 11534, 272, 253, 4211, 823, 14191, 366, 277, 6449, 23196, 646, 272, 8318, 5075, 2538, 255, 5936, 1624, 1026, 715, 4720, 289, 805, 11390, 12824, 329, 395, 270, 340, 9674, 543, 2136, 289, 253, 5163, 2868, 925, 11700, 1087, 289, 543, 2971, 271, 276, 25011, 75, 27798, 270, 34, 1508, 2254, 14150, 15733, 4211, 276, 9733, 64, 5920, 24, 433, 64, 728, 13, 1637, 2616, 775, 23401, 14, 10082, 7475, 4504, 264, 350, 1216, 543, 837, 8956, 433, 253, 11017, 279, 25374, 272, 253, 6449, 23196, 646, 255, 3158, 271, 433, 2659, 289, 1404, 1018, 942, 19451, 363, 267, 17216, 19235, 3868, 289, 1071, 453, 11436, 289, 743, 29292, 4620, 289, 21721, 14379, 722, 453, 3040, 898, 397, 356, 247, 1829, 253, 3040, 898, 90, 272, 8368, 611, 66, 64, 3830, 19, 255, 676, 253, 462, 2120, 80, 613, 407, 1256, 1852, 608, 5125, 7606, 1436, 768, 264, 350, 1216, 554, 2239, 15049, 24419, 4211, 345, 253, 11217, 1451, 4744, 9041, 276, 253, 7785, 2392, 272, 3763, 248, 3704, 272, 1055, 2616, 270, 1682, 7869, 248, 1956, 320, 7744, 433, 16073, 5408, 289, 543, 23111, 14403, 285, 27599, 19800, 255, 2236, 1224, 423, 9503, 285, 9931, 285, 3336, 7933, 21944, 430, 270, 1294, 24191, 359, 1724, 363, 10064, 26797, 373, 21653, 289, 10064, 8368, 611, 66, 289, 724, 13105, 1262, 253, 12111, 3068, 255, 344, 2556, 70, 14912, 395, 255, 4627, 2067, 556, 1395, 25374, 1655, 253, 7076, 272, 253, 12763, 1323, 289, 366, 4658, 1285, 1509, 1655, 3906, 285, 16448, 3939, 375, 7198, 453, 253, 22641, 254, 1165, 314, 18170, 276, 2817, 255, 47, 31327, 1168, 24665, 15573, 285, 896, 1154, 10164, 19923, 356, 484, 921, 366, 9931, 406, 1229, 253, 8458, 272, 16750, 10444, 649, 20117, 543, 8955, 285, 499, 69, 7921, 289, 543, 8452, 345, 253, 32527, 433, 27623, 23746, 332, 270, 47, 31327, 335, 68, 4824, 300, 29370, 16750, 363, 8183, 255, 247, 1460, 335, 16750, 285, 1232, 6580, 396, 285, 613, 31327, 255, 3255, 1232, 2371, 1055, 12896, 21364, 345, 253, 8318, 32527, 270, 600, 2966, 4597, 6932, 4700, 26016, 276, 538, 86, 258, 395, 416, 2214, 5045, 285, 253, 11049, 272, 16073, 5408, 13870, 345, 253, 3468, 272, 1055, 5867, 1933, 270, 2164, 64, 1623, 5620, 64, 12074, 17, 255, 344, 7123, 272, 538, 86, 258, 395, 416, 2214, 3284, 319, 1284, 289, 22410, 272, 987, 279, 254, 1165, 393, 868, 250, 2448, 668, 335, 423, 543, 2867, 363, 248, 14725, 526, 289, 461, 6410, 272, 12502, 253, 9315, 26925, 314, 340, 5620, 10611, 272, 64, 12074, 17, 8452, 2327, 366, 277, 18589, 20411, 1352, 270, 30253, 258, 395, 416, 2214, 2778, 1168, 7651, 248, 2530, 272, 806, 64, 4826, 13, 1637, 255, 332, 2607, 262, 544, 25221, 3575, 84, 255, 7548, 541, 395, 255, 7874, 838, 4546, 270, 2124, 1999, 253, 4744, 285, 476, 1168, 248, 3704, 24597, 366, 2275, 19921, 276, 253, 4674, 64, 683, 380, 3227, 270, 34, 3227, 2770, 255, 30253, 258, 395, 416, 2214, 554, 2530, 1168, 8420, 6222 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 959, 359, 11160, 3763, 650, 10096, 375, 650, 3704, 272, 849, 1372, 1285, 1603, 271, 270, 1099, 313, 253, 1618, 3443, 272, 1603, 911, 1283, 12675, 2010, 16, 11123, 911, 1283, 326, 9064, 335, 8657, 911, 1283, 326, 248, 1415, 1217, 285, 3457, 911, 10152, 945, 476, 902, 5202, 314, 52, 707, 4290, 247, 7359, 2032, 2436, 276, 1055, 3823, 270, 2080, 272, 1055, 2436, 345, 12228, 16548, 16590, 345, 3728, 4010, 272, 12628, 2344, 270, 4611, 777, 285, 326, 7228, 811, 285, 2128, 289, 811, 285, 4090, 1800, 255, 1297, 904, 285, 2128, 289, 904, 285, 12628, 986, 270, 3811, 640, 1636, 253, 3164, 272, 12228, 16548, 255, 1449, 558, 1804, 326, 1865, 285, 3622, 16548, 12749, 253, 16548, 672, 1440, 270, 52, 707, 16837, 917, 313, 929, 1461, 285, 12628, 2344, 2018, 270, 1507, 532, 2128, 3252, 867, 313, 2555, 335, 1524, 270, 1316, 1172, 2487, 285, 1636, 248, 2168, 255, 1449, 939, 965, 12628, 986, 6348, 255, 1660, 1290, 289, 4079, 755, 6348, 721, 248, 6996, 901, 270, 859, 1172, 359, 914, 6034, 697, 811, 1331, 16, 1432, 1020, 640, 12628, 1076, 356, 3309, 1603, 2002, 1485, 532, 6821, 285, 8751, 823, 1449, 558, 6649, 556, 6417, 270, 6478, 532, 6821, 285, 8751, 255, 42, 543, 7228, 285, 12628, 986, 2018, 289, 532, 543, 6034, 697, 811, 1020, 532, 12628, 1076, 270, 465, 1460, 285, 1012, 248, 991, 5694, 289, 326, 7869, 433, 248, 1415, 1603, 255, 42, 777, 285, 1939, 345, 3252, 2104, 270, 42, 1412, 16442, 253, 2143, 1253, 532, 7408, 276, 1249, 3642, 270, 42, 9502, 1197, 812, 1331, 697, 811, 285, 2128, 270, 600, 313, 253, 4708, 3559, 335, 2356, 314, 20836, 28670, 5190, 341, 3663, 289, 1524, 939, 326, 20027, 289, 3545, 448, 15257, 3074, 6344, 2370, 1172, 270, 20836, 28670, 620, 838, 785, 433, 10837, 285, 3427, 285, 248, 3708, 1684, 272, 16236, 397, 341, 2346, 3074, 2633, 255, 71, 19178, 386, 2633, 255, 13707, 14, 1620, 386, 2633, 255, 19439, 21234, 2356, 255, 247, 7461, 16236, 397, 255, 332, 705, 345, 314, 6263, 4773, 1030, 1716, 356, 27170, 406, 262, 277, 3059, 1810, 272, 3074, 28670, 903, 292, 619, 396, 620, 253, 1773, 285, 870, 16694, 375, 4193, 1785, 5492, 1936, 276, 3457, 289, 396, 409, 326, 785, 285, 6422, 289, 1817, 11091, 341, 13225, 1172, 1306, 1202, 285, 2545, 14320, 8985, 255, 9108, 255, 332, 4054, 285, 253, 1280, 276, 696, 640, 3270, 356, 36, 851, 28187, 289, 1028, 627, 72, 1386, 554, 797, 1173, 14243, 285, 21664, 20071, 3536, 24410, 11424, 359, 871, 3401, 285, 11128, 811, 26239, 409, 326, 785, 335, 3074, 10837, 285, 6435, 1172, 276, 3074, 3728, 314, 10863, 4476, 66, 987, 16255, 91, 255, 21536, 15455, 9284, 83, 91, 9458, 255, 332, 16922, 858, 452, 5471, 1789, 4378, 253, 2202, 272, 7320, 289, 18443, 276, 18001, 253, 15514, 255, 1225, 5639, 7545, 2246, 877, 8391, 23898, 22482, 991, 4225, 2625, 253, 2489, 4511, 66, 797, 10399, 3939, 263, 2106, 332, 556, 6868, 4615, 270, 1245, 4079, 26239, 1363, 248, 3074, 7320, 9481, 285, 6422, 15995, 289, 1701, 7013, 255, 20641, 289, 5010, 18443, 1363, 755, 7013, 363, 657, 272, 248, 3428, 3940, 272, 8316, 289, 7383, 632, 3080, 272, 847, 23915, 270, 1245, 32241, 13082, 811, 6712, 289, 11558, 2189, 3782, 289, 3607, 11951, 7616, 289, 253, 1323, 2273, 366, 1288, 7616, 806, 720, 314, 32288, 655, 270, 29164, 554, 21664, 1790, 9169, 20071, 3536, 26435, 276, 18564, 31429, 4274, 272, 7484, 5208, 1172, 285, 2128, 289, 1039, 7675, 8700, 433, 556, 11527, 2335, 270, 465, 1460, 285, 1039, 7675, 8700, 285, 3272, 5141, 255, 2752, 1030, 939, 326, 3583, 375, 15625, 911, 919, 285, 2076, 902, 4283, 375, 2063, 272, 1030, 911, 919, 1560, 248, 4904, 3128, 285, 2969, 253, 2129, 911, 1099, 916, 253, 1172, 326, 2216, 285, 582, 276, 1460, 285, 1879, 480, 4904, 911, 6426, 253, 901, 272, 1619, 14, 19434, 255, 6351, 724, 2178, 263, 3015, 285, 2128, 15309, 314, 46, 25469, 26239, 289, 3074, 28670, 3435, 341, 536, 2781, 811, 26239, 409, 870, 1172, 16278, 986, 453, 2593, 10741, 697, 253, 2202, 341, 1932, 289, 7545, 4445, 1585, 276, 556, 7785, 4143, 255, 13014, 4615, 255, 332, 4267, 270, 1130, 248, 5673, 3298, 1810, 255, 27170, 409, 326, 3298, 285, 3074, 28670, 314, 673, 313, 1199, 29183, 285, 1636, 453, 480, 3425, 554, 2873, 2500, 341, 5528, 356, 74, 3031, 1353, 19800, 5528, 289, 2202, 7381, 5528, 406, 2251, 5337, 285, 2553, 1524, 270, 40, 2217, 359, 461, 914, 3128, 335, 976, 270, 1245, 409, 22990, 289, 11008, 6435, 7621, 276, 253, 1524, 901, 84, 255, 332, 24341, 9701, 276, 5528, 409, 326, 14644, 285, 253, 1618, 1280, 270, 3431, 255, 23247, 20681, 1524, 289, 23578, 1880, 1012, 248, 2814, 272, 3482, 289, 359, 3904, 6507, 785, 276, 253, 4717, 356, 3032, 596, 1030, 697, 15119, 20681, 1524, 453, 876, 379, 6070, 566, 627, 25123, 554, 1854, 797, 23247, 20681, 5819, 414, 1099, 396, 313, 255, 3013, 396, 7667, 255, 332, 655, 714, 396, 554, 10585, 268, 1093, 795, 673, 4224, 844, 13459, 5528, 285, 253, 4717, 1560, 326, 277, 10902, 255, 2919, 24367, 1192, 255, 20468, 729, 4199, 285, 2356, 314, 42, 916, 652, 844, 285, 3412, 277, 4703, 566, 3248, 4482, 433, 25298, 9182, 40, 251, 330, 265, 414, 40, 8725, 409, 1039, 248, 1811, 1280, 270, 4001, 285, 9182, 40, 251, 330, 265, 255, 347, 536, 409, 1879, 9171, 289, 976, 5528, 1625, 345, 9290, 1618, 1280, 1800, 255, 581, 409, 17294, 253, 5632, 2010, 255, 10102, 289, 26446, 285, 4090, 253, 1280, 554, 10894, 1800, 289, 536, 409, 1440, 253, 1280, 314, 465, 253, 797, 13631, 253, 11549, 414, 340, 21720, 272, 11667, 276, 5828, 7117, 279, 5819, 5931, 46, 3230, 79, 599, 6055, 9555, 3510, 16149, 4096, 366, 3828, 4096, 270, 4001, 285, 253, 1030, 2843, 276, 7758, 64, 18, 255, 27463, 10677, 3574, 285, 476, 1831, 2451, 4091, 270, 3431, 255, 66, 3390, 453, 3828, 4096, 285, 16149, 4096, 11283, 3663, 289, 1524, 356, 3032, 596, 453, 26053, 655, 23021, 1054, 554, 797, 34, 9765, 5952, 414, 53, 24511, 11164, 5828, 7117, 279, 289, 6356, 3726, 11667, 802, 332, 797, 340, 14948, 335, 5828, 7117, 279, 11667, 1093, 795, 3295, 1249, 2002, 255, 3591, 5480, 272, 253, 871, 3574, 285, 326, 596, 3163, 289, 7209, 314, 1130, 277, 15402, 272, 277, 21187, 11276, 1714, 393, 13077, 2077, 255, 42, 3298, 3828, 4096, 2957, 356, 19453, 8493, 4387, 29413, 255, 12496, 14, 17428, 14068, 255, 332, 11648, 406, 332, 16149, 4096, 356, 28056, 8604, 5470, 255, 14866, 23988, 255, 332, 1247, 4697, 795, 340, 4069, 272, 253, 871, 11283, 3663, 289, 1524, 270, 3215, 22343, 255, 822, 914, 476, 3169, 2593, 4072, 2084, 11775, 3012, 4292, 289, 1774, 3303, 272, 248, 7483, 12096, 973, 720, 255, 7771, 585, 1650, 1172, 1306, 23463, 9492, 272, 2010, 289, 1249, 3663, 2260, 270, 1316, 1172, 1509, 11676, 255, 1449, 9502, 1197, 12675, 253, 2010, 1262, 272, 556, 4395, 13209, 375, 1249, 15427, 6884, 270, 3136, 532, 409, 1140, 1750, 1119, 285, 2863, 253, 2049, 5261, 270, 340, 2246, 877, 253, 720, 785, 285, 2428, 973, 1949, 289, 5995, 272, 253, 1949, 409, 3272, 1172, 1306, 8589, 276, 783, 1119, 2575, 84, 1827, 368, 720, 366, 2031, 5995, 1633, 1172, 359, 2237, 12675, 253, 2010, 255, 5681, 254, 720, 366, 2336, 375, 1350, 2031, 5995, 1633, 1172, 359, 461, 6241, 366, 253, 2010, 255, 332, 10327, 244, 23473, 366, 2336, 5995, 1633, 1172, 582, 461, 1565, 270, 41, 1336, 8604, 5470, 289, 2653, 23988, 255, 822, 359, 3128, 285, 8754, 1967, 3059, 29053, 762, 255, 21077, 255, 332, 2335, 255, 7771, 1172, 4079, 253, 2010, 285, 4090, 1618, 13259, 1800, 270, 3136, 1172, 2511, 556, 1395, 1247, 4697, 2398, 285, 556, 6417, 289, 532, 20237, 596, 697, 253, 5126, 640, 5923, 1175, 461, 1020, 6013, 276, 7483, 5187, 270, 5285, 7117, 279, 4096, 1101, 762, 3828, 4096, 1175, 396, 3962, 1249, 21722, 270, 4126, 30852, 313, 2195, 4812, 285, 1140, 248, 1811, 1119, 285, 5480, 253, 871, 335, 248, 1539, 1247, 314, 4001, 285, 3695, 9004, 335, 2064, 31514, 276, 21664, 23298, 255, 19457, 3728, 313, 797, 344, 23740, 1080, 6469, 1142, 901, 272, 11008, 289, 6670, 3254, 10359, 2344, 255, 1532, 2482, 255, 12018, 7179, 255, 27272, 84, 2344, 255, 332, 3824, 12191, 1030, 14630, 453, 255, 263, 5080, 433, 255, 8847, 4345, 255, 22651, 255, 6112, 2231, 255, 18253, 268, 255, 263, 3263, 255, 292, 248, 4359, 285, 5226, 289, 2913, 2432, 17290, 1275, 12645, 253, 3663, 272, 3074, 3728, 289, 1255, 3967, 2415, 285, 1817, 556, 3663, 7791, 270, 1507, 3074, 3728, 7228, 276, 904, 9202, 911, 1696, 811, 285, 5904, 3663, 6899, 335, 3074, 3728, 879, 465, 253, 2035, 272, 4939, 3536, 255, 1534, 313, 248, 4319, 777, 335, 2997, 2799, 255, 2470, 335, 26239, 289, 6669, 13058, 270, 42, 2128, 253, 1763, 1119, 285, 1636, 2997, 313, 248, 1949, 12807, 2023, 375, 248, 1754, 14746, 2023, 270, 3258, 272, 26239, 289, 6669, 13058, 6413, 693, 2653, 23988, 289, 19456, 1247, 4697, 285, 870, 1172, 285, 1012, 6241, 366, 2997, 15742, 255, 332, 596, 13568, 255, 864, 2022, 556, 2335, 276, 2653, 14, 3158, 271, 1619, 18009, 270, 8742, 345, 1249, 2002, 363, 248, 3663, 20222, 289, 277, 15402, 255, 6482, 2063, 272, 3671, 359, 785, 7422, 335, 2653, 23988, 270, 340, 965, 650, 313, 4558, 1172, 366, 5387, 1757, 9405, 11314, 2815, 6384, 270, 4611, 914, 777, 285, 1025, 253, 6384, 289, 5473, 253, 6543, 1350, 1655, 3728, 270, 1132, 359, 1319, 2343, 2084, 453, 1172, 1262, 640, 476, 632, 253, 1030, 270, 1507, 448, 253, 1275, 272, 253, 6413, 255, 5117, 1172, 1804, 812, 2483, 697, 253, 2997, 3164, 270, 340, 1508, 650, 313, 4558, 1172, 366, 1800, 255, 2853, 888, 289, 10750, 272, 878, 270, 4611, 777, 285, 2303, 556, 2142, 289, 878, 285, 1360, 556, 1780, 270, 673, 14259, 1172, 285, 2128, 15309, 285, 4090, 253, 1800, 270, 2124, 1172, 558, 1140, 2593, 2192, 285, 4105, 253, 4382, 289, 3971, 1415, 3303, 335, 556, 1247, 4697, 255, 772, 1021, 2165, 255, 2470, 12282, 325, 1090, 255, 17093, 8797, 345, 21817, 289, 3663, 31430, 285, 3338, 713, 1757, 433, 1757, 270, 1245, 10751, 253, 1508, 1135, 313, 1798, 2205, 289, 720, 13751, 270, 1245, 2122, 21817, 939, 1552, 1757, 9405, 11314, 6384, 453, 556, 4890, 270, 465, 942, 2162, 255, 26268, 313, 461, 2379, 270, 919, 285, 4090, 480, 24874, 2294, 1619, 879, 4061, 450, 3799, 620, 1940, 248, 3786, 289, 11377, 2057, 276, 2356, 270, 15018, 6165, 1172, 285, 2921, 28969, 375, 12665, 255, 1269, 289, 1833, 8308, 345, 973, 2165, 1833, 789, 270, 673, 313, 248, 1415, 1119, 335, 3263, 289, 7554, 3303, 270, 4611, 558, 2022, 556, 2697, 289, 9587, 2335, 366, 480, 2057, 270, 974, 26435, 6413, 375, 6413, 276, 27098, 289, 1701, 2554, 255, 27832, 3799, 255, 8980, 272, 612, 3828, 2192, 255, 4993, 5013, 1172, 1306, 8589, 270, 1452, 255, 475, 6413, 276, 2191, 2554, 942, 363, 3750, 375, 2815, 6413, 255, 42, 1746, 1197, 2128, 6663, 3799, 313, 2555, 375, 1350, 3059, 270, 1316, 3526, 1999, 285, 693, 6663, 3799, 335, 2356, 3443, 255, 1449, 939, 2128, 697, 253, 2338, 285, 693, 396, 255, 1297, 1215, 1262, 396, 313, 3786, 289, 28906, 270, 56, 270, 40, 526, 1517, 15011, 15252, 255, 25905, 542, 5543, 7822, 255, 19101, 610, 3165, 68, 1216, 255, 52, 707, 4290, 247, 289, 17025, 14822, 391, 891, 914, 16590, 345, 253, 1415, 1074, 272, 6663, 3799, 359, 632, 453, 27098, 289, 1701, 2554, 255, 42, 2128, 945, 453, 2191, 2554, 4379, 476, 902, 17087, 314, 4061, 11535, 359, 652, 785, 276, 4739, 289, 991, 1603, 270, 24084, 289, 991, 1603, 6663, 3799, 313, 844, 248, 3922, 2566, 2077, 3256, 356, 12030, 4260, 255, 13696, 3266, 255, 247, 18154, 23308, 255, 2700, 406, 864, 1552, 1030, 285, 1172, 255, 14533, 255, 25837, 1512, 255, 263, 612, 3526, 270, 5554, 28969, 672, 1540, 19649, 762, 255, 31291, 762, 255, 332, 4628, 17888, 270, 4611, 409, 693, 28969, 285, 1911, 1967, 5126, 289, 285, 5879, 366, 556, 3526, 270, 16453, 409, 693, 28969, 285, 1290, 904, 313, 9448, 276, 253, 1247, 270, 340, 2946, 6287, 1825, 1175, 532, 881, 461, 2452, 2572, 2379, 375, 461, 270, 3651, 253, 1972, 390 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1316, 2653, 11822, 7492, 538, 955, 254, 554, 2484, 11186, 285, 1012, 800, 1754, 697, 2095, 11395, 1582, 6056, 6959, 345, 253, 5617, 255, 264, 11576, 248, 29888, 25195, 270, 340, 4377, 255, 252, 253, 2268, 272, 608, 327, 560, 13118, 276, 27234, 255, 9906, 277, 16229, 966, 272, 6439, 345, 253, 4161, 2677, 2750, 730, 64, 728, 13, 1637, 2677, 247, 248, 9763, 4411, 2429, 270, 20024, 751, 713, 5123, 916, 476, 3022, 248, 935, 255, 35, 955, 254, 3992, 314, 32242, 1110, 255, 1449, 1168, 870, 414, 66, 4411, 8543, 449, 4910, 1810, 17231, 433, 8307, 6973, 356, 10371, 823, 8517, 532, 6816, 15, 4266, 270, 3720, 248, 64, 4826, 3665, 14, 4066, 14, 2787, 5848, 272, 248, 11724, 554, 1619, 255, 263, 253, 11133, 272, 277, 3989, 1854, 255, 344, 24295, 2566, 3171, 7767, 248, 4904, 272, 6828, 272, 11409, 6589, 255, 4163, 1080, 20208, 433, 4161, 270, 340, 1528, 255, 35, 955, 254, 3992, 255, 14792, 797, 66, 2782, 289, 26522, 5806, 9410, 272, 904, 939, 326, 3973, 285, 248, 1953, 1251, 1949, 10560, 42, 6816, 15, 4266, 313, 2370, 248, 326, 16797, 272, 892, 6195, 2566, 2939, 2957, 11518, 9866, 14600, 272, 253, 2010, 7712, 270, 5432, 2957, 1540, 253, 3786, 15905, 5807, 8732, 255, 14633, 433, 253, 5530, 258, 4975, 335, 28132, 16176, 276, 4037, 6702, 255, 17660, 255, 332, 12326, 22309, 270, 3206, 973, 1810, 9135, 248, 1661, 25191, 255, 1449, 632, 1552, 4377, 366, 248, 902, 1900, 448, 253, 3473, 4411, 730, 582, 6335, 2957, 942, 363, 12299, 4600, 289, 5959, 8732, 270, 3278, 359, 7569, 3498, 285, 19625, 3989, 3473, 16544, 270, 1696, 783, 255, 1639, 26157, 9141, 6860, 877, 4471, 255, 2251, 1350, 2122, 892, 16544, 335, 21182, 5470, 314, 5432, 2957, 1552, 797, 5524, 6789, 7393, 20207, 1030, 20689, 5931, 7100, 608, 74, 886, 2150, 74, 3366, 656, 18876, 255, 66, 1251, 878, 11822, 448, 253, 2489, 260, 566, 913, 4975, 276, 10839, 255, 3255, 1996, 2450, 24699, 1780, 272, 18206, 13496, 270, 20799, 6335, 2957, 718, 7607, 363, 17005, 18985, 255, 10371, 2566, 3909, 409, 3703, 248, 596, 10642, 8341, 1892, 272, 253, 4411, 255, 5129, 656, 18876, 3992, 314, 2318, 2322, 255, 3470, 2957, 359, 1412, 7812, 255, 332, 3562, 433, 253, 5650, 272, 253, 3473, 4411, 640, 2939, 3275, 1245, 359, 461, 7066, 285, 2286, 360, 277, 32000, 2939, 2106, 7100, 6946, 91, 30955, 579, 715, 422, 255, 260, 3806, 14, 6452, 31416, 4852, 448, 11525, 4344, 2268, 276, 452, 1473, 1885, 255, 3255, 620, 3241, 248, 4427, 2429, 345, 15905, 5807, 8732, 356, 52, 270, 39, 715, 422, 876, 270, 4600, 270, 45, 451, 270, 4864, 431, 270, 11746, 255, 16486, 1469, 18531, 649, 993, 25, 795, 2124, 255, 475, 1123, 2859, 505, 7066, 285, 1012, 360, 3722, 13055, 725, 345, 248, 4161, 255, 822, 313, 2096, 640, 939, 326, 785, 276, 12979, 366, 612, 2957, 6113, 35, 955, 254, 20057, 4301, 480, 26016, 5502, 4061, 569, 315, 1018, 818, 1251, 2807, 4997, 1197, 2428, 1255, 1949, 6488, 2432, 16226, 2554, 285, 7128, 186, 10371, 2566, 1472, 15896, 24543, 391, 1306, 505, 3059, 1262, 253, 3473, 4411, 313, 705, 7301, 270, 2148, 650, 6200, 255, 2723, 6439, 359, 3729, 8968, 448, 248, 2087, 272, 64, 18, 3659, 973, 935, 2677, 1554, 554, 650, 1255, 64, 1428, 6215, 270, 673, 313, 21112, 7476, 335, 3498, 285, 1927, 725, 255, 2919, 276, 556, 1395, 7573, 12607, 270, 1611, 255, 3591, 6464, 285, 13743, 753, 244, 645, 253, 7926, 314, 340, 6959, 1323, 268, 942, 2957, 3867, 1315, 871, 2975, 2677, 1449, 5449, 3473, 2143, 289, 1552, 4919, 2955, 255, 1458, 363, 17466, 255, 4153, 756, 289, 24255, 2939, 1528, 270, 1345, 22942, 30515, 3473, 2143, 1412, 19885, 2191, 1952, 4006, 356, 47, 16526, 406, 10579, 2858, 255, 822, 6464, 285, 4113, 1952, 363, 3857, 693, 396, 255, 5129, 656, 18876, 7783, 270, 9058, 391, 409, 693, 29231, 3836, 1524, 255, 475, 1123, 2677, 822, 4704, 1472, 22160, 3799, 1306, 290, 781, 255, 1458, 363, 248, 1854, 554, 4220, 289, 9654, 255, 247, 2799, 4753, 285, 5304, 6959, 285, 2595, 289, 5449, 713, 314, 1283, 1552, 596, 14150, 8989, 2955, 255, 265, 22942, 1412, 4041, 1472, 13962, 11466, 1306, 1554, 2317, 4445, 877, 253, 12877, 11881, 289, 1223, 713, 285, 3499, 270, 974, 1123, 255, 344, 6195, 1109, 2122, 341, 248, 2682, 289, 248, 3315, 359, 2398, 861, 640, 2539, 5874, 276, 253, 1112, 5779, 3275, 340, 2010, 2854, 2178, 3311, 480, 363, 277, 8011, 2246, 276, 248, 4598, 255, 332, 461, 1215, 276, 248, 5779, 345, 248, 3312, 255, 32410, 2576, 396, 3836, 27801, 2106, 5129, 656, 18876, 3992, 314, 42, 6816, 15, 4266, 3337, 248, 902, 2023, 255, 5129, 656, 18876, 5593, 255, 7917, 268, 6589, 721, 5126, 3388, 433, 253, 1909, 640, 693, 270, 42, 6816, 15, 4266, 773, 88, 4767, 253, 400, 19899, 4788, 255, 66, 2939, 544, 4598, 272, 596, 730, 64, 17684, 3659, 1994, 14, 10334, 6439, 255, 292, 1020, 363, 14846, 285, 696, 253, 2440, 554, 7273, 2421, 1809, 270, 340, 1810, 833, 1929, 1464, 6959, 285, 1879, 1472, 25752, 24749, 84, 1306, 1554, 3272, 2285, 14, 398, 487, 9804, 255, 822, 359, 1232, 785, 285, 10777, 6439, 3675, 285, 13637, 255, 7100, 532, 6816, 15, 4266, 14237, 2325, 18872, 987, 2112, 22723, 23614, 1225, 314, 340, 943, 313, 248, 4904, 272, 2398, 6439, 255, 772, 6619, 253, 3344, 6191, 285, 6726, 1288, 1528, 433, 8316, 16544, 12147, 276, 973, 1854, 363, 1020, 270, 673, 313, 652, 3504, 248, 5140, 255, 16597, 12519, 2566, 5119, 1747, 7742, 416, 74, 334, 255, 822, 14453, 285, 693, 6195, 285, 2806, 1255, 3157, 272, 248, 1251, 1854, 2215, 612, 3473, 6589, 255, 6317, 4008, 751, 16544, 314, 5129, 656, 18876, 3992, 341, 2957, 942, 363, 532, 6816, 15, 4266, 2677, 10063, 335, 3012, 14386, 255, 772, 1770, 268, 24554, 272, 4102, 32067, 643, 13, 1637, 356, 3475, 5, 2253, 13, 1637, 406, 66, 935, 335, 18555, 1809, 255, 822, 2829, 596, 6861, 86, 2457, 17844, 2677, 2251, 17262, 3498, 1306, 21010, 721, 892, 4497, 3275, 673, 19896, 3634, 9991, 272, 253, 4411, 276, 248, 4894, 276, 696, 532, 7782, 13183, 753, 6241, 2106, 249, 3992, 314, 31294, 9439, 8432, 7352, 721, 556, 1395, 2384, 781, 1560, 1999, 2072, 6195, 23397, 2957, 942, 363, 12326, 22309, 375, 15905, 5807, 8732, 255, 5129, 656, 18876, 5190, 270, 4514, 2011, 4420, 313, 525, 24675, 255, 66, 1810, 5174, 3012, 693, 313, 2072, 1175, 696, 3793, 285, 2939, 289, 19602, 7654, 289, 12578, 878, 255, 292, 1020, 363, 285, 1809, 878, 1018, 253, 32368, 525, 24675, 13618, 8374, 1683, 37, 24675, 313, 2966, 433, 2325, 6911, 12427, 3862, 255, 4297, 483, 433, 253, 10723, 21009, 1860, 247, 1167, 22090, 6675, 255, 822, 652, 620, 248, 5405, 3412, 276, 10305, 554, 22707, 5518, 21355, 5807, 8732, 620, 248, 10289, 2566, 2939, 3176, 341, 6804, 14054, 752, 11620, 942, 363, 5959, 270, 1507, 396, 3815, 596, 1030, 730, 5959, 8732, 285, 870, 6824, 285, 23141, 1528, 255, 5129, 656, 18876, 3992, 270, 2318, 2845, 15103, 12899, 255, 5885, 752, 942, 363, 878, 4753, 289, 2142, 255, 332, 253, 3354, 26071, 276, 696, 1771, 313, 12969, 3275, 42, 543, 1199, 18064, 285, 1140, 341, 640, 652, 7433, 10473, 21072, 2106, 5129, 656, 18876, 10353, 2677, 1458, 363, 799, 248, 1135, 375, 2946, 313, 705, 1020, 4546, 341, 3498, 1746, 1197, 3427, 285, 800, 5200, 314, 37, 30865, 23174, 14515, 255, 21355, 5807, 8732, 554, 2147, 10658, 255, 7100, 341, 650, 3659, 945, 693, 253, 3171, 973, 2396, 270, 21355, 5807, 8732, 2965, 613, 16526, 285, 5449, 1030, 1894, 9105, 3519, 6860, 285, 2762, 2572, 1030, 313, 3973, 289, 837, 13341, 255, 28296, 14515, 3992, 270, 673, 409, 2595, 1602, 14, 868, 1884, 6860, 255, 1458, 363, 18353, 276, 2653, 2554, 341, 359, 3973, 285, 11691, 8683, 255, 249, 10353, 255, 332, 396, 409, 870, 285, 2595, 8093, 5111, 1800, 375, 1156, 16544, 285, 19625, 375, 565, 8469, 270, 14907, 255, 21355, 5807, 8732, 20671, 596, 730, 64, 2055, 3659, 6589, 453, 2653, 289, 25483, 2554, 255, 332, 800, 23286, 313, 4319, 255, 7100, 23174, 14515, 3275, 19344, 255, 581, 8388, 844, 285, 11141, 632, 4988, 2010, 2432, 974, 612, 2957, 255, 1458, 363, 14963, 5657, 453, 253, 4666, 25562, 10813, 13572, 356, 3528, 18074, 406, 247, 2465, 17764, 7822, 255, 15067, 255, 9325, 13657, 878, 359, 248, 596, 3884, 6646, 270, 1130, 14237, 9807, 272, 25562, 7898, 10813, 255, 260, 16244, 18074, 7854, 255, 16589, 599, 2550, 1498, 8102, 285, 1039, 253, 878, 5954, 7832, 4790, 285, 1140, 289, 25679, 369, 270, 10869, 5657, 3965, 1852, 1416, 721, 7832, 289, 556, 4009, 454, 285, 1567, 5689, 3359, 3437, 276, 277, 4562, 255, 1458, 363, 1324, 5760, 255, 1527, 261, 375, 7673, 270, 673, 1232, 2829, 3498, 285, 8760, 1288, 4445, 255, 27081, 6439, 341, 2241, 253, 1949, 270, 974, 4040, 255, 14037, 268, 11215, 7107, 7272, 1836, 7681, 32, 1306, 1220, 6991, 261, 5170, 6439, 276, 696, 253, 797, 23976, 562, 272, 7272, 356, 78, 1624, 8440, 406, 251, 7681, 356, 78, 1624, 8440, 406, 262, 4651, 10560, 10869, 5657, 313, 448, 277, 2240, 3872, 255, 45, 2550, 1498, 3992, 255, 10056, 5080, 248, 2010, 2854, 11843, 64, 643, 13, 1637, 5470, 341, 724, 14048, 1105, 483, 1305, 253, 13335, 901, 335, 11902, 64, 18, 13, 1637, 5664, 270, 340, 2925, 1810, 313, 4733, 3562, 285, 8760, 268, 480, 878, 1031, 255, 772, 599, 2550, 1498, 289, 1055, 9038, 359, 2799, 3836, 19001, 6959, 345, 396, 270, 340, 14963, 5657, 2484, 313, 652, 2552, 345, 248, 7445, 26347, 31204, 4169, 272, 253, 1810, 366, 277, 20043, 26347, 761, 24601, 4498, 433, 6117, 5602, 6559, 5237, 20919, 599, 983, 364, 448, 610, 4361, 954, 85, 2268, 276, 24295, 270, 8759, 316, 1529, 255, 42, 10166, 655, 27199, 3548, 276, 21314, 255, 29973, 255, 2150, 9295, 276, 9434, 341, 396, 558, 10189, 800, 6195, 366, 779, 11354, 878, 453, 30611, 5642, 10305, 285, 870, 23201, 6179, 285, 5665, 6012, 1683, 14501, 554, 6109, 2484, 313, 9807, 1588, 4726, 272, 800, 22707, 5518, 9386, 1288, 2623, 282, 756, 345, 7006, 5085, 359, 253, 11902, 64, 643, 6392, 272, 516, 428, 85, 395, 255, 7377, 276, 17316, 250, 26730, 255, 344, 18859, 270, 34, 11185, 24336, 553, 255, 3255, 897, 1834, 18678, 516, 428, 85, 395, 255, 23723, 341, 253, 3344, 32476, 2957, 285, 3743, 289, 13224, 6638, 255, 18643, 335, 23748, 254, 289, 2682, 1938, 2234, 7165, 289, 14123, 255, 475, 7937, 423, 1822, 461, 26714, 314, 38, 428, 85, 395, 2965, 613, 16526, 285, 4113, 1251, 6439, 255, 772, 480, 313, 5935, 285, 253, 64, 971, 14, 10388, 25483, 1503, 733, 837, 17908, 1871, 396, 27167, 270, 1283, 1290, 713, 255, 344, 1810, 15179, 345, 253, 1021, 1472, 1390, 3380, 435, 2677, 1554, 313, 255, 25832, 18085, 8937, 2677, 1554, 1372, 4377, 476, 2966, 285, 5665, 289, 3622, 4292, 276, 556, 2168, 1964, 314, 26506, 553, 11769, 433, 12535, 335, 248, 968, 11794, 3315, 1747, 400, 57, 6811, 1551, 270, 26093, 253, 5485, 7854, 1567, 359, 6617, 942, 363, 1472, 3350, 17318, 2716, 1306, 263, 1472, 69, 16169, 8034, 340, 4772, 6028, 1331, 844, 5959, 8732, 375, 12299, 4600, 448, 480, 3872, 255, 1229, 277, 12094, 1567, 272, 1528, 270, 1507, 13919, 345, 248, 7175, 11761, 4173, 7418, 270, 6913, 268, 1472, 1527, 261, 6495, 475, 4040, 255, 29320, 84, 725, 248, 1567, 272, 253, 4937, 2273, 366, 400, 57, 6811, 1551, 255, 12471, 271, 433, 811, 1021, 13496, 4506, 713, 649, 12813, 5473, 9404, 725, 15810, 30658, 6860, 877, 400, 57, 6811, 1551, 289, 612, 4937, 314, 10840, 448, 253, 3291, 28100, 2268, 8217, 12876, 356, 45, 9139, 36, 406, 247, 253, 18859, 476, 2282, 341, 480, 2023, 409, 6580, 892, 16544, 255, 27081, 10319, 4028, 341, 3989, 4705, 1560, 1299, 270, 340, 2484, 4230, 800, 1528, 448, 253, 15905, 5807, 6375, 16083, 289, 17823, 335, 3548, 8487, 289, 8409, 8568, 7046, 276, 14418, 276, 9987, 64, 993, 24, 270, 1245, 476, 652, 785, 516, 428, 85, 395, 285, 2595, 4512, 21254, 1592, 1889, 276, 248, 16699, 5510, 1747, 477, 4188, 27207, 67, 12972, 448, 1064, 646, 1697, 64, 20, 356, 45, 270, 1283, 251, 258, 2017, 382, 270, 28369, 270, 16193, 15595, 8495, 270, 1551, 255, 3841, 649, 993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37, 11139, 18810, 7179, 414, 7940, 69, 3548, 186, 55, 4024, 2475, 7567, 4344, 12479, 386, 186, 28577, 30251, 1095, 289, 10145, 1807, 313, 1331, 596, 1770, 17690, 730, 9538, 1936, 270, 34, 1020, 25443, 271, 30251, 1095, 1705, 32372, 3139, 2392, 255, 570, 4886, 272, 892, 1807, 289, 2392, 272, 2413, 4569, 2033, 285, 1807, 270, 340, 1763, 1705, 335, 10440, 248, 991, 10602, 1095, 4469, 335, 253, 30251, 345, 277, 1430, 4958, 558, 1267, 253, 693, 289, 11846, 272, 277, 3163, 4069, 272, 253, 905, 1557, 30251, 1095, 3164, 289, 4764, 314, 17903, 2374, 6955, 248, 6318, 2202, 276, 253, 1480, 289, 5415, 272, 277, 2379, 1095, 1705, 270, 17903, 2189, 272, 248, 1807, 359, 1288, 4091, 272, 253, 4076, 255, 21876, 289, 14993, 356, 25033, 6800, 406, 1554, 5879, 285, 5337, 285, 253, 1480, 272, 253, 1807, 270, 340, 1608, 2374, 2049, 7642, 335, 755, 2037, 5725, 289, 9135, 363, 253, 7660, 335, 253, 15398, 289, 2769, 272, 1447, 3957, 356, 4065, 64, 18, 1436, 4065, 64, 18, 270, 17903, 2374, 7642, 335, 1608, 2189, 255, 822, 359, 5725, 877, 253, 4076, 255, 10875, 11838, 289, 253, 1632, 341, 5337, 285, 1480, 272, 248, 1807, 270, 17903, 2374, 652, 9135, 363, 253, 7660, 335, 9927, 289, 8237, 1447, 3957, 335, 253, 1807, 314, 15340, 1608, 2189, 186, 340, 1021, 3752, 1608, 2189, 1540, 30628, 255, 9965, 255, 1296, 255, 84, 676, 255, 1111, 8314, 289, 1874, 2260, 255, 3669, 2260, 255, 332, 2530, 5088, 270, 1294, 1608, 2189, 409, 476, 1213, 1580, 289, 10473, 1980, 270, 13727, 1936, 1418, 596, 14993, 285, 8577, 276, 277, 1632, 255, 822, 3962, 13695, 289, 16377, 253, 1115, 272, 1807, 5010, 285, 253, 3095, 276, 341, 1632, 270, 340, 1980, 272, 4402, 255, 10803, 255, 19217, 16982, 289, 10196, 5888, 23528, 2688, 341, 4607, 611, 253, 3095, 1306, 14066, 2669, 289, 3962, 253, 3095, 1306, 84, 398, 946, 2140, 285, 1807, 314, 16698, 3116, 1608, 2189, 186, 16698, 3116, 1608, 2189, 1540, 800, 2207, 18524, 4091, 356, 1202, 285, 1783, 1807, 823, 383, 793, 10062, 272, 3822, 356, 17732, 272, 253, 18717, 823, 14317, 272, 253, 11307, 285, 696, 253, 3806, 313, 5800, 289, 4951, 272, 5949, 270, 13606, 255, 66, 18717, 2992, 248, 8385, 1807, 255, 772, 2207, 18524, 672, 4496, 877, 12229, 272, 253, 1807, 6920, 366, 650, 8672, 7233, 248, 596, 3931, 1115, 272, 1807, 270, 340, 2508, 272, 248, 18717, 285, 3465, 453, 3806, 285, 3806, 652, 409, 4496, 366, 12229, 270, 55, 2313, 1016, 672, 326, 2379, 2215, 650, 1829, 8672, 272, 277, 6920, 1175, 461, 2215, 248, 902, 8672, 270, 18786, 253, 13539, 272, 3822, 375, 253, 2300, 272, 253, 18717, 289, 4951, 272, 5949, 409, 5303, 276, 831, 5693, 1447, 3957, 314, 41, 513, 1608, 2189, 186, 41, 513, 1608, 2189, 1540, 253, 3806, 554, 15702, 255, 14066, 289, 13069, 4469, 255, 332, 2163, 448, 3822, 270, 5129, 513, 4810, 255, 344, 965, 5943, 248, 14725, 7063, 255, 15499, 10756, 2215, 1354, 4028, 272, 25393, 1378, 1416, 270, 340, 1115, 272, 776, 513, 1398, 14207, 276, 248, 25393, 1378, 71, 313, 248, 2028, 23856, 272, 1213, 3837, 285, 289, 6207, 272, 755, 4028, 314, 9330, 15690, 9031, 4028, 341, 1783, 16246, 359, 1354, 276, 892, 4794, 2024, 2033, 285, 991, 21297, 448, 248, 2816, 2163, 1175, 359, 18965, 276, 4832, 3095, 1262, 21297, 10357, 366, 2163, 270, 1452, 255, 3591, 1115, 272, 1807, 5010, 313, 2195, 1309, 270, 4065, 64, 19, 26976, 253, 2049, 272, 1807, 3837, 9118, 5010, 270, 1130, 1114, 363, 253, 1115, 272, 3837, 313, 9030, 1861, 253, 1115, 272, 5010, 255, 25033, 313, 12199, 285, 1672, 356, 4065, 64, 19, 34, 795, 1316, 253, 3837, 1115, 11758, 2151, 253, 5010, 1115, 255, 344, 1608, 272, 1807, 313, 991, 356, 4065, 64, 19, 35, 795, 340, 1608, 272, 1807, 313, 652, 991, 799, 253, 5010, 1115, 16713, 1861, 253, 3837, 1115, 356, 4065, 64, 19, 36, 795, 1316, 4112, 3837, 289, 2650, 5010, 1672, 448, 253, 1112, 720, 356, 4065, 64, 19, 37, 823, 21548, 359, 448, 3617, 1608, 289, 1807, 22244, 359, 2237, 270, 340, 1763, 1575, 3844, 313, 799, 253, 3837, 1115, 313, 8286, 1894, 255, 252, 253, 1112, 720, 255, 344, 5010, 1115, 313, 24082, 356, 4065, 64, 19, 38, 1436, 1294, 21182, 4797, 359, 785, 285, 852, 255, 17988, 289, 3646, 277, 2379, 1095, 1705, 270, 9709, 366, 486, 22667, 285, 4550, 248, 15013, 8185, 289, 2374, 3897, 1625, 345, 253, 11994, 289, 1869, 272, 1661, 4028, 276, 486, 1666, 270, 22520, 248, 1661, 1807, 1619, 15767, 255, 29748, 3747, 939, 3705, 625, 270, 17646, 8283, 313, 1687, 285, 14315, 4028, 341, 1783, 16246, 255, 81, 10676, 9834, 255, 378, 8530, 255, 4954, 20693, 289, 7769, 3139, 270, 3403, 22667, 409, 870, 360, 2762, 253, 11469, 272, 3634, 289, 2135, 5595, 4246, 5457, 341, 558, 13225, 4232, 2215, 253, 1967, 4028, 314, 3737, 255, 30122, 4182, 289, 4759, 22022, 1447, 255, 7377, 345, 486, 1666, 255, 475, 973, 272, 253, 2413, 6211, 270, 27820, 253, 1115, 272, 9377, 31807, 882, 6523, 273, 25066, 7262, 335, 4182, 18750, 289, 3966, 7932, 272, 3095, 335, 4759, 18750, 255, 332, 16726, 253, 1705, 363, 2635, 270, 8167, 3952, 4490, 1253, 2199, 534, 5813, 2560, 428, 313, 799, 273, 25066, 4809, 1366, 905, 6804, 14108, 21493, 12453, 356, 344, 966, 272, 21332, 276, 253, 3806, 1436, 4065, 64, 19, 270, 1130, 1114, 363, 253, 1115, 272, 1807, 3837, 313, 9030, 1861, 253, 1115, 272, 1807, 5010, 255, 25033, 313, 12199, 285, 1672, 314, 3278, 2374, 255, 17803, 289, 12040, 2189, 476, 248, 11550, 937, 345, 253, 1095, 272, 253, 2816, 1378, 71, 270, 4284, 556, 965, 2032, 3385, 255, 4124, 1416, 359, 905, 12185, 285, 14315, 4028, 272, 253, 11374, 289, 9073, 9031, 84, 270, 8167, 64, 3328, 2479, 272, 253, 8214, 272, 15459, 3095, 1319, 730, 64, 18, 935, 2218, 3969, 1305, 253, 965, 2396, 272, 1372, 314, 36, 2675, 1095, 6401, 366, 621, 2079, 364, 14725, 1565, 270, 1173, 8382, 3908, 1784, 356, 29748, 272, 3952, 4490, 406, 262, 2555, 335, 253, 14725, 285, 28044, 813, 1408, 18373, 289, 5048, 4982, 1943, 272, 10756, 276, 776, 513, 4810, 285, 2877, 253, 1378, 71, 270, 21323, 1934, 324, 4246, 5457, 1552, 8382, 5553, 1208, 289, 5013, 776, 513, 1398, 12448, 1943, 270, 1316, 10520, 696, 4246, 5457, 285, 2286, 255, 9108, 818, 1661, 1095, 1800, 1309, 345, 253, 15459, 270, 3737, 255, 14326, 275, 6878, 1932, 335, 5338, 289, 4980, 1932, 335, 17203, 1392, 359, 2555, 285, 6980, 14725, 1095, 1305, 3908, 1934, 324, 1565, 270, 3197, 2452, 973, 14725, 620, 448, 2082, 64, 1428, 6805, 272, 275, 6878, 1932, 289, 64, 1504, 3756, 4020, 272, 4980, 1932, 314, 27820, 22508, 1305, 253, 1378, 1340, 901, 289, 870, 799, 2635, 270, 859, 281, 31782, 267, 611, 359, 785, 335, 1378, 1340, 255, 84, 260, 3138, 313, 253, 5481, 10112, 270, 5973, 253, 281, 31782, 267, 611, 3156, 289, 3908, 270, 34, 4980, 939, 326, 785, 433, 650, 3806, 448, 248, 720, 289, 1349, 326, 19807, 289, 565, 4954, 1421, 877, 973, 693, 270, 27533, 369, 281, 31782, 267, 611, 453, 612, 267, 611, 289, 3095, 255, 332, 693, 713, 914, 335, 1378, 1340, 270, 2522, 461, 3569, 8740, 3095, 276, 253, 281, 31782, 267, 611, 314, 6549, 2577, 8597, 785, 335, 1378, 1340, 939, 326, 1020, 1503, 14238, 289, 6013, 366, 7514, 289, 939, 1552, 4232, 453, 253, 5316, 255, 1458, 363, 2543, 6398, 84, 289, 15289, 270, 56, 308, 375, 281, 7648, 90, 1964, 939, 326, 273, 3624, 285, 2071, 22508, 453, 3137, 264, 1644, 375, 1378, 1340, 276, 755, 1964, 270, 1283, 2587, 25436, 22615, 276, 253, 281, 31782, 8597, 255, 31766, 3095, 276, 713, 335, 253, 20484, 1575, 720, 314, 37, 577, 253, 25393, 1378, 71, 554, 16767, 535, 10569, 276, 64, 24, 2479, 22805, 5346, 1253, 4440, 270, 1130, 5036, 363, 1575, 1253, 4440, 255, 16502, 369, 253, 1378, 71, 453, 253, 14725, 289, 1741, 396, 276, 248, 3156, 255, 16929, 255, 69, 3114, 7266, 1632, 270, 27083, 1378, 1416, 14353, 276, 304, 323, 3277, 448, 2082, 64, 21, 4020, 7425, 255, 263, 276, 2424, 276, 248, 1020, 1503, 14238, 4980, 270, 859, 253, 1378, 1416, 359, 6777, 271, 276, 2424, 255, 4789, 1214, 939, 476, 929, 596, 730, 64, 25, 285, 64, 728, 3095, 272, 2011, 2163, 335, 253, 965, 2032, 4490, 272, 2163, 314, 4862, 1416, 939, 4475, 64, 728, 2479, 272, 1352, 2353, 272, 991, 10602, 776, 513, 4810, 1363, 253, 965, 64, 1058, 2954, 272, 1372, 414, 7126, 64, 18, 26437, 335, 10723, 8168, 1378, 1416, 289, 64, 20, 635, 11798, 335, 24682, 1378, 1416, 270, 25846, 255, 344, 1378, 71, 939, 4475, 64, 19, 635, 11798, 272, 776, 513, 4810, 1363, 64, 18, 5670, 272, 4440, 289, 277, 3232, 64, 19, 635, 11798, 1363, 253, 2381, 64, 23, 285, 64, 25, 2954, 270, 859, 480, 313, 461, 1575, 255, 14460, 253, 1378, 71, 253, 2450, 1844, 448, 253, 3634, 9293, 270, 34, 1378, 71, 341, 12022, 253, 2450, 1844, 672, 461, 1599, 285, 7575, 448, 253, 2381, 9293, 64, 1058, 2954, 2770, 270, 340, 25253, 939, 461, 2868, 480, 9293, 1175, 9739, 1750, 64, 1058, 2954, 255, 2446, 248, 7301, 5405, 272, 1378, 1416, 10390, 7575, 314, 27820, 776, 513, 4810, 2260, 285, 2737, 341, 25393, 1378, 1416, 359, 7923, 991, 10602, 776, 513, 4810, 270, 26995, 1128, 1943, 276, 776, 513, 4810, 453, 4832, 22508, 359, 11675, 2031, 730, 453, 965, 2748, 460, 312, 22508, 270, 34, 776, 513, 420, 4024, 313, 277, 6595, 7231, 335, 7428, 776, 513, 4810, 2260, 270, 1316, 1018, 253, 776, 513, 420, 4024, 255, 6795, 2452, 253, 776, 513, 4810, 313, 448, 4179, 2330, 314, 11632, 6852, 409, 2626, 248, 15259, 12825, 513, 4810, 6526, 366, 776, 513, 4810, 453, 11671, 22508, 276, 1576, 991, 10602, 776, 513, 4810, 313, 32630, 270, 1452, 255, 14318, 4028, 409, 326, 10093, 276, 776, 513, 4810, 270, 340, 4028, 272, 2028, 6646, 359, 876, 2690, 798, 554, 356, 24627, 9295, 797, 58, 80, 13664, 798, 261, 13691, 25033, 289, 275, 32367, 13213, 2385, 356, 11438, 55, 795, 3811, 277, 3806, 313, 7669, 366, 2518, 272, 755, 4028, 255, 264, 4592, 7669, 335, 1372, 270, 1132, 313, 929, 7876, 289, 929, 1778, 335, 755, 4028, 270, 1611, 255, 4124, 1416, 939, 461, 4475, 776, 513, 4810, 453, 22508, 1724, 285, 326, 2451, 335, 876, 2690, 798, 554, 375, 23928, 55, 314, 4284, 253, 965, 2396, 272, 1372, 255, 344, 905, 1354, 1783, 272, 23381, 289, 3139, 313, 1378, 71, 651, 2134, 356, 5937, 12671, 795, 9330, 14993, 255, 1758, 516, 270, 19194, 255, 7551, 14110, 255, 8057, 251, 14110, 255, 13489, 31723, 255, 68, 10291, 322, 646, 289, 12458, 395, 1814, 322, 646, 255, 27505, 1378, 71, 651, 2134, 270, 3206, 755, 6800, 409, 326, 1309, 935, 32294, 255, 68, 2675, 651, 2134, 409, 1940, 248, 1737, 1619, 775, 1936, 272, 10196, 5888, 255, 23300, 2688, 255, 247, 14326, 8918, 289, 4256, 30628, 270, 29263, 313, 1774, 270, 34, 1313, 373, 369, 991, 10602, 8918, 289, 3156, 255, 16929, 255, 69, 3114, 7266, 11450, 359, 2521, 3351, 272, 248, 7876, 1705, 270, 18224, 20535, 289, 1778, 3957, 672, 326, 2216, 276, 783, 5259, 314, 15240, 1378, 1416, 3610, 285, 1940, 2254, 289, 5773, 596, 1305, 4402, 255, 29153, 255, 9965, 90, 5316, 270, 465, 248, 4402, 1632, 255, 4124, 1416, 1306, 5645, 5312, 1606, 3747, 359, 1331, 2031, 255, 549, 556, 3203, 939, 326, 10272, 270, 340, 11148, 1889, 409, 1540, 2958, 2964, 2143, 272, 253, 5943, 4616, 13468, 375, 6299, 1750, 9293, 285, 253, 3821, 8185, 270, 4862, 1416, 11016, 5943, 4616, 407, 391, 366, 1319, 730, 64, 643, 2479, 2964, 359, 448, 2898, 1608, 1305, 253, 6552, 3385, 255, 347, 6777, 271, 276, 248, 4402, 1632, 270, 15240, 1378, 1416, 1349, 326, 14063, 345, 248, 3152, 3468, 255, 332, 253, 1844, 272, 4792, 3203, 939, 326, 12480, 285, 3935, 1606, 1943, 1305, 4402, 1936, 270, 15240, 1378, 1416, 939, 326, 7744, 248, 10088, 1378, 71, 5296, 368, 289, 1071, 363, 2240, 363, 64, 18, 3425, 272, 2163, 285, 1959, 253, 11022, 5088, 272, 253, 2468, 3203, 1655, 32705, 5943, 651, 2134, 314, 5397, 1156, 1095, 14, 19021, 3897, 341, 939, 326, 7152, 1305, 253 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1130, 7077, 2163, 255, 1449, 359, 596, 13723, 285, 3964, 311, 8301, 289, 275, 8301, 270, 2080, 272, 253, 1354, 2063, 272, 275, 8301, 359, 7935, 7167, 255, 4629, 4034, 1747, 10271, 9234, 270, 2447, 253, 2285, 797, 85, 364, 626, 802, 84, 2601, 248, 3783, 30169, 255, 85, 364, 626, 359, 3322, 2283, 84, 272, 8210, 3820, 270, 14624, 573, 9234, 359, 2340, 19782, 255, 332, 582, 461, 3465, 285, 612, 2731, 272, 253, 1352, 356, 3350, 567, 292, 986, 823, 7485, 20121, 9234, 896, 1154, 2406, 3820, 289, 409, 3465, 285, 612, 2731, 272, 253, 1352, 270, 1130, 366, 905, 10271, 9234, 345, 7077, 255, 20560, 7167, 1746, 1197, 476, 248, 2132, 1783, 649, 1527, 7010, 255, 30258, 2227, 255, 21876, 255, 332, 3203, 632, 409, 476, 783, 3782, 345, 556, 1480, 270, 465, 480, 2357, 255, 581, 3738, 4482, 697, 7935, 7167, 289, 2011, 9234, 255, 4983, 5653, 255, 332, 556, 1778, 314, 24058, 1385, 566, 364, 626, 5621, 525, 11535, 186, 45, 577, 7167, 359, 20625, 356, 6161, 1934, 17499, 555, 406, 85, 364, 626, 1509, 725, 272, 24807, 634, 356, 14806, 406, 85, 16219, 270, 1245, 2340, 2141, 363, 12852, 255, 6550, 255, 77, 2882, 90, 12814, 1215, 775, 253, 2005, 272, 253, 2526, 289, 905, 558, 1700, 13861, 799, 26656, 270, 45, 577, 7167, 359, 3369, 1246, 345, 253, 18193, 356, 8132, 391, 285, 27372, 406, 332, 2625, 253, 1559, 272, 253, 8422, 270, 1452, 255, 247, 4565, 2162, 255, 1449, 409, 652, 831, 276, 253, 16803, 255, 1529, 248, 3395, 272, 24807, 634, 3820, 27182, 454, 253, 13750, 8377, 270, 28251, 255, 868, 7552, 5396, 7077, 359, 596, 2237, 285, 852, 713, 270, 2522, 633, 1885, 22574, 8835, 255, 17664, 2185, 263, 1649, 11185, 758, 255, 1764, 74, 977, 257, 947, 659, 91, 391, 255, 68, 26432, 11198, 1171, 84, 255, 959, 317, 18176, 391, 255, 69, 563, 2210, 1410, 84, 255, 332, 1324, 1734, 7857, 359, 253, 22748, 905, 448, 1608, 272, 3504, 7935, 7167, 314, 3258, 19905, 14590, 558, 1979, 9629, 13110, 276, 32702, 248, 7935, 4642, 1625, 345, 253, 2163, 289, 13402, 272, 253, 3605, 255, 17546, 272, 253, 2275, 255, 332, 253, 1119, 253, 2275, 11218, 1894, 1285, 29780, 483, 270, 1452, 255, 264, 313, 1156, 285, 1012, 248, 19578, 5653, 1262, 64, 728, 14, 1204, 1186, 999, 16722, 1046, 9234, 255, 822, 359, 20121, 9234, 255, 13458, 315, 21048, 7935, 7167, 433, 9940, 289, 1979, 270, 3300, 16722, 1046, 9234, 476, 248, 1811, 22547, 253, 5220, 640, 359, 1246, 255, 10056, 1255, 24306, 289, 26323, 13251, 642, 558, 7076, 276, 5368, 818, 1575, 20121, 9234, 341, 1331, 23764, 314, 32168, 272, 1021, 9234, 409, 326, 5988, 3629, 7262, 272, 1514, 6067, 453, 253, 2275, 366, 248, 4535, 1747, 6071, 13716, 363, 19889, 356, 39, 1916, 795, 465, 480, 4535, 255, 66, 13716, 7557, 285, 248, 603, 17768, 313, 13833, 721, 253, 2275, 270, 340, 22667, 558, 1700, 253, 13716, 1591, 285, 248, 1831, 902, 4847, 1363, 253, 2275, 1894, 19908, 1329, 345, 253, 603, 17768, 270, 600, 6666, 2962, 2302, 1363, 253, 603, 17768, 255, 26121, 1514, 453, 253, 2275, 721, 253, 13716, 289, 603, 17768, 270, 340, 8900, 272, 253, 603, 17768, 359, 1232, 797, 2210, 327, 802, 19111, 2032, 15628, 16356, 433, 8060, 1329, 345, 253, 603, 17768, 289, 1232, 3722, 16724, 253, 528, 28528, 270, 340, 16356, 359, 1232, 28125, 289, 7695, 775, 248, 15628, 314, 3300, 7935, 7167, 359, 8925, 272, 24807, 634, 356, 14806, 406, 85, 16219, 255, 17721, 1208, 272, 480, 1697, 272, 3820, 345, 253, 13495, 313, 9629, 10299, 270, 3365, 577, 634, 3820, 620, 1199, 8385, 1539, 255, 22215, 29251, 1514, 255, 332, 1412, 253, 1400, 345, 253, 13495, 2778, 620, 248, 1745, 7665, 13095, 285, 396, 314, 3278, 12814, 672, 476, 596, 730, 650, 1697, 272, 3820, 1309, 255, 332, 705, 650, 3167, 3228, 285, 6071, 13716, 363, 19889, 313, 341, 396, 672, 326, 1575, 285, 4468, 9363, 783, 1514, 255, 7778, 285, 248, 15997, 5653, 270, 3651, 6071, 13716, 15234, 717, 359, 461, 64, 1504, 1186, 18065, 375, 10299, 255, 4084, 22667, 939, 2781, 360, 285, 3646, 253, 2275, 6804, 335, 818, 1889, 276, 2091, 255, 23414, 559, 255, 263, 13095, 270, 859, 1288, 1672, 255, 383, 32737, 272, 253, 2275, 366, 6071, 13716, 363, 19889, 939, 326, 2598, 448, 248, 5172, 649, 4084, 22667, 672, 4046, 248, 18209, 375, 2103, 8139, 272, 253, 5925, 4010, 314, 3278, 19905, 14590, 558, 2340, 4046, 248, 9739, 9656, 14, 3032, 2023, 285, 7935, 7167, 270, 859, 253, 2275, 4592, 4536, 1324, 255, 18326, 31251, 255, 332, 276, 248, 3865, 341, 4997, 1197, 16550, 366, 253, 3605, 554, 3390, 255, 1554, 672, 461, 326, 277, 637, 31038, 2023, 270, 4766, 2077, 255, 347, 4599, 1889, 4019, 255, 4084, 3605, 939, 2768, 285, 253, 22667, 335, 300, 14, 26268, 363, 5036, 363, 1575, 314, 4514, 4420, 313, 285, 2174, 2853, 253, 9739, 9656, 14, 3032, 2023, 289, 9753, 3233, 285, 9347, 8139, 270, 340, 5115, 285, 2779, 3233, 285, 5055, 313, 341, 253, 5055, 313, 1331, 4790, 1894, 253, 2275, 313, 4059, 270, 3278, 7935, 7167, 20962, 366, 253, 3229, 2964, 3820, 2381, 285, 713, 255, 822, 2434, 396, 2261, 335, 253, 16654, 285, 2762, 253, 8787, 272, 253, 5925, 289, 3965, 7211, 861, 640, 5356, 632, 272, 396, 270, 2124, 27701, 672, 4046, 248, 2353, 2748, 1342, 22958, 335, 253, 3605, 5154, 2032, 4490, 1485, 5055, 649, 1662, 672, 1039, 396, 4790, 335, 253, 16654, 285, 19262, 253, 8787, 272, 253, 5925, 255, 15217, 2103, 8139, 314, 4514, 5115, 272, 31997, 3233, 285, 5055, 313, 341, 20625, 7935, 7167, 672, 326, 791, 386, 4166, 26598, 453, 253, 596, 20121, 20159, 14790, 7935, 7167, 289, 7935, 395, 282, 738, 292, 255, 549, 10482, 253, 5925, 2240, 345, 558, 2022, 253, 22547, 255, 8132, 253, 5925, 2199, 642, 285, 326, 650, 272, 1288, 2063, 272, 9234, 270, 10168, 3096, 14790, 7935, 7167, 289, 7935, 395, 282, 738, 292, 359, 5340, 276, 596, 2317, 2770, 276, 480, 2357, 314, 52, 14581, 8139, 558, 652, 326, 596, 8329, 5143, 335, 1539, 12814, 341, 16550, 366, 253, 3605, 554, 3390, 255, 27505, 12679, 255, 263, 16550, 366, 2642, 20198, 2975, 314, 3440, 1778, 3910, 335, 7935, 7167, 942, 363, 1018, 28457, 21311, 255, 20560, 395, 21180, 255, 332, 7403, 3699, 476, 838, 3955, 276, 253, 23814, 4411, 270, 340, 6012, 1168, 10016, 5039, 272, 2048, 289, 253, 966, 272, 2081, 276, 253, 1996, 724, 9629, 1324, 255, 549, 253, 27610, 313, 1804, 642, 345, 21984, 818, 272, 1288, 3910, 335, 1778, 448, 480, 720, 314, 1132, 313, 248, 4565, 15660, 272, 7935, 7167, 1246, 276, 284, 563, 2210, 1410, 84, 255, 8517, 23792, 7935, 14956, 2385, 255, 247, 696, 6171, 253, 2889, 2526, 313, 4442, 255, 9269, 276, 22243, 272, 2964, 1591, 253, 8508, 289, 18193, 270, 8907, 255, 1534, 313, 929, 1778, 335, 480, 1697, 272, 7935, 4642, 255, 2160, 783, 19905, 14590, 4046, 9347, 8139, 272, 818, 1964, 272, 5925, 3820, 341, 731, 5979, 383, 366, 253, 3605, 554, 2260, 272, 1372, 270, 1452, 255, 1662, 313, 914, 248, 11042, 7280, 363, 253, 5925, 3820, 558, 894, 824, 314, 10168, 3096, 14790, 7935, 7167, 359, 1199, 15345, 12065, 9234, 341, 9849, 453, 253, 2964, 1514, 289, 896, 1154, 3422, 3820, 942, 363, 4351, 255, 79, 14090, 255, 332, 5242, 270, 1452, 255, 1449, 9889, 3465, 285, 612, 4762, 356, 3350, 567, 292, 986, 823, 332, 705, 359, 2621, 914, 11788, 20121, 270, 340, 9234, 2141, 285, 326, 2355, 255, 77, 2882, 90, 32369, 789, 276, 253, 2964, 3395, 775, 253, 2526, 255, 6745, 345, 253, 9366, 289, 8422, 270, 1245, 359, 1199, 4565, 276, 7077, 255, 772, 359, 905, 1354, 276, 4739, 32319, 5396, 582, 633, 1885, 22574, 8835, 255, 17664, 2185, 263, 1649, 11185, 758, 255, 332, 14176, 977, 257, 947, 659, 91, 391, 314, 32168, 272, 755, 9234, 409, 326, 2261, 2790, 1528, 272, 248, 6071, 13716, 15234, 369, 1412, 2141, 253, 1112, 363, 253, 596, 20625, 7935, 7167, 270, 340, 5653, 3218, 453, 4919, 6041, 356, 4793, 375, 15409, 823, 23604, 272, 3422, 3820, 10952, 448, 253, 720, 272, 5055, 335, 7935, 4642, 8139, 255, 263, 453, 21504, 1528, 272, 253, 5356, 5925, 270, 3431, 255, 264, 672, 326, 846, 425, 290, 285, 1999, 9347, 8139, 272, 818, 7935, 7167, 345, 7077, 341, 476, 838, 2282, 285, 326, 905, 448, 1608, 335, 20159, 14790, 7935, 7167, 314, 21823, 1575, 2033, 285, 253, 3865, 272, 253, 5925, 255, 84, 14581, 8139, 313, 5143, 270, 340, 16654, 558, 4711, 363, 1331, 272, 253, 5925, 363, 1575, 356, 1313, 15867, 76, 253, 5925, 823, 772, 2033, 285, 253, 20159, 14790, 2646, 272, 253, 5925, 255, 264, 313, 6171, 7476, 285, 4711, 632, 272, 396, 270, 31540, 4960, 1528, 276, 248, 64, 2055, 1186, 250, 2765, 6728, 2087, 255, 332, 3386, 272, 1288, 2162, 12056, 1363, 64, 25, 3385, 270, 30577, 341, 359, 4721, 366, 5055, 4960, 9111, 697, 64, 1212, 3385, 1253, 5653, 270, 340, 9583, 313, 861, 253, 5925, 313, 345, 248, 2088, 2677, 353, 1070, 312, 272, 253, 2889, 17669, 916, 2237, 4711, 253, 2889, 5925, 289, 326, 2621, 1105, 729, 314, 10568, 2365, 3699, 313, 2340, 5143, 276, 12979, 366, 9347, 3652, 336, 756, 272, 253, 5925, 270, 10568, 2365, 3699, 5927, 272, 9866, 10963, 272, 5214, 3821, 335, 64, 1204, 14, 1212, 6012, 270, 340, 7077, 359, 775, 2147, 21374, 335, 253, 64, 1204, 14, 1428, 3417, 272, 1778, 255, 4477, 640, 777, 285, 326, 13365, 1804, 335, 2443, 15465, 272, 253, 5214, 270, 23295, 1980, 359, 3369, 7963, 255, 332, 1540, 30584, 255, 30680, 312, 255, 332, 2392, 272, 13425, 276, 253, 1666, 1285, 4721, 270, 465, 650, 3729, 1190, 255, 1489, 1186, 999, 7077, 341, 1168, 5055, 5672, 433, 5214, 3699, 19824, 448, 2082, 64, 2055, 3385, 270, 465, 2147, 255, 1467, 64, 2857, 1186, 999, 7077, 341, 476, 248, 2450, 2077, 272, 5214, 3699, 1253, 5055, 359, 1807, 2072, 335, 448, 2082, 248, 935, 314, 2447, 396, 313, 1575, 285, 1215, 582, 5214, 3699, 1655, 253, 5055, 255, 264, 554, 3369, 461, 5143, 270, 10568, 2365, 3699, 313, 596, 2379, 799, 4059, 5558, 272, 5925, 3820, 313, 1309, 255, 549, 3652, 336, 756, 253, 5925, 8663, 980, 965, 2421, 253, 1763, 1528, 270, 18992, 8415, 313, 3369, 461, 2379, 335, 19782, 9234, 942, 363, 20159, 14790, 7935, 7167, 255, 332, 363, 942, 255, 262, 461, 2340, 5143, 270, 465, 4565, 2162, 255, 66, 1730, 1503, 634, 14627, 7371, 3128, 285, 2587, 253, 4534, 272, 892, 1704, 7764, 672, 326, 785, 285, 2071, 5925, 18970, 433, 13768, 892, 1704, 3949, 285, 253, 1666, 272, 253, 5925, 314, 45, 577, 395, 282, 738, 292, 359, 4565, 20121, 9234, 272, 253, 24807, 634, 3820, 19983, 253, 2526, 270, 1245, 359, 29452, 12814, 1655, 248, 5261, 3388, 11818, 270, 1245, 2340, 852, 345, 253, 9366, 375, 8422, 289, 409, 326, 2518, 2355, 375, 6911, 285, 253, 6794, 270, 45, 577, 395, 282, 738, 292, 359, 15345, 12065, 255, 332, 672, 3465, 356, 3350, 567, 292, 986, 406, 864, 253, 10686, 255, 18835, 255, 84, 504, 258, 255, 263, 8372, 255, 2160, 27495, 313, 461, 363, 2237, 366, 7935, 395, 282, 738, 292, 363, 396, 313, 366, 612, 11791, 270, 28251, 5584, 393, 8424, 2203, 20356, 69, 11535, 289, 326, 489, 815, 359, 905, 448, 1608, 335, 7935, 395, 282, 738, 292, 314, 8907, 255, 29685, 13716, 363, 19889, 272, 248, 20121, 7935, 395, 30261, 2340, 12106, 1514, 341, 1900, 844, 248, 20625, 7935, 4642, 270, 3431, 248, 18209, 272, 253, 2275, 313, 2340, 2635, 285, 1039, 248, 5653, 649, 6482, 902, 2063, 272, 1740, 4620, 397, 409, 326, 3760, 270, 2056, 248, 3820, 18209, 255, 4084, 3605, 313, 13027, 248, 2406, 277, 11615, 255, 332, 248, 1324, 4821, 272, 253, 24306, 313, 5356, 289, 2836, 285, 253, 7335, 335, 1780, 270, 2447, 248, 19578, 5653, 313, 1199, 2237, 366, 480, 2023, 255, 66, 3167, 3228, 313, 341, 861, 253, 21504, 1528, 5043, 248, 20121, 2283, 255, 12813, 4535, 558, 476, 285, 326, 3760, 285, 4711, 253, 2283, 314, 1173, 4433, 262, 1256, 18209, 313, 3760, 1894, 486, 3605, 313, 775, 2147, 21374, 289, 4704, 253, 8139, 272, 253, 2889, 2275, 289, 363, 1331, 272, 253, 6868, 3820, 363, 1575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 12378, 6584, 270, 40, 18676, 289, 904, 849, 3526, 476, 7709, 471, 9227, 1639, 284, 2408, 682, 1723, 186, 53, 5420, 414, 72, 18676, 255, 14575, 255, 15324, 255, 85, 954, 186, 452, 414, 20, 7543, 4224, 341, 532, 476, 27022, 248, 1825, 23209, 276, 3159, 6793, 345, 8525, 270, 3888, 255, 19, 7300, 341, 3526, 476, 1412, 785, 414, 18, 406, 40, 18676, 313, 7074, 345, 253, 2275, 272, 277, 1444, 270, 340, 2031, 253, 2275, 253, 9083, 253, 5921, 3138, 2035, 270, 19, 406, 5397, 3359, 558, 2904, 285, 253, 3777, 366, 253, 1112, 9393, 929, 3029, 904, 556, 2275, 270, 1294, 871, 4335, 3574, 285, 14994, 973, 612, 270, 340, 914, 1575, 6242, 341, 2062, 476, 2404, 725, 366, 313, 341, 4335, 64, 19, 313, 461, 2876, 2443, 270, 6164, 917, 359, 5145, 3641, 276, 9393, 1175, 755, 359, 461, 20672, 2033, 285, 253, 930, 247, 2716, 1796, 2275, 272, 2222, 248, 7030, 1954, 4185, 289, 248, 737, 1399, 3510, 285, 253, 3777, 363, 248, 2753, 270, 7107, 480, 1676, 341, 861, 917, 724, 1750, 953, 20182, 1045, 1554, 1168, 5394, 253, 1112, 2275, 289, 543, 14824, 448, 253, 1112, 720, 363, 253, 737, 1399, 289, 253, 7030, 1954, 4185, 255, 8132, 2662, 253, 612, 953, 20182, 1045, 13921, 448, 248, 1331, 2898, 2087, 2033, 285, 253, 17833, 315, 9083, 14385, 2035, 363, 10408, 285, 253, 7030, 1954, 4185, 375, 737, 1399, 911, 42, 672, 326, 2468, 90, 642, 272, 396, 1868, 1175, 861, 6393, 409, 12417, 783, 1590, 5813, 480, 2168, 255, 42, 3896, 341, 396, 558, 1039, 248, 905, 4703, 8565, 314, 516, 1098, 11240, 7061, 3044, 16851, 31669, 12233, 452, 414, 1456, 13, 7020, 18, 1547, 2732, 313, 811, 253, 1967, 3359, 1836, 253, 3777, 255, 1297, 253, 612, 1119, 1591, 270, 465, 612, 1909, 255, 1129, 6989, 5749, 253, 3777, 11018, 3724, 253, 737, 1399, 1894, 253, 737, 1399, 9769, 285, 3777, 270, 1452, 255, 1129, 558, 5749, 253, 965, 3777, 11018, 3724, 253, 1508, 3777, 1894, 253, 1508, 3777, 9769, 3724, 253, 965, 2276, 452, 414, 20, 3790, 532, 1200, 904, 5951, 7570, 255, 772, 14107, 277, 3102, 341, 5202, 486, 1619, 9529, 366, 871, 953, 587, 8738, 5488, 29362, 272, 8525, 580, 72, 18676, 3259, 22080, 14575, 272, 1444, 18, 3773, 14575, 272, 1444, 19, 406, 26244, 19599, 877, 4223, 272, 12814, 6848, 19, 2053, 15680, 20710, 253, 8525, 3259, 255, 772, 248, 2782, 1355, 563, 939, 326, 1865, 285, 15112, 396, 314, 49, 414, 3882, 186, 12378, 6584, 270, 40, 18676, 289, 904, 849, 3526, 476, 7709, 471, 9227, 3265, 1714, 433, 284, 2408, 682, 1723, 7543, 4224, 341, 532, 476, 27022, 248, 1825, 23209, 276, 3159, 6793, 345, 8525, 270, 3888, 255, 19, 7300, 341, 3526, 476, 1412, 785, 414, 18, 406, 40, 18676, 313, 7074, 345, 253, 2275, 272, 277, 1444, 270, 340, 2031, 253, 2275, 253, 9083, 253, 5921, 3138, 2035, 270, 19, 406, 5397, 3359, 558, 2904, 285, 253, 3777, 366, 253, 1112, 9393, 929, 3029, 904, 556, 2275, 270, 1294, 871, 4335, 3574, 285, 14994, 973, 612, 270, 340, 914, 1575, 6242, 341, 2062, 476, 2404, 725, 366, 313, 341, 4335, 64, 19, 313, 461, 2876, 2443, 270, 6164, 917, 359, 5145, 3641, 276, 9393, 1175, 755, 359, 461, 20672, 2033, 285, 253, 930, 247, 2716, 1796, 2275, 272, 2222, 248, 7030, 1954, 4185, 289, 248, 737, 1399, 3510, 285, 253, 3777, 363, 248, 2753, 270, 7107, 480, 1676, 341, 861, 917, 724, 1750, 953, 20182, 1045, 1554, 1168, 5394, 253, 1112, 2275, 289, 543, 14824, 448, 253, 1112, 720, 363, 253, 737, 1399, 289, 253, 7030, 1954, 4185, 255, 8132, 2662, 253, 612, 953, 20182, 1045, 13921, 448, 248, 1331, 2898, 2087, 2033, 285, 253, 17833, 315, 9083, 14385, 2035, 363, 10408, 285, 253, 7030, 1954, 4185, 375, 737, 1399, 911, 42, 672, 326, 2468, 90, 642, 272, 396, 1868, 1175, 861, 6393, 409, 12417, 783, 1590, 5813, 480, 2168, 255, 42, 3896, 341, 396, 558, 1039, 248, 905, 4703, 8565, 314, 5410, 2220, 762, 359, 2443, 270, 1283, 1200, 811, 255, 5886, 1999, 248, 2275, 536, 558, 1282, 281, 18, 909, 3136, 536, 409, 2921, 253, 3102, 335, 253, 14385, 21610, 877, 281, 18, 289, 253, 3777, 1942, 39, 18, 580, 40, 78, 18, 46, 20182, 31511, 63, 19, 474, 2148, 15014, 709, 10823, 5887, 414, 39, 18, 580, 78, 18, 66, 474, 4756, 3898, 480, 276, 335, 579, 18, 276, 253, 14385, 3102, 1942, 78, 18, 66, 580, 40, 78, 18, 46, 20182, 31511, 63, 19, 474, 15875, 536, 409, 8591, 281, 18, 642, 272, 1213, 4887, 11392, 1942, 66, 580, 22156, 20182, 31511, 63, 19, 474, 465, 612, 1909, 253, 9393, 356, 263, 253, 2087, 448, 696, 248, 1352, 9769, 406, 262, 4726, 272, 800, 2275, 314, 49, 414, 643, 186, 3265, 1714, 433, 2792, 8924, 538, 855, 2220, 762, 359, 2443, 270, 1283, 1200, 811, 255, 5886, 1999, 248, 2275, 536, 558, 1282, 281, 18, 270, 3136, 536, 409, 2921, 253, 3102, 335, 253, 14385, 21610, 877, 281, 18, 289, 253, 3777, 414, 39, 18, 580, 40, 78, 18, 46, 20182, 31511, 63, 19, 10964, 15014, 709, 10823, 5887, 414, 39, 18, 580, 78, 18, 66, 6942, 3898, 480, 276, 335, 579, 18, 276, 253, 14385, 3102, 414, 78, 18, 66, 580, 40, 78, 18, 46, 20182, 31511, 63, 19, 9947, 625, 536, 409, 8591, 281, 18, 642, 272, 1213, 4887, 11392, 414, 66, 580, 22156, 20182, 31511, 63, 19, 1048, 612, 1909, 253, 9393, 356, 263, 253, 2087, 448, 696, 248, 1352, 9769, 406, 262, 4726, 272, 800, 2275, 314, 4, 18, 64, 11864, 10463, 6477, 270, 26407, 1018, 253, 4723, 285, 6808, 253, 4723, 270, 42, 2128, 423, 8102, 277, 15274, 6884, 272, 811, 253, 4723, 916, 1804, 2871, 775, 253, 1354, 3303, 423, 7163, 1683, 6131, 640, 12313, 23458, 4, 19, 5251, 3102, 255, 39, 580, 2741, 580, 40, 78, 46, 31511, 63, 19, 255, 5014, 8531, 861, 917, 359, 871, 12814, 276, 253, 746, 270, 1316, 360, 8754, 248, 3704, 2275, 360, 409, 929, 3056, 2980, 341, 253, 6493, 14277, 345, 281, 313, 2931, 285, 253, 2868, 272, 8525, 270, 340, 3102, 360, 785, 1692, 2466, 4520, 341, 253, 12209, 15127, 2868, 345, 253, 1444, 313, 253, 2868, 272, 8525, 3318, 433, 253, 2275, 462, 474, 340, 3345, 20810, 313, 1250, 255, 1274, 1690, 909, 600, 2220, 377, 1942, 13229, 3359, 558, 2904, 285, 253, 3777, 366, 253, 1112, 9393, 929, 3029, 904, 556, 2275, 314, 15438, 777, 285, 326, 3298, 285, 21929, 3359, 909, 31543, 8846, 6273, 2904, 285, 253, 3777, 366, 253, 1112, 9393, 363, 248, 7030, 1954, 4185, 911, 4766, 2077, 461, 255, 1126, 4804, 16550, 909, 465, 253, 1112, 15275, 255, 2874, 7000, 248, 7030, 1954, 4185, 289, 248, 737, 1399, 8291, 13320, 3063, 8, 53, 8967, 366, 253, 3187, 270, 1245, 973, 476, 277, 937, 345, 973, 612, 289, 253, 8525, 272, 253, 3377, 289, 253, 8473, 1980, 713, 289, 705, 1147, 1255, 612, 5296, 276, 253, 6129, 270, 1507, 755, 11299, 4094, 359, 705, 1324, 341, 396, 313, 248, 1415, 2147, 4318, 341, 9425, 9769, 3724, 253, 3777, 448, 253, 1112, 9393, 909, 1507, 396, 6273, 1350, 2195, 2871, 255, 247, 849, 3821, 3777, 29587, 4143, 909, 53, 1227, 335, 1123, 270, 1245, 1060, 90, 253, 17633, 8525, 289, 3711, 17262, 3724, 253, 3187, 448, 253, 1112, 2087, 363, 248, 7030, 1954, 4185, 270, 600, 313, 1262, 253, 8473, 500, 788, 70, 383, 272, 2077, 270, 53, 1227, 359, 6430, 341, 4335, 64, 19, 313, 914, 2443, 775, 1953, 7230, 314, 49, 414, 27702, 186, 3265, 1714, 433, 284, 2408, 682, 1723, 7543, 4224, 341, 532, 476, 27022, 248, 1825, 23209, 276, 3159, 6793, 345, 8525, 270, 3888, 255, 19, 7300, 341, 3526, 476, 1412, 785, 414, 18, 406, 40, 18676, 313, 7074, 345, 253, 2275, 272, 277, 1444, 270, 340, 2031, 253, 2275, 253, 9083, 253, 5921, 3138, 2035, 270, 19, 406, 5397, 3359, 558, 2904, 285, 253, 3777, 366, 253, 1112, 9393, 929, 3029, 904, 556, 2275, 270, 1294, 871, 4335, 3574, 285, 14994, 973, 612, 270, 340, 914, 1575, 6242, 341, 2062, 476, 2404, 725, 366, 313, 341, 4335, 64, 19, 313, 461, 2876, 2443, 314, 340, 2031, 253, 12814, 253, 2031, 253, 14385, 2868, 877, 713, 255, 6442, 285, 1942, 2113, 40, 6276, 12485, 29362, 6585, 2044, 92, 40, 6276, 12485, 28394, 11, 12378, 34, 11, 12378, 35, 1736, 23876, 16936, 46, 10078, 63, 19, 13571, 772, 652, 255, 344, 2031, 248, 2275, 272, 277, 1444, 253, 1319, 248, 5352, 2868, 558, 784, 4195, 369, 396, 3675, 285, 1942, 2113, 40, 6276, 12485, 29362, 580, 12378, 16433, 11, 5691, 21601, 5018, 263, 474, 2113, 5691, 21601, 17759, 2044, 92, 40, 6276, 12485, 29362, 26627, 12378, 16433, 13571, 549, 345, 3777, 1270, 2113, 40, 6276, 12485, 29362, 35, 324, 1954, 30684, 6585, 2044, 92, 40, 6276, 12485, 28394, 3773, 12378, 35, 324, 1954, 30684, 11, 12378, 15299, 1736, 10568, 3881, 15299, 63, 19, 24556, 332, 186, 2113, 5691, 21601, 35, 324, 1954, 30684, 6585, 2044, 92, 40, 6276, 11137, 1256, 29362, 35, 324, 1954, 30684, 1736, 12378, 35, 324, 1954, 30684, 13571, 4691, 943, 276, 578, 2113, 5691, 21601, 35, 324, 1954, 30684, 6585, 2044, 92, 40, 6276, 12485, 28394, 3773, 12378, 35, 324, 1954, 30684, 11, 12378, 15299, 1736, 10568, 3881, 15299, 63, 19, 11, 12378, 35, 324, 1954, 30684, 24556, 822, 1633, 578, 2113, 5691, 21601, 35, 324, 1954, 30684, 6585, 2044, 92, 40, 6276, 12485, 28394, 11, 12378, 15299, 1736, 10568, 3881, 15299, 63, 19, 13571, 3431, 255, 292, 360, 409, 1200, 12749, 253, 2868, 1147, 3586, 345, 253, 2275, 255, 344, 9393, 313, 4726, 272, 253, 2275, 255, 3106, 253, 2031, 253, 2275, 253, 1319, 396, 5019, 717, 861, 248, 1953, 2868, 7432, 345, 396, 314, 38, 1098, 11240, 186, 31255, 12233, 186, 49, 414, 3019, 13, 27836, 186, 3265, 1714, 433, 284, 2408, 682, 1723, 7543, 4224, 341, 532, 476, 27022, 248, 1825, 23209, 276, 3159, 6793, 345, 8525, 270, 3888, 255, 19, 7300, 341, 3526, 476, 1412, 785, 414, 18, 406, 40, 18676, 313, 7074, 345, 253, 2275, 272, 277, 1444, 270, 340, 2031, 253, 2275, 253, 9083, 253, 5921, 3138, 2035, 270, 19, 406, 5397, 3359, 558, 2904, 285, 253, 3777, 366, 253, 1112, 9393, 929, 3029, 904, 556, 2275, 270, 1294, 871, 4335, 3574, 285, 14994, 973, 612, 270, 340, 914, 1575, 6242, 341, 2062, 476, 2404, 725, 366, 313, 341, 4335, 64, 19, 313, 461, 2876, 2443, 270, 6164, 917, 359, 5145, 3641, 276, 9393, 1175, 755, 359, 461, 20672, 2033, 285, 253, 930, 247, 2716, 1796, 2275, 272, 2222, 248, 7030, 1954, 4185, 289, 248, 737, 1399, 3510, 285, 253, 3777, 363, 248, 2753, 270, 7107, 480, 1676, 341, 861, 917, 724, 1750, 953, 20182, 1045, 1554, 1168, 5394, 253, 1112, 2275, 289, 543, 14824, 448, 253, 1112, 720, 363, 253, 737, 1399, 289, 253, 7030, 1954, 4185, 255, 8132, 2662, 253, 612, 953, 20182, 1045, 13921, 448, 248, 1331, 2898, 2087, 2033, 285, 253, 17833, 315, 9083, 14385, 2035, 363, 10408, 285, 253, 7030, 1954, 4185, 375, 737, 1399, 911, 42, 672, 326, 2468, 90, 642, 272, 396, 1868, 1175, 861, 6393, 409, 12417, 783, 1590, 5813, 480, 2168, 255, 42, 3896, 341, 396, 558, 1039, 248, 905, 4703, 8565, 314, 1099, 313, 10228, 1868, 313, 341, 360, 359, 1018, 253, 2285, 953, 72, 18676, 1045, 475, 871, 525, 6700, 30847, 7008, 2018, 270, 1132, 313, 248, 14385, 2868, 255, 822, 313, 253, 655, 38, 21115, 255, 332, 253, 14385, 9393, 255, 822, 313, 2340, 14209, 363, 953, 72, 7225, 1297, 953, 40, 2881, 822, 313, 253, 8716, 14385, 3259, 8166, 340, 2353, 655, 313, 3388, 363, 655, 580, 13076, 909, 3431, 255, 265, 2701, 360, 409, 1200, 396, 313, 7074, 345, 253, 2275, 276, 1949, 909, 1452, 255, 344, 14385, 9393, 272, 341, 2275, 313, 328, 270, 673, 313, 4726, 272, 811, 1539, 480, 2275, 313, 356, 252, 2082, 255, 11269, 480, 2343, 8859, 1224, 905, 19581, 12394, 359, 3298, 8166, 1611, 2381, 720, 255, 2446, 360, 693, 253, 2285, 953, 72, 18676, 2881, 7855, 285, 2128, 904, 4742, 396, 313, 341, 360, 359, 1018, 396, 363, 270, 1065, 558, 1636, 341, 276, 6718, 3929, 5674, 1045, 332, 12391, 359, 26704, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6531, 360, 3697, 5564, 1144, 285, 1140, 9787, 2838, 335, 486, 27126, 341, 9277, 1197, 1798, 806, 24083, 5693, 375, 1798, 4919, 335, 556, 2163, 879, 29511, 585, 255, 1129, 2539, 461, 4960, 2276, 1130, 248, 2565, 375, 31590, 255, 264, 554, 1156, 285, 1140, 2163, 14, 13240, 289, 4841, 2838, 341, 409, 6435, 289, 13079, 849, 2483, 3909, 1655, 16229, 713, 314, 2318, 554, 2096, 532, 4238, 20264, 248, 1567, 272, 783, 272, 253, 1763, 1730, 3456, 317, 5693, 9787, 2838, 335, 29769, 356, 18651, 1249, 27126, 24930, 24739, 3295, 15853, 90, 285, 31059, 255, 3470, 2838, 359, 2452, 285, 1927, 486, 564, 2420, 80, 13079, 271, 1894, 652, 4558, 783, 6108, 6618, 2276, 15691, 17399, 938, 317, 5693, 21128, 84, 335, 566, 15945, 9903, 186, 1093, 17805, 90, 802, 262, 277, 11443, 29543, 1404, 554, 13005, 3057, 2966, 433, 876, 5614, 538, 4810, 78, 270, 340, 1223, 4639, 253, 10890, 862, 272, 248, 311, 886, 544, 15853, 2465, 350, 254, 31035, 6630, 15853, 90, 289, 1408, 2456, 255, 1758, 1408, 7941, 28661, 264, 255, 25456, 1072, 6887, 255, 332, 2483, 19260, 538, 27790, 314, 6644, 276, 538, 6816, 67, 1721, 255, 344, 3057, 13090, 253, 5093, 665, 289, 4111, 272, 8614, 2456, 1372, 255, 23095, 2344, 1585, 255, 20886, 1405, 255, 332, 2352, 2456, 10954, 314, 2056, 800, 769, 20287, 6180, 255, 12240, 263, 255, 332, 2451, 7205, 2859, 17805, 90, 802, 3489, 10733, 10468, 857, 10474, 335, 800, 13771, 285, 1213, 1404, 289, 3685, 15792, 314, 6531, 360, 7928, 272, 253, 1223, 10180, 1717, 566, 30787, 911, 673, 554, 248, 2861, 31307, 289, 976, 1223, 335, 29769, 341, 554, 11861, 5451, 13323, 642, 314, 340, 1223, 4639, 253, 10890, 862, 272, 248, 2816, 12964, 6630, 610, 1828, 289, 1055, 1763, 5818, 255, 66, 12324, 24502, 18601, 891, 24930, 285, 1585, 289, 4378, 270, 17538, 255, 1449, 873, 345, 632, 15961, 272, 10890, 862, 255, 1394, 7398, 892, 5371, 289, 1524, 892, 2018, 2712, 253, 1119, 314, 2080, 272, 253, 4170, 10180, 1717, 566, 30787, 313, 942, 248, 1825, 1223, 335, 29769, 313, 1262, 396, 554, 2450, 272, 976, 289, 23056, 270, 19077, 558, 4236, 13153, 610, 1828, 289, 1055, 24502, 18601, 5818, 24498, 1591, 8437, 289, 6098, 892, 2018, 2307, 314, 1507, 253, 1223, 313, 596, 730, 1215, 976, 289, 5528, 1019, 264, 652, 16463, 1156, 6618, 697, 27091, 255, 16752, 6298, 255, 332, 1619, 18009, 270, 1130, 610, 1828, 7169, 717, 253, 4111, 272, 4319, 725, 255, 249, 22100, 811, 285, 326, 248, 1415, 5818, 289, 811, 285, 867, 882, 2261, 5259, 314, 12593, 255, 347, 360, 2539, 3851, 335, 248, 1223, 341, 554, 1213, 13079, 268, 289, 4841, 335, 486, 2483, 3909, 255, 16636, 1717, 566, 30787, 313, 248, 1825, 4072, 270, 673, 554, 2452, 285, 1940, 248, 9780, 276, 486, 7446, 276, 929, 720, 2276, 340, 1223, 3041, 248, 1214, 272, 530, 263, 544, 3806, 5371, 891, 4236, 285, 1179, 4368, 289, 873, 345, 10890, 862, 270, 3500, 14720, 313, 18141, 1591, 248, 902, 3327, 4278, 255, 332, 253, 5624, 718, 642, 253, 3327, 363, 640, 1179, 396, 2307, 314, 2080, 272, 253, 4170, 18552, 4275, 9253, 313, 942, 248, 1825, 1223, 335, 29769, 313, 1262, 396, 13173, 248, 4236, 272, 2873, 289, 27232, 270, 56, 11325, 253, 5624, 718, 642, 6180, 276, 248, 976, 289, 9171, 1119, 409, 870, 4214, 852, 248, 8432, 17843, 335, 4368, 289, 2873, 314, 1507, 253, 1223, 652, 620, 1156, 6618, 697, 27091, 255, 17712, 18009, 255, 332, 19158, 270, 1130, 253, 3806, 5371, 13161, 902, 3327, 4278, 15055, 255, 1449, 1636, 811, 285, 867, 2307, 289, 870, 973, 612, 642, 314, 12593, 255, 347, 360, 2539, 3851, 335, 248, 1223, 341, 554, 1213, 13079, 268, 289, 4841, 335, 486, 2483, 3909, 255, 1038, 654, 4275, 9253, 313, 248, 1825, 4072, 270, 673, 554, 2452, 285, 18434, 248, 4236, 272, 2873, 289, 870, 486, 933, 1636, 1156, 2173, 2712, 253, 1119, 314, 21536, 566, 14000, 554, 5329, 424, 4794, 3575, 186, 340, 1223, 313, 1625, 345, 253, 32277, 5624, 453, 16188, 270, 51, 450, 391, 1306, 5652, 424, 4794, 3575, 289, 4639, 253, 10890, 862, 272, 248, 2816, 244, 14000, 6630, 22648, 289, 1055, 5371, 270, 3500, 14720, 8197, 345, 248, 902, 8916, 255, 1458, 363, 7554, 255, 11315, 1074, 255, 263, 25437, 314, 2080, 272, 253, 4170, 22648, 566, 14000, 554, 5329, 424, 4794, 3575, 313, 942, 248, 1825, 1223, 335, 29769, 313, 1262, 396, 554, 3128, 285, 5304, 1156, 1701, 289, 5903, 2335, 270, 340, 5624, 1222, 2451, 2600, 255, 1458, 363, 19158, 289, 1619, 18009, 255, 1554, 4214, 409, 1636, 453, 289, 4079, 276, 556, 1395, 4143, 314, 4514, 1825, 3376, 697, 253, 1223, 313, 253, 8477, 90, 15222, 341, 873, 2712, 366, 973, 8916, 270, 340, 15222, 359, 3077, 335, 4214, 285, 1914, 2712, 366, 289, 870, 16999, 253, 6618, 276, 248, 976, 289, 30539, 1119, 314, 12593, 255, 347, 360, 2539, 3851, 335, 248, 1223, 341, 554, 1213, 976, 289, 4841, 335, 486, 2483, 3909, 255, 21536, 566, 14000, 554, 5329, 424, 4794, 3575, 313, 248, 1825, 4072, 270, 673, 554, 2452, 285, 13079, 289, 18434, 486, 933, 1894, 3663, 1156, 1372, 2335, 2712, 253, 1119, 314, 36, 1244, 289, 14450, 8464, 186, 1093, 36, 1244, 289, 14450, 8464, 802, 262, 248, 20437, 906, 29543, 3057, 16943, 335, 29769, 255, 22798, 248, 1730, 3456, 317, 5693, 289, 1378, 3189, 2002, 270, 340, 1223, 3284, 12127, 1591, 253, 530, 263, 544, 27091, 877, 1072, 577, 255, 66, 267, 2046, 255, 332, 14450, 8464, 255, 66, 8609, 8484, 270, 2056, 800, 15005, 11780, 255, 7710, 906, 3568, 84, 255, 332, 2451, 7205, 697, 27091, 289, 1619, 18009, 255, 264, 554, 248, 4425, 4072, 335, 2816, 25611, 314, 1093, 53, 23089, 3291, 2369, 802, 262, 248, 4009, 16954, 289, 25126, 373, 307, 1223, 3128, 335, 29769, 270, 340, 3214, 2039, 8662, 29543, 3057, 4639, 9586, 255, 66, 5280, 28465, 255, 292, 423, 13090, 248, 434, 17531, 432, 1280, 7738, 366, 23880, 3359, 270, 2056, 800, 705, 6235, 309, 282, 1512, 255, 20886, 22629, 27232, 255, 332, 9349, 345, 18501, 289, 7165, 2859, 53, 23089, 3291, 2369, 802, 15499, 248, 4425, 15516, 272, 20370, 289, 2356, 314, 28196, 272, 22695, 186, 1093, 28196, 272, 22695, 802, 262, 248, 2376, 88, 17945, 4214, 1306, 20921, 1223, 341, 284, 1143, 721, 253, 20616, 21685, 1280, 272, 27091, 255, 370, 1111, 428, 255, 332, 9610, 1372, 270, 16155, 849, 2816, 27733, 363, 640, 4378, 253, 3422, 4828, 255, 84, 5639, 27662, 255, 332, 1524, 6108, 1372, 6618, 270, 2056, 21825, 17310, 289, 4009, 16954, 27232, 255, 264, 554, 248, 20437, 906, 17841, 7078, 335, 2816, 25611, 314, 1093, 49, 4157, 247, 19218, 802, 262, 277, 467, 329, 27267, 29543, 3057, 341, 4526, 84, 2816, 25611, 285, 248, 8567, 4189, 10959, 1042, 253, 7062, 272, 16036, 270, 340, 1223, 4639, 748, 10712, 255, 66, 17092, 289, 2505, 14, 12142, 271, 31213, 247, 255, 292, 1654, 2623, 10987, 345, 20437, 906, 10890, 862, 366, 1408, 12896, 255, 35, 28640, 255, 332, 556, 5371, 270, 2056, 800, 15005, 27232, 289, 26850, 3568, 84, 2859, 49, 4157, 247, 19218, 802, 262, 248, 4009, 16954, 289, 4841, 1299, 335, 1404, 314, 8467, 5234, 12307, 575, 8630, 186, 1093, 8467, 16343, 554, 12307, 575, 8630, 802, 262, 248, 21825, 289, 4443, 22629, 29543, 3057, 4425, 335, 15794, 391, 270, 8467, 16343, 255, 66, 311, 886, 544, 1841, 255, 3573, 1055, 12307, 11577, 1019, 27270, 432, 7864, 391, 1019, 864, 3971, 253, 1280, 1591, 2327, 285, 1372, 270, 2056, 800, 6996, 27232, 255, 2809, 3572, 2711, 255, 332, 6618, 345, 1619, 18009, 255, 344, 1223, 477, 10987, 2816, 1404, 554, 11375, 289, 18501, 314, 1093, 2996, 20843, 802, 262, 248, 32277, 29543, 3057, 341, 4639, 253, 10890, 862, 272, 277, 64, 25, 6313, 10798, 248, 526, 87, 983, 6630, 32542, 7563, 270, 6644, 276, 253, 29522, 8437, 272, 7759, 7845, 8630, 255, 344, 1223, 2556, 7495, 32542, 554, 8614, 1372, 255, 13182, 4400, 255, 332, 5725, 366, 2456, 289, 5371, 270, 2056, 800, 9171, 6180, 289, 2451, 7205, 2859, 2996, 20843, 802, 3489, 838, 17921, 2067, 335, 800, 4841, 1461, 289, 20370, 335, 1404, 272, 632, 7997, 314, 45, 6825, 66, 599, 6825, 66, 802, 262, 248, 2376, 88, 17945, 29543, 3057, 1625, 345, 253, 3786, 1404, 554, 2133, 3057, 433, 2912, 3788, 525, 1373, 27996, 270, 340, 1223, 9857, 1591, 599, 6825, 66, 599, 6825, 66, 255, 66, 17092, 289, 311, 886, 544, 2816, 311, 6825, 66, 255, 292, 423, 7169, 717, 1967, 8560, 4400, 366, 253, 870, 272, 1055, 2456, 289, 5371, 270, 2056, 800, 769, 20287, 10794, 289, 15005, 1372, 6618, 2859, 45, 6825, 66, 599, 6825, 66, 802, 262, 248, 20437, 906, 289, 4841, 1223, 335, 15794, 391, 314, 14624, 289, 10723, 315, 554, 21390, 12848, 186, 1093, 14624, 289, 10723, 315, 554, 21390, 12848, 802, 262, 248, 20437, 906, 29543, 3057, 341, 4639, 253, 10890, 862, 272, 13672, 7759, 71, 255, 66, 2816, 1762, 71, 255, 332, 10723, 315, 2905, 26445, 255, 66, 5134, 90, 2469, 774, 270, 6644, 276, 248, 20616, 1280, 7738, 366, 467, 329, 27267, 11362, 255, 344, 1223, 1223, 19665, 556, 1585, 906, 7729, 547, 4067, 255, 17712, 18009, 2335, 255, 332, 253, 3769, 272, 27091, 289, 12172, 270, 2056, 800, 1230, 3189, 5624, 289, 4443, 22629, 27232, 2859, 14624, 289, 10723, 315, 554, 21390, 12848, 802, 26186, 405, 717, 2816, 19106, 289, 14259, 556, 11375, 314, 6187, 486, 22581, 7078, 285, 253, 2381, 1115, 366, 849, 6021, 31468, 345, 17619, 1421, 19826, 268, 314, 11372, 480, 31468, 1657, 289, 29193, 345, 248, 28053, 22581, 2002, 341, 558, 9556, 486, 4865, 366, 486, 933, 289, 3971, 14016, 289, 32535, 285, 486, 2456, 1372, 314, 1093, 14715, 354, 315, 794, 395, 802, 262, 248, 3786, 5163, 14, 31810, 1404, 554, 13005, 3057, 2966, 433, 2912, 798, 15915, 289, 9584, 301, 542, 25948, 270, 340, 1223, 3041, 530, 263, 544, 255, 19013, 5544, 5624, 1747, 11744, 354, 315, 794, 395, 255, 3255, 3270, 345, 248, 3004, 3117, 15570, 289, 4378, 253, 1391, 1280, 366, 18501, 289, 7743, 270, 3500, 14720, 4639, 556, 881, 3049, 289, 4841, 10890, 862, 363, 640, 5879, 366, 8614, 3359, 289, 945, 255, 11439, 8660, 1524, 882, 1585, 289, 7165, 270, 340, 1223, 313, 1724, 335, 800, 23909, 17310, 255, 68, 2294, 90, 4381, 255, 332, 13079, 268, 26170, 255, 4741, 396, 248, 6957, 2370, 15794, 19106, 314, 859, 360, 2539, 3851, 335, 248, 1825, 1223, 285, 6061, 366, 486, 27126, 255, 15079, 538, 4295, 313, 11861, 5451, 8527, 1890, 2467, 554, 2096, 578, 3888, 272, 632, 255, 344, 1223, 313, 6390, 3128, 366, 2816, 1404, 276, 2605, 270, 673, 554, 2450, 272, 6883, 6395, 255, 68, 2294, 90, 7274, 261, 255, 332, 3077, 3665, 1834, 926, 3327, 6994, 341, 359, 4425, 335, 2483, 3909, 314, 1507, 396, 554, 461, 1215, 976, 1019, 15079, 538, 4295, 652, 620, 248, 2901, 2451, 4619, 341, 8197, 345, 32556, 289, 19158, 270, 1294, 359, 1156, 2173, 341, 536, 1599, 849, 4214, 285, 1636, 453, 277, 2240, 2163, 255, 332, 253, 1223, 1147, 248, 1825, 3393, 272, 11585, 713, 276, 248, 1119, 341, 554, 3077, 335, 29769, 285, 1290, 314, 4514, 1825, 3376, 697, 8487, 538, 4295, 313, 341, 396, 554, 632, 697, 7706, 289, 1701, 2335, 270, 2148, 13153, 253, 5624, 867, 882, 556, 1395, 5903, 19281, 255, 85, 15945, 9903, 409, 1636, 248, 2814, 697, 811, 285, 6820, 289, 5275, 556, 1395, 7477, 270, 1696, 253, 9349, 345, 27091, 289, 19158, 409, 870, 713, 852, 1811, 4445, 366, 2165, 255, 8911, 314, 1093, 21783, 6977, 802, 262, 277, 6595, 1730, 20603, 1223, 335, 29769, 2033, 285, 800, 15005, 267, 5139, 289, 769, 20287, 10794, 270, 340, 29543, 3057, 4639, 31059, 253, 24953, 289, 1055, 5371, 363, 640, 13161, 8614, 4400, 255, 11439, 8660, 5903, 6973, 255, 17712, 18009, 255, 332, 27091, 270, 6341, 13474, 3568, 84, 289, 9171, 27232, 3703, 248, 705, 6235, 289, 4841, 14190, 2002, 335, 2816, 1404, 314, 1093, 22566, 538, 587, 802, 262, 1750, 21985, 1730, 20603, 1223, 335, 29769, 270, 600, 15005, 29543, 3057, 3284, 12127, 1591, 253, 10890, 862, 272, 21390, 538, 587, 289, 1055, 4912, 2203, 5371, 255, 71, 513, 1644, 13917, 255, 11315, 1074, 255, 332, 11375, 270, 2056, 800, 3319, 2411, 2892, 27232, 255, 25930, 3568, 84 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 673, 313, 4733, 64, 1626, 7364, 64, 993, 24, 255, 6969, 27, 2599, 474, 1984, 21067, 17215, 18824, 20774, 474, 8160, 10792, 360, 335, 1018, 253, 19154, 956, 1662, 4919, 1810, 409, 6200, 486, 2274, 289, 2122, 596, 2439, 2084, 270, 959, 476, 5658, 6513, 360, 285, 18824, 20774, 9063, 3629, 4805, 909, 12808, 1076, 186, 475, 4583, 474, 581, 558, 5792, 892, 2084, 341, 6052, 486, 1115, 1625, 345, 486, 566, 7224, 6248, 474, 23474, 474, 7290, 3425, 255, 581, 3738, 6369, 360, 277, 6107, 18903, 5694, 1625, 345, 486, 2274, 474, 14163, 186, 49, 765, 474, 581, 558, 5792, 892, 2084, 341, 6052, 486, 1115, 1625, 345, 486, 566, 7224, 6248, 474, 960, 29071, 1790, 13480, 18393, 474, 29333, 29071, 1790, 13480, 18393, 276, 8802, 186, 8244, 11298, 9093, 30103, 474, 960, 2776, 9782, 89, 4970, 93, 31, 93, 89, 93, 14, 93, 90, 93, 474, 11349, 26284, 186, 53, 7683, 52, 1942, 1984, 30378, 15538, 474, 8529, 186, 14235, 414, 2510, 4584, 64, 993, 18, 186, 13194, 414, 23, 474, 17417, 17151, 19, 1726, 18, 4048, 7546, 414, 1626, 474, 1984, 7054, 15538, 474, 3841, 4584, 64, 993, 19, 255, 1204, 27, 523, 186, 18, 186, 44, 15109, 4253, 186, 42, 1246, 7811, 882, 480, 650, 285, 326, 5889, 909, 8670, 315, 1942, 93, 89, 4970, 2293, 23716, 253, 3264, 877, 1422, 289, 342, 345, 253, 966, 1515, 909, 93, 89, 93, 14, 93, 90, 93, 255, 251, 253, 612, 1648, 255, 5886, 3337, 253, 6151, 1461, 272, 1213, 1982, 956, 332, 14355, 4467, 713, 1213, 285, 253, 2451, 2097, 272, 253, 966, 1515, 956, 332, 11146, 3063, 26686, 253, 2732, 877, 1422, 289, 342, 474, 8699, 1080, 255, 264, 2434, 2699, 341, 861, 1422, 289, 342, 359, 272, 902, 4751, 356, 475, 1123, 255, 89, 14445, 22, 255, 90, 30, 22, 823, 1660, 253, 2732, 877, 253, 871, 1982, 345, 248, 966, 1515, 313, 2898, 861, 4651, 1485, 4467, 713, 1213, 285, 253, 2451, 2097, 272, 253, 966, 1515, 909, 2058, 480, 1120, 532, 26821, 12917, 819, 341, 396, 313, 7476, 335, 9782, 89, 4970, 2293, 864, 326, 1319, 730, 9782, 89, 93, 14, 93, 90, 93, 270, 42, 652, 12917, 819, 448, 480, 1120, 341, 861, 1422, 289, 342, 476, 253, 1112, 968, 255, 264, 1147, 461, 3029, 799, 253, 6151, 1461, 313, 3022, 1262, 253, 2732, 877, 713, 558, 326, 253, 1112, 2518, 1119, 909, 2631, 480, 3101, 901, 255, 344, 1619, 3714, 1331, 4790, 909, 17417, 17151, 19, 1726, 18, 4048, 7546, 414, 1626, 474, 8529, 186, 14235, 414, 2296, 6722, 64, 993, 19, 186, 13194, 414, 19, 474, 17417, 17151, 60, 17, 4048, 7546, 414, 20, 474, 1984, 7054, 15538, 474, 7638, 5620, 64, 993, 19, 255, 7020, 27, 6969, 186, 22578, 313, 538, 270, 42, 11576, 480, 1619, 276, 253, 18903, 3734, 81, 909, 9, 18, 406, 90, 4613, 89, 186, 347, 1422, 30, 20, 289, 342, 30, 19, 255, 2709, 1648, 2290, 2615, 4970, 2991, 18, 255, 332, 1250, 1648, 2290, 2615, 7635, 8235, 12189, 2991, 18, 3936, 2828, 314, 1507, 861, 1422, 30, 20, 289, 342, 14445, 19, 255, 2709, 1648, 313, 64, 22, 289, 1250, 313, 64, 18, 3936, 7326, 314, 26087, 54, 11425, 3062, 42, 7008, 909, 9, 19, 406, 7992, 4613, 17, 186, 11328, 2128, 253, 1387, 871, 2162, 909, 5233, 406, 89, 31, 17, 289, 342, 29, 17, 186, 465, 480, 1576, 2290, 2615, 4970, 22468, 8235, 2615, 823, 292, 276, 253, 1508, 11035, 2588, 276, 253, 4628, 272, 356, 18, 406, 16081, 314, 1611, 2290, 2615, 4970, 406, 79, 6282, 313, 2898, 730, 2290, 2615, 7635, 8235, 12189, 406, 3106, 2290, 2615, 22468, 8235, 2615, 8148, 8235, 12189, 10, 3936, 7326, 909, 6814, 406, 89, 29, 17, 289, 342, 31, 17, 186, 465, 480, 1576, 2290, 2615, 4970, 2991, 8235, 2615, 9758, 8235, 12189, 795, 3300, 2290, 2615, 6622, 8235, 12189, 22468, 8235, 356, 89, 7635, 8235, 12189, 12686, 8235, 2615, 4970, 22468, 8235, 2615, 8148, 8235, 12189, 10, 3936, 7326, 909, 30357, 11425, 3062, 42, 7008, 909, 17417, 17151, 60, 17, 4048, 7546, 414, 20, 474, 8529, 186, 14235, 414, 2599, 18765, 64, 993, 20, 186, 13194, 414, 683, 474, 17417, 17151, 27277, 1726, 17, 4048, 7546, 414, 25, 474, 2193, 21496, 414, 10176, 7398, 255, 15799, 12182, 3432, 1244, 186, 3030, 414, 2776, 9782, 89, 956, 90, 2945, 2013, 93, 89, 9782, 956, 93, 90, 2945, 10405, 18, 406, 90, 4613, 89, 356, 19, 406, 7992, 4613, 17, 704, 26316, 19280, 5504, 1984, 7054, 15538, 474, 8697, 4584, 64, 993, 20, 255, 2296, 27, 3240, 474, 18, 406, 13136, 4335, 356, 18, 823, 347, 342, 4613, 89, 255, 1660, 917, 409, 326, 871, 2162, 28084, 66, 406, 90, 313, 2962, 255, 264, 409, 1357, 285, 871, 847, 2162, 13748, 186, 7830, 406, 89, 313, 2962, 1806, 27259, 292, 342, 4613, 89, 705, 9782, 90, 2293, 2013, 93, 89, 93, 1806, 27259, 93, 89, 93, 956, 93, 90, 2293, 4691, 326, 4613, 17, 255, 332, 9782, 89, 956, 90, 2293, 2013, 17, 1806, 27259, 93, 89, 956, 90, 2293, 2013, 93, 89, 93, 956, 93, 90, 2499, 22052, 406, 89, 313, 2451, 1806, 27259, 93, 89, 956, 90, 2293, 7387, 326, 2026, 272, 6151, 1461, 272, 1422, 289, 342, 255, 32410, 9782, 89, 93, 1241, 93, 90, 93, 1806, 27259, 93, 89, 956, 90, 2293, 2013, 93, 89, 93, 956, 93, 90, 93, 474, 11892, 4335, 313, 2987, 909, 67, 406, 90, 313, 2451, 1806, 27259, 89, 409, 914, 326, 2451, 1806, 27259, 93, 89, 956, 90, 93, 580, 93, 89, 93, 956, 93, 90, 93, 474, 11892, 4335, 313, 7080, 909, 3300, 536, 582, 461, 812, 255, 7299, 342, 313, 2451, 375, 2962, 536, 409, 461, 11670, 453, 4335, 64, 18, 909, 19, 406, 13136, 4335, 356, 19, 823, 347, 1422, 90, 4613, 17, 1806, 27259, 6482, 847, 2162, 186, 66, 406, 89, 4613, 17, 289, 342, 4386, 17, 1806, 27259, 93, 89, 956, 90, 93, 580, 93, 89, 93, 1241, 93, 90, 2293, 822, 313, 2898, 730, 9782, 89, 93, 956, 93, 90, 2499, 67, 406, 89, 4386, 17, 289, 342, 4613, 17, 1806, 27259, 93, 89, 956, 90, 93, 580, 93, 89, 93, 1241, 93, 90, 93, 255, 822, 313, 1562, 2898, 730, 9782, 89, 93, 956, 93, 90, 93, 474, 31451, 356, 19, 406, 262, 4982, 2512, 285, 11670, 253, 1619, 4335, 909, 17417, 17151, 27277, 1726, 17, 4048, 7546, 414, 25, 474, 26826, 186, 14235, 414, 3019, 14483, 64, 993, 19, 186, 13194, 414, 25, 6457, 474, 17417, 17151, 10069, 26, 1726, 17, 4048, 7546, 414, 22, 5744, 474, 1984, 7054, 15538, 474, 6969, 4584, 64, 993, 20, 255, 4941, 27, 6194, 186, 1611, 11149, 253, 6884, 313, 341, 1140, 253, 4751, 1136, 276, 253, 1387, 2162, 474, 9415, 186, 355, 9550, 1041, 9550, 355, 12, 474, 4477, 4335, 6273, 64, 18, 6273, 870, 276, 818, 1119, 800, 15698, 289, 4335, 64, 19, 2518, 1213, 2451, 375, 1213, 2962, 799, 536, 11035, 3401, 800, 2906, 2987, 705, 800, 4982, 879, 23869, 474, 5341, 3100, 18, 1028, 14946, 861, 1249, 1833, 8147, 10965, 4566, 9760, 10745, 3823, 6884, 335, 632, 16106, 2084, 453, 748, 40, 64, 1551, 289, 1331, 596, 11625, 3343, 5024, 2263, 3367, 14876, 364, 3411, 16, 450, 1551, 380, 16, 474, 21067, 20774, 2997, 10647, 861, 9641, 11625, 3343, 72, 3367, 537, 682, 3411, 16, 475, 364, 17343, 3367, 2411, 6415, 14, 21077, 19124, 9656, 14, 2752, 14, 347, 7203, 258, 740, 395, 14, 19503, 19503, 13876, 474, 17417, 17151, 10069, 26, 1726, 17, 4048, 7546, 414, 22, 5744, 474, 8529, 186, 14235, 414, 3019, 7364, 64, 993, 19, 186, 13194, 414, 23, 474, 17417, 17151, 25, 1726, 17, 4048, 7546, 414, 17, 474, 17263, 414, 14809, 2900, 186, 2193, 21496, 414, 12171, 559, 255, 16241, 186, 21067, 12894, 414, 8697, 14, 7982, 14, 993, 20, 186, 40, 4669, 414, 20, 15, 8973, 186, 23255, 414, 11802, 6639, 356, 14049, 14524, 1613, 1984, 7054, 15538, 474, 1623, 4584, 64, 993, 20, 255, 7982, 27, 6969, 186, 7396, 653, 71, 6620, 578, 2776, 9782, 89, 4970, 93, 31, 93, 89, 93, 14, 93, 90, 2293, 2549, 9, 18, 406, 90, 4613, 89, 186, 9, 19, 406, 7992, 4613, 17, 474, 919, 396, 313, 538, 911, 10884, 640, 4506, 341, 2445, 289, 1628, 359, 9565, 911, 2828, 1250, 255, 344, 2428, 939, 326, 516, 270, 859, 640, 1552, 4366, 697, 2445, 289, 1628, 363, 9565, 1232, 396, 558, 326, 538, 6518, 396, 558, 326, 516, 909, 2251, 6393, 870, 585, 697, 253, 8859, 2572, 536, 1999, 8619, 375, 461, 276, 480, 1576, 2549, 5810, 32158, 1942, 89, 30, 18, 16, 19, 255, 90, 30, 18, 16, 20, 1806, 27259, 93, 18, 16, 19, 14, 18, 16, 20, 93, 30, 18, 16, 23, 289, 9782, 18, 16, 19, 93, 14, 93, 18, 16, 20, 93, 30, 18, 16, 23, 186, 23869, 474, 23337, 3656, 5070, 474, 17417, 17151, 25, 1726, 17, 4048, 7546, 414, 17, 474, 7208, 24923, 186, 14235, 414, 6858, 14669, 64, 971, 26, 186, 13194, 414, 21, 1212, 9129, 474, 17417, 17151, 12696, 21481, 1726, 17, 4048, 7546, 414, 14070, 2813, 474, 1984, 7054, 15538, 474, 1623, 4584, 64, 993, 20, 255, 8245, 27, 6194, 186, 23337, 3656, 5070, 6620, 578, 7396, 653, 71, 6620, 578, 2776, 9782, 89, 4970, 93, 31, 93, 89, 93, 14, 93, 90, 2293, 2549, 9, 18, 406, 90, 4613, 89, 186, 9, 19, 406, 7992, 4613, 17, 474, 919, 396, 313, 538, 911, 10884, 640, 4506, 341, 2445, 289, 1628, 359, 9565, 911, 2828, 1250, 255, 344, 2428, 939, 326, 516, 270, 859, 640, 1552, 4366, 697, 2445, 289, 1628, 363, 9565, 1232, 396, 558, 326, 538, 6518, 396, 558, 326, 516, 909, 2251, 6393, 870, 585, 697, 253, 8859, 2572, 536, 1999, 8619, 375, 461, 276, 480, 1576, 2549, 5810, 32158, 1942, 89, 30, 18, 16, 19, 255, 90, 30, 18, 16, 20, 1806, 27259, 93, 18, 16, 19, 14, 18, 16, 20, 93, 30, 18, 16, 23, 289, 9782, 18, 16, 19, 93, 14, 93, 18, 16, 20, 93, 30, 18, 16, 23, 474, 340, 1120, 313, 341, 1422, 580, 18, 16, 19, 289, 342, 580, 18, 16, 20, 582, 461, 13819, 1422, 90, 4613, 17, 356, 344, 1508, 4335, 1436, 23869, 474, 17417, 17151, 12696, 21481, 1726, 17, 4048, 7546, 414, 14070, 2813, 474, 10863, 264, 292, 20774, 18903, 1048, 28882, 186, 14235, 414, 1456, 7364, 64, 993, 17, 186, 13194, 414, 24, 5058, 17, 474, 17417, 17151, 19894, 3019, 1726, 18, 4048, 7546, 414, 22374, 474, 17263, 414, 49, 2517, 255, 13710, 474, 1984, 7054, 15538, 474, 1623, 4584, 64, 993, 20, 255, 4941, 27, 3019, 186, 18, 186, 44, 15109, 4253, 186, 30449, 709, 1833, 186, 23337, 3656, 5070, 6620, 578, 7396, 653, 71, 6620, 578, 2776, 9782, 89, 4970, 93, 31, 93, 89, 93, 14, 93, 90, 2293, 2549, 9, 18, 406, 90, 4613, 89, 186, 9, 19, 406, 7992, 4613, 17, 474, 919, 396, 313, 538, 911, 10884, 640, 4506, 341, 2445, 289, 1628, 359, 9565, 911, 2828, 1250, 255, 344, 2428, 939, 326, 516, 270, 859, 640, 1552, 4366, 697, 2445, 289, 1628, 363, 9565, 1232, 396, 558, 326, 538, 6518, 396, 558, 326, 516, 909, 2251, 6393, 870, 585, 697, 253, 8859, 2572, 536, 1999, 8619, 375, 461, 276, 480, 1576, 2549, 5810, 32158, 1942, 89, 30, 18, 16, 19, 255, 90, 30, 18, 16, 20, 1806, 27259, 93, 18, 16, 19, 14, 18, 16, 20, 93, 30, 18, 16, 23, 289, 9782, 18, 16, 19, 93, 14, 93, 18, 16, 20, 93, 30, 18, 16, 23, 474, 673, 313, 538, 1262, 861, 360, 693, 253, 878, 272, 4335, 64, 19, 255, 1129, 409, 2222, 3929, 7326, 255, 93, 89, 4970, 2293, 262, 2898, 730, 9782, 89, 93, 14, 93, 90, 93, 18615, 9, 19, 406, 7992, 4613, 17, 186, 600, 1633, 341, 650, 272, 1422, 289, 342, 313, 2451, 289, 253, 612, 313, 2962, 270, 1065, 2524, 1409, 1422, 580, 18, 16, 19, 289, 342, 580, 18, 16, 20, 314, 673, 313, 461, 697, 8619, 16, 9445, 391, 270, 673, 313, 697, 2451, 16, 12760, 1982, 356, 2154, 787, 2084, 359, 697, 2451, 16, 12760, 1982, 680, 1316, 1422, 90, 4613, 17, 255, 93, 89, 4970, 93, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12666, 271, 4169, 580, 28928, 11348, 11121, 1764, 258, 414, 340, 4845, 272, 253, 10364, 2899, 32572, 72, 715, 1952, 2456, 270, 11205, 11602, 14401, 877, 706, 1398, 279, 289, 2245, 80, 10001, 27914, 414, 1954, 86, 2070, 289, 22995, 11793, 270, 5662, 1192, 433, 7492, 4596, 81, 350, 260, 255, 8789, 80, 5443, 81, 8078, 289, 14822, 368, 74, 1028, 395, 76, 2112, 484, 1317, 270, 46, 3832, 14171, 2214, 402, 4689, 23019, 3832, 85, 3832, 10364, 2899, 16875, 2046, 541, 258, 798, 64, 27618, 649, 41, 1847, 1059, 74, 64, 971, 18, 270, 3982, 22, 1469, 4355, 23, 314, 47, 35, 270, 340, 19700, 1509, 248, 1831, 5944, 356, 332, 22828, 406, 25238, 1525, 1889, 285, 253, 10284, 4169, 255, 1758, 800, 6564, 255, 6202, 1249, 2010, 375, 13900, 270, 34, 8055, 272, 5562, 12254, 356, 52, 7439, 17242, 14878, 31350, 12411, 255, 1184, 864, 355, 24925, 1777, 864, 14, 406, 505, 3583, 276, 253, 2925, 4169, 314, 1132, 1987, 248, 1415, 966, 272, 1412, 28692, 902, 9641, 697, 253, 2240, 2183, 272, 253, 10364, 2899, 32572, 72, 9915, 356, 54, 1398, 279, 406, 15319, 2456, 270, 340, 4931, 2084, 409, 326, 19074, 363, 4639, 270, 21539, 255, 1432, 359, 253, 10364, 2899, 32572, 72, 9915, 5816, 2398, 285, 973, 612, 255, 263, 596, 6390, 255, 1432, 359, 640, 5123, 10313, 911, 21661, 255, 1529, 543, 253, 16398, 9996, 272, 7306, 272, 253, 10364, 2899, 32572, 72, 9915, 2456, 911, 14797, 315, 255, 2446, 1822, 253, 965, 14401, 877, 10364, 2899, 32572, 72, 9915, 289, 2245, 80, 10001, 27914, 1409, 1741, 911, 32751, 315, 255, 2752, 359, 253, 22464, 335, 248, 12838, 4474, 2246, 877, 10364, 2899, 32572, 72, 9915, 289, 2245, 80, 10001, 27914, 911, 673, 672, 326, 2322, 341, 285, 632, 755, 2084, 917, 313, 650, 2496, 2428, 1175, 276, 973, 1576, 1213, 253, 2496, 289, 253, 16527, 6880, 1267, 3074, 4890, 270, 600, 4488, 9223, 285, 2286, 248, 2147, 9410, 272, 783, 272, 253, 1800, 341, 7849, 777, 285, 17652, 276, 253, 2264, 255, 6202, 2779, 721, 4366, 272, 1967, 17221, 2491, 375, 16807, 285, 632, 1156, 13496, 276, 253, 2035, 314, 859, 536, 2415, 255, 292, 536, 939, 255, 8006, 253, 4292, 1472, 1184, 864, 27888, 1306, 332, 1472, 250, 25487, 1115, 1306, 28853, 255, 264, 313, 2095, 28550, 1013, 341, 31070, 2748, 5306, 476, 838, 2191, 5816, 255, 332, 6040, 3041, 272, 248, 2191, 1952, 359, 6734, 289, 1440, 255, 822, 359, 4245, 366, 1213, 4182, 14401, 11585, 15722, 272, 253, 1952, 1666, 289, 4759, 14401, 5045, 285, 12375, 270, 34, 2191, 31070, 27888, 255, 549, 285, 4036, 255, 11486, 476, 838, 248, 5999, 16804, 24392, 270, 18174, 5392, 943, 276, 253, 1959, 272, 16804, 265, 3641, 255, 822, 313, 248, 2555, 1175, 461, 248, 4982, 2559, 335, 277, 4394, 3084, 4310, 272, 253, 31070, 27888, 721, 248, 966, 272, 14363, 5816, 270, 11539, 255, 2723, 5816, 359, 2966, 705, 341, 253, 31197, 16804, 84, 877, 253, 1266, 16804, 84, 272, 253, 31070, 27888, 15463, 882, 20475, 8314, 285, 253, 1266, 16804, 84, 375, 612, 5816, 255, 822, 12106, 2132, 27961, 4175, 341, 409, 929, 3056, 11550, 315, 3782, 973, 612, 1175, 3937, 285, 1440, 10668, 270, 7691, 370, 1376, 980, 255, 1660, 255, 344, 14653, 272, 31197, 16804, 84, 1889, 253, 4469, 272, 16804, 84, 285, 5816, 314, 340, 6296, 272, 253, 20315, 21114, 1363, 248, 1952, 2456, 409, 1020, 326, 11939, 276, 253, 9805, 3481, 1222, 255, 4714, 396, 313, 1156, 285, 1927, 276, 2605, 341, 253, 3481, 1222, 313, 461, 248, 2633, 272, 4474, 2246, 1175, 248, 1633, 272, 30658, 396, 270, 1132, 313, 652, 929, 777, 285, 7159, 341, 253, 2115, 272, 253, 3481, 1222, 1349, 2195, 326, 7562, 255, 1229, 1255, 4800, 5696, 721, 871, 9886, 255, 772, 248, 3481, 366, 2032, 2931, 9886, 313, 2191, 289, 1350, 3984, 276, 253, 1576, 272, 248, 1952, 2456, 5174, 7696, 6686, 4961, 285, 326, 253, 943, 272, 248, 4081, 7306, 453, 253, 3345, 1952, 1666, 285, 902, 8588, 270, 12171, 2899, 32572, 72, 9915, 289, 2245, 80, 10001, 27914, 359, 6081, 3401, 272, 942, 3593, 26889, 389, 1952, 5440, 255, 772, 917, 313, 248, 2732, 276, 253, 12385, 272, 8869, 270, 340, 10364, 2899, 32572, 72, 9915, 2456, 255, 822, 313, 253, 1933, 341, 313, 826, 431, 6950, 785, 1868, 4010, 272, 706, 1398, 279, 255, 262, 3763, 2195, 10313, 3675, 285, 248, 7562, 3481, 1222, 255, 822, 313, 1625, 345, 253, 4469, 272, 253, 579, 8250, 813, 1952, 363, 253, 16415, 1120, 272, 253, 1247, 670, 1923, 9183, 314, 465, 612, 1909, 255, 264, 313, 248, 25302, 3894, 285, 7159, 341, 248, 2167, 8298, 11965, 248, 3084, 4310, 272, 253, 31070, 27888, 255, 332, 341, 277, 4546, 313, 12562, 1342, 1363, 253, 2456, 13960, 285, 277, 2240, 1952, 9617, 270, 5432, 277, 2023, 313, 6040, 272, 7849, 891, 1358, 386, 345, 248, 7562, 8869, 255, 772, 582, 461, 6820, 341, 253, 5154, 13810, 272, 818, 1889, 1349, 476, 838, 248, 31070, 27888, 696, 543, 2865, 8046, 433, 6734, 270, 5934, 255, 344, 4072, 272, 30147, 17341, 276, 248, 7562, 8869, 313, 3369, 3958, 3540, 255, 3106, 2987, 1952, 9311, 1349, 476, 1940, 4546, 1331, 2770, 730, 253, 16398, 313, 12562, 1342, 261, 14519, 253, 1952, 1666, 314, 12171, 2899, 32572, 72, 9915, 5816, 255, 247, 253, 13278, 408, 2699, 272, 253, 2285, 255, 22271, 248, 1831, 4438, 9036, 4147, 255, 2160, 799, 15309, 7695, 255, 344, 966, 272, 24888, 299, 1385, 78, 3380, 4961, 4059, 730, 543, 3101, 5220, 356, 10245, 73, 445, 258, 64, 2586, 18, 649, 52, 2272, 484, 2101, 19072, 64, 2586, 25, 795, 8500, 375, 461, 917, 724, 12476, 789, 453, 2245, 80, 10001, 27914, 341, 3465, 285, 632, 9886, 272, 10364, 2899, 32572, 72, 9915, 3483, 13634, 1165, 271, 255, 262, 1804, 1285, 12055, 1175, 253, 1576, 335, 942, 12476, 789, 4224, 3958, 2352, 356, 44, 80, 405, 2108, 73, 864, 64, 1605, 18, 649, 51, 3832, 1313, 74, 64, 2586, 23, 255, 2586, 25, 795, 2447, 7849, 4407, 345, 1021, 4366, 272, 253, 1369, 864, 6932, 247, 2899, 32572, 72, 9915, 3458, 746, 255, 1534, 359, 652, 902, 6880, 697, 2032, 4931, 2084, 270, 340, 3012, 25341, 2115, 313, 255, 6591, 16535, 255, 19507, 6257, 255, 332, 1464, 2063, 272, 28488, 265, 12086, 409, 326, 3958, 24867, 31852, 276, 1369, 864, 6932, 247, 2899, 32572, 72, 9915, 255, 11739, 248, 1031, 272, 1576, 12086, 289, 871, 4753, 272, 2721, 28488, 261, 356, 10245, 73, 445, 258, 64, 2586, 19, 795, 340, 2721, 28488, 261, 255, 247, 1829, 255, 2251, 326, 12165, 363, 12038, 3041, 272, 253, 10364, 2899, 32572, 72, 9915, 1952, 2456, 255, 3106, 345, 253, 650, 1648, 255, 1449, 359, 12576, 2512, 285, 326, 7508, 363, 2624, 272, 845, 32178, 1405, 2862, 272, 2721, 20835, 84, 255, 332, 345, 253, 612, 1648, 255, 5127, 8961, 2525, 251, 1525, 3301, 515, 409, 326, 31852, 276, 253, 746, 272, 6590, 389, 28488, 261, 448, 2082, 356, 10245, 73, 445, 258, 64, 2586, 19, 823, 549, 640, 1168, 2865, 1168, 720, 285, 6649, 783, 272, 556, 3345, 845, 32178, 22629, 1841, 1485, 818, 2028, 565, 26472, 272, 253, 31070, 27888, 270, 13946, 16005, 255, 3151, 80, 10001, 27914, 313, 8046, 433, 248, 1031, 272, 2721, 28488, 261, 366, 248, 2011, 4713, 255, 332, 396, 1560, 6808, 4703, 285, 1190, 253, 1575, 6860, 314, 465, 253, 3828, 7562, 8869, 272, 253, 10364, 2899, 32572, 72, 9915, 356, 54, 1398, 279, 406, 13066, 356, 475, 277, 16981, 255, 3032, 610, 11946, 76, 5611, 258, 64, 2586, 20, 414, 8973, 255, 2586, 21, 414, 25, 823, 1534, 359, 871, 6193, 272, 31070, 27888, 270, 47, 473, 272, 713, 356, 1777, 864, 4538, 66, 12411, 255, 1777, 864, 6932, 247, 8193, 255, 1777, 864, 6083, 687, 12124, 255, 1777, 864, 6083, 740, 255, 1777, 864, 6499, 848, 992, 255, 1777, 864, 7215, 2622, 4852, 255, 1777, 864, 6083, 527, 74, 255, 1777, 864, 13664, 73, 417, 90, 255, 332, 1369, 864, 4538, 353, 1165, 271, 823, 6755, 1687, 363, 253, 10061, 6897, 276, 248, 3481, 2854, 255, 1826, 7330, 1583, 7425, 453, 973, 612, 289, 453, 556, 1354, 28912, 263, 356, 1777, 864, 32572, 1398, 279, 823, 1229, 248, 1539, 966, 272, 8385, 17341, 270, 340, 612, 22814, 31070, 2748, 5306, 356, 1777, 864, 6932, 247, 2899, 32572, 72, 9915, 255, 1777, 864, 6932, 247, 2899, 6499, 848, 992, 255, 1777, 864, 6932, 247, 2899, 14, 6894, 9905, 279, 255, 1777, 864, 6932, 247, 2899, 4538, 66, 12411, 255, 1777, 864, 32572, 72, 9915, 255, 1777, 864, 14, 6506, 32572, 72, 9915, 255, 332, 1369, 864, 14, 6894, 9905, 279, 406, 505, 2861, 17527, 272, 253, 10693, 1020, 1834, 18678, 9886, 255, 332, 2483, 5448, 2365, 620, 3697, 838, 4230, 335, 713, 270, 41, 11946, 76, 5611, 258, 356, 2586, 21, 406, 81, 4875, 248, 5387, 18500, 272, 253, 3428, 1214, 789, 356, 12171, 2899, 32572, 72, 9915, 255, 12171, 2899, 6499, 848, 992, 255, 332, 10364, 2899, 14, 6894, 9905, 279, 406, 292, 640, 359, 1804, 1625, 345, 792, 30432, 6126, 19074, 276, 253, 64, 683, 380, 3227, 255, 332, 11121, 1764, 258, 356, 971, 19, 406, 11398, 86, 717, 253, 11440, 397, 806, 253, 7573, 254, 847, 17527, 270, 12261, 317, 26868, 356, 2586, 19, 823, 2003, 3074, 272, 942, 11635, 31070, 2748, 5306, 363, 10364, 2899, 6499, 848, 992, 289, 10364, 2899, 14, 6894, 9905, 279, 255, 68, 11794, 713, 359, 265, 4474, 4175, 4010, 255, 85, 407, 264, 315, 17254, 253, 3078, 7427, 877, 10364, 2899, 32572, 72, 9915, 289, 13634, 1165, 271, 255, 772, 396, 313, 2261, 285, 1200, 811, 10364, 2899, 32572, 72, 9915, 939, 13437, 248, 902, 1778, 289, 2096, 255, 475, 4040, 255, 54, 72, 287, 4538, 353, 1165, 271, 356, 1758, 21831, 4852, 255, 46, 527, 74, 255, 44, 73, 417, 90, 255, 332, 13634, 1165, 271, 406, 7387, 461, 326, 277, 359, 265, 4474, 3154, 4742, 844, 10364, 2899, 6499, 848, 992, 289, 10364, 2899, 14, 6894, 9905, 279, 314, 1130, 285, 253, 31318, 3468, 272, 253, 6658, 3078, 7427, 255, 2899, 3458, 1889, 724, 7950, 285, 253, 11635, 10364, 2899, 32572, 72, 9915, 1115, 356, 332, 253, 1112, 543, 7607, 2987, 697, 253, 612, 7562, 6897, 363, 1020, 406, 12078, 253, 3520, 1996, 433, 6722, 73, 445, 258, 356, 2586, 18, 406, 332, 393, 2272, 484, 2101, 19072, 356, 2586, 25, 406, 3255, 476, 2876, 4230, 248, 8055, 272, 19850, 729, 3458, 1889, 8385, 272, 253, 11635, 1943, 270, 34, 1415, 7843, 313, 2843, 433, 393, 2272, 484, 2101, 19072, 356, 1605, 25, 414, 17685, 1469, 14688, 406, 247, 1055, 6474, 272, 253, 4996, 4713, 272, 253, 24560, 12411, 5816, 414, 6442, 285, 2327, 255, 1534, 359, 871, 10364, 2899, 32572, 72, 9915, 255, 6482, 10364, 2899, 6499, 848, 992, 255, 623, 10364, 2899, 14, 6894, 9905, 279, 255, 332, 1464, 10364, 2899, 4538, 66, 12411, 3458, 1889, 649, 344, 4394, 966, 313, 255, 2691, 255, 8304, 255, 3106, 783, 272, 713, 2076, 902, 11153, 375, 1980, 272, 253, 1112, 901, 270, 673, 313, 1199, 2261, 285, 1200, 755, 1528, 363, 352, 7461, 414, 247, 783, 2162, 396, 672, 326, 248, 1949, 272, 277, 22528, 2966, 433, 15916, 3164, 649, 247, 612, 2162, 917, 359, 1798, 1831, 299, 1385, 78, 3380, 285, 4550, 253, 4394, 3413, 272, 253, 8298, 649, 332, 366, 3217, 285, 253, 10364, 2899, 4538, 66, 12411, 3458, 1889, 356, 18, 406, 332, 356, 19, 406, 292, 834, 1192, 433, 393, 2272, 484, 2101, 19072, 356, 1605, 25, 414, 14688, 823, 1534, 359, 929, 14739, 335, 31058, 341, 640, 6013, 10364, 8193, 356, 19941, 270, 52, 2272, 484, 2101, 19072, 64, 1605, 25, 414, 6870, 795, 340, 1831, 3458, 1889, 5185, 253, 2183, 272, 27493, 255, 332, 1894, 396, 313, 2987, 341, 6722, 73, 445, 258, 289, 393, 2272, 484, 2101, 19072, 476, 1509, 17108, 3552, 276, 480, 2035, 255, 2899, 9763, 3880, 272, 17341, 476, 838, 4546, 363, 3960, 255, 332, 7849, 844, 5479, 710, 319, 80, 356, 1605, 23, 406, 3980, 28395, 277, 7719, 892, 4916, 272, 253, 1480, 272, 27493, 314, 340, 4546, 3468, 335, 253, 3078, 7427, 313, 255, 2691, 255, 1297, 3458, 1889, 1175, 253, 966, 272, 5661, 9036, 414, 264, 313, 277, 4365, 258, 4049, 1057 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2928, 341, 536, 476, 12147, 3187, 255, 27461, 398, 289, 8846, 276, 783, 2317, 255, 264, 313, 1199, 18486, 268, 285, 11670, 341, 24361, 313, 1798, 2718, 285, 253, 6910, 705, 396, 313, 1798, 4287, 335, 1372, 363, 536, 812, 396, 270, 29205, 313, 1798, 2501, 2634, 453, 253, 6910, 705, 396, 313, 1798, 4402, 255, 332, 255, 292, 253, 12233, 307, 3899, 5134, 90, 85, 1318, 4623, 255, 15299, 313, 1215, 253, 1250, 3264, 453, 849, 6910, 255, 24685, 1798, 4287, 4594, 1798, 4402, 285, 1360, 1372, 270, 600, 313, 253, 12486, 272, 253, 2049, 272, 253, 12233, 307, 3899, 24596, 255, 66, 1661, 3264, 453, 248, 5296, 276, 696, 248, 4685, 12022, 1215, 2512, 1606, 285, 1360, 4792, 1071, 345, 800, 2005, 255, 332, 4133, 255, 6554, 314, 1452, 255, 347, 536, 2128, 697, 755, 1464, 10006, 335, 248, 4306, 255, 581, 1560, 5749, 783, 8635, 285, 480, 2946, 270, 3888, 272, 632, 255, 999, 755, 10006, 255, 5014, 3187, 620, 248, 1737, 5476, 2035, 341, 15907, 800, 5820, 453, 4977, 2543, 270, 3013, 911, 673, 313, 480, 5820, 341, 19372, 717, 3187, 554, 5331, 289, 2829, 4792, 1071, 285, 1987, 255, 9116, 64, 17, 7697, 289, 64, 1504, 7697, 270, 2164, 8846, 255, 1229, 929, 5476, 2035, 255, 1274, 5820, 341, 672, 476, 3135, 14203, 620, 838, 4602, 5941, 2634, 806, 253, 299, 722, 433, 4977, 14929, 270, 6341, 2005, 313, 1657, 883, 87, 3015, 433, 22064, 289, 612, 4977, 5214, 270, 15299, 313, 652, 253, 914, 4685, 341, 20426, 5849, 28464, 14966, 289, 480, 1633, 341, 6578, 289, 9632, 409, 4240, 721, 902, 3080, 255, 14348, 556, 11743, 8282, 8222, 1087, 1363, 1953, 26869, 270, 974, 1123, 255, 12160, 8117, 313, 19372, 483, 433, 253, 3150, 4240, 345, 3187, 289, 480, 11591, 248, 2006, 15015, 10423, 937, 255, 822, 4224, 285, 476, 6953, 345, 24361, 255, 84, 2419, 800, 2005, 5331, 8596, 15132, 7398, 725, 285, 697, 64, 31457, 7697, 314, 7107, 3264, 453, 253, 6910, 476, 4599, 285, 582, 366, 22696, 2966, 4438, 3706, 395, 375, 5849, 28464, 4476, 3390, 911, 7107, 811, 248, 4685, 831, 1869, 800, 2770, 5035, 1202, 911, 2522, 25327, 3269, 2240, 345, 276, 248, 4685, 554, 1372, 1836, 800, 2770, 5035, 1202, 363, 1331, 375, 596, 730, 800, 3264, 453, 800, 5296, 911, 974, 1123, 255, 14889, 3187, 554, 2005, 1071, 2404, 453, 1363, 3187, 375, 1822, 396, 2404, 453, 29154, 6503, 1305, 253, 2465, 10350, 28975, 538, 6055, 526, 377, 911, 2927, 554, 1200, 904, 253, 12233, 307, 3899, 24596, 2633, 620, 285, 3703, 276, 2377, 272, 20177, 755, 2084, 314, 1099, 253, 12233, 307, 3899, 24596, 3166, 186, 340, 12233, 307, 3899, 24596, 375, 3637, 3726, 7865, 313, 255, 10579, 980, 255, 344, 13414, 272, 871, 4608, 276, 1932, 341, 1349, 1213, 326, 8813, 28348, 285, 1372, 270, 2080, 3286, 313, 18186, 285, 253, 18439, 746, 272, 1679, 289, 253, 612, 3286, 313, 1224, 480, 746, 6278, 1363, 800, 13828, 270, 340, 7865, 1591, 248, 5296, 255, 4629, 1747, 253, 5137, 30761, 3637, 3726, 7865, 375, 6043, 13881, 255, 262, 1224, 253, 5296, 554, 1606, 3034, 2829, 335, 1071, 285, 1987, 363, 248, 4792, 3191, 730, 18541, 375, 19235, 2634, 270, 340, 6776, 9783, 3637, 3726, 7865, 313, 248, 7006, 341, 313, 1339, 366, 248, 3783, 596, 8343, 9479, 1096, 730, 253, 6043, 13881, 7865, 270, 340, 2946, 1868, 313, 341, 253, 4223, 272, 253, 6129, 7432, 276, 1331, 253, 1112, 1119, 363, 248, 5296, 1147, 276, 253, 6043, 13881, 7865, 270, 340, 8813, 28348, 7865, 1349, 1987, 2718, 2512, 285, 8279, 2512, 6391, 2711, 285, 831, 248, 3637, 3726, 4685, 1175, 2501, 2512, 2634, 285, 326, 7582, 453, 5214, 453, 253, 6776, 9783, 9996, 270, 13123, 1343, 375, 30208, 1109, 1987, 1363, 480, 16077, 271, 3286, 289, 9000, 1360, 3150, 2566, 1372, 270, 1452, 255, 264, 313, 1156, 285, 5029, 341, 10006, 1363, 253, 12233, 307, 3899, 24596, 672, 461, 632, 326, 3637, 3726, 270, 974, 1123, 255, 18160, 328, 29067, 276, 480, 7865, 359, 12199, 285, 1360, 1372, 314, 340, 12233, 307, 3899, 6182, 1343, 7060, 608, 5234, 70, 64, 6923, 18, 186, 340, 3117, 23044, 5296, 255, 40, 5234, 70, 64, 6923, 18, 255, 262, 272, 1829, 1679, 285, 4377, 7755, 12233, 307, 3899, 10006, 1262, 396, 620, 248, 18439, 746, 289, 650, 4685, 276, 1829, 255, 1554, 10005, 1363, 253, 12233, 307, 3899, 24596, 270, 600, 2570, 3630, 289, 11405, 433, 253, 4666, 12748, 26124, 356, 40, 5234, 70, 64, 6923, 18, 554, 18439, 746, 313, 3173, 276, 2317, 345, 480, 16745, 2924, 406, 3244, 4197, 3187, 554, 289, 608, 5234, 70, 554, 12233, 307, 3899, 10006, 314, 7513, 9794, 13283, 285, 4666, 12748, 26124, 680, 1065, 409, 1200, 341, 1213, 3187, 289, 8846, 359, 1363, 253, 12233, 307, 3899, 24596, 366, 24361, 1215, 345, 253, 6727, 5683, 272, 396, 270, 40, 5234, 70, 64, 6923, 18, 328, 6278, 1020, 1363, 253, 3637, 3726, 7865, 1591, 800, 5296, 255, 1229, 608, 5234, 70, 64, 6923, 18, 259, 289, 608, 5234, 70, 64, 6923, 18, 284, 4052, 1813, 1954, 253, 7865, 270, 12644, 4733, 2871, 632, 1464, 381, 28944, 1343, 363, 9000, 1372, 31503, 268, 255, 1229, 9010, 515, 270, 40, 5234, 70, 64, 6923, 18, 328, 4961, 285, 326, 248, 4425, 10319, 335, 15426, 1372, 270, 1452, 255, 21120, 2589, 6704, 341, 396, 672, 326, 244, 322, 753, 18663, 255, 7796, 341, 650, 2097, 2195, 10443, 800, 5296, 270, 1696, 532, 939, 652, 4399, 341, 1213, 10006, 328, 289, 273, 359, 7163, 363, 637, 5987, 2967, 271, 1262, 640, 476, 461, 838, 7643, 433, 892, 3719, 6502, 1465, 1780, 270, 465, 1213, 4977, 1716, 255, 10606, 1343, 942, 363, 608, 5234, 70, 64, 6923, 18, 273, 289, 20032, 582, 461, 4475, 2512, 4977, 5214, 285, 1039, 725, 335, 9989, 729, 10316, 255, 332, 2005, 1071, 2072, 21635, 270, 13123, 1343, 942, 363, 608, 5234, 70, 64, 6923, 18, 299, 289, 29357, 255, 251, 253, 612, 1648, 255, 18818, 67, 1798, 1331, 4977, 5214, 289, 818, 2005, 1071, 3322, 2135, 3113, 2634, 270, 5973, 276, 2605, 341, 253, 12233, 307, 3899, 24596, 1349, 326, 5966, 335, 973, 5296, 746, 1625, 345, 253, 1606, 3034, 272, 341, 5296, 270, 340, 12233, 307, 3899, 24596, 335, 608, 5234, 70, 64, 6923, 18, 313, 1331, 8097, 285, 253, 5296, 730, 849, 6910, 554, 3637, 3726, 7865, 270, 40, 5234, 70, 64, 6923, 18, 620, 914, 64, 17, 15, 19, 1186, 999, 253, 3568, 22169, 15863, 272, 849, 6910, 356, 772, 1894, 849, 6910, 9989, 717, 7422, 276, 253, 6561, 7254, 255, 40, 5234, 70, 64, 6923, 18, 9989, 717, 7422, 276, 253, 2625, 14834, 255, 7796, 341, 12749, 396, 313, 1331, 273, 426, 368, 730, 253, 6910, 396, 3815, 1042, 248, 1331, 2031, 6461, 272, 800, 5214, 363, 2833, 730, 253, 6910, 1147, 795, 600, 11330, 2570, 3815, 360, 277, 2946, 272, 811, 253, 12233, 307, 3899, 24596, 356, 25845, 363, 248, 3907, 14857, 406, 262, 4442, 433, 253, 4076, 5296, 554, 1606, 3034, 314, 5133, 12901, 8528, 25092, 19025, 186, 340, 31225, 8528, 26124, 14128, 433, 11330, 276, 64, 971, 26, 313, 3128, 285, 6098, 3187, 5544, 10006, 30216, 1363, 253, 3637, 3726, 12329, 272, 612, 6548, 276, 253, 26565, 13740, 13828, 270, 600, 313, 31225, 554, 9866, 5296, 2035, 255, 5014, 64, 18, 16, 5878, 380, 272, 253, 4273, 8596, 255, 68, 485, 22569, 272, 11330, 314, 959, 582, 461, 3960, 476, 253, 4190, 285, 3233, 8985, 755, 10006, 1175, 536, 409, 3839, 713, 20102, 433, 5367, 17576, 276, 20075, 272, 612, 1266, 3975, 6548, 270, 15502, 291, 12974, 276, 20075, 5043, 650, 375, 596, 10006, 289, 3824, 30208, 19728, 253, 5296, 554, 2005, 270, 600, 11330, 2570, 2838, 811, 480, 2104, 314, 465, 11467, 64, 993, 18, 255, 344, 31225, 8528, 26124, 25092, 15235, 6958, 248, 1567, 272, 64, 10365, 22, 1575, 381, 28944, 1343, 255, 1229, 64, 7722, 272, 713, 1285, 1213, 3187, 1901, 276, 2091, 289, 3989, 1363, 253, 12233, 307, 3899, 24596, 270, 600, 64, 728, 956, 1764, 1264, 11330, 3823, 15520, 471, 285, 253, 31225, 25092, 314, 600, 313, 248, 1199, 11377, 720, 335, 23358, 270, 1294, 1528, 476, 5066, 4377, 285, 6200, 335, 253, 965, 720, 341, 697, 64, 23, 1186, 999, 632, 6548, 4076, 3187, 22577, 10006, 289, 64, 683, 1186, 999, 632, 6548, 4076, 2593, 10006, 270, 16337, 1084, 8309, 393, 707, 2890, 513, 553, 14226, 341, 255, 7377, 345, 253, 31225, 4471, 255, 1534, 359, 448, 2082, 64, 1428, 13, 1637, 3637, 3726, 15055, 1363, 248, 9567, 1590, 1233, 272, 3187, 2276, 3449, 462, 3796, 5399, 8607, 12233, 307, 3899, 6182, 1343, 879, 959, 777, 285, 5418, 253, 5894, 272, 253, 31225, 25092, 381, 28944, 1343, 289, 285, 1190, 713, 276, 596, 2317, 289, 335, 341, 536, 558, 777, 248, 892, 5085, 272, 23699, 17302, 16943, 285, 1190, 381, 28944, 1343, 270, 9330, 942, 17302, 476, 838, 4808, 289, 8173, 8297, 8639, 270, 340, 16946, 255, 66, 4666, 8528, 13957, 9662, 10203, 6843, 255, 3028, 4808, 1175, 651, 325, 5941, 276, 64, 971, 24, 255, 3106, 272, 5562, 289, 8639, 1800, 270, 673, 916, 476, 7643, 381, 28944, 1343, 289, 1232, 5542, 642, 596, 5387, 1780, 272, 556, 4573, 11624, 255, 23068, 6390, 335, 253, 4013, 272, 4524, 270, 16503, 1215, 12349, 4524, 1147, 461, 7367, 1676, 1372, 255, 2691, 270, 38, 2332, 66, 255, 623, 272, 20032, 554, 30208, 255, 3489, 248, 5170, 8582, 4524, 5820, 341, 313, 3630, 433, 253, 6347, 20486, 272, 1071, 5760, 356, 1662, 1633, 341, 4977, 5214, 11054, 1071, 5760, 721, 7652, 1076, 8299, 406, 5183, 725, 276, 800, 5820, 270, 1283, 1140, 4524, 3630, 28988, 882, 783, 2505, 272, 23009, 5544, 901, 255, 567, 31684, 1349, 1900, 335, 253, 18571, 4013, 272, 17059, 255, 3669, 289, 3150, 8117, 270, 11104, 3915, 3630, 448, 991, 17289, 363, 396, 313, 345, 516, 2332, 66, 5346, 7436, 11743, 17059, 289, 11591, 800, 12711, 270, 859, 4524, 313, 3630, 1730, 276, 253, 5820, 255, 9342, 882, 23009, 255, 332, 2483, 1071, 5152, 991, 721, 253, 5820, 255, 1660, 917, 359, 929, 11958, 341, 409, 4211, 17059, 270, 3522, 255, 13597, 1657, 3896, 341, 17059, 255, 3669, 289, 3150, 8117, 356, 27945, 335, 23009, 406, 7442, 366, 4524, 16269, 248, 7577, 19710, 573, 977, 276, 277, 15426, 5820, 270, 600, 6843, 916, 476, 8709, 335, 480, 14775, 255, 1229, 253, 608, 5234, 70, 10006, 1285, 1415, 965, 11350, 335, 1190, 314, 3440, 17302, 341, 476, 838, 4808, 289, 651, 325, 5941, 375, 2371, 345, 2871, 1540, 253, 2801, 3970, 84, 25092, 255, 7730, 2086, 48, 255, 344, 8528, 5723, 1842, 5091, 25092, 255, 344, 10197, 14945, 21676, 579, 6170, 289, 253, 5012, 2389, 2064, 28944, 308, 13466, 13215, 22560, 255, 484, 272, 696, 724, 11970, 448, 2082, 276, 657, 433, 11330, 6667, 335, 13994, 2086, 48, 255, 822, 543, 1750, 11970, 4666, 8528, 13957, 6843, 270, 9732, 1657, 255, 344, 31225, 25092, 255, 17093, 3546, 255, 262, 849, 1763, 381, 28944, 308, 4378, 83, 289, 396, 620, 838, 1199, 4635, 705, 2501, 270, 1130, 849, 2325, 11283, 255, 2723, 17302, 285, 1190, 755, 15055, 558, 26340, 326, 11970, 289, 536, 558, 1700, 4728, 276, 480, 11377, 892, 2035, 272, 1251, 314, 15910, 307, 3899, 24596, 1019, 34, 30564, 1048, 9457, 3673, 186, 465, 253, 7066, 617, 255, 264, 313, 1156, 341, 536, 16726, 849, 2939, 335, 3637, 3726, 10006, 270, 340, 12233, 307, 3899, 24596, 2049, 313, 276, 800, 31354, 289, 396, 558, 326, 18228, 289, 11262, 3017, 363, 536, 1636, 596, 697, 904, 2434, 10006, 3637, 3726, 270, 959, 359, 3463, 341, 1250, 1657, 363, 536, 1190, 253, 27662, 272, 8846, 255, 27461, 398, 289, 3187, 1250, 1868, 276, 849, 1395, 26785, 25221, 3575, 270, 959, 652, 777, 285, 1949, 289, 16726, 849, 4610, 272, 1372, 2778, 270, 1130, 536, 6098, 892, 3080, 272, 1372, 2906, 1485, 6943, 1575, 276, 3617, 6204, 1250, 1868, 345, 3187, 255, 1529, 917, 313, 929, 4524, 375, 5331, 359, 1020, 2151, 18541, 359, 1020, 1861, 253, 19235, 1120, 255, 581, 1349, 1994, 9627, 285, 892, 1575, 3617, 13887, 276, 696, 1372, 10892, 248, 11334, 855, 954, 270, 1696, 536, 1349, 4378, 253, 9524, 272, 1740, 30046, 386, 1910, 341, 672, 461, 326, 1625, 345, 3150, 375, 1071, 448, 632, 270, 3013, 313, 4792, 1071, 705, 1156 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22223, 3556, 64, 2478, 17, 414, 22223, 3556, 356, 9121, 516, 5422, 2140, 400, 364, 15287, 8778, 5952, 406, 262, 253, 3638, 1115, 854, 9130, 285, 1552, 18803, 285, 538, 8887, 1790, 21573, 6934, 6413, 270, 19898, 9759, 272, 30062, 4769, 356, 36, 28215, 406, 262, 253, 9624, 3824, 1036, 2344, 8004, 696, 2708, 253, 22106, 3556, 854, 1255, 935, 276, 2032, 7444, 2348, 253, 3182, 270, 22223, 3556, 854, 313, 248, 27073, 335, 253, 11350, 1288, 891, 9439, 335, 32165, 721, 5826, 1790, 17257, 706, 40, 6413, 7744, 433, 1967, 873, 87, 85, 270, 332, 1602, 355, 22898, 2755, 21571, 272, 253, 3182, 270, 3295, 64, 993, 23, 345, 5169, 255, 34, 5577, 12409, 7262, 620, 838, 29931, 27246, 25229, 433, 22106, 3556, 854, 270, 2281, 2755, 3717, 2196, 1999, 22106, 3556, 5694, 335, 4558, 18803, 276, 538, 8887, 20442, 35, 6934, 6413, 270, 465, 480, 2357, 255, 581, 1552, 248, 2103, 2317, 697, 22106, 3556, 16333, 831, 64, 2478, 17, 255, 350, 330, 2140, 255, 26030, 11396, 255, 26030, 2393, 255, 1615, 732, 18830, 255, 2700, 314, 22223, 3556, 64, 2478, 17, 24122, 186, 1099, 554, 2801, 1048, 22106, 3556, 64, 2478, 17, 879, 859, 360, 359, 12847, 335, 22106, 3556, 64, 2478, 17, 255, 1129, 1349, 812, 253, 1387, 1889, 578, 355, 22223, 3556, 64, 2478, 17, 558, 326, 5580, 276, 2925, 4951, 314, 355, 22223, 3556, 64, 2478, 17, 558, 326, 5580, 7429, 248, 935, 314, 355, 1065, 409, 2141, 335, 1213, 14068, 314, 355, 3403, 1763, 5694, 642, 272, 253, 871, 558, 326, 2621, 314, 355, 9121, 17195, 13957, 1019, 66, 892, 1352, 4462, 1019, 4691, 2871, 253, 854, 4010, 272, 400, 28215, 314, 355, 22223, 3556, 558, 326, 5580, 276, 11467, 289, 5620, 314, 355, 12569, 34, 558, 1039, 2439, 6385, 1895, 448, 309, 3302, 15, 407, 29744, 276, 9434, 270, 3295, 9434, 1275, 255, 6351, 409, 652, 6345, 11427, 5788, 21571, 255, 36, 28215, 2735, 44, 55, 4225, 285, 2439, 314, 355, 8587, 4509, 272, 22106, 3556, 64, 2478, 17, 558, 326, 341, 1172, 558, 461, 6649, 650, 935, 363, 917, 558, 326, 64, 19, 14068, 1485, 18803, 270, 15691, 5694, 558, 326, 785, 335, 943, 314, 355, 12569, 34, 558, 2708, 2653, 1625, 1136, 270, 673, 558, 1039, 14068, 3399, 255, 286, 553, 6430, 255, 20445, 289, 12576, 314, 355, 18557, 732, 18830, 255, 26967, 272, 2084, 255, 22069, 272, 1952, 289, 854, 15639, 558, 461, 1440, 314, 16234, 11396, 272, 22106, 3556, 64, 2478, 17, 476, 838, 17389, 270, 36, 29365, 891, 359, 4829, 285, 2141, 276, 253, 3695, 516, 5422, 2140, 259, 364, 15287, 8778, 5952, 276, 2518, 18765, 375, 5620, 375, 1213, 14068, 409, 4399, 11396, 276, 2891, 1687, 2151, 314, 93, 22223, 3556, 64, 2478, 17, 2427, 22223, 3556, 64, 2478, 17, 356, 19476, 16319, 22223, 3556, 64, 2478, 17, 356, 6343, 14935, 93, 5793, 7532, 272, 2925, 2769, 831, 272, 22106, 3556, 64, 2478, 17, 2427, 11197, 64, 993, 26, 2427, 7083, 64, 2478, 17, 2499, 93, 7833, 4115, 285, 4079, 2427, 11197, 64, 993, 26, 2427, 7083, 64, 2478, 17, 2499, 93, 10940, 327, 275, 2766, 285, 1423, 335, 22106, 3556, 64, 2478, 17, 2427, 1283, 326, 17389, 2427, 1283, 326, 17389, 2499, 93, 7833, 4115, 285, 2133, 25985, 2427, 1283, 326, 17389, 2427, 1283, 326, 17389, 2499, 93, 22223, 3556, 64, 2478, 17, 19376, 12894, 2427, 22512, 64, 2478, 17, 2427, 6343, 64, 2478, 17, 2499, 93, 12569, 34, 285, 3461, 2428, 1774, 255, 18377, 6762, 2427, 1283, 326, 17389, 2427, 1283, 326, 17389, 2499, 93, 7016, 18705, 272, 22106, 3556, 64, 2478, 17, 19025, 2427, 7083, 64, 2478, 17, 2427, 20686, 64, 2478, 17, 2499, 7833, 935, 64, 1551, 13, 2791, 13, 24, 1623, 11350, 1168, 3298, 335, 22106, 3556, 854, 270, 600, 935, 253, 966, 272, 11350, 313, 2237, 285, 326, 2011, 375, 2031, 314, 22223, 3556, 64, 2478, 17, 16333, 6759, 186, 12569, 34, 558, 3461, 22106, 3556, 64, 2478, 17, 16333, 6759, 12765, 335, 18765, 289, 5620, 14068, 270, 36, 29365, 939, 4079, 335, 18765, 289, 3824, 5620, 14068, 363, 604, 556, 4072, 270, 465, 2518, 1576, 255, 484, 11350, 939, 7864, 285, 9003, 21278, 335, 13138, 289, 30145, 2925, 2769, 831, 270, 7265, 13030, 697, 14562, 255, 575, 13138, 15639, 9764, 359, 1687, 2151, 314, 36, 29365, 777, 285, 2846, 9755, 15639, 1844, 1305, 14562, 314, 39, 1481, 409, 326, 8403, 3629, 2925, 4951, 314, 919, 285, 4079, 879, 27094, 285, 10262, 22106, 3556, 64, 2478, 17, 16333, 6759, 558, 326, 3729, 3135, 831, 16667, 270, 1173, 9410, 272, 892, 9003, 4259, 272, 613, 13399, 255, 427, 66, 15, 407, 29744, 313, 1687, 1868, 270, 1065, 409, 1012, 277, 2946, 272, 3984, 3253, 285, 326, 5672, 285, 6162, 289, 10262, 2925, 2769, 831, 453, 1868, 314, 355, 3888, 272, 632, 11350, 476, 285, 6345, 613, 13399, 9003, 4259, 356, 427, 66, 15, 407, 29744, 1436, 355, 1132, 650, 620, 285, 13161, 285, 3695, 516, 5422, 2140, 259, 364, 15287, 8778, 5952, 314, 355, 2164, 22106, 3556, 64, 2478, 17, 2924, 255, 2255, 26207, 289, 17784, 6169, 409, 326, 16916, 363, 604, 8185, 314, 355, 2164, 13919, 14562, 255, 68, 29365, 2802, 345, 22106, 3556, 64, 2478, 17, 5590, 26207, 2924, 1224, 640, 409, 1657, 10714, 289, 6162, 2769, 831, 861, 396, 313, 1363, 2769, 831, 13138, 5778, 314, 355, 7826, 2721, 4366, 255, 14490, 255, 24353, 29759, 289, 612, 1030, 5208, 335, 276, 831, 314, 355, 3136, 14103, 3587, 314, 355, 16705, 2769, 15639, 314, 355, 6330, 341, 632, 4366, 359, 2443, 276, 831, 289, 10262, 396, 314, 22223, 3556, 64, 2478, 17, 16333, 6759, 8460, 9138, 186, 5078, 935, 1172, 1039, 783, 375, 253, 612, 13321, 276, 556, 2769, 831, 270, 3136, 640, 9739, 24362, 315, 335, 2769, 831, 12859, 10279, 285, 2487, 270, 4611, 359, 8533, 285, 1423, 366, 341, 831, 12859, 672, 375, 672, 461, 326, 1895, 270, 1611, 396, 313, 1811, 285, 2806, 4366, 1894, 13138, 22106, 3556, 64, 2478, 17, 2769, 831, 314, 12632, 255, 19684, 12859, 6428, 965, 270, 3136, 12859, 276, 878, 313, 5066, 270, 7229, 3562, 4497, 409, 326, 16041, 314, 7833, 935, 255, 68, 29365, 724, 5066, 285, 12270, 1387, 4366, 276, 831, 578, 355, 11647, 272, 4440, 186, 355, 32513, 272, 7924, 366, 11131, 314, 34, 370, 4367, 282, 8729, 335, 22106, 3556, 64, 2478, 17, 16333, 6759, 186, 20692, 408, 414, 340, 11350, 359, 5066, 285, 4079, 2925, 1655, 416, 370, 4367, 282, 15419, 375, 416, 370, 4367, 282, 3122, 2225, 377, 8561, 882, 4690, 13144, 1880, 966, 393, 835, 363, 542, 312, 15419, 255, 15884, 1533, 255, 28832, 11168, 6733, 270, 263, 612, 4008, 10638, 6836, 356, 5432, 363, 4952, 1582, 17016, 255, 55, 327, 254, 6836, 6965, 4408, 2003, 30145, 253, 2925, 16333, 6759, 314, 36, 29365, 672, 4399, 360, 777, 248, 370, 4367, 282, 3325, 276, 1460, 285, 4079, 335, 22106, 3556, 64, 2478, 17, 270, 7318, 14173, 359, 363, 4639, 314, 355, 2281, 11350, 1349, 4100, 248, 370, 4367, 282, 966, 1894, 13138, 2769, 831, 272, 22106, 3556, 706, 40, 64, 2478, 17, 314, 355, 7765, 891, 359, 3960, 285, 1012, 277, 416, 370, 4367, 282, 15419, 1349, 873, 285, 467, 1148, 377, 9996, 289, 4079, 335, 253, 1112, 314, 355, 1452, 255, 68, 29365, 891, 558, 2141, 335, 22106, 3556, 64, 2478, 17, 453, 876, 79, 44, 255, 4864, 353, 255, 4218, 533, 265, 16920, 409, 693, 1769, 1533, 966, 255, 1512, 3325, 966, 255, 24944, 2110, 966, 375, 818, 612, 4008, 608, 886, 85, 270, 29812, 966, 363, 1114, 363, 640, 2303, 248, 9996, 276, 818, 272, 755, 3276, 314, 36, 29365, 777, 285, 2806, 253, 30696, 14675, 11664, 747, 4758, 1485, 8237, 335, 854, 270, 38, 5422, 2140, 14675, 11664, 747, 4758, 335, 253, 11350, 1288, 891, 1599, 285, 2141, 335, 22106, 3556, 854, 313, 1687, 2151, 578, 25078, 4758, 4198, 3695, 390, 186, 36, 29365, 891, 359, 5842, 888, 453, 818, 272, 253, 1387, 2800, 359, 16426, 285, 4079, 335, 22106, 3556, 64, 2478, 17, 578, 355, 22172, 24274, 888, 186, 355, 7882, 14, 2789, 1013, 18883, 356, 27262, 2776, 680, 355, 48, 2441, 292, 400, 22079, 272, 5615, 356, 8376, 2776, 680, 355, 10662, 722, 272, 6979, 26987, 356, 11738, 12358, 680, 355, 13916, 573, 24274, 888, 186, 25078, 4758, 335, 11071, 13523, 264, 186, 36, 29365, 1349, 20431, 285, 253, 2163, 3560, 335, 22106, 3556, 64, 2478, 17, 7138, 433, 400, 28215, 578, 355, 27532, 11071, 13523, 264, 1019, 340, 10319, 939, 326, 64, 1626, 1233, 272, 2163, 433, 9987, 64, 3841, 255, 2478, 17, 314, 355, 23148, 11071, 13523, 264, 1019, 1132, 313, 929, 4092, 2163, 3560, 335, 277, 1248, 383, 5837, 375, 2235, 5837, 7175, 314, 93, 29042, 2427, 14572, 1042, 12894, 335, 5893, 11071, 2427, 14572, 1042, 4115, 335, 12703, 11071, 2499, 93, 2208, 383, 5837, 356, 5811, 16319, 11147, 345, 375, 1485, 9257, 64, 18, 255, 971, 21, 2427, 11147, 345, 375, 1485, 5620, 64, 8697, 255, 1605, 22, 356, 1623, 1233, 14935, 93, 9506, 16, 3721, 18291, 7336, 2427, 11147, 345, 375, 1485, 9257, 64, 18, 255, 971, 21, 2427, 11147, 345, 375, 1485, 5620, 64, 8697, 255, 1605, 17, 356, 1428, 1233, 14935, 4727, 414, 1130, 604, 7645, 24264, 255, 5811, 400, 15031, 11350, 12284, 1861, 64, 1623, 1233, 409, 652, 4079, 335, 253, 854, 314, 25078, 4758, 335, 22309, 30537, 1880, 186, 7574, 2445, 3578, 313, 253, 3012, 4430, 4371, 854, 255, 772, 253, 4430, 4371, 9020, 9151, 3675, 285, 253, 11350, 1306, 68, 15031, 270, 340, 1387, 7924, 359, 16426, 285, 2286, 253, 854, 578, 355, 36, 29365, 891, 476, 6850, 253, 1247, 2445, 3578, 4430, 4371, 854, 314, 355, 36, 29365, 891, 359, 21392, 335, 253, 1247, 2445, 3578, 4430, 4371, 854, 314, 355, 36, 29365, 1349, 476, 10224, 255, 29211, 255, 35, 4385, 1845, 9713, 15123, 363, 556, 5740, 276, 5468, 2445, 3578, 314, 355, 2281, 11350, 1349, 476, 4349, 253, 2555, 16575, 9020, 276, 253, 4430, 4371, 854, 578, 355, 10082, 400, 15031, 4578, 1489, 1186, 14596, 276, 4430, 4371, 854, 314, 355, 48, 7336, 16, 9506, 16, 3721, 400, 15031, 4578, 2055, 1186, 14596, 276, 4430, 4371, 854, 314, 355, 10082, 355, 12705, 980, 12407, 279, 11113, 400, 15031, 4578, 2950, 1186, 14596, 276, 4430, 4371, 854, 314, 355, 48, 7336, 16, 9506, 16, 3721, 355, 12705, 980, 12407, 279, 11113, 400, 15031, 4578, 2055, 1186, 14596, 276, 4430, 4371, 854, 314, 355, 36, 29365, 777, 285, 6162, 253, 3163, 22106, 3556, 30537, 4371, 32550, 400, 3311, 276, 253, 2925, 2769, 831, 314, 1130, 604, 7645, 24264, 255, 18438, 4253, 11350, 289, 1288, 891, 1652, 271, 335, 10813, 363, 277, 3232, 2168, 359, 1657, 652, 16426, 335, 22106, 3556, 64, 2478, 17, 314, 38, 5422, 2140, 335, 64, 1204, 1186, 2281, 5615, 3265, 11046, 4037, 1921, 335, 22106, 3556, 64, 2478, 17, 186, 1204, 1186, 999, 253, 2468, 22519, 359, 4633, 2255, 483, 363, 5530, 5615, 3265, 11046, 356, 10371, 50, 406, 316, 1921, 270, 1283, 1409, 18803, 3629, 6195, 50, 255, 68, 29365, 777, 285, 1409, 657, 276, 11482, 400, 1792, 24899, 335, 22106, 3556, 5273, 433, 462, 4878, 270, 2631, 64, 19, 24101, 272, 8638, 24899, 255, 347, 818, 22519, 2714, 7595, 417, 775, 6195, 50, 255, 1449, 558, 326, 10407, 721, 4344, 3265, 11046, 22519, 314, 4727, 414, 36, 29365, 453, 876, 7, 44, 359, 461, 16426, 335, 64, 1204, 1186, 2281, 5615, 3265, 11046, 4037, 1921, 289, 640, 558, 476, 285, 10262, 248, 2095, 1503, 446, 18705, 831, 186, 2789, 4345, 775, 64, 1204, 1186, 2281, 5615, 3265, 11046, 186, 355, 9506, 400, 29365, 355, 1204, 13838, 355, 3721, 400, 29365, 355, 24, 15, 22, 13838, 355, 48, 7336, 400, 29365, 356, 7882, 4663, 2342, 90, 3395, 10, 355, 2599, 13838, 355, 36, 29365, 453, 12211, 90, 3395, 1349, 4506, 556, 7175, 363, 1248, 383, 5837, 314, 355, 12705, 980, 12407, 279, 11113, 400, 29365, 355, 20, 13838, 4727, 355, 7765, 16762, 285, 748, 7336, 355, 36, 2342, 90, 24148, 582, 461, 476, 818, 524, 4345, 775, 480, 635, 11046, 314, 38, 5422, 2140, 335, 4344, 3265, 11046, 4037, 1921, 335, 22106, 3556, 64, 2478, 17, 186, 340, 3276, 14920, 276, 22106, 3556, 558, 6162, 6782, 64, 5050, 1186, 999, 556, 19511, 6934, 20915, 8887, 22519, 882, 1402, 8638, 24899, 363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4864, 16953, 253, 937, 272, 7926, 14832, 345, 2005, 1469, 4138, 22676, 5725, 276, 542, 2690, 4241, 329, 17021, 12138, 356, 28297, 16634, 473, 8995, 1019, 17006, 406, 3049, 6615, 7206, 26895, 8320, 289, 7239, 14834, 6041, 186, 355, 18, 25711, 264, 3832, 402, 938, 5308, 18511, 72, 255, 24118, 8844, 255, 3063, 11404, 2350, 255, 45, 8622, 6263, 52, 706, 10930, 3328, 18, 24, 255, 23, 3200, 523, 938, 5308, 18511, 72, 255, 17006, 186, 355, 19, 25711, 264, 3832, 402, 938, 5308, 18511, 72, 255, 24118, 8844, 255, 3063, 11404, 2350, 255, 45, 16101, 706, 10930, 24, 3240, 19, 255, 45, 5334, 2020, 1019, 59, 623, 5914, 350, 1386, 3122, 1310, 798, 377, 1318, 15769, 67, 11477, 255, 23, 3200, 8973, 938, 5308, 18511, 72, 255, 17006, 186, 355, 20, 52, 263, 2339, 798, 24663, 264, 3832, 255, 24118, 8844, 255, 6949, 4947, 255, 9139, 51, 24, 7498, 26, 8219, 262, 255, 17378, 4941, 13862, 255, 17006, 186, 10399, 3324, 562, 414, 52, 2123, 87, 426, 5177, 412, 356, 21665, 13549, 8713, 4649, 680, 51, 2690, 4241, 329, 17021, 12138, 313, 277, 8307, 10959, 272, 253, 1539, 26410, 16634, 473, 8995, 5174, 9214, 289, 7206, 26895, 7616, 359, 253, 943, 272, 5788, 2104, 1305, 253, 64, 683, 380, 289, 64, 643, 380, 8801, 270, 6478, 800, 6333, 1208, 255, 344, 16634, 473, 8995, 543, 8046, 433, 277, 9675, 7206, 420, 5812, 1525, 2057, 696, 9030, 248, 991, 1115, 272, 12878, 2712, 253, 2105, 87, 430, 29648, 263, 270, 600, 10464, 14717, 8265, 1305, 253, 871, 2121, 8801, 270, 465, 64, 993, 19, 255, 66, 14832, 1754, 543, 14128, 285, 5472, 9087, 6040, 632, 15280, 430, 2862, 255, 1758, 5344, 2974, 4526, 255, 77, 7687, 6333, 7616, 255, 332, 2005, 1469, 4138, 22676, 1071, 24312, 270, 1173, 6615, 7206, 26895, 1222, 620, 838, 3298, 285, 253, 1666, 272, 542, 2690, 4241, 329, 17021, 12138, 285, 2230, 253, 4569, 272, 253, 14832, 5311, 2005, 289, 5658, 20932, 8771, 270, 600, 1222, 313, 29942, 1018, 4651, 19162, 91, 5538, 11237, 270, 3608, 3486, 3880, 272, 1071, 24312, 877, 253, 2005, 289, 5658, 20932, 591, 24840, 272, 253, 10959, 359, 13251, 2215, 253, 1030, 6090, 453, 7239, 14834, 356, 53, 5782, 406, 24055, 270, 340, 16000, 1528, 359, 1232, 785, 285, 1811, 1290, 253, 675, 7703, 272, 253, 31008, 1469, 979, 71, 3096, 1512, 12329, 806, 720, 289, 1932, 289, 285, 2762, 253, 2333, 6691, 272, 2005, 1469, 4138, 22676, 5725, 345, 253, 3772, 10967, 279, 2758, 272, 542, 2690, 4241, 329, 17021, 12138, 270, 340, 693, 272, 6615, 7206, 26895, 8320, 620, 8523, 285, 326, 277, 3892, 2023, 285, 2230, 253, 4569, 272, 14832, 4404, 5311, 2005, 289, 5658, 20932, 8771, 314, 6500, 2915, 877, 2005, 289, 5658, 20932, 1893, 2862, 359, 1774, 3351, 272, 253, 22725, 7206, 26895, 4240, 356, 31105, 2017, 382, 1353, 1605, 25, 649, 52, 2525, 431, 286, 555, 255, 971, 19, 823, 822, 476, 4707, 1829, 3482, 276, 253, 2121, 6586, 16553, 1262, 272, 556, 8899, 1869, 345, 253, 3635, 2669, 272, 7206, 6079, 279, 1716, 356, 13492, 9458, 2017, 382, 1353, 993, 21, 649, 35, 7535, 1517, 2017, 382, 1353, 993, 24, 255, 332, 21072, 13131, 795, 9330, 1996, 476, 5297, 15010, 253, 7206, 26895, 5725, 877, 2005, 289, 5658, 20932, 341, 476, 248, 2028, 1869, 345, 253, 9496, 367, 11156, 289, 11294, 5789, 272, 3772, 17995, 356, 70, 2263, 1353, 10556, 1527, 2017, 382, 1353, 993, 23, 255, 993, 25, 649, 37, 1963, 91, 553, 2017, 382, 1353, 993, 23, 649, 4501, 31483, 2017, 382, 1353, 993, 24, 795, 1294, 5725, 255, 822, 359, 16553, 9478, 433, 253, 2792, 13199, 1525, 2115, 289, 253, 6333, 7616, 356, 47, 353, 485, 2017, 382, 1353, 993, 22, 823, 23976, 562, 1893, 10067, 255, 3669, 12818, 255, 383, 1748, 720, 276, 253, 3225, 263, 249, 279, 7865, 2712, 4918, 67, 3249, 255, 332, 253, 3635, 11294, 9167, 356, 8269, 17107, 2017, 382, 1353, 993, 18, 795, 1245, 359, 2037, 335, 2032, 4170, 255, 1758, 356, 66, 406, 344, 15892, 390, 272, 253, 2862, 3437, 5591, 67, 406, 344, 2352, 22895, 272, 253, 7206, 26895, 1716, 255, 332, 356, 68, 406, 344, 10375, 272, 1324, 8332, 3041, 345, 1539, 8332, 2600, 356, 41, 6647, 2017, 382, 1353, 993, 24, 795, 3206, 755, 2005, 1469, 4138, 22676, 5725, 476, 838, 17323, 9609, 276, 253, 2121, 6586, 255, 14318, 2491, 12032, 285, 713, 1267, 248, 8432, 2204, 285, 2241, 8665, 4111, 2273, 366, 1071, 2260, 289, 1071, 2425, 2374, 356, 35, 7535, 1517, 2017, 382, 1353, 993, 24, 795, 9386, 755, 2491, 255, 30691, 289, 8320, 253, 3963, 272, 755, 5725, 806, 1932, 289, 720, 313, 5160, 356, 44, 325, 2120, 2017, 382, 1353, 993, 21, 823, 2470, 276, 253, 2808, 272, 8995, 14832, 314, 51, 1743, 14832, 620, 838, 3298, 8968, 285, 5116, 460, 253, 20202, 2226, 1980, 272, 30985, 4404, 345, 8995, 11616, 289, 6569, 2955, 356, 70, 2263, 1353, 56, 2690, 77, 2017, 382, 1353, 993, 22, 255, 332, 21072, 13131, 795, 3295, 248, 2147, 5342, 255, 344, 3940, 272, 14832, 4697, 313, 285, 5013, 253, 7206, 26895, 255, 29667, 367, 11156, 255, 332, 11294, 9167, 272, 1539, 14550, 289, 4918, 3772, 17995, 882, 253, 5472, 5006, 272, 5083, 2792, 22550, 255, 367, 11156, 255, 263, 5689, 2862, 270, 9381, 285, 556, 6911, 1447, 345, 9496, 367, 11156, 289, 11294, 23941, 276, 253, 705, 10428, 3225, 263, 249, 279, 7865, 356, 70, 2263, 1353, 49, 2144, 3302, 6083, 6687, 346, 2017, 382, 1353, 993, 25, 823, 344, 5725, 877, 2005, 289, 5658, 20932, 7206, 26895, 2862, 672, 1940, 248, 1939, 272, 14832, 4697, 356, 70, 2263, 1353, 35, 12226, 2125, 2017, 382, 1353, 993, 17, 649, 39, 816, 955, 2017, 382, 1353, 993, 24, 795, 1130, 3401, 255, 22676, 1469, 4138, 22676, 1071, 24312, 5096, 4524, 1469, 12160, 21001, 356, 70, 2263, 1353, 10556, 1527, 2017, 382, 1353, 993, 23, 649, 37, 1963, 91, 553, 2017, 382, 1353, 993, 23, 406, 332, 7239, 1091, 2046, 261, 335, 1967, 17841, 2065, 356, 70, 2263, 1353, 44, 1755, 315, 76, 2017, 382, 1353, 993, 22, 4650, 1449, 652, 3284, 389, 14065, 268, 289, 31645, 272, 1071, 276, 26068, 341, 1109, 6518, 2199, 285, 604, 5841, 2158, 9249, 16553, 565, 11531, 453, 4918, 1893, 270, 3278, 4697, 2415, 285, 2022, 253, 1071, 2260, 289, 3824, 11294, 2862, 272, 253, 3772, 8066, 882, 5788, 2104, 341, 2578, 3225, 263, 249, 279, 6322, 5013, 762, 270, 28577, 375, 5947, 4371, 755, 5725, 1109, 6808, 4931, 5311, 3037, 1440, 1980, 285, 12616, 17841, 2065, 270, 12342, 255, 264, 313, 1804, 1199, 2261, 285, 2230, 253, 4569, 272, 942, 14832, 4697, 363, 480, 3435, 248, 18228, 16457, 272, 253, 3865, 289, 13698, 272, 2005, 1469, 4138, 22676, 5725, 356, 70, 2263, 1353, 18620, 332, 74, 2017, 382, 1353, 993, 21, 1436, 9330, 11336, 276, 4963, 3164, 289, 8320, 4668, 2141, 1199, 13085, 285, 2022, 849, 1557, 2204, 289, 849, 23925, 7859, 5311, 2005, 1469, 4138, 22676, 5725, 356, 44, 325, 2120, 2017, 382, 1353, 993, 21, 649, 35, 7535, 1517, 2017, 382, 1353, 993, 24, 795, 3278, 6158, 16, 8659, 4697, 359, 2398, 285, 253, 693, 272, 2330, 363, 248, 773, 1100, 272, 7206, 26895, 15874, 289, 7103, 1224, 18887, 18102, 2705, 721, 2005, 1071, 5383, 356, 70, 2263, 1353, 49, 71, 4268, 2017, 382, 1353, 993, 17, 649, 29233, 307, 4296, 2017, 382, 1353, 993, 20, 795, 5397, 902, 7239, 3164, 1019, 71, 5970, 23082, 1176, 6716, 2330, 13058, 356, 19245, 5555, 5334, 406, 332, 7239, 14834, 356, 53, 5782, 406, 7617, 3382, 1019, 3980, 838, 785, 335, 556, 1773, 285, 4095, 345, 7545, 289, 11878, 3880, 272, 1071, 11332, 261, 276, 1539, 1964, 272, 253, 3225, 263, 249, 279, 7865, 882, 253, 11924, 272, 7239, 22876, 270, 19245, 5555, 5334, 2421, 650, 7946, 13400, 272, 755, 22876, 366, 248, 6071, 7545, 6242, 433, 847, 22727, 268, 6508, 23082, 1176, 18149, 2712, 248, 4918, 6118, 270, 53, 5782, 12218, 409, 326, 3760, 453, 1874, 289, 10849, 289, 4095, 84, 345, 2005, 2330, 366, 871, 7946, 3587, 272, 1967, 30755, 356, 70, 2263, 1353, 41, 505, 2017, 382, 1353, 993, 22, 1436, 974, 556, 657, 255, 30294, 7206, 6079, 279, 2837, 12068, 276, 253, 4674, 64, 1605, 17, 84, 255, 332, 640, 359, 1657, 7508, 363, 5339, 2957, 285, 7896, 4918, 5350, 5085, 2862, 448, 253, 8477, 377, 3754, 356, 70, 2263, 1353, 18857, 6262, 74, 289, 452, 323, 19072, 255, 993, 22, 649, 24058, 27586, 2017, 382, 1353, 993, 23, 795, 3206, 905, 6615, 2837, 8797, 345, 253, 2391, 285, 253, 64, 20, 5555, 23181, 1823, 3102, 285, 4539, 5658, 20932, 1893, 356, 70, 2263, 1353, 10424, 5884, 2017, 382, 1353, 993, 21, 823, 20468, 729, 1730, 7946, 4668, 341, 15187, 253, 5848, 272, 253, 5658, 20932, 22801, 356, 17093, 366, 783, 2333, 3368, 406, 3980, 5297, 9374, 356, 70, 2263, 1353, 41, 2130, 258, 7822, 2017, 382, 1353, 993, 22, 255, 993, 23, 649, 32166, 1297, 2017, 382, 1353, 993, 25, 795, 21292, 253, 64, 20, 5555, 23181, 1823, 3102, 366, 248, 1500, 12356, 85, 1208, 285, 7433, 253, 2037, 289, 1324, 8332, 6718, 272, 1893, 276, 253, 399, 370, 634, 7865, 806, 1539, 1964, 672, 1267, 8899, 11691, 2425, 270, 10591, 7946, 6615, 4668, 341, 359, 3892, 5311, 13743, 720, 1109, 652, 6808, 7209, 285, 17652, 5176, 1071, 2374, 2491, 270, 32137, 2837, 255, 354, 27409, 272, 556, 1115, 272, 7031, 255, 979, 11437, 315, 2110, 335, 253, 5327, 877, 2005, 289, 5658, 20932, 7206, 26895, 2862, 270, 3431, 255, 4983, 2769, 285, 3772, 17995, 14863, 391, 7352, 345, 253, 3963, 806, 720, 289, 1932, 272, 2005, 1469, 4138, 22676, 5725, 356, 70, 2263, 1353, 4501, 31483, 2017, 382, 1353, 993, 20, 649, 23971, 413, 316, 2017, 382, 1353, 993, 21, 1436, 8622, 69, 6079, 279, 8320, 620, 2865, 838, 785, 285, 2230, 253, 1773, 1980, 272, 14832, 2104, 345, 253, 7206, 6079, 279, 2669, 272, 248, 1687, 746, 270, 340, 1996, 3955, 276, 253, 8370, 4411, 359, 7095, 2792, 1506, 3724, 253, 937, 272, 14832, 345, 5658, 20932, 1071, 2891, 7616, 356, 70, 2263, 1353, 12422, 6687, 2017, 382, 1353, 993, 21, 823, 2923, 606, 4746, 5789, 356, 70, 2263, 1353, 28965, 473, 91, 6083, 455, 473, 91, 2017, 382, 1353, 993, 21, 649, 2655, 307, 346, 69, 2017, 382, 1353, 993, 23, 823, 332, 12381, 7616, 356, 70, 2263, 1353, 41, 2272, 391, 5622, 2017, 382, 1353, 993, 17, 795, 1283, 849, 2010, 255, 344, 10590, 366, 2837, 272, 3225, 263, 249, 279, 24312, 620, 461, 3960, 838, 2621, 270, 2828, 6615, 7206, 6079, 279, 1222, 620, 838, 3298, 285, 248, 21469, 2105, 87, 430, 3772, 8066, 1350, 1960, 253, 2769, 1109, 9059, 4399, 17618, 878, 276, 20901, 9122, 10889, 272, 14832, 4569, 270, 465, 2326, 255, 344, 5632, 693, 272, 7239, 1030, 366, 6615, 7206, 26895, 2837, 313, 461, 3960, 1354, 1350, 1960, 10747, 289, 14457, 1213, 4224, 5641, 906, 270, 1345, 66, 14, 32467, 2017, 382, 1683, 993, 22, 406, 3710, 7239, 6041, 289, 6615, 8320, 285, 1190, 253, 24312, 877, 18887, 289, 18549, 276, 10364, 2203, 270, 6798, 5697, 2017, 382, 1683, 993, 23, 406, 3710, 6615, 8320, 289, 566, 5782, 12218, 285, 2022, 253, 16670, 4535, 289, 7896, 253, 7616, 272, 253, 17192, 1666, 276, 248, 1324, 8477, 377, 276, 599, 8058, 11464, 485, 72, 270, 46, 445, 91, 2017, 382, 1683, 993, 24, 406, 21378, 7239, 4963, 2712, 253, 10950, 272, 248, 4918, 289, 6615, 8320, 448, 253, 4105, 3754, 285, 2022, 253, 11924, 272, 21916, 1915, 276, 253, 3225, 263, 249, 279, 7865, 314, 465, 480, 1854, 255, 344, 1730, 7946, 6615, 7206, 6079, 279, 1222, 21704, 41, 46, 356, 475, 27992, 753, 29582, 8773, 69, 6079, 279, 8231, 406, 262, 3298, 285, 253, 21469, 3772, 8066, 272, 542, 2690, 4241, 329, 17021, 12138, 255, 822, 313, 277, 8307, 10959, 5228, 64, 25, 7293, 8391, 272, 938, 5308, 18511, 72, 356, 28297, 16634, 473, 255, 17006, 649, 3032, 9586, 270, 18, 66, 795, 16552, 1996, 476, 2282, 341, 253, 7206, 26895, 255, 18826, 4086, 1525, 255, 332, 2792, 13199, 1525, 7616, 272, 253, 10959, 724, 1199, 3546, 2033, 285, 9675, 3225, 263, 249, 279, 24312, 289, 2005, 2862, 356, 38, 13696, 24595, 2017, 382, 1353, 993, 24, 255, 993, 25, 795 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16408, 1517, 24074, 3536, 1019, 20257, 14535, 8690, 186, 1639, 1028, 18512, 21623, 4769, 186, 17742, 8597, 272, 2521, 21812, 2010, 642, 917, 345, 253, 7533, 1175, 799, 396, 3218, 285, 21812, 335, 29713, 255, 66, 2814, 272, 396, 409, 326, 17282, 255, 738, 6036, 375, 1215, 11933, 4708, 1890, 959, 5378, 2371, 2307, 480, 6663, 1833, 2450, 272, 21812, 15122, 15810, 255, 19684, 289, 1030, 341, 558, 1418, 632, 2487, 1517, 2963, 26882, 285, 3224, 1636, 253, 15122, 289, 596, 4546, 2963, 26882, 285, 8559, 725, 345, 253, 1030, 640, 939, 812, 844, 253, 1329, 272, 556, 4465, 2276, 8494, 755, 3952, 4797, 558, 870, 8876, 12842, 276, 612, 1964, 363, 360, 3937, 285, 1636, 21812, 270, 340, 2151, 1030, 558, 1031, 253, 16468, 335, 486, 21812, 289, 29053, 360, 366, 253, 2010, 289, 2335, 360, 777, 285, 1700, 3722, 345, 453, 253, 1472, 19968, 3536, 335, 29713, 1306, 5087, 255, 864, 596, 4919, 2335, 314, 13600, 4722, 13579, 51, 3640, 41, 58, 538, 2639, 17677, 1019, 10669, 57, 13140, 2492, 36, 5577, 45, 2350, 186, 859, 360, 2539, 3986, 697, 24539, 285, 1636, 21812, 255, 1129, 2539, 2779, 285, 476, 285, 1636, 697, 1590, 270, 1283, 1039, 248, 4916, 360, 1267, 1590, 255, 1554, 1590, 672, 326, 2191, 356, 15199, 2541, 375, 8473, 2541, 406, 263, 8307, 356, 2541, 19237, 375, 11161, 795, 13403, 341, 849, 1395, 3938, 359, 6217, 285, 313, 1747, 6561, 1590, 1175, 612, 11362, 289, 2500, 359, 6217, 285, 1602, 14, 25697, 3080, 272, 1590, 942, 363, 22064, 1590, 255, 4954, 11154, 375, 1422, 9726, 270, 959, 409, 1197, 1200, 1288, 356, 3591, 3806, 554, 409, 406, 772, 536, 476, 1953, 2500, 375, 5406, 84, 341, 409, 2399, 1602, 14, 25697, 1590, 276, 253, 831, 272, 248, 11666, 314, 340, 5406, 313, 253, 1400, 341, 313, 785, 285, 2399, 253, 1590, 375, 2570, 270, 600, 313, 2340, 6058, 255, 66, 3518, 6224, 375, 2384, 10596, 1400, 270, 1294, 2500, 375, 5406, 84, 359, 1895, 276, 902, 23175, 9352, 696, 359, 3369, 1747, 22587, 356, 10295, 78, 2726, 1436, 9, 5793, 580, 34, 7558, 428, 10765, 7635, 340, 2091, 272, 253, 8128, 341, 253, 1590, 620, 285, 1769, 882, 285, 831, 277, 2570, 270, 1173, 1123, 916, 326, 248, 8818, 20014, 8129, 270, 340, 8128, 8197, 253, 11814, 272, 1590, 285, 831, 277, 2570, 345, 253, 5406, 270, 1452, 255, 864, 4881, 831, 248, 991, 2260, 2570, 536, 693, 14024, 285, 1939, 253, 1590, 270, 340, 24445, 276, 253, 8137, 6691, 811, 1331, 1590, 5152, 882, 289, 811, 1331, 272, 480, 1590, 558, 326, 6954, 345, 253, 5406, 314, 9, 25333, 956, 34, 7558, 428, 313, 5877, 285, 276, 5700, 1724, 363, 273, 3456, 4620, 255, 822, 360, 409, 1140, 642, 596, 697, 276, 253, 1998, 28683, 18472, 1634, 6030, 2151, 5518, 21, 406, 53, 27313, 2735, 14440, 5957, 9771, 10927, 38, 3248, 186, 26368, 87, 580, 8138, 10765, 7635, 340, 9727, 368, 2726, 11595, 253, 1844, 272, 720, 341, 1590, 313, 6954, 335, 270, 2148, 10218, 253, 9727, 368, 2726, 536, 476, 253, 2508, 285, 20833, 2913, 272, 3904, 4467, 5740, 1018, 248, 3904, 9727, 368, 2726, 375, 30528, 4664, 1018, 248, 3319, 9727, 368, 2726, 314, 1799, 6128, 6842, 285, 253, 2143, 356, 344, 2168, 406, 999, 486, 4916, 289, 253, 1119, 396, 313, 8925, 270, 1283, 28275, 248, 11385, 650, 939, 1999, 253, 1387, 956, 3307, 272, 1892, 255, 4002, 1566, 389, 255, 7710, 255, 2542, 2972, 289, 818, 3038, 341, 558, 3782, 253, 12864, 272, 486, 4916, 270, 3720, 1953, 3863, 272, 5924, 3369, 943, 276, 253, 905, 6674, 2015, 3587, 956, 1129, 409, 1179, 596, 697, 755, 2151, 314, 45, 5822, 1585, 253, 2202, 272, 11004, 253, 1590, 285, 248, 1687, 1120, 345, 253, 5406, 270, 10152, 14024, 6580, 902, 1528, 6921, 345, 253, 17125, 1363, 253, 8137, 26732, 270, 600, 558, 2762, 861, 253, 2570, 313, 596, 2794, 1451, 375, 558, 2286, 248, 10366, 1892, 730, 486, 3571, 314, 9, 25333, 956, 673, 313, 1575, 285, 2399, 277, 2570, 1655, 25356, 433, 1018, 248, 1324, 24445, 2062, 3031, 270, 247, 253, 831, 272, 248, 8818, 20014, 8129, 270, 1452, 255, 1662, 916, 461, 326, 5176, 276, 905, 9842, 5518, 2927, 554, 1409, 248, 1900, 448, 783, 1774, 21812, 15122, 1224, 755, 3952, 4797, 2404, 276, 285, 1585, 578, 28683, 313, 253, 20075, 1115, 272, 253, 6954, 2570, 289, 313, 5739, 433, 253, 24445, 289, 9727, 368, 2726, 363, 10629, 2151, 314, 39, 18, 313, 253, 13278, 408, 24445, 356, 7486, 253, 905, 1590, 882, 795, 3500, 9532, 2282, 345, 253, 10199, 1861, 2518, 6396, 815, 375, 11151, 1416, 253, 1844, 272, 1590, 255, 1662, 1440, 276, 1590, 313, 1724, 363, 248, 650, 3214, 1440, 270, 3258, 3159, 16216, 476, 253, 2508, 285, 7350, 253, 3214, 1684, 276, 4059, 1010, 762, 345, 2518, 253, 9727, 368, 12497, 375, 253, 24445, 4712, 314, 340, 273, 3456, 392, 9799, 335, 253, 8137, 16415, 2561, 5696, 433, 253, 4092, 6781, 272, 253, 8137, 7993, 356, 20014, 16, 1553, 85, 428, 795, 70, 2263, 270, 23134, 253, 8128, 255, 27231, 253, 16415, 2561, 272, 253, 8137, 433, 253, 7934, 272, 253, 8128, 289, 1232, 360, 476, 253, 273, 3456, 392, 1461, 314, 7685, 253, 273, 3456, 392, 1461, 345, 650, 8137, 356, 70, 2263, 270, 71, 22, 15, 23, 406, 8132, 1985, 882, 253, 1112, 1844, 272, 1590, 345, 248, 902, 8137, 652, 1031, 285, 273, 22, 15, 23, 314, 9, 4727, 2591, 340, 10366, 253, 24445, 1019, 344, 1319, 5667, 272, 2035, 1019, 3032, 2151, 5518, 2860, 11985, 2726, 6691, 253, 1844, 272, 720, 341, 536, 409, 7433, 1590, 335, 255, 6985, 471, 285, 20833, 375, 30528, 4664, 335, 6996, 937, 314, 3258, 3159, 525, 10791, 51, 16216, 1418, 360, 285, 3997, 253, 9727, 368, 2726, 5684, 730, 64, 1504, 17, 380, 272, 248, 1508, 289, 652, 1031, 19659, 363, 1114, 363, 64, 1428, 6215, 276, 8540, 4951, 270, 34, 5684, 9727, 368, 2726, 558, 20833, 3904, 4467, 3359, 942, 363, 7320, 10047, 1894, 248, 3319, 9727, 368, 2726, 558, 7433, 4664, 30528, 270, 2148, 1018, 3164, 942, 363, 4119, 741, 253, 8129, 448, 248, 3319, 9727, 368, 2726, 360, 409, 1879, 253, 937, 272, 248, 26934, 4713, 255, 292, 2282, 276, 253, 2570, 2151, 314, 37, 11781, 272, 2035, 313, 253, 1684, 272, 10220, 1074, 2518, 2097, 272, 253, 1939, 1120, 270, 673, 313, 1156, 285, 5029, 253, 1387, 578, 37, 11781, 272, 2035, 313, 6033, 908, 356, 1526, 10220, 2518, 2097, 272, 253, 1939, 1120, 406, 247, 253, 1387, 7230, 578, 355, 1316, 360, 476, 248, 1539, 24445, 186, 355, 1316, 360, 359, 5923, 1199, 2718, 186, 355, 1316, 360, 359, 1018, 8357, 653, 9080, 14024, 356, 2750, 1323, 3254, 2794, 1451, 14024, 680, 37, 11781, 272, 2035, 313, 2898, 356, 2750, 10220, 2518, 2097, 272, 253, 1939, 1120, 406, 247, 253, 1387, 7230, 578, 355, 1316, 360, 476, 248, 1324, 24445, 375, 248, 4059, 4446, 8129, 186, 355, 1316, 360, 359, 11004, 2501, 2634, 186, 355, 1316, 360, 359, 1018, 248, 2692, 4276, 8137, 186, 1132, 359, 248, 966, 272, 2189, 341, 409, 2762, 253, 2260, 272, 14024, 270, 1294, 359, 363, 4639, 578, 355, 6341, 4092, 1590, 16223, 2508, 356, 71, 3456, 392, 966, 3241, 345, 253, 8137, 299, 2263, 270, 18, 27, 19, 15, 25, 680, 355, 6341, 28468, 1323, 356, 1432, 10220, 409, 396, 1039, 253, 4916, 680, 355, 340, 6395, 396, 409, 1939, 356, 8030, 272, 253, 5095, 680, 355, 340, 4604, 396, 30034, 356, 8030, 272, 253, 5095, 680, 355, 340, 1697, 272, 1400, 253, 8137, 313, 1509, 453, 186, 45, 611, 1323, 313, 3919, 433, 248, 966, 1747, 800, 16415, 2561, 356, 15017, 345, 253, 8137, 795, 2318, 16415, 2561, 313, 4507, 433, 253, 3264, 453, 253, 9996, 272, 253, 2343, 22182, 8137, 356, 263, 253, 9527, 1120, 406, 864, 253, 16415, 1120, 270, 3651, 905, 2963, 4773, 14024, 359, 1509, 453, 248, 3057, 272, 22182, 375, 10114, 1153, 14024, 289, 3965, 476, 277, 4182, 5915, 1120, 396, 313, 253, 3264, 453, 341, 1120, 285, 253, 1939, 6175, 341, 313, 800, 16415, 2561, 314, 1283, 2798, 12842, 363, 360, 1636, 21812, 255, 1129, 777, 285, 2128, 272, 14024, 276, 2377, 272, 2794, 6003, 289, 4276, 272, 1892, 1019, 4789, 8137, 15064, 939, 3338, 360, 800, 4276, 272, 1892, 335, 253, 4446, 360, 359, 1018, 356, 1554, 313, 253, 1030, 341, 558, 326, 3059, 285, 360, 1436, 59, 7182, 599, 5822, 2735, 17449, 579, 4426, 26496, 186, 45, 5822, 409, 2904, 721, 871, 6617, 255, 91, 7182, 14024, 375, 5352, 16415, 2561, 356, 4629, 5877, 285, 363, 6081, 375, 2496, 406, 77, 5822, 270, 5410, 476, 3185, 289, 29882, 363, 7001, 2151, 314, 17449, 16415, 14024, 409, 2340, 8279, 596, 1590, 363, 640, 359, 1895, 366, 3428, 21417, 862, 270, 1452, 2033, 285, 253, 1330, 2911, 454, 276, 24498, 2508, 640, 582, 2868, 360, 285, 1700, 345, 486, 4020, 285, 1140, 253, 1763, 5924, 270, 600, 409, 476, 800, 3185, 433, 2576, 360, 1319, 32726, 366, 486, 21812, 1175, 1633, 360, 672, 1267, 596, 14024, 285, 3745, 248, 10366, 1684, 272, 16415, 12554, 314, 59, 7182, 14024, 3703, 596, 2571, 17658, 363, 640, 3745, 248, 1684, 272, 16415, 12554, 270, 600, 409, 326, 15789, 1960, 363, 396, 1633, 640, 476, 596, 5095, 289, 4467, 3351, 255, 822, 409, 943, 276, 596, 5788, 1619, 270, 340, 21760, 1039, 725, 272, 755, 14024, 2340, 1633, 2031, 7937, 335, 14024, 366, 1539, 21417, 862, 314, 600, 2570, 3022, 366, 248, 4346, 3571, 8137, 2838, 396, 23739, 248, 64, 5920, 3913, 1892, 314, 13403, 409, 2404, 453, 248, 3251, 272, 3178, 1175, 396, 652, 3218, 276, 1021, 3080, 341, 1836, 253, 1119, 248, 4916, 6028, 1019, 3470, 3080, 409, 326, 3173, 363, 578, 18, 406, 16941, 12304, 186, 19, 406, 25582, 12304, 186, 20, 406, 5678, 4419, 12304, 186, 21, 406, 27502, 271, 12304, 186, 31841, 272, 19133, 12304, 186, 13403, 341, 3218, 453, 248, 2300, 696, 620, 277, 7022, 1324, 2005, 1666, 314, 70, 2263, 270, 10527, 10807, 255, 2923, 1717, 255, 67, 505, 1590, 19237, 375, 6767, 1590, 186, 18403, 2437, 272, 2205, 1590, 359, 363, 4639, 578, 355, 5956, 3539, 2972, 186, 355, 16941, 10220, 1145, 3132, 4588, 24304, 186, 355, 19522, 427, 642, 13030, 186, 355, 20811, 315, 11761, 13095, 186, 355, 34, 5127, 15046, 286, 289, 10220, 1074, 356, 8280, 285, 991, 4604, 680, 31841, 272, 8882, 830, 12304, 186, 13403, 341, 3218, 453, 248, 2300, 366, 277, 7022, 1539, 2005, 1666, 276, 5601, 285, 253, 2168, 360, 359, 3353, 248, 4916, 272, 314, 70, 2263, 270, 13403, 882, 12903, 345, 277, 806, 5027, 1600, 255, 66, 3004, 5778, 366, 1857, 1105, 11256, 375, 248, 1539, 2355, 3761, 314, 18403, 2437, 272, 2355, 1590, 359, 363, 4639, 578, 355, 10591, 4604, 186, 355, 15343, 2355, 24304, 375, 929, 24304, 186, 355, 7107, 461, 9059, 13095, 1020, 186, 355, 859, 785, 26359, 409, 1900, 1199, 6864, 289, 25202, 356, 8280, 285, 1730, 4604, 680, 9, 1132, 359, 652, 1021, 1943, 272, 1590, 22792, 289, 10045, 276, 877, 755, 871, 26869, 680, 2467, 360, 409, 1200, 253, 8521, 2732, 877, 2355, 1590, 356, 2709, 406, 332, 2205, 1590, 356, 1801, 1436, 2776, 253, 1590, 341, 313, 6561, 276, 486, 2570, 799, 360, 409, 1200, 800, 2300, 942, 363, 253, 3377, 4712, 276, 253, 8596, 375, 248, 6561, 26941, 27317, 751, 486, 2168, 314, 1579, 23282, 341, 1019, 2541, 341, 313, 10509, 1042, 277, 1444, 942, 363, 1590, 10509, 1042, 253, 4828, 375, 248, 3406, 3658, 270, 3258, 272, 253, 1590, 1591, 471, 313, 276, 1057, 10509, 1590, 314, 340, 26620, 610, 485, 578, 10591, 10807, 276, 253, 4674, 375, 2240, 2954, 272, 253, 1600, 313, 1412, 253, 905, 3786, 720, 285, 11666, 270, 600, 313, 1262, 578, 355, 673, 620, 2336, 4604, 730, 2205, 1590, 186, 355, 673, 620, 2898, 24472, 285, 253, 2743, 5875, 606, 186, 355, 673, 1804, 620, 277, 3147, 272, 15046, 286, 1262, 396, 313, 6226, 453, 248, 1324, 1590, 2300, 1175, 253, 4173, 14537, 453, 253, 27848, 5820, 6666, 248, 705, 967, 4169, 186, 355, 1065, 409, 1412, 1540, 253, 1590, 2300, 276, 253, 4916, 2712, 366, 486, 2168, 186, 355, 1065, 409, 1412, 1012, 596, 9858, 1042, 6737, 942, 363, 1071, 375, 5095, 186, 355, 23295, 12295, 2168 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23357, 253, 7267, 265, 1323, 272, 64, 21, 15152, 1716, 276, 650, 1372, 29514, 2818, 578, 16155, 32578, 12817, 25621, 26134, 276, 11706, 26561, 335, 277, 12258, 17591, 1705, 289, 6098, 811, 285, 2002, 8521, 289, 18675, 2283, 276, 486, 1372, 2276, 600, 64, 24, 8580, 4500, 4195, 483, 613, 16526, 452, 821, 602, 254, 15596, 1880, 13255, 2845, 3593, 5923, 2799, 5045, 285, 17591, 276, 578, 355, 16193, 599, 4166, 2070, 21289, 186, 355, 8138, 14776, 14344, 7649, 186, 355, 47, 16526, 5016, 2337, 186, 14794, 709, 8523, 2799, 3602, 359, 2511, 285, 2286, 360, 248, 3593, 15813, 255, 11531, 255, 332, 29183, 2002, 314, 600, 1372, 29514, 2818, 313, 3593, 5923, 289, 2657, 1938, 690, 2166, 285, 486, 2129, 255, 388, 7887, 268, 360, 366, 253, 18029, 1716, 289, 2425, 360, 777, 285, 1039, 7258, 2283, 276, 632, 1964, 272, 486, 1372, 289, 7716, 314, 859, 360, 2539, 3851, 335, 8523, 1716, 335, 4383, 289, 5563, 268, 13340, 1232, 480, 1372, 29514, 1705, 543, 1509, 335, 23958, 2276, 355, 6739, 253, 16468, 272, 15790, 599, 4166, 2070, 21289, 1790, 1529, 285, 2487, 186, 355, 23357, 811, 285, 2595, 253, 16984, 276, 486, 1372, 341, 359, 10145, 360, 453, 11889, 486, 4382, 186, 355, 11754, 253, 6793, 341, 6002, 15314, 14849, 90, 3191, 730, 2605, 13553, 314, 355, 13538, 4742, 811, 285, 5419, 667, 486, 2699, 272, 2095, 1333, 350, 3051, 289, 7344, 186, 355, 16098, 289, 6514, 253, 6169, 877, 486, 6793, 255, 17339, 789, 289, 4404, 186, 355, 23357, 3164, 289, 3671, 285, 852, 486, 6727, 5042, 289, 10593, 186, 355, 11754, 253, 3164, 341, 1418, 360, 285, 1636, 255, 7416, 7921, 255, 8112, 255, 332, 1334, 363, 277, 1430, 186, 355, 6739, 253, 8195, 5683, 3671, 289, 19451, 785, 433, 253, 905, 4635, 2721, 2283, 32528, 186, 2793, 332, 536, 2539, 1215, 3964, 4671, 2276, 3258, 945, 891, 476, 277, 1679, 276, 20103, 15790, 599, 4166, 2070, 21289, 15596, 1880, 13255, 359, 13515, 14938, 285, 1636, 289, 693, 613, 16526, 3164, 289, 4292, 705, 341, 640, 409, 1200, 12866, 9768, 276, 556, 1372, 289, 7716, 705, 640, 409, 1409, 2018, 285, 253, 2381, 1115, 314, 1294, 3164, 558, 870, 360, 1879, 248, 3986, 1869, 345, 253, 4143, 272, 2165, 705, 341, 1288, 2786, 409, 652, 3235, 556, 5481, 4382, 289, 29504, 314, 17405, 2371, 414, 340, 945, 891, 9260, 755, 6233, 789, 359, 14938, 285, 870, 1288, 891, 1599, 285, 4845, 1861, 928, 2401, 363, 640, 1822, 1485, 640, 5023, 1524, 613, 16526, 270, 1696, 905, 272, 632, 640, 359, 3851, 335, 18675, 1528, 2276, 2318, 554, 253, 2338, 2096, 12817, 25621, 26134, 709, 4500, 4195, 483, 613, 16526, 452, 821, 602, 254, 15596, 1880, 13255, 543, 2966, 335, 360, 2276, 1065, 1560, 326, 19100, 2859, 3429, 532, 2901, 1636, 613, 16526, 289, 852, 1249, 2335, 882, 480, 1705, 276, 1215, 650, 3425, 15209, 2148, 3353, 657, 276, 480, 4500, 4195, 483, 613, 16526, 452, 821, 602, 254, 15596, 1880, 13255, 255, 1129, 3738, 326, 7923, 64, 21, 902, 6856, 6003, 276, 1215, 650, 2136, 3425, 649, 16193, 599, 4166, 2070, 21289, 255, 8138, 14776, 14344, 7649, 255, 18724, 79, 2385, 255, 332, 15790, 599, 4166, 2070, 21289, 5016, 2337, 314, 600, 1633, 861, 360, 8291, 1599, 285, 14397, 4121, 255, 17539, 486, 2095, 14, 15296, 255, 332, 5563, 253, 3121, 289, 4236, 341, 360, 23271, 255, 1660, 480, 313, 253, 1705, 335, 360, 270, 1696, 861, 360, 8291, 1599, 285, 1636, 811, 285, 1879, 289, 2002, 253, 13340, 341, 360, 23271, 289, 870, 2165, 2002, 253, 1112, 255, 1660, 849, 1705, 543, 2966, 335, 23958, 2276, 14794, 25621, 26134, 289, 613, 16526, 15596, 1880, 13255, 186, 16155, 12817, 25621, 26134, 289, 2002, 253, 1372, 29514, 1980, 272, 480, 613, 16526, 255, 8138, 14776, 14344, 7649, 255, 47, 16526, 5016, 2337, 289, 21054, 79, 2385, 452, 821, 602, 254, 15596, 1880, 13255, 1705, 335, 4121, 270, 10861, 1074, 253, 3164, 272, 15790, 599, 4166, 2070, 21289, 356, 47, 16526, 823, 8138, 14776, 14344, 7649, 255, 332, 21054, 79, 2385, 289, 360, 409, 2774, 486, 17591, 276, 632, 272, 755, 4675, 1716, 255, 7442, 366, 613, 16526, 5016, 2337, 255, 484, 276, 1215, 64, 24, 2449, 314, 600, 3425, 1114, 17591, 901, 2845, 448, 3805, 521, 22531, 289, 277, 8516, 1705, 360, 409, 1190, 453, 253, 5803, 272, 486, 1395, 2137, 1485, 360, 9685, 471, 1305, 253, 3270, 1705, 9273, 314, 1283, 1140, 642, 596, 255, 16871, 5473, 253, 6543, 2151, 375, 1927, 651, 15617, 285, 1636, 596, 697, 480, 16120, 2799, 1705, 314, 8167, 1547, 613, 16526, 452, 821, 602, 254, 13255, 9813, 8607, 5746, 186, 340, 16120, 15790, 599, 4166, 2070, 21289, 15596, 1880, 1705, 6428, 360, 1042, 5346, 366, 621, 28579, 90, 8516, 2799, 2500, 270, 1065, 3738, 1423, 1042, 7755, 453, 253, 5803, 272, 486, 1395, 2137, 289, 1232, 9685, 471, 448, 253, 6233, 789, 341, 3683, 486, 8185, 289, 2103, 486, 1190, 289, 17591, 901, 270, 1132, 558, 326, 10750, 272, 4612, 1305, 253, 1705, 285, 3084, 882, 2721, 16984, 363, 360, 1636, 289, 852, 486, 2335, 314, 1132, 359, 2593, 2799, 9273, 18418, 480, 935, 1694, 6212, 476, 248, 1900, 448, 253, 14914, 1861, 285, 2762, 799, 253, 2381, 15790, 599, 4166, 2070, 21289, 15596, 1880, 2818, 558, 1409, 1741, 276, 11706, 26561, 314, 5691, 4195, 483, 613, 16526, 452, 821, 602, 254, 15596, 1880, 10115, 21446, 186, 355, 15326, 13255, 31488, 602, 4578, 24091, 17629, 21, 13, 20, 3790, 186, 355, 12638, 1192, 6799, 617, 11482, 17956, 11952, 19947, 17629, 20, 13, 20, 3790, 186, 355, 16705, 377, 27169, 6568, 18809, 315, 29141, 186, 355, 26641, 12685, 691, 84, 5620, 4439, 29141, 186, 355, 3403, 2799, 15639, 652, 2845, 277, 64, 1212, 7215, 485, 15790, 599, 4166, 2070, 21289, 31699, 5746, 356, 2750, 730, 1069, 25, 3790, 10765, 680, 1283, 19314, 486, 1741, 360, 914, 777, 285, 1039, 248, 1069, 24, 3790, 16524, 314, 4861, 1927, 276, 2605, 341, 917, 359, 248, 3562, 966, 272, 22519, 1895, 276, 253, 15790, 599, 4166, 2070, 21289, 13255, 9273, 289, 640, 409, 8590, 642, 3904, 270, 1065, 939, 6915, 486, 6767, 3722, 1262, 861, 360, 1746, 1197, 255, 1129, 672, 4468, 486, 4830, 285, 9260, 253, 2799, 314, 1294, 22519, 8590, 642, 3904, 2793, 549, 2980, 21816, 1657, 433, 13919, 253, 6543, 2151, 314, 340, 613, 16526, 452, 821, 602, 254, 289, 5016, 2337, 15596, 1880, 578, 16193, 7227, 4166, 2070, 21289, 356, 47, 16526, 406, 262, 253, 905, 2379, 255, 5183, 26683, 746, 272, 8316, 255, 8589, 255, 332, 16180, 1447, 272, 486, 2605, 255, 23825, 3880, 255, 388, 18393, 289, 4404, 314, 1065, 558, 1636, 811, 285, 4079, 755, 3164, 366, 4121, 289, 366, 2165, 314, 1316, 360, 8702, 276, 849, 579, 292, 11247, 76, 16048, 28177, 1880, 5746, 360, 558, 6098, 578, 355, 16193, 599, 4166, 2070, 21289, 578, 340, 538, 10335, 272, 613, 16526, 186, 340, 25466, 3303, 289, 8837, 697, 1224, 536, 2487, 314, 340, 18854, 6793, 289, 12236, 341, 14397, 285, 1409, 1447, 272, 253, 15314, 14849, 90, 13827, 289, 12417, 253, 7483, 1222, 341, 620, 5580, 360, 1329, 270, 1065, 558, 1636, 285, 1140, 289, 693, 253, 1967, 31957, 268, 1716, 341, 2804, 486, 7477, 289, 4404, 356, 388, 18393, 289, 7189, 795, 47, 16526, 313, 253, 14823, 289, 905, 4675, 1222, 335, 2576, 1889, 255, 8589, 255, 7416, 32386, 255, 18890, 268, 255, 332, 16174, 363, 248, 1217, 314, 340, 64, 728, 23155, 4198, 5914, 6360, 5251, 29912, 4698, 26107, 186, 355, 23357, 811, 285, 3235, 632, 253, 4382, 360, 1879, 335, 486, 2095, 186, 355, 6739, 811, 285, 2595, 253, 1774, 3641, 877, 253, 4382, 360, 476, 12994, 289, 253, 4382, 360, 12146, 1197, 186, 355, 6739, 811, 285, 1012, 6151, 15130, 414, 344, 3074, 2084, 285, 2781, 285, 1039, 486, 4382, 1940, 11844, 2132, 186, 18966, 542, 1532, 441, 414, 23357, 1369, 1670, 12862, 4198, 400, 6160, 1048, 8483, 17619, 2573, 289, 32404, 15668, 186, 355, 2698, 25767, 12101, 721, 248, 2699, 272, 4605, 366, 253, 945, 360, 7183, 366, 186, 355, 9058, 486, 2204, 272, 253, 9141, 13250, 276, 1352, 27888, 186, 355, 6739, 811, 285, 11421, 1967, 1352, 7426, 289, 1833, 862, 341, 19888, 1879, 2451, 356, 8443, 18838, 406, 11627, 515, 366, 253, 945, 1591, 360, 186, 355, 23357, 253, 22697, 285, 1018, 17191, 24225, 285, 1879, 8396, 883, 403, 441, 276, 1217, 289, 806, 253, 6229, 186, 355, 6739, 8523, 2142, 285, 1879, 7785, 2451, 6860, 799, 360, 7183, 366, 2165, 186, 6739, 1547, 17174, 5399, 21191, 900, 7898, 186, 23122, 1879, 2076, 900, 1716, 341, 901, 253, 1030, 536, 4475, 453, 849, 1632, 314, 1065, 558, 6098, 578, 355, 919, 973, 272, 253, 64, 22, 14185, 1222, 3068, 22696, 3442, 486, 1352, 186, 355, 6739, 811, 257, 3306, 255, 84, 2601, 255, 85, 278, 3277, 255, 4957, 6971, 289, 29152, 1836, 849, 2333, 1716, 356, 2470, 345, 277, 18838, 1115, 680, 10152, 2786, 476, 902, 14301, 5457, 2562, 253, 1119, 640, 11421, 253, 64, 22, 14185, 285, 4182, 986, 253, 1280, 1591, 713, 270, 23357, 811, 360, 409, 693, 480, 1030, 285, 5419, 667, 2451, 3263, 366, 6393, 186, 355, 23357, 253, 22697, 285, 3571, 6476, 289, 904, 973, 650, 8868, 360, 697, 248, 1217, 554, 6793, 186, 355, 6739, 811, 285, 5947, 1259, 486, 6996, 2605, 289, 18675, 1524, 2862, 433, 1018, 2343, 3571, 3390, 1716, 186, 23357, 6942, 3448, 8682, 414, 340, 797, 41, 6556, 802, 15632, 3189, 11064, 8975, 1048, 2577, 5251, 15314, 186, 355, 23357, 253, 797, 73, 6556, 802, 14257, 3189, 746, 341, 15447, 486, 2605, 289, 18184, 396, 285, 486, 1395, 4470, 186, 355, 28706, 3414, 15789, 7189, 356, 1901, 256, 301, 6160, 375, 9908, 406, 3049, 253, 1323, 272, 6942, 3448, 8682, 186, 355, 3797, 642, 811, 285, 2584, 248, 746, 272, 797, 1184, 13108, 802, 864, 1440, 253, 8837, 341, 476, 838, 10065, 360, 1329, 186, 355, 4854, 360, 2507, 9820, 3353, 1447, 272, 486, 7706, 911, 6739, 253, 905, 2379, 1119, 285, 4193, 713, 12024, 6739, 1547, 7296, 30280, 5399, 797, 52, 19539, 4500, 13351, 802, 332, 8200, 5399, 9372, 1547, 78, 5399, 5251, 3044, 2812, 487, 186, 17439, 359, 4675, 2018, 1694, 1449, 8408, 1774, 1030, 285, 2165, 697, 486, 10442, 289, 6973, 314, 355, 919, 253, 13063, 1909, 360, 693, 359, 4434, 882, 18838, 1633, 3960, 640, 2195, 476, 1199, 1156, 7277, 285, 253, 1217, 7570, 713, 186, 355, 23357, 811, 285, 2595, 253, 10442, 1697, 341, 672, 326, 15785, 4494, 13093, 1967, 1909, 289, 12391, 186, 355, 6739, 248, 8523, 746, 335, 24315, 486, 8094, 3880, 335, 973, 1217, 285, 2774, 7785, 15130, 255, 7838, 1681, 255, 332, 2031, 1943, 272, 3263, 186, 355, 3797, 642, 253, 6529, 285, 13345, 6896, 1952, 276, 1460, 285, 1879, 8396, 13900, 289, 1350, 1879, 248, 689, 559, 5544, 1402, 186, 355, 6739, 811, 248, 3057, 272, 64, 20, 2343, 2084, 409, 2286, 360, 1156, 12680, 5311, 818, 9141, 2168, 375, 1619, 186, 355, 23357, 253, 17518, 1119, 285, 2595, 289, 8876, 1444, 454, 186, 355, 919, 285, 870, 6393, 4193, 556, 6793, 289, 1402, 272, 2605, 186, 1173, 329, 3174, 1019, 6739, 8200, 5399, 26195, 7168, 272, 5251, 4308, 18393, 289, 20998, 4344, 186, 355, 12085, 2858, 285, 1409, 1447, 272, 486, 5903, 3119, 186, 355, 23357, 277, 3077, 1119, 285, 1879, 248, 3145, 797, 27527, 1498, 802, 1554, 409, 32289, 5619, 6793, 289, 7189, 186, 355, 3797, 642, 811, 360, 409, 9302, 20202, 2226, 7706, 289, 4182, 1076, 7477, 285, 277, 4759, 15175, 1694, 1901, 248, 3458, 375, 17191, 10978, 356, 1662, 2104, 345, 2560, 289, 1309, 14392, 680, 355, 6739, 811, 360, 409, 3622, 366, 486, 905, 4675, 6727, 2425, 289, 1636, 811, 285, 12101, 721, 713, 799, 640, 359, 2635, 186, 355, 5426, 8876, 30412, 2972, 1405, 453, 486, 1372, 335, 1415, 186, 16193, 599, 4166, 2070, 21289, 7898, 578, 340, 17174, 5399, 12690, 5251, 20998, 21289, 5399, 7747, 880, 9483, 2226, 19025, 186, 355, 6739, 253, 746, 272, 4383, 902, 6727, 1716, 285, 2774, 248, 5619, 943, 289, 1140, 642, 811, 285, 4105, 248, 4635, 6296, 1255, 720, 186, 355, 6506, 880, 1618, 289, 1114, 3378, 1889, 276, 486, 1372, 1018, 8523, 19451, 289, 3671, 186, 355, 3797, 642, 2096, 945, 8153, 2018, 289, 253, 6529, 285, 849, 6727, 3767, 2576, 5357, 1694 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 24042, 272, 253, 29287, 276, 253, 25118, 434, 6643, 276, 253, 2543, 289, 253, 328, 1473, 84, 9818, 271, 335, 22544, 31582, 289, 253, 3458, 272, 28089, 17370, 84, 11870, 882, 253, 4661, 272, 253, 9366, 8570, 4493, 289, 1392, 253, 259, 868, 21625, 19320, 255, 332, 255, 251, 4025, 5860, 907, 13470, 255, 251, 253, 14323, 329, 272, 1408, 6328, 2137, 255, 32023, 270, 10861, 23246, 14948, 916, 1412, 326, 7928, 285, 2222, 2859, 42, 916, 476, 257, 920, 713, 844, 8404, 8366, 2106, 475, 1654, 1168, 7650, 1021, 1404, 270, 673, 543, 248, 26611, 8437, 255, 7873, 289, 21777, 90, 255, 332, 253, 14948, 3569, 1168, 253, 24208, 272, 2163, 289, 24709, 5170, 1075, 270, 673, 543, 248, 21469, 3366, 17281, 366, 1762, 677, 289, 13278, 324, 554, 21506, 255, 66, 8609, 4502, 16655, 275, 687, 1644, 248, 23296, 2097, 21550, 289, 12814, 272, 743, 4055, 276, 253, 17842, 270, 1132, 543, 248, 31557, 272, 24959, 7593, 276, 253, 4185, 289, 253, 14970, 724, 9425, 271, 366, 1782, 2858, 289, 1114, 22934, 11900, 271, 433, 299, 489, 815, 270, 19181, 262, 438, 3357, 632, 1600, 1114, 270, 340, 5042, 1690, 5580, 248, 16261, 819, 261, 255, 332, 255, 2446, 253, 16769, 7036, 301, 1392, 453, 253, 4744, 335, 253, 26507, 255, 66, 892, 452, 626, 3202, 270, 34, 31018, 272, 1628, 263, 607, 17834, 1734, 7857, 311, 319, 1144, 345, 253, 7514, 270, 340, 14948, 554, 1168, 17719, 3068, 366, 9009, 289, 1967, 3080, 272, 10958, 255, 344, 905, 19493, 1285, 556, 914, 933, 255, 4983, 8645, 255, 23563, 5607, 314, 1682, 543, 248, 8404, 933, 270, 2056, 615, 446, 68, 544, 636, 3580, 270, 53, 3570, 271, 1572, 428, 315, 721, 436, 2938, 260, 255, 623, 1689, 3274, 10057, 9014, 6394, 537, 268, 253, 30866, 272, 1408, 5095, 255, 32023, 270, 14485, 916, 4036, 363, 1331, 276, 20721, 363, 276, 257, 8045, 255, 475, 1408, 2167, 5679, 543, 356, 484, 253, 18935, 12530, 406, 27037, 270, 340, 612, 7675, 15657, 1167, 1144, 1404, 366, 1689, 317, 5383, 289, 22461, 4866, 255, 1229, 3406, 1175, 1689, 27267, 3581, 255, 4760, 1354, 363, 26509, 375, 6883, 1874, 29410, 26709, 891, 255, 247, 22899, 3406, 2136, 84, 289, 1324, 3406, 30636, 678, 254, 12943, 255, 6409, 271, 253, 12374, 391, 289, 1509, 1205, 667, 289, 19493, 8565, 314, 6544, 303, 6483, 276, 253, 22096, 272, 1055, 7941, 554, 3569, 255, 251, 253, 8347, 272, 1055, 20384, 299, 301, 255, 251, 253, 2121, 1600, 341, 423, 916, 326, 3169, 255, 23563, 5607, 255, 1808, 26519, 9422, 13980, 933, 255, 27632, 833, 710, 285, 253, 2743, 272, 24768, 810, 255, 31893, 1539, 289, 18513, 255, 10104, 10445, 689, 19279, 275, 445, 3650, 5801, 1055, 22226, 255, 81, 1523, 721, 248, 25915, 22370, 314, 1682, 16903, 1055, 689, 19279, 632, 253, 1119, 285, 1055, 17099, 815, 289, 3497, 5941, 453, 713, 7378, 270, 1245, 2119, 917, 255, 6482, 5280, 3938, 255, 344, 3907, 22380, 272, 253, 7199, 556, 11379, 270, 1682, 1031, 253, 22370, 345, 253, 16135, 289, 584, 4032, 1087, 5813, 248, 15069, 1224, 423, 12466, 2226, 7241, 276, 253, 10657, 270, 340, 8404, 2283, 2151, 1055, 22020, 270, 16936, 1055, 8422, 270, 12988, 289, 4425, 363, 248, 9810, 805, 563, 270, 1682, 3101, 396, 543, 253, 1922, 408, 3376, 423, 1168, 3697, 2867, 255, 12200, 1922, 254, 730, 1055, 7941, 554, 696, 543, 7939, 289, 4588, 255, 7617, 25155, 366, 16697, 4866, 270, 1682, 1026, 1284, 396, 273, 710, 315, 270, 1283, 277, 914, 933, 285, 9025, 4906, 313, 5575, 255, 24564, 650, 554, 1395, 255, 1662, 543, 1055, 905, 846, 1076, 21955, 270, 1682, 27407, 6118, 1055, 4465, 289, 3336, 255, 738, 6118, 1055, 4866, 289, 1424, 10652, 1055, 3581, 270, 1682, 949, 5941, 1055, 10057, 721, 253, 22370, 289, 4653, 622, 271, 314, 5626, 7941, 785, 259, 660, 8438, 289, 8091, 268, 10420, 270, 1132, 543, 248, 11399, 1717, 90, 18078, 272, 28996, 289, 5527, 697, 2327, 270, 5626, 5317, 284, 865, 3650, 16587, 366, 2692, 2158, 796, 84, 272, 13446, 1966, 696, 26709, 1822, 461, 1565, 335, 270, 1132, 543, 248, 17092, 13095, 285, 1408, 7935, 19412, 696, 423, 652, 1822, 461, 844, 255, 475, 799, 1654, 27726, 271, 2327, 255, 488, 20003, 11870, 1745, 292, 1110, 2634, 453, 1055, 1706, 7414, 844, 248, 29389, 906, 272, 19697, 5121, 270, 1682, 1822, 461, 844, 285, 326, 27726, 271, 433, 1055, 5317, 270, 1682, 1822, 461, 844, 285, 326, 24575, 448, 632, 270, 5626, 1352, 916, 1979, 28125, 289, 18374, 1694, 3006, 14685, 844, 248, 1071, 7710, 255, 2899, 3056, 7719, 1055, 1395, 270, 1682, 1205, 667, 315, 1275, 3048, 1055, 5317, 554, 1263, 14867, 12749, 423, 1822, 461, 1290, 713, 270, 4007, 17798, 2327, 363, 1960, 423, 724, 650, 272, 253, 9425, 271, 3095, 272, 1055, 4179, 1350, 1960, 423, 1168, 2906, 8109, 248, 8428, 285, 304, 2046, 1055, 1395, 15819, 255, 1297, 1350, 363, 248, 6054, 270, 4007, 1168, 737, 1506, 341, 423, 916, 26929, 713, 276, 1055, 259, 816, 289, 1654, 1168, 3022, 2634, 556, 3938, 255, 15968, 6643, 1042, 253, 17461, 255, 344, 328, 20828, 1954, 5928, 453, 253, 259, 550, 2024, 289, 15417, 289, 267, 26526, 32501, 423, 1168, 2282, 2483, 1679, 276, 15819, 375, 3359, 270, 32250, 423, 916, 6794, 713, 1199, 7378, 255, 5588, 268, 556, 13425, 889, 375, 470, 1546, 10443, 270, 1316, 423, 12904, 4832, 255, 4983, 3938, 1168, 838, 21469, 289, 640, 338, 1506, 448, 26709, 12466, 4606, 315, 453, 253, 18422, 270, 1316, 423, 21560, 6362, 713, 255, 344, 17461, 2158, 389, 1144, 4560, 315, 276, 556, 257, 18063, 314, 1093, 23563, 589, 2106, 249, 2322, 285, 253, 3336, 276, 253, 10657, 2859, 262, 2779, 285, 582, 2232, 2384, 335, 360, 2847, 2930, 1682, 1032, 8300, 270, 340, 4570, 276, 253, 10657, 1032, 8300, 270, 1682, 18687, 21617, 448, 396, 255, 392, 3595, 1055, 4786, 1804, 10366, 289, 2001, 247, 3237, 270, 1682, 3101, 1562, 272, 253, 25364, 289, 272, 1055, 1395, 14883, 2946, 255, 504, 842, 341, 2232, 705, 780, 247, 1720, 1055, 1395, 1109, 326, 2371, 285, 942, 1415, 289, 6359, 5565, 693, 314, 5626, 7941, 1168, 7709, 2327, 697, 253, 21429, 255, 24714, 268, 276, 1408, 1090, 844, 16430, 882, 253, 4828, 1694, 7126, 253, 29287, 248, 5118, 1233, 4567, 341, 1168, 257, 9093, 453, 613, 417, 3570, 308, 289, 556, 1395, 6328, 10959, 270, 1245, 25413, 2307, 1648, 276, 1648, 2712, 253, 17891, 255, 23563, 5607, 833, 2375, 637, 22313, 1110, 366, 253, 2010, 270, 1682, 3101, 632, 4346, 285, 326, 333, 15498, 14419, 2018, 255, 2470, 253, 651, 1211, 289, 833, 1005, 696, 1055, 7941, 6297, 276, 453, 253, 25118, 289, 19807, 345, 253, 438, 23199, 4969, 4272, 253, 3569, 289, 696, 423, 255, 23563, 5607, 255, 81, 10652, 1591, 1055, 5849, 448, 969, 254, 255, 247, 289, 642, 272, 253, 24591, 289, 3406, 22392, 270, 1682, 3101, 416, 5764, 248, 21833, 285, 6649, 1055, 2088, 335, 259, 4003, 272, 3868, 453, 248, 23622, 25364, 270, 23563, 5607, 3101, 253, 2753, 4279, 285, 326, 637, 16927, 289, 423, 1246, 253, 6180, 26038, 270, 1130, 366, 1055, 5317, 255, 2691, 255, 249, 543, 1205, 667, 289, 18994, 255, 79, 361, 5888, 1055, 30768, 2239, 255, 4957, 5382, 2505, 315, 270, 2447, 1055, 7941, 7709, 2327, 697, 477, 1513, 289, 7288, 9359, 255, 22475, 2462, 253, 23548, 289, 3458, 268, 255, 23563, 5607, 1689, 11113, 1055, 4020, 2215, 253, 6664, 289, 8109, 253, 3377, 13879, 882, 1055, 31250, 5813, 1055, 20627, 270, 1682, 2906, 6821, 642, 1655, 783, 4232, 335, 1055, 2526, 270, 5626, 7941, 916, 20872, 448, 1055, 2001, 317, 17451, 314, 1093, 23563, 589, 2106, 249, 3135, 2322, 2859, 84, 690, 626, 1746, 1197, 3745, 3068, 725, 270, 1245, 1985, 253, 3377, 6005, 713, 253, 2743, 272, 26319, 270, 6549, 345, 556, 29287, 640, 2539, 4588, 363, 18883, 2432, 23563, 5607, 5731, 819, 448, 253, 4570, 3275, 42, 1746, 1197, 1565, 2106, 249, 2322, 255, 332, 1232, 255, 24803, 255, 303, 287, 756, 1055, 20627, 255, 4957, 22677, 255, 25930, 255, 344, 2743, 272, 12388, 1694, 1093, 42, 7782, 461, 248, 21576, 263, 2432, 1093, 2828, 19493, 2106, 7960, 7941, 1168, 2322, 3275, 1065, 2539, 248, 2483, 12964, 270, 1065, 2539, 1249, 8404, 8645, 2432, 673, 543, 253, 881, 7822, 6816, 341, 9115, 4226, 26709, 270, 340, 9557, 1074, 276, 253, 7030, 1847, 270, 340, 3468, 335, 632, 13446, 7717, 270, 1682, 543, 586, 3787, 289, 1232, 1189, 83, 2457, 270, 5626, 7941, 6821, 345, 285, 612, 2018, 1694, 30244, 88, 2473, 255, 73, 7081, 13470, 255, 344, 3603, 12816, 1644, 4828, 1694, 10861, 23246, 14948, 1285, 248, 1487, 327, 1481, 272, 253, 2560, 289, 253, 14650, 255, 3202, 254, 906, 276, 253, 12281, 390, 272, 1055, 1030, 32501, 253, 933, 255, 2003, 253, 3406, 3377, 267, 12103, 1392, 5813, 1055, 4866, 255, 23825, 914, 272, 253, 7743, 272, 253, 1352, 270, 1682, 1168, 248, 892, 3121, 335, 21429, 891, 724, 1865, 285, 1879, 453, 556, 1395, 1468, 842, 289, 5575, 2731, 381, 373, 15192, 6359, 83, 1795, 270, 859, 942, 326, 10973, 1109, 1039, 2232, 17769, 255, 249, 1109, 1039, 2232, 16231, 270, 23563, 5607, 1168, 25413, 2712, 253, 19294, 255, 7960, 8954, 27797, 2348, 1055, 9366, 255, 504, 842, 366, 253, 14614, 272, 1055, 1395, 9524, 270, 1682, 543, 8404, 289, 6410, 272, 4599, 270, 5626, 3685, 7709, 2327, 341, 423, 543, 8404, 13685, 10657, 13685, 945, 423, 6445, 1255, 1600, 255, 8584, 891, 19433, 289, 1288, 891, 1822, 461, 255, 344, 2121, 13590, 2327, 811, 4425, 423, 543, 366, 556, 1395, 7440, 71, 2573, 1694, 1229, 556, 22827, 255, 303, 1875, 28312, 289, 32369, 789, 255, 1229, 556, 267, 317, 1501, 255, 16693, 3581, 255, 81, 1318, 20003, 289, 1539, 309, 4520, 270, 20748, 10509, 26709, 554, 10958, 270, 1682, 543, 13110, 270, 1682, 19433, 2355, 315, 285, 7241, 1694, 7960, 914, 5818, 314, 465, 253, 22096, 345, 253, 1600, 1485, 423, 543, 3952, 255, 249, 949, 5941, 1055, 12451, 721, 253, 22370, 272, 1055, 9923, 289, 1689, 322, 713, 882, 1055, 4866, 255, 18769, 751, 480, 2658, 1055, 2239, 543, 22461, 270, 1682, 5022, 253, 1802, 289, 257, 4593, 271, 1055, 4866, 1392, 22899, 315, 270, 1682, 284, 659, 6118, 7241, 345, 253, 2174, 3527, 255, 1808, 18856, 1055, 13288, 255, 251, 1055, 9366, 289, 775, 1055, 8954, 270, 1682, 1822, 480, 2658, 253, 22370, 543, 8141, 270, 1173, 881, 633, 4837, 1689, 6643, 1392, 1055, 1706, 7414, 289, 304, 3023, 345, 1055, 32239, 270, 1682, 5198, 458, 396, 2634, 255, 1070, 1055, 689, 19279, 345, 289, 244, 7551, 1284, 1392, 253, 28839, 314, 6544, 253, 13487, 743, 1506, 253, 1175, 1530, 26266, 329, 452, 626, 3202, 255, 9568, 7662, 453, 650, 12035, 721, 1750, 366, 248, 3458, 244, 31027, 363, 436, 7662, 23308, 270, 340, 20721, 272, 8176, 23246, 14948, 255, 264, 543, 248, 8404, 1152, 255, 380, 12184, 7584, 16434, 255, 4835, 4219, 1591, 18453, 255, 4835, 570, 268, 276, 253, 10807, 844, 248, 470, 1546, 14438, 270, 2164, 253, 21019, 334, 1067, 26319, 272, 253, 23490, 13249, 255, 3189, 1144, 366, 15742, 276, 23591, 1333, 1801, 15772, 403, 789, 255, 20406, 248, 9401, 272, 6877, 289, 5505, 270, 340, 1152, 2158, 2622, 721, 253, 5042, 1690, 1215, 363, 26709, 543, 27726, 268, 1055, 5317, 1415, 1333, 6837, 270, 4007, 17504, 1408, 30045, 2634, 453, 248, 2355, 1333, 7561, 271, 4809, 363, 1960, 1654, 1168, 11194, 271, 396, 314, 1093, 23801, 1954, 2106, 3977, 2322, 2859, 1129, 12472, 23765, 2432, 23563, 5607, 244, 22296, 2634, 453, 1408, 3275, 2828, 255, 42, 21223, 1197, 2106, 249, 2322, 289, 17408, 725, 248, 6664, 267, 690, 289, 32462, 535, 453, 4272, 253, 7984, 270, 34, 29456, 369, 4052, 1813, 1144, 253, 4887, 272, 253, 21432, 255, 6213, 12457, 248, 9366, 272, 6110, 270, 340, 32462, 535, 543, 18513, 289, 678, 31002, 1224, 253, 9591, 1168, 16785, 1042, 314, 4007, 4688, 1408, 30045, 276, 253, 4739, 272, 253, 4809, 1562, 3275, 673, 554, 4379, 2232, 10500, 4352, 775, 253, 16135, 2432, 10861, 23246, 14948, 20907, 721, 253, 14059, 5672, 433, 253, 871, 1734, 7857, 891, 990, 2622, 3068, 2215, 26709, 554, 8422, 289, 4671, 6358, 756, 2327, 270, 1682, 16903, 713, 2634, 289, 8709, 448, 253, 7639, 276, 1055, 7941, 554, 8954, 270, 1682, 21223, 1197, 2128, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41, 2940, 247, 28903, 22123, 545, 8690, 956, 20973, 625, 1790, 19794, 335, 5660, 391, 186, 3013, 3544, 5281, 879, 3278, 945, 1140, 3544, 5281, 8043, 28216, 649, 4922, 632, 255, 8980, 272, 11585, 17424, 693, 20781, 1197, 536, 16684, 345, 7569, 945, 3214, 4324, 911, 2776, 396, 3697, 1250, 285, 1360, 11017, 247, 693, 879, 1507, 2876, 255, 24764, 5281, 1147, 870, 248, 1217, 3214, 4324, 433, 7565, 713, 12706, 289, 3229, 2658, 253, 1600, 12913, 5967, 285, 22830, 578, 355, 37, 1413, 16883, 84, 6989, 22830, 956, 549, 536, 777, 285, 1927, 945, 12706, 289, 1020, 2658, 12913, 5967, 335, 1778, 314, 355, 15254, 16005, 20480, 2333, 255, 12667, 289, 5777, 1095, 7578, 248, 19179, 19989, 247, 562, 10720, 956, 549, 536, 777, 285, 870, 16883, 84, 4458, 363, 3229, 363, 1575, 2658, 12913, 5967, 335, 1440, 314, 355, 2848, 1049, 84, 2865, 276, 3152, 2893, 366, 1095, 5302, 1636, 697, 1778, 3910, 289, 476, 24616, 1778, 1809, 314, 20639, 1232, 255, 347, 360, 1360, 19989, 247, 562, 363, 253, 6980, 3940, 255, 1129, 939, 1360, 3544, 5281, 363, 248, 1825, 6056, 335, 7569, 16883, 84, 1012, 917, 314, 1611, 861, 360, 356, 263, 3404, 360, 1565, 697, 406, 2120, 11017, 247, 255, 8266, 301, 721, 253, 1387, 3544, 5281, 3303, 289, 1999, 2576, 248, 1831, 2343, 1889, 285, 29386, 1095, 289, 1020, 8720, 314, 4731, 345, 285, 1636, 7517, 355, 8085, 396, 2434, 2699, 4742, 186, 355, 1489, 1041, 41, 1304, 22123, 545, 19247, 186, 340, 18239, 4439, 18856, 23014, 247, 28903, 22123, 545, 186, 6307, 783, 272, 253, 8351, 4272, 3544, 5281, 27, 18, 186, 355, 673, 554, 1319, 13575, 265, 270, 52, 6037, 356, 332, 783, 1778, 9159, 406, 4993, 1892, 945, 363, 1472, 11143, 1306, 2446, 640, 499, 3798, 375, 693, 2233, 4824, 289, 1472, 16693, 1306, 2446, 640, 1746, 1197, 375, 799, 640, 1746, 1197, 1599, 285, 22830, 448, 480, 4306, 270, 4461, 248, 3544, 5281, 7791, 255, 6890, 9277, 1197, 27757, 345, 556, 2682, 693, 270, 3500, 1217, 313, 4721, 366, 253, 1112, 24208, 289, 3121, 1019, 2899, 3029, 904, 556, 3844, 375, 2183, 270, 3500, 1217, 313, 2621, 749, 10301, 272, 1095, 289, 14812, 255, 7299, 640, 3801, 285, 693, 11017, 247, 375, 461, 314, 355, 673, 21331, 341, 4034, 7045, 248, 1217, 554, 2260, 272, 1372, 313, 596, 1156, 730, 1358, 8471, 341, 1217, 3271, 248, 3940, 272, 2468, 19989, 247, 562, 356, 332, 461, 29397, 2955, 285, 945, 891, 1746, 1197, 3271, 480, 3940, 1436, 355, 673, 4421, 14913, 945, 285, 3896, 276, 253, 6520, 272, 2095, 30207, 1440, 314, 355, 673, 14106, 945, 1224, 640, 359, 1657, 270, 600, 1119, 1255, 29953, 2440, 409, 4470, 453, 3544, 5281, 289, 1811, 1095, 1250, 1657, 1019, 1297, 1215, 799, 640, 3235, 783, 6980, 1402, 272, 10593, 289, 26228, 335, 19989, 247, 562, 314, 355, 673, 21331, 341, 4034, 248, 3783, 272, 2356, 409, 870, 29953, 3499, 9710, 556, 4992, 272, 1095, 6049, 289, 15329, 32459, 314, 355, 673, 21331, 341, 3457, 363, 248, 2753, 3185, 799, 2682, 3499, 1012, 16042, 289, 596, 276, 22465, 314, 355, 673, 21331, 341, 905, 1440, 3969, 363, 277, 27513, 901, 1019, 1297, 248, 7769, 311, 5630, 270, 2148, 7737, 248, 1217, 363, 423, 2434, 1324, 9768, 536, 870, 2327, 1700, 25854, 2562, 248, 6835, 3940, 314, 355, 41, 1304, 5281, 3602, 3610, 285, 326, 2589, 2566, 289, 2554, 12807, 314, 355, 12015, 4051, 3544, 5281, 13598, 1783, 2028, 18292, 1770, 11782, 314, 41, 2940, 247, 28903, 22123, 545, 19247, 186, 355, 10171, 369, 26969, 83, 3113, 270, 600, 7578, 253, 13291, 272, 3822, 289, 3820, 2982, 314, 355, 5469, 1197, 3412, 16488, 84, 270, 7844, 1264, 10396, 4827, 272, 1704, 345, 248, 16488, 409, 8408, 18432, 538, 375, 400, 314, 355, 5469, 1197, 693, 23456, 4310, 3268, 285, 4653, 441, 366, 270, 17716, 3268, 313, 605, 388, 268, 366, 24711, 289, 360, 1959, 486, 1608, 272, 5938, 314, 355, 6187, 783, 720, 1485, 4653, 18535, 285, 25687, 725, 1199, 6071, 315, 270, 859, 360, 777, 285, 4653, 441, 3603, 19982, 11017, 247, 255, 1129, 2539, 1763, 1042, 4796, 5639, 480, 276, 1071, 4324, 289, 1232, 4653, 622, 268, 480, 1071, 314, 355, 5053, 2452, 360, 2539, 4653, 18535, 345, 248, 3156, 2005, 356, 66, 5928, 3325, 453, 486, 13786, 1781, 409, 867, 795, 600, 7578, 253, 13291, 272, 14755, 5938, 363, 1020, 363, 4402, 289, 2105, 314, 355, 5469, 1197, 2871, 396, 276, 486, 10686, 270, 600, 5369, 1197, 1959, 9628, 1175, 396, 558, 1959, 5728, 18126, 289, 2982, 314, 355, 859, 360, 476, 12230, 255, 6795, 2452, 360, 476, 486, 23791, 254, 345, 1648, 270, 465, 73, 4494, 11017, 247, 409, 1357, 285, 3986, 12230, 7436, 314, 465, 694, 268, 414, 12886, 17448, 5251, 21767, 1054, 186, 355, 7346, 285, 867, 345, 248, 3156, 2005, 270, 859, 360, 2539, 461, 2452, 697, 486, 867, 1666, 255, 30376, 1392, 248, 6762, 272, 16998, 409, 870, 248, 2814, 314, 355, 859, 360, 1266, 1441, 255, 2120, 253, 11178, 13716, 341, 360, 409, 1140, 270, 2860, 7081, 23564, 2587, 15275, 2982, 289, 1255, 720, 360, 20764, 248, 13716, 253, 1120, 5152, 24664, 25202, 254, 314, 355, 5469, 1197, 5361, 721, 4351, 375, 2526, 2411, 392, 9497, 486, 11017, 247, 4796, 12127, 3224, 276, 1071, 1655, 23642, 285, 863, 277, 3039, 270, 24658, 6518, 3962, 486, 10720, 272, 30674, 261, 356, 12030, 19982, 11017, 247, 672, 9151, 1436, 355, 8383, 5361, 2215, 253, 1893, 272, 1704, 276, 486, 16008, 270, 465, 694, 2562, 486, 2376, 314, 355, 8383, 5361, 721, 277, 10800, 356, 1662, 3962, 486, 1608, 272, 26154, 19465, 289, 612, 1800, 795, 859, 360, 409, 1979, 248, 9946, 255, 264, 554, 277, 10800, 314, 355, 465, 694, 7908, 1019, 8681, 1197, 1689, 353, 396, 276, 270, 340, 5684, 360, 5361, 253, 2898, 486, 4992, 272, 15275, 244, 8812, 270, 6187, 253, 13716, 642, 363, 5036, 363, 360, 359, 2598, 285, 2587, 23318, 2315, 314, 355, 5469, 1197, 25489, 253, 13716, 356, 29320, 268, 1704, 276, 285, 300, 2588, 694, 795, 600, 4997, 1197, 1012, 360, 818, 596, 11017, 247, 1175, 396, 1147, 1959, 15275, 2982, 433, 2576, 253, 8128, 9888, 255, 14597, 10713, 289, 18222, 1003, 289, 16518, 15275, 21024, 789, 314, 355, 859, 360, 777, 285, 693, 277, 3039, 285, 25454, 486, 11017, 247, 255, 7855, 285, 2798, 1018, 22509, 11789, 375, 22954, 649, 3991, 335, 4634, 28510, 6565, 400, 375, 4634, 28510, 4851, 715, 3039, 4010, 270, 465, 694, 268, 22509, 11789, 375, 22954, 409, 1783, 20589, 5938, 270, 3193, 363, 2483, 3039, 363, 313, 2635, 285, 4324, 25454, 486, 4705, 314, 355, 5469, 1197, 5361, 17235, 270, 6863, 1116, 1516, 23272, 289, 755, 1746, 1197, 25454, 4324, 270, 465, 694, 268, 18732, 721, 16008, 3962, 253, 10720, 272, 15275, 2982, 16, 15145, 8511, 314, 355, 22042, 369, 486, 9740, 11359, 270, 859, 360, 1140, 360, 409, 929, 3056, 5361, 276, 2336, 15901, 1964, 356, 1901, 253, 23916, 1666, 406, 1129, 939, 1999, 4467, 2634, 453, 5361, 268, 3191, 730, 4467, 1392, 285, 2031, 15901, 1964, 270, 340, 4992, 272, 3986, 1095, 8635, 289, 14605, 1906, 289, 11131, 873, 725, 11009, 3135, 360, 1700, 345, 285, 1608, 1386, 9740, 4762, 255, 1901, 253, 8422, 255, 72, 287, 247, 255, 31671, 255, 2700, 314, 465, 694, 268, 414, 26977, 538, 15831, 13210, 186, 355, 25737, 486, 4465, 366, 14534, 289, 4287, 1071, 1485, 360, 1423, 12847, 486, 2104, 314, 355, 1682, 751, 486, 11385, 255, 2919, 799, 461, 2635, 255, 4993, 870, 285, 2587, 8871, 5938, 270, 859, 486, 1071, 6484, 1197, 25979, 255, 22553, 396, 285, 248, 22032, 1485, 12818, 366, 284, 2090, 409, 2587, 8871, 4992, 314, 355, 5469, 1197, 311, 1000, 253, 13716, 2276, 355, 340, 9613, 272, 253, 13716, 31779, 725, 4171, 453, 486, 2526, 1255, 720, 360, 9370, 882, 396, 270, 859, 360, 777, 285, 9370, 2032, 1915, 1262, 360, 2539, 2507, 248, 2205, 720, 5368, 248, 15275, 360, 672, 1599, 285, 1440, 486, 13716, 314, 355, 10083, 486, 1071, 7378, 270, 6307, 253, 1387, 1071, 10361, 255, 3928, 271, 276, 1460, 453, 1974, 408, 956, 864, 956, 2154, 6918, 414, 18, 270, 445, 392, 3595, 25979, 1071, 3317, 255, 19, 270, 2563, 8300, 1071, 255, 20, 270, 23300, 12101, 1071, 255, 21, 270, 67, 2773, 1144, 1071, 356, 25654, 276, 4004, 1144, 1071, 13124, 929, 1095, 1608, 799, 31877, 721, 253, 7672, 255, 772, 672, 1783, 3822, 799, 15642, 823, 22, 270, 12733, 3357, 1071, 356, 2160, 1047, 3357, 1071, 3476, 929, 10339, 255, 264, 313, 461, 3369, 6035, 335, 1391, 5204, 289, 409, 326, 4171, 13700, 823, 23, 270, 10682, 12101, 1071, 356, 10682, 12101, 1071, 672, 461, 326, 4287, 2512, 285, 7213, 4171, 1019, 1662, 409, 1039, 4287, 1071, 1608, 1386, 730, 4402, 823, 24, 270, 864, 664, 85, 1071, 255, 25, 270, 81, 7648, 286, 1071, 255, 26, 270, 31995, 25979, 1071, 3317, 255, 728, 270, 31995, 6546, 272, 1071, 15, 19, 186, 355, 21875, 5150, 253, 9740, 3256, 1485, 21311, 409, 870, 285, 2587, 8871, 5938, 270, 25737, 366, 14534, 289, 1071, 289, 1232, 30064, 366, 5527, 314, 355, 5469, 1197, 5742, 486, 259, 2773, 722, 335, 253, 18991, 341, 6732, 11419, 270, 20478, 259, 2773, 722, 359, 1825, 8871, 14543, 2045, 314, 355, 5390, 248, 13883, 28544, 7462, 289, 4458, 725, 285, 4115, 314, 355, 859, 360, 1012, 248, 2526, 3822, 375, 30674, 255, 7855, 461, 285, 5792, 448, 396, 255, 22475, 1481, 3294, 396, 375, 3033, 396, 1994, 270, 600, 409, 3465, 3822, 289, 25555, 253, 1619, 270, 34, 3779, 1560, 23657, 15126, 1778, 375, 1315, 248, 1324, 4535, 285, 1994, 289, 1299, 253, 11194, 314, 355, 1130, 248, 1331, 17424, 4690, 285, 6335, 5361, 268, 255, 1129, 409, 7468, 486, 2104, 356, 2120, 248, 603, 17768, 1655, 248, 13716, 19730, 292, 2642, 1175, 1232, 9370, 253, 603, 17768, 721, 486, 6097, 364, 289, 16913, 2558, 5896, 276, 253, 8900, 314, 465, 694, 268, 414, 8724, 268, 1048, 29845, 10051, 186, 355, 3623, 914, 20781, 1197, 360, 3412, 248, 13716, 255, 1129, 652, 777, 285, 693, 486, 1395, 1071, 255, 68, 11019, 255, 85, 589, 255, 68, 922, 254, 375, 29389, 270, 2860, 2462, 818, 272, 755, 3962, 486, 1608, 272, 14315, 4028, 314, 355, 859, 360, 5361, 255, 1129, 409, 7998, 2587, 486, 4992, 433, 1018, 248, 892, 25979, 13716, 973, 720, 360, 5361, 255, 292, 1020, 363, 892, 13878, 973, 720, 255, 66, 3156, 6315, 254, 289, 5857, 25979, 1071, 270, 20646, 2018, 3156, 289, 25979, 7578, 486, 13291, 272, 2526, 5938, 289, 30674, 261, 255, 22690, 5938, 844, 1275, 16224, 3631, 289, 8408, 12843, 5938, 844, 6431, 289, 18432, 400, 270, 859, 1575, 693, 25979, 2755, 4936, 30793, 6315, 391, 289, 603, 2341, 261, 363, 1020, 363, 25979, 1071, 314, 355, 859, 360, 13365, 777, 285, 20764, 248, 603, 17768, 255, 15129, 811, 285, 11573, 3156, 366, 1071, 1019, 814, 563, 1019, 332, 1071, 1562, 314, 355, 34, 4837, 272, 1704, 341, 554, 1798, 1324, 285, 1200, 409, 1516, 2512, 18432, 375, 6431, 285, 1012, 360, 7669, 270, 3623, 914, 20781, 1197, 360, 3412, 818, 5361, 268, 10361, 255, 1129, 652, 777, 285, 1039, 2452, 341, 486, 11017, 247, 2906, 3218, 721, 2893, 366, 1750, 1217, 554, 13716, 255, 28234, 268, 1071, 255, 68, 922, 254, 375, 5247, 15, 20, 186, 355, 5390, 248, 18432, 538, 7462, 314, 355, 3197, 8552, 366, 486, 7489, 1019, 347, 360, 409, 1197, 1012, 248, 3156, 13716, 255, 1129, 2539, 1331, 1811, 1042, 4653, 18535, 375, 9908, 730, 1018, 248, 5818, 554, 314, 10082, 3548, 7379, 4345, 186, 355, 9709, 2560, 21996, 433, 2507, 248, 14310, 3390, 1485, 360, 1012, 991, 356, 3049, 558, 1039, 21996, 8247, 795, 3737, 255, 9873, 248, 991, 6508, 3203, 289, 4458, 27077, 314, 355, 6531, 1268, 1558, 345, 1648, 356, 864, 2071, 5465, 20421, 453, 637, 449, 10932, 5351, 2057, 1436, 355, 5469, 1197, 8797, 345, 1906, 363, 248, 9422, 11418, 335, 799, 5826, 375, 2755, 1565, 313, 2635, 270, 3300, 11017, 247, 313, 942, 248, 16163, 1906, 769, 589, 346, 255, 13049, 1067, 1800, 409, 873, 637, 1297, 7188, 649, 859, 2232, 6028, 844, 396, 2129, 2755, 3482, 1019, 2919, 861, 396, 4997, 1197, 14441, 956, 264, 4379, 1147, 314, 355, 859, 360, 1012, 248, 7769, 991, 9588, 289, 1979, 1199, 637, 5884, 360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 355, 8167, 480, 6536, 18481, 355, 10998, 268, 289, 14335, 268, 18481, 355, 34, 17531, 289, 3994, 2090, 18481, 355, 13693, 18699, 6904, 2705, 18481, 355, 31500, 276, 5628, 18481, 355, 11349, 18696, 18481, 355, 35, 14281, 4773, 6316, 18481, 355, 36, 14341, 285, 480, 6536, 18481, 355, 10924, 6316, 18481, 355, 22773, 430, 9759, 18481, 355, 22773, 430, 7544, 5350, 18481, 355, 9845, 299, 53, 8376, 416, 2213, 1116, 18481, 355, 15590, 24068, 18481, 355, 10626, 391, 416, 31805, 1144, 9514, 18481, 355, 26544, 248, 3153, 9969, 18481, 355, 24875, 3130, 6316, 18481, 355, 6863, 272, 20240, 186, 8194, 272, 608, 18676, 186, 12946, 64, 993, 20, 356, 993, 20, 823, 13693, 6836, 64, 22, 5276, 26, 1551, 255, 21, 5188, 186, 40, 6276, 12485, 579, 3391, 272, 2329, 432, 11309, 525, 6680, 1791, 186, 18662, 6454, 255, 29590, 272, 3862, 255, 27371, 2268, 525, 323, 316, 255, 49, 11805, 14105, 270, 24, 1204, 23, 255, 37, 323, 316, 255, 43, 330, 12339, 4344, 64, 26204, 19828, 255, 47, 20134, 186, 3030, 6603, 64, 643, 11467, 64, 993, 20, 649, 7086, 2067, 64, 1298, 8675, 64, 993, 20, 649, 31510, 64, 683, 8675, 64, 993, 20, 186, 22716, 17928, 414, 46, 3356, 265, 10348, 462, 417, 886, 11348, 186, 12222, 16130, 993, 20, 1072, 347, 86, 516, 67, 2416, 8480, 613, 69, 2112, 1630, 270, 600, 313, 277, 1994, 1809, 2357, 6716, 775, 253, 15543, 12986, 21913, 17016, 255, 822, 14819, 30971, 693, 255, 20630, 255, 332, 12406, 276, 818, 5406, 255, 14119, 253, 3345, 867, 313, 5123, 12969, 314, 340, 14385, 2035, 272, 352, 432, 2275, 13577, 313, 19074, 1018, 253, 2147, 2633, 272, 24531, 270, 340, 14385, 7634, 24436, 313, 9113, 289, 3298, 285, 253, 4664, 272, 1136, 4811, 289, 21310, 276, 480, 14385, 2035, 270, 340, 3421, 335, 14385, 720, 284, 8314, 313, 1246, 285, 476, 253, 1112, 831, 363, 341, 276, 18933, 255, 868, 13830, 477, 249, 5514, 265, 255, 332, 351, 13830, 477, 249, 5514, 265, 14385, 4497, 289, 11267, 27932, 277, 5220, 26951, 341, 480, 14385, 9962, 313, 18783, 417, 276, 831, 366, 1967, 2275, 13577, 270, 673, 313, 2282, 1018, 253, 6682, 21032, 3102, 272, 4664, 341, 363, 248, 1136, 7496, 7162, 8097, 285, 253, 352, 432, 2275, 3413, 2712, 253, 21032, 3559, 255, 887, 21032, 2726, 10357, 314, 465, 3520, 5664, 1726, 18, 1469, 21, 4048, 581, 5572, 277, 2023, 272, 7755, 14385, 4497, 272, 1967, 2275, 13577, 363, 22318, 272, 5068, 8296, 91, 13696, 648, 554, 1135, 270, 4766, 1679, 276, 480, 2357, 313, 253, 14385, 2035, 272, 352, 432, 2275, 13577, 4688, 276, 8141, 1932, 270, 52, 1070, 29266, 10049, 255, 344, 3704, 10904, 10849, 14128, 345, 5620, 64, 1204, 255, 5142, 25, 620, 248, 352, 432, 3607, 270, 600, 1190, 313, 10699, 448, 7755, 253, 6218, 272, 1136, 4811, 289, 21310, 276, 253, 27401, 272, 352, 980, 10857, 3359, 4688, 276, 8141, 1932, 942, 363, 393, 1070, 29266, 10049, 314, 19, 270, 40, 6276, 12485, 8219, 715, 566, 17377, 186, 673, 313, 1020, 1724, 1726, 22, 255, 23, 2053, 1554, 253, 2147, 769, 28978, 2070, 7634, 24436, 335, 6864, 1932, 5776, 356, 22215, 1932, 1655, 2275, 406, 262, 18783, 417, 356, 247, 8324, 559, 272, 253, 1515, 3147, 406, 332, 409, 326, 4349, 276, 818, 25775, 19648, 307, 9750, 10822, 433, 253, 7267, 2568, 673, 313, 5451, 24557, 341, 253, 7634, 24436, 4349, 882, 480, 2496, 4535, 356, 74, 10, 16987, 4729, 397, 18490, 554, 2035, 4723, 248, 30775, 289, 22052, 10, 90, 3391, 253, 3984, 4723, 272, 4664, 335, 1136, 4811, 289, 21310, 276, 6864, 1932, 5776, 314, 3720, 755, 4931, 6348, 255, 581, 1657, 9424, 341, 10520, 253, 1829, 25775, 19648, 307, 9750, 10822, 5499, 285, 253, 9214, 272, 253, 1352, 19896, 253, 15398, 272, 9617, 1936, 345, 253, 8716, 14385, 20954, 1773, 696, 313, 2195, 3984, 285, 326, 248, 657, 272, 253, 7634, 24436, 270, 3431, 255, 4454, 9075, 5068, 8296, 91, 13696, 648, 554, 7634, 721, 253, 1829, 25775, 19648, 307, 9750, 10822, 1018, 253, 18783, 559, 272, 253, 1515, 3147, 2168, 285, 253, 1057, 341, 253, 13806, 1295, 276, 253, 7634, 24436, 25896, 363, 12106, 253, 7634, 24436, 335, 253, 2275, 3413, 272, 253, 25775, 19648, 307, 9750, 10822, 270, 3431, 255, 344, 13806, 1295, 313, 4507, 433, 253, 2275, 375, 2302, 3413, 289, 11267, 6590, 8526, 1910, 17331, 433, 253, 7467, 248, 30775, 270, 465, 15575, 14385, 4497, 255, 344, 13806, 1295, 313, 2931, 285, 253, 14385, 20954, 1773, 314, 3431, 255, 864, 2774, 253, 7634, 24436, 335, 248, 20814, 352, 432, 2275, 3413, 4688, 276, 8141, 1932, 276, 352, 432, 10071, 6601, 18, 10, 1789, 22145, 359, 12716, 453, 18933, 7465, 285, 352, 432, 345, 253, 1250, 1648, 2097, 272, 5068, 8296, 91, 13696, 648, 554, 1280, 1515, 3147, 10426, 19, 10, 344, 13806, 1295, 276, 5068, 8296, 91, 13696, 648, 554, 2035, 313, 12716, 285, 276, 253, 2035, 272, 248, 20814, 352, 432, 2275, 314, 2928, 255, 344, 18933, 7465, 10071, 359, 2398, 285, 253, 20071, 13339, 10071, 363, 4639, 414, 3737, 253, 20071, 13339, 10071, 359, 2398, 285, 253, 352, 432, 10071, 363, 4639, 414, 1529, 6492, 25322, 268, 253, 18933, 10071, 276, 2377, 272, 253, 352, 432, 10071, 255, 581, 2774, 186, 2928, 255, 9108, 248, 477, 488, 980, 18919, 2275, 3413, 366, 18783, 417, 1280, 1515, 3147, 356, 8269, 8296, 91, 13696, 648, 554, 1515, 3147, 406, 247, 253, 19061, 3286, 1687, 288, 292, 1224, 3369, 313, 277, 13806, 1295, 4507, 433, 253, 3413, 272, 2275, 375, 2302, 289, 6590, 632, 253, 8526, 1910, 272, 253, 3413, 270, 465, 15575, 14385, 4497, 255, 262, 5876, 285, 253, 14385, 20954, 1773, 1295, 19061, 285, 248, 8521, 18919, 10993, 314, 2927, 253, 477, 488, 980, 18919, 2275, 3413, 326, 12716, 433, 20402, 721, 248, 352, 432, 2275, 3413, 276, 942, 248, 1119, 341, 396, 31198, 800, 5088, 289, 2468, 2275, 270, 3431, 255, 344, 2147, 769, 28978, 2070, 18783, 417, 1280, 1515, 3147, 19061, 285, 248, 18933, 18919, 1352, 313, 24436, 1588, 5876, 285, 341, 272, 248, 352, 432, 2275, 3413, 289, 2398, 433, 253, 7267, 453, 18933, 285, 352, 432, 10071, 270, 3522, 255, 864, 2774, 253, 18783, 417, 1515, 3147, 19061, 285, 352, 432, 2275, 13577, 255, 581, 4193, 10071, 345, 253, 1250, 1648, 2097, 272, 356, 22, 823, 2236, 18933, 285, 352, 432, 10071, 289, 2219, 344, 13806, 1295, 4507, 433, 253, 352, 432, 2275, 314, 4756, 30774, 356, 20, 11526, 23, 823, 332, 356, 25, 406, 9029, 356, 22, 823, 344, 1602, 13068, 3351, 272, 253, 21741, 417, 7634, 24436, 19061, 285, 352, 432, 2275, 13577, 359, 4349, 363, 1547, 1602, 13068, 3351, 272, 253, 519, 6276, 740, 417, 7634, 24436, 335, 480, 14385, 2035, 359, 4349, 1018, 24436, 1780, 363, 2905, 398, 255, 344, 7634, 24436, 276, 480, 14385, 2035, 9388, 5068, 8296, 91, 13696, 648, 554, 7634, 620, 3952, 1602, 13068, 3351, 270, 340, 519, 6276, 740, 417, 7634, 3351, 289, 359, 3322, 253, 22499, 272, 556, 21741, 417, 20308, 270, 340, 6782, 1602, 13068, 3351, 272, 253, 519, 6276, 740, 417, 7634, 476, 248, 1354, 13149, 314, 20, 270, 46, 8662, 272, 5952, 5381, 15439, 186, 340, 5412, 473, 4605, 12335, 272, 253, 14385, 2035, 359, 4349, 1018, 24436, 1780, 255, 332, 253, 4664, 272, 1136, 4811, 276, 253, 27401, 272, 248, 352, 432, 2275, 3413, 313, 6281, 1018, 8430, 1003, 276, 356, 1058, 823, 581, 2774, 253, 720, 3102, 272, 4664, 363, 1224, 253, 13635, 5493, 12375, 366, 3121, 285, 1500, 720, 2568, 21292, 356, 1551, 406, 90, 3391, 253, 3421, 335, 14385, 720, 284, 8314, 276, 480, 14385, 2035, 363, 7543, 620, 253, 1112, 831, 363, 341, 4349, 276, 253, 27401, 272, 20814, 18933, 2219, 32515, 369, 477, 249, 5514, 265, 2219, 332, 792, 13830, 477, 249, 5514, 265, 1726, 19, 255, 21, 2053, 14575, 13577, 15, 3431, 255, 5014, 4664, 2712, 253, 21032, 3559, 6340, 14385, 720, 284, 8314, 314, 8717, 255, 23172, 276, 356, 1058, 406, 90, 3391, 253, 21032, 3102, 272, 4664, 363, 5399, 2774, 248, 965, 16013, 285, 253, 2391, 272, 356, 1204, 823, 27325, 21032, 4664, 409, 326, 6281, 270, 974, 6682, 21032, 4664, 32135, 332, 356, 1204, 406, 250, 24053, 285, 22678, 253, 6682, 21032, 3102, 12106, 2391, 363, 1224, 313, 248, 3259, 272, 4664, 270, 600, 2838, 341, 10432, 10052, 315, 366, 2568, 3431, 255, 260, 1959, 276, 253, 14385, 1773, 1649, 1823, 4664, 276, 253, 6682, 21032, 3559, 255, 332, 11267, 363, 248, 1136, 7496, 7162, 8097, 285, 253, 352, 432, 2275, 3413, 2712, 253, 21032, 3559, 255, 887, 21032, 2726, 10357, 270, 1173, 27172, 30886, 409, 326, 16900, 276, 253, 2625, 2264, 448, 253, 27401, 272, 393, 1070, 29266, 10049, 285, 5418, 480, 4703, 1528, 314, 3737, 255, 23172, 289, 2219, 344, 10264, 289, 4723, 272, 4664, 359, 4349, 363, 186, 21, 270, 2986, 15238, 276, 253, 987, 279, 6501, 272, 248, 2329, 432, 11309, 22655, 186, 340, 599, 624, 83, 624, 992, 335, 818, 14385, 2035, 313, 3388, 288, 292, 696, 409, 326, 3241, 13117, 276, 480, 14385, 2035, 363, 17799, 255, 9108, 7545, 4664, 2712, 253, 21032, 3559, 914, 255, 1660, 253, 599, 624, 83, 624, 992, 7578, 285, 375, 596, 13117, 363, 5012, 9075, 253, 21032, 10822, 285, 253, 14884, 10822, 1018, 289, 12038, 2219, 581, 476, 6942, 30774, 356, 2253, 406, 9029, 356, 2296, 406, 332, 1018, 253, 1057, 341, 335, 720, 5544, 22345, 289, 335, 13497, 22345, 255, 581, 2774, 363, 253, 10264, 18439, 3102, 272, 4664, 289, 21629, 3102, 272, 4664, 276, 253, 27401, 272, 248, 352, 432, 2275, 3413, 4688, 276, 8141, 1932, 270, 30524, 356, 1912, 406, 2251, 326, 785, 285, 1190, 253, 4664, 272, 30216, 4811, 4467, 276, 253, 27401, 272, 352, 432, 12814, 314, 22, 270, 4580, 10987, 289, 2329, 3632, 186, 340, 1528, 4349, 276, 480, 1854, 476, 267, 14241, 253, 1119, 335, 253, 1190, 272, 14385, 4497, 272, 352, 432, 2275, 13577, 844, 393, 1070, 29266, 10049, 270, 340, 7785, 6049, 272, 253, 1528, 4349, 276, 480, 1854, 359, 363, 4639, 1683, 18, 10, 38, 13918, 554, 20598, 3550, 2035, 4723, 409, 326, 9113, 1018, 849, 7634, 24436, 270, 340, 15509, 1057, 697, 755, 2035, 4723, 313, 341, 640, 476, 914, 650, 7012, 696, 313, 4507, 433, 253, 2275, 375, 2302, 3413, 270, 3431, 255, 344, 2035, 4723, 409, 326, 3224, 11397, 289, 8011, 8829, 4349, 335, 64, 1683, 19, 10, 340, 18439, 3102, 272, 4664, 289, 253, 21629, 3102, 272, 4664, 409, 326, 11397, 285, 4539, 253, 4664, 272, 1136, 4811, 289, 21310, 276, 253, 27401, 272, 352, 432, 12814, 270, 1294, 4723, 359, 11552, 725, 335, 2258, 1251, 867, 289, 4582, 4971, 5178, 7739, 1683, 20, 10, 465, 15575, 14385, 4497, 255, 344, 13806, 1295, 409, 326, 11216, 315, 1029, 483, 285, 253, 14385, 20954, 1773, 19061, 285, 248, 352, 432, 2275, 270, 3431, 255, 347, 253, 2103, 3421, 272, 313, 4349, 453, 253, 2035, 4723, 255, 264, 558, 10846, 248, 304, 1902, 285, 7012, 30256, 272, 253, 14385, 20954, 1773, 1295, 335, 480, 2035, 1683, 21, 10, 3440, 14385, 9962, 942, 363, 14385, 15264, 6173, 1109, 326, 6281, 276, 253, 27401, 272, 352, 432, 12814, 314, 355, 38, 270, 47, 270, 1427, 347, 86, 289, 393, 270, 57, 270, 44, 270, 919, 398, 86, 2859, 40, 6276, 12485, 5214, 289, 17482, 2035, 3102, 19061, 285, 4582, 4971, 665, 980, 1618, 375, 24166, 720, 10016, 13577, 272, 2275, 1363, 4608, 272, 18933, 9214, 2106, 18662, 11568, 765, 255, 4106, 270, 2296, 255, 2899, 270, 18, 255, 403, 270, 9051, 1469, 5870, 255, 971, 26, 314, 355, 38, 270, 47, 270, 1427, 347, 86, 255, 34, 270, 2537, 1885, 255, 332, 748, 270, 36, 270, 17395, 425, 86, 2859, 2986, 15238, 276, 20814, 792, 13830, 477, 249, 5514, 265, 14385, 1932, 720, 2106, 30480, 276, 10224, 255, 4106, 270, 20, 255, 403, 270, 4932, 1469, 6826, 255, 971, 26, 314, 355, 38, 270, 47, 270, 1427, 347, 86, 255, 34, 270, 2537, 1885, 255, 332, 748, 270, 36, 270, 17395, 425, 86, 2859, 1579, 460, 11527, 3645, 272, 18490, 709, 14385, 2035, 4723, 276, 10437, 20814, 351, 13830, 477, 249, 5514, 265, 1932, 5776, 2106, 21596, 6536, 272, 23891, 10224, 255, 4106, 270, 26, 255, 403, 270, 1623, 1469, 5322, 255, 993, 17, 314, 355, 38 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3475, 64, 22216, 22, 1499, 19, 416, 186, 34, 1179, 16, 8216, 3252, 1046, 313, 19552, 276, 696, 2593, 542, 7670, 878, 3276, 409, 326, 5520, 270, 32154, 13058, 272, 253, 3837, 2173, 272, 973, 272, 871, 27808, 7642, 335, 253, 4831, 272, 2593, 542, 7670, 878, 3276, 270, 340, 27808, 359, 25755, 271, 276, 248, 3923, 272, 3555, 1934, 31180, 5286, 389, 10310, 3358, 9927, 9666, 11173, 255, 11642, 8870, 973, 9666, 4444, 285, 1447, 253, 24684, 272, 1557, 276, 253, 612, 9666, 4444, 270, 600, 2829, 335, 1179, 16, 8216, 878, 4831, 276, 17926, 26756, 392, 5544, 9202, 270, 465, 2326, 255, 4477, 5286, 389, 10310, 3358, 359, 785, 255, 344, 542, 7670, 878, 672, 326, 21044, 1305, 253, 2770, 6211, 272, 6961, 314, 18, 270, 34, 3252, 1046, 335, 16676, 248, 14773, 272, 4726, 878, 3276, 255, 4789, 3252, 1046, 11843, 578, 5886, 289, 1508, 9666, 11173, 255, 4789, 272, 2322, 9666, 11173, 2507, 248, 5286, 389, 10310, 2785, 289, 248, 5286, 389, 10310, 255, 623, 1275, 272, 2322, 5286, 389, 10310, 276, 973, 272, 2322, 9666, 11173, 11749, 285, 248, 1354, 1046, 1809, 4800, 255, 4789, 272, 2322, 9666, 11173, 5991, 2389, 277, 18173, 8385, 272, 248, 19288, 5114, 7347, 1363, 2322, 9666, 4444, 363, 248, 1295, 272, 2322, 5286, 389, 10310, 799, 2322, 9666, 4444, 313, 276, 800, 20648, 1402, 255, 344, 18173, 8385, 272, 2322, 965, 9666, 4444, 1285, 4726, 272, 253, 18173, 8385, 272, 2322, 1508, 9666, 4444, 255, 4789, 1461, 272, 253, 18173, 8385, 5499, 285, 248, 902, 878, 1402, 1765, 10461, 1363, 973, 9666, 4444, 335, 10218, 253, 24684, 272, 1557, 276, 253, 612, 9666, 4444, 649, 332, 186, 10461, 335, 13058, 253, 18173, 8385, 272, 973, 272, 2322, 9666, 11173, 285, 2856, 2322, 902, 878, 3276, 314, 19, 270, 340, 3252, 1046, 272, 2980, 64, 18, 13791, 2322, 965, 289, 1508, 9666, 11173, 16269, 248, 3923, 272, 21543, 5286, 389, 10310, 3358, 255, 623, 1275, 272, 253, 5286, 389, 10310, 272, 973, 272, 2322, 3358, 1355, 1588, 4245, 285, 253, 8693, 272, 253, 612, 272, 2322, 3358, 255, 344, 612, 1275, 272, 253, 5286, 389, 10310, 272, 973, 272, 2322, 3358, 4245, 285, 248, 1354, 2285, 1515, 255, 344, 3178, 272, 2322, 3358, 973, 4245, 285, 248, 902, 3783, 1515, 314, 20, 270, 340, 3252, 1046, 272, 2980, 64, 19, 2258, 11843, 248, 12765, 328, 483, 2785, 14616, 253, 26470, 272, 650, 272, 253, 4182, 6897, 272, 2322, 3252, 1046, 285, 248, 3704, 3783, 1515, 314, 18, 270, 19549, 272, 253, 1048, 3895, 186, 600, 4337, 11801, 285, 248, 1179, 16, 8216, 3252, 1046, 276, 696, 2593, 1179, 914, 3252, 878, 3276, 409, 326, 5520, 314, 19, 270, 17329, 272, 253, 23520, 9117, 186, 13357, 2653, 1716, 5048, 1030, 276, 1179, 914, 12309, 356, 14858, 406, 263, 1179, 16, 8216, 12309, 356, 51, 16, 56, 795, 1294, 12309, 359, 4595, 276, 4248, 831, 366, 2593, 9411, 289, 9240, 255, 344, 3252, 1514, 1285, 5228, 448, 253, 731, 22701, 272, 4313, 289, 5323, 3194, 270, 673, 313, 1724, 341, 818, 272, 248, 966, 272, 5114, 3351, 672, 326, 785, 363, 248, 3252, 1046, 270, 974, 1123, 255, 623, 272, 253, 13064, 542, 7670, 3252, 1514, 543, 248, 17127, 23142, 4245, 285, 253, 731, 22701, 272, 253, 4313, 289, 5323, 3194, 270, 340, 3783, 4469, 448, 973, 3783, 3865, 543, 4507, 433, 253, 4013, 375, 7619, 272, 248, 1829, 3837, 448, 253, 3865, 314, 31747, 285, 253, 9666, 4444, 2282, 276, 6588, 270, 18, 255, 344, 3012, 5915, 272, 4279, 272, 248, 6040, 542, 7670, 3252, 1046, 558, 326, 19552, 270, 340, 3252, 1046, 2845, 248, 2035, 937, 21688, 356, 30860, 406, 728, 270, 5657, 313, 19091, 5520, 276, 253, 3252, 1046, 433, 253, 5076, 272, 1829, 18173, 4091, 272, 579, 3556, 64, 728, 270, 974, 1123, 255, 344, 8507, 4765, 272, 579, 3556, 64, 728, 672, 326, 4507, 433, 7652, 30215, 1305, 253, 6961, 901, 270, 340, 8693, 272, 579, 3556, 64, 728, 313, 4245, 285, 248, 8693, 1773, 987, 23468, 270, 340, 10310, 272, 579, 3556, 64, 728, 313, 4245, 285, 987, 247, 255, 822, 11595, 861, 579, 3556, 64, 728, 313, 345, 375, 1042, 270, 340, 2300, 272, 579, 3556, 64, 728, 313, 4245, 285, 987, 534, 270, 1316, 579, 3556, 64, 728, 313, 345, 255, 55, 534, 558, 326, 987, 23468, 16409, 253, 8507, 4765, 272, 579, 3556, 64, 728, 270, 340, 8507, 4765, 272, 579, 3556, 64, 728, 409, 1232, 326, 4507, 433, 13058, 987, 534, 314, 859, 253, 4444, 272, 6588, 270, 18, 313, 6713, 276, 4771, 9202, 255, 66, 542, 7670, 3252, 313, 4462, 13791, 973, 272, 253, 579, 3556, 3358, 2975, 363, 248, 3252, 1046, 270, 340, 579, 3556, 24345, 359, 4245, 285, 2285, 3194, 289, 253, 3178, 359, 4245, 285, 3783, 3194, 270, 34, 1829, 3252, 1046, 313, 1179, 433, 15257, 253, 3163, 2285, 1515, 1773, 285, 5404, 345, 253, 579, 3556, 289, 13058, 253, 4765, 345, 253, 3163, 3783, 1515, 314, 51, 16, 56, 3252, 1514, 6410, 272, 652, 5333, 363, 542, 7670, 3252, 1514, 359, 652, 1724, 270, 1294, 3252, 1514, 1540, 248, 3923, 272, 253, 9666, 11173, 2282, 276, 6588, 270, 18, 270, 340, 27209, 359, 3555, 1934, 31180, 285, 718, 363, 248, 17926, 26756, 392, 270, 2058, 1323, 4310, 272, 253, 2785, 248, 4595, 276, 8809, 255, 26940, 433, 253, 902, 11854, 18173, 272, 973, 21688, 255, 29320, 84, 253, 17926, 26756, 392, 721, 248, 1829, 878, 1402, 270, 340, 542, 7670, 4951, 272, 4279, 313, 1625, 345, 13058, 253, 3034, 4765, 272, 2518, 9666, 4444, 5346, 1387, 1323, 725, 255, 292, 5105, 3173, 270, 3651, 272, 253, 17926, 26756, 392, 2115, 255, 344, 12681, 1795, 272, 253, 871, 9666, 11173, 359, 24688, 3304, 270, 859, 650, 9666, 4444, 18173, 313, 991, 255, 344, 612, 1349, 326, 1730, 255, 332, 15208, 14, 758, 66, 270, 7229, 871, 542, 7670, 10081, 375, 878, 3276, 255, 17, 375, 64, 18, 255, 505, 1575, 6921, 3017, 253, 2736, 2794, 7250, 272, 18173, 270, 3431, 255, 5014, 650, 542, 7670, 878, 1402, 313, 6410, 272, 1285, 5520, 270, 340, 542, 16, 56, 4951, 272, 4279, 313, 1625, 345, 10218, 253, 1402, 272, 253, 17926, 26756, 392, 1253, 1323, 4310, 270, 1294, 542, 16, 56, 3252, 1514, 359, 3965, 6410, 272, 16676, 914, 650, 542, 7670, 878, 3783, 289, 650, 542, 16, 56, 878, 3783, 9105, 314, 1130, 253, 3252, 3747, 335, 3518, 2653, 1716, 1940, 596, 20659, 255, 344, 4831, 5088, 272, 755, 1716, 1349, 1959, 285, 1927, 253, 746, 453, 4319, 12260, 1261, 315, 1539, 289, 15655, 270, 19123, 253, 542, 7670, 878, 4831, 10331, 272, 5105, 2167, 3783, 542, 16, 56, 255, 19009, 3783, 542, 7670, 3252, 1514, 916, 326, 650, 942, 1119, 272, 2958, 4831, 5088, 270, 34, 542, 16, 56, 3252, 696, 313, 6410, 272, 16676, 2593, 542, 7670, 878, 3276, 620, 1868, 864, 1035, 461, 838, 7508, 314, 15887, 1208, 313, 253, 6709, 272, 5352, 878, 721, 542, 7670, 3252, 1514, 270, 12019, 345, 253, 6961, 901, 3437, 255, 10660, 1208, 672, 1672, 1305, 253, 2240, 375, 4674, 6211, 272, 2785, 21999, 270, 673, 313, 24615, 285, 7160, 3252, 2721, 1208, 2658, 253, 7467, 6211, 272, 253, 6961, 901, 285, 1418, 335, 4674, 1889, 276, 253, 5352, 1705, 285, 326, 11089, 721, 253, 3252, 270, 340, 2508, 285, 2721, 986, 248, 3252, 1046, 4674, 276, 253, 6961, 901, 313, 1724, 363, 953, 13830, 6709, 10331, 4979, 465, 1892, 272, 253, 2174, 5467, 255, 264, 313, 13042, 285, 1879, 248, 542, 16, 56, 3252, 1046, 696, 409, 5048, 2593, 542, 7670, 878, 3276, 270, 673, 916, 652, 326, 13042, 341, 942, 248, 3252, 1046, 476, 4674, 6709, 10331, 314, 673, 313, 253, 9527, 1444, 272, 480, 4337, 285, 2022, 3252, 1514, 314, 4514, 1444, 272, 480, 4337, 313, 285, 5048, 2593, 542, 7670, 878, 3276, 276, 248, 2167, 542, 16, 56, 3252, 1046, 314, 13646, 1750, 1444, 272, 480, 4337, 313, 285, 1552, 253, 25478, 3252, 1046, 366, 4674, 6709, 10331, 314, 1294, 289, 612, 3359, 272, 480, 4337, 359, 12994, 433, 13058, 973, 272, 871, 4726, 5286, 1795, 272, 253, 9666, 11173, 272, 248, 542, 16, 56, 3252, 1046, 270, 340, 5286, 1795, 272, 871, 27808, 276, 253, 9666, 11173, 255, 16774, 253, 12681, 1795, 1858, 271, 276, 2643, 9666, 11173, 255, 505, 461, 24688, 3304, 270, 3522, 255, 344, 3837, 1461, 272, 973, 9666, 4444, 13960, 285, 1430, 7562, 542, 7670, 878, 3276, 314, 340, 542, 16, 56, 3252, 1046, 272, 253, 4337, 2845, 248, 3923, 272, 9666, 11173, 973, 5991, 2389, 248, 19288, 3837, 8385, 799, 276, 248, 20648, 1402, 270, 1130, 8140, 255, 4789, 3837, 1461, 13960, 285, 248, 902, 542, 7670, 878, 3783, 4469, 270, 34, 3923, 272, 3555, 1934, 31180, 5286, 389, 10310, 3358, 831, 253, 9666, 11173, 255, 11642, 8870, 973, 9666, 4444, 285, 1447, 253, 24684, 272, 1557, 276, 253, 612, 9666, 4444, 270, 600, 2829, 335, 542, 16, 56, 4831, 276, 17926, 26756, 392, 5544, 9202, 270, 2080, 1275, 272, 253, 5286, 389, 10310, 272, 973, 272, 253, 3358, 313, 1355, 1588, 4245, 285, 253, 8693, 272, 253, 612, 2785, 270, 52, 13077, 272, 253, 3837, 8385, 272, 973, 9666, 4444, 409, 326, 5988, 433, 12228, 253, 612, 1275, 272, 253, 5286, 389, 10310, 272, 973, 272, 253, 3358, 285, 248, 1354, 2285, 1515, 255, 332, 2258, 12228, 253, 2300, 272, 973, 272, 253, 3358, 285, 902, 3783, 3194, 314, 8727, 270, 18, 313, 248, 4444, 25883, 272, 248, 542, 7670, 3252, 1046, 314, 8727, 270, 19, 313, 248, 4444, 25883, 272, 248, 542, 16, 56, 3252, 1046, 3675, 285, 253, 4337, 255, 1758, 253, 12228, 2285, 3194, 289, 3783, 3194, 314, 8727, 270, 20, 313, 248, 21560, 6362, 4444, 25883, 272, 253, 1112, 542, 16, 56, 3252, 1046, 363, 2282, 276, 6588, 270, 19, 314, 8727, 270, 21, 313, 248, 4444, 25883, 272, 277, 4690, 8620, 272, 253, 542, 16, 56, 3252, 1046, 272, 6588, 270, 19, 314, 340, 542, 16, 56, 3252, 1046, 272, 253, 4337, 313, 2282, 276, 6588, 270, 19, 270, 340, 3252, 1046, 2845, 248, 3923, 272, 3555, 1934, 31180, 5286, 389, 10310, 3358, 64, 1298, 289, 64, 1058, 255, 66, 1724, 1697, 272, 579, 3556, 270, 2789, 386, 389, 24345, 64, 1551, 289, 64, 1499, 359, 657, 272, 253, 579, 3556, 3358, 3068, 255, 4047, 7831, 253, 777, 335, 3232, 5286, 389, 3351, 270, 600, 808, 862, 1324, 3252, 1046, 2091, 270, 673, 313, 652, 1724, 341, 5286, 389, 10310, 2785, 21999, 2829, 335, 8047, 253, 10310, 3837, 1305, 253, 4674, 6211, 272, 21999, 270, 340, 10310, 3837, 313, 21044, 433, 15513, 7652, 30215, 272, 253, 10310, 12572, 270, 3431, 255, 3106, 272, 253, 4674, 6709, 10331, 272, 5286, 389, 10310, 3358, 255, 10660, 1208, 272, 253, 542, 7670, 878, 672, 326, 16690, 1305, 6961, 285, 1418, 335, 4674, 1889, 276, 253, 5352, 1705, 285, 326, 11089, 721, 253, 3252, 314, 340, 4337, 558, 326, 19552, 276, 248, 3057, 272, 3253, 270, 3888, 255, 16471, 2341, 285, 6588, 270, 19, 255, 8854, 272, 253, 542, 16, 56, 3252, 1046, 276, 542, 7670, 4951, 558, 326, 3173, 270, 7539, 255, 1229, 3906, 285, 6588, 270, 20, 255, 8854, 272, 253, 3252, 1046, 276, 542, 16, 56, 4951, 558, 326, 3173, 270, 5426, 255, 260, 4690, 8620, 272, 253, 4337, 558, 326, 19552, 366, 3906, 285, 6588, 270, 21, 314, 31747, 285, 6588, 270, 19, 255, 383, 386, 389, 10310, 2785, 64, 1058, 289, 5286, 389, 10310, 64, 1551, 831, 248, 9666, 4444, 2011, 276, 4279, 285, 341, 3173, 366, 3121, 285, 6588, 270, 18, 270, 340, 4043, 18173, 579, 3556, 313, 8452, 366, 248, 4043, 17127, 289, 248, 1730, 3837, 579, 3556, 270, 21555, 1194, 987, 247, 313, 1657, 448, 5286, 389, 10310, 64, 1499, 270, 340, 2300, 272, 5286, 389, 10310, 2785, 64, 1058, 313, 4245, 285, 3783, 1515, 64, 1626, 270, 2789, 386, 389, 10310, 2785, 64, 1298, 289, 5286, 389, 10310, 64, 1499, 8075, 15711, 6667, 341, 10725, 987, 247, 313, 1657, 448, 5286, 389, 10310, 64, 1551, 289, 253, 2300, 272, 5286, 389, 10310, 2785, 64, 1298, 313, 4245, 285, 3783, 1515, 64, 1212, 270, 14381, 1515, 64, 1456, 15447, 363, 248, 1354, 1046, 1809, 4800, 285, 1213, 5286, 389, 24345, 64, 1551, 289, 64, 1499, 314, 5397, 542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 11349, 414, 21088, 8487, 24030, 356, 329, 3212, 992, 15, 4056, 24030, 24, 33, 72, 19726, 3411, 680, 960, 34, 2007, 16698, 22220, 276, 10406, 356, 19, 15, 24, 680, 960, 4861, 2286, 7099, 861, 785, 474, 5241, 22230, 186, 5241, 743, 1201, 90, 186, 2236, 24233, 82, 989, 5797, 474, 2236, 3750, 989, 448, 260, 19, 13, 5159, 13, 3125, 13, 5248, 186, 25636, 580, 22, 186, 21247, 580, 1204, 186, 19457, 12541, 286, 580, 5159, 16, 22, 186, 17689, 37, 932, 25452, 580, 19, 186, 4, 249, 24858, 1295, 186, 1787, 423, 24858, 5233, 255, 67, 1656, 339, 17689, 37, 932, 580, 252, 260, 19, 5233, 60, 18, 31458, 67, 60, 18, 11909, 66, 60, 17, 31458, 67, 60, 17, 7500, 339, 2194, 19363, 67, 60, 17, 22997, 66, 60, 17, 13773, 19036, 19, 13975, 67, 60, 18, 22997, 66, 60, 18, 13773, 19036, 19, 10, 2433, 18, 16, 19, 1241, 17689, 37, 932, 25452, 3773, 8235, 9, 17689, 37, 932, 11, 19, 11, 25636, 16, 5159, 8253, 1787, 4582, 282, 9, 6250, 255, 2853, 265, 255, 5859, 1656, 339, 1380, 3940, 3929, 2853, 265, 2139, 339, 1380, 1423, 3929, 5859, 2139, 339, 13458, 1031, 580, 2717, 4023, 339, 28685, 453, 9719, 3420, 4, 1901, 6383, 75, 553, 10706, 255, 1639, 253, 1275, 536, 558, 2597, 632, 272, 713, 276, 1460, 285, 5096, 253, 2152, 186, 339, 72, 18888, 9719, 5859, 414, 17, 7454, 339, 71, 18888, 9719, 5859, 414, 249, 24858, 9, 5859, 255, 2853, 265, 10, 7454, 339, 80, 28435, 32124, 339, 249, 1532, 2417, 9, 80, 28435, 5591, 71, 18888, 60, 5859, 4048, 5859, 8338, 474, 339, 2003, 256, 28435, 414, 4, 7535, 2658, 253, 24233, 313, 461, 8141, 474, 491, 6047, 580, 249, 1532, 392, 9, 80, 28435, 28914, 18, 5504, 491, 347, 356, 8235, 9, 6047, 60, 17, 31458, 2853, 265, 60, 17, 20970, 29, 21247, 289, 2290, 9, 6047, 60, 18, 31458, 2853, 265, 60, 18, 20970, 29, 21247, 3321, 4, 581, 6989, 2876, 1012, 285, 253, 7138, 1120, 255, 549, 536, 476, 3388, 248, 4311, 489, 1122, 1684, 255, 1662, 313, 248, 3084, 1120, 186, 1379, 4406, 11548, 1379, 2003, 1557, 276, 4641, 453, 414, 4, 17043, 253, 28021, 186, 1722, 4406, 6009, 9, 6047, 680, 1722, 6047, 580, 28685, 453, 60, 6047, 2228, 1379, 4406, 6009, 9, 5859, 680, 1379, 2194, 878, 4450, 6398, 474, 491, 13458, 1031, 14927, 9, 6047, 680, 491, 3831, 1634, 17097, 1250, 18935, 12380, 491, 15595, 5515, 8698, 6047, 60, 19, 2053, 10247, 19, 11, 5159, 8338, 1845, 5159, 18392, 5920, 406, 1186, 11002, 4450, 6047, 4276, 186, 491, 25757, 67, 626, 1806, 60, 2228, 491, 28038, 37, 932, 19930, 5515, 8698, 9, 6047, 60, 19, 15012, 19457, 12541, 286, 406, 10247, 19, 11, 5159, 8338, 1845, 5159, 18392, 5920, 406, 1186, 11002, 4450, 27714, 4276, 276, 253, 2451, 3559, 186, 491, 28038, 37, 932, 46, 317, 398, 5515, 8698, 9, 6047, 60, 19, 22997, 19457, 12541, 286, 406, 10247, 19, 3773, 5159, 8338, 1845, 5159, 18392, 5920, 406, 1186, 11002, 4450, 27714, 4276, 276, 253, 2962, 3559, 186, 185, 4, 17097, 253, 18935, 433, 253, 1575, 7084, 186, 491, 347, 356, 15595, 29566, 2950, 11, 17, 289, 2308, 29, 2791, 15, 6194, 1656, 1379, 25757, 67, 626, 4108, 9, 18, 13, 17, 30270, 19, 13, 18, 23100, 491, 347, 356, 15595, 29566, 2791, 15, 6189, 289, 2308, 29, 2950, 1656, 1379, 25757, 67, 626, 4108, 9, 19, 13, 18, 30270, 18, 13, 18, 23100, 491, 6265, 356, 15595, 29566, 2950, 11, 18, 289, 2308, 29, 7214, 15, 5744, 1656, 1379, 25757, 67, 626, 4108, 9, 18, 255, 18, 11526, 18, 255, 19, 23100, 491, 347, 356, 15595, 29566, 7214, 15, 5744, 289, 2308, 29, 2857, 1656, 1379, 25757, 67, 626, 4108, 9, 18, 255, 19, 30270, 17, 13, 18, 23100, 491, 6265, 356, 15595, 29566, 2950, 11, 19, 289, 2308, 29, 14939, 15, 6194, 1656, 1379, 25757, 67, 626, 4108, 9, 17, 255, 18, 823, 8179, 18, 255, 19, 23100, 491, 6265, 356, 15595, 29566, 14939, 15, 6194, 289, 2308, 29, 14882, 1656, 1379, 25757, 67, 626, 4108, 8179, 18, 255, 19, 823, 8179, 18, 255, 18, 23100, 491, 6265, 356, 15595, 29566, 14882, 289, 2308, 29, 18218, 15, 5744, 1656, 1379, 25757, 67, 626, 4108, 8179, 18, 255, 18, 823, 8179, 19, 255, 18, 23100, 491, 6265, 356, 15595, 29566, 18218, 15, 5744, 289, 2308, 29, 5920, 1656, 1379, 25757, 67, 626, 4108, 8179, 19, 255, 18, 823, 8179, 18, 255, 17, 23100, 491, 6265, 356, 15595, 29566, 5920, 289, 2308, 29, 19574, 15, 6194, 1656, 1379, 25757, 67, 626, 4108, 8179, 18, 255, 17, 823, 8179, 19, 9346, 18, 23100, 491, 6265, 356, 15595, 29566, 19574, 15, 6194, 289, 2308, 29, 18974, 1656, 1379, 25757, 67, 626, 4108, 8179, 19, 9346, 18, 823, 8179, 18, 9346, 18, 23100, 491, 6265, 356, 15595, 29566, 18974, 289, 2308, 29, 27836, 15, 5744, 1656, 1379, 25757, 67, 626, 4108, 8179, 18, 9346, 18, 823, 8179, 18, 9346, 19, 23100, 491, 6265, 356, 15595, 29566, 27836, 15, 5744, 289, 2308, 29, 18594, 1656, 1379, 25757, 67, 626, 4108, 8179, 18, 9346, 19, 11526, 17, 9346, 18, 23100, 491, 6265, 356, 15595, 29566, 18594, 289, 2308, 29, 3019, 23, 15, 6194, 1656, 1379, 25757, 67, 626, 4108, 9, 17, 9346, 18, 11526, 18, 9346, 19, 23100, 491, 6265, 356, 15595, 29566, 3019, 23, 15, 6194, 289, 2308, 29, 23455, 22, 1656, 1379, 25757, 67, 626, 4108, 9, 18, 9346, 19, 11526, 18, 9346, 18, 23100, 491, 6265, 356, 15595, 29566, 27455, 289, 2308, 29, 18848, 15, 5744, 1656, 1379, 25757, 67, 626, 4108, 9, 18, 9346, 18, 11526, 19, 9346, 18, 23100, 491, 6265, 356, 15595, 29566, 18848, 15, 5744, 289, 2308, 29, 11002, 1656, 1379, 25757, 67, 626, 4108, 9, 19, 9346, 18, 11526, 18, 255, 17, 23100, 491, 475, 2062, 255, 75, 276, 18935, 578, 1379, 262, 6549, 580, 17, 186, 1379, 5869, 580, 17, 186, 4, 7290, 10856, 10624, 1055, 4276, 255, 549, 536, 8434, 480, 2035, 255, 1229, 787, 319, 86, 1295, 186, 1379, 347, 19363, 6047, 60, 19, 2053, 1186, 19, 11, 5159, 7635, 9, 252, 260, 19, 24468, 13, 74, 406, 1186, 19, 11, 5159, 10, 31, 17, 3321, 4, 3448, 319, 86, 356, 2750, 730, 64, 11002, 680, 1722, 347, 356, 6047, 60, 19, 22997, 19457, 12541, 286, 2870, 1926, 18, 11, 5159, 6382, 4, 3448, 319, 86, 186, 5272, 25757, 4794, 580, 6047, 60, 17, 15012, 74, 255, 6047, 60, 18, 15012, 75, 255, 6047, 60, 19, 22997, 19457, 12541, 286, 1241, 19, 11, 5159, 4450, 89, 255, 90, 255, 3307, 186, 1722, 4312, 578, 5272, 25757, 4794, 580, 6047, 60, 17, 15012, 74, 255, 6047, 60, 18, 15012, 75, 255, 6047, 60, 19, 22997, 19457, 12541, 286, 186, 1379, 4312, 578, 1722, 347, 356, 6047, 60, 19, 15012, 19457, 12541, 286, 4386, 5159, 6382, 4, 3448, 319, 86, 186, 5272, 25757, 4794, 580, 6047, 60, 17, 15012, 74, 255, 6047, 60, 18, 15012, 75, 255, 6047, 60, 19, 15012, 19457, 12541, 286, 956, 19, 11, 5159, 186, 1722, 4312, 578, 5272, 25757, 4794, 580, 6047, 60, 17, 15012, 74, 255, 6047, 60, 18, 15012, 75, 255, 6047, 60, 19, 15012, 19457, 12541, 286, 186, 1379, 85, 290, 729, 328, 5694, 580, 72, 18888, 60, 6047, 15012, 249, 24858, 9, 6047, 255, 25757, 4794, 30527, 23434, 366, 253, 423, 24858, 1295, 186, 1379, 347, 64, 17, 11514, 25757, 4794, 60, 17, 31704, 6250, 27176, 60, 17, 12157, 1722, 347, 64, 17, 11514, 25757, 4794, 60, 18, 31704, 6250, 27176, 60, 18, 12157, 5272, 11454, 580, 17, 15, 22, 4450, 60, 78, 2228, 5272, 8436, 580, 17, 15, 2947, 288, 4, 60, 78, 2228, 5272, 5606, 16858, 580, 570, 10724, 1951, 2735, 17, 15, 4941, 680, 5272, 5606, 56, 4677, 580, 570, 9, 8436, 2735, 17, 15, 4941, 680, 5272, 475, 2062, 276, 1684, 8179, 5606, 16858, 255, 18, 1656, 10337, 475, 678, 276, 1684, 9, 8179, 5606, 56, 4677, 2735, 19, 31199, 5591, 5606, 56, 4677, 2735, 19, 6622, 18, 1656, 17426, 347, 356, 74, 22261, 17, 375, 678, 22261, 5606, 56, 4677, 16, 19, 375, 2062, 22261, 14, 5606, 16858, 375, 678, 3046, 14, 5606, 56, 4677, 16, 19, 1656, 9144, 32454, 580, 25757, 4794, 60, 19, 2053, 4, 344, 3913, 2035, 272, 253, 10856, 186, 9144, 5869, 30, 5869, 12, 18, 186, 9144, 347, 15495, 9, 6250, 27110, 7830, 3773, 3125, 7592, 11885, 7635, 75, 3773, 5248, 7592, 11885, 4155, 1041, 570, 9, 25757, 4794, 60, 17, 20970, 5031, 9, 570, 7830, 3773, 5248, 7592, 11885, 6622, 75, 3773, 3125, 7592, 11885, 4155, 10, 1041, 570, 9, 25757, 4794, 60, 18, 62, 18609, 1945, 18, 14104, 24886, 262, 6549, 580, 18, 186, 24886, 6398, 186, 17426, 347, 313, 6549, 3046, 18, 578, 9144, 6398, 186, 10337, 347, 313, 6549, 3046, 18, 578, 17426, 16498, 186, 1722, 4312, 578, 5272, 960, 6250, 3869, 342, 7821, 186, 5272, 16498, 186, 1379, 4312, 578, 29790, 6250, 3869, 1422, 7821, 186, 1722, 16498, 186, 1379, 347, 10856, 276, 2718, 1031, 289, 19850, 729, 328, 5694, 15357, 72, 18888, 9639, 9, 25757, 4794, 255, 17, 1656, 1722, 16498, 186, 4, 34, 2007, 7410, 279, 6384, 255, 1211, 32405, 2381, 7426, 255, 2700, 186, 1379, 347, 19850, 729, 328, 5694, 4613, 72, 18888, 9639, 9, 25757, 4794, 255, 17, 406, 263, 10856, 461, 276, 1726, 74, 60, 18, 2053, 475, 2062, 276, 256, 28435, 12157, 1722, 28685, 453, 60, 25757, 4794, 5452, 6047, 186, 1722, 72, 18888, 60, 25757, 4794, 5452, 85, 290, 729, 328, 5694, 186, 1722, 71, 18888, 60, 25757, 4794, 5452, 85, 290, 729, 328, 5694, 1241, 249, 24858, 9, 25757, 4794, 255, 2853, 265, 680, 1722, 347, 500, 9, 6250, 27110, 9, 25757, 4794, 60, 17, 20970, 5031, 570, 9, 25757, 4794, 60, 18, 62, 18609, 10, 2, 30, 18, 578, 5272, 249, 1532, 2417, 9, 80, 28435, 5591, 71, 18888, 60, 25757, 4794, 4048, 25757, 4794, 9936, 339, 2194, 12558, 6106, 13222, 2467, 313, 277, 1123, 272, 1018, 1249, 382, 2853, 366, 248, 22230, 4771, 1270, 3060, 567, 282, 9, 6250, 255, 5859, 255, 21206, 1405, 680, 3060, 567, 282, 1295, 7767, 248, 1567, 272, 2436, 356, 12496, 408, 2152, 1613, 79, 11704, 580, 2668, 7402, 24770, 9373, 186, 339, 60, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 16519, 339, 60, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 17, 255, 18, 16519, 339, 60, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 16519, 339, 60, 18, 255, 17, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 16519, 339, 60, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 16519, 339, 60, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 17, 255, 18, 16519, 339, 60, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 16519, 339, 60, 18, 255, 17, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 16519, 339, 60, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 16519, 339, 60, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 18, 255, 17, 255, 18, 16519, 339, 60, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 255, 17, 62, 7500, 491, 25757, 67, 626, 1806 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 11892, 20966, 578, 32329, 4861, 1879, 248, 1893, 29652, 255, 5577, 48, 6138, 289, 10514, 2891, 335, 248, 1829, 3894, 360, 1168, 1894, 4383, 186, 32329, 4084, 867, 8154, 4861, 1985, 585, 812, 696, 4169, 360, 724, 345, 448, 253, 720, 272, 253, 3894, 255, 549, 341, 532, 672, 1200, 186, 32329, 344, 2902, 289, 6052, 725, 253, 10514, 2891, 285, 341, 356, 676, 5352, 406, 14076, 314, 960, 11289, 32329, 3403, 3941, 414, 7232, 248, 3012, 1628, 26696, 1481, 3234, 356, 5885, 272, 5694, 3325, 914, 406, 3049, 253, 18578, 31432, 1247, 2966, 276, 1247, 314, 32329, 4727, 414, 51, 16348, 480, 2703, 15352, 356, 347, 341, 1147, 461, 5245, 6488, 680, 32329, 11647, 538, 932, 445, 414, 18646, 64, 22, 255, 993, 25, 186, 11289, 32329, 15632, 1098, 414, 6183, 77, 186, 11289, 32329, 5466, 6003, 1942, 960, 11678, 268, 186, 2236, 3540, 989, 5797, 6106, 960, 7574, 4438, 453, 608, 264, 29403, 186, 3934, 18578, 31432, 578, 339, 1787, 3060, 6051, 7302, 988, 255, 84, 1227, 1656, 491, 988, 5799, 1227, 580, 84, 1227, 186, 491, 988, 26360, 580, 18, 474, 339, 1787, 5517, 3588, 1656, 491, 988, 26360, 580, 6440, 8627, 9, 18, 255, 988, 5799, 1227, 1241, 18, 680, 491, 2194, 2095, 26360, 474, 339, 1787, 1012, 15756, 3588, 1656, 491, 2194, 2095, 26360, 474, 339, 1787, 1031, 15756, 3588, 255, 5616, 1656, 491, 988, 26360, 580, 5616, 6106, 960, 5324, 13328, 2901, 2487, 30365, 10293, 95, 186, 960, 51, 319, 1954, 973, 18626, 186, 31432, 18, 580, 677, 31432, 9, 23, 680, 31432, 18, 15, 2225, 10079, 31432, 19, 580, 677, 31432, 9, 23, 680, 31432, 19, 15, 2225, 10079, 31432, 20, 580, 677, 31432, 9, 23, 680, 31432, 20, 15, 2225, 10079, 31432, 21, 580, 677, 31432, 9, 23, 680, 31432, 21, 15, 2225, 10079, 31432, 22, 580, 677, 31432, 9, 23, 680, 31432, 22, 15, 2225, 10079, 960, 5397, 3540, 953, 250, 2225, 84, 2139, 31432, 89, 18, 580, 677, 31432, 9, 23, 680, 31432, 89, 18, 15, 2225, 10079, 31432, 89, 19, 580, 677, 31432, 9, 23, 680, 31432, 89, 19, 15, 2225, 10079, 31432, 89, 20, 580, 677, 31432, 9, 23, 680, 31432, 89, 20, 15, 2225, 4023, 960, 340, 6285, 620, 64, 20, 4173, 22243, 186, 2225, 84, 580, 20, 6106, 960, 5759, 1546, 1295, 285, 1223, 18626, 2173, 186, 1787, 1557, 37, 625, 8748, 339, 1380, 2265, 69, 625, 64, 18, 1461, 313, 31508, 1681, 18, 680, 339, 1380, 2265, 69, 625, 64, 19, 1461, 313, 31508, 1681, 19, 680, 339, 1380, 2265, 69, 625, 64, 20, 1461, 313, 31508, 1681, 20, 680, 339, 1380, 2265, 69, 625, 64, 21, 1461, 313, 31508, 1681, 21, 680, 339, 1380, 2265, 69, 625, 64, 22, 1461, 313, 31508, 1681, 22, 8253, 960, 10007, 186, 1380, 2265, 18539, 285, 1628, 2101, 21009, 1481, 255, 1129, 476, 64, 20, 4173, 22243, 289, 360, 672, 300, 2225, 650, 5773, 448, 248, 720, 270, 2467, 313, 486, 3634, 5517, 9340, 1613, 960, 53, 12548, 18626, 2173, 276, 4283, 186, 1681, 18, 580, 31432, 18, 9639, 15756, 4023, 1681, 19, 580, 31432, 19, 9639, 15756, 4023, 1681, 20, 580, 31432, 20, 9639, 15756, 4023, 1681, 21, 580, 31432, 21, 9639, 15756, 4023, 1681, 22, 580, 31432, 22, 9639, 15756, 4023, 960, 1380, 7592, 589, 89, 18, 9639, 15756, 14395, 960, 20, 953, 250, 2225, 1045, 9485, 186, 1681, 89, 18, 580, 31432, 89, 18, 9639, 15756, 4023, 1681, 89, 19, 580, 31432, 89, 19, 9639, 15756, 4023, 1681, 89, 20, 580, 31432, 89, 20, 9639, 15756, 4023, 960, 18018, 18626, 186, 6047, 37, 625, 10079, 960, 15080, 5116, 186, 14400, 580, 18, 186, 960, 23529, 186, 960, 1380, 2265, 250, 2225, 64, 18, 313, 2881, 31432, 89, 18, 9639, 15756, 14395, 960, 1380, 2265, 250, 2225, 64, 19, 313, 2881, 31432, 89, 19, 9639, 15756, 14395, 960, 2447, 253, 2440, 620, 7443, 2299, 186, 2003, 2199, 313, 461, 64, 21, 578, 6174, 1130, 756, 861, 253, 2440, 916, 844, 1927, 375, 300, 2225, 248, 5773, 186, 339, 2225, 10760, 580, 4165, 2265, 15438, 360, 844, 285, 300, 2225, 248, 5773, 911, 90, 15599, 27, 4213, 6174, 859, 640, 3801, 285, 1927, 556, 18626, 186, 339, 347, 5517, 10760, 313, 953, 79, 12702, 8352, 6644, 276, 253, 1705, 285, 248, 1402, 363, 861, 632, 7443, 359, 806, 186, 491, 14400, 580, 21, 186, 6174, 859, 253, 2440, 916, 844, 285, 300, 2225, 248, 5773, 7694, 253, 2199, 313, 64, 18, 186, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 2199, 313, 64, 18, 578, 8352, 1130, 756, 2440, 19045, 3062, 41, 5773, 640, 916, 844, 285, 300, 2225, 186, 491, 250, 2225, 580, 4165, 2265, 6131, 5773, 916, 360, 844, 285, 300, 2225, 911, 18, 16, 19, 16, 20, 16, 21, 16, 22, 27, 4213, 6174, 859, 2440, 8102, 285, 300, 2225, 5773, 64, 18, 7517, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 300, 2225, 313, 953, 18, 1045, 332, 2199, 313, 64, 18, 578, 8352, 6644, 5773, 64, 18, 1461, 285, 253, 965, 953, 250, 2225, 2139, 491, 1681, 18, 580, 1681, 89, 18, 186, 8352, 19940, 18626, 1253, 300, 2225, 186, 491, 6047, 37, 625, 4023, 8352, 2848, 64, 18, 285, 7443, 186, 491, 14400, 580, 14400, 1241, 18, 186, 8352, 2789, 23442, 4283, 366, 1422, 186, 491, 2225, 10760, 9187, 89, 2139, 491, 250, 2225, 9187, 89, 2139, 6174, 859, 2440, 8102, 285, 300, 2225, 5773, 64, 19, 7517, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 300, 2225, 313, 953, 19, 1045, 332, 2199, 313, 64, 18, 578, 8352, 6644, 5773, 288, 5616, 285, 253, 965, 953, 250, 2225, 2139, 491, 1681, 19, 580, 1681, 89, 18, 186, 8352, 19940, 632, 253, 18626, 186, 491, 6047, 37, 625, 4023, 8352, 2848, 64, 18, 285, 253, 2199, 5116, 186, 491, 14400, 580, 14400, 1241, 18, 186, 8352, 31078, 16167, 186, 491, 2225, 10760, 9187, 89, 2139, 491, 250, 2225, 9187, 89, 2139, 6174, 2700, 186, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 300, 2225, 313, 953, 20, 1045, 332, 2199, 313, 64, 18, 578, 491, 1681, 20, 580, 1681, 89, 18, 186, 491, 6047, 37, 625, 4023, 491, 14400, 580, 14400, 1241, 18, 186, 491, 2225, 10760, 9187, 89, 2139, 491, 250, 2225, 9187, 89, 2139, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 300, 2225, 313, 953, 21, 1045, 332, 2199, 313, 64, 18, 578, 491, 1681, 21, 580, 1681, 89, 18, 186, 491, 6047, 37, 625, 4023, 491, 14400, 580, 14400, 1241, 18, 186, 491, 2225, 10760, 9187, 89, 2139, 491, 250, 2225, 9187, 89, 2139, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 300, 2225, 313, 953, 22, 1045, 332, 2199, 313, 64, 18, 578, 491, 1681, 22, 580, 1681, 89, 18, 186, 491, 6047, 37, 625, 4023, 491, 14400, 580, 14400, 1241, 18, 186, 491, 2225, 10760, 9187, 89, 2139, 491, 250, 2225, 9187, 89, 2139, 6174, 53, 5811, 47, 64, 19, 186, 339, 347, 2199, 313, 64, 19, 578, 491, 2225, 10760, 580, 4165, 2265, 15438, 360, 844, 285, 300, 2225, 248, 5773, 911, 90, 15599, 27, 4213, 491, 347, 5517, 10760, 313, 953, 79, 12702, 1379, 14400, 580, 21, 186, 491, 347, 5517, 10760, 313, 953, 90, 12702, 1379, 250, 2225, 580, 4165, 2265, 6131, 18626, 916, 360, 844, 285, 300, 2225, 911, 18, 16, 19, 16, 20, 16, 21, 16, 22, 27, 4213, 8352, 5132, 5783, 2199, 4043, 186, 8352, 344, 1387, 3127, 272, 861, 84, 313, 1199, 2011, 285, 253, 2121, 186, 491, 347, 5517, 10760, 313, 953, 90, 1045, 332, 2199, 313, 64, 19, 578, 1379, 347, 300, 2225, 313, 953, 18, 12702, 29790, 13969, 253, 7138, 5773, 285, 253, 1508, 953, 250, 2225, 2139, 1722, 1681, 18, 580, 1681, 89, 19, 186, 1722, 6047, 37, 625, 4023, 1722, 14400, 580, 14400, 1241, 18, 186, 1722, 2225, 10760, 9187, 89, 2139, 1722, 250, 2225, 9187, 89, 2139, 1379, 347, 300, 2225, 313, 953, 19, 12702, 1722, 1681, 19, 580, 1681, 89, 19, 186, 1722, 6047, 37, 625, 4023, 1722, 14400, 580, 14400, 1241, 18, 186, 1722, 2225, 10760, 9187, 89, 2139, 1722, 250, 2225, 9187, 89, 2139, 1379, 347, 300, 2225, 313, 953, 20, 12702, 1722, 1681, 20, 580, 1681, 89, 19, 186, 1722, 6047, 37, 625, 4023, 1722, 14400, 580, 14400, 1241, 18, 186, 1379, 347, 300, 2225, 313, 953, 21, 12702, 1722, 1681, 21, 580, 1681, 89, 19, 186, 1722, 6047, 37, 625, 4023, 1722, 14400, 580, 14400, 1241, 18, 186, 1722, 2225, 10760, 9187, 89, 2139, 1722, 250, 2225, 9187, 89, 2139, 1379, 347, 300, 2225, 313, 953, 22, 12702, 1722, 1681, 22, 580, 1681, 89, 19, 186, 1722, 6047, 37, 625, 4023, 1722, 14400, 580, 14400, 1241, 18, 186, 1722, 2225, 10760, 9187, 89, 2139, 1722, 250, 2225, 9187, 89, 2139, 6174, 53, 5811, 47, 64, 20, 356, 5791, 2199, 680, 339, 347, 2199, 313, 64, 20, 578, 491, 2225, 10760, 580, 4165, 2265, 15438, 360, 844, 285, 300, 2225, 248, 5773, 911, 90, 15599, 27, 4213, 491, 347, 5517, 10760, 313, 953, 90, 12702, 1379, 250, 2225, 580, 4165, 2265, 6131, 18626, 916, 360, 844, 285, 300, 2225, 911, 18, 16, 19, 16, 20, 16, 21, 16, 22, 27, 4213, 6174, 5132, 5783, 2199, 4043, 186, 6174, 344, 1387, 3127, 272, 861, 84, 313, 1199, 2011, 285, 253, 2121, 186, 339, 347, 5517, 10760, 313, 953, 90, 1045, 332, 2199, 313, 64, 20, 578, 491, 347, 5517, 10760, 313, 953, 79, 12702, 1379, 14400, 580, 21, 186, 491, 347, 300, 2225, 313, 953, 18, 1045, 332, 2199, 313, 64, 20, 578, 16546, 13969, 253, 7138, 5773, 285, 253, 3704, 953, 250, 2225, 2139, 1379, 1681, 18, 580, 1681, 89, 20, 186, 1379, 6047, 37, 625, 4023, 1379, 14400, 580, 14400, 1241, 18, 186, 1379, 2225, 10760, 9187, 89, 2139, 1379, 250, 2225, 9187, 89, 2139, 491, 347, 300, 2225, 313, 953, 19, 1045, 332, 2199, 313, 64, 20, 578, 1379, 1681, 19, 580, 1681, 89, 20, 186, 1379, 6047, 37, 625, 4023, 1379, 14400, 580, 14400, 1241, 18, 186, 1379, 2225, 10760, 9187, 89, 2139, 1379, 250, 2225, 9187, 89, 2139, 491, 347, 300, 2225, 313, 953, 20, 1045, 332, 2199, 313, 64, 20, 578, 1379, 1681, 20, 580, 1681, 89, 20, 186, 1379, 6047, 37, 625, 4023, 1379, 14400, 580, 14400, 1241, 18, 186, 491, 347, 300, 2225, 313, 953, 21, 1045, 332, 2199, 313, 64, 20, 578, 1379, 1681, 21, 580, 1681, 89, 20, 186, 1379, 6047, 37, 625, 4023, 1379, 14400, 580, 14400, 1241, 18, 186, 1379, 2225, 10760, 9187, 89, 2139, 1379, 250, 2225, 9187, 89, 2139, 491, 347, 300, 2225, 313, 953, 22, 1045, 332, 2199, 313, 64, 20, 578, 1379, 1681, 22, 580, 1681, 89, 20, 186, 1379, 6047, 37, 625, 4023, 1379, 14400, 580, 14400, 1241, 18, 186, 1379, 2225, 10760, 9187, 89, 2139, 1379, 250, 2225, 9187, 89, 2139, 960, 3811, 253, 6285, 1922, 6496, 632, 7443, 186, 2236, 13324, 989, 400, 3460, 474, 960, 13162, 5368, 4951, 276, 248, 1567, 453, 17063, 3343, 14740, 1467, 5350, 3411, 16, 21978, 16, 13662, 16277, 683, 14455, 4945, 7393, 2039, 1311, 6789, 10025, 2748, 386, 186, 347, 2199, 313, 64, 21, 578, 339, 9485, 4108, 1681, 18, 255, 1681, 19, 255, 1681, 20, 255, 1681, 21, 255, 1681, 22, 2228, 339, 25068, 580, 36, 3460, 9, 9485, 680, 339, 1380, 2265, 3403, 18626, 2173, 359, 31508, 9485, 680, 6174, 3797, 84, 253, 905, 8805, 1461, 453, 253, 1567, 272, 23456, 2173, 186, 6174, 859, 253, 2561, 272, 253, 4951, 1567, 313, 64, 19, 341, 1633, 917, 543, 248, 2172, 272, 248, 2505, 4069, 1262, 917, 359, 914, 64, 19, 186, 6174, 11619, 1982, 276, 253, 1214, 272, 64, 22, 270, 859, 253, 4951, 1567, 313, 64, 20, 341, 1633, 917, 543, 248, 1464, 272, 248, 2505, 4069, 375, 871, 186, 6174, 81, 6483, 270, 859, 253, 4951, 6297, 725, 650, 1461, 914, 1232, 917, 543, 248, 1628, 2101, 21009, 1481, 1890, 3106, 632, 64, 22, 2173, 724, 253, 1112, 314, 6174, 3193, 253, 1136, 3194, 2151, 861, 1249, 6884, 23266, 271, 314, 6174, 8520, 186, 6174, 1380, 10241, 1311, 15, 2154, 1354, 14395, 6174, 1380, 12271, 10241, 1311, 15, 2154, 1354, 5785, 3680, 6174, 5213, 2506, 612, 730, 248, 1628, 2101, 21009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21059, 1030, 360, 359, 9439, 5311, 20166, 28131, 289, 13310, 6053, 17094, 28131, 356, 1345, 79, 28131, 406, 1662, 2357, 13184, 4906, 270, 8500, 360, 7588, 285, 1636, 289, 1290, 253, 2965, 255, 29481, 255, 263, 3162, 255, 344, 2357, 289, 4359, 3476, 632, 253, 2555, 1030, 360, 6464, 314, 3888, 255, 581, 558, 1999, 4906, 9865, 20166, 8852, 18880, 289, 800, 19731, 255, 332, 1232, 536, 558, 1939, 345, 253, 2489, 10680, 6053, 17094, 270, 4861, 3937, 2873, 363, 536, 2863, 480, 4161, 314, 1099, 313, 248, 2489, 47, 28131, 879, 34, 2489, 47, 28131, 313, 1509, 725, 272, 3828, 10284, 4444, 15327, 30110, 20166, 1400, 3910, 270, 673, 313, 1575, 285, 4193, 612, 20166, 1400, 3910, 721, 902, 7143, 276, 1460, 285, 2969, 486, 2129, 314, 465, 2326, 255, 344, 20166, 8852, 18880, 4509, 783, 1825, 4091, 270, 1245, 476, 253, 2508, 285, 5286, 1199, 991, 5331, 270, 3737, 255, 1449, 4509, 991, 16159, 2274, 255, 32077, 366, 612, 3185, 314, 3030, 3619, 2096, 360, 939, 867, 366, 2489, 47, 2489, 10680, 613, 264, 17094, 28131, 186, 1132, 359, 705, 1021, 4170, 696, 558, 1418, 360, 285, 3801, 20166, 8852, 18880, 3191, 730, 612, 3910, 270, 1132, 359, 2340, 7494, 2033, 285, 578, 5956, 5333, 2330, 186, 340, 20166, 267, 68, 1723, 359, 3059, 335, 3358, 5333, 775, 5314, 991, 5331, 270, 340, 2260, 10342, 556, 637, 30578, 276, 4604, 285, 612, 2063, 272, 4444, 15327, 696, 672, 3224, 2515, 12423, 640, 359, 5800, 285, 818, 991, 2330, 270, 974, 5331, 363, 991, 363, 64, 13195, 5039, 21529, 255, 1808, 2452, 341, 486, 3358, 558, 1295, 4881, 289, 9566, 314, 15163, 7239, 3162, 186, 600, 313, 253, 2508, 272, 20166, 4444, 15327, 285, 2708, 2833, 270, 5934, 255, 66, 20166, 28131, 3041, 991, 6692, 270, 1099, 480, 1633, 313, 341, 396, 4652, 1825, 5114, 3162, 335, 341, 20166, 4444, 4969, 314, 10591, 12516, 6574, 5016, 21655, 186, 340, 20166, 4444, 4969, 652, 2434, 2452, 272, 248, 1730, 9904, 272, 7239, 7306, 270, 9381, 285, 480, 255, 1449, 9889, 3336, 20722, 363, 248, 943, 272, 2330, 17576, 314, 3258, 1915, 255, 2446, 2576, 693, 272, 259, 31580, 2500, 696, 2845, 13216, 6053, 17094, 255, 15372, 6262, 16628, 517, 255, 332, 14145, 255, 1662, 2340, 4991, 285, 253, 13190, 272, 9083, 10954, 270, 3522, 255, 1662, 10342, 341, 360, 1012, 1730, 12335, 276, 480, 7239, 7306, 314, 40, 15294, 991, 21087, 2274, 186, 340, 20166, 28131, 21025, 1825, 991, 21087, 2274, 270, 4727, 341, 480, 313, 1199, 1156, 276, 8047, 253, 5949, 2152, 15351, 289, 18173, 270, 3737, 255, 344, 22776, 1400, 696, 313, 1309, 276, 253, 20166, 11173, 3036, 276, 15666, 253, 3612, 2274, 270, 600, 313, 1262, 272, 800, 2508, 285, 3560, 18173, 1309, 345, 800, 3484, 2152, 314, 36, 254, 12137, 15327, 476, 248, 1199, 2379, 28131, 335, 3358, 2552, 775, 253, 7239, 1936, 341, 359, 12042, 15358, 270, 600, 313, 2033, 285, 800, 991, 26497, 314, 10591, 391, 253, 1048, 264, 430, 1770, 272, 400, 254, 12137, 28131, 21452, 186, 3720, 20166, 11173, 255, 1129, 558, 326, 1865, 285, 2587, 253, 966, 272, 3642, 289, 9370, 454, 2635, 270, 600, 32155, 612, 1697, 272, 4444, 15327, 255, 292, 248, 943, 272, 253, 1400, 1697, 785, 270, 673, 652, 620, 248, 2136, 9316, 901, 276, 4604, 285, 612, 11173, 270, 600, 10342, 1319, 7812, 20166, 10284, 4444, 15327, 314, 1099, 359, 253, 16083, 272, 2489, 47, 28131, 879, 340, 15103, 272, 20166, 8852, 18880, 313, 1020, 11659, 2033, 285, 556, 12930, 270, 340, 20166, 8852, 18880, 476, 248, 1730, 22776, 3259, 255, 2251, 5685, 2970, 14196, 255, 3980, 1730, 9597, 38, 255, 332, 556, 7239, 18284, 7859, 359, 991, 270, 1130, 248, 943, 272, 480, 3870, 255, 344, 20166, 28131, 3041, 1021, 3043, 270, 1294, 1540, 578, 34, 20166, 28131, 409, 3703, 991, 29447, 9316, 270, 974, 480, 2338, 20166, 267, 68, 1723, 409, 476, 697, 64, 21, 6615, 4444, 15957, 270, 2056, 480, 255, 264, 3714, 1199, 7577, 20166, 15327, 276, 253, 6961, 272, 253, 3252, 6385, 363, 1020, 363, 20166, 267, 68, 67, 4697, 314, 5934, 255, 344, 3252, 10162, 1309, 276, 902, 8357, 17357, 2624, 1109, 326, 3059, 276, 16697, 289, 3617, 6204, 270, 3737, 255, 1449, 359, 1199, 10681, 285, 10107, 289, 23153, 186, 14905, 27850, 5723, 11401, 9759, 186, 340, 20166, 28131, 313, 3059, 276, 6961, 1388, 307, 6978, 31957, 4969, 270, 3013, 313, 480, 705, 911, 340, 20166, 4969, 375, 20166, 28131, 620, 253, 2508, 285, 2871, 1021, 3351, 345, 253, 4969, 1666, 314, 1099, 480, 23551, 313, 253, 2413, 272, 3358, 341, 359, 596, 12692, 276, 253, 4059, 15742, 255, 247, 4604, 285, 253, 25067, 21, 15327, 314, 340, 5949, 289, 7923, 10162, 335, 253, 1843, 1513, 276, 849, 3263, 3743, 359, 16270, 453, 20166, 11173, 270, 3013, 313, 480, 911, 600, 313, 1262, 272, 253, 13310, 6053, 17094, 341, 620, 1730, 9597, 38, 289, 2031, 7239, 18284, 314, 1099, 359, 253, 25867, 272, 248, 400, 254, 12137, 28131, 879, 11424, 359, 253, 3041, 272, 248, 20166, 28131, 314, 9852, 248, 18964, 3157, 4082, 272, 64, 1212, 27, 18, 255, 66, 20166, 28131, 3041, 248, 2782, 2199, 270, 2056, 480, 255, 1449, 476, 253, 17294, 806, 612, 10284, 4444, 15327, 10313, 775, 25067, 21, 314, 3737, 255, 66, 20166, 28131, 4652, 13159, 632, 253, 2555, 9700, 486, 2785, 558, 476, 5311, 6044, 270, 2056, 3121, 285, 253, 5172, 255, 1662, 28131, 1109, 476, 1215, 650, 3395, 270, 4001, 285, 486, 15064, 255, 264, 1109, 476, 697, 64, 3523, 6044, 314, 9920, 11376, 6023, 289, 3525, 569, 14931, 921, 987, 6023, 186, 34, 20166, 28131, 620, 1750, 4509, 1019, 344, 9793, 17977, 399, 6023, 270, 3737, 255, 344, 2360, 399, 6023, 313, 17977, 289, 9793, 363, 1020, 270, 600, 313, 904, 902, 26158, 396, 453, 253, 25067, 21, 8852, 18880, 341, 476, 556, 2360, 399, 6023, 289, 399, 6023, 5800, 314, 4727, 341, 253, 4092, 2091, 272, 253, 8389, 3957, 64, 1912, 1422, 64, 2055, 270, 2056, 480, 255, 16659, 558, 326, 1865, 285, 6145, 253, 20166, 28131, 276, 1539, 9745, 270, 3737, 255, 1662, 5373, 345, 253, 2785, 314, 1099, 359, 253, 400, 254, 12137, 6942, 1221, 717, 20128, 366, 2235, 1566, 285, 23037, 879, 600, 20166, 8631, 313, 253, 905, 5392, 785, 1400, 276, 253, 2889, 14961, 3743, 2033, 285, 556, 5114, 255, 22981, 255, 332, 6697, 3162, 276, 4604, 285, 5405, 272, 11445, 14842, 31066, 270, 5934, 255, 264, 3041, 991, 2970, 6692, 289, 3870, 289, 313, 1199, 5439, 276, 902, 7939, 2500, 270, 1345, 29047, 8631, 313, 1825, 335, 902, 7143, 289, 5562, 6961, 314, 600, 313, 1750, 20166, 8631, 272, 253, 20166, 267, 68, 1723, 270, 340, 7239, 18284, 272, 4439, 48, 313, 2031, 276, 4604, 285, 4626, 13310, 270, 3737, 255, 264, 313, 3059, 276, 3043, 341, 1267, 991, 7239, 18284, 314, 1345, 47, 313, 1750, 20166, 8631, 341, 620, 871, 1156, 3162, 270, 3888, 255, 262, 800, 991, 7239, 18284, 270, 340, 1508, 4045, 313, 800, 7306, 9904, 270, 1132, 313, 248, 21909, 1868, 649, 11429, 917, 313, 248, 1199, 6027, 3395, 272, 11445, 1309, 345, 253, 2005, 255, 1660, 800, 7239, 18284, 558, 326, 4442, 5346, 270, 1065, 558, 914, 326, 1865, 285, 6145, 253, 2489, 47, 8631, 3629, 1415, 13548, 186, 2056, 632, 253, 4170, 1861, 255, 265, 29047, 14842, 31066, 2714, 276, 248, 1199, 9895, 2495, 335, 253, 1323, 10162, 255, 1815, 5210, 2360, 3582, 18923, 255, 7887, 14961, 255, 332, 2360, 3582, 18923, 4497, 363, 248, 943, 272, 556, 2898, 6021, 2274, 314, 2927, 554, 12417, 596, 1590, 345, 253, 13310, 6053, 17094, 314, 1099, 313, 2489, 79, 28131, 356, 1345, 10680, 613, 264, 17094, 28131, 19879, 1345, 10680, 613, 264, 17094, 28131, 313, 248, 10284, 4444, 4969, 341, 3476, 248, 20648, 1400, 270, 600, 313, 248, 831, 272, 20166, 28131, 2507, 248, 991, 7239, 18284, 272, 697, 64, 12153, 88, 20442, 76, 276, 4069, 366, 2507, 248, 1730, 7306, 9904, 289, 248, 2352, 22776, 314, 1294, 3162, 359, 904, 476, 1509, 253, 13310, 6053, 17094, 28131, 248, 991, 8763, 11173, 3645, 10148, 335, 991, 1557, 289, 991, 5331, 9904, 314, 465, 2326, 255, 344, 13310, 6053, 17094, 359, 1895, 276, 902, 7143, 4857, 3334, 255, 25263, 1074, 255, 332, 6395, 255, 822, 313, 3059, 276, 902, 3043, 270, 1294, 1540, 6347, 3612, 289, 24762, 4563, 255, 22258, 17991, 289, 1323, 4563, 289, 596, 314, 1099, 23037, 20419, 359, 18109, 276, 2489, 10680, 613, 264, 17094, 879, 340, 13310, 6053, 17094, 28131, 3041, 3162, 696, 2434, 396, 248, 1825, 4072, 335, 902, 3043, 270, 959, 409, 11176, 986, 713, 363, 3752, 255, 12731, 255, 332, 2333, 3162, 314, 1132, 359, 783, 2189, 285, 1999, 270, 1294, 1540, 22776, 3259, 255, 69, 3111, 255, 22981, 7306, 255, 16288, 1003, 1120, 255, 738, 20256, 3870, 255, 15867, 76, 26497, 255, 30759, 664, 3870, 255, 24540, 289, 5172, 3171, 2330, 255, 6398, 5454, 1773, 255, 2700, 314, 340, 7239, 7306, 272, 253, 2489, 79, 28131, 620, 248, 5172, 1461, 272, 697, 64, 21, 15, 20, 16584, 4175, 270, 5934, 255, 887, 4092, 1461, 313, 64, 22, 15, 7498, 16584, 4175, 314, 600, 20166, 28131, 313, 1724, 285, 476, 248, 1825, 7239, 18284, 366, 248, 1461, 272, 1591, 64, 12153, 88, 20442, 76, 270, 600, 2434, 396, 248, 1825, 4072, 335, 693, 276, 902, 3043, 314, 13492, 5382, 11158, 289, 17034, 1003, 11158, 186, 340, 2489, 10680, 6053, 17094, 28131, 3041, 248, 16173, 1120, 272, 806, 64, 971, 17, 5039, 21529, 314, 340, 13310, 6053, 17094, 28131, 652, 2421, 248, 1825, 5114, 3837, 270, 600, 313, 2096, 396, 313, 248, 1825, 5114, 1358, 12187, 314, 1345, 10680, 6053, 17094, 620, 277, 2984, 5088, 1461, 272, 1591, 64, 20, 15, 2791, 11459, 335, 973, 1277, 8510, 13099, 270, 3737, 255, 247, 253, 3752, 3162, 255, 344, 1939, 939, 326, 345, 253, 2669, 272, 253, 13310, 6053, 17094, 285, 10601, 9989, 515, 255, 14171, 28767, 255, 8057, 12091, 255, 18269, 255, 332, 596, 314, 340, 2489, 10680, 6053, 17094, 28131, 524, 1158, 10601, 9989, 515, 363, 248, 943, 272, 253, 4534, 272, 800, 11445, 3395, 314, 34, 9916, 9005, 289, 2005, 1922, 6496, 341, 359, 3298, 345, 396, 255, 7617, 962, 84, 253, 2489, 10680, 6053, 17094, 28131, 255, 332, 3036, 276, 12502, 396, 453, 902, 1103, 4822, 389, 1980, 341, 2404, 453, 800, 6868, 314, 465, 2326, 285, 253, 1861, 255, 265, 10680, 6053, 17094, 3036, 276, 11518, 3837, 285, 1199, 991, 5331, 341, 409, 4105, 697, 64, 16490, 17, 5039, 21529, 270, 5213, 2330, 2031, 730, 480, 1109, 1357, 285, 253, 1400, 10200, 12983, 15461, 314, 3737, 13310, 6053, 17094, 313, 1724, 285, 326, 6608, 276, 7191, 375, 3150, 8117, 4573, 11624, 314, 3030, 3619, 19548, 4583, 20770, 10585, 4198, 2489, 10680, 613, 264, 17094, 8852, 18880, 186, 3811, 253, 9622, 313, 7239, 18284, 255, 1660, 253, 905, 3163, 4420, 313, 2489, 10680, 270, 600, 3041, 248, 7239, 18284, 1461, 272, 697, 64, 12153, 88, 20442, 76, 270, 600, 2434, 396, 1825, 335, 1199, 20659, 1716, 314, 3737, 255, 264, 3041, 3162, 844, 991, 4279, 5331, 255, 15049, 22776, 255, 10104, 2091, 272, 8719, 363, 248, 943, 272, 6705, 255, 488, 8264, 15742, 255, 550, 7306, 9904, 255, 332, 596, 314, 2056, 755, 3162, 255, 264, 14819, 253, 25888, 272, 13310, 6053, 17094, 28131, 276, 902, 3043, 289, 4497, 270, 1294, 1540, 25994, 255, 5183, 1323, 27670, 255, 5183, 1934, 5596, 16908, 255, 2700, 314, 1452, 255, 344, 6961, 272, 13310, 6053, 17094, 28131, 313, 2598, 433, 253, 991, 4936, 13310, 2500, 341, 359, 22013, 289, 14436, 270, 3431, 10342, 596, 22545, 272, 253, 1393, 270, 600, 22545, 3157, 29432, 360, 276, 13322, 253, 6148, 289, 7720, 3793, 314, 919, 285, 1039, 277, 2489, 10680, 613, 264, 17094, 28131, 186, 7685, 341, 13310, 6053, 17094, 313, 12165, 363, 277, 23079, 375, 11081, 20166, 7270, 341, 313, 1509, 272, 7095, 9268, 289, 13310, 7356, 270, 340, 13310, 6053, 17094, 6961, 901, 14035, 366, 871, 1266, 2862, 270, 1294, 1540, 578, 355, 10527, 6053, 3939, 312, 186, 355, 6183, 67, 22342, 6053, 3939, 312, 289, 5281, 186, 465, 253, 2413, 272, 13310, 6053, 17094, 28131, 255, 344, 905, 4533, 289, 7494, 785, 1135, 313, 5877, 285, 363, 1580, 6053, 3939, 312, 270, 6183, 67, 22342, 6053, 3939, 312, 289, 5281, 3036, 363, 277, 4420 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23529, 255, 23529, 414, 340, 64, 10365, 554, 272, 17195, 186, 1130, 9279, 599, 425, 1498, 655, 80, 379, 11129, 289, 516, 715, 26314, 398, 249, 76, 356, 1662, 720, 366, 14204, 16509, 538, 955, 67, 25999, 406, 3980, 3241, 277, 4703, 255, 4568, 431, 729, 255, 332, 3973, 1854, 1694, 1662, 720, 345, 3678, 270, 859, 360, 12146, 1197, 1179, 516, 715, 345, 3526, 289, 1055, 11753, 876, 4630, 2429, 1854, 649, 45, 425, 1498, 345, 24513, 8636, 276, 253, 748, 29703, 375, 345, 1247, 2091, 356, 260, 17843, 272, 480, 1854, 916, 476, 12002, 248, 10100, 272, 8935, 345, 4759, 14193, 4650, 263, 556, 4555, 867, 356, 1229, 2165, 406, 251, 19119, 255, 13943, 1716, 255, 332, 1524, 4513, 649, 263, 345, 3239, 2283, 289, 1524, 356, 714, 289, 1868, 823, 5884, 255, 1129, 939, 356, 3980, 2865, 1436, 5554, 892, 1854, 797, 23529, 802, 3573, 452, 25722, 878, 806, 720, 285, 7896, 904, 2063, 272, 4096, 1716, 1836, 1524, 270, 2318, 313, 255, 1449, 1746, 1197, 2781, 2859, 7107, 4096, 2022, 2274, 32, 5931, 822, 313, 1798, 3708, 248, 1949, 285, 326, 881, 26885, 285, 248, 26205, 2428, 255, 772, 359, 1865, 285, 6621, 4759, 9118, 4182, 10677, 289, 3909, 341, 1039, 1603, 15925, 289, 3909, 341, 582, 461, 314, 3300, 480, 6663, 1833, 313, 2901, 1215, 248, 2392, 14, 5490, 254, 285, 1012, 360, 285, 1179, 253, 1854, 255, 42, 1215, 1599, 285, 1039, 871, 2436, 314, 18, 270, 29991, 762, 289, 18772, 276, 902, 11091, 3029, 186, 3888, 255, 344, 1949, 272, 797, 24369, 802, 247, 2356, 1412, 6401, 366, 248, 14299, 8935, 356, 263, 3731, 16072, 255, 2401, 2352, 7426, 406, 7126, 253, 2002, 366, 253, 2579, 2023, 285, 4096, 289, 18772, 775, 253, 6733, 10130, 23936, 4439, 18856, 3905, 356, 47, 6811, 35, 406, 999, 64, 971, 18, 270, 2447, 341, 8935, 313, 14099, 289, 20064, 255, 264, 313, 461, 448, 632, 5708, 341, 396, 313, 3973, 285, 5615, 375, 23913, 375, 23677, 314, 2080, 409, 3224, 10370, 4170, 2096, 253, 1869, 272, 15339, 15260, 3678, 366, 4759, 15925, 2348, 4225, 916, 326, 4560, 315, 902, 276, 5615, 289, 253, 2886, 2900, 270, 465, 253, 2886, 2900, 255, 623, 1560, 10370, 4225, 359, 13992, 2625, 277, 4569, 30028, 289, 11267, 818, 8236, 341, 4688, 596, 9349, 345, 18772, 272, 4225, 335, 1528, 345, 15260, 3642, 1560, 7367, 17429, 1319, 720, 289, 3482, 285, 612, 2711, 272, 23427, 341, 3685, 289, 10837, 1140, 9140, 1156, 270, 5213, 8935, 697, 613, 6811, 35, 276, 253, 2886, 2900, 3965, 620, 285, 2781, 461, 1215, 2572, 4096, 272, 253, 613, 6811, 35, 1697, 2876, 11283, 2274, 345, 253, 6670, 4753, 396, 3957, 255, 772, 652, 2572, 480, 313, 248, 10112, 289, 904, 313, 23077, 271, 276, 11213, 1288, 12920, 314, 1507, 345, 4513, 255, 70, 11912, 255, 332, 18772, 650, 409, 3224, 1200, 341, 253, 2886, 2900, 289, 5615, 359, 448, 1199, 902, 4847, 270, 2164, 253, 20360, 2639, 356, 29973, 1601, 20256, 11667, 3524, 823, 24349, 380, 28197, 476, 285, 1179, 289, 4054, 285, 19354, 1694, 5681, 19322, 366, 8668, 844, 5502, 340, 14003, 18386, 313, 248, 14099, 1123, 272, 277, 3806, 341, 620, 3022, 800, 2456, 10344, 285, 26869, 276, 28123, 285, 800, 2384, 1632, 2930, 465, 248, 3638, 5326, 272, 5372, 2659, 276, 5615, 255, 5014, 64, 2947, 2479, 272, 1288, 891, 1168, 6243, 4936, 64, 23, 1109, 1179, 248, 2167, 2343, 5779, 844, 5502, 39, 17945, 313, 2205, 867, 2930, 340, 12809, 2020, 5326, 5190, 341, 276, 9855, 5615, 1319, 730, 3386, 272, 1288, 276, 4936, 64, 22, 409, 1179, 248, 2343, 4936, 871, 3327, 272, 248, 1831, 2343, 8668, 270, 5397, 5615, 3276, 20190, 276, 452, 25722, 356, 1901, 406, 594, 379, 762, 255, 41, 317, 563, 265, 452, 16828, 73, 356, 22314, 406, 332, 566, 7555, 613, 370, 86, 270, 465, 25432, 255, 5014, 64, 19, 15, 18, 2479, 272, 1172, 724, 1861, 1115, 64, 19, 276, 2873, 22197, 9118, 64, 6923, 15, 18, 2479, 276, 253, 12414, 289, 276, 253, 12414, 914, 5631, 23, 2479, 724, 797, 18143, 1115, 64, 18, 67, 5032, 32410, 705, 1730, 640, 1109, 461, 326, 24867, 6034, 10, 1694, 247, 25432, 480, 543, 64, 2296, 15, 22, 2479, 272, 1172, 12284, 64, 1204, 314, 10527, 3957, 272, 3967, 23559, 289, 2057, 1140, 341, 276, 637, 2150, 9295, 12801, 276, 9855, 5615, 255, 7126, 64, 2253, 15, 23, 2479, 272, 3526, 359, 15932, 1305, 1603, 720, 12938, 1350, 596, 724, 461, 276, 1247, 375, 9748, 276, 818, 14942, 2057, 270, 34, 7446, 5326, 276, 5615, 276, 64, 971, 22, 1246, 341, 276, 2933, 4225, 596, 1404, 724, 797, 19609, 258, 375, 8818, 3650, 802, 1639, 253, 3967, 356, 3019, 2479, 406, 9516, 724, 17921, 2067, 356, 1623, 2479, 1436, 2164, 3957, 272, 253, 4569, 272, 1972, 1603, 11160, 276, 5615, 255, 251, 2984, 255, 7126, 64, 19, 15, 22, 1915, 596, 313, 8115, 604, 22280, 730, 5575, 4225, 289, 3960, 255, 251, 2984, 255, 32123, 1331, 2336, 1943, 272, 1524, 270, 4206, 32733, 335, 2553, 5076, 1018, 277, 4562, 255, 344, 8021, 276, 650, 6979, 1402, 356, 1696, 73, 325, 452, 16828, 73, 406, 505, 341, 253, 5575, 7011, 7063, 253, 1112, 1524, 4513, 356, 25160, 253, 1112, 276, 1021, 5740, 289, 1811, 276, 650, 406, 252, 248, 3704, 272, 253, 604, 22280, 1770, 272, 2933, 4225, 270, 465, 4604, 255, 247, 253, 2886, 2900, 253, 8935, 697, 4569, 12920, 453, 5575, 356, 263, 1230, 368, 406, 26457, 313, 705, 14299, 276, 657, 1262, 632, 4407, 253, 3641, 359, 20127, 1694, 2899, 650, 5190, 341, 276, 253, 2886, 2900, 253, 5575, 4225, 359, 3038, 24105, 596, 1770, 3892, 448, 7936, 4651, 1524, 363, 640, 2141, 285, 326, 276, 5615, 314, 4065, 64, 18, 4847, 2800, 276, 556, 356, 770, 315, 406, 3988, 2495, 272, 4513, 345, 15260, 10677, 272, 2873, 289, 6817, 2348, 2800, 345, 253, 6962, 6812, 289, 448, 27331, 255, 898, 694, 3048, 255, 24163, 345, 797, 1126, 2711, 802, 999, 2356, 345, 253, 8151, 6812, 356, 344, 4137, 620, 1949, 9020, 1262, 917, 359, 929, 5673, 7869, 3957, 272, 755, 612, 2711, 795, 974, 4040, 255, 581, 812, 341, 345, 15260, 8021, 272, 6817, 844, 452, 25722, 255, 14288, 19278, 554, 2984, 313, 1331, 2031, 730, 16922, 5622, 554, 356, 247, 64, 993, 19, 255, 4149, 21, 9118, 64, 4066, 795, 1507, 7435, 755, 991, 18618, 272, 22704, 1172, 359, 253, 943, 272, 1199, 991, 338, 1359, 276, 253, 2553, 7262, 746, 341, 2992, 13692, 5119, 289, 1939, 345, 253, 6193, 272, 2335, 289, 7859, 253, 452, 25722, 6817, 2230, 261, 270, 465, 16922, 5622, 255, 1534, 313, 13158, 341, 640, 5263, 10732, 2031, 6817, 2274, 335, 612, 18730, 13798, 272, 2356, 289, 11267, 917, 313, 929, 15361, 335, 248, 300, 484, 5552, 2712, 277, 4569, 30028, 3724, 2031, 7863, 276, 6817, 270, 55, 3661, 6292, 554, 8459, 276, 452, 25722, 18064, 6171, 5212, 799, 556, 1528, 724, 2625, 356, 263, 1861, 406, 8584, 272, 748, 29703, 2800, 255, 13019, 11213, 1524, 1528, 2501, 1861, 253, 1115, 797, 10656, 802, 475, 556, 5775, 604, 28264, 270, 55, 3661, 6292, 554, 64, 971, 26, 452, 25722, 2873, 5694, 543, 64, 4018, 24, 255, 344, 12414, 543, 64, 4066, 255, 332, 25560, 563, 265, 452, 16828, 73, 554, 64, 971, 26, 452, 25722, 14, 10388, 5694, 543, 64, 20, 683, 1694, 1467, 64, 5446, 2436, 4272, 20239, 270, 2522, 16922, 5622, 289, 20239, 476, 11902, 2011, 7863, 289, 7435, 16922, 5622, 313, 7936, 8597, 272, 612, 13798, 375, 7435, 396, 6484, 1197, 356, 2899, 650, 409, 2222, 335, 2452, 24077, 673, 313, 2205, 285, 3896, 341, 5615, 6484, 1197, 1215, 4560, 315, 3436, 800, 6520, 30028, 276, 7936, 632, 4513, 272, 23427, 314, 4065, 64, 18, 270, 2058, 277, 4569, 30028, 253, 6708, 359, 697, 5263, 10732, 84, 272, 13798, 649, 2446, 2800, 359, 27482, 917, 313, 253, 6520, 272, 356, 12200, 406, 2750, 272, 632, 13798, 186, 19, 270, 34, 746, 2023, 313, 2555, 285, 2022, 2356, 186, 2281, 272, 480, 313, 1215, 285, 1031, 725, 904, 532, 3896, 313, 650, 272, 253, 905, 1156, 4471, 289, 7832, 276, 655, 80, 379, 11129, 2017, 382, 24394, 84, 797, 23529, 802, 8816, 1854, 414, 344, 5327, 19877, 248, 3004, 2732, 285, 253, 1528, 270, 4065, 64, 19, 356, 4065, 64, 20, 276, 253, 1854, 554, 966, 268, 406, 18651, 253, 5327, 272, 253, 6107, 1869, 272, 15339, 3678, 272, 1967, 2063, 255, 822, 6747, 6496, 877, 15260, 4759, 15925, 255, 13559, 1076, 5367, 255, 22690, 3678, 255, 332, 4182, 3663, 5367, 314, 4065, 64, 19, 270, 21027, 272, 2553, 10677, 345, 3750, 2274, 433, 3634, 10576, 1943, 186, 974, 2800, 341, 2487, 1199, 2501, 4272, 255, 252, 248, 452, 25722, 5694, 272, 64, 13195, 255, 344, 6107, 6503, 272, 15339, 2518, 15260, 4759, 15925, 375, 15260, 5367, 359, 6450, 18112, 3182, 797, 19378, 2091, 802, 251, 253, 1460, 272, 64, 18, 375, 3428, 356, 292, 253, 6040, 3182, 2553, 2496, 10000, 276, 452, 25722, 313, 1591, 64, 3200, 285, 64, 2813, 795, 20799, 335, 2800, 341, 1423, 366, 748, 29703, 1115, 2274, 356, 344, 452, 25722, 255, 292, 277, 7231, 272, 253, 748, 29703, 255, 3028, 5028, 271, 285, 248, 1676, 272, 64, 4066, 335, 253, 748, 29703, 289, 748, 29703, 2553, 2496, 10000, 272, 64, 1504, 406, 344, 1869, 272, 253, 612, 2063, 272, 3678, 313, 1331, 4059, 356, 2160, 1804, 15100, 1737, 335, 1464, 272, 253, 2063, 272, 3678, 1436, 2281, 272, 480, 19914, 253, 3769, 272, 248, 746, 2023, 285, 2356, 289, 285, 2589, 697, 904, 285, 582, 285, 2022, 2356, 270, 859, 991, 12072, 9075, 1716, 359, 991, 8763, 10672, 1262, 640, 476, 2966, 5603, 341, 1879, 18772, 335, 2356, 1528, 1694, 1758, 1524, 1694, 1660, 650, 916, 1250, 315, 3748, 15339, 892, 10796, 272, 18772, 916, 476, 4536, 1324, 6503, 270, 465, 4604, 255, 347, 1730, 12072, 9075, 1716, 359, 1730, 8763, 10672, 1262, 640, 476, 461, 2511, 10796, 272, 18772, 341, 359, 17661, 335, 1524, 289, 696, 943, 276, 8521, 13254, 1289, 13967, 356, 292, 4224, 23352, 823, 1660, 15339, 892, 10796, 272, 18772, 3629, 3678, 289, 10677, 356, 999, 253, 1250, 1697, 255, 31995, 276, 253, 1250, 1119, 406, 9743, 6491, 476, 8521, 1869, 314, 2164, 248, 22063, 4399, 255, 1662, 652, 5190, 341, 12749, 1018, 3555, 6861, 900, 2589, 2434, 396, 1331, 10716, 285, 2856, 3156, 289, 23033, 16413, 7658, 255, 1756, 1564, 319, 751, 1528, 453, 650, 2808, 285, 1750, 672, 476, 1350, 9888, 1800, 433, 30625, 9763, 3641, 356, 3032, 452, 747, 3202, 2408, 289, 17783, 788, 334, 64, 993, 22, 6984, 277, 4040, 366, 2031, 1676, 3756, 3894, 272, 10590, 272, 1869, 453, 1018, 797, 4060, 7221, 802, 772, 1602, 8575, 2827, 571, 8021, 806, 20027, 8021, 255, 2919, 861, 461, 1020, 14, 23052, 795, 4206, 861, 11432, 17184, 255, 445, 594, 1744, 2589, 453, 2593, 1996, 276, 2593, 3276, 6658, 341, 613, 6811, 35, 1168, 1324, 255, 13068, 255, 263, 1350, 2962, 6503, 276, 253, 2886, 2900, 255, 1662, 916, 255, 1229, 253, 3989, 3555, 6861, 900, 2589, 356, 332, 253, 5708, 3555, 3638, 3641, 276, 3957, 272, 746, 4513, 255, 70, 11912, 255, 332, 18772, 406, 1808, 4324, 289, 12579, 22917, 475, 13103, 253, 2237, 6503, 272, 15339, 15260, 4759, 15925, 375, 15260, 5367, 276, 248, 1730, 12072, 9075, 3182, 844, 5615, 356, 263, 1021, 2165, 795, 51, 330, 7221, 2589, 6484, 1197, 799, 396, 313, 28359, 319, 483, 3589, 253, 1936, 276, 696, 396, 543, 5080, 314, 45, 417, 452, 747, 3202, 2408, 313, 248, 13374, 15354, 448, 253, 5162, 335, 10830, 6639, 289, 9744, 272, 253, 2439, 272, 4261, 1480, 448, 18564, 709, 15704, 28502, 4274, 272, 10638, 270, 49, 747, 3202, 2408, 620, 3729, 871, 4368, 366, 253, 5162, 335, 10830, 6639, 255, 2927, 23743, 12781, 400, 521, 356, 971, 23, 406, 332, 1547, 28410, 10190, 272, 4769, 356, 993, 20, 823, 332, 806, 248, 5118, 5664, 289, 6439, 356, 1229, 596, 730, 64, 1623, 897, 23745, 3503, 406, 251, 248, 2692, 1684, 272, 5126, 255, 1758, 1402, 10331, 255, 77, 1973, 12543, 255, 332, 2356, 255, 9837, 1021, 2165, 314, 51, 28540, 6663, 10393, 3272, 253, 6880, 272, 253, 4220, 289, 582, 461, 7367, 2076, 253, 6880, 272, 253, 12546, 375, 849, 2648, 391, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26388, 6232, 1095, 289, 787, 5693, 253, 6232, 26601, 285, 2587, 18300, 5938, 453, 6232, 7673, 276, 14798, 289, 2816, 5372, 19798, 32112, 5754, 1046, 19675, 22769, 414, 66, 18899, 5739, 6853, 270, 57, 2123, 29720, 20573, 2624, 255, 1458, 363, 3845, 255, 3202, 9891, 10329, 255, 68, 332, 397, 255, 332, 25937, 255, 18444, 253, 1608, 335, 18323, 276, 4478, 289, 1404, 64, 22, 1233, 289, 4832, 270, 48, 325, 6490, 252, 2445, 2123, 74, 17395, 1116, 31494, 462, 2257, 6840, 3051, 15032, 386, 334, 2344, 748, 1398, 3044, 488, 268, 12685, 84, 462, 648, 462, 570, 366, 2445, 2123, 29720, 255, 475, 31494, 462, 2257, 255, 1038, 317, 11419, 11121, 11778, 255, 7882, 14, 5691, 322, 279, 255, 17110, 289, 22885, 9372, 255, 8138, 3348, 3509, 335, 12642, 7833, 255, 772, 11861, 461, 2082, 255, 27506, 27077, 1890, 6305, 6896, 270, 1132, 554, 461, 248, 2814, 272, 1030, 642, 917, 697, 21346, 395, 23389, 255, 332, 396, 409, 1412, 873, 21499, 375, 4395, 5937, 28573, 270, 340, 1021, 2992, 272, 3908, 4786, 255, 21378, 366, 800, 4043, 10554, 255, 22518, 369, 341, 1778, 326, 14353, 16943, 285, 3683, 973, 2727, 554, 3844, 270, 8970, 1412, 255, 16929, 4786, 672, 326, 3318, 433, 248, 2559, 341, 3233, 6340, 253, 3126, 405, 592, 15180, 2744, 265, 11778, 3036, 2071, 4749, 8555, 433, 8990, 2344, 3039, 7792, 21963, 1167, 14335, 255, 1058, 380, 1145, 270, 340, 2992, 272, 24406, 359, 13344, 255, 16929, 1874, 341, 1648, 279, 2127, 849, 2642, 8144, 2862, 255, 332, 253, 693, 272, 4402, 6684, 341, 2258, 3908, 253, 15830, 19322, 270, 673, 554, 248, 2682, 2072, 255, 76, 322, 12981, 15830, 10559, 341, 3476, 1422, 2123, 29720, 18112, 2191, 12642, 34, 1354, 289, 1331, 5143, 3908, 4786, 1778, 313, 285, 693, 2624, 341, 1516, 1422, 2123, 29720, 270, 22415, 17799, 270, 6305, 6896, 270, 57, 254, 513, 302, 646, 313, 248, 1925, 341, 6842, 285, 3908, 4786, 5485, 453, 4112, 375, 15932, 21522, 1893, 270, 8840, 2832, 356, 30741, 406, 999, 253, 15830, 11872, 289, 6521, 3573, 356, 7957, 26110, 21281, 3631, 795, 15848, 448, 414, 7348, 3343, 5024, 12352, 6696, 13789, 16, 10617, 16, 10617, 30900, 889, 1474, 22179, 2197, 16, 927, 78, 13683, 20, 2791, 28357, 270, 32633, 1046, 9736, 270, 3608, 127, 115, 261, 462, 9715, 261, 542, 255, 5466, 408, 80, 416, 255, 5444, 2567, 6493, 864, 525, 395, 393, 417, 395, 1028, 255, 37, 325, 422, 525, 270, 340, 937, 272, 64, 18, 1186, 14497, 249, 9460, 473, 399, 9848, 813, 289, 64, 2055, 1186, 89, 2123, 29720, 2391, 345, 938, 27320, 29957, 3893, 527, 289, 14635, 12711, 276, 1404, 270, 43, 26256, 7061, 21542, 2949, 64, 993, 24, 28, 25, 27, 1456, 14, 2510, 270, 6305, 6896, 270, 46, 25831, 2671, 13696, 393, 255, 58, 1178, 392, 265, 987, 270, 21027, 272, 1422, 2123, 29720, 9118, 31405, 3946, 319, 414, 66, 9122, 9763, 2429, 272, 3966, 7284, 270, 12408, 891, 2002, 3908, 4786, 672, 326, 596, 12185, 285, 5826, 8555, 1262, 640, 3731, 253, 4232, 2843, 433, 277, 8382, 1893, 272, 21522, 270, 340, 21522, 20603, 3162, 272, 1422, 2123, 29720, 870, 2587, 253, 2426, 272, 3908, 4786, 1894, 10145, 4749, 8555, 255, 4741, 2445, 2123, 317, 350, 1116, 248, 1199, 2379, 289, 3145, 3908, 4786, 18200, 270, 3737, 255, 7002, 15427, 861, 1422, 2123, 29720, 3036, 2071, 18323, 276, 1404, 1319, 730, 64, 22, 1233, 2218, 270, 6137, 632, 6384, 7378, 270, 673, 6287, 248, 3783, 29888, 4997, 1197, 396, 911, 11634, 476, 2282, 341, 1018, 1422, 2123, 29720, 10329, 375, 281, 6301, 5346, 1253, 5338, 409, 2587, 3908, 4786, 11664, 656, 781, 4019, 289, 2071, 253, 4534, 272, 892, 4762, 272, 8555, 270, 36, 4836, 11043, 17455, 8761, 303, 4508, 64, 993, 18, 18638, 64, 26, 28, 9, 1298, 6382, 5364, 26614, 17, 3790, 270, 3030, 21942, 1422, 2123, 29720, 335, 25843, 4224, 285, 2587, 2426, 255, 1901, 248, 9425, 90, 9091, 255, 19507, 730, 25843, 2778, 270, 21323, 4786, 1422, 2123, 29720, 2560, 23444, 285, 15946, 3908, 4786, 2426, 270, 6305, 6896, 270, 2124, 5826, 1853, 31109, 1158, 255, 3255, 812, 253, 3769, 272, 4786, 7890, 285, 2071, 18259, 24158, 1800, 255, 2919, 2122, 12101, 268, 253, 4786, 9727, 448, 4273, 366, 3225, 80, 484, 955, 21252, 11825, 270, 2281, 955, 319, 3927, 270, 45, 347, 10723, 72, 5607, 356, 971, 23, 406, 9906, 341, 436, 1054, 268, 8286, 1422, 2123, 29720, 1943, 276, 21522, 289, 5826, 14635, 345, 253, 1112, 1460, 363, 23118, 10329, 289, 23591, 2624, 270, 52, 263, 3946, 319, 3510, 366, 1422, 2123, 29720, 276, 7876, 272, 5826, 1152, 397, 270, 57, 2123, 29720, 289, 3908, 4786, 270, 17253, 64, 2510, 270, 18977, 27919, 345, 1152, 19238, 375, 19621, 2689, 672, 652, 870, 270, 28928, 74, 426, 258, 566, 255, 24919, 327, 251, 258, 599, 255, 44, 1390, 1317, 76, 740, 566, 255, 308, 382, 270, 600, 5326, 313, 1285, 5273, 433, 253, 6375, 7120, 6446, 10270, 9207, 270, 1245, 359, 11149, 1071, 31785, 18732, 1246, 276, 2673, 289, 3700, 10884, 360, 812, 486, 9557, 4749, 1109, 2876, 1039, 486, 10761, 8764, 911, 2281, 3352, 13758, 270, 27341, 2343, 255, 9846, 12361, 30110, 1422, 2123, 29720, 255, 66, 2191, 9557, 8495, 341, 23335, 3126, 5006, 270, 21323, 4786, 313, 3318, 433, 253, 3126, 405, 592, 15180, 276, 253, 4786, 461, 8763, 5123, 255, 263, 255, 2750, 4533, 255, 1639, 4786, 7890, 5935, 285, 15830, 24406, 270, 46, 553, 247, 258, 1028, 44, 270, 43, 5179, 22436, 3466, 431, 64, 993, 18, 28, 18336, 9, 26, 6382, 11746, 22, 14, 13662, 18, 270, 6214, 255, 344, 15193, 356, 57, 2123, 29720, 672, 652, 870, 2071, 4749, 8555, 255, 822, 313, 4379, 2096, 31454, 359, 2580, 2419, 2445, 2123, 74, 17395, 1116, 285, 556, 1395, 2081, 795, 20155, 538, 255, 52, 619, 525, 270, 57, 2123, 29720, 335, 7876, 272, 5826, 1152, 397, 270, 25372, 10186, 272, 11723, 5590, 2888, 270, 6305, 6896, 270, 10245, 18917, 851, 400, 255, 19714, 260, 1028, 27329, 19891, 255, 25280, 876, 270, 57, 2123, 29720, 276, 10145, 5826, 1152, 397, 414, 34, 9763, 2429, 289, 12771, 14, 21096, 25286, 270, 30745, 648, 532, 255, 45, 569, 659, 538, 255, 14715, 308, 1885, 393, 270, 9772, 3378, 937, 272, 17276, 1422, 2123, 29720, 4087, 345, 556, 21073, 1152, 397, 11994, 270, 11802, 7120, 1147, 461, 1552, 2755, 6813, 255, 32037, 375, 1778, 270, 49, 9368, 84, 64, 971, 19, 28, 12627, 27, 38, 683, 270, 35, 22821, 516, 7665, 2245, 19251, 10964, 25298, 655, 681, 4209, 270, 52, 577, 1071, 3442, 253, 1600, 285, 870, 1927, 486, 1352, 27077, 289, 486, 4786, 2450, 272, 8038, 270, 1173, 21337, 77, 8184, 285, 1422, 2123, 29720, 9226, 433, 2526, 267, 8633, 1136, 289, 1541, 12697, 8512, 1136, 270, 340, 28488, 797, 29720, 802, 262, 811, 360, 409, 905, 1412, 2595, 248, 4743, 5527, 270, 28847, 7081, 2130, 73, 681, 73, 416, 255, 16818, 6728, 25432, 255, 2860, 2101, 19413, 270, 57, 2123, 29720, 1687, 276, 3163, 10963, 1253, 11296, 285, 15794, 1404, 4224, 285, 4019, 2587, 253, 966, 272, 1238, 5938, 640, 1012, 289, 253, 777, 335, 11353, 270, 43, 14744, 303, 20374, 4822, 64, 2478, 17, 28, 683, 9, 18, 6382, 10653, 14, 1551, 270, 35, 3058, 17064, 4584, 824, 5012, 4464, 64, 2478, 17, 28, 2791, 9, 26, 6382, 12153, 21, 14, 728, 270, 28847, 7081, 2130, 73, 681, 73, 416, 255, 45, 617, 3228, 610, 255, 16818, 6728, 25432, 255, 2860, 2101, 19413, 270, 36, 656, 781, 270, 54, 73, 740, 462, 255, 44, 1390, 1317, 76, 740, 566, 255, 44, 395, 76, 20067, 462, 255, 47, 23473, 20067, 462, 270, 57, 2123, 29720, 23118, 10329, 276, 7876, 272, 7244, 26019, 3631, 3604, 414, 16886, 16321, 569, 255, 9742, 1076, 6853, 270, 3737, 255, 3591, 10329, 3476, 1422, 2123, 29720, 255, 822, 3036, 13836, 21522, 2413, 270, 3091, 30413, 270, 340, 2445, 2123, 74, 17395, 1116, 7908, 5196, 556, 8532, 285, 1959, 21522, 255, 6317, 16583, 751, 253, 4786, 335, 2032, 2954, 255, 12078, 640, 6619, 25454, 270, 34, 25843, 15830, 10559, 409, 326, 15929, 255, 772, 248, 25843, 15830, 10559, 366, 1422, 2123, 29720, 409, 870, 3156, 316, 363, 1020, 363, 6134, 334, 986, 253, 15830, 19322, 270, 6305, 6896, 270, 51, 1054, 268, 409, 1039, 248, 1415, 4072, 270, 19276, 3635, 6232, 1565, 2445, 2123, 29720, 289, 2445, 254, 513, 302, 646, 270, 52, 14136, 7266, 10329, 409, 652, 1552, 2136, 3378, 10389, 453, 3908, 4786, 270, 340, 1387, 10963, 476, 838, 6281, 276, 3473, 1251, 578, 40, 2473, 13175, 255, 47, 6213, 90, 258, 24648, 270, 3278, 806, 7393, 25977, 2624, 359, 1895, 335, 769, 7640, 2426, 272, 3908, 4786, 255, 772, 1831, 476, 838, 6034, 276, 5739, 3966, 14766, 270, 19077, 613, 10694, 2206, 1875, 1019, 57, 4716, 13407, 270, 44, 322, 554, 2445, 4716, 11121, 473, 613, 10694, 2206, 1875, 366, 2445, 2123, 29720, 543, 2511, 366, 1404, 276, 2605, 270, 49, 2248, 252, 83, 22436, 64, 993, 24, 28, 4355, 27, 10479, 14, 7368, 270, 20478, 7197, 248, 1422, 2123, 29720, 15830, 10559, 313, 253, 1763, 1119, 285, 1927, 253, 9091, 2132, 705, 341, 4786, 7890, 313, 1575, 270, 34, 2391, 5157, 1422, 2123, 29720, 6273, 2587, 14635, 276, 1404, 270, 51, 17907, 452, 255, 16265, 413, 525, 255, 22092, 3795, 579, 255, 2860, 282, 347, 19631, 255, 5718, 2506, 2125, 610, 55, 270, 37, 3062, 49, 64, 2586, 26, 28, 2253, 27, 6370, 18, 14, 19, 270, 2928, 10370, 360, 2539, 7890, 276, 4609, 2897, 1874, 270, 3475, 9297, 289, 14992, 12853, 255, 18646, 64, 993, 18, 270, 27556, 9434, 64, 1626, 255, 2478, 17, 270, 57, 2123, 29720, 13325, 289, 4949, 397, 359, 8523, 285, 870, 3126, 5006, 289, 476, 838, 1275, 626, 271, 433, 3952, 3638, 5826, 12785, 270, 13853, 2582, 17106, 1126, 64, 971, 17, 28, 3716, 27, 7735, 14, 1504, 270, 57, 2123, 29720, 20573, 2624, 335, 10145, 5826, 1152, 397, 276, 1404, 289, 4478, 270, 600, 1030, 672, 461, 3683, 486, 1661, 1095, 7230, 270, 57, 2123, 29720, 409, 5296, 301, 253, 7961, 4171, 276, 486, 4786, 255, 15836, 14635, 22615, 289, 4749, 8555, 270, 57, 2123, 29720, 13027, 914, 1305, 9073, 5938, 9256, 285, 2071, 7244, 26019, 3631, 3604, 270, 20706, 1076, 5739, 1190, 272, 26630, 1076, 5069, 2125, 279, 1422, 2123, 29720, 9118, 5069, 2125, 279, 25843, 276, 6806, 1076, 2081, 366, 13826, 18932, 312, 272, 1859, 9444, 24039, 270, 465, 2326, 285, 253, 612, 3185, 255, 1662, 558, 2876, 13836, 253, 1893, 272, 21522, 276, 486, 4786, 255, 822, 313, 1415, 335, 486, 6232, 1095, 289, 652, 1825, 6109, 335, 1288, 891, 8534, 453, 1422, 254, 513, 302, 646, 356, 16929, 4786, 795, 6305, 6896, 270, 2655, 247, 748, 1398, 21161, 64, 993, 24, 4584, 64, 1456, 270, 12632, 755, 19762, 693, 6720, 276, 1071, 356, 13489, 473, 795, 36, 3026, 20535, 1980, 272, 1422, 2123, 29720, 2566, 4949, 397, 289, 3137, 91, 1178, 261, 414, 66, 9763, 2429, 270, 673, 6134, 334, 3334, 253, 4786, 1655, 16697, 6879, 375, 924, 955, 548, 356, 263, 4743, 406, 1554, 409, 1783, 596, 3908, 1074, 270, 21323, 462, 2257, 10389, 1600, 289, 4273, 270, 3403, 4805, 2241, 558, 461, 326, 3729, 270, 57, 2123, 29720, 13, 260, 16004, 9856, 4743, 14170, 255, 3489, 838, 2282, 285, 2587, 4749, 8555, 270, 10570, 453, 480, 2300, 313, 2589, 2566, 289, 6022, 255, 332, 1655, 5978, 3782, 270, 57, 2123, 29720, 558, 652, 870, 5685, 2215, 11872, 7233, 4171, 255, 7796, 360, 269, 1390, 1215, 326, 7569, 486, 3908, 4786, 255, 1129, 3738, 326, 7569, 486, 6232, 1095, 270, 9399, 458, 302, 4096, 1253, 15830, 16237, 366, 1422, 2123, 29720, 276, 253, 31851, 1784, 272, 1275, 251, 10694, 1275, 18384, 5055, 270, 600, 11405, 271, 1400, 313, 2843, 433, 12856, 19770, 1016, 1601, 20256, 17455, 6141, 9648, 23526, 270, 57, 2123, 29720, 335, 10145, 7244, 26019, 3631, 3604, 276, 1404, 725, 285, 64, 1058, 1233, 272, 2163, 270, 673, 652, 3036, 366, 3908, 4786, 289, 253, 3731, 272, 21522, 270, 14351, 11778, 313, 253, 1774, 285, 6232, 1095, 270, 57, 2123, 29720, 23118, 10329, 939, 326, 3022, 1253, 11296, 285, 1959, 253, 21522, 3034, 289, 870, 276, 10145, 253, 5679, 272, 6683, 341, 359, 253, 1783, 272, 4352, 7530, 270, 974, 4040, 255, 5117, 15830, 1237, 598 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17249, 334, 6728, 272, 3315, 276, 253, 1046, 313, 277, 1156, 1757, 276, 2204, 800, 1295, 270, 673, 313, 3593, 13042, 285, 2849, 248, 3315, 709, 847, 9571, 7103, 6488, 453, 800, 3975, 270, 3258, 6281, 2142, 335, 10590, 272, 847, 9571, 23256, 272, 4893, 359, 3484, 21618, 255, 344, 3865, 433, 3975, 3942, 985, 255, 332, 253, 7966, 877, 253, 2468, 9286, 3039, 19767, 272, 4893, 270, 13136, 9286, 18370, 322, 5924, 289, 9286, 3039, 3923, 5924, 721, 8283, 3036, 7045, 253, 10590, 5995, 314, 959, 9113, 248, 11733, 272, 3315, 7787, 453, 20399, 29406, 6499, 4038, 53, 4598, 289, 6982, 271, 713, 721, 64, 1058, 5187, 1625, 345, 556, 847, 9571, 7103, 270, 20179, 46, 10162, 724, 9064, 285, 2849, 253, 847, 9571, 3865, 1625, 345, 9286, 3039, 5924, 289, 9286, 3039, 3923, 5924, 270, 8830, 724, 5966, 1253, 64, 728, 18311, 3555, 14123, 270, 10568, 430, 538, 10335, 12456, 356, 51, 35, 39, 406, 534, 457, 9563, 11447, 289, 4305, 18004, 2975, 270, 9526, 10590, 5995, 7651, 285, 64, 9129, 15, 25, 1186, 475, 9286, 3039, 5924, 289, 64, 5870, 15, 17, 1186, 475, 9286, 3039, 3923, 5924, 270, 465, 1460, 285, 8985, 253, 1869, 272, 966, 272, 847, 9571, 7103, 536, 9113, 871, 596, 15804, 272, 10693, 289, 3169, 847, 9571, 7103, 270, 9526, 5995, 543, 2258, 5135, 285, 64, 6900, 15, 26, 1186, 332, 64, 5050, 15, 5585, 17113, 34, 892, 393, 21680, 1625, 2023, 313, 4230, 1625, 345, 9286, 3039, 289, 9286, 3039, 3923, 5924, 270, 25494, 2838, 341, 878, 7201, 289, 3353, 596, 3315, 3041, 721, 8283, 11283, 253, 5995, 285, 248, 1825, 5592, 270, 673, 543, 652, 12083, 341, 253, 878, 1031, 2129, 285, 326, 9054, 271, 285, 1409, 2110, 272, 253, 3413, 272, 878, 276, 632, 253, 5187, 314, 4756, 9571, 23256, 313, 248, 1774, 5313, 8385, 272, 4893, 270, 3500, 3315, 620, 783, 11925, 2975, 270, 1283, 897, 14, 4297, 369, 335, 942, 12040, 1295, 255, 32497, 1349, 326, 19782, 285, 253, 2443, 8775, 355, 263, 22359, 591, 24840, 276, 248, 18215, 831, 375, 7557, 285, 248, 7050, 2568, 3206, 253, 847, 9571, 3865, 272, 248, 3315, 409, 326, 4507, 433, 12851, 1967, 1302, 900, 11924, 5470, 255, 264, 313, 720, 13751, 289, 15655, 285, 12675, 253, 2010, 13870, 1625, 345, 6158, 3957, 270, 340, 966, 272, 3315, 3975, 7073, 313, 2958, 6768, 649, 264, 313, 3593, 13042, 285, 852, 248, 7148, 1135, 335, 3904, 289, 9160, 19567, 3315, 847, 9571, 3865, 270, 34, 966, 272, 11583, 1716, 476, 838, 2511, 285, 2849, 253, 847, 9571, 23256, 272, 4893, 270, 3258, 272, 755, 2142, 335, 10590, 272, 847, 9571, 23256, 272, 4893, 359, 1625, 345, 3484, 21618, 2219, 344, 3865, 433, 3975, 3942, 985, 255, 332, 253, 7966, 877, 253, 2468, 9286, 3039, 19767, 272, 4893, 1018, 8307, 8325, 2758, 356, 3021, 47, 27711, 25038, 3246, 15098, 8797, 3017, 253, 7658, 272, 248, 1774, 19667, 3484, 356, 70, 2263, 270, 8728, 265, 17119, 255, 1920, 11172, 6479, 15465, 3484, 375, 6912, 23256, 3484, 823, 344, 4013, 272, 696, 5190, 248, 9629, 637, 4032, 25005, 847, 9571, 23256, 270, 87, 251, 2465, 8136, 798, 288, 332, 9038, 476, 2511, 847, 9571, 23256, 28715, 3128, 285, 2595, 2518, 3484, 21618, 375, 8482, 19832, 22110, 21618, 270, 4001, 285, 2328, 282, 395, 2017, 382, 1353, 1605, 24, 649, 47, 553, 4266, 289, 1028, 1721, 7960, 66, 255, 1605, 19, 2219, 25684, 27006, 313, 253, 25346, 272, 942, 28715, 1262, 10701, 22078, 4893, 359, 22872, 433, 277, 15797, 3484, 3975, 285, 556, 12845, 255, 7299, 640, 359, 285, 326, 5384, 32079, 882, 248, 7050, 721, 248, 1829, 1327, 23243, 255, 263, 285, 1940, 6615, 721, 253, 7050, 2568, 340, 10250, 272, 942, 23256, 10590, 313, 7074, 3017, 253, 9070, 272, 5167, 613, 30676, 3975, 255, 822, 409, 326, 9535, 15789, 861, 253, 1135, 25587, 253, 1423, 15787, 722, 7482, 255, 772, 409, 1357, 285, 9589, 7787, 1285, 7407, 375, 11788, 3583, 255, 11642, 17282, 253, 6959, 6921, 345, 713, 2568, 4756, 9571, 23256, 409, 1412, 326, 7950, 433, 12535, 335, 3942, 20875, 7787, 270, 9330, 23256, 28715, 1999, 22801, 265, 2344, 4893, 345, 253, 3468, 272, 9286, 3039, 3975, 5924, 1019, 8057, 1766, 751, 248, 6040, 9286, 3039, 5924, 366, 23256, 285, 248, 1829, 847, 9571, 22801, 375, 1327, 23243, 2568, 8907, 255, 7960, 1996, 272, 253, 15763, 1323, 272, 9286, 3039, 11055, 1610, 878, 335, 847, 9571, 23256, 724, 11496, 285, 1324, 4753, 272, 914, 248, 1831, 5118, 4893, 270, 11634, 4525, 341, 1247, 4371, 721, 64, 1058, 902, 2424, 3675, 285, 556, 847, 9571, 7103, 11283, 253, 10590, 5995, 270, 2164, 253, 3468, 272, 480, 8869, 248, 21741, 417, 7920, 5289, 4876, 543, 4808, 288, 864, 2849, 847, 9571, 3865, 272, 248, 8760, 3315, 270, 600, 1135, 313, 652, 1625, 345, 9286, 18370, 322, 5924, 289, 253, 1528, 4349, 882, 2095, 13682, 26193, 255, 75, 666, 79, 1131, 289, 4726, 11733, 3642, 5043, 253, 5135, 5995, 2087, 314, 465, 480, 1854, 255, 260, 3636, 620, 838, 1509, 285, 2022, 253, 10590, 5995, 272, 847, 9571, 23256, 272, 4893, 1018, 1360, 5164, 3836, 356, 20179, 46, 795, 5397, 4509, 9730, 299, 2263, 270, 34, 1764, 80, 3039, 19767, 289, 9286, 3039, 7505, 356, 5937, 2411, 70, 22304, 406, 738, 6128, 313, 2621, 335, 253, 10590, 314, 20179, 46, 18004, 5076, 186, 673, 313, 461, 1724, 1485, 9608, 696, 18004, 1295, 255, 5616, 335, 4679, 31107, 255, 36, 255, 332, 284, 313, 253, 1763, 335, 8869, 1800, 255, 332, 22084, 783, 2505, 272, 7347, 2939, 1349, 326, 2598, 285, 2595, 253, 1415, 3923, 272, 400, 255, 18689, 335, 542, 35, 39, 289, 400, 255, 69, 335, 11447, 289, 4305, 564, 1917, 1847, 285, 3235, 991, 2799, 5995, 270, 1316, 2799, 253, 393, 21680, 255, 581, 777, 285, 2303, 253, 1500, 18004, 1295, 289, 253, 1763, 2173, 335, 253, 18004, 4679, 335, 253, 6980, 1528, 270, 465, 480, 1190, 255, 581, 2487, 433, 12535, 253, 1500, 18004, 1295, 270, 10152, 2173, 272, 253, 31107, 7347, 359, 785, 285, 1136, 253, 2274, 272, 542, 35, 39, 18004, 13780, 453, 253, 7133, 1461, 356, 74, 3031, 270, 18, 16, 6609, 272, 4509, 9730, 406, 864, 64, 17, 15, 18, 270, 2447, 3678, 253, 1461, 335, 31107, 7347, 255, 9264, 1208, 7347, 400, 543, 7615, 3259, 285, 64, 1504, 17, 270, 9526, 5995, 356, 13399, 406, 3028, 14006, 1253, 64, 728, 18311, 3555, 14123, 270, 8830, 272, 2468, 784, 86, 23957, 335, 64, 3547, 21, 20, 7787, 366, 902, 2063, 272, 18004, 2975, 289, 556, 4679, 359, 22150, 276, 28615, 64, 18, 255, 19, 7841, 20, 270, 4156, 5076, 2939, 543, 2598, 335, 253, 1461, 272, 400, 366, 64, 1504, 255, 4066, 255, 332, 64, 1504, 17, 270, 673, 543, 1246, 341, 2468, 5995, 543, 1763, 799, 400, 580, 1504, 289, 31107, 580, 17, 15, 18, 356, 3032, 7758, 64, 18, 7841, 19, 795, 959, 652, 7695, 253, 1461, 272, 14654, 7347, 284, 335, 253, 11447, 289, 4305, 18004, 13780, 453, 284, 580, 19, 285, 64, 22, 270, 959, 1246, 341, 253, 2468, 5995, 10357, 366, 253, 1959, 276, 1461, 272, 7347, 284, 356, 3032, 7758, 64, 20, 795, 5426, 255, 864, 2798, 253, 806, 1834, 9876, 289, 23739, 248, 1811, 3767, 9617, 255, 18689, 580, 17, 15, 18, 356, 475, 542, 35, 39, 823, 36, 580, 1504, 356, 475, 632, 1464, 18004, 406, 332, 284, 580, 19, 356, 475, 11447, 406, 262, 785, 270, 12921, 29807, 18004, 7443, 285, 4305, 799, 253, 1461, 272, 284, 580, 18, 270, 11075, 1528, 5418, 341, 253, 542, 35, 39, 18004, 15822, 1811, 730, 11447, 289, 4305, 564, 1917, 1847, 314, 6863, 64, 18, 270, 21982, 6168, 272, 784, 86, 23957, 366, 1967, 2173, 272, 18940, 356, 18689, 406, 1411, 5409, 785, 276, 542, 35, 39, 18004, 276, 393, 21680, 314, 6863, 64, 19, 270, 21982, 6168, 272, 2468, 784, 86, 23957, 366, 1967, 400, 1461, 356, 53, 4299, 3557, 877, 2799, 3894, 289, 13183, 406, 1411, 5409, 785, 276, 542, 35, 39, 18004, 276, 393, 21680, 314, 6863, 64, 20, 270, 7054, 84, 6168, 272, 2468, 784, 86, 23957, 366, 902, 284, 1461, 356, 32454, 406, 1411, 5409, 785, 276, 11845, 29807, 18004, 276, 393, 21680, 186, 340, 2889, 2939, 1135, 543, 652, 2598, 335, 253, 11733, 366, 64, 19337, 18, 3315, 7787, 270, 673, 543, 1246, 341, 253, 2468, 5995, 313, 8247, 366, 253, 542, 35, 39, 18004, 270, 673, 9374, 341, 253, 1461, 272, 31107, 806, 1834, 887, 253, 393, 21680, 1247, 6553, 1175, 11447, 289, 4305, 18004, 6796, 1020, 356, 3032, 7758, 64, 21, 1436, 6863, 64, 21, 270, 6863, 2838, 6168, 272, 566, 47, 71, 255, 6851, 71, 289, 26391, 366, 10088, 289, 637, 23017, 11733, 1018, 11845, 29807, 18004, 276, 393, 21680, 366, 284, 580, 19, 314, 34, 1764, 80, 3039, 5924, 393, 55, 14332, 186, 340, 393, 21680, 543, 2843, 366, 64, 643, 17012, 4509, 5164, 1625, 345, 9286, 3039, 19767, 270, 51, 35, 39, 255, 12921, 29807, 289, 4305, 18004, 2975, 359, 785, 366, 253, 905, 6980, 1461, 272, 253, 4679, 270, 340, 1763, 1528, 359, 5988, 1018, 542, 35, 39, 18004, 270, 340, 1461, 272, 18940, 3038, 289, 9943, 7347, 797, 36, 802, 3028, 16482, 285, 797, 17, 15, 18, 802, 332, 797, 1504, 802, 6668, 270, 340, 1528, 4349, 1253, 3169, 6219, 3555, 14, 14382, 312, 3815, 253, 3635, 2468, 5995, 272, 64, 9129, 15, 25, 17113, 340, 393, 21680, 543, 2843, 366, 64, 23045, 17012, 356, 643, 13975, 643, 1422, 64, 643, 8338, 28718, 9730, 1625, 345, 1213, 253, 9286, 3039, 19767, 289, 253, 9286, 3039, 3923, 19767, 270, 465, 253, 10133, 2023, 1763, 1528, 359, 4349, 366, 542, 35, 39, 18004, 270, 959, 476, 652, 785, 253, 11447, 18004, 289, 4305, 18004, 1175, 253, 1528, 359, 29422, 276, 6168, 285, 542, 35, 39, 18004, 270, 340, 1461, 272, 253, 18940, 3778, 18689, 5165, 332, 9943, 7347, 400, 16482, 285, 797, 17, 15, 18, 802, 332, 797, 1504, 802, 6668, 270, 340, 3635, 2468, 5995, 2650, 285, 64, 5870, 15, 17, 9933, 4065, 64, 18, 2838, 341, 542, 35, 39, 18004, 335, 393, 21680, 1247, 6553, 15822, 1811, 730, 11447, 289, 4305, 564, 1917, 1847, 270, 34, 1764, 80, 3039, 3923, 5924, 620, 838, 2282, 285, 1516, 4982, 1030, 285, 10809, 4893, 272, 902, 847, 9571, 7103, 356, 3032, 6592, 64, 19, 1436, 4065, 64, 18, 270, 10827, 6138, 10747, 1676, 2987, 2962, 5650, 356, 53, 47, 71, 823, 11101, 2987, 2451, 5650, 356, 6851, 71, 406, 332, 1676, 2468, 5995, 356, 13399, 406, 475, 64, 23045, 3041, 11733, 366, 393, 21680, 1018, 542, 35, 39, 255, 12921, 29807, 289, 16824, 18004, 314, 4065, 64, 19, 270, 10827, 6138, 22213, 2468, 5995, 335, 64, 23045, 3041, 11733, 366, 393, 21680, 1018, 542, 35, 39, 18004, 314, 22210, 1215, 253, 9286, 3039, 5924, 3815, 783, 1030, 697, 253, 847, 9571, 7103, 1175, 461, 4982, 2512, 285, 8797, 345, 396, 270, 16400, 596, 3315, 3041, 1560, 2286, 1811, 10590, 5995, 270, 16400, 6119, 11156, 3162, 844, 28734, 289, 5255, 363, 253, 3232, 3315, 4509, 916, 326, 1865, 285, 7482, 22065, 253, 4893, 366, 2984, 375, 1730, 3975, 2561, 270, 1283, 1650, 253, 2202, 272, 596, 3041, 335, 10590, 255, 581, 5572, 9286, 3039, 3923, 5924, 270, 1130, 3984, 255, 6863, 64, 22, 2838, 341, 596, 3041, 2286, 5135, 5995, 270, 3444, 5294, 7651, 285, 64, 5870, 15, 17, 1186, 2236, 64, 9129, 15, 25, 9933, 673, 313, 652, 12083, 341, 253, 6734, 877, 253, 3635, 566, 49, 71, 255, 53, 47, 71, 289, 26391, 313, 1331, 1319, 356, 3032, 6592, 64, 20, 1436, 6863, 64, 22, 270, 25038, 3246, 1528, 272, 12262, 29664, 15821, 356, 20179, 46, 406, 1229, 21032, 3468, 1295, 356, 51, 35, 39, 406, 76, 14546, 270, 6863, 2838, 6168, 272, 2987, 2962, 5650, 356, 53, 47, 71, 823, 15969, 2451, 5650, 356, 6851, 71, 823, 332, 2468, 5995, 356, 13399, 1436, 4065, 64, 20, 270, 10827, 6138, 10747, 1676, 2987, 2962, 5650, 356, 53, 47, 71, 823, 11101, 2987, 2451, 5650, 356, 6851, 71, 406, 332, 1676, 2468, 5995, 356, 13399, 406, 475, 64, 23045, 289, 64, 643, 3041, 11733, 366, 393, 21680, 1018, 542, 35, 39, 18004, 314, 25384, 272, 966, 272, 847, 9571, 7103, 186, 465, 1460, 285, 8985, 253, 2202, 272, 253, 966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21165, 473, 21054, 855, 24499, 25473, 1019, 8494, 19548, 23305, 6568, 8882, 1048, 14326, 186, 340, 1309, 5085, 272, 23087, 24499, 3642, 359, 6071, 861, 360, 2865, 476, 248, 2450, 1333, 550, 79, 1576, 272, 23087, 24499, 314, 1452, 255, 475, 253, 9061, 272, 945, 8909, 453, 7963, 12033, 4680, 255, 1458, 3642, 359, 20493, 315, 17822, 314, 1611, 255, 1432, 409, 536, 2737, 341, 1350, 253, 7963, 254, 3080, 272, 23087, 24499, 255, 6755, 1747, 775, 3572, 12033, 255, 263, 847, 17335, 23087, 24499, 359, 9140, 6561, 3017, 12033, 3678, 879, 22180, 5399, 9065, 577, 416, 3527, 1048, 8052, 12365, 13178, 1998, 18724, 855, 24499, 25473, 8, 879, 340, 1387, 4628, 697, 23087, 24499, 3642, 558, 14608, 1893, 596, 26821, 861, 360, 1179, 396, 363, 396, 6572, 14040, 2151, 255, 2691, 255, 347, 5951, 276, 248, 13391, 627, 289, 7588, 285, 1939, 345, 650, 1661, 1120, 9806, 255, 1660, 3322, 5473, 345, 818, 272, 253, 6169, 276, 253, 5280, 3761, 276, 1460, 285, 9532, 9423, 314, 18724, 855, 24499, 25473, 6568, 26202, 3846, 9372, 906, 3846, 23743, 5723, 3531, 312, 186, 34, 2028, 3468, 285, 480, 32334, 276, 23087, 16274, 3678, 313, 253, 5148, 276, 696, 942, 2755, 3642, 359, 13460, 314, 974, 4040, 255, 623, 23087, 24499, 1136, 313, 253, 566, 14440, 1704, 1136, 356, 380, 16274, 20603, 9258, 795, 2058, 1309, 255, 344, 1684, 272, 64, 17, 15, 22, 285, 64, 21, 15, 22, 16, 22, 15, 22, 313, 1625, 345, 20180, 2621, 248, 2642, 9008, 13559, 3906, 1684, 1634, 292, 4507, 433, 6824, 276, 253, 12414, 255, 292, 272, 11467, 64, 993, 17, 314, 1283, 1039, 2018, 1350, 596, 8008, 255, 1662, 4905, 4137, 409, 4496, 453, 2815, 285, 2815, 255, 4741, 253, 2049, 272, 1998, 13559, 1076, 5320, 8, 956, 292, 244, 534, 271, 433, 905, 10398, 1019, 247, 2778, 3191, 28986, 1067, 314, 3888, 255, 11328, 12009, 413, 8200, 2905, 16274, 12456, 25473, 6568, 525, 623, 186, 1283, 1012, 248, 1618, 2699, 272, 12033, 12821, 1295, 255, 18196, 873, 248, 3783, 8432, 721, 811, 253, 1309, 23087, 24499, 1704, 1136, 313, 2598, 255, 332, 1232, 3708, 258, 253, 4628, 285, 1540, 2192, 272, 1285, 1865, 285, 5792, 725, 480, 1115, 272, 6518, 1998, 247, 25697, 1634, 380, 16274, 12764, 314, 2058, 1309, 255, 5334, 41, 356, 380, 16274, 20603, 9258, 406, 262, 2340, 253, 965, 272, 253, 1704, 3642, 12094, 433, 5320, 255, 864, 24137, 2572, 12033, 1295, 313, 448, 277, 8382, 1115, 375, 461, 270, 4514, 1704, 1136, 916, 326, 248, 579, 53, 21, 356, 10063, 566, 21, 406, 332, 3824, 248, 579, 53, 20, 356, 10063, 566, 20, 406, 5953, 314, 3440, 1704, 3642, 335, 23087, 24499, 696, 939, 326, 3101, 272, 1540, 1288, 3678, 335, 12033, 10756, 255, 3495, 386, 1720, 1246, 276, 1967, 3080, 272, 20289, 12033, 1807, 255, 1458, 363, 20289, 12033, 3631, 5591, 4629, 1747, 610, 1717, 317, 9080, 1807, 1436, 1294, 16269, 253, 12033, 604, 24331, 568, 10756, 356, 344, 905, 6217, 3909, 335, 610, 1717, 317, 14563, 823, 13707, 6935, 90, 287, 4835, 868, 5438, 10756, 255, 332, 4597, 2039, 1767, 84, 9175, 10756, 314, 497, 16274, 8368, 13413, 3364, 4439, 525, 619, 5399, 1048, 23057, 2905, 16274, 610, 1106, 623, 186, 340, 1998, 39, 1634, 247, 4502, 272, 253, 566, 21, 289, 566, 20, 5043, 341, 942, 1704, 7437, 359, 6390, 3851, 335, 253, 5558, 272, 13861, 1895, 566, 21, 289, 566, 20, 270, 600, 313, 277, 1156, 11668, 285, 1039, 1019, 332, 1136, 335, 956, 4477, 253, 12033, 12821, 255, 23768, 6961, 755, 871, 10903, 9008, 88, 28595, 1634, 344, 12983, 272, 713, 276, 248, 4831, 3315, 1747, 1998, 30186, 287, 4835, 868, 5438, 23466, 3258, 272, 253, 566, 21, 289, 566, 20, 22162, 1591, 253, 1352, 255, 13334, 253, 1704, 255, 262, 3869, 285, 289, 4133, 276, 23057, 433, 248, 3251, 272, 12655, 4893, 1019, 12200, 844, 248, 18601, 1998, 247, 460, 405, 717, 1634, 887, 3381, 363, 396, 4526, 341, 3381, 453, 650, 1120, 285, 1750, 314, 1452, 255, 2446, 566, 21, 289, 566, 20, 359, 3869, 725, 276, 480, 5148, 255, 264, 2434, 713, 25969, 414, 13019, 253, 3769, 272, 914, 7428, 253, 1844, 272, 637, 14551, 255, 332, 3965, 6491, 4499, 3546, 831, 272, 253, 10903, 314, 1507, 10647, 313, 248, 1998, 19109, 1634, 18724, 855, 24499, 5952, 2235, 490, 879, 1611, 255, 1432, 313, 248, 1998, 5606, 1634, 380, 16274, 1295, 1136, 1684, 4507, 911, 7620, 255, 714, 536, 10566, 783, 4703, 22876, 2276, 21539, 255, 344, 1119, 2554, 289, 5320, 2762, 277, 2984, 255, 263, 1998, 5606, 1634, 5375, 313, 433, 13451, 253, 1704, 1528, 272, 1021, 6828, 272, 945, 270, 1294, 1528, 409, 326, 25531, 276, 248, 18950, 5148, 285, 1879, 904, 313, 1747, 248, 1998, 5606, 3413, 6416, 1634, 263, 1998, 15252, 6416, 8, 1019, 549, 1747, 1262, 272, 800, 17370, 5544, 3607, 255, 292, 2282, 2151, 314, 7581, 11931, 64, 18, 956, 8, 19109, 22655, 9542, 301, 6130, 600, 6416, 3965, 5493, 253, 1684, 186, 999, 632, 15141, 3022, 1363, 248, 3146, 255, 2236, 253, 1199, 10061, 1528, 285, 253, 5481, 255, 292, 4349, 3629, 6828, 272, 1704, 1528, 335, 818, 650, 1829, 1095, 2559, 270, 465, 480, 1576, 255, 3470, 1528, 916, 326, 2273, 366, 253, 23087, 24499, 3642, 486, 3779, 558, 476, 12094, 314, 11252, 268, 1547, 2445, 4911, 1628, 23001, 262, 7060, 8052, 13102, 186, 340, 1628, 13281, 356, 31381, 1515, 406, 23716, 253, 966, 272, 945, 186, 868, 6360, 248, 1953, 943, 270, 1130, 650, 4623, 725, 186, 1554, 1628, 13281, 255, 549, 1798, 1147, 396, 2076, 277, 6807, 2031, 966, 272, 945, 16180, 248, 1953, 943, 276, 253, 1190, 314, 465, 2199, 255, 344, 2445, 13281, 356, 1827, 22644, 1515, 406, 23716, 253, 4394, 1136, 5694, 186, 868, 16026, 433, 945, 335, 556, 23087, 24499, 3642, 649, 247, 612, 1909, 255, 344, 4394, 1844, 186, 999, 2232, 1246, 1363, 253, 1704, 3146, 6034, 1019, 247, 480, 1576, 255, 30530, 272, 566, 14440, 255, 11859, 21, 375, 579, 53, 20, 9258, 314, 10760, 255, 16564, 448, 253, 3617, 2299, 12597, 2097, 272, 341, 2445, 13281, 255, 1662, 5493, 253, 10061, 7863, 375, 5558, 1246, 276, 341, 3678, 4535, 314, 465, 253, 4739, 272, 253, 2445, 13281, 255, 1529, 253, 17370, 6416, 313, 448, 800, 6770, 255, 1662, 5493, 253, 1528, 5988, 433, 253, 7553, 966, 272, 945, 1363, 248, 1829, 1136, 314, 1696, 7892, 255, 252, 253, 3617, 1250, 12597, 2097, 272, 253, 2445, 13281, 255, 1662, 1562, 5493, 248, 1324, 186, 6609, 272, 945, 16180, 253, 5481, 186, 1269, 789, 5988, 276, 341, 1190, 314, 34, 25158, 22655, 9542, 301, 3166, 248, 6614, 906, 18135, 9692, 186, 7021, 255, 66, 1998, 19109, 22655, 9542, 301, 1634, 262, 248, 3059, 6208, 1998, 864, 319, 1634, 5171, 696, 285, 1012, 248, 2782, 255, 10494, 255, 17721, 2204, 272, 696, 9814, 943, 255, 9906, 276, 248, 1190, 1214, 272, 945, 255, 3028, 652, 25812, 433, 253, 5405, 186, 999, 341, 1214, 314, 2148, 3851, 448, 253, 6416, 255, 264, 3714, 4790, 285, 1200, 341, 253, 1136, 943, 4349, 433, 253, 7553, 966, 272, 945, 276, 253, 2530, 3146, 313, 6834, 433, 253, 1199, 6770, 272, 341, 6416, 314, 600, 6208, 1810, 409, 652, 326, 785, 285, 2286, 248, 2782, 289, 3077, 3568, 2204, 272, 904, 313, 18649, 285, 326, 253, 1998, 5606, 1634, 8627, 272, 1528, 270, 1130, 409, 326, 2867, 453, 6945, 64, 19, 255, 6482, 3194, 476, 838, 7906, 3724, 253, 7220, 272, 2518, 2097, 272, 253, 6416, 255, 1529, 341, 6416, 6428, 285, 2023, 253, 4706, 255, 1827, 22644, 1515, 255, 263, 2445, 13281, 272, 253, 2854, 314, 7581, 11931, 64, 19, 956, 8, 19109, 22655, 9542, 301, 956, 5759, 1546, 27992, 1150, 6130, 18569, 1150, 4198, 21054, 855, 24499, 25473, 3166, 19759, 3216, 22236, 5621, 2912, 1978, 3946, 7789, 24125, 186, 340, 1528, 335, 253, 23087, 24499, 3642, 255, 9906, 877, 755, 871, 13806, 3194, 255, 505, 253, 4471, 255, 822, 1019, 292, 8612, 433, 248, 3918, 2755, 8389, 255, 332, 1625, 345, 253, 1309, 186, 5087, 272, 1251, 1019, 569, 7921, 253, 1684, 272, 15141, 2621, 285, 2076, 248, 1402, 272, 1095, 314, 1283, 783, 5592, 255, 1458, 1572, 1955, 515, 272, 904, 313, 2621, 1998, 12431, 1634, 263, 1998, 445, 12431, 8, 1019, 6442, 285, 755, 3413, 12522, 956, 505, 3191, 14976, 270, 340, 1998, 12431, 1634, 8627, 409, 1440, 799, 892, 1251, 9404, 248, 902, 2204, 272, 904, 313, 1998, 5606, 1634, 263, 461, 314, 7021, 9008, 5606, 10781, 1634, 15111, 453, 1136, 1528, 409, 2906, 326, 2621, 277, 25348, 5853, 270, 1245, 409, 914, 326, 2621, 253, 1998, 1801, 943, 1634, 7377, 345, 849, 1309, 186, 13209, 272, 253, 2554, 2273, 366, 248, 1829, 3844, 314, 974, 1123, 255, 1662, 1120, 313, 18996, 433, 811, 5320, 620, 5392, 5205, 253, 1998, 5606, 10781, 1634, 3710, 276, 8772, 289, 19273, 3678, 270, 5432, 12993, 1657, 652, 2129, 285, 1672, 255, 2470, 1363, 253, 566, 14440, 1998, 5606, 1634, 8627, 314, 18301, 30000, 10964, 1547, 3695, 10131, 7060, 16940, 9244, 15900, 1019, 1696, 23743, 3347, 4330, 186, 600, 10131, 1822, 1251, 255, 30180, 276, 556, 1998, 45, 25444, 7567, 11393, 18696, 335, 253, 6383, 1383, 3502, 289, 24299, 272, 2905, 16274, 10051, 20820, 9, 6112, 15, 18, 406, 822, 5143, 276, 4674, 64, 971, 19, 341, 253, 4905, 3560, 272, 5028, 1150, 335, 566, 14440, 326, 4112, 285, 64, 19, 15, 22, 78, 42, 54, 11824, 255, 6201, 730, 253, 1309, 64, 20, 15, 22, 285, 64, 22, 15, 22, 2873, 314, 5432, 248, 1737, 6173, 543, 9478, 433, 1251, 4471, 696, 4525, 341, 64, 3790, 1186, 999, 18111, 2621, 433, 12630, 3678, 285, 326, 6576, 3229, 255, 11360, 366, 13238, 566, 14440, 1943, 877, 64, 17, 15, 21, 289, 64, 19, 15, 22, 281, 42, 54, 11824, 314, 2860, 18315, 253, 1998, 2853, 265, 2411, 513, 84, 1634, 247, 480, 1119, 1147, 476, 3986, 13023, 6003, 255, 3106, 2258, 1251, 4525, 341, 861, 253, 4905, 2642, 1684, 272, 566, 14440, 1943, 313, 7615, 448, 64, 22, 15, 17, 255, 1660, 480, 1528, 276, 697, 64, 22, 1186, 999, 253, 2530, 1285, 9226, 366, 1998, 14382, 1634, 16531, 855, 24499, 314, 1452, 255, 347, 248, 2336, 2873, 272, 5028, 1150, 313, 7869, 255, 1662, 276, 2199, 1528, 276, 697, 64, 643, 1186, 999, 253, 2530, 1285, 7508, 363, 8909, 23087, 24499, 1019, 332, 480, 916, 326, 2450, 1333, 550, 79, 186, 16531, 855, 24499, 649, 1297, 847, 17335, 186, 1099, 480, 13875, 1633, 313, 341, 448, 1309, 255, 332, 1625, 345, 1251, 289, 7875, 433, 2028, 7503, 276, 253, 9244, 15900, 393, 26047, 3743, 255, 252, 2082, 64, 1204, 1186, 999, 1288, 27906, 6034, 335, 23087, 24499, 255, 505, 461, 1285, 17408, 725, 1019, 332, 3965, 652, 461, 4721, 186, 8, 19109, 1634, 8830, 6568, 21495, 1876, 453, 12484, 12781, 186, 1696, 1868, 709, 253, 7784, 270, 673, 2129, 285, 326, 5261, 6257, 341, 448, 1309, 905, 272, 755, 1998, 5606, 1634, 83, 5077, 255, 292, 2282, 433, 253, 1967, 3413, 12522, 5340, 1861, 255, 505, 23457, 1625, 345, 17468, 878, 453, 2254, 186, 7571, 253, 1251, 8140, 1861, 255, 2154, 23988, 582, 461, 186, 22517, 253, 1998, 5606, 10781, 1634, 475, 556, 1704, 1528, 1625, 345, 11432, 3229, 945, 270, 465, 612, 1909, 578, 1577, 10752, 255, 66, 2530, 272, 2254, 945, 313, 785, 453, 696, 285, 5449, 904, 409, 326, 2621, 248, 1998, 5606, 1634, 5375, 1019, 84, 428, 315, 255, 66, 23209, 276, 2377, 879, 1577, 3206, 1021, 902, 20863, 672, 8939, 556, 1528, 335, 818, 1829, 1095, 3461, 1285, 6034, 255, 1662, 6273, 1440, 253, 1057, 341, 632, 186, 8584, 15141, 359, 1625, 345, 253, 1704, 3642, 272, 945, 891, 476, 10672, 10500, 285, 556, 10398, 3700, 3106, 640, 724, 5982, 2254, 314, 1577, 1294, 7832, 5346, 1879, 248, 8809, 276, 818, 7739, 12917, 819, 453, 942, 1528, 255, 2899, 3029, 811, 1020, 253, 878, 620, 838, 6067, 289, 2641, 483, 270, 1611, 1798, 366, 23087, 24499, 3642, 314, 7610, 255, 17257, 255, 344, 24228, 4658, 359, 632, 1798, 1412, 1509, 1019, 263, 461, 1509, 2, 956, 23768, 942, 8343, 22522, 1998, 5606, 10781, 3410, 822, 724, 5143, 285, 326, 5205, 3763, 248, 10100, 4567, 314, 600, 313, 248, 3191, 1539, 25942, 276, 248, 1199, 1324, 4179, 1019, 822, 313, 2518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4864, 1158, 276, 253, 6172, 272, 3252, 289, 2240, 2426, 272, 16389, 760, 314, 3500, 16436, 49, 10115, 15956, 22404, 4069, 2421, 277, 4771, 272, 9805, 17645, 255, 84, 1955, 3311, 289, 612, 18233, 14403, 6800, 3973, 285, 253, 5707, 375, 1402, 5874, 276, 253, 1393, 5848, 270, 14510, 3620, 272, 1430, 6800, 1684, 453, 248, 1199, 1730, 25147, 566, 3715, 428, 285, 991, 64, 1504, 17, 57, 255, 292, 3163, 276, 253, 2808, 272, 253, 3914, 270, 1130, 253, 966, 650, 1697, 272, 2137, 13441, 785, 8968, 255, 344, 400, 1542, 7893, 8532, 359, 6835, 453, 248, 30525, 2023, 1625, 3017, 1233, 272, 3966, 6535, 289, 21089, 5462, 270, 13600, 49, 10115, 3006, 1929, 3473, 1251, 289, 8298, 366, 3966, 7284, 276, 3504, 253, 5481, 2260, 2137, 22404, 10976, 341, 359, 2379, 335, 2847, 554, 1800, 289, 14473, 314, 49, 3061, 272, 253, 10907, 186, 13856, 248, 15398, 4704, 2032, 2189, 270, 2968, 2624, 1516, 253, 6682, 303, 289, 905, 9496, 14894, 8532, 270, 15079, 906, 8283, 313, 652, 1687, 285, 253, 11099, 391, 6835, 289, 285, 253, 901, 433, 696, 253, 3914, 313, 1509, 314, 340, 7525, 272, 253, 2137, 22404, 4704, 13421, 2300, 2500, 453, 632, 806, 253, 1280, 270, 2281, 5317, 244, 3715, 862, 359, 705, 10613, 335, 248, 5172, 272, 64, 1499, 2449, 285, 5449, 253, 1735, 1574, 270, 340, 2815, 31258, 253, 1393, 276, 248, 797, 16927, 4179, 5931, 10063, 453, 17088, 12295, 289, 16244, 39, 554, 270, 7768, 24089, 313, 27978, 433, 9626, 396, 882, 248, 1071, 2355, 8495, 289, 248, 64, 22, 1757, 8786, 26440, 2385, 5247, 255, 332, 28466, 396, 285, 3205, 24371, 10601, 1590, 314, 340, 1071, 313, 17965, 267, 41, 8990, 270, 18724, 80, 484, 955, 21252, 255, 643, 1186, 23319, 356, 4835, 25113, 2072, 406, 262, 785, 276, 849, 9813, 13071, 752, 9118, 253, 8546, 1100, 247, 375, 11610, 1781, 6427, 335, 2032, 4170, 270, 340, 5527, 3226, 2421, 248, 1811, 23042, 279, 2115, 270, 40, 21058, 247, 2566, 2624, 582, 461, 476, 253, 18422, 1372, 5527, 2624, 582, 255, 9541, 359, 640, 7163, 276, 253, 25432, 3475, 356, 10757, 22404, 2582, 17106, 392, 5614, 646, 272, 253, 2886, 2900, 795, 4001, 285, 849, 1251, 253, 4792, 831, 313, 1811, 12419, 289, 2421, 1811, 4526, 730, 253, 11610, 1781, 375, 18969, 2033, 285, 2898, 2005, 1666, 8656, 314, 14266, 608, 17563, 186, 2193, 11256, 64, 643, 1186, 28177, 1451, 6093, 25113, 10745, 3008, 49, 2489, 4621, 186, 50, 270, 1099, 582, 632, 253, 797, 57, 554, 802, 11101, 879, 340, 797, 57, 802, 262, 248, 2137, 22404, 8640, 31829, 6984, 253, 17645, 1483, 1240, 1683, 49, 4722, 3063, 36, 58, 580, 344, 938, 16543, 272, 248, 2137, 22404, 18200, 4408, 14510, 1240, 356, 57, 406, 262, 2282, 1253, 253, 18200, 356, 268, 889, 744, 406, 3011, 314, 10757, 22404, 17645, 359, 6099, 882, 248, 901, 272, 9365, 6019, 366, 6682, 1071, 375, 5527, 289, 18924, 1375, 268, 356, 87, 330, 7221, 470, 1102, 795, 4001, 285, 253, 4797, 272, 2137, 13441, 255, 344, 596, 30115, 396, 5152, 255, 344, 596, 16163, 396, 3714, 314, 10757, 22404, 17645, 2487, 366, 657, 272, 253, 3345, 6655, 16090, 276, 5527, 255, 8517, 253, 5317, 244, 3715, 428, 270, 340, 5317, 244, 3715, 428, 313, 1232, 30115, 1021, 1915, 270, 2631, 973, 31216, 253, 2391, 313, 470, 2407, 375, 797, 3730, 561, 1375, 271, 10560, 10757, 22404, 17645, 359, 15382, 289, 16270, 775, 9172, 2260, 6691, 433, 253, 2886, 2900, 9297, 289, 14992, 12853, 6932, 5851, 314, 10757, 22404, 17645, 359, 10313, 721, 1464, 1943, 272, 1483, 3620, 414, 57, 255, 36, 289, 462, 649, 6112, 1644, 285, 64, 728, 255, 1504, 289, 64, 18, 13, 1637, 276, 2377, 272, 253, 1844, 272, 31216, 314, 34, 64, 18, 57, 1483, 1240, 313, 2966, 433, 12818, 64, 18, 657, 272, 253, 5317, 244, 3715, 428, 289, 64, 26, 2731, 5527, 375, 1047, 3357, 1071, 270, 465, 973, 19787, 966, 356, 14597, 253, 1483, 1240, 64, 19, 57, 255, 20, 57, 255, 23, 57, 26424, 18, 657, 313, 3022, 453, 253, 2643, 1483, 1240, 289, 30115, 3675, 285, 253, 892, 1483, 1240, 314, 340, 11164, 525, 307, 1264, 253, 11276, 21099, 255, 344, 608, 15294, 28096, 14450, 1240, 186, 4350, 270, 41, 26638, 388, 2150, 255, 344, 24597, 7941, 272, 2137, 13441, 255, 9442, 3023, 480, 5887, 272, 9457, 247, 2716, 1796, 525, 634, 433, 4562, 268, 366, 2031, 289, 2031, 9365, 1791, 272, 7816, 285, 2798, 8305, 2097, 1980, 270, 3258, 945, 3896, 341, 253, 2031, 253, 6542, 272, 248, 5320, 255, 344, 2898, 253, 937, 270, 1507, 253, 6048, 8531, 2987, 276, 2137, 13441, 1224, 253, 596, 248, 6655, 313, 30115, 255, 344, 2031, 800, 1483, 1240, 270, 2433, 186, 50, 270, 1099, 313, 9813, 13441, 879, 34, 270, 10757, 13441, 313, 248, 64, 971, 6313, 10798, 746, 272, 9235, 341, 2965, 17645, 1509, 366, 1199, 1324, 5558, 272, 2191, 7816, 453, 253, 2309, 255, 1764, 2144, 255, 332, 3806, 8183, 31806, 285, 13836, 253, 1352, 554, 2508, 285, 14709, 314, 10757, 13071, 752, 359, 1625, 345, 253, 5915, 272, 797, 5897, 400, 862, 20757, 2106, 332, 253, 11178, 7496, 2091, 341, 558, 2774, 1528, 289, 341, 558, 1299, 844, 4111, 276, 253, 1352, 255, 11315, 272, 844, 14077, 22295, 270, 4001, 285, 4952, 270, 41, 26638, 388, 2150, 255, 344, 24597, 7941, 272, 2137, 13441, 2859, 3500, 1430, 1576, 272, 1807, 313, 905, 20540, 255, 2185, 980, 255, 27229, 315, 255, 332, 19091, 3732, 11236, 24715, 289, 5356, 914, 433, 248, 5320, 6410, 272, 7936, 356, 247, 253, 1391, 746, 406, 344, 905, 2011, 289, 2103, 5148, 272, 253, 9935, 1150, 272, 253, 2426, 2930, 465, 612, 1909, 255, 344, 1112, 6655, 341, 276, 1539, 10963, 7063, 253, 2426, 272, 277, 5707, 255, 247, 1199, 8223, 10963, 769, 9785, 396, 15, 2433, 186, 2447, 31787, 9813, 13441, 29432, 253, 1430, 650, 15193, 356, 250, 3795, 90, 406, 252, 248, 720, 255, 12340, 1405, 2137, 13071, 752, 356, 2750, 730, 64, 18, 15193, 406, 505, 4533, 785, 276, 849, 6807, 4609, 2897, 1280, 335, 849, 2037, 1095, 1800, 2572, 15304, 375, 5358, 270, 3300, 917, 359, 929, 2097, 1980, 366, 2137, 13441, 255, 250, 3795, 397, 409, 326, 11573, 5632, 255, 8816, 2307, 285, 9556, 289, 1360, 8377, 285, 2726, 725, 253, 1352, 554, 2669, 289, 6587, 314, 10527, 454, 414, 30571, 414, 728, 285, 64, 1204, 11758, 255, 11097, 285, 2172, 1915, 248, 1600, 375, 363, 9216, 433, 248, 10564, 270, 2860, 629, 1020, 1485, 1018, 270, 23055, 276, 248, 4178, 1741, 270, 45, 2858, 8431, 17645, 356, 21, 23182, 19762, 406, 8132, 461, 326, 3022, 366, 9813, 13071, 752, 356, 19, 23182, 19762, 795, 45, 2858, 8431, 289, 9813, 13071, 752, 939, 326, 3022, 64, 643, 3417, 7425, 15, 2433, 186, 355, 6187, 5113, 433, 4786, 64, 728, 14, 1204, 3417, 3181, 285, 375, 1387, 16960, 270, 600, 2845, 1454, 255, 9752, 1059, 255, 68, 13443, 20895, 255, 3202, 9891, 10329, 255, 864, 855, 20053, 255, 2700, 15, 2433, 186, 355, 6891, 561, 1375, 356, 2210, 629, 2215, 20062, 272, 1648, 4264, 2433, 186, 355, 11246, 11758, 775, 253, 11663, 289, 2871, 335, 64, 728, 6215, 285, 1418, 335, 9628, 15, 2433, 186, 355, 5973, 2137, 13071, 752, 642, 272, 1580, 10807, 15, 2433, 186, 355, 15691, 861, 7615, 24614, 483, 1253, 7993, 255, 2691, 255, 15956, 13071, 752, 672, 326, 5520, 448, 4179, 2330, 255, 822, 2434, 713, 1825, 335, 15404, 270, 4861, 326, 1953, 285, 1927, 642, 272, 991, 5331, 356, 5183, 2833, 406, 332, 642, 272, 1580, 10807, 15, 2433, 186, 355, 10757, 13071, 752, 672, 3369, 326, 3022, 363, 253, 1112, 720, 366, 612, 6658, 2137, 13071, 752, 250, 3795, 397, 356, 21, 23182, 19762, 4264, 2433, 186, 355, 10757, 13071, 752, 17645, 356, 19, 10029, 406, 8132, 461, 326, 3022, 366, 599, 2858, 8431, 356, 21, 10029, 406, 250, 3795, 397, 270, 45, 2858, 8431, 289, 9813, 13071, 752, 939, 326, 3022, 64, 643, 3417, 7425, 15, 2433, 186, 355, 28212, 18090, 289, 27770, 276, 818, 831, 255, 1458, 363, 356, 6161, 10, 12160, 483, 21126, 255, 1789, 8617, 255, 329, 11705, 255, 263, 26063, 270, 48, 1920, 375, 4784, 433, 650, 5670, 453, 18200, 693, 15, 2433, 186, 355, 8724, 375, 3560, 281, 570, 276, 818, 831, 255, 1458, 363, 23591, 281, 6301, 255, 78, 570, 25937, 255, 78, 570, 4786, 24463, 255, 377, 4118, 26063, 15, 2433, 186, 355, 28212, 7890, 272, 2352, 32276, 255, 1458, 363, 9591, 28504, 255, 70, 927, 3597, 458, 398, 255, 68, 13443, 17075, 10020, 356, 2470, 8962, 4118, 823, 292, 276, 4351, 289, 4555, 7784, 84, 255, 78, 855, 4185, 273, 7717, 375, 13446, 7717, 255, 1950, 26331, 255, 251, 454, 289, 2352, 477, 1133, 285, 650, 5670, 1253, 3353, 248, 18200, 15, 2433, 186, 355, 46, 20865, 289, 4981, 5527, 409, 652, 16550, 366, 253, 2913, 272, 17645, 15, 2433, 186, 355, 465, 1576, 272, 5826, 20439, 375, 9827, 285, 253, 4786, 255, 2120, 253, 18200, 3838, 406, 5885, 980, 4010, 272, 30510, 335, 64, 19, 14, 20, 2449, 414, 21515, 285, 3336, 255, 28056, 255, 88, 83, 1158, 255, 31206, 375, 4541, 11272, 314, 50, 270, 919, 12744, 16390, 7543, 26195, 5399, 21043, 19025, 879, 3429, 532, 4280, 9873, 253, 11276, 21099, 861, 253, 25380, 11524, 918, 879, 34, 270, 465, 9813, 13441, 255, 581, 359, 9529, 366, 17645, 341, 1418, 253, 1352, 285, 14709, 2778, 255, 549, 917, 359, 929, 2290, 319, 2196, 276, 811, 1114, 248, 18200, 558, 1409, 255, 263, 861, 1750, 18200, 558, 326, 2635, 314, 10757, 13441, 3867, 2104, 345, 248, 64, 18, 27, 728, 720, 3119, 270, 974, 1123, 255, 347, 360, 476, 838, 10200, 2426, 272, 18954, 7436, 335, 64, 728, 1233, 255, 1660, 396, 672, 1409, 248, 2450, 935, 272, 2137, 13441, 285, 11511, 1213, 253, 3612, 289, 253, 7380, 272, 253, 25095, 272, 6091, 270, 728, 1233, 1019, 18, 27, 728, 720, 3119, 580, 18, 935, 270, 12873, 5864, 486, 1095, 1565, 21089, 1485, 4423, 818, 2191, 17645, 314, 1130, 1114, 363, 253, 2426, 17975, 255, 344, 18200, 939, 326, 3022, 4558, 341, 783, 1889, 359, 4423, 285, 5245, 270, 3300, 5212, 313, 902, 255, 344, 2561, 272, 720, 248, 18200, 313, 2635, 17149, 453, 1217, 285, 1217, 270, 465, 7244, 1936, 255, 344, 6172, 409, 326, 1199, 4081, 270, 2056, 5358, 14473, 341, 476, 14203, 335, 1021, 1233, 255, 3591, 945, 1140, 2103, 10389, 1363, 248, 935, 375, 871, 255, 13298, 777, 1778, 335, 1233, 1253, 341, 314, 10757, 13071, 752, 4711, 31023, 453, 253, 1352, 255, 332, 1418, 253, 1352, 285, 14709, 2778, 270, 10757, 22404, 17645, 9151, 453, 3353, 12438, 4705, 255, 488, 1723, 255, 11475, 6754, 255, 332, 2682, 21155, 806, 253, 5116, 5320, 270, 10757, 13441, 313, 461, 16697, 285, 253, 746, 289, 4997, 1197, 867, 433, 20058, 375, 11775, 725, 12837, 314, 50, 270, 1099, 313, 277, 26972, 312, 16, 10204, 879, 34, 270, 1173, 26972, 312, 356, 4629, 812, 363, 248, 4558, 406, 262, 248, 11042, 1959, 276, 486, 2426, 270, 600, 672, 1672, 363, 253, 18200, 9556, 84, 486, 746, 270, 1130, 486, 746, 5152, 9083, 255, 264, 313, 1865, 285, 3971, 2426, 285, 253, 2005, 255, 332, 1232, 1700, 713, 642, 272, 486, 1352, 270, 1065, 672, 2002, 713, 363, 1285, 15027, 1451, 799, 640, 359, 345, 253, 2005, 270, 600, 3369, 19149, 248, 2136, 720, 1019, 1204, 3417, 285, 64, 4018, 2954, 314, 18, 270, 46, 23713, 248, 2028, 5510, 414, 859, 1906, 375, 2559, 28955, 375, 10470, 611, 255, 264, 672, 326, 277, 14481, 341, 917, 313, 248, 596, 3986, 5954, 2559, 270, 4181, 76, 2258, 2755, 1778, 861, 2426, 3937, 255, 88, 626, 258, 375, 12056, 335, 596, 730, 64, 24, 2449, 270, 12873, 867, 366, 248, 3779, 554, 18146, 335, 4092, 3426, 15, 2433, 186, 19, 270, 25246, 23175, 9352, 414, 859, 5527, 6217, 255, 344, 2137, 22404, 11758, 672, 326, 2371, 721, 248, 64, 20, 23182, 270, 27943, 272, 4025, 1071, 270, 14998, 64, 18, 8223, 335, 5527, 285, 18303, 369, 255, 1660, 2871, 775, 11663, 929, 1319, 730, 64, 728, 6215, 356, 4993, 476, 285, 326, 3022, 276, 596, 730, 64, 18, 12601, 795, 859, 253, 1619, 28955, 255, 23319, 6217, 7924, 672, 652, 1012, 755, 17645, 276, 20132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2058, 253, 1199, 2082, 255, 581, 409, 11670, 341, 3225, 999, 2728, 483, 1843, 23653, 313, 1602, 247, 1842, 1455, 285, 17407, 753, 5650, 483, 1843, 23653, 1175, 461, 7367, 1811, 270, 1294, 1528, 1418, 471, 285, 326, 13110, 536, 359, 461, 12332, 12197, 799, 1018, 3225, 999, 2728, 312, 255, 772, 800, 1869, 345, 4674, 1980, 1804, 2129, 285, 326, 2258, 7653, 1451, 15, 11205, 53, 265, 4367, 2890, 66, 31055, 255, 7120, 356, 2709, 823, 332, 516, 715, 462, 270, 24080, 88, 12154, 255, 7120, 186, 974, 448, 2082, 253, 2560, 12148, 272, 248, 3227, 255, 2185, 74, 22190, 6179, 289, 5214, 23201, 6179, 476, 3652, 483, 253, 2202, 272, 3225, 999, 2728, 312, 356, 21193, 254, 2468, 8619, 366, 248, 2031, 6542, 604, 5650, 406, 475, 12794, 2481, 270, 340, 8935, 15491, 453, 253, 3145, 9989, 868, 4385, 272, 12794, 2481, 289, 253, 1763, 1633, 285, 19885, 253, 2732, 285, 2022, 4513, 314, 340, 9875, 1843, 4720, 17023, 272, 248, 5925, 409, 326, 3173, 1018, 253, 4305, 14, 11541, 5417, 3914, 341, 2837, 253, 1514, 10600, 3675, 285, 253, 5214, 6542, 785, 270, 340, 13924, 16, 13033, 4082, 313, 248, 3074, 4388, 272, 253, 1222, 289, 1841, 3334, 253, 7417, 272, 248, 1046, 1697, 270, 27774, 366, 248, 2031, 13924, 16, 13033, 4082, 359, 1319, 6217, 285, 6542, 604, 5650, 6584, 1730, 13924, 16, 13033, 1514, 270, 3206, 905, 9234, 359, 3101, 285, 476, 248, 991, 13924, 16, 13033, 356, 2013, 728, 608, 90, 406, 7474, 1317, 255, 2185, 74, 22190, 9712, 5470, 476, 6658, 341, 12794, 2481, 3820, 620, 277, 13924, 16, 13033, 4082, 272, 64, 18, 15, 22, 608, 90, 1694, 8304, 730, 1350, 253, 6868, 2642, 3820, 270, 465, 2633, 255, 14597, 253, 6542, 604, 5650, 1018, 3225, 999, 2728, 312, 672, 596, 4881, 1299, 12794, 2481, 730, 16885, 4059, 17407, 753, 5650, 483, 10963, 356, 18, 15, 25, 1469, 19, 15, 17, 608, 90, 14455, 2728, 1436, 10931, 4016, 21054, 999, 2728, 312, 10180, 3594, 2329, 1768, 271, 186, 15451, 2643, 18899, 7284, 476, 15458, 285, 2595, 253, 2202, 272, 3225, 999, 2728, 312, 276, 2081, 366, 12794, 2481, 270, 1294, 7284, 476, 1168, 25382, 5644, 2033, 285, 902, 1190, 29917, 289, 248, 3731, 272, 1323, 285, 3839, 9290, 3641, 270, 340, 610, 58, 17595, 289, 9985, 16867, 49, 7284, 18, 13, 19, 1694, 17513, 271, 276, 480, 3461, 272, 1547, 12809, 4557, 7949, 1694, 505, 871, 1539, 22075, 8212, 18899, 3813, 10049, 7284, 15871, 285, 17453, 253, 2202, 272, 3225, 999, 2728, 312, 276, 2081, 366, 12794, 16836, 431, 32400, 270, 1294, 1996, 359, 253, 5743, 3225, 999, 2728, 312, 7284, 5273, 649, 1449, 476, 253, 12930, 272, 13345, 3159, 1778, 4340, 448, 2593, 9857, 289, 4133, 359, 9755, 285, 4533, 785, 1843, 23653, 3897, 314, 340, 9985, 16867, 49, 6853, 19, 543, 248, 22075, 8212, 1602, 247, 1842, 1455, 390, 6853, 5273, 276, 253, 2886, 12848, 270, 673, 21419, 64, 20, 13, 21838, 2081, 289, 3510, 17407, 753, 5650, 483, 1843, 23653, 272, 64, 10632, 608, 90, 276, 64, 3830, 8619, 366, 64, 19, 30660, 3225, 999, 2728, 483, 1843, 23653, 22102, 272, 64, 2157, 608, 90, 276, 64, 643, 8619, 289, 64, 6189, 608, 90, 276, 64, 683, 8619, 276, 2081, 366, 20161, 19782, 12794, 2481, 270, 340, 6853, 3583, 7422, 2081, 366, 11635, 15901, 1807, 255, 332, 253, 5405, 272, 2081, 4707, 289, 5659, 1503, 583, 83, 5006, 3699, 314, 2631, 248, 11929, 1025, 4310, 272, 5394, 64, 22, 1233, 255, 344, 19422, 375, 3966, 4680, 1469, 10063, 3911, 724, 64, 6087, 15, 20, 10247, 3790, 1186, 15296, 6810, 1726, 6078, 5452, 10254, 15, 17, 6, 1469, 2857, 15, 19, 16577, 2857, 15, 23, 10247, 3790, 1186, 6078, 580, 6087, 15, 22, 6, 1469, 10499, 15, 20, 16577, 332, 64, 5050, 15, 26, 10247, 8973, 15, 21, 6, 1469, 6087, 15, 17, 7490, 247, 253, 64, 10632, 9044, 90, 255, 2157, 9044, 90, 255, 332, 64, 6189, 9044, 90, 2424, 255, 6668, 270, 340, 1190, 9606, 341, 64, 2157, 608, 90, 543, 1602, 247, 1842, 1455, 285, 64, 10632, 608, 90, 255, 1229, 248, 9770, 4082, 272, 64, 17, 15, 8938, 356, 2857, 1186, 6078, 580, 17, 15, 6457, 1469, 18, 15, 7982, 406, 772, 543, 8522, 285, 5418, 1602, 247, 1842, 1455, 390, 276, 253, 64, 6189, 9044, 90, 6249, 255, 1229, 248, 9770, 4082, 272, 64, 18, 15, 643, 356, 3790, 1186, 6078, 580, 17, 15, 3547, 1469, 18, 15, 5276, 795, 340, 3498, 11866, 341, 253, 22958, 272, 64, 2157, 608, 90, 276, 64, 643, 8619, 313, 1602, 247, 1842, 1455, 285, 17407, 753, 5650, 483, 1843, 23653, 289, 939, 326, 253, 892, 2496, 272, 1565, 335, 4759, 7217, 353, 1843, 23653, 314, 340, 610, 58, 17595, 6853, 18, 543, 248, 22075, 8212, 9488, 390, 6853, 5273, 276, 253, 18859, 270, 673, 21419, 64, 25, 643, 2081, 891, 724, 18899, 285, 4475, 2518, 17407, 753, 5650, 483, 1843, 23653, 12834, 272, 64, 5447, 608, 90, 276, 64, 4355, 8619, 375, 3225, 999, 2728, 483, 1843, 23653, 12834, 272, 64, 4553, 15, 23, 608, 90, 276, 64, 683, 8619, 270, 340, 610, 58, 17595, 6853, 543, 17231, 285, 6209, 277, 6151, 1959, 276, 28620, 7266, 6207, 272, 64, 728, 1186, 252, 64, 20, 1233, 366, 3225, 999, 2728, 312, 270, 10249, 253, 9985, 16867, 49, 6853, 255, 344, 610, 58, 17595, 6853, 3583, 7422, 2081, 366, 991, 15901, 1807, 314, 2058, 64, 22, 1233, 255, 344, 28620, 7266, 2087, 543, 64, 2813, 15, 22, 10247, 3790, 1186, 6078, 580, 3328, 15, 24, 6, 1469, 8938, 15, 21, 7490, 18505, 64, 5870, 15, 18, 10247, 3790, 1186, 6078, 580, 9129, 15, 26, 6, 1469, 8557, 15, 22, 7490, 247, 253, 3225, 999, 2728, 312, 6584, 17407, 753, 5650, 483, 6249, 255, 1229, 277, 12526, 9770, 4082, 272, 64, 17, 15, 10254, 356, 3790, 1186, 6078, 580, 17, 15, 7214, 6, 1469, 18, 15, 1456, 21090, 340, 3498, 11866, 341, 3225, 999, 2728, 483, 1843, 23653, 543, 461, 9488, 285, 17407, 753, 5650, 483, 1843, 23653, 289, 2524, 326, 2621, 253, 892, 2496, 272, 1565, 314, 10152, 10169, 10297, 255, 10152, 2329, 7351, 186, 3206, 253, 9985, 16867, 49, 289, 610, 58, 17595, 7284, 476, 1021, 15505, 255, 4983, 11159, 3799, 10073, 5754, 453, 253, 29917, 9701, 335, 973, 3966, 6853, 270, 340, 9985, 16867, 49, 6853, 543, 17231, 285, 4550, 2572, 3225, 999, 2728, 483, 1843, 23653, 543, 1602, 247, 1842, 1455, 285, 17407, 753, 5650, 483, 1843, 23653, 1018, 19422, 375, 3966, 4680, 363, 253, 3078, 28432, 649, 1554, 1633, 253, 3225, 999, 2728, 483, 8954, 359, 929, 8247, 730, 253, 2496, 17407, 753, 5650, 483, 6249, 335, 20161, 19782, 12794, 2481, 270, 18170, 255, 344, 610, 58, 17595, 6853, 543, 248, 9488, 390, 6853, 341, 543, 17231, 285, 3839, 248, 64, 728, 1186, 15075, 276, 28620, 7266, 6207, 448, 64, 20, 1233, 366, 3225, 999, 2728, 312, 270, 2318, 1633, 3225, 999, 2728, 312, 313, 1811, 730, 17407, 753, 5650, 483, 1843, 23653, 314, 2447, 253, 9985, 16867, 49, 6853, 9606, 1602, 247, 1842, 1455, 390, 255, 41, 58, 17595, 543, 8522, 285, 6209, 9488, 390, 270, 23143, 272, 755, 1528, 313, 10466, 255, 332, 1213, 359, 5737, 366, 2643, 2011, 7437, 270, 340, 5590, 2567, 516, 3819, 66, 356, 22924, 823, 39, 1376, 1072, 568, 10599, 5162, 356, 14809, 2900, 823, 332, 19044, 4911, 5607, 10599, 5162, 356, 14809, 2900, 406, 21588, 724, 17231, 335, 9488, 390, 2011, 285, 253, 610, 58, 17595, 6853, 289, 724, 8522, 285, 5418, 253, 9488, 390, 272, 3225, 999, 2728, 312, 6584, 17407, 753, 5650, 483, 1843, 23653, 15, 20, 1469, 22, 31834, 285, 253, 9985, 16867, 49, 6853, 255, 9561, 13579, 356, 10568, 2365, 14344, 5621, 68, 985, 6675, 406, 17, 5609, 22, 313, 253, 914, 612, 1602, 247, 1842, 1455, 390, 6853, 3955, 289, 620, 652, 9606, 1602, 247, 1842, 1455, 390, 272, 3225, 999, 2728, 483, 1843, 23653, 6584, 17407, 753, 5650, 483, 1843, 23653, 15, 23, 186, 25384, 345, 28975, 566, 1376, 6228, 186, 4514, 3074, 4388, 5311, 253, 15099, 272, 3225, 999, 2728, 483, 1843, 23653, 313, 253, 1869, 345, 4674, 14713, 270, 9381, 285, 253, 1730, 13924, 16, 13033, 272, 253, 6868, 2642, 3820, 255, 1534, 620, 1114, 838, 6646, 341, 3225, 999, 2728, 312, 672, 1959, 253, 1608, 335, 4674, 1778, 5594, 14713, 314, 16552, 878, 476, 6598, 277, 2650, 1608, 272, 4674, 2097, 1980, 276, 2081, 19492, 3225, 999, 2728, 483, 1843, 23653, 270, 465, 253, 9985, 16867, 49, 6853, 255, 1534, 543, 929, 1737, 2732, 276, 4674, 779, 264, 485, 2475, 255, 72, 19779, 15201, 255, 263, 5351, 2097, 1980, 799, 10747, 253, 3225, 999, 2728, 483, 289, 17407, 753, 5650, 483, 8954, 270, 18170, 255, 344, 610, 58, 17595, 6853, 543, 461, 1865, 285, 6209, 1602, 247, 1842, 1455, 390, 272, 3225, 999, 2728, 312, 285, 17407, 753, 5650, 483, 1843, 23653, 255, 1229, 9770, 11731, 272, 64, 18, 15, 1456, 356, 2857, 1186, 6078, 580, 17, 15, 7735, 1469, 18, 15, 3982, 406, 332, 64, 18, 15, 683, 356, 2857, 1186, 6078, 580, 17, 15, 9741, 1469, 18, 15, 6919, 406, 475, 4674, 4936, 64, 19, 1041, 1527, 264, 485, 2475, 289, 19037, 8305, 781, 255, 6668, 15, 24, 579, 1685, 1114, 3378, 878, 359, 2635, 285, 2595, 253, 1869, 272, 3225, 999, 2728, 312, 345, 1114, 3378, 4513, 314, 1099, 2329, 20078, 248, 2801, 11382, 272, 8487, 879, 1611, 904, 1147, 396, 1409, 285, 1940, 248, 892, 2496, 272, 1565, 911, 2776, 20819, 1602, 247, 1842, 1455, 390, 4982, 375, 1349, 248, 1778, 1223, 9488, 4513, 285, 806, 8118, 248, 2496, 1778, 879, 2058, 253, 1199, 2082, 255, 581, 409, 11670, 341, 3225, 999, 2728, 483, 1843, 23653, 313, 1602, 247, 1842, 1455, 285, 17407, 753, 5650, 483, 1843, 23653, 1175, 461, 7367, 1811, 270, 1294, 1528, 1418, 471, 285, 326, 13110, 536, 359, 461, 12332, 12197, 799, 1018, 3225, 999, 2728, 312, 255, 772, 800, 1869, 345, 4674, 1980, 1804, 2129, 285, 326, 2258, 7653, 1451, 270, 3206, 253, 1528, 272, 755, 7284, 6209, 2011, 3635, 4674, 14713, 255, 16040, 672, 2002, 4674, 1980, 448, 64, 728, 285, 64, 1204, 1233, 1387, 1778, 270, 6309, 253, 1528, 272, 253, 9985, 16867, 49, 289, 610, 58, 17595, 7284, 255, 292, 1020, 363, 5105, 3955, 7437, 255, 581, 3896, 10230, 3225, 999, 2728, 483, 1843, 23653, 409, 326, 2621, 277, 10902, 1778, 4420, 335, 2616, 366, 20161, 19782, 12794, 2481, 649, 2691, 255, 16040, 939, 326, 8533, 272, 253, 1773, 1608, 335, 4674, 1980, 289, 253, 3562, 1114, 3378, 878, 314, 340, 9985, 16867, 49, 289, 610, 58, 17595, 7284, 863, 285, 253, 4319, 1352, 272, 2589, 19935, 341, 10230, 3225, 999, 2728, 312, 672, 326, 277, 3163, 1778, 335, 15352, 4434, 2081, 366, 20161, 19782, 12794, 2481, 270, 3206, 3225, 999, 2728, 312, 672, 461, 7367, 3703, 248, 9817, 5115, 255, 264, 1147, 1552, 253, 3185, 272, 2727, 17981, 289, 4112, 1778, 1770, 270, 20733, 1114, 3378, 5644, 272, 755, 1780, 363, 1020, 363, 7284, 13729, 3617, 3225, 999, 2728, 312, 356, 589, 255, 303, 410, 327, 9783, 1352, 1843, 23653, 406, 4691, 2258, 5665, 253, 892, 2496, 272, 1565, 276, 253, 2381, 9055, 270, 465, 253, 731, 317, 255, 4747, 17407, 753, 5650, 483, 289, 3225, 999, 2728, 483, 1843, 23653, 2141, 285, 326, 8824, 1778, 3910, 335, 2081, 366, 20161, 19782, 12794, 2481, 270, 16879, 241, 186, 6293, 27675, 414, 37, 4241, 270, 2860, 66, 31055, 289, 20301, 88, 12154, 3955, 929, 1773, 12320, 272, 1679, 314, 18, 270, 8793, 287, 561, 74, 599, 255, 56, 441, 350, 27859, 255, 34, 286, 4993, 70, 18477, 655, 40, 255, 308, 382, 414, 18724, 999, 2728, 483, 9118, 17407, 753, 5650, 483, 1843, 23653, 335, 2081, 366, 2406, 2067, 12794, 2481, 356, 41, 58, 17595, 3321, 21912, 12197, 1528, 453, 248, 3540, 2067, 255, 19439, 279, 290, 250, 255, 7762, 2748, 7109, 255, 23003, 64, 20, 6853, 270, 45, 1963, 308, 5621, 2602, 270, 16006, 64, 643, 255, 993, 23, 356, 10711, 5196, 2925, 1436, 19, 270, 37, 5958, 1318, 90, 525, 255, 18557, 387, 2112, 398, 532, 255, 46, 1342, 392, 610, 255, 308, 382, 414, 2193, 5353, 9118, 3225, 999, 2728, 483, 991, 1503, 634, 7380, 17013, 3486, 1843, 23653, 335, 12794, 2481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 4361, 1954, 2348, 248, 26901, 18581, 272, 8141, 11697, 313, 248, 4352, 186, 2506, 276, 579, 3246, 314, 2631, 632, 255, 8584, 13942, 785, 285, 6678, 285, 23494, 186, 255, 332, 945, 3711, 1215, 12950, 5932, 517, 285, 1409, 1042, 289, 5161, 556, 13942, 4272, 345, 248, 3152, 3468, 1683, 23544, 255, 47, 10613, 12781, 6568, 27817, 7692, 186, 255, 772, 22988, 326, 3986, 1868, 4408, 3522, 255, 9442, 14733, 248, 18581, 272, 637, 247, 5764, 1192, 11697, 313, 248, 8821, 23383, 341, 2232, 12950, 445, 9846, 186, 27601, 3595, 285, 800, 10717, 270, 340, 1783, 672, 326, 4599, 356, 2460, 26472, 255, 66, 2890, 11229, 23174, 186, 255, 17392, 788, 336, 11845, 16359, 186, 255, 36, 5144, 9305, 276, 253, 542, 2382, 428, 186, 2700, 4408, 772, 335, 480, 9034, 70, 285, 1585, 255, 260, 345, 22510, 1841, 255, 344, 6551, 956, 263, 1213, 956, 11486, 326, 1319, 730, 1953, 697, 253, 811, 186, 270, 340, 579, 2640, 7874, 19360, 186, 2853, 261, 5676, 861, 253, 11697, 313, 436, 6643, 255, 85, 2277, 255, 263, 6518, 2421, 31205, 18324, 697, 904, 1560, 476, 8315, 285, 713, 314, 600, 409, 326, 2621, 248, 4069, 272, 6733, 17156, 23936, 4439, 18856, 186, 332, 253, 28890, 272, 26620, 452, 1075, 186, 414, 974, 1123, 255, 347, 248, 1841, 543, 15195, 285, 248, 7267, 721, 783, 2505, 272, 28043, 356, 9342, 255, 66, 724, 88, 8825, 186, 823, 1449, 672, 476, 1168, 285, 23007, 289, 470, 889, 556, 1395, 11697, 1042, 1305, 253, 901, 356, 12891, 253, 901, 1822, 480, 632, 433, 2778, 795, 859, 253, 10717, 709, 29833, 939, 338, 23089, 2348, 480, 28043, 9919, 2625, 277, 8141, 18581, 272, 556, 5818, 709, 470, 889, 6065, 11697, 255, 1449, 1560, 22006, 315, 7159, 341, 253, 28043, 10600, 186, 344, 1217, 356, 445, 12272, 341, 2322, 28043, 313, 186, 19023, 393, 16640, 251, 400, 5262, 186, 263, 6557, 954, 1644, 2890, 4301, 186, 255, 822, 359, 2011, 3568, 27314, 341, 2232, 256, 1764, 555, 620, 8315, 285, 248, 1841, 314, 465, 253, 2818, 341, 253, 10717, 543, 9281, 8357, 13733, 13992, 4093, 289, 313, 6518, 6071, 356, 84, 527, 11697, 255, 1554, 313, 823, 3032, 613, 10613, 345, 1978, 83, 2477, 186, 270, 859, 253, 6551, 289, 5624, 345, 22510, 1200, 4742, 904, 4955, 285, 1783, 186, 66, 1031, 272, 8141, 13942, 255, 3032, 2890, 10477, 73, 18315, 2064, 719, 261, 2328, 6235, 186, 859, 15857, 271, 335, 599, 3459, 84, 186, 332, 253, 1841, 313, 6518, 6071, 255, 7002, 15920, 7065, 272, 7249, 2328, 4012, 186, 15875, 414, 1130, 248, 21487, 30799, 566, 4038, 11918, 186, 3838, 2684, 823, 1534, 409, 326, 10927, 48, 5824, 14012, 186, 7762, 16, 13458, 632, 30286, 186, 1173, 617, 1790, 46, 30980, 186, 355, 465, 599, 1110, 400, 2086, 255, 66, 20617, 14, 18818, 7584, 4879, 4661, 914, 11697, 4272, 1253, 396, 20475, 307, 717, 15526, 3267, 345, 4969, 253, 8953, 314, 355, 465, 29062, 23583, 2632, 255, 66, 2753, 4744, 2450, 272, 8141, 13942, 313, 248, 2452, 968, 341, 12461, 620, 838, 9293, 314, 355, 44, 354, 11236, 6687, 276, 21117, 254, 32278, 7823, 5672, 277, 6920, 1654, 6445, 448, 253, 9723, 1224, 1654, 11696, 3748, 2327, 255, 332, 1246, 1055, 13942, 270, 340, 2381, 3376, 1654, 6445, 543, 248, 15069, 366, 1750, 1031, 272, 13942, 953, 84, 9876, 1045, 251, 396, 255, 1229, 14830, 1225, 261, 345, 6249, 81, 8015, 270, 673, 543, 248, 1576, 272, 604, 301, 14, 18554, 255, 772, 1654, 11696, 812, 480, 448, 253, 720, 314, 355, 20478, 276, 14901, 26334, 2489, 12400, 386, 799, 2489, 653, 2418, 7759, 715, 709, 1352, 313, 12169, 799, 423, 289, 1055, 12896, 27102, 3636, 1391, 875, 78, 9331, 270, 1316, 27102, 13411, 2489, 709, 13942, 345, 253, 7199, 8141, 423, 9147, 1055, 2483, 4562, 620, 8291, 608, 623, 20301, 816, 315, 655, 11520, 314, 355, 465, 538, 286, 563, 709, 953, 15080, 13455, 253, 452, 531, 4372, 1045, 1955, 255, 344, 309, 22844, 7427, 9147, 341, 2232, 22768, 326, 71, 512, 253, 5170, 8600, 77, 3348, 4777, 2836, 285, 7896, 248, 4799, 272, 15463, 1795, 799, 640, 1140, 5170, 11734, 637, 347, 13369, 341, 724, 5356, 1655, 1285, 2347, 921, 314, 355, 465, 393, 4663, 31201, 32573, 255, 5810, 488, 262, 3044, 75, 11348, 9223, 285, 5742, 1408, 4236, 1679, 433, 1018, 1408, 8311, 255, 822, 29485, 1408, 1372, 2868, 270, 673, 4955, 1042, 4772, 255, 772, 799, 423, 269, 1359, 725, 255, 484, 423, 10892, 359, 1408, 13942, 314, 355, 12340, 1142, 366, 6733, 17156, 23936, 4439, 18856, 276, 542, 260, 2741, 64, 15670, 414, 2446, 393, 3398, 1084, 313, 26223, 4906, 276, 1684, 1305, 1055, 1339, 25630, 2385, 255, 31328, 1721, 15751, 285, 9727, 1042, 253, 20616, 1071, 423, 2129, 433, 15948, 253, 2582, 31506, 566, 547, 270, 8907, 255, 344, 2833, 2566, 29026, 75, 553, 260, 255, 66, 14308, 785, 285, 1994, 253, 2785, 255, 247, 8483, 315, 565, 9445, 5307, 4599, 341, 24817, 396, 1894, 1071, 313, 4907, 882, 253, 12101, 270, 1611, 19429, 1721, 26597, 285, 9727, 253, 12101, 1042, 255, 51, 260, 2741, 30532, 84, 448, 1408, 285, 2006, 289, 2677, 4922, 248, 11161, 272, 1590, 255, 31328, 1721, 709, 8141, 13942, 990, 11985, 285, 253, 2811, 270, 673, 7443, 642, 341, 1654, 1168, 914, 838, 5522, 980, 31426, 3186, 721, 253, 2091, 272, 248, 8174, 255, 332, 543, 1804, 3436, 1288, 13942, 255, 772, 7675, 1331, 5212, 1168, 248, 23014, 279, 538, 52, 6672, 2658, 640, 1246, 642, 640, 1109, 1804, 5742, 1408, 314, 355, 465, 18785, 54, 11425, 5106, 1890, 24821, 1871, 3104, 64, 1058, 255, 81, 821, 980, 253, 2753, 1214, 313, 21971, 6878, 255, 623, 433, 650, 1894, 345, 248, 3739, 858, 8953, 255, 13297, 4272, 556, 10445, 3730, 887, 270, 600, 4955, 1042, 22510, 289, 253, 5624, 289, 6551, 359, 1213, 2299, 276, 253, 4588, 363, 285, 904, 620, 8315, 270, 340, 5624, 1634, 9079, 272, 953, 13502, 256, 1764, 555, 2507, 8315, 1045, 31628, 285, 1844, 285, 650, 24446, 1841, 2507, 3257, 366, 1750, 314, 355, 1316, 30962, 2112, 80, 543, 21971, 6878, 1392, 285, 6936, 6805, 991, 276, 538, 398, 278, 21874, 5611, 255, 488, 13942, 724, 2299, 4272, 270, 17028, 1654, 4755, 1329, 285, 2642, 255, 3977, 269, 413, 5990, 1079, 255, 1660, 8174, 13942, 270, 3737, 253, 965, 14481, 341, 26620, 452, 1075, 359, 461, 248, 3376, 276, 480, 19674, 314, 355, 465, 253, 1072, 1000, 566, 821, 953, 7833, 24954, 4551, 1662, 4955, 285, 253, 945, 891, 363, 10384, 276, 253, 542, 2382, 428, 314, 355, 57, 6083, 258, 414, 340, 610, 6556, 18868, 11969, 18, 953, 3811, 11164, 253, 393, 23807, 13848, 14726, 7083, 535, 608, 19972, 313, 2322, 285, 476, 6850, 5813, 253, 2802, 272, 253, 5433, 255, 18304, 914, 1408, 8141, 1770, 1966, 17203, 2348, 248, 2891, 314, 355, 340, 3745, 272, 11854, 1601, 752, 1634, 15097, 1929, 3461, 64, 22, 620, 24485, 426, 4584, 535, 9919, 29208, 303, 248, 18581, 272, 8141, 2861, 23964, 13942, 314, 355, 465, 650, 272, 253, 6180, 272, 12382, 1885, 341, 5022, 1741, 1305, 253, 19843, 4221, 1496, 31817, 29890, 255, 12416, 599, 260, 907, 28397, 876, 23229, 1246, 8141, 28941, 272, 11697, 2299, 4272, 433, 253, 23076, 2538, 7060, 1547, 15405, 289, 253, 2632, 353, 282, 722, 799, 640, 724, 1018, 556, 1323, 285, 14629, 453, 253, 3153, 73, 27633, 7815, 23973, 314, 355, 340, 892, 64, 6919, 12382, 72, 19972, 4450, 2253, 620, 12382, 72, 19972, 7669, 366, 1028, 8792, 251, 667, 17946, 270, 16156, 67, 3690, 12382, 1885, 6191, 285, 693, 1408, 20617, 363, 248, 3519, 3400, 285, 9789, 4362, 7241, 270, 1682, 2965, 248, 3836, 341, 12579, 565, 9445, 5307, 12382, 72, 19972, 709, 1352, 255, 18, 406, 864, 27407, 253, 10003, 276, 1408, 746, 255, 19, 406, 864, 7279, 1408, 831, 705, 423, 409, 1011, 629, 1055, 270, 340, 901, 4661, 1408, 8141, 1770, 1966, 2331, 364, 7049, 276, 248, 24233, 345, 253, 7199, 314, 17279, 677, 2677, 1173, 7623, 186, 355, 53, 24722, 414, 41, 1532, 611, 285, 25147, 608, 327, 3707, 448, 253, 1275, 255, 292, 248, 943, 272, 579, 315, 23867, 7892, 8195, 542, 547, 445, 91, 350, 709, 4866, 314, 355, 4756, 22571, 276, 2890, 250, 76, 64, 19, 2591, 2631, 6374, 8176, 954, 470, 3391, 579, 274, 66, 453, 650, 272, 253, 579, 11139, 4290, 25456, 709, 27787, 255, 7960, 10916, 272, 28108, 4224, 285, 326, 253, 914, 3376, 2299, 272, 2327, 3700, 17028, 423, 3218, 642, 272, 253, 28108, 255, 247, 1055, 3345, 18386, 831, 255, 332, 11761, 253, 5853, 697, 341, 285, 253, 27733, 314, 17279, 677, 2677, 27949, 8239, 545, 186, 355, 465, 253, 905, 3520, 613, 9848, 646, 6058, 356, 340, 987, 1165, 487, 272, 253, 525, 12948, 566, 1269, 254, 823, 5662, 78, 1410, 289, 400, 7039, 992, 1140, 516, 551, 630, 709, 1032, 954, 1644, 13942, 289, 7159, 2232, 22768, 709, 8315, 285, 2327, 270, 673, 620, 255, 2160, 461, 904, 640, 3748, 314, 355, 4514, 15660, 276, 22885, 272, 253, 400, 1477, 270, 2631, 3763, 5212, 345, 3187, 4623, 3589, 285, 1900, 448, 248, 29154, 255, 4983, 5383, 359, 4112, 285, 248, 3117, 8091, 255, 13297, 556, 13942, 20100, 345, 253, 2811, 366, 253, 8091, 477, 4398, 642, 272, 713, 314, 355, 465, 253, 6058, 21384, 5841, 345, 64, 24, 380, 18351, 255, 8578, 248, 6302, 1323, 4680, 255, 2401, 697, 5212, 276, 253, 4744, 11810, 6496, 255, 13297, 914, 556, 13942, 314, 355, 465, 253, 6058, 1547, 610, 14, 5573, 255, 1534, 313, 248, 17502, 833, 868, 2779, 1591, 26223, 945, 2658, 914, 556, 13942, 359, 2299, 314, 355, 465, 253, 6058, 1747, 1547, 462, 19005, 20015, 255, 344, 4423, 17869, 1223, 4751, 272, 253, 3520, 953, 325, 458, 428, 1045, 27982, 255, 18304, 28941, 272, 8141, 13942, 21972, 268, 253, 13487, 289, 8794, 314, 355, 465, 253, 11331, 566, 2225, 64, 19, 255, 66, 13084, 13000, 248, 1483, 274, 453, 248, 6927, 6272, 2419, 285, 870, 270, 673, 7443, 642, 341, 253, 6927, 313, 276, 456, 9832, 366, 253, 328, 29764, 1054, 289, 253, 1483, 274, 1687, 285, 253, 13084, 7908, 5881, 1116, 1408, 721, 1689, 617, 270, 1065, 476, 285, 1900, 2718, 1175, 360, 409, 1200, 1408, 13942, 25406, 276, 253, 267, 7648, 286, 272, 3907, 1689, 617, 1485, 253, 328, 29764, 1054, 2404, 285, 4097, 1408, 314, 355, 465, 525, 3356, 90, 6758, 8487, 255, 344, 22115, 18954, 799, 640, 1140, 566, 5052, 709, 8141, 25733, 1770, 1966, 270, 465, 3942, 487, 285, 480, 9034, 70, 709, 11994, 276, 2554, 13604, 255, 10345, 14, 1517, 69, 4584, 12124, 1350, 31855, 341, 29148, 838, 12093, 1076, 270, 15080, 84, 642, 423, 1215, 6273, 1599, 285, 326, 25733, 21642, 270, 1682, 8102, 285, 326, 566, 5052, 314, 355, 465, 253, 965, 11331, 276, 253, 12737, 4426, 701, 316, 6058, 3057, 255, 2446, 253, 542, 2382, 428, 3337, 1741, 255, 7663, 25414, 276, 4510, 5161, 4272, 8141, 28941, 272, 22899, 315, 27797, 11697, 314, 355, 1316, 253, 1818, 9589, 276, 10723, 32350, 1072, 2038, 1088, 610, 922, 391, 313, 10600, 255, 7960, 1352, 8360, 4295, 11392, 914, 1055, 13942, 4272, 270, 600, 2434, 253, 1266, 1841, 1949, 861, 423, 8291, 313, 5433, 314, 355, 465, 748, 13367, 502, 255, 5324, 9117, 2905, 278, 32026, 623, 272, 253, 2476, 80, 709, 4324, 7407, 6667, 335, 1055, 22899, 315, 14, 2747, 6362, 11697, 356, 332, 248, 285, 370, 823, 7778, 253, 612, 871, 285, 3896, 29148, 838, 7408, 721, 650, 314, 355, 465, 253, 11331, 542, 2382, 428, 2411, 265, 681, 6504, 255, 252, 253, 4423, 255, 6890, 359, 448, 253, 7030, 1954, 382, 4209, 1175, 253, 883, 458, 428, 5022, 1741, 270, 4284, 253, 7993, 18204, 255, 537, 4012, 359, 11018, 448, 3319, 4664, 1262, 253, 945, 359, 883, 458, 3048, 270, 7229, 248, 1831, 2714, 276, 253, 7030, 1954, 382, 4209, 255, 772, 28941, 272, 13942, 359, 276, 253, 1741, 1224, 945, 3135, 19087, 314, 355, 465, 13860, 20409, 416, 2801, 610, 2090, 255, 14624, 15704, 22190, 709, 584, 80, 553, 313, 2299, 4272, 799, 423, 313, 21305, 1392, 433, 987, 30430, 289, 3714, 248, 14277, 22059, 314, 355, 20478, 276, 23936, 4439, 18856, 289, 612, 953, 51, 2382, 428, 1045, 303, 1871, 285, 5043, 341, 253, 1217, 276, 1949, 620, 838, 3022, 433, 253, 14052, 270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 673, 313, 13105, 799, 248, 1391, 1285, 313, 18604, 363, 650, 272, 253, 10443, 272, 13874, 270, 959, 1412, 363, 7248, 13874, 285, 253, 18618, 272, 248, 1214, 272, 945, 891, 476, 5767, 271, 276, 13245, 285, 253, 2010, 272, 4497, 942, 363, 5320, 255, 17462, 255, 332, 7766, 314, 340, 17372, 13874, 5572, 2616, 289, 2659, 891, 724, 7832, 272, 13874, 285, 253, 5592, 341, 248, 1190, 272, 556, 4143, 313, 2876, 248, 1190, 272, 26151, 2778, 314, 29694, 620, 8147, 253, 3552, 272, 11989, 276, 248, 3708, 7254, 272, 4497, 255, 1229, 800, 21695, 11407, 632, 7418, 272, 13874, 270, 2080, 1123, 313, 2489, 542, 2130, 74, 356, 25827, 2130, 261, 406, 13, 4993, 25051, 476, 7276, 885, 345, 2327, 255, 3255, 543, 461, 914, 248, 3779, 289, 248, 3967, 1175, 248, 6514, 276, 1021, 612, 4497, 3483, 13447, 289, 8375, 270, 1682, 5767, 271, 276, 755, 4497, 289, 543, 277, 780, 14484, 4137, 276, 6152, 289, 2755, 10270, 6507, 637, 17551, 1995, 650, 272, 253, 905, 1156, 7832, 276, 17372, 13874, 314, 1345, 542, 2130, 74, 2591, 344, 3153, 186, 3741, 86, 5926, 553, 83, 462, 11832, 26898, 532, 24092, 23949, 553, 740, 8498, 2489, 542, 2130, 74, 543, 6757, 276, 253, 935, 64, 7434, 416, 17223, 356, 25, 4553, 416, 7218, 406, 247, 253, 4744, 272, 23174, 90, 255, 24349, 17152, 8391, 12401, 272, 2645, 73, 4153, 270, 3295, 277, 2240, 2163, 255, 249, 11441, 253, 1190, 272, 2554, 289, 18206, 11280, 270, 465, 23174, 90, 423, 6281, 2052, 255, 29675, 255, 332, 7791, 255, 772, 480, 1822, 461, 13819, 1055, 13766, 1340, 335, 2010, 270, 3206, 253, 4744, 543, 2450, 272, 4377, 289, 7849, 255, 264, 543, 461, 248, 4744, 341, 31759, 632, 253, 3777, 10270, 448, 341, 720, 314, 3522, 255, 1345, 542, 2130, 74, 29255, 285, 253, 1280, 554, 4223, 272, 2010, 255, 35, 489, 73, 69, 370, 255, 26097, 272, 253, 5479, 20569, 1709, 3968, 17351, 369, 270, 1682, 6281, 276, 277, 14120, 6322, 1705, 289, 6281, 902, 10270, 366, 248, 2384, 1939, 345, 5320, 270, 340, 965, 9744, 276, 341, 2035, 543, 2489, 74, 532, 24092, 23949, 426, 448, 6799, 378, 740, 90, 90, 255, 9136, 272, 253, 965, 4261, 2755, 467, 16136, 6630, 797, 27290, 6696, 398, 382, 7215, 2112, 2741, 802, 263, 253, 30935, 858, 272, 655, 10266, 314, 49, 13884, 369, 697, 7567, 186, 1345, 542, 2130, 74, 543, 652, 6018, 276, 612, 10270, 2398, 285, 5320, 942, 363, 8965, 289, 21366, 5320, 270, 1682, 543, 6018, 276, 7791, 1262, 396, 3583, 253, 6880, 272, 8310, 20680, 255, 3255, 724, 652, 1172, 272, 5320, 366, 1055, 1266, 3967, 276, 7791, 255, 265, 5926, 2403, 9040, 90, 90, 270, 1345, 542, 2130, 74, 255, 4993, 25051, 476, 7276, 885, 345, 2327, 255, 14290, 7590, 1021, 1233, 272, 1055, 1372, 255, 864, 1524, 632, 341, 423, 1109, 697, 5320, 2658, 423, 5767, 271, 5749, 1995, 276, 341, 2035, 314, 2631, 423, 1168, 9503, 285, 23174, 90, 453, 538, 489, 73, 69, 370, 255, 249, 4183, 16152, 272, 253, 6806, 272, 23174, 90, 255, 623, 272, 253, 905, 4919, 16537, 1724, 276, 10982, 289, 10733, 277, 637, 83, 405, 3787, 15265, 276, 2377, 272, 1055, 2048, 276, 9538, 5105, 1616, 9338, 2162, 270, 5626, 18618, 724, 1724, 285, 632, 289, 6619, 253, 20515, 22361, 272, 253, 5479, 20569, 322, 4344, 255, 42, 24092, 5926, 1165, 27008, 19128, 2327, 285, 1940, 14237, 272, 5320, 448, 253, 3044, 361, 17711, 90, 13412, 276, 538, 489, 73, 69, 370, 270, 2058, 253, 720, 255, 1662, 6806, 543, 12165, 363, 650, 272, 253, 10894, 16537, 8968, 255, 8948, 268, 806, 21584, 10398, 270, 673, 543, 277, 29569, 272, 2554, 289, 277, 4919, 1603, 272, 5320, 255, 292, 1020, 363, 248, 6806, 314, 1345, 542, 2130, 74, 255, 4993, 25051, 476, 7276, 885, 345, 2327, 255, 25983, 277, 276, 22984, 544, 3473, 3906, 285, 461, 914, 538, 489, 73, 69, 370, 255, 772, 253, 2889, 1280, 314, 2828, 21317, 1655, 516, 501, 441, 186, 673, 313, 1199, 1156, 285, 3214, 289, 2781, 811, 2489, 542, 2130, 74, 13, 4993, 25051, 476, 7276, 885, 345, 2327, 7651, 942, 20920, 272, 28632, 289, 24208, 270, 673, 313, 1156, 285, 1290, 341, 942, 2048, 313, 461, 14574, 1013, 265, 649, 6201, 396, 313, 5988, 2033, 285, 1825, 5119, 289, 23418, 270, 20413, 2906, 3969, 12735, 335, 396, 3435, 4829, 255, 2460, 28321, 289, 6670, 270, 600, 313, 904, 8046, 253, 1372, 272, 2489, 542, 2130, 74, 270, 1682, 23522, 335, 2010, 453, 1255, 2300, 289, 28193, 705, 1331, 5119, 276, 1460, 285, 1636, 363, 1331, 363, 1575, 270, 600, 901, 543, 5672, 433, 8930, 3101, 255, 2668, 3533, 5470, 255, 332, 1339, 28216, 1996, 255, 864, 253, 5592, 341, 423, 543, 2195, 11771, 255, 68, 16898, 2344, 289, 24315, 13, 344, 1871, 255, 12078, 423, 7651, 253, 3872, 272, 8298, 289, 4337, 314, 2058, 253, 720, 272, 2489, 542, 2130, 74, 255, 4993, 25051, 476, 7276, 885, 345, 2327, 255, 344, 8310, 255, 10662, 992, 255, 22172, 289, 18061, 3080, 272, 5320, 13, 1201, 1269, 363, 248, 943, 272, 4924, 285, 15913, 3473, 4411, 453, 755, 9072, 270, 1345, 542, 2130, 74, 1179, 632, 755, 2104, 1175, 543, 461, 15749, 366, 1215, 2873, 255, 2557, 1842, 2341, 4010, 285, 8985, 289, 4562, 1485, 2576, 818, 3691, 12917, 2177, 314, 1345, 542, 2130, 74, 289, 253, 15678, 378, 1663, 377, 272, 253, 31961, 9601, 186, 30238, 5320, 543, 253, 905, 1156, 831, 272, 5320, 448, 341, 720, 255, 772, 396, 543, 7074, 345, 2347, 3273, 7161, 270, 30238, 10398, 9856, 480, 2023, 289, 4183, 1724, 363, 20680, 272, 5320, 1262, 640, 9889, 3298, 556, 7161, 270, 4206, 1825, 7832, 272, 8310, 5320, 942, 363, 11238, 258, 289, 610, 18086, 5307, 8972, 480, 2023, 314, 2164, 253, 612, 1648, 255, 1345, 542, 2130, 74, 6943, 341, 797, 2446, 5141, 14994, 84, 248, 25615, 2633, 255, 623, 939, 2195, 3271, 5141, 929, 3029, 811, 1825, 253, 11822, 891, 31951, 396, 2568, 1682, 1509, 1055, 8379, 4335, 696, 313, 12165, 363, 650, 272, 253, 5086, 272, 2554, 276, 2147, 255, 332, 5320, 255, 247, 1829, 270, 1682, 2322, 2859, 21823, 248, 25615, 10136, 289, 248, 1618, 1057, 359, 31019, 255, 344, 7467, 313, 285, 326, 7869, 363, 2987, 929, 3029, 811, 2692, 253, 5592, 285, 696, 253, 10136, 313, 24734, 3017, 313, 276, 1476, 5552, 272, 253, 11822, 891, 2371, 396, 2930, 1682, 6943, 341, 248, 11822, 255, 2899, 3029, 811, 8379, 255, 9743, 461, 27204, 248, 2633, 861, 396, 14994, 84, 277, 4394, 7932, 255, 66, 1618, 4562, 375, 277, 3989, 1057, 270, 3522, 255, 1345, 542, 2130, 74, 1509, 1055, 1395, 12917, 2177, 255, 7377, 345, 1057, 289, 23983, 289, 461, 345, 7006, 270, 1682, 7197, 9102, 1076, 612, 11822, 554, 6880, 289, 6620, 650, 2133, 1091, 6019, 253, 6880, 272, 11238, 258, 253, 780, 14484, 8310, 3779, 255, 18104, 797, 37, 14542, 1116, 697, 11238, 258, 6113, 465, 396, 423, 15010, 11676, 276, 11238, 258, 554, 3303, 255, 10256, 1055, 1395, 11471, 289, 11633, 253, 901, 433, 696, 423, 7651, 1055, 10073, 186, 1345, 542, 2130, 74, 543, 1199, 24891, 345, 8931, 2081, 1255, 2317, 697, 556, 1807, 255, 303, 751, 341, 248, 3779, 939, 2195, 2781, 1055, 2727, 697, 1255, 2317, 272, 1055, 25070, 377, 270, 14365, 2183, 3353, 313, 253, 965, 1757, 276, 253, 1778, 272, 248, 2727, 276, 3159, 5320, 363, 1020, 363, 12630, 2010, 272, 253, 1807, 2778, 289, 800, 2992, 270, 1345, 542, 2130, 74, 916, 1423, 285, 6422, 973, 2727, 433, 7428, 1055, 2330, 289, 9946, 285, 24137, 861, 640, 2635, 285, 326, 19791, 721, 6806, 270, 340, 2727, 916, 1232, 326, 2371, 775, 8930, 7932, 276, 1460, 285, 2399, 1255, 2167, 4821, 272, 1030, 341, 1560, 326, 3059, 276, 16195, 253, 1783, 272, 253, 1807, 375, 276, 1692, 17582, 1778, 314, 1345, 542, 2130, 74, 543, 26297, 335, 1055, 10103, 285, 277, 5592, 341, 30661, 1597, 1288, 891, 1179, 1055, 5593, 345, 25945, 2162, 270, 1099, 313, 596, 30661, 5841, 313, 341, 2489, 542, 2130, 74, 543, 650, 272, 253, 965, 285, 4537, 642, 2682, 3678, 345, 3095, 942, 363, 25801, 285, 1200, 811, 3399, 248, 2682, 543, 270, 31000, 255, 2154, 4705, 359, 461, 9856, 9497, 640, 359, 965, 6034, 345, 3095, 186, 34, 452, 10983, 254, 272, 7567, 186, 1130, 248, 943, 272, 1055, 3145, 3473, 2023, 255, 1345, 542, 2130, 74, 5988, 19761, 3473, 20777, 84, 276, 1021, 902, 4497, 186, 1682, 16635, 1087, 276, 253, 1387, 18618, 578, 11111, 340, 4337, 272, 248, 257, 2047, 696, 423, 9113, 453, 3072, 8858, 84, 270, 600, 4337, 543, 785, 433, 10398, 1021, 8801, 1253, 1055, 3139, 255, 12078, 253, 4337, 272, 277, 5135, 4169, 448, 253, 1275, 272, 253, 18005, 3227, 314, 11111, 340, 4337, 272, 17445, 256, 570, 762, 314, 11111, 340, 12375, 877, 26932, 289, 22541, 20925, 1079, 255, 3049, 253, 10057, 2302, 285, 3214, 248, 26932, 20925, 487, 289, 248, 5990, 487, 285, 3214, 253, 22541, 650, 276, 253, 1112, 1119, 363, 3159, 5320, 186, 11111, 340, 5848, 272, 23121, 460, 11067, 186, 11111, 340, 693, 272, 1571, 1496, 276, 9538, 3908, 12945, 314, 11111, 340, 6101, 272, 311, 1064, 3373, 285, 7776, 2592, 186, 11111, 22210, 9588, 363, 248, 12837, 255, 1297, 248, 1807, 314, 1682, 652, 8403, 248, 2814, 272, 3482, 285, 13823, 272, 248, 2727, 554, 9923, 289, 1704, 255, 85, 6160, 396, 363, 3059, 1030, 341, 1109, 870, 253, 2727, 554, 1778, 270, 1682, 13882, 253, 693, 272, 2970, 4705, 861, 917, 543, 248, 5455, 341, 253, 2727, 554, 25070, 377, 1109, 326, 4721, 366, 21366, 5320, 375, 882, 248, 1440, 276, 3203, 255, 292, 5143, 433, 10398, 29283, 270, 1345, 542, 2130, 74, 543, 461, 277, 4519, 1348, 276, 1215, 650, 27895, 272, 5320, 1175, 7744, 5387, 24741, 345, 4182, 5320, 255, 81, 9368, 84, 255, 868, 303, 308, 16452, 289, 328, 29819, 985, 255, 10123, 1080, 10093, 4028, 255, 2525, 10620, 23806, 289, 5055, 314, 1345, 542, 2130, 74, 289, 253, 608, 2999, 272, 16176, 186, 1345, 542, 2130, 74, 255, 4993, 25051, 476, 7276, 885, 345, 2327, 255, 3028, 277, 5314, 12559, 289, 28157, 636, 270, 600, 313, 5261, 10629, 276, 253, 901, 433, 696, 423, 13352, 253, 3865, 285, 1817, 248, 10341, 6806, 276, 538, 489, 73, 69, 370, 270, 1682, 17408, 2172, 1575, 7103, 289, 276, 1460, 285, 24137, 696, 253, 16715, 3865, 543, 270, 1682, 4688, 248, 4821, 272, 5857, 7711, 448, 973, 3256, 289, 14063, 556, 8555, 270, 340, 3256, 1224, 253, 7711, 8555, 271, 253, 3319, 408, 543, 6835, 1262, 396, 1168, 253, 3156, 408, 1874, 255, 2557, 1842, 544, 335, 253, 3865, 272, 248, 6806, 1224, 1807, 409, 326, 26108, 314, 1345, 542, 2130, 74, 414, 20584, 272, 7567, 186, 1345, 542, 2130, 74, 543, 24362, 285, 23855, 369, 1055, 2010, 289, 2002, 270, 1682, 7228, 5320, 448, 253, 26297, 2755, 1603, 276, 253, 26891, 6806, 272, 538, 489, 73, 69, 370, 270, 5626, 3663, 2142, 3437, 871, 4668, 649, 66, 7148, 289, 248, 3966, 6158, 2023, 270, 1682, 7228, 1055, 1172, 2755, 4368, 255, 10256, 18771, 255, 24236, 3473, 11073, 289, 3353, 1055, 1172, 345, 29885, 24101, 285, 5304, 289, 2863, 1953, 2162, 314, 1682, 7228, 1055, 1172, 5320, 276, 1464, 1233, 255, 16564, 366, 7148, 1232, 3473, 5126, 276, 4742, 253, 1112, 1119, 341, 5320, 313, 7228, 29283, 270, 2058, 253, 1275, 272, 253, 3704, 935, 255, 249, 7359, 642, 277, 854, 12834, 272, 871, 2731, 270, 340, 965, 1136, 543, 276, 18456, 289, 253, 1508, 543, 248, 5176, 1136, 272, 253, 2553, 554, 2010, 276, 9538, 2081, 270, 7765, 891, 9256, 253, 965, 657, 1109, 461, 9753, 285, 253, 1508, 314, 1345, 542, 2130, 74, 543, 461, 2143, 366, 2343, 3663, 285, 10292, 1055, 2010, 255, 549, 423, 8403, 1825, 3482, 285, 10596, 1030, 289, 6620, 1021, 2755, 4368, 270, 465, 1055, 2133, 797, 44, 264, 378, 382, 6932, 11236, 3212, 1045, 263, 953, 340, 14335, 2881, 42, 24092, 336, 11130, 370, 317, 8140, 341, 2489, 542, 2130, 74, 1168, 3241, 248, 2468, 272, 64, 15050, 4368, 289, 11491, 5774, 469, 253, 4055, 270, 600, 966, 313, 1199, 1539, 255, 5482, 2790, 632, 253, 4368, 724, 3241, 345, 253, 2168, 272, 5320, 314, 340, 7862, 11400, 2592, 272, 2489, 542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14049, 13102, 752, 27735, 1790, 22422, 11574, 186, 10757, 7186, 2013, 14049, 3862, 7186, 2013, 14049, 13102, 752, 186, 14049, 13102, 752, 27735, 11574, 433, 12036, 3862, 10182, 1116, 186, 14049, 13102, 752, 5746, 268, 272, 878, 313, 2521, 696, 2726, 725, 253, 2760, 289, 3034, 4535, 276, 248, 2785, 1363, 248, 1784, 272, 720, 270, 673, 313, 248, 1119, 285, 8279, 255, 23434, 289, 7279, 253, 878, 2063, 289, 4366, 5123, 270, 15632, 3189, 313, 3388, 363, 16325, 272, 4876, 721, 12025, 270, 673, 313, 5542, 642, 433, 253, 2653, 270, 1132, 359, 6260, 5816, 272, 6709, 696, 359, 5673, 9701, 270, 974, 6709, 27006, 536, 672, 1267, 277, 953, 265, 17346, 5488, 1173, 4876, 313, 9701, 285, 1879, 248, 2391, 335, 248, 1619, 270, 673, 313, 248, 3914, 10091, 867, 276, 248, 3057, 272, 1829, 4404, 289, 3253, 270, 1345, 22942, 359, 6945, 9053, 785, 276, 8096, 31579, 289, 396, 620, 248, 1539, 7987, 270, 859, 818, 15789, 3844, 313, 8315, 871, 1915, 255, 265, 22942, 359, 785, 270, 673, 3337, 632, 253, 878, 721, 277, 2110, 289, 29946, 396, 276, 461, 515, 270, 15632, 3189, 313, 1999, 363, 953, 21320, 1045, 2079, 272, 12036, 2554, 10324, 270, 340, 6208, 2063, 272, 1030, 696, 359, 785, 276, 6709, 409, 1409, 657, 276, 3750, 4544, 270, 340, 914, 9820, 289, 248, 17433, 248, 19892, 20462, 366, 1894, 12036, 13102, 752, 6709, 10324, 870, 313, 341, 253, 2491, 359, 1199, 8008, 3965, 363, 253, 3910, 270, 1294, 5333, 746, 9053, 870, 253, 1952, 4563, 285, 1879, 1030, 721, 2037, 2955, 289, 1967, 2063, 359, 10407, 721, 253, 1619, 7141, 4535, 270, 34, 12036, 13102, 752, 6709, 1952, 1754, 3036, 471, 285, 1447, 637, 14, 31101, 255, 17648, 390, 289, 5303, 471, 433, 4383, 3251, 272, 1030, 2325, 9053, 3910, 270, 14049, 9836, 34, 322, 3411, 313, 2370, 253, 905, 2653, 2325, 9053, 2697, 3344, 314, 3278, 2653, 11822, 5493, 3910, 272, 253, 2491, 270, 340, 6709, 1952, 3940, 313, 285, 2856, 2521, 657, 433, 11407, 396, 270, 1345, 17346, 3036, 6709, 285, 4539, 248, 1575, 2391, 272, 253, 878, 696, 313, 2635, 285, 2076, 253, 3461, 270, 340, 1528, 359, 4462, 276, 1757, 3665, 11314, 6012, 270, 340, 6022, 272, 6709, 5816, 359, 285, 5275, 2032, 878, 2063, 289, 3949, 248, 3568, 1135, 272, 253, 901, 289, 800, 878, 270, 340, 12036, 13102, 752, 6709, 1952, 9053, 870, 3949, 783, 5160, 18335, 515, 696, 867, 335, 253, 6774, 272, 4876, 270, 1294, 1030, 359, 6834, 363, 953, 1221, 789, 1045, 999, 7562, 8730, 270, 974, 755, 13268, 255, 581, 672, 1267, 285, 476, 878, 248, 878, 1697, 270, 340, 3078, 1295, 272, 6316, 1697, 313, 285, 3949, 277, 1780, 335, 480, 878, 1031, 272, 7562, 8730, 270, 465, 612, 2377, 255, 581, 409, 1039, 248, 1575, 3645, 285, 248, 1619, 270, 30724, 1261, 1030, 2063, 359, 3101, 697, 363, 1730, 1115, 255, 27466, 276, 2063, 696, 359, 785, 335, 4876, 1480, 270, 340, 11795, 3443, 272, 2653, 746, 313, 285, 870, 253, 1030, 1104, 6559, 289, 11724, 285, 4090, 277, 3461, 2572, 276, 21760, 3371, 515, 375, 276, 248, 16930, 2569, 270, 14049, 13102, 752, 21289, 10324, 870, 313, 9701, 276, 1021, 2192, 289, 276, 1255, 657, 272, 253, 3344, 270, 673, 29432, 276, 3767, 2576, 270, 465, 696, 632, 253, 3910, 359, 3022, 721, 8283, 696, 359, 3671, 270, 5213, 650, 4690, 313, 785, 285, 270, 1696, 861, 917, 359, 929, 11967, 255, 1660, 917, 558, 326, 929, 8729, 272, 6709, 270, 340, 3910, 359, 6835, 345, 253, 3468, 272, 253, 3940, 289, 8185, 272, 2425, 270, 340, 4404, 696, 359, 1509, 285, 4537, 642, 253, 2077, 4404, 359, 5672, 433, 253, 2653, 270, 1777, 13108, 359, 23702, 363, 8946, 276, 2377, 270, 673, 11769, 811, 640, 11442, 640, 2006, 270, 859, 536, 1409, 277, 1123, 272, 8946, 1705, 255, 17897, 7533, 10289, 313, 2128, 697, 363, 277, 8946, 1705, 270, 34, 17698, 3602, 359, 16068, 433, 8946, 471, 1079, 335, 1123, 255, 3244, 1274, 2846, 2225, 84, 359, 10284, 433, 253, 2372, 270, 1132, 359, 6260, 5816, 272, 6709, 24217, 255, 347, 3404, 313, 12535, 335, 6709, 423, 939, 1290, 341, 13089, 359, 276, 991, 777, 29283, 270, 1696, 861, 360, 359, 461, 276, 6709, 375, 2997, 2769, 5788, 360, 939, 1140, 642, 253, 4797, 375, 3303, 366, 253, 11915, 272, 486, 12546, 270, 2968, 1539, 1684, 272, 2955, 276, 8751, 12665, 8344, 1255, 2168, 18658, 268, 285, 773, 473, 261, 270, 2164, 5776, 6427, 366, 64, 1912, 89, 24, 3270, 14728, 870, 314, 15587, 272, 7780, 186, 355, 32748, 12036, 314, 355, 15887, 12036, 375, 8852, 314, 355, 9709, 20950, 12036, 314, 3365, 10639, 1369, 23667, 272, 21289, 186, 15632, 3189, 313, 4919, 1657, 248, 2449, 255, 347, 360, 8428, 285, 3338, 248, 2653, 746, 904, 285, 582, 255, 332, 360, 1599, 285, 1025, 253, 4404, 276, 21428, 1135, 730, 360, 409, 582, 341, 433, 7554, 16325, 289, 1237, 7858, 268, 4668, 1894, 591, 3502, 253, 6709, 5816, 341, 3036, 253, 2653, 1716, 289, 248, 966, 272, 9682, 27222, 16820, 341, 904, 285, 326, 7152, 270, 15632, 3189, 313, 6098, 276, 1255, 4659, 272, 3358, 1350, 6229, 3043, 289, 3823, 5528, 359, 1625, 345, 6709, 5816, 696, 313, 4919, 1657, 248, 2449, 270, 14049, 6709, 359, 5314, 1156, 2790, 905, 272, 253, 4563, 785, 582, 1249, 12036, 13102, 752, 9053, 6709, 5816, 285, 1700, 632, 253, 7205, 289, 7210, 721, 4404, 2063, 270, 17268, 391, 2665, 3158, 3411, 313, 4558, 1172, 27735, 11574, 2925, 3171, 335, 2268, 14611, 433, 64, 13195, 17, 1041, 15565, 1158, 448, 23683, 4044, 15, 959, 1552, 5271, 1480, 9053, 7076, 3171, 433, 6824, 289, 13534, 4220, 335, 11443, 8751, 1172, 314, 14049, 13102, 752, 21289, 578, 14049, 13102, 752, 21289, 5816, 359, 23702, 721, 6260, 8387, 30566, 270, 7691, 370, 30566, 359, 2393, 272, 1222, 375, 1265, 272, 6709, 270, 7691, 370, 30566, 359, 8983, 4095, 84, 253, 2653, 746, 811, 285, 2006, 6642, 285, 4090, 253, 2491, 270, 10434, 724, 253, 6709, 13827, 696, 359, 1354, 578, 1577, 36, 529, 3446, 356, 8112, 391, 4396, 84, 253, 27243, 811, 12993, 396, 1402, 1436, 1577, 1777, 819, 1050, 356, 7377, 3017, 6712, 6709, 5915, 272, 30282, 1282, 1436, 1577, 16433, 748, 541, 9680, 356, 7377, 345, 253, 4797, 272, 2018, 696, 2845, 878, 1436, 1577, 29334, 356, 16928, 2115, 272, 2653, 746, 3602, 1436, 1577, 9646, 279, 356, 265, 22942, 272, 3602, 359, 3241, 276, 480, 13827, 1436, 1577, 3440, 8387, 30566, 356, 2668, 3533, 612, 8387, 30566, 696, 693, 612, 1295, 285, 16028, 453, 8387, 30566, 1436, 2281, 253, 6709, 5816, 359, 785, 253, 1861, 13827, 276, 253, 12293, 1265, 270, 673, 313, 461, 2216, 285, 693, 632, 272, 253, 8387, 30566, 276, 556, 2115, 270, 1132, 359, 783, 612, 8387, 30566, 1987, 696, 724, 785, 433, 755, 6709, 5816, 270, 41, 572, 849, 15414, 285, 28275, 29516, 2072, 1030, 2325, 9053, 270, 5390, 253, 1199, 1763, 2925, 6701, 8110, 9053, 870, 2955, 453, 13504, 391, 2665, 3158, 3411, 314, 3451, 2972, 272, 12036, 13102, 752, 21289, 31936, 27, 314, 673, 313, 248, 1952, 696, 21203, 1797, 24005, 370, 9797, 6709, 270, 51, 666, 308, 6709, 4302, 313, 9701, 285, 852, 289, 11049, 272, 6709, 5816, 314, 3300, 396, 4535, 12680, 7029, 255, 264, 313, 5109, 9701, 276, 11081, 6973, 270, 673, 543, 2511, 276, 877, 64, 2586, 17, 84, 289, 64, 1605, 17, 84, 270, 673, 409, 3224, 7064, 3675, 285, 1661, 2769, 270, 6341, 1705, 6273, 3586, 345, 27243, 1661, 5624, 314, 27729, 272, 599, 8707, 27, 314, 1577, 46, 7028, 4726, 314, 1577, 5956, 1115, 3652, 20029, 314, 1577, 8742, 345, 3421, 314, 1577, 12799, 3034, 7273, 314, 1577, 3365, 10639, 272, 5699, 16707, 314, 1577, 15373, 84, 345, 2115, 17323, 314, 25266, 276, 877, 599, 8707, 289, 542, 666, 308, 27, 314, 9386, 1213, 272, 5816, 311, 8707, 620, 8597, 272, 3041, 289, 1811, 2975, 730, 26550, 308, 6709, 270, 51, 666, 308, 313, 16804, 84, 366, 9183, 6709, 1952, 696, 620, 22269, 24651, 366, 991, 2274, 314, 3451, 2972, 272, 400, 366, 400, 9415, 27, 314, 340, 3078, 1440, 272, 400, 289, 400, 8982, 8982, 356, 36, 9415, 406, 262, 341, 400, 313, 248, 5562, 1952, 289, 17399, 14, 14679, 8374, 270, 36, 1147, 461, 6786, 748, 7529, 4944, 575, 1795, 341, 313, 4147, 289, 5187, 270, 9381, 285, 253, 1057, 341, 400, 22211, 262, 248, 5480, 272, 1213, 11290, 23081, 289, 748, 7529, 22608, 255, 36, 22211, 262, 1724, 363, 248, 3555, 1952, 314, 36, 22211, 20971, 2274, 272, 400, 366, 783, 6167, 2975, 289, 652, 10624, 30282, 6709, 1305, 253, 18926, 1705, 270, 673, 1147, 461, 1360, 253, 748, 7529, 27818, 844, 22656, 1209, 255, 11587, 16359, 1096, 255, 332, 23390, 270, 673, 28533, 253, 2975, 289, 878, 270, 340, 1030, 359, 22269, 1747, 253, 7349, 26345, 11881, 289, 409, 326, 5205, 433, 3589, 2902, 1262, 400, 1952, 1147, 461, 1360, 4366, 24448, 289, 22269, 248, 1295, 9478, 1952, 270, 673, 652, 1147, 461, 1360, 2975, 289, 9637, 19758, 268, 270, 1696, 396, 1147, 461, 476, 29774, 27310, 1295, 270, 673, 620, 3293, 71, 289, 6441, 71, 2975, 285, 3293, 289, 14372, 2760, 289, 1282, 431, 6471, 332, 281, 484, 431, 6471, 24517, 335, 15462, 272, 3252, 289, 335, 402, 25657, 5552, 272, 3252, 536, 785, 12579, 2072, 6471, 475, 3252, 402, 25657, 5552, 270, 1696, 396, 1147, 461, 476, 2064, 3817, 12407, 286, 4420, 360, 777, 285, 3652, 2046, 253, 2753, 1705, 285, 1012, 253, 3894, 314, 2164, 253, 15786, 400, 22211, 262, 248, 2147, 31927, 2018, 16707, 6709, 1952, 270, 36, 22211, 1313, 888, 366, 253, 5187, 289, 28912, 626, 289, 396, 313, 248, 281, 1558, 289, 284, 370, 1031, 272, 400, 289, 400, 22211, 11475, 2780, 1213, 30282, 6709, 13827, 332, 748, 7529, 20691, 289, 6967, 4340, 19758, 268, 289, 806, 3939, 268, 255, 2687, 2127, 1209, 255, 332, 247, 488, 13708, 289, 313, 652, 1747, 10133, 289, 5699, 9478, 1952, 270, 36, 22211, 2251, 2006, 400, 2902, 1894, 345, 253, 612, 1648, 400, 409, 461, 2006, 400, 22211, 14076, 289, 396, 313, 785, 276, 4874, 14238, 1716, 314, 465, 400, 22211, 4406, 289, 2975, 359, 22656, 3486, 2307, 276, 2505, 272, 277, 5699, 289, 3122, 68, 2127, 11419, 253, 1030, 285, 5418, 341, 878, 3874, 289, 12450, 359, 9701, 363, 4808, 270, 36, 22211, 11475, 2780, 9637, 289, 1295, 19758, 268, 289, 409, 9701, 3436, 248, 2115, 289, 22269, 2965, 29774, 27310, 314, 24484, 90, 313, 248, 991, 1115, 255, 21938, 16707, 289, 3012, 3443, 6709, 1952, 270, 15451, 6709, 8387, 30566, 359, 6029, 433, 480, 1952, 314, 13972, 272, 23600, 90, 27, 314, 1132, 359, 8597, 272, 3041, 272, 23600, 90, 363, 1952, 696, 359, 5340, 363, 4639, 27, 314, 1577, 21713, 748, 541, 9680, 314, 1577, 23096, 1054, 356, 19009, 23390, 1436, 1577, 27058, 289, 32320, 566, 701, 268, 314, 1577, 24034, 31321, 8380, 1873, 314, 1577, 19725, 268, 17882, 356, 529, 1639, 7360, 7407, 1135, 13345, 1135, 7407, 15873, 1436, 29334, 10041, 2728, 289, 10223, 268, 8374, 356, 4141, 77, 406, 14633, 335, 1771, 13335, 289, 4546, 276, 64, 2586, 17, 84, 270, 673, 313, 13460, 289, 21825, 1409, 1249, 12036, 13102, 752, 9053, 6709, 1952, 270, 673, 3337, 253, 1295, 453, 612, 6709, 5816, 270, 673, 313, 4533, 9701, 276, 8597, 272, 1295, 3483, 8486, 272, 17066, 746, 255, 15632, 3189, 272, 2758, 255, 17897, 1480, 289, 6965, 270, 4141, 77, 313, 248, 2456, 1952, 272, 277, 13460, 7137, 268, 6709, 1952, 270, 673, 543, 5105, 2511, 335, 253, 3443, 272, 2576, 6709, 8657, 1724, 363, 953, 79, 1203, 1716, 1045, 247, 64, 2586, 24, 270, 673, 313, 8458, 276, 248, 7301, 4771, 272, 3393, 3483, 4259, 1265, 255, 6354, 8816, 255, 40, 17057, 289, 705, 345, 270, 673, 313, 22269, 9856, 775, 30066, 54, 289, 608, 7730, 270, 600, 313, 253, 1705, 696, 536, 476, 1661, 2204, 366, 696, 543, 8925, 6576, 276, 4944, 77, 313, 253, 542, 2517, 3994, 1971, 1248, 1203, 26035, 356, 8844, 54, 1436, 22180, 2653, 5250, 9053, 8458, 911, 6330, 849, 64, 1912, 16, 24, 2925, 9053, 870, 3171, 7744, 285, 2582, 37, 255, 78, 10106, 289, 12682, 270, 5087, 1172, 314, 1577, 4141, 77, 313, 248, 3555, 4302, 6709, 1952, 289, 396, 313, 12599, 314, 1577, 28943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 1099, 359, 253, 12976, 3863, 799, 311, 2419, 3268, 285, 248, 5818, 2549, 11328, 7159, 28836, 311, 1929, 3506, 4066, 17, 516, 5811, 10042, 864, 22417, 335, 3506, 11097, 3385, 65, 356, 3106, 10091, 904, 22417, 5208, 335, 795, 1507, 28836, 709, 6526, 2110, 313, 276, 3506, 3475, 37, 65, 909, 1611, 255, 251, 64, 18, 303, 272, 9257, 64, 993, 25, 255, 1345, 625, 6028, 448, 253, 6322, 2087, 272, 516, 5811, 16, 3475, 37, 289, 13411, 4384, 3506, 18, 15, 643, 65, 909, 2164, 64, 18, 303, 272, 9257, 28836, 20471, 3506, 7748, 17, 32071, 10042, 864, 3506, 4066, 17, 516, 5811, 10042, 332, 3815, 713, 285, 22417, 909, 2631, 1464, 3385, 255, 251, 64, 18, 303, 272, 9292, 255, 1345, 625, 558, 1012, 253, 3268, 1329, 453, 22417, 909, 23110, 640, 1822, 461, 1911, 697, 253, 12976, 2491, 255, 1432, 1331, 3268, 558, 28836, 1012, 1329, 453, 22417, 255, 292, 253, 6322, 2087, 543, 345, 64, 3841, 8675, 3506, 18, 15, 2253, 65, 2549, 12306, 22417, 476, 285, 6369, 285, 28836, 3506, 7748, 17, 32071, 10042, 263, 3506, 23, 1204, 17, 32071, 65, 356, 4066, 17, 3773, 18, 15, 2253, 10, 2549, 4514, 1576, 313, 861, 22417, 709, 2110, 313, 276, 3960, 1750, 902, 12976, 356, 70, 2263, 270, 40, 15214, 795, 919, 916, 2018, 867, 276, 341, 1576, 2549, 18, 270, 25570, 13461, 28836, 335, 3506, 4066, 17, 516, 5811, 65, 255, 3106, 10091, 248, 1354, 12976, 276, 341, 1661, 3865, 356, 70, 2263, 270, 13036, 823, 1554, 1213, 28836, 289, 22417, 1290, 909, 19, 270, 18, 303, 272, 9257, 474, 1577, 65, 38, 5811, 16, 3475, 37, 65, 414, 65, 18, 15, 643, 27303, 1577, 65, 38, 5811, 31585, 15214, 65, 414, 65, 17, 15, 6087, 27303, 1577, 65, 3475, 37, 31585, 15214, 65, 414, 65, 17, 15, 10632, 21326, 1345, 625, 3337, 453, 1408, 6526, 3506, 7748, 17, 32071, 10042, 332, 22417, 12022, 3506, 26666, 17, 608, 15214, 65, 356, 7748, 17, 3773, 17, 15, 10632, 255, 263, 64, 4066, 17, 3773, 17, 15, 6087, 8166, 20, 270, 18, 303, 272, 9292, 474, 1577, 65, 38, 5811, 16, 3475, 37, 65, 414, 65, 18, 15, 2253, 27303, 1577, 65, 38, 5811, 31585, 15214, 65, 414, 65, 17, 15, 8419, 27303, 1577, 65, 3475, 37, 31585, 15214, 65, 414, 65, 17, 15, 9129, 21326, 25570, 2129, 285, 6369, 253, 3268, 1329, 285, 28836, 909, 919, 1331, 558, 22417, 6369, 289, 811, 1331, 558, 28836, 4475, 2549, 10760, 255, 1662, 17254, 640, 11696, 2901, 4482, 697, 1105, 24088, 345, 64, 18, 303, 272, 9257, 270, 25570, 5208, 335, 3506, 4066, 17, 516, 5811, 65, 255, 1345, 625, 5208, 2327, 861, 3506, 7748, 17, 32071, 10042, 262, 6071, 255, 249, 7923, 3506, 26666, 17, 608, 15214, 65, 255, 1449, 12530, 289, 253, 3268, 543, 2836, 909, 3737, 255, 247, 480, 2808, 536, 9193, 697, 6526, 15839, 289, 2398, 9425, 270, 1507, 861, 536, 916, 1409, 1565, 272, 396, 255, 1432, 916, 341, 12156, 253, 1619, 2549, 1577, 2776, 480, 248, 1619, 360, 359, 4733, 9961, 255, 263, 248, 10324, 1619, 32, 7172, 704, 43, 5614, 31910, 81, 6978, 21900, 64, 728, 1998, 1212, 448, 64, 1212, 27, 2296, 186, 1577, 859, 360, 2876, 12280, 271, 3268, 285, 248, 5818, 255, 264, 558, 2237, 2906, 326, 837, 3158, 270, 1065, 558, 326, 24689, 285, 1012, 4599, 1329, 270, 6187, 9406, 360, 409, 1012, 21151, 704, 15768, 70, 538, 270, 24854, 64, 728, 1998, 1212, 448, 64, 683, 27, 1551, 186, 1577, 859, 640, 409, 23711, 85, 4137, 341, 642, 335, 3068, 255, 25570, 289, 28836, 3574, 3191, 29395, 285, 585, 289, 939, 1091, 1296, 453, 9649, 942, 1539, 5558, 272, 3268, 2, 7172, 704, 21536, 21900, 64, 1298, 1998, 1212, 448, 64, 1298, 27, 643, 186, 1577, 3737, 255, 252, 2082, 276, 9327, 360, 359, 2216, 285, 4139, 486, 5775, 453, 1679, 956, 2919, 861, 360, 9256, 285, 2597, 1679, 270, 340, 10364, 19050, 353, 85, 558, 1232, 1215, 6200, 904, 2505, 272, 1679, 916, 476, 838, 276, 1460, 21151, 704, 21536, 21900, 64, 1298, 1998, 1212, 448, 64, 1298, 27, 2599, 474, 3403, 1949, 777, 461, 326, 705, 352, 4106, 2897, 270, 42, 2876, 3711, 1565, 697, 253, 4366, 272, 253, 6322, 2087, 270, 1132, 313, 650, 1949, 341, 313, 637, 22932, 1087, 1926, 474, 3, 1099, 543, 253, 8090, 32, 18615, 22862, 255, 344, 2428, 4961, 285, 326, 15656, 6000, 3, 909, 1611, 917, 359, 64, 19, 6708, 1926, 474, 1577, 1345, 625, 313, 1509, 2753, 270, 4007, 5152, 1329, 253, 1461, 272, 12976, 1654, 4671, 366, 270, 859, 1654, 4671, 366, 8076, 13851, 57, 255, 20372, 4742, 904, 1654, 5152, 1329, 270, 25570, 2129, 285, 5360, 341, 1844, 272, 12976, 335, 1408, 909, 1577, 25570, 22940, 642, 4742, 904, 423, 4755, 270, 21059, 12976, 423, 4755, 255, 249, 22940, 341, 1331, 642, 289, 28836, 5152, 9406, 253, 6322, 2087, 3815, 1408, 909, 1065, 409, 863, 1679, 289, 3824, 6322, 2087, 3793, 255, 332, 2543, 725, 366, 64, 25, 255, 1456, 255, 3523, 7365, 17808, 255, 772, 755, 64, 19, 359, 2901, 253, 1423, 909, 3403, 1949, 1804, 4961, 519, 83, 1876, 285, 585, 255, 2470, 366, 811, 360, 4539, 248, 1773, 3704, 12976, 270, 859, 532, 724, 28836, 255, 42, 3574, 285, 326, 448, 1608, 1868, 255, 1781, 22417, 12476, 15345, 1224, 253, 311, 3274, 409, 17286, 345, 1055, 7984, 285, 4298, 253, 3268, 1329, 909, 1345, 625, 289, 22417, 777, 285, 4407, 270, 21195, 253, 12280, 313, 2445, 28643, 84, 375, 1628, 12357, 255, 332, 341, 2129, 285, 326, 12530, 345, 285, 2798, 9820, 270, 859, 253, 12976, 1889, 612, 1464, 3385, 255, 1660, 650, 272, 713, 1560, 4470, 375, 6649, 642, 255, 549, 8090, 313, 2521, 285, 2798, 8351, 909, 859, 28836, 313, 3463, 22417, 248, 15101, 433, 6555, 248, 12280, 255, 1660, 532, 916, 3748, 341, 640, 4407, 276, 942, 248, 1119, 341, 28836, 558, 1012, 1408, 3268, 1329, 289, 461, 6649, 642, 270, 3300, 1408, 6526, 2110, 313, 276, 3008, 9449, 356, 475, 1123, 1262, 1654, 4143, 276, 253, 12414, 823, 344, 8090, 916, 2237, 326, 341, 1654, 3815, 22417, 64, 7748, 17, 32071, 356, 549, 423, 12022, 253, 64, 4066, 17, 28643, 84, 341, 423, 2129, 823, 332, 1253, 1464, 3385, 22417, 3337, 9406, 1844, 272, 28643, 84, 313, 2635, 255, 898, 29864, 396, 285, 64, 7748, 17, 32071, 289, 22940, 28836, 1329, 909, 2631, 1464, 3385, 255, 25570, 672, 326, 24689, 375, 637, 77, 20065, 289, 476, 285, 7043, 9033, 375, 596, 730, 64, 4066, 17, 28643, 84, 909, 4766, 2077, 640, 652, 1560, 476, 277, 8090, 341, 22417, 22940, 1408, 64, 7434, 17, 28643, 8982, 64, 4826, 17, 12357, 909, 4123, 270, 859, 640, 9256, 285, 1911, 755, 2018, 1485, 1648, 268, 806, 253, 12280, 255, 1660, 2018, 3586, 345, 811, 253, 6322, 2087, 1889, 255, 332, 811, 1331, 973, 650, 2173, 556, 27091, 270, 2058, 253, 1199, 2082, 917, 939, 326, 248, 4821, 272, 1854, 29383, 253, 1844, 272, 253, 12280, 276, 637, 4032, 25005, 2377, 356, 3475, 61, 1635, 7748, 17, 580, 29685, 255, 38, 3718, 64, 4066, 17, 580, 29685, 3929, 3475, 61, 1635, 7748, 17, 580, 38, 3718, 64, 4066, 17, 3, 580, 23713, 335, 9820, 909, 1577, 1130, 5874, 255, 1449, 11696, 4482, 697, 1105, 24088, 270, 1099, 939, 28836, 20915, 868, 7159, 32, 7172, 704, 42, 4476, 128, 212, 538, 481, 128, 212, 86, 21900, 64, 728, 1998, 1212, 448, 64, 1212, 27, 6577, 186, 1577, 42, 916, 7159, 276, 253, 1576, 272, 929, 8090, 396, 916, 326, 8403, 276, 253, 311, 3274, 709, 12976, 270, 1452, 255, 247, 486, 1576, 532, 916, 7159, 299, 3718, 84, 363, 22417, 5208, 335, 299, 3718, 84, 289, 28836, 12530, 270, 2318, 313, 248, 402, 1057, 80, 8090, 276, 1249, 8003, 21151, 704, 15768, 70, 538, 270, 24854, 64, 728, 1998, 1212, 448, 64, 683, 27, 6969, 186, 1577, 42, 916, 7159, 276, 253, 1576, 272, 929, 8090, 22417, 620, 253, 3268, 255, 549, 423, 23883, 904, 4955, 270, 9623, 13659, 1485, 7933, 2, 7172, 704, 21536, 21900, 64, 1298, 1998, 1212, 448, 64, 1298, 27, 2253, 186, 1577, 864, 12922, 15768, 70, 35, 31553, 84, 1120, 270, 42, 3711, 2901, 4407, 335, 253, 1387, 2338, 1683, 18, 406, 25570, 289, 28836, 812, 1319, 730, 5113, 697, 904, 640, 359, 3463, 1683, 19, 406, 3, 25570, 5208, 335, 299, 3718, 84, 289, 28836, 12530, 1045, 1449, 1213, 476, 461, 253, 5145, 408, 2946, 904, 640, 359, 7811, 697, 414, 2752, 558, 5245, 1868, 313, 341, 64, 24, 13, 15050, 15, 1623, 32071, 558, 5161, 253, 6526, 272, 28836, 1683, 20, 406, 347, 253, 8140, 356, 67, 26753, 250, 406, 2051, 22405, 272, 953, 247, 28643, 84, 1045, 3028, 5672, 255, 1345, 625, 558, 1900, 448, 1408, 2110, 650, 1600, 289, 1200, 277, 7073, 1224, 1654, 4755, 783, 1844, 956, 15718, 1319, 730, 953, 24, 13, 15050, 15, 1623, 5488, 950, 1683, 2542, 19730, 1469, 704, 39, 2938, 589, 21900, 64, 1298, 1998, 1212, 448, 64, 1551, 27, 1623, 186, 1577, 3700, 24297, 558, 2222, 953, 14889, 2662, 536, 2222, 28643, 84, 17241, 332, 341, 558, 1215, 863, 31579, 596, 12842, 1683, 2752, 697, 253, 356, 73, 4880, 406, 71, 4270, 20168, 24423, 1345, 625, 558, 1120, 285, 253, 871, 12579, 1602, 2039, 11325, 3194, 345, 1408, 6526, 2110, 289, 7743, 904, 6821, 4708, 1683, 21, 406, 12246, 341, 877, 871, 1199, 12692, 8029, 255, 1129, 916, 2906, 15086, 942, 248, 4701, 255, 264, 916, 326, 275, 26753, 250, 285, 953, 30621, 289, 4475, 276, 28643, 84, 7225, 7546, 255, 66, 10943, 2070, 369, 255, 88, 1845, 66, 12414, 6526, 2110, 23230, 10760, 255, 20583, 1350, 4506, 253, 15839, 15, 4542, 22, 406, 344, 914, 12835, 1119, 285, 1299, 253, 11588, 313, 953, 292, 861, 28836, 16563, 248, 16404, 1542, 9612, 335, 22417, 5488, 3, 28542, 1045, 344, 1515, 276, 1408, 6526, 718, 21151, 704, 39, 2938, 589, 21900, 64, 1298, 1998, 1212, 448, 64, 1551, 27, 3019, 474, 1132, 313, 929, 2443, 2428, 255, 3106, 917, 313, 929, 1472, 17495, 1306, 7126, 904, 939, 5245, 909, 673, 313, 4324, 877, 253, 871, 285, 4407, 345, 2232, 270, 859, 640, 409, 1197, 4407, 289, 873, 285, 7933, 255, 264, 5373, 345, 253, 3182, 1224, 640, 582, 341, 255, 332, 904, 800, 5086, 3992, 909, 465, 612, 1909, 255, 1345, 625, 558, 1012, 9406, 22417, 16382, 1408, 255, 332, 861, 640, 359, 1804, 5371, 255, 1449, 558, 1911, 396, 289, 4407, 345, 248, 966, 255, 332, 861, 461, 255, 249, 1560, 5792, 253, 28844, 1844, 276, 28643, 255, 263, 253, 1557, 1461, 276, 1164, 7438, 8936, 345, 811, 1331, 423, 2173, 1408, 27091, 375, 904, 423, 16837, 313, 1250, 909, 13606, 360, 2846, 8355, 276, 253, 831, 396, 313, 4707, 270, 859, 360, 4475, 299, 3718, 84, 360, 2768, 299, 3718, 84, 15041, 272, 1461, 17576, 9497, 917, 313, 783, 612, 30217, 1209, 276, 253, 4399, 474, 1577, 26827, 255, 8601, 1804, 13145, 697, 480, 414, 1432, 916, 360, 4079, 480, 285, 253, 1123, 18529, 1687, 911, 919, 1331, 3268, 558, 4475, 28836, 289, 2096, 32, 7172, 704, 42, 4476, 128, 212, 538, 481, 128, 212, 86, 21900, 64, 728, 1998, 1212, 448, 64, 1212, 27, 2510, 186, 1577, 25570, 313, 2779, 285, 2768, 299, 3718, 84, 285, 28836, 1262, 10091, 904, 22417, 4707, 255, 12891, 917, 313, 783, 612, 8090, 276, 1741, 270, 1345, 625, 558, 4475, 64, 22, 13, 1637, 299, 3718, 84, 8982, 1679, 270, 21059, 4955, 799, 1654, 2158, 2127, 1329, 285, 32071, 313, 345, 1408, 255, 12891, 917, 543, 783, 612, 8090, 276, 1741, 21151, 704, 373, 322, 21900, 64, 728, 1998, 1212, 448, 64, 1212, 27, 2253, 186, 1577, 1130, 532, 5874, 255, 1345, 625, 2524, 4475, 516, 5811, 1262, 1408, 6526, 2110, 313, 276, 32071, 270, 1611, 255, 8132, 1654, 4475, 3506, 23, 1204, 17, 32071, 65, 32, 7172, 704, 42, 4476, 128, 212, 538, 481, 128, 212, 86, 21900, 64, 728, 1998, 1212, 448, 64, 1212, 27, 1623, 186, 1577, 1345, 625, 10407, 1408, 12357, 285, 28643, 84, 448, 253, 1423, 649, 8085, 6989, 1654, 7043, 1329, 448, 253, 1275, 32, 7172, 704, 37, 7860, 46, 21900, 64, 728, 1998, 1212, 448, 64, 643, 27, 2644, 186, 1577, 9040, 12922, 42, 4476, 128, 212, 35, 481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22026, 414, 34, 8690, 285, 400, 2389, 28490, 276, 5468, 752, 186, 10082, 18696, 1790, 26218, 32356, 9063, 186, 93, 3013, 289, 811, 582, 532, 1540, 12732, 515, 276, 1249, 1854, 32, 2427, 186, 3215, 327, 515, 359, 461, 15650, 2196, 335, 5180, 312, 270, 1245, 1360, 486, 5180, 433, 4558, 2589, 270, 340, 3769, 272, 12732, 515, 313, 461, 2095, 28550, 1013, 270, 11252, 2096, 360, 359, 15339, 713, 289, 904, 6192, 248, 6453, 939, 3167, 453, 713, 314, 93, 3013, 582, 536, 19618, 32, 2427, 186, 36, 2389, 486, 3178, 620, 871, 1266, 5407, 414, 623, 5176, 649, 344, 612, 9592, 314, 3888, 255, 68, 14341, 1418, 248, 6453, 285, 15112, 1030, 341, 360, 14584, 375, 19618, 255, 6985, 713, 285, 4378, 248, 4161, 2258, 289, 285, 12196, 486, 18563, 289, 8351, 314, 21661, 255, 1129, 476, 277, 9592, 6831, 285, 14256, 799, 360, 693, 253, 1909, 272, 2165, 375, 476, 2511, 486, 8351, 453, 253, 6793, 289, 867, 272, 612, 7849, 314, 1099, 359, 253, 905, 1156, 186, 1099, 582, 532, 777, 285, 19618, 879, 1316, 276, 9695, 255, 68, 667, 270, 673, 313, 1811, 285, 806, 1934, 667, 255, 9516, 285, 1608, 20620, 26894, 29516, 270, 2986, 1811, 3960, 255, 2301, 486, 9744, 314, 1065, 1349, 19618, 12423, 360, 359, 21197, 1909, 375, 6793, 341, 359, 461, 486, 1395, 270, 1294, 1109, 326, 248, 1580, 28080, 255, 263, 248, 1381, 7511, 19454, 314, 8851, 2010, 289, 1602, 10125, 10515, 430, 6348, 582, 461, 777, 285, 326, 12969, 270, 974, 1123, 255, 344, 5779, 3929, 340, 22713, 272, 11121, 353, 262, 6953, 276, 64, 22216, 27471, 289, 543, 248, 30147, 19622, 335, 253, 632, 921, 24243, 5192, 20971, 1354, 255, 445, 2542, 10515, 430, 2010, 289, 916, 461, 777, 285, 326, 12969, 314, 3429, 532, 19618, 16745, 375, 612, 25167, 345, 11767, 2425, 879, 2828, 270, 24111, 285, 26980, 3309, 24360, 255, 344, 24789, 272, 16745, 2859, 974, 4290, 19134, 255, 1129, 2539, 276, 7340, 649, 8681, 1197, 19618, 253, 467, 16136, 5192, 340, 6075, 3476, 248, 338, 15759, 268, 1844, 272, 5167, 255, 2120, 906, 1030, 928, 332, 1215, 363, 1331, 341, 313, 26870, 255, 570, 1569, 753, 402, 22263, 255, 263, 1392, 1801, 275, 26753, 250, 270, 9636, 4838, 827, 255, 1129, 476, 929, 1119, 272, 1285, 2452, 272, 253, 8004, 272, 253, 1030, 255, 263, 1350, 891, 620, 2843, 396, 314, 93, 1099, 4446, 582, 532, 693, 285, 19618, 276, 1249, 1854, 32, 2427, 186, 3651, 272, 253, 2646, 272, 31787, 7951, 255, 292, 2104, 341, 724, 8925, 1114, 1485, 10284, 1145, 1320, 356, 332, 1350, 953, 24657, 24951, 1449, 476, 248, 10598, 4446, 414, 17646, 28490, 356, 70, 2263, 270, 1963, 744, 7951, 680, 93, 1099, 861, 10886, 259, 2389, 253, 1112, 2300, 806, 289, 806, 32, 2427, 186, 2631, 6555, 253, 2450, 17005, 253, 965, 720, 360, 693, 248, 2300, 255, 1129, 409, 693, 953, 42, 31478, 5192, 864, 5043, 253, 1112, 2300, 270, 3091, 345, 1018, 532, 31478, 314, 93, 1099, 4446, 582, 532, 693, 276, 1249, 538, 14281, 3536, 32, 2427, 186, 340, 3354, 4446, 272, 248, 867, 5373, 345, 253, 2646, 272, 341, 867, 270, 2467, 359, 6169, 285, 3401, 272, 253, 905, 1354, 2063, 270, 859, 248, 1697, 360, 777, 285, 3256, 1147, 461, 2141, 345, 480, 1567, 255, 14490, 486, 9744, 314, 3215, 327, 515, 359, 461, 15650, 2196, 335, 5180, 312, 1175, 939, 1360, 486, 5180, 433, 4558, 2589, 270, 340, 3769, 272, 12732, 515, 313, 461, 2095, 28550, 1013, 270, 11252, 2096, 360, 359, 15339, 713, 289, 904, 6192, 248, 6453, 939, 3167, 453, 713, 314, 18735, 8059, 414, 974, 12732, 515, 806, 64, 19, 3194, 1114, 414, 302, 264, 28080, 9020, 255, 569, 290, 64, 18, 11555, 649, 19009, 31835, 649, 2485, 461, 2587, 17575, 2091, 314, 49, 7674, 4793, 54, 9658, 414, 1799, 10689, 289, 6059, 359, 4688, 3436, 28080, 9020, 649, 2602, 722, 289, 12436, 319, 722, 255, 29261, 28080, 9020, 649, 69, 12045, 255, 17551, 9020, 255, 332, 381, 29327, 2436, 2141, 3436, 28080, 9020, 861, 640, 359, 657, 272, 253, 28080, 270, 340, 15948, 28080, 1711, 3218, 1253, 632, 29098, 314, 7670, 3238, 53, 5386, 28571, 16861, 414, 859, 360, 256, 1920, 1909, 276, 248, 28080, 255, 2120, 277, 14796, 15430, 255, 11097, 16548, 356, 2793, 823, 263, 2172, 448, 253, 1275, 272, 248, 5779, 314, 2020, 51, 2825, 6143, 7515, 27400, 4722, 9658, 414, 859, 917, 313, 248, 25250, 375, 31318, 3894, 276, 248, 28080, 255, 1129, 939, 9370, 797, 60, 84, 279, 62, 802, 317, 25767, 1387, 253, 3894, 270, 38, 2263, 3275, 465, 64, 3882, 18, 1726, 84, 279, 4048, 344, 11047, 4233, 5023, 2432, 16995, 3556, 31201, 414, 465, 12279, 255, 347, 360, 359, 259, 2389, 248, 2136, 19322, 356, 1526, 730, 64, 19, 3194, 823, 5622, 253, 21114, 877, 29855, 414, 70, 2263, 3275, 52, 251, 272, 5914, 250, 398, 255, 344, 24243, 359, 642, 285, 1039, 360, 255, 1845, 4126, 14052, 255, 344, 905, 9446, 2067, 636, 345, 3777, 23126, 344, 797, 16, 802, 30407, 248, 892, 1515, 314, 9440, 3702, 7730, 2350, 6039, 516, 11425, 8410, 16101, 7694, 6143, 8381, 39, 8410, 16101, 3008, 2350, 6039, 27400, 4722, 25758, 578, 465, 9253, 64, 1456, 255, 24808, 23444, 20255, 341, 797, 484, 272, 713, 255, 40, 688, 607, 289, 30791, 75, 527, 15792, 13, 1845, 5078, 2121, 636, 345, 566, 6311, 554, 8091, 90, 11933, 13, 1845, 30141, 5433, 255, 332, 914, 360, 289, 532, 724, 2299, 1845, 1283, 23007, 532, 77, 274, 1392, 255, 10203, 433, 16912, 9470, 2432, 53, 4552, 285, 452, 541, 353, 255, 12261, 258, 6462, 4740, 353, 388, 6161, 5502, 1682, 543, 652, 1249, 12896, 2588, 2748, 1088, 1694, 2210, 353, 10143, 275, 3165, 1845, 2318, 532, 881, 1694, 347, 341, 1372, 543, 3697, 1618, 5032, 20, 15, 6870, 14, 18, 1436, 4557, 12823, 7008, 414, 1294, 359, 1215, 6875, 7843, 1655, 5180, 270, 1245, 2515, 285, 1552, 248, 2808, 335, 253, 28080, 289, 1147, 5113, 285, 6167, 253, 7173, 270, 6378, 255, 247, 253, 965, 28080, 1515, 1982, 359, 461, 2843, 255, 549, 253, 2808, 272, 253, 28080, 313, 1350, 2258, 29597, 3048, 314, 465, 9253, 64, 1456, 255, 24808, 23444, 11761, 1055, 565, 412, 2188, 377, 366, 253, 11017, 279, 3759, 395, 363, 423, 1689, 2733, 721, 27867, 255, 88, 5841, 341, 797, 484, 272, 713, 255, 40, 688, 607, 289, 30791, 75, 527, 15792, 13, 1845, 5078, 2121, 636, 345, 566, 6311, 554, 8091, 90, 11933, 13, 1845, 30141, 5433, 255, 332, 914, 360, 289, 532, 724, 2299, 1845, 1283, 23007, 532, 77, 274, 1392, 255, 10203, 433, 16912, 9470, 5032, 1456, 15, 10897, 14, 13662, 1436, 974, 13812, 258, 255, 1901, 21064, 23444, 255, 344, 2513, 620, 2966, 248, 3084, 366, 5141, 255, 292, 276, 1408, 1011, 247, 3672, 562, 697, 4740, 353, 388, 6161, 5502, 1682, 543, 652, 1249, 12896, 2588, 2748, 1088, 1694, 2210, 353, 10143, 275, 3165, 1845, 2318, 532, 881, 1694, 347, 341, 1372, 543, 3697, 1618, 19620, 20, 15, 6870, 14, 18, 406, 7940, 1372, 1485, 566, 6311, 620, 1657, 273, 15025, 285, 248, 7223, 314, 4557, 12823, 7008, 414, 2467, 253, 12732, 515, 359, 17895, 20027, 1076, 289, 12969, 255, 332, 5261, 785, 285, 1360, 248, 1661, 519, 1569, 341, 11336, 277, 5180, 314, 9440, 3702, 7730, 2350, 6039, 525, 6700, 30847, 7008, 566, 23367, 2350, 6039, 27400, 4722, 25758, 578, 18, 406, 1130, 748, 87, 322, 3992, 3929, 465, 309, 16833, 5668, 277, 317, 398, 3893, 29012, 284, 279, 410, 831, 292, 7225, 9344, 270, 18, 15, 18, 1436, 4557, 12823, 7008, 414, 2467, 255, 66, 2136, 28080, 313, 1687, 276, 28080, 9020, 289, 313, 461, 1031, 7425, 453, 253, 1771, 272, 253, 1780, 649, 344, 6564, 313, 396, 265, 279, 1076, 289, 19031, 6115, 366, 248, 2496, 19031, 2365, 255, 332, 1232, 253, 2133, 966, 313, 1687, 5672, 433, 253, 1515, 966, 270, 34, 1784, 313, 253, 2496, 1119, 285, 4784, 2133, 289, 1515, 1982, 314, 19, 406, 1130, 748, 87, 322, 3992, 1270, 4126, 10812, 313, 285, 3338, 272, 5383, 5205, 186, 1283, 902, 3080, 649, 344, 16528, 255, 3255, 1509, 253, 1889, 1270, 12306, 870, 585, 6253, 263, 705, 532, 5845, 950, 1683, 9344, 270, 18, 15, 18, 14, 20, 1436, 4557, 12823, 7008, 414, 2467, 255, 344, 28080, 313, 1114, 255, 332, 705, 396, 313, 791, 9680, 270, 17145, 11054, 359, 15872, 270, 340, 17005, 313, 8983, 253, 1112, 276, 4446, 363, 276, 253, 2643, 1123, 255, 7713, 341, 2032, 29855, 359, 24216, 255, 332, 705, 536, 476, 64, 18, 14, 20, 4010, 272, 1215, 64, 18, 335, 253, 1515, 966, 314, 20, 406, 1130, 748, 87, 322, 3992, 3929, 67, 3861, 5205, 2735, 1283, 902, 3080, 3936, 7225, 9344, 270, 18, 15, 18, 14, 19, 1436, 4557, 12823, 7008, 414, 465, 480, 1123, 255, 66, 2136, 9815, 313, 12969, 341, 2845, 248, 1515, 3084, 314, 21, 406, 465, 1055, 32310, 255, 2895, 8464, 26976, 248, 1199, 4703, 5464, 433, 253, 4996, 4137, 2489, 68, 451, 74, 4067, 356, 23093, 66, 20, 14, 27030, 67, 24, 1436, 4557, 12823, 7008, 414, 600, 17005, 313, 461, 635, 8660, 818, 272, 29472, 3233, 255, 264, 1215, 8868, 253, 6453, 1224, 276, 253, 32310, 480, 5464, 409, 326, 1246, 270, 1316, 360, 3427, 285, 2232, 1655, 635, 8660, 396, 3233, 255, 1129, 939, 2340, 1804, 2286, 248, 17005, 13590, 486, 6453, 1224, 285, 1140, 253, 9815, 360, 359, 16807, 285, 314, 36, 2389, 5395, 3178, 356, 74, 3031, 270, 22373, 4411, 680, 7574, 752, 2965, 248, 10598, 255, 2557, 20732, 1135, 272, 4851, 2365, 270, 340, 1500, 4446, 335, 259, 2389, 9805, 7951, 578, 60, 11349, 17387, 17253, 12849, 12755, 16, 12328, 14548, 17089, 388, 255, 347, 9755, 10, 8537, 60, 17145, 4450, 84, 12969, 2228, 93, 41, 8309, 255, 42, 4070, 370, 64, 1212, 15, 16775, 14, 19255, 314, 52, 2525, 431, 815, 255, 7804, 330, 623, 64, 2857, 21, 14, 26, 2296, 314, 93, 24080, 630, 255, 48, 3674, 64, 21, 15, 18, 15, 18, 14, 21, 314, 55, 955, 307, 255, 38, 537, 450, 1005, 64, 18, 15, 18, 14, 728, 314, 93, 36, 279, 2940, 255, 3888, 16478, 307, 247, 4852, 64, 1499, 15, 19, 314, 2427, 2895, 8464, 255, 9399, 22239, 64, 23093, 66, 20, 14, 27030, 67, 24, 8701, 48, 31609, 10802, 272, 7544, 414, 859, 277, 2627, 6620, 914, 650, 867, 255, 1129, 672, 256, 1920, 253, 1933, 272, 253, 867, 649, 475, 1123, 414, 7940, 361, 327, 398, 64, 26, 15, 18, 649, 6201, 730, 10498, 361, 327, 398, 255, 31200, 1871, 64, 26, 15, 18, 314, 3741, 14724, 11428, 414, 3258, 9805, 4220, 289, 7951, 582, 476, 2496, 19031, 11428, 341, 360, 672, 1599, 285, 2346, 649, 3470, 409, 326, 345, 2924, 1422, 89, 1203, 273, 71, 270, 999, 253, 20786, 31787, 18766, 356, 13115, 22, 5631, 48, 26, 64, 971, 20, 406, 263, 345, 11767, 448, 9148, 36, 709, 17986, 3970, 462, 5483, 5162, 314, 28751, 1208, 414, 859, 360, 359, 1023, 980, 259, 2389, 248, 1661, 2133, 276, 248, 867, 255, 26097, 986, 1213, 2711, 356, 12755, 516, 469, 15007, 375, 9253, 64, 1212, 375, 9253, 2445, 55, 12129, 4650, 7410, 279, 9654, 255, 1458, 363, 797, 14318, 4368, 276, 253, 532, 4070, 370, 2106, 8132, 461, 326, 4088, 1076, 314, 25333, 414, 859, 360, 359, 3483, 248, 20507, 3014, 17005, 448, 253, 1275, 272, 248, 5779, 1019, 70, 2263, 1683, 41, 8309, 255, 48, 23842, 12943, 64, 18, 15, 18, 14, 20, 13026, 344, 1784, 2195, 4639, 253, 17005, 314, 36, 2389, 30062, 28490, 186, 340, 4446, 17149, 6304, 335, 21072, 341, 2141, 10938, 276, 1352, 272, 253, 1854, 289, 1288, 341, 2141, 276, 253, 4265, 17953, 270, 12873, 1540, 2627, 255, 8744, 255, 332, 2924, 1982, 270, 3403, 6925, 409, 1232, 5864, 486, 538, 14281, 3536, 335, 253, 2450, 17005, 272, 253, 867, 314, 974, 21072, 276, 486, 1771, 1500, 356, 6201, 730, 276, 248, 4265, 12246, 823, 7617, 962, 253, 1030, 366, 27051, 289, 1741, 1485, 253, 3691, 29098, 272, 253, 5779, 314, 3, 42, 31478, 5192, 262, 277, 19031, 2365, 272, 27739, 322, 388, 356, 12246, 253, 1784, 448, 253, 1275, 272, 532, 31478, 13665, 822, 313, 8904, 335, 953, 247, 253, 1112, 1741, 5192, 673, 6704, 341, 360, 359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 437, 6741, 1680, 478, 1002, 355, 12643, 16, 1382, 16, 1382, 17, 1382, 17, 270, 2438, 27003, 2735, 9369, 4672, 356, 8826, 5411, 23132, 1742, 406, 18641, 13456, 6306, 4316, 2100, 10734, 26299, 3727, 8120, 27003, 546, 12980, 576, 2464, 20759, 520, 8177, 442, 764, 5038, 421, 1037, 10522, 439, 10708, 13164, 11103, 576, 2464, 3175, 1931, 421, 7753, 964, 669, 8885, 64, 6486, 15, 1382, 22, 7286, 10209, 2973, 31925, 739, 5567, 1715, 22004, 31242, 13912, 358, 3188, 10522, 439, 3389, 1793, 25927, 404, 540, 9396, 362, 1839, 466, 10275, 17401, 466, 5067, 2614, 421, 1793, 26020, 26429, 421, 8100, 1081, 466, 29625, 270, 468, 1968, 18515, 644, 30580, 7096, 520, 2771, 16446, 692, 17084, 1604, 1578, 1004, 1471, 10522, 439, 15849, 16446, 692, 17084, 1604, 1578, 1004, 1471, 421, 1793, 4823, 9028, 415, 337, 19249, 692, 940, 4078, 16743, 331, 1307, 439, 358, 29816, 28257, 4823, 64, 29499, 32249, 2098, 692, 17084, 1604, 1578, 1004, 684, 64, 12830, 32249, 2098, 692, 27959, 507, 14294, 1307, 961, 437, 595, 1081, 466, 25064, 742, 478, 1968, 18515, 644, 30580, 7096, 520, 2771, 16446, 692, 17084, 1604, 1578, 1004, 1471, 421, 1793, 16220, 702, 3866, 5625, 546, 20214, 2734, 2190, 7912, 421, 19351, 29625, 4614, 466, 7390, 2719, 421, 1037, 7176, 2864, 520, 16402, 294, 215, 411, 520, 5235, 2454, 439, 3389, 1793, 9248, 25709, 8002, 699, 2366, 5001, 17634, 466, 10275, 7803, 295, 14655, 1051, 3419, 19766, 421, 1037, 26180, 766, 2777, 439, 10518, 669, 4823, 440, 1840, 1279, 493, 684, 17825, 609, 699, 1578, 1486, 576, 295, 14655, 421, 26162, 421, 4820, 466, 5235, 11683, 520, 439, 3740, 1351, 6338, 419, 639, 804, 11538, 24002, 3075, 421, 6869, 28604, 385, 4863, 255, 442, 1301, 1710, 296, 362, 1968, 1490, 1198, 255, 15246, 6583, 421, 4212, 951, 557, 255, 28382, 26429, 692, 295, 6064, 736, 24124, 255, 337, 5268, 951, 506, 692, 1226, 1206, 255, 404, 1155, 910, 9057, 692, 2089, 764, 384, 27959, 1578, 255, 27524, 2320, 736, 404, 8454, 421, 22834, 1002, 255, 23103, 520, 10604, 331, 3438, 255, 1401, 5726, 404, 18060, 8542, 9324, 372, 13984, 1014, 421, 3424, 644, 669, 13776, 16220, 702, 4078, 16743, 331, 1307, 684, 27959, 1578, 1486, 692, 11175, 1307, 439, 5612, 17870, 546, 20214, 2734, 2190, 9248, 13456, 6306, 702, 3512, 520, 26089, 546, 7627, 3985, 699, 7283, 1471, 421, 1037, 14503, 16695, 493, 546, 10814, 15416, 692, 503, 809, 5487, 1307, 961, 7388, 5436, 25927, 404, 540, 9396, 362, 1839, 466, 10275, 17401, 546, 20214, 2734, 2190, 9248, 13456, 6306, 702, 1739, 869, 295, 14655, 692, 3866, 15849, 13314, 8258, 684, 295, 2609, 266, 296, 520, 17590, 1166, 669, 14918, 493, 692, 26998, 2455, 910, 692, 8177, 19058, 522, 9134, 439, 23223, 6306, 702, 1739, 869, 22915, 684, 11783, 3917, 520, 6512, 404, 2463, 1702, 466, 1614, 3462, 421, 4447, 24706, 255, 3770, 2320, 1037, 4083, 10831, 8177, 19058, 522, 429, 439, 29113, 266, 5669, 10110, 421, 343, 507, 6434, 522, 466, 255, 404, 763, 22290, 421, 588, 2295, 385, 466, 255, 24576, 503, 18667, 692, 21851, 296, 13991, 692, 10567, 2314, 14, 8753, 1193, 14147, 439, 4403, 1752, 19806, 4791, 8258, 439, 26400, 1493, 3917, 684, 22915, 421, 6512, 404, 2463, 1702, 466, 24706, 8177, 19058, 522, 429, 439, 29113, 266, 5669, 10110, 22290, 421, 588, 2295, 385, 466, 14918, 31174, 692, 16605, 12224, 1193, 14262, 439, 19846, 9134, 1561, 684, 6600, 466, 9229, 520, 19400, 2170, 439, 16186, 3310, 4014, 421, 1037, 5986, 764, 331, 4014, 421, 17935, 415, 463, 26640, 692, 16605, 1561, 439, 24576, 493, 421, 16466, 15820, 1742, 1113, 692, 16605, 11959, 1965, 7760, 856, 1193, 4184, 439, 4657, 1674, 3512, 421, 1907, 546, 557, 14, 2075, 557, 576, 6437, 5854, 439, 337, 23363, 20905, 576, 786, 684, 21501, 1008, 520, 24869, 1014, 692, 15255, 742, 463, 429, 439, 4403, 1752, 19806, 429, 439, 358, 1301, 1612, 26703, 702, 1739, 429, 355, 24576, 1188, 1665, 404, 3947, 297, 32433, 13107, 1612, 8986, 12905, 884, 2715, 8826, 439, 8276, 466, 21922, 22203, 463, 520, 14918, 26260, 2320, 421, 739, 7111, 19629, 4360, 692, 11726, 16802, 468, 429, 439, 17251, 14890, 692, 10990, 21922, 836, 692, 1193, 14217, 21922, 22203, 463, 26260, 2320, 466, 21922, 546, 4946, 522, 7889, 639, 10990, 576, 669, 8067, 2981, 742, 1307, 1445, 429, 439, 3990, 463, 836, 692, 15914, 20768, 3464, 576, 5227, 13319, 429, 14699, 7912, 546, 29023, 8853, 684, 3538, 7938, 576, 28786, 421, 1037, 26260, 2320, 692, 32094, 684, 14325, 2187, 429, 2276, 23223, 6306, 702, 25927, 404, 540, 9396, 362, 1839, 466, 1739, 869, 588, 638, 3471, 8390, 4014, 520, 14870, 11849, 12933, 439, 15140, 764, 331, 26260, 2320, 466, 9833, 295, 2724, 8205, 692, 669, 7096, 2187, 429, 439, 17251, 609, 376, 463, 702, 9833, 520, 8585, 295, 2724, 463, 3372, 421, 1550, 2454, 429, 439, 30854, 588, 638, 3471, 692, 31411, 429, 439, 404, 1839, 493, 421, 14957, 6613, 692, 26763, 684, 9229, 7699, 3564, 429, 439, 11580, 7200, 520, 9562, 421, 1037, 593, 6237, 266, 9773, 576, 7105, 24777, 856, 429, 26763, 493, 576, 7867, 546, 2311, 595, 856, 429, 439, 5059, 3585, 836, 466, 362, 1839, 493, 17308, 3529, 1301, 493, 520, 13688, 2297, 439, 5059, 3585, 4014, 11485, 546, 7105, 24777, 1556, 429, 439, 8979, 466, 10246, 10141, 546, 255, 540, 1840, 1279, 493, 27959, 1578, 1486, 546, 11175, 11949, 429, 439, 3681, 2866, 6661, 385, 10141, 546, 10785, 411, 439, 19642, 295, 493, 4014, 466, 10246, 10141, 421, 6723, 669, 5574, 11949, 429, 439, 3990, 16495, 836, 4926, 2131, 429, 869, 1226, 3223, 4994, 4401, 6352, 18680, 429, 439, 10799, 6613, 669, 11363, 13688, 940, 12312, 429, 439, 29687, 421, 5714, 358, 684, 4338, 11533, 20002, 684, 5030, 11021, 3564, 429, 439, 2710, 466, 440, 12176, 9376, 4522, 546, 2864, 493, 421, 14957, 1193, 3751, 439, 4590, 19058, 296, 19335, 3564, 3751, 439, 442, 9436, 421, 5030, 466, 13864, 9521, 12872, 429, 439, 8150, 22290, 421, 4231, 440, 1097, 27824, 669, 23917, 742, 463, 540, 3996, 295, 2724, 8205, 540, 3996, 702, 22290, 546, 12135, 1471, 466, 20661, 1976, 429, 439, 331, 12090, 297, 590, 6640, 692, 3314, 32307, 669, 429, 439, 1401, 2378, 940, 6871, 2618, 3751, 439, 404, 468, 468, 18227, 1669, 11061, 576, 3314, 3751, 439, 21249, 10255, 466, 22290, 520, 23238, 836, 669, 30444, 10780, 1307, 1561, 439, 17251, 609, 376, 463, 14918, 493, 702, 2311, 20768, 1976, 2720, 2864, 493, 546, 29678, 266, 11614, 429, 439, 8150, 3512, 466, 25176, 19150, 669, 11051, 588, 2187, 429, 439, 8342, 8272, 28647, 27275, 3133, 1561, 3626, 6545, 8272, 692, 12150, 12135, 766, 1445, 439, 8342, 8272, 7699, 421, 1037, 3985, 3118, 520, 12082, 520, 429, 439, 1367, 511, 25463, 466, 628, 8205, 8272, 692, 13333, 1543, 1531, 439, 24576, 493, 421, 26998, 2455, 910, 576, 4033, 3487, 684, 7678, 3751, 439, 8342, 8272, 576, 5227, 13319, 11051, 4099, 429, 439, 2922, 3177, 1051, 595, 18532, 3985, 3118, 546, 18227, 439, 17580, 1210, 13636, 2297, 1669, 8272, 520, 628, 8205, 836, 24777, 7538, 439, 8342, 8272, 684, 295, 14655, 5669, 10110, 2089, 782, 692, 9309, 11565, 28559, 429, 439, 3389, 1793, 11773, 684, 2715, 7803, 786, 439, 2678, 3462, 295, 14655, 684, 8390, 4014, 546, 14595, 7820, 439, 365, 4814, 13360, 12954, 869, 8390, 4014, 421, 7699, 466, 7867, 19000, 26769, 439, 28966, 24085, 466, 10687, 684, 295, 2724, 8205, 421, 1037, 12119, 266, 14634, 23236, 439, 4403, 1752, 588, 5836, 961, 506, 1113, 404, 540, 9396, 362, 1839, 466, 7420, 18087, 26779, 702, 17870, 546, 20214, 2734, 2190, 1739, 869, 16220, 692, 5345, 1287, 295, 14655, 466, 1614, 2866, 1443, 5130, 576, 19806, 4791, 8258, 439, 8979, 546, 5669, 32383, 520, 11763, 508, 2073, 10592, 8254, 4184, 439, 4868, 2583, 421, 1793, 9412, 421, 5809, 4014, 421, 32383, 546, 20690, 9984, 429, 439, 442, 1155, 3529, 1301, 421, 739, 7111, 19629, 4360, 466, 16220, 5854, 786, 439, 23223, 692, 295, 14655, 466, 22107, 18845, 421, 3727, 466, 12556, 19806, 429, 9735, 6545, 10119, 18532, 421, 27165, 6332, 421, 1793, 3175, 540, 5786, 1471, 421, 1793, 19187, 8945, 7916, 429, 439, 11982, 520, 8770, 520, 5130, 576, 940, 19806, 684, 12520, 20000, 429, 439, 337, 23363, 520, 1108, 26260, 2320, 466, 22241, 628, 6651, 684, 4014, 421, 27156, 493, 520, 19565, 520, 429, 2720, 25418, 9833, 546, 17308, 3529, 1301, 14595, 593, 2187, 429, 439, 25313, 3687, 18617, 546, 6930, 6930, 16681, 466, 1307, 1445, 429, 439, 10900, 684, 3281, 1300, 692, 21851, 296, 3687, 18617, 2719, 421, 1037, 19236, 429, 439, 23223, 692, 343, 507, 6434, 522, 1919, 856, 26260, 2320, 684, 2324, 964, 856, 4572, 1486, 421, 1037, 10648, 429, 439, 609, 376, 463, 22869, 520, 26260, 2320, 421, 9237, 669, 3462, 29223, 442, 1155, 11038, 1181, 331, 14294, 1486, 684, 14918, 493, 503, 24705, 493, 546, 13660, 19712, 17845, 439, 337, 23363, 421, 5854, 15125, 255, 24576, 493, 684, 15255, 1486, 692, 295, 14655, 466, 19806, 961, 337, 6064, 4882, 21352, 4920, 1371, 692, 3487, 9106, 355, 23223, 421, 478, 266, 376, 1674, 466, 492, 8145, 964, 25021, 421, 4231, 20663, 295, 2304, 5507, 421, 5809, 1051, 12430, 295, 6064, 4882, 21352, 3316, 588, 1445, 439, 7069, 19115, 1287, 8779, 25650, 702, 5391, 10099, 3842, 4099, 439, 506, 1113, 404, 540, 9396, 576, 2435, 9697, 7644, 15835, 1002, 3175, 23965, 7877, 343, 18629, 975, 951, 3097, 421, 15891, 23963, 702, 16220, 6306, 421, 295, 2304, 5507, 546, 295, 6064, 4882, 21352, 4920, 1371, 692, 9106, 1307, 1669, 22729, 702, 14031, 3842, 4099, 684, 9237, 669, 7390, 3196, 702, 3168, 9211, 466, 4099, 961, 19155, 466, 7630, 14, 24594, 371, 669, 16220, 13456, 6306, 692, 19806, 1471, 421, 1037, 5244, 21357, 684, 27870, 940, 7390, 786, 439, 18641, 2100, 10734, 26299, 3727, 421, 23970, 421, 3926, 8120, 27003, 546, 7070, 64, 1218, 2952, 1151, 6908, 520, 8177, 442, 764, 940, 17913, 439, 3389, 6869, 3558, 64, 2345, 2583, 32249, 2098, 692, 17084, 1604, 1578, 1004, 7820, 684, 64, 12830, 24698, 1742, 520, 6845, 609, 3219, 2977, 4915, 439, 2438, 27003, 466, 16220, 13456, 6306, 16184, 18035, 8373, 20952, 6822, 22883, 520, 5130, 576, 1051, 25130, 692, 940, 15563, 318, 18708, 7820, 2276, 506, 1113, 404, 540, 9396, 466, 21922, 609, 376, 463, 1947, 1490, 384, 10255, 11726, 466, 5067, 2614, 421, 1793, 16220, 15418, 12150, 576, 11431, 2435, 9697, 7644, 28646, 439, 11132, 9776, 576, 18742, 1702, 337, 1598, 9729, 576, 2720, 6545, 11281, 4548, 4338, 506, 9057, 466, 10246, 18742, 1702, 437, 24680, 669, 24426, 4915, 439, 19518, 576, 1466, 576, 26020, 26429, 7457, 466, 8100, 1081, 4548, 29625, 270, 468, 1968, 18515, 644, 9028, 9657, 2324, 3740, 3577, 4915, 255, 10518, 29625, 270, 468, 1968, 18515, 644, 520, 2771, 16446, 692, 1727, 15029, 1471, 421, 1793, 16220, 520, 3866, 5625, 940, 5635, 439, 437, 1068, 1081, 466, 3866, 5625, 421, 1793, 9248, 18742, 1702, 337, 1598, 9729, 576, 10831, 10209, 3188, 3577, 4915, 439, 19518, 576, 15418, 12150, 576, 17825, 337, 2131, 1181, 16204, 12126, 439, 371, 2229, 337, 2131, 1181, 16204, 466, 16184, 22883, 18476, 520, 5130, 576, 10275, 2715, 30829, 25325, 1210, 692, 13660, 31357, 1471, 421, 1550, 1287, 4338, 11786, 421, 27959, 1578, 1486, 684, 9412, 421, 9022, 12881, 576, 5854, 8481, 3943, 493, 6512, 17858, 7820, 439, 8054, 7589, 421, 1793, 16220, 15418, 12150, 576, 11431, 10209, 3188, 18742, 1702, 437, 24680, 12126, 439, 28733, 14261, 15649, 280, 13164, 7286, 16220, 13912, 358, 3188, 31242, 576, 9050, 4672, 421, 1037, 703, 8330, 7820, 961, 506, 1113, 404, 540, 9396, 362, 1839, 466, 16220, 6306, 21922, 609, 376, 463, 1181, 20061, 809, 421, 7512, 29984, 522, 25927, 404, 540, 9396, 520, 1181, 21598, 1210, 1188, 2279, 297, 692, 32188, 7820, 439, 9164, 64, 12830, 1151, 1151, 4360, 466, 5283, 16629, 3990, 493, 421, 24244, 692, 4078, 16743, 331, 7820, 961, 506, 1113, 404, 540, 9396, 362, 1839, 466, 1287, 9248, 5994, 14175, 5998, 739, 2885, 782, 1004, 297, 27619, 478, 415, 20844, 639, 3687, 18617, 255, 21790, 64, 6706, 11481, 2098, 466, 15546, 7589, 3487, 429, 255, 1752, 15563, 318, 18708, 7820, 439, 3389, 1550, 1287, 3558, 5994, 14175, 5998, 739, 2885, 782, 1004, 297, 12007, 24724, 940, 17683, 7820, 961, 3389, 1793, 16220, 6306, 11431, 2435, 9697, 7644, 15835, 4915, 255, 10518, 3558, 25064, 742, 478, 1968, 18515, 644, 30580, 7096, 520, 64, 2922, 2345, 975, 8373, 22077, 296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 959, 785, 253, 23174, 286, 424, 8288, 12154, 1135, 64, 1499, 2219, 1204, 2219, 1456, 2219, 1626, 2219, 1212, 2219, 683, 289, 253, 3468, 2975, 785, 276, 253, 4876, 64, 643, 359, 6386, 276, 8311, 272, 20071, 13339, 10071, 64, 643, 2219, 959, 6067, 253, 462, 8844, 16975, 877, 64, 17, 270, 465, 849, 1602, 22394, 2082, 3756, 14577, 255, 581, 10934, 253, 966, 272, 13811, 10796, 453, 64, 643, 285, 5177, 12083, 341, 253, 3351, 272, 253, 2450, 12316, 3259, 8703, 626, 4496, 4019, 861, 253, 966, 272, 13811, 10796, 2621, 313, 1319, 730, 16592, 596, 730, 64, 2947, 13811, 10796, 359, 2621, 276, 253, 11924, 272, 253, 12316, 19015, 255, 344, 3351, 272, 253, 2450, 12316, 3259, 24436, 28909, 289, 2714, 637, 27309, 799, 3232, 13811, 10796, 359, 2621, 276, 253, 1602, 22394, 3683, 314, 2193, 738, 25961, 366, 253, 17360, 272, 253, 12316, 3259, 255, 344, 3894, 2273, 366, 253, 2450, 12316, 3259, 24436, 652, 7578, 4019, 799, 596, 730, 64, 2947, 13811, 10796, 359, 2621, 276, 253, 1602, 22394, 2082, 3756, 3683, 270, 7021, 276, 849, 1190, 2348, 253, 2330, 1684, 536, 476, 3583, 64, 4149, 13811, 10796, 285, 2762, 253, 12316, 19015, 270, 2193, 346, 10917, 1136, 289, 19553, 1780, 270, 2281, 755, 12316, 19015, 359, 335, 4179, 5331, 2062, 314, 40, 11337, 28755, 1666, 6704, 253, 2082, 966, 272, 10796, 2216, 285, 476, 4311, 3132, 12316, 19015, 289, 6089, 270, 600, 313, 2237, 2398, 285, 248, 2732, 276, 253, 2330, 255, 74, 270, 24319, 14475, 272, 2450, 12316, 3259, 24436, 270, 4007, 282, 6350, 9371, 751, 276, 253, 11844, 359, 4442, 433, 253, 17482, 3559, 363, 1020, 363, 253, 3559, 272, 7496, 13228, 22920, 270, 340, 23707, 289, 253, 12316, 277, 31849, 14666, 272, 1559, 2130, 409, 326, 6257, 276, 2377, 272, 253, 11844, 2115, 270, 959, 3694, 248, 4019, 991, 19531, 2712, 275, 1926, 8184, 255, 74, 270, 600, 1109, 326, 2033, 285, 2032, 2189, 3483, 253, 2732, 276, 253, 748, 41, 6932, 2143, 255, 12752, 20587, 1509, 276, 253, 965, 4797, 7201, 289, 2732, 276, 253, 4179, 2330, 5470, 289, 10437, 1936, 335, 253, 7201, 314, 340, 2330, 10821, 2062, 314, 7021, 255, 344, 2330, 16285, 272, 3458, 4662, 5677, 335, 1559, 2130, 8312, 9535, 276, 1333, 308, 850, 253, 1967, 382, 5545, 395, 27301, 717, 289, 27257, 11153, 270, 8244, 9190, 2076, 965, 4797, 11322, 366, 10016, 748, 41, 289, 579, 2143, 1547, 3458, 4662, 5677, 313, 652, 6217, 285, 253, 8965, 272, 1559, 2130, 270, 465, 1829, 255, 344, 579, 289, 748, 41, 2143, 272, 1559, 2130, 313, 1724, 285, 1836, 23707, 8200, 996, 255, 344, 937, 313, 1199, 15892, 255, 344, 965, 4797, 11322, 2348, 253, 579, 289, 748, 41, 1275, 5182, 272, 1559, 2130, 5043, 341, 253, 3458, 5677, 9907, 10357, 725, 285, 253, 5924, 314, 465, 4604, 285, 253, 3520, 965, 4797, 11322, 64, 1058, 2219, 344, 3458, 5677, 10991, 473, 1275, 5182, 1559, 2130, 4507, 433, 5849, 8991, 28255, 4340, 313, 4019, 705, 967, 1547, 3458, 5677, 272, 10991, 473, 289, 748, 41, 13744, 1559, 2130, 453, 253, 1309, 1190, 652, 1487, 26158, 453, 253, 965, 4797, 11322, 64, 1298, 2219, 1058, 9586, 270, 1283, 849, 2010, 255, 1534, 359, 929, 6158, 1528, 345, 253, 3458, 5677, 335, 253, 748, 41, 1275, 5182, 272, 1559, 2130, 270, 340, 3458, 25740, 335, 253, 748, 41, 1275, 5182, 453, 871, 902, 965, 4797, 7201, 11222, 1415, 8090, 64, 1298, 2219, 1452, 255, 3470, 11322, 359, 448, 10437, 1936, 2062, 314, 959, 3510, 4718, 753, 18714, 965, 4797, 3458, 5677, 1528, 366, 25786, 4507, 3458, 5677, 453, 2643, 64, 728, 2219, 1551, 289, 1309, 1996, 9586, 314, 600, 313, 2237, 285, 476, 7466, 335, 991, 13909, 1224, 1559, 2130, 10865, 285, 11141, 748, 41, 4388, 363, 3694, 276, 17911, 991, 2302, 1339, 25630, 279, 10548, 64, 19, 2219, 22, 270, 340, 6200, 335, 253, 11055, 1610, 10821, 272, 253, 5677, 1109, 326, 4019, 5135, 433, 2507, 596, 1528, 2348, 253, 579, 289, 748, 41, 1275, 3267, 270, 1611, 1565, 1349, 326, 3022, 799, 21631, 253, 937, 272, 5924, 345, 253, 3458, 5677, 270, 959, 7695, 253, 937, 272, 13811, 4951, 345, 253, 23707, 289, 3458, 5677, 9586, 270, 8742, 345, 253, 937, 272, 2330, 255, 23130, 255, 332, 8965, 255, 581, 4399, 341, 255, 17, 314, 465, 1460, 285, 1290, 811, 253, 2333, 3162, 942, 363, 3458, 5677, 4496, 2348, 253, 10283, 11153, 276, 27077, 847, 1768, 268, 23942, 255, 581, 7695, 3458, 5677, 289, 277, 31849, 14666, 272, 10283, 11153, 276, 253, 2489, 64, 19, 748, 64, 20, 1926, 20649, 48, 64, 19, 1926, 41, 64, 19, 748, 1734, 79, 592, 746, 255, 822, 2845, 289, 265, 398, 667, 255, 5937, 7039, 413, 255, 8815, 319, 6135, 255, 373, 17944, 255, 23003, 2411, 74, 255, 7402, 15527, 732, 667, 255, 332, 1559, 2130, 314, 600, 313, 5737, 366, 253, 6535, 276, 2028, 27257, 10283, 11153, 5177, 9609, 253, 23707, 272, 2191, 2167, 11844, 1559, 2130, 366, 248, 338, 80, 27586, 5091, 272, 2489, 64, 19, 16151, 48, 64, 21, 579, 64, 18, 270, 465, 1559, 2130, 255, 344, 3458, 5677, 10432, 363, 248, 1295, 2330, 289, 5924, 2062, 270, 959, 4399, 341, 1559, 2130, 620, 650, 272, 253, 10061, 2330, 16285, 2370, 382, 5545, 395, 27301, 717, 289, 612, 2028, 27257, 11153, 314, 8759, 2917, 390, 1528, 5043, 341, 1559, 2130, 313, 3958, 277, 262, 25052, 289, 13279, 366, 612, 27257, 11153, 289, 382, 5545, 395, 307, 7921, 10339, 270, 959, 652, 4399, 341, 253, 3458, 5677, 255, 3434, 1639, 70, 2330, 272, 10283, 11153, 4496, 363, 248, 1295, 272, 5088, 276, 253, 7206, 9409, 382, 5545, 395, 27301, 717, 11153, 16762, 285, 253, 2489, 64, 19, 748, 64, 20, 1926, 20649, 48, 64, 19, 1926, 41, 64, 19, 748, 1734, 79, 592, 746, 341, 359, 3973, 335, 253, 27077, 847, 1768, 271, 23942, 314, 2281, 878, 5080, 375, 8070, 1305, 480, 1190, 359, 3583, 276, 480, 3729, 2357, 289, 800, 12167, 12713, 6316, 4816, 270, 35, 455, 251, 255, 46, 270, 340, 4718, 16986, 3162, 272, 10991, 1938, 392, 2130, 270, 1345, 633, 7329, 255, 34, 270, 57, 9726, 2167, 1934, 23322, 2115, 31587, 272, 277, 748, 41, 13700, 1559, 2130, 453, 393, 32554, 706, 22314, 1734, 11043, 13722, 5713, 1926, 30299, 7660, 272, 253, 7966, 877, 1046, 4679, 289, 10991, 473, 2143, 270, 35, 983, 4209, 255, 46, 270, 340, 1980, 272, 579, 14, 13007, 4538, 682, 5570, 345, 253, 11844, 2115, 272, 805, 72, 3367, 14137, 1559, 2130, 270, 24622, 255, 51, 270, 19538, 89, 2123, 13700, 1559, 2130, 276, 991, 29736, 289, 17911, 5183, 29736, 564, 18784, 2716, 29619, 2716, 255, 1229, 1649, 6502, 4299, 4912, 6024, 667, 255, 2236, 253, 393, 32554, 1734, 11043, 255, 70, 8947, 5713, 314, 56, 4159, 255, 35, 270, 5956, 29736, 8950, 289, 3162, 272, 748, 41, 13700, 1559, 2130, 270, 8269, 11337, 254, 255, 56, 314, 355, 5133, 349, 23181, 1823, 414, 340, 9244, 3536, 314, 355, 11155, 2188, 14, 3451, 9154, 30669, 4344, 3348, 2915, 255, 247, 5530, 12069, 255, 497, 247, 6932, 307, 677, 255, 332, 613, 9458, 7898, 314, 355, 3053, 13632, 6750, 18766, 272, 30342, 985, 314, 355, 10863, 67, 2328, 551, 391, 414, 34, 8607, 272, 21831, 4852, 255, 19955, 289, 17277, 356, 45, 4166, 386, 2112, 19429, 15641, 512, 599, 4166, 2437, 22554, 1436, 355, 36, 824, 23098, 2276, 12443, 4299, 583, 1339, 25630, 279, 10548, 414, 344, 29809, 25826, 270, 2164, 80, 255, 52, 270, 1038, 1202, 6765, 272, 7206, 9409, 10339, 276, 13552, 289, 5230, 14, 31842, 30862, 1541, 6290, 19767, 414, 2698, 4330, 335, 1071, 4526, 276, 847, 7072, 12329, 270, 19252, 80, 26633, 3162, 272, 17631, 2123, 255, 5885, 2130, 255, 5937, 7039, 413, 255, 84, 260, 20848, 289, 604, 279, 77, 568, 270, 46, 922, 488, 75, 1481, 255, 46, 15, 5024, 15, 1244, 6591, 258, 312, 3411, 5875, 86, 23592, 2046, 1054, 16, 398, 66, 16, 10063, 1503, 751, 1542, 2716, 2588, 14, 19, 30565, 186, 3449, 8418, 721, 11844, 8965, 272, 1559, 2130, 414, 34, 1797, 2039, 1033, 1525, 1190, 186, 15299, 21676, 270, 54, 77, 992, 255, 40, 270, 52, 9703, 255, 39, 270, 37, 22420, 272, 12316, 19015, 272, 248, 2167, 1934, 23322, 1559, 2130, 289, 556, 2330, 14475, 3629, 10993, 13811, 1135, 270, 31549, 255, 48, 314, 1799, 6128, 272, 12392, 2130, 186, 51, 374, 9574, 1381, 3453, 286, 81, 24837, 13811, 8239, 4340, 272, 13811, 14677, 289, 800, 3043, 285, 253, 11924, 272, 23707, 448, 991, 5331, 270, 4914, 21943, 255, 51, 270, 2789, 251, 417, 14677, 19994, 270, 12405, 255, 40, 270, 5956, 24636, 2235, 251, 417, 19759, 11809, 270, 52, 1566, 16143, 414, 34, 7247, 270, 46, 330, 77, 1455, 74, 255, 34, 270, 15828, 312, 272, 248, 3159, 31639, 14677, 19994, 746, 335, 253, 4963, 272, 253, 12316, 787, 31658, 272, 1324, 4833, 15944, 314, 12422, 2899, 255, 42, 270, 9845, 16076, 272, 248, 16059, 1381, 3453, 286, 81, 24837, 11844, 289, 800, 2769, 285, 11924, 272, 12316, 19015, 272, 8766, 263, 73, 6055, 279, 14925, 270, 55, 952, 9663, 255, 56, 270, 2164, 253, 2642, 10796, 272, 2072, 16076, 272, 17597, 302, 11536, 289, 277, 262, 25052, 12316, 3359, 270, 2789, 251, 417, 14677, 19994, 414, 1532, 10457, 285, 6718, 255, 27678, 5700, 255, 332, 309, 710, 408, 15369, 4890, 270, 25403, 12862, 276, 253, 16260, 8568, 64, 4355, 2219, 11205, 44, 302, 1921, 86, 255, 44, 270, 41, 587, 2448, 255, 51, 270, 340, 12316, 19015, 272, 277, 262, 25052, 2500, 314, 9850, 2130, 414, 29538, 255, 2602, 485, 289, 1030, 186, 11557, 255, 14509, 255, 29973, 255, 332, 10839, 255, 5540, 77, 531, 1072, 2622, 255, 37, 270, 2124, 12316, 3259, 878, 345, 10339, 3973, 285, 2792, 2525, 5933, 270, 34, 16191, 1135, 335, 13628, 253, 402, 1639, 70, 2330, 453, 12316, 19015, 270, 6891, 91, 32021, 255, 58, 270, 340, 4718, 16986, 3162, 272, 1559, 2130, 4833, 3645, 289, 783, 5494, 6079, 279, 3043, 270, 28231, 268, 1690, 255, 35, 270, 7086, 2067, 2833, 4190, 2173, 335, 1559, 2130, 289, 338, 659, 1148, 14735, 1625, 3017, 248, 1811, 1780, 272, 253, 1071, 2143, 272, 253, 4903, 270, 43, 3221, 5000, 255, 43, 270, 21292, 253, 4510, 3557, 350, 3102, 414, 21962, 289, 1214, 25740, 314, 40, 2938, 66, 255, 40, 270, 8759, 2917, 6218, 289, 6712, 3963, 272, 1559, 2130, 448, 991, 2302, 270, 8759, 2917, 2600, 289, 2302, 10146, 2115, 3963, 272, 1559, 2130, 725, 285, 64, 2950, 15551, 66, 270, 51, 451, 1808, 255, 49, 270, 340, 11844, 2115, 272, 1559, 2130, 289, 800, 5601, 285, 2333, 3162, 314, 340, 11844, 2115, 272, 1559, 2130, 956, 4862, 19979, 34, 5957, 41, 31264, 186, 1038, 1203, 83, 9881, 255, 45, 270, 19252, 19897, 272, 27257, 10339, 355, 3578, 270, 340, 5280, 1559, 2130, 341, 313, 1412, 13145, 366, 9579, 353, 282, 473, 313, 9889, 2191, 289, 313, 3630, 433, 31652, 12727, 289, 1232, 8267, 2132, 14925, 270, 15910, 258, 12392, 2130, 313, 253, 10740, 26715, 10203, 2219, 332, 15853, 12392, 2130, 313, 277, 10902, 289, 3786, 14991, 4440, 10203, 335, 9987, 270, 340, 2115, 272, 12392, 2130, 313, 5739, 433, 248, 5866, 844, 2115, 272, 4245, 13697, 16873, 66, 970, 6329, 270, 1294, 16873, 66, 970, 6329, 476, 277, 13310, 276, 253, 4739, 17719, 433, 2172, 2823, 18359, 611, 314, 26093, 289, 2151, 253, 13310, 359, 253, 31409, 375, 17419, 11958, 270, 340, 13454, 272, 16873, 66, 970, 6329, 359, 5580, 2307, 433, 1430, 3858, 7921, 24694, 970, 6329, 1175, 396, 313, 253, 16873, 66, 26654, 13454, 341, 2286, 1559, 2130, 800, 25613, 3607, 314, 9850, 2130, 313, 253, 32740, 3858, 7921, 10283, 289, 650, 272, 253, 32740, 10339, 276, 2646, 270, 1452, 396, 620, 248, 4425, 1414, 23807, 696, 313, 13370, 285, 253, 13454, 289, 313, 3318, 433, 17705, 341, 3084, 253, 20794, 2489, 16875, 255, 1345, 14, 13007, 289, 2489, 6932, 10954, 270, 6000, 272, 253, 9083, 16151, 16875, 10954, 3555, 755, 17705, 314, 9850, 2130, 14925, 409, 4105, 253, 18029, 2091, 272, 2032, 5118, 8731, 270, 9850, 2130, 409, 1039, 1199, 12474, 10283, 15944, 2033, 285, 556, 991, 311, 13547, 255, 79, 625, 6395, 289, 1020, 4462, 289, 22941, 17548, 271, 14925, 270, 45, 13547, 313, 530, 353, 26859, 285, 3873, 250, 555, 270, 5678, 14183, 14925 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14604, 26792, 313, 11861, 248, 24292, 363, 1020, 363, 248, 20131, 2439, 270, 673, 3036, 1288, 276, 777, 272, 1704, 11730, 2188, 2033, 285, 783, 8488, 375, 5707, 375, 818, 612, 2338, 270, 673, 2434, 253, 1704, 26792, 248, 24292, 30472, 363, 396, 3815, 248, 1372, 30175, 7076, 285, 945, 289, 2081, 314, 9, 5512, 32653, 20757, 5399, 7563, 414, 4854, 4583, 17435, 15663, 272, 15473, 1003, 6431, 453, 400, 370, 21747, 1072, 4624, 717, 31680, 340, 1391, 1352, 3476, 5394, 64, 21, 285, 64, 22, 25411, 1704, 341, 409, 326, 1746, 483, 1253, 253, 7809, 272, 253, 3704, 2396, 335, 2616, 289, 64, 21, 3385, 335, 2659, 270, 2124, 3896, 341, 1704, 26792, 409, 2286, 783, 2962, 1869, 345, 556, 1352, 255, 7620, 255, 1662, 313, 461, 2987, 314, 14604, 255, 344, 905, 2521, 1352, 4392, 255, 31677, 1704, 2392, 409, 1783, 277, 7769, 3139, 861, 253, 777, 313, 461, 12994, 26775, 270, 1611, 255, 12953, 26792, 313, 248, 1372, 30175, 4535, 270, 2467, 255, 581, 558, 1911, 253, 3185, 363, 1020, 363, 253, 3769, 272, 1704, 26792, 314, 7620, 255, 581, 1746, 1197, 777, 818, 1661, 4170, 335, 1704, 26792, 255, 2401, 1652, 849, 1395, 4170, 696, 409, 326, 818, 650, 272, 755, 27, 9550, 355, 5469, 369, 1704, 1262, 248, 5818, 5208, 285, 582, 705, 314, 355, 5469, 369, 1704, 335, 486, 2456, 5182, 375, 248, 5818, 1560, 777, 1704, 783, 1600, 314, 355, 2124, 3896, 396, 313, 253, 1250, 3376, 285, 582, 314, 11388, 1704, 360, 1746, 369, 3815, 3404, 1750, 5455, 448, 1372, 270, 2080, 1600, 341, 1472, 24297, 1306, 4993, 326, 248, 2718, 2736, 255, 66, 5818, 255, 66, 11441, 650, 1694, 263, 1350, 360, 2432, 1099, 359, 253, 20277, 272, 17064, 17354, 312, 879, 959, 2524, 23188, 253, 1057, 341, 248, 1704, 26792, 313, 248, 24292, 718, 270, 673, 313, 461, 914, 3399, 1175, 652, 620, 2032, 3185, 578, 2124, 945, 777, 19541, 1704, 289, 433, 1746, 751, 849, 1704, 536, 3224, 2286, 713, 1372, 270, 600, 313, 650, 272, 253, 7553, 12434, 650, 409, 1979, 270, 673, 2434, 471, 1979, 18363, 289, 409, 652, 2286, 471, 248, 3443, 272, 1372, 1019, 344, 5982, 341, 360, 1509, 248, 2732, 285, 3404, 554, 1372, 314, 19, 270, 7707, 1044, 17064, 276, 253, 17064, 11117, 186, 14604, 6484, 1197, 914, 2216, 276, 1576, 272, 7749, 375, 14115, 1175, 652, 335, 29535, 375, 9452, 2216, 433, 248, 2727, 270, 465, 942, 2162, 255, 347, 248, 4982, 1844, 272, 1704, 313, 1895, 276, 248, 1704, 6526, 255, 16040, 409, 326, 4721, 23535, 270, 1611, 255, 6890, 939, 7197, 1746, 369, 1704, 285, 2737, 277, 4982, 17966, 272, 1704, 335, 253, 777, 90, 448, 1250, 720, 314, 20, 270, 5899, 383, 1034, 17024, 3524, 186, 2631, 1704, 26792, 255, 344, 1046, 1366, 10357, 696, 4991, 285, 1514, 19334, 270, 600, 313, 248, 3229, 901, 696, 8868, 341, 253, 1746, 254, 313, 3683, 289, 6071, 270, 2968, 2889, 1352, 24662, 1034, 289, 1021, 272, 849, 1095, 2491, 652, 2404, 7848, 642, 270, 7021, 255, 12953, 26792, 1528, 276, 248, 3229, 1352, 341, 3962, 849, 19946, 314, 21, 270, 13088, 3548, 16586, 32572, 1969, 186, 6478, 1746, 751, 1704, 255, 264, 554, 2216, 285, 12183, 248, 1095, 9909, 270, 34, 9064, 5506, 15822, 480, 2806, 1211, 270, 673, 2845, 578, 355, 12953, 2302, 186, 355, 7450, 2330, 186, 355, 1056, 17275, 1943, 186, 600, 14176, 29014, 1167, 1211, 409, 3703, 6595, 8418, 721, 486, 1095, 270, 673, 409, 3224, 3839, 1800, 341, 1109, 5043, 277, 5954, 2755, 2559, 375, 1608, 2189, 335, 783, 4028, 270, 3403, 1704, 313, 652, 6034, 335, 2032, 4028, 942, 363, 578, 355, 249, 4237, 3631, 538, 186, 355, 249, 4237, 3631, 400, 186, 355, 19256, 27045, 4879, 186, 22, 270, 19991, 13210, 272, 13528, 10051, 186, 14604, 26792, 672, 2587, 253, 1608, 272, 2376, 4211, 289, 2376, 1807, 363, 1020, 270, 600, 313, 1262, 396, 7578, 253, 1704, 554, 8959, 270, 34, 1190, 1246, 341, 3152, 1704, 26792, 6488, 10357, 253, 2468, 8772, 696, 15907, 2215, 11122, 1807, 314, 23, 270, 11408, 641, 24573, 30557, 186, 21531, 313, 277, 1156, 10283, 272, 253, 1352, 2129, 285, 2856, 3117, 1704, 1514, 356, 51, 35, 6528, 795, 1507, 255, 31677, 5945, 409, 326, 7961, 363, 1020, 285, 248, 1217, 554, 1095, 270, 673, 409, 5048, 721, 1967, 8377, 272, 253, 1352, 255, 1458, 363, 2376, 289, 6227, 255, 332, 672, 1836, 253, 9167, 272, 253, 1327, 314, 24, 270, 35, 19881, 3968, 1871, 186, 34, 1704, 26792, 652, 3036, 276, 10156, 10111, 270, 673, 18334, 725, 285, 64, 22810, 10111, 604, 26792, 255, 6442, 285, 253, 1251, 270, 2447, 6555, 1704, 313, 461, 277, 4690, 285, 3649, 314, 25, 270, 19991, 13210, 272, 10599, 186, 34, 1190, 1246, 248, 20722, 276, 253, 1608, 272, 783, 11791, 276, 945, 891, 1746, 717, 1704, 7197, 270, 1294, 359, 253, 11791, 341, 5701, 285, 991, 5945, 1943, 255, 505, 186, 9, 1065, 462, 469, 32653, 20757, 5399, 7563, 414, 1099, 3166, 2905, 265, 292, 8369, 646, 1019, 23369, 255, 12925, 255, 25310, 762, 4911, 30881, 84, 680, 1099, 359, 253, 4308, 11952, 20277, 272, 17064, 17354, 312, 879, 5469, 751, 1704, 620, 3185, 335, 486, 5903, 1095, 363, 1020, 270, 4001, 285, 253, 20998, 3548, 8626, 255, 8681, 751, 1704, 409, 578, 355, 19167, 2688, 186, 355, 19276, 486, 5903, 1020, 8720, 186, 355, 35, 27146, 486, 2333, 1095, 186, 355, 13162, 1012, 8043, 272, 2962, 7477, 186, 355, 19167, 11590, 289, 5013, 253, 2699, 272, 16762, 186, 7620, 255, 3470, 359, 253, 3185, 272, 1704, 26792, 255, 6131, 22967, 253, 3769, 272, 1704, 26792, 335, 1213, 253, 15268, 289, 12909, 363, 1020, 314, 1316, 396, 3218, 285, 1704, 26792, 917, 359, 705, 1021, 2404, 285, 849, 2605, 844, 3364, 532, 1746, 369, 1704, 255, 1432, 5392, 532, 409, 1746, 369, 289, 1021, 596, 270, 1611, 255, 1781, 554, 1911, 755, 2436, 9550, 7382, 3364, 17354, 369, 17064, 879, 3258, 272, 253, 945, 409, 1746, 369, 1704, 270, 1065, 409, 1746, 369, 1704, 861, 360, 359, 578, 355, 39, 264, 289, 3229, 186, 355, 16718, 877, 64, 1489, 9731, 289, 64, 9299, 9731, 186, 355, 34, 3132, 877, 64, 1212, 285, 64, 5585, 314, 355, 4636, 64, 3200, 289, 1746, 483, 1704, 276, 253, 2121, 871, 1233, 314, 919, 748, 4934, 4583, 3364, 17354, 369, 17064, 879, 15488, 409, 1746, 369, 1255, 64, 20, 2396, 289, 2659, 409, 1746, 369, 1255, 64, 21, 3385, 314, 340, 1354, 4170, 22201, 939, 2806, 861, 640, 409, 1746, 369, 359, 578, 355, 4461, 9951, 2755, 375, 6806, 1778, 186, 355, 2631, 2507, 248, 26462, 1537, 375, 244, 31456, 186, 355, 8578, 289, 1253, 7089, 186, 355, 31996, 8740, 186, 355, 9852, 2481, 186, 355, 2631, 7923, 1704, 2624, 255, 12953, 255, 263, 8377, 314, 1099, 313, 253, 26912, 21362, 462, 1318, 289, 579, 15131, 17354, 626, 879, 15488, 1412, 1999, 363, 5643, 22201, 1262, 578, 355, 15488, 554, 4173, 1352, 2353, 6704, 341, 640, 476, 5339, 5945, 1943, 270, 15488, 359, 1319, 2237, 730, 2659, 285, 4537, 1953, 4529, 1514, 255, 4983, 29535, 359, 596, 5673, 785, 335, 11730, 18345, 314, 355, 15488, 26287, 1366, 313, 2340, 2031, 255, 549, 640, 359, 596, 2237, 285, 326, 7869, 363, 26287, 22201, 314, 2776, 20815, 29090, 24744, 17224, 272, 17064, 17354, 312, 879, 7326, 255, 1534, 359, 8597, 272, 3769, 272, 1704, 26792, 255, 1534, 359, 783, 2097, 1980, 272, 1704, 26792, 363, 1020, 27975, 355, 1316, 253, 26792, 313, 3760, 276, 248, 3156, 1119, 255, 8681, 751, 1704, 313, 3399, 314, 355, 859, 248, 1704, 6526, 693, 255, 3710, 23564, 255, 1662, 672, 1357, 253, 1608, 272, 1704, 32317, 3822, 314, 355, 9381, 285, 480, 2338, 255, 264, 313, 657, 272, 3152, 1704, 5076, 285, 693, 892, 23564, 335, 973, 289, 1255, 26792, 289, 285, 1267, 1255, 1217, 285, 12139, 556, 4465, 314, 34, 1217, 409, 2002, 783, 2097, 1980, 255, 292, 248, 943, 272, 1746, 751, 1704, 270, 5897, 578, 355, 31996, 28925, 186, 1294, 2426, 558, 3867, 873, 1042, 1363, 64, 20, 2449, 272, 6555, 1704, 314, 859, 253, 1217, 554, 5945, 1943, 1246, 1798, 1730, 1253, 248, 1746, 751, 1704, 255, 1129, 1959, 556, 7489, 272, 5945, 26082, 3845, 15, 1901, 270, 889, 7711, 255, 1201, 247, 563, 255, 332, 5945, 1834, 441, 1451, 30035, 289, 7599, 888, 314, 1099, 359, 253, 17234, 17064, 22159, 341, 359, 462, 1154, 453, 4504, 1624, 17064, 879, 5469, 483, 1704, 409, 326, 12039, 9132, 289, 785, 285, 1039, 248, 3251, 272, 902, 2624, 255, 1758, 578, 18, 270, 10571, 17064, 21284, 578, 673, 14067, 4524, 270, 340, 905, 25127, 12865, 272, 1746, 483, 1704, 313, 2843, 3117, 1704, 1514, 285, 7989, 253, 4524, 285, 10836, 8848, 272, 556, 1395, 1704, 314, 1294, 359, 2216, 335, 1704, 18222, 1003, 270, 5512, 891, 777, 4173, 29535, 359, 945, 366, 1953, 4028, 255, 1458, 363, 19426, 255, 263, 1288, 7045, 453, 248, 3931, 20925, 487, 356, 814, 5802, 1436, 20, 270, 12988, 21284, 578, 1294, 359, 657, 272, 253, 4529, 746, 270, 34, 1217, 366, 1319, 14207, 672, 476, 783, 3931, 3822, 255, 4993, 326, 1687, 3406, 1514, 285, 5013, 556, 4529, 746, 314, 673, 313, 253, 4792, 3147, 272, 1704, 270, 2895, 18616, 3036, 1959, 253, 3709, 272, 253, 1704, 314, 673, 313, 1246, 276, 9452, 289, 396, 5927, 272, 18222, 1003, 2189, 270, 36, 627, 392, 28281, 12858, 409, 326, 4633, 2255, 483, 453, 9452, 289, 313, 4533, 785, 285, 1447, 6391, 10713, 314, 1099, 359, 253, 17234, 20128, 272, 17064, 17354, 312, 879, 340, 902, 2063, 272, 1704, 32695, 359, 578, 18, 270, 23633, 20875, 17354, 312, 578, 340, 1354, 650, 255, 21145, 16321, 606, 313, 1746, 483, 276, 480, 1697, 255, 1758, 272, 3117, 289, 3406, 1704, 1514, 255, 449, 18616, 255, 22607, 3861, 255, 6829, 7486, 255, 22607, 3861, 255, 332, 612, 3351, 314, 19, 270, 2895, 18616, 17354, 312, 578, 673, 313, 652, 1724, 363, 1472, 547, 11624, 262, 8034, 2895, 18616, 313, 5356, 453, 253, 612, 3351, 3629, 248, 2384, 3836, 255, 344, 3117, 1704, 1514, 359, 1687, 1329, 285, 253, 15268, 276, 9540, 3442, 253, 2103, 26792, 314, 20, 270, 2895, 369, 1781, 17354, 312, 578, 673, 554, 1724, 363, 26287, 81, 11624, 262, 270, 600, 313, 2598, 276, 253, 1119, 363, 253, 9452, 26792, 620, 2598, 255, 772, 1213, 253, 3117, 1514, 289, 9452, 359, 1687, 1329, 285, 253, 15268, 314, 21, 270, 5285, 20875, 17354, 312, 578, 673, 313, 18418, 1485, 253, 4279, 375, 11730, 2188, 255, 66, 1217, 1746, 717, 556, 1395, 1704, 335, 556, 2095, 15566, 314, 22, 270, 10527, 271, 375, 7484, 483, 17354, 312, 578, 34, 15268, 409, 1746, 369, 1704, 341, 558, 326, 2258, 785, 335, 248, 1661, 1217, 314, 7620, 255, 714, 536, 1911, 253, 4366, 272, 253, 1704, 26792, 255, 1758, 253, 3185, 289, 253, 3769, 272, 1704, 26792, 270, 1611, 255, 12953, 26792, 313, 1156, 335, 253, 17853, 363, 1020, 363, 15268, 255, 2919, 15268, 1012, 1021, 1095, 3185, 1253, 1704, 26792, 270, 1507, 255, 264, 620, 783, 5944, 2097, 1980, 1798, 696, 409, 4711, 1363, 64, 20, 2449, 861, 360, 359, 3229, 2512, 285, 1746, 369, 1704, 270, 1611, 255, 73, 2090, 360, 1290, 253, 3769, 272, 17064, 26792, 335, 253, 3457, 289, 480, 672, 652, 870, 360, 285, 1746, 369, 1704, 12423, 360, 1979, 314, 9, 5512, 32653, 20757, 5399, 7563, 414, 10884, 4583, 9803, 13178, 452, 5755, 1978, 380, 8461, 2949, 1607, 24744, 17224, 31680, 6293, 10474, 254, 414, 7289, 46, 2248, 74, 313, 248, 7508, 289, 248, 1999, 369, 5831, 4302, 696, 10865, 285, 3622, 1255, 13635, 272, 253, 5831, 2129, 289, 8306, 270, 7289, 46, 2248, 74, 19896, 253, 17966, 272, 632, 1095, 6109, 255, 6452, 5996, 255, 332, 1030, 453, 253, 3548, 6824, 289, 7328, 4938, 285, 253, 3938, 272, 6925, 270, 2281, 272, 253, 1030, 289, 6348, 5874, 276, 253, 10585, 46, 2248, 74, 28998, 359, 12750, 7695, 289, 18654, 433, 253, 7328, 4938, 289, 3548, 10182, 1116, 255, 4312, 3363, 2300, 272, 1030, 313, 9606, 335, 253, 1112, 314, 8167, 10585, 46, 2248, 74, 414, 7289, 46, 2248, 74, 313, 248, 2103, 5831, 28200, 255, 1529, 360, 409, 9253, 3648, 1725, 377, 8224, 7328, 4938, 255, 5390, 11482, 23519, 312, 255, 17295, 19770, 1016, 11482, 255, 332, 15473, 304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4159, 303, 13369, 289, 4037, 3020, 27020, 186, 7289, 1868, 335, 596, 697, 2905, 4159, 303, 13369, 186, 5324, 1822, 253, 7570, 953, 344, 13474, 1485, 253, 11102, 1045, 3016, 453, 879, 46, 1717, 81, 1481, 255, 29973, 255, 251, 28358, 400, 361, 186, 600, 1354, 9128, 620, 1940, 657, 272, 849, 8614, 1952, 289, 313, 785, 285, 4539, 1021, 4400, 612, 730, 5316, 270, 1507, 396, 4379, 1168, 800, 4423, 84, 2370, 5316, 26567, 270, 340, 2946, 341, 917, 359, 13474, 5316, 1936, 1215, 1485, 248, 11102, 620, 838, 1591, 248, 1114, 720, 270, 340, 28080, 13474, 2730, 707, 461, 1114, 1655, 248, 11102, 3955, 315, 4623, 1329, 285, 64, 18822, 23, 314, 5559, 1485, 248, 1515, 272, 25788, 303, 13369, 7162, 721, 277, 1666, 255, 5117, 272, 471, 476, 12083, 253, 2543, 29171, 289, 277, 299, 254, 589, 13474, 1031, 276, 341, 2174, 67, 3311, 253, 19309, 285, 2404, 270, 340, 27020, 1072, 2150, 1847, 4037, 3020, 27020, 24923, 4952, 270, 30638, 4198, 19812, 7783, 341, 480, 1560, 5245, 799, 248, 4025, 4502, 9404, 6701, 90, 255, 9752, 9123, 315, 289, 4178, 1936, 366, 1590, 14929, 341, 13263, 2286, 1119, 285, 2352, 25788, 303, 13369, 366, 328, 551, 90, 14929, 255, 25256, 7102, 289, 444, 307, 363, 253, 4502, 10549, 270, 3737, 255, 9204, 8332, 19309, 942, 363, 613, 413, 10106, 409, 3574, 285, 13263, 3971, 345, 2543, 289, 7102, 255, 250, 21942, 253, 13474, 1936, 341, 991, 1874, 2302, 672, 476, 6297, 1215, 2954, 1485, 314, 1316, 396, 3218, 285, 13391, 31016, 289, 612, 12235, 8063, 2227, 255, 1365, 3436, 253, 9675, 1730, 2302, 4223, 16713, 289, 1232, 1412, 26381, 1929, 3589, 253, 11102, 270, 465, 1288, 2162, 255, 84, 2375, 1874, 356, 5183, 2302, 406, 19877, 335, 2132, 1161, 397, 289, 4536, 1590, 14929, 345, 253, 11258, 90, 272, 253, 11102, 255, 11203, 248, 13474, 5820, 1215, 1485, 253, 273, 1755, 272, 253, 8063, 623, 7162, 276, 270, 1507, 480, 1147, 461, 5245, 276, 1255, 1576, 314, 7098, 253, 13474, 1485, 253, 11102, 672, 326, 276, 849, 12105, 270, 3651, 19309, 1412, 3574, 285, 1700, 276, 13263, 255, 11203, 942, 248, 1645, 2917, 2732, 453, 253, 1936, 536, 5772, 1215, 1485, 253, 11102, 255, 344, 621, 3456, 1106, 5316, 1412, 4224, 13474, 433, 6168, 270, 1611, 536, 672, 3322, 15550, 341, 917, 543, 13474, 1485, 253, 11102, 270, 3440, 1915, 5316, 1936, 1440, 9907, 255, 1229, 7102, 289, 2543, 2958, 9423, 272, 248, 11102, 746, 255, 549, 917, 313, 929, 13474, 255, 2401, 248, 13373, 15027, 1880, 314, 3429, 20893, 370, 4301, 5245, 30460, 186, 263, 914, 276, 1953, 1915, 272, 253, 935, 879, 3013, 582, 20893, 23951, 5245, 905, 186, 247, 20893, 7606, 382, 4209, 879, 56, 531, 74, 289, 30521, 858, 1270, 53, 2277, 370, 4301, 409, 831, 276, 818, 2396, 276, 253, 2886, 2900, 255, 772, 253, 5743, 2984, 966, 272, 713, 276, 253, 2560, 5170, 1233, 620, 2404, 276, 5620, 255, 11815, 6804, 433, 8802, 289, 9292, 270, 1245, 476, 6953, 276, 1255, 1402, 272, 253, 706, 2744, 270, 332, 345, 1255, 16315, 272, 253, 1280, 6667, 28772, 1224, 253, 1874, 4997, 1197, 476, 2512, 8038, 335, 25788, 303, 13369, 285, 831, 270, 1507, 363, 360, 5874, 255, 2154, 1672, 276, 253, 3884, 657, 272, 253, 5842, 3275, 53, 2277, 7606, 2489, 4209, 802, 23189, 13346, 272, 12253, 255, 48, 16379, 2101, 4642, 255, 44, 20215, 289, 5329, 1860, 15685, 270, 1245, 1012, 596, 20893, 370, 4301, 1868, 730, 10718, 4093, 276, 253, 3182, 356, 332, 10718, 4093, 276, 253, 1280, 255, 475, 341, 3029, 406, 3106, 755, 3276, 359, 276, 253, 4425, 6767, 285, 1012, 4025, 6134, 1874, 453, 253, 20508, 272, 12053, 255, 23300, 1874, 453, 7631, 289, 3908, 1874, 453, 253, 11913, 270, 1316, 341, 4069, 3218, 2307, 255, 292, 396, 1147, 3958, 1412, 276, 480, 1666, 255, 344, 1874, 409, 1940, 18194, 255, 332, 341, 2434, 1936, 436, 5379, 335, 248, 20893, 7606, 285, 831, 270, 4284, 253, 1784, 877, 64, 2586, 26, 289, 64, 1605, 25, 1288, 2172, 3276, 356, 29069, 255, 14306, 255, 16861, 255, 22223, 406, 15008, 3015, 17901, 2479, 272, 632, 20893, 370, 4301, 16704, 314, 919, 2501, 2634, 409, 360, 6761, 248, 186, 42, 2371, 480, 1949, 285, 1547, 27020, 24997, 554, 3931, 5316, 5271, 4952, 270, 30638, 4198, 19812, 270, 1682, 8868, 585, 341, 341, 253, 3264, 10432, 366, 7380, 272, 253, 20893, 7606, 289, 11743, 1936, 255, 772, 905, 945, 409, 6761, 248, 20893, 7606, 453, 248, 17060, 2634, 255, 332, 4034, 453, 2032, 6974, 2634, 314, 2776, 396, 2987, 341, 536, 939, 186, 1297, 1409, 248, 18547, 1305, 248, 25788, 17123, 879, 17795, 90, 610, 926, 255, 5824, 186, 13403, 741, 24341, 596, 945, 345, 2984, 1255, 935, 730, 20893, 370, 4301, 289, 13391, 31016, 5632, 270, 340, 14823, 1119, 285, 2798, 10151, 313, 285, 1012, 3436, 248, 2137, 375, 612, 338, 29760, 3519, 1305, 248, 25788, 17123, 17638, 1350, 21839, 255, 1129, 939, 6061, 904, 360, 582, 270, 13403, 741, 7749, 359, 4565, 21839, 255, 772, 1350, 705, 255, 264, 313, 1763, 461, 285, 4482, 345, 248, 10569, 271, 15490, 255, 20583, 1409, 248, 9236, 375, 18547, 255, 332, 3711, 693, 5114, 17797, 270, 859, 20253, 20726, 3589, 6229, 3194, 255, 28365, 14893, 375, 15865, 255, 344, 5114, 1557, 409, 3561, 21839, 270, 3737, 255, 16944, 6061, 20253, 453, 277, 1994, 7984, 375, 5778, 270, 5295, 3763, 363, 6918, 363, 18364, 3589, 314, 2056, 783, 621, 14, 28350, 289, 433, 1387, 783, 2343, 3863, 255, 1129, 409, 2798, 253, 10151, 272, 2646, 709, 1590, 1223, 255, 332, 4956, 800, 10958, 4010, 314, 974, 596, 345, 25788, 17123, 3426, 453, 253, 3695, 27020, 8019, 255, 2853, 285, 556, 10343, 554, 20253, 3426, 5188, 448, 15487, 15, 2541, 12532, 7261, 15, 2899, 12723, 13789, 15811, 1099, 720, 272, 935, 359, 186, 85, 2277, 370, 4301, 1354, 276, 14148, 879, 22172, 9315, 6904, 368, 7815, 186, 55, 2940, 4439, 563, 255, 13073, 186, 2056, 632, 253, 25788, 303, 13369, 276, 253, 6328, 3385, 453, 8267, 289, 26874, 8038, 255, 30483, 620, 10750, 272, 4612, 335, 20893, 370, 4301, 818, 2396, 272, 253, 935, 270, 340, 4828, 275, 688, 21635, 289, 612, 2543, 6173, 3194, 2712, 14550, 289, 18549, 409, 326, 253, 2300, 272, 253, 9153, 335, 755, 20893, 370, 4301, 270, 1507, 8802, 313, 253, 6770, 720, 255, 1229, 277, 2984, 272, 1215, 775, 64, 13195, 20893, 370, 4301, 1305, 253, 2396, 270, 6343, 313, 2381, 255, 1229, 248, 2483, 596, 730, 64, 7434, 255, 11815, 433, 9733, 366, 248, 2483, 1319, 270, 18646, 25922, 253, 2082, 966, 272, 20893, 370, 4301, 255, 1229, 697, 64, 2857, 375, 705, 270, 974, 248, 2854, 272, 20893, 370, 4301, 2396, 9405, 21801, 276, 14148, 255, 1129, 409, 873, 1868, 414, 6205, 3343, 5024, 5799, 7957, 15, 2899, 12723, 13789, 20859, 67, 16, 19684, 17343, 347, 14455, 2896, 1106, 380, 2263, 347, 186, 3651, 253, 16404, 4918, 284, 2733, 22129, 8391, 721, 14148, 1305, 8675, 289, 9292, 255, 85, 2277, 7606, 9998, 2876, 6770, 448, 480, 720, 272, 253, 935, 255, 2160, 253, 5433, 11940, 20893, 7606, 12215, 543, 276, 11467, 272, 64, 1605, 25, 314, 4284, 6059, 272, 6391, 186, 2541, 741, 532, 476, 2195, 8109, 3399, 255, 263, 12649, 341, 939, 326, 17424, 255, 2446, 10886, 276, 248, 1152, 270, 1316, 186, 8601, 448, 2137, 289, 20253, 3969, 255, 42, 2195, 2798, 7811, 345, 253, 6229, 270, 4126, 1949, 578, 1099, 84, 253, 1763, 6813, 335, 1288, 1915, 799, 24617, 276, 248, 1152, 276, 248, 20253, 11102, 289, 186, 4084, 1046, 6229, 14689, 879, 5559, 285, 1039, 2452, 345, 480, 255, 42, 13251, 366, 1547, 27020, 24997, 709, 3931, 5316, 5271, 4952, 270, 30638, 4198, 19812, 270, 2467, 313, 1055, 19166, 578, 1132, 313, 929, 2650, 10151, 272, 20177, 486, 1046, 6229, 276, 253, 1152, 255, 12891, 360, 476, 396, 528, 22296, 721, 486, 1152, 709, 25370, 17856, 22288, 363, 248, 1323, 2300, 270, 11188, 276, 248, 1152, 8749, 277, 6151, 11937, 272, 3426, 255, 292, 917, 543, 248, 3520, 1123, 272, 248, 1152, 709, 10828, 1285, 9329, 433, 20253, 255, 772, 10091, 248, 1199, 4565, 2818, 270, 11188, 276, 248, 1152, 313, 3369, 3399, 1262, 272, 253, 4626, 448, 1559, 289, 4706, 272, 253, 1152, 270, 340, 3593, 12851, 4626, 8279, 84, 632, 253, 3792, 2035, 285, 396, 255, 13297, 253, 10828, 2072, 270, 340, 3792, 2035, 313, 844, 277, 5563, 268, 2868, 335, 277, 19624, 12295, 1557, 270, 53, 4552, 345, 248, 15490, 341, 620, 248, 10569, 7557, 313, 6918, 1262, 253, 1557, 672, 2404, 882, 253, 21365, 289, 721, 253, 2239, 2717, 270, 11188, 276, 2893, 366, 17797, 313, 6918, 255, 8911, 255, 3106, 783, 272, 253, 20253, 1557, 672, 2404, 882, 253, 21365, 270, 11188, 276, 2893, 366, 32366, 956, 344, 19695, 255, 67, 796, 22067, 255, 71, 12348, 1343, 255, 2700, 18057, 262, 6918, 1262, 783, 272, 253, 20253, 1557, 672, 2404, 882, 253, 15865, 314, 1611, 13740, 798, 255, 1129, 359, 3463, 4742, 253, 1250, 3376, 799, 396, 3218, 285, 486, 2137, 6229, 270, 1696, 363, 1114, 363, 360, 693, 248, 6731, 14, 4297, 483, 1046, 6229, 255, 1129, 939, 326, 6071, 270, 5559, 326, 2452, 285, 7166, 806, 285, 253, 2097, 272, 253, 5617, 285, 2428, 396, 255, 292, 25788, 303, 13369, 409, 3971, 6391, 7102, 341, 2434, 396, 14436, 2512, 285, 5042, 276, 1655, 4812, 285, 4482, 345, 253, 6229, 448, 253, 1112, 720, 2276, 1099, 313, 4185, 20253, 879, 30684, 20253, 313, 248, 21164, 289, 4565, 8143, 341, 620, 838, 1724, 285, 1672, 366, 2352, 25788, 303, 13369, 270, 5512, 476, 3955, 9278, 18097, 268, 14162, 272, 1590, 697, 253, 2091, 272, 7030, 1954, 14162, 15221, 882, 253, 1874, 375, 9626, 882, 253, 5095, 276, 11436, 270, 2080, 1713, 1350, 1168, 248, 4185, 272, 20253, 16252, 1392, 253, 248, 262, 286, 272, 248, 16404, 6977, 254, 270, 4514, 1713, 20223, 272, 248, 5280, 255, 10129, 289, 13438, 4185, 11079, 248, 15562, 276, 8049, 289, 275, 31263, 1591, 253, 16284, 276, 1223, 391, 272, 477, 10987, 1485, 11810, 5841, 270, 3651, 396, 313, 705, 4565, 289, 19149, 914, 871, 375, 1464, 6215, 1485, 396, 8360, 4295, 255, 6690, 20253, 313, 2205, 285, 11666, 314, 30684, 20253, 4224, 285, 1672, 366, 612, 20253, 20726, 255, 772, 917, 4224, 285, 326, 929, 8090, 2370, 4377, 272, 811, 396, 3080, 255, 332, 783, 4377, 7743, 861, 396, 1350, 6278, 448, 632, 255, 1126, 730, 363, 277, 7058, 22528, 314, 2698, 277, 26099, 448, 253, 14061, 272, 3862, 255, 30240, 270, 2631, 248, 3520, 1705, 345, 5316, 255, 66, 2816, 28671, 5208, 585, 2096, 253, 8596, 4961, 285, 2199, 3907, 1305, 248, 20893, 7606, 270, 42, 301, 7928, 341, 480, 4955, 255, 772, 1822, 427, 812, 253, 2428, 289, 29732, 285, 2415, 285, 1140, 642, 270, 3429, 360, 870, 879, 1777, 13108, 15774, 14061, 272, 3862, 255, 30240, 186, 340, 8596, 1147, 4034, 2199, 3907, 799, 3931, 25788, 303, 13369, 359, 1309, 255, 772, 917, 672, 375, 672, 461, 326, 248, 20893, 7606, 9927, 270, 340, 3907, 2743, 313, 461, 4324, 6257, 255, 772, 650, 2633, 3276, 341, 12903, 558, 2199, 248, 3907, 813, 2743, 861, 64, 18, 406, 340, 12903, 1516, 248, 1199, 991, 1844, 272, 4792, 1071, 11758, 289, 7435, 444, 307, 255, 332, 64, 19, 406, 344, 25788, 17123, 3080, 2240, 375, 4674, 276, 253, 1600, 2625, 1915, 272, 3377, 25088, 375, 596, 3867, 14339, 308, 314, 1682, 383, 811, 396, 2104, 270, 45, 15185, 1071, 356, 292, 1020, 363, 4719, 406, 262, 2876, 6304, 5280, 276, 2743, 356, 7796, 341, 396, 27769, 3117, 1590, 4607, 315, 4408, 1452, 255, 1662, 2743, 313, 705, 4607, 341, 396, 3435, 248, 8959, 272, 8703, 272, 4020, 1485, 396, 3714, 7022, 356, 12200, 3428, 730, 253, 7418, 272, 248, 5095, 272, 1071, 255, 475, 1123, 795, 1452, 255, 2051, 29559, 5550, 409, 399, 13054, 335, 480, 255, 292, 3359, 2867, 13093, 253, 2005, 272, 253, 1071, 433, 596, 730, 5170, 375, 11491, 4020, 582, 9224, 2141, 24298, 813, 314, 1130, 360, 812, 255, 344, 8596, 7443, 248, 15289, 272, 13438, 375, 3117, 448, 14339, 308, 270, 1507, 2096, 911, 6341, 1262, 253, 3264, 341, 10807, 16194, 882, 253, 5820, 313, 1331, 3056, 799, 253, 3377, 313, 1730, 276, 253, 8596, 270, 3651, 11743, 4811, 356, 26274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3013, 672, 396, 326, 20727, 285, 2781, 19548, 632, 253, 720, 879, 2522, 360, 5392, 2781, 4121, 578, 355, 3013, 1822, 480, 5245, 285, 585, 879, 355, 3013, 582, 1288, 2018, 2195, 5245, 285, 585, 879, 355, 1099, 554, 4708, 366, 585, 879, 355, 3013, 21223, 1197, 532, 476, 17798, 2018, 1811, 879, 355, 3013, 582, 532, 2195, 5472, 480, 1119, 879, 355, 1099, 1147, 480, 1676, 697, 585, 879, 18178, 255, 1458, 363, 2859, 3013, 585, 11136, 263, 797, 1099, 554, 4708, 366, 585, 11136, 332, 300, 22838, 253, 1619, 375, 248, 3844, 806, 289, 806, 276, 486, 2239, 255, 4993, 326, 248, 968, 341, 360, 476, 248, 11479, 285, 27731, 3414, 314, 1099, 313, 27731, 1405, 879, 51, 364, 1405, 313, 19096, 797, 1467, 6935, 2375, 802, 263, 284, 22137, 345, 248, 1619, 375, 345, 248, 2962, 5982, 270, 959, 672, 2430, 361, 345, 904, 1560, 476, 3318, 253, 1619, 255, 81, 19264, 345, 849, 22698, 6128, 285, 10566, 16984, 375, 1779, 379, 697, 253, 26430, 1074, 272, 253, 1280, 314, 51, 364, 1405, 313, 253, 11479, 285, 300, 1866, 2962, 4400, 806, 289, 806, 1562, 276, 849, 2605, 314, 51, 364, 1405, 2876, 5200, 717, 453, 248, 8904, 2285, 436, 29392, 1764, 9181, 85, 1317, 956, 3202, 9891, 253, 259, 425, 270, 7326, 255, 1554, 313, 904, 253, 22508, 582, 1019, 3202, 88, 289, 300, 29014, 88, 289, 300, 29014, 88, 556, 259, 425, 314, 1507, 904, 313, 253, 1619, 366, 8931, 480, 2483, 27788, 1949, 797, 3013, 11136, 1467, 289, 806, 1562, 911, 2776, 79, 1197, 396, 1415, 285, 1012, 285, 253, 4706, 272, 253, 3461, 911, 14799, 255, 2401, 12649, 255, 347, 536, 14065, 254, 345, 396, 248, 2483, 596, 255, 581, 558, 1140, 248, 2391, 270, 2986, 12649, 536, 558, 1636, 248, 6108, 5347, 341, 558, 1418, 471, 285, 718, 10167, 276, 253, 2264, 270, 2986, 536, 558, 7892, 1290, 253, 3668, 272, 849, 1619, 270, 2986, 558, 4137, 642, 2232, 1156, 341, 536, 1560, 476, 15997, 314, 8907, 255, 4810, 1405, 1412, 14133, 29975, 4067, 363, 2095, 24260, 2231, 289, 1619, 18009, 270, 1507, 929, 3029, 811, 1114, 536, 3937, 285, 27731, 3414, 255, 581, 558, 461, 1140, 253, 2391, 270, 51, 364, 1405, 1147, 461, 870, 471, 285, 1700, 345, 270, 673, 10624, 471, 13678, 270, 6164, 272, 7569, 471, 285, 476, 15130, 255, 264, 1215, 2434, 471, 1979, 8247, 314, 6378, 255, 2446, 945, 27731, 3414, 1894, 640, 359, 276, 248, 2962, 9751, 255, 1449, 4113, 1372, 5259, 289, 3269, 596, 15146, 255, 17637, 596, 2962, 2018, 341, 8315, 285, 713, 255, 332, 1979, 596, 9380, 10143, 697, 556, 2264, 289, 596, 9585, 24740, 285, 1440, 396, 270, 51, 364, 1405, 4991, 285, 1769, 1991, 255, 2460, 388, 7887, 377, 255, 332, 16253, 314, 1130, 861, 396, 554, 461, 4352, 2512, 255, 10793, 2838, 341, 9507, 27731, 1405, 672, 1357, 285, 6735, 255, 20143, 5613, 255, 48, 5364, 255, 49, 21954, 255, 19340, 5613, 255, 332, 6655, 7881, 314, 1099, 313, 253, 2732, 877, 27731, 1405, 289, 1619, 18009, 879, 4766, 2077, 255, 16994, 268, 345, 248, 1619, 366, 248, 3443, 272, 3353, 3546, 3253, 2562, 7045, 253, 3844, 313, 277, 1156, 1757, 276, 11213, 849, 4382, 314, 51, 364, 1405, 255, 2691, 255, 10461, 1769, 1794, 284, 22137, 345, 248, 1619, 335, 1798, 1114, 270, 673, 2340, 8197, 345, 253, 6896, 4412, 272, 253, 1619, 255, 1297, 345, 253, 7682, 3253, 2562, 248, 2391, 270, 859, 4599, 255, 1662, 19640, 284, 22137, 1412, 9799, 276, 253, 1119, 272, 5368, 248, 2391, 375, 2576, 248, 1440, 270, 3522, 255, 2003, 1619, 18009, 672, 1700, 471, 8097, 285, 849, 3940, 255, 4810, 1405, 10624, 471, 1224, 536, 359, 314, 1316, 360, 359, 19624, 253, 1619, 276, 248, 1199, 7682, 289, 1661, 1119, 289, 29994, 253, 5176, 3253, 285, 2022, 396, 375, 2023, 248, 2011, 3844, 10167, 276, 253, 2264, 255, 1129, 359, 4379, 1619, 18009, 314, 859, 360, 2128, 697, 253, 1112, 3844, 276, 277, 6896, 1119, 255, 17520, 986, 396, 255, 332, 2781, 248, 2814, 272, 19548, 911, 21978, 1019, 1129, 359, 436, 5545, 751, 314, 3013, 582, 945, 27731, 3414, 879, 51, 364, 1405, 1412, 11218, 363, 861, 536, 359, 28468, 248, 1619, 270, 673, 672, 255, 7256, 255, 6795, 471, 1979, 11873, 335, 248, 2483, 1894, 270, 673, 652, 2434, 471, 1979, 341, 861, 536, 27731, 3414, 2512, 255, 581, 558, 7892, 1290, 904, 8315, 289, 2096, 255, 1554, 536, 558, 1039, 2699, 272, 4906, 255, 332, 558, 326, 1865, 285, 2798, 755, 11676, 276, 253, 2264, 270, 2986, 396, 409, 2876, 5149, 3353, 277, 2913, 1019, 6317, 255, 24015, 248, 2136, 3378, 10389, 363, 536, 1979, 536, 409, 1833, 81, 623, 818, 2913, 375, 3767, 9184, 314, 13318, 1251, 620, 5923, 345, 10359, 2344, 27731, 1405, 363, 248, 5035, 356, 66, 7675, 637, 7771, 906, 5035, 255, 1554, 313, 795, 4181, 268, 396, 363, 248, 5035, 3036, 2863, 2096, 396, 313, 705, 2261, 285, 3214, 436, 5545, 751, 289, 652, 2421, 3671, 285, 31909, 375, 12346, 5841, 396, 314, 1316, 536, 3610, 285, 27731, 3414, 1255, 720, 536, 359, 276, 248, 4352, 9751, 255, 581, 852, 248, 4605, 877, 253, 4352, 9751, 289, 27731, 1405, 255, 332, 276, 720, 255, 581, 1215, 409, 1197, 870, 396, 1019, 2446, 849, 9751, 10470, 611, 255, 581, 1423, 436, 5545, 751, 270, 1696, 799, 582, 536, 3610, 285, 476, 248, 22461, 3595, 9751, 911, 12632, 255, 264, 313, 799, 335, 650, 2338, 375, 1750, 536, 359, 8522, 285, 1039, 3552, 2562, 849, 4382, 270, 1173, 1123, 272, 248, 3940, 672, 326, 3964, 248, 3393, 255, 22463, 248, 8097, 2246, 255, 84, 927, 3860, 268, 448, 1603, 255, 25742, 849, 4051, 3844, 255, 2700, 314, 20639, 255, 347, 973, 720, 536, 1979, 4352, 1262, 536, 1746, 1197, 3552, 2562, 849, 3940, 255, 581, 2199, 285, 27731, 1405, 255, 581, 852, 248, 12998, 436, 5545, 729, 25178, 341, 3714, 11905, 4874, 14238, 276, 849, 3728, 270, 673, 3714, 11339, 289, 313, 1199, 2261, 285, 1440, 314, 31502, 462, 606, 1241, 5787, 308, 1261, 21871, 19047, 729, 23298, 1241, 26815, 3546, 20281, 580, 51, 364, 1405, 610, 21103, 186, 919, 285, 9302, 375, 2587, 27731, 1405, 879, 3888, 272, 632, 255, 1129, 777, 285, 2595, 2572, 396, 554, 248, 27731, 1405, 255, 66, 2095, 24260, 2231, 255, 263, 277, 3636, 285, 1619, 1542, 4725, 314, 2522, 360, 1939, 345, 253, 7682, 1440, 544, 4412, 272, 253, 3844, 375, 345, 253, 6896, 2084, 879, 2522, 360, 1939, 345, 253, 1661, 582, 544, 3253, 285, 18200, 253, 1619, 375, 582, 360, 22365, 345, 811, 4352, 3376, 359, 879, 7685, 811, 536, 2322, 5220, 341, 253, 5035, 272, 27731, 1405, 11011, 799, 360, 20643, 2199, 285, 27731, 1405, 973, 720, 360, 1979, 4352, 911, 20981, 255, 347, 360, 693, 612, 3671, 356, 1458, 363, 3546, 1619, 18009, 255, 24129, 2292, 255, 263, 612, 1047, 12792, 406, 292, 248, 2669, 285, 486, 2962, 9751, 255, 355, 1129, 359, 4881, 16627, 486, 27731, 1405, 5035, 366, 612, 356, 2750, 11873, 406, 5764, 887, 314, 18224, 3253, 285, 1440, 253, 27731, 5457, 5035, 186, 18, 270, 25435, 521, 248, 3839, 389, 314, 859, 27731, 1405, 620, 1940, 248, 5035, 255, 264, 620, 652, 1940, 248, 7675, 11339, 2669, 285, 248, 4352, 9751, 270, 673, 672, 3574, 341, 396, 313, 6226, 642, 272, 28970, 270, 1507, 396, 6484, 1197, 314, 1065, 777, 285, 1423, 5367, 1199, 6804, 289, 285, 2595, 253, 5259, 289, 1936, 341, 3610, 285, 8056, 486, 27731, 1405, 578, 355, 14799, 4384, 248, 1829, 1741, 276, 486, 2137, 375, 448, 867, 255, 66, 720, 272, 253, 1600, 356, 475, 1123, 255, 5886, 3376, 276, 253, 8347, 255, 263, 1485, 5344, 1436, 355, 7107, 396, 5245, 1253, 248, 1701, 5327, 879, 355, 1099, 359, 253, 965, 2333, 4751, 272, 277, 10684, 341, 1357, 285, 27731, 1405, 356, 9743, 396, 326, 253, 5982, 272, 253, 18426, 6226, 725, 255, 263, 2650, 2376, 2087, 255, 263, 8064, 2319, 276, 486, 9366, 31680, 355, 2986, 359, 917, 1661, 6793, 341, 2340, 9861, 70, 486, 27731, 1405, 879, 3500, 720, 360, 8477, 4121, 436, 5545, 751, 255, 14527, 289, 2781, 414, 2752, 1168, 8315, 1250, 1485, 532, 4671, 436, 5545, 751, 911, 5324, 543, 532, 911, 1099, 543, 532, 3728, 911, 1099, 543, 532, 5982, 911, 1099, 724, 253, 25095, 276, 1249, 1352, 879, 19, 270, 29315, 725, 366, 4690, 3671, 341, 558, 5149, 253, 27731, 1405, 314, 7765, 3671, 476, 285, 326, 28127, 872, 366, 27731, 1405, 255, 332, 640, 652, 777, 285, 326, 25653, 314, 2124, 3401, 272, 253, 3671, 359, 578, 355, 20736, 1619, 7141, 356, 22617, 272, 7682, 3253, 285, 1409, 649, 22463, 248, 1437, 680, 355, 12429, 3649, 186, 355, 5292, 2319, 285, 725, 19609, 4381, 186, 355, 28181, 335, 248, 6599, 186, 355, 36, 11794, 248, 5818, 356, 332, 461, 7811, 697, 253, 1619, 680, 355, 1316, 360, 8477, 4121, 8931, 797, 3013, 802, 21978, 255, 7855, 285, 12156, 1288, 2084, 721, 248, 596, 5176, 797, 919, 11136, 919, 4742, 1822, 396, 5245, 911, 919, 409, 532, 1039, 396, 1811, 879, 20, 270, 7192, 2552, 345, 12115, 253, 4605, 877, 253, 29236, 5259, 375, 1936, 289, 253, 436, 5545, 729, 2669, 314, 600, 313, 2598, 433, 16627, 27731, 1405, 366, 253, 3671, 341, 360, 3919, 363, 5889, 289, 28127, 872, 366, 27731, 1405, 314, 673, 4623, 844, 480, 414, 1129, 1437, 9423, 289, 476, 248, 1567, 272, 4690, 3671, 5967, 335, 253, 5259, 1224, 360, 2340, 27731, 3414, 270, 1316, 360, 1140, 4121, 276, 650, 272, 1288, 5259, 356, 263, 1979, 248, 2962, 10684, 823, 1129, 5346, 2584, 448, 2082, 650, 4690, 4199, 314, 7685, 414, 1129, 359, 2552, 345, 12115, 248, 4352, 5035, 270, 673, 313, 1199, 1156, 341, 360, 11675, 2439, 253, 3671, 341, 360, 476, 6835, 363, 248, 2669, 285, 486, 2962, 9751, 375, 285, 253, 5259, 341, 360, 7508, 363, 5045, 285, 27731, 1405, 314, 21, 270, 340, 3940, 313, 285, 831, 248, 892, 5035, 314, 1130, 360, 11675, 4054, 285, 253, 3919, 14392, 366, 253, 892, 6835, 2057, 255, 355, 1129, 6619, 1423, 3463, 396, 6488, 314, 22, 270, 14163, 255, 18482, 255, 18482, 314, 3197, 345, 248, 3259, 1900, 534, 335, 486, 18151, 16092, 4060, 9210, 270, 3193, 1255, 4830, 289, 1255, 30071, 285, 2439, 253, 892, 6835, 2292, 363, 248, 892, 2669, 270, 3403, 3940, 313, 285, 582, 396, 363, 1021, 1915, 248, 1600, 363, 1575, 270, 7685, 956, 4810, 1405, 313, 248, 5035, 289, 8544, 359, 2261, 285, 3084, 649, 7256, 255, 1129, 777, 285, 2439, 248, 2814, 2276, 23, 270, 1130, 277, 4919, 21569, 4199, 255, 2446, 360, 3552, 255, 7855, 300, 1934, 6160, 253, 18151, 335, 27731, 1405, 345, 3443, 705, 341, 360, 409, 2439, 5346, 12228, 713, 285, 253, 892, 2057, 314, 1065, 409, 300, 14, 9960, 248, 15392, 375, 20514, 9751, 433, 860, 11794, 248, 15392, 375, 26972, 751, 2818, 255, 263, 433, 7381, 15392, 4381, 255, 263, 433, 3443, 3254, 10640, 4121, 276, 248, 3844, 16, 2529, 341, 360, 812, 558, 1357, 285, 248, 2962, 5903, 1402, 270, 42, 812, 396, 6287, 5116, 570, 25904, 255, 772, 2128, 272, 396, 363, 248, 14883, 4830, 285, 31292, 1447, 272, 486, 4186, 285, 1288, 5259, 356, 1554, 313, 255, 1297, 27731, 3414, 1436, 24, 270, 5469, 1197, 2286, 725, 2276, 1065, 812, 396, 3337, 720, 285, 1440, 248, 5035, 270, 1507, 396, 313, 1020, 5451, 253, 5119, 285, 7892, 1423, 11008, 11265, 253, 1800, 4010, 272, 1769, 1794, 284, 22137, 345, 713, 314, 25, 270, 4181, 76, 3918, 870, 314, 9772, 14, 4437, 8544, 359, 1199, 2205, 285, 3084, 270, 859, 360, 1979, 341, 27731, 1405, 313, 11299, 1644, 366, 486, 1372, 375, 861, 360, 359, 5982, 21622, 289, 3824, 23513, 255, 264, 672, 326, 720, 285, 6464, 3441, 8415, 314, 1132, 359, 1967, 3671, 341, 486, 16891, 672, 326, 1018, 285, 870, 360, 9302, 27731, 1405, 270, 34, 16891, 2384, 2344, 276, 27971, 16286, 265, 3699, 356, 36, 10154, 406, 4691, 2708, 248, 5313, 1780, 272, 436, 5545, 729, 9842, 255, 27081, 1782, 446, 271, 548, 255, 18981, 255, 332, 6049, 341, 359, 3437, 276, 7565, 253, 5035, 2779, 270, 4007, 558, 1232, 870, 360, 1140, 5789, 341, 359, 28127, 872, 366, 27731, 1405, 289, 11141, 713, 721, 486, 3821, 1372, 314, 10861 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10820, 1614, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 14394, 1851, 786, 911, 9164, 16444, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 421, 4820, 466, 11085, 429, 2311, 13356, 255, 15002, 1151, 421, 1037, 429, 2311, 6839, 15605, 546, 21132, 4791, 429, 684, 8033, 8263, 11614, 429, 439, 3681, 4014, 466, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 496, 4527, 786, 439, 10708, 15605, 421, 6869, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 520, 11489, 6096, 3222, 439, 4403, 362, 419, 270, 10541, 23502, 255, 1443, 5199, 411, 255, 365, 2763, 2805, 742, 31986, 684, 11579, 19146, 493, 576, 5345, 15833, 593, 3439, 786, 961, 7790, 539, 28425, 16931, 3987, 295, 10472, 10855, 9910, 4863, 14968, 576, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 439, 20061, 6042, 546, 25251, 1493, 404, 13350, 32749, 16842, 64, 2941, 2922, 2153, 5962, 5270, 1612, 3279, 27202, 1307, 3287, 429, 255, 4317, 7413, 546, 5194, 24318, 24185, 429, 439, 283, 7897, 421, 64, 2941, 17570, 3279, 8263, 546, 684, 31606, 1445, 429, 439, 8251, 32157, 25136, 10782, 520, 64, 1058, 2941, 17570, 429, 439, 32248, 669, 1051, 64, 2922, 2583, 14698, 12660, 429, 255, 4317, 869, 1108, 20333, 421, 7413, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 16444, 9984, 429, 4244, 8033, 429, 439, 4136, 255, 7790, 539, 28425, 16931, 3987, 295, 10472, 10855, 9910, 4863, 421, 5809, 1051, 64, 2952, 14698, 12660, 940, 429, 2311, 28581, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 669, 9711, 2734, 3175, 7068, 10534, 856, 19866, 3807, 429, 961, 7790, 539, 28425, 11547, 64, 6486, 10855, 4244, 8033, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 684, 1695, 940, 4083, 30223, 1786, 2187, 429, 439, 1163, 7413, 421, 7512, 466, 25251, 1493, 404, 13350, 32749, 16842, 64, 2941, 2922, 2153, 429, 255, 4317, 64, 8644, 17570, 421, 1550, 22961, 1300, 1490, 3917, 10604, 1210, 6723, 20840, 13603, 14771, 4791, 429, 439, 7790, 539, 28425, 11547, 64, 6486, 10855, 466, 1051, 64, 6486, 26, 14698, 17987, 2131, 12660, 14782, 5974, 684, 1051, 64, 2952, 14698, 21758, 12660, 429, 439, 2670, 5301, 27087, 19992, 12863, 1371, 6888, 493, 786, 439, 8644, 25, 17570, 692, 27161, 28367, 24244, 1004, 11363, 3462, 8733, 1433, 5216, 421, 1037, 19656, 8106, 4184, 439, 7790, 539, 28425, 11547, 64, 6486, 10855, 1051, 31036, 4950, 337, 17737, 429, 255, 15699, 4017, 429, 869, 1695, 22654, 2910, 576, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 2004, 3287, 429, 961, 7790, 539, 28425, 11547, 10311, 64, 6486, 10855, 4244, 8033, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 684, 1695, 940, 4083, 30223, 1786, 2187, 429, 439, 1163, 7413, 421, 7512, 466, 25251, 1493, 404, 13350, 32749, 16842, 64, 2941, 2922, 2153, 429, 255, 4317, 64, 8644, 17570, 421, 1550, 22961, 1300, 1490, 3917, 10604, 1210, 6723, 20840, 13603, 14771, 4791, 429, 439, 7790, 539, 28425, 11547, 10311, 64, 6486, 10855, 466, 1051, 64, 6486, 26, 14698, 17987, 2131, 12660, 14782, 5974, 684, 1051, 64, 2952, 14698, 21758, 12660, 429, 439, 2670, 5301, 27087, 19992, 12863, 1371, 6888, 493, 786, 439, 12854, 2922, 17570, 692, 27161, 28367, 24244, 1004, 11363, 3462, 8733, 1433, 5216, 421, 1037, 19656, 8106, 4184, 439, 7790, 539, 28425, 11547, 10311, 64, 6486, 10855, 1051, 31036, 4950, 337, 17737, 429, 255, 15699, 4017, 429, 869, 1695, 22654, 2910, 576, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 2004, 3287, 429, 961, 7790, 539, 28425, 11547, 64, 6486, 5688, 574, 64, 2153, 442, 447, 829, 1742, 1407, 10221, 25778, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 439, 283, 7897, 421, 64, 2922, 17570, 421, 1550, 1051, 24318, 25251, 1493, 404, 13350, 32749, 16842, 64, 24, 2922, 2153, 442, 1108, 7413, 421, 7512, 466, 5305, 836, 429, 439, 9603, 4528, 280, 669, 255, 10541, 466, 64, 2922, 15, 2153, 24, 17412, 266, 64, 6486, 25, 17, 295, 1742, 64, 19286, 2583, 1151, 372, 11472, 1970, 1742, 24838, 429, 255, 4317, 13527, 28537, 684, 1965, 463, 1486, 2735, 27844, 9230, 421, 1037, 8033, 429, 439, 10541, 466, 10050, 520, 5130, 64, 31739, 14698, 12660, 429, 255, 4136, 21758, 669, 64, 12830, 14698, 429, 439, 13514, 2059, 421, 11863, 64, 5609, 2922, 17, 8981, 1051, 1287, 19752, 669, 8726, 2660, 421, 1037, 19351, 2314, 24338, 742, 429, 439, 22188, 297, 25703, 493, 546, 9230, 421, 1793, 1695, 7612, 14854, 429, 869, 9910, 539, 28425, 11547, 64, 6486, 5688, 574, 64, 2153, 442, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 961, 7790, 539, 28425, 8542, 9324, 739, 415, 1493, 64, 2345, 10855, 447, 829, 1742, 1407, 10221, 25778, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 439, 283, 7897, 421, 64, 8644, 17570, 421, 1550, 1051, 24318, 25251, 1493, 404, 13350, 32749, 16842, 64, 2941, 2922, 2153, 1108, 7413, 421, 7512, 466, 5305, 836, 429, 439, 9603, 4528, 280, 669, 255, 10541, 466, 64, 3177, 15, 1218, 17412, 266, 64, 1218, 4293, 17, 295, 1742, 64, 2345, 8644, 17, 372, 11472, 1970, 1742, 24838, 429, 255, 4317, 13527, 28537, 684, 1965, 463, 1486, 2735, 27844, 9230, 421, 1037, 8033, 429, 439, 10541, 466, 10050, 520, 5130, 64, 2922, 2583, 14698, 12660, 429, 255, 4136, 21758, 669, 64, 2952, 14698, 429, 439, 13514, 2059, 421, 11863, 64, 21431, 1151, 8981, 1051, 1287, 19752, 669, 8726, 2660, 421, 1037, 19351, 2314, 24338, 742, 429, 439, 22188, 297, 25703, 493, 546, 9230, 421, 1793, 1695, 7612, 14854, 429, 869, 9910, 539, 28425, 8542, 9324, 739, 415, 1493, 64, 2345, 10855, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 961, 7790, 539, 28425, 16931, 3987, 295, 10472, 10855, 447, 829, 1742, 1407, 10221, 25778, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 439, 283, 7897, 421, 64, 2922, 17570, 421, 1550, 1051, 24318, 25251, 1493, 404, 13350, 32749, 16842, 64, 25, 2922, 22, 1108, 7413, 421, 7512, 466, 5305, 836, 429, 439, 9603, 4528, 280, 669, 255, 10541, 466, 64, 2922, 15, 2922, 24, 17412, 266, 64, 6486, 2941, 1151, 295, 1742, 64, 14847, 1151, 1151, 372, 11472, 1970, 1742, 24838, 429, 255, 4317, 13527, 28537, 684, 1965, 463, 1486, 2735, 27844, 9230, 421, 1037, 8033, 429, 439, 10541, 466, 10050, 520, 5130, 64, 2922, 21, 14698, 12660, 429, 255, 4136, 21758, 669, 64, 2952, 14698, 429, 439, 13514, 2059, 421, 11863, 64, 2583, 21650, 1151, 8981, 1051, 1287, 19752, 669, 8726, 2660, 421, 1037, 19351, 2314, 24338, 742, 429, 439, 22188, 297, 25703, 493, 546, 9230, 421, 1793, 1695, 7612, 14854, 429, 869, 9910, 539, 28425, 16931, 3987, 295, 10472, 10855, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 961, 7790, 539, 28425, 11547, 64, 6486, 28581, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 421, 1037, 9766, 10296, 429, 439, 8251, 25251, 1493, 404, 13350, 32749, 16842, 64, 2941, 2922, 2153, 684, 64, 8644, 17570, 21807, 429, 439, 4347, 1550, 15261, 255, 4403, 9910, 539, 28425, 11547, 64, 6486, 576, 1051, 24318, 8263, 14147, 429, 439, 11715, 3168, 28534, 5216, 684, 14587, 7927, 26027, 17158, 421, 1037, 64, 8644, 25, 17570, 940, 17393, 429, 439, 337, 7897, 1674, 421, 1037, 4817, 10050, 520, 5130, 64, 6486, 26, 14698, 12660, 14782, 5974, 684, 21758, 669, 1051, 64, 2952, 14698, 14147, 429, 439, 1367, 7866, 520, 23859, 14944, 466, 429, 684, 9910, 539, 28425, 11547, 64, 6486, 546, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 6487, 466, 12043, 25637, 3842, 2004, 5975, 429, 961, 7790, 539, 28425, 11547, 64, 6486, 6841, 1878, 12418, 16465, 14968, 576, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 439, 20061, 6042, 546, 25251, 1493, 404, 13350, 32749, 16842, 64, 3177, 2922, 2153, 442, 5962, 5270, 1612, 3279, 27202, 1307, 3287, 429, 255, 4317, 7413, 546, 5194, 24318, 24185, 429, 439, 283, 7897, 421, 64, 2922, 17570, 3279, 8263, 546, 684, 31606, 1445, 429, 439, 8251, 32157, 25136, 10782, 520, 64, 8644, 2941, 17570, 429, 439, 32248, 669, 1051, 64, 31739, 14698, 12660, 429, 255, 4317, 869, 1108, 20333, 421, 7413, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 16444, 9984, 429, 4244, 8033, 429, 439, 4136, 255, 7790, 539, 28425, 11547, 64, 6486, 6841, 1878, 12418, 16465, 421, 5809, 1051, 64, 12830, 14698, 12660, 940, 429, 2311, 28581, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 669, 9711, 2734, 3175, 7068, 10534, 856, 19866, 3807, 429, 961, 7790, 539, 28425, 11547, 64, 6486, 5688, 574, 9910, 4863, 12418, 16465, 31490, 7699, 684, 8263, 736, 9851, 421, 1550, 1051, 7413, 429, 439, 4136, 12556, 255, 2678, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 421, 2910, 466, 1051, 14854, 32139, 2004, 3287, 429, 439, 7790, 539, 28425, 11547, 64, 6486, 5688, 574, 9910, 4863, 12418, 16465, 1051, 25251, 1493, 404, 13350, 32749, 16842, 64, 3177, 2922, 2153, 442, 3279, 21754, 429, 2311, 14771, 4791, 429, 869, 1695, 14968, 576, 31021, 28325, 12308, 429, 439, 3389, 6046, 255, 7790, 539, 28425, 11547, 64, 6486, 5688, 574, 9910, 4863, 12418, 16465, 669, 23859, 6613, 14968, 576, 13479, 18514, 639, 6723, 669, 1051, 2660, 1931, 3297, 856, 4184, 439, 13514, 2059, 669, 64, 31739, 14698, 10050, 692, 12660, 5194, 8033, 429, 255, 21808, 2910, 576, 2209, 11446, 12869, 669, 9711, 3564, 2311, 11300, 21132, 5305, 836, 429, 439, 3755, 1695, 64, 12830, 14698, 12570, 27448, 739, 508, 4540, 421, 1550, 16189, 28093, 429, 255, 4638, 9910, 539, 28425, 11547, 64, 6486, 5688, 574, 9910, 4863, 12418, 16465, 546, 28581, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 24185, 429, 961, 7790, 539, 28425, 11547, 10311, 64, 6486, 5688, 574, 14968, 576, 13359, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 576, 1051, 429, 439, 20061, 6042, 546, 25251, 1493, 404, 13350, 32749, 16842, 64, 3177, 10472, 442, 5962, 5270, 1612, 3279, 27202, 1307, 3287, 429, 255, 4317, 7413, 546, 5194, 24318, 24185, 429, 439, 283, 7897, 421, 64, 8644, 17570, 3279, 8263, 546, 684, 31606, 1445, 429, 439, 8251, 32157, 25136, 10782, 520, 64, 8644, 25, 17570, 429, 439, 32248, 669, 1051, 64, 2922, 2583, 14698, 12660, 429, 255, 4317, 869, 1108, 20333, 421, 7413, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 466, 16444, 9984, 429, 4244, 8033, 429, 439, 4136, 255, 7790, 539, 28425, 11547, 10311, 64, 6486, 5688, 574, 421, 5809, 1051, 64, 24249, 14698, 12660, 940, 429, 2311, 28581, 8733, 2256, 283, 2480, 22711, 11908, 421, 1550, 9910, 539, 28425, 3280, 3075, 266, 17416, 17287, 11446, 11489, 669, 9711, 2734, 3175, 7068, 10534, 856, 19866, 3807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1787, 1179, 7878, 31344, 255, 7976, 255, 2668, 1656, 339, 6609, 580, 17, 186, 339, 32622, 580, 17, 186, 339, 15284, 66, 580, 18, 186, 339, 2003, 4152, 4613, 3819, 31344, 406, 332, 356, 1441, 27622, 8537, 262, 28722, 6471, 263, 1515, 27622, 62, 9952, 32251, 1656, 491, 347, 1515, 27622, 62, 9952, 15, 11305, 1379, 32622, 580, 18, 186, 491, 4312, 578, 1379, 6609, 580, 6609, 3773, 728, 1241, 570, 31344, 27622, 7500, 1379, 347, 11784, 3046, 18, 578, 1722, 15284, 66, 5797, 509, 17, 15, 18, 186, 491, 7976, 6515, 18, 186, 339, 864, 5000, 9719, 8, 8172, 26746, 47, 9139, 24793, 5531, 6609, 11301, 6609, 3773, 15284, 66, 9008, 19952, 390, 11301, 17, 9008, 3542, 1167, 308, 11301, 2668, 7454, 339, 2194, 18297, 255, 7976, 6106, 1787, 1179, 19930, 31344, 255, 7976, 255, 2668, 1656, 339, 864, 5000, 9719, 8, 8172, 26746, 7730, 3475, 5531, 19952, 390, 11301, 17, 9008, 3542, 1167, 308, 11301, 2668, 9008, 6609, 26746, 32107, 8, 7454, 339, 2194, 18297, 255, 7976, 1241, 18, 6106, 1787, 1179, 7844, 398, 31344, 255, 7976, 255, 2668, 1656, 339, 864, 5000, 9719, 8, 8172, 26746, 46, 2492, 3475, 5531, 19952, 390, 11301, 17, 9008, 3542, 1167, 308, 11301, 2668, 9008, 6609, 26746, 32107, 8, 7454, 339, 2194, 18297, 255, 7976, 1241, 18, 474, 1787, 1179, 53, 1180, 31344, 255, 7976, 255, 2668, 1656, 339, 864, 5000, 9719, 8, 8172, 26746, 53, 6611, 2350, 5531, 19952, 390, 11301, 17, 9008, 3542, 1167, 308, 11301, 2668, 9008, 6609, 26746, 32107, 8, 7454, 339, 2194, 18297, 255, 7976, 1241, 18, 474, 1787, 1179, 37, 1121, 271, 31344, 255, 7976, 255, 2668, 1656, 339, 864, 5000, 9719, 8, 8172, 26746, 37, 3698, 2695, 3248, 5531, 19952, 390, 11301, 17, 9008, 3542, 1167, 308, 11301, 2668, 9008, 6609, 26746, 32107, 8, 7454, 339, 2194, 18297, 255, 7976, 1241, 18, 6106, 1787, 18297, 986, 31344, 1656, 339, 14552, 611, 11548, 339, 7976, 580, 17, 186, 339, 5869, 580, 17, 186, 10790, 22278, 161, 125, 214, 30468, 9898, 105, 5785, 9898, 221, 9898, 105, 9898, 213, 9898, 220, 321, 121, 29269, 220, 27, 9, 18, 12, 20, 680, 339, 347, 31344, 60, 17, 62, 9952, 9, 1634, 332, 1515, 60, 3819, 31344, 8148, 18, 62, 9952, 10, 8, 1656, 491, 2668, 10108, 18, 186, 339, 4312, 578, 491, 2668, 580, 17, 186, 339, 2003, 4152, 4613, 3819, 31344, 1656, 491, 347, 1515, 27622, 8537, 262, 28722, 8748, 1379, 9, 864, 5000, 255, 7976, 2991, 1269, 7878, 31344, 255, 7976, 255, 2668, 680, 491, 6265, 1515, 27622, 62, 9952, 12, 11305, 1379, 9, 864, 5000, 255, 7976, 2991, 1269, 19930, 31344, 255, 7976, 255, 2668, 680, 491, 6265, 1515, 27622, 62, 9952, 14, 11305, 1379, 9, 864, 5000, 255, 7976, 2991, 1269, 7844, 398, 31344, 255, 7976, 255, 2668, 680, 491, 6265, 1515, 27622, 62, 9952, 11, 11305, 1379, 9, 864, 5000, 255, 7976, 2991, 1269, 53, 1180, 31344, 255, 7976, 255, 2668, 680, 491, 6265, 1515, 27622, 62, 9952, 16, 11305, 1379, 9, 864, 5000, 255, 7976, 2991, 1269, 37, 1121, 271, 31344, 255, 7976, 255, 2668, 680, 491, 6265, 1515, 27622, 62, 9952, 3242, 578, 1379, 2668, 6515, 18, 186, 1379, 7976, 6515, 18, 186, 1379, 5869, 6515, 18, 186, 1379, 16498, 186, 491, 6265, 1515, 27622, 62, 9952, 10, 11305, 1379, 2668, 20645, 18, 186, 1379, 7976, 6515, 18, 186, 1379, 16498, 186, 491, 4312, 578, 1379, 1380, 3242, 465, 14382, 1841, 1246, 15204, 1241, 1441, 27622, 7500, 1379, 31794, 9, 18, 680, 491, 14552, 611, 6009, 9, 864, 5000, 680, 339, 2194, 25753, 474, 4, 161, 213, 105, 10037, 217, 16963, 101, 14628, 227, 9898, 99, 9898, 226, 9898, 240, 14628, 211, 9898, 108, 14628, 227, 16674, 105, 14628, 119, 16674, 217, 9898, 102, 162, 220, 107, 14628, 220, 8811, 221, 9, 8811, 222, 8811, 221, 10, 8811, 222, 19704, 8, 3542, 1167, 308, 8, 9898, 108, 165, 241, 215, 13220, 222, 186, 1787, 1039, 1567, 538, 6190, 308, 9, 14552, 611, 255, 5869, 6382, 4, 9667, 238, 11059, 240, 21380, 99, 5869, 30, 17, 13, 5869, 30, 17, 13, 18, 13, 19, 13, 2729, 79, 9, 8811, 221, 5785, 8811, 222, 9898, 108, 19469, 239, 10835, 29217, 680, 339, 864, 5000, 11548, 339, 2723, 25753, 11548, 339, 2668, 580, 5869, 186, 339, 475, 4152, 276, 1684, 12271, 9, 14552, 611, 14104, 491, 347, 9, 14552, 611, 27622, 5031, 8, 3542, 1167, 308, 8, 2053, 31, 509, 2668, 12, 18, 1656, 1379, 864, 5000, 6009, 9, 14552, 611, 27622, 7500, 491, 347, 9, 14552, 611, 27622, 5031, 8, 3542, 1167, 308, 8, 13873, 2668, 1656, 1379, 347, 12271, 9, 864, 5000, 13165, 17, 1656, 1722, 2723, 25753, 6009, 9, 14552, 611, 27622, 7500, 1379, 4312, 578, 1722, 2723, 25753, 6009, 9, 864, 5000, 680, 1722, 2723, 25753, 6009, 9, 14552, 611, 27622, 7500, 1722, 864, 5000, 11548, 339, 347, 12271, 9, 864, 5000, 406, 10015, 17, 1656, 491, 2723, 25753, 6009, 9, 864, 5000, 1613, 339, 5869, 6515, 18, 186, 10790, 5785, 9898, 108, 20367, 9898, 106, 5785, 9898, 221, 9898, 105, 9898, 213, 9898, 220, 7980, 186, 339, 475, 4152, 276, 1684, 12271, 28220, 25753, 14104, 491, 347, 313, 25204, 28220, 25753, 27622, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 16674, 105, 14628, 119, 16674, 217, 9898, 221, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 186, 1379, 2723, 25753, 27622, 5452, 6795, 1567, 538, 6190, 308, 28220, 25753, 27622, 4048, 5869, 10, 4, 19933, 222, 161, 118, 110, 186, 339, 2194, 892, 25753, 6106, 4, 20754, 9133, 100, 9898, 106, 161, 213, 105, 10037, 217, 16963, 101, 14628, 227, 9898, 99, 9898, 226, 14628, 220, 186, 1787, 2806, 10112, 9, 14552, 611, 1656, 339, 475, 4152, 276, 1684, 12271, 9, 14552, 611, 7635, 18, 1656, 491, 347, 313, 25204, 9, 14552, 611, 27622, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 16674, 105, 14628, 119, 16674, 217, 9898, 221, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 9, 7976, 163, 230, 105, 24772, 108, 680, 1379, 14552, 611, 27622, 5452, 92, 8, 6609, 11301, 7980, 10112, 9, 14552, 611, 27622, 62, 8050, 8, 19952, 390, 11301, 17, 23274, 8172, 26746, 47, 9139, 24793, 8, 94, 4, 19933, 222, 161, 118, 110, 186, 491, 347, 313, 25204, 9, 14552, 611, 27622, 1241, 18, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 16674, 105, 14628, 119, 16674, 217, 9898, 221, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 9, 7976, 12, 18, 163, 230, 105, 24772, 108, 10, 3936, 158, 233, 214, 13220, 230, 9430, 214, 9898, 220, 4891, 240, 186, 1379, 14552, 611, 27622, 1241, 18, 5452, 92, 8, 6609, 11301, 7980, 10112, 9, 14552, 611, 27622, 1241, 18, 62, 8050, 8, 19952, 390, 11301, 17, 23274, 8172, 26746, 47, 9139, 24793, 8, 94, 4, 19933, 222, 161, 118, 110, 186, 12908, 491, 347, 9, 14552, 611, 27622, 5031, 8, 8172, 18046, 9952, 53, 6611, 2350, 1634, 263, 25753, 27622, 5031, 8, 8172, 18046, 9952, 37, 3698, 2695, 3248, 8, 1656, 1379, 14552, 611, 27622, 956, 18, 5031, 8, 19952, 390, 29523, 18, 186, 1379, 14552, 611, 27622, 5031, 8, 19952, 390, 29523, 18, 186, 1379, 14552, 611, 27622, 1241, 18, 5031, 8, 19952, 390, 29523, 18, 4, 158, 233, 214, 9898, 228, 9898, 228, 9898, 102, 162, 107, 96, 9898, 108, 16674, 217, 16674, 122, 14628, 109, 16674, 113, 14628, 227, 164, 105, 125, 9898, 119, 9898, 240, 9898, 213, 9898, 220, 14628, 218, 186, 25921, 339, 2194, 25753, 18310, 4, 161, 213, 105, 10037, 217, 16963, 101, 14628, 227, 9898, 99, 9898, 226, 9898, 240, 14628, 211, 9898, 108, 14628, 227, 16674, 105, 14628, 119, 16674, 217, 9898, 102, 162, 220, 107, 14628, 220, 8811, 221, 11, 8811, 222, 8811, 221, 16, 8811, 222, 19704, 8, 19952, 390, 8, 9898, 108, 165, 241, 215, 13220, 222, 186, 1787, 1039, 1567, 14980, 37, 1121, 271, 9, 14552, 611, 1656, 339, 864, 5000, 11548, 339, 2723, 25753, 11548, 339, 475, 4152, 276, 1684, 12271, 9, 14552, 611, 14104, 491, 347, 313, 25204, 9, 14552, 611, 27622, 5031, 8, 6609, 8, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 16674, 105, 14628, 119, 16674, 217, 9898, 221, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 186, 1379, 14552, 611, 27622, 5031, 8, 6609, 29523, 6795, 1567, 14980, 37, 1121, 271, 9, 14552, 611, 27622, 5031, 8, 6609, 18046, 10, 4, 19933, 222, 161, 118, 110, 186, 491, 347, 9, 14552, 611, 27622, 5031, 8, 19952, 390, 8, 13873, 18, 1656, 1379, 864, 5000, 6009, 9, 14552, 611, 27622, 7500, 491, 347, 9, 14552, 611, 27622, 5031, 8, 19952, 390, 8, 13873, 17, 1656, 1379, 347, 12271, 9, 864, 5000, 13165, 17, 1656, 1722, 2723, 25753, 6009, 9, 14552, 611, 27622, 7500, 1379, 4312, 578, 1722, 2723, 25753, 6009, 9, 864, 5000, 680, 1722, 2723, 25753, 6009, 9, 14552, 611, 27622, 7500, 1722, 864, 5000, 11548, 339, 347, 12271, 9, 864, 5000, 406, 10015, 17, 1656, 491, 2723, 25753, 6009, 9, 864, 5000, 680, 12908, 339, 2194, 892, 25753, 18310, 4, 8, 6609, 21169, 16674, 105, 14628, 119, 16674, 217, 19704, 16674, 105, 14628, 119, 16674, 217, 9898, 106, 14304, 218, 162, 224, 236, 186, 1787, 966, 3928, 285, 1567, 9, 14552, 611, 17035, 339, 475, 4152, 276, 1684, 12271, 9, 14552, 611, 14104, 491, 347, 313, 25204, 9, 14552, 611, 27622, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 16674, 105, 14628, 119, 16674, 217, 9898, 221, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 186, 1379, 14552, 611, 27622, 5452, 6609, 3928, 285, 1567, 9, 14552, 611, 27622, 20970, 4, 19933, 222, 161, 118, 110, 186, 491, 6265, 313, 25204, 9, 14552, 611, 27622, 5031, 8, 6609, 8, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 8, 6609, 21169, 16674, 105, 14628, 119, 16674, 217, 9898, 102, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 186, 1379, 14552, 611, 27622, 5452, 14552, 611, 27622, 5031, 8, 6609, 24027, 1379, 14552, 611, 27622, 5452, 6609, 3928, 285, 1567, 9, 14552, 611, 27622, 20970, 4, 19933, 222, 161, 118, 110, 186, 12908, 339, 2194, 25753, 474, 339, 18310, 1787, 5904, 9, 14552, 611, 1656, 339, 17428, 580, 17, 186, 339, 14552, 611, 25759, 9, 17, 255, 92, 8, 8172, 26746, 7730, 3475, 8, 94, 24475, 25603, 248, 284, 21093, 1998, 12, 1634, 864, 5000, 186, 339, 7976, 580, 18, 186, 339, 2003, 4152, 4613, 3819, 9, 14552, 611, 1656, 491, 347, 313, 25204, 9, 14552, 611, 27622, 4048, 3928, 6382, 4, 14628, 211, 9898, 232, 16674, 105, 14628, 119, 16674, 217, 9898, 221, 9898, 211, 9898, 98, 9898, 240, 161, 241, 114, 12338, 217, 186, 1379, 14552, 611, 27622, 5452, 92, 8, 8172, 1634, 15204, 47, 9139, 24793, 11483, 6609, 1634, 414, 26595, 9, 14552, 611, 27622, 20970, 94, 4, 19933, 222, 161, 118, 110, 186, 491, 347, 25753, 27622, 5031, 8, 8172, 18046, 9952, 47, 9139, 24793, 11305, 1379, 347, 25753, 27622, 956, 18, 5031, 8, 8172, 18046, 9952, 7730, 3475, 11305, 1722, 17428, 6515, 14552, 611, 27622, 5031, 8, 6609, 24027, 1379, 6265, 25753, 27622, 956, 18, 5031, 8, 8172, 18046, 9952, 46, 2492, 3475, 11305, 1722, 17428, 20645, 14552, 611, 27622, 5031, 8, 6609, 24027, 1379, 6265, 25753, 27622, 956, 18, 5031, 8, 8172, 18046, 9952, 53, 6611, 2350, 11305, 1722, 17428, 5797, 509, 14552, 611, 27622, 5031, 8, 6609, 24027, 1379, 6265, 25753, 27622, 956, 18, 5031, 8, 8172, 18046, 9952, 37, 3698, 2695, 3248, 11305, 1722, 17428, 5646, 509, 14552, 611, 27622, 5031, 8, 6609, 24027, 1379, 4312, 578, 1722, 1380, 3242, 465, 14382, 16295, 5753, 491, 7976, 6515, 18, 186, 339, 2194, 2428, 6106, 1787, 1136, 31344, 255, 10656, 9939, 1656, 339, 14552, 611, 580, 864, 5000, 986, 31344, 680, 339, 258, 13458, 25753, 18, 580, 6795, 1567, 538, 6190, 308, 9, 14552, 611, 13, 17, 680, 339, 7980, 271, 25753, 580, 7980, 10112, 9, 258, 13458, 25753, 18, 680, 339, 258, 13458, 25753, 19, 580, 6795, 1567, 14980, 37, 1121, 271, 9, 7980, 271, 25753, 680, 339, 258, 13458, 25753, 20, 580, 6609, 3928, 285, 1567, 9, 258, 13458, 25753, 19, 680, 339, 26880, 9939, 580, 26595, 9, 258, 13458, 25753, 20, 680, 339, 347, 2290, 9, 26880, 9939, 956, 10656, 9939, 28686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28192, 474, 960, 70, 356, 3367, 14198, 3259, 1613, 13119, 272, 253, 3102, 342, 580, 18, 21946, 270, 2467, 255, 70, 313, 253, 3145, 966, 3428, 730, 64, 18, 341, 2434, 253, 28755, 1666, 2931, 285, 64, 18, 909, 340, 966, 299, 313, 248, 6208, 3259, 341, 313, 253, 3226, 272, 253, 2191, 30627, 414, 344, 3145, 966, 5174, 2191, 30627, 313, 2931, 285, 650, 270, 673, 313, 5394, 2931, 285, 64, 19, 15, 24, 1212, 2644, 13, 60, 18, 2053, 332, 313, 253, 3560, 272, 356, 18, 1241, 18, 15599, 10, 79, 363, 309, 4668, 19995, 255, 260, 3421, 341, 15767, 276, 253, 1190, 272, 7270, 1679, 270, 673, 409, 652, 326, 5966, 363, 253, 2026, 272, 253, 9379, 3057, 60, 19, 5504, 18230, 4984, 299, 5377, 5299, 1164, 28427, 18839, 79, 30, 17, 20254, 11742, 64, 5839, 2044, 1753, 18, 1736, 79, 2, 2713, 30, 2431, 2044, 1753, 18, 1736, 18, 2713, 12, 2431, 2044, 1753, 18, 1736, 18, 2713, 12, 2431, 2044, 1753, 18, 1736, 18, 23006, 64, 19, 2713, 12, 2431, 2044, 1753, 18, 1736, 18, 23006, 64, 19, 23006, 64, 20, 2713, 8922, 26514, 64, 9146, 340, 3259, 409, 326, 8046, 276, 1021, 902, 2192, 270, 974, 1123, 255, 264, 409, 326, 3388, 363, 253, 3145, 2451, 966, 248, 942, 341, 253, 2854, 272, 253, 1295, 342, 580, 1064, 620, 3154, 9069, 448, 1422, 580, 17, 17036, 20, 2053, 340, 1295, 273, 2615, 2991, 979, 313, 1747, 253, 356, 9846, 406, 4456, 28097, 1295, 255, 332, 313, 253, 3145, 14654, 1295, 2931, 285, 800, 1395, 10821, 270, 340, 2191, 30627, 255, 263, 30627, 285, 3226, 299, 255, 262, 253, 10052, 1295, 285, 253, 2191, 14654, 1295, 270, 340, 2191, 30627, 272, 248, 966, 564, 4386, 18, 409, 326, 3388, 3233, 363, 253, 1666, 775, 253, 6416, 342, 580, 18, 21946, 877, 1422, 580, 18, 289, 1422, 580, 76, 255, 247, 696, 1576, 299, 313, 253, 1461, 272, 564, 335, 696, 480, 1666, 11965, 650, 356, 3032, 2570, 795, 1132, 359, 4690, 1841, 3667, 909, 70, 313, 4034, 1747, 516, 336, 14973, 966, 1253, 253, 29840, 26861, 28130, 11571, 29230, 356, 1297, 285, 326, 13145, 366, 31107, 255, 344, 29230, 1469, 46, 5741, 488, 22549, 3259, 255, 9275, 1747, 3322, 516, 336, 14973, 3259, 823, 263, 363, 613, 547, 1386, 709, 3259, 270, 1452, 255, 38, 336, 14973, 4072, 272, 253, 6142, 299, 313, 2322, 285, 476, 838, 17358, 276, 1055, 15746, 17036, 21, 2053, 340, 3259, 543, 5702, 433, 253, 29840, 26861, 28946, 20747, 278, 22472, 1894, 7755, 7270, 1679, 17036, 22, 5504, 340, 966, 299, 313, 272, 780, 14484, 3769, 276, 6817, 13, 60, 23, 2053, 7442, 2577, 64, 17, 255, 18, 255, 7389, 289, 2062, 270, 2281, 3169, 272, 755, 1982, 1585, 1156, 289, 26490, 7715, 2348, 6817, 255, 332, 359, 253, 3169, 19015, 21392, 276, 650, 15398, 272, 516, 336, 14973, 5120, 270, 5897, 253, 3259, 15967, 255, 70, 313, 20345, 414, 264, 313, 461, 248, 4082, 272, 9565, 270, 3737, 844, 15967, 255, 70, 313, 22381, 1502, 414, 264, 313, 461, 248, 3668, 272, 818, 1602, 25834, 11447, 366, 6724, 12335, 270, 340, 9814, 1461, 272, 299, 30447, 483, 285, 64, 1489, 8640, 4847, 313, 474, 19, 15, 24, 1212, 30650, 25, 2644, 2950, 26, 17, 2950, 22454, 11002, 2644, 24, 4872, 18, 2947, 19, 5585, 19, 4932, 24, 3328, 24, 30757, 7020, 20, 23, 3547, 3790, 950, 1683, 24023, 416, 8457, 15050, 276, 253, 748, 31498, 8166, 2409, 12951, 474, 340, 965, 9654, 285, 253, 3259, 724, 3729, 276, 64, 17828, 25, 276, 253, 2891, 272, 277, 31825, 272, 248, 867, 345, 17829, 677, 433, 7475, 613, 547, 1386, 17036, 22, 2053, 1452, 255, 1662, 1822, 461, 1516, 253, 3259, 2778, 255, 772, 3322, 248, 1567, 272, 17829, 677, 5966, 453, 253, 3259, 270, 673, 313, 9459, 341, 253, 2891, 543, 3241, 433, 14556, 748, 14432, 889, 270, 340, 7165, 272, 253, 3259, 2778, 313, 27423, 285, 28946, 20747, 278, 22472, 276, 64, 15063, 20, 13, 60, 24, 5031, 25, 2053, 3255, 15458, 285, 1140, 253, 1461, 272, 253, 1387, 3421, 356, 822, 313, 276, 1057, 299, 17035, 18230, 4984, 1164, 3951, 18839, 79, 29860, 1164, 11742, 64, 3069, 2709, 9, 18, 12, 2431, 2044, 1753, 18, 1736, 79, 12766, 1801, 20880, 79, 28561, 9146, 340, 965, 1724, 693, 272, 253, 3259, 255, 25704, 433, 253, 4300, 275, 255, 3028, 276, 20547, 453, 608, 2773, 71, 3273, 3291, 451, 79, 481, 285, 4510, 646, 260, 610, 10075, 72, 611, 276, 64, 18587, 17, 289, 64, 18587, 18, 270, 32393, 11571, 29230, 5572, 253, 4300, 299, 363, 253, 3226, 335, 2191, 17829, 677, 255, 9823, 276, 248, 4300, 285, 7492, 12233, 24595, 345, 64, 1623, 10740, 64, 19894, 18, 17036, 26, 5031, 728, 2053, 38, 17212, 4671, 285, 693, 253, 4300, 299, 335, 253, 3259, 276, 64, 18414, 24, 375, 64, 18414, 25, 255, 247, 277, 637, 13046, 1854, 345, 25255, 4804, 276, 14379, 722, 13, 60, 1298, 2053, 332, 253, 965, 6406, 272, 299, 276, 248, 7854, 543, 276, 516, 336, 14973, 19318, 6070, 356, 19894, 23, 4264, 60, 1058, 2053, 2447, 276, 253, 7696, 1233, 783, 3498, 785, 253, 4300, 259, 255, 344, 4300, 299, 543, 596, 1354, 289, 6619, 4183, 2496, 17036, 68, 3138, 2635, 5504, 465, 6817, 255, 344, 2496, 313, 285, 2063, 308, 253, 3259, 363, 953, 70, 2881, 247, 396, 265, 752, 649, 344, 22587, 64, 8213, 523, 14, 19, 27, 971, 26, 2496, 16556, 2063, 23442, 19015, 276, 277, 24969, 5215, 255, 772, 480, 620, 461, 838, 18996, 433, 3473, 2672, 909, 2409, 23075, 474, 1984, 5549, 695, 1679, 474, 340, 937, 272, 29689, 64, 643, 1186, 28997, 1679, 345, 277, 3634, 1069, 18, 13, 1637, 6259, 448, 1967, 7270, 268, 9804, 28946, 20747, 278, 22472, 5702, 480, 3259, 276, 64, 15063, 20, 433, 7755, 248, 1949, 697, 7270, 1679, 27, 60, 22, 2053, 1173, 2110, 6428, 366, 5, 18, 15, 523, 289, 22940, 64, 1504, 2479, 1679, 604, 935, 270, 859, 253, 1679, 313, 27423, 3135, 255, 252, 253, 1275, 272, 253, 935, 255, 344, 1461, 272, 253, 2110, 448, 935, 14860, 558, 326, 1069, 19, 15, 523, 270, 1099, 4955, 861, 253, 1679, 313, 14006, 289, 27423, 596, 5392, 1305, 253, 935, 911, 859, 253, 1679, 313, 27423, 7429, 276, 253, 935, 255, 344, 1679, 2087, 335, 973, 64, 23, 3385, 558, 326, 64, 1489, 7708, 549, 253, 3634, 5, 18, 313, 16919, 433, 64, 18, 15, 22, 7429, 255, 22308, 268, 1069, 18, 15, 523, 6284, 18, 15, 6919, 1806, 5, 19, 15, 1623, 448, 253, 1275, 272, 253, 935, 270, 5549, 16741, 12148, 315, 12106, 1069, 18, 15, 523, 6284, 18, 15, 26875, 1806, 5, 19, 15, 4293, 18, 21, 2793, 255, 332, 7270, 268, 12669, 12106, 1069, 18, 15, 523, 30318, 356, 18, 1241, 18, 16, 1058, 10, 1058, 1806, 5, 19, 15, 23, 1551, 17, 2947, 7792, 859, 917, 359, 309, 7270, 268, 10229, 255, 344, 1679, 335, 973, 6810, 558, 326, 64, 1504, 6, 16, 79, 289, 253, 1461, 448, 253, 1275, 272, 253, 935, 558, 326, 1069, 18, 15, 523, 7837, 9, 18, 1241, 18, 15599, 10, 79, 270, 28055, 278, 22472, 12083, 341, 480, 3975, 4668, 248, 3560, 356, 344, 2868, 272, 1679, 406, 1229, 3428, 309, 289, 255, 6317, 255, 31446, 7270, 268, 10229, 270, 5549, 16741, 14844, 356, 79, 580, 6919, 406, 90, 3391, 5, 19, 15, 6370, 19, 6125, 24, 2793, 255, 2003, 7270, 268, 3821, 356, 79, 580, 19525, 406, 90, 3391, 1069, 19, 15, 24, 1499, 22, 5058, 2793, 255, 2401, 871, 28496, 596, 270, 340, 3560, 363, 309, 11214, 1539, 313, 253, 966, 341, 4641, 285, 326, 1724, 363, 299, 649, 1229, 5695, 7270, 268, 255, 344, 2110, 1461, 558, 4105, 5, 19, 15, 24, 1212, 30650, 25, 10965, 3091, 3369, 255, 260, 2110, 341, 6428, 448, 64, 18, 289, 4652, 277, 7130, 1679, 2087, 272, 542, 558, 255, 4922, 244, 1233, 255, 22308, 299, 51, 85, 12357, 366, 5695, 7270, 268, 1683, 2467, 542, 313, 253, 8640, 5876, 272, 253, 2087, 272, 1679, 6386, 363, 248, 6461, 255, 549, 335, 64, 22, 1186, 11643, 255, 51, 580, 22, 16, 1504, 580, 17, 15, 4941, 4408, 1984, 28055, 278, 22472, 7284, 13102, 84, 272, 4432, 452, 272, 461, 16631, 4726, 3269, 973, 272, 4432, 64, 18, 15599, 1253, 309, 20747, 278, 22472, 7284, 255, 332, 64, 18, 10113, 49, 6584, 309, 10926, 264, 409, 326, 3694, 341, 363, 309, 3962, 255, 344, 4432, 272, 248, 64, 18, 15599, 8493, 559, 2818, 2906, 21392, 1253, 309, 15751, 6768, 4311, 2705, 285, 64, 18, 16, 70, 270, 340, 966, 299, 2778, 652, 620, 3043, 285, 4432, 2633, 255, 1529, 396, 15767, 276, 248, 1119, 461, 14608, 2398, 285, 14654, 2283, 270, 12317, 341, 248, 328, 4032, 2213, 6955, 248, 17186, 3836, 341, 22940, 642, 366, 248, 4432, 272, 650, 276, 309, 289, 6955, 396, 309, 1915, 270, 3136, 255, 475, 1539, 309, 356, 1458, 363, 248, 3659, 406, 344, 4432, 341, 253, 328, 4032, 2213, 558, 6649, 1255, 711, 313, 5394, 64, 18, 16, 70, 270, 974, 309, 580, 643, 396, 313, 2865, 5394, 64, 18, 16, 19, 15, 6900, 270, 600, 313, 277, 1123, 272, 248, 20747, 278, 22472, 6853, 901, 270, 3500, 720, 253, 328, 4032, 2213, 6955, 253, 25985, 255, 1534, 313, 248, 650, 276, 650, 3659, 5455, 272, 14898, 270, 2895, 11224, 650, 3659, 1915, 313, 787, 8956, 433, 253, 23242, 3413, 255, 822, 313, 6804, 2398, 285, 253, 23242, 10136, 289, 24928, 4124, 709, 5939, 270, 340, 4432, 272, 14898, 564, 1915, 642, 272, 248, 3659, 7284, 313, 17629, 2431, 4984, 9345, 9884, 302, 1753, 728, 2934, 23, 9949, 76, 12766, 2709, 9, 728, 11836, 23, 3069, 1801, 20880, 76, 3069, 2709, 9, 18, 14, 728, 11836, 23, 3069, 1801, 20880, 728, 2934, 23, 16558, 76, 28561, 7131, 465, 1829, 255, 344, 4432, 272, 14898, 4451, 1915, 356, 76, 580, 17, 406, 262, 11904, 4984, 1164, 2709, 9, 18, 14, 2431, 2044, 1753, 18, 1736, 728, 2934, 23, 2713, 3069, 1801, 20880, 728, 2934, 23, 2713, 15, 7131, 600, 313, 1199, 2718, 285, 253, 3560, 11904, 4984, 1164, 3951, 18839, 79, 29860, 1164, 11742, 64, 3069, 2709, 9, 18, 14, 2431, 2044, 1753, 18, 1736, 79, 12766, 1801, 20880, 79, 11750, 2431, 2044, 1753, 18, 1736, 70, 2713, 15, 7131, 1984, 14034, 2642, 3413, 1547, 2642, 3413, 366, 4451, 1676, 289, 3154, 2496, 10000, 313, 1724, 363, 253, 2496, 2642, 3413, 255, 7546, 433, 253, 4432, 5088, 1295, 11904, 4984, 1164, 12285, 356, 89, 6673, 2431, 2044, 1753, 18, 5839, 5064, 1753, 19, 18671, 64, 2713, 94, 70, 11836, 2431, 2044, 1753, 18, 1736, 19, 2713, 89, 2934, 19, 2713, 15, 7131, 340, 17718, 272, 3154, 11605, 356, 332, 4133, 652, 3154, 2496, 10000, 406, 16251, 276, 253, 64, 18, 16, 19, 276, 253, 20385, 255, 332, 253, 17718, 272, 3154, 2468, 1666, 775, 253, 6416, 10269, 230, 2615, 406, 16251, 276, 253, 3038, 11904, 4984, 1164, 2827, 4625, 64, 18, 16, 2431, 5064, 1753, 19, 18671, 64, 2713, 3930, 17036, 15877, 2053, 600, 1295, 313, 18919, 1591, 1422, 580, 17, 255, 1529, 396, 10880, 84, 800, 4092, 1461, 11904, 4984, 1164, 2827, 4625, 64, 18, 16, 2431, 5064, 1753, 19, 18671, 64, 2713, 21707, 332, 620, 930, 2231, 2436, 448, 1422, 580, 13234, 18, 12331, 20916, 803, 762, 2912, 1126, 2769, 272, 299, 255, 4629, 5702, 276, 657, 433, 28946, 20747, 278, 22472, 2712, 366, 452, 28346, 23174, 14515, 402, 13354, 78, 441, 255, 262, 276, 253, 1619, 272, 3142, 803, 762, 255, 4629, 1724, 363, 253, 14637, 2806, 1619, 27, 60, 1551, 2053, 79, 23999, 359, 19128, 285, 248, 6472, 255, 332, 448, 253, 7984, 255, 344, 23999, 632, 2806, 556, 304, 1921, 366, 253, 1175, 2213, 255, 3255, 276, 2199, 4847, 253, 304, 1921, 721, 309, 11026, 255, 4789, 29339, 366, 253, 1933, 272, 650, 21404, 270, 1507, 253, 1175, 2213, 620, 461, 5208, 253, 16010, 272, 253, 23999, 255, 332, 705, 423, 13430, 253, 304, 1921, 721, 11026, 4434, 448, 3540, 270, 340, 1619, 272, 402, 13354, 78, 441, 313, 285, 1140, 253, 4432, 341, 10589, 272, 253, 304, 1921, 5152, 2371, 721, 253, 1250, 3761, 270, 340, 2428, 313, 17629, 2431, 4984, 267, 1753, 79, 11750, 18, 14, 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 ]
[ 27826, 313, 277, 32357, 11453, 1247, 270, 340, 30551, 313, 248, 24830, 251, 9764, 289, 3562, 4088, 17843, 649, 344, 1392, 2577, 313, 248, 7133, 285, 4451, 270, 974, 632, 1185, 16972, 289, 4865, 2063, 255, 2350, 40, 6705, 409, 1585, 248, 4931, 2202, 276, 9390, 751, 1608, 314, 45, 1146, 7195, 17839, 313, 248, 5611, 285, 4907, 248, 3057, 272, 477, 83, 6301, 270, 22415, 9656, 2039, 426, 880, 2556, 8536, 4720, 255, 251, 253, 612, 1648, 255, 6458, 19368, 248, 2405, 796, 251, 270, 5559, 363, 477, 8651, 1530, 289, 2405, 796, 251, 2006, 3580, 777, 902, 2335, 289, 3336, 902, 11603, 22143, 1019, 303, 4361, 1954, 335, 650, 255, 23934, 642, 272, 12237, 335, 253, 612, 1019, 12496, 289, 1114, 3378, 14641, 1349, 5275, 289, 16877, 902, 4753, 272, 4992, 270, 19123, 315, 255, 3470, 10577, 285, 3752, 255, 7101, 289, 12077, 356, 2350, 40, 406, 30682, 314, 27826, 313, 652, 32357, 414, 292, 10954, 375, 2136, 3378, 8386, 844, 5978, 1854, 356, 6558, 406, 2251, 7133, 255, 344, 1392, 2577, 4992, 359, 2195, 2898, 730, 253, 30551, 1773, 314, 2350, 40, 313, 248, 1774, 23856, 272, 1461, 5679, 289, 4232, 255, 332, 3965, 3593, 3973, 285, 4792, 390, 289, 5360, 9656, 2039, 426, 880, 14641, 270, 8494, 1602, 1834, 247, 3445, 4412, 272, 248, 3344, 554, 2274, 4652, 6318, 7352, 721, 248, 2372, 314, 465, 480, 2357, 255, 581, 2428, 6936, 1774, 2084, 7099, 14641, 777, 285, 1999, 799, 396, 3218, 285, 19663, 40, 255, 7299, 640, 359, 477, 8651, 1530, 375, 2405, 796, 251, 2006, 3580, 314, 1099, 2063, 272, 19663, 40, 4992, 939, 7099, 14641, 1999, 879, 13196, 3378, 19663, 40, 4992, 359, 3867, 28390, 285, 248, 3344, 289, 409, 8649, 3629, 11440, 397, 6297, 345, 433, 2491, 844, 311, 20553, 276, 12077, 255, 24487, 13419, 255, 263, 1095, 289, 3426, 1751, 2842, 270, 1130, 942, 255, 247, 13103, 2136, 3378, 4992, 255, 260, 2204, 272, 253, 2260, 272, 12077, 289, 277, 2508, 285, 5275, 4992, 359, 27936, 314, 9772, 3378, 19663, 40, 4992, 359, 596, 1412, 2966, 433, 21785, 13248, 276, 2325, 255, 26253, 289, 8782, 8544, 186, 4636, 253, 1114, 1925, 255, 2350, 40, 4992, 359, 596, 1412, 2966, 433, 21785, 13248, 276, 2325, 255, 26253, 289, 8782, 8544, 270, 16653, 1440, 255, 475, 4040, 255, 262, 248, 635, 570, 24186, 1123, 272, 2333, 255, 2255, 16115, 255, 332, 837, 323, 900, 1608, 341, 3435, 273, 2640, 469, 289, 8712, 4829, 270, 340, 5010, 313, 10440, 4563, 276, 3056, 1503, 3397, 2556, 8536, 4720, 359, 14246, 285, 904, 253, 2264, 1019, 485, 10644, 289, 253, 1632, 1019, 262, 2237, 285, 1900, 844, 276, 64, 1428, 1233, 1306, 4275, 314, 919, 359, 2136, 3378, 19663, 40, 4992, 10161, 276, 2136, 3378, 17839, 879, 2350, 40, 4992, 409, 1400, 858, 3722, 289, 1869, 2136, 3378, 14641, 7435, 1350, 596, 730, 3056, 3378, 14641, 891, 476, 253, 29201, 272, 720, 285, 17334, 642, 248, 8157, 375, 3997, 2556, 8536, 4720, 314, 1093, 31062, 651, 332, 888, 409, 1879, 2491, 1363, 14672, 2374, 255, 292, 3268, 2569, 10842, 356, 12823, 25399, 823, 5482, 17525, 8239, 18921, 10842, 255, 505, 23404, 433, 25338, 289, 10188, 9493, 255, 822, 1560, 2868, 248, 2983, 408, 377, 2106, 7100, 9828, 74, 16677, 18917, 255, 14541, 4792, 390, 14672, 10658, 448, 11444, 11778, 1048, 4205, 626, 314, 1093, 1130, 277, 1123, 255, 6894, 607, 88, 8862, 5083, 248, 1199, 1156, 8639, 2300, 3763, 20028, 1387, 253, 525, 27988, 27960, 651, 332, 265, 1262, 800, 5978, 1854, 356, 6558, 406, 14257, 1394, 4183, 276, 350, 330, 872, 335, 3268, 2569, 2556, 8536, 4720, 270, 3258, 10842, 1168, 285, 2518, 8590, 556, 2871, 789, 375, 1215, 1985, 713, 11671, 289, 461, 5517, 713, 806, 1655, 1285, 1865, 285, 2714, 21266, 289, 6435, 335, 1440, 289, 18200, 314, 12823, 25399, 359, 6833, 21266, 276, 4051, 84, 270, 40, 5002, 559, 313, 1774, 186, 1093, 12823, 25399, 359, 652, 6833, 21266, 276, 4051, 84, 2106, 370, 1090, 16677, 18917, 3275, 2318, 554, 1262, 640, 2340, 476, 248, 991, 7099, 10188, 289, 3461, 596, 730, 905, 276, 253, 2136, 3378, 2569, 255, 13334, 28884, 272, 16524, 356, 5364, 406, 263, 7851, 15310, 3275, 3522, 255, 72, 5002, 559, 313, 1774, 270, 13318, 2162, 844, 253, 1978, 3202, 72, 395, 651, 332, 265, 255, 822, 15010, 12077, 2491, 276, 4051, 84, 255, 20792, 253, 3769, 272, 19663, 40, 6705, 448, 632, 6211, 272, 6259, 3767, 2576, 255, 1758, 5367, 289, 8277, 270, 959, 1200, 396, 363, 248, 1810, 335, 1392, 2577, 4232, 363, 1020, 363, 23232, 341, 9669, 2491, 409, 326, 26592, 315, 10358, 921, 2432, 919, 582, 2136, 3378, 4992, 1869, 5360, 9656, 2039, 426, 880, 10842, 879, 2447, 2136, 3378, 19663, 40, 4992, 1309, 248, 2028, 5010, 285, 2136, 3378, 14641, 255, 5681, 3378, 14641, 476, 596, 9883, 270, 34, 257, 15200, 5281, 276, 650, 6313, 8125, 1019, 263, 248, 8729, 335, 253, 3344, 285, 1896, 285, 7280, 253, 2491, 341, 4498, 285, 248, 22618, 1019, 4691, 461, 7367, 476, 248, 1400, 1869, 345, 253, 7099, 3465, 289, 7767, 806, 248, 3056, 720, 17300, 314, 1093, 2968, 7099, 901, 558, 2595, 253, 1774, 4992, 289, 1773, 335, 11440, 397, 1363, 4563, 1285, 2621, 335, 849, 5360, 9656, 2039, 426, 880, 2556, 8536, 4720, 270, 5324, 536, 3896, 917, 359, 1400, 4992, 255, 581, 5369, 1197, 1896, 2106, 7100, 532, 426, 4198, 250, 4030, 255, 14541, 2239, 272, 5360, 9656, 2039, 426, 880, 7099, 448, 11444, 11778, 1048, 4205, 626, 3275, 5324, 2136, 3378, 4992, 14114, 858, 255, 66, 1774, 8283, 313, 811, 253, 2372, 26877, 289, 2572, 396, 313, 3353, 26205, 3253, 285, 2241, 253, 2491, 2432, 1099, 697, 1114, 3378, 19663, 40, 4992, 879, 2447, 1285, 3677, 272, 811, 4563, 5275, 289, 4054, 285, 2136, 3378, 19663, 40, 4992, 313, 1156, 255, 30469, 9656, 2039, 426, 880, 2556, 8536, 4720, 476, 253, 3232, 3395, 272, 248, 3056, 3378, 1892, 270, 974, 250, 4030, 3992, 2032, 4438, 2189, 2404, 721, 1585, 799, 3851, 448, 9509, 717, 17839, 335, 64, 643, 255, 1428, 375, 1350, 64, 2055, 1233, 270, 2124, 359, 253, 3828, 2189, 1591, 277, 3743, 554, 8063, 432, 390, 289, 1773, 9943, 1360, 255, 1458, 363, 276, 25530, 255, 292, 1020, 363, 12077, 314, 27826, 289, 5360, 9656, 2039, 426, 880, 2371, 596, 9349, 345, 1114, 3378, 713, 23128, 341, 359, 30047, 14214, 253, 1280, 186, 1507, 2204, 1114, 3378, 19663, 40, 4992, 313, 277, 8077, 657, 272, 253, 5360, 9656, 2039, 426, 880, 901, 3275, 21300, 285, 2136, 3378, 2556, 8536, 4720, 255, 32720, 289, 5360, 9656, 2039, 426, 880, 276, 1829, 2371, 596, 9349, 345, 1114, 3378, 713, 23128, 341, 359, 30047, 14214, 253, 1280, 1019, 344, 1606, 6295, 255, 15615, 3963, 255, 6452, 1386, 3534, 2106, 7100, 12772, 473, 987, 420, 260, 255, 84, 9021, 2985, 6259, 19211, 14672, 10658, 448, 11444, 11778, 1048, 4205, 626, 314, 1093, 2281, 272, 480, 7143, 849, 3728, 276, 5368, 253, 4453, 289, 23433, 391, 272, 21159, 255, 332, 536, 4379, 2286, 396, 596, 9349, 730, 360, 916, 276, 2136, 3378, 2556, 8536, 4720, 2106, 974, 250, 4030, 10353, 3275, 340, 2258, 360, 1900, 721, 253, 2264, 255, 344, 1319, 360, 409, 8797, 345, 9122, 2837, 272, 248, 3344, 554, 4200, 6762, 289, 253, 596, 2353, 360, 476, 285, 2286, 285, 11470, 10677, 272, 811, 253, 2372, 558, 5472, 276, 253, 3336, 272, 1114, 3378, 7668, 270, 1294, 359, 6807, 6226, 285, 8971, 276, 2377, 272, 4563, 1306, 250, 1070, 900, 4992, 255, 332, 556, 2508, 285, 3937, 1285, 24325, 2432, 1099, 4404, 409, 1114, 3378, 14641, 1409, 285, 2241, 2136, 355, 332, 1114, 3378, 19663, 40, 4992, 879, 974, 1114, 3378, 2871, 789, 255, 1178, 2197, 366, 4563, 313, 2521, 285, 6165, 713, 285, 7740, 1763, 3897, 341, 3703, 1114, 3378, 1608, 4232, 270, 465, 2162, 272, 11440, 397, 255, 5681, 3378, 14641, 409, 3937, 10065, 253, 3344, 289, 6435, 366, 396, 285, 2737, 2491, 359, 10358, 921, 289, 1746, 1197, 5245, 1562, 375, 8961, 721, 1114, 3378, 1800, 28218, 345, 2274, 314, 1452, 255, 347, 4563, 2515, 285, 18200, 2136, 3378, 4992, 375, 285, 3600, 285, 1114, 3378, 4992, 255, 11600, 8277, 433, 556, 14641, 255, 12787, 408, 377, 672, 326, 253, 3691, 4420, 3275, 2447, 536, 1560, 1896, 276, 248, 3344, 554, 64, 1428, 6313, 10954, 366, 277, 19489, 272, 1285, 1865, 285, 2871, 713, 285, 17474, 255, 581, 1927, 341, 4096, 775, 2429, 270, 1316, 849, 1892, 345, 253, 3344, 1889, 255, 581, 558, 14164, 253, 2495, 2106, 7100, 4198, 250, 4030, 314, 9772, 3378, 14641, 409, 652, 1896, 276, 1964, 272, 253, 2569, 1412, 2347, 278, 3650, 433, 2518, 2136, 3378, 7099, 375, 1350, 14121, 14641, 3275, 959, 2539, 1865, 285, 1552, 12492, 366, 1114, 3378, 4088, 289, 255, 247, 783, 2162, 255, 1554, 8355, 4088, 558, 326, 253, 3078, 375, 914, 2300, 272, 1114, 3378, 4088, 270, 600, 2845, 11881, 942, 363, 7088, 11450, 12785, 255, 3656, 3726, 16468, 289, 13013, 270, 600, 3815, 471, 248, 1199, 2352, 6612, 799, 9171, 2106, 7100, 4198, 250, 4030, 314, 5540, 1699, 313, 3867, 2273, 366, 1114, 3378, 17839, 270, 1099, 2202, 582, 2136, 3378, 14641, 1585, 879, 1132, 313, 248, 1354, 22575, 3817, 341, 2136, 3378, 14641, 476, 1319, 3782, 270, 9993, 255, 344, 4087, 289, 3782, 2136, 3378, 14641, 476, 366, 248, 3344, 409, 326, 1114, 1925, 270, 12823, 25399, 1412, 1896, 276, 253, 1112, 3344, 335, 1021, 1233, 255, 822, 2434, 1114, 3378, 19663, 40, 4992, 3973, 255, 332, 6666, 277, 4830, 335, 9290, 8277, 314, 34, 28917, 39, 409, 14623, 248, 3344, 335, 248, 1114, 720, 289, 1275, 725, 2507, 248, 1114, 3378, 1679, 276, 10440, 341, 1647, 16307, 313, 248, 1415, 18396, 186, 1093, 13606, 255, 66, 28917, 39, 409, 1896, 725, 285, 650, 935, 289, 5360, 255, 475, 1123, 255, 623, 21801, 255, 11097, 21801, 255, 14754, 21801, 1185, 16972, 255, 772, 448, 253, 17474, 272, 253, 4029, 255, 344, 10658, 558, 3369, 5517, 396, 806, 2106, 7100, 16677, 18917, 3275, 34, 28917, 39, 341, 6278, 335, 5170, 375, 64, 1204, 1233, 1109, 326, 21266, 276, 277, 1647, 16307, 255, 475, 4040, 248, 3004, 4666, 6526, 255, 475, 253, 29913, 272, 341, 720, 433, 16252, 806, 253, 1185, 16972, 1255, 1464, 375, 3952, 3385, 270, 1065, 409, 14623, 248, 3344, 335, 248, 1114, 720, 289, 1275, 725, 2507, 248, 1114, 3378, 1679, 276, 10440, 341, 1647, 16307, 313, 248, 1415, 18396, 2432, 16653, 1440, 414, 1099, 359, 253, 1774, 4992, 289, 4612, 879, 34, 31821, 1608, 942, 363, 3037, 1440, 543, 3135, 914, 2621, 248, 1114, 3378, 1608, 270, 1452, 255, 264, 313, 6807, 6507, 248, 2136, 3378, 650, 363, 3037, 28390, 1940, 596, 1354, 255, 4106, 11274, 289, 26240, 2302, 11214, 314, 974, 4040, 255, 66, 3520, 26240, 13585, 341, 5208, 10950, 285, 3214, 8639, 9417, 12657, 313, 2507, 277, 1869, 345, 28917, 25399, 15, 18, 797, 465, 783, 29339, 28917, 25399, 255, 1901, 1288, 341, 476, 277, 393, 5072, 5729, 255, 1534, 554, 248, 2205, 3560, 276, 2377, 272, 253, 19663, 40, 10188, 7869, 276, 253, 14672, 255, 549, 783, 10950, 1109, 476, 838, 15625, 861, 640, 1168, 248, 1730, 19663, 40, 10188, 2033, 285, 556, 3037, 5513, 1019, 263, 7619, 16072, 2106, 7100, 16677, 18917, 314, 4007, 10353, 480, 313, 1224, 3268, 2569, 14641, 409, 693, 556, 3782, 285, 6435, 366, 10950, 345, 253, 1889, 640, 1599, 285, 1200, 276, 2377, 272, 2491, 844, 3994, 2090, 64, 20, 5901, 289, 1701, 2274, 270, 3451, 7789, 285, 3056, 3378, 4263, 4307, 255, 23210, 2569, 14641, 476, 9033, 4612, 285, 14623, 31197, 2391, 9159, 3233, 255, 549, 16022, 10950, 285, 3461, 596, 2136, 3378, 8355, 345, 556, 657, 255, 332, 285, 1360, 253, 3037, 6295, 3369, 255, 262, 277, 1156, 1119, 285, 1039, 248, 2732, 314, 32192, 289, 2826, 4563, 359, 1415, 3401, 272, 799, 1114, 3378, 19663, 40, 4992, 409, 1940, 2136, 3378, 2491, 186, 32192, 289, 2826, 4563, 359, 1750, 1415, 1123, 272, 799, 1114, 3378, 19663, 40, 4992, 409, 1940, 2136, 3378, 2491, 270, 1294, 4563, 359, 775, 2958, 2302, 285, 24525, 2634, 453, 9417, 12657, 3724, 8855, 1862, 255, 332, 1021, 1657, 476, 1857, 25834, 6295, 6191, 270, 1507, 1894, 480, 313, 2237, 285, 326, 248, 2451, 3038, 276, 11265, 1114, 3378, 3037, 4992, 255, 264, 6666, 10563, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26059, 2769, 6564, 414, 41, 32523, 525, 27052, 15780, 462, 7683, 24881, 3062, 542, 3488, 21534, 5386, 462, 3248, 9924, 186, 12405, 7227, 6625, 21580, 356, 16795, 876, 634, 255, 5980, 255, 3475, 680, 15435, 2632, 270, 56, 86, 356, 16795, 876, 634, 255, 5980, 255, 3475, 680, 2860, 260, 533, 84, 6625, 393, 270, 51, 278, 356, 39, 4047, 1390, 255, 5980, 255, 3475, 680, 8423, 7683, 12301, 566, 28371, 47, 30336, 58, 599, 12081, 186, 5577, 36, 25, 5468, 414, 4393, 4941, 37, 4066, 18023, 186, 7574, 1933, 414, 29300, 3226, 375, 9005, 5476, 9005, 8237, 2861, 9132, 6519, 9005, 375, 9005, 248, 18105, 3226, 186, 15590, 4115, 414, 971, 26, 14, 8245, 14, 2253, 186, 26059, 2769, 966, 414, 971, 2857, 18, 17, 5744, 5276, 186, 34, 16854, 5476, 10596, 5406, 11843, 448, 2082, 2172, 5476, 186, 77, 14159, 3483, 248, 8631, 255, 66, 5016, 19263, 53, 66, 5476, 11635, 3395, 345, 253, 186, 4138, 1221, 369, 255, 12347, 253, 5016, 19263, 53, 66, 5476, 11635, 3395, 11052, 16037, 186, 29, 1456, 448, 8615, 332, 566, 66, 2870, 23, 448, 64, 7708, 66, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 186, 6490, 19263, 53, 66, 3395, 255, 12347, 253, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 11052, 16037, 578, 728, 14, 1499, 7708, 49, 85, 414, 21, 14, 25, 448, 64, 7708, 35, 414, 23, 14, 728, 7708, 66, 1508, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 186, 5886, 5016, 19263, 49, 85, 35, 5476, 3395, 255, 332, 248, 3704, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 186, 8001, 5016, 19263, 49, 85, 35, 3395, 255, 12347, 253, 3704, 5016, 19263, 49, 85, 35, 5476, 3395, 11052, 186, 19263, 414, 1058, 14, 1456, 448, 64, 7708, 49, 85, 414, 1058, 14, 1456, 448, 64, 7708, 35, 414, 728, 14, 1499, 448, 8615, 332, 620, 2870, 728, 448, 8615, 19263, 730, 186, 1554, 276, 253, 1508, 5016, 19263, 49, 85, 35, 5476, 3395, 313, 19552, 314, 1298, 270, 34, 1135, 272, 6961, 248, 16854, 5476, 10596, 5406, 11843, 448, 2082, 2172, 5476, 6044, 255, 344, 1135, 11843, 27, 9994, 395, 2389, 248, 5016, 19263, 53, 66, 5476, 11635, 3395, 345, 248, 8631, 255, 12347, 253, 5016, 19263, 53, 66, 5476, 11635, 3395, 11052, 16037, 2870, 1456, 448, 8615, 332, 566, 66, 2870, 23, 448, 12694, 13, 9994, 395, 2389, 248, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 5016, 19263, 53, 66, 3395, 255, 12347, 253, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 11052, 16037, 414, 728, 14, 1499, 7708, 49, 85, 414, 21, 14, 25, 448, 64, 7708, 35, 414, 23, 14, 728, 6, 13, 9994, 395, 2389, 248, 1508, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 255, 332, 9994, 395, 2389, 248, 3704, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 1508, 5016, 19263, 49, 85, 35, 3395, 255, 12347, 253, 3704, 5016, 19263, 49, 85, 35, 5476, 3395, 11052, 16037, 414, 1058, 14, 1456, 448, 64, 7708, 49, 85, 414, 1058, 14, 1456, 448, 64, 7708, 35, 414, 728, 14, 1499, 448, 8615, 332, 620, 2870, 728, 448, 8615, 19263, 730, 341, 276, 253, 1508, 5016, 19263, 49, 85, 35, 5476, 3395, 314, 1058, 270, 340, 1135, 272, 2980, 64, 1298, 255, 12347, 253, 1508, 5016, 19263, 49, 85, 35, 5476, 3395, 11052, 16037, 414, 2296, 14, 2791, 448, 64, 7708, 49, 85, 414, 1298, 14, 1204, 448, 8615, 332, 538, 414, 21, 14, 25, 448, 12694, 314, 1551, 270, 340, 1135, 272, 2980, 64, 1058, 255, 16198, 11843, 6703, 2389, 248, 1602, 2039, 7119, 610, 6558, 11635, 3395, 11843, 5016, 289, 16037, 366, 16037, 2143, 2931, 375, 2898, 730, 64, 1428, 448, 64, 7708, 344, 1602, 2039, 7119, 610, 6558, 11635, 3395, 1285, 16685, 877, 253, 8631, 289, 253, 5016, 19263, 53, 66, 5476, 11635, 3395, 314, 1499, 270, 340, 1135, 272, 2980, 64, 1551, 255, 16198, 11843, 6703, 2389, 277, 775, 29491, 877, 253, 1602, 2039, 7119, 610, 6558, 11635, 3395, 289, 253, 8631, 314, 1204, 270, 340, 1135, 272, 2980, 64, 1499, 255, 12347, 253, 775, 29491, 11052, 248, 538, 4878, 289, 3824, 538, 19, 11462, 1400, 314, 1456, 270, 340, 1135, 272, 2980, 64, 1204, 255, 12347, 253, 775, 29491, 620, 248, 2115, 4434, 453, 248, 2167, 3395, 255, 77, 2742, 483, 1388, 307, 14159, 11843, 248, 538, 4878, 289, 3824, 538, 19, 11462, 1400, 255, 332, 20204, 483, 12774, 272, 538, 4878, 289, 538, 19, 11462, 2500, 314, 1626, 270, 340, 1135, 272, 2980, 64, 1499, 255, 16198, 11843, 6703, 2389, 248, 6693, 29491, 314, 1212, 270, 340, 1135, 272, 2980, 64, 1298, 255, 16198, 11843, 6703, 2389, 248, 3150, 806, 1789, 252, 289, 248, 16583, 417, 3395, 314, 18023, 4630, 37, 6039, 6143, 55, 7008, 4021, 186, 340, 1309, 4337, 11801, 285, 253, 10596, 255, 28609, 289, 2873, 272, 5476, 878, 255, 5482, 5476, 10596, 3604, 366, 448, 2082, 2172, 5476, 6044, 289, 2507, 248, 2274, 341, 313, 11009, 2011, 285, 341, 272, 4597, 1834, 254, 31345, 12684, 11749, 356, 34, 13394, 406, 23245, 314, 29300, 23540, 289, 8963, 12617, 359, 17407, 753, 7728, 335, 16676, 878, 276, 10363, 15200, 831, 270, 3734, 16727, 255, 623, 375, 596, 23540, 359, 26421, 345, 248, 3884, 6812, 276, 4069, 366, 878, 875, 8892, 11237, 15744, 276, 2718, 17933, 285, 253, 10596, 6737, 272, 253, 23540, 289, 7848, 3369, 1843, 1588, 366, 3121, 917, 864, 270, 29300, 23540, 359, 2340, 6777, 271, 276, 248, 5476, 8963, 3154, 276, 248, 18047, 1402, 366, 248, 5476, 2239, 2507, 248, 1661, 3381, 1762, 19745, 276, 2893, 366, 289, 21466, 2215, 253, 2005, 272, 253, 8963, 270, 5657, 359, 3241, 5813, 289, 1179, 453, 248, 6768, 16147, 10596, 8963, 433, 1633, 272, 248, 5476, 2239, 26824, 9316, 341, 16107, 6804, 806, 253, 2005, 272, 253, 8963, 270, 3734, 16727, 255, 4789, 3336, 272, 973, 8963, 558, 476, 800, 1395, 4726, 2239, 314, 465, 248, 5476, 3604, 255, 19268, 1030, 356, 4456, 5539, 363, 10045, 272, 953, 17, 709, 1045, 332, 953, 18, 709, 11232, 262, 3241, 345, 8609, 5476, 10081, 356, 822, 3068, 359, 1509, 725, 272, 1021, 1350, 4059, 12161, 795, 1316, 248, 3783, 313, 3241, 255, 66, 5476, 2035, 3630, 433, 253, 1169, 5042, 709, 2239, 375, 1474, 253, 3783, 709, 10363, 1208, 276, 248, 1829, 3559, 255, 27620, 285, 2518, 248, 64, 17, 375, 64, 18, 270, 340, 10363, 1096, 276, 253, 2239, 276, 12486, 953, 2923, 2733, 1045, 344, 10363, 1208, 276, 253, 3783, 877, 871, 6608, 6466, 515, 314, 29300, 6027, 1834, 27861, 3604, 255, 12347, 248, 6071, 1125, 1142, 2620, 68, 31934, 5476, 18526, 3395, 9135, 363, 253, 3546, 10596, 5406, 3395, 255, 505, 3369, 10313, 363, 953, 5681, 13481, 1045, 263, 953, 457, 12031, 4551, 8936, 345, 253, 9749, 272, 253, 5476, 10919, 272, 253, 12161, 272, 253, 5476, 1400, 270, 465, 16854, 3604, 356, 4629, 1412, 5877, 363, 953, 898, 5353, 1045, 23245, 823, 344, 10363, 1208, 276, 253, 10081, 313, 990, 6643, 877, 17203, 5140, 289, 4597, 24005, 4460, 285, 253, 3559, 276, 696, 253, 2239, 313, 4467, 2736, 285, 253, 1169, 270, 465, 13370, 3604, 255, 344, 10363, 1208, 272, 253, 1169, 255, 8980, 272, 17203, 276, 253, 1169, 709, 6175, 363, 396, 1147, 276, 16854, 10596, 255, 1078, 84, 345, 1275, 13370, 285, 253, 6175, 272, 253, 1169, 270, 340, 10081, 359, 1232, 6834, 363, 4608, 272, 16227, 375, 17772, 9216, 10363, 1208, 356, 27620, 285, 253, 64, 18, 709, 289, 64, 17, 709, 272, 253, 3518, 878, 1436, 8727, 270, 18, 2838, 248, 8963, 10596, 5406, 289, 248, 3555, 3127, 272, 248, 1169, 6984, 253, 2732, 877, 16854, 289, 13370, 10596, 270, 4206, 1960, 6588, 270, 18, 2838, 650, 2097, 272, 253, 1602, 2039, 7119, 8963, 255, 30540, 10596, 6044, 359, 477, 11985, 16685, 345, 1213, 4887, 272, 253, 1602, 2039, 7119, 13310, 8631, 272, 6588, 270, 18, 270, 3737, 255, 2919, 1960, 6588, 270, 18, 2838, 277, 13310, 8631, 255, 1126, 13920, 1540, 248, 8631, 1509, 272, 5095, 255, 27943, 14, 1100, 12137, 255, 31061, 49, 16, 265, 10680, 255, 26334, 25154, 255, 18725, 8872, 27216, 1400, 255, 1100, 12137, 255, 27943, 2411, 27216, 255, 738, 19070, 2500, 375, 612, 1602, 2039, 7119, 2500, 314, 38, 501, 2780, 359, 16896, 1285, 1509, 285, 1959, 253, 359, 265, 10596, 5088, 255, 74, 3031, 1353, 344, 3783, 5088, 255, 263, 10081, 16, 14516, 1666, 255, 332, 3484, 3665, 2039, 271, 1496, 6007, 4082, 356, 10232, 27262, 406, 999, 253, 5476, 3604, 270, 1283, 3937, 18312, 359, 265, 22839, 289, 1959, 3635, 4831, 4190, 255, 344, 878, 10081, 1349, 326, 1509, 4059, 289, 2371, 8097, 2307, 270, 1452, 255, 1534, 359, 6765, 285, 811, 1324, 253, 10081, 672, 326, 1509, 270, 859, 253, 3783, 3714, 1798, 1324, 255, 344, 5476, 1606, 10065, 253, 3783, 276, 1741, 672, 1940, 705, 1324, 341, 7239, 1606, 672, 1783, 396, 285, 1572, 1383, 308, 986, 806, 720, 270, 600, 8143, 313, 1724, 363, 2861, 15627, 1383, 308, 1096, 270, 1283, 2798, 2861, 15627, 7119, 1980, 255, 9442, 3604, 12533, 476, 838, 2958, 253, 897, 1688, 1991, 356, 344, 953, 8659, 1045, 27945, 285, 2921, 248, 3783, 406, 999, 253, 1169, 270, 1452, 255, 344, 4497, 341, 409, 326, 3298, 359, 3562, 433, 253, 5476, 2500, 453, 696, 253, 2239, 313, 1509, 255, 332, 755, 6765, 359, 1285, 24396, 314, 3449, 254, 16854, 10596, 2142, 1109, 1418, 4267, 64, 10069, 24851, 378, 887, 604, 3756, 11555, 276, 5088, 270, 34, 1825, 5010, 10572, 313, 7611, 248, 2352, 3484, 335, 253, 10081, 6954, 345, 253, 3604, 270, 1316, 253, 3783, 2091, 313, 4112, 255, 344, 3484, 313, 8265, 255, 4741, 253, 10081, 596, 2261, 285, 3839, 255, 292, 1020, 363, 596, 2261, 285, 2626, 6608, 1253, 10596, 1030, 314, 2080, 272, 253, 1774, 4111, 285, 16065, 5476, 10596, 2325, 4267, 253, 4733, 5988, 64, 2947, 14, 1504, 608, 3946, 16, 247, 19, 359, 265, 22839, 313, 285, 2022, 253, 3484, 285, 6007, 4082, 433, 3604, 6007, 20058, 270, 673, 313, 1020, 1724, 341, 253, 16854, 17379, 2023, 255, 822, 313, 285, 2587, 253, 3604, 11612, 2005, 1666, 276, 7405, 285, 253, 3783, 1046, 2005, 1666, 255, 262, 3562, 433, 253, 11534, 272, 2861, 14, 15627, 7119, 18138, 255, 822, 313, 7001, 1861, 270, 9330, 3910, 1987, 285, 2798, 480, 1619, 270, 31894, 255, 623, 620, 8295, 483, 253, 2392, 276, 11612, 3709, 433, 2958, 253, 5476, 26873, 356, 260, 31849, 14666, 4650, 2691, 255, 344, 2921, 2035, 272, 253, 10596, 2239, 6765, 480, 2023, 270, 23361, 1834, 254, 31345, 12684, 11749, 356, 34, 13394, 406, 472, 265, 27850, 3604, 476, 7744, 783, 10389, 433, 2958, 253, 2379, 3604, 8959, 289, 22084, 11612, 3709, 1655, 10273, 2315, 1518, 1202, 270, 340, 8833, 2140, 272, 480, 2023, 255, 2691, 255, 30027, 285, 326, 3191, 3562, 270, 2164, 253, 612, 1648, 255, 1229, 1464, 1915, 4059, 11612, 949, 15277, 255, 2236, 4733, 697, 64, 26, 10974, 1392, 285, 697, 64, 20, 10974, 255, 332, 5499, 315, 697, 5170, 1915, 2031, 359, 265, 22839, 1109, 326, 15919, 861, 2697, 10363, 980, 1331, 10716, 2500, 255, 1458, 363, 3336, 21906, 1938, 308, 2368, 3071, 9173, 49, 85, 25154, 255, 2251, 326, 12994, 314, 600, 4337, 2421, 248, 1388, 307, 357, 1087, 6027, 6058, 6335, 5476, 5406, 13345, 277, 11635, 3395, 2115, 341, 620, 1415, 5476, 10596, 2274, 335, 991, 5088, 5476, 10596, 10775, 314, 52, 9139, 23985, 58, 6039, 7515, 6143, 55, 7008, 4021, 186, 2080, 8620, 272, 480, 4337, 11801, 285, 248, 16854, 5476, 10596, 5406, 11843, 448, 2082, 2172, 5476, 6044, 11843, 414, 66, 8631, 255, 66, 5016, 19263, 53, 66, 5476, 11635, 3395, 345, 253, 8631, 255, 12347, 253, 5016, 19263, 53, 66, 5476, 11635, 3395, 11052, 16037, 2870, 1456, 448, 8615, 332, 566, 66, 2870, 23, 448, 64, 7708, 66, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 5016, 19263, 53, 66, 3395, 255, 12347, 253, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 11052, 16037, 414, 728, 14, 1499, 7708, 49, 85, 414, 21, 14, 25, 448, 64, 7708, 35, 414, 23, 14, 728, 7708, 66, 1508, 5016, 19263, 49, 85, 35, 5476, 3395, 345, 253, 965, 5016, 19263, 49, 85, 35, 5476, 3395, 255, 332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7804, 347, 2622, 888, 414, 3295, 4380, 11354, 285, 26521, 289, 253, 6639, 272, 6733, 535, 4740, 548, 186, 3, 4747, 15757, 289, 1020, 8575, 6603, 7225, 18992, 4600, 18992, 680, 3, 4275, 315, 289, 18206, 9410, 7225, 42, 6011, 579, 2622, 398, 680, 3, 28109, 315, 6108, 7225, 36, 2695, 680, 3, 14759, 480, 2133, 543, 248, 1618, 19239, 7225, 4026, 270, 12705, 3058, 270, 9713, 5015, 5518, 3, 260, 6595, 2326, 285, 253, 2721, 375, 11558, 7273, 7225, 37, 606, 665, 680, 3, 66, 6108, 4713, 7225, 39, 28630, 525, 1629, 680, 11990, 4268, 22309, 5628, 186, 1345, 1203, 566, 270, 14435, 70, 18, 186, 332, 452, 6420, 76, 987, 332, 583, 323, 668, 19, 186, 18, 30925, 272, 7412, 20035, 255, 6076, 13412, 599, 9150, 30955, 13, 6291, 18, 599, 9150, 30955, 255, 8840, 22260, 649, 19, 13895, 70, 284, 8, 38, 85, 9881, 749, 5723, 2915, 610, 29050, 668, 6499, 796, 450, 15927, 798, 255, 45, 8, 54, 1916, 46, 24663, 264, 3832, 284, 8, 12541, 391, 255, 332, 9270, 8464, 572, 402, 5443, 292, 264, 660, 589, 14, 4126, 68, 660, 589, 255, 12073, 250, 13412, 1386, 24663, 10562, 572, 255, 12541, 391, 255, 17006, 186, 89, 1241, 3086, 21, 186, 15720, 19014, 28213, 375, 3008, 1069, 20, 683, 22415, 2133, 186, 263, 31733, 2925, 38, 4278, 578, 3475, 1069, 20, 683, 22415, 31468, 186, 12808, 391, 891, 10161, 480, 2133, 652, 10161, 578, 10168, 2573, 3318, 433, 27194, 18275, 359, 248, 1737, 2985, 1619, 414, 66, 3844, 18932, 483, 433, 253, 3562, 9070, 272, 1415, 1782, 347, 28630, 3910, 270, 11188, 27806, 5278, 7673, 255, 3470, 14993, 359, 18075, 3116, 12684, 1331, 8097, 285, 253, 1391, 4076, 730, 8871, 14993, 270, 600, 4753, 3986, 6765, 285, 253, 1684, 272, 8313, 3726, 20589, 7870, 2682, 8676, 270, 340, 10890, 272, 1998, 11354, 1634, 332, 612, 991, 24203, 4764, 276, 3520, 1233, 620, 6300, 2067, 253, 2035, 272, 1782, 347, 28630, 1251, 12412, 1003, 3498, 285, 3722, 2595, 4953, 6830, 289, 3408, 2898, 7352, 721, 2682, 3837, 5603, 270, 10840, 409, 19602, 253, 2753, 11307, 709, 2669, 285, 818, 1829, 2559, 375, 7270, 14355, 4558, 248, 8432, 2204, 272, 20589, 8683, 289, 253, 4076, 1834, 2622, 398, 5327, 314, 465, 480, 2133, 248, 8389, 272, 991, 5429, 8169, 4220, 2421, 277, 9410, 272, 1557, 1782, 347, 28630, 1251, 270, 1427, 10278, 359, 3241, 453, 248, 6468, 289, 18463, 5342, 289, 1516, 29955, 2837, 3017, 696, 285, 3226, 2264, 1251, 4924, 270, 23492, 1540, 414, 344, 6468, 5603, 4660, 335, 1782, 347, 28630, 3837, 285, 253, 9805, 5760, 255, 2130, 2948, 255, 11587, 31238, 255, 332, 20057, 247, 431, 332, 1054, 649, 71, 28630, 18700, 307, 677, 649, 71, 28630, 7870, 5689, 10067, 341, 15330, 1773, 892, 8676, 649, 19570, 90, 285, 16163, 5963, 3989, 1782, 347, 28630, 6800, 649, 25384, 272, 991, 24203, 4772, 789, 272, 2970, 7270, 13324, 649, 3448, 5693, 253, 4076, 2669, 649, 417, 347, 28630, 11708, 649, 332, 3095, 2837, 314, 600, 3709, 313, 277, 2521, 3906, 335, 5212, 366, 277, 1679, 276, 20589, 28958, 270, 34, 5143, 2133, 335, 632, 8683, 289, 2755, 14245, 314, 3, 1662, 1797, 23745, 28266, 1771, 345, 1782, 347, 2622, 888, 313, 1213, 15757, 289, 1020, 8575, 6603, 12950, 329, 10278, 10189, 3159, 20589, 8683, 366, 7352, 453, 9511, 8683, 285, 6580, 248, 6108, 289, 4396, 389, 5326, 272, 480, 1666, 12950, 1662, 1020, 14, 23818, 3709, 29990, 2307, 7352, 453, 6468, 8683, 255, 71, 28630, 8683, 255, 332, 20589, 779, 11354, 285, 2286, 277, 6595, 5326, 341, 916, 326, 5453, 3059, 285, 23547, 7600, 1158, 255, 5602, 6179, 255, 332, 1288, 4660, 335, 4829, 621, 14390, 3144, 1480, 3602, 270, 340, 4220, 359, 1020, 6835, 255, 10818, 4453, 276, 556, 10264, 1964, 255, 332, 359, 5261, 8060, 453, 248, 1199, 725, 3665, 19961, 2204, 272, 20589, 8683, 270, 465, 1829, 255, 344, 2133, 709, 2429, 272, 6468, 4668, 285, 2578, 7658, 255, 13467, 402, 898, 87, 1555, 255, 332, 5603, 272, 3837, 558, 326, 5453, 6108, 285, 1288, 2552, 276, 480, 1156, 1666, 5192, 2236, 24261, 4600, 18992, 356, 993, 22, 406, 728, 414, 15653, 20, 14, 15653, 21, 314, 3, 600, 2133, 2421, 248, 6108, 4713, 285, 253, 902, 4668, 1657, 6507, 1895, 270, 31259, 6861, 473, 4220, 7906, 453, 64, 1298, 2800, 476, 5632, 285, 2856, 480, 15757, 289, 18206, 9410, 12950, 340, 5126, 6013, 359, 2692, 5343, 4978, 12950, 340, 2133, 313, 1020, 4230, 366, 20064, 255, 6755, 28222, 255, 9809, 260, 1923, 15810, 255, 332, 277, 4152, 696, 2845, 632, 26594, 272, 1829, 6830, 270, 340, 19700, 359, 285, 326, 9504, 7474, 3486, 345, 253, 5076, 272, 5126, 289, 24316, 285, 2856, 942, 277, 4396, 389, 3709, 276, 942, 248, 3904, 2039, 7831, 289, 23273, 2035, 5192, 2236, 532, 6011, 579, 2622, 398, 356, 993, 22, 406, 23, 414, 2644, 186, 3, 600, 2133, 313, 248, 6021, 289, 1557, 4096, 272, 1782, 347, 28630, 4705, 366, 248, 12170, 9349, 345, 1782, 347, 28630, 2682, 3837, 289, 2682, 7165, 12950, 344, 2133, 8197, 345, 3520, 11336, 276, 1237, 7858, 268, 253, 6468, 5603, 272, 2682, 3837, 12950, 600, 2133, 558, 326, 5314, 6108, 285, 13381, 276, 2755, 1249, 68, 985, 255, 1758, 4546, 289, 892, 3498, 255, 537, 7255, 2538, 289, 3966, 20667, 6179, 255, 332, 14315, 1807, 15414, 9439, 248, 4081, 8434, 345, 253, 1557, 1402, 272, 1782, 347, 28630, 2682, 3837, 289, 1782, 347, 28630, 1480, 5192, 2236, 16940, 1048, 29845, 21194, 356, 993, 22, 406, 7498, 414, 14070, 20, 14, 14070, 21, 314, 3, 14759, 480, 2133, 543, 248, 1618, 19239, 255, 292, 253, 1292, 1887, 9404, 892, 2010, 697, 277, 12373, 268, 1619, 272, 2958, 20589, 3837, 289, 1895, 1782, 347, 28630, 3699, 12950, 66, 6108, 1771, 335, 6824, 276, 253, 2035, 272, 1782, 347, 28630, 1251, 270, 3500, 6017, 313, 7378, 3241, 289, 3077, 285, 1290, 12950, 1662, 1020, 4414, 9052, 289, 4230, 867, 313, 3593, 3059, 335, 1213, 4497, 272, 20589, 1251, 289, 939, 326, 1179, 461, 914, 433, 4377, 2552, 276, 2035, 272, 20589, 3837, 1175, 652, 433, 6824, 276, 3966, 2035, 5192, 2236, 4380, 270, 12705, 3058, 270, 9713, 5015, 1683, 993, 22, 406, 3716, 414, 2950, 20, 14, 2950, 21, 314, 3, 13597, 2552, 276, 253, 1249, 68, 985, 2035, 289, 3743, 4377, 3504, 892, 19325, 1767, 67, 3594, 558, 1140, 480, 591, 8314, 1199, 3059, 270, 465, 29845, 1807, 15104, 9538, 2081, 366, 20589, 4028, 558, 1140, 480, 2133, 467, 2541, 2319, 12950, 600, 313, 277, 6595, 2326, 285, 253, 2721, 375, 11558, 7273, 272, 1288, 2552, 276, 253, 2035, 272, 1249, 68, 985, 255, 417, 317, 20579, 2682, 1480, 255, 263, 14315, 4028, 270, 673, 9404, 2307, 276, 650, 7854, 255, 66, 591, 8314, 272, 6439, 453, 5045, 6824, 276, 20589, 8683, 289, 253, 4474, 289, 6468, 3468, 272, 1782, 347, 28630, 3837, 5192, 2236, 525, 606, 665, 186, 3, 15499, 248, 6108, 4713, 12950, 247, 575, 729, 255, 2602, 12103, 289, 5387, 15810, 12950, 8132, 326, 1895, 276, 632, 1251, 20863, 9529, 366, 1249, 68, 985, 255, 19275, 289, 8751, 14245, 5192, 2236, 579, 28630, 525, 1629, 186, 6863, 272, 8900, 186, 18, 270, 20174, 19318, 3108, 272, 26521, 272, 29577, 8005, 31791, 270, 864, 17022, 23790, 1938, 2234, 268, 6951, 347, 2622, 888, 186, 24919, 8745, 84, 416, 270, 55, 1318, 14414, 12804, 186, 24821, 23790, 1938, 2234, 268, 1782, 347, 28630, 4705, 2076, 253, 905, 6260, 1214, 272, 1895, 1782, 347, 2622, 888, 270, 11024, 980, 1895, 7050, 1938, 2234, 268, 4705, 718, 2518, 433, 32088, 28939, 5595, 319, 19710, 12536, 375, 433, 8384, 28939, 5595, 319, 3233, 276, 253, 20589, 1046, 7050, 270, 8080, 72, 5595, 319, 19710, 12536, 14972, 1540, 253, 1539, 1214, 272, 25731, 1624, 4705, 255, 292, 1020, 363, 248, 1831, 612, 4705, 453, 1464, 902, 2970, 5440, 414, 753, 6825, 1016, 255, 16359, 319, 1016, 289, 298, 74, 431, 31603, 353, 717, 270, 340, 9422, 18221, 272, 28939, 5595, 319, 8384, 4705, 359, 253, 2620, 31238, 255, 1758, 871, 3546, 6830, 276, 3966, 693, 414, 353, 19968, 17600, 247, 538, 289, 309, 90, 303, 5046, 270, 16560, 902, 5603, 272, 3837, 285, 7050, 15465, 4705, 476, 838, 3173, 270, 2789, 2527, 5603, 672, 326, 20208, 363, 21140, 272, 253, 21065, 12711, 272, 253, 2682, 255, 999, 253, 2682, 2578, 356, 13467, 10138, 3975, 21140, 375, 725, 26253, 823, 263, 272, 253, 9081, 319, 19710, 12536, 10059, 270, 10752, 255, 11619, 5603, 10189, 276, 253, 1112, 29577, 8005, 31791, 270, 14206, 369, 255, 898, 1842, 2341, 1757, 3363, 1959, 276, 2682, 3837, 270, 600, 6017, 7639, 248, 2429, 272, 253, 1724, 5603, 272, 3837, 272, 29577, 8005, 31791, 270, 864, 7050, 1938, 2234, 268, 1782, 347, 2622, 888, 4733, 276, 693, 285, 1299, 6342, 17291, 314, 19, 270, 9231, 462, 17808, 289, 17022, 23790, 1938, 2234, 268, 6951, 347, 2622, 888, 26521, 276, 3846, 457, 72, 23481, 273, 364, 330, 6206, 289, 612, 1602, 4663, 332, 8005, 21482, 186, 465, 13311, 20589, 5938, 359, 9448, 366, 277, 2958, 3612, 270, 340, 2374, 272, 755, 5938, 313, 7383, 289, 253, 8214, 313, 991, 270, 1294, 6348, 1039, 22962, 285, 791, 3672, 3213, 247, 2078, 693, 1782, 347, 28630, 6800, 285, 1299, 289, 2071, 20589, 5938, 270, 340, 2650, 693, 272, 755, 4705, 620, 9041, 276, 253, 1480, 272, 3837, 270, 7804, 347, 28630, 3837, 313, 5701, 366, 902, 6468, 5603, 3483, 27876, 276, 2682, 2578, 255, 28739, 272, 253, 21065, 5370, 272, 253, 2682, 255, 778, 250, 23732, 1592, 272, 253, 2682, 2578, 255, 2700, 270, 340, 3545, 272, 480, 6017, 313, 285, 21728, 253, 5603, 272, 15797, 289, 10373, 3837, 285, 28939, 5595, 319, 19710, 12536, 14972, 289, 2620, 31238, 276, 3846, 457, 72, 23481, 273, 364, 330, 6206, 289, 612, 1602, 4663, 332, 8005, 2065, 2033, 285, 1120, 10394, 276, 10778, 14920, 276, 28939, 5595, 319, 19710, 12536, 10067, 270, 600, 6017, 558, 1939, 7095, 276, 25731, 1624, 4705, 2790, 25731, 1624, 3837, 313, 650, 272, 253, 1266, 1800, 341, 3159, 7249, 68, 985, 313, 9961, 270, 34, 6168, 289, 7966, 877, 11917, 10973, 289, 7900, 84, 5357, 272, 3837, 558, 326, 3173, 289, 8070, 12749, 396, 313, 17814, 433, 253, 9875, 3641, 3989, 877, 755, 2424, 272, 18275, 314, 20, 270, 38, 329, 247, 431, 332, 1054, 414, 2789, 2527, 19318, 3108, 186, 52, 417, 13331, 1028, 16561, 90, 282, 289, 15883, 4884, 77, 569, 186, 38, 329, 247, 431, 332, 1054, 255, 1758, 259, 7039, 999, 445, 1981, 255, 5769, 2369, 445, 1981, 255, 332, 277, 322, 336, 2369, 445, 1981, 359, 11714, 1542, 20902, 7935, 2090, 32704, 341, 18033, 14321, 14, 18, 13, 20, 23763, 927, 260, 2914, 380, 568, 289, 11267, 20589, 1046, 3658, 8950, 270, 1245, 3521, 6595, 285, 10230, 2057, 9118, 905, 29577, 8005, 289, 3846, 457, 72, 23481, 2065, 255, 4714, 10373, 3837, 6807, 10273, 2581, 556, 693, 9118, 400, 270, 4835, 378, 83, 733, 270, 34, 3078, 16844, 313, 253, 15797, 3837, 272, 632, 612, 20589, 14993, 270, 23310, 1780, 272, 10373, 3837, 276, 393, 18767, 3701, 641, 7599, 4163, 23638, 3919, 253, 8077, 7050, 3315, 579, 607, 18, 363, 253, 20057, 247, 431, 332, 247, 2578, 270, 46, 17808, 9247, 721, 4287, 11359, 64, 18, 289, 255, 1526, 4533, 255, 19, 289, 64, 20, 696, 3412, 248, 2011, 20800, 414, 11269, 375, 9687, 285, 253, 7914, 8126, 1781, 272, 253, 9452, 7050, 255, 332, 990, 32729, 248, 3884, 1859, 5885, 18279, 5769, 4894, 5157, 253, 2237, 8631, 8384, 289, 22513, 4762, 270, 340, 9200, 3837, 6598, 433, 1953, 579, 607, 18, 10394, 313, 5737, 366, 1580, 5327, 877, 253, 3893, 483, 17589, 289, 20057, 247, 431, 332, 247, 7870, 2097, 13454, 270, 10152, 430, 3837, 313, 652, 28930, 889, 433, 477, 3094, 28078, 322, 19710, 12536, 10059, 10394, 255, 14810, 248, 2476, 2079, 667, 1222, 335, 20057, 247, 431, 332, 247, 6932, 607, 18, 2039, 388, 23790, 5327, 270, 15376, 272, 579, 607, 18, 4287, 6767, 4608, 453, 18275, 341, 11222, 500, 10355, 980, 4112, 21297, 356, 36, 332, 8005, 1381, 2127, 307, 2385, 406, 263, 3837, 356, 1758, 579, 398, 16131, 289, 393, 819, 395, 1814, 1496, 2065, 406, 23052, 847, 10722, 341, 359, 2237, 285, 5337, 285, 1288, 30316, 270, 11493, 24316, 2237, 1540, 248, 4112, 2202, 335, 14321, 14 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27462, 14, 15322, 5492, 19408, 17445, 9740, 1591, 253, 13593, 4555, 414, 66, 1576, 1713, 186, 12819, 39, 1910, 258, 67, 495, 2213, 2017, 382, 649, 790, 1544, 70, 17168, 4600, 9437, 21340, 270, 993, 18, 186, 3030, 6603, 414, 1204, 9292, 64, 993, 18, 186, 31510, 414, 1626, 10740, 64, 993, 18, 186, 14018, 414, 1626, 10740, 64, 993, 18, 186, 3444, 1013, 265, 375, 24266, 847, 25518, 289, 3824, 500, 851, 30895, 9740, 272, 19408, 17445, 313, 277, 18965, 831, 272, 17946, 270, 3206, 396, 1147, 461, 4537, 253, 1112, 1608, 363, 17445, 32339, 23791, 312, 255, 264, 672, 1783, 19030, 2240, 289, 4674, 6432, 314, 2467, 247, 536, 1309, 253, 1576, 272, 248, 64, 3019, 6313, 10798, 5584, 2727, 891, 2511, 277, 1779, 379, 389, 19943, 19401, 5510, 7233, 10505, 14, 15322, 5492, 6218, 366, 9740, 272, 29806, 17445, 289, 2032, 612, 6270, 5383, 721, 253, 2355, 6938, 1591, 253, 2299, 13593, 697, 64, 1204, 1233, 1485, 3634, 6474, 270, 974, 3966, 7262, 2445, 16536, 289, 248, 9597, 1542, 2251, 272, 253, 4442, 1666, 724, 3760, 270, 5934, 255, 12953, 543, 3022, 285, 2762, 253, 17445, 5370, 276, 253, 1704, 255, 822, 4525, 248, 5370, 64, 1626, 18311, 2031, 730, 5143, 270, 1130, 248, 11030, 255, 344, 17445, 1239, 1877, 289, 2032, 6270, 5383, 724, 1040, 291, 271, 13183, 753, 314, 14604, 1943, 272, 17445, 558, 5752, 6768, 1387, 5055, 255, 2470, 276, 4069, 366, 1706, 77, 751, 3699, 270, 465, 1576, 272, 847, 25518, 289, 500, 851, 30895, 9740, 272, 19408, 17445, 536, 4046, 13235, 375, 2692, 4433, 1374, 272, 632, 15374, 3820, 285, 2071, 10214, 272, 17445, 289, 5358, 6677, 270, 12342, 255, 32515, 30630, 3966, 289, 19422, 5367, 939, 326, 3760, 335, 2032, 1233, 285, 4772, 335, 5358, 721, 89, 1607, 314, 1132, 359, 2032, 5644, 276, 253, 4411, 9865, 17445, 721, 89, 1607, 366, 27061, 72, 624, 5179, 1154, 398, 462, 10029, 455, 363, 253, 905, 12170, 1575, 7155, 2568, 465, 905, 2162, 255, 1098, 68, 1755, 313, 20780, 12419, 433, 253, 9073, 746, 255, 5482, 433, 23791, 312, 272, 253, 32339, 255, 822, 313, 3630, 448, 4179, 2330, 1726, 19, 1469, 23, 6547, 10434, 23791, 312, 255, 1098, 68, 1755, 16290, 253, 5728, 3820, 270, 5934, 255, 66, 1539, 657, 272, 17445, 313, 12419, 433, 253, 13826, 18338, 1341, 977, 289, 6716, 285, 2258, 8377, 270, 46, 12198, 652, 10549, 253, 1704, 1333, 1296, 10165, 289, 4592, 276, 253, 8850, 746, 1485, 1285, 7972, 1076, 1726, 23, 1469, 25, 14060, 4756, 25518, 289, 500, 851, 30895, 9740, 272, 29806, 17445, 313, 272, 4565, 11960, 255, 4714, 276, 905, 2162, 396, 672, 326, 15642, 8336, 3230, 276, 253, 4712, 272, 15458, 16214, 375, 276, 2808, 272, 22731, 4028, 1726, 21, 255, 22, 255, 24, 255, 26, 1469, 1456, 6547, 4547, 292, 370, 2017, 382, 8154, 21514, 253, 847, 25518, 9740, 272, 17445, 335, 12334, 4170, 289, 3291, 329, 289, 608, 395, 91, 68, 91, 288, 3961, 248, 1576, 272, 17445, 721, 89, 1607, 2033, 285, 29907, 366, 418, 24371, 9188, 314, 2631, 11079, 253, 1352, 1387, 28199, 375, 1350, 8775, 14, 7473, 430, 9740, 29806, 17445, 313, 20382, 285, 253, 6227, 255, 344, 30142, 255, 344, 16109, 289, 253, 2066, 1726, 19, 255, 21, 255, 23, 255, 24, 255, 26, 255, 1058, 255, 1456, 6547, 2058, 755, 7103, 255, 1098, 68, 1755, 313, 7972, 1076, 721, 284, 18265, 17445, 356, 1098, 2765, 555, 289, 281, 1688, 334, 279, 823, 822, 313, 1865, 285, 897, 714, 366, 298, 3058, 24411, 84, 272, 10138, 1716, 255, 10685, 3820, 16290, 1726, 23, 255, 24, 255, 26, 255, 1456, 14060, 2467, 247, 536, 1309, 253, 1576, 272, 248, 64, 3019, 6313, 10798, 5584, 2727, 891, 2511, 277, 1779, 379, 389, 19943, 19401, 5510, 356, 48, 5364, 406, 10685, 10505, 14, 15322, 5492, 6218, 366, 9740, 272, 29806, 17445, 289, 612, 6270, 5383, 721, 253, 2299, 4905, 289, 2336, 2088, 255, 1204, 1233, 1485, 3634, 6474, 314, 465, 9921, 64, 993, 17, 255, 66, 64, 643, 6313, 10798, 2727, 543, 5877, 285, 849, 11231, 10751, 268, 697, 338, 13490, 1906, 276, 253, 2299, 26187, 289, 253, 13593, 270, 2080, 935, 1485, 255, 249, 543, 4721, 2033, 285, 277, 4173, 1542, 16640, 265, 13098, 395, 30261, 272, 253, 1250, 26187, 366, 248, 2692, 30351, 335, 2406, 25785, 1447, 289, 2620, 1934, 1056, 8415, 356, 38, 5811, 3702, 4253, 9183, 406, 332, 2406, 5214, 3699, 314, 14907, 255, 344, 2727, 3955, 697, 253, 1480, 272, 277, 1779, 379, 389, 19943, 19401, 5510, 356, 48, 5364, 406, 1204, 1233, 1485, 255, 10685, 10505, 14, 15322, 5492, 6218, 270, 465, 253, 2808, 272, 480, 1807, 255, 344, 2727, 15642, 29806, 19408, 17445, 453, 248, 3966, 30708, 721, 253, 2355, 6938, 1591, 253, 2299, 13593, 289, 253, 4905, 289, 2336, 2088, 270, 5934, 255, 249, 267, 8633, 271, 64, 19, 28005, 289, 5394, 64, 1626, 477, 279, 2516, 721, 1055, 26187, 1305, 248, 1784, 272, 2032, 3385, 289, 2299, 713, 276, 4247, 270, 3522, 255, 260, 3822, 272, 253, 2355, 6938, 2511, 255, 822, 543, 4721, 8663, 980, 448, 277, 4759, 6806, 270, 5934, 255, 66, 3699, 366, 24563, 417, 6800, 543, 16240, 314, 1130, 248, 11030, 255, 1035, 573, 5383, 356, 19, 28005, 289, 64, 21, 477, 279, 2516, 406, 332, 2032, 17445, 1239, 1877, 724, 1040, 291, 271, 13183, 753, 255, 7713, 272, 64, 1551, 477, 279, 2516, 255, 822, 1168, 285, 326, 2299, 276, 4247, 2033, 285, 253, 23792, 3413, 270, 1579, 19790, 272, 755, 6270, 5383, 916, 476, 3318, 1798, 1331, 2355, 3820, 2982, 272, 253, 11025, 263, 5357, 270, 5934, 255, 66, 3699, 366, 248, 1706, 77, 751, 6920, 356, 19, 13, 20, 1503, 317, 1688, 2382, 392, 936, 1721, 14, 18, 1542, 5690, 251, 369, 255, 16222, 4123, 406, 3028, 16240, 335, 64, 19, 3385, 289, 253, 3699, 366, 24563, 417, 6800, 543, 6859, 314, 22486, 14645, 1376, 2123, 247, 289, 516, 23759, 356, 41, 7, 38, 406, 3798, 271, 6818, 272, 253, 18791, 4525, 259, 279, 6420, 430, 3820, 255, 31234, 336, 7167, 3318, 433, 6270, 5383, 255, 19453, 30674, 261, 289, 3603, 881, 5812, 555, 1400, 356, 1098, 68, 1755, 1239, 1877, 406, 7617, 25155, 433, 253, 6270, 27125, 4186, 314, 2058, 64, 23, 16840, 8738, 1025, 4310, 255, 344, 2727, 3955, 1319, 1906, 276, 253, 2299, 4905, 2088, 255, 344, 1704, 8282, 272, 17445, 289, 400, 11255, 1168, 8265, 4019, 356, 17, 13, 4932, 27819, 7560, 77, 448, 64, 21, 3385, 272, 1025, 4310, 4542, 4065, 64, 19, 795, 340, 2727, 1822, 461, 1713, 818, 8845, 6432, 285, 253, 1706, 3886, 6920, 289, 423, 543, 1865, 285, 7154, 3346, 1655, 818, 8306, 270, 16461, 289, 19422, 7932, 543, 6859, 314, 46, 12198, 721, 89, 1607, 7639, 1021, 902, 2426, 255, 8936, 345, 253, 831, 289, 253, 9980, 272, 7073, 285, 253, 11307, 270, 465, 9508, 312, 272, 19408, 375, 23079, 17445, 32339, 7095, 24533, 13826, 1807, 1894, 5358, 23791, 312, 24533, 16699, 375, 13885, 5613, 1726, 22, 255, 23, 255, 1058, 6547, 1132, 476, 838, 4565, 2162, 272, 7244, 13885, 4680, 255, 27886, 9073, 16263, 255, 1056, 15033, 17734, 776, 3631, 5935, 285, 23791, 312, 255, 32524, 12679, 289, 7244, 2970, 13913, 251, 3631, 1726, 19, 255, 22, 255, 23, 255, 1456, 6547, 12342, 255, 268, 3490, 272, 29806, 17445, 9889, 2992, 2426, 272, 721, 89, 1607, 1262, 396, 313, 461, 1020, 12419, 276, 253, 19037, 9031, 6492, 49, 336, 2448, 279, 2623, 319, 1096, 255, 13289, 272, 13826, 4421, 90, 9703, 255, 332, 2623, 319, 4576, 285, 253, 2376, 620, 838, 3955, 1387, 28199, 9740, 1726, 21, 255, 1204, 1469, 1626, 6547, 37, 1153, 90, 289, 538, 611, 251, 288, 332, 2489, 7185, 370, 2017, 382, 8154, 21514, 4626, 11645, 13132, 276, 253, 2376, 1387, 28199, 9740, 272, 19408, 17445, 375, 23791, 312, 272, 12093, 1076, 17445, 270, 3245, 325, 14, 7473, 430, 9740, 409, 1783, 21488, 646, 289, 3824, 26154, 19465, 5935, 285, 2623, 319, 4576, 6492, 465, 2147, 255, 1534, 359, 929, 3966, 4751, 272, 7244, 13543, 721, 89, 1607, 1387, 847, 25518, 289, 500, 851, 30895, 9740, 272, 29806, 17445, 270, 1173, 9675, 2406, 12367, 4186, 366, 4534, 272, 11883, 336, 7167, 375, 248, 316, 9479, 30674, 26939, 672, 1672, 2032, 4490, 375, 3385, 1387, 9740, 1726, 21, 255, 22, 255, 24, 255, 26, 255, 728, 255, 1499, 1469, 1626, 6547, 45, 369, 6432, 1540, 6270, 1352, 12324, 1046, 4186, 255, 19172, 13583, 255, 31234, 336, 7167, 289, 5637, 260, 555, 2964, 31554, 1726, 21, 255, 728, 255, 1456, 6547, 8269, 8296, 91, 2017, 382, 8154, 21514, 248, 1576, 272, 881, 90, 327, 13829, 12874, 30681, 64, 20, 1233, 1253, 3231, 913, 253, 1648, 366, 248, 3966, 30708, 289, 13672, 91, 2017, 382, 8154, 26673, 3406, 3029, 13265, 276, 248, 64, 21, 6313, 10798, 13084, 366, 5358, 721, 89, 1607, 272, 23079, 17445, 5935, 285, 253, 26698, 693, 272, 248, 2526, 18436, 2319, 12211, 314, 12342, 255, 16507, 847, 25518, 9740, 272, 19408, 17445, 396, 313, 2521, 285, 2071, 13543, 9628, 289, 285, 1299, 2406, 1980, 5123, 270, 3522, 255, 30596, 13235, 375, 2692, 4433, 1374, 272, 847, 25518, 13132, 620, 285, 326, 2598, 3675, 285, 3122, 798, 756, 2017, 382, 6681, 21, 255, 24, 255, 26, 1469, 1298, 255, 1499, 1469, 1626, 6547, 5934, 255, 30691, 272, 253, 3884, 8850, 746, 289, 13885, 2975, 939, 326, 3760, 270, 36, 3707, 751, 3699, 289, 22731, 14591, 939, 326, 3298, 799, 6907, 1726, 21, 255, 26, 1469, 1298, 255, 1499, 255, 1456, 14060, 27795, 378, 4807, 2017, 382, 8154, 21514, 341, 847, 25518, 15553, 272, 17445, 1147, 461, 4537, 253, 13543, 1608, 2273, 366, 17445, 23791, 312, 270, 1427, 26573, 26402, 2017, 382, 8154, 21514, 871, 9998, 5935, 285, 13885, 4680, 289, 13826, 4421, 90, 9703, 2568, 2164, 253, 612, 1648, 255, 37, 1153, 90, 289, 538, 611, 251, 288, 9621, 341, 253, 5358, 3813, 272, 19408, 17445, 721, 89, 1607, 1387, 28199, 9740, 4224, 285, 326, 20625, 255, 1229, 1730, 1608, 272, 3504, 1114, 1925, 16699, 375, 13826, 2596, 350, 314, 465, 253, 1309, 1576, 255, 1534, 476, 838, 929, 2426, 272, 17445, 721, 89, 1607, 1305, 248, 1784, 272, 6171, 64, 1204, 1233, 272, 4087, 270, 1452, 255, 32515, 30630, 3966, 289, 19422, 1025, 4310, 476, 285, 326, 3760, 1726, 21, 255, 1298, 255, 1626, 4048, 4714, 396, 313, 1724, 341, 917, 313, 929, 7966, 877, 17445, 1943, 276, 253, 1704, 289, 9923, 289, 253, 10554, 272, 2426, 276, 1576, 272, 5358, 17946, 1726, 24, 255, 1058, 255, 2510, 14060, 340, 7246, 272, 1706, 77, 751, 6800, 356, 70, 2263, 270, 16222, 4123, 255, 26461, 1688, 547, 1148, 356, 35, 3340, 823, 26461, 1688, 2382, 395, 25660, 7255, 3039, 356, 37, 4331, 34, 823, 19008, 26376, 599, 1373, 15192, 356, 35, 3340, 823, 69, 2411, 21252, 412, 6778, 406, 247, 253, 1778, 272, 17445, 721, 89, 1607, 313, 17221, 1726, 21, 1469, 23, 255, 25, 255, 1204, 255, 1456, 6547, 52, 740, 14255, 66, 2017, 382, 270, 3961, 253, 7246, 272, 613, 18370, 20481, 1859, 31161, 356, 1916, 36, 406, 475, 1706, 77, 751, 3699, 255, 3356, 4877, 270, 9330, 4220, 5143, 253, 7246, 272, 1706, 3886, 3699, 861, 917, 359, 4751, 272, 13543, 721, 89, 1607, 289, 1387, 28199, 9740, 1726, 20, 255, 22, 255, 24, 255, 26, 1469, 1298, 255, 1499, 255, 2510, 6547, 2164, 253, 612, 1648, 255, 37, 1153, 90, 289, 538, 611, 251, 288, 9621, 341, 253, 1114, 1925, 4470, 272, 1706, 3886, 3699, 313, 9140, 1730, 276, 1576, 272, 5358, 17445, 17946, 289, 3965, 253, 7246, 939, 326, 11496, 285, 7244, 721, 89, 1607, 255, 2003, 13523, 2017, 382, 8154, 21514, 929, 937, 345, 10382, 272, 7244, 5728, 4909, 314, 465, 253, 1309, 1576, 255, 3202, 77, 751, 3699, 366, 19886, 4123, 543, 5572, 2033, 285, 253, 16600, 433, 253, 2406, 9996, 335, 721, 89, 10546, 255, 4714, 917, 724, 929, 4751, 272, 746, 432, 17946, 270, 5934, 255, 4367, 388, 361, 430, 1438, 289, 9452, 6322, 359, 914, 6907, 861, 13885, 4680, 3969, 5632, 366, 277, 23389, 1726, 22, 255, 1551, 6547, 12342, 255, 58, 13331, 8005, 2017, 382, 8154, 9621, 271, 341, 13885, 16290, 2033, 285, 7244, 17445, 17946, 672, 461, 326, 8416, 314, 8196, 3392, 2344, 255, 12953, 1943, 272, 17445, 558, 5752, 6768, 1387, 5055, 5632, 366 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3475, 64, 3328, 25, 2791, 25, 17, 538, 18, 186, 13772, 272, 9538, 277, 15754, 7994, 21682, 11622, 10569, 359, 3173, 270, 465, 650, 3157, 272, 253, 4337, 255, 66, 1135, 272, 9538, 277, 15754, 7994, 21682, 11622, 10569, 2845, 30982, 253, 11622, 10569, 366, 248, 8658, 388, 23790, 12370, 6920, 942, 363, 248, 2620, 2403, 17313, 29952, 255, 2470, 2620, 19348, 29952, 270, 465, 4690, 13920, 272, 253, 4337, 255, 21966, 272, 9538, 277, 15754, 7994, 21682, 11622, 10569, 1540, 30982, 253, 10569, 366, 248, 8658, 388, 23790, 12370, 6920, 289, 248, 14660, 6333, 3400, 254, 270, 3440, 4412, 272, 253, 4337, 1540, 19767, 335, 9538, 248, 7994, 21682, 8850, 746, 270, 34, 7494, 5924, 2845, 248, 8658, 388, 23790, 12370, 6920, 255, 1458, 363, 248, 2620, 2403, 17313, 29952, 255, 332, 248, 14660, 6333, 3400, 254, 255, 1458, 363, 277, 9286, 24413, 2149, 2897, 8756, 3939, 473, 314, 18, 270, 34, 1135, 272, 9538, 248, 22759, 2727, 2507, 15178, 277, 4909, 285, 800, 11622, 10569, 255, 6648, 1135, 11843, 30982, 253, 15754, 11622, 10569, 1253, 253, 4909, 1175, 1363, 248, 1784, 929, 2898, 730, 697, 64, 1912, 2954, 1253, 2322, 4909, 366, 248, 5924, 11843, 277, 2379, 1844, 272, 448, 2082, 650, 400, 18, 4663, 728, 2620, 2403, 17313, 29952, 255, 12347, 253, 2379, 1844, 272, 448, 2082, 650, 400, 18, 4663, 728, 2620, 2403, 17313, 29952, 313, 2379, 285, 11947, 7404, 20889, 24684, 882, 2322, 15754, 11622, 10569, 255, 332, 13791, 253, 2379, 1844, 272, 448, 2082, 650, 400, 18, 4663, 728, 2620, 2403, 17313, 29952, 313, 448, 2082, 697, 64, 2055, 1186, 1639, 2353, 276, 253, 5924, 314, 19, 270, 340, 1135, 3675, 285, 186, 20, 270, 340, 1135, 3675, 285, 186, 21, 270, 340, 1135, 3675, 285, 186, 22, 270, 340, 1135, 3675, 285, 186, 23, 270, 340, 1135, 3675, 285, 186, 24, 270, 340, 1135, 3675, 285, 186, 25, 270, 340, 1135, 3675, 285, 186, 26, 270, 340, 1135, 3675, 285, 186, 728, 270, 34, 1135, 272, 9538, 248, 22759, 2727, 2507, 15178, 277, 4909, 285, 800, 11622, 10569, 255, 6648, 1135, 11843, 30982, 253, 15754, 11622, 10569, 1253, 253, 4909, 1175, 1363, 248, 1784, 929, 2898, 730, 697, 64, 1912, 2954, 1253, 2322, 4909, 366, 248, 5924, 11843, 277, 2379, 1844, 272, 2620, 19348, 29952, 255, 12347, 253, 2379, 1844, 272, 2620, 19348, 29952, 313, 2379, 285, 11947, 7404, 20889, 24684, 882, 2322, 15754, 11622, 10569, 289, 13791, 253, 2379, 1844, 272, 2620, 19348, 29952, 313, 448, 2082, 697, 64, 2055, 1186, 1639, 2353, 276, 253, 5924, 314, 1298, 270, 340, 1135, 3675, 285, 186, 1058, 270, 340, 1135, 3675, 285, 186, 1551, 270, 340, 1135, 3675, 285, 186, 1499, 270, 340, 1135, 3675, 285, 186, 340, 1309, 2769, 6909, 253, 4470, 272, 706, 2744, 270, 1777, 4163, 1256, 16333, 5586, 270, 2828, 270, 2157, 16, 10653, 13, 16486, 255, 71, 8300, 345, 14483, 270, 1058, 255, 1605, 25, 255, 822, 313, 1868, 1639, 11089, 433, 3906, 276, 800, 29913, 314, 600, 4337, 543, 1509, 366, 2933, 1360, 775, 7654, 966, 525, 3702, 37, 1626, 14, 11638, 14983, 14, 21, 1912, 19, 18853, 433, 253, 6454, 272, 253, 16902, 289, 7654, 966, 538, 2350, 26, 7214, 18968, 17, 18853, 433, 253, 3695, 3862, 8626, 270, 340, 10638, 620, 1953, 3352, 276, 253, 4337, 314, 340, 1309, 4337, 11801, 3369, 285, 2142, 335, 9538, 277, 15754, 11622, 10569, 270, 14693, 255, 344, 4337, 11801, 285, 2142, 335, 9538, 277, 15754, 11622, 10569, 341, 1540, 30982, 253, 11622, 10569, 366, 248, 8658, 388, 23790, 12370, 6920, 270, 2796, 23822, 19767, 335, 9538, 277, 15754, 11622, 10569, 359, 652, 3173, 314, 340, 20284, 1980, 272, 4909, 285, 253, 22759, 11622, 10569, 359, 461, 7785, 270, 25076, 6697, 4909, 5092, 717, 248, 16690, 11163, 272, 11622, 10569, 3820, 7936, 248, 2392, 276, 7404, 20889, 24684, 2273, 366, 248, 13373, 2406, 31539, 272, 7404, 10280, 356, 1064, 722, 20928, 41, 251, 78, 278, 255, 48, 270, 332, 17384, 255, 56, 1683, 1605, 22, 406, 340, 23001, 251, 356, 56, 1064, 1885, 255, 52, 270, 40, 1353, 308, 382, 1353, 38, 1090, 4408, 403, 270, 22216, 14, 22, 3019, 255, 15984, 2268, 5628, 255, 3449, 5243, 649, 19470, 622, 247, 255, 43, 270, 56, 270, 308, 382, 1683, 1605, 22, 406, 340, 23001, 251, 356, 56, 1064, 1885, 255, 52, 270, 40, 1353, 308, 382, 1353, 38, 1090, 4408, 403, 270, 25314, 14, 30732, 255, 15984, 2268, 5628, 255, 3449, 5243, 6547, 600, 2392, 272, 11273, 289, 5189, 3263, 2348, 253, 4909, 3256, 409, 2856, 248, 8416, 27957, 289, 2392, 272, 15659, 276, 4608, 2151, 253, 1115, 272, 253, 11622, 4909, 270, 5934, 255, 264, 313, 2132, 253, 905, 16518, 1980, 272, 13373, 797, 23000, 4909, 802, 60, 15240, 255, 56, 1683, 1605, 20, 406, 43, 270, 5203, 955, 270, 4600, 270, 1298, 27, 1551, 14, 2296, 2053, 999, 11622, 10569, 16078, 329, 1935, 66, 2736, 285, 253, 2392, 272, 9869, 9167, 313, 253, 937, 396, 620, 345, 3406, 3029, 270, 17185, 1076, 6697, 255, 5602, 11156, 255, 332, 277, 21959, 16, 3672, 1056, 279, 4909, 285, 3406, 3029, 672, 326, 4982, 285, 1783, 253, 4680, 272, 4541, 1624, 7396, 292, 285, 1295, 363, 248, 10165, 375, 24839, 285, 253, 637, 29659, 6322, 272, 11958, 1726, 41, 251, 78, 278, 255, 48, 270, 332, 17384, 255, 56, 1683, 1605, 22, 406, 340, 23001, 251, 356, 56, 1064, 1885, 255, 52, 270, 40, 1353, 308, 382, 1353, 38, 1090, 4408, 403, 270, 22216, 14, 22, 3019, 255, 15984, 2268, 5628, 255, 3449, 5243, 6547, 600, 276, 2199, 10273, 2581, 1213, 253, 6712, 10513, 272, 480, 3286, 272, 253, 7404, 6508, 289, 800, 2508, 285, 2708, 26486, 2712, 253, 10610, 270, 974, 1123, 255, 31627, 483, 21065, 9956, 19, 1041, 10467, 641, 1239, 27216, 1208, 272, 2360, 22067, 2516, 289, 2360, 10295, 14695, 7936, 248, 16415, 11163, 272, 253, 12658, 21146, 251, 20141, 622, 247, 255, 43, 270, 56, 270, 308, 382, 1683, 1605, 22, 406, 340, 23001, 251, 356, 56, 1064, 1885, 255, 52, 270, 40, 1353, 308, 382, 1353, 38, 1090, 4408, 403, 270, 25314, 14, 30732, 255, 15984, 2268, 5628, 255, 3449, 5243, 24020, 10424, 5884, 255, 56, 270, 45, 1353, 308, 382, 1683, 1605, 22, 406, 43, 270, 16193, 885, 85, 985, 64, 1912, 27, 26, 1623, 14, 26, 5322, 24020, 10424, 5884, 255, 56, 270, 45, 1353, 308, 382, 270, 43, 270, 16193, 9288, 16747, 64, 1456, 27, 24896, 14, 2644, 21, 6547, 1316, 1028, 1041, 7907, 1034, 1392, 800, 31399, 12319, 642, 272, 253, 1046, 255, 344, 21756, 11584, 22359, 5370, 12714, 285, 19782, 24684, 3400, 1726, 41, 251, 78, 278, 255, 48, 270, 332, 17384, 255, 56, 1683, 1605, 22, 406, 340, 23001, 251, 356, 56, 1064, 1885, 255, 52, 270, 40, 1353, 308, 382, 1353, 38, 1090, 4408, 403, 270, 22216, 14, 22, 3019, 255, 15984, 2268, 5628, 255, 3449, 5243, 649, 2860, 74, 255, 51, 270, 308, 382, 1353, 9, 1605, 24, 406, 52, 6037, 335, 15790, 9838, 21871, 84, 255, 10653, 27, 1456, 14060, 13772, 289, 19767, 335, 9538, 22759, 11622, 10569, 7749, 359, 2635, 270, 340, 1309, 4337, 9332, 755, 2129, 314, 673, 620, 838, 5702, 341, 30982, 277, 15754, 11622, 10569, 272, 248, 7994, 21682, 366, 248, 8658, 388, 23790, 12370, 6920, 20094, 8470, 2982, 942, 341, 1295, 313, 448, 2082, 11788, 21469, 270, 19460, 255, 623, 3157, 272, 253, 4337, 2421, 248, 1135, 272, 9538, 277, 15754, 22759, 255, 21012, 1391, 255, 1201, 1194, 10569, 341, 2845, 30982, 253, 10569, 366, 277, 2379, 1844, 272, 248, 8658, 388, 23790, 12370, 6920, 270, 465, 650, 831, 272, 253, 4337, 255, 344, 8658, 388, 23790, 12370, 6920, 313, 248, 2620, 2403, 17313, 29952, 255, 1458, 363, 2620, 19348, 29952, 270, 465, 650, 831, 272, 253, 4337, 255, 66, 1135, 272, 9538, 277, 15754, 22759, 11622, 10569, 652, 2845, 30982, 253, 11622, 10569, 366, 277, 2379, 1844, 272, 248, 14660, 6333, 3400, 254, 270, 340, 14660, 6333, 3400, 254, 409, 326, 255, 475, 1123, 255, 260, 9286, 24413, 2149, 2897, 8756, 3939, 473, 255, 1458, 363, 64, 21, 14, 2742, 2546, 3939, 473, 270, 340, 8658, 388, 23790, 12370, 6920, 313, 15476, 248, 2620, 2403, 17313, 29952, 255, 1458, 363, 2620, 19348, 29952, 314, 7610, 612, 4412, 272, 253, 4337, 1552, 19767, 335, 9538, 277, 15754, 22759, 8850, 746, 255, 1458, 363, 277, 15754, 22759, 11622, 10569, 255, 1554, 1540, 2379, 5558, 272, 248, 8658, 388, 23790, 12370, 6920, 289, 248, 14660, 6333, 3400, 254, 363, 3173, 1861, 270, 673, 620, 838, 13057, 315, 1246, 341, 942, 19767, 2914, 955, 9831, 1299, 248, 9329, 11622, 10569, 314, 673, 313, 3965, 277, 1444, 272, 253, 4337, 285, 1552, 2142, 289, 19767, 335, 9538, 248, 22759, 11622, 10569, 285, 448, 2082, 11788, 11947, 7404, 1295, 314, 1294, 289, 612, 3359, 289, 7157, 272, 253, 1309, 4337, 558, 326, 7022, 453, 253, 13823, 13131, 314, 974, 253, 5407, 272, 11585, 277, 2204, 272, 253, 4797, 272, 253, 4337, 255, 30647, 558, 1657, 326, 1509, 285, 7494, 13920, 289, 1661, 1952, 558, 326, 785, 285, 4539, 253, 1112, 270, 673, 558, 26522, 326, 6257, 341, 929, 16844, 272, 253, 7987, 272, 253, 4337, 313, 14355, 6035, 255, 1458, 21140, 289, 2258, 13328, 272, 253, 4337, 255, 332, 942, 2258, 3043, 272, 253, 4797, 272, 253, 4337, 363, 10629, 13131, 255, 7151, 24910, 483, 363, 916, 6576, 1672, 285, 650, 13047, 276, 253, 2247, 285, 696, 253, 4337, 11801, 314, 340, 1309, 4337, 2421, 2142, 289, 19767, 335, 9538, 277, 15754, 11622, 10569, 272, 248, 7994, 21682, 270, 340, 2142, 359, 3128, 285, 448, 2082, 11788, 11947, 7404, 1295, 276, 253, 7994, 21682, 270, 465, 650, 3157, 272, 253, 4337, 255, 21966, 359, 2843, 335, 9538, 277, 15754, 375, 9329, 7994, 21682, 11622, 10569, 341, 1540, 30982, 253, 11622, 10569, 366, 277, 2379, 1844, 272, 248, 8658, 388, 23790, 12370, 6920, 270, 340, 8658, 388, 23790, 12370, 6920, 313, 15476, 248, 2620, 2403, 17313, 29952, 255, 1458, 363, 2620, 19348, 29952, 270, 465, 4690, 13920, 255, 344, 1135, 672, 1540, 9538, 253, 8850, 746, 366, 248, 14660, 6333, 3400, 254, 255, 21012, 248, 29931, 8756, 3939, 473, 255, 1458, 363, 277, 9286, 24413, 2149, 2897, 8756, 3939, 473, 255, 8723, 1485, 255, 8578, 375, 1253, 30982, 253, 11622, 10569, 366, 253, 8658, 388, 23790, 12370, 6920, 270, 3440, 4412, 272, 253, 4337, 1552, 19767, 335, 9538, 277, 15754, 8850, 746, 272, 248, 7994, 21682, 270, 340, 7494, 19767, 1540, 248, 8658, 388, 23790, 12370, 6920, 289, 248, 14660, 6333, 3400, 254, 314, 1130, 6907, 1861, 255, 247, 248, 965, 3157, 272, 253, 4337, 255, 66, 1135, 272, 9538, 277, 15754, 11622, 10569, 272, 248, 7994, 21682, 313, 2843, 270, 340, 1135, 313, 15476, 3760, 276, 11942, 255, 4714, 396, 672, 652, 326, 785, 276, 12102, 255, 475, 1123, 255, 247, 253, 1190, 272, 11622, 10569, 3351, 375, 10464, 314, 340, 7494, 8658, 388, 23790, 12370, 6920, 313, 248, 2620, 2403, 17313, 29952, 270, 34, 2692, 3251, 272, 2620, 2403, 17313, 29952, 84, 672, 326, 785, 255, 1758, 1288, 255, 475, 1123, 255, 1529, 253, 11174, 17313, 1214, 313, 15186, 2416, 255, 19348, 255, 9634, 17313, 255, 772, 17313, 255, 23616, 17313, 255, 20642, 17313, 255, 249, 458, 17313, 255, 25391, 17313, 255, 6161, 17313, 255, 332, 402, 885, 77, 2416, 255, 1758, 1424, 1963, 970, 289, 6712, 313, 11673, 16072, 270, 3734, 16727, 255, 344, 2620, 2403, 17313, 29952, 558, 326, 1071, 31785, 270, 34, 596, 7494, 2620, 2403, 17313, 29952, 313, 2620, 19348, 29952, 270, 3206, 248, 2692, 1684, 272, 6468, 2353, 2620, 2403, 17313, 29952, 84, 672, 326, 785, 255, 11587, 2403, 17313, 29952, 84, 272, 6468, 2353, 272, 697, 64, 5878, 285, 697, 64, 13195, 17, 284, 6290, 722, 359, 7494, 270, 5432, 8658, 388, 23790, 12370, 6800, 672, 326, 22078, 433, 2142, 1724, 285, 253, 2247, 375, 672, 326, 14916, 19825, 314, 340, 8658, 388, 23790, 12370, 6920, 672, 652, 326, 248, 2620, 2403, 17313, 29952, 16, 20212, 29743, 363, 1724, 276, 253, 2247, 255, 12347, 253, 3315, 15476, 15539, 276, 30086, 1178, 268, 2072, 17464, 270, 974, 1123, 255, 344, 8658, 388, 23790, 12370, 6920, 255, 1458, 363, 2620, 19348, 29952, 255, 4993, 326, 16792, 483, 285, 3072, 265, 568, 285, 831, 452, 7447, 1934, 7127, 568, 255, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10998, 414, 35, 11287, 4659, 939, 326, 905, 945, 1636, 253, 965, 19667, 4876, 255, 264, 313, 2343, 276, 3101, 255, 262, 248, 1415, 4072, 272, 7073, 19667, 4876, 270, 1452, 255, 4477, 800, 720, 7031, 313, 748, 3920, 63, 19, 823, 581, 9889, 2128, 697, 396, 6667, 335, 253, 720, 396, 3337, 285, 1636, 396, 255, 6745, 16807, 285, 5684, 19667, 6959, 942, 363, 635, 6234, 441, 270, 1452, 255, 4922, 253, 6172, 272, 253, 9805, 19018, 4659, 255, 4159, 1953, 1936, 255, 264, 1804, 620, 248, 3059, 1741, 909, 600, 1854, 965, 15520, 1464, 6193, 272, 6172, 3303, 272, 9805, 19018, 4659, 255, 332, 1232, 15436, 755, 1464, 3303, 285, 9424, 253, 1135, 272, 15396, 2344, 556, 10264, 7157, 909, 7574, 279, 5415, 272, 19018, 4659, 474, 6164, 272, 11160, 248, 2814, 272, 720, 7811, 697, 253, 2946, 272, 19018, 4659, 255, 264, 3322, 13430, 253, 905, 1461, 448, 253, 1275, 272, 253, 4771, 433, 3923, 3363, 6168, 289, 2158, 5483, 270, 340, 7682, 22785, 409, 693, 248, 5676, 3395, 4240, 255, 344, 7914, 3395, 313, 785, 285, 1447, 253, 6727, 3395, 4240, 276, 253, 905, 1461, 272, 253, 15221, 2495, 255, 344, 6727, 3395, 313, 785, 335, 3923, 3363, 6168, 289, 6322, 7426, 909, 6187, 19667, 277, 4771, 453, 11178, 285, 5743, 255, 822, 313, 253, 7133, 276, 253, 1387, 6818, 270, 340, 11753, 5415, 272, 19018, 4659, 313, 363, 4639, 1942, 16834, 6365, 19018, 21057, 9, 6250, 10, 11223, 8188, 340, 7914, 7009, 2965, 1275, 285, 1447, 1224, 253, 3617, 1461, 272, 253, 6727, 7009, 7220, 725, 186, 475, 9, 1781, 1275, 580, 6250, 31831, 956, 18, 649, 531, 4386, 17, 649, 531, 928, 10, 11223, 8188, 340, 6727, 7009, 313, 785, 335, 3923, 3363, 15925, 289, 2158, 2127, 186, 475, 9, 1781, 2062, 580, 17, 649, 74, 4613, 531, 649, 74, 9415, 10, 11223, 347, 9, 6250, 4483, 28526, 6250, 4483, 1241, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 12, 18, 4650, 2713, 2713, 23777, 253, 2902, 30451, 8840, 547, 15072, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 5785, 26453, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 9, 4650, 1492, 547, 6471, 414, 1492, 547, 6471, 414, 1492, 547, 5785, 12437, 16834, 6365, 27603, 18163, 255, 74, 255, 75, 10, 11223, 2855, 1726, 2747, 4483, 11909, 2747, 4483, 12, 18, 19591, 4108, 2747, 4483, 12, 18, 11909, 2747, 4483, 19591, 649, 8188, 2350, 23, 474, 21410, 19202, 580, 2747, 4483, 27203, 2747, 4483, 5452, 2747, 13546, 27203, 2747, 13546, 5452, 12939, 1765, 7454, 23777, 253, 2902, 30451, 19276, 377, 64, 18, 414, 13449, 286, 253, 1576, 1224, 253, 2753, 4771, 313, 2865, 276, 1460, 1305, 19667, 474, 859, 253, 4771, 313, 2865, 12094, 375, 543, 12094, 1305, 19667, 255, 1534, 313, 929, 777, 285, 3937, 253, 1387, 6168, 289, 253, 4771, 409, 326, 9503, 3233, 270, 1507, 253, 11753, 5415, 272, 19018, 4659, 1804, 6966, 285, 6345, 973, 3147, 650, 433, 650, 289, 6621, 8175, 270, 3206, 917, 359, 914, 15925, 289, 929, 2158, 2127, 448, 480, 1120, 255, 3470, 15925, 359, 1804, 14419, 909, 340, 968, 341, 277, 4771, 620, 838, 12094, 313, 341, 929, 3147, 27603, 620, 6953, 276, 277, 6727, 7009, 255, 1554, 313, 255, 7290, 3147, 453, 253, 4423, 285, 253, 1275, 313, 4059, 730, 253, 3147, 1253, 396, 909, 3720, 253, 5915, 1861, 255, 1129, 409, 2022, 345, 253, 11753, 5415, 433, 4712, 248, 4043, 285, 2399, 2572, 277, 3147, 27603, 6953, 1305, 277, 6727, 7009, 255, 332, 8047, 2572, 277, 3147, 27603, 6953, 448, 253, 1275, 272, 973, 6727, 7009, 270, 859, 929, 3147, 6322, 3969, 255, 344, 4771, 313, 276, 1460, 289, 253, 1705, 7767, 270, 17369, 255, 2485, 5113, 289, 1423, 253, 2381, 4240, 1942, 16834, 6365, 19018, 21057, 10333, 18, 9, 6250, 10, 92, 474, 475, 9, 1781, 1275, 580, 6250, 31831, 956, 18, 649, 531, 4386, 17, 649, 531, 928, 10, 92, 474, 1781, 313, 52, 9355, 580, 15969, 649, 8188, 29, 22261, 20654, 253, 18297, 4043, 313, 52, 9355, 285, 277, 3634, 1461, 272, 2987, 186, 475, 9, 1781, 2062, 580, 17, 649, 74, 4613, 531, 649, 74, 9415, 10, 11223, 347, 9, 6250, 4483, 28526, 6250, 4483, 1241, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 12, 18, 10, 12437, 262, 52, 9355, 580, 21154, 28, 288, 8188, 29, 22261, 509, 344, 4771, 313, 1804, 642, 272, 1460, 276, 480, 5801, 270, 6644, 313, 52, 9355, 285, 7080, 2713, 8188, 6330, 861, 253, 6727, 7009, 313, 276, 1460, 255, 347, 396, 313, 276, 1460, 255, 14527, 253, 1705, 3233, 649, 17369, 1423, 253, 2381, 4240, 186, 347, 9, 262, 52, 9355, 10, 11223, 2194, 64, 28, 288, 8188, 340, 2870, 22261, 6250, 313, 276, 1460, 255, 14527, 253, 1295, 2713, 94, 23777, 253, 2902, 30451, 20410, 2946, 64, 19, 414, 6250, 2406, 1460, 474, 859, 253, 4771, 313, 15345, 12094, 255, 475, 1123, 255, 347, 253, 4771, 313, 2865, 12094, 1253, 5154, 448, 248, 1953, 3865, 255, 1534, 313, 929, 777, 285, 6621, 341, 657, 272, 253, 4771, 909, 2058, 480, 720, 255, 344, 6172, 1135, 313, 414, 247, 253, 23488, 265, 901, 255, 344, 2495, 272, 253, 2121, 6322, 2818, 409, 326, 6954, 255, 332, 253, 2381, 6727, 7009, 558, 1925, 3414, 448, 480, 2495, 255, 822, 409, 5742, 27366, 6168, 4544, 909, 3193, 248, 4043, 285, 2871, 253, 2121, 1741, 1224, 253, 27603, 6953, 289, 1031, 396, 285, 253, 1275, 272, 253, 2381, 6727, 7009, 1942, 16834, 6365, 19018, 21057, 10333, 19, 9, 6250, 10, 11223, 1781, 1275, 49, 395, 580, 6250, 31831, 956, 18, 649, 8188, 24149, 253, 2495, 1224, 253, 27603, 4279, 2121, 6953, 276, 480, 4240, 474, 2003, 9, 531, 49, 395, 4386, 17, 28256, 1781, 480, 15080, 11105, 49, 395, 580, 531, 49, 395, 649, 8188, 29, 22261, 20654, 253, 1275, 272, 253, 7009, 474, 475, 9, 1781, 2062, 580, 17, 649, 74, 4613, 1662, 15080, 11105, 49, 395, 649, 74, 9415, 10, 11223, 347, 9, 6250, 4483, 28526, 6250, 4483, 12, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 12, 18, 10, 12437, 531, 49, 395, 580, 74, 649, 8188, 29, 22261, 20654, 356, 1211, 25659, 406, 344, 3865, 1224, 253, 27603, 4279, 2121, 6953, 2713, 8188, 859, 917, 313, 929, 27603, 276, 480, 5801, 255, 344, 4771, 313, 276, 1460, 186, 347, 9, 531, 49, 395, 1806, 22261, 1662, 15080, 11105, 49, 395, 10, 11223, 2194, 649, 2713, 94, 23777, 253, 2902, 30451, 19276, 377, 2946, 64, 20, 414, 2194, 253, 4092, 289, 5172, 2173, 9105, 474, 465, 253, 9805, 5415, 255, 344, 5743, 1461, 313, 12526, 285, 253, 1275, 272, 253, 1557, 4771, 973, 720, 255, 332, 253, 11178, 1461, 313, 461, 15741, 345, 270, 465, 1057, 255, 247, 253, 1112, 7914, 7009, 255, 1129, 409, 3997, 253, 4092, 1461, 285, 253, 4706, 272, 253, 4771, 289, 253, 5172, 1461, 285, 253, 4502, 255, 292, 1114, 363, 253, 6727, 7009, 3195, 5077, 253, 4092, 1461, 453, 4502, 285, 1329, 255, 332, 652, 3195, 5077, 253, 5172, 1461, 453, 1329, 285, 4502, 270, 600, 2946, 313, 1747, 20912, 22591, 19018, 4659, 909, 859, 360, 1900, 448, 253, 2902, 255, 264, 554, 3077, 285, 1290, 1942, 16834, 8188, 5397, 16865, 19018, 4659, 255, 1297, 914, 2371, 253, 5743, 285, 253, 2121, 255, 772, 652, 2371, 253, 11178, 285, 253, 965, 186, 6365, 19018, 21057, 10333, 20, 9, 6250, 10, 11223, 8188, 29, 22261, 20654, 253, 1423, 289, 1275, 7426, 272, 973, 4240, 186, 1781, 1423, 580, 17, 1270, 531, 580, 6250, 31831, 956, 18, 12437, 2003, 9, 5859, 4613, 531, 10, 11223, 475, 9, 1781, 2062, 580, 5859, 649, 74, 4613, 531, 649, 74, 9415, 10, 92, 22491, 2996, 8627, 253, 4092, 2495, 453, 1423, 285, 1275, 186, 347, 9, 6250, 4483, 28526, 6250, 4483, 12, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 12, 18, 7886, 7454, 7454, 531, 13748, 649, 8188, 29, 22261, 3106, 253, 1557, 4092, 966, 313, 2865, 276, 253, 1275, 2495, 255, 344, 1275, 2495, 313, 7848, 4728, 474, 475, 9, 1781, 2062, 580, 531, 649, 74, 4386, 5859, 649, 74, 928, 10, 92, 22491, 7289, 453, 1275, 285, 1423, 289, 7075, 253, 5172, 2495, 186, 347, 9, 6250, 4483, 31704, 6250, 4483, 355, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 355, 18, 7886, 7454, 7454, 5859, 3100, 12, 649, 8188, 29, 22261, 344, 1423, 2495, 313, 7848, 22396, 1262, 253, 11178, 966, 313, 2865, 276, 253, 1423, 2495, 2713, 23777, 253, 2902, 30451, 1452, 255, 1662, 1135, 620, 253, 21909, 272, 4467, 22396, 289, 4728, 84, 650, 2495, 448, 248, 720, 255, 11739, 1275, 4578, 332, 1423, 9415, 270, 1065, 409, 1197, 6786, 253, 871, 2162, 3173, 276, 253, 2643, 3127, 255, 549, 360, 409, 10189, 755, 1464, 2142, 285, 486, 5115, 909, 34, 4069, 272, 1464, 3303, 474, 340, 1861, 1464, 3303, 11919, 4701, 366, 253, 1576, 341, 253, 2753, 4771, 313, 2865, 12094, 255, 344, 4771, 313, 15345, 12094, 255, 332, 253, 4092, 289, 5172, 2173, 359, 4688, 276, 3163, 7426, 270, 22012, 1528, 409, 326, 5988, 433, 13451, 253, 7157, 272, 253, 1861, 1464, 909, 4285, 433, 1757, 255, 1781, 554, 4482, 697, 253, 4069, 272, 755, 871, 3303, 474, 34, 4069, 272, 3303, 64, 18, 289, 64, 19, 474, 30001, 3303, 64, 18, 289, 64, 19, 255, 581, 4701, 366, 2406, 20364, 272, 15771, 289, 2985, 20364, 1305, 19667, 1942, 16834, 6365, 19018, 21057, 10333, 18, 332, 19, 9, 6250, 10, 11223, 1781, 1275, 49, 395, 580, 6250, 31831, 956, 18, 649, 8188, 24149, 253, 2495, 448, 253, 1275, 272, 253, 4240, 255, 1554, 313, 255, 344, 2495, 2121, 2158, 11113, 276, 253, 2643, 5801, 474, 2003, 9, 531, 49, 395, 4386, 17, 28256, 1781, 313, 52, 9355, 580, 15969, 649, 8188, 52, 1343, 253, 4771, 709, 3635, 12094, 11784, 4043, 186, 1781, 480, 15080, 11105, 49, 395, 580, 531, 49, 395, 649, 8188, 24149, 253, 1275, 272, 253, 4240, 474, 475, 9, 1781, 2062, 580, 17, 649, 74, 4613, 1662, 15080, 11105, 49, 395, 649, 74, 9415, 10, 11223, 347, 9, 6250, 4483, 28526, 6250, 4483, 12, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 12, 18, 10, 12437, 531, 49, 395, 580, 74, 649, 8188, 600, 2495, 620, 838, 2158, 11113, 255, 24003, 480, 2495, 186, 262, 52, 9355, 580, 21154, 28, 288, 8188, 6644, 253, 24613, 9863, 285, 637, 21002, 2713, 347, 9, 262, 52, 9355, 10, 92, 22491, 6330, 2572, 253, 4771, 313, 4499, 12094, 186, 898, 14969, 15, 5461, 9, 531, 49, 395, 7886, 2194, 649, 2713, 94, 23777, 253, 2902, 30451, 34, 4069, 272, 3303, 64, 19, 289, 64, 20, 474, 12340, 473, 3303, 64, 19, 289, 64, 20, 285, 4701, 366, 1213, 7891, 66, 289, 5458, 66, 276, 1213, 8588, 255, 332, 285, 4701, 366, 15345, 12094, 15771, 474, 16834, 8188, 465, 4069, 366, 253, 2946, 272, 253, 1508, 289, 3704, 9768, 255, 24003, 253, 2121, 6322, 2495, 276, 973, 3559, 272, 871, 16865, 19667, 255, 332, 8434, 253, 1275, 2495, 272, 253, 2381, 5801, 272, 253, 4240, 186, 6365, 19018, 21057, 10333, 19, 332, 20, 9, 6250, 10, 11223, 1781, 1423, 580, 17, 255, 5859, 49, 395, 580, 5859, 1270, 531, 580, 6250, 31831, 956, 18, 255, 531, 49, 395, 580, 531, 12437, 2003, 9, 5859, 4613, 531, 10, 92, 474, 8188, 7289, 1329, 289, 8691, 186, 475, 9, 1781, 2062, 580, 5859, 649, 74, 4613, 531, 649, 74, 9415, 10, 11223, 347, 9, 6250, 4483, 28526, 6250, 4483, 12, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 12, 18, 7886, 531, 49, 395, 580, 74, 649, 8188, 24149, 253, 27603, 2495, 186, 7454, 7454, 531, 580, 531, 49, 395, 28, 288, 8188, 52, 1343, 253, 1275, 272, 253, 2381, 20477, 474, 8188, 7289, 453, 253, 1329, 285, 253, 4502, 186, 475, 9, 1781, 2062, 580, 531, 649, 74, 4386, 5859, 649, 74, 928, 10, 11223, 347, 9, 6250, 4483, 31704, 6250, 4483, 355, 18, 20970, 11223, 1492, 547, 9, 6250, 255, 74, 255, 74, 355, 18, 7886, 5859, 49, 395, 580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 53, 701, 985, 272, 8904, 2579, 20361, 762, 186, 42, 5874, 341, 255, 247, 253, 2121, 5170, 1233, 255, 1184, 24147, 289, 2299, 12897, 476, 838, 14898, 596, 289, 596, 9653, 276, 253, 3286, 270, 16560, 27441, 476, 1509, 277, 5119, 285, 22065, 9653, 433, 8060, 725, 902, 981, 3380, 270, 959, 409, 9806, 10809, 871, 1539, 833, 431, 84, 414, 1801, 255, 263, 16192, 255, 72, 28825, 341, 6464, 285, 14383, 7656, 459, 319, 25285, 1096, 255, 332, 9653, 341, 5665, 3068, 363, 797, 251, 253, 2299, 802, 263, 797, 21315, 14, 2709, 802, 332, 359, 3851, 335, 11967, 285, 459, 319, 25285, 1096, 314, 40, 28825, 276, 253, 965, 1214, 255, 822, 1599, 285, 14383, 7656, 459, 319, 25285, 1096, 255, 531, 70, 4114, 285, 2584, 248, 3057, 272, 19582, 797, 822, 1039, 396, 1575, 285, 1409, 253, 875, 13562, 1208, 289, 4154, 900, 1208, 272, 556, 15731, 248, 1757, 2258, 255, 1639, 2958, 253, 18686, 285, 3004, 4088, 289, 12663, 285, 894, 597, 1794, 3117, 6680, 1264, 5775, 8142, 2947, 23305, 359, 253, 9653, 341, 2584, 904, 542, 4840, 864, 5590, 265, 7606, 620, 5877, 285, 363, 797, 798, 319, 25285, 19582, 8142, 3240, 1547, 9653, 272, 3366, 6055, 646, 255, 26955, 7329, 255, 332, 905, 272, 9437, 4207, 2904, 721, 480, 965, 1214, 314, 40, 28825, 21043, 756, 26077, 3373, 285, 5329, 319, 25285, 1096, 186, 340, 2299, 375, 4223, 14, 2709, 9653, 276, 253, 1508, 1214, 359, 18649, 1262, 640, 1309, 9394, 341, 3703, 277, 4690, 285, 459, 319, 25285, 1096, 270, 4206, 1960, 640, 359, 1199, 902, 453, 650, 1750, 255, 3470, 9653, 476, 448, 2082, 2172, 9242, 1437, 607, 276, 556, 9394, 414, 344, 8652, 335, 1701, 12330, 255, 15859, 7149, 7474, 1208, 255, 13562, 24278, 255, 332, 8594, 6705, 270, 340, 9653, 476, 255, 247, 2199, 255, 1808, 258, 10313, 721, 871, 2424, 314, 340, 965, 26900, 3476, 9653, 341, 6464, 285, 4200, 14433, 1096, 366, 13373, 1701, 5513, 255, 475, 1123, 255, 344, 9653, 272, 28411, 255, 27411, 255, 332, 706, 2278, 86, 357, 270, 1245, 359, 1288, 341, 876, 9163, 23240, 66, 14912, 27183, 255, 20068, 28175, 22361, 272, 12053, 255, 3489, 5877, 285, 363, 657, 272, 253, 797, 11143, 2299, 2930, 34, 851, 416, 13629, 32617, 1841, 3334, 713, 363, 9653, 797, 1229, 1833, 14, 798, 319, 25285, 255, 13289, 265, 386, 5513, 255, 822, 255, 6202, 12115, 366, 459, 319, 25285, 11118, 386, 5513, 255, 2529, 248, 5857, 9349, 1213, 345, 253, 1701, 10993, 289, 345, 2413, 5513, 696, 5768, 11873, 8648, 15834, 2930, 4001, 285, 5590, 265, 7606, 255, 3470, 9653, 2584, 19582, 341, 797, 7855, 285, 20511, 253, 3239, 255, 15859, 255, 332, 1701, 14994, 454, 272, 2847, 554, 15834, 1655, 12115, 366, 253, 746, 8142, 3830, 186, 40, 28825, 13303, 1102, 366, 5329, 319, 25285, 452, 22408, 186, 340, 1508, 1214, 3476, 9653, 341, 1599, 285, 3084, 366, 459, 319, 25285, 5513, 255, 7778, 783, 27441, 285, 22065, 713, 363, 4597, 31244, 17601, 386, 270, 1245, 1540, 253, 9653, 272, 31226, 25214, 255, 19793, 86, 16282, 255, 27927, 282, 489, 11593, 255, 332, 987, 2416, 91, 3405, 66, 255, 822, 7740, 3957, 272, 1701, 289, 3239, 4232, 1096, 2215, 253, 2886, 2900, 289, 696, 23240, 66, 14912, 27183, 1841, 3334, 363, 657, 272, 253, 797, 16693, 2299, 2930, 34, 13629, 32617, 6462, 713, 363, 797, 72, 28825, 1625, 345, 1701, 289, 3786, 4459, 14431, 341, 476, 277, 2951, 8428, 285, 1440, 255, 505, 276, 5589, 272, 248, 3084, 366, 459, 319, 25285, 5513, 255, 332, 476, 248, 892, 2204, 272, 253, 5495, 255, 999, 8594, 6705, 255, 332, 272, 6705, 272, 253, 12144, 8142, 3982, 7884, 1832, 285, 5590, 265, 7606, 255, 3470, 9653, 2584, 797, 250, 11577, 5174, 8712, 3559, 289, 9188, 359, 4597, 31513, 1337, 386, 2106, 332, 359, 255, 7256, 255, 250, 11577, 341, 1560, 1357, 285, 6300, 15, 4355, 12717, 14822, 5308, 255, 260, 2579, 8684, 26297, 335, 1055, 8009, 6880, 255, 3495, 12181, 755, 7467, 9653, 657, 272, 248, 797, 81, 2368, 14295, 802, 2709, 13, 2055, 289, 32155, 713, 366, 2424, 423, 7360, 797, 344, 8009, 2299, 2106, 822, 2845, 253, 579, 2540, 36, 15, 5609, 186, 1093, 20076, 802, 40, 28825, 579, 5139, 7747, 10325, 13523, 14341, 186, 7021, 475, 380, 255, 864, 3427, 285, 341, 1214, 272, 9653, 341, 21377, 21008, 433, 15257, 4597, 14, 798, 319, 25285, 275, 25502, 255, 581, 6033, 4036, 272, 253, 797, 2709, 2106, 247, 28080, 9020, 270, 959, 5161, 285, 253, 6453, 253, 3941, 272, 1247, 4371, 713, 3675, 285, 253, 3057, 272, 6126, 696, 536, 1567, 2151, 314, 1452, 255, 8784, 12663, 255, 42, 6033, 11737, 904, 532, 1676, 433, 253, 2299, 270, 465, 253, 64, 3882, 17, 84, 255, 1534, 543, 248, 11479, 285, 5665, 253, 2299, 461, 705, 1331, 433, 253, 3940, 396, 543, 22965, 255, 292, 433, 253, 1633, 396, 785, 285, 4105, 341, 3940, 270, 340, 15574, 3940, 543, 30054, 255, 344, 1633, 724, 253, 19506, 8652, 375, 253, 11558, 8652, 255, 332, 253, 2299, 543, 7953, 271, 15152, 375, 8236, 386, 255, 6442, 285, 696, 1135, 396, 785, 270, 465, 253, 64, 1605, 17, 84, 255, 344, 1925, 797, 2723, 2299, 802, 3028, 4034, 785, 285, 3427, 285, 253, 2299, 341, 1168, 19448, 253, 19506, 8652, 289, 13439, 253, 11558, 8652, 270, 2058, 612, 1915, 255, 1662, 1925, 543, 3298, 285, 253, 797, 7101, 2299, 2106, 822, 313, 1509, 725, 272, 248, 1539, 966, 272, 6519, 5740, 255, 1458, 363, 13018, 12144, 255, 16368, 255, 17803, 1158, 255, 332, 1391, 3352, 25083, 15, 5322, 186, 42, 916, 844, 285, 2122, 248, 338, 715, 368, 4610, 341, 313, 6090, 453, 253, 3940, 28395, 270, 859, 536, 7740, 942, 248, 4610, 255, 581, 476, 285, 2781, 861, 253, 6022, 313, 285, 2286, 15834, 248, 3336, 77, 2999, 433, 2576, 396, 596, 1391, 70, 375, 861, 253, 3940, 313, 285, 1817, 248, 3457, 285, 5149, 15834, 270, 1611, 532, 2286, 253, 5729, 797, 2709, 802, 864, 253, 4804, 341, 8652, 285, 1817, 248, 3457, 341, 313, 277, 4690, 285, 253, 8313, 4694, 18346, 746, 289, 800, 6477, 272, 8125, 255, 66, 3457, 272, 5302, 9130, 433, 248, 1391, 386, 355, 332, 31470, 2566, 6477, 5174, 3545, 313, 285, 13819, 1391, 2129, 649, 66, 3457, 2072, 453, 1400, 9681, 289, 453, 253, 9937, 9681, 341, 15834, 1596, 15301, 649, 332, 248, 3457, 341, 1147, 461, 3461, 3109, 261, 453, 1861, 1175, 3191, 14565, 453, 2151, 255, 1229, 253, 945, 363, 28889, 1158, 270, 465, 612, 1909, 255, 66, 26247, 3457, 15, 5744, 186, 1294, 4804, 255, 7256, 255, 4691, 461, 326, 8046, 13870, 433, 248, 8652, 335, 12330, 341, 17667, 4068, 2778, 276, 248, 2513, 345, 9681, 1694, 4714, 480, 672, 326, 650, 272, 556, 905, 14885, 3041, 32501, 652, 433, 556, 18195, 272, 277, 28650, 5565, 18292, 1222, 1625, 345, 18499, 289, 253, 6477, 272, 8125, 414, 344, 18346, 1222, 270, 42, 939, 863, 255, 16944, 9534, 255, 13502, 596, 270, 42, 4499, 4407, 366, 253, 706, 2278, 86, 29716, 11724, 4439, 252, 83, 481, 938, 319, 324, 279, 91, 891, 17327, 5502, 2080, 313, 461, 2299, 1215, 1262, 650, 3992, 650, 313, 255, 772, 650, 313, 2299, 1262, 272, 904, 650, 1147, 285, 3235, 755, 2555, 17717, 289, 27954, 270, 2318, 313, 811, 650, 3218, 285, 326, 2299, 8142, 4293, 186, 1507, 2096, 313, 396, 705, 2555, 285, 693, 253, 17951, 272, 2439, 285, 7423, 891, 313, 345, 253, 2299, 911, 3651, 1694, 292, 532, 6620, 276, 64, 1605, 26, 276, 1547, 23936, 345, 253, 2905, 7690, 272, 253, 11744, 5905, 8978, 16474, 414, 13631, 253, 12256, 5755, 452, 5755, 13685, 1250, 620, 637, 2051, 16268, 336, 3407, 11943, 483, 253, 2299, 554, 1952, 255, 822, 313, 5109, 5708, 276, 253, 1119, 396, 831, 11419, 800, 3602, 15, 2950, 186, 17439, 844, 797, 250, 11577, 18288, 29135, 1889, 18288, 898, 19083, 806, 9681, 2106, 332, 797, 4454, 602, 802, 505, 2847, 657, 272, 253, 1250, 554, 4597, 25723, 289, 1785, 5492, 1952, 270, 1130, 31175, 91, 610, 1059, 350, 353, 1098, 85, 3992, 2859, 340, 1774, 1909, 272, 253, 16027, 3786, 6476, 272, 253, 64, 5142, 17, 84, 289, 64, 3882, 17, 84, 476, 838, 12716, 721, 253, 1774, 1909, 272, 1288, 891, 436, 4216, 13578, 12169, 713, 8142, 5276, 2465, 4623, 345, 285, 2222, 2859, 340, 4273, 255, 2446, 632, 10737, 359, 18513, 255, 22143, 270, 17290, 313, 2215, 23631, 649, 484, 1599, 19582, 289, 248, 6712, 1440, 270, 17290, 313, 276, 5589, 272, 248, 6773, 22205, 4420, 335, 253, 4256, 8142, 4872, 186, 7375, 28083, 253, 30662, 272, 253, 8157, 272, 459, 319, 25285, 1096, 1694, 1662, 11943, 312, 272, 253, 2299, 554, 1952, 620, 7651, 253, 1120, 1224, 1350, 4088, 1158, 476, 8972, 253, 2299, 554, 15196, 272, 459, 319, 25285, 1096, 270, 340, 2202, 272, 253, 2569, 620, 16068, 285, 326, 17814, 649, 1534, 313, 4482, 272, 253, 777, 335, 253, 9943, 1323, 272, 253, 1402, 314, 959, 476, 285, 14256, 341, 255, 292, 4439, 252, 83, 481, 938, 319, 324, 279, 91, 3992, 2859, 465, 253, 10993, 272, 13202, 255, 26097, 386, 3671, 359, 461, 3605, 14295, 255, 1449, 1440, 556, 8351, 255, 1449, 9102, 986, 904, 640, 785, 285, 12527, 799, 253, 2962, 1980, 272, 480, 2524, 326, 9141, 289, 1109, 5096, 3418, 1800, 2930, 1283, 5731, 806, 530, 70, 458, 84, 2859, 1449, 1223, 31470, 366, 253, 565, 16388, 806, 25324, 5032, 292, 21364, 938, 330, 77, 12154, 1747, 396, 795, 1245, 9685, 276, 253, 4597, 23763, 2312, 1208, 1888, 9975, 255, 3049, 253, 30249, 797, 798, 319, 25285, 802, 864, 23727, 396, 1694, 798, 319, 25285, 25324, 1694, 3106, 272, 253, 30147, 2353, 272, 14623, 4088, 363, 396, 6966, 285, 1783, 6998, 31563, 270, 3431, 2859, 798, 319, 25285, 1096, 802, 262, 1657, 3322, 29771, 255, 332, 253, 7467, 313, 833, 4511, 345, 253, 3455, 14350, 2140, 272, 797, 16693, 31240, 2106, 6317, 12502, 253, 24692, 272, 4088, 270, 340, 20088, 5023, 285, 326, 8286, 341, 459, 319, 25285, 1096, 1349, 326, 9302, 433, 5116, 15989, 4051, 29771, 366, 596, 11873, 6259, 270, 28751, 1096, 4133, 7639, 2778, 363, 248, 2505, 272, 797, 798, 80, 14, 13289, 23645, 2106, 332, 313, 2215, 1213, 4689, 262, 316, 91, 1834, 25260, 12647, 289, 26847, 1096, 15, 4018, 186, 7805, 7014, 987, 1049, 1871, 255, 772, 12155, 25157, 285, 16425, 186, 5835, 5675, 285, 253, 2168, 272, 849, 9653, 255, 264, 4224, 285, 585, 1156, 285, 16132, 6422, 253, 3844, 3989, 799, 640, 724, 18649, 25670, 313, 285, 2222, 255, 344, 5141, 640, 476, 285, 4701, 366, 270, 465, 480, 1119, 255, 581, 409, 5904, 556, 2274, 363, 1444, 1794, 363, 1575, 270, 1316, 11771, 253, 4200, 272, 4804, 276, 253, 847, 8780, 290, 255, 42, 5874, 253, 29081, 8535, 554, 4924, 285, 8051, 6376, 1447, 806, 253, 3286, 433, 4812, 285, 8786, 253, 901, 341, 313, 3353, 1741, 917, 270, 42, 939, 844, 285, 1120, 642, 871, 612, 2711, 341, 359, 1156, 335, 248, 1811, 2204, 272, 253, 2808, 276, 696, 755, 9653, 476, 285, 8075, 314, 673, 313, 5708, 341, 253, 892, 11237, 272, 2933, 476, 1168, 1319, 4179, 285, 30337, 276, 3520, 6586, 255, 9516, 276, 253, 5220, 1784, 270, 7691, 370, 1376, 980, 255, 344, 1057, 341, 253, 2530, 16426, 285, 11962, 620, 2650, 12281, 3407, 276, 3520, 6586, 289, 31892, 14020, 620, 1940, 596, 289, 596, 2261, 285, 7166, 1042, 356, 822, 255, 7256, 255, 19877, 396, 596, 1575, 335, 2299, 11350, 285, 326, 18649, 823, 3489, 461, 4498, 285, 277, 7306, 272, 253, 13949, 746, 15, 4932, 1547, 1619, 313, 341, 905, 1156, 4658, 359, 461, 1509, 433, 1381, 4070, 14695, 375, 18649, 1692, 8028, 255, 772, 433, 5383, 640, 2524, 1447, 414, 9204, 4261, 4051, 6185, 356, 344, 22752, 39, 289, 3970, 11117, 823, 2671, 32002, 3884, 10950, 255, 12575, 875, 13562, 19854, 255, 332, 3638, 4029, 5383, 270, 1696, 1232, 917, 313, 253, 2202, 8365, 433, 253, 3604, 255, 822, 359, 14459, 276, 253, 4465, 272, 1539, 3239, 2424, 15, 1489, 186, 42, 11567, 360, 272, 904, 6733, 353, 1072, 1558, 5766, 620, 2322, 697, 253, 2202, 755, 3604, 1585, 414, 1449, 359, 8386, 285, 797, 1885, 21420, 10485, 2106, 822, 1039, 396, 1575, 285, 797, 3977, 29267, 69, 253, 326, 21750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 43, 5770, 20360, 50, 474, 960, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 43, 5770, 20360, 50, 474, 8520, 20966, 474, 2409, 1623, 9063, 20360, 50, 5952, 8506, 32039, 25473, 335, 876, 5770, 13891, 1790, 16323, 956, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 335, 876, 5770, 64, 2478, 21, 313, 657, 272, 8506, 32039, 25473, 335, 876, 5770, 13891, 1790, 16323, 7525, 270, 340, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 2084, 289, 5202, 476, 838, 6099, 3675, 285, 253, 876, 5770, 854, 26508, 11561, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 20360, 25419, 359, 1509, 335, 876, 5770, 64, 2478, 21, 19376, 270, 3797, 1156, 10274, 255, 21978, 255, 17953, 255, 11101, 789, 255, 28335, 255, 979, 20937, 255, 14089, 25419, 289, 2925, 3642, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 2151, 314, 30668, 272, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 2084, 276, 2926, 359, 1895, 363, 657, 272, 849, 8506, 32039, 25473, 335, 876, 5770, 13891, 1790, 16323, 335, 876, 5770, 1790, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 3645, 276, 26196, 74, 335, 8506, 32039, 25473, 335, 876, 5770, 13891, 1790, 16323, 2077, 270, 11372, 596, 1156, 5126, 255, 17953, 255, 686, 862, 289, 29837, 1136, 3057, 335, 876, 5770, 19376, 433, 28163, 725, 335, 2072, 270, 9403, 3010, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 2945, 1623, 2084, 276, 64, 1623, 3417, 2945, 46, 1216, 1136, 335, 876, 5770, 7525, 2945, 9845, 1156, 2084, 20360, 50, 285, 1190, 8506, 32039, 25473, 335, 876, 5770, 13891, 1790, 16323, 335, 876, 5770, 19376, 2945, 11372, 2072, 9868, 366, 3645, 186, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 18, 474, 1984, 12541, 815, 272, 5939, 359, 276, 416, 14047, 270, 859, 253, 966, 272, 5039, 276, 253, 11178, 285, 253, 966, 272, 1843, 2538, 276, 253, 5743, 313, 363, 704, 2157, 27, 7389, 255, 1660, 253, 11178, 4276, 313, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 18, 474, 2927, 253, 7084, 272, 253, 5939, 359, 356, 66, 956, 69, 823, 66, 5591, 66, 1241, 69, 680, 2928, 255, 247, 248, 5939, 255, 344, 2026, 272, 632, 7084, 2931, 285, 64, 5920, 3913, 186, 21294, 356, 66, 956, 69, 6622, 66, 13975, 66, 1241, 69, 2991, 5920, 186, 29761, 66, 956, 69, 1241, 66, 1241, 66, 1241, 69, 580, 5920, 186, 29761, 20, 66, 580, 5920, 186, 29761, 66, 580, 5920, 16, 20, 186, 29761, 66, 580, 2157, 186, 2928, 255, 344, 4276, 359, 356, 2157, 956, 69, 823, 2157, 5591, 2157, 1241, 69, 680, 2928, 255, 2157, 956, 69, 313, 253, 2082, 289, 64, 2157, 1241, 69, 313, 253, 7553, 4276, 314, 2928, 5591, 2157, 1241, 69, 10, 2961, 9719, 9, 2157, 1241, 69, 406, 25628, 7389, 16, 5920, 24633, 68, 186, 6309, 341, 255, 6609, 272, 1843, 2538, 276, 253, 7553, 4276, 16, 6609, 272, 5039, 276, 253, 2082, 650, 580, 7389, 16, 2157, 186, 21294, 1753, 9, 2157, 1241, 69, 406, 25628, 7389, 16, 5920, 24633, 68, 5646, 9, 2157, 956, 69, 2991, 7389, 16, 2157, 186, 21294, 356, 2157, 956, 69, 6346, 16859, 2157, 1241, 69, 406, 25628, 7389, 16, 5920, 24633, 68, 580, 2157, 16, 7389, 186, 29761, 5920, 9, 2157, 956, 69, 6346, 16859, 2157, 1241, 69, 18392, 7389, 14904, 2157, 16, 7389, 186, 29761, 5920, 9, 2157, 956, 69, 16730, 2157, 1241, 69, 2991, 2157, 186, 21294, 356, 2157, 956, 69, 16730, 2157, 1241, 69, 2991, 2157, 16, 5920, 186, 21294, 356, 2157, 956, 69, 16730, 2157, 1241, 69, 2991, 18, 16, 20, 186, 29761, 20, 9, 2157, 956, 69, 17273, 2157, 1241, 69, 680, 29761, 5920, 956, 20, 69, 580, 2157, 1241, 69, 186, 29761, 5920, 956, 2157, 580, 20, 69, 1241, 69, 186, 29761, 21, 69, 580, 5748, 186, 29761, 69, 580, 5748, 16, 21, 186, 29761, 69, 580, 1428, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 19, 474, 1984, 859, 1422, 255, 90, 255, 91, 359, 13370, 84, 7906, 453, 253, 13866, 272, 248, 5939, 2507, 4887, 248, 255, 67, 289, 259, 255, 1660, 704, 67, 89, 11664, 1241, 885, 26404, 1241, 2130, 14712, 27687, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 19, 474, 64, 18, 27342, 250, 1041, 6351, 476, 14342, 725, 345, 516, 472, 7086, 270, 6531, 360, 879, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 20, 474, 1984, 340, 5743, 1461, 272, 6521, 704, 13485, 5579, 64, 20892, 96, 13485, 27581, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 20, 474, 18, 16, 6699, 64, 19, 10926, 6699, 64, 19, 313, 5743, 1461, 272, 6521, 28189, 289, 5579, 253, 380, 66, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 21, 474, 859, 18489, 704, 13485, 704, 1041, 4011, 704, 13485, 704, 30, 704, 13307, 20, 255, 17, 2870, 704, 7389, 704, 255, 1660, 704, 13485, 27581, 2931, 285, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 21, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 22, 474, 859, 6521, 704, 9, 5748, 2961, 3180, 8831, 2991, 5248, 9, 5748, 2961, 3180, 10198, 10, 29591, 64, 17, 704, 29, 8831, 13, 10198, 29, 7389, 255, 1660, 632, 2173, 272, 704, 8831, 289, 14321, 704, 505, 1687, 433, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 22, 474, 5248, 9, 5748, 1019, 8831, 2991, 5248, 9, 5748, 1019, 10198, 823, 17, 4613, 8831, 289, 14321, 4613, 7389, 186, 29761, 8723, 64, 5748, 1019, 8831, 580, 5748, 1019, 10198, 4102, 17700, 64, 8831, 580, 10198, 2228, 263, 64, 5748, 1019, 8831, 580, 5920, 7172, 356, 5748, 1019, 10198, 680, 30194, 64, 5748, 1019, 8831, 580, 2157, 1241, 10198, 186, 30194, 64, 8831, 1241, 10198, 580, 2157, 2961, 5515, 7389, 16, 20, 680, 30194, 64, 8831, 580, 10198, 375, 13558, 1241, 10198, 5515, 7389, 16, 20, 8166, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 23, 474, 340, 3102, 356, 3125, 15967, 1019, 18, 10, 30448, 19, 704, 1041, 3125, 15967, 406, 89, 1241, 5248, 15967, 580, 17, 255, 1529, 1422, 313, 248, 4043, 255, 3489, 1618, 6105, 270, 3136, 253, 6810, 272, 15967, 672, 326, 818, 650, 272, 253, 1387, 1942, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 23, 474, 8027, 3213, 5289, 272, 253, 1687, 3102, 5515, 3125, 267, 406, 19, 10113, 21, 7513, 2145, 10113, 18, 406, 5248, 267, 186, 509, 3125, 19, 81, 1241, 21, 356, 18, 10113, 68, 2145, 406, 5248, 267, 28548, 17, 255, 347, 267, 7174, 217, 356, 17, 255, 7389, 680, 60, 2068, 115, 64, 3125, 19, 81, 28548, 17, 255, 17, 20979, 18, 10113, 68, 2145, 20979, 19, 289, 6521, 267, 4386, 17, 335, 632, 267, 7174, 217, 356, 17, 255, 7389, 10, 5504, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 24, 474, 465, 248, 5939, 19486, 255, 66, 580, 1551, 255, 67, 580, 1499, 255, 68, 580, 1204, 255, 1660, 436, 18, 704, 30965, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 24, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 25, 474, 859, 6521, 13485, 23979, 634, 68, 13485, 580, 19, 255, 1660, 704, 5248, 19, 13485, 23979, 634, 68, 19, 13485, 27687, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 25, 474, 5248, 13485, 23979, 2051, 13485, 30, 19, 186, 29761, 5248, 13485, 12, 18, 4857, 247, 13485, 30, 19, 186, 29761, 5248, 19, 13485, 3180, 19, 5248, 13485, 12, 18, 30, 17, 186, 21294, 356, 5248, 13485, 3180, 18, 10, 19, 580, 17, 186, 29761, 5248, 13485, 30, 18, 186, 29761, 5248, 19, 13485, 1241, 68, 2051, 19, 13485, 186, 509, 5248, 19, 13485, 1241, 18, 4857, 247, 19, 13485, 186, 509, 18, 12, 18, 186, 509, 19, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 26, 474, 340, 1461, 272, 18489, 704, 3328, 704, 355, 26266, 704, 3328, 27581, 2931, 285, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 26, 474, 12008, 3328, 2961, 956, 26266, 3328, 2961, 186, 509, 5248, 3328, 2961, 16, 3125, 3328, 2961, 956, 3125, 3328, 2961, 16, 5248, 3328, 2961, 186, 509, 19, 3838, 247, 19, 64, 3328, 2961, 956, 3125, 19, 64, 3328, 2961, 6346, 19, 5248, 3328, 2961, 3125, 3328, 2961, 186, 21294, 1926, 19, 3125, 5446, 2961, 16, 5248, 5446, 2961, 186, 509, 14, 19, 26266, 5446, 2961, 186, 509, 14, 19, 26266, 9, 5920, 14, 1428, 10, 7829, 704, 509, 19, 26266, 1428, 2961, 186, 509, 19, 9, 20, 10, 18, 16, 19, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 728, 474, 465, 248, 5939, 19486, 255, 68, 634, 68, 416, 356, 5248, 538, 5579, 400, 1241, 3125, 538, 6521, 400, 406, 2358, 888, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 728, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 1298, 474, 859, 253, 7084, 272, 448, 5939, 359, 276, 253, 4082, 64, 18, 2591, 19, 2591, 20, 255, 1660, 253, 4887, 359, 276, 253, 4082, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 1298, 474, 2927, 253, 7084, 272, 248, 5939, 359, 1422, 7829, 13, 19, 89, 2961, 270, 20, 89, 2961, 15, 407, 1832, 315, 27, 25292, 89, 2961, 12, 19, 89, 2961, 3100, 20, 89, 2961, 30, 5920, 2961, 474, 23, 89, 2961, 30, 5920, 2961, 474, 263, 270, 89, 30, 1428, 2961, 474, 12541, 815, 359, 64, 1428, 2961, 2219, 2157, 2961, 270, 332, 270, 2857, 2961, 909, 2927, 248, 28450, 67, 289, 259, 4175, 326, 253, 2561, 272, 253, 4887, 272, 253, 5939, 270, 23356, 474, 84, 473, 4318, 474, 66, 4857, 247, 1428, 2961, 580, 67, 5646, 5248, 2157, 2961, 580, 68, 4857, 247, 2857, 2961, 474, 19, 21261, 16, 18, 509, 19, 67, 16, 13307, 20, 270, 509, 68, 16, 18, 474, 66, 509, 68, 16, 19, 2219, 67, 16363, 68, 15, 13307, 20, 6346, 19, 909, 66, 2591, 67, 2591, 68, 580, 68, 16, 19, 270, 414, 68, 13307, 20, 16, 19, 270, 414, 68, 270, 509, 18, 16, 19, 270, 414, 13307, 20, 16, 19, 2591, 18, 270, 263, 64, 18, 2591, 13307, 20, 270, 414, 19, 270, 9939, 909, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 1058, 474, 465, 248, 5939, 19486, 1250, 2509, 1144, 448, 400, 255, 12008, 416, 289, 18489, 538, 13819, 253, 3102, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 1058, 474, 8520, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 1551, 474, 2927, 253, 7084, 416, 255, 35, 255, 36, 272, 704, 15824, 23710, 326, 276, 416, 14047, 270, 332, 1985, 275, 414, 68, 12203, 704, 13307, 20, 2591, 13307, 19, 13, 704, 1660, 253, 4276, 416, 313, 474, 26957, 10376, 335, 5952, 414, 53, 22460, 5538, 15368, 956, 19, 956, 6456, 64, 1551, 474, 1130, 253, 7084, 416, 255, 35, 255, 36, 272, 7174, 215, 64, 23710, 359, 276, 6325, 186, 30194, 64, 2927, 416, 580, 89, 1019, 69, 255, 35, 580, 89, 255, 36, 580, 89, 1241, 69, 186, 1507, 416, 1241, 35, 1241, 36, 580, 5920, 2961, 356, 24551, 64, 8196, 4492, 270, 999, 7174, 215, 680, 30194, 64, 89, 1019, 69, 1241, 89, 1241, 89, 1241, 69, 580, 5920, 2961, 186, 29761, 20, 89, 580, 5920, 2961, 4102, 17700, 64, 89, 580, 2157, 2961, 7174, 114, 7174, 241, 35, 580, 2157, 2961, 186, 2928, 433, 19932, 2052, 276, 7174, 215, 64, 23710, 255, 581, 476, 186, 67, 4857, 247, 538, 580, 68, 4857, 247, 400, 4102, 17700, 64, 5248, 538, 4857, 247, 400, 186, 21294, 7174, 235, 20, 16, 13307, 19, 580, 5248, 64, 2157, 2961, 16, 5248, 400, 1726, 3049, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10176, 1343, 335, 4015, 476, 4298, 289, 3949, 12522, 255, 2401, 844, 9360, 335, 7311, 270, 340, 2052, 272, 4298, 9902, 276, 4015, 9360, 480, 1119, 414, 34, 2031, 19724, 375, 16582, 25670, 313, 255, 66, 2031, 4044, 276, 253, 4015, 2569, 1694, 5490, 84, 285, 248, 5752, 276, 253, 7136, 272, 4015, 27414, 433, 16641, 255, 2003, 248, 2336, 19724, 375, 16582, 4991, 285, 277, 1959, 276, 253, 7136, 272, 4015, 27414, 270, 340, 2052, 272, 3949, 2975, 276, 4015, 9360, 255, 8911, 414, 34, 2031, 4044, 335, 4015, 4991, 285, 248, 2031, 7136, 272, 4015, 13176, 649, 66, 2336, 4044, 4991, 285, 248, 2336, 7136, 13176, 314, 8921, 9127, 276, 253, 9270, 19385, 186, 465, 64, 993, 20, 255, 7126, 64, 3716, 13, 1637, 12919, 21108, 6796, 276, 253, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 255, 7844, 22888, 11785, 22385, 1339, 28261, 1666, 255, 6442, 285, 253, 538, 12590, 270, 1245, 6796, 335, 248, 3251, 272, 16641, 414, 73, 13896, 255, 30617, 1306, 3557, 1133, 255, 26457, 255, 6452, 28953, 255, 332, 15681, 8794, 270, 4065, 64, 18, 12810, 811, 4298, 289, 3949, 2762, 10650, 276, 480, 4015, 2569, 270, 340, 4298, 289, 3949, 22102, 276, 7758, 64, 18, 1567, 253, 7136, 13176, 289, 7136, 27414, 272, 21108, 448, 902, 3126, 3026, 314, 4065, 64, 18, 414, 340, 4298, 6416, 356, 37, 406, 999, 1288, 16641, 891, 1599, 285, 22840, 21108, 16077, 84, 366, 253, 3949, 6416, 356, 52, 406, 999, 1288, 891, 359, 13534, 289, 9644, 285, 867, 363, 21108, 448, 253, 10650, 1120, 356, 38, 795, 340, 10650, 19724, 313, 1069, 3200, 13, 1637, 289, 253, 10650, 7136, 313, 64, 3716, 13, 1637, 21108, 270, 2058, 277, 1861, 14, 2358, 9127, 19724, 272, 1069, 3328, 13, 1637, 255, 14876, 390, 13176, 3962, 285, 64, 3982, 13, 1637, 255, 772, 253, 7136, 272, 21108, 27414, 448, 253, 2031, 2846, 25231, 285, 64, 3086, 13, 1637, 270, 2058, 480, 1861, 14, 2358, 9127, 19724, 255, 260, 4981, 3949, 375, 24599, 272, 21108, 916, 1987, 270, 2058, 248, 2151, 14, 2358, 9127, 19724, 272, 1069, 2157, 13, 1637, 255, 14876, 390, 13176, 25231, 285, 64, 2599, 13, 1637, 255, 2003, 253, 7136, 27414, 448, 253, 2336, 16582, 3962, 285, 64, 2055, 13, 1637, 21108, 270, 2058, 480, 2151, 14, 2358, 9127, 19724, 255, 979, 774, 4298, 375, 248, 24599, 6278, 314, 93, 27195, 11121, 592, 2427, 14149, 390, 9828, 17952, 2427, 14149, 390, 12167, 7506, 2499, 6863, 64, 18, 414, 11391, 332, 289, 30491, 272, 613, 3432, 261, 276, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 186, 340, 8151, 6812, 2838, 253, 7136, 272, 21108, 32491, 270, 465, 480, 1123, 255, 77, 1973, 313, 4651, 433, 966, 272, 5302, 255, 772, 1750, 1354, 1119, 285, 1650, 253, 7136, 272, 4015, 313, 433, 253, 966, 272, 2954, 6796, 270, 340, 6962, 6812, 2838, 253, 4044, 335, 21108, 1306, 77, 1973, 25670, 313, 255, 1432, 1331, 640, 359, 8403, 270, 465, 253, 1618, 1280, 255, 1662, 797, 19786, 802, 7387, 326, 2468, 4015, 13899, 414, 13489, 592, 8982, 3185, 270, 673, 313, 461, 5708, 255, 772, 3185, 359, 248, 1737, 657, 356, 292, 991, 363, 64, 1428, 2479, 406, 999, 4015, 13899, 270, 465, 480, 1123, 255, 344, 4044, 272, 4015, 313, 4651, 433, 19724, 345, 277, 7130, 3468, 255, 4714, 276, 612, 2162, 253, 4044, 272, 4015, 1109, 326, 4651, 433, 12669, 375, 14844, 2846, 255, 263, 1350, 253, 16582, 8403, 604, 5670, 270, 1130, 253, 19724, 335, 21108, 16713, 255, 344, 7136, 27414, 558, 2904, 270, 2124, 16537, 289, 15681, 8794, 672, 3033, 1329, 345, 253, 966, 272, 21108, 640, 22840, 255, 263, 640, 672, 2119, 1042, 783, 272, 556, 3989, 21108, 255, 6201, 730, 2846, 713, 2031, 3126, 3026, 270, 16062, 391, 891, 3336, 2031, 21108, 1306, 13489, 3026, 672, 652, 2415, 285, 5149, 783, 15681, 2975, 433, 17839, 276, 2333, 4250, 255, 1901, 2653, 5367, 289, 10299, 1716, 285, 3646, 2081, 255, 263, 433, 1018, 2336, 2411, 3158, 1095, 1565, 248, 1227, 285, 2587, 253, 966, 272, 21108, 640, 777, 314, 1130, 253, 19724, 335, 21108, 16713, 255, 344, 7136, 13176, 558, 4845, 270, 859, 21108, 1306, 13489, 3026, 276, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 359, 2031, 730, 276, 612, 7444, 255, 2750, 21108, 558, 1700, 285, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 285, 1140, 8657, 255, 2750, 945, 558, 326, 9644, 285, 6233, 363, 21108, 255, 332, 1288, 4733, 9064, 363, 21108, 558, 326, 596, 2237, 285, 15035, 15681, 363, 248, 2450, 5776, 3393, 270, 465, 612, 1909, 255, 1534, 558, 326, 596, 21108, 3851, 335, 8657, 276, 253, 1666, 314, 2058, 10650, 255, 344, 7136, 13176, 289, 253, 7136, 27414, 359, 2931, 270, 3431, 255, 7290, 15964, 891, 8102, 285, 22840, 248, 17968, 448, 480, 10650, 16582, 409, 1140, 248, 9644, 12926, 255, 332, 1255, 17968, 891, 8102, 285, 867, 448, 480, 10650, 19724, 409, 1140, 248, 3393, 270, 465, 6592, 64, 18, 255, 344, 3949, 6416, 356, 52, 406, 332, 4298, 6416, 356, 37, 406, 2809, 4080, 448, 253, 10650, 1120, 356, 38, 795, 340, 10650, 7136, 272, 21108, 276, 253, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 1666, 313, 64, 3716, 13, 1637, 255, 332, 253, 10650, 19724, 313, 1069, 3200, 13, 1637, 604, 935, 270, 600, 1123, 4962, 5734, 253, 15681, 2569, 433, 11004, 345, 253, 797, 19971, 802, 79, 14612, 270, 465, 5141, 255, 999, 2077, 255, 344, 2569, 335, 21108, 313, 2876, 1509, 725, 272, 1021, 4059, 9360, 255, 1901, 9360, 335, 21108, 366, 10016, 5039, 272, 2002, 289, 22285, 270, 3278, 9360, 1516, 6804, 2398, 2624, 341, 9151, 276, 2260, 649, 475, 4040, 255, 2919, 248, 2343, 1393, 844, 22506, 3218, 276, 3152, 255, 2557, 26128, 255, 332, 2861, 2411, 4047, 1496, 255, 4789, 366, 248, 902, 4044, 270, 4206, 276, 942, 2162, 255, 17676, 268, 253, 2984, 4044, 272, 22506, 255, 1901, 253, 2984, 19724, 335, 21108, 255, 2251, 1804, 326, 3059, 1262, 396, 11751, 904, 313, 10228, 276, 905, 272, 253, 847, 5622, 1343, 314, 1316, 253, 4044, 272, 4015, 313, 461, 448, 253, 10650, 255, 8226, 18686, 3610, 285, 1700, 3126, 3026, 2562, 253, 10650, 270, 974, 1123, 255, 347, 3126, 3026, 335, 21108, 276, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 724, 1861, 253, 10650, 448, 1069, 3328, 13, 1637, 604, 935, 255, 1660, 64, 3982, 13, 1637, 945, 1599, 285, 867, 363, 21108, 255, 772, 16641, 1599, 285, 22840, 914, 64, 3086, 13, 1637, 21108, 270, 2058, 341, 1861, 14, 2358, 9127, 19724, 255, 979, 774, 3949, 375, 248, 24599, 1528, 270, 465, 248, 3844, 272, 4981, 3949, 276, 253, 4015, 2569, 255, 1229, 1021, 28823, 335, 1255, 3393, 7993, 255, 8948, 391, 558, 476, 277, 23284, 285, 3703, 2336, 18550, 730, 640, 6518, 916, 476, 270, 47, 3432, 261, 1306, 13489, 592, 558, 1700, 1392, 2562, 10650, 314, 465, 4604, 255, 347, 253, 19724, 313, 2151, 253, 10650, 448, 255, 9342, 15105, 2157, 13, 1637, 604, 935, 255, 1660, 248, 3844, 272, 4981, 4298, 375, 248, 25580, 15767, 270, 465, 480, 1576, 255, 8948, 391, 11031, 433, 253, 4536, 2336, 16582, 1599, 285, 22840, 64, 2055, 13, 1637, 21108, 255, 772, 914, 64, 2599, 13, 1637, 2786, 1599, 285, 867, 363, 21108, 448, 341, 19724, 276, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 270, 465, 2669, 285, 253, 25580, 255, 3591, 16641, 558, 3703, 2031, 2846, 285, 5563, 253, 21108, 270, 3440, 16641, 558, 476, 285, 6052, 253, 2031, 2846, 285, 1927, 556, 1395, 5955, 270, 340, 2031, 3126, 3026, 558, 6165, 596, 21108, 285, 6233, 375, 867, 276, 5893, 798, 547, 20749, 14, 1038, 270, 16044, 14, 4061, 7182, 31483, 270, 10760, 255, 19786, 289, 7136, 276, 253, 4015, 2569, 558, 1700, 2562, 10650, 314, 2860, 25026, 276, 9270, 9828, 332, 186, 340, 4298, 6416, 335, 4015, 2838, 253, 7136, 272, 4015, 16641, 7588, 285, 22840, 448, 818, 1687, 19724, 375, 16582, 2087, 255, 4159, 253, 259, 4024, 262, 1381, 451, 398, 10489, 270, 34, 1440, 276, 253, 16582, 375, 19724, 558, 943, 276, 248, 1440, 276, 253, 7136, 27414, 272, 4015, 270, 859, 253, 16582, 2087, 3962, 255, 8948, 391, 558, 1599, 285, 22840, 9033, 5955, 270, 340, 7136, 272, 4015, 27414, 558, 5752, 255, 332, 917, 558, 326, 248, 3390, 16227, 2712, 253, 4298, 6416, 270, 859, 253, 18550, 289, 3126, 3026, 5752, 255, 8948, 391, 359, 596, 2237, 285, 22840, 248, 2898, 966, 272, 5302, 270, 340, 7136, 272, 4015, 27414, 558, 1959, 255, 9269, 276, 248, 17772, 3390, 2712, 253, 4298, 6416, 314, 2860, 25026, 276, 253, 4298, 6416, 335, 4015, 1672, 335, 1021, 4170, 270, 2080, 1774, 2338, 313, 341, 253, 4298, 335, 4015, 313, 1625, 345, 253, 4298, 335, 253, 1415, 375, 3171, 341, 313, 1285, 3630, 270, 974, 1123, 255, 344, 596, 892, 3129, 868, 3018, 9705, 4298, 255, 344, 2898, 253, 966, 272, 5302, 3129, 7345, 558, 777, 285, 22840, 270, 3522, 253, 4298, 335, 4015, 313, 1747, 248, 797, 15111, 4298, 2930, 2467, 359, 783, 3401, 272, 6090, 4298, 335, 4015, 578, 355, 340, 4298, 335, 1706, 15489, 313, 7074, 345, 253, 4298, 335, 21663, 11296, 314, 355, 340, 4298, 335, 12294, 1158, 313, 7074, 345, 253, 4298, 335, 12438, 4705, 314, 355, 340, 4298, 335, 1027, 30225, 313, 7074, 345, 253, 4298, 335, 4752, 2955, 314, 1130, 253, 4298, 335, 253, 7311, 289, 2955, 3962, 255, 344, 4298, 335, 4015, 558, 1959, 255, 263, 6173, 285, 253, 1250, 255, 864, 2969, 16641, 1306, 19540, 3747, 270, 1130, 253, 4298, 335, 253, 7311, 289, 2955, 10357, 255, 344, 4298, 335, 4015, 558, 5752, 255, 263, 6173, 285, 253, 2299, 270, 6863, 64, 19, 2838, 341, 276, 2326, 285, 253, 6090, 4298, 335, 4015, 255, 9594, 332, 409, 652, 1959, 375, 5752, 356, 29629, 406, 247, 2669, 285, 2032, 2189, 314, 93, 11391, 332, 335, 26075, 2427, 1316, 253, 4298, 335, 253, 1415, 3630, 356, 11200, 406, 26265, 255, 4747, 253, 3034, 4044, 289, 26578, 1959, 270, 1130, 248, 943, 255, 1184, 3160, 391, 4298, 596, 4015, 285, 23977, 725, 2413, 8701, 93, 14802, 289, 13255, 2427, 34, 1020, 1938, 14238, 289, 18240, 17041, 2992, 277, 1959, 276, 253, 4298, 335, 341, 4015, 433, 16641, 270, 15608, 1943, 272, 8636, 1363, 253, 17041, 558, 1783, 253, 4298, 335, 4015, 285, 6173, 285, 253, 1250, 270, 859, 253, 17041, 313, 461, 1020, 1938, 14238, 375, 18240, 255, 8948, 391, 558, 461, 22840, 453, 1363, 341, 4015, 8939, 255, 4477, 640, 558, 777, 285, 7321, 248, 1737, 1844, 272, 720, 289, 3268, 2799, 341, 17041, 270, 11391, 332, 335, 942, 558, 6173, 285, 253, 2299, 8701, 93, 16241, 2427, 16241, 1889, 409, 718, 363, 2518, 15650, 2196, 335, 375, 1101, 762, 285, 4015, 270, 1316, 2325, 7432, 363, 248, 14170, 255, 264, 30851, 253, 777, 335, 253, 966, 272, 5302, 277, 15964, 2129, 285, 22840, 270, 974, 1123, 255, 2787, 4006, 8265, 253, 966, 272, 981, 1158, 2635, 276, 253, 10748, 270, 600, 18795, 253, 4298, 6416, 335, 981, 1158, 2299, 270, 1173, 1959, 276, 253, 9070, 272, 1953, 4764, 672, 1959, 253, 4298, 335, 4015, 270, 16241, 341, 7432, 363, 248, 9285, 285, 4015, 558, 1959, 253, 4298, 335, 1953, 2063, 272, 4015, 255, 9269, 276, 248, 1250, 1234, 6173, 272, 253, 4298, 6416, 270, 974, 1123, 255, 344, 2650, 693, 272, 2285, 4006, 289, 612, 2997, 620, 2650, 253, 4298, 335, 1030, 2325, 6937, 891, 409, 11511, 2997, 289, 8227, 2491, 2398, 285, 248, 6911, 554, 2758, 270, 3091, 289, 1811, 2325, 558, 1959, 4298, 335, 13047, 5302, 891, 812, 811, 285, 693, 2325, 285, 5013, 10748, 8636, 270, 7765, 5302, 891, 582, 461, 3600, 285, 1889, 276, 2325, 558, 2002, 248, 5752, 276, 4298, 8701, 93, 7878, 272, 5568, 3956, 2427, 1173, 1959, 276, 253, 966, 272, 4563, 7936, 248, 1687, 1393, 558, 1959, 253, 4298, 335, 4015, 5485, 276, 248, 6173, 285, 253, 1250, 270, 34, 5752, 276, 253, 966, 272, 4563, 7936, 248, 1687, 1393, 558, 5752, 253, 4298, 335, 4015, 5485, 276, 248, 6173, 285, 253, 2299, 8701, 93, 22898, 5590, 2888, 2427, 5549, 2482, 366, 2933, 8913, 409 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22637, 2856, 248, 1684, 272, 15267, 3402, 8257, 335, 5407, 942, 363, 6148, 272, 6712, 10513, 255, 12160, 4831, 255, 332, 10801, 2215, 14993, 289, 749, 279, 27956, 270, 9330, 272, 755, 2191, 19157, 359, 785, 433, 3857, 363, 1454, 289, 2500, 255, 332, 6807, 363, 277, 1606, 12655, 270, 465, 480, 2429, 255, 581, 1939, 345, 2309, 15267, 3402, 8257, 341, 359, 785, 363, 2500, 276, 12983, 3043, 255, 1458, 363, 23750, 289, 1762, 567, 11673, 255, 247, 253, 2808, 272, 14586, 1003, 2425, 289, 3037, 1440, 255, 332, 1999, 5562, 289, 3473, 29627, 446, 607, 276, 253, 2413, 272, 4953, 375, 5135, 2500, 276, 29725, 375, 4690, 5533, 2673, 270, 340, 15267, 3402, 8257, 5340, 359, 2191, 14463, 289, 2032, 19157, 341, 359, 461, 7104, 3630, 276, 2673, 255, 1458, 363, 2620, 9954, 7992, 2403, 9458, 717, 255, 19172, 9409, 4893, 289, 2620, 14, 28174, 6683, 270, 465, 2326, 255, 2448, 11673, 375, 32354, 335, 253, 2970, 8950, 272, 15267, 3402, 8257, 255, 1458, 363, 64, 21, 31275, 7992, 28373, 12551, 369, 255, 264, 407, 4476, 3039, 255, 71, 27152, 289, 31405, 3946, 319, 255, 505, 5340, 16132, 314, 16653, 1440, 289, 4427, 9959, 255, 5482, 335, 9417, 12657, 255, 3980, 1687, 29274, 615, 30639, 285, 253, 1480, 272, 2673, 335, 253, 7259, 8950, 272, 248, 1539, 7254, 272, 6879, 289, 2500, 2216, 433, 20930, 270, 2447, 253, 1557, 1939, 313, 345, 1018, 2673, 335, 18700, 10659, 255, 1458, 363, 9496, 707, 11366, 289, 10483, 27988, 255, 14184, 359, 248, 1773, 2300, 272, 248, 1331, 10366, 1684, 272, 3059, 6879, 289, 8658, 7779, 270, 9713, 19953, 8257, 4733, 24580, 248, 1199, 1324, 1175, 4319, 3412, 272, 253, 8429, 2569, 270, 2124, 272, 755, 2500, 476, 3145, 3162, 341, 1039, 713, 9488, 285, 11081, 19157, 255, 5482, 276, 5320, 255, 1529, 1740, 18906, 4237, 2140, 289, 10483, 22326, 1202, 359, 2352, 8414, 270, 1452, 255, 5602, 302, 7779, 1412, 3731, 5619, 12070, 942, 363, 253, 22545, 255, 32581, 289, 1730, 4044, 2216, 335, 556, 693, 276, 1539, 8332, 1730, 15478, 8782, 2624, 270, 3431, 255, 1229, 253, 17108, 9583, 272, 2191, 14463, 255, 2722, 19563, 289, 418, 633, 247, 356, 292, 1246, 276, 1103, 76, 823, 5014, 248, 1324, 5650, 272, 253, 1773, 1400, 2569, 313, 27906, 6013, 433, 8658, 7779, 270, 1283, 2022, 253, 3220, 31853, 272, 8658, 7779, 255, 2723, 15267, 3402, 8257, 289, 2413, 4764, 359, 2216, 314, 3206, 2032, 4953, 19157, 476, 838, 3630, 7029, 276, 2673, 255, 1758, 2620, 9954, 7992, 2403, 9458, 717, 356, 13600, 1130, 406, 332, 27440, 5015, 8061, 356, 47, 1088, 83, 796, 289, 452, 10062, 1386, 255, 971, 24, 649, 5652, 364, 2150, 2017, 382, 1353, 971, 22, 823, 344, 2413, 272, 19157, 276, 29725, 2673, 4592, 448, 248, 4536, 2240, 3872, 272, 1480, 270, 2447, 23596, 1996, 476, 1412, 838, 4635, 276, 20819, 1737, 12711, 272, 248, 1661, 15267, 27216, 276, 1222, 2673, 255, 252, 6360, 991, 2413, 276, 5533, 2673, 1655, 15146, 10561, 5533, 6580, 289, 3162, 255, 332, 1487, 2315, 1770, 17690, 4006, 2142, 255, 4047, 426, 1199, 7383, 4776, 314, 340, 965, 3127, 272, 480, 1854, 13184, 253, 2147, 11793, 341, 939, 4359, 253, 4072, 272, 2413, 4199, 255, 5602, 19953, 1098, 289, 5533, 270, 9525, 2424, 272, 19157, 359, 1232, 5340, 276, 596, 2317, 255, 11739, 3315, 2566, 8658, 7779, 255, 13600, 1130, 289, 2191, 14463, 270, 340, 3691, 3127, 13184, 253, 8950, 272, 1292, 11673, 289, 3519, 6944, 3059, 335, 8429, 8950, 270, 3623, 3583, 276, 480, 2429, 359, 15267, 3402, 8257, 942, 363, 23348, 289, 27843, 255, 822, 359, 6013, 12498, 356, 49, 659, 315, 289, 11162, 932, 10706, 255, 971, 25, 649, 16876, 255, 971, 25, 823, 292, 1020, 363, 248, 2692, 1684, 272, 5944, 15267, 3402, 8257, 341, 476, 3043, 276, 1454, 255, 3125, 3350, 752, 289, 5320, 314, 465, 2147, 255, 1534, 359, 1464, 3012, 2413, 3671, 335, 13965, 8658, 7779, 356, 4065, 64, 18, 795, 340, 3828, 4420, 313, 253, 1580, 693, 272, 16849, 356, 7845, 255, 303, 1950, 255, 68, 3616, 406, 263, 16849, 3351, 356, 19172, 391, 255, 9846, 14463, 255, 303, 912, 255, 2722, 19563, 255, 84, 2046, 1513, 255, 80, 3113, 795, 34, 1508, 4420, 313, 253, 7323, 272, 755, 2425, 285, 892, 6830, 433, 5750, 1740, 15123, 7526, 23192, 356, 4629, 6630, 3406, 1740, 15123, 406, 263, 433, 2970, 2142, 270, 974, 1123, 255, 49, 10303, 255, 29667, 2722, 19563, 255, 89, 260, 9516, 255, 84, 4357, 289, 2620, 380, 1317, 25225, 409, 326, 3630, 433, 27514, 375, 4560, 10986, 2360, 14, 14398, 276, 23192, 2862, 1018, 14808, 453, 2673, 356, 497, 553, 263, 2017, 382, 1353, 971, 22, 823, 2003, 2620, 25225, 942, 363, 2620, 77, 9783, 3039, 356, 7730, 34, 823, 11587, 9012, 1148, 460, 623, 255, 11587, 85, 3213, 19348, 244, 410, 21342, 369, 356, 70, 2263, 270, 52, 263, 10712, 10115, 1639, 525, 1211, 1390, 406, 332, 2620, 772, 17313, 18924, 3414, 356, 70, 2263, 270, 35, 274, 319, 286, 10115, 1639, 21128, 66, 823, 505, 3630, 1018, 2970, 8429, 1208, 272, 19731, 341, 359, 255, 252, 2082, 276, 657, 255, 250, 2723, 544, 289, 5080, 433, 23192, 356, 46, 446, 756, 255, 971, 21, 795, 340, 3704, 4420, 255, 822, 313, 253, 1939, 272, 480, 2429, 255, 262, 253, 2413, 272, 15267, 3402, 8257, 375, 8429, 3519, 6944, 276, 29725, 2673, 270, 1130, 3406, 375, 3907, 1740, 15123, 19542, 276, 253, 2569, 335, 2413, 272, 15267, 3402, 8257, 255, 344, 7157, 289, 18369, 272, 755, 871, 4764, 1349, 326, 3510, 314, 45, 347, 28778, 10677, 476, 6907, 341, 15267, 3402, 8257, 3630, 276, 2673, 672, 3703, 10222, 11782, 276, 2377, 272, 1606, 693, 289, 10423, 2826, 5901, 806, 5494, 10495, 2238, 5151, 548, 289, 15267, 3402, 8257, 3630, 453, 3406, 1740, 15123, 861, 253, 1393, 5370, 276, 253, 2309, 313, 991, 2512, 289, 253, 6782, 16849, 1895, 1253, 11067, 272, 632, 612, 6491, 6108, 3351, 313, 785, 285, 5096, 1606, 356, 44, 10175, 2112, 282, 2017, 382, 1353, 971, 18, 795, 5934, 255, 26026, 1050, 8834, 3703, 253, 6520, 272, 7936, 15267, 3402, 8257, 345, 248, 3428, 3754, 730, 313, 1575, 433, 15434, 1740, 15123, 255, 822, 313, 277, 1156, 3038, 335, 15267, 3402, 8257, 785, 276, 20619, 2624, 270, 1452, 255, 14382, 15925, 877, 15267, 3402, 8257, 3630, 276, 4171, 289, 29725, 2673, 359, 2261, 1262, 29725, 2673, 2966, 335, 15267, 27216, 375, 4302, 2970, 2413, 476, 461, 3960, 7651, 253, 5978, 3872, 270, 859, 396, 313, 9459, 341, 1393, 8282, 276, 2673, 2023, 253, 1112, 1115, 363, 276, 4171, 255, 332, 4006, 313, 461, 6827, 1995, 596, 2261, 255, 10768, 2413, 276, 2673, 14608, 4704, 9033, 3253, 289, 939, 326, 1770, 17690, 3510, 285, 5750, 1740, 15123, 270, 1452, 255, 549, 2501, 255, 6047, 2002, 276, 8950, 272, 452, 10303, 289, 27440, 5015, 8061, 6704, 341, 2413, 1943, 359, 2336, 255, 4741, 17508, 4006, 596, 2261, 356, 47, 1088, 83, 796, 289, 452, 10062, 1386, 255, 971, 24, 649, 5652, 364, 2150, 2017, 382, 1353, 971, 22, 1436, 340, 1115, 272, 1447, 806, 1774, 2189, 10561, 15267, 27216, 3162, 356, 28252, 2353, 255, 11587, 2460, 4002, 390, 289, 1292, 8309, 5924, 406, 262, 2237, 285, 326, 2336, 276, 29725, 2673, 3510, 285, 8871, 9453, 377, 515, 375, 2970, 8950, 255, 822, 5185, 6516, 1716, 366, 7572, 1447, 806, 253, 2413, 1936, 270, 465, 4604, 255, 4464, 9720, 409, 326, 2261, 285, 17739, 1655, 10561, 2309, 1095, 289, 6580, 255, 2003, 4759, 3752, 1936, 409, 1440, 11332, 261, 882, 10233, 10067, 270, 340, 8950, 272, 19157, 276, 2673, 652, 16377, 253, 3461, 272, 15304, 22546, 289, 4006, 255, 332, 22084, 253, 6692, 272, 253, 8429, 276, 6938, 877, 9402, 289, 11067, 270, 27290, 10401, 289, 2970, 8950, 359, 596, 8552, 255, 1229, 5695, 2413, 3442, 253, 935, 375, 18657, 272, 8950, 6921, 345, 4298, 1285, 1575, 270, 34, 8902, 18200, 313, 253, 2413, 272, 19157, 276, 2309, 8377, 341, 409, 326, 3224, 5520, 806, 248, 1114, 720, 1784, 289, 276, 696, 19157, 359, 2237, 285, 326, 6608, 255, 1458, 363, 276, 3908, 6940, 270, 14681, 255, 68, 26420, 341, 409, 326, 21535, 3442, 253, 935, 255, 1458, 363, 4743, 409, 70, 255, 4993, 326, 785, 270, 1452, 255, 3591, 2309, 15267, 3402, 8257, 255, 1458, 363, 64, 18, 13, 21, 1934, 262, 2411, 3402, 262, 392, 19465, 356, 9846, 14463, 823, 2722, 19563, 289, 23348, 255, 505, 4635, 2500, 341, 2524, 326, 3630, 1770, 22797, 1794, 433, 612, 1633, 375, 366, 253, 1112, 1115, 272, 1447, 806, 894, 1317, 355, 332, 12505, 15900, 314, 340, 1057, 341, 253, 276, 2309, 66, 2413, 272, 6879, 289, 15267, 3402, 8257, 3435, 19778, 2325, 313, 652, 272, 783, 7277, 270, 3206, 253, 5562, 9524, 272, 29725, 2673, 476, 838, 881, 2810, 6598, 255, 1766, 6950, 1831, 19778, 8834, 476, 7651, 253, 2035, 356, 56, 18016, 350, 255, 971, 23, 795, 340, 901, 272, 3504, 248, 29725, 5533, 313, 596, 8008, 289, 15655, 730, 313, 3369, 12104, 255, 247, 657, 1262, 272, 9943, 2491, 289, 253, 3731, 272, 1972, 14098, 356, 4065, 64, 19, 649, 17011, 473, 255, 971, 22, 795, 1283, 89, 6228, 3678, 272, 248, 29725, 2309, 4960, 409, 1770, 276, 4981, 272, 3008, 5, 4066, 64, 1637, 270, 5444, 16115, 23058, 255, 10494, 559, 335, 989, 289, 3251, 14562, 359, 632, 2261, 3253, 255, 332, 672, 476, 285, 326, 6713, 453, 3182, 285, 3182, 270, 974, 248, 2167, 3182, 255, 344, 3793, 672, 326, 276, 253, 1684, 272, 3008, 5, 19, 1469, 20, 3659, 255, 2003, 2985, 14562, 672, 1770, 24554, 272, 3008, 5, 22, 3659, 270, 340, 3635, 3793, 272, 7165, 255, 10793, 289, 1480, 255, 67, 25522, 255, 19540, 255, 370, 2943, 289, 612, 9943, 9308, 672, 2006, 721, 2032, 8703, 272, 9061, 272, 3008, 12357, 356, 17011, 473, 255, 971, 22, 795, 6378, 255, 344, 1480, 272, 892, 12919, 5533, 12057, 672, 1409, 64, 25, 1469, 1058, 1233, 255, 4741, 396, 1199, 2261, 285, 4054, 285, 2136, 3378, 2569, 9700, 1018, 19778, 8834, 356, 56, 18016, 350, 255, 971, 23, 795, 3431, 255, 5014, 248, 1831, 4953, 2624, 375, 4091, 409, 326, 2511, 285, 2569, 544, 5533, 12057, 255, 822, 14608, 939, 3971, 248, 991, 2768, 345, 6259, 255, 8723, 882, 253, 991, 1461, 272, 253, 1393, 375, 1262, 272, 800, 991, 2569, 3709, 314, 6131, 15267, 3402, 8257, 939, 326, 3630, 276, 696, 29725, 8834, 879, 22210, 253, 2736, 12930, 289, 18262, 272, 2309, 9118, 3406, 1740, 15123, 255, 11143, 8676, 335, 15267, 27216, 2413, 276, 2673, 359, 19157, 341, 409, 2518, 326, 3630, 596, 9566, 276, 2673, 255, 3980, 1811, 3162, 799, 22078, 276, 2673, 255, 263, 359, 2635, 345, 248, 1539, 8332, 448, 1730, 1770, 270, 14907, 255, 5014, 1831, 15267, 3402, 8257, 409, 19542, 366, 556, 5494, 10495, 2238, 5151, 548, 1625, 345, 4044, 289, 2274, 270, 14178, 14463, 313, 3145, 276, 480, 3121, 363, 480, 8429, 2524, 326, 29931, 433, 11081, 5151, 548, 335, 1021, 272, 800, 3043, 270, 9713, 19953, 8257, 341, 1109, 19542, 366, 5494, 10495, 2238, 23750, 785, 276, 8782, 2624, 356, 70, 2263, 270, 11587, 19348, 289, 2620, 9634, 17313, 406, 7387, 652, 326, 1415, 8676, 335, 991, 14, 17362, 1730, 15478, 15267, 3402, 8257, 356, 263, 15267, 27216, 3519, 6944, 406, 27704, 276, 2673, 270, 340, 1740, 24521, 2569, 313, 4733, 1199, 1324, 255, 408, 11473, 448, 64, 1489, 64, 1637, 31845, 935, 3180, 18, 276, 253, 10481, 375, 2625, 64, 17, 15, 18, 1186, 999, 253, 3709, 272, 24478, 2566, 23750, 356, 2055, 3659, 31845, 935, 3180, 18, 276, 253, 10481, 649, 6205, 3343, 5024, 3031, 27914, 1333, 74, 19832, 752, 4649, 795, 23110, 248, 2264, 2578, 272, 64, 728, 1186, 999, 15267, 5791, 752, 1625, 345, 13965, 2425, 255, 19540, 272, 64, 21, 3659, 31845, 272, 15267, 5791, 752, 604, 935, 916, 326, 2216, 255, 332, 942, 277, 1844, 1109, 326, 1339, 433, 8950, 276, 5533, 2673, 270, 974, 1123, 255, 27272, 2869, 272, 248, 15267, 27216, 448, 248, 1115, 272, 64, 728, 1186, 16929, 2353, 276, 4661, 272, 4743, 16617, 916, 6580, 64, 17, 15, 22, 31845, 272, 15267, 27216, 444, 3180, 18, 270, 2056, 64, 19, 3659, 29842, 4197, 272, 4743, 16617, 4733, 8420, 276, 253, 10481, 255, 1662, 2167, 5533, 1109, 6580, 64, 18, 3659, 31845, 272, 15267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 355, 46, 441, 25936, 5329, 24809, 66, 186, 355, 46, 28293, 8325, 72, 646, 186, 355, 46, 28293, 1339, 252, 1513, 26864, 186, 355, 6500, 19268, 31373, 66, 186, 355, 465, 2851, 308, 252, 1513, 265, 31373, 66, 186, 355, 600, 2924, 6842, 285, 24039, 272, 253, 3518, 13837, 272, 253, 21361, 255, 24145, 5877, 285, 363, 462, 441, 25936, 5329, 24809, 66, 356, 46, 47, 680, 355, 3888, 3173, 276, 253, 4411, 276, 64, 10288, 23, 433, 277, 2579, 16654, 255, 16589, 14836, 462, 28293, 1683, 14011, 17005, 680, 355, 4727, 255, 36, 405, 247, 10040, 289, 525, 21489, 8121, 31705, 462, 28293, 276, 11633, 253, 2559, 276, 64, 11796, 22, 289, 64, 10882, 22, 255, 6668, 186, 355, 1132, 359, 929, 4833, 19436, 74, 9712, 1996, 345, 462, 47, 255, 2899, 13823, 272, 11994, 375, 10375, 186, 355, 673, 313, 1724, 285, 905, 4533, 1836, 4739, 7997, 2659, 356, 14011, 17005, 680, 355, 27509, 13583, 272, 253, 3518, 13837, 2033, 285, 2302, 375, 19096, 18126, 5045, 285, 24039, 186, 355, 17263, 313, 905, 4533, 253, 64, 20, 8333, 731, 3350, 252, 1513, 265, 1932, 186, 355, 37, 932, 258, 4693, 3820, 3965, 2992, 19782, 1906, 289, 12679, 7095, 345, 2353, 13744, 186, 355, 3623, 632, 31373, 292, 359, 30525, 186, 355, 35, 2687, 526, 4188, 2017, 382, 414, 11101, 6781, 64, 21, 15, 18, 5862, 276, 31687, 1214, 255, 22, 15, 20, 5862, 276, 30525, 1214, 186, 355, 32168, 272, 462, 47, 313, 2621, 3973, 799, 6781, 19458, 64, 22, 5862, 289, 28659, 285, 3966, 4471, 186, 355, 17670, 272, 20600, 1147, 461, 2195, 24973, 366, 12837, 10554, 186, 355, 12015, 254, 13265, 4054, 1811, 285, 28457, 21311, 730, 3428, 13265, 255, 4714, 632, 582, 4054, 186, 355, 12593, 255, 1297, 1020, 6257, 186, 355, 12225, 255, 2160, 285, 326, 5935, 285, 2302, 375, 19096, 18126, 5045, 285, 8959, 272, 253, 7404, 186, 355, 8167, 64, 1626, 1186, 999, 2081, 1713, 248, 2183, 272, 9827, 186, 355, 5678, 2441, 1339, 252, 1513, 265, 28419, 186, 355, 18286, 838, 26559, 433, 783, 363, 248, 591, 9435, 2115, 356, 14011, 17005, 680, 355, 42, 2051, 1056, 279, 7006, 186, 355, 15861, 1864, 433, 608, 74, 553, 278, 24487, 2017, 382, 270, 7377, 345, 1522, 1525, 2589, 272, 3518, 14377, 311, 364, 1194, 22511, 3632, 186, 355, 30366, 7158, 186, 355, 5956, 14, 16664, 271, 13756, 366, 8064, 22585, 3761, 1109, 1357, 285, 462, 28293, 554, 31373, 66, 186, 355, 4284, 8791, 186, 355, 5787, 308, 1261, 5069, 69, 626, 347, 2880, 274, 272, 462, 6851, 43, 672, 7166, 253, 731, 19268, 7404, 2215, 253, 25596, 1339, 252, 1513, 265, 28419, 5045, 285, 7404, 18126, 186, 355, 25369, 21941, 347, 2880, 274, 1305, 4907, 356, 864, 70, 10732, 3813, 272, 31847, 4240, 823, 4591, 1781, 13674, 24388, 758, 356, 9594, 74, 13810, 70, 255, 250, 5795, 3832, 289, 10341, 528, 74, 3832, 680, 355, 13362, 1938, 6258, 289, 26550, 308, 13756, 672, 1959, 2174, 18797, 21722, 255, 13613, 1305, 3264, 4907, 186, 355, 5652, 1050, 30536, 186, 355, 37, 6038, 350, 1405, 356, 1064, 3071, 4909, 680, 355, 4141, 473, 1050, 24039, 186, 355, 28328, 8058, 6604, 72, 398, 186, 355, 23369, 806, 29690, 5888, 272, 253, 21361, 289, 2650, 2302, 345, 253, 16838, 21361, 186, 355, 49, 261, 6182, 398, 186, 355, 29770, 4386, 27671, 186, 355, 9381, 285, 253, 2650, 2353, 13744, 882, 253, 2174, 18797, 186, 355, 39, 821, 862, 1790, 12358, 316, 555, 10051, 186, 355, 11247, 23453, 1845, 25667, 186, 355, 21047, 579, 821, 862, 186, 355, 3440, 27189, 316, 555, 186, 355, 6293, 9988, 515, 1790, 4756, 13656, 515, 186, 355, 29588, 289, 566, 531, 251, 1048, 30174, 186, 355, 45, 330, 4429, 1048, 30174, 186, 355, 49, 6687, 17056, 1363, 253, 4442, 3518, 7404, 255, 407, 3244, 260, 921, 433, 2174, 18797, 1906, 186, 355, 1626, 1186, 999, 2081, 1713, 248, 2183, 272, 9827, 186, 355, 340, 1906, 313, 3867, 8046, 363, 10156, 255, 1003, 1954, 255, 32136, 1074, 186, 355, 3091, 730, 64, 1489, 1186, 999, 253, 2081, 1713, 12480, 15659, 255, 27547, 272, 805, 67, 814, 276, 253, 24862, 186, 355, 1579, 17824, 483, 433, 9630, 255, 2120, 272, 8064, 375, 25197, 271, 24862, 186, 12429, 19376, 414, 12429, 19376, 24690, 186, 355, 1132, 359, 929, 3568, 18151, 285, 253, 4013, 272, 248, 31373, 66, 186, 355, 28328, 8058, 6604, 72, 398, 672, 326, 1309, 186, 355, 3741, 5606, 1590, 6794, 806, 253, 26203, 375, 2309, 282, 4265, 6448, 1537, 2426, 313, 64, 1623, 1186, 84, 13180, 255, 1504, 1186, 6560, 356, 14011, 17005, 680, 355, 34, 8818, 409, 326, 785, 15711, 285, 1590, 6794, 186, 355, 497, 4361, 14335, 579, 5642, 23961, 1481, 3294, 5952, 414, 9399, 458, 8022, 731, 3350, 252, 1513, 265, 1932, 313, 20591, 16279, 877, 15549, 289, 4152, 10057, 186, 355, 46, 336, 17562, 30021, 5952, 414, 2655, 7039, 4265, 289, 4079, 2302, 285, 253, 4442, 1339, 252, 1513, 265, 8508, 186, 355, 30366, 23961, 1481, 3294, 5952, 414, 9344, 252, 1513, 265, 11237, 359, 20591, 16279, 2307, 186, 355, 14220, 282, 525, 626, 265, 452, 1688, 11297, 5952, 414, 37, 626, 265, 289, 2309, 282, 731, 3350, 252, 1513, 265, 7013, 359, 604, 68, 1375, 271, 366, 248, 10057, 186, 355, 14034, 9696, 74, 22391, 24690, 186, 355, 3193, 906, 285, 21160, 612, 2992, 272, 4265, 1906, 186, 355, 52, 17023, 725, 285, 64, 3790, 13838, 355, 11024, 1435, 2429, 289, 12771, 19124, 433, 538, 573, 2773, 74, 1246, 929, 2732, 276, 7417, 877, 253, 871, 27286, 186, 355, 15910, 2496, 186, 355, 52, 17023, 414, 8419, 13838, 355, 18224, 390, 414, 1504, 13838, 355, 10333, 22640, 1892, 186, 355, 4547, 623, 2495, 15409, 366, 4265, 276, 2309, 282, 4899, 274, 4019, 16611, 253, 17070, 186, 355, 3258, 3224, 2867, 345, 566, 18, 24751, 15039, 186, 355, 18724, 1725, 1544, 1666, 345, 566, 19, 28162, 271, 15409, 3587, 2736, 285, 2964, 186, 355, 3623, 9755, 186, 355, 55, 567, 5405, 272, 2162, 186, 355, 9344, 252, 1513, 265, 7988, 186, 355, 340, 905, 1354, 1778, 186, 355, 27253, 433, 8766, 327, 1158, 21869, 253, 11237, 272, 253, 1339, 252, 1513, 888, 285, 15946, 2302, 345, 253, 31373, 66, 186, 355, 13601, 572, 253, 2727, 285, 7158, 3708, 22585, 3761, 13756, 186, 355, 1283, 70, 452, 13116, 186, 355, 3429, 870, 1360, 253, 1339, 252, 1513, 265, 3511, 186, 355, 5973, 84, 1339, 252, 1513, 265, 8372, 7425, 453, 973, 612, 285, 15946, 253, 4536, 30742, 7404, 276, 877, 186, 355, 3440, 20001, 5278, 186, 355, 2828, 2589, 335, 693, 272, 28890, 1845, 70, 9079, 1015, 261, 186, 355, 30366, 17503, 12993, 186, 355, 4756, 3898, 4256, 1834, 9876, 4265, 17503, 366, 9892, 729, 2692, 22585, 3761, 13756, 186, 355, 974, 1123, 255, 13613, 3555, 2799, 13756, 186, 355, 22754, 12993, 186, 355, 8724, 268, 2292, 366, 248, 1773, 3544, 285, 253, 1468, 842, 7404, 186, 355, 36, 15370, 5595, 1478, 1048, 15344, 186, 355, 5897, 315, 2621, 2496, 272, 1565, 335, 462, 47, 186, 355, 51, 4793, 4525, 400, 10669, 9488, 285, 277, 11615, 9740, 4960, 186, 355, 2058, 64, 18, 935, 1387, 400, 10669, 255, 7126, 64, 18, 16, 20, 272, 2081, 1267, 9347, 4433, 1374, 2033, 285, 18970, 272, 1906, 356, 14011, 17005, 680, 355, 5882, 42, 596, 2379, 861, 785, 1363, 650, 935, 272, 11534, 272, 2426, 186, 355, 28147, 1154, 8229, 2017, 382, 1246, 929, 2732, 877, 400, 10669, 433, 29780, 312, 375, 3008, 7456, 186, 355, 52, 13707, 8903, 2017, 382, 270, 1297, 271, 4470, 366, 3008, 7456, 806, 29780, 312, 7456, 448, 64, 20, 3385, 1175, 461, 448, 64, 23, 3385, 186, 355, 21510, 7521, 2017, 382, 414, 5882, 42, 9488, 285, 4265, 7158, 12993, 448, 64, 23, 289, 64, 1058, 3385, 186, 355, 38, 9516, 319, 1845, 25246, 1048, 15344, 186, 355, 15451, 1996, 1223, 6172, 276, 2727, 3955, 6296, 3957, 448, 64, 1058, 3385, 255, 28739, 276, 31373, 66, 2091, 186, 355, 40, 334, 1313, 23004, 2017, 382, 414, 8938, 1186, 22044, 2103, 6242, 272, 2426, 448, 64, 18, 935, 255, 3019, 1186, 252, 64, 22, 1233, 186, 355, 1799, 4330, 1540, 10156, 1906, 2273, 366, 5527, 21311, 696, 276, 783, 2162, 26771, 335, 4490, 186, 355, 3737, 4399, 255, 19172, 13583, 1387, 5527, 9740, 409, 394, 10298, 9347, 2023, 186, 355, 10568, 74, 999, 9678, 416, 3006, 312, 186, 355, 23971, 15252, 2017, 382, 414, 10104, 542, 4793, 1246, 248, 4470, 453, 11480, 23160, 247, 9740, 725, 285, 64, 21, 4490, 1387, 253, 4535, 186, 355, 9386, 2081, 891, 1168, 4192, 80, 378, 3886, 255, 3982, 15, 24, 1186, 4760, 4324, 1906, 2072, 289, 64, 2950, 15, 19, 1186, 7874, 4112, 1906, 186, 355, 58, 2408, 7853, 2489, 26114, 23262, 6354, 356, 58, 7683, 406, 77, 5697, 186, 355, 40, 317, 633, 2017, 382, 1246, 1628, 7683, 7403, 3699, 285, 2022, 3008, 4471, 255, 27689, 276, 248, 29809, 2429, 186, 355, 26641, 8460, 81, 32680, 2890, 1216, 22400, 14344, 186, 355, 35, 14687, 1048, 15344, 186, 355, 465, 248, 1324, 14336, 1190, 255, 3200, 1186, 999, 2081, 3955, 6172, 276, 2426, 448, 64, 20, 3385, 186, 355, 29263, 1845, 8724, 186, 355, 30366, 17503, 366, 991, 423, 1847, 186, 355, 28928, 1087, 7573, 22585, 3761, 186, 355, 13362, 1938, 6258, 6911, 642, 14969, 186, 355, 27584, 272, 16192, 2374, 186, 355, 52, 14581, 4433, 1374, 356, 798, 428, 30080, 680, 3030, 5764, 289, 11524, 918, 285, 15857, 186, 355, 16718, 13744, 409, 2487, 5346, 861, 26203, 2023, 543, 785, 186, 355, 859, 2309, 282, 2023, 255, 11486, 9739, 335, 9347, 11194, 285, 14709, 1485, 4423, 2353, 13744, 186, 10092, 285, 15857, 1845, 9709, 186, 355, 17198, 84, 285, 326, 8960, 186, 1799, 4330, 289, 1369, 4325, 2385, 186, 355, 7882, 9165, 4513, 186, 355, 12408, 3610, 285, 582, 1811, 366, 16192, 3957, 799, 253, 1807, 313, 7643, 276, 800, 2240, 6211, 356, 14011, 17005, 680, 355, 52, 14581, 4513, 186, 355, 2208, 544, 285, 2768, 285, 11719, 186, 355, 52, 10912, 7567, 7247, 24690, 18774, 414, 7348, 3343, 5024, 15, 1201, 2780, 3795, 17513, 3411, 16, 1639, 14, 18929, 14455, 2502, 15811, 355, 37, 21489, 8121, 599, 255, 271, 2054, 270, 25310, 858, 345, 1103, 2024, 255, 67, 445, 454, 255, 344, 4028, 272, 24267, 289, 253, 2147, 2374, 272, 253, 4020, 270, 13781, 414, 3608, 81, 5611, 6083, 10707, 484, 649, 11796, 22, 186, 355, 46, 553, 255, 46, 270, 52, 1353, 51, 270, 1427, 324, 69, 73, 1755, 255, 332, 542, 270, 23419, 6198, 46, 441, 25936, 31373, 66, 414, 17513, 272, 18456, 255, 10875, 521, 1957, 1096, 255, 332, 6041, 5192, 16461, 9696, 4385, 64, 10503, 15, 20, 356, 2478, 18, 3321, 22454, 5774, 1204, 314, 355, 2687, 526, 4188, 876, 255, 51, 5543, 7822, 2632, 52, 255, 35, 4972, 4153, 876, 255, 27903, 2445, 255, 28965, 90, 5555, 1759, 2671, 516, 270, 46, 28293, 554, 31373, 66, 270, 4566, 876, 25824, 290, 1527, 319, 270, 971, 17, 28, 14668, 9, 20, 6382, 4553, 26, 70, 4269, 20, 270, 7348, 3343, 7773, 4649, 16, 728, 15, 23406, 21, 1845, 1667, 83, 15, 14668, 15, 20, 15, 14668, 17, 4553, 26, 314, 355, 59, 260, 12121, 74, 462, 255, 1038, 250, 73, 286, 876, 44, 255, 59, 319, 1954, 254, 610, 255, 41, 361, 2213, 876, 270, 46, 28293, 31373, 66, 289, 4392, 276, 253, 731, 3350, 252, 1513, 265, 275, 3432, 3221, 345, 18802, 3587, 272, 64, 3200, 31687, 18111, 270, 10568, 4385, 270, 1605, 24, 28, 12898, 9, 19, 795, 7348, 3343, 7773, 4649, 16, 728, 15, 15237, 25, 16, 2185, 4385, 15, 12898, 15, 19, 15, 28058, 21, 1298, 22, 314, 355, 46, 553, 9612, 525, 255, 41, 3356, 370, 538, 59, 255, 28147, 78, 606, 2632, 255, 52, 1318, 388, 2890, 2101, 322, 462, 255, 16698, 553, 393, 255, 40, 9848, 7185, 532, 270, 38, 27685, 272, 400, 15370, 5595, 1478, 1048, 15344, 31703, 398, 19864, 272, 14915, 282, 5723, 19268, 5329, 24809, 66, 5315, 272, 27473, 414, 3578, 255, 1777, 19715, 25420, 729, 8607, 270, 7773, 27, 728, 15, 29589, 20, 1845, 39, 10371, 15, 993, 19, 15, 17, 7033, 19, 314, 355, 28147, 1154, 8229, 525, 255, 27461, 76, 717, 260, 462, 255, 35, 29789, 542, 255, 35, 12323, 646, 462, 270, 7581, 22500, 5995, 272, 3966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 55, 8660, 5468, 11607, 1082, 960, 12317, 360, 476, 9064, 248, 1831, 1247, 11607, 255, 4789, 650, 11213, 697, 64, 2813, 1186, 25446, 21000, 960, 34, 1199, 2343, 1119, 285, 1879, 277, 1350, 1811, 1247, 6553, 313, 285, 16575, 253, 11662, 272, 1082, 960, 4789, 1247, 6553, 289, 2849, 253, 1247, 341, 5152, 253, 905, 20963, 270, 600, 5405, 11376, 1714, 1247, 6553, 1082, 960, 262, 1747, 248, 2205, 17692, 1247, 6553, 5239, 5241, 22230, 363, 21964, 1082, 5241, 1185, 30615, 1082, 5241, 1185, 30615, 18925, 9564, 363, 528, 85, 5239, 960, 340, 1387, 2902, 6666, 289, 23311, 248, 17692, 1247, 6553, 276, 7061, 17054, 14, 6739, 255, 738, 9132, 272, 1082, 960, 11097, 6519, 1247, 11607, 1082, 2236, 1161, 15129, 15, 12428, 5076, 989, 6233, 1136, 7991, 1082, 2236, 1161, 15129, 7795, 29012, 1343, 989, 1039, 30208, 5239, 57, 255, 90, 580, 6795, 30208, 3920, 4903, 30, 4066, 255, 24761, 30, 17, 15, 1428, 255, 9742, 1402, 30, 5322, 2754, 57, 6233, 255, 57, 1136, 255, 90, 6233, 255, 90, 1136, 580, 21774, 1136, 7991, 13212, 255, 90, 255, 9742, 1402, 30, 5322, 9255, 2236, 1161, 15129, 15, 1544, 19368, 989, 25098, 13916, 303, 7574, 6553, 1082, 2236, 1161, 15129, 15, 1544, 19368, 989, 987, 8660, 7574, 6553, 1082, 2236, 1161, 15129, 15, 8082, 1222, 989, 10450, 2070, 5444, 1592, 1082, 2236, 1161, 15129, 5799, 87, 78, 989, 393, 28484, 5239, 5461, 584, 71, 580, 10736, 2070, 5444, 1592, 9, 9742, 1402, 30, 5322, 2754, 83, 387, 584, 71, 580, 20706, 13916, 303, 7574, 6553, 9, 9742, 1402, 30, 5322, 2754, 11728, 78, 584, 71, 580, 20179, 36, 9, 9742, 1402, 30, 5322, 9255, 87, 8660, 584, 71, 580, 55, 8660, 7574, 6553, 9, 1082, 339, 408, 317, 2045, 16763, 3242, 77, 83, 3410, 5461, 584, 71, 823, 3242, 83, 71, 3410, 83, 387, 584, 71, 823, 3242, 11728, 68, 3410, 11728, 78, 584, 71, 10, 11909, 1082, 339, 87, 8660, 10511, 11571, 8, 9255, 87, 8660, 584, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 9255, 960, 2927, 554, 1900, 448, 973, 1247, 6553, 554, 5995, 345, 253, 1136, 1031, 3758, 2236, 1161, 15129, 15, 14579, 84, 989, 5995, 5694, 5239, 475, 584, 71, 276, 356, 5461, 584, 71, 255, 83, 387, 584, 71, 255, 11728, 78, 584, 71, 255, 87, 8660, 584, 71, 7944, 339, 537, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 2754, 339, 90, 2019, 580, 537, 71, 4858, 9879, 13212, 1136, 2754, 339, 1380, 9, 537, 71, 8154, 3934, 288, 8154, 3011, 288, 255, 25446, 5694, 12189, 1136, 255, 90, 2019, 10, 9255, 960, 10736, 2070, 5444, 1592, 64, 17, 15, 25, 4553, 1082, 960, 20706, 13916, 303, 7574, 6553, 64, 17, 15, 25, 7033, 1082, 960, 20179, 36, 64, 17, 15, 6087, 25, 1082, 960, 55, 8660, 7574, 6553, 64, 17, 15, 6652, 23, 5239, 960, 340, 17692, 1247, 6553, 6304, 642, 457, 11577, 632, 253, 1430, 1247, 11607, 15, 5239, 960, 859, 632, 1247, 11607, 359, 1865, 285, 6200, 1247, 16547, 356, 74, 3031, 1353, 1449, 476, 248, 621, 1082, 960, 11860, 2198, 66, 6471, 12435, 823, 1660, 360, 409, 3338, 7061, 17054, 14, 6739, 285, 2849, 253, 1247, 366, 253, 1082, 960, 73, 330, 4698, 1247, 4432, 255, 15008, 3015, 806, 632, 253, 1430, 1247, 11607, 270, 600, 313, 1747, 2355, 1082, 960, 87, 8660, 5239, 5461, 584, 71, 580, 10736, 2070, 5444, 1592, 9, 9742, 1402, 30, 5322, 2754, 83, 387, 584, 71, 580, 20706, 13916, 303, 7574, 6553, 9, 9742, 1402, 30, 5322, 2754, 11728, 78, 584, 71, 580, 20179, 36, 9, 28748, 23569, 255, 9742, 1402, 30, 5322, 9255, 87, 8660, 584, 71, 580, 55, 8660, 7574, 6553, 9, 1082, 339, 408, 317, 2045, 16763, 3242, 77, 83, 3410, 5461, 584, 71, 823, 3242, 83, 71, 3410, 83, 387, 584, 71, 823, 3242, 11728, 68, 3410, 11728, 78, 584, 71, 10, 11909, 1082, 339, 87, 8660, 10511, 6550, 18510, 87, 8660, 584, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 9255, 2236, 1161, 15129, 15, 14579, 84, 989, 5995, 5694, 5239, 475, 584, 71, 276, 356, 5461, 584, 71, 255, 83, 387, 584, 71, 255, 11728, 78, 584, 71, 255, 87, 8660, 584, 71, 7944, 339, 537, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 2754, 339, 90, 2019, 580, 537, 71, 4858, 9879, 13212, 1136, 2754, 339, 1380, 9, 537, 71, 8154, 3934, 288, 8154, 3011, 288, 255, 25446, 5694, 12189, 1136, 255, 90, 2019, 10, 9255, 960, 10736, 2070, 5444, 1592, 64, 17, 15, 25, 4553, 1082, 960, 20706, 13916, 303, 7574, 6553, 64, 17, 15, 25, 7033, 1082, 960, 20179, 36, 64, 17, 15, 6087, 25, 1082, 960, 55, 8660, 7574, 6553, 64, 17, 15, 26, 1058, 24181, 4, 6, 1186, 35, 31586, 289, 452, 11566, 1082, 960, 4514, 2023, 313, 285, 693, 253, 1112, 2799, 4876, 335, 1255, 1082, 960, 13580, 263, 255, 772, 285, 6233, 713, 345, 902, 3540, 24585, 272, 253, 2799, 1031, 270, 1316, 1082, 960, 84, 32737, 313, 3760, 366, 9893, 255, 1662, 1135, 313, 1747, 9350, 3799, 21000, 960, 1316, 9363, 313, 3760, 1655, 9893, 255, 264, 313, 1747, 2560, 268, 5239, 960, 340, 1387, 2902, 23311, 277, 1082, 960, 1544, 19368, 272, 64, 4066, 24125, 13732, 1247, 11607, 13, 22, 973, 9064, 345, 64, 1504, 2799, 9842, 12735, 1082, 960, 84, 353, 7049, 453, 253, 2799, 1031, 366, 9893, 356, 1662, 313, 277, 1123, 272, 9350, 3799, 13, 1082, 960, 772, 861, 360, 1599, 285, 693, 2560, 268, 4010, 255, 2401, 1031, 17615, 303, 1564, 32106, 795, 340, 309, 8657, 7347, 1082, 960, 85, 6971, 7061, 17054, 14, 6739, 253, 966, 272, 15662, 22497, 285, 693, 335, 2799, 289, 11662, 1082, 4, 356, 1469, 18, 8868, 7061, 17054, 14, 6739, 285, 693, 632, 1895, 22497, 9255, 2236, 1161, 15129, 15, 1544, 19368, 989, 538, 31586, 7574, 6553, 1082, 2236, 1161, 15129, 7005, 688, 989, 24125, 14268, 7574, 6553, 5239, 32453, 584, 71, 580, 35, 31586, 7574, 6553, 9, 1082, 339, 7016, 1374, 14268, 7574, 6553, 9, 9742, 1402, 30, 5322, 823, 79, 3371, 2045, 30, 4066, 13, 1082, 339, 5355, 4903, 30, 1504, 255, 67, 2502, 303, 1564, 23569, 255, 79, 8657, 30, 18, 255, 9742, 1402, 30, 5322, 9255, 32453, 584, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 2754, 90, 2019, 580, 32453, 584, 71, 4858, 9879, 13212, 1136, 9255, 1380, 9, 25446, 5694, 12189, 1136, 255, 90, 2019, 14642, 960, 17, 15, 2857, 21, 5239, 18508, 584, 71, 580, 7016, 1374, 14268, 7574, 6553, 9, 9742, 1402, 30, 5322, 2754, 18508, 584, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 2754, 90, 2019, 3481, 580, 18508, 584, 71, 4858, 9879, 13212, 1136, 2754, 1380, 9, 25446, 5694, 12189, 1136, 255, 90, 2019, 3481, 14642, 960, 17, 15, 5050, 23, 5239, 960, 3244, 4197, 253, 3767, 9617, 272, 248, 2167, 24125, 13732, 366, 253, 3767, 1082, 960, 14551, 592, 272, 248, 9350, 3799, 29438, 272, 64, 4066, 4493, 5239, 2236, 1185, 30615, 15, 30205, 989, 599, 10977, 5129, 1106, 547, 5239, 1787, 6875, 3767, 9617, 9, 537, 71, 255, 57, 255, 90, 255, 1064, 261, 30, 14568, 18, 15, 22, 255, 19, 15, 22, 9346, 18, 255, 18, 15, 22, 4048, 8750, 30, 17, 15, 22, 255, 2542, 485, 23569, 7944, 339, 89, 18, 84, 580, 8849, 19307, 1054, 15672, 9, 1064, 261, 60, 17, 4048, 1064, 261, 60, 18, 4048, 1504, 2754, 339, 89, 19, 84, 580, 8849, 19307, 1054, 15672, 9, 1064, 261, 60, 19, 4048, 1064, 261, 60, 20, 4048, 1504, 2754, 339, 89, 18, 255, 89, 19, 580, 8849, 15, 8158, 73, 20980, 2615, 18, 84, 255, 89, 19, 84, 2754, 339, 57, 892, 580, 8849, 8345, 1726, 89, 18, 15, 22008, 22266, 89, 19, 15, 22008, 5785, 13640, 339, 90, 2019, 580, 537, 71, 4858, 9879, 13212, 892, 4264, 4577, 1971, 2615, 18, 27176, 2754, 339, 17813, 4516, 547, 580, 5292, 271, 5129, 1106, 547, 9, 7985, 4, 71, 2369, 378, 17, 11483, 4, 26, 6652, 25, 501, 11483, 4, 66, 17, 71, 12723, 17, 18046, 2754, 339, 12133, 15, 2542, 485, 71, 2615, 18, 255, 89, 19, 255, 90, 2019, 255, 8750, 30, 17, 15, 20, 255, 7057, 547, 30, 17813, 4516, 547, 2754, 339, 347, 27363, 3758, 491, 17813, 4516, 547, 19, 580, 5292, 271, 5129, 1106, 547, 9, 7985, 4, 24, 69, 24, 69, 6923, 11483, 4, 21, 68, 21, 68, 24, 71, 11483, 4, 1489, 24, 69, 1489, 18046, 2754, 491, 12133, 15, 2542, 485, 2615, 18, 255, 89, 19, 255, 90, 2019, 255, 7057, 547, 30, 17813, 4516, 547, 19, 255, 8750, 30, 17, 15, 25, 2754, 339, 12133, 31103, 13212, 16235, 255, 17, 5031, 90, 1945, 17, 4048, 57, 16235, 255, 18, 5031, 90, 1945, 17, 62, 3929, 25877, 2881, 8750, 30, 8750, 2754, 339, 12133, 31103, 13212, 16235, 255, 17, 5031, 90, 1945, 18, 4048, 57, 16235, 255, 18, 5031, 90, 1945, 18, 62, 3929, 1723, 2881, 8750, 30, 8750, 2754, 339, 12133, 15, 8184, 9, 1064, 261, 2754, 339, 12133, 11288, 13050, 17068, 3, 5, 89, 64, 18, 5, 2881, 71, 22762, 986, 30, 1212, 2754, 339, 12133, 15, 2123, 7109, 17068, 3, 5, 89, 64, 19, 5, 2881, 71, 22762, 986, 30, 1212, 255, 7551, 312, 30, 17, 9255, 12133, 12352, 1870, 6133, 330, 9431, 14492, 1298, 13, 21, 14642, 12133, 15441, 9564, 9, 14070, 2754, 9564, 3767, 9617, 5195, 688, 584, 71, 255, 57, 255, 90, 2754, 12133, 31162, 2265, 7016, 1374, 13732, 2881, 71, 22762, 986, 30, 1499, 2754, 12133, 15441, 9564, 9, 14688, 2754, 9564, 3767, 9617, 6814, 489, 584, 71, 255, 57, 255, 90, 2754, 12133, 31162, 2265, 7016, 1374, 32763, 366, 538, 31586, 2881, 71, 22762, 986, 30, 1499, 2754, 12133, 28688, 12721, 5239, 960, 6549, 6789, 5926, 489, 19076, 1082, 960, 2056, 9350, 3799, 255, 3591, 9842, 672, 326, 23568, 2032, 1915, 335, 818, 1687, 24887, 13, 1082, 960, 2003, 2165, 672, 461, 326, 23568, 448, 632, 270, 340, 9842, 341, 359, 461, 1082, 960, 84, 353, 7049, 359, 1747, 642, 6789, 1333, 489, 356, 681, 67, 406, 247, 6579, 21000, 960, 465, 7061, 17054, 14, 6739, 255, 1129, 409, 1031, 256, 868, 5694, 23569, 799, 4383, 248, 538, 31586, 7574, 6553, 285, 1082, 960, 1653, 408, 277, 11339, 256, 868, 4890, 1253, 2799, 15, 5239, 32453, 584, 71, 580, 35, 31586, 7574, 6553, 9, 7016, 1374, 14268, 7574, 6553, 22266, 79, 3371, 2045, 30, 4066, 13, 1082, 17426, 67, 2502, 303, 1564, 23569, 255, 79, 8657, 30, 18, 255, 681, 67, 5694, 23569, 2754, 32453, 584, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 2754, 1380, 2265, 681, 67, 5694, 288, 30, 2881, 32453, 584, 71, 15, 681, 67, 5694, 64, 2754, 960, 681, 67, 5694, 288, 509, 17, 15, 6652, 23, 5239, 960, 4001, 285, 480, 256, 868, 4890, 255, 1662, 538, 31586, 7574, 6553, 313, 2237, 285, 3235, 697, 1082, 960, 6652, 15, 23, 1186, 25446, 345, 253, 1136, 1031, 270, 2927, 554, 12196, 480, 5239, 2236, 1161, 15129, 15, 14579, 84, 989, 5995, 5694, 1082, 90, 2019, 580, 32453, 584, 71, 4858, 9879, 13212, 1136, 2754, 25446, 5694, 12189, 1136, 255, 90, 2019, 2754, 960, 6549, 60, 24, 13644, 17, 15, 6652, 23, 5239, 32453, 584, 71, 15, 681, 67, 3767, 1295, 64, 24181, 4, 6, 1186, 20706, 9068, 7339, 1082, 960, 66, 25098, 16760, 313, 277, 29438, 272, 24125, 32763, 255, 18433, 1082, 960, 9288, 1142, 3629, 253, 9350, 3799, 1135, 356, 263, 4034, 2560, 268, 823, 13775, 366, 2759, 4903, 1082, 960, 2717, 285, 253, 2091, 272, 253, 2799, 1031, 5239, 2236, 1161, 15129, 15, 1544, 19368, 989, 25098, 13916, 303, 7574, 6553, 5239, 83, 387, 584, 71, 580, 20706, 13916, 303, 7574, 6553, 3920, 3371, 2045, 30, 4066, 255, 5355, 8126, 6897, 30, 1456, 255, 79, 8657, 30, 18, 255, 9742, 1402, 30, 5322, 2754, 83, 387, 584, 71, 15, 7656, 13212, 6233, 255, 90, 6233, 9255, 90, 2019, 436, 71, 580, 83, 387, 584, 71, 4858, 9879, 13212, 1136, 9255, 960, 340, 1387, 538, 31586, 7574, 6553, 313, 1082, 960, 770, 315, 5876, 285, 253, 2643, 25098, 13916, 303, 7574, 6553, 5239, 32453, 584, 71, 580, 35, 31586, 7574, 6553, 9, 1082, 339, 7016, 1374, 14268, 7574, 6553, 3838, 5231, 368, 6873, 9742, 2881, 5355, 8126, 6897, 30, 1456, 255, 9742, 1402, 30, 5322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 10096, 19211, 64, 993, 26, 3695, 11667, 272, 18907, 28525, 356, 1916, 6949, 406, 14759, 4096, 2838, 341, 64, 3716, 1186, 999, 253, 5842, 554, 1172, 1315, 2151, 253, 24131, 6949, 18167, 1115, 270, 1452, 255, 3106, 917, 313, 929, 10576, 6563, 5848, 335, 2151, 18167, 255, 7550, 2045, 289, 30929, 3731, 1030, 345, 253, 2646, 272, 253, 2873, 9530, 341, 755, 1172, 3336, 270, 1283, 870, 6162, 480, 7794, 255, 581, 7279, 878, 453, 253, 64, 993, 25, 24131, 6949, 748, 1398, 12459, 15640, 1240, 1190, 270, 959, 1140, 341, 255, 12889, 366, 1172, 891, 1315, 448, 253, 24131, 6949, 18167, 1115, 289, 1861, 255, 6351, 891, 1315, 2151, 24131, 6949, 18167, 1115, 359, 1331, 596, 2237, 285, 476, 4256, 6232, 2873, 27017, 289, 2285, 2873, 2335, 314, 1099, 16390, 797, 11424, 18167, 802, 12770, 345, 24131, 6949, 12459, 879, 12988, 566, 40, 255, 52, 378, 5046, 74, 30690, 255, 12988, 393, 270, 1099, 16390, 797, 11424, 18167, 802, 12770, 345, 24131, 6949, 12459, 911, 25423, 2235, 587, 9663, 270, 18037, 64, 2478, 18, 270, 7773, 27, 728, 15, 21079, 19, 16, 8457, 32130, 26, 57, 21541, 17, 4293, 15028, 186, 20790, 1421, 2582, 251, 312, 313, 11164, 29140, 730, 28948, 8722, 2582, 251, 312, 335, 15528, 30550, 741, 7563, 391, 285, 6199, 1311, 1248, 71, 16344, 16610, 186, 52, 350, 258, 322, 462, 270, 40, 251, 91, 1318, 91, 6932, 11337, 1790, 23688, 12363, 400, 270, 38, 73, 541, 356, 16006, 64, 2478, 17, 406, 20790, 1421, 2582, 251, 312, 313, 11164, 29140, 730, 28948, 8722, 2582, 251, 312, 335, 15528, 30550, 741, 7563, 391, 285, 6199, 1311, 1248, 71, 16344, 16610, 255, 19377, 8653, 272, 12459, 270, 24578, 414, 728, 15, 10653, 17, 16, 10653, 6087, 21, 3982, 15, 2478, 17, 15, 14589, 23, 3019, 17, 186, 5397, 2142, 272, 30756, 5587, 724, 3510, 270, 17682, 724, 2505, 955, 455, 3580, 891, 10378, 4300, 6287, 1175, 1109, 461, 1237, 1311, 1602, 5674, 270, 340, 6982, 271, 12276, 312, 1778, 7228, 1172, 285, 7043, 1125, 81, 1056, 261, 285, 12276, 388, 261, 433, 12115, 253, 5464, 4918, 12557, 1009, 84, 1019, 12723, 66, 1019, 23867, 79, 13691, 8784, 31746, 270, 340, 4245, 12276, 312, 1778, 7228, 1172, 285, 32708, 12276, 388, 261, 1655, 12115, 253, 5464, 4918, 12557, 1009, 84, 12723, 2150, 79, 13691, 8784, 31746, 270, 340, 19891, 36, 1602, 5674, 7999, 2730, 417, 22857, 1075, 341, 1109, 326, 23375, 289, 4245, 270, 10434, 1524, 285, 17951, 255, 6351, 6243, 248, 3976, 3941, 285, 1237, 1311, 19891, 6528, 366, 3214, 22857, 1075, 341, 359, 10716, 285, 15516, 1262, 272, 500, 19228, 453, 5057, 13701, 27493, 270, 8830, 4525, 341, 4245, 12276, 312, 2799, 24616, 1524, 285, 1237, 1311, 363, 1020, 363, 2873, 1602, 5674, 9160, 345, 253, 3976, 3941, 3510, 285, 6982, 271, 12276, 312, 2799, 270, 1173, 3894, 1780, 6658, 341, 12115, 877, 12276, 388, 261, 3318, 1172, 285, 9193, 3634, 12276, 388, 261, 1305, 31746, 270, 3797, 789, 2122, 811, 285, 5304, 30756, 596, 4881, 314, 14815, 14536, 1209, 289, 253, 1480, 272, 9693, 289, 1952, 10576, 453, 15794, 882, 1508, 4936, 186, 45, 11506, 516, 270, 11586, 451, 1808, 255, 10245, 23243, 876, 270, 24649, 6311, 255, 51, 18784, 452, 270, 35, 324, 1847, 255, 332, 24534, 30017, 876, 270, 18620, 23136, 270, 14815, 14536, 1209, 289, 253, 1480, 272, 9693, 289, 1952, 10576, 453, 15794, 882, 1508, 4936, 270, 11602, 30056, 3818, 3265, 7473, 315, 356, 16473, 64, 993, 25, 795, 7348, 3343, 7773, 4649, 16, 728, 15, 6291, 23, 13488, 15, 446, 383, 82, 15, 993, 25, 15, 6858, 15, 21989, 186, 600, 1190, 1246, 341, 1404, 891, 6598, 2095, 14536, 1209, 5220, 1168, 2031, 1952, 289, 9693, 2335, 3442, 15794, 285, 1508, 4936, 270, 3091, 6390, 255, 587, 4303, 2095, 14536, 1209, 29580, 724, 2273, 366, 1213, 2031, 1943, 289, 5220, 1480, 272, 1213, 30756, 289, 2873, 14043, 255, 772, 461, 5684, 1480, 270, 7734, 366, 2240, 2095, 14536, 1209, 29580, 2511, 12276, 1525, 6344, 5220, 730, 1288, 366, 4674, 2095, 14536, 1209, 29580, 270, 5426, 255, 9790, 366, 2240, 2095, 14536, 1209, 29580, 1168, 2031, 1943, 272, 9036, 730, 1404, 366, 11635, 29580, 255, 772, 1822, 461, 9151, 345, 253, 2087, 375, 11469, 272, 9036, 1480, 270, 3797, 789, 1120, 285, 253, 28301, 289, 21543, 2646, 272, 2095, 14536, 1209, 289, 1404, 554, 1952, 289, 9693, 1480, 314, 1038, 21444, 23539, 289, 566, 14271, 23539, 24078, 414, 8494, 15385, 4094, 285, 24366, 24056, 265, 28854, 781, 186, 52, 8576, 1954, 255, 45, 278, 858, 2206, 587, 270, 1038, 21444, 23539, 289, 566, 14271, 23539, 24078, 414, 8494, 15385, 4094, 285, 24366, 24056, 265, 28854, 781, 356, 17391, 64, 2253, 255, 993, 25, 795, 16226, 2064, 946, 1256, 10326, 414, 12946, 414, 6577, 3461, 414, 20, 255, 11530, 3838, 3321, 993, 14, 21541, 270, 7348, 3343, 7773, 4649, 16, 728, 15, 16071, 24, 16, 22494, 21989, 3547, 18, 24, 3328, 32185, 17, 186, 34, 1774, 4509, 272, 11462, 9693, 356, 10791, 406, 23189, 2859, 979, 11437, 255, 8066, 1435, 255, 332, 21428, 3663, 272, 9693, 448, 2593, 1943, 2677, 653, 251, 388, 261, 255, 12996, 1469, 20557, 4445, 255, 1615, 732, 544, 3880, 255, 21162, 81, 1056, 261, 255, 87, 7549, 255, 84, 22120, 2115, 255, 1411, 7424, 2115, 255, 332, 1771, 2115, 270, 10791, 313, 5453, 1020, 15283, 285, 1172, 366, 7676, 26829, 1262, 396, 3233, 9332, 556, 4438, 18262, 276, 12276, 1525, 2335, 255, 5932, 5354, 255, 332, 13208, 270, 859, 7152, 276, 566, 1386, 64, 18, 5587, 289, 32126, 1087, 9006, 255, 10791, 3897, 672, 652, 2071, 375, 881, 350, 1455, 369, 248, 2692, 1684, 272, 612, 2873, 9530, 314, 11105, 268, 253, 12459, 20409, 414, 14759, 4500, 373, 9492, 13462, 14483, 625, 285, 24923, 186, 32092, 815, 255, 34, 1353, 51, 567, 286, 255, 44, 16414, 47, 312, 255, 44, 1683, 993, 25, 795, 11105, 268, 253, 12459, 20409, 414, 14759, 4500, 373, 9492, 13462, 14483, 625, 285, 24923, 270, 14197, 1525, 3862, 276, 253, 8321, 18718, 255, 683, 9, 18, 823, 22, 1469, 6577, 270, 7348, 3343, 7773, 4649, 16, 728, 15, 16071, 24, 16, 16825, 26, 728, 17, 7498, 25, 5870, 28227, 18, 186, 34, 6021, 13253, 2429, 272, 253, 2554, 272, 1524, 285, 1179, 255, 25470, 741, 453, 1404, 554, 13064, 382, 653, 13820, 2335, 882, 285, 253, 2105, 290, 2285, 6787, 289, 13047, 1771, 14043, 8385, 272, 5271, 6925, 270, 340, 4220, 2863, 2096, 31665, 5587, 313, 705, 3884, 285, 1524, 276, 248, 2697, 746, 942, 363, 2926, 270, 1245, 652, 2429, 253, 1251, 345, 904, 4093, 1404, 777, 285, 1636, 285, 1940, 5271, 6925, 289, 8527, 811, 480, 1560, 326, 14644, 721, 2379, 4717, 2439, 270, 340, 4220, 1282, 335, 277, 1275, 285, 253, 2873, 15965, 289, 4046, 277, 16830, 335, 5587, 289, 1251, 276, 2873, 11177, 341, 313, 10088, 255, 13289, 753, 8533, 255, 332, 1625, 345, 248, 3422, 2204, 272, 811, 1952, 289, 2697, 1716, 867, 314, 465, 1111, 271, 13208, 276, 21080, 363, 248, 24887, 272, 2873, 289, 13208, 276, 11549, 64, 18, 186, 600, 1190, 8485, 2572, 253, 10943, 386, 1607, 272, 1404, 554, 16212, 13730, 789, 276, 21080, 543, 15763, 272, 7696, 2873, 289, 13208, 276, 11549, 64, 18, 255, 2003, 652, 8527, 253, 3782, 272, 1020, 11659, 32354, 270, 7734, 276, 556, 965, 935, 272, 23427, 724, 9706, 345, 3957, 272, 6232, 9036, 255, 265, 653, 13820, 2010, 255, 653, 251, 1525, 6344, 255, 2787, 2873, 255, 332, 16212, 13208, 649, 20248, 650, 935, 2770, 640, 724, 9706, 345, 2593, 3957, 272, 2873, 289, 13208, 270, 340, 3498, 1246, 248, 1580, 1515, 453, 16212, 13208, 5045, 285, 5135, 2873, 7863, 448, 253, 1275, 272, 965, 4936, 270, 340, 1190, 5190, 341, 16212, 13208, 27167, 12276, 1525, 289, 8766, 4773, 2283, 289, 313, 248, 3145, 24887, 272, 2283, 276, 2240, 2873, 2335, 255, 1467, 289, 1861, 1404, 554, 13620, 2010, 289, 12276, 1525, 6344, 314, 27433, 289, 4008, 751, 2142, 272, 2873, 5587, 1018, 24552, 289, 8325, 4471, 276, 277, 8307, 8766, 3536, 186, 28505, 255, 7913, 30955, 649, 37, 18371, 255, 32288, 649, 51, 567, 286, 255, 44, 796, 23163, 270, 27433, 289, 4008, 751, 2142, 272, 2873, 5587, 1018, 24552, 289, 8325, 4471, 276, 277, 8307, 8766, 3536, 356, 16473, 64, 643, 255, 993, 24, 406, 8194, 272, 31961, 15795, 414, 10082, 314, 600, 1190, 4525, 341, 1524, 285, 1179, 433, 3458, 268, 642, 1909, 356, 66, 3663, 1135, 1724, 363, 31665, 406, 3489, 248, 12866, 1869, 345, 253, 5995, 272, 2873, 26155, 289, 14043, 270, 10840, 6034, 2572, 1524, 285, 1179, 433, 3458, 268, 642, 1909, 313, 596, 2379, 730, 11004, 345, 2753, 14, 2787, 13250, 270, 465, 1460, 285, 2230, 253, 6899, 272, 1018, 31665, 253, 3498, 9064, 4478, 285, 1179, 276, 248, 892, 1952, 255, 1380, 271, 276, 23239, 9190, 255, 332, 1232, 4651, 556, 1524, 366, 2873, 3642, 289, 2066, 17230, 270, 340, 1528, 724, 15509, 649, 6890, 891, 1168, 5923, 345, 253, 13250, 272, 253, 892, 1909, 724, 1331, 1319, 5167, 276, 2873, 26155, 289, 14043, 730, 1288, 891, 1168, 785, 31665, 255, 332, 253, 15409, 17230, 7180, 341, 556, 13008, 1168, 285, 867, 10716, 285, 1237, 7858, 904, 640, 724, 2873, 270, 8830, 2122, 341, 2240, 9693, 2356, 939, 1939, 345, 253, 9763, 781, 1309, 276, 3293, 3665, 1542, 695, 4445, 276, 382, 653, 13820, 5816, 255, 6201, 730, 3663, 3368, 2566, 3671, 255, 247, 1460, 285, 5013, 1213, 2873, 26155, 289, 14043, 272, 3241, 1909, 314, 340, 16784, 272, 5012, 1610, 20163, 14296, 345, 7048, 14611, 186, 44, 7363, 462, 29513, 2017, 382, 270, 340, 16784, 272, 5012, 1610, 20163, 14296, 345, 7048, 14611, 414, 21912, 10223, 453, 253, 8607, 272, 7048, 709, 5012, 1610, 20163, 14296, 5746, 356, 16006, 64, 993, 24, 795, 17660, 255, 10953, 414, 7395, 24757, 335, 3818, 314, 600, 1190, 7180, 341, 7048, 1172, 891, 21491, 31197, 21080, 724, 596, 9748, 276, 253, 1524, 901, 289, 1811, 6099, 335, 3750, 289, 2873, 799, 640, 10404, 21080, 730, 1404, 891, 1822, 461, 270, 5678, 1610, 21080, 3036, 285, 2022, 253, 1952, 1480, 272, 2926, 23903, 3580, 289, 3750, 2335, 335, 1730, 19055, 1172, 255, 822, 2845, 1619, 7141, 289, 6142, 6787, 15, 5678, 1610, 21080, 1172, 7508, 596, 5505, 289, 1909, 289, 1168, 248, 1811, 2204, 272, 12276, 1643, 6287, 289, 9036, 799, 11079, 21080, 314, 28231, 8707, 8335, 2384, 1208, 335, 3568, 1909, 313, 10857, 433, 3482, 285, 418, 814, 89, 432, 4175, 1305, 3634, 1524, 186, 58, 251, 3202, 12804, 255, 58, 17710, 1353, 56, 858, 255, 43, 1353, 332, 9182, 36, 332, 77, 952, 255, 35, 270, 28231, 8707, 8335, 2384, 1208, 335, 3568, 1909, 313, 10857, 433, 3482, 285, 418, 814, 89, 432, 4175, 1305, 3634, 1524, 255, 16751, 289, 8374, 255, 6894, 7717, 64, 16486, 1469, 19503, 255, 16006, 1469, 17550, 64, 993, 22, 255, 24657, 64, 2253, 14, 3086, 314, 600, 1190, 9609, 811, 253, 2066, 20845, 285, 902, 2063, 272, 2873, 5587, 270, 8830, 5043, 341, 4423, 6925, 891, 1939, 345, 4300, 1542, 695, 4445, 255, 263, 31665, 255, 8980, 272, 4812, 285, 1636, 2753, 1909, 255, 15075, 2057, 276, 253, 1666, 272, 556, 13008, 1763, 31728, 335, 2873, 270, 1283, 852, 2873, 2335, 255, 21574, 1172, 285, 3458, 642, 953, 36, 8239, 6799, 1045, 1201, 10987, 596, 6980, 2066, 22515, 730, 4396, 268, 713, 285, 12628, 986, 253, 2285, 953, 12586, 5192, 1696, 255, 344, 1190, 1246, 255, 3470, 3663, 10146, 3641, 1223, 725, 1350, 345, 2264, 21888, 366, 253, 2285, 270, 340, 1190, 2421, 783, 272, 253, 965, 2589, 341, 248, 1661, 3663, 4199, 335, 2873, 620, 1580, 8325, 1869, 270, 340, 1251, 1109, 6619, 1357, 285, 1811, 25443, 271, 9006, 285, 870, 15474, 6925, 314, 4181, 480, 2357, 697, 253, 1251, 1190, 414, 16751, 4662, 1190, 2838, 811, 902, 3663, 2142, 1836, 2873, 1480, 314, 6798, 323, 26716, 289, 1072, 11813, 30557, 452, 9879, 2245, 1335, 15385, 4094, 276, 12459, 5479, 760, 276, 4308, 24931, 7563, 391, 186, 39, 336, 31390, 255, 51, 270, 308, 382, 356, 993, 21, 406, 6798, 323, 26716, 289, 1072, 11813, 30557, 452, 9879, 2245, 1335, 15385, 4094, 276, 12459, 5479, 760, 276, 4308, 24931, 7563, 391, 255, 340, 6536, 272, 15790, 9838, 255, 1058, 8675, 64, 993, 21, 255, 3716, 9, 1298, 3321, 2055, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7098, 532, 1979, 253, 1280, 2901, 2129, 248, 21497, 341, 396, 620, 1800, 255, 549, 10886, 2779, 285, 13730, 642, 248, 1831, 272, 713, 1868, 270, 12225, 396, 3036, 861, 360, 476, 1800, 477, 8956, 642, 255, 292, 3857, 3610, 285, 9193, 904, 2018, 359, 1156, 289, 1215, 1939, 345, 253, 892, 408, 255, 2210, 247, 9078, 15552, 289, 11251, 270, 4206, 363, 248, 19892, 255, 42, 1349, 19173, 341, 11251, 359, 461, 2779, 285, 1440, 253, 1280, 270, 3623, 2901, 270, 3623, 276, 818, 16066, 3340, 15127, 255, 42, 1676, 16066, 3340, 15127, 1156, 1119, 314, 14306, 255, 1662, 543, 248, 16625, 30256, 255, 292, 849, 19493, 15552, 289, 11251, 632, 870, 471, 285, 1357, 1811, 289, 596, 9168, 4143, 276, 783, 1119, 270, 1065, 409, 3622, 366, 486, 1114, 2748, 513, 5371, 270, 1065, 409, 6369, 7205, 285, 945, 596, 14205, 315, 270, 4766, 2077, 255, 9275, 755, 27148, 272, 2325, 558, 5742, 23494, 709, 1372, 270, 600, 313, 632, 1825, 270, 1507, 532, 4034, 1979, 341, 11989, 276, 2147, 620, 5083, 9940, 272, 253, 1057, 341, 917, 359, 16066, 3340, 255, 12575, 1498, 1800, 276, 253, 1280, 314, 18, 270, 7768, 400, 25447, 186, 7768, 8157, 375, 1071, 30285, 1633, 341, 14107, 248, 6450, 1844, 272, 945, 356, 2919, 363, 991, 363, 64, 19, 7164, 406, 1554, 3711, 476, 1809, 285, 3156, 1071, 270, 17742, 248, 6450, 1844, 272, 945, 341, 3711, 476, 2512, 335, 556, 3821, 2129, 6198, 2080, 276, 3169, 945, 276, 253, 3504, 1280, 22153, 1809, 285, 4982, 3156, 1071, 356, 66, 6658, 5172, 272, 64, 643, 1462, 383, 22780, 10, 7225, 17732, 956, 10617, 289, 18951, 13572, 272, 253, 2886, 12462, 1436, 31155, 433, 273, 354, 1637, 19, 2945, 32622, 28269, 14563, 3411, 15, 659, 3364, 251, 64, 643, 37, 1241, 53, 353, 1084, 64, 2644, 14, 3328, 7396, 273, 16, 19, 15, 25, 956, 48, 1219, 867, 255, 10859, 10612, 64, 18, 15, 19, 255, 7348, 3343, 1731, 722, 16383, 2112, 16016, 4649, 15719, 16, 7976, 30565, 32, 2765, 322, 30, 24, 3019, 26, 5609, 186, 14828, 454, 272, 2530, 2283, 2849, 341, 433, 64, 2478, 21, 1280, 2530, 558, 4105, 64, 25, 7164, 289, 64, 26, 7164, 433, 64, 16100, 17, 1683, 88, 10877, 795, 9843, 390, 1349, 867, 2205, 285, 2737, 341, 917, 558, 326, 2512, 3156, 1071, 335, 5212, 314, 14907, 255, 1534, 6273, 3574, 285, 326, 248, 2985, 30285, 363, 942, 255, 772, 917, 359, 4608, 341, 359, 1199, 2136, 345, 1071, 270, 1611, 255, 20569, 980, 255, 8984, 390, 313, 4733, 3322, 8522, 285, 2250, 5123, 632, 253, 1071, 2425, 345, 480, 4685, 270, 974, 1123, 255, 623, 276, 3169, 945, 276, 953, 22463, 1280, 1045, 20583, 476, 1809, 285, 2512, 3156, 1071, 255, 2003, 7123, 272, 2817, 289, 3008, 476, 1809, 285, 596, 730, 2555, 314, 859, 360, 863, 285, 480, 341, 917, 359, 248, 2814, 272, 2189, 341, 5337, 285, 1071, 8157, 255, 332, 461, 253, 2082, 1156, 272, 1288, 2189, 359, 12397, 272, 2005, 289, 16862, 1071, 2260, 696, 3218, 453, 7745, 360, 1200, 341, 253, 16500, 953, 2148, 64, 2478, 22, 255, 18, 64, 8213, 3659, 945, 558, 326, 3534, 276, 2800, 375, 4608, 366, 6151, 1071, 30285, 255, 332, 871, 28816, 272, 253, 1280, 2530, 1109, 326, 775, 2688, 1936, 5192, 822, 360, 409, 1140, 345, 17420, 48, 3256, 6273, 3574, 705, 2501, 1834, 2700, 970, 314, 24179, 3645, 916, 326, 9682, 255, 1458, 363, 749, 22246, 1208, 255, 822, 313, 448, 480, 1120, 1804, 2621, 1199, 7812, 289, 3322, 14703, 255, 1458, 363, 1811, 1071, 4427, 4829, 289, 2374, 270, 673, 313, 2132, 341, 8284, 877, 632, 12897, 272, 1391, 30325, 313, 2555, 289, 8538, 345, 2406, 289, 4261, 3754, 270, 17742, 652, 248, 777, 335, 253, 9289, 285, 1959, 556, 4569, 799, 2552, 366, 1071, 255, 822, 1633, 341, 9289, 939, 882, 596, 3892, 2862, 1012, 596, 2018, 2598, 433, 1018, 248, 4059, 1844, 272, 1071, 314, 19, 270, 14109, 655, 17945, 186, 14109, 8260, 313, 248, 579, 11954, 270, 5295, 461, 248, 2633, 255, 7002, 461, 26286, 428, 270, 17742, 2589, 335, 253, 1057, 272, 2985, 8260, 270, 2895, 5905, 272, 2589, 270, 30933, 1012, 285, 396, 276, 248, 4306, 270, 3013, 582, 783, 945, 9695, 396, 911, 3651, 556, 1892, 313, 3562, 285, 248, 1324, 3754, 255, 822, 3763, 2195, 3218, 1392, 285, 953, 344, 6552, 276, 1249, 4744, 543, 1199, 4402, 255, 22490, 929, 2985, 8260, 1045, 16, 953, 344, 6328, 276, 1249, 4744, 543, 461, 705, 4287, 289, 396, 543, 9014, 883, 1546, 270, 22490, 929, 2985, 8260, 5192, 1065, 476, 285, 1900, 448, 253, 3037, 7668, 608, 16788, 35, 3340, 15127, 270, 3403, 4744, 313, 1175, 248, 8609, 843, 76, 345, 480, 4685, 289, 313, 461, 10895, 272, 4599, 314, 1611, 811, 582, 4377, 812, 341, 2985, 8260, 313, 1618, 911, 7620, 255, 5886, 272, 632, 255, 1449, 1650, 1280, 14375, 5331, 1255, 935, 270, 600, 1633, 640, 359, 1865, 285, 6621, 5331, 1255, 935, 366, 1288, 6954, 270, 1696, 640, 1822, 480, 270, 1294, 359, 783, 272, 253, 7832, 578, 355, 1204, 272, 253, 1559, 64, 1456, 4025, 408, 1233, 476, 6953, 2790, 64, 971, 17, 314, 355, 993, 22, 543, 253, 64, 4355, 380, 15580, 935, 366, 1861, 10025, 2211, 5331, 1683, 88, 10877, 680, 355, 340, 4685, 554, 2984, 2005, 2330, 620, 1325, 258, 697, 64, 18, 15, 17, 3913, 21529, 2790, 253, 4674, 14, 683, 380, 3227, 255, 66, 1440, 7607, 9478, 433, 2650, 3150, 8117, 289, 612, 1391, 16683, 5901, 721, 253, 5820, 1683, 16033, 680, 1130, 248, 3029, 272, 1057, 255, 344, 965, 3386, 272, 64, 993, 23, 270, 3028, 253, 4025, 408, 3386, 6313, 16714, 2790, 64, 9668, 17, 1353, 2446, 480, 2505, 272, 2330, 10596, 4671, 270, 3500, 2396, 272, 480, 935, 543, 253, 304, 2773, 408, 2396, 345, 2399, 314, 1507, 10085, 5331, 2348, 5118, 1542, 2060, 1233, 313, 461, 253, 914, 1119, 4377, 812, 341, 2985, 8260, 313, 1618, 270, 1245, 652, 8070, 4719, 22497, 696, 640, 1645, 3357, 453, 253, 20271, 272, 4719, 345, 31053, 289, 28772, 270, 1294, 4719, 22497, 8833, 1329, 725, 285, 64, 8213, 64, 1637, 1233, 289, 1516, 1030, 697, 2560, 5331, 270, 20639, 255, 625, 3476, 20302, 272, 1874, 341, 359, 2876, 248, 3146, 272, 253, 5395, 3187, 5820, 270, 600, 11906, 4377, 285, 3233, 1650, 253, 8900, 272, 253, 5395, 5820, 289, 640, 4525, 341, 253, 3179, 19, 8900, 276, 253, 5820, 543, 6608, 2658, 253, 64, 683, 380, 3227, 270, 974, 596, 1030, 697, 480, 1135, 6345, 253, 5163, 25081, 13466, 3256, 270, 17742, 566, 2474, 52, 272, 612, 2589, 335, 2985, 8260, 255, 1458, 363, 5281, 272, 4719, 276, 28772, 255, 83, 2315, 4828, 1943, 255, 10803, 6350, 255, 14838, 272, 32730, 2125, 255, 78, 16310, 272, 4028, 285, 17877, 4608, 255, 2700, 255, 2700, 270, 1316, 640, 476, 480, 1331, 2589, 255, 7002, 929, 3056, 248, 8935, 270, 5295, 248, 579, 11954, 314, 1696, 536, 3857, 359, 253, 2338, 335, 396, 270, 959, 359, 8983, 4383, 248, 2275, 14653, 2818, 345, 3187, 270, 14109, 8260, 2735, 18912, 1440, 341, 313, 4733, 10228, 313, 636, 16683, 270, 959, 1822, 396, 433, 10156, 9417, 12657, 270, 1130, 536, 6005, 9417, 12657, 255, 18325, 525, 1317, 89, 517, 313, 18180, 721, 253, 5820, 270, 600, 3179, 19, 26575, 276, 253, 5820, 289, 27769, 10807, 341, 916, 6518, 326, 10509, 1042, 253, 17633, 2005, 721, 1932, 270, 340, 17229, 536, 6958, 276, 253, 5820, 15992, 253, 2833, 289, 1039, 253, 4685, 4287, 368, 314, 1611, 255, 2752, 313, 917, 285, 326, 2598, 911, 9843, 390, 2129, 285, 867, 335, 248, 2451, 1440, 276, 1255, 3157, 272, 11989, 270, 959, 777, 892, 4764, 255, 2227, 5174, 433, 9464, 313, 461, 3179, 19, 255, 1458, 363, 7191, 2325, 270, 19123, 253, 2413, 272, 7108, 453, 2543, 289, 4977, 1323, 255, 7387, 652, 870, 270, 4206, 2958, 1606, 4569, 272, 1557, 2325, 313, 5889, 270, 4206, 799, 7444, 5404, 285, 248, 3907, 254, 1972, 10779, 1716, 255, 264, 3036, 314, 20, 270, 31823, 263, 559, 356, 20793, 4769, 7898, 255, 263, 3763, 10589, 448, 632, 680, 10570, 6929, 620, 5205, 849, 4143, 255, 13277, 1030, 596, 8412, 255, 11531, 471, 366, 2165, 453, 1591, 253, 1280, 270, 673, 11906, 471, 285, 1949, 4906, 270, 7326, 270, 600, 313, 26046, 314, 1507, 276, 20452, 272, 632, 480, 255, 247, 20452, 272, 2010, 1285, 705, 3224, 8412, 255, 1534, 359, 248, 1539, 1844, 272, 945, 276, 253, 1280, 341, 359, 19295, 417, 697, 253, 3970, 255, 485, 1741, 276, 396, 289, 11149, 6129, 341, 536, 3270, 276, 270, 2467, 359, 783, 6348, 341, 1223, 25241, 313, 1199, 255, 674, 1331, 23977, 417, 276, 253, 1280, 578, 1132, 359, 1804, 945, 891, 13515, 2128, 341, 1547, 3187, 313, 22537, 2086, 270, 13073, 2086, 32623, 1696, 640, 476, 248, 953, 84, 6037, 1045, 3700, 332, 3204, 9077, 12950, 332, 4259, 270, 15254, 16005, 255, 8601, 461, 2576, 480, 725, 270, 5512, 2128, 341, 253, 3187, 313, 22537, 2086, 2276, 5213, 1690, 255, 714, 313, 253, 987, 625, 2357, 366, 248, 1831, 10081, 289, 6062, 272, 12244, 453, 248, 21645, 891, 20237, 285, 713, 345, 556, 17888, 270, 3030, 753, 255, 258, 828, 2322, 314, 41, 4880, 1844, 272, 945, 3896, 341, 8671, 2966, 3187, 64, 728, 64, 1637, 1233, 4567, 186, 21, 276, 64, 728, 6849, 12054, 1946, 8671, 400, 9779, 3187, 64, 728, 13, 1637, 18868, 416, 2853, 314, 16936, 64, 2586, 19, 289, 64, 993, 21, 255, 15395, 389, 12218, 476, 1246, 341, 877, 64, 2055, 1186, 332, 64, 4872, 1186, 999, 4478, 276, 253, 2886, 2900, 22719, 285, 253, 1892, 341, 953, 13981, 2966, 3857, 276, 556, 1309, 831, 448, 650, 720, 1363, 253, 2121, 64, 728, 13, 1637, 1233, 7225, 88, 10877, 680, 10139, 255, 8601, 461, 7570, 341, 6152, 6881, 29219, 326, 248, 4072, 255, 772, 480, 313, 1215, 5465, 15577, 2695, 270, 1316, 2554, 22967, 2232, 255, 7002, 929, 3056, 248, 3029, 272, 5226, 255, 772, 248, 3029, 272, 579, 11954, 1890, 9836, 620, 8523, 255, 1467, 289, 806, 341, 3187, 313, 64, 21, 13, 22, 7164, 1233, 2218, 270, 1507, 755, 945, 3896, 341, 8671, 269, 14241, 1055, 11086, 7864, 289, 2966, 3857, 64, 1504, 523, 1233, 4567, 255, 332, 3857, 341, 476, 3159, 8580, 18456, 255, 22029, 360, 270, 600, 313, 705, 10428, 17384, 3187, 5679, 1096, 255, 332, 363, 360, 409, 1200, 4384, 23977, 417, 276, 253, 3008, 314, 5512, 3711, 3896, 276, 18121, 186, 7229, 64, 4355, 1186, 999, 6849, 2222, 640, 3896, 276, 18121, 270, 1623, 1186, 999, 632, 945, 30031, 582, 461, 3896, 276, 18121, 448, 632, 255, 2003, 64, 3240, 1186, 3980, 929, 8003, 270, 7620, 255, 264, 2505, 272, 2434, 2699, 255, 347, 360, 1409, 248, 1900, 448, 253, 1844, 272, 945, 891, 3896, 341, 64, 1504, 523, 935, 3376, 314, 17742, 277, 30661, 5841, 1844, 272, 1213, 9417, 289, 4474, 2589, 696, 4881, 2434, 3963, 248, 579, 11954, 270, 5410, 4377, 289, 471, 3152, 945, 409, 1409, 248, 1900, 448, 9417, 5546, 255, 332, 2876, 1200, 366, 849, 1395, 3938, 253, 3963, 453, 650, 2065, 285, 1750, 270, 3623, 914, 480, 255, 772, 366, 253, 4845, 272, 15702, 255, 22490, 277, 16229, 1844, 272, 4474, 2589, 272, 632, 2065, 2876, 1285, 657, 272, 650, 2456, 314, 41, 4880, 1844, 272, 945, 3896, 341, 253, 6910, 313, 30216, 3187, 186, 34, 3695, 3862, 8626, 1190, 7526, 64, 19, 13, 971, 5017, 1140, 341, 697, 64, 1623, 2479, 272, 6849, 4755, 480, 1949, 4708, 15204, 7107, 253, 3187, 873, 1591, 253, 3377, 255, 263, 1147, 253, 3377, 873, 1591, 253, 3187, 32, 6130, 600, 1349, 2901, 326, 248, 19573, 272, 253, 4841, 746, 276, 632, 2800, 270, 1245, 5304, 360, 285, 476, 276, 486, 2239, 632, 253, 11396, 799, 480, 8315, 289, 799, 341, 8315, 289, 640, 2515, 285, 5304, 360, 25459, 272, 849, 1280, 289, 6129, 314, 4861, 255, 6212, 12950, 2853, 642, 289, 3465, 253, 2285, 341, 3187, 313, 30216, 253, 6910, 270, 673, 1560, 326, 6109, 285, 486, 5371, 314, 600, 543, 248, 1567, 272, 1831, 1800, 1224, 248, 1831, 272, 713, 1224, 11251, 558, 461, 870, 471, 270, 23544, 255, 1449, 409, 289, 870, 3465, 6344, 255, 772, 536, 1804, 777, 3645, 255, 6890, 270, 1696, 536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 248, 3520, 1464, 12238, 4488, 255, 344, 613, 4895, 260, 258, 5162, 554, 538, 11229, 599, 569, 12943, 12957, 2705, 632, 341, 253, 3159, 2569, 746, 620, 2598, 285, 12034, 405, 986, 8298, 289, 10822, 253, 2413, 289, 3413, 272, 7311, 289, 2955, 270, 1682, 313, 7700, 255, 2160, 255, 1554, 253, 25865, 891, 476, 9459, 7813, 272, 253, 2072, 32604, 308, 8684, 3390, 4034, 1409, 253, 5894, 272, 9360, 3068, 335, 13582, 270, 1682, 10353, 248, 6318, 29759, 578, 34, 1020, 22559, 268, 2569, 746, 313, 10397, 2095, 8543, 446, 6019, 4594, 2095, 1542, 9364, 268, 270, 1283, 3235, 904, 640, 359, 6410, 272, 255, 5622, 1343, 777, 285, 326, 10938, 276, 289, 31215, 433, 17859, 4752, 255, 15859, 255, 332, 1701, 6185, 314, 340, 2946, 341, 6185, 359, 1156, 285, 253, 1500, 9167, 272, 248, 2569, 5495, 313, 17640, 892, 270, 10861, 954, 525, 2074, 308, 91, 554, 867, 345, 4045, 3352, 289, 525, 22094, 594, 4798, 554, 18462, 345, 6185, 289, 11588, 3793, 359, 1020, 11659, 2802, 14596, 276, 253, 4411, 270, 340, 1949, 272, 2260, 272, 2933, 356, 50, 80, 40, 406, 262, 248, 9535, 7573, 254, 255, 772, 1804, 3708, 1949, 1363, 253, 1190, 272, 3239, 6185, 270, 13492, 542, 855, 8168, 554, 64, 993, 18, 2133, 345, 1899, 80, 40, 2421, 277, 6595, 9410, 272, 253, 4411, 289, 1021, 3345, 9578, 314, 340, 7987, 272, 480, 24741, 313, 1331, 1319, 26080, 730, 818, 272, 755, 11753, 2104, 270, 1130, 248, 797, 303, 14868, 31557, 2106, 264, 313, 596, 16860, 289, 25249, 1923, 730, 248, 17184, 3649, 276, 7006, 3678, 270, 13646, 255, 1639, 27230, 783, 1774, 4445, 255, 42, 5845, 285, 1120, 253, 1119, 285, 6491, 5641, 906, 5126, 335, 2258, 1251, 270, 1696, 1350, 366, 755, 8433, 2453, 391, 255, 344, 4471, 3955, 1868, 12417, 1590, 345, 1156, 2084, 5311, 253, 2246, 272, 1899, 80, 40, 285, 11976, 255, 10660, 6881, 255, 332, 253, 12434, 272, 3012, 1391, 2129, 314, 1099, 313, 2260, 272, 2933, 879, 340, 965, 3941, 313, 285, 852, 248, 7843, 1650, 272, 253, 2260, 272, 253, 17859, 4752, 255, 15859, 255, 332, 1701, 6185, 341, 831, 253, 2521, 7660, 335, 248, 1020, 22559, 268, 2569, 5495, 270, 1130, 253, 3078, 2300, 255, 42, 558, 3167, 345, 248, 1031, 272, 878, 12662, 16704, 433, 253, 11400, 25525, 4975, 255, 66, 10839, 2566, 2128, 8860, 5174, 6843, 313, 797, 864, 1879, 253, 10067, 453, 9681, 285, 24238, 255, 1639, 28837, 1994, 15731, 255, 247, 7461, 10644, 289, 4421, 13658, 945, 2930, 340, 5610, 544, 878, 276, 253, 29569, 554, 7645, 7130, 24238, 1713, 313, 11009, 11262, 289, 300, 23818, 270, 673, 1657, 2845, 64, 32441, 10889, 255, 23818, 721, 64, 4269, 797, 30008, 2106, 79, 26262, 276, 64, 1058, 797, 20913, 1513, 802, 332, 1464, 797, 3749, 2038, 2930, 4766, 755, 10889, 255, 19574, 359, 892, 335, 64, 993, 26, 255, 1229, 64, 6087, 5542, 4728, 453, 2643, 1233, 270, 12223, 5848, 272, 253, 4130, 289, 3178, 272, 253, 10889, 409, 326, 1246, 276, 248, 5387, 9481, 1713, 314, 340, 11400, 25525, 878, 1540, 248, 22694, 375, 596, 2711, 341, 2141, 20137, 4824, 285, 8971, 345, 2260, 272, 2933, 270, 3295, 755, 532, 4434, 253, 1387, 10693, 578, 355, 31113, 272, 2052, 186, 355, 22898, 10513, 186, 355, 12886, 1107, 272, 4045, 3352, 186, 355, 3451, 821, 15349, 186, 355, 12886, 1107, 272, 26240, 3352, 186, 355, 1579, 16905, 9959, 186, 355, 22898, 6899, 186, 355, 5444, 16115, 2260, 186, 355, 22898, 18772, 186, 340, 5076, 11751, 248, 25009, 14295, 255, 1184, 819, 1050, 5342, 345, 2260, 272, 2933, 270, 340, 965, 3952, 4147, 359, 5737, 366, 542, 855, 8168, 554, 1892, 341, 22344, 430, 390, 313, 253, 1774, 14374, 272, 1899, 80, 40, 270, 2148, 22344, 430, 390, 255, 249, 1633, 341, 797, 2446, 10853, 5086, 289, 5513, 255, 15703, 14520, 6033, 461, 1409, 721, 8283, 4599, 697, 253, 18396, 16, 10951, 341, 313, 461, 30217, 3486, 1485, 9608, 276, 253, 3827, 375, 253, 2052, 2930, 673, 2074, 6936, 289, 6222, 345, 253, 1567, 29680, 596, 2562, 1104, 14658, 18372, 276, 5333, 253, 16284, 272, 2933, 730, 345, 22344, 430, 390, 270, 340, 309, 22844, 5699, 255, 15703, 18772, 255, 4691, 326, 5340, 12765, 276, 253, 2381, 3127, 314, 600, 25009, 14295, 2023, 313, 1331, 7573, 254, 730, 341, 8972, 433, 31702, 398, 4740, 3788, 475, 84, 289, 612, 10603, 891, 9517, 335, 3483, 13447, 289, 21521, 276, 1899, 80, 40, 270, 5964, 3788, 475, 84, 2436, 642, 341, 248, 16434, 30282, 2049, 272, 1899, 80, 40, 1109, 2286, 248, 991, 10188, 285, 255, 9342, 255, 66, 2933, 341, 6620, 2132, 5086, 335, 12334, 32699, 272, 800, 12088, 255, 258, 17114, 713, 22344, 1588, 289, 11518, 6433, 2033, 901, 285, 1288, 8170, 335, 8955, 16167, 1491, 377, 270, 974, 1309, 5407, 255, 2691, 255, 264, 916, 326, 19841, 285, 1347, 13830, 2260, 2933, 289, 31406, 1415, 2933, 276, 480, 1119, 270, 2148, 21984, 248, 25009, 14295, 255, 1184, 819, 1050, 1892, 272, 1899, 80, 40, 255, 581, 409, 2781, 2572, 2031, 1899, 80, 40, 313, 2273, 366, 1811, 4513, 276, 2377, 272, 1391, 3352, 255, 71, 5719, 255, 332, 12434, 272, 3012, 2129, 1019, 21978, 341, 916, 1039, 929, 2699, 861, 849, 1650, 272, 1899, 80, 40, 2778, 25755, 271, 1288, 4513, 1683, 2531, 7561, 254, 14487, 414, 72, 28825, 341, 2856, 6595, 4513, 1625, 345, 1730, 1899, 80, 40, 2199, 642, 285, 326, 4565, 5518, 2968, 4610, 272, 1899, 80, 40, 652, 6788, 2127, 366, 904, 6733, 350, 525, 270, 23419, 289, 7601, 1028, 1165, 7556, 1282, 1402, 4190, 255, 1639, 696, 640, 1676, 797, 260, 2508, 272, 248, 1402, 285, 2597, 13968, 255, 258, 4770, 2052, 289, 1460, 255, 332, 1552, 1972, 7311, 2930, 465, 2439, 255, 1184, 819, 1050, 1899, 80, 40, 916, 2141, 285, 326, 248, 2555, 2559, 335, 991, 1402, 4190, 255, 772, 363, 532, 1290, 396, 255, 344, 7467, 2049, 23991, 5448, 1794, 1415, 5513, 289, 1415, 4513, 363, 1020, 363, 18372, 289, 22344, 430, 390, 314, 465, 2326, 285, 253, 11470, 11793, 5340, 1861, 255, 344, 5076, 272, 253, 10693, 10889, 285, 326, 3583, 276, 1899, 80, 40, 543, 652, 15601, 255, 247, 657, 255, 1639, 25249, 1923, 3038, 1780, 270, 340, 10693, 1899, 80, 40, 2711, 3381, 8329, 345, 248, 2167, 3038, 255, 549, 556, 2984, 409, 326, 24867, 785, 363, 248, 2167, 4043, 255, 822, 532, 558, 1282, 1899, 80, 40, 26, 270, 7170, 263, 1923, 1780, 6907, 341, 396, 2434, 929, 1737, 2732, 2572, 10585, 40, 26, 313, 14006, 363, 248, 2343, 2984, 272, 253, 10693, 2711, 375, 363, 248, 3038, 28162, 271, 2984, 255, 549, 532, 693, 253, 2343, 2984, 276, 632, 272, 253, 3642, 5340, 2151, 270, 12223, 878, 5954, 1899, 80, 40, 26, 289, 612, 4283, 255, 14917, 878, 335, 253, 7832, 255, 332, 363, 2450, 4366, 272, 4434, 3038, 1780, 289, 9209, 3642, 409, 326, 1246, 276, 277, 2925, 31825, 314, 21134, 272, 2933, 289, 11976, 186, 3278, 945, 891, 3270, 276, 13949, 2800, 3610, 285, 2128, 272, 797, 11143, 2933, 802, 332, 797, 9594, 17440, 802, 292, 2914, 13586, 270, 1452, 255, 292, 542, 855, 8168, 7783, 255, 344, 2246, 877, 253, 871, 313, 2037, 270, 2164, 253, 650, 1648, 255, 347, 248, 3182, 313, 285, 326, 2621, 596, 730, 21744, 279, 1588, 13949, 255, 1184, 819, 1050, 3863, 335, 253, 5076, 272, 4453, 1349, 326, 27138, 276, 248, 746, 272, 2052, 289, 21008, 289, 1349, 326, 5542, 642, 22344, 1588, 270, 465, 341, 2699, 255, 9594, 17440, 10862, 448, 2082, 783, 9414, 1115, 272, 1899, 80, 40, 270, 2164, 253, 612, 1648, 255, 264, 313, 11553, 255, 2446, 536, 1900, 1591, 253, 1280, 255, 1554, 917, 359, 2800, 1224, 24201, 276, 14446, 21008, 18584, 19745, 1344, 289, 300, 14, 3582, 4453, 891, 359, 1724, 285, 326, 21998, 375, 8902, 285, 556, 1395, 1247, 255, 537, 260, 255, 263, 12334, 1214, 270, 2164, 253, 612, 1648, 255, 623, 409, 1120, 448, 2082, 285, 8967, 3401, 272, 2800, 341, 476, 8824, 1899, 80, 40, 7863, 255, 292, 3388, 1868, 255, 8443, 5694, 13915, 345, 3957, 272, 30282, 11976, 314, 4766, 253, 10693, 11400, 25525, 2711, 276, 1899, 80, 40, 26, 255, 344, 309, 22844, 2859, 15703, 18772, 2106, 262, 13117, 248, 1650, 272, 30282, 11976, 270, 673, 313, 1625, 255, 247, 2199, 255, 251, 2172, 5954, 10889, 6601, 18, 406, 34, 1650, 272, 253, 3913, 285, 696, 917, 313, 248, 5661, 13158, 345, 11976, 289, 248, 2569, 5495, 363, 248, 3940, 10426, 19, 406, 260, 11418, 453, 26669, 10402, 272, 3418, 8459, 289, 3352, 10426, 20, 406, 66, 1650, 272, 253, 1115, 272, 11976, 453, 253, 5162, 335, 3524, 1435, 22398, 649, 332, 356, 21, 406, 66, 1650, 272, 253, 6624, 2592, 272, 24530, 5603, 453, 253, 3970, 17923, 7742, 314, 465, 248, 3038, 1780, 2859, 15703, 18772, 802, 19877, 253, 3033, 335, 11932, 276, 1899, 80, 40, 26, 255, 772, 914, 24321, 270, 6341, 20192, 366, 253, 612, 6222, 1899, 80, 40, 2711, 255, 2003, 632, 15100, 1737, 255, 505, 253, 11178, 272, 818, 276, 253, 2103, 3555, 1934, 263, 17699, 2891, 270, 22898, 18772, 313, 4019, 13473, 366, 253, 2984, 272, 253, 612, 6222, 2711, 356, 66, 4043, 532, 558, 3427, 285, 363, 1899, 80, 40, 25, 823, 772, 253, 542, 19, 313, 248, 20127, 64, 17, 15, 4932, 314, 1294, 15100, 1737, 1175, 461, 16229, 315, 2352, 20192, 2122, 341, 12749, 917, 313, 248, 2147, 11479, 335, 991, 10602, 9653, 285, 326, 13949, 255, 1534, 359, 18083, 270, 1283, 2258, 7896, 253, 2246, 272, 30282, 11976, 285, 2933, 2260, 255, 42, 7408, 285, 248, 596, 5387, 1031, 272, 11976, 878, 453, 26669, 10402, 255, 1758, 1464, 10889, 272, 253, 6881, 289, 31312, 272, 253, 31892, 901, 289, 2172, 10889, 272, 6881, 272, 3418, 8459, 270, 42, 5632, 755, 721, 248, 1650, 272, 30282, 11976, 270, 340, 7966, 272, 480, 11317, 1650, 272, 30282, 11976, 366, 1899, 80, 40, 25, 356, 979, 23981, 2933, 18772, 406, 262, 64, 17, 15, 7421, 356, 51, 19, 580, 17, 15, 4355, 406, 475, 253, 3146, 272, 64, 17475, 2800, 335, 696, 1213, 4283, 359, 1895, 314, 4065, 64, 18, 2838, 248, 14236, 6875, 272, 1899, 80, 40, 25, 6584, 270, 1184, 819, 1050, 11976, 363, 1625, 345, 253, 6936, 3351, 453, 26669, 10402, 270, 52, 19597, 359, 24736, 705, 341, 253, 18516, 1223, 2496, 22604, 1861, 375, 2151, 253, 1676, 335, 973, 4043, 270, 340, 13635, 1284, 4745, 1441, 2838, 341, 917, 313, 248, 11479, 335, 2800, 341, 359, 596, 13949, 285, 476, 4536, 991, 1899, 80, 40, 19733, 270, 11319, 1910, 1861, 253, 4745, 1441, 476, 2031, 1899, 80, 40, 730, 916, 326, 3984, 1625, 345, 556, 1115, 272, 11976, 4960, 255, 2003, 253, 6048, 313, 2987, 335, 1288, 2151, 253, 4745, 1441, 314, 340, 6945, 313, 5696, 721, 7288, 9359, 255, 1229, 17108, 642, 14380, 13609, 433, 556, 22587, 10403, 270, 19462, 366, 253, 4594, 13507, 31134, 255, 581, 1140, 2800, 341, 476, 1811, 6935, 260, 10025, 2211, 19733, 345, 1213, 30282, 11976, 289, 2933, 2260, 255, 1229, 32031, 14898, 253, 5280, 28598, 270, 3258, 748, 29703, 2800, 356, 29244, 16548, 406, 332, 905, 10481, 3267, 6678, 276, 480, 31134, 270, 53, 4266, 16776, 313, 253, 1763, 14, 3186, 2370, 2800, 3589, 253, 748, 29703, 270, 34, 1831, 2800, 255, 1458, 363, 5615, 255, 3980, 2031, 6935, 260, 10025, 2211, 1899, 80, 40, 7863, 255, 772, 2904, 2151, 253, 4745, 1441, 255, 15450, 341, 640, 582, 461, 2087, 363, 3593, 363, 536, 916, 3748, 255, 7546, 556, 1115, 272, 11976, 314, 340, 8065, 11821, 31134, 3476, 2800, 366, 2031, 6935, 260, 10025, 2211, 1899, 80, 40, 1175, 2336, 6935, 260, 10025, 2211, 11976, 7863, 270, 24034, 19274, 289, 29198, 26197, 359, 761, 23628, 8582, 642, 14380, 255, 4714, 650, 13337, 84, 341, 29198, 26197, 620, 1689, 6643, 276, 1213, 6617, 2790, 755, 878, 724, 6067, 270, 19991, 289, 22129, 285, 253, 2299, 536, 1140, 2800, 844, 253, 2886, 9981, 4308, 354, 717, 289, 5713, 255, 822, 359, 1319, 1020, 22872, 255, 772, 1804, 476, 2031, 6935, 260, 10025, 2211, 1899, 80, 40, 7863, 289, 359, 1350, 1319, 13949, 314, 4501, 272, 253, 8391, 11821, 31134, 8312, 1861, 253, 4745, 1441, 270, 27130, 313, 1246, 917, 255, 18304, 341, 12749, 800, 2260, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12540, 335, 21871, 186, 728, 380, 24376, 10581, 1790, 4600, 279, 505, 2064, 9272, 345, 18854, 24152, 255, 4691, 326, 9130, 1591, 253, 8916, 797, 2036, 17646, 24152, 64, 2478, 17, 313, 16934, 272, 1774, 12246, 289, 12583, 9273, 345, 7645, 8195, 5683, 1251, 3128, 285, 3703, 6021, 2985, 10159, 341, 2241, 1557, 2491, 276, 18854, 24152, 64, 2478, 17, 186, 26544, 486, 6896, 285, 818, 272, 253, 5874, 15362, 314, 32131, 1657, 335, 253, 11800, 433, 10520, 277, 3163, 8719, 5339, 285, 360, 314, 17646, 5831, 313, 253, 19192, 265, 1120, 877, 248, 2727, 289, 2258, 1778, 423, 21052, 916, 12183, 6921, 3017, 253, 10554, 272, 1807, 270, 34, 3078, 5831, 1109, 3322, 1423, 453, 12276, 268, 248, 5831, 3918, 255, 1808, 396, 248, 29353, 255, 17520, 21089, 255, 79, 3432, 261, 255, 13066, 15104, 6965, 270, 864, 32702, 289, 1778, 272, 248, 1807, 255, 332, 2258, 3353, 1565, 272, 341, 2727, 270, 673, 2258, 23400, 800, 3012, 4797, 363, 2931, 1095, 1809, 285, 23393, 1591, 253, 14091, 3455, 27409, 272, 556, 12651, 21974, 289, 17170, 18317, 255, 5203, 7887, 377, 285, 2672, 1095, 289, 15539, 285, 16042, 4143, 272, 20930, 270, 3295, 10216, 486, 1352, 276, 248, 1811, 1119, 289, 285, 1927, 4121, 3458, 289, 2258, 13420, 341, 2010, 285, 2456, 289, 5371, 255, 66, 1797, 355, 316, 2259, 430, 4665, 515, 916, 20540, 870, 276, 23097, 751, 253, 1115, 272, 1280, 1095, 314, 355, 23474, 64, 19, 14, 18, 10605, 14790, 18854, 24152, 186, 355, 23474, 64, 19, 14, 19, 1799, 20256, 18854, 24152, 186, 1130, 18854, 1565, 620, 838, 253, 3634, 1120, 272, 2893, 877, 248, 2727, 289, 2258, 1778, 289, 705, 396, 10892, 396, 2638, 2154, 3769, 448, 253, 720, 272, 28235, 255, 4993, 326, 3931, 8488, 7749, 255, 66, 8539, 255, 388, 15189, 6427, 2162, 255, 71, 887, 6965, 270, 340, 3078, 1565, 861, 313, 8412, 255, 344, 1217, 1109, 3224, 326, 16061, 4356, 453, 25302, 1936, 270, 673, 409, 326, 248, 7851, 51, 356, 28478, 392, 21743, 524, 19981, 3138, 823, 5886, 7076, 276, 783, 2162, 6965, 270, 19331, 4211, 2964, 8682, 409, 326, 30138, 285, 248, 1539, 5592, 255, 347, 1500, 3078, 1565, 313, 10148, 270, 673, 5373, 3017, 248, 19179, 2010, 289, 6344, 697, 13624, 13980, 885, 5259, 289, 285, 4105, 642, 335, 18854, 1565, 276, 720, 270, 17646, 5831, 620, 4755, 1825, 1773, 335, 7187, 5831, 255, 332, 7124, 80, 1142, 366, 18854, 1565, 276, 277, 3163, 5148, 916, 20540, 582, 253, 777, 906, 335, 32519, 1095, 4029, 314, 355, 23474, 64, 20, 14, 18, 31540, 276, 18854, 1565, 186, 17646, 9813, 8487, 313, 277, 9228, 2023, 285, 9556, 289, 3117, 4505, 3078, 1565, 270, 673, 9404, 2307, 248, 1684, 272, 1095, 289, 1701, 1565, 6937, 285, 867, 2307, 285, 1552, 9335, 15813, 289, 30151, 1565, 335, 556, 2406, 2672, 270, 17646, 1565, 2137, 12327, 783, 272, 253, 3041, 272, 253, 1388, 8707, 446, 430, 1385, 2672, 1095, 8037, 273, 431, 1375, 268, 345, 248, 4059, 2530, 15534, 3078, 1565, 7267, 285, 5245, 448, 248, 3904, 11780, 255, 7002, 11149, 16885, 1565, 448, 253, 13064, 289, 15345, 285, 248, 2727, 276, 777, 314, 355, 23474, 64, 21, 14, 18, 17605, 1565, 2955, 186, 355, 23474, 64, 21, 14, 19, 1777, 29898, 276, 9813, 1565, 186, 14109, 18854, 1565, 313, 248, 9151, 427, 8610, 16275, 5831, 10148, 285, 973, 289, 1255, 1217, 255, 15145, 1973, 751, 10644, 289, 2800, 2307, 285, 326, 345, 253, 1112, 2924, 276, 2377, 272, 5831, 270, 673, 4704, 11792, 272, 5831, 10148, 285, 632, 2731, 272, 1280, 7526, 6937, 453, 632, 806, 253, 14091, 255, 864, 852, 9246, 289, 5092, 751, 11935, 285, 12343, 277, 9140, 8412, 289, 15919, 5831, 3171, 632, 1591, 270, 1283, 1552, 23393, 253, 3078, 5831, 2635, 8968, 3455, 27409, 272, 12651, 21974, 18317, 270, 5512, 276, 902, 18453, 272, 1280, 2129, 285, 1636, 697, 1095, 2491, 289, 253, 1763, 2192, 285, 2071, 713, 276, 965, 1741, 314, 355, 23474, 64, 22, 14, 18, 15079, 433, 12975, 22175, 186, 355, 23474, 64, 22, 14, 19, 9819, 751, 12814, 6093, 868, 753, 186, 355, 23474, 64, 23, 14, 18, 5203, 15189, 24152, 186, 355, 23474, 64, 23, 14, 19, 10176, 7398, 18854, 5831, 186, 355, 23474, 64, 23, 14, 20, 13480, 8660, 18854, 5831, 186, 9243, 3548, 620, 8147, 276, 27579, 1095, 272, 248, 2530, 433, 6390, 8316, 556, 2491, 289, 2129, 255, 68, 601, 268, 2955, 285, 713, 15070, 270, 5295, 248, 2505, 272, 19578, 3171, 21345, 285, 248, 2530, 433, 902, 5831, 9159, 255, 864, 7076, 1288, 276, 777, 255, 252, 253, 1763, 272, 556, 21097, 270, 673, 4704, 14842, 5046, 3828, 4412, 272, 1565, 652, 270, 673, 14035, 285, 1552, 1565, 285, 248, 3457, 285, 2258, 8465, 556, 2010, 289, 3353, 3253, 285, 8876, 253, 4992, 272, 818, 27606, 1807, 12215, 270, 17646, 1565, 289, 1972, 5831, 359, 272, 2638, 2154, 3769, 335, 4383, 248, 3458, 3457, 289, 15666, 4105, 272, 5831, 285, 632, 253, 2786, 270, 340, 6226, 2307, 272, 755, 871, 9662, 21734, 409, 2199, 253, 7019, 276, 2035, 272, 5831, 2955, 270, 673, 3036, 285, 18861, 253, 3012, 621, 1006, 29218, 335, 6172, 272, 253, 1115, 272, 5831, 276, 248, 3457, 363, 2753, 289, 285, 1409, 4728, 253, 13447, 272, 5831, 314, 355, 23474, 64, 24, 14, 18, 34, 23605, 697, 1095, 2491, 186, 355, 23474, 64, 24, 14, 19, 23369, 289, 25380, 272, 1048, 29845, 21194, 186, 355, 23474, 64, 24, 14, 20, 9243, 289, 12220, 1095, 186, 340, 2338, 4272, 632, 1751, 9891, 276, 253, 1280, 313, 285, 13437, 1454, 8632, 255, 263, 4093, 6207, 272, 20930, 558, 326, 30031, 270, 10617, 313, 253, 2300, 272, 1606, 289, 285, 326, 5806, 255, 11619, 6578, 396, 1516, 326, 396, 14808, 255, 71, 1921, 255, 32497, 255, 22316, 9447, 255, 1764, 8491, 6965, 270, 2281, 10233, 10067, 2779, 345, 276, 849, 5383, 359, 1156, 335, 248, 3229, 1352, 270, 1283, 2119, 9349, 255, 251, 8918, 313, 285, 1879, 248, 3458, 746, 341, 10624, 360, 3683, 289, 3229, 270, 34, 10088, 3203, 558, 870, 276, 7045, 486, 14207, 289, 30748, 486, 25374, 5357, 11267, 10145, 1021, 4028, 270, 13630, 22175, 272, 3078, 1095, 1565, 289, 8918, 255, 262, 22238, 2512, 285, 8465, 1095, 4564, 289, 2650, 8636, 270, 2281, 480, 3218, 775, 13857, 11184, 8568, 289, 800, 15122, 409, 326, 3298, 366, 18854, 5831, 285, 1012, 596, 3185, 289, 285, 338, 865, 533, 982, 1095, 272, 277, 1430, 289, 2770, 345, 3457, 363, 1020, 270, 1799, 268, 2307, 272, 6383, 1643, 2538, 289, 289, 15104, 2307, 409, 14355, 558, 326, 5889, 276, 32519, 18854, 1565, 335, 632, 314, 355, 23474, 64, 25, 14, 18, 7581, 1643, 2538, 289, 14177, 10347, 186, 355, 23474, 64, 25, 14, 19, 18799, 11184, 8568, 186, 49, 9368, 84, 313, 11149, 253, 2554, 341, 14035, 366, 20866, 717, 289, 11540, 255, 4983, 1095, 255, 22548, 289, 556, 1480, 721, 3683, 4478, 270, 1245, 359, 917, 285, 1552, 253, 1763, 272, 1565, 285, 253, 2816, 3909, 270, 34, 14798, 313, 248, 1217, 366, 9246, 276, 9529, 366, 253, 4103, 255, 12867, 14473, 272, 248, 933, 375, 23421, 270, 340, 8277, 272, 3078, 5831, 366, 24829, 84, 409, 5752, 253, 8214, 2087, 272, 1404, 2033, 285, 783, 259, 9338, 4028, 448, 286, 567, 255, 247, 248, 1831, 6669, 1964, 270, 1245, 409, 3224, 4359, 253, 3685, 697, 7876, 272, 1953, 4028, 289, 811, 285, 5275, 713, 9566, 270, 23023, 277, 3224, 8412, 255, 6327, 12900, 933, 1565, 558, 20540, 5013, 253, 2333, 289, 12040, 12117, 272, 248, 933, 289, 335, 253, 2753, 2456, 276, 2199, 289, 32519, 1095, 272, 248, 2753, 3457, 2307, 314, 38, 25043, 6397, 1996, 359, 2505, 272, 12218, 289, 2956, 1034, 16900, 285, 5904, 253, 11960, 272, 248, 1661, 1807, 276, 248, 1661, 15995, 1666, 270, 673, 313, 1199, 1737, 276, 9529, 366, 253, 2129, 272, 248, 2530, 255, 2446, 1953, 570, 90, 272, 902, 1807, 289, 556, 11994, 313, 1724, 270, 600, 916, 20540, 870, 276, 6226, 725, 366, 5513, 2398, 285, 5275, 289, 4558, 5831, 285, 3705, 625, 556, 2129, 15070, 270, 2281, 253, 7491, 9982, 558, 4470, 253, 1565, 9159, 285, 8465, 3892, 5831, 8306, 289, 253, 15104, 409, 1811, 1190, 253, 7876, 289, 1105, 729, 3671, 285, 326, 9755, 270, 13630, 1973, 751, 3078, 5831, 366, 755, 19436, 6397, 1996, 558, 326, 3059, 276, 18861, 268, 253, 3012, 2129, 272, 248, 3457, 289, 285, 1552, 713, 5831, 363, 604, 3747, 270, 673, 558, 20540, 1357, 285, 253, 26413, 1607, 272, 1021, 15329, 4028, 289, 5831, 6937, 409, 652, 326, 9064, 335, 9624, 253, 22244, 289, 8236, 268, 5831, 8306, 270, 673, 558, 326, 3059, 276, 3117, 4505, 268, 5831, 2837, 335, 248, 1661, 17170, 1666, 289, 25821, 396, 276, 248, 2216, 5148, 314, 2928, 2449, 255, 19513, 620, 1940, 650, 272, 253, 905, 16153, 4028, 255, 261, 4124, 751, 3139, 25018, 84, 1600, 433, 1600, 3455, 27409, 272, 632, 23608, 276, 2325, 289, 6694, 270, 673, 409, 1672, 276, 818, 657, 272, 1352, 255, 1808, 396, 5728, 255, 31762, 255, 2602, 251, 255, 18835, 6965, 270, 673, 313, 11149, 253, 637, 21192, 2283, 272, 248, 1046, 341, 255, 2446, 396, 20894, 253, 4190, 285, 12183, 16389, 4579, 562, 289, 21263, 9, 14257, 3795, 1046, 3139, 4264, 340, 1514, 1927, 345, 12098, 254, 751, 1655, 1285, 20545, 289, 11267, 1889, 276, 17861, 289, 21627, 1672, 15567, 1003, 8210, 2283, 4893, 289, 10778, 270, 1294, 1514, 409, 8577, 276, 3225, 26799, 289, 5296, 1340, 1936, 1798, 270, 673, 409, 326, 1262, 272, 12736, 276, 4937, 844, 267, 6826, 255, 332, 1953, 612, 2189, 341, 359, 4660, 335, 7323, 272, 31070, 8604, 68, 3116, 261, 285, 23201, 7641, 3909, 270, 1245, 2258, 831, 248, 5925, 289, 409, 13433, 292, 986, 285, 612, 8377, 1798, 270, 340, 1190, 272, 2481, 313, 1747, 5621, 68, 985, 289, 902, 12802, 359, 721, 693, 363, 1843, 23653, 255, 12400, 8415, 6965, 1353, 772, 8237, 3078, 1565, 335, 253, 1778, 272, 2481, 1109, 326, 277, 2379, 1119, 270, 10439, 3277, 359, 2779, 345, 289, 396, 916, 20540, 326, 7209, 335, 23097, 751, 1980, 272, 12802, 785, 276, 9538, 2481, 270, 673, 7639, 248, 2753, 902, 8610, 335, 1251, 289, 4665, 751, 253, 6335, 12802, 366, 253, 18854, 1565, 30343, 11791, 314, 355, 23474, 64, 1298, 14, 18, 11602, 6383, 16689, 186, 355, 23474, 64, 1298, 14, 19, 18992, 8415, 289, 9696, 23653, 186, 23372, 4385, 313, 253, 1190, 272, 2376, 2398, 5613, 255, 12142, 14, 2938, 3326, 255, 12142, 15177, 255, 624, 31379, 6965, 270, 505, 20462, 775, 480, 1190, 270, 3295, 32702, 272, 248, 2376, 1807, 285, 253, 2082, 24470, 268, 2426, 289, 285, 1299, 632, 2028, 2376, 11342, 3629, 31230, 270, 34, 6004, 6559, 620, 285, 326, 248, 281, 4030, 276, 1055, 5474, 285, 1315, 991, 1608, 2376, 31230, 289, 4558, 253, 1763, 272, 1565, 285, 556, 2727, 270, 340, 881, 14152, 23137, 272, 18854, 5831, 366, 15419, 4385, 313, 7700, 366, 253, 12026, 272, 1811, 1565, 289, 1095, 1089, 86, 354, 390, 285, 2376, 2081, 270, 340, 7619, 272, 2333, 1177, 354, 397, 276, 480, 3904, 267, 5139, 1280, 620, 652, 838, 248, 2338, 335, 2958, 2162, 272, 2376, 15177, 289, 7436, 276, 2816, 2163, 1798, 270, 17646, 1095, 1565, 8306, 409, 3465, 2010, 289, 4359, 253, 945, 276, 248, 1811, 1119, 285, 1409, 20030, 289, 2071, 2376, 2398, 2491, 314, 47, 24296, 255, 2236, 2195, 620, 838, 253, 1763, 2439, 335, 4558, 1565, 285, 248, 2727, 270, 47, 3432, 261, 359, 253, 6937, 891, 409, 326, 849, 14721, 285, 248, 1811, 1095, 1485, 289, 1253, 1778, 255, 1229, 556, 7301, 2002, 366, 705, 1021, 2081, 270, 47, 24296, 289, 3078, 1095, 1565, 873, 1648, 276, 1648, 255, 292, 21108, 359, 253, 905, 1737, 1565, 9159, 255, 344, 870, 276, 3078, 5831, 2374, 276, 16537, 289, 276, 5575, 28953, 1798, 270, 27046, 21108, 409, 2195, 326, 5864, 271, 363, 248, 3078, 5831, 8037, 1485, 536, 1900, 335, 248, 10564, 642, 270, 8793, 28638, 613, 24296, 289, 3078, 5831, 2307, 409, 5013, 253, 2260, 272, 5831, 2955, 285, 1021, 29749, 289, 11267, 800, 11384, 1798, 314, 355, 23474, 64, 1551, 14, 18, 47, 3432, 261, 276, 18854, 1565, 186, 26788, 255, 247, 2121, 1831, 6586, 620, 1940, 650, 272, 253, 905, 1354, 1095, 4111, 255, 6890, 359, 3964, 4442, 3455, 27409 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3429, 12427, 28406, 8321, 28856, 879, 340, 13774, 272, 248, 4643, 301, 892, 1280, 276, 696, 9653, 359, 7751, 753, 12716, 255, 8266, 1743, 268, 18396, 2955, 9566, 289, 4881, 313, 30234, 1804, 783, 1119, 1042, 270, 1507, 2096, 313, 480, 253, 1576, 879, 340, 3520, 538, 425, 16820, 289, 10964, 4110, 2818, 28543, 433, 253, 748, 2441, 292, 6639, 4975, 356, 6672, 42, 406, 475, 253, 12003, 272, 556, 892, 3518, 1972, 4051, 2374, 356, 49, 27736, 406, 73, 682, 289, 3406, 1854, 14997, 12427, 8321, 20823, 5911, 414, 1173, 4308, 25469, 30935, 9797, 359, 248, 1825, 965, 1757, 285, 1012, 13158, 1591, 253, 4111, 289, 4612, 255, 772, 276, 849, 1892, 917, 313, 1804, 8597, 8597, 2635, 285, 11752, 1972, 14623, 255, 26855, 255, 332, 3518, 2325, 314, 340, 748, 12738, 313, 285, 326, 2619, 8710, 271, 335, 253, 1156, 8519, 755, 11935, 1039, 285, 253, 1352, 272, 2010, 289, 2439, 272, 3518, 452, 27736, 289, 2933, 3518, 7267, 270, 600, 4821, 8344, 849, 1774, 6535, 314, 6672, 42, 538, 21958, 4911, 10964, 4110, 19821, 186, 13357, 452, 27736, 4668, 476, 253, 1773, 285, 15516, 253, 7859, 272, 14623, 1207, 386, 1910, 366, 253, 4382, 289, 3747, 272, 3518, 3171, 6427, 255, 6442, 285, 253, 748, 12738, 1854, 270, 1452, 255, 6672, 42, 4220, 17451, 341, 253, 9669, 3518, 452, 27736, 13827, 10443, 3952, 2028, 4111, 578, 355, 34, 8809, 3724, 5978, 1042, 7393, 1542, 30492, 356, 4557, 5334, 406, 84, 7703, 186, 355, 1173, 16549, 2204, 272, 2440, 2129, 289, 18686, 186, 355, 1173, 9875, 248, 9079, 285, 26456, 255, 6077, 12667, 2192, 272, 2552, 696, 359, 5160, 285, 29981, 186, 355, 20836, 2335, 11435, 276, 4051, 1207, 386, 1910, 186, 355, 6549, 12478, 8639, 2837, 186, 355, 15097, 2592, 2325, 289, 253, 3377, 76, 1770, 2904, 2592, 186, 1283, 9424, 253, 3185, 272, 3518, 452, 27736, 4668, 255, 11656, 14623, 6824, 777, 285, 867, 596, 6804, 366, 612, 2384, 3108, 1363, 253, 2933, 285, 9302, 1774, 8236, 289, 3171, 6427, 4111, 276, 2576, 1972, 14623, 3518, 314, 9845, 17392, 559, 13406, 345, 1547, 4344, 272, 12427, 452, 27736, 186, 6309, 849, 867, 276, 253, 2035, 335, 3763, 64, 2055, 1233, 255, 485, 1559, 1409, 1088, 765, 453, 253, 2818, 359, 578, 355, 48, 21225, 781, 414, 52, 20172, 289, 12427, 3122, 544, 377, 186, 355, 12808, 1208, 6584, 10026, 25776, 10026, 2188, 186, 355, 13357, 363, 248, 8321, 12602, 186, 355, 8244, 23562, 289, 5723, 4297, 1202, 186, 355, 340, 4740, 664, 19402, 369, 186, 355, 340, 3179, 5334, 30881, 186, 355, 1427, 455, 272, 11168, 84, 186, 48, 21225, 781, 414, 52, 20172, 4911, 12427, 3122, 544, 377, 186, 2058, 253, 748, 12738, 538, 425, 16820, 289, 10964, 4110, 2818, 255, 2938, 531, 4270, 724, 4230, 366, 248, 3251, 272, 9524, 345, 811, 3518, 452, 27736, 1109, 4470, 1972, 11160, 270, 2080, 272, 253, 1583, 534, 3303, 543, 253, 1461, 272, 8910, 289, 1780, 335, 22166, 255, 292, 396, 916, 2286, 713, 1809, 285, 878, 12807, 7352, 289, 5013, 16901, 276, 3767, 9184, 270, 1452, 255, 66, 11710, 453, 538, 28791, 12055, 341, 7751, 2344, 1701, 13100, 1109, 326, 1350, 596, 1737, 255, 22798, 248, 32429, 721, 811, 3518, 452, 27736, 1109, 4324, 4193, 253, 1119, 9653, 5879, 366, 7123, 314, 2193, 758, 515, 2370, 9260, 4270, 7848, 285, 253, 1773, 272, 1018, 18305, 2325, 285, 1959, 16901, 289, 4029, 276, 4051, 11865, 270, 1452, 255, 344, 1892, 543, 341, 2658, 9437, 11117, 12427, 9542, 24088, 356, 36, 11239, 6528, 406, 505, 5572, 255, 344, 5415, 272, 18305, 4764, 916, 326, 3562, 314, 12808, 1208, 6584, 10026, 25776, 10026, 2188, 186, 673, 543, 2132, 341, 1021, 5017, 724, 461, 725, 285, 2726, 345, 253, 3518, 452, 27736, 3910, 1895, 289, 341, 917, 313, 12842, 1591, 253, 2732, 877, 2657, 1208, 289, 7235, 314, 10089, 25776, 6842, 285, 253, 2508, 285, 1031, 725, 289, 2721, 986, 253, 10638, 14758, 18904, 356, 40, 11255, 406, 8066, 285, 10916, 253, 2129, 272, 248, 1972, 7011, 4130, 270, 600, 672, 1540, 5456, 913, 14631, 84, 255, 23172, 725, 2440, 23939, 255, 332, 12038, 7990, 6617, 270, 10089, 25776, 3910, 359, 3867, 621, 17528, 433, 253, 608, 11255, 8037, 289, 359, 1895, 285, 632, 3499, 1363, 253, 4130, 314, 12808, 1208, 255, 251, 253, 612, 1648, 255, 19461, 285, 253, 2508, 285, 12156, 253, 608, 11255, 4302, 375, 2997, 285, 1811, 3683, 253, 1661, 2129, 272, 253, 4130, 270, 600, 672, 1540, 4383, 892, 10162, 255, 9445, 8341, 366, 612, 1716, 255, 263, 1350, 3504, 2657, 5644, 375, 19054, 18142, 270, 12808, 1208, 3910, 1412, 1267, 596, 5562, 9246, 314, 10249, 253, 10745, 17392, 559, 11168, 1202, 6946, 667, 16048, 822, 313, 3593, 5456, 9338, 255, 2154, 5978, 1042, 7393, 1542, 30492, 356, 4557, 5334, 406, 21077, 785, 335, 608, 11255, 3435, 1737, 2902, 2657, 1208, 270, 22076, 1480, 255, 13775, 1018, 26477, 6709, 5816, 255, 258, 1862, 9653, 285, 1360, 2657, 3747, 270, 1507, 255, 252, 248, 1770, 270, 18380, 2657, 1208, 313, 7812, 289, 3218, 366, 2264, 3600, 1202, 4111, 696, 1633, 341, 396, 13035, 5562, 8355, 314, 974, 248, 5387, 14499, 272, 253, 3641, 877, 2657, 1208, 289, 7235, 289, 253, 7466, 272, 973, 255, 1269, 414, 12808, 1208, 6584, 10026, 25776, 276, 12427, 452, 27736, 186, 13357, 363, 248, 8321, 12602, 186, 340, 2049, 272, 3518, 363, 248, 1972, 1415, 543, 15010, 255, 1229, 12583, 14457, 811, 396, 409, 5618, 363, 248, 23244, 71, 6502, 4830, 335, 3504, 2800, 270, 1452, 255, 344, 3461, 272, 4190, 8399, 543, 652, 8286, 255, 822, 1109, 3560, 253, 1773, 3185, 272, 3518, 452, 27736, 276, 755, 4608, 270, 7571, 480, 255, 344, 13158, 543, 341, 3518, 452, 27736, 620, 253, 1773, 285, 4193, 253, 1119, 9653, 5879, 366, 7123, 289, 5275, 1972, 1922, 1795, 270, 2148, 1018, 3518, 4764, 255, 72, 28825, 409, 2022, 16901, 289, 18772, 255, 27669, 5045, 285, 5135, 1972, 11160, 289, 3171, 6427, 314, 355, 3429, 20433, 268, 7757, 1910, 3291, 547, 71, 6502, 276, 10638, 14864, 5911, 879, 355, 22898, 14758, 18904, 276, 7949, 10026, 16366, 7757, 1910, 186, 8244, 23562, 4911, 5723, 4297, 1202, 186, 8244, 7766, 289, 731, 4297, 1202, 276, 3518, 1972, 4051, 2374, 359, 1774, 2129, 270, 340, 13158, 255, 2691, 255, 3028, 341, 257, 3654, 724, 253, 1266, 1619, 255, 1229, 12583, 259, 2389, 10253, 71, 9407, 255, 4042, 6008, 255, 332, 4190, 8399, 363, 253, 3668, 2992, 270, 15097, 2592, 1716, 724, 652, 2867, 363, 277, 3461, 255, 4714, 461, 285, 253, 5592, 341, 640, 2635, 285, 326, 7719, 8452, 270, 465, 849, 1892, 255, 1662, 3461, 620, 248, 3057, 272, 847, 14, 26480, 341, 777, 285, 326, 9233, 578, 355, 1777, 24147, 3905, 5006, 186, 355, 22898, 12427, 5012, 893, 186, 355, 8244, 23562, 186, 673, 543, 4808, 341, 248, 1472, 3448, 750, 2023, 1306, 864, 3518, 452, 27736, 326, 8972, 270, 600, 916, 8983, 5185, 3519, 3017, 3989, 16218, 1716, 3191, 730, 5154, 453, 19180, 270, 2968, 1892, 255, 2691, 255, 262, 341, 480, 6666, 3232, 12842, 270, 5466, 750, 6842, 285, 248, 13373, 8512, 2023, 285, 452, 27736, 8236, 276, 696, 892, 10162, 375, 5313, 781, 359, 3753, 285, 248, 608, 11255, 746, 806, 720, 285, 6002, 596, 4919, 2975, 276, 3975, 366, 5135, 4190, 289, 4752, 19582, 255, 822, 8632, 4991, 285, 5135, 2933, 2274, 289, 3171, 6427, 314, 974, 596, 1030, 345, 13373, 8512, 1179, 1369, 24147, 3905, 5006, 335, 24779, 452, 27736, 3348, 575, 186, 22898, 12427, 5012, 893, 186, 959, 1979, 341, 917, 4224, 285, 326, 783, 4395, 13209, 276, 9653, 697, 253, 3518, 7267, 272, 1972, 1922, 1795, 270, 10570, 2325, 13598, 276, 3518, 582, 461, 7367, 476, 4599, 285, 582, 366, 3518, 7267, 270, 22898, 3518, 7267, 313, 697, 7253, 892, 1461, 335, 7123, 882, 892, 797, 14349, 2837, 6113, 673, 554, 697, 1440, 270, 7375, 554, 5313, 2023, 285, 253, 11177, 272, 4051, 2374, 2325, 356, 74, 3031, 270, 23436, 85, 255, 68, 551, 1558, 255, 24771, 255, 70, 1777, 25975, 255, 2700, 406, 10461, 341, 9653, 359, 461, 300, 22617, 2862, 1625, 345, 3518, 7859, 270, 1245, 359, 1215, 7751, 2344, 1625, 345, 8540, 2862, 314, 673, 313, 15509, 1232, 341, 253, 748, 29703, 620, 15010, 248, 8428, 276, 9653, 285, 1700, 2634, 453, 11160, 720, 345, 11865, 285, 11771, 878, 270, 600, 313, 5109, 3973, 363, 917, 313, 248, 4319, 4745, 3724, 23222, 1208, 255, 1229, 596, 289, 596, 2800, 9439, 285, 14397, 2406, 9653, 285, 1039, 556, 1395, 4051, 4658, 314, 17405, 2371, 255, 19268, 7267, 276, 253, 1972, 7011, 313, 2216, 276, 1460, 285, 14896, 253, 1716, 272, 2933, 453, 2343, 2399, 7565, 285, 9228, 1716, 341, 6002, 253, 6427, 272, 7259, 1480, 289, 18396, 19067, 314, 974, 596, 1030, 345, 2933, 3518, 7267, 1179, 578, 355, 1099, 313, 10638, 12427, 5012, 893, 879, 355, 919, 285, 1012, 10638, 12427, 5012, 893, 15920, 186, 355, 22898, 12427, 5012, 893, 414, 3295, 7898, 272, 25639, 285, 7898, 272, 26142, 186, 6500, 4297, 1202, 877, 248, 2933, 554, 1967, 1716, 289, 800, 608, 11255, 746, 1633, 341, 6705, 313, 11583, 255, 1229, 929, 777, 335, 818, 8540, 5656, 2862, 270, 340, 1773, 335, 21998, 3897, 313, 3965, 4112, 270, 6426, 6705, 272, 18249, 255, 1458, 363, 253, 23403, 272, 11168, 84, 255, 4627, 9125, 15004, 255, 67, 425, 16820, 255, 1184, 13108, 289, 23407, 359, 5661, 2370, 4051, 3043, 696, 276, 2199, 3412, 6691, 942, 363, 9651, 6691, 289, 253, 26931, 272, 16137, 314, 6500, 4297, 1202, 4652, 25569, 289, 21382, 6705, 2370, 1716, 272, 2399, 3960, 396, 4592, 248, 1737, 1619, 1363, 3828, 452, 27736, 1019, 1662, 22489, 2374, 1906, 5772, 433, 14623, 1207, 386, 1910, 313, 2794, 1451, 799, 1018, 755, 335, 3518, 1716, 272, 8277, 255, 570, 13363, 289, 8298, 314, 974, 596, 1030, 345, 731, 4297, 1202, 1179, 5723, 4297, 1202, 276, 8321, 20823, 5911, 7898, 186, 340, 10159, 15010, 341, 917, 313, 248, 2147, 4395, 13209, 272, 904, 26477, 255, 7762, 1716, 255, 7762, 4564, 255, 332, 1994, 2300, 2876, 1676, 270, 340, 2391, 4753, 5340, 17429, 17641, 285, 248, 1331, 596, 1994, 2325, 7766, 276, 696, 3518, 3645, 335, 452, 27736, 359, 657, 272, 248, 10366, 6569, 272, 5661, 3518, 7399, 255, 4406, 289, 2955, 270, 1696, 285, 1039, 480, 1575, 255, 72, 28825, 777, 285, 8236, 556, 8639, 289, 6427, 2837, 285, 326, 596, 6296, 31204, 289, 1619, 12807, 314, 11892, 12807, 289, 29981, 4668, 359, 5160, 285, 11213, 3518, 7267, 1175, 917, 4592, 1737, 257, 946, 279, 1096, 276, 29981, 289, 253, 9313, 272, 8639, 248, 1754, 1655, 797, 10909, 3897, 802, 332, 1539, 23407, 2867, 363, 1199, 22305, 314, 974, 596, 1030, 345, 1994, 7766, 1179, 1547, 10765, 272, 248, 10638, 29317, 2548, 12989, 23562, 186, 340, 1472, 5964, 664, 1306, 22393, 369, 186, 340, 13202, 15010, 253, 3769, 272, 4467, 453, 248, 2391, 31204, 2023, 285, 248, 1619, 31204, 650, 276, 1972, 4051, 2374, 270, 600, 1633, 13533, 2344, 253, 7658, 289, 7141, 272, 1800, 341, 409, 9849, 276, 253, 5415, 272, 452, 27736, 4697, 270, 673, 652, 4498, 285, 253, 693, 272, 1472, 489, 664, 276, 2933, 14818, 340, 1608, 248, 2441, 2646, 272, 2933, 4961, 285, 326, 4272, 253, 2338, 2096, 1021, 2933, 3767, 31827, 2714, 257, 946, 432, 272, 29981, 4668, 356, 292, 2282, 433, 783, 272, 253, 2084, 276, 253, 2818, 406, 332, 1949, 2572, 480, 867, 289, 2572, 755, 4668, 359, 7259, 270, 1283, 713, 29981, 10862, 341, 4697, 359, 461, 4499, 3101, 642, 255, 1758, 253, 3984, 1528, 255, 332, 2141, 285, 326, 22305, 270, 5549, 16741, 253, 3461, 313, 341, 29981, 4697, 3610, 285, 326, 7152, 596, 5392, 433, 4059, 12492, 366, 9228, 4668, 341, 2141, 285, 326, 22305, 799, 3510, 285, 1539, 8523, 23407, 270, 1452, 255, 344, 1057, 4592, 341, 253, 1071, 13921, 1135, 313, 596, 22305, 289, 596, 7812, 314, 16560, 11558, 4412, 652, 7920, 3414, 2215, 29981, 270, 1777, 25975, 4668, 3610, 285, 19999, 642, 4059, 23407, 882, 2635, 26571, 289, 253, 1770, 285, 2856, 275, 1709, 289, 1199, 1831, 9653, 1360, 3080, 272, 29981, 32547, 270, 21531, 980, 255, 5117, 29317, 2548, 3610, 391, 1267, 29981, 4668, 255, 772, 1232, 1567, 4753, 272, 19735, 1071, 13921, 2862, 314, 340, 693, 272, 29981, 9481, 543, 5340, 363, 248, 1119, 285, 8674, 480, 6173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9845, 6734, 289, 612, 21553, 414, 2809, 2557, 1003, 4996, 2926, 13208, 314, 340, 1854, 15271, 253, 7739, 272, 8766, 4773, 6734, 276, 10031, 2926, 7951, 255, 71, 431, 1375, 268, 345, 253, 1949, 285, 904, 5592, 396, 313, 1215, 15507, 285, 693, 942, 6734, 363, 12276, 1525, 2589, 270, 673, 313, 6658, 341, 632, 3241, 6734, 255, 7713, 799, 3233, 28927, 433, 8766, 4773, 2808, 255, 262, 253, 943, 272, 584, 12045, 877, 871, 375, 596, 14950, 1716, 270, 600, 7006, 313, 8105, 642, 345, 248, 1771, 366, 461, 263, 16005, 4043, 13208, 414, 344, 4169, 272, 599, 2130, 353, 25936, 18147, 323, 1246, 276, 10839, 255, 19008, 10501, 400, 11019, 3968, 330, 2772, 416, 64, 1203, 314, 18, 270, 340, 1619, 414, 13631, 253, 5433, 4036, 186, 600, 1854, 313, 277, 3636, 285, 10189, 871, 13122, 887, 341, 476, 705, 2501, 7607, 838, 7615, 4784, 414, 344, 15916, 272, 2240, 2926, 12276, 985, 289, 253, 1190, 272, 10031, 2926, 7951, 276, 253, 9391, 272, 253, 599, 4166, 2070, 9957, 292, 272, 28975, 13802, 11398, 2926, 356, 9581, 3245, 13331, 255, 17960, 10659, 289, 538, 611, 5611, 64, 2586, 23, 255, 13019, 475, 380, 599, 3340, 10944, 795, 340, 599, 3340, 10944, 9481, 313, 1625, 345, 7755, 253, 3241, 1952, 276, 800, 1395, 1250, 255, 6202, 3906, 285, 253, 13063, 4951, 649, 1662, 17433, 313, 2521, 335, 253, 3634, 1780, 289, 8869, 272, 10031, 2926, 651, 816, 265, 7951, 270, 1452, 255, 347, 536, 7588, 285, 2856, 277, 2110, 272, 253, 10031, 2926, 1952, 255, 1758, 12276, 985, 255, 1554, 3337, 5115, 272, 253, 13692, 11336, 276, 253, 2035, 1509, 1575, 433, 599, 3340, 10944, 255, 264, 3714, 2555, 285, 10189, 253, 871, 4668, 270, 673, 313, 942, 248, 3844, 255, 1766, 751, 285, 867, 345, 253, 10031, 2926, 21846, 3392, 7742, 5591, 18, 406, 1554, 775, 5234, 253, 6008, 272, 253, 1309, 1854, 314, 32401, 78, 1513, 272, 10031, 2926, 255, 2470, 6021, 3909, 7066, 335, 18206, 3906, 255, 3980, 461, 9374, 276, 1539, 1982, 270, 2080, 2338, 313, 255, 264, 672, 326, 9459, 255, 344, 14950, 11270, 272, 10031, 2926, 270, 2447, 6734, 877, 7951, 2434, 253, 1784, 277, 4703, 650, 335, 14950, 1190, 255, 264, 652, 2434, 2697, 248, 11682, 248, 2037, 3941, 270, 340, 6734, 1363, 7951, 620, 838, 2867, 363, 277, 1350, 596, 5160, 1619, 270, 1130, 905, 10031, 2926, 7951, 724, 23449, 289, 860, 392, 921, 433, 651, 816, 261, 255, 264, 620, 838, 1354, 285, 7159, 248, 2505, 272, 6074, 4504, 262, 4002, 937, 255, 7290, 4682, 386, 13245, 285, 277, 1350, 596, 2037, 7314, 1683, 19, 680, 1283, 2856, 248, 21846, 3392, 272, 10031, 2926, 448, 253, 1309, 720, 313, 248, 3941, 1199, 902, 453, 341, 11576, 433, 5220, 7664, 78, 14590, 270, 2447, 3159, 4598, 2325, 1147, 461, 2726, 725, 253, 4788, 272, 878, 255, 264, 2434, 1575, 1331, 596, 4675, 2192, 272, 12535, 289, 31884, 713, 270, 465, 2326, 255, 1534, 359, 6260, 328, 29067, 345, 5174, 20627, 536, 409, 1583, 255, 332, 1156, 22063, 11336, 476, 1509, 1575, 248, 596, 3892, 693, 272, 253, 1895, 878, 270, 1294, 11336, 359, 255, 16081, 632, 255, 11531, 366, 599, 3340, 10944, 289, 800, 14363, 1754, 255, 344, 599, 4166, 2070, 9957, 292, 272, 15102, 10031, 2926, 356, 13019, 475, 380, 24271, 3528, 38, 23230, 20, 680, 340, 9481, 2511, 276, 4605, 366, 599, 3340, 10944, 620, 6300, 2067, 10031, 2926, 1996, 276, 448, 2082, 871, 28400, 270, 3888, 272, 632, 255, 264, 620, 28692, 5205, 3303, 697, 651, 816, 265, 13695, 270, 673, 543, 2282, 433, 7609, 398, 9182, 3245, 13331, 356, 3882, 20, 2219, 3282, 20, 2591, 7498, 406, 332, 255, 24803, 255, 247, 248, 4618, 1194, 2110, 433, 538, 611, 5611, 289, 10064, 268, 356, 2586, 18, 406, 1554, 10031, 2926, 651, 816, 261, 724, 6410, 1213, 272, 27569, 3958, 9166, 3254, 289, 272, 32382, 721, 556, 1395, 16804, 270, 2058, 253, 1112, 720, 255, 344, 1480, 272, 6734, 386, 31858, 620, 5205, 3303, 697, 11270, 255, 4741, 396, 248, 2191, 289, 5907, 544, 3157, 272, 1952, 314, 21661, 255, 344, 599, 3340, 10944, 9481, 543, 1625, 345, 253, 1580, 1190, 272, 3241, 1952, 276, 800, 1395, 1250, 270, 600, 543, 1246, 285, 1223, 3286, 753, 1737, 6734, 255, 17484, 272, 5464, 255, 332, 8412, 1655, 253, 26286, 862, 2216, 276, 4996, 12276, 985, 1683, 21, 406, 2164, 480, 3468, 255, 264, 543, 1575, 285, 1817, 725, 248, 981, 1525, 5051, 341, 5066, 253, 2406, 4576, 272, 596, 730, 248, 9567, 28975, 10031, 2926, 7951, 5591, 22, 406, 4789, 2282, 285, 326, 16804, 753, 5737, 314, 673, 1560, 3574, 285, 326, 248, 14407, 3029, 285, 10189, 755, 2425, 366, 4598, 2325, 255, 332, 285, 2856, 248, 2450, 5848, 272, 10031, 2926, 1625, 345, 6379, 17844, 270, 1130, 2501, 363, 11633, 10031, 2926, 8766, 3536, 313, 7700, 255, 344, 4535, 313, 9224, 4536, 2343, 255, 21125, 341, 2512, 720, 289, 636, 7887, 359, 1895, 335, 11079, 253, 878, 270, 340, 4111, 7095, 10577, 285, 5176, 11527, 5252, 255, 1458, 363, 1018, 248, 26205, 8869, 746, 289, 12452, 248, 4598, 341, 2434, 1575, 277, 3892, 1780, 272, 253, 13730, 789, 314, 7479, 1530, 1940, 596, 8008, 363, 5036, 363, 536, 873, 4267, 253, 16434, 16860, 1115, 270, 465, 1460, 285, 2863, 375, 4113, 13208, 3880, 255, 30647, 285, 253, 13063, 4951, 3714, 2555, 255, 332, 3135, 536, 7588, 285, 1999, 811, 253, 13208, 8700, 345, 285, 10031, 2926, 12276, 985, 255, 1534, 359, 10222, 7148, 1800, 3437, 270, 919, 755, 359, 285, 326, 11397, 5373, 7607, 345, 849, 1892, 272, 253, 2246, 877, 2697, 289, 5464, 314, 1132, 359, 871, 1266, 7148, 12385, 363, 16365, 2697, 289, 5464, 414, 623, 341, 13411, 2697, 8983, 363, 248, 1119, 272, 16325, 5464, 289, 1750, 341, 13411, 2697, 289, 5464, 363, 871, 5140, 255, 9204, 315, 18589, 1716, 270, 1294, 871, 4668, 476, 4034, 838, 1747, 953, 1766, 900, 1045, 332, 953, 2671, 251, 302, 2070, 1045, 6668, 356, 52, 72, 484, 64, 2586, 24, 414, 19, 14, 20, 795, 2447, 253, 599, 3340, 10944, 9481, 313, 1625, 345, 253, 1508, 650, 255, 344, 965, 1804, 4961, 285, 476, 10222, 12976, 255, 2470, 2370, 7148, 10743, 1158, 270, 1130, 253, 1949, 313, 272, 5160, 3769, 335, 253, 7739, 272, 4996, 3241, 878, 255, 264, 939, 326, 2621, 453, 253, 642, 2717, 314, 19, 270, 5573, 5057, 541, 2351, 269, 589, 636, 477, 325, 329, 879, 340, 693, 272, 13208, 363, 2589, 335, 253, 15916, 272, 13063, 1952, 16721, 285, 253, 3828, 2192, 272, 7755, 4996, 6211, 272, 5816, 270, 465, 248, 11753, 2357, 345, 253, 2142, 272, 4996, 12276, 985, 255, 7940, 9645, 16165, 91, 77, 356, 5142, 24, 406, 3495, 26181, 253, 1387, 6193, 272, 2589, 578, 11556, 29111, 4773, 2589, 186, 11556, 29111, 80, 583, 279, 2589, 186, 11556, 9344, 3550, 2589, 186, 11556, 13091, 729, 2589, 186, 11556, 10924, 2589, 186, 34, 2011, 1567, 313, 1687, 433, 542, 29326, 599, 594, 356, 1605, 19, 414, 2599, 14, 2644, 4650, 16994, 268, 277, 2521, 2732, 276, 7148, 28653, 255, 264, 22153, 2893, 2589, 1175, 10353, 2147, 14950, 2633, 314, 974, 253, 10031, 2926, 1784, 255, 1201, 2832, 313, 2340, 2621, 253, 905, 1156, 1697, 272, 2589, 649, 344, 2165, 359, 2518, 433, 556, 2646, 5935, 356, 22984, 729, 2589, 823, 674, 15789, 356, 3350, 3550, 2589, 406, 263, 21647, 356, 14490, 289, 8766, 80, 583, 279, 2589, 795, 1452, 255, 344, 693, 272, 10031, 2926, 13208, 363, 12276, 1525, 2589, 313, 3593, 15789, 276, 2778, 276, 657, 255, 1662, 313, 2033, 285, 4170, 902, 453, 1288, 12032, 285, 13208, 2589, 453, 612, 6059, 314, 974, 253, 905, 657, 272, 253, 2183, 272, 2926, 255, 332, 253, 2183, 272, 1021, 5816, 255, 1534, 620, 838, 248, 2147, 1222, 375, 2496, 272, 13208, 270, 974, 942, 6059, 255, 344, 6335, 2646, 272, 253, 13208, 746, 313, 5708, 255, 332, 13730, 789, 359, 461, 9459, 285, 3272, 276, 2317, 253, 5464, 272, 253, 1430, 10074, 270, 340, 1190, 272, 13730, 789, 1232, 3092, 5307, 345, 1889, 289, 28650, 5627, 414, 344, 6101, 272, 892, 32155, 255, 3228, 13730, 789, 255, 10291, 292, 1256, 375, 953, 3788, 389, 1045, 1201, 512, 789, 255, 332, 705, 345, 314, 4284, 253, 10031, 2926, 1784, 255, 475, 4996, 4170, 255, 1534, 543, 929, 2167, 1222, 335, 13208, 649, 292, 248, 11030, 255, 1534, 359, 929, 21860, 13730, 789, 255, 263, 632, 13730, 789, 1560, 326, 2621, 21860, 270, 465, 942, 248, 3844, 255, 264, 672, 326, 2261, 285, 10809, 877, 248, 13208, 341, 11751, 277, 3157, 272, 16334, 289, 650, 341, 3322, 2838, 10016, 13208, 23080, 314, 340, 3828, 1892, 620, 838, 341, 10031, 2926, 13208, 255, 251, 253, 2753, 255, 16994, 84, 16334, 270, 24919, 1000, 356, 6116, 18, 14, 2055, 19358, 6030, 2053, 2599, 406, 575, 3486, 480, 276, 248, 11753, 4335, 6601, 23, 680, 1130, 2240, 363, 253, 965, 3386, 272, 253, 3204, 1759, 380, 3227, 5546, 13624, 696, 1223, 253, 3084, 366, 253, 2218, 9391, 270, 465, 253, 1275, 480, 11479, 15482, 9093, 255, 332, 650, 6620, 363, 650, 19433, 270, 3295, 341, 720, 8691, 255, 85, 412, 4674, 276, 253, 2172, 20497, 3227, 255, 484, 2926, 3241, 5546, 9753, 276, 2406, 16804, 84, 314, 340, 10489, 276, 905, 5220, 867, 345, 10031, 2926, 4961, 285, 326, 341, 2627, 430, 7951, 363, 248, 4318, 16694, 253, 953, 8287, 1045, 1201, 10539, 16804, 272, 253, 4220, 255, 2003, 253, 2979, 1622, 272, 253, 5405, 272, 23611, 7951, 11751, 651, 816, 265, 13695, 270, 340, 7467, 1892, 255, 292, 6485, 1861, 255, 3489, 838, 7445, 433, 253, 599, 3340, 10944, 867, 270, 340, 7483, 255, 251, 253, 612, 1648, 255, 3489, 9573, 7607, 637, 1184, 814, 3367, 1076, 314, 34, 2147, 4335, 942, 363, 953, 623, 6620, 363, 650, 19433, 1045, 18995, 335, 248, 2692, 1684, 272, 18563, 270, 20541, 255, 264, 9308, 696, 1115, 272, 1952, 536, 1999, 414, 9136, 430, 375, 651, 816, 265, 6708, 272, 9036, 255, 263, 272, 13274, 9783, 2115, 255, 4691, 3586, 345, 2189, 1199, 902, 453, 1288, 3437, 276, 13208, 259, 71, 270, 35, 611, 5611, 289, 10064, 268, 64, 2586, 18, 414, 9741, 14, 9174, 795, 340, 1309, 4628, 558, 1939, 345, 253, 1943, 272, 13208, 289, 12276, 985, 314, 24919, 1000, 709, 4335, 672, 3322, 326, 3022, 285, 1676, 341, 253, 4091, 272, 3241, 1952, 3630, 276, 248, 1829, 1666, 476, 248, 4605, 366, 253, 4091, 272, 253, 13063, 1952, 276, 253, 1112, 1666, 270, 2318, 942, 8594, 6860, 14203, 276, 10031, 2926, 409, 17640, 326, 22894, 270, 974, 1123, 255, 264, 313, 461, 26430, 285, 7159, 341, 253, 2147, 2019, 664, 545, 335, 13208, 1909, 844, 636, 375, 13023, 366, 277, 2870, 80, 2013, 247, 253, 7453, 17806, 2203, 1666, 543, 2398, 285, 253, 1354, 16334, 272, 1288, 1909, 276, 480, 1666, 255, 2470, 363, 480, 313, 6029, 433, 18005, 14345, 16804, 265, 2589, 356, 3032, 299, 2263, 270, 56, 553, 350, 247, 64, 2586, 19, 1436, 1452, 255, 264, 313, 650, 3376, 285, 2222, 341, 3241, 5546, 9753, 276, 2406, 16804, 84, 375, 3272, 2406, 16804, 84, 255, 332, 3958, 1750, 285, 1299, 713, 363, 861, 640, 724, 248, 9166, 906, 10596, 272, 5464, 255, 263, 363, 393, 270, 51, 270, 53, 270, 48, 284, 8, 2996, 5706, 798, 2371, 396, 3929, 66, 12276, 1643, 12084, 453, 253, 4786, 84, 272, 24591, 1075, 356, 69, 8, 2996, 5706, 798, 64, 6015, 23, 414, 14157, 10, 5488, 673, 313, 461, 11057, 285, 1140, 3401, 272, 904, 6028, 844, 253, 7467, 2023, 276, 253, 2496, 20039, 270, 43, 23229, 356, 3882, 25, 414, 6577, 823, 475, 1123, 255, 3489, 253, 1387, 7932, 775, 253, 1778, 272, 748, 38, 248, 70, 578, 34, 835, 599, 357, 60, 353, 251, 2053, 34, 270, 12323, 2017, 3028, 9585, 286, 865, 599, 2671, 382, 84, 248, 314, 340, 4335, 313, 15789, 335, 1967, 4170, 649, 2154, 14608, 255, 66, 1771, 2524, 476, 248, 3458, 270, 1452, 255, 2919, 861, 14637, 313, 3022, 363, 470, 3088, 332, 335, 248, 596, 2037, 2246, 255, 264, 313, 1804, 15427, 904, 480, 2246, 1560, 326, 255, 332, 811, 536, 939, 4113, 253, 9585, 286, 865, 599, 2671, 270, 1130, 876, 23229, 6620, 1485, 12276, 388, 70, 2633, 255, 249, 5261, 1109, 461, 11737 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 4630, 5334, 2492, 9771, 25872, 30597, 516, 13931, 45, 27428, 30934, 40, 54, 21886, 566, 10030, 5386, 22806, 2086, 3528, 566, 21343, 42, 22537, 2825, 23124, 525, 435, 4557, 3721, 34, 186, 30069, 8593, 532, 4630, 5334, 11286, 11286, 911, 42, 4630, 5334, 255, 263, 5738, 2926, 8374, 17195, 3524, 255, 262, 277, 4261, 2496, 2067, 1136, 272, 2926, 1952, 22197, 270, 42, 4630, 5334, 313, 253, 15055, 5045, 1136, 272, 2926, 335, 2031, 2356, 255, 9659, 16310, 289, 9725, 270, 673, 313, 26834, 9089, 433, 2268, 272, 21314, 19663, 6136, 2064, 2742, 515, 255, 344, 5163, 9004, 289, 6836, 49, 4769, 452, 1385, 21340, 255, 332, 543, 4546, 276, 64, 2586, 26, 314, 14691, 58, 8096, 8593, 610, 4630, 31255, 7118, 11286, 11286, 32, 911, 42, 4630, 5334, 313, 7869, 433, 905, 11443, 255, 19008, 255, 31810, 255, 16358, 813, 255, 3449, 14311, 289, 5033, 5902, 4988, 6185, 255, 1467, 64, 20, 13, 1637, 27478, 6185, 276, 253, 2886, 2900, 255, 332, 21537, 3918, 14023, 270, 673, 313, 652, 248, 8729, 335, 19921, 285, 7986, 255, 3449, 14311, 289, 7631, 186, 14759, 2729, 270, 340, 2873, 1136, 313, 2621, 433, 1021, 285, 326, 253, 905, 2261, 657, 272, 532, 4630, 5334, 270, 1065, 476, 285, 1179, 64, 20, 1114, 6818, 255, 4789, 366, 2593, 19354, 255, 332, 2428, 64, 2055, 2084, 356, 1551, 285, 64, 1499, 604, 3127, 795, 2828, 4173, 720, 313, 1687, 448, 253, 1275, 285, 3976, 486, 5202, 285, 253, 2428, 6762, 270, 9939, 632, 2084, 270, 1132, 313, 929, 2962, 16579, 335, 10985, 5202, 314, 340, 905, 1156, 3376, 285, 1290, 313, 341, 253, 1136, 1147, 10317, 2230, 486, 14043, 272, 253, 19354, 270, 673, 1147, 10317, 1136, 811, 1020, 360, 476, 28136, 253, 9815, 270, 673, 3642, 1661, 2335, 1747, 30415, 741, 289, 9065, 25501, 270, 9506, 3021, 30790, 29347, 6611, 46, 2492, 30415, 741, 313, 904, 650, 1147, 255, 475, 9065, 25501, 6842, 285, 2873, 248, 1123, 255, 2446, 3851, 335, 248, 8490, 27400, 3062, 44, 15127, 285, 1012, 277, 6229, 966, 276, 248, 11975, 270, 1065, 2946, 272, 904, 396, 313, 697, 255, 6202, 812, 253, 1661, 1030, 4812, 285, 1290, 800, 4366, 270, 1129, 359, 3851, 335, 289, 360, 873, 8052, 4340, 313, 657, 272, 253, 1392, 253, 2924, 3722, 285, 1140, 396, 270, 19350, 2873, 1683, 673, 409, 326, 8052, 4340, 313, 785, 799, 7445, 356, 11227, 248, 2483, 15078, 406, 22932, 1644, 2084, 942, 363, 285, 2428, 953, 12719, 32588, 335, 2593, 8493, 4387, 289, 11409, 270, 344, 19354, 1045, 255, 1065, 6441, 253, 9815, 285, 3722, 11327, 5437, 465, 696, 8490, 1140, 253, 1030, 5874, 1147, 480, 1030, 2141, 276, 276, 253, 1949, 270, 3811, 360, 1140, 396, 255, 344, 1771, 17241, 332, 953, 19963, 6880, 1045, 1129, 1012, 253, 2428, 453, 253, 1697, 272, 2084, 270, 6409, 487, 289, 2921, 396, 2215, 253, 1949, 314, 2124, 1156, 2873, 5996, 21512, 5886, 1179, 632, 253, 2084, 3722, 285, 1012, 277, 2946, 272, 904, 1697, 272, 1030, 313, 2216, 289, 2572, 14337, 375, 1161, 25501, 356, 263, 248, 4069, 272, 253, 871, 406, 262, 1747, 335, 270, 1130, 360, 1179, 253, 2084, 255, 2120, 248, 19135, 285, 775, 1441, 1156, 1030, 942, 363, 11396, 255, 18831, 289, 4929, 270, 3811, 360, 359, 882, 366, 2873, 632, 253, 2084, 255, 7721, 317, 806, 253, 1771, 289, 775, 1441, 2735, 5622, 1156, 2731, 270, 859, 360, 1200, 818, 1030, 12032, 285, 253, 2084, 255, 5622, 396, 5173, 2634, 270, 1065, 672, 1350, 326, 1865, 285, 2428, 783, 2084, 363, 360, 1179, 270, 9939, 253, 2084, 650, 433, 650, 366, 253, 870, 272, 253, 775, 11434, 2731, 272, 253, 1771, 270, 9852, 1179, 253, 1771, 3135, 255, 1129, 558, 1140, 396, 3077, 285, 1140, 1661, 1030, 433, 14337, 270, 1130, 5036, 363, 360, 1140, 277, 2428, 255, 8216, 396, 2215, 253, 1949, 345, 253, 1949, 1854, 1262, 360, 558, 461, 1012, 4173, 720, 285, 3976, 486, 2428, 285, 253, 2428, 6762, 314, 6456, 2393, 272, 2873, 1136, 23998, 4072, 20805, 14, 17428, 2084, 393, 22120, 11559, 16385, 1845, 5299, 5434, 1845, 5937, 11931, 1845, 5350, 6138, 1845, 12843, 11559, 1072, 80, 3502, 453, 248, 953, 3527, 268, 6526, 1045, 475, 3919, 19354, 1845, 22701, 272, 253, 1771, 13144, 1880, 272, 10603, 6880, 2735, 2938, 7250, 1845, 10474, 84, 23901, 462, 11325, 8937, 2735, 653, 83, 1044, 186, 14029, 3936, 53, 2639, 44, 956, 18, 566, 2639, 44, 956, 19, 7995, 414, 643, 14, 1623, 3417, 7995, 414, 2055, 3417, 5660, 1080, 1464, 2018, 5208, 276, 253, 1048, 3941, 64, 19, 360, 476, 285, 2921, 277, 4488, 2625, 697, 64, 971, 285, 64, 7434, 3941, 64, 18, 1790, 1129, 476, 285, 2921, 248, 1909, 696, 13461, 360, 285, 1309, 8490, 697, 64, 5446, 1909, 414, 260, 5180, 335, 375, 2215, 272, 253, 4161, 270, 34, 6658, 2115, 335, 2697, 313, 27, 18, 270, 16433, 356, 932, 270, 66, 4240, 313, 2282, 1790, 18, 270, 17624, 320, 253, 4161, 289, 1402, 486, 1583, 255, 7299, 360, 4407, 375, 15348, 270, 21537, 2731, 359, 29339, 406, 19, 270, 11260, 8351, 276, 1360, 272, 486, 19, 270, 14941, 356, 932, 270, 344, 1967, 2192, 276, 25826, 6029, 433, 3973, 3401, 270, 1065, 476, 285, 2921, 1464, 696, 4977, 1606, 313, 785, 406, 21938, 414, 10082, 4745, 255, 13091, 11373, 255, 10583, 4094, 15, 20, 270, 5657, 10426, 10967, 84, 272, 632, 2063, 31931, 270, 20, 270, 9864, 253, 15786, 25826, 289, 2286, 1515, 2854, 255, 7548, 2854, 255, 81, 589, 4170, 2096, 360, 28016, 4407, 366, 396, 270, 329, 11798, 255, 85, 1862, 6965, 406, 21, 270, 2193, 26174, 366, 248, 2136, 5950, 268, 8490, 270, 22, 270, 859, 917, 313, 720, 2299, 448, 253, 1275, 255, 21219, 858, 486, 5202, 289, 2443, 818, 13208, 375, 25250, 11676, 314, 15587, 272, 2854, 11738, 38, 9985, 11851, 35, 2540, 9985, 11851, 45, 15748, 9985, 2540, 6851, 30740, 16620, 542, 6949, 21222, 7008, 9658, 186, 47, 1792, 84, 11882, 1723, 2582, 83, 1044, 3044, 28304, 3044, 26657, 66, 4845, 285, 4845, 285, 1223, 277, 16227, 4745, 31317, 19566, 6363, 1959, 285, 1959, 285, 1223, 248, 17772, 4745, 13263, 7769, 66, 10372, 285, 10372, 285, 6957, 253, 5481, 1120, 6768, 4081, 66, 2283, 285, 1334, 285, 6957, 253, 10061, 1120, 26933, 315, 26933, 66, 6770, 285, 6770, 285, 4105, 248, 6770, 13681, 12866, 285, 8596, 15132, 308, 285, 1223, 783, 12042, 2050, 4019, 20821, 66, 12042, 2050, 285, 12042, 10134, 4560, 315, 25854, 1737, 66, 6734, 285, 12042, 10134, 285, 2714, 6608, 14717, 12599, 285, 4496, 285, 2714, 10437, 31033, 10222, 66, 1784, 272, 285, 2714, 23776, 6304, 8170, 303, 1202, 285, 2904, 285, 4458, 3259, 16913, 5145, 66, 5849, 659, 285, 5752, 285, 4105, 248, 5849, 659, 9907, 15005, 285, 8492, 285, 1115, 1042, 4560, 315, 4856, 11884, 2904, 285, 15448, 285, 27707, 642, 66, 5752, 285, 19661, 253, 5481, 66, 8492, 285, 528, 24333, 253, 10061, 66, 15448, 253, 1508, 5481, 253, 3704, 5481, 3510, 285, 3510, 366, 2736, 285, 987, 8376, 4393, 7118, 2540, 58, 6039, 655, 51, 3238, 5386, 9985, 2540, 5334, 186, 29364, 1309, 277, 9130, 5180, 341, 313, 6029, 433, 3401, 270, 465, 486, 532, 4630, 5334, 4488, 486, 854, 1711, 558, 326, 3851, 335, 2729, 270, 10173, 1076, 2115, 366, 5261, 5665, 8490, 5016, 6740, 8668, 341, 2804, 2307, 1018, 18736, 12391, 416, 2132, 7173, 341, 5261, 2428, 253, 4488, 1949, 15610, 1372, 3401, 341, 1360, 253, 5180, 416, 2132, 6101, 1790, 898, 3632, 3044, 12786, 285, 2561, 8729, 6582, 29748, 64, 7434, 1909, 680, 34, 1916, 15127, 52, 5386, 566, 2639, 44, 64, 19, 516, 5168, 28343, 11623, 10030, 15993, 8494, 253, 3368, 272, 277, 4488, 1949, 262, 2521, 285, 2697, 248, 4833, 4488, 313, 2521, 285, 9823, 248, 4833, 4488, 276, 2669, 270, 974, 632, 4488, 17551, 255, 1129, 939, 965, 28433, 755, 64, 20, 2938, 31269, 27, 18, 270, 5810, 2090, 19, 270, 16874, 20, 270, 465, 5784, 1909, 186, 37, 29714, 3475, 52, 4021, 6039, 416, 393, 31581, 27400, 29368, 566, 2639, 44, 64, 19, 16241, 313, 6507, 6807, 16153, 276, 253, 1280, 2847, 270, 6309, 720, 255, 15615, 4691, 4324, 5149, 253, 3967, 276, 253, 4717, 270, 2522, 360, 4407, 375, 15348, 366, 480, 32510, 32, 5810, 2090, 414, 5810, 2090, 4704, 253, 4161, 341, 409, 1790, 21451, 326, 1540, 276, 486, 3241, 2669, 270, 465, 480, 1123, 4488, 1949, 255, 344, 7987, 313, 1472, 15615, 1306, 7, 1472, 13943, 1306, 3961, 5126, 270, 959, 2524, 2921, 4599, 3589, 272, 480, 7987, 270, 959, 939, 2921, 849, 4488, 554, 27604, 255, 7450, 255, 898, 3632, 1790, 28335, 5601, 366, 253, 7987, 15, 16874, 414, 4586, 5674, 359, 253, 1909, 276, 253, 1949, 696, 3338, 471, 811, 253, 1967, 3303, 10577, 2307, 270, 2467, 536, 1200, 253, 9128, 1472, 14597, 315, 16153, 8034, 1099, 1147, 480, 3338, 471, 697, 253, 2325, 911, 959, 652, 1200, 1472, 64, 9860, 315, 5149, 8034, 1099, 313, 253, 4605, 911, 1283, 2921, 253, 4488, 536, 939, 2128, 965, 697, 253, 15873, 811, 253, 3622, 366, 253, 4161, 2576, 3401, 1790, 30651, 2371, 486, 3101, 721, 1909, 314, 37, 29714, 3475, 52, 4021, 6039, 416, 393, 31581, 27400, 29368, 566, 2639, 44, 64, 19, 16241, 313, 6507, 6807, 16153, 276, 253, 1280, 2847, 270, 6309, 720, 255, 15615, 4691, 4324, 5149, 253, 3967, 276, 253, 4717, 270, 2522, 360, 4407, 375, 15348, 366, 480, 32510, 32, 465, 5784, 2285, 414, 30651, 536, 777, 285, 15112, 253, 5587, 1909, 270, 5324, 313, 253, 1949, 13590, 471, 285, 582, 2232, 911, 2467, 414, 2522, 360, 4407, 375, 15348, 366, 480, 4335, 911, 864, 2428, 480, 1949, 5123, 536, 1349, 2428, 396, 20897, 315, 1790, 31664, 270, 1283, 582, 480, 536, 1349, 693, 248, 7173, 11561, 2869, 414, 1173, 4488, 554, 7173, 313, 253, 905, 1156, 5779, 276, 253, 2889, 4488, 270, 3651, 396, 313, 253, 5779, 341, 3276, 849, 8003, 276, 5601, 285, 904, 313, 1285, 5208, 272, 471, 433, 253, 4488, 1949, 270, 3431, 270, 465, 253, 1123, 1949, 1861, 849, 7173, 409, 914, 326, 650, 272, 871, 3376, 414, 673, 313, 4407, 341, 2325, 558, 5149, 3526, 276, 253, 4717, 911, 2986, 7543, 313, 461, 4407, 341, 2325, 558, 5149, 3526, 276, 253, 4717, 911, 22087, 3146, 2428, 276, 849, 2605, 255, 4286, 642, 904, 359, 360, 2779, 285, 2921, 276, 973, 8490, 270, 3193, 1831, 335, 1090, 453, 4488, 1949, 255, 7855, 285, 4496, 486, 9036, 363, 1331, 363, 360, 409, 566, 627, 285, 2286, 3973, 3401, 314, 5292, 2319, 5996, 21512, 340, 2084, 359, 276, 32663, 52, 289, 360, 6761, 11825, 10596, 335, 650, 1031, 448, 248, 720, 270, 6798, 559, 882, 253, 32663, 272, 2084, 335, 696, 360, 558, 326, 7752, 253, 11825, 270, 4731, 253, 2084, 1790, 7384, 642, 904, 10927, 3488, 6700, 3062, 1030, 313, 2216, 356, 3011, 255, 2529, 255, 8744, 255, 6609, 6965, 406, 32420, 1774, 1909, 356, 2655, 619, 16092, 4060, 1498, 1909, 406, 1316, 253, 11825, 6955, 9930, 500, 1720, 799, 360, 2128, 486, 1661, 1030, 558, 2404, 270, 465, 973, 3127, 640, 558, 2286, 360, 783, 720, 285, 860, 249, 1167, 253, 2428, 1790, 1269, 642, 253, 1949, 2415, 285, 1179, 253, 1949, 345, 341, 720, 341, 558, 1199, 5889, 285, 1140, 253, 2428, 2770, 799, 253, 11825, 1423, 186, 2531, 14569, 21512, 340, 1136, 5927, 272, 1464, 2731, 25869, 5381, 64, 18, 253, 10319, 5202, 2147, 2084, 697, 3068, 255, 4983, 8794, 1845, 30473, 255, 4983, 8657, 16, 21588, 255, 4983, 6417, 255, 332, 248, 1684, 272, 2011, 6241, 4161, 1964, 270, 600, 657, 19149, 877, 2172, 289, 3169, 3417, 25869, 5381, 64, 19, 253, 10319, 313, 1687, 248, 14329, 7814, 345, 248, 3325, 289, 313, 5208, 285, 4482, 345, 248, 1829, 4161, 270, 340, 10319, 620, 650, 8223, 285, 7468, 1485, 8094, 448, 2561, 255, 475, 877, 650, 289, 871, 3417, 270, 340, 854, 13767, 1232, 13461, 650, 375, 871, 5801, 268, 10732, 2084, 25869, 5381, 64, 20, 253, 854, 13767, 289, 10319, 6435, 276, 248, 4628, 272, 596, 6896, 2491, 289, 4292, 696, 359, 713, 4336, 5701, 285, 253, 4161, 7814, 276, 5381, 64, 19, 270, 340, 4628, 19149, 877, 2172, 289, 3169, 3417, 314, 8230, 3021, 44, 23958, 2281, 2500, 359, 3022, 453, 5163, 26343, 1190, 24940, 255, 42, 4630, 5334, 21314, 2133, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23, 11543, 84, 15210, 5251, 3291, 29724, 608, 323, 313, 2465, 2830, 289, 10647, 285, 7328, 19404, 186, 355, 1130, 253, 8858, 423, 888, 255, 1129, 672, 2002, 24265, 289, 16042, 2526, 314, 355, 19707, 3490, 5152, 1811, 363, 486, 9023, 90, 8858, 423, 888, 255, 332, 360, 1560, 1140, 341, 360, 409, 22901, 783, 3845, 1811, 314, 355, 20410, 9751, 409, 652, 2404, 363, 248, 943, 272, 486, 8858, 9235, 289, 3964, 1811, 314, 1065, 2865, 812, 811, 31309, 289, 18374, 2507, 248, 9023, 90, 8858, 409, 326, 270, 340, 1415, 6109, 313, 341, 486, 8858, 409, 326, 423, 4494, 255, 332, 917, 359, 1829, 4751, 360, 939, 6061, 642, 335, 285, 812, 861, 5951, 345, 253, 1250, 5044, 270, 465, 480, 2357, 255, 28170, 1900, 448, 3952, 272, 253, 905, 6040, 24523, 341, 486, 9023, 90, 8858, 313, 9235, 255, 292, 1020, 363, 904, 360, 409, 582, 285, 1927, 7045, 486, 8858, 1095, 270, 1294, 4751, 255, 1458, 363, 8265, 6677, 289, 1811, 14592, 255, 6775, 341, 5951, 345, 253, 1250, 2152, 285, 9235, 486, 8858, 289, 15666, 486, 2147, 1095, 270, 4731, 345, 285, 1636, 253, 4751, 341, 486, 9023, 90, 8858, 313, 9235, 289, 904, 360, 409, 582, 285, 1360, 486, 8858, 1095, 7078, 255, 7299, 360, 476, 8370, 11374, 1800, 375, 359, 1215, 3851, 285, 2022, 486, 8858, 1095, 314, 340, 16376, 559, 272, 608, 323, 3548, 186, 9381, 285, 800, 1869, 345, 253, 1352, 255, 344, 8858, 313, 5392, 5877, 285, 363, 253, 1508, 2066, 270, 16193, 17733, 1530, 341, 3782, 9751, 255, 1532, 14013, 255, 332, 3052, 359, 1509, 276, 253, 8858, 270, 340, 5405, 272, 253, 24277, 4529, 746, 32603, 917, 363, 1020, 255, 332, 396, 313, 4931, 276, 10145, 7961, 4171, 453, 15154, 270, 4061, 80, 751, 255, 21410, 12523, 255, 5937, 12671, 255, 332, 11212, 359, 1215, 248, 1831, 272, 253, 1095, 1800, 341, 409, 943, 453, 277, 20727, 8858, 270, 6214, 255, 264, 409, 8465, 253, 5455, 272, 29115, 5358, 14473, 844, 2481, 289, 20289, 4028, 314, 1283, 4458, 3229, 3635, 255, 623, 1349, 2626, 248, 3229, 8858, 270, 34, 10088, 3203, 255, 9264, 3649, 255, 332, 2688, 5281, 409, 870, 360, 3235, 480, 270, 1283, 7720, 253, 8858, 17079, 289, 300, 30122, 8858, 1095, 255, 2691, 255, 25269, 3957, 1560, 326, 2555, 335, 945, 366, 9023, 90, 8858, 314, 23, 11543, 84, 341, 5251, 3291, 29724, 608, 323, 313, 2465, 2830, 7884, 1832, 285, 3862, 186, 4914, 29724, 8858, 6746, 255, 292, 3388, 433, 2554, 255, 262, 248, 2559, 276, 696, 253, 11374, 9031, 709, 17079, 15766, 717, 255, 6985, 8305, 7816, 285, 4100, 253, 18300, 270, 27537, 2426, 255, 1458, 363, 19407, 751, 255, 18160, 255, 28892, 255, 332, 1350, 20289, 4028, 255, 4993, 943, 453, 480, 270, 1452, 255, 66, 9023, 90, 8858, 409, 326, 5352, 366, 253, 3163, 4199, 270, 2467, 359, 3952, 10889, 341, 486, 8858, 313, 30718, 578, 18, 270, 465, 20450, 22123, 641, 186, 340, 24277, 2191, 2669, 285, 4909, 375, 3822, 313, 6677, 270, 12342, 255, 4002, 6854, 6677, 409, 1783, 248, 3251, 272, 1095, 2491, 255, 1758, 9023, 90, 8858, 6746, 270, 3651, 253, 8858, 313, 596, 14544, 544, 799, 396, 313, 29337, 255, 27854, 1054, 289, 612, 7961, 7816, 409, 4100, 253, 18300, 270, 465, 20450, 25231, 289, 253, 8858, 17079, 3714, 1319, 14544, 544, 363, 253, 8858, 423, 888, 270, 600, 672, 943, 276, 248, 1319, 2319, 272, 2426, 844, 2826, 255, 3006, 80, 751, 255, 332, 12679, 276, 253, 16803, 314, 19, 270, 19707, 3490, 3347, 1184, 1416, 186, 340, 11374, 746, 709, 3078, 3393, 313, 285, 7775, 1454, 289, 20475, 307, 369, 6578, 270, 600, 901, 672, 326, 304, 2349, 1087, 433, 2982, 285, 253, 8858, 17079, 255, 822, 409, 943, 276, 17822, 14592, 289, 11022, 9628, 270, 1130, 253, 8858, 423, 888, 255, 17760, 3490, 5152, 1811, 255, 332, 360, 1560, 1140, 341, 360, 409, 22901, 783, 3845, 1811, 270, 6214, 255, 1129, 1560, 2002, 1319, 2826, 255, 3006, 80, 751, 255, 332, 612, 11374, 2426, 314, 20, 270, 22012, 23252, 2517, 12456, 186, 340, 8858, 26601, 255, 822, 313, 1509, 725, 272, 689, 412, 454, 272, 902, 4171, 255, 383, 1227, 917, 270, 600, 26601, 313, 2521, 335, 4529, 1295, 289, 15539, 276, 269, 12457, 1042, 6918, 14993, 289, 5938, 270, 340, 4200, 272, 4171, 276, 253, 8858, 672, 326, 19623, 433, 2982, 255, 9267, 1365, 268, 253, 4529, 746, 270, 28781, 2517, 1295, 11283, 363, 253, 8858, 423, 888, 289, 253, 26601, 3714, 596, 10088, 270, 1130, 248, 943, 255, 1534, 672, 326, 9033, 5938, 255, 1526, 6677, 255, 332, 277, 6172, 276, 2147, 1095, 314, 21, 270, 9852, 11164, 8958, 186, 2080, 6040, 968, 272, 9023, 90, 8858, 6746, 313, 11212, 270, 22714, 487, 285, 253, 8858, 17079, 672, 2071, 6578, 453, 1285, 5123, 12419, 255, 822, 672, 943, 276, 1730, 1606, 289, 11212, 270, 1065, 672, 2002, 2650, 1606, 289, 248, 5281, 276, 11212, 363, 486, 8858, 423, 888, 289, 486, 24277, 2508, 285, 10244, 6578, 11283, 314, 22, 270, 3403, 462, 606, 3347, 1184, 1416, 186, 340, 4100, 279, 8850, 746, 255, 822, 313, 3145, 285, 253, 8858, 289, 313, 1412, 5877, 285, 363, 253, 953, 8001, 2066, 4551, 262, 650, 272, 800, 1395, 8850, 1716, 270, 34, 4319, 1352, 272, 1251, 620, 5701, 253, 13371, 398, 7404, 255, 822, 16819, 480, 746, 285, 253, 2066, 255, 332, 4103, 1095, 270, 465, 20450, 289, 4529, 12764, 6297, 345, 433, 8858, 2982, 409, 1836, 9751, 289, 943, 276, 2426, 844, 6091, 289, 6735, 270, 465, 20450, 4623, 1392, 363, 253, 8858, 423, 888, 255, 332, 4529, 746, 2274, 4623, 725, 255, 822, 409, 7989, 9751, 632, 1591, 314, 23, 270, 21988, 938, 11798, 285, 28954, 9305, 186, 340, 2559, 272, 253, 2526, 289, 253, 8858, 359, 6804, 2398, 270, 465, 20450, 289, 4529, 12764, 6297, 345, 433, 8858, 2982, 409, 943, 276, 2526, 1936, 844, 19873, 255, 446, 23945, 255, 332, 30203, 270, 465, 20450, 25231, 289, 4529, 2274, 16713, 363, 253, 8858, 423, 888, 255, 822, 672, 943, 276, 24265, 255, 6452, 1386, 2526, 314, 340, 13891, 26723, 272, 3291, 29724, 608, 323, 186, 4914, 29724, 8858, 409, 852, 363, 248, 943, 272, 248, 966, 272, 902, 2189, 270, 1294, 1540, 248, 4352, 3203, 255, 20792, 255, 4954, 2573, 255, 20585, 84, 255, 332, 15000, 276, 253, 1632, 270, 465, 20450, 276, 253, 1352, 409, 943, 453, 248, 3203, 991, 276, 9326, 3845, 255, 26290, 255, 332, 18228, 14808, 255, 822, 409, 3544, 253, 8858, 17079, 270, 6214, 255, 598, 27168, 2688, 409, 3544, 253, 8858, 17079, 289, 1783, 6677, 270, 4914, 29724, 8858, 409, 652, 852, 363, 248, 943, 272, 5938, 844, 6342, 66, 806, 18139, 289, 1324, 15690, 8871, 806, 18139, 356, 10669, 18074, 795, 26995, 7705, 289, 1602, 4030, 15886, 4597, 15879, 4705, 356, 47, 5427, 30402, 406, 505, 3401, 272, 6684, 341, 409, 3544, 253, 8858, 17079, 270, 4914, 29724, 8858, 6746, 409, 652, 326, 18932, 483, 433, 3752, 15000, 844, 17252, 289, 6391, 10804, 314, 22975, 289, 599, 28164, 28682, 285, 12262, 608, 323, 2465, 2830, 186, 1132, 359, 2032, 8705, 289, 11148, 1889, 360, 409, 1039, 285, 1360, 8858, 9235, 861, 360, 476, 2426, 272, 9023, 90, 8858, 6746, 270, 2467, 359, 248, 1831, 1476, 1133, 578, 18, 270, 28706, 3414, 566, 4060, 1498, 30481, 186, 13727, 3845, 672, 1039, 9023, 90, 8858, 6746, 2426, 8247, 270, 1294, 1560, 1540, 15459, 255, 26290, 255, 4835, 25113, 255, 332, 9326, 3845, 270, 28706, 6177, 755, 3845, 453, 486, 3203, 409, 5768, 8858, 9235, 289, 2587, 6677, 314, 19, 270, 20724, 248, 13857, 17914, 5555, 1544, 17442, 186, 34, 3203, 2450, 272, 3845, 341, 359, 991, 276, 6578, 409, 1360, 8858, 9235, 270, 20724, 248, 2814, 272, 8349, 255, 28360, 255, 12431, 11887, 255, 332, 3178, 272, 991, 10602, 3315, 314, 20, 270, 28861, 24428, 186, 21047, 409, 25555, 9023, 90, 8858, 6746, 2426, 433, 7233, 596, 6677, 289, 19623, 1003, 253, 26601, 272, 253, 8858, 270, 19714, 7890, 255, 90, 12582, 255, 3795, 3138, 255, 332, 612, 2688, 4518, 7072, 2142, 409, 1360, 8858, 9235, 433, 5815, 2688, 314, 21, 270, 5390, 3122, 828, 19356, 186, 8397, 276, 2147, 255, 1758, 8858, 1095, 255, 9994, 1929, 345, 3964, 2512, 3052, 270, 1283, 7076, 276, 8858, 9235, 255, 2453, 335, 64, 24, 14, 25, 2954, 272, 3052, 973, 4273, 314, 22, 270, 6307, 12167, 6754, 186, 19504, 7705, 255, 17760, 27640, 10778, 255, 332, 14112, 6778, 359, 248, 1831, 10379, 341, 409, 1360, 8858, 9235, 270, 340, 1250, 10379, 335, 360, 672, 326, 4507, 433, 8094, 366, 486, 5831, 8037, 314, 919, 285, 31289, 3291, 29724, 608, 323, 18045, 748, 1122, 2465, 4494, 186, 2631, 486, 9023, 90, 8858, 620, 423, 4494, 255, 1129, 1349, 1409, 2913, 285, 3214, 396, 453, 10228, 1562, 270, 2467, 359, 783, 7875, 335, 14126, 9023, 90, 8858, 6746, 578, 18, 270, 23879, 248, 25240, 17442, 186, 34, 26520, 3203, 313, 2521, 335, 10145, 9023, 90, 8858, 6746, 270, 20724, 248, 2814, 272, 8349, 255, 28360, 255, 12431, 11887, 255, 332, 3178, 272, 991, 10602, 3315, 314, 19, 270, 19167, 24428, 186, 4914, 29724, 8858, 6746, 409, 943, 453, 2688, 19623, 1003, 253, 26601, 709, 18701, 4200, 276, 253, 8858, 270, 19714, 7890, 255, 3795, 3138, 255, 332, 612, 2688, 4518, 7072, 3897, 409, 870, 285, 2336, 2688, 289, 29885, 1042, 9023, 90, 8858, 6746, 314, 20, 270, 8724, 6951, 451, 7705, 16592, 452, 5755, 186, 340, 4200, 272, 253, 8858, 26601, 409, 326, 19623, 433, 11353, 255, 822, 409, 943, 276, 9023, 90, 8858, 6746, 270, 1316, 1575, 255, 27506, 2634, 453, 11353, 255, 332, 861, 360, 1349, 1409, 713, 255, 13893, 697, 3353, 248, 2198, 8202, 6726, 285, 870, 1927, 253, 4200, 272, 253, 8858, 26601, 314, 21, 270, 6307, 17195, 335, 9297, 393, 29779, 9352, 186, 10617, 23175, 9352, 672, 326, 248, 3038, 276, 9023, 90, 8858, 270, 1283, 870, 2071, 9023, 90, 8858, 6746, 255, 13893, 697, 3964, 6034, 335, 1454, 23175, 9352, 289, 10482, 8056, 3845, 453, 486, 3203, 314, 22, 270, 6187, 1369, 67, 7705, 289, 24363, 27640, 3122, 9484, 186, 4158, 9543, 11374, 10778, 289, 28309, 409, 1360, 8858, 1095, 289, 29885, 1042, 9023, 90, 8858, 6746, 270, 19504, 7705, 3036, 433, 19594, 253, 8858, 10165, 1894, 11374, 10778, 409, 870, 486, 1352, 3084, 1392, 1454, 4790, 285, 7076, 276, 11022, 9628, 270, 1316, 360, 1409, 713, 1213, 255, 4084, 8858, 558, 13531, 360, 314, 4914, 29724, 8858, 6746, 409, 326, 277, 31309, 289, 18374, 2559, 255, 772, 366, 253, 1250, 1778, 255, 344, 8858, 409, 14709, 289, 7696, 16985, 409, 326, 13882, 270, 1065, 409, 7076, 8858, 9235, 289, 5013, 486, 2147, 1095, 433, 16631, 253, 3338, 85, 1318, 4751, 272, 248, 9235, 8858, 255, 18770, 268, 486, 3203, 289, 1119, 272, 1372, 255, 332, 3353, 1661, 10379, 270, 23074, 486, 5831, 8037, 861, 360, 8534, 453, 9023, 90, 8858, 6746, 285, 2762, 253, 1763, 2077, 272, 2913, 335, 360, 270, 1065, 409, 11947, 486, 11374, 1095, 289, 19067, 366, 720, 289, 5119, 314, 355, 919, 12744, 16390, 7543, 26195, 285, 2465, 265, 3291, 29724, 608, 323, 255, 19930, 19247, 335, 14467, 1683, 993, 26, 255, 18037, 64, 21, 795, 8397, 1441, 270, 7348, 3343, 5024, 15, 6452, 1441, 3411, 16, 6452, 16, 1432, 20723, 1503, 4301, 14, 264, 1938, 629, 3665, 31218, 265, 26384, 29724, 3689, 323, 186, 2281, 253, 2143, 345, 480, 6663, 255, 1758, 2755, 8003, 289, 818, 612, 1095, 5594, 1030, 255, 505, 13870, 285, 1552, 1030, 914, 270, 5213, 1030, 16, 5524, 762, 345, 480, 6663, 359, 461, 6035, 285, 14892, 255, 28742, 255, 14684, 375, 2071, 818, 1807, 255, 332, 939, 10317, 326, 248, 14170, 335, 1095, 289, 2755, 6813, 341, 409, 326, 2843, 433, 486, 1395, 10564, 16, 17257, 3779, 270, 959, 448, 613, 9458, 25165, 2890, 392, 255, 2687, 19658, 360, 285, 5864, 248, 3779, 1485, 2576, 818, 1095, 375, 3203, 1889, 255, 2470, 818, 1889, 2398, 285, 248, 1661, 5653, 375, 2559, 15, 1, 66, 25968, 7842, 9, 1908, 3680, 77, 646, 30, 3928, 10241, 547, 17671, 13, 4165, 14648, 15541, 5785, 16235, 66, 30036, 77, 646, 31374, 4023, 77, 646, 31374, 32151, 30, 3819, 680, 475, 2062, 276, 311, 646, 578, 339, 1380, 7830, 13, 531, 6873, 953, 10, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7083, 589, 9542, 589, 10137, 11387, 2926, 1547, 1223, 2845, 2556, 325, 887, 272, 16635, 391, 272, 2554, 255, 84, 6037, 255, 14349, 289, 1265, 2677, 1758, 4584, 589, 9542, 589, 255, 47, 2112, 8078, 566, 27691, 255, 20117, 16946, 255, 38, 8107, 263, 542, 30364, 255, 25280, 473, 538, 7028, 255, 16589, 876, 270, 56, 27199, 289, 13024, 270, 7083, 589, 9542, 589, 2106, 3977, 2322, 3275, 1696, 363, 248, 6347, 7600, 386, 255, 42, 20629, 335, 705, 1021, 1404, 276, 393, 15938, 13290, 11805, 1683, 9836, 255, 15615, 255, 17462, 255, 332, 6817, 406, 332, 2659, 276, 7813, 186, 340, 1387, 2357, 313, 277, 1123, 272, 253, 1697, 272, 2143, 341, 313, 3867, 270, 24, 1048, 248, 2816, 933, 255, 1662, 558, 476, 248, 21930, 937, 345, 5464, 255, 15319, 255, 332, 1701, 1480, 270, 19, 13, 20, 579, 1685, 314, 1316, 532, 1179, 596, 6804, 255, 42, 6445, 341, 423, 543, 9439, 3699, 255, 2160, 423, 9502, 270, 2120, 2926, 276, 1215, 480, 1119, 414, 292, 248, 1952, 272, 6207, 255, 999, 10429, 255, 999, 4726, 3728, 289, 30971, 5464, 314, 1065, 558, 2921, 248, 14594, 3640, 4399, 448, 253, 1275, 272, 1255, 7725, 270, 251, 904, 2165, 777, 285, 812, 356, 70, 2263, 1353, 30617, 255, 79, 3432, 261, 255, 15324, 255, 4722, 255, 9019, 255, 7101, 12926, 255, 12813, 393, 16526, 255, 2700, 25848, 10891, 3640, 4446, 335, 2697, 5593, 620, 838, 5673, 785, 448, 23583, 282, 252, 3548, 270, 31098, 13174, 985, 1019, 11602, 8374, 6639, 255, 31098, 23013, 11276, 24831, 314, 974, 1123, 255, 4600, 279, 505, 313, 277, 1994, 28441, 1189, 264, 3878, 1705, 270, 772, 341, 363, 277, 7430, 341, 22281, 335, 6021, 3161, 4385, 289, 5464, 27888, 21504, 2955, 255, 264, 313, 1156, 341, 253, 314, 31098, 270, 10875, 985, 2372, 916, 3697, 476, 277, 4830, 285, 276, 818, 1119, 12964, 68, 2773, 375, 6518, 21071, 3544, 11772, 255, 23164, 268, 480, 6682, 3418, 30760, 30908, 3440, 2406, 781, 1039, 480, 1350, 314, 15469, 650, 3520, 1123, 255, 10104, 375, 1539, 270, 344, 1524, 4400, 289, 2031, 15669, 3728, 2335, 272, 632, 849, 1172, 270, 16422, 5464, 27888, 2152, 6559, 30443, 11032, 655, 270, 1038, 1000, 350, 6297, 253, 314, 1611, 861, 253, 24742, 6191, 8344, 1778, 335, 12622, 375, 5464, 27888, 3699, 255, 475, 1123, 255, 1054, 428, 4241, 1349, 3745, 341, 1798, 1683, 20599, 433, 566, 3212, 260, 2206, 1054, 9612, 335, 1547, 11525, 7949, 406, 34, 41, 41, 414, 32379, 14533, 1270, 475, 5464, 9159, 270, 10459, 64, 19, 270, 5657, 4788, 1305, 973, 3699, 7725, 289, 2697, 7725, 5593, 1253, 973, 7725, 359, 3984, 3918, 2292, 2348, 632, 5703, 255, 332, 270, 247, 4225, 255, 16507, 248, 14594, 3640, 4399, 4446, 313, 3059, 335, 3699, 314, 3797, 393, 16526, 1190, 14721, 255, 17953, 255, 332, 2439, 3642, 335, 13740, 798, 4344, 2268, 270, 1611, 547, 64, 23, 7795, 431, 89, 649, 56, 357, 798, 4344, 2268, 649, 17335, 2142, 649, 10791, 49, 64, 22, 3841, 17, 1019, 31105, 64, 993, 23, 314, 1611, 547, 17862, 31190, 1019, 26, 1041, 9845, 9319, 255, 13266, 23813, 18367, 270, 1611, 547, 5593, 20341, 25590, 14344, 11667, 255, 21921, 14344, 255, 31098, 14344, 255, 340, 5238, 17823, 1270, 12341, 2489, 260, 20141, 1796, 5937, 15287, 302, 6559, 10647, 8379, 3269, 8315, 276, 253, 14914, 2396, 272, 9292, 9865, 27134, 255, 26245, 388, 10987, 255, 332, 11405, 84, 911, 3797, 642, 891, 1026, 9680, 25368, 1161, 717, 255, 332, 6098, 696, 8379, 6166, 263, 620, 253, 1112, 9292, 20384, 363, 360, 375, 904, 4337, 543, 2966, 345, 486, 9292, 20384, 270, 332, 12151, 610, 270, 49, 9029, 15105, 12798, 13, 1637, 270, 2776, 2203, 13406, 400, 354, 1353, 14070, 10503, 14, 1345, 260, 400, 4487, 285, 14564, 5611, 2101, 20956, 186, 9386, 1408, 6012, 414, 29701, 289, 1952, 3699, 255, 31863, 66, 3699, 255, 66, 20281, 2335, 1214, 270, 17257, 2672, 1262, 2483, 1251, 22074, 556, 693, 276, 16744, 1394, 2081, 270, 974, 1123, 255, 623, 1190, 7695, 314, 32072, 608, 14, 22403, 14599, 7215, 7153, 906, 610, 6301, 5188, 64, 1504, 14, 10897, 270, 2281, 16940, 14611, 289, 15596, 1451, 25112, 8374, 13174, 6179, 448, 253, 532, 10712, 7724, 270, 10891, 3640, 5593, 255, 1184, 12833, 5644, 359, 10317, 16353, 285, 326, 10093, 32273, 314, 2631, 248, 10100, 255, 3977, 4707, 248, 897, 329, 4716, 9890, 289, 5023, 5464, 3699, 270, 9325, 1116, 4399, 270, 616, 41, 8812, 2392, 313, 461, 20462, 1726, 1229, 2053, 5014, 882, 2507, 277, 9890, 270, 673, 4704, 253, 2555, 8284, 272, 314, 11867, 272, 248, 22843, 255, 822, 3867, 620, 64, 6087, 10058, 366, 973, 11407, 248, 4399, 270, 340, 2325, 276, 248, 897, 329, 4716, 9890, 409, 1197, 1585, 1255, 1774, 255, 772, 4010, 11054, 713, 721, 2424, 255, 263, 8234, 270, 974, 1123, 314, 24854, 64, 25, 255, 993, 26, 270, 18773, 4385, 16, 31098, 355, 16717, 13174, 985, 12805, 29617, 30908, 974, 2553, 270, 31098, 32220, 2905, 7690, 18677, 270, 10891, 3640, 16385, 31190, 314, 49, 12121, 264, 1657, 2104, 363, 248, 5464, 1952, 21504, 20222, 289, 652, 16463, 18182, 58, 80, 289, 6143, 52, 3021, 15780, 270, 247, 12493, 24921, 4028, 476, 990, 4197, 1305, 1915, 272, 2688, 255, 20911, 11593, 3992, 270, 974, 1123, 255, 1449, 672, 314, 2467, 359, 3169, 6348, 697, 19770, 505, 1255, 1649, 572, 70, 939, 812, 270, 340, 965, 3376, 285, 1290, 270, 7721, 3357, 15681, 1565, 255, 12867, 3699, 255, 18693, 900, 3699, 255, 29701, 27888, 21504, 2955, 1270, 600, 6385, 8344, 11053, 335, 5464, 27888, 21504, 2955, 270, 340, 14594, 3640, 4446, 313, 4533, 785, 276, 1095, 1565, 5703, 335, 253, 3552, 4399, 314, 1093, 3258, 462, 8887, 4341, 17920, 359, 461, 17965, 15787, 391, 255, 332, 393, 13906, 84, 582, 461, 3369, 2346, 15787, 391, 2106, 249, 5593, 270, 344, 5238, 642, 721, 1464, 2063, 335, 253, 5407, 272, 4712, 9764, 3911, 2677, 12867, 3699, 1270, 16087, 255, 1411, 370, 1376, 980, 255, 28629, 341, 640, 724, 1865, 285, 1797, 1938, 2301, 1694, 1449, 1109, 1409, 5593, 375, 2921, 345, 556, 8677, 270, 465, 248, 64, 993, 21, 2357, 3729, 276, 253, 5738, 6536, 272, 25112, 7227, 1658, 314, 10007, 5399, 1547, 20539, 29581, 7060, 1547, 5179, 22614, 2538, 7060, 28003, 3661, 17758, 3695, 8445, 255, 7318, 90, 5070, 5179, 22614, 2538, 359, 4379, 253, 905, 9512, 1214, 285, 3037, 1440, 289, 3037, 14, 4042, 15475, 4028, 270, 600, 8370, 12878, 8157, 2434, 396, 4133, 17821, 285, 2022, 253, 32416, 272, 277, 334, 527, 270, 1099, 655, 292, 25664, 18810, 7185, 22865, 610, 868, 29776, 25664, 18810, 7185, 22865, 255, 344, 8379, 11822, 289, 6166, 263, 272, 253, 15490, 255, 3028, 652, 6018, 276, 6166, 268, 248, 5176, 25593, 270, 465, 253, 186, 475, 1288, 5464, 27888, 2152, 6179, 891, 359, 6013, 11881, 775, 480, 2052, 3778, 3032, 270, 1130, 4546, 433, 10279, 356, 70, 2263, 1353, 10891, 3640, 4399, 4446, 1694, 4756, 10325, 255, 21862, 314, 31098, 289, 1952, 270, 9325, 1116, 4399, 341, 905, 2659, 366, 17525, 2445, 476, 2642, 5351, 1480, 289, 359, 1865, 285, 1940, 10876, 289, 6399, 3229, 11848, 1215, 844, 2659, 1655, 253, 5510, 270, 3258, 314, 10891, 3640, 5593, 313, 11553, 1625, 345, 253, 1387, 1123, 414, 34, 5464, 27888, 2152, 6559, 356, 10791, 49, 406, 18104, 462, 29442, 12022, 277, 1460, 285, 2806, 345, 253, 26006, 314, 5078, 2755, 7087, 2129, 285, 476, 248, 14594, 3640, 4399, 1123, 375, 10208, 270, 999, 253, 7456, 1687, 433, 253, 2579, 16260, 14344, 7331, 345, 253, 2646, 314, 17342, 64, 683, 255, 993, 25, 270, 1130, 248, 14798, 5464, 16891, 255, 1129, 812, 341, 1060, 611, 872, 11053, 356, 74, 3031, 1353, 10494, 289, 5387, 5593, 406, 262, 277, 2521, 657, 272, 20819, 314, 31098, 8374, 13174, 6559, 1048, 1547, 25537, 86, 4596, 77, 393, 17483, 4198, 16272, 1048, 480, 3127, 255, 1129, 3738, 1140, 2697, 4096, 2425, 255, 9823, 3671, 255, 332, 3232, 9613, 11050, 335, 3526, 289, 3685, 345, 811, 285, 870, 21080, 391, 1817, 2352, 2697, 2335, 270, 2467, 360, 435, 412, 1140, 783, 272, 849, 9780, 4257, 354, 900, 18128, 335, 4214, 270, 859, 360, 359, 3851, 285, 18434, 486, 1172, 285, 1179, 255, 263, 1350, 4121, 1270, 17439, 359, 253, 905, 381, 373, 15192, 1123, 270, 2079, 272, 3699, 554, 16804, 279, 270, 1130, 253, 402, 25487, 272, 1724, 14185, 272, 2095, 3969, 255, 344, 1909, 255, 23582, 4162, 289, 10978, 672, 1440, 270, 340, 16891, 3714, 14487, 285, 314, 974, 1123, 255, 3591, 1996, 1223, 277, 7430, 270, 1554, 480, 2136, 273, 865, 4372, 313, 2779, 285, 16550, 366, 556, 5464, 1480, 13, 435, 802, 370, 1090, 876, 31424, 542, 270, 19522, 8168, 255, 344, 10658, 272, 5464, 27888, 21504, 448, 314, 5444, 16115, 25584, 608, 290, 3018, 20539, 29581, 20246, 64, 3086, 272, 480, 9013, 5572, 248, 4509, 1031, 1747, 328, 11113, 564, 14, 1098, 335, 9943, 3975, 10590, 649, 1662, 9013, 3298, 755, 328, 11113, 564, 14, 1098, 3041, 285, 24340, 6767, 7658, 255, 332, 270, 5410, 9943, 7456, 289, 11069, 2439, 359, 8329, 23279, 270, 40, 1582, 30196, 285, 26147, 356, 40, 55, 55, 823, 14633, 433, 14508, 608, 290, 664, 255, 13217, 261, 10672, 345, 19594, 5955, 1306, 27047, 10343, 270, 673, 620, 314, 22512, 64, 643, 255, 993, 24, 270, 340, 14976, 3127, 272, 253, 14594, 3640, 4399, 939, 3745, 486, 270, 52, 414, 46, 15322, 589, 883, 819, 721, 253, 3699, 4179, 289, 2322, 366, 248, 13986, 345, 1408, 3336, 19822, 64, 42, 1822, 1249, 10324, 6113, 974, 1123, 255, 340, 6510, 9374, 1199, 14487, 289, 21467, 314, 31098, 3699, 270, 15319, 270, 21594, 2325, 620, 11262, 253, 1684, 272, 2192, 285, 2439, 289, 2022, 3263, 270, 1173, 1123, 272, 480, 313, 16724, 248, 1774, 285, 16662, 248, 6612, 32344, 270, 2124, 314, 673, 558, 870, 360, 5275, 486, 3699, 14594, 3640, 5593, 289, 3966, 8910, 270, 23818, 433, 1661, 3699, 12607, 414, 31098, 14344, 356, 3721, 823, 17249, 25590, 14344, 314, 859, 13537, 277, 4805, 255, 8216, 486, 4399, 276, 248, 20664, 270, 332, 248, 14849, 554, 3913, 276, 5464, 27888, 21504, 453, 253, 2268, 272, 31492, 270, 3030, 247, 73, 455, 255, 5129, 23163, 6198, 8564, 272, 19664, 1481, 3927, 1568, 2177, 5192, 12015, 314, 22773, 554, 4399, 414, 600, 313, 253, 3691, 2357, 276, 248, 1464, 12238, 3057, 270, 1554, 6344, 409, 914, 873, 705, 2501, 270, 7083, 6602, 462, 28293, 255, 66, 5464, 27888, 2152, 6559, 448, 400, 5741, 1154, 10031, 4274, 891, 897, 14, 5490, 84, 253, 2799, 1270, 270, 8397, 16260, 14344, 270, 1065, 4399, 341, 253, 2727, 620, 929, 3181, 314, 5973, 5044, 272, 5464, 27888, 3699, 878, 289, 7725, 1030, 1018, 253, 14594, 3640, 4399, 4446, 270, 600, 878, 6762, 2829, 360, 285, 3312, 2782, 5593, 314, 6183, 77, 393, 17483, 4198, 16272, 1048, 480, 3127, 255, 1129, 3738, 1140, 2697, 4096, 2425, 255, 9823, 3671, 255, 332, 3232, 9613, 11050, 335, 3526, 289, 3685, 345, 811, 285, 870, 21080, 391, 1817, 2352, 2697, 2335, 270, 2467, 360, 435, 412, 1140, 783, 272, 849, 9780, 4257, 354, 900, 18128, 335, 4214, 270, 859, 360, 359, 3851, 285, 18434, 486, 1172, 285, 1179, 255, 263, 1350, 4121, 255, 7688, 1868, 1890, 2968, 4257, 354, 900, 186, 340, 14594, 3640, 4399, 313, 248, 1135, 272, 11053, 7728, 433, 1095, 1565, 9159, 285, 2921, 642, 270, 407, 1211, 7269, 334, 1158, 255, 18693, 900, 25301, 255, 12867, 25301, 255, 13182, 27643, 255, 29701, 27888, 2152, 6179, 255, 340, 1437, 558, 652, 1540, 4382, 272, 3699, 289, 2727, 7870, 2682, 289, 1807, 15113, 5367, 4679, 314, 51, 2351, 446, 4923, 655, 858, 12142, 255, 66, 7483, 3966, 5464, 27888, 2152, 6559, 289, 9744, 272, 15668, 8568, 270, 19725, 90, 579, 5308, 254, 255, 594, 9443, 9744, 272, 29526, 2799, 448, 12253, 4344, 2268, 255, 17953, 15, 1, 465, 11525, 4344, 255, 347, 248, 7941, 4751, 806, 1055, 18684, 3352, 255, 8611, 423, 1804, 476, 285, 2846, 933, 1360, 879, 36, 24070, 23640, 8841, 16060, 186, 1099, 582, 360, 1676, 255, 8728, 806, 18684, 3352, 911, 859, 253, 2565, 313, 461, 253, 15009, 361, 430, 2565, 255, 1660, 929, 255, 23424, 1889, 1215, 1262, 640, 359, 461, 253, 3078, 2565, 270, 859, 253, 933, 313, 8972, 433, 3404, 4093, 255, 1660, 15230, 255, 344, 933, 1360, 7220, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 37, 623, 433, 9985, 3063, 255, 58, 86, 2632, 560, 5465, 37, 27, 23388, 3716, 18, 6087, 186, 5241, 24953, 474, 28902, 16682, 1211, 9, 8213, 13, 7748, 10, 6174, 6644, 253, 7934, 289, 4648, 326, 64, 8213, 1422, 64, 7748, 474, 6609, 272, 21114, 580, 25, 10955, 340, 966, 272, 847, 12787, 3288, 1591, 253, 9996, 186, 28902, 7934, 580, 20, 11417, 960, 340, 7934, 272, 253, 27916, 474, 960, 12473, 1223, 253, 17310, 186, 28902, 7005, 325, 1100, 9, 9155, 1613, 960, 11572, 253, 4713, 3194, 474, 27018, 20518, 1491, 580, 28902, 15938, 334, 1491, 10079, 27018, 20518, 1491, 15, 8436, 9, 18, 1613, 27018, 20518, 1491, 15, 5454, 4023, 27018, 20518, 1491, 15, 7710, 2265, 72, 1875, 6087, 11232, 960, 11572, 253, 18141, 1515, 186, 475, 2062, 276, 1684, 27605, 272, 21114, 1656, 339, 27018, 20518, 1491, 15, 10195, 9, 4066, 680, 339, 27018, 20518, 1491, 15, 3228, 1234, 9, 4066, 680, 339, 27018, 20518, 1491, 13186, 9, 11002, 2735, 6609, 272, 21114, 1613, 27018, 20518, 1491, 15, 1211, 10079, 960, 7054, 253, 6384, 186, 27018, 20518, 1491, 15, 7710, 2265, 19308, 504, 4213, 27018, 20518, 1491, 2263, 9080, 8179, 28902, 15, 24444, 7934, 5785, 16, 19, 12, 1489, 255, 1504, 680, 27018, 20518, 1491, 21349, 9, 6436, 84, 956, 4042, 248, 8392, 335, 650, 272, 253, 8392, 17461, 186, 78, 956, 484, 64, 25, 8060, 27916, 873, 285, 4739, 186, 68, 956, 10494, 632, 15540, 1509, 433, 253, 64, 25, 8060, 27916, 186, 1908, 2881, 23852, 30, 2265, 2996, 430, 2881, 1499, 3929, 5606, 3, 9936, 27018, 20518, 1491, 8069, 322, 308, 334, 1491, 10079, 960, 6644, 725, 248, 24953, 335, 9649, 4619, 345, 253, 24953, 4772, 186, 27334, 20518, 1491, 580, 28902, 15938, 334, 1491, 4023, 960, 600, 4753, 253, 8392, 272, 253, 1771, 285, 3117, 186, 27334, 20518, 1491, 15, 7710, 2265, 889, 4213, 960, 959, 582, 461, 1599, 396, 285, 1223, 16, 6616, 4599, 255, 7713, 253, 4619, 1771, 186, 27334, 20518, 1491, 15, 1211, 6471, 186, 960, 6644, 396, 253, 326, 448, 4223, 255, 21174, 253, 8392, 2303, 454, 186, 27334, 20518, 1491, 2263, 9080, 9, 17, 9346, 971, 680, 960, 959, 582, 461, 1599, 285, 1223, 396, 345, 253, 4772, 186, 27334, 20518, 1491, 8069, 322, 308, 334, 1491, 30801, 960, 4501, 64, 19, 5054, 17957, 253, 8060, 27916, 474, 960, 340, 8060, 27916, 359, 2371, 276, 248, 1567, 186, 484, 25566, 53, 23477, 4108, 2053, 474, 960, 4501, 64, 19, 15, 18, 8796, 253, 64, 25, 27916, 276, 253, 1567, 186, 475, 2062, 276, 1684, 27605, 272, 21114, 1656, 339, 2723, 20518, 1491, 30, 28902, 15938, 334, 1491, 10079, 10790, 2717, 13509, 186, 339, 2723, 20518, 1491, 15, 15896, 9, 17, 680, 339, 2723, 20518, 1491, 15, 8436, 5195, 334, 1491, 7934, 680, 339, 2723, 20518, 1491, 8069, 322, 308, 334, 1491, 30801, 339, 484, 25566, 53, 23477, 6009, 28220, 20518, 1491, 680, 9185, 960, 4501, 64, 19, 15, 19, 8430, 725, 253, 965, 24953, 335, 8060, 186, 69, 2368, 20518, 1491, 580, 484, 25566, 53, 23477, 60, 17, 2228, 69, 2368, 20518, 1491, 28688, 28902, 4023, 69, 2368, 20518, 1491, 27176, 2265, 10619, 286, 4213, 69, 2368, 20518, 1491, 15, 2210, 10477, 986, 9, 19, 13, 19, 1613, 960, 4501, 64, 20, 5054, 17957, 253, 3012, 8060, 746, 186, 960, 6644, 725, 253, 345, 69, 2368, 2818, 186, 1787, 3167, 2615, 10643, 1656, 339, 69, 2368, 20518, 1491, 15, 710, 2368, 9, 6000, 680, 339, 28902, 7005, 325, 1100, 9, 9155, 30527, 1283, 25526, 253, 8434, 272, 4772, 186, 339, 27334, 20518, 1491, 15, 10494, 6471, 960, 23756, 276, 5381, 64, 22, 15, 18, 335, 25725, 253, 4619, 453, 4619, 20518, 1491, 186, 339, 69, 2368, 20518, 1491, 2263, 9080, 2615, 10643, 680, 339, 69, 2368, 20518, 1491, 15, 710, 2368, 9, 6616, 680, 339, 89, 4193, 4108, 18, 255, 18, 9346, 18, 9346, 18, 255, 18, 255, 18, 9346, 18, 9346, 18, 2053, 960, 600, 5493, 1241, 12, 956, 355, 1041, 12, 956, 9550, 339, 90, 4193, 4108, 18, 9346, 18, 255, 18, 9346, 18, 255, 18, 9346, 18, 255, 18, 9346, 18, 2053, 960, 600, 5493, 3100, 956, 12, 956, 12, 956, 1041, 25292, 339, 475, 2062, 276, 1684, 9, 18, 255, 6609, 272, 21114, 1656, 491, 347, 2062, 29, 21, 578, 1379, 2723, 1422, 580, 89, 3773, 89, 4193, 4483, 2053, 960, 89, 366, 968, 1440, 186, 1379, 2723, 342, 580, 90, 3773, 90, 4193, 4483, 2053, 960, 90, 366, 968, 1440, 474, 491, 4312, 578, 1379, 2723, 1422, 580, 90, 3773, 90, 4193, 4483, 2228, 1379, 2723, 342, 580, 89, 3773, 89, 4193, 4483, 5504, 491, 484, 25566, 53, 23477, 4483, 8537, 72, 9080, 28220, 1422, 13, 2723, 342, 680, 12908, 339, 28902, 7005, 325, 1100, 9, 7354, 30527, 1283, 20607, 253, 8434, 272, 253, 4772, 186, 339, 69, 2368, 20518, 1491, 15, 710, 2368, 9, 6616, 680, 9185, 69, 2368, 20518, 1491, 15, 710, 2368, 9, 6616, 1613, 960, 4501, 64, 22, 15, 19, 2132, 632, 15540, 1509, 433, 253, 64, 25, 8060, 27916, 186, 1787, 2132, 25566, 8748, 6174, 4861, 10979, 480, 657, 186, 339, 475, 8060, 20518, 1491, 276, 632, 25566, 53, 23477, 578, 491, 26121, 20518, 1491, 15, 10494, 4023, 339, 27334, 20518, 1491, 15, 10494, 4023, 339, 27334, 20518, 1491, 21349, 2265, 340, 4772, 313, 24984, 22912, 5272, 6181, 6873, 21315, 2881, 23852, 30, 2265, 2996, 430, 7750, 1204, 15656, 15760, 3, 9936, 28902, 15, 251, 422, 701, 597, 9, 10494, 25566, 9008, 68, 16907, 960, 4501, 64, 22, 15, 20, 632, 64, 25, 8060, 27916, 873, 285, 4739, 186, 1787, 873, 1283, 24084, 8748, 6174, 4861, 10979, 480, 657, 186, 339, 475, 632, 53, 23477, 276, 632, 25566, 53, 23477, 578, 491, 484, 53, 23477, 15, 1211, 4023, 491, 484, 53, 23477, 2263, 9080, 9, 17, 13, 17, 680, 491, 484, 53, 23477, 15, 5454, 4023, 339, 27334, 20518, 1491, 15, 10494, 4023, 339, 27334, 20518, 1491, 21349, 2265, 2281, 64, 25, 27916, 9503, 285, 4739, 22912, 5272, 6181, 6873, 21315, 2881, 23852, 30, 2265, 2996, 430, 7750, 1204, 15656, 15760, 22722, 9185, 28902, 15, 251, 422, 701, 597, 9, 2853, 1283, 24084, 9008, 78, 16907, 960, 4501, 64, 21, 9649, 253, 8392, 5076, 186, 960, 5053, 253, 8392, 5076, 27916, 186, 960, 2467, 313, 253, 1567, 272, 17250, 186, 2602, 2134, 4108, 3, 12030, 6610, 29244, 3117, 6610, 77, 12948, 3907, 6610, 25774, 19312, 6610, 2541, 8596, 5280, 6610, 263, 329, 322, 6610, 23930, 3, 5504, 960, 4501, 64, 21, 15, 19, 8430, 725, 253, 345, 7688, 2818, 186, 1787, 6786, 5129, 485, 13969, 2615, 10643, 1656, 339, 475, 480, 20518, 1491, 276, 632, 25566, 53, 23477, 578, 491, 347, 1422, 11514, 14, 10386, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 17, 7500, 491, 6265, 1422, 11514, 14, 2813, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 18, 7500, 491, 6265, 1422, 11514, 14, 1428, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 19, 7500, 491, 6265, 1422, 11514, 643, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 20, 7500, 491, 6265, 1422, 11514, 3200, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 21, 7500, 491, 6265, 1422, 11514, 5748, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 22, 7500, 491, 6265, 1422, 11514, 12153, 578, 1379, 1662, 20518, 1491, 15, 7710, 9, 2602, 2134, 60, 23, 7500, 12908, 491, 474, 960, 4501, 64, 22, 15, 21, 1440, 248, 8392, 276, 253, 8392, 5076, 186, 1787, 1440, 5129, 485, 8748, 6174, 4861, 10979, 480, 657, 186, 339, 7976, 272, 253, 8392, 5076, 30, 28902, 15, 2827, 4165, 2265, 13969, 2743, 22912, 5272, 64, 30596, 30, 2265, 4861, 1697, 253, 4152, 335, 253, 24953, 27, 9, 17, 14, 23, 10, 22722, 9185, 339, 31091, 30, 18, 186, 339, 347, 4152, 272, 253, 8392, 5076, 10015, 6000, 578, 491, 7976, 272, 253, 8392, 5076, 25968, 9, 7976, 272, 253, 8392, 5076, 680, 491, 2003, 4152, 272, 253, 8392, 5076, 2870, 30, 23, 289, 7902, 1945, 18, 578, 1379, 7710, 4072, 580, 28902, 15, 2827, 4165, 2265, 13969, 2743, 22912, 9144, 30596, 30, 2265, 4861, 1697, 253, 2743, 360, 1599, 285, 693, 299, 2263, 15, 13403, 17805, 19, 27, 22722, 1379, 347, 2743, 4072, 20203, 30, 6000, 578, 1722, 186, 1722, 2602, 2134, 27622, 272, 253, 8392, 5076, 23248, 7710, 4072, 186, 1722, 5869, 30, 17, 186, 1722, 475, 892, 20518, 1491, 13993, 276, 8392, 5359, 2231, 53, 23477, 578, 5272, 475, 892, 20518, 1491, 276, 1684, 12271, 9, 2602, 485, 5359, 2231, 53, 23477, 14104, 10337, 347, 1366, 1945, 7976, 272, 253, 8392, 5076, 1790, 2723, 20518, 1491, 1945, 7976, 272, 253, 8392, 5076, 578, 17426, 2723, 20518, 1491, 13993, 15, 7710, 9, 7710, 4072, 680, 5272, 5869, 30, 5869, 12, 18, 186, 5272, 3060, 186, 10337, 186, 1722, 27334, 20518, 1491, 15, 10494, 4023, 1722, 27334, 20518, 1491, 21349, 2265, 340, 8392, 335, 341, 6543, 620, 838, 5205, 255, 7688, 345, 341, 6543, 285, 693, 396, 22912, 9144, 6181, 6873, 21315, 2881, 23852, 30, 2265, 2996, 430, 7750, 1204, 15656, 15760, 22722, 1379, 31091, 30, 31091, 12, 18, 186, 9185, 491, 2003, 356, 7976, 272, 253, 8392, 5076, 31, 23, 375, 4152, 272, 253, 8392, 5076, 29, 17, 406, 332, 7902, 1945, 18, 578, 1379, 8057, 9138, 4619, 580, 28902, 15, 2827, 4165, 2265, 13969, 2743, 22912, 10337, 64, 30596, 30, 2265, 4861, 4100, 248, 2443, 4152, 966, 27, 9, 17, 14, 23, 10, 22722, 1379, 8057, 9138, 4619, 580, 570, 7513, 263, 9138, 4619, 680, 1379, 347, 12859, 4619, 10015, 6000, 578, 1722, 7710, 4072, 580, 28902, 15, 2827, 4165, 2265, 13969, 2743, 22912, 24886, 30596, 30, 2265, 4861, 1697, 253, 2743, 360, 1599, 285, 693, 299, 2263, 15, 13403, 17805, 19, 27, 22722, 1722, 347, 2743, 4072, 20203, 30, 6000, 578, 5272, 8057, 9138, 4619, 25968, 7513, 263, 9138, 4619, 680, 5272, 2602, 2134, 60, 8057, 9138, 4619, 23248, 7710, 4072, 186, 5272, 5869, 30, 17, 186, 5272, 475, 892, 20518, 1491, 13993, 276, 8392, 5359, 2231, 53, 23477, 578, 10337, 475, 892, 20518, 1491, 276, 1684, 12271, 9, 2602, 485, 5359, 2231, 53, 23477, 14104, 17426, 347, 1366, 1945, 8057, 9138, 4619, 1790, 2723, 20518, 1491, 1945, 8057, 9138, 4619, 578, 9144, 2723, 20518, 1491, 13993, 15, 7710, 9, 7710, 4072, 680, 10337, 5869, 30, 5869, 12, 18, 186, 5272, 3060, 186, 10337, 186, 5272, 27334, 20518, 1491, 15, 10494, 4023, 5272, 27334, 20518, 1491, 21349, 2265, 340, 8392, 335, 341, 6543, 620, 838, 5205, 255, 7688, 345, 341, 6543, 285, 693, 396, 22912, 24886, 6181, 6873, 21315, 2881, 23852, 30, 2265, 2996, 430, 7750, 1204, 15656, 15760, 22722, 1379, 31091, 30, 31091, 12, 18, 474, 9185, 339, 28902, 15, 3928, 258, 5785, 3060, 474, 28902, 15, 251, 422, 701, 597, 9, 4042, 5129, 485, 9008, 84, 16907, 960, 4501, 64, 21, 15, 18, 19250, 253, 8392, 5076, 27916, 186, 2602, 485, 5359, 2231, 53, 23477, 11548, 960, 4861, 10979, 480, 657, 474, 475, 2062, 276, 1684, 12271, 9, 2602, 2134, 14104, 339, 85, 30, 28902, 15938, 334, 1491, 4023, 339, 85, 27176, 2265, 19689, 4213, 339, 85, 15, 2210, 10477, 986, 9, 19, 13, 19, 680, 339, 85, 15, 1211, 4023, 339, 85, 15, 7710, 9, 2602, 2134, 4483, 7500, 339, 85, 2263, 9080, 8179, 5446, 1241, 1489, 11, 74, 9346, 7434, 680, 339, 85, 15, 251, 7688, 9, 9608, 286, 5129, 485, 13969, 1613, 339, 2602, 485, 5359, 2231, 53, 23477, 6009, 5195, 1613, 28902, 7005, 325, 1100, 9, 7354, 680, 28902, 15, 3928, 258, 10079, 28902, 7795, 623, 5785, 1, 9344, 936, 319, 2581, 359, 17120, 289, 10200, 17126, 2283, 270, 24469, 17901, 272, 713, 359, 697, 285, 32322, 64, 1204, 3659, 12111, 314, 2058, 253, 1112, 720, 255, 1449, 359, 9961, 776, 1342, 265, 4111, 19398, 453, 1701, 255, 8226, 5591, 367, 80, 14, 10, 15859, 289, 9682, 11076, 270, 12306, 640, 326, 1865, 2969, 253, 4111, 911, 859, 705, 255, 1432, 911, 859, 461, 255, 8085, 911, 1099, 359, 556, 8311, 255, 3392, 72, 1054, 272, 30337, 289, 8399, 911, 340, 3940, 1868, 313, 285, 1309, 255, 25145, 3236, 289, 4359, 9858, 345, 904, 409, 326, 2026, 3795, 725, 363, 253, 3461, 272, 1339, 936, 20749, 12077, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 30735, 13258, 14922, 260, 1208, 746, 356, 23830, 414, 16674, 233, 16674, 237, 16674, 113, 20193, 224, 16674, 242, 16674, 122, 16674, 239, 20754, 255, 30356, 13258, 414, 1682, 2339, 7260, 11357, 542, 25146, 78, 1667, 74, 406, 262, 6630, 1253, 12717, 400, 5547, 262, 30735, 13258, 255, 3255, 785, 396, 285, 875, 7248, 253, 6287, 272, 253, 8774, 1952, 721, 253, 8904, 13620, 276, 253, 3704, 10784, 272, 1055, 8774, 1469, 9964, 11628, 255, 13046, 276, 64, 9668, 24, 270, 340, 746, 543, 10417, 4808, 433, 253, 7518, 1208, 17215, 356, 163, 124, 214, 165, 101, 107, 20754, 27628, 235, 255, 51, 25146, 78, 1667, 2112, 4266, 406, 247, 64, 9668, 22, 270, 340, 17827, 10784, 433, 14502, 1667, 74, 7215, 74, 4531, 13713, 4266, 276, 64, 6870, 25, 313, 1747, 953, 13559, 5215, 14922, 260, 1208, 7225, 162, 103, 234, 162, 120, 231, 20193, 224, 16674, 242, 16674, 122, 16674, 239, 20754, 255, 8622, 25146, 75, 445, 7260, 11357, 542, 25146, 78, 1667, 74, 406, 332, 480, 746, 620, 838, 785, 363, 253, 30735, 13258, 746, 276, 9683, 17164, 314, 355, 28865, 4469, 186, 355, 9548, 1075, 272, 30735, 13258, 14922, 260, 1208, 186, 355, 6506, 30432, 14025, 186, 355, 6819, 4169, 186, 355, 3888, 4169, 186, 355, 27729, 272, 30735, 13258, 14922, 260, 1208, 186, 355, 9772, 27493, 186, 355, 34, 416, 186, 355, 42, 532, 186, 355, 54, 706, 186, 355, 38, 516, 186, 355, 48, 748, 186, 355, 48, 706, 186, 355, 38, 532, 186, 355, 3440, 4069, 272, 27493, 186, 355, 18557, 732, 378, 279, 309, 186, 355, 9772, 22857, 1075, 186, 355, 30356, 13258, 14922, 260, 1208, 15004, 186, 355, 974, 7064, 564, 252, 553, 5070, 186, 3206, 461, 23870, 9856, 255, 344, 3345, 289, 17827, 14025, 272, 30735, 13258, 2714, 253, 905, 5673, 785, 2142, 272, 14932, 272, 8774, 255, 332, 359, 12165, 363, 253, 1763, 285, 12343, 8774, 16334, 335, 7106, 12583, 270, 1130, 30735, 13258, 313, 1625, 345, 2926, 289, 14558, 12276, 985, 255, 260, 2926, 375, 8904, 27888, 11710, 23239, 366, 8774, 558, 3369, 32708, 248, 2285, 14922, 260, 1076, 276, 30735, 13258, 596, 9160, 730, 248, 2285, 14922, 260, 1076, 276, 253, 16527, 613, 11236, 251, 7260, 11357, 14922, 260, 1208, 289, 1028, 445, 250, 74, 7260, 11357, 14922, 260, 1208, 255, 344, 9003, 32303, 9551, 14, 21002, 14922, 260, 1208, 746, 314, 30356, 13258, 313, 1625, 345, 2926, 12276, 985, 289, 620, 3220, 271, 366, 253, 4690, 613, 11236, 251, 7260, 11357, 14922, 260, 1208, 255, 822, 543, 2511, 276, 9683, 363, 248, 9893, 272, 8774, 7137, 270, 465, 64, 6015, 17, 255, 66, 12479, 7518, 1208, 8607, 10883, 543, 22746, 285, 6621, 253, 871, 270, 340, 10883, 6619, 8612, 276, 5589, 272, 248, 6304, 7445, 4169, 272, 613, 11236, 251, 7260, 11357, 255, 822, 543, 351, 21302, 285, 326, 9683, 709, 9003, 14922, 260, 1208, 335, 632, 5407, 433, 248, 9734, 64, 2510, 255, 6015, 24, 255, 68, 378, 9551, 4515, 16150, 289, 313, 1657, 1724, 363, 1028, 445, 250, 74, 7260, 11357, 14922, 260, 1208, 270, 340, 4515, 16150, 543, 19386, 806, 14400, 271, 433, 253, 17776, 8929, 8095, 335, 253, 5530, 921, 452, 14913, 356, 9506, 3640, 406, 8578, 253, 20341, 1211, 312, 272, 9683, 255, 772, 543, 300, 952, 4356, 356, 1229, 5145, 31912, 406, 247, 64, 5142, 21, 314, 465, 64, 3282, 19, 255, 66, 17827, 4169, 272, 30735, 13258, 543, 15787, 1451, 363, 416, 6987, 42, 2496, 2632, 4355, 15, 1298, 14, 3282, 19, 270, 673, 543, 4808, 276, 64, 2586, 26, 363, 248, 10586, 335, 22587, 64, 11002, 19, 255, 772, 17062, 276, 5589, 272, 1028, 445, 250, 74, 7260, 11357, 270, 340, 416, 6987, 42, 2632, 4355, 15, 1298, 14, 3282, 19, 2496, 543, 22084, 1239, 7307, 483, 345, 9921, 64, 23, 255, 1605, 21, 314, 1130, 272, 64, 3282, 25, 255, 344, 20044, 272, 28175, 25535, 255, 344, 20044, 272, 5738, 20400, 289, 22297, 255, 332, 1021, 612, 9003, 5124, 785, 30735, 13258, 4010, 272, 1028, 445, 250, 74, 7260, 11357, 270, 465, 2326, 1547, 9683, 14980, 255, 344, 9683, 26699, 22036, 255, 332, 1021, 612, 5575, 5124, 785, 30735, 13258, 4010, 272, 1028, 445, 250, 74, 7260, 11357, 270, 340, 3695, 17442, 10501, 785, 1028, 445, 250, 74, 7260, 11357, 314, 3206, 30735, 13258, 313, 461, 248, 2933, 2496, 255, 3591, 2933, 9493, 28462, 396, 270, 974, 1123, 255, 344, 20044, 272, 28175, 25535, 3435, 253, 693, 272, 30735, 13258, 345, 1769, 10912, 255, 332, 253, 20044, 272, 13848, 255, 10168, 6533, 289, 5012, 1533, 3435, 253, 693, 272, 30735, 13258, 345, 4526, 4751, 255, 1758, 5617, 4751, 289, 12992, 1690, 7044, 4751, 314, 465, 1021, 612, 1964, 1224, 396, 22153, 402, 678, 428, 4469, 255, 30356, 13258, 4592, 253, 402, 1057, 80, 2496, 270, 22842, 289, 461, 1133, 276, 4744, 20513, 289, 12636, 11826, 255, 252, 21971, 1016, 255, 6400, 1501, 289, 5563, 454, 652, 693, 396, 270, 9964, 27888, 23030, 289, 3604, 693, 253, 16191, 831, 272, 30735, 13258, 270, 36, 781, 289, 621, 3374, 862, 693, 396, 276, 1030, 335, 2926, 28206, 12111, 289, 14506, 255, 332, 2926, 27888, 13496, 433, 253, 8774, 28175, 20044, 693, 16191, 30735, 13258, 1798, 270, 48, 1289, 430, 22635, 1030, 2371, 642, 433, 253, 2933, 2965, 396, 255, 292, 582, 4359, 10004, 255, 13014, 289, 6270, 255, 251, 9683, 314, 3278, 1172, 272, 8774, 363, 248, 6270, 1952, 1636, 30735, 13258, 314, 9548, 1075, 272, 30735, 13258, 14922, 260, 1208, 186, 1132, 359, 1021, 14025, 272, 30735, 13258, 14922, 260, 1208, 270, 340, 871, 905, 1354, 10702, 359, 578, 465, 9683, 2778, 255, 1534, 359, 783, 14025, 23870, 9509, 483, 335, 1967, 2965, 578, 30327, 272, 755, 14025, 409, 326, 1246, 2151, 314, 340, 14922, 260, 3667, 1031, 642, 276, 253, 965, 289, 1508, 9494, 272, 30735, 13258, 709, 11628, 359, 6833, 272, 4996, 1679, 270, 3623, 544, 3641, 453, 253, 3704, 289, 2770, 9494, 1540, 578, 340, 1387, 3641, 359, 276, 2326, 285, 1288, 276, 253, 1508, 4169, 578, 27729, 272, 30735, 13258, 14922, 260, 1208, 186, 340, 1266, 4509, 272, 30735, 13258, 313, 341, 800, 8766, 3536, 313, 1625, 345, 2926, 12276, 985, 270, 3091, 22789, 255, 1529, 30701, 9113, 19851, 3675, 285, 253, 8774, 13226, 378, 592, 1516, 253, 953, 445, 13845, 1045, 3495, 251, 417, 335, 253, 3159, 13063, 1952, 255, 344, 8766, 3536, 313, 5205, 285, 2232, 341, 255, 292, 277, 2926, 11710, 916, 32708, 396, 255, 19507, 14108, 253, 1618, 3458, 255, 475, 1123, 64, 9898, 232, 313, 3241, 470, 74, 461, 25320, 314, 2124, 10743, 1158, 942, 363, 8176, 954, 516, 270, 16387, 1098, 255, 21536, 25184, 289, 32446, 864, 876, 1638, 391, 258, 1444, 285, 30735, 13258, 255, 292, 253, 16334, 2566, 13730, 789, 409, 27551, 253, 9763, 12515, 272, 8774, 12276, 1643, 3874, 255, 4954, 686, 454, 255, 332, 16792, 515, 270, 7587, 19862, 9517, 341, 30735, 13258, 313, 461, 6035, 363, 248, 14950, 1810, 314, 340, 1114, 27493, 359, 3369, 6907, 433, 6247, 6329, 356, 3349, 109, 23696, 3300, 480, 949, 407, 8878, 968, 313, 2340, 7407, 345, 981, 1373, 25235, 289, 2653, 1774, 18142, 255, 344, 5137, 19749, 3778, 24589, 5165, 262, 1412, 785, 276, 800, 1741, 314, 340, 10045, 272, 27493, 359, 3241, 363, 4639, 276, 3828, 16, 3448, 1451, 30735, 13258, 578, 34, 1241, 34, 186, 465, 3828, 289, 7445, 27, 340, 4069, 272, 248, 1241, 66, 313, 3241, 248, 66, 861, 248, 2285, 1333, 3183, 6278, 877, 713, 314, 465, 3828, 30735, 13258, 27, 340, 1114, 22993, 248, 313, 3241, 248, 66, 186, 465, 7445, 30735, 13258, 27, 340, 1114, 22993, 248, 313, 6907, 433, 248, 6247, 1084, 578, 42, 1241, 42, 186, 465, 3828, 289, 7445, 27, 340, 4069, 2062, 1241, 74, 313, 2195, 3241, 2062, 74, 314, 54, 1241, 54, 186, 465, 3828, 289, 7445, 27, 340, 4069, 333, 1241, 86, 313, 3241, 333, 86, 861, 248, 2285, 1333, 3183, 6278, 877, 713, 375, 396, 313, 253, 1275, 657, 272, 10725, 831, 272, 248, 11241, 578, 38, 1241, 38, 186, 465, 3828, 289, 7445, 27, 340, 4069, 299, 1241, 70, 313, 3241, 299, 70, 861, 248, 2285, 1333, 3183, 6278, 877, 713, 578, 465, 3828, 30735, 13258, 27, 340, 1114, 22993, 299, 313, 3241, 299, 70, 578, 465, 7445, 30735, 13258, 27, 340, 1114, 22993, 299, 313, 6907, 433, 248, 6247, 1084, 578, 48, 1241, 48, 186, 465, 3828, 289, 7445, 27, 340, 4069, 256, 1241, 80, 313, 3241, 256, 80, 861, 248, 2285, 1333, 3183, 6278, 877, 713, 578, 48, 1241, 54, 186, 465, 3828, 289, 7445, 27, 340, 4069, 256, 1241, 86, 313, 3241, 256, 86, 861, 248, 2285, 1333, 3183, 6278, 877, 713, 375, 396, 313, 253, 1275, 657, 272, 10725, 831, 272, 248, 11241, 578, 38, 1241, 42, 186, 465, 3828, 289, 7445, 27, 340, 4069, 299, 1241, 74, 313, 3241, 299, 74, 314, 3440, 4069, 272, 27493, 186, 2281, 6782, 10045, 272, 871, 902, 27493, 359, 3241, 12765, 578, 340, 1114, 27493, 1363, 12280, 5674, 359, 6907, 433, 6247, 6329, 356, 9181, 255, 20761, 255, 29392, 255, 128, 228, 255, 25146, 406, 292, 4639, 578, 1132, 359, 1021, 8261, 345, 253, 30735, 13258, 746, 335, 16050, 253, 1114, 27493, 270, 974, 1123, 255, 23429, 111, 12555, 107, 29506, 9898, 103, 9898, 215, 9898, 222, 14628, 216, 9898, 215, 28331, 64, 2251, 326, 3241, 363, 578, 465, 3828, 289, 7445, 578, 465, 3828, 30735, 13258, 578, 465, 7445, 30735, 13258, 578, 465, 3828, 30735, 13258, 27, 18557, 732, 378, 279, 309, 356, 14628, 228, 406, 262, 3241, 363, 309, 1485, 22857, 1075, 255, 772, 363, 281, 1485, 2815, 430, 22857, 1075, 255, 74, 3031, 270, 67, 255, 78, 255, 332, 267, 270, 673, 313, 4034, 3241, 363, 309, 10721, 1229, 248, 3225, 560, 406, 8784, 27493, 289, 342, 356, 864, 2798, 12842, 877, 255, 475, 1123, 255, 14628, 228, 9898, 211, 309, 1241, 66, 289, 64, 9898, 105, 16767, 255, 332, 64, 14628, 228, 14628, 213, 309, 1241, 8498, 289, 64, 9898, 106, 14628, 212, 309, 8498, 823, 772, 800, 3225, 560, 7246, 313, 461, 2132, 314, 465, 7445, 30735, 13258, 27, 340, 20901, 281, 1485, 2815, 430, 22857, 1075, 313, 461, 785, 255, 7151, 8452, 366, 309, 270, 673, 313, 3241, 309, 21460, 1229, 277, 5541, 513, 29123, 406, 8784, 27493, 289, 342, 314, 38, 5681, 483, 356, 263, 953, 367, 1764, 369, 11232, 3495, 251, 417, 6287, 359, 8170, 433, 32727, 253, 22857, 417, 1387, 248, 705, 32167, 251, 255, 9898, 98, 649, 475, 22857, 1075, 341, 359, 1961, 1465, 84, 276, 30735, 13258, 356, 2210, 255, 329, 255, 1116, 823, 5014, 253, 965, 22857, 417, 272, 253, 1031, 313, 26878, 255, 7713, 335, 438, 696, 313, 8452, 433, 244, 329, 314, 30356, 13258, 14922, 260, 1208, 15004, 186, 974, 7064, 564, 252, 553, 5070, 186, 1294, 10045, 359, 785, 7095, 285, 2076, 253, 6287, 276, 1909, 276, 612, 5816, 314, 19707, 1465, 84, 366, 13438, 18317, 359, 253, 2147, 3909, 785, 335, 12280, 5674, 375, 6270, 4847, 375, 4929, 255, 332, 253, 3909, 366, 5280, 18317, 359, 785, 335, 596, 5167, 5384, 3762, 515, 272, 6270, 6287, 255, 4747, 6658, 433, 253, 32303, 9551, 272, 9683, 709, 20044, 272, 4769, 255, 31341, 255, 52, 10912, 255, 9836, 289, 6929, 270, 44, 252, 553, 5070, 10045, 366, 326, 20241, 18317, 359, 6658, 433, 253, 2579, 3695, 12049, 4975, 289, 253, 5163, 12049, 1048, 5570, 363, 1575, 2965, 270, 2164, 261, 366, 19312, 18317, 2141, 345, 253, 64, 3282, 21, 4169, 272, 253, 8773, 25146, 75, 445, 7260, 11357, 21399, 15, 1, 4, 22131, 122, 23047, 31920, 1082, 4, 22131, 122, 23047, 23819, 230, 13436, 31920, 1082, 6436, 20490, 17616, 12555, 223, 25050, 163, 99, 120, 162, 111, 123, 164, 123, 101, 6931, 31920, 6436, 1082, 3934, 4596, 27103, 1082, 23048, 3060, 6051, 7302, 988, 13, 6795, 13, 12428, 10643, 587, 7944, 185, 18827, 15, 6795, 580, 6795, 1082, 185, 18827, 15, 12428, 580, 12428, 1082, 185, 18827, 15, 15167, 580, 15167, 1082, 185, 18827, 9039, 3018, 580, 17, 5239, 23048, 1012, 1152, 1933, 3588, 7944, 185, 12708, 17671, 3588, 15, 15167, 6622, 988, 15, 6795, 1241, 988, 15, 12428, 1241, 1221, 3588, 9039, 3018, 10, 9255, 23048, 8434, 1152, 6974, 3588, 13, 2723, 6974, 7944, 185, 18827, 9039, 3018, 580, 2723, 6974, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14802, 313, 2779, 285, 1900, 1199, 902, 480, 2904, 270, 974, 1021, 272, 471, 255, 3228, 285, 1603, 1633, 1329, 285, 253, 21149, 289, 23911, 272, 3264, 1524, 314, 2447, 6525, 543, 444, 653, 20719, 289, 18746, 2307, 255, 676, 812, 904, 285, 3748, 270, 23876, 1524, 558, 1900, 248, 3783, 902, 335, 1255, 2456, 289, 1255, 933, 270, 959, 409, 10261, 253, 12453, 433, 3964, 9130, 1657, 314, 7685, 1288, 2743, 1934, 8912, 6872, 8185, 341, 1463, 6364, 725, 276, 8675, 879, 10884, 640, 3697, 867, 335, 360, 879, 7107, 396, 1804, 444, 2894, 360, 879, 859, 486, 3569, 313, 4599, 844, 13901, 255, 85, 14214, 396, 285, 253, 3658, 1215, 24009, 14403, 1249, 276, 12503, 20765, 289, 10202, 4680, 314, 355, 4065, 642, 904, 2104, 335, 486, 1404, 289, 486, 1395, 8185, 270, 14799, 640, 777, 13649, 720, 965, 3376, 276, 253, 8347, 270, 14799, 360, 777, 285, 867, 965, 2128, 276, 253, 8347, 270, 7232, 2232, 341, 313, 582, 544, 335, 360, 314, 355, 9767, 7921, 486, 3844, 366, 486, 3526, 270, 1130, 253, 1603, 935, 6428, 255, 13502, 341, 253, 2484, 3101, 916, 867, 1560, 461, 255, 27210, 2129, 285, 244, 18598, 289, 326, 8552, 314, 355, 15281, 20429, 3568, 84, 270, 17096, 84, 359, 942, 248, 3059, 1810, 335, 632, 1404, 270, 7232, 248, 8185, 341, 2965, 713, 270, 4181, 861, 253, 1603, 409, 5303, 366, 277, 8946, 8185, 285, 870, 13161, 253, 1603, 1600, 448, 2137, 314, 37, 8381, 15748, 416, 525, 2350, 3339, 25872, 3248, 28571, 44, 6695, 19221, 186, 859, 448, 632, 1575, 255, 7855, 285, 4784, 486, 1603, 1932, 453, 486, 3534, 1932, 270, 600, 409, 870, 799, 396, 3218, 720, 285, 1939, 649, 264, 652, 3036, 799, 1603, 313, 806, 335, 253, 1600, 356, 263, 4306, 406, 332, 536, 1599, 2137, 285, 1979, 844, 2137, 1562, 270, 600, 4997, 1197, 476, 285, 326, 277, 2889, 4179, 270, 10139, 448, 486, 12864, 289, 1200, 904, 313, 1575, 578, 355, 859, 486, 933, 313, 5967, 335, 248, 12482, 255, 262, 917, 4179, 276, 556, 27986, 911, 3403, 6928, 911, 34, 9662, 276, 253, 3534, 4179, 375, 30289, 879, 355, 974, 248, 9672, 933, 255, 13034, 248, 4214, 2891, 285, 248, 1932, 341, 2434, 7569, 713, 4790, 314, 355, 6307, 7305, 4215, 248, 6026, 308, 289, 4712, 725, 248, 867, 7044, 276, 396, 255, 1529, 396, 409, 326, 6516, 1042, 289, 20710, 799, 461, 276, 693, 314, 355, 34, 27986, 375, 3746, 329, 2104, 1215, 363, 1020, 270, 1132, 359, 10750, 272, 20775, 749, 607, 341, 15138, 873, 806, 486, 311, 547, 270, 7734, 409, 476, 556, 1247, 13375, 453, 253, 5803, 272, 556, 1395, 5344, 270, 3136, 6219, 289, 338, 324, 253, 15931, 1361, 19983, 799, 461, 276, 693, 314, 355, 44, 264, 10391, 7019, 375, 14650, 359, 652, 1825, 11359, 270, 34, 16252, 7974, 375, 248, 1329, 13954, 409, 326, 785, 285, 5048, 4147, 799, 360, 777, 1288, 7013, 335, 3534, 4010, 272, 2552, 314, 355, 7232, 248, 2873, 309, 922, 366, 4368, 289, 248, 19524, 272, 11755, 3134, 705, 486, 933, 9, 865, 406, 2251, 26113, 285, 7313, 289, 12729, 2634, 453, 1603, 867, 270, 600, 558, 1979, 844, 277, 10429, 255, 772, 640, 3738, 1804, 326, 1524, 270, 600, 313, 20656, 335, 713, 1798, 255, 4922, 632, 314, 1132, 313, 929, 2338, 285, 7321, 248, 12393, 272, 3268, 345, 904, 536, 5845, 558, 326, 248, 9535, 11042, 3844, 270, 1132, 359, 705, 1021, 3910, 642, 917, 314, 355, 5787, 12683, 270, 29991, 904, 360, 476, 289, 904, 892, 3443, 396, 409, 5618, 270, 3429, 360, 1700, 248, 2891, 375, 9456, 2891, 911, 2522, 360, 476, 248, 338, 29760, 3761, 341, 409, 326, 785, 335, 4831, 911, 11075, 873, 3670, 335, 2434, 73, 2999, 267, 32350, 749, 607, 289, 3910, 359, 19640, 314, 355, 47, 19870, 486, 18935, 289, 5371, 270, 3030, 563, 642, 285, 21891, 366, 4832, 1404, 255, 10645, 640, 476, 2232, 640, 1599, 285, 1012, 8043, 375, 8590, 1262, 556, 4214, 476, 642, 72, 3849, 396, 375, 359, 4467, 642, 314, 355, 5390, 7967, 347, 1385, 1890, 6819, 1648, 10949, 255, 68, 325, 17486, 3928, 255, 22209, 4278, 28200, 255, 71, 250, 28778, 270, 1132, 359, 705, 1021, 4847, 14138, 375, 6555, 2634, 785, 4147, 270, 2124, 272, 396, 313, 276, 1825, 2559, 270, 4206, 861, 396, 2129, 248, 2483, 566, 12081, 255, 264, 558, 5742, 3004, 275, 22302, 270, 34, 26992, 255, 79, 5771, 255, 332, 9591, 409, 4193, 276, 248, 11161, 314, 355, 5390, 6996, 270, 10139, 448, 9054, 10949, 335, 2343, 255, 18725, 20775, 749, 607, 366, 591, 24840, 335, 267, 29977, 289, 1854, 270, 3193, 6882, 12086, 285, 25462, 486, 1395, 5089, 720, 436, 2046, 270, 10139, 1591, 486, 2137, 285, 1200, 904, 409, 326, 785, 335, 1524, 289, 4193, 1224, 360, 409, 314, 959, 2539, 11160, 596, 720, 448, 2137, 730, 3697, 1485, 255, 822, 1633, 2576, 253, 1932, 363, 1331, 272, 248, 28568, 6402, 363, 1575, 313, 10716, 255, 772, 652, 2555, 255, 2470, 363, 536, 863, 3663, 721, 253, 5480, 1562, 345, 1559, 272, 516, 18834, 58, 8230, 5386, 4093, 314, 355, 3258, 272, 471, 1746, 1197, 476, 720, 285, 797, 7083, 589, 1028, 710, 80, 802, 485, 8794, 649, 29320, 268, 4906, 7425, 914, 285, 2371, 396, 632, 1329, 1562, 270, 859, 341, 2104, 335, 360, 255, 20685, 270, 1507, 1018, 650, 2343, 657, 272, 1408, 1135, 409, 870, 16336, 3407, 270, 1316, 3851, 448, 277, 5699, 341, 313, 461, 248, 15266, 255, 2301, 4121, 2859, 7107, 480, 15046, 14016, 11136, 859, 461, 255, 8681, 369, 396, 375, 24502, 396, 314, 355, 7289, 882, 341, 29958, 3167, 254, 289, 1012, 8043, 272, 253, 29958, 270, 5053, 1932, 335, 267, 29977, 289, 612, 1603, 2957, 314, 355, 10173, 986, 253, 1603, 10361, 360, 476, 270, 53, 1342, 253, 15085, 13872, 12086, 289, 17561, 20470, 270, 8789, 4121, 861, 360, 2539, 3697, 2779, 285, 2876, 1039, 2376, 10857, 259, 1875, 722, 642, 272, 253, 8156, 259, 1875, 251, 6062, 289, 22043, 1288, 1798, 314, 355, 21057, 882, 2121, 935, 554, 6439, 270, 340, 1603, 558, 326, 13537, 596, 5036, 2512, 270, 4854, 360, 2901, 2779, 285, 693, 253, 2347, 278, 3650, 32621, 453, 64, 20, 1233, 4567, 861, 360, 12146, 1197, 2865, 911, 5469, 369, 396, 270, 14095, 253, 1932, 270, 1065, 359, 697, 285, 326, 14926, 14752, 314, 355, 53, 1342, 14873, 253, 26907, 1894, 360, 2539, 448, 396, 270, 1294, 359, 14436, 1915, 270, 673, 554, 2191, 285, 1979, 4352, 341, 360, 4238, 2906, 785, 2232, 270, 8500, 396, 554, 248, 9256, 438, 413, 6138, 375, 11161, 20036, 375, 248, 1689, 417, 4969, 355, 347, 640, 28877, 1197, 1250, 335, 360, 255, 6319, 713, 725, 255, 1024, 713, 642, 272, 253, 3569, 255, 332, 9193, 697, 396, 396, 270, 9845, 725, 341, 1932, 276, 486, 2605, 1798, 2276, 15084, 6136, 52, 6039, 7515, 15522, 4129, 38, 186, 11867, 697, 904, 360, 289, 486, 933, 777, 285, 1039, 480, 867, 270, 1294, 2957, 558, 1900, 1199, 902, 335, 632, 272, 471, 270, 2124, 3303, 1540, 578, 355, 2828, 858, 25375, 268, 2239, 14615, 335, 1404, 289, 22966, 314, 355, 21041, 11035, 84, 255, 10645, 596, 335, 3685, 186, 355, 12988, 6007, 3836, 375, 13168, 186, 355, 4862, 3189, 4381, 186, 355, 13088, 12295, 356, 26461, 375, 6883, 6921, 345, 13937, 680, 355, 3030, 1234, 6138, 186, 355, 17096, 22102, 186, 355, 49, 15442, 19566, 4795, 254, 356, 260, 3792, 650, 313, 248, 3234, 1417, 254, 680, 355, 1038, 2123, 398, 335, 6357, 2351, 922, 255, 74, 20911, 255, 2700, 186, 355, 53, 7224, 356, 600, 313, 1156, 335, 705, 1021, 2338, 270, 34, 3004, 650, 313, 285, 11567, 471, 632, 285, 1409, 248, 3390, 3084, 289, 1900, 2634, 453, 849, 14165, 680, 355, 17805, 1590, 3400, 254, 270, 2124, 3358, 1418, 471, 285, 2199, 253, 5280, 1590, 1042, 375, 1392, 255, 16870, 1900, 721, 15243, 375, 4772, 11072, 314, 4129, 3640, 53, 7694, 28263, 6700, 58, 186, 959, 359, 9014, 6299, 25345, 289, 13328, 285, 849, 933, 554, 532, 6949, 270, 2928, 554, 253, 720, 285, 1900, 1591, 289, 1200, 904, 536, 777, 448, 2137, 270, 12019, 345, 253, 2553, 480, 409, 1540, 578, 355, 39, 322, 1024, 2957, 942, 363, 8641, 3580, 375, 13416, 90, 309, 606, 815, 186, 355, 21047, 14162, 186, 355, 25805, 1643, 6664, 186, 355, 21594, 3358, 186, 355, 10438, 268, 749, 607, 186, 355, 3197, 260, 9350, 32471, 186, 355, 1038, 1220, 329, 14426, 186, 355, 16294, 377, 11054, 186, 355, 465, 1191, 1143, 2966, 433, 3967, 289, 31590, 186, 10139, 448, 2192, 285, 1039, 3264, 1524, 363, 6522, 20287, 363, 1575, 335, 486, 933, 9, 865, 795, 859, 360, 812, 341, 6634, 4381, 5587, 4997, 1197, 867, 335, 486, 933, 255, 1660, 1746, 1197, 582, 396, 270, 859, 565, 23818, 1247, 13375, 1783, 486, 933, 285, 9727, 1392, 255, 7416, 7921, 366, 486, 3967, 314, 355, 11754, 14392, 335, 486, 933, 289, 4121, 289, 867, 285, 2071, 713, 314, 355, 859, 2232, 6484, 1197, 2379, 375, 1575, 276, 3264, 1524, 255, 247, 575, 253, 2484, 289, 2371, 396, 345, 25526, 335, 1657, 314, 355, 859, 3699, 6484, 1197, 4036, 725, 270, 340, 16891, 409, 2415, 892, 3671, 255, 25818, 366, 9038, 255, 263, 360, 409, 22626, 345, 248, 892, 2913, 1437, 314, 355, 859, 486, 933, 313, 461, 3463, 556, 1603, 1396, 289, 360, 1140, 4121, 3463, 396, 1215, 705, 396, 313, 8170, 363, 2598, 1019, 3721, 7529, 8889, 1890, 600, 1633, 596, 12993, 313, 2635, 276, 360, 1349, 4095, 253, 532, 6949, 2484, 270, 24658, 486, 933, 554, 867, 1147, 5113, 335, 713, 255, 262, 248, 4678, 272, 486, 720, 289, 19493, 1606, 255, 332, 4991, 3526, 285, 3896, 4906, 313, 6071, 799, 396, 313, 461, 314, 9802, 2350, 2020, 19097, 7515, 532, 6949, 186, 340, 2955, 289, 6427, 939, 326, 7445, 285, 3272, 253, 532, 6949, 255, 1297, 253, 612, 1119, 1591, 270, 859, 486, 532, 6949, 2484, 13461, 486, 285, 7350, 253, 532, 6949, 13870, 285, 3272, 3264, 1524, 255, 1554, 939, 326, 248, 3117, 11784, 270, 859, 2333, 3699, 6484, 1197, 2552, 335, 360, 276, 248, 3264, 1524, 1222, 255, 549, 326, 396, 270, 1065, 582, 461, 777, 285, 4711, 27321, 453, 253, 532, 6949, 270, 673, 313, 1804, 248, 2555, 3171, 270, 673, 554, 253, 1603, 554, 3393, 285, 4137, 642, 811, 285, 1039, 396, 867, 289, 4378, 811, 285, 1039, 725, 335, 904, 313, 5083, 1305, 755, 1915, 314, 2058, 253, 1112, 720, 255, 264, 554, 725, 285, 471, 285, 326, 8824, 270, 600, 313, 632, 19761, 270, 673, 313, 2979, 90, 270, 959, 777, 285, 476, 19158, 335, 253, 532, 6949, 2484, 289, 867, 2307, 335, 849, 1404, 270, 9819, 2045, 359, 1125, 403, 1954, 366, 24143, 5040, 811, 640, 4238, 7228, 335, 8801, 345, 253, 8901, 270, 465, 1021, 2162, 255, 10204, 1255, 3171, 363, 3241, 276, 253, 532, 6949, 5369, 1197, 326, 1575, 255, 9541, 558, 326, 29825, 725, 345, 1255, 5670, 5083, 1262, 272, 480, 10436, 270, 959, 777, 285, 867, 366, 253, 532, 6949, 2484, 289, 4137, 642, 904, 313, 1763, 335, 253, 1172, 363, 536, 867, 882, 480, 314, 11623, 10030, 15993, 11717, 608, 54, 2695, 27985, 879, 859, 360, 476, 2084, 697, 811, 285, 1012, 5967, 335, 3264, 1524, 375, 3322, 777, 3404, 285, 4482, 285, 891, 558, 9930, 255, 344, 5162, 335, 12800, 1048, 4106, 301, 377, 313, 1868, 270, 10924, 849, 9585, 449, 473, 289, 3404, 558, 326, 276, 6794, 1363, 64, 1912, 2954, 15, 1, 34, 25048, 272, 27596, 186, 2968, 10745, 25048, 272, 27596, 26231, 3962, 2057, 289, 3036, 2587, 253, 6178, 272, 11018, 276, 4832, 4478, 270, 17682, 558, 1636, 285, 578, 355, 6305, 9769, 289, 6178, 272, 11018, 363, 3515, 544, 186, 355, 6644, 12835, 4382, 335, 2958, 2057, 186, 355, 13969, 556, 1632, 285, 2587, 2904, 1608, 2189, 186, 355, 13480, 1714, 3649, 285, 1959, 3870, 289, 4200, 186, 2478, 17, 2926, 5468, 186, 6000, 448, 480, 720, 186, 2478, 17, 8318, 5468, 186, 47, 268, 445, 80, 467, 1494, 70, 4306, 80, 186, 3734, 14, 5444, 26207, 3166, 13463, 2226, 270, 52, 19178, 1513, 6568, 10745, 314, 4861, 2893, 24391, 646, 23187, 572, 91, 448, 356, 5585, 18, 406, 31484, 14, 2947, 19, 21, 375, 1726, 11834, 7582, 8537, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35, 58, 53, 3475, 41, 2540, 1028, 3021, 18694, 18437, 5957, 9016, 6949, 53, 12071, 36, 2744, 13290, 64, 21, 8230, 1628, 24288, 24, 8230, 393, 3528, 2548, 9771, 542, 6136, 45, 20982, 45, 14, 7214, 25791, 414, 35, 58, 53, 3475, 41, 2540, 1028, 3021, 18694, 18437, 5957, 9016, 6949, 53, 12071, 36, 2744, 13290, 64, 21, 8230, 1628, 24288, 24, 8230, 393, 3528, 2548, 9771, 542, 6136, 45, 20982, 45, 14, 7214, 25791, 24908, 186, 251, 9247, 8110, 14243, 414, 414, 10007, 414, 2655, 551, 1644, 313, 253, 693, 272, 2593, 7780, 255, 28609, 3358, 2219, 332, 27366, 731, 5608, 2573, 2219, 864, 831, 904, 4961, 285, 3499, 363, 248, 1914, 315, 3593, 1895, 746, 6492, 14049, 9247, 2325, 13430, 11804, 272, 1716, 2307, 285, 1552, 1811, 746, 11384, 289, 2274, 6492, 23409, 34, 9247, 313, 248, 1697, 272, 5140, 375, 6716, 4006, 746, 2219, 822, 5927, 272, 248, 4788, 272, 21543, 1583, 4960, 7780, 19654, 6950, 2552, 2307, 363, 248, 2167, 6615, 8110, 4427, 2568, 13, 255, 34, 16584, 5459, 5106, 14322, 3475, 9771, 24271, 58, 748, 5957, 29750, 414, 34, 16584, 5459, 5106, 14322, 3475, 9771, 24271, 58, 748, 5957, 29750, 10940, 517, 64, 21, 414, 7574, 6003, 186, 2655, 13547, 12036, 2328, 551, 391, 23901, 950, 18, 2591, 2655, 551, 391, 23901, 950, 18, 8052, 1697, 272, 2328, 13547, 8869, 1625, 345, 2769, 24547, 2219, 332, 1562, 10313, 500, 327, 794, 847, 68, 22636, 9638, 5956, 14864, 356, 22314, 406, 2655, 551, 391, 186, 32379, 1072, 14680, 268, 16083, 186, 5956, 11444, 7532, 356, 10303, 406, 2655, 551, 391, 186, 46, 1986, 21664, 3043, 23115, 2328, 13547, 414, 32748, 2328, 13547, 366, 953, 19331, 19609, 1045, 20790, 1107, 2591, 10303, 2328, 13547, 414, 32748, 2328, 13547, 366, 953, 19331, 19609, 1045, 20790, 1107, 2328, 551, 391, 23901, 950, 19, 2591, 2655, 551, 391, 23901, 950, 19, 8052, 1697, 2328, 551, 391, 8869, 1625, 345, 25276, 24457, 13519, 359, 1562, 10313, 721, 871, 847, 68, 22636, 2591, 9550, 19867, 389, 5140, 8110, 186, 3737, 1747, 5830, 265, 6981, 18582, 268, 2328, 551, 391, 23901, 950, 20, 2591, 2655, 551, 391, 23901, 950, 20, 8052, 1697, 272, 8869, 1625, 345, 25276, 23562, 18077, 2655, 551, 391, 272, 452, 6528, 3778, 6490, 9754, 680, 2655, 551, 391, 272, 7544, 303, 515, 3778, 4557, 56, 84, 680, 2655, 551, 391, 272, 393, 5459, 84, 3778, 6811, 54, 5459, 84, 406, 2655, 551, 391, 23901, 950, 21, 2591, 2655, 551, 391, 23901, 950, 21, 8052, 1697, 272, 8869, 1625, 345, 4800, 13192, 8905, 18077, 45, 13151, 2328, 551, 391, 356, 3197, 324, 5690, 680, 22669, 262, 2328, 551, 391, 356, 15535, 20378, 613, 8468, 680, 12569, 2328, 551, 391, 356, 41, 13800, 46, 680, 10371, 57, 2328, 551, 391, 356, 42, 10166, 10927, 19, 680, 52, 4557, 16, 5549, 27059, 2328, 551, 391, 356, 2208, 1203, 1549, 680, 11006, 15, 13357, 987, 4331, 2328, 551, 391, 255, 22314, 11804, 255, 22859, 11006, 9914, 2655, 551, 391, 23901, 950, 22, 2591, 2655, 551, 391, 23901, 950, 22, 8052, 1697, 272, 8869, 1625, 345, 4800, 3351, 7766, 1790, 19917, 3397, 356, 14941, 263, 8739, 255, 8270, 8905, 8852, 16, 9709, 20950, 9914, 1586, 4253, 414, 45, 13151, 16, 12569, 950, 6382, 9550, 2281, 6897, 558, 476, 2011, 7235, 186, 47, 3311, 1625, 345, 902, 22458, 289, 4907, 902, 13192, 8252, 270, 2655, 551, 1644, 2142, 29750, 414, 2655, 551, 1644, 2142, 29750, 2655, 551, 1644, 1135, 409, 326, 5696, 721, 871, 2063, 27, 9550, 34, 406, 41, 8810, 432, 1135, 314, 35, 406, 4501, 602, 1135, 6492, 34, 406, 41, 8810, 432, 1135, 414, 9550, 600, 1135, 9753, 2048, 1794, 433, 2518, 14845, 268, 4059, 11804, 721, 3428, 3909, 255, 263, 433, 26471, 3428, 11804, 270, 340, 22312, 2142, 9151, 276, 253, 4318, 433, 696, 396, 313, 8612, 696, 871, 1324, 11804, 359, 29826, 375, 696, 1539, 9247, 313, 7991, 270, 340, 1275, 943, 272, 253, 4876, 313, 248, 3481, 272, 11804, 1747, 248, 24508, 31467, 255, 822, 2838, 811, 253, 11804, 359, 2398, 270, 2148, 8195, 253, 24508, 31467, 448, 248, 5619, 1115, 248, 22312, 272, 253, 878, 4147, 721, 565, 18929, 2424, 313, 4349, 270, 10940, 517, 64, 1058, 414, 35, 406, 4501, 1610, 1135, 7294, 9550, 600, 1135, 9223, 285, 3233, 12039, 2603, 253, 878, 1031, 721, 248, 1031, 272, 565, 18929, 11804, 270, 340, 17951, 1295, 341, 253, 22312, 4876, 15751, 285, 9710, 672, 16590, 253, 2406, 2115, 272, 253, 878, 255, 292, 433, 30772, 11804, 2568, 2655, 551, 1644, 6959, 2591, 414, 2655, 551, 1644, 6959, 2591, 2655, 551, 1644, 4876, 672, 326, 10313, 721, 363, 7163, 2151, 7294, 9550, 19504, 27454, 2328, 551, 1644, 17799, 2370, 253, 2032, 22312, 4876, 8777, 340, 905, 3786, 289, 1199, 25732, 22312, 6959, 359, 29750, 414, 2928, 2370, 253, 2032, 22312, 4876, 8777, 340, 905, 3786, 289, 1199, 25732, 22312, 6959, 359, 29750, 39, 20657, 400, 14, 10461, 6492, 41, 8810, 432, 22312, 6492, 46, 24775, 272, 13966, 1375, 2538, 6492, 3500, 272, 755, 6959, 16721, 285, 650, 272, 253, 22312, 2063, 345, 2643, 13495, 314, 5432, 341, 2219, 44, 14, 10461, 313, 277, 16120, 22312, 4876, 314, 39, 20657, 400, 14, 10461, 313, 277, 22363, 22312, 4876, 314, 41, 8810, 432, 22312, 313, 5708, 289, 2121, 315, 462, 24775, 272, 24442, 313, 248, 2198, 27454, 22312, 4876, 270, 2928, 536, 1911, 905, 3786, 4876, 1028, 14, 10461, 4876, 2568, 414, 2928, 536, 1911, 905, 3786, 4876, 1028, 14, 10461, 4876, 2568, 44, 1633, 4876, 558, 582, 253, 1464, 3253, 7294, 9550, 31551, 369, 2658, 6608, 356, 509, 2899, 1444, 1700, 1214, 1656, 13538, 253, 1277, 5514, 10822, 186, 13538, 253, 3264, 272, 973, 1444, 285, 253, 1277, 287, 1709, 186, 13895, 253, 1444, 1625, 345, 5172, 3264, 1028, 14, 11101, 4876, 2591, 44, 14, 11101, 4876, 6199, 517, 345, 248, 1461, 335, 1028, 255, 344, 966, 272, 11804, 314, 18018, 986, 253, 1028, 9247, 9857, 356, 9742, 315, 255, 347, 186, 7016, 517, 253, 1247, 3267, 6865, 272, 253, 613, 3359, 433, 186, 31291, 268, 713, 285, 253, 14316, 9247, 4223, 314, 3030, 17537, 1328, 253, 1028, 9247, 9857, 255, 1639, 18911, 253, 186, 31440, 6865, 1246, 1861, 359, 2443, 314, 18379, 64, 20, 289, 64, 21, 2658, 10589, 272, 253, 613, 3359, 5205, 186, 31440, 1244, 276, 253, 2121, 20477, 1601, 762, 345, 564, 14, 11101, 4876, 2591, 29572, 345, 564, 14, 11101, 4876, 7802, 1038, 16543, 186, 4578, 15739, 255, 19185, 285, 2584, 289, 3652, 2046, 186, 4578, 3245, 25904, 6022, 1295, 414, 32004, 3334, 8775, 14390, 13547, 14835, 186, 4578, 6481, 6950, 3892, 414, 48, 5195, 25132, 823, 1529, 309, 313, 11969, 28271, 255, 76, 313, 11969, 537, 551, 391, 1270, 332, 244, 313, 11969, 3762, 515, 270, 24091, 255, 76, 255, 85, 2870, 10231, 79, 314, 4578, 3639, 790, 544, 914, 799, 1676, 313, 3388, 255, 1660, 904, 697, 186, 4578, 10752, 1925, 6266, 448, 248, 2406, 16715, 270, 18018, 1208, 313, 1156, 314, 4578, 17198, 285, 11737, 1028, 255, 344, 966, 272, 11804, 255, 247, 6167, 186, 4578, 2208, 544, 285, 6786, 29573, 878, 289, 642, 14380, 186, 4578, 3623, 5339, 285, 6098, 11804, 366, 1602, 8575, 301, 89, 7143, 186, 4578, 31533, 3267, 1625, 345, 1557, 9857, 186, 4578, 3030, 17537, 1328, 9857, 1625, 345, 1557, 9053, 8739, 4457, 862, 272, 248, 9247, 2591, 13203, 4457, 862, 272, 248, 9247, 8739, 4457, 862, 272, 248, 9247, 29750, 414, 13203, 4457, 862, 272, 248, 9247, 29750, 340, 1266, 4388, 285, 1265, 248, 9247, 26794, 313, 7294, 9550, 14360, 18, 28115, 1019, 19453, 1583, 4960, 7780, 186, 6582, 1458, 363, 267, 21867, 2219, 1396, 20950, 2219, 4957, 1969, 16202, 14360, 19, 28115, 1019, 28138, 746, 3778, 77, 13151, 16202, 14360, 20, 28115, 1019, 66, 991, 1315, 1963, 84, 31957, 186, 14360, 21, 28115, 1019, 17357, 2355, 17503, 186, 14360, 22, 64, 22997, 537, 13547, 4739, 17503, 186, 14360, 23, 64, 22997, 11619, 2769, 4302, 186, 6582, 29473, 2769, 2219, 2423, 1094, 2769, 5165, 4557, 5459, 2474, 21679, 6039, 14322, 3475, 9771, 29373, 5957, 2020, 2591, 4557, 5459, 2474, 21679, 6039, 14322, 3475, 9771, 29373, 5957, 2020, 1547, 9247, 5927, 272, 2172, 2028, 2731, 270, 1294, 2731, 359, 578, 19, 406, 30751, 6897, 1270, 20, 406, 17984, 5101, 1270, 3500, 657, 620, 248, 1661, 1295, 341, 313, 2635, 335, 253, 8227, 285, 1315, 800, 1295, 314, 25296, 3263, 877, 6897, 255, 84, 9882, 255, 332, 27073, 186, 4158, 1158, 272, 3904, 30281, 5404, 255, 68, 1862, 255, 332, 612, 18108, 8227, 186, 52, 3064, 363, 22458, 335, 253, 9247, 186, 3500, 4800, 313, 24008, 544, 255, 1534, 359, 929, 10464, 3641, 877, 6897, 186, 4158, 1158, 272, 632, 7780, 276, 253, 9247, 612, 730, 253, 27073, 289, 5101, 64, 22, 270, 10940, 517, 64, 2510, 414, 20, 10512, 578, 25296, 2758, 2955, 285, 253, 9247, 186, 47, 10374, 356, 8270, 2570, 289, 5661, 2703, 746, 680, 22862, 8942, 5140, 3602, 289, 30372, 2024, 2862, 345, 186, 13051, 476, 5172, 8729, 314, 6244, 84, 363, 248, 10012, 16, 12773, 14903, 877, 3589, 1280, 289, 9247, 186, 13051, 476, 871, 299, 24859, 3325, 19548, 313, 396, 2216, 911, 414, 3013, 313, 396, 2216, 911, 2655, 551, 391, 359, 21440, 4675, 5631, 12403, 7780, 359, 2901, 7812, 2219, 332, 17327, 1770, 313, 1798, 991, 2219, 772, 11804, 359, 20335, 289, 1331, 5684, 730, 2861, 2653, 2568, 465, 783, 1666, 272, 2956, 1034, 9247, 359, 2876, 5684, 1232, 5978, 2861, 2653, 5631, 52, 31030, 536, 1746, 1197, 1350, 476, 285, 693, 892, 4250, 285, 1817, 248, 9247, 2568, 18020, 7294, 355, 414, 18020, 7294, 355, 19377, 8110, 186, 1799, 1688, 430, 5101, 3778, 17897, 7560, 252, 15001, 6965, 406, 3365, 2812, 487, 345, 9247, 8110, 2591, 3365, 2812, 487, 345, 9247, 8110, 19864, 3994, 265, 1202, 356, 12867, 1790, 23838, 680, 31932, 11444, 7532, 356, 71, 16088, 2374, 680, 19727, 3524, 16179, 356, 9477, 9656, 1834, 70, 350, 272, 650, 746, 680, 22364, 15668, 356, 6354, 3627, 1790, 10670, 10087, 680, 23827, 12268, 5201, 356, 6558, 54, 255, 10237, 255, 25335, 255, 37, 4895, 680, 26172, 289, 3122, 68, 13652, 356, 537, 551, 391, 272, 11804, 680, 37, 21004, 13886, 356, 9169, 2491, 680, 28861, 1202, 356, 370, 1764, 270, 1696, 1447, 680, 15632, 78, 1202, 356, 19444, 12611, 861, 2216, 680, 3639, 790, 1202, 356, 537, 13547, 14, 12272, 289, 1602, 14, 12272, 586, 4408, 6293, 9599, 487, 345, 9247, 8110, 2591, 6293, 9599, 487, 345, 9247, 8110, 3364, 326, 7928, 285, 5275, 366, 642, 2002, 186, 22220, 642, 1224, 2232, 620, 9256, 3962, 448, 2082, 27742, 363, 9247, 2091, 186, 14257, 3189, 1632, 1109, 326, 31579, 2022, 186, 2446, 2997, 7235, 345, 783, 4800, 313, 902, 1232, 345, 2165, 4800, 6192, 29750, 414, 898, 3632, 29750, 2655, 551, 391, 359, 13085, 31121, 5140, 4006, 18408, 186, 11740, 254, 27513, 2283, 289, 14108, 366, 8639, 2393, 186, 3449, 7668, 276, 8227, 289, 2997, 4764, 359, 2237, 285, 1039, 186, 537, 551, 391, 596, 13085, 289, 6162, 393, 10669, 7794, 314, 2655, 551, 391, 1625, 2861, 31068, 356, 45, 13151, 1625, 11804, 406, 2251, 326, 2867, 186, 7290, 1529, 1890, 23797, 2591, 23797, 15487, 14244, 10075, 8498, 270, 738, 5024, 15, 1808, 324, 5690, 5631, 3690, 5024, 15, 537, 13547, 3244, 270, 3690, 5024, 5799, 7521, 270, 738, 5024, 5631, 380, 86, 270, 4948, 186, 5024, 270, 69, 7520, 270, 2448, 1717, 14491, 314, 5024, 15, 17897, 392, 5827, 270, 738, 5024, 15, 1432, 30191, 3627, 270, 738, 1, 340, 1998, 77, 2852, 577, 392, 6875, 1634, 16081, 12810, 20315, 356, 8847, 5837, 276, 64, 20, 375, 596, 642, 272, 64, 32036, 17, 566, 36, 12355, 5925, 4903, 453, 64, 1204, 2481, 2063, 406, 332, 3965, 6491, 23201, 7641, 4468, 1544, 10394, 356, 7688, 345, 1998, 7054, 10599, 462, 17808, 8, 1436, 340, 3176, 6875, 2151, 2838, 253, 7405, 272, 5925, 4903, 341, 476, 818, 2505, 272, 24607, 12736, 3838, 406, 247, 253, 1687, 3315, 314, 6739, 596, 697, 253, 6705, 272, 2481, 878, 276, 2582, 4892, 80, 52, 667, 19930, 578, 959, 6615, 64, 32036, 17, 5925, 4903, 453, 64, 1204, 2481, 2063, 453, 566, 36, 12355, 356, 340, 10599, 4380, 521, 9957, 292, 1436, 1283, 21953, 596, 5387, 12736, 1030, 255, 581, 4046, 259, 16983, 15321, 265, 314, 959, 6615, 253, 1387, 2481, 2063, 27, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4331, 6934, 41, 8423, 64, 728, 380, 11382, 3862, 5381, 4927, 19376, 11327, 23821, 64, 993, 24, 366, 12989, 1019, 9845, 18367, 186, 340, 11142, 6934, 41, 8423, 393, 9506, 356, 28147, 282, 1717, 9288, 4969, 406, 7574, 64, 728, 3862, 11646, 4927, 64, 993, 24, 11327, 11646, 366, 3645, 276, 9868, 4446, 313, 5874, 1868, 255, 549, 341, 253, 1172, 409, 1809, 289, 30570, 335, 14068, 270, 340, 5468, 64, 728, 854, 1949, 1854, 2843, 1868, 3036, 253, 1172, 285, 5694, 991, 276, 253, 3862, 14068, 270, 4611, 409, 3224, 5610, 253, 9868, 13395, 272, 253, 11397, 375, 1350, 8093, 5111, 1949, 1854, 255, 292, 7494, 453, 253, 6169, 7163, 2151, 270, 340, 5610, 544, 6169, 359, 1687, 276, 480, 2357, 314, 18170, 255, 9836, 313, 248, 1199, 7383, 2168, 335, 818, 2553, 285, 248, 320, 270, 1245, 558, 476, 285, 6514, 632, 253, 2028, 4292, 2398, 285, 253, 2168, 12750, 255, 347, 640, 1599, 285, 1315, 1020, 270, 4611, 409, 3224, 5694, 991, 7863, 276, 253, 11142, 6934, 41, 8423, 5468, 64, 728, 3862, 854, 861, 640, 359, 32011, 276, 253, 2037, 12361, 289, 4723, 272, 3862, 270, 974, 480, 3443, 255, 344, 1172, 359, 2976, 3132, 285, 1384, 858, 253, 2168, 433, 4558, 253, 1172, 366, 277, 9410, 272, 253, 1949, 1854, 1265, 270, 24658, 705, 558, 652, 870, 713, 285, 812, 253, 1967, 2063, 272, 2084, 341, 916, 326, 5208, 276, 253, 4969, 14068, 270, 1173, 1492, 1644, 253, 2643, 935, 1949, 1854, 558, 870, 253, 1172, 285, 16678, 253, 7586, 1115, 272, 253, 14068, 289, 7468, 15070, 314, 4331, 6934, 41, 8423, 393, 9506, 5468, 64, 728, 3862, 11646, 4927, 64, 993, 24, 11327, 11646, 366, 12989, 186, 18, 1683, 34, 406, 9939, 253, 1387, 847, 1469, 21978, 578, 5233, 406, 19139, 276, 253, 833, 3775, 289, 28875, 253, 6243, 7300, 414, 186, 74, 270, 47, 793, 555, 746, 313, 15932, 276, 12908, 3900, 270, 5410, 253, 3685, 5337, 2931, 5558, 272, 11417, 24940, 285, 253, 16648, 314, 9939, 414, 74, 270, 14184, 186, 3900, 270, 25727, 1400, 186, 6814, 406, 9864, 2572, 253, 1387, 7300, 359, 2987, 375, 7080, 414, 186, 74, 270, 340, 2147, 3914, 272, 11174, 4027, 313, 400, 79, 41, 19, 79, 12, 19, 186, 3900, 270, 6183, 9312, 5307, 359, 1352, 3519, 6578, 314, 9939, 414, 74, 270, 7354, 186, 1777, 20698, 359, 253, 1352, 3519, 6578, 255, 2003, 14808, 359, 253, 1606, 6555, 6578, 186, 7513, 406, 22210, 253, 2246, 276, 253, 965, 3923, 255, 9860, 253, 1508, 3923, 414, 186, 27376, 414, 55, 21443, 729, 17482, 27, 414, 39, 8304, 7294, 12908, 9939, 414, 68, 270, 31359, 12406, 186, 27376, 414, 55, 21443, 729, 17482, 27, 414, 39, 8304, 7294, 12908, 14911, 406, 51, 1373, 3954, 253, 1387, 7300, 433, 11508, 253, 1500, 3910, 414, 186, 74, 270, 340, 6322, 272, 9073, 9632, 276, 253, 1514, 272, 2673, 3969, 433, 253, 901, 272, 12908, 9939, 6601, 35, 406, 10583, 2188, 186, 13573, 14805, 253, 338, 302, 7127, 7993, 276, 253, 2309, 1514, 255, 16507, 696, 253, 6322, 272, 9073, 9632, 313, 5542, 642, 3629, 14537, 314, 3900, 270, 34, 2391, 272, 11417, 247, 1071, 313, 3907, 276, 8392, 314, 9939, 6601, 35, 406, 8149, 10891, 21, 186, 340, 18858, 2391, 272, 9173, 10891, 21, 313, 276, 3907, 8392, 314, 12661, 270, 491, 8172, 272, 12406, 3337, 1741, 276, 8773, 21490, 314, 14911, 406, 29354, 273, 1986, 186, 18485, 406, 15451, 273, 1986, 186, 22049, 406, 6000, 272, 253, 1861, 186, 9939, 6601, 34, 406, 35, 425, 5888, 186, 405, 270, 340, 901, 272, 9628, 272, 1071, 721, 883, 262, 1054, 3969, 882, 800, 14764, 270, 600, 901, 313, 186, 3988, 363, 12908, 9939, 6601, 35, 406, 48, 4957, 2385, 186, 48, 4957, 2385, 313, 253, 901, 272, 9628, 272, 1071, 721, 883, 262, 1054, 3629, 800, 14764, 314, 87, 270, 1316, 16738, 10420, 313, 3753, 285, 857, 1643, 3039, 12908, 9176, 406, 344, 7314, 3714, 4025, 186, 14911, 406, 66, 2826, 313, 9982, 186, 18485, 406, 344, 8392, 272, 253, 7314, 3714, 7481, 186, 22049, 406, 66, 4833, 10948, 815, 448, 253, 4706, 186, 9939, 6601, 35, 406, 66, 2826, 313, 9982, 186, 59, 79, 1241, 19, 6086, 20, 4557, 13007, 14878, 59, 79, 9, 6086, 20, 4557, 48, 10, 19, 1241, 41, 19, 186, 19, 270, 9403, 3010, 818, 3169, 272, 253, 1387, 414, 186, 74, 270, 11572, 248, 22899, 29339, 6945, 272, 253, 1391, 22181, 85, 654, 746, 314, 3900, 270, 10152, 5963, 877, 462, 531, 350, 554, 30405, 1815, 5210, 3555, 289, 949, 1815, 5210, 3555, 186, 9939, 414, 3900, 270, 1132, 359, 871, 2063, 272, 11529, 2142, 30405, 1815, 5210, 289, 949, 1815, 5210, 785, 285, 812, 253, 2552, 272, 4937, 289, 285, 7279, 811, 1953, 10344, 359, 17501, 453, 10341, 14533, 289, 3685, 270, 7625, 596, 697, 253, 2732, 877, 30405, 1815, 5210, 289, 949, 1815, 5210, 453, 253, 2804, 314, 12661, 270, 11252, 253, 1387, 4186, 366, 253, 870, 272, 248, 10088, 2970, 3102, 578, 21624, 11253, 26877, 366, 4287, 1071, 314, 9939, 414, 12661, 270, 21624, 11253, 1147, 461, 5472, 366, 4402, 1071, 1175, 396, 4623, 345, 285, 5472, 366, 4287, 1071, 255, 6317, 4383, 16789, 31409, 289, 16174, 7191, 2826, 314, 46, 72, 1241, 19, 41, 643, 29068, 46, 72, 9, 13007, 10, 19, 1241, 41, 19, 186, 405, 270, 1099, 313, 15613, 911, 11260, 650, 1123, 314, 9939, 414, 405, 270, 340, 3907, 2325, 272, 3887, 2315, 2218, 2500, 285, 1039, 892, 2624, 313, 1724, 363, 15613, 270, 6014, 414, 3710, 6439, 289, 20974, 285, 6145, 3325, 18142, 314, 87, 270, 1099, 359, 27451, 330, 430, 8377, 911, 11260, 650, 1123, 314, 9939, 414, 55, 408, 330, 430, 8377, 359, 1288, 8377, 341, 359, 1602, 22559, 265, 276, 783, 7673, 255, 772, 672, 326, 2521, 2975, 335, 612, 7673, 270, 2124, 3401, 272, 27451, 330, 430, 8377, 359, 253, 12244, 4749, 375, 6763, 14009, 314, 16644, 270, 7268, 248, 2136, 4399, 345, 16478, 258, 312, 314, 9939, 414, 20891, 258, 312, 313, 253, 4045, 272, 253, 3150, 3147, 433, 696, 800, 8299, 9685, 650, 1750, 285, 831, 1114, 3150, 13454, 270, 7625, 596, 697, 3072, 258, 312, 314, 20, 270, 9403, 3010, 818, 3169, 272, 253, 1387, 2084, 414, 186, 74, 270, 7268, 253, 4929, 272, 253, 6907, 2731, 64, 18, 285, 64, 23, 276, 253, 1387, 6945, 578, 9939, 414, 6309, 2151, 359, 253, 4929, 363, 6907, 433, 253, 12136, 363, 276, 253, 6945, 1861, 578, 19, 270, 49, 722, 18017, 319, 3900, 186, 20, 270, 10399, 16977, 1282, 395, 364, 186, 22, 270, 49, 473, 265, 1352, 186, 3900, 270, 1099, 313, 253, 777, 285, 693, 24215, 1469, 71, 10825, 2325, 879, 9939, 414, 38, 1789, 12981, 2325, 3036, 276, 7565, 253, 1632, 20472, 270, 673, 652, 3036, 285, 1105, 67, 2782, 22229, 272, 2425, 314, 12661, 270, 9864, 253, 532, 15577, 2879, 4929, 272, 253, 1387, 6830, 578, 9939, 414, 66, 270, 18, 355, 15861, 11366, 186, 405, 270, 1099, 313, 9661, 985, 911, 919, 1147, 800, 1190, 1357, 471, 285, 1290, 3963, 879, 9939, 414, 340, 1190, 272, 1480, 272, 277, 11307, 453, 277, 20562, 313, 1724, 363, 9661, 985, 270, 2164, 7755, 253, 9661, 985, 272, 2032, 7994, 20230, 255, 1129, 558, 1012, 2352, 2589, 272, 902, 7994, 20230, 6984, 15509, 15505, 270, 1132, 359, 5708, 15505, 877, 21287, 272, 4346, 255, 353, 22614, 2538, 255, 17009, 255, 78, 2272, 888, 289, 29804, 270, 859, 360, 6621, 253, 21287, 272, 7994, 20230, 360, 558, 1200, 341, 632, 755, 7673, 476, 328, 307, 4753, 1350, 861, 640, 582, 461, 2714, 2770, 345, 276, 1372, 270, 7229, 335, 253, 4346, 255, 344, 328, 3113, 2714, 270, 600, 2258, 5448, 26158, 253, 2946, 272, 248, 1354, 24263, 335, 755, 7673, 270, 3440, 1354, 3041, 276, 253, 21287, 1175, 461, 276, 253, 5372, 831, 272, 755, 7673, 359, 253, 17669, 26363, 272, 25893, 1054, 289, 253, 1391, 6763, 26363, 270, 600, 10353, 285, 253, 5226, 341, 755, 7673, 3412, 277, 24263, 270, 974, 480, 2338, 255, 344, 11118, 901, 4592, 253, 1112, 335, 632, 755, 7673, 1350, 276, 20452, 272, 253, 13328, 1387, 556, 26251, 314, 87, 270, 1099, 359, 253, 871, 2063, 272, 13837, 911, 7268, 556, 2975, 314, 9939, 414, 1132, 359, 871, 902, 2063, 272, 13837, 270, 2080, 3036, 285, 4537, 253, 26486, 453, 253, 2066, 285, 253, 11273, 8377, 289, 359, 1724, 363, 2908, 4435, 13837, 270, 18170, 255, 344, 612, 2505, 255, 3398, 4435, 13837, 4537, 253, 26486, 453, 253, 11273, 8377, 1329, 285, 253, 2066, 314, 16644, 270, 1099, 916, 326, 253, 6049, 272, 253, 10142, 272, 27891, 17275, 276, 253, 1391, 1352, 879, 9939, 414, 22486, 388, 17275, 313, 253, 9073, 22051, 4660, 335, 4526, 268, 253, 4524, 285, 253, 1352, 1514, 335, 8470, 25089, 270, 974, 480, 2338, 255, 344, 10142, 272, 27891, 17275, 276, 1704, 409, 1836, 253, 4524, 29397, 4190, 272, 253, 1704, 270, 600, 1109, 1783, 10142, 272, 4524, 276, 253, 1704, 1514, 255, 6317, 5485, 276, 248, 1807, 1724, 363, 27679, 6638, 314, 21, 270, 9403, 3010, 818, 650, 272, 253, 1387, 414, 186, 74, 270, 9939, 253, 1387, 2084, 366, 3121, 285, 253, 5351, 12406, 276, 2673, 578, 66, 270, 9864, 253, 1933, 272, 253, 5313, 3154, 7700, 366, 5351, 12406, 314, 67, 270, 8670, 253, 657, 1509, 725, 272, 253, 30531, 255, 4625, 289, 10936, 592, 314, 68, 270, 8670, 253, 27076, 2336, 657, 272, 253, 25949, 350, 314, 69, 270, 8670, 253, 5584, 657, 272, 253, 11157, 314, 70, 270, 5324, 359, 253, 17182, 12161, 3630, 879, 9939, 414, 74, 21261, 270, 39, 8304, 313, 248, 5313, 3154, 7700, 366, 5351, 12406, 255, 247, 2673, 186, 74, 14244, 270, 49, 386, 307, 313, 253, 657, 341, 5927, 272, 30531, 255, 886, 592, 289, 5215, 186, 74, 8345, 26705, 87, 592, 313, 253, 27076, 657, 272, 253, 25949, 350, 186, 74, 7795, 270, 1038, 31707, 313, 253, 5584, 1327, 272, 253, 11157, 186, 74, 3031, 270, 1173, 502, 7063, 253, 17182, 12161, 186, 3900, 270, 465, 253, 11067, 272, 382, 26114, 578, 66, 270, 8670, 253, 901, 272, 5370, 272, 275, 21221, 667, 314, 67, 270, 7268, 253, 26960, 4186, 276, 15092, 1176, 5281, 272, 382, 29047, 314, 68, 270, 7268, 253, 1295, 289, 2970, 3914, 272, 4192, 319, 667, 314, 69, 270, 7268, 248, 2970, 3102, 335, 253, 2913, 272, 2833, 345, 382, 26114, 31409, 314, 70, 270, 3013, 313, 396, 2555, 285, 5149, 277, 3311, 453, 720, 285, 720, 879, 9939, 414, 3900, 270, 66, 270, 35, 6978, 554, 901, 313, 1724, 363, 253, 901, 272, 5370, 272, 275, 21221, 667, 186, 3900, 14244, 270, 340, 26960, 4186, 276, 253, 15092, 1176, 5281, 272, 22157, 313, 1687, 2151, 578, 1345, 20, 1041, 1041, 20, 70, 1469, 24925, 1345, 186, 3900, 8345, 270, 36, 627, 319, 667, 313, 5632, 366, 253, 29121, 7314, 272, 22157, 255, 6317, 5815, 253, 16173, 1120, 314, 18094, 3914, 272, 4192, 319, 667, 313, 13596, 20, 1345, 39, 23, 314, 42, 74, 7795, 270, 673, 313, 2555, 285, 5149, 277, 3311, 453, 720, 285, 720, 363, 396, 5152, 3224, 7972, 2067, 363, 248, 943, 272, 253, 4524, 341, 675, 12127, 448, 396, 15, 1, 46, 681, 27805, 15332, 26675, 313, 248, 2703, 10658, 335, 253, 6375, 341, 2829, 360, 285, 1892, 255, 86, 26916, 255, 332, 12156, 4816, 289, 30286, 3629, 486, 10289, 270, 673, 409, 29894, 882, 4816, 289, 30286, 345, 248, 5101, 255, 332, 409, 3521, 4147, 363, 15549, 79, 5771, 270, 673, 409, 300, 3011, 255, 27026, 255, 13034, 255, 20745, 255, 332, 5610, 4816, 270, 673, 409, 1223, 15206, 84, 272, 3587, 255, 2827, 4816, 255, 3244, 5539, 4816, 255, 332, 8516, 2143, 270, 673, 409, 14103, 2593, 4816, 3629, 579, 3673, 54, 26916, 270, 673, 620, 277, 4420, 285, 6488, 524, 986, 3004, 3587, 799, 14103, 268, 270, 1065, 409, 693, 396, 363, 248, 2703, 5076, 8411, 276, 248, 6375, 2769, 270, 673, 409, 326, 528, 22296, 276, 363, 248, 2703, 26675, 335, 566, 5236, 46, 6025, 375, 400, 44, 22773, 270, 1065, 409, 693, 396, 285, 1879, 8673, 7893, 1018, 253, 20993, 2689, 6499, 1594, 1981, 270, 673, 2104, 366, 253, 2183, 3041, 272, 248, 6375, 10289, 255, 549, 253, 4728, 289, 1329, 17461, 476, 556, 3984, 2600, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10752, 255, 581, 5749, 2925, 2292, 1285, 11089, 276, 248, 26914, 1524, 5051, 1215, 285, 476, 713, 276, 253, 15516, 255, 6202, 1500, 3101, 1285, 1687, 285, 556, 1295, 270, 1452, 255, 3006, 1930, 1524, 313, 461, 1215, 2507, 2925, 289, 26418, 1524, 2292, 270, 673, 554, 697, 31746, 4717, 2799, 289, 2925, 1524, 276, 253, 1250, 7405, 255, 4789, 285, 2241, 1661, 1524, 2129, 255, 332, 1552, 248, 17679, 1524, 2002, 285, 7621, 314, 23, 11482, 18213, 285, 27300, 276, 3525, 1930, 5819, 186, 355, 3995, 251, 20026, 14708, 53, 285, 2360, 8589, 10162, 186, 355, 15281, 20429, 2925, 10677, 285, 2230, 289, 2595, 1964, 272, 6172, 186, 355, 11740, 254, 3232, 2425, 882, 1967, 2925, 13395, 186, 355, 2927, 486, 7621, 22626, 882, 2925, 8284, 2957, 186, 355, 12719, 2274, 1360, 882, 6424, 1524, 186, 355, 23474, 26418, 2292, 1018, 1422, 29477, 186, 5078, 1524, 2057, 3583, 276, 248, 26914, 1524, 5051, 1019, 4747, 2925, 289, 4717, 1019, 8132, 5618, 248, 3443, 1019, 7377, 345, 7621, 1306, 287, 815, 289, 3393, 4776, 270, 1696, 929, 3029, 811, 1021, 1524, 2292, 360, 1540, 276, 486, 26914, 1524, 1705, 255, 1534, 359, 248, 1831, 2925, 1524, 2711, 341, 3703, 8899, 3185, 799, 6615, 270, 2927, 554, 2806, 713, 314, 340, 64, 23, 11482, 18213, 4583, 3364, 1048, 26174, 276, 3525, 1930, 5819, 186, 18, 270, 3995, 251, 20026, 14708, 53, 14478, 285, 7412, 8589, 4405, 2516, 186, 16858, 90, 2143, 313, 248, 3004, 929, 14, 2899, 335, 2847, 554, 7621, 270, 7021, 3135, 360, 7423, 285, 873, 26914, 255, 5932, 517, 345, 17552, 905, 272, 253, 25383, 9868, 84, 255, 87, 20871, 255, 332, 6614, 9231, 1237, 607, 360, 693, 285, 6399, 4717, 2799, 721, 2360, 8589, 10162, 314, 9920, 8589, 313, 632, 697, 16885, 2136, 255, 67, 667, 16215, 10162, 696, 1939, 345, 650, 2167, 1524, 6022, 604, 6385, 255, 6317, 8870, 7621, 1809, 285, 2136, 255, 13217, 271, 2143, 341, 8674, 7785, 2010, 3976, 270, 1611, 255, 22463, 2360, 10162, 313, 461, 697, 1215, 438, 445, 756, 2143, 721, 2136, 6062, 270, 673, 313, 8316, 2132, 1524, 7210, 289, 3504, 10162, 341, 3745, 973, 650, 12311, 9831, 270, 2447, 902, 2360, 8589, 13395, 409, 326, 785, 255, 264, 554, 1156, 285, 1985, 831, 1025, 1295, 314, 974, 1123, 255, 2236, 248, 9868, 345, 248, 901, 255, 344, 3253, 409, 326, 4230, 363, 248, 3823, 255, 7485, 253, 12693, 289, 1746, 435, 1116, 409, 326, 7163, 276, 277, 930, 4773, 255, 6317, 2576, 253, 2143, 16770, 20742, 289, 9171, 314, 19, 270, 15281, 20429, 11482, 3466, 379, 762, 285, 3466, 379, 289, 13144, 1259, 27307, 272, 22007, 377, 186, 1065, 1560, 326, 19100, 2859, 3013, 409, 1197, 532, 1215, 2230, 7621, 1018, 253, 3828, 4980, 289, 1854, 911, 42, 409, 1804, 2595, 253, 1964, 272, 6172, 2930, 7620, 255, 1229, 2925, 10677, 360, 409, 582, 396, 1331, 596, 3722, 255, 18444, 1854, 1396, 255, 332, 652, 3703, 612, 3185, 270, 14632, 10677, 359, 272, 871, 2063, 578, 12780, 729, 11667, 414, 1294, 785, 276, 253, 30662, 272, 248, 2077, 255, 4922, 253, 11559, 272, 973, 1524, 1120, 16, 14516, 285, 870, 7621, 2806, 556, 2204, 289, 16999, 1524, 433, 21182, 713, 882, 5462, 314, 8196, 78, 729, 4096, 414, 1294, 359, 785, 1253, 253, 11559, 272, 248, 2077, 285, 5904, 861, 253, 14530, 620, 16722, 1087, 253, 1524, 7210, 314, 2927, 554, 1200, 811, 640, 409, 326, 3583, 276, 26914, 1524, 882, 277, 1123, 270, 2927, 554, 2222, 255, 1129, 359, 4829, 285, 2708, 248, 64, 20, 8580, 11874, 345, 1472, 16567, 2235, 68, 619, 1306, 18885, 270, 600, 2799, 8344, 1967, 5126, 942, 363, 3735, 6207, 2799, 255, 81, 2882, 2799, 255, 332, 3735, 1834, 9520, 21890, 2799, 270, 2631, 973, 1600, 554, 11874, 255, 260, 2925, 4096, 276, 253, 831, 272, 2360, 8589, 309, 2046, 16820, 409, 326, 2843, 363, 29688, 4096, 270, 24658, 705, 558, 870, 713, 8051, 289, 16999, 632, 640, 476, 5704, 341, 1600, 314, 2631, 253, 11559, 272, 253, 2889, 11874, 255, 1129, 409, 1552, 713, 366, 277, 2925, 16602, 729, 4096, 270, 2631, 253, 16602, 729, 4890, 255, 29831, 253, 2274, 272, 7621, 882, 253, 5819, 5911, 3524, 356, 45, 4331, 795, 3440, 730, 253, 3691, 7863, 272, 253, 7621, 255, 344, 599, 4331, 558, 652, 1552, 4366, 942, 363, 578, 355, 8138, 3022, 285, 2103, 253, 4096, 186, 355, 7878, 272, 9223, 3022, 186, 355, 8138, 3022, 285, 2103, 973, 1949, 276, 253, 4096, 186, 3300, 360, 3408, 1809, 285, 4366, 612, 730, 1215, 253, 5694, 272, 7621, 255, 1129, 558, 326, 1865, 285, 2230, 713, 1811, 289, 2595, 1964, 272, 6172, 270, 974, 1123, 255, 347, 905, 272, 486, 7621, 5022, 2593, 9223, 285, 2103, 2084, 345, 253, 6636, 2799, 4161, 255, 264, 10862, 253, 2799, 10148, 345, 480, 1168, 461, 838, 3892, 2512, 314, 13724, 632, 480, 255, 16696, 10677, 652, 1552, 253, 6881, 285, 20965, 2634, 453, 253, 3828, 4096, 13395, 942, 363, 2593, 8493, 4387, 2084, 289, 6162, 276, 253, 833, 3775, 289, 1540, 892, 2163, 13395, 942, 363, 10777, 14716, 2292, 255, 72, 353, 1451, 309, 2046, 16820, 289, 596, 314, 20, 270, 11740, 254, 8796, 1610, 10654, 882, 11482, 6759, 1921, 186, 4206, 1960, 536, 2404, 2348, 1021, 2799, 3602, 696, 16269, 3958, 248, 2814, 272, 2143, 255, 264, 554, 5143, 360, 914, 1540, 253, 797, 14011, 285, 812, 802, 16388, 255, 74, 3031, 1353, 344, 2143, 2635, 285, 3235, 253, 1524, 7210, 270, 2281, 253, 612, 2143, 255, 31323, 285, 363, 253, 797, 79, 625, 285, 812, 802, 16388, 255, 8132, 326, 13882, 453, 3964, 3583, 276, 253, 2799, 363, 396, 1560, 11513, 78, 7621, 289, 3142, 690, 713, 453, 253, 4394, 1524, 6022, 270, 974, 1123, 255, 347, 360, 1599, 285, 6233, 486, 5955, 345, 811, 285, 693, 248, 1060, 2739, 412, 1348, 255, 1129, 777, 79, 1197, 6233, 713, 345, 253, 2183, 272, 1060, 2739, 412, 2045, 255, 2485, 360, 879, 3811, 360, 2708, 248, 4717, 7725, 345, 253, 1472, 14011, 3665, 14, 2694, 1306, 16388, 255, 344, 1472, 79, 625, 3665, 14, 2694, 1306, 11123, 409, 1804, 326, 2843, 363, 3232, 2425, 882, 2925, 6413, 375, 2360, 8589, 8414, 270, 600, 558, 1039, 26914, 1524, 253, 4425, 3683, 285, 3703, 6021, 2010, 270, 974, 1123, 255, 347, 253, 3232, 1030, 5927, 272, 248, 1567, 272, 2377, 2398, 285, 248, 2168, 255, 4835, 1342, 3026, 409, 326, 785, 270, 13724, 755, 255, 1449, 409, 652, 326, 2843, 882, 9868, 84, 255, 70, 20658, 289, 612, 13395, 270, 3431, 255, 347, 7621, 359, 6018, 255, 1449, 409, 4378, 253, 4161, 314, 21, 270, 2927, 5251, 23903, 3580, 12975, 1973, 369, 23317, 3525, 1930, 5819, 186, 13630, 22175, 313, 1724, 285, 5013, 14530, 8459, 289, 6619, 4991, 285, 2031, 8277, 270, 2927, 1003, 486, 7621, 22626, 882, 10159, 289, 19589, 558, 652, 1985, 713, 3084, 556, 9311, 272, 3728, 289, 3408, 5857, 10741, 270, 1507, 8284, 313, 929, 3056, 18186, 285, 253, 2172, 7821, 272, 248, 4717, 270, 16241, 620, 1509, 396, 1575, 285, 22626, 4267, 396, 270, 34, 1831, 272, 253, 2925, 8284, 2957, 1540, 578, 27149, 27750, 414, 465, 248, 4628, 17888, 255, 66, 5401, 1348, 20098, 248, 1949, 285, 696, 7621, 1833, 556, 5202, 289, 12695, 270, 1245, 409, 326, 785, 799, 486, 7621, 359, 3465, 2348, 253, 14091, 289, 13459, 713, 2307, 313, 461, 1575, 314, 14632, 24172, 84, 414, 14632, 4609, 84, 359, 13032, 2957, 341, 1552, 486, 7621, 248, 4302, 285, 6612, 556, 12695, 433, 10520, 453, 248, 1031, 272, 3910, 285, 253, 1949, 20873, 270, 1245, 409, 326, 785, 285, 2597, 12695, 345, 1967, 4412, 942, 363, 253, 6899, 272, 253, 2643, 375, 8370, 2799, 255, 344, 2168, 640, 916, 844, 285, 326, 9064, 255, 332, 596, 7425, 453, 16022, 4628, 289, 8935, 345, 253, 1557, 1524, 314, 22, 270, 12719, 14864, 12262, 882, 24968, 5819, 186, 3258, 1412, 536, 5749, 341, 3135, 5955, 359, 9064, 289, 248, 1953, 720, 1762, 20553, 255, 1449, 1140, 396, 2205, 285, 13602, 632, 640, 476, 5704, 270, 4001, 285, 253, 9193, 1003, 6416, 433, 30999, 2150, 516, 67, 7584, 4367, 398, 255, 8984, 9208, 3610, 285, 9193, 64, 3200, 1186, 999, 904, 640, 476, 5704, 276, 1215, 248, 1600, 270, 600, 313, 2096, 4558, 2274, 1360, 313, 5314, 1156, 314, 23023, 2274, 1360, 313, 632, 697, 16885, 5806, 255, 13217, 271, 2143, 285, 7621, 973, 720, 640, 1140, 396, 2205, 285, 13602, 2232, 255, 247, 253, 30662, 272, 248, 3393, 270, 340, 1266, 8385, 272, 2274, 1360, 313, 1285, 1895, 345, 4298, 255, 1274, 1529, 255, 1274, 4275, 314, 20646, 755, 4091, 276, 2605, 255, 2752, 4093, 1109, 326, 248, 1811, 5406, 285, 6399, 2274, 1360, 730, 882, 248, 6424, 2785, 911, 9339, 1743, 268, 2274, 1360, 882, 6424, 1524, 558, 1418, 7621, 285, 1809, 253, 1030, 363, 289, 799, 640, 1267, 270, 974, 1123, 255, 18543, 486, 8625, 1215, 16442, 650, 272, 253, 3253, 799, 4006, 248, 2980, 314, 859, 360, 6399, 277, 930, 4773, 375, 248, 26234, 19772, 253, 3253, 255, 822, 7621, 409, 1809, 345, 556, 6424, 255, 484, 640, 558, 476, 285, 582, 313, 1809, 253, 2143, 255, 10494, 556, 9695, 255, 332, 873, 345, 366, 253, 867, 270, 34, 2814, 272, 720, 12002, 2276, 23, 270, 23474, 7899, 1441, 18213, 12690, 1422, 29477, 186, 53, 12548, 14530, 2292, 313, 1199, 6318, 276, 2799, 270, 673, 3036, 360, 2595, 1524, 3880, 289, 7668, 289, 652, 2737, 861, 7621, 359, 3964, 253, 1763, 642, 272, 1524, 270, 1507, 1960, 26914, 1524, 5927, 272, 1213, 2925, 289, 26418, 2292, 255, 5014, 2925, 2292, 359, 26416, 882, 253, 599, 4331, 270, 1099, 697, 253, 26418, 2292, 911, 15438, 1215, 10085, 2925, 2292, 870, 5904, 253, 6899, 272, 253, 2799, 289, 14530, 3552, 879, 600, 313, 799, 253, 2202, 272, 1422, 29477, 3218, 276, 270, 23127, 12611, 356, 89, 29477, 406, 30709, 717, 253, 16676, 289, 10085, 272, 632, 253, 2292, 248, 14530, 4704, 276, 255, 4747, 2925, 289, 26418, 270, 42, 7782, 2452, 360, 1560, 326, 19100, 811, 26418, 2292, 359, 5520, 289, 26416, 270, 34, 5819, 25639, 24368, 356, 45, 8844, 406, 303, 2640, 632, 1524, 2292, 276, 253, 831, 272, 1472, 11910, 7300, 13612, 4061, 1930, 1524, 313, 20540, 277, 12258, 4199, 285, 6233, 486, 7621, 1019, 4084, 7621, 1012, 253, 1763, 272, 1213, 4717, 2799, 363, 1020, 363, 299, 9162, 270, 8793, 28638, 755, 2925, 8532, 276, 486, 26914, 1524, 5051, 558, 11861, 1409, 486, 2799, 13585, 248, 461, 329, 2031, 314, 1507, 448, 1915, 255, 10913, 3502, 253, 1763, 1119, 285, 870, 486, 5955, 582, 248, 3941, 313, 461, 341, 3077, 270, 7620, 255, 1129, 777, 79, 1197, 9721, 697, 341, 21642, 1890, 2281, 360, 777, 313, 248, 3393, 3941, 12594, 4248, 696, 558, 870, 360, 1567, 904, 360, 1599, 486, 5955, 285, 582, 448, 556, 10748, 289, 253, 1763, 1119, 285, 870, 713, 582, 1288, 4776, 270, 11372, 849, 2072, 299, 12755, 285, 1140, 642, 596, 697, 811, 285, 1265, 253, 4425, 26914, 1524, 2391, 15, 1, 24799, 6309, 871, 15771, 255, 8216, 248, 1295, 285, 12292, 556, 13414, 15, 5063, 3934, 10376, 578, 339, 1787, 16077, 3588, 255, 14125, 18, 414, 5292, 27110, 4048, 14125, 19, 414, 5292, 27110, 13773, 13316, 5292, 27110, 12157, 491, 383, 11548, 491, 89, 18, 255, 89, 19, 580, 17, 255, 17, 186, 491, 14125, 18, 31374, 4023, 491, 14125, 19, 31374, 4023, 491, 2003, 1422, 18, 4613, 3819, 22259, 18, 406, 332, 1422, 19, 4613, 3819, 22259, 19, 1656, 1379, 347, 22189, 18, 17985, 18, 13873, 14125, 19, 17985, 19, 12157, 1722, 383, 6009, 22259, 18, 17985, 18, 7500, 1722, 89, 18, 6515, 18, 186, 1722, 89, 19, 6515, 18, 186, 1379, 6265, 22189, 18, 17985, 18, 28526, 14125, 19, 17985, 19, 12157, 1722, 89, 19, 6515, 18, 186, 1379, 4312, 578, 1722, 89, 18, 6515, 18, 186, 491, 2194, 524, 474, 9185, 8352, 7583, 64, 19, 186, 491, 5241, 13324, 186, 491, 383, 11548, 491, 89, 580, 17043, 454, 7733, 3460, 22259, 19, 24475, 263, 22189, 18, 255, 24686, 314, 491, 475, 309, 276, 22189, 18, 578, 1379, 347, 309, 276, 1422, 289, 1422, 19038, 28526, 17, 414, 960, 7002, 9765, 1350, 861, 4384, 64, 17, 186, 1722, 383, 6009, 3920, 680, 1722, 89, 19038, 62, 20645, 18, 186, 491, 2194, 524, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25372, 2624, 1540, 21316, 8852, 18880, 255, 258, 537, 14477, 255, 332, 10610, 27856, 12228, 556, 902, 2731, 270, 3475, 35, 255, 38, 24859, 255, 36, 3021, 7295, 255, 332, 14613, 27856, 476, 18149, 289, 28749, 270, 3278, 18149, 276, 248, 1393, 359, 3869, 2307, 285, 831, 18184, 261, 270, 10861, 1074, 261, 359, 1354, 276, 10047, 289, 5750, 1447, 1716, 270, 10544, 289, 3484, 18149, 359, 18184, 271, 12765, 285, 2798, 13384, 877, 713, 314, 3295, 248, 10610, 9316, 28653, 255, 292, 248, 18939, 255, 1129, 777, 285, 3801, 253, 10390, 1895, 3351, 270, 600, 2439, 7578, 621, 19540, 289, 2413, 1357, 1915, 270, 673, 652, 2421, 7352, 877, 1770, 289, 2274, 5263, 10732, 84, 705, 341, 360, 1109, 1409, 2782, 28131, 1265, 5594, 4658, 314, 10544, 18149, 3867, 476, 253, 18149, 289, 28749, 375, 311, 17086, 363, 1925, 5457, 270, 465, 1323, 18149, 255, 344, 1323, 289, 1557, 19733, 359, 1156, 270, 1696, 253, 5682, 16678, 558, 3586, 345, 253, 1557, 314, 974, 4040, 255, 22, 987, 313, 1687, 448, 650, 1275, 272, 253, 10610, 255, 822, 14067, 248, 1557, 272, 64, 18, 416, 289, 620, 248, 3837, 272, 64, 18, 256, 19153, 270, 340, 4765, 4837, 2348, 253, 10610, 558, 326, 64, 18, 987, 270, 3522, 255, 252, 253, 612, 1275, 255, 344, 4765, 2867, 558, 326, 64, 22, 14, 18, 255, 2358, 18265, 285, 64, 21, 987, 270, 600, 672, 461, 326, 10902, 276, 905, 3043, 649, 344, 1323, 2392, 276, 253, 10610, 558, 326, 64, 18, 655, 270, 1283, 2587, 253, 4765, 4837, 289, 1323, 2392, 255, 344, 3555, 22126, 1666, 272, 253, 10610, 939, 326, 2650, 285, 2587, 253, 3837, 270, 340, 3837, 272, 1323, 18149, 939, 326, 3867, 276, 2519, 1317, 73, 677, 314, 1173, 1123, 272, 248, 3263, 10610, 313, 248, 18000, 10610, 270, 340, 4679, 272, 248, 3263, 10610, 1540, 253, 5333, 3612, 255, 344, 10610, 18173, 356, 13775, 2518, 64, 1489, 375, 64, 2857, 28860, 677, 823, 25616, 272, 15150, 268, 289, 2572, 253, 10610, 313, 32468, 375, 2347, 88, 10977, 255, 332, 2063, 272, 28749, 314, 1099, 313, 248, 10610, 9316, 879, 34, 10610, 9316, 313, 248, 19524, 272, 14893, 375, 18149, 20208, 433, 248, 6391, 1503, 22606, 4718, 24521, 255, 502, 78, 24521, 14463, 255, 263, 399, 22650, 1400, 27294, 270, 5078, 10610, 9316, 313, 15150, 271, 433, 248, 27294, 1400, 942, 363, 16725, 36, 255, 7659, 263, 431, 282, 19521, 255, 332, 1762, 567, 11673, 285, 2877, 253, 5333, 1632, 270, 673, 652, 2434, 396, 596, 9130, 799, 276, 693, 270, 36, 544, 27856, 3867, 476, 28749, 448, 973, 1275, 272, 253, 10610, 314, 1099, 554, 253, 3443, 272, 248, 10610, 9316, 879, 36, 544, 27856, 359, 4595, 285, 15150, 253, 10828, 14893, 375, 18149, 453, 2833, 255, 71, 8952, 255, 14171, 28767, 255, 378, 5308, 274, 255, 3244, 1592, 255, 2700, 270, 1245, 359, 1895, 276, 902, 7143, 289, 8175, 289, 3128, 1625, 345, 253, 5333, 1632, 314, 5858, 6003, 335, 248, 10610, 9316, 186, 355, 32710, 3612, 414, 32710, 3612, 5373, 3017, 253, 10610, 2091, 270, 34, 3428, 6781, 10610, 558, 461, 1360, 991, 9804, 1175, 248, 1324, 6781, 10610, 558, 314, 355, 8119, 289, 4765, 10188, 414, 340, 4765, 289, 1557, 19733, 272, 248, 10610, 9316, 5043, 800, 5333, 1684, 314, 355, 6894, 4107, 4837, 414, 34, 4765, 4837, 3969, 799, 253, 4765, 448, 253, 1275, 272, 248, 10610, 313, 2336, 730, 341, 448, 253, 4423, 270, 673, 4955, 2033, 285, 2650, 3837, 276, 248, 4444, 289, 409, 326, 4112, 433, 2958, 253, 6781, 272, 248, 10610, 314, 355, 11182, 1209, 1400, 414, 11182, 1209, 1400, 32074, 253, 1430, 17962, 14893, 270, 673, 8362, 285, 2877, 14893, 453, 6697, 2688, 289, 2071, 2136, 84, 289, 22776, 14499, 453, 11427, 5114, 5291, 314, 355, 25603, 274, 2392, 414, 673, 939, 326, 363, 1730, 363, 1575, 1262, 396, 6704, 253, 2508, 285, 4537, 277, 14613, 3484, 9566, 314, 355, 7395, 5682, 16678, 356, 34, 56, 40, 3321, 34, 56, 40, 313, 253, 3008, 2496, 335, 7428, 253, 6781, 272, 5114, 27264, 270, 34, 56, 40, 3815, 253, 13207, 272, 253, 1557, 15432, 13477, 4190, 272, 253, 5682, 270, 340, 2031, 253, 416, 56, 40, 255, 344, 28504, 253, 5682, 558, 326, 314, 355, 24319, 10188, 414, 24319, 8261, 2195, 1836, 253, 5114, 2274, 272, 253, 10610, 9316, 270, 5956, 2330, 3962, 253, 17962, 5286, 1991, 5045, 285, 11029, 10316, 270, 24319, 1889, 652, 1836, 22776, 3162, 270, 2318, 313, 2096, 22776, 313, 2340, 253, 2330, 26986, 2389, 3038, 356, 475, 11845, 19348, 255, 344, 2330, 1684, 313, 1926, 4269, 3349, 120, 36, 285, 3100, 2813, 3349, 120, 36, 289, 335, 452, 20699, 38, 255, 264, 313, 1926, 3328, 3349, 120, 36, 285, 3100, 7434, 3349, 120, 36, 795, 974, 7064, 3043, 1861, 64, 5446, 3349, 120, 36, 255, 26697, 566, 788, 22849, 18149, 359, 461, 5143, 314, 355, 8893, 2272, 1202, 10188, 414, 18682, 366, 1415, 990, 2272, 1202, 2173, 870, 285, 9710, 253, 966, 272, 15000, 6958, 1305, 2136, 11173, 314, 355, 465, 12833, 4232, 356, 5577, 406, 8341, 414, 5577, 10188, 3815, 253, 10902, 4963, 2215, 792, 11383, 2188, 272, 18732, 289, 17491, 721, 6697, 289, 5114, 11996, 14477, 270, 34, 2031, 6593, 10188, 6704, 1811, 4232, 2215, 1071, 289, 612, 12065, 2711, 314, 355, 6894, 4107, 9919, 4662, 4082, 356, 55, 17141, 51, 3321, 55, 17141, 51, 939, 326, 363, 1730, 363, 1575, 270, 673, 6704, 8074, 390, 2712, 253, 2561, 272, 248, 10610, 255, 23253, 3870, 255, 332, 13899, 276, 253, 28749, 335, 17361, 276, 253, 10610, 375, 21791, 14750, 314, 355, 18757, 1323, 9649, 414, 673, 313, 2398, 285, 253, 2508, 272, 253, 10610, 9316, 285, 25340, 369, 2833, 5080, 433, 5286, 389, 289, 22776, 10316, 270, 673, 313, 1415, 285, 476, 991, 1323, 9649, 314, 355, 6549, 72, 17791, 414, 673, 3969, 799, 17443, 2826, 313, 6958, 276, 28131, 270, 600, 313, 248, 3029, 272, 6646, 276, 7914, 1932, 1224, 1730, 642, 72, 17791, 2500, 359, 2216, 285, 2626, 248, 3156, 1632, 314, 5359, 2231, 4679, 335, 248, 10610, 9316, 186, 355, 36, 544, 1697, 414, 1316, 11508, 248, 10610, 1697, 255, 17513, 486, 2769, 554, 3747, 1625, 345, 7246, 289, 3752, 1936, 356, 28109, 375, 1350, 16074, 795, 974, 4040, 255, 344, 10610, 1697, 335, 277, 9316, 276, 248, 6376, 6056, 2769, 558, 326, 902, 453, 253, 10610, 1697, 2216, 276, 248, 13005, 29285, 270, 17274, 255, 9108, 253, 966, 272, 27264, 2635, 289, 253, 5682, 12824, 2705, 285, 1360, 253, 746, 10464, 270, 34, 10610, 409, 326, 272, 871, 2063, 414, 8728, 265, 15432, 13477, 289, 1323, 18149, 314, 355, 20790, 4757, 1697, 414, 2631, 11508, 253, 10610, 255, 24716, 253, 21791, 1697, 341, 2104, 1763, 335, 486, 2769, 270, 10760, 255, 9108, 253, 1632, 289, 7246, 270, 28246, 480, 4072, 433, 16976, 366, 248, 25169, 891, 652, 6245, 815, 28749, 289, 4652, 248, 3251, 272, 3910, 453, 253, 1559, 12533, 270, 34, 21791, 2334, 5916, 2712, 366, 10610, 1265, 289, 9316, 7859, 313, 248, 1415, 4072, 2790, 640, 558, 1552, 248, 2657, 1275, 3665, 14860, 2391, 341, 620, 838, 6090, 453, 1233, 272, 2002, 314, 355, 2860, 1448, 268, 414, 3528, 42, 3318, 433, 6007, 5080, 433, 11427, 18149, 289, 14961, 313, 4660, 335, 28407, 6860, 270, 21594, 939, 326, 16588, 1350, 799, 4250, 313, 17798, 11902, 255, 332, 15150, 268, 2421, 341, 1697, 272, 4232, 270, 39, 7561, 15150, 268, 4652, 516, 8788, 4232, 1175, 18426, 3224, 255, 4741, 396, 25137, 335, 3617, 1936, 270, 21398, 4219, 313, 1750, 4420, 270, 673, 313, 2501, 596, 19719, 255, 6985, 3077, 9815, 272, 253, 3484, 314, 355, 4636, 78, 954, 375, 10610, 25556, 375, 2833, 20194, 17662, 414, 4636, 78, 954, 289, 10610, 584, 9249, 359, 785, 285, 6915, 28749, 289, 10610, 678, 8421, 270, 1245, 1552, 8672, 10389, 877, 253, 28749, 289, 253, 18149, 270, 34, 10610, 25556, 313, 248, 1199, 3012, 4420, 1175, 2833, 20194, 313, 253, 1763, 270, 340, 2833, 20194, 313, 3298, 806, 253, 4605, 1666, 289, 313, 21971, 6878, 285, 1552, 248, 8064, 3683, 270, 673, 4652, 10230, 8672, 10389, 4232, 289, 3036, 366, 8038, 3837, 270, 2164, 253, 612, 1648, 255, 1467, 78, 954, 313, 248, 24285, 289, 6391, 1503, 22606, 7900, 271, 3745, 341, 2421, 253, 1763, 8672, 10389, 270, 673, 313, 1415, 285, 3801, 248, 25169, 341, 15822, 806, 78, 14420, 276, 29239, 335, 253, 2782, 408, 2199, 13950, 720, 289, 2260, 314, 355, 36, 278, 5566, 5357, 414, 28922, 271, 28749, 3703, 248, 6915, 281, 483, 4605, 270, 49, 2417, 1938, 7292, 28749, 409, 326, 281, 483, 289, 637, 78, 483, 3224, 1175, 3369, 9277, 1197, 363, 436, 22296, 363, 5619, 270, 26562, 251, 308, 23364, 28749, 2737, 253, 1500, 12048, 272, 253, 20590, 11151, 1416, 314, 355, 21134, 414, 5577, 36, 8239, 14, 32682, 255, 5577, 36, 16, 14691, 6011, 416, 14, 23, 643, 1247, 64, 20, 255, 332, 706, 45, 6856, 6003, 359, 2521, 270, 6137, 253, 3973, 6856, 6003, 289, 4564, 9865, 486, 3286, 314, 355, 5279, 46, 414, 14908, 1915, 3610, 285, 1440, 1625, 345, 1393, 9070, 255, 10655, 7031, 255, 332, 2769, 3747, 270, 55, 531, 626, 366, 10390, 1895, 3351, 255, 17813, 1265, 9246, 255, 332, 15064, 2566, 9316, 1552, 253, 21829, 6427, 270, 1507, 2712, 366, 2782, 6427, 255, 17097, 248, 17965, 289, 18238, 25169, 314, 20257, 1265, 5996, 335, 248, 10610, 9316, 186, 24808, 7640, 3870, 289, 22545, 448, 253, 1112, 720, 313, 277, 9675, 1265, 5010, 799, 2552, 276, 248, 18186, 1632, 844, 248, 10610, 9316, 270, 9547, 1005, 1109, 326, 26870, 1265, 255, 24940, 28127, 2140, 255, 5608, 4757, 20590, 255, 332, 1021, 596, 270, 2124, 272, 253, 1763, 1265, 2142, 335, 10610, 9316, 359, 7163, 2151, 314, 355, 340, 5682, 19925, 8032, 939, 326, 363, 1539, 363, 1575, 270, 53, 469, 9989, 3573, 3319, 1392, 253, 6961, 901, 255, 247, 8892, 2688, 345, 253, 22761, 3436, 253, 28749, 255, 13019, 24474, 15177, 314, 355, 12873, 2595, 253, 706, 45, 5215, 270, 673, 3036, 285, 4137, 642, 253, 5682, 990, 2272, 1202, 1461, 314, 355, 5053, 4179, 335, 17012, 7090, 1795, 270, 5858, 1259, 632, 7418, 453, 253, 21791, 3906, 6175, 314, 355, 12873, 863, 528, 751, 356, 85, 247, 255, 15372, 346, 255, 29493, 350, 406, 864, 253, 5682, 285, 2798, 14877, 289, 15461, 270, 2895, 751, 313, 652, 5339, 335, 991, 21087, 4544, 314, 355, 8724, 1580, 16579, 649, 2120, 20194, 6988, 12086, 375, 2095, 2748, 2742, 751, 12136, 314, 355, 12873, 11737, 253, 966, 272, 14401, 314, 355, 3193, 32761, 285, 7864, 285, 253, 9316, 314, 355, 34, 1020, 17528, 14616, 5357, 313, 2555, 314, 5078, 2769, 3218, 366, 3145, 3747, 255, 332, 248, 2167, 10610, 9316, 2524, 15425, 632, 272, 713, 270, 10083, 248, 25169, 891, 558, 870, 360, 21576, 882, 755, 1869, 906, 4658, 15, 1, 12225, 8094, 255, 344, 2646, 272, 253, 867, 272, 5985, 1158, 313, 2011, 285, 341, 272, 18028, 270, 5410, 2597, 6348, 255, 346, 1259, 713, 289, 1309, 6109, 289, 7352, 341, 359, 1625, 345, 253, 20133, 6348, 270, 2318, 554, 2096, 23030, 359, 2621, 248, 1825, 2300, 272, 2183, 270, 7098, 277, 2357, 4980, 3237, 433, 248, 5985, 386, 4623, 345, 285, 326, 2621, 248, 4996, 2399, 272, 2778, 270, 1452, 255, 1534, 359, 783, 1156, 3641, 877, 253, 871, 32426, 270, 340, 965, 313, 341, 5985, 1158, 867, 276, 253, 1309, 255, 2003, 18028, 867, 276, 253, 2560, 270, 7610, 4703, 315, 255, 4747, 359, 6410, 272, 19567, 253, 2264, 270, 4514, 2732, 313, 341, 6109, 5985, 1158, 359, 2216, 285, 2399, 6348, 1444, 1794, 255, 2003, 18028, 1412, 1540, 556, 1395, 2436, 272, 1892, 289, 1780, 270, 600, 313, 253, 2338, 2096, 2183, 1412, 7639, 471, 366, 10016, 7642, 272, 253, 1112, 2818, 270, 340, 3691, 2732, 313, 341, 18028, 476, 253, 4470, 272, 16080, 84, 469, 285, 5303, 366, 556, 1251, 255, 2003, 5985, 1158, 359, 3562, 285, 253, 1030, 640, 359, 1865, 285, 2774, 775, 1199, 8064, 720, 9959, 270, 23510, 2538, 359, 448, 2898, 21749, 285, 1540, 556, 12695, 255, 7485, 6109, 5985, 1158, 939, 2798, 3463, 705, 448, 632, 3793, 270, 3522, 255, 2446, 2873, 277, 2357, 433, 248, 23200, 276, 248, 16998, 375, 18474, 255, 1808, 3677, 341, 783, 12695, 672, 326, 1285, 4230, 363, 6348, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6798, 18953, 20958, 25473, 186, 6798, 18953, 313, 248, 5045, 1783, 272, 2071, 544, 4570, 2392, 289, 24672, 276, 4832, 2786, 276, 7986, 289, 253, 1508, 5045, 1783, 272, 24672, 276, 253, 3970, 255, 17628, 272, 480, 2559, 409, 2071, 596, 24672, 730, 9314, 750, 525, 932, 15823, 314, 1099, 313, 6093, 18953, 879, 6798, 18953, 313, 461, 248, 2167, 1807, 270, 673, 313, 2876, 248, 1214, 272, 3571, 4028, 341, 1783, 2982, 285, 253, 21616, 7404, 255, 2154, 1412, 2033, 285, 277, 1959, 276, 2302, 3436, 253, 3571, 255, 3988, 363, 8775, 23896, 2302, 356, 42, 7529, 795, 42, 7529, 620, 248, 2642, 1684, 272, 64, 1204, 14, 643, 5862, 29469, 255, 2446, 2031, 730, 480, 255, 344, 4992, 272, 3504, 23478, 1959, 13681, 314, 1316, 7643, 276, 253, 2240, 6211, 255, 4835, 18953, 409, 1412, 326, 5739, 255, 26954, 3931, 289, 8416, 4570, 2392, 289, 24672, 270, 1452, 255, 27689, 272, 20672, 4570, 2392, 1412, 914, 1672, 3135, 253, 1807, 620, 3552, 271, 270, 600, 313, 2096, 23478, 313, 1724, 363, 797, 344, 257, 798, 553, 298, 3051, 272, 9940, 6113, 8907, 255, 292, 23478, 16290, 253, 7404, 255, 11429, 4570, 313, 5083, 253, 2982, 313, 2340, 8416, 314, 25310, 762, 1540, 2990, 483, 3571, 11758, 375, 5055, 341, 409, 2336, 289, 12188, 253, 532, 7529, 255, 344, 3545, 313, 289, 3319, 1392, 253, 10382, 272, 253, 1807, 285, 2071, 2258, 3571, 2982, 270, 340, 1697, 272, 1778, 5373, 345, 253, 1697, 289, 253, 1783, 272, 23478, 314, 29263, 313, 1575, 914, 366, 2240, 5891, 289, 1778, 270, 3300, 2426, 359, 1412, 15932, 255, 9264, 289, 8805, 3571, 3642, 255, 822, 1540, 248, 23478, 7262, 359, 2521, 255, 5482, 335, 2786, 448, 1608, 272, 253, 1807, 270, 2447, 23478, 409, 1836, 6393, 255, 344, 1387, 10344, 2371, 360, 448, 248, 2031, 1608, 578, 355, 10678, 806, 64, 2157, 186, 355, 5626, 20323, 375, 18366, 4188, 21301, 255, 32460, 21301, 186, 355, 21596, 2579, 9161, 654, 289, 806, 253, 2163, 272, 64, 2055, 186, 355, 17605, 2183, 272, 23478, 186, 355, 5956, 1249, 15876, 356, 79, 4295, 32343, 1074, 680, 355, 9772, 1925, 693, 272, 1661, 6684, 356, 70, 2263, 270, 4030, 6729, 680, 355, 25369, 3571, 4909, 255, 2919, 861, 396, 6953, 276, 8560, 186, 9381, 285, 248, 22615, 272, 2302, 276, 253, 3571, 255, 4835, 18953, 2992, 2982, 285, 253, 21616, 7404, 696, 313, 4660, 335, 23905, 3568, 1030, 453, 253, 3571, 285, 253, 2066, 270, 859, 461, 9089, 7482, 255, 4835, 18953, 409, 6619, 1357, 285, 1472, 85, 445, 5832, 4570, 1306, 332, 4752, 24672, 314, 1132, 359, 248, 966, 272, 2063, 272, 23478, 255, 3591, 596, 7244, 730, 2165, 255, 10685, 7769, 4845, 276, 532, 7529, 289, 7404, 2982, 270, 6739, 697, 253, 1354, 2063, 272, 23478, 289, 253, 3641, 877, 713, 314, 11602, 5891, 289, 1778, 272, 23478, 359, 2521, 285, 19095, 375, 27289, 253, 1807, 10382, 289, 13322, 4570, 270, 12321, 409, 1540, 2990, 483, 3571, 11758, 255, 81, 1712, 255, 77, 5697, 5252, 289, 5944, 9347, 5252, 6921, 345, 253, 1697, 289, 3872, 272, 23478, 314, 22842, 289, 25380, 272, 6093, 18953, 186, 340, 8775, 23896, 2302, 356, 42, 7529, 406, 26940, 433, 23478, 409, 7908, 2982, 253, 21616, 7404, 255, 10685, 248, 18665, 2392, 272, 4570, 270, 31132, 2392, 6401, 366, 13897, 356, 2577, 406, 9966, 255, 9269, 276, 3562, 15950, 4570, 270, 4636, 720, 861, 2299, 17314, 255, 26887, 4570, 558, 652, 326, 4442, 289, 253, 15950, 4570, 10470, 611, 255, 27926, 7233, 2468, 24672, 270, 8907, 255, 1274, 4570, 341, 313, 5083, 453, 253, 21616, 7404, 2982, 313, 8416, 289, 2524, 326, 21469, 314, 1099, 359, 253, 25380, 879, 13606, 255, 4835, 18953, 6428, 1655, 818, 5708, 2426, 270, 2058, 253, 2240, 11534, 272, 253, 905, 1354, 1697, 272, 23478, 797, 7762, 4276, 802, 4835, 18953, 356, 48, 7683, 823, 9966, 4592, 2642, 289, 917, 313, 929, 1906, 375, 12679, 270, 600, 313, 2096, 480, 1807, 313, 17175, 18104, 253, 797, 84, 798, 553, 298, 3051, 272, 9940, 10560, 1173, 7244, 1697, 272, 23478, 255, 8517, 4276, 14390, 3285, 23478, 356, 2879, 40, 823, 2251, 1309, 7769, 2426, 942, 363, 23146, 6283, 255, 3006, 14685, 4570, 255, 9508, 395, 1591, 10874, 255, 20338, 1906, 255, 3527, 5471, 289, 1350, 21285, 270, 600, 313, 248, 2755, 7187, 289, 939, 326, 9706, 5346, 363, 253, 8775, 23896, 2302, 409, 1940, 5314, 991, 289, 1783, 8416, 2982, 1363, 2954, 314, 15587, 272, 6093, 18953, 186, 340, 3078, 3080, 272, 23478, 359, 1994, 14, 3307, 289, 7573, 14, 3307, 255, 1229, 1994, 14, 3307, 1285, 253, 905, 1354, 1697, 314, 17646, 1994, 14, 3307, 23478, 356, 16995, 7683, 680, 16995, 7683, 9907, 23646, 1655, 1906, 375, 20672, 4570, 2392, 9806, 10561, 13897, 4570, 270, 465, 18553, 7683, 253, 532, 7529, 313, 2340, 1861, 64, 1212, 14, 643, 7396, 29469, 270, 2148, 253, 720, 3568, 2426, 2141, 255, 354, 250, 1411, 544, 2982, 620, 2340, 6953, 255, 2691, 255, 344, 23764, 1778, 6428, 253, 2031, 253, 5455, 341, 818, 4570, 2392, 409, 326, 15511, 270, 1316, 17314, 255, 9966, 2392, 558, 6619, 943, 276, 2468, 2392, 272, 13897, 4570, 356, 263, 15950, 4570, 406, 332, 6619, 2468, 4570, 2392, 314, 19109, 1938, 3370, 23478, 375, 1730, 1938, 3370, 23478, 186, 600, 313, 1750, 831, 272, 1994, 14, 3307, 23478, 276, 696, 253, 8775, 23896, 2302, 4592, 1363, 253, 2642, 1115, 255, 4159, 64, 1212, 355, 643, 7396, 29469, 270, 340, 1783, 272, 480, 831, 272, 23478, 313, 461, 3960, 4499, 6257, 255, 772, 313, 6943, 285, 326, 2033, 285, 9616, 454, 289, 15698, 1704, 1893, 285, 253, 21616, 7404, 255, 247, 480, 2559, 253, 532, 7529, 313, 1363, 1472, 5606, 1684, 1306, 8443, 396, 1804, 2992, 2982, 285, 253, 21616, 7404, 270, 19028, 272, 8774, 21301, 255, 16368, 289, 1288, 366, 248, 2183, 272, 12511, 1807, 375, 1730, 1704, 2302, 359, 448, 2031, 1608, 314, 25667, 4276, 14390, 3285, 23478, 313, 8170, 433, 248, 7769, 1959, 276, 3571, 2302, 255, 6755, 2031, 730, 64, 1428, 7396, 29469, 255, 822, 409, 1783, 3931, 1906, 255, 3006, 14685, 4570, 255, 9508, 395, 255, 25552, 289, 15949, 270, 340, 1959, 276, 3571, 2302, 313, 3318, 433, 248, 29146, 276, 253, 4392, 284, 6258, 642, 272, 253, 3571, 255, 1662, 313, 248, 2755, 7187, 289, 939, 326, 4721, 5346, 270, 9636, 7814, 1778, 285, 2132, 253, 29146, 4570, 409, 326, 19091, 5083, 314, 340, 17501, 831, 272, 253, 1807, 341, 313, 1309, 448, 4440, 270, 465, 755, 2162, 255, 67, 26163, 359, 6757, 366, 248, 7147, 341, 27351, 253, 2642, 14554, 272, 4392, 642, 272, 253, 3571, 255, 1449, 359, 2340, 9226, 276, 556, 965, 935, 272, 1372, 270, 1132, 359, 3867, 783, 20672, 2426, 942, 363, 9507, 244, 8812, 255, 28747, 1622, 375, 6685, 1622, 272, 253, 3938, 255, 9204, 375, 1406, 16127, 268, 3938, 375, 1590, 7417, 270, 31540, 313, 2340, 3760, 255, 1229, 248, 1199, 991, 2048, 2087, 255, 864, 11947, 2450, 4570, 314, 6798, 18953, 409, 852, 363, 248, 25109, 272, 3571, 31230, 255, 247, 30174, 375, 612, 2755, 1936, 942, 363, 23121, 7452, 255, 85, 364, 626, 255, 263, 248, 2559, 1747, 333, 301, 3631, 696, 2992, 6677, 270, 2208, 21192, 991, 1704, 2302, 375, 5274, 409, 943, 276, 1750, 3986, 831, 1747, 459, 8650, 23478, 314, 34, 4565, 831, 272, 23478, 255, 1662, 3969, 799, 22051, 453, 253, 3455, 262, 12417, 84, 289, 584, 11535, 253, 14554, 272, 4392, 453, 253, 3571, 5485, 276, 6677, 289, 2982, 285, 253, 3571, 289, 14554, 746, 314, 12321, 272, 23478, 313, 7074, 3017, 253, 10554, 289, 1697, 272, 23478, 1309, 314, 4284, 248, 6523, 6021, 3571, 1136, 276, 10180, 282, 265, 12528, 285, 2806, 335, 23478, 255, 344, 1652, 1477, 3212, 672, 9365, 369, 486, 3571, 285, 6422, 253, 21616, 7404, 335, 4751, 272, 23478, 289, 558, 652, 1650, 253, 8775, 23896, 2302, 356, 42, 7529, 406, 1229, 277, 7231, 1747, 248, 12393, 8924, 270, 3440, 3642, 785, 276, 253, 5653, 272, 23478, 672, 1540, 3568, 2035, 1136, 289, 22632, 6041, 3358, 314, 53, 251, 5091, 4704, 1018, 248, 2785, 696, 10178, 84, 248, 31213, 272, 1874, 345, 285, 253, 3571, 375, 726, 7584, 253, 3571, 366, 11758, 289, 1232, 16913, 16724, 345, 253, 2005, 272, 253, 3571, 285, 1650, 253, 2302, 270, 3300, 486, 532, 7529, 409, 12042, 10134, 3442, 253, 1600, 289, 23478, 409, 1987, 1655, 11584, 532, 7529, 255, 344, 532, 7529, 4963, 4960, 313, 461, 2512, 285, 14892, 4594, 4318, 642, 253, 1807, 270, 859, 917, 359, 4751, 272, 480, 1807, 255, 16198, 3678, 558, 326, 3760, 314, 17096, 14985, 5952, 186, 34, 3568, 2035, 1136, 313, 3128, 285, 3839, 253, 9167, 272, 253, 22632, 13837, 433, 16195, 818, 9793, 11359, 276, 486, 13897, 255, 263, 2097, 2035, 255, 999, 486, 4570, 270, 1065, 558, 326, 5208, 285, 1741, 486, 2239, 276, 4502, 272, 248, 2785, 289, 1894, 3851, 9423, 289, 5043, 799, 360, 1200, 248, 3568, 3484, 276, 486, 2035, 272, 1892, 314, 3403, 1652, 1477, 3212, 672, 652, 854, 486, 21616, 7404, 1018, 1967, 22632, 6041, 3358, 255, 1758, 3518, 21812, 375, 12822, 432, 5016, 12786, 17025, 3536, 356, 48, 4793, 795, 1294, 4764, 1552, 5167, 3587, 289, 1780, 272, 253, 21616, 7404, 289, 409, 326, 785, 335, 3518, 7739, 272, 253, 3587, 289, 15155, 1780, 285, 3646, 818, 1889, 806, 720, 314, 12321, 335, 23478, 5373, 345, 253, 1697, 289, 10554, 272, 253, 1807, 289, 409, 1540, 6694, 942, 363, 3571, 11758, 255, 3795, 1607, 255, 77, 5697, 6012, 375, 3571, 5055, 314, 4600, 25600, 3571, 11758, 285, 2336, 253, 532, 7529, 359, 1412, 253, 965, 26611, 335, 10218, 2302, 5594, 23478, 270, 1294, 11758, 672, 476, 783, 18374, 2097, 1980, 255, 772, 10185, 366, 253, 1778, 1437, 313, 2521, 335, 21793, 4570, 289, 11151, 1003, 253, 10382, 272, 253, 1807, 314, 45, 5697, 289, 23219, 186, 45, 5697, 289, 9347, 5252, 359, 3128, 285, 1447, 253, 1893, 272, 11725, 882, 253, 3571, 433, 2518, 13560, 253, 1844, 272, 4392, 3630, 375, 7045, 253, 14554, 272, 253, 4392, 642, 253, 3571, 270, 3403, 1652, 1477, 3212, 672, 7423, 341, 248, 4069, 272, 5055, 289, 6694, 1109, 326, 253, 905, 2379, 289, 558, 1911, 818, 1778, 3910, 366, 360, 363, 1020, 16807, 360, 285, 277, 256, 21342, 78, 6559, 314, 673, 2524, 326, 17220, 2512, 341, 253, 905, 2379, 1778, 335, 23478, 3969, 799, 253, 1807, 313, 7643, 289, 4721, 2240, 255, 8784, 818, 7404, 2982, 375, 4570, 2392, 3969, 270, 5213, 4570, 341, 313, 5083, 2524, 326, 21469, 270, 600, 313, 2096, 253, 6980, 7876, 313, 6344, 255, 1639, 10216, 486, 4992, 289, 3353, 6831, 433, 2507, 486, 3938, 7695, 433, 277, 1652, 1477, 3212, 345, 248, 3152, 3468, 15, 1, 1443, 3771, 28375, 1471, 692, 3314, 1307, 429, 270, 32156, 2098, 546, 4289, 5516, 30126, 7968, 2190, 11127, 493, 466, 64, 1489, 10411, 26300, 5038, 7901, 11554, 9801, 466, 4231, 25475, 255, 3055, 4017, 8873, 809, 1166, 2117, 9383, 466, 447, 8178, 10387, 520, 30747, 19335, 3771, 7538, 14217, 8225, 4289, 5516, 30126, 940, 9027, 5421, 270, 23343, 5809, 421, 2715, 478, 5998, 493, 421, 4447, 21359, 7630, 429, 1669, 9521, 1051, 17136, 1695, 940, 429, 869, 1614, 2840, 21465, 9198, 8885, 576, 4174, 1931, 4817, 3184, 2840, 1471, 7901, 1919, 2503, 1669, 21768, 998, 5751, 296, 25040, 466, 11703, 6532, 5336, 17913, 439, 1163, 3362, 421, 7110, 24661, 362, 2663, 1001, 421, 940, 6220, 786, 439, 11293, 520, 2840, 27118, 466, 4882, 310, 238, 337, 1002, 1193, 786, 439, 8150, 404, 10808, 421, 29074, 64, 9299, 17, 18356, 14031, 1830, 466, 4078, 941, 385, 17393, 429, 3618, 3362, 520, 10294, 4281, 3384, 6659, 2819, 7047, 13941, 836, 27879, 11554, 421, 28669, 5507, 466, 3512, 421, 3618, 30719, 466, 27095, 1561, 439, 16204, 32662, 2929, 1695, 429, 869, 6661, 12192, 520, 440, 24332, 910, 2311, 17858, 684, 22399, 1002, 692, 7528, 820, 3807, 429, 255, 18100, 4316, 22165, 1976, 1445, 429, 439, 22959, 22000, 669, 3297, 318, 3098, 8189, 766, 464, 11124, 421, 7528, 820, 576, 15239, 24520, 520, 9438, 520, 2184, 429, 439, 4638, 10448, 2311, 6532, 8753, 29923, 3866, 15713, 493, 466, 2004, 2187, 429, 255, 12653, 23800, 4920, 1851, 429, 5411, 439, 13004, 520, 31990, 2098, 669, 25634, 11926, 8123, 64, 7421, 7003, 576, 15796, 593, 1851, 786, 439, 9558, 507, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 1030, 2151, 604, 11256, 914, 285, 1618, 4045, 363, 10408, 285, 2721, 4045, 270, 1130, 248, 4045, 10717, 255, 1129, 939, 326, 26342, 290, 276, 3217, 285, 486, 4045, 289, 1922, 1795, 270, 1099, 4639, 313, 1156, 1030, 2843, 433, 253, 579, 35, 186, 2281, 8029, 285, 248, 1618, 16172, 11588, 359, 1773, 8676, 272, 5682, 14020, 289, 672, 6649, 8817, 272, 6828, 272, 12357, 1262, 640, 3322, 23584, 345, 253, 5682, 6384, 4707, 3629, 4805, 255, 6202, 2258, 16045, 270, 859, 10842, 359, 285, 326, 31728, 276, 12979, 366, 480, 1618, 16172, 11588, 255, 264, 313, 8329, 5143, 341, 14329, 16045, 272, 5682, 6384, 255, 5171, 248, 1724, 18238, 6229, 966, 1509, 3181, 285, 13537, 10842, 314, 355, 8383, 8797, 345, 19638, 1581, 1533, 268, 285, 1440, 5682, 6384, 270, 4501, 397, 285, 248, 11588, 9889, 1440, 5682, 6384, 276, 253, 2077, 272, 248, 11588, 314, 355, 12873, 11882, 1259, 5682, 6384, 255, 15542, 253, 18387, 966, 289, 2110, 966, 255, 1639, 12784, 253, 6472, 891, 2836, 253, 6384, 285, 360, 270, 2522, 461, 693, 253, 6229, 966, 2843, 276, 253, 4805, 5157, 253, 6384, 255, 2120, 6229, 1982, 360, 476, 1747, 1485, 375, 409, 6518, 12196, 270, 6506, 880, 253, 6229, 966, 272, 3973, 8029, 285, 253, 11588, 363, 5036, 363, 277, 7729, 824, 2110, 313, 11552, 270, 2522, 461, 6369, 277, 4805, 285, 12196, 363, 253, 4805, 2241, 672, 326, 10985, 375, 253, 4805, 672, 326, 23277, 271, 433, 253, 14020, 4030, 314, 355, 3193, 2037, 4805, 20219, 341, 2346, 248, 4069, 272, 7038, 1576, 255, 17512, 255, 332, 9190, 270, 5053, 486, 20219, 2898, 730, 6222, 356, 25, 406, 3656, 5282, 270, 3737, 255, 4042, 486, 8679, 1412, 289, 582, 10317, 20764, 253, 1112, 8679, 335, 612, 2925, 7642, 314, 355, 3193, 1797, 1834, 9245, 16392, 335, 4805, 7642, 270, 3403, 4805, 8037, 255, 263, 8096, 5506, 255, 4993, 476, 1661, 6384, 345, 811, 285, 2584, 480, 4509, 314, 600, 313, 248, 1697, 272, 20823, 7087, 14020, 289, 313, 8046, 433, 783, 1697, 272, 1400, 4395, 32510, 255, 24487, 10818, 312, 255, 263, 256, 2943, 276, 5601, 285, 248, 23034, 12280, 696, 313, 1232, 23584, 3017, 433, 248, 311, 3274, 270, 34, 10005, 341, 10860, 248, 6526, 554, 3767, 697, 2572, 255, 475, 1123, 255, 864, 1281, 301, 248, 12280, 255, 15864, 248, 4112, 2846, 3557, 1844, 255, 263, 4407, 285, 1953, 30725, 377, 2377, 313, 23034, 14020, 314, 1132, 359, 871, 4930, 1964, 272, 23034, 14020, 314, 39, 11560, 335, 8125, 414, 7765, 891, 4064, 480, 1697, 272, 23034, 14020, 359, 1412, 3743, 1358, 12181, 1018, 556, 10598, 2010, 375, 8004, 285, 4064, 375, 8674, 253, 14020, 270, 39, 11560, 335, 8125, 8362, 461, 285, 6915, 11450, 255, 772, 3191, 285, 32061, 253, 23034, 311, 2419, 901, 285, 28904, 9252, 289, 14121, 453, 311, 15301, 375, 2137, 19709, 314, 39, 11560, 335, 11450, 414, 600, 1697, 272, 14020, 313, 3867, 6834, 433, 14267, 4404, 3022, 433, 248, 12476, 254, 14938, 285, 12675, 375, 2626, 13221, 272, 248, 3569, 270, 340, 12476, 254, 672, 255, 475, 1123, 255, 24487, 10818, 5775, 289, 11453, 1030, 345, 248, 12280, 2769, 375, 1189, 625, 277, 586, 325, 17496, 285, 17739, 248, 4045, 554, 586, 325, 2067, 1461, 314, 8851, 21619, 272, 23034, 14020, 314, 355, 17253, 25490, 414, 340, 905, 6918, 9183, 313, 253, 797, 67, 690, 534, 802, 1554, 2906, 3958, 2104, 270, 600, 8859, 2845, 1967, 15098, 276, 696, 253, 2137, 30711, 925, 11700, 391, 6564, 285, 253, 3569, 276, 253, 5226, 341, 1363, 253, 4701, 255, 1449, 3738, 326, 1865, 285, 2714, 276, 253, 2137, 363, 248, 300, 79, 368, 255, 332, 6619, 5360, 396, 1329, 270, 10757, 19709, 359, 4034, 7709, 341, 925, 23164, 268, 6564, 313, 2555, 705, 341, 3404, 366, 248, 1811, 7099, 10188, 409, 6915, 892, 22886, 285, 2071, 253, 2392, 272, 253, 2137, 270, 1507, 253, 2377, 272, 755, 14035, 359, 3763, 18783, 1995, 705, 345, 3533, 341, 253, 5360, 3228, 3714, 7476, 255, 344, 2137, 30711, 20894, 21955, 19091, 255, 332, 253, 797, 383, 68, 86, 391, 802, 531, 725, 366, 632, 375, 905, 272, 253, 2137, 554, 14121, 255, 6755, 675, 12962, 253, 3345, 2137, 30711, 270, 4514, 651, 353, 14158, 641, 253, 2137, 30711, 285, 3976, 6564, 285, 248, 797, 71, 4987, 2802, 7654, 802, 1229, 253, 7080, 13774, 341, 480, 11591, 253, 311, 3274, 453, 2174, 537, 3502, 314, 355, 13916, 27675, 21890, 15098, 414, 340, 14482, 23995, 2595, 2137, 19709, 891, 359, 276, 2174, 27675, 375, 448, 1608, 272, 7133, 268, 345, 556, 23034, 12280, 289, 1232, 4395, 5490, 713, 721, 31236, 640, 409, 5742, 556, 8794, 433, 27217, 253, 402, 271, 375, 10640, 253, 4045, 276, 253, 1933, 272, 277, 26240, 270, 340, 14482, 23995, 8125, 433, 14138, 253, 4045, 285, 277, 26240, 375, 16488, 12476, 254, 255, 11203, 14121, 1018, 248, 14020, 15515, 586, 26617, 255, 332, 3497, 2830, 253, 30206, 23660, 375, 15839, 8403, 433, 253, 2137, 19709, 270, 340, 2137, 19709, 359, 4034, 7709, 640, 409, 2846, 14984, 335, 448, 2082, 248, 935, 289, 837, 22406, 253, 4045, 3135, 556, 7099, 620, 838, 300, 20359, 270, 1452, 255, 344, 14482, 23995, 2515, 285, 1039, 253, 23034, 13100, 289, 2340, 253, 4045, 4623, 721, 2174, 27675, 314, 355, 24541, 260, 12993, 15098, 414, 6114, 285, 2174, 27675, 21890, 651, 4998, 255, 3470, 15098, 5185, 14482, 23995, 1581, 1533, 268, 285, 5303, 2137, 19709, 891, 359, 1852, 29396, 290, 276, 556, 23034, 13100, 289, 359, 345, 253, 2111, 367, 272, 12332, 556, 2137, 433, 11518, 285, 300, 8624, 327, 5963, 253, 2377, 272, 253, 2137, 19709, 1306, 6057, 260, 366, 253, 311, 3274, 270, 340, 651, 2272, 391, 255, 2691, 255, 9594, 332, 1539, 15839, 725, 4502, 289, 1412, 30345, 6572, 4114, 544, 2377, 335, 253, 8987, 255, 263, 582, 461, 30345, 448, 632, 270, 12632, 255, 344, 2137, 19709, 8632, 6649, 556, 8794, 314, 355, 8921, 390, 1161, 25501, 414, 1173, 26240, 672, 693, 248, 16488, 24545, 255, 21154, 5775, 6589, 255, 332, 7080, 7099, 5644, 285, 2774, 248, 23034, 12280, 276, 253, 16488, 24545, 554, 1933, 270, 4756, 31869, 285, 15948, 255, 344, 16488, 24545, 4751, 253, 4045, 806, 285, 253, 26240, 276, 248, 22830, 2980, 402, 271, 255, 822, 769, 29396, 6496, 632, 3352, 285, 253, 4045, 289, 2421, 929, 7598, 90, 285, 6564, 270, 340, 26240, 1147, 461, 1039, 818, 23034, 13100, 289, 14984, 84, 253, 4045, 2658, 2174, 27675, 3337, 1741, 2032, 3385, 2770, 314, 355, 15245, 290, 1508, 414, 340, 24545, 272, 248, 4045, 24112, 4416, 253, 1392, 9764, 453, 253, 30206, 882, 253, 1647, 86, 559, 272, 248, 1602, 15559, 24983, 1508, 23034, 270, 340, 3078, 311, 3274, 14226, 253, 12476, 254, 620, 21266, 1055, 1395, 3268, 276, 253, 1392, 9764, 255, 2446, 276, 1057, 255, 264, 313, 28844, 270, 340, 1508, 23034, 672, 461, 326, 6954, 285, 2258, 15785, 265, 800, 4469, 453, 253, 3078, 311, 3274, 314, 355, 10757, 14121, 7323, 23034, 356, 41, 3488, 46, 3321, 34, 610, 3488, 46, 313, 248, 8786, 23034, 12280, 1393, 1358, 3048, 433, 253, 11723, 610, 21686, 12853, 285, 12476, 391, 891, 359, 64, 7421, 1233, 375, 4832, 255, 920, 556, 1395, 4045, 356, 263, 476, 248, 1324, 23034, 4200, 823, 18693, 90, 253, 4045, 363, 556, 3078, 21916, 255, 332, 8702, 276, 610, 3488, 46, 20398, 270, 673, 2421, 2137, 19709, 1809, 285, 14121, 276, 556, 8794, 255, 6745, 276, 248, 24306, 2026, 9764, 270, 4141, 8417, 23995, 3353, 5115, 272, 253, 610, 3488, 46, 1705, 15667, 30296, 882, 2406, 25534, 255, 247, 20500, 4618, 27831, 255, 332, 13005, 255, 27177, 255, 67, 412, 4260, 255, 332, 14279, 254, 19650, 762, 270, 340, 651, 2272, 391, 1232, 2774, 248, 610, 3488, 46, 276, 253, 1933, 272, 253, 28538, 2137, 30711, 285, 7043, 14121, 276, 253, 8794, 721, 9252, 270, 340, 651, 2272, 391, 1927, 253, 9252, 289, 2846, 248, 15639, 285, 253, 13374, 18396, 375, 1409, 253, 2450, 1844, 637, 1808, 3988, 303, 285, 253, 13374, 18396, 270, 2828, 12280, 9764, 375, 30725, 377, 313, 2216, 2658, 253, 12476, 254, 929, 3056, 2965, 253, 3569, 363, 248, 3078, 21916, 270, 465, 253, 9183, 255, 344, 586, 21039, 888, 345, 253, 2137, 359, 31579, 4545, 483, 289, 253, 311, 3274, 1147, 461, 3839, 253, 14020, 2658, 253, 2137, 30711, 13936, 289, 253, 2987, 1461, 272, 253, 4045, 313, 5702, 314, 355, 27070, 1618, 16172, 18021, 414, 48, 1219, 391, 272, 1047, 5539, 5978, 1618, 16172, 356, 263, 1288, 10661, 345, 556, 18261, 406, 868, 880, 22886, 433, 29929, 253, 4045, 554, 586, 325, 2067, 1461, 270, 35, 450, 398, 456, 1044, 672, 326, 2966, 285, 25047, 369, 253, 3519, 554, 26578, 255, 6317, 4545, 751, 253, 1461, 363, 4507, 1018, 253, 1472, 247, 3016, 1135, 1306, 475, 4045, 29451, 270, 39, 11560, 15515, 586, 21039, 888, 10158, 311, 15301, 721, 16065, 18021, 285, 253, 10717, 270, 1130, 9252, 8771, 359, 2336, 730, 8140, 255, 344, 12476, 254, 19281, 285, 2626, 253, 4045, 289, 22718, 359, 24175, 270, 2148, 253, 720, 253, 5978, 18021, 359, 276, 7133, 255, 344, 311, 3274, 313, 1412, 2299, 366, 9365, 21229, 483, 375, 2261, 3665, 14, 1258, 5978, 4045, 270, 3278, 272, 253, 2142, 272, 4064, 1003, 23034, 14020, 341, 359, 1246, 276, 17321, 1618, 16172, 359, 652, 1309, 276, 5978, 12280, 14020, 314, 22842, 335, 15610, 516, 5524, 579, 11560, 578, 22191, 409, 326, 9512, 285, 1618, 16172, 14020, 289, 5120, 23440, 255, 2691, 255, 344, 13947, 289, 21071, 17814, 17164, 476, 838, 9866, 270, 11424, 359, 783, 1354, 9812, 4751, 272, 1618, 16172, 14020, 578, 355, 1065, 4475, 9003, 6589, 16050, 248, 3976, 272, 486, 4045, 289, 360, 476, 929, 2010, 272, 253, 11588, 1765, 355, 1065, 1822, 461, 4475, 248, 4045, 4139, 4959, 270, 600, 409, 326, 253, 965, 968, 272, 14020, 649, 332, 186, 355, 1065, 4475, 23034, 6589, 375, 9764, 4368, 335, 18021, 335, 696, 360, 2906, 3298, 314, 4861, 1200, 849, 612, 2398, 5664, 186, 6293, 10474, 254, 414, 5078, 3844, 313, 902, 289, 1829, 6348, 672, 4496, 14355, 5040, 375, 24607, 248, 1575, 2077, 272, 2913, 375, 6192, 270, 340, 1030, 7999, 13131, 313, 6035, 285, 326, 2147, 276, 2646, 363, 5086, 4496, 877, 7374, 255, 5524, 255, 5869, 397, 255, 332, 18865, 8682, 289, 3965, 672, 461, 4079, 285, 818, 1687, 3029, 270, 600, 1030, 313, 461, 6035, 285, 326, 4752, 6813, 375, 23584, 3017, 363, 248, 4752, 8003, 255, 18559, 272, 2913, 255, 15316, 268, 255, 24771, 375, 612, 3918, 3171, 270, 1065, 939, 5864, 253, 1500, 4752, 375, 3918, 30852, 28160, 276, 253, 1666, 341, 604, 11256, 285, 486, 1829, 3844, 15, 1, 32274, 255, 18799, 21690, 289, 3968, 1871, 186, 46, 3248, 42, 9139, 608, 7943, 2492, 542, 19159, 255, 54, 10248, 414, 18825, 16825, 17, 5744, 3019, 23, 11911, 3838, 406, 14157, 11459, 604, 7634, 6546, 375, 64, 22, 15, 26, 18267, 604, 3008, 6546, 255, 332, 1516, 3838, 406, 2947, 24, 10111, 604, 64, 1504, 11459, 356, 13059, 217, 20, 15, 6826, 18267, 406, 14360, 6339, 285, 3709, 2945, 17362, 285, 2353, 2945, 19786, 2945, 69, 3111, 19092, 40, 22008, 84, 255, 4756, 6579, 289, 748, 3113, 186, 40, 22008, 255, 14278, 29338, 64, 18, 64, 3716, 23, 7291, 5875, 27074, 356, 8938, 15, 17, 2644, 7982, 21621, 16, 830, 27074, 406, 1229, 1661, 8525, 272, 64, 18, 15, 3716, 23, 2736, 285, 6682, 1071, 270, 12739, 811, 1331, 272, 480, 29428, 313, 2216, 285, 10880, 248, 1661, 5667, 276, 248, 22109, 255, 373, 7473, 22109, 375, 276, 248, 16059, 10857, 32053, 375, 14065, 19769, 6339, 285, 3709, 2945, 17362, 285, 2353, 2945, 19786, 19092, 36, 2312, 85, 555, 25857, 13889, 66, 5424, 3236, 1726, 6490, 9, 10663, 20, 10, 19, 4102, 28102, 64, 23, 41, 19, 48, 2053, 25536, 84, 64, 18, 64, 25, 3200, 7291, 5875, 27074, 356, 14939, 15, 24, 2055, 3019, 21621, 16, 830, 27074, 406, 14360, 6339, 285, 3709, 2945, 17362, 285, 2353, 2945, 19786, 2945, 78, 1624, 285, 3709, 289, 2353, 2945, 14575, 289, 24678, 5370, 2945, 69, 3111, 19092, 959, 3306, 289, 26765, 762, 186, 340, 720, 4963, 543, 5572, 285, 3975, 375, 1460, 3269, 255, 332, 285, 2428, 2084, 844, 755, 5437, 919, 1114, 1822, 253, 2818, 1409, 17241, 263, 953, 1316, 1822, 253, 2818, 1672, 32, 3, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 29362, 345, 248, 15448, 1624, 453, 248, 1120, 5255, 474, 18, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 14443, 53, 1828, 254, 474, 18, 270, 340, 1619, 4335, 255, 484, 4283, 289, 1687, 16, 3988, 878, 186, 34, 1120, 5255, 255, 50, 255, 262, 953, 79, 9093, 1392, 1045, 251, 248, 2891, 270, 24469, 396, 255, 252, 8032, 542, 255, 262, 248, 11468, 1526, 10463, 5044, 345, 696, 248, 15448, 1624, 4053, 20118, 20753, 7131, 83, 1227, 255, 898, 10706, 1142, 285, 2195, 1120, 16276, 285, 253, 5089, 270, 7054, 341, 253, 3792, 2868, 345, 253, 15448, 1624, 313, 356, 247, 253, 4728, 3559, 272, 253, 15448, 1624, 6382, 7234, 20118, 92, 39, 15986, 2044, 92, 50, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 4314, 2044, 2431, 20118, 20753, 9949, 51, 63, 20, 13571, 19, 270, 3030, 12934, 4723, 186, 7234, 20118, 92, 39, 94, 5515, 1164, 20118, 20753, 4314, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 92, 38, 13571, 20, 270, 340, 3636, 448, 248, 2391, 186, 42, 4671, 433, 20595, 341, 253, 3792, 2035, 453, 253, 1120, 5255, 313, 6425, 20118, 92, 38, 15986, 2044, 92, 18, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 4314, 2044, 92, 50, 1736, 51, 63, 19, 4314, 12323, 92, 83, 28561, 9619, 3431, 255, 42, 1979, 844, 253, 2868, 939, 326, 414, 7234, 20118, 92, 39, 94, 5515, 1164, 20118, 20753, 4314, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 92, 38, 15986, 20118, 20753, 4314, 2044, 23447, 19, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 4314, 2044, 92, 50, 1736, 51, 63, 20, 15986, 2044, 23447, 50, 1736, 19, 1164, 5159, 1164, 21247, 64, 17, 4314, 2044, 2431, 20118, 20753, 9949, 51, 63, 20, 28561, 9619, 1452, 255, 347, 532, 3167, 253, 15448, 1624, 642, 363, 64, 19, 9647, 1120, 12217, 255, 12, 82, 289, 1926, 82, 255, 42, 1200, 341, 253, 1857, 2868, 939, 1120, 276, 253, 3559, 363, 253, 15448, 1624, 255, 1297, 6048, 253, 3559, 272, 253, 15448, 1624, 356, 292, 1249, 3750, 1861, 916, 2122, 8166, 5324, 476, 532, 1905, 889, 2549, 19, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 14443, 53, 1828, 254, 474, 15680, 1246, 341, 532, 409, 4105, 253, 2428, 1018, 253, 3421, 335, 15855, 255, 4968, 20118, 1164, 85, 659, 6585, 20118, 267, 1164, 7861, 1164, 20118, 516, 580, 22938, 20118, 267, 2945, 22938, 20118, 516, 9782, 356, 7818, 12323, 2431, 12285, 15847, 7438, 332, 341, 1069, 22938, 20118, 579, 9782, 6585, 2044, 92, 22938, 20118, 1164, 85, 659, 9782, 1736, 51, 28561, 5647, 3522, 255, 7234, 20118, 579, 6585, 2044, 92, 22938, 20118, 267, 2945, 22938, 20118, 516, 9782, 1736, 51, 4314, 12323, 20753, 15986, 2044, 2431, 20118, 267, 9782, 61, 20118, 516, 9782, 1736, 51, 15986, 2044, 92, 50, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 4314, 2044, 2431, 20118, 267, 1736, 51, 63, 20, 28561, 9619, 4766, 2077, 255, 8601, 2576, 253, 18240, 10489, 341, 4053, 20118, 579, 1635, 262, 276, 253, 4053, 20118, 267, 1635, 27041, 270, 1452, 255, 344, 1619, 3276, 341, 532, 939, 693, 253, 3102, 4053, 20118, 92, 39, 94, 5515, 1164, 20118, 20753, 4314, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 92, 38, 7131, 864, 1223, 1249, 943, 356, 292, 10408, 285, 1018, 253, 14407, 1135, 272, 29929, 253, 15855, 255, 16081, 8166, 7833, 16041, 414, 11197, 64, 3841, 255, 993, 20, 186, 20, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 14443, 53, 1828, 254, 474, 42, 652, 12104, 341, 276, 1249, 3634, 3636, 448, 248, 2391, 255, 1554, 532, 543, 3353, 253, 12319, 272, 516, 363, 10408, 285, 253, 26251, 272, 4053, 20118, 516, 8694, 1611, 255, 9951, 253, 26251, 3815, 585, 6425, 20118, 579, 356, 83, 18217, 20118, 267, 1164, 2044, 92, 18, 1736, 83, 63, 19, 4314, 2044, 2431, 10819, 436, 63, 19, 516, 5839, 10819, 436, 15986, 2044, 2431, 20118, 267, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 19, 436, 63, 19, 4314, 2044, 2431, 10819, 436, 63, 19, 5839, 10819, 436, 15986, 2044, 2431, 20118, 267, 64, 19, 436, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 19, 436, 63, 19, 15986, 2044, 2431, 20118, 267, 1736, 19, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 19, 436, 13571, 11981, 14403, 448, 436, 30, 51, 255, 7234, 20118, 579, 6585, 2044, 2431, 20118, 267, 1736, 19, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 20, 21426, 5018, 822, 313, 276, 253, 1500, 3559, 1657, 255, 772, 1804, 1042, 433, 248, 3038, 272, 64, 19, 10965, 21, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 27008, 648, 474, 5559, 2762, 253, 21756, 272, 253, 400, 12226, 6055, 4804, 10661, 345, 253, 15448, 1624, 255, 26722, 396, 871, 6048, 1120, 12217, 284, 3264, 7425, 909, 27008, 648, 474, 8160, 9403, 3814, 30367, 1942, 1577, 29333, 69, 577, 1624, 15585, 19508, 186, 13762, 2091, 578, 728, 15, 25, 29328, 186, 20653, 578, 6662, 186, 22, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 10556, 853, 3790, 474, 42, 2128, 341, 299, 73, 648, 4808, 253, 17518, 2023, 335, 480, 1619, 270, 1507, 4399, 341, 1018, 400, 12226, 6055, 709, 2052, 360, 409, 1140, 253, 2868, 914, 335, 253, 1576, 276, 696, 253, 15448, 1624, 313, 276, 480, 1661, 1120, 272, 1932, 270, 859, 360, 1700, 253, 15448, 1624, 276, 1750, 1741, 1232, 360, 1349, 4079, 400, 12226, 6055, 709, 2052, 1562, 285, 1140, 253, 892, 2868, 909, 859, 360, 693, 253, 3102, 360, 2322, 360, 409, 1140, 253, 2147, 3102, 335, 253, 2868, 356, 475, 818, 1120, 795, 1507, 396, 313, 461, 2443, 285, 1140, 4053, 4984, 2431, 79, 378, 6602, 1164, 9177, 1164, 11092, 92, 38, 2713, 8694, 340, 9637, 313, 461, 4053, 4984, 2431, 79, 378, 6602, 1164, 9177, 64, 7131, 772, 4053, 4984, 2431, 11092, 20753, 4314, 9177, 1164, 79, 378, 6602, 23257, 1611, 360, 1349, 1140, 4053, 4984, 2431, 11092, 20753, 4314, 9177, 1164, 79, 378, 6602, 7131, 5886, 909, 23, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 14443, 53, 1828, 254, 474, 33, 10556, 853, 289, 299, 73, 648, 414, 42, 939, 476, 8140, 276, 1249, 25144, 13117, 341, 253, 1619, 7650, 585, 285, 693, 253, 3102, 4053, 20118, 579, 5515, 61, 20118, 267, 1164, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 516, 14228, 42, 1200, 1224, 1249, 3750, 3894, 543, 255, 772, 861, 532, 2128, 697, 396, 341, 1119, 255, 264, 4224, 341, 4053, 20118, 267, 1164, 9177, 1164, 79, 378, 6602, 1635, 262, 248, 20954, 255, 6317, 253, 2868, 558, 1120, 276, 253, 3559, 272, 4053, 20118, 516, 7438, 822, 313, 276, 253, 4053, 12323, 92, 83, 7131, 27041, 255, 822, 313, 10985, 10965, 3300, 4053, 20118, 267, 580, 81, 1164, 12323, 2431, 7806, 14904, 81, 1164, 7806, 7438, 1660, 1069, 81, 436, 580, 81, 1164, 12285, 580, 17, 1635, 332, 27, 7234, 20118, 267, 1164, 9177, 1164, 79, 378, 6602, 6585, 2044, 92, 18, 1736, 83, 1164, 5248, 1164, 7806, 4314, 2044, 2431, 10819, 5839, 10819, 1164, 7806, 31896, 81, 1164, 5248, 1164, 7806, 18217, 2044, 20753, 1736, 83, 1164, 5248, 1164, 7806, 4314, 2044, 2431, 10819, 5839, 10819, 1164, 7806, 94, 23770, 5248, 1164, 7806, 4264, 9619, 3136, 255, 7234, 20118, 579, 5515, 1164, 20118, 267, 1164, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 516, 6585, 2044, 20753, 1736, 83, 1164, 5248, 1164, 7806, 4314, 2044, 2431, 10819, 23770, 2044, 92, 50, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 19, 4314, 12323, 92, 83, 4314, 5248, 1164, 7806, 10, 5839, 10819, 1164, 7806, 15986, 2044, 23447, 81, 1899, 1164, 3125, 1164, 7806, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 20, 1164, 5248, 1164, 7806, 4314, 12323, 92, 83, 94, 17759, 2044, 23447, 81, 1899, 1164, 26266, 1164, 7806, 1736, 21, 1164, 5159, 1164, 21247, 64, 17, 542, 63, 20, 4314, 12323, 92, 83, 28561, 9619, 11864, 1249, 3636, 4133, 2501, 649, 8601, 461, 2901, 2452, 1224, 18529, 4395, 4587, 5941, 909, 9, 12506, 414, 42, 1246, 783, 14629, 555, 3421, 345, 269, 10877, 335, 1069, 6102, 20118, 416, 1164, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 538, 8694, 6131, 255, 2446, 532, 2587, 396, 1018, 1069, 81, 436, 580, 81, 1164, 12285, 580, 38, 1164, 7806, 580, 38, 1164, 12285, 580, 17, 1635, 332, 1069, 38, 436, 580, 71, 17068, 10, 7438, 90, 3391, 253, 2343, 3421, 6425, 2044, 20753, 1164, 7806, 516, 436, 1736, 83, 4314, 12323, 2431, 7806, 21426, 5018, 822, 3815, 585, 253, 2428, 10886, 3851, 335, 270, 3639, 24868, 799, 532, 2415, 285, 13117, 1140, 18492, 1164, 20118, 267, 1164, 9177, 1164, 79, 378, 6602, 5165, 61, 20118, 516, 7438, 8601, 2576, 783, 3750, 3894, 2712, 253, 1119, 3936, 1613, 7833, 16041, 414, 11197, 64, 3841, 255, 993, 20, 186, 24, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 27008, 648, 474, 25, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 535, 66, 474, 27375, 516, 1098, 11240, 186, 340, 4013, 272, 253, 16285, 409, 1783, 253, 3559, 285, 1440, 255, 549, 360, 6989, 7159, 253, 2868, 558, 1120, 276, 253, 1112, 3559, 363, 4053, 11092, 92, 38, 31518, 5324, 1822, 253, 1069, 81, 61, 5248, 22717, 1635, 3016, 453, 911, 3737, 255, 4084, 3421, 335, 253, 12319, 276, 18933, 10071, 4961, 285, 326, 4708, 270, 1099, 17407, 359, 360, 1387, 2677, 262, 4053, 7806, 1635, 344, 4276, 453, 253, 1888, 13281, 375, 313, 396, 9673, 285, 326, 253, 25731, 317, 4216, 265, 4276, 2549, 26, 270, 11197, 64, 3841, 255, 993, 20, 474, 1984, 27008, 648, 474, 22012, 285, 693, 7465, 10071, 276, 6175, 909, 7234, 11092, 579, 16363, 61, 11092, 267, 1164, 9177, 1164, 79, 378, 6602, 10984, 11092, 516, 509, 81, 436, 1164, 2044, 2431, 10819, 1164, 11092, 516, 5839, 10819, 436, 13418, 81, 9345, 7806, 3069, 2044, 92, 18, 1736, 83, 3069, 2044, 2431, 10819, 1164, 11092, 516, 5839, 10819, 1164, 7806, 13571, 465, 253, 1619, 255, 4968, 11092, 516, 580, 38, 17068, 10984, 12323, 436, 1635, 332, 4053, 11092, 267, 580, 81, 1164, 12323, 1164, 7806, 5647, 1065, 476, 285, 4399, 341, 4053, 12323, 436, 1635, 9994, 1929, 345, 17246, 255, 332, 474, 7234, 10819, 1164, 12323, 436, 5646, 92, 1164, 10819, 1164, 7806, 15986, 12323, 1164, 7806, 9619, 7234, 11092, 579, 16363, 61, 11092, 267, 1164, 9177, 1164, 79, 378, 6602, 10984, 11092, 516, 509, 81, 20337, 92, 18, 1736, 83, 94, 38, 17068, 10984, 2044, 2431, 10819, 1164, 12323, 436, 5839, 10819, 1164, 7806, 13571, 27008, 648, 1, 9369, 4672, 356, 8644, 15408, 3321, 609, 910, 1486, 421, 23534, 466, 940, 23064, 8180, 669, 10785, 1198, 466, 4781, 10772, 684, 19817, 9688, 466, 3467, 16773, 520, 7391, 576, 23150, 520, 29016, 466, 12783, 19305, 588, 2184, 429, 439, 13004, 2224, 419, 26351, 9688, 466, 9521, 9773, 64, 2583, 9076, 421, 29474, 1008, 8180, 1931, 496, 698, 15649, 337, 1445, 429, 961, 28438, 546, 4672, 466, 64, 21656, 15, 2661, 8361, 30479, 836, 2824, 23150, 692, 9773, 64, 11759, 1151, 7373, 5730, 1279, 64, 19, 2661, 13, 26624, 7373, 7871, 64, 6486, 10972, 5537, 1307, 1445, 2311, 13356, 4913, 421, 1793, 4244, 2310, 9773, 429, 439, 8453, 3362, 64, 21656, 15, 2153, 8361, 30479, 836, 2824, 23150, 692, 19066, 940, 9291, 16848, 1287, 5730, 1279, 64, 19, 2661, 13, 19, 2153, 17, 7373, 5537, 1307, 1445, 439, 468, 829, 4902, 466, 3626, 13839, 23150, 520, 29016, 466, 64, 6486, 17, 17, 7373, 7871, 64, 6486, 10972, 520, 19305, 588, 9607, 429, 255, 19926, 4902, 4913, 466, 9521, 9773, 64, 10472, 13, 26624, 7373, 7871, 64, 6486, 10972, 1561, 961, 28438, 546, 4672, 2224, 419, 26351, 9688, 466, 8928, 23150, 520, 29016, 466, 19305, 1193, 4781, 255, 18425, 24562, 2590, 421, 9773, 466, 940, 24342, 296, 10023, 3987, 2297, 255, 638, 763, 2590, 692, 19066, 64, 12854, 7373, 5730, 1279, 64, 32095, 13, 3177, 28110, 7373, 7871, 14087, 5537, 1307, 1445, 439, 638, 763, 2590, 421, 343, 17572, 493, 520, 6968, 466, 1669, 7070, 64, 15852, 1151, 7373, 520, 19305, 9230, 546, 8275, 255, 998, 1014, 19335, 421, 1037, 343, 17572, 493, 692, 9773, 64, 21650, 13, 17779, 7373, 684, 14803, 16805, 421, 1037, 64, 3177, 1218, 13, 17779, 7871, 64, 15852, 343, 17572, 280, 5537, 1307, 1445, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3013, 849, 1524, 6204, 1349, 326, 300, 2588, 1111, 271, 186, 2492, 9771, 15486, 13818, 2945, 1639, 16565, 9315, 80, 186, 5359, 260, 8460, 8057, 4153, 313, 9043, 13148, 272, 28814, 10951, 4769, 12989, 255, 66, 7427, 272, 28814, 10951, 255, 8793, 1353, 66, 2985, 9694, 813, 789, 3344, 12452, 3159, 289, 7259, 6204, 335, 10748, 289, 4988, 5703, 270, 5359, 260, 620, 838, 3437, 276, 1251, 289, 1480, 272, 892, 2356, 3645, 3483, 3568, 8284, 4764, 255, 2809, 3572, 3406, 18142, 255, 332, 17781, 255, 475, 14737, 289, 612, 1524, 6204, 270, 1682, 620, 596, 730, 64, 643, 1233, 272, 2002, 276, 1265, 255, 17462, 255, 9464, 1480, 255, 332, 8298, 25044, 3275, 14802, 6204, 1349, 326, 300, 2588, 1111, 271, 2106, 249, 3992, 270, 465, 480, 6534, 255, 249, 7783, 2096, 314, 55, 13056, 414, 959, 4482, 248, 2814, 697, 2325, 22799, 2356, 270, 2927, 554, 4482, 248, 2483, 596, 18041, 697, 4383, 64, 2510, 303, 3227, 1524, 6204, 255, 13502, 360, 2384, 986, 276, 270, 19077, 1636, 276, 304, 16780, 276, 1319, 5412, 28552, 1964, 270, 3013, 313, 396, 1156, 285, 1999, 253, 3635, 1524, 1632, 879, 5359, 260, 414, 340, 1889, 276, 2356, 2847, 359, 248, 5010, 28814, 10951, 620, 6281, 335, 1233, 270, 959, 359, 9748, 276, 1967, 1996, 366, 4225, 448, 632, 1943, 255, 2236, 21080, 882, 1833, 23000, 255, 8847, 10301, 10837, 448, 867, 289, 3678, 1265, 4797, 255, 9464, 3303, 289, 3043, 270, 959, 2539, 2779, 285, 1603, 21112, 1255, 1600, 255, 3928, 2319, 289, 1524, 255, 8816, 366, 3526, 255, 6351, 289, 19753, 285, 1879, 892, 255, 247, 27485, 255, 3572, 1524, 7013, 270, 3651, 632, 2063, 272, 7013, 409, 326, 785, 335, 1524, 255, 264, 554, 1156, 285, 1999, 1255, 9662, 289, 1039, 1350, 20664, 4847, 255, 1901, 13623, 1703, 255, 5869, 270, 9162, 313, 904, 4955, 799, 1932, 255, 21574, 2142, 289, 2325, 2404, 2307, 285, 6165, 8432, 3101, 255, 2809, 2092, 289, 8284, 255, 13453, 272, 2572, 375, 461, 341, 554, 276, 248, 1324, 1603, 6024, 276, 8904, 4207, 375, 248, 1402, 272, 253, 2247, 12096, 13623, 276, 4207, 270, 3737, 15041, 272, 2572, 253, 1932, 313, 892, 375, 2218, 255, 9204, 375, 1324, 255, 344, 1932, 2129, 285, 870, 1172, 6435, 366, 253, 1030, 270, 1316, 1172, 359, 12998, 7621, 255, 822, 536, 1200, 248, 2814, 276, 253, 3828, 4313, 9405, 12825, 3810, 482, 751, 255, 264, 313, 10716, 335, 713, 285, 10244, 253, 1030, 1285, 4230, 270, 16093, 255, 2446, 3128, 366, 3546, 1524, 276, 2605, 255, 2251, 6002, 8277, 314, 55, 13056, 414, 1099, 2434, 335, 277, 2379, 255, 250, 1234, 268, 289, 29183, 1524, 1632, 1019, 2752, 359, 253, 1774, 3041, 255, 30008, 255, 3244, 10524, 272, 650, 1019, 2752, 939, 277, 21630, 2371, 345, 1055, 375, 1408, 26234, 879, 5359, 260, 414, 6309, 253, 24494, 2202, 272, 253, 4717, 255, 15615, 289, 2333, 1932, 1349, 326, 6615, 285, 1360, 253, 16236, 397, 448, 867, 276, 253, 4717, 285, 1879, 248, 596, 3546, 289, 9171, 2002, 335, 21817, 289, 1172, 270, 30290, 23995, 939, 1900, 448, 253, 2889, 6569, 363, 248, 1810, 335, 1524, 270, 6187, 5115, 272, 892, 3604, 289, 1418, 6881, 272, 3390, 335, 253, 15402, 255, 4047, 7831, 253, 797, 15270, 272, 253, 4179, 802, 332, 1020, 363, 335, 1172, 270, 9282, 268, 285, 1360, 4392, 3663, 10796, 255, 475, 7554, 289, 335, 3568, 289, 2333, 1809, 359, 632, 2192, 285, 1879, 248, 1811, 1524, 1632, 270, 340, 4717, 15138, 2129, 642, 272, 253, 3761, 3728, 255, 332, 799, 10161, 882, 253, 8137, 272, 480, 892, 1524, 6569, 255, 344, 4717, 875, 68, 1929, 253, 3761, 289, 3714, 248, 1331, 596, 2379, 1524, 1632, 314, 55, 13056, 414, 465, 1590, 272, 7780, 255, 3674, 27292, 4620, 255, 29029, 3358, 289, 705, 345, 1019, 2752, 359, 783, 272, 253, 5562, 11793, 276, 11508, 253, 1250, 3351, 335, 248, 3159, 1076, 1603, 1524, 1632, 879, 5359, 260, 414, 2447, 536, 4238, 2867, 2325, 14896, 289, 31759, 276, 14737, 255, 344, 2333, 1932, 7737, 755, 4764, 31009, 1197, 5205, 270, 9162, 6204, 939, 326, 8552, 255, 6985, 1172, 289, 21817, 285, 1809, 253, 2325, 276, 253, 4179, 270, 5359, 751, 289, 749, 756, 3645, 939, 16273, 253, 2957, 1172, 3971, 285, 1247, 2847, 255, 332, 9406, 640, 1560, 3971, 285, 1247, 21159, 433, 4558, 248, 1539, 2512, 867, 2005, 335, 2593, 4764, 289, 1809, 285, 1323, 270, 23245, 27, 2051, 1971, 543, 3128, 335, 248, 797, 21550, 4310, 289, 3622, 802, 22651, 270, 340, 2325, 313, 4595, 721, 253, 3604, 7019, 289, 16611, 8284, 270, 258, 80, 15436, 248, 11753, 3406, 4260, 255, 19440, 263, 255, 332, 2104, 366, 818, 2997, 255, 264, 409, 652, 2518, 326, 6424, 375, 14465, 270, 9772, 27970, 272, 867, 359, 3353, 1741, 289, 396, 554, 1156, 285, 1999, 253, 1943, 272, 5803, 289, 2571, 17658, 314, 55, 13056, 414, 919, 1147, 1524, 1763, 1409, 1741, 255, 247, 486, 8003, 255, 263, 453, 486, 7932, 272, 904, 2901, 1147, 867, 879, 5359, 260, 414, 959, 4238, 3694, 341, 930, 2880, 872, 2119, 9958, 289, 17781, 366, 3562, 12543, 14881, 457, 5327, 2370, 1172, 255, 247, 3953, 626, 289, 2143, 649, 247, 1057, 253, 1632, 409, 326, 248, 10165, 363, 1331, 363, 248, 5401, 1348, 270, 340, 5405, 272, 14737, 276, 693, 2847, 724, 4595, 335, 3828, 2859, 1078, 9656, 1503, 350, 1743, 255, 24626, 9656, 2748, 386, 258, 802, 6364, 11897, 397, 276, 248, 12998, 1524, 4712, 270, 16241, 1809, 313, 3593, 4043, 453, 4717, 285, 4717, 289, 1412, 13915, 6615, 270, 465, 3953, 626, 289, 1172, 2524, 3224, 17294, 2325, 1694, 8723, 4595, 2588, 375, 17505, 31734, 1360, 1619, 2566, 16236, 397, 289, 4465, 8604, 1524, 270, 15006, 1214, 10159, 255, 10104, 2424, 289, 12096, 10796, 359, 3401, 272, 902, 4717, 2142, 341, 849, 3645, 359, 3128, 1591, 270, 9162, 1763, 3337, 1741, 276, 7013, 341, 409, 3224, 8961, 1625, 345, 3663, 4668, 289, 1524, 11365, 314, 55, 13056, 414, 3429, 360, 1120, 285, 818, 12197, 1996, 697, 1524, 6204, 15257, 253, 1943, 272, 1524, 879, 5359, 260, 414, 42, 409, 2128, 272, 277, 1123, 1224, 248, 2028, 8751, 300, 3508, 483, 248, 64, 18, 13, 7748, 1542, 82, 17569, 830, 270, 69, 410, 16366, 12096, 13623, 721, 904, 536, 1282, 248, 23151, 17664, 335, 556, 8965, 1705, 270, 340, 4179, 1657, 22519, 64, 7033, 945, 448, 5801, 7019, 289, 6424, 3941, 32471, 705, 1172, 409, 867, 2307, 3224, 270, 14828, 626, 255, 12575, 14165, 255, 332, 18969, 452, 6528, 1360, 248, 892, 255, 2750, 8946, 5940, 270, 2056, 929, 4502, 3872, 255, 247, 3953, 626, 1700, 1591, 289, 479, 1098, 316, 3068, 276, 253, 1524, 1632, 366, 253, 1172, 255, 3255, 1817, 11400, 80, 2837, 285, 1811, 1290, 2970, 6432, 375, 9202, 248, 3719, 10551, 2090, 453, 248, 28423, 3761, 289, 248, 29321, 270, 52, 2573, 359, 1657, 4465, 8604, 255, 3542, 1054, 1926, 1178, 3015, 5187, 341, 476, 4245, 1020, 366, 1172, 270, 919, 1020, 911, 29211, 620, 248, 991, 4837, 534, 2087, 3510, 285, 612, 5740, 255, 772, 12984, 313, 725, 6171, 64, 22, 1186, 332, 4936, 2274, 313, 725, 64, 20, 14, 21, 17113, 55, 13056, 414, 465, 486, 3344, 4411, 360, 3427, 285, 480, 1019, 549, 904, 4742, 313, 248, 797, 84, 3392, 368, 255, 3572, 1524, 1932, 616, 879, 5359, 260, 414, 1132, 554, 248, 892, 5085, 272, 1172, 366, 902, 4400, 289, 8994, 730, 1288, 272, 556, 3685, 270, 1245, 2539, 6231, 16797, 289, 9168, 366, 2325, 289, 3867, 4537, 277, 4771, 272, 2325, 366, 713, 270, 28230, 315, 5040, 2325, 16896, 4652, 892, 4668, 285, 1524, 289, 5587, 270, 3295, 7751, 1076, 2143, 285, 8946, 4764, 255, 13943, 1412, 11895, 253, 8195, 25319, 693, 272, 2325, 270, 2058, 253, 1112, 720, 255, 19453, 16236, 397, 359, 1285, 7728, 448, 1255, 1115, 272, 2356, 270, 3278, 10837, 359, 17866, 1537, 248, 596, 3546, 289, 20023, 389, 5215, 272, 5587, 255, 1178, 2197, 366, 1172, 255, 286, 346, 2197, 2325, 289, 11768, 596, 289, 10934, 4841, 3671, 270, 13088, 315, 3128, 289, 9694, 1597, 255, 7290, 1932, 409, 1409, 5115, 272, 253, 4612, 6834, 433, 32254, 1440, 270, 2318, 554, 904, 3546, 1524, 313, 632, 697, 270, 673, 554, 253, 2451, 8950, 272, 1932, 255, 15615, 289, 28670, 314, 55, 13056, 414, 1130, 360, 1015, 6999, 5462, 453, 10837, 255, 2752, 4659, 272, 2018, 359, 360, 7752, 879, 5359, 260, 414, 959, 1012, 248, 2814, 272, 1825, 5462, 453, 10837, 289, 1172, 270, 673, 554, 16229, 315, 2451, 270, 959, 6761, 905, 341, 3546, 1524, 6204, 2022, 5370, 289, 1939, 289, 8674, 1214, 8277, 270, 959, 6761, 341, 755, 892, 3645, 1039, 396, 3077, 285, 1700, 276, 289, 642, 272, 902, 1524, 10796, 255, 332, 341, 640, 2022, 253, 3635, 4717, 2002, 255, 822, 255, 247, 253, 1275, 255, 262, 904, 2901, 9308, 270, 859, 1172, 289, 3526, 1900, 4728, 285, 1285, 276, 253, 4717, 255, 1554, 554, 2779, 285, 1223, 276, 253, 2260, 272, 1524, 341, 4955, 276, 1288, 6204, 314, 55, 13056, 414, 1099, 313, 253, 4745, 2677, 263, 904, 359, 253, 7668, 2677, 292, 536, 1700, 4728, 879, 5359, 260, 414, 3091, 730, 1464, 24792, 16771, 272, 5187, 1540, 1247, 10159, 289, 6171, 64, 2157, 2479, 272, 632, 5187, 1540, 1324, 1214, 1524, 255, 332, 1288, 23154, 359, 12663, 285, 1334, 270, 32394, 16236, 397, 1267, 1524, 7013, 1224, 5212, 409, 1200, 253, 2143, 289, 1200, 289, 5879, 366, 2165, 270, 5078, 13249, 409, 289, 939, 326, 253, 1763, 13249, 276, 253, 4179, 270, 1696, 396, 554, 461, 1215, 11341, 891, 359, 3663, 270, 1130, 596, 4225, 7740, 4041, 24889, 3663, 16236, 397, 255, 344, 797, 84, 487, 345, 253, 3872, 802, 262, 6555, 1119, 285, 253, 797, 23613, 345, 253, 2097, 2930, 340, 4717, 2129, 285, 1360, 21817, 4467, 2370, 8413, 285, 1552, 1618, 5776, 5462, 255, 594, 7793, 255, 27041, 289, 285, 1360, 1172, 276, 9835, 3665, 2411, 20870, 1524, 270, 42, 2128, 536, 3738, 1200, 253, 1932, 255, 71, 918, 10251, 289, 2325, 596, 3224, 28123, 285, 253, 16236, 397, 289, 1524, 11365, 272, 973, 1925, 289, 253, 4717, 4881, 7737, 811, 21817, 5304, 289, 1172, 1636, 270, 2318, 554, 1224, 2379, 14737, 359, 29255, 314, 55, 13056, 9315, 80, 8868, 253, 3327, 272, 64, 2510, 303, 14345, 2356, 7267, 270, 5390, 486, 3327, 7709, 882, 1576, 1996, 255, 10129, 6439, 289, 612, 2500, 360, 409, 3412, 448, 5263, 2838, 289, 345, 486, 4259, 270, 7268, 285, 414, 21665, 13549, 8713, 4649, 1, 371, 5726, 415, 7373, 4289, 5909, 511, 14042, 492, 28249, 2591, 404, 801, 7017, 4897, 16720, 6823, 421, 18710, 2618, 18669, 492, 10552, 899, 1243, 3383, 14657, 24035, 421, 4289, 5909, 511, 466, 15114, 4844, 15416, 27962, 520, 9220, 466, 2771, 2181, 1092, 64, 4066, 7373, 520, 3771, 28375, 593, 1051, 348, 5726, 415, 7373, 1471, 421, 13645, 546, 7420, 5994, 348, 5253, 2704, 3742, 1674, 331, 702, 23258, 1272, 2454, 429, 4632, 1163, 3362, 492, 10552, 899, 1243, 3383, 14657, 3999, 546, 3626, 2771, 2181, 1092, 2715, 348, 5726, 415, 7373, 4289, 5909, 511, 14042, 4632, 3990, 5909, 511, 466, 520, 2184, 15568, 64, 18, 13611, 64, 2478, 17, 576, 26742, 362, 2099, 7671, 4632, 26947, 2864, 3279, 703, 809, 9427, 1108, 6823, 421, 18710, 15323, 493, 466, 28537, 2824, 25357, 421, 1037, 16720, 10099, 1371, 421, 1037, 2618, 18669, 16839, 492, 10552, 899, 1243, 3383, 14657, 3999, 546, 2771, 2181, 1092, 1051, 348, 5726, 415, 3419, 1243, 4289, 5909, 511, 5038, 692, 28841, 429, 439, 2678, 4289, 5909, 511, 4360, 466, 64, 728, 27845, 421, 1037, 1272, 511, 3807, 429, 439, 8251, 7176, 2864, 64, 2157, 8361, 684, 4844, 2864, 64, 2055, 8361, 692, 498, 17456, 6407, 7746, 429, 255, 3172, 4844, 2864, 3279, 2100, 31128, 421, 440, 5224, 508, 1002, 22703, 3947, 8981, 15114, 64, 4066, 7373, 4289, 5909, 511, 466, 23178, 1279, 16619, 588, 2297, 429, 1108, 9220, 466, 3626, 64, 4066, 7373, 11190, 243, 111, 15114, 15568, 593, 8017, 64, 1504, 17, 2910, 874, 593, 1976, 1445, 429, 439, 1163, 3362, 492, 10552, 899, 1243, 3383, 14657, 24035, 546, 3626, 64, 971, 17, 7373, 2771, 2181, 1092, 4289, 5909, 511, 14042, 439, 14751, 702, 492, 10552, 899, 1243, 3383, 14657, 3999, 421, 4289, 5909, 511, 466, 64, 4066, 7373, 520, 15568, 546, 3316, 16025, 8981, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 600, 281, 27033, 267, 25181, 11396, 285, 253, 965, 375, 1508, 3227, 530, 289, 26976, 248, 1214, 272, 14101, 276, 2518, 277, 4996, 375, 10878, 432, 9723, 270, 5554, 637, 347, 13369, 359, 3593, 23815, 1076, 270, 340, 2589, 335, 253, 8392, 272, 7518, 14101, 1306, 85, 445, 752, 313, 22114, 7461, 255, 772, 5190, 341, 276, 905, 6059, 755, 724, 3406, 255, 263, 1042, 30482, 363, 2282, 1868, 270, 1845, 29594, 12986, 186, 15090, 17142, 8365, 248, 2028, 657, 3442, 14418, 554, 2183, 255, 11203, 289, 7611, 277, 16190, 696, 6619, 3583, 1331, 272, 2817, 255, 344, 31749, 8114, 289, 4798, 5526, 314, 2148, 4952, 270, 3365, 9915, 12233, 84, 17618, 186, 27326, 610, 6132, 992, 289, 6733, 535, 386, 186, 15090, 17142, 8365, 248, 2028, 657, 3442, 14418, 554, 2183, 255, 11203, 289, 7611, 277, 16190, 696, 6619, 3583, 1331, 272, 2817, 255, 344, 31749, 8114, 289, 4798, 5526, 270, 15090, 289, 9407, 724, 276, 16502, 1995, 5701, 448, 14418, 255, 332, 253, 1250, 285, 3649, 1323, 276, 805, 407, 8025, 543, 14916, 433, 253, 20864, 285, 1552, 4635, 7813, 276, 2513, 270, 340, 8904, 2285, 7440, 1348, 255, 2236, 696, 536, 15171, 1472, 388, 16283, 6495, 10461, 2147, 255, 332, 1350, 253, 2082, 6376, 272, 780, 457, 626, 8387, 271, 253, 21944, 430, 25079, 5988, 433, 556, 30111, 270, 340, 24644, 272, 7518, 14101, 285, 5685, 973, 612, 1509, 1575, 253, 9540, 272, 5075, 15965, 341, 3318, 253, 13542, 272, 253, 30050, 746, 272, 2933, 276, 253, 965, 3227, 17153, 6494, 289, 23741, 253, 28294, 272, 15305, 1323, 276, 253, 3704, 3227, 530, 270, 465, 20452, 272, 253, 3769, 272, 21232, 255, 24960, 3457, 9907, 4183, 7607, 1572, 2574, 282, 1076, 270, 340, 18396, 23196, 646, 255, 7307, 529, 1192, 453, 253, 4045, 7409, 12601, 642, 272, 13361, 285, 253, 1402, 289, 461, 335, 2846, 375, 17615, 90, 255, 3028, 8452, 433, 248, 3918, 12701, 7906, 7095, 453, 253, 771, 413, 303, 2711, 276, 3457, 270, 2148, 253, 1508, 3227, 530, 914, 248, 8609, 14987, 272, 14101, 255, 2919, 276, 253, 18396, 2088, 454, 255, 7874, 838, 6757, 276, 15021, 270, 974, 248, 1894, 253, 16389, 1348, 430, 289, 1029, 408, 9915, 18914, 255, 3255, 7738, 253, 13374, 23336, 363, 657, 272, 248, 7716, 3483, 1213, 5075, 289, 6376, 10393, 255, 14119, 248, 2804, 877, 253, 12701, 289, 253, 1846, 272, 3457, 255, 772, 480, 543, 7607, 482, 301, 889, 276, 253, 3704, 3227, 270, 2631, 480, 1213, 18914, 289, 2616, 724, 7716, 14101, 366, 29504, 5261, 4930, 453, 253, 4143, 272, 5075, 2538, 276, 253, 26090, 314, 24960, 2088, 274, 3026, 2346, 253, 8379, 17171, 30185, 356, 5953, 32620, 406, 893, 255, 247, 277, 4211, 345, 248, 525, 407, 992, 1066, 251, 533, 954, 270, 5554, 1114, 16059, 470, 3391, 724, 6788, 11113, 285, 831, 248, 5695, 10543, 1861, 556, 11237, 270, 7229, 253, 3974, 9078, 4468, 3018, 724, 6410, 272, 10642, 8341, 248, 1020, 14, 9563, 17171, 30185, 289, 536, 6761, 272, 650, 11263, 1224, 253, 10872, 391, 285, 403, 1144, 248, 6391, 3072, 547, 490, 806, 253, 3658, 285, 2331, 2417, 253, 10543, 272, 470, 3391, 314, 24960, 21232, 543, 8046, 433, 1825, 9453, 26250, 289, 253, 7518, 19258, 272, 19622, 543, 769, 290, 1526, 270, 53, 407, 11240, 2434, 248, 3968, 271, 32617, 2513, 9589, 2980, 341, 253, 22804, 1472, 9960, 248, 749, 22477, 255, 332, 1282, 396, 7313, 8034, 340, 22804, 1168, 248, 25009, 14295, 12158, 3724, 448, 10495, 390, 289, 2275, 407, 250, 341, 10161, 3763, 818, 718, 363, 1215, 15507, 861, 396, 299, 842, 253, 2152, 285, 19622, 270, 340, 7518, 257, 666, 272, 248, 4744, 696, 1168, 9256, 285, 925, 23164, 1485, 253, 965, 5121, 268, 14, 851, 24575, 253, 3658, 543, 24964, 1509, 586, 11794, 285, 23662, 3837, 12498, 270, 51, 2351, 512, 454, 276, 1829, 724, 27086, 366, 1825, 26298, 1150, 289, 5392, 3437, 253, 2275, 3739, 68, 347, 1203, 274, 272, 28489, 375, 556, 14646, 9998, 345, 253, 6664, 272, 253, 29611, 270, 1507, 2215, 253, 3450, 944, 4436, 289, 9453, 26250, 272, 7518, 15965, 1349, 326, 1031, 556, 1412, 24210, 1528, 270, 340, 22804, 1573, 1192, 453, 1021, 272, 556, 15965, 255, 2470, 276, 253, 1784, 272, 32117, 255, 772, 556, 2513, 2576, 543, 2906, 16434, 2019, 1923, 270, 5759, 19840, 16737, 724, 7408, 721, 847, 15411, 25607, 891, 5036, 2843, 1021, 17299, 14101, 285, 5685, 253, 2381, 5085, 272, 14418, 554, 15965, 270, 40, 7962, 753, 783, 272, 556, 7483, 16737, 10733, 7518, 20795, 289, 1560, 1350, 276, 720, 3408, 18803, 285, 253, 20293, 272, 253, 11036, 270, 24960, 4318, 543, 17331, 289, 9030, 433, 2868, 255, 772, 396, 276, 22321, 16094, 276, 905, 1964, 6059, 272, 7313, 289, 24238, 2501, 2898, 730, 543, 17232, 276, 253, 8801, 1485, 375, 1253, 253, 11036, 270, 7571, 253, 6909, 272, 783, 4220, 2697, 448, 253, 4648, 272, 253, 11036, 554, 1323, 255, 344, 22804, 1168, 461, 10373, 556, 11036, 642, 272, 248, 2699, 272, 13361, 285, 15504, 289, 21116, 253, 18692, 3446, 84, 335, 556, 1395, 1415, 255, 772, 642, 272, 248, 2095, 14, 11643, 271, 8428, 335, 8125, 289, 28632, 270, 3811, 248, 945, 1168, 19528, 2215, 14418, 1232, 640, 916, 2195, 326, 10161, 363, 248, 1773, 12841, 2658, 640, 1168, 4750, 842, 285, 6590, 253, 4190, 285, 16582, 2513, 2215, 1408, 270, 340, 14823, 289, 905, 2379, 1119, 272, 11213, 480, 543, 285, 10244, 713, 363, 248, 5261, 847, 15411, 382, 315, 375, 7074, 20796, 270, 340, 22804, 8993, 248, 19655, 335, 26223, 7483, 16737, 341, 543, 3145, 276, 253, 5395, 1280, 314, 340, 7518, 12701, 28395, 19622, 366, 436, 4216, 1526, 11924, 270, 10752, 248, 6541, 543, 914, 13028, 366, 253, 3139, 375, 7433, 272, 248, 1230, 1096, 1435, 12841, 9589, 270, 465, 480, 9723, 255, 344, 525, 407, 992, 8183, 2918, 320, 4591, 398, 1689, 887, 1055, 1395, 11852, 3191, 730, 326, 11939, 433, 253, 7518, 10634, 1885, 24617, 3724, 2327, 270, 2148, 5455, 255, 344, 32186, 10203, 272, 480, 636, 255, 66, 26883, 1455, 18872, 6630, 566, 5970, 3881, 2328, 8710, 3881, 12703, 317, 398, 255, 3489, 19824, 314, 340, 3918, 7518, 12701, 543, 253, 905, 4919, 12629, 2868, 341, 253, 1280, 1168, 3697, 2867, 270, 34, 13279, 2868, 543, 461, 285, 13624, 276, 2817, 335, 1020, 806, 248, 9567, 1233, 1253, 14418, 554, 2904, 270, 465, 1021, 28400, 396, 543, 21440, 3159, 255, 1229, 800, 9349, 345, 18964, 255, 445, 6006, 289, 5261, 3388, 3154, 4130, 289, 5108, 2115, 270, 52, 954, 5408, 5672, 248, 1020, 17528, 7716, 2393, 255, 4760, 8403, 448, 248, 2496, 7320, 2168, 285, 1967, 12917, 2177, 255, 332, 556, 2753, 4143, 15382, 289, 6954, 433, 248, 2037, 6376, 23590, 6780, 270, 3278, 4412, 272, 253, 1372, 289, 3821, 6523, 272, 253, 7518, 12701, 916, 326, 19888, 6241, 285, 3159, 14101, 270, 1452, 255, 264, 313, 1156, 285, 5029, 341, 276, 612, 28400, 800, 6218, 543, 4930, 1794, 7518, 289, 10509, 253, 3457, 696, 3630, 396, 270, 340, 12515, 272, 253, 12701, 276, 248, 7123, 1306, 78, 2574, 646, 255, 247, 696, 253, 2753, 2672, 10150, 276, 22330, 21097, 3675, 285, 556, 2163, 289, 4469, 255, 2709, 248, 2699, 272, 5661, 23088, 485, 255, 332, 5066, 7518, 14101, 248, 6881, 285, 2951, 556, 8003, 285, 556, 5108, 391, 696, 4034, 4224, 448, 13291, 366, 253, 12701, 554, 16697, 11280, 270, 13480, 8662, 276, 253, 12701, 543, 1625, 6833, 345, 32537, 487, 255, 1229, 25346, 289, 13374, 390, 7381, 248, 17964, 12865, 2202, 270, 2447, 32537, 487, 672, 276, 2439, 326, 1354, 276, 1021, 3159, 6185, 255, 1758, 30111, 255, 264, 313, 6576, 2867, 363, 248, 21708, 272, 253, 1500, 255, 27684, 746, 272, 16262, 270, 974, 253, 22804, 32537, 487, 543, 461, 248, 21708, 272, 248, 6511, 572, 83, 746, 649, 264, 543, 253, 746, 289, 543, 28487, 7869, 363, 248, 657, 272, 2642, 1372, 314, 340, 7518, 10012, 448, 16261, 8005, 338, 3096, 26691, 253, 2692, 9315, 4140, 9095, 66, 345, 257, 26309, 658, 3277, 270, 340, 7518, 4744, 272, 9434, 66, 516, 1098, 10562, 543, 15207, 433, 9434, 398, 363, 248, 15242, 335, 11261, 527, 453, 871, 272, 12488, 2088, 454, 270, 3278, 272, 253, 1825, 18986, 4697, 3442, 253, 11036, 724, 16900, 375, 29231, 433, 6376, 11915, 314, 340, 22804, 359, 1412, 2867, 363, 248, 1135, 432, 289, 3593, 5176, 945, 5174, 737, 1921, 272, 5788, 5066, 556, 12701, 285, 8075, 596, 9566, 270, 24960, 15942, 255, 10645, 253, 905, 8379, 272, 632, 556, 2088, 20765, 255, 14119, 1580, 255, 5884, 355, 5645, 16026, 14831, 2712, 696, 253, 12701, 1109, 3949, 800, 328, 2747, 11373, 375, 6173, 18373, 276, 632, 1175, 253, 12360, 272, 5316, 1936, 270, 1245, 724, 652, 24964, 4595, 345, 248, 1292, 16258, 3754, 276, 1779, 379, 1794, 5173, 3194, 285, 326, 248, 29162, 4335, 272, 1323, 270, 340, 19382, 696, 255, 252, 253, 1423, 272, 248, 7605, 255, 344, 12701, 543, 9644, 285, 1817, 366, 1825, 12369, 2348, 2692, 14550, 844, 253, 16634, 473, 289, 23651, 3840, 255, 84, 5837, 253, 5176, 3443, 272, 8870, 253, 12701, 285, 3555, 255, 772, 724, 652, 25120, 272, 253, 22804, 1306, 1202, 285, 9302, 2646, 2778, 363, 1020, 363, 818, 12841, 314, 340, 881, 653, 264, 10803, 250, 448, 16261, 8005, 543, 6410, 272, 482, 751, 1591, 64, 1204, 13, 1637, 3719, 2045, 285, 6061, 253, 1314, 19530, 1348, 430, 273, 3306, 289, 326, 567, 9604, 84, 338, 3015, 276, 800, 29611, 270, 600, 313, 1215, 650, 272, 8817, 272, 29162, 1292, 3082, 1804, 285, 326, 2867, 345, 253, 4762, 272, 7444, 3442, 253, 7518, 11036, 270, 1245, 359, 1215, 248, 1324, 32429, 272, 253, 1115, 272, 24238, 289, 253, 11544, 5841, 6449, 3479, 341, 14203, 276, 253, 26090, 14358, 1087, 289, 1060, 1930, 433, 253, 7518, 12701, 314, 340, 281, 26272, 5094, 255, 27466, 448, 253, 1275, 272, 973, 1600, 554, 281, 912, 285, 248, 2496, 2393, 255, 3557, 1087, 4029, 335, 253, 4273, 285, 253, 14101, 289, 556, 9350, 17665, 270, 6341, 3593, 894, 4086, 271, 6406, 289, 253, 5084, 272, 248, 5857, 5094, 1253, 973, 1600, 554, 6167, 724, 3593, 29350, 322, 751, 255, 23095, 2344, 253, 12599, 255, 1766, 290, 1526, 6167, 272, 253, 12701, 270, 340, 7518, 29658, 543, 285, 10189, 253, 5176, 366, 253, 16770, 29162, 255, 549, 341, 253, 12701, 554, 4404, 724, 1412, 3128, 285, 806, 66, 581, 253, 12841, 366, 248, 3521, 272, 8521, 1323, 1485, 640, 2876, 7651, 2327, 15, 1, 1367, 3681, 468, 9057, 466, 4316, 356, 28438, 406, 26542, 372, 26619, 3943, 7877, 12000, 32502, 19595, 1051, 23521, 5961, 18934, 419, 7207, 1471, 2824, 786, 439, 14736, 18934, 419, 7207, 421, 3926, 12000, 32502, 5441, 421, 1550, 3168, 1351, 5047, 546, 8770, 421, 5809, 2977, 4915, 439, 1163, 3926, 2720, 12000, 32502, 2316, 3543, 295, 6570, 684, 1983, 669, 9569, 21322, 6149, 493, 669, 940, 11820, 4915, 439, 23612, 421, 7808, 12000, 32502, 5441, 546, 11908, 692, 11430, 507, 940, 593, 3439, 786, 961, 18852, 2262, 2187, 429, 869, 5441, 684, 372, 26619, 3943, 7877, 12000, 32502, 19595, 421, 4447, 372, 4035, 280, 421, 10050, 15723, 16974, 3447, 429, 255, 3172, 5301, 421, 4447, 7023, 1931, 3184, 1351, 5047, 1193, 3447, 429, 439, 1163, 5961, 18934, 419, 7207, 421, 14957, 12000, 32502, 4231, 12959, 520, 5441, 421, 1550, 3447, 9074, 546, 3316, 940, 5235, 17913, 439, 5612, 255, 14132, 702, 2100, 10304, 2609, 1486, 520, 2715, 5871, 4782, 940, 5283, 593, 2454, 429, 439, 6120, 2866, 1443, 9788, 1092, 411, 12000, 32502, 421, 23521, 5961, 18934, 419, 7207, 669, 12806, 296, 3447, 786, 961, 25950, 421, 7808, 372, 26619, 3943, 7877, 12000, 32502, 19595, 702, 5441, 576, 16024, 440, 2797, 2438, 280, 466, 5221, 576, 5221, 372, 26619, 3943, 493, 546, 16605, 5038, 520, 6532, 5336, 1680, 520, 429, 439, 10966, 32502, 702, 2100, 2719, 421, 1037, 1193, 14217, 994, 6124, 295, 2751, 24861, 1612, 1851, 372, 26619, 3943, 12959, 421, 1037, 16024, 8099, 1531, 429, 439, 10966, 32502, 702, 5441, 576, 1739, 429, 869, 2311, 372, 26619, 3943, 7877, 19080, 3175, 576, 5441, 576, 16624, 2190, 786, 4135, 16605, 1976, 4933, 1669, 3558, 684, 4031, 1550, 16624, 1907, 5441, 692, 19729, 17436, 7820, 439, 7069, 10847, 4227, 940, 429, 869, 12000, 32502, 702, 2100, 4898, 11736, 2719, 421, 1037, 5441, 576, 16024, 8099, 1531, 429, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 59, 271, 7414, 21789, 543, 64, 2510, 1233, 2218, 799, 423, 4183, 8183, 272, 14248, 2101, 270, 59, 271, 7414, 21789, 18743, 276, 27913, 335, 32685, 1233, 270, 5626, 5317, 554, 1933, 543, 22561, 323, 265, 14363, 272, 876, 410, 13146, 73, 270, 28815, 323, 265, 554, 2456, 543, 453, 253, 8437, 272, 18533, 79, 2101, 270, 19, 59, 271, 7414, 21789, 1822, 13382, 2018, 255, 2401, 844, 6374, 876, 27008, 16431, 553, 317, 1168, 2598, 270, 340, 14052, 1822, 461, 844, 2632, 271, 7414, 21789, 3463, 1288, 13382, 2018, 270, 20, 16493, 16893, 2018, 8315, 285, 27913, 289, 14248, 2101, 1262, 253, 14052, 543, 20514, 366, 713, 270, 5426, 255, 344, 14052, 298, 5262, 253, 945, 272, 27913, 289, 14248, 2101, 2634, 453, 1055, 4013, 270, 59, 271, 7414, 21789, 9789, 8956, 2215, 253, 8183, 272, 20380, 17766, 270, 21, 1611, 255, 247, 253, 309, 22844, 935, 272, 2632, 271, 7414, 21789, 554, 4318, 255, 251, 253, 25724, 1600, 272, 253, 25724, 2396, 613, 2351, 835, 370, 798, 4449, 282, 8183, 272, 20380, 17766, 255, 78, 1955, 970, 2215, 27913, 270, 47, 2351, 835, 370, 798, 4449, 282, 1168, 1055, 2753, 12701, 366, 2327, 270, 340, 12701, 272, 20380, 17766, 1031, 725, 556, 5094, 3589, 272, 27913, 270, 3136, 640, 4595, 13023, 1969, 632, 1591, 253, 4744, 7821, 64, 135, 121, 549, 640, 1109, 1012, 806, 1288, 7821, 135, 122, 270, 22, 340, 4744, 272, 27913, 543, 17719, 433, 253, 12701, 272, 20380, 17766, 2658, 253, 1459, 1111, 73, 935, 341, 2632, 271, 7414, 21789, 543, 8183, 270, 23, 2148, 253, 309, 22844, 1600, 272, 253, 10096, 2396, 272, 341, 935, 255, 344, 19107, 276, 253, 4744, 543, 1199, 4352, 270, 1132, 543, 929, 1454, 2299, 335, 253, 945, 276, 253, 4744, 285, 4097, 270, 24, 2164, 341, 1600, 255, 344, 12701, 272, 20380, 17766, 21272, 721, 27913, 270, 340, 14101, 272, 27913, 10618, 2634, 270, 1245, 2299, 253, 4744, 448, 4273, 270, 1245, 6821, 882, 253, 10310, 877, 253, 871, 7821, 270, 2318, 10310, 543, 2625, 253, 8183, 554, 7115, 270, 4206, 1960, 253, 12701, 272, 20380, 17766, 1168, 17719, 253, 4744, 255, 344, 14101, 272, 27913, 1804, 10618, 2634, 270, 1245, 10618, 2634, 2562, 253, 16338, 270, 25, 1507, 253, 20380, 17766, 992, 12701, 438, 842, 6374, 2632, 271, 7414, 21789, 270, 1245, 13055, 2327, 345, 253, 528, 2038, 272, 18468, 495, 80, 270, 2281, 272, 2632, 271, 7414, 21789, 554, 14101, 10618, 2634, 270, 26, 340, 12701, 272, 20380, 17766, 11939, 6374, 2632, 271, 7414, 21789, 270, 1245, 5022, 2327, 285, 253, 8183, 272, 20380, 17766, 448, 253, 4744, 272, 542, 11191, 2101, 270, 51, 11191, 2101, 313, 276, 253, 2802, 272, 22561, 796, 270, 2058, 542, 11191, 2101, 253, 8183, 272, 20380, 17766, 17389, 1055, 13575, 345, 6374, 2632, 271, 7414, 21789, 270, 728, 1132, 448, 253, 4744, 272, 542, 11191, 2101, 255, 344, 8183, 272, 20380, 17766, 10600, 2632, 271, 7414, 21789, 554, 24732, 270, 59, 271, 7414, 21789, 543, 8955, 285, 6061, 1055, 24732, 1285, 10600, 270, 340, 8183, 272, 20380, 17766, 652, 10600, 632, 253, 8183, 554, 14520, 272, 14248, 2101, 270, 1298, 3136, 253, 8183, 272, 20380, 17766, 285, 250, 642, 2632, 271, 7414, 21789, 554, 3938, 270, 1682, 2371, 15066, 3294, 13454, 345, 2327, 270, 3136, 423, 5542, 2632, 271, 7414, 21789, 2634, 285, 20380, 17766, 270, 465, 20380, 17766, 423, 2371, 2632, 271, 7414, 21789, 721, 12963, 270, 59, 271, 7414, 21789, 29670, 276, 12963, 2658, 253, 1600, 423, 9274, 270, 1058, 47, 2351, 18958, 282, 370, 260, 255, 344, 5108, 254, 272, 253, 8183, 272, 20380, 17766, 554, 2384, 11900, 255, 28685, 285, 27913, 270, 600, 543, 345, 253, 25724, 1600, 272, 253, 14393, 2396, 255, 247, 253, 64, 683, 380, 935, 341, 613, 2351, 835, 370, 798, 4449, 282, 543, 8183, 270, 47, 2351, 18958, 282, 370, 260, 543, 277, 1156, 9589, 276, 20380, 17766, 270, 1551, 47, 2351, 18958, 282, 370, 260, 18256, 253, 14052, 554, 22563, 270, 1682, 652, 18256, 1392, 253, 8183, 554, 3569, 289, 632, 253, 12421, 272, 27913, 270, 1682, 18256, 1392, 1255, 1156, 3519, 276, 27913, 270, 1499, 340, 2753, 20380, 17766, 992, 12701, 21272, 1392, 253, 7821, 1591, 27913, 270, 2318, 12701, 543, 775, 253, 5108, 254, 272, 253, 8183, 554, 2384, 11900, 270, 1204, 47, 2351, 18958, 282, 370, 260, 255, 344, 5108, 254, 255, 26408, 253, 1846, 272, 253, 945, 341, 724, 1804, 276, 27913, 721, 4009, 1991, 270, 1682, 652, 5542, 2634, 1288, 341, 1168, 925, 11700, 1087, 285, 253, 8183, 272, 20380, 17766, 5220, 270, 1682, 652, 5542, 2634, 253, 13047, 9054, 4957, 258, 341, 724, 2299, 276, 27913, 270, 1456, 1507, 613, 2351, 18958, 282, 370, 260, 2299, 783, 272, 253, 771, 413, 303, 945, 4272, 276, 253, 2802, 270, 1682, 2299, 1288, 945, 285, 867, 276, 253, 16393, 90, 1823, 289, 253, 4497, 270, 1626, 340, 20380, 17766, 992, 12701, 21272, 725, 253, 15066, 3294, 9240, 272, 253, 22563, 270, 1245, 652, 21272, 725, 253, 9799, 289, 253, 30348, 3294, 566, 1828, 341, 724, 276, 253, 14052, 554, 22563, 270, 1245, 5542, 632, 341, 15066, 3294, 2634, 285, 20380, 17766, 270, 1212, 340, 12701, 272, 20380, 17766, 652, 5022, 755, 2018, 453, 253, 22563, 414, 81, 1877, 255, 2210, 80, 535, 84, 255, 28276, 18591, 8257, 255, 9204, 7030, 4767, 255, 81, 527, 255, 332, 632, 253, 15066, 3294, 2018, 341, 724, 785, 276, 253, 22563, 3171, 270, 683, 340, 5108, 254, 272, 253, 8183, 554, 2384, 31336, 5022, 755, 2018, 2634, 414, 20569, 1054, 255, 12773, 81, 527, 255, 9204, 7030, 4767, 255, 81, 1877, 255, 77, 2349, 1078, 84, 255, 81, 527, 255, 332, 7030, 4767, 785, 335, 7575, 27384, 270, 1682, 5022, 4906, 341, 543, 1509, 272, 6110, 375, 12252, 270, 643, 340, 871, 32508, 255, 344, 10679, 289, 253, 18089, 15066, 3294, 17349, 84, 775, 396, 255, 332, 253, 1700, 544, 9799, 724, 1199, 6391, 270, 16352, 15455, 20824, 1168, 1509, 1288, 2018, 335, 253, 14052, 554, 22563, 270, 340, 15066, 3294, 341, 1288, 2018, 724, 1509, 272, 543, 705, 6391, 396, 1109, 461, 326, 32179, 270, 2510, 3500, 272, 253, 15066, 3294, 32508, 543, 64, 2599, 4020, 991, 270, 3500, 11755, 282, 543, 64, 1212, 4020, 1591, 270, 3500, 11755, 282, 543, 17674, 270, 340, 7821, 272, 973, 11755, 282, 543, 64, 21, 6805, 4943, 270, 2296, 340, 15066, 3294, 4088, 345, 1559, 272, 253, 965, 11755, 282, 543, 64, 24, 13, 18, 16, 19, 4020, 991, 270, 673, 543, 12075, 483, 366, 248, 1857, 1265, 289, 15066, 3294, 267, 521, 31234, 717, 632, 1591, 396, 270, 340, 612, 11755, 282, 1168, 267, 521, 31234, 717, 1798, 270, 673, 543, 844, 253, 965, 11755, 282, 270, 2253, 1132, 724, 64, 9174, 267, 521, 31234, 717, 345, 253, 4887, 272, 253, 32508, 270, 2281, 2307, 255, 1534, 724, 64, 1504, 267, 521, 31234, 717, 1861, 253, 1857, 1265, 341, 6821, 1591, 253, 32508, 270, 1912, 340, 5108, 254, 272, 253, 8183, 554, 2384, 31336, 5022, 5586, 66, 21789, 289, 2632, 583, 10848, 21789, 363, 28489, 270, 15254, 66, 21789, 543, 253, 991, 28709, 255, 332, 2632, 583, 10848, 21789, 543, 253, 2381, 5481, 28709, 270, 340, 1464, 7984, 8006, 391, 724, 652, 3022, 363, 28489, 270, 1623, 340, 5108, 254, 272, 253, 8183, 554, 2384, 31336, 652, 5022, 253, 18872, 276, 5255, 272, 253, 12629, 2616, 270, 1682, 652, 5022, 6936, 272, 253, 8183, 554, 11578, 391, 363, 28489, 270, 7765, 2616, 724, 1804, 917, 276, 27913, 270, 1682, 652, 5022, 253, 651, 816, 70, 341, 543, 276, 5255, 272, 10640, 945, 276, 253, 12701, 270, 1696, 423, 5022, 64, 2157, 272, 253, 10307, 945, 341, 724, 917, 276, 253, 4744, 270, 2791, 355, 2599, 47, 2351, 18958, 282, 370, 260, 255, 344, 5108, 254, 255, 26408, 632, 1288, 14520, 270, 1682, 6297, 713, 285, 253, 8183, 272, 20380, 17766, 270, 340, 8183, 272, 20380, 17766, 543, 448, 253, 4744, 272, 542, 11191, 2101, 270, 51, 11191, 2101, 313, 276, 253, 3182, 272, 22561, 796, 270, 1132, 448, 253, 4744, 272, 542, 11191, 2101, 255, 344, 8183, 12094, 632, 1288, 14520, 285, 326, 10600, 270, 1611, 253, 945, 272, 14248, 2101, 724, 3022, 453, 556, 3182, 270, 2644, 600, 313, 811, 1021, 945, 613, 2351, 835, 370, 798, 4449, 282, 5542, 721, 4009, 1991, 414, 465, 613, 2351, 835, 370, 798, 4449, 282, 554, 64, 24, 380, 935, 363, 8183, 272, 20380, 17766, 255, 20, 13, 17, 2253, 2616, 724, 3022, 453, 14248, 2101, 270, 3019, 465, 613, 2351, 835, 370, 798, 4449, 282, 554, 64, 1212, 380, 935, 363, 8183, 272, 20380, 17766, 255, 25, 3523, 945, 724, 3022, 453, 27913, 270, 1428, 465, 613, 2351, 835, 370, 798, 4449, 282, 554, 64, 2253, 8333, 935, 363, 8183, 255, 47, 2351, 18958, 282, 370, 260, 5022, 64, 24, 2950, 2616, 272, 14248, 2101, 721, 4009, 1991, 270, 47, 2351, 18958, 282, 370, 260, 543, 253, 5108, 254, 272, 253, 8183, 554, 2384, 31336, 270, 465, 632, 255, 21, 13, 7748, 945, 724, 3022, 4009, 389, 270, 3841, 43, 27008, 16431, 563, 247, 255, 344, 8183, 272, 14248, 2101, 255, 3028, 276, 12963, 276, 20380, 17766, 335, 64, 3830, 1233, 270, 465, 253, 64, 3830, 380, 935, 272, 1055, 28717, 377, 255, 9545, 307, 6083, 254, 361, 563, 255, 344, 8183, 272, 20380, 17766, 255, 3028, 1199, 2505, 285, 876, 27008, 16431, 563, 247, 270, 1682, 1985, 876, 27008, 16431, 563, 247, 642, 272, 12963, 276, 341, 935, 270, 600, 543, 253, 1112, 935, 341, 10132, 307, 6083, 254, 361, 563, 4183, 8183, 272, 20380, 17766, 270, 9545, 307, 6083, 254, 361, 563, 1031, 876, 27008, 16431, 563, 247, 2072, 453, 12963, 345, 253, 64, 1623, 380, 1600, 272, 253, 64, 1058, 380, 2396, 270, 3523, 9545, 307, 6083, 254, 361, 563, 19433, 276, 248, 2505, 1119, 285, 876, 27008, 16431, 563, 247, 270, 1682, 7359, 876, 27008, 16431, 563, 247, 248, 1741, 272, 15746, 2031, 730, 253, 612, 24914, 341, 724, 366, 2327, 276, 20380, 17766, 270, 3086, 1611, 876, 27008, 16431, 563, 247, 5022, 1055, 12963, 13942, 1042, 270, 974, 253, 1846, 272, 1055, 1372, 255, 249, 23036, 7197, 448, 253, 8183, 554, 2891, 270, 3716, 5078, 1600, 253, 8183, 272, 20380, 17766, 7359, 876, 27008, 16431, 563, 247, 277, 1418, 559, 270, 600, 6859, 2658, 876, 27008, 16431, 563, 247, 9274, 15, 1, 10757, 31412, 13194, 27809, 1998, 3451, 4068, 26607, 960, 53, 489, 8739, 1143, 414, 3451, 4068, 474, 2409, 29607, 1295, 289, 11447, 474, 23328, 341, 917, 1147, 461, 1987, 248, 6724, 1295, 366, 1618, 12335, 942, 341, 474, 1529, 313, 248, 1602, 3259, 11447, 909, 7583, 474, 3300, 20538, 359, 3388, 345, 536, 476, 341, 474, 3300, 10865, 285, 248, 10124, 1461, 363, 396, 1349, 326, 248, 3259, 11447, 270, 465, 1829, 255, 11486, 326, 3259, 276, 253, 1684, 272, 3001, 822, 313, 277, 9379, 1031, 255, 9267, 2482, 341, 1349, 652, 326, 3259, 270, 600, 22967, 904, 536, 7650, 15, 9619, 2409, 8196, 806, 632, 2451, 436, 312, 888, 474, 974, 248, 6724, 966, 341, 11965, 276, 10061, 2377, 2219, 1781, 2568, 23328, 341, 1942, 7583, 474, 3888, 272, 632, 536, 4399, 341, 474, 6378, 335, 536, 476, 341, 474, 7021, 335, 536, 476, 341, 474, 2409, 10168, 6135, 10907, 474, 22771, 253, 9379, 1393, 1942, 9, 6611, 36, 64, 993, 26, 2735, 17110, 64, 18, 2735, 11892, 64, 18, 1613, 7583, 474, 4477, 253, 1393, 28034, 909, 2409, 2164, 277, 9379, 16602, 312, 474, 2927, 326, 248, 3975, 272, 1618, 1982, 270, 30751, 1942, 7583, 474, 3888, 289, 27012, 536, 1031, 289, 396, 313, 5708, 341, 2568, 959, 359, 2576, 693, 272, 2198, 27454, 2142, 270, 12317, 730, 277, 9379, 966, 272, 15736, 359, 990, 6643, 270, 2927, 326, 253, 4432, 341, 253, 1926, 380, 14438, 22043, 4917, 11237, 289, 1985, 471, 1999, 253, 965, 720, 11237, 3218, 725, 270, 3136, 313, 253, 4432, 341, 253, 965, 2239, 4961, 276, 253, 1019, 380, 17926, 289, 313, 253, 4432, 341, 632, 990, 2733, 2404, 725, 25085, 270, 3431, 8405, 2409, 53, 22460, 5538, 12330, 474, 23328, 341, 276, 818, 5939, 396, 8531, 341, 474, 7583, 474, 3720, 253, 2052, 272, 257, 1016, 536, 476, 341, 474, 332, 861, 536, 22449, 253, 1666, 272, 253, 5939, 1232, 474, 3431, 13, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 3963, 272, 15731, 186, 25280, 938, 330, 77, 12154, 19500, 650, 272, 1055, 5664, 345, 32357, 1030, 366, 253, 6714, 578, 5426, 255, 42, 476, 1940, 22208, 341, 253, 7616, 272, 1440, 672, 461, 326, 1020, 3173, 433, 10650, 2837, 341, 476, 1114, 838, 448, 253, 4223, 272, 3239, 1780, 2793, 37, 17124, 672, 326, 1811, 3173, 433, 10157, 2862, 289, 2837, 255, 9516, 433, 10650, 2862, 15, 18, 186, 2124, 8765, 28292, 25865, 558, 2128, 285, 3068, 1472, 7126, 720, 1798, 8034, 28947, 2790, 987, 2351, 3819, 5208, 276, 64, 9232, 25, 11215, 3013, 313, 12647, 461, 277, 10157, 2554, 32, 1306, 6327, 302, 1158, 476, 838, 4812, 285, 1039, 12647, 277, 10157, 2554, 270, 22047, 1109, 326, 11933, 254, 730, 341, 15731, 14896, 270, 859, 3239, 7161, 359, 285, 2863, 23216, 255, 1449, 1349, 2863, 3239, 3963, 314, 21405, 1633, 16946, 289, 2191, 5076, 270, 9403, 3010, 84, 285, 852, 277, 10157, 2633, 272, 12647, 476, 22084, 11186, 285, 3600, 16946, 554, 2633, 285, 253, 3239, 10993, 270, 340, 3976, 6028, 3077, 276, 2377, 272, 1472, 7617, 20734, 272, 253, 3683, 5953, 8034, 5858, 397, 8652, 335, 363, 10384, 3673, 276, 253, 5689, 678, 2622, 286, 289, 945, 8652, 335, 363, 10384, 3673, 276, 253, 3239, 678, 2622, 286, 270, 1507, 1894, 2065, 8652, 276, 277, 615, 594, 389, 1632, 272, 5689, 2052, 255, 344, 3239, 8652, 4224, 9478, 433, 1391, 1775, 602, 289, 7154, 602, 270, 34, 596, 12692, 2023, 3337, 253, 5689, 3975, 1472, 8324, 312, 7597, 2231, 15818, 2943, 1306, 332, 14453, 2189, 276, 253, 3239, 1280, 341, 1560, 4496, 255, 1808, 4434, 255, 332, 326, 10093, 270, 55, 2351, 3819, 3919, 1472, 5764, 887, 272, 3101, 1306, 475, 480, 2202, 270, 5626, 21695, 476, 2867, 1472, 18519, 1016, 1306, 332, 1472, 29316, 1306, 292, 253, 4283, 341, 5096, 3963, 270, 1507, 18449, 289, 3863, 359, 2261, 285, 17659, 363, 253, 11868, 272, 277, 10157, 901, 270, 1245, 3610, 285, 10475, 858, 2057, 255, 6201, 730, 1440, 396, 270, 55, 2351, 3819, 6445, 341, 1472, 5764, 887, 272, 3101, 1306, 9743, 20167, 4272, 253, 1915, 289, 18033, 1440, 270, 673, 313, 2261, 285, 2863, 4394, 4996, 3239, 3963, 882, 1889, 276, 18449, 289, 3863, 314, 2467, 255, 1660, 255, 262, 248, 892, 3636, 285, 1552, 277, 10157, 12647, 255, 323, 307, 2315, 253, 2633, 272, 1360, 1333, 5428, 16257, 289, 3268, 1333, 5428, 16257, 5572, 285, 655, 11684, 3267, 276, 13404, 12996, 64, 19, 14, 23, 272, 9987, 64, 993, 19, 270, 12372, 1333, 5428, 16257, 14526, 248, 2699, 272, 1430, 276, 12941, 363, 248, 3078, 8348, 18517, 270, 1283, 20511, 480, 2699, 272, 276, 12941, 255, 19519, 6464, 253, 1360, 272, 2165, 255, 6317, 4383, 2424, 270, 340, 1472, 67, 5428, 16257, 1306, 282, 2581, 1262, 2786, 18205, 363, 2483, 363, 1575, 345, 556, 1395, 12695, 289, 6218, 276, 1460, 285, 3408, 253, 1360, 640, 777, 453, 253, 1214, 270, 12372, 1333, 5428, 16257, 3815, 4845, 285, 248, 901, 272, 4559, 3963, 255, 1639, 696, 1472, 23210, 1306, 332, 1472, 23210, 1333, 5428, 16257, 1306, 3980, 838, 2966, 270, 5410, 1360, 1333, 5428, 16257, 289, 3268, 1333, 5428, 16257, 359, 3844, 5594, 270, 5512, 2762, 556, 6417, 289, 3747, 433, 3906, 285, 556, 1309, 7230, 270, 600, 3815, 248, 2191, 10157, 5999, 270, 29163, 6366, 14896, 453, 3844, 285, 3844, 270, 340, 18121, 272, 8804, 397, 414, 27624, 5926, 5428, 16257, 255, 24097, 10395, 289, 18908, 10611, 2421, 248, 2132, 2110, 272, 253, 901, 15, 19, 186, 340, 1277, 6415, 4104, 272, 253, 2133, 313, 248, 300, 16117, 3531, 312, 272, 253, 5750, 6300, 270, 673, 313, 12055, 341, 253, 2521, 272, 253, 6300, 543, 253, 6295, 453, 248, 3457, 16798, 26364, 289, 21071, 433, 2802, 19709, 285, 248, 3457, 16798, 276, 253, 3239, 10993, 433, 4563, 270, 28826, 1295, 363, 12990, 3268, 1333, 5428, 16257, 9493, 255, 7594, 1003, 285, 2969, 248, 22955, 2559, 270, 600, 2049, 272, 4563, 543, 1031, 642, 276, 248, 3520, 2357, 276, 253, 21314, 6536, 272, 19271, 255, 250, 1380, 271, 276, 248, 655, 11684, 516, 5926, 922, 15, 20, 15621, 18028, 359, 335, 253, 905, 657, 281, 1688, 6771, 315, 2072, 453, 253, 4865, 487, 272, 459, 16520, 594, 432, 3239, 2633, 255, 772, 253, 4680, 272, 459, 16520, 594, 432, 2633, 285, 2595, 253, 3769, 272, 4563, 620, 3318, 18028, 285, 4468, 556, 3884, 3769, 285, 253, 5750, 6300, 270, 340, 18028, 272, 253, 5750, 6300, 15997, 253, 2521, 11332, 272, 253, 6300, 270, 340, 9349, 620, 838, 345, 6712, 1440, 255, 15615, 255, 2523, 1871, 255, 4587, 353, 1323, 255, 2700, 255, 772, 1655, 248, 2352, 1939, 345, 4563, 253, 5750, 6300, 313, 461, 1020, 6257, 270, 673, 313, 12055, 341, 3344, 13395, 276, 13878, 2413, 255, 1195, 2413, 289, 12992, 1703, 30795, 253, 2521, 2189, 276, 253, 5163, 3638, 5750, 6300, 255, 332, 3344, 13395, 276, 8953, 16928, 289, 17067, 2955, 30795, 253, 2521, 2189, 276, 253, 7696, 2985, 7306, 272, 5263, 314, 340, 10157, 2633, 272, 1360, 1333, 5428, 16257, 289, 3268, 1333, 5428, 16257, 3815, 248, 892, 5342, 345, 253, 2218, 2633, 17493, 3245, 7540, 1360, 1333, 5428, 16257, 1306, 262, 253, 901, 433, 696, 7161, 359, 2511, 276, 9934, 366, 253, 3844, 289, 6417, 272, 253, 13089, 270, 2281, 2633, 313, 1472, 11643, 271, 8034, 600, 313, 5109, 7022, 276, 253, 2633, 12032, 285, 6270, 5263, 270, 12341, 542, 279, 21842, 2511, 1055, 2633, 272, 15155, 5115, 276, 253, 2808, 272, 1055, 7605, 276, 253, 5163, 20125, 335, 4128, 265, 272, 253, 21771, 24679, 270, 1682, 9459, 248, 3176, 368, 5495, 255, 247, 696, 7157, 272, 15155, 8636, 916, 8857, 369, 2413, 3880, 270, 1507, 276, 253, 2808, 272, 248, 3268, 1333, 5428, 16257, 746, 255, 14516, 3793, 8857, 369, 696, 4563, 359, 363, 10384, 417, 270, 959, 553, 1074, 276, 8636, 409, 326, 14111, 433, 13605, 285, 16582, 3911, 285, 2286, 10213, 3154, 3793, 270, 5934, 255, 247, 277, 10157, 746, 255, 9599, 487, 313, 2906, 5352, 270, 28826, 14896, 556, 13395, 276, 9934, 366, 5040, 7230, 270, 340, 6654, 2041, 386, 24534, 30017, 11351, 12055, 341, 5163, 12626, 272, 1472, 10063, 5263, 1306, 3028, 929, 596, 730, 657, 29385, 259, 12291, 1019, 292, 253, 9895, 10609, 5842, 255, 13739, 426, 543, 3869, 285, 3408, 5115, 453, 1730, 19982, 22860, 270, 6527, 30427, 2002, 272, 4261, 5263, 27932, 253, 9167, 272, 248, 3268, 1333, 5428, 16257, 746, 3191, 730, 253, 9651, 285, 1472, 22984, 729, 5115, 1306, 332, 1472, 10063, 5263, 1306, 1554, 313, 705, 12170, 248, 657, 272, 16790, 25688, 314, 340, 2946, 272, 3268, 1333, 5428, 16257, 4111, 652, 11162, 1918, 261, 554, 1780, 272, 10650, 1943, 272, 9725, 270, 5133, 1918, 261, 11895, 1733, 25041, 20776, 255, 84, 656, 789, 363, 253, 14405, 272, 5775, 1253, 5204, 289, 253, 13235, 4569, 272, 4088, 276, 4186, 2215, 375, 276, 253, 2808, 272, 248, 1472, 3934, 432, 1306, 27464, 270, 1507, 6257, 276, 2377, 272, 277, 10157, 3268, 1333, 5428, 16257, 746, 255, 344, 10274, 359, 22575, 6603, 270, 16201, 397, 582, 461, 1295, 276, 253, 1119, 11162, 1918, 261, 2556, 7495, 270, 28826, 363, 29663, 16257, 9493, 1460, 556, 6259, 10167, 285, 253, 1472, 71, 9262, 1306, 999, 9805, 12647, 270, 5554, 13395, 11141, 2325, 363, 3074, 3351, 270, 5133, 1918, 261, 11895, 433, 3906, 285, 1055, 1472, 3934, 432, 1306, 27464, 255, 332, 1232, 20094, 253, 10274, 363, 253, 1618, 3376, 255, 549, 341, 640, 5418, 1055, 7173, 270, 5626, 8308, 345, 253, 1472, 7101, 4576, 1306, 999, 6259, 3574, 8824, 276, 253, 1472, 3934, 432, 1306, 26344, 255, 772, 359, 2718, 285, 29007, 276, 253, 2808, 272, 10157, 3268, 1333, 5428, 16257, 314, 465, 20452, 272, 253, 8649, 13637, 272, 248, 2633, 272, 10157, 12647, 285, 253, 3694, 9167, 272, 15731, 255, 344, 3989, 10157, 7161, 476, 1168, 2483, 1869, 345, 16790, 12647, 270, 1245, 476, 9256, 7719, 285, 2199, 16790, 12647, 721, 248, 892, 2077, 270, 600, 4680, 1349, 276, 1539, 657, 326, 13283, 285, 4680, 285, 1552, 253, 2352, 2633, 2555, 285, 565, 2529, 277, 3989, 2633, 341, 313, 705, 12750, 11558, 2067, 255, 9634, 489, 751, 800, 22575, 10630, 453, 5085, 285, 5085, 270, 2318, 4960, 313, 22221, 335, 253, 6474, 272, 248, 892, 2633, 272, 253, 3963, 272, 15731, 270, 859, 253, 1861, 1472, 17492, 818, 17370, 84, 6495, 264, 313, 27283, 341, 1288, 891, 6761, 713, 558, 7896, 253, 892, 2633, 276, 5667, 270, 1038, 330, 77, 12154, 255, 2899, 9695, 255, 4691, 326, 20437, 271, 285, 1140, 1055, 26867, 5448, 6115, 276, 4996, 2317, 314, 355, 1038, 330, 77, 12154, 255, 25280, 516, 1353, 971, 19, 11215, 10570, 289, 253, 10395, 276, 253, 30935, 9797, 276, 19271, 6495, 7395, 15621, 7247, 255, 6894, 270, 10499, 255, 2828, 270, 20, 255, 403, 270, 31457, 14, 29918, 255, 403, 270, 4018, 23, 14, 24, 270, 3215, 7590, 276, 2206, 1269, 255, 5571, 8633, 255, 993, 22, 66, 11215, 1130, 1935, 14579, 6316, 255, 20836, 6316, 289, 253, 6316, 26362, 6495, 13482, 14, 11403, 19271, 7247, 255, 10942, 64, 3200, 255, 643, 18765, 64, 993, 22, 255, 403, 270, 14070, 14, 10069, 255, 6205, 3343, 5024, 4858, 66, 6327, 18898, 16, 4669, 2020, 1225, 963, 16, 16219, 3200, 16, 2531, 1269, 3200, 20488, 270, 5787, 13275, 271, 276, 2206, 1269, 255, 5571, 8633, 255, 993, 22, 67, 255, 1130, 1566, 84, 272, 12262, 5926, 5428, 16257, 289, 22933, 5926, 5428, 16257, 255, 38, 5926, 922, 255, 11403, 19271, 7331, 314, 355, 2531, 1269, 255, 5571, 8633, 255, 993, 23, 255, 340, 18121, 272, 8804, 397, 414, 27624, 5926, 5428, 16257, 255, 24097, 10395, 289, 18908, 10611, 255, 3741, 268, 8681, 289, 2801, 5243, 414, 21165, 1693, 314, 355, 2531, 1269, 255, 5571, 8633, 255, 993, 22, 68, 11215, 28826, 289, 7601, 1343, 414, 24097, 1547, 1871, 272, 253, 579, 2967, 289, 248, 30564, 272, 5568, 3956, 363, 538, 5428, 16257, 416, 1527, 18025, 6495, 14509, 6536, 272, 19271, 255, 3365, 10639, 10776, 3729, 64, 19, 8802, 64, 993, 22, 255, 7773, 27, 728, 15, 12627, 20, 11664, 21980, 14712, 1225, 17, 3019, 270, 5787, 13275, 271, 276, 2206, 1269, 255, 993, 22, 67, 314, 3295, 414, 403, 15, 24, 14, 25, 272, 3970, 19271, 7331, 13404, 12996, 64, 22, 9, 23, 823, 18320, 64, 993, 22, 1, 11278, 11281, 9238, 26236, 16399, 13898, 421, 19934, 708, 463, 5256, 7457, 466, 1051, 10769, 296, 8171, 421, 15418, 576, 975, 829, 385, 593, 590, 23213, 994, 14451, 466, 5186, 557, 576, 2310, 576, 2310, 64, 22435, 2719, 520, 6857, 766, 2184, 439, 7257, 466, 14944, 576, 2464, 1907, 18596, 2494, 439, 16395, 4702, 702, 3355, 869, 10769, 296, 8171, 421, 17409, 507, 576, 19934, 708, 463, 5256, 2262, 2297, 3614, 8885, 7070, 14261, 15649, 280, 12219, 7286, 421, 17409, 507, 14, 1839, 1279, 1389, 12150, 669, 15418, 576, 975, 829, 385, 593, 590, 23213, 994, 14451, 466, 5186, 2184, 439, 337, 1680, 708, 463, 5256, 421, 18343, 6353, 735, 270, 3243, 270, 283, 11488, 702, 3355, 869, 25966, 421, 11703, 64, 19546, 17179, 4687, 8171, 466, 64, 2153, 1382, 1907, 18596, 2494, 439, 29773, 520, 5863, 692, 9894, 1976, 4933, 439, 24081, 421, 14982, 3196, 23557, 17340, 13527, 337, 702, 3355, 869, 25966, 466, 64, 22435, 2719, 520, 3198, 19876, 2184, 684, 64, 14442, 4676, 13858, 2190, 786, 439, 7386, 255, 16125, 3551, 12425, 7207, 1486, 684, 14300, 2719, 702, 23225, 11485, 4033, 1307, 684, 1668, 809, 5216, 546, 7238, 3577, 1556, 961, 32056, 508, 590, 463, 6594, 7647, 16369, 11988, 7238, 421, 9131, 702, 3355, 869, 5730, 331, 6917, 385, 576, 18742, 1702, 337, 9851, 804, 7200, 421, 14957, 4898, 1668, 809, 5216, 546, 26536, 1445, 439, 12789, 5906, 17724, 15781, 14587, 639, 702, 25265, 12112, 669, 22533, 10780, 2734, 2190, 12131, 3207, 421, 6372, 10746, 546, 7627, 11617, 3308, 5385, 7373, 5038, 692, 25422, 1307, 429, 439, 3567, 9322, 546, 1668, 809, 5216, 546, 3947, 16772, 17809, 5217, 7114, 2243, 12756, 1243, 11465, 692, 8198, 7968, 2190, 4031, 356, 3530, 809, 5216, 406, 10799, 2629, 21872, 2614, 520, 3314, 856, 520, 439, 23717, 639, 702, 1739, 869, 1108, 3362, 520, 27179, 421, 4017, 692, 7093, 6637, 593, 23454, 8969, 14771, 1471, 421, 1037, 31899, 4844, 32489, 15982, 356, 3243, 874, 1612, 406, 1944, 295, 4050, 16815, 1037, 12126, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2148, 532, 2693, 72, 526, 2632, 589, 72, 2213, 356, 2671, 73, 5518, 2148, 876, 2744, 270, 35, 3213, 407, 302, 1808, 186, 6183, 9312, 3236, 14270, 7639, 5904, 23232, 272, 632, 14721, 1500, 285, 253, 8965, 272, 1292, 395, 18767, 1227, 289, 18613, 395, 18767, 1227, 276, 248, 1687, 64, 1058, 3385, 270, 344, 3709, 272, 1190, 1305, 480, 3761, 6984, 1363, 253, 2191, 2970, 4411, 313, 13420, 248, 943, 272, 596, 5339, 7277, 272, 253, 4161, 255, 247, 1829, 276, 2731, 272, 23547, 8965, 289, 8683, 270, 465, 929, 248, 657, 272, 253, 7011, 313, 341, 480, 4173, 5708, 730, 1363, 253, 8950, 272, 18613, 395, 18767, 1227, 2216, 882, 4377, 5333, 276, 23035, 868, 4385, 270, 36, 315, 738, 6750, 1194, 8965, 289, 800, 26013, 345, 21483, 8950, 313, 1657, 3191, 1020, 8523, 255, 475, 4040, 255, 1639, 1119, 272, 253, 2799, 272, 1829, 21483, 355, 69, 3304, 26177, 255, 1201, 2397, 2481, 7870, 18613, 395, 18767, 1227, 289, 23035, 17762, 22880, 717, 270, 1054, 5374, 272, 10794, 14046, 1954, 3925, 395, 1227, 255, 28174, 1542, 2046, 1513, 255, 14774, 264, 3676, 289, 8063, 264, 3676, 21186, 8344, 248, 2814, 1190, 272, 13637, 285, 5209, 289, 23547, 8965, 270, 4789, 650, 7136, 272, 253, 3975, 9404, 26834, 9654, 285, 632, 6958, 18072, 276, 1687, 3351, 272, 253, 4161, 289, 9135, 363, 248, 2889, 4598, 335, 253, 311, 1794, 6422, 7600, 386, 270, 23039, 17228, 432, 6180, 3703, 9763, 289, 14885, 4096, 8808, 276, 1737, 3351, 272, 2970, 6422, 270, 5549, 8300, 882, 2424, 272, 2028, 15414, 1363, 253, 1500, 4161, 2731, 255, 344, 3975, 6666, 248, 2384, 8037, 335, 253, 311, 1794, 6422, 7600, 386, 255, 1229, 10307, 255, 247, 14923, 3268, 15952, 271, 272, 1480, 5109, 4497, 272, 8965, 270, 85, 5604, 23232, 3436, 272, 1967, 13127, 272, 248, 1687, 1933, 313, 9242, 289, 299, 1333, 922, 313, 345, 277, 7130, 375, 1740, 4221, 430, 7660, 314, 2148, 608, 74, 886, 2150, 74, 6383, 393, 378, 8464, 186, 3295, 253, 5054, 1538, 414, 18992, 327, 8184, 289, 18126, 255, 292, 1021, 902, 5209, 3164, 255, 15609, 326, 5696, 721, 1137, 7014, 289, 6424, 2731, 270, 8578, 480, 2082, 2261, 1979, 18215, 1177, 2045, 375, 18469, 2045, 272, 4076, 375, 19061, 4423, 476, 5327, 366, 1514, 341, 19166, 285, 24523, 4349, 289, 10093, 882, 1829, 7050, 11974, 270, 340, 5209, 1980, 359, 12866, 255, 332, 253, 19422, 5603, 359, 8008, 289, 731, 3961, 3629, 248, 3975, 272, 21368, 4067, 696, 672, 1516, 248, 966, 272, 2970, 2979, 17135, 272, 612, 2970, 9273, 270, 6894, 7717, 64, 17475, 289, 64, 19214, 272, 12862, 276, 3122, 8190, 985, 14629, 276, 12102, 289, 276, 11942, 1135, 341, 620, 838, 9113, 335, 253, 3545, 272, 1524, 253, 1740, 15900, 272, 1288, 22778, 1137, 7014, 2711, 289, 253, 8683, 272, 253, 1514, 289, 556, 11974, 341, 19166, 285, 248, 1831, 272, 253, 5291, 3700, 340, 4411, 9961, 7600, 327, 8184, 289, 18126, 313, 6450, 289, 892, 3303, 359, 16896, 1285, 4595, 270, 898, 10286, 255, 66, 1831, 4072, 620, 838, 2521, 285, 16269, 253, 1266, 10307, 289, 2340, 3163, 4292, 270, 2750, 787, 8579, 4250, 2340, 1516, 2028, 1889, 272, 6598, 3671, 255, 332, 536, 476, 1657, 15458, 285, 27356, 341, 1288, 3164, 724, 6615, 186, 2148, 516, 8107, 263, 542, 270, 3365, 1365, 186, 2148, 17385, 28761, 452, 270, 44, 7081, 1343, 5766, 255, 10176, 393, 270, 35, 450, 398, 9612, 255, 6183, 77, 400, 270, 24811, 90, 356, 2671, 73, 13665, 26449, 538, 270, 51, 606, 1918, 356, 3249, 5518, 600, 7136, 17327, 253, 3479, 272, 28729, 7336, 23834, 7118, 2540, 538, 14602, 6086, 3528, 2548, 10507, 58, 272, 15871, 285, 17653, 1392, 20043, 16984, 1363, 253, 1251, 272, 1046, 7145, 10464, 289, 272, 13459, 253, 6453, 709, 6344, 285, 1331, 1319, 1415, 6281, 255, 8443, 10572, 5889, 255, 12902, 9394, 270, 581, 2487, 366, 277, 276, 5667, 2357, 882, 566, 270, 49, 270, 44, 7081, 1343, 5766, 255, 46, 270, 52, 270, 35, 450, 398, 9612, 289, 400, 270, 36, 270, 24811, 90, 448, 253, 10163, 255, 23386, 289, 10880, 544, 2955, 272, 2620, 19296, 90, 790, 3039, 270, 7713, 26157, 248, 1354, 2392, 272, 17843, 272, 1021, 1199, 1156, 2711, 272, 253, 2970, 12421, 272, 2620, 16836, 90, 790, 3039, 255, 344, 4411, 21186, 6704, 341, 14107, 248, 10019, 328, 5690, 2370, 1288, 341, 6422, 253, 5209, 2495, 272, 2620, 19296, 90, 790, 3039, 270, 332, 945, 891, 1251, 800, 6119, 30046, 74, 1378, 8794, 270, 344, 1444, 433, 1633, 272, 1028, 7081, 1343, 5766, 289, 1055, 9038, 313, 277, 2415, 289, 28842, 653, 806, 480, 2392, 272, 1260, 1873, 289, 285, 2286, 277, 4595, 2588, 1892, 272, 253, 4161, 270, 340, 4220, 3555, 721, 253, 4161, 276, 2103, 3147, 289, 253, 4173, 28988, 12185, 6453, 672, 7435, 1657, 289, 1562, 777, 285, 300, 1269, 1055, 25645, 3039, 4394, 8965, 5593, 1890, 11600, 253, 1057, 341, 255, 344, 9820, 313, 5451, 396, 289, 253, 1444, 313, 248, 1020, 5065, 271, 21497, 341, 536, 12313, 4701, 366, 25645, 6683, 363, 6886, 6896, 454, 255, 8443, 341, 12913, 4919, 2191, 6247, 420, 22726, 276, 248, 2495, 285, 1213, 8008, 255, 8443, 10572, 6318, 255, 2809, 2915, 270, 344, 7696, 2357, 313, 3629, 876, 270, 10556, 611, 9905, 526, 289, 613, 270, 49, 270, 41, 1410, 27452, 462, 17, 732, 254, 289, 29663, 2038, 366, 19837, 7201, 272, 5088, 12319, 22270, 2046, 312, 1716, 314, 2148, 542, 319, 332, 5068, 25999, 186, 28230, 2283, 1363, 253, 3761, 272, 257, 430, 279, 6683, 620, 1509, 396, 14099, 285, 29706, 253, 3520, 1030, 5394, 1288, 14885, 17893, 289, 285, 9753, 253, 3975, 272, 4368, 276, 480, 2168, 270, 465, 64, 3882, 17, 255, 34, 270, 40, 4722, 5334, 6086, 3340, 44, 6620, 953, 340, 14270, 289, 10813, 272, 393, 430, 279, 4500, 1709, 289, 13279, 8532, 7225, 14509, 2641, 487, 5628, 406, 332, 276, 64, 3282, 23, 255, 34, 270, 4038, 52, 3063, 24793, 40, 289, 400, 27791, 45, 270, 52, 6086, 3063, 15622, 22039, 6958, 953, 30135, 542, 2948, 272, 393, 430, 279, 4500, 1709, 7225, 2895, 258, 364, 5628, 795, 8578, 480, 299, 1333, 922, 9349, 313, 1687, 285, 6260, 14830, 7414, 2957, 9701, 276, 253, 11590, 289, 1251, 272, 257, 430, 279, 6683, 270, 3449, 2192, 285, 253, 8950, 272, 11734, 289, 2452, 257, 430, 279, 6683, 359, 3388, 289, 253, 1292, 303, 9409, 3761, 272, 11994, 289, 9720, 272, 1288, 3351, 313, 11257, 270, 52, 430, 322, 4520, 359, 17798, 276, 248, 2167, 272, 253, 12598, 255, 16871, 1262, 257, 430, 322, 1044, 724, 1020, 11659, 363, 3351, 272, 2152, 21276, 6397, 479, 2556, 559, 270, 1130, 12244, 313, 13420, 276, 16365, 285, 253, 10952, 272, 257, 430, 279, 6683, 276, 8597, 272, 2711, 272, 1046, 7145, 8683, 255, 623, 612, 32514, 313, 9392, 285, 1288, 9962, 270, 2056, 480, 2133, 1781, 532, 23872, 285, 11128, 21777, 90, 26222, 276, 257, 430, 279, 3039, 8965, 289, 1740, 15900, 255, 332, 341, 2062, 7588, 341, 396, 4853, 326, 272, 3059, 693, 289, 15112, 800, 2495, 276, 20863, 4010, 272, 276, 14245, 270, 600, 299, 1333, 922, 14035, 248, 5455, 285, 13531, 632, 9038, 276, 8597, 272, 9072, 255, 14191, 366, 1249, 14725, 3616, 391, 345, 253, 13013, 272, 538, 4836, 364, 289, 1028, 1171, 255, 475, 1055, 375, 1408, 12172, 255, 24083, 5693, 10159, 289, 255, 22316, 753, 1156, 255, 67, 8715, 4073, 5462, 270, 344, 32254, 12172, 366, 876, 270, 39, 270, 40, 270, 55, 45, 42, 7447, 7008, 41, 11851, 289, 1055, 14725, 3616, 391, 255, 15281, 250, 26730, 255, 3489, 838, 24325, 276, 8597, 272, 28400, 314, 2148, 599, 14924, 416, 270, 28513, 1419, 186, 21041, 4303, 730, 253, 7191, 14926, 791, 350, 4824, 5701, 6347, 11910, 366, 1572, 858, 255, 5117, 7600, 1158, 255, 14260, 10347, 255, 19692, 260, 1158, 255, 332, 4474, 1158, 6943, 341, 1843, 1496, 672, 9000, 4537, 253, 1774, 285, 5894, 270, 12705, 279, 1158, 289, 7600, 1158, 2240, 345, 3388, 253, 5475, 9409, 892, 1120, 276, 5176, 12391, 2011, 285, 953, 5932, 357, 1045, 332, 953, 21005, 13522, 4551, 332, 1509, 10468, 9654, 285, 253, 953, 9846, 5076, 1045, 332, 953, 22325, 1045, 999, 253, 5316, 270, 247, 253, 7066, 617, 255, 5602, 6179, 272, 253, 6810, 785, 1843, 1496, 276, 5470, 10699, 2562, 23619, 322, 751, 8983, 253, 905, 3077, 9962, 272, 32413, 255, 14191, 366, 9720, 289, 12736, 314, 3295, 253, 5084, 272, 3386, 2748, 1582, 17465, 1363, 253, 2415, 642, 6988, 285, 6138, 268, 253, 13064, 19829, 272, 4474, 5788, 255, 10568, 1496, 289, 253, 1774, 272, 32413, 13030, 31460, 7012, 731, 5608, 2573, 2370, 253, 4996, 2560, 272, 253, 2240, 17502, 10270, 289, 253, 10270, 272, 423, 889, 390, 270, 8921, 751, 253, 875, 78, 9331, 272, 1843, 1496, 366, 253, 5209, 875, 78, 9331, 272, 524, 4219, 2065, 255, 5602, 6179, 3694, 276, 9720, 289, 12736, 12421, 341, 32062, 713, 272, 253, 3520, 1120, 270, 8584, 1485, 4906, 826, 431, 729, 16663, 279, 5069, 26405, 2370, 1843, 1496, 289, 5894, 10970, 27676, 2379, 289, 6619, 9041, 276, 1774, 5209, 7352, 721, 253, 5154, 1741, 272, 32413, 255, 344, 1841, 272, 423, 889, 390, 255, 332, 253, 10163, 272, 253, 4512, 270, 10568, 1496, 289, 253, 1774, 272, 5894, 860, 15634, 248, 20710, 4713, 272, 253, 6860, 2370, 6347, 11910, 289, 253, 5894, 10270, 341, 14203, 25383, 3181, 285, 253, 3377, 25088, 272, 6468, 8683, 314, 2148, 748, 77, 9905, 14822, 250, 14, 3215, 370, 611, 186, 2148, 516, 270, 43, 270, 18723, 186, 600, 7854, 4652, 248, 3251, 272, 15458, 289, 23584, 345, 7335, 5470, 1363, 253, 3761, 272, 1740, 15900, 270, 340, 5470, 359, 3388, 500, 3216, 289, 558, 326, 785, 1655, 7160, 375, 276, 248, 5205, 3607, 270, 31988, 20208, 276, 1515, 366, 248, 1539, 3251, 272, 19422, 12607, 696, 14819, 755, 24294, 335, 3195, 4978, 26205, 6059, 285, 3801, 5470, 285, 5116, 4286, 818, 1687, 1740, 15900, 2152, 270, 11015, 3228, 359, 1509, 335, 3232, 18072, 276, 3232, 8008, 6059, 270, 247, 2326, 285, 253, 26205, 901, 253, 5470, 359, 5672, 433, 1119, 272, 14848, 12680, 255, 30195, 21403, 272, 1980, 255, 6112, 4094, 335, 4173, 1251, 289, 19471, 15, 1, 17793, 359, 253, 2121, 5085, 255, 71, 23868, 253, 2121, 3004, 9674, 285, 1039, 2987, 345, 341, 1019, 1554, 248, 933, 6757, 10718, 276, 4207, 255, 2236, 818, 3685, 255, 66, 933, 929, 3029, 904, 556, 7320, 375, 8375, 375, 12651, 21974, 4469, 939, 476, 341, 10059, 255, 8132, 476, 341, 2931, 4830, 255, 332, 917, 313, 5113, 596, 5160, 285, 341, 730, 2356, 270, 2318, 313, 253, 1825, 28424, 2432, 54, 2744, 270, 29345, 1348, 400, 654, 9253, 254, 356, 37, 255, 29692, 823, 6343, 64, 993, 23, 186, 5397, 2449, 4567, 15525, 1348, 9253, 254, 399, 7590, 929, 345, 5418, 268, 1230, 368, 1603, 20629, 255, 35, 1343, 90, 2918, 55, 395, 255, 475, 25492, 272, 4769, 314, 1427, 7473, 4225, 359, 11544, 5841, 1262, 4256, 6727, 4744, 3603, 3685, 359, 25610, 369, 285, 476, 556, 1404, 9260, 248, 1415, 1603, 289, 253, 3004, 4744, 1972, 4225, 359, 1412, 1199, 4256, 2260, 314, 1038, 18330, 2268, 5297, 5273, 248, 1190, 272, 1230, 368, 4225, 276, 64, 5609, 4608, 1591, 253, 3182, 289, 1246, 341, 578, 355, 29185, 1230, 368, 4225, 276, 253, 16575, 1552, 4019, 2031, 1943, 272, 7130, 2283, 276, 1213, 3750, 289, 2873, 3510, 285, 556, 3828, 1972, 1603, 12577, 314, 355, 9162, 12920, 335, 1230, 368, 1603, 1172, 359, 3428, 433, 1737, 5558, 335, 7823, 255, 5626, 20323, 255, 550, 19055, 289, 2384, 2356, 1172, 276, 1213, 3750, 289, 2873, 314, 355, 7571, 253, 3635, 2451, 1524, 6503, 255, 1534, 359, 6449, 4615, 276, 696, 253, 5405, 272, 253, 1230, 368, 4225, 20167, 253, 1524, 12920, 272, 556, 3828, 1972, 1603, 20308, 255, 3591, 285, 16263, 7184, 1539, 5039, 314, 974, 1123, 255, 3656, 368, 4225, 359, 1199, 4635, 276, 2801, 5243, 8630, 289, 5453, 705, 335, 5902, 18703, 289, 32493, 1172, 356, 3032, 6138, 2151, 1436, 17080, 270, 1427, 7473, 4225, 867, 1020, 799, 640, 359, 2598, 1250, 270, 1245, 867, 5453, 1020, 335, 14987, 1404, 276, 1539, 6449, 1964, 270, 1294, 359, 3369, 253, 991, 15901, 4214, 453, 1730, 19055, 5440, 891, 558, 4470, 253, 905, 453, 248, 2483, 4173, 870, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1065, 409, 693, 253, 586, 433, 2518, 13919, 345, 486, 3865, 3233, 345, 253, 4904, 375, 433, 11079, 17170, 10071, 721, 253, 3761, 1861, 253, 4904, 255, 332, 1232, 13919, 345, 10262, 314, 18, 270, 3720, 253, 4904, 186, 340, 4904, 313, 2343, 285, 693, 270, 16294, 253, 4904, 433, 13919, 289, 6032, 25100, 375, 18672, 253, 4904, 861, 345, 6424, 314, 59, 7182, 276, 366, 253, 1241, 332, 1019, 772, 12631, 375, 433, 1018, 253, 24536, 9818, 255, 263, 433, 8818, 4177, 861, 345, 6424, 270, 1132, 313, 248, 2939, 1295, 345, 253, 4904, 255, 25704, 433, 253, 2794, 4371, 5095, 6543, 270, 36, 790, 756, 345, 396, 2829, 360, 285, 2939, 335, 248, 3865, 255, 332, 16724, 4100, 375, 244, 5483, 253, 2939, 1925, 345, 6424, 558, 3971, 360, 285, 341, 3865, 270, 4727, 341, 12535, 335, 248, 3865, 914, 9404, 360, 285, 341, 3865, 255, 264, 1147, 461, 29097, 253, 32114, 42, 2173, 335, 341, 3865, 314, 19, 270, 9646, 751, 248, 1713, 186, 3811, 32114, 42, 2173, 476, 838, 5080, 255, 260, 4420, 4961, 285, 5610, 248, 9868, 1713, 270, 600, 558, 3034, 486, 1528, 721, 248, 9868, 2703, 335, 486, 17981, 270, 10612, 42, 2173, 558, 326, 2282, 345, 253, 1250, 255, 332, 486, 6835, 3865, 558, 326, 8818, 3237, 285, 248, 4904, 314, 20, 270, 11372, 268, 253, 878, 186, 3811, 32114, 42, 2173, 476, 838, 5080, 255, 260, 4420, 4961, 285, 5610, 248, 29684, 9647, 2173, 356, 5882, 55, 406, 8169, 270, 600, 2703, 3476, 253, 1387, 1030, 578, 50, 18, 414, 5886, 28635, 664, 375, 64, 1623, 380, 2479, 664, 272, 253, 32114, 42, 2173, 335, 248, 1829, 2396, 314, 50, 20, 414, 25290, 28635, 664, 375, 64, 3328, 380, 2479, 664, 272, 253, 32114, 42, 2173, 335, 248, 1829, 2396, 314, 69, 4070, 895, 414, 344, 2984, 3821, 1590, 8077, 335, 248, 1829, 2396, 314, 2809, 14413, 483, 414, 66, 2987, 375, 7080, 1461, 16050, 2572, 480, 32114, 42, 620, 1168, 7407, 10849, 878, 448, 480, 1829, 3865, 255, 332, 253, 878, 543, 23666, 483, 1018, 253, 15885, 2811, 11826, 314, 19420, 414, 344, 2396, 272, 480, 1829, 2984, 32114, 42, 314, 8627, 414, 344, 1684, 696, 480, 32114, 42, 1461, 9769, 1363, 314, 8296, 741, 414, 66, 2987, 375, 7080, 1461, 16050, 2572, 248, 9812, 543, 1687, 3017, 16539, 268, 253, 32114, 42, 2173, 314, 21, 270, 53, 20828, 286, 938, 515, 186, 600, 6543, 2829, 360, 285, 1200, 632, 272, 253, 64, 19, 13, 1637, 1041, 11403, 8219, 12267, 1525, 13572, 356, 56, 14652, 406, 27565, 11826, 5228, 1591, 253, 1280, 255, 25704, 433, 5280, 11073, 314, 22, 270, 6263, 4773, 5016, 22145, 186, 4727, 341, 22681, 313, 2451, 276, 253, 9810, 21612, 255, 332, 2962, 276, 253, 9870, 21612, 270, 9772, 3093, 313, 2451, 12401, 272, 253, 6081, 7276, 27866, 255, 332, 2962, 11913, 272, 253, 6081, 7276, 27866, 314, 6490, 22145, 1349, 326, 10404, 363, 22681, 289, 1114, 3093, 276, 8640, 831, 270, 974, 1123, 255, 55, 13056, 646, 255, 16250, 916, 326, 10404, 363, 797, 4018, 15, 5322, 9346, 10365, 15, 3240, 10560, 859, 360, 476, 10071, 1895, 276, 5039, 2735, 1764, 2196, 2735, 30686, 356, 37, 4331, 406, 575, 255, 1129, 409, 7043, 713, 285, 8640, 831, 1018, 253, 3914, 578, 7016, 1796, 5039, 580, 15595, 3853, 13975, 1764, 2196, 16, 2157, 21615, 30686, 16, 11002, 17, 680, 974, 1123, 255, 347, 360, 476, 578, 4018, 7829, 1623, 25734, 5322, 15, 20, 802, 47, 186, 10365, 7829, 2510, 25734, 6194, 15, 20, 802, 56, 186, 4018, 13975, 1623, 16, 2157, 21615, 5322, 15, 20, 16, 11002, 17, 2991, 4018, 15, 5322, 186, 14, 10365, 3100, 12914, 2510, 16, 2157, 12512, 12914, 6194, 15, 20, 16, 11002, 17, 2991, 14, 10365, 15, 3240, 186, 1065, 409, 652, 693, 277, 2925, 10822, 17991, 255, 1458, 363, 414, 7348, 3343, 5024, 4858, 72, 68, 15, 3810, 14491, 16, 1532, 84, 16, 27062, 16, 314, 14681, 255, 16871, 24498, 268, 276, 363, 2555, 289, 13919, 345, 253, 4904, 558, 1223, 486, 22681, 289, 1114, 3093, 10071, 276, 253, 2760, 3761, 276, 8640, 831, 314, 5980, 27753, 414, 859, 917, 359, 929, 5316, 11826, 5228, 366, 64, 1504, 7293, 272, 253, 6835, 3865, 289, 917, 313, 7407, 10849, 878, 335, 341, 3865, 255, 344, 9691, 32114, 42, 2173, 672, 461, 326, 5167, 270, 340, 586, 558, 2513, 79, 360, 861, 480, 313, 253, 1576, 314, 23, 270, 10612, 42, 18484, 3366, 626, 186, 1173, 4420, 285, 1223, 32114, 42, 6395, 345, 253, 8946, 4904, 313, 8993, 270, 1065, 409, 1200, 248, 15483, 272, 253, 32114, 42, 2173, 335, 253, 2889, 3187, 335, 248, 1687, 2396, 366, 248, 5473, 272, 248, 6543, 270, 10612, 42, 6395, 409, 326, 285, 1252, 1144, 1042, 289, 345, 433, 13919, 253, 6543, 270, 3811, 253, 6395, 359, 8993, 255, 1129, 409, 11737, 253, 2396, 433, 1018, 253, 2396, 2303, 263, 314, 340, 32114, 42, 2173, 1687, 433, 480, 586, 3774, 285, 253, 1844, 272, 1590, 4707, 18281, 335, 248, 1829, 3865, 270, 1283, 6200, 253, 32114, 42, 2173, 3436, 486, 10423, 255, 4990, 627, 642, 253, 1387, 578, 355, 21716, 1590, 7380, 18281, 448, 929, 251, 345, 248, 2132, 1600, 1018, 248, 2963, 8924, 314, 355, 21716, 1590, 7380, 276, 486, 10423, 448, 929, 251, 345, 248, 2132, 1600, 1018, 248, 2963, 8924, 314, 355, 12739, 253, 6461, 272, 1590, 341, 313, 10093, 285, 486, 10423, 433, 14519, 486, 1461, 4349, 276, 11264, 64, 19, 433, 253, 1461, 4349, 276, 1757, 64, 18, 314, 355, 23025, 32114, 42, 2173, 433, 341, 6461, 5966, 276, 1757, 64, 20, 285, 2774, 486, 32114, 42, 2173, 3436, 486, 10423, 314, 6014, 414, 21510, 536, 5266, 64, 5446, 17, 21019, 3589, 289, 64, 17378, 21019, 3436, 248, 10423, 270, 3136, 849, 1461, 335, 1757, 64, 20, 313, 64, 17378, 16, 5446, 17, 509, 17, 15, 22, 270, 2928, 536, 3322, 10181, 1255, 32114, 42, 1461, 3034, 1284, 335, 849, 3865, 433, 64, 17, 15, 22, 285, 1012, 253, 32114, 42, 2173, 335, 253, 3436, 272, 849, 10423, 314, 7054, 5723, 373, 455, 664, 20303, 356, 42, 27690, 680, 2164, 13919, 253, 797, 6775, 21587, 51, 802, 13754, 255, 2809, 373, 455, 664, 10781, 335, 253, 8993, 32114, 42, 2173, 2141, 270, 340, 731, 373, 455, 664, 1684, 313, 248, 7634, 341, 6462, 7204, 19634, 270, 465, 612, 1909, 255, 1432, 1331, 253, 878, 313, 3465, 642, 270, 340, 21587, 51, 313, 3241, 276, 2377, 272, 2479, 3018, 270, 4141, 1191, 3018, 359, 878, 2436, 1224, 248, 1953, 2479, 272, 253, 878, 313, 1319, 730, 341, 878, 1120, 270, 974, 1123, 255, 344, 64, 643, 380, 2479, 664, 313, 253, 878, 1120, 1224, 64, 643, 2479, 272, 253, 878, 313, 1319, 730, 341, 878, 1120, 270, 465, 277, 21587, 51, 255, 581, 476, 253, 64, 1623, 380, 2479, 664, 289, 253, 64, 3328, 380, 2479, 664, 255, 13050, 271, 1899, 18, 289, 1899, 20, 11919, 270, 340, 21587, 51, 313, 904, 878, 8312, 877, 253, 64, 3328, 380, 2479, 664, 289, 253, 64, 1623, 380, 2479, 664, 255, 247, 612, 1909, 1224, 64, 1489, 2479, 272, 253, 878, 8312, 276, 253, 11733, 270, 600, 3815, 471, 277, 2946, 272, 811, 1331, 6734, 917, 313, 276, 253, 878, 785, 285, 5266, 32114, 42, 2173, 366, 253, 32114, 42, 19467, 270, 340, 2984, 32114, 42, 313, 1687, 965, 255, 1660, 253, 21587, 51, 8868, 471, 904, 612, 32114, 42, 2173, 536, 409, 3748, 285, 1200, 363, 1020, 270, 340, 21587, 51, 8356, 914, 2965, 2811, 7044, 878, 356, 1297, 10849, 878, 795, 8830, 672, 4496, 314, 6014, 414, 340, 2984, 32114, 42, 1461, 335, 253, 2396, 272, 9257, 313, 5966, 285, 326, 186, 23, 15, 23455, 356, 25524, 3773, 78, 14, 19, 3773, 69, 14, 18, 795, 340, 731, 373, 455, 664, 1684, 313, 64, 21, 15, 22, 3547, 356, 25524, 3773, 78, 14, 19, 3773, 69, 14, 18, 406, 864, 64, 25, 15, 4293, 26, 356, 25524, 3773, 78, 14, 19, 3773, 69, 14, 18, 406, 1529, 64, 21, 15, 22, 3547, 313, 1899, 18, 289, 64, 25, 15, 4293, 26, 313, 1899, 20, 11919, 270, 600, 1030, 916, 326, 8993, 363, 2151, 270, 1611, 255, 1489, 2479, 272, 253, 32114, 42, 2173, 276, 9257, 10005, 877, 64, 21, 15, 22, 3547, 289, 64, 25, 15, 4293, 26, 356, 25524, 3773, 78, 14, 19, 3773, 69, 14, 18, 1436, 1283, 19262, 253, 21587, 51, 255, 66, 3761, 6875, 313, 785, 270, 600, 313, 4533, 1724, 363, 248, 3761, 289, 434, 4895, 391, 6875, 270, 4181, 253, 1123, 3761, 6875, 270, 34, 3146, 5316, 7044, 554, 32114, 42, 2173, 335, 650, 2396, 476, 838, 25531, 345, 248, 3761, 6875, 270, 959, 409, 1200, 341, 253, 21587, 51, 313, 877, 64, 1298, 289, 64, 2296, 15, 22, 255, 344, 797, 29748, 802, 262, 64, 24, 15, 22, 255, 344, 11929, 313, 1591, 64, 1456, 255, 332, 253, 797, 24540, 802, 262, 1591, 64, 2599, 314, 5969, 270, 18, 1019, 10612, 42, 19467, 186, 579, 66, 551, 255, 43, 270, 38, 1353, 332, 876, 270, 10736, 260, 270, 993, 25, 3275, 25182, 12304, 10538, 1398, 414, 34, 3818, 7247, 289, 7815, 20275, 462, 2127, 272, 253, 2886, 2900, 2106, 41, 441, 9836, 64, 6826, 9, 26, 6382, 9963, 17, 14, 9963, 24, 314, 5969, 270, 19, 1019, 10612, 42, 19467, 186, 7543, 313, 1156, 285, 5029, 341, 253, 1844, 272, 1590, 11263, 3017, 253, 2309, 26840, 276, 248, 10423, 672, 326, 877, 11902, 64, 2055, 289, 64, 2157, 2479, 272, 253, 1844, 272, 1590, 11263, 345, 277, 1994, 2035, 9687, 285, 253, 10423, 270, 340, 4394, 2173, 3586, 345, 253, 1314, 9760, 8408, 85, 559, 255, 344, 10423, 10543, 1265, 255, 344, 3519, 9749, 255, 7299, 253, 1314, 9760, 313, 12576, 375, 5384, 927, 290, 255, 344, 1844, 272, 6701, 3745, 255, 332, 596, 270, 16096, 23474, 254, 20638, 1306, 36, 254, 858, 19525, 18092, 12, 12416, 6024, 7484, 254, 409, 5266, 5167, 32114, 42, 2173, 3436, 3907, 23386, 255, 1815, 5210, 6962, 16161, 255, 332, 3519, 448, 8442, 15, 1, 93, 18, 414, 329, 1304, 1217, 2499, 19, 414, 329, 1304, 1217, 375, 3806, 186, 20, 414, 329, 1304, 28043, 186, 25, 414, 14575, 1230, 78, 186, 465, 79, 369, 1115, 414, 25, 186, 26822, 414, 12496, 356, 25, 8131, 680, 16329, 272, 937, 414, 9204, 356, 22, 11112, 8032, 680, 37, 3397, 414, 18, 5801, 5646, 186, 5087, 64, 19, 1943, 186, 18203, 414, 4691, 2271, 717, 186, 2531, 512, 3837, 414, 9384, 186, 17329, 414, 465, 253, 3938, 272, 632, 1602, 25657, 921, 11362, 1363, 253, 1666, 272, 937, 255, 344, 2721, 15265, 272, 253, 259, 2390, 313, 5135, 433, 64, 1489, 9933, 340, 259, 2390, 409, 1230, 78, 725, 285, 7429, 1055, 186, 73, 264, 284, 279, 446, 2390, 1115, 276, 11362, 314, 355, 340, 276, 3689, 645, 13730, 5848, 3276, 341, 480, 13730, 19149, 650, 5801, 604, 1115, 255, 772, 396, 2876, 19149, 650, 5801, 604, 871, 356, 68, 2390, 406, 30530, 314, 355, 1316, 7064, 255, 1662, 13730, 19149, 64, 18, 5801, 604, 259, 2390, 1115, 255, 822, 313, 13183, 753, 596, 730, 7429, 253, 1602, 14, 1756, 1930, 4169, 448, 9107, 259, 2390, 1943, 314, 355, 10249, 905, 1230, 78, 27787, 480, 13730, 409, 1230, 78, 6285, 5624, 289, 556, 1788, 717, 314, 355, 340, 1925, 953, 6161, 25657, 921, 1045, 4993, 326, 24514, 270, 12019, 345, 452, 87, 49, 5703, 255, 344, 13730, 409, 1836, 3267, 272, 253, 259, 2390, 709, 6472, 276, 253, 1666, 272, 937, 289, 253, 259, 2390, 255, 8911, 314, 355, 600, 13730, 914, 6340, 1391, 6729, 255, 2919, 1960, 800, 5848, 3992, 953, 19093, 862, 10911, 355, 3451, 7789, 285, 253, 276, 3689, 645, 5848, 255, 344, 3560, 345, 6957, 18626, 313, 650, 1319, 730, 7429, 253, 259, 2390, 1115, 314, 355, 21765, 84, 891, 5286, 253, 13730, 375, 1039, 556, 22602, 1804, 1366, 2215, 253, 19062, 3560, 314, 355, 21963, 329, 1075, 775, 253, 3782, 272, 480, 13730, 558, 8534, 248, 1926, 1204, 21866, 285, 556, 10408, 586, 11760, 2806, 356, 347, 640, 1039, 650, 406, 2446, 7993, 556, 5048, 270, 600, 2340, 1633, 341, 7937, 359, 12526, 64, 1204, 10247, 999, 253, 5699, 709, 1461, 406, 247, 253, 8852, 709, 5589, 314, 12808, 2143, 5593, 21796, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1316, 532, 15183, 276, 30962, 25877, 64, 2055, 8731, 18298, 255, 42, 7709, 1249, 892, 8774, 3412, 2039, 369, 697, 1249, 2353, 6008, 270, 4007, 2322, 2859, 14799, 360, 939, 1409, 248, 4287, 9236, 12393, 469, 270, 2318, 558, 870, 5192, 34, 4287, 9236, 911, 1099, 1109, 248, 4287, 9236, 476, 285, 582, 366, 2353, 2392, 911, 20541, 255, 42, 543, 7407, 2232, 314, 42, 543, 342, 1165, 80, 3203, 268, 335, 1233, 289, 543, 15474, 285, 6649, 1249, 3940, 272, 64, 643, 8731, 270, 42, 1168, 253, 8962, 1150, 341, 861, 532, 2371, 276, 596, 5119, 255, 42, 916, 300, 547, 596, 9737, 255, 549, 532, 1168, 838, 3463, 9675, 21934, 453, 4719, 24813, 4586, 2799, 255, 864, 2353, 19795, 255, 864, 991, 7380, 31605, 725, 285, 871, 2954, 604, 1600, 270, 42, 652, 8105, 285, 3033, 1392, 345, 32522, 1488, 255, 772, 11194, 725, 2507, 12955, 272, 275, 13490, 255, 11815, 433, 22221, 1262, 532, 1168, 6796, 642, 705, 1331, 270, 1507, 3322, 5040, 1249, 2023, 285, 1352, 1565, 4498, 585, 285, 5119, 13578, 6649, 64, 2055, 8731, 363, 248, 2097, 937, 314, 465, 253, 3008, 255, 16368, 2726, 6599, 276, 556, 20221, 267, 1075, 366, 64, 19, 2795, 19762, 272, 1071, 244, 3570, 271, 775, 556, 8954, 270, 1245, 470, 445, 26720, 844, 253, 28690, 255, 2853, 285, 9675, 31605, 844, 17173, 39, 264, 289, 4539, 3068, 363, 1285, 797, 11143, 802, 21371, 375, 797, 16693, 802, 21371, 270, 1507, 276, 9683, 255, 42, 916, 1200, 1689, 3274, 2659, 5338, 11604, 289, 309, 606, 815, 255, 5467, 285, 20221, 5187, 289, 461, 8092, 818, 1071, 366, 556, 11296, 314, 673, 12076, 285, 585, 844, 253, 1030, 1895, 697, 2353, 2392, 276, 253, 3008, 543, 4008, 366, 3473, 1329, 4310, 255, 772, 20180, 7407, 289, 17282, 313, 253, 2769, 270, 919, 409, 536, 15274, 315, 2023, 248, 3229, 8705, 799, 536, 6989, 1350, 2699, 3315, 255, 4990, 1723, 289, 10111, 366, 849, 244, 598, 1005, 879, 859, 532, 543, 285, 3338, 2659, 276, 253, 3008, 341, 9630, 1109, 2286, 713, 596, 1528, 272, 248, 1689, 3274, 1352, 730, 991, 7380, 2799, 255, 1449, 7372, 2128, 532, 543, 25306, 270, 1507, 253, 3376, 313, 255, 2446, 396, 3218, 285, 486, 1352, 255, 2750, 5119, 6273, 7367, 1676, 596, 9737, 270, 859, 4599, 255, 7151, 1865, 285, 13474, 4121, 2829, 360, 285, 9930, 285, 486, 1352, 289, 409, 1357, 285, 7104, 13766, 1340, 1319, 255, 332, 10091, 461, 2232, 360, 409, 1979, 799, 5951, 19556, 4121, 285, 1012, 248, 1953, 943, 314, 5295, 461, 18965, 335, 3203, 391, 276, 253, 3008, 285, 2128, 341, 253, 914, 1119, 285, 326, 3229, 313, 285, 4097, 833, 332, 2001, 3357, 15384, 366, 3497, 4511, 2430, 28154, 270, 1507, 861, 16386, 461, 2799, 335, 253, 25211, 752, 375, 11079, 248, 1352, 8992, 255, 1660, 904, 313, 396, 16386, 2552, 335, 911, 959, 1599, 285, 1900, 4287, 289, 4097, 19697, 255, 8911, 270, 1696, 532, 812, 4384, 1575, 314, 673, 620, 838, 6936, 1233, 2790, 341, 965, 8565, 366, 1249, 8774, 3412, 2039, 369, 255, 332, 1657, 10886, 248, 1095, 23268, 366, 248, 4713, 276, 13551, 289, 9777, 8705, 1536, 3380, 270, 2467, 359, 2172, 2018, 532, 5704, 341, 360, 409, 2584, 721, 486, 8705, 285, 1012, 3229, 1655, 1285, 3617, 578, 18, 270, 859, 360, 6233, 844, 248, 2026, 80, 269, 6031, 2213, 255, 16947, 1900, 844, 248, 2026, 80, 269, 6031, 2213, 314, 340, 965, 4306, 532, 12104, 4384, 461, 697, 904, 360, 582, 255, 772, 811, 360, 582, 396, 543, 799, 532, 6445, 248, 2026, 80, 269, 6031, 1954, 9871, 79, 4429, 335, 253, 965, 720, 270, 8196, 80, 269, 6031, 9903, 20561, 20286, 255, 1201, 531, 632, 8347, 3463, 9675, 2799, 705, 640, 409, 12791, 289, 7059, 556, 6391, 3351, 270, 1245, 476, 248, 3004, 18475, 255, 11815, 433, 248, 31461, 289, 1232, 14151, 725, 289, 9918, 276, 253, 16238, 314, 17274, 255, 42, 1168, 838, 21934, 844, 25306, 289, 396, 1509, 585, 1979, 883, 21806, 270, 19808, 272, 811, 3229, 1249, 11296, 724, 255, 42, 916, 4097, 596, 730, 532, 2635, 1655, 29439, 396, 270, 3136, 532, 7372, 1979, 15624, 453, 253, 19039, 289, 4025, 453, 253, 10014, 255, 549, 532, 7372, 873, 285, 5344, 270, 2164, 650, 1648, 255, 42, 543, 3519, 4351, 289, 338, 353, 2567, 255, 772, 532, 543, 652, 6299, 248, 4943, 3395, 272, 2964, 345, 1559, 272, 632, 272, 253, 4351, 314, 2080, 1119, 360, 409, 3338, 861, 5951, 806, 24317, 486, 19039, 313, 861, 360, 1140, 4121, 5069, 1111, 307, 751, 270, 4862, 78, 7890, 6704, 285, 486, 1352, 341, 797, 24564, 313, 17473, 2106, 549, 4384, 2792, 1506, 3724, 15465, 253, 2964, 345, 486, 1352, 335, 1606, 270, 1507, 861, 5951, 2688, 268, 486, 1352, 642, 255, 292, 6907, 433, 2826, 5519, 335, 7530, 255, 1660, 5951, 2237, 29236, 486, 1352, 285, 693, 2782, 17852, 276, 253, 831, 272, 17893, 270, 1611, 255, 8584, 1915, 799, 360, 873, 2137, 289, 3338, 486, 11441, 3909, 461, 285, 4482, 285, 360, 2658, 14030, 1168, 2232, 285, 4097, 1262, 5951, 705, 21992, 360, 1109, 21112, 4097, 486, 6249, 1042, 911, 7765, 359, 1415, 24523, 341, 5951, 806, 24317, 396, 314, 19, 270, 5973, 486, 1352, 4025, 314, 34, 4402, 1352, 313, 248, 5433, 1352, 270, 34, 4025, 1352, 313, 248, 3534, 1352, 270, 1132, 313, 248, 2049, 1747, 1454, 10070, 7010, 341, 8749, 2901, 6281, 1331, 276, 253, 3008, 270, 20639, 255, 7002, 697, 811, 253, 3559, 276, 696, 1454, 11214, 3815, 396, 248, 1953, 2505, 272, 1606, 285, 3845, 255, 822, 313, 1232, 11888, 285, 471, 799, 536, 4097, 270, 32274, 341, 1334, 276, 253, 4287, 6328, 5316, 359, 2621, 9097, 255, 549, 640, 870, 486, 1352, 857, 18912, 285, 253, 2833, 270, 1696, 3845, 341, 1334, 276, 253, 6552, 5316, 356, 1901, 3668, 8108, 406, 505, 2621, 8260, 289, 1378, 3189, 285, 253, 1352, 314, 51, 1088, 3845, 359, 2621, 3229, 289, 16580, 5392, 363, 657, 272, 248, 3229, 3203, 276, 253, 3008, 270, 32274, 844, 7939, 3126, 8015, 255, 1950, 8108, 255, 4957, 22677, 397, 1509, 366, 7939, 8349, 289, 7939, 28618, 632, 2904, 721, 480, 7175, 270, 1294, 359, 3229, 289, 21780, 4371, 255, 772, 448, 253, 1112, 720, 255, 347, 360, 359, 5338, 1798, 1331, 255, 264, 409, 326, 2621, 1798, 9097, 285, 253, 1352, 270, 5295, 461, 18965, 335, 945, 285, 1979, 2964, 330, 4356, 255, 292, 248, 943, 314, 6531, 360, 3697, 10500, 285, 248, 6074, 21663, 289, 12094, 248, 7939, 31100, 911, 32184, 461, 270, 11864, 1262, 276, 253, 8114, 255, 4983, 3203, 6273, 3003, 1331, 272, 7939, 3845, 1262, 360, 1599, 285, 1927, 486, 1352, 4025, 270, 859, 360, 18945, 2507, 7939, 3126, 8015, 255, 1660, 2576, 1271, 323, 3832, 271, 255, 2563, 8300, 255, 303, 1373, 271, 375, 275, 10613, 8108, 359, 21985, 519, 15301, 314, 20, 270, 12473, 7575, 1071, 366, 11296, 314, 465, 253, 3008, 255, 7290, 1263, 71, 3832, 375, 21663, 360, 873, 285, 558, 5618, 360, 4719, 1071, 270, 17742, 871, 4170, 480, 916, 326, 8709, 1392, 3017, 276, 253, 8114, 414, 3888, 255, 3106, 4384, 4402, 289, 360, 1599, 285, 1927, 486, 1352, 4025, 270, 340, 612, 2338, 313, 341, 1071, 797, 69, 16118, 486, 11374, 14038, 2106, 822, 2434, 396, 2261, 285, 7775, 486, 3845, 270, 465, 253, 1280, 272, 2554, 255, 1662, 1633, 341, 1071, 558, 8990, 986, 253, 16436, 272, 486, 7672, 3039, 255, 822, 2434, 396, 2901, 2205, 335, 486, 1352, 285, 3084, 1392, 3845, 314, 465, 9683, 255, 2154, 945, 558, 476, 27121, 366, 11296, 270, 1696, 1350, 861, 640, 3711, 255, 1449, 558, 2340, 461, 7575, 366, 556, 11296, 270, 673, 313, 1354, 255, 2691, 255, 864, 476, 783, 4025, 11644, 1253, 248, 10014, 314, 465, 253, 3008, 255, 42, 9014, 1200, 3203, 268, 6813, 2976, 3799, 945, 285, 7575, 596, 1071, 255, 772, 4010, 272, 3728, 272, 8092, 596, 15243, 272, 1071, 255, 1129, 939, 326, 3728, 272, 2507, 596, 3845, 341, 359, 7206, 8341, 276, 486, 3203, 270, 600, 1109, 1676, 6299, 4985, 1969, 366, 486, 11296, 255, 263, 2507, 3497, 4511, 10762, 4010, 272, 275, 10613, 10762, 270, 673, 652, 1633, 3353, 642, 4599, 31426, 8341, 255, 1901, 18090, 453, 9456, 289, 3603, 605, 292, 270, 1611, 255, 2003, 396, 313, 2987, 360, 777, 285, 4458, 27077, 255, 27080, 2507, 1071, 335, 877, 11296, 4010, 272, 366, 713, 270, 1038, 1000, 285, 7206, 8341, 3845, 1305, 11296, 4010, 314, 21, 270, 6187, 4287, 9236, 84, 314, 465, 2326, 285, 24013, 8064, 5804, 255, 10682, 9236, 84, 409, 2022, 10314, 255, 822, 3036, 366, 14592, 289, 21780, 268, 882, 486, 22437, 270, 465, 9683, 255, 6890, 558, 1409, 248, 797, 21005, 9236, 2106, 822, 1633, 360, 6162, 253, 7510, 2658, 396, 14106, 1215, 775, 486, 2376, 1666, 861, 360, 724, 285, 326, 11945, 276, 253, 7510, 270, 859, 360, 6162, 253, 7510, 1861, 486, 2376, 1115, 255, 264, 409, 2371, 2302, 345, 486, 2376, 270, 1611, 255, 1449, 2798, 396, 314, 24319, 313, 652, 1156, 270, 3258, 945, 705, 553, 276, 248, 9236, 341, 313, 877, 64, 1504, 285, 64, 13662, 5039, 22734, 270, 340, 2330, 313, 2512, 285, 2022, 486, 10314, 1655, 806, 67, 2766, 486, 1352, 270, 22275, 9236, 84, 652, 7459, 360, 1485, 5344, 255, 549, 705, 1102, 276, 248, 4287, 7510, 409, 2022, 253, 2260, 272, 486, 3052, 314, 859, 360, 476, 914, 3697, 3101, 341, 2353, 2392, 3218, 453, 10111, 276, 6584, 270, 4124, 1871, 642, 255, 1660, 755, 5996, 1560, 3458, 248, 3783, 9107, 270, 1507, 799, 2889, 9072, 272, 945, 359, 5338, 1020, 289, 2507, 10088, 5383, 363, 248, 943, 272, 755, 5996, 255, 2003, 5951, 12162, 10111, 289, 15248, 4121, 448, 253, 22019, 255, 264, 6989, 14441, 285, 2286, 396, 248, 2415, 15, 1, 355, 1132, 359, 929, 1616, 3288, 314, 355, 34, 4799, 672, 326, 1309, 381, 2389, 253, 32236, 325, 341, 313, 244, 8894, 285, 253, 27656, 375, 2336, 16803, 314, 22975, 289, 14424, 186, 355, 1065, 672, 2768, 285, 486, 2642, 3203, 289, 1590, 2057, 255, 292, 7090, 483, 255, 4922, 5055, 1175, 2798, 7253, 1894, 345, 28414, 5278, 1906, 6684, 314, 355, 4861, 2798, 818, 6391, 19795, 596, 730, 64, 728, 16217, 375, 338, 865, 8582, 2333, 2292, 18495, 335, 2032, 2449, 289, 1232, 10261, 1329, 721, 486, 3152, 2057, 314, 355, 1038, 11224, 1020, 27077, 313, 5143, 285, 870, 9365, 1264, 253, 9923, 289, 25489, 2634, 818, 1773, 13508, 375, 14405, 10713, 314, 355, 859, 248, 4799, 620, 838, 2299, 7557, 285, 277, 4182, 31084, 255, 6212, 1409, 1825, 1565, 285, 2798, 25084, 19908, 345, 253, 4799, 314, 355, 4636, 7393, 25977, 6684, 942, 363, 4173, 3870, 566, 2123, 258, 319, 356, 17548, 2742, 25571, 406, 263, 1602, 4030, 15886, 4597, 15879, 4705, 356, 451, 86, 19893, 258, 255, 25781, 8651, 255, 20973, 307, 255, 34, 286, 301, 406, 2251, 326, 785, 861, 2635, 335, 1906, 363, 9216, 314, 355, 11493, 6684, 672, 1540, 7332, 302, 1064, 356, 85, 4998, 336, 23759, 406, 10683, 315, 289, 525, 264, 936, 260, 356, 13397, 772, 1918, 247, 406, 292, 2635, 335, 31084, 12679, 7233, 2336, 13750, 19379, 5519, 289, 14757, 477, 27057, 270, 20009, 3939, 1496, 356, 13737, 2130, 2546, 3939, 473, 406, 292, 2635, 672, 326, 5143, 335, 17969, 10156, 1960, 9829, 4399, 480, 6694, 1528, 276, 6883, 13438, 9923, 341, 1560, 9590, 11697, 314, 355, 4861, 2798, 1602, 4030, 15886, 4597, 15879, 4705, 375, 818, 612, 1704, 6027, 3580, 861, 486, 9923, 313, 1199, 1704, 90, 2658, 253, 10713, 620, 5135, 314, 23373, 360, 939, 1713, 186, 355, 8149, 758, 4386, 6291, 314, 355, 5213, 1906, 461, 5739, 433, 6232, 6694, 314, 355, 25076, 990, 1828, 1906, 314, 355, 3444, 1013, 265, 31084, 8139, 314, 355, 10662, 6854, 10156, 366, 2976, 1405, 314, 355, 465, 1202, 285, 2976, 3414, 314, 355, 497, 1000, 1704, 276, 253, 9923, 356, 13231, 285, 4588, 5641, 28905, 375, 25906, 11789, 1436, 355, 5213, 6008, 375, 1800, 255, 6212, 2893, 471, 448, 356, 24, 1626, 406, 4355, 20, 14, 14589, 18, 30460, 314, 1065, 939, 326, 18418, 335, 248, 1833, 14, 9165, 13242, 335, 31084, 8139, 697, 64, 20, 14, 24, 1387, 5055, 270, 4861, 1282, 356, 24, 1626, 406, 4355, 20, 14, 14589, 18, 285, 5418, 720, 289, 3865, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 673, 313, 4733, 64, 2253, 15890, 64, 993, 24, 255, 523, 27, 3841, 474, 1984, 21067, 17215, 18824, 20774, 474, 8160, 10792, 360, 335, 1018, 253, 19154, 956, 1662, 4919, 1810, 409, 6200, 486, 2274, 289, 2122, 596, 2439, 2084, 270, 959, 476, 5658, 6513, 360, 285, 18824, 20774, 9063, 3629, 4805, 909, 12808, 1076, 186, 475, 4583, 474, 581, 558, 5792, 892, 2084, 341, 6052, 486, 1115, 1625, 345, 486, 566, 7224, 6248, 474, 23474, 474, 7290, 3425, 255, 581, 3738, 6369, 360, 277, 6107, 18903, 5694, 1625, 345, 486, 2274, 474, 14163, 186, 49, 765, 474, 581, 558, 5792, 892, 2084, 341, 6052, 486, 1115, 1625, 345, 486, 566, 7224, 6248, 474, 960, 29071, 1790, 13480, 18393, 474, 29333, 29071, 1790, 13480, 18393, 276, 8802, 186, 8244, 11298, 9093, 30103, 474, 1984, 7054, 15538, 474, 643, 13677, 64, 971, 21, 255, 1499, 27, 6923, 186, 18, 186, 44, 15109, 4253, 186, 22, 186, 600, 1833, 543, 186, 18074, 14306, 23985, 44, 3248, 186, 523, 27, 523, 474, 23635, 1942, 1623, 10247, 25774, 1613, 6456, 938, 1921, 1942, 9051, 10247, 6858, 27, 3086, 406, 17133, 64, 2599, 10247, 4860, 27, 6826, 406, 32439, 1625, 345, 64, 15147, 9273, 474, 1984, 30378, 7054, 19154, 14352, 474, 7833, 935, 30485, 270, 9772, 4707, 1069, 9299, 276, 4062, 1929, 345, 1408, 12327, 272, 12175, 2445, 6575, 255, 484, 272, 696, 1654, 1168, 5580, 335, 253, 2889, 935, 270, 859, 1654, 1168, 1168, 64, 1058, 596, 12327, 272, 253, 6575, 2121, 935, 255, 3977, 916, 476, 4707, 5, 1204, 596, 276, 2468, 7130, 4062, 1929, 270, 919, 1021, 12327, 272, 253, 6575, 1822, 1654, 476, 2121, 935, 2549, 9176, 406, 12696, 186, 14911, 406, 10069, 186, 18485, 406, 18414, 186, 22049, 406, 14668, 186, 25833, 406, 971, 186, 60, 3030, 301, 265, 2053, 2531, 7561, 254, 414, 22578, 186, 6078, 48, 186, 14235, 414, 7020, 4584, 64, 971, 20, 186, 13194, 414, 5276, 20, 186, 3030, 414, 7833, 935, 30485, 270, 9772, 4707, 1069, 9299, 276, 4062, 1929, 345, 1408, 12327, 31992, 19280, 2053, 1984, 7054, 15538, 64, 643, 13677, 64, 971, 21, 255, 1204, 27, 5744, 416, 64, 18, 270, 13482, 986, 341, 861, 917, 724, 64, 1058, 596, 12327, 289, 64, 1204, 596, 12357, 255, 344, 12327, 359, 5451, 596, 730, 248, 17001, 248, 3412, 255, 549, 917, 916, 476, 285, 326, 1319, 730, 64, 9299, 270, 36, 30136, 642, 259, 255, 69, 255, 70, 270, 19, 270, 2928, 917, 359, 448, 2082, 1464, 2192, 272, 3463, 396, 255, 484, 272, 696, 3586, 345, 891, 360, 359, 289, 811, 360, 2128, 270, 20945, 2371, 363, 1021, 2151, 363, 532, 409, 2128, 272, 956, 42, 2128, 12913, 632, 6071, 289, 840, 2248, 417, 270, 7685, 956, 347, 5951, 11160, 720, 3851, 335, 253, 905, 12692, 1119, 255, 1129, 1109, 326, 1215, 543, 1003, 720, 255, 2470, 861, 360, 812, 811, 285, 582, 396, 6960, 980, 270, 15840, 64, 18, 414, 16305, 64, 9299, 21946, 580, 14668, 12803, 89, 12, 1058, 406, 11864, 1262, 973, 6575, 313, 5451, 253, 1112, 255, 549, 861, 360, 8591, 253, 64, 9299, 433, 253, 966, 272, 12327, 255, 263, 64, 14668, 433, 253, 966, 272, 12327, 8982, 64, 1058, 255, 1129, 1012, 253, 1112, 2428, 270, 14768, 335, 1422, 580, 12696, 270, 15840, 64, 19, 414, 1058, 596, 12327, 1770, 5, 1204, 255, 549, 341, 1633, 973, 650, 1770, 1069, 18, 15, 1623, 270, 1611, 64, 9299, 16, 18, 15, 1623, 270, 1283, 582, 480, 3722, 255, 27062, 64, 18, 15, 1623, 721, 64, 22, 16, 21, 356, 42, 27467, 19097, 25067, 11954, 15993, 19730, 2928, 14030, 4755, 64, 9299, 12803, 22, 16, 21, 2991, 9299, 89, 21, 16, 22, 580, 3523, 89, 21, 580, 12696, 270, 15840, 64, 20, 414, 3811, 14030, 25375, 271, 259, 13, 69, 13, 70, 255, 1129, 409, 11035, 276, 248, 375, 275, 289, 1200, 904, 4955, 270, 2080, 558, 867, 289, 650, 12313, 255, 772, 2518, 1119, 255, 4922, 1215, 650, 720, 882, 255, 16947, 476, 486, 2428, 270, 26675, 18506, 1142, 414, 6969, 14483, 64, 971, 24, 7949, 84, 414, 3547, 3348, 414, 1038, 3899, 31992, 19280, 2053, 1984, 7054, 15538, 64, 1204, 14483, 64, 971, 24, 255, 1204, 27, 2510, 64, 18, 8052, 1833, 4707, 1028, 15109, 4253, 21895, 563, 72, 8825, 6620, 414, 7833, 935, 30485, 270, 9772, 4707, 5, 9299, 276, 4062, 1929, 345, 1408, 12327, 272, 12175, 2445, 6575, 255, 484, 272, 696, 1654, 1168, 5580, 335, 253, 2889, 935, 270, 859, 1654, 1168, 1168, 64, 1058, 596, 12327, 272, 253, 6575, 2121, 935, 255, 3977, 916, 476, 4707, 1069, 1204, 596, 276, 2468, 7130, 4062, 1929, 270, 919, 1021, 12327, 272, 253, 6575, 1822, 1654, 476, 2121, 935, 10405, 34, 406, 12696, 356, 35, 406, 10069, 356, 36, 406, 18414, 356, 37, 406, 14668, 356, 38, 406, 971, 416, 956, 12696, 5, 1204, 335, 64, 1058, 12327, 956, 6317, 1069, 18, 15, 1623, 604, 3412, 956, 549, 64, 9299, 16, 18, 15, 1623, 580, 12696, 393, 28085, 18506, 1142, 414, 3019, 17635, 64, 971, 24, 7949, 84, 414, 30757, 20, 3348, 414, 1038, 3899, 31992, 19280, 2053, 1984, 7054, 15538, 64, 1204, 14483, 64, 971, 24, 255, 1204, 27, 1912, 64, 18, 8052, 1833, 543, 32173, 14306, 23985, 44, 3248, 21895, 563, 72, 8825, 6620, 414, 7833, 935, 30485, 270, 9772, 4707, 5, 9299, 276, 4062, 1929, 345, 1408, 12327, 272, 12175, 2445, 6575, 255, 484, 272, 696, 1654, 1168, 5580, 335, 253, 2889, 935, 270, 859, 1654, 1168, 1168, 64, 1058, 596, 12327, 272, 253, 6575, 2121, 935, 255, 3977, 916, 476, 4707, 1069, 1204, 596, 276, 2468, 7130, 4062, 1929, 270, 919, 1021, 12327, 272, 253, 6575, 1822, 1654, 476, 2121, 935, 10405, 34, 406, 12696, 356, 35, 406, 10069, 356, 36, 406, 18414, 356, 37, 406, 14668, 356, 38, 406, 971, 416, 270, 12696, 64, 9299, 15599, 580, 14668, 12803, 79, 12, 1058, 406, 89, 580, 12696, 30541, 13148, 18506, 1142, 414, 1428, 17635, 64, 971, 26, 7949, 84, 414, 2644, 24, 29548, 414, 13710, 2329, 21496, 414, 10082, 5911, 3348, 414, 17551, 6884, 31992, 19280, 2053, 1984, 7054, 15538, 64, 2253, 14483, 64, 971, 26, 255, 7638, 27, 5276, 3044, 330, 3367, 6620, 414, 332, 2096, 11631, 7486, 1999, 30485, 12744, 620, 953, 79, 1045, 2210, 4197, 272, 12175, 2445, 270, 16505, 531, 313, 8403, 345, 253, 3468, 272, 253, 966, 272, 12327, 5580, 335, 248, 1953, 7809, 356, 714, 650, 935, 406, 1660, 28695, 604, 3412, 313, 64, 9299, 15599, 270, 82, 3992, 341, 861, 1654, 1168, 64, 1058, 596, 12327, 1654, 916, 1168, 4755, 64, 1204, 1635, 2750, 314, 549, 64, 9299, 15599, 5515, 9299, 12, 1204, 16730, 79, 12, 1058, 795, 84, 5639, 480, 536, 1012, 309, 30, 12696, 314, 20179, 49, 186, 14235, 414, 1428, 21900, 64, 971, 25, 186, 13194, 414, 10288, 21, 186, 17263, 414, 48, 16379, 2101, 4642, 8630, 186, 27595, 414, 16941, 22484, 3899, 474, 1984, 7054, 15538, 474, 2253, 14483, 64, 971, 26, 255, 728, 27, 4355, 474, 1984, 7054, 15538, 474, 2791, 21900, 64, 993, 22, 255, 8245, 27, 3841, 186, 17592, 453, 253, 18903, 17215, 538, 2882, 26078, 9227, 9170, 285, 1750, 18903, 17215, 5182, 255, 42, 476, 1215, 5702, 480, 6108, 4161, 255, 8443, 396, 1168, 929, 4628, 335, 806, 248, 935, 270, 42, 881, 1657, 275, 19635, 396, 725, 956, 24317, 1249, 3393, 270, 42, 2128, 360, 672, 1140, 396, 6108, 356, 1638, 1288, 4616, 397, 366, 1028, 14946, 8166, 22180, 285, 1200, 632, 612, 5126, 532, 1961, 642, 911, 6137, 585, 356, 7688, 1025, 6543, 345, 7915, 795, 1065, 558, 4475, 248, 7843, 272, 632, 5126, 532, 26323, 276, 486, 7915, 1666, 363, 1020, 363, 3629, 4805, 314, 1722, 8489, 21067, 17215, 11400, 531, 186, 14235, 414, 7020, 14669, 64, 993, 20, 186, 13194, 414, 19652, 1212, 186, 3030, 414, 7833, 935, 30485, 270, 9772, 4707, 1069, 9299, 276, 4062, 1929, 345, 1408, 12327, 31992, 19280, 2053, 1984, 7054, 15538, 64, 1912, 15890, 64, 993, 23, 255, 6969, 27, 6923, 610, 13129, 453, 253, 18903, 17215, 538, 2882, 26078, 1890, 9170, 285, 1750, 18903, 17215, 5182, 255, 42, 476, 1215, 5702, 480, 6108, 4161, 255, 8443, 396, 1168, 929, 4628, 335, 806, 248, 935, 270, 42, 881, 1657, 275, 19635, 396, 725, 956, 24317, 1249, 3393, 270, 42, 2128, 360, 672, 1140, 396, 6108, 356, 1638, 1288, 4616, 397, 366, 1028, 14946, 795, 22180, 285, 1200, 632, 612, 5126, 532, 1961, 642, 911, 6137, 585, 356, 7688, 1025, 6543, 345, 7915, 795, 1065, 558, 4475, 248, 7843, 272, 632, 5126, 532, 26323, 276, 486, 7915, 1666, 363, 1020, 363, 3629, 4805, 270, 30827, 3030, 414, 7833, 935, 30485, 270, 9772, 4707, 5, 9299, 276, 4062, 1929, 345, 1408, 12327, 64, 704, 31992, 19280, 2053, 1912, 15890, 64, 993, 23, 255, 6969, 27, 6923, 186, 6114, 5126, 3348, 15508, 21236, 1833, 186, 6114, 186, 23492, 578, 1058, 27157, 253, 2172, 1233, 341, 30485, 270, 45, 2090, 91, 17555, 1408, 1152, 255, 3977, 273, 278, 64, 728, 64, 1456, 14483, 64, 993, 23, 255, 7020, 27, 8697, 186, 1551, 21236, 935, 3153, 26073, 4707, 64, 2791, 2846, 3202, 4827, 270, 3500, 272, 1055, 965, 64, 23, 64, 1456, 64, 6858, 7364, 64, 993, 23, 255, 2296, 27, 7982, 186, 28338, 21236, 935, 253, 4044, 604, 3412, 272, 23448, 2445, 2650, 433, 564, 64, 2644, 64, 1058, 5620, 64, 993, 24, 255, 1626, 27, 6194, 186, 2950, 21236, 935, 253, 4044, 604, 3412, 272, 23448, 2445, 2650, 433, 564, 604, 68, 64, 25, 64, 728, 15890, 64, 993, 20, 255, 2253, 27, 3982, 186, 23, 21236, 935, 253, 4044, 604, 3412, 272, 23448, 2445, 2650, 433, 564, 64, 22, 64, 2510, 4584, 64, 993, 20, 255, 7982, 27, 4018, 186, 19940, 10393, 453, 2643, 414, 21057, 433, 1, 859, 360, 476, 3697, 25485, 797, 2251, 532, 25489, 480, 1392, 1249, 19695, 2106, 1660, 253, 2428, 313, 3763, 2195, 248, 524, 16741, 797, 10663, 6113, 859, 396, 6484, 1197, 1391, 4678, 375, 19695, 1854, 255, 1660, 396, 1147, 461, 6678, 276, 486, 19695, 314, 1099, 20163, 84, 272, 20994, 7328, 12781, 566, 627, 285, 7332, 2417, 18011, 253, 5399, 664, 85, 879, 5512, 25489, 632, 6193, 272, 2018, 1392, 253, 19695, 341, 5261, 582, 461, 6678, 917, 270, 2124, 272, 253, 596, 1354, 2018, 341, 1012, 990, 10652, 341, 20781, 1197, 1540, 578, 355, 35, 14010, 269, 23543, 186, 355, 39, 19178, 473, 13080, 2624, 186, 355, 16795, 18340, 31461, 12777, 186, 355, 17716, 12816, 1847, 186, 355, 10617, 4678, 186, 355, 24058, 289, 1745, 568, 186, 3013, 359, 5399, 664, 85, 11646, 289, 32338, 5530, 15210, 409, 10585, 276, 7249, 5399, 664, 85, 879, 340, 16759, 1116, 289, 482, 8576, 1716, 3068, 724, 14608, 3128, 366, 253, 9188, 272, 4467, 1391, 4678, 453, 650, 1666, 285, 1750, 11573, 289, 1655, 28466, 2165, 285, 396, 270, 2318, 313, 2096, 396, 313, 2195, 3399, 285, 25489, 1391, 4678, 1392, 253, 19695, 314, 1283, 664, 1116, 289, 253, 482, 8576, 289, 30498, 1716, 640, 359, 7557, 285, 359, 914, 3128, 285, 6786, 1391, 4678, 289, 19695, 1854, 314, 1283, 664, 85, 1854, 543, 3128, 276, 942, 248, 1119, 341, 396, 3722, 11054, 1392, 721, 20162, 3763, 253, 8396, 396, 3218, 721, 2893, 366, 1071, 270, 1611, 396, 313, 2195, 3399, 285, 25489, 314, 340, 538, 16200, 14776, 186, 340, 4706, 1515, 345, 904, 409, 289, 2524, 326, 990, 10652, 1392, 253, 19695, 313, 480, 414, 859, 396, 313, 2232, 612, 730, 1391, 4678, 375, 19695, 1854, 255, 1660, 1927, 396, 642, 272, 486, 19695, 289, 13666, 396, 2634, 253, 9279, 1119, 314, 8893, 12534, 2018, 341, 1746, 1197, 6678, 276, 248, 19695, 409, 1783, 3931, 1800, 366, 486, 14554, 746, 270, 20639, 255, 2446, 360, 25489, 2232, 341, 409, 1197, 326, 990, 10652, 360, 409, 1879, 1737, 584, 11535, 3442, 486, 2889, 482, 8576, 746, 270, 8893, 12534, 1602, 26756, 2417, 544, 2018, 409, 652, 2982, 30498, 19231, 289, 3824, 486, 1266, 482, 8576, 1515, 270, 1611, 2195, 5029, 414, 347, 360, 476, 285, 2781, 255, 8681, 1197, 25489, 396, 1890, 1696, 255, 347, 360, 2543, 725, 366, 1800, 818, 1703, 255, 1660, 1746, 1197, 273, 1220, 1890, 1065, 409, 2195, 2893, 253, 28045, 11100, 22036, 24367, 1192, 32366, 6937, 448, 8321, 8019, 2535, 8823, 335, 870, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28478, 8650, 1807, 313, 253, 4450, 18, 1783, 272, 3139, 276, 253, 706, 270, 52, 270, 2080, 2338, 313, 253, 3731, 272, 9651, 285, 2376, 14, 12431, 8705, 270, 3403, 8705, 313, 461, 914, 486, 1763, 10801, 2215, 2376, 1807, 255, 264, 554, 652, 486, 6831, 314, 6137, 253, 6384, 2151, 255, 1660, 5473, 253, 2804, 1861, 285, 10262, 253, 9053, 314, 21367, 3818, 27735, 186, 6660, 289, 1911, 253, 2992, 272, 11122, 1807, 289, 800, 2246, 285, 3203, 289, 3649, 270, 19023, 289, 7279, 486, 1395, 2721, 20446, 878, 356, 15321, 12469, 11040, 12665, 406, 864, 2762, 486, 1608, 272, 253, 1807, 289, 831, 248, 6192, 363, 285, 904, 1889, 360, 409, 1039, 285, 5752, 486, 1608, 270, 5426, 255, 22271, 1030, 366, 2165, 276, 1460, 285, 6165, 3229, 7189, 1363, 253, 2672, 314, 21367, 1854, 366, 248, 5172, 272, 64, 13195, 2285, 276, 8490, 831, 314, 1065, 1349, 19618, 448, 2082, 64, 20, 29057, 3178, 276, 253, 1771, 272, 486, 1854, 289, 276, 253, 26118, 448, 253, 1275, 270, 6014, 5502, 4001, 285, 876, 5614, 14330, 453, 253, 5620, 80, 22540, 255, 19519, 359, 448, 1608, 2793, 5931, 1129, 916, 1232, 19618, 253, 3906, 276, 253, 26118, 366, 2103, 2300, 270, 1065, 409, 693, 818, 5215, 285, 19618, 253, 3906, 314, 673, 1349, 326, 31277, 314, 5341, 253, 2804, 1861, 285, 10262, 486, 1854, 314, 6660, 289, 1911, 253, 2992, 272, 11122, 1807, 289, 800, 2246, 285, 3203, 289, 3649, 270, 19023, 289, 7279, 486, 1395, 2721, 8705, 6708, 356, 15321, 12469, 11040, 12665, 406, 864, 2762, 486, 1608, 272, 253, 1807, 289, 831, 248, 6192, 363, 285, 904, 1889, 360, 409, 1039, 285, 5752, 486, 1608, 270, 5426, 255, 22271, 1030, 366, 2165, 276, 1460, 285, 6165, 3229, 7189, 1363, 253, 2672, 270, 340, 1387, 1030, 558, 870, 360, 366, 253, 1697, 272, 1030, 341, 939, 326, 3583, 270, 1065, 359, 461, 3562, 285, 480, 255, 264, 558, 1215, 2286, 360, 248, 2147, 2946, 272, 904, 532, 881, 3851, 335, 276, 253, 9053, 314, 4501, 4450, 18, 1019, 6660, 289, 1911, 253, 2992, 272, 11122, 1807, 314, 9, 3193, 448, 2082, 64, 19, 29057, 3178, 335, 5381, 4450, 18, 355, 1808, 2452, 285, 19618, 2300, 6143, 7515, 566, 26662, 289, 363, 248, 26118, 448, 1275, 1436, 1099, 359, 253, 2992, 879, 3013, 313, 396, 248, 1095, 6646, 879, 1099, 313, 253, 10375, 272, 253, 1807, 16, 1432, 1021, 359, 4442, 879, 2776, 396, 2071, 544, 879, 1099, 313, 253, 1770, 272, 253, 1807, 285, 253, 706, 2744, 15, 879, 4501, 4450, 19, 1019, 1099, 313, 253, 2246, 877, 11122, 1807, 289, 3203, 289, 3649, 10405, 3193, 448, 2082, 64, 18, 29057, 2300, 335, 5381, 4450, 19, 355, 1808, 2452, 285, 19618, 2300, 6143, 7515, 566, 26662, 289, 363, 26118, 448, 253, 1275, 1436, 1099, 2063, 272, 3845, 5337, 285, 849, 1608, 879, 7107, 2333, 2057, 870, 276, 7876, 879, 919, 1147, 276, 11910, 1959, 849, 1608, 879, 4501, 4450, 20, 1019, 19023, 289, 7279, 486, 1395, 2721, 8705, 6708, 341, 5337, 285, 26529, 1608, 272, 11122, 1807, 270, 30849, 253, 2815, 12665, 341, 360, 3427, 285, 270, 6014, 5502, 4001, 285, 1249, 23470, 2815, 9053, 255, 42, 881, 448, 2898, 1608, 2793, 802, 263, 2859, 2631, 20546, 1249, 13857, 11184, 7263, 11040, 9053, 255, 42, 9424, 2793, 2036, 1099, 359, 253, 8705, 6708, 360, 359, 2576, 341, 1959, 486, 1608, 879, 10139, 448, 878, 453, 253, 1387, 12665, 578, 919, 25240, 313, 5251, 599, 28164, 911, 8819, 3382, 186, 22364, 1454, 8918, 186, 10617, 2743, 6138, 9053, 186, 3197, 2452, 285, 19618, 253, 2300, 272, 480, 1030, 1683, 6014, 5502, 4001, 285, 1249, 13857, 11184, 7263, 532, 582, 10631, 1798, 1331, 2793, 616, 680, 4501, 4450, 21, 1019, 12780, 248, 6192, 363, 285, 904, 1889, 360, 409, 1039, 276, 486, 1395, 2721, 8705, 6708, 276, 1460, 285, 5752, 1608, 314, 14693, 904, 409, 360, 582, 285, 5752, 486, 1608, 613, 8468, 314, 919, 558, 1288, 1889, 4470, 486, 2264, 1095, 314, 4501, 4450, 22, 1019, 36, 21031, 2000, 1699, 289, 7850, 21973, 2140, 186, 24611, 16535, 486, 31605, 476, 5066, 360, 285, 2002, 253, 2451, 3185, 272, 2333, 2057, 270, 673, 313, 1657, 720, 285, 3412, 341, 366, 2165, 270, 12705, 980, 25969, 2786, 359, 448, 2898, 1608, 335, 11122, 1807, 270, 4001, 285, 253, 5162, 335, 10051, 7168, 255, 347, 1255, 11201, 25969, 1217, 4183, 3546, 255, 581, 916, 5742, 1069, 5870, 7164, 276, 1095, 1565, 3793, 1255, 935, 270, 7229, 64, 18, 276, 64, 22, 4478, 289, 64, 18, 276, 64, 20, 1404, 1012, 253, 5143, 1844, 272, 2333, 2057, 314, 26935, 667, 448, 2082, 64, 19, 945, 356, 370, 490, 375, 933, 406, 864, 8702, 276, 248, 19039, 366, 360, 270, 673, 409, 326, 486, 3152, 19039, 375, 360, 409, 582, 2232, 902, 356, 17094, 1740, 8111, 255, 8118, 248, 2072, 1247, 448, 22019, 255, 7855, 248, 892, 19039, 29321, 1436, 27502, 345, 480, 2002, 289, 1540, 253, 1387, 1030, 578, 7382, 1822, 360, 21383, 285, 19039, 366, 360, 289, 2096, 1822, 360, 3801, 341, 1217, 879, 1099, 1030, 1822, 360, 3412, 285, 6165, 713, 285, 8702, 879, 10884, 360, 5749, 248, 2732, 276, 253, 1430, 554, 12236, 2562, 2333, 2057, 366, 16365, 285, 556, 2163, 255, 30499, 4713, 375, 24522, 4713, 879, 11252, 253, 1575, 7466, 345, 849, 5842, 861, 5212, 891, 313, 3546, 11031, 2165, 285, 1940, 3546, 1798, 314, 1099, 612, 2192, 1109, 360, 6165, 2333, 2057, 276, 4478, 289, 1404, 879, 673, 313, 253, 5045, 1783, 272, 3139, 276, 253, 3008, 270, 20373, 272, 29618, 285, 248, 2376, 14, 12431, 8705, 270, 340, 1119, 360, 3270, 313, 461, 914, 486, 1763, 10801, 1175, 652, 486, 20864, 314, 3136, 5473, 253, 2804, 1861, 285, 10262, 253, 9053, 314, 6660, 11646, 14599, 186, 1579, 6778, 253, 2992, 272, 11122, 1807, 289, 800, 4605, 285, 1454, 289, 3649, 270, 27433, 289, 11771, 486, 1395, 2721, 20446, 878, 356, 15321, 12469, 11040, 12665, 406, 4691, 870, 360, 5266, 486, 1807, 1608, 289, 904, 15060, 360, 409, 1039, 285, 2587, 396, 270, 5426, 255, 1201, 1269, 253, 2285, 285, 6165, 3229, 8544, 276, 253, 2672, 314, 34, 5172, 272, 64, 13195, 1909, 276, 8490, 831, 314, 1065, 1349, 19618, 64, 20, 29057, 3178, 276, 253, 1771, 289, 64, 20, 276, 253, 26118, 270, 974, 1123, 2859, 4001, 285, 876, 5614, 14330, 272, 253, 5620, 80, 22540, 2793, 802, 7387, 326, 12969, 276, 253, 26118, 366, 253, 2753, 2300, 270, 1065, 409, 19618, 396, 276, 818, 5215, 314, 1283, 10262, 486, 1854, 255, 7688, 1868, 314, 23492, 335, 248, 186, 1579, 6778, 253, 2992, 272, 11122, 1807, 289, 800, 4605, 285, 1454, 289, 3649, 270, 27433, 289, 11771, 486, 1395, 2721, 8705, 6708, 356, 15321, 12469, 11040, 12665, 406, 2251, 870, 360, 2595, 486, 1807, 1608, 289, 904, 1889, 360, 672, 1039, 285, 2587, 396, 270, 5426, 255, 1201, 1269, 253, 2285, 285, 6165, 3229, 8544, 276, 253, 2672, 270, 340, 1387, 1030, 409, 870, 360, 7423, 904, 285, 1540, 270, 600, 313, 461, 277, 32000, 1567, 255, 772, 396, 558, 2286, 360, 248, 1415, 14481, 272, 904, 532, 881, 3851, 335, 314, 4501, 64, 18, 414, 6660, 289, 1911, 11122, 1807, 2992, 314, 4861, 4506, 448, 2082, 871, 29057, 3178, 276, 253, 1771, 289, 276, 253, 26118, 314, 1099, 2992, 396, 879, 3013, 313, 396, 6918, 879, 919, 1354, 313, 253, 1807, 16, 1432, 1021, 359, 4442, 879, 2776, 396, 18585, 1284, 879, 919, 1331, 1147, 253, 23381, 1770, 253, 3008, 879, 4501, 64, 19, 1019, 919, 582, 1454, 289, 3649, 1836, 11122, 1807, 10405, 3193, 448, 2082, 650, 29057, 2300, 335, 5381, 4450, 19, 649, 68, 667, 276, 1771, 289, 26118, 5518, 1099, 3845, 8465, 849, 1608, 879, 7107, 3649, 870, 2071, 879, 465, 11910, 16377, 849, 1608, 314, 4501, 64, 20, 414, 22771, 486, 1395, 8705, 4658, 341, 1959, 486, 1608, 272, 11122, 1807, 270, 46, 1569, 253, 2815, 12665, 360, 785, 3275, 4126, 23470, 2815, 9053, 3992, 532, 881, 448, 1608, 2793, 15710, 10626, 268, 1249, 13857, 11184, 7263, 11040, 9053, 2793, 2036, 1099, 359, 486, 8705, 4658, 341, 8465, 486, 1608, 879, 1579, 6778, 253, 1387, 878, 578, 3215, 3832, 399, 8005, 244, 13466, 186, 18799, 21690, 276, 3904, 186, 31533, 268, 248, 1454, 2743, 186, 30849, 253, 1030, 554, 2300, 270, 1579, 5502, 4126, 13857, 11184, 7263, 3992, 532, 4097, 1798, 1331, 2793, 2036, 4501, 64, 21, 1019, 11572, 10073, 345, 904, 15060, 360, 409, 1039, 276, 486, 1395, 8705, 285, 2587, 1608, 314, 1099, 409, 360, 582, 613, 8468, 285, 2587, 486, 1608, 879, 1611, 255, 1432, 558, 341, 870, 486, 2264, 1095, 879, 5540, 1699, 289, 7850, 21973, 451, 19143, 186, 27341, 253, 1415, 1980, 272, 2333, 2057, 366, 486, 31605, 270, 2928, 396, 554, 720, 285, 3338, 2165, 270, 465, 3572, 945, 359, 596, 13723, 285, 2376, 1807, 270, 340, 21669, 8021, 341, 861, 1255, 11201, 25969, 1430, 4183, 3546, 255, 581, 916, 5742, 1069, 5870, 7164, 16704, 270, 23143, 4478, 4594, 1404, 1012, 253, 2555, 1844, 272, 3649, 314, 26935, 667, 64, 19, 2786, 356, 370, 490, 375, 933, 406, 864, 9685, 360, 276, 248, 19039, 270, 673, 409, 326, 486, 9279, 19039, 375, 2232, 892, 356, 17094, 1740, 8111, 255, 8118, 248, 2072, 1247, 448, 22019, 255, 7855, 248, 892, 19039, 29321, 1436, 7268, 697, 486, 2002, 289, 1540, 253, 1387, 578, 7382, 1822, 360, 21383, 285, 19039, 366, 360, 289, 2096, 879, 1099, 1822, 360, 2222, 285, 1189, 625, 713, 879, 10884, 360, 8985, 818, 3641, 276, 12236, 697, 2333, 2057, 1625, 345, 2163, 255, 707, 27615, 255, 263, 24522, 4469, 879, 15469, 253, 1980, 345, 849, 5842, 861, 5212, 891, 313, 3437, 11031, 2165, 285, 9685, 713, 314, 1099, 3232, 2142, 1109, 360, 1012, 4478, 289, 4214, 4467, 32, 1, 22286, 3662, 24769, 1348, 1683, 16778, 66, 255, 22668, 4408, 10882, 20, 14, 9668, 879, 11246, 272, 29533, 578, 355, 16778, 66, 255, 24357, 14515, 22599, 186, 37, 717, 272, 7854, 578, 355, 35, 20976, 276, 64, 10882, 20, 314, 355, 28461, 428, 928, 22286, 3662, 2900, 928, 3449, 1201, 4777, 314, 355, 16778, 66, 356, 24357, 14515, 13661, 255, 22668, 20938, 928, 3449, 1201, 4777, 314, 355, 24357, 14515, 13661, 356, 22668, 20938, 928, 3449, 1201, 4777, 314, 355, 34, 5985, 255, 14290, 7590, 285, 253, 6417, 272, 12748, 9808, 649, 26784, 285, 2022, 253, 2605, 255, 332, 6277, 369, 253, 1841, 272, 253, 14618, 391, 272, 253, 2775, 255, 332, 285, 8754, 248, 596, 467, 2541, 3595, 746, 272, 3479, 314, 355, 17329, 1625, 345, 414, 6894, 270, 2296, 255, 2899, 270, 21, 356, 16473, 64, 9454, 21, 4650, 20158, 453, 1263, 1361, 314, 22286, 3662, 24769, 1348, 270, 16473, 64, 18, 255, 9454, 24, 186, 43, 19797, 270, 332, 655, 2744, 270, 29475, 3729, 253, 965, 3461, 272, 253, 12748, 400, 490, 405, 1348, 345, 8675, 64, 18, 255, 10882, 20, 276, 9434, 66, 255, 6263, 17649, 270, 340, 1854, 543, 248, 11714, 21801, 315, 5985, 341, 20199, 11648, 289, 4841, 2500, 2398, 285, 9870, 9808, 270, 340, 965, 935, 3583, 5664, 345, 5740, 942, 363, 253, 16950, 272, 805, 563, 4493, 255, 2557, 18733, 335, 6552, 255, 332, 10145, 891, 17050, 12945, 270, 2631, 253, 11047, 4233, 255, 344, 400, 490, 405, 1348, 7848, 285, 26208, 84, 255, 6263, 17649, 366, 655, 78, 270, 332, 655, 270, 45, 270, 29475, 363, 253, 19700, 289, 29920, 270, 340, 1854, 554, 17049, 3612, 6295, 271, 285, 12669, 289, 396, 1747, 2778, 277, 797, 28461, 1050, 289, 11693, 592, 22623, 315, 29533, 2930, 340, 1854, 9573, 276, 26208, 84, 2658, 64, 9668, 18, 799, 396, 5023, 9304, 642, 272, 253, 20513, 272, 253, 9957, 14001, 11062, 270, 340, 1854, 9907, 12419, 612, 4958, 14846, 289, 4183, 253, 12748, 400, 490, 405, 1348, 289, 525, 1203, 589, 20296, 1098, 1253, 14845, 268, 366, 253, 525, 1203, 589, 20296, 1098, 276, 64, 9668, 19, 270, 340, 400, 490, 405, 1348, 9503, 285, 11714, 21801, 315, 7854, 276, 64, 9668, 21, 775, 253, 13221, 272, 876, 14047, 270, 41, 30455, 289, 12175, 270, 465, 253, 4674, 64, 9668, 17, 84, 255, 344, 5985, 543, 300, 23818, 775, 253, 400, 490, 405, 1348, 22090, 12175, 255, 822, 17358, 13221, 272, 253, 1854, 721, 253, 18005, 3227, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41, 1717, 317, 9080, 554, 1807, 356, 41, 1717, 317, 9080, 554, 12033, 3631, 406, 66, 9011, 253, 20289, 746, 1224, 253, 1352, 7436, 253, 12033, 12821, 270, 340, 1807, 543, 965, 3919, 276, 64, 6662, 19, 433, 4952, 270, 41, 553, 282, 86, 610, 1717, 317, 9080, 270, 12644, 476, 4507, 341, 905, 2786, 366, 23087, 24499, 1019, 2446, 253, 12033, 12821, 12624, 285, 2856, 4982, 1943, 272, 12033, 9258, 1019, 332, 873, 3762, 476, 610, 1717, 317, 9080, 554, 1807, 314, 340, 1807, 409, 1783, 5358, 7519, 31960, 12033, 3631, 255, 2470, 276, 4739, 30237, 2659, 270, 340, 23764, 253, 2426, 359, 7508, 255, 344, 23309, 253, 2727, 409, 2487, 7923, 2379, 1778, 285, 9710, 253, 6677, 2273, 366, 253, 1807, 270, 340, 12033, 255, 66, 1324, 12821, 5228, 2151, 253, 24452, 554, 17205, 448, 253, 3226, 272, 253, 8508, 10071, 1021, 1352, 2975, 882, 253, 1352, 554, 28241, 746, 314, 2058, 1255, 3872, 272, 610, 1717, 317, 9080, 554, 12033, 3631, 255, 344, 1352, 554, 4529, 1514, 4211, 3229, 12033, 3820, 7233, 253, 1480, 272, 248, 873, 3762, 1224, 253, 4442, 12821, 3714, 23069, 289, 29337, 270, 10752, 255, 344, 3634, 9812, 4751, 272, 277, 23069, 12033, 12821, 409, 326, 1906, 1526, 270, 1452, 255, 6202, 1778, 255, 344, 10382, 272, 253, 1807, 409, 863, 1737, 2302, 345, 253, 8508, 341, 276, 800, 4919, 2163, 409, 16550, 366, 2642, 26006, 289, 7890, 314, 355, 1099, 26723, 610, 1717, 317, 9080, 554, 10051, 186, 355, 8851, 25380, 186, 355, 7581, 1383, 3502, 610, 1717, 317, 9080, 554, 186, 355, 53, 6160, 610, 1717, 317, 9080, 554, 2905, 16274, 3631, 186, 1099, 26723, 610, 1717, 317, 9080, 554, 10051, 879, 27324, 255, 11570, 255, 332, 4377, 476, 3960, 4507, 253, 3354, 1783, 272, 610, 1717, 317, 9080, 554, 1807, 270, 1452, 255, 264, 313, 3101, 341, 1021, 2189, 1585, 248, 1737, 2202, 276, 800, 1480, 289, 10382, 270, 1294, 2189, 1540, 578, 355, 41, 1106, 2227, 1019, 14356, 359, 6936, 1915, 596, 2237, 285, 852, 610, 1717, 317, 9080, 554, 1807, 3510, 285, 2616, 270, 600, 5190, 341, 5396, 10903, 1585, 248, 1737, 2202, 276, 800, 1480, 270, 6214, 255, 16368, 891, 852, 12033, 2491, 1305, 253, 965, 935, 1253, 6555, 4440, 476, 277, 2650, 1773, 1608, 272, 3504, 610, 1717, 317, 9080, 554, 276, 253, 1233, 9423, 314, 355, 32073, 1019, 10840, 476, 1246, 248, 7966, 272, 17501, 4937, 289, 610, 1717, 317, 9080, 554, 1807, 270, 859, 253, 2727, 313, 2398, 285, 3404, 891, 543, 9226, 366, 277, 20289, 1807, 375, 12033, 1807, 255, 1449, 476, 248, 2898, 5455, 272, 10413, 2389, 253, 4512, 341, 2992, 610, 1717, 317, 9080, 554, 12033, 3631, 314, 355, 10568, 2365, 2064, 14507, 1019, 19028, 5800, 285, 991, 1943, 272, 5214, 3610, 285, 476, 277, 2650, 1773, 272, 3504, 610, 1717, 317, 9080, 554, 12033, 3631, 270, 340, 2650, 2162, 724, 7643, 276, 2786, 891, 724, 276, 253, 400, 488, 79, 868, 2123, 6912, 8488, 375, 253, 12349, 14926, 14824, 345, 9683, 270, 12408, 4721, 335, 610, 361, 72, 5611, 554, 1807, 359, 652, 448, 2898, 1608, 2033, 285, 253, 5214, 785, 285, 5275, 253, 2559, 314, 355, 28209, 532, 361, 473, 30557, 1019, 340, 7489, 272, 1798, 1331, 22805, 289, 3353, 1953, 6684, 409, 8056, 253, 1480, 272, 12033, 1807, 270, 42, 361, 473, 313, 2521, 285, 253, 1480, 272, 2642, 1943, 272, 12033, 10903, 270, 1452, 255, 31677, 5558, 409, 326, 6918, 314, 3278, 272, 253, 8308, 2426, 2273, 366, 610, 1717, 317, 9080, 554, 12033, 3631, 359, 4365, 308, 374, 544, 448, 965, 270, 465, 1021, 2162, 255, 344, 2727, 558, 461, 812, 917, 313, 2232, 4708, 2658, 640, 852, 248, 873, 3762, 255, 1529, 253, 12033, 3714, 4019, 23069, 270, 34, 27076, 12033, 409, 1039, 26006, 2261, 289, 253, 775, 3572, 12821, 409, 2856, 248, 3251, 272, 2426, 341, 1540, 578, 355, 54, 17865, 81, 1421, 2353, 3408, 186, 355, 974, 1024, 12514, 289, 12842, 186, 355, 29588, 289, 4555, 1906, 186, 355, 8840, 17021, 4020, 289, 4465, 186, 355, 49, 4157, 1622, 289, 6522, 10053, 285, 253, 3336, 186, 355, 37, 317, 247, 1597, 1017, 19889, 356, 30358, 751, 680, 355, 1682, 10350, 375, 13697, 24409, 6059, 186, 355, 37, 317, 247, 1597, 2376, 2087, 186, 355, 13739, 1491, 255, 380, 19855, 4866, 186, 355, 41, 1365, 2392, 186, 355, 13739, 1491, 24267, 186, 355, 15488, 15033, 489, 646, 356, 32515, 30630, 375, 9507, 24409, 10713, 680, 355, 37, 317, 247, 1597, 17650, 261, 186, 355, 28394, 315, 5982, 4402, 186, 355, 23635, 276, 6507, 10876, 186, 3278, 272, 755, 2426, 409, 326, 2273, 366, 612, 2755, 1936, 270, 3651, 272, 341, 255, 264, 313, 2521, 285, 2737, 341, 253, 3779, 620, 277, 5167, 5653, 1485, 7923, 818, 1778, 285, 2737, 253, 1800, 359, 461, 18932, 483, 314, 41, 1717, 317, 9080, 554, 289, 452, 21308, 186, 49, 32293, 2659, 8909, 453, 610, 1717, 317, 9080, 554, 1807, 1412, 725, 556, 16960, 1943, 272, 456, 87, 28761, 31512, 473, 255, 344, 9258, 9893, 2682, 341, 3036, 12188, 9720, 289, 1606, 276, 253, 1352, 285, 2737, 248, 4635, 7089, 270, 600, 313, 1262, 11540, 6757, 285, 2659, 8909, 453, 637, 32271, 544, 23087, 24499, 1894, 10876, 476, 248, 1331, 2031, 1608, 272, 3504, 4440, 11342, 3510, 285, 1404, 276, 2642, 5003, 15162, 314, 10840, 476, 13473, 23087, 24499, 366, 25427, 11342, 3483, 8089, 289, 2066, 22876, 289, 1414, 830, 6522, 369, 270, 16461, 1996, 9059, 341, 1021, 1404, 6757, 366, 248, 7147, 3318, 433, 637, 21192, 23087, 24499, 276, 556, 5317, 476, 277, 2650, 1773, 1608, 272, 8909, 453, 11118, 289, 8684, 1800, 314, 3444, 334, 2078, 32702, 610, 1717, 317, 9080, 554, 1807, 2340, 3435, 248, 2333, 7262, 289, 248, 6021, 2456, 289, 2721, 2755, 2183, 270, 12632, 255, 344, 3779, 558, 4046, 10299, 3642, 285, 2762, 253, 10554, 272, 253, 12033, 5510, 270, 1294, 3642, 1540, 578, 355, 497, 16274, 14, 1038, 317, 5693, 610, 1106, 623, 5952, 356, 5334, 41, 13026, 600, 1704, 1136, 409, 9160, 14892, 23087, 24499, 255, 1554, 313, 2340, 3318, 433, 610, 1717, 317, 9080, 554, 1807, 270, 340, 1136, 409, 9160, 2762, 861, 253, 1352, 554, 12033, 20603, 9258, 1943, 359, 1363, 253, 2642, 1684, 270, 2447, 253, 20603, 10903, 359, 3630, 276, 253, 30969, 12821, 289, 461, 276, 253, 12033, 12821, 255, 1274, 24246, 3034, 1115, 272, 253, 12033, 20603, 9258, 409, 5752, 253, 2413, 272, 12033, 10903, 289, 1783, 1800, 314, 355, 23361, 14, 497, 16274, 6951, 451, 3861, 5952, 356, 21694, 13026, 340, 12033, 604, 24331, 568, 10756, 1136, 356, 14319, 84, 9175, 12448, 1136, 406, 505, 4533, 785, 285, 2595, 610, 1717, 317, 9080, 554, 12033, 3631, 270, 340, 1136, 26913, 253, 4013, 272, 1724, 10756, 270, 340, 1528, 272, 253, 1136, 409, 3867, 5418, 341, 610, 1717, 317, 9080, 554, 12033, 3631, 3318, 253, 23087, 24499, 1619, 314, 355, 9845, 2905, 90, 31512, 473, 566, 21, 5952, 1019, 600, 1136, 3957, 253, 1943, 272, 2072, 3546, 12033, 10903, 276, 253, 18300, 285, 12196, 253, 5653, 272, 610, 1717, 317, 9080, 554, 12033, 3631, 270, 1316, 253, 2559, 313, 1309, 276, 253, 2727, 255, 344, 30969, 12821, 558, 15567, 668, 596, 12033, 20603, 10903, 1262, 253, 1352, 313, 17620, 285, 2336, 1943, 272, 12033, 9258, 341, 672, 375, 672, 461, 326, 3630, 276, 253, 12033, 12821, 270, 600, 1136, 313, 7209, 799, 248, 12033, 20603, 9258, 1136, 7063, 2642, 1528, 289, 917, 8291, 313, 248, 1619, 366, 12033, 12821, 9258, 2413, 314, 355, 12443, 11809, 1019, 340, 3779, 672, 4046, 253, 2727, 12183, 277, 14677, 285, 1200, 253, 12033, 12821, 620, 23069, 285, 253, 1120, 1224, 396, 313, 591, 9435, 253, 20444, 356, 85, 1620, 10667, 406, 263, 1454, 6988, 356, 261, 20527, 1436, 53, 6160, 610, 1717, 317, 9080, 554, 10051, 186, 27324, 255, 13597, 255, 332, 3498, 476, 461, 1246, 248, 11716, 335, 610, 1717, 317, 9080, 554, 1807, 255, 9541, 409, 253, 9160, 2762, 253, 2561, 272, 720, 253, 20289, 901, 558, 3937, 285, 1783, 3986, 6677, 270, 1452, 255, 30617, 558, 1412, 23657, 12033, 9258, 4705, 285, 5149, 1288, 253, 12033, 313, 8522, 285, 2856, 1262, 272, 6677, 270, 600, 2845, 9893, 272, 566, 20, 289, 566, 21, 12033, 10903, 341, 359, 1724, 285, 20511, 253, 1354, 2426, 2273, 366, 253, 1807, 314, 27324, 23657, 8545, 31512, 473, 356, 5795, 28761, 31512, 473, 406, 84, 954, 775, 253, 7953, 4929, 21237, 855, 5514, 255, 24811, 1376, 2123, 255, 332, 24007, 380, 5514, 341, 313, 3022, 23736, 315, 285, 7029, 1299, 23087, 24499, 375, 9710, 800, 4751, 289, 2426, 270, 859, 253, 2559, 313, 2299, 17314, 255, 1534, 313, 914, 248, 9414, 5455, 341, 253, 12033, 12821, 409, 2626, 2642, 9258, 1943, 270, 34, 3731, 272, 1778, 409, 25555, 253, 2426, 272, 23087, 24499, 270, 12632, 255, 344, 16960, 558, 326, 12526, 276, 2659, 891, 1940, 10876, 285, 9710, 253, 1773, 612, 933, 1285, 6757, 366, 248, 3986, 1372, 20209, 4440, 7147, 15, 1777, 4325, 2385, 186, 2056, 2379, 1778, 289, 8370, 5367, 255, 344, 22547, 313, 6595, 335, 2786, 8909, 453, 610, 1717, 317, 9080, 554, 12033, 3631, 799, 7923, 1500, 1778, 289, 8370, 1565, 270, 497, 16274, 9258, 1943, 359, 21469, 255, 5117, 272, 253, 4751, 289, 2426, 2273, 366, 23087, 24499, 409, 326, 19184, 270, 14681, 255, 347, 253, 1778, 313, 24204, 255, 344, 2559, 409, 25555, 276, 253, 3385, 375, 1233, 9423, 289, 1783, 3986, 5707, 375, 1327, 2982, 314, 7375, 255, 1534, 313, 929, 3473, 2589, 341, 22967, 480, 2559, 409, 326, 15511, 270, 600, 313, 1262, 253, 1807, 313, 277, 20289, 2559, 1224, 253, 1352, 22006, 315, 7436, 800, 1395, 3820, 363, 248, 4186, 285, 396, 1285, 10202, 363, 248, 6270, 1444, 15, 1, 340, 12970, 2048, 272, 9067, 6368, 85, 11121, 14171, 689, 323, 3302, 276, 11355, 9315, 255, 2996, 76, 20215, 255, 17668, 3669, 10908, 313, 3593, 4043, 255, 9269, 276, 253, 777, 335, 29459, 338, 8116, 270, 34, 1811, 2204, 272, 253, 2333, 289, 1740, 5278, 2189, 10561, 12406, 289, 6207, 916, 5013, 253, 8519, 272, 4560, 4346, 270, 959, 3510, 273, 446, 1410, 390, 255, 250, 26127, 17666, 985, 255, 12867, 8838, 255, 3669, 2260, 255, 85, 18519, 5088, 255, 10616, 9070, 255, 26545, 255, 19847, 312, 255, 332, 10213, 5725, 2370, 2172, 6763, 3669, 10908, 285, 2595, 2189, 21852, 9067, 6368, 85, 12970, 2048, 270, 340, 273, 446, 1410, 390, 289, 2559, 3038, 272, 1692, 81, 1088, 741, 9067, 6368, 85, 724, 4019, 2336, 448, 4439, 15008, 566, 690, 3669, 255, 66, 4105, 1724, 335, 12970, 4680, 255, 9516, 448, 612, 4762, 255, 9837, 696, 929, 3641, 724, 1246, 270, 19131, 6368, 85, 30372, 741, 543, 3694, 453, 64, 1298, 9921, 285, 64, 2253, 10740, 64, 1605, 23, 255, 332, 25743, 13824, 5023, 345, 64, 2644, 11467, 64, 1605, 24, 270, 25369, 2370, 23291, 3641, 724, 7643, 335, 30372, 741, 289, 25743, 2360, 32007, 252, 4283, 255, 772, 253, 4283, 11870, 1363, 375, 2625, 5339, 375, 6980, 10781, 3955, 276, 253, 4411, 335, 480, 2065, 270, 10678, 14, 17, 9067, 6368, 85, 5088, 31924, 4019, 2370, 4762, 255, 772, 2283, 289, 2559, 1822, 461, 270, 25038, 312, 433, 748, 91, 983, 16926, 12275, 400, 2773, 398, 3225, 810, 334, 398, 345, 6368, 85, 7194, 375, 2163, 14, 17, 6368, 85, 272, 818, 2065, 543, 461, 3694, 2370, 253, 64, 21, 1212, 7672, 84, 7695, 270, 48, 91, 983, 16926, 12275, 5088, 289, 3203, 15484, 366, 2163, 14, 17, 9067, 6368, 85, 724, 5481, 289, 29876, 21682, 1454, 9070, 289, 1071, 15589, 724, 10061, 448, 4439, 15008, 566, 690, 3669, 2736, 285, 253, 612, 10908, 270, 2968, 4471, 5043, 341, 3641, 276, 244, 13829, 1936, 1672, 2370, 6763, 3669, 10908, 255, 332, 248, 2336, 746, 11873, 4190, 543, 3919, 448, 4439, 15008, 566, 690, 3669, 270, 959, 2122, 341, 2374, 4924, 1540, 1091, 1546, 253, 1388, 8707, 446, 397, 6368, 85, 338, 8116, 13170, 285, 2022, 2413, 4569, 255, 31266, 1893, 9124, 255, 332, 2958, 8838, 7031, 285, 1959, 29876, 21682, 289, 4346, 8636, 270, 5432, 4924, 672, 1357, 285, 5135, 2191, 12406, 289, 253, 2650, 13340, 289, 2260, 272, 4560, 6368, 85, 276, 480, 746, 289, 612, 15382, 14550, 314, 11493, 29533, 30890, 186, 22195, 21852, 9067, 6368, 85, 12970, 2048, 276, 748, 91, 983, 6763, 3669, 14550, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16645, 37, 3238, 15993, 7694, 655, 2540, 51, 3021, 18694, 2350, 186, 355, 12225, 255, 252, 253, 720, 272, 13935, 255, 344, 30206, 2434, 783, 6774, 255, 5524, 762, 272, 30217, 2888, 335, 253, 23195, 272, 1055, 7311, 270, 2124, 272, 13843, 359, 276, 2646, 272, 8003, 2165, 359, 276, 2646, 272, 6348, 270, 24359, 312, 363, 285, 1057, 696, 3714, 248, 657, 272, 4778, 272, 13935, 313, 1747, 363, 30217, 1209, 314, 355, 1038, 577, 1209, 672, 326, 2559, 375, 32161, 5373, 3017, 800, 3769, 276, 5601, 285, 4778, 314, 355, 1038, 577, 1209, 696, 313, 2521, 285, 253, 1266, 3443, 272, 4778, 313, 1724, 363, 2559, 270, 12931, 563, 272, 2559, 3815, 253, 5009, 10928, 6472, 1250, 285, 1925, 3414, 253, 4778, 314, 355, 1038, 577, 1209, 696, 313, 2641, 7687, 285, 253, 1266, 3443, 272, 253, 4778, 313, 32161, 270, 12931, 563, 272, 32161, 3815, 4845, 285, 253, 5009, 10928, 6472, 1250, 285, 2980, 16290, 1175, 4778, 2524, 326, 1925, 4226, 314, 355, 340, 1936, 289, 14837, 397, 672, 326, 2951, 375, 21533, 314, 355, 25322, 1936, 289, 14837, 397, 359, 1288, 255, 822, 253, 8029, 4407, 2951, 315, 255, 74, 3031, 270, 263, 753, 375, 276, 2697, 314, 355, 2698, 449, 921, 1936, 359, 1288, 255, 822, 359, 21533, 433, 253, 2052, 276, 253, 7619, 272, 818, 8090, 285, 253, 15786, 314, 340, 1387, 359, 253, 21533, 1936, 696, 359, 7999, 276, 253, 25196, 272, 12602, 84, 3905, 578, 355, 17010, 1320, 363, 285, 6564, 1019, 4011, 64, 1499, 5233, 680, 1132, 313, 277, 21533, 2559, 345, 253, 657, 272, 253, 30206, 341, 186, 355, 465, 253, 1576, 272, 13935, 255, 344, 30206, 620, 248, 1250, 285, 8590, 253, 7311, 255, 332, 186, 355, 465, 253, 8090, 285, 8590, 255, 344, 30206, 558, 476, 248, 1250, 285, 8590, 253, 7311, 448, 253, 720, 272, 9626, 272, 13221, 276, 7311, 314, 859, 253, 6564, 272, 30206, 642, 285, 326, 24759, 255, 344, 24545, 1349, 2768, 253, 7311, 285, 253, 2987, 10717, 289, 10120, 253, 4044, 453, 253, 30206, 314, 355, 17010, 1320, 363, 285, 5848, 1019, 12517, 64, 1204, 186, 5324, 253, 7311, 359, 5981, 433, 5848, 255, 1534, 313, 277, 21533, 2559, 341, 253, 7311, 6033, 3774, 285, 253, 5848, 314, 6014, 414, 34, 3836, 543, 5981, 270, 340, 24545, 620, 461, 838, 253, 3836, 255, 772, 253, 30206, 3173, 396, 363, 248, 892, 650, 270, 1452, 255, 264, 543, 1246, 285, 326, 248, 1199, 2218, 650, 270, 12261, 69, 255, 344, 3836, 543, 461, 3675, 285, 253, 5848, 314, 355, 52, 1318, 433, 3146, 1019, 12517, 64, 1626, 186, 5324, 253, 7311, 359, 5981, 433, 3146, 255, 344, 1387, 359, 21533, 1936, 314, 355, 340, 12983, 6033, 3774, 285, 3146, 276, 2260, 314, 355, 340, 24545, 6033, 326, 1687, 248, 8824, 4830, 285, 6621, 253, 7311, 366, 253, 3146, 314, 355, 340, 7311, 6033, 326, 2072, 453, 818, 7147, 255, 23164, 268, 713, 637, 1019, 1098, 329, 417, 544, 270, 673, 313, 285, 326, 6485, 341, 480, 21533, 2559, 9902, 914, 276, 253, 1576, 272, 24474, 11342, 255, 74, 3031, 270, 8584, 11342, 696, 2524, 326, 5702, 433, 10307, 13135, 270, 465, 1057, 255, 1458, 11342, 359, 5702, 799, 253, 7311, 359, 2371, 285, 693, 375, 433, 7262, 276, 20863, 270, 340, 30206, 313, 461, 29847, 335, 7022, 375, 6561, 11342, 696, 409, 326, 5702, 433, 7262, 314, 355, 52, 1318, 433, 5848, 363, 1020, 363, 3146, 1019, 12517, 64, 1204, 186, 859, 253, 13935, 313, 433, 3146, 363, 1020, 363, 5848, 255, 4747, 1936, 6033, 326, 15749, 270, 9623, 84, 1349, 3774, 366, 3146, 363, 1020, 363, 5848, 314, 6014, 2591, 34, 12530, 285, 8590, 285, 400, 783, 3868, 3173, 363, 797, 13916, 573, 18228, 3868, 802, 332, 14837, 271, 914, 2931, 285, 3146, 270, 340, 7311, 13176, 724, 2931, 285, 3146, 255, 772, 7999, 248, 7314, 285, 7015, 81, 3868, 270, 12261, 69, 255, 36, 1109, 7541, 253, 7311, 314, 355, 17010, 1320, 363, 285, 2260, 289, 12117, 335, 24545, 554, 3443, 1019, 12517, 64, 1456, 186, 355, 5324, 253, 24545, 255, 4456, 597, 315, 375, 21533, 315, 255, 85, 6971, 253, 30206, 253, 1829, 3443, 335, 696, 423, 2129, 253, 7311, 289, 15179, 345, 253, 6670, 375, 13575, 272, 253, 30206, 255, 1534, 313, 277, 21533, 2559, 341, 253, 7311, 6033, 326, 18040, 3683, 335, 942, 3443, 314, 355, 1316, 253, 2357, 409, 326, 785, 914, 335, 650, 1829, 3443, 255, 344, 24545, 777, 461, 4095, 253, 30206, 253, 3443, 335, 696, 253, 7311, 359, 2216, 314, 6014, 414, 34, 14916, 248, 4287, 1071, 12815, 453, 248, 7600, 386, 270, 2447, 253, 12815, 543, 1285, 785, 433, 416, 554, 14124, 255, 264, 18071, 289, 15754, 416, 554, 14124, 270, 12261, 69, 255, 344, 30206, 543, 29847, 335, 16290, 363, 253, 12815, 543, 461, 3683, 335, 253, 3443, 335, 696, 396, 543, 7066, 1019, 49, 1910, 85, 6584, 21236, 314, 1579, 10630, 285, 253, 21533, 2559, 363, 285, 2260, 375, 12117, 186, 355, 340, 2559, 363, 285, 2260, 375, 12117, 1306, 5884, 461, 4079, 255, 347, 253, 24545, 313, 8909, 453, 277, 24227, 1150, 255, 822, 14863, 391, 253, 7311, 8093, 19604, 335, 248, 1829, 3443, 289, 253, 24545, 1147, 461, 4095, 253, 30206, 697, 341, 24227, 753, 314, 6014, 414, 34, 14916, 248, 16510, 270, 1682, 1168, 24227, 753, 6217, 2526, 255, 2148, 13417, 253, 16510, 255, 249, 4755, 2526, 24530, 270, 12261, 69, 255, 1534, 543, 929, 24906, 272, 2559, 255, 292, 423, 1168, 461, 19552, 253, 24227, 753, 272, 1055, 2526, 314, 355, 5324, 253, 7311, 409, 326, 785, 335, 248, 966, 272, 5407, 255, 344, 24545, 939, 4095, 253, 1829, 3443, 335, 696, 942, 7311, 724, 2216, 270, 859, 253, 1147, 461, 26714, 255, 1534, 313, 929, 942, 1936, 272, 2260, 375, 12117, 314, 355, 17010, 1320, 363, 285, 18053, 417, 1202, 186, 355, 5324, 7311, 359, 16563, 433, 5848, 453, 248, 30206, 255, 3255, 14035, 276, 7311, 272, 341, 5848, 255, 1534, 313, 277, 21533, 1936, 341, 253, 7311, 6033, 326, 272, 18053, 417, 544, 2260, 314, 18241, 21963, 329, 417, 1202, 1306, 10461, 341, 917, 313, 929, 7147, 276, 253, 7311, 255, 822, 14863, 391, 713, 6572, 264, 335, 13935, 270, 3431, 255, 66, 6061, 341, 558, 461, 1927, 720, 289, 248, 4980, 341, 558, 461, 2921, 2524, 326, 12165, 363, 18053, 417, 544, 314, 6014, 414, 34, 6347, 1031, 543, 5981, 285, 248, 2119, 1885, 270, 340, 1031, 543, 24759, 270, 673, 1822, 461, 867, 276, 20452, 272, 22718, 255, 12261, 69, 255, 344, 24545, 1109, 2768, 253, 1031, 289, 2980, 1091, 1410, 314, 355, 17010, 602, 363, 285, 27425, 1738, 379, 186, 355, 465, 253, 1576, 272, 4097, 544, 289, 1454, 1019, 30191, 255, 1534, 313, 277, 21533, 2559, 341, 253, 7311, 6033, 326, 27425, 1738, 379, 255, 74, 3031, 1353, 10063, 453, 818, 7147, 696, 14863, 391, 713, 6572, 264, 335, 1391, 5204, 314, 355, 6014, 414, 34, 452, 5630, 842, 5943, 453, 538, 255, 66, 5943, 4701, 254, 270, 340, 5943, 7999, 16642, 653, 1478, 24711, 270, 34, 554, 14124, 345, 3353, 253, 5943, 4755, 7669, 289, 9274, 270, 12261, 69, 255, 34, 543, 14997, 285, 1012, 16290, 1019, 39, 17398, 6584, 416, 8221, 21747, 525, 11139, 5016, 270, 45, 14511, 314, 340, 1387, 359, 253, 21533, 14837, 397, 696, 359, 7999, 276, 253, 25196, 272, 12602, 84, 3905, 578, 355, 56, 2747, 417, 90, 363, 285, 12729, 21955, 1019, 12517, 64, 1499, 186, 465, 253, 7619, 285, 818, 4778, 6984, 15786, 10812, 255, 1534, 313, 277, 21533, 32161, 341, 253, 24545, 6033, 476, 289, 4956, 12729, 21955, 272, 253, 7311, 270, 859, 253, 24545, 313, 26165, 276, 253, 27571, 272, 253, 7311, 255, 249, 409, 2980, 16290, 453, 253, 30206, 314, 355, 56, 2747, 417, 90, 2215, 2178, 364, 1860, 1795, 1019, 12517, 64, 1499, 186, 22520, 253, 7230, 272, 253, 1576, 359, 942, 363, 285, 1223, 248, 15786, 500, 3370, 255, 1534, 313, 277, 21533, 32161, 341, 253, 7311, 6033, 326, 2072, 453, 818, 5255, 375, 2178, 364, 1860, 559, 276, 15101, 272, 818, 6472, 461, 14879, 285, 253, 24545, 1485, 375, 448, 253, 720, 4778, 313, 1509, 270, 1452, 255, 1534, 558, 461, 326, 818, 942, 32161, 861, 5255, 313, 14879, 285, 24545, 448, 253, 720, 272, 13935, 314, 355, 56, 2747, 417, 90, 363, 285, 2260, 289, 12117, 433, 7246, 272, 20400, 1019, 12517, 64, 1456, 186, 1173, 21533, 32161, 363, 285, 2260, 375, 12117, 335, 248, 1829, 3443, 672, 326, 277, 17865, 271, 433, 253, 7246, 272, 5263, 314, 355, 56, 2747, 417, 90, 285, 26714, 253, 6918, 2646, 272, 7311, 186, 465, 1576, 272, 13935, 272, 6918, 7311, 255, 344, 30206, 313, 775, 277, 17128, 285, 2513, 79, 253, 24545, 697, 253, 22194, 10151, 270, 27584, 285, 582, 705, 558, 1039, 253, 30206, 29847, 285, 2846, 16290, 314, 6014, 2591, 34, 5981, 248, 24768, 272, 28143, 417, 285, 538, 255, 25612, 341, 396, 543, 2237, 285, 326, 6918, 285, 253, 24768, 255, 1529, 23768, 28143, 417, 10420, 6821, 721, 1408, 3938, 255, 10685, 1408, 4909, 270, 12261, 69, 255, 34, 543, 29847, 276, 16290, 285, 538, 255, 292, 423, 9256, 285, 2513, 79, 538, 272, 253, 22194, 10151, 186, 31012, 877, 14498, 602, 289, 655, 2747, 417, 90, 186, 93, 1038, 577, 1209, 13282, 24906, 911, 12321, 2427, 29264, 285, 1266, 3443, 272, 4778, 31733, 254, 620, 1250, 285, 23293, 4778, 13303, 563, 272, 2559, 672, 326, 4721, 363, 24906, 272, 32161, 2427, 13630, 7687, 356, 32019, 322, 12865, 406, 864, 1266, 3443, 272, 4778, 270, 22415, 254, 620, 929, 1250, 285, 23293, 253, 4778, 2568, 3429, 2980, 16290, 13303, 563, 272, 32161, 409, 1197, 326, 4721, 363, 24906, 272, 2559, 93, 1, 960, 15861, 3647, 64, 1499, 474, 1283, 5137, 84, 7248, 248, 5089, 697, 248, 1687, 32555, 289, 1029, 74, 9574, 21346, 8535, 909, 2927, 9679, 5364, 38, 326, 253, 1687, 21346, 8535, 255, 822, 313, 32555, 289, 1029, 74, 9574, 909, 673, 313, 2216, 285, 5137, 84, 7248, 248, 5089, 697, 253, 21346, 8535, 9679, 5364, 38, 909, 42, 15, 26, 474, 35, 262, 374, 253, 7084, 538, 5364, 289, 6255, 38, 433, 253, 5173, 3194, 16753, 289, 525, 39, 11919, 270, 16155, 253, 5173, 3194, 579, 35, 255, 11950, 255, 332, 579, 38, 453, 253, 1120, 579, 448, 696, 253, 5173, 3194, 2969, 285, 253, 2436, 538, 255, 34, 255, 332, 516, 909, 1130, 276, 10444, 15, 1551, 474, 3136, 276, 5148, 2011, 285, 253, 17741, 396, 409, 326, 10970, 341, 253, 7084, 400, 11095, 255, 11095, 38, 255, 332, 416, 3248, 359, 652, 21034, 1421, 433, 253, 5173, 3194, 579, 35, 255, 11950, 255, 332, 579, 38, 11919, 909, 42, 15, 23, 474, 2928, 255, 4477, 253, 4276, 538, 5364, 11965, 253, 4276, 6255, 38, 255, 332, 253, 4276, 579, 5364, 313, 3386, 272, 253, 4276, 538, 5364, 255, 332, 253, 4276, 400, 5279, 3386, 272, 253, 4276, 6255, 38, 255, 7256, 253, 4276, 579, 5364, 652, 11965, 253, 4276, 400, 5279, 255, 549, 341, 253, 2097, 579, 36, 652, 11965, 253, 2097, 579, 37, 909, 8717, 396, 409, 326, 10970, 341, 973, 272, 253, 5173, 3194, 579, 35, 255, 11950, 255, 332, 579, 38, 652, 11965, 973, 272, 253, 5173, 3194, 579, 36, 289, 579, 37, 270, 3522, 253, 3169, 5173, 3194, 17420, 255, 39, 35, 255, 13394, 255, 24167, 255, 332, 579, 38, 2931, 650, 1750, 909, 3522, 253, 5089, 3173, 366, 4223, 579, 289, 8032, 650, 272, 253, 5173, 3194, 17420, 255, 39, 35, 255, 13394, 255, 24167, 255, 263, 579, 38, 652, 10549, 882, 253, 6782, 2436, 255, 332, 313, 5137, 84, 6513, 909, 2927, 396, 326, 5137, 84, 6513, 255, 332, 1985, 396, 326, 9679, 5364, 38, 909, 3522, 248, 5089, 620, 838, 5137, 84, 6513, 697, 253, 1687, 32555, 289, 1029, 74, 9574, 21346, 8535, 909, 50, 13290, 17688, 909, 2409, 7318, 517, 474, 340, 1135, 1687, 1868, 285, 5137, 84, 7248, 248, 5089, 697, 818, 3152, 309, 3689, 251, 270, 17405, 21034, 374, 871, 272, 253, 7084, 272, 253, 309, 3689, 251, 285, 1140, 253, 4223, 272, 253, 5089, 255, 1660, 3801, 650, 272, 253, 3194, 453, 396, 285, 248, 12402, 363, 253, 8032, 909, 600, 5084, 313, 785, 276, 31515, 2445, 12129, 15, 25, 289, 2445, 12129, 15, 1212, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2522, 360, 812, 904, 253, 6564, 272, 480, 2357, 1633, 911, 23143, 582, 10693, 935, 2218, 84, 255, 772, 640, 1109, 861, 3473, 678, 31332, 9502, 1197, 1012, 276, 253, 1119, 270, 14598, 272, 2554, 409, 326, 3224, 6257, 270, 673, 554, 253, 1909, 7849, 693, 289, 2804, 1079, 640, 1039, 341, 394, 10298, 253, 4916, 335, 2816, 1404, 270, 2148, 1018, 253, 1250, 1909, 255, 260, 9307, 397, 255, 332, 3164, 255, 2691, 255, 264, 313, 1575, 285, 5304, 1021, 1156, 3473, 4292, 285, 1404, 363, 2816, 363, 6936, 289, 6222, 314, 2281, 2554, 6401, 366, 16631, 289, 25277, 270, 9162, 1415, 23699, 2335, 289, 8931, 3004, 2084, 255, 1458, 363, 797, 1432, 802, 332, 797, 8085, 2106, 505, 3163, 285, 13159, 632, 2163, 2424, 289, 2521, 335, 1404, 270, 10527, 7932, 2434, 253, 6896, 1618, 289, 3815, 1404, 783, 1447, 806, 253, 2168, 270, 48, 4587, 985, 356, 344, 1190, 272, 13097, 722, 289, 8372, 406, 332, 25814, 1390, 985, 356, 344, 1190, 272, 20847, 1372, 406, 22313, 1110, 3167, 253, 3482, 272, 1404, 363, 2816, 363, 2172, 289, 3169, 270, 2148, 1018, 556, 9875, 1679, 255, 332, 8931, 2084, 285, 4499, 6435, 556, 1524, 255, 7887, 906, 3663, 2292, 409, 326, 9113, 314, 14802, 335, 818, 2163, 1214, 3435, 277, 2204, 272, 253, 1214, 554, 9524, 289, 8399, 270, 859, 1404, 582, 461, 15801, 253, 3303, 289, 4292, 360, 1309, 375, 253, 3401, 360, 693, 255, 1449, 558, 461, 1636, 270, 4206, 8247, 255, 1458, 4395, 17047, 789, 409, 1039, 253, 2753, 19720, 2002, 248, 2962, 650, 314, 42, 5208, 650, 2816, 12964, 891, 1275, 3048, 248, 15601, 29901, 9871, 2501, 4267, 1055, 14043, 861, 423, 17232, 253, 2002, 270, 46, 485, 79, 3254, 255, 249, 21230, 2859, 4007, 1509, 471, 1900, 448, 1255, 2167, 5972, 23844, 19808, 272, 1055, 15402, 554, 1415, 21987, 255, 344, 4619, 4707, 543, 461, 248, 2451, 650, 314, 6478, 253, 2163, 272, 6222, 255, 9790, 476, 7586, 24069, 253, 4292, 272, 720, 289, 1932, 270, 2318, 2343, 1175, 4675, 5141, 23202, 24967, 3334, 253, 4841, 1461, 272, 905, 4996, 255, 912, 3221, 1525, 255, 332, 15288, 1390, 1525, 20426, 335, 9672, 19106, 270, 673, 652, 4172, 611, 1021, 272, 253, 2292, 785, 285, 5304, 2398, 4292, 314, 4206, 253, 6474, 272, 8665, 13098, 1525, 15944, 409, 326, 15789, 270, 3720, 277, 8967, 16248, 285, 6142, 986, 248, 3270, 3806, 3435, 248, 2336, 1115, 272, 6896, 3728, 270, 4156, 6896, 268, 341, 3270, 3806, 721, 4292, 272, 11294, 13801, 1034, 255, 15565, 13511, 4091, 375, 18075, 7641, 4445, 255, 2691, 255, 2251, 12579, 28956, 270, 8966, 755, 1943, 359, 1156, 289, 777, 285, 326, 6257, 255, 1449, 672, 461, 326, 253, 1763, 9980, 1895, 285, 1679, 2816, 1404, 276, 2646, 289, 811, 253, 2191, 1280, 2104, 314, 7685, 253, 6564, 272, 480, 2357, 255, 13091, 729, 12456, 265, 748, 4587, 985, 335, 17384, 14553, 7004, 911, 340, 6564, 272, 253, 4394, 1247, 7228, 335, 6936, 289, 6222, 935, 2218, 84, 543, 27817, 366, 538, 2227, 255, 66, 596, 6522, 20287, 6564, 335, 1213, 1404, 289, 556, 3685, 270, 340, 871, 18461, 1247, 5022, 1741, 448, 253, 14985, 14061, 272, 12856, 6248, 276, 15734, 248, 1831, 1233, 4567, 270, 340, 965, 5670, 272, 253, 1247, 543, 8115, 276, 248, 4717, 366, 248, 5076, 272, 8372, 289, 3581, 453, 902, 3095, 270, 340, 1508, 5670, 5022, 1741, 276, 253, 14061, 554, 18029, 748, 4587, 985, 16391, 270, 2447, 1831, 31565, 476, 363, 10934, 248, 3521, 272, 8665, 21157, 15944, 453, 705, 1021, 7994, 21682, 2424, 255, 344, 3663, 4340, 3600, 84, 285, 248, 2692, 1684, 272, 5259, 314, 4284, 253, 3634, 4717, 3813, 255, 9790, 17798, 253, 8372, 270, 27149, 543, 1994, 1175, 9216, 270, 340, 15402, 5208, 253, 4214, 285, 4539, 904, 640, 6445, 289, 255, 292, 2635, 255, 889, 19125, 556, 3482, 270, 340, 1123, 8372, 1168, 838, 6835, 285, 2076, 1539, 289, 1199, 1324, 2065, 255, 11619, 1352, 2731, 453, 16248, 84, 285, 4020, 255, 332, 248, 3251, 272, 25345, 942, 363, 23703, 29889, 15052, 289, 30251, 12255, 24544, 314, 340, 1135, 272, 5587, 20327, 1949, 289, 2428, 12619, 9216, 2562, 7932, 289, 6168, 270, 600, 6484, 1197, 892, 270, 673, 313, 14384, 255, 263, 253, 393, 14658, 1135, 255, 29739, 285, 1618, 3359, 270, 974, 1123, 255, 344, 15402, 5208, 253, 1214, 285, 1900, 448, 253, 3581, 453, 248, 23703, 405, 413, 289, 248, 12255, 405, 413, 270, 3136, 255, 344, 15402, 5208, 253, 1214, 285, 6621, 253, 3080, 272, 253, 871, 4753, 272, 3581, 270, 1245, 3224, 7508, 253, 8195, 289, 26462, 1537, 1295, 272, 23703, 405, 413, 3581, 289, 4604, 271, 713, 366, 253, 6864, 21769, 6737, 272, 12255, 405, 413, 6736, 602, 270, 10434, 480, 255, 344, 1404, 3510, 755, 3874, 285, 1288, 272, 556, 12965, 289, 285, 902, 6193, 272, 2957, 255, 1458, 363, 528, 5408, 255, 84, 10207, 255, 332, 7178, 1143, 314, 3811, 253, 3012, 6736, 602, 2837, 724, 4546, 255, 1126, 3401, 3483, 32189, 724, 4230, 270, 340, 1214, 543, 1865, 285, 2595, 341, 253, 6736, 602, 272, 783, 3095, 1540, 3581, 2507, 1213, 23703, 405, 413, 289, 12255, 405, 413, 4091, 270, 465, 341, 1119, 255, 344, 2049, 272, 27361, 24544, 543, 5572, 314, 34, 1508, 3941, 785, 253, 16248, 285, 2762, 2572, 277, 3806, 543, 17938, 271, 265, 375, 7288, 529, 6364, 265, 270, 340, 2495, 272, 253, 335, 31707, 2794, 364, 255, 344, 7993, 276, 253, 3226, 272, 253, 16248, 882, 696, 253, 11622, 10569, 16819, 366, 253, 2066, 255, 262, 253, 3078, 11418, 270, 859, 253, 7993, 313, 448, 253, 17842, 272, 253, 16248, 255, 344, 16248, 289, 12336, 359, 276, 248, 1515, 5140, 285, 253, 2811, 289, 255, 7256, 255, 344, 3806, 1349, 326, 7288, 529, 6364, 265, 270, 859, 253, 335, 31707, 2794, 364, 313, 448, 253, 3226, 375, 4706, 272, 253, 16248, 255, 344, 2066, 22609, 345, 1559, 272, 253, 11622, 10569, 255, 822, 313, 13370, 285, 253, 2811, 255, 332, 253, 3806, 313, 17938, 271, 265, 270, 16971, 253, 25035, 255, 13231, 21157, 3874, 453, 902, 3095, 724, 3510, 289, 4628, 5923, 345, 5313, 3641, 314, 8149, 308, 724, 652, 3583, 270, 2148, 3851, 448, 253, 2115, 272, 248, 4265, 255, 2236, 22585, 285, 21402, 255, 6351, 12083, 341, 783, 1168, 1021, 4784, 8372, 1894, 2165, 1168, 8372, 341, 724, 11788, 375, 4324, 30569, 270, 340, 3080, 272, 755, 8372, 724, 1232, 2398, 285, 277, 3806, 554, 2508, 285, 2006, 3904, 375, 30337, 453, 2097, 285, 2097, 270, 340, 10634, 543, 253, 3078, 1123, 272, 277, 3806, 366, 248, 4918, 11434, 4265, 831, 270, 340, 26324, 15106, 1451, 6572, 3710, 4265, 2711, 289, 25345, 335, 845, 760, 270, 3295, 755, 871, 15944, 255, 1126, 3095, 366, 612, 4265, 3080, 724, 5572, 314, 2631, 253, 4717, 7725, 255, 344, 1214, 7124, 485, 3237, 285, 253, 748, 4587, 985, 16391, 270, 340, 23056, 289, 1115, 272, 1679, 24498, 271, 270, 340, 2010, 10733, 276, 1247, 1657, 543, 785, 276, 248, 10213, 3234, 19447, 3255, 1109, 2762, 253, 905, 2018, 697, 277, 3806, 453, 800, 25035, 270, 340, 1214, 20073, 25445, 1284, 453, 650, 14465, 25035, 285, 1750, 270, 340, 15402, 5208, 2084, 697, 17861, 20988, 285, 973, 3806, 314, 340, 1404, 724, 2282, 341, 13159, 632, 13154, 476, 253, 1112, 1648, 3874, 270, 8966, 253, 3080, 359, 902, 255, 344, 2393, 313, 253, 1112, 270, 2056, 341, 2010, 255, 344, 1404, 8709, 448, 253, 990, 2756, 391, 272, 25061, 255, 344, 2105, 8111, 272, 248, 25364, 255, 332, 253, 4502, 267, 10207, 272, 248, 3027, 270, 1245, 3510, 3641, 289, 15505, 289, 1232, 1509, 26286, 862, 697, 811, 1288, 3080, 2398, 285, 253, 8705, 272, 253, 3095, 270, 7229, 1253, 248, 311, 1794, 7932, 3234, 543, 253, 4394, 1933, 272, 973, 3806, 1687, 314, 340, 3078, 3940, 272, 1213, 253, 4717, 289, 8673, 2689, 13346, 272, 480, 1247, 543, 285, 870, 4214, 1290, 253, 2646, 255, 6201, 730, 1215, 253, 4929, 255, 999, 3095, 270, 3013, 313, 277, 25942, 277, 25942, 911, 1099, 313, 23703, 29889, 697, 248, 26324, 911, 3013, 409, 532, 19180, 253, 4706, 272, 1249, 4265, 366, 1249, 1648, 1175, 248, 8222, 21240, 409, 1197, 879, 340, 4382, 272, 942, 10598, 19720, 3663, 359, 2343, 2677, 864, 15046, 253, 17092, 2605, 289, 285, 1223, 341, 1524, 313, 2223, 23656, 289, 976, 270, 23249, 571, 2010, 313, 6850, 276, 253, 901, 270, 859, 19720, 10837, 255, 13453, 272, 556, 2168, 255, 9108, 253, 11118, 23216, 272, 556, 6551, 363, 6804, 363, 640, 1999, 556, 5740, 255, 344, 2129, 272, 556, 6551, 255, 344, 19720, 255, 332, 253, 1217, 3663, 558, 326, 3224, 1339, 314, 4350, 270, 16124, 538, 270, 21857, 1644, 313, 14222, 272, 253, 6454, 272, 27211, 985, 448, 253, 16922, 346, 14061, 272, 12856, 6248, 270, 6478, 480, 255, 249, 10150, 363, 9542, 1348, 16, 9819, 1348, 7060, 27211, 985, 448, 253, 10326, 1472, 84, 14061, 272, 6979, 547, 20749, 289, 9216, 253, 31726, 4769, 5746, 448, 253, 14985, 14061, 272, 12856, 6248, 276, 15734, 270, 21857, 1644, 4707, 1055, 2582, 270, 37, 270, 247, 27211, 985, 453, 4798, 18274, 2268, 270, 1682, 620, 5273, 22995, 289, 2333, 12371, 1525, 2035, 1396, 276, 253, 2579, 17806, 11821, 270, 12477, 3662, 12053, 255, 344, 10959, 272, 1628, 547, 255, 332, 2905, 27529, 270, 465, 2326, 285, 12851, 1251, 289, 28495, 1055, 1105, 1348, 430, 12274, 270, 4350, 270, 21857, 1644, 18771, 5673, 289, 12949, 1404, 554, 4368, 314, 21857, 1644, 255, 4350, 270, 16124, 538, 3275, 13091, 729, 12456, 265, 748, 4587, 985, 335, 17384, 14553, 7004, 802, 340, 525, 16002, 4144, 1348, 64, 18, 15, 21, 356, 31770, 64, 1605, 19, 3321, 21, 14, 22, 15, 1, 2895, 2917, 366, 12252, 11958, 186, 2895, 15943, 16270, 366, 12252, 11958, 18033, 253, 13190, 289, 15197, 272, 4171, 289, 24711, 345, 253, 2005, 270, 340, 937, 313, 1625, 345, 248, 2191, 5915, 289, 4592, 11442, 2379, 335, 248, 1114, 720, 314, 31497, 11958, 356, 5964, 20892, 120, 406, 10583, 2120, 453, 253, 5928, 2005, 289, 8861, 285, 253, 1046, 7821, 272, 253, 2360, 1808, 270, 2631, 248, 2136, 720, 255, 344, 12252, 11958, 3084, 882, 253, 1046, 3658, 272, 253, 2360, 1808, 289, 7566, 253, 10138, 2057, 1363, 253, 1046, 270, 340, 4474, 1400, 272, 253, 2360, 1808, 313, 21935, 255, 26954, 2258, 1046, 7427, 289, 6619, 15248, 1042, 253, 12677, 314, 340, 32456, 937, 272, 253, 20005, 313, 461, 4112, 433, 6713, 8144, 366, 14534, 375, 16064, 270, 4206, 448, 9081, 14431, 5331, 272, 725, 285, 64, 10386, 12006, 36, 255, 344, 937, 313, 461, 5083, 314, 49, 24900, 9005, 366, 16738, 281, 3402, 67, 8744, 186, 49, 24900, 22968, 366, 277, 20005, 1625, 345, 16738, 281, 3402, 67, 8744, 476, 248, 4675, 32456, 937, 270, 340, 9005, 14054, 752, 253, 2191, 17404, 9916, 27294, 272, 1391, 2526, 270, 40, 5232, 276, 253, 2526, 2856, 6683, 341, 2336, 253, 267, 41, 289, 831, 277, 17404, 9916, 27294, 335, 253, 1352, 255, 23164, 268, 14993, 345, 253, 2526, 25334, 314, 2056, 16738, 281, 3402, 67, 8744, 255, 1662, 5915, 409, 326, 16863, 483, 433, 5562, 1633, 414, 2164, 253, 2005, 272, 253, 9005, 255, 5918, 4811, 24567, 5472, 366, 8038, 276, 253, 1874, 285, 831, 277, 3039, 1214, 255, 550, 1644, 253, 267, 41, 270, 340, 5485, 2823, 27064, 11958, 356, 41, 20, 48, 12, 406, 21206, 6311, 253, 1046, 7821, 272, 253, 4171, 3629, 31070, 20486, 314, 600, 901, 10342, 248, 3259, 5281, 276, 17430, 255, 26954, 556, 2283, 289, 9616, 268, 556, 2508, 285, 4550, 3068, 345, 253, 6737, 314, 16795, 1441, 2496, 2731, 476, 838, 6034, 7029, 3675, 285, 22587, 64, 23406, 9174, 27, 993, 18, 14, 6969, 797, 29772, 272, 32456, 2057, 345, 23750, 289, 612, 1602, 14, 1814, 555, 6737, 2432, 340, 32456, 937, 543, 6598, 345, 253, 1387, 1136, 17465, 578, 340, 3678, 289, 22291, 724, 3760, 433, 253, 24367, 1192, 3678, 7335, 400, 10669, 393, 4858, 8678, 314, 340, 3678, 289, 22291, 724, 3760, 433, 253, 24367, 1192, 3678, 7335, 1048, 2149, 323, 32531, 560, 8168, 314, 340, 5915, 272, 2913, 29839, 303, 5125, 315, 7578, 253, 2283, 272, 4171, 1363, 64, 1912, 2954, 705, 341, 15374, 6737, 8632, 476, 1319, 730, 64, 17, 15, 19, 1186, 999, 253, 3345, 966, 272, 17465, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8160, 10792, 360, 335, 10714, 268, 909, 2080, 272, 849, 4988, 8638, 10584, 626, 558, 2893, 360, 1363, 64, 18, 2552, 1600, 909, 5341, 285, 26005, 474, 5920, 17, 14, 22, 4872, 17, 14, 16486, 474, 12, 9757, 64, 24, 2947, 31942, 13683, 22, 474, 36, 11851, 64, 17, 474, 1577, 17, 186, 46, 58, 400, 11851, 356, 22, 1613, 3193, 400, 31546, 251, 414, 36, 11851, 643, 289, 1012, 64, 643, 1186, 3557, 345, 632, 2925, 8607, 23037, 474, 3238, 3528, 186, 37, 3556, 34, 5824, 52, 186, 10930, 49, 186, 37, 2548, 4557, 29341, 186, 18023, 17922, 13140, 19159, 186, 9526, 19947, 414, 13401, 909, 1132, 359, 929, 4147, 276, 480, 7974, 314, 15636, 2890, 23199, 474, 960, 10940, 2090, 272, 248, 14776, 474, 2409, 17816, 938, 325, 469, 14776, 276, 6302, 474, 29755, 469, 14776, 313, 253, 25164, 272, 248, 4467, 1120, 452, 356, 73, 255, 76, 823, 822, 7162, 276, 942, 248, 2559, 341, 452, 313, 2195, 776, 8082, 366, 253, 1687, 871, 5352, 2436, 909, 3737, 255, 581, 812, 453, 253, 2049, 272, 776, 8082, 390, 341, 255, 11097, 2436, 359, 776, 8082, 861, 640, 10005, 345, 248, 1112, 5173, 1515, 375, 253, 1666, 272, 5939, 453, 433, 755, 2436, 313, 4451, 909, 8564, 474, 90, 580, 22, 255, 19, 89, 1241, 22, 90, 1241, 20, 580, 17, 255, 89, 580, 19, 90, 1019, 22, 359, 1831, 3401, 272, 5173, 3194, 255, 772, 342, 580, 5461, 2615, 823, 90, 580, 89, 19, 255, 90, 580, 89, 1241, 18, 21946, 1147, 461, 2076, 5173, 3194, 909, 465, 480, 2357, 255, 581, 558, 326, 14457, 697, 5173, 3194, 276, 871, 4283, 914, 270, 340, 2147, 3102, 272, 5173, 1515, 276, 871, 4283, 313, 6834, 363, 1942, 1064, 1241, 1639, 1241, 68, 580, 17, 474, 5324, 255, 66, 289, 275, 359, 253, 12335, 272, 1422, 289, 342, 11919, 289, 259, 313, 1747, 363, 253, 26161, 909, 2409, 1099, 313, 253, 9069, 276, 3750, 2549, 859, 536, 6875, 248, 5173, 1515, 345, 248, 20071, 13339, 356, 57, 58, 406, 14601, 255, 1660, 536, 409, 1200, 253, 14301, 1405, 272, 253, 5173, 1515, 366, 3121, 285, 253, 1422, 1019, 8184, 270, 600, 14301, 1405, 375, 253, 4276, 877, 253, 5173, 1515, 289, 253, 2451, 1422, 1019, 8184, 313, 18947, 363, 9069, 272, 248, 1515, 909, 465, 253, 16179, 1861, 255, 581, 409, 8985, 902, 3194, 9626, 882, 1112, 1120, 356, 12584, 247, 406, 772, 476, 902, 14301, 5457, 366, 253, 1422, 1019, 8184, 270, 600, 14301, 1405, 313, 18947, 363, 253, 9069, 272, 253, 1515, 909, 6309, 248, 1120, 255, 581, 409, 476, 9379, 966, 272, 5173, 3194, 9626, 882, 396, 270, 600, 2122, 471, 285, 476, 1750, 2559, 335, 253, 1112, 1515, 285, 326, 21762, 6834, 345, 253, 2445, 58, 6175, 909, 6014, 474, 34, 5173, 1515, 9626, 882, 253, 5200, 289, 2507, 253, 9069, 272, 64, 2857, 7829, 263, 64, 18594, 7829, 704, 263, 1019, 2857, 7829, 262, 253, 342, 1019, 8184, 2778, 909, 3295, 253, 1861, 1123, 255, 581, 409, 1636, 871, 596, 2436, 1942, 1577, 974, 818, 1661, 1515, 255, 347, 253, 9069, 313, 17246, 255, 1660, 396, 558, 652, 476, 253, 9069, 272, 309, 7389, 1241, 13485, 255, 704, 1529, 309, 313, 818, 2451, 7902, 909, 1577, 340, 4276, 4651, 276, 4597, 14390, 1216, 14093, 3559, 313, 3022, 363, 2451, 1894, 253, 4276, 276, 8353, 14093, 3559, 313, 2621, 363, 2962, 909, 859, 253, 14301, 1405, 272, 818, 1515, 453, 253, 2451, 1422, 1019, 8184, 313, 17246, 13, 704, 1660, 800, 9069, 313, 1687, 433, 18489, 17246, 289, 313, 3369, 6834, 433, 281, 270, 10940, 2090, 313, 652, 1747, 363, 253, 608, 2185, 744, 909, 3431, 8405, 4727, 29750, 13485, 409, 914, 10005, 276, 1726, 17, 13, 5920, 2961, 406, 263, 12914, 5920, 30581, 17, 62, 909, 21168, 255, 6482, 1687, 2436, 416, 356, 89, 18, 255, 90, 18, 406, 332, 538, 2615, 19, 255, 90, 19, 406, 7546, 276, 253, 4137, 289, 248, 1515, 9626, 882, 755, 2436, 270, 1130, 604, 253, 4610, 272, 9069, 255, 581, 409, 2921, 474, 2409, 3429, 9572, 2090, 326, 2962, 2549, 3300, 253, 9069, 313, 1199, 1156, 7347, 276, 253, 5173, 1515, 255, 581, 1349, 1409, 1565, 272, 800, 632, 253, 1156, 2436, 909, 1577, 3300, 253, 9069, 580, 12008, 704, 13485, 704, 9, 26722, 253, 17246, 285, 326, 2451, 341, 313, 255, 3307, 313, 4651, 276, 253, 4597, 14390, 1216, 14093, 3559, 406, 332, 4133, 253, 9069, 409, 2451, 375, 2962, 6921, 3017, 253, 31134, 272, 4276, 909, 1130, 536, 812, 453, 253, 3012, 20191, 5091, 341, 253, 18489, 17246, 27581, 2451, 276, 965, 289, 253, 3704, 31134, 270, 2447, 396, 313, 2962, 276, 1508, 289, 10096, 31134, 270, 3431, 255, 251, 253, 3468, 272, 480, 255, 581, 672, 2222, 1942, 18, 270, 859, 64, 17, 2870, 704, 13485, 4613, 2857, 2961, 474, 10940, 2090, 558, 326, 2451, 363, 18489, 17246, 27581, 27517, 301, 474, 18, 270, 859, 64, 2857, 2961, 4613, 13485, 4613, 5920, 2961, 474, 10940, 2090, 558, 326, 2962, 363, 18489, 17246, 27581, 2962, 474, 1577, 859, 17246, 255, 822, 1633, 253, 14301, 1405, 3724, 1422, 1019, 8184, 313, 4451, 270, 600, 558, 2076, 248, 5173, 1515, 5140, 285, 1422, 1019, 8184, 909, 20799, 255, 347, 17246, 580, 2857, 30581, 1660, 253, 1515, 558, 326, 13370, 285, 1422, 1926, 8184, 375, 5140, 285, 253, 342, 1019, 8184, 909, 1577, 974, 253, 23857, 416, 2615, 18, 255, 90, 18, 406, 332, 538, 2615, 19, 255, 90, 19, 823, 344, 9069, 558, 5966, 363, 1942, 3431, 255, 2236, 253, 1861, 2436, 255, 581, 409, 5665, 253, 9069, 363, 248, 966, 696, 5493, 20821, 1074, 289, 253, 3559, 909, 2148, 253, 3559, 1868, 1633, 255, 14597, 375, 13560, 270, 859, 253, 9069, 313, 2451, 255, 1660, 253, 1515, 558, 326, 2958, 1894, 24796, 453, 2299, 285, 1250, 345, 253, 1422, 956, 8184, 255, 7485, 335, 2451, 9069, 255, 1441, 10357, 1894, 24796, 453, 1250, 285, 2299, 3559, 909, 340, 6151, 1461, 375, 253, 8240, 272, 9069, 5493, 253, 20821, 1074, 272, 253, 1515, 270, 40, 15294, 253, 6151, 1461, 338, 1481, 457, 313, 253, 1515, 909, 2409, 919, 582, 360, 1440, 277, 3102, 721, 9069, 23277, 831, 2549, 29755, 469, 27853, 409, 326, 6834, 721, 902, 3080, 6921, 3017, 253, 1697, 272, 1030, 1895, 366, 471, 335, 248, 1515, 270, 1294, 3080, 359, 363, 4639, 1942, 1577, 10082, 831, 474, 1577, 9231, 956, 9568, 2090, 831, 474, 1577, 5397, 956, 4286, 831, 474, 1577, 10940, 2090, 1019, 2809, 946, 831, 474, 1577, 6500, 946, 1019, 575, 474, 1577, 19109, 831, 375, 13370, 831, 474, 6309, 253, 3102, 276, 818, 831, 255, 581, 409, 3224, 7043, 396, 721, 818, 612, 5619, 831, 270, 2927, 554, 1409, 248, 2147, 831, 272, 248, 5173, 1515, 289, 536, 558, 2415, 285, 1440, 396, 721, 253, 9069, 23277, 831, 909, 1611, 255, 581, 476, 474, 45, 414, 1064, 1241, 1639, 1241, 68, 580, 17, 704, 7948, 22859, 2793, 15, 1683, 18, 1613, 6137, 253, 2151, 3253, 285, 7043, 818, 3102, 721, 9069, 23277, 831, 1942, 4285, 64, 18, 406, 22646, 253, 1687, 3102, 433, 253, 9904, 272, 342, 705, 363, 285, 1039, 396, 11965, 285, 64, 18, 909, 2164, 14519, 3102, 356, 18, 406, 1639, 275, 255, 581, 1012, 474, 5233, 14712, 30789, 1241, 90, 13975, 68, 14712, 2991, 17, 474, 4285, 64, 19, 406, 5973, 342, 345, 650, 2097, 356, 51, 8923, 406, 332, 3971, 632, 612, 2377, 345, 253, 612, 2097, 474, 90, 10108, 9, 66, 14712, 30789, 7172, 356, 68, 14712, 1613, 11, 4727, 29750, 5973, 253, 968, 272, 342, 363, 2451, 909, 6506, 16026, 3102, 313, 276, 9069, 23277, 831, 270, 340, 2147, 3102, 276, 9069, 23277, 831, 313, 363, 27, 704, 90, 580, 78, 89, 1241, 36, 270, 2928, 6621, 253, 4349, 3102, 366, 480, 2147, 3102, 285, 1012, 253, 1461, 272, 9069, 289, 342, 1019, 2809, 946, 909, 78, 10108, 9, 66, 14712, 406, 332, 400, 10108, 9, 68, 14712, 1613, 6014, 474, 21572, 64, 19, 89, 1019, 21, 90, 1926, 1456, 580, 17, 721, 253, 9069, 23277, 831, 474, 37, 1121, 268, 253, 1687, 3102, 433, 64, 21, 255, 581, 1012, 474, 17, 15, 22, 89, 1019, 90, 1019, 21, 580, 17, 8405, 251, 21560, 4978, 536, 1012, 474, 90, 580, 17, 15, 22, 89, 1019, 21, 474, 2409, 919, 582, 360, 1140, 253, 9069, 272, 248, 1515, 453, 277, 3102, 2549, 5213, 3102, 861, 10407, 721, 9069, 956, 2809, 946, 831, 255, 1660, 800, 9069, 409, 326, 3224, 4349, 270, 1611, 255, 7546, 253, 3102, 255, 5886, 7043, 396, 721, 9069, 1019, 2809, 946, 831, 433, 253, 1135, 363, 7001, 276, 253, 2643, 19783, 270, 3136, 433, 10747, 253, 4349, 3102, 366, 253, 2147, 3102, 272, 9069, 1019, 2809, 946, 831, 255, 9568, 2090, 409, 326, 4349, 909, 6014, 474, 1099, 313, 253, 9069, 272, 253, 1515, 6834, 363, 342, 10108, 20, 89, 1241, 22, 474, 1130, 253, 1687, 3102, 313, 2865, 276, 9069, 23277, 831, 255, 549, 536, 409, 3233, 2222, 8405, 9568, 2090, 580, 78, 10108, 20, 474, 6014, 474, 3797, 253, 9069, 272, 253, 1515, 6834, 363, 64, 1912, 89, 956, 23, 90, 580, 1058, 474, 37, 1121, 268, 253, 1687, 3102, 433, 64, 23, 8405, 21, 89, 1019, 90, 580, 19, 474, 250, 2747, 4978, 276, 253, 9069, 1019, 2809, 946, 831, 8405, 90, 580, 21, 89, 1019, 19, 474, 2164, 10747, 255, 581, 1012, 9069, 580, 21, 909, 2467, 255, 344, 1461, 272, 9069, 580, 21, 5493, 255, 1554, 366, 253, 1959, 276, 650, 3154, 272, 1422, 255, 90, 3962, 433, 2172, 1915, 909, 10940, 2090, 272, 248, 16073, 1, 365, 3902, 1878, 8012, 1612, 3543, 421, 20849, 21282, 478, 1160, 384, 856, 5090, 4039, 421, 5414, 5441, 702, 15796, 520, 25143, 2454, 429, 439, 14132, 421, 5436, 10956, 2243, 22367, 8563, 702, 13072, 546, 6149, 9811, 429, 869, 343, 3902, 1878, 8012, 1612, 3543, 702, 2100, 15633, 466, 20849, 21282, 478, 1160, 384, 856, 593, 1976, 429, 255, 7388, 8770, 466, 5194, 5269, 1617, 429, 255, 8232, 343, 3902, 1878, 8012, 1612, 3543, 702, 6895, 11431, 1193, 4099, 6073, 6566, 5414, 31767, 669, 24426, 4915, 255, 365, 11254, 22045, 593, 17913, 961, 29190, 546, 1051, 23521, 20628, 17478, 7207, 593, 5441, 421, 5436, 10956, 2243, 22367, 8563, 702, 1695, 5235, 2454, 439, 3567, 1739, 869, 6331, 9310, 2410, 1486, 466, 13595, 1429, 3943, 786, 26003, 2316, 21212, 20849, 21282, 478, 1160, 384, 856, 1471, 692, 9894, 5283, 766, 1445, 429, 439, 3567, 1739, 869, 343, 3902, 1878, 8012, 1612, 3543, 466, 28070, 13807, 1727, 801, 639, 3917, 15602, 2059, 4782, 684, 739, 14700, 26478, 5781, 10448, 12587, 9198, 439, 19518, 421, 1907, 8012, 1612, 3543, 421, 1108, 16815, 576, 26072, 1742, 280, 466, 786, 439, 9781, 22367, 702, 1739, 869, 3590, 21200, 466, 2719, 546, 343, 3902, 1878, 8012, 1612, 3543, 520, 8501, 576, 2719, 546, 440, 1490, 809, 5487, 22301, 5283, 1307, 2262, 2187, 429, 439, 13021, 17636, 27095, 593, 31096, 1702, 520, 2262, 2297, 429, 439, 9781, 22367, 8563, 702, 1695, 940, 6149, 9811, 869, 8012, 1612, 3543, 421, 1108, 16815, 546, 4672, 2864, 520, 940, 15390, 429, 439, 10614, 4672, 2864, 692, 739, 14700, 5983, 13679, 20206, 9576, 669, 8012, 1612, 3543, 421, 13645, 546, 2872, 836, 429, 961, 14132, 466, 6532, 574, 12880, 736, 14292, 669, 2276, 11982, 5441, 466, 6532, 574, 12880, 736, 14292, 669, 3577, 9607, 429, 439, 4590, 14313, 421, 19515, 669, 940, 9983, 1279, 6532, 574, 12880, 766, 2297, 429, 439, 14132, 421, 5436, 10956, 702, 343, 3902, 1878, 8012, 1612, 3543, 3279, 20849, 21282, 3771, 1429, 4039, 421, 5414, 15796, 1471, 520, 10174, 7909, 539, 1490, 1816, 1486, 546, 12769, 546, 2454, 2170, 439, 14769, 1287, 10268, 10174, 4342, 5441, 546, 10805, 4823, 940, 15626, 546, 1108, 19515, 546, 3316, 23521, 20628, 17478, 7207, 520, 12082, 520, 439, 3172, 2243, 22367, 8563, 421, 15796, 421, 11430, 507, 421, 1793, 13072, 520, 4174, 546, 4342, 5441, 702, 3168, 23521, 20628, 17478, 7207, 26126, 593, 2454, 439, 25950, 692, 7612, 429, 869, 3866, 14313, 421, 19515, 669, 940, 5441, 421, 1907, 1550, 19734, 546, 7400, 1193, 429, 439, 8752, 7023, 5441, 546, 3168, 464, 3987, 305, 4964, 576, 10687, 1471, 421, 1037, 1051, 1550, 16189, 12120, 684, 1614, 421, 5414, 31767, 669, 24426, 856, 4184, 1561, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 12739, 253, 3559, 289, 8240, 1619, 474, 18, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 18, 270, 340, 1619, 4335, 255, 484, 4283, 289, 1687, 16, 3988, 878, 186, 20, 12217, 359, 12455, 276, 253, 6945, 2151, 270, 4983, 2794, 7250, 359, 578, 82, 18, 30, 19, 15, 22, 11, 728, 27054, 1626, 36, 186, 82, 19, 30, 20, 15, 17, 11, 728, 27054, 1626, 36, 186, 82, 20, 509, 20, 15, 22, 11, 728, 27054, 1626, 474, 23434, 253, 3559, 289, 8240, 272, 9219, 18, 186, 19, 270, 3030, 12934, 4723, 186, 39, 30, 76, 82, 63, 19, 31511, 63, 19, 474, 20, 270, 340, 3636, 448, 248, 2391, 186, 5884, 255, 74, 785, 273, 30, 76, 82, 63, 19, 31511, 63, 19, 255, 344, 5255, 272, 9219, 20, 16363, 26, 11, 728, 63, 26, 5640, 20, 15, 22, 11, 728, 27054, 1626, 6848, 19, 12803, 17, 15, 22, 6848, 19, 509, 18, 15, 19, 11, 728, 27054, 1626, 186, 82, 19, 14492, 26, 11, 728, 63, 26, 5640, 20, 11, 728, 27054, 1626, 6848, 19, 12803, 17, 15, 1489, 6848, 19, 509, 20, 15, 1912, 11, 728, 27054, 1626, 47, 186, 317, 8522, 285, 1140, 253, 4276, 272, 9219, 18, 255, 1432, 916, 2062, 4090, 396, 2901, 13145, 255, 74, 812, 360, 409, 693, 5579, 2052, 1175, 4276, 7012, 255, 30637, 360, 474, 8160, 9403, 3814, 30367, 1942, 1577, 29333, 81, 18220, 950, 81, 1118, 186, 13762, 2091, 578, 24, 15, 26, 29328, 186, 20653, 578, 9757, 186, 19, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 67, 13667, 2219, 344, 4276, 453, 9219, 20, 285, 9219, 18, 313, 64, 2857, 2308, 474, 20, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 20945, 7159, 360, 1676, 253, 3559, 289, 8240, 272, 253, 2868, 345, 9219, 18, 186, 2318, 3102, 313, 4708, 270, 6164, 255, 2120, 186, 39, 580, 76, 9219, 66, 9219, 67, 2735, 83, 19, 186, 475, 253, 2868, 877, 871, 12217, 9219, 66, 289, 9219, 67, 474, 21, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 5846, 627, 255, 74, 1215, 30138, 253, 3914, 2790, 396, 543, 4674, 255, 74, 812, 479, 20074, 285, 693, 186, 39, 30, 82, 18, 82, 19, 31511, 63, 19, 3778, 772, 811, 582, 2062, 582, 480, 255, 317, 2901, 13145, 406, 1662, 1949, 2219, 9743, 396, 326, 16225, 276, 3351, 29546, 22, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 2631, 360, 5266, 579, 30, 76, 82, 18, 82, 19, 31511, 63, 19, 255, 332, 2128, 697, 904, 3559, 341, 2868, 313, 10661, 255, 1660, 15230, 360, 11511, 396, 721, 3351, 909, 23, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 549, 582, 2062, 5266, 253, 5255, 453, 9219, 18, 14, 82, 20, 255, 332, 9219, 18, 14, 82, 19, 7294, 52, 255, 5846, 627, 253, 1949, 313, 2901, 24470, 268, 585, 474, 24, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 1065, 5266, 253, 2868, 453, 9219, 20, 345, 9219, 18, 255, 332, 253, 2868, 453, 9219, 19, 345, 9219, 18, 909, 1065, 3711, 476, 285, 5266, 818, 5255, 255, 344, 5255, 2173, 359, 2843, 276, 253, 1619, 4335, 270, 340, 1619, 313, 285, 5266, 2868, 255, 1297, 5255, 270, 1245, 359, 871, 902, 2018, 270, 29362, 313, 461, 5255, 270, 29362, 313, 461, 5255, 270, 29362, 313, 461, 5255, 270, 29362, 313, 461, 5255, 909, 25, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 2850, 2062, 2128, 2062, 4755, 396, 255, 772, 811, 916, 360, 3167, 248, 6945, 861, 253, 650, 5255, 543, 12474, 255, 247, 480, 1576, 632, 253, 12217, 359, 837, 19401, 474, 26, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 43, 12689, 452, 378, 6057, 474, 3030, 414, 24879, 13654, 474, 26407, 13628, 253, 2868, 461, 253, 5255, 270, 340, 2868, 9219, 18, 14, 82, 20, 313, 1942, 2113, 39, 580, 76, 299, 1164, 2044, 92, 82, 64, 18, 9219, 64, 20, 1736, 83, 63, 19, 13571, 340, 2868, 9219, 18, 14, 82, 19, 15711, 909, 2113, 39, 580, 76, 299, 1164, 2044, 92, 82, 64, 18, 9219, 64, 19, 1736, 83, 63, 19, 13571, 1065, 409, 1140, 253, 4276, 276, 9219, 18, 9662, 1018, 253, 16276, 1295, 270, 2928, 2026, 713, 844, 9730, 289, 5951, 2598, 909, 728, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 30637, 360, 1199, 1331, 335, 253, 870, 255, 74, 5687, 1865, 285, 1012, 396, 474, 1298, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 2850, 357, 2219, 549, 1018, 253, 267, 17955, 20276, 10136, 255, 4477, 32081, 313, 1724, 396, 916, 326, 186, 67, 63, 19, 29571, 63, 19, 1934, 63, 19, 3778, 1660, 479, 2598, 406, 27, 30978, 347, 10091, 632, 2062, 13531, 360, 632, 335, 253, 870, 474, 1058, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 42, 3711, 2901, 1290, 341, 2121, 1833, 255, 772, 861, 360, 1223, 486, 867, 536, 409, 870, 3338, 360, 861, 4384, 1250, 375, 4708, 909, 1551, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 2850, 357, 255, 344, 5255, 272, 64, 18, 285, 5255, 64, 20, 313, 356, 26, 11, 728, 63, 26, 5640, 20, 15, 22, 11, 728, 27054, 1626, 5640, 19, 15, 22, 11, 728, 27054, 1626, 16730, 17, 15, 20, 6848, 19, 186, 509, 25, 15, 3328, 11, 728, 27054, 2253, 47, 186, 1660, 255, 7542, 64, 18, 285, 64, 19, 313, 356, 26, 11, 728, 63, 26, 5640, 20, 11, 728, 27054, 1626, 5640, 19, 15, 22, 11, 728, 27054, 1626, 16730, 17, 15, 22, 6848, 19, 580, 19, 15, 24, 11, 728, 27054, 2253, 186, 4922, 2062, 476, 755, 64, 19, 12217, 2062, 476, 285, 582, 267, 4373, 450, 20276, 253, 287, 388, 1175, 335, 253, 7012, 2097, 479, 3964, 248, 2962, 3668, 277, 84, 474, 1499, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 28191, 255, 581, 359, 5154, 285, 1012, 13992, 1657, 270, 1507, 2232, 313, 3191, 17282, 270, 465, 253, 15540, 360, 1223, 276, 7949, 4450, 18, 255, 344, 3264, 877, 12217, 64, 18, 289, 64, 20, 313, 461, 64, 17, 15, 20, 78, 270, 340, 3264, 877, 12217, 64, 18, 289, 64, 19, 313, 461, 64, 17, 15, 22, 78, 270, 1507, 755, 359, 253, 11134, 360, 785, 276, 253, 8592, 272, 253, 4804, 909, 6456, 414, 822, 272, 253, 871, 7832, 360, 4525, 5220, 313, 253, 2443, 7235, 272, 253, 12217, 2549, 5426, 255, 347, 532, 672, 1205, 667, 315, 2781, 360, 12950, 6212, 3214, 1018, 253, 2285, 953, 7542, 1045, 2446, 360, 2901, 1676, 356, 263, 939, 1676, 406, 3, 4770, 5488, 673, 6704, 341, 360, 359, 461, 2901, 14619, 3482, 285, 904, 360, 359, 3463, 375, 904, 536, 359, 7570, 909, 1204, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 2850, 2219, 5846, 627, 697, 341, 255, 772, 479, 3964, 396, 248, 2483, 596, 253, 2443, 7235, 313, 253, 650, 285, 253, 2299, 270, 344, 2338, 2062, 22770, 253, 650, 285, 253, 1250, 313, 285, 1223, 253, 837, 19401, 4804, 341, 9219, 18, 4400, 909, 1456, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 28191, 255, 18382, 335, 25725, 341, 725, 270, 22978, 777, 285, 860, 265, 8243, 253, 4804, 1018, 253, 2443, 11134, 877, 253, 12217, 909, 1626, 270, 22512, 64, 2510, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 2899, 1619, 255, 74, 3101, 2062, 2865, 5966, 253, 2868, 275, 15719, 9219, 18, 289, 9219, 19, 255, 1901, 3363, 2062, 5966, 253, 2868, 877, 9219, 18, 1790, 82, 20, 8777, 7387, 8, 427, 2062, 777, 285, 3167, 248, 6945, 6984, 253, 837, 19401, 4804, 345, 9219, 18, 6582, 344, 4916, 285, 253, 1250, 406, 2549, 1212, 270, 22512, 64, 2296, 255, 993, 17, 474, 1984, 10571, 7663, 315, 7735, 474, 27375, 516, 1098, 11240, 186, 3030, 414, 24879, 13654, 474, 51, 410, 370, 1249, 1833, 4450, 1499, 255, 2470, 253, 657, 697, 253, 11134, 877, 253, 12217, 314, 42, 3101, 253, 4916, 285, 253, 1250, 543, 10985, 911, 340, 8567, 6989, 1213, 326, 2443, 255, 4477, 640, 1223, 253, 12217, 276, 902, 15837, 909, 42, 476, 285, 2222, 255, 1129, 582, 777, 285, 326, 8930, 289, 2846, 596, 3482, 255, 16870, 917, 313, 929, 1119, 532, 409, 870, 360, 642, 909, 683, 270, 22512, 64, 2296, 255, 993, 17, 474, 1984, 36, 425, 74, 18, 474, 3030, 414, 24879, 13654, 474, 13007, 462, 3021, 255, 30637, 2062, 4324, 2979, 271, 725, 253, 11134, 1, 34, 655, 4606, 29340, 5068, 364, 8121, 538, 20918, 6904, 1498, 409, 326, 248, 16191, 6335, 3606, 10462, 6774, 272, 277, 5114, 4444, 270, 673, 2838, 341, 253, 2731, 272, 253, 4444, 1262, 16191, 519, 2134, 255, 332, 652, 253, 3484, 289, 1323, 6860, 877, 253, 3358, 314, 18539, 276, 1460, 285, 849, 6663, 3256, 255, 11269, 480, 10580, 532, 3738, 6209, 366, 16365, 285, 655, 4606, 29340, 5068, 364, 8121, 538, 20918, 6904, 1498, 270, 1696, 453, 1657, 345, 255, 1662, 409, 326, 253, 64, 18, 303, 4916, 578, 6739, 285, 3167, 3792, 15810, 255, 10619, 2993, 15810, 255, 332, 21365, 15810, 366, 18440, 289, 9190, 453, 18270, 11572, 270, 21620, 11572, 558, 326, 253, 17518, 4444, 6945, 27243, 345, 253, 2569, 1657, 270, 2467, 554, 811, 396, 15822, 270, 8244, 277, 655, 4606, 29340, 5068, 364, 8121, 538, 20918, 6904, 1498, 375, 4444, 8060, 10208, 1469, 1297, 9281, 248, 3156, 3521, 270, 2848, 4444, 9190, 255, 1492, 10306, 255, 1766, 765, 255, 10388, 3232, 270, 21620, 11572, 4444, 8060, 3043, 2104, 29410, 360, 3191, 730, 360, 17889, 314, 3451, 7789, 285, 248, 3400, 6945, 375, 1265, 6945, 255, 66, 4444, 6945, 2838, 4742, 253, 2987, 3792, 6860, 270, 34, 8060, 7066, 285, 17659, 253, 2333, 2115, 272, 755, 14893, 289, 253, 2731, 640, 10577, 313, 1747, 2247, 375, 1265, 255, 12867, 2115, 255, 263, 655, 4606, 29340, 5068, 364, 8121, 538, 20918, 6904, 1498, 314, 56, 4606, 272, 64, 20, 1690, 1590, 16908, 313, 7959, 596, 8008, 3510, 285, 341, 272, 253, 596, 16153, 2167, 2411, 1624, 1440, 255, 2691, 255, 1129, 409, 1140, 642, 396, 642, 276, 1576, 360, 8985, 849, 2518, 272, 849, 64, 20, 1119, 1440, 655, 4606, 29340, 5068, 364, 8121, 538, 20918, 6904, 1498, 270, 3720, 248, 3923, 272, 64, 20, 1119, 16908, 255, 18099, 27603, 672, 1039, 375, 3084, 253, 4605, 696, 29541, 253, 4444, 721, 253, 12295, 314, 1283, 253, 2643, 3147, 272, 480, 3256, 4259, 255, 30637, 1129, 335, 17559, 849, 3256, 255, 1662, 2357, 345, 356, 56, 4606, 29340, 5068, 364, 8121, 538, 20918, 6904, 1498, 406, 13046, 433, 277, 317, 271, 89, 69, 5813, 9987, 255, 25, 64, 993, 24, 270, 15646, 360, 276, 253, 1387, 2136, 2357, 314, 465, 4210, 2939, 2377, 578, 355, 13696, 364, 8121, 64, 728, 25323, 1230, 1498, 4444, 6945, 186, 53, 5420, 414, 4, 13696, 364, 8121, 6731, 1230, 1498, 482, 64, 30770, 17, 21365, 6945, 4450, 13696, 364, 8121, 6731, 1230, 1498, 482, 14, 15653, 22, 66, 21365, 6945, 4450, 13696, 364, 8121, 6731, 1230, 1498, 482, 14, 23093, 25, 21365, 6945, 4450, 13696, 364, 8121, 6731, 1230, 1498, 482, 14, 22, 2510, 19, 66, 21365, 6945, 4450, 88, 4606, 6945, 5057, 364, 8121, 6731, 1230, 1498, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3584, 1345, 16987, 646, 1306, 3028, 461, 914, 248, 1933, 335, 11355, 71, 541, 1513, 289, 248, 14391, 1925, 335, 4847, 3589, 253, 2052, 255, 772, 652, 277, 1123, 272, 248, 14950, 2439, 272, 1472, 5885, 9205, 279, 20160, 435, 414, 10909, 19360, 248, 6270, 1741, 1933, 3017, 248, 2406, 1666, 345, 253, 3468, 272, 17380, 271, 15505, 270, 1132, 359, 248, 1737, 966, 272, 3401, 272, 480, 276, 253, 1472, 51, 450, 1005, 1306, 68, 417, 1306, 999, 253, 2240, 3159, 1784, 255, 344, 1689, 624, 4379, 13063, 433, 253, 18878, 272, 253, 942, 7013, 255, 332, 253, 29422, 4659, 276, 10839, 3369, 314, 42, 2222, 1472, 19890, 6495, 3106, 849, 3178, 335, 480, 13063, 1952, 359, 18783, 1995, 10284, 255, 7796, 341, 904, 536, 812, 272, 396, 313, 20170, 270, 3258, 456, 15407, 722, 272, 1472, 344, 30673, 3664, 11663, 1306, 1458, 363, 341, 433, 608, 13854, 255, 4760, 3241, 433, 289, 335, 1288, 891, 1822, 461, 4036, 396, 270, 2318, 942, 31136, 5392, 255, 332, 276, 2313, 334, 2078, 255, 13608, 921, 973, 612, 2258, 1347, 3573, 253, 3461, 270, 7765, 20264, 433, 1288, 3437, 276, 253, 8762, 746, 255, 7299, 876, 14047, 5799, 375, 8689, 20351, 255, 4993, 326, 596, 7577, 270, 340, 10893, 2589, 672, 326, 652, 326, 8097, 285, 253, 2300, 270, 340, 13371, 378, 710, 487, 272, 24796, 7503, 289, 253, 966, 272, 4220, 21970, 2897, 335, 8355, 16819, 253, 3821, 693, 289, 253, 15953, 2274, 272, 25957, 270, 12988, 71, 541, 1513, 255, 332, 800, 2625, 25221, 253, 21749, 272, 7823, 71, 541, 1513, 255, 11835, 271, 783, 272, 10839, 554, 965, 253, 252, 383, 270, 1507, 1804, 255, 581, 2524, 326, 2452, 904, 543, 28714, 4337, 314, 919, 1331, 543, 480, 1952, 785, 911, 34, 2782, 2939, 2838, 341, 10397, 1472, 2368, 353, 4157, 247, 3584, 64, 9541, 1472, 1345, 16987, 646, 1306, 2251, 326, 1246, 276, 253, 2500, 28543, 433, 2518, 253, 12214, 24336, 17907, 11482, 375, 2926, 538, 27155, 1227, 23583, 8015, 10715, 17493, 49, 6878, 3584, 64, 262, 785, 3135, 276, 800, 1689, 624, 2699, 276, 748, 18074, 356, 344, 612, 871, 2965, 359, 285, 3427, 285, 3735, 7845, 289, 248, 30940, 645, 823, 772, 313, 785, 276, 32685, 4185, 8015, 270, 14598, 596, 1251, 313, 2635, 276, 480, 1666, 314, 340, 31136, 9059, 248, 6646, 341, 1952, 1109, 326, 6918, 255, 2470, 799, 13063, 433, 253, 6918, 5187, 270, 2080, 272, 253, 13064, 255, 34, 400, 1153, 252, 375, 4233, 741, 335, 10109, 9542, 2717, 626, 356, 18968, 24, 406, 1639, 257, 31030, 11355, 71, 541, 1513, 22315, 15883, 28903, 260, 255, 7874, 363, 800, 8011, 3443, 253, 4087, 272, 743, 6213, 2689, 255, 549, 341, 253, 797, 569, 446, 290, 582, 286, 906, 9529, 289, 4258, 16959, 7480, 672, 2141, 285, 632, 363, 396, 724, 276, 248, 5095, 255, 1554, 14355, 253, 12772, 1133, 289, 30521, 22860, 672, 276, 556, 11173, 255, 1808, 596, 31642, 417, 285, 31090, 755, 5049, 788, 11630, 60, 24171, 802, 2148, 32382, 556, 1952, 255, 4983, 16157, 289, 15098, 359, 7180, 270, 600, 12228, 272, 5510, 366, 1952, 543, 277, 1156, 8916, 276, 253, 2240, 3159, 1784, 270, 7860, 26604, 422, 17237, 871, 12598, 272, 1055, 19833, 2329, 1100, 741, 6916, 26767, 285, 253, 7440, 71, 2573, 289, 499, 3573, 272, 1909, 255, 332, 1750, 285, 10358, 4215, 713, 270, 3741, 3710, 1909, 724, 248, 6646, 272, 26604, 422, 554, 276, 253, 17083, 19589, 272, 253, 64, 18587, 17, 84, 255, 66, 3029, 341, 1199, 1331, 7700, 8355, 626, 289, 4263, 4307, 255, 303, 751, 341, 3268, 543, 797, 23825, 285, 326, 248, 1825, 7249, 303, 2689, 802, 772, 914, 1262, 797, 11643, 271, 945, 7948, 270, 88, 1564, 725, 253, 6529, 640, 1039, 5115, 272, 276, 12967, 432, 255, 868, 2051, 428, 289, 20620, 3983, 872, 2192, 272, 566, 4552, 60, 24171, 5032, 2124, 27300, 515, 406, 465, 253, 2240, 29503, 3227, 255, 27948, 19694, 7343, 2999, 883, 8300, 2215, 1472, 1866, 6024, 289, 2489, 16987, 646, 25957, 3584, 255, 4741, 248, 2132, 4605, 877, 743, 6213, 2689, 289, 253, 30077, 255, 292, 248, 21708, 272, 1213, 1952, 289, 438, 3212, 992, 390, 1683, 4181, 652, 566, 1318, 272, 248, 566, 682, 5518, 600, 1952, 543, 363, 565, 21002, 289, 3589, 1701, 14675, 363, 253, 28568, 86, 3026, 289, 556, 18878, 270, 340, 2439, 272, 300, 6292, 268, 650, 1741, 1253, 1750, 409, 326, 2867, 363, 248, 1829, 409, 1003, 2439, 255, 1554, 433, 17282, 902, 4847, 289, 8060, 257, 526, 4476, 5140, 84, 2623, 3861, 743, 6213, 2689, 270, 9850, 9205, 279, 20160, 3369, 300, 18104, 6918, 2406, 781, 366, 27337, 4929, 255, 18433, 650, 341, 543, 23408, 255, 69, 9443, 289, 366, 604, 307, 555, 8574, 1795, 270, 974, 1123, 255, 56, 5483, 255, 28858, 272, 253, 2121, 255, 332, 20484, 24364, 255, 84, 260, 291, 6402, 255, 3028, 1724, 363, 1472, 22566, 7988, 67, 592, 16932, 2164, 253, 612, 2097, 272, 253, 2905, 2217, 255, 14288, 10839, 1019, 15542, 599, 4032, 707, 255, 14288, 88, 983, 289, 542, 1126, 73, 264, 249, 1019, 3028, 1724, 363, 253, 1472, 20518, 76, 813, 2890, 413, 16932, 1173, 9583, 285, 480, 313, 2801, 5027, 286, 255, 29493, 18104, 253, 1472, 10594, 2245, 397, 1306, 4922, 253, 797, 7873, 9418, 27651, 6808, 277, 2245, 397, 285, 253, 19721, 308, 626, 5931, 6442, 285, 608, 13854, 270, 39, 2176, 70, 9184, 30851, 276, 12941, 255, 772, 7435, 248, 2699, 272, 9770, 311, 334, 607, 4272, 396, 314, 974, 11355, 71, 541, 1513, 255, 344, 2489, 84, 630, 3286, 543, 248, 5339, 5140, 276, 1464, 2192, 270, 673, 543, 519, 9158, 255, 5886, 433, 253, 5867, 289, 253, 610, 8235, 13118, 84, 1232, 2770, 877, 253, 5867, 289, 27358, 649, 6276, 3015, 1305, 253, 2905, 9897, 18868, 4233, 649, 332, 285, 783, 5592, 18589, 2033, 285, 253, 17171, 8582, 1299, 397, 10870, 6115, 1591, 396, 289, 253, 11096, 272, 783, 272, 800, 18962, 17493, 1345, 16987, 646, 253, 28627, 3584, 64, 3028, 652, 785, 285, 3427, 285, 5033, 88, 983, 462, 570, 314, 3440, 2731, 272, 10839, 724, 15711, 300, 18104, 270, 340, 1666, 1591, 938, 19300, 1054, 1048, 1547, 579, 3391, 289, 1072, 332, 395, 18351, 543, 1724, 363, 253, 4596, 816, 4270, 453, 255, 7100, 2905, 2277, 21747, 255, 887, 797, 5869, 1526, 4052, 887, 289, 21760, 298, 9785, 1306, 6409, 1079, 2930, 40, 13854, 620, 480, 363, 253, 5200, 272, 1472, 36, 816, 67, 665, 3584, 578, 4061, 569, 11106, 665, 255, 68, 485, 1116, 255, 263, 433, 70, 14, 1703, 649, 10645, 453, 253, 12421, 4595, 917, 1285, 259, 816, 6118, 642, 272, 253, 1354, 1119, 375, 9815, 649, 332, 14650, 255, 2236, 253, 14835, 272, 3458, 285, 253, 4596, 451, 29965, 19997, 314, 8717, 11215, 340, 538, 848, 425, 292, 1306, 3028, 785, 335, 253, 1666, 1591, 4952, 1755, 599, 1721, 285, 968, 1259, 2261, 14600, 255, 332, 7435, 652, 285, 396, 1285, 248, 1741, 272, 15990, 335, 8355, 626, 255, 2401, 363, 253, 4394, 19997, 724, 248, 12845, 335, 713, 270, 40, 13854, 6909, 396, 543, 785, 791, 3672, 3213, 247, 2078, 272, 632, 28568, 86, 3026, 255, 772, 5381, 11370, 565, 489, 3853, 270, 14624, 876, 722, 251, 6842, 285, 713, 7429, 255, 247, 538, 2617, 319, 521, 88, 23854, 363, 1472, 1529, 253, 635, 282, 17431, 268, 5347, 313, 1179, 6495, 332, 1547, 10675, 307, 313, 277, 3466, 578, 1507, 255, 3470, 1112, 400, 22079, 255, 1449, 359, 942, 27479, 2276, 1132, 554, 277, 2218, 19402, 85, 272, 24587, 255, 42, 328, 66, 1306, 3309, 2285, 186, 974, 650, 313, 2006, 2634, 255, 864, 253, 538, 848, 425, 292, 1270, 1696, 423, 558, 21776, 276, 341, 255, 263, 423, 269, 74, 1306, 1297, 582, 314, 3449, 27960, 12963, 1168, 248, 1046, 13758, 335, 8355, 626, 1747, 566, 624, 1386, 255, 10645, 8060, 248, 257, 526, 4476, 5140, 366, 253, 29456, 717, 272, 253, 3176, 67, 592, 7062, 255, 251, 2110, 272, 556, 10065, 4009, 1143, 335, 436, 527, 302, 255, 2401, 363, 8355, 626, 724, 5580, 2658, 640, 1109, 2846, 556, 29857, 255, 263, 16807, 285, 253, 637, 614, 2948, 521, 1874, 289, 2147, 4256, 13080, 270, 340, 276, 20939, 724, 17175, 18104, 566, 10211, 1016, 270, 1132, 672, 652, 476, 838, 248, 566, 624, 5408, 566, 15008, 79, 11427, 255, 1529, 253, 1587, 271, 289, 284, 6153, 27698, 1885, 2328, 8710, 70, 22983, 1681, 2119, 276, 1402, 1253, 1055, 11049, 649, 772, 632, 253, 9654, 532, 476, 1246, 285, 396, 476, 838, 276, 4605, 366, 480, 4306, 255, 549, 396, 672, 326, 277, 272, 85, 4518, 2884, 483, 2623, 512, 11747, 314, 600, 1697, 272, 300, 6292, 268, 313, 652, 1246, 3589, 10839, 255, 2160, 253, 914, 3401, 532, 476, 1246, 4115, 285, 253, 17999, 3227, 270, 465, 655, 319, 346, 7185, 28187, 917, 543, 277, 1666, 11414, 1192, 433, 19399, 27096, 289, 6796, 433, 351, 20078, 1724, 363, 1547, 4596, 451, 4270, 270, 465, 16261, 380, 13143, 27592, 5293, 307, 356, 484, 15942, 1357, 285, 16261, 380, 13143, 406, 1534, 543, 248, 461, 263, 16005, 2052, 1526, 13353, 1747, 1472, 12609, 3584, 255, 18099, 6630, 705, 448, 253, 720, 272, 253, 965, 1571, 1496, 2513, 314, 600, 2439, 4623, 345, 2847, 414, 1173, 3788, 462, 30514, 5644, 341, 248, 9681, 3456, 715, 5000, 1666, 272, 4884, 247, 22906, 313, 1724, 363, 1472, 35, 395, 12445, 15, 12345, 46, 30514, 255, 28848, 7168, 255, 81, 15, 8606, 20938, 1, 8601, 4812, 285, 5266, 253, 4276, 877, 871, 1515, 11199, 276, 25278, 20574, 64, 728, 15, 17, 270, 42, 476, 248, 1120, 4656, 788, 664, 255, 549, 10886, 1018, 253, 1422, 90, 10071, 272, 64, 20, 19787, 2436, 285, 5266, 253, 4276, 270, 8601, 4812, 285, 693, 10406, 276, 253, 14985, 19467, 255, 3106, 10886, 461, 1415, 366, 10406, 289, 10886, 461, 2452, 811, 285, 693, 253, 10406, 5778, 270, 42, 7892, 4755, 1249, 2902, 285, 867, 255, 772, 13995, 277, 3894, 799, 871, 19787, 2436, 476, 253, 3354, 1112, 10071, 270, 600, 6666, 248, 13497, 1461, 255, 332, 532, 1012, 253, 3894, 953, 340, 2035, 313, 461, 13497, 544, 5488, 42, 8105, 285, 2371, 276, 277, 861, 4335, 285, 1440, 13497, 84, 285, 64, 17, 84, 255, 772, 532, 1804, 1012, 253, 1112, 3894, 270, 8601, 461, 2452, 861, 10886, 8316, 13497, 2173, 7482, 255, 2160, 255, 3106, 18529, 1246, 25382, 2192, 285, 2076, 713, 255, 332, 476, 8105, 953, 6000, 1045, 332, 24063, 1634, 332, 953, 47, 1473, 1045, 864, 929, 1254, 690, 270, 673, 4224, 844, 917, 939, 326, 783, 1119, 285, 1215, 5149, 253, 4276, 1461, 366, 64, 17, 861, 253, 8356, 7767, 248, 13497, 1461, 314, 7107, 6393, 476, 818, 3303, 345, 811, 285, 1012, 2560, 253, 13497, 2173, 879, 4126, 2902, 313, 2151, 314, 24149, 580, 17, 1060, 2199, 3307, 13212, 20, 255, 58, 20, 3321, 5241, 3750, 2985, 2445, 18, 255, 58, 18, 255, 57, 19, 255, 58, 19, 255, 24149, 861, 25639, 3046, 17, 414, 4, 5886, 871, 9411, 14045, 5966, 4276, 580, 17, 2445, 18, 580, 57, 20, 1628, 18, 580, 58, 20, 1762, 347, 25639, 3046, 18, 414, 3307, 580, 17, 2445, 19, 580, 57, 20, 1628, 19, 580, 58, 20, 4093, 414, 4, 4124, 13440, 4276, 538, 26566, 580, 57, 18, 956, 57, 19, 31300, 90, 580, 58, 18, 956, 58, 19, 11210, 89, 580, 57, 20, 956, 57, 19, 11210, 90, 580, 58, 20, 956, 58, 19, 13635, 1184, 69, 580, 11095, 89, 3773, 7336, 89, 1241, 11095, 90, 3773, 7336, 90, 10360, 34, 580, 3009, 15, 5064, 8698, 57, 18, 26790, 19, 10, 2433, 19, 21045, 58, 18, 27220, 19, 10, 2433, 19, 406, 3819, 35, 580, 3009, 15, 5064, 8698, 57, 19, 26790, 20, 10, 2433, 19, 21045, 58, 19, 27220, 20, 10, 2433, 19, 406, 3307, 580, 3009, 15, 407, 395, 8698, 21264, 1184, 69, 16730, 3819, 34, 11, 3819, 35, 4155, 11, 5920, 16, 3009, 4858, 74, 2445, 18, 580, 57, 19, 4450, 28562, 5201, 285, 2381, 10071, 1628, 18, 580, 58, 19, 2445, 19, 580, 57, 20, 1628, 19, 580, 58, 20, 25639, 580, 24149, 1241, 18, 861, 4276, 313, 461, 12470, 414, 4, 2467, 313, 1224, 10886, 4812, 285, 14170, 64, 17, 335, 13497, 2173, 2768, 4276, 4093, 414, 2194, 64, 17, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14769, 1287, 10814, 29322, 546, 7093, 11449, 869, 8023, 14362, 4031, 18847, 466, 8100, 557, 2824, 31861, 7056, 2229, 3727, 692, 11190, 28022, 28274, 1471, 5930, 2824, 786, 1669, 4031, 7836, 11617, 12173, 22543, 2777, 439, 511, 415, 1890, 2670, 7877, 940, 447, 1890, 3755, 2872, 318, 1890, 31377, 628, 1702, 14, 638, 14134, 30593, 14621, 593, 11614, 429, 439, 5318, 18847, 421, 10814, 29322, 421, 3947, 21513, 546, 1695, 940, 7093, 1561, 869, 8023, 14362, 546, 4244, 2464, 2942, 10918, 429, 1669, 8171, 30025, 32725, 421, 1037, 6352, 318, 836, 439, 3292, 27269, 16423, 280, 766, 255, 638, 21295, 362, 1674, 2190, 439, 437, 5136, 1702, 478, 17534, 4823, 9776, 421, 739, 1235, 609, 507, 3530, 3474, 421, 2504, 3682, 318, 5786, 415, 421, 9237, 669, 5102, 590, 3755, 692, 30025, 1976, 1561, 869, 9776, 464, 1008, 9992, 1890, 12734, 1890, 1279, 6020, 280, 2494, 439, 10518, 669, 4135, 4031, 10217, 404, 2304, 639, 6352, 318, 836, 8225, 30025, 32725, 546, 447, 1919, 411, 255, 3292, 9776, 421, 10814, 29322, 421, 31718, 520, 10491, 26277, 6637, 593, 2977, 7968, 786, 869, 9792, 318, 1287, 6480, 439, 884, 1008, 1287, 2100, 1614, 3558, 8395, 26277, 466, 447, 2777, 6380, 439, 557, 358, 14362, 692, 31861, 7056, 2229, 493, 546, 343, 5998, 941, 856, 5038, 692, 7803, 464, 3372, 1287, 23672, 3487, 1669, 2866, 31718, 546, 7093, 2614, 421, 1793, 940, 735, 3834, 539, 764, 331, 8023, 14362, 421, 3208, 874, 702, 2866, 2075, 4995, 2822, 593, 12135, 593, 1976, 869, 3558, 3626, 923, 31861, 421, 4447, 31861, 7056, 2229, 493, 546, 31861, 466, 20214, 593, 16417, 492, 9978, 8800, 786, 439, 1850, 1068, 2310, 447, 766, 11347, 331, 1092, 644, 6571, 11423, 5130, 31718, 546, 7093, 1561, 869, 31861, 576, 17636, 1279, 3626, 9776, 5714, 280, 1287, 24696, 786, 439, 4317, 6924, 16399, 3341, 31861, 576, 5714, 280, 2494, 255, 3292, 2100, 14, 10708, 17509, 12634, 493, 421, 2262, 8839, 2494, 439, 31305, 29322, 421, 31718, 702, 8371, 4083, 493, 576, 2100, 4234, 11066, 593, 9776, 576, 2262, 4058, 3207, 576, 6066, 6651, 331, 940, 1307, 869, 18742, 31861, 576, 2100, 19559, 1002, 669, 5714, 280, 32068, 2504, 12351, 1890, 557, 358, 14362, 12521, 15493, 20214, 1471, 588, 1851, 786, 439, 8150, 520, 2089, 522, 9396, 1543, 17084, 255, 3553, 2100, 11487, 3948, 31861, 7056, 2229, 3727, 466, 8178, 1051, 2314, 588, 5270, 1669, 9766, 1890, 27915, 318, 255, 25311, 4897, 3948, 5186, 280, 4234, 12521, 15493, 7797, 1604, 1851, 786, 439, 27915, 318, 1890, 540, 23046, 466, 25941, 540, 1279, 362, 1674, 362, 463, 1022, 296, 12521, 15493, 7797, 1604, 1851, 786, 1890, 3553, 3184, 940, 9776, 5930, 546, 7400, 447, 3487, 439, 14187, 836, 940, 10992, 255, 26812, 31861, 576, 1669, 3558, 3198, 5714, 4142, 7085, 280, 2494, 6924, 16399, 3341, 439, 4136, 31305, 29322, 520, 17812, 3626, 923, 4964, 3736, 1604, 2184, 439, 13152, 3947, 5264, 421, 994, 6064, 21513, 702, 1051, 16591, 1287, 10433, 266, 869, 10992, 447, 1890, 10708, 1287, 5264, 421, 13877, 546, 4031, 6372, 8828, 975, 11452, 14, 3188, 1371, 29072, 1482, 856, 31861, 421, 6738, 466, 2942, 12420, 421, 1037, 8023, 14362, 421, 5809, 27518, 593, 1976, 2503, 1890, 3292, 10814, 15793, 786, 255, 4590, 836, 1193, 439, 13956, 684, 421, 7871, 5638, 3990, 3943, 8106, 8225, 23917, 14055, 28093, 766, 3098, 447, 255, 3553, 2864, 421, 7871, 5638, 3990, 3943, 8106, 8225, 24454, 8573, 23917, 14055, 429, 439, 20712, 940, 3558, 3384, 421, 2314, 371, 9076, 3947, 782, 520, 1287, 1669, 18398, 786, 439, 557, 358, 14362, 421, 1037, 1051, 2660, 2311, 9035, 266, 14, 11569, 9035, 266, 31861, 421, 6738, 466, 23117, 766, 26769, 1669, 14314, 576, 18454, 12126, 4136, 2866, 10814, 31718, 702, 1614, 365, 466, 2840, 593, 17306, 1695, 9894, 11957, 9199, 280, 14, 21166, 1665, 421, 31679, 20333, 421, 15793, 576, 3316, 975, 3848, 804, 26277, 1931, 2866, 2075, 5871, 742, 1307, 3287, 429, 869, 6184, 8023, 14362, 8113, 3727, 421, 31861, 7056, 2229, 15633, 692, 28274, 1471, 2824, 786, 439, 15623, 3532, 296, 25523, 429, 869, 2359, 2866, 6184, 8885, 16025, 7286, 739, 415, 1578, 11849, 31861, 7056, 2229, 3727, 421, 6738, 421, 4447, 1226, 10824, 5529, 266, 766, 20830, 439, 4136, 766, 8696, 1669, 6331, 14, 8655, 520, 975, 6517, 411, 8113, 18464, 466, 975, 21190, 692, 975, 20899, 10852, 546, 7400, 786, 255, 13021, 940, 9894, 1976, 2503, 869, 3558, 2311, 6184, 2100, 14, 10708, 25591, 255, 283, 1680, 708, 12634, 493, 421, 1550, 255, 10708, 8100, 9203, 1486, 421, 1550, 9776, 3577, 4915, 1669, 5345, 10922, 22833, 576, 2089, 2821, 975, 10471, 1166, 28534, 5216, 520, 2089, 2821, 669, 22833, 16025, 7286, 18464, 9983, 1002, 1287, 4882, 5256, 2454, 7671, 439, 4317, 8113, 5264, 692, 15793, 2100, 1550, 2100, 6372, 421, 6046, 15629, 557, 6540, 280, 684, 496, 1429, 1531, 5391, 3993, 557, 2660, 692, 6509, 4078, 7502, 1976, 4933, 439, 4317, 1108, 9894, 466, 23832, 7942, 12933, 255, 4132, 18272, 266, 1669, 25756, 266, 255, 365, 2878, 266, 16369, 19644, 12933, 255, 12653, 5414, 295, 3842, 1727, 5751, 5393, 10430, 735, 9341, 4099, 4933, 439, 21166, 1665, 5217, 9894, 5872, 17040, 343, 5268, 1890, 3553, 766, 2942, 1193, 3625, 1561, 439, 10708, 14, 10708, 5264, 520, 1226, 15556, 358, 692, 9596, 1561, 255, 10552, 2866, 2100, 8726, 6372, 546, 975, 11452, 14, 3188, 1371, 29072, 1482, 856, 7312, 7286, 31861, 4687, 11849, 7630, 669, 2100, 14, 10708, 20634, 466, 3280, 385, 19118, 1543, 31861, 421, 6738, 466, 23117, 766, 2777, 439, 1674, 3118, 20849, 466, 2504, 13544, 628, 6418, 1471, 421, 1793, 8023, 14362, 421, 19806, 421, 1037, 5854, 31718, 576, 19560, 255, 4638, 24696, 1907, 786, 31861, 421, 6738, 466, 348, 10321, 358, 576, 23117, 31861, 421, 6738, 421, 4447, 19627, 4734, 5998, 639, 1198, 30025, 32725, 546, 3736, 7111, 911, 3644, 1890, 9032, 576, 2310, 14415, 3184, 2715, 14, 21060, 6423, 1669, 9198, 1287, 439, 3644, 1890, 3292, 2866, 21674, 540, 1715, 576, 14389, 19895, 593, 1851, 786, 2224, 869, 1614, 10980, 6924, 9776, 10522, 684, 6839, 3192, 506, 31744, 9711, 4031, 6738, 466, 25941, 11786, 28225, 466, 4734, 13999, 29711, 6252, 439, 6120, 1614, 2311, 4135, 20214, 1471, 3297, 411, 1669, 3558, 6738, 576, 7068, 10534, 2100, 14, 10708, 31110, 337, 421, 17413, 9090, 14638, 546, 20830, 439, 442, 9321, 1890, 17580, 557, 5714, 2777, 1108, 31861, 466, 3626, 923, 940, 911, 25520, 1669, 3467, 856, 1561, 869, 17136, 8127, 20408, 365, 1210, 4995, 2131, 2187, 1561, 439, 3644, 1890, 26027, 692, 3314, 1669, 429, 1287, 20408, 365, 1210, 16303, 2244, 1890, 4317, 618, 699, 692, 618, 5256, 447, 10308, 2720, 8127, 1287, 295, 21295, 692, 1890, 3644, 1890, 26754, 1669, 684, 940, 7448, 255, 3553, 5102, 429, 447, 869, 14179, 10814, 15276, 283, 12518, 493, 692, 28319, 13193, 766, 1445, 1561, 439, 3543, 1612, 31322, 702, 13759, 5536, 12386, 5090, 1739, 1669, 8023, 14362, 2243, 4896, 1155, 4527, 27688, 255, 14187, 856, 940, 4184, 439, 14692, 2614, 576, 1287, 1669, 3866, 8054, 6802, 19156, 466, 4848, 429, 1351, 6539, 1890, 4638, 3626, 3297, 411, 439, 3097, 2224, 1890, 3543, 1612, 31322, 421, 11674, 1287, 4823, 5817, 372, 809, 506, 13518, 16487, 1279, 20278, 890, 404, 1556, 1669, 8891, 1612, 31322, 702, 19560, 255, 3644, 4227, 5102, 911, 19593, 372, 809, 29324, 280, 421, 911, 557, 836, 440, 915, 372, 809, 29324, 280, 421, 1287, 8033, 10816, 429, 439, 331, 14134, 8770, 421, 4447, 372, 809, 506, 13518, 19016, 593, 464, 11124, 1669, 5391, 4083, 31402, 10816, 429, 11321, 1890, 3681, 24655, 1226, 9603, 4480, 29911, 940, 1193, 869, 8023, 14362, 702, 2243, 4896, 1155, 4527, 2190, 1739, 684, 447, 14134, 1273, 2751, 493, 421, 492, 5900, 20849, 576, 7068, 10534, 2777, 439, 1367, 1117, 3644, 493, 466, 8023, 14362, 546, 2100, 14, 10708, 295, 2805, 280, 669, 1051, 14, 18863, 576, 26717, 26599, 520, 766, 1068, 10805, 684, 11103, 6659, 466, 8023, 14362, 546, 8395, 1108, 295, 2805, 280, 1669, 8395, 2209, 295, 2805, 280, 6020, 4486, 10814, 31718, 692, 295, 2304, 3219, 31861, 7056, 2229, 493, 421, 4447, 3577, 1445, 439, 3567, 31861, 421, 6738, 466, 2310, 283, 14, 9032, 283, 1931, 23117, 2190, 5264, 5217, 2310, 4262, 1665, 5217, 31861, 7056, 2229, 2310, 6444, 609, 358, 1665, 419, 2229, 4321, 371, 809, 2872, 280, 1669, 8225, 4491, 6659, 8407, 439, 13152, 4823, 2100, 295, 1155, 1002, 421, 24096, 576, 2100, 4491, 546, 372, 493, 3333, 557, 421, 1793, 1739, 255, 1367, 1674, 1890, 21932, 1669, 7093, 1287, 1193, 1561, 869, 8113, 4234, 421, 24655, 1907, 31861, 692, 20593, 2190, 786, 879, 10708, 14, 10708, 5264, 421, 21513, 546, 8023, 14362, 421, 1793, 31861, 520, 14429, 692, 447, 2270, 10852, 421, 1793, 31861, 421, 6738, 466, 23117, 3947, 5264, 421, 15793, 702, 2100, 6372, 421, 1550, 590, 296, 468, 13807, 520, 3362, 348, 508, 466, 348, 508, 1919, 4527, 447, 2270, 9811, 255, 540, 23046, 520, 14429, 1890, 540, 23046, 520, 14155, 14429, 8889, 4136, 3558, 31861, 520, 14429, 421, 447, 7938, 421, 4447, 2243, 4896, 1155, 4527, 2190, 2100, 4244, 4986, 2629, 266, 736, 404, 8262, 21513, 520, 27434, 669, 576, 30025, 5038, 421, 1793, 3993, 1674, 684, 447, 14134, 1273, 2751, 493, 466, 1287, 492, 5900, 20849, 466, 492, 5900, 1471, 27563, 1669, 31861, 421, 1668, 7693, 557, 14, 3530, 7693, 557, 6738, 466, 590, 1008, 14, 442, 1008, 1931, 590, 1407, 280, 6738, 466, 6924, 16399, 3341, 25941, 11786, 3947, 5264, 421, 15793, 702, 2100, 14, 10708, 6372, 421, 1550, 15981, 520, 10844, 5688, 401, 1, 1878, 1389, 19662, 466, 3196, 702, 447, 10080, 1008, 20714, 493, 421, 1550, 5244, 593, 1851, 2942, 2719, 546, 10941, 1307, 429, 439, 18050, 19600, 421, 3926, 4227, 1907, 498, 8842, 331, 31987, 10387, 421, 1550, 1051, 14503, 576, 23553, 466, 7390, 2494, 961, 9369, 4672, 414, 7386, 13166, 2310, 5582, 1068, 318, 466, 10387, 421, 1550, 447, 10080, 1702, 25010, 2098, 520, 5244, 593, 1851, 20756, 546, 10941, 1307, 429, 439, 5026, 20756, 520, 12614, 25503, 1346, 283, 766, 365, 2367, 1742, 255, 19286, 255, 7970, 331, 2311, 11779, 255, 16812, 255, 4136, 64, 22996, 16846, 3424, 16245, 2916, 4203, 337, 595, 2059, 318, 421, 2910, 466, 520, 2184, 429, 439, 1878, 1389, 19662, 421, 975, 384, 923, 358, 466, 3196, 520, 5130, 576, 3464, 742, 64, 2661, 19817, 684, 64, 2153, 890, 1389, 21492, 13072, 8024, 25875, 9576, 669, 5244, 593, 2297, 10465, 961, 1117, 384, 923, 358, 466, 295, 6489, 3085, 6637, 3487, 429, 684, 890, 1389, 19662, 692, 1695, 12287, 7025, 12122, 520, 30656, 466, 429, 439, 7386, 702, 3614, 9237, 669, 3614, 10999, 1680, 2454, 1669, 6437, 21492, 14803, 1210, 466, 7390, 10465, 684, 1550, 466, 16121, 940, 1051, 14503, 23553, 466, 4031, 1550, 7390, 2494, 439, 10095, 1907, 23553, 421, 7068, 618, 8964, 15320, 940, 593, 1851, 2494, 439, 337, 1878, 742, 9576, 669, 9131, 702, 1965, 358, 421, 12790, 5244, 466, 546, 1443, 331, 684, 628, 2751, 19613, 520, 429, 961, 1446, 7056, 14300, 2719, 3279, 739, 3576, 14, 609, 6419, 280, 576, 13540, 2614, 520, 9997, 421, 1793, 3196, 6437, 4781, 2170, 439, 442, 1368, 25696, 5090, 2777, 2719, 466, 4898, 26014, 1680, 26305, 255, 4347, 3280, 15998, 22496, 255, 4347, 20808, 255, 4347, 6841, 2536, 280, 1210, 255, 21060, 6841, 2536, 280, 1210, 21492, 684, 7627, 890, 1389, 19662, 21492, 5067, 786, 439, 16395, 4702, 702, 25875, 9576, 669, 4196, 2663, 6268, 856, 421, 64, 2583, 15, 1151, 2583, 10972, 684, 546, 923, 331, 421, 64, 1151, 15, 26, 2583, 10972, 447, 20262, 546, 19613, 1307, 429, 961, 1117, 384, 923, 358, 956, 21288, 421, 4244, 22132, 9762, 17507, 18368, 31926, 1742, 466, 576, 1051, 429, 2311, 3626, 890, 1389, 19662, 466, 5561, 4000, 4244, 20010, 703, 5998, 429, 439, 18050, 421, 1362, 283, 421, 4737, 466, 1695, 8928, 7628, 7834, 684, 5633, 2715, 15914, 442, 17356, 12740, 421, 10050, 429, 961, 1117, 384, 21844, 466, 546, 8145, 1926, 6706, 546, 18192, 421, 1037, 295, 4050, 12465, 30919, 2777, 429, 684, 12023, 546, 8885, 64, 2941, 7286, 576, 3316, 17894, 64, 2345, 7286, 1931, 19600, 684, 295, 6489, 3085, 520, 12082, 520, 2184, 429, 439, 468, 16079, 437, 576, 5930, 14, 506, 1371, 421, 1037, 464, 3987, 1210, 684, 15157, 1715, 10871, 669, 64, 2345, 18, 13611, 1931, 8767, 6637, 2454, 2184, 429, 684, 64, 6486, 13611, 576, 20999, 507, 411, 6540, 766, 2503, 14134, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2164, 9921, 64, 683, 255, 2478, 18, 255, 71, 2892, 366, 253, 25018, 272, 253, 6872, 14, 683, 10436, 345, 277, 2865, 4052, 1142, 14798, 4103, 1095, 746, 255, 344, 2579, 10131, 272, 24829, 84, 255, 344, 2579, 10131, 272, 10130, 289, 3044, 2948, 1191, 9046, 23621, 289, 253, 10326, 554, 13412, 7331, 14879, 248, 797, 13562, 7187, 276, 1404, 554, 4103, 1095, 8142, 18, 1547, 10436, 313, 9388, 818, 2818, 276, 3520, 2183, 255, 332, 1404, 4319, 725, 1305, 480, 720, 3336, 11590, 255, 9288, 16747, 255, 23841, 255, 20143, 289, 25102, 270, 600, 620, 838, 2867, 882, 2650, 1809, 285, 4103, 5831, 1305, 253, 10436, 270, 465, 248, 1190, 433, 21580, 67, 2017, 382, 255, 9790, 1168, 248, 1737, 1959, 276, 22731, 12801, 285, 253, 15429, 3510, 285, 3181, 285, 253, 10436, 270, 974, 4214, 12284, 64, 22, 14, 1298, 255, 4163, 887, 724, 725, 64, 1912, 9933, 974, 4832, 1404, 453, 64, 1058, 14, 1626, 255, 12667, 1095, 7187, 12801, 724, 725, 433, 64, 3841, 6, 15, 19, 4198, 783, 1404, 255, 3991, 454, 335, 4103, 5831, 409, 326, 5314, 3562, 2033, 285, 253, 4298, 335, 2260, 2955, 16229, 253, 4190, 272, 933, 3441, 12687, 83, 1158, 255, 15584, 6179, 255, 17335, 1701, 5302, 255, 13182, 12248, 626, 255, 332, 612, 4103, 5831, 22962, 270, 673, 313, 15427, 861, 253, 1557, 4015, 25580, 276, 253, 706, 2744, 620, 1168, 818, 937, 345, 253, 4103, 1095, 17041, 255, 27669, 2576, 1809, 285, 1565, 596, 2261, 314, 4766, 2077, 255, 344, 905, 3617, 289, 1372, 20209, 4103, 1095, 7187, 313, 248, 16214, 3636, 270, 340, 21549, 335, 10051, 7168, 289, 15258, 356, 26088, 406, 11475, 5234, 705, 633, 268, 878, 345, 418, 17261, 276, 253, 2886, 2900, 270, 340, 2087, 272, 16214, 620, 2650, 64, 3086, 1186, 2236, 64, 1605, 26, 285, 64, 993, 26, 255, 1229, 248, 1324, 4837, 276, 64, 993, 26, 270, 3091, 730, 64, 4872, 13, 4066, 945, 9274, 433, 16214, 276, 64, 993, 26, 255, 822, 543, 650, 3139, 1255, 64, 1298, 3417, 270, 6891, 10010, 313, 253, 64, 728, 380, 5045, 1783, 272, 3139, 335, 632, 7997, 15, 20, 186, 8907, 255, 9790, 359, 461, 4529, 453, 418, 24371, 6793, 289, 7189, 255, 292, 16214, 313, 253, 1508, 5045, 1783, 272, 3139, 335, 945, 12284, 64, 728, 14, 3716, 15, 20, 23317, 253, 21669, 554, 23865, 13210, 16286, 6196, 301, 13424, 3524, 878, 255, 581, 812, 341, 64, 1212, 15, 25, 1186, 999, 18429, 28112, 2621, 16214, 276, 253, 17741, 64, 1058, 3385, 255, 1229, 64, 1204, 15, 24, 1186, 10056, 248, 16214, 1437, 649, 25, 15, 26, 1186, 999, 18429, 28112, 1168, 248, 3181, 16214, 3636, 255, 1229, 64, 19, 15, 22, 1186, 22044, 268, 341, 640, 2635, 2755, 1565, 2033, 285, 277, 3636, 15, 21, 186, 2124, 2424, 272, 1404, 289, 15492, 359, 448, 1350, 2031, 1608, 270, 974, 1123, 255, 344, 16214, 3139, 2087, 2370, 5902, 2579, 7800, 12284, 64, 22, 285, 64, 1499, 1233, 313, 2958, 596, 730, 818, 612, 11951, 375, 12334, 1214, 15, 22, 23865, 891, 2595, 363, 5351, 26346, 375, 24918, 50, 1041, 505, 1464, 1915, 596, 2237, 285, 2415, 16214, 799, 3510, 285, 556, 12577, 891, 2595, 363, 8765, 22735, 15, 23, 186, 4206, 1404, 366, 6117, 13289, 265, 11249, 255, 1458, 363, 12622, 255, 505, 448, 1608, 335, 418, 24371, 6793, 289, 7189, 270, 465, 650, 1190, 255, 1211, 285, 64, 1298, 1186, 999, 1404, 366, 12622, 7254, 5510, 724, 6485, 285, 476, 418, 24371, 6793, 15, 24, 31725, 2816, 4214, 877, 253, 7997, 272, 64, 22, 14, 1499, 1233, 366, 3482, 19820, 5069, 11910, 5510, 356, 4129, 9016, 823, 549, 1354, 276, 253, 14798, 2530, 255, 505, 448, 2031, 1608, 335, 16214, 3139, 799, 3510, 285, 18429, 15, 25, 8052, 313, 2033, 285, 2650, 615, 19401, 2600, 276, 1404, 366, 17573, 270, 17912, 255, 1662, 1608, 409, 326, 8265, 433, 1500, 1778, 272, 17573, 15, 26, 186, 1099, 359, 783, 272, 253, 1608, 2189, 289, 9916, 2189, 335, 1404, 289, 15492, 335, 16214, 911, 3295, 253, 1430, 933, 554, 5342, 255, 10056, 248, 2456, 5182, 891, 9274, 453, 16214, 3962, 253, 1608, 335, 16214, 270, 9852, 248, 4103, 1095, 5653, 356, 1458, 363, 6735, 375, 6091, 406, 263, 248, 5358, 1095, 2559, 409, 1959, 1608, 363, 1020, 270, 19077, 366, 6655, 7881, 1800, 375, 366, 5358, 1906, 359, 448, 1829, 1608, 270, 1316, 2261, 1372, 5259, 1672, 255, 1458, 363, 248, 2246, 12115, 725, 375, 2779, 285, 248, 892, 1603, 255, 29427, 409, 652, 476, 277, 2650, 1608, 270, 340, 1112, 313, 2987, 335, 248, 2721, 2183, 272, 9827, 255, 1458, 363, 4087, 285, 7885, 270, 7734, 891, 359, 17349, 921, 409, 476, 2650, 1608, 363, 1020, 270, 8907, 255, 15867, 2482, 1412, 4955, 285, 1404, 891, 359, 2867, 363, 797, 11619, 802, 2236, 556, 12577, 255, 7299, 396, 313, 2033, 285, 248, 6117, 14, 13289, 265, 5510, 255, 1458, 363, 12622, 255, 263, 861, 640, 359, 24918, 50, 12, 270, 28683, 285, 16214, 882, 3604, 28442, 409, 652, 1959, 1608, 270, 7098, 480, 1528, 276, 248, 9247, 272, 418, 17261, 276, 248, 2672, 270, 600, 313, 5877, 285, 797, 3730, 10010, 23786, 274, 2930, 673, 313, 6318, 335, 3604, 255, 26457, 289, 5440, 285, 2241, 16214, 276, 248, 5339, 5148, 285, 2798, 29236, 797, 20745, 12586, 802, 3730, 17261, 270, 10608, 253, 905, 1156, 1608, 3038, 335, 16214, 313, 248, 3181, 3636, 270, 7765, 891, 476, 15458, 16214, 5105, 359, 448, 253, 5481, 1608, 272, 4812, 1562, 270, 673, 313, 1156, 285, 1290, 341, 277, 3636, 341, 672, 3574, 1358, 26414, 285, 277, 5372, 672, 326, 248, 968, 341, 612, 9223, 558, 1025, 289, 672, 476, 30149, 6049, 15, 728, 186, 1099, 359, 783, 2189, 341, 409, 870, 2877, 1404, 289, 15492, 453, 16214, 911, 11562, 913, 1404, 289, 15492, 891, 359, 448, 1608, 335, 16214, 255, 8280, 285, 632, 253, 2189, 5105, 5340, 255, 3980, 1809, 285, 4103, 5831, 313, 27936, 270, 20646, 4214, 3399, 433, 13768, 1809, 285, 3735, 14512, 255, 20585, 84, 289, 612, 2018, 341, 640, 409, 693, 285, 3544, 3068, 313, 652, 6318, 270, 11562, 913, 341, 4214, 1979, 4245, 285, 2456, 255, 25547, 289, 556, 2672, 409, 652, 852, 253, 2699, 272, 3443, 289, 2095, 341, 313, 9916, 270, 5426, 255, 7663, 598, 268, 285, 248, 2672, 375, 2507, 248, 5226, 746, 341, 29242, 261, 16214, 409, 652, 1836, 418, 24371, 6793, 289, 7189, 15, 728, 186, 1099, 409, 536, 582, 285, 2071, 16214, 276, 1404, 911, 6660, 620, 2282, 341, 905, 1404, 891, 5773, 433, 16214, 476, 2893, 366, 248, 5831, 8037, 276, 253, 3385, 17741, 556, 3139, 15, 1298, 6946, 10010, 1608, 9909, 409, 870, 2595, 1404, 289, 15492, 891, 359, 3728, 697, 16214, 255, 1758, 1288, 891, 476, 277, 3546, 16214, 1437, 270, 673, 313, 248, 4931, 1810, 285, 2071, 29175, 270, 340, 2579, 10131, 272, 24829, 84, 13, 1058, 1547, 25895, 10883, 13, 1551, 289, 253, 2579, 10131, 272, 10130, 289, 3044, 2948, 1191, 9046, 23621, 1499, 632, 6165, 253, 693, 272, 16214, 1608, 4772, 789, 335, 7800, 314, 52, 26047, 409, 652, 1140, 1288, 891, 476, 1168, 3181, 9223, 255, 2919, 861, 3685, 672, 461, 326, 3677, 272, 1288, 9223, 270, 2148, 8316, 1288, 448, 1608, 255, 344, 5845, 313, 341, 1288, 1404, 289, 18429, 409, 326, 9216, 285, 253, 1565, 640, 777, 270, 3030, 594, 913, 315, 255, 10793, 620, 2282, 341, 8931, 4214, 697, 16214, 1147, 461, 1357, 285, 1404, 2507, 418, 24371, 6793, 15, 1204, 748, 4934, 4214, 891, 359, 5208, 276, 9909, 359, 769, 3723, 341, 3404, 313, 11889, 642, 289, 1263, 383, 697, 713, 270, 600, 313, 253, 965, 1757, 285, 12228, 7800, 366, 253, 4103, 5831, 640, 777, 314, 12029, 313, 248, 1741, 1224, 849, 1404, 7321, 705, 1331, 720, 289, 313, 844, 248, 1508, 2137, 270, 15018, 255, 13182, 19753, 289, 1603, 12248, 626, 409, 652, 476, 248, 1737, 2202, 276, 16214, 7876, 270, 2124, 1996, 476, 2282, 341, 2786, 448, 1608, 409, 326, 1246, 882, 9909, 276, 253, 1603, 4712, 15, 1456, 23307, 878, 2122, 7876, 272, 418, 24371, 6793, 289, 7189, 313, 652, 1575, 276, 1603, 5703, 15, 1626, 7060, 2077, 255, 13240, 2799, 289, 2356, 313, 2635, 285, 870, 1404, 276, 777, 272, 7198, 314, 20947, 255, 13066, 1360, 285, 2786, 366, 418, 24371, 1536, 312, 313, 27936, 270, 9819, 751, 3685, 285, 6820, 4751, 272, 418, 24371, 6793, 289, 7189, 409, 870, 2071, 30149, 4513, 255, 292, 409, 2958, 6344, 341, 1350, 4214, 891, 359, 3101, 285, 326, 8522, 285, 6844, 6829, 16214, 409, 255, 247, 1057, 255, 3980, 1288, 6793, 270, 600, 313, 1412, 248, 6318, 965, 1757, 335, 5440, 270, 3811, 248, 933, 375, 23421, 313, 3919, 255, 30709, 751, 1809, 285, 1565, 313, 1156, 363, 1020, 363, 2456, 8277, 276, 1778, 8413, 289, 8459, 276, 2456, 31204, 9006, 799, 6907, 15, 1212, 186, 7734, 289, 24291, 582, 461, 1987, 276, 248, 10622, 649, 1449, 359, 657, 272, 248, 3428, 2672, 341, 23991, 2456, 255, 2884, 391, 255, 13182, 255, 14573, 10860, 255, 12667, 1095, 2424, 255, 17257, 13381, 289, 20624, 933, 1542, 10301, 9493, 270, 673, 313, 253, 6705, 272, 755, 1716, 341, 313, 24494, 363, 248, 9817, 2023, 270, 3500, 10353, 248, 3395, 272, 9916, 2189, 285, 277, 1430, 554, 3966, 6474, 289, 672, 3782, 248, 2451, 6296, 15, 683, 186, 673, 1147, 1409, 248, 16018, 15, 643, 1, 3734, 17957, 253, 31522, 17082, 276, 253, 30437, 24358, 186, 29258, 4051, 7300, 359, 253, 3691, 1393, 276, 253, 10766, 4240, 8701, 600, 5775, 4335, 1123, 4623, 806, 12847, 253, 20342, 4335, 276, 253, 10766, 4240, 270, 340, 5775, 4335, 313, 652, 1747, 253, 8125, 289, 2392, 4335, 255, 263, 253, 20342, 4335, 314, 340, 1275, 943, 272, 253, 10766, 4240, 543, 22150, 276, 253, 12526, 6853, 4200, 270, 3295, 253, 12526, 6853, 4200, 255, 581, 1657, 476, 632, 272, 253, 2110, 26844, 2555, 285, 2103, 253, 20342, 4335, 255, 344, 4200, 6762, 255, 332, 253, 4335, 272, 9252, 8771, 335, 9257, 314, 959, 1657, 693, 253, 7847, 289, 15399, 7642, 345, 253, 12526, 6853, 4200, 255, 5183, 2541, 271, 2151, 255, 864, 7468, 253, 20342, 4335, 270, 21041, 12532, 4335, 7642, 359, 1747, 20997, 375, 11042, 7642, 1262, 640, 359, 6516, 1253, 253, 8910, 1784, 285, 1423, 248, 892, 4200, 276, 973, 2110, 270, 974, 1123, 255, 347, 536, 1713, 5775, 335, 253, 935, 64, 993, 17, 255, 581, 1599, 248, 892, 4200, 272, 4451, 285, 1423, 253, 892, 935, 314, 17392, 559, 6762, 7642, 255, 251, 253, 612, 1648, 255, 505, 1747, 1618, 375, 8416, 7642, 1262, 640, 3937, 285, 19723, 335, 253, 1372, 253, 11453, 255, 4070, 1202, 255, 263, 14121, 2110, 314, 16096, 7692, 393, 2622, 27010, 2890, 392, 186, 21928, 271, 566, 6479, 27596, 186, 17391, 64, 3841, 255, 993, 17, 186, 1682, 785, 871, 11842, 7642, 255, 344, 1857, 7847, 2110, 356, 6354, 272, 7767, 406, 999, 1069, 1298, 13, 26103, 255, 332, 253, 7720, 11842, 272, 1069, 643, 775, 797, 1126, 5775, 802, 251, 253, 12526, 6853, 4200, 255, 864, 6162, 276, 11842, 335, 9257, 345, 253, 5775, 4335, 314, 340, 20342, 4335, 28533, 11842, 453, 253, 1266, 4544, 272, 253, 2372, 255, 8517, 5333, 5775, 255, 2236, 11842, 11263, 265, 285, 253, 2372, 270, 8717, 255, 344, 20342, 4335, 28533, 5333, 13648, 453, 1288, 13648, 341, 582, 461, 3233, 5337, 285, 253, 5085, 272, 11842, 314, 3300, 6910, 7692, 393, 2622, 27010, 2890, 392, 32476, 393, 2622, 27010, 255, 344, 1266, 5333, 11842, 313, 453, 7847, 270, 5787, 1365, 268, 28380, 27010, 313, 11263, 265, 285, 253, 2372, 289, 23702, 3589, 272, 5333, 5775, 270, 8717, 255, 15316, 1075, 582, 461, 1999, 1679, 289, 13968, 363, 277, 5333, 15399, 255, 332, 4784, 396, 453, 253, 1266, 5333, 13648, 272, 253, 2372, 314, 16096, 7692, 1232, 785, 973, 15399, 2110, 285, 13977, 448, 253, 1857, 5775, 272, 1069, 29613, 356, 9995, 11842, 1319, 2468, 13648, 795, 340, 2372, 1509, 248, 1324, 8125, 1305, 253, 965, 2396, 272, 4544, 314, 340, 2372, 620, 6243, 253, 2413, 272, 253, 12669, 5775, 4335, 453, 253, 10766, 4240, 314, 465, 3016, 17082, 13172, 414, 3734, 17957, 253, 29221, 12532, 17082, 276, 253, 30437, 24358, 186, 93, 22808, 7300, 359, 3630, 453, 253, 2110, 26844, 276, 253, 12526, 6853, 4200, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35, 3939, 3799, 253, 3927, 6538, 366, 253, 21479, 414, 340, 26475, 4120, 1455, 364, 289, 876, 261, 2993, 31220, 11897, 90, 186, 340, 27352, 13827, 335, 876, 261, 2993, 2356, 255, 344, 26475, 631, 1455, 364, 255, 952, 4356, 276, 64, 19652, 26, 255, 262, 248, 1136, 4429, 272, 876, 261, 2993, 10576, 276, 29183, 15173, 544, 12105, 289, 23301, 270, 340, 26475, 255, 4714, 596, 272, 277, 14942, 289, 22063, 3312, 255, 25145, 5307, 253, 30370, 272, 876, 261, 2993, 2356, 3897, 276, 23491, 248, 3135, 24175, 289, 847, 24005, 1988, 308, 272, 3457, 270, 52, 10301, 363, 277, 30241, 3241, 4359, 335, 10837, 289, 1172, 15792, 255, 1662, 3312, 255, 292, 2328, 8710, 70, 452, 656, 334, 255, 52, 15825, 270, 30407, 255, 3489, 1461, 4267, 253, 1347, 1016, 272, 248, 4717, 289, 620, 8365, 248, 2202, 276, 253, 6572, 14420, 272, 7106, 3159, 390, 270, 3300, 253, 24597, 272, 253, 6809, 272, 13044, 276, 64, 18967, 17, 433, 938, 270, 31823, 252, 3881, 272, 599, 1165, 8078, 255, 3255, 1822, 461, 3270, 285, 1200, 253, 11559, 272, 253, 26475, 255, 43, 261, 8975, 476, 1246, 248, 1829, 6612, 276, 253, 12995, 272, 2356, 270, 17583, 325, 1537, 11558, 17679, 5587, 255, 1529, 1213, 253, 5705, 289, 23740, 359, 4462, 255, 43, 261, 8975, 255, 445, 7617, 28624, 255, 505, 1412, 23751, 363, 253, 797, 13182, 78, 10106, 272, 2817, 802, 475, 6171, 1464, 8801, 270, 17073, 532, 4325, 252, 3881, 1306, 24794, 276, 64, 17336, 23, 255, 31440, 272, 253, 6809, 272, 13044, 724, 5333, 64, 3086, 21571, 289, 13013, 649, 247, 64, 19652, 26, 917, 724, 64, 26583, 876, 261, 2993, 4225, 649, 1639, 64, 17773, 17, 255, 2750, 730, 64, 4826, 649, 332, 433, 64, 14589, 20, 255, 344, 935, 272, 253, 10644, 1306, 6415, 1592, 255, 1534, 724, 64, 5585, 26, 4225, 289, 64, 16764, 4618, 247, 3026, 270, 7375, 917, 396, 313, 6107, 341, 253, 2758, 272, 876, 261, 2993, 4225, 10908, 806, 650, 289, 248, 3386, 3659, 1172, 8968, 270, 1294, 10937, 7832, 3272, 532, 4325, 252, 992, 3552, 19189, 461, 914, 5692, 980, 255, 772, 652, 28801, 980, 289, 23740, 1080, 314, 43, 261, 2993, 28670, 1358, 1158, 345, 253, 1391, 2070, 2260, 272, 1524, 255, 1529, 253, 8684, 4534, 272, 248, 2553, 313, 1412, 5935, 285, 9937, 289, 5903, 2283, 270, 31425, 26073, 10064, 36, 287, 1203, 255, 52, 15825, 1353, 9136, 272, 1547, 876, 261, 2993, 21479, 272, 4769, 414, 31823, 252, 3881, 255, 22256, 602, 255, 332, 22554, 554, 9063, 255, 6616, 84, 3482, 285, 253, 27604, 19715, 289, 29434, 2260, 272, 248, 876, 261, 2993, 2356, 255, 1529, 1524, 313, 15813, 255, 19457, 255, 332, 461, 11496, 285, 743, 668, 12628, 1208, 3275, 340, 4438, 272, 876, 261, 2993, 2356, 620, 461, 838, 276, 800, 27352, 2142, 270, 11539, 253, 4438, 620, 2195, 838, 276, 800, 2049, 272, 904, 2356, 543, 335, 2930, 2447, 253, 26475, 631, 1455, 364, 313, 276, 1021, 2192, 248, 5562, 289, 4318, 14746, 3312, 255, 247, 4558, 876, 261, 2993, 10837, 366, 27492, 289, 1603, 9124, 5513, 1694, 19805, 453, 18381, 1915, 285, 244, 526, 1622, 289, 2290, 1574, 3863, 1694, 264, 32418, 9382, 717, 1524, 363, 248, 1372, 20723, 901, 289, 4396, 84, 3526, 285, 9260, 285, 253, 8348, 289, 6152, 2129, 272, 1172, 270, 34, 6886, 23948, 448, 253, 797, 6863, 272, 20240, 802, 445, 1789, 758, 253, 12630, 1074, 272, 253, 3312, 276, 11265, 253, 30282, 255, 16043, 255, 332, 9937, 6044, 272, 253, 1603, 1600, 270, 4756, 1934, 22636, 345, 6152, 1487, 8662, 255, 84, 407, 889, 7137, 428, 3421, 255, 332, 31470, 272, 253, 538, 1526, 271, 987, 12265, 255, 24626, 2097, 433, 2097, 596, 281, 1410, 1721, 847, 1934, 22636, 345, 8913, 335, 3353, 14068, 255, 27207, 2448, 397, 335, 11532, 268, 846, 3334, 255, 332, 2142, 335, 32733, 248, 5924, 270, 1099, 2434, 253, 26475, 4930, 289, 1254, 417, 3689, 526, 70, 255, 2691, 255, 262, 253, 13327, 3923, 268, 272, 253, 2387, 5648, 366, 253, 29775, 270, 27896, 272, 253, 6809, 272, 13044, 276, 253, 64, 1456, 380, 3227, 724, 1865, 285, 8408, 904, 543, 905, 16912, 276, 556, 4143, 1894, 8236, 268, 253, 499, 665, 7171, 1402, 272, 2356, 270, 31823, 252, 992, 21695, 255, 1229, 253, 26475, 276, 1648, 255, 9743, 7740, 255, 292, 10064, 36, 287, 1203, 5190, 255, 260, 9749, 272, 1213, 675, 19717, 1208, 289, 3663, 3275, 600, 543, 285, 326, 277, 9749, 461, 11496, 285, 253, 15122, 272, 253, 9166, 255, 772, 650, 285, 3683, 945, 285, 718, 1020, 276, 3457, 289, 14355, 870, 8236, 255, 2236, 3436, 255, 66, 2817, 289, 248, 12011, 436, 1131, 366, 25241, 289, 7881, 5032, 11665, 36, 287, 1203, 1436, 11665, 36, 287, 1203, 4582, 1264, 315, 16142, 5140, 84, 877, 253, 26475, 289, 532, 4325, 252, 3881, 1306, 587, 4303, 18462, 255, 5482, 253, 2206, 26138, 31839, 270, 340, 8978, 26311, 289, 8626, 255, 84, 10301, 363, 253, 24814, 741, 272, 253, 8978, 18007, 272, 253, 31839, 255, 21177, 2716, 253, 2761, 25961, 285, 27990, 248, 2246, 366, 4290, 255, 864, 797, 81, 11760, 802, 332, 797, 84, 3064, 4290, 17024, 14052, 802, 332, 433, 3463, 705, 797, 13034, 3724, 253, 1275, 335, 696, 536, 359, 2966, 2930, 465, 253, 2808, 272, 248, 4717, 255, 66, 2553, 255, 292, 253, 26475, 631, 1455, 364, 9700, 255, 262, 4660, 255, 2401, 363, 253, 2761, 25961, 276, 253, 31839, 255, 864, 6464, 4290, 554, 21020, 270, 340, 876, 261, 2993, 6843, 272, 19293, 7621, 276, 556, 9166, 7078, 289, 1015, 279, 2389, 556, 4443, 22629, 289, 18728, 1988, 490, 397, 313, 929, 1811, 477, 8956, 642, 730, 276, 253, 6982, 345, 797, 49, 3061, 272, 2376, 289, 10812, 802, 247, 253, 26475, 578, 43, 261, 2993, 1172, 939, 2415, 1861, 632, 285, 11900, 556, 24089, 272, 2376, 289, 285, 1927, 248, 1250, 10812, 276, 1996, 255, 27589, 276, 713, 5113, 612, 730, 4290, 554, 28632, 289, 945, 554, 9937, 4470, 649, 332, 276, 556, 1395, 13717, 391, 255, 1449, 939, 5392, 2781, 335, 253, 21020, 285, 3552, 276, 1524, 255, 549, 341, 255, 623, 1600, 255, 30651, 6099, 255, 1449, 672, 873, 285, 27990, 253, 16393, 20636, 272, 4510, 849, 14052, 314, 41, 4361, 1954, 289, 30241, 255, 1662, 26071, 276, 253, 847, 14900, 272, 797, 51, 2516, 335, 876, 261, 2993, 14611, 802, 4003, 1172, 285, 21383, 4290, 721, 556, 23740, 289, 1418, 12095, 7813, 285, 1580, 556, 1996, 289, 1372, 6708, 270, 43, 261, 2993, 24316, 285, 253, 26475, 10189, 6217, 315, 4290, 366, 13224, 6638, 289, 3748, 1172, 285, 867, 26342, 1720, 255, 772, 1618, 9831, 255, 2003, 2195, 7611, 1939, 345, 253, 22292, 263, 314, 7828, 16258, 335, 800, 5705, 289, 1339, 28216, 1074, 255, 344, 26475, 631, 1455, 364, 255, 263, 797, 13123, 272, 8653, 802, 475, 876, 261, 2993, 4225, 255, 262, 1331, 596, 730, 248, 1648, 4278, 285, 5303, 3526, 289, 19753, 276, 253, 1137, 1503, 4810, 4279, 272, 556, 1603, 270, 36, 278, 5566, 253, 23740, 366, 253, 5705, 255, 332, 8870, 650, 554, 9166, 285, 16999, 4988, 13122, 887, 255, 344, 26475, 620, 27978, 253, 797, 8266, 5745, 272, 1953, 7311, 935, 1253, 935, 285, 10184, 272, 1172, 5032, 49, 656, 334, 795, 3206, 3159, 8580, 876, 261, 2993, 13013, 289, 4225, 10566, 4111, 272, 8665, 3457, 1199, 6270, 285, 4225, 276, 253, 64, 1456, 380, 3227, 255, 344, 532, 4325, 252, 992, 2356, 9391, 6966, 285, 1189, 73, 2120, 2816, 12105, 270, 10608, 2847, 253, 5176, 1461, 272, 253, 26475, 8312, 596, 276, 800, 5705, 730, 276, 800, 23817, 15787, 979, 314, 974, 2258, 4628, 345, 253, 1461, 272, 532, 4325, 252, 992, 28670, 255, 9108, 253, 1387, 2084, 578, 5559, 363, 253, 2206, 26138, 31839, 359, 20580, 276, 3600, 1202, 289, 17966, 335, 253, 2761, 25961, 255, 8611, 253, 876, 261, 2993, 2356, 1222, 24753, 954, 480, 1112, 2260, 911, 919, 313, 248, 876, 261, 2993, 2356, 881, 26885, 285, 253, 7621, 1306, 22548, 879, 919, 313, 253, 2753, 1217, 2511, 3675, 253, 876, 261, 2993, 27352, 1222, 879, 919, 359, 253, 8348, 255, 1201, 26138, 255, 332, 32657, 2129, 272, 253, 2553, 259, 1506, 335, 276, 248, 17164, 8684, 289, 4396, 389, 1632, 879, 7107, 253, 26475, 631, 1455, 364, 272, 64, 19652, 26, 476, 5176, 2769, 911, 2776, 480, 27352, 13827, 276, 1757, 366, 3159, 3457, 879, 11665, 36, 287, 1203, 255, 31425, 26073, 255, 52, 15825, 270, 340, 876, 261, 2993, 21479, 272, 4769, 414, 31823, 252, 3881, 255, 22256, 602, 289, 22554, 554, 9063, 270, 44, 20215, 8630, 414, 30044, 73, 334, 303, 7724, 255, 2586, 26, 255, 81, 270, 19, 314, 49, 656, 334, 255, 2655, 8710, 70, 255, 52, 15825, 270, 340, 19282, 2437, 272, 876, 261, 2993, 4769, 270, 17660, 525, 7733, 14841, 43, 261, 2993, 30062, 7331, 255, 2586, 24, 255, 81, 270, 2644, 314, 1038, 270, 31823, 252, 3881, 272, 599, 1165, 8078, 270, 340, 2206, 26138, 31839, 270, 3449, 5243, 414, 49, 23165, 247, 15107, 255, 1605, 23, 255, 81, 270, 2644, 26, 8489, 340, 26475, 631, 1455, 364, 414, 340, 18855, 430, 6182, 335, 876, 261, 2993, 4769, 270, 5678, 270, 2655, 8710, 70, 452, 656, 334, 255, 52, 15825, 270, 52, 8616, 18136, 2591, 340, 4975, 272, 876, 261, 2993, 28490, 255, 971, 22, 255, 2557, 1538, 15, 1, 960, 88, 29005, 227, 18201, 213, 20622, 113, 209, 169, 234, 229, 168, 220, 237, 168, 122, 237, 29005, 209, 167, 104, 110, 14791, 115, 237, 168, 241, 210, 18201, 233, 64, 169, 235, 221, 166, 117, 209, 168, 220, 238, 14791, 239, 226, 168, 213, 111, 14791, 220, 237, 29005, 210, 169, 234, 229, 1082, 5241, 22230, 363, 21964, 1082, 5241, 1185, 30615, 18925, 9564, 363, 528, 85, 5239, 88, 30, 17, 15, 18, 1082, 67, 30, 17, 15, 20, 1082, 11092, 1031, 4108, 62, 5239, 475, 2062, 276, 1684, 9, 1504, 17, 7944, 339, 89, 18, 580, 8849, 30618, 15, 5606, 9, 17, 15, 17, 255, 17, 15, 4149, 2754, 339, 90, 18, 580, 89, 18, 3773, 88, 1241, 67, 1241, 8849, 30618, 15, 5606, 9, 17, 15, 17, 255, 17, 15, 7982, 2754, 339, 11092, 1031, 6009, 9373, 89, 18, 255, 90, 18, 29359, 24566, 89, 878, 4108, 87, 60, 17, 2053, 475, 399, 276, 1621, 68, 1031, 13640, 90, 878, 4108, 87, 60, 18, 2053, 475, 399, 276, 1621, 68, 1031, 62, 5239, 1380, 2615, 878, 16235, 20, 29359, 1380, 2615, 878, 16235, 20, 29359, 12133, 31103, 2615, 878, 255, 90, 878, 9008, 287, 18510, 12133, 15, 4556, 531, 12721, 12133, 28688, 9, 9255, 960, 169, 214, 225, 168, 213, 237, 169, 229, 221, 167, 96, 237, 167, 96, 237, 14791, 115, 237, 168, 241, 210, 18201, 233, 64, 169, 235, 221, 166, 117, 209, 168, 213, 241, 64, 166, 118, 220, 166, 118, 110, 1082, 5241, 24436, 5350, 363, 244, 71, 5239, 88, 580, 29884, 15, 31078, 5195, 71, 30618, 8074, 9373, 18, 4048, 14, 18, 15, 17, 255, 18, 15, 17, 14642, 67, 580, 29884, 15, 31078, 5195, 71, 15, 8480, 395, 9373, 18, 62, 14642, 12428, 580, 88, 3773, 89, 878, 1241, 67, 1082, 14838, 580, 29884, 15, 18444, 1676, 5195, 71, 5799, 7956, 9, 12428, 956, 90, 878, 10, 9255, 32004, 6361, 580, 29884, 7005, 1296, 18122, 2185, 744, 6939, 1191, 10333, 317, 6361, 9, 8589, 2087, 30, 17, 15, 22, 2754, 21774, 580, 32004, 6361, 15, 1764, 20428, 10724, 1342, 9255, 84, 379, 580, 29884, 2744, 12932, 12721, 84, 379, 15, 7535, 5195, 71, 2263, 77, 2312, 4283, 3634, 6361, 5785, 9255, 475, 1757, 276, 1684, 9, 728, 6382, 10955, 583, 4836, 1082, 339, 84, 379, 15, 7535, 5195, 1296, 2754, 339, 1380, 9, 14671, 255, 1634, 3410, 84, 379, 15, 7535, 29576, 823, 1634, 3410, 84, 379, 15, 7535, 6814, 823, 1634, 3410, 84, 379, 15, 7535, 10724, 1342, 14642, 24566, 6174, 168, 220, 237, 29005, 210, 169, 234, 229, 1082, 339, 12133, 31103, 2615, 878, 255, 90, 878, 9008, 287, 18510, 339, 12133, 31103, 2615, 878, 255, 84, 379, 15, 7535, 29576, 18392, 89, 878, 1241, 84, 379, 15, 7535, 6814, 14642, 339, 12133, 11288, 13050, 3242, 89, 18510, 339, 12133, 11288, 13050, 3242, 90, 18510, 339, 12133, 15, 4556, 531, 12721, 339, 12133, 28688, 5785, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18203, 22933, 289, 22123, 320, 10180, 1717, 356, 10232, 11851, 680, 10232, 11851, 255, 4629, 1724, 363, 17330, 14, 1130, 14, 1065, 14, 497, 824, 356, 4669, 58, 53, 823, 262, 248, 1135, 272, 16593, 335, 24502, 16562, 1625, 345, 253, 1844, 22410, 270, 10232, 11851, 313, 16714, 7508, 363, 253, 2167, 905, 2379, 2913, 248, 18865, 1150, 409, 1409, 285, 2587, 4678, 255, 15075, 15613, 255, 332, 2587, 3037, 1869, 270, 10232, 11851, 313, 248, 1774, 1770, 11782, 4199, 335, 18865, 8682, 285, 2969, 253, 1402, 554, 64, 2157, 1186, 69, 1286, 274, 3940, 433, 64, 2478, 21, 270, 340, 4344, 620, 1114, 3919, 16917, 11851, 363, 248, 1774, 4199, 335, 5815, 4678, 649, 2154, 5297, 276, 253, 4344, 554, 1601, 20256, 14493, 5911, 18611, 356, 993, 23, 406, 332, 5105, 276, 253, 14821, 2344, 5666, 31630, 20972, 6675, 26352, 30000, 356, 993, 19, 406, 332, 253, 4344, 554, 30669, 32338, 5911, 6182, 356, 22233, 27899, 64, 1605, 18, 255, 353, 1930, 276, 64, 971, 23, 1436, 355, 39, 3672, 753, 21973, 872, 186, 355, 31495, 753, 21973, 872, 186, 355, 9169, 315, 21973, 872, 186, 10232, 11851, 313, 248, 746, 276, 696, 12111, 2846, 335, 27175, 4833, 4678, 356, 4331, 56, 406, 30273, 604, 3154, 272, 4678, 26901, 3191, 730, 13870, 882, 248, 5352, 15639, 375, 4045, 4139, 270, 1316, 12111, 2846, 3233, 335, 4678, 16562, 2955, 255, 1449, 359, 2843, 366, 248, 4051, 23284, 285, 2587, 556, 4678, 882, 20764, 375, 32695, 255, 88, 5056, 5281, 255, 250, 8927, 268, 255, 332, 14083, 268, 314, 34, 3251, 272, 3276, 356, 6011, 255, 10944, 255, 5072, 255, 30972, 406, 1758, 9597, 255, 344, 706, 2744, 270, 15340, 12467, 13957, 356, 23706, 823, 344, 7969, 13507, 5666, 31630, 9004, 356, 47, 2020, 36, 823, 332, 253, 7969, 13507, 32338, 5911, 18855, 3594, 7331, 356, 47, 13818, 14652, 34, 406, 3980, 8485, 16917, 11851, 289, 4407, 341, 396, 313, 2521, 285, 11213, 7259, 2500, 2374, 448, 253, 1402, 289, 27175, 1115, 314, 34, 22866, 272, 20949, 31410, 18865, 8682, 476, 13439, 253, 806, 64, 24, 13, 1637, 4615, 29537, 356, 23706, 406, 1554, 476, 7029, 7152, 16917, 11851, 3602, 270, 600, 1633, 341, 15869, 276, 556, 18962, 359, 10201, 335, 4678, 4788, 1625, 345, 253, 1844, 272, 4678, 640, 13666, 2634, 956, 247, 253, 1112, 1119, 341, 640, 359, 10201, 335, 7108, 255, 18160, 255, 332, 612, 25530, 270, 600, 2421, 18686, 335, 12111, 285, 461, 914, 1959, 253, 1844, 640, 32656, 289, 1746, 369, 1175, 652, 285, 2128, 697, 2192, 285, 5096, 1319, 4678, 276, 253, 965, 1741, 314, 10232, 11851, 3602, 359, 8552, 289, 867, 276, 1021, 2063, 272, 4615, 448, 253, 1105, 67, 375, 448, 253, 3976, 7044, 1018, 4043, 20496, 15413, 375, 7974, 84, 270, 340, 18419, 272, 253, 15413, 375, 7974, 84, 313, 11462, 705, 341, 12111, 359, 12034, 405, 1076, 285, 3801, 248, 4059, 2091, 255, 6317, 5815, 253, 1844, 272, 24502, 5080, 289, 2958, 14083, 268, 289, 15613, 314, 15828, 16917, 11851, 965, 1485, 612, 2500, 2374, 3602, 270, 2789, 8028, 359, 596, 2237, 285, 8702, 276, 1105, 1723, 517, 375, 4837, 10732, 1454, 4788, 3602, 861, 640, 2865, 11008, 5275, 556, 24502, 356, 5824, 14002, 255, 993, 25, 795, 14802, 289, 30081, 3602, 870, 1959, 6344, 289, 8459, 1943, 1175, 582, 461, 2587, 4678, 448, 253, 8240, 272, 248, 16917, 11851, 1705, 314, 16705, 14, 1130, 14, 1065, 14, 497, 824, 375, 16917, 11851, 3602, 797, 250, 1234, 632, 7189, 1694, 250, 8927, 268, 255, 3244, 25719, 255, 332, 2300, 5281, 25670, 2587, 253, 1844, 272, 23700, 18746, 2634, 270, 10869, 5281, 313, 253, 14205, 408, 4678, 2374, 4199, 289, 4133, 272, 253, 5481, 10112, 5032, 340, 21105, 8626, 255, 971, 19, 1436, 10232, 11851, 313, 579, 3672, 753, 21973, 872, 186, 5678, 14183, 272, 4833, 4678, 2374, 3793, 11749, 366, 16917, 11851, 3239, 5291, 356, 11203, 248, 4605, 877, 5815, 3793, 289, 5815, 24502, 406, 29827, 405, 3334, 15869, 285, 2856, 1319, 24502, 270, 3651, 12111, 5346, 1979, 253, 8818, 329, 799, 640, 13666, 2634, 24502, 255, 1449, 2846, 3482, 270, 1696, 882, 14619, 3482, 285, 904, 409, 326, 20974, 276, 253, 5280, 11220, 255, 8681, 483, 285, 248, 7967, 2999, 5048, 255, 263, 300, 3710, 7578, 4678, 289, 7578, 904, 248, 22315, 29109, 345, 24502, 270, 600, 1528, 276, 1319, 12393, 79, 487, 444, 31683, 289, 244, 6643, 448, 253, 4678, 3665, 21977, 10279, 314, 10232, 11851, 1528, 276, 3004, 1770, 11782, 285, 7444, 289, 18962, 255, 332, 2421, 277, 1156, 2508, 285, 1447, 2264, 3793, 272, 24502, 16562, 270, 1130, 277, 1123, 255, 1038, 15412, 2125, 255, 4793, 620, 12002, 806, 1069, 24, 46, 345, 13882, 4678, 16562, 3793, 2790, 10853, 16917, 11851, 276, 64, 1605, 19, 270, 2148, 10853, 16917, 11851, 255, 332, 5815, 24502, 2374, 3793, 255, 3492, 6155, 8682, 476, 253, 4830, 285, 2072, 725, 3074, 10842, 335, 693, 12498, 276, 556, 28879, 270, 10232, 11851, 313, 248, 1774, 1770, 11782, 4199, 285, 870, 18865, 8682, 2969, 5550, 274, 3940, 272, 64, 2157, 1186, 1639, 64, 2478, 21, 363, 15236, 276, 253, 64, 993, 23, 1601, 20256, 14493, 5911, 18611, 314, 10232, 11851, 3602, 949, 3210, 2500, 453, 9597, 554, 4678, 3665, 21977, 8306, 289, 721, 253, 2500, 20764, 289, 15613, 13431, 270, 3030, 2120, 289, 15613, 2500, 2965, 1319, 1606, 289, 276, 2199, 13035, 1319, 10423, 2826, 5901, 730, 10156, 375, 2802, 71, 4398, 24502, 314, 9864, 6060, 5415, 272, 16917, 11851, 916, 943, 276, 5815, 10423, 9632, 433, 253, 5876, 272, 22130, 650, 4977, 8389, 345, 1255, 3569, 276, 9597, 356, 56, 5056, 26800, 289, 17148, 23757, 40, 6356, 2477, 3620, 19467, 1436, 355, 1173, 7263, 272, 16917, 11851, 335, 9597, 462, 16328, 8682, 356, 56, 5056, 26800, 64, 993, 23, 14, 993, 25, 680, 355, 52, 14057, 9597, 255, 34, 1402, 6060, 1705, 2006, 433, 253, 4975, 335, 24779, 8958, 448, 13722, 20949, 31410, 4344, 2268, 255, 52, 14057, 9597, 4257, 2214, 289, 6967, 4615, 285, 1940, 596, 3892, 255, 383, 307, 744, 255, 332, 16346, 270, 4461, 2913, 64, 24, 15, 23, 797, 15828, 26584, 22933, 289, 22123, 320, 10180, 1717, 356, 10232, 11851, 406, 14257, 2106, 3492, 6155, 8682, 409, 13437, 2436, 775, 480, 289, 612, 4404, 335, 4924, 285, 2587, 17321, 24502, 5085, 314, 355, 340, 7969, 13507, 32338, 5911, 18855, 3594, 7331, 356, 47, 13818, 14652, 34, 406, 15499, 1576, 1996, 255, 534, 18411, 2500, 255, 3627, 6591, 15337, 289, 248, 16917, 11851, 1810, 17054, 335, 9855, 4615, 314, 355, 29973, 525, 6949, 620, 7572, 2425, 1895, 3483, 878, 289, 1705, 1030, 335, 3989, 13175, 16917, 11851, 3602, 255, 2523, 11050, 255, 11360, 515, 255, 332, 1576, 1996, 314, 355, 6011, 525, 6949, 17330, 14, 1130, 14, 1065, 14, 497, 824, 414, 1173, 28645, 312, 8690, 335, 30669, 32338, 13396, 20681, 452, 715, 268, 21859, 186, 355, 6011, 525, 6949, 16917, 11851, 538, 489, 987, 531, 626, 345, 4344, 3539, 821, 335, 9350, 8486, 289, 3413, 2955, 186, 355, 9121, 25482, 272, 400, 781, 14526, 16841, 58, 53, 356, 14182, 16917, 11851, 406, 292, 1559, 4199, 285, 2587, 27175, 4833, 4678, 314, 355, 30925, 335, 21036, 15827, 6840, 4839, 8070, 878, 26157, 341, 16841, 58, 53, 356, 14182, 16917, 11851, 406, 262, 797, 344, 2167, 905, 2379, 1119, 285, 19802, 289, 22990, 12111, 285, 2587, 255, 250, 2120, 255, 250, 17388, 289, 14083, 802, 332, 313, 7508, 363, 253, 6318, 965, 1757, 285, 11889, 4451, 4678, 314, 355, 46, 527, 8659, 255, 4793, 12111, 5096, 64, 4066, 8731, 272, 24502, 604, 28264, 16704, 3510, 285, 2984, 9597, 22315, 272, 64, 24, 2055, 8731, 186, 355, 1038, 15412, 2125, 255, 4793, 620, 12002, 1069, 24, 46, 345, 24502, 2790, 64, 1605, 19, 186, 355, 340, 7969, 13507, 32338, 5911, 18855, 3594, 7331, 356, 47, 13818, 14652, 34, 406, 14633, 1576, 1996, 345, 2032, 9855, 4615, 276, 2801, 8049, 335, 2165, 285, 1636, 453, 186, 355, 29973, 620, 64, 18218, 4615, 366, 16917, 11851, 356, 263, 17330, 363, 4583, 2905, 824, 406, 1229, 277, 2984, 4678, 5085, 272, 64, 21, 3523, 8731, 604, 1217, 16704, 356, 6011, 525, 6949, 289, 32338, 26800, 795, 6011, 525, 6949, 14948, 8653, 359, 1895, 285, 1636, 811, 3602, 276, 1105, 1723, 517, 289, 4837, 10732, 4615, 724, 7152, 186, 14485, 8653, 285, 23151, 13462, 186, 355, 32197, 646, 255, 4793, 186, 32628, 938, 515, 452, 715, 268, 21619, 276, 20949, 31410, 186, 1132, 359, 697, 64, 1428, 3602, 448, 27175, 3976, 11826, 276, 9597, 255, 87, 592, 268, 453, 7864, 391, 289, 28905, 6877, 285, 2846, 12072, 1333, 489, 270, 340, 1387, 313, 461, 277, 16346, 19772, 255, 772, 409, 326, 785, 285, 6621, 1705, 3041, 289, 18419, 335, 18865, 8682, 6018, 276, 10853, 248, 1705, 448, 556, 3976, 7044, 270, 1316, 20546, 755, 3602, 255, 6212, 1927, 276, 2605, 341, 248, 16917, 11851, 1705, 313, 905, 2379, 799, 356, 18, 406, 2154, 272, 253, 15869, 276, 248, 18865, 1150, 8702, 276, 253, 1705, 289, 356, 19, 406, 2446, 253, 1770, 2115, 313, 3128, 285, 1552, 248, 1618, 23284, 285, 2587, 253, 1844, 272, 24502, 22410, 314, 859, 360, 476, 818, 2084, 375, 861, 360, 359, 6018, 276, 1524, 596, 697, 16917, 11851, 255, 6212, 2893, 876, 31424, 5177, 1935, 2257, 448, 64, 25, 2157, 14, 21, 1912, 14, 13195, 25, 314, 16302, 2121, 8960, 8675, 64, 2478, 17, 1, 1316, 4214, 476, 9820, 16976, 13282, 486, 933, 620, 1952, 16479, 255, 1129, 2539, 461, 4960, 270, 24469, 1464, 285, 3169, 604, 1277, 272, 1404, 2002, 9530, 276, 480, 1666, 270, 340, 1825, 6109, 313, 341, 905, 1952, 2491, 409, 326, 9302, 375, 5458, 2067, 366, 253, 1250, 5464, 27888, 3699, 270, 34, 933, 366, 1952, 9530, 672, 476, 9820, 2204, 3241, 289, 13063, 1952, 375, 27882, 356, 3988, 363, 6230, 389, 1952, 823, 263, 1140, 396, 2205, 285, 2951, 3068, 882, 253, 13063, 375, 3241, 2285, 356, 3988, 363, 32657, 1952, 795, 1065, 1560, 5749, 486, 933, 620, 9820, 10595, 375, 1387, 6384, 270, 1245, 1560, 461, 476, 1021, 1909, 375, 4036, 930, 17271, 255, 28156, 29085, 1262, 640, 409, 1197, 2951, 3068, 255, 14460, 11057, 5202, 285, 2084, 255, 263, 8652, 285, 831, 2132, 3241, 375, 13063, 8668, 270, 11424, 359, 253, 871, 1266, 2063, 272, 1952, 9530, 335, 1404, 255, 332, 904, 285, 3748, 453, 1213, 270, 3030, 20752, 1952, 3348, 20752, 1952, 313, 253, 2508, 285, 1290, 1909, 289, 5291, 270, 7734, 366, 6230, 389, 1952, 2491, 672, 476, 9820, 2204, 904, 313, 1285, 2322, 375, 5208, 272, 713, 270, 2124, 1404, 366, 6230, 389, 1952, 9530, 1940, 530, 70, 458, 448, 19686, 725, 345, 1774, 1909, 375, 27882, 270, 1316, 480, 4955, 255, 264, 672, 2141, 844, 640, 1290, 904, 313, 1285, 27902, 799, 276, 1057, 640, 359, 1018, 18324, 285, 8007, 289, 4054, 270, 12019, 345, 556, 2163, 255, 9790, 366, 6230, 389, 1952, 9530, 1560, 414, 1038, 529, 29246, 285, 1290, 289, 1025, 6384, 3648, 587, 844, 640, 9277, 1197, 14619, 3482, 4280, 9873, 248, 1949, 4010, 272, 4558, 277, 2428, 608, 389, 277, 11057, 2428, 255, 292, 1960, 640, 12146, 1197, 6257, 253, 1949, 20149, 9820, 30960, 345, 904, 554, 1285, 2322, 8224, 6616, 289, 2798, 1953, 4776, 289, 2292, 12516, 5492, 1952, 12516, 5492, 1952, 313, 253, 2508, 285, 7183, 1018, 1909, 255, 71, 12290, 8829, 289, 27882, 270, 7734, 366, 32657, 1952, 2491, 409, 2340, 831, 1909, 255, 772, 476, 9820, 2204, 811, 1909, 289, 8668, 3683, 2307, 285, 831, 3368, 270, 12019, 345, 556, 2163, 255, 9790, 366, 15233, 1952, 9530, 1560, 414, 6531, 7586, 5368, 253, 1250, 1909, 285, 2951, 3068, 9947, 326, 7811, 9372, 10327, 1909, 289, 8668, 3510, 285, 1404, 272, 248, 2011, 2163, 579, 17271, 693, 253, 4708, 1909, 375, 5161, 642, 1909, 276, 8668, 356, 1449, 1560, 2222, 797, 42, 2779, 802, 8980, 272, 797, 42, 881, 2779, 13691, 6531, 7586, 20177, 486, 2084, 20149, 7586, 13590, 360, 904, 640, 476, 838, 3463, 375, 1649, 2832, 248, 3327, 748, 4934, 8797, 345, 1018, 6241, 12391, 799, 8094, 366, 2165, 11276, 2550, 255, 9790, 852, 1952, 2335, 448, 902, 3911, 270, 7098, 255, 1449, 3322, 777, 248, 2483, 4173, 870, 285, 8477, 725, 366, 556, 12577, 270, 2968, 25112, 13174, 985, 2484, 409, 1552, 4096, 289, 1360, 335, 486, 2456, 270, 10924, 471, 335, 596, 1030, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 600, 21404, 1833, 543, 3241, 433, 1547, 383, 66, 9314, 2796, 690, 1694, 594, 9443, 9744, 276, 253, 3862, 255, 16241, 255, 332, 6809, 5746, 448, 9584, 26546, 4975, 272, 6929, 314, 7833, 9987, 255, 42, 6620, 248, 6663, 1833, 697, 253, 2240, 2183, 272, 1454, 13344, 453, 253, 64, 5920, 17, 84, 882, 253, 64, 3882, 17, 14, 3200, 84, 270, 465, 480, 5037, 377, 255, 581, 3738, 6422, 596, 3520, 1454, 14077, 5358, 815, 255, 6047, 6012, 255, 332, 5653, 19589, 270, 7571, 11336, 276, 849, 2204, 272, 253, 4529, 746, 255, 332, 13085, 11076, 276, 14077, 5594, 4764, 356, 1901, 253, 5530, 1356, 5179, 86, 1781, 823, 344, 3731, 272, 248, 11716, 375, 2379, 6012, 335, 1454, 13344, 28955, 314, 340, 25889, 272, 19032, 38, 186, 20842, 8415, 6012, 724, 965, 6034, 276, 3095, 255, 332, 1232, 25133, 16005, 3298, 276, 3966, 5703, 285, 1299, 1213, 9073, 13344, 289, 1454, 13344, 4423, 276, 64, 6662, 18, 270, 340, 1608, 272, 277, 26698, 277, 21337, 77, 9783, 2669, 543, 255, 332, 313, 255, 996, 1309, 270, 14598, 272, 253, 2240, 14077, 3678, 289, 1778, 9573, 23776, 2658, 253, 5230, 14, 3882, 17, 84, 255, 2446, 871, 4784, 1251, 8413, 5702, 5553, 14411, 5438, 516, 255, 263, 19032, 38, 18112, 9511, 341, 7104, 3080, 276, 1391, 1704, 314, 42, 72, 38, 554, 7165, 4498, 285, 248, 2898, 2204, 272, 253, 12367, 2669, 341, 4639, 6497, 258, 4087, 255, 1201, 282, 756, 596, 1251, 1591, 253, 1783, 272, 12152, 6432, 270, 2148, 64, 3282, 22, 255, 344, 965, 19825, 1895, 289, 7577, 1704, 1136, 335, 19032, 38, 4183, 1895, 335, 3966, 693, 270, 42, 72, 38, 3678, 3722, 4183, 248, 1737, 7076, 276, 14077, 5653, 255, 4477, 277, 11584, 4013, 272, 19032, 38, 1943, 276, 253, 1704, 1412, 6704, 248, 1454, 14077, 314, 42, 72, 38, 620, 8365, 277, 13692, 2202, 276, 7696, 14077, 1251, 255, 32037, 255, 332, 1778, 270, 1452, 255, 2003, 19032, 38, 3642, 1552, 1030, 363, 285, 253, 10094, 272, 2507, 248, 1454, 14077, 255, 1489, 14, 2157, 1186, 999, 19032, 38, 1704, 3642, 6580, 248, 797, 21154, 2451, 802, 5375, 255, 11203, 248, 1825, 4701, 272, 10563, 276, 5653, 270, 42, 72, 38, 363, 277, 14077, 23748, 254, 313, 15070, 2501, 453, 4425, 314, 10617, 5530, 25901, 956, 34, 542, 2315, 5054, 1681, 562, 879, 859, 360, 1025, 253, 6109, 375, 1701, 3604, 255, 263, 476, 248, 2816, 933, 276, 253, 1603, 746, 255, 264, 7959, 4224, 341, 1454, 13344, 359, 345, 253, 4845, 270, 3206, 1454, 14077, 6344, 620, 2650, 806, 253, 2121, 10100, 289, 620, 1940, 248, 596, 3786, 4161, 272, 8565, 255, 344, 1454, 14077, 11994, 2087, 620, 838, 2261, 285, 1650, 366, 7344, 314, 30594, 345, 253, 3638, 289, 2985, 1454, 14077, 2530, 359, 637, 2717, 85, 1144, 270, 600, 313, 7607, 1262, 253, 1982, 8797, 345, 2593, 878, 4753, 6067, 2348, 902, 2142, 289, 1251, 2424, 270, 48, 1289, 430, 8021, 1741, 253, 4137, 448, 1591, 64, 1204, 3659, 270, 16400, 285, 480, 12842, 313, 253, 7586, 276, 5418, 268, 253, 4013, 272, 277, 14077, 366, 1557, 10299, 2957, 356, 6755, 19032, 38, 3678, 255, 17676, 271, 1861, 795, 340, 5405, 272, 1454, 14077, 289, 1454, 26541, 2162, 3586, 345, 2095, 4518, 1533, 268, 289, 4034, 2095, 21611, 16689, 12938, 1288, 1982, 12042, 10134, 7998, 270, 34, 3520, 1854, 3851, 448, 2593, 902, 14077, 1996, 1246, 341, 797, 60, 84, 62, 1759, 32543, 11994, 272, 1454, 14077, 10934, 453, 64, 18, 15, 19, 1186, 864, 64, 1626, 1186, 475, 5943, 255, 17, 15, 19, 1186, 864, 64, 24, 1186, 475, 4809, 255, 17, 1186, 864, 64, 19, 1186, 475, 25217, 16780, 289, 4346, 255, 17, 1186, 864, 64, 728, 1186, 475, 7973, 8339, 255, 332, 64, 20, 1186, 864, 64, 2947, 1186, 475, 1726, 1126, 3845, 62, 2930, 34, 64, 993, 20, 1854, 2258, 6658, 341, 797, 252, 2082, 64, 18, 6, 1469, 19, 1186, 332, 725, 285, 64, 728, 1186, 999, 253, 3008, 2530, 25521, 453, 1454, 13344, 4551, 822, 1625, 800, 4471, 345, 953, 988, 4518, 1533, 255, 20443, 267, 8633, 1136, 356, 6695, 53, 823, 13049, 364, 7870, 19032, 38, 356, 84, 42, 72, 38, 823, 332, 6232, 1454, 4111, 356, 48, 13394, 10, 2930, 1294, 5644, 1223, 341, 1454, 14077, 5460, 4496, 1625, 345, 14077, 1697, 255, 21514, 10554, 255, 367, 4773, 3286, 255, 20464, 1265, 255, 332, 3678, 1135, 314, 465, 2136, 255, 1229, 929, 3077, 289, 15260, 1119, 285, 14892, 1454, 14077, 2162, 255, 264, 313, 2261, 285, 5418, 289, 1650, 253, 10202, 4845, 276, 253, 1454, 14077, 2530, 314, 340, 599, 38, 3640, 8607, 289, 253, 15893, 272, 748, 1398, 21296, 8415, 186, 10608, 253, 905, 1737, 1190, 345, 1454, 14077, 276, 253, 2121, 64, 1489, 1233, 313, 253, 5819, 15102, 13178, 6498, 260, 323, 5530, 1356, 356, 5106, 3640, 406, 20464, 433, 253, 23252, 2517, 566, 17188, 9774, 270, 465, 480, 1190, 255, 4954, 1075, 448, 248, 2031, 1608, 272, 3504, 248, 3931, 14077, 285, 25217, 16780, 724, 12735, 7950, 285, 650, 272, 871, 2424, 414, 623, 341, 916, 2798, 4874, 26262, 25217, 323, 20573, 3845, 2658, 2163, 64, 22, 255, 332, 650, 341, 916, 10631, 248, 25217, 323, 20573, 22170, 356, 95, 23, 11459, 272, 25217, 323, 3315, 406, 1229, 1464, 375, 596, 11296, 604, 3425, 2658, 2163, 64, 22, 270, 4766, 253, 1404, 891, 13882, 25217, 323, 255, 1626, 1186, 14633, 248, 25217, 323, 14077, 255, 12889, 285, 914, 64, 20, 1186, 999, 253, 1404, 276, 253, 1447, 1214, 270, 465, 248, 1805, 5196, 335, 253, 1190, 255, 623, 272, 253, 3498, 6485, 811, 335, 6586, 6497, 1158, 476, 5143, 341, 11540, 2798, 13751, 6497, 21252, 3845, 255, 332, 480, 1190, 953, 28095, 341, 480, 6813, 543, 10985, 289, 672, 476, 11516, 285, 253, 4845, 276, 288, 2884, 260, 323, 289, 612, 1454, 13344, 2930, 9993, 255, 344, 599, 38, 3640, 1190, 806, 14400, 271, 6586, 272, 3181, 6813, 289, 470, 922, 253, 14077, 1251, 2672, 270, 340, 1190, 652, 7359, 4263, 562, 285, 650, 272, 253, 16398, 3080, 272, 14077, 1778, 414, 20285, 8415, 314, 2631, 248, 10100, 272, 1251, 255, 7014, 5553, 8415, 313, 6507, 596, 5673, 7869, 363, 2379, 335, 253, 905, 1354, 1454, 13344, 356, 70, 2263, 1353, 2884, 260, 323, 823, 772, 2483, 313, 1724, 697, 800, 1114, 3378, 6899, 270, 859, 360, 2539, 461, 6241, 255, 7014, 5553, 8415, 356, 48, 3238, 406, 262, 248, 1135, 272, 1454, 749, 29779, 1208, 341, 4704, 300, 14254, 1568, 1537, 253, 4529, 746, 285, 253, 6497, 21252, 1454, 276, 9907, 2958, 5558, 806, 720, 255, 1229, 253, 3940, 272, 28619, 11891, 270, 3206, 3498, 359, 31597, 697, 800, 1773, 255, 264, 313, 461, 1655, 800, 29882, 270, 1065, 409, 1636, 596, 697, 748, 3238, 276, 5530, 1356, 5179, 86, 1781, 554, 6663, 1833, 1868, 314, 340, 17956, 858, 289, 4944, 307, 272, 16437, 473, 29450, 186, 17260, 473, 29450, 356, 344, 9258, 530, 865, 13996, 406, 3028, 965, 5702, 276, 64, 6870, 17, 289, 2569, 271, 285, 1299, 12230, 7436, 289, 9347, 10107, 270, 2148, 64, 6870, 23, 255, 1229, 253, 1480, 272, 248, 11081, 4169, 255, 344, 2682, 543, 276, 1354, 693, 433, 22962, 285, 1299, 3931, 12230, 7436, 270, 20842, 6179, 289, 6497, 1158, 4562, 271, 366, 12693, 1079, 276, 253, 6586, 1387, 255, 13559, 2344, 1778, 11109, 314, 465, 64, 3282, 22, 255, 66, 1740, 521, 11721, 15776, 2511, 253, 965, 10505, 2588, 694, 263, 603, 17768, 335, 253, 6376, 255, 822, 543, 1232, 10272, 335, 693, 366, 3104, 473, 29450, 270, 673, 17238, 1197, 2658, 64, 2586, 24, 255, 2691, 255, 1554, 253, 16004, 9856, 253, 965, 3104, 473, 29450, 10505, 2588, 694, 263, 335, 253, 2147, 1972, 270, 17260, 473, 29450, 10505, 2588, 694, 626, 10970, 705, 2379, 12938, 253, 16960, 10148, 543, 705, 5737, 25670, 396, 4183, 253, 2496, 12438, 335, 6393, 8909, 453, 248, 3931, 14077, 270, 2148, 253, 64, 1605, 17, 84, 255, 10616, 14077, 2081, 724, 18264, 285, 4537, 650, 448, 632, 1915, 335, 556, 3426, 314, 465, 64, 993, 23, 255, 344, 5317, 272, 248, 933, 366, 248, 3931, 1454, 14077, 5023, 248, 7605, 2215, 253, 12866, 4845, 276, 4044, 272, 650, 272, 253, 905, 3786, 3104, 473, 29450, 10505, 2588, 694, 263, 18567, 414, 38, 5159, 28467, 270, 340, 4044, 272, 516, 5159, 28467, 925, 3132, 877, 64, 971, 21, 289, 64, 993, 23, 1019, 14597, 453, 1069, 1504, 285, 806, 1069, 7748, 270, 2056, 1831, 22284, 345, 253, 2569, 255, 46, 2123, 260, 2582, 23822, 84, 255, 344, 12241, 272, 253, 516, 5159, 28467, 255, 71, 4972, 929, 777, 285, 2336, 800, 7937, 270, 340, 3327, 6821, 9796, 289, 15046, 271, 8935, 697, 16292, 3743, 18419, 5513, 289, 1809, 285, 18225, 5831, 270, 3300, 253, 651, 332, 265, 21272, 255, 1534, 620, 838, 248, 1282, 285, 852, 4690, 289, 1319, 7812, 3104, 473, 29450, 10505, 2588, 694, 626, 314, 340, 516, 5159, 6499, 258, 3327, 12938, 480, 1833, 1694, 5183, 2541, 253, 19541, 777, 335, 2898, 6259, 276, 14077, 1251, 289, 8298, 270, 2927, 554, 5845, 341, 366, 892, 23608, 276, 253, 6226, 1233, 255, 10616, 14077, 2778, 558, 326, 2183, 15, 1, 56, 28949, 5386, 53, 2474, 255, 15477, 64, 1626, 255, 993, 23, 956, 340, 706, 2744, 270, 10929, 272, 18951, 709, 356, 3475, 5851, 406, 9121, 4975, 272, 9297, 289, 18951, 356, 47, 6700, 34, 406, 332, 253, 3695, 3862, 8626, 356, 6987, 39, 406, 30135, 8568, 15480, 369, 356, 11313, 48, 406, 21371, 17389, 1069, 23, 3659, 276, 1895, 8639, 285, 1360, 253, 1480, 272, 28053, 2309, 289, 3806, 3981, 11354, 289, 26601, 4764, 314, 600, 31067, 11130, 6700, 34, 255, 6987, 39, 5926, 14602, 25895, 14424, 313, 1015, 279, 2389, 15102, 30564, 608, 9359, 335, 12009, 263, 1923, 3818, 356, 38, 7683, 2020, 406, 9634, 395, 888, 341, 2241, 253, 1480, 272, 9228, 4668, 335, 3981, 21660, 289, 26601, 1841, 3667, 255, 292, 1020, 363, 335, 23619, 322, 751, 253, 2202, 272, 20667, 6411, 276, 2673, 289, 3095, 270, 600, 2057, 9332, 3074, 11435, 276, 2957, 1895, 335, 1841, 2344, 2309, 289, 3806, 30316, 289, 20667, 6411, 255, 247, 657, 285, 596, 4499, 9424, 253, 1773, 272, 1730, 23324, 991, 24203, 14716, 289, 779, 21660, 4764, 270, 15587, 272, 4697, 341, 1560, 326, 3163, 1540, 1175, 359, 461, 3562, 285, 578, 355, 12085, 3380, 341, 1959, 253, 5995, 289, 24203, 272, 3989, 3981, 24917, 289, 26601, 878, 11177, 186, 355, 8455, 2419, 253, 6686, 272, 30316, 341, 409, 326, 4651, 186, 355, 20142, 312, 375, 2362, 1208, 255, 1758, 30589, 289, 8165, 255, 475, 3981, 21660, 186, 355, 14034, 1208, 272, 17807, 3380, 255, 2809, 4297, 1202, 272, 9394, 289, 1716, 255, 332, 6705, 272, 15804, 186, 355, 12085, 3380, 341, 916, 2595, 253, 10233, 2292, 1661, 285, 1829, 17465, 1363, 248, 26601, 363, 1020, 363, 25295, 23619, 18172, 272, 19422, 3263, 877, 17465, 255, 332, 877, 17465, 289, 556, 17375, 186, 355, 2828, 535, 8320, 4668, 341, 2241, 1800, 276, 3981, 21660, 375, 26601, 2115, 289, 1295, 186, 15861, 1864, 1996, 939, 326, 6491, 28053, 289, 672, 326, 2621, 953, 5183, 15901, 255, 5183, 2411, 357, 3557, 2881, 332, 326, 14021, 366, 253, 7990, 289, 720, 6765, 26069, 4826, 13, 1637, 255, 19, 1233, 406, 999, 253, 516, 7683, 2020, 8639, 5357, 314, 8196, 78, 3026, 359, 2033, 5620, 64, 1058, 270, 4861, 1200, 253, 525, 587, 3366, 286, 9832, 20908, 335, 596, 1030, 314, 974, 596, 1030, 345, 516, 7683, 2020, 84, 255, 6212, 2429, 253, 613, 16806, 26053, 12513, 19287, 8690, 314, 3300, 64, 971, 26, 255, 47, 6700, 34, 620, 21266, 276, 289, 4919, 9228, 289, 28053, 11935, 285, 4090, 18292, 4111, 289, 2737, 253, 1114, 3378, 22955, 272, 9808, 270, 47, 6700, 34, 709, 6615, 1251, 255, 13943, 255, 332, 8450, 3602, 255, 31465, 253, 1763, 289, 6883, 408, 4377, 289, 8450, 12283, 255, 3980, 9041, 2440, 20231, 28614, 255, 3089, 23031, 16888, 341, 359, 1802, 751, 8560, 10735, 255, 25742, 289, 32519, 9855, 3239, 2283, 255, 2542, 15617, 1071, 9070, 255, 14597, 1454, 2413, 255, 22220, 892, 3178, 272, 1606, 255, 1920, 330, 751, 3037, 11270, 255, 332, 10440, 1454, 3426, 270, 1283, 1636, 596, 697, 613, 6700, 34, 709, 1869, 345, 8865, 2554, 255, 18527, 11625, 3343, 5024, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 355, 10082, 11393, 8019, 186, 15768, 3548, 6316, 186, 355, 55, 2313, 1405, 276, 525, 11535, 186, 355, 55, 2313, 1405, 276, 400, 1921, 186, 355, 55, 2313, 1405, 276, 20365, 15238, 186, 355, 5652, 323, 1644, 276, 525, 11535, 186, 355, 5652, 323, 1644, 276, 400, 1921, 186, 355, 5652, 323, 1644, 276, 20365, 15238, 186, 355, 56, 1106, 268, 486, 23353, 186, 355, 56, 1106, 268, 486, 16478, 186, 23289, 8487, 335, 186, 30577, 289, 400, 1921, 186, 355, 38, 291, 392, 282, 292, 2716, 276, 525, 11535, 186, 355, 45, 2622, 19882, 956, 2776, 486, 3605, 448, 1608, 879, 355, 38, 291, 392, 282, 292, 2716, 276, 400, 1921, 186, 355, 7691, 292, 2716, 276, 20365, 15238, 186, 355, 18161, 1028, 16373, 10051, 186, 355, 16156, 2149, 262, 276, 400, 1921, 186, 355, 44, 4221, 350, 400, 828, 186, 355, 26788, 462, 512, 11240, 186, 355, 36, 12534, 554, 18045, 356, 23639, 370, 865, 431, 15370, 1096, 680, 355, 2848, 2831, 554, 10051, 186, 355, 8149, 45, 55, 2735, 39, 3698, 276, 400, 1921, 186, 355, 39, 315, 14, 1038, 541, 422, 276, 20365, 15238, 186, 355, 32027, 3946, 579, 10825, 9813, 186, 355, 17089, 11373, 16, 27083, 2835, 525, 18860, 186, 355, 20646, 486, 5494, 3399, 448, 16639, 186, 355, 3197, 22743, 21893, 276, 525, 11535, 289, 400, 1921, 186, 1099, 285, 2064, 1566, 28084, 1099, 285, 2064, 1566, 28084, 1099, 285, 2064, 1566, 28084, 1099, 285, 2064, 1566, 28084, 1099, 285, 2064, 1566, 28084, 69, 11535, 289, 10737, 186, 355, 59, 3299, 4520, 276, 20365, 15238, 186, 355, 37, 16169, 5479, 6992, 186, 355, 15768, 3548, 27782, 186, 355, 40, 1582, 6694, 285, 486, 5494, 186, 355, 52, 368, 1478, 14344, 186, 16823, 1253, 486, 14822, 186, 355, 15768, 17064, 17354, 263, 393, 32516, 186, 355, 20891, 579, 10825, 22540, 1019, 15910, 5315, 186, 355, 1912, 5670, 276, 2411, 252, 744, 1565, 186, 355, 2968, 9191, 186, 1099, 313, 5358, 8089, 1807, 879, 18161, 8089, 1807, 313, 248, 1354, 1783, 272, 5707, 356, 20236, 13885, 4680, 406, 247, 4832, 3095, 255, 5482, 276, 10737, 314, 30577, 289, 10737, 476, 871, 16109, 973, 255, 332, 640, 1315, 248, 2692, 3251, 272, 1156, 2975, 276, 253, 1352, 270, 2080, 2028, 1295, 313, 285, 5247, 1704, 285, 4711, 4678, 7816, 289, 285, 12188, 253, 1352, 554, 1071, 289, 10283, 4200, 270, 8819, 10388, 1071, 255, 1764, 8491, 289, 4678, 2624, 359, 15817, 453, 253, 1352, 363, 9923, 270, 465, 2326, 255, 344, 8089, 652, 28920, 6565, 525, 289, 3036, 285, 1447, 1704, 2302, 363, 1020, 363, 253, 3039, 1943, 276, 253, 1352, 270, 673, 652, 7063, 248, 9258, 1747, 30820, 936, 80, 3661, 247, 696, 23335, 253, 2413, 272, 3117, 1704, 1514, 276, 253, 5242, 16287, 314, 10678, 289, 3824, 1807, 409, 1783, 18665, 2392, 272, 5313, 3820, 276, 253, 16109, 270, 600, 313, 17640, 20672, 2658, 697, 871, 298, 9195, 285, 1464, 27516, 272, 253, 3820, 272, 1213, 16109, 313, 929, 3056, 9167, 314, 8907, 255, 15400, 487, 285, 253, 16109, 2340, 2524, 326, 32536, 255, 332, 276, 905, 2162, 253, 1807, 313, 13373, 255, 822, 1633, 341, 806, 720, 596, 289, 596, 272, 253, 3820, 558, 3214, 9167, 270, 20388, 8089, 356, 17884, 406, 71, 16088, 558, 1672, 314, 3013, 582, 3095, 1012, 5358, 8089, 1807, 879, 465, 905, 2162, 253, 3354, 1783, 272, 253, 1807, 313, 7012, 270, 52, 3247, 3022, 453, 4442, 16109, 2340, 1223, 11204, 3820, 16627, 253, 2642, 8089, 3820, 289, 6677, 313, 1412, 2867, 1798, 314, 465, 783, 2162, 277, 3354, 5653, 409, 326, 1509, 255, 475, 1123, 414, 11587, 885, 9444, 8089, 1807, 356, 822, 313, 1412, 2867, 276, 28064, 10737, 823, 4954, 2573, 255, 7171, 893, 272, 253, 16109, 255, 20236, 6677, 356, 1458, 363, 1314, 8309, 336, 251, 20565, 8461, 406, 332, 3829, 2134, 314, 1099, 359, 253, 3966, 4751, 272, 5358, 8089, 1807, 879, 15343, 1412, 2650, 26267, 289, 2650, 9923, 2413, 359, 253, 965, 4751, 272, 5358, 8089, 1807, 270, 34, 716, 271, 3095, 2524, 16684, 556, 9923, 6576, 705, 253, 9923, 409, 1900, 30115, 255, 9275, 3763, 844, 1071, 270, 3278, 7409, 8985, 341, 556, 5494, 4224, 847, 472, 271, 289, 20794, 730, 9279, 270, 25497, 842, 15361, 255, 6339, 2392, 255, 9508, 264, 2385, 356, 16693, 7530, 823, 27266, 289, 248, 17481, 4786, 409, 326, 3694, 276, 596, 17139, 4442, 2162, 314, 919, 313, 253, 1807, 9226, 879, 340, 3966, 4751, 2282, 433, 3095, 366, 5358, 8089, 1807, 359, 461, 1661, 255, 822, 1633, 341, 640, 1109, 326, 3318, 433, 612, 4028, 255, 8911, 270, 600, 2434, 396, 7476, 285, 14892, 5358, 8089, 1807, 1215, 433, 21631, 253, 1889, 3694, 433, 253, 10717, 375, 433, 3966, 7262, 270, 340, 5653, 313, 2340, 1509, 433, 248, 4069, 272, 253, 2727, 554, 2183, 255, 344, 4471, 272, 248, 2333, 7262, 289, 1704, 289, 9923, 3642, 270, 14604, 3642, 558, 1223, 341, 253, 1943, 272, 2032, 4678, 2624, 696, 253, 16109, 939, 5247, 453, 253, 1704, 359, 8286, 1019, 6755, 253, 2173, 359, 2865, 1199, 991, 799, 253, 1807, 313, 9226, 270, 3440, 1889, 409, 1540, 8210, 24189, 356, 28698, 406, 30530, 276, 253, 1704, 255, 5183, 19205, 1943, 375, 27679, 6638, 270, 1294, 2063, 272, 1889, 276, 253, 1704, 409, 1412, 870, 285, 5043, 811, 2501, 4919, 253, 1807, 313, 433, 253, 720, 272, 5653, 270, 673, 313, 652, 1156, 285, 2806, 253, 9923, 5370, 255, 332, 396, 939, 652, 326, 19389, 285, 1900, 335, 1575, 4751, 272, 612, 4028, 942, 363, 5938, 375, 14925, 16, 21734, 314, 3440, 3642, 672, 326, 2555, 276, 783, 2162, 276, 1460, 285, 2774, 277, 3354, 5653, 299, 2263, 270, 12953, 2302, 4963, 356, 30124, 1807, 409, 943, 276, 991, 1704, 2302, 823, 2185, 74, 3536, 356, 57, 16536, 823, 490, 11809, 7262, 255, 5602, 4620, 397, 375, 25249, 1923, 5055, 314, 3429, 5358, 8089, 1807, 326, 4721, 879, 465, 783, 2162, 486, 24383, 672, 326, 1865, 285, 14892, 248, 1661, 1783, 335, 253, 8089, 1800, 255, 332, 861, 480, 313, 253, 1576, 255, 17628, 335, 480, 1783, 672, 326, 1575, 314, 465, 253, 5405, 272, 2162, 255, 2691, 255, 66, 1661, 1783, 313, 461, 1246, 289, 2374, 313, 10699, 448, 7737, 253, 6782, 8089, 1295, 289, 28813, 27289, 1392, 10382, 272, 253, 1807, 314, 2124, 3095, 9806, 777, 1778, 366, 4705, 289, 28199, 11725, 356, 66, 5912, 81, 406, 864, 10475, 858, 253, 2559, 270, 340, 905, 1156, 1114, 3378, 1650, 335, 3095, 366, 5358, 8089, 1807, 313, 11148, 2374, 270, 600, 8362, 285, 15946, 253, 16109, 272, 363, 1331, 867, 363, 1575, 255, 11642, 5815, 253, 1817, 4310, 272, 4678, 7816, 696, 253, 16109, 6576, 4701, 366, 255, 25448, 2576, 2452, 341, 253, 2727, 1804, 5152, 632, 272, 1055, 14269, 2216, 6578, 270, 340, 3203, 652, 620, 285, 326, 1199, 244, 12446, 255, 292, 3095, 366, 8089, 1800, 1412, 476, 248, 4112, 15361, 270, 34, 20983, 19074, 12438, 3203, 313, 253, 1763, 4072, 289, 255, 292, 536, 476, 2032, 902, 3003, 3620, 289, 13198, 2134, 1895, 255, 581, 409, 2340, 1140, 248, 3203, 341, 486, 5494, 17996, 270, 11634, 476, 2282, 341, 3095, 366, 13885, 1807, 341, 359, 11016, 914, 345, 12438, 14522, 3369, 3270, 3056, 730, 3095, 11016, 345, 2642, 1454, 314, 21085, 453, 11148, 2374, 255, 3795, 1607, 672, 652, 326, 1687, 270, 16560, 6012, 255, 1758, 3909, 696, 409, 2022, 8089, 1295, 255, 303, 7212, 858, 1704, 2302, 255, 18444, 19205, 375, 1959, 14660, 1704, 1943, 255, 28742, 27679, 6638, 375, 2587, 21285, 289, 17155, 255, 505, 1895, 270, 340, 1697, 272, 4705, 696, 359, 3163, 558, 3586, 1199, 1331, 345, 253, 1430, 1576, 255, 332, 861, 536, 1979, 341, 942, 6012, 359, 6907, 255, 581, 558, 1911, 366, 360, 696, 6684, 359, 905, 3163, 335, 486, 5494, 314, 10333, 1796, 2374, 272, 5358, 8089, 1807, 2340, 3435, 300, 8543, 2742, 515, 433, 253, 24383, 448, 3152, 10229, 270, 18379, 14766, 942, 363, 1704, 16, 334, 473, 3642, 375, 1704, 2302, 4963, 359, 652, 2216, 285, 2230, 811, 6608, 253, 3806, 313, 289, 2572, 253, 2374, 2129, 285, 326, 5205, 314, 4126, 5494, 620, 5358, 8089, 1807, 1019, 2752, 313, 253, 25541, 879, 34, 1737, 7405, 272, 253, 8089, 3820, 620, 2340, 13137, 9167, 1485, 253, 1807, 313, 9226, 1019, 445, 8238, 480, 2982, 2524, 326, 32536, 270, 12321, 313, 10699, 448, 7045, 253, 4751, 272, 1807, 289, 14355, 253, 2260, 272, 1372, 272, 4442, 12965, 255, 332, 448, 253, 1112, 720, 28813, 27289, 1392, 253, 10382, 272, 253, 2559, 270, 7571, 755, 3957, 255, 344, 8089, 1295, 558, 2340, 7908, 1012, 8247, 270, 1452, 255, 344, 2087, 272, 10382, 10432, 14717, 877, 1430, 3095, 289, 276, 783, 2162, 536, 359, 1865, 285, 2626, 248, 1415, 2260, 272, 1372, 335, 4442, 2786, 335, 248, 10222, 720, 314, 37, 430, 1438, 1778, 289, 8089, 19675, 1019, 344, 6012, 272, 4072, 276, 3857, 366, 4919, 8089, 1807, 1019, 505, 461, 1895, 335, 10737, 289, 7077, 276, 253, 7088, 448, 253, 4306, 314, 859, 360, 476, 818, 14386, 375, 6008, 5311, 486, 5494, 289, 8089, 1807, 255, 6212, 582, 461, 29520, 285, 2893, 471, 15, 1, 5466, 9595, 610, 18, 47, 18, 15640, 7065, 6398, 186, 673, 4224, 844, 5212, 620, 838, 7811, 697, 610, 18, 47, 18, 356, 1492, 473, 2105, 406, 344, 2121, 8055, 272, 3385, 270, 859, 360, 476, 1404, 276, 1603, 255, 1660, 360, 359, 4379, 1199, 3677, 272, 811, 3904, 253, 4879, 313, 15154, 270, 27595, 359, 253, 4425, 1632, 335, 248, 4879, 285, 3465, 270, 1283, 870, 1290, 2096, 255, 581, 2966, 248, 5465, 4630, 10013, 1222, 272, 248, 991, 1603, 341, 15520, 253, 610, 18, 47, 18, 4879, 270, 1065, 409, 4562, 366, 15013, 289, 797, 27506, 448, 2137, 802, 81, 22408, 285, 3560, 253, 3465, 272, 253, 2105, 314, 340, 5465, 4630, 10013, 1222, 313, 1625, 345, 253, 18873, 5782, 22801, 265, 1222, 341, 19436, 74, 6179, 693, 285, 1222, 253, 3552, 272, 277, 19298, 270, 8423, 5782, 2837, 8591, 253, 2530, 721, 591, 24840, 414, 52, 398, 946, 872, 255, 1579, 9132, 255, 10168, 1421, 289, 5666, 3023, 270, 1294, 1472, 738, 2079, 762, 1306, 4454, 13830, 31333, 721, 17585, 1363, 253, 5465, 4630, 10013, 1222, 1224, 536, 409, 8985, 253, 7616, 272, 253, 15154, 4879, 314, 2447, 3504, 253, 1222, 536, 8612, 285, 4378, 783, 3671, 341, 4225, 359, 22965, 285, 3560, 253, 4879, 1306, 1201, 1269, 270, 959, 7650, 285, 812, 861, 253, 797, 27506, 448, 2137, 5032, 2446, 360, 359, 8740, 406, 28479, 916, 326, 2379, 276, 253, 1576, 1224, 11708, 359, 461, 1895, 3722, 2512, 5591, 822, 363, 272, 10740, 64, 971, 26, 313, 253, 1576, 1436, 6187, 248, 1900, 578, 5341, 253, 1472, 3608, 3346, 1306, 11709, 345, 253, 2137, 4772, 1861, 289, 2415, 783, 902, 9641, 270, 3197, 2452, 285, 5473, 253, 1472, 919, 1147, 480, 7201, 867, 32, 1306, 11709, 335, 248, 15601, 9871, 272, 253, 1222, 4272, 253, 7201, 314, 1130, 360, 4562, 366, 253, 7201, 255, 9108, 253, 1387, 578, 355, 919, 1147, 10016, 797, 1186, 87, 2313, 4226, 802, 19378, 253, 966, 272, 8740, 1172, 879, 355, 919, 1021, 2449, 582, 7669, 1172, 777, 285, 4458, 2137, 285, 476, 248, 1737, 1869, 345, 253, 3465, 272, 253, 4879, 1363, 253, 1603, 879, 355, 1099, 1869, 1147, 253, 797, 1186, 19378, 4436, 272, 7462, 802, 3980, 345, 253, 2105, 12215, 879, 355, 1099, 4069, 272, 4658, 1528, 276, 253, 10061, 966, 272, 8740, 1172, 911, 4854, 755, 4658, 12835, 276, 248, 1618, 13259, 4712, 879, 4727, 414, 3500, 720, 360, 5686, 276, 4679, 289, 1805, 2006, 255, 66, 892, 6875, 558, 326, 3753, 285, 253, 2854, 705, 360, 409, 6621, 253, 6899, 272, 253, 902, 4658, 270, 36, 790, 756, 345, 253, 5280, 16167, 6543, 558, 2132, 253, 2854, 289, 16167, 632, 22484, 8847, 285, 556, 7133, 1461, 314, 859, 360, 2128, 480, 2343, 1222, 313, 3059, 255, 17339, 2072, 285, 3412, 396, 375, 8718, 396, 345, 486, 1395, 4259, 649, 2401, 5473, 253, 7554, 13387, 276, 253, 2336, 1250, 9662, 270, 859, 360, 1599, 285, 1961, 8432, 721, 253, 5465, 4630, 10013, 1222, 360, 409, 5610, 253, 1222, 433, 13919, 1868, 270, 1065, 409, 1994, 253, 1222, 366, 5465, 4630, 10013, 64, 26, 15, 18, 255, 263, 253, 2072, 313, 1481, 2535, 6978, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1132, 313, 4379, 929, 612, 3479, 276, 253, 1280, 341, 17866, 641, 13674, 363, 461, 914, 248, 13355, 1175, 248, 6450, 657, 272, 3821, 1372, 1019, 344, 5902, 945, 582, 4742, 341, 270, 4206, 8609, 255, 23969, 11848, 255, 292, 640, 359, 5542, 345, 556, 5317, 554, 22074, 255, 505, 9064, 285, 1700, 1255, 657, 272, 556, 1352, 799, 640, 6761, 248, 7406, 375, 12210, 7231, 270, 4766, 2077, 255, 21596, 13674, 313, 785, 276, 9382, 515, 255, 71, 408, 21830, 289, 976, 8491, 270, 1507, 5902, 13674, 652, 16463, 1701, 3880, 255, 9485, 255, 24893, 945, 867, 255, 78, 977, 255, 14460, 23195, 289, 1350, 837, 3213, 332, 3267, 272, 253, 2672, 314, 21596, 13674, 7095, 6842, 285, 253, 13674, 272, 6942, 4538, 2101, 6687, 5526, 270, 1452, 255, 5171, 534, 253, 5902, 5842, 917, 359, 1021, 4559, 3641, 276, 253, 4381, 289, 3390, 272, 253, 30716, 270, 30222, 313, 248, 16315, 1464, 1915, 253, 2091, 272, 253, 2886, 2900, 270, 1130, 3004, 363, 396, 313, 255, 1229, 973, 3182, 1363, 5526, 2507, 800, 1395, 2183, 255, 15319, 255, 84, 22184, 289, 3443, 255, 1449, 1349, 1804, 499, 517, 433, 9172, 10403, 272, 556, 3182, 366, 929, 3555, 3479, 30716, 270, 2281, 30716, 1349, 18548, 366, 253, 6942, 30683, 5902, 4381, 9391, 289, 538, 417, 86, 20943, 272, 13793, 314, 21596, 284, 1795, 359, 32615, 366, 3719, 2045, 1285, 657, 272, 253, 2274, 270, 1132, 359, 17164, 929, 11060, 877, 284, 24437, 289, 253, 345, 9477, 391, 270, 37, 5201, 276, 5526, 313, 10205, 270, 673, 8197, 345, 253, 2672, 596, 730, 253, 1430, 375, 21590, 270, 673, 543, 2621, 1671, 7014, 285, 2718, 8055, 13674, 276, 1021, 3828, 5902, 10644, 270, 4206, 18672, 1894, 30716, 313, 461, 1354, 2439, 270, 1132, 359, 18083, 335, 2384, 7230, 314, 21596, 13674, 21203, 253, 2049, 272, 2620, 83, 9971, 363, 1020, 363, 2468, 1352, 1855, 1209, 270, 600, 8291, 4753, 396, 7425, 453, 612, 13674, 12385, 276, 253, 1280, 270, 12921, 83, 9971, 313, 248, 13674, 4340, 13791, 253, 284, 17499, 554, 1352, 313, 6982, 271, 721, 4784, 1964, 272, 3390, 366, 973, 1666, 1285, 1865, 285, 1700, 285, 902, 26379, 1363, 253, 4381, 270, 1294, 7162, 359, 1747, 797, 14206, 515, 802, 247, 438, 413, 4773, 2377, 289, 359, 3958, 2037, 289, 2261, 285, 6514, 314, 10152, 1964, 272, 5526, 476, 1199, 902, 284, 1795, 270, 340, 28239, 4266, 359, 1724, 335, 456, 14214, 991, 276, 253, 1874, 270, 340, 28963, 378, 740, 16590, 13749, 21242, 270, 465, 4740, 4794, 255, 1449, 693, 2352, 19299, 1019, 250, 3509, 6476, 272, 253, 11610, 4163, 289, 4905, 9197, 549, 270, 340, 19429, 260, 272, 28069, 5070, 693, 556, 4020, 289, 4465, 276, 1661, 6476, 270, 465, 632, 2162, 255, 21596, 6476, 359, 5806, 289, 1349, 326, 2598, 5271, 315, 270, 6426, 253, 1233, 255, 26245, 602, 17728, 16588, 270, 340, 284, 1795, 272, 28202, 359, 1804, 253, 284, 1795, 272, 2847, 270, 37, 1795, 359, 1412, 4633, 2255, 483, 433, 6524, 255, 250, 247, 17114, 6524, 7715, 276, 1404, 255, 263, 253, 9815, 453, 8560, 285, 19773, 255, 12777, 1244, 255, 487, 255, 1201, 26138, 18634, 289, 4469, 270, 3278, 284, 1795, 359, 3760, 433, 914, 9746, 375, 9714, 255, 15450, 2352, 8837, 697, 904, 1285, 5584, 375, 5396, 5493, 270, 15240, 10866, 272, 2632, 4032, 646, 7321, 3385, 16970, 276, 1089, 77, 2188, 335, 556, 6226, 272, 2163, 13355, 270, 35, 12069, 1223, 1042, 556, 3870, 276, 22778, 284, 1795, 289, 409, 326, 27757, 335, 556, 2333, 22684, 314, 465, 5902, 13674, 255, 344, 19699, 313, 650, 1119, 285, 1031, 253, 9751, 289, 3971, 5212, 2307, 363, 248, 2672, 270, 465, 5526, 255, 4210, 2307, 276, 2669, 285, 248, 326, 751, 19699, 313, 248, 720, 285, 2286, 650, 1750, 248, 2699, 272, 16762, 289, 31470, 270, 673, 313, 248, 720, 285, 3622, 366, 650, 1750, 289, 326, 657, 272, 248, 10205, 13793, 272, 1372, 335, 253, 2816, 255, 954, 255, 7873, 289, 4256, 270, 17290, 313, 19128, 285, 5337, 285, 3457, 270, 600, 313, 799, 396, 313, 1199, 1156, 335, 6514, 284, 24437, 289, 19699, 8257, 285, 326, 6469, 1142, 276, 1524, 30716, 289, 19699, 3189, 4742, 363, 7228, 366, 929, 6734, 270, 1283, 326, 1865, 285, 1453, 87, 858, 276, 755, 1964, 255, 623, 620, 285, 326, 7508, 335, 11213, 755, 4382, 914, 433, 17843, 453, 253, 3719, 2045, 289, 253, 16018, 30744, 391, 314, 340, 905, 5673, 785, 12210, 7231, 276, 5526, 313, 253, 1391, 6612, 270, 4350, 6163, 359, 11861, 248, 2718, 1508, 289, 328, 485, 1090, 1066, 2622, 366, 20858, 359, 652, 785, 270, 2655, 5483, 255, 303, 302, 5519, 4020, 289, 23008, 632, 1879, 19233, 5769, 4381, 335, 5902, 13674, 270, 35, 26163, 289, 1404, 1636, 285, 1585, 5528, 341, 852, 248, 5982, 335, 2593, 26379, 270, 1130, 284, 24437, 1940, 9064, 255, 1449, 1636, 285, 17659, 8829, 289, 6727, 7477, 276, 28006, 366, 253, 13793, 289, 253, 4381, 270, 340, 2376, 289, 11416, 272, 5902, 13674, 313, 632, 276, 253, 13793, 289, 4381, 289, 359, 2195, 2621, 276, 16502, 544, 255, 623, 289, 253, 1112, 270, 2467, 359, 253, 3828, 6617, 356, 332, 4170, 406, 475, 13674, 785, 276, 4559, 2292, 414, 15090, 2676, 525, 1795, 255, 37, 1795, 272, 22695, 255, 51, 2716, 272, 15422, 487, 16, 1799, 268, 272, 11071, 525, 1795, 255, 37, 1795, 272, 452, 1342, 12932, 289, 8448, 2448, 268, 289, 525, 1795, 272, 655, 15360, 314, 340, 525, 1795, 272, 452, 1342, 12932, 289, 8448, 2448, 268, 532, 1246, 905, 4703, 270, 340, 3469, 262, 20569, 359, 253, 2918, 781, 1246, 276, 1021, 3080, 272, 5902, 8375, 270, 3500, 3469, 813, 66, 620, 556, 9780, 6395, 255, 17931, 255, 7861, 255, 10616, 84, 255, 9752, 3507, 255, 21609, 289, 284, 1795, 270, 340, 284, 1795, 558, 326, 785, 345, 2384, 20052, 285, 15746, 253, 3469, 813, 66, 375, 285, 6464, 870, 289, 7456, 270, 340, 3469, 813, 66, 1109, 326, 20514, 289, 777, 5486, 2015, 270, 44, 553, 307, 353, 1808, 313, 248, 1825, 5705, 272, 253, 4695, 891, 313, 2026, 2448, 271, 1018, 13674, 270, 1682, 3218, 276, 253, 831, 272, 248, 12324, 2220, 619, 1152, 1308, 453, 253, 4695, 642, 285, 253, 12387, 16018, 270, 1132, 313, 1331, 30716, 289, 23008, 270, 4284, 480, 720, 255, 344, 2220, 619, 313, 8286, 725, 255, 32143, 285, 248, 4648, 272, 64, 1204, 4020, 270, 3136, 253, 28709, 1260, 261, 289, 13461, 1028, 553, 307, 353, 1808, 861, 640, 558, 476, 1415, 13659, 806, 253, 6226, 1233, 289, 861, 917, 359, 818, 2028, 3269, 285, 326, 3677, 272, 255, 1458, 363, 15136, 255, 8296, 255, 2700, 270, 1294, 359, 1354, 10794, 289, 1199, 1156, 276, 1021, 3828, 5902, 20485, 270, 1245, 632, 3412, 650, 3376, 276, 1354, 414, 66, 1282, 285, 248, 5705, 270, 1294, 23301, 409, 326, 23301, 272, 24621, 255, 13916, 7339, 255, 1173, 8637, 626, 375, 2918, 781, 15, 5078, 3813, 272, 1372, 313, 1020, 3388, 433, 5902, 13674, 270, 859, 917, 3697, 543, 248, 16315, 5439, 276, 3479, 6297, 285, 1372, 433, 13674, 341, 916, 326, 5526, 270, 974, 253, 31644, 255, 1534, 313, 248, 13674, 341, 968, 5734, 632, 21506, 272, 1372, 2276, 7375, 255, 21596, 30716, 313, 1199, 11377, 285, 6061, 345, 3872, 270, 673, 313, 652, 2621, 248, 3786, 3159, 13674, 276, 4207, 270, 959, 476, 253, 1199, 14883, 2489, 12124, 416, 17907, 285, 13531, 335, 341, 270, 1345, 12124, 416, 17907, 543, 277, 5902, 2579, 438, 413, 24176, 289, 1177, 386, 891, 15207, 253, 2489, 12124, 416, 17907, 2579, 525, 559, 1547, 21303, 276, 2801, 5243, 8630, 270, 34, 17907, 313, 27423, 366, 3786, 2344, 3159, 13674, 289, 6300, 2344, 5902, 2579, 8459, 276, 64, 643, 380, 3227, 30807, 13674, 270, 34, 17907, 554, 438, 413, 4773, 6514, 17694, 1472, 3030, 535, 515, 1306, 262, 6943, 285, 326, 253, 1763, 1724, 289, 905, 1412, 2867, 3159, 13674, 3760, 270, 340, 2489, 12124, 416, 17907, 284, 24437, 582, 1315, 24075, 270, 859, 360, 3697, 476, 248, 5455, 285, 1200, 713, 1315, 255, 1129, 558, 461, 326, 1985, 1392, 270, 1245, 359, 2794, 670, 290, 2276, 859, 360, 476, 3697, 20237, 285, 6393, 891, 620, 375, 313, 3353, 5902, 13674, 5187, 255, 42, 2195, 5749, 640, 2222, 253, 1112, 3376, 270, 1245, 2222, 396, 313, 253, 905, 6021, 831, 272, 3649, 640, 476, 3697, 2598, 1262, 360, 693, 1255, 657, 272, 253, 1352, 270, 3737, 255, 344, 30716, 2778, 255, 4993, 326, 2261, 285, 1636, 1175, 3135, 360, 1012, 253, 15976, 272, 396, 255, 344, 10958, 272, 253, 3390, 289, 253, 5439, 4559, 5215, 1039, 396, 253, 13674, 272, 4072, 270, 1245, 632, 2222, 255, 21596, 30716, 313, 253, 1763, 272, 3649, 289, 13674, 5632, 1890, 1345, 1801, 1232, 255, 2752, 359, 360, 12387, 335, 879, 497, 5834, 7060, 1547, 18007, 578, 37, 559, 313, 335, 23393, 270, 42, 3896, 341, 253, 13674, 4641, 453, 253, 945, 289, 341, 396, 939, 2195, 326, 10148, 1329, 285, 253, 945, 27501, 1345, 12124, 416, 17907, 1, 638, 10597, 296, 10808, 439, 26214, 466, 4360, 64, 4868, 3177, 421, 3926, 295, 7929, 24247, 466, 10275, 5090, 2777, 23251, 283, 26774, 590, 296, 836, 1947, 28339, 684, 3462, 18127, 466, 10275, 590, 296, 836, 1947, 28339, 493, 421, 11726, 669, 9291, 64, 6706, 15, 14442, 6908, 5007, 520, 9220, 14471, 3447, 961, 609, 14700, 14300, 4390, 809, 6001, 30516, 19601, 702, 23251, 283, 26774, 590, 296, 836, 1947, 28339, 421, 11726, 669, 2190, 14471, 421, 24647, 466, 1883, 8685, 2777, 1051, 16814, 692, 11333, 7968, 2190, 1739, 869, 23251, 283, 26774, 590, 296, 836, 1947, 28339, 692, 11726, 295, 7929, 24247, 5983, 11138, 3279, 684, 3462, 18127, 466, 590, 296, 836, 1947, 28339, 493, 692, 11726, 7310, 9322, 3279, 1307, 1445, 439, 3567, 1739, 869, 23251, 283, 26774, 590, 296, 836, 1947, 28339, 684, 590, 296, 836, 1947, 28339, 421, 3926, 16113, 29003, 30993, 22203, 6418, 639, 3803, 6721, 18407, 742, 2098, 255, 12789, 18847, 3803, 25325, 1210, 255, 2480, 6275, 255, 13588, 23169, 590, 296, 836, 13527, 3803, 64, 11759, 1151, 4530, 4333, 26674, 13271, 3279, 498, 7666, 910, 609, 739, 30164, 1443, 590, 296, 836, 13527, 255, 7534, 1490, 7938, 3803, 27959, 1578, 29030, 421, 1037, 16720, 3803, 5030, 31526, 255, 1401, 17225, 735, 463, 440, 6324, 283, 255, 365, 506, 15042, 255, 3553, 1346, 8515, 255, 1367, 2666, 11609, 29010, 9383, 255, 801, 941, 14767, 9383, 255, 1117, 2534, 1160, 419, 4681, 3803, 9145, 15081, 419, 4681, 255, 10552, 8602, 8127, 6862, 540, 295, 14470, 2256, 255, 1367, 2666, 11609, 31532, 24865, 520, 9383, 255, 365, 30416, 9383, 255, 365, 763, 29003, 30993, 421, 1037, 372, 10597, 644, 493, 421, 7699, 4775, 4676, 18110, 669, 1695, 9220, 14471, 520, 2184, 961, 14639, 702, 17935, 3615, 609, 546, 7449, 32032, 684, 4676, 295, 638, 2320, 15755, 576, 2614, 4687, 30354, 503, 21763, 576, 20898, 421, 1037, 21674, 371, 2270, 17935, 3615, 609, 546, 17935, 609, 644, 2098, 255, 331, 14017, 609, 644, 2098, 3803, 17935, 3615, 609, 7797, 6594, 17225, 17003, 493, 466, 15775, 2262, 2187, 429, 439, 3389, 15114, 255, 1367, 9201, 801, 639, 21441, 576, 16171, 493, 421, 20898, 421, 1037, 17935, 20340, 466, 22203, 595, 503, 4676, 440, 24332, 4859, 7903, 3308, 280, 10308, 2262, 1851, 786, 401, 437, 14168, 15524, 3803, 9976, 1014, 5983, 6001, 702, 4316, 6437, 9801, 17832, 421, 3926, 2864, 3279, 21674, 371, 2270, 17935, 3615, 609, 546, 20898, 421, 1037, 5090, 2262, 1851, 18110, 421, 24647, 466, 1883, 8685, 2777, 1051, 16814, 692, 11333, 7968, 2190, 1695, 5235, 2454, 439, 3567, 1739, 869, 4342, 466, 498, 1948, 12960, 13, 4868, 2922, 576, 64, 2952, 14705, 255, 4868, 2941, 1931, 8017, 64, 8644, 1218, 3177, 8644, 21674, 371, 2270, 17935, 3615, 609, 546, 31110, 1443, 17935, 609, 644, 2098, 255, 331, 14017, 609, 644, 2098, 255, 442, 951, 975, 3474, 3207, 3803, 17935, 3615, 609, 7797, 6594, 17225, 17003, 493, 466, 8518, 20091, 742, 1307, 1445, 429, 439, 3389, 15114, 255, 26214, 17935, 9562, 13505, 3279, 4360, 64, 4868, 2922, 14, 14442, 3803, 64, 4868, 3177, 14, 11759, 466, 21674, 371, 2270, 17935, 3615, 609, 520, 32723, 421, 1037, 17935, 20340, 466, 22203, 595, 503, 4676, 440, 24332, 4859, 7903, 3308, 280, 6487, 421, 1037, 64, 26624, 5385, 5007, 520, 9220, 9932, 520, 2184, 429, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1401, 23846, 493, 546, 628, 1301, 4527, 8198, 956, 16186, 3310, 13610, 940, 2324, 280, 3551, 421, 20593, 64, 1651, 355, 1367, 5722, 9196, 5260, 17076, 807, 2647, 2182, 31736, 5244, 421, 4342, 5829, 24497, 7817, 956, 14751, 8777, 12362, 4342, 15239, 702, 1141, 232, 358, 64, 6486, 4590, 10418, 8777, 4868, 2345, 546, 6600, 10471, 7271, 64, 22996, 1151, 2922, 16, 4868, 2345, 421, 8401, 576, 31736, 5244, 421, 30382, 7310, 5646, 7264, 507, 2686, 5829, 4775, 28169, 2219, 365, 5362, 468, 2735, 12927, 12916, 2219, 6785, 5850, 2735, 12927, 10956, 2219, 24947, 6635, 8603, 15982, 2735, 12927, 10277, 8603, 15982, 2219, 12789, 2618, 1604, 30677, 421, 27870, 2735, 24947, 6635, 2219, 5516, 4315, 5786, 703, 2075, 1617, 5529, 493, 421, 4342, 5829, 4775, 7310, 2735, 7264, 507, 2686, 5829, 493, 546, 19747, 8198, 5283, 13619, 2494, 4632, 1163, 669, 2679, 1206, 466, 5283, 19747, 8198, 5436, 466, 940, 3618, 362, 2724, 15671, 2883, 998, 639, 956, 30397, 742, 5283, 13619, 2262, 8839, 786, 2219, 2670, 6930, 32717, 429, 869, 31736, 5244, 421, 21357, 16, 16918, 13332, 3590, 8198, 493, 546, 295, 358, 899, 6641, 385, 466, 1193, 496, 4527, 786, 4632, 365, 4194, 12314, 421, 1287, 669, 2679, 1206, 7271, 64, 25201, 2941, 16, 4868, 1382, 2660, 10471, 64, 12830, 11592, 8777, 4868, 1382, 466, 940, 14760, 2910, 576, 22961, 3551, 520, 9537, 2170, 869, 5244, 421, 7877, 2735, 16918, 13332, 2735, 15858, 20840, 2100, 20460, 669, 348, 508, 4540, 503, 10209, 440, 2410, 296, 447, 1786, 23445, 9263, 4136, 1669, 684, 2100, 14, 10708, 7324, 2366, 2256, 11812, 669, 19747, 2719, 702, 23965, 16729, 757, 13300, 20704, 3123, 7817, 684, 4342, 5829, 24497, 7817, 421, 21552, 1931, 1965, 437, 3310, 21524, 2494, 3785, 2075, 1181, 13292, 466, 14354, 2190, 1108, 7624, 421, 295, 3917, 3372, 546, 447, 1471, 520, 22961, 3551, 940, 23965, 4342, 5829, 24497, 7817, 702, 520, 684, 14760, 836, 17594, 266, 869, 3590, 295, 3917, 3372, 576, 5244, 4775, 2864, 520, 31651, 669, 2771, 639, 2821, 15363, 12504, 5421, 4632, 3755, 24747, 280, 24620, 2866, 280, 2320, 520, 1362, 24373, 546, 736, 21069, 7504, 1471, 520, 10774, 466, 64, 8866, 22855, 5400, 27786, 692, 14476, 24497, 7817, 702, 593, 1976, 2311, 24704, 493, 692, 628, 24256, 7820, 684, 1965, 507, 440, 1968, 8013, 7093, 1786, 809, 4915, 869, 7315, 14314, 576, 21357, 2735, 16918, 13332, 21545, 7110, 786, 2311, 2100, 20460, 669, 348, 508, 4540, 2219, 3118, 296, 1279, 21545, 10209, 440, 2410, 296, 1786, 23445, 786, 2219, 14187, 4966, 25352, 669, 940, 3590, 2075, 447, 5726, 283, 2977, 1210, 429, 4632, 14187, 4966, 25352, 421, 26302, 466, 1037, 2777, 13333, 520, 5235, 7968, 2190, 24497, 7817, 421, 17825, 11944, 283, 5099, 1948, 669, 2679, 1206, 466, 11085, 429, 869, 9451, 8777, 11982, 5217, 2219, 16316, 31901, 4775, 8603, 17870, 31901, 13610, 3279, 16809, 30993, 520, 766, 4966, 25352, 13610, 421, 5829, 421, 8180, 576, 1786, 11609, 2262, 8696, 2016, 2219, 3055, 3770, 4063, 31080, 5817, 21552, 1193, 1786, 809, 4915, 4632, 923, 5908, 9451, 5829, 2219, 11982, 5829, 21545, 4242, 27273, 421, 21552, 1786, 11495, 2262, 3439, 786, 4632, 9206, 13483, 4603, 16160, 21770, 766, 4966, 2256, 1786, 463, 2244, 27269, 1669, 2720, 9451, 5829, 4775, 14373, 5817, 21552, 21421, 3625, 429, 4632, 31776, 6651, 337, 421, 2910, 466, 21770, 546, 5817, 1287, 3464, 6121, 22882, 520, 348, 3890, 5710, 940, 10709, 669, 2679, 1206, 466, 2454, 9537, 429, 9263, 13956, 940, 28532, 376, 8573, 13610, 421, 21290, 421, 2100, 9576, 14, 358, 1014, 923, 6220, 786, 4632, 10708, 13610, 546, 3467, 6275, 508, 26915, 576, 21754, 2734, 7754, 2219, 9092, 5751, 964, 742, 9761, 684, 2209, 3770, 13850, 1680, 5047, 836, 9761, 520, 19000, 940, 13610, 421, 16729, 757, 12390, 4676, 22855, 493, 2219, 3471, 1210, 8573, 7938, 520, 4848, 429, 4632, 19846, 10471, 7271, 64, 22996, 1151, 2922, 16, 4868, 2345, 466, 23965, 4342, 5829, 24497, 7817, 3279, 5283, 1695, 1051, 8198, 869, 766, 4966, 25352, 466, 8178, 9451, 5829, 2219, 11982, 5829, 21545, 4242, 27273, 692, 21552, 9811, 2262, 3625, 429, 956, 1367, 638, 22311, 742, 1471, 7901, 429, 4632, 331, 8928, 498, 638, 22311, 742, 1471, 7901, 11347, 331, 8133, 1695, 31463, 639, 5217, 13574, 7693, 297, 447, 10850, 10433, 14, 5516, 4132, 593, 2219, 506, 27339, 355, 3553, 998, 593, 5283, 1307, 1445, 8198, 429, 1669, 18560, 15545, 22533, 468, 956, 26330, 7589, 1486, 421, 348, 419, 18515, 546, 22533, 1371, 2219, 4622, 14218, 546, 4686, 2094, 25836, 1371, 7901, 12465, 429, 4632, 15160, 6545, 22683, 2841, 31635, 757, 421, 32539, 669, 12490, 31736, 5244, 421, 766, 4966, 25352, 466, 6581, 31635, 757, 421, 1287, 21552, 503, 31411, 520, 21649, 13426, 692, 447, 8106, 22533, 468, 429, 16889, 17976, 64, 16812, 13006, 546, 1287, 14503, 31635, 757, 464, 557, 15282, 21605, 520, 29741, 522, 22674, 669, 23965, 421, 6657, 2094, 2455, 266, 13300, 20704, 3123, 7817, 702, 14760, 358, 1243, 1739, 1561, 869, 1695, 464, 557, 15282, 2504, 1287, 2494, 28608, 295, 5268, 951, 506, 576, 24497, 546, 12916, 692, 4603, 17081, 1371, 546, 1739, 4632, 998, 3332, 24497, 7817, 1695, 17594, 1002, 17288, 786, 869, 464, 557, 15282, 2504, 702, 4244, 2819, 4135, 15286, 466, 5930, 546, 27028, 1307, 1561, 684, 6073, 464, 557, 15282, 2504, 546, 5817, 29678, 2609, 26724, 956, 1401, 23846, 25188, 786, 4632, 28585, 1368, 6331, 6581, 31635, 757, 520, 9711, 801, 2270, 546, 6845, 16708, 684, 6331, 14503, 31635, 757, 692, 1550, 3316, 13300, 20704, 3123, 7817, 702, 64, 22638, 1382, 466, 31736, 5244, 692, 22664, 1307, 8777, 11275, 21552, 956, 506, 14514, 520, 21649, 13426, 576, 669, 371, 2606, 15814, 22974, 26123, 466, 1307, 2262, 2187, 429, 11631, 7786, 30245, 358, 11683, 1471, 421, 31768, 293, 13150, 31736, 5244, 19210, 421, 9100, 539, 3948, 466, 2100, 3590, 27156, 493, 546, 618, 699, 763, 10799, 297, 13541, 447, 7856, 331, 9711, 801, 2270, 421, 2771, 2679, 910, 331, 684, 8271, 19565, 466, 1669, 1193, 1786, 9607, 429, 1695, 9596, 12195, 8515, 466, 17599, 2805, 836, 429, 4632, 14639, 22664, 421, 31768, 293, 13610, 421, 5400, 27786, 546, 5283, 669, 2679, 1206, 466, 766, 4966, 25352, 466, 6581, 31635, 757, 14, 506, 557, 15282, 21605, 421, 21552, 520, 21649, 13426, 692, 31411, 22845, 9328, 1043, 1445, 11631, 2678, 19210, 421, 7904, 296, 684, 8928, 14587, 1389, 15190, 557, 421, 975, 6769, 466, 9569, 7754, 2824, 9271, 29529, 2719, 421, 1037, 1193, 14217, 31736, 7512, 3372, 520, 19565, 546, 5817, 15227, 4289, 1279, 6581, 31635, 757, 421, 32539, 520, 11652, 644, 3316, 31736, 5244, 421, 19937, 466, 11061, 20678, 5038, 10746, 421, 1037, 1051, 9544, 365, 9203, 4590, 337, 295, 31538, 429, 4632, 1163, 8198, 421, 343, 4709, 8475, 466, 6581, 31635, 757, 546, 5817, 7877, 4289, 557, 2824, 23965, 19884, 493, 13300, 20704, 3123, 7817, 546, 8290, 17003, 742, 8013, 5817, 31228, 7361, 1680, 296, 29307, 14760, 3564, 4184, 9263, 998, 8964, 8777, 8453, 669, 2679, 1206, 466, 3462, 7310, 2735, 7264, 507, 2686, 5829, 493, 2219, 7264, 964, 21006, 493, 576, 1695, 940, 22961, 3551, 520, 9537, 869, 3558, 2100, 24704, 466, 4491, 26962, 26915, 576, 2618, 447, 2614, 6252, 4632, 14767, 25703, 493, 692, 15524, 447, 1471, 10746, 2219, 9092, 5751, 5393, 807, 331, 836, 1471, 10746, 520, 11489, 940, 16839, 8981, 31254, 546, 1739, 1445, 429, 15375, 2209, 3553, 9711, 593, 22534, 520, 2262, 8696, 4632, 5026, 8198, 493, 692, 15524, 1193, 593, 11495, 4039, 669, 7310, 2735, 7264, 507, 2686, 5829, 546, 1287, 27053, 25914, 4039, 520, 26131, 940, 2454, 429, 4632, 27582, 466, 2100, 1108, 669, 2679, 1206, 466, 7310, 1845, 17765, 17870, 8180, 520, 13610, 520, 5305, 3207, 466, 1108, 669, 2679, 1206, 546, 17293, 1279, 5872, 11495, 4039, 546, 940, 8198, 742, 1307, 1445, 14699, 869, 2464, 576, 2464, 2719, 1931, 3590, 8198, 493, 520, 5235, 766, 4632, 14767, 25703, 5283, 10850, 3462, 546, 6096, 940, 766, 2777, 2219, 5516, 9218, 6600, 493, 520, 5605, 293, 245, 234, 1486, 466, 940, 25649, 8407, 2219, 4347, 8981, 15460, 9238, 7678, 2614, 546, 429, 5496, 31736, 5244, 421, 4491, 26962, 7753, 25928, 421, 19747, 2089, 1155, 2805, 7200, 669, 869, 2295, 742, 7037, 1193, 28563, 429, 4632, 15623, 503, 4031, 25216, 1008, 14, 638, 437, 3474, 493, 520, 766, 4966, 25352, 7023, 940, 23965, 14325, 421, 8198, 493, 546, 4686, 411, 1531, 27095, 2297, 429, 684, 1695, 295, 31538, 22107, 296, 520, 2224, 3553, 16773, 466, 766, 2187, 429, 6331, 2075, 10268, 8767, 1878, 782, 16910, 4184, 4632, 2841, 1051, 766, 4966, 2256, 3375, 447, 3375, 26742, 7877, 421, 739, 4117, 522, 702, 5345, 29288, 1926, 9092, 2444, 2073, 576, 1287, 1786, 5193, 429, 1695, 10767, 384, 17724, 429, 16889, 4136, 1669, 684, 19121, 23965, 12314, 421, 7068, 994, 6583, 19747, 590, 25739, 1486, 466, 17695, 64, 4868, 1382, 355, 31772, 522, 64, 4868, 2583, 692, 13300, 20704, 3123, 956, 3118, 296, 1279, 7023, 940, 6637, 3383, 506, 4920, 1287, 3287, 429, 16889, 1, 3921, 4455, 2651, 22148, 669, 2311, 1772, 4455, 2651, 7912, 503, 22148, 520, 21118, 337, 20802, 520, 15390, 421, 9795, 1772, 4455, 2651, 22148, 669, 8189, 365, 2295, 415, 18190, 8873, 337, 508, 2131, 19437, 3279, 31532, 24865, 12660, 10852, 421, 1037, 2311, 22165, 975, 4885, 520, 2184, 2170, 10448, 1772, 4455, 2651, 7912, 466, 5194, 5269, 1617, 2594, 4415, 1561, 15743, 4017, 1772, 4455, 2651, 7912, 421, 2719, 702, 1772, 4455, 2651, 22148, 669, 17590, 856, 940, 1976, 1561, 439, 1163, 4820, 466, 8891, 14989, 28566, 18133, 2504, 702, 7912, 421, 2719, 546, 20533, 22534, 1471, 4820, 503, 8881, 3532, 22882, 421, 4820, 466, 4775, 32489, 9131, 576, 15723, 1471, 421, 4820, 466, 2311, 15923, 503, 31396, 1976, 1561, 2209, 669, 1772, 4455, 2651, 7912, 421, 2883, 506, 2663, 26580, 702, 3168, 29288, 10780, 2734, 2190, 1051, 30845, 9997, 8891, 14989, 28566, 18133, 2504, 546, 2454, 2170, 439, 9109, 4823, 1108, 4820, 466, 5863, 8100, 5680, 1471, 421, 1037, 10340, 7522, 15290, 546, 5863, 8177, 305, 2159, 2170, 961, 9109, 4316, 10340, 7522, 593, 331, 644, 466, 8189, 365, 2295, 415, 18190, 8873, 337, 508, 2131, 19437, 421, 6933, 1181, 11699, 498, 2284, 3842, 2435, 17693, 255, 3243, 6338, 5181, 21604, 4098, 2117, 20677, 255, 11281, 13380, 421, 8012, 899, 362, 2059, 3999, 503, 2866, 16345, 1578, 28545, 12869, 255, 874, 3243, 4334, 7753, 1968, 4775, 1772, 4455, 2651, 7912, 421, 2883, 506, 2663, 26580, 520, 29177, 466, 8189, 365, 2295, 415, 18190, 8873, 337, 508, 2131, 421, 9131, 702, 5817, 29430, 1968, 13518, 30845, 2910, 466, 1772, 4455, 2651, 5561, 4814, 669, 1772, 4455, 2651, 7912, 421, 2719, 546, 18820, 1002, 2190, 1739, 869, 14179, 1543, 4763, 3279, 2311, 31532, 24865, 12660, 1772, 4455, 2651, 5561, 4814, 669, 24109, 10852, 421, 1037, 2618, 27215, 1307, 1445, 503, 22165, 975, 4885, 520, 2184, 2170, 2720, 1772, 4455, 2651, 7912, 520, 15390, 421, 9795, 520, 2184, 2170, 439, 884, 14199, 466, 1772, 4455, 2651, 5561, 4814, 669, 31532, 24865, 12660, 1772, 4455, 2651, 7912, 503, 9322, 421, 11061, 576, 1772, 4455, 2651, 5561, 4814, 669, 9811, 19059, 439, 3172, 8113, 1108, 2618, 576, 1772, 4455, 2651, 7912, 520, 9773, 14218, 546, 2311, 4686, 2094, 14585, 429, 6566, 1037, 1772, 4455, 2651, 7912, 576, 31643, 576, 362, 4681, 6597, 1002, 786, 684, 15110, 466, 3184, 30271, 1193, 5635, 961, 1163, 362, 4681, 3464, 280, 546, 11601, 2190, 1772, 4455, 2651, 7912, 466, 2311, 5269, 1617, 2594, 4415, 3487, 1561, 2720, 15454, 766, 1445, 429, 439, 358, 4000, 3375, 7624, 692, 3184, 1727, 2710, 266, 447, 2187, 429, 1108, 9237, 669, 464, 1160, 9196, 419, 1772, 4455, 2651, 503, 7614, 9833, 7912, 421, 6990, 21922, 884, 507, 440, 7055, 23524, 702, 7912, 421, 2719, 576, 17812, 520, 429, 869, 7912, 421, 1907, 1108, 4820, 466, 739, 21632, 297, 10308, 16766, 961, 1163, 9237, 669, 4242, 2910, 576, 464, 1160, 9196, 419, 1772, 4455, 2651, 255, 17251, 884, 507, 440, 7055, 23524, 255, 337, 7464, 2609, 16121, 20300, 255, 1367, 609, 3083, 669, 318, 12386, 255, 609, 404, 4455, 994, 7760, 280, 255, 1367, 609, 3083, 8986, 442, 7353, 385, 255, 4472, 19641, 255, 4472, 266, 255, 11699, 337, 255, 14292, 1022, 3383, 318, 836, 255, 437, 3740, 5021, 255, 5059, 12192, 5021, 255, 22188, 12140, 5021, 255, 365, 29015, 255, 365, 5268, 296, 255, 4472, 1022, 6862, 468, 522, 255, 437, 4814, 506, 7614, 5194, 7271, 466, 7912, 421, 1907, 15812, 1851, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 635, 1743, 366, 23056, 799, 532, 2222, 755, 871, 1909, 414, 37, 3071, 1918, 28937, 270, 340, 29935, 11429, 272, 21073, 4411, 255, 37, 3071, 1918, 1147, 461, 7935, 28006, 270, 4007, 313, 650, 5118, 2479, 1618, 270, 4007, 16463, 10096, 4936, 8374, 14952, 289, 12253, 6248, 448, 748, 270, 34, 270, 15768, 5607, 27079, 276, 579, 3088, 2472, 380, 255, 23845, 255, 332, 313, 652, 253, 2627, 272, 1547, 9253, 4504, 8707, 24052, 414, 34, 88, 553, 2319, 253, 1048, 1517, 30731, 276, 20220, 10130, 314, 1065, 409, 652, 1140, 1408, 30176, 8308, 345, 1408, 6663, 255, 332, 276, 929, 596, 730, 64, 10069, 5624, 255, 252, 12922, 69, 3071, 1918, 10004, 314, 11328, 1409, 248, 805, 7414, 448, 525, 3071, 1918, 709, 2560, 578, 355, 39, 4114, 667, 1603, 18475, 363, 248, 5321, 414, 2884, 260, 323, 9450, 356, 723, 21143, 7494, 406, 332, 16488, 13592, 1692, 14090, 345, 655, 19264, 538, 1269, 186, 355, 15691, 5818, 276, 4936, 1603, 414, 5662, 1234, 32075, 3778, 249, 543, 652, 1249, 2381, 7984, 10856, 680, 355, 53, 1180, 360, 724, 253, 892, 5321, 276, 1603, 414, 24, 186, 355, 20584, 891, 13376, 360, 285, 13416, 414, 19725, 14450, 368, 255, 485, 1603, 31416, 4852, 255, 3255, 1031, 755, 25306, 2873, 4111, 335, 585, 270, 42, 8538, 9250, 1408, 1255, 1600, 335, 248, 892, 2133, 255, 549, 1654, 5572, 585, 285, 4220, 289, 3057, 532, 1560, 4956, 270, 42, 1179, 1255, 14248, 90, 3525, 1966, 255, 31943, 16307, 667, 18545, 255, 30805, 14774, 525, 27452, 289, 538, 996, 315, 22736, 592, 2133, 255, 344, 2889, 17384, 6849, 9244, 25104, 3057, 255, 332, 253, 21390, 10402, 4368, 1262, 272, 1408, 314, 355, 340, 650, 3376, 360, 2195, 269, 1597, 360, 1109, 582, 276, 4936, 1603, 1175, 2906, 5988, 414, 42, 7588, 532, 1109, 476, 5369, 253, 13208, 15485, 270, 42, 4641, 276, 1508, 270, 14715, 625, 2276, 37, 3071, 1918, 255, 1129, 5661, 366, 585, 341, 486, 1769, 454, 1540, 4558, 1172, 366, 4072, 276, 556, 2873, 289, 9171, 4214, 366, 4726, 2873, 270, 2927, 554, 1961, 8432, 270, 3013, 313, 396, 1156, 285, 1552, 1172, 366, 6708, 276, 556, 2873, 879, 5512, 1655, 6708, 1940, 565, 16752, 13658, 289, 6649, 10593, 270, 600, 313, 2987, 276, 632, 1964, 255, 1297, 1215, 2873, 270, 19117, 1412, 255, 11227, 16721, 285, 3526, 891, 7423, 904, 558, 326, 1179, 289, 253, 1936, 335, 2873, 396, 270, 1316, 1172, 359, 1687, 6708, 255, 1449, 1409, 13221, 272, 556, 2873, 289, 1140, 556, 2721, 6417, 289, 29922, 314, 1099, 359, 253, 5617, 3006, 3899, 285, 480, 2505, 272, 5119, 255, 7546, 253, 1557, 4841, 3037, 2792, 1506, 2562, 15260, 3678, 879, 14034, 1076, 3678, 313, 248, 1619, 1262, 12847, 335, 755, 3642, 10196, 1090, 642, 248, 2814, 272, 16149, 2873, 289, 2697, 270, 42, 1746, 1197, 1200, 3642, 363, 253, 914, 3038, 255, 2160, 270, 3440, 2189, 1540, 2753, 1247, 4953, 4175, 356, 1529, 5212, 14372, 253, 1112, 2133, 448, 253, 1112, 720, 289, 29541, 253, 1112, 743, 668, 2292, 823, 594, 20069, 2133, 5644, 289, 4697, 255, 332, 1172, 1306, 4278, 6708, 341, 359, 3562, 285, 599, 979, 664, 14426, 289, 2873, 8937, 270, 2281, 272, 755, 2071, 1021, 1404, 453, 11018, 276, 4236, 366, 2873, 375, 5368, 818, 2721, 1461, 276, 396, 314, 1099, 582, 360, 1200, 10228, 799, 4214, 1012, 285, 3801, 904, 640, 1179, 879, 42, 1140, 341, 1249, 1172, 1179, 596, 5673, 289, 1409, 2898, 4992, 799, 640, 409, 1179, 9406, 640, 1599, 270, 42, 652, 1200, 1172, 1140, 289, 273, 1016, 316, 556, 11365, 1694, 5117, 272, 713, 6098, 904, 640, 844, 285, 1179, 335, 253, 965, 720, 1262, 640, 409, 2415, 4599, 314, 1099, 4955, 799, 4214, 359, 338, 1935, 921, 276, 556, 1395, 4924, 285, 3801, 2873, 2500, 879, 42, 2128, 341, 1021, 1404, 8652, 285, 2095, 7597, 686, 4368, 1262, 640, 3731, 2873, 2002, 270, 1245, 1746, 1197, 812, 2512, 697, 4368, 289, 4220, 289, 640, 12146, 1197, 5772, 2512, 2873, 2048, 270, 959, 4482, 697, 4368, 289, 3412, 7875, 345, 248, 3821, 3468, 270, 42, 3412, 1661, 4220, 289, 4368, 341, 532, 2128, 1172, 1560, 4956, 270, 42, 6165, 1172, 285, 15206, 8597, 272, 4368, 289, 1409, 10720, 270, 859, 248, 2133, 6484, 1197, 2552, 255, 581, 1911, 2096, 289, 532, 6165, 1404, 285, 13125, 4368, 341, 9277, 1197, 2552, 335, 713, 270, 42, 2303, 4368, 335, 1179, 382, 10666, 341, 1357, 1172, 285, 596, 2873, 453, 253, 1112, 2627, 255, 84, 7893, 255, 7594, 255, 263, 4161, 314, 2522, 360, 2128, 917, 313, 942, 248, 3376, 363, 248, 4352, 2133, 911, 3013, 375, 2096, 461, 879, 34, 1831, 4368, 359, 13915, 3241, 255, 772, 532, 2128, 905, 4368, 476, 277, 6551, 13992, 270, 859, 532, 1746, 1197, 844, 248, 2133, 255, 42, 3338, 1249, 1172, 2096, 289, 19173, 341, 396, 672, 461, 326, 253, 1250, 2133, 335, 585, 270, 42, 2128, 253, 914, 4352, 2133, 313, 248, 2133, 341, 7443, 360, 2634, 453, 2873, 314, 1099, 582, 360, 1200, 363, 486, 2202, 276, 21182, 14455, 19587, 751, 1172, 276, 10520, 904, 640, 1179, 879, 42, 812, 248, 2814, 697, 4368, 289, 409, 2340, 870, 1172, 1140, 2232, 285, 1179, 341, 640, 558, 4956, 270, 42, 2128, 396, 313, 1249, 6831, 285, 2714, 1557, 345, 892, 4368, 335, 1404, 289, 16896, 4378, 2425, 289, 2957, 341, 870, 1172, 1179, 596, 289, 1140, 4368, 335, 3068, 270, 15298, 1249, 2010, 697, 4368, 313, 248, 6318, 657, 272, 1249, 3918, 1480, 363, 248, 3967, 270, 4126, 1172, 652, 812, 532, 881, 248, 6453, 289, 640, 5503, 1249, 2010, 363, 248, 6453, 363, 1331, 363, 248, 3967, 314, 4854, 360, 7570, 341, 917, 6484, 1197, 248, 4438, 1567, 272, 4368, 5212, 939, 1179, 879, 919, 313, 341, 1575, 911, 1099, 313, 253, 1120, 272, 7573, 268, 849, 2873, 4143, 285, 248, 11285, 1567, 911, 42, 2128, 3504, 248, 2721, 21724, 272, 4368, 341, 8574, 369, 366, 360, 313, 596, 1156, 730, 2873, 904, 3404, 4093, 16837, 360, 939, 1179, 314, 15844, 585, 904, 360, 1676, 433, 4726, 2873, 314, 7354, 4726, 2873, 313, 2072, 4072, 255, 4106, 25041, 255, 18152, 2873, 270, 14759, 3858, 1720, 904, 3404, 3666, 84, 360, 285, 1179, 313, 461, 4726, 2873, 270, 14759, 289, 26349, 248, 1567, 272, 2292, 313, 461, 4726, 2873, 314, 3013, 313, 396, 1156, 879, 959, 812, 453, 1251, 341, 253, 1404, 891, 1179, 253, 905, 476, 2031, 2873, 7863, 255, 19507, 11338, 255, 332, 596, 10593, 335, 2873, 730, 1404, 891, 1746, 1197, 1179, 1331, 270, 2164, 248, 2721, 1115, 255, 15499, 6925, 366, 277, 8684, 289, 5903, 1372, 341, 640, 1447, 314, 919, 409, 3685, 289, 612, 19651, 5372, 6165, 4726, 2873, 879, 340, 2189, 341, 5337, 285, 596, 2873, 448, 1603, 652, 5337, 285, 596, 2873, 448, 2137, 578, 355, 6644, 14873, 3821, 720, 335, 2873, 314, 355, 12719, 248, 3251, 272, 9171, 2873, 2500, 314, 355, 15756, 632, 2873, 289, 1418, 1404, 285, 3801, 904, 640, 1179, 314, 355, 29657, 1222, 248, 2873, 8705, 289, 1911, 2096, 360, 1140, 2873, 17889, 9290, 314, 1099, 554, 253, 12360, 3376, 277, 5372, 409, 582, 276, 4812, 285, 3622, 248, 1829, 933, 366, 248, 1829, 2133, 879, 1316, 536, 1267, 1404, 285, 1179, 248, 1829, 2133, 255, 581, 6369, 253, 4619, 341, 536, 1039, 556, 2873, 6708, 1262, 640, 409, 1197, 270, 859, 360, 2901, 1599, 285, 3412, 248, 1661, 2133, 366, 248, 933, 255, 1269, 396, 26155, 366, 713, 289, 3412, 253, 2002, 314, 1099, 554, 253, 1763, 3376, 277, 5372, 409, 582, 879, 340, 1763, 3376, 277, 5372, 409, 582, 285, 6165, 248, 933, 285, 1179, 248, 1661, 2133, 313, 3338, 713, 2859, 42, 1215, 1179, 480, 2133, 289, 532, 10378, 360, 724, 253, 2381, 1217, 341, 939, 1179, 396, 270, 42, 1900, 4728, 285, 7811, 366, 360, 697, 396, 802, 13449, 713, 253, 2133, 289, 6599, 2634, 314, 1099, 4093, 916, 360, 844, 285, 2222, 345, 480, 4161, 879, 53, 4552, 255, 22617, 255, 9823, 255, 332, 7755, 4726, 2873, 313, 1249, 1372, 554, 867, 270, 42, 409, 2906, 9698, 253, 4161, 1890, 42, 916, 844, 285, 2222, 341, 4478, 891, 1179, 582, 596, 285, 1357, 1404, 285, 2873, 730, 4599, 4093, 270, 7734, 1200, 2873, 363, 657, 272, 248, 4559, 1461, 746, 799, 4478, 1179, 314, 10792, 360, 255, 37, 3071, 1918, 270, 42, 881, 705, 28133, 341, 360, 5022, 720, 642, 272, 486, 8185, 285, 3412, 755, 8858, 1615, 7352, 270, 42, 1599, 285, 2222, 953, 31707, 1045, 864, 486, 1120, 341, 2873, 4478, 359, 1774, 285, 2873, 4214, 270, 1611, 632, 272, 360, 248, 2894, 397, 289, 637, 3155, 255, 78, 1558, 289, 284, 8015, 255, 72, 6440, 10689, 289, 10341, 81, 292, 255, 25757, 67, 626, 289, 612, 19651, 4478, 414, 714, 313, 650, 3077, 3376, 285, 582, 285, 1811, 480, 1280, 414, 4731, 15, 1, 17973, 355, 14751, 11187, 3885, 975, 595, 1004, 2995, 365, 702, 24526, 3532, 1556, 429, 869, 4844, 2864, 18454, 7883, 266, 7912, 546, 26300, 5038, 421, 1037, 10767, 7334, 5786, 429, 255, 3389, 1037, 30082, 10774, 546, 8896, 576, 8896, 7678, 1307, 4933, 961, 11271, 7883, 266, 20355, 421, 19108, 365, 337, 15796, 421, 4017, 4844, 2864, 669, 18685, 3771, 1445, 429, 439, 31964, 1008, 692, 12016, 9328, 26536, 2503, 255, 3389, 1037, 7420, 702, 15626, 546, 3383, 511, 910, 1715, 590, 5900, 348, 17213, 365, 466, 25031, 21598, 1486, 520, 9074, 440, 11745, 2170, 439, 23452, 421, 1793, 30819, 576, 15723, 466, 7420, 702, 1739, 869, 18454, 7883, 266, 7912, 546, 16809, 3175, 1612, 4375, 466, 26300, 1976, 4933, 439, 11271, 7883, 266, 7912, 421, 25031, 21598, 1486, 684, 4289, 522, 4900, 493, 576, 15723, 1471, 421, 1793, 6905, 429, 4844, 466, 21658, 14880, 766, 7671, 439, 14751, 702, 3355, 869, 4289, 522, 4900, 493, 702, 9074, 466, 26300, 669, 3618, 25339, 6460, 786, 439, 5445, 25339, 493, 669, 2864, 21268, 9711, 15675, 439, 5717, 6418, 5038, 421, 5757, 466, 2864, 26292, 429, 439, 11271, 7883, 266, 7912, 546, 26300, 5038, 421, 5757, 466, 30082, 10774, 4033, 429, 961, 1163, 9074, 466, 7420, 421, 6046, 27756, 6001, 16881, 337, 5998, 372, 3474, 699, 255, 30574, 6001, 13948, 12140, 618, 1081, 12176, 745, 255, 18707, 13003, 13062, 5244, 421, 13948, 5850, 23443, 280, 255, 18095, 915, 14071, 343, 511, 14362, 739, 4208, 280, 255, 1367, 404, 2839, 29130, 4897, 280, 255, 25185, 522, 31080, 628, 8964, 3740, 1236, 4686, 24399, 1674, 255, 7534, 910, 3566, 2629, 3903, 337, 447, 742, 915, 16881, 337, 5998, 1272, 32566, 255, 17580, 11896, 1604, 17033, 1155, 1113, 5574, 337, 463, 12176, 255, 15160, 270, 1401, 270, 371, 270, 24786, 384, 11690, 280, 255, 12239, 463, 3682, 546, 337, 1004, 23215, 421, 6581, 270, 365, 18629, 669, 540, 7390, 2494, 439, 23452, 692, 24087, 2008, 1004, 1965, 1206, 9491, 13270, 508, 28689, 255, 17580, 11896, 1604, 14429, 365, 2256, 283, 1081, 372, 2438, 255, 15849, 1598, 16055, 464, 2279, 463, 546, 940, 1976, 1445, 1561, 439, 3553, 22523, 20756, 9074, 466, 5067, 1193, 2190, 439, 1166, 4818, 692, 7612, 429, 869, 64, 2153, 2941, 3281, 4528, 280, 28786, 421, 1793, 940, 2864, 12186, 18454, 7883, 266, 7912, 520, 26981, 1193, 6475, 28050, 1669, 10847, 1471, 692, 5102, 618, 3529, 439, 337, 742, 1210, 2314, 10847, 520, 7671, 439, 14751, 702, 478, 910, 283, 4548, 503, 24576, 9028, 9657, 12314, 466, 6628, 421, 25557, 421, 1550, 940, 9074, 593, 8225, 10533, 8254, 439, 18707, 17467, 255, 14132, 684, 8586, 1612, 2159, 25557, 520, 9074, 421, 1793, 6628, 702, 940, 2100, 25557, 421, 1550, 9074, 10275, 593, 26300, 421, 19515, 669, 362, 18617, 331, 1307, 439, 15620, 520, 9074, 466, 496, 2256, 5710, 255, 801, 11281, 684, 19960, 7912, 421, 26300, 546, 3316, 940, 9711, 15563, 3903, 1307, 1445, 961, 18852, 3287, 429, 869, 24079, 7003, 466, 7420, 421, 14325, 466, 6628, 9513, 1486, 684, 12959, 520, 4672, 466, 940, 9074, 2614, 16805, 429, 439, 15620, 421, 9451, 5829, 16067, 13270, 26300, 421, 5757, 466, 21546, 9074, 7820, 439, 2442, 12699, 1678, 385, 18454, 7883, 266, 4734, 13999, 30546, 421, 12959, 692, 7612, 429, 869, 1108, 9074, 576, 2359, 2320, 3184, 5757, 1193, 429, 439, 2536, 13999, 30546, 421, 12959, 702, 15626, 546, 9074, 520, 439, 1163, 9074, 466, 15796, 520, 7105, 520, 27483, 17085, 2184, 401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14624, 24471, 12737, 380, 26553, 608, 518, 186, 14624, 24471, 12737, 380, 26553, 608, 518, 186, 14624, 24471, 12737, 380, 26553, 608, 518, 186, 93, 37, 921, 2427, 18646, 64, 2791, 255, 9232, 23, 356, 3015, 64, 7033, 14935, 93, 1345, 2741, 281, 601, 2427, 27239, 7724, 2499, 93, 31077, 335, 2427, 16337, 1084, 12900, 6536, 2499, 93, 2531, 1941, 3838, 16319, 19395, 12737, 380, 26553, 3265, 247, 885, 608, 518, 2499, 93, 34, 5169, 2427, 15228, 400, 325, 330, 655, 27199, 2949, 265, 64, 9668, 24, 23329, 15910, 2949, 265, 272, 253, 542, 2639, 64, 9668, 20, 186, 93, 28840, 1574, 2427, 6183, 77, 29848, 7873, 13966, 1375, 2499, 14624, 24471, 12737, 380, 26553, 608, 518, 356, 18037, 64, 2599, 255, 12987, 21, 1019, 18646, 64, 2791, 255, 9232, 23, 406, 3028, 248, 16635, 1644, 2579, 8827, 8309, 270, 1682, 313, 6485, 335, 4383, 253, 13139, 1084, 12900, 6536, 255, 9442, 14733, 253, 608, 518, 538, 4972, 255, 332, 335, 24597, 272, 253, 1978, 8977, 473, 3695, 26124, 289, 253, 1978, 8977, 473, 3695, 27020, 8019, 314, 1682, 543, 6757, 276, 21779, 255, 29973, 255, 7079, 272, 13672, 24471, 12737, 380, 26553, 608, 518, 255, 344, 9527, 272, 21779, 8904, 4274, 255, 822, 253, 9672, 608, 518, 21491, 270, 5626, 5317, 543, 25011, 25287, 646, 525, 5070, 4290, 69, 526, 270, 340, 18026, 610, 30706, 7332, 15322, 608, 518, 543, 1055, 248, 2894, 270, 2631, 2779, 345, 285, 18564, 7724, 289, 4856, 751, 276, 64, 10882, 21, 255, 249, 6281, 6817, 289, 23358, 775, 400, 270, 39, 270, 22668, 1375, 448, 608, 9471, 85, 1003, 258, 255, 15067, 255, 8578, 696, 720, 423, 3729, 5394, 64, 643, 6439, 345, 253, 7932, 289, 4664, 272, 394, 1343, 289, 14921, 6729, 270, 10434, 11559, 272, 1055, 2582, 7218, 1683, 249, 543, 253, 965, 2579, 285, 4475, 480, 3913, 276, 23358, 406, 249, 4842, 889, 4666, 2161, 14056, 8931, 335, 6813, 345, 904, 1109, 326, 2598, 285, 2258, 23358, 363, 248, 3918, 2554, 276, 253, 706, 2744, 8678, 270, 340, 1266, 6813, 423, 4707, 543, 285, 1423, 248, 3918, 5985, 20650, 1253, 904, 543, 1232, 253, 18412, 5045, 27172, 7854, 255, 344, 13139, 1084, 302, 262, 3202, 613, 563, 7873, 982, 314, 40, 518, 9503, 285, 4207, 276, 64, 10882, 25, 289, 453, 64, 10469, 19, 285, 64, 9454, 24, 543, 276, 5255, 272, 253, 1114, 3093, 9207, 272, 253, 2886, 2900, 18788, 13466, 270, 1682, 2511, 289, 9130, 253, 3171, 255, 3028, 650, 272, 253, 965, 285, 2762, 1114, 7250, 433, 605, 4556, 1465, 279, 1633, 255, 332, 7728, 253, 13269, 10610, 276, 64, 9454, 23, 285, 4550, 5167, 1114, 3093, 14, 16551, 877, 2817, 289, 4207, 314, 2631, 1055, 2768, 285, 21314, 255, 29973, 255, 40, 518, 4671, 253, 13139, 1084, 12900, 6536, 276, 64, 10882, 26, 255, 822, 423, 3729, 2658, 64, 9454, 18, 270, 1682, 524, 29910, 7854, 276, 64, 9668, 22, 289, 396, 313, 1804, 3729, 2847, 270, 3295, 64, 10469, 22, 285, 64, 10469, 26, 423, 24734, 363, 16152, 272, 253, 525, 425, 4209, 26124, 448, 2489, 67, 1274, 255, 3449, 5243, 255, 332, 276, 64, 10469, 26, 3729, 248, 4628, 272, 253, 4847, 289, 1500, 21242, 272, 1761, 2882, 3266, 6548, 285, 326, 785, 363, 4564, 433, 253, 2886, 2900, 18788, 13466, 270, 465, 64, 9454, 18, 423, 775, 26408, 253, 13692, 3941, 272, 12847, 335, 7854, 253, 5546, 272, 27172, 6535, 1509, 448, 253, 706, 2744, 270, 47, 16443, 26124, 2790, 64, 10469, 17, 314, 465, 64, 10469, 18, 608, 518, 6658, 966, 268, 14921, 6729, 276, 556, 1460, 272, 7165, 255, 332, 13929, 480, 966, 276, 248, 8963, 356, 10619, 286, 406, 292, 253, 14391, 6142, 272, 277, 22657, 314, 465, 64, 9454, 21, 423, 543, 19791, 285, 253, 21423, 6809, 272, 253, 400, 4309, 8250, 16561, 285, 2076, 1055, 10341, 26115, 24485, 426, 13672, 24471, 608, 518, 270, 465, 253, 64, 9232, 17, 84, 423, 4183, 277, 2240, 5182, 272, 253, 21423, 6809, 272, 253, 393, 722, 272, 253, 2579, 10611, 314, 3639, 1725, 271, 276, 64, 9454, 19, 718, 6402, 285, 253, 2886, 2900, 11706, 18340, 10883, 255, 249, 12662, 276, 64, 9454, 26, 277, 1156, 3709, 272, 21161, 515, 276, 253, 462, 5402, 289, 27211, 1525, 14352, 272, 2579, 393, 954, 5408, 270, 465, 64, 9454, 21, 423, 20140, 725, 248, 5575, 2161, 1923, 448, 21314, 255, 29973, 255, 332, 775, 26408, 276, 64, 9454, 25, 255, 251, 18261, 272, 253, 1978, 8977, 473, 24691, 255, 864, 15504, 248, 3638, 2161, 1923, 448, 400, 9284, 8333, 868, 66, 270, 465, 64, 10288, 18, 423, 4183, 253, 965, 16152, 272, 253, 1978, 8977, 473, 3695, 26124, 356, 21371, 255, 15614, 793, 1348, 1317, 13139, 1084, 9284, 5769, 80, 402, 400, 9284, 8333, 868, 66, 272, 253, 3695, 2268, 272, 400, 9284, 8333, 868, 66, 795, 2447, 917, 255, 249, 289, 2172, 31430, 17323, 20662, 253, 9870, 21612, 1161, 397, 1018, 10701, 2511, 2963, 5538, 2142, 270, 2164, 8802, 64, 18, 255, 9668, 21, 255, 249, 1509, 253, 2121, 8821, 9940, 268, 272, 253, 7862, 400, 1477, 272, 64, 9668, 19, 270, 340, 777, 272, 23224, 335, 1415, 5316, 10590, 477, 14685, 608, 518, 285, 22626, 366, 1978, 8977, 473, 9038, 285, 852, 253, 1978, 8977, 473, 3695, 27020, 8019, 255, 344, 965, 276, 5033, 4207, 314, 40, 518, 709, 5700, 272, 599, 270, 46, 270, 51, 16906, 71, 10175, 709, 16651, 272, 253, 29412, 74, 4067, 276, 64, 9454, 23, 1189, 4294, 2327, 285, 10777, 363, 248, 16635, 254, 276, 253, 693, 272, 253, 8129, 363, 277, 7231, 272, 10103, 649, 332, 423, 21445, 448, 400, 9284, 8333, 868, 66, 64, 10069, 17, 2271, 3373, 272, 9870, 5296, 11804, 255, 344, 5281, 272, 696, 16894, 253, 15948, 1233, 272, 1055, 1372, 270, 1682, 9573, 276, 1978, 28521, 2658, 64, 9668, 22, 255, 2446, 423, 9503, 285, 21314, 255, 29973, 270, 1682, 4707, 253, 12233, 2949, 265, 272, 253, 16123, 13139, 1084, 12900, 6809, 276, 64, 9668, 20, 289, 253, 12717, 400, 325, 330, 655, 27199, 2949, 265, 276, 64, 9668, 24, 270, 16337, 31684, 3937, 285, 7896, 253, 4582, 4971, 5933, 272, 248, 1539, 3754, 4509, 272, 253, 26565, 13740, 285, 696, 423, 1747, 556, 3482, 276, 64, 10288, 24, 255, 332, 15746, 2327, 366, 800, 1933, 255, 340, 608, 518, 538, 4972, 270, 34, 30369, 345, 253, 11152, 313, 6630, 1253, 2327, 270, 40, 518, 543, 18649, 248, 5182, 272, 253, 2579, 6951, 1146, 4852, 6809, 276, 64, 9232, 19, 270, 1682, 9274, 448, 21314, 255, 29973, 276, 64, 9232, 23, 314, 465, 64, 10288, 21, 608, 518, 6243, 1055, 7553, 867, 255, 344, 706, 4153, 1477, 8442, 1978, 28521, 356, 13046, 64, 10288, 26, 823, 475, 696, 423, 4707, 276, 64, 9668, 20, 253, 6110, 1083, 265, 272, 253, 16123, 13139, 1084, 12900, 6809, 270, 340, 7854, 7950, 608, 518, 1265, 515, 285, 632, 6883, 6548, 1363, 64, 1504, 5039, 272, 253, 8391, 25823, 14274, 276, 248, 5148, 2011, 285, 904, 579, 6825, 303, 1523, 1168, 5220, 2598, 335, 253, 9810, 21612, 270, 1173, 8960, 4169, 255, 864, 696, 4674, 64, 643, 380, 3227, 878, 476, 838, 586, 1930, 285, 253, 2103, 1030, 335, 632, 6548, 276, 253, 3345, 706, 4153, 1477, 8442, 1978, 28521, 255, 262, 1895, 448, 15487, 15, 334, 260, 1477, 8442, 5428, 290, 2567, 3411, 16, 314, 40, 518, 5672, 1055, 706, 4153, 1477, 8442, 1978, 28521, 366, 248, 7865, 1934, 7127, 21403, 272, 64, 9051, 13, 9299, 6548, 356, 9668, 21, 823, 332, 248, 2147, 16322, 619, 356, 9668, 22, 406, 3244, 8300, 453, 7276, 27866, 6535, 272, 64, 3523, 13, 21, 4018, 6548, 314, 355, 41, 431, 4586, 255, 16589, 356, 971, 26, 795, 340, 9244, 10906, 22774, 272, 13139, 31684, 270, 26853, 22090, 270, 13191, 64, 16277, 14, 17, 14, 3982, 24, 14, 21079, 2296, 14, 17, 270, 14417, 9434, 64, 2296, 255, 993, 19, 314, 355, 7395, 6951, 1146, 4852, 6809, 31284, 24629, 186, 355, 48, 8, 2193, 9541, 255, 7860, 876, 6122, 51, 25948, 251, 255, 5662, 78, 1410, 579, 1353, 3, 1345, 625, 538, 5471, 608, 518, 2881, 12585, 53, 5916, 6248, 272, 10302, 21581, 255, 6076, 272, 938, 25187, 84, 314, 355, 3639, 1781, 722, 1634, 36, 7317, 392, 25077, 30037, 272, 2579, 9244, 3536, 270, 6870, 17, 270, 314, 355, 3053, 13632, 25077, 30037, 3850, 2150, 6070, 356, 1298, 380, 1145, 14670, 6662, 18, 270, 314, 355, 9121, 10131, 272, 8568, 9244, 10906, 17022, 10062, 186, 355, 14624, 24471, 12737, 380, 26553, 608, 518, 289, 253, 706, 4153, 1477, 8442, 1978, 28521, 186, 355, 14624, 24471, 416, 270, 40, 518, 22219, 186, 355, 15321, 325, 887, 272, 13672, 24471, 416, 270, 40, 518, 453, 253, 599, 1000, 26124, 29080, 12427, 8739, 389, 255, 13295, 27668, 26989, 91, 10501, 709, 12427, 22601, 454, 1, 1132, 554, 277, 2218, 28015, 697, 811, 285, 21728, 1255, 8769, 17653, 414, 1245, 8105, 285, 7213, 471, 270, 959, 806, 28685, 270, 2927, 554, 4097, 314, 2318, 554, 461, 2876, 277, 5167, 5848, 272, 1255, 17653, 255, 772, 396, 554, 7675, 5167, 335, 26314, 4296, 76, 2101, 356, 1696, 24928, 29890, 21654, 261, 563, 270, 1696, 18283, 317, 4408, 959, 4482, 697, 12629, 25417, 255, 332, 14898, 433, 248, 13557, 8439, 270, 3136, 536, 4097, 783, 16396, 1454, 314, 340, 1829, 84, 272, 253, 26314, 4296, 76, 2101, 3327, 359, 2712, 253, 3194, 272, 414, 340, 8310, 16190, 543, 30943, 388, 14137, 289, 26321, 30713, 270, 1245, 8105, 285, 1039, 632, 253, 10845, 20475, 307, 369, 270, 1245, 12169, 253, 26387, 356, 247, 5395, 1915, 255, 344, 11772, 2716, 1168, 248, 25638, 18634, 746, 18141, 1591, 248, 26387, 276, 27913, 649, 1662, 313, 929, 3056, 253, 1576, 289, 31009, 1197, 838, 335, 8801, 406, 332, 23077, 271, 24066, 276, 396, 285, 749, 446, 3236, 396, 270, 3136, 253, 462, 2313, 378, 4270, 3284, 319, 1284, 270, 1245, 5369, 289, 4755, 253, 26387, 1329, 270, 1245, 7650, 285, 3117, 6750, 369, 396, 255, 332, 640, 2635, 285, 1590, 253, 26387, 554, 1590, 270, 8907, 255, 1534, 543, 914, 2512, 436, 264, 1080, 6682, 3868, 285, 2121, 650, 1600, 356, 332, 396, 3337, 2032, 2449, 285, 1039, 596, 795, 1245, 1590, 271, 253, 17958, 20168, 255, 332, 253, 3868, 5041, 325, 1341, 3407, 26771, 6222, 2449, 255, 5681, 2512, 285, 1039, 596, 6682, 3868, 314, 13403, 268, 253, 2616, 263, 2101, 335, 26314, 4296, 76, 2101, 313, 2621, 248, 1119, 272, 1972, 2344, 253, 5041, 14743, 270, 22589, 84, 1590, 650, 26941, 285, 6142, 986, 973, 4273, 255, 332, 1750, 26941, 1215, 285, 326, 248, 26941, 270, 2124, 945, 1939, 345, 253, 5041, 14743, 363, 253, 3868, 14605, 3056, 730, 396, 7104, 939, 476, 270, 16087, 1939, 345, 253, 5041, 14743, 363, 23611, 289, 7611, 8769, 3479, 276, 253, 3336, 272, 25417, 314, 9, 19707, 1592, 697, 253, 2285, 797, 6596, 263, 2101, 32715, 340, 3345, 3368, 272, 253, 2285, 797, 6596, 263, 2101, 802, 3028, 248, 6936, 1333, 83, 1963, 970, 17958, 276, 253, 26387, 276, 27913, 270, 2318, 554, 253, 3376, 253, 462, 2313, 378, 4270, 2635, 285, 1590, 270, 465, 14821, 17544, 2859, 6596, 263, 2101, 802, 6745, 1215, 1633, 17958, 255, 332, 396, 2906, 6842, 285, 253, 10693, 1333, 16942, 3376, 10845, 1590, 345, 26314, 4296, 76, 2101, 270, 340, 14821, 17544, 2285, 335, 341, 313, 304, 260, 4296, 21789, 270, 465, 2926, 2859, 6596, 263, 2101, 802, 10461, 253, 26314, 4296, 76, 2101, 3376, 356, 7713, 799, 945, 359, 32382, 253, 11460, 375, 2232, 795, 2124, 945, 1560, 2415, 285, 3338, 360, 341, 2616, 263, 2101, 313, 277, 10985, 2285, 270, 1245, 2539, 1250, 276, 17544, 255, 772, 4708, 276, 2926, 270, 465, 2926, 2859, 6596, 263, 2101, 802, 262, 248, 2443, 2285, 5518, 1132, 313, 652, 248, 2657, 272, 5338, 273, 3273, 3845, 1262, 253, 5041, 14743, 3437, 3868, 270, 5397, 5109, 3786, 3845, 285, 693, 335, 480, 359, 4870, 8111, 289, 1746, 16780, 314, 85, 77, 28, 9752, 26314, 4296, 76, 2101, 313, 697, 9382, 751, 8769, 2333, 289, 4559, 6207, 276, 253, 3336, 272, 25417, 270, 673, 554, 652, 697, 277, 5395, 5041, 14743, 7526, 3868, 270, 5397, 2018, 945, 582, 285, 18997, 26314, 4296, 76, 2101, 359, 1590, 32464, 289, 4097, 273, 3273, 3845, 942, 363, 4870, 8111, 289, 1746, 16780, 15, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1099, 313, 253, 12244, 4272, 4022, 2462, 27475, 319, 252, 627, 363, 248, 3325, 1194, 6521, 276, 30713, 911, 1099, 313, 4708, 861, 253, 2987, 4290, 363, 1020, 363, 783, 612, 1217, 61, 16433, 313, 510, 2210, 6643, 2712, 366, 2327, 363, 1114, 363, 423, 313, 461, 11392, 253, 18634, 272, 253, 4290, 272, 11772, 879, 1065, 1039, 396, 3458, 844, 23494, 14879, 6530, 319, 252, 627, 285, 326, 248, 3325, 1194, 6521, 314, 1507, 396, 543, 608, 1503, 25560, 988, 891, 14879, 705, 956, 79, 18132, 1509, 725, 253, 3863, 255, 581, 4755, 713, 453, 608, 1503, 314, 4727, 341, 253, 965, 64, 19, 272, 253, 64, 728, 5108, 762, 359, 578, 355, 1283, 3896, 341, 914, 2465, 8942, 253, 1280, 356, 549, 396, 2434, 929, 2699, 285, 18634, 4599, 4093, 680, 355, 2080, 672, 461, 18634, 4599, 4093, 25071, 335, 608, 1503, 25560, 988, 314, 2148, 18634, 268, 4599, 4093, 360, 359, 4812, 285, 2308, 4299, 253, 1248, 30578, 289, 6614, 272, 608, 1503, 255, 1639, 1029, 751, 2327, 956, 252, 783, 1115, 956, 864, 253, 612, 5699, 3838, 406, 1129, 18634, 270, 600, 313, 5412, 3379, 285, 608, 1503, 696, 2465, 4022, 4197, 356, 247, 253, 64, 728, 5108, 762, 406, 1554, 423, 558, 31090, 17139, 314, 340, 2338, 4290, 15271, 396, 248, 4088, 28915, 313, 1262, 396, 313, 28127, 872, 366, 30713, 270, 74, 3031, 270, 3811, 360, 1423, 510, 2210, 7662, 612, 730, 4290, 255, 344, 16468, 272, 9197, 2101, 2161, 559, 9769, 7425, 270, 1065, 1657, 476, 2032, 26149, 270, 1065, 2524, 4499, 1741, 486, 5503, 289, 19365, 276, 4290, 289, 3965, 2524, 18634, 25560, 5123, 186, 15788, 248, 14584, 453, 253, 470, 66, 282, 342, 495, 425, 272, 438, 886, 395, 11151, 1225, 656, 395, 356, 5859, 272, 27604, 680, 2631, 17322, 1253, 904, 313, 253, 905, 2555, 272, 253, 9662, 21734, 289, 25459, 272, 849, 8375, 255, 581, 1246, 341, 253, 2753, 12142, 271, 14098, 272, 253, 15722, 272, 608, 1503, 313, 253, 3668, 289, 7660, 272, 30713, 270, 673, 313, 253, 965, 272, 253, 24345, 272, 253, 9197, 2101, 255, 332, 396, 902, 26158, 877, 253, 1691, 589, 346, 289, 253, 1868, 1176, 270, 673, 313, 253, 2239, 289, 4502, 272, 6152, 5853, 255, 332, 650, 891, 4052, 665, 453, 396, 956, 4691, 461, 326, 1865, 285, 1315, 6152, 402, 3249, 289, 1055, 9166, 558, 461, 1275, 428, 314, 4206, 705, 255, 3591, 257, 1054, 359, 2876, 8247, 730, 6530, 319, 252, 627, 1175, 359, 26522, 461, 4088, 1042, 5822, 270, 11188, 3225, 431, 8878, 276, 15128, 3171, 313, 276, 783, 2699, 8247, 255, 772, 448, 2082, 396, 313, 461, 12579, 28127, 872, 366, 30713, 270, 1065, 476, 285, 1423, 13992, 270, 15788, 248, 14584, 345, 480, 453, 1072, 886, 395, 28397, 1225, 656, 395, 10310, 64, 22, 578, 8717, 536, 409, 2222, 335, 253, 6530, 319, 510, 2210, 27555, 255, 1554, 25241, 272, 608, 1503, 313, 904, 9404, 2327, 285, 480, 356, 249, 19365, 285, 1012, 4470, 375, 4232, 453, 253, 6530, 319, 795, 1452, 255, 344, 6530, 319, 510, 2210, 27555, 313, 285, 326, 7494, 806, 253, 990, 2938, 24052, 356, 16531, 431, 3954, 406, 247, 253, 1387, 2172, 2192, 578, 9, 18, 406, 465, 849, 1915, 255, 1534, 359, 929, 29734, 1116, 696, 409, 1315, 5041, 325, 3155, 285, 17453, 285, 253, 6530, 319, 510, 2210, 27555, 1055, 27777, 25541, 255, 772, 253, 990, 2938, 24052, 276, 608, 1503, 709, 9197, 2101, 356, 3255, 15822, 253, 3171, 272, 608, 1503, 285, 615, 597, 945, 255, 292, 1861, 823, 1534, 359, 14739, 335, 248, 2980, 2215, 2327, 255, 4477, 423, 775, 26408, 253, 5108, 762, 285, 5618, 608, 1503, 4960, 289, 775, 26408, 253, 12260, 1320, 461, 285, 5618, 3404, 4093, 356, 9516, 608, 1503, 1436, 9, 19, 406, 340, 6530, 319, 601, 10470, 6865, 2232, 696, 1147, 461, 300, 7663, 2215, 608, 1503, 356, 15199, 255, 78, 3299, 255, 303, 1513, 823, 772, 253, 990, 2938, 24052, 276, 608, 1503, 709, 9197, 2101, 10470, 6865, 248, 1391, 1285, 891, 9789, 1847, 2215, 608, 1503, 363, 1020, 363, 650, 891, 1147, 461, 300, 7663, 2215, 25560, 314, 9, 20, 406, 340, 6530, 319, 601, 10470, 6865, 650, 3376, 4960, 255, 7485, 335, 253, 990, 2938, 24052, 255, 1534, 313, 929, 3560, 285, 1288, 423, 10470, 6865, 314, 9, 21, 406, 340, 6530, 319, 601, 709, 4469, 313, 6561, 335, 632, 285, 1200, 255, 332, 945, 11900, 3068, 453, 2327, 2033, 285, 1972, 2010, 272, 1055, 27840, 272, 608, 1503, 709, 5894, 270, 1507, 253, 990, 2938, 24052, 709, 27840, 313, 461, 6561, 255, 332, 945, 5503, 276, 2327, 255, 7256, 423, 313, 596, 2237, 285, 2982, 713, 356, 23976, 562, 713, 366, 1055, 7080, 8837, 406, 9516, 253, 6530, 319, 510, 2210, 27555, 314, 2080, 409, 4079, 253, 1112, 2946, 285, 2863, 253, 4088, 17386, 1616, 14685, 335, 17804, 13109, 375, 1616, 408, 270, 1294, 2018, 359, 28127, 872, 366, 248, 9197, 2101, 3457, 289, 861, 2299, 285, 873, 23977, 417, 558, 11741, 1411, 1995, 32495, 396, 314, 1283, 1039, 253, 1949, 9083, 255, 344, 542, 4032, 353, 12949, 356, 41, 307, 329, 395, 19429, 364, 64, 19, 27, 18, 406, 1554, 253, 3078, 5226, 272, 6530, 319, 6381, 543, 16, 262, 341, 608, 1503, 313, 276, 5255, 289, 253, 6530, 319, 252, 627, 5152, 800, 1323, 453, 25560, 270, 1611, 255, 347, 536, 1804, 3896, 341, 608, 1503, 313, 253, 538, 1342, 255, 2752, 709, 253, 1619, 879, 42, 3135, 7928, 277, 6884, 341, 253, 1619, 313, 341, 861, 360, 476, 277, 25248, 592, 255, 484, 360, 558, 1565, 697, 313, 904, 253, 25248, 592, 8102, 270, 859, 917, 313, 3404, 953, 31664, 1045, 247, 5255, 272, 360, 255, 1129, 12313, 1565, 697, 904, 253, 953, 12403, 1455, 18872, 1045, 4397, 255, 292, 1114, 363, 253, 11394, 360, 359, 9529, 366, 313, 8764, 270, 1611, 360, 8983, 1882, 486, 2246, 366, 608, 1503, 433, 12032, 285, 783, 612, 11394, 363, 2507, 24205, 806, 360, 314, 42, 582, 461, 3960, 476, 3178, 335, 480, 649, 772, 255, 10056, 2621, 783, 7466, 272, 6530, 319, 252, 9409, 5226, 255, 42, 558, 13124, 277, 2428, 314, 20363, 319, 252, 627, 11308, 65, 5793, 361, 2101, 2632, 19371, 1045, 247, 17544, 406, 671, 84, 453, 253, 5226, 341, 26023, 1056, 356, 74, 3031, 270, 40, 1503, 406, 262, 3562, 289, 12327, 1323, 16, 3749, 247, 274, 806, 26399, 366, 612, 11881, 314, 859, 480, 724, 2987, 255, 1682, 15082, 22235, 322, 255, 264, 916, 1676, 341, 929, 402, 390, 620, 6151, 1323, 16, 3749, 247, 274, 289, 255, 7256, 255, 4789, 402, 390, 2507, 2736, 1323, 16, 3749, 247, 274, 270, 974, 1123, 255, 1313, 390, 18, 672, 476, 2373, 247, 274, 806, 253, 6910, 289, 402, 390, 19, 806, 253, 11152, 314, 1099, 4955, 799, 253, 871, 375, 596, 402, 781, 2951, 25382, 9700, 911, 1099, 4955, 799, 1691, 589, 346, 34, 499, 1227, 433, 402, 390, 18, 709, 5108, 696, 7367, 14994, 84, 1691, 589, 346, 35, 709, 499, 4219, 433, 402, 390, 19, 709, 5108, 879, 600, 672, 326, 248, 244, 370, 1326, 291, 1317, 530, 29007, 364, 649, 772, 255, 1662, 1797, 19240, 390, 746, 4881, 1528, 276, 7282, 769, 252, 19189, 270, 42, 582, 904, 532, 1599, 255, 3106, 396, 5724, 84, 366, 1249, 8837, 270, 1696, 360, 582, 904, 360, 1599, 255, 3106, 396, 5724, 84, 366, 486, 8837, 314, 600, 313, 255, 1639, 4610, 255, 344, 7465, 6048, 272, 7282, 2290, 319, 323, 1096, 414, 247, 849, 1381, 31386, 255, 66, 2167, 19240, 390, 255, 8235, 5258, 746, 272, 8837, 270, 465, 2136, 255, 344, 5226, 276, 650, 608, 1503, 366, 6151, 1323, 637, 2716, 26399, 255, 7485, 253, 5226, 276, 2593, 402, 781, 366, 2736, 1323, 22831, 26399, 314, 3248, 3238, 414, 6934, 3, 37, 255, 4922, 3169, 3385, 255, 15680, 338, 4361, 1144, 2348, 248, 1072, 378, 370, 4649, 2357, 3241, 433, 20365, 5602, 566, 91, 16644, 17301, 20933, 26441, 4881, 253, 1112, 6192, 363, 16365, 6530, 319, 252, 627, 709, 375, 2620, 344, 1096, 709, 25327, 937, 345, 253, 1280, 314, 3248, 3238, 414, 6934, 3, 37, 416, 1831, 1233, 2770, 255, 42, 1567, 3595, 285, 248, 470, 74, 65, 334, 433, 542, 656, 393, 1056, 86, 8, 350, 516, 4070, 90, 2101, 86, 276, 696, 423, 9556, 84, 1249, 2436, 382, 22913, 596, 18924, 3715, 315, 414, 2101, 69, 323, 356, 445, 390, 406, 13973, 3334, 3506, 5793, 361, 252, 26023, 1056, 18988, 604, 425, 356, 2460, 445, 390, 406, 13973, 3334, 3506, 5793, 361, 2101, 2632, 19371, 15, 1, 46, 30663, 356, 7083, 270, 1623, 680, 5203, 4358, 2344, 341, 917, 359, 64, 7434, 13, 1637, 24507, 10845, 797, 85, 302, 457, 3230, 524, 4219, 802, 247, 12870, 255, 344, 1692, 322, 1496, 272, 253, 11420, 272, 24507, 10845, 276, 253, 3008, 14002, 2847, 12662, 277, 13771, 285, 253, 10845, 272, 4207, 255, 16387, 408, 473, 255, 13739, 426, 289, 612, 2800, 8931, 335, 797, 317, 9593, 1400, 12311, 81, 2930, 340, 13771, 2436, 642, 341, 253, 8769, 26743, 276, 253, 10904, 8204, 359, 797, 344, 4438, 272, 253, 2264, 8769, 2672, 276, 23497, 2432, 11388, 23649, 2331, 398, 1154, 2215, 253, 8769, 2530, 272, 23497, 8955, 24507, 10845, 285, 5161, 556, 3182, 2106, 344, 13771, 3992, 3275, 1283, 5742, 556, 4143, 640, 2299, 4272, 713, 632, 556, 1280, 315, 7311, 289, 4045, 289, 30780, 276, 4119, 1317, 2562, 253, 7366, 270, 465, 480, 5148, 783, 64, 7434, 13, 1637, 24507, 10845, 7729, 8894, 453, 253, 26298, 265, 23649, 1734, 824, 285, 1140, 363, 2123, 364, 276, 253, 10904, 8204, 314, 1093, 39, 12829, 3677, 272, 556, 12274, 640, 1031, 3068, 5346, 285, 867, 276, 2111, 1067, 5750, 289, 3239, 4497, 18415, 366, 253, 2406, 10904, 2530, 276, 335, 3799, 2379, 12062, 2215, 253, 883, 81, 24240, 6654, 9115, 1096, 270, 1452, 255, 344, 658, 472, 555, 269, 455, 617, 394, 69, 1320, 363, 1020, 363, 253, 6260, 23111, 12974, 453, 1967, 17470, 17331, 248, 1355, 3020, 8672, 3017, 556, 1095, 255, 24940, 2425, 289, 13942, 314, 29304, 1892, 272, 253, 18814, 637, 2557, 320, 1191, 271, 9472, 10633, 276, 253, 381, 2851, 1405, 272, 253, 1825, 8769, 2672, 276, 23497, 433, 253, 1704, 90, 1648, 272, 6654, 9115, 1096, 396, 313, 5708, 341, 253, 8769, 26743, 276, 253, 10904, 8204, 255, 19360, 285, 556, 1982, 289, 556, 2260, 255, 4691, 15330, 253, 4438, 272, 253, 2264, 8769, 2672, 276, 23497, 270, 34, 23401, 390, 272, 253, 26743, 359, 13047, 6937, 1019, 14260, 10347, 255, 20550, 391, 255, 14682, 20499, 255, 570, 7540, 84, 255, 15324, 255, 11968, 607, 255, 455, 262, 527, 255, 1098, 329, 1075, 255, 11439, 14484, 10893, 2616, 289, 1701, 4453, 255, 3278, 359, 5302, 453, 253, 6391, 9289, 314, 1093, 3522, 255, 2236, 1255, 1120, 272, 1892, 255, 264, 313, 272, 253, 2638, 2154, 3769, 341, 4906, 1575, 939, 326, 2598, 285, 2877, 253, 1372, 289, 1095, 272, 755, 8769, 26743, 341, 640, 1560, 650, 1600, 2768, 285, 23497, 276, 30198, 3458, 2333, 2559, 270, 600, 313, 1350, 596, 1156, 2790, 253, 24507, 10845, 276, 253, 780, 16310, 476, 2195, 6386, 289, 359, 1657, 15233, 556, 637, 1492, 10301, 558, 285, 2768, 285, 556, 25147, 2203, 1019, 66, 3284, 1876, 13949, 23497, 314, 1093, 4284, 480, 32740, 1784, 272, 556, 2183, 253, 24507, 10845, 2199, 556, 3938, 2562, 556, 26642, 19514, 366, 799, 640, 359, 5701, 433, 1704, 270, 16358, 27409, 272, 253, 7076, 21345, 285, 849, 637, 26282, 26642, 891, 476, 19824, 276, 23497, 289, 891, 269, 3015, 248, 700, 258, 5564, 443, 2215, 253, 26298, 265, 23649, 896, 30430, 396, 313, 272, 253, 905, 19541, 3769, 341, 7785, 1400, 870, 939, 326, 1687, 285, 253, 8769, 26743, 276, 253, 10904, 8204, 453, 9025, 253, 2264, 8769, 2672, 276, 23497, 313, 3450, 1142, 285, 326, 16863, 483, 314, 1093, 2164, 18261, 272, 253, 12148, 3659, 24507, 10845, 19386, 524, 4219, 276, 253, 10904, 8204, 289, 6834, 433, 253, 7918, 9125, 11420, 272, 24507, 10845, 1985, 471, 13771, 285, 253, 7477, 272, 5525, 627, 276, 253, 2886, 2900, 255, 14897, 4207, 255, 14288, 4207, 255, 16250, 255, 16387, 408, 473, 270, 13739, 426, 289, 7986, 285, 6646, 3068, 366, 253, 17265, 272, 253, 24507, 10845, 276, 253, 780, 16310, 8142, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6478, 253, 3159, 1476, 548, 272, 23311, 289, 3129, 868, 3018, 255, 85, 4299, 877, 26151, 14459, 1591, 253, 16691, 7848, 27012, 433, 4828, 270, 2447, 1021, 12983, 27378, 942, 363, 24841, 289, 9470, 1109, 326, 14496, 3233, 499, 21570, 248, 8953, 366, 2483, 7525, 255, 1126, 27378, 942, 363, 477, 1133, 255, 88, 473, 255, 332, 11612, 2635, 285, 326, 19174, 276, 1430, 13130, 335, 4526, 1213, 448, 4828, 289, 345, 2802, 289, 285, 12213, 556, 19946, 270, 14510, 13109, 543, 965, 2966, 276, 1460, 285, 15425, 755, 5176, 2129, 270, 4636, 720, 255, 344, 2247, 831, 9982, 453, 1539, 255, 445, 370, 2277, 271, 5978, 4526, 7764, 285, 18228, 255, 15565, 1076, 2104, 276, 23989, 7143, 785, 285, 2871, 19493, 7816, 942, 363, 13446, 1966, 375, 12553, 314, 1173, 2889, 25227, 619, 272, 1734, 1620, 2773, 66, 7764, 9392, 285, 253, 436, 2716, 272, 253, 18762, 2891, 5023, 285, 2141, 270, 1294, 6062, 724, 1625, 345, 253, 21019, 334, 1067, 15066, 3294, 289, 12252, 7764, 341, 1109, 914, 326, 9614, 271, 433, 253, 24709, 20293, 289, 724, 12075, 483, 366, 273, 1963, 6771, 2191, 30765, 289, 19585, 17869, 272, 8614, 1372, 289, 21969, 21553, 270, 1294, 3891, 383, 724, 272, 942, 10958, 341, 640, 3068, 4183, 846, 1076, 27378, 289, 724, 2288, 271, 3442, 253, 16691, 1280, 649, 10645, 1350, 335, 253, 1199, 7816, 640, 724, 2966, 285, 1516, 270, 1294, 2104, 359, 14353, 10313, 433, 556, 7143, 289, 556, 831, 543, 20846, 5701, 285, 556, 1295, 255, 1808, 396, 7525, 255, 2460, 81, 16129, 255, 263, 5204, 314, 2080, 272, 755, 1661, 2063, 255, 76, 83, 6381, 359, 1539, 15979, 12168, 7764, 366, 2692, 4786, 84, 289, 871, 22782, 341, 1583, 345, 4265, 271, 13907, 270, 5129, 3810, 564, 83, 6381, 255, 18104, 1253, 556, 5323, 12168, 22782, 255, 505, 253, 13064, 5215, 272, 564, 83, 6381, 341, 724, 5572, 721, 26208, 84, 453, 8460, 22844, 270, 44, 83, 6381, 724, 277, 8077, 4821, 272, 4250, 785, 1305, 253, 1535, 22239, 255, 260, 5395, 8310, 18762, 289, 8092, 8220, 30030, 1671, 29641, 1076, 433, 29472, 270, 9399, 1419, 646, 724, 28543, 3436, 253, 5575, 5523, 1574, 272, 253, 4905, 5187, 255, 15381, 3436, 248, 2384, 4179, 2103, 366, 248, 7199, 341, 1689, 24790, 721, 248, 3884, 8693, 285, 8674, 8144, 253, 8347, 1253, 270, 21921, 8365, 433, 32491, 761, 2780, 289, 991, 67, 824, 3418, 289, 13614, 10159, 724, 253, 1266, 2292, 649, 4714, 255, 292, 253, 16238, 875, 28614, 289, 253, 1980, 272, 253, 15220, 5022, 806, 255, 2750, 2333, 15278, 4183, 253, 2987, 1939, 270, 56, 473, 916, 326, 30115, 366, 1071, 3436, 253, 564, 83, 601, 1485, 253, 7038, 352, 1789, 545, 916, 326, 15423, 11041, 285, 253, 1430, 300, 535, 391, 270, 44, 83, 6381, 724, 1412, 12075, 483, 366, 19585, 17869, 1239, 12962, 2424, 272, 7832, 284, 1546, 289, 29188, 255, 25365, 341, 1381, 3453, 1144, 253, 19020, 9352, 272, 253, 1535, 1419, 646, 1305, 696, 253, 7764, 724, 2876, 785, 314, 6478, 253, 64, 23, 380, 16474, 538, 7733, 1353, 344, 10959, 272, 8460, 22844, 255, 1229, 556, 14885, 3603, 1834, 1870, 3891, 383, 341, 965, 9374, 276, 253, 64, 24, 380, 16474, 255, 3749, 4226, 253, 23462, 14790, 1483, 13109, 13865, 5263, 270, 1452, 255, 1639, 1591, 64, 22, 1623, 538, 7733, 1353, 344, 4744, 272, 26208, 84, 255, 1229, 556, 10934, 10702, 272, 5335, 7143, 289, 19585, 17869, 255, 7874, 269, 6031, 271, 1447, 453, 253, 8460, 22844, 2538, 289, 4546, 248, 6911, 1292, 19953, 276, 29201, 3891, 383, 270, 14510, 13109, 2413, 276, 26208, 84, 543, 14459, 276, 253, 8065, 18274, 1666, 1724, 363, 253, 1028, 254, 645, 2112, 395, 270, 2467, 255, 455, 1158, 2966, 4906, 453, 10543, 19396, 289, 18986, 12075, 515, 255, 864, 399, 16086, 6176, 334, 1016, 289, 6071, 7764, 356, 292, 1020, 363, 5978, 26233, 14, 1549, 795, 340, 5405, 272, 253, 25554, 724, 18746, 345, 248, 14048, 9478, 1483, 368, 554, 9818, 289, 24459, 276, 248, 4912, 1333, 5675, 6665, 79, 1224, 253, 12985, 1109, 2762, 253, 2743, 272, 253, 5335, 433, 10218, 253, 4524, 1893, 1363, 270, 2447, 1021, 1483, 1530, 298, 5262, 289, 19585, 556, 1395, 2104, 255, 5127, 1483, 1530, 5767, 271, 276, 7936, 1661, 7143, 255, 332, 612, 13422, 10598, 276, 10582, 314, 2058, 965, 255, 344, 5914, 1176, 1906, 1530, 780, 3486, 253, 3603, 1834, 1870, 5215, 7728, 433, 253, 8460, 22844, 2538, 270, 465, 3603, 1834, 1870, 4340, 255, 344, 399, 568, 2005, 543, 6013, 366, 248, 30115, 12139, 272, 14626, 270, 34, 27848, 2391, 272, 5945, 13700, 14626, 4462, 253, 953, 4835, 11722, 1045, 3710, 285, 9591, 345, 7832, 276, 4833, 3858, 19347, 11032, 270, 3245, 715, 369, 4366, 724, 1232, 1616, 2067, 5813, 253, 7832, 270, 5426, 255, 13687, 1284, 3117, 289, 3406, 13030, 724, 3753, 1485, 21721, 270, 1452, 255, 1639, 64, 22216, 538, 7733, 1353, 344, 3603, 1834, 1870, 5215, 916, 326, 4881, 8452, 433, 3117, 1834, 1870, 3891, 383, 696, 965, 9374, 1591, 64, 22, 1428, 270, 465, 253, 3117, 1834, 1870, 4340, 255, 344, 901, 543, 19184, 289, 253, 7832, 9374, 276, 3117, 2215, 248, 3603, 4713, 270, 45, 15185, 1314, 11722, 543, 785, 285, 11340, 253, 7832, 270, 3451, 2134, 289, 6727, 3194, 724, 1232, 3753, 270, 340, 19585, 3194, 1109, 326, 30115, 285, 248, 16001, 9067, 375, 2299, 16404, 3603, 270, 2631, 253, 7832, 724, 7906, 255, 344, 4713, 543, 3753, 276, 3603, 289, 253, 1483, 24459, 270, 3206, 253, 3117, 1834, 1870, 4340, 22153, 253, 10220, 1074, 272, 3603, 1834, 1870, 10582, 255, 344, 2650, 1906, 368, 315, 1980, 255, 344, 2898, 2699, 272, 3390, 255, 332, 253, 29000, 7706, 596, 730, 1039, 725, 253, 2732, 314, 4284, 253, 64, 22, 380, 16474, 538, 7733, 1353, 34, 1660, 84, 543, 253, 459, 89, 398, 272, 248, 2111, 3726, 22945, 11071, 272, 15953, 5679, 289, 8684, 467, 21386, 270, 465, 1057, 255, 2154, 272, 253, 2220, 1005, 289, 8736, 536, 1657, 15475, 366, 5395, 26208, 84, 724, 2966, 1305, 480, 5999, 1784, 414, 344, 1403, 1501, 345, 253, 4500, 936, 20749, 255, 344, 1547, 601, 272, 525, 274, 665, 398, 255, 332, 253, 26208, 992, 416, 3024, 66, 724, 632, 19364, 271, 276, 480, 9055, 270, 340, 3418, 11076, 272, 480, 1784, 724, 9140, 13105, 414, 1297, 914, 1822, 26208, 84, 1940, 253, 965, 4499, 2511, 11976, 255, 772, 396, 543, 652, 277, 1156, 15305, 1323, 15601, 433, 253, 6670, 906, 2680, 14153, 289, 375, 1348, 4944, 15439, 270, 5626, 15305, 7154, 1320, 6297, 26208, 84, 1825, 24754, 20241, 289, 8122, 255, 31922, 433, 253, 10842, 423, 780, 1808, 4449, 1144, 453, 253, 9254, 992, 25482, 285, 2846, 335, 1055, 7154, 602, 5084, 4697, 270, 1452, 255, 317, 17601, 7154, 602, 916, 8632, 582, 302, 26208, 84, 255, 27926, 5045, 285, 253, 2254, 1834, 483, 452, 350, 392, 251, 8438, 992, 4233, 270, 600, 1114, 255, 26772, 642, 543, 2215, 393, 2079, 66, 8632, 13028, 276, 248, 15655, 20349, 255, 9269, 276, 253, 2392, 272, 253, 14650, 26208, 84, 1168, 5220, 269, 6031, 271, 453, 253, 8884, 2538, 289, 4881, 13459, 277, 1275, 285, 650, 272, 253, 1825, 4559, 642, 81, 485, 789, 272, 253, 31787, 9055, 314, 600, 5323, 564, 83, 601, 313, 13283, 285, 253, 12985, 1724, 363, 253, 538, 413, 292, 18774, 368, 255, 14719, 564, 83, 6381, 1285, 253, 13064, 4169, 272, 253, 564, 83, 601, 965, 19902, 453, 8460, 22844, 276, 253, 64, 23, 380, 16474, 538, 7733, 9914, 2164, 253, 4502, 255, 66, 309, 9881, 9919, 3035, 13143, 313, 17731, 328, 5290, 5693, 3724, 248, 284, 1564, 271, 6927, 891, 8531, 248, 8545, 4241, 398, 270, 2164, 253, 8786, 313, 248, 2816, 636, 255, 69, 1564, 271, 255, 4990, 13477, 248, 9630, 7864, 270, 27326, 7720, 345, 253, 4265, 272, 253, 564, 83, 601, 696, 21272, 1042, 276, 1782, 28105, 289, 543, 300, 2938, 3814, 366, 1464, 5945, 22574, 255, 4138, 8483, 430, 17654, 272, 696, 359, 15872, 270, 29638, 335, 253, 5395, 7720, 253, 4821, 313, 16588, 289, 276, 248, 6071, 1402, 272, 16950, 270, 6114, 7764, 724, 6943, 285, 326, 785, 363, 259, 13767, 592, 2976, 2024, 255, 332, 20540, 480, 4821, 916, 476, 1509, 248, 11399, 531, 322, 1370, 10462, 861, 341, 543, 253, 1576, 270, 1452, 255, 26722, 253, 4013, 272, 248, 3035, 13143, 255, 3255, 1412, 6142, 986, 253, 1980, 272, 276, 2351, 541, 312, 255, 247, 253, 5924, 5190, 341, 480, 867, 543, 6035, 285, 18997, 1372, 255, 1297, 3139, 15, 1, 355, 3030, 8984, 2344, 538, 7109, 414, 46, 25407, 289, 253, 3348, 15603, 329, 417, 377, 272, 253, 14952, 289, 8568, 186, 355, 52, 7893, 20483, 578, 355, 3030, 8984, 2344, 253, 2268, 414, 3449, 22671, 1143, 345, 253, 18533, 2144, 14952, 186, 355, 12429, 20966, 578, 355, 52, 3707, 2125, 255, 1173, 29394, 186, 355, 26031, 335, 253, 6916, 781, 289, 253, 8321, 2206, 714, 255, 6076, 272, 14148, 186, 355, 11246, 272, 29533, 578, 355, 40, 426, 261, 14875, 255, 13073, 186, 355, 15590, 12894, 578, 355, 4636, 253, 2560, 64, 5446, 1233, 255, 344, 10838, 289, 10270, 476, 838, 31317, 5696, 433, 2084, 272, 9481, 255, 9136, 390, 255, 332, 556, 2202, 289, 13637, 276, 3159, 10644, 270, 9836, 620, 1940, 6807, 22381, 1502, 289, 1494, 83, 6362, 453, 16790, 9777, 3479, 255, 2003, 2247, 3897, 476, 11186, 285, 8718, 3068, 596, 276, 1701, 2862, 289, 6165, 248, 12619, 345, 8665, 2491, 289, 1936, 270, 465, 480, 4482, 255, 20381, 270, 52, 3707, 2125, 12861, 341, 8751, 31565, 359, 276, 248, 3145, 2495, 285, 718, 363, 27682, 276, 8060, 755, 871, 1825, 3080, 272, 10216, 2307, 276, 1460, 285, 300, 1542, 264, 10134, 289, 1391, 986, 2554, 255, 2003, 448, 253, 1112, 720, 13459, 892, 1936, 272, 2010, 2413, 721, 5894, 314, 355, 1173, 29394, 393, 3707, 2125, 4707, 1055, 525, 15, 16309, 270, 247, 27211, 985, 448, 253, 2268, 272, 20786, 276, 64, 971, 19, 270, 1682, 4733, 9135, 363, 15480, 272, 253, 14061, 272, 27211, 985, 448, 253, 2268, 272, 5163, 17947, 255, 55, 1963, 278, 346, 255, 332, 10587, 272, 27211, 985, 289, 3044, 75, 7269, 10587, 272, 9117, 6248, 255, 17096, 17425, 289, 9601, 448, 253, 1112, 7087, 270, 30995, 423, 543, 14222, 272, 22601, 454, 255, 6660, 255, 332, 6639, 448, 253, 610, 2277, 317, 260, 14061, 276, 10839, 270, 5626, 1251, 6417, 1684, 453, 7148, 16468, 272, 30295, 285, 253, 26358, 272, 8904, 2579, 9117, 721, 7106, 13324, 270, 1682, 620, 16041, 1547, 14061, 272, 27211, 985, 448, 253, 2268, 272, 5163, 17947, 356, 971, 26, 255, 1229, 14221, 516, 270, 6343, 254, 823, 18592, 626, 414, 25322, 454, 272, 15827, 289, 13385, 356, 971, 18, 823, 18592, 626, 414, 19028, 289, 1048, 10722, 356, 971, 18, 823, 332, 248, 966, 272, 5664, 345, 11658, 276, 23114, 13674, 6956, 292, 289, 281, 2120, 1525, 2439, 314, 355, 600, 3057, 272, 18089, 18771, 313, 897, 7824, 722, 2166, 433, 253, 706, 39, 5162, 335, 253, 6916, 781, 289, 253, 8321, 2206, 714, 356, 51, 855, 1885, 10169, 324, 377, 823, 344, 8176, 79, 516, 1764, 290, 8732, 25421, 276, 9117, 6248, 5746, 255, 344, 706, 39, 24348, 626, 5746, 255, 344, 25664, 608, 11686, 25421, 276, 8769, 6248, 448, 706, 39, 255, 344, 706, 39, 5738, 5162, 255, 344, 706, 39, 10673, 272, 3818, 255, 54, 39, 7724, 272, 18533, 2144, 14952, 289, 8568, 255, 344, 706, 39, 5162, 335, 8769, 8653, 255, 344, 706, 39, 599, 11770, 255, 344, 706, 39, 7724, 272, 8321, 3548, 289, 3548, 1369, 4589, 454, 255, 344, 706, 39, 9142, 6932, 11790, 3818, 4975, 255, 344, 8773, 2938, 289, 400, 279, 74, 17199, 10169, 324, 377, 335, 14148, 30342, 985, 255, 344, 706, 39, 6454, 272, 6248, 255, 344, 706, 39, 6454, 272, 5468, 752, 255, 344, 706, 39, 5902, 2579, 8653, 5746, 255, 344, 706, 39, 5162, 335, 16533, 554, 8653, 289, 608, 3274, 3818, 255, 54, 39, 7724, 272, 7484, 255, 31237, 289, 18904, 255, 332, 253, 2489, 563, 11593, 13661, 10501, 18787, 314, 355, 10869, 1048, 5570, 578, 355, 6076, 272, 14148, 186, 355, 41, 14420, 29548, 578, 355, 6076, 272, 14148, 186, 355, 51, 3306, 5911, 578, 355, 2281, 3352, 13758, 433, 253, 2300, 7087, 314, 355, 11024, 6836, 27, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30069, 8096, 435, 52, 9679, 28574, 414, 34, 2202, 14, 22838, 3234, 3714, 248, 9588, 813, 7223, 366, 277, 17613, 3458, 29831, 289, 4559, 9654, 632, 13702, 642, 335, 253, 21207, 285, 1940, 4499, 31933, 276, 253, 7378, 9113, 1280, 270, 600, 313, 797, 58, 622, 268, 276, 26725, 2106, 66, 2476, 403, 90, 3057, 272, 13425, 627, 10890, 862, 721, 248, 4588, 1175, 7852, 1098, 2344, 2264, 255, 1529, 651, 74, 1834, 74, 289, 991, 4411, 2641, 517, 285, 1879, 248, 3145, 3327, 1441, 341, 255, 16994, 271, 276, 253, 338, 983, 255, 87, 2739, 417, 17259, 255, 262, 1213, 29236, 335, 253, 13917, 289, 3593, 4113, 389, 3275, 6183, 71, 1064, 599, 22193, 802, 262, 248, 4943, 2133, 341, 896, 2716, 285, 1718, 1392, 289, 4499, 6435, 276, 253, 3269, 10763, 325, 7000, 276, 253, 608, 2203, 350, 260, 992, 16190, 270, 6341, 4588, 5188, 1187, 1311, 366, 3039, 1503, 865, 3650, 2913, 3338, 253, 3327, 272, 17399, 286, 255, 66, 3406, 28081, 891, 313, 5967, 285, 23007, 253, 6129, 7425, 285, 1012, 1392, 366, 1055, 9557, 12142, 12938, 12649, 23007, 1408, 285, 470, 889, 84, 255, 8911, 911, 18170, 2859, 9, 3623, 406, 22453, 553, 393, 4189, 265, 802, 1191, 391, 1591, 393, 589, 72, 286, 608, 251, 91, 7439, 286, 91, 255, 344, 16190, 554, 22820, 274, 255, 10385, 8273, 721, 253, 9616, 454, 276, 253, 1716, 4991, 1408, 285, 8985, 248, 5685, 2658, 3139, 289, 248, 13674, 6247, 378, 250, 844, 1654, 8388, 2906, 2867, 1485, 1694, 2003, 248, 892, 1280, 313, 6757, 276, 4502, 272, 1408, 3938, 314, 25361, 462, 4129, 38, 8096, 414, 40, 350, 4585, 66, 255, 4629, 1724, 363, 452, 378, 6057, 542, 247, 898, 255, 262, 277, 12985, 289, 10074, 453, 12053, 270, 31108, 725, 255, 249, 21491, 248, 5867, 1603, 255, 822, 6297, 2327, 277, 6344, 272, 253, 5867, 3479, 289, 253, 1741, 341, 253, 5990, 261, 32522, 247, 3832, 261, 2871, 276, 253, 3479, 270, 5626, 6417, 289, 4257, 354, 515, 276, 253, 6996, 2035, 359, 2692, 5343, 4978, 289, 6519, 414, 53, 553, 26263, 462, 3073, 76, 12411, 255, 39, 3273, 7873, 613, 3661, 91, 29634, 255, 41, 322, 308, 14182, 462, 17711, 2130, 18917, 255, 7860, 20568, 2125, 255, 41, 8898, 1028, 23654, 14094, 255, 12341, 599, 1918, 329, 255, 7083, 373, 262, 402, 393, 1154, 255, 30378, 18917, 2912, 2899, 255, 14351, 87, 16282, 525, 13185, 255, 69, 4819, 4626, 30032, 255, 332, 1350, 1028, 1274, 70, 7453, 2404, 2307, 285, 930, 2120, 608, 350, 4585, 66, 554, 867, 270, 1452, 255, 7960, 1182, 515, 652, 28833, 1055, 1395, 20145, 13643, 292, 397, 289, 12885, 24741, 345, 253, 7144, 734, 547, 3647, 877, 13215, 260, 1096, 289, 17703, 366, 1055, 6646, 335, 3037, 1440, 270, 18170, 255, 2003, 8533, 433, 253, 26149, 423, 12466, 2214, 255, 7960, 16480, 313, 652, 20580, 276, 1199, 1829, 3178, 255, 1901, 253, 13425, 627, 2672, 341, 9115, 6266, 608, 350, 4585, 66, 270, 2986, 253, 1646, 454, 272, 1572, 722, 846, 5201, 1591, 30967, 3805, 4356, 7013, 341, 423, 965, 4755, 1253, 1285, 21305, 433, 20253, 363, 248, 933, 1894, 20161, 5433, 335, 64, 728, 3417, 289, 1168, 461, 20710, 3697, 2790, 314, 14691, 58, 14996, 655, 38, 400, 22250, 414, 14263, 341, 990, 19197, 556, 615, 258, 308, 5125, 760, 409, 326, 1358, 25671, 544, 414, 4922, 632, 255, 2752, 536, 905, 1412, 3748, 453, 2247, 313, 20370, 255, 66, 12434, 272, 18501, 255, 18543, 1350, 248, 1829, 10684, 1285, 17504, 844, 248, 4799, 270, 1507, 6484, 1197, 21858, 1202, 652, 277, 2521, 3038, 32, 797, 58, 622, 268, 276, 26725, 802, 3489, 396, 276, 7036, 1416, 270, 1696, 1894, 608, 350, 4585, 66, 1560, 326, 24988, 272, 1285, 248, 3783, 1798, 1571, 10290, 255, 344, 615, 258, 308, 16959, 2260, 652, 19927, 253, 1754, 277, 637, 3244, 420, 2067, 4392, 390, 270, 340, 9279, 9959, 272, 1967, 3604, 1412, 6963, 253, 6881, 272, 253, 9587, 289, 3560, 253, 9524, 272, 811, 396, 672, 32512, 285, 248, 1661, 3607, 270, 1452, 255, 3106, 797, 58, 622, 268, 276, 26725, 802, 8611, 79, 1197, 1025, 818, 3863, 255, 264, 6666, 253, 1773, 285, 565, 78, 417, 286, 4906, 650, 8223, 289, 1232, 13459, 396, 1329, 2307, 1562, 270, 340, 6180, 10149, 369, 453, 24455, 31348, 272, 2913, 285, 615, 258, 308, 16959, 20271, 272, 18307, 453, 696, 650, 409, 2983, 336, 367, 3368, 255, 263, 9281, 15278, 255, 24686, 3218, 965, 270, 20799, 797, 9, 3623, 406, 22453, 553, 393, 4189, 265, 802, 262, 248, 5611, 285, 248, 4081, 1834, 572, 10267, 1154, 3234, 2859, 6183, 71, 1064, 599, 22193, 802, 445, 88, 28595, 7908, 255, 1901, 248, 1231, 255, 1529, 253, 6765, 272, 253, 13828, 1012, 27494, 289, 705, 582, 253, 7189, 650, 3748, 84, 453, 253, 5624, 270, 600, 313, 7435, 905, 20672, 276, 17399, 286, 554, 4236, 3327, 366, 608, 6072, 260, 255, 822, 10149, 717, 453, 23815, 363, 19889, 285, 399, 413, 16133, 813, 285, 3518, 9628, 272, 253, 612, 285, 800, 16863, 312, 882, 248, 32458, 851, 270, 40, 350, 4585, 66, 554, 5470, 672, 6808, 285, 326, 444, 19576, 255, 6415, 19401, 1350, 270, 13646, 255, 344, 22381, 562, 272, 16754, 272, 253, 10902, 313, 10672, 904, 2829, 713, 285, 3272, 253, 29000, 3225, 431, 6816, 90, 272, 904, 849, 8665, 255, 2557, 1503, 90, 14527, 992, 3457, 3337, 335, 5853, 255, 5248, 1100, 390, 255, 332, 1114, 268, 270, 1452, 255, 2752, 554, 905, 1156, 255, 264, 313, 461, 248, 309, 11236, 307, 386, 867, 649, 8980, 255, 17008, 300, 3398, 25101, 253, 6453, 255, 12743, 255, 292, 861, 433, 15218, 255, 247, 694, 268, 5845, 1224, 9446, 1365, 1168, 3022, 3668, 314, 14691, 58, 23958, 22106, 3248, 10038, 16066, 4129, 414, 673, 554, 461, 4742, 2247, 255, 24685, 313, 396, 248, 14407, 2133, 255, 772, 248, 10133, 272, 253, 871, 5406, 84, 930, 3710, 366, 2925, 2672, 311, 413, 255, 822, 2434, 277, 2002, 9388, 818, 612, 414, 66, 991, 8575, 946, 31569, 2133, 289, 248, 2476, 403, 90, 2247, 16322, 30569, 721, 650, 289, 894, 5508, 19455, 882, 248, 9049, 69, 264, 2066, 11502, 270, 7685, 799, 360, 724, 248, 5321, 289, 1109, 4034, 831, 248, 2753, 6129, 453, 1314, 5201, 448, 277, 4703, 4916, 366, 248, 29025, 2450, 272, 18501, 289, 7743, 32, 797, 58, 622, 268, 276, 26725, 802, 4568, 19297, 248, 2011, 2505, 272, 2669, 335, 253, 5372, 6453, 433, 8870, 713, 285, 3801, 2572, 285, 18959, 1329, 289, 873, 2712, 366, 253, 1893, 272, 253, 9587, 375, 285, 3649, 31074, 289, 873, 1329, 289, 30166, 12228, 253, 11734, 19291, 270, 1696, 1894, 253, 7483, 1560, 326, 11216, 255, 344, 2133, 896, 2716, 253, 6453, 461, 285, 326, 32726, 1175, 693, 556, 1395, 13917, 276, 13138, 253, 5141, 366, 2699, 255, 1529, 253, 2627, 914, 10353, 2512, 1400, 7456, 285, 870, 366, 248, 7660, 270, 1065, 1900, 448, 253, 19471, 255, 1269, 253, 7737, 1771, 255, 332, 276, 797, 6183, 71, 1064, 599, 22193, 802, 505, 7744, 285, 21993, 276, 285, 248, 1829, 5044, 285, 14215, 973, 9723, 1694, 263, 276, 253, 1576, 272, 797, 9, 3623, 406, 28310, 393, 4189, 553, 2106, 66, 3458, 29831, 313, 7163, 335, 253, 2753, 2133, 270, 340, 30545, 4133, 2966, 4652, 277, 637, 1411, 3453, 1144, 8418, 721, 608, 350, 4585, 66, 554, 4588, 13917, 255, 1529, 1314, 317, 1969, 261, 272, 2343, 255, 8984, 386, 5853, 15484, 366, 256, 1764, 555, 17364, 14527, 992, 29734, 18025, 272, 248, 2264, 289, 771, 573, 417, 1898, 2858, 272, 811, 253, 3518, 1208, 272, 5894, 289, 8428, 13430, 471, 345, 253, 2152, 341, 461, 5212, 409, 8577, 270, 5078, 1508, 396, 1560, 3574, 341, 253, 6875, 1168, 838, 5083, 255, 772, 253, 769, 290, 1526, 2627, 10892, 892, 2192, 285, 930, 2120, 3368, 721, 253, 298, 12184, 7584, 27867, 272, 1055, 3257, 90, 255, 71, 529, 1221, 751, 255, 1827, 32655, 21254, 19666, 255, 332, 11057, 867, 270, 40, 350, 4585, 66, 289, 1055, 867, 1560, 2141, 29350, 322, 751, 255, 2470, 861, 360, 2023, 713, 1655, 277, 1994, 2605, 270, 1507, 861, 360, 8291, 17204, 904, 554, 345, 3703, 255, 264, 409, 1940, 277, 10566, 366, 248, 5141, 341, 554, 9388, 4599, 360, 8388, 2867, 1485, 314, 6739, 596, 345, 608, 350, 4585, 66, 554, 4259, 314, 974, 596, 2143, 844, 480, 968, 725, 335, 849, 14844, 27743, 1, 437, 742, 14362, 17457, 576, 736, 699, 1338, 4527, 786, 4632, 2480, 28398, 31212, 1279, 14262, 429, 9792, 836, 429, 5102, 2840, 429, 372, 742, 14362, 879, 2480, 28398, 5496, 16082, 26511, 1669, 19627, 12563, 1543, 1445, 429, 8885, 1287, 4136, 11363, 26511, 940, 11839, 30887, 4227, 1362, 923, 1543, 1445, 520, 26511, 520, 32498, 21028, 11997, 2099, 429, 961, 437, 742, 14362, 11119, 429, 1669, 26791, 15347, 1669, 2262, 3375, 520, 26511, 3098, 13595, 1556, 520, 8013, 911, 18100, 4083, 21768, 18227, 961, 437, 742, 14362, 26791, 4132, 280, 739, 1816, 1193, 15687, 7047, 11820, 1002, 2190, 11631, 15597, 466, 2715, 14, 11569, 590, 5256, 4782, 6220, 2190, 940, 4234, 520, 14361, 3375, 14041, 12286, 3098, 588, 17374, 576, 19944, 2016, 12494, 10820, 5391, 2359, 2866, 1752, 15096, 17547, 692, 32403, 1193, 11631, 1002, 2320, 31208, 15393, 429, 1108, 4234, 466, 3993, 856, 1287, 618, 27474, 22333, 692, 940, 429, 439, 18776, 940, 14361, 3098, 22333, 19696, 923, 11066, 557, 421, 1793, 2720, 669, 1389, 1193, 4848, 961, 404, 404, 4455, 1614, 2942, 739, 14292, 1669, 520, 506, 4732, 7315, 25678, 15891, 669, 7836, 1193, 6020, 4527, 961, 437, 742, 14362, 12521, 557, 3467, 856, 1193, 1108, 557, 5102, 1739, 911, 18645, 22333, 546, 669, 1556, 1362, 836, 429, 5631, 2670, 19487, 22333, 429, 2311, 10448, 1051, 14286, 940, 464, 3332, 266, 1193, 4848, 2170, 3947, 14286, 9521, 994, 522, 644, 2977, 1166, 2170, 439, 27901, 1856, 362, 1210, 576, 940, 5714, 4142, 6566, 1037, 2942, 447, 2942, 10785, 16619, 2170, 439, 540, 3890, 1389, 421, 11703, 940, 2359, 1097, 5221, 2100, 11321, 576, 590, 1008, 1786, 1279, 5269, 899, 2170, 439, 4136, 4227, 4316, 16017, 22333, 546, 669, 1556, 1362, 836, 429, 961, 2480, 28398, 1926, 9, 404, 3684, 1493, 1155, 1490, 280, 406, 540, 6268, 692, 940, 1669, 4316, 1287, 10119, 16469, 429, 27100, 266, 2720, 3618, 2314, 1108, 4234, 466, 4781, 429, 32043, 3947, 2314, 588, 17374, 576, 4781, 429, 4403, 8395, 940, 3168, 26511, 3316, 4135, 8228, 1193, 11318, 404, 2244, 2720, 4316, 618, 14134, 466, 429, 32043, 6184, 2720, 940, 4083, 498, 3987, 283, 2170, 11363, 684, 1108, 4234, 520, 4823, 3532, 16487, 1279, 15416, 684, 11061, 1307, 429, 439, 540, 6268, 940, 10709, 4234, 576, 440, 3890, 266, 3447, 2170, 4964, 492, 609, 1235, 297, 2454, 684, 440, 6268, 466, 975, 5310, 4222, 3133, 439, 283, 609, 1235, 297, 16082, 22333, 429, 1669, 440, 6268, 940, 1669, 11363, 22333, 429, 961, 2651, 24620, 7068, 26511, 492, 10526, 557, 520, 17189, 15687, 429, 15, 13152, 1931, 27100, 266, 703, 28398, 520, 25040, 576, 31768, 1598, 520, 8945, 466, 5030, 1279, 5269, 557, 9569, 684, 1226, 12699, 492, 609, 1235, 297, 940, 31212, 1279, 27100, 266, 24720, 404, 4455, 576, 590, 1008, 17393, 429, 9914, 3172, 5345, 18052, 16991, 9792, 1166, 429, 869, 5102, 3487, 27100, 266, 879, 437, 1598, 266, 618, 280, 2320, 11321, 4316, 19627, 940, 27100, 266, 2004, 1445, 429, 961, 283, 609, 1235, 297, 11321, 520, 8501, 11601, 2190, 3045, 372, 1665, 385, 9369, 26511, 447, 911, 22397, 1287, 10506, 429, 15930, 11839, 30887, 546, 10050, 440, 27784, 4142, 7867, 3297, 1490, 280, 4781, 15898, 684, 6184, 283, 940, 16082, 10918, 692, 429, 961, 2480, 28398, 429, 14532, 296, 2435, 3876, 18515, 1669, 6841, 2454, 5156, 26511, 11363, 429, 684, 14179, 8501, 576, 4817, 2435, 3876, 18515, 590, 23094, 22333, 5872, 1002, 1287, 21768, 576, 663, 3333, 385, 8100, 1166, 429, 520, 24620, 440, 6268, 940, 11863, 15687, 429, 961, 540, 16501, 684, 22333, 2715, 13166, 1727, 404, 2839, 14890, 786, 16339, 13308, 4083, 2310, 4848, 429, 439, 10614, 9708, 421, 1793, 1051, 14361, 684, 22333, 3375, 520, 11135, 1669, 3375, 520, 628, 5578, 296, 684, 3375, 520, 2973, 508, 30657, 1043, 5975, 429, 961, 609, 12399, 21562, 16361, 12556, 19696, 923, 15687, 27559, 869, 4135, 4964, 576, 14361, 684, 22333, 14890, 32725, 546, 4083, 4491, 4791, 3751, 16889, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3623, 15749, 366, 1172, 1634, 1184, 12833, 345, 13353, 355, 332, 1402, 2039, 332, 483, 3642, 6253, 332, 1253, 8930, 23312, 3067, 433, 8486, 289, 5506, 6253, 344, 4884, 5169, 10031, 4274, 7152, 253, 21423, 12516, 17952, 5819, 7995, 356, 4630, 53, 406, 11581, 29437, 276, 253, 64, 971, 23, 16, 7638, 1603, 935, 270, 4630, 53, 620, 2790, 1940, 277, 8077, 657, 272, 253, 1603, 1600, 255, 1529, 1172, 4475, 277, 3232, 64, 2157, 3417, 272, 1360, 5587, 276, 783, 4438, 4988, 5187, 844, 2926, 289, 3750, 255, 332, 64, 2857, 3417, 272, 1344, 1143, 276, 10838, 255, 1201, 2780, 289, 4381, 255, 332, 612, 25177, 2292, 314, 465, 1460, 285, 13225, 253, 3185, 272, 15521, 53, 335, 1172, 255, 42, 8709, 335, 2192, 285, 6071, 21993, 1249, 2023, 285, 3663, 29786, 1524, 276, 1249, 2926, 1952, 10838, 4717, 270, 2080, 272, 253, 14942, 2837, 341, 4095, 84, 1249, 2023, 285, 3663, 29786, 1524, 313, 253, 7563, 391, 289, 655, 747, 391, 26231, 270, 600, 2023, 10970, 1199, 5889, 276, 25680, 15521, 53, 314, 4731, 391, 289, 655, 747, 391, 26231, 414, 1173, 24056, 265, 8231, 186, 340, 11874, 1222, 335, 2926, 5587, 5632, 366, 277, 7064, 64, 2157, 3417, 272, 15521, 53, 1360, 335, 1249, 15474, 1172, 2421, 277, 6595, 6525, 4260, 285, 1437, 289, 2584, 29786, 5587, 276, 1249, 1247, 270, 4731, 391, 289, 655, 747, 391, 26231, 313, 277, 14942, 1222, 341, 8197, 345, 1172, 363, 7621, 255, 292, 1020, 363, 6925, 289, 10603, 276, 2439, 270, 1130, 6925, 289, 10603, 255, 6351, 359, 8962, 2166, 255, 8816, 276, 248, 17859, 289, 13032, 1632, 366, 556, 29378, 345, 6794, 10203, 7951, 270, 1132, 313, 277, 9875, 2873, 4414, 5491, 4605, 366, 480, 14942, 6427, 746, 341, 2845, 253, 1387, 11153, 578, 18, 270, 7844, 74, 14, 1526, 251, 356, 728, 14, 1204, 3417, 680, 600, 3813, 4704, 248, 3967, 8320, 248, 2873, 375, 2697, 4199, 335, 253, 1172, 285, 2439, 270, 673, 1109, 652, 5185, 248, 953, 2485, 1657, 1045, 864, 12101, 721, 1172, 1634, 19952, 2010, 270, 4611, 1560, 1817, 248, 22237, 1591, 248, 1661, 4199, 341, 253, 3967, 1168, 20650, 5105, 6253, 263, 582, 277, 2057, 285, 1200, 904, 640, 17358, 272, 253, 1600, 709, 5347, 1683, 4181, 248, 248, 3146, 5347, 1437, 356, 13266, 4264, 680, 19, 270, 7318, 4243, 375, 4726, 2553, 2439, 356, 2055, 14, 2950, 3417, 680, 600, 313, 248, 2553, 867, 720, 20635, 335, 16970, 253, 20650, 4199, 270, 4284, 480, 3813, 253, 3967, 20684, 717, 253, 4179, 28930, 2341, 366, 2786, 289, 1324, 2424, 270, 1682, 3337, 5593, 255, 19877, 15959, 10677, 255, 332, 2421, 650, 8604, 15045, 1360, 285, 15474, 7621, 314, 20, 270, 5899, 2231, 356, 22, 14, 728, 3417, 680, 600, 3813, 2829, 253, 2753, 1247, 285, 894, 1073, 289, 2429, 253, 5347, 7210, 255, 22271, 1524, 255, 332, 3272, 345, 904, 6796, 375, 1822, 461, 867, 314, 340, 11874, 1222, 2421, 335, 1213, 4726, 289, 13032, 1524, 255, 332, 4133, 17606, 391, 2553, 13221, 272, 253, 1524, 901, 270, 600, 2023, 8329, 19914, 248, 2553, 21906, 2023, 285, 1524, 314, 3030, 2337, 5530, 23903, 3580, 276, 253, 516, 10013, 20867, 186, 1130, 248, 4739, 1603, 516, 10013, 3967, 255, 42, 3937, 285, 22626, 366, 1249, 12577, 276, 253, 3519, 289, 2348, 253, 1603, 13353, 270, 42, 8702, 276, 4829, 289, 12452, 5587, 255, 247, 10881, 2566, 1996, 255, 332, 13032, 22531, 289, 1524, 270, 1294, 2292, 476, 2843, 585, 366, 248, 22763, 864, 572, 272, 1251, 2566, 1763, 3897, 285, 6435, 253, 6925, 289, 10603, 276, 1249, 516, 10013, 4717, 270, 42, 5304, 2172, 4438, 516, 10013, 5187, 25331, 882, 24031, 255, 332, 650, 1360, 516, 10013, 1247, 25331, 882, 2905, 23320, 270, 5397, 272, 1249, 4438, 5187, 359, 11932, 255, 1229, 248, 3704, 272, 253, 1172, 276, 973, 345, 1430, 2356, 6191, 356, 42, 6949, 795, 42, 897, 14, 668, 563, 366, 248, 12990, 891, 6967, 253, 1172, 345, 532, 6949, 270, 340, 12990, 289, 532, 652, 1437, 5587, 285, 2737, 341, 632, 1172, 359, 1865, 285, 4881, 1809, 253, 5940, 270, 959, 1552, 8805, 2806, 20231, 289, 12156, 5587, 285, 2969, 5212, 709, 2129, 270, 2968, 5587, 313, 5923, 345, 3519, 338, 353, 2567, 276, 2873, 289, 2697, 285, 2856, 3074, 24519, 289, 1372, 20723, 7621, 270, 959, 693, 253, 1387, 3671, 578, 18, 270, 20291, 4726, 2873, 186, 3295, 253, 965, 1600, 272, 1603, 255, 581, 6165, 1172, 285, 3801, 253, 4368, 640, 1179, 270, 959, 1222, 811, 285, 3801, 289, 2429, 248, 2133, 335, 2873, 270, 959, 652, 6165, 1172, 285, 3801, 4368, 448, 556, 4726, 2873, 1115, 3191, 730, 448, 556, 23911, 375, 2261, 1115, 270, 4611, 1179, 335, 64, 1428, 3417, 3821, 289, 2103, 277, 7073, 345, 253, 2873, 1683, 4181, 3146, 2873, 2084, 356, 13266, 4264, 406, 4611, 359, 461, 914, 13420, 556, 2010, 363, 1415, 6925, 255, 1449, 359, 652, 3519, 2873, 338, 353, 2567, 314, 19, 270, 9282, 1393, 12807, 2873, 289, 2697, 5587, 186, 13123, 4175, 341, 359, 1393, 12807, 1683, 4181, 248, 3146, 5347, 1437, 10208, 356, 13266, 4264, 406, 6531, 248, 1774, 375, 277, 2521, 1949, 341, 5587, 14453, 285, 2241, 276, 253, 3154, 270, 673, 939, 1940, 253, 24613, 8212, 272, 5587, 255, 6317, 8870, 335, 23866, 270, 4611, 1940, 10989, 799, 640, 812, 253, 14942, 7210, 289, 1524, 6296, 314, 20, 270, 3734, 14, 11227, 289, 621, 4414, 5491, 3671, 186, 10168, 2120, 621, 14, 11227, 289, 621, 4414, 5491, 3671, 285, 1817, 22237, 6198, 1099, 532, 812, 255, 2752, 532, 1599, 285, 812, 255, 332, 904, 532, 5704, 7225, 44, 56, 45, 823, 23785, 4414, 26109, 255, 332, 9036, 2292, 1485, 2873, 289, 2697, 359, 1199, 3059, 335, 244, 5483, 721, 1172, 1634, 19952, 2010, 289, 2576, 6860, 276, 1524, 270, 20257, 4414, 26109, 652, 1552, 6595, 6693, 3303, 335, 2697, 270, 11003, 332, 1172, 1634, 2787, 4072, 433, 15206, 268, 1771, 9036, 1485, 2873, 289, 4558, 4612, 335, 1172, 285, 1140, 448, 2082, 1464, 2914, 20554, 335, 23239, 1909, 314, 21, 270, 13631, 3368, 186, 12719, 5587, 276, 3012, 2873, 3671, 1018, 22499, 3663, 2439, 341, 2845, 19567, 255, 17721, 2344, 255, 17551, 268, 255, 537, 282, 4371, 255, 332, 9433, 2344, 270, 1130, 1172, 6514, 755, 3671, 255, 3980, 713, 1179, 276, 1324, 2424, 272, 1464, 375, 2172, 255, 1532, 2482, 253, 3671, 285, 556, 15141, 270, 4611, 939, 326, 11031, 285, 17588, 7715, 270, 1130, 640, 5879, 366, 253, 1771, 255, 1449, 359, 2576, 3368, 289, 18861, 268, 253, 1771, 314, 22, 270, 11183, 29644, 186, 25042, 1172, 285, 1711, 375, 5636, 1771, 335, 1266, 3303, 289, 652, 335, 5202, 285, 1661, 2084, 270, 11183, 29644, 313, 277, 6595, 1135, 285, 1039, 3368, 289, 1552, 2589, 285, 1360, 5202, 314, 23, 270, 8789, 1771, 2566, 2589, 2084, 186, 30975, 1172, 285, 1552, 1661, 2589, 285, 1360, 556, 5202, 270, 3193, 244, 8493, 455, 15038, 1327, 10921, 285, 476, 713, 2595, 1661, 3194, 453, 248, 1771, 289, 2863, 556, 6793, 697, 253, 3194, 314, 24, 270, 2698, 1098, 316, 1172, 276, 253, 19326, 186, 12719, 8382, 4830, 6253, 623, 285, 871, 4490, 6253, 475, 1172, 285, 6422, 1771, 3041, 289, 3874, 255, 332, 285, 1179, 289, 1636, 453, 29378, 7951, 289, 4411, 1485, 2697, 314, 25, 270, 12719, 3910, 335, 2697, 186, 1130, 1172, 6422, 29378, 7951, 276, 556, 2873, 255, 14792, 248, 3251, 272, 2697, 4903, 335, 713, 285, 1636, 453, 270, 25042, 248, 3251, 272, 27274, 270, 20291, 1524, 289, 16970, 253, 9054, 272, 4220, 882, 8320, 255, 898, 1842, 2341, 255, 332, 8284, 314, 26, 270, 29168, 289, 4113, 186, 25042, 3671, 341, 16590, 1780, 289, 7739, 6253, 979, 6778, 2627, 10702, 289, 693, 272, 1952, 882, 23817, 289, 6176, 334, 729, 1780, 285, 1012, 3368, 453, 1771, 314, 42, 4079, 480, 1222, 285, 15521, 53, 433, 2552, 366, 4214, 7429, 248, 1600, 270, 465, 253, 8347, 1247, 255, 264, 313, 15962, 5940, 12807, 649, 6351, 359, 1018, 253, 11874, 363, 248, 1633, 285, 556, 1395, 1524, 270, 465, 253, 22529, 255, 42, 4359, 713, 285, 870, 1011, 24922, 253, 2335, 640, 777, 285, 2022, 556, 14043, 314, 6531, 360, 785, 480, 11874, 1222, 255, 332, 861, 705, 255, 2485, 360, 476, 818, 612, 3164, 335, 811, 14030, 838, 1865, 285, 1430, 986, 5587, 911, 4861, 3412, 818, 2084, 375, 4400, 276, 253, 8308, 3127, 2151, 15, 1, 21446, 5302, 313, 277, 7812, 21505, 335, 253, 14023, 255, 4747, 276, 2377, 272, 253, 3793, 2273, 366, 253, 1480, 289, 6427, 272, 5587, 289, 253, 5017, 1306, 4275, 2634, 453, 867, 270, 3091, 7812, 255, 2160, 255, 262, 253, 1770, 272, 5083, 2372, 2033, 285, 4256, 1019, 8030, 2624, 289, 2955, 10148, 433, 637, 7721, 3357, 5302, 314, 2148, 414, 43, 1532, 13223, 393, 707, 74, 186, 340, 4706, 1515, 335, 4563, 313, 341, 2799, 9006, 1349, 2022, 8625, 2274, 270, 21446, 409, 326, 248, 1737, 15399, 255, 2470, 861, 253, 4513, 2904, 2136, 272, 8994, 270, 340, 965, 1757, 276, 253, 901, 272, 10440, 253, 11943, 252, 10053, 289, 6899, 272, 2799, 313, 277, 29891, 777, 1780, 901, 270, 600, 901, 7653, 5734, 29891, 7210, 289, 253, 5619, 1115, 272, 2274, 270, 17198, 84, 1780, 313, 248, 1354, 901, 276, 905, 14023, 270, 34, 6302, 2429, 272, 253, 2147, 901, 313, 2843, 1868, 285, 1031, 253, 7660, 1250, 314, 2655, 282, 1259, 253, 3443, 272, 2799, 2129, 1780, 314, 340, 2129, 30917, 7783, 253, 3844, 375, 1619, 5594, 285, 8636, 289, 1232, 11595, 253, 7210, 272, 253, 1190, 270, 340, 3443, 272, 253, 2429, 672, 326, 363, 3708, 363, 277, 4130, 14375, 5415, 272, 248, 4199, 375, 363, 7573, 363, 253, 2769, 272, 892, 2325, 276, 248, 7427, 314, 11754, 878, 3178, 289, 4788, 2142, 335, 2799, 2129, 1780, 314, 5657, 2436, 359, 2555, 285, 2762, 253, 1030, 2216, 285, 4054, 4881, 285, 253, 7210, 270, 5657, 3178, 672, 1540, 3989, 2274, 3957, 255, 1396, 4903, 255, 67, 17396, 28518, 1996, 255, 8948, 1481, 12218, 255, 332, 892, 3178, 270, 465, 3159, 14023, 255, 3591, 272, 755, 878, 672, 26095, 276, 29891, 2010, 2374, 1716, 3483, 11853, 289, 500, 4153, 308, 4762, 270, 13772, 335, 14583, 878, 409, 326, 11176, 2067, 363, 637, 868, 85, 7907, 389, 375, 792, 85, 7907, 389, 314, 2208, 868, 85, 7907, 389, 2142, 359, 1288, 341, 582, 461, 4515, 29719, 1267, 5327, 366, 2165, 289, 582, 461, 14324, 6523, 867, 270, 1245, 359, 23683, 289, 4536, 3077, 285, 14690, 270, 6506, 85, 7907, 389, 2142, 2340, 5185, 5327, 366, 1967, 945, 276, 253, 867, 4712, 289, 1409, 720, 2634, 453, 3152, 867, 270, 1294, 2142, 359, 1412, 248, 32162, 2300, 272, 878, 1175, 359, 15655, 289, 720, 24548, 335, 253, 12546, 314, 1173, 1156, 4399, 313, 341, 360, 672, 777, 285, 693, 248, 4069, 272, 1213, 2142, 285, 2774, 248, 596, 8686, 6774, 272, 2799, 3747, 270, 1452, 255, 344, 2808, 272, 253, 2129, 4096, 672, 8857, 369, 650, 1697, 272, 1135, 806, 1750, 270, 12019, 345, 253, 878, 3178, 3919, 255, 66, 4069, 272, 4788, 2142, 844, 12218, 255, 8847, 30623, 255, 2809, 21530, 255, 332, 1939, 2424, 2421, 902, 10741, 335, 8316, 2129, 270, 465, 783, 2162, 255, 1129, 672, 476, 285, 852, 248, 892, 878, 4788, 7231, 844, 248, 5326, 285, 2597, 878, 314, 18592, 255, 5299, 3392, 858, 255, 332, 19602, 253, 878, 314, 340, 2381, 1757, 313, 285, 8279, 878, 453, 248, 3251, 272, 3178, 345, 253, 1557, 1402, 272, 253, 4130, 341, 11801, 285, 253, 7210, 272, 253, 1780, 270, 3811, 878, 4788, 313, 2103, 255, 17513, 253, 1528, 285, 2762, 861, 917, 359, 7668, 375, 3880, 270, 24501, 11435, 375, 1800, 276, 11889, 29891, 7210, 672, 13624, 314, 13938, 253, 4471, 272, 2799, 2129, 1780, 314, 13938, 253, 1528, 272, 253, 1780, 366, 632, 10989, 270, 600, 409, 326, 12994, 276, 248, 6433, 375, 15959, 1119, 270, 2860, 2462, 2829, 2165, 285, 19625, 253, 3634, 4471, 289, 2340, 1528, 276, 248, 26834, 2511, 3057, 272, 7875, 335, 253, 4130, 285, 1999, 270, 2124, 7875, 672, 461, 326, 2799, 2398, 1175, 1349, 326, 5661, 366, 253, 2484, 314, 21446, 2129, 5080, 453, 480, 901, 558, 1552, 248, 2103, 1892, 272, 14530, 2129, 289, 5303, 2799, 6937, 276, 1265, 289, 6427, 4658, 314, 44, 648, 70, 414, 340, 15717, 28998, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]