Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 2451, 267, 1318, 815, 6843, 16000, 267, 6843, 16192, 454, 2018, 6843, 16000, 267, 6843, 16192, 815, 1318, 267, 2451, 454, 2018, 1948, 13127, 371, 355, 31878, 420, 488, 480, 30536, 10429, 486, 24662, 421, 502, 509, 454, 2018, 952, 6843, 16000, 912, 3546, 20313, 6910, 27316, 16000, 994, 2018, 1948, 476, 9463, 367, 31878, 420, 488, 480, 30536, 12571, 492, 24662, 421, 502, 509, 454, 2018, 952, 6843, 16192, 912, 3546, 20313, 6910, 27316, 16192, 994, 1038, 2132, 3597, 454, 0, 258, 8206, 270, 23591, 24800, 270, 7090, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 2278, 8587, 2433, 28001, 1627, 23790, 454, 258, 4757, 11434, 2433, 512, 7776, 336, 339, 287, 21166, 273, 4732, 903, 340, 12975, 6983, 333, 454, 258, 30220, 825, 2433, 476, 1708, 272, 270, 276, 270, 1321, 476, 2420, 281, 1240, 454, 258, 32197, 825, 2433, 3070, 18258, 454, 258, 6609, 2433, 31446, 476, 10482, 13127, 364, 484, 20069, 31365, 12255, 14756, 482, 420, 377, 361, 29004, 351, 20992, 11590, 490, 9463, 487, 418, 494, 506, 27381, 351, 21550, 495, 7531, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 7531, 5035, 8827, 912, 825, 1219, 15044, 26161, 2414, 289, 4306, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 30741, 912, 1038, 5727, 667, 12396, 29185, 1038, 1219, 546, 12028, 263, 3847, 267, 1318, 2187, 2018, 1948, 13127, 377, 497, 2451, 476, 31284, 21550, 485, 27962, 30678, 1318, 476, 31284, 21550, 485, 8147, 13644, 368, 13107, 492, 12255, 14756, 482, 26266, 366, 14756, 493, 421, 479, 491, 31308, 484, 14395, 490, 30006, 499, 8147, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 419, 358, 374, 14756, 497, 30536, 454, 2018, 952, 2451, 3436, 1318, 912, 3546, 2132, 7183, 454, 2018, 1948, 476, 9463, 500, 18809, 25426, 368, 30837, 510, 26266, 355, 7511, 12255, 21211, 30853, 20992, 21550, 373, 14756, 497, 30536, 454, 2018, 1948, 476, 32517, 507, 13644, 479, 30006, 493, 14748, 14756, 497, 30536, 7511, 26266, 355, 9463, 367, 4970, 353, 14748, 31878, 21550, 495, 7511, 421, 360, 502, 18021, 355, 26266, 362, 7511, 14756, 507, 28098, 29219, 21251, 420, 370, 483, 13213, 485, 476, 272, 454, 2018, 4571, 815, 630, 3847, 1341, 1318, 264, 12262, 476, 273, 454, 2018, 3597, 815, 30741, 263, 1998, 284, 333, 4548, 314, 13232, 7481, 2018, 3597, 16000, 815, 546, 12028, 263, 3847, 267, 4571, 910, 476, 272, 994, 2018, 3597, 16192, 815, 546, 12028, 9852, 573, 1341, 476, 272, 267, 1318, 994, 2018, 2132, 3597, 692, 1038, 2132, 546, 12028, 263, 271, 267, 7003, 25225, 264, 910, 476, 272, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6943, 8782, 8127, 7055, 825, 1219, 1858, 4311, 2187, 1038, 21603, 284, 1345, 32324, 265, 1345, 269, 19417, 266, 1345, 9884, 5954, 265, 1345, 269, 19417, 266, 1345, 32324, 265, 1345, 9884, 5954, 454, 1038, 2132, 21603, 265, 273, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5035, 9906, 27456, 3205, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 22561, 267, 2085, 284, 272, 267, 16303, 6889, 5443, 2580, 3446, 284, 271, 2187, 1038, 12287, 14857, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 3023, 994, 1038, 1582, 3052, 8565, 815, 3446, 692, 825, 1219, 546, 19561, 2452, 14813, 334, 4311, 2187, 1038, 12287, 269, 5891, 14813, 334, 4311, 994, 1038, 1820, 834, 14079, 2433, 4939, 268, 736, 323, 257, 4939, 1582, 3052, 8565, 454, 0, 26611, 23591, 24800, 270, 7090, 273, 269, 278, 454, 12163, 19675, 581, 2196, 538, 519, 17835, 609, 519, 11837, 3758, 269, 898, 12958, 519, 32197, 20270, 332, 6260, 6958, 32327, 20731, 336, 11357, 338, 4877, 2125, 563, 12163, 5814, 19523, 454, 2745, 4433, 903, 269, 11437, 9239, 16344, 17575, 815, 6151, 17750, 2891, 11767, 519, 11837, 32197, 538, 1547, 339, 868, 630, 23719, 10137, 2567, 19515, 6358, 6958, 32327, 815, 32197, 1341, 834, 269, 339, 868, 5016, 3698, 11711, 13425, 6600, 333, 2187, 825, 5470, 815, 476, 271, 454, 825, 2119, 912, 1038, 535, 284, 13449, 6600, 333, 2437, 337, 5602, 1038, 1820, 2891, 28062, 513, 3758, 281, 834, 1341, 3403, 6958, 32327, 994, 825, 4849, 594, 302, 13286, 912, 1038, 5470, 815, 476, 272, 454, 1038, 1820, 834, 13286, 281, 11711, 1281, 711, 2408, 547, 2291, 4799, 825, 2132, 5470, 692, 258, 1496, 4905, 4940, 6744, 532, 952, 3758, 2731, 6818, 454, 19587, 815, 11711, 13425, 9272, 6958, 32327, 994, 604, 5470, 2652, 476, 271, 1384, 825, 1948, 1496, 6349, 4940, 14956, 2287, 513, 3758, 267, 2542, 6241, 4408, 910, 2212, 619, 454, 825, 535, 815, 1930, 9272, 6958, 32327, 267, 1412, 337, 5073, 825, 20927, 815, 476, 535, 18667, 1467, 4590, 825, 20927, 815, 20927, 314, 272, 281, 316, 1948, 2057, 519, 1412, 258, 262, 3090, 454, 825, 20927, 815, 476, 20927, 21858, 10797, 825, 1948, 1496, 6734, 4940, 4201, 617, 25018, 532, 3732, 2839, 6241, 2012, 267, 7132, 15603, 519, 3593, 14574, 621, 563, 825, 1820, 27719, 333, 4840, 825, 6700, 318, 3650, 815, 18358, 338, 2217, 573, 3299, 1412, 338, 2217, 16182, 3299, 1412, 573, 3299, 1412, 1749, 2217, 23300, 825, 21483, 815, 11713, 825, 585, 538, 343, 267, 2212, 538, 26246, 263, 3650, 518, 17107, 1038, 952, 2212, 31573, 3890, 538, 6700, 318, 3650, 912, 2018, 1820, 834, 314, 2580, 538, 343, 267, 834, 316, 2580, 3650, 267, 834, 1422, 339, 29146, 29146, 2999, 734, 21909, 539, 4840, 2018, 21483, 815, 1496, 514, 343, 267, 3650, 2639, 1038, 3116, 912, 2018, 1820, 834, 314, 2580, 538, 343, 267, 834, 316, 2580, 3650, 692, 825, 4847, 815, 1496, 328, 585, 1775, 538, 2039, 12759, 263, 3650, 518, 4297, 316, 1948, 9994, 539, 6241, 2338, 692, 7531, 825, 6241, 815, 910, 272, 454, 825, 1247, 630, 26383, 711, 538, 4847, 2187, 1038, 1106, 730, 21803, 815, 1193, 263, 9497, 8923, 1683, 519, 6241, 1297, 602, 6585, 3732, 476, 1749, 269, 1422, 333, 630, 24175, 2248, 539, 6241, 1297, 281, 834, 1341, 1193, 263, 22238, 762, 314, 271, 8079, 1341, 476, 834, 910, 1422, 3269, 1341, 1193, 263, 22238, 762, 314, 272, 8079, 3738, 1341, 834, 264, 1422, 9899, 19515, 1038, 6241, 815, 6151, 17750, 263, 845, 730, 21803, 994, 1038, 2119, 912, 2018, 6241, 815, 703, 263, 26383, 994, 1038, 4849, 28759, 912, 2018, 1820, 2891, 8253, 513, 1297, 32405, 2018, 6241, 815, 910, 272, 692, 1038, 952, 6241, 11203, 21483, 314, 271, 316, 543, 6241, 538, 4847, 912, 2018, 2386, 815, 6151, 17750, 2891, 6701, 596, 2386, 286, 1496, 344, 14672, 13912, 19515, 2018, 952, 2386, 31573, 3890, 2652, 834, 333, 13426, 3546, 6241, 815, 910, 272, 692, 825, 1948, 1496, 6860, 4940, 7335, 5439, 476, 1749, 454, 825, 3732, 296, 1091, 815, 11713, 825, 585, 1899, 538, 535, 18667, 6050, 10031, 1038, 3732, 296, 1091, 6910, 263, 1899, 21858, 28361, 339, 10807, 314, 26383, 316, 25589, 825, 535, 25379, 10797, 825, 1948, 1496, 4962, 4940, 1306, 6362, 585, 840, 30112, 7097, 2012, 454, 825, 9949, 318, 27771, 4067, 815, 834, 303, 760, 5202, 8548, 2222, 6798, 727, 318, 2181, 30112, 4877, 2125, 5016, 825, 9949, 14682, 797, 815, 6151, 17750, 3488, 763, 9949, 2012, 585, 840, 30112, 568, 281, 1422, 333, 1422, 339, 29146, 29146, 29146, 29146, 262, 1341, 9949, 318, 27771, 4067, 1341, 1412, 1422, 333, 1772, 713, 2953, 286, 1496, 344, 14672, 13912, 1422, 339, 5073, 825, 1247, 630, 9949, 14682, 797, 31573, 3890, 711, 538, 18358, 344, 12887, 333, 11172, 3738, 10778, 19930, 9949, 14682, 797, 815, 6151, 17750, 3488, 763, 9949, 2012, 585, 840, 30112, 568, 281, 1422, 333, 1422, 339, 29146, 29146, 29146, 29146, 262, 1341, 9949, 318, 27771, 4067, 1341, 1412, 1422, 333, 1772, 713, 2953, 286, 1496, 344, 14672, 13912, 1422, 339, 17210, 825, 952, 9949, 14682, 797, 2652, 1412, 344, 12466, 1038, 7097, 4067, 815, 9949, 318, 27771, 4067, 454, 825, 3116, 912, 1038, 7097, 4067, 815, 6151, 17750, 2891, 19152, 2012, 540, 519, 7097, 12803, 630, 5976, 10137, 2567, 315, 339, 257, 9239, 825, 1948, 1496, 5400, 4940, 630, 320, 264, 10410, 1518, 3207, 942, 1063, 1142, 10505, 692, 825, 3207, 344, 815, 6151, 17750, 3488, 25898, 596, 899, 513, 23249, 1063, 26446, 1142, 540, 1412, 1341, 1193, 12759, 4433, 2217, 296, 1091, 4297, 1341, 1412, 6009, 547, 519, 12440, 7746, 286, 1496, 344, 14672, 13912, 1422, 339, 5073, 825, 1247, 4433, 2748, 344, 31573, 3890, 711, 538, 18358, 344, 12887, 333, 11172, 2187, 1038, 3207, 344, 815, 6151, 17750, 3488, 25898, 596, 899, 513, 23249, 1063, 26446, 1142, 540, 1412, 1341, 1193, 12759, 4433, 2217, 296, 1091, 4297, 1341, 1412, 6009, 547, 519, 12440, 7746, 286, 1496, 344, 14672, 13912, 1422, 339, 17210, 825, 952, 3207, 344, 31573, 3890, 2652, 1412, 344, 12466, 1038, 8488, 11742, 815, 6151, 17750, 3488, 8923, 14574, 942, 538, 7643, 24097, 339, 17210, 1038, 5470, 284, 271, 454, 1038, 2119, 912, 2018, 8488, 11742, 815, 10581, 5560, 601, 599, 11742, 994, 1038, 4849, 28759, 912, 2018, 1820, 2891, 8253, 513, 1297, 32405, 2018, 5470, 284, 272, 692, 1038, 1247, 263, 19587, 2652, 476, 272, 2187, 2018, 5470, 815, 271, 454, 2018, 8488, 11742, 815, 6151, 17750, 3488, 8923, 14574, 942, 538, 7643, 24097, 339, 5073, 2018, 2119, 912, 3546, 8488, 11742, 815, 10581, 5560, 601, 599, 11742, 994, 2018, 4849, 28759, 912, 3546, 1820, 2891, 8253, 513, 1297, 32405, 3546, 5470, 284, 272, 692, 825, 1948, 1496, 5400, 4940, 630, 321, 264, 10410, 1518, 547, 18178, 562, 2000, 1149, 454, 825, 952, 3207, 344, 31573, 3890, 2652, 1412, 344, 262, 1384, 1038, 18178, 815, 6151, 17750, 3488, 27001, 875, 1082, 3515, 1131, 596, 899, 547, 7696, 3207, 4971, 1496, 272, 268, 262, 1341, 1193, 12759, 4433, 2217, 296, 1091, 9984, 272, 264, 1341, 834, 13912, 315, 339, 257, 12467, 1038, 4847, 20597, 2354, 815, 1496, 328, 585, 1775, 538, 2039, 263, 272, 267, 7003, 4433, 2217, 296, 1091, 264, 3738, 476, 476, 6540, 1038, 5470, 815, 476, 271, 454, 1038, 2119, 912, 2018, 18178, 815, 703, 4433, 330, 760, 994, 1038, 4849, 28759, 912, 2018, 5470, 815, 272, 454, 2018, 1820, 2891, 8253, 344, 513, 1297, 10590, 2020, 1038, 1247, 263, 19587, 2652, 272, 2187, 2018, 5470, 815, 271, 454, 2018, 18178, 815, 6151, 17750, 3488, 27001, 875, 1082, 3515, 1131, 596, 899, 547, 7696, 3207, 4971, 1496, 272, 268, 262, 1341, 1193, 12759, 4433, 2217, 296, 1091, 9984, 272, 264, 1341, 834, 13912, 315, 339, 257, 12467, 2018, 2119, 912, 3546, 18178, 815, 703, 4433, 330, 760, 994, 2018, 4849, 28759, 912, 3546, 5470, 815, 272, 454, 3546, 1820, 2891, 8253, 344, 513, 1297, 10590, 2020, 1038, 1247, 4433, 330, 760, 711, 538, 4847, 20597, 2354, 2187, 2018, 1820, 3488, 19368, 20489, 4847, 1297, 1496, 272, 268, 262, 1341, 1193, 12759, 4433, 2217, 296, 1091, 9984, 272, 264, 1341, 834, 13912, 315, 339, 257, 12467, 2018, 18178, 815, 6151, 17750, 3488, 27001, 875, 1082, 3515, 1131, 596, 899, 547, 7696, 3207, 4971, 1496, 272, 268, 262, 1341, 1193, 12759, 4433, 2217, 296, 1091, 9984, 272, 264, 1341, 834, 13912, 315, 339, 257, 25589, 2018, 5470, 815, 476, 271, 454, 2018, 2119, 912, 3546, 18178, 815, 703, 4433, 330, 760, 994, 2018, 4849, 28759, 912, 3546, 5470, 815, 272, 454, 3546, 1820, 2891, 8253, 344, 513, 1297, 10590, 2020, 2018, 1247, 263, 19587, 2652, 272, 2187, 3546, 5470, 815, 271, 454, 3546, 18178, 815, 6151, 17750, 3488, 27001, 875, 1082, 3515, 1131, 596, 899, 547, 7696, 3207, 4971, 1496, 272, 268, 262, 1341, 1193, 12759, 4433, 2217, 296, 1091, 9984, 272, 264, 1341, 834, 13912, 315, 339, 257, 12467, 3546, 2119, 912, 7386, 18178, 815, 703, 4433, 330, 760, 994, 3546, 4849, 28759, 912, 7386, 5470, 815, 272, 454, 7386, 1820, 2891, 8253, 344, 513, 1297, 10590, 9239, 825, 1948, 1496, 5881, 4940, 5675, 7117, 11357, 12981, 883, 513, 32197, 267, 28408, 8488, 942, 692, 825, 2083, 523, 600, 16587, 24591, 815, 32197, 266, 834, 318, 336, 11357, 338, 4877, 2125, 5016, 825, 547, 24591, 815, 1930, 6600, 559, 523, 600, 16587, 24591, 267, 1412, 342, 262, 9239, 825, 1948, 1496, 5881, 316, 630, 320, 264, 1603, 513, 20927, 454, 825, 547, 24591, 22182, 2891, 26611, 16535, 11486, 1662, 1422, 333, 5602, 825, 547, 24591, 22182, 2891, 258, 259, 910, 309, 1422, 333, 5602, 825, 547, 24591, 22182, 2891, 258, 259, 910, 322, 23424, 1422, 333, 5602, 825, 547, 24591, 22182, 3488, 258, 259, 910, 334, 1412, 1341, 32197, 1341, 834, 318, 8421, 17902, 1422, 333, 5602, 825, 547, 24591, 22182, 3488, 258, 259, 910, 329, 586, 1422, 333, 5073, 825, 547, 24591, 22182, 3488, 258, 259, 910, 701, 8142, 539, 476, 272, 1422, 333, 5073, 825, 547, 24591, 22182, 3488, 258, 259, 910, 331, 1509, 6958, 872, 284, 1015, 294, 267, 327, 24449, 332, 655, 284, 1015, 294, 1422, 333, 262, 9239, 825, 1948, 1496, 5881, 316, 630, 321, 264, 1603, 7117, 11357, 338, 692, 825, 4831, 815, 476, 271, 454, 825, 585, 7329, 538, 3732, 296, 1091, 912, 1038, 4831, 6834, 476, 272, 454, 1038, 952, 3207, 344, 31573, 3890, 2652, 1412, 333, 12466, 2018, 4699, 323, 815, 834, 336, 11357, 910, 301, 795, 257, 1341, 7329, 11468, 280, 316, 1341, 834, 834, 1341, 7097, 4067, 1341, 834, 834, 1341, 7329, 1341, 834, 1422, 333, 4840, 2018, 547, 24591, 22182, 6262, 30113, 994, 1038, 8640, 3207, 344, 31573, 3890, 2652, 1412, 344, 12466, 2018, 952, 4831, 4939, 18178, 2652, 476, 271, 912, 3546, 4699, 323, 815, 834, 336, 11357, 910, 301, 795, 257, 1341, 7329, 11468, 280, 316, 1341, 834, 834, 1341, 7097, 4067, 1341, 834, 834, 1341, 7329, 1341, 834, 1422, 985, 2748, 834, 476, 1341, 1193, 5560, 601, 599, 11742, 264, 1341, 27719, 333, 4840, 2018, 3116, 912, 3546, 4699, 323, 815, 834, 336, 11357, 910, 301, 795, 257, 1341, 7329, 11468, 280, 316, 1341, 834, 834, 1341, 7097, 4067, 1341, 834, 834, 1341, 7329, 1341, 834, 1422, 333, 4840, 2018, 547, 24591, 22182, 6262, 30113, 994, 825, 547, 24591, 25379, 454, 0, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 13074, 13349, 7093, 25785, 4311, 267, 1193, 338, 281, 5903, 314, 1598, 8079, 9847, 1193, 912, 1038, 8173, 1038, 476, 2971, 1496, 1691, 269, 7043, 652, 5871, 2776, 25785, 28488, 10059, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 14075, 652, 10687, 3000, 1790, 10915, 1460, 270, 2020, 1038, 3503, 513, 1599, 547, 1265, 519, 13074, 1455, 18772, 5569, 10838, 606, 5044, 540, 12673, 563, 13872, 1038, 1403, 972, 568, 1100, 1455, 18772, 267, 2132, 606, 8900, 5569, 2387, 3269, 319, 563, 13872, 1038, 2878, 7078, 476, 272, 26279, 13872, 1038, 476, 8199, 1038, 18452, 281, 22373, 17810, 14824, 6503, 14824, 325, 2775, 31116, 1038, 19243, 281, 834, 4148, 4840, 1038, 476, 8199, 13872, 1038, 2878, 7078, 476, 273, 26279, 13872, 1038, 476, 8199, 1038, 18452, 281, 22373, 27594, 14824, 15869, 8364, 14824, 8364, 31116, 1038, 19243, 281, 834, 4840, 1038, 19247, 281, 1703, 568, 1100, 1455, 18772, 1851, 519, 3403, 12673, 563, 1038, 476, 8199, 13872, 1038, 2878, 9616, 26279, 13872, 1038, 2353 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 2473, 281, 4197, 717, 4361, 543, 13809, 281, 1879, 1284, 18461, 6145, 1284, 4312, 23452, 3776, 2383, 692, 5331, 713, 9183, 281, 1411, 723, 1044, 4730, 13558, 2094, 596, 941, 2947, 1296, 2025, 269, 5272, 1554, 1310, 1153, 267, 707, 3237, 1131, 1491, 596, 547, 519, 2361, 1141, 596, 1558, 707, 2828, 543, 13736, 1927, 269, 17502, 1356, 2968, 513, 851, 540, 945, 596, 616, 910, 621, 729, 513, 5458, 851, 540, 707, 3961, 269, 1809, 835, 1554, 267, 1247, 2866, 585, 513, 2462, 3014, 267, 596, 6335, 707, 12597, 21354, 543, 1265, 856, 596, 4465, 1405, 581, 2111, 547, 1404, 585, 3275, 269, 901, 6727, 2530, 2306, 596, 1745, 899, 513, 1114, 1268, 15587, 1317, 519, 2534, 799, 2899, 3989, 596, 568, 1631, 3144, 2476, 780, 299, 1601, 525, 899, 891, 666, 2014, 4606, 2147, 547, 16236, 1256, 950, 789, 1810, 1405, 4125, 2669, 269, 5369, 5505, 1289, 713, 1412, 15275, 640, 13809, 9538, 1306, 1480, 7919, 267, 649, 782, 979, 998, 1585, 2242, 2429, 938, 2729, 269, 6884, 891, 19260, 1522, 1860, 875, 649, 1294, 6000, 610, 1174, 938, 1909, 1369, 3885, 267, 17052, 267, 610, 2950, 269, 1452, 10593, 949, 1291, 721, 547, 2243, 3344, 540, 938, 9163, 971, 607, 834, 8005, 993, 594, 8119, 610, 834, 1432, 993, 594, 9277, 547, 798, 952, 594, 3112, 7119, 538, 1250, 5172, 2238, 15042, 12482, 4131, 803, 6338, 596, 547, 661, 850, 523, 267, 513, 3318, 24468, 4171, 2816, 3322, 4543, 1004, 4308, 609, 4101, 3871, 1175, 899, 891, 269, 2701, 24870, 538, 2324, 609, 14038, 543, 4079, 10188, 1713, 1272, 13289, 610, 9271, 269, 1635, 1210, 9354, 4485, 899, 15465, 19884, 10657, 630, 30274, 264, 543, 8827, 10312, 539, 3797, 267, 1352, 16877, 2043, 547, 5431, 741, 9342, 543, 3605, 1007, 2081, 540, 12003, 1282, 9157, 2053, 780, 3080, 4480, 661, 850, 523, 1419, 18271, 568, 1572, 24238, 269, 6056, 1394, 547, 519, 13558, 1383, 910, 1018, 952, 3079, 540, 23029, 1152, 593, 519, 1249, 602, 596, 7948, 1405, 1404, 267, 596, 3576, 942, 1142, 1554, 547, 1445, 593, 1945, 2318, 286, 9320, 596, 1223, 2119, 1565, 811, 827, 1776, 2990, 593, 519, 2319, 865, 596, 666, 1869, 3565, 950, 596, 9156, 269, 2107, 5310, 972, 781, 513, 1114, 15908, 596, 4312, 2141, 4941, 547, 2263, 855, 2760, 1185, 519, 4960, 269, 28552, 11009, 7512, 3168, 693, 1919, 1483, 12264, 2864, 982, 3478, 16397, 676, 2258, 18356, 780, 9199, 6373, 26455, 1416, 849, 4249, 513, 4105, 1909, 538, 661, 850, 523, 781, 2259, 269, 3004, 9964, 2621, 666, 3648, 1764, 2576, 781, 2631, 540, 1582, 269, 4475, 267, 1620, 543, 14344, 2250, 911, 30864, 948, 1628, 3972, 1063, 7218, 543, 16293, 269, 2060, 8296, 543, 1875, 268, 9080, 8540, 267, 4648, 899, 661, 850, 523, 1711, 2922, 5624, 585, 7067, 780, 1103, 3932, 267, 9561, 2694, 540, 938, 9163, 666, 581, 2352, 267, 2523, 950, 621, 7959, 6397, 610, 15490, 269, 1717, 267, 3314, 602, 3025, 8188, 14488, 693, 930, 1448, 538, 741, 2729, 269, 4658, 899, 661, 850, 523, 4142, 6510, 741, 11678, 547, 21528, 1346, 10010, 609, 971, 2152, 269, 3414, 2553, 899, 24399, 267, 8827, 10312, 539, 3797, 267, 543, 24238, 267, 2059, 609, 8194, 26455, 1416, 267, 6051, 3587, 2009, 269, 1924, 9784, 707, 2479, 21608, 1582, 543, 1832, 3695, 519, 1158, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2171, 2709, 538, 16512, 3797, 607, 1134, 607, 7658, 1492, 2805, 7886, 269, 7490, 2689, 519, 16293, 262, 22808, 547, 1451, 827, 873, 543, 741, 8244, 563, 2171, 946, 5616, 20821, 607, 938, 2228, 3760, 563, 292, 850, 523, 645, 2795, 534, 10790, 267, 700, 9573, 290, 454, 22913, 540, 8551, 538, 10076, 2657, 29960, 282, 13397, 10234, 26133, 12333, 21835, 528, 454, 292, 850, 523, 1568, 609, 6932, 4079, 543, 4079, 563, 292, 850, 523, 6770, 936, 29933, 1296, 540, 2790, 1072, 1995, 607, 513, 2618, 6139, 1905, 626, 538, 513, 3099, 540, 5468, 267, 1519, 4357, 2259, 267, 2146, 8041, 267, 3506, 543, 13500, 262, 2853, 269, 661, 850, 523, 13279, 1200, 960, 607, 513, 13309, 593, 1200, 3661, 602, 1169, 1268, 814, 519, 4390, 585, 1689, 543, 2208, 267, 693, 1022, 3942, 540, 1272, 269, 1280, 3101, 519, 3661, 540, 2247, 267, 1560, 543, 6891, 4276, 267, 661, 850, 523, 781, 11455, 1935, 547, 3797, 568, 11215, 267, 27790, 1863, 267, 4222, 1759, 543, 3070, 5059, 267, 28110, 2509, 519, 7817, 781, 4857, 3853, 543, 2115, 269, 30459, 15465, 19884, 10657, 630, 30274, 1070, 8827, 10312, 539, 3797, 267, 24238, 543, 998, 513, 8194, 1102, 528, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 717, 4361, 1299, 13809, 1315, 13809, 540, 14740, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 476, 275, 269, 274, 26291, 692, 2026, 649, 5490, 4514, 883, 519, 1158, 540, 8106, 4457, 267, 621, 779, 1271, 547, 2263, 519, 2686, 2035, 602, 8032, 3504, 3624, 269, 769, 713, 1016, 15492, 267, 649, 786, 4983, 10350, 1107, 519, 1259, 7239, 10891, 2933, 20833, 543, 13998, 269, 901, 568, 513, 2629, 2460, 540, 1022, 10340, 267, 543, 1620, 621, 666, 2285, 721, 3407, 4030, 883, 4457, 2528, 267, 2250, 543, 1459, 780, 305, 580, 5387, 13979, 454, 2411, 13430, 294, 4261, 766, 538, 8106, 3624, 729, 8185, 6766, 676, 25230, 22675, 267, 606, 5683, 543, 10952, 1062, 2919, 689, 519, 10752, 540, 519, 4457, 14544, 25230, 639, 630, 4649, 272, 1700, 5325, 280, 14514, 1040, 2311, 922, 4295, 267, 25230, 22675, 11363, 2123, 543, 22257, 13919, 267, 2953, 1145, 540, 1514, 3347, 267, 5126, 267, 11587, 267, 543, 5609, 1356, 640, 269, 1452, 3741, 941, 10630, 538, 519, 2797, 2497, 540, 3504, 3624, 267, 799, 2847, 9407, 1472, 519, 2856, 540, 519, 23626, 540, 13140, 780, 763, 13495, 622, 540, 24656, 630, 14035, 358, 417, 495, 377, 512, 1014, 2719, 264, 729, 519, 3661, 602, 900, 30752, 4607, 741, 6392, 547, 4341, 2047, 689, 13140, 269, 1403, 789, 18170, 1134, 267, 4509, 1931, 543, 10103, 267, 741, 12081, 729, 2938, 607, 16048, 269, 1717, 267, 952, 789, 8959, 547, 27481, 891, 16431, 267, 2067, 12469, 610, 824, 1608, 600, 885, 1223, 5365, 602, 519, 17169, 1185, 4503, 519, 23626, 540, 13140, 267, 1175, 4328, 1010, 8851, 689, 1379, 780, 8777, 1645, 570, 821, 1299, 21931, 20211, 454, 10900, 19030, 5331, 1373, 513, 1762, 4013, 538, 11440, 3624, 267, 11235, 547, 4196, 707, 14610, 855, 849, 3222, 540, 519, 10373, 5539, 1655, 15735, 2390, 596, 269, 1411, 6594, 2182, 547, 4487, 519, 27825, 267, 4121, 547, 2328, 17715, 30951, 267, 543, 4378, 539, 707, 4661, 566, 1983, 547, 22321, 1866, 3927, 269, 3767, 267, 596, 1796, 1354, 519, 17599, 267, 4712, 547, 2709, 8480, 1759, 593, 707, 1702, 543, 7326, 780, 1607, 9183, 8711, 519, 2956, 540, 2069, 538, 8106, 3624, 269, 589, 4396, 5748, 538, 3332, 267, 6138, 267, 543, 7881, 5423, 8387, 585, 1857, 3028, 269, 898, 7012, 1405, 2614, 547, 3274, 1246, 9753, 282, 835, 1185, 547, 1174, 519, 5817, 3741, 12044, 2486, 543, 4019, 873, 4140, 5534, 569, 269, 2913, 781, 1294, 875, 930, 4583, 5931, 9414, 891, 2093, 780, 7343, 29736, 6201, 454, 2411, 692, 2162, 634, 1323, 531, 31637, 630, 420, 360, 500, 420, 359, 508, 700, 684, 344, 340, 2020, 3519, 14673, 857, 639, 781, 10752, 267, 16432, 538, 2608, 763, 1323, 531, 31637, 24682, 1683, 5813, 883, 1697, 2932, 543, 5718, 269, 2290, 8037, 8574, 14509, 1384, 285, 476, 31878, 418, 505, 364, 16088, 7987, 490, 12571, 505, 31878, 25520, 26033, 490, 21251, 12571, 490, 8147, 16533, 493, 32512, 12571, 490, 26033, 490, 21251, 25520, 12486, 7987, 491, 454, 11417, 285, 634, 9457, 1767, 281, 968, 288, 9543, 2006, 11745, 3278, 2943, 1281, 711, 14883, 282, 4620, 1399, 2367, 14883, 2943, 798, 711, 11745, 1125, 1848, 30916, 2304, 531, 31637, 265, 476, 1724, 269, 2537, 2020, 2080, 267, 25230, 639, 5267, 602, 3020, 10103, 2501, 689, 18245, 1367, 5380, 1247, 20170, 547, 3838, 2418, 269, 6153, 10350, 3340, 1312, 9322, 543, 4763, 1107, 7907, 1898, 585, 20547, 7526, 543, 5807, 3356, 780, 2162, 9093, 857, 639, 630, 11858, 509, 31878, 631, 1263, 17844, 2020, 24464, 857, 639, 267, 513, 7986, 25230, 534, 1589, 518, 945, 5030, 1282, 519, 654, 18732, 2276, 1974, 630, 29889, 1700, 21854, 14514, 1070, 2417, 8268, 519, 1909, 540, 3401, 538, 5009, 1649, 5271, 565, 550, 10350, 269, 4340, 547, 1864, 267, 1004, 6923, 4865, 5837, 2631, 267, 855, 621, 2115, 14637, 998, 2069, 543, 1434, 1806, 1305, 676, 1346, 538, 1379, 269, 1261, 28020, 7150, 1384, 285, 17276, 364, 495, 18263, 489, 421, 479, 492, 18263, 509, 421, 352, 351, 419, 360, 511, 8147, 10429, 370, 417, 379, 481, 417, 28187, 418, 357, 372, 5405, 505, 14395, 502, 20069, 9463, 372, 18263, 489, 21251, 417, 507, 485, 8147, 31176, 485, 418, 364, 495, 13200, 509, 9463, 491, 13161, 376, 26175, 479, 25707, 11417, 285, 1879, 1426, 3587, 865, 17077, 602, 1004, 5182, 557, 267, 741, 12271, 1831, 26525, 282, 950, 8387, 3111, 547, 17982, 1226, 19935, 267, 1287, 519, 1455, 12563, 2490, 547, 4357, 18697, 269, 30916, 24464, 857, 639, 265, 476, 272, 288, 274, 2020, 1103, 9759, 267, 9093, 857, 639, 13187, 602, 2500, 10350, 31963, 593, 5870, 4961, 262, 2596, 2115, 543, 4180, 4023, 2126, 896, 519, 1876, 269, 1635, 3257, 865, 267, 3401, 11349, 3972, 543, 14017, 1851, 741, 5396, 780, 2162, 4279, 4804, 630, 27962, 11858, 372, 667, 1314, 826, 2020, 5194, 9565, 960, 568, 2608, 15124, 4804, 24682, 12926, 11911, 547, 25230, 639, 781, 1178, 2738, 517, 2098, 1263, 17844, 269, 4706, 6679, 3515, 7291, 519, 2619, 4724, 1582, 21553, 2889, 22777, 543, 24084, 2989, 4341, 1384, 285, 476, 11858, 372, 23284, 420, 485, 368, 337, 13895, 8147, 27310, 23284, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 24375, 940, 18190, 4457, 267, 3689, 22588, 834, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 18190, 4457, 2580, 834, 273, 269, 9978, 18049, 540, 18190, 4457, 2580, 834, 274, 269, 28871, 13242, 18500, 538, 18190, 4457, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 16610, 543, 14313, 538, 4457, 9177, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 7731, 2580, 834, 275, 269, 273, 269, 5274, 3347, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 274, 269, 26291, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3764, 630, 514, 606, 5662, 264, 6398, 476, 2190, 3108, 630, 514, 513, 1554, 264, 6398, 476, 18458, 269, 1839, 2395, 630, 514, 513, 1032, 264, 6398, 707, 2085, 269, 1280, 1383, 267, 476, 7761, 2295, 20054, 6398, 476, 2568, 6398, 476, 2190, 6398, 476, 18458, 269, 1839, 6398, 513, 1268, 945, 568, 476, 1789, 815, 476, 272, 267, 15793, 267, 5881, 274, 267, 7785, 20054, 2094, 519, 1268, 729, 4535, 269, 2986, 1576, 267, 713, 568, 606, 19406, 267, 2094, 519, 2295, 2356, 20054, 14887, 693, 3781, 267, 543, 621, 11250, 909, 950, 596, 1294, 519, 3915, 585, 707, 5767, 1286, 7816, 780, 8993, 1005, 856, 875, 1454, 2011, 596, 13236, 1282, 513, 10715, 568, 1776, 1187, 6310, 9819, 269, 1403, 596, 5688, 12264, 6430, 596, 1616, 547, 5555, 581, 476, 1911, 1296, 2025, 267, 543, 519, 3328, 1268, 11375, 2297, 827, 835, 533, 842, 630, 528, 476, 271, 269, 5325, 20990, 264, 540, 2011, 829, 7362, 267, 596, 666, 798, 519, 2979, 269, 3689, 1491, 519, 1297, 540, 24967, 596, 1491, 1247, 693, 1964, 829, 8792, 630, 25669, 827, 476, 2641, 829, 8792, 264, 6398, 476, 271, 269, 5325, 20990, 6398, 476, 2568, 3764, 6398, 476, 2190, 3108, 6398, 476, 18458, 269, 1839, 2395, 6398, 476, 1911, 1296, 2025, 815, 476, 31982, 267, 14338, 267, 26392, 20990, 269, 11088, 267, 713, 568, 1152, 606, 19406, 780, 5141, 846, 692, 1607, 568, 513, 1357, 12744, 540, 519, 834, 763, 7435, 344, 4569, 8382, 3883, 257, 813, 269, 3509, 2934, 1152, 960, 593, 707, 5985, 3926, 269, 1403, 596, 899, 1018, 596, 1294, 267, 649, 4126, 596, 786, 2015, 9140, 269, 5192, 519, 2561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26872, 10563, 507, 368, 32510, 482, 422, 367, 482, 424, 484, 491, 19314, 1721, 16245, 532, 513, 2481, 267, 676, 519, 6392, 540, 519, 1657, 3957, 957, 267, 547, 519, 25518, 540, 519, 12445, 25692, 288, 1533, 23328, 949, 11156, 958, 6451, 513, 2754, 547, 1118, 513, 9376, 543, 1793, 871, 1216, 12445, 267, 1510, 8506, 621, 547, 1118, 13180, 585, 3702, 1113, 3441, 547, 4357, 3959, 538, 519, 11056, 540, 519, 960, 269, 9747, 519, 3933, 784, 320, 3559, 320, 32522, 7577, 11368, 547, 1118, 971, 513, 12445, 689, 26352, 7921, 547, 519, 1899, 1063, 12425, 543, 9098, 267, 676, 21394, 543, 25437, 538, 519, 3933, 784, 320, 3559, 320, 5757, 267, 729, 711, 4371, 25964, 538, 606, 2962, 593, 519, 2013, 585, 29572, 532, 519, 1216, 593, 519, 1411, 515, 690, 1415, 5757, 676, 513, 2481, 538, 519, 3933, 784, 320, 3559, 320, 267, 547, 519, 5945, 540, 519, 27674, 858, 781, 1984, 4799, 2252, 4061, 519, 811, 7805, 1843, 540, 606, 15641, 2939, 547, 519, 12445, 581, 547, 519, 7443, 540, 606, 1367, 9886, 2465, 267, 621, 568, 519, 1318, 543, 10279, 540, 519, 23328, 547, 3313, 2436, 519, 1857, 1719, 568, 865, 4448, 609, 519, 4357, 267, 607, 547, 2278, 1125, 519, 957, 267, 543, 519, 9886, 2465, 1247, 9117, 1369, 519, 7060, 11292, 267, 568, 711, 25964, 585, 1022, 5945, 11124, 676, 1022, 824, 1367, 676, 19249, 519, 13441, 543, 17406, 540, 519, 20352, 269, 274, 454, 2005, 729, 1767, 676, 519, 8480, 538, 519, 2013, 540, 519, 1290, 454, 272, 9466, 642, 269, 634, 20448, 267, 476, 274, 590, 269, 1299, 21984, 548, 630, 303, 3317, 4700, 476, 24129, 563, 273, 4521, 3115, 269, 585, 2904, 476, 7277, 275, 267, 533, 269, 476, 4343, 282, 543, 1294, 519, 2013, 538, 476, 277, 1733, 691, 269, 630, 303, 3317, 4700, 681, 269, 476, 11820, 563, 274, 26436, 642, 269, 12338, 2401, 7085, 12456, 15278, 267, 476, 273, 2561, 269, 630, 9288, 4700, 681, 269, 476, 31874, 563, 3000, 17314, 642, 269, 6601, 539, 267, 538, 12590, 10086, 602, 519, 9886, 540, 513, 1318, 547, 1628, 513, 8115, 729, 2390, 519, 21936, 543, 585, 519, 1965, 2133, 4324, 540, 606, 1367, 269, 634, 5480, 1767, 267, 621, 729, 8969, 1652, 3020, 282, 543, 621, 729, 849, 3020, 267, 602, 1082, 824, 16904, 1185, 12090, 538, 24500, 540, 4357, 2744, 267, 799, 1185, 8507, 538, 1390, 1857, 9283, 563, 25802, 1271, 2665, 540, 519, 6609, 540, 1346, 1657, 5219, 547, 607, 2481, 11133, 2612, 4302, 267, 1299, 322, 269, 616, 1346, 540, 519, 552, 14431, 540, 13123, 936, 4044, 762, 1216, 267, 676, 6392, 540, 519, 23328, 267, 865, 2282, 1776, 8115, 1354, 25517, 936, 519, 1482, 8756, 267, 896, 519, 1482, 6392, 267, 607, 3614, 584, 13124, 547, 1860, 519, 17167, 338, 540, 519, 8115, 865, 1101, 25517, 269, 634, 32388, 832, 540, 513, 1101, 25517, 8115, 4294, 547, 519, 18678, 5480, 540, 12590, 547, 1964, 1778, 676, 606, 3614, 4233, 519, 4070, 540, 519, 2034, 8115, 267, 543, 519, 5480, 538, 476, 9264, 280, 267, 1310, 14969, 543, 4121, 7440, 676, 519, 8480, 267, 593, 1312, 5011, 267, 543, 2390, 1360, 1390, 18064, 3130, 267, 25323, 519, 3915, 267, 519, 16488, 1373, 8449, 5258, 282, 26436, 267, 595, 269, 808, 1421, 543, 10925, 5864, 267, 808, 1421, 1373, 540, 6644, 267, 602, 519, 24255, 729, 9738, 267, 543, 18200, 517, 267, 808, 1421, 543, 8187, 324, 267, 808, 1421, 30418, 741, 6644, 267, 602, 519, 3915, 1058, 581, 25323, 269, 634, 2013, 729, 1287, 4547, 676, 1060, 540, 5470, 547, 519, 18678, 5480, 540, 519, 2136, 2276, 267, 538, 799, 267, 538, 476, 8146, 278, 267, 519, 31885, 540, 519, 5480, 538, 12590, 729, 14751, 539, 16427, 6004, 269, 808, 269, 9452, 29926, 454, 272, 20448, 642, 269, 6601, 539, 267, 476, 275, 17292, 269, 630, 22709, 4700, 681, 269, 476, 29121, 563, 532, 267, 543, 18913, 1010, 6644, 676, 513, 1360, 14969, 543, 1360, 4121, 4661, 267, 538, 799, 6004, 269, 808, 269, 16399, 598, 2017, 1042, 269, 634, 6644, 540, 519, 5480, 1996, 26587, 519, 3614, 4233, 267, 729, 9447, 676, 570, 2033, 344, 267, 595, 269, 808, 1421, 543, 729, 16135, 2390, 519, 7156, 267, 602, 519, 1439, 540, 782, 2229, 568, 547, 3895, 519, 8788, 543, 13884, 540, 519, 2146, 267, 676, 799, 621, 568, 3964, 282, 543, 602, 621, 1223, 2760, 581, 10924, 267, 602, 519, 2229, 5497, 547, 27298, 922, 1379, 540, 6104, 5109, 519, 1439, 585, 799, 621, 729, 2813, 282, 543, 538, 513, 2197, 899, 713, 267, 1863, 267, 3742, 267, 543, 9432, 2358, 267, 16111, 14027, 538, 2338, 543, 5763, 267, 1007, 9055, 540, 2792, 616, 3232, 1336, 2556, 267, 1312, 585, 2951, 543, 4123, 267, 543, 616, 1898, 547, 519, 13884, 543, 8788, 540, 519, 1004, 269, 634, 4797, 6228, 540, 2229, 1131, 581, 540, 1100, 1390, 1871, 267, 952, 676, 6286, 543, 16912, 6877, 267, 621, 729, 547, 581, 771, 28534, 540, 519, 7060, 2556, 547, 9585, 519, 7475, 540, 922, 5137, 267, 543, 952, 519, 3252, 621, 729, 2966, 547, 1685, 267, 941, 547, 581, 11843, 547, 519, 3946, 540, 14078, 269, 2755, 519, 2924, 540, 4357, 3959, 941, 547, 581, 9833, 267, 1346, 540, 519, 2146, 1058, 581, 5132, 2685, 12873, 269, 272, 454, 1103, 519, 2013, 540, 519, 15011, 1177, 330, 15167, 3213, 269, 642, 269, 7780, 3821, 543, 2480, 1156, 624, 8014, 21805, 7577, 267, 538, 519, 5480, 540, 669, 22083, 344, 540, 519, 1533, 540, 1715, 3840, 267, 972, 729, 606, 454, 272, 8176, 5211, 15167, 642, 269, 25303, 15167, 267, 476, 278, 17292, 269, 630, 22709, 264, 681, 269, 476, 30306, 282, 590, 269, 595, 269, 538, 5470, 267, 476, 1556, 22642, 630, 308, 269, 590, 4700, 681, 269, 476, 22213, 563, 6224, 269, 10001, 20426, 29706, 13993, 2975, 681, 20846, 5508, 715, 16787, 5456, 9569, 563, 1952, 997, 566, 585, 606, 3614, 4233, 676, 519, 15011, 1177, 330, 15167, 7577, 543, 8938, 21144, 1866, 267, 547, 1964, 1778, 519, 9718, 1218, 689, 16245, 532, 513, 8115, 585, 519, 8574, 540, 741, 16749, 936, 519, 15011, 1177, 330, 5757, 267, 693, 519, 2749, 540, 2480, 1156, 624, 8014, 269, 634, 15011, 1177, 330, 15167, 7577, 941, 519, 5411, 540, 513, 17167, 8115, 2066, 519, 5757, 827, 835, 4627, 22203, 1657, 1141, 519, 9718, 1218, 1185, 862, 10642, 267, 543, 941, 23312, 547, 16245, 741, 8115, 585, 519, 8574, 540, 741, 7841, 268, 5802, 6517, 609, 15915, 593, 741, 16749, 282, 543, 519, 824, 29153, 1218, 941, 2244, 5411, 7755, 334, 1456, 519, 5757, 269, 634, 15011, 1177, 330, 15167, 7577, 16957, 538, 741, 3915, 267, 602, 519, 6069, 552, 14431, 1131, 1439, 9734, 519, 3106, 540, 741, 8115, 676, 546, 2459, 532, 909, 519, 4672, 693, 519, 8840, 909, 540, 519, 5757, 282, 543, 849, 602, 519, 8876, 540, 15915, 2066, 519, 5757, 538, 519, 7841, 268, 5802, 6517, 1131, 581, 513, 3441, 547, 519, 8115, 2754, 267, 676, 11651, 1154, 519, 2951, 689, 741, 17167, 8115, 282, 543, 1131, 585, 602, 2601, 581, 606, 3614, 21874, 13779, 609, 519, 12600, 17979, 17956, 676, 741, 22497, 269, 1656, 782, 519, 29153, 1218, 29739, 267, 602, 519, 7841, 268, 5802, 18294, 729, 711, 17101, 676, 922, 22497, 547, 16245, 513, 8115, 267, 610, 547, 3444, 519, 5757, 609, 922, 16749, 269, 898, 729, 4371, 267, 602, 519, 29153, 1218, 941, 711, 13886, 547, 519, 8323, 4280, 267, 543, 519, 5163, 585, 606, 3614, 4233, 581, 17792, 282, 602, 519, 9886, 547, 513, 18294, 540, 519, 1318, 547, 16245, 513, 17167, 8115, 2066, 513, 5757, 267, 1510, 1022, 19231, 607, 547, 519, 1318, 540, 519, 23328, 547, 9886, 513, 2147, 17979, 547, 1866, 267, 1281, 711, 14145, 633, 513, 2104, 5977, 454, 331, 1155, 540, 519, 1379, 547, 2278, 1125, 519, 552, 14431, 540, 1776, 17167, 8115, 2066, 519, 1482, 5757, 865, 2282, 547, 519, 1101, 267, 607, 547, 31818, 513, 851, 540, 519, 2951, 799, 1131, 723, 18084, 519, 5757, 593, 519, 1101, 8115, 267, 952, 519, 2063, 1185, 711, 1044, 2813, 25692, 763, 4070, 267, 896, 513, 22497, 11292, 676, 519, 23328, 540, 17665, 267, 540, 513, 17167, 8115, 267, 1369, 513, 2110, 3845, 540, 513, 13931, 7542, 787, 267, 729, 4371, 538, 602, 1533, 711, 513, 18670, 540, 519, 642, 6479, 2924, 540, 519, 7542, 787, 1183, 4177, 269, 634, 5480, 2808, 267, 602, 519, 6240, 267, 602, 4357, 3959, 3112, 581, 16271, 547, 1857, 946, 1510, 13180, 267, 4019, 547, 606, 16957, 2530, 676, 519, 1183, 4177, 540, 971, 7542, 787, 4799, 10454, 23328, 540, 21086, 267, 538, 476, 5197, 279, 267, 11368, 513, 8115, 2754, 267, 609, 6392, 547, 2445, 17167, 338, 267, 543, 267, 538, 519, 957, 540, 25465, 267, 11311, 519, 6073, 538, 799, 519, 8115, 543, 2014, 3118, 1058, 581, 9112, 267, 543, 2838, 824, 9276, 547, 581, 30309, 282, 543, 1287, 621, 3177, 267, 602, 8164, 519, 17167, 338, 1058, 32158, 9309, 547, 519, 2754, 519, 18304, 4359, 676, 873, 538, 2679, 519, 8115, 543, 519, 824, 9276, 5219, 547, 267, 609, 606, 1719, 540, 12964, 829, 1298, 269, 829, 3045, 636, 972, 517, 267, 519, 8115, 543, 2014, 3118, 267, 543, 2557, 540, 17167, 267, 1058, 581, 1641, 547, 971, 6042, 543, 9753, 607, 519, 23328, 1058, 1589, 1697, 547, 1118, 269, 2991, 930, 824, 14074, 267, 711, 1570, 1934, 267, 621, 729, 605, 454, 272, 15011, 1177, 330, 15167, 3213, 269, 642, 269, 7780, 3821, 543, 2480, 1156, 269, 681, 269, 10162, 269, 3213, 269, 476, 277, 14529, 15607, 630, 301, 269, 962, 4700, 932, 269, 681, 269, 476, 4649, 275, 563, 291, 9807, 642, 269, 570, 639, 5632, 334, 6242, 15167, 267, 476, 273, 5800, 269, 630, 2704, 320, 4700, 681, 269, 476, 30640, 269, 0, 294, 21194, 589, 2388, 1797, 1022, 543, 782, 931, 757, 267, 1237, 10094, 267, 14998, 267, 9753, 267, 2278, 3074, 267, 3649, 1392, 267, 17756, 267, 1083, 1734, 267, 23614, 687, 610, 27121, 540, 267, 610, 7373, 5928, 267, 3616, 25730, 610, 2083, 902, 609, 267, 1022, 6554, 531, 16958, 2838, 896, 1022, 6554, 531, 16390, 563, 294, 21194, 16958, 1797, 519, 2229, 540, 519, 2136, 2276, 540, 3013, 267, 610, 540, 1022, 824, 4182, 267, 610, 1022, 2797, 30834, 1707, 23476, 267, 2436, 1533, 610, 2199, 267, 543, 1022, 8116, 267, 6392, 267, 6293, 1275, 267, 9431, 1560, 267, 5480, 267, 3844, 4871, 610, 824, 11769, 540, 519, 2062, 4707, 16706, 10324, 267, 15424, 267, 16324, 267, 3454, 532, 267, 9431, 610, 11889, 7060, 610, 3252, 540, 610, 17640, 547, 2229, 563, 294, 21194, 16390, 1797, 1022, 543, 782, 4031, 267, 29071, 267, 9479, 267, 3652, 267, 6042, 267, 3921, 514, 1734, 267, 9753, 267, 1060, 338, 267, 3526, 525, 543, 3614, 17313, 267, 540, 1022, 6554, 531, 16958, 543, 1022, 543, 782, 16155, 11006, 2175, 267, 4441, 267, 10238, 1431, 267, 4170, 543, 21520, 540, 1022, 6554, 531, 16958, 563, 294, 7949, 1797, 20251, 267, 32410, 267, 20476, 664, 267, 6133, 267, 15549, 267, 9813, 622, 267, 1121, 1047, 267, 5305, 267, 6655, 267, 3651, 267, 4483, 267, 1711, 543, 9886, 513, 561, 1329, 2390, 543, 513, 3354, 1719, 538, 543, 1318, 540, 1305, 11325, 1996, 267, 16005, 267, 1305, 936, 543, 6166, 5083, 340, 656, 547, 519, 8232, 26671, 269, 589, 16827, 540, 519, 7502, 8632, 610, 540, 1022, 824, 6876, 610, 6293, 4927, 1331, 782, 2924, 267, 7060, 543, 3681, 630, 8117, 9039, 540, 519, 13800, 264, 540, 519, 26587, 5428, 972, 8974, 267, 1519, 519, 7525, 543, 11173, 1318, 547, 3409, 585, 267, 2445, 267, 4309, 543, 2285, 2256, 18967, 585, 9030, 543, 1719, 11033, 538, 2463, 540, 519, 7502, 8632, 543, 782, 824, 544, 821, 903, 2628, 762, 972, 8974, 267, 547, 2285, 543, 4309, 711, 1182, 543, 824, 10618, 267, 547, 1118, 3649, 1392, 610, 824, 11650, 267, 547, 3635, 782, 2924, 543, 3681, 267, 547, 3142, 513, 1160, 3865, 532, 538, 519, 2012, 540, 519, 26587, 5428, 610, 6382, 267, 543, 3622, 547, 798, 543, 4309, 4376, 602, 519, 26587, 5428, 568, 610, 949, 581, 13886, 547, 798, 610, 4309, 972, 8974, 610, 609, 2463, 972, 1729, 563, 10817, 5875, 2465, 540, 610, 676, 1022, 12287, 630, 1492, 6841, 528, 264, 1797, 1022, 17185, 267, 20314, 550, 610, 6382, 267, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 10674, 2517, 291, 4818, 269, 340, 1046, 563, 285, 298, 298, 825, 918, 298, 672, 681, 305, 8587, 681, 305, 672, 2098, 313, 313, 313, 313, 313, 313, 313, 313, 313, 672, 681, 305, 8587, 681, 305, 454, 9254, 31574, 337, 345, 337, 13045, 285, 692, 3499, 0, 258, 670, 7704, 331, 633, 281, 9578, 2290, 1299, 9578, 5565, 11872, 1299, 10298, 585, 29242, 3557, 8274, 692, 1012, 6673, 8274, 4147, 476, 278, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 30930, 10298, 7300, 281, 8281, 1656, 31137, 21423, 8274, 31969, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 3883, 12226, 692, 6673, 8274, 4147, 476, 278, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 30930, 10298, 7300, 281, 8281, 1656, 31137, 21423, 8274, 31969, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 3883, 12226, 692, 1012, 1656, 31137, 21423, 3557, 8274, 4147, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 7734, 10298, 692, 8274, 6673, 8274, 10049, 30930, 10298, 270, 10817, 728, 14474, 667, 8016, 270, 14457, 4147, 476, 278, 628, 13595, 13174, 30667, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 3038, 3187, 670, 1087, 331, 633, 692, 273, 269, 8437, 593, 519, 1656, 31137, 21423, 8274, 4147, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 12226, 563, 274, 269, 6733, 585, 707, 1656, 31137, 21423, 8274, 31969, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 7956, 9248, 7300, 563, 275, 269, 3767, 4647, 610, 1224, 519, 1656, 31137, 21423, 8274, 4147, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 30930, 10298, 585, 7300, 5131, 780, 1012, 6673, 8274, 4147, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 7956, 9248, 10298, 609, 8382, 7300, 8281, 692, 8340, 2630, 519, 1592, 540, 782, 6673, 8274, 4147, 476, 278, 628, 13174, 3848, 476, 278, 22472, 543, 1160, 15251, 769, 17806, 5999, 30930, 10298, 585, 7300, 779, 585, 596, 547, 4647, 543, 5965, 585, 519, 14232, 11400, 1384, 2467, 616, 1896, 3871, 538, 938, 3232, 1272, 1141, 649, 946, 5223, 543, 8167, 269, 2913, 721, 1413, 693, 519, 1739, 5961, 543, 4267, 547, 519, 2016, 2055, 912, 9223, 476, 272, 563, 4692, 649, 2161, 519, 5223, 540, 11250, 540, 4258, 29609, 547, 2494, 2496, 11854, 539, 540, 4258, 29609, 815, 476, 6344, 5998, 874, 454, 11854, 539, 540, 513, 812, 815, 476, 736, 5998, 874, 454, 30043, 22472, 540, 3432, 540, 4258, 29609, 547, 513, 812, 454, 284, 476, 6344, 2433, 476, 736, 454, 284, 476, 277, 2433, 476, 272, 692, 9223, 476, 273, 563, 1432, 786, 581, 519, 5223, 540, 15627, 540, 12920, 6737, 8649, 597, 2496, 3891, 697, 540, 670, 9047, 815, 476, 5611, 4699, 454, 3891, 697, 540, 2549, 597, 476, 4037, 4699, 454, 30043, 22472, 540, 15627, 476, 5611, 2433, 476, 4037, 454, 284, 476, 273, 2433, 476, 272, 692, 9223, 476, 274, 780, 21798, 540, 476, 273, 24732, 540, 19337, 815, 19238, 373, 476, 3199, 454, 30043, 8779, 540, 476, 274, 24732, 540, 19337, 454, 3953, 1109, 9943, 476, 3199, 815, 19238, 373, 476, 6344, 692, 9223, 476, 275, 563, 2710, 596, 917, 799, 2460, 5223, 2306, 25481, 811, 10694, 543, 4190, 888, 20112, 523, 5223, 568, 811, 4190, 269, 898, 568, 519, 5223, 540, 513, 1899, 10126, 2759, 538, 547, 1079, 4773, 540, 1114, 13080, 971, 602, 519, 5223, 540, 2898, 10126, 547, 602, 540, 519, 3476, 10126, 568, 3160, 547, 602, 540, 3476, 10126, 547, 519, 10156, 10126, 780, 13425, 707, 18776, 1496, 17273, 3143, 269, 476, 275, 6540, 9223, 476, 272, 563, 2237, 519, 7623, 5223, 540, 519, 1739, 2016, 12753, 563, 9217, 264, 476, 274, 2433, 476, 276, 543, 476, 275, 2433, 476, 274, 454, 11693, 12753, 616, 476, 274, 2433, 476, 276, 543, 476, 275, 2433, 476, 274, 563, 2252, 513, 2433, 536, 543, 524, 2433, 546, 616, 12753, 267, 1287, 741, 7623, 5223, 568, 1587, 540, 24970, 1027, 757, 2433, 1587, 540, 26037, 563, 7474, 568, 513, 6398, 524, 2433, 536, 2433, 546, 454, 274, 6398, 476, 275, 2433, 476, 276, 6398, 476, 274, 454, 1321, 2433, 476, 1428, 454, 30043, 3281, 895, 5223, 815, 476, 275, 2433, 476, 276, 692, 23870, 264, 476, 279, 2433, 476, 274, 543, 476, 277, 2433, 476, 276, 454, 11693, 12753, 616, 476, 279, 2433, 476, 274, 543, 476, 277, 2433, 476, 276, 563, 2252, 513, 2433, 536, 543, 524, 2433, 546, 616, 12753, 267, 1287, 741, 7623, 5223, 568, 1587, 540, 24970, 1027, 757, 2433, 1587, 540, 26037, 267, 602, 568, 454, 320, 6398, 524, 2433, 536, 2433, 546, 454, 279, 6398, 476, 277, 2433, 476, 274, 6398, 476, 276, 454, 30043, 3281, 895, 5223, 815, 476, 1626, 2433, 476, 276, 692, 31702, 264, 476, 273, 281, 476, 272, 543, 476, 279, 281, 476, 278, 454, 11693, 13158, 3930, 616, 476, 273, 2433, 476, 272, 543, 476, 279, 2433, 476, 278, 563, 2252, 513, 2433, 536, 543, 524, 281, 546, 616, 12753, 267, 1287, 741, 7623, 5223, 568, 1587, 540, 24970, 1027, 757, 2433, 1587, 540, 26037, 602, 568, 513, 6398, 524, 2433, 536, 2433, 546, 454, 273, 6398, 476, 279, 2433, 476, 272, 6398, 476, 278, 454, 1626, 2433, 476, 278, 454, 30043, 3281, 895, 5223, 284, 476, 1626, 2433, 476, 278, 692, 9223, 476, 273, 563, 293, 650, 538, 519, 10833, 609, 2953, 4267, 780, 314, 17273, 3143, 269, 476, 277, 6540, 28097, 543, 2626, 519, 1739, 2055, 1644, 547, 1483, 3734, 3871, 912, 9223, 476, 272, 563, 2252, 519, 1942, 540, 476, 274, 3440, 23445, 568, 19238, 373, 476, 1428, 267, 1287, 1018, 568, 519, 1942, 540, 476, 277, 971, 23445, 888, 274, 2433, 476, 1428, 2433, 2433, 476, 277, 2433, 1942, 454, 21798, 1535, 476, 274, 815, 476, 1428, 6398, 476, 277, 454, 30043, 8779, 815, 1109, 1428, 9943, 8287, 1109, 284, 19238, 373, 476, 1789, 692, 9223, 476, 273, 563, 1103, 513, 1153, 267, 585, 7598, 2048, 300, 573, 1554, 2725, 531, 685, 10325, 585, 1362, 23446, 540, 476, 2412, 1053, 789, 991, 476, 277, 4846, 338, 540, 7573, 585, 835, 1554, 563, 9217, 264, 1215, 1454, 7573, 568, 2877, 585, 476, 277, 2395, 888, 305, 823, 2838, 585, 476, 2412, 1053, 585, 835, 1554, 815, 476, 277, 4846, 338, 454, 305, 823, 2838, 585, 476, 277, 2395, 815, 476, 277, 6398, 476, 277, 815, 476, 3607, 4846, 692, 23870, 264, 1215, 1454, 7573, 568, 2877, 585, 476, 1015, 2395, 888, 305, 823, 2838, 585, 476, 1015, 2395, 815, 476, 1015, 6398, 476, 277, 815, 476, 2568, 4846, 692, 31702, 264, 1215, 1454, 7573, 568, 2877, 585, 476, 276, 2395, 888, 305, 823, 2838, 585, 476, 276, 2395, 815, 476, 276, 6398, 476, 277, 815, 476, 1789, 4846, 692, 4131, 779, 10812, 1496, 17273, 3143, 269, 476, 277, 6540, 9223, 476, 272, 563, 11693, 2630, 519, 1297, 540, 4600, 2324, 585, 4070, 540, 513, 2777, 543, 741, 13848, 538, 2698, 780, 4131, 779, 6056, 1496, 17273, 3143, 269, 476, 278, 6540, 9223, 476, 272, 563, 2252, 519, 1942, 540, 476, 275, 4063, 2835, 568, 476, 3199, 269, 1548, 1131, 581, 519, 1942, 540, 278, 4063, 2835, 286, 634, 1657, 1966, 666, 581, 12193, 676, 1210, 1770, 776, 1505, 269, 2052, 596, 4194, 286, 1215, 286, 6056, 563, 11693, 519, 1942, 540, 476, 275, 4063, 2835, 815, 19238, 373, 476, 3199, 454, 21798, 540, 476, 272, 4063, 1433, 815, 476, 3199, 21680, 476, 275, 815, 19238, 373, 476, 736, 454, 21798, 540, 476, 278, 4063, 2835, 815, 19238, 373, 476, 736, 6398, 476, 278, 454, 284, 19238, 373, 476, 9610, 692, 13425, 18776, 1496, 17273, 3143, 476, 278, 6540, 9223, 476, 272, 563, 293, 650, 538, 519, 1025, 3471, 267, 952, 519, 2016, 9424, 616, 538, 1463, 8167, 780, 4131, 779, 685, 1684, 11314, 1496, 17273, 3143, 269, 476, 279, 6540, 12648, 513, 9219, 543, 4368, 4706, 8792, 1688, 693, 513, 1880, 1297, 593, 9219, 630, 604, 621, 568, 476, 1321, 898, 786, 581, 2653, 1040, 3973, 1265, 543, 4063, 519, 7285, 1500, 676, 8792, 1688, 538, 1169, 476, 1428, 3764, 8884, 540, 942, 1384, 13425, 2436, 789, 616, 538, 1463, 8167, 610, 711, 2496, 1428, 2433, 476, 1789, 543, 476, 3445, 2433, 476, 5197, 454, 2080, 476, 272, 2433, 273, 815, 476, 272, 2433, 273, 454, 2252, 12753, 616, 3160, 267, 1287, 789, 616, 538, 1463, 8167, 563, 3383, 267, 942, 5293, 543, 5086, 616, 538, 25680, 14504, 339, 8167, 780, 4131, 779, 6056, 1496, 17273, 3143, 269, 476, 279, 6540, 9223, 476, 272, 563, 1432, 568, 519, 5086, 1500, 676, 3764, 1688, 538, 513, 8792, 888, 2171, 917, 5086, 1500, 676, 3764, 1688, 538, 476, 1428, 544, 815, 476, 3445, 4113, 454, 4131, 5086, 1500, 676, 3764, 1688, 538, 476, 272, 544, 815, 1535, 4113, 454, 10190, 476, 1428, 2433, 476, 272, 815, 476, 3445, 4113, 281, 1535, 4113, 454, 2252, 519, 12753, 616, 3160, 2676, 763, 1587, 540, 1797, 815, 634, 1587, 540, 26037, 454, 22382, 476, 1428, 6398, 1535, 815, 476, 272, 6398, 476, 3445, 4113, 454, 22382, 1109, 1428, 31915, 1428, 284, 3445, 272, 276, 454, 22382, 1535, 815, 476, 277, 4113, 454, 30043, 24234, 1500, 676, 3764, 1688, 538, 476, 272, 8792, 815, 476, 277, 4113, 692, 9223, 476, 273, 563, 1432, 568, 519, 5086, 1500, 676, 3108, 1688, 538, 835, 8792, 888, 2171, 917, 5086, 1500, 676, 3108, 1688, 538, 476, 272, 5662, 630, 2568, 3764, 264, 815, 476, 1789, 4113, 454, 4131, 5086, 1500, 676, 3108, 1688, 476, 272, 8792, 815, 1535, 4113, 454, 10190, 476, 2568, 2433, 476, 272, 815, 476, 1789, 4113, 281, 1535, 4113, 454, 2252, 519, 12753, 616, 3160, 2676, 763, 1587, 540, 1797, 815, 634, 1587, 540, 519, 26037, 454, 22382, 476, 2568, 6398, 1535, 815, 476, 272, 6398, 476, 1789, 454, 22382, 1109, 2568, 31915, 2568, 284, 27420, 271, 284, 1321, 454, 22382, 1535, 815, 1109, 1321, 1109, 263, 528, 264, 476, 271, 269, 276, 4113, 454, 30043, 24234, 1500, 267, 676, 3108, 1688, 538, 476, 272, 8792, 815, 1109, 1321, 4113, 630, 528, 264, 476, 271, 269, 276, 4113, 692, 13425, 707, 18776, 1496, 17273, 3143, 269, 476, 280, 6540, 9223, 476, 272, 563, 293, 650, 538, 519, 1025, 3471, 952, 519, 2016, 9424, 616, 538, 11201, 8167, 780, 13425, 707, 18776, 1496, 17273, 3143, 269, 476, 1724, 6540, 9223, 476, 272, 563, 22860, 572, 875, 519, 1614, 9424, 2016, 2630, 616, 1644, 543, 1265, 2048, 343, 685, 780, 5804, 519, 1657, 10484, 1892, 681, 566, 543, 519, 1297, 540, 2395, 616, 538, 11201, 569, 14354, 563, 1892, 681, 566, 543, 1297, 540, 2367, 616, 538, 2047, 14354, 563, 1892, 7089, 540, 2367, 568, 5673, 593, 1312, 681, 566, 543, 1297, 540, 2395, 780, 3383, 649, 723, 547, 1491, 7623, 5223, 540, 476, 10482, 2433, 476, 3583, 543, 476, 1839, 2433, 476, 1428, 454, 328, 269, 552, 1421, 476, 10482, 6398, 476, 1839, 2433, 476, 3583, 6398, 476, 1428, 454, 30043, 476, 1240, 2433, 1535, 815, 476, 10482, 6398, 476, 1839, 2433, 476, 3583, 6398, 476, 1428, 454, 2252, 519, 12753, 616, 3160, 563, 763, 8605, 540, 1797, 815, 634, 8605, 540, 26037, 454, 22382, 476, 10482, 6398, 476, 1839, 6398, 1535, 815, 476, 1240, 6398, 476, 3583, 6398, 476, 1428, 692, 30043, 1535, 815, 476, 278, 692, 4131, 779, 6056, 1496, 17273, 3143, 269, 476, 1240, 6540, 9223, 476, 272, 563, 288, 812, 1207, 903, 669, 4377, 919, 476, 1015, 585, 476, 1015, 8297, 701, 525, 543, 23619, 873, 693, 476, 1015, 585, 19238, 373, 476, 1321, 269, 6496, 713, 1267, 7443, 610, 2530, 7790, 1548, 2600, 888, 11693, 1942, 3902, 540, 476, 1015, 669, 4377, 919, 815, 19238, 373, 476, 1015, 454, 306, 2454, 3902, 540, 476, 1015, 669, 4377, 919, 815, 19238, 373, 476, 1321, 454, 9915, 3436, 8713, 267, 1287, 812, 4991, 7443, 563, 3682, 7257, 815, 590, 10422, 1107, 595, 10422, 454, 284, 476, 1321, 1107, 476, 1015, 815, 19238, 373, 476, 273, 454, 2171, 917, 7443, 2600, 692, 3682, 7257, 6871, 815, 476, 736, 30515, 9223, 476, 273, 563, 2252, 513, 6300, 24010, 11751, 865, 17304, 5036, 543, 4679, 741, 5777, 676, 476, 2004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 362, 552, 1350, 880, 3332, 513, 546, 9152, 527, 1470, 1863, 607, 835, 21017, 540, 519, 2698, 1557, 3296, 10096, 602, 519, 10584, 10305, 547, 519, 2540, 844, 2830, 269, 0, 20225, 476, 1691, 267, 476, 1001, 276, 1547, 26805, 29203, 281, 667, 2752, 5183, 1530, 4060, 1715, 1290, 22683, 7698, 543, 6713, 585, 19007, 9540, 20668, 269, 1715, 12432, 3049, 560, 4169, 1223, 2569, 519, 1942, 543, 2504, 942, 540, 1507, 267, 17426, 12432, 2694, 24568, 920, 2084, 4108, 1062, 2773, 543, 735, 7675, 1907, 1646, 543, 21753, 563, 7212, 3504, 538, 1523, 267, 519, 10853, 14226, 540, 12432, 2326, 568, 5266, 1007, 269, 634, 9266, 6240, 540, 5355, 4702, 2326, 676, 9256, 873, 547, 3132, 1007, 2326, 609, 3209, 3601, 814, 1266, 25311, 1007, 7835, 538, 2326, 1382, 543, 814, 18796, 5051, 10427, 563, 13356, 476, 272, 267, 476, 1001, 276, 1547, 1290, 1842, 2572, 723, 7153, 538, 2487, 1296, 607, 513, 3407, 1362, 540, 4702, 2326, 269, 1358, 2709, 1082, 10305, 711, 12492, 762, 609, 824, 2326, 1107, 789, 616, 17426, 267, 2943, 2709, 20765, 1107, 543, 607, 513, 1267, 666, 581, 4586, 15037, 476, 275, 267, 476, 1001, 277, 1547, 17593, 269, 634, 946, 540, 8715, 659, 23359, 3679, 630, 7246, 288, 264, 538, 4915, 729, 14605, 11567, 538, 519, 2250, 855, 666, 581, 540, 1390, 2956, 1317, 519, 25465, 540, 18038, 344, 777, 520, 924, 630, 11190, 264, 666, 1291, 547, 1007, 12432, 2326, 609, 1434, 3601, 1813, 547, 519, 2178, 6850, 18878, 4205, 1063, 1286, 7901, 2643, 622, 2516, 540, 563, 5445, 616, 10912, 741, 1007, 12432, 1570, 834, 684, 984, 1555, 1756, 1701, 4595, 519, 3735, 476, 4198, 271, 781, 267, 23825, 8030, 723, 1031, 519, 2165, 834, 684, 984, 1555, 1756, 257, 950, 13288, 547, 8966, 267, 1360, 14427, 610, 6167, 268, 984, 1555, 762, 2326, 269, 634, 2012, 796, 984, 1555, 1756, 949, 1256, 3280, 5432, 855, 596, 666, 1405, 3833, 1747, 519, 4704, 269, 8786, 267, 596, 31665, 621, 282, 898, 781, 519, 563, 13202, 476, 736, 267, 476, 1001, 278, 1547, 1280, 1312, 1007, 4070, 3785, 543, 22058, 566, 22812, 10293, 960, 267, 17426, 543, 14809, 15033, 5068, 12432, 2326, 14526, 609, 2757, 2326, 538, 10821, 267, 5010, 267, 543, 4853, 4070, 3156, 267, 1519, 10612, 267, 6656, 533, 4979, 585, 20808, 6821, 267, 30133, 267, 543, 6405, 563, 12914, 476, 1321, 267, 476, 1001, 276, 1547, 1452, 6080, 786, 581, 28006, 689, 2757, 2326, 899, 5374, 610, 4401, 538, 741, 2472, 547, 811, 4359, 12432, 2326, 585, 1896, 4128, 602, 594, 786, 1865, 2663, 269, 1290, 22683, 2326, 616, 711, 1007, 547, 519, 2344, 12415, 594, 786, 581, 6313, 267, 855, 789, 786, 1294, 1804, 4679, 538, 519, 2179, 540, 563, 8340, 1374, 543, 2504, 3377, 267, 5796, 543, 2934, 827, 29322, 5647, 267, 543, 12432, 2326, 269, 901, 3296, 6227, 1007, 543, 16678, 2326, 1519, 20249, 18674, 15229, 630, 293, 14641, 264, 689, 3327, 543, 4837, 26939, 267, 3134, 20293, 18300, 1949, 267, 840, 1790, 2958, 267, 27129, 23090, 267, 6915, 26939, 543, 2067, 29322, 267, 22130, 27260, 2414, 1711, 513, 1007, 1826, 540, 29512, 3154, 18236, 4494, 585, 513, 1164, 27529, 7250, 270, 1515, 12249, 3887, 937, 26299, 974, 9245, 4492, 1591, 630, 12487, 6261, 4932, 15598, 1070, 513, 1007, 1528, 4592, 335, 684, 3327, 6289, 1993, 9200, 630, 290, 22143, 9984, 22372, 3531, 514, 1242, 6289, 24899, 22683, 729, 4646, 269, 4706, 2497, 729, 6594, 676, 17655, 267, 1164, 6571, 6771, 543, 17655, 911, 563, 19878, 476, 1839, 267, 476, 1001, 277, 1547, 2311, 519, 476, 1001, 277, 674, 7568, 28386, 4139, 5794, 8058, 267, 1627, 6839, 328, 304, 30792, 513, 12432, 1570, 799, 621, 3081, 666, 948, 2569, 519, 1764, 540, 8484, 26301, 563, 6124, 476, 274, 291, 8228, 1184, 666, 1852, 6775, 10066, 538, 29322, 269, 589, 3209, 476, 274, 291, 8228, 1505, 666, 6556, 13778, 1852, 936, 519, 11460, 540, 2110, 11103, 11251, 538, 12249, 14290, 269, 476, 3066, 5130, 476, 1001, 279, 269, 19410, 1631, 563, 13356, 476, 866, 267, 476, 1001, 275, 1547, 1290, 22683, 2326, 1500, 540, 3327, 543, 4837, 616, 1818, 4028, 538, 30030, 883, 519, 2757, 6990, 585, 2679, 2326, 538, 3127, 267, 17116, 547, 1491, 621, 936, 563, 763, 12249, 18300, 5119, 1373, 7318, 585, 713, 1007, 1362, 540, 12432, 2326, 568, 1500, 689, 513, 2027, 19862, 540, 759, 591, 520, 1503, 267, 799, 666, 581, 17215, 543, 30396, 14475, 593, 606, 4853, 4336, 1210, 4359, 24684, 543, 18829, 267, 10736, 547, 513, 5687, 657, 23293, 1395, 9593, 267, 543, 1287, 12249, 2213, 563, 1607, 12905, 4320, 6799, 513, 2039, 540, 2565, 3584, 593, 519, 946, 540, 12432, 2326, 538, 3540, 4702, 282, 4853, 267, 5010, 267, 543, 10821, 3889, 282, 543, 8978, 5656, 269, 23305, 14304, 2553, 1759, 593, 12432, 2326, 267, 1519, 267, 855, 711, 3908, 547, 2676, 289, 6563, 532, 689, 2250, 787, 22730, 267, 8030, 1711, 6289, 565, 599, 1229, 29322, 269, 6396, 547, 10518, 7366, 540, 23282, 7051, 6106, 1223, 1930, 1007, 642, 626, 553, 538, 2326, 2257, 269, 5147, 476, 2641, 267, 476, 1001, 277, 563, 763, 2164, 540, 1896, 674, 303, 278, 3785, 7282, 1007, 2409, 540, 2504, 267, 4152, 543, 3156, 540, 12432, 2326, 18674, 676, 3327, 11103, 543, 3327, 3889, 543, 4496, 543, 17375, 29322, 585, 8143, 4027, 1062, 585, 2230, 3156, 786, 581, 4843, 693, 6069, 1623, 24007, 269, 7981, 942, 786, 581, 563, 28403, 1944, 519, 991, 585, 513, 811, 14388, 1570, 267, 19200, 12435, 862, 10642, 922, 1374, 540, 513, 1007, 3498, 1759, 593, 589, 15709, 6261, 292, 268, 275, 269, 634, 4874, 574, 728, 781, 30553, 19411, 919, 960, 13175, 538, 519, 3735, 476, 1960, 271, 338, 4724, 513, 1007, 12432, 1570, 269, 634, 3811, 17431, 540, 713, 589, 15709, 6261, 292, 268, 275, 2861, 1374, 19430, 519, 2029, 781, 563, 21801, 476, 1240, 267, 476, 1001, 276, 1547, 898, 781, 711, 513, 1007, 2856, 269, 18972, 723, 1044, 1210, 12432, 2326, 585, 5215, 540, 1296, 269, 6875, 16095, 20398, 585, 1383, 269, 1403, 596, 2119, 547, 18846, 513, 14735, 540, 12015, 16095, 267, 621, 786, 2736, 3362, 855, 621, 568, 2178, 952, 596, 2119, 547, 23601, 267, 610, 14771, 621, 269, 589, 4062, 540, 12450, 267, 593, 519, 824, 1688, 267, 814, 513, 2603, 540, 4222, 950, 596, 2119, 547, 12701, 621, 563, 6124, 12432, 1570, 1500, 540, 3327, 31407, 25683, 269, 11261, 281, 5437, 476, 2420, 267, 476, 1001, 278, 282, 11905, 281, 918, 1408, 2160, 282, 12834, 281, 9603, 547, 741, 2189, 3601, 267, 3327, 31407, 25683, 1131, 581, 4998, 585, 3875, 3156, 267, 855, 547, 4266, 789, 3112, 581, 5916, 18113, 609, 824, 2326, 267, 610, 789, 6336, 741, 6225, 3601, 269, 0, 8702, 547, 519, 4826, 21694, 6651, 267, 1141, 596, 666, 1265, 3730, 1344, 827, 519, 2959, 540, 1216, 5533, 543, 875, 789, 666, 581, 5701, 269, 4828, 593, 4826, 21694, 281, 9537, 267, 15486, 267, 12186, 543, 6513, 256, 1879, 519, 2298, 610, 5888, 540, 1216, 2242, 2047, 610, 18549, 607, 513, 1267, 540, 544, 753, 269, 2290, 540, 519, 2101, 4170, 540, 1053, 899, 596, 568, 547, 2328, 606, 1557, 593, 513, 2016, 1888, 269, 10749, 616, 851, 540, 519, 2296, 21038, 267, 543, 621, 568, 3622, 513, 4305, 4826, 5533, 568, 519, 5533, 540, 4703, 540, 1216, 267, 971, 607, 12647, 267, 8933, 267, 15798, 267, 519, 12084, 267, 607, 1134, 607, 15780, 269, 898, 4386, 950, 14107, 3914, 891, 4703, 540, 269, 4826, 5533, 3123, 616, 8947, 538, 713, 2376, 267, 519, 2034, 540, 513, 2185, 4820, 3126, 827, 1216, 5533, 269, 5239, 476, 276, 267, 476, 1001, 272, 4828, 258, 476, 274, 21694, 4523, 11613, 10876, 267, 1169, 2582, 2034, 540, 519, 1554, 267, 10876, 593, 3618, 269, 898, 5949, 538, 1022, 2749, 267, 1022, 4884, 269, 8866, 1451, 827, 1216, 5533, 543, 875, 621, 2360, 519, 1604, 543, 1072, 269, 5530, 3123, 267, 14107, 267, 2959, 267, 543, 5013, 1519, 3679, 4764, 269, 670, 622, 325, 516, 262, 630, 2005, 3513, 1118, 513, 3017, 264, 568, 513, 22692, 1788, 5859, 6322, 693, 10223, 519, 14686, 2427, 2360, 540, 1216, 5533, 538, 513, 1007, 3860, 1259, 269, 5463, 476, 4962, 267, 476, 1001, 277, 1692, 547, 21079, 4826, 21694, 269, 4826, 568, 835, 540, 519, 1158, 781, 1034, 1271, 2200, 267, 543, 649, 666, 782, 798, 938, 851, 547, 3247, 621, 689, 3478, 26130, 269, 6176, 827, 519, 2010, 267, 3123, 267, 543, 2360, 540, 1216, 5533, 543, 1018, 649, 666, 798, 547, 4194, 519, 1966, 269, 4826, 5533, 568, 1022, 3114, 267, 2168, 610, 6211, 1689, 538, 519, 2298, 540, 1216, 602, 814, 513, 5739, 1198, 593, 1022, 2713, 3364, 602, 269, 3371, 568, 707, 1863, 1557, 593, 21694, 256, 21694, 568, 513, 536, 2033, 585, 2486, 610, 1272, 269, 2353, 12204, 540, 3542, 1903, 899, 2011, 5533, 267, 1216, 5533, 267, 3280, 5533, 267, 6846, 269, 8437, 543, 8495, 519, 1114, 3123, 540, 1216, 5533, 269, 1548, 1198, 1281, 1216, 5533, 723, 286, 4826, 5533, 568, 1419, 2731, 29695, 547, 1413, 693, 281, 1100, 821, 15055, 547, 1294, 5068, 14569, 1792, 1233, 2066, 741, 5172, 11824, 610, 269, 12700, 6168, 4826, 21694, 9537, 540, 4826, 21694, 267, 15486, 543, 12186, 269, 4826, 5533, 568, 513, 6161, 585, 1169, 1268, 593, 519, 3618, 269, 4826, 5533, 568, 12526, 269, 13595, 281, 17796, 540, 4826, 21694, 513, 264, 1432, 616, 519, 2959, 540, 1216, 5533, 286, 536, 264, 1432, 616, 519, 2360, 540, 1216, 5533, 269, 7170, 20099, 7822, 28951, 281, 4826, 21694, 543, 25530, 4826, 10866, 2353, 1472, 519, 1158, 267, 2477, 616, 8165, 547, 1832, 741, 6704, 1216, 2973, 269, 5675, 606, 1557, 827, 1216, 5533, 568, 513, 14557, 577, 267, 2523, 952, 596, 557, 1044, 2542, 513, 2603, 827, 519, 1641, 269, 4826, 5533, 568, 513, 8912, 1888, 538, 1164, 1153, 2904, 476, 1789, 267, 476, 1001, 278, 21158, 827, 1216, 5533, 269, 19410, 776, 543, 31150, 1344, 827, 1216, 5533, 689, 634, 1715, 3840, 8648, 269, 17796, 540, 6704, 1216, 281, 634, 8783, 2959, 540, 1494, 762, 1216, 616, 519, 2627, 1216, 543, 2666, 1216, 269, 634, 2666, 1216, 568, 6537, 676, 2620, 8685, 1168, 20635, 543, 1216, 15450, 269, 0, 20091, 519, 1913, 593, 513, 2985, 267, 11504, 547, 4191, 543, 10898, 593, 519, 4155, 267, 543, 824, 4247, 4125, 8939, 4143, 1344, 689, 513, 4657, 6908, 540, 10444, 14242, 269, 3220, 269, 18536, 6153, 13118, 333, 543, 594, 723, 2919, 606, 2079, 4480, 547, 2736, 1524, 13796, 5542, 5759, 883, 741, 7145, 267, 26125, 267, 543, 13796, 8856, 563, 8138, 2425, 550, 3156, 540, 713, 4480, 723, 3177, 1007, 4030, 883, 519, 5900, 30102, 2349, 1074, 267, 519, 2360, 540, 562, 6260, 267, 519, 5759, 540, 1004, 609, 27577, 267, 543, 519, 1198, 540, 15087, 538, 533, 926, 13926, 2634, 2127, 269, 634, 2164, 538, 1142, 2013, 5815, 602, 5171, 2824, 689, 513, 6908, 711, 676, 10386, 519, 6429, 1310, 606, 18906, 1308, 29692, 5526, 267, 855, 2864, 676, 8066, 20422, 3688, 538, 513, 6908, 538, 513, 2790, 968, 321, 4428, 518, 5608, 543, 19952, 11006, 835, 540, 519, 10889, 1229, 11269, 609, 519, 29692, 269, 13437, 593, 713, 4305, 568, 849, 5532, 547, 519, 2010, 540, 18906, 1308, 10593, 602, 2049, 1282, 2542, 267, 543, 938, 5571, 960, 11394, 547, 3565, 811, 2047, 547, 519, 1620, 540, 519, 1909, 540, 891, 18906, 1308, 10593, 538, 2542, 269, 0, 21008, 2581, 1557, 30866, 27460, 454, 21008, 2581, 540, 13513, 540, 737, 2572, 538, 519, 30866, 27460, 543, 4487, 3771, 1245, 543, 519, 8695, 1775, 993, 2469, 547, 5635, 519, 13513, 540, 519, 30866, 30866, 27460, 14805, 894, 1557, 269, 769, 6476, 267, 18296, 993, 597, 689, 519, 30866, 27460, 543, 18296, 689, 519, 952, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1100, 3476, 6999, 547, 723, 519, 1557, 269, 634, 30866, 27460, 1433, 543, 7260, 5635, 543, 4334, 5635, 270, 4186, 2858, 1557, 1948, 272, 281, 950, 513, 7260, 568, 1500, 1759, 593, 513, 1433, 602, 6634, 540, 1004, 723, 1224, 269, 12226, 547, 782, 30866, 27460, 1557, 2055, 267, 2407, 1592, 540, 30866, 27460, 1557, 3584, 543, 519, 30866, 27460, 1557, 12987, 616, 10356, 1934, 269, 1923, 519, 30866, 27460, 543, 693, 821, 618, 3379, 621, 779, 4277, 547, 7747, 10486, 1063, 9413, 267, 543, 1247, 1455, 4798, 607, 2938, 1354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2971, 2162, 7531, 3698, 1820, 318, 4148, 4711, 10031, 825, 8173, 825, 2398, 6493, 782, 13366, 538, 674, 6369, 14899, 4756, 563, 825, 8173, 825, 585, 1883, 267, 1871, 538, 642, 1513, 263, 293, 6369, 14899, 1040, 19477, 10031, 1038, 1820, 31107, 1341, 1412, 2433, 1412, 1341, 1193, 263, 7407, 264, 9239, 3698, 1292, 10031, 825, 8173, 825, 6301, 1599, 454, 825, 8173, 825, 1948, 7179, 782, 4469, 4711, 547, 6166, 9936, 5468, 454, 825, 1820, 318, 4148, 4711, 10797, 825, 952, 711, 15259, 29624, 20216, 1235, 263, 293, 6369, 14899, 21606, 5091, 597, 2187, 1038, 15259, 6230, 8898, 15077, 263, 293, 6369, 14899, 21606, 5091, 597, 2020, 825, 1948, 14840, 519, 2866, 5106, 454, 825, 5721, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 16710, 1899, 7440, 454, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 4590, 825, 16163, 518, 14491, 318, 30348, 3488, 734, 323, 25699, 20189, 5200, 318, 28493, 3299, 1826, 284, 1598, 267, 9949, 284, 291, 13585, 318, 295, 2839, 291, 2894, 318, 7419, 3951, 306, 32707, 9128, 288, 17109, 2676, 13376, 948, 8782, 8333, 320, 9674, 1592, 540, 1297, 540, 4559, 538, 1142, 6456, 4494, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 734, 14048, 318, 3433, 3299, 1826, 284, 15615, 267, 9949, 284, 4041, 27073, 5058, 318, 305, 12442, 32707, 9128, 288, 17109, 2676, 13376, 948, 8782, 13981, 2557, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 734, 10946, 14067, 10134, 3299, 1826, 25507, 267, 9949, 284, 7246, 311, 318, 4306, 292, 4916, 32707, 9128, 288, 17109, 2676, 13376, 948, 8782, 10831, 540, 3268, 547, 2196, 26519, 269, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 734, 321, 2255, 15481, 3299, 1826, 25507, 267, 9949, 284, 289, 2969, 6224, 318, 10485, 30438, 32707, 9128, 288, 17109, 2676, 13376, 948, 8782, 289, 2255, 2450, 547, 2196, 26519, 269, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 734, 24834, 6958, 516, 336, 3299, 1826, 25507, 267, 9949, 284, 14110, 3201, 318, 293, 3918, 304, 32707, 9128, 288, 17109, 2676, 13376, 948, 8782, 293, 15968, 540, 6268, 593, 519, 1449, 1305, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 734, 11907, 5091, 597, 3299, 1826, 284, 1598, 267, 9949, 284, 291, 25353, 32707, 7644, 32707, 9128, 288, 17109, 2676, 13376, 948, 8782, 17445, 800, 585, 13936, 3403, 1239, 5073, 825, 674, 6369, 14899, 267, 10002, 1513, 539, 815, 16163, 518, 269, 27785, 318, 4385, 318, 16911, 10797, 825, 1292, 4590, 0, 5814, 15259, 1477, 5814, 13483, 29411, 274, 1477, 5814, 21795, 607, 19073, 21506, 5814, 11885, 607, 5286, 21506, 5814, 942, 5897, 3698, 1491, 17750, 28399, 825, 598, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 560, 4392, 6155, 321, 20298, 825, 6221, 12173, 815, 3403, 3488, 11767, 519, 2012, 540, 519, 6221, 2433, 1412, 3418, 825, 6221, 6831, 739, 815, 3403, 3488, 11767, 519, 1942, 540, 519, 6221, 2433, 1412, 3418, 825, 4266, 815, 3403, 3488, 11767, 519, 4266, 540, 6718, 538, 3898, 808, 3198, 476, 1321, 476, 1001, 280, 281, 1412, 3418, 825, 524, 815, 598, 333, 269, 19387, 14052, 825, 524, 20216, 31146, 3488, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 9276, 630, 2005, 655, 1257, 10691, 715, 26097, 267, 8779, 1257, 267, 11261, 1257, 10691, 715, 26097, 264, 20298, 825, 524, 20216, 31146, 3488, 27486, 12224, 5442, 15674, 9276, 630, 2005, 655, 267, 8779, 267, 11261, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 267, 7790, 264, 3299, 1496, 14403, 12173, 267, 6221, 6831, 739, 267, 4266, 29573, 825, 598, 333, 2593, 2466, 14052, 825, 598, 333, 25379, 31476, 3698, 4159, 28399, 825, 598, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 560, 4392, 6155, 321, 20298, 825, 524, 815, 598, 333, 269, 19387, 14052, 825, 1820, 3488, 346, 23901, 1015, 2410, 23901, 1015, 2410, 23901, 1015, 348, 8339, 8971, 3488, 11243, 3299, 1412, 21798, 3299, 1412, 14630, 10807, 3418, 825, 524, 20216, 31146, 3488, 10345, 22268, 2608, 20978, 9276, 20298, 825, 1592, 815, 524, 8807, 21255, 718, 14052, 825, 585, 1775, 538, 1592, 6769, 1038, 1820, 3488, 346, 23901, 736, 2410, 23901, 1015, 2410, 23901, 1015, 348, 8339, 8971, 9217, 314, 271, 3910, 1775, 314, 272, 3910, 1775, 314, 273, 8079, 3418, 825, 598, 333, 2593, 2466, 14052, 825, 598, 333, 25379, 31476, 3698, 1397, 318, 18782, 28442, 8029, 825, 598, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 560, 4392, 6155, 321, 20298, 825, 524, 815, 598, 333, 269, 19387, 14052, 825, 524, 20216, 31146, 3488, 10345, 22268, 2608, 20978, 9276, 18040, 16730, 30014, 2652, 630, 24047, 3299, 1496, 4067, 29573, 825, 1820, 2891, 10345, 24086, 19419, 8085, 4811, 14744, 825, 585, 1775, 538, 524, 8807, 21255, 718, 28399, 1038, 1820, 3488, 346, 23901, 736, 2410, 23901, 1015, 2410, 23901, 1015, 348, 8339, 8971, 9217, 314, 271, 3910, 1775, 314, 272, 3910, 1775, 314, 273, 8079, 3418, 825, 598, 333, 2593, 2466, 14052, 825, 598, 333, 25379, 14052, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5035, 966, 2131, 30004, 10031, 825, 5727, 31807, 2840, 1654, 19241, 23152, 562, 525, 5886, 573, 597, 20701, 288, 815, 966, 2131, 30004, 10797, 2745, 10490, 994, 2745, 10490, 14857, 25269, 1029, 264, 11434, 1948, 5886, 928, 476, 850, 24924, 326, 8270, 513, 9809, 13799, 330, 4594, 320, 692, 288, 13885, 815, 476, 279, 3546, 1948, 25975, 15662, 509, 2131, 32499, 3331, 370, 345, 22088, 30322, 328, 10153, 5733, 320, 13005, 693, 599, 8494, 597, 714, 454, 288, 11859, 815, 476, 277, 3097, 2745, 10490, 11859, 264, 17264, 1948, 1002, 320, 2357, 1889, 345, 5067, 340, 9809, 476, 277, 15074, 597, 692, 5035, 966, 2131, 30004, 273, 10031, 825, 5727, 31807, 2840, 1654, 19241, 23152, 562, 525, 5886, 573, 597, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2567, 825, 1948, 338, 13799, 333, 13799, 325, 1775, 9809, 785, 2131, 328, 1200, 535, 517, 330, 1775, 9809, 514, 476, 20488, 4164, 564, 1066, 514, 454, 14030, 1948, 1345, 10153, 5733, 13799, 575, 699, 7288, 344, 528, 563, 1038, 1820, 2891, 289, 597, 966, 2131, 30004, 273, 562, 525, 5886, 328, 522, 1663, 26535, 339, 584, 592, 706, 257, 9239, 288, 273, 815, 966, 2131, 30004, 273, 263, 277, 267, 279, 2020, 258, 1820, 10490, 273, 11859, 264, 3331, 356, 531, 13799, 26535, 332, 1794, 2144, 328, 26535, 655, 5674, 714, 692, 5035, 966, 2131, 30004, 274, 10031, 825, 5727, 31807, 2840, 1654, 19241, 23152, 562, 525, 5886, 573, 597, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 1038, 1582, 11859, 815, 1535, 25639, 1948, 25975, 15662, 509, 2131, 32499, 16009, 13799, 6447, 1513, 752, 2144, 328, 26535, 20623, 559, 597, 714, 454, 1038, 1582, 13885, 815, 586, 25639, 1948, 25975, 15662, 509, 2131, 32499, 16009, 13799, 6447, 1513, 752, 2144, 328, 26535, 20623, 559, 597, 714, 692, 825, 1219, 1654, 19241, 528, 684, 289, 1195, 340, 4311, 2567, 8587, 1948, 1345, 1775, 586, 1794, 332, 1794, 338, 752, 546, 13799, 26535, 541, 13799, 323, 534, 2144, 328, 26535, 655, 5674, 714, 454, 1038, 7911, 815, 630, 1345, 11859, 1262, 273, 1341, 1582, 13885, 1262, 273, 264, 2878, 476, 271, 269, 276, 454, 1038, 2132, 7911, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2567, 19930, 1948, 25975, 1505, 562, 525, 333, 523, 514, 586, 1794, 323, 13799, 337, 13799, 333, 8619, 513, 9809, 13799, 330, 4594, 553, 13799, 1775, 9809, 514, 454, 1038, 2132, 9497, 260, 10972, 1341, 4939, 323, 329, 257, 4939, 630, 1345, 11859, 267, 1582, 13885, 11723, 825, 1219, 6449, 5417, 9191, 1345, 267, 1654, 19241, 528, 301, 525, 5886, 328, 2567, 825, 1948, 28072, 20358, 532, 585, 30492, 1038, 2132, 966, 2131, 30004, 274, 4311, 11859, 1341, 1654, 19241, 528, 301, 525, 5886, 328, 11859, 267, 1582, 13885, 1341, 1654, 19241, 528, 301, 525, 5886, 328, 13885, 2020, 825, 1219, 6449, 25885, 9191, 1345, 267, 1654, 19241, 528, 301, 525, 5886, 328, 2567, 11434, 1948, 28072, 20358, 532, 585, 3436, 543, 2999, 454, 1038, 952, 4311, 269, 557, 19241, 528, 684, 289, 1195, 340, 3890, 3436, 1654, 19241, 528, 301, 525, 5886, 328, 269, 557, 19241, 528, 684, 289, 1195, 340, 3890, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 13872, 288, 274, 815, 966, 2131, 30004, 274, 263, 277, 267, 279, 2020, 2745, 10490, 274, 269, 557, 19241, 528, 684, 289, 1195, 340, 31156, 288, 274, 11859, 815, 476, 2190, 454, 2745, 10490, 274, 269, 557, 19241, 528, 684, 289, 1195, 340, 31156, 2745, 10490, 274, 264, 13376, 1948, 1029, 516, 1440, 1029, 1558, 617, 340, 1821, 516, 6614, 575, 790, 576, 330, 692, 289, 815, 966, 2131, 30004, 274, 263, 276, 267, 476, 273, 994, 290, 815, 966, 2131, 30004, 274, 263, 272, 267, 476, 278, 994, 291, 815, 645, 1341, 595, 454, 2745, 20573, 2020, 529, 15124, 815, 645, 3436, 595, 454, 529, 22102, 815, 667, 2999, 589, 274, 454, 2745, 263, 529, 15124, 994, 2745, 263, 529, 22102, 9239, 5035, 661, 2041, 557, 2106, 1384, 825, 1219, 3045, 523, 514, 306, 659, 305, 1263, 328, 4311, 2187, 1038, 2132, 1412, 338, 541, 13799, 28847, 825, 1219, 3777, 534, 514, 7883, 345, 305, 1263, 328, 4311, 2187, 1038, 2132, 1412, 332, 822, 328, 262, 7531, 5035, 23081, 4157, 27887, 2041, 557, 2106, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 740, 328, 815, 15234, 2187, 1038, 1582, 269, 14508, 815, 740, 328, 692, 825, 1219, 5485, 305, 1263, 328, 4311, 2187, 1038, 1820, 4311, 269, 14508, 267, 834, 514, 1094, 9809, 556, 978, 328, 18665, 6255, 655, 601, 523, 2580, 1582, 269, 2335, 523, 514, 306, 659, 305, 1263, 328, 19572, 834, 565, 659, 752, 339, 13799, 337, 15419, 825, 1219, 3777, 534, 514, 7883, 345, 305, 1263, 328, 4311, 2567, 17264, 1948, 24709, 936, 337, 4575, 454, 1038, 1820, 2891, 385, 508, 574, 10972, 536, 684, 340, 21536, 332, 12011, 528, 15120, 257, 9239, 9593, 815, 23081, 4157, 3488, 383, 500, 1067, 5073, 9593, 4732, 659, 305, 1263, 328, 10797, 2745, 263, 9593, 12500, 629, 534, 514, 7883, 345, 305, 1263, 328, 3890, 9239, 5035, 2549, 8619, 1384, 825, 1219, 993, 4754, 514, 306, 659, 31738, 328, 4311, 2187, 1038, 2132, 834, 330, 13799, 341, 13799, 21683, 13799, 330, 5016, 454, 5035, 23081, 4157, 273, 27887, 2041, 557, 2106, 267, 2549, 8619, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 740, 328, 815, 15234, 2187, 1038, 1582, 269, 14508, 815, 740, 328, 692, 825, 1219, 5485, 305, 1263, 328, 4311, 2187, 1038, 1820, 4311, 269, 14508, 267, 834, 514, 1094, 9809, 556, 978, 328, 18665, 6255, 655, 601, 523, 2580, 1582, 269, 2335, 523, 514, 306, 659, 305, 1263, 328, 19572, 834, 565, 659, 752, 339, 13799, 337, 15419, 825, 1219, 5485, 328, 4311, 2187, 1038, 1820, 4311, 269, 14508, 267, 834, 514, 1094, 9809, 13799, 2580, 1582, 269, 2335, 523, 514, 306, 659, 305, 1263, 328, 19572, 1412, 557, 3299, 1582, 269, 600, 4754, 514, 306, 659, 31738, 328, 19572, 834, 565, 8494, 597, 1701, 9239, 9593, 273, 815, 23081, 4157, 273, 2891, 383, 500, 1067, 5602, 9593, 273, 4732, 659, 328, 10797, 19638, 19638, 19638, 692, 672, 692, 7531, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 338, 815, 1412, 276, 7055, 328, 815, 703, 4433, 2020, 328, 273, 815, 476, 279, 454, 338, 273, 815, 1193, 9217, 273, 2020, 328, 274, 815, 476, 276, 454, 325, 815, 10581, 9217, 274, 2020, 2745, 9217, 994, 2745, 4433, 273, 994, 2745, 6600, 2020, 0, 258, 4530, 585, 27707, 454, 258, 5124, 3009, 585, 18570, 519, 1913, 3097, 12248, 284, 18743, 4590, 1467, 284, 3863, 17750, 2891, 19515, 6919, 815, 1899, 21858, 4590, 2745, 263, 6919, 2437, 315, 333, 5602, 1721, 2262, 538, 1913, 912, 453, 12248, 314, 5320, 24557, 12248, 10947, 27182, 267, 271, 11924, 272, 454, 2745, 6262, 870, 2437, 315, 333, 5602, 5894, 284, 4289, 4590, 1598, 5894, 284, 4289, 4590, 1721, 737, 267, 341, 538, 1293, 29096, 10031, 453, 343, 14352, 341, 267, 330, 994, 453, 5894, 6910, 3287, 994, 5894, 284, 338, 9285, 263, 5894, 267, 516, 2091, 18989, 994, 1721, 642, 2073, 330, 538, 561, 529, 912, 453, 343, 14352, 330, 267, 341, 994, 453, 1598, 5894, 6910, 3287, 994, 2745, 19304, 5894, 11468, 1015, 7481, 0, 26611, 16535, 270, 7090, 274, 5897, 5814, 2979, 1477, 5814, 15259, 1477, 5814, 4351, 1477, 5814, 556, 1477, 5814, 19523, 24653, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 822, 21754, 12921, 779, 12284, 543, 1004, 593, 519, 6532, 538, 30418, 621, 606, 28102, 1533, 281, 519, 8168, 6243, 540, 519, 590, 841, 832, 543, 10783, 816, 5174, 4265, 619, 540, 10878, 20811, 541, 269, 382, 373, 454, 288, 7219, 547, 519, 8168, 8128, 267, 513, 7027, 540, 24447, 685, 2155, 1170, 1513, 12199, 519, 6216, 1007, 14081, 267, 609, 8891, 878, 1156, 14150, 607, 922, 11381, 269, 634, 14643, 3769, 862, 1170, 1513, 585, 8804, 267, 1857, 1134, 1373, 267, 543, 267, 2663, 267, 18375, 269, 898, 10123, 3323, 26004, 513, 2497, 267, 5697, 513, 3854, 1558, 24227, 630, 1492, 8498, 540, 700, 1735, 752, 3121, 593, 519, 7013, 5032, 1070, 7550, 968, 763, 4139, 324, 892, 1317, 519, 18487, 1884, 1335, 267, 543, 6074, 606, 29450, 626, 9206, 585, 519, 4182, 563, 2005, 729, 606, 2309, 324, 942, 269, 6480, 517, 2103, 17388, 936, 519, 4182, 779, 7115, 6466, 519, 12157, 9917, 12858, 802, 10692, 547, 1832, 909, 1648, 538, 6576, 6466, 20866, 27410, 513, 4708, 14097, 609, 5125, 269, 19759, 569, 267, 9444, 7902, 547, 2628, 513, 2603, 7156, 547, 713, 1007, 14081, 563, 32381, 540, 519, 6654, 1434, 15752, 540, 8891, 878, 1156, 14150, 779, 1533, 267, 519, 14081, 4769, 1406, 3803, 17890, 563, 4002, 5988, 476, 1704, 267, 609, 4708, 14097, 16395, 1063, 5125, 543, 6576, 11877, 532, 267, 32157, 22255, 514, 10288, 6576, 779, 27397, 18239, 547, 23603, 689, 30460, 4883, 547, 670, 1564, 1074, 328, 267, 18940, 269, 634, 1739, 1554, 267, 4436, 10136, 22983, 6480, 8205, 269, 1635, 5988, 476, 1839, 267, 789, 9676, 30460, 4883, 269, 2334, 729, 10423, 569, 1932, 9505, 585, 10878, 20811, 541, 779, 1007, 8128, 269, 1924, 593, 5988, 476, 2918, 267, 519, 28592, 972, 1305, 1055, 585, 670, 1564, 1074, 328, 593, 519, 8891, 1886, 822, 21754, 12921, 269, 6145, 519, 14230, 540, 519, 27397, 18239, 267, 789, 6038, 10356, 593, 519, 18239, 779, 1034, 1271, 3490, 538, 918, 1258, 26684, 339, 267, 6576, 563, 307, 2297, 8428, 593, 1018, 7018, 950, 519, 8168, 6243, 540, 10878, 20811, 541, 15702, 269, 4107, 2959, 2161, 519, 28592, 6926, 342, 909, 519, 6830, 5874, 543, 7784, 900, 2897, 906, 267, 538, 1840, 547, 513, 5939, 267, 4505, 982, 6028, 269, 11524, 17551, 519, 4436, 13639, 10032, 873, 4505, 982, 10205, 532, 519, 6532, 593, 519, 9096, 540, 519, 6560, 269, 1809, 9444, 8891, 878, 1156, 14150, 779, 6862, 519, 6532, 779, 2990, 538, 3140, 2250, 8694, 1287, 563, 7212, 1010, 14081, 540, 25501, 543, 28183, 26767, 5747, 1310, 18923, 476, 3583, 2395, 267, 8891, 878, 1156, 14150, 779, 8226, 538, 4838, 4769, 1406, 563, 3080, 6739, 2272, 3081, 1010, 5784, 3366, 519, 8891, 1886, 822, 21754, 12921, 779, 4971, 547, 1629, 984, 559, 1125, 1864, 1369, 519, 5614, 540, 476, 4489, 279, 269, 898, 8039, 602, 646, 5462, 547, 2132, 547, 12907, 2705, 729, 18486, 593, 519, 1259, 538, 799, 269, 2991, 1614, 3275, 538, 21569, 267, 8891, 878, 1156, 14150, 27333, 8120, 607, 513, 804, 17064, 593, 519, 8891, 1886, 822, 21754, 12921, 543, 8678, 519, 19797, 9919, 30503, 1674, 563, 3719, 267, 538, 4728, 476, 4572, 272, 267, 646, 3366, 7366, 540, 25501, 543, 1866, 1369, 519, 918, 1258, 26684, 339, 32574, 267, 513, 476, 1626, 6377, 27693, 538, 11685, 547, 519, 12157, 9917, 341, 1731, 8128, 269, 634, 12157, 9917, 12858, 802, 7387, 539, 519, 4884, 543, 964, 6312, 3481, 7366, 540, 25968, 13639, 10136, 547, 24807, 519, 1202, 18675, 269, 8891, 878, 1156, 14150, 23012, 547, 18940, 2705, 729, 18486, 543, 8120, 547, 519, 8168, 5742, 538, 4989, 476, 3707, 276, 269, 1261, 729, 26722, 540, 10362, 547, 513, 968, 322, 3300, 3146, 23728, 776, 22681, 1895, 892, 543, 5747, 538, 21569, 593, 4873, 476, 273, 267, 476, 3707, 278, 563, 2026, 585, 10878, 20811, 541, 267, 519, 4436, 13639, 13026, 621, 585, 513, 2603, 540, 2622, 11135, 4083, 269, 2991, 1036, 8724, 621, 267, 519, 8168, 5742, 1500, 621, 513, 6806, 8168, 7952, 3490, 609, 835, 540, 1082, 4102, 15327, 543, 16292, 17346, 585, 8168, 17189, 15183, 269, 2991, 519, 15489, 540, 519, 8168, 5742, 267, 519, 6532, 26871, 1540, 547, 519, 2359, 540, 519, 6216, 1007, 267, 28102, 6480, 20897, 8128, 269, 898, 10294, 782, 519, 6532, 513, 2470, 6288, 543, 9856, 539, 5726, 2230, 538, 476, 1960, 276, 563, 2368, 2959, 2012, 621, 519, 968, 306, 990, 2884, 6243, 540, 519, 18858, 641, 619, 543, 10783, 816, 5174, 4265, 619, 540, 10878, 20811, 541, 3034, 10059, 2517, 20931, 1993, 344, 16518, 2593, 270, 1492, 1532, 4361, 3734, 6361, 7308, 27940, 341, 2884, 3146, 21504, 6361, 1606, 841, 832, 7146, 1922, 677, 816, 1532, 4265, 619, 1922, 324, 272, 322, 271, 742, 8619, 320, 273, 323, 286, 26625, 569, 284, 337, 1087, 1765, 268, 10602, 323, 279, 8619, 2568, 273, 276, 323, 274, 1765, 275, 261, 22080, 284, 324, 274, 659, 325, 321, 4097, 324, 276, 322, 278, 1923, 634, 570, 3637, 17151, 8135, 540, 519, 8168, 6243, 540, 590, 841, 832, 543, 10783, 816, 5174, 4265, 619, 1923, 676, 7033, 2983, 321, 28496, 1923, 9484, 267, 476, 1708, 272, 0, 300, 14709, 18582, 5459, 267, 513, 476, 273, 18881, 6040, 267, 814, 1305, 513, 1007, 2594, 1310, 1373, 4535, 689, 606, 21872, 13792, 538, 476, 1960, 273, 563, 5475, 10010, 609, 26983, 585, 1296, 267, 570, 2088, 543, 5484, 18582, 5459, 4956, 547, 1413, 883, 12561, 513, 1126, 269, 1717, 267, 513, 6049, 1289, 689, 570, 2088, 779, 3237, 1500, 873, 2015, 21872, 10073, 269, 1358, 1287, 30409, 519, 2817, 21150, 787, 334, 5213, 566, 4741, 630, 301, 3633, 290, 264, 538, 17906, 269, 634, 715, 3633, 290, 8637, 30694, 24201, 689, 2550, 945, 723, 22734, 10001, 293, 630, 514, 20117, 22289, 1040, 634, 21872, 568, 13792, 543, 6740, 11489, 606, 9772, 633, 2385, 568, 1336, 585, 21856, 563, 1103, 476, 1001, 278, 519, 18582, 5459, 779, 7800, 652, 8250, 267, 21877, 267, 729, 4535, 1210, 513, 476, 2190, 4458, 6040, 21872, 269, 634, 13074, 1922, 549, 7999, 21872, 693, 519, 942, 269, 1717, 267, 1200, 11078, 631, 14709, 31231, 12076, 18582, 5459, 267, 814, 1631, 7745, 602, 2594, 563, 763, 476, 2767, 4458, 6040, 31530, 7999, 21150, 787, 334, 454, 1103, 5988, 540, 713, 1032, 267, 570, 2088, 18582, 5459, 23384, 15498, 566, 609, 513, 476, 2767, 4458, 6040, 13792, 21872, 269, 4935, 267, 631, 14709, 729, 4535, 269, 4340, 547, 519, 715, 3633, 290, 267, 631, 14709, 779, 568, 519, 1158, 779, 9510, 21872, 547, 723, 8507, 538, 513, 2661, 4332, 269, 5637, 21877, 543, 631, 14709, 616, 4719, 16254, 607, 1312, 519, 24201, 941, 24603, 543, 13792, 1927, 538, 476, 1960, 273, 563, 4415, 2025, 24201, 519, 2243, 14340, 2436, 789, 616, 14323, 610, 711, 269, 1703, 568, 4867, 1100, 2963, 540, 2025, 24201, 4611, 538, 1453, 609, 17244, 269, 1717, 267, 13792, 24201, 689, 519, 476, 2735, 271, 338, 616, 3622, 1558, 609, 27421, 1813, 547, 519, 16171, 4480, 1031, 1394, 1287, 563, 763, 18582, 5459, 6690, 616, 1312, 2564, 2261, 12069, 269, 5015, 267, 741, 24570, 22937, 17258, 547, 519, 23812, 540, 2025, 24201, 563, 8489, 1705, 519, 16176, 321, 17879, 2097, 689, 888, 306, 852, 321, 17879, 568, 513, 2165, 1031, 585, 10503, 513, 13792, 21872, 609, 513, 1761, 540, 2661, 4332, 563, 32481, 476, 1428, 260, 547, 476, 736, 260, 540, 519, 942, 10001, 293, 2164, 538, 3606, 24201, 269, 13575, 711, 2838, 676, 519, 7008, 607, 789, 1745, 741, 1920, 568, 2347, 269, 4475, 267, 519, 24201, 616, 13792, 543, 6740, 585, 21856, 269, 6969, 513, 13792, 21872, 666, 581, 5579, 5896, 883, 519, 19786, 540, 606, 9772, 633, 2385, 267, 621, 568, 555, 31090, 269, 27051, 476, 4037, 260, 540, 519, 24201, 7639, 519, 555, 1177, 532, 543, 4483, 1184, 269, 0, 1607, 1353, 6663, 547, 8495, 12636, 4992, 689, 513, 5133, 602, 1131, 1118, 741, 946, 585, 10368, 5301, 540, 1022, 11983, 21454, 2009, 269, 4658, 609, 12636, 2042, 666, 581, 5462, 1210, 4745, 4992, 6394, 689, 519, 3238, 1858, 540, 519, 11983, 9587, 540, 5396, 269, 769, 938, 3280, 10471, 267, 621, 568, 4767, 602, 513, 2048, 28781, 685, 3280, 568, 9571, 538, 2043, 945, 616, 7092, 689, 1970, 1394, 1928, 269, 16680, 539, 4745, 4992, 616, 9286, 1210, 13128, 4633, 6284, 5690, 269, 5283, 23151, 524, 788, 1598, 636, 14170, 630, 300, 293, 6717, 264, 616, 13939, 689, 519, 3280, 6786, 607, 4183, 10321, 269, 631, 293, 6717, 779, 616, 9286, 1210, 606, 5841, 8849, 5121, 267, 799, 568, 4867, 519, 1533, 6361, 7308, 19603, 4633, 6284, 1907, 269, 634, 5690, 814, 513, 1164, 1967, 2557, 540, 16326, 2048, 28781, 685, 4992, 538, 513, 2016, 3280, 5365, 543, 621, 666, 9985, 2697, 543, 16174, 2635, 2043, 689, 14432, 5396, 538, 938, 1239, 1305, 269, 1975, 710, 4992, 723, 519, 1761, 540, 7674, 607, 513, 6325, 15262, 540, 519, 12636, 1072, 563, 1607, 568, 513, 12744, 540, 20478, 1543, 267, 1569, 3842, 707, 9872, 563, 24246, 2582, 2376, 454, 9743, 656, 1569, 547, 519, 2407, 2376, 7300, 563, 307, 1314, 9819, 786, 581, 3803, 2213, 1282, 2638, 719, 563, 293, 3072, 569, 267, 808, 1421, 5776, 320, 1068, 267, 595, 1421, 26960, 267, 700, 12727, 25731, 5735, 540, 12636, 1416, 281, 519, 1394, 1928, 14196, 269, 4284, 269, 2405, 269, 23488, 559, 269, 7885, 269, 3345, 2549, 269, 476, 2641, 263, 275, 1070, 476, 4792, 280, 1700, 277, 6507, 630, 1001, 271, 994, 301, 629, 12011, 5271, 267, 966, 1421, 15718, 7315, 267, 590, 1421, 3600, 16619, 30322, 1663, 267, 661, 12727, 5617, 513, 30322, 337, 13799, 338, 13799, 24229, 16009, 13799, 1654, 22788, 822, 328, 3473, 528, 527, 5733, 13799, 269, 570, 5588, 289, 2839, 667, 1120, 27599, 476, 1691, 267, 476, 26237, 1700, 25172, 630, 1001, 276, 1040, 630, 514, 15349, 994, 290, 571, 1067, 267, 717, 6185, 1421, 14863, 822, 747, 267, 631, 1421, 645, 7702, 267, 623, 1421, 17664, 267, 918, 12727, 589, 23250, 1353, 547, 2708, 19089, 543, 3280, 689, 1990, 17789, 777, 4451, 572, 531, 10549, 1282, 5163, 1354, 543, 1310, 11983, 12879, 269, 808, 269, 28294, 269, 4284, 2723, 269, 14562, 269, 476, 2412, 263, 274, 1070, 476, 6942, 1700, 1220, 630, 1001, 278, 994, 300, 3326, 534, 267, 681, 6993, 11065, 1421, 918, 1716, 2129, 534, 267, 717, 15030, 1421, 20242, 1562, 267, 623, 13034, 12727, 1488, 974, 2399, 11402, 676, 519, 19089, 7020, 1062, 269, 808, 269, 4437, 727, 577, 269, 476, 1626, 263, 274, 1070, 476, 4350, 1700, 1960, 630, 2735, 274, 994, 313, 28702, 267, 962, 269, 570, 1421, 681, 836, 599, 12505, 681, 269, 631, 1421, 7671, 595, 269, 645, 1421, 13852, 717, 269, 667, 1421, 28247, 569, 918, 269, 744, 1421, 20568, 2098, 269, 1627, 12727, 19032, 540, 12597, 3280, 6786, 1210, 8849, 5121, 281, 513, 16861, 1353, 269, 769, 281, 594, 17129, 3633, 4139, 10985, 593, 16869, 7010, 543, 22532, 17978, 267, 6032, 269, 476, 2568, 1700, 7830, 630, 1960, 271, 994, 298, 16194, 22974, 267, 590, 1421, 681, 836, 599, 12505, 267, 681, 8160, 1421, 13852, 267, 717, 6185, 1421, 7671, 267, 595, 11065, 1421, 28247, 569, 267, 918, 20166, 12727, 11154, 633, 19003, 267, 20592, 543, 8760, 540, 12597, 4745, 642, 756, 549, 14390, 5766, 1429, 545, 6786, 585, 1875, 29554, 5868, 540, 1148, 7781, 20162, 21454, 269, 2405, 269, 22776, 269, 1621, 269, 6156, 476, 3374, 263, 277, 1070, 476, 277, 6507, 1700, 6924, 275, 630, 1960, 278, 994, 305, 836, 599, 12505, 267, 681, 8160, 1421, 9986, 537, 14741, 267, 674, 1421, 18961, 1421, 962, 1421, 595, 2967, 267, 590, 12727, 674, 847, 531, 2079, 540, 12597, 18191, 2002, 642, 756, 549, 14390, 5766, 1429, 545, 6786, 3842, 1379, 19706, 2079, 269, 4437, 15701, 269, 28686, 6713, 269, 6513, 476, 279, 263, 272, 1070, 476, 2537, 1700, 3066, 630, 1001, 274, 994, 307, 822, 987, 807, 267, 590, 1421, 681, 836, 599, 12505, 267, 681, 8160, 1421, 7671, 267, 595, 11065, 1421, 13852, 267, 717, 6185, 1421, 28247, 569, 267, 918, 20166, 1421, 18681, 267, 962, 11053, 12727, 5811, 540, 12597, 19089, 6786, 1210, 5276, 12605, 269, 20959, 3690, 269, 4437, 15701, 269, 1621, 269, 476, 4375, 263, 280, 1070, 476, 4817, 280, 1700, 280, 3583, 630, 1960, 273, 994, 288, 6277, 2714, 267, 590, 5861, 1421, 23045, 267, 631, 6185, 12727, 966, 12299, 818, 628, 668, 4479, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2467, 616, 5722, 17407, 593, 3047, 1631, 281, 4000, 267, 19778, 267, 5607, 267, 5245, 267, 589, 7792, 4976, 593, 17407, 543, 12084, 267, 609, 513, 2110, 1257, 267, 513, 4786, 547, 6003, 563, 19185, 585, 513, 7792, 7801, 4786, 540, 519, 476, 276, 12084, 286, 1284, 723, 2966, 513, 2688, 4786, 602, 814, 513, 2241, 7688, 827, 519, 476, 276, 12084, 543, 513, 8799, 2681, 762, 1374, 563, 288, 13561, 10145, 4786, 269, 2349, 1678, 2622, 10934, 547, 6003, 17407, 543, 12084, 689, 631, 1901, 547, 26821, 519, 6753, 543, 4408, 540, 519, 12084, 543, 17407, 269, 476, 276, 3275, 3516, 27751, 3371, 616, 476, 274, 14565, 540, 960, 585, 5729, 476, 278, 563, 19530, 762, 476, 278, 17407, 543, 476, 276, 12084, 4786, 910, 476, 31229, 2495, 2171, 1430, 2859, 3163, 6096, 269, 8033, 757, 543, 744, 10895, 281, 15026, 3367, 7146, 5025, 985, 4546, 8018, 589, 7792, 4976, 593, 17407, 543, 12084, 267, 609, 513, 2110, 1257, 267, 513, 4786, 547, 6003, 267, 543, 2055, 547, 2626, 269, 898, 568, 513, 2407, 10325, 540, 960, 609, 7923, 1379, 2798, 267, 1568, 327, 1862, 700, 17999, 23117, 769, 634, 2622, 269, 3502, 8616, 513, 16588, 286, 2136, 8003, 910, 11572, 10934, 901, 3109, 7146, 22554, 4786, 540, 519, 5177, 814, 10665, 543, 10297, 585, 519, 2185, 2477, 540, 519, 2136, 8003, 563, 294, 600, 652, 641, 562, 25632, 281, 15026, 476, 278, 17407, 543, 476, 276, 12084, 4786, 454, 347, 2641, 3109, 329, 871, 1863, 3014, 2228, 1475, 302, 10895, 21476, 267, 2831, 267, 2257, 267, 2238, 543, 824, 1344, 593, 12084, 269, 2422, 713, 1863, 7792, 4786, 609, 938, 5360, 9323, 547, 4001, 1453, 827, 519, 1158, 789, 2661, 538, 543, 5000, 741, 5876, 538, 513, 1187, 1604, 269, 1411, 666, 12575, 519, 2934, 596, 6999, 707, 10453, 547, 1039, 269, 15486, 540, 6820, 654, 9879, 269, 16661, 2859, 3163, 6096, 269, 5410, 519, 10297, 585, 17407, 543, 12084, 269, 23452, 538, 519, 7330, 2859, 15154, 10658, 26072, 8198, 347, 19530, 762, 476, 278, 17407, 543, 476, 276, 12084, 4786, 1475, 275, 4792, 2008, 347, 19530, 762, 476, 278, 17407, 543, 476, 276, 12084, 4786, 1475, 30153, 23863, 10367, 2592, 347, 0, 17954, 752, 12537, 543, 15822, 3835, 532, 585, 23340, 5516, 3464, 912, 293, 8803, 1416, 3464, 949, 1265, 2933, 6849, 7180, 602, 3340, 513, 17872, 3210, 610, 513, 2168, 6304, 593, 741, 851, 269, 901, 1576, 2488, 873, 609, 519, 1620, 540, 950, 971, 513, 3210, 568, 2556, 543, 3656, 543, 875, 547, 4019, 602, 3210, 538, 513, 1259, 602, 24947, 519, 6536, 1126, 779, 2924, 543, 8699, 563, 5719, 5586, 919, 1590, 723, 13984, 519, 5668, 27701, 29007, 1576, 547, 581, 4847, 547, 7390, 713, 1576, 563, 763, 1101, 851, 540, 519, 1576, 3947, 5171, 513, 9488, 7650, 540, 912, 268, 1215, 968, 516, 32208, 3196, 892, 568, 3989, 543, 950, 621, 568, 4847, 563, 268, 1548, 519, 1876, 3081, 538, 6935, 547, 2168, 6304, 543, 27047, 842, 563, 268, 1215, 741, 667, 14280, 540, 5516, 5222, 593, 27047, 842, 610, 2922, 3835, 532, 563, 268, 1548, 519, 5274, 7126, 2920, 3081, 827, 519, 946, 540, 27047, 842, 563, 27396, 1218, 786, 1451, 950, 2168, 6304, 610, 27047, 842, 1058, 543, 1058, 711, 581, 1031, 267, 875, 547, 2708, 543, 4383, 4220, 267, 543, 519, 13766, 540, 8989, 267, 10916, 543, 10452, 593, 1022, 10071, 563, 763, 2034, 851, 540, 519, 1576, 11414, 4052, 2168, 2553, 602, 786, 1450, 1416, 3464, 547, 18390, 957, 538, 513, 3510, 799, 7125, 585, 2168, 6304, 543, 27047, 842, 1519, 912, 268, 4347, 775, 2553, 454, 268, 9978, 13057, 454, 268, 670, 13783, 270, 6135, 571, 842, 2553, 585, 8795, 1981, 2157, 454, 4322, 2553, 616, 4867, 1373, 6026, 547, 1585, 10986, 2324, 1369, 519, 23244, 267, 10821, 1299, 8808, 5321, 267, 3506, 267, 10685, 24284, 267, 543, 824, 14540, 563, 763, 2168, 6304, 2553, 6026, 593, 519, 1576, 723, 1044, 10446, 1199, 1227, 1981, 12290, 676, 519, 4659, 2986, 18366, 5004, 543, 16621, 2553, 602, 616, 6026, 1369, 519, 4808, 540, 10778, 268, 23244, 13363, 454, 268, 645, 6579, 291, 630, 23873, 4659, 540, 4804, 24894, 994, 268, 4972, 540, 4065, 454, 268, 4972, 540, 2657, 454, 663, 2743, 519, 4441, 1305, 676, 10341, 585, 2657, 267, 10341, 585, 5516, 543, 824, 20749, 9141, 2866, 1949, 1519, 281, 715, 1952, 328, 267, 2904, 2692, 267, 10934, 320, 267, 12243, 17546, 543, 6513, 543, 10163, 571, 842, 563, 16920, 754, 4315, 786, 581, 2111, 547, 912, 8340, 856, 811, 827, 938, 623, 878, 532, 8889, 454, 19119, 540, 1210, 589, 1076, 9751, 454, 1432, 1004, 2161, 827, 721, 454, 296, 1589, 713, 2866, 1058, 581, 2944, 676, 1169, 1007, 6536, 1416, 337, 269, 594, 26845, 711, 8391, 713, 2866, 476, 1015, 1296, 7498, 763, 1576, 729, 2731, 4277, 607, 513, 2866, 4116, 269, 594, 723, 2938, 1101, 1688, 593, 13307, 875, 4101, 930, 1453, 7498, 15124, 5872, 609, 3025, 267, 5795, 1390, 4388, 543, 5796, 827, 2168, 6304, 1369, 519, 6536, 1416, 1909, 269, 11154, 539, 519, 2866, 7498, 2171, 1336, 519, 2866, 1360, 13181, 543, 5363, 269, 634, 5717, 1472, 7303, 4101, 7180, 267, 543, 1946, 13685, 4755, 538, 519, 7498, 3725, 958, 4277, 267, 594, 4121, 6266, 540, 1007, 9623, 609, 1390, 5626, 4030, 269, 14348, 2648, 547, 798, 811, 2866, 609, 713, 2507, 0, 1103, 4993, 678, 25114, 333, 1389, 2661, 538, 938, 19126, 267, 24301, 543, 7733, 267, 543, 666, 581, 1336, 689, 4262, 1377, 547, 519, 10239, 269, 1924, 8458, 616, 267, 693, 835, 1448, 267, 596, 616, 2469, 547, 2170, 609, 835, 563, 7212, 678, 25114, 333, 1389, 616, 1034, 3742, 538, 15911, 12405, 267, 4989, 910, 5181, 267, 1934, 538, 8828, 4993, 789, 616, 12212, 1336, 1032, 15778, 563, 7197, 540, 721, 917, 547, 1832, 938, 8152, 330, 625, 593, 682, 10449, 950, 649, 616, 856, 19482, 543, 22742, 630, 320, 10690, 8152, 5652, 11148, 547, 581, 513, 4503, 8152, 5652, 14386, 855, 1256, 693, 519, 1439, 540, 513, 682, 1662, 938, 5243, 1205, 883, 562, 23697, 543, 1835, 2335, 625, 543, 1981, 1373, 3787, 1084, 676, 513, 13131, 563, 293, 16898, 281, 17268, 616, 476, 736, 2053, 811, 2693, 547, 581, 3787, 1084, 676, 9006, 10535, 15315, 982, 1004, 543, 616, 827, 476, 1839, 2053, 811, 2693, 547, 5884, 689, 519, 11116, 563, 1432, 547, 798, 952, 707, 8152, 5652, 568, 3787, 1084, 676, 513, 13131, 912, 268, 27539, 621, 568, 513, 9006, 10535, 11116, 563, 268, 5192, 547, 513, 17022, 594, 12613, 3633, 296, 2969, 5085, 312, 454, 268, 1403, 519, 11926, 568, 538, 519, 3068, 267, 2057, 15700, 713, 1858, 782, 1927, 563, 268, 8056, 984, 559, 1125, 519, 851, 540, 707, 4620, 602, 814, 1044, 3787, 1084, 267, 952, 713, 666, 581, 2944, 9108, 269, 8347, 547, 1832, 519, 1858, 693, 610, 2630, 519, 1377, 540, 519, 2295, 563, 268, 5901, 707, 8152, 5652, 9350, 543, 1799, 9394, 267, 4163, 873, 952, 2556, 563, 22829, 333, 820, 17486, 616, 5393, 11213, 267, 519, 11926, 602, 666, 2049, 568, 26648, 543, 4523, 3533, 269, 9603, 547, 1928, 543, 4250, 581, 3222, 602, 707, 8152, 5652, 949, 18417, 2119, 547, 26882, 693, 596, 994, 1432, 10691, 547, 798, 454, 268, 5213, 1405, 2119, 547, 29186, 856, 519, 29086, 563, 268, 5213, 1405, 968, 24708, 606, 2473, 892, 543, 2759, 1930, 519, 1858, 1472, 519, 11116, 630, 9767, 786, 1152, 2014, 513, 10138, 1916, 268, 1684, 711, 946, 513, 31315, 645, 924, 14173, 610, 6987, 847, 528, 27124, 630, 16269, 666, 2965, 798, 811, 2800, 994, 268, 1684, 711, 4019, 4672, 610, 4411, 24502, 547, 519, 1858, 267, 3257, 865, 1526, 12230, 1973, 8043, 12725, 543, 30211, 519, 29086, 4929, 4049, 4887, 3441, 547, 519, 1858, 563, 268, 1684, 711, 6299, 4376, 883, 519, 11116, 267, 519, 29086, 568, 538, 519, 1973, 6908, 267, 865, 4376, 22521, 568, 24631, 563, 268, 1684, 711, 4019, 513, 4663, 333, 1172, 564, 607, 713, 949, 2014, 2417, 5160, 3441, 267, 621, 1223, 849, 2014, 519, 991, 585, 18215, 993, 1584, 566, 563, 268, 1684, 711, 1450, 707, 8152, 5652, 547, 1847, 827, 11884, 563, 19522, 585, 6604, 454, 268, 13773, 593, 1930, 10092, 1247, 19482, 609, 707, 8152, 5652, 563, 268, 13773, 2476, 689, 1164, 6371, 543, 7725, 1141, 15315, 899, 547, 1964, 563, 268, 5213, 1406, 1577, 707, 4620, 2263, 9475, 610, 2007, 896, 7725, 563, 268, 1403, 1210, 513, 1412, 339, 773, 13050, 262, 2638, 602, 519, 2898, 1863, 24365, 1858, 568, 711, 13131, 7226, 563, 268, 5457, 602, 513, 13131, 666, 10880, 1152, 513, 3845, 540, 3368, 922, 1560, 3259, 282, 2285, 519, 13131, 942, 547, 968, 3286, 979, 2476, 5608, 789, 1810, 1405, 1616, 547, 2170, 609, 596, 610, 707, 2915, 952, 789, 666, 948, 621, 563, 268, 5213, 1406, 1577, 707, 8152, 5652, 3190, 609, 513, 4666, 13131, 607, 789, 1869, 666, 5305, 29086, 563, 1432, 827, 519, 6669, 888, 2467, 568, 513, 968, 338, 333, 820, 1532, 924, 6669, 892, 855, 972, 723, 1044, 1100, 6417, 2090, 585, 922, 7145, 269, 2290, 540, 519, 7887, 14868, 568, 602, 952, 707, 4620, 814, 1044, 18764, 267, 1287, 789, 1810, 1406, 991, 547, 581, 5701, 585, 17486, 282, 713, 568, 711, 3020, 269, 1358, 1590, 4309, 519, 1482, 2126, 5103, 1373, 2016, 513, 6669, 610, 711, 2336, 263, 10472, 1344, 568, 711, 5497, 547, 581, 1031, 607, 606, 4244, 547, 2564, 5796, 269, 649, 616, 711, 1654, 1206, 4700, 0, 4415, 3747, 585, 4195, 1216, 2484, 856, 335, 5217, 2067, 3761, 267, 519, 2506, 597, 622, 568, 5051, 13461, 593, 964, 531, 1588, 547, 4383, 519, 2110, 6420, 269, 2060, 513, 2551, 15810, 547, 3914, 2185, 2929, 538, 519, 1985, 8938, 19317, 1296, 267, 972, 616, 7687, 547, 1699, 4066, 267, 2139, 1648, 543, 519, 1604, 781, 2702, 547, 10110, 519, 5222, 540, 713, 1377, 540, 964, 531, 1588, 563, 13436, 2591, 3068, 782, 7013, 13323, 2477, 267, 782, 540, 799, 2721, 689, 519, 1482, 3908, 1560, 540, 1216, 607, 513, 2707, 269, 16140, 4248, 27727, 568, 8449, 5667, 20980, 267, 609, 3747, 2484, 23630, 519, 5993, 7791, 3761, 269, 901, 3138, 4040, 1216, 6433, 3340, 6297, 1620, 543, 513, 20291, 4674, 547, 4194, 563, 291, 558, 4382, 4826, 3683, 4211, 976, 18870, 454, 30182, 11545, 29358, 543, 26228, 4826, 29283, 630, 299, 527, 637, 18025, 3205, 270, 21196, 994, 12850, 27519, 543, 24637, 630, 300, 11669, 11829, 976, 270, 21196, 994, 763, 6027, 2557, 540, 829, 21027, 6469, 1216, 4616, 25939, 476, 276, 4792, 268, 280, 736, 30184, 27473, 630, 6112, 519, 4890, 2557, 568, 2693, 547, 581, 2362, 264, 1107, 5595, 519, 2557, 540, 1082, 2919, 11615, 1107, 543, 568, 8375, 20406, 269, 1280, 1383, 267, 519, 2557, 540, 829, 21027, 4616, 538, 476, 1960, 278, 729, 476, 5392, 273, 30184, 27473, 269, 1635, 476, 1220, 273, 267, 519, 2557, 1185, 2799, 476, 7871, 260, 630, 1729, 476, 4037, 274, 30184, 27473, 264, 1354, 519, 4367, 540, 513, 1216, 13545, 858, 602, 1032, 563, 7712, 1287, 267, 621, 814, 20406, 2799, 543, 267, 952, 2451, 31250, 267, 2698, 5993, 3747, 1223, 1332, 476, 11277, 260, 676, 476, 10711, 271, 269, 769, 519, 9000, 540, 1007, 4390, 267, 964, 531, 1588, 786, 581, 8572, 547, 2743, 3747, 676, 476, 1001, 275, 269, 2060, 1216, 3790, 3810, 13564, 2213, 676, 519, 2229, 543, 2370, 1857, 4656, 827, 1216, 2152, 543, 741, 6286, 267, 972, 814, 1044, 2370, 24539, 585, 1216, 9494, 3800, 693, 519, 7622, 1377, 563, 5327, 531, 1588, 18788, 15702, 6886, 630, 27146, 3320, 6070, 264, 689, 26869, 267, 15741, 880, 15780, 610, 5701, 16894, 269, 2677, 531, 3990, 1216, 538, 26512, 667, 4725, 328, 2501, 3592, 14311, 689, 1071, 22831, 1379, 7933, 525, 531, 1588, 2371, 1210, 8143, 11638, 21178, 720, 18044, 630, 5960, 293, 264, 2029, 269, 1452, 1071, 24932, 1379, 2371, 5352, 5201, 1210, 3154, 18434, 267, 4171, 3002, 568, 1031, 538, 519, 9049, 293, 1184, 547, 2048, 4148, 1662, 262, 14974, 26869, 267, 2870, 9252, 269, 9473, 14819, 519, 9252, 7472, 4195, 1216, 267, 609, 519, 6967, 1490, 4176, 1216, 8120, 547, 519, 4262, 269, 769, 26512, 667, 4725, 328, 267, 1034, 964, 531, 3990, 1216, 568, 3812, 689, 3670, 2371, 609, 513, 5916, 4390, 540, 476, 6924, 274, 2929, 17529, 27473, 269, 1323, 3606, 476, 26392, 2929, 17529, 27473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 780, 2162, 7151, 7726, 1948, 274, 2433, 4635, 18289, 12307, 692, 310, 531, 614, 25001, 513, 1167, 689, 476, 272, 269, 276, 7397, 1657, 519, 2666, 609, 17033, 8880, 5163, 269, 1215, 1279, 786, 621, 581, 1354, 519, 1167, 16125, 519, 2666, 2496, 15008, 1384, 763, 8880, 5163, 786, 711, 1860, 519, 942, 519, 1167, 568, 538, 519, 2011, 269, 5384, 786, 581, 5462, 676, 519, 2557, 693, 799, 519, 1167, 8813, 281, 519, 10231, 1813, 547, 8904, 780, 2171, 666, 4194, 585, 519, 942, 1210, 519, 3830, 2630, 543, 519, 2418, 2016, 538, 519, 2243, 780, 2162, 7151, 7726, 1948, 272, 2433, 4635, 18289, 12307, 692, 299, 525, 12340, 20061, 513, 3440, 856, 540, 513, 6885, 689, 476, 1015, 7397, 1657, 519, 2666, 267, 971, 602, 519, 3355, 586, 268, 767, 6290, 568, 4642, 269, 1548, 786, 519, 3440, 781, 3803, 6991, 581, 1318, 1354, 621, 16125, 519, 2666, 2496, 15008, 1384, 2171, 616, 2016, 519, 3355, 6991, 267, 10231, 267, 543, 519, 3355, 543, 3803, 9883, 780, 8794, 519, 3830, 2630, 543, 519, 2016, 2418, 267, 649, 666, 4194, 585, 519, 3803, 6991, 780, 2162, 7151, 7726, 1948, 276, 2433, 4635, 18289, 12307, 692, 322, 3433, 15942, 2066, 513, 6989, 585, 1109, 1109, 29592, 4947, 547, 1964, 1109, 1109, 5228, 922, 3312, 2990, 780, 1432, 568, 519, 3355, 6991, 540, 519, 1835, 622, 2496, 15008, 1384, 763, 1966, 3947, 721, 3845, 267, 3803, 6991, 267, 543, 1689, 538, 942, 269, 1284, 666, 946, 891, 2418, 538, 519, 3830, 2630, 547, 4194, 585, 519, 3355, 6991, 780, 303, 29888, 538, 938, 2016, 2418, 543, 4194, 780, 19667, 728, 1312, 5011, 676, 16317, 11372, 17586, 1312, 5011, 676, 16317, 2162, 7151, 7726, 1948, 275, 2433, 4635, 18289, 12307, 692, 322, 3433, 15942, 2066, 513, 6989, 585, 1109, 1109, 29592, 4947, 547, 1964, 1109, 1109, 5228, 922, 3312, 2990, 780, 1432, 568, 519, 2121, 10231, 593, 519, 1835, 622, 2496, 15008, 1384, 5472, 540, 519, 4834, 3823, 10231, 2154, 606, 3355, 6991, 269, 1284, 786, 991, 547, 4194, 585, 519, 3355, 6991, 1210, 519, 2016, 4632, 269, 634, 1966, 3947, 721, 3845, 267, 3803, 6991, 267, 543, 1689, 538, 942, 269, 1284, 666, 946, 891, 2418, 538, 519, 3830, 2630, 547, 4194, 585, 519, 3355, 6991, 780, 303, 29888, 538, 938, 2016, 2418, 543, 4194, 780, 2171, 666, 946, 513, 5276, 5163, 3830, 547, 4194, 585, 519, 10231, 267, 1210, 519, 6991, 649, 1175, 1336, 269, 1284, 1631, 723, 519, 3845, 267, 942, 267, 543, 3355, 6991, 780, 303, 29888, 538, 519, 2016, 2418, 547, 4194, 585, 10231, 780, 2162, 7151, 7726, 1948, 11025, 2433, 18289, 1656, 23317, 692, 288, 3440, 6238, 12902, 693, 1109, 269, 898, 5787, 919, 693, 513, 3586, 2557, 540, 1109, 1109, 1721, 1109, 269, 1548, 568, 519, 3803, 6991, 2496, 15008, 1384, 2414, 4194, 585, 519, 3803, 6991, 267, 3314, 602, 519, 2078, 1063, 6991, 267, 10231, 267, 543, 942, 568, 16317, 8794, 519, 2016, 2418, 585, 519, 3355, 6991, 267, 10231, 267, 543, 942, 267, 649, 666, 4194, 585, 519, 3803, 6991, 780, 2162, 7151, 7726, 1948, 274, 2433, 4635, 18289, 12307, 692, 288, 1433, 267, 4358, 693, 1964, 267, 8813, 1055, 540, 513, 3349, 269, 1548, 568, 922, 6991, 1310, 1109, 538, 5163, 2496, 15008, 1384, 2171, 666, 4194, 713, 2243, 1210, 519, 3830, 585, 10231, 538, 2474, 540, 6991, 1384, 2171, 917, 938, 3355, 6991, 630, 14706, 267, 2094, 649, 1376, 689, 1964, 1070, 942, 267, 543, 519, 10231, 540, 8904, 269, 2422, 891, 2418, 547, 20586, 519, 4756, 585, 519, 3803, 6991, 780, 9616, 602, 519, 3803, 6991, 568, 2942, 267, 2094, 519, 1433, 568, 10707, 538, 519, 18746, 4287, 780, 2162, 7151, 7726, 1948, 273, 2433, 4635, 18289, 12307, 692, 288, 1286, 10707, 2059, 513, 19814, 7575, 693, 3355, 6991, 1109, 1354, 621, 5956, 547, 17108, 269, 1403, 621, 5787, 919, 585, 1109, 693, 1109, 2073, 1018, 568, 519, 3803, 6991, 540, 519, 1286, 2496, 15008, 1384, 8196, 519, 10252, 26517, 3830, 1384, 2171, 616, 2016, 519, 3355, 6991, 267, 519, 942, 1714, 17863, 267, 543, 519, 10231, 269, 4635, 891, 2418, 267, 649, 666, 4194, 585, 519, 3803, 6991, 780, 2162, 7151, 7726, 1948, 14631, 2433, 4400, 3427, 8212, 692, 288, 9325, 28812, 10707, 5087, 693, 689, 606, 3355, 2990, 269, 2991, 10707, 1109, 689, 519, 3355, 2990, 267, 519, 9325, 5956, 23960, 5087, 693, 1109, 585, 1547, 1548, 568, 519, 3803, 3845, 1063, 519, 9325, 543, 519, 3355, 2990, 2496, 15008, 1384, 25219, 559, 1125, 519, 10252, 26517, 3830, 1384, 763, 9325, 781, 5163, 666, 581, 7745, 883, 1079, 2694, 281, 519, 3355, 3845, 543, 519, 3845, 14612, 1282, 10231, 269, 634, 3355, 3845, 568, 2016, 780, 763, 3845, 1282, 10231, 666, 581, 1336, 1210, 519, 10252, 26517, 4542, 543, 2016, 2418, 585, 519, 3355, 6991, 267, 10231, 267, 543, 942, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12709, 9732, 18248, 9732, 14419, 519, 19427, 610, 27754, 540, 535, 3799, 264, 815, 630, 272, 1315, 562, 264, 552, 268, 11027, 514, 1315, 476, 273, 692, 258, 14419, 519, 19427, 610, 27754, 540, 535, 3799, 264, 815, 630, 272, 1315, 562, 264, 552, 268, 11027, 514, 1315, 476, 273, 692, 13706, 519, 1599, 3989, 676, 692, 29991, 519, 19427, 610, 27754, 540, 519, 5311, 543, 952, 621, 4780, 2471, 3313, 922, 3970, 780, 1607, 5311, 4780, 2471, 2094, 692, 3719, 1142, 540, 519, 7182, 538, 519, 1587, 6818, 2094, 692, 663, 692, 17798, 10484, 11997, 267, 630, 553, 649, 4718, 538, 713, 3635, 267, 952, 568, 1950, 12595, 543, 1287, 519, 5311, 607, 1134, 1040, 9747, 267, 519, 5311, 4780, 2471, 547, 476, 271, 780, 3719, 519, 3948, 568, 827, 519, 6207, 1871, 630, 7116, 15252, 264, 540, 1269, 324, 13064, 514, 21702, 346, 7032, 2410, 273, 22288, 552, 3052, 269, 1269, 347, 324, 13064, 514, 21702, 346, 7032, 2410, 273, 3686, 347, 259, 711, 519, 1950, 1297, 1269, 324, 13064, 514, 21702, 346, 7032, 2410, 273, 22288, 3294, 269, 0, 763, 645, 668, 16049, 538, 11437, 7533, 568, 1031, 547, 1265, 11201, 5487, 2897, 3690, 13257, 540, 3252, 269, 898, 568, 513, 7294, 4062, 540, 6128, 267, 543, 3340, 513, 1434, 1702, 540, 26048, 5610, 547, 581, 4294, 269, 898, 568, 3769, 1934, 585, 1264, 28467, 281, 538, 1034, 4052, 2665, 11201, 5487, 2897, 3690, 13257, 616, 6743, 909, 538, 7515, 267, 543, 616, 25864, 5249, 856, 676, 1688, 780, 2971, 15048, 540, 1267, 692, 4131, 535, 6025, 264, 581, 513, 1599, 609, 5487, 2897, 17992, 674, 9638, 1040, 3973, 649, 723, 519, 6935, 692, 3499, 325, 6025, 264, 815, 476, 272, 14370, 273, 11027, 328, 264, 7533, 263, 293, 9638, 264, 10339, 263, 696, 264, 31389, 267, 533, 284, 24556, 25829, 31236, 1862, 24556, 266, 328, 31236, 994, 7884, 3602, 29339, 568, 513, 1804, 1483, 1297, 6074, 865, 602, 519, 2619, 540, 5610, 6013, 547, 519, 1318, 540, 782, 519, 13737, 885, 540, 674, 9638, 6393, 2971, 19577, 692, 13434, 718, 602, 952, 674, 9638, 264, 568, 519, 5487, 2897, 17992, 540, 513, 1599, 535, 6025, 1070, 1287, 692, 3499, 293, 9638, 264, 815, 7533, 6600, 6025, 264, 10339, 8987, 696, 264, 19049, 267, 512, 284, 271, 1862, 8882, 1916, 7884, 2171, 8263, 535, 6025, 6661, 271, 585, 512, 692, 3499, 15759, 1537, 263, 293, 9638, 264, 10339, 263, 696, 264, 31389, 267, 533, 284, 24556, 25829, 31236, 1862, 24556, 266, 328, 31236, 994, 284, 7533, 263, 10339, 263, 696, 264, 15759, 1537, 6600, 263, 16483, 264, 10339, 8987, 335, 16483, 264, 323, 16483, 267, 26018, 15871, 31236, 1862, 31236, 264, 31389, 267, 533, 284, 24556, 25829, 31236, 1862, 24556, 266, 328, 31236, 994, 284, 1775, 7533, 263, 10339, 263, 24556, 339, 264, 10339, 9217, 344, 6025, 268, 16483, 4297, 325, 263, 16483, 264, 10339, 8987, 24556, 16483, 264, 11276, 323, 16483, 267, 26018, 11971, 15871, 31236, 1862, 31236, 994, 284, 1775, 7533, 263, 10339, 9217, 344, 6025, 268, 16483, 4297, 325, 263, 16483, 264, 10339, 263, 24556, 6025, 268, 16483, 4297, 11276, 323, 16483, 267, 26018, 11971, 15871, 31236, 1862, 31236, 1916, 7884, 2171, 1631, 1118, 519, 18839, 579, 284, 339, 268, 16483, 543, 5581, 575, 26086, 6661, 10339, 263, 24556, 340, 264, 325, 6025, 268, 340, 6393, 3499, 476, 815, 1775, 7533, 263, 10339, 9217, 344, 340, 264, 326, 26086, 264, 323, 644, 344, 267, 579, 11971, 15871, 31236, 1862, 31236, 994, 284, 1775, 3970, 263, 15759, 1537, 263, 15759, 1537, 263, 10339, 9217, 344, 340, 264, 326, 26086, 264, 706, 267, 579, 15871, 31236, 1862, 31236, 264, 11276, 267, 586, 15871, 305, 1862, 305, 1070, 681, 20681, 31236, 994, 284, 1775, 3970, 263, 15759, 1537, 263, 15759, 1537, 263, 10339, 9217, 344, 340, 264, 11276, 267, 586, 15871, 305, 1862, 305, 264, 326, 26086, 264, 706, 267, 579, 15871, 31236, 1862, 31236, 1070, 681, 20681, 31236, 994, 284, 1775, 3970, 263, 15759, 1537, 263, 273, 7562, 27562, 340, 8358, 340, 575, 26086, 264, 706, 267, 579, 15871, 31236, 1862, 31236, 1070, 681, 20681, 31236, 1916, 284, 1775, 3970, 263, 15759, 1537, 263, 273, 7562, 27562, 340, 8358, 340, 575, 26086, 264, 706, 267, 579, 15871, 15770, 1862, 15770, 264, 1341, 744, 263, 272, 24250, 1070, 681, 20681, 31236, 1916, 7884, 2171, 1631, 1118, 946, 540, 15364, 540, 575, 26086, 6393, 3499, 476, 815, 1775, 3970, 14116, 263, 271, 264, 15759, 1537, 263, 273, 7562, 27562, 340, 8358, 340, 5918, 267, 579, 15871, 15770, 1862, 15770, 264, 1341, 744, 263, 272, 24250, 1070, 681, 20681, 31236, 994, 284, 1775, 3970, 14116, 263, 271, 264, 15759, 1537, 263, 273, 7562, 4433, 8358, 338, 546, 338, 267, 521, 15871, 305, 15770, 1862, 305, 15770, 264, 1341, 744, 263, 272, 24250, 1070, 681, 20681, 31236, 994, 284, 476, 273, 328, 575, 263, 271, 264, 7533, 4433, 514, 4433, 8358, 338, 546, 338, 267, 521, 15871, 31236, 1862, 31236, 1916, 7884, 763, 7533, 540, 5609, 4433, 8358, 338, 666, 581, 9863, 1210, 26048, 5610, 547, 581, 12631, 267, 799, 3947, 721, 519, 2838, 1267, 780, 3499, 476, 815, 476, 273, 11027, 328, 575, 263, 271, 1916, 7884, 17798, 692, 3499, 272, 14370, 273, 11027, 328, 264, 7533, 263, 293, 9638, 264, 10339, 263, 696, 264, 31389, 267, 533, 284, 24556, 25829, 31236, 1862, 24556, 266, 328, 31236, 264, 815, 476, 272, 14370, 273, 11027, 328, 264, 476, 273, 11027, 328, 575, 263, 271, 264, 815, 535, 6025, 1916, 7884, 2971, 7151, 692, 2171, 2015, 519, 2241, 1383, 540, 535, 6025, 264, 815, 476, 272, 585, 512, 285, 271, 269, 634, 5487, 2897, 17992, 568, 2016, 676, 692, 3499, 293, 9638, 264, 815, 7533, 6600, 6025, 264, 10339, 8987, 696, 1070, 533, 284, 271, 1862, 31236, 994, 284, 7533, 263, 10339, 8987, 696, 1070, 533, 284, 271, 1862, 31236, 994, 284, 476, 272, 9706, 563, 7884, 2171, 6999, 547, 13182, 519, 538, 11437, 7533, 269, 634, 1152, 13737, 640, 540, 674, 9638, 264, 568, 950, 533, 284, 271, 267, 865, 1305, 29339, 284, 272, 269, 1284, 616, 4061, 5461, 538, 519, 7533, 692, 3499, 272, 14370, 273, 11027, 328, 264, 7533, 263, 10339, 263, 696, 8358, 335, 31185, 267, 533, 284, 272, 25829, 31236, 1862, 272, 266, 328, 31236, 1916, 7884, 13014, 519, 18839, 533, 284, 272, 266, 28999, 547, 3489, 692, 3499, 272, 14370, 273, 11027, 328, 264, 7533, 263, 10339, 6025, 263, 272, 266, 28999, 4297, 14370, 272, 266, 28999, 264, 7329, 336, 267, 7117, 15871, 31236, 1862, 31236, 994, 284, 476, 272, 14370, 273, 11027, 328, 264, 7533, 263, 10339, 6025, 263, 272, 266, 28999, 4297, 14370, 336, 25829, 264, 546, 336, 267, 7117, 15871, 31236, 1862, 31236, 1916, 7884, 2171, 6218, 713, 1210, 519, 2553, 540, 26048, 5610, 269, 1280, 512, 285, 271, 267, 649, 2673, 519, 26048, 538, 519, 5580, 3368, 7077, 609, 513, 1804, 12931, 22511, 281, 676, 16888, 781, 19790, 2742, 519, 9295, 540, 713, 12931, 22511, 547, 519, 7533, 8709, 8460, 269, 9747, 519, 7533, 568, 3160, 547, 519, 2040, 540, 519, 20583, 22016, 780, 3499, 476, 815, 476, 272, 14370, 273, 11027, 328, 264, 476, 273, 11027, 328, 21225, 263, 10339, 9230, 272, 266, 28999, 264, 339, 19422, 336, 25829, 1070, 7117, 284, 328, 994, 284, 1163, 263, 271, 339, 994, 284, 476, 272, 563, 7884, 6518, 568, 519, 4397, 1267, 269, 1280, 2942, 512, 649, 2673, 519, 26048, 538, 519, 2539, 3368, 7077, 269, 4595, 972, 616, 1100, 20583, 13737, 885, 519, 7533, 6971, 547, 4642, 269, 9747, 649, 723, 16626, 938, 3312, 535, 6025, 6393, 19868, 538, 610, 11578, 547, 2328, 1945, 1934, 610, 547, 3346, 4589, 269, 0, 1012, 476, 2537, 2578, 9014, 630, 9492, 264, 1226, 919, 547, 476, 280, 269, 271, 4649, 1321, 9821, 630, 514, 2020, 763, 476, 2537, 4699, 547, 6279, 20303, 568, 513, 2450, 20303, 689, 835, 1770, 2097, 1776, 269, 2290, 1298, 9014, 568, 827, 476, 271, 269, 4375, 274, 278, 6279, 780, 2791, 616, 8384, 281, 1215, 1454, 568, 476, 2537, 9492, 538, 6279, 692, 763, 3457, 540, 2450, 1590, 581, 6460, 689, 17744, 547, 6279, 269, 634, 476, 2537, 1298, 9014, 547, 6279, 568, 519, 1034, 606, 2653, 1770, 7503, 3659, 786, 1265, 856, 538, 3119, 1153, 1153, 269, 901, 568, 1175, 835, 540, 519, 1034, 1455, 4238, 538, 513, 2647, 5542, 540, 6310, 3156, 780, 1607, 2022, 6941, 875, 547, 2981, 476, 2537, 4699, 547, 6279, 543, 849, 946, 519, 1907, 585, 6460, 835, 1770, 689, 1776, 267, 543, 519, 2078, 1063, 17744, 543, 849, 6279, 609, 2143, 3137, 780, 1012, 4208, 1689, 519, 2450, 689, 476, 2537, 4699, 547, 6279, 547, 6279, 2496, 288, 1298, 9014, 630, 528, 1298, 9014, 264, 568, 513, 1770, 519, 3259, 269, 898, 568, 835, 4627, 628, 602, 513, 11281, 269, 1717, 267, 519, 8678, 2276, 3091, 513, 6093, 1770, 540, 3259, 269, 15875, 4559, 616, 3177, 538, 519, 1482, 1259, 538, 606, 5140, 6628, 780, 763, 8912, 15875, 610, 721, 1770, 540, 2268, 909, 585, 2450, 630, 528, 3845, 264, 568, 6279, 269, 1403, 596, 723, 1344, 827, 3259, 538, 17744, 282, 543, 596, 991, 519, 1482, 1297, 538, 967, 626, 3907, 27720, 10759, 4559, 267, 596, 723, 519, 1318, 547, 946, 713, 20303, 780, 2162, 634, 2078, 1063, 6279, 543, 849, 4699, 692, 2414, 6460, 476, 2537, 17744, 2097, 6279, 610, 6279, 547, 17744, 267, 519, 2078, 1063, 6279, 543, 17744, 568, 602, 835, 10759, 538, 519, 11973, 1062, 568, 4481, 476, 273, 269, 7918, 17744, 780, 272, 9821, 815, 476, 273, 269, 7918, 4699, 692, 11997, 10484, 272, 1298, 9014, 815, 476, 272, 1315, 476, 273, 269, 7918, 10759, 692, 2414, 6460, 17744, 2097, 6279, 267, 649, 1590, 7941, 519, 4502, 538, 17744, 676, 476, 273, 269, 7918, 780, 2252, 519, 1770, 3259, 568, 476, 272, 4699, 267, 519, 12805, 3259, 538, 10759, 568, 476, 272, 1298, 9014, 815, 476, 271, 269, 4375, 274, 3583, 272, 6279, 692, 1012, 1215, 9118, 6279, 568, 476, 2537, 9492, 692, 2162, 22417, 476, 2537, 4699, 630, 1417, 12281, 264, 547, 6279, 630, 514, 2020, 4415, 713, 2450, 20303, 649, 723, 519, 1318, 547, 3362, 6460, 4699, 2097, 6279, 899, 476, 1015, 1298, 9014, 547, 6279, 267, 476, 1626, 1298, 9014, 547, 6279, 267, 476, 2537, 1298, 9014, 547, 6279, 267, 476, 2537, 9492, 538, 6279, 3092, 780, 7712, 649, 917, 602, 513, 1298, 9014, 568, 1472, 476, 271, 269, 4375, 274, 3583, 272, 6279, 267, 519, 7503, 6805, 835, 1298, 9014, 2097, 6279, 568, 2653, 269, 1677, 2981, 17744, 2097, 6279, 267, 1292, 1448, 519, 1298, 9014, 1871, 6035, 676, 476, 271, 269, 4375, 274, 3583, 272, 780, 2690, 1383, 267, 547, 6460, 476, 1015, 17744, 547, 6279, 267, 9062, 476, 1015, 17744, 998, 476, 271, 269, 4375, 274, 3583, 272, 547, 2744, 519, 4502, 829, 10759, 780, 9217, 4318, 4700, 476, 1015, 1535, 476, 271, 269, 4375, 274, 3583, 272, 815, 476, 274, 269, 280, 4391, 4905, 6279, 780, 11997, 267, 476, 1015, 17744, 568, 3160, 547, 476, 274, 269, 280, 4391, 4905, 6279, 780, 3086, 2015, 1776, 1383, 281, 476, 2537, 9492, 538, 6279, 568, 10736, 1927, 5205, 1384, 1012, 1215, 1685, 594, 2981, 476, 2537, 1298, 9014, 547, 6279, 2496, 2414, 2981, 476, 2537, 1298, 9014, 547, 538, 267, 8806, 1491, 519, 4890, 6482, 538, 4699, 543, 849, 9062, 713, 1297, 676, 476, 273, 269, 476, 4198, 275, 269, 1924, 3659, 666, 6460, 875, 1082, 6279, 568, 476, 2537, 4699, 16924, 780, 2791, 666, 10123, 3362, 2981, 17744, 547, 6279, 1210, 519, 1739, 17744, 2097, 6279, 7503, 1384, 2162, 1215, 9118, 6279, 568, 476, 2537, 4699, 692, 2026, 649, 917, 267, 476, 272, 4699, 815, 476, 271, 269, 4375, 274, 3583, 272, 6279, 692, 1012, 1548, 568, 476, 2537, 1298, 9014, 538, 6279, 692, 1103, 713, 1259, 267, 476, 2537, 17744, 723, 519, 1318, 547, 581, 10736, 547, 6279, 676, 14921, 476, 2537, 676, 476, 271, 269, 4375, 274, 3583, 272, 6279, 780, 9217, 4318, 4700, 476, 2537, 4699, 547, 835, 10759, 815, 476, 2537, 1535, 476, 271, 269, 4375, 274, 3583, 272, 6279, 692, 2537, 4699, 815, 9821, 815, 476, 280, 269, 271, 4649, 11277, 6279, 692, 2162, 476, 2537, 1298, 9014, 568, 875, 9118, 6279, 692, 11997, 267, 476, 2537, 1298, 9014, 568, 875, 1082, 6279, 476, 2537, 4699, 568, 1482, 547, 476, 1556, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11048, 267, 1082, 5433, 602, 519, 2872, 729, 5418, 8172, 606, 17418, 547, 16783, 950, 741, 1378, 1382, 4951, 602, 713, 729, 711, 519, 2013, 269, 6812, 454, 8448, 1249, 687, 540, 519, 2825, 22687, 267, 2705, 267, 941, 1447, 740, 600, 656, 602, 1169, 18107, 514, 2009, 1590, 581, 10710, 7488, 540, 519, 4539, 585, 519, 17612, 540, 5215, 540, 741, 8284, 4892, 269, 16840, 540, 519, 7025, 16470, 8750, 630, 3633, 293, 264, 543, 519, 18554, 29663, 7722, 538, 5717, 609, 519, 27966, 2872, 538, 519, 4126, 540, 8757, 606, 6876, 602, 1131, 581, 11807, 547, 1312, 519, 29940, 543, 1346, 945, 8179, 547, 2149, 519, 23522, 269, 4438, 891, 16395, 267, 891, 1079, 2516, 30309, 519, 32716, 540, 930, 540, 741, 8284, 2825, 1235, 950, 789, 8815, 547, 519, 2229, 779, 844, 7974, 540, 476, 6795, 267, 30588, 18107, 514, 19754, 585, 476, 3192, 278, 269, 769, 513, 20394, 547, 922, 2818, 267, 519, 8863, 299, 15034, 519, 18554, 29663, 543, 661, 5263, 540, 968, 335, 7675, 585, 513, 2527, 6146, 540, 11188, 17763, 1047, 1848, 6795, 454, 8170, 1576, 267, 713, 4990, 540, 1102, 18017, 729, 1447, 540, 513, 6161, 585, 519, 2825, 1235, 269, 1635, 519, 3735, 476, 3192, 271, 338, 267, 2818, 540, 6837, 941, 3981, 532, 1585, 3029, 540, 2825, 9086, 1510, 1373, 7142, 547, 798, 865, 676, 519, 2825, 25211, 543, 621, 2968, 5051, 2312, 602, 519, 2825, 4229, 941, 10888, 519, 968, 339, 10044, 2112, 1848, 769, 1249, 267, 676, 519, 1439, 540, 476, 3192, 278, 267, 519, 2229, 1185, 865, 2898, 27329, 569, 3238, 3294, 609, 11319, 4464, 519, 2825, 1235, 685, 16786, 602, 519, 661, 5263, 779, 4604, 540, 19971, 729, 28409, 741, 18607, 267, 5261, 30215, 267, 547, 4894, 5128, 689, 519, 2013, 269, 2568, 454, 763, 27493, 5183, 4847, 5842, 17630, 779, 27966, 29940, 547, 3136, 1210, 741, 1625, 572, 694, 710, 24437, 547, 6952, 27966, 538, 519, 4527, 540, 23522, 538, 519, 661, 9143, 855, 7142, 873, 547, 1265, 2081, 547, 3648, 2569, 18107, 514, 6146, 2157, 952, 789, 4941, 547, 2743, 519, 844, 7974, 543, 1305, 741, 24437, 1472, 23522, 519, 2898, 1032, 269, 2311, 713, 267, 789, 941, 14831, 3585, 3811, 269, 7305, 476, 273, 2982, 519, 10565, 5786, 538, 18107, 514, 9019, 6913, 676, 519, 772, 2529, 269, 27966, 18239, 1510, 513, 1713, 5786, 538, 519, 2179, 540, 27966, 9575, 912, 21228, 6303, 3071, 30668, 5729, 6480, 13846, 667, 20462, 514, 918, 1571, 8618, 623, 2432, 14117, 21129, 595, 4381, 7830, 476, 3192, 276, 476, 14917, 267, 7785, 476, 26839, 267, 6321, 279, 267, 1822, 476, 3192, 277, 476, 14093, 267, 1822, 476, 29575, 267, 5325, 275, 267, 1822, 476, 3192, 278, 476, 3607, 267, 4335, 476, 30525, 267, 29496, 267, 1822, 476, 3192, 279, 476, 2641, 267, 4335, 476, 29045, 267, 3445, 279, 267, 1822, 476, 3192, 280, 476, 1704, 267, 280, 4343, 476, 30116, 267, 6187, 272, 267, 1822, 476, 2735, 271, 476, 1428, 267, 25134, 476, 23211, 267, 277, 1704, 267, 1822, 12843, 21228, 3071, 30668, 454, 1103, 1840, 547, 519, 1646, 540, 519, 1394, 1524, 4480, 543, 519, 7839, 10073, 540, 519, 2405, 2088, 19937, 267, 5842, 17630, 779, 27966, 29940, 16539, 513, 1390, 4308, 540, 942, 543, 2724, 3384, 824, 2409, 540, 4227, 11188, 17763, 1047, 9019, 269, 769, 476, 3192, 276, 267, 519, 27966, 2872, 3964, 519, 28769, 17763, 1047, 1763, 26443, 7690, 630, 11266, 293, 264, 4171, 6662, 729, 547, 2508, 519, 1646, 540, 11188, 17763, 1047, 22766, 2553, 269, 11554, 609, 519, 27966, 10935, 3061, 1622, 267, 519, 11553, 293, 2919, 543, 7318, 513, 1297, 540, 2093, 602, 16309, 538, 4227, 519, 1297, 540, 23522, 546, 27547, 1282, 1142, 1305, 540, 519, 1625, 572, 694, 710, 2121, 269, 8287, 454, 5278, 540, 891, 2093, 941, 607, 2241, 607, 1119, 532, 1142, 524, 1251, 10581, 14350, 547, 519, 1283, 540, 519, 1625, 572, 694, 710, 2121, 3079, 540, 4881, 513, 2582, 1899, 998, 782, 519, 6083, 1846, 269, 901, 4847, 519, 23522, 547, 811, 3362, 21477, 613, 519, 6083, 1846, 543, 9101, 519, 2121, 269, 5038, 4033, 3811, 2553, 3769, 13868, 519, 476, 273, 20878, 17450, 538, 519, 2405, 2088, 19937, 609, 32067, 476, 272, 476, 272, 270, 275, 20878, 17450, 543, 1140, 2286, 3432, 2692, 1846, 547, 519, 524, 1251, 1467, 547, 2061, 519, 4990, 540, 968, 4134, 2120, 5036, 892, 602, 7018, 950, 8801, 2842, 2175, 610, 1216, 14768, 3361, 519, 2121, 547, 12900, 269, 4792, 454, 27001, 476, 3192, 277, 543, 476, 2735, 277, 267, 519, 18107, 514, 6146, 844, 7974, 729, 25295, 1152, 1614, 2053, 4611, 538, 513, 2698, 2530, 540, 1152, 1079, 543, 513, 3368, 3275, 540, 10068, 269, 5780, 4438, 519, 1296, 476, 3192, 276, 268, 2735, 271, 267, 519, 2698, 5993, 6952, 540, 18178, 329, 871, 543, 5835, 21129, 676, 519, 772, 2529, 269, 27966, 18239, 4682, 689, 476, 26839, 267, 6321, 279, 8536, 6550, 547, 476, 23211, 267, 277, 1704, 8536, 6550, 2443, 513, 6175, 540, 1152, 1614, 2600, 269, 6858, 4438, 602, 1482, 1974, 267, 519, 1297, 540, 23522, 7166, 676, 519, 18239, 729, 4389, 676, 936, 562, 27197, 2600, 543, 7283, 693, 1346, 1970, 2157, 585, 1296, 2443, 19011, 1645, 476, 1626, 267, 5881, 273, 538, 519, 12964, 1296, 1063, 476, 3192, 280, 543, 476, 1960, 271, 269, 6924, 454, 28733, 569, 267, 5842, 17630, 779, 27966, 29940, 9862, 547, 519, 4170, 5116, 593, 873, 676, 519, 27493, 5183, 269, 4208, 1287, 798, 519, 1614, 533, 4536, 693, 519, 3723, 540, 3400, 701, 9335, 593, 5842, 17630, 779, 2377, 2117, 611, 3266, 1141, 519, 27966, 18239, 1031, 547, 17063, 909, 2221, 1796, 8900, 286, 6736, 519, 1835, 625, 540, 31873, 798, 558, 676, 519, 11083, 288, 538, 519, 3735, 476, 3192, 271, 338, 267, 519, 9993, 13684, 676, 519, 27493, 5183, 593, 519, 2197, 779, 18239, 540, 1625, 572, 694, 29794, 8507, 538, 1152, 513, 8766, 6749, 538, 7607, 269, 1306, 3735, 607, 476, 2735, 271, 267, 5842, 17630, 779, 18239, 540, 1804, 1625, 572, 694, 29794, 5665, 538, 519, 661, 9143, 1869, 22921, 476, 6200, 2443, 1152, 835, 1447, 982, 972, 1185, 1044, 538, 476, 3192, 275, 269, 7597, 454, 9961, 519, 476, 2735, 271, 338, 267, 2705, 267, 5842, 17630, 779, 27966, 18239, 11124, 513, 5569, 540, 10779, 885, 269, 1452, 3769, 519, 4432, 715, 3626, 1699, 540, 476, 2735, 273, 268, 10695, 799, 3636, 539, 519, 7297, 540, 519, 661, 9143, 547, 971, 606, 6708, 602, 519, 5835, 21129, 543, 18178, 329, 871, 6410, 547, 519, 16830, 267, 4514, 7297, 540, 519, 5375, 23427, 7414, 630, 310, 9143, 1040, 1280, 4128, 799, 616, 711, 7357, 6956, 267, 27966, 543, 23522, 798, 711, 7669, 1927, 538, 519, 654, 9143, 269, 634, 2698, 6952, 540, 5835, 21129, 27966, 538, 519, 661, 9143, 12628, 689, 476, 1220, 267, 25870, 9748, 538, 476, 2735, 272, 547, 476, 15389, 267, 5952, 278, 9748, 538, 476, 2735, 273, 547, 476, 9818, 267, 9262, 274, 9748, 538, 476, 2735, 274, 2443, 513, 31417, 7771, 540, 476, 7367, 2600, 538, 1079, 1296, 269, 3583, 634, 29940, 4553, 519, 27966, 547, 519, 654, 9143, 543, 267, 1310, 1565, 519, 1007, 2553, 543, 10115, 538, 519, 1007, 3937, 2556, 547, 6707, 3165, 538, 713, 1858, 267, 10150, 9645, 1967, 972, 563, 288, 2034, 1966, 585, 519, 29940, 729, 519, 3350, 540, 666, 1676, 625, 18246, 547, 1491, 5413, 540, 3454, 15314, 543, 519, 3648, 2539, 13848, 6976, 538, 4025, 899, 17289, 267, 17896, 22656, 267, 543, 1977, 6341, 10394, 269, 2755, 519, 3328, 5662, 569, 13230, 6976, 547, 7127, 1377, 666, 1676, 344, 4600, 538, 4993, 538, 476, 2735, 276, 729, 1269, 277, 269, 8287, 267, 13974, 9952, 4600, 538, 17896, 22656, 543, 1977, 6341, 10394, 1223, 2503, 547, 4309, 1269, 274, 269, 9262, 543, 1269, 273, 269, 11463, 829, 5662, 267, 6606, 269, 10170, 3281, 15929, 519, 1966, 729, 519, 1249, 602, 267, 693, 513, 5021, 540, 476, 1321, 269, 276, 2600, 267, 519, 772, 2529, 269, 13545, 858, 593, 16865, 27966, 27574, 538, 1216, 729, 2539, 982, 602, 540, 4516, 267, 17289, 267, 3567, 267, 543, 519, 3864, 5742, 269, 634, 772, 2529, 269, 6837, 15189, 547, 2333, 713, 10279, 543, 267, 607, 513, 1267, 267, 666, 2996, 1336, 621, 1447, 7199, 547, 666, 519, 27966, 18246, 543, 13143, 621, 547, 519, 2136, 2276, 982, 547, 3132, 519, 1587, 29143, 1227, 269, 7761, 454, 7661, 267, 519, 8574, 540, 519, 13804, 639, 517, 2920, 538, 476, 3192, 277, 267, 14178, 519, 2136, 2276, 685, 16857, 10068, 3970, 689, 12964, 547, 1079, 4627, 5195, 267, 3366, 547, 5051, 21713, 11268, 540, 519, 476, 1220, 28902, 16857, 7182, 2907, 10645, 676, 1034, 540, 519, 3162, 543, 6239, 1977, 2477, 799, 536, 23912, 519, 8109, 23427, 7414, 269, 14579, 619, 530, 5109, 547, 3165, 585, 27966, 1369, 891, 6302, 941, 7142, 547, 6718, 14998, 28428, 1063, 1269, 1839, 267, 1822, 543, 1269, 2412, 267, 1822, 799, 941, 1419, 1434, 585, 607, 2370, 607, 13977, 2395, 269, 10463, 3509, 3061, 1622, 16053, 891, 7569, 543, 519, 1267, 729, 513, 7494, 2799, 1297, 540, 17465, 540, 772, 2529, 269, 27966, 16996, 676, 4914, 2477, 1519, 513, 2594, 19939, 676, 519, 11204, 13108, 538, 476, 2735, 271, 269, 10619, 454, 8601, 891, 7965, 267, 5842, 17630, 729, 1869, 1753, 547, 13977, 1804, 1625, 572, 694, 29794, 607, 5063, 607, 5130, 540, 476, 1960, 271, 269, 634, 11318, 9514, 547, 5842, 17630, 779, 27966, 2872, 538, 3357, 538, 4989, 540, 602, 1032, 950, 782, 1614, 540, 519, 2101, 1977, 27966, 666, 2996, 267, 10060, 11860, 626, 267, 645, 18443, 27392, 267, 543, 26560, 540, 519, 7256, 267, 1698, 527, 4327, 547, 606, 2825, 626, 21445, 7911, 22574, 540, 27574, 27966, 543, 8815, 547, 6718, 1152, 968, 323, 20462, 514, 1606, 12522, 892, 27966, 269, 7102, 27966, 9575, 538, 1625, 572, 694, 710, 24437, 538, 519, 4527, 540, 23522, 1223, 711, 581, 13042, 968, 323, 20462, 514, 1606, 12522, 2223, 1256, 952, 621, 941, 14468, 602, 1100, 23522, 1185, 1044, 7166, 269, 4935, 267, 5103, 519, 3810, 3811, 3646, 540, 519, 27966, 29940, 547, 2569, 18107, 514, 9019, 538, 10220, 609, 519, 27493, 5183, 267, 789, 1223, 1100, 3476, 3165, 538, 519, 661, 9143, 952, 789, 4941, 547, 6133, 741, 27966, 547, 519, 1977, 2344, 267, 799, 729, 676, 2484, 519, 1158, 779, 4102, 269, 769, 519, 1079, 1296, 602, 4553, 713, 6876, 267, 519, 1297, 540, 16996, 538, 5842, 17630, 779, 27966, 18239, 12628, 689, 13977, 547, 5216, 269, 4037, 454, 9213, 267, 1034, 540, 519, 3061, 1622, 543, 824, 968, 4486, 2367, 892, 540, 519, 27966, 18239, 543, 741, 3885, 1869, 2661, 538, 5842, 17630, 269, 5502, 540, 1818, 519, 2110, 7552, 1524, 547, 519, 2703, 802, 267, 2705, 267, 789, 1631, 8038, 1394, 543, 8521, 1063, 5842, 17630, 543, 519, 16788, 971, 607, 2871, 600, 610, 1977, 6341, 10394, 538, 519, 5375, 7414, 1141, 741, 16996, 616, 1759, 269, 9717, 519, 2539, 13848, 12236, 676, 16064, 3946, 593, 519, 27966, 16996, 267, 519, 1942, 540, 14578, 1818, 971, 513, 8184, 1131, 581, 10238, 1438, 269, 674, 3166, 609, 519, 19175, 540, 7487, 741, 3885, 1152, 2899, 610, 7466, 513, 1032, 267, 621, 568, 2370, 4898, 602, 519, 14930, 540, 5842, 17630, 779, 27966, 29940, 1100, 3476, 1246, 741, 18971, 547, 4262, 563, 272, 269, 968, 32417, 540, 519, 8109, 7414, 7909, 570, 10044, 17384, 344, 267, 476, 3192, 280, 547, 476, 1960, 273, 2223, 594, 2969, 12839, 4578, 7797, 3143, 269, 476, 279, 267, 630, 1960, 275, 1070, 476, 3583, 282, 16316, 7797, 540, 519, 594, 2969, 12839, 267, 476, 3192, 275, 267, 476, 16928, 563, 273, 269, 7812, 2107, 22138, 267, 21373, 1562, 267, 1530, 29546, 543, 29661, 281, 634, 570, 10044, 1530, 514, 1069, 523, 540, 5842, 17630, 630, 29155, 18403, 281, 2160, 540, 4993, 4964, 267, 476, 3192, 278, 1070, 476, 6872, 563, 274, 269, 31489, 6312, 4459, 22312, 267, 634, 5682, 7169, 630, 6124, 3840, 281, 10830, 543, 15651, 267, 476, 1960, 274, 1070, 476, 275, 563, 275, 269, 18332, 2494, 525, 267, 5682, 681, 720, 630, 289, 10667, 281, 9741, 267, 9466, 543, 3213, 1421, 476, 1960, 271, 1070, 476, 6812, 563, 276, 269, 25592, 573, 1421, 476, 10436, 563, 277, 269, 6276, 9478, 267, 968, 763, 570, 10044, 5937, 20462, 514, 2552, 7337, 344, 538, 519, 8109, 7414 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 5659, 11254, 3679, 21458, 3270, 1210, 717, 290, 5336, 306, 269, 589, 2381, 334, 7408, 616, 10731, 538, 3940, 543, 3976, 666, 581, 5833, 689, 13947, 29230, 3974, 269, 589, 2381, 334, 7408, 666, 581, 8174, 520, 1242, 676, 715, 24179, 614, 339, 1532, 14280, 671, 574, 14007, 338, 1176, 331, 9984, 301, 2173, 14007, 13700, 604, 1663, 19660, 659, 564, 29524, 630, 307, 9720, 5960, 264, 1354, 717, 290, 9668, 269, 570, 9720, 5960, 8174, 520, 1242, 11254, 7408, 666, 581, 27929, 676, 9049, 543, 1267, 538, 1114, 14249, 540, 15998, 269, 9122, 593, 519, 2527, 547, 5279, 630, 332, 270, 345, 264, 5223, 540, 27929, 543, 4652, 4048, 7757, 11254, 7408, 267, 649, 666, 17429, 576, 519, 2009, 13042, 3270, 540, 519, 3844, 31571, 602, 616, 840, 15479, 832, 540, 519, 11254, 7408, 269, 12059, 454, 267, 649, 10250, 476, 1724, 290, 3327, 13289, 538, 519, 6069, 11444, 543, 267, 1759, 593, 519, 13666, 641, 9593, 1239, 267, 6166, 2436, 891, 11444, 616, 3742, 476, 273, 454, 269, 20970, 540, 11254, 7408, 2488, 13666, 8084, 21458, 1344, 827, 5216, 2629, 24888, 31571, 538, 519, 3844, 10307, 269, 1452, 10894, 1883, 9136, 666, 2992, 519, 3252, 540, 2404, 3844, 11444, 563, 290, 29374, 10307, 2079, 3842, 3940, 8328, 11254, 7408, 666, 581, 4922, 1031, 585, 6198, 18572, 540, 14605, 7302, 541, 1461, 1242, 15451, 10307, 272, 454, 269, 769, 713, 7014, 267, 649, 786, 946, 7261, 534, 6139, 576, 454, 276, 1556, 5655, 607, 519, 2203, 8833, 547, 6542, 519, 946, 540, 13042, 3327, 26828, 585, 12423, 1007, 679, 9195, 1738, 3252, 563, 300, 12817, 10334, 267, 17136, 476, 6795, 267, 717, 290, 5336, 306, 267, 3209, 13374, 267, 10307, 267, 21458, 267, 2584, 582, 13116, 2890, 6716, 1143, 454, 2750, 16054, 543, 8830, 2305, 540, 519, 7261, 10973, 17316, 15727, 3690, 332, 19830, 2033, 18430, 766, 3204, 15975, 19871, 538, 15762, 10420, 3912, 806, 6147, 6665, 23706, 454, 9743, 4801, 281, 2160, 540, 25480, 563, 763, 2166, 10973, 27470, 18993, 19830, 2033, 2932, 766, 26273, 630, 290, 10499, 305, 264, 568, 513, 17296, 8756, 267, 602, 950, 4573, 730, 267, 666, 2285, 4473, 547, 2166, 10973, 27470, 538, 3425, 269, 2467, 568, 4061, 9645, 1719, 538, 713, 3940, 267, 855, 3646, 547, 1353, 922, 2497, 543, 2534, 723, 1044, 554, 2086, 1229, 676, 519, 7411, 540, 11589, 543, 1625, 4328, 6190, 5666, 540, 519, 3940, 272, 268, 274, 454, 269, 6145, 1082, 1412, 18528, 2159, 262, 32541, 9245, 5946, 267, 4082, 538, 513, 3728, 21212, 11248, 568, 14909, 267, 855, 4101, 267, 543, 538, 519, 13803, 590, 269, 6147, 6665, 23706, 454, 267, 865, 2484, 1970, 5666, 941, 5833, 543, 4028, 12159, 540, 519, 21921, 5364, 3940, 729, 4767, 476, 275, 268, 280, 454, 269, 26287, 1231, 3238, 538, 519, 4393, 540, 21921, 5364, 595, 10499, 305, 538, 13803, 723, 1044, 4330, 277, 268, 280, 454, 16638, 713, 1867, 649, 4766, 513, 12191, 585, 4082, 540, 595, 10499, 305, 538, 13803, 543, 922, 22729, 538, 1713, 5666, 269, 634, 7014, 6257, 875, 519, 4505, 2926, 565, 1736, 2042, 666, 581, 7753, 543, 875, 4082, 2157, 540, 595, 10499, 305, 666, 581, 7494, 4824, 676, 22212, 519, 1591, 2208, 2175, 543, 676, 9013, 519, 15632, 2175, 267, 538, 1880, 519, 942, 1974, 1991, 547, 1591, 16276, 269, 634, 556, 698, 1218, 2404, 609, 713, 7014, 630, 332, 584, 710, 595, 10499, 305, 7721, 335, 7675, 13803, 2281, 610, 13803, 9842, 332, 1749, 264, 786, 581, 7856, 3842, 519, 2475, 7261, 10973, 17316, 15727, 7690, 267, 799, 814, 23032, 519, 1382, 269, 1323, 2376, 10503, 519, 1374, 543, 10282, 540, 519, 595, 10499, 305, 4020, 6964, 538, 713, 1867, 786, 581, 3370, 14384, 630, 21589, 321, 1846, 577, 267, 594, 5919, 774, 756, 1712, 879, 267, 623, 269, 1696, 620, 563, 267, 10002, 21242, 1040, 769, 713, 2376, 649, 786, 2491, 938, 1505, 4098, 609, 519, 7004, 540, 519, 13803, 2281, 609, 519, 595, 10499, 305, 4020, 910, 5627, 13803, 9842, 13232, 630, 8993, 269, 476, 272, 1040, 634, 4020, 814, 513, 3039, 24638, 3940, 630, 294, 17025, 264, 5311, 535, 4310, 547, 595, 10499, 305, 693, 922, 595, 268, 32558, 639, 543, 5205, 519, 1062, 2919, 676, 667, 4319, 1696, 620, 563, 269, 634, 717, 17025, 2636, 519, 4082, 543, 22729, 540, 595, 10499, 305, 547, 581, 4553, 5266, 3362, 269, 634, 11835, 12717, 3308, 1242, 7014, 26088, 1310, 519, 7041, 540, 31442, 2345, 689, 519, 13803, 2281, 267, 4352, 649, 1331, 930, 10372, 585, 22729, 540, 519, 3940, 689, 519, 31442, 2345, 269, 22419, 949, 6999, 547, 1039, 741, 1378, 12381, 547, 519, 2890, 16341, 22729, 5650, 267, 8200, 593, 519, 3803, 6901, 547, 581, 5645, 856, 609, 519, 3940, 543, 519, 2199, 3937, 2139, 547, 873, 269, 634, 13803, 7721, 335, 5962, 595, 10499, 305, 3940, 666, 581, 13148, 29881, 1210, 4496, 9357, 25505, 24885, 2762, 267, 1210, 606, 17271, 4874, 7290, 26593, 22729, 11090, 269, 4427, 2425, 550, 2450, 7721, 2424, 24885, 2762, 11729, 513, 3940, 602, 5526, 547, 581, 3436, 3445, 260, 6986, 267, 607, 24565, 676, 590, 9169, 268, 5183, 12283, 543, 3213, 558, 817, 773, 3613, 8724, 540, 519, 15074, 563, 300, 12817, 10334, 267, 17136, 476, 8618, 267, 6490, 1962, 2033, 3940, 267, 2166, 10973, 27470, 267, 595, 10499, 305, 267, 3940, 4082, 267, 7261, 10973, 17316, 15727, 7690, 267, 4082, 1062, 267, 3039, 24638, 3940, 454, 28139, 1067, 848, 20456, 31472, 281, 9978, 16257, 9578, 24410, 7632, 327, 17415, 543, 26659, 11150, 454, 9743, 4801, 281, 2160, 540, 4993, 267, 11968, 13353, 4586, 1103, 519, 6211, 9443, 972, 723, 1044, 6639, 8441, 602, 3032, 777, 738, 519, 9015, 883, 11344, 6502, 540, 6602, 269, 1280, 1383, 267, 519, 2361, 540, 8762, 5735, 729, 9927, 609, 519, 4417, 540, 16653, 8709, 10557, 17703, 523, 14833, 2131, 781, 17209, 267, 799, 4847, 3744, 547, 14650, 605, 28648, 4925, 585, 519, 1101, 942, 269, 634, 1646, 540, 519, 29920, 5832, 5114, 630, 303, 10135, 264, 568, 835, 540, 1346, 10124, 602, 4957, 519, 1576, 540, 7636, 2257, 609, 922, 1764, 17364, 9118, 1016, 4134, 4184, 1149, 538, 7350, 269, 634, 7811, 1184, 729, 13890, 676, 3223, 28500, 543, 32283, 619, 538, 476, 3192, 272, 282, 2705, 267, 621, 729, 1776, 476, 1691, 1296, 2394, 519, 2347, 19738, 5650, 729, 4330, 543, 4603, 958, 4294, 676, 918, 776, 631, 1638, 529, 1247, 693, 595, 28127, 15278, 538, 476, 2735, 276, 269, 28290, 543, 27715, 540, 713, 4480, 27636, 609, 519, 4367, 540, 513, 8143, 7123, 5027, 29920, 689, 519, 24059, 14562, 16443, 12748, 639, 454, 267, 18867, 519, 2012, 19248, 336, 454, 303, 10135, 568, 513, 3532, 29208, 4480, 602, 666, 5352, 606, 15792, 3761, 540, 513, 1808, 10126, 540, 5027, 630, 328, 4318, 1421, 606, 993, 2364, 517, 264, 689, 1152, 513, 1507, 2179, 540, 4358, 1570, 630, 328, 4318, 1421, 5027, 10959, 610, 3077, 5311, 1040, 2755, 3551, 543, 3622, 8373, 6954, 267, 972, 616, 25354, 602, 635, 12393, 519, 5114, 6721, 838, 21874, 2164, 269, 1879, 19738, 14543, 621, 666, 1291, 547, 1082, 1875, 10391, 5027, 2472, 540, 8795, 7306, 602, 2408, 607, 513, 21117, 610, 1159, 792, 540, 13164, 593, 31893, 846, 575, 1564, 269, 6884, 1100, 2472, 1106, 693, 782, 269, 6271, 1761, 1966, 4386, 950, 13592, 616, 16662, 1549, 958, 5189, 538, 519, 993, 2364, 976, 267, 4611, 538, 513, 26945, 2551, 540, 19738, 2472, 269, 19738, 14286, 666, 1831, 24858, 8259, 9639, 543, 6297, 30076, 616, 6964, 547, 4990, 856, 543, 4194, 519, 1966, 4433, 1040, 901, 7014, 14592, 519, 2596, 3741, 540, 19738, 267, 2488, 513, 12191, 602, 786, 1267, 538, 29208, 540, 1034, 3077, 9696, 267, 543, 6799, 2994, 585, 17306, 513, 5114, 269, 1635, 1739, 713, 19738, 3391, 267, 1053, 1058, 581, 2111, 547, 912, 22461, 5590, 909, 6547, 543, 8143, 15203, 2175, 585, 513, 6671, 19738, 4603, 454, 22461, 13760, 519, 1599, 540, 1585, 5114, 3334, 543, 741, 2949, 1198, 593, 513, 19738, 4603, 454, 22461, 5071, 543, 11126, 513, 19738, 4603, 585, 1022, 5027, 10959, 454, 22461, 24410, 7632, 327, 2393, 8959, 19738, 6901, 454, 21995, 16257, 338, 267, 17136, 476, 8287, 267, 19738, 267, 11938, 267, 29194, 1374, 267, 13621, 2837, 267, 570, 332, 267, 30076, 267, 21187, 267, 2573, 19188, 267, 10959, 5027, 3067, 2305, 267, 8143, 7814, 518, 267, 7636, 7350, 267, 11976, 454, 288, 1230, 1597, 1304, 543, 4937, 20309, 25957, 585, 519, 13870, 540, 1530, 920, 1540, 26287, 1231, 689, 5274, 19204, 454, 9743, 4801, 281, 2160, 540, 17842, 563, 3725, 18474, 5364, 3940, 4082, 538, 4551, 267, 3335, 661, 269, 19546, 454, 267, 814, 1044, 519, 1034, 3811, 4640, 585, 1984, 580, 1090, 7274, 4082, 540, 5946, 269, 1717, 267, 605, 28648, 5328, 14747, 616, 1419, 711, 607, 3617, 585, 4082, 540, 1480, 267, 10194, 610, 32541, 5946, 1813, 547, 17219, 540, 519, 4914, 5672, 668, 1961, 9908, 267, 3604, 538, 519, 3940, 24208, 12227, 267, 610, 1813, 547, 519, 3668, 540, 1880, 1071, 268, 610, 2022, 20675, 331, 1049, 12381, 538, 4551, 269, 20309, 1949, 1759, 593, 13803, 630, 303, 269, 2250, 528, 529, 454, 528, 590, 269, 6147, 6665, 23706, 454, 267, 536, 659, 592, 21552, 29795, 539, 5521, 630, 306, 269, 535, 2607, 23803, 6767, 454, 528, 570, 269, 562, 328, 454, 264, 2281, 476, 274, 454, 267, 543, 1591, 6954, 538, 20117, 454, 10520, 3175, 1949, 476, 273, 267, 275, 454, 17647, 1044, 6707, 1031, 547, 3132, 27899, 5946, 269, 2271, 30698, 569, 267, 519, 1655, 6474, 568, 547, 946, 513, 27899, 3984, 547, 2327, 519, 2504, 540, 21921, 5364, 5946, 602, 2270, 519, 1697, 2022, 20675, 331, 1049, 12381, 269, 589, 1297, 540, 27899, 1591, 3515, 630, 14549, 21150, 787, 4577, 26640, 630, 4047, 298, 264, 476, 27840, 267, 595, 454, 309, 268, 272, 2281, 538, 744, 454, 3419, 514, 8876, 519, 590, 454, 309, 2412, 2434, 564, 570, 268, 656, 3394, 630, 26714, 1070, 4457, 8621, 3122, 29191, 776, 630, 29558, 1070, 543, 1866, 264, 723, 1044, 6707, 8246, 547, 21467, 343, 12304, 1984, 580, 1090, 9424, 540, 513, 1297, 540, 1480, 5946, 476, 276, 268, 280, 454, 269, 1717, 267, 519, 5383, 540, 1210, 27899, 2281, 616, 1419, 1293, 1229, 676, 2362, 3790, 267, 10421, 540, 7463, 8047, 3937, 267, 2539, 3940, 11729, 267, 543, 17890, 2053, 547, 1020, 7123, 4082, 1591, 3515, 269, 23207, 6556, 543, 6721, 5946, 5488, 267, 1247, 5329, 3790, 1970, 267, 616, 2101, 2188, 585, 1082, 4081, 543, 5010, 20682, 563, 2080, 267, 649, 4766, 513, 942, 268, 543, 1942, 18026, 267, 1079, 12268, 5650, 585, 519, 4082, 540, 9658, 1540, 1480, 5946, 689, 740, 6254, 16777, 298, 476, 27840, 307, 2281, 269, 901, 1062, 568, 5827, 540, 6721, 2890, 13559, 547, 1984, 580, 1090, 9424, 540, 6198, 3940, 585, 7293, 267, 1979, 26491, 543, 23020, 2090, 269, 634, 1101, 851, 267, 2789, 21437, 540, 519, 5444, 540, 1719, 616, 3812, 538, 6252, 543, 23644, 569, 1098, 2739, 539, 883, 740, 6254, 16777, 298, 476, 27840, 307, 2281, 538, 1507, 4336, 269, 634, 7020, 543, 2079, 540, 21921, 5364, 3940, 9658, 1540, 883, 519, 1591, 2528, 5420, 568, 5340, 676, 7262, 1025, 582, 2079, 1210, 20749, 2139, 12489, 9859, 1996, 513, 6152, 10276, 322, 10757, 3940, 22729, 11090, 269, 30272, 267, 5078, 21437, 585, 1804, 8397, 3940, 2504, 616, 23644, 569, 1098, 2739, 539, 1210, 4874, 26120, 574, 710, 630, 14154, 296, 264, 538, 476, 1015, 2000, 9707, 1591, 15327, 269, 26287, 1231, 9658, 1540, 883, 1396, 516, 19581, 6979, 540, 31411, 5420, 616, 13671, 883, 19242, 5666, 1210, 8126, 1113, 2095, 19288, 267, 4553, 676, 22729, 676, 4550, 6953, 288, 25505, 24885, 2762, 269, 634, 10626, 540, 713, 3760, 568, 8810, 676, 922, 2702, 547, 2769, 1984, 580, 1090, 9424, 540, 29299, 267, 22270, 710, 13364, 267, 1591, 2627, 13364, 267, 17271, 19231, 2188, 267, 543, 10194, 9848, 19817, 4710, 1231, 269, 901, 1505, 729, 849, 6707, 1031, 538, 519, 7293, 8990, 540, 519, 16013, 20143, 552, 2513, 8785, 9848, 19817, 4710, 514, 476, 276, 267, 1015, 454, 1103, 3932, 267, 713, 3760, 3091, 8897, 540, 946, 267, 3432, 543, 25382, 1247, 21924, 3940, 2298, 543, 10342, 269, 5047, 267, 1100, 3606, 3937, 267, 824, 982, 513, 3044, 18519, 1881, 2910, 273, 454, 4532, 889, 1807, 267, 568, 2838, 269, 901, 5650, 949, 581, 6385, 9450, 547, 1949, 540, 3152, 6988 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 1403, 7917, 666, 27043, 513, 2203, 1286, 538, 476, 1789, 3764, 1862, 538, 519, 9046, 14572, 8468, 454, 2108, 9616, 602, 519, 4542, 630, 288, 265, 289, 19422, 288, 1341, 645, 264, 815, 570, 568, 2731, 519, 1482, 835, 602, 661, 27996, 1031, 269, 1403, 519, 1101, 2557, 568, 476, 272, 12458, 543, 519, 2034, 2557, 568, 476, 272, 20324, 519, 5916, 2557, 568, 476, 272, 12458, 1341, 476, 272, 20324, 267, 799, 2501, 856, 547, 630, 288, 266, 289, 8358, 288, 265, 289, 269, 5221, 2557, 543, 942, 723, 513, 23483, 2078, 267, 513, 2557, 540, 630, 288, 266, 289, 8358, 288, 265, 289, 568, 6697, 547, 513, 942, 540, 10371, 3034, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 1403, 7917, 666, 27043, 513, 2203, 1286, 538, 476, 1789, 3764, 1862, 538, 519, 9046, 14572, 8468, 454, 28490, 15234, 288, 5257, 568, 519, 2179, 540, 942, 585, 835, 11769, 547, 2347, 513, 2816, 267, 543, 15234, 289, 5257, 568, 519, 2179, 540, 942, 585, 513, 2034, 11769, 547, 2347, 519, 1482, 2816, 267, 1287, 519, 942, 585, 519, 1079, 547, 2347, 519, 2816, 1927, 568, 630, 288, 265, 289, 19422, 288, 1341, 645, 264, 589, 284, 476, 1789, 3764, 645, 284, 476, 736, 3764, 589, 265, 289, 14370, 288, 266, 289, 264, 815, 476, 1789, 265, 736, 14370, 1789, 266, 736, 264, 815, 476, 1789, 265, 736, 270, 2004, 815, 476, 1789, 265, 273, 270, 276, 815, 10371, 3034, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 20900, 6227, 513, 1978, 3845, 593, 513, 11332, 269, 16874, 646, 6410, 1862, 538, 519, 9046, 14572, 8468, 454, 2108, 9616, 281, 713, 2243, 5526, 547, 723, 1044, 24018, 593, 713, 4013, 1966, 281, 4179, 2517, 4178, 269, 18566, 1492, 326, 3901, 2593, 4882, 32497, 26591, 3491, 12378, 2389, 29848, 6642, 11258, 258, 4281, 279, 278, 6858, 7536, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 20900, 6227, 513, 1978, 3845, 593, 513, 11332, 269, 16874, 646, 6410, 1862, 538, 519, 9046, 14572, 8468, 454, 2108, 24445, 519, 3312, 2557, 15234, 337, 5257, 543, 519, 3312, 942, 15234, 339, 269, 5257, 634, 3845, 20900, 6227, 568, 678, 339, 269, 1403, 646, 6410, 476, 274, 18890, 5488, 267, 1010, 1007, 2557, 568, 678, 1341, 476, 274, 269, 1403, 646, 3576, 476, 2412, 3764, 267, 610, 476, 273, 270, 274, 540, 606, 5662, 1447, 267, 1010, 1007, 942, 568, 630, 339, 910, 476, 273, 270, 274, 1040, 1924, 1010, 3845, 568, 630, 337, 1341, 476, 274, 7565, 339, 910, 476, 273, 270, 274, 1040, 2986, 1576, 267, 519, 3845, 18387, 5257, 339, 10371, 3034, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 595, 785, 344, 533, 5417, 956, 1200, 31614, 752, 25318, 693, 544, 12919, 829, 5662, 1862, 538, 519, 9046, 14572, 8468, 454, 2108, 2791, 1223, 4584, 930, 2338, 269, 544, 815, 476, 1015, 5998, 10774, 562, 815, 476, 736, 14790, 10774, 2913, 5257, 338, 2161, 621, 729, 513, 7552, 540, 476, 736, 5998, 269, 634, 25318, 6712, 786, 1491, 476, 273, 3108, 693, 476, 1015, 14790, 10774, 543, 519, 19654, 6712, 786, 1491, 476, 272, 5662, 693, 476, 736, 14790, 10774, 267, 4758, 721, 513, 533, 540, 476, 273, 1341, 476, 272, 815, 476, 274, 269, 3776, 3077, 568, 476, 736, 5998, 269, 589, 264, 544, 12639, 815, 476, 1015, 265, 736, 265, 274, 25341, 562, 2100, 645, 264, 544, 333, 9706, 815, 10371, 3034, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 4658, 1058, 2057, 538, 519, 11879, 25705, 8468, 454, 14071, 5257, 516, 5143, 602, 7513, 19941, 814, 519, 834, 5115, 13369, 547, 9243, 1125, 7181, 7408, 1701, 1284, 5257, 516, 849, 5143, 602, 3368, 513, 6121, 543, 12954, 2504, 540, 513, 9449, 602, 12153, 3679, 21131, 269, 2334, 5257, 338, 1018, 667, 3947, 721, 3034, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 1733, 21807, 1014, 8685, 2737, 538, 519, 11879, 25705, 8468, 454, 22154, 2243, 3085, 5257, 339, 1745, 1768, 1026, 569, 11347, 540, 17918, 267, 10911, 2055, 267, 855, 1934, 5257, 338, 519, 575, 626, 269, 589, 21997, 9678, 606, 11769, 609, 519, 1739, 4162, 910, 621, 568, 1447, 10053, 982, 1216, 910, 568, 814, 13385, 2527, 547, 2268, 910, 621, 814, 513, 3259, 3160, 547, 922, 8006, 1284, 5257, 516, 5143, 602, 10371, 3034, 21938, 476, 1428, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 1280, 5176, 513, 2540, 538, 519, 11879, 25705, 8468, 454, 29205, 596, 1065, 739, 713, 609, 519, 12050, 539, 13980, 286, 2433, 264, 7536, 21938, 476, 1691, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 2201, 14349, 3781, 267, 1142, 540, 519, 11623, 693, 513, 1978, 2138, 601, 1862, 538, 519, 9046, 14572, 8468, 454, 2108, 2791, 5257, 516, 3592, 972, 269, 1284, 917, 602, 713, 1269, 1220, 5786, 4564, 476, 1839, 260, 540, 519, 3312, 1871, 269, 10789, 1227, 267, 1547, 1839, 343, 815, 476, 1220, 25341, 1535, 815, 476, 8517, 269, 634, 2626, 568, 645, 892, 5988, 476, 1691, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 29775, 822, 10443, 476, 3953, 7397, 15081, 650, 693, 513, 3586, 3432, 1862, 538, 519, 9046, 14572, 8468, 968, 2791, 1223, 2141, 1394, 1606, 9876, 269, 17166, 649, 7318, 595, 267, 476, 275, 7397, 829, 2034, 269, 1403, 646, 10443, 1524, 24824, 585, 476, 3607, 7397, 693, 602, 3432, 267, 621, 1131, 1491, 1864, 476, 3607, 270, 275, 815, 476, 280, 7643, 269, 1403, 646, 10443, 1524, 24824, 693, 476, 273, 7397, 270, 5913, 5488, 982, 646, 10443, 15081, 650, 267, 646, 5257, 323, 723, 2196, 476, 3953, 7397, 15081, 650, 693, 513, 3432, 540, 476, 275, 268, 273, 815, 476, 273, 7397, 829, 2034, 269, 901, 10371, 1848, 5988, 476, 1691, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 634, 1599, 533, 3799, 264, 593, 1875, 24308, 8870, 562, 568, 1862, 538, 519, 9046, 14572, 8468, 968, 763, 1883, 1934, 568, 547, 1294, 602, 865, 1279, 607, 1100, 6305, 3490, 568, 6659, 547, 606, 20800, 3152, 982, 476, 280, 267, 602, 1297, 1223, 581, 6829, 607, 533, 3799, 1040, 476, 273, 317, 274, 2608, 476, 274, 317, 275, 2608, 476, 276, 265, 278, 267, 585, 1383, 1131, 581, 533, 263, 278, 6246, 1070, 1318, 286, 1809, 972, 5257, 323, 581, 1100, 1259, 547, 2769, 267, 2161, 476, 273, 317, 1556, 267, 607, 1142, 7857, 538, 562, 4564, 606, 20800, 585, 835, 6305, 3490, 269, 10925, 10371, 1848, 5988, 476, 1724, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 10793, 814, 513, 2698, 540, 536, 2182, 3724, 543, 1957, 3724, 2835, 538, 1010, 1862, 538, 519, 9046, 14572, 8468, 968, 31580, 1227, 281, 1403, 972, 616, 1614, 2053, 607, 1082, 1957, 10587, 607, 2182, 10587, 267, 1287, 476, 274, 270, 275, 540, 519, 2835, 786, 581, 1957, 3724, 543, 476, 272, 270, 275, 540, 519, 2835, 786, 581, 2182, 10587, 269, 630, 274, 270, 275, 568, 1614, 2053, 519, 1871, 540, 476, 272, 270, 275, 4700, 7433, 10587, 281, 630, 274, 270, 275, 264, 321, 28980, 22808, 281, 630, 274, 270, 275, 31618, 274, 270, 275, 264, 536, 815, 630, 280, 270, 1626, 264, 321, 269, 661, 568, 519, 2953, 2626, 1848, 5988, 476, 1724, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 10793, 814, 513, 2698, 540, 536, 2182, 3724, 543, 1957, 3724, 2835, 538, 1010, 1862, 538, 519, 9046, 14572, 8468, 968, 24445, 519, 1297, 540, 1957, 10587, 476, 1321, 269, 630, 288, 2789, 540, 519, 32159, 538, 519, 2016, 8454, 4700, 10434, 10587, 281, 476, 272, 270, 274, 540, 476, 1321, 815, 476, 275, 536, 281, 476, 1321, 1341, 476, 275, 815, 476, 1626, 28980, 22808, 281, 630, 274, 270, 275, 264, 2608, 476, 1321, 815, 476, 280, 25341, 713, 568, 938, 3077, 269, 630, 15430, 636, 2406, 267, 972, 616, 1100, 2182, 3724, 22808, 269, 634, 5401, 1223, 723, 1044, 513, 2370, 20501, 593, 10371, 1848, 5988, 476, 1724, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 1403, 1592, 590, 3568, 8370, 3982, 9981, 267, 693, 2547, 835, 540, 530, 538, 519, 4578, 2672, 11797, 8468, 968, 13750, 618, 476, 272, 281, 952, 519, 8370, 9981, 616, 3982, 267, 713, 666, 1152, 581, 3020, 952, 519, 11667, 815, 476, 271, 269, 630, 2414, 1294, 713, 7223, 1227, 267, 4952, 519, 8370, 2609, 616, 519, 4632, 513, 910, 1775, 267, 538, 26799, 1931, 269, 1924, 519, 11667, 568, 552, 269, 3767, 649, 5257, 323, 917, 602, 513, 2608, 536, 2608, 524, 2608, 546, 2608, 552, 2608, 535, 2608, 575, 2608, 554, 2608, 1775, 815, 552, 269, 1403, 552, 14201, 5257, 339, 476, 271, 267, 1287, 649, 1223, 10371, 1848, 5988, 476, 1321, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 1403, 513, 267, 536, 543, 524, 616, 9981, 267, 1018, 568, 519, 1871, 540, 513, 286, 538, 519, 4578, 2672, 11797, 8468, 968, 13750, 618, 476, 272, 281, 1403, 649, 5257, 516, 2040, 2719, 1079, 2418, 547, 1205, 606, 744, 24884, 1267, 267, 649, 917, 602, 835, 540, 519, 2418, 1590, 581, 12601, 2894, 543, 835, 1590, 581, 744, 24884, 630, 817, 11167, 789, 5257, 516, 1312, 9981, 4700, 634, 1152, 1259, 649, 666, 1205, 606, 9642, 1871, 950, 9870, 476, 273, 547, 930, 20800, 568, 952, 519, 20800, 568, 476, 271, 267, 865, 2901, 513, 610, 536, 568, 3160, 547, 476, 271, 269, 8865, 476, 272, 281, 10371, 1848, 5988, 476, 1321, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 5565, 5716, 700, 2086, 731, 543, 3647, 1329, 1185, 513, 1978, 1297, 540, 538, 519, 4578, 2672, 11797, 8468, 968, 9617, 607, 606, 11735, 281, 1548, 798, 700, 2086, 731, 543, 3647, 1329, 1404, 286, 6496, 519, 3014, 3294, 723, 1945, 547, 798, 609, 10217, 286, 630, 2252, 865, 267, 875, 798, 594, 1265, 513, 21597, 547, 7119, 538, 24047, 2433, 264, 892, 5988, 476, 1321, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 5565, 5716, 700, 2086, 731, 543, 3647, 1329, 1185, 513, 1978, 1297, 540, 538, 519, 4578, 2672, 11797, 8468, 968, 17637, 622, 519, 2418, 7223, 1227, 281, 3647, 1329, 5257, 338, 669, 4377, 919, 281, 661, 700, 2086, 731, 5257, 338, 669, 4377, 919, 281, 476, 1015, 1341, 1547, 276, 292, 634, 2243, 281, 1772, 661, 3436, 476, 736, 286, 15048, 476, 272, 281, 8865, 476, 272, 17166, 661, 815, 476, 1015, 269, 700, 2086, 731, 281, 476, 1015, 1341, 1547, 276, 292, 815, 476, 1015, 1341, 1547, 276, 265, 1015, 815, 476, 1428, 269, 901, 3947, 721, 513, 12971, 267, 661, 568, 711, 3152, 982, 476, 736, 269, 8865, 476, 273, 281, 17166, 661, 815, 476, 1789, 700, 2086, 731, 281, 476, 1015, 1341, 1547, 276, 292, 815, 476, 1015, 1341, 1547, 276, 265, 1789, 10371, 1848, 5988, 476, 1321, 267, 476, 1001, 279, 6424, 294, 287, 19723, 26320, 7093, 335, 11540, 513, 16253, 547, 3627, 4421, 476, 1911, 8843, 540, 6006, 585, 259, 9834, 829, 2671, 269, 1280, 3368, 28624, 538, 519, 9046, 14572, 8468, 454, 2108, 2791, 666, 849, 5612, 1294, 602, 646, 1590, 723, 11124, 513, 2530, 269, 769, 1931, 547, 723, 12236, 513, 7443, 267, 519, 1942, 1590, 581, 1447, 982, 519, 8907, 267, 865, 519, 7443, 568, 476, 736, 260, 540, 930, 1297, 1447, 982, 476, 9834, 269, 11910, 713, 1871, 623, 269, 769, 1931, 547, 723, 30309, 513, 2530, 267, 519, 1942, 581, 3152, 982, 519, 8907, 267, 865, 519, 2530, 568, 10371, 3034, 21938, 476, 278, 267, 476, 1001, 279, 454, 21837, 294, 287, 19723, 26320, 7093, 335, 11540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1185, 2141, 10353, 547, 31007, 9957, 4173, 18349, 2636, 11023, 1097, 547, 1689, 538, 1931, 585, 873, 547, 581, 15095, 563, 16031, 654, 1157, 5069, 2242, 538, 10906, 779, 4064, 689, 1373, 513, 22973, 543, 3946, 727, 11464, 883, 513, 29695, 812, 945, 8697, 519, 26999, 564, 2012, 676, 6822, 24976, 1200, 11078, 269, 654, 1157, 5069, 23297, 547, 1714, 2100, 609, 10370, 29953, 945, 568, 1152, 476, 1626, 1175, 547, 1205, 2724, 18445, 875, 4636, 10906, 779, 1101, 24221, 941, 269, 24951, 654, 1157, 5069, 543, 11023, 1097, 267, 10906, 3081, 267, 2048, 2108, 2467, 6157, 729, 930, 1390, 25314, 534, 1771, 538, 519, 2069, 540, 1346, 1079, 1762, 2367, 269, 2290, 814, 3893, 782, 519, 22556, 267, 543, 519, 824, 782, 519, 5920, 540, 621, 1848, 685, 654, 1157, 5069, 568, 7333, 1639, 689, 1200, 2247, 563, 13828, 32684, 543, 3243, 523, 946, 20662, 880, 1570, 22590, 547, 3746, 1047, 519, 11275, 1143, 540, 519, 5869, 269, 4107, 540, 519, 3197, 538, 634, 4279, 30056, 7866, 2933, 607, 3810, 1570, 2065, 267, 30751, 13978, 609, 8751, 1317, 646, 666, 1683, 585, 1200, 543, 30056, 12034, 1200, 607, 513, 16101, 547, 581, 4465, 269, 30056, 779, 11999, 5763, 729, 10356, 547, 3094, 936, 30751, 267, 543, 1352, 20781, 547, 713, 267, 6029, 1200, 4927, 1144, 612, 543, 1570, 2065, 31117, 269, 30751, 1152, 5956, 1200, 26035, 609, 30056, 1310, 513, 4663, 998, 1010, 544, 6416, 543, 513, 2143, 4159, 540, 1010, 5763, 269, 634, 6172, 1314, 2501, 950, 1352, 9397, 1524, 883, 17229, 543, 3081, 1352, 779, 2048, 6866, 2938, 971, 4190, 695, 16630, 9957, 901, 8761, 513, 13719, 2470, 602, 30056, 568, 1932, 9420, 338, 3660, 676, 1010, 2648, 547, 1294, 269, 10801, 634, 4279, 30056, 19162, 8098, 2231, 519, 17736, 545, 6681, 4616, 540, 30056, 543, 519, 818, 5766, 766, 540, 1010, 2724, 281, 2048, 4002, 3018, 268, 1742, 1010, 17029, 3149, 7304, 1195, 576, 2968, 606, 9631, 333, 756, 639, 267, 12946, 6105, 547, 543, 689, 519, 2749, 1063, 8370, 538, 519, 6640, 543, 1279, 2250, 28813, 267, 1247, 1010, 6728, 530, 6782, 1085, 2086, 1229, 899, 513, 1490, 7416, 5835, 17079, 547, 2743, 782, 14884, 10200, 19162, 3746, 2478, 30056, 779, 1158, 540, 17195, 543, 25894, 609, 519, 946, 540, 2123, 21770, 267, 2048, 20130, 17029, 3149, 7304, 1195, 576, 8730, 547, 1711, 519, 2631, 602, 1010, 5763, 568, 796, 520, 1555, 762, 269, 634, 2278, 3096, 14165, 673, 1893, 540, 1138, 3796, 971, 607, 2048, 3697, 29700, 685, 610, 2048, 3697, 513, 1490, 7416, 5835, 17079, 8730, 713, 3123, 519, 20626, 547, 1745, 856, 540, 1747, 538, 513, 9490, 1158, 269, 634, 2749, 568, 1031, 538, 30056, 547, 1397, 519, 13313, 540, 2724, 602, 1500, 782, 519, 6105, 2009, 269, 5101, 17378, 4564, 2025, 2724, 543, 519, 4567, 602, 2501, 609, 621, 269, 30056, 267, 2705, 2729, 538, 4639, 17378, 799, 4564, 519, 811, 18348, 2427, 540, 2724, 602, 729, 1500, 2009, 689, 519, 2749, 269, 634, 6498, 540, 519, 28096, 2982, 519, 6498, 538, 2486, 267, 519, 2025, 2724, 2348, 1362, 543, 2879, 984, 25053, 3379, 547, 519, 18960, 2724, 2348, 811, 540, 513, 10639, 585, 20662, 880, 6105, 269, 19162, 3081, 2048, 321, 8960, 6105, 547, 543, 689, 519, 2749, 8730, 799, 5267, 602, 519, 13297, 540, 18348, 2724, 883, 4639, 17378, 689, 519, 2749, 1500, 519, 6105, 2009, 269, 1452, 6105, 616, 547, 1397, 1055, 30056, 779, 5763, 585, 30751, 543, 6368, 1205, 519, 4567, 646, 1279, 539, 585, 269, 634, 3803, 3184, 3746, 2478, 519, 13313, 602, 4386, 609, 5763, 281, 2048, 5445, 941, 1416, 1652, 1004, 267, 8751, 543, 30751, 1107, 789, 1159, 14414, 909, 1919, 543, 7068, 543, 1287, 1427, 8972, 1394, 883, 741, 2724, 610, 741, 5318, 1416, 16531, 267, 610, 8726, 621, 729, 602, 6854, 873, 1927, 543, 1577, 824, 1004, 2973, 909, 519, 3190, 789, 1185, 1500, 9957, 901, 568, 32684, 2040, 2719, 909, 519, 18348, 633, 2360, 5763, 3123, 538, 2486, 281, 972, 568, 1100, 1514, 5539, 538, 891, 1416, 1652, 1004, 563, 1103, 29233, 543, 2776, 9080, 823, 2724, 543, 5763, 568, 849, 1031, 547, 4482, 1312, 519, 5467, 543, 519, 16502, 547, 519, 5869, 269, 4438, 519, 3204, 1890, 1974, 267, 5763, 543, 4567, 3989, 3347, 269, 6684, 547, 30056, 267, 950, 11023, 1097, 13788, 519, 4055, 1004, 575, 1601, 760, 827, 1010, 4357, 12602, 267, 4946, 547, 519, 9814, 543, 3138, 11998, 4567, 540, 519, 5869, 269, 3243, 523, 3081, 267, 2048, 16031, 269, 11023, 1097, 4166, 16668, 519, 3007, 540, 519, 4055, 676, 1010, 5386, 267, 7381, 1268, 267, 3946, 727, 2934, 267, 15626, 544, 1329, 267, 543, 519, 1867, 799, 729, 538, 2489, 10009, 1369, 2947, 3764, 1310, 1010, 13675, 267, 540, 1010, 2348, 4557, 8536, 513, 1032, 9957, 8058, 532, 519, 2956, 540, 2724, 547, 1004, 538, 713, 2486, 4929, 1004, 547, 26777, 1010, 7209, 12889, 971, 607, 1010, 11348, 269, 11023, 1097, 6487, 10906, 568, 13998, 9944, 1864, 607, 1282, 1010, 11556, 646, 3081, 267, 2048, 1103, 642, 664, 723, 594, 17388, 269, 898, 786, 711, 798, 9957, 11023, 1097, 12034, 5128, 607, 21334, 532, 1010, 2648, 585, 10906, 2705, 267, 1010, 11348, 1869, 3788, 543, 4061, 1352, 1318, 569, 7947, 338, 713, 2709, 269, 634, 5467, 543, 10906, 616, 849, 6537, 547, 519, 5763, 540, 11023, 1097, 269, 2701, 3081, 1200, 2648, 3459, 2048, 5228, 1250, 1101, 7487, 1010, 4190, 12406, 693, 623, 1897, 2917, 9957, 1879, 1352, 1101, 14059, 623, 1897, 2917, 2048, 615, 14326, 941, 538, 1164, 1166, 13616, 685, 1547, 901, 2982, 519, 1582, 29027, 540, 10906, 950, 1352, 568, 21947, 676, 519, 4641, 540, 623, 1897, 2917, 267, 543, 19595, 1200, 540, 1018, 1352, 5828, 1524, 950, 1352, 15653, 11023, 1097, 779, 11556, 269, 10906, 18389, 619, 1472, 623, 1897, 2917, 543, 8098, 2231, 922, 25894, 281, 2048, 763, 11623, 941, 3138, 11998, 543, 3946, 727, 267, 543, 741, 11647, 5078, 547, 519, 19539, 540, 922, 32388, 528, 282, 855, 10906, 4718, 267, 609, 25621, 540, 1010, 6492, 267, 602, 621, 729, 9444, 575, 7596, 344, 6862, 946, 8393, 5386, 282, 609, 1447, 540, 26672, 712, 267, 543, 811, 1483, 25894, 267, 982, 519, 11647, 540, 14472, 902, 9957, 634, 946, 540, 519, 2262, 2048, 327, 1343, 727, 685, 4016, 1394, 547, 741, 1101, 7237, 538, 519, 1433, 950, 10906, 729, 711, 2048, 327, 1343, 727, 685, 2614, 547, 7544, 609, 563, 763, 3017, 568, 602, 634, 4279, 30056, 568, 4401, 545, 267, 543, 24813, 607, 1018, 519, 5467, 14659, 827, 519, 1433, 786, 581, 5462, 676, 2436, 519, 5467, 14659, 20289, 30056, 568, 5963, 607, 1390, 607, 19162, 3081, 646, 568, 610, 1281, 30056, 3527, 29387, 19162, 779, 32538, 269, 19162, 7959, 30056, 779, 2669, 1185, 3483, 799, 538, 1010, 4064, 1500, 30056, 24123, 269, 634, 13249, 936, 2023, 525, 540, 30056, 6565, 689, 1010, 6024, 7287, 585, 519, 796, 520, 1555, 762, 267, 799, 568, 30751, 269, 10801, 519, 30810, 540, 519, 3209, 19162, 5784, 30056, 538, 1164, 14621, 543, 568, 711, 15658, 1042, 676, 1010, 22672, 1652, 3664, 269, 32684, 568, 23187, 547, 721, 519, 5048, 519, 2724, 729, 8572, 547, 6445, 519, 20704, 540, 21379, 1952, 1465, 538, 30056, 779, 1272, 563, 7468, 728, 543, 2776, 9080, 823, 568, 17033, 6126, 267, 609, 1100, 8969, 602, 11023, 1097, 568, 513, 5869, 543, 20700, 9626, 7494, 4824, 269, 11023, 1097, 267, 896, 10906, 779, 3310, 267, 12374, 538, 2067, 1145, 543, 16137, 547, 2463, 519, 17916, 15683, 540, 519, 1367, 269, 10906, 11414, 11023, 1097, 676, 6029, 1200, 2186, 7209, 998, 1200, 2656, 18854, 1540, 267, 11913, 10752, 543, 11023, 1097, 779, 18515, 547, 1689, 2982, 646, 568, 519, 11509, 5869, 543, 17709, 540, 1200, 563, 22818, 519, 3017, 2501, 1524, 547, 513, 18515, 547, 1689, 269, 10906, 27372, 267, 19162, 1281, 711, 269, 19162, 3081, 281, 2048, 2691, 594, 3357, 1394, 689, 519, 5101, 2063, 15489, 594, 5433, 602, 594, 4941, 519, 1158, 547, 581, 538, 7833, 543, 693, 513, 4990, 540, 5837, 3007, 11014, 9957, 901, 18304, 909, 1010, 1102, 2716, 2225, 563, 1862, 263, 323, 5877, 519, 1964, 540, 519, 1557, 1657, 264, 0, 293, 13926, 536, 990, 710, 16796, 630, 293, 7034, 264, 729, 1336, 547, 581, 13572, 609, 4417, 25875, 8290, 269, 910, 5682, 8469, 14813, 334, 12834, 454, 32325, 547, 2824, 5078, 19341, 536, 990, 710, 16796, 585, 946, 538, 2298, 1852, 29508, 585, 519, 7020, 540, 4417, 25875, 8290, 689, 6211, 2472, 563, 289, 8344, 338, 269, 476, 1001, 272, 7325, 6902, 4375, 263, 275, 2567, 26237, 268, 279, 269, 9210, 889, 476, 1001, 272, 9947, 476, 1789, 269, 20163, 281, 476, 24241, 4350, 6187, 454, 13233, 27259, 2667, 599, 12524, 267, 12080, 540, 11982, 267, 32645, 543, 30656, 267, 918, 758, 889, 684, 10202, 267, 19519, 267, 3567, 269, 4757, 11333, 2593, 454, 303, 3174, 540, 6211, 2472, 267, 2523, 10074, 267, 2356, 3340, 2326, 6508, 689, 2831, 267, 543, 972, 616, 2141, 4220, 602, 3662, 13596, 6508, 689, 891, 2326, 1223, 8764, 622, 519, 3803, 2472, 269, 24544, 540, 4417, 25875, 8069, 568, 5340, 676, 2298, 1852, 4255, 269, 769, 891, 6211, 29508, 267, 3662, 6508, 2326, 616, 849, 1031, 543, 1776, 1966, 14340, 267, 607, 19341, 536, 990, 710, 16796, 630, 293, 7034, 264, 568, 1031, 607, 606, 12146, 538, 5160, 2528, 2923, 269, 674, 7034, 13572, 609, 536, 990, 710, 10194, 13165, 3644, 630, 289, 13748, 309, 264, 610, 824, 536, 990, 710, 13596, 267, 607, 1134, 607, 12489, 1996, 891, 13596, 949, 1291, 547, 7301, 2164, 538, 2298, 1852, 29508, 269, 769, 713, 1353, 267, 538, 1931, 547, 3313, 519, 4890, 4567, 540, 5010, 674, 7034, 267, 649, 5340, 2298, 4255, 593, 1585, 674, 7034, 5439, 269, 1306, 513, 1267, 267, 538, 476, 2764, 540, 476, 5392, 674, 7034, 5439, 630, 6872, 269, 272, 15992, 11641, 643, 6400, 6090, 941, 9571, 676, 3443, 1790, 652, 643, 6400, 9258, 16606, 1790, 8432, 1067, 848, 5832, 5114, 22368, 269, 5015, 267, 1079, 5439, 8659, 11763, 645, 13748, 309, 269, 3026, 23018, 1944, 12489, 1996, 645, 13748, 26394, 941, 9571, 538, 476, 4366, 540, 476, 5392, 5439, 630, 9032, 269, 277, 8472, 676, 519, 3644, 9243, 1436, 1449, 1759, 593, 519, 16796, 1673, 559, 1081, 610, 3644, 1673, 559, 1081, 2409, 269, 25095, 3672, 1996, 824, 536, 990, 710, 13596, 941, 9571, 10355, 538, 891, 5439, 269, 3245, 938, 2164, 267, 649, 4363, 2409, 547, 2824, 674, 7034, 602, 616, 5059, 593, 7020, 540, 645, 13748, 309, 543, 9243, 1944, 12489, 1996, 645, 13748, 309, 269, 0, 15307, 629, 7667, 2436, 610, 711, 513, 2249, 568, 17255, 568, 513, 16602, 3364, 547, 6961, 269, 1879, 7231, 609, 19251, 2378, 320, 10044, 609, 513, 5266, 3908, 2039, 621, 779, 711, 865, 3983, 267, 855, 5329, 29601, 593, 513, 1507, 1166, 6260, 6177, 1851, 513, 3638, 5117, 540, 1166, 6260, 5017, 568, 513, 2370, 8945, 1512, 269, 2334, 1767, 267, 2257, 729, 5266, 1978, 602, 519, 4563, 1532, 27547, 9040, 321, 2401, 630, 22416, 659, 665, 514, 743, 320, 1086, 30679, 650, 1092, 264, 729, 16876, 547, 519, 1686, 2835, 267, 799, 568, 1946, 6177, 619, 941, 27762, 2476, 547, 5063, 3605, 513, 2713, 19494, 267, 476, 15094, 1296, 1310, 621, 729, 1101, 2938, 269, 634, 4466, 729, 3370, 538, 519, 4760, 16819, 532, 3008, 8656, 563, 1103, 14465, 329, 1301, 553, 514, 267, 12868, 267, 17124, 5080, 27053, 543, 17124, 681, 714, 5652, 674, 879, 345, 534, 4362, 1018, 779, 1373, 688, 6150, 607, 519, 968, 24030, 652, 679, 7950, 538, 24414, 15022, 603, 1108, 1848, 5637, 2199, 7264, 538, 12868, 779, 3162, 17833, 574, 656, 534, 19435, 267, 789, 941, 11018, 2030, 2326, 950, 789, 19481, 513, 6177, 789, 4769, 1406, 5431, 269, 30985, 607, 547, 1018, 621, 729, 267, 789, 9575, 621, 267, 3576, 930, 11147, 267, 543, 1287, 1577, 621, 979, 563, 763, 6292, 6603, 856, 547, 2199, 15022, 603, 1108, 4966, 645, 310, 717, 1446, 9850, 543, 16819, 17569, 518, 543, 621, 729, 693, 713, 1448, 602, 519, 11104, 640, 540, 741, 6602, 2968, 7805, 269, 20226, 31570, 609, 519, 6292, 543, 593, 519, 8666, 267, 543, 621, 729, 9672, 547, 8197, 581, 519, 1279, 2173, 1170, 532, 4563, 1532, 27547, 9040, 321, 2401, 6177, 563, 17606, 7959, 30642, 547, 917, 602, 649, 723, 1336, 513, 2249, 540, 6177, 16912, 539, 676, 4966, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4693, 3666, 267, 621, 2337, 547, 1832, 3950, 540, 2883, 27753, 267, 3056, 547, 4977, 2883, 6898, 563, 291, 19302, 28678, 19098, 10597, 11413, 538, 1870, 4238, 676, 10916, 782, 2883, 2238, 538, 1079, 6589, 269, 634, 11834, 5638, 948, 547, 3715, 513, 3280, 20894, 13009, 602, 18327, 5363, 538, 12570, 4835, 8060, 269, 898, 5849, 602, 1142, 2460, 540, 519, 1870, 568, 20039, 585, 1247, 3246, 9355, 593, 1141, 519, 2754, 6763, 20019, 693, 1022, 2016, 942, 563, 11101, 267, 676, 1620, 875, 17677, 28678, 19098, 1568, 267, 621, 3587, 4443, 547, 3950, 6666, 2095, 3466, 936, 1808, 5712, 8308, 269, 898, 6087, 4213, 547, 2697, 3466, 538, 741, 7836, 6208, 543, 12189, 971, 3270, 811, 7561, 563, 288, 1353, 5342, 676, 634, 2160, 540, 7147, 1336, 856, 602, 3549, 12561, 519, 17677, 28678, 19098, 1062, 6592, 606, 2333, 538, 8907, 2157, 909, 547, 476, 1691, 18336, 257, 291, 19302, 7127, 8051, 281, 1317, 4466, 6959, 543, 12611, 538, 707, 18083, 568, 899, 10478, 585, 513, 13549, 538, 513, 18720, 23637, 267, 8259, 596, 723, 513, 11275, 4799, 291, 19302, 28678, 19098, 11226, 538, 26500, 538, 3147, 340, 20874, 543, 31081, 652, 2853, 269, 898, 2337, 609, 12611, 7020, 676, 8506, 1022, 11834, 547, 723, 1079, 13366, 281, 513, 32259, 543, 5491, 267, 799, 616, 6592, 14384, 855, 20083, 269, 901, 1505, 540, 8051, 3322, 3444, 19295, 9535, 1169, 7127, 547, 2327, 602, 519, 6589, 3666, 269, 1403, 972, 568, 1022, 15739, 32735, 1063, 519, 18304, 540, 3181, 1080, 543, 17099, 267, 7114, 519, 6959, 610, 30081, 8852, 1831, 4443, 563, 1103, 1840, 547, 922, 2640, 585, 16326, 6959, 543, 12611, 338, 538, 2272, 3599, 267, 621, 781, 2629, 547, 1174, 602, 17677, 28678, 3590, 3813, 999, 10220, 971, 607, 3454, 7041, 4808, 1808, 547, 1507, 4213, 563, 3080, 4052, 19583, 602, 814, 26857, 2318, 2164, 950, 1210, 713, 8051, 1062, 568, 5781, 17265, 519, 13366, 1500, 1282, 2565, 2883, 2053, 585, 1697, 8760, 540, 8852, 269, 901, 2337, 7413, 1455, 9073, 899, 20171, 9838, 15271, 7466, 1247, 3850, 6959, 6954, 8989, 609, 5021, 6111, 269, 15788, 267, 8508, 17677, 28678, 19098, 781, 2407, 1761, 711, 1152, 29776, 1239, 6482, 855, 849, 4679, 6015, 538, 707, 2754, 781, 3375, 6194, 1184, 563, 291, 19302, 7127, 8051, 281, 10435, 1870, 3664, 1447, 19408, 982, 4730, 6739, 13193, 30592, 609, 513, 16041, 7784, 563, 16352, 4977, 2883, 5638, 998, 5595, 7127, 8051, 2337, 3375, 6194, 538, 4213, 269, 1452, 5638, 1683, 3730, 4030, 585, 5483, 3375, 6194, 543, 666, 948, 3713, 12611, 267, 6959, 267, 543, 13546, 1553, 13853, 538, 519, 2883, 4238, 540, 606, 3919, 563, 4415, 5595, 7127, 8051, 267, 1142, 11834, 568, 6592, 538, 1079, 6589, 267, 799, 2488, 811, 2143, 1344, 827, 875, 2724, 568, 13576, 883, 543, 856, 540, 519, 1870, 269, 901, 1239, 2337, 5411, 543, 9946, 2697, 2127, 1141, 789, 666, 2569, 3790, 610, 2333, 8907, 269, 1358, 666, 849, 3950, 2883, 3466, 543, 1118, 1732, 26455, 3664, 593, 9541, 610, 7269, 4566, 563, 11101, 267, 4977, 2883, 5638, 616, 2556, 547, 5150, 12029, 610, 9541, 689, 8492, 610, 4357, 32225, 269, 1635, 2348, 513, 2312, 2070, 540, 519, 1870, 781, 2883, 2990, 267, 32225, 786, 581, 811, 8348, 547, 8804, 707, 1788, 607, 972, 568, 1447, 1981, 3238, 563, 291, 19302, 7127, 8051, 281, 5221, 596, 1810, 1405, 1616, 547, 581, 9575, 609, 707, 2883, 27890, 1524, 563, 291, 19302, 7127, 8051, 568, 1031, 538, 4213, 269, 898, 6212, 593, 10916, 8852, 267, 13326, 6589, 543, 6721, 2883, 6898, 269, 901, 2337, 1832, 3950, 540, 1870, 2238, 269, 21344, 519, 6589, 2337, 1832, 519, 24432, 4977, 269, 7053, 267, 6721, 2883, 6898, 3947, 513, 25135, 14653, 540, 519, 3919, 781, 2883, 3510, 563, 9336, 1870, 814, 547, 2594, 741, 8852, 538, 513, 9836, 6073, 267, 865, 602, 789, 666, 1832, 3950, 540, 741, 2883, 2238, 269, 901, 1184, 568, 1572, 12319, 540, 5010, 15377, 563, 19350, 568, 513, 476, 277, 9912, 3391, 593, 875, 547, 3561, 891, 8852, 7561, 912, 2005, 781, 4502, 15663, 602, 25643, 891, 8852, 8308, 568, 2629, 267, 607, 621, 5540, 1082, 3344, 540, 513, 1870, 971, 607, 9204, 543, 32116, 563, 8855, 891, 1160, 9669, 912, 31010, 10055, 4982, 10329, 454, 291, 19302, 7127, 8051, 568, 513, 1505, 540, 8051, 602, 5849, 2272, 3666, 267, 543, 713, 1184, 568, 519, 5748, 538, 5329, 2883, 5638, 4977, 269, 898, 568, 606, 2500, 1259, 547, 2594, 1433, 15209, 8852, 543, 2883, 6898, 676, 7311, 1079, 3160, 543, 6587, 13366, 593, 1312, 5011, 540, 6589, 269, 769, 2110, 267, 621, 2337, 538, 13326, 6589, 563, 21413, 21344, 267, 1703, 1772, 3143, 19098, 16680, 454, 4407, 10916, 8852, 1210, 5595, 268, 18782, 8051, 267, 1169, 32259, 7127, 1590, 723, 513, 2147, 5491, 7127, 547, 1832, 2272, 21356, 5812, 269, 1635, 9319, 6959, 543, 4509, 11466, 1063, 3181, 1080, 543, 17099, 267, 713, 1062, 5849, 6111, 538, 519, 3803, 1267, 269, 24367, 2272, 11466, 18788, 1022, 25314, 520, 2583, 602, 1223, 1291, 547, 25619, 2883, 6898, 610, 11234, 3454, 2083, 902, 563, 296, 10811, 716, 3883, 15209, 4024, 3502, 6435, 1411, 21561, 2659, 30825, 454, 6097, 547, 1280, 15816, 630, 1001, 280, 1070, 4057, 1433, 15209, 666, 1942, 4213, 606, 3328, 540, 1269, 2568, 267, 1822, 513, 1032, 269, 901, 4523, 950, 1870, 5411, 798, 711, 2226, 1697, 5638, 610, 9337, 741, 6589, 5781, 267, 799, 5012, 547, 7508, 856, 593, 1271, 17429, 2388, 610, 936, 335, 11691, 1282, 3454, 4005, 269, 2060, 5595, 268, 18782, 8051, 267, 4180, 7059, 6589, 10607, 3375, 1818, 676, 3246, 12905, 543, 4977, 1344, 827, 519, 1699, 2883, 1533, 540, 513, 1870, 563, 15542, 281, 4340, 547, 7767, 31638, 630, 1708, 272, 1070, 5595, 268, 18782, 8051, 729, 1101, 13006, 538, 7977, 1282, 519, 476, 1724, 628, 2540, 676, 8071, 4593, 534, 2003, 541, 12359, 320, 623, 659, 2723, 328, 563, 26296, 6898, 281, 1141, 519, 2338, 1205, 21039, 909, 547, 23666, 1761, 9520, 267, 899, 513, 1350, 600, 5387, 1118, 1478, 585, 707, 4871, 3666, 563, 26296, 6898, 616, 2813, 998, 513, 3102, 8051, 1184, 269, 901, 3322, 7421, 606, 3919, 781, 2883, 8852, 543, 8308, 8204, 519, 2164, 538, 513, 1305, 540, 5359, 269, 1452, 5359, 616, 3812, 5781, 547, 1683, 5363, 4030, 883, 519, 2883, 1072, 540, 513, 1870, 563, 763, 5137, 540, 891, 2883, 6898, 568, 606, 1898, 851, 540, 8051, 5773, 602, 6087, 4213, 547, 2226, 11413, 543, 12477, 547, 23265, 267, 2912, 6002, 267, 543, 22124, 563, 2304, 1271, 2460, 540, 6721, 2883, 6898, 568, 5595, 7127, 8051, 269, 901, 1505, 5849, 602, 782, 8852, 616, 6592, 538, 1079, 5094, 6589, 268, 835, 2272, 585, 3181, 1746, 543, 1776, 585, 3841, 1746, 269, 3414, 713, 267, 6111, 543, 11007, 616, 24458, 538, 1169, 11834, 10916, 269, 1635, 4509, 713, 1062, 267, 2043, 666, 3362, 3132, 4977, 2883, 1344, 609, 2370, 4055, 585, 5470, 563, 2005, 1058, 581, 7074, 602, 972, 616, 1896, 3334, 3238, 538, 6721, 2883, 6898, 267, 1519, 3666, 9212, 267, 4747, 6898, 267, 543, 6666, 2095, 6898, 1851, 1866, 269, 3962, 3948, 4249, 513, 2629, 1909, 538, 7206, 606, 4977, 4605, 540, 606, 3919, 781, 18083, 563, 6097, 547, 7767, 31638, 267, 834, 21129, 2574, 6898, 4196, 606, 1271, 1909, 538, 19788, 9520, 543, 32225, 676, 3246, 5813, 883, 2754, 2773, 1701, 1924, 621, 781, 16122, 602, 789, 2811, 5342, 5265, 543, 10502, 547, 7413, 1022, 1761, 3656, 610, 9431, 4220, 2404, 609, 11234, 610, 18106, 1239, 563, 291, 19302, 7127, 568, 606, 8051, 1505, 538, 799, 1169, 2883, 11834, 814, 3160, 543, 6587, 2360, 593, 1079, 610, 811, 6589, 563, 291, 19302, 7127, 3340, 602, 1169, 11834, 581, 6592, 7466, 281, 2899, 607, 513, 32259, 538, 835, 2272, 543, 2899, 607, 513, 5491, 538, 1776, 2272, 269, 901, 5849, 602, 519, 2698, 3181, 1080, 2141, 3160, 519, 2698, 17099, 538, 519, 8051, 1062, 563, 291, 19302, 7127, 568, 1271, 538, 8051, 1317, 621, 2488, 513, 1062, 540, 11974, 543, 21356, 602, 2337, 2327, 519, 6111, 543, 1264, 28467, 540, 2883, 5638, 269, 898, 849, 5932, 513, 2312, 20894, 13009, 602, 666, 581, 1031, 547, 2697, 6959, 543, 12611, 563, 763, 2640, 540, 1210, 5595, 7127, 538, 8051, 1331, 1732, 6111, 267, 4389, 6959, 543, 12611, 267, 2312, 20894, 18162, 267, 543, 519, 2702, 547, 5352, 3730, 2883, 5359, 563, 14300, 540, 5595, 7127, 8051, 1331, 10916, 513, 9042, 607, 513, 5491, 547, 8907, 543, 513, 32259, 547, 6589, 2256, 22133, 267, 10916, 513, 6718, 607, 513, 32259, 547, 11891, 543, 513, 5491, 547, 6589, 2628, 762, 267, 543, 10916, 513, 8569, 540, 13848, 607, 513, 32259, 547, 13848, 13258, 543, 513, 5491, 547, 6666, 563, 8133, 267, 5595, 7127, 666, 581, 1031, 538, 2123, 18083, 547, 948, 3950, 4747, 543, 9276, 811, 8308, 269, 1635, 1210, 5595, 7127, 267, 2043, 666, 2327, 602, 741, 2883, 5638, 616, 2347, 543, 4977, 267, 799, 666, 948, 609, 22343, 543, 9494, 269, 0, 763, 2552, 2784, 1112, 800, 7186, 540, 22640, 454, 4692, 6598, 12677, 19829, 543, 5856, 18039, 8834, 538, 1010, 1433, 634, 8834, 20232, 32625, 281, 834, 20779, 7100, 568, 513, 1184, 676, 799, 1004, 11884, 3442, 513, 1085, 1901, 2998, 520, 1701, 634, 3328, 12504, 538, 513, 9111, 11392, 513, 3586, 5048, 602, 519, 3510, 538, 519, 2197, 568, 3478, 8338, 543, 8338, 267, 5906, 543, 811, 5906, 267, 13249, 543, 811, 13249, 269, 898, 568, 711, 16613, 585, 1864, 547, 991, 606, 20032, 540, 1010, 4160, 538, 513, 3226, 554, 730, 22267, 269, 634, 3328, 12504, 538, 513, 2698, 9107, 1533, 11392, 6786, 602, 519, 2197, 781, 3510, 568, 1360, 1434, 543, 602, 621, 666, 1152, 1205, 1256, 1732, 269, 1717, 267, 519, 1244, 7675, 2604, 540, 9111, 593, 519, 12504, 1590, 581, 9104, 730, 585, 538, 930, 1259, 269, 901, 13180, 568, 3177, 676, 3351, 23540, 269, 7780, 4106, 31791, 568, 1759, 593, 519, 834, 24030, 652, 8788, 6240, 2437, 602, 568, 267, 621, 840, 2851, 519, 13287, 540, 519, 6574, 8788, 543, 519, 7287, 547, 2057, 519, 18473, 269, 634, 2296, 14544, 3627, 26573, 7085, 729, 2565, 540, 519, 25685, 4606, 540, 1010, 8284, 4961, 269, 1261, 5156, 602, 834, 2005, 568, 1732, 547, 581, 513, 27025, 30829, 812, 982, 513, 1272, 1606, 15384, 30829, 6477, 282, 621, 568, 1732, 547, 581, 513, 1272, 1606, 15384, 30829, 24198, 982, 513, 1272, 1606, 15384, 30829, 18174, 269, 1656, 952, 513, 18174, 610, 513, 6477, 814, 513, 1114, 1448, 540, 2070, 267, 621, 568, 1152, 1317, 789, 917, 14311, 741, 1378, 1448, 540, 2070, 1701, 1717, 267, 519, 7287, 585, 519, 4998, 1931, 540, 2486, 9356, 6999, 995, 3206, 563, 1103, 476, 4350, 272, 267, 519, 22341, 12677, 2845, 6509, 543, 22301, 918, 4669, 717, 7238, 23437, 9863, 1079, 5376, 916, 827, 538, 1260, 921, 28467, 543, 24081, 1890, 538, 6128, 269, 901, 729, 513, 3020, 4838, 538, 6128, 269, 6969, 717, 7238, 23437, 267, 22697, 5156, 602, 741, 2257, 729, 2347, 267, 5812, 267, 543, 602, 922, 5376, 916, 1223, 581, 17429, 1027, 25401, 796, 3711, 580, 28204, 689, 24936, 1682, 269, 6333, 519, 1383, 540, 21482, 573, 781, 9511, 267, 799, 568, 1759, 593, 24936, 1682, 689, 799, 5376, 916, 1246, 269, 769, 621, 267, 621, 666, 581, 9863, 602, 519, 3948, 834, 1492, 2040, 540, 519, 7285, 540, 513, 6906, 568, 476, 5197, 5232, 257, 568, 3020, 543, 519, 3948, 834, 1492, 2040, 540, 519, 7285, 540, 513, 6906, 568, 476, 1911, 5232, 257, 568, 7301, 269, 901, 568, 875, 782, 6128, 729, 2944, 1354, 717, 7238, 23437, 269, 898, 729, 2808, 547, 581, 25401, 11826, 267, 513, 3501, 24936, 11703, 2257, 269, 717, 7238, 23437, 9863, 602, 952, 6101, 12980, 568, 1875, 9762, 2784, 1112, 800, 267, 1287, 621, 568, 7543, 547, 17589, 513, 4542, 7682, 532, 519, 1875, 9762, 2784, 1112, 800, 2470, 540, 12980, 543, 602, 519, 1875, 9762, 2784, 1112, 800, 2470, 540, 1022, 24936, 11703, 3069, 3112, 581, 9863, 676, 1797, 540, 713, 3069, 3294, 269, 1403, 971, 513, 11826, 267, 28795, 267, 543, 9583, 9266, 2257, 607, 6128, 568, 18106, 543, 30137, 267, 666, 9111, 581, 513, 2347, 543, 5812, 1062, 888, 1607, 2243, 729, 12943, 538, 519, 2942, 676, 519, 1482, 918, 4669, 717, 7238, 23437, 693, 519, 942, 646, 5833, 772, 2529, 269, 15114, 269, 769, 476, 3707, 279, 267, 646, 7902, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 824, 6305, 2188, 476, 274, 543, 476, 276, 269, 0, 258, 1403, 589, 815, 476, 272, 645, 815, 476, 273, 595, 815, 476, 274, 3267, 3267, 2098, 815, 476, 2918, 269, 9122, 593, 1657, 4341, 267, 596, 991, 547, 1265, 606, 22221, 4484, 2262, 4171, 9982, 780, 28143, 5784, 692, 2252, 454, 288, 815, 476, 272, 454, 289, 815, 476, 273, 454, 290, 815, 476, 274, 454, 2483, 2483, 313, 815, 476, 2918, 780, 17780, 593, 1657, 4341, 267, 596, 991, 547, 1265, 606, 22221, 4484, 2262, 4171, 4484, 2040, 568, 3160, 547, 476, 7367, 780, 14006, 539, 9947, 476, 2641, 267, 476, 1001, 278, 692, 9172, 568, 692, 320, 284, 272, 3248, 321, 284, 273, 454, 322, 284, 274, 454, 323, 284, 275, 454, 337, 284, 1240, 454, 272, 266, 273, 266, 1240, 266, 272, 266, 274, 266, 272, 266, 275, 266, 272, 266, 273, 266, 1240, 266, 272, 284, 7367, 0, 258, 476, 8687, 280, 595, 273, 311, 19926, 280, 10422, 15462, 4530, 692, 7617, 5751, 1058, 649, 1865, 593, 519, 4604, 888, 272, 1315, 476, 1321, 454, 20228, 728, 476, 272, 281, 9650, 4786, 454, 310, 7416, 1495, 324, 300, 1342, 601, 321, 732, 1153, 6409, 334, 8867, 518, 10937, 541, 476, 273, 692, 1607, 3992, 3568, 476, 1321, 15942, 267, 609, 7317, 7688, 543, 1257, 15942, 780, 8893, 8653, 568, 281, 476, 2004, 1295, 692, 1012, 27294, 538, 713, 3992, 692, 7617, 5751, 1058, 649, 1865, 593, 519, 4604, 2496, 2971, 22391, 476, 272, 910, 21790, 4786, 692, 24169, 5276, 4834, 454, 24169, 7673, 1109, 586, 1341, 476, 15389, 815, 476, 274, 263, 277, 344, 268, 13647, 264, 910, 476, 274, 344, 692, 2971, 22391, 476, 273, 910, 20228, 728, 692, 24169, 5276, 4834, 454, 24169, 7673, 1109, 586, 1341, 476, 15389, 815, 476, 274, 263, 277, 344, 268, 13647, 264, 910, 476, 274, 344, 692, 344, 1341, 476, 15389, 815, 476, 1428, 344, 910, 476, 26552, 454, 15389, 815, 476, 1691, 344, 910, 476, 26552, 454, 5325, 277, 815, 476, 1691, 344, 454, 4097, 815, 586, 454, 344, 815, 476, 4097, 692, 2971, 22391, 476, 274, 910, 20228, 728, 692, 24280, 1448, 540, 10167, 454, 24280, 519, 10974, 540, 519, 1448, 540, 10167, 1063, 454, 344, 815, 476, 279, 343, 1341, 476, 276, 543, 586, 815, 476, 1556, 910, 476, 273, 343, 692, 2971, 22391, 476, 275, 910, 20228, 728, 692, 24280, 1448, 540, 10167, 454, 24280, 519, 10974, 540, 519, 1448, 540, 10167, 1063, 454, 344, 815, 476, 279, 343, 1341, 476, 276, 543, 586, 815, 476, 1556, 910, 476, 273, 343, 692, 279, 343, 1341, 476, 276, 815, 476, 1556, 910, 476, 273, 343, 454, 1015, 343, 1341, 476, 276, 815, 476, 1556, 454, 1015, 343, 815, 476, 277, 454, 343, 815, 476, 271, 269, 277, 18987, 3396, 8672, 540, 10167, 568, 630, 271, 269, 277, 267, 476, 280, 269, 279, 994, 344, 284, 3199, 269, 277, 266, 276, 284, 280, 269, 279, 454, 344, 284, 12208, 271, 269, 277, 284, 280, 269, 279, 692, 2971, 22391, 476, 276, 910, 20228, 728, 692, 24169, 16526, 454, 24169, 476, 276, 343, 910, 476, 277, 3436, 476, 1015, 910, 476, 274, 343, 692, 2971, 22391, 476, 277, 910, 20228, 728, 692, 24169, 16526, 454, 24169, 476, 276, 343, 910, 476, 277, 3436, 476, 1015, 910, 476, 274, 343, 692, 276, 343, 910, 476, 277, 815, 476, 1015, 910, 476, 274, 343, 454, 279, 343, 910, 476, 277, 815, 476, 1015, 454, 279, 343, 815, 476, 1626, 454, 343, 815, 476, 273, 454, 11405, 281, 1535, 3436, 476, 273, 692, 2971, 22391, 476, 278, 910, 20228, 728, 692, 305, 792, 9792, 12596, 454, 2750, 12304, 554, 538, 2474, 540, 512, 543, 2328, 607, 2110, 607, 2009, 912, 273, 22607, 910, 476, 276, 264, 815, 512, 1341, 476, 276, 692, 2971, 22391, 476, 279, 910, 20228, 728, 692, 305, 792, 9792, 12596, 454, 2750, 12304, 554, 538, 2474, 540, 512, 543, 2328, 607, 2110, 607, 2009, 912, 273, 22607, 910, 476, 276, 264, 815, 512, 1341, 476, 276, 454, 273, 327, 910, 476, 1015, 815, 512, 1341, 476, 276, 454, 273, 327, 815, 512, 1341, 476, 1428, 454, 327, 815, 476, 271, 269, 276, 339, 1341, 476, 278, 269, 276, 692, 2971, 22391, 476, 280, 910, 20228, 728, 692, 27802, 3482, 12596, 454, 27802, 3482, 543, 14458, 912, 288, 281, 513, 1109, 815, 476, 278, 910, 476, 276, 339, 24748, 645, 281, 512, 815, 910, 273, 327, 1341, 476, 274, 692, 2971, 22391, 476, 1015, 910, 20228, 728, 692, 27802, 3482, 12596, 454, 27802, 3482, 543, 14458, 912, 288, 281, 513, 1109, 815, 476, 278, 910, 476, 276, 339, 24748, 645, 281, 512, 815, 910, 273, 327, 1341, 476, 274, 454, 320, 815, 476, 278, 910, 476, 276, 8987, 273, 327, 1341, 476, 274, 994, 320, 815, 476, 278, 1341, 476, 1015, 327, 910, 476, 1428, 454, 320, 815, 476, 1015, 327, 910, 476, 279, 3396, 1109, 630, 528, 513, 815, 910, 279, 1341, 476, 1015, 327, 2020, 2971, 22391, 476, 1556, 910, 20228, 728, 692, 295, 310, 13638, 692, 13014, 543, 2953, 6657, 4530, 8863, 280, 0, 258, 476, 11260, 269, 277, 10007, 538, 10007, 543, 6550, 692, 1012, 28088, 692, 11260, 269, 277, 10007, 11224, 476, 11260, 10007, 543, 476, 279, 269, 275, 6550, 692, 2791, 666, 849, 6460, 476, 11260, 269, 277, 10007, 547, 6550, 780, 1012, 1215, 547, 6460, 476, 11260, 269, 277, 10007, 547, 10007, 543, 6550, 2496, 1103, 1931, 547, 6460, 476, 11260, 269, 277, 10007, 547, 10007, 543, 6550, 649, 666, 1491, 519, 8918, 851, 540, 476, 11260, 269, 277, 10007, 543, 6460, 621, 883, 6550, 269, 769, 713, 2013, 649, 991, 547, 6460, 476, 271, 269, 277, 10007, 547, 6550, 780, 2171, 917, 602, 476, 272, 10007, 11224, 476, 1691, 6550, 267, 4061, 547, 6460, 476, 271, 269, 277, 10007, 547, 6550, 649, 3274, 9062, 476, 271, 269, 277, 10007, 676, 476, 1691, 6550, 1384, 271, 269, 277, 10007, 6398, 476, 1691, 6550, 815, 476, 279, 269, 275, 6550, 692, 7661, 267, 649, 666, 2161, 602, 476, 11260, 269, 277, 10007, 538, 10007, 543, 6550, 568, 6697, 547, 476, 11260, 10007, 543, 476, 279, 269, 275, 6550, 1384, 11260, 269, 277, 10007, 815, 476, 11260, 10007, 543, 476, 279, 269, 275, 6550, 692, 3080, 4627, 29235, 19317, 1448, 3670, 10007, 568, 3160, 547, 835, 4627, 29235, 19317, 10007, 543, 5216, 1448, 2185, 6550, 780, 1012, 23586, 3349, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 10007, 543, 10007, 547, 6550, 7503, 3349, 1384, 18429, 263, 560, 264, 10007, 263, 560, 264, 6550, 10857, 321, 994, 12293, 269, 277, 10007, 476, 12293, 10007, 476, 279, 269, 275, 6550, 454, 10082, 269, 277, 10007, 476, 10082, 10007, 476, 279, 269, 275, 6550, 454, 9965, 269, 277, 10007, 476, 9965, 10007, 476, 279, 269, 275, 6550, 454, 9692, 269, 277, 10007, 476, 9692, 10007, 476, 279, 269, 275, 6550, 454, 5197, 269, 277, 10007, 476, 5197, 10007, 476, 279, 269, 275, 6550, 454, 8687, 269, 277, 10007, 476, 8687, 10007, 476, 279, 269, 275, 6550, 454, 9264, 269, 277, 10007, 476, 9264, 10007, 476, 279, 269, 275, 6550, 454, 8146, 269, 277, 10007, 476, 8146, 10007, 476, 279, 269, 275, 6550, 454, 7277, 269, 277, 10007, 476, 7277, 10007, 476, 279, 269, 275, 6550, 454, 6977, 269, 277, 10007, 476, 6977, 10007, 476, 279, 269, 275, 6550, 692, 1012, 19590, 8847, 692, 763, 4559, 3238, 538, 713, 7503, 616, 10007, 543, 6550, 269, 901, 568, 875, 789, 616, 3989, 1384, 2162, 853, 2158, 692, 763, 6149, 610, 6149, 2597, 630, 629, 12934, 2747, 281, 588, 4700, 568, 606, 2296, 543, 11440, 1770, 540, 2527, 1631, 3160, 547, 476, 1691, 6550, 630, 277, 269, 12573, 27840, 1240, 4846, 1040, 4789, 543, 824, 27272, 18702, 2477, 540, 7187, 2342, 19497, 1031, 1585, 3044, 2213, 834, 18429, 257, 585, 4123, 267, 609, 741, 2418, 8151, 689, 827, 476, 276, 547, 476, 2412, 2199, 6550, 630, 893, 569, 476, 274, 547, 476, 1428, 4846, 264, 4470, 593, 519, 4087, 543, 3615, 26693, 269, 634, 2136, 8003, 781, 11440, 1062, 7550, 519, 15144, 6149, 540, 476, 1691, 6550, 538, 476, 8146, 276, 269, 2060, 519, 4417, 540, 11973, 566, 267, 2342, 781, 1585, 834, 18429, 257, 941, 25436, 17660, 676, 610, 9862, 547, 519, 11304, 689, 519, 4571, 268, 866, 628, 2540, 593, 269, 634, 6149, 5170, 538, 22232, 946, 538, 6628, 543, 8581, 1031, 585, 7893, 1560, 2597, 267, 855, 729, 19275, 585, 5010, 946, 538, 519, 5177, 676, 519, 1284, 2074, 543, 21474, 2920, 540, 476, 2735, 276, 780, 2162, 623, 2432, 692, 763, 11013, 610, 11013, 2173, 817, 568, 513, 1770, 540, 2527, 1031, 538, 519, 11440, 267, 2136, 2276, 22232, 543, 824, 1949, 540, 6482, 269, 589, 1297, 540, 1114, 8847, 723, 1044, 1031, 282, 519, 1034, 1455, 2221, 568, 519, 3486, 1285, 7546, 16632, 12251, 11013, 267, 799, 568, 16155, 3989, 607, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 267, 543, 799, 568, 5258, 883, 476, 1626, 1285, 7546, 16632, 12251, 13728, 269, 634, 3486, 3044, 3090, 585, 519, 1285, 7546, 16632, 12251, 11013, 568, 18470, 282, 606, 4244, 3090, 568, 18470, 332, 630, 1721, 1034, 11013, 8847, 1070, 1948, 630, 2151, 12187, 538, 519, 772, 2529, 13776, 543, 21508, 498, 610, 722, 367, 392, 370, 630, 14588, 32496, 585, 519, 3284, 6139, 322, 2456, 262, 11013, 1040, 634, 1770, 568, 26731, 689, 519, 4936, 5391, 571, 630, 1156, 576, 519, 28008, 834, 331, 321, 20257, 634, 2296, 2262, 11013, 568, 26256, 622, 609, 267, 1851, 1866, 267, 4436, 26172, 1495, 267, 10656, 11432, 267, 543, 16528, 533, 1495, 269, 2353, 6038, 17589, 689, 513, 24228, 883, 1160, 1729, 8566, 9007, 545, 540, 519, 5824, 4082, 561, 13682, 3630, 11432, 16230, 9497, 320, 11013, 676, 2597, 19823, 538, 799, 519, 2262, 11432, 16230, 568, 519, 705, 331, 894, 2013, 540, 519, 5824, 10902, 11432, 639, 9497, 7076, 20257, 26402, 540, 519, 796, 23974, 1881, 2165, 11013, 9356, 519, 3140, 1476, 3175, 540, 2527, 543, 2597, 269, 0, 299, 624, 999, 593, 8212, 814, 1044, 6508, 689, 18148, 18844, 749, 781, 8752, 543, 17460, 3126, 540, 1863, 2606, 9499, 593, 6323, 269, 6423, 519, 21107, 585, 811, 1344, 1862, 780, 258, 12834, 910, 966, 26662, 692, 288, 6152, 568, 513, 7274, 602, 814, 1312, 513, 9588, 630, 26920, 264, 543, 513, 4287, 538, 2230, 267, 607, 10353, 547, 513, 22185, 267, 799, 814, 1100, 4287, 269, 634, 6152, 10035, 5666, 3274, 547, 606, 28008, 585, 1603, 519, 6152, 781, 1614, 3334, 780, 1103, 1079, 7516, 267, 513, 6152, 666, 581, 6719, 2901, 676, 922, 1079, 3334, 610, 676, 922, 9588, 543, 4287, 269, 634, 1079, 2081, 540, 10503, 513, 6152, 666, 581, 1644, 676, 29890, 780, 763, 1079, 1292, 4238, 593, 10321, 616, 1840, 540, 513, 6152, 547, 513, 6152, 267, 543, 8691, 540, 513, 6152, 676, 513, 22185, 780, 309, 10725, 1840, 1797, 4946, 519, 3334, 540, 1079, 10321, 547, 1106, 519, 3334, 540, 513, 1007, 6152, 269, 769, 21370, 2474, 267, 713, 14687, 547, 5373, 519, 10321, 607, 1079, 21985, 9788, 9133, 3562, 2389, 841, 543, 5373, 519, 2040, 6152, 689, 519, 2766, 540, 519, 1101, 6152, 547, 519, 9133, 540, 519, 2034, 835, 269, 21070, 12408, 568, 5340, 676, 2258, 908, 519, 6152, 547, 581, 10208, 539, 543, 1287, 4946, 780, 11372, 28745, 513, 6152, 676, 513, 22185, 1797, 14921, 1142, 540, 922, 3334, 676, 519, 22185, 547, 1711, 513, 1007, 6152, 269, 10406, 676, 513, 22185, 568, 3989, 13974, 780, 8310, 22352, 281, 476, 1220, 280, 268, 6187, 268, 2641, 0, 258, 476, 274, 344, 284, 344, 268, 277, 692, 1012, 11822, 543, 1655, 2259, 3070, 585, 476, 274, 344, 284, 344, 268, 277, 3830, 269, 6744, 875, 2653, 621, 568, 267, 543, 1451, 621, 585, 519, 2104, 269, 3776, 3070, 568, 2241, 267, 543, 2653, 547, 1174, 267, 865, 21645, 19292, 547, 946, 621, 607, 513, 3070, 540, 707, 6780, 780, 2252, 621, 781, 711, 1018, 1411, 616, 3168, 585, 1826, 538, 519, 3830, 24626, 707, 1378, 3830, 543, 1577, 721, 4194, 621, 780, 1012, 8827, 585, 476, 274, 344, 284, 344, 268, 277, 3830, 1384, 8245, 680, 4328, 454, 274, 344, 815, 586, 1341, 910, 277, 454, 3725, 4650, 519, 2474, 912, 274, 344, 815, 910, 277, 1341, 586, 454, 306, 6295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10932, 9351, 281, 1109, 1109, 300, 22389, 4804, 454, 28308, 28708, 531, 8849, 5121, 723, 5340, 26526, 1134, 593, 1082, 8950, 17496, 4247, 269, 1717, 267, 891, 5121, 616, 8185, 882, 5050, 593, 2462, 1239, 547, 2057, 936, 7257, 1154, 269, 3683, 7257, 1154, 4016, 547, 519, 7613, 950, 513, 3060, 16137, 513, 1599, 609, 1360, 1164, 13065, 971, 607, 547, 9985, 2203, 519, 2866, 1239, 269, 10251, 267, 1082, 3498, 11890, 798, 711, 723, 1569, 547, 2462, 1239, 267, 971, 607, 2564, 3239, 2079, 269, 901, 5619, 6212, 593, 4578, 4119, 7695, 267, 513, 1239, 1606, 10628, 3070, 547, 519, 1966, 540, 3908, 1239, 269, 4578, 4119, 7695, 13315, 513, 24194, 540, 2553, 602, 3986, 519, 2450, 543, 2298, 540, 2866, 14449, 971, 602, 1732, 12213, 4804, 3631, 666, 581, 3710, 1210, 873, 269, 634, 3239, 11160, 7695, 6620, 5941, 538, 713, 5619, 1331, 12166, 14759, 267, 2681, 2230, 32433, 725, 267, 17830, 12086, 267, 11544, 2592, 267, 4351, 2144, 2084, 267, 4183, 2230, 11160, 7695, 267, 10779, 25106, 2866, 267, 30462, 10779, 25106, 5121, 267, 8849, 2511, 4483, 267, 543, 13849, 19543, 269, 634, 3498, 540, 11160, 7695, 2409, 1759, 593, 717, 3198, 338, 616, 8185, 4988, 538, 713, 5619, 269, 769, 1840, 547, 11160, 7695, 2553, 267, 713, 1957, 786, 13713, 1865, 824, 4162, 540, 4578, 4119, 7695, 971, 607, 1449, 6066, 11160, 7695, 267, 6571, 1764, 267, 3803, 10471, 2450, 267, 543, 6437, 1565, 269, 901, 5619, 786, 1459, 4540, 2409, 585, 4578, 4119, 7695, 267, 9621, 7835, 267, 543, 13849, 7400, 3664, 585, 7598, 4578, 4119, 7695, 269, 22419, 786, 1174, 875, 4578, 4119, 7695, 666, 2087, 519, 2773, 540, 741, 3631, 543, 4228, 3908, 14449, 547, 1491, 5413, 540, 519, 7207, 540, 2462, 1239, 563, 12041, 4433, 264, 8745, 281, 1109, 1109, 14112, 523, 267, 595, 1421, 10609, 9655, 2998, 1111, 320, 541, 267, 570, 8160, 563, 22711, 2012, 281, 1109, 1109, 22711, 540, 8262, 4578, 454, 21812, 2012, 281, 1109, 1109, 306, 1440, 5424, 454, 24127, 6176, 281, 1741, 476, 277, 267, 9137, 1297, 281, 476, 2568, 454, 26261, 13017, 281, 1741, 4179, 2517, 329, 16067, 1993, 15927, 11907, 4732, 1440, 5424, 13449, 2593, 270, 14895, 270, 1015, 269, 14093, 277, 4882, 28147, 4391, 268, 25171, 268, 25171, 278, 268, 271, 0, 20376, 12053, 1996, 8290, 568, 2629, 585, 4896, 945, 568, 7255, 827, 741, 2780, 269, 1411, 1616, 547, 2327, 602, 621, 568, 711, 10032, 676, 18453, 269, 4165, 643, 6400, 3301, 18767, 19670, 15737, 607, 1134, 607, 3292, 543, 6119, 585, 8290, 267, 543, 18788, 610, 7161, 1022, 3644, 621, 9060, 269, 634, 1034, 2500, 28456, 3301, 666, 581, 1031, 609, 782, 5665, 1949, 267, 543, 3096, 8766, 2200, 547, 2327, 621, 1281, 711, 3500, 1524, 610, 16154, 707, 1062, 269, 634, 5354, 540, 28456, 3301, 2115, 547, 581, 5781, 8242, 547, 1832, 909, 609, 519, 21777, 2048, 30471, 17483, 2467, 616, 513, 3099, 540, 2010, 540, 18453, 602, 28456, 3292, 9718, 1996, 269, 1358, 1331, 17494, 267, 8290, 543, 7708, 329, 753, 630, 6518, 13789, 899, 2922, 3292, 855, 21102, 707, 1344, 610, 4323, 824, 3457, 264, 607, 1134, 607, 22342, 2264, 602, 29167, 1018, 596, 1826, 593, 519, 13691, 547, 7866, 2272, 18538, 543, 18538, 610, 6360, 596, 609, 26240, 5652, 18537, 543, 6835, 269, 3509, 28456, 3292, 6451, 3597, 18145, 7020, 2645, 602, 666, 2697, 17351, 3009, 6456, 1369, 707, 1062, 269, 1261, 22618, 7020, 849, 18767, 585, 3270, 543, 18596, 3270, 538, 519, 1259, 602, 3292, 543, 6119, 13789, 538, 1931, 547, 6952, 519, 18453, 602, 15040, 2861, 1085, 22395, 1522, 4413, 563, 288, 1434, 28456, 1982, 666, 2149, 707, 24195, 543, 7193, 338, 689, 513, 2039, 540, 6937, 543, 1058, 581, 15095, 609, 14342, 267, 11380, 339, 3591, 267, 543, 5985, 3457, 269, 898, 1058, 849, 1285, 770, 1239, 4687, 581, 1769, 543, 2653, 547, 1305, 909, 543, 946, 267, 543, 711, 7048, 593, 513, 1483, 6066, 11571, 267, 799, 1223, 3500, 707, 1062, 269, 634, 1034, 2500, 28456, 3301, 568, 2141, 9687, 547, 3251, 6619, 519, 3014, 269, 589, 1390, 1449, 568, 875, 4749, 621, 10311, 922, 3644, 8847, 267, 543, 596, 1058, 2119, 547, 1205, 2834, 610, 693, 513, 5934, 12353, 10311, 269, 0, 4002, 2904, 476, 2767, 267, 476, 1960, 275, 267, 3162, 4000, 2968, 519, 1101, 2197, 538, 519, 1158, 547, 3180, 513, 11180, 9550, 269, 901, 8978, 2680, 729, 1279, 936, 16746, 267, 543, 621, 729, 1500, 2009, 676, 519, 12483, 1652, 960, 540, 1082, 1004, 31251, 15628, 267, 25696, 267, 543, 20859, 269, 634, 5859, 602, 3366, 909, 547, 713, 26832, 2680, 729, 1950, 543, 2352, 267, 855, 621, 729, 4502, 621, 538, 519, 1439, 269, 4653, 267, 3162, 4000, 568, 513, 14762, 9111, 602, 568, 26405, 547, 3136, 9750, 922, 3914, 269, 6258, 811, 827, 713, 1271, 2680, 538, 1686, 676, 2542, 519, 1739, 2376, 269, 898, 779, 2386, 547, 2285, 596, 513, 1732, 1620, 540, 875, 3162, 4000, 3357, 547, 581, 835, 540, 519, 1034, 11636, 6082, 593, 3047, 563, 1960, 275, 5082, 687, 538, 3162, 4000, 454, 21026, 4000, 4371, 741, 1101, 11180, 9550, 593, 4989, 476, 2767, 628, 267, 543, 621, 729, 513, 19506, 2680, 269, 1280, 519, 1101, 942, 267, 782, 4961, 936, 519, 2085, 540, 476, 1240, 941, 2111, 547, 8917, 267, 799, 568, 513, 5458, 1900, 4464, 585, 519, 2197, 269, 634, 9550, 729, 849, 5342, 1210, 513, 14354, 6041, 1062, 267, 799, 5849, 602, 1169, 5428, 814, 513, 4023, 4960, 540, 10888, 563, 7212, 519, 4888, 290, 630, 28893, 2817, 6837, 264, 4465, 519, 5354, 540, 16295, 538, 14618, 267, 789, 941, 711, 2111, 547, 3035, 606, 30739, 11802, 269, 901, 1797, 602, 972, 786, 581, 16395, 1063, 519, 1585, 6105, 547, 1106, 22687, 6608, 269, 6271, 1271, 1646, 689, 713, 9550, 568, 602, 2021, 1631, 1118, 909, 476, 1789, 260, 540, 14618, 12579, 267, 799, 568, 513, 1713, 7914, 689, 1175, 476, 1015, 260, 1354, 563, 24342, 540, 519, 476, 1960, 275, 5082, 687, 538, 3162, 4000, 454, 763, 5412, 476, 1960, 275, 12836, 538, 3162, 4000, 4718, 519, 1101, 11180, 12836, 538, 519, 2197, 269, 7261, 22567, 10548, 7469, 6242, 729, 11221, 607, 519, 1007, 7022, 267, 1247, 20307, 13495, 11253, 729, 556, 3887, 21124, 607, 519, 6205, 540, 519, 3979, 2817, 6837, 630, 3198, 290, 1040, 634, 4888, 290, 4465, 513, 1804, 5354, 540, 519, 8917, 543, 2968, 519, 8789, 5428, 538, 14618, 563, 8601, 891, 18454, 267, 972, 941, 4145, 827, 875, 2500, 519, 1007, 2229, 1131, 581, 269, 3509, 17037, 5433, 602, 13313, 1185, 1831, 21049, 896, 32044, 267, 543, 602, 621, 1131, 581, 2352, 547, 1689, 713, 1282, 10548, 7469, 6242, 779, 2165, 538, 5604, 269, 1703, 941, 849, 12194, 602, 2804, 8635, 1131, 3136, 547, 1332, 267, 3226, 2016, 602, 3395, 5666, 540, 5763, 941, 1373, 11262, 676, 513, 1507, 12102, 540, 1004, 563, 32701, 267, 2949, 18941, 7902, 547, 581, 2318, 1739, 519, 9550, 269, 10548, 7469, 6242, 5128, 4330, 621, 607, 513, 968, 332, 559, 9693, 892, 2509, 2679, 513, 811, 1175, 2486, 563, 763, 17461, 540, 519, 476, 1960, 275, 3162, 3979, 30760, 454, 763, 9550, 540, 476, 1960, 275, 729, 519, 1101, 11180, 9550, 4371, 538, 3162, 4000, 269, 634, 32044, 1062, 1185, 1044, 538, 1747, 585, 936, 13977, 1296, 267, 543, 519, 5354, 540, 519, 2551, 1185, 1044, 2713, 896, 513, 1106, 540, 17478, 269, 11374, 519, 1439, 540, 32044, 267, 12836, 941, 4371, 547, 3313, 519, 1007, 2229, 269, 20307, 13495, 11253, 729, 11221, 607, 519, 7022, 267, 543, 1585, 824, 5428, 3401, 941, 849, 11221, 547, 1585, 7158, 269, 634, 2197, 4797, 547, 3068, 1082, 2591, 267, 1519, 6710, 543, 13864, 267, 855, 2949, 621, 8604, 602, 3356, 729, 1373, 1500, 563, 763, 11778, 540, 519, 30760, 454, 763, 1101, 11180, 9550, 4371, 538, 3162, 4000, 729, 593, 4989, 476, 2767, 628, 267, 476, 1960, 275, 269, 634, 1267, 540, 519, 9550, 4951, 602, 519, 3979, 2817, 6837, 630, 3198, 290, 264, 1185, 4465, 476, 26297, 856, 540, 519, 476, 6110, 16295, 538, 14618, 269, 634, 769, 330, 24048, 15213, 9549, 630, 9281, 303, 264, 1185, 4465, 476, 1839, 16295, 267, 543, 519, 14891, 19137, 630, 6395, 264, 1185, 4465, 476, 4510, 16295, 563, 3412, 4124, 540, 519, 30760, 454, 4415, 519, 11180, 9550, 540, 20307, 13495, 11253, 607, 7022, 540, 3162, 4000, 593, 13723, 267, 8734, 269, 476, 2190, 267, 519, 2197, 3357, 835, 1900, 6251, 547, 513, 1007, 5736, 540, 552, 6549, 23540, 543, 21047, 269, 634, 9550, 729, 513, 19506, 2680, 538, 519, 2197, 779, 11180, 1686, 267, 543, 621, 814, 6286, 585, 1312, 3162, 4000, 543, 519, 1158, 693, 1804, 563, 300, 663, 11253, 568, 513, 26009, 4137, 538, 519, 3979, 19802, 3350, 267, 543, 1010, 9550, 568, 513, 11802, 585, 9111, 269, 1261, 814, 6131, 1010, 1272, 547, 8165, 585, 1480, 2924, 543, 1514, 5126, 267, 543, 646, 786, 581, 606, 1271, 6205, 538, 3162, 4000, 779, 5912, 547, 9111, 269, 13495, 11253, 849, 814, 2178, 3486, 13218, 281, 646, 6039, 607, 7022, 540, 519, 3979, 2817, 6837, 630, 3198, 290, 264, 689, 476, 1960, 272, 547, 476, 1960, 280, 267, 543, 646, 729, 513, 1883, 6345, 538, 16395, 602, 3366, 547, 519, 1439, 540, 32044, 538, 476, 1960, 275, 563, 300, 663, 11253, 779, 9550, 2982, 602, 3162, 4000, 568, 3001, 4464, 4724, 9111, 269, 1717, 267, 972, 616, 1869, 2591, 6619, 269, 1280, 1383, 267, 13313, 3788, 513, 2101, 1966, 538, 3162, 4000, 267, 543, 13864, 568, 1164, 269, 634, 2229, 1590, 3136, 547, 1118, 3646, 547, 2087, 2804, 2175, 865, 602, 782, 4961, 666, 7119, 4628, 538, 2486, 563, 763, 2518, 2146, 849, 2115, 547, 3136, 5885, 3162, 4000, 607, 621, 13289, 883, 513, 9111, 269, 634, 2136, 2276, 5129, 513, 1271, 1909, 538, 4543, 547, 21907, 519, 1439, 540, 32044, 267, 543, 649, 786, 3136, 547, 1489, 3162, 4000, 779, 3356, 4724, 2804, 13884, 543, 1480, 2924, 5126, 563, 301, 15625, 13495, 11253, 654, 1231, 519, 30760, 454, 4002, 13628, 267, 476, 1240, 2904, 476, 1960, 275, 267, 20307, 13495, 11253, 729, 11221, 519, 1101, 7022, 540, 3162, 4000, 269, 634, 9550, 729, 4371, 1739, 519, 1439, 540, 519, 2197, 779, 476, 2767, 4458, 6040, 32044, 1062, 269, 7201, 32044, 267, 16543, 1185, 6417, 782, 3344, 540, 1272, 538, 3162, 4000, 1247, 17051, 941, 31345, 543, 5806, 3990, 1996, 269, 13495, 11253, 2968, 6205, 540, 519, 3979, 2817, 6837, 630, 3198, 290, 264, 543, 3366, 513, 17740, 656, 5859, 547, 24057, 992, 32044, 269, 769, 476, 1960, 271, 267, 646, 729, 30992, 547, 1272, 538, 7890, 585, 1010, 1909, 538, 519, 6560, 269, 1717, 267, 3486, 2604, 7479, 12184, 519, 2229, 547, 5305, 1864, 1079, 1296, 2663, 269, 13495, 11253, 6039, 607, 7022, 2394, 476, 1960, 280, 543, 1287, 19622, 689, 1857, 1272, 563, 763, 1101, 11180, 9550, 729, 4371, 538, 3162, 4000, 593, 2904, 476, 1556, 267, 476, 1960, 275, 269, 20307, 13495, 11253, 729, 11221, 519, 1101, 7022, 540, 3162, 4000, 267, 543, 519, 2197, 2968, 513, 9111, 269, 0, 18893, 673, 2192, 16272, 723, 1279, 26970, 519, 1480, 2247, 267, 4101, 938, 8226, 543, 13031, 519, 14960, 540, 875, 938, 12058, 4612, 3308, 1344, 269, 2290, 971, 10578, 21903, 814, 3144, 519, 4950, 676, 7088, 1765, 519, 26726, 14986, 30677, 7629, 4288, 269, 634, 4161, 568, 2312, 281, 666, 596, 1265, 519, 6456, 9782, 538, 1175, 476, 1321, 7643, 286, 769, 713, 2376, 267, 649, 7832, 593, 513, 3460, 547, 19586, 519, 11580, 3297, 713, 9159, 3308, 11015, 267, 3695, 519, 2257, 540, 9804, 2192, 16272, 543, 3246, 513, 1900, 8386, 9912, 3070, 547, 10625, 519, 10703, 4705, 9782, 563, 763, 7420, 281, 4855, 519, 26726, 14986, 538, 476, 1321, 1530, 6948, 454, 763, 26726, 14986, 30677, 7629, 4288, 814, 1831, 513, 2442, 2228, 14815, 267, 1303, 6005, 3755, 547, 1449, 741, 3308, 1035, 8462, 543, 3007, 547, 1469, 269, 634, 23350, 568, 2241, 281, 513, 9583, 8723, 3239, 10703, 1023, 513, 6456, 9782, 267, 543, 519, 4161, 568, 547, 5544, 621, 1369, 513, 6071, 476, 1321, 7643, 269, 634, 4950, 568, 705, 340, 3960, 609, 3755, 12394, 547, 11523, 519, 3009, 543, 7866, 519, 21792, 27536, 5728, 563, 763, 7629, 4288, 779, 19606, 454, 763, 5169, 540, 519, 26726, 14986, 30677, 7629, 4288, 3788, 513, 9814, 267, 4946, 547, 922, 27559, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1177, 2946, 1004, 267, 7350, 2875, 538, 519, 2160, 540, 519, 8835, 553, 3557, 267, 28337, 547, 519, 521, 831, 2946, 631, 1177, 2946, 2021, 7681, 543, 513, 851, 540, 519, 6805, 2875, 3350, 538, 8835, 553, 563, 21579, 11253, 590, 831, 2946, 631, 1177, 2946, 454, 30700, 543, 6805, 8004, 540, 519, 521, 831, 2946, 631, 1177, 2946, 1004, 563, 1626, 267, 568, 513, 19384, 2916, 543, 1514, 19191, 267, 9117, 538, 2605, 12156, 585, 8892, 543, 808, 990, 839, 19994, 334, 1849, 9874, 910, 5696, 553, 6403, 20377, 269, 2701, 6212, 1200, 960, 593, 519, 1463, 3310, 1063, 2916, 1689, 267, 2825, 12159, 543, 14375, 1894, 269, 2290, 540, 1200, 5301, 568, 547, 5000, 6107, 547, 20834, 1125, 547, 4339, 585, 741, 1318, 547, 30598, 609, 606, 3235, 10999, 2922, 543, 1272, 7874, 1604, 267, 538, 1840, 547, 9870, 4656, 585, 519, 8594, 540, 519, 2916, 12900, 563, 5445, 2149, 938, 2104, 269, 3767, 621, 568, 942, 585, 721, 547, 2149, 741, 1459, 865, 789, 666, 723, 513, 2104, 607, 1134, 563, 8923, 4688, 2494, 9476, 269, 16440, 519, 8835, 269, 1948, 9377, 754, 763, 9377, 11367, 563, 1607, 5859, 3096, 21969, 697, 781, 3435, 547, 6318, 7482, 269, 8625, 267, 649, 979, 3564, 2029, 547, 17108, 519, 14759, 547, 3035, 519, 12655, 4886, 17644, 543, 3666, 519, 3347, 1063, 1004, 543, 519, 4541, 563, 1708, 271, 21969, 697, 2485, 362, 454, 306, 14244, 6754, 334, 910, 681, 7699, 15656, 5651, 572, 267, 476, 10619, 454, 26780, 910, 13722, 10003, 267, 4975, 6355, 910, 10418, 267, 5149, 476, 4510, 454, 307, 1779, 547, 721, 454, 1432, 338, 1952, 1341, 4649, 476, 1556, 476, 280, 6246, 9032, 268, 3393, 280, 278, 0, 763, 13169, 568, 513, 1106, 540, 13989, 602, 3322, 9140, 543, 1287, 4730, 17914, 609, 513, 1305, 540, 2338, 269, 634, 2338, 616, 6074, 14477, 676, 513, 1533, 2229, 269, 1879, 519, 10888, 2338, 6474, 267, 596, 1205, 930, 540, 707, 2724, 1394, 543, 519, 2229, 4991, 519, 1964, 563, 2467, 568, 513, 2603, 540, 15784, 936, 519, 13169, 543, 2436, 621, 568, 513, 1434, 1259, 547, 6318, 7482, 585, 1533, 3785, 269, 2368, 1004, 3494, 602, 621, 568, 513, 1036, 4809, 3454, 267, 1247, 1866, 2161, 602, 621, 7512, 22925, 13989, 2623, 563, 17829, 945, 8044, 1996, 519, 13169, 3409, 602, 621, 8992, 10363, 13989, 267, 568, 513, 2101, 3454, 593, 2539, 4747, 2516, 267, 543, 5012, 547, 824, 28407, 269, 1717, 267, 1034, 1004, 945, 1404, 519, 13169, 3858, 609, 922, 5817, 3804, 540, 9870, 8907, 543, 9878, 585, 1857, 2533, 563, 1103, 519, 2136, 2276, 267, 1034, 1533, 6608, 7500, 741, 1378, 13169, 269, 1358, 723, 30049, 625, 593, 519, 1870, 543, 798, 711, 1450, 5010, 27601, 547, 14526, 609, 873, 269, 634, 12434, 689, 891, 27601, 616, 1031, 547, 8804, 1857, 3292, 267, 1519, 1153, 267, 19814, 267, 543, 7128, 13623, 563, 6624, 27601, 723, 2319, 539, 909, 609, 5026, 23471, 2478, 543, 824, 3549, 547, 1683, 2442, 2472, 607, 26065, 538, 741, 3756, 269, 634, 3549, 2744, 4598, 543, 10229, 9489, 607, 513, 1267, 540, 891, 11650, 269, 634, 2829, 7443, 689, 891, 9388, 607, 1134, 267, 543, 789, 849, 1832, 519, 16101, 2724, 1310, 9878, 856, 519, 23602, 543, 8720, 5665, 3790, 563, 5278, 2829, 849, 723, 24539, 2861, 10685, 518, 3292, 1141, 21625, 4309, 513, 1978, 6871, 540, 519, 19044, 6455, 602, 789, 5352, 585, 519, 13169, 269, 634, 16855, 13169, 267, 585, 1383, 267, 17188, 21625, 476, 273, 260, 540, 519, 2698, 19044, 6455, 602, 789, 6133, 952, 789, 2333, 19044, 6455, 676, 1880, 5666, 563, 299, 582, 6670, 5171, 666, 3442, 547, 723, 741, 3094, 11789, 6976, 538, 513, 26686, 2040, 610, 606, 3045, 8462, 269, 700, 2794, 18304, 616, 1419, 513, 811, 10694, 4781, 585, 23602, 267, 1317, 789, 798, 711, 723, 547, 2628, 9204, 593, 873, 2394, 519, 16771, 779, 3454, 7024, 2097, 538, 563, 17829, 945, 616, 10353, 547, 519, 13169, 3409, 602, 621, 568, 606, 15490, 1259, 547, 6318, 2724, 585, 1533, 3785, 543, 602, 621, 568, 606, 20025, 3454, 593, 2539, 13867, 2516, 269, 1358, 849, 2161, 602, 621, 568, 513, 5906, 1106, 540, 13989, 543, 602, 621, 7512, 8213, 563, 763, 13169, 814, 1044, 1472, 585, 5553, 543, 814, 1044, 1031, 547, 6318, 2724, 585, 10034, 267, 10617, 267, 12621, 267, 543, 1857, 3785, 269, 769, 519, 2136, 2276, 267, 519, 1101, 13169, 729, 2813, 538, 476, 14065, 273, 543, 2094, 1287, 519, 1533, 17898, 29107, 27601, 723, 1044, 513, 4105, 2707, 540, 2724, 585, 1857, 3785, 563, 7212, 1034, 1004, 29343, 540, 519, 13169, 267, 972, 568, 513, 7934, 1063, 13170, 543, 7589, 3928, 269, 6168, 476, 1704, 2600, 540, 1004, 1767, 789, 5129, 519, 13169, 811, 982, 2899, 513, 3018, 267, 476, 1724, 260, 1767, 789, 5129, 827, 2899, 513, 3018, 267, 543, 519, 1964, 1767, 789, 5129, 835, 547, 1614, 2053, 513, 3923, 610, 1447, 269, 8409, 945, 941, 538, 741, 476, 736, 338, 543, 476, 1789, 338, 941, 811, 2693, 547, 581, 7928, 5716, 269, 0, 2691, 14731, 700, 2378, 599, 8291, 4223, 515, 9749, 729, 4535, 538, 476, 9965, 276, 267, 538, 19846, 985, 267, 19846, 985, 267, 3162, 10491, 267, 2136, 2276, 267, 1010, 4651, 267, 7338, 4223, 515, 9749, 4083, 267, 729, 476, 3607, 543, 1010, 3993, 267, 661, 32642, 21025, 9519, 267, 729, 476, 3607, 269, 1261, 9310, 6307, 22413, 534, 1408, 538, 476, 9264, 274, 267, 538, 717, 342, 4883, 9116, 267, 11908, 267, 2136, 2276, 269, 1358, 941, 519, 3237, 540, 693, 2547, 476, 278, 14930, 543, 476, 275, 20766, 269, 1261, 5747, 593, 476, 274, 5437, 476, 7277, 273, 267, 538, 717, 342, 4883, 9116, 267, 11908, 267, 2136, 2276, 267, 693, 519, 2085, 540, 476, 6872, 267, 543, 729, 12617, 538, 8805, 15880, 30895, 267, 700, 559, 14315, 267, 717, 342, 4883, 9116, 267, 11908, 267, 2136, 2276, 563, 12626, 281, 19121, 2096, 545, 689, 4223, 515, 342, 6902, 513, 14583, 540, 4223, 1492, 9749, 1547, 769, 3345, 3013, 267, 713, 21519, 814, 12842, 1585, 26256, 919, 689, 824, 4654, 563, 14532, 281, 7324, 519, 9998, 581, 31600, 540, 519, 2012, 538, 3345, 3013, 729, 15656, 4223, 515, 9749, 630, 322, 269, 476, 8182, 271, 1700, 322, 269, 476, 13679, 278, 1070, 945, 3357, 547, 22622, 689, 5507, 524, 269, 476, 14065, 279, 269, 1261, 3964, 513, 24873, 693, 519, 5023, 540, 519, 2782, 19213, 5211, 267, 799, 729, 693, 1101, 1572, 4223, 515, 9749, 2494, 528, 282, 2663, 922, 2012, 729, 4957, 547, 9324, 321, 662, 269, 1261, 729, 835, 540, 519, 1034, 3532, 543, 9565, 2367, 538, 519, 2038, 12602, 540, 519, 12733, 269, 1261, 630, 528, 7654, 1010, 5067, 267, 945, 16004, 519, 1482, 2012, 264, 729, 17294, 540, 519, 12733, 689, 476, 13679, 278, 2394, 1010, 2669, 538, 476, 14917, 271, 563, 2026, 513, 18758, 267, 649, 2709, 1863, 948, 547, 1346, 3168, 547, 1451, 519, 3877, 540, 741, 1920, 1650, 269, 0, 1692, 616, 1034, 24738, 865, 4977, 593, 15963, 267, 1256, 1498, 789, 2461, 513, 1906, 6279, 1657, 519, 22902, 888, 306, 2074, 616, 4977, 1317, 789, 1205, 14661, 543, 26215, 730, 676, 3001, 519, 8289, 2370, 5666, 2394, 519, 8289, 568, 20898, 909, 609, 519, 15833, 689, 519, 22902, 563, 5445, 723, 547, 581, 8289, 539, 585, 513, 1978, 2039, 269, 634, 631, 1626, 22902, 568, 11329, 909, 3379, 547, 519, 24738, 267, 865, 952, 519, 3364, 596, 2461, 17935, 693, 568, 1932, 2673, 1287, 707, 8929, 786, 581, 1164, 269, 594, 666, 1406, 3314, 519, 3169, 2039, 267, 855, 12341, 1472, 476, 1789, 344, 1091, 568, 519, 1482, 2832, 607, 476, 1220, 344, 1091, 267, 607, 519, 16886, 786, 2097, 909, 267, 1780, 998, 519, 17935, 1448, 267, 1287, 1832, 2895, 532, 543, 2887, 1394, 883, 519, 17935, 1448, 269, 1924, 8289, 532, 538, 786, 4755, 693, 476, 1789, 547, 1118, 2386, 972, 779, 4986, 4636, 609, 519, 29461, 267, 543, 1287, 2259, 693, 476, 1220, 547, 1205, 2842, 11941, 563, 272, 269, 3509, 24738, 616, 28253, 267, 865, 789, 666, 581, 26215, 730, 547, 6474, 519, 3593, 543, 519, 15246, 3845, 563, 273, 269, 674, 12089, 24738, 1869, 1683, 513, 4704, 1448, 585, 596, 547, 2832, 609, 267, 1498, 596, 3580, 723, 547, 22771, 593, 707, 1378, 269, 634, 8289, 3884, 1406, 968, 24014, 1848, 898, 779, 513, 1907, 547, 948, 519, 3593, 9496, 8308, 563, 274, 269, 4107, 24738, 630, 663, 1085, 8554, 264, 723, 24795, 31960, 883, 873, 547, 4217, 596, 538, 9104, 908, 585, 519, 16886, 779, 4397, 18330, 563, 288, 8929, 568, 17991, 543, 1287, 24738, 616, 14661, 865, 602, 835, 8929, 568, 538, 519, 4099, 540, 519, 8289, 269, 3767, 519, 24738, 616, 1434, 585, 519, 8929, 3845, 602, 729, 1031, 547, 26215, 622, 873, 269, 1280, 824, 9883, 24738, 2154, 11941, 269, 22527, 596, 666, 7447, 519, 16886, 6749, 547, 3476, 9832, 543, 798, 519, 16369, 609, 707, 4064, 563, 763, 24738, 616, 14661, 5402, 865, 602, 519, 15493, 8289, 568, 513, 6263, 3787, 2362, 982, 519, 4395, 8289, 865, 602, 789, 1448, 2047, 547, 519, 5544, 538, 519, 3845, 1141, 519, 16886, 786, 5734, 269, 901, 1152, 1568, 585, 1808, 9883, 543, 9496, 902, 20991, 3340, 17935, 1657, 519, 3077, 269, 0, 300, 839, 7770, 708, 654, 3881, 571, 636, 269, 654, 739, 758, 563, 24109, 753, 538, 2230, 269, 642, 739, 758, 563, 396, 356, 3264, 6459, 13833, 3264, 7549, 11714, 17095, 25974, 9261, 25974, 3264, 269, 31560, 3378, 13150, 30718, 563, 309, 739, 758, 568, 3126, 519, 1101, 812, 2740, 2230, 9635, 269, 634, 1982, 812, 2740, 19426, 966, 739, 758, 454, 13195, 5645, 856, 538, 519, 8168, 5742, 2094, 476, 3422, 272, 547, 476, 3422, 274, 269, 7201, 519, 1982, 966, 739, 758, 454, 529, 13401, 3670, 812, 2740, 19426, 563, 5575, 538, 519, 1158, 519, 2230, 8184, 814, 1500, 962, 19441, 717, 698, 18288, 454, 2421, 519, 2230, 6928, 454, 5575, 538, 519, 1158, 519, 3232, 8184, 814, 1500, 4436, 25315, 990, 454, 2421, 519, 2230, 6928, 966, 739, 758, 910, 476, 273, 563, 5575, 538, 519, 1158, 1895, 8184, 723, 1500, 1656, 6929, 21208, 565, 2801, 341, 454, 2421, 519, 2230, 6928, 966, 739, 758, 910, 476, 274, 454, 663, 14529, 767, 7377, 990, 747, 454, 2421, 519, 2230, 6928, 966, 739, 758, 910, 476, 275, 269, 4438, 1895, 8184, 519, 2230, 9635, 454, 309, 739, 758, 910, 476, 274, 543, 966, 739, 758, 910, 476, 275, 14059, 909, 547, 476, 273, 5998, 267, 3976, 5430, 3000, 2246, 338, 21208, 565, 2801, 341, 543, 454, 16954, 990, 747, 4767, 1142, 824, 563, 763, 2034, 1895, 8184, 723, 1500, 4406, 2044, 645, 345, 28325, 20391, 454, 2421, 519, 2230, 6928, 966, 24934, 758, 910, 476, 276, 543, 454, 14140, 538, 519, 1158, 519, 4807, 1107, 5430, 3000, 2246, 4406, 550, 2088, 1855, 3306, 330, 13960, 454, 2421, 519, 2230, 6928, 454, 309, 739, 758, 910, 476, 277, 269, 15328, 3000, 2246, 4406, 2044, 1635, 28325, 20391, 814, 3964, 513, 2594, 540, 8653, 540, 454, 560, 599, 538, 2230, 910, 3592, 476, 276, 2395, 269, 901, 2594, 540, 3251, 538, 2230, 538, 513, 2582, 2023, 3788, 454, 2254, 2736, 11489, 1631, 269, 2561, 30068, 267, 713, 2594, 786, 581, 2736, 2760, 563, 5575, 543, 2034, 865, 12858, 1115, 737, 657, 3000, 2246, 338, 912, 294, 698, 18288, 543, 25315, 990, 563, 5575, 476, 275, 865, 12858, 1115, 737, 657, 3000, 2246, 338, 912, 294, 698, 18288, 267, 7377, 990, 747, 267, 25315, 990, 543, 21208, 565, 2801, 341, 563, 27026, 540, 519, 865, 341, 2884, 5430, 3000, 2246, 338, 563, 1103, 4395, 267, 689, 2451, 281, 1323, 1731, 514, 267, 3840, 2088, 267, 7377, 990, 747, 267, 1855, 3306, 330, 13960, 267, 3752, 990, 344, 13960, 563, 1103, 1394, 267, 689, 2451, 281, 7790, 11631, 267, 1744, 13908, 267, 2142, 569, 599, 5271, 267, 25315, 990, 267, 21208, 565, 2801, 341, 267, 3026, 569, 889, 990, 267, 10609, 14725, 990, 267, 918, 558, 541, 990, 267, 717, 698, 18288, 267, 5292, 2106, 990, 267, 717, 12643, 520, 14150, 267, 15182, 990, 563, 9359, 585, 966, 739, 758, 5692, 563, 763, 1101, 3670, 8168, 5430, 3000, 2246, 338, 281, 7377, 990, 747, 267, 717, 698, 18288, 267, 1855, 3306, 330, 13960, 267, 21208, 565, 599, 5271, 267, 1635, 28325, 20391 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8807, 324, 1155, 538, 1582, 8807, 324, 1155, 318, 5814, 766, 912, 2018, 1582, 8807, 324, 1155, 318, 5814, 766, 314, 2017, 337, 17045, 8807, 324, 1155, 316, 6834, 791, 454, 1038, 3116, 912, 2018, 1582, 8807, 324, 1155, 318, 5814, 766, 314, 2017, 337, 17045, 8807, 324, 1155, 316, 815, 791, 454, 1038, 2132, 28364, 17045, 7531, 825, 1948, 973, 9309, 998, 519, 3529, 3097, 825, 1219, 19665, 17045, 4311, 267, 6843, 267, 1239, 2187, 1038, 1948, 3247, 519, 16571, 542, 454, 1038, 952, 6843, 18994, 318, 29566, 2652, 6936, 281, 825, 692, 2018, 2132, 6843, 7456, 8475, 692, 1038, 4183, 815, 6843, 8807, 324, 1155, 692, 1038, 1948, 973, 9309, 593, 1453, 6843, 454, 1038, 952, 1239, 314, 10623, 1155, 316, 10922, 6843, 269, 628, 11611, 912, 2018, 2132, 1582, 269, 5035, 1518, 17045, 27316, 16192, 267, 1239, 2020, 1038, 8640, 1239, 314, 10623, 1155, 316, 3436, 6843, 269, 628, 11611, 912, 2018, 2132, 1582, 269, 5035, 1518, 17045, 27316, 16000, 267, 1239, 2020, 825, 1948, 19665, 782, 519, 9136, 538, 519, 1449, 5311, 14350, 454, 825, 1219, 19665, 4311, 267, 1239, 2567, 3097, 1038, 8760, 815, 29129, 1038, 1948, 19665, 519, 9136, 14350, 454, 1038, 585, 1775, 538, 2039, 16597, 17482, 314, 271, 316, 2187, 2018, 31575, 815, 1239, 7456, 665, 5157, 316, 8528, 2018, 8760, 6910, 263, 1582, 269, 5035, 1518, 17045, 4311, 269, 10174, 267, 31575, 264, 25589, 1038, 2132, 8760, 28329, 258, 12693, 7726, 476, 273, 269, 272, 454, 258, 4635, 7600, 19118, 284, 8072, 6265, 328, 8730, 6029, 519, 6111, 6060, 540, 1449, 1239, 676, 7665, 5091, 3704, 284, 274, 543, 7665, 5091, 3704, 284, 1015, 267, 6606, 563, 258, 476, 7531, 743, 325, 5091, 3704, 274, 815, 17423, 21698, 6262, 761, 19118, 8782, 6265, 328, 3299, 3193, 5091, 3704, 284, 274, 994, 5035, 7272, 9438, 687, 815, 804, 325, 5091, 3704, 274, 269, 5035, 1518, 3287, 17601, 994, 2745, 6600, 257, 3147, 5596, 804, 325, 5091, 3704, 274, 281, 2715, 3147, 5596, 23962, 12169, 17601, 267, 1362, 7272, 9438, 687, 14587, 15419, 743, 325, 5091, 3704, 1015, 815, 17423, 21698, 6262, 761, 19118, 8782, 6265, 328, 3299, 3193, 5091, 3704, 284, 1015, 994, 5035, 7272, 9438, 687, 815, 804, 325, 5091, 3704, 1015, 269, 5035, 1518, 3287, 17601, 994, 2745, 6600, 257, 3147, 5596, 804, 325, 5091, 3704, 1015, 281, 2715, 3147, 5596, 23962, 12169, 17601, 267, 1362, 7272, 9438, 687, 14587, 15419, 258, 12693, 7726, 476, 273, 269, 273, 454, 258, 4635, 7665, 5091, 3704, 284, 274, 267, 6029, 519, 6111, 6060, 540, 1449, 1239, 676, 7600, 19118, 284, 8072, 6265, 328, 685, 543, 7600, 19118, 284, 685, 550, 16552, 8730, 6606, 563, 258, 8528, 743, 325, 318, 6265, 328, 815, 17423, 21698, 6262, 761, 19118, 8782, 6265, 328, 3299, 3193, 5091, 3704, 284, 274, 994, 5035, 7272, 9438, 687, 815, 804, 325, 318, 6265, 328, 269, 5035, 1518, 3287, 15305, 994, 2745, 6600, 257, 3147, 5596, 804, 325, 318, 6265, 328, 281, 2715, 3147, 5596, 23962, 12169, 15305, 267, 1362, 7272, 9438, 687, 14587, 257, 9239, 743, 325, 318, 550, 16552, 815, 17423, 21698, 6262, 761, 19118, 8782, 550, 16552, 3299, 3193, 5091, 3704, 284, 274, 994, 5035, 7272, 9438, 687, 815, 804, 325, 318, 550, 16552, 269, 5035, 1518, 3287, 15305, 994, 2745, 6600, 257, 3147, 5596, 804, 325, 318, 550, 16552, 281, 2715, 3147, 5596, 23962, 12169, 15305, 267, 1362, 7272, 9438, 687, 14587, 15419, 258, 910, 8074, 281, 2353, 540, 707, 6111, 8464, 1058, 936, 476, 271, 269, 280, 454, 258, 910, 8074, 281, 1411, 1058, 1205, 519, 1482, 2164, 950, 556, 20671, 519, 2203, 609, 519, 1482, 7440, 267, 476, 1100, 991, 547, 32566, 519, 4054, 454, 258, 910, 670, 842, 281, 1411, 666, 946, 519, 25276, 1505, 547, 1628, 519, 9136, 454, 258, 8528, 258, 12361, 7726, 476, 274, 454, 258, 18140, 519, 1496, 10623, 1155, 2956, 28488, 10059, 2517, 572, 25206, 802, 2593, 270, 1708, 271, 270, 6860, 270, 6187, 270, 10623, 1155, 268, 5814, 766, 2987, 11546, 17800, 2389, 4181, 270, 3738, 540, 707, 17423, 10326, 2203, 269, 1411, 666, 1205, 519, 4183, 2956, 676, 10203, 519, 4183, 1031, 585, 24590, 1239, 563, 258, 3097, 258, 910, 1411, 666, 3274, 4729, 519, 4183, 12523, 585, 2679, 3529, 1510, 3339, 1125, 519, 2956, 454, 258, 3097, 258, 8206, 314, 13548, 28488, 10059, 2517, 328, 273, 9884, 335, 2593, 270, 572, 25206, 802, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1708, 271, 270, 6860, 11305, 3393, 30235, 9113, 6699, 27970, 286, 342, 284, 4366, 272, 261, 1087, 331, 284, 272, 2020, 5814, 766, 815, 804, 325, 5091, 3704, 1015, 10947, 318, 5814, 766, 4590, 5814, 766, 815, 2715, 330, 2433, 642, 585, 737, 267, 642, 538, 15044, 263, 5814, 766, 29096, 19572, 1883, 284, 14433, 6221, 281, 6221, 314, 272, 8079, 8679, 10823, 269, 8663, 263, 5814, 766, 269, 12399, 19572, 2956, 269, 11161, 15405, 10823, 26644, 2891, 8722, 1155, 11957, 585, 804, 325, 5091, 3704, 1015, 5602, 10823, 269, 29786, 2891, 8722, 1155, 2012, 5602, 10823, 11859, 16932, 2891, 8722, 1155, 1871, 5602, 10823, 20481, 10797, 258, 12361, 7726, 476, 275, 454, 258, 2936, 519, 15932, 11206, 5690, 676, 1210, 519, 595, 11286, 596, 1175, 8045, 689, 2243, 476, 273, 269, 1411, 1058, 2936, 1079, 7440, 585, 519, 15932, 11206, 563, 258, 3097, 258, 476, 272, 269, 2878, 301, 318, 652, 574, 2209, 4995, 634, 1297, 540, 4054, 538, 519, 4104, 269, 3097, 258, 476, 273, 269, 2878, 16655, 6958, 324, 2137, 4995, 634, 1297, 540, 4351, 2824, 2934, 547, 2015, 950, 3168, 585, 519, 1655, 8237, 454, 258, 476, 274, 269, 2878, 289, 2393, 560, 1905, 4995, 6787, 18849, 560, 1905, 5439, 616, 1031, 950, 2679, 3529, 454, 258, 476, 7531, 10623, 1155, 5332, 1868, 318, 10594, 815, 4183, 5332, 1868, 6983, 4878, 10797, 5035, 15932, 20288, 560, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 318, 652, 574, 2209, 267, 3193, 6958, 324, 2137, 22561, 267, 18849, 560, 1905, 18989, 267, 21205, 8782, 6265, 328, 3299, 3193, 5091, 3704, 22561, 2187, 1038, 1582, 8542, 318, 652, 574, 2209, 815, 562, 318, 652, 574, 2209, 8587, 1948, 875, 1082, 4054, 547, 946, 454, 1038, 1582, 27982, 6958, 324, 2137, 815, 703, 32384, 6958, 324, 2137, 264, 1948, 1297, 540, 2934, 547, 14477, 3732, 267, 17031, 1524, 547, 14282, 8870, 454, 1038, 1582, 269, 2692, 1824, 1905, 815, 18849, 560, 1905, 17264, 1948, 2436, 547, 946, 18849, 14259, 5529, 5439, 3097, 1038, 1582, 6983, 761, 19118, 815, 21205, 2018, 1948, 799, 1599, 547, 946, 607, 19454, 2638, 454, 1038, 1582, 27982, 5091, 3704, 815, 3193, 5091, 3704, 2018, 1948, 875, 1082, 6106, 938, 3529, 666, 723, 454, 1038, 1582, 8807, 324, 2137, 815, 32582, 7386, 1948, 1305, 540, 2934, 649, 786, 946, 454, 1038, 1582, 4877, 9438, 687, 815, 11713, 13872, 1038, 1820, 6600, 257, 19465, 4351, 4104, 609, 281, 562, 318, 652, 574, 2209, 346, 1345, 8542, 318, 652, 574, 2209, 348, 26444, 3546, 3193, 6958, 324, 2137, 281, 346, 1345, 27982, 6958, 324, 2137, 348, 21205, 281, 2715, 1345, 6983, 761, 19118, 348, 15419, 1038, 2132, 7183, 454, 825, 1219, 1024, 6958, 324, 2137, 8217, 4311, 2187, 1038, 1775, 815, 476, 271, 692, 1038, 1948, 7446, 606, 4994, 689, 2934, 5119, 547, 7696, 538, 938, 1592, 3097, 1038, 1948, 4595, 2934, 538, 519, 3529, 666, 581, 7368, 538, 519, 3529, 4070, 2676, 1038, 1948, 649, 1810, 1405, 1450, 17279, 950, 8939, 519, 2934, 1934, 454, 1038, 1582, 8807, 324, 2137, 815, 11713, 1038, 1247, 1775, 2999, 1582, 27982, 6958, 324, 2137, 912, 27030, 2018, 4994, 815, 28219, 9792, 12759, 6600, 324, 1155, 5332, 1868, 318, 10594, 9984, 272, 994, 2018, 454, 2018, 952, 4183, 5332, 1868, 318, 10594, 27709, 316, 538, 1582, 8807, 324, 2137, 912, 3546, 3136, 692, 2018, 1582, 8807, 324, 2137, 6910, 6600, 324, 1155, 5332, 1868, 318, 10594, 27709, 7481, 2018, 1775, 6834, 476, 272, 454, 825, 1219, 5354, 24449, 1774, 4311, 267, 11236, 2187, 1038, 1948, 952, 3368, 610, 811, 540, 519, 476, 4054, 9286, 621, 3097, 1038, 1948, 607, 1978, 1362, 267, 4734, 621, 899, 602, 454, 1038, 1362, 318, 628, 11611, 815, 703, 4311, 8542, 318, 652, 574, 2209, 1315, 476, 273, 264, 1363, 692, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 1582, 4877, 9438, 687, 5157, 316, 815, 476, 272, 952, 1582, 4877, 9438, 687, 5157, 316, 3436, 1362, 318, 628, 11611, 3116, 476, 271, 692, 825, 1219, 9337, 7272, 9438, 687, 4311, 267, 11236, 267, 28364, 7272, 9438, 687, 2567, 22322, 1038, 1948, 9337, 519, 1293, 538, 938, 2698, 11236, 1592, 454, 1038, 585, 4994, 267, 1775, 538, 26246, 263, 2017, 337, 7272, 9438, 687, 2187, 2018, 952, 1775, 2652, 476, 272, 912, 3546, 1582, 4877, 9438, 687, 27709, 316, 6834, 476, 272, 692, 825, 1219, 1205, 7272, 9438, 687, 4311, 2187, 1038, 2132, 1582, 4877, 9438, 687, 8528, 825, 1219, 1628, 318, 10809, 4311, 267, 1239, 2187, 1038, 1948, 2949, 1362, 11236, 609, 2016, 2450, 454, 1038, 1582, 4877, 9438, 687, 815, 1496, 271, 316, 2608, 1239, 17482, 314, 271, 316, 672, 7531, 1038, 585, 1775, 538, 2039, 4311, 8542, 318, 652, 574, 2209, 2187, 2018, 1820, 6600, 257, 315, 11687, 574, 1807, 2433, 2715, 328, 348, 5602, 17264, 1948, 5352, 519, 2934, 649, 946, 585, 713, 3529, 454, 2018, 1582, 269, 2102, 6958, 324, 2137, 8217, 10797, 2018, 1948, 2638, 519, 623, 7968, 279, 11249, 1934, 454, 2018, 1232, 4671, 872, 815, 17423, 21698, 18692, 3546, 21205, 284, 1345, 6983, 761, 19118, 267, 3097, 3546, 3193, 5091, 3704, 284, 1345, 27982, 5091, 3704, 267, 3097, 3546, 2934, 8217, 284, 1345, 8807, 324, 2137, 454, 2018, 25589, 2018, 1948, 1362, 10297, 585, 519, 1699, 3529, 3097, 13872, 2018, 28364, 7272, 9438, 687, 815, 1232, 4671, 872, 269, 5035, 1518, 16597, 2020, 2018, 1582, 269, 26303, 7272, 9438, 687, 4311, 4877, 9438, 687, 267, 28364, 7272, 9438, 687, 9239, 1038, 1948, 1205, 519, 3803, 28944, 3097, 1038, 1582, 6230, 1994, 640, 24449, 1774, 4311, 4877, 9438, 687, 2020, 7531, 258, 12693, 7726, 476, 275, 269, 272, 454, 258, 4635, 7600, 19118, 284, 8072, 6265, 328, 8730, 7665, 5091, 3704, 22561, 267, 7665, 6958, 324, 2137, 284, 6912, 3799, 6958, 324, 2137, 1070, 6029, 519, 6111, 6060, 540, 1449, 1239, 676, 562, 318, 652, 574, 2209, 284, 1015, 543, 562, 318, 652, 574, 2209, 284, 1911, 267, 6606, 563, 258, 8528, 743, 325, 318, 1015, 29728, 815, 15932, 20288, 560, 3799, 318, 652, 574, 2209, 284, 1015, 267, 3193, 6958, 324, 2137, 284, 12639, 28460, 3287, 17601, 17482, 314, 272, 28413, 743, 325, 318, 1015, 29728, 12500, 4265, 318, 10809, 3287, 17601, 994, 2745, 6600, 257, 743, 325, 1015, 29728, 6111, 281, 26444, 825, 2715, 3147, 5596, 23962, 12169, 17601, 267, 804, 325, 318, 1015, 29728, 10947, 7272, 9438, 687, 3890, 14587, 15419, 743, 325, 318, 1911, 29728, 815, 15932, 20288, 560, 3799, 318, 652, 574, 2209, 284, 1911, 267, 3193, 6958, 324, 2137, 284, 12639, 28460, 3287, 17601, 17482, 314, 272, 28413, 743, 325, 318, 1911, 29728, 12500, 4265, 318, 10809, 3287, 17601, 994, 2745, 6600, 257, 743, 325, 318, 1911, 29728, 6111, 281, 26444, 825, 2715, 3147, 5596, 23962, 12169, 17601, 267, 804, 325, 318, 1015, 29728, 10947, 7272, 9438, 687, 3890, 14587, 15419, 258, 12693, 7726, 476, 275, 269, 273, 454, 258, 4635, 7600, 19118, 284, 8072, 6265, 328, 8730, 7665, 5091, 3704, 22561, 267, 715, 318, 652, 574, 2209, 284, 1015, 267, 6029, 519, 6111, 6060, 540, 1449, 1239, 676, 7665, 6958, 324, 2137, 284, 6912, 3799, 6958, 324, 2137, 264, 543, 7665, 6958, 324, 2137, 284, 333, 6958, 324, 2137, 267, 6606, 563, 258, 476, 7531, 743, 325, 318, 718, 6958, 324, 2137, 815, 15932, 20288, 560, 3799, 318, 652, 574, 2209, 284, 1015, 267, 3193, 6958, 324, 2137, 284, 12639, 28460, 3287, 17601, 17482, 314, 272, 28413, 743, 325, 318, 718, 6958, 324, 2137, 12500, 4265, 318, 10809, 3287, 15305, 994, 2745, 6600, 257, 743, 325, 318, 718, 6958, 324, 2137, 6111, 281, 26444, 825, 2715, 3147, 5596, 23962, 12169, 15305, 267, 804, 325, 318, 718, 6958, 324, 2137, 10947, 7272, 9438, 687, 3890, 14587, 15419, 743, 325, 318, 12690, 6958, 324, 2137, 815, 15932, 20288, 560, 3799, 318, 652, 574, 2209, 284, 1015, 267, 3193, 6958, 324, 2137, 24210, 17601, 17482, 314, 272, 7481, 743, 325, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 825, 1948, 10912, 1899, 11742, 1599, 454, 1038, 1835, 269, 10938, 318, 2750, 4003, 3890, 825, 1948, 10912, 4283, 318, 2750, 4003, 1599, 692, 825, 1219, 3406, 12336, 341, 17572, 4311, 2187, 1038, 1948, 713, 1599, 786, 3406, 519, 1543, 607, 9138, 676, 519, 3758, 692, 1038, 1948, 2119, 7721, 1061, 16083, 454, 1038, 2119, 912, 2018, 15259, 26716, 323, 597, 3488, 322, 12364, 291, 17805, 10807, 17264, 1948, 669, 22135, 519, 15682, 454, 2018, 19883, 29335, 6600, 262, 346, 657, 10947, 322, 23424, 3890, 348, 568, 938, 1699, 2324, 15682, 10807, 672, 1948, 1210, 19883, 29335, 692, 1038, 4849, 1401, 4003, 912, 2018, 1948, 952, 1022, 9868, 568, 9575, 454, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 25639, 1948, 10912, 1899, 11742, 535, 1075, 660, 542, 454, 2018, 1820, 3488, 5591, 6270, 11711, 10558, 17210, 1038, 3116, 912, 2018, 1948, 568, 1100, 5470, 568, 9575, 454, 2018, 3758, 8266, 815, 1835, 269, 4134, 335, 17572, 11243, 4590, 2018, 1948, 10912, 7006, 17572, 11243, 543, 26471, 3758, 8266, 609, 1592, 561, 692, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 692, 2018, 19883, 29335, 3488, 11514, 2452, 532, 28567, 10558, 769, 26417, 291, 17805, 5073, 2018, 19883, 29335, 31526, 8266, 994, 2018, 1948, 1210, 19883, 29335, 692, 2018, 4994, 17572, 815, 524, 328, 28827, 17572, 10831, 16325, 284, 271, 267, 561, 284, 12803, 8266, 264, 825, 1948, 10912, 4994, 17572, 10831, 1599, 543, 26471, 519, 1871, 540, 1535, 547, 4994, 17572, 692, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 3546, 1948, 10912, 1899, 11742, 1599, 692, 2018, 3758, 12173, 815, 3758, 8266, 27709, 17572, 910, 476, 272, 316, 1341, 29717, 322, 12364, 28847, 2018, 19883, 29335, 6600, 262, 346, 12803, 12173, 348, 568, 519, 3758, 5697, 17210, 2018, 1948, 2119, 7721, 1061, 16083, 454, 2018, 2119, 912, 3546, 609, 1930, 31526, 12173, 267, 1412, 337, 10807, 607, 1250, 18316, 912, 7386, 1948, 6679, 519, 3758, 692, 7386, 19883, 29335, 6600, 262, 28926, 2287, 2715, 12803, 12173, 348, 10807, 23526, 1948, 1210, 2845, 21794, 29335, 692, 7386, 897, 8266, 815, 1835, 6910, 17572, 8624, 31526, 12173, 994, 7386, 1948, 813, 2056, 6241, 2012, 538, 897, 8266, 454, 7386, 9623, 8266, 815, 1835, 6910, 17572, 14813, 334, 31526, 12173, 994, 7386, 1948, 813, 2056, 1344, 538, 9623, 8266, 692, 7386, 3406, 8266, 815, 32582, 2018, 1948, 21213, 16769, 8266, 568, 606, 8900, 1592, 454, 7386, 1265, 815, 476, 271, 13376, 1948, 1028, 580, 532, 519, 1871, 476, 271, 547, 642, 4673, 1043, 1265, 692, 7386, 1247, 6936, 912, 13376, 1948, 2119, 7721, 1061, 16083, 692, 13376, 2119, 912, 23351, 524, 815, 476, 271, 454, 23351, 3406, 293, 5407, 815, 3403, 6600, 262, 11767, 2715, 3712, 8266, 314, 271, 316, 348, 1310, 799, 596, 1616, 547, 1039, 1776, 1899, 32473, 30386, 23351, 1948, 10024, 519, 1344, 454, 23351, 19883, 29335, 6600, 262, 346, 14142, 293, 5407, 348, 568, 519, 3693, 1310, 799, 3693, 786, 581, 3773, 17210, 23351, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 16769, 8266, 1070, 7003, 263, 3712, 8266, 15892, 4449, 3546, 952, 263, 14142, 293, 5407, 11203, 9623, 8266, 5157, 316, 2187, 4449, 7386, 524, 6834, 476, 272, 692, 23351, 952, 6262, 2652, 7003, 263, 16769, 8266, 264, 12262, 7003, 263, 3712, 8266, 15892, 4449, 3546, 6318, 263, 576, 8542, 657, 1276, 26383, 2750, 4003, 2020, 23351, 2736, 11434, 1948, 8840, 519, 16083, 950, 519, 3403, 538, 4570, 692, 13376, 4849, 28759, 912, 23351, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 454, 23351, 1820, 3488, 1103, 20777, 18452, 5073, 23351, 19883, 29335, 3488, 1103, 20777, 18452, 17210, 13376, 4849, 2781, 8542, 657, 1276, 26383, 2750, 4003, 912, 23351, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 994, 23351, 1820, 6600, 262, 346, 14142, 293, 5407, 348, 711, 1459, 5073, 23351, 19883, 29335, 6600, 262, 346, 14142, 293, 5407, 348, 711, 1459, 17210, 7386, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 1038, 1948, 10912, 1899, 11742, 1599, 692, 7386, 2990, 815, 29129, 7386, 2119, 912, 13376, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 16769, 8266, 1070, 7003, 263, 3712, 8266, 15892, 23351, 952, 263, 14142, 293, 5407, 2652, 9623, 8266, 5157, 316, 2187, 4449, 3546, 2990, 6910, 9217, 2020, 7386, 4849, 1401, 4003, 912, 13376, 1948, 952, 1022, 9868, 568, 9575, 454, 13376, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 454, 13376, 1820, 6600, 262, 346, 14142, 293, 5407, 348, 568, 711, 1459, 5073, 13376, 524, 328, 27406, 2237, 17572, 31526, 11243, 284, 2908, 18316, 267, 897, 284, 3712, 8266, 267, 9623, 284, 16769, 8266, 264, 825, 1948, 10912, 26417, 2237, 17572, 1599, 692, 7386, 3116, 912, 13376, 3259, 815, 7003, 263, 3712, 8266, 264, 1363, 1948, 26471, 519, 3259, 540, 897, 8266, 547, 4756, 3259, 454, 13376, 524, 815, 476, 271, 692, 13376, 585, 1775, 538, 2039, 12759, 263, 16769, 8266, 15892, 23351, 952, 9217, 2652, 2990, 314, 322, 316, 543, 3259, 11203, 476, 271, 2187, 4449, 3546, 3406, 8266, 6910, 263, 16769, 8266, 5157, 7481, 4449, 3546, 3259, 20699, 476, 272, 454, 4449, 3546, 2990, 314, 322, 316, 6834, 476, 272, 454, 23351, 952, 10857, 2654, 2652, 476, 271, 2187, 4449, 3546, 3259, 815, 7003, 263, 3712, 8266, 994, 4449, 3546, 524, 6834, 476, 272, 454, 4449, 3546, 952, 6262, 2652, 7003, 263, 6570, 15892, 4449, 7386, 2736, 454, 13376, 1948, 813, 2056, 519, 3688, 547, 581, 10268, 538, 519, 4289, 3406, 8266, 692, 13376, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 1038, 1948, 10912, 1899, 11742, 1599, 454, 13376, 1835, 269, 5891, 8368, 263, 8266, 3712, 284, 3712, 8266, 267, 5903, 16769, 284, 14142, 8266, 264, 11434, 1948, 10912, 4159, 8368, 1599, 454, 13376, 1948, 18071, 519, 813, 2105, 1344, 538, 513, 9184, 983, 3898, 692, 13376, 19883, 29335, 3488, 22033, 590, 792, 3481, 5073, 13376, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 692, 2018, 4849, 1401, 4003, 912, 3546, 1948, 952, 1022, 9868, 568, 9575, 454, 3546, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 11434, 1948, 10912, 1899, 11742, 1599, 454, 3546, 1820, 3488, 25284, 4762, 1258, 1540, 2368, 18438, 17210, 2018, 15259, 26716, 323, 597, 3488, 907, 10807, 16875, 1948, 862, 532, 1394, 689, 519, 15682, 454, 2018, 19883, 29335, 6600, 262, 346, 657, 10947, 322, 23424, 3890, 348, 568, 938, 1699, 2324, 15682, 10807, 672, 1948, 1210, 19883, 29335, 692, 1038, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 454, 1038, 1835, 269, 10938, 318, 2750, 4003, 3890, 825, 1948, 10912, 4283, 318, 2750, 4003, 1599, 692, 825, 1219, 3959, 12336, 341, 17572, 4311, 2187, 1038, 1948, 713, 1599, 786, 4159, 782, 519, 3959, 540, 519, 3758, 692, 1038, 1948, 2119, 7721, 1061, 16083, 454, 1038, 2119, 912, 2018, 15259, 26716, 323, 597, 3488, 322, 12364, 291, 17805, 10807, 17264, 1948, 669, 22135, 519, 15682, 454, 2018, 19883, 29335, 6600, 262, 346, 657, 10947, 322, 23424, 3890, 348, 568, 938, 1699, 2324, 15682, 10807, 672, 1948, 1210, 19883, 29335, 692, 1038, 4849, 1401, 4003, 912, 2018, 1948, 952, 1022, 9868, 568, 9575, 454, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 25639, 1948, 10912, 1899, 11742, 535, 1075, 660, 542, 454, 2018, 1820, 3488, 5591, 6270, 11711, 10558, 17210, 1038, 3116, 912, 2018, 1948, 568, 1100, 5470, 568, 9575, 454, 2018, 1820, 3488, 5472, 634, 11483, 309, 28567, 10558, 538, 634, 30615, 3657, 1306, 7427, 338, 32473, 30386, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 2018, 1948, 16069, 519, 942, 585, 476, 271, 269, 276, 7643, 692, 2018, 3758, 8266, 815, 1835, 269, 4134, 335, 17572, 11243, 4590, 2018, 1948, 10912, 7006, 17572, 11243, 543, 26471, 3758, 8266, 609, 1592, 561, 692, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 692, 2018, 19883, 29335, 3488, 11514, 2452, 532, 28567, 10558, 769, 26417, 291, 17805, 5073, 2018, 19883, 29335, 31526, 8266, 994, 2018, 1948, 1210, 19883, 29335, 692, 2018, 4994, 17572, 815, 524, 328, 28827, 17572, 10831, 16325, 284, 271, 267, 561, 284, 12803, 8266, 264, 825, 1948, 10912, 4994, 17572, 10831, 1599, 543, 26471, 519, 1871, 540, 1535, 547, 4994, 17572, 692, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 4449, 567, 1948, 10912, 1899, 11742, 1599, 692, 2018, 3758, 12173, 815, 3758, 8266, 27709, 17572, 910, 476, 272, 316, 1341, 29717, 322, 12364, 28847, 2018, 19883, 29335, 6600, 262, 346, 12803, 12173, 348, 568, 519, 3758, 5697, 17210, 2018, 1110, 22710, 815, 15259, 14714, 520, 31526, 12173, 1040, 560, 8548, 5503, 476, 1948, 14842, 942, 692, 2018, 1820, 6600, 262, 19187, 2906, 540, 2715, 12803, 12173, 348, 32473, 8339, 22487, 263, 1839, 267, 1412, 1412, 11723, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 7386, 1948, 10912, 1899, 11742, 1599, 692, 2018, 1820, 6600, 262, 272, 269, 11711, 8745, 32473, 2715, 12803, 12173, 348, 5073, 2018, 942, 4732, 2748, 263, 271, 269, 276, 264, 4449, 19930, 1948, 16069, 519, 942, 585, 476, 271, 269, 276, 7643, 454, 2018, 1820, 6600, 262, 273, 269, 12025, 32473, 2715, 657, 14714, 520, 31526, 12173, 1040, 560, 15481, 348, 5073, 2018, 942, 4732, 2748, 263, 271, 269, 276, 264, 4449, 19930, 1948, 16069, 519, 942, 585, 476, 271, 269, 276, 7643, 454, 2018, 1820, 6600, 262, 274, 269, 3525, 2305, 5384, 32473, 2715, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 339, 574, 652, 2086, 263, 7116, 22710, 14587, 17210, 2018, 19883, 29335, 3488, 22033, 590, 792, 3481, 5073, 2018, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 10912, 1899, 11742, 1599, 692, 2018, 15259, 26716, 323, 597, 3488, 907, 10807, 16875, 1948, 862, 532, 1394, 689, 519, 15682, 454, 2018, 19883, 29335, 6600, 262, 346, 657, 10947, 322, 23424, 3890, 348, 568, 938, 1699, 2324, 15682, 10807, 672, 1948, 1210, 19883, 29335, 692, 1038, 1835, 269, 1467, 11742, 263, 5913, 284, 271, 269, 276, 264, 825, 1948, 1210, 1899, 11742, 1599, 454, 1038, 1835, 269, 10938, 318, 2750, 4003, 3890, 825, 1948, 10912, 4283, 318, 2750, 4003, 1599, 7531, 28128, 815, 26417, 2750, 1815, 1081, 3890, 2018, 1948, 1818, 606, 1843, 540, 26417, 2750, 322, 1081, 1362, 692, 258, 519, 1439, 540, 519, 1982, 454, 258, 5358, 4364, 1635, 32473, 6215, 1054, 995, 24859, 287, 277, 1321, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 267, 3738, 667, 264, 2715, 343, 347, 343, 3436, 910, 272, 348, 282, 11196, 272, 267, 12467, 8110, 845, 519, 8612, 5106, 563, 275, 264, 630, 279, 343, 1107, 476, 274, 264, 273, 454, 288, 264, 476, 279, 9943, 273, 1341, 476, 280, 454, 289, 264, 476, 5038, 9943, 273, 1341, 476, 280, 454, 290, 264, 476, 5038, 9943, 273, 1107, 476, 4366, 343, 1341, 476, 280, 454, 272, 454, 291, 264, 476, 279, 9943, 273, 1107, 476, 4366, 343, 1341, 476, 280, 454, 275, 994, 8245, 680, 1518, 519, 4082, 269, 3503, 519, 2626, 609, 1152, 2318, 23055, 269, 2353, 4632, 616, 1875, 14706, 563, 275, 454, 268, 272, 454, 276, 264, 630, 736, 9943, 273, 586, 275, 3738, 630, 275, 9943, 273, 586, 994, 16348, 476, 271, 454, 5038, 476, 277, 454, 5038, 476, 271, 454, 16348, 476, 277, 454, 343, 454, 343, 454, 343, 454, 343, 454, 288, 994, 289, 994, 290, 994, 291, 994, 276, 454, 276, 454, 276, 454, 276, 454, 8110, 845, 519, 8612, 5106, 269, 18124, 519, 2626, 538, 3621, 10035, 563, 277, 6398, 476, 1015, 910, 279, 454, 277, 994, 1321, 6398, 476, 9818, 454, 288, 264, 910, 272, 269, 274, 454, 289, 264, 476, 276, 269, 271, 6398, 476, 1015, 268, 1321, 454, 290, 264, 476, 272, 269, 278, 6398, 476, 10441, 454, 277, 994, 291, 264, 476, 274, 269, 271, 6398, 476, 10755, 454, 15542, 528, 519, 9971, 4625, 269, 1403, 519, 9971, 3112, 581, 1249, 1819, 267, 2161, 621, 568, 6305, 563, 278, 264, 476, 1626, 9943, 273, 1341, 476, 10037, 454, 288, 264, 630, 275, 343, 1341, 476, 280, 264, 273, 454, 279, 264, 476, 279, 9943, 273, 1341, 476, 1240, 343, 1341, 476, 280, 454, 288, 264, 630, 273, 343, 1107, 476, 274, 7565, 275, 343, 1107, 476, 274, 994, 288, 264, 2715, 271, 267, 476, 273, 267, 476, 274, 8679, 278, 994, 289, 264, 630, 275, 343, 1107, 476, 280, 264, 273, 454, 290, 264, 630, 275, 343, 1341, 476, 280, 7565, 275, 343, 1107, 476, 280, 994, 291, 264, 6305, 454, 289, 264, 630, 279, 343, 1341, 476, 274, 7565, 343, 1341, 476, 274, 994, 290, 264, 6305, 454, 291, 264, 630, 273, 343, 1341, 476, 274, 7565, 275, 343, 1341, 476, 274, 994, 289, 264, 2715, 268, 273, 267, 910, 274, 8679, 272, 454, 290, 264, 1107, 2073, 910, 274, 454, 273, 454, 24169, 519, 3830, 676, 28809, 563, 280, 264, 476, 736, 9943, 274, 1341, 476, 1911, 9943, 273, 1341, 476, 6344, 343, 815, 476, 271, 454, 276, 994, 279, 994, 280, 994, 291, 264, 2715, 271, 267, 910, 273, 267, 910, 274, 8679, 8110, 845, 519, 8612, 5106, 563, 1428, 9943, 275, 454, 1015, 994, 275, 9943, 274, 454, 288, 994, 1556, 994, 1015, 994, 1321, 9943, 273, 454, 736, 9943, 276, 454, 275, 9943, 275, 454, 1839, 454, 289, 994, 1839, 9943, 279, 454, 275, 454, 290, 994, 5197, 9943, 273, 454, 3199, 454, 291, 994, 1839, 9943, 275, 454, 275, 454, 343, 273, 454, 1015, 343, 1107, 476, 1626, 454, 273, 454, 343, 1107, 476, 5038, 454, 343, 273, 1107, 476, 5038, 454, 288, 994, 343, 268, 273, 454, 343, 266, 279, 454, 1556, 994, 289, 994, 343, 266, 279, 454, 343, 268, 273, 454, 290, 264, 3768, 18249, 454, 291, 264, 476, 271, 454, 8110, 845, 519, 8612, 5106, 543, 14458, 269, 27539, 782, 4632, 2099, 2318, 1483, 2338, 563, 1321, 264, 476, 278, 5788, 476, 5655, 454, 288, 264, 476, 278, 454, 289, 264, 476, 29848, 454, 290, 264, 476, 278, 476, 277, 454, 291, 264, 476, 5655, 454, 1724, 264, 630, 273, 476, 1724, 1341, 476, 280, 7565, 274, 476, 1724, 1341, 476, 279, 994, 1321, 994, 1724, 994, 288, 264, 476, 5611, 1341, 476, 6246, 476, 1724, 454, 289, 264, 476, 7761, 1341, 476, 277, 476, 15171, 1341, 476, 1626, 476, 1724, 454, 290, 264, 476, 11463, 476, 1724, 454, 291, 264, 476, 4281, 476, 1724, 1341, 476, 1626, 454, 273, 454, 8340, 562, 10490, 264, 585, 519, 1305, 563, 1691, 264, 589, 815, 2715, 273, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 2560, 267, 476, 277, 267, 476, 277, 8679, 288, 264, 562, 10490, 264, 815, 476, 277, 454, 289, 264, 562, 10490, 264, 815, 476, 274, 454, 290, 264, 562, 10490, 264, 815, 476, 1015, 454, 291, 264, 562, 10490, 264, 815, 476, 276, 454, 4131, 772, 815, 2715, 272, 267, 476, 273, 267, 476, 275, 267, 476, 276, 267, 513, 267, 536, 267, 524, 267, 546, 267, 552, 20467, 4855, 519, 9148, 540, 519, 1305, 563, 1428, 264, 654, 815, 2715, 272, 267, 476, 276, 267, 552, 267, 546, 267, 513, 8679, 288, 264, 2715, 273, 267, 476, 274, 267, 476, 275, 267, 513, 267, 536, 267, 524, 8679, 289, 264, 2715, 273, 267, 476, 275, 267, 536, 267, 524, 8679, 290, 264, 2715, 273, 267, 476, 274, 267, 476, 275, 267, 536, 267, 524, 8679, 291, 264, 2715, 272, 267, 476, 273, 267, 476, 275, 267, 536, 267, 524, 8679, 24169, 519, 1966, 563, 1626, 264, 5903, 782, 2009, 1697, 29162, 540, 519, 1305, 2715, 273, 267, 476, 277, 267, 476, 278, 348, 563, 288, 264, 2073, 2715, 273, 9574, 2715, 277, 9574, 2715, 278, 9574, 2715, 273, 267, 476, 277, 9574, 2715, 273, 267, 476, 278, 9574, 2715, 277, 267, 476, 278, 8679, 290, 264, 2715, 273, 9574, 2715, 277, 9574, 2715, 278, 9574, 2715, 273, 267, 476, 277, 9574, 2715, 273, 267, 476, 278, 9574, 2715, 277, 267, 476, 278, 8679, 289, 264, 2073, 2715, 273, 9574, 2715, 277, 9574, 2715, 278, 9574, 2715, 273, 267, 476, 277, 9574, 2715, 273, 267, 476, 278, 9574, 2715, 277, 267, 476, 278, 9574, 2715, 273, 267, 476, 277, 267, 476, 278, 8679, 291, 264, 2715, 273, 9574, 2715, 277, 9574, 2715, 278, 9574, 2715, 273, 267, 476, 277, 9574, 2715, 273, 267, 476, 278, 9574, 2715, 277, 267, 476, 278, 9574, 2715, 273, 267, 476, 277, 267, 476, 278, 8679, 1691, 994, 1428, 994, 1626, 994, 8266, 519, 2609, 538, 519, 1305, 4586, 4131, 772, 815, 2715, 336, 267, 678, 267, 521, 267, 512, 267, 579, 267, 642, 267, 530, 267, 1535, 267, 586, 267, 1990, 8679, 288, 815, 2715, 336, 267, 521, 267, 579, 267, 530, 267, 586, 8679, 289, 815, 2715, 336, 267, 521, 267, 586, 267, 1990, 8679, 290, 815, 2715, 341, 267, 530, 267, 1535, 267, 586, 267, 1990, 348, 563, 1704, 264, 589, 645, 20371, 288, 264, 2715, 337, 267, 521, 267, 512, 267, 579, 267, 642, 267, 530, 267, 1535, 267, 1990, 8679, 290, 264, 2715, 336, 267, 521, 267, 512, 267, 579, 267, 642, 267, 530, 267, 1535, 267, 586, 8679, 1704, 994, 289, 264, 2715, 340, 267, 530, 8679, 291, 264, 2715, 339, 267, 642, 267, 1535, 8679, 1240, 264, 589, 685, 1107, 595, 454, 288, 264, 2715, 336, 267, 521, 267, 579, 8679, 289, 264, 2715, 337, 267, 512, 8679, 290, 264, 2715, 341, 267, 1535, 267, 1990, 8679, 291, 264, 2715, 336, 267, 521, 267, 579, 267, 642, 267, 1535, 267, 1990, 8679, 866, 264, 589, 630, 289, 595, 994, 288, 264, 2715, 336, 267, 521, 267, 530, 267, 586, 8679, 289, 264, 2715, 336, 267, 521, 267, 579, 267, 530, 267, 586, 267, 1990, 8679, 290, 264, 2715, 336, 267, 678, 267, 530, 267, 586, 267, 1990, 8679, 291, 264, 2715, 336, 267, 586, 267, 1990, 8679, 4537, 1228, 519, 4525, 8204, 519, 1305, 563, 736, 264, 589, 685, 645, 20371, 1240, 994, 866, 994, 736, 994, 288, 994, 289, 994, 290, 994, 291, 994, 274, 454, 8340, 519, 29039, 1297, 540, 519, 1305, 563, 2641, 264, 634, 2338, 538, 519, 966, 3317, 12810, 2630, 2099, 29039, 885, 563, 2641, 994, 8340, 562, 10490, 645, 685, 1916, 288, 264, 476, 2190, 454, 289, 264, 476, 2764, 454, 290, 264, 476, 275, 454, 8340, 519, 29039, 1297, 540, 519, 8612, 1305, 269, 2422, 519, 29039, 1297, 4542, 563, 2420, 264, 1403, 562, 10490, 264, 815, 476, 2412, 267, 562, 16360, 264, 815, 476, 14056, 543, 562, 10490, 645, 264, 815, 476, 15389, 267, 1018, 568, 562, 10490, 645, 25145, 288, 264, 476, 2568, 454, 289, 264, 476, 2420, 454, 290, 264, 476, 736, 454, 291, 264, 476, 736, 454, 291, 264, 476, 1015, 454, 24169, 519, 1966, 563, 2537, 264, 769, 513, 5619, 540, 476, 18231, 1004, 267, 513, 2951, 2754, 4280, 1004, 827, 4025, 789, 1544, 547, 3643, 538, 519, 1985, 454, 276, 1296, 269, 634, 2164, 941, 607, 5205, 912, 4366, 1544, 547, 3643, 2342, 454, 6812, 1544, 547, 3643, 5824, 3013, 454, 4097, 1544, 547, 3643, 5607, 454, 1691, 1544, 547, 3643, 2342, 543, 5824, 3013, 454, 1321, 1544, 547, 3643, 5824, 3013, 543, 5607, 454, 1556, 1544, 547, 3643, 2342, 543, 5607, 454, 275, 1544, 547, 3643, 782, 1614, 454, 1692, 1082, 1004, 1544, 547, 3643, 4010, 1079, 540, 891, 4025, 888, 288, 264, 476, 4391, 454, 289, 264, 476, 1839, 454, 290, 264, 476, 1240, 454, 2537, 994, 291, 264, 476, 3066, 454, 3519, 3200, 519, 12572, 7623, 3948, 883, 1913, 563, 2190, 264, 533, 4564, 519, 3948, 2433, 968, 343, 2999, 476, 273, 257, 7117, 4564, 519, 3948, 281, 834, 344, 3436, 476, 273, 16357, 454, 9558, 17218, 519, 1739, 7623, 3948, 883, 1913, 912, 335, 9625, 336, 454, 288, 264, 1535, 568, 1447, 982, 476, 273, 543, 586, 568, 711, 3152, 982, 476, 273, 563, 290, 264, 1535, 568, 1447, 982, 476, 273, 610, 586, 568, 711, 3152, 982, 476, 273, 563, 2420, 994, 2190, 994, 289, 264, 1535, 568, 1447, 982, 476, 273, 610, 586, 568, 1447, 982, 476, 273, 563, 291, 264, 1535, 568, 711, 1447, 982, 476, 273, 543, 586, 568, 711, 1447, 982, 476, 273, 563, 4131, 533, 2099, 513, 3020, 3948, 267, 1247, 7117, 543, 678, 2099, 7301, 6898, 269, 4855, 519, 5168, 1871, 540, 519, 7623, 454, 8063, 618, 563, 1839, 264, 630, 335, 9625, 336, 264, 678, 454, 1839, 994, 288, 264, 8771, 454, 289, 264, 6936, 454, 4131, 533, 2099, 476, 278, 2999, 476, 279, 267, 7117, 2099, 476, 273, 2999, 476, 276, 2999, 476, 277, 267, 543, 678, 2099, 476, 274, 2999, 476, 273, 269, 32341, 2436, 519, 3948, 568, 3020, 610, 7301, 269, 476, 2918, 264, 630, 349, 335, 7117, 264, 9625, 337, 476, 2918, 264, 589, 264, 8771, 645, 264, 6936, 476, 275, 20472, 513, 5168, 3349, 585, 519, 3948, 269, 476, 2767, 264, 9625, 338, 630, 349, 335, 521, 264, 589, 264, 521, 533, 9625, 338, 630, 349, 335, 521, 264, 570, 570, 674, 674, 595, 264, 521, 570, 674, 570, 674, 533, 570, 570, 674, 674, 570, 674, 570, 674, 674, 674, 570, 570, 9625, 338, 630, 349, 335, 521, 264, 570, 570, 570, 570, 645, 264, 521, 533, 9625, 338, 630, 349, 335, 521, 264, 570, 570, 674, 674, 667, 264, 521, 570, 674, 570, 674, 533, 674, 570, 570, 570, 9625, 338, 630, 349, 335, 521, 264, 570, 570, 674, 674, 570, 674, 570, 674, 570, 674, 570, 570, 15681, 2436, 519, 19585, 3948, 568, 3020, 610, 7301, 269, 476, 2764, 264, 630, 276, 815, 476, 276, 264, 630, 275, 815, 476, 274, 264, 589, 264, 6936, 645, 264, 8771, 20472, 513, 5168, 3349, 585, 519, 3948, 269, 476, 3066, 264, 9625, 338, 630, 349, 338, 7117, 264, 589, 264, 521, 7117, 9625, 338, 630, 349, 338, 7117, 264, 645, 264, 521, 7117, 9625, 338, 630, 349, 338, 7117, 264, 570, 570, 674, 674, 667, 264, 521, 570, 674, 570, 674, 7117, 570, 570, 570, 570, 9625, 338, 630, 349, 338, 7117, 264, 570, 570, 674, 674, 570, 674, 570, 674, 570, 570, 674, 674, 595, 264, 521, 570, 674, 570, 674, 7117, 570, 570, 674, 674, 570, 674, 570, 674, 570, 570, 570, 674, 9625, 338, 630, 349, 338, 7117, 264, 674, 674, 570, 674, 476, 2764, 264, 476, 3066, 264, 570, 674, 570, 674, 3503, 519, 598, 2091, 267, 11201, 267, 610, 15333, 27168, 540, 519, 3948, 607, 16761, 269, 476, 1789, 264, 1403, 596, 899, 803, 267, 1287, 594, 899, 596, 269, 1230, 2091, 589, 264, 1403, 594, 899, 596, 267, 1287, 596, 899, 803, 269, 595, 264, 1403, 596, 1810, 1405, 899, 803, 267, 594, 1810, 1405, 899, 596, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 3977, 815, 1412, 287, 8339, 21860, 9272, 24552, 994, 825, 2132, 3977, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3403, 815, 1412, 296, 899, 9226, 7055, 825, 678, 342, 815, 9258, 24552, 9272, 994, 825, 1820, 16868, 342, 2020, 30700, 815, 27835, 25402, 3299, 1412, 297, 574, 3299, 1412, 27746, 3299, 1412, 25402, 3299, 1412, 297, 820, 3299, 1412, 305, 846, 262, 8679, 2745, 263, 30700, 264, 1948, 27447, 24731, 421, 505, 484, 12571, 486, 8147, 19404, 491, 14035, 491, 7511, 30317, 27381, 510, 420, 351, 360, 420, 485, 359, 20693, 357, 31308, 375, 26406, 487, 692, 258, 29873, 417, 495, 502, 418, 369, 489, 13644, 499, 454, 604, 1412, 305, 846, 262, 538, 2875, 10778, 825, 1820, 3488, 305, 846, 21928, 421, 505, 484, 12571, 486, 18809, 5073, 12828, 912, 825, 1820, 3488, 305, 846, 21251, 21928, 421, 505, 484, 12571, 486, 18809, 5073, 8931, 258, 1305, 23746, 23284, 13213, 505, 27310, 421, 505, 484, 12571, 486, 13213, 494, 28997, 501, 454, 320, 815, 1305, 3488, 629, 571, 629, 571, 629, 7251, 5073, 321, 815, 1305, 3488, 531, 659, 1794, 600, 5073, 2745, 5416, 994, 2745, 5416, 910, 536, 264, 1948, 513, 25520, 321, 7511, 26266, 362, 421, 505, 484, 454, 2745, 5416, 1923, 536, 264, 1948, 513, 25520, 321, 7511, 23946, 370, 421, 505, 484, 454, 2745, 5416, 1299, 536, 264, 1948, 513, 25520, 321, 7511, 11590, 353, 421, 505, 484, 454, 2745, 5416, 9745, 536, 264, 1948, 513, 25520, 321, 18809, 21251, 12571, 490, 28793, 11858, 502, 21928, 7511, 30317, 27381, 510, 454, 258, 524, 815, 1305, 3488, 29582, 12887, 629, 323, 5073, 258, 1820, 6262, 2020, 18743, 815, 31460, 18743, 9131, 821, 11172, 815, 1412, 272, 910, 30085, 7055, 18743, 314, 273, 316, 815, 1412, 273, 910, 586, 10224, 28847, 16769, 18380, 815, 27835, 4067, 9166, 262, 19333, 1195, 10224, 3299, 1412, 13892, 9166, 272, 267, 1412, 326, 648, 9166, 1911, 10926, 2745, 5560, 1112, 9131, 821, 262, 7481, 2745, 5560, 1112, 314, 273, 7481, 2745, 263, 16769, 18380, 994, 2745, 9230, 16769, 18380, 269, 12399, 3890, 4917, 2745, 263, 16769, 18380, 269, 11161, 31156, 258, 1948, 24425, 23591, 24800, 270, 7090, 274, 692, 258, 1104, 19523, 692, 258, 1219, 4017, 20906, 3799, 2187, 258, 672, 513, 14720, 22698, 3300, 815, 476, 271, 267, 476, 272, 267, 476, 271, 454, 258, 672, 1247, 6936, 912, 258, 1363, 952, 6262, 3300, 3436, 562, 2187, 258, 17264, 2132, 454, 258, 1363, 6556, 513, 454, 258, 1363, 513, 267, 536, 815, 536, 267, 513, 17070, 454, 258, 1363, 4831, 6834, 476, 272, 454, 258, 535, 815, 4017, 20906, 263, 1015, 2020, 258, 1247, 6936, 912, 258, 672, 2119, 912, 258, 1363, 1820, 263, 10113, 6600, 1070, 1439, 6889, 19515, 258, 672, 4849, 17547, 296, 614, 566, 912, 258, 1363, 19523, 20216, 527, 30800, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1015, 2187, 825, 585, 795, 538, 2039, 263, 272, 267, 1775, 266, 272, 2187, 1038, 1820, 3488, 24001, 343, 346, 13157, 346, 4153, 339, 8339, 8971, 27203, 267, 1775, 267, 1775, 265, 329, 1070, 1439, 8782, 5073, 825, 1820, 4590, 0, 258, 595, 14008, 670, 1716, 663, 14162, 476, 8146, 276, 5392, 275, 454, 5814, 2979, 692, 13665, 318, 19417, 815, 10581, 9272, 3488, 11767, 3774, 4463, 630, 10623, 564, 2567, 315, 333, 29125, 13665, 318, 12296, 815, 10581, 9272, 3488, 11767, 3774, 8700, 630, 10623, 564, 2567, 315, 333, 29125, 13665, 318, 19327, 815, 3774, 318, 12296, 265, 13665, 318, 19417, 454, 16225, 720, 815, 476, 12573, 692, 2745, 3488, 310, 718, 1858, 281, 3299, 703, 263, 13665, 318, 19327, 1070, 834, 338, 13645, 3952, 5602, 2745, 3488, 303, 5593, 2877, 281, 3299, 1412, 346, 15545, 273, 325, 348, 8339, 8971, 263, 13665, 318, 19327, 11305, 1478, 720, 1070, 1412, 326, 718, 976, 5073, 2745, 3488, 290, 753, 2877, 281, 3299, 2979, 269, 576, 559, 263, 13665, 318, 19327, 11305, 1478, 720, 1070, 1412, 4754, 4433, 264, 17210, 3712, 832, 815, 13634, 825, 1412, 1042, 9166, 476, 3374, 2676, 825, 1412, 19990, 9166, 476, 1839, 2676, 825, 1412, 13582, 9166, 476, 2537, 454, 10926, 10233, 815, 3403, 28361, 333, 16521, 513, 2681, 547, 5862, 519, 3774, 24097, 333, 17210, 704, 318, 4754, 815, 4778, 314, 10233, 316, 16732, 4118, 269, 576, 559, 263, 13665, 318, 19327, 11305, 1478, 720, 11723, 2745, 3488, 21798, 540, 11449, 3299, 2681, 267, 1412, 335, 5593, 281, 1269, 262, 1341, 1193, 263, 704, 318, 4754, 4297, 0, 26611, 16535, 270, 7090, 274, 692, 5228, 14854, 1104, 27661, 5228, 4351, 1104, 2608, 19638, 3698, 4351, 3712, 712, 10031, 476, 2699, 815, 28219, 842, 263, 271, 267, 476, 14838, 994, 476, 3039, 815, 28219, 842, 263, 271, 267, 476, 14838, 994, 476, 4544, 815, 28219, 842, 263, 271, 267, 476, 14838, 994, 476, 2681, 263, 1042, 267, 3039, 267, 4544, 2020, 3698, 4351, 2897, 10031, 476, 4050, 1575, 4590, 476, 1535, 815, 28219, 842, 8987, 1911, 267, 476, 1911, 994, 476, 586, 815, 28219, 842, 8987, 1911, 267, 476, 1911, 994, 476, 3893, 334, 3287, 267, 586, 994, 476, 20805, 1144, 10797, 3698, 4351, 3650, 532, 10031, 476, 4287, 815, 28219, 842, 263, 272, 267, 476, 11740, 994, 476, 1305, 3650, 532, 5560, 3925, 2020, 3698, 2721, 5550, 4120, 10031, 476, 4351, 3712, 712, 4590, 476, 4351, 2897, 4590, 476, 554, 573, 564, 31103, 4590, 476, 3259, 815, 28219, 842, 263, 1015, 267, 476, 1911, 994, 476, 4463, 815, 28219, 842, 263, 1015, 267, 476, 1911, 994, 476, 2253, 6958, 650, 4590, 476, 4464, 10857, 2654, 994, 476, 1318, 263, 3445, 994, 476, 4464, 263, 19417, 994, 476, 1318, 263, 3445, 994, 476, 4464, 10857, 2654, 994, 476, 1318, 263, 3445, 994, 476, 4464, 263, 19417, 994, 476, 1318, 263, 3445, 994, 476, 1439, 6958, 650, 10797, 3698, 2721, 28588, 263, 2567, 3097, 476, 4351, 3712, 712, 4590, 476, 4351, 2897, 4590, 476, 4351, 3650, 532, 4590, 476, 2253, 6958, 650, 4590, 476, 585, 2427, 538, 2039, 263, 276, 2187, 825, 2451, 263, 13893, 994, 825, 4464, 263, 2004, 994, 476, 1439, 6958, 650, 4590, 22322, 3698, 2721, 28256, 4120, 10031, 476, 4351, 3712, 712, 4590, 476, 4351, 2897, 4590, 476, 4351, 3650, 532, 4590, 476, 2253, 6958, 650, 4590, 476, 585, 2427, 538, 2039, 263, 274, 2187, 825, 2451, 263, 2004, 994, 825, 4464, 263, 2004, 994, 476, 1439, 6958, 650, 10797, 7531, 22322, 258, 27729, 2891, 339, 31103, 5602, 258, 12690, 3712, 712, 4590, 258, 12690, 2897, 4590, 258, 12690, 3650, 532, 4590, 258, 560, 2086, 4590, 258, 12690, 3712, 712, 4590, 258, 12690, 2897, 4590, 258, 12690, 3650, 532, 4590, 258, 560, 2086, 10797, 27234, 4590, 3553, 3650, 532, 263, 271, 994, 14588, 539, 263, 1015, 2020, 2745, 3488, 1692, 1082, 6801, 270, 5550, 9201, 798, 596, 1616, 286, 630, 324, 3052, 269, 9373, 532, 476, 272, 786, 2721, 476, 272, 13551, 543, 476, 272, 5182, 4700, 30386, 6011, 28236, 815, 3403, 4590, 6011, 28236, 815, 703, 263, 6011, 28236, 2020, 1721, 1775, 538, 2039, 263, 6011, 28236, 2187, 476, 2721, 5550, 4120, 4590, 476, 2721, 28588, 4590, 476, 2721, 28256, 4120, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1858, 540, 519, 6906, 269, 1858, 540, 4137, 281, 476, 23056, 1107, 476, 1015, 269, 10219, 22933, 364, 9881, 486, 476, 1708, 269, 273, 10264, 273, 692, 3607, 269, 7151, 476, 273, 281, 15531, 519, 19791, 540, 1290, 22683, 22955, 676, 16265, 24219, 4855, 519, 26484, 1858, 269, 18471, 547, 519, 14282, 20870, 267, 952, 2556, 269, 1858, 540, 5858, 281, 589, 815, 19569, 364, 337, 273, 815, 19569, 364, 263, 1015, 264, 273, 815, 476, 1911, 22933, 364, 4699, 273, 1858, 540, 25671, 1355, 281, 1858, 540, 4137, 281, 476, 1911, 22933, 364, 1107, 12553, 25104, 375, 476, 5908, 269, 273, 4699, 273, 692, 4391, 269, 2201, 707, 1378, 256, 1948, 476, 273, 4855, 519, 26484, 1858, 269, 18471, 547, 519, 14282, 20870, 267, 952, 2556, 269, 1858, 540, 5858, 281, 589, 815, 19569, 364, 337, 273, 815, 19569, 364, 263, 274, 264, 273, 27949, 375, 476, 2764, 269, 274, 538, 273, 1858, 540, 4009, 281, 589, 815, 536, 327, 27949, 375, 630, 275, 269, 2190, 7565, 275, 269, 2190, 264, 25104, 375, 476, 1240, 538, 273, 1858, 540, 4137, 281, 476, 2764, 269, 274, 1107, 476, 1240, 815, 476, 1015, 269, 274, 538, 273, 692, 4343, 269, 7151, 476, 274, 281, 28577, 13335, 589, 2754, 11392, 606, 1931, 585, 476, 4792, 4773, 540, 5958, 538, 519, 2016, 3337, 269, 3962, 4062, 568, 547, 581, 10085, 539, 2699, 269, 1677, 20004, 476, 277, 538, 273, 540, 5958, 267, 476, 273, 12063, 540, 20004, 568, 2877, 269, 1215, 1454, 20004, 568, 2877, 585, 519, 3003, 1931, 286, 1677, 1265, 519, 1858, 540, 519, 3337, 538, 4009, 6279, 267, 7941, 519, 3337, 883, 2694, 269, 634, 1079, 3368, 10580, 723, 519, 1482, 1858, 607, 835, 5858, 780, 4375, 269, 7151, 476, 274, 8033, 4240, 634, 1858, 540, 519, 5858, 568, 19569, 364, 263, 272, 269, 276, 264, 273, 815, 476, 273, 269, 1839, 22933, 364, 538, 273, 269, 634, 1858, 540, 519, 4009, 568, 630, 274, 264, 273, 815, 476, 280, 538, 273, 269, 634, 2698, 1858, 540, 519, 3337, 568, 476, 273, 269, 1839, 22933, 364, 1341, 476, 280, 9881, 486, 476, 1626, 269, 272, 538, 273, 269, 634, 2698, 1858, 540, 519, 476, 4792, 4773, 568, 476, 4792, 263, 1626, 269, 272, 264, 9881, 486, 476, 10441, 275, 269, 276, 538, 273, 269, 634, 2754, 786, 991, 476, 10441, 275, 269, 276, 9881, 486, 476, 4097, 279, 12063, 540, 20004, 585, 519, 3003, 1931, 780, 2412, 269, 2201, 707, 1378, 256, 1948, 476, 274, 634, 15989, 602, 15576, 773, 568, 13868, 3340, 476, 8064, 17529, 540, 1216, 829, 4009, 3723, 829, 1032, 269, 1215, 1454, 1216, 786, 15576, 773, 4688, 676, 9544, 519, 1535, 518, 529, 3874, 4677, 286, 9351, 2053, 17529, 540, 1216, 476, 23841, 269, 4037, 263, 8064, 264, 815, 476, 3066, 267, 6924, 275, 269, 1839, 16265, 847, 1216, 1031, 476, 3066, 267, 6924, 275, 269, 1839, 1107, 476, 277, 267, 4343, 278, 269, 4037, 815, 476, 2537, 267, 30640, 269, 276, 17529, 10710, 780, 6078, 269, 1677, 7447, 519, 1858, 540, 606, 12150, 3337, 267, 596, 666, 3006, 946, 513, 12432, 4137, 269, 3689, 267, 2721, 513, 12432, 4137, 602, 20998, 519, 12150, 3337, 269, 3973, 7941, 519, 12432, 4137, 883, 2241, 5546, 780, 5655, 269, 7151, 476, 275, 281, 6480, 26305, 19791, 540, 7054, 10585, 25609, 2422, 513, 12432, 4137, 547, 7447, 519, 26484, 1858, 269, 634, 7470, 814, 10945, 609, 513, 2427, 3259, 540, 476, 272, 10264, 269, 8571, 513, 12432, 4137, 602, 4114, 23660, 519, 12150, 3337, 269, 4855, 519, 1858, 540, 1142, 851, 540, 519, 12432, 4137, 780, 6246, 269, 7151, 476, 275, 8033, 4240, 1858, 540, 6906, 513, 281, 1858, 540, 6906, 536, 281, 1858, 540, 13551, 524, 281, 589, 815, 536, 327, 815, 630, 273, 7565, 272, 264, 815, 476, 273, 10264, 273, 1858, 540, 25671, 1355, 546, 281, 9351, 540, 12432, 4137, 281, 476, 272, 1341, 476, 271, 269, 276, 1341, 476, 273, 1341, 476, 272, 269, 276, 815, 476, 276, 10264, 273, 634, 26484, 1858, 568, 827, 476, 276, 10264, 273, 780, 4510, 269, 2201, 707, 1378, 256, 1948, 275, 2422, 513, 12432, 4137, 547, 7447, 519, 26484, 1858, 269, 634, 7470, 814, 10945, 609, 2427, 13080, 540, 476, 272, 10264, 269, 8571, 513, 12432, 4137, 602, 4114, 23660, 519, 12150, 3337, 269, 4855, 519, 1858, 540, 1142, 851, 540, 519, 12432, 4137, 780, 3393, 269, 2201, 707, 1378, 256, 1948, 275, 8033, 4240, 1858, 540, 6906, 281, 1858, 540, 3368, 5858, 281, 1858, 540, 13551, 281, 589, 815, 561, 342, 815, 630, 274, 7565, 273, 264, 815, 476, 277, 10264, 273, 634, 26484, 1858, 568, 827, 476, 1321, 10264, 273, 780, 5379, 269, 7689, 13658, 281, 3487, 594, 4855, 519, 26484, 1858, 269, 18471, 547, 519, 14282, 20870, 267, 952, 2556, 269, 476, 272, 269, 476, 273, 780, 5325, 269, 7689, 13658, 281, 3487, 4083, 476, 274, 269, 19375, 568, 28889, 9934, 1010, 10051, 269, 634, 4831, 9008, 646, 6499, 3790, 8096, 273, 269, 3583, 829, 4009, 3723, 269, 1215, 1454, 786, 19375, 723, 547, 6108, 593, 1010, 28889, 9934, 1788, 2496, 4366, 269, 476, 280, 268, 275, 13628, 476, 274, 270, 2641, 0, 3583, 272, 277, 692, 278, 267, 28318, 630, 572, 1597, 8536, 28465, 264, 568, 606, 1256, 2185, 1673, 580, 1080, 12432, 1297, 1739, 476, 3583, 272, 276, 543, 18631, 476, 3583, 272, 278, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 278, 269, 28318, 6398, 476, 9818, 269, 634, 2040, 540, 922, 9704, 568, 476, 1691, 269, 898, 814, 513, 2698, 540, 476, 275, 6305, 2188, 543, 476, 279, 2318, 16975, 269, 1703, 616, 476, 274, 267, 27843, 2318, 9981, 630, 1575, 547, 476, 3583, 272, 277, 264, 602, 616, 5266, 6305, 547, 476, 3583, 272, 277, 780, 21995, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 275, 454, 1892, 5681, 540, 6226, 1080, 476, 1691, 454, 1892, 7913, 17848, 476, 276, 692, 11243, 692, 14112, 2012, 476, 278, 8536, 476, 1626, 5722, 8536, 28465, 692, 8253, 566, 692, 26199, 10035, 476, 278, 269, 28318, 6398, 476, 9818, 476, 278, 269, 28318, 6398, 476, 9818, 692, 28269, 16748, 1436, 540, 476, 3583, 272, 277, 692, 28269, 16748, 1436, 476, 2537, 6398, 476, 279, 6507, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 273, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 275, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 11260, 275, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 278, 267, 28318, 568, 476, 2537, 6398, 476, 279, 6507, 269, 4595, 621, 814, 513, 2698, 540, 476, 275, 6305, 2188, 267, 476, 278, 267, 28318, 568, 513, 12432, 1297, 780, 19667, 30583, 540, 476, 3583, 272, 277, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 279, 267, 476, 279, 6507, 267, 476, 11260, 275, 267, 476, 12573, 279, 267, 476, 3583, 272, 277, 692, 279, 16975, 692, 4634, 16975, 476, 277, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 279, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 14530, 3583, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 277, 1428, 275, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 13932, 277, 269, 1839, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 10695, 269, 278, 8618, 277, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 275, 269, 28360, 10037, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 278, 267, 28318, 666, 581, 5258, 676, 476, 279, 2318, 16975, 630, 719, 540, 799, 476, 277, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 278, 267, 28318, 264, 568, 476, 1724, 267, 10204, 267, 519, 3328, 568, 476, 272, 267, 5038, 277, 11783, 1839, 780, 8448, 25226, 12793, 630, 333, 815, 476, 3583, 272, 277, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 12573, 275, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 9262, 277, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 3445, 274, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 274, 267, 27843, 2318, 9981, 630, 1652, 982, 476, 278, 267, 28318, 264, 602, 616, 2941, 31870, 609, 476, 278, 267, 28318, 269, 1656, 972, 616, 5111, 476, 3445, 274, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 278, 267, 28318, 780, 19667, 529, 2225, 540, 476, 3583, 272, 277, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 273, 476, 271, 476, 272, 476, 273, 476, 273, 476, 271, 476, 276, 692, 763, 1297, 476, 278, 267, 28318, 568, 16883, 676, 476, 273, 267, 476, 275, 543, 476, 279, 780, 1892, 4676, 18503, 762, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 26015, 7503, 630, 3583, 272, 277, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 8099, 8099, 8099, 1911, 271, 454, 274, 570, 1716, 776, 476, 1911, 13199, 18891, 454, 275, 2372, 15715, 776, 476, 11277, 14338, 271, 454, 276, 2372, 2435, 476, 21076, 31648, 454, 277, 7354, 776, 476, 276, 2420, 7367, 454, 279, 4239, 531, 476, 14028, 2004, 454, 1015, 27252, 476, 3583, 272, 277, 454, 1321, 13660, 1712, 31565, 476, 2412, 279, 279, 454, 736, 966, 580, 525, 2711, 688, 326, 454, 3607, 12476, 3607, 476, 276, 1168, 692, 21995, 9273, 630, 333, 815, 476, 3583, 272, 277, 2020, 25648, 6473, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 9610, 3953, 476, 13975, 4366, 476, 18231, 5038, 476, 12573, 3199, 692, 19667, 1707, 692, 14269, 454, 562, 22397, 482, 273, 476, 12573, 279, 476, 22001, 279, 269, 6858, 476, 11260, 275, 476, 9610, 274, 269, 273, 692, 22091, 9426, 2747, 692, 14269, 454, 562, 273, 476, 5392, 273, 26237, 6321, 476, 24833, 3374, 278, 23884, 6021, 277, 476, 26237, 23714, 278, 4391, 279, 4037, 31874, 277, 476, 15433, 15886, 7785, 8660, 274, 4097, 279, 5400, 276, 10602, 692, 301, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 10695, 269, 278, 8618, 277, 476, 866, 269, 16960, 280, 476, 280, 269, 13923, 1724, 476, 276, 269, 279, 6507, 10019, 692, 3583, 272, 277, 607, 12166, 5546, 692, 290, 22511, 692, 18924, 2678, 476, 9610, 3953, 476, 24496, 11025, 269, 279, 476, 272, 269, 276, 5379, 6246, 324, 266, 5400, 692, 8967, 1877, 692, 11730, 476, 272, 269, 4510, 277, 8287, 324, 266, 1321, 476, 277, 269, 6977, 278, 324, 266, 5400, 476, 24496, 11025, 269, 279, 692, 306, 13645, 692, 21920, 815, 562, 454, 32309, 476, 18231, 5038, 476, 275, 269, 280, 2420, 6246, 324, 266, 5881, 476, 4200, 273, 273, 269, 1321, 692, 290, 4209, 692, 21920, 815, 562, 454, 17183, 1858, 476, 273, 269, 4817, 274, 5379, 324, 266, 5400, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 28982, 267, 11518, 910, 634, 715, 8656, 2839, 267, 22078, 295, 543, 15509, 2626, 547, 1169, 454, 323, 1047, 848, 267, 834, 341, 3147, 710, 10590, 594, 4898, 1141, 519, 6669, 4152, 568, 2469, 454, 1729, 1491, 1747, 286, 4024, 670, 276, 301, 272, 6669, 581, 267, 2943, 267, 1776, 6669, 7142, 593, 519, 454, 268, 3657, 649, 3478, 7961, 1495, 730, 609, 29057, 344, 2984, 827, 713, 454, 12704, 2770, 3274, 547, 1683, 513, 2344, 585, 519, 1007, 14232, 589, 1203, 529, 30854, 584, 454, 268, 670, 276, 301, 272, 814, 1044, 609, 721, 2094, 621, 729, 1101, 9678, 538, 454, 21026, 4000, 538, 476, 3422, 272, 269, 898, 1705, 723, 513, 15817, 538, 476, 1960, 278, 267, 2705, 267, 602, 729, 454, 12898, 972, 1185, 1044, 1454, 1382, 593, 713, 1880, 26624, 14798, 563, 268, 594, 1175, 1810, 1405, 3494, 602, 649, 786, 834, 31553, 4840, 10472, 6177, 2770, 676, 11318, 1055, 5017, 543, 535, 25717, 543, 3945, 3215, 3425, 563, 268, 4793, 878, 807, 667, 1195, 548, 454, 268, 16819, 12071, 17261, 1149, 1677, 2142, 4530, 539, 454, 268, 1635, 11969, 20462, 552, 269, 5576, 13232, 454, 268, 23105, 4964, 454, 268, 654, 23808, 5058, 307, 2177, 630, 4338, 264, 910, 27933, 25680, 454, 342, 7568, 902, 540, 606, 7489, 6855, 267, 519, 2229, 568, 8600, 547, 1449, 606, 8097, 454, 12704, 2770, 6669, 543, 568, 2810, 2068, 13178, 538, 13922, 540, 4227, 454, 1492, 17167, 689, 1022, 22638, 1977, 12176, 563, 268, 4165, 643, 12637, 5061, 616, 1373, 6006, 335, 6150, 1175, 538, 2013, 267, 543, 454, 273, 2929, 13066, 540, 6669, 616, 1373, 6740, 538, 13557, 1106, 563, 268, 2136, 8315, 8387, 19230, 593, 13723, 602, 519, 454, 2026, 1014, 6177, 2770, 12176, 13514, 519, 834, 6588, 4034, 2009, 8594, 257, 540, 454, 2041, 5765, 513, 2518, 6855, 563, 268, 3220, 269, 7325, 773, 15168, 828, 3429, 267, 8689, 540, 519, 5313, 15544, 454, 1721, 8376, 6513, 543, 10644, 267, 5143, 519, 2817, 4964, 11833, 713, 3018, 454, 7474, 834, 527, 568, 513, 702, 5142, 727, 3510, 2437, 1498, 1352, 849, 1767, 519, 454, 18197, 2276, 834, 529, 711, 5612, 593, 519, 1490, 1074, 540, 606, 26624, 2770, 15435, 4799, 268, 634, 2770, 814, 4299, 16738, 538, 5216, 7489, 2477, 2676, 5976, 476, 3393, 1480, 7972, 1851, 1004, 945, 9575, 519, 4576, 267, 513, 8833, 540, 2770, 454, 4385, 607, 670, 276, 301, 272, 563, 268, 1924, 2484, 267, 3425, 2408, 547, 723, 9575, 713, 2770, 689, 17944, 454, 663, 824, 16738, 267, 543, 519, 3644, 568, 711, 1634, 547, 723, 3262, 689, 1268, 454, 268, 1548, 1072, 8128, 1034, 4250, 568, 602, 519, 3644, 786, 454, 332, 583, 622, 883, 513, 1106, 602, 666, 1780, 3362, 689, 835, 1480, 547, 1776, 269, 2334, 781, 454, 15290, 513, 2518, 3463, 1131, 581, 1034, 2693, 563, 268, 634, 14686, 2770, 540, 476, 4489, 279, 267, 799, 7166, 689, 476, 736, 2929, 454, 1729, 476, 2004, 2929, 1004, 5001, 267, 4769, 1405, 2408, 10393, 855, 4573, 730, 7930, 454, 20041, 519, 4666, 17067, 1106, 267, 15168, 828, 3429, 6045, 563, 268, 834, 6546, 781, 1946, 621, 781, 1271, 547, 723, 2770, 6669, 543, 454, 656, 643, 597, 1023, 267, 547, 581, 4712, 547, 2746, 950, 621, 6238, 547, 10836, 2437, 1352, 1767, 563, 268, 634, 1101, 13066, 540, 606, 8097, 6669, 616, 3592, 454, 2819, 585, 4152, 267, 27179, 5061, 616, 1373, 6006, 335, 6150, 267, 543, 519, 2229, 454, 13757, 2799, 2068, 13178, 543, 9450, 1382, 3292, 563, 268, 634, 1007, 6669, 729, 5423, 538, 1079, 1114, 9830, 454, 268, 476, 275, 267, 1822, 13066, 1142, 910, 543, 568, 5176, 4712, 547, 581, 25855, 547, 519, 2817, 454, 9743, 3482, 585, 30665, 543, 29956, 15302, 585, 4791, 8062, 267, 22255, 454, 299, 822, 12629, 267, 513, 22557, 2006, 585, 519, 14453, 6109, 589, 1203, 529, 30854, 584, 267, 1767, 454, 268, 715, 8656, 2839, 1705, 711, 2132, 1896, 7125, 6998, 827, 519, 4567, 454, 1993, 519, 8062, 563, 268, 769, 1840, 547, 519, 6669, 16516, 585, 8062, 267, 589, 1203, 529, 454, 303, 4292, 584, 814, 3812, 476, 273, 2929, 13066, 540, 13557, 26624, 2770, 6669, 267, 30225, 12629, 454, 338, 4660, 269, 634, 6669, 568, 1373, 16913, 585, 1494, 1890, 547, 3313, 952, 971, 10074, 454, 4754, 581, 3812, 538, 4434, 543, 6740, 2394, 2877, 267, 646, 1767, 563, 268, 769, 2342, 267, 513, 1982, 1572, 4469, 1575, 534, 568, 896, 1259, 609, 454, 288, 1203, 529, 267, 3864, 5742, 8041, 543, 519, 2160, 540, 7335, 538, 4789, 454, 11529, 593, 513, 2770, 6669, 585, 4791, 1353, 563, 268, 15509, 22557, 2006, 8751, 16164, 1676, 1767, 602, 8116, 814, 513, 6006, 335, 850, 454, 1993, 27179, 5061, 602, 1223, 581, 1031, 538, 519, 2680, 540, 513, 6855, 267, 4470, 454, 517, 519, 3644, 602, 19674, 563, 268, 15509, 814, 849, 2799, 922, 13178, 540, 519, 2770, 267, 609, 454, 560, 3530, 619, 18611, 547, 5607, 547, 960, 609, 519, 2622, 2657, 9257, 547, 454, 3000, 3218, 519, 2068, 563, 268, 634, 2068, 814, 7902, 538, 16738, 538, 25591, 267, 3624, 2676, 5715, 2158, 807, 267, 3567, 267, 5487, 657, 267, 3162, 9705, 267, 17289, 543, 10476, 563, 268, 769, 606, 4674, 547, 6952, 1022, 772, 2529, 269, 2665, 2038, 267, 15509, 814, 30409, 454, 8063, 543, 2199, 1072, 13623, 267, 10506, 543, 7189, 267, 28409, 873, 454, 1729, 2307, 827, 2487, 2951, 676, 1004, 609, 2770, 2589, 563, 268, 898, 1572, 585, 4152, 2550, 585, 519, 6177, 2770, 952, 789, 454, 17647, 1044, 538, 606, 4299, 1858, 1369, 476, 1015, 2395, 543, 723, 9672, 16415, 454, 528, 824, 4049, 7929, 2042, 563, 268, 769, 1840, 267, 15509, 1767, 267, 4152, 1058, 581, 2808, 585, 454, 6312, 1801, 609, 513, 2837, 3152, 982, 476, 1911, 269, 275, 18278, 945, 723, 10272, 454, 7945, 2477, 267, 10272, 513, 16738, 3484, 543, 945, 723, 513, 11522, 267, 15319, 3463, 454, 528, 26032, 540, 7362, 563, 268, 11683, 2770, 5774, 12515, 936, 519, 2063, 2540, 267, 2687, 454, 1729, 15509, 267, 1331, 912, 268, 2608, 5053, 2770, 602, 25626, 519, 1158, 538, 476, 4489, 279, 268, 4489, 280, 543, 454, 330, 2683, 606, 6059, 476, 4335, 267, 1822, 4892, 269, 27819, 3368, 941, 1762, 267, 2635, 454, 268, 2608, 7489, 2770, 538, 476, 4198, 278, 268, 4198, 279, 729, 1101, 4857, 538, 3624, 563, 2005, 10645, 476, 3583, 267, 1822, 2729, 538, 519, 2136, 2276, 563, 268, 2608, 15173, 15158, 2770, 267, 476, 3422, 279, 268, 3422, 280, 3361, 827, 476, 4097, 267, 1822, 1977, 454, 268, 4793, 878, 807, 589, 269, 667, 1195, 548, 267, 12854, 454, 268, 7490, 3643, 1250, 834, 28770, 3101, 15302, 257, 5048, 454, 268, 2098, 7315, 682, 8061, 956, 320, 512, 2967, 521, 770, 574, 14505, 454, 268, 3619, 609, 2696, 543, 538, 6153, 2657, 0, 300, 996, 27957, 15033, 853, 20942, 19905, 28857, 630, 17307, 6347, 1070, 606, 15084, 15033, 24077, 1872, 267, 666, 2014, 1272, 18446, 2960, 267, 18072, 543, 10551, 3135, 5563, 610, 16415, 910, 513, 1007, 5359, 9060, 602, 16906, 8673, 949, 1118, 1919, 1256, 8338, 563, 20442, 2907, 917, 602, 7296, 13189, 28746, 1480, 7929, 543, 4761, 2281, 267, 543, 1631, 649, 4312, 3254, 602, 267, 593, 519, 1166, 2354, 728, 267, 8673, 666, 849, 2566, 856, 12362, 4551, 543, 1118, 873, 811, 10728, 2437, 1767, 9972, 2278, 23718, 661, 269, 595, 8527, 1399, 12138, 267, 11022, 267, 13930, 4791, 7548, 540, 4915, 693, 17459, 5842, 17630, 543, 5234, 10629, 693, 519, 27851, 16457, 5842, 17630, 16195, 3590, 563, 306, 5285, 565, 984, 639, 6532, 16307, 17973, 666, 979, 26862, 267, 2781, 2084, 547, 1332, 543, 16196, 267, 538, 1931, 547, 2149, 2933, 689, 3968, 676, 590, 5285, 565, 984, 639, 32605, 11057, 3644, 476, 280, 630, 7704, 309, 280, 1916, 763, 26862, 17973, 616, 2111, 547, 9156, 952, 519, 3644, 4422, 2476, 1369, 476, 2190, 547, 476, 4366, 3108, 267, 6382, 789, 5884, 563, 306, 5285, 565, 984, 639, 568, 513, 2249, 540, 9125, 320, 630, 320, 6389, 540, 2582, 16052, 539, 7103, 3982, 689, 4551, 264, 1336, 538, 15755, 3905, 20950, 782, 936, 519, 1158, 267, 1141, 1863, 8290, 616, 711, 607, 1455, 607, 538, 824, 5054, 269, 1452, 17973, 786, 979, 26862, 538, 519, 4527, 540, 1175, 513, 1906, 8290, 267, 2436, 3742, 610, 29680, 269, 2755, 30737, 17300, 3644, 5536, 3112, 3468, 513, 3984, 267, 3173, 1336, 789, 1223, 1869, 2014, 18959, 3599, 267, 543, 6038, 267, 2669, 538, 590, 5285, 565, 984, 639, 563, 12901, 756, 8438, 4187, 568, 26405, 547, 3262, 11451, 1851, 4551, 4749, 26582, 538, 7929, 543, 17256, 3968, 267, 2687, 547, 1007, 1382, 563, 288, 2487, 1353, 2982, 602, 1079, 6090, 602, 24705, 4187, 1996, 513, 3226, 2178, 1362, 540, 11216, 666, 581, 3838, 3362, 1851, 513, 1920, 540, 4551, 3743, 585, 513, 1713, 6712, 540, 6413, 23938, 5563, 269, 10684, 15033, 17900, 538, 519, 1482, 1920, 540, 4551, 5063, 7783, 1896, 2550, 693, 1079, 11968, 13353, 10506, 269, 634, 5563, 723, 1044, 5532, 547, 2564, 1085, 8554, 5156, 547, 723, 1044, 13572, 609, 4551, 602, 666, 5706, 16087, 777, 523, 2114, 267, 14984, 11216, 602, 616, 9277, 547, 581, 1031, 1152, 538, 18205, 569, 2192, 2550, 610, 1346, 7783, 676, 11259, 4551, 563, 14722, 1603, 538, 7186, 18058, 723, 4362, 606, 15934, 1062, 602, 267, 899, 513, 11718, 737, 10107, 538, 950, 519, 1379, 14543, 267, 2337, 2844, 519, 6797, 950, 824, 1949, 616, 7508, 610, 19847, 563, 1607, 896, 13231, 344, 1412, 339, 1389, 519, 3942, 262, 950, 519, 1291, 17076, 568, 7210, 543, 568, 23185, 676, 8715, 542, 710, 267, 606, 11254, 3679, 602, 666, 1405, 581, 14475, 538, 519, 1560, 543, 3085, 1405, 2097, 689, 16909, 29225, 610, 9360, 563, 10144, 1205, 621, 1152, 676, 4189, 3940, 563, 1103, 2694, 540, 519, 2197, 602, 798, 711, 723, 4672, 6199, 338, 11067, 909, 593, 13272, 610, 9991, 689, 519, 6607, 267, 621, 568, 3592, 5614, 9544, 4005, 563, 2690, 14274, 267, 602, 1611, 8259, 596, 946, 513, 6757, 5214, 610, 10991, 3114, 267, 972, 568, 513, 4960, 540, 9190, 3968, 267, 3056, 547, 25224, 539, 2208, 543, 1447, 9422, 1871, 269, 634, 6602, 540, 1007, 6042, 540, 8878, 11444, 585, 2371, 1223, 1291, 547, 4543, 1346, 1753, 3766, 3497, 14274, 4339, 1055, 1978, 4551, 1732, 543, 1256, 723, 6286, 585, 15090, 4054, 267, 24712, 267, 13386, 28369, 543, 7573, 11053, 558, 10633, 7783, 609, 1179, 330, 2068, 1419, 723, 27315, 1540, 3762, 543, 8697, 4829, 269, 15894, 281, 2160, 540, 16713, 454, 306, 5306, 2000, 8221, 267, 10300, 30858, 267, 17973, 1223, 24946, 5946, 547, 2973, 909, 14599, 1193, 2632, 1756, 543, 1309, 10901, 12274, 689, 519, 30738, 2313, 9874, 667, 2967, 268, 24734, 17437, 5295, 7233, 10071, 538, 3567, 563, 763, 2473, 11920, 2497, 540, 513, 12498, 2000, 716, 600, 848, 11747, 689, 835, 971, 2890, 2041, 267, 519, 10300, 2684, 850, 26537, 2129, 531, 14385, 838, 269, 476, 28794, 267, 2982, 621, 814, 3810, 16496, 524, 10901, 11006, 4609, 269, 589, 476, 272, 269, 279, 547, 476, 273, 269, 280, 2587, 560, 668, 6571, 2497, 585, 713, 11747, 269, 1323, 10095, 748, 2473, 11920, 32250, 849, 7000, 11006, 4609, 538, 519, 3940, 585, 29447, 273, 266, 543, 595, 338, 266, 12274, 267, 519, 2319, 5359, 563, 2467, 568, 8762, 5735, 543, 1287, 972, 568, 2890, 2173, 2222, 2173, 15412, 5735, 563, 763, 6228, 540, 16600, 23337, 718, 4551, 814, 1044, 23503, 585, 5756, 267, 855, 1631, 972, 568, 3102, 6475, 22794, 543, 5027, 2861, 2963, 540, 519, 21792, 17973, 602, 616, 827, 607, 1507, 607, 1272, 666, 1205, 563, 763, 2281, 723, 606, 3328, 4320, 540, 476, 271, 269, 27947, 12945, 8020, 6425, 630, 320, 25050, 568, 835, 2929, 628, 540, 513, 11281, 1040, 6168, 476, 5611, 540, 891, 4551, 1223, 3514, 3330, 606, 18521, 615, 747, 807, 19546, 1591, 543, 811, 982, 476, 5611, 267, 1822, 2281, 1223, 3514, 5196, 519, 9133, 540, 513, 1480, 4552, 563, 28846, 1627, 269, 932, 16211, 267, 18738, 3163, 454, 263, 11900, 728, 3163, 264, 4534, 5164, 4926, 602, 22983, 519, 5027, 540, 8103, 781, 11937, 6634, 540, 1296, 3516, 949, 1631, 1404, 2565, 5107, 538, 519, 9998, 5933, 540, 1480, 1646, 267, 3173, 2161, 563, 763, 6602, 24259, 1769, 593, 519, 1883, 851, 602, 8290, 949, 723, 5129, 538, 1480, 4720, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 28302, 4267, 689, 1053, 610, 2307, 1053, 547, 2347, 519, 6169, 2933, 269, 1109, 634, 6169, 666, 581, 2944, 2789, 2081, 267, 543, 594, 1589, 519, 1259, 602, 14977, 2401, 1281, 621, 568, 711, 607, 1463, 607, 824, 2409, 269, 1109, 1403, 596, 723, 942, 267, 1287, 713, 1131, 581, 513, 1390, 6643, 547, 723, 609, 1053, 547, 16472, 1010, 1505, 543, 5635, 270, 4186, 2858, 609, 1053, 262, 1378, 960, 630, 6573, 274, 6393, 3080, 16602, 851, 540, 8713, 6311, 290, 568, 4543, 1053, 547, 8275, 602, 789, 991, 547, 2697, 519, 21412, 12730, 1101, 543, 1287, 6961, 891, 21412, 1354, 1210, 8713, 6311, 290, 269, 1109, 4935, 267, 1354, 4358, 519, 6169, 3177, 538, 4967, 267, 596, 949, 1616, 547, 5401, 1053, 547, 5031, 610, 2681, 538, 519, 7222, 21412, 2694, 538, 519, 6516, 269, 1109, 3973, 267, 689, 1934, 267, 1053, 666, 1376, 547, 2697, 799, 12730, 649, 991, 547, 6961, 616, 21412, 780, 1012, 6657, 270, 29094, 543, 1401, 527, 32402, 564, 692, 1015, 3764, 692, 763, 2259, 10774, 727, 1740, 1109, 25075, 1938, 1053, 609, 606, 4316, 547, 829, 572, 3164, 998, 2352, 15997, 630, 6573, 476, 272, 264, 799, 666, 581, 9863, 1210, 1022, 540, 519, 2947, 17602, 775, 5376, 916, 267, 590, 7704, 267, 590, 3008, 267, 589, 3008, 267, 589, 6347, 543, 670, 299, 780, 763, 14827, 19044, 1109, 326, 633, 1053, 609, 606, 4316, 547, 2689, 519, 4276, 1063, 25355, 14497, 543, 670, 299, 14497, 630, 553, 1134, 607, 590, 7704, 1040, 1109, 1411, 666, 2307, 1053, 547, 2490, 547, 513, 7023, 547, 2626, 713, 2243, 610, 2307, 1053, 547, 2328, 741, 2626, 538, 1913, 543, 1683, 513, 17250, 799, 596, 1287, 1131, 2445, 780, 1012, 21121, 19577, 5741, 692, 276, 3764, 692, 27039, 593, 952, 596, 723, 942, 2451, 538, 713, 1362, 267, 952, 596, 723, 1044, 16163, 532, 856, 519, 1770, 1788, 267, 596, 666, 1683, 1053, 609, 538, 16512, 5955, 593, 741, 6169, 610, 2285, 1053, 942, 547, 10891, 543, 1544, 519, 3381, 9496, 585, 741, 6906, 6169, 269, 1109, 634, 2326, 585, 713, 1788, 666, 581, 1336, 1934, 269, 0, 258, 28859, 502, 369, 28578, 20721, 489, 420, 377, 361, 7511, 20881, 484, 12571, 495, 28997, 501, 25622, 692, 1708, 272, 23946, 368, 274, 10951, 486, 280, 20721, 354, 1626, 281, 5400, 281, 6187, 476, 9463, 495, 23989, 13644, 482, 18777, 374, 476, 278, 2918, 17276, 361, 350, 418, 369, 493, 25335, 486, 692, 1012, 476, 10951, 361, 24757, 418, 28187, 13213, 364, 692, 19152, 2433, 476, 2855, 26514, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 2639, 323, 815, 476, 273, 454, 20479, 2433, 2855, 26514, 815, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 272, 267, 476, 273, 6540, 8527, 622, 19906, 314, 3910, 546, 267, 562, 994, 516, 2091, 19906, 314, 3910, 476, 272, 267, 546, 264, 476, 3248, 516, 2091, 19906, 314, 3910, 546, 1341, 476, 272, 267, 562, 11850, 516, 2091, 19906, 314, 3910, 476, 272, 267, 562, 32007, 1892, 476, 9463, 491, 420, 377, 361, 288, 23284, 420, 492, 371, 23523, 501, 6635, 289, 267, 476, 10429, 370, 18809, 6635, 9463, 491, 420, 377, 361, 288, 25707, 1892, 476, 9463, 491, 420, 377, 361, 289, 23284, 420, 492, 371, 23523, 501, 6635, 27778, 267, 476, 10429, 370, 18809, 27778, 15159, 289, 7511, 9463, 491, 420, 377, 361, 25707, 1892, 476, 9463, 500, 9463, 491, 23523, 501, 28996, 263, 6635, 27778, 264, 337, 815, 22601, 12486, 692, 288, 815, 1496, 272, 267, 476, 273, 316, 25520, 289, 815, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 6540, 1892, 476, 9463, 491, 12571, 495, 288, 267, 476, 16043, 495, 10524, 361, 23523, 501, 28996, 6635, 289, 815, 1496, 273, 18998, 272, 18998, 274, 18998, 275, 18998, 276, 18998, 277, 18998, 278, 2639, 1892, 476, 9463, 491, 12571, 495, 289, 267, 476, 16043, 495, 10524, 361, 23523, 501, 28996, 6635, 27778, 815, 1496, 273, 267, 476, 272, 267, 476, 278, 267, 476, 277, 267, 476, 277, 267, 476, 276, 267, 476, 275, 267, 476, 274, 2639, 1892, 28859, 351, 510, 22390, 496, 10429, 357, 421, 481, 357, 267, 476, 16043, 495, 10524, 361, 23523, 501, 28996, 263, 6635, 27778, 264, 337, 815, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 272, 267, 476, 273, 6540, 1012, 595, 1341, 266, 692, 2260, 595, 10030, 1982, 585, 30729, 5690, 454, 2260, 540, 5044, 10047, 454, 258, 514, 2850, 2999, 23605, 23995, 26501, 10030, 269, 327, 11417, 6748, 4408, 10628, 31901, 16963, 270, 265, 31262, 547, 9258, 2855, 26514, 689, 4994, 1376, 547, 1439, 265, 13045, 341, 1355, 9258, 26161, 263, 703, 2855, 314, 3910, 703, 1376, 267, 703, 1439, 994, 19127, 6112, 630, 11034, 2999, 1439, 264, 13634, 842, 10917, 815, 2855, 314, 11034, 30092, 1551, 314, 11034, 316, 815, 2855, 314, 754, 30092, 1551, 314, 754, 316, 815, 10917, 3248, 11034, 10030, 3248, 754, 734, 3248, 8679, 10926, 270, 265, 9577, 547, 2451, 17967, 2855, 26514, 540, 2450, 562, 676, 546, 2608, 13045, 341, 1355, 2451, 305, 582, 622, 263, 703, 2855, 314, 3910, 703, 546, 267, 703, 562, 994, 19127, 604, 630, 323, 2652, 476, 271, 994, 8873, 476, 3248, 2260, 538, 2013, 519, 15914, 3815, 568, 454, 2260, 3152, 982, 5044, 3259, 454, 323, 815, 546, 4939, 562, 16963, 516, 2091, 26161, 19906, 267, 476, 271, 267, 546, 910, 476, 272, 11850, 516, 2091, 26161, 19906, 267, 546, 267, 562, 910, 476, 272, 11850, 516, 2091, 26161, 19906, 267, 476, 271, 267, 562, 910, 476, 272, 11850, 10926, 2260, 9577, 547, 1820, 606, 5044, 454, 341, 1355, 1820, 26161, 263, 703, 2855, 314, 3910, 703, 2450, 994, 19127, 1721, 630, 703, 1775, 815, 476, 271, 282, 1775, 2999, 2450, 282, 1775, 10030, 994, 322, 719, 24177, 2855, 5157, 316, 24177, 834, 834, 476, 3248, 10926, 270, 265, 30905, 1982, 547, 1449, 1657, 3252, 2608, 13045, 842, 1292, 4590, 19127, 842, 2855, 26514, 815, 2715, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 7684, 3248, 842, 562, 815, 2450, 1993, 630, 1551, 264, 1315, 2450, 1993, 630, 1551, 314, 271, 8079, 3248, 842, 546, 815, 476, 273, 16963, 2260, 9577, 10912, 454, 3847, 305, 582, 622, 19906, 267, 546, 267, 562, 11850, 2745, 26161, 19906, 267, 562, 32007, 8873, 476, 271, 3248, 10926, 1012, 595, 692, 2260, 595, 14727, 10030, 1982, 585, 30729, 5690, 540, 5044, 10047, 454, 258, 514, 2850, 2999, 560, 323, 1470, 19544, 285, 692, 270, 265, 25219, 1006, 1599, 547, 1820, 606, 5044, 2608, 13045, 341, 1355, 1820, 26161, 263, 703, 2855, 314, 3910, 703, 2450, 32007, 270, 265, 7780, 1006, 1599, 547, 9258, 2855, 26514, 689, 1376, 547, 1439, 2608, 13045, 341, 1355, 9258, 26161, 263, 703, 2855, 314, 3910, 703, 1376, 267, 703, 1439, 32007, 270, 265, 9577, 547, 2451, 17967, 2855, 26514, 540, 2450, 562, 676, 546, 2608, 13045, 341, 1355, 2451, 305, 582, 622, 263, 703, 2855, 314, 3910, 703, 546, 267, 703, 562, 994, 346, 692, 604, 630, 323, 2652, 476, 271, 994, 8873, 476, 3248, 2260, 538, 2013, 519, 15914, 3815, 568, 454, 2260, 3152, 982, 5044, 3259, 454, 323, 815, 546, 4939, 562, 16963, 516, 2091, 26161, 19906, 267, 476, 271, 267, 546, 910, 476, 272, 11850, 516, 2091, 26161, 19906, 267, 546, 267, 562, 910, 476, 272, 11850, 516, 2091, 26161, 19906, 267, 476, 271, 267, 562, 910, 476, 272, 11850, 10926, 270, 265, 308, 2316, 299, 14510, 674, 7419, 290, 16739, 265, 13045, 270, 265, 1599, 547, 1820, 606, 5044, 2608, 13045, 341, 1355, 1820, 26161, 263, 703, 2855, 314, 3910, 703, 2450, 994, 19127, 842, 1775, 3248, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 2450, 282, 1775, 10030, 994, 2745, 325, 630, 834, 260, 323, 834, 2073, 2855, 5157, 8079, 3248, 10926, 270, 265, 31262, 547, 9258, 2855, 26514, 689, 4994, 1376, 547, 1439, 265, 13045, 341, 1355, 9258, 26161, 263, 703, 2855, 314, 3910, 703, 1376, 267, 703, 1439, 994, 19127, 842, 10917, 3248, 6112, 630, 11034, 2999, 1439, 264, 13634, 31184, 815, 2855, 314, 11034, 30092, 1551, 314, 11034, 316, 815, 2855, 314, 754, 30092, 1551, 314, 754, 316, 815, 10917, 3248, 11034, 10030, 3248, 754, 734, 3248, 8679, 10926, 270, 265, 30905, 1982, 547, 1449, 1657, 3252, 2608, 13045, 842, 1292, 4590, 19127, 842, 2855, 26514, 815, 2715, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 7684, 3248, 842, 562, 815, 2450, 1993, 630, 1551, 264, 1315, 2450, 1993, 630, 1551, 314, 271, 8079, 3248, 842, 546, 815, 476, 273, 16963, 3847, 305, 582, 622, 19906, 267, 546, 267, 562, 11850, 2745, 26161, 19906, 267, 562, 11850, 8873, 476, 271, 3248, 10926, 1012, 10084, 692, 2260, 10084, 1982, 585, 30729, 5690, 540, 5044, 10047, 454, 5814, 28162, 269, 1470, 30818, 16963, 5035, 19382, 305, 582, 622, 13634, 270, 265, 9577, 547, 2451, 17967, 2855, 26514, 540, 2450, 562, 676, 546, 2608, 13045, 18878, 20704, 2451, 305, 582, 622, 263, 703, 2855, 314, 3910, 703, 546, 994, 346, 692, 604, 630, 323, 2652, 476, 271, 12467, 8873, 6902, 692, 842, 562, 815, 2855, 32324, 3248, 2260, 538, 2013, 519, 15914, 3815, 568, 454, 2260, 3152, 982, 5044, 3259, 454, 323, 815, 546, 4939, 562, 3248, 516, 2091, 26161, 19906, 267, 476, 271, 2073, 546, 910, 476, 272, 3738, 3248, 516, 2091, 26161, 19906, 267, 546, 267, 562, 910, 476, 272, 3738, 3248, 516, 2091, 26161, 19906, 267, 476, 271, 2073, 562, 910, 476, 272, 3738, 3248, 10926, 270, 265, 31262, 547, 9258, 2855, 26514, 689, 4994, 1376, 547, 1439, 265, 13045, 18878, 20704, 9258, 26161, 263, 703, 2855, 314, 3910, 703, 1376, 267, 703, 1439, 994, 19127, 842, 10917, 3248, 6112, 630, 11034, 2999, 1439, 264, 13634, 31184, 815, 2855, 314, 11034, 30092, 1551, 314, 11034, 316, 815, 2855, 314, 754, 30092, 1551, 314, 754, 316, 815, 10917, 3248, 11034, 10030, 3248, 754, 734, 3248, 8679, 10926, 270, 265, 308, 2316, 299, 14510, 674, 7419, 290, 16739, 265, 13045, 270, 265, 1599, 547, 1820, 606, 5044, 2608, 13045, 18878, 20704, 1820, 26161, 263, 703, 2855, 314, 7481, 19127, 1721, 630, 703, 1775, 815, 476, 271, 6902, 1775, 2999, 2855, 32324, 282, 1775, 10030, 994, 21902, 269, 719, 31428, 19906, 5157, 316, 1341, 834, 834, 3738, 3248, 10926, 270, 265, 30905, 1982, 547, 1449, 1657, 3252, 2608, 13045, 21504, 11979, 20704, 1292, 263, 21803, 26514, 26571, 994, 19127, 842, 2855, 26514, 815, 2715, 476, 272, 2073, 476, 273, 2073, 476, 274, 2073, 476, 275, 2073, 476, 276, 2073, 476, 277, 2073, 476, 278, 7684, 3248, 842, 562, 815, 2855, 32324, 3248, 842, 546, 815, 476, 273, 6902, 692, 3847, 305, 582, 622, 19906, 267, 546, 5148, 12262, 15585, 622, 5044, 676, 546, 454, 2745, 26161, 19906, 11850, 8679, 8679, 270, 265, 1607, 3009, 568, 8329, 676, 1546, 1407, 327, 3397, 3863, 531, 265, 270, 692, 1012, 9226, 692, 258, 5124, 1982, 585, 30729, 5690, 540, 5044, 10047, 692, 258, 9577, 547, 9258, 2855, 26514, 689, 4994, 1376, 547, 1439, 692, 3698, 9258, 26161, 19906, 267, 1376, 267, 1439, 2187, 6112, 630, 11034, 2999, 1439, 2187, 31184, 815, 2855, 314, 11034, 2639, 1551, 314, 11034, 316, 815, 2855, 314, 754, 2639, 1551, 314, 754, 316, 815, 10917, 454, 11034, 1341, 815, 476, 272, 454, 754, 815, 1439, 910, 476, 272, 692, 258, 9577, 547, 2451, 17967, 2855, 26514, 540, 2450, 562, 676, 546, 692, 3698, 2451, 305, 582, 622, 19906, 267, 546, 17107, 604, 546, 815, 815, 476, 271, 10778, 8873, 454, 333, 815, 7003, 630, 1551, 994, 258, 538, 2013, 519, 15914, 3815, 568, 454, 258, 3152, 982, 5044, 3259, 454, 323, 815, 546, 4939, 562, 454, 516, 2091, 26161, 19906, 267, 476, 271, 2073, 546, 910, 476, 272, 12467, 516, 2091, 26161, 19906, 267, 546, 267, 562, 910, 476, 272, 12467, 516, 2091, 26161, 19906, 267, 476, 271, 2073, 562, 910, 476, 272, 25589, 258, 9577, 547, 1820, 606, 5044, 692, 3698, 1820, 26161, 19906, 2187, 1721, 1775, 538, 2039, 630, 476, 271, 2073, 7003, 630, 1551, 15892, 2745, 2855, 5157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4849, 609, 13450, 267, 1373, 30109, 1031, 609, 2250, 1300, 328, 1255, 267, 1498, 12212, 609, 519, 31208, 1438, 962, 322, 454, 312, 3890, 16816, 269, 540, 594, 8894, 312, 3890, 962, 267, 519, 8938, 1922, 604, 628, 4484, 540, 519, 2296, 9904, 267, 693, 519, 4098, 540, 513, 2262, 610, 27612, 267, 4849, 950, 513, 18772, 630, 5408, 962, 268, 1070, 568, 2356, 513, 535, 878, 894, 13047, 27901, 282, 607, 513, 18772, 267, 543, 2356, 538, 519, 1647, 610, 693, 519, 1439, 540, 513, 27612, 267, 621, 568, 513, 20262, 269, 6423, 6651, 454, 312, 3799, 4700, 589, 23643, 539, 610, 536, 604, 584, 322, 730, 10612, 17501, 563, 312, 3799, 4700, 589, 6712, 540, 3950, 9967, 540, 1079, 11651, 3101, 13475, 4448, 676, 513, 3444, 3950, 563, 312, 3799, 4700, 2290, 540, 519, 23643, 539, 25963, 585, 5885, 519, 16263, 540, 513, 1377, 532, 6293, 267, 610, 519, 7852, 540, 513, 519, 617, 565, 924, 282, 513, 530, 6614, 563, 312, 3799, 4700, 23985, 8032, 899, 519, 4484, 962, 282, 513, 23643, 539, 4062, 23401, 538, 1106, 519, 4484, 962, 563, 14946, 539, 676, 281, 19869, 31608, 25592, 928, 1325, 600, 267, 20144, 10440, 267, 16273, 0, 15037, 476, 1839, 267, 476, 1708, 271, 5788, 3284, 6530, 3584, 585, 7803, 5126, 1382, 4574, 1557, 3584, 1382, 3584, 585, 7803, 5126, 1382, 4574, 7803, 585, 4574, 3584, 5126, 269, 1018, 616, 930, 5294, 543, 931, 286, 7392, 540, 1957, 281, 1382, 4574, 1641, 281, 7194, 269, 946, 1870, 1544, 22637, 3948, 713, 3391, 547, 948, 596, 1020, 1382, 3584, 543, 1265, 14046, 1281, 6780, 2087, 4081, 9740, 513, 10282, 540, 1382, 543, 1382, 4930, 267, 543, 1644, 12326, 519, 1434, 1557, 1603, 2754, 1053, 1058, 946, 713, 2511, 547, 10839, 543, 4704, 741, 3594, 543, 2852, 1382, 4574, 1644, 547, 519, 2361, 2081, 547, 1376, 513, 2239, 1557, 540, 7803, 5126, 267, 1876, 267, 610, 3486, 1876, 269, 972, 616, 2789, 7803, 5126, 1557, 3584, 855, 1053, 2141, 1265, 6653, 6300, 1870, 1544, 621, 2352, 547, 3442, 835, 269, 1140, 761, 542, 538, 21944, 22149, 2665, 602, 875, 547, 2328, 513, 1184, 1557, 3111, 547, 3914, 513, 2357, 18743, 281, 5363, 8846, 269, 5126, 538, 7803, 5126, 476, 14096, 276, 1913, 16555, 538, 606, 1557, 1923, 476, 277, 3817, 269, 0, 10743, 4983, 29772, 1907, 321, 1513, 543, 1907, 8663, 12981, 269, 1358, 1287, 1449, 741, 1702, 538, 513, 12805, 3635, 563, 9558, 626, 528, 26386, 281, 8028, 17738, 454, 3528, 18536, 14929, 701, 454, 10743, 1224, 827, 519, 2185, 3268, 547, 2870, 606, 1035, 2203, 543, 2070, 1806, 563, 16248, 18001, 654, 6614, 17992, 518, 6726, 725, 454, 3528, 6276, 25816, 817, 320, 454, 1103, 713, 7317, 1843, 267, 6267, 1246, 3268, 547, 1265, 5123, 28696, 538, 513, 9864, 1614, 25686, 1379, 3892, 5547, 563, 16655, 3065, 5295, 18734, 454, 7075, 2996, 616, 5189, 547, 519, 5021, 1379, 4483, 11532, 269, 6201, 1397, 519, 4452, 607, 621, 9775, 543, 519, 2164, 616, 1178, 335, 1117, 563, 313, 20672, 2401, 9539, 747, 11169, 23120, 20676, 532, 570, 12941, 6726, 725, 454, 3528, 6833, 787, 19258, 3881, 454, 7075, 2996, 4983, 519, 12596, 602, 616, 1031, 547, 3313, 519, 1697, 623, 2839, 2418, 547, 581, 9411, 883, 513, 17120, 1210, 519, 2098, 20672, 2401, 9539, 747, 11169, 23120, 20676, 532, 570, 12941, 6396, 563, 20091, 543, 3955, 31147, 4446, 28977, 454, 3528, 8071, 710, 4880, 5052, 8583, 454, 1103, 713, 1565, 2534, 596, 3513, 2697, 519, 1585, 2694, 540, 513, 3046, 3113, 267, 1224, 543, 4612, 922, 1239, 267, 543, 5173, 519, 1239, 547, 4194, 1585, 3498, 2042, 563, 288, 12834, 540, 519, 1849, 3151, 6713, 454, 3528, 22118, 8291, 1855, 531, 454, 1103, 713, 8051, 1565, 1843, 267, 1053, 1246, 519, 3268, 3238, 538, 519, 14656, 1184, 269, 570, 3637, 6589, 2270, 10678, 21356, 585, 513, 9138, 1974, 543, 1590, 581, 6806, 563, 763, 6153, 267, 519, 14068, 267, 543, 1548, 1772, 513, 14847, 1890, 888, 3528, 27239, 645, 1551, 267, 21861, 20707, 13704, 267, 22526, 21207, 601, 267, 26701, 328, 774, 2803, 517, 454, 7075, 2996, 10646, 1063, 21941, 602, 616, 2500, 543, 7347, 267, 543, 1346, 602, 616, 23696, 543, 4617, 269, 634, 1565, 1843, 568, 2966, 585, 12200, 945, 616, 1603, 610, 2847, 2358, 6030, 269, 898, 3568, 8301, 563, 11947, 3118, 5071, 281, 27990, 9537, 454, 3528, 19378, 18724, 332, 1195, 518, 454, 1103, 713, 19347, 1843, 267, 6267, 1224, 519, 7516, 540, 519, 1114, 2010, 540, 6472, 3335, 2808, 538, 19814, 1374, 563, 11328, 31147, 7177, 8571, 902, 281, 5871, 2806, 12934, 9911, 454, 3528, 3794, 3317, 590, 758, 565, 22603, 454, 1103, 713, 7317, 1843, 267, 6267, 1224, 519, 1455, 31120, 1031, 538, 4702, 12400, 543, 1287, 1449, 741, 1702, 538, 1614, 2110, 5751, 563, 8294, 12022, 8294, 12022, 8294, 20254, 24291, 24220, 25078, 18716, 404, 371, 29756, 630, 26594, 26682, 994, 8294, 12022, 8294, 12022, 8294, 20254, 24291, 24220, 25078, 18716, 404, 371, 29756, 24291, 404, 369, 28519, 24291, 25078, 8294, 24220, 28257, 454, 25811, 1359, 543, 7435, 13088, 9061, 5320, 454, 25811, 1359, 543, 1688, 2645, 6863, 454, 12709, 15339, 281, 6904, 5851, 888, 13356, 728, 519, 1826, 540, 1753, 4330, 1354, 942, 8255, 856, 563, 24478, 633, 12780, 21922, 9539, 517, 4467, 14293, 476, 275, 269, 271, 4139, 17821, 563, 9596, 811, 827, 519, 12689, 19314, 24876, 707, 1007, 1895, 513, 2012, 269, 0, 763, 6437, 2488, 10453, 609, 606, 4367, 547, 519, 1898, 1702, 602, 789, 991, 547, 581, 13473, 4961, 269, 898, 12857, 10453, 547, 519, 1655, 602, 814, 1044, 2219, 543, 1767, 543, 2337, 1266, 2658, 606, 7071, 540, 1480, 5876, 543, 9740, 563, 763, 6437, 568, 1175, 835, 3693, 538, 519, 2069, 540, 1169, 1126, 269, 1703, 616, 942, 543, 2230, 538, 519, 1153, 1554, 543, 538, 1142, 3018, 267, 2165, 543, 1032, 547, 2039, 3564, 519, 6437, 16551, 269, 634, 6437, 2488, 606, 7291, 540, 4295, 1702, 1472, 799, 3610, 666, 1020, 3078, 543, 18398, 4245, 547, 3895, 519, 1646, 540, 10453, 685, 1702, 267, 1620, 267, 543, 1983, 607, 851, 540, 519, 9962, 1153, 6437, 563, 9961, 519, 1032, 267, 782, 3610, 2708, 741, 10453, 685, 3356, 538, 1142, 1641, 899, 513, 3339, 851, 540, 741, 3450, 269, 32167, 2812, 538, 6103, 476, 273, 2328, 519, 6206, 8609, 476, 272, 22410, 693, 5729, 476, 273, 269, 2311, 519, 1439, 540, 5729, 476, 277, 267, 10453, 2328, 519, 6206, 8609, 476, 273, 22410, 269, 1452, 4255, 267, 3144, 693, 519, 1439, 540, 1142, 1883, 3942, 267, 2285, 513, 25135, 14653, 540, 513, 20194, 779, 26556, 538, 519, 4295, 5396, 563, 288, 1164, 7779, 2069, 538, 2296, 786, 4001, 10453, 547, 3717, 543, 2328, 2770, 1836, 865, 602, 789, 666, 5968, 741, 2093, 543, 4664, 547, 1866, 543, 998, 741, 2542, 543, 6947, 267, 1866, 666, 5968, 609, 873, 269, 3414, 2542, 538, 1880, 267, 10453, 723, 513, 4960, 547, 1020, 15520, 267, 14156, 267, 6457, 1302, 267, 13998, 543, 32375, 269, 9085, 267, 2523, 267, 4249, 513, 1883, 1909, 538, 971, 1646, 269, 7335, 849, 6087, 10453, 1312, 547, 10536, 1702, 543, 547, 1628, 593, 1018, 789, 2907, 917, 269, 2353, 519, 1983, 540, 1893, 616, 1898, 547, 10283, 4628, 607, 513, 4759, 540, 2486, 282, 10453, 267, 4061, 267, 945, 798, 711, 1451, 547, 3717, 267, 1224, 543, 2328, 2770, 1836, 543, 18390, 616, 3927, 771, 523, 325, 13361, 2213, 563, 288, 1164, 7779, 6128, 2069, 4061, 2488, 513, 5748, 585, 1620, 519, 1158, 267, 519, 2702, 547, 2601, 28879, 267, 606, 7071, 540, 519, 5898, 543, 1379, 540, 6128, 267, 543, 513, 2631, 540, 18399, 543, 7279, 827, 519, 1641, 269, 9119, 568, 513, 3860, 543, 3810, 954, 268, 8588, 9015, 602, 814, 1044, 2919, 936, 5553, 267, 3246, 519, 3070, 547, 930, 540, 1686, 779, 1034, 10578, 2042, 269, 898, 568, 1898, 547, 4948, 1272, 267, 2565, 547, 2257, 267, 2029, 543, 4702, 267, 543, 2556, 585, 2883, 7924, 543, 1034, 3029, 540, 7694, 563, 288, 1164, 7779, 2257, 2069, 2488, 519, 13210, 585, 1620, 519, 1158, 998, 519, 1808, 10459, 540, 7350, 267, 7998, 543, 6323, 269, 3163, 814, 4957, 938, 2729, 543, 568, 4105, 547, 519, 1158, 779, 2104, 13884, 267, 543, 782, 10453, 1058, 581, 6026, 1898, 3344, 540, 519, 1702, 267, 2409, 267, 3157, 543, 3096, 540, 2257, 269, 3414, 2679, 909, 513, 1560, 540, 1883, 13654, 1702, 543, 2035, 267, 10453, 1058, 581, 9415, 547, 21028, 519, 1379, 540, 7787, 7778, 543, 1020, 513, 2631, 540, 10761, 543, 7279, 827, 2067, 9259, 269, 1358, 1058, 581, 9415, 547, 1174, 875, 2257, 666, 581, 1031, 547, 2491, 1018, 568, 9648, 267, 3589, 875, 1919, 786, 13789, 267, 543, 20272, 3123, 454, 14532, 267, 17323, 267, 3203, 543, 1374, 267, 17270, 267, 8535, 267, 8447, 4065, 543, 19932, 616, 519, 824, 5396, 6026, 269, 0, 272, 264, 7617, 540, 519, 1739, 6898, 827, 3069, 568, 7301, 888, 288, 264, 7869, 568, 15491, 267, 1950, 267, 543, 6422, 563, 289, 264, 1703, 568, 835, 4922, 7608, 4214, 540, 1018, 3069, 568, 543, 568, 711, 563, 290, 264, 7869, 8813, 883, 1079, 3376, 6688, 1765, 5570, 976, 1619, 543, 3621, 563, 291, 264, 634, 936, 31186, 3804, 540, 3069, 568, 547, 2491, 7613, 563, 273, 264, 7617, 540, 519, 1739, 568, 1034, 2693, 711, 513, 862, 976, 1619, 3069, 888, 288, 264, 634, 824, 1053, 538, 707, 1362, 723, 811, 1863, 942, 1317, 789, 1353, 1447, 982, 596, 798, 563, 289, 264, 2353, 540, 707, 20485, 616, 3238, 538, 513, 4729, 547, 24057, 992, 519, 7022, 540, 707, 6280, 563, 290, 264, 1411, 10093, 1406, 4862, 689, 707, 11078, 25015, 1317, 1352, 568, 11112, 4974, 585, 1200, 3803, 11400, 563, 291, 264, 634, 1297, 540, 3108, 6170, 4974, 585, 11400, 267, 513, 2875, 779, 18515, 547, 2307, 2055, 267, 543, 12032, 540, 1576, 6780, 616, 2047, 1644, 3803, 3446, 563, 274, 264, 7617, 540, 519, 1739, 568, 711, 835, 540, 519, 1614, 1292, 3853, 540, 3621, 3069, 888, 288, 264, 9484, 9653, 540, 3069, 689, 2259, 454, 289, 264, 13517, 540, 513, 7613, 1373, 6594, 454, 290, 264, 20530, 2109, 827, 2104, 3347, 454, 291, 264, 19247, 602, 968, 332, 1389, 2631, 892, 540, 4767, 2621, 454, 275, 264, 7617, 540, 519, 1739, 12746, 625, 1034, 8308, 11225, 3621, 3069, 888, 288, 264, 11660, 3069, 17046, 569, 6257, 2259, 538, 1454, 519, 1482, 1259, 602, 513, 8675, 17046, 569, 6257, 519, 10096, 540, 1114, 1913, 563, 289, 264, 11660, 3069, 3334, 616, 5916, 538, 1114, 2081, 547, 3132, 1114, 6436, 538, 1454, 519, 1482, 1259, 602, 19273, 616, 1193, 2426, 1927, 538, 1114, 2081, 547, 3132, 1114, 8405, 331, 2167, 563, 290, 264, 11660, 3069, 4564, 1152, 519, 2219, 2861, 3344, 540, 513, 9015, 630, 337, 1430, 982, 519, 2962, 2861, 3344, 264, 538, 1454, 519, 1482, 1259, 602, 513, 9206, 4564, 519, 2168, 11769, 540, 513, 2197, 630, 337, 1430, 982, 922, 1367, 1004, 1916, 291, 264, 11660, 3069, 3334, 616, 1808, 547, 1152, 835, 1880, 3069, 538, 1454, 519, 1482, 1259, 602, 513, 1883, 568, 1808, 547, 835, 1880, 9376, 563, 276, 264, 7617, 540, 519, 1739, 2055, 1131, 581, 2547, 3617, 547, 2307, 952, 596, 941, 5461, 538, 6313, 1072, 13319, 689, 513, 3621, 3069, 5133, 607, 10353, 547, 1776, 1826, 540, 5133, 888, 288, 264, 1548, 7506, 1072, 2623, 1851, 4587, 4079, 888, 289, 264, 4208, 568, 2069, 1377, 2404, 609, 1978, 4093, 888, 290, 264, 1548, 568, 519, 10700, 1439, 540, 1072, 13319, 888, 291, 264, 1684, 8456, 1291, 547, 2623, 1689, 1851, 10708, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1627, 270, 623, 454, 284, 26818, 630, 307, 268, 23621, 8358, 303, 454, 11405, 281, 8894, 2414, 3489, 519, 942, 2838, 547, 3142, 713, 1216, 689, 476, 2537, 269, 276, 13651, 4113, 595, 547, 519, 14495, 1448, 267, 12990, 476, 15793, 575, 585, 2527, 540, 1216, 544, 267, 476, 275, 866, 271, 808, 21515, 269, 918, 585, 1808, 3002, 4390, 540, 1216, 524, 267, 476, 1911, 13651, 4113, 595, 585, 3803, 2837, 570, 325, 630, 2692, 4979, 1448, 540, 1216, 1070, 476, 2537, 269, 276, 13651, 4113, 595, 585, 3355, 2837, 23621, 543, 476, 13136, 26334, 585, 1379, 623, 538, 519, 3830, 512, 815, 26818, 630, 307, 325, 910, 23621, 8358, 303, 2676, 339, 815, 26818, 630, 307, 325, 910, 23621, 8358, 303, 454, 284, 630, 15793, 575, 264, 630, 275, 866, 271, 808, 21515, 269, 918, 264, 630, 1911, 13651, 4113, 595, 910, 476, 2537, 269, 276, 13651, 4113, 595, 264, 1315, 476, 13136, 654, 454, 284, 630, 15793, 575, 12728, 1765, 1015, 268, 274, 4846, 270, 272, 575, 264, 630, 275, 866, 271, 808, 21515, 269, 918, 264, 630, 1911, 13651, 4113, 595, 910, 476, 2537, 269, 276, 13651, 4113, 595, 264, 1315, 476, 13136, 654, 454, 284, 630, 271, 269, 15793, 4846, 264, 630, 275, 866, 271, 808, 21515, 269, 918, 264, 16733, 1911, 266, 24129, 264, 918, 12882, 11366, 2108, 630, 2537, 269, 276, 1341, 476, 24129, 264, 298, 264, 1315, 476, 13136, 654, 454, 284, 630, 271, 269, 15793, 4846, 264, 630, 275, 866, 271, 808, 21515, 269, 918, 264, 630, 32699, 918, 12882, 11366, 2108, 476, 30640, 269, 276, 918, 264, 1315, 476, 13136, 654, 454, 284, 630, 271, 269, 15793, 4846, 264, 630, 275, 866, 271, 808, 21515, 269, 918, 264, 630, 10602, 269, 276, 918, 264, 1315, 476, 13136, 654, 454, 284, 476, 2735, 269, 1428, 521, 454, 305, 15929, 1055, 547, 1614, 1713, 5515, 267, 519, 942, 2838, 547, 3142, 713, 1216, 689, 476, 2537, 269, 276, 13651, 4113, 595, 547, 519, 14495, 1448, 1131, 581, 476, 2735, 521, 780, 19423, 518, 4881, 593, 661, 706, 3725, 341, 281, 15233, 3009, 5254, 17751, 295, 26041, 1220, 547, 1205, 5442, 305, 476, 1220, 1055, 593, 938, 14167, 1544, 661, 706, 3725, 341, 5606, 6541, 2439, 1012, 808, 7417, 6301, 631, 1442, 4530, 10022, 476, 1708, 272, 1299, 19881, 5729, 14430, 692, 274, 7044, 347, 14690, 2703, 338, 347, 14681, 4255, 692, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3607, 273, 269, 5611, 269, 20542, 269, 5400, 454, 29710, 271, 269, 6245, 269, 28242, 269, 16020, 269, 25148, 269, 1556, 454, 3393, 273, 276, 269, 9340, 269, 278, 3451, 269, 25396, 269, 27944, 269, 1704, 454, 2004, 274, 271, 269, 276, 1556, 275, 269, 22724, 269, 8182, 269, 29637, 269, 1626, 454, 31430, 280, 269, 280, 5952, 269, 279, 2412, 269, 25616, 269, 2420, 454, 3583, 278, 269, 278, 8618, 269, 9873, 269, 4029, 454, 4037, 279, 269, 279, 2641, 269, 18231, 269, 4097, 454, 3199, 280, 269, 280, 6078, 269, 24496, 269, 4343, 454, 3445, 272, 273, 269, 4391, 272, 269, 3199, 269, 5325, 454, 1911, 1428, 269, 271, 3953, 269, 5197, 269, 6812, 692, 2162, 476, 273, 264, 4635, 519, 717, 1478, 940, 12307, 692, 1607, 1935, 568, 1759, 593, 1210, 519, 11023, 1097, 8862, 625, 523, 22138, 3830, 543, 568, 4570, 585, 782, 2010, 540, 2095, 269, 901, 1935, 568, 519, 835, 1034, 4122, 1031, 538, 3301, 15004, 585, 5714, 2095, 2079, 269, 634, 11023, 1097, 268, 2171, 529, 22138, 1505, 568, 3622, 2808, 811, 4977, 982, 519, 18171, 523, 8862, 650, 3554, 338, 1505, 269, 3958, 267, 519, 11023, 1097, 268, 2171, 529, 22138, 1505, 568, 4570, 585, 1022, 5277, 610, 3154, 282, 18171, 523, 8862, 650, 3554, 338, 568, 1152, 4570, 585, 1216, 693, 8723, 5210, 630, 2412, 547, 476, 4037, 334, 674, 1040, 634, 18171, 523, 8862, 650, 3554, 338, 1505, 568, 1360, 2442, 267, 2523, 1851, 3540, 8030, 267, 2094, 922, 11508, 11664, 630, 290, 264, 568, 711, 513, 1599, 540, 6991, 610, 10612, 8006, 269, 18171, 523, 268, 13879, 568, 12863, 982, 11023, 1097, 268, 2171, 529, 22138, 585, 9273, 1141, 596, 616, 6061, 585, 2095, 3433, 267, 6991, 267, 610, 8006, 780, 763, 1292, 12044, 3830, 585, 11508, 2530, 568, 11023, 1097, 779, 3830, 692, 8489, 1384, 1892, 670, 325, 815, 11508, 2530, 538, 3952, 540, 2212, 454, 1892, 535, 815, 10155, 1652, 11508, 3815, 454, 1892, 700, 815, 623, 6559, 20099, 538, 30264, 4953, 454, 1892, 667, 815, 623, 6559, 18738, 18924, 2678, 538, 30264, 4953, 454, 1892, 966, 815, 10046, 20653, 6290, 538, 30264, 4953, 25783, 22444, 31631, 454, 1892, 575, 815, 3400, 13901, 19693, 815, 476, 3953, 269, 273, 3952, 829, 2034, 16302, 692, 5804, 713, 3830, 621, 568, 3833, 2312, 602, 519, 2095, 6991, 814, 513, 2462, 1764, 593, 535, 2774, 1308, 9271, 269, 3245, 3830, 476, 272, 649, 917, 602, 519, 2095, 6991, 568, 11201, 569, 14354, 547, 519, 4009, 540, 519, 10612, 8006, 269, 1924, 952, 649, 2569, 519, 10612, 8006, 676, 476, 16006, 267, 649, 2333, 519, 2095, 6991, 676, 513, 3815, 540, 476, 275, 543, 8754, 849, 2333, 519, 11508, 2530, 676, 513, 3815, 540, 476, 1626, 780, 2414, 4019, 713, 3830, 649, 991, 547, 3313, 519, 11508, 3815, 535, 267, 799, 568, 519, 7294, 851, 269, 634, 3268, 616, 607, 5205, 1384, 2171, 1101, 991, 547, 3313, 519, 1826, 540, 2095, 799, 568, 3335, 5462, 689, 519, 28574, 1245, 779, 1297, 267, 799, 3928, 519, 1826, 540, 2095, 538, 519, 10612, 281, 700, 3133, 541, 267, 5695, 321, 12040, 610, 21846, 531, 2095, 269, 634, 28574, 1245, 779, 1297, 568, 513, 10155, 1652, 1297, 543, 568, 7229, 607, 5205, 692, 1892, 667, 815, 8006, 540, 10612, 538, 32243, 454, 1892, 966, 815, 6991, 538, 32243, 270, 5913, 454, 1892, 13179, 815, 10252, 26517, 25297, 540, 519, 5714, 1373, 29253, 692, 763, 10252, 26517, 25297, 568, 519, 5223, 540, 519, 5714, 779, 5860, 543, 519, 12862, 6207, 25297, 269, 634, 10252, 26517, 25297, 2242, 2687, 547, 2837, 267, 1294, 3349, 630, 4178, 4877, 2794, 14492, 2020, 8368, 476, 273, 2433, 20943, 26517, 966, 4593, 13920, 540, 18610, 4826, 454, 307, 11391, 630, 19592, 4181, 674, 264, 298, 514, 26517, 966, 4593, 13920, 540, 4195, 1216, 454, 3583, 272, 269, 271, 2918, 276, 1535, 476, 1015, 268, 276, 10264, 273, 270, 5913, 454, 4037, 280, 269, 277, 866, 280, 1535, 476, 1015, 268, 277, 10264, 273, 270, 5913, 454, 3199, 280, 269, 271, 3607, 274, 1535, 476, 1015, 268, 277, 10264, 273, 270, 5913, 692, 298, 514, 26517, 966, 4593, 13920, 568, 519, 5223, 540, 519, 5714, 779, 5860, 543, 519, 5714, 779, 6207, 25297, 269, 1452, 2418, 616, 585, 21598, 2464, 295, 1216, 269, 1280, 6070, 4248, 9062, 519, 10252, 26517, 25297, 540, 1216, 676, 476, 272, 269, 271, 2190, 630, 528, 8726, 707, 9709, 1808, 8904, 786, 581, 6393, 1607, 32083, 7089, 786, 2995, 721, 2436, 513, 1880, 2095, 568, 22495, 541, 267, 538, 519, 5912, 7997, 267, 610, 568, 24360, 267, 543, 519, 1739, 5750, 3947, 519, 3622, 7608, 9832, 585, 891, 8928, 1384, 8368, 476, 274, 281, 20556, 1063, 32083, 7089, 543, 7392, 540, 10046, 454, 3725, 2106, 9529, 7089, 23044, 7392, 454, 31686, 2999, 476, 15996, 271, 299, 3133, 541, 454, 15996, 271, 2999, 28251, 2999, 476, 6110, 271, 9558, 819, 531, 454, 6110, 271, 2999, 28251, 307, 7875, 12040, 692, 2690, 1034, 540, 938, 3498, 519, 2095, 998, 519, 12992, 786, 3622, 581, 24360, 780, 5629, 519, 1826, 540, 2095, 568, 5462, 267, 519, 1985, 1900, 568, 547, 5173, 519, 11508, 3815, 780, 763, 28239, 344, 17817, 568, 1031, 547, 5173, 519, 10155, 1652, 11508, 3815, 535, 269, 543, 24865, 689, 513, 1957, 3370, 676, 11066, 674, 269, 28239, 344, 538, 476, 3707, 275, 269, 15380, 519, 2418, 666, 581, 1224, 1055, 513, 28239, 344, 6516, 630, 5408, 5291, 2517, 4178, 6230, 652, 644, 550, 2593, 11721, 1663, 1749, 8276, 797, 344, 21867, 585, 513, 28239, 344, 15873, 264, 799, 568, 2813, 1210, 519, 23045, 15842, 758, 268, 19669, 4542, 692, 8489, 1384, 1892, 535, 568, 519, 11508, 3815, 454, 1892, 31330, 815, 11315, 1145, 3815, 630, 10090, 958, 1547, 1822, 22650, 10264, 585, 31668, 10612, 8094, 1892, 667, 815, 8006, 538, 6279, 454, 1892, 1234, 815, 28574, 1245, 779, 1297, 692, 763, 3830, 568, 2352, 547, 4194, 538, 2673, 1106, 2094, 535, 5526, 593, 1312, 5011, 540, 519, 3830, 269, 898, 814, 547, 581, 12193, 6746, 1227, 780, 763, 4210, 877, 324, 11219, 664, 19406, 666, 581, 1031, 547, 5173, 519, 11508, 3815, 896, 1978, 2175, 630, 3602, 31330, 22230, 2999, 1547, 6349, 543, 1234, 3436, 476, 4968, 271, 1070, 543, 3947, 2164, 1369, 476, 274, 260, 540, 519, 2164, 5833, 689, 519, 28239, 344, 6516, 269, 898, 814, 519, 5413, 540, 1373, 3362, 23553, 538, 513, 2780, 610, 9498, 269, 1280, 1034, 540, 519, 16983, 3156, 519, 2095, 568, 24360, 269, 634, 4210, 877, 324, 11219, 664, 19406, 585, 519, 11508, 3815, 568, 607, 5205, 1384, 5194, 14595, 4542, 2016, 676, 12794, 531, 663, 607, 5205, 666, 581, 1031, 543, 519, 1267, 9775, 1447, 982, 476, 273, 260, 540, 519, 28239, 344, 15873, 269, 1496, 27270, 316, 780, 8794, 713, 267, 607, 606, 1383, 1577, 721, 12337, 519, 11508, 2530, 538, 476, 1911, 1111, 540, 476, 272, 892, 31668, 10612, 609, 513, 2095, 2557, 540, 476, 1789, 13382, 300, 585, 6070, 4248, 693, 476, 3199, 334, 293, 780, 11693, 1384, 1892, 700, 815, 1911, 1111, 454, 1892, 667, 815, 476, 272, 269, 271, 5392, 892, 630, 288, 476, 272, 892, 10612, 814, 10155, 540, 476, 272, 269, 271, 5392, 892, 994, 1892, 1627, 815, 476, 736, 13382, 300, 454, 1892, 13179, 815, 476, 280, 269, 271, 3607, 274, 1535, 476, 1015, 268, 277, 10264, 273, 270, 5913, 2608, 476, 272, 269, 271, 2190, 815, 476, 280, 269, 21857, 272, 1535, 476, 1015, 268, 277, 10264, 273, 270, 5913, 454, 1892, 20653, 6290, 815, 476, 271, 269, 2412, 279, 276, 265, 1789, 14370, 272, 269, 271, 5392, 264, 273, 815, 476, 1556, 269, 15793, 10264, 270, 5913, 692, 763, 11508, 3815, 535, 17223, 1210, 4210, 600, 1889, 11219, 664, 3830, 815, 476, 271, 269, 25171, 2918, 692, 763, 2698, 11508, 2530, 670, 325, 815, 476, 4375, 269, 10170, 692, 763, 1871, 2687, 547, 519, 3370, 12125, 630, 22372, 593, 18171, 523, 8862, 650, 3554, 338, 264, 585, 31668, 8430, 476, 2412, 10612, 568, 476, 5379, 269, 5400, 543, 568, 811, 15061, 982, 519, 1267, 5833, 1210, 519, 12044, 4834, 780, 1012, 19724, 13809, 525, 692, 2690, 1022, 10612, 1062, 267, 538, 1840, 547, 519, 11508, 9271, 267, 972, 616, 3606, 9271, 1572, 5634, 9271, 630, 24392, 538, 938, 2013, 891, 9271, 949, 2484, 9765, 519, 11508, 2530, 1040, 1452, 9271, 8451, 1813, 547, 519, 10612, 13675, 543, 14827, 267, 6727, 7269, 610, 19432, 267, 536, 1742, 267, 1714, 28647, 267, 543, 824, 3514, 14005, 267, 17901, 267, 3092, 780, 2080, 1586, 519, 12170, 1505, 666, 581, 1031, 547, 3313, 519, 4187, 1813, 547, 519, 3514, 14005, 269, 634, 11508, 2530, 538, 519, 3349, 476, 275, 2630, 568, 6829, 538, 2474, 540, 6697, 3952, 540, 2786, 10612, 269, 1548, 713, 1797, 568, 602, 519, 2179, 540, 11508, 2813, 676, 519, 3514, 14005, 568, 519, 1482, 607, 602, 540, 519, 9138, 2786, 10612, 269, 1284, 666, 1039, 713, 3259, 540, 2786, 10612, 547, 519, 2698, 10612, 3259, 538, 519, 1062, 543, 12337, 519, 11508, 2530, 780, 8368, 476, 275, 281, 674, 9689, 13809, 525, 538, 31668, 3514, 14005, 281, 674, 9689, 13809, 538, 31668, 674, 8636, 902, 815, 4982, 20884, 32243, 540, 18135, 697, 623, 6559, 630, 303, 6559, 12025, 994, 293, 9231, 272, 270, 273, 16357, 274, 270, 275, 16357, 272, 16357, 272, 476, 272, 270, 275, 16357, 272, 476, 272, 270, 273, 16357, 273, 16357, 274, 16357, 275, 16357, 454, 3445, 20700, 289, 8582, 272, 269, 276, 2420, 269, 22724, 5379, 279, 1321, 454, 3393, 20700, 289, 8582, 271, 269, 4037, 272, 272, 269, 6078, 269, 4037, 273, 273, 269, 276, 3393, 454, 294, 12442, 966, 3201, 12717, 271, 269, 1789, 269, 2412, 269, 2568, 269, 279, 1556, 269, 7367, 454, 307, 7417, 6363, 869, 7304, 7419, 1556, 269, 6078, 269, 7761, 269, 3953, 269, 10619, 269, 3607, 269, 4343, 269, 274, 454, 307, 7417, 6363, 869, 5174, 13361, 27174, 4281, 272, 21327, 2420, 692, 5194, 811, 11807, 1935, 568, 547, 946, 519, 2530, 11664, 540, 1142, 11769, 538, 519, 21818, 1062, 630, 21865, 6027, 4603, 958, 543, 17047, 547, 10612, 2095, 6724, 6393, 763, 2212, 2530, 2066, 1142, 17501, 568, 1287, 5833, 1210, 713, 3830, 1384, 8489, 1384, 1892, 670, 332, 815, 2212, 2530, 538, 3952, 454, 1892, 918, 815, 2530, 11664, 454, 1892, 966, 815, 6991, 538, 674, 339, 829, 5822, 454, 1892, 575, 815, 8904, 476, 3953, 269, 273, 10264, 4882, 273, 692, 763, 4187, 14170, 630, 298, 264, 585, 519, 17901, 543, 3514, 14005, 616, 2139, 607, 7515, 269, 589, 1434, 2707, 568, 585, 891, 14170, 568, 8940, 4877, 2794, 14492, 269, 7305, 476, 276, 25735, 2630, 666, 581, 1336, 693, 5291, 2517, 335, 2794, 14492, 11721, 9689, 11907, 11721, 878, 29754, 7257, 14005, 21867, 1547, 769, 1840, 547, 3246, 519, 918, 2418, 267, 713, 3349, 849, 814, 513, 6241, 585, 700, 22230, 269, 901, 700, 22230, 666, 849, 581, 1031, 2047, 538, 3830, 630, 276, 264, 547, 5173, 519, 11508, 2530, 585, 1142, 17501, 269, 2290, 4062, 540, 1239, 7508, 689, 3349, 476, 276, 568, 519, 918, 610, 700, 22230, 2418, 585, 23993, 610, 9769, 3514, 14005, 799, 616, 513, 1455, 6221, 538, 16983, 21818, 269, 15380, 20926, 2418, 540, 918, 585, 23993, 270, 684, 542, 2039, 1063, 476, 271, 269, 6349, 268, 271, 269, 6860, 267, 609, 700, 22230, 284, 273, 780, 8368, 476, 276, 281, 674, 9689, 13809, 3213, 324, 13266, 585, 623, 6559, 674, 8636, 902, 1107, 18650, 3213, 324, 2310, 918, 630, 2224, 538, 4542, 554, 325, 815, 918, 341, 11054, 270, 273, 326, 994, 293, 9231, 299, 22230, 301, 558, 1400, 623, 6559, 12025, 454, 16006, 382, 378, 272, 2420, 16006, 268, 31798, 279, 268, 6200, 273, 268, 14065, 279, 268, 2190, 454, 298, 10025, 454, 17951, 548, 4406, 557, 4649, 272, 269, 4366, 272, 269, 4343, 272, 269, 27244, 269, 21076, 269, 14065, 269, 30588, 269, 31275, 269, 280, 2412, 269, 279, 1789, 269, 278, 3583, 269, 24798, 269, 5780, 454, 17951, 548, 4406, 557, 5611, 275, 269, 4962, 274, 269, 4037, 274, 269, 28526, 269, 24062, 269, 13923, 269, 5952, 273, 269, 3583, 273, 269, 4649, 273, 269, 21857, 269, 6200, 269, 4817, 272, 269, 3199, 454, 30761, 4406, 557, 1789, 269, 24699, 269, 24699, 269, 271, 3583, 269, 271, 3583, 269, 271, 2568, 269, 271, 2568, 269, 30588, 269, 30588 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1384, 763, 3113, 2982, 602, 2348, 513, 1351, 4689, 25170, 2164, 538, 811, 14203, 12761, 982, 711, 2348, 835, 269, 634, 2450, 540, 25170, 1500, 1360, 2370, 3017, 1384, 2171, 666, 3514, 519, 2203, 1210, 21302, 3436, 14424, 31283, 3436, 2290, 8862, 599, 30654, 26612, 634, 1292, 13972, 4216, 1058, 1413, 899, 713, 1384, 2414, 1449, 938, 19165, 649, 991, 547, 4283, 519, 1739, 9479, 585, 519, 24716, 1384, 6944, 2858, 3143, 23374, 3687, 2711, 25170, 4856, 4689, 25170, 454, 5591, 25170, 5288, 269, 1109, 16466, 910, 273, 476, 272, 476, 272, 454, 14737, 2711, 5288, 269, 1109, 14585, 4689, 476, 271, 910, 272, 476, 272, 692, 6944, 2858, 476, 272, 4255, 8367, 476, 272, 281, 602, 2348, 513, 11350, 15134, 786, 771, 2897, 811, 14203, 982, 711, 269, 1677, 1449, 713, 649, 5635, 519, 1079, 2175, 609, 513, 25170, 1996, 519, 1852, 2783, 630, 7224, 25170, 1040, 1924, 649, 5635, 32004, 476, 272, 630, 7224, 25170, 264, 547, 32004, 476, 273, 630, 2381, 2711, 25170, 267, 1351, 4689, 25170, 1040, 634, 2338, 8655, 547, 519, 2516, 616, 519, 1297, 540, 2516, 538, 519, 6587, 32004, 267, 543, 1287, 649, 14477, 8655, 835, 32004, 547, 581, 513, 2942, 1871, 630, 1492, 9479, 476, 273, 267, 6567, 272, 267, 6567, 272, 1131, 960, 5386, 607, 1134, 1040, 1284, 4283, 891, 9479, 883, 590, 31723, 10803, 1210, 519, 25037, 338, 13972, 4216, 1384, 6944, 2858, 476, 273, 4255, 8367, 476, 273, 281, 519, 943, 718, 639, 609, 519, 3677, 1351, 4689, 25170, 786, 771, 2897, 811, 14203, 982, 519, 943, 718, 639, 609, 519, 8766, 1351, 4689, 25170, 269, 3689, 649, 1205, 7759, 540, 519, 1852, 943, 718, 639, 676, 26471, 513, 3009, 540, 476, 271, 282, 1985, 649, 5635, 32004, 476, 272, 630, 2381, 2711, 25170, 264, 547, 32004, 476, 273, 630, 14585, 4689, 25170, 1040, 634, 2338, 8655, 547, 519, 2516, 616, 519, 1297, 540, 2516, 538, 519, 6587, 32004, 267, 543, 1287, 649, 14477, 8655, 835, 32004, 547, 581, 513, 2942, 1871, 630, 1492, 9479, 476, 271, 267, 476, 272, 267, 6567, 272, 1131, 960, 5386, 607, 1134, 1040, 1284, 4283, 891, 9479, 883, 590, 31723, 10803, 1210, 519, 25037, 338, 13972, 4216, 1384, 2171, 1058, 849, 2307, 585, 28303, 585, 10636, 657, 1027, 2880, 640, 1210, 519, 18169, 13972, 4216, 1384, 763, 1292, 3977, 6645, 721, 602, 972, 729, 513, 1713, 1198, 540, 519, 1826, 540, 943, 718, 639, 267, 674, 263, 273, 267, 476, 1321, 264, 815, 476, 6078, 269, 6321, 267, 533, 2999, 1547, 9826, 269, 630, 1607, 568, 4010, 519, 1482, 1267, 607, 4080, 538, 519, 1957, 593, 2985, 476, 18231, 4700, 1703, 568, 849, 513, 1713, 5276, 7678, 267, 674, 263, 272, 267, 476, 1321, 264, 815, 476, 7830, 269, 5325, 267, 533, 3436, 1547, 9826, 267, 10834, 602, 811, 14203, 729, 19774, 607, 519, 25170, 2799, 630, 6011, 1197, 267, 4063, 689, 519, 3113, 602, 713, 1198, 9356, 519, 2333, 538, 12761, 607, 649, 979, 689, 1100, 25170, 547, 2348, 513, 25170, 282, 972, 568, 1100, 3063, 2333, 689, 2048, 2381, 2711, 25170, 685, 547, 2048, 14585, 4689, 25170, 685, 1040, 8074, 602, 1210, 7347, 674, 2389, 3949, 602, 2953, 585, 3668, 540, 4630, 23189, 519, 1198, 568, 1869, 3810, 1713, 630, 335, 815, 1547, 9826, 1210, 21969, 577, 779, 674, 267, 543, 533, 2999, 1547, 9826, 1210, 9466, 6363, 832, 344, 1492, 779, 674, 6393, 763, 1985, 3977, 1101, 569, 6645, 721, 602, 649, 9411, 938, 12035, 7157, 269, 8921, 519, 3349, 31002, 25037, 18873, 2982, 602, 8367, 476, 272, 568, 6462, 630, 4186, 2858, 476, 272, 2567, 2348, 930, 2186, 540, 25170, 3366, 547, 3152, 14203, 12761, 982, 711, 2348, 513, 25170, 267, 512, 263, 1321, 264, 815, 476, 280, 269, 1321, 267, 533, 2999, 1547, 9826, 269, 25037, 476, 273, 2982, 602, 8367, 476, 273, 568, 711, 6462, 281, 519, 2179, 540, 14203, 19774, 676, 519, 3339, 1351, 4689, 25170, 729, 711, 3648, 1114, 689, 519, 2179, 19774, 676, 513, 8766, 1351, 4689, 25170, 267, 512, 263, 1321, 264, 815, 6567, 271, 269, 6349, 267, 533, 815, 1547, 4200, 780, 258, 3848, 476, 1724, 692, 2414, 2196, 713, 2079, 649, 991, 547, 1569, 519, 1292, 13972, 4216, 676, 8939, 21302, 3436, 4937, 12430, 7844, 3436, 1133, 21725, 26612, 28463, 19873, 1049, 29758, 5362, 543, 547, 519, 4216, 31002, 667, 8817, 24438, 15545, 28463, 9751, 630, 328, 4318, 1421, 519, 1826, 540, 2866, 602, 519, 1126, 1185, 264, 547, 519, 4216, 31002, 674, 12089, 16748, 4433, 2567, 267, 543, 1287, 2824, 13834, 267, 6520, 543, 14662, 2752, 3633, 676, 8066, 1524, 595, 27530, 630, 414, 490, 502, 593, 513, 5672, 264, 1247, 596, 4945, 593, 891, 4632, 543, 8749, 873, 547, 519, 4216, 31002, 595, 20654, 622, 4433, 2567, 269, 634, 8737, 13972, 4216, 1058, 1413, 899, 713, 1384, 1103, 519, 3184, 649, 6743, 693, 875, 547, 2824, 24716, 267, 855, 1317, 938, 1292, 27667, 4756, 630, 1492, 1826, 540, 2866, 264, 814, 1152, 1079, 2157, 630, 27168, 610, 2942, 264, 649, 1810, 1406, 991, 24716, 281, 519, 1292, 1198, 540, 713, 4756, 666, 1152, 2992, 3604, 1063, 519, 1079, 2010, 540, 2866, 269, 1284, 666, 2307, 585, 14661, 1797, 543, 4164, 564, 337, 9193, 1498, 1384, 1103, 519, 1292, 3349, 267, 649, 666, 1294, 602, 1256, 1310, 9864, 1782, 856, 519, 2360, 540, 2085, 267, 4008, 543, 2067, 4160, 267, 519, 2866, 1185, 513, 1713, 1198, 593, 519, 7766, 9186, 6060, 267, 674, 263, 272, 267, 476, 4792, 264, 815, 476, 1724, 269, 6246, 267, 533, 2999, 1547, 9826, 780, 763, 14661, 1797, 2995, 721, 602, 4612, 1049, 12886, 941, 6793, 630, 327, 27941, 264, 1310, 2942, 2866, 630, 611, 3286, 532, 585, 2085, 267, 4008, 543, 14662, 2752, 3633, 1040, 901, 1267, 568, 607, 4397, 269, 898, 4667, 1287, 602, 4758, 1453, 5955, 602, 6645, 873, 547, 4612, 24813, 3871, 11874, 1281, 16578, 606, 4612, 1049, 9186, 602, 26251, 883, 4948, 3871, 267, 799, 568, 606, 1271, 1900, 2509, 1620, 875, 891, 12886, 1020, 780, 1103, 2474, 540, 519, 23656, 919, 267, 2085, 1705, 711, 723, 513, 1713, 3310, 593, 519, 11601, 540, 4612, 1049, 12886, 269, 1717, 267, 4160, 543, 4008, 1705, 28560, 649, 1413, 693, 519, 20368, 2678, 6480, 23660, 3349, 267, 649, 666, 946, 519, 12498, 2418, 547, 4612, 891, 2360, 269, 1280, 4160, 630, 17092, 2752, 3633, 1070, 536, 815, 476, 273, 269, 4905, 267, 799, 9356, 513, 2318, 2078, 269, 4475, 267, 607, 4160, 4679, 267, 519, 4612, 1049, 9186, 4679, 849, 630, 10472, 568, 1018, 596, 1131, 2503, 267, 1317, 14221, 1453, 1131, 581, 811, 2693, 547, 6923, 4612, 24813, 3871, 538, 513, 2942, 1259, 1040, 1403, 596, 2721, 513, 14649, 7120, 540, 519, 2078, 1063, 14662, 2752, 3633, 543, 19873, 1049, 29758, 5362, 596, 3580, 1294, 513, 1360, 8799, 2318, 2078, 269, 1280, 13834, 267, 536, 815, 476, 2918, 269, 1321, 267, 799, 1586, 568, 2318, 267, 855, 547, 4612, 713, 649, 991, 547, 917, 875, 519, 1453, 941, 27573, 538, 519, 1239, 9375, 269, 27258, 941, 27573, 607, 476, 272, 543, 6690, 607, 476, 273, 269, 4475, 267, 607, 513, 1126, 2048, 577, 5190, 685, 630, 2254, 12777, 264, 689, 513, 7911, 547, 513, 8004, 267, 741, 4612, 1049, 12886, 2333, 269, 769, 824, 1913, 267, 6690, 1397, 513, 6793, 2067, 12402, 547, 4612, 24813, 3871, 11874, 269, 901, 568, 5812, 609, 519, 4160, 3332, 267, 799, 2982, 602, 8951, 616, 811, 2693, 547, 723, 4160, 4713, 780, 3080, 1271, 3364, 547, 3314, 568, 602, 4352, 4160, 543, 4008, 6923, 4299, 2436, 1453, 14648, 24813, 3871, 11874, 267, 519, 2866, 630, 1492, 2833, 593, 519, 9813, 4541, 264, 1185, 606, 1198, 14577, 585, 891, 2067, 21274, 630, 514, 824, 1913, 267, 519, 2360, 540, 2866, 3112, 581, 6045, 676, 4008, 610, 2067, 4160, 2157, 538, 519, 3732, 6393, 5970, 513, 1413, 693, 519, 3312, 2376, 547, 1294, 875, 631, 9766, 1696, 620, 269, 1109, 516, 19959, 519, 2164, 540, 713, 2079, 1107, 713, 666, 948, 596, 547, 1294, 875, 596, 666, 1867, 707, 1378, 1239, 689, 606, 4888, 4596, 22849, 269, 630, 3080, 3787, 540, 1434, 2259, 602, 596, 1058, 4063, 568, 602, 789, 1867, 1198, 7306, 689, 741, 2079, 1107, 607, 596, 786, 1294, 689, 519, 1433, 3184, 267, 713, 568, 606, 5140, 3364, 547, 798, 24355, 258, 3848, 476, 1691, 692, 1012, 24613, 856, 593, 519, 533, 15127, 692, 2414, 798, 606, 5470, 3046, 5750, 585, 1797, 602, 616, 4830, 630, 328, 4318, 1421, 723, 2097, 689, 1114, 2516, 264, 5595, 26487, 593, 519, 7265, 1229, 5470, 3046, 5750, 12835, 538, 519, 15873, 12706, 518, 630, 5408, 519, 1433, 3184, 264, 543, 8749, 938, 4632, 883, 519, 3617, 6749, 10851, 269, 28463, 15850, 883, 2073, 8749, 6828, 883, 543, 8749, 11557, 621, 883, 1547, 901, 786, 1611, 602, 5470, 13063, 8204, 9038, 543, 8951, 786, 581, 10268, 538, 1114, 15437, 269, 634, 6192, 13972, 4216, 1058, 1413, 899, 713, 1384, 763, 5470, 3046, 3113, 2982, 602, 538, 1142, 1895, 519, 2367, 1185, 10057, 811, 4568, 982, 519, 2021, 630, 1492, 4544, 13063, 616, 26339, 982, 519, 2699, 13063, 585, 782, 2516, 5148, 713, 5267, 602, 972, 949, 581, 513, 1713, 1292, 1198, 540, 11557, 269, 1703, 568, 513, 11931, 2333, 538, 519, 4320, 540, 4568, 10057, 607, 649, 1847, 2059, 519, 6828, 4756, 1107, 519, 1100, 21003, 657, 267, 1100, 22815, 1424, 1895, 10057, 519, 2547, 2179, 540, 4568, 543, 519, 21003, 657, 543, 22815, 322, 902, 1895, 10057, 519, 4102, 2179, 540, 4568, 1107, 11021, 602, 972, 949, 581, 513, 1713, 1292, 1198, 540, 6828, 269, 901, 7678, 5526, 547, 581, 519, 1482, 585, 1312, 2367, 543, 2021, 267, 11021, 602, 519, 5872, 1198, 540, 11557, 543, 6828, 568, 12691, 547, 581, 1713, 780, 2171, 991, 547, 2932, 513, 476, 275, 630, 23024, 14939, 1895, 264, 6398, 476, 273, 630, 14054, 264, 1079, 17574, 4830, 30654, 593, 519, 2527, 540, 4568, 829, 1396, 516, 540, 17938, 4705, 7362, 269, 8564, 21302, 3436, 4937, 12430, 7844, 3436, 1133, 21725, 26612, 769, 519, 1292, 13972, 4216, 267, 8749, 519, 8200, 4756, 15850, 689, 519, 547, 519, 2230, 31002, 667, 8817, 24438, 281, 1547, 8564, 6828, 543, 11557, 8195, 676, 8066, 1524, 595, 27530, 630, 414, 490, 502, 593, 513, 5839, 264, 1247, 14467, 593, 519, 4632, 543, 8749, 873, 547, 519, 674, 12089, 16748, 4433, 2567, 4216, 1384, 4131, 779, 2307, 585, 930, 700, 16256, 2022, 554, 665, 4255, 630, 1729, 17932, 519, 2376, 17107, 7661, 267, 649, 3580, 2307, 585, 1198, 7306, 1384, 763, 1292, 30654, 2982, 513, 1713, 1292, 1198, 540, 3023, 267, 674, 263, 272, 267, 476, 4198, 278, 264, 815, 476, 1626, 269, 4510, 267, 533, 2999, 1547, 9826, 267, 11377, 9508, 7272, 317, 273, 815, 1547, 4905, 2330, 609, 513, 9864, 1696, 320, 16302, 540, 1547, 4905, 269, 9093, 630, 300, 815, 476, 271, 269, 866, 267, 12676, 815, 476, 271, 269, 1428, 264, 10057, 513, 3648, 2362, 2527, 540, 4568, 982, 2021, 630, 300, 815, 476, 271, 269, 1428, 267, 12676, 815, 476, 271, 269, 1556, 6393, 2467, 729, 849, 513, 1713, 1292, 1198, 540, 1895, 267, 674, 263, 274, 267, 476, 4198, 278, 264, 815, 476, 2918, 269, 6434, 267, 533, 2999, 1547, 9826, 267, 6695, 9508, 7272, 317, 273, 815, 1547, 6860, 21974, 5403, 554, 665, 4255, 630, 20479, 476, 274, 264, 7000, 602, 5171, 945, 1185, 1152, 22815, 322, 902, 630, 300, 815, 476, 271, 269, 2420, 264, 10057, 513, 3648, 3152, 2527, 540, 4568, 982, 1346, 945, 1152, 1185, 21003, 657, 630, 300, 815, 476, 271, 269, 1704, 264, 630, 548, 770, 1713, 3017, 630, 11862, 291, 264, 1449, 267, 533, 2999, 1547, 9826, 264, 543, 1346, 945, 1185, 1100, 21003, 657, 543, 1100, 22815, 322, 902, 630, 300, 815, 476, 271, 269, 1428, 264, 630, 11862, 291, 1449, 267, 533, 2999, 1547, 9826, 1040, 19893, 945, 1185, 1312, 21003, 657, 543, 22815, 322, 902, 630, 300, 815, 476, 271, 269, 1839, 264, 10057, 513, 3648, 3152, 2527, 540, 4568, 982, 1346, 945, 1152, 1185, 21003, 657, 630, 300, 815, 476, 271, 269, 1704, 264, 630, 11862, 291, 1449, 267, 533, 2999, 1547, 9826, 1070, 543, 1346, 945, 1185, 1100, 21003, 657, 543, 1100, 22815, 322, 902, 630, 300, 815, 476, 271, 269, 1428, 264, 630, 11862, 291, 1449, 267, 533, 2999, 1547, 9826, 1040, 1717, 267, 789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 8429, 998, 28108, 829, 1770, 942, 780, 257, 719, 2515, 257, 562, 28108, 692, 257, 1231, 728, 4840, 19127, 5991, 642, 288, 454, 341, 288, 692, 14179, 2541, 25626, 856, 829, 1770, 692, 5503, 815, 910, 333, 642, 288, 28108, 454, 8993, 269, 476, 274, 692, 322, 288, 568, 1644, 547, 519, 2698, 24855, 5834, 524, 630, 322, 568, 18253, 540, 5536, 267, 28000, 540, 9325, 1826, 267, 829, 454, 14179, 2541, 264, 3842, 454, 290, 23813, 476, 277, 3451, 274, 267, 23821, 1157, 344, 476, 274, 692, 322, 288, 815, 1535, 10907, 630, 274, 2020, 3602, 1535, 288, 568, 519, 3727, 6824, 540, 589, 269, 5681, 2719, 936, 519, 3727, 8454, 540, 782, 2249, 1590, 3132, 9322, 454, 3799, 11224, 519, 2698, 1297, 540, 1114, 2249, 1459, 538, 3070, 1070, 692, 333, 454, 3495, 476, 272, 630, 275, 994, 328, 476, 272, 692, 20118, 267, 649, 666, 849, 5581, 513, 2527, 13441, 540, 589, 267, 562, 288, 630, 28493, 281, 2527, 540, 589, 14370, 19327, 942, 264, 16532, 692, 333, 288, 815, 589, 642, 288, 630, 276, 2020, 2080, 267, 642, 288, 568, 1869, 519, 6991, 540, 2249, 589, 267, 4010, 519, 1482, 607, 538, 3830, 476, 272, 269, 589, 568, 519, 2527, 454, 935, 1417, 1674, 540, 589, 630, 21346, 540, 589, 829, 4320, 540, 3070, 1070, 692, 288, 815, 589, 630, 277, 2020, 3602, 568, 519, 2698, 5860, 630, 568, 519, 2040, 4364, 2527, 540, 782, 5536, 267, 28000, 540, 9325, 1826, 267, 829, 454, 14179, 2541, 264, 540, 519, 3070, 543, 589, 568, 1572, 519, 2527, 6824, 540, 589, 630, 328, 4318, 269, 589, 815, 589, 270, 1040, 5681, 2719, 519, 2527, 454, 325, 10330, 540, 782, 2249, 1590, 3160, 9322, 692, 333, 454, 328, 476, 272, 630, 278, 994, 328, 476, 272, 692, 2026, 5892, 7150, 267, 538, 2489, 1142, 3114, 2249, 834, 328, 257, 538, 513, 24352, 20234, 9426, 7848, 814, 513, 1114, 454, 767, 6290, 19274, 269, 1717, 267, 621, 786, 18562, 6961, 10375, 547, 5581, 606, 3328, 6991, 540, 519, 13557, 454, 22381, 573, 267, 513, 6991, 602, 4564, 606, 3328, 936, 782, 519, 19274, 781, 269, 769, 2489, 267, 1614, 2010, 540, 3328, 29702, 454, 732, 6964, 281, 2527, 3328, 6991, 642, 630, 341, 568, 1018, 568, 2356, 18808, 609, 538, 29079, 23317, 1070, 24855, 454, 320, 2071, 6991, 966, 267, 543, 4320, 3328, 6991, 21350, 269, 1284, 786, 1152, 4308, 609, 519, 1101, 1079, 3328, 454, 767, 665, 885, 267, 3989, 607, 5205, 1384, 333, 454, 341, 284, 1775, 642, 1775, 630, 279, 994, 328, 476, 272, 692, 333, 454, 309, 284, 1535, 328, 642, 1775, 630, 280, 994, 328, 476, 272, 454, 290, 23813, 476, 277, 3451, 274, 267, 23821, 1157, 344, 476, 275, 692, 5804, 922, 4214, 267, 642, 568, 513, 2527, 6824, 1759, 3328, 540, 519, 1367, 2249, 262, 29702, 267, 1247, 966, 568, 513, 454, 333, 454, 332, 1961, 6824, 1759, 3328, 269, 898, 666, 581, 3254, 602, 952, 2698, 5860, 815, 1775, 568, 3586, 28000, 540, 454, 328, 476, 272, 454, 333, 454, 1260, 6570, 267, 543, 952, 519, 2698, 24855, 5834, 524, 815, 524, 328, 568, 3586, 28000, 540, 5888, 267, 1287, 454, 328, 476, 272, 454, 341, 815, 966, 269, 898, 666, 2417, 581, 3254, 602, 952, 782, 5536, 723, 519, 1482, 2527, 544, 267, 865, 602, 11465, 815, 544, 585, 782, 1775, 1141, 11465, 454, 529, 2527, 540, 1775, 1826, 5536, 267, 1287, 1535, 328, 815, 1775, 543, 4061, 642, 815, 966, 780, 3963, 21898, 609, 1079, 1114, 3328, 29702, 286, 634, 2527, 3328, 6991, 568, 1018, 568, 2877, 538, 454, 3225, 725, 971, 607, 519, 18937, 1512, 853, 10280, 4834, 267, 799, 4308, 609, 11610, 267, 513, 3959, 602, 5673, 593, 454, 6011, 1454, 2527, 568, 538, 5163, 269, 4935, 267, 519, 2179, 540, 11610, 829, 1770, 4320, 540, 513, 13576, 454, 20123, 545, 20234, 9426, 7848, 568, 642, 630, 642, 815, 544, 341, 270, 24127, 267, 1141, 544, 568, 519, 2698, 2527, 10707, 609, 6991, 642, 3248, 332, 270, 24127, 815, 3738, 282, 3976, 11610, 1590, 581, 7229, 1210, 519, 2527, 3328, 6991, 642, 269, 6684, 267, 519, 454, 13420, 566, 540, 8033, 8462, 20475, 5726, 540, 2527, 267, 543, 568, 13974, 2854, 538, 2474, 540, 642, 269, 634, 454, 874, 9713, 4031, 6829, 676, 891, 4834, 630, 4621, 3569, 540, 11610, 267, 5726, 540, 2527, 264, 798, 711, 454, 323, 2570, 593, 519, 18253, 540, 5536, 3238, 267, 855, 789, 798, 4096, 593, 519, 2527, 540, 519, 5536, 563, 4002, 519, 824, 1688, 267, 950, 7231, 609, 2527, 4483, 267, 649, 786, 1294, 602, 621, 568, 1455, 547, 2328, 930, 454, 1993, 519, 2596, 4834, 538, 2474, 540, 966, 607, 1134, 607, 642, 269, 634, 2601, 585, 1210, 966, 267, 538, 1840, 547, 642, 267, 568, 454, 935, 1597, 1466, 269, 1280, 3236, 267, 952, 538, 513, 1880, 1966, 972, 568, 1100, 13557, 2095, 540, 5536, 689, 835, 4087, 454, 1729, 1776, 865, 602, 267, 1282, 519, 2527, 4483, 1184, 519, 1297, 540, 5536, 693, 1142, 1448, 538, 2230, 13978, 454, 1492, 1482, 267, 1287, 966, 815, 476, 271, 269, 17553, 966, 547, 4642, 29776, 519, 6128, 269, 7612, 476, 272, 693, 519, 4098, 540, 713, 454, 8518, 719, 2488, 606, 1383, 269, 5994, 602, 267, 538, 741, 9674, 1533, 607, 6537, 267, 589, 543, 645, 616, 1312, 4998, 454, 326, 1162, 693, 519, 1482, 2604, 533, 543, 2837, 570, 269, 3973, 267, 689, 519, 4998, 3154, 3830, 267, 519, 24855, 454, 935, 1417, 1674, 540, 589, 543, 645, 568, 519, 1482, 10484, 322, 288, 815, 524, 289, 815, 524, 815, 533, 270, 20670, 630, 305, 815, 3154, 3586, 2020, 763, 7862, 540, 524, 288, 543, 524, 289, 547, 519, 2698, 5834, 524, 568, 3617, 1317, 519, 9362, 616, 6986, 282, 3976, 538, 454, 26421, 26654, 519, 5834, 540, 519, 3154, 630, 288, 610, 645, 264, 1590, 849, 3160, 519, 2698, 5834, 524, 269, 2991, 454, 1492, 19459, 3774, 568, 6569, 267, 5536, 540, 589, 543, 645, 786, 3575, 2394, 513, 7833, 5888, 568, 6913, 454, 10843, 719, 519, 6077, 269, 769, 519, 3803, 1533, 267, 14322, 519, 9362, 2611, 4998, 950, 6404, 267, 519, 1871, 540, 533, 543, 454, 307, 786, 2611, 519, 1482, 607, 538, 519, 29267, 12089, 1533, 543, 4061, 519, 2698, 5834, 524, 849, 3788, 519, 454, 338, 877, 267, 524, 815, 533, 270, 20670, 630, 335, 568, 1631, 519, 2698, 2604, 267, 513, 2040, 540, 519, 9864, 12503, 540, 589, 543, 645, 1040, 4935, 267, 538, 519, 3803, 454, 332, 12089, 1533, 267, 519, 1297, 540, 5536, 829, 4320, 524, 630, 1877, 513, 2040, 540, 5536, 540, 589, 543, 645, 2010, 264, 568, 519, 1482, 454, 553, 519, 1297, 540, 5536, 829, 4320, 538, 519, 3355, 29267, 12089, 1533, 269, 4935, 11544, 3812, 1100, 2121, 4483, 454, 1993, 5536, 689, 835, 2427, 540, 519, 6077, 547, 519, 824, 267, 621, 1152, 6404, 519, 1114, 9325, 2010, 1927, 563, 15152, 891, 2175, 267, 950, 972, 568, 711, 2121, 4483, 540, 5536, 689, 835, 851, 540, 513, 1062, 547, 1776, 2676, 309, 815, 476, 271, 563, 1103, 4334, 267, 585, 519, 1482, 11544, 1184, 267, 538, 2489, 642, 786, 711, 581, 4642, 269, 1280, 1383, 267, 4952, 602, 454, 21346, 540, 589, 5536, 568, 7466, 607, 1804, 607, 602, 540, 645, 5536, 269, 3973, 538, 519, 3355, 29267, 12089, 1533, 519, 2451, 1688, 454, 2515, 540, 519, 6077, 630, 325, 2683, 609, 589, 264, 3568, 811, 2527, 267, 543, 519, 5860, 630, 21346, 270, 14179, 2541, 264, 540, 519, 3154, 589, 568, 454, 327, 27941, 982, 602, 540, 645, 1256, 1498, 922, 5834, 630, 4820, 2873, 270, 14179, 2541, 264, 568, 519, 1482, 269, 4495, 589, 543, 645, 3575, 2676, 6011, 1197, 267, 519, 5860, 10876, 786, 1831, 7833, 269, 1280, 713, 7833, 640, 547, 581, 6913, 2527, 1590, 454, 290, 23813, 476, 277, 3451, 274, 267, 23821, 1157, 344, 476, 276, 692, 17647, 1044, 11843, 689, 519, 589, 2427, 547, 519, 645, 2427, 282, 4061, 267, 538, 4334, 547, 519, 24855, 3328, 6991, 454, 309, 267, 519, 2527, 3328, 6991, 642, 729, 711, 4642, 1282, 519, 11544, 1184, 780, 273, 269, 6715, 1537, 543, 27018, 7195, 1734, 593, 11906, 15661, 269, 1284, 786, 3277, 547, 519, 2249, 896, 454, 4621, 573, 3130, 607, 2249, 589, 269, 11374, 513, 8174, 566, 602, 19320, 602, 6964, 585, 519, 824, 5726, 454, 331, 9155, 267, 519, 1101, 1900, 538, 519, 8174, 566, 540, 513, 5726, 1876, 593, 519, 2179, 540, 2249, 589, 568, 547, 1685, 513, 454, 25270, 585, 513, 6806, 1852, 4320, 966, 8339, 966, 262, 568, 20583, 676, 513, 6806, 2627, 645, 630, 8993, 269, 476, 275, 6393, 8993, 269, 275, 692, 763, 2179, 540, 2249, 589, 3330, 966, 262, 666, 1689, 2901, 1813, 547, 28681, 998, 519, 10465, 645, 2676, 528, 676, 5108, 270, 4621, 18870, 540, 589, 1813, 547, 513, 3114, 5114, 269, 769, 1913, 267, 519, 5726, 585, 2249, 589, 454, 4754, 7150, 607, 1384, 16914, 636, 1637, 540, 589, 538, 966, 262, 815, 28681, 540, 589, 883, 966, 262, 1341, 5108, 540, 589, 676, 3114, 6547, 692, 263, 1015, 2020, 2304, 7533, 24855, 3666, 593, 2249, 589, 267, 5340, 936, 519, 1852, 4320, 966, 3299, 568, 2854, 692, 323, 454, 19049, 454, 322, 589, 546, 309, 1412, 815, 524, 589, 642, 589, 562, 28108, 30492, 305, 589, 546, 309, 1412, 630, 1556, 994, 309, 262, 645, 454, 309, 28847, 333, 568, 519, 21286, 1770, 3339, 6152, 547, 2627, 645, 267, 711, 547, 581, 11821, 609, 519, 2527, 13441, 562, 328, 815, 1775, 19274, 540, 454, 14588, 2886, 1775, 269, 2201, 519, 2451, 2427, 267, 524, 288, 568, 5834, 540, 589, 538, 18253, 829, 4320, 282, 3976, 524, 3849, 309, 262, 568, 519, 1297, 540, 454, 332, 3421, 540, 589, 538, 513, 11186, 4320, 546, 309, 8339, 23889, 630, 328, 4318, 269, 2040, 2719, 264, 713, 2165, 936, 519, 3003, 1852, 454, 14179, 2541, 966, 262, 11729, 519, 2698, 1297, 540, 18253, 540, 589, 538, 966, 262, 282, 519, 942, 12045, 540, 713, 7533, 568, 519, 2557, 540, 454, 4219, 540, 18253, 540, 589, 3330, 966, 262, 630, 28493, 281, 18253, 270, 5503, 1040, 4935, 267, 519, 2451, 1688, 2165, 568, 1175, 519, 2557, 540, 454, 3147, 636, 1637, 540, 589, 538, 966, 3299, 6829, 538, 24855, 4559, 563, 763, 13250, 2165, 11224, 519, 2557, 693, 799, 589, 568, 12768, 551, 539, 883, 966, 262, 630, 272, 560, 2165, 593, 1318, 264, 7132, 454, 1492, 2557, 693, 799, 589, 568, 6383, 3330, 966, 262, 676, 513, 24267, 3114, 5114, 630, 273, 526, 2165, 593, 1318, 1040, 634, 454, 935, 557, 794, 2165, 666, 581, 6956, 676, 13288, 547, 8431, 269, 476, 276, 269, 642, 288, 562, 568, 519, 5057, 540, 519, 2249, 454, 290, 23813, 476, 277, 3451, 274, 267, 23821, 1157, 344, 476, 277, 692, 767, 6290, 13902, 547, 645, 267, 865, 602, 642, 288, 26998, 289, 568, 519, 2019, 636, 13011, 2095, 3433, 2066, 519, 1858, 3693, 28108, 585, 454, 4820, 2873, 10707, 609, 513, 6991, 642, 288, 269, 5564, 28745, 713, 2019, 636, 13011, 2095, 3433, 676, 519, 18253, 540, 589, 829, 4320, 454, 29798, 538, 524, 13510, 288, 26998, 289, 267, 519, 24855, 2095, 3433, 540, 589, 998, 28108, 269, 5681, 2719, 782, 519, 24855, 2095, 6233, 936, 519, 454, 550, 790, 2627, 645, 1287, 5012, 547, 519, 28681, 2165, 630, 272, 560, 2165, 593, 1318, 264, 538, 3830, 630, 1556, 6393, 8993, 269, 476, 276, 692, 763, 476, 273, 526, 2165, 593, 519, 1318, 538, 3830, 630, 1556, 264, 4564, 2504, 540, 589, 676, 24267, 454, 516, 13905, 269, 589, 834, 327, 558, 15119, 257, 5114, 568, 835, 602, 4386, 2429, 519, 9703, 540, 966, 8339, 769, 4334, 267, 513, 454, 515, 614, 15119, 3114, 5114, 1131, 581, 835, 602, 4386, 1152, 693, 606, 8818, 585, 3236, 267, 1063, 513, 454, 338, 13521, 543, 513, 5277, 5123, 543, 568, 711, 7856, 2429, 519, 3003, 4320, 269, 634, 24855, 5114, 2557, 454, 6938, 814, 4559, 540, 18253, 14370, 14179, 2541, 942, 264, 543, 4564, 519, 2557, 693, 799, 18253, 540, 589, 616, 3812, 610, 454, 4621, 25390, 676, 782, 24267, 6547, 269, 681, 3849, 309, 262, 568, 519, 1297, 540, 18253, 540, 589, 3812, 3330, 513, 4320, 454, 324, 2211, 546, 309, 262, 829, 1770, 942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25147, 2825, 1981, 1344, 1369, 10512, 1981, 2359, 4566, 454, 10111, 787, 856, 4745, 11564, 543, 24422, 540, 1164, 16151, 4609, 609, 2825, 8041, 543, 2671, 1344, 827, 1761, 10898, 454, 18823, 1211, 4971, 619, 1058, 912, 13706, 5533, 6604, 1344, 8659, 538, 1981, 1344, 454, 25363, 618, 519, 2825, 4027, 3800, 4857, 538, 10512, 1981, 1344, 0, 305, 5451, 345, 20795, 339, 788, 340, 10540, 928, 25987, 579, 17487, 378, 644, 6403, 281, 929, 6403, 25155, 2088, 1558, 6759, 323, 737, 648, 330, 25155, 333, 383, 377, 577, 642, 3385, 454, 763, 18896, 781, 5023, 568, 513, 22787, 21454, 267, 28955, 607, 513, 1579, 1111, 538, 519, 1647, 540, 519, 6607, 20136, 2068, 568, 10483, 676, 513, 18670, 540, 7929, 1599, 267, 7965, 538, 4189, 10422, 987, 1108, 568, 9808, 9853, 609, 519, 1646, 540, 3875, 8374, 267, 543, 4061, 3340, 14849, 25471, 2126, 256, 8368, 540, 9115, 281, 634, 1579, 1111, 31370, 281, 519, 3123, 540, 519, 8919, 269, 2494, 28685, 725, 540, 21454, 269, 1548, 568, 519, 8594, 540, 21454, 286, 763, 18896, 5023, 281, 5106, 454, 763, 1579, 1111, 31370, 281, 519, 3123, 540, 519, 454, 3698, 624, 634, 1579, 1111, 31370, 10953, 1282, 519, 12499, 17458, 710, 1646, 267, 607, 513, 1267, 540, 16789, 1071, 2297, 12412, 540, 519, 11132, 5642, 8031, 563, 9616, 281, 18896, 5023, 568, 2808, 547, 581, 835, 540, 519, 1034, 7839, 22787, 2619, 3098, 269, 6097, 547, 8579, 1239, 267, 713, 2068, 4386, 538, 827, 835, 538, 476, 272, 267, 1822, 20169, 9002, 2336, 6097, 547, 7189, 267, 519, 1739, 2188, 666, 9594, 519, 4332, 540, 513, 1126, 609, 513, 18896, 5023, 912, 268, 4719, 32739, 3248, 268, 4636, 1259, 540, 1272, 540, 519, 2104, 3993, 267, 7296, 543, 4568, 6057, 3248, 268, 8801, 2825, 2175, 3248, 268, 4049, 1106, 540, 6757, 2670, 3248, 268, 519, 946, 540, 27640, 5328, 6878, 543, 2178, 3053, 3512, 21339, 263, 2523, 1282, 519, 1101, 959, 30478, 540, 6379, 11850, 268, 3735, 6379, 263, 519, 3993, 781, 2085, 1895, 568, 936, 476, 3374, 11850, 268, 2360, 593, 519, 1560, 540, 9176, 6757, 6878, 3248, 268, 10638, 540, 31447, 3679, 3248, 268, 15779, 14159, 7063, 1282, 6379, 3248, 268, 10510, 683, 21182, 916, 22297, 538, 519, 29897, 3148, 3248, 268, 568, 606, 11763, 13611, 2068, 563, 2414, 1291, 547, 519, 4332, 540, 513, 4816, 609, 513, 27690, 267, 9402, 2497, 540, 519, 6607, 666, 849, 7928, 28400, 655, 10899, 28654, 267, 936, 1740, 267, 7050, 2168, 2534, 543, 16789, 6484, 540, 519, 2104, 3993, 2336, 10048, 28685, 725, 540, 21454, 454, 763, 1579, 1111, 31370, 568, 711, 606, 9715, 23815, 8919, 269, 901, 21454, 28107, 3294, 5612, 1310, 519, 5920, 540, 519, 4816, 543, 568, 6353, 676, 519, 1739, 4791, 4191, 912, 268, 7929, 5821, 3248, 268, 7411, 538, 4189, 1426, 263, 519, 31027, 636, 1063, 519, 9224, 543, 5711, 13570, 538, 519, 1126, 568, 15534, 267, 865, 1312, 1426, 543, 5277, 666, 23309, 883, 519, 9224, 11850, 268, 6217, 4713, 3248, 268, 18670, 540, 4633, 1599, 3248, 268, 17799, 538, 2790, 543, 2168, 1646, 454, 1103, 1840, 267, 971, 1453, 616, 2523, 11630, 547, 19591, 2175, 267, 1419, 1831, 3615, 540, 7759, 545, 2544, 593, 519, 851, 540, 741, 9905, 267, 799, 5012, 547, 28400, 655, 10899, 7063, 543, 519, 1646, 540, 606, 17071, 640, 1950, 2336, 1432, 568, 519, 8594, 540, 21454, 888, 1103, 519, 9000, 540, 12905, 267, 19579, 2126, 267, 971, 513, 21454, 607, 519, 1579, 1111, 31370, 666, 1291, 547, 519, 1646, 540, 519, 1739, 5393, 24379, 8374, 912, 268, 22441, 540, 4522, 3248, 268, 11234, 11116, 3248, 268, 6217, 2530, 267, 1524, 547, 2698, 18555, 1145, 3248, 268, 4633, 4713, 3248, 268, 7929, 8778, 2068, 3248, 268, 17333, 4345, 2923, 3248, 30131, 256, 634, 18896, 781, 5023, 3123, 3978, 2042, 609, 519, 1514, 9542, 540, 519, 1126, 267, 519, 7411, 538, 7446, 513, 3924, 543, 519, 3919, 540, 519, 2123, 1272, 540, 476, 2336, 11997, 267, 952, 3237, 1616, 547, 2149, 741, 1126, 689, 4049, 2168, 4576, 543, 5626, 8194, 267, 1287, 519, 18896, 781, 5023, 1590, 581, 5701, 543, 267, 23295, 267, 607, 4166, 607, 2009, 2336, 763, 1579, 1111, 31370, 281, 20491, 454, 21675, 540, 519, 18896, 5023, 568, 5340, 676, 6391, 20136, 5106, 568, 1572, 2712, 534, 6955, 7360, 2529, 17790, 2126, 568, 6322, 693, 14874, 9402, 267, 27690, 1579, 822, 720, 538, 519, 3148, 540, 519, 6607, 563, 7628, 519, 5106, 267, 513, 11285, 32195, 519, 1579, 822, 720, 609, 513, 5160, 1166, 777, 3144, 689, 519, 2282, 2127, 540, 519, 522, 5268, 28449, 540, 519, 3461, 5128, 269, 13295, 267, 519, 8699, 540, 519, 5493, 520, 710, 8031, 543, 519, 1647, 943, 31099, 26654, 568, 17468, 563, 5475, 713, 267, 519, 1507, 3461, 568, 588, 17097, 267, 519, 5493, 7614, 2627, 568, 5701, 609, 606, 1884, 1047, 10364, 3070, 269, 4263, 519, 1439, 540, 519, 5650, 267, 519, 4387, 17303, 4025, 513, 4368, 894, 5493, 520, 710, 6676, 563, 2026, 513, 1267, 540, 3811, 2712, 534, 6955, 7360, 267, 519, 1739, 666, 581, 6913, 912, 268, 17594, 540, 606, 5007, 8919, 3248, 268, 3339, 1436, 540, 7929, 1599, 3248, 268, 7872, 540, 2407, 1922, 1194, 3022, 4633, 1646, 3248, 268, 3339, 1436, 540, 1426, 6981, 3157, 563, 5475, 519, 8078, 2218, 6051, 543, 14317, 1974, 267, 519, 1126, 781, 2783, 568, 28348, 543, 646, 5956, 547, 1020, 267, 899, 782, 824, 1453, 2336, 2691, 568, 2712, 534, 6955, 7360, 15333, 785, 5344, 888, 306, 17790, 2126, 540, 519, 18896, 5023, 267, 899, 824, 4238, 267, 814, 513, 1297, 540, 7687, 543, 15333, 785, 10716, 269, 7981, 1235, 798, 711, 4363, 10551, 6304, 538, 519, 1739, 2665, 912, 268, 11983, 1200, 333, 658, 21272, 3248, 268, 7929, 3676, 9648, 538, 606, 8650, 1106, 3248, 268, 8650, 11763, 3676, 3248, 268, 17422, 21454, 3248, 268, 14523, 6955, 14901, 540, 519, 5761, 3248, 268, 9025, 2068, 538, 513, 7294, 1106, 3248, 268, 7929, 11605, 3248, 268, 6285, 540, 3411, 6327, 3248, 268, 4049, 11095, 4731, 845, 725, 563, 8923, 4063, 2433, 6969, 7900, 513, 10551, 6304, 267, 596, 1058, 5077, 609, 971, 12665, 607, 4633, 13309, 267, 12963, 1014, 267, 11719, 626, 267, 17333, 565, 28640, 6048, 543, 3193, 650, 1993, 18432, 18874, 2336, 21995, 3741, 540, 2126, 454, 2005, 568, 5227, 547, 2932, 579, 1258, 6955, 7360, 31925, 519, 2182, 31370, 950, 519, 4816, 9428, 513, 2370, 269, 13229, 543, 2922, 10551, 2126, 540, 18896, 5023, 3340, 16601, 10220, 609, 519, 1739, 3741, 912, 268, 943, 1078, 6388, 3248, 268, 1367, 8990, 540, 519, 6099, 2085, 585, 519, 5106, 3248, 268, 12032, 540, 3797, 1354, 519, 2085, 540, 5722, 1453, 563, 9616, 281, 2687, 547, 7189, 267, 621, 568, 1655, 547, 2932, 2712, 534, 6955, 7360, 538, 519, 1974, 689, 476, 274, 547, 476, 277, 1296, 2336, 1103, 519, 9251, 1974, 267, 9002, 616, 1134, 7109, 730, 676, 23815, 6391, 543, 723, 942, 547, 4628, 9156, 1354, 10024, 1153, 256, 5475, 513, 3811, 2712, 534, 6955, 7360, 543, 513, 14317, 1576, 267, 513, 9659, 568, 6569, 689, 519, 1126, 267, 543, 646, 4991, 519, 4316, 547, 2661, 513, 2407, 1272, 267, 1020, 7363, 543, 1451, 2336, 22512, 538, 519, 2022, 268, 7774, 1974, 454, 2414, 4625, 9004, 519, 1966, 540, 519, 18896, 781, 5023, 267, 513, 1507, 3461, 786, 1034, 2693, 723, 547, 10929, 513, 1297, 540, 10551, 7459, 269, 2690, 1896, 4374, 519, 1126, 1058, 581, 538, 519, 16758, 267, 896, 519, 3586, 15569, 540, 12665, 563, 22102, 2550, 616, 11311, 15084, 267, 1387, 2471, 545, 543, 4550, 13611, 5061, 267, 799, 616, 5697, 14350, 269, 9336, 1906, 2395, 267, 7189, 1118, 10571, 902, 543, 18552, 10549, 563, 2690, 519, 1034, 4028, 6051, 543, 6604, 540, 2009, 8374, 267, 621, 568, 1271, 547, 2327, 519, 1126, 519, 2953, 267, 2407, 1922, 1194, 3022, 1416, 563, 2414, 3035, 891, 3853, 267, 3237, 1058, 646, 539, 519, 1739, 7840, 540, 12665, 912, 268, 1280, 513, 1906, 2395, 1310, 519, 6391, 267, 1683, 513, 1507, 3461, 609, 5127, 1964, 543, 6207, 1964, 563, 268, 1677, 3049, 519, 4816, 609, 1769, 1426, 263, 5277, 610, 669, 5792, 1070, 693, 4055, 2837, 563, 268, 9796, 2027, 3007, 547, 519, 9882, 540, 519, 1126, 781, 5711, 13570, 563, 9616, 281, 519, 8653, 540, 519, 6051, 1974, 1310, 2712, 534, 6955, 7360, 666, 581, 267, 593, 3328, 267, 689, 476, 273, 4374, 547, 476, 272, 269, 276, 3275, 563, 3383, 602, 519, 4816, 609, 519, 18896, 5023, 6794, 1223, 4628, 9156, 267, 1175, 8876, 856, 519, 5106, 593, 2712, 534, 6955, 7360, 786, 711, 581, 2614, 256, 288, 2407, 14317, 1576, 3322, 5464, 513, 11285, 971, 607, 513, 11290, 268, 2180, 16599, 626, 945, 21697, 519, 3339, 1646, 540, 519, 1126, 781, 5580, 10265, 267, 519, 5250, 540, 513, 1697, 11116, 543, 519, 5223, 540, 519, 7202, 819, 563, 2005, 568, 2556, 547, 4497, 609, 971, 1453, 609, 4633, 16293, 543, 8919, 5505, 2529, 1276, 5751, 616, 2556, 585, 519, 3339, 1646, 540, 4633, 1599, 267, 15494, 540, 7244, 267, 4259, 909, 2953, 4633, 543, 14874, 2009, 4633, 12889, 269, 9827, 267, 519, 4633, 13309, 12413, 624, 6048, 568, 7722, 538, 519, 1646, 540, 519, 1126, 781, 2571, 31370, 543, 6454, 540, 1010, 13994, 1637, 20193, 568, 1271, 547, 1780, 971, 513, 1576, 10502, 693, 519, 9251, 2085, 865, 602, 519, 1126, 666, 4283, 513, 3339, 1153, 543, 1020, 4628, 2336, 2005, 568, 2556, 602, 1310, 519, 11843, 2712, 534, 6955, 7360, 263, 1282, 519, 14317, 1974, 264, 519, 1126, 568, 7683, 4767, 538, 519, 1453, 781, 17333, 565, 28640, 6048, 269, 5475, 782, 267, 891, 9002, 616, 2523, 12155, 547, 3676, 543, 2619, 3098, 540, 519, 5580, 7929, 8778, 563, 763, 2407, 14317, 1576, 1310, 519, 11843, 2712, 534, 6955, 7360, 2882, 519, 1739, 912, 268, 5751, 538, 9354, 27590, 10415, 3248, 268, 6030, 540, 4633, 3797, 18552, 3248, 268, 1610, 23956, 5773, 563, 763, 2164, 540, 519, 10551, 5650, 1831, 18476, 513, 1906, 4374, 1310, 519, 5106, 267, 950, 519, 11926, 4422, 2476, 269, 7230, 1622, 593, 519, 3068, 540, 519, 26711, 666, 581, 6569, 2663, 609, 513, 8955, 563, 1692, 547, 24633, 888, 7093, 3685, 4249, 606, 1271, 1909, 538, 7303, 519, 5920, 540, 513, 4816, 609, 513, 18896, 5023, 269, 1879, 24584, 513, 1126, 267, 519, 2503, 656, 3993, 1058, 1491, 2027, 1416, 540, 1200, 1072, 543, 7747, 519, 1739, 7840, 540, 12665, 912, 268, 4676, 1778, 689, 7296, 263, 1519, 12809, 1070, 6704, 4568, 543, 5061, 563, 268, 898, 781, 1318, 267, 4628, 6484, 563, 268, 6875, 6171, 543, 7777, 23838, 585, 9176, 2021, 267, 7513, 543, 31447, 3679, 21339, 563, 268, 3680, 7050, 2168, 11851, 542, 563, 268, 898, 781, 513, 1434, 942, 547, 1964, 543, 621, 781, 513, 1434, 2856, 547, 1205, 2614, 3207, 563, 268, 3680, 17173, 3871, 543, 28400, 655, 10899, 28654, 563, 268, 18554, 707, 2597, 267, 9319, 7050, 4015, 540, 3063, 6550, 1282, 6379, 563, 268, 2598, 11666, 826, 960, 1644, 547, 5739, 2504, 267, 5230, 17666, 267, 4598, 547, 6464, 543, 7050, 2168, 20358, 563, 268, 3680, 15779, 14159, 543, 4835, 7063, 563, 268, 17115, 1685, 16953, 543, 3643, 12665, 538, 519, 2680, 540, 1022, 1072, 2042, 563, 11742, 569, 2712, 534, 6955, 7360, 543, 7766, 14317, 1576, 786, 4688, 519, 4816, 689, 519, 18896, 781, 5023, 7868, 2489, 2564, 23567, 585, 713, 2068, 568, 3833, 15028, 2336, 292, 6352, 320, 7737, 1231, 10798, 320, 267, 2564, 2689, 518, 0, 763, 13169, 568, 513, 1106, 540, 13989, 538, 799, 1004, 4444, 8458, 547, 3094, 26065, 269, 30410, 8240, 666, 2039, 689, 6666, 547, 5370, 543, 2533, 269, 769, 519, 1034, 1455, 1106, 267, 1004, 2824, 2338, 602, 616, 6537, 693, 4351, 269, 634, 16771, 11392, 519, 2724, 610, 824, 16101, 952, 789, 6474, 782, 519, 10888, 10659, 269, 634, 2179, 540, 519, 16101, 9775, 609, 519, 1826, 540, 13169, 543, 519, 1297, 540, 17914, 4421, 269, 2368, 27601, 616, 17033, 4960, 1247, 1866, 2154, 1702, 543, 5578, 547, 7119, 269, 634, 8545, 1331, 3756, 971, 607, 8230, 334, 543, 3381, 533, 20269, 267, 799, 2154, 519, 6345, 547, 1118, 513, 3126, 540, 3664, 538, 1931, 547, 2087, 741, 12918, 540, 10888, 563, 763, 1686, 540, 27601, 568, 513, 1279, 543, 9867, 835, 269, 634, 2259, 540, 26084, 3959, 543, 824, 7221, 676, 5373, 6266, 814, 513, 1279, 2594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1833, 2437, 4750, 540, 11906, 8212, 267, 2019, 269, 476, 6795, 267, 3143, 269, 476, 275, 267, 476, 1428, 4119, 269, 476, 3192, 274, 8198, 347, 279, 1475, 265, 1475, 289, 19128, 1777, 700, 269, 8751, 331, 8657, 543, 670, 269, 667, 269, 654, 269, 10830, 267, 22263, 16522, 1127, 1242, 19196, 2787, 540, 17437, 25080, 1763, 28585, 609, 13335, 547, 13067, 517, 13086, 5463, 537, 7204, 543, 3752, 1203, 7412, 4675, 1833, 267, 4750, 540, 11906, 8212, 267, 2019, 269, 476, 6795, 267, 3143, 269, 476, 275, 267, 476, 1428, 4119, 269, 476, 3192, 274, 8198, 347, 280, 1475, 26261, 15618, 676, 18373, 10247, 13878, 267, 13886, 834, 6124, 25790, 538, 519, 20491, 540, 519, 594, 517, 570, 1905, 7136, 15190, 668, 2678, 2437, 4843, 693, 519, 476, 3451, 6113, 16316, 10985, 593, 7136, 15190, 668, 4479, 543, 20466, 11762, 267, 5842, 17630, 267, 4993, 267, 2904, 476, 2735, 276, 8198, 347, 1015, 1475, 265, 1475, 26261, 15618, 676, 18373, 10247, 13878, 267, 13886, 1715, 25790, 538, 519, 20491, 540, 519, 594, 517, 570, 1905, 7136, 15190, 668, 2678, 267, 4843, 693, 519, 476, 3451, 6113, 16316, 10985, 593, 7136, 15190, 668, 4479, 543, 20466, 11762, 267, 5842, 17630, 267, 4993, 267, 2904, 476, 2735, 276, 8198, 347, 1556, 1475, 15031, 550, 29046, 15521, 15618, 4139, 13335, 7089, 654, 302, 476, 10436, 270, 271, 5655, 8618, 267, 3370, 476, 4029, 7325, 269, 476, 2735, 277, 267, 13886, 834, 22709, 15190, 668, 2678, 594, 517, 19196, 2787, 3590, 2668, 2008, 347, 1321, 1475, 265, 1475, 15031, 550, 29046, 15521, 15618, 4139, 13335, 7089, 654, 302, 476, 10436, 270, 271, 5655, 8618, 267, 3370, 476, 4029, 7325, 269, 476, 2735, 277, 267, 13886, 7136, 15190, 668, 2678, 594, 517, 19196, 2787, 3590, 1547, 2008, 347, 1724, 1475, 308, 14389, 269, 30171, 13335, 26838, 476, 273, 267, 11793, 267, 25313, 267, 3370, 4455, 269, 476, 278, 267, 476, 2735, 274, 267, 2140, 281, 834, 19686, 585, 594, 517, 20676, 582, 1258, 1763, 28585, 15190, 18122, 2668, 2008, 347, 1691, 1475, 265, 1475, 308, 14389, 269, 30171, 13335, 26838, 476, 273, 267, 11793, 267, 25313, 267, 3370, 4455, 269, 476, 278, 267, 476, 2735, 274, 267, 2140, 281, 6396, 585, 594, 517, 20676, 582, 1258, 1763, 28585, 15190, 18122, 1547, 2008, 347, 1428, 1475, 18197, 2276, 30171, 13335, 17626, 1297, 476, 277, 4817, 267, 279, 5325, 585, 834, 22709, 15190, 668, 2678, 594, 517, 19196, 2787, 3590, 2580, 19429, 3967, 269, 476, 2764, 267, 476, 2735, 276, 267, 6828, 3203, 5149, 281, 476, 16348, 267, 1401, 3133, 518, 281, 645, 269, 18722, 8198, 347, 1626, 1475, 265, 1475, 18197, 2276, 30171, 13335, 17626, 1297, 476, 277, 4817, 267, 279, 5325, 585, 7136, 15190, 668, 2678, 594, 517, 19196, 2787, 3590, 2073, 19429, 3967, 269, 476, 2764, 267, 476, 2735, 276, 267, 6828, 3203, 5149, 281, 476, 16348, 267, 1401, 3133, 518, 281, 645, 269, 18722, 8198, 18871, 1746, 30171, 1475, 293, 4979, 4266, 1475, 26397, 4266, 1475, 21104, 656, 1475, 17138, 2008, 347, 4785, 276, 3607, 2004, 278, 271, 2608, 1475, 14257, 476, 3066, 267, 476, 1960, 273, 1475, 22261, 476, 1428, 267, 476, 1960, 275, 1475, 763, 3204, 757, 2986, 634, 2160, 2986, 4993, 1475, 27078, 894, 9357, 11237, 13297, 17102, 609, 6419, 13104, 543, 6475, 8851, 1797, 2008, 347, 4785, 276, 4343, 7818, 275, 2608, 1475, 9802, 476, 2190, 267, 476, 1960, 274, 1475, 15037, 476, 1691, 267, 476, 1960, 276, 1475, 763, 2136, 2276, 2986, 3013, 1306, 3115, 18677, 1635, 634, 2136, 2276, 4972, 2986, 6052, 1475, 296, 517, 7814, 582, 1258, 16982, 1591, 2008, 347, 4785, 276, 5655, 27886, 272, 2608, 1475, 9802, 476, 1724, 267, 476, 1960, 275, 1475, 21801, 476, 277, 267, 476, 1960, 276, 1475, 299, 537, 23439, 282, 24839, 1475, 28319, 823, 585, 24236, 9668, 676, 9357, 7814, 582, 1258, 16982, 2008, 347, 4785, 276, 6246, 277, 4510, 278, 2608, 1475, 19878, 476, 2764, 267, 476, 1960, 275, 1475, 19878, 476, 1839, 267, 476, 1960, 276, 1475, 310, 11596, 7767, 906, 17290, 1475, 19686, 543, 17102, 585, 8159, 3448, 9357, 7039, 1734, 538, 2527, 26563, 4479, 9001, 5951, 2280, 21810, 2008, 347, 4785, 276, 3393, 9965, 272, 2608, 1475, 12914, 476, 2764, 267, 476, 1960, 275, 1475, 20225, 476, 866, 267, 476, 1960, 276, 1475, 8802, 757, 2986, 634, 2160, 2986, 4993, 1475, 300, 7236, 9357, 15972, 2527, 26563, 2678, 2008, 347, 4785, 276, 5325, 10755, 279, 2608, 1475, 13202, 476, 2767, 267, 476, 1960, 274, 1475, 22261, 476, 2764, 267, 476, 1960, 276, 1475, 301, 1731, 330, 529, 334, 3213, 1421, 13456, 13954, 2304, 17561, 6895, 2008, 347, 4785, 6321, 280, 277, 4391, 277, 2608, 1475, 9802, 476, 736, 267, 476, 1960, 277, 1475, 13356, 476, 280, 267, 476, 1960, 278, 1475, 763, 8592, 22846, 2160, 1475, 19686, 543, 17102, 585, 5248, 908, 12274, 538, 606, 9357, 15972, 609, 2799, 20547, 1379, 2008, 347, 4785, 277, 2641, 14681, 277, 1475, 15037, 476, 280, 267, 476, 1960, 280, 1475, 14257, 476, 274, 267, 476, 1220, 272, 1475, 306, 344, 10402, 5303, 1475, 20124, 542, 1436, 2527, 26563, 2678, 2008, 347, 4785, 25118, 6321, 273, 275, 2608, 1475, 12914, 476, 1626, 267, 476, 1960, 279, 1475, 9802, 476, 272, 267, 476, 1220, 272, 1475, 306, 22044, 839, 13019, 16210, 10622, 20635, 577, 10762, 1475, 7093, 17800, 2604, 6895, 2008, 347, 4785, 277, 3953, 5780, 272, 276, 1475, 13971, 476, 1789, 267, 476, 1960, 280, 1475, 13356, 476, 275, 267, 476, 1220, 272, 1475, 306, 344, 10402, 5303, 1475, 305, 777, 573, 3210, 2527, 26563, 2678, 1062, 2008, 347, 4785, 5038, 280, 6812, 273, 274, 1475, 19878, 476, 2641, 267, 476, 1960, 280, 1475, 13356, 476, 1704, 267, 476, 1220, 273, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 31466, 668, 778, 1441, 2361, 12623, 13240, 9357, 10688, 6882, 543, 7020, 1062, 2008, 347, 4785, 4792, 278, 4097, 280, 276, 2608, 1475, 13356, 476, 2918, 267, 476, 1220, 271, 1475, 21801, 476, 274, 267, 476, 1220, 274, 1475, 307, 615, 15879, 18373, 10247, 24510, 322, 1475, 11947, 4390, 9357, 7814, 582, 1258, 16982, 1591, 2008, 347, 4785, 4792, 280, 22903, 277, 2608, 1475, 11321, 476, 274, 267, 476, 1220, 271, 1475, 19878, 476, 279, 267, 476, 1220, 274, 1475, 22146, 674, 3999, 1475, 21902, 585, 9357, 1436, 543, 16496, 7020, 538, 2527, 26563, 4394, 2008, 347, 4785, 5780, 274, 271, 5780, 275, 1475, 21801, 476, 1691, 267, 476, 1220, 271, 1475, 12914, 476, 278, 267, 476, 1220, 274, 1475, 306, 344, 10402, 5303, 1475, 4263, 4380, 8879, 2604, 8666, 542, 6500, 585, 2527, 26563, 4479, 2008, 347, 4785, 5780, 280, 1822, 275, 1475, 14257, 476, 1321, 267, 476, 1220, 273, 1475, 15037, 476, 1015, 267, 476, 1220, 275, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 19686, 543, 17102, 585, 1528, 4592, 335, 2001, 268, 13774, 7757, 1164, 2361, 12623, 13240, 9357, 10688, 26563, 4479, 2008, 347, 4785, 6858, 272, 278, 1724, 274, 2608, 1475, 21801, 476, 1724, 267, 476, 1220, 272, 1475, 14257, 476, 277, 267, 476, 1220, 275, 1475, 13070, 559, 550, 16370, 267, 5549, 13954, 294, 7992, 4806, 543, 11460, 585, 2527, 26563, 4394, 2008, 347, 4785, 6858, 274, 278, 5038, 273, 1475, 11321, 476, 1240, 267, 476, 1220, 273, 1475, 9802, 476, 1240, 267, 476, 1220, 275, 1475, 306, 344, 10402, 5303, 1475, 11947, 6422, 2039, 12746, 3562, 1673, 580, 1388, 20303, 2008, 347, 4785, 27151, 5038, 277, 274, 1475, 13356, 476, 1626, 267, 476, 1220, 273, 1475, 12914, 476, 866, 267, 476, 1220, 275, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 31466, 668, 778, 1441, 2361, 12623, 13240, 9357, 10688, 6882, 543, 7020, 1062, 2008, 347, 4785, 6924, 272, 276, 5780, 279, 1475, 11321, 476, 276, 267, 476, 1220, 272, 1475, 22261, 476, 280, 267, 476, 1220, 275, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 19686, 543, 17102, 585, 24885, 2762, 30041, 2361, 12623, 13240, 5951, 845, 9357, 10688, 26563, 4479, 2008, 347, 4785, 6924, 272, 276, 5780, 280, 1475, 15037, 476, 2641, 267, 476, 1220, 273, 1475, 22261, 476, 280, 267, 476, 1220, 275, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 16524, 15994, 2361, 9141, 9357, 10688, 6882, 543, 7020, 1062, 2008, 347, 4785, 3583, 275, 276, 6507, 277, 1475, 21801, 476, 2764, 267, 476, 1220, 273, 1475, 9802, 476, 1626, 267, 476, 1220, 277, 1475, 306, 542, 1410, 15278, 1475, 21902, 585, 4015, 540, 1239, 543, 8446, 540, 7164, 9357, 2249, 538, 606, 3167, 2361, 2008, 347, 4785, 3583, 278, 2004, 277, 279, 1475, 11321, 476, 274, 267, 476, 1220, 276, 1475, 19878, 476, 1556, 267, 476, 1220, 277, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 19686, 543, 17102, 585, 1528, 4592, 335, 2001, 21284, 1164, 2361, 12623, 13240, 9357, 10688, 26563, 4479, 2008, 347, 4785, 3583, 280, 16825, 272, 1475, 19878, 476, 866, 267, 476, 1220, 275, 1475, 13971, 476, 1428, 267, 476, 1220, 277, 1475, 306, 542, 1410, 15278, 1475, 19686, 543, 17102, 585, 11919, 5108, 2008, 347, 4785, 278, 1015, 280, 5325, 277, 1475, 20225, 476, 2190, 267, 476, 1220, 274, 1475, 20225, 476, 866, 267, 476, 1220, 277, 1475, 306, 344, 10402, 5303, 1475, 21296, 9357, 2959, 5473, 11626, 2604, 8666, 542, 1436, 2008, 347, 4785, 278, 1556, 280, 3953, 279, 1475, 13356, 476, 1704, 267, 476, 1220, 274, 1475, 12914, 476, 1015, 267, 476, 1220, 277, 1475, 306, 542, 1410, 15278, 1475, 21902, 585, 667, 5960, 8445, 6571, 2008, 347, 4785, 278, 1556, 280, 4097, 273, 1475, 13356, 476, 4029, 267, 476, 1220, 273, 1475, 12914, 476, 1015, 267, 476, 1220, 277, 1475, 306, 344, 10402, 5303, 1475, 11328, 5865, 585, 513, 8666, 542, 1436, 2527, 26563, 2678, 2008, 347, 4785, 278, 1704, 277, 3393, 274, 1475, 13971, 476, 1015, 267, 476, 1220, 275, 1475, 15037, 476, 1724, 267, 476, 1220, 278, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 19686, 543, 17102, 585, 24885, 2762, 30041, 2361, 12623, 13240, 5951, 845, 9357, 10688, 26563, 4479, 2008, 347, 4785, 278, 2641, 9692, 272, 1475, 20225, 476, 273, 267, 476, 1220, 275, 1475, 9802, 476, 272, 267, 476, 1220, 278, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 267, 5549, 13954, 19686, 543, 17102, 585, 24885, 2762, 30041, 2361, 12623, 13240, 5951, 845, 9357, 10688, 26563, 4479, 2008, 347, 4785, 278, 2641, 8064, 273, 271, 1475, 14257, 476, 1691, 267, 476, 1220, 275, 1475, 9802, 476, 1428, 267, 476, 1220, 278, 1475, 306, 542, 1410, 15278, 1475, 303, 4545, 820, 26563, 2678, 2008, 347, 4785, 278, 2420, 278, 1724, 275, 1475, 22261, 476, 2190, 267, 476, 1220, 275, 1475, 21801, 476, 276, 267, 476, 1220, 278, 1475, 306, 542, 1410, 15278, 1475, 300, 984, 1006, 1759, 17102, 543, 2409, 1210, 24980, 4162, 267, 3732, 26610, 267, 543, 5924, 2604, 1852, 547, 2087, 2079, 540, 513, 3732, 2008, 347, 4785, 278, 2420, 278, 1724, 279, 1475, 21801, 476, 2764, 267, 476, 1220, 275, 1475, 21801, 476, 276, 267, 476, 1220, 278, 1475, 27778, 662, 600, 8479, 2160, 1475, 29919, 9357, 15972, 2008, 347, 4785, 278, 2767, 25002, 276, 1475, 13971, 476, 278, 267, 476, 1220, 273, 1475, 20225, 476, 1839, 267, 476, 1220, 278, 1475, 306, 542, 1410, 15278, 1475, 22479, 659, 1438, 11166, 11919, 9357, 2707, 2008, 347, 4785, 278, 2767, 280, 6924, 271, 1475, 21801, 476, 2641, 267, 476, 1220, 277, 1475, 12914, 476, 280, 267, 476, 1220, 278, 1475, 306, 542, 1410, 15278, 1475, 19686, 543, 17102, 585, 11919, 5108, 2008, 347, 4785, 278, 3066, 279, 5379, 279, 2608, 1475, 13356, 476, 736, 267, 476, 1220, 276, 1475, 22261, 476, 736, 267, 476, 1220, 278, 1475, 8777, 601, 6975, 670, 1993, 321, 21516, 1475, 19686, 543, 7893, 3926, 585, 3346, 1652, 6482, 540, 7285, 610, 5086, 2242, 593, 3615, 2008, 347, 4785, 278, 3451, 280, 1626, 275, 1475, 13971, 476, 2537, 267, 476, 1220, 277, 1475, 11321, 476, 275, 267, 476, 1220, 279, 1475, 306, 542, 1410, 15278, 1475, 21902, 338, 543, 2409, 585, 9357, 10688, 1852, 2008, 347, 4785, 278, 3607, 276, 4029, 277, 1475, 19878, 476, 2767, 267, 476, 1220, 276, 1475, 14257, 476, 3066, 267, 476, 1220, 279, 1475, 763, 8176, 853, 1046, 19537, 704, 12524, 1475, 19686, 543, 17102, 585, 24885, 2762, 30041, 2361, 12623, 13240, 5951, 845, 9357, 10688, 26563, 4479, 2008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1141, 30983, 14340, 1813, 547, 519, 31587, 12625, 540, 513, 1007, 24107, 269, 15858, 9840, 543, 1507, 1895, 5717, 786, 5401, 2565, 3206, 4478, 2055, 971, 607, 281, 1215, 1281, 9741, 31594, 2746, 7620, 286, 1548, 12153, 891, 4606, 286, 1656, 875, 798, 789, 11457, 607, 519, 1650, 4652, 9529, 286, 5015, 267, 4296, 786, 581, 1500, 1063, 9741, 31594, 781, 1995, 543, 4207, 1382, 4681, 3823, 16254, 262, 16369, 547, 1007, 23937, 538, 3885, 630, 291, 18365, 267, 14351, 518, 267, 1299, 1773, 7631, 267, 476, 1001, 275, 6393, 274, 269, 10515, 532, 609, 7827, 543, 21846, 692, 1607, 1016, 22780, 7710, 875, 834, 295, 2089, 334, 26335, 24601, 257, 5713, 607, 1312, 513, 11604, 543, 6885, 883, 1762, 3988, 262, 2729, 945, 949, 849, 3068, 1713, 2242, 269, 8625, 267, 649, 786, 10002, 871, 519, 2081, 538, 799, 9741, 31594, 2941, 525, 609, 13289, 4547, 827, 676, 22205, 513, 1007, 4759, 883, 1010, 1920, 269, 4635, 5339, 3457, 899, 22509, 17495, 12976, 267, 13513, 267, 543, 14165, 267, 649, 786, 26819, 875, 22265, 5931, 5968, 6835, 827, 6043, 543, 13916, 269, 769, 14966, 609, 4928, 5717, 267, 2013, 1353, 9382, 540, 2147, 6386, 786, 2417, 4396, 1518, 1053, 262, 9787, 540, 713, 1523, 780, 275, 269, 22718, 16503, 1674, 9828, 543, 10439, 27884, 692, 24058, 9423, 4249, 513, 2629, 1909, 538, 7393, 519, 2949, 1764, 540, 1022, 4605, 1433, 269, 769, 713, 10126, 267, 649, 786, 29506, 1125, 519, 7524, 12383, 18705, 676, 7376, 16452, 21696, 269, 3487, 7781, 3007, 786, 581, 6976, 547, 3308, 10291, 3177, 1369, 519, 11247, 1107, 4778, 267, 11132, 7215, 267, 1560, 1893, 267, 543, 25194, 5079, 1107, 602, 10802, 938, 1620, 540, 9741, 31594, 781, 3929, 9095, 269, 5047, 267, 649, 786, 5635, 1114, 21820, 610, 8747, 540, 519, 1482, 1650, 630, 604, 2139, 264, 547, 5031, 7648, 538, 7499, 12496, 543, 5660, 4244, 5380, 780, 276, 269, 10390, 281, 14484, 687, 593, 16497, 3231, 2740, 692, 2414, 9959, 938, 7634, 267, 1053, 786, 7119, 538, 513, 3803, 1788, 13296, 789, 4019, 4121, 10763, 1983, 547, 6218, 1776, 4062, 540, 11174, 5708, 10023, 3662, 23233, 18460, 11541, 2591, 269, 1306, 513, 1362, 267, 649, 786, 29289, 7840, 585, 7855, 267, 7172, 12579, 267, 543, 3237, 5275, 2298, 10643, 10704, 593, 3450, 3407, 4245, 827, 2208, 267, 9542, 267, 543, 8508, 1689, 269, 3958, 267, 1367, 18759, 786, 5000, 1053, 547, 14719, 622, 2123, 14759, 4810, 2094, 2502, 609, 834, 295, 2089, 334, 26335, 24601, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 4821, 568, 24584, 513, 4816, 543, 9741, 31594, 568, 2469, 547, 581, 513, 2462, 7015, 2336, 3891, 779, 2407, 540, 4566, 282, 646, 786, 4001, 519, 4816, 547, 1404, 782, 12204, 540, 3756, 543, 581, 519, 1655, 2462, 7015, 2479, 269, 1809, 2348, 9002, 1472, 1522, 711, 581, 607, 1454, 1187, 607, 9741, 31594, 2219, 269, 1358, 1491, 909, 782, 540, 631, 4821, 779, 543, 14466, 320, 779, 942, 269, 968, 2005, 779, 711, 4023, 17373, 1835, 625, 9741, 31594, 269, 1809, 835, 3781, 950, 513, 13110, 631, 4821, 543, 14466, 320, 616, 693, 741, 18854, 779, 1439, 267, 9741, 31594, 2501, 547, 519, 15063, 543, 5956, 547, 1174, 1018, 606, 1271, 2816, 621, 568, 547, 581, 513, 2462, 7015, 563, 21930, 3988, 786, 9305, 547, 9741, 31594, 779, 4101, 3510, 607, 646, 16137, 547, 11883, 609, 1689, 543, 30331, 10052, 538, 1010, 1753, 269, 16452, 21696, 779, 10477, 543, 26255, 656, 12383, 12667, 569, 3142, 547, 1272, 519, 967, 558, 3386, 5869, 538, 713, 9900, 10575, 14823, 543, 15260, 1005, 1650, 563, 26926, 483, 968, 288, 17175, 1840, 1848, 722, 499, 18662, 7732, 4750, 267, 5254, 2752, 305, 3633, 11555, 26177, 454, 10527, 1476, 1254, 2044, 12383, 616, 1360, 20036, 267, 543, 519, 15529, 8559, 568, 16064, 539, 856, 538, 635, 325, 344, 11647, 543, 934, 719, 516, 906, 538, 513, 533, 2801, 534, 547, 18241, 1650, 6469, 640, 1848, 722, 499, 298, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 2089, 334, 26335, 24601, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12292, 1315, 26194, 657, 1299, 10910, 16394, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 7706, 540, 6404, 2923, 1148, 267, 31174, 720, 26328, 513, 2189, 543, 4241, 13395, 269, 2311, 922, 4295, 267, 31174, 720, 3322, 2870, 1614, 8820, 11247, 676, 9256, 19635, 3615, 543, 2326, 883, 513, 23887, 2898, 269, 901, 4480, 2636, 5159, 547, 2263, 4798, 540, 1686, 267, 3965, 267, 543, 3961, 1247, 849, 2502, 609, 4207, 2152, 543, 9840, 269, 1635, 1065, 584, 19397, 1336, 3688, 543, 28093, 5224, 873, 609, 1007, 2495, 267, 31174, 720, 5159, 4161, 2757, 8847, 540, 1148, 543, 5000, 13588, 547, 1294, 519, 1158, 1107, 543, 922, 23987, 24790, 1107, 609, 4195, 4064, 780, 3080, 8903, 1383, 540, 31174, 720, 666, 581, 1336, 538, 519, 960, 540, 519, 744, 548, 327, 667, 269, 654, 10152, 577, 4157, 17341, 7690, 267, 799, 3096, 1148, 547, 1489, 3872, 3255, 585, 27797, 1453, 538, 12907, 269, 12878, 2082, 538, 8956, 540, 744, 548, 327, 667, 269, 654, 10152, 577, 4157, 267, 513, 21977, 1977, 945, 911, 326, 1227, 4503, 1010, 1272, 538, 519, 2622, 11780, 4741, 6285, 593, 5181, 476, 1556, 267, 476, 1220, 272, 267, 519, 5748, 4891, 609, 3906, 899, 6435, 2974, 6435, 519, 5753, 630, 295, 308, 12487, 290, 264, 543, 772, 4211, 22664, 547, 1683, 25689, 543, 2200, 547, 610, 874, 753, 543, 824, 693, 16151, 6107, 269, 3414, 741, 10319, 3646, 267, 891, 2516, 723, 9250, 1585, 6575, 2861, 7341, 6322, 693, 5807, 5876, 267, 1582, 22325, 267, 543, 3444, 14426, 5385, 1851, 5171, 780, 16449, 891, 3785, 568, 606, 5571, 3126, 540, 31174, 720, 11925, 267, 1282, 799, 1762, 1004, 5531, 547, 1711, 3312, 1568, 1210, 13381, 2326, 21433, 689, 741, 2199, 2950, 269, 1452, 7886, 2709, 811, 982, 6071, 7499, 6044, 282, 789, 4196, 607, 4105, 2922, 5624, 1141, 5171, 666, 1921, 609, 9905, 267, 1628, 6015, 267, 543, 11349, 6043, 538, 519, 3068, 540, 14488, 269, 5047, 267, 519, 4611, 31174, 1137, 1419, 2992, 519, 2123, 2984, 543, 7104, 2833, 540, 1346, 3238, 267, 5356, 1093, 17257, 16555, 593, 3584, 971, 607, 12761, 267, 2530, 267, 4126, 267, 543, 7067, 780, 2414, 1732, 1174, 519, 1379, 543, 1761, 540, 31174, 720, 1369, 519, 2796, 540, 1514, 5126, 14223, 267, 1577, 721, 4983, 1896, 1883, 2035, 602, 20690, 713, 6422, 5420, 1384, 272, 269, 5853, 27014, 281, 589, 22294, 540, 31174, 720, 2259, 267, 1336, 3615, 616, 4948, 3688, 602, 723, 1044, 32006, 3042, 543, 11368, 883, 7499, 15885, 269, 6270, 2326, 949, 2039, 689, 9583, 27217, 5641, 26160, 630, 324, 3052, 1421, 11480, 11503, 267, 16181, 267, 7745, 9162, 264, 547, 811, 859, 25607, 882, 923, 630, 324, 3052, 1421, 1920, 11147, 267, 21305, 5022, 267, 25752, 5979, 558, 20955, 1040, 1879, 5104, 868, 777, 2216, 609, 824, 2609, 267, 891, 3615, 1491, 593, 1007, 4644, 267, 20872, 13588, 547, 2243, 741, 7915, 1871, 543, 2015, 519, 16221, 6386, 11251, 1369, 563, 273, 269, 7502, 720, 281, 10705, 1031, 538, 14966, 609, 31174, 720, 2553, 267, 2458, 720, 3322, 3413, 30480, 2759, 8083, 610, 15998, 540, 1957, 267, 5958, 267, 610, 824, 1079, 8820, 2326, 5196, 513, 5885, 2627, 269, 901, 1505, 6087, 5159, 547, 4020, 1950, 3308, 8916, 678, 1057, 609, 30305, 10096, 543, 12205, 269, 5015, 267, 950, 5916, 609, 1336, 3615, 267, 2458, 720, 2337, 8115, 519, 7934, 1063, 6366, 14742, 543, 1614, 8820, 3029, 267, 7551, 23429, 1312, 519, 28241, 543, 12497, 7516, 540, 519, 8737, 4062, 563, 274, 269, 21931, 281, 6239, 547, 1082, 31174, 720, 1568, 568, 519, 10206, 540, 9423, 269, 6787, 12082, 538, 2123, 1995, 267, 2686, 6561, 267, 610, 3140, 2621, 267, 891, 6386, 11200, 2066, 942, 543, 2230, 267, 18136, 13588, 547, 4497, 609, 519, 3197, 267, 5468, 267, 543, 4729, 6050, 13269, 972, 514, 269, 1635, 13167, 13857, 543, 14156, 22298, 8941, 998, 741, 3903, 540, 2326, 543, 5888, 267, 5159, 666, 29360, 6568, 267, 6536, 5188, 267, 543, 8300, 2962, 1472, 2565, 1514, 2152, 563, 275, 269, 15350, 281, 6490, 1559, 1107, 2436, 1367, 610, 7104, 1107, 1404, 513, 1713, 1909, 538, 5935, 519, 1543, 543, 13513, 540, 31174, 720, 4773, 269, 1280, 930, 9439, 267, 519, 957, 540, 6220, 19644, 8952, 1389, 610, 19911, 531, 11551, 3134, 31906, 320, 5713, 607, 513, 1797, 540, 26621, 519, 2250, 543, 8497, 621, 585, 2104, 5481, 269, 11531, 267, 1866, 1522, 946, 16618, 610, 28572, 3615, 547, 16785, 519, 13112, 2456, 540, 1480, 973, 565, 3005, 543, 23827, 622, 519, 2081, 538, 799, 8823, 6521, 543, 28201, 936, 942, 563, 276, 269, 14740, 281, 5999, 4478, 3961, 3138, 558, 1804, 1369, 519, 2361, 540, 31174, 720, 267, 3226, 607, 12211, 547, 25481, 540, 5198, 267, 4008, 267, 1362, 267, 22874, 267, 543, 14940, 269, 3509, 5159, 2308, 31174, 720, 2553, 547, 632, 24554, 17888, 11475, 543, 7519, 8789, 1379, 3889, 267, 3079, 22299, 532, 12790, 5380, 543, 7586, 4328, 9739, 12926, 3623, 10642, 610, 16053, 269, 3958, 267, 676, 26399, 3309, 2326, 543, 5389, 1369, 513, 2582, 7406, 267, 891, 15888, 20838, 519, 5714, 640, 543, 26477, 7190, 540, 2413, 9163, 267, 8716, 3152, 10343, 543, 1620, 1851, 9458, 780, 1103, 3932, 267, 31174, 720, 6763, 607, 513, 3532, 1907, 585, 3695, 1950, 4798, 543, 4101, 6848, 8155, 269, 17848, 539, 538, 519, 13710, 1761, 540, 1336, 3615, 267, 713, 7524, 7154, 540, 4082, 3091, 15417, 2666, 585, 17634, 267, 5647, 267, 543, 5698, 269, 11569, 267, 676, 8508, 519, 30255, 267, 20437, 2470, 540, 31174, 720, 543, 6967, 1930, 547, 694, 16781, 760, 527, 748, 8906, 2059, 519, 1259, 267, 5159, 666, 3132, 5963, 9159, 1568, 602, 13469, 7184, 609, 13588, 543, 1198, 6209, 1689, 538, 519, 1158, 3564, 519, 18638, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 347, 1432, 781, 1715, 286, 1475, 306, 12944, 267, 5412, 476, 6349, 267, 476, 1704, 281, 6321, 29643, 2008, 347, 7838, 299, 270, 17273, 8745, 610, 13517, 2008, 302, 548, 327, 667, 269, 654, 10152, 577, 4157, 17341, 7690, 11406, 763, 744, 548, 327, 667, 269, 654, 10152, 577, 4157, 17341, 7690, 267, 5549, 269, 568, 14311, 513, 26988, 772, 2529, 269, 3919, 267, 2813, 896, 8791, 476, 26341, 6262, 7565, 274, 264, 540, 519, 18378, 28521, 8943, 267, 6131, 547, 519, 1489, 543, 13120, 540, 2069, 585, 29152, 539, 267, 896, 1440, 643, 850, 3022, 610, 27656, 11474, 1453, 540, 519, 12907, 269, 634, 15278, 568, 3957, 543, 6896, 538, 3965, 540, 744, 548, 327, 667, 269, 654, 10152, 577, 4157, 267, 513, 21977, 1977, 945, 729, 13991, 547, 519, 11091, 543, 23425, 540, 21977, 2528, 267, 855, 945, 729, 513, 13249, 6408, 540, 519, 2622, 11780, 4741, 4323, 593, 5181, 476, 1556, 267, 476, 1220, 272, 269, 634, 14172, 1982, 568, 8045, 538, 9316, 609, 6435, 2974, 6435, 519, 5753, 630, 295, 308, 12487, 290, 264, 2073, 513, 1875, 3766, 21194, 3919, 538, 12907, 799, 814, 1044, 2324, 609, 610, 874, 753, 2094, 476, 1960, 277, 267, 543, 772, 4211, 22664, 267, 519, 1977, 11078, 3919, 540, 670, 308, 12487, 290, 269, 1284, 16436, 596, 547, 3643, 938, 3135, 547, 1451, 875, 547, 948, 721, 4217, 538, 713, 4674, 563, 19723, 16223, 990, 2106, 320, 568, 513, 10875, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 595, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 24908, 9012, 1315, 1306, 5145, 331, 720, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 7313, 1170, 976, 5223, 2496, 22437, 24480, 781, 5223, 568, 513, 3730, 11973, 585, 8159, 875, 1454, 513, 1570, 632, 13257, 950, 16271, 547, 2566, 630, 560, 4958, 4221, 610, 13496, 1040, 898, 568, 2629, 538, 7344, 4702, 1317, 621, 2636, 585, 519, 5542, 540, 2326, 602, 1655, 9290, 519, 5551, 1599, 780, 273, 269, 1215, 798, 596, 5173, 7313, 24480, 779, 22472, 2496, 1892, 5153, 476, 272, 281, 12763, 519, 1843, 781, 29529, 8833, 563, 1892, 634, 8833, 538, 519, 29529, 4287, 786, 581, 713, 563, 1892, 5153, 476, 273, 281, 12433, 519, 1843, 781, 30212, 8833, 563, 1892, 634, 8833, 538, 519, 30212, 4287, 786, 581, 713, 563, 1892, 5153, 476, 274, 281, 4518, 856, 519, 7313, 24480, 781, 5223, 563, 1892, 1677, 12337, 519, 7313, 24480, 781, 5223, 267, 4283, 519, 8833, 538, 1312, 8846, 883, 519, 4542, 780, 274, 269, 4208, 595, 1251, 781, 7313, 24480, 781, 5223, 568, 4642, 2496, 290, 1251, 568, 606, 3617, 1570, 585, 513, 11480, 3247, 704, 1317, 540, 922, 2282, 25179, 7313, 24480, 5223, 269, 901, 568, 1813, 547, 519, 1249, 602, 950, 19316, 593, 1312, 5011, 267, 519, 524, 1251, 3592, 2760, 21040, 269, 1879, 30212, 13496, 568, 4294, 547, 513, 12285, 3247, 704, 267, 2705, 267, 621, 21040, 2663, 958, 780, 275, 269, 1548, 1281, 513, 476, 271, 269, 274, 7313, 24480, 5223, 17538, 2496, 22437, 24480, 781, 5223, 786, 2356, 581, 827, 476, 271, 269, 274, 585, 5374, 269, 901, 1797, 602, 585, 1169, 10759, 540, 22636, 538, 519, 4287, 540, 2566, 3498, 267, 972, 786, 581, 476, 271, 269, 274, 6279, 540, 22636, 13902, 547, 519, 4287, 540, 519, 3196, 3498, 780, 276, 269, 1548, 3123, 7313, 24480, 781, 5223, 547, 581, 2942, 2496, 27078, 894, 6261, 334, 24480, 781, 268, 7806, 1470, 2326, 616, 1572, 8920, 1049, 630, 1015, 264, 1317, 789, 616, 2653, 547, 1689, 519, 4320, 855, 2352, 547, 19852, 269, 0, 258, 952, 1250, 1920, 8532, 476, 273, 1396, 1562, 476, 16020, 1984, 29794, 5144, 538, 513, 1554, 267, 875, 1454, 5144, 786, 649, 991, 585, 519, 3923, 540, 1546, 576, 3387, 2496, 1892, 952, 1250, 1920, 8532, 476, 273, 1396, 1562, 476, 16020, 1984, 29794, 5144, 538, 513, 1554, 267, 875, 1454, 5144, 786, 649, 991, 585, 519, 3923, 540, 1546, 576, 3387, 2496, 12585, 1948, 272, 1923, 476, 1015, 270, 6349, 476, 1001, 275, 476, 6187, 281, 4375, 454, 20365, 1920, 2115, 476, 11025, 269, 276, 2148, 585, 519, 3923, 540, 632, 4895, 543, 849, 1142, 3923, 693, 713, 5223, 454, 12585, 1948, 273, 1923, 476, 1015, 270, 6349, 476, 1001, 275, 476, 1556, 281, 1626, 454, 273, 269, 4037, 1535, 476, 4029, 815, 476, 10019, 299, 476, 7742, 6447, 630, 5952, 476, 272, 270, 275, 22175, 637, 1916, 12585, 1948, 274, 1923, 476, 1556, 270, 6349, 476, 1001, 275, 476, 4905, 281, 1626, 454, 268, 513, 1396, 516, 610, 2148, 630, 20084, 543, 2475, 10259, 267, 1412, 299, 262, 610, 1412, 331, 262, 585, 2110, 264, 568, 476, 1911, 271, 1984, 4106, 516, 4433, 264, 610, 1984, 559, 3438, 4433, 264, 630, 553, 1354, 543, 1412, 6447, 262, 585, 2110, 264, 910, 5412, 814, 476, 4029, 2395, 1924, 476, 273, 30184, 568, 476, 1220, 271, 16720, 4758, 513, 3232, 2698, 540, 476, 1220, 271, 266, 16020, 815, 476, 22550, 271, 16720, 476, 22550, 271, 343, 4029, 815, 476, 5952, 267, 7742, 16720, 610, 476, 5952, 269, 1839, 561, 630, 26569, 637, 264, 10691, 476, 10019, 269, 1839, 561, 8206, 476, 9339, 4813, 28861, 8834, 590, 910, 21453, 267, 538, 707, 824, 2626, 630, 7474, 594, 1224, 1354, 713, 835, 264, 596, 1175, 7150, 476, 273, 269, 4037, 1535, 476, 4029, 815, 476, 10019, 299, 476, 7742, 6447, 630, 342, 3994, 1040, 1809, 1934, 596, 723, 519, 2953, 2626, 538, 23049, 19952, 8206, 594, 723, 1100, 2856, 1946, 596, 1705, 602, 8206, 700, 2129, 534, 910, 476, 5952, 269, 1839, 630, 296, 6415, 4358, 547, 1589, 1250, 536, 6929, 630, 283, 20982, 264, 543, 9498, 616, 26843, 8206, 264, 0, 10521, 4998, 3154, 5687, 18852, 589, 543, 645, 946, 5135, 543, 7250, 6606, 269, 634, 1109, 31742, 532, 7422, 616, 1500, 1384, 18323, 16242, 26282, 589, 16242, 26282, 645, 10222, 921, 15304, 540, 1216, 476, 272, 269, 7742, 6398, 476, 10755, 25508, 476, 271, 269, 1220, 6398, 476, 10755, 25508, 16453, 13621, 1448, 540, 20962, 584, 476, 272, 269, 8064, 278, 6398, 476, 10755, 25508, 476, 271, 269, 27868, 6398, 476, 10755, 1109, 25508, 692, 5416, 264, 1548, 568, 519, 6207, 2837, 540, 519, 3339, 13621, 1448, 540, 20962, 584, 607, 1224, 1109, 2421, 5687, 18852, 589, 543, 645, 2496, 6357, 264, 1548, 798, 596, 1589, 568, 519, 2601, 3297, 519, 13581, 3017, 538, 4267, 540, 1109, 750, 332, 18852, 589, 543, 645, 286, 630, 763, 5687, 18852, 616, 711, 25768, 1040, 1548, 2417, 1109, 2889, 1027, 675, 568, 2877, 538, 519, 4603, 547, 2569, 519, 15739, 32735, 1063, 519, 1109, 18314, 13220, 2496, 16485, 539, 676, 26285, 5984, 19453, 1923, 476, 272, 1032, 3516, 1923, 476, 1109, 4281, 692, 7462, 8827, 2433, 7042, 5416, 264, 1109, 31590, 921, 1448, 540, 1216, 267, 570, 284, 476, 24129, 269, 1626, 298, 780, 18208, 675, 538, 26282, 589, 693, 519, 1109, 17784, 1448, 267, 13698, 1109, 284, 272, 269, 1839, 9943, 10755, 1109, 25508, 692, 31863, 13621, 1448, 540, 20962, 584, 815, 1109, 307, 272, 692, 18208, 675, 538, 26282, 589, 693, 713, 2837, 267, 623, 272, 284, 272, 269, 8064, 278, 9943, 10755, 1109, 25508, 692, 6097, 547, 8176, 1876, 267, 649, 723, 519, 6935, 1384, 11377, 13320, 346, 303, 318, 288, 2410, 307, 18098, 13320, 346, 303, 318, 272, 2410, 307, 318, 272, 15732, 2330, 307, 318, 272, 284, 1422, 13320, 346, 303, 318, 272, 570, 2410, 303, 318, 288, 15732, 11377, 13320, 18950, 272, 269, 8064, 278, 9943, 1015, 317, 276, 9943, 24129, 269, 1626, 20972, 272, 269, 1839, 9943, 1015, 317, 276, 15732, 284, 4375, 273, 269, 7597, 918, 692, 11997, 267, 519, 6207, 2837, 540, 519, 3339, 13621, 1448, 540, 20962, 584, 607, 1224, 676, 26282, 589, 568, 476, 4375, 273, 269, 7597, 918, 780, 6357, 264, 634, 2604, 538, 26282, 645, 693, 519, 17784, 1448, 540, 1216, 267, 623, 289, 1109, 284, 271, 269, 273, 9943, 1015, 25508, 692, 763, 2837, 538, 26282, 645, 693, 519, 3339, 13621, 1448, 630, 307, 272, 264, 540, 20962, 584, 568, 10484, 303, 272, 1109, 284, 1109, 476, 271, 269, 27868, 9943, 10755, 1109, 25508, 692, 6097, 547, 8176, 1876, 267, 649, 666, 2328, 519, 6935, 912, 11377, 13320, 346, 303, 29758, 2410, 307, 18098, 13320, 346, 303, 318, 272, 2410, 307, 318, 272, 15732, 25991, 25991, 2330, 307, 318, 272, 284, 1422, 13320, 346, 303, 318, 272, 570, 2410, 303, 29758, 15732, 307, 11377, 13320, 346, 630, 271, 269, 27868, 9943, 1015, 317, 276, 6398, 476, 24129, 269, 1626, 20972, 271, 269, 273, 9943, 1015, 317, 276, 28021, 284, 4375, 272, 269, 7176, 918, 692, 11997, 267, 519, 6207, 2837, 540, 519, 3339, 13621, 1448, 540, 20962, 584, 607, 1224, 676, 26282, 645, 568, 476, 4375, 272, 269, 7176, 918, 780, 6357, 264, 634, 2601, 585, 519, 15739, 32735, 568, 602, 519, 9362, 798, 711, 13789, 899, 4998, 3154, 538, 2259, 269, 634, 15739, 32735, 666, 581, 4389, 676, 2921, 519, 2542, 693, 1360, 1970, 2604, 865, 602, 519, 9362, 1397, 3501, 7180, 780, 9172, 26833, 676, 2806, 327, 1047, 330, 1923, 476, 272, 1032, 3516, 692, 2162, 13565, 5999, 692, 2971, 589, 3905, 3440, 3579, 338, 689, 476, 3445, 9180, 547, 476, 1015, 9180, 538, 476, 276, 3764, 269, 1403, 519, 4478, 2837, 568, 476, 736, 9180, 692, 288, 3905, 3440, 3579, 338, 689, 476, 3445, 9180, 547, 476, 1015, 9180, 538, 476, 276, 3764, 269, 1403, 519, 4478, 2837, 568, 476, 736, 9180, 267, 1018, 568, 519, 942, 3144, 547, 3579, 689, 476, 2568, 9180, 547, 476, 1789, 9180, 2496, 2971, 2311, 1018, 2837, 543, 2604, 666, 519, 4396, 267, 5277, 543, 32350, 11775, 540, 2910, 273, 1071, 7721, 626, 538, 11466, 2496, 12585, 519, 1739, 2055, 1759, 593, 519, 623, 6874, 5123, 6516, 540, 3327, 8166, 1384, 5416, 264, 2311, 1018, 2837, 543, 2604, 666, 519, 4396, 267, 5277, 543, 32350, 11775, 540, 1109, 2330, 4596, 318, 273, 2330, 1071, 7721, 626, 538, 11466, 2496, 6357, 264, 1548, 568, 519, 1198, 540, 519, 6175, 540, 2604, 593, 519, 12760, 543, 14495, 1448, 540, 3230, 4596, 318, 273, 2330, 2496, 6262, 264, 1548, 616, 519, 2565, 2837, 543, 2604, 585, 3230, 4596, 318, 273, 2330, 286, 1548, 568, 922, 1109, 338, 20138, 766, 2496, 5560, 264, 1772, 1109, 2330, 4596, 318, 273, 2330, 4396, 267, 5277, 610, 3154, 693, 692, 5416, 264, 1107, 3583, 9180, 896, 476, 272, 693, 332, 10484, 6357, 264, 1107, 2568, 9180, 896, 476, 1015, 693, 332, 10484, 6262, 264, 476, 1428, 9180, 896, 476, 6321, 693, 332, 2496, 2971, 589, 1560, 3579, 338, 689, 476, 3199, 9180, 547, 476, 2004, 9180, 538, 476, 276, 3764, 269, 12433, 519, 942, 621, 3217, 547, 3579, 689, 476, 2568, 9180, 547, 476, 1789, 9180, 692, 288, 1560, 3579, 338, 689, 476, 3199, 9180, 547, 476, 2004, 9180, 538, 476, 276, 3764, 269, 12433, 519, 942, 621, 3217, 547, 3579, 1109, 5228, 476, 2568, 9180, 547, 476, 1789, 9180, 269, 634, 2837, 540, 519, 10450, 568, 476, 736, 9180, 780, 2971, 11512, 1946, 513, 1560, 609, 1804, 2992, 2032, 568, 513, 4057, 900, 7867, 692, 23737, 1946, 23241, 5416, 264, 513, 1560, 609, 1804, 2992, 2032, 568, 513, 4057, 900, 7867, 692, 6357, 264, 513, 21567, 512, 3518, 2401, 7959, 1454, 21617, 982, 513, 11308, 26745, 593, 513, 669, 11035, 1554, 692, 6262, 264, 606, 9804, 7510, 668, 2678, 630, 1721, 7893, 1164, 5210, 264, 26215, 730, 585, 606, 4998, 1109, 18872, 1560, 5982, 3947, 1932, 1970, 513, 1871, 585, 519, 2837, 540, 513, 2699, 3905, 1109, 1241, 4062, 538, 519, 1930, 267, 855, 3947, 513, 2953, 1871, 585, 519, 2837, 950, 519, 1109, 338, 877, 4062, 568, 538, 519, 19460, 692, 5560, 264, 519, 3618, 1510, 922, 5790, 1131, 581, 11375, 2214, 19935, 4411, 692, 16216, 264, 8022, 1949, 1759, 593, 519, 10009, 540, 9252, 616, 811, 3608, 538, 8337, 1109, 320, 2679, 982, 1346, 1759, 593, 519, 10009, 540, 3905, 1216, 0, 258, 30975, 609, 5858, 9511, 692, 296, 993, 2324, 998, 519, 18947, 12243, 13636, 13174, 7420, 2055, 689, 519, 476, 1220, 278, 1957, 630, 753, 9955, 593, 713, 2985, 281, 5291, 2517, 325, 1887, 4118, 338, 3820, 16896, 11721, 3796, 13478, 10967, 6665, 832, 9349, 2280, 15005, 6393, 4002, 2243, 476, 1015, 594, 993, 2731, 10010, 269, 898, 3081, 1412, 763, 5858, 538, 519, 6516, 2630, 814, 8953, 476, 277, 9492, 269, 1403, 519, 15943, 540, 519, 13551, 568, 476, 2764, 9492, 267, 1018, 568, 922, 1858, 286, 28847, 763, 6516, 568, 540, 513, 5858, 609, 513, 13551, 3330, 267, 782, 2185, 15174, 15700, 519, 18592, 630, 7717, 787, 585, 519, 9000, 540, 513, 6516, 267, 594, 666, 1405, 1265, 519, 2243, 1957, 3294, 6393, 296, 4312, 23125, 856, 602, 519, 3845, 689, 519, 8998, 540, 519, 13551, 547, 519, 7944, 1590, 581, 3160, 547, 519, 8953, 540, 519, 5858, 630, 277, 9492, 1040, 4935, 519, 15497, 3259, 630, 323, 3554, 2678, 540, 5858, 264, 568, 476, 1321, 9492, 269, 4635, 533, 17233, 23768, 267, 1269, 343, 317, 273, 20742, 317, 273, 284, 13893, 10608, 1717, 267, 519, 2626, 585, 519, 1858, 568, 476, 2918, 9492, 269, 901, 1797, 602, 568, 519, 15943, 568, 476, 2764, 9492, 267, 519, 1079, 13080, 1590, 581, 476, 273, 9492, 543, 476, 1724, 9492, 269, 4635, 891, 13080, 538, 533, 17233, 23768, 568, 711, 2009, 607, 1269, 273, 317, 273, 266, 1724, 317, 273, 1422, 2254, 815, 476, 1321, 317, 273, 10608, 1924, 1631, 594, 993, 11613, 11821, 543, 723, 1100, 2856, 875, 547, 4137, 713, 856, 780, 1012, 476, 275, 12226, 692, 24445, 1269, 320, 259, 543, 1269, 321, 259, 519, 13080, 540, 519, 5011, 540, 519, 13551, 780, 2171, 723, 1269, 273, 5416, 17070, 264, 815, 476, 2764, 259, 543, 1269, 320, 317, 273, 1341, 536, 317, 273, 815, 476, 1321, 317, 273, 259, 676, 19456, 23768, 262, 14497, 780, 11997, 1269, 320, 17070, 815, 1691, 259, 865, 18159, 320, 17070, 8203, 273, 815, 513, 317, 273, 1341, 536, 317, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 994, 313, 262, 9847, 630, 271, 267, 476, 271, 267, 700, 345, 17210, 514, 513, 5276, 6073, 780, 1103, 824, 1913, 596, 616, 10478, 585, 513, 476, 274, 343, 274, 5119, 631, 971, 602, 1384, 311, 262, 631, 815, 630, 299, 343, 3299, 476, 271, 267, 476, 271, 994, 312, 262, 631, 815, 630, 271, 267, 10370, 3299, 476, 271, 994, 313, 262, 631, 815, 630, 271, 267, 476, 271, 267, 700, 345, 17210, 6546, 568, 6697, 547, 519, 5119, 3830, 1384, 314, 2473, 343, 262, 2473, 344, 262, 2473, 345, 262, 9948, 1363, 1496, 700, 343, 262, 567, 476, 271, 567, 476, 271, 476, 23378, 314, 962, 343, 262, 962, 344, 262, 962, 345, 262, 9948, 672, 631, 815, 1496, 476, 476, 271, 567, 10370, 262, 476, 476, 271, 476, 23378, 314, 2098, 343, 262, 2098, 344, 262, 2098, 345, 262, 9948, 1363, 1496, 476, 476, 271, 825, 476, 271, 567, 700, 345, 262, 6540, 4131, 803, 946, 519, 2012, 715, 547, 3277, 547, 519, 5119, 547, 519, 2451, 540, 631, 543, 1577, 454, 1889, 946, 519, 2012, 700, 547, 3277, 547, 519, 5119, 547, 519, 1318, 540, 519, 834, 6889, 1129, 563, 2171, 991, 547, 4194, 519, 1739, 5119, 3830, 585, 631, 1384, 301, 631, 815, 700, 692, 4131, 715, 317, 8987, 272, 264, 581, 519, 11201, 540, 5119, 715, 269, 476, 3973, 1384, 300, 815, 715, 317, 8987, 272, 264, 299, 692, 2467, 596, 616, 2439, 3383, 267, 547, 2981, 513, 1448, 623, 547, 1141, 621, 786, 581, 1310, 519, 8144, 13045, 8527, 566, 267, 1101, 10208, 1055, 519, 4717, 842, 525, 540, 519, 1448, 744, 689, 782, 692, 9202, 267, 5173, 519, 3444, 1790, 6055, 585, 513, 1990, 6438, 6152, 543, 1265, 519, 454, 331, 9975, 540, 782, 780, 8340, 519, 13366, 538, 519, 14290, 715, 543, 700, 607, 1657, 269, 476, 769, 3200, 715, 267, 543, 454, 20123, 17586, 621, 676, 700, 593, 519, 1318, 547, 3489, 631, 780, 7661, 267, 9062, 519, 6152, 623, 262, 630, 1492, 835, 602, 729, 12261, 547, 519, 454, 10594, 514, 264, 676, 631, 543, 596, 786, 723, 519, 1267, 596, 7287, 1384, 303, 262, 300, 815, 1627, 780, 14187, 9939, 2439, 268, 16362, 8751, 267, 634, 4569, 17072, 454, 10674, 2517, 4118, 1721, 636, 3820, 7933, 337, 269, 4118, 13045, 8199, 10112, 18620, 11762, 912, 31955, 16387, 454, 31955, 12430, 10789, 454, 11947, 3427, 16387, 454, 11947, 3427, 12430, 10789, 454, 11947, 3427, 19750, 16387, 692, 15507, 519, 3220, 269, 4569, 7732, 1384, 4855, 3688, 5627, 630, 1584, 5624, 1063, 17161, 2567, 5231, 8437, 1152, 2899, 585, 5488, 2164, 281, 1496, 7994, 834, 3369, 1961, 1913, 257, 950, 10478, 585, 513, 2262, 899, 2085, 20426, 782, 17161, 267, 538, 1022, 1931, 693, 2547, 835, 267, 602, 3169, 8360, 2694, 540, 1913, 2898, 1913, 692, 8138, 2466, 707, 1378, 2243, 547, 3220, 269, 4569, 454, 13043, 17072, 5851, 13466, 4569, 7732, 13466, 16797, 13129, 13466, 4569, 17072, 9612, 0, 28669, 532, 10047, 5119, 585, 6152, 10047, 827, 1776, 6152, 692, 30206, 538, 1412, 21316, 25278, 262, 3323, 676, 3627, 267, 9484, 476, 275, 267, 476, 1220, 278, 780, 272, 269, 3627, 10817, 652, 692, 296, 723, 1079, 1634, 10321, 630, 514, 476, 274, 1606, 10628, 952, 621, 6927, 1070, 642, 543, 454, 321, 269, 642, 568, 29352, 676, 606, 7164, 10047, 5119, 267, 681, 267, 883, 536, 780, 321, 284, 305, 341, 692, 296, 1616, 547, 17967, 536, 676, 519, 1482, 2179, 630, 663, 538, 519, 1482, 7077, 454, 1993, 10047, 3989, 676, 642, 543, 536, 264, 547, 1205, 524, 269, 1775, 4318, 269, 1384, 322, 284, 305, 321, 284, 305, 305, 341, 692, 305, 568, 26667, 267, 865, 681, 305, 262, 815, 681, 262, 305, 815, 594, 267, 865, 692, 305, 262, 322, 284, 305, 341, 284, 321, 692, 296, 1152, 991, 547, 12337, 524, 269, 1403, 594, 666, 12337, 524, 1510, 454, 28669, 532, 681, 267, 602, 1568, 269, 1809, 930, 2790, 3625, 13515, 803, 689, 454, 28669, 532, 524, 780, 296, 1223, 2097, 909, 609, 1384, 29589, 17635, 22698, 264, 815, 562, 630, 476, 273, 2608, 3444, 17635, 14720, 264, 2608, 12297, 17635, 14720, 264, 3738, 270, 630, 347, 341, 347, 2608, 1923, 321, 347, 2020, 3602, 562, 815, 3444, 17635, 14720, 264, 1315, 1923, 29589, 17635, 14720, 31206, 692, 810, 519, 700, 9391, 666, 581, 6829, 607, 513, 7729, 342, 1606, 2096, 13240, 5119, 267, 966, 2676, 5976, 524, 267, 543, 519, 681, 9391, 568, 1175, 513, 22185, 2053, 519, 3339, 454, 323, 3925, 267, 855, 594, 666, 1405, 3100, 547, 4194, 585, 524, 1317, 966, 568, 7584, 476, 273, 780, 12179, 2093, 2496, 628, 3471, 2676, 329, 7897, 692, 11990, 267, 9484, 476, 275, 267, 476, 1220, 278, 692, 273, 269, 654, 269, 667, 1446, 8065, 10817, 652, 692, 2521, 713, 281, 946, 519, 1249, 602, 519, 2798, 692, 271, 630, 1492, 5169, 994, 341, 454, 321, 692, 718, 9114, 538, 513, 7077, 630, 1492, 7077, 5627, 519, 454, 15132, 548, 602, 642, 1131, 17967, 998, 952, 596, 3576, 454, 718, 1483, 7060, 540, 519, 5119, 681, 543, 4294, 547, 454, 341, 1070, 543, 602, 519, 12730, 692, 271, 642, 536, 692, 271, 536, 524, 692, 732, 21412, 269, 1403, 596, 941, 547, 17250, 513, 4605, 454, 1993, 713, 7077, 267, 596, 1131, 1205, 1945, 899, 713, 1384, 341, 454, 269, 4586, 269, 4586, 271, 2411, 955, 321, 454, 269, 4586, 269, 4586, 322, 692, 3602, 594, 4312, 8612, 519, 3515, 8220, 454, 271, 261, 341, 267, 476, 271, 261, 321, 267, 476, 271, 261, 322, 267, 642, 261, 321, 543, 642, 261, 322, 607, 1134, 607, 594, 1223, 454, 326, 1508, 32412, 2862, 3197, 269, 634, 1985, 3364, 547, 454, 2254, 823, 568, 602, 642, 543, 524, 616, 21136, 827, 519, 454, 1467, 476, 271, 321, 267, 865, 596, 1223, 538, 1249, 2328, 524, 607, 519, 454, 10915, 3005, 540, 642, 998, 713, 1899, 780, 763, 2653, 1259, 547, 798, 713, 621, 547, 1491, 519, 16879, 454, 1993, 642, 2059, 536, 1384, 17635, 12500, 270, 1475, 321, 1475, 317, 273, 264, 536, 692, 663, 10208, 621, 689, 642, 1384, 341, 910, 630, 341, 12500, 270, 13466, 321, 1475, 317, 476, 273, 264, 536, 692, 1729, 1205, 519, 5057, 540, 642, 26667, 547, 536, 780, 296, 3513, 1577, 533, 17635, 14720, 264, 20301, 642, 12500, 1315, 13466, 321, 1475, 317, 273, 454, 1729, 14458, 1018, 5205, 780, 9616, 602, 596, 1205, 513, 17883, 540, 642, 883, 454, 30672, 6252, 547, 536, 1299, 26667, 547, 536, 1384, 341, 815, 533, 17635, 14720, 264, 536, 1341, 630, 341, 910, 533, 17635, 14720, 264, 536, 2020, 263, 9767, 1058, 13182, 585, 3054, 602, 519, 454, 16149, 2165, 568, 8197, 26667, 547, 536, 2020, 763, 6152, 524, 596, 1616, 1175, 814, 519, 824, 1129, 454, 1721, 519, 5057, 26667, 547, 536, 1384, 322, 815, 533, 17635, 14720, 264, 536, 910, 630, 341, 910, 533, 17635, 14720, 264, 536, 2020, 6546, 1058, 798, 519, 8945, 780, 291, 1446, 692, 310, 269, 667, 1446, 8065, 267, 9484, 476, 276, 267, 476, 1220, 278, 692, 274, 269, 654, 269, 667, 1446, 8065, 10817, 652, 692, 1862, 8631, 25216, 27250, 334, 3591, 281, 594, 29709, 547, 4063, 602, 524, 568, 849, 538, 713, 7077, 780, 291, 7795, 780, 291, 1446, 692, 310, 269, 667, 1446, 8065, 267, 9484, 476, 276, 267, 476, 1220, 278, 454, 275, 269, 3627, 10817, 652, 692, 291, 1446, 2676, 12552, 585, 519, 2856, 269, 2334, 5654, 1318, 269, 594, 3513, 2119, 621, 2221, 563, 628, 3471, 2676, 329, 7897, 692, 11990, 267, 9484, 476, 276, 267, 476, 1220, 278, 454, 276, 269, 3627, 10817, 652, 692, 291, 1446, 267, 7064, 269, 2334, 5249, 780, 11990, 267, 9484, 476, 276, 267, 476, 1220, 278, 0, 258, 28171, 519, 7862, 585, 1022, 1483, 1535, 630, 5609, 343, 1341, 5430, 343, 3738, 317, 273, 815, 476, 272, 1341, 476, 273, 7562, 343, 265, 6523, 343, 692, 15884, 3554, 3707, 272, 1923, 9906, 692, 2414, 6961, 1018, 568, 2838, 538, 713, 2243, 1101, 1930, 519, 23049, 543, 1265, 519, 4009, 540, 630, 5609, 1535, 1341, 5430, 1535, 25589, 263, 5609, 1535, 1341, 5430, 1535, 3738, 9745, 273, 815, 630, 7562, 1535, 3738, 317, 273, 1341, 630, 5430, 1535, 8203, 273, 1341, 476, 273, 5609, 1535, 2608, 5430, 1535, 692, 3086, 649, 723, 547, 9004, 630, 5609, 1535, 3738, 317, 273, 543, 630, 6523, 1535, 3738, 317, 273, 16317, 2414, 798, 713, 649, 946, 513, 6935, 602, 649, 2907, 917, 799, 568, 281, 476, 1741, 630, 7562, 1535, 3738, 317, 273, 1341, 630, 5430, 1535, 8203, 273, 815, 272, 16317, 27802, 23082, 713, 538, 630, 7562, 1535, 3738, 317, 273, 1341, 630, 5430, 1535, 8203, 273, 1341, 476, 273, 5609, 1535, 2608, 5430, 1535, 649, 12446, 693, 476, 272, 1341, 476, 273, 5609, 1535, 2608, 5430, 1535, 692, 11997, 630, 5609, 1535, 1341, 5430, 1535, 3738, 9745, 273, 815, 476, 272, 1341, 476, 273, 5609, 1535, 2608, 5430, 1535, 692, 928, 11253, 1923, 9906, 692, 2414, 6961, 602, 630, 7562, 343, 266, 6523, 343, 8203, 273, 815, 476, 272, 266, 273, 7562, 343, 6523, 343, 780, 2171, 737, 534, 578, 602, 1109, 630, 7562, 343, 8203, 273, 266, 630, 6523, 343, 8203, 273, 815, 476, 272, 568, 25066, 1541, 344, 780, 11997, 692, 299, 9391, 1384, 4433, 514, 343, 266, 6523, 343, 8203, 273, 815, 630, 7562, 343, 8203, 273, 1341, 273, 7562, 343, 265, 6523, 343, 1341, 630, 6523, 343, 8203, 273, 692, 4433, 514, 343, 266, 6523, 343, 8203, 273, 815, 630, 7562, 343, 8203, 273, 1341, 630, 6523, 343, 8203, 273, 1341, 273, 7562, 343, 265, 6523, 343, 692, 4433, 514, 343, 266, 6523, 343, 8203, 273, 815, 476, 272, 1341, 273, 7562, 343, 265, 6523, 343, 1109, 267, 476, 1109, 553, 630, 7562, 343, 8203, 273, 23444, 6523, 343, 8203, 273, 815, 476, 272, 780, 11997, 630, 7562, 343, 266, 6523, 343, 8203, 273, 815, 476, 272, 1341, 273, 7562, 343, 265, 6523, 343, 815, 681, 9391, 780, 326, 1640, 326, 10005, 3192, 277, 1923, 9906, 692, 2414, 6961, 519, 7862, 1797, 547, 3489, 899, 7215, 1312, 5011, 780, 2171, 3513, 1376, 676, 9750, 519, 4009, 689, 519, 2451, 2427, 269, 1284, 3513, 946, 519, 4542, 540, 9750, 519, 4009, 1384, 5416, 17070, 8203, 273, 815, 513, 317, 273, 1341, 476, 273, 629, 1341, 536, 317, 273, 692, 2171, 3513, 12990, 513, 30548, 536, 676, 5609, 1535, 543, 5430, 1535, 543, 649, 3513, 1205, 1384, 263, 5609, 343, 1341, 5430, 343, 3738, 317, 273, 815, 630, 7562, 1535, 8203, 273, 1341, 476, 273, 7562, 1535, 265, 6523, 1535, 1341, 630, 6523, 1535, 8203, 273, 692, 3719, 519, 2040, 630, 7562, 1535, 8203, 273, 1341, 630, 6523, 1535, 8203, 273, 815, 476, 272, 267, 689, 519, 4909, 4542, 540, 29890, 780, 2171, 3513, 12990, 519, 2040, 676, 621, 781, 1871, 269, 1284, 3513, 556, 2914, 1679, 519, 9750, 540, 519, 4009, 1384, 263, 5609, 343, 1341, 5430, 343, 3738, 317, 273, 815, 476, 272, 1341, 476, 273, 7562, 1535, 265, 6523, 1535, 7117, 4318, 6155, 0, 9943, 454, 9943, 692, 258, 1215, 798, 519, 6027, 24186, 540, 513, 1560, 5635, 693, 1964, 692, 25835, 281, 476, 7818, 271, 3953, 5002, 280, 1015, 278, 476, 3066, 692, 1012, 8827, 585, 1966, 476, 3066, 292, 3848, 476, 3374, 692, 3519, 24632, 8212, 1923, 476, 1321, 628, 9990, 692, 1892, 30930, 10298, 454, 1892, 476, 23310, 272, 5153, 8386, 9912, 3435, 12193, 676, 20485, 543, 1641, 4966, 454, 1892, 5192, 476, 2190, 270, 278, 948, 689, 5530, 306, 19281, 5691, 3450, 20843, 692, 3519, 24632, 8212, 1923, 476, 1321, 628, 9990, 692, 275, 476, 276, 476, 272, 476, 31874, 17352, 454, 1015, 454, 273, 454, 19370, 476, 3066, 292, 692, 1692, 798, 519, 6027, 24186, 540, 513, 1560, 5635, 693, 1964, 543, 538, 5163, 2496, 3721, 8386, 28157, 8827, 1384, 11405, 476, 3066, 292, 5153, 476, 272, 540, 476, 274, 2433, 25670, 568, 519, 5223, 540, 2527, 676, 4320, 610, 2527, 829, 1770, 4320, 269, 2334, 568, 815, 544, 966, 7316, 568, 519, 5860, 267, 544, 568, 519, 2527, 543, 966, 568, 4320, 269, 7201, 8887, 643, 2065, 2013, 267, 769, 1964, 7406, 519, 2527, 543, 4320, 786, 581, 1114, 982, 519, 2527, 543, 4320, 950, 519, 7406, 568, 3001, 269, 634, 5860, 693, 1964, 267, 4779, 522, 27215, 7316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14587, 476, 1948, 649, 3651, 561, 272, 281, 314, 335, 272, 3910, 561, 273, 281, 314, 335, 273, 3910, 10371, 1421, 561, 1789, 281, 314, 335, 1789, 2639, 1038, 32082, 8217, 815, 1592, 4311, 7456, 335, 269, 12399, 15405, 1038, 5580, 10734, 895, 815, 2979, 269, 28776, 4311, 269, 2889, 915, 338, 1315, 1582, 269, 937, 20445, 994, 1038, 3785, 6831, 4878, 815, 1788, 8217, 11468, 316, 476, 1948, 2620, 5299, 782, 519, 3785, 454, 1038, 585, 32082, 538, 1582, 7456, 335, 912, 2018, 1948, 519, 1297, 540, 3785, 513, 32082, 666, 2709, 568, 1101, 569, 22112, 2630, 676, 476, 272, 543, 1657, 676, 6989, 6025, 4973, 318, 2889, 915, 338, 14121, 4973, 318, 937, 20445, 994, 2018, 1948, 547, 2327, 3785, 616, 14961, 7856, 1851, 11000, 3464, 454, 2018, 1297, 15058, 318, 2889, 915, 338, 815, 4351, 27110, 263, 272, 267, 5580, 10734, 895, 994, 2018, 585, 1775, 538, 2039, 28840, 15058, 318, 2889, 915, 338, 2187, 3546, 533, 815, 4351, 26716, 4069, 263, 2889, 915, 338, 6831, 4878, 994, 3546, 3785, 6831, 4878, 31927, 9638, 264, 476, 1948, 594, 1705, 713, 547, 2057, 16116, 519, 1482, 1788, 476, 273, 343, 269, 901, 1223, 849, 581, 6913, 676, 695, 4428, 1782, 543, 1402, 4771, 888, 3546, 1582, 269, 680, 322, 314, 335, 6012, 272, 316, 815, 32082, 476, 1948, 1491, 4063, 540, 519, 32082, 945, 568, 5356, 519, 1788, 454, 3546, 1582, 7456, 335, 314, 937, 25033, 6012, 272, 4940, 6572, 9638, 994, 3546, 1582, 7456, 335, 314, 937, 25033, 6012, 273, 4940, 2169, 754, 4311, 269, 680, 322, 314, 335, 6012, 273, 8079, 476, 1948, 1832, 3950, 540, 1053, 945, 723, 6074, 713, 1788, 585, 519, 32082, 454, 3546, 1582, 7456, 335, 314, 937, 25033, 6012, 275, 316, 6834, 1582, 269, 680, 322, 314, 335, 6012, 271, 316, 476, 1948, 27261, 519, 2698, 1788, 4390, 585, 1142, 32082, 454, 3546, 952, 1582, 269, 680, 322, 314, 335, 6012, 271, 316, 3436, 1582, 7456, 335, 314, 937, 25033, 6012, 274, 13912, 476, 1948, 1832, 3950, 540, 519, 1788, 609, 519, 5207, 4390, 454, 7386, 1582, 7456, 335, 314, 937, 25033, 6012, 274, 316, 815, 1582, 269, 680, 322, 314, 335, 6012, 271, 2639, 1038, 1948, 476, 5785, 5785, 5785, 14343, 8894, 1038, 1948, 952, 693, 713, 1448, 930, 3785, 616, 1869, 2943, 547, 581, 8655, 547, 513, 32082, 454, 1038, 1247, 3785, 6831, 4878, 912, 2018, 533, 815, 3785, 6831, 4878, 21014, 3890, 476, 1948, 4894, 513, 1788, 689, 1439, 540, 519, 1592, 454, 2018, 32082, 815, 4351, 26716, 4069, 263, 937, 25033, 8217, 264, 476, 1948, 4584, 513, 32082, 693, 4351, 454, 2018, 1582, 269, 680, 322, 314, 335, 6012, 272, 316, 815, 32082, 476, 1948, 1491, 4063, 540, 519, 32082, 945, 568, 5356, 519, 1788, 454, 2018, 1582, 7456, 335, 314, 937, 25033, 6012, 272, 4940, 6572, 9638, 994, 2018, 1582, 7456, 335, 314, 937, 25033, 6012, 273, 4940, 2169, 754, 4311, 269, 680, 322, 314, 335, 6012, 273, 8079, 476, 1948, 1832, 3950, 540, 1053, 945, 723, 6074, 713, 1788, 585, 519, 32082, 454, 2018, 1582, 7456, 335, 314, 937, 25033, 6012, 275, 316, 6834, 1582, 269, 680, 322, 314, 335, 6012, 271, 316, 476, 1948, 27261, 519, 2698, 1788, 4390, 585, 1142, 32082, 454, 2018, 952, 1582, 269, 680, 322, 314, 335, 6012, 271, 316, 3436, 1582, 7456, 335, 314, 937, 25033, 6012, 274, 14158, 3546, 1582, 7456, 335, 314, 937, 25033, 6012, 274, 316, 815, 1582, 269, 680, 322, 314, 335, 6012, 271, 2639, 1038, 1948, 476, 5785, 5785, 5785, 14343, 8894, 1038, 1948, 476, 3767, 649, 6430, 519, 10288, 13283, 585, 1142, 32082, 269, 1284, 6460, 547, 1305, 543, 1394, 547, 1592, 1317, 1305, 18788, 26134, 563, 1038, 1948, 476, 1703, 786, 581, 5918, 27289, 538, 519, 11000, 25341, 1053, 1592, 2094, 649, 1039, 513, 2875, 547, 513, 32082, 781, 1592, 585, 1169, 1788, 519, 2875, 454, 1038, 1948, 476, 814, 538, 1455, 609, 519, 32082, 267, 799, 1223, 581, 811, 982, 476, 272, 563, 1038, 1948, 4390, 585, 1142, 32082, 666, 849, 581, 4956, 1934, 10756, 1038, 585, 32082, 538, 1582, 7456, 335, 912, 2018, 1582, 7456, 335, 314, 937, 25033, 6012, 273, 316, 815, 1592, 263, 3553, 4311, 7456, 335, 314, 937, 25033, 6012, 273, 28413, 2018, 4351, 11075, 28984, 4311, 7456, 335, 314, 937, 25033, 6012, 273, 8079, 476, 1948, 713, 1899, 695, 4428, 956, 519, 3803, 13283, 1592, 585, 1142, 32082, 269, 9747, 10288, 2336, 2018, 1582, 7456, 335, 314, 937, 25033, 6012, 271, 316, 815, 4351, 27110, 4311, 7456, 335, 314, 937, 25033, 6012, 274, 3910, 1582, 7456, 335, 314, 937, 25033, 6012, 275, 8079, 476, 1948, 4390, 585, 1142, 32082, 692, 1038, 1948, 476, 5785, 5785, 5785, 14343, 7042, 825, 1219, 2328, 318, 27349, 5332, 334, 318, 2906, 4311, 267, 32197, 2567, 476, 1948, 11339, 519, 590, 5183, 4149, 3236, 547, 513, 512, 868, 3758, 692, 1038, 952, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 2018, 609, 1930, 6600, 32327, 267, 1412, 342, 10807, 607, 594, 1384, 3546, 1948, 476, 5785, 5785, 5785, 5785, 9339, 8894, 3546, 1948, 476, 3267, 31095, 1297, 540, 2875, 630, 333, 264, 1297, 540, 3785, 630, 332, 264, 1297, 540, 11000, 3464, 630, 330, 264, 476, 955, 585, 13418, 267, 789, 616, 782, 9674, 676, 2230, 454, 3546, 594, 22182, 19304, 4311, 269, 29324, 264, 1341, 1412, 1412, 1341, 1193, 4311, 269, 2889, 915, 338, 264, 1341, 1412, 1412, 1341, 1193, 4311, 269, 937, 20445, 264, 1341, 1412, 315, 333, 5073, 3546, 1948, 476, 5785, 5785, 5785, 5785, 15365, 3546, 1948, 476, 5785, 5785, 5785, 5785, 9339, 8894, 3546, 1948, 10371, 2328, 519, 1053, 4994, 543, 741, 7222, 7375, 476, 955, 476, 272, 476, 273, 476, 274, 476, 272, 476, 278, 454, 3546, 585, 562, 538, 2039, 263, 272, 267, 1582, 269, 29324, 1341, 476, 272, 2187, 7386, 13283, 815, 1582, 4732, 335, 9131, 338, 262, 266, 1598, 3799, 22708, 7386, 30000, 815, 1496, 335, 314, 272, 281, 316, 585, 533, 538, 13283, 316, 1948, 713, 1152, 1178, 2125, 519, 1788, 4994, 267, 552, 3052, 1421, 533, 736, 3587, 476, 736, 543, 533, 1911, 3587, 476, 1911, 454, 7386, 594, 22182, 19304, 3799, 264, 1341, 1412, 30386, 7386, 594, 9884, 761, 3894, 3488, 260, 338, 1412, 4939, 533, 585, 533, 538, 30000, 994, 7386, 594, 22182, 28361, 333, 5073, 3546, 1948, 476, 5785, 5785, 5785, 5785, 15365, 3546, 1948, 476, 5785, 5785, 5785, 5785, 9339, 8894, 3546, 1948, 476, 10371, 31095, 1142, 1788, 781, 4994, 267, 922, 4390, 543, 519, 32082, 945, 6069, 621, 476, 9339, 268, 476, 272, 476, 276, 476, 272, 454, 3546, 585, 544, 538, 2039, 263, 272, 267, 1582, 269, 2889, 915, 338, 1341, 476, 272, 2187, 7386, 1788, 815, 1412, 335, 262, 266, 1598, 9852, 994, 7386, 4390, 815, 1582, 269, 680, 322, 314, 2889, 915, 6012, 271, 2639, 7386, 32082, 815, 1582, 269, 680, 322, 314, 2889, 915, 6012, 272, 6012, 272, 281, 316, 1948, 4994, 540, 519, 32082, 602, 3091, 519, 1788, 454, 7386, 594, 22182, 19304, 9852, 264, 1341, 1412, 1412, 1341, 1193, 263, 5115, 13369, 264, 1341, 1412, 1412, 1341, 1193, 263, 937, 25033, 4917, 4449, 8931, 7386, 594, 22182, 28361, 333, 5073, 3546, 1948, 476, 5785, 5785, 5785, 5785, 15365, 3546, 1948, 476, 5785, 5785, 5785, 5785, 9339, 8894, 3546, 1948, 10371, 2328, 1142, 32082, 781, 4994, 267, 741, 4390, 543, 741, 7222, 7375, 476, 955, 476, 272, 476, 273, 476, 274, 476, 272, 476, 278, 454, 3546, 585, 737, 538, 2039, 263, 272, 267, 1582, 269, 937, 20445, 1341, 476, 272, 2187, 7386, 32082, 815, 1412, 331, 262, 266, 1598, 17347, 994, 7386, 4390, 815, 1582, 7456, 335, 314, 937, 25033, 6012, 271, 2639, 7386, 13283, 815, 1582, 7456, 335, 314, 937, 25033, 6012, 273, 2639, 7386, 30000, 815, 1496, 338, 314, 272, 281, 316, 585, 521, 538, 13283, 316, 1948, 713, 1152, 1178, 2125, 519, 2875, 4994, 267, 552, 3052, 1421, 521, 736, 3587, 476, 736, 543, 521, 1911, 3587, 476, 1911, 454, 7386, 594, 22182, 19304, 17347, 264, 1341, 1412, 1412, 1341, 1193, 263, 5115, 13369, 264, 1341, 1412, 30386, 7386, 594, 9884, 761, 3894, 3488, 260, 338, 1412, 4939, 521, 585, 521, 538, 30000, 994, 7386, 594, 22182, 28361, 333, 5073, 3546, 1948, 476, 5785, 5785, 5785, 5785, 9339, 8894, 3546, 594, 25379, 10797, 692, 258, 1053, 815, 476, 1015, 454, 258, 2539, 10734, 895, 267, 5580, 10734, 895, 815, 476, 276, 267, 476, 276, 1948, 1118, 2386, 713, 1281, 711, 9765, 519, 2698, 1297, 540, 3785, 454, 258, 585, 737, 538, 2039, 263, 272, 267, 476, 7906, 2187, 258, 672, 590, 815, 9501, 3008, 263, 29324, 267, 2539, 10734, 895, 267, 5580, 10734, 895, 994, 258, 672, 590, 269, 27349, 318, 10090, 1807, 5332, 334, 4671, 773, 4590, 258, 672, 3758, 815, 1412, 27349, 262, 266, 1598, 17347, 11924, 8339, 339, 868, 7055, 258, 672, 32197, 815, 1412, 13318, 1734, 270, 262, 266, 3758, 454, 258, 672, 590, 22182, 318, 27349, 5332, 334, 318, 2906, 6600, 32327, 994, 0, 12163, 272, 269, 13213, 511, 28786, 417, 503, 357, 22287, 493, 18777, 362, 16088, 13213, 511, 28786, 417, 503, 357, 22287, 493, 18777, 362, 15159, 418, 490, 485, 16088, 28098, 420, 365, 350, 417, 379, 483, 421, 350, 375, 418, 493, 494, 28032, 505, 22047, 10113, 25913, 25622, 8147, 28884, 18263, 486, 13213, 498, 18713, 508, 13213, 511, 28786, 7511, 31284, 13601, 421, 350, 373, 8147, 28884, 18263, 486, 420, 371, 495, 24731, 17380, 296, 614, 566, 19764, 480, 27747, 372, 14756, 486, 27882, 351, 13213, 511, 28786, 25707, 273, 269, 23746, 13213, 511, 28786, 28098, 420, 365, 350, 16088, 14395, 508, 27064, 364, 29072, 1029, 3438, 1029, 7511, 28098, 420, 365, 350, 454, 274, 269, 22287, 493, 18777, 362, 15159, 13601, 26175, 491, 419, 374, 355, 27936, 454, 20701, 258, 29635, 485, 359, 27936, 18263, 487, 418, 375, 350, 420, 370, 367, 13213, 511, 28786, 417, 503, 357, 22287, 493, 18777, 362, 28098, 420, 365, 350, 454, 5035, 594, 614, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 2187, 1038, 1582, 6230, 318, 17484, 815, 1003, 454, 1038, 1582, 6230, 318, 9359, 815, 476, 271, 692, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 594, 614, 566, 4311, 6230, 318, 17484, 2020, 5035, 594, 614, 566, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 2187, 1038, 1582, 6230, 318, 9359, 815, 476, 271, 454, 1038, 1582, 6230, 318, 17484, 815, 1003, 692, 825, 1219, 6449, 10113, 9191, 1345, 2187, 1038, 952, 1582, 6230, 318, 9359, 2999, 1582, 6230, 318, 17484, 912, 2018, 1267, 815, 1582, 6230, 318, 9359, 454, 2018, 1582, 6230, 318, 9359, 6834, 476, 272, 454, 2018, 2132, 1267, 454, 1038, 3116, 912, 2018, 6318, 17547, 296, 614, 566, 692, 258, 476, 13200, 509, 29873, 417, 503, 357, 8147, 23746, 23284, 419, 494, 484, 25335, 352, 20992, 420, 485, 359, 20693, 357, 14395, 508, 27064, 364, 29072, 13213, 511, 28786, 417, 503, 357, 22287, 493, 18777, 362, 7511, 12255, 29004, 362, 32352, 417, 508, 489, 8147, 13200, 509, 29873, 417, 503, 357, 15159, 23746, 13213, 511, 28786, 28098, 420, 365, 350, 454, 258, 272, 269, 13200, 509, 29873, 417, 503, 357, 16583, 30936, 692, 3698, 4530, 17653, 1807, 3799, 17107, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 6556, 9217, 994, 1038, 1820, 2891, 529, 5602, 825, 1820, 2891, 754, 15419, 258, 273, 269, 13200, 509, 29873, 417, 503, 357, 23989, 20001, 378, 19764, 493, 8147, 32352, 25263, 376, 30678, 28578, 23989, 26406, 357, 21382, 376, 8147, 12916, 484, 15159, 13213, 498, 18713, 508, 7511, 15159, 13200, 509, 29873, 417, 503, 357, 28098, 420, 365, 350, 8147, 23946, 370, 418, 366, 350, 20069, 11858, 502, 417, 480, 357, 29219, 692, 14818, 17653, 1807, 273, 815, 9497, 23989, 20001, 378, 19764, 493, 16088, 260, 338, 257, 4939, 1775, 585, 1775, 538, 2039, 263, 1015, 11723, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 672, 3097, 825, 585, 1775, 538, 594, 614, 263, 1015, 2187, 1038, 1820, 9217, 2020, 825, 585, 1775, 538, 4530, 17653, 1807, 263, 1015, 2187, 1038, 1820, 9217, 2020, 825, 585, 1775, 538, 4530, 17653, 1807, 273, 912, 1038, 1820, 9217, 264, 0, 5814, 21635, 692, 5035, 3557, 912, 825, 8173, 825, 4591, 1091, 513, 15768, 1533, 2059, 609, 10626, 2409, 563, 825, 1412, 288, 1533, 568, 1572, 5812, 476, 858, 922, 575, 17032, 11224, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2689, 891, 16060, 538, 1775, 306, 1460, 306, 7950, 780, 271, 454, 258, 280, 6246, 3583, 692, 3725, 580, 548, 26791, 454, 27396, 656, 692, 294, 629, 21119, 281, 2026, 596, 2693, 917, 267, 519, 3483, 540, 3220, 269, 16452, 779, 1433, 729, 547, 454, 29171, 1380, 519, 7954, 543, 7744, 602, 729, 1031, 547, 454, 652, 28344, 16359, 7637, 779, 14520, 590, 7950, 11036, 269, 901, 568, 1134, 454, 26061, 538, 519, 1433, 779, 4367, 269, 634, 1433, 729, 5497, 454, 1729, 2626, 1079, 2055, 281, 476, 272, 264, 4208, 3670, 29178, 543, 711, 930, 454, 1278, 1871, 286, 543, 476, 273, 264, 7316, 1281, 519, 476, 272, 269, 276, 29178, 6521, 2097, 454, 5228, 286, 3220, 269, 16452, 12943, 1312, 540, 891, 2055, 547, 519, 454, 338, 15384, 8351, 540, 1896, 1134, 15197, 2930, 2689, 619, 563, 22818, 3054, 543, 6465, 2006, 1810, 1406, 899, 1010, 4267, 610, 454, 1952, 25209, 267, 855, 713, 729, 519, 2930, 7744, 693, 602, 454, 5503, 693, 16359, 7637, 2560, 543, 568, 1869, 4570, 547, 713, 1554, 563, 8855, 267, 621, 729, 9291, 8055, 693, 16359, 7637, 602, 1101, 454, 611, 341, 2331, 519, 2856, 540, 513, 476, 272, 269, 276, 29178, 6521, 269, 898, 729, 3220, 269, 16452, 454, 7474, 11827, 519, 667, 7246, 2975, 1184, 543, 11827, 519, 2473, 1532, 3881, 454, 560, 4450, 602, 568, 865, 1134, 8810, 269, 1924, 1082, 2053, 649, 2119, 547, 454, 974, 778, 1004, 547, 968, 516, 1783, 3544, 519, 4216, 1848, 1284, 4001, 519, 454, 728, 320, 540, 968, 514, 2617, 566, 1848, 1809, 620, 553, 267, 950, 789, 798, 14679, 454, 719, 2515, 519, 4216, 267, 972, 616, 1346, 18413, 538, 519, 18047, 2676, 3430, 3319, 547, 1628, 593, 519, 2093, 1040, 18947, 26933, 723, 454, 331, 8077, 942, 585, 971, 562, 904, 16558, 269, 12344, 602, 568, 1946, 789, 454, 732, 1141, 789, 616, 538, 519, 9746, 25752, 8944, 269, 8409, 609, 454, 548, 611, 11429, 267, 5876, 267, 5647, 267, 543, 10100, 2356, 454, 13388, 909, 593, 1283, 267, 1175, 899, 3220, 269, 16452, 1705, 269, 1703, 568, 10355, 513, 454, 1485, 602, 4422, 676, 855, 1018, 594, 1810, 1406, 13948, 7198, 971, 454, 2889, 32216, 30983, 607, 649, 1294, 593, 713, 3135, 269, 769, 7118, 652, 2676, 821, 1058, 1413, 693, 741, 1378, 10124, 543, 1118, 873, 454, 4385, 630, 604, 789, 723, 1022, 547, 2709, 1040, 6145, 621, 610, 711, 267, 3220, 269, 16452, 454, 13757, 4957, 519, 1576, 540, 519, 2298, 3924, 2676, 324, 4582, 730, 519, 588, 1155, 540, 2493, 527, 5974, 267, 543, 5280, 4213, 454, 514, 971, 513, 2462, 1259, 2560, 1256, 519, 1977, 18926, 454, 10112, 27937, 15597, 17019, 713, 1249, 538, 476, 1960, 280, 269, 4910, 1051, 2685, 267, 3725, 580, 548, 26791, 692, 271, 454, 258, 280, 6246, 7761, 692, 3725, 580, 548, 26791, 454, 27396, 656, 692, 1805, 534, 281, 15578, 16038, 311, 590, 5456, 7246, 2098, 24535, 676, 18496, 808, 269, 24747, 518, 269, 769, 713, 454, 23855, 673, 8313, 267, 3220, 269, 24747, 518, 3081, 281, 2485, 497, 4537, 22284, 540, 476, 274, 269, 271, 267, 476, 275, 269, 276, 2676, 663, 476, 277, 269, 271, 3044, 24017, 941, 1031, 2560, 3274, 1317, 454, 3333, 22284, 540, 713, 2450, 616, 3833, 1455, 538, 12303, 782, 454, 335, 3174, 3157, 269, 5047, 267, 607, 786, 581, 11609, 538, 454, 1492, 1985, 3296, 267, 1256, 3677, 10593, 616, 711, 16613, 6693, 3528, 2921, 883, 2272, 519, 1249, 602, 1507, 10593, 630, 821, 29178, 454, 528, 1447, 264, 616, 2182, 547, 3713, 267, 543, 10593, 540, 909, 547, 476, 272, 269, 276, 29178, 454, 15884, 711, 581, 9571, 3533, 269, 382, 498, 454, 4910, 1051, 2685, 267, 3725, 580, 548, 26791, 692, 271, 454, 258, 280, 6246, 10463, 692, 338, 336, 324, 454, 300, 1897, 692, 302, 330, 267, 865, 6148, 713, 16253, 4465, 1406, 1039, 1871, 267, 855, 621, 779, 3735, 543, 1109, 296, 666, 1406, 3207, 269, 1109, 23883, 1310, 2542, 1234, 580, 548, 779, 2063, 3210, 269, 1109, 1234, 580, 548, 267, 713, 3884, 1406, 513, 795, 629, 1107, 1175, 930, 16268, 9880, 269, 1109, 594, 723, 2943, 547, 1224, 513, 3210, 689, 596, 602, 18387, 1406, 1500, 1250, 2212, 8095, 269, 1109, 594, 16175, 16153, 594, 6557, 711, 7184, 3238, 538, 2979, 610, 7194, 269, 1109, 634, 2601, 865, 1082, 1004, 18783, 6114, 689, 6465, 2006, 267, 12254, 267, 28792, 267, 19375, 2961, 24274, 568, 1317, 789, 2566, 16134, 269, 1109, 1403, 596, 1745, 3586, 29383, 1310, 596, 2022, 267, 594, 14659, 621, 779, 1317, 1866, 616, 2451, 11821, 676, 1018, 596, 4076, 1767, 269, 1109, 594, 6557, 7168, 2386, 1169, 2022, 689, 596, 568, 827, 519, 476, 272, 269, 276, 29178, 6521, 269, 1109, 1684, 596, 723, 2093, 610, 2833, 538, 824, 3344, 540, 14520, 590, 7950, 286, 1109, 2290, 3364, 594, 666, 1293, 593, 689, 707, 6114, 568, 602, 596, 3580, 946, 1109, 310, 17751, 9215, 302, 1082, 1913, 543, 711, 1256, 2626, 519, 2243, 15054, 269, 1109, 3245, 2576, 9361, 593, 519, 521, 573, 3894, 267, 594, 3494, 621, 779, 2731, 2653, 547, 6961, 513, 3069, 950, 596, 7683, 1118, 909, 519, 2338, 547, 1489, 519, 3069, 269, 1109, 634, 14520, 590, 7950, 2146, 568, 1804, 1107, 952, 4896, 814, 930, 1483, 1239, 602, 7028, 519, 6521, 267, 1577, 779, 1294, 621, 269, 1109, 2913, 779, 946, 621, 563, 5319, 965, 1767, 269, 1109, 594, 6557, 1055, 519, 4216, 1631, 780, 271, 454, 258, 280, 6246, 10619, 692, 294, 629, 21119, 454, 27396, 656, 692, 32091, 1234, 580, 548, 2676, 7804, 16452, 267, 968, 1492, 1433, 5608, 16359, 7637, 267, 3092, 2507, 1109, 17495, 711, 1044, 1256, 5018, 538, 891, 6835, 630, 6518, 729, 6909, 4947, 689, 596, 1070, 909, 547, 519, 2063, 835, 563, 6546, 779, 607, 2484, 607, 594, 786, 1205, 563, 12648, 1416, 2676, 294, 629, 21119, 692, 271, 454, 258, 280, 6246, 4037, 692, 294, 629, 21119, 454, 27396, 656, 692, 8794, 1016, 25364, 540, 476, 275, 630, 1729, 1118, 621, 2241, 1317, 21762, 263, 275, 6661, 273, 264, 513, 6521, 538, 519, 1184, 3328, 3160, 547, 476, 272, 269, 276, 1184, 3044, 24017, 11224, 513, 476, 274, 29178, 6521, 538, 2473, 8663, 630, 8145, 1897, 519, 31344, 5055, 3970, 11532, 286, 1040, 3973, 707, 1007, 17146, 18725, 786, 6474, 519, 14160, 585, 2473, 8663, 269, 2334, 1797, 602, 476, 272, 856, 540, 476, 273, 2798, 786, 581, 3564, 519, 1852, 3970, 269, 4635, 1152, 519, 968, 2041, 3219, 1852, 7182, 892, 7355, 519, 669, 322, 1734, 547, 3713, 971, 513, 6521, 616, 476, 271, 269, 276, 267, 1109, 271, 269, 4037, 267, 476, 271, 269, 9262, 267, 476, 271, 269, 11463, 267, 1109, 271, 269, 9032, 267, 2560, 2073, 476, 272, 268, 271, 269, 276, 18898, 538, 519, 1101, 562, 2798, 269, 5410, 547, 602, 1109, 1492, 7355, 540, 476, 273, 856, 540, 519, 2063, 1614, 1109, 9557, 538, 595, 7997, 630, 2041, 3219, 476, 273, 29178, 547, 519, 1482, 2427, 264, 543, 596, 616, 3592, 1978, 547, 3713, 519, 6521, 538, 519, 1101, 1079, 2798, 563, 1805, 534, 568, 1318, 593, 713, 269, 2060, 1016, 25364, 540, 476, 276, 630, 22238, 2406, 519, 1034, 6093, 32299, 2450, 538, 519, 2872, 2853, 264, 513, 476, 272, 269, 276, 29178, 6521, 786, 581, 607, 1176, 9571, 538, 519, 1985, 1448, 267, 1985, 1079, 2798, 693, 1034, 563, 2304, 596, 1058, 917, 602, 269, 2107, 596, 1223, 723, 2196, 519, 11191, 6069, 676, 12254, 780, 271, 454, 258, 280, 6246, 5952, 692, 21809, 2006, 454, 300, 1897, 692, 7312, 1101, 1383, 568, 536, 690, 639, 269, 1109, 634, 7207, 540, 519, 1079, 6191, 1223, 581, 1226, 633, 331, 550, 689, 606, 2804, 1764, 952, 519, 2039, 540, 3398, 1464, 568, 2647, 3448, 547, 519, 1184, 3262, 540, 519, 1079, 6191, 269, 1109, 5457, 1234, 580, 548, 267, 513, 3017, 568, 513, 3017, 1152, 950, 621, 2306, 513, 3017, 563, 7312, 2034, 1383, 568, 25064, 269, 1109, 1411, 666, 1832, 782, 519, 12240, 596, 1616, 855, 789, 1152, 723, 2495, 538, 519, 2702, 540, 519, 1184, 547, 2743, 6075, 4170, 563, 2791, 1767, 281, 1741, 968, 5475, 782, 267, 594, 798, 3494, 713, 568, 513, 1883, 6240, 538, 667, 293, 7704, 2485, 483, 2485, 497, 652, 28344, 16551, 1759, 593, 519, 4540, 12588, 267, 711, 519, 824, 1259, 1472, 7536, 296, 1810, 1406, 1589, 972, 568, 513, 1316, 20601, 518, 538, 667, 293, 7704, 602, 786, 3858, 609, 596, 593, 602, 835, 269, 1109, 634, 3741, 540, 667, 293, 7704, 568, 547, 2743, 610, 9765, 519, 6075, 6788, 543, 3132, 519, 3132, 693, 513, 1164, 1377, 540, 12588, 563, 7712, 596, 616, 10010, 609, 1250, 1383, 267, 1577, 803, 2285, 596, 930, 3606, 1344, 912, 1492, 2098, 14714, 815, 476, 276, 269, 271, 454, 3383, 1611, 267, 853, 323, 1821, 2110, 2165, 616, 476, 1911, 543, 476, 1015, 454, 13048, 300, 26843, 1590, 581, 1447, 982, 476, 6110, 563, 290, 815, 476, 272, 269, 276, 454, 2710, 649, 10131, 888, 21809, 2006, 692, 271, 454, 258, 280, 6246, 10436, 692, 21809, 2006, 454, 300, 1897, 692, 628, 3471, 28792, 2676, 14187, 547, 581, 1394, 543, 1434, 547, 5873, 689, 596, 454, 21809, 2006, 692, 271, 454, 258, 280, 6246, 9262, 692, 3725, 580, 548, 26791, 454, 27396, 656, 692, 21809, 2006, 281, 2026, 8912, 267, 596, 1265, 2370, 20519, 610, 1871, 538, 1250, 4901, 563, 2791, 2307, 585, 606, 1383, 543, 594, 2285, 596, 835, 267, 1287, 596, 2161, 454, 527, 568, 968, 321, 690, 639, 1848, 634, 2856, 540, 1373, 968, 321, 690, 639, 892, 568, 2392, 5344, 593, 454, 20365, 2022, 3634, 1917, 1456, 609, 519, 2262, 968, 9281, 1848, 4270, 267, 4376, 454, 4754, 581, 10294, 536, 690, 639, 610, 1510, 20519, 17692, 649, 4020, 606, 454, 9281, 3948, 269, 700, 1115, 1175, 3858, 547, 10990, 269, 4910, 1051, 2685, 3725, 580, 548, 26791, 692, 271, 454, 258, 280, 6246, 6434, 692, 21809, 2006, 454, 300, 1897, 692, 294, 629, 21119, 10484, 2791, 29709, 513, 1906, 811, 10148, 593, 519, 946, 540, 519, 476, 272, 269, 276, 6521, 1384, 383, 502, 3396, 1109, 1772, 4570, 1152, 950, 519, 4890, 3017, 1063, 2110, 543, 1279, 2165, 666, 711, 581, 10686, 1227, 3964, 998, 3334, 540, 8390, 2079, 454, 383, 502, 3396, 1109, 1772, 4570, 1152, 950, 519, 1184, 568, 1863, 689, 2027, 3123, 543, 1152, 1641, 547, 519, 10462, 540, 10386, 5470, 454, 383, 502, 3396, 1109, 1772, 4570, 1152, 950, 519, 5817, 3892, 540, 519, 1184, 568, 3339, 454, 383, 502, 3396, 1109, 1772, 4570, 1152, 950, 519, 11973, 568, 6024, 692, 1607, 568, 1946, 594, 1589, 513, 1732, 2140, 547, 16452, 382, 496, 338, 1433, 568, 2485, 497, 763, 6909, 1744, 8667, 532, 29196, 382, 498, 780, 296, 849, 2648, 519, 4661, 602, 713, 1433, 568, 711, 827, 519, 24134, 540, 519, 946, 540, 519, 476, 272, 269, 276, 29178, 6521, 855, 827, 1141, 621, 2501, 689, 269, 1109, 901, 568, 899, 1603, 513, 1433, 827, 1946, 621, 729, 2899, 5156, 602, 519, 3618, 729, 6366, 269, 476, 1109, 763, 1152, 3017, 568, 602, 649, 616, 1869, 7487, 519, 2259, 540, 20025, 3498, 540, 519, 6521, 269, 1109, 8307, 11523, 1790, 1824, 540, 519, 6366, 3618, 2486, 616, 3257, 9273, 1759, 593, 513, 6366, 3618, 780, 10267, 619, 10484, 21809, 2006, 692, 271, 454, 258, 280, 6246, 3445, 692, 21809, 2006, 454, 300, 1897, 692, 5591, 1234, 580, 548, 10484, 2791, 616, 4636, 827, 519, 946, 540, 968, 604, 382, 498, 538, 513, 7521, 827, 519, 7954, 540, 606, 4661, 269, 1109, 634, 946, 540, 2485, 497, 604, 892, 568, 547, 17551, 513, 23350, 547, 519, 4661, 602, 2982, 602, 519, 4661, 568, 2901, 23380, 610, 3908, 269, 2659, 4305, 568, 547, 1631, 1397, 1946, 519, 23350, 568, 711, 4570, 780, 763, 17083, 547, 968, 698, 872, 547, 10990, 892, 568, 1419, 27235, 2219, 547, 581, 513, 17083, 602, 519, 7521, 568, 1631, 693, 513, 26106, 655, 622, 269, 1109, 1717, 267, 713, 568, 2965, 513, 17083, 602, 596, 723, 4503, 519, 7521, 1317, 596, 798, 711, 723, 513, 4831, 4661, 780, 2005, 814, 1044, 267, 2899, 1586, 267, 11791, 547, 4497, 538, 513, 2790, 3675, 626, 609, 596, 780, 28775, 596, 666, 2132, 2899, 1586, 950, 596, 723, 556, 2389, 944, 539, 707, 7440, 780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 516, 3168, 547, 1118, 12631, 31976, 488, 1016, 631, 519, 1641, 269, 1924, 1577, 15512, 19050, 382, 503, 338, 9062, 1312, 5011, 676, 713, 4756, 269, 1656, 649, 1205, 476, 14695, 11224, 3670, 2053, 12631, 31976, 488, 1016, 631, 780, 7661, 267, 649, 15512, 19050, 382, 503, 516, 2469, 547, 7941, 998, 676, 3670, 269, 1924, 476, 14695, 5258, 676, 3670, 568, 12631, 31976, 488, 1016, 631, 269, 1656, 713, 568, 513, 9819, 602, 649, 666, 1685, 538, 938, 2212, 269, 4595, 476, 1321, 5258, 676, 3670, 568, 1079, 267, 476, 6344, 5258, 676, 3670, 568, 476, 736, 269, 3973, 476, 14695, 5258, 676, 3670, 1590, 581, 3160, 547, 476, 2641, 269, 4595, 519, 4559, 585, 3196, 538, 713, 2243, 616, 1007, 27971, 2429, 267, 519, 4559, 585, 12631, 31976, 488, 1016, 631, 1590, 849, 581, 1007, 27971, 269, 1924, 519, 2597, 540, 519, 1843, 593, 519, 9855, 2016, 602, 922, 2597, 593, 3047, 568, 476, 14695, 1007, 27971, 568, 476, 2641, 1007, 27971, 269, 0, 258, 667, 1456, 11096, 14279, 692, 2690, 938, 2034, 1788, 267, 1577, 779, 1413, 693, 513, 5929, 598, 2017, 6275, 1966, 269, 898, 779, 1572, 2048, 1492, 18226, 15806, 9957, 898, 729, 8385, 22885, 676, 4144, 329, 330, 14259, 538, 476, 3422, 276, 267, 855, 649, 3580, 946, 513, 21066, 9862, 4528, 689, 713, 1957, 676, 25414, 14208, 732, 538, 476, 2735, 276, 780, 1103, 3504, 2053, 267, 513, 14547, 24960, 626, 1439, 15735, 513, 5441, 547, 13918, 2947, 900, 5799, 15806, 269, 3962, 14544, 1185, 513, 4055, 538, 799, 789, 1223, 4497, 538, 741, 3318, 2534, 540, 3206, 282, 972, 729, 849, 513, 1455, 18226, 4055, 267, 7677, 1639, 609, 513, 9764, 3349, 267, 11303, 676, 2947, 23107, 267, 1142, 31002, 676, 519, 2012, 540, 519, 14544, 945, 729, 547, 1694, 538, 621, 269, 1358, 2893, 1884, 545, 6674, 3772, 1472, 519, 3349, 269, 1677, 519, 2451, 540, 1142, 14544, 972, 729, 9788, 513, 11344, 23643, 267, 543, 538, 519, 8998, 11542, 513, 1804, 12826, 540, 838, 698, 515, 26152, 267, 799, 729, 7683, 25579, 1639, 269, 589, 14544, 729, 4397, 547, 6108, 1034, 540, 741, 942, 3206, 282, 855, 950, 789, 5433, 17237, 267, 789, 4682, 547, 519, 18226, 4055, 267, 2893, 1524, 538, 741, 1378, 11381, 267, 13603, 909, 741, 1378, 23643, 593, 741, 2451, 267, 543, 32168, 539, 621, 883, 519, 838, 698, 515, 26152, 269, 1809, 971, 568, 519, 8126, 1194, 2470, 540, 838, 698, 515, 26152, 602, 513, 2034, 23643, 568, 2838, 547, 4163, 621, 547, 519, 5023, 269, 634, 14544, 4061, 1185, 849, 547, 4584, 909, 519, 23643, 593, 741, 1318, 269, 1879, 789, 941, 8737, 789, 1131, 2322, 1524, 1312, 741, 585, 802, 267, 1205, 909, 689, 741, 11381, 267, 543, 3136, 3206, 269, 2986, 1576, 267, 513, 23643, 666, 581, 1031, 676, 1152, 835, 14544, 693, 513, 942, 269, 1403, 519, 824, 14544, 6499, 621, 267, 789, 1175, 723, 547, 7227, 2394, 519, 23643, 568, 2139, 1586, 780, 1607, 5929, 1966, 2982, 1055, 513, 1906, 1114, 2609, 540, 598, 2017, 6275, 269, 634, 2601, 568, 602, 621, 781, 2965, 5594, 16602, 547, 2936, 281, 513, 2241, 6388, 666, 4666, 6674, 269, 1280, 1383, 267, 1577, 781, 2015, 513, 2241, 5690, 602, 1131, 4194, 713, 1966, 1384, 272, 269, 589, 14544, 26717, 909, 519, 23643, 593, 741, 2451, 563, 273, 269, 1358, 1287, 4584, 909, 519, 23643, 593, 741, 1318, 563, 274, 269, 1358, 3548, 563, 275, 269, 1358, 2132, 519, 585, 802, 780, 3086, 267, 1577, 779, 4952, 713, 5311, 540, 2621, 1384, 272, 269, 11096, 9372, 476, 272, 5956, 519, 5690, 267, 16116, 909, 519, 23643, 593, 741, 2451, 563, 273, 269, 11096, 9372, 476, 273, 5956, 519, 5690, 267, 16116, 909, 519, 23643, 593, 741, 2451, 563, 274, 269, 11096, 9372, 476, 274, 5956, 519, 5690, 267, 16116, 909, 519, 23643, 593, 741, 2451, 563, 275, 269, 11096, 9372, 476, 275, 5956, 519, 5690, 267, 16116, 909, 519, 23643, 593, 741, 2451, 563, 276, 269, 11096, 9372, 476, 276, 5956, 519, 5690, 267, 16116, 909, 519, 23643, 593, 741, 2451, 563, 277, 269, 3267, 7790, 2353, 519, 585, 802, 616, 3144, 267, 855, 18864, 666, 3548, 2439, 2467, 616, 1114, 2081, 547, 4194, 713, 1966, 269, 1284, 3580, 1205, 547, 938, 3070, 538, 519, 5850, 3294, 269, 1280, 1631, 267, 1577, 779, 1205, 3323, 20592, 519, 1966, 3294, 269, 1284, 3580, 1376, 609, 519, 15806, 1384, 560, 1192, 11096, 9372, 2715, 2012, 281, 21642, 267, 7684, 5579, 11096, 9372, 2715, 535, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 2715, 11096, 9372, 2715, 2012, 281, 2012, 30419, 23952, 19572, 7684, 7684, 7684, 535, 333, 1292, 3890, 2715, 1577, 533, 272, 815, 11096, 9372, 15311, 2908, 2891, 297, 644, 603, 30215, 257, 5148, 1577, 533, 273, 815, 11096, 9372, 15311, 2908, 2891, 294, 14792, 1546, 548, 340, 2763, 257, 5148, 1577, 533, 274, 815, 11096, 9372, 15311, 2908, 2891, 298, 22611, 14100, 257, 5148, 1577, 533, 275, 815, 11096, 9372, 15311, 2908, 2891, 10387, 2742, 7108, 2006, 257, 5148, 1577, 533, 276, 815, 11096, 9372, 15311, 2908, 2891, 31466, 3559, 18539, 322, 5435, 257, 5148, 7684, 454, 3499, 560, 1192, 11096, 9372, 13634, 4067, 281, 21642, 2676, 10926, 574, 680, 11096, 9372, 13634, 325, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 13634, 4942, 3342, 9372, 13634, 4067, 281, 2012, 30419, 23952, 263, 13211, 8679, 8679, 10926, 325, 333, 1292, 3890, 13634, 2280, 533, 272, 815, 11096, 9372, 15311, 2908, 2891, 297, 644, 603, 30215, 8442, 3248, 2280, 533, 273, 815, 11096, 9372, 15311, 2908, 2891, 294, 14792, 1546, 548, 340, 2763, 8442, 3248, 2280, 533, 274, 815, 11096, 9372, 15311, 2908, 2891, 298, 22611, 14100, 8442, 3248, 2280, 533, 275, 815, 11096, 9372, 15311, 2908, 2891, 10387, 2742, 7108, 2006, 8442, 3248, 2280, 533, 276, 815, 11096, 9372, 15311, 2908, 2891, 31466, 3559, 18539, 322, 5435, 8442, 3248, 8679, 7884, 2080, 267, 649, 1118, 513, 2387, 560, 1192, 319, 547, 2099, 513, 14544, 269, 1280, 1631, 267, 513, 2012, 568, 782, 649, 991, 269, 1284, 3442, 519, 2387, 21803, 319, 1826, 585, 519, 2012, 267, 2864, 982, 2387, 261, 1598, 18269, 13575, 6340, 267, 2324, 609, 513, 1826, 799, 22595, 922, 1239, 568, 4443, 982, 2324, 609, 835, 602, 3096, 8100, 780, 4131, 779, 3136, 1384, 325, 333, 1292, 3890, 2715, 1785, 11096, 9372, 2715, 2012, 281, 21642, 267, 7684, 5579, 11096, 9372, 2715, 535, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 2715, 11096, 9372, 2715, 2012, 281, 2012, 30419, 23952, 19572, 7684, 7684, 7684, 7684, 454, 3499, 574, 680, 11096, 9372, 13634, 325, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 13634, 4942, 3342, 9372, 13634, 4067, 281, 2012, 30419, 23952, 263, 13211, 8679, 8679, 8679, 7884, 1607, 2387, 574, 680, 319, 3625, 13071, 721, 5581, 1919, 593, 2387, 4942, 3342, 9372, 319, 1785, 338, 269, 769, 713, 2013, 267, 649, 5581, 606, 2048, 817, 18620, 1599, 685, 1572, 2387, 2908, 18269, 634, 1101, 1899, 5654, 899, 713, 1384, 325, 333, 1292, 3890, 2715, 1785, 11096, 9372, 2715, 2012, 281, 21642, 267, 7684, 5579, 11096, 9372, 2715, 535, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 2715, 11096, 9372, 2715, 2012, 281, 2012, 30419, 23952, 19572, 7684, 7684, 7684, 7684, 454, 3499, 325, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 13634, 7884, 2171, 1491, 835, 4661, 267, 513, 2387, 4067, 12452, 540, 1826, 2387, 261, 1598, 18269, 901, 568, 513, 4704, 547, 1776, 5569, 269, 898, 7024, 606, 3236, 540, 938, 2387, 4942, 3342, 9372, 319, 1785, 780, 325, 333, 1292, 3890, 2715, 1785, 11096, 9372, 2715, 2012, 281, 21642, 267, 7684, 5579, 11096, 9372, 2715, 535, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 2715, 11096, 9372, 2715, 2012, 281, 2012, 30419, 23952, 19572, 7684, 7684, 7684, 7684, 454, 3499, 4942, 3342, 9372, 13634, 4067, 281, 2012, 30419, 23952, 263, 13211, 8679, 7884, 1607, 5932, 513, 1007, 2387, 4942, 3342, 9372, 12452, 543, 5036, 922, 2387, 4067, 319, 547, 938, 2387, 4067, 319, 4661, 269, 3502, 1175, 519, 4661, 3294, 267, 1498, 267, 607, 649, 1289, 2387, 269, 1729, 23952, 13237, 593, 621, 269, 901, 786, 1711, 513, 5299, 540, 519, 5569, 602, 938, 2387, 261, 1598, 319, 2798, 547, 267, 543, 2285, 721, 513, 1007, 2387, 21803, 12452, 799, 568, 519, 1826, 540, 519, 2387, 4067, 319, 2361, 540, 2387, 4942, 3342, 9372, 27471, 3963, 711, 3398, 513, 2387, 21803, 319, 2047, 286, 898, 779, 12137, 518, 547, 1289, 269, 1403, 649, 3576, 513, 2387, 21803, 12452, 855, 938, 1289, 518, 1185, 513, 2387, 261, 1598, 12452, 789, 8910, 723, 547, 1289, 713, 1505, 2933, 269, 634, 17498, 728, 540, 713, 8112, 568, 602, 649, 2141, 1118, 513, 5299, 269, 1280, 713, 1507, 1982, 267, 602, 779, 711, 3226, 1271, 267, 607, 649, 917, 649, 3580, 1175, 581, 1210, 2110, 12673, 19037, 780, 3080, 2063, 3364, 596, 3580, 5469, 281, 649, 1175, 5581, 513, 2387, 4942, 3342, 9372, 12452, 543, 9583, 1810, 1406, 798, 4376, 609, 621, 269, 681, 755, 568, 606, 2048, 10339, 1833, 1759, 685, 1893, 267, 799, 1797, 602, 3592, 3388, 538, 681, 755, 568, 606, 4082, 799, 7024, 513, 1871, 269, 901, 568, 3020, 540, 3252, 607, 1134, 267, 519, 2063, 4082, 568, 8850, 8120, 269, 4595, 649, 1711, 513, 1007, 2387, 4942, 3342, 9372, 319, 607, 519, 2063, 4082, 540, 713, 1599, 267, 649, 1439, 909, 13059, 621, 780, 1607, 2012, 267, 2387, 2908, 3890, 12452, 3884, 1406, 4376, 2027, 547, 681, 755, 267, 855, 621, 568, 513, 15007, 585, 3252, 602, 1711, 1007, 8320, 540, 1785, 338, 269, 6969, 649, 2911, 827, 1946, 267, 1577, 779, 1413, 693, 2387, 10852, 13237, 1586, 1384, 560, 1192, 11096, 9372, 2715, 2012, 281, 21642, 267, 7684, 5579, 11096, 9372, 2715, 535, 333, 1007, 28442, 281, 1299, 1598, 264, 9847, 11096, 9372, 2715, 11096, 9372, 2715, 2012, 281, 2012, 30419, 23952, 19572, 7684, 7684, 7684, 535, 333, 1292, 3890, 2715, 1577, 533, 272, 815, 11096, 9372, 15311, 2908, 2891, 297, 644, 603, 30215, 257, 5148, 1577, 533, 273, 815, 11096, 9372, 15311, 2908, 2891, 294, 14792, 1546, 548, 340, 2763, 257, 5148, 1577, 533, 274, 815, 11096, 9372, 15311, 2908, 2891, 298, 22611, 14100, 257, 5148, 1577, 533, 275, 815, 11096, 9372, 15311, 2908, 2891, 10387, 2742, 7108, 2006, 257, 5148, 1577, 533, 276, 815, 11096, 9372, 15311, 2908, 2891, 31466, 3559, 18539, 322, 5435, 257, 5148, 7684, 454, 3499, 325, 333, 1292, 3890, 13634, 2280, 533, 272, 815, 11096, 9372, 15311, 2908, 2891, 297, 644, 603, 30215, 8442, 3248, 2280, 533, 273, 815, 11096, 9372, 15311, 2908, 2891, 294, 14792, 1546, 548, 340, 2763, 8442, 3248, 2280, 533, 274, 815, 11096, 9372, 15311, 2908, 2891, 298, 22611, 14100, 8442, 3248, 2280, 533, 275, 815, 11096, 9372, 15311, 2908, 2891, 10387, 2742, 7108, 2006, 8442, 3248, 2280, 533, 276, 815, 11096, 9372, 15311, 2908, 2891, 31466, 3559, 18539, 322, 5435, 8442, 3248, 8679, 7884, 2080, 267, 649, 1711, 2947, 4756, 12622, 902, 609, 2947, 1007, 15806, 269, 1452, 616, 1250, 5172, 2947, 267, 855, 596, 666, 12990, 4896, 596, 1616, 269, 1403, 649, 4769, 1406, 5581, 602, 2387, 2908, 13237, 1599, 267, 621, 1131, 1413, 899, 713, 1384, 560, 1192, 11096, 9372, 2715, 2012, 281, 21642, 267, 7684, 535, 333, 1292, 3890, 2715, 1577, 533, 272, 815, 11096, 9372, 2715, 2012, 281, 834, 297, 644, 603, 30215, 2668, 1729, 23952, 3890, 7684, 282, 1577, 533, 273, 815, 11096, 9372, 2715, 2012, 281, 834, 294, 14792, 1546, 548, 340, 2763, 2668, 1729, 23952, 3890, 7684, 282, 1577, 533, 274, 815, 11096, 9372, 2715, 2012, 281, 834, 298, 22611, 14100, 2668, 1729, 23952, 3890, 7684, 282, 1577, 533, 275, 815, 11096, 9372, 2715, 2012, 281, 834, 10387, 2742, 7108, 2006, 2668, 1729, 23952, 3890, 7684, 282, 1577, 533, 276, 815, 11096, 9372, 2715, 2012, 281, 834, 31466, 3559, 18539, 322, 5435, 2668, 1729, 23952, 3890, 7684, 282, 7684, 454, 3499, 325, 333, 1292, 3890, 13634, 2280, 533, 272, 815, 11096, 9372, 2715, 2012, 281, 834, 297, 644, 603, 30215, 2668, 1729, 23952, 3890, 7684, 3248, 2280, 533, 273, 815, 11096, 9372, 2715, 2012, 281, 834, 294, 14792, 1546, 548, 340, 2763, 2668, 1729, 23952, 3890, 7684, 3248, 2280, 533, 274, 815, 11096, 9372, 2715, 2012, 281, 834, 298, 22611, 14100, 2668, 1729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12835, 547, 2845, 538, 912, 2791, 616, 6085, 532, 1210, 707, 31964, 2593, 2272, 563, 263, 8298, 4934, 1315, 454, 2791, 616, 6085, 532, 1210, 707, 12108, 2272, 563, 263, 8298, 4934, 1315, 454, 2791, 616, 6085, 532, 1210, 707, 9365, 2272, 563, 263, 8298, 4934, 1315, 454, 21010, 532, 547, 4939, 338, 454, 8253, 1518, 803, 540, 1007, 8292, 3842, 4757, 563, 8253, 1518, 803, 540, 1007, 9708, 3842, 4757, 563, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 563, 11767, 707, 4757, 2232, 547, 1246, 713, 5816, 543, 4309, 711, 5874, 540, 1007, 9708, 676, 4757, 563, 2690, 811, 1344, 827, 519, 4401, 4551, 267, 1519, 2274, 696, 1054, 3700, 1167, 641, 1817, 320, 267, 4945, 593, 713, 3239, 540, 519, 1433, 1358, 22165, 515, 11635, 281, 3203, 2065, 543, 11660, 7402, 12420, 609, 606, 9147, 5020, 4813, 563, 8620, 513, 3896, 610, 5816, 693, 31964, 2593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9947, 476, 1001, 273, 4828, 593, 1775, 27735, 540, 5201, 538, 1004, 781, 3232, 6296, 2561, 30068, 267, 5201, 568, 1031, 676, 782, 15211, 540, 1272, 4948, 538, 782, 3344, 269, 1280, 1383, 267, 538, 4832, 267, 2011, 2175, 1547, 16593, 713, 4267, 519, 2243, 269, 3204, 1841, 13259, 24703, 269, 670, 23697, 593, 519, 2165, 6046, 1379, 666, 2731, 18663, 596, 547, 4020, 27552, 4828, 29945, 538, 1557, 5098, 3948, 13181, 1557, 2055, 543, 13622, 912, 292, 12915, 6103, 630, 22706, 476, 279, 264, 13804, 564, 1143, 543, 24542, 2055, 585, 707, 2688, 7792, 4255, 543, 3211, 269, 769, 513, 31657, 286, 25873, 938, 840, 13402, 7792, 3211, 0, 9596, 827, 519, 14336, 800, 540, 519, 669, 926, 582, 543, 519, 4503, 2856, 540, 555, 636, 657, 555, 636, 657, 519, 14336, 800, 540, 519, 669, 926, 582, 519, 1148, 540, 812, 17349, 269, 634, 7954, 540, 555, 636, 657, 543, 544, 1307, 529, 538, 32189, 779, 14081, 3594, 593, 3504, 19967, 9111, 543, 519, 9322, 540, 519, 14081, 3294, 568, 10169, 11786, 269, 18573, 781, 263, 10517, 3016, 7565, 9873, 5416, 4297, 263, 32189, 264, 17647, 264, 1415, 264, 16591, 264, 516, 1783, 264, 1721, 264, 14006, 6819, 264, 338, 2869, 527, 7565, 628, 636, 657, 4297, 553, 264, 320, 476, 3374, 1765, 7906, 267, 264, 663, 264, 330, 571, 583, 267, 264, 337, 7565, 539, 4297, 680, 6737, 781, 263, 10517, 3016, 281, 263, 322, 15560, 263, 612, 904, 267, 263, 653, 269, 594, 4076, 5018, 1954, 644, 543, 519, 1259, 646, 3217, 32189, 779, 4182, 540, 519, 555, 636, 657, 543, 540, 4278, 553, 2096, 11030, 538, 32189, 779, 14081, 856, 519, 1148, 540, 812, 17349, 3896, 269, 634, 5072, 540, 2797, 2146, 281, 555, 636, 657, 543, 3112, 581, 2808, 519, 3803, 2262, 593, 12003, 609, 968, 5793, 13133, 633, 1557, 892, 538, 519, 14081, 540, 32189, 630, 2908, 269, 18573, 781, 2797, 6138, 32189, 568, 3622, 9763, 607, 835, 540, 519, 6574, 543, 1034, 9565, 519, 14081, 972, 568, 1390, 519, 3303, 1243, 851, 630, 628, 636, 657, 610, 563, 1103, 519, 14081, 267, 32189, 12857, 513, 1007, 1620, 540, 538, 519, 2468, 4820, 924, 3069, 540, 519, 9997, 267, 32189, 705, 663, 976, 519, 1124, 337, 1738, 7214, 626, 3069, 1124, 6233, 269, 594, 993, 28165, 547, 3565, 713, 1557, 547, 519, 4320, 538, 519, 3109, 6202, 3391, 547, 32189, 779, 14081, 23463, 1196, 575, 10327, 574, 657, 555, 636, 657, 543, 2468, 4820, 819, 538, 32189, 779, 269, 589, 5758, 540, 1433, 17488, 538, 32189, 781, 519, 14081, 3501, 585, 1035, 532, 3594, 267, 4255, 267, 543, 17118, 267, 607, 1134, 607, 585, 1603, 3992, 4566, 8141, 17084, 3406, 10624, 563, 303, 640, 543, 29832, 755, 538, 32189, 779, 538, 32189, 779, 968, 10517, 3016, 27535, 2565, 3594, 855, 1352, 568, 1318, 547, 3713, 606, 10728, 4295, 547, 32189, 779, 555, 636, 657, 602, 7182, 922, 269, 1323, 4367, 547, 32189, 14357, 281, 519, 12608, 2572, 543, 555, 636, 657, 798, 711, 538, 1433, 1535, 540, 519, 14081, 267, 32189, 3947, 519, 1383, 540, 513, 13556, 5127, 269, 769, 32189, 779, 14081, 519, 2042, 540, 10952, 4341, 538, 32189, 779, 14081, 543, 513, 568, 602, 972, 616, 1114, 2042, 540, 10952, 4341, 602, 3489, 563, 10666, 1649, 731, 23176, 781, 32189, 540, 8938, 3594, 630, 25279, 1597, 540, 799, 616, 593, 32189, 264, 2126, 540, 555, 636, 657, 538, 519, 14081, 568, 538, 1433, 476, 275, 649, 616, 5143, 602, 519, 269, 18573, 1863, 3594, 267, 2165, 4574, 543, 1433, 5359, 555, 636, 657, 281, 12003, 538, 32189, 781, 14081, 562, 11936, 658, 1490, 976, 517, 16472, 1606, 636, 4424, 1557, 1775, 544, 10583, 547, 581, 606, 563, 5522, 6737, 779, 14081, 950, 835, 1101, 693, 519, 942, 32189, 729, 1603, 519, 14081, 2147, 3594, 555, 636, 657, 281, 12003, 538, 32189, 781, 14081, 32189, 781, 14081, 269, 25021, 555, 636, 657, 281, 2592, 538, 713, 1557, 543, 14031, 538, 1433, 476, 275, 540, 519, 14081, 15320, 689, 4505, 6589, 676, 1202, 12371, 602, 555, 636, 657, 269, 0, 3528, 27950, 26573, 6953, 15071, 454, 1607, 15428, 543, 2799, 4528, 2488, 936, 1614, 4627, 1007, 7215, 602, 5351, 796, 16780, 3784, 519, 799, 1797, 540, 3232, 7215, 269, 2901, 13181, 543, 24886, 267, 519, 8313, 9607, 606, 10373, 1448, 540, 1514, 6643, 585, 2043, 609, 1306, 704, 3455, 15540, 267, 945, 946, 1463, 267, 9138, 1893, 543, 1412, 339, 820, 2152, 12777, 8339, 901, 8675, 3853, 547, 7006, 601, 1022, 10539, 602, 14340, 689, 519, 31495, 13133, 566, 540, 1893, 269, 898, 6799, 2188, 540, 936, 476, 4335, 271, 18986, 11703, 7215, 543, 606, 17170, 22639, 547, 741, 2184, 8864, 1448, 269, 1169, 835, 4082, 568, 4767, 676, 1259, 540, 513, 12001, 7787, 1436, 540, 922, 602, 1797, 543, 1247, 543, 519, 1259, 621, 9364, 581, 1031, 269, 634, 7215, 616, 3144, 689, 3703, 543, 1977, 2296, 267, 609, 513, 1906, 8241, 7215, 7471, 547, 18849, 269, 1256, 1498, 519, 8313, 568, 10416, 5921, 585, 2043, 609, 1306, 704, 3455, 15540, 267, 621, 786, 2693, 581, 10475, 585, 18825, 945, 796, 792, 2195, 7965, 6616, 18986, 11703, 543, 30351, 658, 2296, 269, 606, 1271, 2707, 543, 606, 13181, 1451, 267, 713, 8675, 786, 948, 538, 3833, 513, 2603, 540, 2621, 563, 5649, 6732, 610, 8281, 1323, 1306, 704, 3455, 9218, 540, 28064, 25285, 7300, 454, 16032, 2027, 2069, 2835, 454, 1607, 22265, 3391, 2488, 1459, 3741, 693, 519, 6580, 1851, 9275, 543, 2854, 1893, 2042, 269, 898, 2488, 3621, 543, 4081, 5784, 693, 519, 7650, 543, 7245, 540, 4819, 781, 16208, 543, 10259, 7965, 269, 634, 8313, 6238, 609, 513, 7811, 2689, 269, 519, 2034, 835, 8390, 8952, 519, 1641, 540, 16046, 2856, 543, 1685, 563, 23458, 543, 4317, 2721, 3724, 16094, 9382, 543, 5359, 519, 4434, 540, 1893, 538, 1463, 6935, 547, 1514, 2721, 3724, 1369, 519, 2038, 1296, 543, 2250, 269, 26479, 543, 14592, 540, 1514, 2721, 3724, 616, 9619, 543, 9962, 18125, 5018, 269, 2219, 543, 1685, 11341, 547, 1893, 6454, 543, 1514, 2721, 3724, 616, 8268, 563, 2252, 649, 991, 938, 5640, 547, 7173, 841, 267, 649, 666, 1405, 1265, 519, 2724, 585, 547, 8977, 547, 5506, 1018, 4386, 1310, 789, 1810, 1405, 4983, 269, 1282, 713, 25129, 267, 7605, 2106, 681, 269, 12722, 543, 1849, 18311, 19681, 6975, 1491, 596, 1900, 8386, 9912, 1282, 519, 4480, 540, 5356, 14942, 543, 5499, 4974, 5351, 1018, 8799, 19174, 798, 547, 1118, 2386, 602, 782, 5640, 3489, 519, 2953, 540, 6351, 543, 547, 1205, 1346, 1004, 945, 616, 7092, 1586, 593, 3077, 4505, 982, 789, 1205, 533, 1170, 539, 1055, 543, 16718, 563, 14946, 11365, 5678, 2042, 281, 3245, 26263, 8040, 547, 661, 16210, 3098, 12346, 693, 519, 4207, 15007, 540, 513, 2147, 2697, 20483, 676, 1797, 540, 519, 8585, 18115, 1950, 2833, 2295, 540, 519, 2852, 540, 17857, 269, 930, 942, 2250, 476, 1015, 1296, 267, 5458, 8441, 723, 3144, 2990, 538, 938, 23115, 856, 540, 4719, 543, 2825, 5540, 593, 1893, 2152, 538, 14038, 563, 268, 7335, 9737, 519, 20050, 281, 3955, 322, 8590, 9442, 585, 6178, 5678, 3955, 2181, 1562, 454, 268, 32664, 5753, 269, 25833, 21126, 454, 268, 1849, 3151, 519, 29621, 29361, 281, 7981, 543, 6301, 6894, 12140, 11554, 538, 26844, 454, 268, 10228, 18361, 540, 32664, 5525, 267, 5678, 267, 543, 4065, 630, 20329, 1108, 994, 268, 4139, 2689, 540, 1382, 538, 11095, 9124, 269, 11730, 17288, 3670, 267, 7351, 2152, 538, 519, 2069, 540, 1053, 609, 3308, 23043, 454, 15761, 571, 2200, 585, 1323, 1306, 704, 3455, 9218, 540, 28064, 25285, 454, 4510, 1315, 19836, 5058, 9215, 21398, 10498, 20780, 547, 24933, 20780, 896, 2673, 2706, 12858, 268, 21207, 1790, 23035, 31283, 519, 1482, 607, 8429, 519, 11369, 269, 2608, 20780, 547, 741, 19704, 6333, 2406, 21207, 13515, 1934, 6423, 8429, 519, 11369, 269, 575, 269, 575, 269, 575, 269, 2608, 4090, 685, 1040, 2073, 2048, 1740, 568, 1207, 21794, 803, 9957, 575, 269, 2608, 5759, 269, 2608, 9466, 10209, 5224, 31283, 519, 1482, 607, 1028, 561, 10107, 269, 2608, 32686, 1076, 6423, 7127, 2630, 543, 281, 593, 519, 19389, 543, 533, 4459, 519, 19389, 269, 12706, 513, 1732, 544, 748, 564, 1905, 589, 8360, 10834, 602, 930, 18563, 610, 10124, 786, 723, 16798, 1967, 269, 898, 24283, 689, 519, 2025, 6031, 602, 952, 513, 1268, 1045, 757, 513, 1732, 544, 748, 564, 1905, 267, 1287, 3025, 786, 10726, 513, 2619, 547, 602, 1268, 779, 7450, 630, 514, 824, 1913, 267, 3025, 786, 1616, 547, 4444, 519, 1007, 544, 748, 564, 1905, 1916, 13914, 513, 1268, 5654, 28457, 748, 269, 2608, 4365, 269, 634, 2165, 568, 6508, 689, 519, 8360, 2048, 527, 779, 4411, 2614, 547, 19068, 519, 30558, 513, 979, 16570, 1684, 1945, 6397, 269, 11084, 1055, 513, 21567, 24564, 9957, 575, 269, 2608, 13340, 883, 513, 7944, 10414, 513, 1268, 883, 513, 5696, 817, 512, 2931, 634, 1034, 1271, 2694, 540, 513, 2990, 1141, 789, 723, 513, 11658, 4901, 269, 634, 8360, 1577, 779, 1205, 1524, 547, 2039, 540, 3681, 269, 2608, 4216, 518, 883, 513, 7944, 540, 519, 4216, 532, 8258, 267, 1141, 646, 630, 528, 1352, 264, 568, 811, 7925, 547, 5696, 21724, 1055, 31283, 519, 1482, 607, 29380, 539, 1055, 269, 2608, 4858, 7999, 621, 856, 18984, 633, 9880, 610, 23827, 566, 676, 6414, 532, 538, 11589, 606, 15196, 1985, 7450, 6423, 8004, 1985, 7450, 563, 7922, 582, 593, 741, 5299, 1504, 589, 4057, 4062, 540, 10552, 593, 741, 3946, 4658, 945, 616, 960, 610, 3765, 2041, 6409, 21831, 602, 28746, 513, 3743, 585, 519, 2669, 540, 2576, 616, 1268, 779, 10639, 269, 589, 5299, 1504, 729, 513, 1767, 547, 723, 2048, 29188, 593, 741, 3946, 9957, 634, 1153, 1603, 1433, 1031, 547, 26821, 4050, 874, 19189, 666, 3277, 547, 12638, 267, 610, 547, 4929, 513, 544, 15201, 269, 2608, 10552, 267, 17570, 543, 17229, 589, 4062, 540, 960, 2349, 582, 593, 741, 1965, 12827, 3832, 517, 23985, 602, 602, 3340, 1973, 267, 17570, 543, 17229, 568, 835, 28746, 741, 10639, 269, 1323, 1965, 12827, 3832, 517, 568, 602, 3340, 513, 1390, 4308, 540, 4674, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 27368, 1477, 5814, 2979, 1477, 5228, 20313, 1104, 13405, 640, 20075, 826, 5897, 258, 30720, 1477, 310, 2839, 8025, 284, 8517, 1477, 310, 2562, 284, 6853, 18524, 269, 5891, 15630, 8548, 1712, 9230, 310, 2839, 8025, 267, 310, 2839, 8025, 17903, 6853, 18524, 269, 5891, 15630, 6831, 320, 1632, 2891, 288, 265, 11202, 15531, 23990, 257, 10142, 258, 3712, 832, 1477, 305, 3633, 14352, 14838, 267, 271, 267, 271, 3418, 294, 3918, 2894, 14352, 271, 267, 14838, 267, 271, 3418, 13993, 16604, 14352, 271, 267, 271, 267, 14838, 3418, 312, 21822, 8582, 14352, 14838, 267, 14838, 267, 271, 3418, 20062, 25492, 14352, 14838, 267, 14838, 267, 14838, 3418, 13993, 19272, 14352, 271, 267, 271, 267, 271, 3418, 303, 7838, 303, 4041, 14352, 12553, 267, 271, 267, 12553, 3418, 3036, 3198, 12283, 14352, 14838, 267, 13679, 267, 271, 3418, 294, 3918, 312, 14352, 12553, 267, 12553, 267, 12553, 3418, 303, 2562, 298, 14352, 13301, 267, 4343, 267, 5002, 10142, 5035, 20128, 263, 2567, 5897, 22592, 6449, 8181, 9191, 1345, 267, 992, 267, 3712, 267, 12296, 267, 20135, 318, 4900, 8029, 453, 19677, 269, 992, 284, 992, 1477, 453, 19677, 31815, 284, 3712, 1477, 453, 19677, 11859, 284, 992, 265, 12296, 1477, 453, 19677, 13885, 284, 3712, 265, 12296, 1477, 453, 19677, 269, 10233, 284, 20062, 25492, 1477, 453, 19677, 269, 31371, 26092, 17342, 15947, 453, 19677, 9884, 5954, 284, 12296, 1477, 453, 19677, 6745, 4973, 318, 4900, 284, 20135, 318, 4900, 5897, 22592, 1205, 29223, 4311, 8029, 453, 16596, 1582, 269, 992, 267, 1345, 31815, 5897, 22592, 568, 318, 29148, 4311, 8029, 453, 16596, 1582, 269, 10233, 2525, 305, 3633, 5897, 22592, 568, 318, 13449, 4311, 8029, 453, 16596, 1582, 269, 10233, 2525, 294, 3918, 2894, 5897, 22592, 568, 318, 8663, 8175, 4311, 8029, 453, 16596, 1582, 269, 10233, 2525, 13993, 19272, 5897, 22592, 476, 568, 318, 11034, 4311, 8029, 453, 16596, 1582, 269, 10233, 2525, 3036, 3198, 12283, 5897, 22592, 568, 318, 754, 4311, 8029, 453, 16596, 1582, 269, 10233, 2525, 303, 2562, 298, 5897, 22592, 19268, 4311, 8029, 453, 19677, 269, 10233, 284, 20062, 25492, 5897, 22592, 1118, 318, 11034, 4311, 8029, 453, 19677, 269, 10233, 284, 3036, 3198, 12283, 5897, 22592, 1118, 318, 743, 2216, 4311, 8029, 453, 19677, 269, 10233, 284, 305, 3633, 5897, 22592, 1118, 318, 13449, 4311, 8029, 453, 19677, 269, 10233, 284, 294, 3918, 2894, 5897, 22592, 1118, 318, 8663, 8175, 4311, 8029, 453, 19677, 269, 10233, 284, 13993, 19272, 5897, 22592, 1118, 318, 754, 4311, 8029, 453, 19677, 269, 10233, 284, 303, 2562, 298, 5897, 22592, 1118, 24786, 4311, 8029, 453, 19677, 269, 10233, 284, 303, 7838, 303, 4041, 5897, 22592, 2721, 4311, 267, 7773, 8029, 453, 453, 6853, 18524, 6155, 3863, 269, 5550, 263, 7773, 267, 1345, 269, 10233, 267, 263, 1345, 11859, 267, 1582, 13885, 267, 1582, 9884, 5954, 267, 1582, 9884, 5954, 264, 10142, 22592, 9337, 318, 31371, 26092, 4311, 267, 28186, 8029, 453, 19677, 269, 31371, 26092, 17342, 15947, 453, 14851, 1582, 269, 992, 2999, 1582, 6745, 4973, 318, 4900, 910, 476, 272, 543, 711, 7470, 314, 1345, 269, 992, 266, 272, 6012, 1345, 31815, 4940, 529, 318, 8663, 8175, 263, 2567, 1948, 6658, 1477, 4848, 19677, 269, 31371, 26092, 6910, 14116, 5090, 314, 1345, 269, 992, 266, 272, 6012, 1345, 31815, 316, 10142, 453, 14851, 1582, 269, 992, 3436, 476, 271, 543, 711, 7470, 314, 1345, 269, 992, 268, 272, 6012, 1345, 31815, 4940, 529, 318, 8663, 8175, 263, 2567, 1948, 1575, 1477, 4848, 19677, 269, 31371, 26092, 6910, 14116, 5090, 314, 1345, 269, 992, 268, 272, 6012, 1345, 31815, 29573, 4848, 1477, 453, 14851, 1582, 31815, 2999, 1582, 6745, 4973, 318, 4900, 910, 476, 272, 543, 711, 7470, 314, 1345, 269, 992, 6012, 1345, 31815, 266, 272, 4940, 529, 318, 8663, 8175, 263, 2567, 1948, 2431, 1477, 4848, 19677, 269, 31371, 26092, 6910, 14116, 5090, 314, 1345, 269, 992, 6012, 1345, 31815, 266, 272, 29573, 4848, 1477, 453, 14851, 1582, 31815, 3436, 271, 543, 711, 7470, 314, 1345, 269, 992, 6012, 1345, 31815, 268, 272, 4940, 529, 318, 8663, 8175, 263, 2567, 1948, 3847, 1477, 4848, 19677, 269, 31371, 26092, 6910, 14116, 5090, 314, 1345, 269, 992, 6012, 1345, 31815, 268, 272, 29573, 5897, 22592, 6449, 2741, 9191, 1345, 267, 824, 8029, 453, 16596, 8771, 5897, 3698, 554, 9638, 272, 28872, 273, 8029, 453, 343, 272, 267, 586, 272, 815, 533, 272, 1477, 453, 343, 273, 267, 586, 273, 815, 533, 273, 1477, 16596, 2612, 3287, 272, 14870, 273, 264, 1341, 2612, 12169, 272, 3917, 273, 10142, 3698, 18949, 24786, 263, 2492, 318, 5228, 267, 1699, 267, 2721, 8029, 453, 1477, 453, 6112, 1699, 538, 2097, 318, 5228, 6769, 453, 453, 9690, 284, 2492, 318, 5228, 314, 9690, 15947, 453, 453, 9690, 6230, 820, 24786, 14052, 453, 453, 9526, 31476, 3698, 5690, 5560, 3863, 267, 7470, 267, 1376, 267, 1439, 2567, 5897, 453, 12248, 284, 271, 1477, 453, 13449, 27133, 284, 13405, 640, 20075, 826, 14052, 453, 13449, 27133, 269, 1584, 9230, 271, 267, 1293, 267, 1376, 17903, 453, 2492, 318, 5228, 284, 24001, 1477, 453, 326, 23962, 28121, 4944, 582, 281, 10581, 2891, 8882, 8442, 585, 4737, 538, 7470, 585, 5544, 538, 4737, 348, 1477, 453, 326, 23962, 314, 11034, 24557, 271, 5897, 453, 325, 23962, 28121, 4944, 582, 281, 10581, 2891, 8882, 8442, 585, 4737, 538, 7470, 585, 5544, 538, 4737, 348, 1477, 453, 325, 23962, 314, 11034, 24557, 327, 263, 11034, 10947, 29223, 19572, 1439, 10947, 29223, 3890, 10142, 453, 13449, 27133, 20189, 1662, 28121, 11034, 348, 5897, 453, 6112, 711, 1930, 27133, 269, 24105, 28399, 453, 22610, 2680, 538, 27368, 4318, 1203, 10947, 28399, 4848, 14851, 2680, 269, 6943, 2525, 6853, 18524, 269, 12702, 3951, 6769, 15235, 453, 6853, 18524, 269, 10181, 31476, 453, 453, 9690, 815, 1930, 27133, 10947, 3890, 314, 273, 15947, 453, 453, 13449, 27133, 20189, 1662, 31927, 263, 9690, 10142, 453, 14851, 1699, 2525, 754, 6769, 4848, 453, 516, 24554, 24786, 263, 2492, 318, 5228, 267, 1439, 267, 2721, 3418, 4848, 453, 754, 6230, 820, 318, 754, 14052, 4848, 16596, 6936, 5897, 453, 22610, 7023, 538, 1699, 269, 31371, 26092, 6769, 4848, 453, 31184, 14682, 23962, 284, 326, 23962, 314, 9690, 27994, 272, 5897, 4848, 14851, 10917, 14682, 23962, 2999, 575, 23962, 314, 31371, 4011, 13912, 258, 321, 21392, 2619, 1477, 15235, 453, 2492, 318, 5228, 314, 31371, 4011, 24557, 9690, 1477, 15235, 453, 326, 23962, 314, 31371, 4011, 24557, 31184, 14682, 23962, 1477, 15235, 453, 325, 23962, 314, 31371, 4011, 24557, 31184, 14682, 23962, 1341, 554, 263, 31371, 4011, 10947, 29223, 19572, 1439, 10947, 29223, 3890, 3418, 15235, 14851, 7023, 711, 538, 1930, 27133, 20189, 1662, 6769, 20930, 453, 12248, 23785, 272, 1477, 20930, 453, 13449, 27133, 269, 1584, 9230, 325, 23962, 314, 31371, 4011, 3910, 1293, 267, 7023, 17903, 20930, 453, 13449, 27133, 20189, 1662, 14491, 263, 31371, 4011, 3418, 20930, 453, 31371, 4011, 6230, 820, 318, 13449, 31476, 453, 453, 9526, 31476, 453, 14851, 1699, 11203, 1376, 6769, 4848, 453, 9690, 6230, 820, 318, 743, 2216, 31476, 16596, 8771, 5897, 3698, 1118, 14682, 5090, 263, 4900, 267, 8700, 8029, 453, 28186, 17342, 15947, 453, 326, 777, 284, 8700, 12262, 9343, 1477, 22610, 1775, 538, 2039, 263, 4900, 8029, 453, 453, 28186, 6910, 8443, 29573, 453, 22610, 795, 538, 2039, 263, 4900, 8029, 4848, 453, 4944, 582, 815, 20128, 9217, 267, 795, 267, 7934, 267, 9343, 3418, 4848, 453, 28186, 5157, 4940, 6572, 4433, 13607, 10142, 16596, 7470, 5897, 258, 9526, 532, 519, 7470, 21506, 3698, 2721, 14682, 5090, 263, 7773, 267, 9343, 267, 8700, 8029, 453, 326, 777, 284, 8700, 12262, 9343, 1477, 22610, 1775, 538, 2039, 263, 4900, 8029, 453, 453, 6853, 18524, 6155, 3863, 269, 1467, 263, 7773, 267, 24321, 312, 267, 630, 271, 267, 1775, 265, 326, 777, 1070, 630, 12296, 267, 1775, 265, 326, 777, 17903, 453, 22610, 795, 538, 2039, 263, 4900, 8029, 4848, 453, 6853, 18524, 6155, 3863, 269, 1467, 263, 7773, 267, 24321, 312, 267, 630, 329, 265, 326, 777, 267, 476, 271, 1070, 630, 329, 265, 326, 777, 267, 8700, 264, 10142, 3698, 2721, 263, 7773, 267, 28186, 267, 4900, 267, 12296, 8029, 453, 7773, 8807, 650, 263, 20062, 25492, 10142, 22610, 4737, 538, 7470, 6769, 453, 22610, 5544, 538, 4737, 6769, 4848, 453, 4944, 582, 6155, 3863, 263, 7773, 10142, 453, 9526, 14682, 5090, 263, 7773, 267, 9343, 267, 8700, 3418, 453, 6853, 18524, 269, 5891, 269, 26303, 31476, 3698, 1205, 318, 743, 17673, 29223, 263, 1842, 267, 9343, 267, 8700, 8029, 453, 326, 777, 284, 12296, 2260, 4900, 1477, 453, 344, 21726, 284, 1842, 5897, 453, 992, 284, 344, 2260, 326, 777, 1477, 453, 3712, 24210, 2260, 326, 777, 1477, 16596, 4737, 267, 897, 5897, 3698, 1292, 263, 7773, 267, 8700, 8029, 453, 4629, 16703, 284, 2004, 1477, 453, 28186, 284, 24708, 14682, 5090, 263, 4629, 16703, 267, 8700, 10142, 453, 11034, 22561, 1477, 453, 754, 22561, 5897, 453, 14725, 18989, 21506, 453, 11034, 539, 25716, 5897, 453, 6112, 2196, 6769, 453, 453, 9526, 263, 7773, 267, 7470, 267, 681, 8582, 306, 267, 8700, 3418, 453, 22610, 2680, 538, 27368, 4318, 1203, 10947, 28399, 4848, 14851, 2680, 269, 6943, 2525, 6853, 18524, 269, 12702, 3951, 6769, 15235, 453, 14725, 25716, 5897, 4848, 14851, 27368, 6230, 1787, 10947, 7272, 5962, 3890, 314, 271, 13912, 476, 1948, 3847, 1477, 15235, 453, 1842, 284, 6853, 18524, 6230, 1787, 10947, 29223, 14052, 15235, 453, 992, 267, 3712, 284, 1326, 318, 743, 17673, 29223, 263, 1842, 267, 681, 8582, 306, 267, 8700, 3418, 15235, 453, 4944, 582, 284, 28186, 314, 992, 6012, 3712, 15947, 15235, 14851, 711, 1376, 543, 5544, 11203, 1439, 2433, 1477, 20930, 453, 11034, 284, 4944, 582, 1477, 20930, 453, 11034, 6230, 820, 318, 11034, 31476, 15235, 453, 19197, 711, 1439, 543, 5544, 11203, 1376, 6769, 20930, 453, 754, 284, 4944, 582, 1477, 20930, 453, 754, 6230, 820, 318, 754, 31476, 15235, 453, 19197, 5544, 11203, 1439, 543, 5544, 11203, 1376, 6769, 20930, 453, 4944, 582, 6230, 820, 318, 8663, 8175, 31476, 4848, 453, 19197, 27368, 6230, 1787, 10947, 7272, 5962, 3890, 314, 273, 13912, 1948, 2431, 1477, 15235, 453, 1842, 284, 6853, 18524, 6230, 1787, 10947, 29223, 14052, 15235, 453, 992, 267, 3712, 284, 1326, 318, 743, 17673, 29223, 263, 1842, 267, 681, 8582, 306, 267, 8700, 3418, 15235, 453, 4944, 582, 284, 28186, 314, 992, 6012, 3712, 15947, 15235, 453, 4944, 582, 269, 637, 564, 31476, 15235, 14851, 5544, 2652, 1376, 6769, 20930, 453, 11034, 22561, 5897, 15235, 453, 19197, 5544, 2525, 754, 6769, 20930, 453, 754, 22561, 5897, 4848, 14851, 2680, 269, 6943, 2525, 6853, 18524, 14389, 292, 312, 291, 32052, 6769, 15235, 14851, 2680, 269, 4486, 2525, 6853, 18524, 14389, 318, 9915, 19781, 543, 1376, 543, 1439, 6769, 20930, 22610, 4737, 538, 7470, 6769, 4848, 15235, 22610, 5544, 538, 4737, 6769, 20930, 4848, 453, 4944, 582, 269, 26303, 318, 31371, 26092, 14116, 5090, 10142, 20930, 453, 14607, 3596, 332, 10857, 10033, 281, 2721, 263, 7773, 267, 7470, 267, 681, 8582, 306, 267, 8700, 1070, 7470, 267, 1376, 267, 1439, 3418, 453, 1477, 15235, 14851, 2680, 269, 4486, 2525, 6853, 18524, 14389, 6831, 6769, 20930, 453, 11034, 22561, 1477, 20930, 453, 754, 22561, 1477, 20930, 453, 28186, 284, 24708, 14682, 5090, 263, 4629, 16703, 267, 8700, 3418, 4848, 15235, 1477, 453, 6853, 18524, 269, 10181, 14052, 10852, 263, 310, 2562, 267, 310, 2839, 8025, 264, 0, 18257, 2781, 857, 1609, 796, 10872, 26982, 1396, 682, 535, 747, 1512, 632, 678, 15530, 738, 520, 964, 7158, 632, 3288, 1788, 850, 1477, 18257, 1477, 258, 5814, 566, 632, 9074, 11885, 1696, 3288, 5391, 571, 21961, 21267, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 5897, 258, 537, 3200, 675, 632, 535, 747, 1512, 632, 2990, 1477, 325, 747, 1512, 284, 13449, 3488, 6570, 17902, 3299, 332, 1712, 8782, 337, 262, 10142, 258, 937, 675, 632, 535, 747, 1512, 31429, 324, 1612, 31429, 324, 1477, 331, 793, 525, 284, 325, 747, 1512, 18667, 14061, 20889, 28361, 333, 262, 10142, 258, 13062, 2946, 518, 476, 274, 1592, 525, 642, 1938, 1696, 26955, 21129, 597, 1775, 3355, 324, 1477, 343, 17342, 15947, 344, 17342, 15947, 339, 17342, 15947, 328, 284, 272, 5897, 258, 684, 536, 537, 2193, 26982, 513, 329, 719, 324, 8350, 1130, 324, 2720, 632, 7158, 1696, 632, 1661, 1186, 546, 753, 8350, 1592, 525, 642, 1938, 1477, 6112, 1775, 283 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2647, 2039, 540, 3156, 543, 24913, 338, 269, 4256, 25382, 267, 8112, 267, 543, 1942, 13716, 4369, 1118, 873, 606, 10694, 3903, 585, 4213, 540, 782, 7306, 543, 2066, 3309, 6080, 563, 30208, 8320, 267, 519, 5691, 1242, 7384, 5054, 602, 1379, 6531, 7384, 267, 616, 1500, 2009, 998, 5691, 1436, 4066, 269, 1452, 4066, 1450, 6531, 7426, 547, 15652, 741, 2168, 8800, 2200, 883, 2789, 9678, 5691, 6191, 630, 309, 16039, 1070, 1142, 5827, 540, 4881, 922, 1378, 5665, 1062, 543, 3156, 563, 4263, 519, 2295, 540, 713, 5691, 1436, 1184, 6013, 519, 5409, 6665, 528, 267, 513, 3301, 4494, 602, 18795, 1063, 519, 2168, 8800, 543, 519, 5691, 6191, 269, 634, 5409, 6665, 528, 6411, 607, 513, 5691, 3684, 9614, 267, 782, 20814, 543, 5883, 519, 5817, 8800, 2200, 267, 1519, 17765, 267, 3965, 267, 4859, 267, 543, 3060, 14479, 267, 1851, 519, 1585, 966, 16039, 563, 2691, 513, 3593, 13668, 513, 6531, 3236, 267, 519, 6531, 8502, 781, 2359, 3301, 2824, 338, 606, 3617, 2168, 7746, 543, 4051, 338, 519, 5409, 6665, 528, 547, 1711, 513, 1007, 966, 300, 593, 602, 7746, 269, 634, 5409, 6665, 528, 782, 665, 919, 519, 9138, 2179, 540, 17765, 267, 3965, 267, 543, 4859, 547, 519, 966, 300, 267, 543, 1287, 13907, 519, 6074, 5665, 1062, 5196, 519, 5691, 3684, 563, 763, 4611, 6531, 3236, 31136, 899, 513, 6131, 2168, 2780, 267, 3850, 3755, 547, 3888, 3301, 267, 2196, 3156, 267, 543, 4558, 1239, 1175, 607, 789, 1131, 593, 513, 2168, 3684, 269, 1717, 267, 519, 3236, 568, 2965, 4687, 519, 5817, 8800, 2200, 609, 824, 966, 16039, 267, 7307, 7561, 676, 519, 5409, 6665, 528, 563, 30208, 8320, 666, 849, 581, 1759, 593, 8708, 2029, 269, 29597, 619, 616, 17426, 267, 9678, 5054, 602, 2671, 519, 1482, 5665, 1062, 17830, 855, 723, 741, 1378, 3758, 1949, 543, 3498, 3157, 269, 1358, 616, 811, 17426, 543, 4199, 18026, 982, 966, 16039, 267, 1818, 873, 5078, 585, 11766, 532, 31442, 26236, 543, 6531, 28921, 3156, 563, 4910, 1830, 14305, 568, 513, 2629, 2460, 540, 6531, 7384, 267, 4180, 602, 1142, 3236, 11392, 519, 3617, 2179, 540, 17765, 267, 20433, 267, 543, 4859, 547, 2743, 922, 24913, 7569, 269, 634, 14305, 1184, 3322, 513, 4999, 540, 3593, 20452, 19383, 543, 6422, 4199, 2359, 2553, 563, 268, 14871, 5937, 18249, 4762, 580, 15342, 910, 2691, 11865, 532, 513, 6531, 3236, 267, 3755, 3335, 2824, 606, 3236, 1826, 610, 5691, 3684, 630, 30470, 264, 1826, 267, 799, 11225, 519, 8800, 16551, 540, 519, 3236, 269, 901, 2882, 519, 1297, 540, 17765, 23780, 267, 20433, 4390, 267, 543, 4859, 2450, 269, 634, 3236, 1826, 6074, 11887, 519, 15977, 4199, 14305, 585, 519, 3236, 563, 268, 25674, 12754, 5004, 910, 30208, 7426, 2308, 10427, 4199, 2359, 2553, 547, 11126, 4199, 13345, 543, 2327, 602, 8320, 723, 1569, 547, 519, 2200, 789, 991, 267, 1256, 950, 3747, 11385, 919, 269, 1452, 2553, 1331, 912, 272, 269, 12754, 623, 944, 532, 910, 4910, 1545, 689, 2789, 2168, 13763, 616, 7535, 539, 1927, 267, 3850, 519, 5409, 6665, 528, 547, 29858, 21138, 2200, 547, 8320, 1759, 593, 741, 1699, 2115, 563, 273, 269, 3683, 2889, 9679, 532, 910, 30208, 7426, 949, 936, 2889, 9679, 2200, 267, 782, 20814, 811, 2200, 982, 519, 2168, 8800, 666, 2965, 1683, 269, 901, 2636, 873, 547, 13918, 26389, 538, 3747, 543, 2327, 602, 8320, 723, 1569, 547, 519, 2200, 789, 991, 950, 2877, 563, 274, 269, 12754, 16424, 910, 30208, 7426, 7683, 6895, 4199, 6165, 543, 2773, 14573, 547, 2697, 8320, 602, 2154, 3606, 2200, 610, 1346, 602, 666, 882, 22055, 880, 30694, 2200, 563, 275, 269, 12754, 774, 549, 1777, 1782, 910, 769, 2665, 1141, 2949, 4199, 6165, 568, 1164, 267, 6531, 7426, 949, 17303, 555, 8527, 1479, 519, 2200, 21248, 547, 1978, 8320, 547, 2226, 2949, 1062, 2773, 563, 4322, 6422, 4199, 2359, 2553, 2327, 602, 6531, 8320, 723, 1569, 547, 519, 2200, 789, 991, 547, 2196, 7561, 1247, 17306, 2949, 4199, 13345, 543, 4509, 1062, 6617, 563, 2304, 3236, 568, 513, 5691, 3684, 630, 30470, 264, 18799, 593, 5616, 781, 5989, 269, 1411, 666, 1711, 606, 3236, 610, 1711, 513, 1895, 540, 7307, 8320, 676, 1210, 519, 5616, 13192, 23641, 267, 519, 5616, 13192, 14160, 296, 267, 610, 519, 30770, 5422, 16286, 269, 634, 2474, 30770, 5422, 3236, 267, 5691, 3684, 3236, 2073, 966, 300, 3236, 267, 543, 966, 300, 616, 24190, 563, 763, 6538, 568, 519, 1305, 540, 6119, 1141, 3498, 1239, 630, 1492, 2601, 585, 513, 6538, 264, 543, 13849, 1239, 568, 6740, 269, 1323, 3236, 568, 519, 3301, 630, 663, 3965, 264, 602, 26057, 3096, 547, 13861, 519, 1239, 538, 519, 6538, 563, 10303, 606, 3236, 6818, 538, 3965, 543, 513, 6538, 630, 514, 519, 7522, 652, 2631, 540, 2165, 264, 568, 513, 1305, 540, 6119, 593, 12210, 267, 606, 3236, 666, 2291, 1510, 513, 6538, 543, 513, 6538, 666, 2291, 1510, 606, 3236, 563, 9743, 1734, 616, 519, 2679, 7161, 540, 6531, 7384, 267, 3246, 3755, 609, 513, 5691, 3684, 602, 666, 581, 11865, 539, 267, 27358, 267, 543, 7307, 20716, 269, 1358, 2709, 513, 8465, 543, 27249, 1259, 547, 11766, 3156, 543, 24913, 338, 1510, 519, 991, 585, 2168, 8800, 610, 593, 1790, 8145, 2478, 5989, 563, 9743, 1734, 723, 19117, 519, 1259, 3906, 4383, 741, 8668, 5989, 267, 3246, 513, 27249, 267, 8465, 267, 1942, 15807, 267, 543, 6385, 11766, 762, 3070, 585, 4881, 3156, 543, 24913, 338, 269, 1358, 723, 1831, 606, 16832, 1907, 585, 4213, 540, 782, 7306, 267, 16779, 873, 547, 3048, 622, 543, 3082, 538, 519, 6422, 3059, 1158, 269, 0, 10048, 12994, 20673, 534, 529, 630, 9692, 274, 268, 7277, 277, 2567, 18004, 538, 631, 1301, 752, 16587, 538, 20098, 603, 328, 267, 646, 729, 2907, 3742, 1354, 519, 1376, 540, 519, 7169, 269, 769, 476, 9264, 273, 646, 729, 12912, 31111, 6205, 540, 20098, 603, 328, 269, 1261, 3576, 851, 538, 519, 4838, 2456, 685, 6285, 538, 8585, 3711, 10314, 538, 5437, 476, 9264, 278, 543, 538, 23063, 807, 538, 5412, 476, 9264, 279, 269, 1261, 5747, 513, 21345, 593, 715, 1314, 657, 267, 1141, 646, 1185, 19679, 1310, 519, 1439, 540, 519, 7169, 563, 763, 18179, 4168, 31350, 753, 3576, 851, 538, 519, 5259, 7169, 267, 855, 519, 6532, 729, 711, 7471, 883, 519, 5259, 1533, 3964, 538, 476, 8146, 271, 269, 11511, 974, 7283, 513, 15896, 540, 519, 16368, 7276, 267, 609, 7368, 909, 5142, 902, 676, 519, 5259, 11317, 267, 2394, 476, 6245, 279, 267, 950, 621, 6591, 922, 13190, 630, 290, 4958, 534, 3557, 1070, 1354, 5555, 1373, 11368, 883, 519, 8003, 540, 10255, 538, 476, 4489, 274, 269, 0, 7072, 547, 15306, 12601, 301, 543, 922, 15783, 454, 8702, 547, 519, 2085, 540, 15306, 12601, 301, 267, 1141, 5647, 6487, 1100, 23451, 543, 2029, 568, 30507, 1169, 2460, 540, 938, 2729, 269, 3245, 5841, 4987, 547, 5691, 4641, 267, 713, 1007, 20281, 538, 6639, 13120, 568, 2921, 721, 593, 513, 13858, 3460, 883, 519, 2104, 269, 769, 713, 5816, 2022, 267, 649, 786, 2263, 519, 1761, 540, 15306, 12601, 301, 543, 922, 1764, 593, 1585, 6080, 269, 1924, 3728, 523, 707, 10160, 10964, 1206, 543, 1205, 4712, 585, 606, 17938, 1791, 908, 11878, 998, 519, 1158, 540, 15306, 12601, 301, 2336, 763, 10020, 540, 14464, 11106, 538, 15306, 12601, 301, 454, 25369, 11106, 630, 9590, 264, 814, 7153, 607, 513, 6117, 3196, 3297, 519, 4028, 7760, 543, 10124, 1369, 519, 15306, 12601, 301, 2230, 269, 2060, 922, 2702, 547, 1184, 5318, 5666, 540, 1239, 267, 1451, 689, 3270, 267, 543, 1118, 14628, 3664, 267, 3642, 4249, 513, 11358, 1909, 538, 5935, 519, 2104, 540, 2029, 563, 1103, 15306, 12601, 301, 267, 3642, 568, 8246, 547, 3986, 1585, 3344, 971, 607, 12957, 267, 16762, 12642, 267, 2123, 1436, 267, 543, 10995, 1949, 269, 1280, 3236, 267, 3642, 14617, 26962, 616, 30507, 6075, 3028, 676, 3246, 8216, 6114, 543, 10531, 7840, 269, 5047, 267, 3684, 1565, 6620, 5512, 5904, 547, 5659, 1950, 1239, 5036, 585, 4247, 899, 3239, 6284, 610, 2067, 1893, 4393, 563, 13010, 267, 3642, 568, 15747, 538, 17306, 4398, 543, 7607, 1369, 3906, 269, 3414, 12747, 3157, 543, 10995, 6620, 267, 4213, 666, 20928, 4238, 543, 1118, 1239, 12454, 3664, 693, 606, 13778, 3432, 269, 901, 711, 1152, 17990, 942, 855, 849, 2636, 4648, 547, 1445, 593, 811, 7580, 7341, 563, 4913, 267, 609, 1390, 1379, 2501, 1390, 5539, 269, 19078, 9270, 4478, 3642, 779, 946, 538, 15306, 12601, 301, 1590, 581, 9619, 30082, 269, 1306, 6191, 1831, 811, 14628, 543, 3375, 6194, 10593, 2476, 689, 1480, 1852, 267, 2055, 8451, 3823, 12477, 543, 1761, 12886, 11251, 1369, 6620, 563, 300, 527, 580, 908, 891, 4220, 1247, 19713, 519, 2407, 1761, 540, 3642, 538, 15306, 12601, 301, 3340, 5698, 1063, 4966, 2066, 1114, 4610, 1519, 2780, 2257, 7881, 3173, 267, 3609, 24237, 267, 543, 2872, 3401, 269, 8625, 267, 649, 666, 2327, 602, 713, 3532, 1907, 568, 18611, 31719, 543, 8309, 9797, 2509, 2518, 3356, 563, 2026, 649, 3136, 593, 713, 3460, 883, 519, 7706, 540, 6639, 5647, 267, 519, 1909, 540, 5841, 4987, 786, 17216, 4228, 269, 4706, 3310, 786, 3337, 711, 1175, 938, 4948, 2729, 855, 849, 28196, 710, 6080, 543, 1711, 1007, 3255, 585, 2208, 269, 15306, 12601, 301, 4564, 606, 3078, 20281, 1141, 7399, 616, 11995, 607, 1279, 607, 649, 1935, 621, 609, 6297, 7156, 543, 606, 26772, 7029, 547, 5683, 2853, 563, 763, 8177, 540, 15306, 12601, 301, 593, 519, 8892, 540, 4518, 454, 24728, 12601, 301, 568, 30507, 519, 1259, 649, 960, 267, 8744, 513, 1007, 5951, 540, 7399, 543, 2591, 269, 2060, 7760, 538, 12957, 267, 5841, 4987, 630, 9590, 1070, 543, 14479, 267, 938, 2757, 1620, 540, 960, 568, 1373, 18534, 9464, 563, 3080, 2101, 1764, 540, 15306, 12601, 301, 593, 519, 2104, 540, 960, 568, 2799, 4398, 269, 3642, 14617, 1949, 666, 6023, 16625, 4247, 267, 1863, 532, 909, 942, 585, 5520, 547, 1445, 593, 811, 1950, 543, 3860, 18129, 269, 901, 1797, 602, 6009, 786, 11457, 547, 2154, 2362, 2157, 540, 2565, 3206, 267, 1966, 9010, 267, 543, 5647, 563, 12234, 267, 6552, 960, 814, 1831, 5051, 2442, 7064, 547, 15306, 12601, 301, 269, 2060, 5691, 2792, 2645, 543, 6531, 2861, 5698, 5867, 267, 6887, 1100, 3476, 723, 547, 581, 9308, 1459, 538, 835, 4087, 269, 901, 10741, 909, 3255, 585, 8465, 2324, 12417, 543, 1569, 547, 513, 2518, 13007, 7535, 563, 4913, 267, 621, 779, 1271, 547, 2232, 519, 1761, 17498, 1938, 607, 1134, 269, 634, 4473, 540, 12957, 949, 1291, 547, 2816, 12761, 538, 1978, 9922, 269, 1306, 2029, 5170, 547, 4434, 693, 606, 12825, 2557, 267, 4600, 1590, 3082, 741, 1983, 9935, 610, 1981, 1373, 2451, 3297, 563, 11101, 267, 972, 616, 5683, 9270, 4478, 1239, 7834, 543, 3354, 1369, 519, 7706, 540, 15306, 12601, 301, 269, 14992, 991, 22608, 4507, 538, 1747, 547, 2149, 6213, 1344, 689, 6880, 6937, 563, 2026, 649, 9784, 15306, 12601, 301, 779, 1761, 585, 13321, 6080, 2066, 1585, 9922, 899, 3782, 267, 2069, 267, 543, 8804, 282, 898, 779, 2629, 602, 649, 6330, 891, 2242, 609, 1416, 1107, 4180, 13784, 1247, 5466, 4145, 827, 2816, 2530, 543, 1239, 4027, 563, 3849, 9330, 906, 538, 14044, 18712, 543, 4119, 7757, 18712, 1369, 519, 15306, 12601, 301, 6611, 454, 29919, 4641, 630, 23623, 264, 543, 21284, 4641, 630, 2752, 264, 723, 7153, 607, 3014, 19145, 4066, 1369, 519, 7706, 540, 15306, 12601, 301, 269, 1452, 15138, 4066, 616, 30507, 1585, 6080, 267, 689, 11080, 547, 3782, 267, 2069, 547, 6189, 563, 1103, 15283, 267, 3755, 616, 16487, 883, 513, 20533, 1604, 1141, 789, 666, 2170, 609, 3059, 3615, 610, 2263, 5691, 8916, 269, 2060, 4824, 12449, 543, 811, 10853, 2833, 267, 15283, 568, 6679, 909, 1007, 7399, 585, 2866, 13502, 267, 3797, 5574, 267, 543, 1256, 5691, 9235, 563, 4002, 519, 824, 1688, 267, 8121, 6772, 904, 3059, 1344, 538, 1483, 8996, 5054, 269, 3414, 28707, 3457, 899, 5100, 14296, 610, 5985, 8924, 593, 16389, 267, 3755, 666, 1294, 2780, 24378, 2592, 2706, 574, 12723, 593, 741, 10450, 269, 901, 2029, 814, 10373, 1761, 538, 4610, 971, 607, 10685, 267, 10229, 267, 543, 12445, 563, 24728, 12601, 301, 568, 6117, 7760, 538, 1312, 15283, 543, 8121, 676, 11319, 6639, 6302, 269, 11627, 725, 899, 688, 10364, 5955, 17309, 5512, 3755, 547, 1745, 28241, 17915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6124, 4944, 1653, 8907, 547, 6749, 476, 736, 829, 1298, 676, 2073, 1867, 25221, 892, 634, 31248, 543, 25357, 269, 8158, 4989, 476, 5881, 267, 630, 10674, 2517, 4178, 31677, 6921, 12786, 663, 21166, 2593, 22812, 1636, 6823, 1532, 5350, 270, 2908, 4944, 1653, 3146, 15467, 3562, 1673, 549, 3899, 7266, 8386, 516, 1636, 1790, 9438, 338, 270, 14835, 270, 994, 299, 773, 341, 709, 342, 267, 2274, 1695, 589, 269, 543, 590, 8205, 12389, 7723, 267, 32308, 269, 18361, 540, 1715, 9012, 281, 4317, 1744, 12686, 543, 4317, 31664, 269, 5507, 2433, 590, 17803, 23549, 563, 18250, 294, 1853, 333, 267, 30370, 267, 2073, 968, 290, 987, 4301, 8211, 1023, 543, 7377, 592, 626, 8682, 6953, 27626, 281, 8211, 1108, 543, 11059, 538, 519, 30466, 517, 880, 31913, 16989, 4065, 11873, 538, 8109, 25429, 32108, 267, 9232, 267, 631, 6993, 269, 19080, 267, 17363, 2605, 6471, 2160, 563, 300, 2075, 7637, 267, 3220, 269, 968, 7661, 3752, 334, 10787, 1067, 674, 2074, 631, 976, 27053, 543, 654, 1231, 5608, 8158, 4989, 476, 5881, 267, 630, 10674, 2517, 14895, 269, 1067, 3712, 320, 2593, 4882, 2572, 270, 14895, 270, 1105, 633, 2260, 1321, 270, 1839, 270, 704, 1097, 1606, 577, 1889, 16014, 1922, 541, 1067, 2914, 14833, 15515, 520, 2173, 976, 27053, 269, 5684, 343, 1916, 300, 976, 27053, 267, 715, 6155, 1421, 968, 8110, 1097, 5576, 1889, 16014, 5608, 8158, 4989, 476, 5881, 267, 630, 10674, 2517, 4178, 6230, 976, 27053, 2593, 30406, 1613, 338, 18025, 1137, 270, 704, 1097, 1606, 577, 1889, 16014, 269, 5684, 343, 1916, 263, 28122, 288, 264, 16373, 3194, 543, 11106, 5948, 540, 4516, 3896, 267, 715, 6155, 269, 8158, 4989, 476, 1428, 267, 630, 10674, 2517, 332, 6319, 268, 541, 574, 28022, 270, 994, 302, 685, 3725, 11035, 267, 6833, 787, 968, 20238, 1470, 1772, 16458, 269, 7043, 14970, 15571, 5608, 7201, 519, 21478, 267, 595, 6195, 267, 5988, 476, 2420, 267, 2073, 8158, 267, 4989, 476, 6021, 267, 630, 10674, 2517, 4178, 6983, 25900, 28022, 270, 8974, 1492, 8882, 26475, 270, 572, 1783, 268, 274, 2260, 6349, 270, 2420, 270, 2784, 1470, 28104, 11546, 611, 17489, 2000, 633, 268, 2784, 1470, 268, 273, 270, 994, 3682, 3519, 269, 968, 21581, 10632, 1848, 5130, 476, 276, 269, 8158, 5130, 476, 1321, 267, 630, 10674, 2517, 341, 728, 690, 1868, 269, 2889, 935, 3820, 270, 1916, 308, 2529, 269, 30171, 543, 570, 2784, 655, 1046, 8433, 269, 968, 14197, 6176, 19634, 940, 4793, 757, 1848, 8158, 5130, 476, 1321, 267, 630, 10674, 2517, 4178, 30994, 696, 334, 10993, 270, 6312, 757, 270, 637, 1545, 270, 2102, 1968, 318, 16769, 318, 935, 1356, 940, 318, 6312, 757, 12459, 338, 874, 1777, 335, 2517, 4178, 30994, 696, 334, 10993, 270, 6312, 757, 270, 637, 1545, 270, 2102, 1968, 318, 16769, 318, 935, 1356, 940, 318, 6312, 757, 12459, 4944, 1916, 7079, 632, 5213, 330, 267, 654, 1421, 645, 6185, 269, 20509, 518, 267, 623, 14371, 269, 29337, 267, 543, 667, 269, 681, 1276, 339, 267, 32308, 269, 15536, 2889, 11687, 281, 1715, 9012, 267, 22893, 267, 543, 4317, 28073, 269, 1715, 3840, 281, 30296, 563, 17504, 6894, 267, 715, 6155, 1421, 968, 1692, 6496, 5616, 5269, 4706, 14559, 281, 634, 476, 736, 4107, 5890, 2400, 27511, 538, 5616, 1520, 24552, 6100, 8158, 4989, 476, 1691, 267, 630, 10674, 2517, 4178, 269, 5320, 6894, 2593, 270, 14895, 270, 2865, 7721, 335, 2400, 268, 4486, 6919, 1916, 310, 7364, 267, 2073, 968, 5938, 7697, 538, 4516, 892, 8158, 4989, 476, 6021, 267, 630, 10674, 2517, 523, 25769, 3820, 28293, 270, 5938, 7697, 18425, 318, 28657, 994, 13328, 5948, 540, 1715, 4944, 3639, 269, 968, 6124, 4944, 3639, 281, 589, 16684, 3778, 1848, 8158, 5130, 476, 1321, 267, 630, 10674, 2517, 4178, 269, 9774, 1790, 816, 3820, 270, 14835, 21703, 274, 286, 573, 25606, 284, 1916, 289, 2077, 578, 267, 7812, 269, 968, 4692, 3624, 6513, 4317, 9012, 7169, 9495, 18917, 5240, 3624, 267, 5437, 476, 273, 269, 8158, 5130, 476, 1691, 267, 630, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 11320, 5454, 268, 14901, 1790, 6680, 1916, 13967, 10135, 303, 267, 8225, 9012, 24517, 1674, 3194, 5741, 267, 715, 6155, 1421, 8158, 4989, 476, 1428, 267, 630, 10674, 2517, 4178, 6983, 332, 13062, 335, 3820, 270, 994, 15253, 12578, 267, 645, 269, 968, 17471, 9012, 1848, 623, 335, 269, 538, 12389, 538, 519, 6176, 6520, 281, 589, 1715, 9012, 24153, 269, 5617, 23992, 281, 654, 611, 29536, 774, 1682, 517, 4804, 563, 293, 3072, 2006, 267, 7338, 269, 634, 2622, 1772, 25065, 281, 589, 16684, 3778, 540, 519, 26062, 268, 5575, 11416, 269, 1715, 3840, 281, 674, 1551, 541, 267, 18135, 639, 267, 543, 12852, 26919, 563, 3951, 308, 5240, 269, 968, 3951, 308, 17791, 1260, 2622, 7981, 7797, 281, 14484, 532, 1715, 20126, 543, 7464, 885, 1848, 5437, 269, 8158, 5130, 476, 1691, 267, 630, 10674, 2517, 4178, 269, 15856, 269, 842, 270, 6339, 270, 527, 684, 31974, 270, 1170, 1132, 2260, 6021, 270, 5684, 343, 1916, 13202, 267, 19257, 5633, 269, 968, 17471, 1436, 540, 9012, 281, 6206, 12983, 543, 17435, 5014, 1848, 3864, 4750, 540, 11660, 3194, 24121, 298, 520, 710, 20048, 2873, 18248, 269, 968, 6701, 16353, 1912, 2158, 4000, 779, 18234, 25522, 9495, 634, 26851, 267, 5130, 8158, 5130, 476, 1321, 267, 630, 10674, 2517, 4178, 3052, 340, 731, 1014, 16691, 16896, 31574, 520, 710, 31574, 520, 710, 7302, 1258, 2873, 1532, 8421, 286, 2457, 284, 277, 1916, 18250, 299, 340, 7315, 267, 21244, 269, 4197, 9012, 281, 634, 6987, 5014, 540, 2494, 269, 1715, 3840, 281, 17755, 3863, 6953, 650, 563, 6124, 4944, 3639, 4516, 267, 2073, 968, 302, 1233, 11429, 5608, 8158, 4989, 476, 1428, 267, 630, 10674, 2517, 4178, 6983, 332, 13062, 335, 3820, 270, 994, 303, 328, 3205, 267, 6424, 269, 968, 10831, 540, 5680, 20305, 538, 3624, 670, 1080, 28985, 1848, 11968, 13353, 8648, 267, 5130, 8158, 5130, 476, 1626, 267, 630, 10674, 2517, 26245, 1307, 4565, 9233, 7456, 520, 1307, 2593, 270, 974, 9592, 2260, 4905, 270, 577, 4042, 268, 19986, 268, 22852, 3766, 992, 2389, 558, 11669, 11258, 1916, 305, 578, 1873, 749, 267, 4460, 267, 2073, 968, 291, 1662, 534, 2228, 5608, 8158, 4989, 476, 1428, 267, 630, 10674, 2517, 323, 1662, 534, 2593, 270, 1263, 1501, 270, 994, 763, 22486, 987, 267, 667, 650, 534, 543, 7338, 267, 6833, 5270, 808, 1421, 2073, 968, 300, 4215, 13574, 11429, 543, 20593, 10885, 538, 4516, 5608, 769, 16684, 31334, 3143, 269, 661, 267, 7732, 540, 12057, 3194, 23549, 267, 12057, 540, 4516, 269, 8158, 4989, 476, 1428, 267, 630, 10674, 2517, 4178, 269, 1706, 331, 3052, 322, 28022, 270, 20880, 15828, 641, 22812, 14142, 21504, 725, 27160, 21867, 258, 320, 274, 994, 13328, 7813, 269, 968, 17471, 9483, 18370, 11072, 5303, 5262, 4288, 538, 519, 15043, 2622, 1848, 2622, 7813, 269, 8158, 5130, 476, 2190, 267, 630, 10674, 2517, 338, 924, 637, 1545, 9884, 5454, 23810, 3820, 270, 19860, 294, 7968, 270, 4910, 1545, 27798, 7968, 318, 913, 7272, 4206, 1916, 31628, 3749, 21126, 593, 9012, 543, 5303, 454, 289, 2858, 539, 267, 3933, 3821, 269, 968, 22512, 645, 8986, 5288, 269, 17992, 619, 281, 13834, 853, 699, 8040, 538, 22339, 1047, 906, 1848, 8158, 5130, 476, 1015, 267, 630, 10674, 2517, 4178, 4732, 1539, 1108, 3820, 8276, 4215, 24713, 625, 270, 3249, 1532, 8986, 8686, 338, 20675, 845, 619, 3766, 2658, 3613, 699, 8040, 2987, 14194, 3200, 1047, 906, 1916, 293, 537, 322, 5435, 267, 18466, 269, 2598, 23002, 543, 15722, 880, 281, 634, 17510, 540, 519, 29277, 269, 1715, 3840, 281, 966, 17448, 7734, 563, 293, 2135, 267, 20908, 572, 543, 22819, 3240, 645, 841, 21672, 269, 968, 29919, 5164, 326, 1231, 543, 966, 10102, 281, 634, 12186, 540, 22452, 547, 21058, 16992, 685, 20351, 1242, 2561, 30970, 543, 717, 10270, 538, 606, 8056, 619, 633, 14044, 5113, 1848, 11557, 32018, 24121, 294, 4461, 517, 267, 5261, 267, 6424, 595, 4710, 879, 267, 5261, 670, 1195, 5886, 267, 543, 31187, 590, 817, 517, 269, 968, 300, 4215, 16103, 543, 519, 4317, 14716, 540, 18712, 1848, 16316, 5623, 540, 24205, 24121, 294, 550, 850, 267, 19958, 267, 14811, 25669, 4569, 625, 517, 267, 543, 21208, 7288, 595, 4459, 269, 968, 300, 4215, 20222, 4889, 725, 609, 519, 4813, 543, 9577, 540, 20548, 1833, 1851, 16504, 3427, 5753, 1848, 4317, 4886, 24121, 298, 2246, 328, 664, 523, 267, 590, 1421, 700, 269, 25391, 643, 639, 2830, 320, 267, 570, 269, 700, 15586, 523, 267, 590, 269, 631, 269, 5164, 11927, 523, 267, 543, 589, 269, 681, 11069, 601, 7564, 269, 968, 8196, 540, 6176, 543, 9442, 5303, 543, 2776, 28700, 540, 3683, 7076, 543, 25667, 7324, 20390, 30105, 1848, 4139, 4750, 540, 25667, 24121, 298, 20482, 267, 10906, 267, 15536, 325, 655, 24452, 543, 5403, 19640, 25895, 5494, 6847, 267, 476, 2190, 628, 16316, 15154, 13834, 10985, 267, 17459, 6369, 4741, 585, 519, 5530, 540, 6468, 267, 5988, 476, 5881, 267, 8158, 4989, 476, 1240, 267, 2433, 630, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 290, 294, 345, 310, 279, 304, 278, 293, 14241, 275, 994, 298, 571, 515, 267, 22526, 267, 16016, 5090, 20703, 2401, 267, 700, 269, 670, 1132, 10458, 267, 12359, 2106, 320, 17340, 342, 559, 267, 30486, 1815, 21634, 828, 267, 543, 1323, 10937, 19161, 518, 269, 968, 5327, 31731, 1436, 547, 9012, 20222, 281, 25103, 2060, 13206, 3770, 9012, 20222, 22452, 267, 20548, 4809, 595, 1758, 1431, 267, 543, 20548, 4809, 10263, 1848, 4750, 540, 22226, 543, 4317, 10017, 24121, 299, 1794, 518, 26709, 267, 6754, 674, 269, 543, 7917, 918, 269, 631, 30639, 269, 968, 22709, 9442, 267, 15019, 570, 4292, 267, 543, 5029, 1242, 4317, 11059, 1848, 634, 9442, 540, 14313, 269, 1715, 3840, 281, 22489, 1299, 645, 4592, 563, 300, 1571, 267, 595, 269, 19159, 269, 1547, 634, 5295, 4432, 924, 269, 1715, 3840, 281, 10228, 2160, 4964, 563, 301, 1408, 11420, 310, 790, 269, 968, 301, 1408, 11420, 6480, 23660, 7089, 540, 772, 2529, 269, 27657, 23467, 547, 581, 28985, 1848, 2904, 476, 274, 269, 8158, 5130, 476, 1428, 267, 630, 10674, 2517, 24108, 8542, 1408, 11420, 2593, 14672, 1408, 11420, 342, 790, 8276, 4215, 318, 550, 1643, 618, 14672, 1408, 11420, 10140, 23660, 5991, 3784, 6361, 268, 340, 1606, 14482, 7697, 3620, 2345, 3562, 1532, 655, 11669, 270, 1916, 303, 15127, 267, 570, 612, 269, 968, 306, 15781, 693, 519, 7913, 4270, 281, 2349, 9233, 607, 15536, 325, 655, 21442, 26317, 540, 18650, 1848, 12339, 21442, 4813, 725, 24121, 306, 822, 720, 267, 11835, 22828, 269, 968, 9989, 7348, 532, 15329, 550, 9012, 26419, 20531, 22518, 20222, 888, 4537, 334, 655, 6033, 267, 31656, 11253, 543, 7033, 966, 1601, 269, 968, 300, 4215, 19835, 15209, 1848, 623, 335, 269, 476, 4037, 1700, 8660, 538, 1323, 21091, 13979, 547, 9442, 7869, 543, 3194, 267, 476, 273, 526, 1196, 1421, 12995, 676, 667, 269, 853, 2931, 543, 631, 269, 6428, 30591, 269, 1715, 3840, 281, 30296, 563, 29552, 289, 2073, 968, 29552, 17943, 267, 27657, 13163, 540, 4516, 267, 8158, 4989, 476, 1428, 267, 630, 10674, 2517, 4178, 6745, 341, 321, 28022, 270, 2457, 6958, 3796, 9706, 4206, 270, 14813, 334, 28495, 516, 20081, 309, 15368, 923, 15005, 994, 308, 2529, 269, 4972, 540, 25642, 269, 968, 18131, 538, 13241, 281, 589, 13834, 29361, 547, 16743, 1848, 4864, 269, 8158, 5988, 476, 2420, 267, 630, 5291, 2517, 4178, 269, 525, 320, 6155, 665, 10993, 4882, 2572, 270, 29239, 11721, 3796, 22812, 7964, 7933, 665, 3701, 11320, 1580, 514, 980, 698, 2194, 7765, 2617, 566, 23486, 270, 1916, 22069, 1903, 547, 8791, 13658, 454, 272, 269, 595, 1923, 476, 273, 269, 645, 1923, 476, 274, 269, 667, 1923, 476, 275, 269, 589, 1923, 476, 276, 269, 595, 1923, 476, 277, 269, 645, 1923, 476, 278, 269, 667, 1923, 476, 279, 269, 589, 1923, 476, 280, 269, 667, 1923, 589, 1923, 645, 1923, 589, 1923, 667, 1923, 645, 1923, 589, 1923, 667, 1923, 589, 1923, 645, 1923, 595, 1923, 589, 454, 8201, 18329, 3653, 676, 4354, 26385, 6022, 1067, 630, 10674, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 16978, 3055, 16062, 4292, 27970, 264, 1031, 896, 16671, 15760, 12689, 630, 10674, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 2260, 1372, 539, 269, 523, 994, 2791 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23219, 940, 281, 834, 11666, 826, 257, 13389, 6467, 568, 6697, 547, 834, 19874, 2668, 9894, 596, 1611, 547, 946, 834, 11666, 826, 476, 273, 22172, 538, 1315, 333, 12028, 11305, 6349, 10774, 6734, 8276, 660, 270, 4375, 272, 7871, 270, 3256, 1622, 11486, 1348, 21466, 2593, 270, 6255, 6447, 11320, 335, 9762, 550, 270, 680, 1872, 1231, 22812, 341, 16435, 3187, 30032, 11079, 270, 6016, 725, 269, 5035, 21703, 593, 1899, 476, 26493, 280, 692, 23219, 940, 281, 834, 11666, 826, 257, 13389, 6467, 568, 6697, 547, 834, 19874, 2668, 9894, 596, 1611, 547, 946, 834, 11666, 826, 476, 273, 22172, 538, 1315, 333, 12028, 11305, 6349, 10774, 6734, 8276, 660, 270, 4375, 272, 7871, 270, 3256, 1622, 11486, 1348, 21466, 2593, 270, 6255, 6447, 11320, 335, 9762, 550, 270, 680, 1872, 1231, 22812, 341, 16435, 3187, 30032, 11079, 270, 6016, 725, 269, 5035, 21703, 593, 1899, 476, 3393, 273, 278, 692, 23219, 940, 281, 834, 11666, 826, 257, 13389, 6467, 568, 6697, 547, 834, 19874, 2668, 9894, 596, 1611, 547, 946, 834, 11666, 826, 476, 273, 22172, 538, 1315, 333, 12028, 11305, 6349, 10774, 6734, 8276, 660, 270, 4375, 272, 7871, 270, 3256, 1622, 11486, 1348, 21466, 2593, 270, 6255, 6447, 11320, 335, 9762, 550, 270, 680, 1872, 1231, 22812, 341, 16435, 3187, 30032, 11079, 270, 16059, 269, 5035, 21703, 593, 1899, 476, 6321, 279, 280, 454, 842, 3174, 540, 2338, 538, 13004, 1923, 29968, 10369, 595, 12522, 692, 842, 3174, 540, 2338, 538, 13004, 692, 268, 280, 270, 2764, 1358, 616, 519, 1034, 1455, 2338, 1031, 538, 7893, 9424, 269, 1656, 519, 11224, 1129, 32372, 264, 568, 1031, 547, 1397, 7862, 267, 865, 649, 2328, 281, 1358, 1312, 2270, 4010, 519, 2818, 476, 272, 267, 476, 273, 543, 476, 274, 269, 910, 276, 270, 280, 269, 594, 6415, 2386, 596, 1223, 2097, 909, 609, 693, 2547, 513, 4627, 269, 594, 6415, 2386, 596, 1223, 2097, 909, 609, 693, 2547, 513, 4627, 269, 1772, 6695, 13320, 3189, 6912, 346, 278, 12453, 273, 6525, 7787, 610, 19450, 286, 3767, 2995, 803, 267, 616, 972, 1022, 824, 2338, 1063, 1079, 15654, 9981, 11631, 7464, 2338, 666, 581, 3989, 607, 519, 9769, 540, 1312, 519, 7787, 543, 19450, 2338, 269, 6480, 26305, 3217, 5578, 3267, 855, 875, 798, 596, 1205, 713, 5578, 286, 769, 519, 824, 2013, 594, 3773, 519, 7366, 1927, 543, 1287, 2799, 519, 1267, 676, 476, 1911, 267, 1924, 519, 1101, 1900, 568, 547, 1589, 834, 6011, 798, 594, 979, 827, 1818, 713, 7447, 286, 589, 1297, 1535, 7750, 539, 568, 2854, 1535, 274, 269, 769, 1249, 267, 7340, 596, 1256, 917, 1018, 513, 1297, 568, 269, 1809, 1586, 713, 3959, 1281, 711, 3180, 3020, 585, 12408, 543, 6498, 269, 6423, 849, 1924, 1018, 781, 865, 20868, 827, 519, 8900, 1305, 286, 3689, 649, 14574, 513, 1455, 3959, 1851, 834, 628, 902, 257, 630, 933, 5581, 713, 2262, 2663, 264, 543, 1287, 649, 5531, 909, 782, 519, 834, 628, 902, 257, 602, 723, 713, 1455, 3959, 269, 1548, 1297, 1058, 581, 3773, 547, 476, 274, 270, 279, 547, 1205, 910, 272, 270, 2190, 286, 769, 513, 1259, 596, 723, 1447, 982, 4642, 9489, 269, 6480, 11582, 630, 7072, 264, 6480, 11582, 568, 513, 31853, 585, 5020, 269, 898, 568, 513, 15410, 540, 3294, 256, 29435, 532, 513, 2875, 1297, 676, 1079, 589, 6305, 1297, 568, 606, 8870, 602, 814, 1100, 2188, 630, 18204, 619, 602, 17337, 513, 2016, 1297, 1510, 513, 14230, 264, 789, 616, 1031, 547, 6003, 3615, 538, 519, 1483, 1158, 269, 1358, 2268, 2450, 910, 875, 2462, 610, 1507, 513, 7274, 568, 269, 476, 278, 269, 1548, 568, 513, 1305, 286, 634, 2185, 1034, 1455, 1297, 1062, 2010, 616, 281, 27252, 1297, 1062, 630, 26015, 268, 476, 1015, 264, 23030, 1297, 1062, 630, 26015, 268, 476, 273, 264, 4239, 531, 1297, 1062, 630, 26015, 268, 279, 264, 1261, 343, 1228, 31565, 1297, 1062, 630, 26015, 268, 476, 1626, 264, 898, 1281, 723, 2188, 267, 543, 865, 568, 519, 6587, 540, 513, 6305, 1297, 269, 3502, 835, 269, 476, 1321, 269, 6904, 540, 519, 7787, 2338, 476, 275, 270, 280, 267, 910, 276, 270, 277, 267, 910, 278, 25773, 1321, 543, 476, 1556, 25773, 2190, 568, 519, 10545, 286, 1879, 649, 5581, 513, 1305, 267, 782, 649, 723, 547, 14574, 568, 513, 1455, 8984, 269, 4179, 2517, 4178, 21993, 7315, 659, 611, 5519, 3820, 270, 1862, 270, 341, 14672, 3784, 1606, 2448, 338, 10784, 3174, 1403, 513, 8918, 1297, 568, 6719, 676, 513, 3046, 267, 1287, 621, 568, 7787, 610, 19450, 286, 21929, 2338, 616, 519, 2338, 602, 666, 581, 6829, 538, 519, 1106, 540, 513, 5223, 630, 335, 270, 336, 284, 304, 282, 1141, 7117, 568, 711, 3160, 547, 476, 271, 3738, 663, 19450, 2338, 3112, 581, 6829, 607, 513, 6824, 269, 898, 568, 1271, 585, 596, 547, 581, 2111, 547, 7447, 875, 1082, 1919, 596, 666, 1294, 267, 610, 875, 1279, 1945, 568, 610, 875, 2462, 1945, 568, 269, 1358, 666, 581, 1312, 2318, 610, 2942, 543, 616, 20922, 676, 519, 3090, 968, 305, 6100, 1358, 666, 581, 21630, 607, 281, 634, 2040, 540, 1079, 7787, 2338, 568, 910, 278, 269, 589, 1085, 2056, 543, 27312, 1931, 540, 476, 275, 18251, 2338, 543, 7311, 1747, 1871, 1062, 585, 2338, 269, 1358, 616, 899, 519, 10203, 2338, 855, 666, 581, 2942, 269, 769, 6128, 972, 616, 1896, 2010, 540, 2338, 267, 855, 789, 2887, 883, 1079, 1292, 5049, 267, 519, 10203, 2338, 267, 543, 9470, 1513, 269, 769, 2489, 267, 782, 519, 12980, 4238, 666, 581, 5340, 593, 891, 2338, 543, 789, 666, 581, 6719, 538, 519, 1297, 1899, 267, 849, 269, 634, 1587, 540, 1079, 2338, 568, 910, 736, 270, 280, 269, 5590, 540, 1256, 2338, 281, 2715, 24222, 12882, 382, 486, 382, 496, 275, 267, 12882, 382, 486, 382, 496, 273, 267, 476, 271, 267, 476, 273, 267, 476, 275, 267, 3267, 9574, 1656, 538, 1950, 2079, 267, 596, 31665, 621, 267, 519, 8471, 1305, 568, 519, 269, 17848, 678, 323, 281, 634, 3597, 540, 1535, 568, 513, 1297, 602, 950, 16611, 676, 3294, 513, 1297, 540, 2053, 786, 1267, 538, 1535, 269, 744, 334, 3591, 256, 6423, 13216, 1297, 4214, 269, 901, 3085, 1405, 3100, 1360, 1697, 267, 1281, 621, 286, 4559, 269, 11408, 798, 513, 2656, 16759, 540, 875, 1454, 596, 1058, 2628, 281, 834, 325, 633, 693, 1269, 272, 269, 4817, 1142, 568, 827, 476, 276, 2053, 476, 273, 267, 610, 827, 259, 1015, 2668, 476, 279, 269, 589, 12432, 1297, 568, 835, 602, 568, 711, 6305, 269, 1358, 666, 581, 2219, 540, 607, 513, 7963, 610, 17211, 269, 476, 278, 25773, 1240, 5231, 2073, 476, 276, 269, 476, 272, 269, 910, 1839, 270, 3374, 543, 476, 4649, 25773, 6507, 476, 1109, 267, 476, 1015, 269, 898, 568, 942, 547, 1451, 25513, 1210, 1862, 3371, 779, 875, 596, 666, 1265, 519, 4009, 3597, 540, 513, 1297, 609, 519, 948, 540, 1806, 269, 1358, 1312, 2270, 476, 273, 269, 1924, 649, 1500, 930, 6480, 11582, 10632, 585, 596, 547, 2259, 609, 256, 1452, 616, 1572, 8454, 269, 589, 1804, 2318, 1297, 568, 3677, 982, 513, 4130, 835, 267, 585, 1383, 1341, 1321, 568, 3677, 982, 1341, 273, 269, 7151, 281, 476, 272, 270, 273, 910, 272, 270, 274, 284, 272, 270, 277, 18564, 602, 950, 589, 568, 513, 1697, 15410, 540, 645, 1287, 621, 568, 849, 513, 15410, 540, 645, 269, 476, 1015, 628, 5181, 476, 1708, 271, 269, 634, 1412, 302, 9536, 14633, 13050, 262, 568, 513, 1523, 602, 31591, 1453, 779, 3206, 2702, 1472, 513, 1978, 1858, 610, 1862, 10789, 3322, 519, 2241, 5106, 540, 6128, 899, 1840, 267, 12408, 267, 8691, 28011, 18527, 7305, 15873, 2433, 31418, 5006, 10158, 547, 6258, 269, 901, 568, 1634, 607, 513, 1305, 269, 1284, 3274, 1592, 1142, 3693, 630, 528, 834, 332, 1897, 8442, 9674, 676, 513, 26893, 267, 543, 1287, 2322, 930, 1225, 569, 23049, 1472, 519, 2898, 3364, 281, 634, 1225, 569, 23049, 2715, 7684, 616, 3006, 1572, 834, 3553, 23049, 257, 610, 834, 3630, 806, 2668, 5161, 540, 1079, 2694, 281, 513, 11664, 543, 606, 20800, 630, 12741, 540, 4557, 1040, 21929, 2338, 616, 513, 1305, 540, 9981, 267, 8454, 543, 8918, 2338, 267, 799, 666, 581, 6719, 607, 8454, 538, 519, 1106, 540, 533, 270, 336, 1141, 533, 543, 7117, 616, 9981, 543, 7117, 568, 711, 3160, 547, 476, 271, 269, 31353, 547, 17773, 547, 20587, 1137, 910, 634, 20556, 9737, 23067, 269, 3143, 267, 711, 519, 1931, 540, 519, 2609, 269, 7151, 281, 20734, 279, 284, 273, 269, 279, 2764, 275, 2767, 1321, 16634, 901, 5816, 9388, 609, 6389, 543, 2039, 540, 513, 29236, 269, 5700, 519, 834, 1432, 267, 7316, 543, 1215, 257, 540, 2876, 9999, 269, 476, 272, 568, 538, 589, 267, 543, 476, 272, 568, 538, 645, 607, 1134, 269, 2480, 531, 541, 4214, 269, 910, 1724, 270, 2568, 5231, 2073, 476, 277, 269, 1280, 811, 1294, 7464, 1297, 4214, 269, 744, 9536, 569, 2614, 267, 649, 666, 2161, 609, 5036, 602, 930, 31208, 885, 616, 3677, 982, 1866, 267, 855, 713, 568, 513, 811, 4359, 1888, 538, 5036, 269, 901, 5816, 786, 948, 721, 1174, 519, 2010, 540, 1239, 7829, 543, 9819, 540, 1611, 267, 11667, 267, 7154, 1862, 7454, 10158, 547, 2422, 606, 2806, 659, 639, 585, 9978, 4569, 15051, 269, 6201, 540, 19450, 2338, 616, 20734, 273, 267, 20734, 274, 267, 14039, 263, 11027, 1070, 3092, 269, 634, 1297, 540, 2053, 568, 519, 4110, 540, 519, 3597, 269, 1306, 596, 3802, 1472, 543, 2661, 707, 1272, 267, 4952, 952, 596, 1223, 3362, 7447, 281, 4746, 267, 621, 1131, 581, 1390, 952, 596, 1223, 3533, 7058, 875, 1082, 1004, 616, 538, 513, 4055, 267, 875, 1082, 6517, 538, 519, 8265, 267, 875, 1082, 10833, 593, 519, 15808, 267, 610, 1256, 875, 1082, 694, 698, 1638, 338, 593, 519, 11824, 269, 634, 4015, 540, 2338, 568, 849, 1572, 513, 1297, 1062, 269, 21929, 2338, 616, 20922, 676, 1627, 267, 1775, 4318, 1421, 1627, 284, 335, 270, 336, 269, 9524, 18827, 543, 25513, 476, 1015, 2053, 5488, 269, 1280, 811, 593, 713, 1294, 20134, 1297, 4214, 269, 1677, 13306, 513, 1297, 568, 547, 9062, 621, 676, 3294, 1614, 2053, 269, 19940, 2338, 543, 2942, 2338, 899, 910, 272, 16427, 273, 16427, 274, 16427, 275, 2507, 907, 616, 1572, 9981, 269, 5502, 540, 2979, 609, 2338, 267, 649, 786, 1631, 1589, 827, 2979, 609, 834, 628, 902, 2668, 7756, 5573, 2338, 607, 1256, 543, 9642, 543, 849, 5635, 2338, 609, 1114, 2418, 543, 8108, 6574, 543, 10545, 2338, 15399, 334, 476, 275, 1673, 580, 1080, 269, 476, 1015, 269, 634, 8900, 1305, 568, 513, 15410, 540, 1169, 1305, 267, 1519, 519, 8900, 1305, 3294, 269, 898, 568, 3274, 513, 5569, 540, 9704, 602, 14439, 835, 1880, 2875, 269, 1924, 621, 568, 6806, 896, 1840, 267, 519, 1482, 1259, 585, 824, 4238, 849, 621, 3788, 6806, 269, 6904, 540, 519, 7787, 2338, 910, 275, 270, 280, 267, 476, 276, 25773, 1321, 267, 476, 278, 25773, 1240, 267, 476, 273, 25773, 274, 568, 519, 6574, 286, 13216, 2338, 723, 1079, 3334, 1572, 519, 1483, 543, 16494, 2694, 269, 476, 271, 269, 276, 666, 581, 2854, 607, 476, 16006, 267, 476, 276, 270, 1015, 610, 476, 1015, 270, 736, 543, 538, 519, 1106, 540, 782, 2165, 3215, 17447, 269, 6258, 875, 547, 798, 8691, 609, 519, 948, 540, 713, 2376, 269, 6969, 4098, 609, 519, 1888, 267, 1577, 779, 11453, 909, 609, 1018, 649, 19927, 538, 519, 3105, 3584, 269, 7151, 281, 476, 274, 270, 273, 568, 513, 7787, 1297, 269, 6423, 1290, 22683, 1297, 4214, 269, 1280, 1383, 281, 272, 270, 273, 266, 272, 270, 274, 284, 276, 270, 277, 282, 5231, 610, 476, 272, 270, 274, 266, 272, 270, 273, 284, 276, 270, 277, 282, 20518, 5737, 3959, 2829, 602, 585, 1022, 1614, 9981, 476, 1109, 343, 267, 586, 543, 1990, 649, 723, 6258, 966, 14037, 4569, 570, 9581, 585, 4028, 9273, 269, 476, 272, 270, 273, 270, 272, 270, 274, 284, 274, 270, 273, 269, 2107, 649, 666, 2161, 602, 589, 568, 711, 513, 15410, 540, 645, 676, 589, 645, 9497, 288, 568, 711, 513, 15410, 540, 645, 20257, 1280, 1383, 267, 2016, 2338, 616, 476, 276, 267, 910, 277, 543, 476, 273, 270, 274, 282, 476, 1109, 263, 476, 276, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 356, 7430, 491, 11210, 489, 692, 5035, 4793, 1503, 10111, 263, 10111, 2567, 1948, 11210, 363, 12530, 358, 11210, 373, 28374, 419, 370, 503, 19867, 379, 454, 825, 1219, 521, 790, 333, 4311, 2187, 1038, 1820, 2891, 12530, 498, 12530, 376, 12530, 507, 12530, 376, 12530, 498, 12530, 376, 12530, 507, 12530, 376, 15419, 5035, 22427, 1188, 10111, 263, 10111, 2567, 1948, 11210, 363, 12530, 358, 11210, 373, 28374, 419, 370, 503, 19867, 379, 454, 825, 1219, 4163, 4311, 2187, 1038, 1820, 2891, 420, 491, 371, 29830, 358, 11210, 496, 421, 479, 489, 7430, 367, 7430, 378, 7430, 503, 5602, 0, 5035, 3678, 1092, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 20017, 6511, 2187, 1038, 1582, 6983, 611, 6511, 815, 20017, 6511, 692, 825, 1219, 7903, 6658, 4311, 2187, 1038, 1582, 6983, 611, 6511, 6910, 3488, 5073, 1038, 1948, 1609, 5964, 815, 1412, 328, 7055, 1038, 7796, 320, 815, 11713, 1038, 1948, 1609, 5964, 815, 1412, 335, 7055, 1038, 7796, 320, 6910, 3488, 258, 5073, 1038, 7796, 320, 6910, 3488, 292, 5073, 1038, 1948, 1609, 5964, 815, 1412, 336, 7055, 1038, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 1038, 1247, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 11203, 1412, 258, 12466, 2018, 952, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 2652, 1412, 292, 12466, 3546, 952, 524, 2652, 1412, 264, 12466, 7386, 7796, 320, 21014, 4590, 3546, 3116, 912, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 292, 32075, 5073, 7386, 7796, 320, 6910, 3488, 307, 5073, 2018, 8640, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 2652, 1412, 292, 315, 5257, 912, 3546, 952, 524, 2652, 1412, 266, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 292, 32075, 5073, 7386, 7796, 320, 6910, 3488, 307, 5073, 7386, 7796, 320, 6910, 3488, 266, 5073, 3546, 8640, 524, 2652, 21029, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 292, 32075, 5073, 7386, 7796, 320, 6910, 3488, 307, 5073, 7386, 7796, 320, 6910, 3488, 268, 5073, 3546, 3116, 912, 7386, 7796, 320, 21014, 4590, 2018, 8640, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 2652, 1412, 307, 12466, 3546, 7796, 320, 21014, 4590, 3546, 7796, 320, 6910, 3488, 307, 32075, 5073, 3546, 7796, 320, 6910, 3488, 293, 5073, 2018, 8640, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 2652, 1412, 307, 315, 5257, 912, 3546, 952, 524, 2652, 24003, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 307, 32075, 5073, 7386, 7796, 320, 6910, 3488, 293, 5073, 7386, 7796, 320, 6910, 3488, 265, 5073, 3546, 8640, 524, 2652, 23367, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 307, 32075, 5073, 7386, 7796, 320, 6910, 3488, 293, 5073, 7386, 7796, 320, 6910, 3488, 270, 5073, 3546, 3116, 912, 7386, 7796, 320, 21014, 4590, 2018, 8640, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 2652, 1412, 293, 12466, 3546, 952, 524, 2652, 1412, 3488, 912, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 264, 5073, 7386, 7796, 320, 6910, 3488, 292, 5073, 7386, 7796, 320, 6910, 3488, 3488, 994, 3546, 8640, 524, 2652, 1412, 7728, 2207, 302, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 7728, 2207, 302, 5073, 3546, 8640, 524, 2652, 1412, 291, 4488, 8379, 3201, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 291, 4488, 8379, 3201, 5073, 3546, 8640, 524, 2652, 1412, 2839, 28718, 293, 2975, 4696, 3036, 12466, 7386, 7796, 320, 21014, 4590, 7386, 7796, 320, 6910, 3488, 2839, 28718, 293, 2975, 4696, 3036, 5073, 3546, 3116, 912, 7386, 2132, 8771, 454, 2018, 8640, 7796, 320, 314, 6352, 9638, 10042, 264, 910, 476, 272, 316, 2652, 524, 912, 3546, 952, 524, 2652, 1412, 3488, 912, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 1412, 264, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 1412, 266, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 21029, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 24003, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 23367, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 1412, 7728, 2207, 302, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 1412, 291, 4488, 8379, 3201, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 8640, 524, 2652, 1412, 2839, 28718, 293, 2975, 4696, 3036, 12466, 7386, 7796, 320, 21014, 4590, 7386, 524, 815, 1582, 6983, 611, 6511, 21014, 263, 271, 994, 3546, 3116, 912, 7386, 2132, 8771, 454, 2018, 3116, 912, 3546, 2132, 8771, 692, 1038, 7796, 320, 21014, 4590, 1038, 952, 7003, 9638, 10042, 264, 2652, 476, 271, 543, 524, 2652, 1412, 12466, 2018, 1948, 1609, 5964, 815, 535, 454, 2018, 2132, 6936, 454, 1038, 2132, 8771, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8320, 540, 4303, 547, 3349, 454, 825, 31914, 599, 815, 4303, 28442, 6889, 306, 1495, 599, 2580, 4994, 284, 272, 267, 2063, 318, 5035, 22710, 284, 1652, 517, 318, 274, 994, 825, 512, 11698, 815, 4303, 28442, 6889, 307, 11698, 2580, 4994, 284, 273, 267, 2063, 318, 5035, 22710, 284, 1652, 517, 318, 274, 994, 825, 555, 11787, 815, 4303, 28442, 6889, 32637, 2580, 4994, 284, 274, 267, 2063, 318, 5035, 22710, 284, 1652, 517, 318, 274, 994, 825, 2395, 815, 1496, 338, 1495, 599, 267, 512, 11698, 267, 555, 11787, 2639, 825, 24563, 4732, 11970, 14491, 318, 718, 5560, 904, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 1520, 1091, 8320, 540, 16811, 547, 3349, 454, 825, 2834, 815, 16811, 263, 28669, 619, 9078, 629, 25716, 267, 6323, 9078, 629, 25716, 267, 7998, 9078, 629, 25716, 267, 7350, 9078, 629, 25716, 994, 825, 5904, 9078, 629, 815, 16811, 263, 28669, 619, 9078, 629, 18989, 267, 6323, 9078, 629, 25716, 267, 7998, 9078, 629, 25716, 267, 7350, 9078, 629, 25716, 994, 825, 6323, 9078, 629, 815, 16811, 263, 28669, 619, 9078, 629, 25716, 267, 6323, 9078, 629, 18989, 267, 7998, 9078, 629, 25716, 267, 7350, 9078, 629, 25716, 994, 825, 16491, 906, 815, 1496, 10585, 267, 5904, 9078, 629, 267, 6323, 9078, 629, 2639, 825, 24563, 4732, 11970, 14491, 318, 718, 263, 3225, 760, 906, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 17006, 8320, 540, 15858, 547, 3349, 454, 825, 4055, 318, 272, 815, 15858, 28442, 6889, 305, 7112, 476, 272, 2580, 1003, 26000, 1846, 284, 2412, 267, 3937, 284, 10585, 994, 825, 4055, 318, 273, 815, 15858, 28442, 6889, 305, 7112, 476, 273, 2580, 1003, 26000, 1846, 284, 3374, 267, 3937, 284, 28669, 619, 9078, 629, 994, 825, 4055, 318, 274, 815, 15858, 28442, 6889, 305, 7112, 476, 274, 2580, 1003, 26000, 1846, 284, 4391, 267, 3937, 284, 874, 12695, 9078, 629, 994, 825, 11623, 815, 1496, 3336, 318, 272, 267, 4055, 318, 273, 267, 4055, 318, 274, 2639, 825, 24563, 4732, 11970, 14491, 318, 718, 263, 7741, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 17006, 8320, 540, 13595, 547, 3349, 454, 825, 6880, 815, 13595, 28442, 6889, 24426, 828, 2580, 1377, 284, 1015, 994, 825, 6323, 815, 13595, 28442, 6889, 30125, 2580, 1377, 284, 276, 994, 825, 524, 643, 923, 815, 13595, 28442, 6889, 290, 643, 923, 2580, 1377, 284, 273, 994, 825, 2780, 5334, 7220, 815, 13595, 28442, 6889, 20663, 476, 3163, 2580, 1377, 284, 276, 994, 825, 1686, 815, 13595, 28442, 6889, 14532, 2580, 1377, 284, 273, 994, 825, 5396, 815, 1496, 1097, 828, 267, 6323, 267, 524, 643, 923, 267, 2780, 5334, 7220, 267, 1686, 2639, 825, 24563, 4732, 11970, 14491, 318, 718, 4433, 889, 915, 338, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 17006, 8320, 540, 11819, 547, 3349, 563, 825, 562, 597, 815, 11819, 28442, 6889, 301, 597, 5602, 825, 1714, 328, 815, 11819, 28442, 6889, 292, 2993, 5602, 825, 522, 1066, 815, 11819, 28442, 6889, 302, 1066, 5602, 825, 552, 2106, 520, 815, 11819, 28442, 6889, 292, 2106, 520, 5602, 825, 3610, 815, 1496, 333, 597, 267, 1714, 328, 267, 522, 1066, 267, 552, 2106, 520, 2639, 825, 24563, 4732, 11970, 14491, 318, 718, 263, 974, 18291, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 17006, 8320, 540, 4841, 27026, 547, 3349, 454, 825, 1053, 318, 274, 815, 4841, 27026, 28442, 6889, 312, 644, 5975, 476, 274, 2580, 1003, 318, 29324, 284, 3374, 994, 825, 1053, 318, 275, 815, 4841, 27026, 28442, 6889, 312, 644, 5975, 476, 275, 2580, 1003, 318, 29324, 284, 1839, 994, 825, 1053, 14682, 12952, 815, 1496, 29324, 318, 274, 267, 1053, 318, 275, 2639, 825, 24563, 4732, 11970, 14491, 318, 718, 263, 29324, 14682, 12952, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 25103, 1063, 5396, 543, 3610, 267, 5396, 543, 1053, 2516, 630, 611, 1091, 5396, 547, 519, 3610, 17320, 12952, 1916, 825, 562, 597, 16553, 915, 338, 6910, 263, 1097, 828, 994, 825, 562, 597, 16553, 915, 338, 6910, 263, 26367, 5334, 7220, 994, 825, 1714, 328, 16553, 915, 338, 6910, 263, 1097, 828, 994, 825, 522, 1066, 16553, 915, 338, 6910, 263, 874, 12695, 994, 825, 552, 2106, 520, 16553, 915, 338, 6910, 6262, 643, 923, 994, 825, 552, 2106, 520, 16553, 915, 338, 6910, 263, 20931, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1053, 318, 274, 16553, 915, 338, 6910, 263, 1097, 828, 994, 825, 1053, 318, 274, 16553, 915, 338, 6910, 263, 874, 12695, 994, 825, 1053, 318, 274, 16553, 915, 338, 6910, 6262, 643, 923, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1053, 318, 275, 16553, 915, 338, 6910, 263, 1097, 828, 994, 825, 1053, 318, 275, 16553, 915, 338, 6910, 263, 874, 12695, 994, 825, 1053, 318, 275, 16553, 915, 338, 6910, 6262, 643, 923, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 5410, 8320, 540, 6092, 12218, 547, 3349, 267, 543, 6402, 873, 547, 1053, 2516, 630, 611, 1091, 2516, 547, 519, 5049, 994, 825, 1948, 769, 2290, 268, 2414, 5336, 1415, 543, 2290, 268, 2414, 268, 3080, 3347, 267, 519, 4020, 528, 11392, 519, 2418, 630, 16269, 1810, 1405, 991, 547, 581, 3773, 547, 930, 1592, 1310, 519, 3236, 814, 1044, 2813, 6393, 825, 6092, 12218, 525, 815, 29129, 825, 1948, 595, 643, 923, 585, 1053, 318, 274, 454, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 322, 643, 923, 267, 4116, 284, 324, 2106, 520, 267, 3937, 318, 7528, 1600, 284, 10585, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 322, 643, 923, 267, 4116, 284, 324, 2106, 520, 267, 3937, 318, 7528, 1600, 284, 10585, 4917, 825, 6092, 12218, 525, 314, 271, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 6092, 12218, 525, 314, 272, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 595, 643, 923, 585, 1053, 318, 275, 454, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 322, 643, 923, 267, 4116, 284, 324, 2106, 520, 267, 3937, 318, 7528, 1600, 284, 10585, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 322, 643, 923, 267, 4116, 284, 324, 2106, 520, 267, 3937, 318, 7528, 1600, 284, 10585, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 322, 643, 923, 267, 4116, 284, 324, 2106, 520, 267, 3937, 318, 7528, 1600, 284, 10585, 4917, 825, 6092, 12218, 525, 314, 273, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 6092, 12218, 525, 314, 274, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 6092, 12218, 525, 314, 275, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 15536, 585, 1053, 318, 274, 454, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 333, 597, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 333, 597, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 333, 597, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 314, 276, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 6092, 12218, 525, 314, 277, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 6092, 12218, 525, 314, 278, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 24563, 4732, 11970, 2593, 2466, 30800, 825, 1948, 15536, 585, 1053, 318, 275, 454, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 7942, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 7942, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 7942, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 1097, 828, 267, 4116, 284, 7942, 267, 3937, 318, 7528, 1600, 284, 28669, 619, 9078, 629, 4917, 825, 6092, 12218, 525, 314, 279, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 6092, 12218, 525, 314, 280, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 6092, 12218, 525, 314, 1015, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 6092, 12218, 525, 314, 1556, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 8212, 585, 1053, 318, 274, 454, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 874, 12695, 267, 4116, 284, 648, 333, 267, 3937, 318, 7528, 1600, 284, 874, 12695, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 874, 12695, 267, 4116, 284, 648, 333, 267, 3937, 318, 7528, 1600, 284, 874, 12695, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 874, 12695, 267, 4116, 284, 648, 333, 267, 3937, 318, 7528, 1600, 284, 874, 12695, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 874, 12695, 267, 4116, 284, 648, 333, 267, 3937, 318, 7528, 1600, 284, 874, 12695, 9078, 629, 4917, 825, 6092, 12218, 525, 314, 1321, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 6092, 12218, 525, 314, 1724, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 6092, 12218, 525, 314, 1691, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 6092, 12218, 525, 314, 1428, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 274, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 1948, 8212, 585, 1053, 318, 275, 454, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 874, 12695, 267, 4116, 284, 648, 333, 267, 3937, 318, 7528, 1600, 284, 874, 12695, 9078, 629, 4917, 825, 6092, 12218, 525, 6910, 263, 17345, 12218, 4433, 889, 915, 284, 874, 12695, 267, 4116, 284, 648, 333, 267, 3937, 318, 7528, 1600, 284, 874, 12695, 9078, 629, 4917, 825, 6092, 12218, 525, 314, 1626, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 6092, 12218, 525, 314, 1704, 4940, 29324, 14682, 12952, 6910, 263, 29324, 318, 275, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 825, 24563, 4732, 11970, 14491, 318, 718, 263, 17345, 12218, 525, 994, 825, 24563, 4732, 11970, 2593, 2466, 10797, 0, 258, 17130, 476, 272, 269, 272, 454, 258, 3503, 513, 5124, 1982, 547, 5173, 519, 3259, 540, 513, 5569, 1510, 1210, 519, 2387, 6352, 319, 1599, 780, 3698, 4305, 318, 272, 318, 272, 3799, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 9041, 538, 1193, 3799, 2187, 1038, 1293, 6834, 476, 272, 454, 825, 1820, 2891, 21920, 540, 513, 5569, 281, 14307, 1293, 9239, 258, 17130, 476, 272, 269, 273, 454, 258, 3503, 513, 5124, 1982, 547, 1293, 519, 1297, 540, 3197, 630, 30726, 4908, 264, 538, 513, 5569, 630, 793, 648, 2013, 540, 5022, 6393, 3698, 4305, 318, 272, 318, 273, 30415, 2187, 825, 8675, 815, 2715, 10926, 825, 585, 562, 538, 1193, 30415, 2187, 1038, 10569, 815, 8675, 269, 12399, 4590, 1038, 952, 562, 538, 10569, 912, 2018, 8675, 19559, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 8675, 19559, 316, 815, 476, 272, 454, 825, 1820, 5560, 5315, 9239, 258, 17130, 476, 272, 269, 274, 454, 258, 3503, 513, 5124, 1982, 602, 24693, 513, 26893, 9674, 5311, 540, 1913, 607, 3403, 543, 16493, 519, 2189, 1315, 454, 258, 1913, 538, 15044, 1106, 780, 3698, 4305, 318, 272, 318, 274, 28949, 16911, 2187, 825, 1820, 4433, 9285, 263, 3553, 28949, 16911, 4297, 9239, 258, 17130, 476, 272, 269, 274, 454, 258, 8073, 513, 1982, 602, 12134, 519, 3593, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 15438, 540, 2398, 17892, 267, 16862, 267, 28554, 7559, 543, 654, 14660, 1777, 1897, 326, 543, 1082, 4436, 2379, 806, 1519, 519, 5082, 528, 540, 31928, 572, 267, 519, 9835, 16099, 540, 14068, 523, 543, 519, 546, 4157, 525, 540, 29017, 324, 268, 2171, 31483, 267, 19839, 1873, 1157, 543, 29154, 4026, 267, 13984, 538, 1268, 563, 1607, 2680, 3085, 1405, 2731, 1489, 519, 16672, 540, 519, 7126, 540, 2494, 543, 18299, 523, 1317, 621, 3322, 7168, 1454, 519, 3003, 1158, 711, 519, 5333, 269, 634, 16672, 540, 519, 7126, 540, 2494, 540, 18299, 523, 729, 6140, 5059, 593, 5333, 563, 289, 4490, 540, 4826, 31846, 268, 4873, 476, 1240, 267, 8687, 276, 281, 634, 6370, 3769, 3703, 267, 16586, 267, 5617, 326, 2103, 267, 10656, 543, 2398, 1380, 2103, 1996, 519, 3943, 9835, 324, 14022, 19902, 602, 3576, 1747, 538, 519, 3162, 540, 29761, 538, 19934, 269, 634, 2489, 2054, 673, 1544, 540, 519, 20466, 22687, 22509, 1177, 547, 13404, 519, 1034, 2009, 540, 741, 20679, 1354, 3478, 7722, 538, 519, 3984, 1988, 543, 1287, 8399, 547, 28117, 5333, 269, 634, 23602, 941, 519, 3703, 267, 16586, 267, 5617, 326, 2103, 267, 10656, 543, 2398, 1380, 2103, 563, 1607, 2680, 7028, 519, 16672, 540, 519, 7126, 540, 2494, 543, 18299, 523, 1317, 19167, 799, 729, 835, 540, 519, 1252, 1023, 267, 1185, 4465, 519, 6370, 269, 0, 1607, 3758, 2882, 513, 16212, 24577, 267, 17948, 6881, 267, 2789, 12043, 540, 4967, 630, 10233, 267, 1178, 903, 7051, 267, 543, 20258, 1070, 1079, 3211, 547, 946, 607, 2259, 1310, 519, 3992, 610, 585, 6780, 267, 543, 519, 2626, 1883, 585, 519, 3211, 269, 634, 16212, 24577, 814, 476, 1321, 3817, 602, 2491, 606, 4367, 547, 12753, 543, 3160, 12753, 269, 1703, 616, 1806, 543, 7317, 2920, 643, 4580, 2609, 593, 519, 16212, 24577, 269, 634, 17948, 1281, 711, 723, 1346, 7317, 2609, 269, 634, 2681, 543, 1178, 903, 7051, 4967, 2270, 476, 275, 16212, 24577, 3817, 829, 476, 279, 269, 276, 343, 1556, 585, 513, 2698, 540, 476, 274, 3817, 540, 4967, 269, 634, 20258, 4967, 616, 476, 274, 3817, 849, 543, 1246, 2059, 609, 519, 16212, 24577, 269, 634, 4976, 568, 513, 476, 273, 2985, 3561, 602, 3568, 2259, 2042, 585, 519, 1983, 6026, 538, 519, 16212, 24577, 607, 1134, 607, 1966, 6061, 2262, 2042, 269, 1403, 596, 1131, 899, 547, 1294, 513, 3732, 267, 596, 666, 4647, 519, 4976, 543, 1178, 903, 7051, 4967, 585, 17676, 538, 1250, 4558, 269, 1403, 596, 723, 1022, 2055, 267, 5225, 4757, 803, 256, 0, 763, 1966, 585, 519, 11617, 15176, 568, 711, 547, 960, 856, 1018, 2029, 666, 2965, 798, 585, 873, 855, 547, 1118, 2386, 602, 1018, 621, 1281, 568, 2966, 609, 741, 2115, 538, 2247, 269, 769, 519, 2250, 267, 7835, 723, 2451, 14540, 543, 3549, 10010, 547, 1832, 909, 1317, 519, 2115, 540, 519, 11617, 15176, 941, 711, 18481, 2808, 269, 1306, 6754, 2037, 11594, 267, 681, 25712, 289, 781, 8689, 1767, 267, 834, 2171, 1590, 1631, 1118, 2386, 649, 1205, 593, 519, 6512, 342, 6782, 543, 3251, 593, 621, 4799, 763, 4417, 540, 8837, 1949, 585, 5904, 267, 609, 741, 21370, 13819, 267, 814, 15054, 10373, 10333, 2042, 585, 519, 11617, 27780, 8529, 3593, 269, 3767, 267, 2705, 267, 1896, 4633, 543, 4858, 4068, 5496, 3988, 2291, 585, 8837, 267, 799, 4766, 1018, 568, 593, 519, 5496, 610, 14377, 519, 1257, 538, 547, 4858, 4068, 267, 543, 1082, 941, 593, 1397, 693, 17496, 1412, 4817, 563, 4322, 1331, 4934, 4944, 7505, 630, 14588, 3663, 1152, 264, 543, 6489, 1824, 630, 24154, 4068, 1152, 264, 1312, 689, 1325, 874, 822, 1707, 267, 543, 5019, 1779, 630, 14588, 3663, 543, 4858, 4068, 264, 689, 12333, 17496, 7896, 269, 10765, 1977, 9086, 1631, 3340, 3301, 543, 1949, 7426, 547, 13918, 519, 2115, 540, 519, 16981, 267, 799, 1797, 602, 9786, 781, 1279, 268, 11867, 1243, 8837, 476, 4817, 1813, 538, 4864, 1058, 1685, 1732, 609, 5496, 3988, 563, 1607, 1131, 581, 540, 11999, 4324, 267, 585, 519, 1249, 568, 602, 1344, 799, 5526, 593, 513, 2780, 5496, 666, 538, 3069, 581, 811, 3362, 15600, 998, 513, 4858, 4068, 267, 1804, 268, 2745, 17002, 610, 4633, 982, 689, 2835, 269, 634, 5769, 1223, 849, 1930, 909, 513, 2898, 1158, 540, 1344, 547, 519, 11617, 15176, 543, 519, 681, 25712, 289, 568, 4867, 25211, 532, 14540, 547, 2322, 1344, 593, 547, 519, 5769, 799, 568, 3730, 585, 873, 563, 9827, 693, 519, 14266, 941, 1082, 2200, 799, 267, 4352, 1447, 1164, 24289, 543, 2518, 982, 519, 5769, 543, 8837, 267, 2709, 1454, 547, 11617, 27780, 8529, 10453, 538, 3506, 563, 300, 1725, 13294, 540, 782, 12204, 941, 593, 4159, 267, 2241, 543, 10427, 269, 1323, 2653, 1259, 540, 14219, 1173, 532, 519, 8613, 4605, 676, 909, 547, 476, 2004, 829, 1298, 729, 6035, 676, 13419, 3293, 1733, 3421, 2718, 609, 13804, 553, 10547, 267, 513, 15409, 6431, 24128, 5496, 799, 13352, 610, 1175, 6763, 538, 4395, 540, 519, 8613, 1305, 543, 2501, 538, 1585, 7306, 269, 31245, 2039, 689, 623, 2432, 476, 5655, 269, 4200, 547, 623, 2432, 476, 15686, 269, 4200, 563, 763, 24234, 4149, 4754, 689, 2480, 656, 1815, 568, 513, 11684, 595, 6311, 309, 3172, 4328, 1062, 281, 513, 8254, 593, 513, 1796, 799, 10525, 593, 513, 3339, 8613, 5496, 267, 621, 666, 3172, 1518, 909, 547, 476, 272, 267, 1822, 2053, 543, 581, 9859, 693, 3592, 1022, 5086, 269, 898, 568, 865, 1769, 543, 1507, 602, 519, 2754, 15565, 602, 10453, 723, 6763, 693, 1753, 543, 1153, 543, 4163, 519, 8254, 1753, 609, 873, 269, 634, 3109, 543, 3043, 4528, 3790, 623, 2432, 476, 275, 4037, 282, 519, 7990, 4528, 623, 2432, 476, 279, 4037, 563, 16449, 519, 1906, 4803, 6002, 538, 519, 1858, 540, 16837, 543, 7328, 729, 6611, 298, 2761, 267, 513, 10672, 543, 14704, 540, 7317, 3818, 1606, 29022, 4559, 267, 945, 616, 1631, 2324, 609, 1896, 3506, 547, 3888, 3308, 543, 3280, 2360, 538, 10977, 20115, 269, 3509, 540, 891, 616, 2966, 609, 519, 2115, 540, 11617, 27780, 8529, 10453, 538, 2247, 267, 6220, 28241, 2833, 971, 607, 1216, 32062, 543, 535, 870, 1622, 282, 14015, 10529, 543, 4824, 1035, 24065, 923, 269, 3487, 21871, 10694, 585, 1346, 609, 930, 8289, 616, 1804, 5546, 267, 513, 5182, 267, 585, 1383, 267, 799, 568, 15810, 593, 547, 519, 7535, 781, 2627, 543, 6410, 1472, 865, 602, 519, 1126, 666, 1246, 621, 563, 14197, 1344, 593, 2069, 543, 16837, 6703, 585, 519, 11617, 15176, 568, 2139, 689, 519, 681, 25712, 289, 781, 4065, 543, 2274, 15370, 8257, 267, 799, 666, 849, 3761, 513, 1804, 1587, 3391, 593, 3756, 543, 13410, 799, 616, 2139, 689, 519, 20576, 269, 1452, 1331, 4858, 4068, 536, 22857, 6486, 282, 2480, 4599, 1076, 609, 519, 5022, 543, 2418, 9102, 538, 4858, 4068, 543, 2531, 3626, 525, 609, 6659, 15956, 563, 9827, 593, 4159, 941, 1082, 5266, 2241, 6191, 2699, 525, 11220, 585, 519, 11617, 27656, 11474, 269, 1452, 3769, 519, 661, 14515, 2452, 18706, 8291, 26761, 7844, 476, 15171, 273, 630, 303, 2432, 476, 5392, 264, 543, 15571, 18706, 8291, 5589, 4650, 630, 303, 2432, 476, 4817, 264, 689, 22548, 651, 543, 8055, 269, 5900, 847, 633, 6191, 267, 789, 723, 1804, 267, 9296, 6088, 267, 28241, 5665, 8060, 543, 17804, 15437, 563, 20663, 2861, 1949, 723, 1831, 5051, 15409, 5063, 267, 855, 519, 11617, 15176, 1419, 991, 606, 1256, 3152, 1377, 540, 2823, 1464, 982, 519, 10545, 267, 1769, 652, 8074, 1504, 2780, 609, 4633, 666, 2709, 269, 2290, 540, 519, 811, 2487, 543, 10427, 711, 564, 5474, 2139, 568, 519, 4858, 4068, 700, 924, 689, 11576, 800, 7010, 267, 799, 568, 2356, 1031, 607, 513, 4990, 540, 2780, 2213, 8606, 1993, 1314, 269, 623, 12714, 13355, 267, 621, 814, 513, 3102, 2262, 16267, 609, 11963, 2638, 619, 269, 7956, 568, 1883, 539, 538, 1210, 513, 3670, 1673, 582, 4858, 4068, 13691, 269, 6176, 568, 15600, 998, 10991, 4633, 267, 855, 849, 513, 4858, 4068, 4159, 799, 6087, 519, 9420, 1268, 547, 834, 1348, 257, 1018, 646, 610, 1352, 814, 3403, 1540, 269, 634, 3684, 666, 849, 581, 726, 28289, 883, 513, 4858, 4068, 2377, 1601, 518, 610, 1776, 2780, 269, 2311, 623, 2432, 476, 273, 267, 4200, 276, 267, 2705, 267, 713, 8626, 27274, 11684, 3684, 1281, 711, 2097, 10464, 563, 763, 681, 25712, 289, 814, 2407, 1592, 902, 540, 1082, 1114, 12204, 540, 2472, 607, 1134, 607, 824, 1344, 593, 2200, 585, 519, 11617, 15176, 563, 2704, 874, 822, 1707, 267, 1530, 2096, 648, 5600, 267, 25767, 3033, 28818, 267, 4400, 19785, 1260, 2041, 267, 645, 15085, 24605, 1321, 476, 274, 4047, 269, 20052, 281, 476, 26522, 11463, 476, 30019, 27898, 454, 5141, 541, 651, 543, 8055, 19007, 7577, 13456, 267, 24332, 5600, 267, 24332, 10003, 267, 9931, 15838, 267, 5080, 9445, 15382, 277, 476, 279, 16256, 269, 20052, 281, 476, 26289, 272, 476, 5780, 280, 476, 4510, 272, 272, 563, 306, 29022, 7010, 267, 476, 272, 20242, 1782, 19835, 267, 476, 29574, 268, 24062, 3798, 326, 2264, 10003, 267, 5507, 32065, 280, 476, 277, 301, 289, 269, 20052, 281, 476, 26289, 272, 476, 13078, 476, 4968, 273, 563, 32153, 17496, 7896, 267, 4270, 12064, 5600, 267, 476, 3445, 654, 1023, 10290, 10003, 267, 670, 3558, 514, 267, 670, 1068, 338, 590, 294, 275, 476, 280, 306, 311, 1547, 476, 26522, 7830, 476, 22213, 4037, 272, 563, 305, 25712, 289, 21436, 7896, 267, 681, 25712, 289, 267, 18161, 13340, 476, 15876, 267, 8834, 28386, 18027, 273, 476, 277, 16703, 269, 20052, 281, 476, 271, 4097, 276, 476, 271, 2537, 14631, 563, 305, 25712, 289, 4065, 6176, 6796, 267, 476, 23470, 4279, 24144, 9335, 267, 5507, 654, 331, 301, 476, 277, 8150, 269, 20052, 281, 476, 30203, 272, 476, 4343, 279, 476, 14695, 277, 563, 9928, 656, 1815, 17496, 22707, 267, 476, 277, 31130, 28386, 19171, 267, 4858, 1188, 24274, 681, 294, 1321, 476, 273, 301, 289, 269, 20052, 281, 476, 25320, 4510, 476, 28883, 6021, 277, 563, 22129, 298, 2761, 267, 18844, 326, 650, 5600, 267, 14472, 572, 9335, 267, 26676, 2917, 267, 4639, 31920, 30183, 1240, 476, 274, 14684, 269, 20052, 281, 476, 23713, 10619, 476, 6812, 272, 23669, 563, 1805, 19099, 1733, 3421, 2718, 267, 476, 27868, 5685, 577, 2917, 10003, 267, 5507, 32065, 274, 476, 277, 21254, 269, 20052, 281, 476, 30203, 272, 476, 32542, 476, 276, 5655, 274, 269, 0, 10287, 11721, 822, 1158, 2112, 476, 272, 1382, 1867, 676, 281, 1158, 2112, 1775, 2261, 4897, 320, 28250, 1676, 657, 476, 272, 268, 6021, 268, 1001, 272, 13797, 29503, 13137, 1107, 476, 272, 2985, 269, 634, 6205, 540, 27437, 693, 519, 942, 540, 32685, 273, 543, 519, 1268, 530, 267, 1382, 1957, 1557, 270, 3410, 1957, 281, 1158, 2112, 13797, 1557, 267, 2165, 1957, 267, 1382, 1957, 281, 1158, 2112, 269, 2622, 2112, 13797, 2165, 4574, 2139, 693, 4541, 4574, 1260, 267, 519, 4102, 1863, 2165, 1957, 2146, 269, 6468, 538, 1158, 2112, 13797, 713, 1382, 1957, 2021, 538, 1158, 2112, 13797, 543, 824, 476, 8287, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 269, 3367, 713, 7819, 1686, 1382, 1957, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 519, 721, 10024, 1158, 2112, 13797, 519, 721, 10024, 1158, 2112, 13797, 513, 4266, 602, 786, 269, 10749, 267, 1382, 4574, 267, 519, 4513, 581, 8746, 538, 519, 22464, 540, 707, 1957, 513, 1863, 6538, 540, 1158, 2112, 13797, 4574, 563, 763, 24067, 14364, 540, 1158, 2112, 13797, 519, 2034, 1158, 2112, 568, 519, 1034, 15265, 2112, 2479, 10692, 538, 519, 1686, 540, 519, 1158, 519, 2112, 10645, 5207, 1297, 540, 15073, 269, 2622, 2112, 13797, 1382, 1957, 3584, 1931, 610, 6718, 16523, 2221, 1603, 513, 1382, 1957, 568, 711, 606, 2653, 4305, 972, 616, 1585, 1713, 3268, 3238, 799, 269, 630, 29798, 2985, 476, 274, 264, 2070, 543, 4647, 1158, 2112, 13797, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 1158, 2112, 13797, 1557, 269, 5131, 3594, 593, 1158, 2112, 13797, 2139, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 269, 3194, 1369, 7172, 4115, 5498, 21124, 1382, 3584, 593, 1158, 2112, 13797, 689, 519, 1391, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 267, 4081, 13746, 267, 17476, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 269, 26751, 335, 22057, 630, 4696, 476, 280, 1107, 5084, 476, 8064, 994, 6826, 5765, 14890, 1310, 519, 21173, 1032, 540, 11313, 6924, 950, 1614, 900, 30752, 12199, 543, 941, 26356, 538, 519, 1482, 1032, 267, 713, 588, 18757, 812, 729, 782, 827, 2870, 1931, 269, 1261, 729, 865, 11235, 547, 2445, 2724, 538, 9204, 267, 646, 13684, 513, 3454, 593, 519, 10729, 19216, 543, 585, 6031, 968, 332, 2292, 3085, 1406, 9329, 6100, 7937, 9493, 1695, 267, 646, 849, 3710, 602, 11599, 2497, 649, 782, 917, 607, 519, 2051, 657, 572, 636, 563, 278, 269, 4790, 14932, 630, 4696, 476, 18231, 268, 5084, 476, 29876, 994, 17746, 14932, 4718, 513, 5075, 538, 519, 6607, 835, 3781, 1354, 513, 23801, 6370, 269, 589, 5075, 602, 1131, 2981, 519, 1158, 607, 649, 917, 621, 267, 621, 729, 2663, 11911, 547, 513, 1880, 4984, 563, 2026, 513, 1267, 540, 1010, 11802, 538, 519, 1671, 5224, 6370, 267, 646, 3656, 1242, 713, 2899, 856, 25237, 539, 543, 535, 16206, 4984, 269, 1284, 917, 621, 2221, 607, 8567, 2336, 277, 269, 32471, 320, 630, 4696, 476, 1789, 1107, 5084, 476, 7176, 994, 13436, 547, 26751, 335, 22057, 267, 646, 15110, 606, 7276, 538, 14784, 1310, 519, 530, 871, 334, 17169, 267, 12358, 23790, 4904, 519, 10504, 609, 4250, 269, 1261, 15428, 519, 9204, 538, 3870, 540, 519, 4057, 267, 855, 1010, 1655, 632, 539, 607, 14890, 729, 547, 9772, 3004, 13568, 543, 2012, 1864, 24288, 563, 1607, 729, 1271, 1317, 646, 7012, 1406, 1010, 1973, 3448, 543, 538, 3257, 865, 11074, 519, 1920, 15913, 543, 1305, 909, 513, 11344, 2085, 538, 7507, 602, 1131, 2063, 3592, 476, 1911, 1296, 563, 276, 269, 16653, 3626, 623, 1470, 630, 4696, 476, 10436, 1107, 5084, 476, 14065, 994, 16978, 539, 14890, 693, 519, 2085, 540, 476, 7906, 267, 646, 12199, 2394, 646, 729, 476, 10619, 1296, 2025, 269, 1323, 5863, 569, 2025, 2085, 693, 519, 942, 267, 1010, 12081, 729, 9602, 269, 901, 568, 1946, 646, 16034, 693, 1297, 2947, 563, 4415, 1100, 24187, 267, 1100, 14427, 2112, 543, 1100, 4583, 19420, 546, 685, 564, 520, 267, 16653, 3626, 623, 1470, 729, 3807, 513, 1434, 812, 4881, 519, 4936, 7276, 269, 1656, 3314, 267, 519, 4936, 7276, 27648, 1034, 540, 5375, 31511, 693, 519, 942, 563, 275, 269, 29849, 589, 675, 2993, 639, 630, 4696, 476, 13199, 1107, 5084, 476, 5197, 994, 3891, 6170, 1034, 540, 1010, 4876, 607, 17169, 593, 519, 4108, 13009, 538, 4436, 807, 630, 331, 11343, 1472, 2413, 6377, 5125, 2221, 1040, 2755, 1010, 1034, 4583, 3409, 547, 21239, 568, 32161, 1242, 538, 519, 7260, 968, 10908, 14508, 1807, 5608, 646, 729, 849, 606, 3608, 14610, 543, 23070, 563, 4913, 267, 1010, 1152, 31774, 729, 7446, 1010, 5067, 2155, 21402, 607, 519, 1985, 17169, 269, 3245, 972, 267, 621, 782, 4682, 1524, 24824, 563, 274, 269, 4239, 822, 1014, 267, 589, 25605, 31217, 630, 8287, 645, 5861, 269, 1107, 589, 6185, 269, 476, 1691, 994, 3086, 7168, 1454, 782, 519, 2506, 30752, 941, 1572, 31217, 267, 855, 713, 729, 519, 1101, 835, 256, 1261, 10816, 3022, 519, 1974, 1063, 519, 530, 22135, 2395, 540, 519, 6243, 543, 519, 4098, 540, 519, 18710, 2395, 540, 519, 7276, 563, 3891, 3323, 519, 7325, 1470, 4211, 5055, 644, 1014, 19092, 543, 568, 3743, 585, 519, 13698, 311, 681, 6865, 288, 2793, 1107, 13458, 2429, 519, 4936, 7276, 269, 11635, 1227, 267, 621, 779, 5156, 602, 646, 729, 8914, 539, 547, 2669, 693, 519, 3946, 540, 1010, 7385, 563, 273, 269, 16874, 6929, 630, 288, 6185, 269, 476, 10602, 1107, 589, 6185, 269, 476, 15946, 994, 8170, 782, 519, 1655, 4936, 2506, 30752, 267, 9039, 568, 811, 6719, 538, 519, 21219, 540, 519, 2899, 27703, 995, 4936, 7276, 269, 1284, 723, 16874, 6929, 779, 9931, 538, 4789, 267, 16874, 6929, 779, 13527, 538, 9210, 1127, 639, 267, 16874, 20379, 5246, 538, 18603, 543, 16874, 20379, 570, 4861, 543, 13527, 538, 7507, 269, 769, 1840, 267, 519, 23202, 515, 517, 538, 7507, 568, 849, 11911, 547, 16874, 6929, 563, 3891, 6068, 10707, 1472, 519, 7276, 267, 729, 513, 5458, 6067, 1723, 7302, 850, 543, 568, 1634, 585, 15962, 513, 645, 603, 2106, 1014, 5259, 6107, 3957, 4165, 29532, 269, 1879, 4165, 29532, 12357, 569, 546, 27547, 538, 519, 20407, 267, 646, 1500, 1864, 513, 5601, 543, 3710, 513, 2749, 1310, 1864, 1572, 4165, 514, 641, 12994, 269, 1403, 602, 779, 711, 2648, 267, 4986, 568, 2336, 272, 269, 3004, 13568, 630, 288, 6185, 269, 476, 7367, 268, 589, 6185, 269, 476, 14056, 994, 763, 1101, 17169, 4535, 3544, 540, 7977, 630, 514, 2413, 6377, 8050, 1070, 3004, 13568, 729, 11537, 269, 634, 4108, 740, 1819, 585, 1010, 3838, 23434, 609, 873, 267, 8723, 14564, 15197, 1864, 585, 1010, 21464, 10304, 1982, 543, 519, 14130, 15197, 1864, 585, 519, 7156, 646, 4951, 873, 563, 3891, 23762, 519, 4936, 7276, 676, 9518, 1359, 667, 29716, 630, 19640, 6377, 27597, 1070, 27859, 630, 19640, 6377, 12925, 264, 543, 3474, 628, 807, 630, 19640, 6377, 9459, 1916, 26796, 1010, 2669, 267, 1010, 607, 1127, 941, 2322, 538, 606, 2712, 333, 538, 1010, 6241, 269, 3004, 13568, 779, 28758, 1869, 6763, 23217, 538, 519, 4099, 540, 7507, 269, 589, 15266, 547, 1010, 21239, 267, 1256, 1079, 5553, 1310, 1010, 2669, 267, 6845, 2209, 1131, 12196, 513, 1007, 17169, 676, 6031, 968, 5415, 26752, 982, 31217, 267, 543, 1732, 982, 3004, 13568, 6100, 2037, 965, 1767, 563, 296, 21763, 2859, 7977, 2336, 268, 6744, 856, 938, 13334, 3381, 543, 1900, 8386, 9912, 3391, 827, 875, 547, 798, 7507, 538, 513, 4303, 269, 1403, 596, 8910, 2864, 1577, 721, 3391, 596, 267, 2638, 856, 938, 7507, 19150, 563, 268, 3502, 2386, 1141, 547, 3251, 538, 7507, 286, 3367, 713, 3391, 2336, 268, 7427, 938, 9035, 538, 7977, 593, 9365, 267, 17749, 267, 543, 13334, 269, 3973, 267, 6085, 543, 2995, 721, 1018, 596, 1616, 721, 547, 3382, 1985, 269, 0, 763, 12052, 19438, 7510, 326, 3240, 15529, 568, 7396, 607, 513, 5313, 13155, 543, 1533, 13155, 2249, 630, 310, 3722, 476, 13136, 268, 29637, 268, 18089, 1040, 769, 6115, 267, 2048, 685, 754, 11139, 257, 1797, 1022, 7320, 2249, 5065, 547, 519, 1533, 602, 568, 12517, 12219, 609, 14486, 2429, 782, 610, 513, 1713, 6712, 540, 922, 2039, 1369, 519, 1533, 563, 763, 2551, 540, 12052, 19438, 7510, 326, 3240, 15529, 568, 1970, 543, 568, 11280, 607, 513, 5940, 3307, 15510, 21540, 618, 585, 4027, 896, 519, 772, 2529, 269, 29510, 15661, 2920, 269, 11094, 6937, 547, 519, 9069, 1014, 19438, 7510, 326, 3240, 15529, 1331, 2530, 543, 12159, 540, 21906, 4614, 28500, 5097, 1813, 547, 7503, 543, 26610, 540, 713, 7226, 547, 5186, 680, 663, 585, 6683, 543, 1646, 563, 20373, 543, 16186, 454, 763, 7510, 326, 3240, 15529, 568, 519, 10545, 15529, 2249, 538, 3345, 3013, 269, 898, 666, 1332, 909, 547, 476, 1556, 6279, 1279, 543, 9260, 909, 547, 476, 1626, 13728, 269, 898, 814, 513, 1793, 622, 12457, 32442, 602, 666, 2490, 6960, 1282, 519, 4832, 3275, 269, 4706, 10772, 616, 2110, 543, 922, 2766, 568, 5176, 15865, 269, 16989, 8951, 616, 5594, 3677, 982, 2937, 9038, 563, 292, 19223, 543, 1272, 1686, 454, 13695, 326, 3240, 17544, 616, 27041, 20815, 8078, 919, 267, 4470, 593, 713, 7226, 585, 6668, 269, 667, 1619, 6763, 540, 27041, 20815, 1683, 7510, 326, 3240, 17544, 609, 1032, 15778, 1426, 543, 12062, 269, 7111, 267, 21064, 21823, 543, 585, 2125, 1683, 606, 1271, 1426, 2707, 4098, 538, 5614, 543, 2523, 538, 4832, 543, 2887, 543, 2620, 267, 2003, 762, 11934, 1450, 873, 547, 4020, 3276, 4900, 563, 763, 7510, 326, 3240, 15529, 568, 835, 540, 1152, 1079, 3345, 1977, 17544, 1634, 547, 2007, 922, 1378, 3276, 4900, 269, 8738, 4900, 616, 1031, 585, 12062, 267, 22243, 3467, 326, 1637, 630, 1729, 10038, 1560, 2837, 1070, 543, 3106, 689, 11975, 269, 8738, 992, 1949, 616, 3622, 1336, 593, 544, 2432, 610, 9543, 19527, 563, 19136, 27041, 20815, 568, 519, 3119, 1426, 2707, 267, 16030, 476, 3445, 2600, 540, 519, 5162, 2732, 267, 855, 21823, 543, 585, 2125, 616, 849, 13881, 538, 5614, 543, 4832, 269, 11314, 4386, 2429, 519, 1032, 267, 543, 7510, 326, 3240, 17544, 949, 581, 3742, 1022, 942, 540, 1554, 610, 3781, 630, 24392, 1034, 2534, 4386, 1282, 519, 1000, 559, 697, 3108, 1916, 17954, 5338, 11498, 689, 4924, 269, 547, 5147, 269, 7981, 1242, 562, 7614, 3276, 4900, 267, 1141, 8951, 2285, 4332, 547, 1762, 267, 616, 14155, 730, 5094, 689, 10821, 3276, 4900, 269, 12339, 2297, 723, 1079, 547, 2185, 1396, 1562, 829, 1032, 609, 909, 547, 3670, 20164, 829, 16445, 563, 303, 1042, 2209, 1331, 649, 553, 1564, 267, 31352, 4925, 267, 1977, 3983, 7970, 267, 17761, 802, 267, 31450, 267, 543, 824, 23097, 5387, 11864, 543, 5017, 563, 13695, 326, 3240, 17544, 9468, 27041, 20815, 26730, 3990, 2127, 540, 519, 4279, 19438, 538, 13980, 540, 14822, 267, 4993, 267, 21600, 267, 18096, 267, 27924, 267, 23497, 267, 543, 29131, 269, 634, 6115, 2551, 814, 1044, 9678, 689, 519, 14230, 540, 519, 2249, 262, 2039, 585, 693, 2547, 476, 1015, 267, 1822, 1296, 267, 543, 7654, 607, 1279, 607, 476, 2412, 267, 1822, 547, 476, 12893, 267, 1822, 1296, 563, 763, 12052, 19438, 7510, 326, 3240, 15529, 2551, 568, 32321, 543, 16220, 15768, 689, 519, 14230, 540, 519, 3454, 517, 543, 713, 2551, 568, 1713, 1813, 547, 519, 2189, 8733, 4259, 630, 328, 4318, 1421, 27230, 267, 2916, 267, 3037, 267, 543, 10664, 2146, 264, 538, 799, 621, 4386, 563, 300, 5237, 19494, 5638, 543, 6325, 8289, 5638, 1397, 602, 7510, 326, 3240, 17544, 2899, 13026, 27041, 20815, 7226, 538, 28564, 517, 267, 17566, 267, 16827, 267, 12493, 267, 543, 19958, 17521, 269, 19232, 2632, 1670, 2963, 2303, 519, 2249, 840, 7290, 528, 1227, 1185, 513, 6626, 3892, 602, 849, 3769, 15284, 267, 918, 8636, 26320, 267, 595, 3559, 534, 267, 962, 752, 9874, 267, 543, 18724, 2006, 17521, 563, 3528, 476, 1220, 272, 267, 1152, 835, 2551, 7283, 693, 590, 720, 20815, 25065, 13812, 9351, 538, 19958, 6019, 269, 6423, 519, 11094, 3296, 585, 654, 5263, 310, 781, 7510, 326, 3240, 15529, 6051, 4674, 563, 2690, 513, 4786, 20515, 1761, 2039, 543, 7226, 3892, 540, 713, 2249, 538, 6115, 267, 1294, 519, 3557, 4204, 13812, 11059, 4643, 269, 1280, 513, 4786, 540, 5001, 3892, 543, 824, 2249, 262, 1344, 267, 2638, 856, 7186, 306, 2925, 25817, 563, 763, 12052, 19438, 7510, 326, 3240, 15529, 568, 4857, 607, 513, 968, 11854, 2886, 540, 4279, 652, 11094, 10261, 892, 630, 306, 24774, 301, 264, 896, 519, 3557, 13812, 11059, 4643, 630, 14684, 4338, 1040, 590, 24774, 301, 11665, 1881, 2249, 1331, 1312, 1346, 609, 543, 1510, 3656, 4027, 4567, 896, 519, 8549, 610, 3557, 29510, 15661, 3292, 267, 607, 1134, 607, 3014, 2249, 609, 1970, 5095, 269, 634, 654, 5263, 310, 17335, 4338, 568, 851, 540, 513, 18487, 4674, 676, 782, 476, 2004, 2829, 543, 2947, 772, 2529, 269, 11182, 547, 1020, 5726, 2962, 4566, 585, 3165, 267, 7320, 267, 543, 741, 2067, 9249, 2443, 7114, 3255, 585, 2249, 685, 6051, 1354, 789, 616, 6650, 6150, 543, 811, 3908, 563, 763, 12052, 19438, 7510, 326, 3240, 15529, 568, 4857, 607, 513, 968, 26212, 640, 15661, 892, 896, 654, 5263, 310, 779, 13405, 640, 26335, 543, 15661, 5358, 630, 303, 9391, 1040, 13405, 640, 2249, 2154, 8825, 3800, 585, 741, 6668, 1813, 547, 741, 2551, 4567, 267, 8417, 547, 7226, 27327, 267, 543, 5924, 16351, 267, 5010, 267, 610, 17174, 2956, 269, 634, 623, 9391, 1982, 568, 519, 8116, 781, 1292, 1797, 540, 4687, 3165, 543, 7320, 1344, 609, 2199, 6608, 267, 2244, 14935, 267, 543, 1866, 945, 946, 621, 547, 2149, 10862, 9249, 585, 2244, 946, 4058, 563, 763, 12052, 19438, 7510, 326, 3240, 15529, 2551, 568, 16220, 3982, 267, 2808, 547, 723, 1044, 9678, 585, 476, 1015, 267, 1822, 1296, 610, 3476, 689, 519, 1964, 540, 519, 7510, 326, 3240, 15529, 2551, 269, 14066, 8397, 2530, 543, 26610, 540, 21906, 4614, 28500, 7226, 941, 2693, 519, 3119, 2188, 7700, 547, 7771, 267, 855, 2899, 519, 2551, 12628, 2630, 513, 1978, 12939, 267, 824, 2188, 971, 607, 2825, 2621, 630, 2169, 3153, 4365, 543, 3595, 1070, 32456, 267, 2068, 267, 543, 538, 3691, 5338, 2693, 2968, 6937, 563, 8256, 3569, 3527, 2877, 547, 2232, 891, 6937, 1331, 4027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5982, 630, 303, 2752, 1070, 543, 11626, 2910, 273, 9830, 269, 5015, 267, 6932, 14164, 630, 25542, 540, 12085, 264, 5867, 5512, 6552, 10333, 543, 12957, 7207, 3842, 6531, 2861, 3301, 3156, 267, 14123, 15774, 5610, 1063, 8800, 3457, 543, 3593, 17103, 780, 4089, 10001, 281, 25256, 543, 31786, 7010, 585, 8693, 6513, 454, 18893, 2711, 2030, 2208, 1419, 19329, 4509, 1808, 9832, 540, 2837, 543, 26149, 2175, 2429, 1114, 5933, 540, 7693, 1646, 269, 1261, 908, 267, 20764, 7976, 267, 5794, 16448, 532, 630, 295, 309, 3722, 264, 1949, 1404, 513, 2629, 1909, 538, 9013, 19355, 5210, 543, 4180, 7850, 2011, 10009, 1369, 8511, 5624, 269, 6684, 267, 5841, 8654, 2959, 7110, 2067, 7943, 8244, 1282, 5712, 540, 1970, 23735, 4800, 610, 6905, 14334, 267, 7551, 5009, 5812, 13947, 13250, 543, 7833, 1587, 2298, 269, 28871, 8045, 5841, 8654, 4066, 1331, 1164, 27233, 11166, 22311, 630, 324, 3052, 1421, 4496, 10300, 728, 543, 1164, 25774, 9770, 15620, 1070, 10896, 14249, 267, 543, 15632, 8279, 269, 3962, 1826, 19299, 2189, 19706, 4162, 267, 12117, 16863, 267, 543, 10512, 1942, 12632, 11562, 13589, 6297, 7156, 950, 8939, 3617, 3937, 19383, 780, 4089, 966, 281, 30404, 22604, 547, 5682, 5264, 28290, 543, 6513, 454, 3849, 9330, 906, 538, 17562, 267, 3684, 1565, 6620, 267, 543, 2780, 5075, 2553, 1200, 12245, 1007, 3255, 585, 5355, 4199, 13345, 543, 4074, 7607, 1369, 4207, 8511, 6703, 269, 32534, 5985, 11608, 9280, 609, 6354, 15975, 7916, 7520, 1875, 1673, 652, 10614, 4307, 19685, 4247, 267, 7175, 3173, 547, 2708, 2030, 1072, 4567, 6385, 543, 8308, 269, 30059, 30574, 2029, 6971, 3114, 3403, 3653, 1247, 17420, 11832, 3106, 269, 11531, 267, 16762, 9781, 10850, 15407, 3140, 4365, 3270, 543, 7693, 2773, 14573, 547, 9472, 2104, 3747, 7653, 267, 6908, 23164, 3761, 5832, 17825, 543, 4227, 10512, 16841, 780, 6962, 912, 1103, 5758, 267, 2413, 8511, 2504, 1949, 2099, 606, 31498, 14212, 540, 3309, 10459, 21214, 6189, 267, 4702, 267, 1344, 2029, 267, 543, 2030, 17550, 269, 1306, 2518, 5095, 3136, 547, 4228, 543, 27442, 1076, 2244, 2200, 1831, 5051, 17077, 267, 519, 2956, 540, 3384, 5499, 3435, 585, 4264, 1426, 2504, 3112, 581, 936, 26061, 269, 3414, 4797, 5698, 1851, 24243, 267, 2229, 8041, 267, 543, 4357, 5823, 8639, 267, 649, 666, 18783, 3078, 23484, 538, 6417, 1604, 6683, 26405, 547, 22499, 2757, 8105, 26336, 538, 519, 4947, 5756, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12749, 476, 1015, 7201, 476, 2412, 23602, 1491, 8105, 547, 519, 1283, 454, 1607, 1032, 779, 5440, 476, 1015, 7201, 476, 2412, 23602, 3357, 689, 2066, 519, 4182, 267, 1519, 711, 1152, 8511, 10448, 543, 8768, 25210, 267, 855, 11255, 8105, 607, 1134, 563, 18907, 476, 2420, 267, 476, 1001, 279, 1635, 13983, 3279, 15616, 340, 454, 15371, 621, 779, 606, 1202, 520, 4192, 14031, 585, 1702, 610, 513, 5397, 547, 3048, 622, 267, 741, 562, 7631, 2209, 685, 8292, 1107, 607, 1134, 607, 741, 1378, 1107, 7866, 4010, 1946, 891, 23602, 12236, 513, 1283, 5544, 269, 11289, 596, 547, 6754, 4425, 619, 543, 2398, 1231, 5682, 17346, 585, 741, 21464, 1489, 540, 519, 17758, 713, 1032, 563, 299, 820, 661, 4471, 10787, 916, 5549, 563, 301, 528, 27714, 6019, 267, 10396, 454, 30875, 674, 1845, 523, 568, 519, 8511, 9614, 693, 8235, 661, 4471, 10787, 916, 269, 3571, 2182, 960, 543, 11995, 11428, 723, 711, 8854, 29462, 563, 2108, 3891, 13423, 558, 3278, 519, 9441, 602, 1169, 16108, 13922, 547, 723, 538, 602, 646, 8255, 519, 1870, 607, 952, 621, 941, 1010, 1378, 2223, 3081, 25014, 773, 654, 6308, 601, 267, 989, 1026, 5350, 9614, 693, 8235, 661, 4471, 10787, 916, 269, 968, 3891, 3217, 11348, 543, 9562, 538, 3388, 646, 1281, 267, 543, 1128, 1571, 602, 267, 2059, 609, 1010, 5863, 960, 2802, 545, 547, 782, 1010, 5234, 3034, 31572, 7693, 1310, 7693, 2059, 530, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 717, 19181, 2894, 5058, 1315, 5682, 17346, 1315, 8693, 6513, 7010, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 2290, 281, 4197, 1715, 10215, 26135, 3213, 1231, 692, 1103, 1003, 1143, 18267, 267, 513, 11777, 602, 1281, 711, 723, 3656, 13035, 4567, 9783, 676, 513, 2229, 1560, 568, 5219, 547, 607, 513, 14810, 11777, 269, 1452, 11113, 616, 1419, 3812, 676, 4357, 544, 6493, 543, 4196, 1585, 5301, 971, 607, 16033, 908, 3140, 2621, 267, 14120, 2442, 2528, 267, 610, 3274, 7674, 607, 2445, 17156, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1158, 540, 1715, 10215, 14810, 11113, 543, 741, 4644, 1369, 11174, 5708, 1305, 538, 5245, 543, 7909, 807, 780, 6637, 5565, 281, 634, 22845, 540, 513, 26135, 3213, 514, 692, 6524, 11362, 4514, 883, 1715, 10215, 6720, 553, 625, 267, 1577, 721, 1101, 4983, 1018, 13054, 513, 6093, 14810, 11777, 269, 589, 14810, 11777, 3335, 13408, 1896, 3334, 910, 519, 1073, 2091, 630, 12506, 2427, 1070, 9258, 630, 10587, 728, 1070, 4496, 5888, 267, 21000, 1588, 267, 543, 9096, 269, 1284, 4927, 2263, 891, 2609, 1210, 606, 1383, 3177, 538, 938, 6679, 642, 793, 8291, 281, 513, 476, 1220, 271, 2173, 17448, 3908, 7160, 1715, 10215, 14810, 11777, 267, 22921, 1948, 5379, 274, 267, 10023, 513, 2189, 1374, 543, 14468, 607, 21668, 3583, 676, 15726, 290, 780, 6637, 8422, 281, 5071, 15689, 910, 5136, 2091, 543, 681, 27654, 692, 763, 1073, 2091, 543, 9258, 540, 513, 11777, 2099, 922, 1079, 8188, 269, 27603, 267, 519, 1073, 2091, 2934, 519, 17855, 540, 513, 12081, 532, 16313, 610, 1713, 3084, 4137, 3650, 1247, 519, 9258, 20502, 6698, 8204, 519, 29307, 11769, 610, 6249, 1373, 9976, 269, 1717, 267, 2094, 14810, 11113, 798, 711, 15666, 14553, 547, 2757, 4441, 267, 789, 2709, 3152, 3860, 5191, 950, 8888, 1312, 5011, 269, 1280, 3236, 267, 938, 12286, 11777, 949, 6813, 1022, 2460, 4143, 547, 1715, 10215, 781, 2686, 6561, 267, 18508, 267, 21426, 267, 610, 1686, 780, 6637, 9050, 281, 19045, 23531, 543, 5685, 880, 692, 300, 13926, 5888, 4249, 513, 2629, 1909, 538, 8159, 513, 11777, 781, 1871, 543, 15006, 269, 5871, 8407, 1031, 538, 11777, 2504, 1331, 4154, 267, 8988, 267, 7601, 267, 19695, 267, 31091, 267, 23080, 18123, 267, 13058, 267, 17646, 267, 1291, 267, 543, 11956, 269, 3776, 12006, 11777, 1522, 8415, 835, 610, 2789, 10475, 8407, 4470, 593, 922, 5497, 3483, 543, 2344, 3747, 269, 3958, 267, 26088, 899, 6169, 267, 13085, 4608, 597, 1529, 730, 267, 25447, 267, 610, 3357, 334, 3986, 3308, 9029, 543, 678, 10846, 780, 6637, 12866, 281, 717, 15665, 3590, 543, 27872, 589, 2102, 2886, 692, 294, 15665, 1949, 948, 2708, 513, 11777, 781, 2783, 1759, 593, 2188, 899, 10880, 267, 561, 13831, 267, 2627, 11091, 267, 543, 3750, 9029, 269, 12333, 3906, 899, 6613, 29487, 2871, 5875, 344, 15278, 630, 7582, 290, 264, 3446, 11113, 2687, 547, 3964, 7355, 267, 4180, 32301, 2066, 519, 2872, 269, 1306, 5018, 4505, 267, 938, 3732, 11777, 814, 1044, 14468, 21668, 3583, 676, 15726, 290, 267, 10834, 11108, 2298, 780, 6637, 14520, 281, 10020, 540, 26135, 3213, 1231, 538, 19565, 11470, 692, 3086, 602, 649, 1174, 519, 14960, 3238, 538, 2870, 14810, 11113, 267, 1577, 721, 5659, 875, 789, 4183, 30326, 1369, 11174, 3332, 1305, 538, 5245, 543, 7909, 807, 269, 10705, 6964, 607, 4729, 3457, 267, 891, 2445, 1043, 3688, 8141, 7279, 1851, 1762, 3988, 827, 11585, 267, 1686, 267, 13299, 267, 543, 824, 4529, 269, 1635, 10128, 14810, 11113, 883, 6386, 267, 4589, 12954, 9345, 543, 3895, 1565, 3564, 6671, 23447, 780, 6637, 18599, 281, 8865, 5530, 1107, 1715, 10215, 26135, 3213, 1231, 538, 9085, 692, 2414, 9414, 519, 1764, 540, 6220, 14810, 11113, 538, 9423, 267, 2015, 513, 19858, 1453, 781, 1433, 11331, 834, 298, 12685, 328, 2372, 652, 2437, 1141, 519, 16502, 2377, 10225, 593, 606, 7045, 5473, 513, 3126, 540, 2591, 5532, 547, 1114, 1715, 10215, 6720, 553, 625, 269, 3962, 4161, 796, 331, 4169, 1007, 1702, 827, 8575, 9461, 17691, 267, 5065, 2249, 267, 610, 2199, 8916, 267, 5807, 7071, 585, 519, 3148, 781, 3638, 13795, 540, 5389, 543, 2067, 13300, 780, 6962, 281, 4498, 1145, 532, 519, 5295, 540, 26135, 3213, 1231, 692, 3528, 3695, 519, 9159, 7122, 540, 1715, 10215, 6720, 553, 625, 267, 649, 723, 2938, 875, 891, 20538, 1568, 540, 1148, 3180, 10373, 1761, 585, 2502, 1762, 8186, 538, 6209, 2081, 269, 6787, 11573, 3042, 607, 3872, 2645, 610, 19644, 8952, 1389, 267, 14810, 11113, 2611, 15851, 16782, 5827, 540, 2186, 1782, 4898, 543, 11121, 6602, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 3182, 3293, 568, 519, 4890, 6221, 596, 786, 4309, 269, 1290, 525, 609, 744, 25897, 543, 2910, 288, 269, 901, 568, 1948, 5379, 274, 540, 519, 1970, 544, 17448, 540, 476, 1220, 271, 563, 1432, 2306, 621, 1256, 811, 2027, 568, 519, 1249, 621, 781, 28439, 21668, 3583, 676, 15726, 290, 269, 901, 786, 1118, 606, 15813, 5092, 543, 1840, 547, 707, 4015, 269, 901, 6221, 568, 538, 519, 7121, 834, 10870, 1231, 1299, 7433, 14559, 315, 10870, 1231, 281, 2622, 315, 288, 20624, 1299, 7909, 807, 315, 6124, 10215, 2668, 336, 1314, 276, 329, 272, 337, 321, 680, 257, 543, 568, 4092, 538, 713, 2197, 281, 2475, 563, 1607, 6221, 666, 581, 25855, 547, 2136, 2276, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6124, 10215, 20646, 553, 625, 257, 607, 851, 540, 834, 16300, 16337, 1315, 23089, 1315, 5245, 1299, 7909, 807, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5149, 7170, 281, 4197, 6014, 3778, 998, 519, 30776, 540, 18321, 543, 3131, 14651, 692, 7072, 912, 297, 28779, 1686, 568, 513, 15266, 547, 519, 6043, 543, 5132, 540, 519, 6014, 1004, 269, 3414, 5553, 540, 20655, 267, 24980, 267, 543, 6668, 267, 789, 723, 9738, 741, 2189, 3909, 3961, 543, 5389, 269, 769, 713, 1770, 267, 649, 786, 2263, 930, 1883, 2621, 543, 5515, 538, 6014, 1686, 602, 5031, 519, 2956, 540, 5132, 543, 16177, 269, 1284, 786, 849, 4983, 875, 891, 3140, 2833, 3136, 547, 3337, 4207, 6014, 2528, 543, 3661, 1949, 780, 8893, 476, 272, 281, 634, 23548, 25751, 540, 6014, 3778, 281, 3245, 14062, 547, 15584, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19111, 1504, 593, 20010, 476, 274, 281, 772, 293, 11675, 267, 10555, 5081, 7724, 267, 543, 2622, 6513, 267, 476, 1960, 275, 267, 13343, 3223, 603, 267, 6021, 277, 25228, 4097, 280, 278, 267, 476, 7818, 6021, 277, 25228, 4097, 280, 271, 267, 7629, 26619, 15187, 4964, 267, 476, 1960, 275, 15618, 281, 476, 866, 628, 4989, 476, 1001, 272, 291, 32052, 26183, 4696, 5291, 2517, 4226, 269, 569, 270, 272, 345, 278, 306, 293, 345, 341, 5291, 2517, 2998, 334, 3052, 331, 24250, 1103, 299, 293, 8865, 1504, 593, 20010, 476, 274, 281, 772, 293, 11675, 267, 10555, 5081, 7724, 267, 543, 2622, 6513, 291, 32052, 26183, 4696, 5291, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 28510, 278, 3199, 275, 5291, 2517, 2998, 334, 3052, 331, 24250, 304, 742, 333, 10674, 2517, 4226, 269, 569, 270, 272, 341, 3387, 2190, 7419, 31106, 20640, 344, 6363, 712, 2073, 6723, 2107, 6202, 267, 476, 1220, 275, 267, 11470, 267, 476, 4343, 279, 3817, 269, 27619, 835, 540, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8754, 2483, 10521, 8820, 6419, 3889, 616, 9833, 607, 513, 9621, 1570, 585, 1007, 2010, 540, 1239, 4859, 267, 2094, 519, 6419, 3601, 540, 1367, 7636, 2679, 7161, 666, 581, 11567, 543, 9168, 269, 1280, 519, 1101, 942, 267, 3173, 723, 1631, 3812, 513, 530, 29195, 6253, 514, 7542, 3234, 24599, 267, 538, 799, 6675, 609, 1114, 6419, 7740, 6582, 2933, 593, 513, 4154, 2627, 547, 1106, 513, 2638, 518, 4580, 4806, 269, 12207, 693, 519, 18230, 15089, 657, 7220, 4659, 693, 519, 2160, 540, 30239, 543, 519, 6754, 2480, 615, 17243, 4659, 3370, 741, 4681, 538, 519, 4760, 7186, 18058, 563, 293, 518, 3234, 1725, 1115, 616, 7768, 540, 1079, 7740, 799, 616, 11275, 1242, 693, 1114, 9342, 543, 1448, 538, 15852, 8846, 269, 5565, 8820, 267, 29610, 22286, 520, 7542, 3234, 1725, 1115, 2483, 2304, 8241, 16644, 4042, 1382, 2319, 814, 2813, 519, 1158, 781, 555, 4883, 652, 554, 860, 1090, 267, 22338, 519, 1259, 2509, 519, 5610, 540, 476, 274, 291, 554, 860, 1429, 344, 883, 4948, 2483, 1103, 519, 5198, 547, 3132, 513, 7061, 2780, 267, 513, 1297, 540, 3785, 616, 5275, 513, 1259, 547, 1711, 7061, 11353, 4534, 610, 844, 23605, 4534, 602, 616, 7123, 267, 2495, 789, 616, 711, 1454, 4299, 676, 2242, 538, 741, 1604, 269, 901, 7363, 2115, 3810, 22357, 1875, 1673, 1170, 760, 894, 2609, 5827, 540, 8647, 693, 1360, 1970, 5210, 563, 1103, 13287, 540, 713, 3804, 267, 3173, 693, 21768, 14566, 781, 12524, 540, 7353, 9582, 543, 17747, 12763, 906, 700, 303, 304, 300, 630, 306, 2316, 13478, 289, 1070, 723, 11567, 513, 22357, 22130, 2861, 2483, 291, 1581, 15799, 543, 519, 1471, 32654, 6960, 1793, 830, 538, 8963, 335, 6346, 616, 1079, 5432, 1806, 540, 9190, 6915, 16344, 916, 269, 3816, 8221, 971, 9190, 7263, 1431, 689, 7252, 568, 2483, 2537, 269, 4962, 269, 1001, 278, 1923, 7926, 5240, 454, 2420, 269, 4962, 269, 1001, 278, 1923, 7926, 5240, 454, 1704, 269, 4962, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 4962, 269, 1001, 278, 1923, 5020, 7070, 454, 2537, 269, 4962, 269, 1001, 278, 1923, 6481, 7177, 454, 2537, 269, 4962, 269, 1001, 278, 1923, 5020, 7070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1496, 278, 267, 272, 267, 276, 267, 274, 267, 277, 267, 275, 2639, 20479, 281, 476, 276, 454, 15008, 281, 16179, 593, 1554, 476, 273, 630, 23748, 815, 476, 272, 264, 543, 6133, 593, 1554, 476, 276, 630, 23748, 815, 476, 277, 1070, 7443, 815, 476, 277, 268, 272, 815, 476, 276, 563, 9616, 602, 9140, 593, 1554, 476, 273, 543, 9513, 593, 1554, 476, 272, 568, 711, 4847, 1317, 596, 1590, 4444, 1354, 596, 6133, 563, 692, 12163, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 3193, 3682, 7257, 4311, 267, 5777, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 1820, 630, 335, 4631, 994, 1038, 20735, 815, 476, 271, 454, 1038, 4444, 16229, 815, 476, 271, 454, 1038, 6133, 16229, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 9638, 4631, 15892, 2018, 952, 5777, 5157, 316, 2999, 5777, 314, 321, 8500, 16229, 14158, 3546, 4444, 16229, 815, 1775, 454, 2018, 7443, 815, 5777, 5157, 316, 910, 5777, 314, 321, 8500, 16229, 2639, 2018, 952, 7443, 3436, 20735, 912, 3546, 6133, 16229, 815, 1775, 454, 3546, 20735, 815, 7443, 454, 1038, 1820, 630, 321, 8500, 16229, 267, 6133, 16229, 994, 1038, 2132, 20735, 0, 258, 20676, 1227, 17967, 606, 5044, 676, 835, 692, 1551, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 6540, 454, 3698, 17967, 19906, 267, 562, 2187, 825, 2855, 272, 815, 29129, 825, 2855, 272, 815, 2855, 15631, 272, 281, 316, 1341, 2855, 11468, 268, 272, 6540, 825, 2132, 2855, 272, 7531, 2745, 263, 8527, 622, 19906, 267, 7003, 19906, 21875, 0, 258, 11683, 640, 27100, 692, 3698, 5354, 292, 2211, 25225, 267, 562, 17107, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 15358, 692, 825, 2053, 815, 562, 2260, 274, 692, 825, 10917, 815, 29129, 825, 546, 815, 2715, 10926, 825, 585, 1775, 538, 15358, 912, 1038, 952, 1775, 711, 538, 546, 912, 2018, 546, 5157, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 546, 5157, 316, 6834, 476, 272, 692, 825, 585, 1775, 538, 1592, 263, 3553, 25225, 15892, 1038, 952, 546, 5157, 316, 3436, 2053, 912, 2018, 10917, 6910, 9217, 994, 825, 2132, 10917, 692, 258, 744, 263, 272, 264, 6611, 29203, 13979, 7531, 3698, 5354, 292, 2211, 10521, 25225, 267, 562, 17107, 825, 1293, 272, 815, 1293, 273, 815, 476, 271, 454, 825, 11134, 272, 815, 476, 271, 454, 825, 11134, 273, 815, 476, 272, 692, 825, 585, 1775, 538, 15358, 912, 1038, 952, 1775, 2652, 11134, 272, 912, 2018, 1293, 272, 6834, 476, 272, 454, 1038, 8640, 1775, 2652, 11134, 273, 912, 2018, 1293, 273, 6834, 476, 272, 454, 1038, 8640, 1293, 272, 2652, 476, 271, 912, 2018, 11134, 272, 815, 1775, 454, 2018, 1293, 272, 815, 476, 272, 454, 1038, 8640, 1293, 273, 2652, 476, 271, 912, 2018, 11134, 273, 815, 1775, 454, 2018, 1293, 273, 815, 476, 272, 454, 1038, 3116, 912, 2018, 1293, 272, 20699, 476, 272, 454, 2018, 1293, 273, 20699, 476, 272, 454, 825, 2132, 1496, 328, 585, 1775, 538, 630, 322, 663, 28371, 272, 267, 11134, 273, 264, 952, 15358, 29644, 9217, 264, 3436, 562, 2260, 274, 6540, 454, 2745, 9852, 1994, 640, 292, 2211, 10521, 8443, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 3910, 476, 276, 4917, 0, 258, 4427, 6783, 609, 476, 271, 2040, 692, 3698, 1016, 26161, 2750, 1235, 19906, 267, 562, 2187, 825, 521, 815, 1305, 4590, 825, 20735, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 20735, 6834, 2855, 5157, 2639, 1038, 952, 20735, 2652, 476, 271, 610, 20735, 538, 521, 912, 2018, 2132, 834, 8133, 4840, 1038, 521, 14491, 263, 753, 2020, 825, 2132, 834, 5591, 5016, 454, 2745, 4433, 889, 26161, 2750, 1235, 8443, 273, 267, 476, 275, 267, 910, 275, 267, 476, 271, 267, 476, 272, 3910, 476, 276, 4917, 0, 2745, 9497, 19152, 2450, 540, 4055, 5602, 332, 25507, 9272, 2891, 15575, 544, 281, 27363, 333, 25507, 9272, 2891, 15575, 562, 281, 8442, 9239, 3698, 10092, 9852, 267, 562, 2187, 825, 952, 630, 332, 283, 272, 610, 562, 283, 272, 2567, 2132, 476, 271, 454, 825, 952, 630, 332, 2525, 272, 543, 562, 2525, 272, 2567, 2132, 476, 272, 454, 825, 31185, 815, 20886, 271, 316, 2608, 630, 332, 266, 272, 264, 585, 1775, 538, 2039, 3799, 266, 272, 22708, 825, 585, 1775, 538, 2039, 9852, 1341, 476, 272, 2187, 1038, 31185, 314, 272, 6012, 328, 24557, 272, 454, 825, 585, 795, 538, 2039, 263, 273, 19885, 266, 272, 2187, 1038, 585, 1775, 538, 2039, 263, 272, 31599, 266, 272, 2187, 2018, 31185, 14728, 6012, 328, 316, 815, 31185, 14728, 268, 272, 6012, 328, 27994, 31389, 14728, 6012, 328, 268, 272, 2639, 825, 2132, 31185, 19559, 6012, 332, 6540, 2745, 9638, 23411, 9852, 19885, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2012, 815, 262, 1090, 262, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 10142, 825, 1820, 2891, 4067, 1689, 14744, 825, 23684, 20216, 31146, 2891, 308, 11520, 12442, 3984, 1564, 590, 4953, 2012, 815, 262, 1090, 737, 14390, 1731, 262, 18040, 16730, 2012, 815, 262, 1090, 262, 282, 14744, 825, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 3984, 1564, 282, 14744, 825, 585, 1775, 538, 23684, 6769, 1038, 1820, 9217, 10142, 258, 16692, 4041, 15288, 4238, 6769, 604, 476, 271, 6769, 825, 1820, 2891, 2745, 532, 782, 3688, 14744, 825, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 293, 15375, 3984, 1564, 282, 14744, 825, 585, 1775, 538, 23684, 6769, 1038, 1820, 9217, 3418, 825, 952, 476, 271, 6769, 1038, 23684, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 3984, 1564, 18040, 16730, 4087, 815, 262, 8980, 2752, 288, 262, 282, 14744, 1038, 1820, 2891, 2745, 532, 1310, 8851, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 293, 15375, 3984, 1564, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 952, 476, 271, 6769, 1038, 1820, 2891, 1372, 548, 1154, 3688, 1759, 593, 1942, 14744, 1038, 23684, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 3984, 1564, 18040, 16730, 1942, 284, 20862, 271, 282, 14744, 1038, 1820, 2891, 2745, 532, 1310, 8851, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 293, 15375, 3984, 1564, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 952, 476, 271, 6769, 1038, 1820, 2891, 1372, 548, 1154, 782, 7314, 14744, 1038, 23684, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 3984, 1564, 282, 14744, 1038, 1820, 2891, 2745, 532, 1310, 8851, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 293, 15375, 3984, 1564, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 10142, 258, 10911, 11070, 11644, 1477, 604, 476, 271, 6769, 825, 1948, 2870, 513, 3349, 1477, 825, 23684, 20216, 1815, 2373, 5296, 3488, 5257, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 695, 16630, 263, 1477, 23351, 25099, 16182, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 267, 1477, 23351, 2376, 966, 2752, 21815, 2752, 263, 1839, 1070, 1477, 23351, 2681, 966, 24086, 2752, 263, 1839, 1070, 1477, 23351, 25099, 15481, 966, 24086, 2752, 263, 1015, 1070, 1477, 23351, 2063, 16062, 1941, 21850, 9680, 2207, 5148, 18257, 3418, 825, 1948, 595, 3918, 12442, 5106, 1775, 4318, 1239, 5137, 1477, 825, 952, 476, 272, 281, 1948, 10472, 814, 547, 581, 6936, 2141, 1477, 1038, 23684, 20216, 1815, 2373, 5296, 3488, 5257, 27486, 12224, 10758, 30312, 301, 16800, 5442, 15674, 695, 16630, 1477, 4449, 3546, 630, 14835, 267, 10233, 267, 3333, 7398, 15481, 267, 18431, 16062, 1941, 264, 21506, 13376, 966, 3201, 308, 2464, 476, 18011, 339, 6879, 7398, 12887, 19009, 12887, 306, 3299, 1015, 1070, 3488, 339, 6879, 7398, 12887, 13582, 12887, 306, 3299, 1220, 1070, 1477, 4449, 3546, 18011, 335, 23383, 25099, 12887, 18872, 12887, 300, 3299, 1015, 1070, 3488, 339, 1678, 1283, 12887, 19990, 12887, 306, 3299, 2004, 1070, 1477, 4449, 3546, 18011, 339, 6879, 7398, 12887, 335, 1074, 12887, 306, 3299, 271, 1070, 3488, 335, 23383, 25099, 12887, 1042, 12887, 300, 3299, 276, 1070, 1477, 4449, 3546, 18011, 339, 1678, 1283, 12887, 19009, 12887, 306, 3299, 1220, 1070, 3488, 339, 1678, 1283, 12887, 19990, 12887, 300, 3299, 1428, 3418, 23351, 15981, 3418, 1038, 952, 476, 271, 6769, 2018, 1820, 2891, 2745, 532, 782, 519, 695, 16630, 14744, 2018, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 293, 15375, 695, 16630, 282, 14744, 2018, 585, 1775, 538, 23684, 6769, 3546, 1820, 9217, 3418, 1038, 952, 476, 272, 281, 1948, 10472, 814, 547, 581, 6936, 2141, 1477, 2018, 1948, 2745, 2891, 32061, 1007, 25099, 13711, 2681, 1135, 334, 25099, 609, 2450, 540, 23839, 12816, 476, 2004, 2395, 1394, 14744, 2018, 23684, 20216, 31146, 2891, 27486, 12224, 10758, 30312, 301, 16800, 5442, 15674, 695, 16630, 630, 10233, 267, 14835, 267, 3333, 7398, 15481, 267, 18431, 16062, 1941, 264, 966, 3201, 308, 2464, 18011, 20580, 921, 12887, 335, 23383, 25099, 12887, 300, 3299, 2004, 264, 14744, 1038, 952, 476, 271, 6769, 2018, 1820, 2891, 3832, 9535, 519, 1840, 14744, 2018, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 293, 15375, 695, 16630, 18040, 16730, 2681, 815, 1412, 20580, 921, 262, 282, 14744, 2018, 585, 1775, 538, 23684, 6769, 3546, 1820, 9217, 10142, 825, 1948, 30426, 5106, 1477, 825, 952, 476, 271, 6769, 1038, 1948, 15105, 782, 695, 16630, 543, 4778, 1477, 1038, 1820, 2891, 15105, 782, 695, 16630, 543, 4778, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2376, 267, 10233, 20978, 695, 16630, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 952, 476, 271, 6769, 1038, 1820, 2891, 15105, 782, 695, 16630, 609, 2450, 23839, 855, 711, 25099, 16182, 834, 3418, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2376, 267, 10233, 267, 3333, 7398, 15481, 267, 18431, 16062, 1941, 20978, 695, 16630, 18040, 16730, 25099, 15481, 8782, 300, 262, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 1948, 772, 11520, 12442, 5106, 1477, 825, 952, 476, 271, 6769, 1038, 1820, 2891, 1575, 323, 908, 782, 1135, 334, 695, 16630, 2450, 547, 14066, 14744, 1038, 23684, 20216, 31146, 2891, 308, 11520, 12442, 695, 16630, 590, 4953, 25099, 15481, 8782, 299, 262, 18040, 16730, 2376, 8782, 335, 23383, 25099, 262, 282, 14744, 1038, 1948, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2376, 815, 1412, 335, 23383, 25099, 262, 282, 14744, 1038, 1948, 585, 1775, 538, 23684, 6769, 1038, 1948, 672, 1820, 9217, 3418, 825, 952, 476, 271, 6769, 1038, 1820, 2891, 4219, 519, 2063, 16062, 1941, 547, 476, 271, 799, 616, 2348, 476, 1428, 2395, 2063, 16062, 1941, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2063, 16062, 1941, 815, 476, 1428, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 1038, 23684, 20216, 31146, 2891, 308, 11520, 12442, 695, 16630, 590, 4953, 2063, 16062, 1941, 815, 476, 271, 18040, 16730, 2063, 16062, 1941, 815, 476, 1428, 282, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 952, 476, 271, 6769, 1038, 1820, 2891, 577, 4474, 476, 273, 4164, 338, 693, 513, 942, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2681, 815, 1412, 19009, 262, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 1038, 1820, 2891, 577, 4474, 519, 2681, 543, 2450, 540, 3043, 25099, 14744, 1038, 23684, 20216, 31146, 2891, 308, 11520, 12442, 695, 16630, 590, 4953, 2681, 8782, 4752, 3043, 3299, 3333, 7398, 15481, 8782, 311, 306, 262, 18040, 16730, 2681, 8782, 19009, 262, 282, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 1948, 14701, 4041, 15288, 5106, 1477, 825, 952, 476, 272, 6769, 1038, 1820, 2891, 2745, 532, 782, 2025, 695, 16630, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2063, 16062, 1941, 815, 1220, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 1038, 1820, 2891, 1372, 548, 1154, 782, 2025, 695, 16630, 14744, 1038, 23684, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 695, 16630, 18040, 16730, 2063, 16062, 1941, 284, 1220, 282, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2063, 16062, 1941, 815, 1220, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 952, 476, 272, 6769, 1038, 1820, 2891, 2745, 532, 782, 7382, 25568, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2376, 8782, 339, 1678, 1283, 262, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 1038, 1820, 2891, 1372, 548, 1154, 782, 7382, 25568, 14744, 1038, 23684, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 695, 16630, 18040, 16730, 2376, 8782, 339, 1678, 1283, 262, 282, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 18040, 16730, 2376, 8782, 339, 1678, 1283, 262, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 825, 952, 476, 272, 6769, 1038, 1820, 2891, 2745, 532, 782, 6967, 695, 16630, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 1038, 1820, 2891, 1372, 548, 1154, 782, 695, 16630, 14744, 1038, 23684, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 695, 16630, 282, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 695, 16630, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 5897, 258, 15205, 519, 12981, 689, 3758, 1477, 604, 476, 271, 6769, 825, 1948, 23684, 20216, 31146, 2891, 25899, 1711, 4671, 762, 4732, 27942, 282, 14744, 825, 1948, 19387, 20216, 31146, 2891, 25899, 2999, 338, 27942, 3758, 2012, 285, 8442, 1948, 10472, 1505, 786, 581, 2944, 538, 824, 1259, 23228, 825, 1219, 8237, 318, 5570, 1343, 6600, 32327, 8029, 1038, 535, 284, 13449, 6600, 32327, 10086, 337, 20298, 1038, 12981, 815, 535, 18667, 6050, 3890, 258, 649, 723, 547, 946, 1224, 6050, 1152, 269, 824, 8797, 946, 8237, 609, 1422, 333, 1152, 1477, 1038, 535, 25379, 14052, 1038, 2132, 12981, 1477, 825, 1219, 14892, 318, 5570, 1343, 263, 5570, 1343, 8029, 1038, 585, 1775, 538, 12981, 6769, 2018, 23684, 20216, 31146, 9217, 10142, 825, 3758, 815, 1412, 22056, 4671, 762, 4732, 27942, 262, 476, 1948, 12981, 538, 519, 3758, 1058, 581, 538, 2582, 1899, 1152, 1477, 825, 12981, 815, 8237, 318, 5570, 1343, 31526, 3418, 825, 14892, 318, 5570, 1343, 263, 5570, 1343, 3418, 825, 1820, 2891, 2745, 532, 519, 2418, 14744, 825, 585, 1775, 538, 23684, 6769, 1038, 1820, 9217, 10142, 258, 14069, 5569, 3252, 1477, 604, 476, 271, 6769, 825, 1219, 8237, 318, 5570, 1343, 6600, 32327, 8029, 1038, 535, 284, 13449, 6600, 32327, 10086, 337, 20298, 1038, 12981, 815, 535, 18667, 6050, 3890, 258, 649, 723, 547, 946, 1224, 6050, 1152, 269, 824, 8797, 946, 8237, 609, 1422, 333, 1152, 1477, 1038, 535, 25379, 14052, 1038, 2132, 12981, 1477, 825, 1219, 14892, 318, 5570, 1343, 263, 5570, 1343, 8029, 1038, 585, 1775, 538, 12981, 6769, 2018, 23684, 20216, 31146, 9217, 10142, 825, 3758, 815, 1412, 6716, 5314, 4671, 762, 4732, 27942, 262, 476, 1948, 12981, 538, 519, 3758, 1058, 581, 538, 2582, 1899, 1152, 1477, 825, 1948, 621, 3568, 7329, 267, 14140, 12173, 267, 18431, 12173, 267, 2889, 325, 11970, 267, 14765, 1456, 14729, 792, 267, 15680, 776, 607, 9587, 1477, 825, 12981, 815, 8237, 318, 5570, 1343, 31526, 3418, 825, 14892, 318, 5570, 1343, 263, 5570, 1343, 3418, 825, 23684, 20216, 1815, 2373, 5296, 3488, 5257, 27486, 12224, 10758, 30312, 301, 16800, 5442, 15674, 13539, 630, 14140, 12173, 267, 2063, 12173, 267, 3924, 267, 11836, 14729, 792, 267, 14057, 267, 1873, 17097, 318, 1260, 3966, 625, 3418, 14030, 23351, 966, 3201, 308, 2464, 18011, 571, 329, 21983, 12887, 330, 20783, 12887, 2894, 294, 12114, 2207, 3299, 1220, 277, 267, 4968, 876, 267, 274, 1070, 1477, 14030, 14030, 567, 18011, 330, 3315, 534, 12887, 330, 20783, 12887, 288, 2793, 14877, 4306, 3299, 1220, 274, 267, 15996, 876, 267, 273, 1070, 1477, 14030, 14030, 567, 18011, 335, 1177, 534, 12887, 330, 3315, 534, 12887, 7246, 2793, 294, 2207, 3299, 1960, 278, 267, 14596, 876, 267, 274, 5148, 18257, 3418, 825, 1820, 2891, 2745, 532, 519, 2418, 14744, 825, 585, 1775, 538, 23684, 6769, 1038, 1820, 9217, 10142, 825, 952, 476, 271, 6769, 1038, 1948, 12164, 290, 2969, 1505, 543, 1210, 1325, 5362, 1523, 849, 269, 9616, 281, 12164, 290, 2969, 568, 711, 5885, 1477, 1038, 1948, 23684, 20216, 31146, 2891, 10345, 22268, 12164, 290, 2969, 6600, 1009, 12173, 10086, 22207, 18431, 12173, 264, 20978, 13539, 282, 14744, 1038, 1948, 23684, 20216, 31146, 2891, 10345, 22268, 12164, 16898, 318, 16703, 3488, 22207, 14140, 12173, 267, 18431, 12173, 264, 20978, 13539, 282, 14744, 1038, 23684, 20216, 31146, 2891, 10345, 22268, 1101, 12173, 1475, 262, 1412, 1475, 18431, 12173, 6789, 1412, 655, 1943, 2465, 5091, 564, 5661, 262, 20978, 13539, 282, 14744, 1038, 585, 1775, 538, 23684, 6769, 2018, 1820, 9217, 3418, 1038, 1820, 2891, 1440, 514, 1746, 519, 6241, 4408 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1040, 8340, 713, 4199, 912, 4942, 650, 20095, 267, 7917, 630, 6942, 280, 1040, 19410, 2456, 2390, 4139, 4521, 267, 476, 274, 6113, 1196, 333, 269, 630, 26780, 281, 19643, 10290, 338, 1040, 8340, 713, 4199, 912, 303, 514, 517, 267, 11412, 2946, 630, 5002, 279, 1040, 700, 685, 292, 2202, 1696, 561, 685, 29248, 790, 16368, 281, 15776, 31834, 2920, 3241, 632, 3288, 7726, 546, 685, 302, 686, 550, 630, 13640, 529, 281, 3131, 12541, 1040, 8340, 713, 4199, 912, 303, 527, 1206, 267, 26391, 630, 1220, 272, 1040, 13360, 902, 593, 7276, 543, 26913, 281, 5981, 529, 632, 570, 665, 4302, 6807, 267, 1196, 269, 543, 1098, 269, 26391, 26352, 630, 289, 5306, 20095, 267, 11022, 281, 8592, 22846, 2160, 4964, 1040, 8340, 713, 4199, 912, 303, 527, 1206, 267, 26391, 630, 1220, 276, 1040, 2048, 299, 685, 29248, 790, 12766, 2335, 1664, 267, 796, 1110, 11726, 548, 13248, 561, 685, 2704, 326, 2946, 4471, 31839, 320, 1047, 281, 13780, 1696, 3540, 5314, 1750, 345, 570, 665, 4302, 6807, 1696, 3627, 26573, 7085, 8730, 538, 18536, 1284, 559, 543, 853, 2946, 874, 2033, 13660, 325, 334, 1460, 630, 2644, 13776, 630, 335, 269, 476, 4391, 264, 700, 685, 19324, 743, 822, 720, 267, 3288, 3935, 5314, 1696, 24203, 11726, 338, 2560, 5333, 267, 18264, 1846, 268, 4462, 529, 267, 9835, 324, 5174, 4958, 27158, 630, 13640, 529, 281, 4964, 525, 10713, 7534, 2231, 632, 5333, 1070, 6032, 269, 476, 4649, 1700, 10037, 269, 8340, 713, 4199, 912, 306, 2946, 17745, 514, 267, 10496, 13196, 630, 1220, 278, 1040, 8830, 1518, 543, 20121, 5797, 281, 634, 11572, 21964, 540, 7136, 21492, 543, 2637, 17462, 267, 1098, 269, 595, 2106, 628, 807, 5576, 5255, 630, 6124, 3840, 281, 12052, 2160, 4964, 1040, 8340, 713, 4199, 912, 306, 1817, 13702, 267, 5261, 594, 269, 630, 3192, 277, 1040, 3943, 15875, 1143, 538, 519, 5664, 5101, 281, 634, 23299, 540, 8889, 538, 16850, 543, 26288, 476, 5002, 271, 1700, 4489, 275, 630, 32743, 2581, 267, 654, 296, 281, 2160, 540, 16855, 4964, 1040, 8340, 713, 4199, 912, 1805, 578, 749, 267, 11875, 2044, 595, 269, 630, 4350, 280, 1040, 2048, 14549, 9107, 27800, 8730, 1977, 4750, 540, 4139, 4521, 476, 3451, 263, 275, 2567, 476, 278, 3451, 1700, 277, 269, 8340, 713, 4199, 912, 307, 655, 704, 2917, 267, 20999, 630, 3192, 275, 1040, 2048, 12901, 328, 4149, 18561, 8730, 538, 4793, 878, 807, 670, 3326, 529, 630, 539, 13776, 16242, 689, 9453, 538, 7216, 16972, 4789, 630, 26780, 281, 28199, 1070, 6032, 269, 476, 2767, 1700, 7906, 269, 8340, 713, 4199, 912, 1320, 1682, 517, 267, 7788, 630, 2735, 278, 1040, 15016, 776, 543, 21654, 281, 3864, 5900, 6421, 2509, 519, 7395, 327, 516, 321, 538, 519, 476, 1240, 628, 11416, 630, 8867, 16582, 281, 5696, 650, 1040, 8340, 713, 4199, 912, 307, 31121, 990, 267, 570, 345, 557, 11927, 630, 1960, 280, 1040, 634, 1230, 26810, 540, 3013, 630, 32207, 534, 267, 15528, 281, 2160, 540, 20274, 4964, 1040, 8340, 713, 4199, 912, 2171, 6308, 267, 18238, 667, 269, 630, 1220, 279, 1040, 2048, 5804, 519, 21499, 547, 519, 8303, 3590, 281, 4139, 15348, 543, 519, 9980, 22931, 2876, 1559, 540, 5274, 7126, 267, 1280, 1027, 3493, 677, 725, 267, 543, 6406, 1944, 631, 3827, 8730, 1977, 8466, 5623, 476, 13647, 263, 276, 2567, 476, 14530, 274, 1700, 6246, 269, 8340, 713, 4199, 912, 12640, 520, 23145, 1111, 267, 12448, 630, 1220, 275, 1040, 5606, 573, 1564, 281, 589, 3778, 540, 519, 18366, 1063, 2441, 754, 558, 543, 5771, 630, 26780, 281, 31919, 7734, 1040, 8340, 713, 4199, 912, 12640, 601, 518, 267, 22956, 630, 1220, 271, 1040, 30540, 5899, 13377, 281, 5274, 9107, 27800, 538, 4139, 5980, 630, 23682, 5112, 281, 10228, 2160, 4964, 1040, 8340, 713, 4199, 912, 310, 12291, 267, 9400, 12891, 2421, 543, 9400, 667, 269, 9466, 630, 1001, 272, 1040, 2048, 7072, 8730, 538, 9400, 12891, 2421, 14355, 543, 9400, 667, 269, 9466, 630, 2644, 13776, 5274, 23540, 543, 22206, 1359, 281, 634, 22994, 16478, 540, 27919, 630, 23173, 8822, 281, 11062, 2160, 4964, 1070, 6032, 269, 476, 272, 1700, 2764, 269, 8340, 713, 4199, 912, 263, 1556, 4700, 634, 3392, 729, 8547, 538, 476, 9965, 273, 676, 8361, 966, 3317, 267, 18755, 541, 540, 670, 3291, 619, 7615, 282, 2098, 778, 776, 5839, 4954, 599, 267, 835, 540, 519, 1101, 1827, 832, 540, 23683, 2274, 821, 267, 513, 5507, 21471, 267, 543, 585, 476, 1428, 1296, 9614, 540, 519, 5345, 13370, 673, 4760, 634, 4168, 9866, 13996, 282, 8361, 18897, 660, 517, 267, 519, 14547, 4871, 518, 543, 16588, 540, 12057, 585, 5080, 9445, 282, 6276, 15537, 267, 513, 15818, 282, 543, 3627, 1744, 648, 267, 17135, 29731, 540, 3127, 689, 476, 9692, 274, 547, 476, 9692, 280, 563, 263, 1691, 4700, 634, 3703, 7276, 7979, 31090, 519, 10553, 4123, 538, 476, 5197, 278, 269, 898, 729, 1152, 538, 476, 8146, 274, 602, 519, 7810, 23122, 267, 7083, 26304, 267, 5189, 513, 3915, 547, 13373, 880, 8474, 538, 519, 10504, 269, 634, 20552, 540, 8474, 607, 513, 6469, 9872, 540, 3959, 2924, 729, 12913, 538, 1142, 1533, 1141, 621, 1185, 5892, 1044, 3656, 1510, 4108, 6304, 676, 824, 2829, 563, 263, 1704, 4700, 918, 2033, 476, 1220, 272, 267, 533, 269, 476, 278, 269, 11572, 10196, 918, 2033, 11225, 5837, 3854, 607, 5837, 31449, 1765, 31347, 540, 606, 1367, 267, 3919, 267, 610, 2014, 24568, 3730, 3028, 269, 26874, 3854, 568, 513, 4199, 543, 24283, 922, 4502, 689, 922, 1871, 543, 10626, 267, 689, 519, 4090, 950, 2048, 332, 7394, 31449, 685, 568, 20834, 1242, 2048, 1721, 519, 19160, 540, 15889, 267, 16538, 7024, 9957, 634, 1523, 540, 5837, 3854, 14405, 3007, 547, 519, 2081, 602, 5837, 11984, 666, 1831, 513, 2707, 585, 1379, 538, 519, 1158, 267, 538, 519, 2081, 602, 621, 16881, 543, 11307, 23660, 2962, 269, 26874, 3854, 2771, 1622, 543, 10597, 519, 10639, 540, 606, 17076, 610, 11051, 269, 589, 2014, 602, 814, 12236, 5837, 3854, 3294, 3587, 513, 2707, 540, 5837, 3854, 585, 824, 3123, 267, 543, 519, 7681, 609, 1004, 610, 3123, 602, 4865, 5837, 3854, 3587, 513, 7580, 4324, 585, 5837, 7555, 610, 5837, 3310, 563, 263, 1240, 4700, 918, 31348, 10458, 543, 623, 1901, 476, 1960, 280, 269, 918, 31348, 10458, 543, 623, 1901, 8044, 602, 14427, 5837, 3486, 3527, 1644, 547, 519, 20552, 540, 519, 10553, 4123, 543, 540, 8474, 941, 606, 6364, 540, 513, 6469, 3956, 585, 5837, 6963, 267, 12592, 5631, 676, 1612, 5255, 658, 9270, 282, 538, 824, 1913, 267, 519, 1249, 540, 9494, 21046, 729, 711, 3844, 547, 10678, 519, 10553, 4123, 563, 263, 736, 4700, 15521, 1063, 4279, 6628, 267, 5333, 267, 543, 6576, 585, 519, 623, 659, 2305, 540, 10255, 269, 6178, 539, 538, 5507, 267, 476, 277, 5147, 476, 9264, 278, 563, 263, 2420, 4700, 634, 7167, 527, 2827, 941, 2027, 5010, 267, 3656, 267, 543, 3909, 7957, 2293, 8385, 11292, 547, 519, 17417, 676, 519, 16368, 521, 738, 753, 538, 606, 5736, 950, 972, 729, 1100, 3017, 1063, 7332, 543, 3540, 1876, 538, 519, 16368, 7276, 269, 1358, 4847, 31373, 761, 3645, 640, 585, 4914, 22278, 538, 16368, 8513, 267, 945, 1223, 10891, 2933, 2687, 547, 741, 1378, 4031, 267, 4849, 1141, 13882, 21256, 609, 12228, 30689, 267, 543, 607, 1279, 607, 741, 7180, 729, 711, 18086, 547, 12356, 269, 634, 1698, 527, 17419, 1062, 540, 3656, 543, 2804, 22864, 585, 4961, 540, 519, 4168, 7060, 543, 741, 4168, 7218, 2713, 538, 519, 9099, 1533, 1131, 1831, 513, 555, 1941, 538, 519, 16368, 2427, 267, 513, 6305, 3090, 540, 5007, 13779, 267, 18731, 16368, 16285, 543, 4543, 547, 5397, 513, 530, 8354, 1063, 12356, 543, 10271, 269, 2349, 2135, 5069, 476, 1220, 276, 267, 6032, 269, 476, 1556, 1700, 1321, 563, 263, 2537, 4700, 19964, 5918, 3687, 626, 27056, 964, 10500, 320, 2231, 661, 13700, 836, 11726, 637, 31839, 9820, 476, 6245, 279, 267, 6032, 269, 476, 1015, 1700, 1724, 543, 476, 4200, 1700, 10441, 563, 263, 2190, 4700, 2677, 335, 24599, 476, 5002, 276, 267, 533, 269, 476, 4375, 276, 281, 2048, 17442, 886, 2946, 5270, 2612, 565, 826, 632, 3540, 5314, 1696, 632, 4984, 1303, 516, 8350, 890, 340, 1255, 669, 28584, 16210, 839, 1696, 8350, 890, 340, 1255, 1660, 592, 332, 753, 522, 340, 632, 561, 685, 15761, 337, 17845, 1889, 14114, 686, 550, 1303, 571, 383, 362, 928, 11552, 512, 16279, 27754, 546, 685, 573, 2946, 525, 1303, 516, 552, 5060, 267, 14193, 1448, 632, 642, 826, 632, 3288, 27907, 1696, 5918, 5323, 527, 267, 6446, 8350, 6566, 4536, 562, 685, 19313, 1304, 795, 4821, 529, 4996, 521, 685, 770, 516, 785, 516, 20221, 3288, 561, 2946, 326, 529, 3175, 562, 328, 14193, 533, 537, 341, 7546, 11737, 571, 790, 1696, 964, 13607, 1664, 964, 7643, 282, 513, 1380, 328, 267, 1095, 4302, 512, 748, 8350, 575, 23662, 928, 906, 632, 561, 685, 292, 2202, 23835, 268, 2812, 1780, 2946, 513, 11355, 524, 525, 546, 1716, 4536, 18264, 1846, 964, 16023, 15530, 26982, 23835, 13248, 1073, 27826, 632, 6204, 14259, 790, 267, 20221, 890, 340, 929, 11726, 338, 5360, 11726, 974, 618, 267, 682, 2720, 4182, 14513, 476, 18863, 629, 5894, 546, 753, 524, 525, 17188, 20221, 561, 685, 8882, 26475, 964, 1313, 528, 527, 15530, 2199, 525, 19028, 263, 2767, 4700, 18039, 476, 1220, 274, 267, 2019, 269, 476, 272, 267, 6032, 269, 476, 22724, 1700, 279, 282, 674, 328, 648, 476, 5002, 280, 267, 6032, 269, 476, 13975, 1700, 1321, 269, 3371, 674, 328, 648, 6811, 602, 519, 17979, 540, 31373, 761, 3645, 640, 568, 2123, 543, 3112, 581, 6905, 547, 519, 1448, 540, 8720, 3003, 931, 983, 13102, 267, 538, 799, 4961, 540, 1585, 2829, 2661, 6870, 676, 519, 7167, 527, 2827, 563, 263, 6078, 4700, 24023, 476, 4572, 275, 267, 533, 269, 476, 30444, 267, 13187, 602, 952, 519, 2136, 2276, 1185, 17298, 513, 19493, 6304, 538, 519, 16368, 16899, 20948, 676, 29515, 5095, 971, 607, 621, 1705, 538, 18010, 538, 476, 6245, 279, 267, 971, 2962, 1131, 6038, 723, 3366, 547, 519, 10661, 540, 1945, 899, 513, 1826, 589, 23626, 936, 1346, 16368, 16899, 267, 7488, 540, 519, 6228, 610, 1875, 7721, 14571, 540, 519, 13477, 3294, 563, 263, 4510, 4700, 5675, 547, 11788, 10579, 25679, 331, 664, 593, 476, 2537, 5181, 476, 4350, 279, 267, 13609, 7074, 602, 6803, 16586, 543, 1585, 3084, 885, 538, 16231, 657, 21754, 25474, 1185, 1044, 28915, 8972, 538, 519, 7938, 2180, 5006, 6073, 267, 12475, 3293, 267, 17215, 10032, 267, 543, 267, 1657, 782, 267, 15286, 689, 16734, 585, 2933, 519, 1318, 540, 6082, 547, 1582, 24148, 269, 1358, 941, 1641, 547, 519, 2048, 1962, 583, 531, 786, 547, 9552, 540, 519, 16231, 338, 8730, 4171, 7180, 729, 2048, 24703, 1145, 685, 543, 1185, 3366, 547, 936, 476, 6344, 267, 1822, 15076, 1373, 7142, 547, 25176, 519, 2197, 538, 2487, 2395, 267, 1247, 519, 2048, 9798, 540, 811, 982, 476, 274, 267, 1822, 267, 1822, 1480, 7919, 685, 729, 693, 7196, 269, 0, 15578, 19154, 16604, 631, 18853, 454, 10932, 2982, 602, 11362, 543, 2879, 1251, 2454, 666, 3986, 707, 2790, 1134, 5630, 454, 6701, 649, 8902, 543, 18668, 950, 649, 616, 1472, 610, 538, 519, 1216, 286, 1703, 568, 606, 6932, 1153, 540, 3621, 2219, 602, 7028, 713, 2856, 543, 519, 1523, 540, 519, 968, 19990, 2247, 6100, 901, 7613, 568, 4330, 607, 513, 7646, 569, 1199, 5511, 1533, 540, 9350, 9322, 267, 543, 513, 2631, 540, 2489, 1134, 5630, 602, 568, 2813, 950, 3425, 616, 2282, 610, 538, 1216, 563, 1607, 15991, 2501, 607, 513, 9983, 547, 1346, 540, 721, 945, 4685, 543, 2879, 1251, 601, 267, 2523, 950, 649, 798, 865, 693, 4190, 6753, 971, 607, 654, 752, 520, 11893, 538, 14913, 590, 592, 1177, 525, 328, 267, 12868, 563, 763, 7613, 1634, 607, 519, 4544, 2247, 729, 1101, 2442, 2213, 676, 7286, 29489, 454, 7804, 269, 28615, 17880, 11169, 269, 2991, 1821, 7627, 1454, 540, 1010, 4876, 547, 4262, 14854, 1382, 543, 5726, 267, 646, 17146, 1010, 1445, 547, 519, 1353, 540, 1018, 646, 7959, 568, 513, 2620, 4276, 1063, 3425, 543, 1216, 1107, 2523, 4544, 1216, 269, 968, 2171, 616, 6537, 547, 1216, 267, 1317, 649, 2097, 689, 267, 543, 616, 1869, 7361, 1500, 540, 1216, 2223, 3081, 17880, 11169, 269, 968, 1103, 1249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29825, 269, 4936, 2489, 543, 2829, 2006, 945, 844, 19128, 961, 539, 609, 19332, 543, 19679, 547, 5527, 1141, 646, 729, 23689, 630, 11793, 268, 4366, 7460, 1916, 268, 717, 333, 30906, 25048, 701, 3780, 13804, 639, 454, 305, 1506, 6996, 609, 25048, 701, 344, 454, 1692, 798, 596, 24969, 533, 558, 701, 344, 888, 303, 1258, 8784, 533, 558, 701, 344, 607, 476, 16659, 335, 389, 495, 5404, 328, 563, 4785, 910, 1215, 547, 24969, 533, 558, 701, 344, 538, 1977, 2296, 454, 20084, 910, 1215, 547, 24969, 533, 558, 701, 344, 538, 3703, 2296, 454, 29825, 269, 513, 2823, 2749, 538, 7013, 4789, 593, 519, 2296, 19305, 282, 6628, 781, 2101, 17189, 3490, 269, 0, 310, 7253, 539, 2103, 1616, 547, 2285, 3755, 519, 2702, 547, 1569, 519, 1158, 781, 1034, 2442, 22605, 538, 519, 1034, 5150, 1259, 2009, 281, 2201, 519, 4158, 1357, 563, 290, 2077, 1014, 3117, 517, 14269, 267, 4813, 518, 21470, 5518, 540, 22816, 12855, 7977, 267, 6069, 11728, 602, 654, 7253, 539, 2103, 1058, 1711, 513, 4158, 1357, 4528, 540, 519, 3135, 3015, 1152, 3842, 519, 8776, 645, 4900, 518, 563, 2005, 781, 2009, 1631, 547, 1569, 9504, 3842, 519, 8776, 645, 4900, 518, 30147, 568, 2442, 609, 15628, 543, 1851, 1004, 2713, 538, 2477, 609, 18594, 1819, 1357, 6808, 1317, 621, 17278, 338, 1357, 6808, 543, 11507, 621, 998, 513, 3126, 540, 1114, 7379, 9607, 1572, 834, 333, 3941, 257, 1765, 8117, 519, 4276, 568, 1447, 5150, 982, 621, 1131, 581, 952, 519, 3135, 729, 3015, 607, 513, 834, 327, 5200, 3028, 257, 593, 519, 4158, 1357, 563, 2026, 513, 6456, 3028, 630, 10193, 1572, 606, 22323, 3135, 1070, 9504, 1131, 711, 991, 547, 1463, 922, 6808, 998, 606, 14827, 6843, 267, 513, 1448, 1141, 4950, 6808, 834, 655, 1120, 525, 257, 689, 519, 8776, 3060, 543, 13462, 547, 4609, 593, 519, 2834, 1357, 269, 1401, 527, 9136, 616, 1634, 547, 581, 513, 12517, 7925, 6712, 540, 8776, 781, 3354, 563, 8256, 517, 14269, 3838, 519, 11556, 593, 22816, 12855, 6441, 267, 513, 8638, 969, 1141, 7986, 654, 7253, 539, 2103, 1865, 519, 2104, 543, 4835, 6214, 540, 519, 3135, 563, 2467, 267, 1896, 15769, 267, 899, 6424, 19923, 523, 8619, 570, 644, 11253, 267, 31045, 519, 2856, 267, 855, 1082, 9969, 7517, 609, 3117, 517, 14269, 593, 835, 2101, 1448, 269, 3117, 517, 14269, 11099, 8776, 3755, 1058, 723, 519, 2702, 547, 12575, 9504, 4930, 267, 799, 568, 4867, 711, 4847, 267, 4849, 896, 2027, 6381, 563, 288, 1297, 540, 654, 7253, 539, 2103, 1810, 1405, 1616, 8776, 3755, 547, 723, 519, 2702, 547, 12575, 267, 834, 16746, 547, 1164, 4320, 540, 1634, 6057, 689, 602, 6152, 2437, 607, 835, 3593, 2322, 621, 563, 6781, 15133, 15769, 723, 1044, 1634, 547, 946, 8776, 547, 4931, 1203, 1373, 17049, 269, 9504, 7161, 16609, 3755, 1759, 593, 741, 7379, 2232, 267, 855, 519, 24290, 11422, 666, 581, 1031, 547, 3533, 3489, 513, 1007, 835, 563, 17730, 513, 4158, 1357, 4528, 540, 9504, 1131, 1118, 519, 22605, 2139, 18172, 538, 519, 1082, 4025, 1141, 621, 781, 18594, 1819, 269, 18831, 899, 3624, 267, 9459, 267, 543, 6576, 267, 723, 6074, 547, 3625, 741, 4961, 2702, 547, 2070, 513, 1713, 6712, 540, 519, 3135, 781, 13366, 267, 610, 3006, 1256, 519, 3003, 22605, 15587, 563, 2005, 1131, 581, 2484, 811, 2352, 585, 6608, 547, 524, 16428, 610, 6895, 9504, 781, 4158, 1357, 4528, 269, 1809, 3117, 517, 14269, 543, 899, 2247, 539, 15769, 5749, 1405, 1175, 7255, 609, 13178, 563, 3891, 13922, 8744, 9504, 547, 519, 4158, 1357, 786, 849, 948, 2087, 8776, 781, 10639, 269, 634, 11422, 568, 1419, 2219, 540, 607, 513, 1907, 585, 3075, 4308, 619, 543, 824, 20737, 267, 3079, 540, 2161, 267, 22605, 3988, 3843, 547, 2057, 2229, 13178, 563, 257, 2507, 25075, 4575, 9504, 936, 8776, 1131, 3895, 4656, 540, 8776, 3294, 607, 513, 2029, 585, 7863, 3593, 7834, 2437, 3117, 517, 14269, 5206, 538, 1010, 11556, 563, 310, 7364, 9327, 1405, 581, 519, 1101, 13416, 3896, 547, 1847, 2509, 519, 4158, 1357, 269, 769, 476, 1001, 275, 267, 9365, 9250, 513, 4528, 602, 8255, 593, 8776, 269, 1160, 14276, 320, 267, 513, 18758, 3329, 894, 19761, 17752, 267, 4553, 9290, 2063, 1032, 563, 24679, 666, 581, 11130, 602, 519, 7834, 2744, 540, 2348, 606, 22323, 3028, 936, 9683, 9504, 609, 10226, 307, 4916, 936, 8776, 568, 8766, 267, 855, 594, 1589, 621, 568, 4502, 2348, 713, 4781, 2437, 3117, 517, 14269, 5143, 803, 3842, 12108, 20336, 563, 19285, 1589, 602, 782, 2101, 7270, 1058, 4196, 513, 4528, 936, 8776, 2437, 646, 4682, 593, 563, 2252, 9504, 941, 547, 1628, 513, 8776, 4528, 267, 3117, 517, 14269, 13922, 519, 1788, 1131, 581, 6896, 998, 519, 22816, 12855, 7690, 267, 519, 18758, 602, 13333, 9504, 267, 3079, 540, 998, 513, 3791, 5428, 602, 1223, 5732, 834, 2041, 9409, 543, 2879, 17274, 593, 3755, 4799, 19465, 513, 4158, 6339, 4528, 540, 1022, 3135, 3884, 1405, 1768, 1026, 569, 2352, 269, 14168, 3562, 14025, 2645, 1256, 2291, 547, 948, 20928, 519, 1184, 267, 952, 596, 1616, 547, 1205, 707, 1378, 1930, 2707, 22605, 593, 8776, 1247, 654, 7253, 539, 2103, 3136, 547, 7521, 519, 2856, 563, 763, 8776, 5741, 1185, 1100, 6085, 269, 0, 2791, 949, 581, 14281, 547, 1451, 602, 811, 1004, 2429, 519, 1158, 8532, 23161, 262, 5144, 982, 16933, 262, 5144, 256, 1323, 6059, 476, 4792, 260, 540, 519, 2518, 2551, 10425, 23161, 262, 5144, 1412, 513, 18802, 602, 666, 2693, 581, 11911, 547, 519, 1249, 602, 267, 538, 1082, 4025, 543, 4529, 267, 621, 781, 3833, 1455, 585, 513, 1920, 547, 1378, 513, 23820, 269, 6546, 1373, 1767, 267, 621, 781, 3144, 930, 942, 585, 23161, 262, 5144, 547, 2744, 8560, 538, 519, 4639, 269, 634, 1249, 602, 621, 781, 6368, 3144, 1055, 568, 7361, 1813, 547, 922, 1082, 1072, 2640, 563, 288, 9543, 4244, 547, 16933, 262, 5144, 267, 23161, 262, 5144, 814, 513, 2189, 3170, 543, 3940, 5888, 602, 781, 6923, 2653, 547, 7558, 269, 9540, 518, 3170, 5895, 2737, 543, 5266, 1164, 5666, 540, 2110, 268, 543, 5420, 7302, 664, 9761, 7408, 1118, 621, 4443, 585, 519, 1560, 547, 2736, 1524, 269, 769, 1249, 267, 23161, 262, 5144, 5702, 20998, 1480, 6089, 5144, 269, 2368, 1382, 5267, 602, 835, 540, 519, 1292, 2640, 540, 23161, 262, 5144, 568, 602, 621, 3085, 1405, 2014, 6553, 269, 901, 568, 513, 2462, 2601, 1946, 621, 781, 4443, 585, 1004, 609, 15108, 6553, 547, 4235, 23161, 262, 5144, 982, 16933, 262, 5144, 563, 7883, 1846, 262, 5144, 849, 3568, 1164, 2157, 540, 1271, 5567, 267, 1519, 8324, 589, 267, 667, 267, 645, 272, 267, 645, 273, 543, 645, 1321, 267, 7513, 267, 8485, 5387, 267, 4012, 839, 1756, 267, 13058, 543, 22752, 267, 5946, 543, 9761, 7408, 269, 589, 1164, 5834, 540, 22951, 1938, 948, 1489, 519, 4761, 1062, 543, 1591, 2208, 269, 7316, 1034, 16933, 262, 5144, 3568, 536, 990, 710, 2208, 10399, 267, 23161, 616, 10355, 2016, 10399, 269, 5221, 621, 781, 1869, 593, 519, 535, 2590, 525, 540, 2462, 6683, 267, 23161, 262, 5144, 568, 1447, 6757, 547, 519, 1480, 1560, 563, 2026, 728, 689, 5329, 707, 1202, 1938, 4881, 12347, 267, 519, 9761, 7408, 543, 27831, 1938, 1336, 538, 23161, 262, 5144, 849, 948, 596, 1413, 1390, 593, 519, 3544, 269, 634, 1164, 1377, 540, 6171, 589, 538, 23161, 262, 5144, 666, 948, 2087, 2949, 2960, 1072, 543, 1950, 542, 543, 4339, 18383, 269, 634, 561, 12519, 3679, 538, 23161, 262, 5144, 849, 2337, 7759, 519, 1560, 540, 4666, 2960, 2281, 543, 6505, 839, 2960, 3159, 563, 2108, 11039, 1145, 654, 732, 5264, 1193, 1161, 547, 948, 596, 2661, 1272, 1134, 855, 1317, 649, 616, 21625, 543, 711, 2564, 9439, 649, 3112, 2709, 2564, 5796, 269, 7490, 2141, 5077, 707, 2564, 19995, 1354, 2921, 1022, 9360, 267, 14911, 11955, 610, 723, 1022, 1072, 4145, 543, 2327, 602, 596, 2141, 1224, 10297, 267, 21855, 543, 8846, 5402, 267, 1991, 547, 4616, 1848, 0, 14737, 1968, 3778, 7033, 5202, 2073, 585, 606, 7650, 540, 14151, 779, 5599, 1686, 689, 519, 942, 540, 519, 2073, 2282, 3465, 22574, 616, 1210, 1216, 585, 726, 27468, 5599, 454, 326, 1245, 4393, 281, 19369, 540, 519, 2073, 814, 1500, 621, 21443, 762, 547, 6051, 676, 726, 27468, 5599, 543, 8904, 2073, 789, 616, 2356, 13671, 676, 8904, 2553, 971, 607, 4586, 295, 13263, 19447, 10498, 5508, 23414, 299, 4456, 9569, 570, 20168, 296, 27309, 5442, 5990, 962, 20084, 2177, 2073, 6651, 964, 9828, 632, 3816, 1047, 679, 27878, 339, 520, 964, 6833, 637, 22387, 2073, 799, 1106, 21480, 594, 540, 519, 962, 4157, 517, 1773, 27468, 14086, 454, 1432, 568, 1773, 27468, 7108, 14086, 286, 2073, 1358, 1705, 519, 1482, 960, 607, 4505, 726, 27468, 2553, 855, 593, 606, 4853, 4336, 267, 1085, 334, 14563, 5215, 540, 12945, 3952, 540, 18574, 1142, 1554, 267, 4586, 288, 1353, 540, 519, 5599, 2553, 1031, 1282, 519, 4993, 7108, 27538, 8761, 811, 982, 1175, 1344, 540, 875, 547, 1349, 4154, 689, 519, 3618, 634, 1585, 2010, 540, 4586, 300, 1456, 16811, 540, 519, 3735, 476, 5197, 271, 338, 281, 8466, 5599, 3937, 1031, 538, 519, 1977, 4639, 1519, 519, 1295, 518, 779, 4796, 23057, 1157, 267, 519, 1295, 518, 779, 11058, 267, 519, 12899, 19943, 4586, 17457, 1773, 27468, 14086, 14033, 715, 727, 267, 31650, 538, 476, 1220, 277, 2073, 7108, 14086, 10613, 2073, 2073, 4098, 609, 519, 28822, 1180, 833, 7108, 27538, 693, 519, 1439, 540, 519, 476, 5197, 271, 338, 454, 23087, 540, 7108, 14086, 9828, 538, 5375, 2136, 6465, 476, 7277, 273, 910, 476, 1960, 277, 1773, 27468, 14086, 634, 1101, 2645, 1031, 547, 9553, 4154, 941, 5393, 2241, 267, 31009, 4586, 3080, 540, 519, 1034, 4122, 1031, 2409, 585, 8159, 519, 4154, 543, 8988, 1543, 540, 7777, 1242, 7725, 568, 519, 3595, 22368, 2073, 610, 824, 726, 27468, 5599, 4238, 454, 19350, 568, 513, 3095, 547, 513, 476, 5038, 2985, 3561, 827, 726, 27468, 5599, 689, 827, 476, 6642, 271, 594, 3494, 621, 568, 689, 519, 2136, 2276, 13163, 540, 631, 1149, 267, 855, 594, 4769, 1406, 1294, 4376, 602, 4586, 15900, 476, 5197, 271, 781, 7108, 14086, 2073, 540, 519, 4154, 729, 24906, 538, 519, 18642, 5599, 2409, 543, 4061, 1152, 513, 1507, 2073, 15183, 602, 941, 16005, 610, 726, 27468, 15183, 4586, 20112, 5599, 2409, 543, 1099, 1172, 11822, 267, 2653, 2081, 547, 1265, 4154, 543, 9553, 621, 1773, 27468, 4154, 5599, 12535, 267, 8933, 267, 4154, 3443, 940, 267, 22376, 823, 10833, 543, 563, 288, 1413, 693, 1585, 5599, 2409, 543, 2010, 540, 5599, 6811, 538, 519, 2073, 1773, 27468, 5599, 849, 2882, 546, 1042, 3101, 543, 17453, 2409, 1773, 27468, 5599, 3217, 5413, 540, 4586, 12749, 14210, 7108, 15570, 1127, 540, 7460, 2073, 4025, 538, 519, 3735, 476, 5197, 271, 338, 17453, 543, 20847, 5599, 9141, 676, 5599, 3549, 543, 25102, 545, 919, 3533, 8719, 1688, 5599, 1099, 1172, 454, 20112, 14086, 543, 922, 7025, 28620, 9474, 22552, 16898, 2073, 1773, 27468, 5599, 729, 835, 519, 1101, 2409, 1031, 547, 1349, 4154, 689, 519, 12647, 543, 454, 290, 3201, 9281, 3036, 301, 8656, 32745, 2464, 18479, 11244, 26267, 7108, 17719, 2073, 634, 10782, 540, 519, 1804, 4336, 5599, 2553, 3357, 538, 476, 6977, 274, 2073, 4993, 726, 27468, 5599, 454, 20112, 14086, 10613, 2073, 1773, 27468, 5599, 3217, 513, 3099, 540, 3029, 267, 2073, 4098, 609, 519, 28822, 1180, 833, 7108, 27538, 693, 519, 1439, 540, 519, 476, 5197, 271, 338, 454, 5522, 27468, 5599, 630, 270, 476, 16659, 533, 561, 3331, 355, 521, 476, 16745, 337, 1315, 610, 1315, 476, 16659, 533, 561, 2073, 589, 1297, 540, 2409, 616, 1031, 547, 9553, 726, 27468, 4154, 543, 21889, 267, 1312, 538, 2474, 540, 25935, 519, 6886, 689, 519, 2666, 454, 2691, 519, 726, 27468, 1291, 11074, 538, 519, 2073, 1715, 4824, 11362, 543, 546, 1042, 3101, 2553, 1631, 1450, 721, 547, 2263, 543, 960, 1082, 2127, 540, 2073, 4154, 5599, 1686, 267, 4586, 20112, 4860, 665, 2044, 16811, 267, 9540, 4336, 5599, 267, 6176, 2073, 16811, 4122, 1031, 585, 1507, 726, 27468, 4238, 1635, 8176, 918, 889, 778, 267, 17719, 27761, 710, 518, 4467, 454, 2026, 5599, 2553, 3136, 547, 2087, 267, 2073, 476, 280, 12085, 1411, 31598, 5213, 1405, 5700, 6168, 634, 14086, 12752, 282, 4937, 20943, 14670, 923, 4530, 30266, 10118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4831, 842, 30698, 267, 621, 2965, 4249, 513, 2629, 1909, 538, 4509, 513, 7059, 5117, 269, 1635, 4189, 5452, 543, 2371, 267, 2059, 609, 824, 7786, 267, 789, 957, 607, 2470, 779, 2973, 5346, 12284, 267, 4543, 547, 2061, 936, 29115, 543, 4509, 2949, 2825, 1072, 563, 288, 1713, 6712, 540, 513, 2666, 27134, 779, 2732, 5161, 540, 17494, 607, 1134, 269, 769, 1880, 267, 789, 1419, 3049, 593, 2571, 1532, 617, 1221, 10352, 899, 22376, 7714, 543, 3618, 19095, 269, 901, 2337, 1852, 519, 5095, 540, 891, 7068, 538, 10651, 267, 607, 789, 1223, 6382, 3441, 2371, 543, 1831, 513, 562, 7572, 766, 563, 2080, 779, 513, 5618, 6476, 3349, 585, 2653, 4704, 912, 18871, 7568, 643, 5387, 10791, 1475, 25537, 16622, 5387, 10791, 2008, 1103, 3932, 267, 2666, 22404, 1404, 513, 4105, 1909, 538, 9013, 519, 2551, 540, 1585, 7786, 267, 17494, 267, 543, 824, 7103, 269, 4256, 3309, 2732, 2337, 1711, 3666, 538, 519, 5117, 267, 1818, 873, 606, 1898, 5057, 540, 513, 2635, 1604, 269, 1924, 1985, 942, 596, 5544, 513, 2666, 27134, 267, 3314, 519, 1271, 960, 789, 798, 543, 5660, 741, 9295, 547, 4509, 938, 5117, 563, 295, 2863, 532, 543, 30839, 10263, 454, 294, 1037, 22404, 616, 4241, 7068, 602, 1404, 513, 2629, 1909, 538, 9013, 1585, 10860, 269, 1306, 11975, 267, 789, 616, 3833, 3742, 543, 6968, 585, 1426, 5097, 693, 3781, 267, 799, 2306, 873, 27248, 2831, 269, 1358, 3335, 946, 741, 2178, 8260, 17156, 547, 7001, 10352, 543, 8532, 606, 25819, 540, 7786, 267, 971, 607, 2759, 19095, 267, 17605, 267, 4012, 326, 1824, 267, 3618, 19095, 267, 22376, 7714, 267, 543, 824, 22404, 476, 272, 263, 10059, 2517, 327, 2176, 1619, 6983, 23167, 3464, 269, 9749, 340, 12975, 270, 2399, 1606, 18694, 9706, 1042, 2218, 15515, 564, 956, 268, 3033, 15515, 564, 956, 270, 1916, 19853, 3350, 568, 16190, 543, 3608, 607, 789, 6330, 998, 1585, 9249, 269, 2755, 930, 2249, 666, 8038, 267, 1034, 2666, 22404, 4782, 547, 3251, 2673, 547, 519, 2666, 543, 7048, 593, 741, 3432, 543, 22231, 547, 6952, 10352, 269, 901, 2623, 2337, 873, 547, 2057, 4742, 10352, 2933, 563, 294, 1037, 22404, 616, 513, 3501, 1383, 540, 6225, 7786, 602, 666, 948, 2226, 513, 2635, 4677, 5117, 269, 3371, 616, 930, 540, 741, 4162, 912, 268, 20530, 2209, 602, 6968, 10860, 454, 268, 3143, 24856, 543, 3742, 21962, 454, 268, 16200, 8260, 17156, 547, 6952, 10352, 454, 268, 27997, 3350, 543, 930, 666, 8038, 454, 1103, 5758, 267, 2666, 22404, 616, 2629, 11975, 538, 10651, 543, 6694, 5468, 269, 4256, 27248, 10122, 2623, 267, 2178, 8260, 17156, 267, 543, 16190, 3350, 1118, 873, 3608, 693, 4227, 11641, 5095, 267, 6038, 7700, 547, 513, 8902, 1604, 269, 5901, 538, 2247, 602, 4509, 513, 22205, 7226, 585, 873, 666, 948, 596, 1832, 707, 4677, 2635, 543, 14762, 563, 295, 629, 18945, 540, 16140, 2142, 564, 956, 454, 294, 1037, 22404, 8853, 538, 513, 3099, 540, 9249, 269, 2368, 1455, 4025, 596, 666, 1265, 873, 1331, 912, 3383, 559, 281, 4107, 2249, 2661, 538, 3037, 18015, 543, 1212, 341, 1182, 267, 1141, 789, 666, 3362, 6968, 741, 10352, 563, 305, 4169, 543, 20743, 281, 1358, 666, 581, 1336, 896, 7725, 267, 20743, 267, 543, 11935, 267, 3246, 4027, 689, 11975, 543, 3665, 4365, 2175, 563, 300, 592, 577, 267, 7733, 267, 543, 10651, 281, 1452, 22404, 849, 21078, 538, 22890, 267, 7733, 267, 543, 10651, 267, 799, 2709, 7899, 540, 1426, 2959, 543, 15720, 9634, 563, 307, 4181, 543, 18047, 281, 2368, 2249, 4782, 2713, 593, 4054, 610, 9624, 7381, 18047, 543, 21823, 563, 293, 3658, 281, 16581, 4610, 616, 1776, 1455, 7226, 585, 873, 607, 789, 666, 1265, 7899, 540, 10860, 547, 3049, 593, 563, 294, 1037, 22404, 5631, 4782, 13964, 855, 1522, 12212, 32603, 16280, 269, 1717, 267, 789, 616, 711, 513, 3463, 547, 707, 11255, 2230, 563, 2005, 568, 5363, 547, 723, 513, 3309, 7226, 609, 1114, 2609, 971, 607, 10007, 267, 12545, 267, 610, 11149, 269, 1452, 2934, 666, 4196, 607, 15720, 4025, 585, 2666, 22404, 1247, 849, 3246, 2922, 10851, 1282, 30369, 4365, 2175, 269, 5047, 267, 22501, 2127, 609, 18015, 543, 1212, 341, 1182, 616, 811, 5078, 585, 873, 563, 2414, 17412, 267, 2666, 22404, 3082, 547, 513, 2647, 3099, 540, 9249, 267, 8151, 689, 3037, 543, 7725, 547, 7733, 543, 4610, 269, 21278, 513, 3575, 540, 891, 2609, 538, 707, 9205, 2230, 666, 5000, 741, 4527, 267, 8744, 3407, 11641, 1852, 2640, 563, 7628, 519, 11354, 267, 596, 3580, 1265, 602, 2666, 22404, 1831, 811, 3742, 607, 519, 4365, 2112, 916, 909, 269, 1358, 10836, 689, 741, 5162, 30489, 566, 538, 3406, 540, 1426, 267, 799, 5097, 5161, 540, 824, 7786, 267, 16793, 267, 543, 22376, 7714, 269, 1306, 21765, 4679, 267, 891, 27248, 7786, 1491, 5413, 540, 519, 3476, 17334, 547, 6968, 585, 741, 10352, 563, 11764, 1067, 568, 519, 8445, 942, 585, 2666, 27134, 2534, 267, 607, 789, 2972, 519, 3636, 4365, 2175, 543, 726, 550, 3814, 1426, 3761, 269, 1411, 3580, 2693, 5544, 873, 538, 707, 4677, 610, 6371, 344, 2127, 1141, 741, 10352, 568, 10731, 269, 5901, 538, 2247, 602, 789, 616, 1034, 3742, 1282, 519, 3781, 267, 865, 596, 949, 711, 1294, 873, 1419, 1282, 519, 1554, 563, 1103, 519, 12096, 267, 607, 519, 2395, 1205, 10156, 543, 5210, 2253, 547, 6749, 267, 2666, 22404, 1376, 547, 5965, 585, 741, 5162, 30489, 566, 269, 1358, 798, 713, 676, 4466, 1352, 2741, 1229, 9634, 899, 6978, 25985, 267, 3574, 25985, 267, 543, 896, 7725, 269, 5901, 606, 3750, 856, 585, 873, 593, 7646, 1256, 902, 267, 607, 789, 1869, 6968, 585, 1426, 267, 855, 741, 2534, 6971, 607, 5210, 3136, 547, 1205, 21617, 563, 294, 1037, 22404, 616, 6213, 547, 8654, 543, 4782, 4158, 267, 6456, 2127, 547, 1964, 1282, 519, 1554, 269, 1717, 267, 789, 616, 6537, 547, 5841, 1769, 2959, 693, 3781, 267, 799, 666, 3006, 1118, 873, 811, 7298, 952, 596, 723, 9205, 8279, 593, 563, 2414, 973, 777, 267, 2666, 22404, 1246, 513, 12119, 4806, 540, 2534, 912, 268, 15765, 1282, 11354, 267, 609, 2799, 10122, 693, 3781, 454, 268, 30078, 2534, 538, 14400, 267, 1818, 519, 1034, 540, 3636, 4365, 543, 1426, 11606, 454, 268, 25841, 2534, 538, 12096, 267, 8600, 585, 5162, 30489, 566, 454, 268, 11576, 1438, 547, 8654, 267, 4782, 2590, 4158, 2127, 1282, 519, 1554, 855, 6537, 547, 5841, 1769, 693, 3781, 454, 3528, 1620, 741, 12119, 2623, 267, 596, 666, 1732, 5660, 519, 1909, 891, 6225, 11975, 1404, 538, 707, 4677, 5117, 543, 1489, 741, 4527, 676, 3246, 12062, 543, 513, 5078, 7226, 563, 294, 1037, 2142, 564, 956, 538, 3345, 3013, 454, 1103, 3345, 3013, 267, 2666, 22404, 630, 10111, 629, 13160, 264, 616, 513, 3309, 1895, 540, 818, 6605, 16104, 602, 1404, 513, 1713, 1909, 538, 9013, 11641, 5095, 269, 1358, 616, 5631, 1336, 538, 6694, 543, 4677, 5468, 267, 1141, 789, 10352, 593, 1585, 2010, 540, 10860, 269, 1280, 1383, 267, 930, 2666, 22404, 948, 1852, 519, 2551, 540, 519, 29200, 12548, 8000, 6737, 2142, 564, 548, 563, 7197, 2666, 22404, 616, 1507, 547, 9793, 538, 2450, 267, 8151, 689, 476, 272, 270, 279, 547, 936, 476, 272, 16006, 6279, 1279, 267, 543, 616, 1419, 3109, 610, 6960, 23469, 609, 3352, 1938, 1417, 2934, 269, 1358, 616, 5097, 27248, 543, 17743, 538, 3037, 543, 1033, 761, 639, 269, 4256, 2732, 2882, 2759, 19095, 267, 17605, 267, 4012, 326, 1824, 267, 3618, 19095, 267, 22376, 7714, 267, 543, 1256, 824, 22404, 267, 1818, 873, 3407, 538, 11641, 1852, 2533, 563, 288, 8037, 1016, 26967, 1369, 519, 2961, 629, 13160, 1920, 568, 519, 595, 545, 785, 601, 2088, 324, 267, 849, 1634, 607, 20259, 22404, 269, 1452, 22404, 616, 642, 528, 20160, 11975, 543, 616, 3335, 1336, 538, 22501, 610, 544, 28854, 9249, 269, 26286, 22404, 6968, 1585, 7786, 543, 616, 1634, 585, 741, 6909, 3432, 607, 789, 29677, 10352, 593, 519, 2666, 563, 5194, 4241, 1895, 540, 2666, 22404, 616, 519, 25512, 731, 1512, 2142, 564, 956, 269, 1358, 723, 513, 2189, 8878, 7271, 602, 2636, 873, 547, 3132, 543, 5305, 3905, 267, 1100, 343, 1190, 6464, 547, 15658, 11975, 269, 901, 11141, 543, 4686, 10514, 731, 1512, 2702, 8591, 547, 519, 5704, 2329, 540, 2666, 22404, 685, 29782, 538, 741, 8134, 563, 763, 3309, 2249, 540, 2666, 22404, 1336, 538, 3345, 3013, 616, 17709, 540, 7071, 585, 741, 1898, 9295, 547, 4509, 3666, 1369, 741, 9757, 5054, 269, 1635, 8023, 593, 10860, 538, 10651, 543, 6694, 4610, 267, 789, 948, 2569, 519, 991, 585, 3114, 13851, 269, 1924, 1985, 942, 596, 2097, 2066, 513, 2666, 27134, 267, 3314, 519, 4105, 1909, 789, 1404, 538, 4509, 513, 2635, 5117, 563, 294, 1037, 2142, 564, 956, 543, 23270, 454, 294, 1037, 22404, 1404, 513, 2629, 1909, 538, 4509, 519, 3666, 538, 1585, 8134, 269, 1358, 616, 2808, 6225, 7786, 1813, 547, 741, 2392, 2218, 2470, 267, 4543, 538, 6211, 1852, 540, 10860, 538, 6694, 5468, 543, 10651, 563, 3682, 338, 540, 16140, 2142, 564, 956, 538, 11982, 912, 268, 1358, 3049, 593, 513, 2647, 2039, 540, 10352, 267, 971, 607, 2759, 19095, 267, 17605, 267, 4012, 326, 1824, 267, 3618, 19095, 267, 22376, 7714, 267, 543, 824, 22404, 267, 3246, 3407, 11641, 1852, 2533, 538, 11396, 543, 10651, 563, 268, 4256, 4527, 538, 6694, 1949, 8309, 547, 519, 5786, 538, 519, 946, 540, 3114, 13851, 267, 5009, 513, 811, 4264, 543, 10357, 7888, 8105, 1935, 563, 8256, 540, 16140, 2142, 564, 956, 538, 11982, 912, 268, 2368, 2249, 1522, 12212, 3049, 593, 519, 5452, 540, 1978, 2371, 267, 855, 519, 2640, 540, 741, 11641, 1852, 29387, 713, 5634, 2721, 3724, 563, 3528, 2713, 538, 519, 3037, 543, 1033, 761, 639, 267, 2666, 22404, 1831, 1898, 3334, 540, 519, 5117, 269, 4256, 16793, 267, 609, 3982, 17208, 5023, 30672, 267, 849, 21078, 538, 6978, 16445, 610, 1283, 31542, 267, 4543, 538, 8840, 1524, 5214, 2326, 543, 9657, 5567, 563, 2414, 2327, 513, 14762, 5117, 543, 3895, 6225, 4205, 1063, 2666, 22404, 543, 707, 8105, 610, 12202, 2853, 267, 2015, 519, 1739, 10372, 912, 268, 3629, 12062, 585, 519, 22404, 676, 4509, 513, 4494, 540, 6978, 16445, 610, 22890, 563, 268, 3680, 7050, 6165, 540, 3114, 13851, 602, 949, 2800, 2666, 22404, 610, 741, 16793, 563, 268, 19372, 5065, 2030, 2249, 610, 5521, 776, 2371, 547, 1489, 543, 4482, 2666, 22404, 547, 707, 6694, 5251, 563, 3528, 8716, 513, 2635, 2551, 540, 2666, 22404, 538, 707, 4677, 610, 3484, 267, 596, 786, 1294, 519, 2318, 1764, 789, 723, 593, 11641, 1852, 543, 2949, 5117, 1072, 563, 16908, 18888, 540, 16140, 2142, 564, 956, 454, 763, 1272, 4783, 540, 2666, 22404, 4422, 998, 2185, 1292, 5933, 281, 5798, 267, 16793, 267, 7782, 2801, 267, 543, 4079, 269, 2913, 779, 13713, 1865, 1142, 3942, 267, 865, 596, 1174, 741, 4162, 543, 5107, 538, 519, 1272, 540, 891, 5363, 7786, 563, 292, 1375, 338, 281, 21058, 2666, 22404, 2482, 741, 5798, 538, 3037, 610, 1851, 2030, 2326, 269, 1452, 5798, 1491, 827, 476, 278, 547, 476, 1015, 2395, 547, 24011, 267, 4470, 593, 519, 2825, 2175, 272, 563, 299, 541, 15611, 281, 16270, 554, 10248, 267, 1762, 2666, 22404, 10836, 607, 16793, 269, 901, 568, 519, 3942, 1141, 789, 8362, 3049, 593, 1585, 1507, 7786, 267, 971, 607, 2759, 19095, 267, 4012, 326, 1824, 267, 543, 824, 22404, 267, 4543, 547, 1852, 10860, 538, 10651, 273, 269, 1358, 616, 849, 1634, 547, 8532, 3618, 19095, 267, 17605, 267, 543, 22376, 7714, 274, 563, 2026, 789, 1332, 267, 2666, 27134, 16793, 12387, 339, 1896, 2053, 1354, 8757, 741, 1985, 3942, 269, 634, 12586, 1998, 3942, 666, 2063, 9170, 689, 513, 1906, 4374, 547, 1896, 3275, 267, 1282, 799, 789, 3565, 547, 519, 5117, 676, 840, 3539, 593, 5739, 10860, 563, 303, 1575, 2801, 281, 2991, 519, 12586, 1998, 3942, 267, 2666, 22404, 4283, 519, 7782, 531, 3942, 269, 901, 568, 950, 789, 10929, 513, 7415, 7004, 267, 3384, 883, 741, 2937, 1106, 269, 32167, 566, 666, 1491, 1747, 538, 3037, 610, 896, 11935, 267, 1141, 789, 2611, 6456, 543, 6870, 689, 11975, 563, 3849, 6699, 281, 7053, 267, 2666, 22404, 10836, 607, 4628, 268, 11526, 4079, 269, 1358, 616, 27248, 7068, 267, 8362, 25061, 585, 1426, 693, 3781, 1247, 15720, 896, 7725, 267, 20743, 267, 3762, 267, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 1683, 3773, 3178, 543, 6988, 547, 1082, 29443, 592, 534, 18437, 13144, 780, 3721, 476, 277, 281, 13648, 519, 12815, 320, 1325, 19239, 324, 454, 289, 2590, 513, 1804, 1494, 540, 1252, 3585, 2892, 1540, 1216, 547, 14974, 936, 1164, 3002, 269, 28392, 6749, 538, 707, 5423, 18437, 4773, 267, 4180, 789, 798, 711, 804, 2794, 1927, 269, 853, 597, 9900, 543, 3434, 2687, 547, 5227, 2053, 585, 1808, 18437, 2010, 1107, 3622, 1472, 476, 273, 268, 275, 3764, 1107, 2394, 620, 7202, 324, 267, 2495, 5594, 6109, 2943, 11273, 998, 269, 667, 1778, 5612, 855, 15395, 930, 588, 8944, 18437, 1216, 585, 2104, 946, 780, 3721, 476, 278, 281, 28799, 12815, 320, 2060, 29120, 28397, 576, 454, 27987, 27071, 18437, 1394, 883, 519, 3636, 3443, 1031, 547, 5965, 519, 6074, 14036, 269, 3683, 1970, 3002, 267, 19184, 519, 1079, 3334, 1927, 2394, 14961, 22862, 267, 4946, 11603, 18437, 1216, 607, 2877, 547, 4188, 11007, 269, 4495, 11368, 267, 4894, 689, 3002, 543, 4196, 16425, 5196, 3636, 539, 10824, 780, 3721, 476, 279, 281, 5685, 880, 5510, 2060, 10871, 4258, 3150, 543, 4173, 2125, 454, 6524, 9306, 707, 8737, 20100, 267, 16416, 21464, 5666, 540, 9907, 8053, 553, 1470, 10381, 936, 1283, 540, 1367, 32122, 269, 26840, 958, 267, 20057, 548, 4195, 11922, 899, 16163, 2917, 610, 24958, 585, 3773, 24710, 543, 2681, 269, 31160, 7258, 15309, 545, 3694, 543, 6237, 9174, 585, 606, 20605, 6492, 540, 29443, 592, 534, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 6501, 11951, 267, 513, 3638, 1158, 540, 7657, 2293, 543, 5389, 267, 6763, 607, 835, 540, 519, 1034, 9976, 543, 9565, 11477, 6575, 538, 519, 1158, 269, 17848, 539, 538, 513, 1686, 602, 21269, 5553, 267, 621, 568, 27537, 676, 513, 18900, 11100, 540, 16134, 267, 30483, 267, 543, 4763, 267, 609, 1142, 3148, 540, 7977, 5356, 922, 1378, 2189, 2027, 885, 543, 5986, 6163, 563, 4263, 519, 2295, 540, 713, 11951, 6013, 513, 2620, 2463, 585, 4195, 267, 1164, 7779, 5820, 267, 2436, 621, 568, 519, 22691, 14274, 540, 8805, 16492, 267, 519, 29549, 14462, 3282, 540, 570, 19895, 1415, 267, 610, 519, 4195, 16872, 540, 519, 9381, 4525, 269, 901, 814, 3810, 8329, 547, 1818, 7969, 11951, 865, 3982, 543, 835, 602, 568, 7957, 10696, 5001, 563, 1607, 4367, 547, 7969, 11951, 786, 1491, 596, 593, 513, 8819, 1258, 5669, 3460, 267, 3695, 519, 5929, 8286, 602, 723, 1500, 713, 11951, 4583, 5001, 267, 689, 2295, 344, 2250, 553, 543, 533, 11170, 553, 547, 27610, 1567, 2714, 657, 543, 632, 937, 762, 28916, 269, 1284, 786, 5490, 883, 519, 6237, 7648, 602, 1118, 7969, 1426, 865, 3309, 267, 519, 3140, 7506, 555, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 293, 686, 592, 534, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 7969, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 6092, 5149, 281, 634, 4279, 15349, 2782, 543, 4706, 8177, 593, 2342, 692, 7072, 912, 5331, 596, 616, 2713, 538, 513, 942, 950, 3532, 23693, 941, 7683, 693, 2112, 609, 1142, 824, 256, 901, 729, 519, 4641, 538, 519, 476, 8182, 271, 338, 950, 835, 1713, 4655, 267, 1634, 607, 519, 4279, 15349, 2782, 267, 3576, 1747, 269, 901, 2112, 1185, 2484, 23568, 4539, 602, 4957, 519, 4786, 540, 2342, 11014, 269, 2913, 781, 4685, 883, 713, 4241, 1974, 543, 1451, 827, 875, 621, 18534, 9464, 1686, 2439, 4089, 476, 272, 281, 1548, 12984, 519, 4279, 15349, 2782, 2496, 1103, 2241, 2474, 267, 519, 4279, 15349, 2782, 630, 13679, 277, 268, 15433, 280, 264, 729, 513, 1279, 18835, 6560, 1063, 519, 22800, 16368, 7276, 543, 513, 1895, 540, 3864, 6082, 1572, 519, 10513, 13477, 269, 634, 10513, 13477, 15538, 540, 2477, 899, 15212, 267, 12996, 267, 543, 24131, 945, 3357, 1927, 547, 5706, 519, 7269, 540, 519, 12228, 30689, 883, 741, 3338, 269, 5994, 1373, 851, 540, 606, 19710, 8165, 1996, 1776, 5318, 543, 3532, 10806, 1107, 3833, 606, 7045, 2439, 4089, 476, 273, 281, 4208, 9894, 519, 2782, 19732, 523, 2496, 2690, 5553, 267, 519, 16368, 7276, 1185, 1044, 3395, 6793, 543, 9750, 922, 10665, 2429, 2342, 267, 5607, 267, 543, 4000, 269, 1717, 267, 676, 519, 4571, 268, 8182, 271, 338, 267, 1896, 3864, 2829, 5433, 12219, 676, 519, 12228, 30689, 262, 2810, 1379, 543, 4956, 789, 2877, 547, 960, 1927, 547, 3247, 873, 269, 1452, 4145, 3366, 547, 519, 5250, 540, 519, 10513, 13477, 267, 26354, 1055, 1018, 1131, 1831, 519, 4279, 15349, 2782, 269, 6056, 540, 621, 899, 4730, 513, 3014, 1141, 1114, 6887, 723, 547, 12840, 543, 2054, 1125, 547, 2149, 741, 11182, 689, 12289, 2439, 4089, 476, 274, 281, 27159, 540, 519, 2782, 692, 5475, 1082, 1296, 540, 18979, 12959, 267, 1312, 5011, 6368, 8815, 2390, 513, 4708, 14097, 538, 476, 15433, 280, 269, 1306, 513, 1267, 267, 519, 22341, 7276, 9715, 1007, 11182, 1519, 2694, 540, 21640, 267, 3690, 11373, 267, 543, 23577, 8205, 269, 11531, 267, 12996, 556, 13094, 23093, 16288, 267, 543, 24131, 9450, 922, 1852, 936, 1978, 4525, 269, 4634, 1498, 891, 12374, 8604, 1507, 3379, 547, 519, 7372, 2450, 540, 519, 16368, 7276, 267, 789, 6719, 1271, 24984, 585, 519, 3864, 16167, 269, 3807, 4952, 4687, 707, 11802, 14735, 4773, 1310, 6707, 21108, 707, 6830, 19843, 2439, 7212, 972, 941, 5634, 9156, 625, 1500, 676, 519, 12228, 30689, 538, 7766, 5712, 267, 519, 2949, 7678, 4951, 513, 4617, 2287, 10504, 269, 1635, 519, 476, 5197, 271, 338, 267, 519, 12228, 30689, 3323, 9561, 811, 2244, 267, 1101, 609, 10255, 538, 476, 9264, 280, 267, 4553, 676, 1585, 26811, 534, 16899, 269, 16024, 2103, 1419, 14487, 713, 7771, 547, 2188, 899, 18633, 5718, 267, 2883, 7963, 267, 543, 22573, 4108, 2029, 269, 6333, 875, 2147, 2591, 666, 1860, 1022, 3919, 2221, 267, 1256, 952, 621, 3884, 1405, 3843, 547, 20630, 15231, 11182, 2439, 6962, 1384, 2467, 596, 723, 621, 910, 606, 7650, 540, 519, 12473, 4279, 15349, 2782, 543, 922, 26374, 4093, 269, 4197, 3140, 2621, 2337, 721, 9787, 1946, 938, 1158, 5654, 519, 1259, 621, 1281, 1631, 269, 1924, 1985, 942, 596, 2972, 930, 29221, 331, 6072, 610, 23507, 6946, 16368, 6189, 267, 3314, 519, 8941, 540, 6264, 16725, 543, 9620, 2404, 609, 713, 7415, 5736, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15124, 15349, 2782, 454, 763, 4279, 15349, 2782, 4016, 547, 513, 3126, 540, 7526, 1063, 519, 16368, 7276, 543, 4207, 3864, 7060, 267, 1287, 8678, 883, 513, 10513, 13477, 267, 1282, 519, 2034, 3368, 540, 519, 27867, 2540, 269, 898, 6825, 519, 1439, 540, 519, 16368, 1651, 2720, 542, 883, 2342, 543, 519, 1376, 540, 16368, 16857, 18956, 269, 15212, 6591, 1034, 540, 21640, 267, 3690, 11373, 267, 543, 23577, 8205, 267, 12996, 16626, 23093, 16288, 267, 543, 6243, 540, 24131, 849, 6591, 8513, 267, 930, 540, 799, 729, 2663, 8120, 547, 11894, 269, 6736, 930, 16857, 6051, 538, 519, 22733, 2540, 267, 971, 607, 10897, 990, 689, 6576, 1063, 476, 14378, 272, 543, 476, 10082, 275, 543, 519, 19994, 641, 517, 333, 4615, 25345, 538, 476, 14378, 279, 267, 519, 1739, 2540, 4718, 2417, 9271, 4358, 609, 10255, 538, 476, 9264, 280, 267, 1287, 676, 20422, 26811, 534, 16899, 998, 2394, 519, 1439, 540, 519, 2540, 269, 589, 19588, 540, 4617, 590, 738, 753, 267, 2883, 967, 20623, 1540, 1145, 547, 519, 1390, 7060, 543, 5821, 547, 2413, 1125, 519, 7952, 267, 2899, 5499, 543, 1099, 10999, 9120, 547, 3864, 4229, 267, 782, 8329, 547, 519, 10504, 781, 24715, 26559, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 13898, 1315, 28073, 1315, 30527, 1315, 26874, 30527, 692, 5970, 596, 2479, 1224, 513, 1433, 602, 1500, 596, 1745, 899, 596, 941, 1318, 972, 609, 519, 3197, 267, 7680, 741, 3675, 903, 267, 22408, 4900, 267, 543, 2591, 286, 2107, 723, 596, 14478, 513, 7260, 602, 8604, 865, 1483, 267, 621, 5433, 899, 596, 6785, 519, 3197, 13948, 286, 1403, 865, 267, 1287, 596, 4076, 4810, 17779, 2439, 3719, 1018, 4010, 1281, 968, 9418, 1143, 892, 1611, 267, 2523, 538, 6138, 543, 3332, 286, 2913, 779, 4685, 883, 713, 4241, 1523, 1927, 2439, 5331, 596, 2461, 8384, 707, 5172, 15705, 4670, 269, 1411, 1294, 519, 5869, 8038, 1472, 9494, 1004, 267, 1685, 6909, 905, 1846, 267, 543, 14710, 9409, 5636, 1622, 269, 901, 2186, 540, 1650, 568, 1419, 5219, 547, 607, 513, 834, 668, 766, 257, 1317, 621, 2934, 3677, 31032, 3734, 3197, 543, 3871, 602, 5749, 1405, 3833, 2009, 538, 938, 4948, 2729, 269, 1809, 3006, 267, 649, 2972, 2984, 602, 3100, 811, 1524, 3562, 268, 24160, 267, 1141, 1919, 1223, 4755, 1175, 899, 789, 798, 538, 4641, 20196, 779, 17779, 585, 596, 2439, 3086, 1577, 779, 1589, 827, 5837, 17779, 269, 1879, 649, 2911, 827, 26069, 267, 649, 3277, 547, 3741, 602, 3391, 721, 538, 14045, 1018, 779, 1318, 610, 4636, 269, 1280, 1383, 267, 1034, 540, 721, 1131, 3858, 602, 4543, 1866, 568, 1434, 543, 9292, 1154, 873, 568, 3983, 269, 1924, 267, 952, 2576, 3081, 1945, 899, 267, 968, 17556, 2718, 1426, 547, 3049, 513, 5182, 1324, 1126, 3884, 1406, 4636, 2223, 649, 1522, 10990, 1317, 649, 3494, 2921, 1018, 12851, 547, 2576, 3116, 568, 3622, 1799, 7394, 269, 2334, 4743, 3330, 540, 721, 1107, 519, 3661, 602, 930, 3527, 2731, 616, 1318, 610, 4636, 1107, 568, 693, 519, 2295, 540, 5837, 17779, 780, 300, 7394, 1483, 1235, 8044, 602, 972, 616, 6662, 5837, 18408, 856, 972, 7996, 547, 581, 4362, 267, 2147, 547, 875, 3744, 3605, 5013, 827, 519, 1158, 998, 8343, 543, 17634, 269, 1452, 15806, 3409, 602, 1256, 1498, 1114, 4529, 949, 723, 8795, 8369, 3823, 1808, 5837, 2152, 267, 1978, 6411, 2611, 20244, 1318, 610, 4636, 7488, 540, 2686, 2796, 269, 3807, 899, 8904, 1568, 519, 1482, 1259, 782, 936, 519, 4541, 267, 5837, 3652, 4019, 24080, 1932, 2439, 3383, 267, 875, 1705, 713, 2856, 1831, 1271, 538, 3332, 286, 4270, 267, 1082, 4589, 4941, 741, 2984, 547, 2992, 891, 8471, 5837, 4245, 267, 1818, 741, 3197, 3068, 10853, 5079, 543, 4539, 269, 1635, 3257, 865, 267, 3988, 1223, 1732, 9305, 547, 1346, 2984, 543, 1451, 3407, 1272, 4245, 2059, 519, 1259, 780, 3080, 1390, 1383, 2501, 689, 8176, 28726, 262, 4583, 960, 589, 8285, 8349, 269, 661, 321, 2940, 10045, 2480, 549, 334, 613, 6238, 1055, 607, 513, 25796, 812, 945, 30128, 2370, 585, 4896, 855, 5128, 269, 1717, 267, 1310, 25884, 15293, 569, 8436, 13031, 1312, 1010, 2250, 543, 1761, 2104, 267, 646, 21810, 883, 513, 21464, 543, 12391, 1268, 269, 3414, 2480, 549, 334, 613, 781, 3460, 267, 3988, 7198, 513, 3532, 3408, 540, 8296, 267, 19807, 267, 543, 25863, 267, 1565, 1898, 2418, 10858, 3564, 519, 3817, 540, 519, 1433, 780, 2026, 596, 666, 1294, 267, 17779, 543, 5837, 17779, 2709, 10578, 2081, 547, 2263, 938, 1158, 543, 1174, 6000, 1732, 269, 1306, 1647, 1153, 1053, 267, 3206, 9691, 827, 5837, 2055, 786, 948, 3337, 707, 1378, 4978, 1247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2878, 17380, 2433, 1262, 10606, 1447, 982, 713, 616, 6383, 269, 901, 9936, 568, 1477, 285, 16601, 23228, 285, 567, 2608, 476, 2878, 21163, 263, 9953, 264, 2433, 1262, 5153, 1448, 540, 2039, 267, 713, 4465, 1406, 581, 3769, 269, 901, 568, 1477, 285, 18593, 269, 4347, 5435, 1871, 568, 476, 272, 23228, 285, 5897, 285, 1477, 285, 476, 2878, 27987, 10025, 2433, 1262, 901, 1599, 6383, 519, 2338, 538, 519, 5311, 1477, 285, 1376, 3613, 641, 1236, 6235, 1900, 269, 5897, 3086, 267, 607, 649, 917, 602, 18062, 814, 2338, 689, 519, 2039, 476, 272, 268, 277, 8537, 267, 543, 649, 1477, 342, 656, 513, 21678, 1267, 607, 3977, 267, 865, 649, 786, 2285, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 277, 267, 1477, 277, 267, 476, 277, 316, 607, 519, 5311, 538, 519, 1599, 543, 1287, 946, 28219, 9792, 547, 1265, 513, 4351, 1477, 8161, 543, 3976, 1599, 786, 2285, 513, 21678, 18062, 12235, 607, 3977, 269, 12989, 616, 519, 1477, 574, 921, 618, 725, 1759, 593, 519, 1657, 7778, 281, 5897, 567, 5897, 567, 5897, 1012, 5124, 274, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 1982, 547, 1374, 513, 21678, 18062, 12235, 5897, 258, 1599, 5897, 476, 5897, 258, 7383, 532, 4351, 5399, 5897, 5814, 4351, 5897, 476, 5897, 258, 9577, 547, 2285, 513, 21678, 18062, 12235, 5897, 3698, 18062, 318, 628, 992, 263, 2567, 5897, 476, 5897, 1948, 13207, 2130, 519, 5311, 5897, 5311, 815, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 1477, 277, 267, 476, 277, 267, 476, 277, 267, 476, 277, 316, 5897, 476, 5897, 1948, 1210, 4351, 20120, 9792, 3890, 547, 476, 5897, 1948, 1205, 513, 4351, 4994, 1297, 476, 5897, 28219, 16182, 343, 815, 4351, 20120, 9792, 12759, 263, 30084, 264, 10142, 476, 5897, 1948, 24614, 519, 4351, 1267, 5897, 1820, 263, 30084, 314, 8681, 16182, 343, 316, 10142, 476, 5897, 258, 30905, 8943, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 3890, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 24541, 825, 476, 277, 457, 1477, 825, 476, 274, 457, 1477, 825, 476, 274, 5897, 2971, 6396, 476, 274, 281, 4635, 4351, 27110, 31476, 21953, 1776, 1505, 547, 5352, 519, 4351, 1297, 267, 849, 666, 581, 1031, 547, 5352, 1477, 1415, 1297, 538, 513, 2039, 267, 543, 1287, 1210, 602, 1297, 4994, 267, 649, 666, 1265, 519, 1871, 1477, 520, 519, 7222, 4994, 267, 1175, 899, 519, 1657, 268, 20197, 4480, 269, 1809, 621, 1477, 18528, 619, 676, 519, 1249, 602, 621, 2838, 476, 273, 16601, 7440, 585, 2039, 269, 5897, 285, 476, 2878, 306, 9321, 1314, 2433, 1262, 28219, 842, 263, 11034, 267, 1439, 3418, 285, 1477, 285, 476, 2878, 13640, 600, 4394, 2433, 1262, 1477, 285, 1477, 285, 567, 2608, 476, 2878, 263, 11034, 267, 1439, 264, 2433, 1262, 5637, 540, 873, 1590, 581, 8870, 1826, 2418, 23228, 285, 5897, 285, 1477, 285, 476, 2878, 14303, 5281, 2433, 1262, 589, 4351, 8870, 538, 2039, 1496, 11034, 267, 1439, 316, 1519, 519, 1439, 1477, 285, 2798, 269, 5897, 3086, 267, 607, 649, 917, 602, 18062, 814, 2338, 689, 519, 2039, 476, 272, 268, 277, 8537, 267, 543, 649, 1477, 342, 656, 513, 21678, 1267, 607, 3977, 267, 865, 649, 786, 2285, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 277, 267, 1477, 277, 267, 476, 277, 316, 607, 519, 5311, 538, 519, 1599, 543, 1287, 946, 28219, 842, 547, 1265, 513, 4351, 1477, 8161, 543, 3976, 1599, 786, 2285, 513, 21678, 18062, 12235, 607, 3977, 269, 12989, 616, 519, 1477, 574, 921, 618, 725, 1759, 593, 519, 1657, 7778, 281, 5897, 1012, 5124, 274, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 1982, 547, 1374, 513, 21678, 18062, 12235, 5897, 258, 1599, 5897, 476, 5897, 258, 7383, 532, 4351, 5399, 5897, 5814, 4351, 5897, 476, 5897, 258, 9577, 547, 2285, 513, 21678, 18062, 12235, 5897, 3698, 18062, 318, 628, 992, 263, 2567, 5897, 476, 5897, 1948, 13207, 2130, 519, 5311, 5897, 5311, 815, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 1477, 277, 267, 476, 277, 267, 476, 277, 267, 476, 277, 316, 5897, 476, 5897, 1948, 1210, 4351, 27110, 3890, 547, 476, 5897, 1948, 1205, 513, 4351, 4994, 1297, 476, 5897, 28219, 16182, 343, 815, 4351, 27110, 263, 271, 267, 7003, 263, 30084, 9984, 272, 10142, 476, 5897, 1948, 24614, 519, 4351, 1267, 5897, 1820, 263, 30084, 314, 8681, 16182, 343, 316, 10142, 476, 5897, 258, 30905, 8943, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 3890, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 24541, 825, 476, 276, 457, 1477, 825, 476, 273, 457, 1477, 825, 476, 275, 5897, 2971, 6396, 476, 275, 281, 4635, 4351, 20179, 31476, 1607, 1505, 12958, 519, 13735, 15304, 2338, 538, 519, 2039, 540, 476, 271, 547, 476, 272, 269, 1284, 1477, 4754, 849, 1205, 519, 4994, 1871, 540, 1592, 1210, 713, 1599, 676, 14921, 519, 1477, 14310, 543, 1287, 1826, 26511, 547, 703, 547, 1205, 8870, 4994, 543, 1287, 7222, 1477, 4289, 1871, 269, 3973, 649, 786, 946, 602, 4994, 1871, 547, 1820, 513, 4351, 1297, 689, 1477, 1492, 1592, 269, 5897, 285, 476, 2878, 306, 9321, 1314, 2433, 1262, 4351, 20179, 14052, 285, 1477, 285, 476, 2878, 13640, 600, 4394, 2433, 1262, 901, 1505, 1281, 711, 3398, 1022, 9936, 23228, 285, 1477, 285, 476, 2878, 14303, 5281, 2433, 1262, 901, 1505, 7024, 513, 4351, 13735, 1297, 1063, 476, 271, 543, 476, 272, 269, 5897, 3086, 267, 607, 649, 917, 602, 18062, 814, 2338, 689, 519, 2039, 476, 272, 268, 277, 8537, 267, 543, 649, 1477, 342, 656, 513, 21678, 1267, 607, 3977, 267, 865, 649, 786, 2285, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 277, 267, 1477, 277, 267, 476, 277, 316, 607, 519, 5311, 538, 519, 1599, 543, 1287, 946, 4351, 547, 1265, 513, 4351, 1477, 8161, 543, 3976, 1599, 786, 2285, 513, 21678, 18062, 12235, 607, 3977, 269, 12989, 616, 519, 1477, 574, 921, 618, 725, 1759, 593, 519, 1657, 7778, 281, 5897, 1012, 5124, 274, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 1982, 547, 1374, 513, 21678, 18062, 12235, 5897, 258, 1599, 5897, 476, 5897, 258, 7383, 532, 4351, 5399, 5897, 5814, 4351, 5897, 476, 5897, 258, 9577, 547, 2285, 513, 21678, 18062, 12235, 5897, 3698, 18062, 318, 628, 992, 263, 2567, 5897, 476, 5897, 1948, 13207, 2130, 519, 5311, 5897, 5311, 815, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 1477, 277, 267, 476, 277, 267, 476, 277, 267, 476, 277, 316, 5897, 476, 5897, 1948, 1210, 4351, 20179, 3890, 547, 476, 5897, 1948, 1205, 513, 4351, 1297, 476, 5897, 28219, 16182, 343, 815, 703, 263, 12690, 20179, 3890, 2608, 7003, 263, 30084, 4297, 476, 5897, 476, 5897, 1948, 24614, 519, 4351, 1267, 5897, 1820, 263, 30084, 314, 8681, 16182, 343, 316, 10142, 476, 5897, 258, 30905, 8943, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 3890, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 24541, 825, 476, 277, 457, 1477, 825, 476, 273, 457, 1477, 825, 476, 277, 5897, 2971, 6396, 476, 276, 281, 4635, 4351, 26716, 7860, 31476, 763, 5079, 3890, 1505, 7024, 2789, 4351, 2609, 689, 519, 1592, 609, 1477, 516, 10293, 269, 1411, 666, 9260, 519, 7872, 540, 1142, 1267, 609, 519, 12035, 1477, 12407, 2678, 610, 519, 15921, 318, 30135, 9936, 269, 634, 2609, 666, 581, 513, 5569, 267, 513, 2039, 267, 1477, 320, 1592, 267, 513, 24042, 610, 1022, 824, 2186, 540, 5311, 269, 5897, 285, 476, 2878, 306, 9321, 1314, 2433, 1262, 4351, 26716, 7860, 263, 30084, 267, 12035, 22561, 267, 15921, 318, 30135, 22561, 267, 737, 284, 272, 3418, 285, 1477, 285, 476, 2878, 13640, 600, 4394, 2433, 1262, 1477, 285, 1477, 285, 567, 2608, 476, 2878, 30084, 5093, 898, 568, 513, 16601, 9936, 602, 666, 581, 513, 1592, 267, 24042, 267, 610, 1477, 285, 5569, 23228, 285, 567, 2608, 476, 2878, 30135, 5093, 898, 568, 606, 18593, 9936, 799, 568, 1031, 547, 9260, 519, 1477, 285, 7872, 585, 1142, 1871, 23228, 285, 567, 2608, 476, 2878, 322, 636, 318, 30135, 5093, 898, 568, 606, 18593, 9936, 799, 568, 1031, 547, 9260, 519, 1477, 285, 7872, 585, 1142, 1871, 855, 538, 713, 519, 7872, 568, 19017, 1477, 285, 567, 2608, 476, 2878, 330, 5093, 898, 568, 606, 18593, 9936, 602, 568, 1031, 547, 5581, 519, 3259, 540, 1477, 285, 519, 8120, 1592, 23228, 285, 5897, 3086, 267, 607, 649, 917, 602, 18062, 814, 2338, 689, 519, 2039, 476, 272, 268, 277, 8537, 267, 865, 649, 786, 1477, 326, 633, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 316, 607, 513, 5311, 267, 543, 1287, 649, 786, 1305, 12035, 540, 1142, 1477, 324, 2211, 540, 519, 1592, 269, 3973, 649, 786, 1820, 519, 3977, 269, 12989, 616, 519, 1477, 574, 921, 618, 725, 1759, 593, 519, 1657, 7778, 281, 5897, 1012, 5124, 274, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 1982, 547, 1374, 513, 21678, 18062, 12235, 5897, 258, 1599, 5897, 476, 5897, 258, 7383, 532, 4351, 5399, 5897, 5814, 4351, 5897, 476, 5897, 258, 9577, 547, 2285, 513, 21678, 18062, 12235, 5897, 3698, 18062, 318, 628, 992, 263, 2567, 5897, 476, 5897, 1948, 13207, 2130, 519, 5311, 5897, 5311, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 316, 5897, 476, 5897, 1948, 1210, 4351, 26716, 7860, 3890, 547, 476, 5897, 1948, 1205, 513, 4351, 3903, 5897, 28219, 15220, 4069, 815, 4351, 26716, 7860, 263, 30084, 267, 12035, 815, 1496, 272, 267, 476, 273, 267, 1477, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 3910, 737, 815, 476, 272, 10142, 476, 5897, 1948, 24614, 519, 4351, 1267, 5897, 1820, 28949, 8681, 15220, 4069, 10142, 476, 5897, 258, 30905, 8943, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 3890, 272, 5897, 277, 5897, 274, 5897, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 31476, 476, 5897, 258, 11910, 532, 519, 1599, 5897, 323, 823, 318, 628, 992, 3890, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 24541, 825, 476, 272, 457, 1477, 825, 476, 277, 457, 1477, 825, 476, 274, 5897, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 2878, 23911, 14691, 1477, 28062, 566, 1262, 6092, 543, 1451, 519, 9238, 269, 5897, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 1477, 935, 32383, 609, 519, 2878, 23911, 26712, 1262, 6092, 269, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 23911, 1923, 26321, 32368, 5903, 5681, 332, 566 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 2791, 666, 1265, 856, 713, 9936, 538, 1896, 2081, 780, 1012, 9208, 6482, 1505, 692, 2414, 3313, 519, 8006, 267, 596, 1101, 991, 547, 917, 519, 8953, 540, 519, 8868, 269, 18833, 519, 8545, 267, 596, 666, 5173, 519, 8006, 269, 4340, 547, 519, 6310, 4542, 267, 519, 8006, 540, 513, 5858, 568, 3160, 547, 1079, 2234, 4512, 281, 667, 815, 476, 273, 678, 780, 2162, 570, 790, 8700, 692, 9288, 5501, 618, 267, 607, 538, 519, 1657, 2013, 267, 568, 1500, 609, 513, 11746, 2268, 269, 898, 568, 5116, 593, 519, 12483, 13902, 569, 543, 519, 3845, 689, 835, 6316, 547, 519, 824, 568, 6027, 269, 634, 11746, 1058, 581, 4371, 14553, 23276, 630, 7474, 568, 267, 2066, 519, 11332, 12483, 264, 865, 602, 519, 1267, 568, 607, 6325, 607, 2009, 780, 763, 8700, 540, 513, 17919, 12483, 12349, 547, 5372, 513, 8697, 835, 949, 5594, 8428, 689, 519, 3312, 835, 630, 2041, 5594, 9962, 610, 5594, 7522, 518, 1040, 901, 1249, 786, 711, 1860, 519, 2702, 547, 3888, 621, 780, 1012, 1215, 547, 2268, 519, 8006, 540, 513, 17919, 8868, 2496, 2691, 596, 991, 547, 5372, 513, 14047, 3293, 12483, 610, 6718, 513, 22302, 12483, 267, 621, 568, 1271, 547, 917, 519, 8006, 540, 519, 17919, 8868, 269, 634, 16287, 666, 581, 9763, 593, 519, 4867, 8704, 1668, 269, 898, 568, 9102, 593, 519, 2427, 540, 519, 12483, 267, 543, 6920, 922, 8006, 543, 8700, 269, 1403, 519, 2338, 616, 2144, 1078, 610, 519, 30115, 568, 711, 28505, 267, 596, 666, 2268, 519, 8006, 540, 513, 17919, 8868, 3054, 1210, 1079, 2241, 2409, 780, 2162, 17781, 692, 763, 2034, 2838, 10155, 568, 519, 5858, 269, 1703, 616, 1896, 2386, 13933, 2081, 547, 2268, 519, 18592, 540, 513, 17919, 779, 26079, 1384, 1892, 1284, 1491, 513, 1875, 268, 601, 2880, 8142, 267, 16833, 621, 1472, 519, 1283, 540, 519, 12285, 269, 1284, 2482, 621, 856, 4010, 593, 519, 2627, 267, 1491, 513, 14610, 543, 1566, 256, 269, 649, 1205, 519, 3259, 540, 938, 12483, 563, 1892, 3245, 519, 1576, 540, 1153, 6128, 2687, 547, 519, 4542, 281, 18592, 815, 12631, 337, 273, 267, 1141, 12631, 568, 513, 3586, 1297, 476, 274, 269, 1691, 267, 543, 678, 568, 519, 8953, 630, 1492, 1505, 540, 6482, 568, 1657, 1916, 1892, 2060, 513, 6749, 540, 5862, 269, 9255, 513, 12297, 593, 519, 25500, 267, 1287, 2196, 707, 11332, 593, 513, 1377, 544, 12976, 1899, 543, 593, 513, 5347, 630, 1122, 28372, 264, 2627, 269, 634, 1448, 786, 581, 9102, 7466, 267, 519, 3845, 1063, 873, 786, 581, 519, 18592, 780, 2162, 476, 736, 10759, 692, 763, 10545, 14743, 1336, 593, 30158, 616, 476, 736, 6279, 538, 8006, 269, 1358, 616, 2356, 1336, 593, 1453, 779, 610, 24208, 21891, 267, 607, 1134, 607, 593, 22720, 311, 21891, 780, 2162, 19805, 519, 8006, 540, 519, 17919, 14743, 692, 2252, 519, 3903, 540, 513, 17919, 29598, 519, 2482, 2006, 676, 9983, 267, 1287, 519, 3903, 540, 922, 3334, 3217, 1747, 693, 513, 811, 6857, 1377, 269, 1717, 267, 519, 2489, 543, 24669, 4605, 666, 2141, 581, 26991, 676, 835, 5057, 269, 1924, 621, 729, 609, 14743, 609, 513, 8006, 540, 476, 2767, 269, 276, 6279, 780, 288, 1032, 543, 513, 3368, 3516, 267, 519, 7823, 11332, 2344, 729, 5258, 3592, 8449, 1063, 21891, 609, 5929, 476, 2918, 20878, 14743, 543, 519, 5051, 2442, 476, 3066, 20878, 14743, 780, 763, 1292, 5383, 540, 519, 5449, 941, 741, 2656, 10231, 267, 1970, 2597, 543, 1434, 16246, 269, 634, 2034, 3283, 588, 2406, 9738, 519, 3432, 609, 1447, 4674, 543, 4951, 5140, 17945, 2773, 780, 4517, 4352, 7620, 1906, 5156, 538, 519, 7145, 540, 519, 476, 3066, 20878, 267, 2519, 593, 741, 28919, 267, 936, 942, 789, 2968, 519, 1292, 7678, 538, 15203, 780, 763, 1007, 476, 2767, 269, 276, 20878, 14743, 616, 711, 1007, 543, 723, 1044, 1031, 538, 1447, 2442, 3631, 1354, 269, 1717, 267, 741, 5920, 693, 3056, 3549, 2813, 513, 1483, 16411, 538, 3747, 780, 3918, 4696, 1109, 1215, 547, 5265, 3888, 26971, 538, 513, 17919, 5377, 31455, 692, 1607, 8560, 666, 581, 6045, 3833, 3274, 269, 1082, 2877, 606, 4244, 1063, 519, 1079, 8701, 14964, 6163, 269, 26157, 1434, 17945, 609, 3728, 10231, 814, 2813, 513, 1360, 8013, 1587, 780, 4002, 519, 824, 1688, 267, 971, 513, 3948, 1281, 711, 1611, 602, 519, 3105, 2344, 3401, 616, 13777, 850, 780, 1432, 547, 3442, 543, 875, 547, 581, 2386, 602, 971, 513, 3903, 568, 20582, 286, 28900, 267, 519, 15864, 4781, 568, 547, 2119, 782, 1614, 14743, 1101, 11804, 269, 901, 1259, 568, 1732, 982, 1022, 3069, 269, 1717, 267, 1034, 1419, 621, 568, 1360, 2352, 547, 2936, 267, 952, 711, 7543, 269, 3973, 519, 1101, 1900, 540, 513, 1761, 7082, 1058, 581, 519, 2243, 968, 1432, 798, 594, 991, 689, 513, 17919, 9495, 780, 763, 6654, 1249, 568, 602, 585, 1142, 1808, 14964, 2511, 972, 616, 14422, 538, 519, 3903, 540, 14743, 269, 1809, 1256, 1934, 513, 1297, 540, 2055, 8451, 267, 1317, 10355, 606, 23153, 24870, 538, 1945, 1808, 780, 1103, 713, 2013, 267, 596, 991, 547, 1413, 693, 519, 1966, 540, 7446, 14743, 811, 17618, 269, 7446, 519, 14422, 540, 519, 11332, 538, 2489, 780, 2080, 519, 3903, 540, 513, 2104, 31115, 1281, 711, 9114, 1063, 1079, 1292, 3681, 267, 855, 1369, 519, 5943, 540, 513, 2898, 1305, 540, 7355, 780, 3080, 540, 891, 7355, 568, 2597, 269, 634, 3390, 540, 2597, 538, 519, 2013, 540, 14743, 568, 711, 513, 2339, 540, 519, 11332, 779, 3560, 1464, 267, 855, 5097, 540, 3432, 269, 634, 3017, 538, 2597, 1063, 476, 2918, 543, 476, 2767, 269, 276, 10759, 14743, 9832, 689, 476, 5611, 268, 7742, 10101, 267, 1247, 519, 3017, 1063, 476, 2767, 269, 276, 543, 476, 3066, 10759, 14743, 9832, 689, 476, 12573, 547, 476, 6110, 10101, 780, 13295, 267, 1063, 476, 2918, 543, 476, 3066, 6279, 267, 519, 2039, 666, 581, 909, 547, 476, 10384, 10101, 267, 799, 3648, 5540, 519, 3432, 540, 519, 11332, 269, 13379, 5542, 568, 711, 827, 7446, 1063, 513, 5266, 3728, 267, 5420, 543, 3500, 11332, 267, 855, 2864, 1063, 1079, 3728, 543, 835, 3500, 269, 16338, 1063, 476, 2918, 543, 476, 2767, 780, 276, 6279, 568, 30050, 2614, 711, 547, 10460, 513, 2101, 3432, 3390, 780, 763, 3390, 540, 20408, 9465, 593, 519, 4155, 568, 849, 1360, 1271, 269, 769, 713, 3510, 267, 519, 3401, 616, 14743, 609, 513, 3677, 8006, 267, 3648, 25588, 856, 741, 4130, 2841, 3218, 269, 2201, 519, 824, 1688, 267, 476, 2767, 780, 763, 476, 276, 20878, 14743, 616, 711, 2484, 3297, 519, 476, 3066, 20878, 14743, 267, 9363, 1134, 6619, 540, 519, 476, 2918, 20878, 13413, 269, 634, 3390, 540, 20408, 9465, 3648, 5540, 519, 3432, 540, 519, 8905, 780, 763, 2601, 585, 713, 568, 711, 1152, 519, 1249, 540, 9561, 942, 593, 519, 21677, 3294, 267, 855, 849, 519, 991, 585, 10231, 1310, 8429, 621, 780, 10907, 5120, 566, 543, 10231, 3928, 538, 7823, 21891, 616, 1454, 1447, 1271, 982, 1346, 538, 4155, 21891, 269, 1717, 267, 952, 649, 616, 6158, 827, 606, 607, 1417, 610, 513, 1164, 18286, 3296, 540, 519, 3950, 267, 713, 8984, 2501, 547, 519, 2062, 269, 634, 6205, 538, 936, 743, 12177, 267, 676, 513, 2864, 3978, 14345, 267, 568, 519, 476, 2918, 20878, 14743, 780, 1103, 1840, 267, 23960, 593, 476, 3066, 20878, 14743, 786, 581, 3648, 9875, 9308, 267, 799, 568, 3833, 24858, 269, 898, 568, 849, 2556, 547, 2161, 827, 519, 6172, 2125, 538, 2489, 269, 1452, 2609, 540, 519, 3950, 616, 4443, 547, 1780, 593, 476, 2918, 20878, 14743, 269, 6168, 476, 2767, 780, 276, 20878, 14743, 267, 621, 568, 4502, 15663, 602, 1934, 789, 6336, 3833, 513, 2603, 547, 476, 2918, 20878, 14743, 267, 23578, 547, 519, 8956, 762, 1647, 780, 3080, 540, 519, 25041, 6486, 538, 9518, 1359, 519, 11332, 2344, 609, 476, 3066, 20878, 14743, 729, 5140, 17945, 269, 634, 1482, 3815, 5129, 883, 519, 3946, 540, 519, 1007, 476, 2767, 269, 276, 20878, 14743, 269, 6270, 10832, 616, 3177, 676, 519, 3815, 540, 3152, 3346, 609, 519, 2666, 780, 2005, 568, 1360, 2352, 547, 2015, 713, 8984, 538, 2338, 267, 2094, 519, 9511, 540, 519, 12285, 543, 519, 1826, 540, 4155, 2627, 723, 513, 1713, 3310, 593, 713, 1184, 269, 5136, 2365, 538, 2474, 540, 17945, 568, 519, 1249, 602, 519, 476, 2918, 20878, 14743, 616, 18848, 3101, 3297, 780, 1607, 7678, 2982, 519, 6207, 5821, 540, 891, 14743, 538, 1978, 14964, 6163, 780, 8310, 855, 711, 2547, 568, 519, 31115, 779, 2208, 3815, 269, 901, 568, 513, 8984, 602, 814, 4371, 1394, 519, 18735, 540, 476, 3066, 20878, 21891, 3833, 513, 3787, 269, 1082, 5433, 13943, 593, 5458, 21891, 269, 769, 713, 2013, 267, 519, 476, 2767, 269, 276, 20878, 14583, 2488, 606, 4244, 547, 519, 4540, 1804, 2914, 31856, 3898, 780, 2005, 568, 2693, 602, 1256, 1310, 12570, 741, 2115, 2687, 547, 519, 4330, 7355, 267, 519, 11332, 729, 711, 5697, 269, 769, 713, 2013, 267, 596, 991, 547, 1413, 693, 3388, 689, 513, 2864, 1033, 3737, 1448, 540, 2070, 269, 1924, 596, 666, 17412, 519, 3003, 1699, 2344, 547, 1079, 1292, 3681, 281, 476, 2767, 269, 276, 20878, 543, 476, 3066, 20878, 14743, 269, 634, 5449, 723, 1713, 5383, 538, 2474, 540, 936, 743, 12177, 267, 811, 23603, 762, 543, 14402, 780, 22746, 30158, 786, 849, 581, 1360, 10375, 585, 1004, 540, 2110, 588, 1155, 543, 18798, 540, 5347, 14964, 269, 681, 11107, 945, 3442, 476, 3066, 20878, 14743, 786, 723, 1732, 17945, 543, 21677, 7829, 269, 769, 1840, 547, 519, 11393, 4330, 4505, 267, 7406, 5957, 786, 581, 16609, 267, 4352, 713, 568, 9104, 730, 585, 676, 519, 1732, 2783, 540, 519, 12285, 269, 476, 2918, 20878, 14743, 616, 811, 2693, 711, 513, 3791, 4781, 267, 855, 513, 2841, 3218, 476, 2767, 780, 2162, 18789, 1975, 5803, 20099, 681, 17526, 1215, 547, 12763, 513, 1975, 5803, 692, 7661, 267, 594, 1131, 899, 547, 4063, 602, 519, 14743, 540, 519, 1007, 3898, 616, 1869, 4502, 3843, 856, 269, 674, 753, 540, 476, 2918, 20878, 14743, 786, 9090, 2648, 519, 2640, 519, 1007, 2203, 814, 547, 2709, 269, 28900, 267, 596, 1058, 711, 19060, 547, 12235, 707, 11332, 883, 513, 25087, 267, 855, 596, 1058, 9090, 1589, 827, 519, 1985, 835, 780, 8196, 995, 1344, 281, 1699, 585, 2533, 692, 1892, 645, 5390, 2193, 23934, 538, 918, 773, 341, 454, 1892, 20676, 532, 2866, 692, 2162, 476, 3066, 10759, 692, 12640, 1564, 7893, 476, 3066, 6279, 616, 513, 5266, 1007, 3044, 267, 855, 789, 723, 2907, 7307, 547, 20630, 519, 2344, 269, 1358, 616, 4742, 811, 543, 811, 2442, 1169, 1032, 267, 607, 789, 616, 1390, 585, 7823, 21891, 267, 607, 1134, 607, 585, 6972, 543, 4155, 21891, 780, 1103, 2489, 267, 519, 2298, 543, 4313, 540, 14964, 5673, 711, 1152, 593, 519, 2450, 540, 519, 14743, 267, 855, 849, 593, 519, 8700, 540, 519, 18646, 543, 519, 2604, 538, 519, 20830, 780, 5194, 1271, 1448, 568, 602, 519, 18219, 543, 3677, 519, 14743, 267, 519, 811, 2352, 621, 568, 547, 17108, 519, 11332, 267, 855, 952, 596, 723, 2907, 16309, 267, 1287, 519, 3432, 786, 581, 1454, 2362, 982, 602, 540, 513, 17919, 609, 4130, 8006, 14743, 780, 1103, 1840, 267, 3828, 842, 29794, 630, 553, 476, 3066, 20878, 14743, 616, 1572, 264, 616, 1454, 1732, 693, 12003, 609, 1585, 27894, 267, 10007, 543, 824, 9465, 267, 799, 1797, 602, 519, 7814, 626, 786, 581, 1454, 1447, 3170, 580, 4240, 689, 14964, 780, 763, 1249, 568, 602, 1282, 741, 10715, 267, 17919, 678, 15501, 543, 18646, 723, 22734, 513, 1297, 540, 23009, 4680, 269, 936, 267, 972, 616, 693, 2547, 1079, 1455, 16287, 1949, 281, 3864, 543, 2757, 269, 1306, 513, 1267, 267, 519, 4890, 7516, 540, 519, 14743, 543, 18646, 949, 711, 6474, 519, 24795, 8612, 593, 873, 269, 1809, 513, 2143, 2079, 540, 713, 3390, 568, 5310, 3564, 519, 9165, 540, 713, 2376, 780, 11764, 2719, 909, 267, 649, 666, 2161, 602, 519, 8006, 540, 519, 14743, 609, 799, 519, 17919, 568, 9280, 267, 540, 1576, 267, 5540, 519, 11878, 2298, 267, 855, 711, 865, 1454, 607, 547, 8936, 1454, 2956, 547, 621, 269, 634, 4313, 540, 15203, 2864, 5673, 593, 519, 7814, 626, 543, 1010, 14964, 1377, 267, 607, 1134, 607, 593, 519, 2953, 10591, 13346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2162, 25153, 4916, 1849, 17064, 476, 1001, 279, 7726, 476, 866, 692, 9743, 15297, 692, 19138, 519, 1739, 3349, 5402, 543, 2626, 519, 2055, 2016, 2630, 10778, 10831, 540, 1053, 4974, 538, 1114, 31399, 625, 538, 18599, 5238, 692, 9223, 476, 866, 692, 258, 1548, 568, 519, 6871, 540, 1053, 4974, 7177, 538, 20576, 595, 547, 519, 2698, 1053, 540, 782, 5238, 4974, 7177, 7790, 630, 1037, 539, 547, 519, 14282, 8870, 2020, 11405, 692, 13707, 1053, 4974, 7177, 538, 20576, 595, 815, 476, 13932, 692, 13707, 1053, 540, 782, 5238, 4974, 7177, 692, 284, 476, 7176, 1341, 476, 14991, 1341, 476, 13932, 1341, 476, 5780, 1341, 476, 10436, 1341, 476, 12208, 1341, 476, 15946, 815, 476, 279, 2641, 692, 27784, 22490, 4939, 815, 6695, 2765, 346, 13932, 2410, 279, 2641, 348, 1422, 9392, 476, 1911, 815, 476, 866, 269, 9032, 1422, 260, 9681, 11377, 13627, 476, 736, 1422, 260, 2330, 0, 283, 5471, 320, 5291, 268, 25406, 6889, 10915, 3306, 257, 1543, 6889, 272, 282, 29250, 284, 270, 7224, 329, 822, 2444, 2815, 270, 257, 11417, 2791, 616, 13156, 606, 4587, 4528, 540, 713, 10417, 269, 3619, 547, 519, 5767, 4528, 780, 1012, 5410, 8454, 543, 6404, 2338, 609, 899, 543, 7429, 32159, 780, 271, 14999, 3682, 28698, 454, 3682, 28698, 454, 271, 14999, 11754, 543, 16265, 847, 17773, 543, 24908, 10606, 692, 2108, 16100, 693, 713, 2223, 7066, 341, 528, 608, 13094, 678, 5241, 883, 2875, 14643, 5870, 835, 12784, 269, 769, 1010, 7916, 646, 4371, 1896, 10833, 780, 307, 516, 341, 528, 11074, 543, 2322, 782, 540, 519, 10833, 538, 519, 1647, 540, 519, 3349, 269, 1261, 729, 1989, 15619, 689, 1274, 547, 1274, 780, 2108, 16100, 267, 6004, 269, 6182, 1307, 519, 8169, 617, 1014, 1336, 782, 540, 891, 10833, 540, 23445, 538, 519, 4558, 4055, 269, 1261, 1767, 649, 666, 723, 873, 585, 1863, 269, 1284, 723, 1269, 273, 1422, 2765, 346, 272, 2410, 273, 4151, 10833, 540, 23445, 1934, 543, 1776, 4399, 2765, 346, 274, 2410, 275, 4151, 540, 513, 4216, 2223, 7066, 341, 528, 1767, 32127, 780, 2108, 15124, 960, 256, 1284, 849, 10288, 513, 2013, 540, 23445, 543, 972, 616, 476, 1839, 10833, 538, 513, 2013, 269, 3767, 649, 786, 723, 513, 2603, 540, 23445, 2223, 23765, 1767, 780, 22081, 1082, 798, 649, 723, 15587, 9495, 26864, 800, 4280, 780, 2005, 568, 942, 547, 1451, 827, 6824, 1840, 269, 14572, 713, 1966, 786, 7048, 593, 707, 2702, 547, 1039, 8454, 269, 769, 713, 10417, 267, 596, 786, 1451, 875, 547, 1039, 543, 10208, 8454, 269, 1879, 8737, 267, 596, 786, 1294, 713, 1966, 1586, 865, 581, 2386, 547, 2628, 2673, 3007, 2439, 2162, 30334, 692, 3528, 713, 942, 538, 2979, 1362, 596, 723, 1044, 2324, 609, 8454, 585, 513, 1279, 942, 269, 8616, 8454, 616, 1419, 513, 1747, 540, 6560, 585, 1082, 1053, 269, 1284, 1419, 1589, 538, 2474, 540, 2898, 2338, 543, 711, 538, 2474, 540, 8454, 780, 288, 6824, 568, 513, 1297, 602, 4408, 513, 851, 540, 513, 2898, 610, 513, 851, 540, 513, 1895, 780, 2252, 513, 13551, 568, 4399, 2765, 346, 272, 2410, 274, 4151, 26484, 267, 621, 1797, 602, 952, 519, 13551, 941, 5258, 883, 1614, 3160, 2694, 267, 835, 540, 1346, 2694, 1131, 581, 26484, 269, 4107, 8454, 786, 4564, 2338, 1447, 982, 476, 272, 267, 2495, 602, 519, 19362, 568, 1447, 982, 519, 14009, 780, 2414, 2099, 513, 1297, 3152, 982, 476, 272, 267, 649, 946, 606, 16789, 6824, 610, 513, 6404, 1297, 780, 2304, 16789, 6824, 814, 513, 19362, 602, 568, 3677, 982, 922, 14009, 267, 971, 607, 4399, 2765, 346, 276, 2410, 274, 4151, 16317, 1607, 6824, 666, 849, 581, 2854, 607, 519, 6404, 1297, 1269, 272, 1422, 2765, 346, 273, 2410, 274, 4151, 16317, 288, 6404, 1297, 568, 513, 1297, 602, 814, 1312, 17783, 543, 2694, 267, 865, 596, 786, 1294, 513, 2898, 1297, 543, 513, 6824, 609, 6404, 2338, 780, 4131, 781, 1491, 513, 1413, 693, 4946, 543, 18946, 8454, 780, 1692, 798, 649, 1039, 543, 10208, 8454, 2496, 11039, 267, 519, 1101, 3364, 547, 1413, 693, 568, 519, 5377, 1297, 540, 519, 8454, 602, 596, 616, 4946, 610, 18946, 269, 634, 5377, 1297, 610, 14009, 6645, 596, 875, 1082, 2694, 519, 2898, 568, 5258, 883, 269, 1403, 519, 14009, 568, 513, 1614, 267, 1287, 649, 917, 602, 519, 2898, 568, 5258, 883, 1614, 2694, 269, 634, 1283, 1297, 610, 19362, 6645, 596, 875, 1082, 2694, 596, 723, 856, 540, 519, 2898, 780, 2252, 519, 32159, 540, 519, 8454, 1373, 3773, 616, 519, 1482, 267, 1287, 519, 17783, 616, 5258, 519, 1482, 1259, 865, 649, 666, 3274, 1039, 610, 10208, 519, 6746, 2209, 780, 7445, 2765, 346, 272, 2410, 279, 15396, 1422, 2765, 346, 273, 2410, 279, 348, 815, 1422, 2765, 346, 274, 2410, 279, 10592, 2080, 596, 666, 1294, 602, 1312, 8454, 723, 32159, 540, 476, 279, 267, 865, 649, 666, 3274, 1039, 519, 6746, 2209, 780, 2171, 666, 849, 10208, 8454, 780, 7445, 2765, 346, 1015, 2410, 1321, 18511, 1422, 2765, 346, 274, 2410, 1321, 348, 815, 1422, 2765, 346, 278, 2410, 1321, 10592, 5629, 1586, 938, 32159, 616, 1455, 269, 1924, 649, 666, 3274, 10208, 519, 6746, 2209, 780, 1432, 952, 519, 32159, 616, 711, 519, 1482, 2496, 1103, 713, 2013, 267, 649, 723, 547, 1265, 513, 1455, 14009, 543, 556, 4067, 519, 8454, 538, 2474, 540, 713, 1455, 14009, 269, 589, 1259, 547, 1589, 827, 713, 568, 607, 3160, 8454, 269, 6733, 693, 519, 8454, 2630, 780, 7445, 2765, 346, 272, 2410, 273, 18098, 2765, 346, 275, 2410, 279, 10592, 4322, 1079, 8454, 616, 3160, 269, 901, 1797, 602, 789, 1312, 2099, 519, 1482, 851, 540, 519, 2898, 269, 634, 6824, 835, 28451, 814, 3274, 1044, 26948, 538, 2474, 540, 552, 662, 2195, 269, 901, 568, 519, 1482, 3364, 602, 649, 798, 950, 4466, 1455, 32159, 269, 1284, 556, 4067, 519, 8454, 538, 2474, 540, 519, 1455, 14009, 780, 11754, 281, 4399, 2765, 346, 272, 2410, 275, 23180, 2765, 346, 273, 2410, 276, 10592, 5575, 267, 1265, 513, 1455, 14009, 676, 4466, 519, 2547, 1455, 2789, 540, 519, 32159, 267, 476, 275, 543, 476, 276, 780, 763, 1101, 1906, 23385, 540, 476, 275, 616, 476, 275, 267, 476, 279, 267, 476, 1321, 267, 476, 1626, 267, 476, 736, 269, 634, 1101, 1906, 23385, 540, 476, 276, 616, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 269, 1924, 519, 2547, 1455, 2789, 568, 476, 736, 780, 3086, 267, 1265, 875, 547, 556, 4067, 1142, 6824, 547, 513, 6824, 609, 476, 736, 607, 519, 14009, 780, 2690, 519, 1101, 6824, 267, 596, 991, 547, 9062, 519, 14009, 676, 476, 276, 547, 1205, 513, 14009, 540, 476, 736, 269, 1924, 267, 9062, 519, 1101, 6824, 676, 519, 6697, 540, 476, 272, 267, 4399, 2765, 346, 276, 2410, 276, 4151, 16317, 7445, 2765, 346, 272, 2410, 275, 348, 1422, 9392, 1422, 2765, 346, 276, 2410, 276, 348, 815, 1422, 2765, 346, 276, 2410, 736, 10592, 3086, 798, 519, 1482, 585, 519, 824, 6824, 780, 2791, 991, 547, 9062, 519, 14009, 676, 476, 275, 547, 1205, 513, 14009, 540, 476, 736, 269, 1924, 267, 9062, 519, 2034, 6824, 676, 519, 6697, 540, 476, 272, 267, 4399, 2765, 346, 275, 2410, 275, 4151, 16317, 7445, 2765, 346, 273, 2410, 276, 348, 1422, 9392, 1422, 2765, 346, 275, 2410, 275, 18098, 2765, 346, 279, 2410, 736, 10592, 7445, 2765, 346, 276, 2410, 736, 348, 1422, 9392, 1422, 2765, 346, 279, 2410, 736, 18098, 2765, 346, 1724, 2410, 736, 10592, 5978, 2626, 568, 4399, 2765, 346, 1724, 2410, 736, 4151, 16317, 2171, 666, 849, 960, 609, 6404, 2338, 543, 8454, 269, 1703, 568, 606, 3773, 1900, 950, 2324, 609, 713, 4999, 780, 8138, 339, 847, 281, 1269, 273, 21702, 346, 278, 2410, 279, 32757, 2765, 346, 273, 2410, 274, 10592, 5575, 1689, 519, 6404, 1297, 547, 606, 16789, 6824, 269, 1677, 798, 713, 267, 9062, 519, 14009, 676, 519, 2898, 1297, 267, 1287, 1039, 519, 19362, 780, 259, 279, 1422, 9392, 476, 273, 266, 278, 1299, 815, 1626, 266, 278, 284, 2537, 11138, 273, 21702, 346, 278, 2410, 279, 348, 1299, 815, 1422, 2765, 346, 2537, 2410, 279, 10592, 10190, 1265, 513, 1455, 14009, 780, 763, 1101, 1906, 23385, 540, 476, 279, 616, 476, 279, 267, 476, 1626, 267, 476, 2190, 269, 4595, 476, 2190, 568, 849, 16883, 676, 476, 274, 267, 621, 568, 519, 2547, 1455, 2789, 780, 305, 17575, 1142, 6824, 607, 513, 6824, 609, 519, 1455, 14009, 780, 7445, 2765, 346, 2537, 2410, 279, 348, 1422, 9392, 1422, 2765, 346, 274, 2410, 274, 348, 17851, 1422, 2765, 346, 7597, 2410, 2190, 4153, 11138, 2765, 346, 273, 2410, 274, 348, 1422, 9392, 1422, 2765, 346, 279, 2410, 279, 348, 17851, 1422, 2765, 346, 1626, 2410, 2190, 10592, 3086, 1265, 519, 3017, 780, 7445, 2765, 346, 7597, 2410, 2190, 32757, 2765, 346, 1626, 2410, 2190, 18098, 2765, 346, 7871, 2410, 2190, 10592, 30860, 602, 519, 2626, 568, 606, 16789, 6824, 269, 1284, 666, 1406, 4734, 621, 713, 1259, 780, 7661, 267, 14458, 519, 3017, 547, 513, 6404, 1297, 780, 7445, 2765, 346, 7871, 2410, 2190, 13157, 273, 21702, 346, 276, 2410, 2190, 10592, 12648, 513, 1906, 3764, 547, 2328, 930, 4967, 827, 4946, 543, 18946, 8454, 269, 2142, 2386, 547, 2328, 1524, 519, 3268, 547, 15646, 5446, 8454, 609, 1455, 32159, 780, 2971, 7151, 589, 692, 8138, 339, 847, 281, 4399, 2765, 346, 275, 2410, 280, 32757, 2765, 346, 272, 2410, 277, 10592, 11405, 281, 1109, 4399, 2765, 346, 276, 2410, 1240, 10592, 2971, 7151, 645, 692, 11754, 281, 4399, 2765, 346, 1015, 2410, 1321, 23180, 2765, 346, 273, 2410, 277, 10592, 11405, 281, 1269, 272, 1422, 2765, 346, 272, 2410, 277, 10592, 2971, 7151, 595, 692, 8138, 339, 847, 281, 4399, 2765, 346, 275, 2410, 279, 32757, 2765, 346, 272, 2410, 275, 10592, 11405, 281, 4399, 2765, 346, 272, 2410, 275, 10592, 3086, 1577, 781, 979, 1394, 547, 519, 14196, 689, 519, 4098, 540, 519, 10417, 780, 2414, 4194, 713, 1966, 267, 649, 991, 547, 1265, 513, 2040, 269, 589, 2040, 1797, 1840, 267, 865, 649, 616, 2469, 547, 4137, 856, 875, 1082, 10833, 540, 23445, 519, 2875, 14643, 814, 538, 782, 780, 5575, 267, 1577, 779, 1265, 519, 2040, 540, 519, 970, 6652, 780, 763, 1053, 941, 2016, 1269, 273, 1422, 2765, 346, 272, 2410, 273, 4151, 10833, 540, 23445, 543, 1776, 4399, 2765, 346, 274, 2410, 275, 4151, 540, 513, 4216, 780, 259, 273, 1422, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 2765, 346, 274, 2410, 275, 10592, 2791, 1522, 581, 2111, 547, 2347, 713, 2979, 538, 707, 2212, 610, 596, 1522, 991, 547, 798, 621, 856, 519, 1279, 1259, 780, 2690, 519, 1279, 1259, 267, 649, 556, 4067, 1142, 6824, 269, 3689, 267, 649, 1118, 519, 6404, 1297, 883, 606, 16789, 6824, 780, 7445, 2765, 346, 276, 2410, 273, 23180, 2765, 346, 274, 2410, 275, 10592, 9202, 267, 649, 556, 4067, 891, 538, 2474, 540, 2185, 2195, 2094, 2185, 568, 519, 2547, 1455, 14009, 780, 7445, 2765, 346, 1015, 2410, 275, 23180, 2765, 346, 274, 2410, 275, 348, 815, 1422, 2765, 346, 1724, 2410, 275, 348, 815, 274, 1422, 2765, 346, 272, 2410, 275, 10592, 3086, 649, 666, 1491, 519, 2040, 540, 519, 970, 6652, 543, 1039, 621, 547, 519, 1297, 540, 10833, 538, 513, 2013, 269, 2142, 6297, 602, 596, 1810, 1406, 1039, 621, 547, 519, 1297, 540, 2665, 269, 1284, 616, 6158, 827, 10833, 1934, 780, 2467, 616, 476, 1839, 10833, 538, 476, 272, 2013, 780, 763, 1053, 786, 723, 513, 2040, 540, 1269, 2764, 1422, 2765, 346, 272, 2410, 275, 4151, 10833, 540, 23445, 780, 2162, 18500, 692, 293, 3555, 454, 10517, 637, 757, 513, 851, 540, 513, 2898, 563, 18719, 704, 6824, 454, 320, 6824, 1141, 519, 19362, 568, 3152, 982, 519, 14009, 269, 898, 1797, 602, 649, 723, 811, 982, 835, 2898, 6719, 563, 300, 12089, 7089, 454, 320, 2898, 1297, 543, 513, 6824, 2854, 1927, 563, 291, 523, 7631, 1807, 454, 1492, 5377, 1297, 538, 513, 6824, 6645, 596, 875, 1082, 2694, 519, 2898, 814, 1044, 5258, 883, 563, 301, 10179, 1807, 454, 1492, 1283, 1297, 538, 513, 6824, 269, 898, 6645, 596, 875, 1082, 2694, 596, 723, 856, 540, 519, 2898, 780, 2162, 2871, 3660, 6657, 692, 2080, 568, 835, 585, 596, 547, 2119, 593, 707 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10869, 964, 4405, 566, 630, 305, 305, 267, 476, 271, 269, 11011, 282, 16275, 267, 476, 271, 269, 8618, 267, 476, 272, 269, 4391, 1040, 1879, 12256, 6822, 730, 840, 6016, 8271, 941, 16934, 689, 519, 2079, 267, 519, 3017, 6603, 8579, 4644, 630, 305, 305, 267, 476, 271, 269, 4375, 282, 16275, 267, 476, 271, 269, 866, 267, 476, 271, 269, 10037, 1040, 769, 519, 3932, 267, 519, 4589, 7074, 602, 741, 2689, 729, 1759, 593, 2079, 540, 1152, 476, 10482, 2550, 543, 5227, 602, 3677, 19747, 6417, 8062, 581, 5340, 547, 3313, 2436, 972, 729, 513, 3017, 1063, 6237, 543, 2489, 23236, 269, 634, 4589, 849, 7074, 519, 7687, 540, 519, 11983, 23236, 4480, 267, 1519, 922, 1164, 5821, 2557, 630, 12671, 476, 1015, 8472, 543, 519, 3908, 942, 540, 10551, 23236, 630, 2004, 547, 476, 2568, 3764, 1916, 288, 17053, 19747, 1353, 1210, 2489, 23236, 543, 513, 1309, 644, 531, 3625, 538, 5449, 16349, 12256, 2348, 3824, 340, 1400, 1200, 11844, 7816, 1705, 711, 1397, 1022, 3017, 538, 4093, 1063, 519, 946, 540, 694, 341, 1993, 331, 584, 2033, 543, 964, 4148, 584, 2033, 269, 634, 4589, 5227, 513, 1769, 2489, 23236, 609, 606, 23254, 1049, 8665, 543, 513, 1309, 644, 531, 3625, 1228, 585, 1928, 8323, 585, 1163, 8145, 1155, 12256, 2348, 3824, 340, 1400, 1200, 11844, 7816, 269, 17497, 267, 1100, 13618, 6818, 3823, 519, 946, 540, 6237, 23236, 1152, 630, 4944, 1400, 610, 1309, 644, 531, 1070, 2489, 23236, 1152, 267, 610, 513, 5916, 6237, 23236, 543, 2489, 23236, 4480, 585, 713, 1455, 5650, 538, 513, 1360, 7925, 2551, 563, 290, 7596, 531, 3625, 568, 519, 1034, 4122, 5340, 6237, 606, 20469, 4480, 538, 1453, 1317, 621, 568, 3362, 4121, 267, 6325, 267, 543, 2500, 269, 6970, 644, 531, 3625, 568, 7850, 585, 782, 2539, 17119, 640, 543, 1082, 2539, 14159, 23361, 269, 898, 568, 711, 5227, 585, 23361, 1657, 519, 570, 280, 17172, 727, 630, 3518, 559, 673, 10260, 1040, 898, 568, 4122, 5340, 538, 606, 652, 2867, 1242, 1453, 538, 519, 14694, 1232, 889, 7978, 2990, 855, 666, 849, 581, 5340, 538, 519, 12155, 2990, 269, 589, 2110, 581, 767, 3834, 25866, 545, 13549, 540, 519, 10545, 8006, 630, 2420, 268, 547, 476, 1839, 8566, 13549, 264, 568, 3335, 1031, 585, 713, 3625, 269, 590, 2403, 2966, 1309, 644, 531, 19271, 609, 513, 2110, 581, 767, 543, 513, 2511, 339, 616, 2139, 269, 634, 5485, 1537, 554, 9332, 639, 568, 27621, 730, 267, 543, 519, 13549, 568, 5116, 538, 519, 1034, 9938, 2711, 851, 540, 519, 5485, 1537, 554, 9332, 639, 693, 513, 476, 3393, 268, 547, 476, 2568, 24266, 5086, 547, 519, 2960, 269, 2991, 519, 13549, 22815, 806, 519, 5485, 10635, 665, 1097, 29701, 9245, 267, 519, 13549, 568, 4359, 513, 2417, 476, 273, 547, 476, 276, 6515, 547, 2327, 8623, 1116, 4087, 269, 5917, 3496, 519, 13549, 2417, 949, 2333, 519, 1981, 540, 15466, 14047, 675, 610, 11371, 7752, 5632, 13307, 269, 634, 3943, 6441, 4833, 5980, 540, 17925, 1323, 15589, 328, 5505, 630, 4696, 2752, 303, 9128, 264, 1353, 19175, 1947, 8947, 741, 1995, 609, 476, 2190, 267, 30156, 6237, 606, 652, 12060, 538, 519, 2038, 476, 1960, 271, 338, 269, 6970, 644, 531, 7161, 20039, 585, 827, 476, 2568, 260, 540, 519, 5773, 5340, 267, 782, 824, 15672, 7161, 20039, 585, 827, 476, 736, 9077, 543, 2199, 22467, 1674, 20039, 585, 476, 736, 10065, 1358, 4080, 513, 28658, 2557, 585, 782, 7161, 547, 581, 476, 271, 269, 280, 829, 476, 1911, 271, 267, 543, 782, 519, 8374, 941, 5634, 269, 589, 1246, 5346, 547, 713, 3355, 1867, 1336, 602, 267, 540, 519, 5176, 476, 1789, 267, 1822, 6237, 7161, 267, 1309, 644, 531, 7161, 20039, 585, 476, 4097, 260, 540, 7161, 267, 6466, 623, 301, 24871, 20039, 585, 519, 824, 476, 5780, 10065, 901, 12006, 519, 2810, 946, 540, 15672, 8229, 2553, 538, 1453, 269, 1290, 4124, 941, 1586, 7074, 547, 581, 5634, 609, 513, 2557, 540, 476, 272, 269, 273, 829, 476, 1911, 271, 7161, 282, 3844, 7161, 1185, 513, 2362, 28658, 2557, 269, 17823, 10117, 2550, 2919, 13487, 17219, 689, 519, 2199, 606, 20469, 267, 476, 1015, 1185, 538, 30541, 550, 11983, 512, 2355, 267, 543, 2947, 2919, 10151, 8229, 7063, 269, 769, 1776, 20894, 540, 782, 476, 1015, 267, 14321, 8623, 584, 1023, 5116, 538, 519, 2136, 8003, 936, 513, 476, 272, 4458, 1974, 267, 476, 6321, 8374, 941, 7074, 538, 713, 20165, 267, 27548, 606, 11841, 540, 476, 272, 538, 476, 6245, 269, 12866, 540, 891, 941, 28439, 607, 3978, 630, 4532, 2064, 540, 476, 272, 538, 476, 1220, 271, 1070, 543, 835, 729, 10770, 693, 476, 1321, 3275, 630, 4532, 2064, 540, 476, 272, 538, 476, 1015, 267, 1822, 1040, 5565, 2550, 2919, 606, 8623, 1116, 26252, 267, 835, 2919, 513, 2022, 323, 1116, 14047, 675, 15677, 8506, 513, 1973, 15429, 267, 835, 2919, 23971, 1143, 267, 543, 1776, 835, 2919, 1309, 19085, 1226, 2088, 6794, 6281, 547, 606, 27235, 13950, 9570, 630, 22764, 2053, 519, 5497, 10240, 639, 264, 540, 2199, 606, 20469, 563, 292, 344, 637, 543, 9164, 941, 519, 1101, 547, 2268, 1973, 2157, 540, 1207, 335, 643, 659, 12578, 1310, 1309, 644, 531, 7245, 538, 1453, 269, 10765, 1239, 1397, 602, 1973, 2157, 616, 1369, 2922, 7182, 950, 476, 272, 20853, 21515, 540, 476, 271, 269, 1839, 260, 1207, 335, 643, 659, 12578, 610, 476, 271, 269, 273, 260, 887, 335, 643, 659, 12578, 616, 1031, 585, 1309, 644, 531, 3625, 13307, 269, 5637, 476, 271, 269, 273, 260, 887, 335, 643, 659, 12578, 543, 476, 271, 269, 10219, 260, 610, 476, 271, 269, 1839, 260, 1207, 335, 643, 659, 12578, 723, 1044, 14916, 1031, 547, 1685, 519, 1309, 644, 531, 3625, 269, 681, 641, 643, 659, 12578, 814, 513, 2539, 11841, 540, 5179, 3625, 1228, 543, 513, 10930, 9043, 3379, 609, 1207, 335, 643, 659, 12578, 538, 2013, 540, 23139, 703, 9545, 6018, 13297, 269, 589, 9570, 540, 827, 476, 272, 20853, 21515, 547, 513, 5021, 540, 476, 1839, 20853, 568, 7850, 585, 1034, 23053, 563, 289, 4923, 6199, 543, 9164, 941, 519, 1101, 547, 4766, 3811, 13307, 540, 513, 5247, 25714, 8623, 1116, 29259, 3842, 519, 1309, 644, 531, 8905, 269, 4427, 2425, 550, 2090, 4951, 713, 4480, 547, 581, 28761, 3811, 950, 513, 2511, 1540, 8623, 1116, 29259, 729, 1031, 269, 634, 4480, 814, 513, 2362, 1967, 2557, 950, 5340, 538, 1453, 7820, 982, 476, 272, 1032, 540, 2085, 269, 645, 4923, 6199, 543, 9164, 849, 6594, 519, 14278, 758, 27282, 540, 476, 271, 269, 273, 260, 887, 335, 643, 659, 12578, 30376, 538, 19440, 919, 543, 12256, 543, 1336, 602, 519, 11919, 2157, 540, 887, 335, 643, 659, 12578, 941, 2630, 519, 6700, 6757, 1377, 540, 476, 271, 269, 23841, 8406, 299, 269, 1717, 267, 19440, 919, 1705, 1397, 513, 2362, 5834, 982, 519, 12256, 585, 796, 20129, 887, 335, 643, 659, 12578, 2157, 269, 2201, 519, 4493, 540, 741, 8343, 267, 519, 4589, 12167, 519, 946, 540, 513, 9570, 540, 476, 271, 269, 273, 8406, 21515, 10774, 337, 585, 12256, 7820, 982, 476, 5197, 2395, 2025, 543, 476, 271, 269, 275, 8406, 21515, 10774, 337, 585, 12256, 4587, 982, 476, 5197, 2395, 630, 7612, 476, 3583, 268, 272, 15426, 2725, 684, 1512, 543, 9164, 11117, 519, 14278, 758, 27282, 540, 1207, 335, 643, 659, 12578, 1282, 606, 8623, 1116, 30376, 538, 19440, 919, 543, 12256, 269, 1358, 6743, 693, 606, 30376, 2557, 540, 476, 271, 269, 23841, 8406, 21515, 10774, 337, 585, 476, 4366, 3108, 543, 1336, 1079, 12256, 547, 723, 513, 1973, 1377, 3152, 982, 476, 271, 269, 273, 8406, 13624, 630, 7612, 476, 3583, 268, 273, 15426, 2201, 519, 4493, 540, 713, 8343, 267, 789, 5227, 513, 9570, 540, 476, 271, 269, 274, 8406, 21515, 10774, 337, 585, 12256, 7820, 982, 476, 275, 3275, 540, 2085, 543, 513, 9570, 540, 476, 271, 269, 23841, 8406, 21515, 10774, 337, 585, 12256, 4587, 982, 476, 275, 3275, 540, 2085, 563, 2026, 7152, 676, 519, 3943, 1353, 267, 623, 301, 24871, 616, 11543, 538, 8560, 538, 519, 12963, 2551, 267, 543, 2810, 1239, 616, 6932, 547, 6542, 23250, 267, 12117, 267, 543, 3106, 538, 713, 2551, 269, 11153, 2090, 538, 1453, 723, 7152, 519, 3106, 267, 23250, 267, 543, 12117, 540, 623, 301, 24871, 269, 634, 5383, 540, 623, 301, 289, 1331, 3608, 267, 3135, 10391, 1387, 2471, 807, 267, 513, 6175, 538, 519, 991, 585, 17414, 6950, 267, 543, 18867, 267, 513, 6175, 538, 23776, 5829, 2427, 2360, 269, 7216, 5359, 540, 6237, 23236, 538, 12963, 2259, 1031, 519, 535, 553, 1017, 30390, 630, 335, 3591, 264, 4480, 547, 16005, 519, 2199, 606, 20469, 538, 519, 5551, 7077, 269, 901, 729, 4553, 676, 519, 946, 540, 15672, 8229, 8102, 2209, 547, 29360, 513, 5179, 3210, 950, 519, 13549, 729, 538, 2673, 16133, 547, 519, 8229, 269, 901, 4480, 568, 3908, 547, 519, 2101, 5179, 13285, 630, 324, 3052, 1421, 3185, 7394, 543, 1414, 1738, 264, 543, 729, 711, 10858, 547, 7161, 971, 607, 519, 24924, 1470, 3907, 1400, 3625, 543, 4050, 850, 3625, 267, 799, 616, 4122, 5340, 538, 1453, 269, 634, 1966, 609, 519, 20133, 5669, 543, 8229, 8102, 1807, 1700, 22372, 4485, 729, 602, 789, 1705, 711, 1683, 1022, 1344, 3823, 519, 6935, 540, 519, 8229, 547, 519, 7755, 334, 1456, 3889, 267, 4087, 540, 824, 1271, 5778, 341, 6018, 3889, 538, 519, 3148, 267, 610, 1683, 1022, 5955, 3823, 519, 10825, 540, 2199, 606, 20469, 538, 6935, 547, 519, 8229, 269, 634, 946, 540, 16953, 547, 1685, 623, 301, 289, 814, 15868, 519, 19995, 547, 723, 513, 2312, 14839, 540, 519, 8229, 543, 4478, 3889, 543, 2488, 3308, 21533, 540, 519, 10825, 540, 2199, 606, 20469, 3448, 547, 519, 8229, 563, 19575, 14647, 568, 4742, 606, 1271, 2460, 540, 2413, 4915, 269, 898, 568, 3246, 9439, 609, 513, 1907, 547, 2047, 14650, 3889, 1369, 519, 1560, 543, 2337, 13209, 21454, 610, 1463, 3797, 269, 898, 568, 1875, 514, 15230, 543, 814, 8766, 1761, 2427, 2360, 269, 22702, 609, 519, 824, 2553, 538, 2413, 2234, 5735, 267, 621, 568, 1360, 15409, 269, 8299, 14647, 2337, 538, 2199, 1944, 519, 8849, 3889, 543, 538, 13057, 519, 13549, 547, 519, 5497, 3077, 269, 898, 4679, 1967, 3928, 267, 4679, 519, 3432, 540, 12614, 540, 519, 3625, 267, 543, 24506, 519, 4320, 540, 2199, 606, 20469, 2877, 585, 623, 301, 289, 269, 8299, 14647, 6191, 616, 14949, 543, 12863, 547, 946, 982, 1354, 267, 519, 3593, 8818, 814, 1044, 16866, 267, 543, 1082, 616, 840, 32491, 4364, 547, 11126, 14839, 540, 13285, 543, 21729, 1529, 1155, 269, 6736, 922, 8897, 540, 946, 267, 2596, 2866, 568, 2556, 547, 2327, 3106, 543, 2333, 12117, 269, 14451, 4908, 5468, 2087, 519, 3239, 6571, 630, 1492, 2702, 547, 10646, 1079, 11105, 3615, 1040, 1717, 267, 607, 519, 4908, 4679, 267, 811, 540, 519, 16953, 11237, 568, 12842, 676, 519, 5420, 267, 543, 519, 11237, 3112, 23309, 4514, 3889, 269, 1280, 713, 2601, 267, 2362, 12451, 630, 324, 3052, 1421, 476, 278, 269, 276, 547, 476, 1428, 631, 13703, 264, 616, 1031, 547, 1683, 1434, 1469, 540, 21603, 3889, 971, 607, 519, 954, 2675, 531, 2940, 2909, 577, 658, 533, 2716, 639, 543, 519, 3185, 7394, 8229, 267, 6466, 2539, 12451, 630, 274, 547, 476, 278, 269, 276, 631, 13703, 264, 616, 3730, 538, 9196, 4514, 3889, 899, 519, 1414, 1738, 8229, 543, 519, 1102, 571, 743, 822, 7781, 2909, 577, 658, 533, 2716, 639, 269, 769, 1453, 267, 1317, 540, 741, 4130, 2450, 267, 519, 2362, 4908, 1098, 3027, 619, 666, 581, 1031, 547, 3239, 519, 1414, 1738, 8229, 543, 519, 1102, 571, 743, 822, 7781, 2909, 577, 658, 533, 2716, 639, 543, 786, 1683, 1732, 6571, 2592, 563, 305, 1961, 540, 13636, 1323, 17561, 26435, 676, 26277, 5669, 16323, 454, 6781, 12645, 9931, 2349, 4169, 454, 296, 331, 1470, 3907, 1400, 270, 296, 331, 1470, 1506, 335, 690, 770, 878, 715, 2925, 13332, 454, 763, 1034, 1455, 3625, 602, 814, 1044, 6594, 538, 12963, 6237, 23236, 568, 519, 24924, 1470, 3907, 1400, 270, 559, 1470, 1506, 335, 690, 770, 878, 630, 6579, 270, 296, 295, 264, 8229, 3625, 585, 3824, 340, 1400, 1200, 11844, 7816, 269, 634, 3312, 4480, 4330, 729, 519, 2582, 610, 5595, 1402, 4480, 538, 799, 519, 2199, 606, 20469, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 1134, 1634, 547, 723, 1770, 8953, 540, 19427, 585, 519, 4661, 6695, 13320, 12757, 25829, 2410, 272, 25829, 6525, 780, 10190, 692, 11377, 3847, 24689, 13320, 12757, 25829, 2410, 272, 25829, 4153, 2431, 347, 283, 272, 315, 858, 347, 343, 25829, 347, 283, 315, 6912, 273, 269, 2330, 0, 19340, 692, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 258, 13053, 781, 3689, 4521, 692, 6124, 2023, 781, 3689, 4521, 2829, 602, 606, 1843, 786, 2611, 693, 1964, 610, 538, 7833, 5163, 538, 513, 2786, 1899, 8259, 19500, 2390, 676, 606, 5007, 3196, 269, 898, 949, 581, 2938, 607, 513, 3948, 827, 24880, 267, 602, 3615, 786, 2611, 538, 741, 1533, 540, 5163, 8259, 513, 3196, 6411, 547, 1689, 519, 5163, 269, 7102, 1689, 538, 5163, 3322, 606, 10231, 267, 543, 1287, 13053, 781, 5822, 4521, 10039, 269, 634, 3689, 4521, 1223, 581, 9763, 607, 1175, 513, 2027, 2013, 540, 519, 5822, 4521, 585, 799, 519, 2121, 5007, 3196, 568, 4642, 267, 855, 602, 11438, 930, 16912, 6877, 827, 519, 7406, 540, 4704, 538, 799, 519, 5163, 568, 1373, 9763, 269, 634, 6898, 540, 1312, 519, 5822, 4521, 543, 519, 3689, 4521, 1934, 616, 1095, 11167, 602, 519, 7403, 616, 1373, 1500, 538, 513, 4704, 7406, 799, 568, 711, 3294, 23960, 269, 6270, 513, 7406, 568, 1419, 5219, 547, 607, 606, 834, 514, 1068, 658, 7406, 2668, 634, 3948, 540, 891, 4031, 1590, 581, 20902, 952, 596, 616, 7231, 609, 513, 15914, 4704, 7406, 610, 1022, 7406, 799, 568, 23960, 780, 6124, 2023, 781, 3689, 4521, 3568, 6286, 827, 519, 4909, 15340, 540, 519, 7122, 538, 602, 513, 1533, 540, 5163, 538, 513, 2786, 1899, 1590, 581, 1175, 607, 834, 11499, 257, 607, 1373, 693, 1964, 269, 1403, 606, 1843, 568, 693, 1964, 538, 835, 7406, 540, 4704, 267, 621, 786, 2408, 547, 581, 3001, 538, 513, 2786, 1899, 547, 606, 20626, 538, 513, 4704, 7406, 799, 568, 3001, 676, 519, 1843, 269, 1703, 568, 1100, 1259, 547, 2161, 799, 4704, 7406, 568, 834, 338, 2133, 2580, 865, 782, 3586, 6991, 4704, 14604, 1590, 581, 6697, 780, 19340, 692, 22709, 593, 5569, 1383, 780, 6124, 2023, 781, 4031, 2035, 780, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 258, 2578, 686, 7065, 531, 10414, 7151, 692, 763, 5569, 1590, 1683, 519, 2556, 1298, 686, 7065, 531, 3196, 547, 1847, 519, 3440, 538, 513, 5858, 269, 1403, 519, 5569, 9397, 267, 519, 3440, 786, 1847, 1055, 538, 513, 2786, 1899, 269, 634, 2786, 1899, 5163, 538, 519, 9000, 540, 519, 7889, 1456, 3196, 568, 606, 1383, 540, 13053, 781, 1101, 1876, 269, 634, 1383, 1934, 1095, 6979, 602, 1100, 824, 2121, 4229, 616, 9117, 267, 971, 607, 8880, 5163, 593, 513, 11508, 1652, 2627, 269, 634, 7299, 5858, 568, 811, 3238, 780, 2578, 686, 7065, 531, 3196, 9819, 454, 19340, 692, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 19340, 692, 6124, 2023, 781, 4031, 2035, 780, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 258, 13053, 781, 5822, 4521, 692, 6124, 2023, 781, 5822, 4521, 607, 7150, 2630, 10039, 547, 513, 2647, 2039, 540, 2168, 9259, 267, 855, 621, 568, 711, 513, 4909, 6240, 899, 519, 11094, 16572, 269, 898, 568, 10858, 1152, 952, 519, 3196, 568, 519, 2121, 5007, 3196, 269, 898, 1281, 711, 4019, 2047, 547, 3871, 1141, 519, 2527, 568, 4657, 267, 2901, 689, 2530, 610, 2744, 540, 1570, 267, 610, 1317, 519, 1843, 568, 10707, 2673, 547, 519, 3432, 540, 1769, 1141, 8887, 643, 2065, 2360, 1590, 581, 3769, 269, 898, 1281, 711, 4019, 2047, 593, 519, 1360, 1507, 4336, 540, 519, 11046, 1141, 7061, 11707, 1590, 581, 1031, 780, 10574, 666, 581, 9411, 883, 1022, 540, 519, 10833, 2630, 269, 10410, 4328, 1022, 1079, 540, 519, 9424, 11887, 519, 3791, 269, 2991, 596, 723, 9411, 2418, 585, 1079, 267, 4945, 593, 519, 1257, 8204, 519, 3791, 547, 5173, 922, 1871, 780, 6124, 27971, 815, 4846, 2608, 544, 4882, 273, 454, 335, 2432, 815, 22376, 7714, 2608, 10264, 4882, 273, 454, 7799, 14591, 540, 13053, 781, 5822, 4521, 454, 19340, 692, 13553, 4521, 16610, 692, 24058, 1436, 1383, 780, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 258, 13053, 781, 5822, 4521, 16503, 1674, 692, 6124, 2023, 781, 476, 273, 526, 4521, 6087, 721, 547, 5635, 519, 2164, 540, 519, 1482, 3196, 25116, 593, 3615, 540, 1114, 2527, 563, 19340, 692, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 258, 13053, 781, 12059, 4521, 692, 6124, 2023, 781, 3791, 1876, 281, 2353, 4229, 538, 519, 7122, 2049, 538, 3160, 855, 6587, 569, 9859, 8424, 269, 1703, 616, 1100, 9678, 4229, 282, 585, 1169, 5007, 3196, 602, 6411, 593, 606, 1843, 972, 568, 513, 3196, 540, 3160, 9588, 855, 6587, 4287, 799, 6411, 1394, 593, 519, 1843, 799, 25116, 602, 5007, 3196, 269, 769, 519, 2013, 540, 4835, 4229, 267, 513, 3196, 593, 835, 851, 540, 513, 1062, 786, 581, 1293, 1229, 676, 513, 5114, 3196, 593, 1776, 851, 540, 519, 1062, 865, 602, 606, 9678, 1062, 3112, 676, 1022, 1797, 11851, 513, 2121, 3196, 593, 519, 1062, 607, 513, 2898, 269, 589, 1062, 3112, 834, 321, 2393, 560, 1905, 257, 3294, 883, 5163, 609, 17033, 4835, 4229, 910, 547, 3035, 513, 2121, 3196, 543, 606, 10231, 267, 621, 1590, 2170, 609, 606, 1843, 5007, 547, 3294, 780, 9453, 28408, 519, 2470, 610, 5169, 540, 519, 4229, 593, 519, 1079, 13999, 267, 13053, 781, 476, 274, 6113, 1876, 2829, 602, 952, 789, 8451, 689, 519, 1079, 13999, 2933, 267, 789, 1590, 581, 3160, 538, 9588, 855, 6587, 538, 4287, 865, 602, 1100, 2121, 3196, 14340, 689, 17033, 4835, 4229, 780, 6124, 2023, 781, 3791, 1876, 568, 835, 540, 519, 4909, 15340, 3741, 540, 519, 7122, 269, 4595, 649, 723, 1100, 1806, 540, 621, 1373, 26991, 538, 2470, 267, 621, 568, 513, 3730, 1907, 585, 7421, 3871, 799, 616, 10169, 4831, 10784, 30698, 269, 1280, 1383, 267, 950, 513, 1507, 14903, 2458, 1938, 2212, 6823, 609, 513, 1804, 14903, 267, 707, 20932, 1522, 2995, 596, 602, 519, 3196, 593, 519, 1507, 14903, 568, 3677, 269, 3502, 865, 2439, 9540, 14903, 267, 26171, 14903, 454, 7151, 540, 13053, 781, 12059, 4521, 454, 19340, 692, 7078, 692, 6124, 2023, 781, 4031, 2035, 780, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 692, 258, 13053, 781, 12059, 4521, 7151, 692, 6124, 2023, 781, 3791, 1876, 666, 581, 11609, 676, 7114, 519, 8424, 540, 4229, 799, 616, 3238, 538, 5885, 519, 7161, 593, 519, 5614, 4336, 780, 15430, 11167, 602, 519, 7161, 616, 6462, 543, 693, 11466, 267, 1287, 519, 2121, 3196, 593, 519, 1062, 568, 4642, 269, 2353, 519, 4229, 2049, 538, 13053, 781, 3791, 1876, 8424, 780, 19340, 692, 15214, 30125, 7052, 265, 23317, 681, 715, 1511, 454, 7883, 7982, 0, 5723, 7374, 9128, 21203, 31082, 19616, 304, 24746, 310, 312, 8150, 3722, 20067, 8980, 288, 8656, 298, 4456, 454, 272, 454, 4047, 11286, 5508, 9338, 12283, 289, 6938, 281, 700, 12114, 2752, 661, 12702, 25972, 6730, 674, 7419, 290, 16739, 21760, 6206, 454, 24092, 24092, 24092, 19751, 476, 1001, 280, 13662, 2969, 21610, 5960, 304, 307, 5999, 19751, 476, 1001, 280, 13662, 2969, 21610, 5960, 304, 307, 8382, 6206, 293, 718, 476, 1001, 280, 13662, 2969, 476, 279, 270, 280, 4813, 661, 5999, 293, 718, 476, 1001, 280, 13662, 2969, 476, 279, 270, 280, 4813, 661, 8382, 6206, 1001, 280, 13662, 2969, 21610, 5960, 304, 307, 4813, 670, 5999, 1001, 280, 13662, 2969, 21610, 5960, 304, 307, 4813, 670, 8382, 6206, 1001, 279, 13662, 2969, 21610, 5960, 304, 307, 4813, 589, 5999, 1001, 279, 13662, 2969, 21610, 5960, 304, 307, 4813, 589, 8382, 6206, 1001, 279, 13662, 2969, 21610, 5960, 304, 307, 4813, 717, 5999, 1001, 279, 13662, 2969, 21610, 5960, 304, 307, 4813, 717, 8382, 6206, 1001, 278, 13662, 2969, 21610, 5960, 304, 307, 4813, 667, 1001, 278, 13662, 2969, 21610, 5960, 304, 307, 4813, 667, 8382, 6206, 1001, 280, 11354, 4813, 670, 13662, 2969, 476, 279, 270, 280, 736, 866, 11354, 4813, 670, 13662, 2969, 476, 279, 270, 280, 8382, 6206, 1001, 280, 11354, 4813, 674, 13662, 2969, 476, 279, 270, 280, 736, 866, 11354, 4813, 674, 13662, 2969, 476, 279, 270, 280, 8382, 6206, 454, 273, 454, 1103, 1312, 519, 20389, 1299, 13662, 2969, 476, 1015, 267, 855, 711, 13662, 2969, 476, 279, 270, 280, 610, 5594, 1114, 607, 7074, 538, 2699, 13944, 306, 2969, 8307, 2750, 18075, 519, 1482, 538, 782, 1614, 8178, 906, 454, 274, 454, 32098, 17435, 3290, 306, 2969, 13517, 454, 4916, 2969, 21610, 5960, 304, 307, 543, 13662, 2969, 476, 1015, 13517, 454, 4916, 2969, 476, 279, 270, 280, 13517, 454, 275, 454, 30791, 4834, 538, 835, 4756, 272, 269, 8073, 543, 946, 5276, 4834, 538, 835, 4756, 547, 4194, 2042, 538, 513, 3099, 540, 8658, 269, 272, 269, 8073, 543, 946, 5276, 4834, 538, 835, 4756, 547, 4194, 2042, 538, 513, 3099, 540, 8658, 269, 272, 269, 8073, 543, 946, 5276, 4834, 538, 835, 4756, 547, 4194, 2042, 538, 513, 3099, 540, 8658, 6993, 5861, 3633, 6993, 269, 272, 454, 278, 269, 7417, 11065, 269, 275, 454, 304, 274, 2836, 322, 304, 274, 3752, 333, 454, 304, 1704, 3143, 2836, 322, 304, 1704, 3752, 333, 304, 1691, 3143, 2836, 322, 304, 1691, 3752, 333, 304, 274, 2836, 322, 304, 274, 3752, 333, 454, 276, 454, 273, 269, 8073, 513, 5276, 3830, 538, 835, 4756, 267, 543, 950, 538, 2796, 4612, 3435, 538, 2474, 540, 519, 2796, 269, 273, 269, 8073, 513, 5276, 3830, 538, 835, 4756, 267, 543, 950, 538, 2796, 4612, 3435, 538, 2474, 540, 519, 2796, 269, 273, 269, 8073, 513, 5276, 3830, 538, 835, 4756, 267, 543, 950, 538, 2796, 4612, 3435, 538, 2474, 540, 519, 2796, 269, 278, 269, 7417, 11065, 269, 275, 6993, 454, 277, 269, 7417, 11065, 269, 278, 454, 304, 272, 3143, 2836, 322, 304, 272, 3752, 333, 304, 2764, 2836, 322, 304, 2764, 3752, 333, 304, 272, 3143, 2836, 322, 304, 272, 3752, 333, 454, 277, 454, 274, 269, 16534, 513, 5276, 3830, 538, 835, 4756, 267, 1818, 7580, 946, 540, 15821, 2497, 269, 274, 269, 16534, 513, 5276, 3830, 538, 835, 4756, 267, 1818, 7580, 946, 540, 15821, 2497, 269, 274, 269, 16534, 513, 5276, 3830, 538, 835, 4756, 267, 1818, 7580, 946, 540, 15821, 2497, 6993, 269, 3918, 296, 11065, 269, 4343, 269, 7417, 5861, 269, 278, 269, 10621, 2529, 10345, 6993, 269, 273, 304, 1626, 2836, 322, 304, 1626, 3752, 333, 304, 278, 2836, 322, 304, 278, 3752, 333, 304, 1428, 2836, 322, 1627, 1428, 3752, 333, 304, 1428, 3143, 2836, 322, 304, 1428, 3752, 333, 304, 2764, 2836, 322, 304, 2764, 3752, 333, 304, 2420, 2836, 322, 304, 2420, 3752, 333, 454, 278, 454, 304, 276, 630, 5591, 2836, 322, 264, 304, 276, 3752, 333, 304, 1626, 2836, 322, 304, 1626, 3752, 333, 454, 279, 454, 275, 269, 1280, 513, 5276, 3830, 538, 835, 4756, 267, 275, 269, 1280, 513, 5276, 3830, 538, 835, 4756, 267, 275, 270, 275, 320, 269, 1280, 513, 5276, 3830, 538, 835, 4756, 267, 4612, 513, 3586, 267, 4756, 267, 3815, 267, 610, 2165, 538, 513, 2796, 563, 280, 454, 320, 269, 4612, 513, 3586, 267, 4756, 267, 3815, 267, 610, 2165, 538, 513, 2796, 282, 513, 269, 4612, 513, 3586, 267, 4756, 267, 3815, 267, 610, 2165, 538, 513, 2796, 282, 304, 1428, 3143, 2836, 322, 304, 1428, 3752, 333, 454, 1015, 454, 321, 269, 3313, 519, 2175, 896, 799, 519, 3830, 814, 1100, 3070, 267, 513, 2189, 3070, 267, 610, 28222, 1082, 3435, 269, 536, 269, 3313, 519, 2175, 896, 799, 519, 3830, 814, 1100, 3070, 267, 513, 2189, 3070, 267, 610, 28222, 1082, 3435, 269, 279, 269, 7417, 5861, 269, 278, 6993, 304, 3066, 2836, 322, 304, 3066, 3752, 333, 304, 280, 3143, 2836, 322, 304, 280, 3752, 333, 454, 304, 2767, 2836, 322, 304, 2767, 3752, 333, 304, 1704, 2836, 322, 304, 1704, 3752, 333, 304, 2537, 2836, 322, 304, 2537, 3752, 333, 454, 1556, 454, 304, 1691, 3143, 2836, 322, 304, 1691, 3752, 333, 454, 1321, 454, 276, 269, 12071, 1836, 4194, 513, 5276, 3830, 538, 835, 4756, 269, 276, 269, 12071, 1836, 4194, 513, 5276, 3830, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4107, 6082, 941, 12199, 676, 6207, 16313, 625, 609, 10143, 1318, 269, 901, 729, 3020, 538, 8109, 2342, 267, 1141, 519, 512, 338, 1513, 540, 6576, 1185, 2347, 1852, 269, 5980, 1185, 513, 14461, 1514, 2497, 1759, 593, 1583, 325, 3256, 543, 972, 729, 1360, 3908, 1514, 10688, 269, 634, 4346, 729, 1759, 2390, 602, 540, 6683, 543, 7031, 971, 607, 10568, 543, 24061, 543, 4074, 729, 2944, 676, 1688, 267, 607, 729, 1964, 540, 519, 1158, 2094, 22713, 1185, 711, 7018, 2943, 269, 6576, 729, 9750, 922, 10665, 896, 3532, 512, 338, 1513, 543, 729, 513, 1390, 1158, 1379, 563, 1103, 476, 10204, 271, 267, 1583, 325, 3256, 1185, 1044, 1018, 8109, 3864, 2486, 729, 1759, 593, 538, 6576, 269, 5395, 12028, 941, 13615, 547, 519, 2244, 607, 513, 3908, 1106, 540, 8474, 269, 2755, 3029, 540, 9111, 729, 10825, 2066, 519, 8608, 538, 519, 3735, 476, 10204, 271, 338, 267, 6576, 729, 3297, 543, 18923, 4299, 676, 519, 1007, 2081, 540, 18541, 6273, 676, 519, 3943, 7169, 269, 1717, 267, 12138, 4083, 1185, 1583, 325, 3256, 27618, 538, 519, 476, 5908, 272, 1317, 646, 1705, 711, 3494, 513, 2197, 1223, 14526, 538, 519, 2413, 1158, 952, 621, 729, 1759, 593, 8474, 269, 1717, 267, 4352, 1583, 325, 3256, 1185, 8694, 267, 519, 4567, 540, 519, 27998, 1705, 711, 607, 24790, 540, 519, 1362, 2497, 7283, 543, 519, 5391, 23306, 1583, 12028, 7283, 693, 519, 5377, 540, 519, 1514, 21117, 269, 1635, 519, 476, 5908, 271, 338, 267, 950, 6576, 729, 4853, 1944, 267, 519, 1909, 519, 2539, 1362, 5129, 538, 2486, 1131, 6521, 607, 519, 5391, 23306, 1583, 12028, 6410, 547, 519, 4872, 547, 3343, 960, 538, 519, 15327, 269, 901, 1689, 6818, 1317, 540, 519, 4049, 23434, 538, 519, 6917, 2551, 1813, 547, 2799, 9204, 593, 519, 2244, 269, 634, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14338, 2189, 1851, 7382, 6861, 619, 269, 5994, 596, 616, 4730, 513, 3381, 3014, 1141, 707, 2319, 814, 1079, 2010, 540, 27568, 1107, 835, 945, 608, 26118, 693, 21006, 5656, 543, 1776, 1390, 693, 2921, 1524, 3983, 16921, 269, 2334, 781, 2147, 547, 1018, 891, 1079, 1114, 7382, 6861, 619, 1705, 1282, 2622, 2782, 4083, 2439, 763, 4959, 308, 268, 14338, 5059, 5631, 593, 9396, 908, 6186, 1819, 14763, 267, 1175, 899, 938, 5869, 21751, 538, 8165, 5636, 1622, 269, 901, 729, 2009, 1813, 547, 922, 7372, 476, 14338, 7825, 589, 268, 866, 2361, 7784, 267, 5827, 540, 5309, 4221, 998, 1256, 519, 5394, 652, 24915, 540, 10546, 13688, 269, 2201, 519, 824, 1688, 267, 972, 729, 1776, 4528, 1572, 519, 4959, 308, 268, 13923, 267, 2966, 811, 585, 10514, 8973, 6830, 5874, 543, 5885, 26462, 267, 1454, 899, 519, 15705, 23542, 5109, 3889, 780, 3086, 4952, 621, 781, 942, 585, 891, 12325, 547, 6443, 4229, 609, 741, 16167, 2066, 519, 8608, 269, 1879, 3345, 9705, 22983, 3162, 9705, 538, 476, 4198, 271, 267, 519, 8168, 5742, 4956, 547, 5351, 3624, 676, 11488, 873, 4108, 3937, 269, 7324, 713, 5351, 941, 930, 9157, 4959, 308, 268, 14338, 338, 256, 1452, 6191, 18202, 883, 2962, 7258, 4457, 7980, 1996, 519, 15852, 4229, 780, 3719, 7227, 267, 1946, 1131, 3624, 991, 971, 2178, 9604, 952, 789, 2907, 1185, 2834, 13688, 286, 4270, 267, 1589, 827, 2348, 1585, 2645, 585, 1808, 6009, 269, 1411, 9327, 1405, 946, 513, 17684, 323, 18182, 547, 17200, 18969, 267, 1318, 286, 6684, 267, 3006, 20679, 991, 7463, 6472, 899, 519, 4959, 308, 268, 272, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 1607, 2985, 568, 827, 519, 7382, 6861, 518, 4959, 308, 268, 14338, 630, 19770, 1040, 1280, 824, 8747, 267, 1294, 4959, 308, 268, 14338, 543, 4959, 308, 268, 14338, 306, 8198, 268, 476, 272, 13517, 454, 268, 476, 273, 4937, 9623, 454, 268, 476, 274, 14022, 14613, 454, 268, 476, 275, 26402, 538, 12959, 454, 268, 476, 276, 3778, 454, 268, 476, 277, 9012, 454, 268, 476, 278, 6423, 849, 454, 268, 476, 279, 24498, 6402, 454, 763, 4959, 308, 268, 14338, 630, 396, 350, 3522, 9261, 3378, 17153, 19757, 20265, 9326, 27188, 13150, 31606, 13833, 18547, 21660, 25338, 3522, 13194, 3264, 476, 25000, 4709, 18547, 2843, 502, 396, 350, 11012, 16068, 31589, 9686, 4138, 27671, 17095, 3522, 20434, 16648, 13077, 476, 14338, 9261, 9261, 267, 2843, 502, 396, 350, 396, 352, 268, 14338, 264, 568, 513, 8168, 14213, 7784, 1031, 5097, 538, 4550, 2389, 1678, 4247, 1282, 2622, 2782, 4083, 269, 9521, 519, 4959, 308, 268, 13923, 267, 519, 4959, 308, 268, 14338, 729, 5097, 8246, 585, 4550, 268, 1301, 712, 13485, 609, 922, 476, 14338, 6515, 589, 268, 866, 2361, 7784, 267, 6466, 519, 4959, 308, 268, 13923, 729, 1031, 811, 585, 9940, 3595, 1489, 543, 4550, 1922, 677, 2305, 4238, 609, 922, 14042, 476, 13923, 6515, 16066, 268, 736, 306, 875, 12688, 269, 11374, 519, 4098, 540, 519, 11114, 2782, 267, 519, 8168, 5742, 8149, 547, 3246, 4108, 6351, 547, 3624, 269, 3624, 4607, 476, 1015, 26462, 6498, 7382, 1036, 9323, 689, 519, 8168, 5742, 538, 5181, 476, 4198, 271, 267, 609, 476, 4968, 570, 268, 4097, 268, 5952, 5420, 13688, 267, 476, 2568, 4959, 268, 273, 5230, 13688, 267, 543, 476, 2412, 4959, 308, 268, 14338, 1582, 1790, 1886, 8215, 25044, 267, 607, 1134, 607, 18114, 543, 824, 1489, 6472, 269, 2859, 982, 476, 273, 267, 1822, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 1158, 540, 17174, 10350, 543, 1582, 3766, 17922, 1851, 7087, 24447, 540, 25725, 6816, 630, 10193, 1634, 607, 3345, 3013, 1040, 634, 1445, 540, 713, 1770, 786, 581, 547, 1174, 519, 3140, 2796, 602, 3366, 547, 519, 1646, 540, 891, 3029, 540, 2229, 267, 741, 2189, 4162, 267, 2591, 789, 3068, 267, 543, 875, 789, 12969, 609, 4207, 2152, 7133, 7087, 2950, 2221, 780, 272, 269, 8466, 12745, 540, 17650, 531, 26291, 543, 8682, 8566, 17922, 692, 2414, 2253, 267, 621, 568, 1898, 547, 5431, 602, 7087, 24447, 540, 25725, 6816, 1185, 1134, 28004, 2797, 3889, 543, 1514, 9753, 1279, 1354, 3864, 13896, 8452, 269, 1452, 7239, 941, 6353, 676, 10427, 10350, 1949, 1759, 593, 737, 29023, 5121, 267, 28334, 3347, 267, 543, 5289, 4978, 269, 1717, 267, 2390, 12625, 267, 17417, 13684, 4914, 3656, 10850, 5196, 7087, 8315, 267, 799, 8507, 538, 519, 11761, 540, 2757, 10350, 1949, 543, 21490, 519, 1259, 585, 19525, 543, 21939, 4507, 780, 273, 269, 4197, 17650, 531, 590, 30371, 14879, 692, 307, 1026, 531, 16285, 4016, 547, 519, 7915, 1318, 540, 7087, 6082, 547, 1827, 2933, 8238, 558, 3585, 1369, 741, 18577, 11182, 269, 898, 17767, 602, 11031, 2392, 622, 519, 5250, 540, 519, 2136, 2276, 543, 3976, 4865, 3982, 2797, 4567, 525, 269, 6206, 3344, 540, 17174, 16285, 1331, 519, 1379, 547, 1118, 4031, 267, 17997, 873, 267, 543, 8207, 13882, 998, 17174, 10470, 269, 5015, 267, 21308, 9896, 1063, 11031, 543, 519, 2475, 5313, 2229, 14751, 713, 2027, 2078, 543, 11760, 17174, 2924, 547, 2244, 267, 2200, 267, 543, 1582, 24148, 780, 274, 269, 12694, 674, 5217, 17650, 531, 22749, 4653, 692, 8601, 6284, 540, 17174, 16285, 267, 1082, 9465, 2061, 2500, 3635, 540, 1582, 3766, 4261, 766, 269, 2290, 2101, 4161, 11710, 689, 11758, 12302, 10701, 340, 885, 2813, 676, 12721, 6811, 1063, 17174, 267, 1533, 267, 543, 5313, 6608, 269, 1280, 3236, 267, 1857, 3106, 3788, 513, 1713, 6161, 1813, 547, 3908, 1876, 11268, 6392, 11292, 547, 11031, 269, 3958, 267, 7616, 10148, 1419, 17225, 519, 11865, 540, 2596, 2533, 971, 607, 2069, 267, 3782, 267, 543, 5989, 1646, 269, 14936, 267, 5571, 6937, 547, 10723, 4609, 543, 2067, 2200, 2417, 635, 12393, 6927, 267, 26089, 3586, 14223, 3646, 547, 2149, 2686, 6561, 543, 3895, 2825, 6940, 780, 275, 269, 8865, 5530, 281, 18937, 26953, 13780, 781, 15863, 547, 5046, 268, 866, 17455, 2438, 692, 288, 12905, 1383, 14550, 1312, 519, 9342, 543, 12755, 540, 17174, 10350, 9624, 5007, 16839, 269, 634, 18937, 26953, 13780, 267, 17364, 2694, 540, 14151, 267, 1715, 6792, 267, 543, 18096, 267, 5185, 25409, 1164, 3928, 540, 3968, 1282, 519, 3355, 5933, 540, 519, 5046, 268, 866, 6855, 269, 6736, 4199, 7687, 267, 519, 14316, 15527, 24847, 676, 7598, 7453, 27579, 3800, 267, 30191, 9633, 31433, 267, 543, 22745, 7372, 4152, 11044, 269, 1635, 16107, 922, 19988, 7060, 267, 519, 18937, 26953, 13780, 7307, 547, 2270, 519, 3262, 1247, 3246, 2565, 1489, 547, 7925, 2818, 269, 30027, 3585, 267, 2705, 267, 13385, 5313, 5351, 6534, 5817, 16642, 13103, 267, 10223, 10770, 10616, 538, 5466, 1072, 31716, 4810, 676, 7087, 5095, 780, 276, 269, 28249, 1275, 543, 12634, 12983, 18748, 532, 7087, 18877, 692, 7661, 267, 621, 568, 2629, 547, 2263, 875, 17174, 10350, 12969, 338, 609, 6626, 6848, 4145, 18363, 7087, 2950, 269, 8693, 1689, 13514, 4049, 4220, 547, 7087, 1272, 1811, 267, 8506, 14849, 9542, 2994, 20291, 2066, 2789, 2157, 540, 10350, 269, 11531, 267, 5571, 9840, 4478, 7292, 5126, 543, 9698, 1289, 3007, 547, 11528, 7130, 5185, 676, 7087, 1004, 267, 10771, 519, 991, 585, 8537, 3375, 6194, 3157, 602, 4099, 2146, 9739, 269, 18601, 891, 2591, 3340, 7347, 5698, 1063, 17174, 8128, 267, 1875, 268, 29378, 16167, 267, 543, 14519, 8149, 547, 30176, 3741, 540, 1582, 24148, 543, 1514, 5126, 780, 9961, 713, 1576, 1770, 267, 649, 723, 8947, 1883, 2035, 3844, 547, 1620, 17174, 10350, 543, 1582, 3766, 17922, 1851, 7087, 24447, 540, 25725, 6816, 269, 1306, 7152, 538, 938, 2013, 1353, 267, 891, 3584, 2611, 3810, 4143, 2221, 267, 5935, 6114, 547, 10296, 2152, 899, 1857, 1072, 18002, 267, 2916, 1689, 267, 543, 1514, 8635, 269, 11086, 267, 14237, 4656, 1472, 17174, 16285, 543, 5885, 1582, 3766, 1478, 2740, 3435, 616, 4105, 3268, 2509, 5807, 16614, 12352, 12082, 538, 8994, 3972, 543, 25262, 640, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 3019, 6403, 6403, 14269, 262, 6403, 6403, 14269, 267, 11202, 22772, 619, 543, 10060, 22772, 619, 2336, 21776, 568, 6444, 538, 519, 2136, 2276, 540, 3013, 607, 7111, 1977, 11595, 13600, 12544, 11812, 540, 519, 6805, 9082, 540, 25725, 6816, 543, 938, 7418, 547, 1148, 267, 2528, 267, 2825, 5726, 267, 543, 811, 256, 901, 1032, 779, 6249, 568, 18270, 908, 17650, 531, 590, 30371, 14879, 543, 14740, 1765, 19651, 322, 2084, 519, 2647, 4763, 540, 6805, 4529, 543, 2081, 540, 1272, 563, 1103, 11812, 540, 7111, 1977, 11595, 13600, 267, 649, 4076, 6603, 856, 547, 930, 540, 938, 7111, 20334, 267, 945, 723, 3710, 3688, 6273, 676, 741, 4529, 2336, 21837, 715, 269, 17664, 454, 296, 2328, 585, 11202, 325, 5407, 267, 10060, 325, 5407, 267, 543, 3006, 824, 3756, 267, 543, 993, 513, 627, 714, 513, 14291, 1063, 1949, 269, 1879, 594, 6557, 711, 2324, 593, 28479, 766, 585, 1585, 7218, 267, 594, 993, 3384, 513, 9423, 3556, 3014, 609, 1250, 9393, 269, 1411, 666, 1265, 803, 593, 12108, 7711, 21837, 305, 1601, 13328, 338, 2349, 1132, 5652, 7711, 323, 14865, 333, 1484, 543, 3842, 824, 3346, 3681, 593, 1250, 3095, 29728, 281, 4179, 2517, 15062, 13700, 269, 2465, 7933, 14865, 333, 1484, 454, 7069, 3993, 779, 1920, 814, 2141, 6854, 693, 2547, 835, 5326, 13906, 7815, 267, 513, 911, 9016, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 7087, 24447, 540, 25725, 6816, 5525, 1315, 17650, 531, 26291, 543, 8682, 8566, 17922, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5149, 7170, 281, 4197, 661, 1276, 541, 2065, 28613, 281, 589, 22414, 5811, 540, 4936, 30871, 543, 17557, 26746, 21126, 692, 7072, 1384, 292, 1276, 541, 2065, 18381, 6013, 693, 519, 2295, 540, 835, 540, 519, 1034, 1713, 24396, 9840, 1063, 4936, 30871, 543, 17557, 1143, 269, 901, 1770, 786, 5490, 883, 519, 3140, 2796, 267, 1883, 5515, 267, 543, 3844, 10752, 602, 5581, 891, 18312, 5380, 269, 1635, 6313, 519, 4720, 540, 2219, 1369, 1312, 5389, 267, 1053, 786, 2744, 513, 4514, 7071, 585, 519, 10848, 4478, 713, 14985, 543, 922, 1764, 593, 3235, 18210, 673, 5188, 2221, 780, 4089, 2290, 281, 8466, 12745, 1107, 17553, 519, 8609, 585, 519, 661, 1276, 541, 2065, 13891, 622, 692, 2414, 1174, 519, 4207, 1533, 540, 661, 1276, 541, 2065, 18381, 267, 835, 1590, 1101, 2263, 922, 8129, 1369, 2038, 4168, 2950, 269, 22073, 609, 519, 7831, 2672, 3899, 6386, 1336, 538, 519, 1715, 11620, 630, 31861, 476, 2918, 281, 2918, 268, 3066, 267, 4460, 476, 1691, 281, 2420, 268, 1839, 267, 19279, 476, 2420, 281, 866, 268, 736, 1070, 4983, 875, 4906, 262, 1913, 543, 3527, 2968, 519, 5748, 2390, 799, 2663, 5481, 1131, 1628, 741, 5485, 571, 11365, 2853, 543, 4978, 780, 9202, 267, 2015, 519, 1646, 540, 552, 1276, 541, 2065, 1396, 4026, 625, 1282, 519, 1273, 337, 2065, 5736, 267, 10223, 1271, 7418, 1500, 676, 5783, 12429, 338, 899, 22695, 520, 3780, 540, 4165, 1470, 577, 267, 3807, 514, 6742, 10455, 267, 543, 27596, 540, 26194, 334, 269, 1306, 1053, 4497, 609, 3119, 2959, 267, 5000, 873, 547, 2992, 593, 875, 891, 3504, 17024, 6956, 2441, 781, 4527, 538, 519, 2609, 543, 1018, 6286, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 12315, 11313, 655, 2614, 18052, 267, 543, 865, 593, 269, 20918, 27346, 685, 21494, 1011, 1709, 540, 1942, 11486, 523, 24674, 2079, 568, 1945, 547, 1531, 1245, 269, 13185, 827, 18530, 1434, 2724, 1310, 3983, 2560, 3040, 8834, 18999, 623, 2131, 6390, 623, 597, 10042, 267, 1879, 568, 1945, 602, 779, 1360, 12691, 5732, 1271, 585, 3375, 1818, 286, 15742, 569, 711, 950, 621, 779, 22480, 267, 6862, 950, 621, 779, 606, 28842, 1466, 269, 898, 1522, 581, 950, 621, 814, 5458, 4539, 267, 952, 621, 4523, 538, 19220, 540, 519, 1507, 12918, 269, 2659, 10054, 568, 602, 17985, 310, 949, 723, 29751, 518, 4539, 269, 1809, 1018, 616, 789, 286, 594, 4076, 4280, 14578, 1018, 616, 519, 1761, 4539, 540, 17985, 310, 269, 1924, 2484, 519, 3636, 626, 543, 798, 1682, 9707, 3954, 714, 839, 723, 14284, 16460, 519, 2243, 538, 4376, 824, 982, 6186, 530, 3058, 543, 5667, 889, 560, 656, 7007, 29057, 332, 784, 1359, 20060, 1619, 269, 1284, 4076, 723, 6276, 17713, 523, 2995, 721, 519, 12084, 949, 14974, 1055, 543, 649, 1205, 513, 19026, 1826, 5790, 269, 1284, 4076, 1185, 1866, 2995, 721, 4262, 2157, 786, 4473, 909, 547, 476, 277, 544, 936, 513, 1974, 602, 1131, 1118, 621, 21472, 269, 1703, 616, 824, 798, 1682, 16558, 7653, 269, 1809, 789, 616, 782, 1175, 29057, 332, 784, 1359, 269, 19402, 596, 666, 2097, 909, 609, 5222, 543, 17831, 543, 2053, 2394, 789, 949, 2049, 543, 17831, 267, 707, 8292, 4667, 899, 899, 1666, 6804, 29057, 332, 784, 1359, 547, 803, 269, 3040, 737, 574, 1261, 779, 12922, 267, 899, 1034, 540, 519, 15372, 1235, 269, 4208, 798, 596, 1589, 789, 2695, 7002, 865, 899, 12758, 554, 9233, 286, 815, 7529, 284, 3040, 8834, 18999, 4024, 731, 7711, 5239, 476, 278, 267, 476, 1001, 274, 693, 476, 280, 281, 1691, 993, 1767, 281, 634, 3617, 21205, 585, 3664, 538, 713, 2796, 568, 2121, 2640, 630, 7474, 568, 267, 519, 3017, 1063, 267, 543, 711, 519, 5223, 540, 267, 2640, 543, 3790, 1040, 2977, 13860, 7711, 5239, 476, 278, 267, 476, 1001, 274, 693, 476, 1015, 281, 866, 993, 1767, 281, 20918, 27346, 685, 4661, 568, 2887, 20160, 267, 1317, 646, 5337, 2803, 519, 1523, 540, 4316, 1942, 269, 4024, 731, 7711, 5239, 476, 278, 267, 476, 1001, 274, 693, 476, 273, 281, 2004, 10681, 1767, 2755, 594, 6557, 2386, 8834, 18999, 786, 5660, 713, 9880, 267, 875, 1281, 519, 2887, 2329, 568, 3964, 4010, 286, 594, 4076, 5143, 4024, 731, 5892, 602, 646, 29144, 519, 2796, 540, 20918, 27346, 685, 10839, 269, 20918, 27346, 3948, 568, 2953, 952, 1224, 538, 519, 2407, 2796, 269, 20918, 27346, 729, 14775, 547, 513, 21568, 540, 1942, 1532, 523, 24674, 2079, 676, 3744, 543, 7713, 950, 547, 946, 1942, 1532, 523, 24674, 2079, 543, 950, 547, 946, 2121, 4324, 269, 20918, 27346, 3096, 1312, 630, 322, 8091, 569, 264, 538, 7305, 476, 276, 268, 272, 630, 653, 11025, 268, 10695, 264, 543, 7305, 476, 276, 268, 274, 630, 335, 8660, 264, 1934, 281, 5291, 2517, 4178, 4318, 935, 13885, 1446, 12975, 270, 349, 333, 867, 27346, 10774, 727, 2457, 20324, 531, 766, 318, 273, 526, 318, 16513, 338, 15005, 4024, 731, 814, 20926, 513, 851, 540, 519, 7521, 1063, 20918, 27346, 543, 519, 3744, 855, 15151, 1281, 711, 6956, 519, 2495, 610, 267, 5310, 267, 646, 568, 1373, 771, 532, 523, 6681, 269, 594, 14353, 519, 8545, 2094, 646, 5170, 547, 1065, 739, 519, 2147, 6085, 936, 543, 936, 1586, 5103, 2348, 1185, 1010, 3765, 24483, 11329, 856, 547, 1864, 1354, 269, 3040, 8834, 18999, 623, 2131, 6390, 623, 597, 10042, 7711, 5239, 476, 278, 267, 476, 1001, 274, 693, 476, 1015, 281, 4366, 993, 1411, 1767, 547, 11835, 13860, 281, 594, 6557, 711, 865, 2484, 689, 596, 950, 649, 1376, 547, 1865, 4507, 269, 594, 8969, 602, 568, 3020, 269, 1411, 723, 3254, 538, 1082, 3105, 8292, 538, 3105, 16060, 596, 3494, 519, 1739, 281, 476, 272, 269, 2842, 1379, 543, 3859, 1379, 616, 17215, 14323, 1631, 585, 7470, 4448, 5201, 5108, 538, 930, 547, 1082, 3871, 269, 476, 273, 269, 1411, 3494, 2842, 543, 3859, 1379, 267, 538, 519, 2062, 5408, 762, 2104, 267, 581, 2111, 547, 1118, 513, 2101, 9295, 547, 5969, 2518, 23435, 294, 5434, 476, 274, 269, 2659, 3494, 6046, 1379, 568, 5906, 543, 616, 7255, 827, 922, 7269, 476, 275, 269, 596, 3494, 17985, 310, 568, 5732, 5906, 610, 21472, 630, 8117, 3112, 1683, 10388, 2963, 547, 1489, 707, 3661, 264, 476, 276, 269, 1411, 3494, 14499, 23435, 294, 5434, 568, 519, 1655, 1259, 547, 2569, 2518, 23435, 294, 5434, 476, 277, 269, 1411, 3494, 602, 14499, 3327, 538, 4492, 630, 324, 3052, 269, 3703, 12052, 264, 568, 513, 14323, 4244, 547, 14499, 23435, 294, 5434, 269, 594, 14353, 596, 543, 2977, 13860, 1131, 711, 3858, 593, 1454, 540, 713, 952, 596, 1743, 2683, 1524, 1454, 269, 3040, 8834, 18999, 13056, 755, 3626, 1767, 281, 1924, 267, 952, 596, 3409, 602, 519, 10958, 2557, 666, 581, 1031, 607, 519, 4316, 1942, 267, 1287, 519, 10958, 2557, 1590, 581, 519, 1655, 630, 14490, 14194, 3286, 539, 264, 2557, 540, 2132, 2139, 593, 4244, 3096, 540, 2200, 269, 634, 10958, 3928, 1031, 538, 12570, 519, 3790, 543, 2640, 540, 4550, 4211, 302, 273, 4507, 723, 782, 1044, 1134, 2630, 519, 6093, 4316, 1942, 269, 9717, 519, 24604, 540, 595, 10621, 15810, 585, 4093, 476, 1911, 1296, 543, 811, 8754, 267, 835, 1223, 8044, 602, 519, 1981, 3238, 538, 519, 9819, 568, 5393, 1164, 267, 543, 4061, 519, 1981, 14194, 3286, 539, 2557, 540, 2132, 1131, 849, 581, 1360, 1164, 269, 1403, 519, 3790, 616, 10156, 2165, 543, 1022, 2640, 616, 3476, 942, 267, 713, 1131, 9133, 519, 3666, 1996, 1346, 1761, 855, 1360, 11397, 3790, 544, 2393, 539, 585, 595, 8980, 310, 269, 15020, 1134, 6045, 267, 13056, 755, 3626, 269, 901, 568, 519, 562, 889, 540, 519, 3390, 602, 798, 1682, 16558, 543, 15156, 10838, 2916, 3744, 1175, 1810, 1406, 1205, 269, 1924, 621, 2115, 547, 581, 16111, 1964, 730, 267, 7368, 556, 3438, 730, 18674, 2560, 2394, 621, 4991, 998, 269, 898, 1131, 581, 1390, 547, 1294, 623, 2131, 6390, 1533, 602, 646, 1631, 17358, 3079, 540, 3843, 547, 17538, 646, 6956, 782, 2059, 950, 5693, 646, 1705, 711, 269, 3040, 575, 9346, 1731, 773, 1107, 8834, 18999, 1923, 968, 272, 269, 2842, 1379, 543, 3859, 1379, 616, 17215, 14323, 1631, 585, 7470, 4448, 5201, 5108, 538, 930, 547, 1082, 3871, 1848, 268, 10435, 3859, 8440, 666, 581, 19311, 543, 6006, 5777, 865, 541, 543, 16154, 4470, 593, 1018, 14761, 6430, 269, 1924, 1100, 8969, 2797, 1202, 11107, 723, 1500, 5318, 5666, 540, 2724, 269, 2986, 1576, 3859, 1379, 568, 711, 14323, 1510, 2229, 24307, 269, 1924, 538, 519, 1655, 2127, 547, 7556, 3859, 1648, 1510, 24307, 1100, 3859, 1379, 568, 14323, 269, 1656, 972, 616, 1390, 3604, 538, 2179, 540, 7943, 2139, 4470, 593, 4525, 269, 1924, 1141, 596, 476, 272, 270, 275, 540, 2139, 7943, 607, 3379, 1732, 2127, 267, 621, 779, 5393, 1875, 8686, 4192, 269, 1656, 1018, 568, 3790, 540, 891, 24307, 286, 898, 779, 2352, 547, 1205, 5122, 5777, 538, 3624, 268, 25013, 4525, 543, 2872, 1522, 1205, 1472, 476, 274, 21347, 737, 310, 10774, 1496, 259, 1789, 829, 24448, 10774, 4940, 1656, 811, 982, 476, 1015, 21347, 454, 330, 310, 10774, 538, 4683, 2127, 563, 1607, 3947, 606, 2856, 540, 1018, 568, 6976, 1585, 2477, 454, 10175, 3624, 1141, 2161, 3328, 568, 476, 279, 21347, 829, 737, 310, 10774, 912, 10674, 2517, 1492, 24479, 3712, 29193, 2593, 15828, 785, 25669, 2914, 12291, 270, 29344, 14695, 21669, 2071, 3887, 10431, 640, 1790, 4631, 268, 19925, 8996, 10275, 3369, 454, 1607, 2982, 5125, 693, 476, 3374, 1298, 829, 737, 310, 10774, 269, 16862, 519, 1158, 6205, 693, 454, 6078, 21347, 269, 1656, 5333, 1496, 6518, 814, 9425, 1164, 946, 6165, 540, 6046, 1379, 316, 693, 476, 866, 21347, 269, 1656, 2475, 568, 476, 1321, 21347, 269, 898, 4440, 3833, 4023, 547, 2161, 602, 609, 5125, 811, 982, 476, 272, 270, 273, 519, 1942, 568, 1813, 547, 2229, 16550, 621, 779, 5561, 547, 2628, 585, 3859, 543, 2842, 1648, 563, 2080, 3349, 540, 21496, 5122, 946, 829, 2197, 912, 10674, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 18045, 1845, 318, 2421, 21223, 10431, 640, 318, 4621, 18870, 454, 1103, 476, 1001, 272, 5125, 1031, 476, 2568, 278, 267, 1822, 267, 1822, 24448, 10774, 563, 3383, 693, 476, 1015, 21347, 829, 32765, 610, 1269, 1911, 829, 13431, 10774, 602, 568, 476, 2568, 5479, 9489, 4502, 540, 1379, 269, 1656, 693, 259, 12573, 829, 13431, 10774, 602, 779, 476, 18891, 5479, 9489, 829, 1032, 563, 4517, 6236, 789, 1044, 3257, 713, 585, 5756, 267, 543, 786, 4440, 798, 621, 811, 5756, 267, 621, 779, 28428, 959, 650, 687, 540, 9489, 829, 8717, 780, 4415, 2475, 621, 3096, 281, 476, 274, 267, 6434, 277, 267, 6110, 267, 1822, 13431, 10774, 269, 1924, 693, 1269, 1911, 24448, 10774, 267, 621, 779, 476, 4343, 279, 269, 277, 5479, 829, 1032, 269, 1924, 952, 2475, 1705, 1945, 899, 1018, 5125, 1705, 267, 621, 1223, 1942, 4892, 936, 476, 272, 270, 273, 18265, 829, 1032, 269, 1656, 713, 899, 5125, 267, 1131, 711, 2539, 2475, 12998, 267, 6862, 1131, 649, 1205, 1454, 5122, 1379, 689, 621, 269, 2986, 1576, 824, 3815, 568, 602, 2094, 3624, 814, 14949, 5122, 267, 543, 2872, 799, 3096, 513, 2603, 5122, 1379, 267, 949, 1847, 547, 3624, 269, 2715, 528, 2754, 4422, 22625, 267, 543, 3549, 538, 3624, 1831, 519, 12696, 269, 1656, 3624, 4991, 476, 3199, 260, 540, 741, 1648, 689, 15021, 269, 1924, 811, 2872, 799, 3096, 513, 2603, 540, 5122, 1496, 2865, 798, 316, 786, 1205, 519, 1379, 689, 15021, 267, 543, 7551, 2333, 2518, 2910, 273, 12998, 269, 4880, 1198, 568, 959, 650, 687, 540, 9489, 6170, 267, 543, 1713, 2333, 538, 2518, 2910, 273, 3361, 676, 891, 1826, 540, 2229, 4507, 269, 3040, 20579, 17926, 1281, 711, 3494, 20918, 27346, 1500, 606, 5470, 267, 918, 1245, 773, 269, 1261, 11099, 594, 31495, 13133, 1864, 269, 8550, 332, 785, 1018, 713, 1131, 27167, 827, 795, 2129, 13860, 779, 6811, 19037, 269, 3040, 26056, 795, 2129, 13860, 1107, 26612, 24335, 993, 594, 25380, 1524, 689, 1018, 594, 1767, 269, 6168, 1346, 3631, 602, 2285, 596, 707, 476, 1911, 260, 22979, 630, 663, 1810, 1406, 7340, 827, 4316, 3790, 543, 2942, 5007, 885, 264, 16634, 3040, 737, 574, 1924, 267, 8834, 267, 786, 731, 1058, 581, 2111, 547, 5619, 519, 5318, 14099, 540, 20918, 27346, 5470, 269, 623, 2131, 6390, 267, 1631, 267, 646, 779, 17874, 1010, 18903, 476, 279, 5174, 718, 585, 513, 2312, 2626, 269, 815, 13117, 7529, 4499, 2525, 3040, 26056, 13056, 755, 3626, 1107, 898, 568, 3592, 7164, 585, 20833, 12454, 3785, 547, 2743, 741, 4316, 3790, 269, 2859, 1419, 789, 616, 5763, 1673, 652, 549, 3539, 2864, 982, 5763, 2275, 11661, 269, 3776, 1699, 946, 540, 8093, 10173, 568, 538, 2169, 878, 2406, 13615, 547, 20833, 12454, 4507, 799, 267, 536, 13512, 267, 1651, 584, 11999, 4316, 3790, 269, 1656, 968, 17314, 1673, 652, 549, 3539, 2864, 982, 5763, 2275, 11661, 892, 568, 5187, 2065, 269, 634, 1158, 568, 711, 865, 9352, 267, 1256, 811, 865, 950, 649, 616, 6340, 856, 5756, 630, 514, 519, 2547, 264, 883, 519, 2104, 269, 24935, 540, 799, 2507, 4777, 596, 2671, 795, 2129, 13860, 779, 476, 1911, 260, 22979, 827, 519, 3790, 540, 993, 601, 1640, 908, 519, 4220, 540, 2810, 2910, 273, 5434, 286, 1403, 865, 267, 1131, 596, 2247, 10213, 803, 799, 2804, 3631, 1489, 602, 2347, 22979, 630, 6518, 267, 540, 1576, 267, 1797, 5730, 3067, 2305, 540, 2942, 5007, 885, 607, 1134, 607, 4316, 3790, 540, 4797, 946, 540, 8093, 10173, 607, 1134, 607, 540, 1821, 7627, 2200, 2509, 8925, 1040, 3040, 795, 2129, 13860, 594, 6557, 711, 905, 793, 532, 4376, 267, 6862, 993, 594, 25380, 1524, 689, 1018, 594, 1767, 269, 3040, 3436, 20918, 27346, 729, 14775, 547, 513, 21568, 540, 1942, 1532, 523, 24674, 2079, 676, 3744, 543, 7713, 950, 547, 946, 1942, 1532, 523, 24674, 2079, 543, 950, 547, 946, 2121, 4324, 269, 22549, 267, 543, 713, 3210, 2982, 602, 795, 2129, 13860, 779, 17720, 2243, 267, 896, 20040, 538, 519, 6085, 1141, 20918, 27346, 814, 1044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 4599, 11197, 4054, 1332, 538, 1527, 4288, 782, 936, 22778, 807, 269, 6258, 811, 827, 32090, 26029, 11945, 563, 293, 8816, 25210, 11349, 873, 538, 15250, 1841, 547, 7520, 26853, 267, 607, 26029, 11945, 4054, 2721, 554, 867, 525, 540, 10987, 547, 741, 10731, 19806, 558, 267, 543, 789, 616, 1031, 585, 741, 5393, 25836, 3597, 6006, 269, 11524, 2030, 873, 3274, 547, 2972, 741, 4190, 4159, 540, 3043, 267, 11909, 610, 524, 518, 1047, 5810, 538, 5614, 563, 290, 4599, 13212, 630, 7356, 639, 861, 331, 4034, 5142, 264, 616, 711, 4922, 1031, 538, 519, 10051, 1022, 811, 267, 855, 519, 1507, 267, 5594, 15280, 5613, 1118, 606, 27610, 21297, 267, 799, 568, 1454, 811, 29316, 982, 21297, 689, 8723, 13212, 267, 543, 568, 1419, 3638, 569, 11954, 630, 24119, 2056, 593, 519, 2681, 540, 519, 5252, 541, 1916, 16665, 281, 2561, 956, 3245, 22778, 807, 454, 763, 5650, 585, 1818, 21297, 568, 1360, 1454, 519, 1482, 267, 8726, 4829, 596, 6430, 547, 1118, 621, 689, 281, 596, 666, 946, 519, 1482, 11600, 585, 8723, 13212, 267, 3109, 2017, 7847, 267, 2699, 2017, 7847, 267, 979, 846, 11241, 267, 1199, 331, 1513, 543, 844, 1550, 269, 634, 1034, 1271, 3815, 568, 513, 1164, 1377, 540, 533, 24514, 563, 16665, 281, 11197, 3203, 538, 8828, 13785, 454, 29973, 569, 513, 19346, 267, 533, 24514, 568, 9927, 883, 4006, 607, 519, 4829, 18009, 839, 267, 799, 568, 1946, 596, 1590, 946, 796, 686, 701, 267, 25188, 4829, 538, 1931, 547, 1118, 519, 21297, 1305, 269, 4107, 824, 4829, 798, 711, 723, 2614, 533, 24514, 547, 1118, 21297, 19448, 3660, 676, 5010, 533, 24514, 269, 634, 8545, 568, 1655, 14284, 267, 607, 621, 3411, 665, 919, 519, 6492, 543, 1419, 2306, 519, 21297, 12285, 344, 267, 3079, 540, 13621, 538, 707, 5023, 563, 290, 4599, 11945, 21297, 454, 763, 21297, 568, 5594, 15280, 267, 855, 16919, 8748, 593, 12765, 1229, 887, 770, 267, 513, 23732, 585, 1022, 18397, 609, 13212, 267, 610, 6039, 609, 9006, 2581, 543, 3014, 563, 273, 11899, 26029, 13212, 454, 310, 1662, 519, 26029, 13212, 630, 528, 824, 4829, 264, 543, 4894, 1022, 6926, 332, 1639, 3283, 269, 9255, 538, 513, 1875, 2275, 528, 4592, 633, 3443, 543, 18923, 3382, 609, 1216, 269, 20780, 547, 519, 14974, 543, 1577, 519, 4829, 19389, 585, 1472, 476, 736, 3764, 267, 610, 2394, 621, 568, 2571, 267, 9427, 1022, 1085, 636, 689, 519, 1283, 269, 631, 1662, 519, 4829, 883, 513, 897, 6387, 20898, 609, 513, 1360, 2973, 12308, 610, 1660, 4802, 543, 1747, 936, 513, 1804, 12826, 1107, 519, 12308, 1590, 581, 2462, 2614, 585, 596, 547, 17063, 513, 4062, 540, 5569, 1472, 621, 2899, 621, 779, 2407, 540, 4829, 267, 865, 596, 666, 7080, 754, 519, 2898, 3364, 585, 519, 10433, 547, 30620, 998, 269, 1280, 519, 5666, 2016, 1934, 267, 594, 2303, 596, 13793, 519, 4829, 689, 519, 7148, 543, 3274, 1747, 519, 12826, 538, 519, 16173, 269, 1403, 596, 1118, 513, 3677, 2179, 267, 596, 666, 17063, 519, 15174, 540, 519, 12308, 547, 519, 7953, 540, 606, 15399, 29354, 11381, 267, 609, 519, 10160, 16889, 593, 519, 3349, 269, 1684, 711, 267, 896, 1022, 6381, 267, 25837, 519, 9126, 267, 519, 10433, 1590, 30620, 693, 922, 1378, 3432, 269, 23680, 16074, 563, 5629, 972, 568, 1100, 811, 10433, 547, 2097, 998, 267, 2268, 519, 9115, 540, 519, 12826, 267, 1287, 1747, 538, 513, 1804, 3443, 269, 5410, 476, 16020, 326, 4006, 829, 2148, 269, 2311, 713, 1448, 267, 596, 1058, 849, 2322, 513, 1507, 10518, 540, 10487, 6203, 610, 1507, 10824, 883, 707, 26806, 547, 3579, 454, 289, 11798, 519, 10433, 543, 4006, 1927, 25525, 3585, 267, 9427, 1022, 1085, 636, 269, 634, 4259, 1448, 540, 519, 10433, 666, 581, 6603, 1360, 3728, 267, 610, 1491, 476, 736, 3764, 540, 14495, 269, 6744, 676, 5671, 6137, 513, 1507, 23188, 593, 547, 835, 540, 707, 4411, 10487, 6203, 1287, 13868, 621, 538, 519, 26806, 269, 4495, 621, 814, 22799, 267, 2196, 707, 9416, 998, 519, 21297, 281, 952, 621, 8255, 267, 621, 779, 711, 8737, 267, 952, 621, 32060, 267, 621, 568, 269, 1403, 707, 21297, 814, 711, 1305, 1310, 476, 736, 3764, 540, 14495, 267, 621, 4440, 2760, 786, 1107, 855, 596, 786, 723, 513, 17681, 21360, 585, 28916, 543, 3443, 31817, 610, 585, 7657, 1681, 12403, 338, 543, 2261, 514, 3547, 563, 303, 712, 519, 21297, 883, 513, 10322, 28895, 20220, 543, 4734, 621, 547, 3579, 1354, 8380, 519, 561, 1749, 593, 269, 1403, 596, 1616, 547, 1118, 2386, 602, 519, 21297, 3085, 1406, 1332, 9044, 344, 267, 1039, 513, 2370, 6216, 344, 610, 22090, 5652, 547, 519, 30660, 25656, 543, 2285, 873, 513, 21199, 630, 5976, 519, 19984, 593, 267, 540, 1576, 5148, 4894, 267, 610, 4235, 519, 1543, 1354, 596, 1039, 519, 21297, 563, 9928, 663, 20680, 1014, 595, 4599, 11197, 267, 2854, 676, 8776, 918, 329, 565, 6199, 454, 8722, 1155, 3239, 630, 517, 1283, 2567, 17421, 676, 22816, 5406, 776, 0, 763, 1654, 1206, 616, 1631, 9301, 602, 556, 1456, 9640, 723, 835, 540, 519, 5207, 13685, 540, 8840, 1524, 1985, 547, 5198, 9640, 282, 543, 8909, 569, 519, 1482, 12556, 269, 3220, 269, 16827, 16019, 267, 667, 30470, 3081, 968, 933, 723, 3964, 602, 16625, 8194, 593, 519, 4745, 689, 519, 18942, 2773, 666, 2014, 28115, 894, 2242, 547, 519, 20162, 543, 7633, 563, 3674, 12081, 532, 2182, 593, 9640, 888, 2005, 568, 1360, 14053, 267, 1312, 15508, 543, 9308, 267, 585, 891, 9640, 547, 5721, 693, 513, 1762, 2085, 269, 4256, 30273, 1062, 1590, 581, 2324, 693, 7920, 3928, 267, 1813, 547, 519, 1762, 2085, 693, 799, 556, 1456, 9640, 2253, 2866, 563, 1692, 798, 594, 3247, 556, 1456, 888, 295, 8582, 9215, 23140, 21815, 22400, 670, 3036, 10345, 9215, 12164, 301, 17614, 5442, 589, 20793, 2839, 5058, 5254, 8008, 454, 3963, 798, 10800, 2692, 903, 1118, 741, 9640, 13472, 888, 20228, 728, 10824, 723, 9962, 3046, 5374, 543, 616, 23704, 982, 2834, 9640, 327, 3996, 267, 609, 1256, 519, 17970, 9843, 19429, 547, 581, 23574, 609, 519, 21489, 269, 1879, 519, 7504, 2371, 922, 12042, 3952, 585, 513, 23510, 3247, 267, 519, 10887, 1450, 519, 12042, 7953, 547, 13472, 2059, 519, 2666, 609, 1447, 4187, 563, 1432, 568, 556, 1456, 24565, 593, 888, 3725, 1456, 568, 24565, 593, 1614, 1292, 2035, 281, 6198, 2953, 1145, 267, 18902, 951, 543, 10182, 563, 6701, 556, 1456, 9640, 22588, 9640, 888, 3725, 1456, 814, 1044, 1572, 519, 10571, 720, 540, 519, 7262, 1158, 267, 543, 621, 779, 513, 7328, 1141, 519, 1977, 22588, 21696, 9742, 2531, 7149, 269, 1306, 538, 10571, 720, 267, 513, 31115, 21804, 513, 6394, 7504, 998, 513, 11311, 556, 1456, 4806, 1247, 1373, 24565, 593, 5347, 1145, 267, 1852, 267, 10182, 543, 22717, 572, 563, 3674, 8262, 700, 1157, 10363, 888, 288, 269, 590, 1681, 568, 519, 30907, 543, 10363, 272, 2259, 540, 22393, 1102, 997, 1154, 1928, 547, 21179, 622, 519, 1850, 5163, 540, 9640, 547, 2744, 606, 15490, 5413, 538, 519, 1397, 8258, 269, 634, 9221, 30041, 1193, 728, 6913, 676, 521, 1681, 568, 1634, 538, 519, 2872, 607, 519, 968, 15927, 561, 1157, 6100, 1627, 563, 1432, 9742, 540, 7504, 568, 1655, 585, 556, 1456, 888, 7212, 972, 616, 1100, 7687, 593, 7504, 14981, 1369, 519, 7328, 267, 6006, 9640, 971, 607, 22588, 32130, 267, 24484, 32130, 267, 543, 2561, 14900, 657, 553, 616, 519, 1283, 14981, 538, 556, 1456, 19194, 563, 1432, 568, 519, 3017, 1063, 513, 556, 1456, 7504, 543, 513, 5969, 7504, 888, 2691, 2866, 513, 7504, 547, 2759, 267, 519, 10800, 3947, 519, 7504, 519, 21855, 543, 6920, 519, 2838, 3527, 585, 519, 7504, 269, 634, 31115, 7475, 909, 1373, 519, 2048, 14585, 516, 2758, 685, 547, 513, 1360, 1804, 4110, 3379, 547, 556, 1456, 1141, 519, 31115, 3947, 519, 21855, 540, 2962, 543, 519, 8846, 547, 519, 9640, 563, 2710, 645, 1080, 670, 4669, 32130, 286, 1548, 3657, 1358, 1280, 888, 290, 826, 532, 589, 21696, 1280, 1234, 1456, 570, 5281, 1656, 1975, 1231, 267, 851, 476, 273, 454, 2710, 645, 1080, 26419, 670, 4669, 634, 21696, 779, 631, 1926, 286, 0, 2704, 560, 549, 655, 4997, 561, 25788, 5810, 4122, 1572, 519, 3131, 12320, 1014, 561, 1176, 610, 561, 1176, 540, 519, 5549, 553, 267, 568, 513, 12593, 540, 827, 476, 2004, 2249, 540, 15496, 2371, 538, 519, 1920, 1325, 560, 549, 655, 4997, 576, 2801, 267, 5631, 689, 519, 3579, 267, 29990, 4525, 269, 1358, 616, 782, 5065, 547, 3162, 3013, 4352, 930, 723, 1831, 2067, 1242, 538, 519, 2136, 2276, 267, 6792, 267, 5245, 267, 1715, 10215, 267, 17214, 4275, 543, 519, 2052, 776, 11866, 269, 1325, 560, 549, 655, 4997, 8768, 568, 12572, 540, 5763, 267, 13884, 543, 19539, 269, 898, 568, 849, 519, 8768, 540, 11505, 563, 2704, 560, 549, 655, 4997, 568, 513, 5594, 1990, 17789, 25806, 630, 321, 559, 831, 958, 27101, 264, 8768, 609, 476, 274, 694, 335, 1023, 543, 476, 274, 267, 3622, 267, 4174, 6244, 24968, 269, 634, 694, 335, 1023, 543, 24968, 593, 519, 1325, 560, 549, 655, 4997, 616, 2147, 538, 2681, 543, 9403, 269, 1325, 560, 549, 655, 4997, 568, 811, 899, 6371, 1141, 519, 15532, 979, 909, 519, 3762, 855, 9039, 4839, 4221, 2066, 269, 4256, 3762, 616, 26700, 1524, 269, 634, 6978, 23538, 607, 621, 3762, 519, 6565, 865, 602, 519, 5377, 568, 6849, 20733, 563, 5278, 15661, 540, 1325, 560, 549, 655, 4997, 700, 25788, 454, 19950, 532, 12700, 827, 1325, 560, 549, 655, 4997, 700, 25788, 454, 268, 3509, 29528, 543, 827, 476, 5002, 28212, 540, 1325, 560, 549, 655, 4997, 723, 1044, 2919, 267, 609, 1114, 24795, 543, 4778, 267, 8151, 689, 3043, 267, 11344, 5835, 267, 10538, 282, 547, 3284, 878, 582, 267, 11909, 267, 2699, 267, 13711, 543, 32175, 563, 268, 1325, 560, 549, 655, 4997, 5810, 723, 1100, 32709, 563, 268, 1325, 560, 549, 655, 4997, 5810, 723, 513, 642, 848, 1272, 540, 827, 1079, 4374, 563, 268, 3502, 782, 1325, 560, 549, 655, 4997, 723, 4174, 6244, 24968, 563, 268, 1325, 560, 549, 655, 4997, 13515, 6721, 5810, 952, 789, 1205, 1932, 3905, 563, 268, 1325, 560, 549, 655, 4997, 5810, 16036, 1282, 3735, 5614, 610, 2038, 4832, 563, 268, 1325, 560, 549, 655, 4997, 2501, 538, 10538, 267, 11909, 267, 9782, 267, 13711, 267, 2699, 267, 5835, 267, 3043, 610, 13687, 4778, 563, 268, 1325, 560, 549, 655, 4997, 568, 3957, 1310, 519, 16528, 7762, 534, 626, 918, 20393, 13153, 1325, 560, 549, 655, 518, 267, 945, 729, 513, 20194, 540, 519, 1390, 27386, 29976, 700, 4883, 30906, 563, 268, 634, 12593, 1325, 560, 549, 655, 4997, 5161, 540, 827, 476, 2004, 2249, 563, 268, 4107, 2413, 10316, 1325, 560, 549, 655, 4997, 2371, 616, 9070, 730, 538, 513, 8047, 563, 2791, 666, 1376, 9513, 620, 560, 549, 655, 4997, 561, 25788, 4444, 9140, 17783, 1446, 4195, 561, 25788, 5810, 689, 938, 2228, 6300, 543, 596, 786, 1205, 519, 1655, 2298, 540, 5810, 602, 786, 2063, 3476, 269, 0, 1607, 1599, 267, 538, 1880, 267, 814, 519, 2093, 3267, 3918, 4696, 27749, 454, 2521, 519, 772, 308, 2839, 9074, 540, 5124, 563, 2690, 1383, 267, 3267, 3918, 4696, 27749, 454, 28775, 713, 786, 948, 596, 1862, 23911, 20861, 454, 763, 20105, 10035, 568, 1496, 11034, 281, 754, 281, 21163, 4940, 5153, 815, 3267, 3918, 4696, 27749, 454, 26625, 846, 596, 723, 513, 5569, 609, 513, 3267, 3918, 4696, 27749, 454, 2791, 666, 849, 946, 519, 4351, 5399, 781, 3267, 3918, 4696, 27749, 454, 3712, 832, 815, 18358, 1042, 3299, 1412, 13582, 3299, 3267, 3918, 4696, 27749, 454, 5319, 636, 4733, 3890, 1505, 8591, 513, 4831, 547, 606, 3267, 3918, 4696, 27749, 454, 23911, 3763, 518, 9021, 1331, 1603, 543, 4152, 3267, 3918, 4696, 27749, 454, 23911, 568, 8197, 606, 1843, 20218, 5752, 3267, 3918, 4696, 27749, 454, 4263, 2547, 476, 272, 5580, 30924, 543, 476, 272, 2539, 30924, 4484, 454, 14737, 3065, 476, 279, 3197, 543, 26228, 476, 2004, 3197, 454, 2704, 2819, 723, 606, 2272, 286, 6178, 538, 269, 0, 20062, 2969, 4959, 589, 5254, 11286, 16810, 888, 2171, 666, 1289, 513, 3399, 10000, 513, 3728, 21212, 14679, 602, 568, 3964, 547, 2743, 513, 1808, 2344, 3747, 267, 5356, 606, 5499, 1587, 610, 3028, 269, 901, 540, 339, 10276, 322, 11323, 1523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 1916, 290, 2967, 267, 962, 269, 1696, 620, 269, 5940, 3307, 14883, 1049, 2829, 540, 16568, 17336, 268, 273, 21782, 3940, 269, 3163, 476, 3607, 280, 267, 476, 15647, 277, 1700, 14689, 273, 630, 1708, 271, 1916, 307, 1755, 385, 486, 990, 5451, 267, 645, 269, 1696, 620, 269, 769, 2198, 7293, 2079, 540, 16568, 17336, 268, 273, 21782, 8761, 8112, 25358, 676, 1614, 31963, 269, 3163, 476, 24907, 267, 476, 10711, 1700, 21172, 630, 1708, 271, 1916, 5522, 14397, 267, 808, 269, 589, 269, 1696, 620, 269, 1975, 833, 15817, 667, 277, 1691, 294, 32290, 16568, 17336, 268, 273, 8516, 269, 7186, 476, 30020, 267, 476, 14138, 1700, 13199, 630, 1708, 272, 1916, 310, 340, 267, 589, 269, 1696, 620, 269, 32081, 5888, 543, 27754, 540, 519, 3209, 11452, 630, 1001, 280, 5991, 10870, 309, 264, 23608, 538, 3624, 269, 8426, 21118, 5843, 2041, 476, 2767, 267, 476, 23283, 1700, 29044, 630, 1708, 271, 1916, 298, 574, 267, 667, 269, 1696, 620, 269, 634, 6189, 540, 16568, 17336, 268, 273, 13973, 727, 269, 8426, 476, 8687, 267, 476, 280, 1691, 1700, 280, 2641, 4318, 1015, 630, 1708, 271, 1916, 17812, 267, 962, 269, 1696, 620, 269, 715, 16197, 665, 2355, 573, 3940, 19684, 547, 18643, 20675, 5524, 23838, 4249, 513, 2629, 1909, 538, 8318, 822, 12637, 1272, 4783, 269, 808, 269, 22870, 1503, 269, 476, 11463, 267, 552, 25171, 1839, 1700, 866, 630, 1708, 271, 1916, 2704, 332, 1794, 17505, 267, 674, 1421, 8895, 17505, 267, 595, 269, 1299, 2037, 9857, 6951, 267, 700, 269, 634, 7576, 29952, 568, 2838, 585, 3608, 11452, 11646, 18643, 269, 808, 269, 22870, 1503, 269, 476, 4281, 267, 476, 14695, 10695, 1700, 14695, 6434, 630, 1220, 275, 1916, 310, 340, 267, 595, 269, 670, 1421, 16441, 267, 623, 269, 808, 269, 1299, 962, 12317, 267, 590, 269, 670, 269, 715, 16197, 665, 2355, 573, 8485, 800, 3175, 543, 10717, 21484, 848, 30250, 311, 272, 19684, 6087, 11452, 5912, 689, 19944, 6681, 547, 6024, 16606, 269, 8426, 21118, 5843, 2041, 476, 1626, 267, 476, 5379, 273, 1700, 5325, 273, 630, 1001, 275, 1916, 313, 14243, 10722, 27004, 267, 590, 269, 1696, 620, 269, 27649, 7576, 665, 2355, 573, 3940, 16881, 10959, 15175, 543, 568, 2838, 585, 3608, 16606, 269, 808, 269, 22870, 1503, 269, 476, 10019, 267, 476, 21327, 280, 1700, 24241, 276, 630, 1001, 271, 1916, 2419, 836, 267, 595, 269, 918, 1421, 17921, 267, 631, 269, 670, 1421, 26284, 267, 595, 269, 674, 1421, 670, 338, 26820, 267, 595, 269, 667, 269, 1299, 29399, 267, 570, 269, 670, 269, 634, 16568, 11452, 7576, 665, 2355, 573, 3940, 1700, 13257, 543, 3252, 269, 4165, 643, 597, 269, 1763, 269, 476, 9818, 267, 476, 4375, 1700, 2004, 630, 1001, 275, 1916, 289, 537, 327, 5417, 537, 267, 631, 269, 1696, 620, 269, 634, 6820, 1912, 6664, 800, 3175, 23721, 540, 16568, 17336, 268, 273, 25124, 269, 8426, 476, 9264, 267, 476, 277, 5952, 1700, 278, 1321, 4318, 866, 630, 1708, 271, 1916, 291, 822, 1749, 517, 267, 589, 269, 667, 269, 1696, 620, 269, 10886, 5314, 540, 519, 13973, 727, 543, 2926, 727, 540, 16568, 17336, 268, 273, 8761, 513, 1591, 8574, 13251, 538, 1922, 9347, 32280, 540, 519, 9663, 514, 6438, 1579, 822, 720, 3135, 689, 519, 21782, 9848, 19817, 4710, 514, 269, 32081, 2405, 269, 476, 1321, 267, 476, 6924, 630, 1708, 271, 1916, 297, 2158, 267, 715, 269, 1696, 620, 269, 715, 1188, 3082, 528, 5946, 3095, 26669, 12541, 547, 519, 957, 514, 11118, 18929, 13987, 540, 8459, 10540, 14231, 269, 7186, 476, 24496, 267, 476, 279, 1240, 1700, 279, 2537, 630, 1220, 277, 1916, 289, 534, 329, 1228, 267, 590, 269, 1299, 25347, 267, 631, 269, 918, 269, 18001, 13289, 540, 1617, 20884, 5946, 666, 3895, 24159, 540, 9245, 13364, 269, 4432, 1057, 476, 274, 267, 552, 271, 6078, 2537, 630, 1001, 275, 1916, 14187, 324, 267, 645, 269, 700, 1421, 10507, 7219, 267, 808, 269, 589, 269, 1299, 654, 754, 1633, 267, 645, 269, 2920, 514, 543, 1439, 26014, 2670, 538, 27503, 13803, 269, 21834, 476, 1960, 267, 476, 25628, 1700, 3374, 279, 630, 1001, 276, 1916, 4537, 534, 267, 2098, 269, 1696, 620, 269, 5178, 531, 28198, 540, 715, 3518, 543, 623, 517, 1950, 3842, 5123, 5912, 1282, 667, 4592, 32166, 5778, 4565, 770, 12623, 13240, 6498, 269, 14844, 269, 4004, 269, 476, 280, 267, 476, 278, 4391, 630, 1001, 279, 1916, 312, 836, 267, 623, 269, 1696, 620, 269, 717, 274, 21990, 272, 568, 513, 7113, 762, 6467, 602, 12153, 5123, 9668, 547, 27043, 2566, 11491, 2737, 269, 8426, 476, 8687, 267, 476, 23283, 1700, 24833, 4318, 2764, 630, 1708, 271, 1916, 5719, 14982, 267, 595, 269, 808, 269, 1299, 26436, 267, 681, 269, 623, 1532, 3672, 543, 2566, 11491, 2737, 281, 2009, 5107, 538, 519, 1852, 540, 8144, 543, 22328, 12159, 269, 12019, 11354, 4498, 321, 269, 6431, 1051, 269, 22776, 269, 476, 275, 267, 513, 23713, 30525, 630, 1001, 273, 1916, 299, 24926, 267, 808, 269, 700, 269, 1299, 11829, 267, 808, 269, 717, 269, 772, 4703, 616, 11118, 32194, 3889, 602, 2270, 2712, 26593, 11656, 1507, 6046, 10775, 31265, 24418, 1231, 543, 12314, 609, 623, 4703, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 10441, 267, 476, 14138, 4649, 1700, 14138, 6795, 630, 1220, 278, 1916, 5591, 329, 9874, 267, 670, 269, 1696, 620, 269, 16522, 5429, 514, 267, 513, 5179, 3940, 3095, 518, 267, 8060, 24725, 8990, 269, 4886, 476, 15389, 267, 476, 280, 2537, 1700, 280, 3451, 630, 1001, 271, 1916, 289, 5803, 267, 661, 269, 1696, 620, 269, 2549, 2643, 1355, 6438, 1582, 23829, 12273, 540, 513, 269, 8426, 269, 3281, 3477, 269, 8426, 476, 14917, 267, 476, 277, 4391, 1700, 20981, 630, 1001, 277, 1916, 30537, 267, 700, 269, 1696, 620, 269, 25674, 2470, 540, 1579, 822, 720, 4703, 543, 741, 8901, 2078, 547, 30250, 311, 272, 4703, 267, 595, 1690, 531, 4703, 267, 543, 21889, 269, 20703, 269, 22776, 269, 8426, 476, 1704, 267, 476, 12208, 277, 1700, 14625, 271, 630, 1220, 277, 1916, 21652, 342, 1120, 518, 267, 918, 269, 661, 1421, 24778, 3266, 267, 808, 269, 589, 269, 1299, 11829, 267, 808, 269, 717, 269, 595, 1690, 531, 4703, 267, 7576, 10008, 267, 543, 1179, 330, 956, 538, 519, 2473, 523, 22455, 522, 22889, 13540, 723, 513, 1970, 29213, 267, 26703, 6438, 2497, 269, 20703, 269, 22776, 269, 8426, 476, 1626, 267, 476, 1708, 1700, 21076, 630, 1220, 276, 1916, 301, 714, 9564, 267, 2098, 1421, 667, 2044, 639, 515, 9366, 267, 590, 269, 1299, 11829, 267, 808, 269, 717, 269, 634, 595, 1690, 531, 1560, 543, 1277, 821, 30580, 1560, 269, 12019, 11354, 4498, 321, 269, 6431, 1051, 269, 22776, 269, 476, 273, 267, 513, 1822, 4792, 274, 630, 1001, 271, 1916, 29409, 574, 9369, 267, 631, 269, 1299, 4425, 518, 14150, 601, 267, 595, 269, 674, 269, 634, 1909, 540, 6046, 4703, 538, 5444, 4082, 543, 2068, 269, 10334, 269, 630, 15368, 601, 264, 476, 273, 267, 476, 9032, 277, 1700, 9818, 274, 630, 1001, 274, 1916, 290, 879, 14024, 267, 681, 269, 808, 269, 26155, 5250, 2390, 7587, 5737, 26155, 514, 274, 21467, 343, 16054, 538, 667, 4592, 32166, 269, 8426, 22776, 269, 2271, 269, 476, 3374, 267, 476, 11277, 274, 1700, 11277, 279, 630, 1001, 272, 1916, 306, 1051, 528, 267, 667, 269, 700, 269, 1299, 19681, 1180, 267, 589, 269, 594, 269, 17437, 1179, 330, 956, 269, 12019, 11354, 4498, 321, 269, 6431, 1051, 269, 22776, 269, 476, 274, 267, 513, 1822, 5038, 277, 630, 1001, 272, 1916, 306, 1051, 528, 267, 667, 269, 700, 269, 17437, 11890, 269, 808, 269, 8426, 2233, 269, 476, 14625, 267, 476, 29579, 272, 1700, 29579, 274, 630, 1220, 272, 1916, 295, 1551, 10247, 267, 808, 269, 589, 269, 1696, 620, 269, 1234, 6473, 2566, 28901, 476, 7871, 21990, 272, 25202, 744, 8976, 11890, 538, 717, 272, 2281, 269, 808, 269, 8426, 22776, 269, 476, 4350, 267, 476, 9032, 1700, 10482, 630, 1001, 272, 1916, 303, 597, 549, 1777, 320, 267, 966, 269, 1299, 9149, 267, 670, 269, 645, 269, 589, 2070, 540, 6046, 12443, 18474, 4703, 269, 4354, 337, 269, 25709, 269, 2637, 564, 269, 8061, 269, 476, 2420, 267, 476, 6200, 1700, 11820, 630, 1001, 273, 1916, 299, 4150, 332, 663, 5174, 516, 527, 523, 22138, 267, 966, 269, 1299, 632, 774, 2946, 267, 670, 269, 6751, 299, 6046, 4703, 269, 12019, 11354, 4498, 321, 269, 6431, 1051, 269, 22776, 269, 476, 273, 267, 513, 1822, 5780, 272, 630, 1001, 271, 1916, 291, 584, 517, 1470, 267, 681, 269, 808, 269, 1299, 3057, 345, 1663, 742, 267, 654, 269, 674, 269, 18509, 3215, 1591, 4783, 15696, 4327, 1277, 821, 5444, 4082, 998, 10198, 543, 1599, 540, 519, 1277, 821, 30580, 1560, 269, 10717, 22776, 269, 476, 1691, 267, 476, 278, 2918, 1700, 278, 4343, 630, 1001, 278, 1916, 295, 3317, 580, 267, 590, 269, 1696, 620, 269, 2398, 542, 6438, 11890, 538, 10717, 11006, 5946, 616, 1898, 585, 2679, 1016, 333, 13086, 8934, 701, 1188, 956, 269, 808, 269, 8426, 22776, 269, 476, 13975, 267, 476, 276, 3066, 1700, 276, 4375, 630, 1001, 276, 1916, 303, 3326, 1442, 267, 595, 269, 1299, 29399, 267, 590, 269, 634, 829, 514, 16197, 6897, 26654, 269, 12019, 11354, 4498, 321, 269, 6431, 1051, 269, 22776, 269, 476, 273, 267, 513, 1822, 6858, 280, 630, 1001, 271, 1916, 2171, 1131, 899, 547, 23294, 1125, 547, 1346, 3173, 4171, 1644, 960, 649, 941, 711, 2111, 547, 13712, 538, 713, 2689, 269, 901, 960, 729, 6462, 676, 513, 2027, 1982, 689, 519, 12080, 540, 3163, 543, 5303, 540, 3624, 630, 1001, 277, 312, 11902, 30588, 7742, 271, 547, 700, 269, 313, 13776, 519, 4457, 2817, 7849, 3163, 8750, 338, 630, 29204, 7742, 1724, 267, 476, 22332, 278, 1691, 6872, 267, 543, 476, 280, 1704, 276, 4029, 4375, 547, 700, 269, 313, 5919, 476, 28760, 278, 1691, 4962, 543, 476, 25628, 278, 1691, 2568, 547, 674, 269, 313, 5919, 476, 280, 736, 276, 4029, 1691, 267, 476, 17168, 3583, 277, 3953, 547, 670, 11482, 13776, 2098, 515, 10202, 836, 28393, 1017, 7849, 3163, 7690, 540, 3624, 896, 16827, 630, 299, 289, 312, 2641, 295, 271, 2568, 9826, 547, 700, 269, 313, 4700, 543, 519, 6481, 543, 519, 6481, 543, 2657, 3194, 5741, 540, 2098, 515, 10202, 836, 19435, 630, 1708, 271, 13612, 12893, 547, 700, 269, 313, 13776, 808, 21628, 24175, 2817, 3163, 7690, 630, 289, 298, 1001, 8517, 6246, 543, 476, 866, 298, 297, 288, 20862, 19740, 547, 674, 269, 313, 13776, 519, 2098, 515, 10202, 836, 7849, 3163, 8750, 630, 17162, 866, 290, 271, 3583, 9826, 1729, 700, 269, 313, 13776, 519, 3624, 2817, 5403, 4777, 28118, 5358, 585, 30404, 13669, 757, 630, 289, 311, 1708, 6344, 279, 547, 570, 6185, 13776, 519, 3624, 5403, 4777, 28118, 3163, 7690, 630, 1708, 272, 300, 7597, 273, 12573, 547, 570, 6185, 13776, 543, 519, 6206, 5741, 540, 2160, 7849, 3163, 7690, 540, 808, 21628, 24175, 19435, 630, 866, 298, 297, 288, 20862, 19740, 264, 543, 589, 1788, 8750, 539, 676, 519, 13405, 640, 14288, 5358, 4886, 540, 808, 21628, 24175, 14451, 4065, 30543, 563, 763, 4589, 17551, 1100, 12721, 4690, 563, 305, 2074, 543, 27704, 454, 15411, 7457, 901, 2376, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 267, 799, 14998, 946, 267, 4687, 267, 9542, 267, 3892, 543, 12093, 538, 1022, 5420, 610, 3898, 267, 607, 1279, 607, 596, 2285, 3617, 5491, 547, 519, 3312, 2278, 4433, 264, 543, 519, 2707, 267, 1683, 513, 3095, 547, 519, 11300, 12780, 12689, 267, 543, 5815, 952, 2242, 941, 1500, 269, 634, 2592, 610, 824, 3791, 5428, 1570, 538, 713, 2376, 616, 3769, 538, 519, 2376, 779, 11300, 12780, 12689, 267, 8259, 8612, 6382, 538, 513, 5491, 1899, 547, 519, 1570, 269, 1403, 1570, 568, 711, 3769, 538, 519, 2376, 779, 11300, 12780, 12689, 543, 707, 5497, 946, 568, 711, 15868, 676, 27152, 7939, 610, 20489, 519, 15868, 946, 267, 596, 786, 991, 547, 3489, 10479, 2047, 689, 519, 10677, 23649, 269, 1677, 2070, 513, 5299, 540, 713, 12689, 267, 3643, 5291, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 275, 269, 271, 270, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 310, 836, 267, 645, 1421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1004, 4308, 609, 2352, 8823, 543, 4606, 269, 1809, 1934, 781, 1018, 2306, 621, 1256, 811, 4277, 910, 649, 3513, 2263, 875, 891, 7886, 666, 3006, 4125, 938, 1007, 2828, 267, 519, 966, 7644, 307, 308, 3201, 8946, 2207, 4338, 3041, 4811, 256, 29836, 363, 692, 5331, 596, 1185, 513, 9157, 1554, 693, 1153, 282, 6148, 2576, 1767, 1945, 1611, 267, 610, 596, 4769, 1405, 798, 1134, 593, 513, 1449, 269, 1411, 1522, 1745, 8909, 267, 14221, 267, 610, 21616, 269, 3767, 4952, 952, 596, 1223, 2911, 547, 513, 3659, 945, 1131, 6432, 267, 948, 596, 1174, 707, 4606, 267, 543, 4001, 596, 2081, 547, 11883, 286, 2334, 781, 4010, 1018, 715, 4953, 1281, 256, 1656, 7058, 1018, 286, 6884, 267, 602, 2027, 3659, 666, 581, 513, 2780, 1982, 602, 6411, 899, 513, 1483, 13309, 256, 1215, 15813, 568, 602, 26834, 9462, 504, 478, 692, 4131, 781, 4685, 883, 1614, 1292, 2694, 547, 1620, 715, 4953, 609, 5691, 16293, 1384, 272, 269, 2878, 1432, 568, 715, 4953, 267, 543, 1946, 798, 649, 991, 621, 286, 12533, 14343, 14945, 16908, 666, 581, 4101, 267, 543, 3006, 649, 979, 998, 2182, 2053, 602, 4734, 721, 4743, 13347, 610, 18901, 269, 32695, 827, 1346, 2833, 609, 2576, 11215, 666, 2731, 948, 269, 2334, 781, 1141, 715, 4953, 2501, 538, 256, 898, 781, 513, 1259, 585, 1004, 547, 2671, 741, 2984, 543, 13720, 1022, 13943, 4555, 610, 4664, 789, 723, 827, 873, 269, 1635, 3257, 865, 267, 789, 666, 1376, 547, 1745, 1732, 543, 1847, 2250, 519, 7965, 780, 3086, 267, 1577, 781, 1589, 827, 4687, 938, 11580, 609, 513, 19766, 7473, 2207, 11550, 16165, 4456, 3079, 540, 513, 1480, 269, 16319, 9490, 267, 1318, 286, 4270, 267, 3744, 723, 1044, 4974, 2436, 713, 1223, 960, 267, 543, 930, 2038, 2164, 1413, 9621, 256, 1358, 1711, 3292, 602, 957, 899, 16293, 267, 6947, 5402, 543, 14775, 1489, 1947, 1175, 899, 513, 1268, 1131, 269, 1452, 5691, 16293, 666, 948, 1004, 1745, 6899, 2614, 547, 1930, 909, 543, 1376, 7231, 609, 741, 2042, 780, 273, 269, 2878, 21430, 2828, 609, 5691, 16293, 12533, 14343, 13430, 2791, 1522, 4898, 267, 834, 1692, 666, 594, 3972, 513, 2780, 609, 1250, 4606, 8119, 4279, 2243, 256, 12207, 917, 602, 2348, 513, 1434, 2078, 609, 938, 16293, 1107, 2436, 789, 2811, 3425, 610, 5904, 1107, 4249, 513, 1713, 1909, 538, 1818, 3356, 1282, 3797, 269, 1924, 267, 789, 2813, 1945, 1572, 519, 2608, 29919, 26935, 626, 19137, 17361, 265, 630, 309, 307, 3008, 1070, 799, 3800, 875, 1134, 1004, 1921, 609, 741, 5691, 16293, 780, 763, 966, 307, 3008, 11974, 1585, 3344, 540, 519, 11505, 1063, 596, 543, 519, 5691, 13309, 267, 971, 607, 952, 596, 3494, 789, 22992, 1416, 827, 596, 267, 952, 596, 1265, 873, 5363, 267, 543, 952, 596, 1616, 547, 1832, 2324, 609, 873, 269, 3807, 899, 538, 1483, 1272, 267, 2679, 513, 2178, 6125, 609, 707, 5691, 13309, 786, 1291, 547, 1732, 4093, 2439, 274, 269, 2878, 14818, 532, 938, 1007, 5691, 2828, 12533, 5785, 21387, 6524, 1210, 5691, 16293, 4922, 267, 649, 1590, 2327, 789, 2811, 2500, 269, 12824, 1685, 2090, 547, 1294, 952, 6158, 547, 513, 5691, 13309, 2965, 10607, 1004, 781, 2790, 1072, 269, 2290, 1883, 3364, 789, 4983, 568, 2436, 519, 4222, 540, 519, 966, 307, 3008, 6060, 630, 7474, 781, 707, 4276, 609, 519, 5691, 13309, 264, 5540, 875, 1454, 6454, 596, 1294, 1310, 3797, 269, 1403, 519, 2626, 568, 9811, 267, 1287, 649, 917, 602, 8108, 513, 1434, 6125, 609, 707, 5691, 3659, 5963, 6927, 2439, 3383, 972, 596, 723, 621, 256, 1284, 4121, 782, 827, 21931, 22452, 10657, 543, 1500, 930, 1007, 2828, 2059, 519, 1259, 1107, 519, 5863, 5691, 16293, 256, 5457, 267, 1100, 2339, 952, 621, 781, 513, 1483, 1268, 610, 513, 2780, 1982, 267, 6679, 909, 543, 4687, 707, 4606, 666, 1291, 547, 3532, 2242, 543, 948, 596, 7753, 2591, 269, 8414, 3695, 267, 12703, 3173, 256, 9462, 492, 487, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25889, 281, 14825, 730, 5691, 4641, 4598, 11257, 630, 309, 3918, 25629, 264, 616, 1582, 25298, 5574, 5342, 676, 13951, 543, 6462, 676, 513, 5691, 13309, 22993, 11617, 543, 5924, 609, 8301, 5955, 269, 901, 1138, 12885, 1082, 540, 519, 20060, 24594, 22228, 2609, 543, 1455, 2188, 1459, 538, 3068, 3562, 19904, 3797, 543, 949, 581, 513, 1797, 540, 5355, 15984, 547, 543, 12117, 540, 1582, 28621, 3660, 5574, 269, 1717, 267, 2370, 568, 1634, 827, 19710, 4724, 519, 5691, 13309, 267, 5103, 19710, 1373, 606, 1271, 27667, 540, 2126, 6364, 563, 29020, 281, 769, 713, 1353, 267, 649, 6322, 547, 6218, 519, 1101, 19710, 6293, 2919, 585, 946, 609, 22993, 5691, 16293, 538, 606, 12747, 2126, 3898, 9789, 14044, 26935, 626, 19137, 17361, 630, 309, 307, 3008, 28931, 2421, 630, 272, 264, 12570, 922, 2618, 6248, 3601, 267, 630, 273, 264, 2357, 4328, 519, 10155, 1275, 540, 519, 4336, 267, 543, 630, 274, 264, 8159, 519, 16762, 2702, 540, 519, 4336, 609, 2126, 6364, 563, 32325, 281, 589, 2618, 6248, 6268, 543, 30405, 3815, 2079, 540, 519, 966, 307, 3008, 729, 5342, 721, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 1551, 894, 22452, 10657, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 29960, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 7706, 540, 2780, 2257, 281, 8849, 5121, 543, 741, 2866, 1210, 1394, 335, 1886, 698, 566, 269, 22532, 5121, 616, 513, 1826, 540, 3684, 1565, 5690, 6273, 676, 519, 1480, 2634, 267, 2966, 547, 5431, 3270, 543, 1118, 3664, 269, 1677, 1174, 713, 1888, 267, 649, 786, 5490, 883, 519, 3177, 5124, 3009, 6256, 267, 799, 9727, 519, 946, 540, 513, 1808, 1826, 540, 8849, 3060, 4494, 1572, 10871, 15863, 16453, 1436, 630, 28384, 301, 6393, 2414, 2253, 267, 1577, 781, 3888, 519, 2556, 5399, 585, 2324, 609, 8849, 5121, 281, 12877, 307, 25403, 269, 1411, 666, 3888, 621, 1210, 519, 1739, 4971, 1384, 3499, 7090, 454, 256, 26921, 3888, 23290, 454, 7884, 5629, 8704, 267, 649, 666, 1104, 519, 2838, 13838, 1384, 3499, 7090, 454, 5814, 23290, 454, 5814, 23290, 8542, 333, 607, 562, 333, 454, 7884, 3086, 267, 1577, 781, 2736, 1524, 519, 3177, 3009, 6256, 269, 634, 3009, 568, 5258, 883, 1614, 1292, 2694, 281, 519, 2387, 8181, 10734, 4265, 518, 319, 1599, 267, 519, 2387, 10915, 2397, 319, 1599, 267, 543, 519, 2387, 641, 4671, 6856, 319, 1599, 780, 763, 2387, 8181, 10734, 4265, 518, 319, 1599, 568, 3743, 585, 4259, 909, 519, 12985, 3113, 585, 519, 700, 305, 301, 4494, 269, 898, 3217, 538, 519, 3403, 21723, 543, 10039, 519, 700, 305, 301, 5106, 1210, 519, 9138, 6724, 269, 634, 3977, 540, 713, 1599, 568, 513, 1592, 540, 9937, 832, 8204, 519, 2164, 540, 519, 700, 305, 301, 5106, 780, 763, 2387, 10915, 2397, 319, 1599, 5713, 607, 513, 4704, 6388, 585, 2866, 519, 700, 305, 301, 4494, 1210, 1394, 335, 1886, 698, 566, 269, 898, 6238, 676, 3355, 1944, 606, 8900, 1592, 1572, 2387, 14310, 18269, 3973, 267, 585, 1142, 9138, 3339, 1436, 2450, 630, 319, 985, 1125, 319, 1070, 621, 5932, 513, 21723, 609, 519, 3403, 1239, 543, 10039, 519, 700, 305, 301, 5106, 1210, 519, 2016, 6724, 269, 634, 2164, 616, 813, 2105, 547, 519, 2387, 14310, 319, 1592, 780, 9202, 267, 519, 1599, 21410, 519, 2040, 540, 519, 3977, 9937, 832, 1210, 519, 2387, 339, 25403, 27904, 319, 1599, 543, 5667, 638, 2465, 8240, 621, 547, 1039, 606, 3063, 10155, 1210, 2387, 339, 25403, 269, 12584, 638, 2465, 2763, 18269, 901, 2040, 568, 1287, 1031, 547, 12337, 519, 27080, 540, 519, 3977, 21723, 609, 2463, 547, 519, 3403, 21723, 1210, 519, 2387, 3724, 1189, 319, 1599, 269, 634, 27080, 616, 6740, 538, 519, 2387, 14310, 319, 1592, 780, 7661, 267, 519, 1599, 7024, 513, 1592, 5627, 519, 2040, 267, 922, 13506, 267, 543, 519, 27080, 540, 519, 3403, 9937, 832, 780, 763, 2387, 641, 4671, 6856, 319, 1599, 568, 3743, 585, 4152, 519, 6388, 540, 519, 700, 305, 301, 4494, 269, 898, 5036, 519, 3270, 547, 581, 1031, 585, 4152, 543, 8255, 519, 2387, 8181, 10734, 4265, 518, 319, 543, 2387, 10915, 2397, 319, 3252, 547, 5635, 741, 17016, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 519, 1523, 540, 10871, 15863, 16453, 1436, 630, 28384, 301, 1040, 700, 305, 301, 568, 513, 4494, 1031, 538, 28708, 531, 8849, 5121, 630, 290, 13585, 338, 264, 547, 2087, 519, 2203, 781, 2773, 676, 3339, 1944, 519, 1437, 725, 540, 15231, 11409, 269, 634, 700, 305, 301, 5106, 568, 3989, 607, 5205, 1384, 16465, 320, 3709, 343, 11971, 8703, 328, 348, 815, 1422, 2765, 21151, 3709, 343, 11971, 8703, 328, 12453, 263, 330, 1341, 1422, 10401, 1422, 8999, 3709, 329, 284, 10946, 263, 271, 267, 1775, 5991, 270, 273, 264, 8703, 2381, 18217, 268, 272, 267, 1775, 266, 333, 270, 273, 14587, 630, 320, 3709, 343, 11971, 8703, 329, 348, 8203, 273, 8203, 3189, 15883, 3686, 454, 9681, 3602, 1269, 320, 3709, 343, 11971, 8703, 328, 4151, 568, 519, 11852, 540, 519, 22813, 693, 2990, 18159, 343, 11971, 7751, 538, 519, 1269, 328, 27572, 628, 4183, 4786, 267, 1269, 301, 259, 568, 519, 2698, 1297, 540, 4183, 7851, 267, 1269, 333, 259, 568, 519, 2450, 540, 519, 3339, 1436, 6885, 267, 1269, 330, 8961, 4399, 10401, 8961, 543, 4399, 15883, 259, 616, 5409, 12407, 4394, 267, 543, 519, 2040, 568, 3144, 936, 519, 15231, 4183, 7851, 1369, 519, 3339, 1436, 6885, 780, 1103, 12863, 2474, 267, 700, 305, 301, 3339, 3278, 519, 1437, 725, 540, 513, 22813, 676, 12270, 621, 676, 513, 3815, 602, 5673, 593, 519, 1437, 725, 540, 922, 15231, 11409, 269, 901, 2337, 547, 2569, 519, 4835, 23656, 622, 6521, 267, 799, 568, 519, 1689, 538, 519, 3892, 540, 519, 11378, 547, 513, 22813, 607, 519, 2203, 568, 8036, 269, 1635, 3339, 1944, 519, 1437, 725, 267, 700, 305, 301, 2337, 519, 2203, 547, 1451, 811, 7561, 543, 2489, 1125, 1732, 547, 1007, 1239, 780, 3086, 602, 649, 723, 513, 1732, 1620, 540, 700, 305, 301, 543, 922, 1909, 538, 8849, 5121, 267, 1577, 781, 979, 1394, 547, 519, 3009, 6256, 269, 634, 2387, 8181, 10734, 4265, 518, 319, 1599, 10039, 519, 700, 305, 301, 5106, 547, 519, 3403, 21723, 1210, 519, 9138, 6724, 269, 634, 3977, 540, 713, 1599, 568, 513, 1592, 540, 9937, 832, 8204, 519, 2164, 540, 519, 700, 305, 301, 5106, 780, 763, 2387, 10915, 2397, 319, 1599, 5713, 607, 513, 4704, 6388, 585, 2866, 519, 700, 305, 301, 4494, 1210, 1394, 335, 1886, 698, 566, 269, 898, 6238, 676, 3355, 1944, 606, 8900, 1592, 1572, 2387, 14310, 18269, 3973, 267, 585, 1142, 9138, 3339, 1436, 2450, 630, 319, 985, 1125, 319, 1070, 621, 5932, 513, 21723, 609, 519, 3403, 1239, 543, 10039, 519, 700, 305, 301, 5106, 1210, 519, 2016, 6724, 269, 634, 2164, 616, 813, 2105, 547, 519, 2387, 14310, 319, 1592, 780, 9202, 267, 519, 1599, 21410, 519, 2040, 540, 519, 3977, 9937, 832, 1210, 519, 2387, 339, 25403, 27904, 319, 1599, 543, 5667, 638, 2465, 8240, 621, 547, 1039, 606, 3063, 10155, 1210, 2387, 339, 25403, 269, 12584, 638, 2465, 2763, 18269, 901, 2040, 568, 1287, 1031, 547, 12337, 519, 27080, 540, 519, 3977, 21723, 609, 2463, 547, 519, 3403, 21723, 1210, 519, 2387, 3724, 1189, 319, 1599, 269, 634, 27080, 616, 6740, 538, 519, 2387, 14310, 319, 1592, 780, 7661, 267, 519, 1599, 7024, 513, 1592, 5627, 519, 2040, 267, 922, 13506, 267, 543, 519, 27080, 540, 519, 3403, 9937, 832, 780, 763, 2387, 641, 4671, 6856, 319, 1599, 568, 3743, 585, 4152, 519, 6388, 540, 519, 700, 305, 301, 4494, 269, 898, 5036, 519, 3270, 547, 581, 1031, 585, 4152, 543, 8255, 519, 2387, 8181 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 949, 3100, 1950, 1631, 267, 6998, 2055, 267, 9363, 5483, 267, 543, 4687, 707, 4555, 8309, 3648, 2509, 5935, 513, 17321, 2104, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 1917, 547, 1847, 2676, 6546, 713, 5600, 814, 2808, 552, 1790, 564, 819, 476, 277, 1691, 28178, 267, 11341, 547, 606, 3486, 6876, 593, 6855, 6604, 267, 23982, 543, 3210, 563, 2005, 568, 513, 12257, 547, 4196, 896, 707, 11381, 26206, 2221, 267, 6004, 1744, 12609, 269, 594, 1101, 1616, 547, 9684, 519, 21936, 619, 585, 741, 5859, 269, 634, 21936, 814, 4607, 811, 982, 476, 14444, 267, 1822, 22782, 267, 543, 568, 4061, 1945, 602, 713, 5600, 1058, 1318, 569, 1865, 269, 634, 21936, 619, 2307, 602, 519, 6554, 3479, 547, 711, 19142, 1022, 3486, 14097, 593, 6855, 6604, 543, 23982, 3964, 676, 519, 2622, 2657, 25944, 8259, 621, 568, 9516, 998, 513, 1857, 22275, 31558, 563, 1103, 741, 3210, 547, 519, 21936, 619, 267, 1394, 538, 2904, 476, 1708, 273, 267, 519, 6554, 7150, 912, 2108, 2414, 2149, 2729, 267, 519, 4346, 543, 2104, 5481, 689, 2104, 5774, 12515, 267, 519, 5177, 2229, 7028, 513, 1007, 16155, 1532, 4193, 6293, 547, 7794, 6855, 6604, 267, 23982, 543, 3210, 3034, 5445, 8737, 741, 3210, 609, 2676, 22154, 1184, 540, 3731, 2305, 2636, 22987, 676, 11221, 556, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5767, 1576, 1770, 1141, 649, 786, 2263, 519, 4241, 1158, 540, 7214, 3959, 256, 1411, 1522, 723, 4862, 827, 24977, 267, 30931, 267, 610, 5299, 23412, 1354, 267, 855, 798, 596, 917, 1018, 789, 2731, 1611, 286, 4653, 267, 649, 786, 4685, 883, 513, 1483, 3734, 1383, 5473, 3906, 602, 1711, 4441, 543, 4808, 585, 1585, 6080, 899, 4070, 2326, 267, 3595, 3106, 267, 543, 2011, 14555, 1949, 269, 1284, 786, 849, 1451, 875, 891, 3906, 2149, 741, 3407, 960, 998, 1945, 1572, 519, 834, 15648, 2920, 257, 543, 519, 834, 299, 534, 5069, 2920, 2668, 1924, 1577, 781, 1205, 3323, 2439, 5331, 596, 5206, 513, 9735, 1650, 607, 851, 540, 513, 3860, 1603, 7084, 693, 707, 1153, 269, 2659, 2828, 2648, 621, 865, 1454, 602, 789, 1376, 4687, 621, 609, 3025, 789, 2743, 267, 1256, 3544, 540, 1362, 269, 6969, 596, 917, 621, 267, 1004, 782, 936, 4884, 616, 2542, 707, 1650, 1510, 4758, 596, 1022, 5491, 610, 13180, 256, 2334, 3085, 1405, 3100, 4023, 267, 1318, 286, 901, 3510, 14550, 1946, 15888, 991, 4027, 585, 741, 3312, 1568, 1107, 1175, 899, 1346, 3906, 2870, 2872, 4441, 780, 763, 834, 13563, 5980, 585, 13281, 543, 10049, 2437, 834, 13233, 9605, 10466, 5948, 2437, 543, 834, 13563, 5980, 540, 1261, 908, 267, 4676, 3419, 518, 908, 267, 543, 5794, 4211, 1180, 819, 532, 19296, 257, 616, 2516, 602, 1020, 543, 15476, 5036, 540, 3652, 267, 1634, 607, 834, 1056, 1841, 2437, 799, 948, 2327, 1919, 899, 5656, 267, 2472, 267, 543, 2533, 1599, 9108, 543, 7561, 269, 1452, 4441, 1831, 1898, 2200, 1369, 741, 9757, 6080, 269, 1677, 2061, 1866, 689, 25718, 610, 3765, 6748, 873, 1510, 10479, 267, 891, 3906, 666, 946, 2027, 20038, 3177, 676, 4031, 971, 607, 519, 14645, 2920, 543, 519, 28469, 5069, 2920, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 1142, 1876, 1384, 272, 269, 2878, 15648, 2920, 4995, 1879, 2576, 5932, 606, 3312, 4062, 540, 960, 1765, 3697, 1603, 267, 2575, 267, 1148, 267, 3301, 3009, 267, 9413, 267, 610, 6189, 6272, 9789, 17082, 8850, 4991, 12600, 2924, 547, 16196, 267, 15814, 267, 4159, 15597, 267, 1685, 267, 543, 1711, 12045, 1568, 1759, 593, 602, 3312, 4062, 269, 6056, 1394, 547, 707, 5863, 1650, 282, 952, 4896, 6499, 547, 2671, 621, 267, 3082, 621, 267, 610, 6133, 12215, 267, 789, 1590, 1101, 2307, 585, 707, 10479, 1317, 596, 3180, 922, 10677, 269, 6684, 267, 950, 519, 3906, 5018, 4505, 2097, 909, 609, 1007, 2872, 4441, 267, 1100, 835, 3116, 814, 519, 1318, 547, 3274, 5299, 543, 3262, 602, 1344, 1472, 1510, 1697, 28431, 780, 273, 269, 2878, 299, 534, 5069, 2920, 4995, 2755, 519, 14645, 2920, 6212, 5097, 593, 7863, 7499, 13144, 267, 519, 28469, 5069, 2920, 6663, 547, 16102, 30931, 267, 3028, 7436, 267, 543, 5010, 4408, 1031, 538, 16450, 269, 570, 2784, 655, 10225, 2356, 4125, 27291, 267, 1793, 690, 753, 267, 610, 6216, 4408, 2404, 609, 1808, 5370, 610, 2533, 269, 1280, 3236, 267, 4952, 595, 10087, 4211, 7637, 3843, 547, 3247, 1776, 2754, 689, 9513, 14614, 1210, 513, 2147, 20446, 610, 2012, 269, 3414, 519, 28469, 5069, 2920, 267, 4213, 666, 9718, 2933, 1996, 15490, 6735, 2853, 899, 7301, 10229, 610, 8429, 1055, 2576, 3116, 781, 1587, 607, 741, 1378, 780, 1103, 938, 1483, 8996, 1383, 267, 1614, 3906, 4956, 547, 647, 324, 5398, 269, 4910, 1830, 3820, 267, 5549, 1421, 934, 6748, 873, 540, 3423, 908, 1312, 519, 14645, 2920, 543, 519, 28469, 5069, 2920, 269, 4340, 547, 519, 3906, 267, 5398, 269, 4910, 1830, 3820, 23652, 741, 2872, 4441, 543, 7856, 873, 2228, 1510, 13844, 2556, 27704, 269, 5015, 267, 789, 10645, 602, 5398, 269, 4910, 1830, 3820, 1527, 1243, 689, 891, 3527, 1247, 4929, 10539, 1851, 6800, 3823, 23596, 906, 543, 30901, 609, 519, 3312, 3906, 780, 3086, 596, 1174, 811, 827, 1946, 1978, 20038, 2291, 585, 3312, 13144, 543, 2189, 1541, 13294, 538, 1870, 269, 1635, 1565, 827, 519, 14645, 2920, 543, 519, 28469, 5069, 2920, 267, 649, 5660, 519, 2956, 540, 18245, 824, 1004, 781, 2182, 960, 543, 5876, 269, 3807, 3314, 602, 8164, 596, 2328, 2984, 267, 2721, 5961, 267, 17492, 8964, 267, 610, 6427, 4376, 267, 2141, 2015, 5275, 5796, 593, 17516, 707, 7214, 3959, 2924, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10915, 17182, 8865, 3143, 269, 476, 1691, 4211, 309, 268, 5952, 278, 268, 4811, 5425, 636, 4424, 540, 713, 2013, 689, 2549, 269, 17502, 262, 344, 585, 13281, 1299, 10049, 642, 269, 5398, 269, 4910, 1830, 269, 7775, 326, 267, 5549, 563, 19111, 3143, 269, 476, 1724, 2275, 341, 268, 13199, 276, 630, 4811, 290, 264, 8865, 3143, 269, 476, 1691, 2275, 341, 268, 5400, 276, 278, 630, 4811, 290, 994, 6524, 519, 5480, 616, 20517, 543, 3444, 2173, 19600, 585, 5758, 10385, 538, 1079, 1644, 2665, 269, 5221, 972, 568, 1713, 23610, 543, 3656, 16937, 1063, 519, 1079, 2665, 267, 519, 5480, 2152, 713, 19597, 730, 6644, 547, 581, 19429, 538, 1312, 2665, 563, 5522, 5593, 14554, 1977, 5980, 585, 13281, 543, 10049, 9497, 17129, 300, 19823, 2817, 9605, 10466, 5948, 267, 5549, 269, 9497, 22143, 5183, 19823, 543, 1977, 5980, 540, 1261, 908, 267, 4676, 3419, 518, 908, 267, 543, 5794, 4211, 1180, 819, 532, 19296, 9497, 23808, 6938, 292, 8442, 630, 3712, 937, 1947, 834, 17129, 300, 1773, 5593, 14554, 8442, 4547, 9290, 1996, 4347, 754, 656, 5398, 269, 4910, 1830, 3820, 267, 5549, 269, 9497, 14276, 12754, 8442, 896, 519, 14645, 2920, 630, 1704, 772, 2529, 5861, 269, 19926, 476, 6200, 1696, 694, 336, 4700, 543, 519, 28469, 5069, 2920, 630, 1428, 772, 2529, 5861, 269, 19926, 476, 10755, 272, 1696, 694, 336, 13776, 10246, 3101, 10677, 26418, 618, 543, 22028, 26418, 618, 269, 1773, 5593, 14554, 1977, 12409, 3194, 5948, 267, 5549, 269, 9497, 288, 2207, 288, 19823, 1977, 16723, 5948, 267, 5549, 269, 9497, 288, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3116, 645, 1040, 16647, 263, 271, 994, 2018, 585, 9041, 538, 589, 1341, 645, 952, 7003, 10490, 264, 543, 7003, 16360, 994, 1038, 9948, 1341, 589, 1341, 645, 454, 1038, 2132, 24673, 692, 825, 568, 7685, 815, 568, 7685, 815, 20886, 328, 316, 585, 1775, 538, 3126, 2639, 825, 1247, 7003, 263, 529, 7685, 264, 3436, 476, 272, 912, 1038, 1820, 19629, 333, 2580, 568, 7685, 994, 1038, 24924, 626, 815, 12055, 263, 529, 7685, 994, 1038, 568, 7685, 815, 1496, 1067, 613, 5416, 267, 536, 264, 952, 536, 3116, 513, 454, 4449, 567, 585, 513, 267, 536, 538, 621, 1068, 8962, 269, 32502, 9078, 784, 652, 263, 559, 626, 267, 24924, 626, 264, 6540, 825, 2132, 568, 7685, 314, 271, 6540, 454, 2745, 263, 1067, 2471, 677, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 910, 272, 267, 910, 1911, 267, 476, 23310, 267, 476, 2420, 267, 476, 276, 28413, 0, 5228, 3014, 6983, 1712, 1104, 8943, 454, 5228, 3014, 26769, 18030, 1104, 1230, 18030, 454, 5228, 3014, 269, 16651, 1104, 26761, 454, 5228, 3014, 269, 549, 3122, 1104, 681, 8803, 454, 5228, 3014, 3052, 340, 612, 1104, 2871, 612, 692, 5035, 10615, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11519, 13892, 815, 8943, 4590, 1038, 1582, 11519, 935, 18030, 815, 1230, 18030, 4590, 1038, 1582, 11519, 549, 3122, 815, 681, 8803, 4590, 1038, 1582, 11519, 18141, 318, 2452, 532, 815, 6936, 692, 825, 1219, 1376, 14682, 877, 4311, 2187, 1038, 1582, 269, 2181, 6768, 14682, 877, 10797, 1038, 1247, 1582, 11519, 18141, 318, 2452, 532, 912, 2018, 1582, 10947, 17750, 338, 4590, 2018, 1582, 269, 26303, 4590, 2018, 1582, 269, 16059, 10797, 825, 1219, 5965, 14682, 877, 4311, 2187, 1038, 585, 562, 538, 2039, 263, 273, 2187, 2018, 2012, 815, 1582, 11519, 935, 18030, 18667, 6600, 257, 11767, 513, 2012, 585, 6345, 2715, 333, 1341, 476, 272, 348, 281, 19515, 2018, 6345, 815, 26761, 28442, 994, 2018, 1582, 11519, 549, 3122, 14491, 318, 16651, 263, 16651, 2020, 825, 1219, 1205, 17750, 338, 4311, 2187, 1038, 5716, 815, 1582, 11519, 549, 3122, 10947, 318, 2452, 619, 4590, 1038, 1582, 11519, 935, 18030, 269, 5891, 263, 2452, 619, 2020, 1038, 6345, 815, 1582, 11519, 549, 3122, 10947, 318, 9690, 4590, 1038, 1582, 11519, 935, 18030, 22182, 6600, 257, 346, 16651, 10947, 12173, 3890, 348, 262, 338, 2490, 281, 5602, 1038, 7058, 815, 2871, 612, 4311, 11519, 935, 18030, 18667, 20311, 2891, 1432, 568, 707, 7058, 286, 27328, 1038, 6345, 15630, 318, 29674, 263, 29674, 2020, 825, 1219, 9337, 4311, 2187, 1038, 6345, 815, 1582, 11519, 549, 3122, 10947, 318, 9690, 4590, 1038, 7058, 815, 6345, 10947, 318, 29674, 4590, 1038, 20726, 815, 1582, 11519, 13892, 10947, 318, 14310, 263, 29674, 994, 1038, 1948, 2745, 22607, 842, 994, 1038, 6345, 269, 26303, 20189, 842, 22607, 842, 2020, 825, 1219, 3977, 4311, 2187, 1038, 952, 1582, 11519, 13892, 3052, 340, 612, 539, 10031, 2018, 16771, 815, 1582, 11519, 549, 3122, 10947, 318, 9690, 4590, 2018, 2012, 815, 16771, 10947, 12173, 4590, 2018, 1820, 6600, 257, 315, 333, 346, 4067, 348, 4465, 32405, 2018, 1582, 11519, 18141, 318, 2452, 532, 815, 8771, 454, 1038, 1582, 11519, 549, 3122, 12785, 318, 16651, 3890, 0, 258, 335, 19553, 4141, 815, 27835, 4067, 9166, 262, 297, 4141, 3299, 1412, 21848, 9166, 476, 2420, 8679, 258, 335, 5332, 622, 815, 27835, 4067, 9166, 262, 301, 622, 3299, 1412, 21848, 9166, 476, 2420, 10926, 258, 12849, 815, 1496, 335, 19553, 4141, 267, 533, 5332, 622, 6540, 28744, 3799, 1868, 2020, 258, 23437, 533, 19553, 4141, 9131, 4067, 262, 6540, 258, 29264, 1210, 15044, 4590, 258, 1721, 1883, 267, 1871, 538, 533, 5332, 622, 29096, 10031, 258, 825, 1820, 31107, 267, 1871, 2020, 258, 1721, 2012, 538, 533, 5332, 622, 269, 12399, 10031, 258, 825, 1820, 28442, 2020, 258, 1721, 2012, 538, 533, 5332, 622, 269, 11161, 10031, 258, 825, 1820, 28442, 9239, 18411, 17484, 540, 3848, 454, 18257, 692, 329, 4141, 815, 27835, 4067, 9166, 1412, 333, 4141, 3299, 1412, 720, 9166, 476, 2420, 267, 1412, 19417, 9166, 1412, 277, 257, 272, 262, 8679, 333, 622, 815, 27835, 4067, 9166, 834, 333, 622, 2580, 1412, 720, 9166, 476, 2420, 267, 1412, 19417, 9166, 1412, 277, 257, 271, 262, 8679, 329, 659, 984, 815, 27835, 4067, 9166, 1412, 329, 659, 984, 3299, 1412, 720, 9166, 476, 2420, 267, 1412, 19417, 9166, 1412, 276, 257, 1556, 262, 10926, 325, 12188, 815, 1496, 329, 4141, 267, 562, 622, 267, 795, 659, 984, 6540, 1721, 3659, 538, 2828, 912, 825, 1820, 6600, 5987, 264, 0, 258, 256, 1315, 23591, 24800, 270, 7090, 454, 16482, 258, 519, 1739, 9060, 519, 3515, 609, 519, 454, 258, 1034, 29822, 14095, 1913, 689, 519, 2016, 1305, 454, 258, 692, 5035, 8564, 528, 263, 11764, 3405, 6500, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 16875, 1780, 692, 825, 1219, 17412, 29495, 2187, 1038, 12523, 815, 1582, 12500, 4265, 18045, 338, 29495, 994, 1038, 14191, 815, 1582, 6745, 652, 6958, 785, 318, 743, 657, 652, 29495, 267, 12523, 994, 1038, 1820, 263, 516, 1440, 263, 743, 657, 652, 4917, 1038, 2132, 14191, 692, 825, 1219, 1628, 18045, 338, 4311, 267, 1257, 2187, 1038, 554, 815, 31460, 1038, 585, 2262, 538, 1257, 21858, 10031, 17264, 530, 815, 2262, 14714, 8692, 14061, 12294, 4590, 17264, 952, 530, 912, 3546, 952, 530, 538, 554, 912, 4449, 567, 554, 314, 342, 316, 6834, 476, 272, 454, 3546, 3116, 912, 4449, 567, 554, 314, 342, 316, 815, 476, 272, 454, 1038, 2132, 554, 692, 825, 1219, 1265, 318, 743, 657, 652, 4311, 267, 1257, 267, 6074, 318, 6919, 267, 12523, 2187, 1038, 3515, 815, 1257, 21858, 28361, 333, 5073, 1038, 8464, 815, 31460, 1038, 585, 1775, 267, 1467, 538, 26246, 263, 6050, 2187, 2018, 11953, 318, 1467, 815, 1899, 14714, 8692, 4590, 2018, 13292, 815, 1496, 343, 31573, 3890, 585, 1535, 538, 11953, 318, 1467, 21858, 3488, 1412, 264, 952, 1535, 31573, 3890, 538, 6074, 318, 6919, 2639, 2018, 6474, 18045, 815, 7003, 263, 3901, 2583, 994, 2018, 8464, 5157, 316, 815, 6474, 18045, 454, 1038, 1820, 263, 516, 1440, 4433, 13990, 4917, 1038, 1104, 11346, 454, 1038, 15044, 5334, 13990, 815, 15044, 4433, 13990, 29096, 19572, 1883, 284, 28072, 269, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 994, 1038, 1820, 3488, 338, 9285, 5334, 13990, 8782, 266, 516, 1440, 4433, 9285, 5334, 13990, 4917, 1038, 10457, 815, 1496, 6050, 20572, 314, 271, 14963, 585, 1535, 538, 15044, 5334, 13990, 314, 271, 281, 274, 27663, 1038, 2132, 10457, 692, 825, 1219, 1449, 10734, 4265, 18045, 338, 4311, 267, 1257, 2187, 1038, 12523, 815, 1582, 12500, 4265, 18045, 338, 29495, 994, 1038, 1948, 2745, 263, 516, 1440, 6262, 870, 338, 4917, 1038, 2132, 12523, 7531, 825, 1219, 1449, 6958, 785, 318, 743, 657, 652, 4311, 267, 1257, 267, 12523, 2187, 1038, 1104, 11346, 454, 1038, 15044, 18045, 338, 815, 15044, 6262, 870, 338, 29096, 19572, 1883, 284, 28072, 269, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 994, 1038, 1820, 263, 516, 1440, 4433, 9285, 18045, 338, 4917, 1038, 6074, 318, 6919, 815, 1496, 343, 314, 271, 316, 585, 1535, 538, 15044, 18045, 338, 314, 271, 281, 274, 27663, 1038, 1820, 263, 516, 1440, 263, 577, 4923, 318, 6919, 4917, 1038, 14191, 815, 1582, 26098, 318, 743, 657, 652, 29495, 267, 6074, 318, 6919, 267, 12523, 994, 1038, 1820, 263, 516, 1440, 263, 743, 657, 652, 4917, 1038, 2132, 14191, 454, 0, 3698, 2196, 10031, 825, 1003, 3266, 815, 703, 9272, 2891, 28808, 516, 572, 1714, 512, 4821, 25123, 632, 3288, 30458, 679, 562, 14243, 1067, 334, 27328, 825, 30458, 17342, 6540, 825, 585, 1775, 538, 2039, 630, 11133, 3266, 2187, 1038, 30458, 6910, 17301, 9272, 2891, 28808, 516, 572, 1714, 3693, 334, 3143, 834, 266, 1193, 9217, 266, 272, 11924, 834, 632, 834, 1341, 1193, 16325, 3266, 11924, 834, 679, 2698, 834, 3738, 4917, 8931, 825, 30458, 31699, 4590, 825, 1820, 17338, 320, 994, 825, 1642, 30458, 454, 672, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2196, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 4250, 543, 7050, 4160, 563, 5278, 949, 1745, 513, 24516, 538, 741, 7181, 267, 723, 17570, 344, 27374, 267, 610, 1256, 1995, 1726, 3387, 1782, 269, 27275, 4160, 949, 1291, 547, 11784, 6285, 267, 6353, 676, 14556, 1881, 2168, 2589, 971, 607, 513, 11013, 532, 2295, 267, 26032, 540, 7362, 267, 543, 513, 2631, 540, 31587, 798, 558, 563, 4002, 519, 5626, 4395, 267, 4160, 666, 3142, 827, 10770, 543, 703, 28424, 4555, 267, 1419, 1644, 547, 513, 15779, 2680, 610, 31587, 12178, 269, 1937, 787, 543, 4250, 20441, 519, 2247, 267, 1818, 621, 4101, 547, 13404, 610, 1265, 8323, 689, 519, 29287, 2790, 24187, 563, 4322, 2790, 2589, 666, 15583, 622, 952, 2451, 796, 5417, 5962, 269, 1717, 267, 972, 616, 12003, 2994, 543, 5574, 2139, 547, 4383, 4160, 543, 666, 948, 2043, 2661, 513, 1732, 1272, 563, 26502, 31327, 547, 519, 744, 985, 564, 540, 17520, 454, 2304, 3806, 267, 513, 11342, 2790, 1072, 2783, 267, 666, 581, 15427, 676, 1585, 2188, 269, 4804, 827, 519, 5817, 3123, 568, 2629, 547, 2232, 713, 3390, 3927, 269, 1703, 616, 1079, 3119, 20334, 267, 11976, 543, 2825, 2188, 267, 799, 3310, 606, 1367, 779, 18687, 547, 4160, 563, 305, 1961, 540, 2637, 525, 454, 7049, 7497, 4249, 513, 2629, 1909, 538, 519, 12614, 540, 4160, 269, 7731, 1686, 666, 581, 513, 1713, 13525, 540, 835, 779, 13438, 547, 14221, 4606, 563, 2252, 606, 1367, 779, 2673, 14077, 723, 4810, 4160, 4713, 267, 789, 1522, 723, 513, 4719, 32739, 547, 971, 2175, 269, 16930, 6090, 666, 3310, 519, 7939, 540, 30088, 538, 519, 2634, 267, 18363, 606, 1367, 779, 7099, 543, 2566, 6114, 563, 20245, 2188, 849, 3648, 3565, 547, 4160, 269, 13262, 995, 1272, 2621, 267, 971, 607, 8194, 610, 12675, 4598, 547, 4101, 3871, 267, 666, 9594, 610, 22652, 4160, 4713, 563, 12234, 267, 2038, 6689, 2833, 543, 909, 32523, 666, 3337, 606, 1367, 779, 3210, 547, 21500, 269, 4400, 3613, 816, 5054, 267, 2436, 693, 1753, 267, 960, 267, 610, 1153, 267, 666, 1291, 547, 2799, 14221, 4606, 563, 16498, 1072, 568, 1776, 2825, 2460, 547, 2015, 269, 18648, 2168, 1072, 267, 5312, 10108, 267, 610, 6219, 6057, 666, 4463, 523, 13438, 547, 4160, 269, 17957, 267, 2834, 3635, 267, 513, 7059, 2732, 267, 543, 11009, 9066, 666, 948, 2569, 4160, 779, 1764, 593, 519, 2247, 543, 1560, 563, 20332, 3816, 12203, 1677, 1325, 4582, 5573, 17520, 454, 2304, 3806, 267, 513, 1455, 6161, 585, 1082, 267, 666, 1419, 581, 7307, 998, 1582, 25298, 543, 2067, 14319, 269, 2913, 779, 2263, 11005, 2553, 267, 16909, 29225, 267, 543, 824, 2067, 4485, 602, 666, 948, 8897, 14221, 4606, 543, 3895, 1134, 5630, 563, 3080, 540, 519, 1655, 2081, 547, 13468, 4160, 568, 676, 8026, 11005, 2553, 269, 22165, 3107, 5751, 267, 11009, 9066, 267, 543, 11636, 4887, 11005, 616, 2500, 2409, 269, 1452, 2241, 11005, 2853, 1491, 1175, 513, 1906, 3764, 513, 1554, 543, 1118, 513, 1713, 3017, 538, 4227, 2566, 543, 5009, 9350, 563, 2521, 532, 4173, 4472, 1855, 553, 454, 15463, 4472, 29225, 267, 1519, 32175, 610, 1130, 518, 1014, 3597, 267, 723, 1044, 1031, 585, 5553, 547, 14867, 4160, 269, 1452, 25695, 1786, 9749, 666, 581, 513, 4313, 532, 543, 2067, 16185, 585, 1346, 5275, 547, 8897, 14221, 4606, 269, 590, 6235, 513, 3636, 7484, 540, 16909, 7401, 693, 519, 1439, 540, 513, 1279, 1554, 666, 581, 519, 1655, 3364, 547, 7938, 785, 563, 4407, 2067, 14319, 666, 948, 4383, 4160, 267, 621, 779, 1898, 547, 1174, 519, 3123, 540, 707, 4160, 543, 20688, 707, 1935, 9935, 269, 12056, 538, 21363, 2238, 267, 6158, 547, 513, 3659, 267, 610, 3843, 1898, 11041, 899, 32175, 610, 18367, 4532, 1619, 538, 513, 886, 12528, 666, 849, 3565, 547, 513, 1608, 1067, 2247, 563, 32153, 9615, 585, 17520, 28057, 454, 32153, 2126, 585, 4160, 568, 1898, 585, 2043, 10010, 609, 713, 2790, 2783, 269, 1703, 616, 1896, 2157, 540, 1416, 267, 1142, 3358, 547, 519, 1367, 779, 1808, 2115, 543, 519, 10335, 540, 741, 4160, 269, 1452, 1331, 538, 18345, 11222, 267, 21911, 267, 543, 6646, 2359, 267, 782, 540, 799, 666, 581, 15747, 538, 3246, 2500, 4160, 5574, 563, 8867, 12069, 540, 5516, 454, 763, 2157, 540, 1416, 585, 4160, 2126, 4268, 547, 2232, 1114, 2157, 540, 10335, 269, 769, 18345, 11222, 568, 519, 1034, 14021, 4781, 267, 5356, 5180, 7308, 12641, 1442, 1416, 538, 513, 7463, 9744, 563, 2005, 568, 3335, 11603, 585, 2043, 609, 4049, 4160, 610, 1346, 693, 1981, 540, 1582, 3620, 1301, 269, 10815, 14021, 3681, 1331, 30229, 1416, 543, 3797, 267, 799, 666, 581, 3358, 547, 519, 1367, 779, 2115, 563, 20329, 8839, 267, 971, 607, 5042, 8965, 3797, 267, 568, 513, 3044, 543, 2500, 2126, 585, 4160, 269, 898, 3322, 513, 8400, 950, 513, 3461, 12909, 547, 513, 2790, 1072, 8502, 547, 1174, 543, 4383, 4160, 269, 901, 1826, 540, 2126, 1982, 2337, 2043, 1451, 12003, 2994, 267, 1305, 24276, 3853, 267, 543, 2232, 519, 5817, 3123, 540, 741, 4160, 563, 8469, 1709, 5004, 13979, 454, 8469, 1709, 2359, 568, 1776, 2565, 5057, 540, 4160, 2126, 269, 16195, 7426, 949, 21559, 513, 3099, 540, 1114, 2010, 540, 6646, 267, 971, 607, 9399, 305, 3674, 630, 572, 29193, 22515, 556, 340, 696, 820, 20127, 1070, 799, 616, 513, 1362, 540, 5061, 4122, 1031, 547, 1521, 4160, 563, 2005, 779, 1898, 547, 581, 3222, 540, 519, 1761, 2427, 2360, 540, 891, 6527, 267, 607, 789, 4268, 269, 29530, 1532, 6674, 619, 543, 22904, 17377, 32581, 1149, 616, 849, 1031, 538, 930, 2665, 547, 4383, 4160, 2589, 563, 2691, 1772, 519, 9406, 5384, 1677, 16418, 12333, 6435, 888, 32153, 948, 568, 1271, 950, 4160, 3587, 11566, 543, 5956, 547, 3648, 10556, 513, 1268, 779, 2702, 547, 1291, 513, 16180, 1272, 269, 10076, 1072, 4648, 616, 4966, 538, 1620, 543, 5466, 1585, 3029, 540, 4160, 267, 2766, 1681, 513, 2126, 1544, 547, 519, 1367, 779, 1808, 2115, 563, 2252, 4160, 26251, 607, 513, 1279, 3856, 2783, 267, 7679, 31013, 609, 3232, 8647, 267, 610, 14556, 5809, 936, 942, 267, 621, 779, 513, 2312, 5365, 547, 3343, 3318, 6351, 269, 5015, 267, 952, 513, 1268, 2833, 4049, 2589, 267, 814, 513, 1808, 1826, 540, 4160, 602, 3340, 7463, 2126, 267, 610, 9620, 609, 18596, 11784, 6285, 267, 17874, 513, 2790, 1072, 3318, 3587, 16122, 563, 4322, 4966, 1683, 513, 2922, 543, 11215, 2230, 585, 513, 6643, 1141, 2043, 666, 2263, 741, 32370, 267, 1451, 12003, 2994, 267, 543, 960, 2509, 513, 2619, 540, 6051, 269, 5213, 1406, 19292, 547, 3343, 3318, 948, 950, 4160, 12042, 619, 707, 3232, 1272, 543, 1134, 5630, 563, 21761, 18542, 5999, 630, 11902, 304, 994, 1692, 798, 596, 4308, 609, 4160, 543, 2566, 888, 2414, 4383, 4160, 543, 2566, 912, 268, 10812, 1585, 12003, 2994, 563, 268, 6657, 11005, 4485, 899, 2620, 7244, 267, 9066, 267, 610, 11636, 4887, 11005, 563, 268, 18918, 538, 2834, 2168, 2534, 267, 2226, 513, 2635, 267, 7059, 2732, 267, 543, 2327, 7850, 3207, 563, 13706, 5275, 3797, 610, 13508, 547, 2232, 5817, 2152, 269, 23423, 14933, 543, 4568, 6981, 267, 4225, 942, 585, 12348, 543, 1582, 13282, 267, 543, 1020, 513, 1489, 3060, 540, 2828, 610, 1920, 563, 1432, 616, 2500, 2081, 547, 4308, 609, 4160, 888, 19931, 2409, 585, 7829, 4160, 4125, 11009, 543, 2566, 5786, 2553, 269, 6657, 11009, 9066, 267, 27733, 5751, 267, 543, 30998, 547, 2769, 4606, 269, 2422, 5042, 15515, 24173, 2553, 547, 4161, 2942, 2219, 3270, 563, 15307, 28344, 513, 6296, 585, 3207, 267, 3635, 267, 543, 2635, 4189, 269, 10812, 11005, 2409, 899, 10649, 610, 512, 2967, 16584, 269, 16418, 3318, 5583, 543, 2015, 6646, 896, 513, 3782, 8502, 779, 15569, 563, 1692, 547, 1521, 20902, 4160, 888, 307, 11661, 20902, 4160, 3322, 513, 15491, 1935, 269, 31499, 267, 3226, 5042, 15515, 24173, 3797, 630, 30274, 1070, 666, 948, 4383, 14221, 4555, 543, 5615, 269, 589, 3782, 3318, 1522, 21559, 6527, 899, 9399, 305, 3674, 610, 19301, 305, 3674, 547, 13468, 2589, 563, 299, 604, 5598, 2242, 267, 1519, 20659, 3635, 267, 513, 7059, 2732, 267, 543, 7850, 3207, 267, 616, 1898, 269, 12056, 538, 2566, 5786, 2553, 267, 11009, 267, 543, 5275, 1514, 1489, 666, 9148, 2126, 585, 20902, 4160, 563, 21615, 15869, 10076, 25682, 693, 634, 670, 13273, 5489, 2135, 268, 6124, 4789, 454, 4263, 634, 670, 13273, 5489, 2135, 268, 6124, 4789, 267, 649, 1174, 519, 18447, 2591, 602, 2550, 609, 4160, 3068, 269, 3776, 3102, 2533, 616, 2966, 547, 1683, 519, 1489, 543, 1416, 2877, 585, 6051, 563, 2171, 2709, 513, 10821, 1982, 602, 2488, 513, 5150, 543, 17519, 4259, 585, 1346, 10010, 609, 4160, 269, 589, 7463, 2790, 1072, 2126, 9607, 519, 3597, 3123, 602, 6565, 713, 2783, 563, 1103, 1840, 547, 602, 267, 938, 12242, 26817, 1725, 2670, 2126, 568, 513, 2027, 1982, 585, 1346, 7231, 609, 8213, 543, 2790, 4576, 8195, 269, 1924, 267, 7227, 1100, 3476, 269, 6875, 519, 1101, 1900, 2509, 513, 1732, 2104, 5861, 2632, 716, 721, 2221, 693, 630, 279, 4510, 264, 476, 280, 3451, 268, 29300, 276, 547, 7832, 593, 707, 3460, 547, 9434, 865, 321, 686, 1214, 543, 1134, 5630, 563, 4131, 779, 1205, 596, 610, 513, 6068, 835, 948, 609, 513, 1906, 2241, 3268, 269, 0, 289, 3430, 3264, 686, 3264, 338, 4073, 3264, 337, 524, 3264, 961, 13093, 3264, 338, 267, 31128, 331, 3264, 551, 878, 6517, 267, 543, 1082, 824, 1083, 3264, 1399, 540, 15046, 326, 3264, 1206, 538, 2221, 779, 2486, 269, 1809, 267, 607, 938, 31128, 333, 1333, 332, 3264, 660, 531, 2042, 737, 3264, 3264, 335, 593, 20387, 267, 555, 3264, 678, 3264, 4944, 976, 7441, 3264, 12871, 540, 555, 3264, 338, 3264, 10599, 3264, 686, 3264, 338, 814, 536, 3264, 1260, 3264, 513, 2565, 543, 16718, 3264, 5360, 3264, 343, 1615, 340, 3264, 269, 769, 713, 2376, 267, 649, 786, 31128, 343, 680, 528, 3264, 555, 3264, 31128, 1087, 3264, 660, 658, 3344, 540, 6007, 12871, 543, 875, 519, 2817, 10055, 5358, 4249, 513, 1713, 1909, 538, 621, 563, 308, 526, 3264, 337, 9227, 23996, 2598, 27760, 454, 308, 526, 3264, 337, 9227, 10599, 3264, 787, 12871, 568, 31128, 1087, 3264, 660, 658, 585, 31128, 333, 1333, 332, 3264, 660, 531, 6940, 269, 1411, 917, 267, 10599, 3264, 686, 3264, 338, 267, 555, 3264, 344, 685, 341, 3264, 2270, 3264, 323, 5739, 2655, 4545, 3264, 338, 1202, 573, 3264, 267, 6010, 3264, 561, 3264, 611, 267, 20017, 26606, 267, 543, 544, 3264, 21683, 1722, 1107, 711, 31128, 343, 18075, 555, 3264, 2003, 3264, 526, 2993, 3264, 560, 2499, 3264, 660, 338, 269, 590, 3264, 341, 3264, 1537, 6082, 723, 31128, 560, 28344, 3264, 323, 678, 3264, 326, 2827, 543, 678, 3264, 19464, 11634, 3264, 332, 3264, 338, 547, 8396, 713, 3390, 269, 681, 3264, 4944, 976, 7441, 3264, 12871, 1594, 341, 3264, 338, 31128, 603, 3264, 337, 678, 3264, 19464, 10599, 3264, 686, 3264, 338, 610, 546, 3264, 331, 643, 3264, 2590, 555, 3264, 332, 547, 546, 3264, 338, 793, 520, 3264, 323, 2458, 3264, 794, 2798, 547, 929, 3264, 341, 3264, 660, 3037, 543, 5349, 3264, 337, 12526, 543, 678, 3264, 3027, 3264, 555, 3264, 1981, 540, 535, 597, 3264, 338, 1757, 3264, 323, 676, 2481, 698, 3264, 323, 10599, 3264, 686, 3264, 338, 269, 1635, 1739, 555, 3264, 338, 3264, 3261, 520, 3264, 12871, 544, 3264, 628, 16104, 267, 649, 666, 798, 938, 851, 538, 1818, 555, 3264, 1544, 3264, 339, 804, 3264, 534, 3264, 337, 543, 1760, 3264, 337, 563, 1320, 3264, 31128, 333, 1333, 332, 3264, 660, 531, 8177, 454, 1320, 3264, 1651, 22741, 3264, 551, 12871, 540, 10599, 3264, 686, 3264, 338, 666, 561, 3264, 611, 547, 3037, 543, 5349, 3264, 337, 5533, 269, 24768, 1319, 3264, 7434, 338, 971, 607, 561, 3264, 611, 267, 544, 3264, 21683, 1722, 267, 543, 20017, 26606, 949, 22467, 7806, 3264, 555, 3264, 31128, 14390, 267, 3542, 5024, 938, 5349, 3264, 337, 11877, 322, 3264, 338, 543, 31128, 526, 836, 3264, 2590, 3552, 331, 604, 3264, 269, 898, 779, 31128, 1087, 3264, 660, 658, 547, 8741, 3264, 540, 10599, 3264, 686, 3264, 338, 678, 3264, 4944, 976, 4601, 547, 7339, 520, 3264, 555, 3264, 338, 3264, 31128, 333, 1333, 332, 3264, 660, 531, 4220, 563, 6624, 2477, 723, 8045, 7453, 6042, 3823, 10599, 3264, 787, 12871, 547, 2232, 713, 3390, 269, 634, 2817, 10055, 5358 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 519, 1482, 1569, 547, 782, 3255, 8726, 741, 3604, 269, 634, 2920, 849, 2488, 4027, 585, 2043, 945, 1995, 7130, 676, 7681, 609, 2576, 945, 814, 513, 6870, 8984, 563, 1432, 1281, 2696, 2161, 827, 4763, 888, 18661, 11414, 721, 538, 10513, 23075, 602, 519, 1480, 5198, 568, 835, 269, 1306, 6754, 840, 3737, 547, 519, 23723, 1014, 15806, 267, 968, 5804, 835, 812, 2696, 1500, 1169, 4182, 540, 519, 1480, 5198, 267, 602, 789, 1058, 9468, 519, 2898, 3618, 892, 630, 8002, 338, 476, 1704, 281, 2918, 1040, 898, 568, 1369, 713, 3152, 2796, 540, 9322, 602, 8103, 779, 4763, 1318, 569, 5526, 563, 1432, 568, 4763, 543, 922, 2956, 888, 291, 1751, 6770, 538, 1007, 2093, 543, 2833, 267, 543, 1004, 666, 1451, 689, 1142, 824, 269, 20780, 532, 538, 1114, 2093, 543, 5380, 5012, 547, 1732, 1966, 9010, 269, 11554, 538, 3309, 6887, 10741, 5188, 543, 8992, 5876, 269, 634, 1871, 540, 4763, 568, 3020, 585, 938, 2528, 267, 1932, 563, 1692, 798, 596, 1397, 2463, 547, 4763, 888, 26239, 18462, 281, 2171, 782, 723, 12886, 269, 2560, 5192, 547, 917, 2576, 1114, 982, 596, 269, 2560, 12833, 924, 3403, 689, 1866, 609, 1114, 10080, 269, 2560, 20780, 1927, 3309, 2516, 585, 5647, 269, 2560, 21727, 3909, 14812, 269, 2560, 4855, 2576, 609, 513, 1114, 4282, 945, 8843, 519, 1482, 2754, 3804, 609, 596, 543, 2054, 1125, 609, 873, 21457, 3688, 2507, 31220, 1432, 1281, 4763, 1611, 888, 291, 1751, 1797, 2348, 513, 2039, 540, 1004, 609, 1585, 7292, 267, 6803, 267, 14227, 267, 543, 2686, 10080, 543, 1585, 19824, 267, 1995, 267, 543, 4690, 269, 11109, 513, 3099, 540, 2043, 543, 2798, 540, 2070, 6719, 538, 519, 8257, 269, 16844, 568, 513, 1895, 540, 1004, 945, 616, 1114, 538, 519, 1482, 1747, 563, 1432, 568, 2463, 585, 4763, 538, 519, 9036, 888, 288, 3309, 9036, 568, 835, 609, 513, 2528, 1759, 593, 22371, 267, 19969, 543, 8994, 2463, 602, 2488, 5520, 609, 513, 2922, 543, 2635, 960, 1604, 1863, 689, 782, 3029, 540, 7130, 269, 16844, 568, 606, 2804, 10862, 543, 3656, 17185, 538, 1870, 269, 6693, 1432, 568, 16844, 2110, 2626, 888, 2005, 1797, 1620, 602, 1142, 1367, 568, 2189, 267, 543, 9301, 938, 1367, 3604, 269, 1452, 666, 581, 2059, 519, 7516, 540, 5198, 267, 14940, 267, 4008, 267, 4638, 10066, 267, 8739, 20300, 4567, 267, 2085, 267, 2168, 5759, 267, 3909, 4978, 267, 2797, 4978, 267, 610, 824, 19237, 269, 0, 6624, 540, 519, 968, 557, 1146, 892, 2472, 593, 519, 2344, 2270, 3810, 9268, 5820, 610, 4430, 2157, 540, 4006, 543, 543, 9770, 267, 5760, 531, 322, 5414, 330, 3081, 269, 2560, 15733, 968, 7474, 2270, 513, 2603, 540, 29089, 2510, 616, 1034, 2693, 616, 1970, 538, 1169, 824, 8770, 1654, 7540, 991, 630, 2889, 12888, 267, 6171, 645, 1321, 267, 6886, 899, 4401, 267, 3092, 13776, 892, 3081, 5760, 531, 322, 5414, 330, 563, 6701, 17154, 2472, 2407, 540, 6464, 888, 5445, 2161, 6464, 1031, 538, 17154, 9268, 2472, 666, 849, 581, 1336, 538, 3595, 268, 2169, 3907, 5109, 7135, 267, 561, 1314, 2510, 543, 13851, 269, 645, 9007, 1767, 281, 968, 2467, 616, 811, 540, 891, 21187, 538, 891, 2472, 982, 596, 1131, 7363, 1265, 538, 6671, 9268, 3536, 563, 1432, 6464, 616, 538, 17154, 1426, 888, 276, 11906, 338, 700, 584, 6362, 538, 7233, 15369, 2725, 1846, 454, 268, 570, 21033, 855, 2643, 5139, 549, 23936, 821, 269, 19505, 295, 304, 568, 513, 10991, 29089, 894, 602, 11151, 32396, 538, 9268, 3536, 269, 6693, 268, 13804, 10901, 19941, 269, 5457, 950, 930, 3694, 729, 15034, 540, 2348, 513, 10649, 1319, 3114, 286, 6693, 268, 661, 787, 628, 27343, 630, 16446, 1948, 274, 1040, 4414, 1948, 274, 568, 606, 5841, 1426, 7801, 269, 6693, 268, 11330, 22005, 28340, 269, 6693, 268, 12113, 878, 9647, 2684, 24043, 563, 1432, 568, 3983, 827, 17154, 1426, 888, 309, 1122, 534, 29380, 525, 1500, 856, 540, 10808, 267, 5452, 610, 11273, 19787, 616, 2356, 3833, 14312, 269, 1717, 519, 3283, 602, 616, 8185, 9268, 543, 1500, 856, 540, 15568, 11041, 971, 607, 17310, 3282, 723, 5393, 1164, 2157, 540, 15459, 9600, 267, 1256, 2362, 982, 3662, 9600, 269, 901, 1164, 1377, 666, 1291, 547, 1164, 8501, 563, 6701, 17154, 3536, 3810, 9268, 888, 763, 12146, 1592, 540, 891, 17154, 1426, 3688, 11148, 547, 581, 3476, 630, 328, 4318, 269, 811, 9268, 264, 982, 519, 3662, 2861, 4528, 267, 855, 711, 1454, 865, 269, 4107, 3662, 2861, 3536, 616, 16271, 547, 2147, 5666, 540, 4393, 547, 3035, 519, 5551, 1587, 563, 1432, 568, 519, 1072, 5006, 17154, 5779, 888, 763, 476, 1015, 7454, 29133, 15240, 13699, 585, 17164, 4115, 543, 12098, 534, 2598, 1127, 454, 268, 476, 272, 10793, 26258, 269, 3938, 17940, 540, 8835, 269, 6693, 268, 476, 273, 1677, 14673, 269, 3938, 17940, 540, 27010, 269, 6693, 268, 476, 274, 7843, 701, 327, 269, 3938, 17940, 540, 27010, 269, 6693, 268, 476, 275, 30766, 2812, 269, 3938, 17940, 540, 8835, 269, 6693, 268, 476, 276, 1530, 11939, 269, 3938, 17940, 540, 2382, 659, 691, 269, 6693, 268, 476, 277, 2052, 2740, 4563, 2142, 753, 269, 3938, 17940, 540, 9546, 27926, 269, 6693, 268, 476, 279, 19529, 701, 553, 610, 12275, 3316, 15605, 2142, 753, 269, 3938, 17940, 540, 8835, 269, 6693, 268, 476, 280, 7233, 15369, 590, 9476, 1137, 563, 3963, 568, 17154, 5779, 3983, 585, 596, 888, 9288, 520, 3335, 3568, 1164, 2157, 540, 15459, 543, 1098, 9600, 267, 799, 666, 6318, 1973, 8501, 269, 12098, 534, 3536, 267, 1519, 2030, 2861, 5779, 267, 2270, 1100, 8192, 8501, 282, 8192, 8501, 1152, 6818, 538, 3662, 2861, 3536, 269, 2560, 14856, 1932, 1454, 3662, 3940, 1223, 1291, 547, 1072, 2152, 899, 3987, 563, 1432, 5820, 547, 2057, 585, 1654, 7540, 888, 8266, 540, 23123, 2334, 3657, 10691, 12098, 534, 454, 268, 700, 12519, 18729, 563, 268, 3213, 577, 710, 531, 610, 1286, 332, 710, 563, 3674, 17154, 10381, 3983, 585, 596, 888, 4415, 1100, 15910, 8328, 3662, 5946, 267, 2208, 10399, 543, 15459, 3662, 3170, 267, 17154, 10381, 568, 513, 2922, 543, 2635, 4781, 269, 1411, 666, 849, 2015, 4466, 14546, 543, 7657, 1681, 267, 899, 9422, 13803, 267, 602, 1522, 948, 1039, 930, 29380, 344, 8137, 2523, 952, 596, 616, 10709, 532, 547, 513, 811, 2898, 32103, 2030, 2861, 2732, 563, 3963, 568, 31949, 3983, 585, 596, 888, 12024, 1034, 2030, 3536, 267, 31949, 3568, 1896, 1884, 514, 19153, 269, 1452, 1331, 281, 8347, 1186, 514, 20127, 281, 1452, 7135, 3625, 2119, 1186, 514, 267, 606, 11747, 2877, 547, 5265, 7558, 3940, 269, 24695, 339, 919, 281, 24695, 339, 919, 666, 2569, 519, 10338, 540, 6886, 267, 971, 607, 7513, 267, 13058, 267, 543, 4401, 563, 1692, 798, 1654, 7540, 1205, 645, 1321, 888, 763, 1152, 6325, 17154, 2959, 540, 645, 1321, 616, 3536, 25167, 609, 645, 1321, 630, 10175, 930, 2030, 2113, 802, 267, 930, 13386, 2472, 543, 930, 14254, 24799, 264, 543, 645, 1321, 9360, 267, 971, 607, 938, 1360, 1378, 966, 9680, 476, 272, 269, 12192, 645, 1321, 267, 2436, 538, 9360, 267, 25167, 3536, 267, 610, 3662, 2472, 267, 2501, 689, 2890, 268, 13060, 563, 2710, 1654, 7540, 2661, 3476, 888, 2691, 9674, 689, 519, 1964, 267, 1654, 7540, 1185, 513, 476, 1428, 260, 2539, 1981, 540, 12955, 16349, 569, 689, 782, 3123, 267, 10834, 602, 513, 17154, 2732, 949, 8197, 948, 1004, 2661, 3476, 982, 1346, 945, 15666, 547, 20757, 610, 9631, 16622, 5387, 4189, 3270, 630, 476, 276, 30155, 1432, 4523, 547, 707, 1560, 950, 596, 979, 17154, 888, 5475, 513, 1906, 3275, 267, 513, 1134, 28394, 2331, 17154, 2732, 799, 568, 1970, 538, 6070, 543, 9268, 1426, 949, 948, 2061, 2295, 2068, 267, 8482, 543, 2569, 1981, 540, 3987, 269, 1306, 519, 6981, 540, 5567, 899, 4401, 267, 13058, 543, 7513, 616, 4389, 593, 513, 17154, 2732, 267, 938, 4703, 1205, 1732, 693, 21716, 873, 689, 519, 16892, 563, 3674, 31949, 513, 9268, 1426, 888, 31088, 539, 3536, 281, 1879, 5820, 971, 607, 3282, 267, 4006, 610, 6070, 616, 3773, 547, 3536, 543, 789, 616, 26437, 267, 519, 1267, 568, 9268, 3536, 269, 6201, 616, 2241, 3694, 267, 10381, 267, 31949, 267, 543, 27574, 27966, 610, 10365, 269, 1452, 3536, 723, 1044, 12012, 267, 855, 711, 538, 513, 1259, 602, 779, 17672, 547, 1072, 563, 7617, 3728, 1426, 568, 17154, 888, 268, 2349, 10270, 623, 14040, 269, 5637, 2349, 10270, 779, 2834, 14859, 543, 15347, 6954, 14859, 616, 17154, 267, 543, 789, 723, 7899, 540, 19787, 267, 27156, 267, 543, 1256, 17154, 10381, 543, 17154, 25970, 32711, 714, 334, 547, 1283, 621, 1055, 269, 6693, 268, 8738, 3455, 3751, 269, 6693, 268, 14161, 779, 12789, 269, 6693, 268, 932, 760, 13444, 269, 6693, 268, 667, 8543, 10348, 269, 6693, 268, 5548, 570, 23147, 269, 6693, 268, 12358, 3626, 779, 269, 6693, 6701, 4258, 564, 657, 17154, 888, 10267, 564, 657, 616, 711, 20757, 267, 1317, 789, 946, 3662, 23402, 15646, 6339, 538, 519, 10381, 269, 2560, 634, 2754, 2829, 602, 789, 946, 3662, 11476, 538, 741, 10381, 267, 865, 519, 1587, 568, 711, 20757, 269, 634, 1434, 3377, 568, 602, 789, 798, 1118, 7899, 540, 17154, 16152, 596, 666, 3442, 689, 267, 1519, 741, 5929, 13365, 267, 678, 4428, 956, 267, 535, 761, 657, 267, 3092, 269, 0, 1607, 2985, 568, 2966, 547, 948, 596, 1265, 1018, 596, 991, 593, 713, 3896, 269, 6056, 540, 621, 607, 513, 3135, 4786, 610, 3349, 540, 9115, 585, 519, 10789, 476, 272, 6712, 540, 713, 3896, 269, 1215, 547, 6258, 10789, 630, 5976, 24436, 264, 910, 15825, 9947, 476, 1556, 267, 476, 1001, 280, 3267, 9105, 707, 4116, 547, 948, 596, 1174, 16602, 7223, 3584, 269, 1403, 596, 2811, 2348, 513, 2182, 942, 3478, 519, 13793, 540, 7223, 267, 1810, 1405, 5855, 2443, 596, 1810, 1405, 3267, 17949, 5131, 10789, 6435, 4653, 256, 910, 5530, 2983, 2131, 13028, 875, 1863, 7223, 6780, 948, 666, 948, 596, 1831, 811, 8746, 538, 7223, 269, 1284, 723, 1044, 7674, 1053, 585, 1279, 543, 723, 2907, 5280, 3267, 10789, 27678, 585, 4400, 3427, 4569, 6435, 910, 4569, 6435, 6732, 676, 4429, 15697, 4569, 9046, 3752, 591, 910, 6657, 267, 18873, 267, 17072, 270, 10403, 6435, 454, 306, 20166, 2529, 269, 4569, 910, 10789, 20509, 532, 269, 590, 20166, 2529, 269, 4569, 593, 7131, 22312, 256, 8307, 1269, 866, 269, 4817, 269, 3718, 585, 7193, 338, 267, 5839, 338, 543, 12380, 269, 7734, 1284, 6145, 4569, 6435, 281, 4569, 16610, 267, 10632, 267, 13658, 8240, 543, 3211, 4569, 16610, 267, 9669, 267, 10632, 543, 3211, 585, 18827, 267, 12408, 267, 8691, 267, 3328, 267, 6498, 267, 7223, 267, 10815, 982, 3152, 982, 267, 4569, 960, 9212, 585, 9251, 547, 476, 276, 628, 3446, 454, 3721, 8386, 28157, 4569, 9046, 3752, 591, 454, 8340, 5363, 2979, 4245, 267, 3756, 267, 26732, 267, 543, 811, 269, 5192, 2979, 948, 538, 7223, 267, 9511, 267, 4645, 267, 11810, 267, 610, 1945, 3116, 269, 9578, 5026, 267, 2724, 267, 543, 4365, 2979, 3267, 10789, 18185, 910, 4569, 303, 23981, 10789, 18185, 568, 513, 9498, 602, 3947, 1900, 8386, 9912, 948, 593, 7223, 2042, 269, 6423, 2859, 6201, 9732, 1535, 266, 274, 284, 276, 269, 476, 272, 270, 274, 1341, 476, 272, 270, 275, 269, 586, 24210, 317, 273, 266, 272, 269, 2598, 25068, 281, 901, 9498, 568, 711, 3501, 269, 7490, 946, 693, 707, 1378, 1981, 267, 543, 5225, 10332, 721, 952, 1945, 3884, 1405, 2324, 269, 11289, 596, 269, 1215, 547, 2422, 519, 18185, 3267, 10789, 6435, 910, 5131, 4569, 6435, 454, 257, 5591, 9539, 976, 1619, 10789, 281, 3487, 540, 519, 29923, 12708, 4569, 10341, 10022, 257, 568, 585, 596, 952, 596, 616, 7680, 7411, 609, 15821, 2035, 269, 589, 1900, 8386, 9912, 1935, 609, 2312, 543, 13801, 5528, 602, 568, 2386, 547, 948, 1256, 519, 1034, 14221, 2979, 2875, 563, 298, 7315, 9142, 568, 513, 18758, 609, 519, 5692, 540, 3246, 513, 1863, 267, 1158, 11665, 2069, 585, 4896, 267, 9170, 269, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 10789, 910, 5680, 13043, 6435, 2060, 2659, 4569, 14581, 269, 16731, 15328, 1889, 334, 585, 3137, 543, 948, 609, 707, 6780, 2042, 256, 5851, 269, 4569, 585, 15526, 269, 4937, 4569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2005, 729, 896, 519, 14890, 31217, 630, 2767, 7460, 547, 476, 1691, 5084, 264, 602, 14295, 698, 6511, 267, 1287, 1572, 2961, 628, 6210, 25429, 267, 3459, 547, 3035, 922, 6574, 26672, 712, 267, 5310, 540, 782, 2053, 269, 14066, 2338, 540, 9635, 689, 519, 9456, 11335, 8452, 543, 1007, 9897, 7471, 519, 2749, 609, 519, 9703, 543, 519, 7276, 811, 3622, 563, 28899, 1007, 1857, 5656, 941, 25517, 1107, 31725, 267, 519, 18041, 30965, 11128, 267, 519, 16222, 267, 519, 11454, 540, 31217, 267, 519, 8468, 267, 17633, 593, 519, 15113, 267, 13123, 543, 22541, 2749, 6821, 269, 29828, 720, 1949, 941, 9112, 543, 1216, 538, 1291, 12992, 4682, 547, 519, 8075, 540, 519, 1034, 14547, 269, 634, 1390, 16222, 1223, 13918, 5310, 476, 277, 547, 476, 10384, 271, 4715, 2209, 543, 18041, 30965, 11128, 930, 476, 1556, 267, 1822, 269, 634, 2749, 607, 513, 2898, 9450, 883, 5892, 796, 31039, 2127, 543, 267, 1247, 621, 568, 7543, 547, 917, 922, 2551, 693, 713, 942, 267, 513, 4137, 540, 1472, 476, 1789, 267, 1822, 814, 1044, 6700, 269, 8048, 267, 8988, 267, 1965, 4820, 334, 630, 1721, 17189, 543, 19135, 3096, 1070, 2892, 1540, 3165, 543, 3165, 14036, 630, 3258, 636, 264, 607, 1134, 607, 9174, 267, 3282, 543, 1082, 6694, 2472, 782, 1336, 741, 1259, 998, 519, 2823, 679, 8905, 547, 7507, 543, 824, 4025, 538, 519, 7276, 269, 670, 11817, 540, 519, 3638, 1131, 723, 1630, 16556, 13556, 9597, 1023, 267, 19821, 923, 267, 543, 18810, 269, 24296, 584, 29418, 267, 621, 5526, 602, 1472, 1614, 6709, 11467, 540, 519, 4936, 18810, 11552, 691, 1117, 538, 14295, 698, 6511, 2097, 689, 713, 7415, 1974, 540, 519, 476, 272, 560, 11416, 5084, 563, 9213, 267, 519, 3788, 540, 713, 26672, 573, 1974, 32736, 538, 14295, 698, 6511, 269, 1280, 721, 267, 835, 540, 519, 1034, 4277, 543, 859, 25607, 4609, 267, 2705, 267, 568, 602, 540, 519, 1858, 540, 519, 4936, 17072, 267, 519, 8229, 8998, 540, 4936, 2797, 267, 5010, 543, 2686, 1272, 269, 901, 729, 4092, 676, 519, 1459, 1554, 1773, 18054, 632, 5842, 12770, 543, 1131, 723, 1044, 11303, 676, 1082, 1271, 5656, 269, 634, 1471, 3386, 1858, 540, 519, 17072, 10588, 729, 1152, 14155, 730, 538, 476, 1220, 279, 268, 6021, 543, 568, 1869, 267, 547, 930, 6708, 267, 513, 960, 538, 3356, 269, 3143, 8969, 972, 786, 581, 2242, 543, 267, 23248, 267, 23937, 547, 1018, 666, 581, 2938, 538, 519, 1296, 547, 2097, 269, 1717, 267, 950, 649, 10272, 519, 1858, 630, 18907, 476, 1001, 274, 264, 519, 1292, 3788, 1185, 1044, 4988, 676, 513, 5458, 267, 2413, 2065, 8122, 267, 8108, 851, 540, 519, 1007, 16329, 1670, 5244, 540, 519, 20703, 6839, 324, 269, 634, 1804, 1858, 799, 814, 1044, 8118, 909, 547, 8436, 630, 11004, 568, 513, 1507, 13675, 5279, 264, 24428, 519, 8143, 8602, 1950, 630, 514, 946, 1063, 519, 476, 272, 560, 543, 476, 274, 6113, 5553, 5084, 1070, 1519, 513, 3935, 333, 12184, 1330, 1399, 731, 267, 543, 519, 693, 8922, 2679, 1454, 540, 799, 3357, 547, 581, 1031, 585, 3909, 7333, 638, 1115, 269, 898, 729, 1930, 689, 476, 1015, 600, 547, 476, 278, 10975, 689, 570, 1132, 17058, 547, 9530, 904, 267, 7132, 631, 1180, 904, 538, 5181, 563, 2791, 4283, 519, 1858, 998, 513, 1360, 4207, 5835, 543, 3039, 968, 325, 775, 892, 609, 519, 1858, 540, 519, 4936, 645, 23411, 5612, 7298, 607, 596, 3802, 538, 267, 1175, 547, 707, 1318, 269, 589, 3308, 4159, 22281, 539, 519, 1585, 3688, 1336, 1282, 519, 14155, 725, 607, 649, 15336, 1472, 519, 11308, 3802, 3118, 4478, 519, 14155, 730, 1858, 269, 1703, 568, 849, 513, 4159, 799, 3877, 519, 11768, 540, 519, 31725, 799, 8659, 519, 8912, 2837, 28439, 11623, 269, 1411, 666, 1287, 13956, 547, 519, 1377, 540, 519, 14155, 730, 3788, 543, 3802, 998, 873, 269, 634, 7187, 3774, 267, 3710, 538, 519, 476, 272, 560, 11416, 5084, 6039, 607, 513, 1768, 15869, 1489, 2429, 7766, 5553, 543, 972, 568, 1869, 519, 1569, 3710, 883, 621, 547, 513, 12062, 9112, 1472, 476, 4350, 278, 607, 513, 4027, 1996, 26645, 986, 1749, 1282, 519, 5053, 6406, 2782, 563, 763, 7187, 851, 540, 519, 3935, 333, 12184, 1858, 729, 6806, 1055, 538, 519, 476, 273, 526, 11416, 5084, 267, 12270, 621, 883, 1079, 11623, 269, 2290, 540, 891, 1869, 10741, 593, 547, 519, 31725, 1247, 519, 824, 729, 5828, 883, 513, 512, 11232, 333, 799, 1131, 4196, 1426, 543, 3905, 10425, 269, 11153, 9587, 540, 519, 3312, 3935, 333, 1228, 941, 11368, 538, 519, 512, 11232, 333, 267, 519, 3788, 540, 799, 616, 3833, 2312, 269, 1411, 666, 1294, 519, 838, 20160, 10051, 543, 519, 3723, 902, 540, 519, 3046, 585, 7674, 1426, 543, 4235, 269, 634, 3935, 333, 12184, 2062, 322, 22620, 3294, 630, 1492, 829, 626, 1803, 1070, 3710, 1985, 547, 519, 31725, 538, 519, 476, 272, 560, 11416, 5084, 267, 1131, 723, 2016, 1569, 547, 602, 9744, 607, 1134, 607, 7674, 607, 513, 5870, 1747, 269, 898, 15538, 540, 513, 3844, 21490, 2230, 609, 513, 1200, 2590, 14752, 15839, 4806, 1634, 607, 1566, 639, 838, 545, 23628, 267, 1166, 1678, 539, 676, 2185, 3935, 333, 3547, 563, 5475, 2469, 1394, 2059, 519, 15672, 3802, 3118, 267, 649, 941, 2111, 547, 13956, 547, 1776, 851, 540, 519, 1950, 540, 5656, 1107, 519, 2311, 8922, 269, 2311, 519, 2484, 1439, 540, 519, 2311, 8922, 568, 519, 968, 338, 8403, 632, 1381, 334, 5608, 610, 968, 3250, 320, 5608, 513, 4055, 1031, 585, 3909, 5301, 538, 519, 476, 273, 526, 11416, 5084, 269, 898, 729, 9674, 689, 519, 2311, 8922, 676, 513, 3774, 267, 799, 24428, 606, 26749, 593, 519, 2311, 8922, 2427, 543, 1185, 10367, 593, 621, 267, 2694, 540, 799, 723, 15068, 269, 1306, 596, 1413, 4724, 519, 26749, 689, 519, 3802, 3118, 267, 596, 1205, 606, 5140, 2070, 540, 519, 2311, 8922, 1927, 609, 513, 24467, 16935, 543, 1134, 269, 634, 1344, 8440, 2303, 602, 519, 2311, 8922, 949, 1134, 723, 1044, 519, 10160, 540, 513, 3909, 3919, 799, 4371, 9161, 7333, 638, 1115, 538, 22632, 540, 10971, 267, 4440, 540, 9456, 5169, 269, 12344, 711, 19599, 267, 4061, 267, 519, 824, 11623, 593, 713, 1377, 616, 519, 7333, 638, 7566, 11623, 267, 1142, 540, 799, 1223, 13918, 476, 1015, 268, 1321, 1004, 585, 513, 7594, 267, 5259, 2511, 1107, 538, 824, 1913, 267, 556, 743, 1456, 593, 4172, 2583, 630, 339, 878, 4802, 807, 264, 3710, 1996, 519, 3774, 269, 1452, 941, 15600, 689, 519, 1330, 1399, 731, 269, 769, 835, 540, 519, 7333, 638, 7566, 11623, 649, 941, 2111, 547, 1294, 513, 17005, 544, 1116, 11320, 718, 7206, 269, 2561, 30068, 267, 538, 519, 1101, 3368, 540, 519, 476, 273, 526, 11416, 5084, 267, 1034, 540, 519, 1292, 11623, 941, 1201, 7875, 1639, 609, 1007, 9597, 1023, 3773, 269, 634, 2199, 2046, 4080, 538, 4873, 476, 1001, 274, 602, 1614, 3774, 6810, 540, 9597, 1023, 1185, 1044, 5402, 17468, 543, 941, 1373, 2322, 1394, 267, 1141, 2009, 267, 538, 741, 3312, 7158, 538, 519, 2311, 8922, 2679, 547, 581, 593, 4159, 676, 519, 1439, 540, 5147, 476, 1001, 274, 269, 634, 2311, 8922, 1950, 1131, 849, 723, 1185, 3028, 11623, 543, 4440, 512, 11232, 985, 543, 1185, 1079, 19683, 269, 634, 2034, 6989, 729, 6603, 676, 513, 25047, 13826, 689, 519, 1330, 1399, 731, 269, 898, 4667, 602, 519, 2679, 4957, 1599, 538, 519, 476, 274, 6113, 11416, 5084, 267, 1373, 5258, 883, 1896, 8075, 855, 609, 1569, 1869, 689, 519, 2311, 8922, 563, 763, 8468, 8664, 267, 2705, 267, 4718, 7771, 899, 519, 1964, 540, 14295, 698, 6511, 538, 2663, 1296, 269, 589, 3595, 538, 519, 476, 274, 6113, 11416, 5084, 4299, 930, 540, 519, 5656, 269, 1703, 729, 849, 513, 811, 2489, 7771, 538, 519, 2749, 689, 519, 4571, 268, 273, 526, 11416, 547, 519, 1439, 540, 519, 476, 275, 628, 11416, 609, 513, 5786, 538, 519, 2551, 267, 519, 10205, 618, 540, 930, 1857, 5656, 543, 519, 556, 14025, 540, 2326, 689, 4540, 25481, 267, 865, 602, 267, 1256, 950, 10151, 6051, 3357, 267, 519, 2749, 729, 4130, 543, 25013, 982, 538, 519, 32219, 4864, 15687, 5736, 269, 13518, 2663, 267, 519, 2898, 1858, 729, 519, 4087, 540, 513, 29245, 8664, 540, 14295, 698, 6511, 689, 519, 476, 1240, 628, 547, 476, 736, 628, 2578, 3753, 267, 1354, 1082, 540, 519, 811, 2413, 5656, 941, 23542, 1639, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 267, 5555, 6679, 909, 519, 1858, 547, 15456, 7634, 267, 519, 6909, 2164, 540, 799, 649, 616, 4098, 547, 1294, 2221, 563, 20684, 676, 1849, 633, 543, 14472, 773, 6022, 1067, 945, 723, 2854, 1896, 3391, 2835, 593, 10034, 543, 4525, 538, 12653, 25556, 269, 1452, 666, 581, 2938, 693, 543, 5833, 689, 267, 8940, 7456, 21343, 2593, 267, 610, 3346, 4757, 11333, 2593, 269, 1849, 633, 543, 14472, 773, 779, 1433, 267, 968, 18698, 12653, 25556, 267, 17963, 4934, 892, 568, 1631, 2139, 547, 4444, 689, 519, 8863, 300, 14727, 739, 320, 595, 5451, 331, 5866, 20048, 1834, 5604, 593, 6682, 1842, 565, 645, 267, 7454, 654, 8460, 630, 15367, 849, 6006, 824, 540, 741, 2835, 1519, 519, 1246, 5346, 968, 18698, 12653, 25556, 267, 2859, 17963, 4934, 25257, 610, 6049, 623, 3430, 328, 593, 476, 280, 6924, 476, 275, 3451, 476, 7818, 269, 0, 1432, 616, 519, 1283, 2185, 10898, 888, 763, 11036, 1463, 338, 13013, 11190, 10220, 10492, 547, 13404, 267, 1247, 3257, 24422, 267, 593, 519, 2185, 4070, 10898, 630, 17517, 267, 13351, 676, 267, 9575, 538, 11486, 15277, 267, 543, 5122, 8710, 264, 602, 2272, 585, 519, 1034, 28896, 543, 3978, 7063, 563, 1432, 568, 519, 2185, 9651, 888, 763, 674, 7614, 9050, 18171, 1841, 2874, 540, 8813, 267, 5122, 4598, 267, 13351, 8386, 543, 9575, 2987, 11486, 15277, 3871, 267, 543, 1267, 538, 476, 276, 3393, 11832, 28896, 538, 519, 2136, 2276, 1169, 1032, 269, 22484, 616, 519, 1297, 835, 20740, 540, 4070, 4600, 593, 519, 2816, 563, 1432, 616, 519, 13013, 11190, 10312, 9050, 10898, 799, 835, 540, 519, 10312, 9050, 568, 519, 1034, 4161, 762, 543, 1946, 888, 763, 27706, 8881, 543, 2657, 10029, 630, 5308, 11190, 264, 7125, 519, 3056, 3123, 540, 11832, 7972, 593, 4070, 4609, 922, 10312, 9050, 281, 8813, 267, 6850, 322, 1081, 267, 13351, 676, 543, 9575, 538, 610, 1063, 269, 1452, 2185, 3056, 10898, 616, 3743, 585, 476, 10170, 2600, 540, 7972, 543, 7063, 538, 4070, 563, 3963, 616, 519, 1445, 2185, 10898, 865, 1271, 888, 763, 10312, 9050, 10898, 616, 849, 3006, 1634, 607, 519, 674, 7614, 9050, 269, 2334, 779, 1317, 13013, 11190, 814, 4857, 873, 607, 519, 2185, 3056, 3123, 540, 28896, 269, 634, 8116, 6499, 12820, 547, 4628, 5431, 543, 1174, 1346, 10898, 267, 538, 1931, 547, 2061, 2104, 13685, 689, 9648, 563, 1432, 616, 519, 476, 275, 2922, 3268, 538, 9651, 2359, 888, 5278, 3435, 616, 811, 2500, 982, 1866, 269, 5269, 2386, 707, 3070, 1281, 711, 6338, 1007, 10898, 16634, 15919, 1210, 811, 982, 835, 1852, 2268, 1223, 581, 519, 1034, 2500, 1259, 547, 2569, 519, 4598, 547, 10898, 563, 268, 476, 272, 26332, 3729, 519, 9651, 563, 268, 476, 273, 15240, 3482, 519, 9651, 563, 268, 476, 274, 1772, 25544, 519, 9651, 563, 268, 476, 275, 2422, 4702, 8060, 563, 1432, 568, 519, 476, 275, 10898, 538, 13013, 11190, 888, 4322, 14245, 1445, 593, 519, 8262, 9050, 14716, 18171, 1841, 1107, 8813, 267, 6850, 322, 1081, 267, 9575, 2987, 543, 13351, 8386, 269, 2353, 2866, 2326, 786, 3382, 519, 2185, 10898, 2938, 5781, 593, 4070, 4609, 543, 786, 1445, 593, 519, 2409, 585, 519, 6284, 543, 519, 6604, 540, 891, 1455, 10898, 563, 7617, 540, 519, 10312, 9050, 568, 3743, 585, 519, 1034, 28896, 888, 3445, 260, 540, 674, 7614, 885, 22484, 1291, 519, 1895, 609, 476, 29575, 856, 540, 476, 4200, 272, 2698, 7972, 630, 4343, 269, 278, 15992, 4553, 676, 13351, 676, 1843, 1765, 11152, 7972, 630, 280, 269, 275, 260, 5148, 6850, 322, 1903, 1765, 11025, 7972, 630, 279, 269, 274, 260, 5148, 543, 9575, 538, 1063, 1765, 7761, 7972, 630, 278, 269, 274, 260, 1916, 3963, 616, 789, 849, 1634, 607, 519, 674, 7614, 476, 275, 888, 4322, 1072, 2152, 267, 4122, 5219, 547, 607, 968, 763, 674, 7614, 9050, 2223 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8629, 2305, 7869, 281, 10289, 519, 3955, 21827, 1063, 4317, 3163, 267, 623, 1941, 2762, 267, 543, 5980, 692, 1103, 2221, 781, 3059, 2085, 267, 27127, 2762, 814, 1831, 5051, 3015, 543, 7298, 1369, 2442, 2528, 269, 901, 16012, 15287, 814, 17275, 9840, 1851, 5640, 827, 922, 1764, 593, 4008, 6384, 267, 3347, 267, 543, 1582, 12656, 4003, 269, 2290, 1880, 1523, 602, 814, 6591, 20086, 538, 891, 5717, 568, 1843, 2305, 3069, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 14960, 540, 1843, 2305, 3069, 998, 519, 7828, 540, 1514, 2257, 267, 6313, 875, 621, 28107, 3294, 538, 1585, 3029, 540, 2923, 267, 1519, 27127, 2762, 267, 543, 3695, 922, 6286, 585, 2043, 543, 2486, 693, 1804, 780, 272, 269, 25043, 540, 8629, 2305, 7869, 692, 30606, 2305, 3069, 729, 1101, 5189, 676, 16895, 22526, 12049, 9581, 517, 543, 8751, 328, 268, 25486, 21662, 538, 476, 1960, 278, 269, 634, 4295, 2856, 25856, 1472, 519, 1184, 17929, 2043, 630, 27146, 3320, 2021, 264, 616, 5701, 607, 3615, 610, 1560, 2694, 2864, 982, 1950, 1480, 7919, 269, 4340, 547, 519, 3069, 267, 971, 2126, 666, 1291, 547, 2942, 5626, 4539, 267, 971, 607, 4389, 5042, 2773, 267, 2799, 1582, 268, 15953, 2305, 267, 543, 2539, 1582, 12635, 269, 1284, 786, 2253, 938, 7634, 676, 26819, 532, 519, 2679, 7161, 540, 1843, 2305, 3069, 543, 26500, 922, 5072, 538, 3140, 543, 2686, 8658, 780, 273, 269, 8466, 2776, 1027, 757, 540, 8629, 2305, 538, 9085, 543, 9177, 692, 2414, 4628, 1174, 519, 829, 11663, 4369, 540, 1843, 2305, 538, 4207, 2486, 267, 621, 568, 1898, 547, 10250, 922, 8129, 2429, 1686, 269, 3245, 3504, 5931, 899, 519, 589, 2940, 573, 543, 2549, 611, 529, 632, 12821, 3121, 547, 811, 2413, 1568, 899, 21877, 645, 990, 776, 543, 15248, 932, 2660, 2917, 781, 700, 1478, 267, 5339, 28402, 540, 2021, 723, 1419, 15091, 741, 2168, 10305, 1247, 10714, 532, 741, 6418, 2729, 543, 8116, 269, 1635, 7421, 1883, 1806, 689, 1114, 942, 5712, 267, 649, 666, 1732, 10146, 875, 6848, 8155, 543, 2418, 3337, 11269, 540, 8706, 6541, 543, 27828, 780, 274, 269, 12634, 11724, 725, 540, 8629, 2305, 538, 15019, 9012, 692, 4415, 519, 4473, 540, 2527, 2923, 543, 3059, 4066, 267, 1843, 4328, 11052, 814, 1831, 24819, 538, 10229, 267, 2575, 7044, 267, 3381, 3756, 267, 543, 824, 3029, 540, 3308, 9913, 269, 1452, 26007, 4749, 2569, 2021, 547, 4638, 1242, 4703, 267, 17923, 5739, 11475, 543, 7700, 547, 513, 2916, 20009, 547, 5208, 1996, 2021, 269, 1677, 9414, 713, 1448, 267, 649, 786, 4983, 2013, 2090, 6537, 689, 2487, 1382, 593, 519, 6041, 540, 4008, 538, 2442, 2923, 267, 10223, 1312, 16609, 3270, 543, 8320, 540, 4187, 780, 275, 269, 8629, 2305, 7869, 543, 623, 1941, 2762, 281, 24167, 29283, 18963, 543, 12186, 692, 303, 1941, 2762, 13054, 513, 1713, 6712, 540, 2228, 1543, 543, 11562, 1218, 2027, 3007, 950, 7234, 1843, 2305, 3069, 269, 2755, 930, 8044, 602, 27127, 2762, 3091, 3255, 585, 4638, 16882, 543, 19802, 267, 1866, 25077, 602, 621, 10419, 340, 919, 14124, 8456, 2509, 2021, 269, 14301, 2390, 12170, 2963, 689, 2487, 2090, 267, 649, 786, 2263, 519, 1950, 2078, 1063, 27127, 2762, 4616, 543, 1843, 2305, 267, 6236, 2188, 971, 607, 9135, 7375, 267, 30973, 10256, 267, 543, 1761, 2800, 780, 276, 269, 8682, 268, 30606, 2305, 281, 1215, 18378, 1436, 540, 8629, 4328, 30657, 525, 28620, 15706, 692, 5194, 2565, 2460, 540, 1843, 2305, 3069, 4145, 1582, 268, 15953, 2305, 1107, 519, 4835, 1436, 540, 6848, 12503, 547, 14883, 547, 1843, 1881, 4441, 540, 5898, 269, 3194, 5267, 602, 1582, 268, 15953, 2305, 666, 11874, 1860, 2790, 1072, 267, 3056, 547, 2589, 971, 607, 4965, 267, 4160, 267, 543, 4189, 4713, 269, 769, 713, 3296, 267, 649, 786, 1865, 519, 6127, 5817, 1582, 268, 15953, 2305, 543, 2015, 2994, 585, 5807, 3152, 6043, 543, 8171, 1851, 7925, 5095, 780, 277, 269, 18601, 8629, 2305, 538, 7073, 5980, 281, 8889, 9024, 328, 2510, 543, 23420, 23085, 28073, 692, 7661, 267, 2348, 8268, 519, 7811, 24598, 25751, 543, 4052, 19183, 540, 1843, 2305, 3069, 267, 649, 786, 2490, 938, 3007, 547, 2009, 7459, 6322, 693, 28530, 922, 17672, 2360, 269, 3245, 15424, 3800, 13389, 16770, 8763, 2326, 547, 29065, 11044, 5009, 1560, 25273, 543, 9844, 2069, 267, 972, 2291, 3875, 18817, 585, 4101, 31737, 30013, 3889, 543, 14027, 4008, 7862, 269, 769, 713, 25759, 10126, 267, 649, 786, 2992, 593, 9621, 2994, 585, 13321, 2686, 6386, 4478, 1843, 2305, 543, 14957, 585, 6209, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3393, 279, 1894, 281, 589, 15552, 540, 3776, 5384, 267, 589, 13329, 14939, 17714, 3414, 5333, 543, 7977, 267, 23874, 267, 23874, 5708, 267, 589, 2940, 573, 267, 589, 20469, 1143, 267, 6520, 540, 21654, 267, 1325, 664, 7304, 523, 2946, 15776, 720, 267, 15751, 6682, 639, 267, 25548, 748, 670, 5060, 2917, 267, 1325, 612, 663, 549, 2494, 345, 18223, 267, 12138, 32379, 7219, 267, 21238, 667, 7238, 4565, 514, 267, 13641, 1716, 517, 8176, 4210, 514, 10767, 928, 267, 2353, 2372, 2884, 593, 519, 5375, 13571, 267, 1325, 2006, 659, 267, 2549, 611, 6403, 338, 632, 12821, 3121, 267, 1977, 20281, 267, 27118, 25771, 338, 715, 514, 267, 9147, 5259, 267, 9147, 7507, 267, 17454, 9539, 768, 534, 1893, 267, 17454, 4149, 1314, 976, 267, 4911, 560, 267, 7788, 7101, 743, 858, 324, 267, 14732, 645, 3224, 25612, 267, 14732, 2677, 743, 657, 267, 14732, 5336, 1173, 21838, 924, 8891, 527, 5918, 715, 1195, 518, 267, 589, 874, 571, 2142, 18255, 267, 7442, 2544, 3780, 267, 12428, 267, 3203, 585, 1148, 781, 19160, 267, 14880, 595, 269, 22548, 651, 267, 14880, 1230, 534, 667, 1195, 548, 267, 2311, 558, 2213, 267, 29457, 7702, 2274, 662, 267, 27878, 332, 850, 2098, 7637, 267, 645, 5953, 22170, 629, 3873, 30909, 30909, 320, 267, 13852, 525, 6122, 1777, 637, 267, 29028, 267, 12670, 12138, 680, 28739, 267, 6426, 267, 31639, 540, 3751, 14880, 267, 24157, 1054, 11726, 4302, 6926, 826, 267, 4563, 12280, 267, 2349, 534, 638, 1716, 320, 267, 3883, 267, 4858, 557, 1715, 2622, 267, 20574, 5062, 295, 1446, 267, 3703, 6237, 3332, 267, 10371, 1421, 645, 3224, 25612, 1920, 267, 8738, 956, 4302, 267, 595, 269, 590, 269, 11066, 267, 15443, 728, 267, 24883, 17540, 550, 525, 267, 18280, 534, 1893, 267, 595, 2255, 268, 2420, 267, 595, 15530, 541, 966, 747, 731, 632, 12142, 7304, 2946, 531, 267, 20456, 3209, 267, 932, 753, 517, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30606, 2305, 7869, 257, 607, 851, 540, 834, 24719, 13316, 1315, 623, 1941, 2762, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 1185, 513, 11315, 1554, 19108, 1317, 707, 3659, 4460, 4769, 1405, 1832, 1010, 9153, 547, 948, 596, 609, 6780, 269, 9894, 646, 9114, 547, 596, 2496, 7692, 281, 4270, 267, 7705, 267, 594, 1589, 865, 269, 1261, 1767, 646, 1131, 2097, 936, 547, 1353, 1927, 855, 2760, 4951, 909, 269, 901, 3884, 1405, 519, 1101, 942, 2901, 269, 898, 2306, 803, 4898, 952, 1945, 568, 4636, 609, 1864, 780, 8334, 281, 1411, 917, 267, 3006, 1004, 1810, 1405, 798, 1018, 789, 2161, 789, 786, 267, 855, 621, 3085, 1405, 2141, 1611, 789, 616, 14084, 269, 9320, 4460, 29709, 610, 3893, 11112, 609, 1945, 3116, 269, 1717, 267, 952, 646, 1281, 713, 2186, 540, 3364, 1419, 267, 1287, 621, 1223, 581, 513, 1966, 269, 1703, 781, 2965, 1945, 538, 6530, 1572, 4165, 529, 3469, 22226, 13081, 799, 1522, 7618, 596, 540, 4460, 781, 2623, 780, 7692, 281, 1548, 781, 602, 267, 7705, 2496, 8334, 281, 4165, 529, 3469, 22226, 13081, 568, 950, 2576, 9846, 23304, 1841, 824, 1004, 781, 2924, 543, 4606, 269, 1358, 949, 9114, 267, 2736, 4031, 267, 957, 25796, 569, 267, 543, 3668, 6568, 269, 1809, 3314, 267, 1152, 513, 3318, 666, 13209, 2576, 609, 713, 4524, 267, 543, 649, 12582, 1405, 7914, 547, 8753, 1510, 6616, 782, 519, 5013, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 267, 952, 4460, 2731, 814, 713, 4524, 267, 875, 1131, 602, 1860, 938, 11505, 2496, 8334, 281, 1403, 4460, 5963, 814, 4165, 529, 3469, 22226, 13081, 267, 646, 1522, 6560, 547, 1174, 1946, 1010, 3527, 10413, 1866, 269, 4658, 609, 713, 4524, 1265, 621, 2182, 547, 1106, 2673, 4296, 2094, 789, 4225, 741, 1378, 2115, 1657, 3025, 3116, 781, 269, 1306, 513, 1267, 267, 4509, 513, 2635, 2078, 3587, 4101, 780, 7692, 281, 2334, 4992, 2352, 269, 1215, 666, 649, 6023, 971, 3871, 20617, 2496, 8334, 281, 4279, 2243, 267, 7585, 256, 3689, 267, 1577, 781, 1445, 593, 1018, 649, 666, 1852, 910, 6000, 269, 2142, 9237, 267, 6325, 267, 543, 12391, 2509, 1866, 269, 1879, 7231, 609, 2576, 945, 1522, 723, 713, 4524, 267, 1305, 2312, 6302, 267, 543, 6529, 547, 873, 269, 5269, 2386, 596, 5968, 16175, 827, 707, 6788, 543, 4606, 269, 1656, 1034, 11932, 267, 2149, 3054, 14156, 543, 9308, 952, 2877, 780, 7692, 281, 8729, 585, 7713, 621, 547, 803, 267, 7705, 269, 594, 1745, 811, 5423, 1631, 269, 2913, 781, 4126, 4460, 729, 1175, 2348, 513, 3983, 1554, 543, 4986, 811, 3978, 982, 602, 780, 8334, 281, 25999, 267, 7585, 256, 5457, 267, 621, 781, 1898, 547, 2285, 1004, 519, 4324, 540, 519, 8969, 1354, 14322, 4376, 269, 9442, 543, 1620, 979, 513, 1279, 1259, 538, 2679, 2178, 3347, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15578, 20525, 2894, 6730, 15562, 7473, 595, 17955, 5508, 667, 2177, 3201, 291, 808, 269, 13138, 308, 6573, 454, 3528, 966, 1550, 5682, 6229, 267, 1912, 6185, 1421, 13653, 540, 667, 14280, 2414, 1103, 845, 3820, 454, 293, 21788, 11555, 3008, 2177, 21764, 28267, 297, 4488, 16739, 9215, 589, 13697, 21197, 5058, 13138, 308, 6573, 23166, 589, 13662, 21062, 12471, 13965, 667, 8656, 294, 301, 5308, 3041, 281, 21450, 16843, 3918, 293, 7473, 21764, 11555, 289, 7473, 307, 3201, 454, 763, 20306, 677, 676, 519, 10076, 2657, 7991, 547, 3447, 622, 519, 5398, 6168, 11686, 779, 5369, 12278, 23977, 1676, 3809, 281, 7316, 1284, 3657, 2311, 454, 14112, 569, 1310, 11686, 779, 9550, 538, 476, 1001, 277, 267, 1082, 2790, 1072, 4648, 12038, 856, 827, 1018, 789, 4718, 607, 519, 1007, 7022, 779, 4652, 5893, 585, 5604, 269, 3509, 2404, 11686, 779, 5615, 609, 1880, 5626, 16426, 602, 267, 538, 2490, 267, 10567, 5906, 1145, 269, 1635, 3257, 865, 267, 789, 941, 1166, 597, 1154, 609, 18670, 540, 606, 5683, 11865, 540, 519, 1977, 5369, 12278, 5948, 630, 4338, 288, 264, 1572, 519, 7108, 4248, 14329, 630, 1492, 1977, 16723, 5948, 814, 849, 6462, 713, 4341, 1040, 634, 7108, 4248, 14329, 10238, 1080, 4648, 689, 23235, 4896, 789, 723, 711, 13948, 8947, 269, 769, 4728, 540, 476, 1001, 278, 267, 1100, 8969, 538, 3210, 547, 1346, 6340, 856, 827, 519, 1007, 7022, 267, 519, 14905, 562, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12901, 529, 3469, 22226, 13081, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 22226, 15136, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7003, 4311, 269, 1245, 652, 14067, 871, 264, 2652, 476, 271, 912, 4848, 453, 6112, 7003, 4311, 269, 2908, 652, 14067, 871, 264, 3436, 476, 271, 912, 15235, 453, 14403, 815, 1582, 269, 2908, 652, 14067, 871, 21014, 4590, 15235, 19677, 269, 1245, 652, 14067, 871, 6910, 263, 14403, 9239, 22592, 32708, 4311, 2187, 453, 19677, 6230, 913, 15461, 318, 1245, 652, 14067, 871, 4590, 453, 453, 339, 787, 912, 4848, 16596, 1582, 269, 1245, 652, 14067, 871, 15631, 272, 2639, 453, 453, 21955, 12039, 13286, 912, 4848, 16596, 7183, 7531, 22592, 568, 318, 24105, 4311, 2187, 453, 14851, 630, 6352, 4311, 269, 2908, 652, 14067, 871, 264, 3436, 476, 271, 264, 610, 630, 6352, 4311, 269, 1245, 652, 14067, 871, 264, 3436, 476, 271, 2187, 4848, 16596, 8771, 454, 453, 28432, 912, 4848, 16596, 6936, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4008, 543, 3354, 8965, 9837, 9244, 17047, 609, 875, 789, 4862, 827, 543, 3838, 590, 261, 303, 3377, 3887, 3052, 1421, 9038, 811, 1419, 5433, 513, 2123, 5539, 547, 2671, 267, 543, 4587, 1004, 941, 1447, 2693, 547, 5873, 705, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 20150, 25400, 15136, 1315, 7731, 2566, 543, 12003, 6127, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1973, 11919, 543, 29414, 5714, 269, 8000, 9914, 568, 1336, 5097, 3330, 2281, 267, 543, 9770, 568, 519, 1292, 23386, 538, 29414, 5714, 1160, 2023, 623, 7927, 269, 1403, 649, 1589, 540, 513, 1591, 9245, 607, 513, 2481, 267, 649, 666, 1205, 513, 1732, 2856, 540, 875, 519, 1098, 1602, 1562, 538, 17011, 960, 269, 1306, 1216, 13976, 909, 593, 835, 2427, 540, 519, 2481, 267, 519, 5834, 13506, 568, 1164, 543, 814, 6266, 540, 1761, 1648, 269, 1403, 1216, 568, 1577, 998, 513, 21383, 3118, 610, 6360, 22017, 267, 621, 666, 8095, 513, 17081, 543, 1711, 1648, 634, 1591, 9245, 6411, 607, 519, 11064, 1063, 519, 11379, 11656, 29296, 5714, 543, 519, 9770, 11656, 29414, 5714, 269, 2755, 621, 2636, 1863, 8574, 547, 1216, 543, 547, 1875, 1790, 6897, 267, 28920, 11131, 6675, 267, 621, 568, 6650, 1889, 762, 547, 1804, 6675, 610, 9901, 5536, 269, 9747, 10878, 1341, 543, 918, 1341, 666, 1152, 3444, 1141, 1808, 15298, 5946, 1450, 873, 547, 798, 865, 454, 289, 24286, 519, 7513, 9055, 8952, 7513, 689, 4947, 538, 269, 11086, 267, 713, 6001, 525, 519, 16209, 865, 602, 811, 5135, 666, 1205, 547, 519, 2295, 267, 24506, 1973, 2604, 267, 543, 8952, 519, 2295, 689, 2324, 865, 2182, 547, 6802, 1973, 269, 901, 568, 3622, 875, 782, 7513, 8756, 3625, 619, 960, 267, 855, 972, 616, 930, 3604, 1932, 31406, 11379, 6802, 568, 606, 1648, 12454, 6802, 602, 3096, 21085, 547, 6802, 519, 9770, 543, 11379, 12274, 1996, 741, 5834, 13506, 269, 1280, 1169, 1079, 11379, 12274, 29253, 3330, 519, 1591, 267, 1614, 9770, 12274, 616, 29253, 3544, 269, 898, 2164, 538, 513, 2121, 2530, 540, 2318, 12274, 689, 519, 1591, 634, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 585, 4892, 18973, 4079, 547, 8532, 1447, 982, 476, 273, 267, 4968, 31501, 540, 9770, 829, 1554, 269, 5221, 9770, 568, 1336, 538, 513, 2647, 2039, 540, 1426, 2472, 267, 519, 1655, 1259, 547, 6175, 519, 9770, 538, 707, 2732, 568, 676, 2921, 513, 1413, 693, 875, 1454, 9770, 568, 538, 519, 1426, 2472, 596, 2356, 3548, 1215, 798, 519, 3601, 540, 17011, 630, 1492, 31887, 540, 519, 26307, 267, 519, 2932, 1734, 540, 519, 9055, 267, 543, 519, 9357, 27080, 540, 519, 9770, 9706, 582, 9914, 6802, 264, 960, 1927, 547, 11863, 6453, 15202, 286, 634, 13502, 2630, 1935, 713, 2243, 676, 4358, 609, 519, 11953, 20188, 21536, 9707, 9245, 543, 4946, 519, 824, 3334, 538, 513, 1900, 3772, 6752, 2290, 540, 519, 1034, 1271, 15450, 538, 2831, 2281, 568, 519, 9770, 1790, 582, 9914, 6802, 630, 27845, 1341, 268, 298, 1341, 21085, 848, 1070, 799, 15387, 519, 6850, 23755, 13506, 630, 663, 519, 2953, 9830, 540, 10878, 1341, 543, 918, 1341, 264, 538, 2713, 2281, 7868, 9770, 1790, 582, 9914, 6802, 7575, 918, 1341, 883, 519, 1591, 1247, 3001, 10878, 1341, 856, 693, 519, 1482, 942, 267, 693, 513, 5223, 540, 1614, 10878, 1341, 585, 1169, 1079, 918, 1341, 12274, 6410, 538, 269, 634, 10878, 1341, 268, 298, 1341, 21085, 848, 6818, 538, 1079, 3029, 563, 3674, 519, 670, 266, 10889, 1229, 267, 865, 596, 666, 1405, 2015, 621, 607, 513, 5372, 5471, 524, 566, 3330, 519, 1591, 269, 4746, 1281, 519, 3668, 540, 1216, 538, 519, 1560, 267, 21592, 9830, 540, 782, 32690, 2523, 1525, 710, 269, 4746, 1018, 827, 9770, 11379, 6802, 269, 594, 917, 585, 2386, 602, 7378, 4679, 519, 2534, 540, 9770, 11379, 6802, 267, 8744, 918, 266, 883, 519, 2281, 634, 9770, 1790, 582, 9914, 6802, 849, 20781, 547, 1379, 13668, 689, 707, 8401, 1062, 269, 7743, 23386, 3666, 568, 1271, 585, 707, 1973, 267, 20697, 543, 2337, 2226, 824, 4105, 1560, 3252, 269, 594, 517, 24517, 1674, 634, 9770, 1790, 582, 9914, 6802, 5402, 2824, 338, 799, 12274, 547, 1450, 538, 610, 856, 540, 2281, 269, 901, 15387, 519, 5122, 5279, 454, 269, 273, 2395, 538, 519, 1928, 6802, 1895, 543, 476, 273, 269, 276, 2395, 538, 519, 1895, 1510, 1928, 15450, 630, 335, 815, 476, 271, 269, 6021, 1040, 634, 4589, 11943, 602, 519, 2022, 268, 10869, 946, 540, 1928, 15450, 538, 705, 3256, 514, 6955, 7360, 2550, 1281, 711, 3648, 2087, 1928, 2359, 634, 6802, 568, 15181, 676, 13101, 269, 7201, 13101, 10638, 519, 6802, 1599, 568, 15176, 267, 1317, 519, 9245, 11083, 335, 848, 267, 519, 11747, 3743, 267, 1631, 2982, 4389, 2534, 267, 634, 1648, 14041, 585, 519, 3560, 2534, 540, 519, 9770, 9706, 582, 9914, 6802, 568, 6719, 676, 21085, 538, 1106, 540, 922, 13101, 1950, 3397, 757, 602, 666, 3625, 610, 15936, 609, 519, 9770, 543, 11379, 9055, 543, 9770, 1790, 582, 9914, 6802, 2014, 954, 8306, 540, 519, 18640, 540, 519, 5122, 1761, 269, 901, 786, 14020, 267, 3500, 267, 610, 4625, 14443, 519, 3350, 540, 519, 5122, 1761, 269, 3509, 14984, 5778, 1729, 343, 1231, 11851, 741, 17219, 676, 713, 7271, 634, 17716, 9737, 17865, 1299, 8000, 9914, 269, 634, 16799, 1063, 5567, 538, 707, 2732, 666, 723, 513, 7096, 1198, 593, 707, 1072, 269, 634, 2078, 1063, 11379, 543, 519, 9770, 538, 6070, 267, 585, 1383, 267, 7506, 707, 2949, 9025, 1134, 5630, 269, 1403, 596, 616, 899, 1034, 1004, 538, 519, 772, 2529, 1421, 707, 2732, 3568, 563, 14631, 6021, 272, 5999, 282, 476, 14028, 4962, 274, 20861, 338, 282, 476, 11152, 260, 630, 275, 2918, 274, 16863, 264, 24720, 24143, 7348, 28483, 269, 1215, 1082, 1016, 28493, 1281, 519, 9770, 11379, 21085, 848, 6802, 8000, 9914, 568, 606, 1898, 7777, 4171, 12274, 616, 4105, 585, 519, 8647, 540, 782, 2713, 2281, 269, 898, 7213, 12885, 538, 2030, 2281, 267, 2495, 602, 1082, 4195, 5388, 543, 5613, 910, 1034, 28020, 20397, 910, 616, 3638, 538, 621, 269, 19837, 9407, 11379, 568, 849, 1336, 538, 4262, 5388, 267, 2094, 26869, 568, 5111, 476, 271, 269, 6860, 2600, 11379, 676, 2597, 269, 2755, 1034, 1004, 616, 3222, 593, 930, 1377, 602, 11379, 269, 634, 2634, 3096, 519, 9770, 1790, 582, 9914, 6802, 585, 922, 3232, 960, 269, 12207, 7447, 602, 519, 2634, 781, 12457, 2339, 3096, 5176, 476, 4037, 2600, 540, 922, 2698, 1648, 609, 9770, 1790, 582, 9914, 6802, 1599, 269, 769, 1840, 267, 519, 9770, 1790, 582, 9914, 6802, 568, 1898, 585, 14203, 2138, 1006, 267, 11178, 543, 1612, 4331, 5514, 1599, 543, 824, 2238, 269, 16505, 6658, 540, 27124, 543, 19305, 454, 32451, 2370, 11379, 543, 1932, 1454, 9770, 568, 3983, 585, 519, 2295, 543, 2489, 1072, 269, 8000, 9914, 543, 9770, 269, 769, 519, 20562, 515, 517, 540, 5929, 4891, 267, 789, 5749, 1405, 3833, 909, 972, 609, 2806, 321, 2714, 543, 8779, 10314, 267, 717, 5424, 29124, 543, 12049, 8330, 18311, 267, 543, 3627, 267, 6723, 267, 6754, 267, 543, 681, 22857, 1924, 10416, 267, 596, 21391, 519, 9770, 9706, 582, 9914, 6802, 609, 2007, 28845, 267, 543, 723, 782, 713, 9770, 3330, 519, 1591, 267, 799, 1287, 3123, 1776, 6802, 630, 1492, 9770, 270, 5632, 6458, 9401, 9734, 264, 547, 6802, 9770, 856, 543, 3142, 538, 7513, 269, 1703, 568, 1631, 811, 7513, 2139, 3330, 519, 1591, 267, 799, 4679, 519, 3196, 540, 2295, 27373, 543, 10607, 13487, 3977, 0, 292, 26663, 8370, 14263, 29235, 3670, 11224, 24369, 454, 339, 273, 910, 476, 3607, 815, 630, 339, 910, 476, 277, 7565, 339, 1341, 476, 277, 264, 901, 4806, 568, 1419, 1572, 519, 3017, 540, 10945, 563, 2791, 666, 946, 519, 4542, 585, 28809, 519, 3017, 540, 1079, 10945, 538, 713, 2013, 563, 2005, 568, 281, 476, 280, 268, 275, 815, 476, 276, 454, 5472, 519, 942, 454, 275, 16302, 14263, 476, 273, 16302, 11224, 476, 1321, 454, 343, 815, 910, 273, 270, 274, 267, 278, 270, 277, 454, 289, 16302, 11224, 524, 16302, 14263, 513, 16302, 1287, 547, 1265, 645, 1491, 519, 4009, 3597, 540, 596, 2626, 585, 536, 16302, 454, 338, 13645, 3597, 540, 476, 279, 454, 343, 815, 7132, 610, 14263, 476, 277, 563, 7761, 14263, 519, 3597, 540, 16302, 14263, 11224, 476, 7761, 855, 596, 723, 547, 581, 5100, 547, 917, 602, 519, 5934, 18592, 521, 476, 6321, 972, 596, 979, 454, 2791, 723, 547, 2322, 707, 2295, 883, 621, 2336, 24169, 713, 1966, 910, 343, 16302, 910, 2412, 343, 268, 476, 3199, 815, 271, 454, 2467, 781, 606, 11224, 7508, 2483, 276, 610, 476, 1321, 454, 2252, 1535, 16302, 910, 1015, 815, 476, 271, 1287, 1535, 815, 519, 4009, 3597, 540, 476, 1015, 454, 628, 597, 10117, 1079, 554, 1495, 516, 2195, 16265, 24219, 4642, 689, 1022, 1297, 11224, 519, 3312, 1297, 563, 333, 16302, 14263, 562, 0, 1805, 3994, 267, 1769, 27954, 543, 1979, 24899, 6312, 1043, 9087, 4461, 16657, 693, 519, 3108, 540, 14334, 950, 22292, 7646, 568, 695, 821, 593, 873, 267, 681, 31082, 2894, 2447, 1235, 723, 1336, 269, 901, 8485, 2803, 12412, 1522, 723, 1585, 3252, 267, 28330, 547, 9196, 5214, 5439, 18284, 519, 17209, 563, 4942, 6664, 2803, 1417, 7727, 1491, 538, 1164, 20589, 7646, 1310, 799, 20406, 10131, 519, 21755, 607, 7646, 540, 606, 6905, 15423, 269, 901, 1310, 326, 869, 666, 6414, 585, 3764, 543, 1256, 3108, 1765, 1721, 1454, 3476, 982, 568, 15164, 585, 24638, 7727, 563, 1103, 16955, 7135, 616, 14916, 1031, 607, 8485, 2803, 1417, 7727, 267, 2705, 930, 3327, 2861, 267, 2067, 7727, 849, 666, 1459, 513, 10770, 16657, 267, 3622, 1634, 607, 3706, 1537, 784, 2067, 8485, 2803, 12412, 269, 17667, 7727, 616, 8969, 8393, 12863, 547, 5958, 622, 982, 22803, 8485, 832, 267, 543, 3173, 666, 5386, 2389, 2317, 519, 7990, 543, 1974, 540, 741, 16657, 676, 19249, 741, 7636, 5656, 267, 2766, 1681, 873, 585, 12492, 762, 3252, 1927, 609, 4550, 23716, 10623, 1746, 543, 9804, 15392, 269, 1809, 3706, 1537, 784, 2067, 8485, 2803, 12412, 7727, 616, 3335, 28221, 543, 17663, 20715, 2609, 267, 799, 814, 11658, 741, 24534, 946, 563, 3086, 267, 962, 553, 340, 6062, 549, 1772, 327, 5866, 593, 519, 681, 31082, 2894, 4741, 585, 9622, 7217, 17460, 3163, 543, 9164, 723, 1336, 602, 15074, 11294, 267, 513, 3575, 540, 30902, 543, 5946, 1031, 607, 513, 575, 2454, 8665, 538, 6980, 543, 11955, 267, 1223, 581, 2968, 3706, 1537, 784, 2067, 8485, 2803, 12412, 7727, 799, 666, 581, 19756, 563, 763, 3173, 20762, 15074, 11294, 609, 1216, 547, 1826, 3289, 5766, 1564, 267, 1310, 799, 19068, 1673, 3072, 873, 547, 1711, 24338, 9087, 4461, 269, 2991, 4152, 3875, 15074, 11294, 9830, 543, 16171, 6381, 267, 519, 3173, 4362, 602, 669, 3739, 519, 4999, 547, 910, 1015, 2157, 17622, 3812, 519, 16999, 17371, 267, 799, 729, 2111, 547, 609, 9227, 7050, 12503, 269, 968, 8601, 1373, 476, 3199, 260, 2011, 267, 513, 4062, 540, 17371, 519, 2450, 540, 513, 4006, 13306, 666, 1489, 513, 476, 2412, 11304, 2597, 2223, 3081, 1772, 327, 5866, 269, 5082, 1258, 22794, 7000, 602, 519, 9087, 4461, 1185, 1360, 1455, 5656, 267, 609, 22405, 540, 13380, 7306, 543, 6163, 563, 5475, 519, 1895, 695, 821, 22292, 7646, 593, 519, 9087, 4461, 267, 789, 16657, 539, 5835, 25984, 585, 513, 1297, 540, 7643, 269, 968, 296, 729, 865, 14281, 950, 1250, 2875, 30554, 6062, 595, 2967, 694, 16781, 760, 527, 3585, 1336, 602, 15074, 11294, 9087, 4461, 1397, 2178, 3706, 1537, 784, 5214, 8485, 2803, 12412, 2223, 973, 565, 937, 338, 1772, 327, 5866, 269, 968, 22746, 2178, 3706, 1537, 784, 5214, 8485, 2803, 12412, 1223, 2760, 581, 16545, 1759, 593, 15074, 11294, 779, 7636, 2497, 3034, 763, 3173, 4362, 602, 13421, 540, 3114, 6887, 5219, 547, 607, 3327, 2643, 338, 723, 1044, 18177, 585, 519, 9087, 4461, 685, 3706, 1537, 784, 2067, 8485, 2803, 12412, 269, 4256, 8485, 2803, 12412, 10715, 8519, 1310, 32398, 547, 2011, 267, 607, 513, 1267, 540, 7509, 22314, 891, 3327, 2643, 13421, 563, 763, 1895, 1500, 13380, 9087, 4461, 689, 11207, 1114, 7727, 267, 1927, 609, 9770, 4874, 659, 787, 17218, 543, 4874, 263, 659, 787, 4594, 728, 1040, 4014, 711, 607, 19756, 1317, 519, 15074, 11294, 9087, 4461, 267, 891, 9087, 4461, 782, 9672, 3706, 1537, 784, 2067, 8485, 2803, 12412, 3635, 267, 30437, 4544, 610, 2620, 538, 23024, 27624, 269, 17186, 532, 15074, 11294, 609, 22169, 5219, 547, 607, 14346, 288, 543, 14346, 303, 10123, 1500, 873, 8485, 2803, 576, 563, 763, 15074, 11294, 9087, 4461, 616, 1875, 3562, 13877, 267, 543, 1772, 327, 5866, 1631, 13922, 547, 1020, 873, 607, 10357, 325, 7037, 7727, 585, 9804, 8596, 563, 306, 15120, 6062, 595, 2967 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 971, 607, 281, 968, 2750, 947, 633, 3327, 8166, 630, 4596, 273, 264, 9830, 538, 519, 5790, 786, 1291, 547, 1279, 3856, 267, 21472, 267, 2518, 8337, 1848, 9717, 519, 6905, 2470, 540, 2916, 267, 799, 568, 13166, 1759, 593, 476, 1789, 4458, 1797, 267, 513, 10257, 4152, 1974, 666, 581, 1305, 909, 547, 1294, 952, 519, 8367, 666, 581, 6086, 7007, 563, 1607, 1383, 9425, 13292, 2487, 1686, 269, 2060, 519, 24182, 476, 1789, 4458, 16683, 540, 519, 17083, 676, 6276, 17713, 523, 540, 8331, 693, 513, 4873, 476, 2735, 279, 18322, 1308, 6217, 602, 968, 1492, 8511, 1198, 568, 1934, 543, 568, 7133, 938, 2916, 1631, 2223, 972, 814, 1044, 513, 8766, 2179, 540, 942, 547, 2253, 547, 1449, 519, 8367, 540, 29070, 2916, 1689, 269, 1924, 2484, 267, 9236, 13497, 2810, 11626, 2157, 540, 2910, 273, 609, 513, 15186, 4130, 982, 4397, 2333, 538, 2518, 3328, 5210, 543, 3335, 6404, 3665, 4365, 2621, 2066, 519, 8608, 267, 621, 666, 6157, 581, 1767, 602, 519, 21139, 568, 1869, 856, 593, 1018, 1279, 3856, 21472, 2360, 267, 952, 1022, 267, 2810, 2910, 273, 814, 593, 519, 4541, 563, 21953, 267, 2916, 1728, 3122, 807, 5170, 609, 2810, 15372, 269, 2991, 782, 267, 519, 10782, 568, 2943, 547, 2097, 267, 865, 2161, 2916, 5880, 19470, 12765, 5962, 676, 741, 5132, 538, 2916, 3631, 2443, 519, 1482, 3631, 602, 5340, 19796, 13124, 950, 17782, 519, 2518, 268, 11743, 2837, 7678, 1282, 519, 2250, 476, 1789, 1296, 563, 4263, 2547, 851, 540, 519, 1966, 540, 17782, 4641, 666, 581, 11911, 547, 519, 7805, 10205, 618, 540, 519, 8343, 268, 1506, 13607, 4185, 2389, 20535, 4020, 543, 13868, 519, 8367, 5057, 609, 3069, 543, 519, 4152, 5057, 609, 9781, 563, 4517, 2943, 267, 3631, 723, 513, 2462, 1909, 547, 1404, 538, 938, 1620, 540, 519, 5790, 563, 1103, 519, 4367, 547, 1010, 28601, 1433, 267, 968, 288, 966, 770, 10724, 281, 8950, 17738, 267, 8693, 4578, 267, 543, 519, 15348, 540, 6820, 654, 9879, 892, 630, 300, 3951, 4964, 267, 476, 1001, 271, 1070, 7905, 6754, 29885, 267, 513, 1139, 7163, 540, 519, 968, 4621, 7185, 892, 2070, 540, 2916, 1689, 267, 31234, 602, 968, 31819, 649, 917, 827, 519, 1158, 779, 2916, 2443, 2250, 267, 1459, 267, 543, 2104, 2443, 649, 917, 998, 3631, 1848, 1261, 849, 4967, 602, 968, 23719, 3631, 267, 972, 616, 1100, 1239, 3034, 9556, 1564, 723, 1831, 7533, 547, 2413, 3621, 2259, 269, 769, 1082, 4610, 267, 29885, 3081, 968, 26367, 3631, 9148, 610, 1256, 5372, 8047, 6901, 282, 2079, 543, 11191, 3631, 723, 1831, 9030, 1797, 540, 1239, 4015, 267, 12605, 267, 543, 3375, 1818, 3034, 22746, 568, 519, 4207, 1158, 540, 2257, 29211, 676, 519, 3532, 1907, 540, 2413, 5904, 269, 634, 1614, 2596, 3334, 540, 519, 3621, 1505, 2443, 8343, 267, 8367, 267, 543, 4152, 2443, 1869, 3180, 267, 855, 538, 1082, 2665, 519, 4152, 6712, 814, 1044, 705, 564, 1540, 267, 952, 711, 538, 930, 2665, 721, 584, 6244, 267, 676, 3631, 563, 26170, 267, 950, 621, 2501, 547, 4881, 3631, 547, 2062, 5408, 519, 3047, 779, 11397, 2104, 2916, 267, 519, 900, 5799, 11626, 10196, 267, 1234, 573, 21563, 5459, 267, 4440, 5795, 519, 1655, 8343, 281, 10435, 513, 9472, 568, 2653, 269, 9861, 1318, 568, 519, 2182, 851, 563, 1892, 20900, 808, 269, 19759, 541, 568, 513, 14468, 17874, 14368, 6048, 543, 2278, 540, 968, 1103, 6820, 654, 9879, 1284, 11565, 281, 18320, 8262, 547, 674, 841, 892, 630, 1805, 1515, 3118, 4964, 267, 476, 1001, 277, 1040, 0, 18814, 547, 1804, 8397, 6639, 1764, 540, 606, 2038, 4853, 5314, 543, 16133, 547, 741, 3141, 267, 1312, 10785, 3459, 547, 1745, 519, 12178, 540, 2916, 1689, 269, 4634, 1310, 519, 13357, 540, 476, 16328, 274, 2073, 950, 519, 1964, 540, 519, 17005, 2486, 3459, 547, 5660, 741, 1152, 17005, 4541, 811, 267, 621, 729, 1932, 3735, 269, 4014, 2470, 729, 711, 10710, 267, 519, 2029, 1500, 2713, 538, 2022, 8733, 13357, 1360, 6899, 269, 634, 2101, 4414, 27700, 4838, 3459, 269, 27951, 19558, 4577, 11396, 267, 3859, 8440, 543, 2842, 1648, 13324, 519, 6299, 1014, 2486, 865, 7561, 602, 1004, 1185, 865, 1454, 1863, 942, 602, 513, 28306, 16837, 2528, 2968, 834, 1492, 2343, 257, 782, 1472, 519, 4541, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 800, 267, 717, 4592, 23992, 267, 25844, 601, 5441, 11778, 476, 1001, 280, 267, 28044, 21859, 340, 2914, 3019, 654, 1057, 267, 8682, 12431, 11220, 594, 335, 17372, 11197, 1290, 267, 20274, 2201, 542, 8738, 3455, 7763, 345, 267, 0, 341, 7546, 3288, 26955, 325, 6873, 632, 9504, 454, 1475, 1607, 2376, 610, 3296, 949, 3111, 547, 1118, 513, 2312, 11984, 1063, 1249, 543, 5708, 269, 630, 18907, 476, 1001, 273, 10245, 347, 5575, 5920, 1475, 9558, 845, 619, 1948, 272, 676, 31733, 22383, 267, 5181, 476, 2735, 275, 2008, 763, 715, 655, 8412, 568, 513, 1546, 1061, 6625, 5624, 1222, 538, 519, 14070, 17992, 619, 7122, 269, 898, 729, 3710, 676, 23729, 520, 1258, 607, 519, 17514, 1222, 540, 1010, 1546, 1061, 6625, 2230, 18239, 267, 543, 729, 4330, 676, 19630, 639, 2398, 2711, 607, 519, 1034, 3532, 1546, 1061, 6625, 12959, 1222, 2479, 269, 634, 6928, 729, 2760, 3957, 538, 519, 3312, 3126, 267, 1152, 1373, 2016, 513, 2012, 538, 519, 2142, 770, 12668, 3126, 3803, 324, 269, 3683, 1614, 5195, 630, 276, 5998, 264, 1279, 267, 519, 6928, 729, 9280, 609, 606, 10069, 517, 19720, 267, 5969, 543, 8778, 528, 20832, 267, 2059, 609, 513, 31417, 5044, 540, 18086, 543, 17872, 9604, 269, 898, 729, 13324, 676, 519, 1648, 12366, 6500, 3957, 519, 9839, 540, 7261, 6975, 1258, 269, 4033, 29319, 3769, 513, 6370, 7041, 4055, 1804, 2614, 585, 513, 2036, 10719, 547, 4625, 1106, 3330, 563, 2467, 616, 1614, 17992, 619, 3197, 609, 834, 301, 655, 8412, 257, 538, 741, 4408, 269, 1452, 616, 715, 655, 8412, 11788, 267, 715, 655, 8412, 22367, 6390, 267, 543, 606, 9409, 1546, 1061, 6625, 4528, 540, 2274, 984, 516, 6033, 538, 17992, 619, 281, 7261, 6975, 1258, 3957, 715, 655, 8412, 6601, 6033, 563, 763, 1394, 32143, 540, 519, 715, 655, 8412, 538, 519, 31733, 17992, 619, 14676, 729, 2147, 538, 602, 23729, 520, 1258, 22002, 519, 18206, 538, 621, 269, 1717, 267, 972, 729, 835, 1271, 3017, 281, 538, 713, 15364, 1744, 1442, 24859, 729, 849, 20829, 543, 729, 2451, 593, 519, 6928, 950, 23729, 520, 1258, 781, 10136, 16091, 519, 18206, 269, 30272, 1744, 1442, 24859, 7796, 6838, 519, 715, 655, 8412, 1524, 547, 3047, 543, 2451, 621, 693, 519, 5377, 540, 519, 9533, 269, 1744, 1442, 24859, 781, 7766, 1303, 4861, 618, 676, 519, 20550, 984, 1824, 5921, 519, 6928, 729, 16618, 2394, 1454, 2663, 269, 4340, 547, 519, 5022, 2985, 538, 519, 2475, 14676, 621, 729, 13604, 1031, 676, 1744, 1442, 24859, 607, 1010, 3490, 538, 519, 6406, 2782, 1996, 2480, 23705, 517, 758, 563, 288, 15364, 5470, 14340, 950, 519, 5177, 2984, 616, 3144, 883, 7156, 269, 769, 519, 27010, 281, 476, 1220, 277, 1650, 1467, 519, 715, 655, 8412, 568, 2938, 547, 1869, 581, 28835, 519, 6129, 269, 8895, 341, 520, 1258, 2390, 2679, 513, 7372, 8955, 666, 12061, 547, 6861, 1133, 545, 1258, 538, 519, 1459, 267, 547, 2327, 1010, 1378, 17282, 538, 519, 2104, 267, 7318, 621, 676, 25738, 519, 11397, 715, 655, 8412, 856, 540, 2230, 563, 2691, 519, 4201, 984, 1824, 2451, 7261, 6975, 1258, 538, 519, 18206, 267, 789, 941, 22002, 676, 519, 1546, 1061, 545, 976, 20829, 519, 715, 655, 8412, 269, 769, 519, 6370, 602, 1671, 4240, 267, 519, 715, 655, 8412, 7923, 3294, 547, 519, 18206, 3842, 922, 8778, 528, 11237, 543, 519, 1546, 1061, 545, 976, 15748, 513, 27756, 269, 1306, 519, 1079, 1249, 687, 10599, 1194, 20829, 519, 18206, 267, 519, 8904, 540, 513, 7404, 4541, 3047, 1951, 13949, 1312, 9635, 1524, 269, 2755, 519, 18206, 11251, 3294, 538, 513, 18962, 267, 519, 715, 655, 8412, 1835, 14414, 883, 519, 7414, 7909, 269, 901, 1427, 2454, 540, 519, 16154, 540, 519, 9635, 2501, 689, 519, 3312, 19087, 2290, 19347, 3126, 269, 1879, 19630, 639, 2398, 2711, 1644, 621, 538, 2142, 770, 12668, 267, 646, 6811, 602, 519, 715, 655, 8412, 8929, 519, 18206, 1524, 269, 901, 568, 513, 1267, 540, 519, 1259, 2142, 770, 12668, 13000, 519, 3312, 20419, 3126, 281, 607, 513, 3140, 10828, 563, 1103, 519, 3047, 1032, 476, 2735, 276, 267, 606, 15456, 16939, 20114, 519, 715, 655, 8412, 538, 513, 10239, 728, 538, 3162, 3013, 630, 6011, 621, 3893, 972, 568, 6045, 2630, 1070, 5373, 519, 3007, 540, 519, 1546, 1061, 545, 976, 267, 945, 16091, 543, 556, 13094, 519, 9839, 540, 7261, 6975, 1258, 267, 799, 729, 8704, 883, 23729, 520, 1258, 5128, 267, 4758, 1864, 3552, 569, 2799, 7060, 267, 16550, 645, 18443, 23331, 267, 3131, 1061, 528, 543, 4858, 1233, 547, 16756, 2933, 1524, 543, 4283, 1010, 1560, 538, 1931, 547, 4894, 621, 563, 1103, 519, 31733, 22383, 3126, 519, 715, 655, 8412, 729, 12284, 539, 676, 912, 763, 715, 655, 8412, 1131, 1404, 513, 1454, 811, 1271, 1909, 538, 519, 2142, 770, 12668, 3126, 267, 1141, 621, 729, 6368, 3957, 269, 1879, 1079, 1507, 2516, 540, 7665, 7769, 543, 20530, 659, 976, 1765, 9188, 25728, 1218, 540, 4201, 984, 1824, 543, 1546, 1061, 545, 976, 689, 1614, 5553, 538, 519, 2104, 1765, 10177, 767, 539, 1394, 538, 942, 543, 10138, 909, 18843, 539, 593, 22300, 3047, 267, 519, 30217, 748, 20530, 13154, 570, 5875, 10358, 4092, 519, 715, 655, 8412, 543, 267, 796, 2041, 4385, 560, 547, 4896, 3116, 267, 3459, 1201, 7875, 5109, 621, 267, 28459, 1154, 621, 609, 513, 1098, 8705, 335, 1591, 543, 513, 20530, 13154, 13355, 4971, 23641, 267, 607, 1134, 607, 519, 1152, 824, 4540, 5299, 540, 519, 595, 19879, 540, 10021, 639, 267, 799, 646, 1185, 21687, 1354, 6028, 7261, 6975, 1258, 5128, 630, 1492, 824, 5299, 729, 20829, 519, 18206, 1040, 11374, 570, 5875, 10358, 781, 2669, 267, 2705, 267, 23729, 520, 1258, 9715, 519, 6928, 543, 1031, 621, 547, 4323, 519, 18206, 269, 2353, 8604, 4503, 2394, 10910, 514, 2135, 1835, 14414, 606, 4201, 984, 582, 29060, 998, 519, 715, 655, 8412, 267, 8185, 14124, 621, 269, 634, 6928, 729, 2063, 2938, 7106, 8960, 936, 519, 16880, 911, 4979, 3595, 543, 8673, 267, 27229, 1350, 4575, 1279, 2614, 585, 519, 715, 655, 8412, 547, 3914, 543, 16154, 883, 513, 7823, 538, 3162, 3013, 267, 1141, 621, 729, 13604, 12617, 2394, 519, 1032, 476, 2735, 276, 563, 1103, 2142, 770, 12668, 5822, 267, 715, 655, 8412, 729, 519, 2012, 540, 8895, 341, 520, 1258, 781, 4541, 1355, 28183, 269, 1323, 11999, 6928, 602, 1223, 8963, 3003, 10600, 540, 741, 1648, 267, 8895, 341, 520, 1258, 5462, 547, 4323, 7261, 6975, 1258, 609, 621, 267, 855, 729, 11074, 676, 700, 1470, 1230, 341, 1195, 269, 2037, 571, 3022, 267, 8895, 341, 520, 1258, 1305, 519, 715, 655, 8412, 547, 1582, 1673, 652, 1192, 547, 6146, 1010, 535, 3996, 267, 855, 646, 1152, 16309, 538, 29212, 1010, 535, 3996, 538, 513, 21431, 23346, 267, 543, 1476, 1456, 1010, 1378, 10136, 547, 513, 3109, 8559, 563, 763, 715, 655, 8412, 1281, 711, 2408, 538, 519, 2661, 268, 9146, 4670, 267, 1373, 602, 519, 17992, 619, 3560, 2933, 607, 1486, 334, 845, 834, 1260, 1115, 2668, 634, 715, 655, 8412, 1281, 2408, 538, 519, 3524, 601, 267, 7000, 547, 581, 634, 12096, 523, 781, 14361, 269, 634, 6928, 1835, 14414, 593, 835, 540, 21275, 781, 24262, 267, 4742, 519, 1546, 1061, 545, 976, 262, 3490, 540, 4238, 607, 2938, 538, 17992, 619, 281, 26415, 338, 540, 962, 16518, 609, 25578, 920, 600, 1210, 621, 547, 3406, 585, 519, 2353, 4944, 1046, 630, 663, 26723, 839, 4601, 23729, 520, 1258, 1040, 4014, 621, 568, 4330, 607, 519, 13423, 727, 540, 1546, 1061, 6625, 2257, 267, 621, 568, 8806, 513, 3560, 585, 1160, 1729, 13257, 267, 543, 568, 2965, 1454, 21260, 982, 519, 4201, 984, 582, 6697, 6928, 267, 519, 18206, 563, 1103, 17992, 619, 281, 1234, 1597, 613, 540, 519, 12096, 523, 519, 715, 655, 8412, 568, 2938, 1835, 14414, 593, 835, 540, 21275, 781, 24262, 28069, 538, 519, 2250, 269, 634, 20739, 1188, 568, 519, 22071, 540, 519, 12096, 523, 543, 849, 519, 1747, 1141, 1546, 1061, 6625, 24011, 13530, 616, 6854, 538, 9279, 9398, 267, 15877, 519, 2037, 1120, 517, 547, 581, 32570, 539, 269, 1879, 23729, 520, 1258, 568, 759, 584, 5550, 539, 267, 646, 9843, 1934, 1141, 646, 10742, 609, 25578, 920, 600, 543, 519, 12096, 523, 945, 9753, 23729, 520, 1258, 547, 6146, 19630, 639, 607, 646, 568, 519, 2063, 11788, 543, 519, 1152, 835, 945, 666, 3247, 1864, 269, 13536, 267, 1310, 19630, 639, 568, 7166, 267, 519, 12096, 523, 1033, 2851, 5128, 689, 519, 6928, 543, 3762, 269, 2991, 519, 9891, 4498, 1407, 614, 568, 10032, 621, 568, 16912, 539, 602, 519, 24011, 13530, 829, 1639, 1813, 547, 3668, 540, 2037, 1120, 517, 267, 4849, 585, 519, 1906, 23729, 520, 1258, 15151, 27366, 543, 6854, 9800, 538, 4000, 269, 634, 715, 655, 8412, 568, 711, 2938, 1586, 1310, 19630, 639, 262, 2669, 563, 763, 715, 655, 8412, 2306, 513, 2132, 585, 519, 476, 1220, 279, 14295, 3019, 8416, 7641, 10022, 267, 1141, 621, 568, 1454, 8273, 543, 6793, 982, 519, 18206, 269, 898, 669, 1162, 519, 18206, 267, 585, 621, 11438, 519, 2353, 4944, 1046, 269, 1879, 519, 2230, 8115, 621, 4422, 998, 1011, 3941, 267, 782, 519, 1546, 1061, 545, 976, 267, 4849, 25578, 920, 600, 267, 14460, 6928, 269, 18984, 1516, 519, 19046, 267, 25578, 920, 600, 13475, 519, 2353, 4944, 1046, 547, 3047, 855, 519, 715, 655, 8412, 26301, 593, 519, 7599, 269, 2991, 25578, 920, 600, 705, 663, 976, 621, 593, 519, 7599, 547, 3406, 585, 519, 2353, 8967, 1046, 593, 3047, 267, 700, 1872, 18133, 543, 2349, 6308, 9405, 2663, 12446, 538, 519, 12558, 834, 299, 739, 543, 5853, 257, 543, 3605, 922, 21219, 269, 1358, 17429, 576, 602, 23729, 520, 1258, 568, 1869, 23493, 593, 3047, 543, 267, 899, 25578, 920, 600, 267, 13956, 547, 1265, 1864, 269, 4438, 519, 3791, 4005, 267, 23729, 520, 1258, 543, 513, 771, 10603, 617, 1221, 25578, 920, 600, 8415, 519, 2353, 4944, 1046, 23650, 538, 25578, 920, 600, 781, 2212, 547, 556, 1177, 2586, 26102, 10966, 689, 1010, 588, 12118, 9376, 267, 543, 2282, 519, 3126, 3803, 324, 946, 1010, 1098, 8705, 335, 2702, 547, 979, 1394, 547, 519, 715, 655, 8412, 269, 1703, 267, 789, 14906, 14162, 31773, 609, 1744, 1442, 24859, 543, 1118, 4566, 547, 1628, 26102, 10966, 804, 2158, 269, 25578, 920, 600, 3217, 713, 4316, 547, 1205, 1776, 1560, 630, 6748, 1010, 3003, 554, 867, 324, 540, 1486, 334, 13257, 543, 1560, 2694, 1040, 23729, 520, 1258, 30001, 519, 22302, 1560, 2694, 543, 930, 540, 519, 1486, 334, 13257, 2899, 646, 25395, 25578, 920, 600, 23232, 269, 1261, 18252, 1614, 540, 519, 6967, 1486, 334, 13257, 630, 531, 784, 609, 2694, 540, 519, 715, 655, 8412, 264, 547, 1711, 519, 9709, 26102, 10966, 804, 2158, 269, 634, 804, 2158, 616, 2147, 538, 5920, 547, 700, 1872, 18133, 630, 531, 18464, 609, 26102, 10966, 781, 1560, 264, 538, 2212, 543, 32442, 269, 634, 715, 655, 8412, 568, 711, 5018, 610, 2938, 585, 519, 14230, 540, 519, 3126, 563, 4263, 1614, 5195, 1279, 267, 519, 715, 655, 8412, 568, 519, 4102, 6928, 1500, 593, 7261, 6975, 1258, 607, 1134, 607, 1373, 17514, 1222, 540, 519, 1546, 1061, 6625, 18239, 563, 1103, 519, 8342, 23549, 590, 1002, 614, 323, 19371, 1650, 267, 1141, 519, 1546, 1061, 545, 976, 616, 24123, 543, 519, 4201, 984, 582, 519, 5636, 1622, 267, 519, 18206, 543, 715, 655, 8412, 2408, 607, 1134, 269, 634, 715, 655, 8412, 568, 4154, 538, 2681, 267, 855, 6382, 568, 8032, 899, 519, 19087, 476, 272, 6928, 269, 5487, 684, 3481, 689, 7261, 6975, 1258, 538, 476, 1220, 280, 267, 519, 715, 655, 8412, 729, 26017, 676, 25578, 920, 600, 269, 7324, 519, 12284, 540, 519, 729, 8330, 8527, 1778, 267, 2349, 6308, 9405, 267, 645, 558, 2125, 17850, 267, 1849, 858, 329, 32658, 267, 595, 6652, 615, 267, 16258, 10177, 1188, 267, 674, 1066, 5414, 267, 14333, 24859, 267, 3683, 26973, 267, 24497, 720, 267, 590, 1938, 342, 6559, 267, 590, 29888, 325, 652, 267, 14675, 24859, 267, 12942, 13062, 684, 7815, 267, 4427, 3405, 7596, 518, 543, 29114, 13388, 563, 23277, 582, 1729, 1475, 257, 296, 786, 20836, 596, 782, 547, 28545, 10590, 2008, 347, 21446, 622, 3525, 525, 1475, 24426, 6975, 1258, 1014, 20771, 2230, 6728, 267, 715, 655, 8412, 11665, 12959, 1222, 2008, 16085, 7685 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1284, 616, 711, 972, 2943, 1141, 2645, 585, 602, 1831, 8723, 1055, 7308, 1606, 3559, 325, 10591, 585, 1022, 476, 1321, 1032, 2025, 13708, 518, 269, 1717, 267, 519, 1646, 540, 3785, 899, 713, 786, 1711, 891, 2645, 543, 3756, 835, 1554, 267, 543, 519, 1554, 568, 711, 2484, 2476, 563, 294, 1868, 4002, 9199, 1188, 589, 13478, 568, 2469, 547, 581, 851, 540, 602, 269, 0, 302, 4614, 18576, 22627, 7726, 540, 519, 10432, 593, 25289, 454, 2691, 7231, 609, 21404, 267, 649, 917, 602, 835, 2460, 568, 547, 1205, 519, 5227, 5666, 540, 7513, 267, 547, 2149, 938, 7633, 563, 6624, 13500, 3494, 602, 3478, 519, 5354, 540, 938, 7513, 689, 938, 2732, 568, 1655, 267, 855, 3006, 713, 568, 2182, 547, 798, 1317, 649, 723, 547, 1265, 519, 3536, 3638, 538, 7513, 610, 1265, 1434, 10346, 602, 1331, 519, 1318, 2179, 540, 7513, 602, 649, 899, 543, 786, 3136, 547, 3548, 563, 8923, 2022, 707, 5172, 7513, 3638, 11600, 1934, 267, 610, 6645, 721, 2081, 596, 4312, 1336, 547, 1331, 7513, 998, 19787, 267, 10683, 2472, 267, 610, 824, 3688, 1164, 538, 7513, 563, 8923, 2022, 519, 5666, 630, 17524, 28819, 264, 540, 7513, 538, 1142, 6221, 865, 649, 666, 3362, 2698, 519, 11600, 610, 3688, 563, 6097, 547, 519, 2817, 27777, 18576, 7690, 267, 782, 540, 721, 936, 476, 2004, 991, 547, 1205, 693, 2547, 476, 272, 267, 1220, 544, 7714, 540, 7513, 829, 1554, 538, 5258, 13066, 540, 476, 4335, 544, 7714, 829, 7674, 269, 1280, 1346, 896, 476, 2004, 267, 519, 16252, 568, 476, 272, 267, 1822, 544, 7714, 829, 1554, 563, 1432, 781, 707, 5172, 7513, 3638, 1426, 610, 11600, 267, 547, 1628, 1193, 21789, 7633, 286, 0, 30153, 1686, 568, 14869, 539, 538, 19416, 14868, 543, 18691, 602, 267, 1256, 547, 713, 1554, 267, 28869, 883, 543, 3337, 2413, 1272, 543, 2528, 2429, 519, 2197, 269, 7324, 873, 616, 586, 16230, 330, 2967, 267, 3765, 2151, 31773, 29631, 7919, 602, 585, 5553, 941, 5156, 547, 581, 519, 2014, 540, 4948, 3765, 325, 1953, 525, 543, 13685, 269, 9894, 596, 7552, 936, 707, 1378, 3952, 2221, 286, 9894, 707, 22597, 6952, 538, 519, 2842, 286, 4340, 547, 5545, 22530, 819, 267, 602, 779, 711, 3983, 9939, 267, 602, 779, 519, 586, 16230, 330, 2967, 693, 1404, 269, 15012, 721, 607, 649, 2263, 741, 1686, 267, 519, 3029, 789, 1491, 267, 1018, 789, 666, 798, 543, 741, 2360, 593, 2413, 5545, 2486, 563, 763, 16750, 8129, 540, 586, 16230, 330, 2967, 267, 1354, 789, 2968, 519, 8631, 540, 17691, 543, 1650, 9248, 267, 9114, 538, 519, 1918, 2065, 3661, 602, 513, 5289, 1648, 666, 2291, 538, 4376, 269, 634, 5545, 5156, 602, 5289, 7919, 1572, 1395, 517, 5803, 4904, 3388, 689, 3615, 602, 2049, 538, 2470, 267, 547, 1346, 602, 616, 538, 534, 1493, 610, 812, 18478, 269, 2368, 1185, 12560, 14326, 282, 789, 941, 1572, 562, 580, 328, 2173, 527, 4821, 543, 4547, 1434, 19539, 267, 1519, 15028, 4365, 543, 3771, 341, 3949, 269, 1879, 11937, 5747, 267, 789, 941, 5156, 547, 1831, 562, 580, 328, 2173, 527, 4821, 267, 543, 941, 26902, 5792, 1107, 7429, 519, 14326, 609, 13542, 727, 610, 10795, 19367, 267, 1634, 607, 27442, 2173, 527, 4821, 269, 1452, 4547, 3765, 325, 28232, 267, 4576, 543, 1256, 2067, 12469, 267, 543, 1185, 547, 581, 1608, 4364, 609, 513, 9161, 1572, 669, 1074, 517, 269, 962, 16230, 330, 2967, 6140, 2887, 883, 519, 27442, 2173, 527, 4821, 7121, 543, 267, 936, 942, 267, 607, 3661, 1949, 2919, 538, 3567, 543, 741, 16750, 13413, 2968, 1447, 543, 1447, 632, 1881, 267, 891, 791, 880, 14326, 7283, 269, 26431, 741, 12194, 727, 562, 2137, 941, 21022, 267, 543, 789, 2968, 5515, 540, 18691, 543, 2984, 563, 5804, 519, 1647, 6502, 267, 950, 12326, 3459, 547, 581, 2813, 543, 6933, 730, 585, 4128, 540, 4984, 607, 1134, 607, 9913, 267, 586, 16230, 330, 2967, 3459, 547, 581, 811, 4749, 13269, 269, 1635, 519, 3798, 334, 1974, 267, 1282, 799, 519, 8228, 2046, 729, 2919, 543, 1082, 10070, 540, 2984, 941, 3370, 267, 586, 16230, 330, 2967, 3029, 267, 3197, 543, 5615, 1185, 1831, 4396, 1881, 543, 13798, 1881, 282, 1142, 2968, 811, 25992, 543, 811, 4481, 3743, 585, 713, 610, 602, 12136, 563, 6624, 941, 2219, 547, 581, 519, 1128, 580, 2209, 540, 3765, 325, 28232, 912, 268, 9894, 519, 6023, 593, 707, 7450, 2736, 950, 596, 8118, 621, 286, 2334, 1223, 581, 519, 3310, 540, 606, 2201, 328, 269, 3690, 3836, 607, 968, 12047, 517, 2223, 968, 339, 2651, 892, 610, 968, 22563, 559, 2223, 606, 2201, 328, 568, 513, 1362, 540, 586, 16230, 330, 2967, 2356, 13269, 609, 8325, 32356, 267, 1279, 4552, 543, 28712, 269, 8409, 17814, 8876, 606, 4401, 8630, 941, 2219, 547, 581, 1045, 4532, 1043, 543, 24215, 3532, 267, 609, 519, 2702, 547, 1118, 596, 25983, 958, 2178, 563, 268, 20944, 513, 1957, 2759, 6679, 707, 13875, 286, 9320, 596, 941, 16091, 676, 918, 4821, 527, 25764, 267, 513, 3032, 6438, 13442, 602, 26055, 593, 519, 1394, 540, 513, 26881, 880, 2842, 267, 4171, 8325, 32356, 666, 2014, 2620, 3154, 1127, 855, 1100, 1928, 563, 268, 9894, 596, 6633, 707, 12129, 286, 2349, 877, 715, 2131, 558, 1092, 267, 1776, 3032, 3697, 586, 16230, 330, 2967, 609, 513, 8237, 2766, 267, 945, 568, 1634, 585, 4358, 11642, 563, 268, 1411, 1223, 723, 2220, 1941, 596, 4718, 707, 1655, 3659, 538, 519, 8265, 950, 596, 917, 646, 779, 856, 540, 4884, 286, 9320, 16334, 329, 2088, 267, 519, 3337, 6879, 14823, 3983, 3455, 586, 16230, 330, 2967, 568, 4730, 3756, 609, 596, 282, 646, 779, 12021, 585, 1010, 5578, 693, 2921, 519, 1106, 540, 267, 543, 791, 3205, 908, 267, 3425, 563, 268, 1403, 596, 616, 538, 1483, 8373, 267, 596, 1223, 2119, 547, 16620, 769, 1872, 9564, 267, 519, 2915, 6438, 586, 16230, 330, 2967, 609, 519, 1379, 547, 4865, 9601, 543, 1118, 873, 3479, 10963, 563, 8448, 338, 267, 1498, 267, 941, 2808, 3743, 585, 811, 6126, 20825, 912, 268, 20944, 4503, 19482, 538, 519, 10239, 1152, 547, 14393, 1529, 3585, 1265, 519, 2619, 1586, 286, 15662, 490, 330, 9564, 586, 16230, 330, 2967, 949, 581, 693, 960, 269, 14171, 519, 1106, 540, 20384, 267, 891, 8825, 14326, 616, 1767, 547, 1832, 7823, 17631, 689, 8594, 563, 268, 1234, 18727, 606, 6397, 2842, 6420, 25015, 286, 898, 1223, 581, 7064, 547, 18000, 25431, 267, 513, 13442, 23401, 513, 3444, 1063, 513, 986, 764, 3019, 543, 513, 2915, 267, 799, 666, 2981, 3762, 883, 2724, 563, 2026, 942, 814, 6410, 593, 267, 609, 519, 4417, 540, 2413, 2923, 267, 543, 609, 2527, 3350, 689, 519, 24781, 547, 519, 4872, 267, 586, 16230, 330, 2967, 779, 1747, 538, 5545, 1272, 814, 17146, 1586, 269, 2755, 519, 5929, 9423, 5389, 723, 535, 12184, 267, 586, 16230, 330, 2967, 616, 1869, 1869, 3824, 11712, 538, 2528, 267, 1175, 538, 1114, 2081, 269, 2368, 540, 519, 3615, 586, 16230, 330, 2967, 12926, 20948, 949, 711, 581, 7533, 547, 1034, 1004, 779, 3232, 2729, 15042, 1107, 3688, 899, 13504, 18429, 267, 799, 941, 2899, 1031, 585, 30951, 267, 543, 1256, 3937, 1031, 538, 8105, 267, 855, 789, 723, 723, 1336, 1007, 5867, 563, 763, 3661, 538, 267, 543, 4948, 11760, 618, 540, 586, 16230, 330, 2967, 814, 5555, 2016, 1259, 547, 811, 540, 513, 3084, 23816, 1145, 269, 1452, 4241, 7068, 723, 3144, 741, 1747, 607, 519, 6697, 538, 5545, 2528, 540, 968, 628, 902, 602, 979, 29424, 538, 519, 3781, 892, 543, 741, 3310, 666, 581, 1336, 538, 1402, 2528, 689, 2756, 690, 1868, 547, 4950, 1509, 525, 269, 634, 960, 540, 30841, 2278, 1744, 9528, 340, 631, 714, 25431, 568, 4904, 609, 3197, 1759, 593, 5929, 586, 16230, 330, 2967, 269, 769, 519, 20419, 585, 799, 646, 568, 1034, 4583, 267, 2983, 10481, 10481, 3143, 918, 10560, 16230, 267, 519, 1291, 1915, 568, 1759, 593, 606, 2201, 328, 586, 16230, 330, 2967, 269, 7324, 918, 10560, 16230, 779, 15274, 616, 6129, 752, 820, 9040, 12711, 267, 1759, 593, 513, 586, 16230, 330, 2967, 540, 519, 1482, 2012, 267, 945, 729, 12926, 1634, 607, 606, 15865, 5070, 6253, 8089, 6891, 267, 543, 715, 584, 1731, 23042, 1107, 513, 3774, 11057, 1915, 1759, 593, 513, 6891, 602, 7161, 519, 8574, 540, 1004, 6972, 693, 3781, 269, 10313, 11143, 666, 849, 581, 6537, 1063, 3197, 543, 11052, 689, 2757, 586, 16230, 330, 2967, 543, 519, 2835, 540, 4498, 25431, 631, 3120, 330, 9564, 267, 4171, 3197, 1331, 513, 12357, 968, 9515, 788, 2494, 5608, 543, 968, 344, 600, 1731, 1755, 892, 630, 10520, 3836, 607, 5606, 571, 268, 5591, 24856, 918, 28385, 538, 519, 2296, 4528, 264, 1107, 13542, 727, 267, 17875, 1782, 7068, 602, 15890, 519, 694, 9955, 269, 634, 9413, 540, 15917, 7776, 631, 12011, 1794, 13403, 616, 849, 4904, 609, 586, 16230, 330, 2967, 30816, 4798, 267, 1519, 3486, 5734, 9454, 1243, 589, 3118, 543, 267, 1360, 15069, 267, 634, 25905, 3933, 517, 5803, 269, 4634, 7820, 5481, 616, 1869, 1373, 5734, 609, 519, 586, 16230, 330, 2967, 1198, 267, 16113, 676, 1411, 330, 2967, 13772, 267, 513, 3126, 540, 2442, 1909, 25178, 532, 3381, 3756, 538, 799, 519, 5716, 723, 547, 7001, 586, 16230, 330, 2967, 6438, 6891, 7068, 543, 2040, 3000, 873, 547, 6370, 593, 741, 15773, 269, 634, 1523, 949, 3280, 5432, 547, 11655, 540, 623, 758, 2946, 3000, 267, 543, 8197, 12286, 538, 602, 3486, 7613, 616, 513, 1297, 540, 3197, 602, 7703, 513, 2673, 11696, 28917, 547, 7068, 689, 519, 586, 16230, 330, 2967, 17374, 269, 1280, 1383, 267, 23977, 335, 1460, 1107, 519, 16541, 6438, 623, 5803, 3000, 945, 27372, 2390, 3395, 811, 21217, 543, 4657, 2681, 1107, 568, 1360, 5693, 1759, 593, 519, 3337, 13346, 586, 16230, 330, 2967, 267, 918, 1080, 2317, 602, 267, 2687, 547, 10828, 267, 9428, 513, 1007, 2766, 1169, 476, 1911, 1296, 543, 2390, 3395, 8370, 267, 2242, 2681, 543, 12374, 12808, 7326, 563, 3383, 267, 1247, 519, 5545, 616, 711, 607, 22992, 22530, 25875, 3823, 586, 16230, 330, 2967, 607, 789, 2899, 941, 267, 1256, 2221, 267, 519, 17691, 543, 3197, 3180, 513, 2686, 16982, 602, 568, 3982, 569, 5545, 269, 962, 16230, 330, 2967, 19582, 513, 2189, 1747, 538, 519, 2295, 540, 2413, 3567, 267, 543, 513, 2324, 1702, 540, 741, 1686, 543, 4720, 2636, 513, 2370, 5813, 883, 1018, 7620, 4667, 899, 513, 7793, 4328, 2528, 269, 8921, 942, 596, 7985, 930, 1507, 28842, 1466, 1287, 267, 596, 1522, 2015, 519, 2856, 602, 4229, 824, 982, 3983, 9939, 1522, 581, 693, 1404, 563, 5278, 540, 938, 19463, 3567, 621, 10719, 2456, 281, 0, 15578, 595, 17955, 5508, 5990, 631, 3041, 306, 5058, 700, 2562, 16775, 454, 8489, 616, 16817, 781, 21023, 539, 26187, 2812, 888, 763, 6602, 540, 5027, 814, 19117, 519, 1158, 540, 18837, 2963, 269, 12019, 2013, 6119, 723, 1044, 556, 641, 2989, 269, 595, 3234, 10904, 945, 2219, 789, 1185, 29041, 519, 1062, 723, 1044, 1517, 730, 569, 21991, 3176, 676, 513, 2220, 629, 540, 19975, 610, 1560, 12862, 16618, 827, 585, 5756, 269, 1656, 538, 930, 8320, 267, 519, 1007, 2963, 814, 608, 517, 23306, 17608, 14586, 563, 295, 9007, 2311, 9469, 729, 1175, 476, 736, 1296, 2025, 950, 1010, 1272, 3459, 547, 2887, 6306, 269, 1261, 729, 29802, 538, 5130, 267, 476, 2735, 277, 585, 10138, 532, 1614, 1004, 538, 513, 15246, 838, 872, 538, 3162, 4211, 11384, 11968, 13353, 269, 13405, 547, 1010, 26646, 513, 968, 310, 5896, 892, 16968, 1185, 1044, 4922, 6933, 730, 563, 30952, 267, 693, 513, 521, 615, 858, 779, 2655, 566, 267, 513, 476, 2537, 1032, 6040, 22149, 6408, 1350, 2331, 693, 513, 968, 310, 5896, 892, 16968, 593, 513, 7404, 3349, 602, 4951, 513, 1762, 3109, 535, 1872, 1438, 689, 11968, 13353, 269, 769, 5480, 267, 1352, 1449, 1881, 602, 1352, 5828, 547, 1200, 3993, 543, 1767, 267, 968, 6546, 779, 1864, 2223, 543, 11329, 693, 519, 4605, 540, 670, 9007, 2311, 9469, 563, 288, 804, 17064, 689, 606, 7755, 334, 1456, 1870, 1141, 519, 30429, 11074, 13713, 1354, 519, 22149, 849, 4857, 2311, 9469, 269, 9122, 5097, 2390, 891, 2363, 1168, 5893, 16499, 23888, 267, 519, 21139, 1336, 670, 9007, 2311, 9469, 16944, 540, 22149, 543, 3775, 25053, 269, 3571, 4845, 281, 476, 5325, 1296, 267, 476, 279, 3275, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 1614, 6958, 633, 23544, 263, 3916, 527, 2187, 825, 1267, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 3916, 527, 2187, 1038, 952, 1775, 4939, 476, 274, 2652, 476, 271, 610, 1775, 4939, 476, 276, 2652, 476, 271, 912, 2018, 1267, 23785, 328, 454, 2018, 2132, 1267, 454, 2745, 630, 22764, 6958, 633, 23544, 263, 736, 11723, 3698, 1614, 6958, 633, 23544, 263, 3916, 527, 2187, 825, 1267, 815, 476, 271, 454, 825, 585, 1297, 538, 2039, 630, 3916, 527, 2187, 1038, 952, 1297, 4939, 274, 2652, 476, 271, 912, 2018, 1267, 6834, 1297, 454, 1038, 8640, 1297, 4939, 276, 2652, 476, 271, 912, 2018, 1267, 6834, 1297, 454, 1038, 2132, 1267, 454, 2745, 263, 22764, 6958, 633, 23544, 263, 736, 4297, 0, 12163, 288, 1368, 328, 4831, 813, 454, 763, 3593, 30390, 593, 519, 7735, 799, 786, 9337, 513, 4831, 543, 4159, 621, 547, 519, 3593, 692, 12163, 5228, 28184, 5793, 1104, 27661, 258, 5814, 782, 3615, 689, 28184, 5793, 5399, 692, 5814, 942, 454, 5814, 30220, 692, 30720, 815, 570, 330, 4590, 258, 22056, 513, 28184, 5793, 1843, 8528, 258, 22056, 513, 8870, 4756, 547, 581, 6740, 538, 28184, 5793, 1843, 454, 322, 3300, 284, 2271, 309, 541, 10797, 258, 11034, 519, 1293, 693, 476, 271, 454, 322, 3300, 15630, 263, 271, 2020, 3698, 1293, 318, 1575, 10031, 453, 258, 15290, 1505, 568, 1045, 12097, 267, 1205, 519, 1699, 1293, 543, 1039, 476, 272, 547, 621, 563, 453, 258, 3553, 547, 28184, 5793, 2271, 309, 541, 4590, 453, 322, 3300, 15630, 6262, 3300, 10947, 3890, 1341, 476, 272, 2020, 3698, 1293, 5091, 1144, 10031, 453, 258, 15290, 1505, 568, 1045, 12097, 267, 1205, 519, 1699, 1293, 543, 1039, 476, 272, 547, 621, 563, 453, 258, 3553, 547, 28184, 5793, 2271, 309, 541, 4590, 453, 322, 3300, 15630, 6262, 3300, 10947, 3890, 910, 476, 272, 2020, 3698, 942, 318, 10915, 3306, 10031, 453, 258, 10915, 637, 1127, 942, 593, 5496, 950, 20399, 454, 453, 9690, 22710, 15630, 5560, 520, 8135, 6155, 520, 8135, 269, 852, 14061, 5503, 31156, 692, 258, 22056, 513, 7735, 6885, 267, 950, 2046, 1045, 5803, 1293, 318, 1575, 1505, 454, 321, 272, 815, 29502, 263, 30720, 267, 3667, 6889, 27463, 618, 2580, 12252, 284, 12248, 318, 1575, 994, 321, 272, 26942, 21405, 284, 272, 267, 26383, 284, 271, 2020, 321, 273, 815, 29502, 263, 30720, 267, 3667, 6889, 1372, 920, 618, 2580, 4971, 284, 12248, 5091, 1144, 994, 321, 273, 26942, 21405, 284, 272, 267, 26383, 284, 272, 2020, 258, 22056, 513, 6003, 547, 3180, 519, 1871, 540, 519, 4831, 454, 12248, 318, 3835, 815, 22443, 263, 30720, 267, 1257, 19702, 762, 284, 322, 3300, 994, 12248, 318, 3835, 26942, 21405, 284, 273, 267, 26383, 284, 272, 2020, 321, 274, 815, 29502, 263, 30720, 267, 3667, 6889, 5503, 29295, 2580, 4971, 284, 942, 318, 10915, 3306, 994, 321, 274, 26942, 21405, 284, 272, 267, 26383, 284, 273, 2020, 9690, 22710, 815, 21642, 309, 541, 4590, 9690, 22710, 15630, 5560, 520, 8135, 6155, 520, 8135, 269, 852, 14061, 5503, 31156, 9690, 22710, 318, 3835, 815, 22443, 263, 30720, 267, 1257, 19702, 762, 284, 9690, 22710, 994, 9690, 22710, 318, 3835, 26942, 21405, 284, 271, 267, 26383, 284, 271, 2020, 30720, 6230, 664, 31467, 3890, 0, 258, 918, 5336, 324, 753, 1849, 755, 1359, 5897, 258, 7383, 532, 519, 8021, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 21795, 607, 19073, 5897, 258, 7383, 532, 519, 10471, 1477, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 300, 718, 318, 20578, 619, 27406, 20298, 311, 815, 10471, 269, 559, 665, 18020, 1496, 274, 267, 275, 316, 4940, 11161, 5897, 258, 4635, 519, 4432, 11312, 544, 342, 628, 617, 547, 1265, 519, 6099, 1297, 540, 13421, 1477, 5228, 28189, 17085, 13831, 1104, 918, 9288, 753, 1477, 342, 322, 1087, 815, 1496, 15947, 1721, 1775, 538, 2039, 263, 272, 267, 1556, 8029, 825, 737, 1889, 753, 815, 918, 9288, 753, 3799, 318, 743, 31255, 815, 1775, 267, 2332, 815, 1412, 330, 24578, 753, 10030, 3299, 3193, 318, 3438, 815, 476, 4968, 267, 562, 318, 8181, 815, 476, 1015, 267, 4351, 26077, 815, 476, 271, 3418, 825, 737, 1889, 753, 32265, 11583, 3418, 825, 530, 322, 1087, 6910, 17347, 1889, 753, 23357, 1068, 807, 318, 3418, 10823, 19502, 263, 9792, 263, 272, 267, 1556, 1070, 530, 322, 1087, 3418, 10823, 26644, 3488, 763, 4432, 11312, 6396, 20298, 10823, 11859, 16932, 3488, 5591, 269, 540, 1849, 31255, 20298, 10823, 269, 29786, 3488, 310, 16430, 20298, 10823, 20481, 31476, 258, 16792, 737, 24578, 753, 620, 2998, 269, 547, 26864, 318, 20578, 619, 546, 1846, 564, 1477, 330, 1889, 753, 815, 918, 9288, 753, 3799, 318, 743, 31255, 815, 476, 273, 267, 2332, 815, 1412, 330, 24578, 753, 10030, 3299, 3193, 318, 3438, 815, 476, 4968, 267, 562, 318, 8181, 815, 476, 1015, 267, 4351, 26077, 815, 476, 271, 3418, 344, 17624, 1889, 753, 815, 737, 1889, 753, 32265, 7272, 9438, 11583, 10142, 258, 10439, 1944, 519, 13421, 1477, 10823, 31892, 2660, 11583, 314, 344, 17624, 1889, 753, 2652, 476, 271, 267, 476, 271, 3910, 2473, 314, 344, 17624, 1889, 753, 2652, 476, 271, 267, 476, 272, 3910, 521, 815, 476, 1911, 267, 2681, 815, 1412, 1042, 3299, 6003, 815, 1412, 22512, 995, 20298, 10823, 31892, 2660, 11583, 314, 344, 17624, 1889, 753, 2652, 476, 272, 267, 476, 271, 3910, 2473, 314, 344, 17624, 1889, 753, 2652, 476, 272, 267, 476, 272, 3910, 521, 815, 476, 1911, 267, 2681, 815, 1412, 19990, 3299, 6003, 815, 1412, 24092, 20298, 10823, 31892, 2660, 11583, 314, 344, 17624, 1889, 753, 2652, 476, 273, 267, 476, 271, 3910, 2473, 314, 344, 17624, 1889, 753, 2652, 476, 273, 267, 476, 272, 3910, 521, 815, 476, 1911, 267, 2681, 815, 1412, 13582, 3299, 6003, 815, 1412, 307, 13759, 20298, 10823, 31892, 2660, 11583, 314, 344, 17624, 1889, 753, 2652, 476, 274, 267, 476, 271, 3910, 2473, 314, 344, 17624, 1889, 753, 2652, 476, 274, 267, 476, 272, 3910, 521, 815, 476, 1911, 267, 2681, 815, 1412, 1097, 534, 3299, 6003, 815, 1412, 22512, 1652, 20298, 10823, 31892, 2660, 11583, 314, 344, 17624, 1889, 753, 2652, 476, 275, 267, 476, 271, 3910, 2473, 314, 344, 17624, 1889, 753, 2652, 476, 275, 267, 476, 272, 3910, 521, 815, 476, 1911, 267, 2681, 815, 1412, 528, 1052, 3299, 6003, 815, 1412, 306, 839, 1043, 20298, 10823, 31892, 2660, 17347, 1889, 753, 17085, 13831, 318, 1417, 619, 318, 18020, 476, 271, 3910, 737, 1889, 753, 17085, 13831, 318, 1417, 619, 318, 18020, 476, 272, 3910, 521, 815, 476, 4968, 267, 2681, 815, 1412, 18872, 3299, 6003, 815, 1412, 28495, 28281, 20298, 10823, 26644, 3488, 5141, 31255, 540, 1849, 1801, 20298, 10823, 11859, 16932, 3488, 25486, 783, 20677, 17347, 259, 264, 20298, 10823, 269, 29786, 3488, 8967, 2056, 24143, 263, 272, 268, 1911, 264, 20298, 10823, 269, 5586, 754, 14052, 10823, 20481, 3890, 0, 5035, 4825, 836, 25222, 912, 825, 5621, 3120, 815, 476, 1015, 1948, 693, 1026, 19513, 1857, 334, 454, 825, 6449, 331, 1173, 3120, 815, 476, 1428, 1948, 693, 1026, 19513, 17658, 5964, 513, 804, 21692, 4825, 836, 25222, 692, 825, 1948, 290, 2970, 12460, 13005, 1849, 21692, 4825, 836, 25222, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 5306, 3120, 267, 331, 1173, 3120, 2187, 1038, 1582, 269, 5306, 3120, 815, 5621, 3120, 454, 1038, 1582, 14857, 331, 1173, 3120, 815, 2434, 3120, 692, 825, 1948, 301, 553, 9938, 574, 553, 13274, 13757, 1609, 32115, 524, 686, 18372, 15259, 5192, 1562, 552, 5590, 1562, 16948, 5621, 3120, 552, 2434, 3120, 454, 825, 1219, 1205, 299, 1173, 3120, 4311, 2187, 1038, 2132, 1582, 14857, 331, 1173, 3120, 692, 825, 1219, 1305, 299, 1173, 3120, 4311, 267, 2434, 3120, 2187, 1038, 1582, 14857, 331, 1173, 3120, 815, 2434, 3120, 692, 825, 1219, 1205, 2704, 339, 3120, 4311, 2187, 1038, 2132, 1582, 269, 5306, 3120, 692, 825, 1219, 1305, 2704, 339, 3120, 4311, 267, 5621, 3120, 2187, 1038, 1582, 269, 5306, 3120, 815, 5621, 3120, 692, 258, 1849, 21692, 7402, 2355, 592, 3512, 334, 267, 6446, 1425, 597, 5451, 632, 12013, 334, 635, 334, 579, 2742, 804, 21692, 834, 652, 9792, 4275, 2580, 6446, 3352, 5451, 3351, 714, 541, 15259, 693, 1026, 583, 657, 798, 4825, 836, 25222, 454, 5035, 7402, 2355, 592, 3512, 334, 912, 825, 1427, 836, 25222, 815, 4825, 836, 25222, 263, 5655, 267, 2004, 264, 1948, 595, 686, 18372, 19804, 5136, 329, 16587, 798, 9133, 334, 4825, 836, 25222, 780, 825, 1948, 27297, 6446, 20527, 1502, 633, 331, 9106, 541, 522, 693, 1026, 19513, 5621, 3120, 25680, 339, 3512, 324, 585, 320, 13005, 1849, 21692, 4825, 836, 25222, 13439, 9938, 574, 553, 13274, 13757, 454, 825, 1427, 836, 25222, 269, 5306, 3120, 815, 476, 736, 454, 825, 1820, 3488, 2704, 339, 3120, 798, 4825, 836, 25222, 281, 15079, 8339, 8971, 263, 4958, 836, 25222, 269, 5306, 3120, 11723, 825, 1948, 13139, 21289, 23843, 635, 5192, 614, 552, 5590, 614, 798, 693, 1026, 19513, 5621, 3120, 454, 825, 1427, 836, 25222, 15630, 2704, 339, 3120, 263, 1428, 994, 825, 1820, 3488, 2704, 339, 3120, 798, 4825, 836, 25222, 281, 15079, 8339, 8971, 263, 4958, 836, 25222, 10947, 2704, 339, 3120, 28829, 9239, 825, 1948, 715, 14244, 20527, 1502, 633, 331, 9106, 541, 19804, 693, 1026, 19513, 3051, 5964, 630, 1029, 331, 1173, 3120, 264, 585, 320, 13005, 647, 320, 804, 21692, 552, 20527, 2122, 9222, 3351, 714, 541, 522, 694, 340, 5192, 614, 522, 340, 5590, 614, 454, 825, 1948, 1306, 1160, 343, 574, 553, 13274, 13757, 1609, 14244, 635, 550, 27885, 267, 1965, 24594, 3512, 324, 11188, 6446, 1714, 553, 562, 14244, 30775, 542, 600, 2439, 258, 825, 1427, 836, 25222, 14857, 331, 1173, 3120, 815, 476, 1428, 454, 258, 825, 1820, 3488, 299, 1173, 3120, 798, 4825, 836, 25222, 281, 15079, 8339, 8971, 263, 4958, 836, 25222, 14857, 331, 1173, 3120, 11723, 825, 1948, 13139, 21289, 23843, 635, 5192, 614, 552, 5590, 614, 798, 693, 1026, 19513, 700, 1173, 3120, 454, 825, 1427, 836, 25222, 15630, 299, 1173, 3120, 263, 2412, 994, 825, 1820, 3488, 299, 1173, 3120, 798, 4825, 836, 25222, 281, 15079, 8339, 8971, 263, 4958, 836, 25222, 10947, 299, 1173, 3120, 3890, 11723, 19638, 692, 0, 3698, 568, 1103, 5320, 263, 572, 4038, 17504, 267, 4484, 318, 29674, 2187, 825, 2132, 4484, 318, 29674, 538, 5728, 17504, 692, 3698, 13793, 2006, 263, 572, 4038, 17504, 2187, 825, 23288, 825, 5728, 17504, 281, 5569, 267, 519, 5728, 2262, 547, 7058, 780, 825, 3399, 338, 909, 606, 7317, 3014, 540, 670, 836, 2006, 780, 825, 2608, 2311, 519, 1376, 540, 519, 3014, 267, 1577, 519, 3593, 917, 875, 1082, 3097, 8587, 5022, 519, 5728, 17504, 3568, 780, 825, 2608, 9105, 519, 3593, 547, 3761, 835, 7058, 630, 328, 4318, 269, 4484, 264, 829, 5180, 780, 825, 2608, 634, 3593, 1058, 4309, 5955, 5612, 1310, 1142, 7058, 3097, 8587, 827, 2436, 741, 7058, 5526, 538, 519, 5904, 2262, 780, 825, 2608, 2991, 1142, 5180, 267, 596, 1058, 849, 4159, 547, 519, 3593, 519, 3097, 8587, 13148, 31665, 2262, 865, 2484, 267, 607, 1134, 607, 5022, 602, 519, 3097, 8587, 3593, 814, 711, 2943, 31665, 780, 825, 7427, 338, 519, 824, 7687, 2143, 538, 519, 1966, 2328, 5346, 563, 825, 15981, 692, 825, 1820, 2891, 8702, 547, 519, 3014, 267, 670, 836, 2006, 256, 315, 333, 296, 993, 3206, 540, 513, 2262, 602, 568, 4939, 323, 5022, 1279, 257, 4939, 6352, 263, 572, 4038, 17504, 4917, 825, 1820, 3488, 1366, 734, 5073, 825, 575, 1132, 318, 3847, 815, 476, 279, 454, 825, 575, 1132, 318, 12072, 815, 1412, 7055, 825, 5022, 318, 29674, 539, 815, 11713, 825, 1247, 575, 1132, 318, 3847, 285, 271, 912, 1038, 952, 711, 568, 17504, 10817, 612, 539, 263, 572, 4038, 17504, 267, 5022, 318, 29674, 539, 2187, 2018, 1820, 2891, 9767, 723, 4939, 323, 575, 1380, 525, 2451, 1701, 4939, 326, 1132, 318, 3847, 994, 2018, 1820, 2891, 13510, 9005, 5022, 281, 4939, 338, 257, 4939, 1326, 13510, 9005, 4131, 1562, 263, 24393, 318, 29674, 539, 4917, 2018, 575, 1132, 318, 12072, 815, 3403, 2891, 8923, 7058, 513, 4484, 281, 19515, 2018, 952, 575, 1132, 318, 12072, 538, 5022, 318, 29674, 539, 912, 3546, 1820, 2891, 302, 3591, 256, 1411, 4312, 2907, 31665, 602, 4484, 281, 4939, 338, 257, 4939, 1326, 10817, 612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3393, 276, 543, 519, 966, 310, 4338, 540, 1895, 645, 9881, 486, 476, 1556, 269, 278, 3583, 692, 1012, 12834, 692, 309, 310, 4338, 568, 513, 3532, 1907, 602, 2337, 18318, 2708, 519, 3328, 3902, 585, 22589, 1804, 9753, 1510, 4929, 2344, 17522, 269, 898, 779, 513, 4105, 13525, 538, 519, 2883, 1158, 267, 3246, 4030, 883, 2344, 3466, 543, 9467, 3255, 780, 309, 310, 4338, 568, 2016, 676, 966, 310, 4338, 815, 630, 290, 636, 11494, 12313, 2608, 11730, 264, 1315, 595, 636, 11494, 11730, 692, 1103, 713, 2376, 267, 649, 8268, 875, 547, 5173, 966, 310, 4338, 630, 24127, 13379, 539, 19105, 12313, 264, 1210, 2387, 16766, 2421, 13237, 543, 2387, 1952, 569, 13237, 538, 5124, 1210, 513, 2241, 543, 513, 5266, 811, 4052, 1383, 267, 3246, 513, 1434, 1620, 540, 713, 1271, 2883, 13525, 269, 1215, 798, 596, 1544, 547, 4019, 966, 310, 4338, 538, 707, 9467, 2994, 286, 0, 258, 2387, 344, 815, 1535, 317, 273, 552, 317, 8987, 272, 24474, 23375, 4855, 519, 12045, 540, 519, 1599, 780, 2162, 30930, 7726, 692, 6637, 476, 274, 267, 476, 274, 269, 275, 910, 9046, 476, 4097, 910, 20145, 281, 7216, 3690, 25728, 550, 1023, 630, 278, 628, 9990, 267, 6276, 26791, 1916, 8450, 782, 3435, 585, 713, 1837, 780, 7714, 541, 7702, 1704, 1923, 630, 25583, 476, 273, 264, 21133, 3447, 1807, 692, 16829, 593, 692, 319, 344, 24210, 317, 273, 324, 317, 8987, 272, 24474, 23375, 692, 32056, 29719, 666, 581, 1336, 676, 1210, 519, 1587, 4341, 692, 319, 344, 262, 284, 1535, 317, 273, 16732, 324, 317, 8987, 272, 24474, 7565, 268, 272, 265, 268, 272, 20080, 28260, 273, 4297, 1341, 324, 317, 8987, 272, 24474, 12684, 273, 343, 26384, 319, 344, 262, 284, 1535, 317, 273, 3287, 28260, 273, 324, 317, 8987, 272, 24474, 264, 3738, 266, 476, 273, 343, 324, 317, 8987, 272, 24474, 23375, 692, 319, 344, 262, 815, 552, 317, 8987, 272, 24474, 264, 1341, 273, 343, 324, 317, 8987, 272, 24474, 23375, 692, 319, 344, 262, 14352, 272, 266, 273, 343, 264, 324, 317, 8987, 272, 24474, 23375 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 268, 2641, 563, 1320, 748, 1343, 540, 4446, 333, 12386, 2983, 3150, 723, 2907, 829, 1639, 1472, 519, 3752, 3118, 713, 5162, 630, 305, 9915, 289, 10430, 1916, 289, 7568, 12386, 3619, 846, 568, 513, 6870, 2249, 543, 568, 711, 32170, 267, 855, 519, 681, 9915, 289, 1767, 602, 2604, 689, 3552, 325, 578, 6840, 10122, 824, 267, 3656, 26755, 2249, 3123, 19717, 547, 519, 2520, 3150, 267, 1818, 1166, 4169, 1491, 547, 519, 2011, 267, 1210, 909, 1648, 543, 5732, 2810, 2566, 563, 26469, 9546, 2023, 267, 10361, 540, 13206, 527, 1846, 543, 15661, 693, 681, 9915, 289, 10430, 267, 1767, 281, 834, 2171, 616, 538, 519, 17945, 540, 606, 13778, 12176, 543, 19890, 519, 3752, 3118, 4667, 547, 581, 519, 12473, 550, 516, 540, 713, 538, 519, 5177, 269, 3776, 5017, 616, 7092, 543, 789, 991, 606, 14849, 1065, 4471, 557, 547, 948, 873, 1205, 998, 713, 5162, 543, 2327, 602, 607, 1082, 607, 2009, 540, 1346, 6967, 7639, 547, 1118, 741, 9194, 1394, 1753, 547, 22778, 807, 547, 9742, 538, 519, 4832, 563, 10454, 1655, 1259, 649, 666, 798, 713, 568, 676, 4227, 519, 19469, 5222, 540, 19717, 267, 1519, 676, 3552, 325, 578, 1782, 269, 1284, 849, 2307, 602, 519, 1857, 616, 2015, 622, 543, 948, 547, 2569, 19717, 676, 5243, 676, 5329, 873, 896, 2673, 1852, 2059, 519, 3752, 3118, 9381, 1858, 269, 3776, 6887, 593, 519, 2666, 616, 7487, 1082, 5017, 602, 616, 7210, 610, 12955, 543, 896, 1713, 2566, 269, 32506, 602, 666, 581, 2944, 547, 3970, 2238, 799, 1651, 584, 3606, 19717, 693, 713, 942, 1058, 581, 8045, 609, 23473, 269, 901, 2962, 1223, 948, 891, 5095, 1282, 713, 1974, 540, 21472, 7771, 3361, 676, 519, 12176, 4799, 763, 18349, 540, 513, 10151, 15246, 7333, 814, 1044, 20888, 676, 519, 3703, 5948, 585, 1744, 17415, 543, 11094, 630, 289, 3008, 290, 1040, 32577, 290, 10430, 10615, 267, 3220, 2051, 514, 590, 1117, 6577, 267, 1767, 646, 729, 834, 921, 1078, 257, 1100, 7333, 1185, 1044, 13684, 267, 543, 3773, 602, 519, 681, 9915, 289, 781, 6811, 540, 19717, 1185, 834, 2254, 1044, 6086, 7007, 609, 2963, 8487, 763, 13812, 543, 13474, 2515, 2920, 476, 2735, 272, 3947, 11865, 585, 513, 10151, 29696, 540, 10122, 593, 3552, 325, 25717, 2249, 538, 12675, 5712, 540, 16171, 4365, 267, 513, 2268, 6462, 676, 1312, 5726, 543, 3552, 325, 578, 1782, 14540, 267, 543, 519, 681, 9915, 289, 13668, 602, 713, 9058, 26624, 14798, 12176, 581, 2016, 519, 1482, 7156, 563, 306, 1998, 321, 731, 781, 4446, 333, 12386, 2983, 3150, 616, 513, 5726, 1967, 1650, 269, 634, 1158, 2551, 17379, 1524, 547, 513, 1906, 4627, 2043, 1310, 2622, 2782, 5565, 267, 998, 29053, 19717, 538, 519, 9960, 12406, 543, 936, 327, 2863, 532, 269, 634, 4367, 540, 3656, 4027, 538, 519, 476, 4198, 271, 338, 267, 1739, 5756, 540, 681, 9915, 289, 14223, 267, 1185, 513, 2101, 2318, 1198, 267, 4611, 538, 513, 2551, 540, 1472, 476, 2412, 267, 1822, 2043, 538, 2487, 1296, 269, 634, 476, 4343, 260, 7771, 936, 835, 1032, 4061, 4564, 513, 3978, 5726, 1764, 585, 519, 2249, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2018, 2736, 454, 27030, 8931, 825, 5044, 314, 11034, 3910, 6783, 314, 14683, 316, 815, 5044, 314, 14683, 3910, 6783, 314, 11034, 2639, 825, 2132, 1164, 7531, 3698, 844, 6506, 677, 263, 6783, 267, 869, 267, 14683, 2187, 825, 952, 1970, 27045, 1164, 912, 1038, 14039, 815, 15652, 263, 6783, 267, 869, 267, 14683, 994, 1038, 844, 6506, 677, 263, 6783, 267, 869, 267, 7032, 268, 272, 994, 1038, 844, 6506, 677, 263, 6783, 267, 7032, 266, 272, 267, 14683, 994, 13872, 672, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 6783, 815, 1496, 3066, 267, 4200, 267, 2767, 267, 6078, 267, 5780, 267, 2764, 267, 4510, 267, 4281, 267, 9262, 267, 866, 267, 4029, 267, 10602, 267, 6812, 267, 6434, 267, 10695, 267, 9032, 267, 1321, 267, 2641, 267, 4510, 2639, 453, 638, 6506, 677, 263, 6783, 267, 271, 267, 6352, 263, 6783, 9984, 272, 994, 13537, 263, 6783, 264, 0, 3698, 3193, 26371, 3287, 267, 586, 2187, 825, 952, 1535, 3436, 586, 912, 1038, 2132, 1535, 454, 825, 3116, 281, 3097, 1038, 2132, 586, 692, 2745, 263, 3193, 26371, 263, 278, 267, 476, 275, 4917, 2745, 28361, 333, 17210, 19399, 19399, 2162, 692, 3698, 568, 18425, 30415, 272, 267, 5569, 273, 2187, 825, 952, 5569, 272, 538, 5569, 273, 912, 1038, 2132, 6936, 454, 825, 8640, 5569, 273, 538, 5569, 272, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 2745, 263, 529, 18425, 3488, 311, 3299, 1412, 311, 312, 29125, 2745, 263, 529, 18425, 3488, 311, 312, 3299, 1412, 312, 29125, 2745, 263, 529, 18425, 3488, 311, 3299, 1412, 312, 29125, 2745, 28361, 333, 17210, 19399, 19399, 2162, 692, 258, 6206, 5320, 14803, 3701, 543, 4347, 5435, 18880, 454, 3698, 1820, 12173, 6600, 1009, 12173, 267, 2063, 12173, 267, 9258, 2187, 825, 952, 9258, 912, 1038, 1820, 10857, 770, 12173, 1341, 14307, 834, 1341, 1101, 12173, 994, 825, 3116, 912, 1038, 1820, 6600, 1009, 12173, 267, 2063, 12173, 2020, 2745, 12173, 3488, 30469, 8615, 3299, 1412, 303, 1276, 332, 1690, 518, 13960, 3299, 8771, 994, 2745, 12173, 3488, 30469, 8615, 3299, 1412, 303, 1276, 332, 1690, 518, 13960, 3299, 9258, 25716, 994, 2745, 12173, 3488, 30469, 8615, 3299, 2063, 12173, 8782, 303, 1276, 332, 1690, 518, 13960, 3299, 9258, 25716, 994, 2745, 12173, 10857, 770, 12173, 8782, 303, 1276, 332, 1690, 518, 13960, 3299, 1101, 12173, 8782, 30469, 8615, 3299, 9258, 815, 8771, 994, 258, 1739, 25001, 5470, 281, 3097, 258, 1820, 12173, 3488, 30469, 8615, 3299, 2063, 12173, 8782, 303, 1276, 332, 1690, 518, 13960, 3299, 8771, 994, 2745, 28361, 333, 17210, 19399, 19399, 2162, 692, 3698, 1820, 12173, 6600, 1009, 12173, 267, 2063, 12173, 267, 9258, 815, 8771, 2187, 825, 952, 9258, 912, 1038, 1820, 10857, 770, 12173, 1341, 14307, 834, 1341, 1101, 12173, 994, 825, 3116, 912, 1038, 1820, 6600, 1009, 12173, 267, 2063, 12173, 2020, 2745, 12173, 3488, 30469, 8615, 3299, 1412, 303, 1276, 332, 1690, 518, 13960, 5073, 2745, 12173, 3488, 30469, 8615, 3299, 1412, 303, 1276, 332, 1690, 518, 13960, 3299, 6936, 994, 2745, 12173, 3488, 30469, 8615, 3299, 1412, 303, 1276, 332, 1690, 518, 13960, 3299, 9258, 18989, 994, 2745, 28361, 333, 10807, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 2975, 13048, 3848, 476, 280, 1477, 288, 22217, 2065, 4985, 547, 16407, 6193, 29203, 1477, 287, 10461, 281, 12253, 808, 269, 966, 5028, 267, 1912, 6185, 23228, 18851, 1477, 258, 260, 260, 15154, 6168, 32492, 29203, 815, 13117, 7529, 4499, 2525, 284, 1477, 258, 1215, 1279, 786, 519, 1739, 1599, 1491, 547, 2196, 286, 1477, 3698, 535, 9217, 8029, 825, 5727, 10112, 6979, 1775, 568, 606, 703, 543, 1775, 13843, 476, 271, 18851, 1477, 825, 2626, 815, 476, 272, 1477, 825, 1247, 1775, 13843, 476, 272, 6769, 1038, 2626, 2608, 284, 1775, 1477, 1038, 1775, 20699, 476, 272, 1477, 825, 2132, 2626, 5897, 3698, 5276, 318, 14142, 27331, 267, 1535, 8029, 825, 585, 552, 538, 700, 6769, 1038, 952, 552, 2652, 1535, 6769, 2018, 2132, 6936, 1477, 825, 2132, 8771, 5897, 3698, 1249, 3799, 8029, 825, 5727, 10112, 6979, 562, 568, 513, 2067, 1297, 1477, 11434, 16849, 562, 256, 18851, 1477, 825, 2626, 815, 476, 272, 1477, 825, 1247, 562, 3436, 476, 272, 6769, 1038, 2626, 2608, 284, 562, 1477, 1038, 562, 20699, 476, 272, 1477, 825, 2132, 2626, 1477, 258, 1297, 540, 3268, 547, 2196, 713, 1982, 1249, 263, 4700, 568, 1945, 899, 1477, 258, 825, 476, 273, 2433, 476, 272, 585, 519, 3355, 7084, 3948, 543, 476, 272, 585, 519, 2132, 1477, 258, 1341, 476, 276, 333, 2433, 476, 272, 1900, 585, 519, 1449, 538, 1247, 476, 273, 3268, 585, 1142, 3651, 550, 5897, 3698, 4009, 318, 10174, 318, 1410, 9151, 633, 3287, 267, 552, 27432, 8029, 825, 5727, 10112, 6979, 1535, 543, 552, 27432, 616, 2318, 6083, 1846, 1299, 552, 27432, 2999, 476, 272, 1477, 11434, 16849, 513, 586, 971, 602, 586, 265, 344, 568, 1369, 552, 27432, 540, 1535, 18851, 1477, 825, 1900, 815, 552, 27432, 1262, 273, 1477, 825, 20735, 815, 476, 271, 269, 271, 1477, 825, 1247, 2612, 263, 753, 1262, 273, 910, 1535, 264, 13843, 552, 27432, 543, 20735, 265, 753, 10922, 1535, 6769, 1038, 20735, 6834, 1900, 1477, 825, 952, 20735, 265, 753, 3436, 1535, 6769, 1038, 6318, 28759, 1477, 825, 2132, 20735, 5897, 3698, 4009, 318, 10174, 10734, 529, 1254, 3287, 267, 552, 27432, 8029, 825, 5727, 10112, 6979, 1535, 543, 552, 27432, 616, 2318, 6083, 1846, 1299, 552, 27432, 2999, 476, 272, 1477, 11434, 16849, 513, 586, 971, 602, 586, 265, 344, 568, 1369, 552, 27432, 540, 1535, 18851, 1477, 825, 1970, 815, 476, 271, 269, 271, 1477, 825, 1164, 815, 3193, 263, 272, 269, 271, 267, 1535, 3418, 825, 20735, 815, 630, 14683, 1341, 1970, 264, 1315, 476, 273, 269, 271, 1477, 825, 1247, 2612, 263, 753, 1262, 273, 910, 1535, 264, 13843, 552, 27432, 6769, 1038, 952, 20735, 1262, 273, 2999, 1535, 6769, 2018, 1970, 815, 20735, 1477, 1038, 3116, 6769, 2018, 1164, 815, 20735, 1477, 1038, 20735, 815, 630, 14683, 1341, 1970, 264, 1315, 476, 273, 269, 271, 1477, 825, 2132, 20735, 5897, 258, 1401, 9151, 633, 21773, 3130, 568, 3500, 267, 3500, 2614, 547, 581, 791, 24411, 585, 1477, 258, 1082, 10659, 540, 1535, 543, 552, 27432, 269, 661, 3052, 269, 476, 1911, 267, 476, 271, 269, 1822, 272, 3340, 476, 272, 1477, 258, 5479, 23200, 267, 10199, 267, 585, 1247, 8520, 6466, 519, 20312, 1254, 1477, 258, 5690, 3340, 827, 476, 736, 540, 513, 5594, 811, 1950, 8520, 269, 5897, 258, 260, 260, 1306, 2096, 696, 5328, 3502, 566, 815, 25275, 13117, 2525, 284, 1477, 3698, 575, 3287, 8029, 825, 5727, 10112, 6979, 1535, 568, 606, 703, 3436, 476, 271, 18851, 1477, 825, 20735, 815, 476, 271, 1477, 825, 1948, 31230, 602, 3217, 3586, 942, 1477, 825, 585, 1775, 538, 2039, 263, 1911, 271, 8029, 1038, 20735, 6834, 476, 272, 1477, 825, 1820, 3488, 10831, 540, 23937, 865, 2484, 3299, 20735, 3418, 825, 1948, 31230, 602, 3217, 942, 1535, 1477, 825, 585, 1775, 538, 2039, 3287, 8029, 1038, 20735, 6834, 476, 272, 1477, 825, 1820, 3488, 10831, 540, 23937, 865, 2484, 3299, 20735, 3418, 825, 1948, 715, 6479, 17787, 1491, 942, 1535, 1262, 273, 1477, 825, 585, 1775, 538, 2039, 3287, 8029, 1038, 585, 795, 538, 2039, 3287, 8029, 2018, 20735, 6834, 476, 272, 1477, 2018, 20735, 6834, 476, 272, 1477, 825, 1820, 3488, 10831, 540, 23937, 865, 2484, 3299, 20735, 3418, 825, 2132, 20735, 1477, 258, 26121, 942, 815, 476, 1911, 271, 1341, 1535, 1341, 476, 273, 20080, 1262, 273, 952, 1142, 1899, 540, 3009, 3217, 835, 1770, 1477, 258, 540, 942, 1477, 326, 263, 1015, 3418, 326, 263, 1911, 271, 10142, 258, 260, 260, 2368, 12830, 29203, 26643, 815, 25275, 4499, 284, 1477, 258, 562, 815, 1412, 21653, 262, 540, 11378, 547, 519, 1599, 1477, 258, 744, 263, 272, 264, 16875, 815, 3586, 4881, 942, 1477, 258, 744, 263, 8421, 562, 264, 8587, 815, 32568, 4881, 942, 1477, 258, 744, 3799, 264, 16875, 815, 5276, 4881, 942, 1477, 258, 744, 3799, 2845, 562, 264, 825, 815, 2845, 31059, 4881, 942, 1477, 258, 744, 3799, 317, 330, 264, 1038, 815, 9971, 4881, 942, 267, 737, 568, 3586, 1477, 258, 744, 6262, 18898, 264, 1038, 815, 12825, 4881, 942, 267, 524, 568, 3586, 5897, 258, 19693, 29203, 21506, 258, 1306, 2096, 653, 339, 5328, 6988, 568, 4830, 540, 519, 2450, 540, 11378, 23228, 258, 19693, 4881, 942, 1281, 711, 17538, 972, 616, 1100, 17787, 610, 25276, 1477, 258, 7125, 538, 3009, 267, 1175, 602, 519, 1297, 540, 23200, 610, 7125, 1477, 258, 568, 4830, 540, 519, 2450, 540, 519, 11378, 269, 5897, 258, 8298, 15162, 6193, 29203, 1477, 258, 29203, 9428, 607, 519, 2845, 540, 693, 2547, 835, 540, 519, 11378, 23228, 258, 661, 3052, 269, 9352, 3406, 4988, 538, 1985, 3184, 23228, 3698, 703, 15461, 23919, 9217, 8029, 825, 5727, 10112, 6979, 1775, 568, 513, 1875, 17463, 703, 1477, 11434, 16849, 513, 8918, 5569, 6041, 540, 1775, 18851, 1477, 825, 9704, 815, 1412, 23713, 24833, 277, 4281, 280, 262, 1477, 825, 952, 1775, 2652, 476, 271, 6769, 1038, 2132, 1412, 271, 262, 1477, 825, 1267, 815, 15234, 1477, 825, 1247, 1775, 3436, 476, 271, 6769, 1038, 1267, 815, 9704, 5157, 260, 1015, 316, 1341, 1267, 1477, 1038, 1775, 815, 1775, 12262, 476, 1015, 1477, 825, 2132, 1267, 5897, 842, 15461, 23919, 263, 15836, 4391, 275, 280, 10142, 3698, 1039, 5091, 580, 1080, 3799, 8029, 825, 5727, 10112, 6979, 562, 568, 513, 1875, 17463, 703, 1477, 11434, 16849, 519, 2040, 540, 519, 9704, 538, 562, 18851, 1477, 825, 5569, 318, 10517, 815, 703, 15461, 23919, 3799, 3418, 825, 1130, 815, 476, 271, 1477, 825, 585, 524, 538, 5569, 318, 10517, 6769, 1038, 1130, 6834, 703, 6262, 3418, 825, 2132, 1130, 5897, 5417, 5091, 580, 1080, 263, 15836, 4391, 275, 280, 10142, 258, 12430, 29203, 1477, 258, 3509, 6620, 602, 4308, 609, 8638, 610, 9696, 616, 5276, 23228, 258, 1358, 5905, 1142, 3693, 540, 519, 5311, 513, 3586, 1297, 540, 2053, 269, 5897, 3698, 1039, 5091, 580, 1080, 318, 15035, 4433, 8029, 825, 5727, 10112, 6979, 521, 568, 513, 1193, 1142, 1915, 540, 799, 568, 513, 8918, 1477, 11434, 7857, 269, 16849, 606, 703, 602, 568, 519, 2040, 540, 519, 9704, 538, 521, 27969, 1477, 825, 1130, 815, 476, 271, 1477, 825, 585, 524, 538, 521, 6769, 1038, 1130, 6834, 703, 6262, 3418, 825, 2132, 1130, 5897, 3698, 27353, 3287, 8029, 825, 5727, 10112, 6979, 602, 1535, 568, 513, 2022, 633, 703, 1477, 11434, 16849, 1535, 256, 18851, 1477, 825, 952, 1535, 2652, 476, 272, 6769, 1038, 2132, 476, 272, 1477, 825, 3116, 6769, 1038, 2132, 1535, 2608, 27353, 3287, 910, 476, 272, 10142, 258, 8298, 6441, 710, 541, 29203, 1477, 258, 8585, 613, 4990, 5690, 568, 606, 1383, 543, 6743, 693, 538, 1985, 3184, 269, 5897, 258, 27155, 29203, 1477, 258, 4107, 1455, 9971, 6620, 616, 13392, 23228, 3698, 568, 5334, 889, 3553, 27331, 272, 267, 700, 273, 8029, 825, 5727, 10112, 6979, 700, 272, 543, 700, 273, 616, 8638, 23228, 11434, 16849, 6936, 952, 1142, 3693, 538, 700, 272, 568, 849, 538, 700, 273, 1477, 11434, 543, 8771, 6382, 27969, 1477, 825, 585, 552, 272, 538, 700, 272, 6769, 1038, 20083, 815, 8771, 1477, 1038, 585, 552, 273, 538, 700, 273, 6769, 2018, 952, 552, 272, 2652, 552, 273, 6769, 3546, 20083, 815, 6936, 1477, 3546, 2736, 1477, 1038, 952, 711, 20083, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 1477, 258, 6988, 540, 568, 5334, 889, 3553, 568, 744, 12759, 27331, 272, 12684, 299, 523, 27331, 273, 264, 10142, 3698, 12969, 27331, 272, 267, 700, 273, 8029, 825, 5727, 10112, 6979, 281, 700, 272, 543, 700, 273, 616, 8638, 1477, 11434, 16849, 513, 1592, 1510, 5918, 27289, 602, 568, 519, 10167, 1477, 11434, 540, 700, 272, 543, 700, 273, 18851, 1477, 11434, 1948, 12706, 513, 1592, 5627, 1455, 2609, 1477, 825, 31575, 815, 1496, 15947, 825, 585, 552, 272, 538, 700, 272, 6769, 1038, 585, 552, 273, 538, 700, 273, 6769, 19930, 952, 552, 272, 2652, 552, 273, 6769, 25639, 31575, 6910, 16216, 272, 3418, 25639, 2736, 1477, 825, 1948, 12706, 513, 1592, 1510, 5918, 27289, 1477, 825, 1267, 815, 1496, 15947, 825, 585, 552, 538, 31575, 6769, 1038, 952, 552, 711, 538, 1267, 6769, 2018, 1267, 6910, 16216, 3418, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 6525, 543, 3230, 289, 284, 1422, 335, 9795, 346, 271, 1299, 476, 272, 8607, 476, 272, 1299, 476, 271, 6525, 269, 3973, 267, 1101, 649, 666, 9062, 543, 3693, 609, 3294, 2394, 649, 1205, 3961, 5119, 3230, 296, 21974, 1280, 3230, 289, 18079, 649, 723, 3230, 289, 317, 273, 815, 594, 21974, 1280, 3230, 288, 18079, 649, 723, 3230, 288, 317, 273, 815, 1422, 335, 9795, 24877, 272, 1299, 476, 271, 8607, 476, 271, 1299, 910, 272, 6525, 865, 3230, 288, 317, 273, 1422, 514, 670, 21974, 3973, 267, 3230, 288, 317, 274, 815, 1422, 335, 9795, 346, 271, 1299, 910, 272, 8607, 476, 272, 1299, 476, 271, 6525, 865, 3230, 288, 317, 274, 1422, 514, 670, 21974, 3973, 267, 3230, 288, 317, 275, 815, 594, 21974, 3767, 267, 649, 991, 547, 2638, 3230, 5723, 18079, 3230, 288, 317, 273, 289, 267, 589, 317, 274, 289, 21974, 2052, 596, 1491, 621, 689, 1934, 2496, 9616, 602, 713, 5650, 2501, 689, 519, 19479, 540, 2516, 780, 1892, 11289, 596, 585, 713, 267, 713, 2306, 2631, 267, 855, 594, 6415, 2965, 2386, 950, 547, 834, 17380, 257, 610, 547, 29311, 602, 649, 834, 852, 723, 513, 1895, 2668, 14348, 596, 723, 803, 798, 713, 538, 513, 3349, 2394, 1169, 1587, 568, 6806, 286, 1107, 1109, 12528, 276, 2537, 29575, 9947, 476, 1015, 1412, 866, 693, 476, 271, 281, 5881, 454, 1892, 1703, 616, 513, 1906, 1919, 547, 4063, 1934, 281, 476, 272, 269, 1269, 288, 259, 568, 28023, 267, 2495, 602, 1269, 288, 317, 330, 284, 296, 259, 585, 930, 2067, 1269, 330, 10608, 1924, 519, 538, 951, 525, 540, 7060, 540, 1269, 288, 259, 616, 7060, 540, 1269, 288, 8961, 865, 596, 21645, 991, 547, 18287, 10663, 873, 676, 1688, 269, 476, 273, 269, 1269, 289, 317, 273, 284, 296, 8961, 865, 519, 11201, 540, 2161, 1269, 5723, 259, 786, 581, 1269, 10621, 3867, 330, 268, 272, 20954, 849, 1100, 991, 547, 1265, 873, 676, 1688, 269, 8921, 596, 1175, 798, 1269, 288, 267, 589, 317, 273, 267, 589, 317, 274, 267, 589, 317, 275, 8961, 1287, 1269, 10621, 267, 9474, 267, 589, 317, 273, 289, 267, 22601, 317, 273, 267, 9474, 288, 267, 645, 5723, 267, 589, 317, 274, 289, 267, 22601, 317, 274, 259, 543, 1934, 649, 5469, 1945, 907, 1107, 1109, 573, 548, 22301, 9947, 476, 1015, 1412, 866, 693, 476, 271, 281, 1428, 454, 1892, 8786, 267, 645, 2529, 9774, 11943, 621, 2965, 269, 1107, 1109, 288, 3464, 523, 289, 17064, 9947, 476, 1015, 1412, 866, 693, 476, 271, 281, 2537, 454, 1892, 6496, 630, 9474, 815, 910, 10621, 3738, 4217, 538, 1022, 1259, 286, 1107, 1109, 12528, 276, 2537, 29575, 9947, 476, 1015, 1412, 866, 693, 476, 271, 281, 3066, 454, 1892, 1411, 666, 2328, 1269, 268, 259, 607, 1269, 268, 296, 8961, 799, 568, 2965, 1269, 288, 317, 273, 10608, 1924, 649, 2965, 723, 1269, 5723, 815, 589, 317, 273, 10621, 10608, 1411, 616, 593, 519, 1318, 3950, 269, 1107, 1109, 288, 3464, 523, 289, 17064, 9947, 476, 1015, 1412, 866, 693, 476, 271, 281, 1789, 0, 258, 18200, 16372, 19693, 18185, 692, 531, 1529, 908, 519, 18200, 16372, 19693, 269, 1677, 5173, 519, 20251, 3586, 267, 649, 1131, 2698, 519, 10865, 11033, 585, 519, 20251, 585, 835, 1032, 543, 563, 10403, 18200, 16372, 18185, 6732, 1107, 12433, 18200, 16372, 9796, 906, 2060, 3776, 11822, 269, 589, 6378, 1719, 2557, 568, 513, 10211, 602, 814, 513, 3586, 1719, 2557, 602, 3085, 1406, 563, 300, 677, 16372, 3586, 267, 849, 1572, 968, 332, 677, 16372, 3854, 1436, 2557, 5608, 568, 519, 3854, 1436, 2557, 585, 7963, 269, 16754, 269, 700, 522, 513, 562, 595, 522, 562, 521, 512, 513, 562, 512, 815, 630, 1775, 1315, 544, 3738, 1315, 630, 476, 272, 6567, 630, 476, 272, 1315, 630, 476, 272, 1341, 630, 1775, 563, 2467, 616, 1079, 4122, 1031, 2409, 547, 5173, 519, 20251, 3586, 269, 634, 1101, 3274, 17337, 5993, 7963, 3028, 676, 519, 2698, 10211, 2179, 563, 14112, 2626, 269, 2659, 6310, 4542, 666, 581, 14661, 676, 12270, 676, 630, 272, 1341, 9314, 15580, 270, 1321, 264, 2073, 1775, 4318, 269, 32124, 19693, 815, 630, 271, 269, 271, 3393, 4792, 270, 1321, 19422, 272, 1107, 630, 272, 14370, 272, 1341, 563, 17746, 656, 815, 476, 1321, 2608, 1775, 1315, 630, 272, 1107, 630, 272, 1315, 630, 272, 1341, 1775, 264, 9745, 562, 4297, 1141, 281, 1775, 815, 5993, 20251, 1719, 2557, 5258, 676, 476, 1321, 562, 815, 2165, 540, 10211, 538, 3275, 634, 16316, 18200, 16372, 19693, 585, 513, 10211, 563, 2304, 993, 677, 1436, 8430, 786, 6166, 707, 9273, 593, 519, 20251, 3586, 269, 5153, 269, 3503, 1524, 519, 1739, 4542, 281, 14330, 815, 1719, 2557, 1315, 1496, 476, 272, 910, 563, 8368, 2982, 5993, 10211, 3586, 2600, 585, 513, 10211, 609, 10865, 1377, 7963, 3028, 10211, 11033, 269, 7151, 281, 8096, 272, 267, 1822, 267, 1822, 10211, 267, 476, 277, 260, 1719, 2557, 267, 476, 1789, 1032, 563, 763, 10211, 3586, 267, 849, 1634, 607, 519, 20251, 3586, 267, 568, 519, 9819, 540, 519, 2078, 1063, 7963, 3028, 543, 10211, 2179, 593, 513, 6378, 563, 300, 677, 16372, 19693, 7151, 269, 14597, 513, 20251, 568, 585, 513, 2165, 540, 476, 1789, 1296, 693, 513, 2557, 540, 476, 276, 260, 1547, 0, 258, 6323, 910, 27460, 692, 14006, 539, 676, 16317, 4407, 4881, 267, 513, 1268, 26632, 919, 827, 476, 271, 269, 2568, 808, 540, 7344, 1648, 829, 1900, 829, 11304, 540, 1560, 2527, 269, 1403, 513, 476, 2568, 4846, 1268, 10953, 513, 1379, 540, 476, 4281, 654, 1282, 513, 5198, 267, 875, 3728, 568, 519, 1268, 4881, 286, 630, 10112, 2541, 513, 4881, 1900, 568, 476, 272, 269, 276, 544, 1279, 24355, 1892, 6323, 910, 27460, 910, 692, 269, 277, 795, 14370, 21163, 4846, 264, 2608, 2568, 4846, 815, 476, 3607, 795, 270, 21163, 692, 3607, 795, 270, 21163, 2608, 272, 1900, 270, 272, 269, 276, 544, 815, 476, 2190, 808, 8276, 692, 2190, 808, 8276, 2608, 642, 544, 4882, 815, 476, 2190, 642, 808, 4882, 610, 476, 2190, 642, 26334, 692, 2190, 642, 26334, 815, 476, 4281, 26334, 454, 341, 815, 476, 4281, 270, 2190, 815, 476, 274, 269, 1839, 7397, 270, 16149, 692, 1892, 6323, 910, 27460, 910, 692, 327, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 1695, 21036, 692, 1892, 6323, 910, 27460, 910, 692, 275, 303, 12195, 3374, 476, 275, 305, 274, 674, 271, 305, 715, 876, 289, 276, 692, 1892, 6323, 910, 27460, 910, 692, 275, 303, 12195, 3374, 476, 275, 305, 274, 674, 271, 305, 715, 25484, 276, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 8212, 692, 4407, 4881, 267, 513, 1268, 26632, 919, 827, 476, 271, 269, 277, 808, 540, 7344, 1648, 829, 1900, 829, 11304, 540, 1560, 2527, 269, 1403, 513, 476, 2568, 10275, 326, 1268, 8255, 609, 513, 1379, 540, 476, 3583, 20242, 1206, 1282, 513, 5198, 267, 875, 3728, 568, 519, 1268, 4881, 888, 273, 269, 12693, 8212, 476, 9340, 692, 4407, 4881, 267, 513, 1268, 26632, 919, 827, 476, 271, 269, 2568, 808, 540, 7344, 1648, 829, 1900, 829, 11304, 540, 1560, 2527, 269, 1403, 513, 476, 7830, 4846, 1268, 10953, 513, 1379, 540, 476, 6858, 654, 1282, 513, 5198, 267, 875, 3728, 568, 519, 1268, 4881, 888, 274, 269, 12693, 6323, 692, 305, 7342, 693, 476, 273, 269, 271, 544, 4882, 513, 476, 3393, 269, 271, 4846, 1268, 2458, 1938, 609, 513, 476, 3445, 269, 271, 4846, 1268, 945, 568, 10707, 693, 476, 278, 269, 271, 544, 4882, 538, 519, 824, 4287, 269, 16270, 16580, 267, 519, 476, 3445, 4846, 1268, 5170, 547, 2951, 4464, 693, 476, 272, 269, 271, 544, 4882, 269, 1215, 3728, 568, 519, 476, 3393, 4846, 1268, 5679, 18088, 23651, 888, 275, 269, 12693, 8212, 692, 288, 1268, 27499, 476, 7742, 271, 737, 5632, 27473, 1247, 9750, 476, 12573, 271, 737, 5632, 27473, 269, 769, 513, 3275, 262, 942, 267, 827, 875, 1454, 2597, 1131, 713, 1268, 6336, 952, 519, 2530, 941, 9247, 782, 689, 1560, 3170, 888, 276, 269, 12693, 8212, 692, 4407, 4881, 267, 513, 1268, 26632, 919, 827, 476, 271, 269, 2568, 808, 540, 7344, 1648, 829, 1900, 829, 11304, 540, 1560, 2527, 269, 1403, 513, 476, 8618, 10275, 326, 1268, 10953, 513, 1379, 540, 476, 4037, 654, 1282, 513, 5198, 267, 875, 3728, 568, 519, 1268, 4881, 888, 277, 269, 12693, 11682, 22076, 12903, 256, 2439, 5416, 264, 14597, 476, 1015, 20691, 616, 2366, 547, 9370, 543, 1287, 1394, 547, 3047, 269, 634, 3328, 1379, 6165, 540, 1142, 16106, 568, 476, 1015, 267, 1822, 267, 1822, 795, 537, 956, 829, 1554, 269, 1548, 568, 519, 3328, 1379, 6165, 540, 1142, 16106, 538, 26334, 543, 7504, 12741, 888, 278, 269, 12693, 11682, 22076, 12903, 670, 5085, 303, 256, 2439, 5416, 264, 14597, 476, 1015, 20691, 616, 2366, 547, 9370, 543, 1287, 1394, 547, 3047, 269, 634, 3328, 1379, 6165, 540, 1142, 16106, 568, 476, 1015, 267, 1822, 267, 1822, 795, 537, 956, 829, 1554, 269, 1548, 568, 519, 3328, 1379, 6165, 540, 1142, 16106, 538, 26334, 543, 7504, 12741, 888, 279, 269, 12693, 8212, 692, 1103, 519, 4437, 32441, 543, 8447, 7070, 2679, 693, 9049, 308, 972, 616, 476, 13670, 3268, 689, 519, 2666, 6989, 547, 519, 15795, 6989, 269, 3962, 1900, 568, 476, 1626, 269, 271, 4699, 7381, 269, 898, 3217, 476, 276, 3764, 543, 476, 2412, 7643, 585, 513, 1268, 609, 513, 2527, 540, 476, 8287, 269, 280, 4846, 547, 3802, 782, 519, 6693, 280, 269, 12693, 8212, 692, 1103, 519, 4437, 32441, 543, 8447, 7070, 2679, 693, 9049, 308, 972, 616, 476, 13670, 3268, 689, 519, 2666, 6989, 547, 519, 15795, 6989, 269, 3962, 1900, 568, 476, 1626, 269, 271, 4699, 7381, 269, 898, 3217, 476, 276, 3764, 543, 476, 2412, 7643, 585, 513, 1268, 609, 513, 2527, 540, 476, 8287, 269, 280, 4846, 547, 3802, 782, 519, 6693, 1015, 269, 12693, 8212, 692, 288, 476, 2568, 4846, 1268, 18252, 1648, 693, 476, 271, 269, 1839, 7504, 12741, 1247, 4881, 909, 519, 24383, 540, 513, 2679, 269, 3962, 1900, 568, 476, 736, 4699, 3810, 269, 1215, 1454, 960, 1281, 519, 1268, 798, 538, 835, 8792, 2496, 5415, 5381, 5999, 0, 327, 21036, 1862, 1659, 267, 620, 3455, 3630, 476, 272, 538, 476, 278, 628, 3446, 568, 4440, 2352, 2614, 692, 273, 270, 273, 284, 272, 692, 314, 23753, 316, 6912, 272, 284, 272, 22535, 23753, 6540, 272, 265, 271, 284, 271, 692, 271, 266, 2004, 265, 279, 284, 6110, 692, 6110, 1341, 476, 4510, 815, 476, 29900, 692, 314, 23753, 316, 29900, 268, 6110, 284, 4510, 22535, 23753, 6540, 4510, 270, 275, 284, 1556, 692, 1556, 270, 273, 322, 284, 1724, 269, 276, 454, 322, 284, 274, 692, 327, 7795, 907, 875, 1281, 602, 960, 286, 1772, 519, 16105, 630, 1556, 270, 273, 264, 2608, 476, 274, 286, 536, 11305, 602, 1131, 581, 476, 1626, 269, 276, 692, 7775, 568, 621, 476, 1556, 14370, 273, 265, 274, 21663, 645, 11305, 602, 1131, 581, 476, 272, 269, 279, 3451, 692, 1724, 269, 276, 1341, 476, 274, 815, 476, 1626, 269, 276, 692, 3901, 3012, 673, 5470, 1058, 711, 581, 2015, 692, 1556, 270, 273, 322, 284, 1724, 269, 276, 454, 322, 284, 274, 692, 527, 568, 815, 476, 272, 269, 279, 3451, 267, 2687, 547, 11022, 3008, 543, 6310, 3830, 780, 1415, 3118, 1862, 2280, 781, 3136, 692, 1626, 269, 276, 265, 271, 284, 271, 692, 271, 1341, 476, 5780, 1341, 476, 274, 815, 476, 7597, 263, 1721, 9765, 7597, 2020, 273, 266, 274, 266, 275, 266, 276, 284, 1691, 692, 1691, 266, 277, 284, 736, 692, 736, 1341, 476, 5379, 815, 476, 5780, 692, 5379, 266, 275, 284, 2004, 692, 314, 23753, 316, 2004, 266, 2004, 284, 1911, 22535, 23753, 6540, 1911, 23444, 274, 268, 273, 328, 7565, 274, 266, 273, 328, 264, 815, 476, 13647, 692, 13647, 268, 1724, 284, 1911, 692, 263, 476, 1911, 1315, 476, 1911, 3738, 2608, 476, 1911, 815, 476, 1911, 692, 338, 336, 337, 3597, 476, 1911, 815, 476, 1015, 692, 323, 2632, 723, 4009, 3597, 3090, 2433, 263, 692, 1015, 1341, 476, 6321, 815, 476, 5780, 692, 5780, 266, 4097, 284, 1911, 692, 314, 23753, 316, 1911, 266, 2641, 284, 13199, 22535, 23753, 6540, 13199, 268, 2641, 284, 1911, 692, 314, 23753, 316, 6912, 1911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5723, 27345, 25663, 2752, 13673, 2207, 294, 312, 454, 295, 8582, 25663, 2752, 20219, 23727, 20796, 16775, 454, 23530, 1379, 1949, 5631, 5161, 540, 3859, 8440, 543, 28860, 269, 9891, 8440, 6460, 3859, 5982, 883, 6034, 7351, 630, 17584, 264, 799, 1287, 8928, 883, 606, 28860, 269, 634, 28860, 17838, 713, 9823, 883, 10201, 908, 7351, 630, 3722, 264, 799, 666, 581, 1031, 538, 1753, 269, 7102, 30694, 5201, 6383, 1282, 519, 1554, 942, 568, 10480, 883, 519, 7470, 563, 7437, 519, 8549, 6554, 779, 9891, 15894, 30868, 596, 666, 1992, 5215, 540, 9489, 607, 10958, 547, 6718, 513, 1007, 14346, 1062, 269, 1411, 1287, 1205, 6976, 585, 1022, 4430, 5201, 596, 13143, 547, 519, 7470, 563, 23530, 14346, 1949, 616, 2356, 15951, 538, 2474, 540, 4893, 578, 30476, 630, 298, 310, 264, 799, 568, 519, 2048, 701, 752, 685, 4390, 540, 519, 8440, 1031, 538, 519, 1062, 269, 19402, 476, 1001, 279, 267, 519, 1034, 1455, 10821, 1062, 729, 476, 274, 737, 310, 269, 1452, 2395, 267, 476, 277, 269, 277, 737, 310, 1949, 723, 1831, 519, 3044, 269, 589, 476, 277, 269, 277, 737, 310, 1062, 799, 7472, 513, 3232, 3328, 540, 476, 2764, 4559, 666, 2759, 1524, 707, 5201, 3790, 543, 7118, 596, 9806, 540, 4114, 269, 1269, 276, 27473, 269, 1411, 666, 4688, 1256, 811, 676, 1210, 1648, 14021, 14233, 899, 3819, 619, 267, 11067, 6191, 267, 3092, 1152, 1282, 519, 1554, 942, 267, 950, 707, 3859, 1062, 568, 4881, 543, 568, 6721, 4430, 5201, 269, 1452, 9806, 786, 9090, 4096, 593, 519, 12405, 269, 0, 305, 24655, 1434, 4605, 3502, 1397, 454, 272, 264, 589, 3109, 12704, 24363, 1524, 543, 829, 3481, 593, 519, 1612, 777, 564, 3544, 1010, 6885, 563, 273, 264, 1261, 729, 711, 5423, 547, 2322, 1010, 2212, 1657, 519, 1612, 777, 564, 543, 2161, 1018, 646, 2731, 2219, 4586, 274, 264, 1358, 669, 26786, 519, 890, 778, 10007, 936, 519, 1612, 777, 564, 865, 602, 890, 778, 4054, 1131, 1332, 538, 519, 4677, 1985, 1032, 543, 9983, 3025, 563, 275, 264, 634, 8115, 21269, 519, 1216, 322, 6847, 27312, 689, 3213, 790, 631, 327, 545, 12321, 340, 559, 538, 513, 1360, 10694, 4259, 267, 1134, 2938, 689, 519, 1612, 777, 564, 563, 276, 264, 3509, 540, 519, 4587, 5108, 538, 519, 5045, 5747, 282, 1082, 723, 32164, 3603, 282, 519, 1964, 1832, 741, 9843, 2630, 519, 1612, 777, 564, 563, 277, 264, 3474, 777, 1115, 7930, 8057, 2539, 543, 2539, 2394, 519, 29503, 2968, 2370, 4514, 982, 513, 4155, 2515, 546, 3558, 563, 278, 264, 853, 1737, 3539, 5128, 267, 646, 1500, 1010, 1259, 936, 519, 8122, 543, 593, 547, 519, 1612, 777, 564, 602, 10443, 2059, 519, 2427, 540, 519, 2679, 563, 279, 264, 4329, 7387, 532, 1185, 3361, 25096, 538, 519, 29503, 543, 1185, 10032, 519, 1612, 777, 564, 936, 513, 3259, 540, 15823, 18126, 563, 280, 264, 670, 4474, 936, 1612, 777, 1115, 543, 856, 540, 9486, 267, 24159, 538, 519, 10754, 543, 593, 519, 31241, 3591, 267, 314, 10674, 2517, 338, 550, 10642, 1112, 2593, 270, 1706, 777, 9643, 11258, 316, 519, 15624, 627, 626, 1194, 543, 3365, 7596, 539, 563, 1015, 264, 6904, 814, 513, 6366, 8122, 3297, 513, 1612, 777, 564, 865, 596, 666, 1405, 1294, 621, 689, 519, 8265, 563, 1556, 264, 631, 578, 321, 2001, 9292, 3072, 2059, 519, 1612, 777, 564, 269, 769, 519, 4158, 646, 1131, 711, 1294, 519, 21677, 563, 1321, 264, 717, 12584, 941, 2196, 909, 2673, 547, 519, 1612, 777, 564, 267, 543, 5595, 10997, 540, 666, 3563, 5129, 741, 851, 538, 519, 26481, 960, 563, 1724, 264, 623, 15607, 976, 972, 593, 519, 1612, 777, 564, 6587, 267, 2695, 13741, 1782, 267, 795, 739, 1782, 585, 2990, 563, 1691, 264, 2368, 838, 541, 4900, 22983, 602, 7834, 267, 15385, 689, 1612, 777, 564, 7841, 547, 11381, 547, 8768, 8685, 563, 1428, 264, 594, 1577, 979, 513, 5761, 995, 540, 2011, 267, 1793, 22981, 1394, 1996, 519, 1612, 777, 564, 543, 1396, 1776, 7167, 16330, 563, 1626, 264, 634, 5595, 11546, 14982, 1159, 14414, 998, 513, 20545, 543, 8694, 909, 829, 3481, 3348, 926, 3585, 593, 513, 8115, 1612, 777, 564, 693, 5696, 662, 1787, 267, 4639, 31920, 563, 1704, 264, 2274, 22135, 936, 519, 1612, 777, 564, 547, 4585, 519, 1762, 1973, 338, 538, 519, 5757, 838, 745, 1424, 909, 741, 9640, 585, 519, 4023, 563, 1240, 264, 631, 4115, 10709, 539, 936, 519, 1612, 777, 564, 282, 519, 4764, 267, 799, 1869, 1792, 3139, 1524, 267, 729, 16618, 607, 1352, 14478, 1864, 6385, 14897, 563, 866, 264, 1703, 568, 513, 1612, 777, 564, 2059, 519, 8122, 540, 713, 3791, 3774, 267, 609, 2185, 18959, 518, 9486, 3564, 621, 563, 736, 264, 2368, 835, 729, 7555, 593, 519, 1612, 777, 564, 267, 10709, 532, 936, 543, 3168, 1524, 563, 5415, 2147, 1913, 281, 1612, 777, 564, 267, 1612, 777, 4100, 529, 267, 1085, 7275, 998, 267, 24095, 539, 267, 4608, 541, 7065, 539, 267, 8984, 9936, 267, 1612, 659, 8541, 267, 15237, 6306, 267, 5037, 267, 9936, 267, 1612, 777, 5586, 807, 267, 22950, 19189, 267, 1612, 777, 5586, 545, 267, 1016, 1706, 4588, 267, 5037, 545, 267, 856, 9936, 267, 22950, 337, 2084, 267, 5037, 532, 267, 1612, 777, 615, 2522, 807, 267, 1883, 9936, 267, 9936, 1125, 267, 9936, 1305, 267, 9674, 267, 13214, 9936, 267, 1826, 9936, 267, 9936, 1242, 267, 9936, 1592, 267, 9936, 1826, 267, 1612, 777, 2134, 1108, 267, 2203, 9936, 269, 0, 763, 3483, 540, 8770, 2359, 568, 547, 1683, 6190, 5567, 585, 7693, 2504, 543, 2327, 606, 2804, 3210, 267, 1247, 10893, 1055, 21935, 9271, 540, 891, 5567, 269, 634, 989, 1258, 5669, 543, 2825, 6859, 616, 1558, 676, 1818, 519, 1034, 946, 856, 540, 2139, 5567, 269, 7454, 946, 568, 12913, 676, 7311, 782, 5567, 693, 519, 19993, 2557, 267, 1747, 267, 942, 543, 1106, 585, 7693, 13345, 269, 901, 3340, 6297, 8051, 540, 8770, 3156, 547, 11126, 519, 989, 1258, 5669, 946, 543, 7413, 1055, 21935, 9271, 563, 1692, 6496, 901, 6657, 4518, 888, 6624, 2188, 1860, 7693, 6556, 282, 5567, 616, 1152, 835, 3815, 267, 855, 621, 568, 2565, 547, 3313, 8770, 3498, 3928, 998, 3037, 4152, 269, 14606, 1449, 2164, 786, 2285, 596, 519, 3617, 8770, 3498, 3928, 585, 782, 5567, 543, 18654, 269, 769, 930, 2829, 267, 3037, 1449, 2164, 666, 849, 581, 1031, 585, 9436, 7840, 267, 6466, 538, 824, 2829, 789, 3112, 269, 5637, 1857, 543, 4357, 22475, 666, 3761, 3037, 1449, 2164, 269, 6153, 3037, 10386, 568, 693, 519, 2295, 540, 513, 6325, 3037, 1449, 269, 3689, 267, 946, 707, 3037, 1449, 1867, 547, 2327, 602, 519, 3037, 9063, 568, 538, 606, 7850, 2039, 269, 1403, 519, 3037, 9063, 568, 1932, 1164, 610, 1932, 1970, 267, 621, 786, 2569, 519, 7693, 779, 2702, 547, 946, 623, 543, 824, 5567, 7561, 269, 17797, 532, 519, 3037, 9063, 547, 519, 989, 1258, 5669, 19993, 2039, 609, 18654, 568, 4061, 1271, 269, 1403, 513, 3037, 1449, 6920, 623, 568, 2877, 267, 1287, 519, 3037, 1449, 1867, 786, 1331, 519, 3617, 2557, 540, 13226, 623, 547, 4019, 269, 769, 930, 2829, 267, 25690, 2157, 540, 623, 630, 32191, 476, 736, 7273, 623, 273, 302, 276, 829, 23505, 264, 616, 5227, 585, 930, 7031, 1256, 952, 3037, 1449, 2164, 5815, 6190, 2157, 540, 3037, 623, 269, 6744, 609, 707, 1533, 779, 22362, 6796, 547, 3313, 952, 25690, 623, 568, 5227, 563, 2791, 786, 849, 991, 547, 3313, 623, 13307, 607, 596, 666, 13739, 267, 546, 1026, 1076, 267, 610, 6512, 621, 269, 6884, 13307, 786, 4096, 593, 519, 1106, 543, 1826, 540, 13226, 610, 5214, 1570, 596, 616, 1210, 267, 607, 1134, 607, 519, 5186, 6137, 1062, 269, 1280, 3236, 267, 2156, 8814, 16445, 4294, 547, 513, 27892, 786, 581, 13739, 269, 634, 1034, 3608, 13307, 540, 519, 623, 786, 4096, 593, 606, 5872, 540, 2916, 267, 3037, 543, 7693, 269, 3194, 593, 5010, 623, 2959, 3006, 2982, 513, 3017, 538, 7693, 3210, 547, 623, 1759, 593, 13307, 543, 3006, 1281, 711, 269, 13555, 707, 1533, 779, 22362, 6796, 610, 22340, 9539, 305, 5425, 5604, 585, 519, 5227, 13307, 563, 301, 527, 4088, 267, 16903, 267, 543, 11379, 3029, 666, 2901, 581, 5214, 610, 22803, 543, 1369, 1142, 2101, 7121, 972, 616, 2789, 3029, 269, 1280, 3236, 267, 5214, 2326, 666, 581, 11003, 267, 2220, 710, 2498, 23308, 267, 2156, 8814, 16445, 3092, 269, 634, 1826, 540, 5214, 1570, 11887, 711, 1152, 519, 8770, 1543, 855, 849, 922, 32610, 269, 20497, 18168, 2097, 607, 6566, 12089, 9344, 1759, 593, 741, 6871, 715, 6261, 273, 302, 276, 11860, 273, 302, 630, 324, 3052, 269, 1019, 2459, 28016, 19552, 1107, 476, 1240, 268, 5379, 268, 271, 1070, 7833, 24025, 630, 324, 3052, 269, 476, 1015, 268, 1015, 268, 1015, 264, 610, 13557, 11100, 630, 325, 23459, 6500, 20762, 547, 2743, 519, 1808, 2361, 12680, 2115, 1040, 2368, 5010, 18168, 786, 581, 5714, 543, 930, 30704, 269, 898, 568, 4443, 547, 6474, 8770, 3928, 547, 3037, 1449, 7840, 950, 513, 20762, 13226, 568, 1031, 267, 607, 12753, 1063, 5567, 666, 581, 4957, 563, 27269, 267, 950, 5214, 2326, 616, 4294, 267, 623, 814, 1044, 16136, 6269, 29736, 543, 1100, 3606, 623, 568, 2877, 593, 891, 4610, 269, 5221, 5567, 538, 1034, 5214, 2326, 616, 796, 29446, 1700, 602, 568, 811, 623, 568, 1459, 982, 568, 2877, 950, 4294, 547, 2743, 7693, 715, 4170, 1107, 3498, 3928, 949, 581, 5462, 676, 715, 267, 623, 267, 610, 1256, 5230, 4496, 630, 19817, 704, 1107, 19923, 543, 13058, 1107, 31626, 264, 9830, 269, 634, 2557, 29438, 1746, 8770, 786, 4096, 593, 875, 1142, 1533, 814, 4294, 519, 5313, 22340, 9539, 305, 5425, 476, 276, 3445, 715, 22021, 5004, 9208, 630, 4785, 6395, 9539, 305, 5425, 267, 476, 1001, 280, 1040, 769, 713, 3009, 267, 519, 2557, 29438, 1746, 8770, 568, 5462, 676, 7311, 513, 623, 1981, 4879, 1634, 607, 519, 623, 12039, 610, 513, 3037, 1449, 623, 1377, 630, 698, 1258, 5669, 610, 2825, 264, 547, 3313, 952, 3662, 3653, 568, 4294, 593, 513, 715, 610, 623, 4493, 269, 4107, 2829, 723, 6074, 547, 946, 513, 623, 12039, 593, 4610, 8391, 3662, 3653, 538, 1931, 547, 3313, 519, 2557, 29438, 1746, 8770, 269, 2142, 6297, 950, 7311, 3662, 812, 999, 607, 789, 949, 2270, 19923, 610, 31626, 267, 799, 949, 6038, 2014, 4430, 2157, 602, 616, 6757, 547, 7693, 2504, 563, 8489, 901, 6657, 10331, 625, 543, 4706, 7799, 14591, 454, 301, 22021, 2359, 1058, 581, 1031, 593, 1022, 2361, 547, 799, 5010, 13226, 610, 5214, 2326, 616, 4294, 269, 3502, 1152, 1281, 519, 2259, 2149, 519, 1604, 267, 855, 621, 849, 10607, 707, 2804, 5377, 1899, 676, 4180, 602, 7850, 5567, 616, 13859, 1510, 7836, 3063, 2724, 593, 11991, 5567, 563, 301, 22021, 2359, 4058, 666, 581, 3810, 2500, 693, 4227, 519, 1628, 5346, 540, 623, 538, 11934, 799, 568, 1271, 607, 3037, 1449, 623, 2157, 616, 835, 540, 519, 1034, 1271, 2188, 8159, 1055, 21935, 9271, 540, 623, 269, 715, 22021, 2359, 849, 11151, 936, 22190, 997, 566, 540, 715, 267, 865, 621, 666, 2569, 13311, 715, 543, 623, 9271, 883, 938, 12535, 267, 12647, 267, 543, 1609, 340, 2456, 269, 12830, 569, 267, 8770, 2359, 17990, 2724, 269, 1635, 17306, 9063, 543, 676, 23478, 519, 2953, 2179, 540, 5567, 5116, 538, 519, 3037, 7157, 267, 693, 519, 1318, 942, 543, 1106, 267, 2504, 3790, 786, 581, 4389, 543, 11729, 786, 581, 9738, 563, 21798, 540, 20074, 519, 6657, 454, 301, 22021, 2359, 4058, 3622, 3790, 2724, 267, 855, 1454, 811, 666, 581, 10710, 676, 8308, 1095, 21564, 13226, 11378, 543, 1644, 3790, 269, 13689, 593, 519, 3037, 1826, 267, 3037, 4255, 616, 2877, 1169, 1079, 547, 2185, 1296, 269, 769, 930, 2829, 3037, 4152, 568, 1863, 267, 6466, 538, 824, 2829, 621, 949, 1942, 607, 1454, 607, 1269, 1428, 829, 3037, 3732, 269, 3557, 543, 5313, 8041, 267, 607, 1134, 607, 4357, 29801, 2328, 8770, 2359, 4566, 269, 1403, 596, 946, 513, 1533, 610, 5313, 8116, 267, 519, 3028, 568, 1863, 269, 13693, 1218, 3622, 5279, 1063, 1269, 1015, 543, 1269, 736, 829, 23505, 547, 2328, 513, 8770, 2359, 1544, 602, 949, 610, 949, 711, 1331, 3037, 4152, 563, 2791, 786, 4688, 2724, 952, 596, 6992, 1125, 1759, 593, 707, 3037, 1449, 1867, 269, 1403, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3773, 476, 6246, 2053, 3349, 4976, 538, 7824, 3898, 269, 1452, 9212, 616, 3730, 585, 476, 276, 628, 3044, 1053, 267, 952, 707, 1126, 2090, 538, 519, 11359, 3044, 865, 596, 666, 4647, 519, 6656, 585, 1864, 17017, 780, 14457, 692, 1607, 7792, 8691, 5750, 8638, 8691, 2055, 602, 666, 581, 1031, 585, 2790, 13004, 2259, 543, 547, 2087, 13004, 1983, 269, 898, 2636, 1053, 547, 2638, 741, 4267, 543, 568, 5078, 585, 8357, 1944, 741, 2053, 7515, 269, 901, 2034, 1305, 540, 8691, 2042, 3568, 811, 1950, 4834, 267, 2523, 609, 811, 1713, 2338, 543, 3137, 780, 1607, 4976, 786, 948, 4896, 945, 2115, 547, 2087, 741, 2790, 13004, 1983, 585, 1840, 543, 12408, 9273, 543, 2596, 8691, 7515, 269, 901, 2985, 568, 513, 1434, 4199, 585, 1053, 945, 991, 547, 1353, 741, 2053, 7515, 543, 1451, 519, 9238, 540, 13004, 269, 901, 4976, 568, 5078, 585, 1346, 945, 1616, 547, 2087, 741, 2790, 13004, 1983, 267, 971, 607, 4946, 3965, 2338, 547, 741, 9843, 780, 2162, 15026, 476, 6246, 8648, 7305, 15873, 692, 6781, 913, 568, 5018, 7792, 476, 6246, 2053, 3349, 5750, 538, 7824, 3898, 585, 938, 3755, 269, 1411, 666, 2671, 713, 609, 707, 1126, 865, 602, 646, 24172, 666, 979, 998, 519, 476, 6246, 2053, 3349, 5750, 543, 10145, 3211, 267, 646, 610, 1352, 786, 2648, 891, 12125, 1317, 789, 616, 10477, 543, 3730, 585, 873, 269, 26361, 5018, 1806, 1397, 875, 513, 1126, 666, 4194, 519, 2055, 676, 1210, 891, 12125, 780, 8923, 3643, 713, 476, 6246, 2053, 3349, 2985, 543, 2671, 707, 5784, 609, 721, 269, 1411, 666, 2671, 713, 2985, 609, 707, 15210, 3283, 865, 602, 789, 849, 979, 998, 938, 2985, 543, 1820, 3177, 2053, 3349, 12125, 543, 3211, 585, 741, 1453, 780, 14457, 692, 6246, 8648, 7305, 568, 513, 3126, 540, 2055, 547, 948, 4896, 2087, 741, 2790, 13004, 1983, 269, 1280, 1383, 267, 621, 2337, 1053, 3314, 741, 2053, 7515, 693, 519, 1439, 540, 519, 1032, 269, 898, 568, 513, 1259, 585, 1053, 547, 2259, 741, 2790, 13004, 585, 8691, 267, 3501, 532, 741, 2790, 13004, 5759, 780, 14457, 692, 1607, 2985, 3947, 1053, 606, 4367, 547, 8691, 4834, 602, 666, 581, 1031, 607, 513, 1434, 4704, 543, 1449, 269, 901, 7305, 568, 513, 3126, 540, 2055, 609, 4267, 602, 948, 2087, 13004, 1983, 585, 4896, 945, 6499, 547, 27655, 1840, 543, 12408, 5013, 585, 8691, 610, 6498, 269, 898, 17015, 3214, 610, 4079, 945, 991, 547, 2259, 741, 2790, 13004, 269, 901, 28094, 2488, 513, 1259, 585, 3214, 543, 4079, 540, 782, 6502, 547, 1451, 875, 8691, 1568, 676, 3478, 2241, 1806, 538, 519, 4098, 1354, 3001, 593, 547, 811, 4101, 2042, 609, 811, 1713, 2338, 543, 4267, 269, 0, 3528, 645, 658, 651, 10837, 692, 258, 1383, 540, 513, 476, 273, 343, 273, 5119, 602, 568, 711, 15497, 14184, 692, 278, 269, 1924, 1577, 779, 26998, 519, 27744, 543, 552, 580, 839, 335, 2167, 585, 5119, 589, 269, 667, 330, 568, 24735, 547, 12337, 607, 519, 1739, 1383, 14550, 269, 4020, 513, 562, 1180, 328, 21192, 476, 273, 1535, 476, 273, 5119, 602, 568, 15497, 14184, 855, 711, 538, 3200, 1043, 269, 13366, 1055, 519, 1292, 15497, 616, 782, 21325, 1040, 4144, 21192, 1436, 540, 513, 476, 273, 9943, 476, 273, 1483, 21136, 5119, 6333, 519, 1034, 2489, 1483, 21136, 476, 273, 9943, 273, 5119, 589, 815, 513, 524, 524, 536, 2073, 1141, 513, 267, 536, 543, 524, 616, 17062, 1483, 2338, 269, 12327, 21283, 4041, 281, 2913, 667, 476, 2004, 476, 6860, 269, 898, 568, 2009, 585, 513, 5119, 589, 547, 723, 562, 31085, 4830, 14802, 27523, 1247, 621, 814, 27744, 609, 3818, 2364, 885, 1989, 831, 982, 835, 907, 30770, 667, 273, 543, 667, 274, 269, 1403, 519, 27744, 540, 589, 616, 782, 3982, 267, 741, 7222, 14802, 27523, 616, 31085, 4830, 543, 4061, 589, 568, 15497, 14184, 269, 634, 6662, 568, 547, 4020, 513, 5119, 602, 568, 538, 3200, 1043, 855, 711, 15497, 14184, 269, 4935, 267, 519, 27744, 540, 589, 616, 519, 15497, 13366, 269, 7151, 281, 1772, 713, 5119, 15497, 14184, 286, 3371, 568, 606, 1383, 1141, 606, 14802, 7407, 814, 3818, 13109, 476, 273, 476, 273, 476, 273, 543, 519, 5119, 568, 711, 15497, 14184, 281, 2913, 589, 815, 630, 272, 476, 272, 476, 271, 476, 272, 1040, 769, 602, 2013, 267, 519, 1547, 543, 1265, 6780, 948, 585, 824, 4569, 2055, 693, 552, 24687, 1280, 713, 267, 2015, 513, 5119, 540, 1875, 25179, 27744, 267, 2161, 269, 7151, 476, 272, 281, 4144, 21192, 1436, 540, 513, 5119, 269, 8074, 269, 5192, 606, 2626, 585, 1412, 24876, 606, 1383, 540, 513, 1875, 26817, 21192, 14184, 476, 275, 343, 275, 5119, 609, 27744, 281, 910, 272, 267, 910, 272, 267, 476, 272, 267, 476, 272, 9538, 634, 3818, 13109, 540, 1142, 14802, 7407, 568, 1271, 538, 14045, 2436, 519, 5119, 568, 15497, 14184, 281, 607, 649, 723, 2938, 267, 952, 1142, 3818, 13109, 568, 476, 272, 267, 476, 272, 267, 476, 272, 267, 519, 5119, 568, 8850, 15497, 14184, 269, 630, 272, 7565, 320, 264, 12315, 606, 1383, 540, 513, 5119, 602, 568, 538, 3200, 1043, 855, 711, 15497, 14184, 269, 2368, 14290, 616, 711, 15497, 14184, 936, 1022, 2361, 267, 1034, 16113, 1875, 14706, 562, 559, 13607, 550, 14290, 269, 476, 279, 269, 3502, 1169, 5119, 568, 15497, 14184, 269, 3267, 1280, 1383, 267, 519, 1599, 1535, 317, 273, 568, 538, 3200, 1043, 952, 649, 6615, 1535, 547, 519, 8884, 1496, 271, 267, 8882, 1070, 610, 547, 1022, 15410, 540, 602, 8884, 269, 4569, 1547, 11569, 267, 595, 814, 7151, 476, 273, 281, 1323, 3498, 540, 15497, 1436, 22682, 589, 568, 513, 21083, 5119, 269, 1280, 3236, 267, 1924, 952, 649, 666, 19509, 526, 513, 6041, 589, 284, 394, 355, 291, 394, 355, 6629, 272, 865, 602, 9625, 343, 271, 815, 291, 349, 343, 568, 2653, 547, 4194, 267, 1287, 349, 344, 271, 815, 288, 349, 344, 568, 849, 2653, 547, 4194, 269, 769, 519, 3069, 540, 17389, 2516, 267, 519, 5119, 12825, 3947, 519, 4276, 1063, 513, 5119, 17389, 7223, 543, 519, 7222, 17389, 1895, 907, 2913, 2473, 581, 606, 562, 9943, 333, 1483, 610, 1950, 5119, 269, 1383, 540, 1875, 26817, 21192, 14184, 14290, 2368, 14290, 609, 1483, 13366, 799, 616, 711, 15497, 14184, 936, 21508, 507, 616, 15497, 14184, 936, 519, 1950, 2338, 21508, 480, 1547, 901, 4523, 811, 3622, 952, 519, 15821, 543, 12166, 3818, 2364, 885, 540, 606, 14802, 7407, 798, 711, 14626, 728, 269, 1403, 513, 5119, 568, 538, 3200, 1043, 267, 922, 27744, 1590, 581, 1875, 14706, 269, 1280, 3236, 267, 2015, 901, 5119, 568, 711, 15497, 14184, 281, 972, 568, 1100, 5119, 772, 971, 602, 568, 513, 15497, 5119, 269, 4475, 519, 27744, 540, 519, 5119, 589, 616, 476, 274, 267, 476, 275, 269, 630, 272, 7565, 321, 2567, 12315, 606, 1383, 540, 513, 5119, 602, 568, 15497, 14184, 855, 711, 538, 3200, 1043, 269, 630, 273, 264, 11693, 513, 5119, 589, 267, 649, 1289, 513, 5119, 645, 513, 521, 769, 6128, 267, 519, 5119, 12825, 568, 513, 5119, 1599, 593, 4009, 14290, 26922, 547, 519, 8723, 12825, 1599, 20193, 568, 1031, 547, 4194, 1949, 540, 5276, 11186, 4834, 269, 9046, 281, 2913, 589, 284, 476, 273, 476, 275, 476, 277, 476, 274, 476, 279, 476, 271, 476, 273, 476, 271, 476, 272, 476, 271, 476, 274, 476, 274, 476, 276, 281, 1772, 5119, 1520, 328, 21192, 14184, 286, 476, 276, 269, 274, 4144, 21192, 1436, 634, 3804, 1934, 568, 547, 1020, 513, 3730, 26458, 589, 623, 7894, 476, 272, 267, 950, 589, 568, 562, 562, 269, 1284, 666, 946, 713, 547, 12337, 13019, 3533, 585, 1804, 737, 269, 634, 5119, 667, 568, 513, 15497, 5119, 630, 328, 4318, 269, 8382, 281, 1635, 1160, 6570, 476, 2537, 269, 273, 267, 5119, 589, 529, 15497, 14184, 952, 543, 1152, 952, 972, 568, 513, 4493, 540, 681, 274, 9967, 540, 14802, 27523, 540, 589, 269, 769, 891, 4967, 267, 649, 786, 12337, 519, 27744, 543, 14802, 27523, 540, 589, 267, 543, 1287, 19509, 526, 519, 1483, 26667, 5119, 602, 15497, 3278, 589, 269, 11137, 1879, 4144, 21192, 1436, 674, 5661, 1323, 7151, 6348, 5937, 328, 21192, 14184, 7010, 540, 12430, 27018, 12307, 609, 19693, 3213, 1030, 16667, 857, 757, 476, 277, 269, 1809, 711, 15497, 14184, 936, 21508, 507, 616, 15497, 14184, 936, 21508, 507, 616, 15497, 14184, 936, 21508, 507, 616, 15497, 14184, 936, 1022, 2361, 1034, 1862, 476, 274, 476, 276, 281, 568, 713, 5119, 568, 711, 15497, 14184, 936, 519, 1950, 2338, 21508, 480, 540, 513, 865, 952, 649, 19509, 526, 256, 589, 5119, 602, 15497, 3278, 513, 540, 681, 274, 9967, 540, 14802, 27523, 540, 513, 5119, 568, 711, 15497, 14184, 281, 568, 269, 4024, 12337, 519, 27744, 540, 513, 616, 519, 15497, 13366, 936, 21508, 507, 616, 15497, 14184, 936, 519, 1950, 2338, 21508, 480, 2361, 1862, 1452, 4967, 267, 649, 786, 12337, 519, 27744, 540, 519, 5119, 513, 616, 519, 15497, 13366, 540, 519, 5119, 616, 1862, 7412, 8765, 4830, 543, 4061, 513, 568, 15497, 14184, 855, 711, 15497, 14184, 936, 519, 1950, 21508, 480, 269, 13201, 27744, 609, 3818, 2364, 885, 1989, 831, 982, 835, 267, 2015, 513, 5119, 540, 1875, 25179, 27744, 267, 2161, 2626, 585, 1412, 24876, 1383, 1862, 910, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 269, 3976, 267, 519, 27744, 543, 14802, 27523, 540, 513, 513, 1862, 6348, 14706, 562, 559, 13607, 550, 14290, 3738, 630, 536, 476, 2567, 12315, 606, 1383, 540, 1875, 26817, 21192, 14184, 14290, 2368, 14290, 616, 15497, 14184, 269, 11137, 1879, 4144, 21192, 1436, 674, 5661, 606, 1383, 1875, 26817, 21192, 14184, 7010, 540, 12430, 27018, 12307, 609, 19693, 3213, 1030, 16667, 857, 757, 2807, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 269, 3818, 2364, 885, 1989, 831, 982, 1862, 681, 274, 9967, 540, 14802, 27523, 540, 513, 281, 910, 272, 267, 910, 272, 267, 476, 272, 269, 476, 272, 476, 271, 476, 274, 476, 274, 476, 276, 281, 713, 1862, 476, 275, 269, 4020, 513, 5119, 513, 865, 602, 9625, 343, 271, 815, 291, 349, 343, 568, 2653, 547, 4194, 267, 1287, 349, 344, 271, 568, 256, 27018, 12307, 609, 19693, 3213, 1030, 16667, 857, 757, 476, 277, 14290, 616, 711, 15497, 14184, 786, 12337, 519, 27744, 543, 552, 580, 839, 335, 2167, 585, 5119, 547, 269, 2382, 766, 267, 2015, 513, 5119, 540, 1875, 25179, 27744, 267, 2161, 609, 19693, 3213, 1030, 16667, 857, 757, 476, 277, 543, 552, 580, 839, 335, 2167, 5119, 269, 16534, 267, 1287, 349, 344, 271, 815, 288, 349, 344, 568, 849, 2653, 547, 4194, 267, 1287, 349, 344, 271, 815, 288, 349, 344, 568, 849, 2653, 4194, 1421, 519, 27744, 543, 552, 580, 839, 335, 2167, 585, 5119, 513, 616, 519, 15497, 13366, 513, 15497, 5119, 11313, 521, 26998, 519, 540, 269, 661, 3394, 27523, 1247, 621, 814, 27744, 609, 3818, 2364, 885, 1989, 831, 982, 835, 2009, 585, 513, 602, 1862, 674, 5661, 606, 1383, 540, 513, 681, 274, 9967, 540, 14802, 27523, 540, 513, 865, 649, 1862, 1684, 711, 14626, 728, 1875, 26817, 21192, 14184, 14290, 2368, 14290, 609, 1483, 13366, 799, 616, 711, 936, 269, 1677, 723, 562, 31085, 4830, 543, 4061, 513, 568, 15497, 14184, 855, 711, 538, 3200, 1043, 1152, 1421, 1287, 349, 344, 271, 815, 288, 349, 344, 568, 849, 2653, 547, 4194, 267, 1287, 349, 344, 271, 815, 288, 349, 344, 568, 849, 2653, 547, 4194, 1287, 349, 344, 271, 1862, 18771, 581, 1875, 14706, 519, 15821, 543, 12166, 3818, 2364, 885, 540, 606, 14802, 7407, 798, 711, 14626, 728, 4493, 269, 1703, 568, 1100, 5119, 772, 971, 602, 568, 538, 3200, 1043, 1383, 540, 513, 476, 273, 343, 273, 5119, 602, 568, 711, 15497, 14184, 711, 15497, 14184, 936, 616, 1862, 2986, 1875, 25179, 27744, 267, 2161, 267, 476, 272, 267, 476, 272, 267, 476, 272, 269, 3213, 1030, 16667, 857, 757, 476, 277, 1483, 269, 634, 27744, 543, 14802, 27523, 540, 513, 267, 543, 1287, 19509, 526, 519, 1483, 26667, 5119, 602, 568, 1383, 540, 513, 476, 273, 343, 273, 5119, 602, 568, 711, 15497, 14184, 269, 3683, 1022, 2361, 267, 1034, 16113, 1875, 14706, 562, 559, 13607, 550, 14290, 649, 666, 19509, 526, 6041, 256, 1656, 552, 580, 839, 335, 2167 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 3617, 30422, 585, 519, 2557, 540, 18254, 543, 1303, 1778, 618, 6606, 269, 898, 1590, 581, 17019, 602, 1022, 15739, 32735, 538, 8990, 540, 18254, 543, 1303, 1778, 618, 3928, 267, 1927, 609, 3444, 2275, 528, 30447, 1063, 873, 267, 5012, 547, 519, 2530, 540, 6111, 540, 2203, 11236, 269, 11094, 4834, 11341, 519, 3119, 6724, 616, 3964, 585, 519, 5277, 4670, 543, 11517, 4295, 269, 634, 2203, 5161, 540, 1614, 2527, 3666, 4834, 267, 585, 5277, 538, 519, 4670, 607, 1134, 607, 1079, 25686, 4295, 543, 519, 3154, 5123, 3294, 269, 1452, 4834, 616, 29979, 676, 519, 7222, 11610, 4834, 585, 5277, 538, 519, 4670, 543, 519, 1079, 25686, 4295, 269, 7248, 1464, 540, 519, 2203, 814, 1044, 7318, 593, 930, 8097, 1239, 563, 763, 8097, 1382, 540, 13476, 7874, 14023, 656, 670, 25539, 268, 278, 1015, 271, 28198, 538, 10612, 1295, 747, 2335, 1564, 729, 5342, 269, 4438, 519, 13753, 540, 670, 25539, 268, 278, 1015, 271, 28198, 538, 513, 1295, 747, 14128, 609, 4835, 8006, 476, 273, 6515, 1927, 609, 14839, 540, 2095, 3270, 729, 1500, 269, 10439, 1436, 2164, 941, 3379, 609, 4540, 2095, 2497, 7851, 269, 634, 8446, 540, 519, 2039, 540, 2095, 3270, 12136, 1282, 519, 28198, 1184, 540, 1970, 25774, 14023, 656, 670, 25539, 268, 278, 1015, 271, 729, 1500, 269, 634, 4255, 941, 5340, 2429, 519, 2898, 2039, 540, 28198, 1184, 563, 1103, 519, 1957, 4843, 568, 519, 2079, 540, 519, 2164, 540, 9273, 1210, 513, 2203, 547, 3589, 2095, 14495, 540, 14023, 1218, 971, 607, 681, 16328, 320, 267, 681, 7785, 320, 543, 681, 23310, 269, 634, 8545, 1079, 12862, 941, 711, 1031, 538, 519, 1646, 540, 519, 2203, 10859, 655, 2869, 673, 15494, 269, 1280, 602, 2601, 519, 2203, 729, 20240, 609, 1459, 8097, 1239, 269, 634, 8097, 1382, 729, 5342, 585, 513, 2407, 2039, 540, 2298, 8390, 543, 513, 5266, 2647, 2039, 540, 2527, 6991, 269, 634, 2832, 540, 519, 1459, 1353, 729, 849, 547, 1449, 519, 8417, 540, 2919, 2203, 547, 513, 5542, 540, 519, 2203, 540, 1079, 25686, 2095, 12750, 1512, 543, 519, 1875, 14508, 629, 1738, 2360, 269, 1280, 602, 3483, 1079, 3631, 723, 1044, 21845, 12077, 519, 835, 1813, 547, 28228, 28705, 4149, 12888, 327, 10402, 543, 1261, 1188, 267, 543, 17054, 601, 269, 769, 1840, 267, 519, 960, 2982, 519, 2956, 540, 2921, 2627, 8082, 883, 2272, 538, 519, 9819, 540, 519, 2095, 2497, 563, 23044, 14495, 543, 2095, 28198, 616, 1419, 9833, 607, 1079, 6587, 610, 27101, 9259, 269, 4256, 6609, 2705, 609, 513, 2582, 9756, 814, 2943, 547, 581, 6700, 269, 769, 519, 2013, 540, 2095, 14495, 538, 1295, 747, 2335, 1564, 972, 568, 6140, 11402, 519, 3045, 983, 2095, 2497, 267, 1141, 519, 19389, 5108, 568, 711, 1459, 269, 5381, 4605, 6585, 585, 519, 2013, 540, 3330, 8546, 28198, 267, 1141, 3045, 983, 2095, 2497, 2392, 558, 7149, 269, 769, 971, 2013, 519, 3002, 4483, 11664, 568, 5097, 8200, 593, 519, 12768, 21063, 7271, 269, 769, 519, 1957, 513, 1505, 2919, 4505, 676, 519, 1101, 2278, 568, 4294, 547, 9273, 540, 3002, 4483, 11664, 585, 3330, 8546, 28198, 269, 634, 1505, 814, 1044, 20240, 1210, 8097, 1239, 689, 3332, 593, 1896, 12862, 538, 1114, 2890, 577, 2335, 1564, 543, 3379, 547, 1614, 1134, 3964, 21374, 585, 9273, 540, 3002, 4483, 11664, 538, 2095, 28198, 269, 898, 5693, 11710, 689, 519, 2164, 4843, 1934, 602, 519, 2095, 28198, 666, 581, 24018, 538, 2474, 540, 14013, 25282, 2604, 6749, 563, 20059, 580, 725, 540, 14023, 656, 28198, 538, 10612, 1295, 747, 2335, 1564, 616, 1360, 4101, 543, 7294, 3390, 269, 9603, 547, 519, 21318, 540, 7506, 1360, 1271, 568, 6310, 543, 2780, 9781, 269, 4706, 2636, 585, 7900, 9273, 585, 1082, 1114, 14023, 1218, 896, 1114, 5236, 361, 480, 578, 2175, 269, 589, 1804, 1297, 540, 8097, 2164, 3370, 538, 519, 3332, 2636, 585, 8097, 19027, 540, 2953, 1145, 540, 519, 3631, 269, 769, 713, 960, 568, 4843, 513, 6310, 2203, 585, 9819, 540, 5236, 361, 480, 578, 4187, 1282, 28198, 540, 14023, 1218, 538, 519, 10612, 1295, 747, 14128, 269, 634, 2203, 729, 2919, 538, 1604, 1759, 593, 5726, 4834, 269, 634, 2164, 540, 9273, 941, 20240, 676, 4589, 1378, 8097, 13753, 2164, 563, 763, 1699, 1957, 6799, 519, 8097, 15418, 540, 519, 20902, 2203, 540, 519, 1079, 25686, 5687, 657, 344, 874, 517, 8520, 269, 634, 20902, 2203, 568, 1759, 593, 2527, 267, 11610, 267, 543, 1648, 21356, 538, 519, 18493, 2209, 267, 8375, 8546, 267, 7873, 839, 619, 543, 519, 9991, 8546, 269, 634, 7811, 2079, 543, 519, 8097, 1239, 723, 1044, 5833, 585, 513, 1007, 2966, 14583, 269, 634, 14583, 4016, 547, 513, 5687, 657, 344, 874, 517, 8520, 609, 1312, 1295, 747, 2335, 1564, 543, 6671, 13740, 269, 634, 5687, 657, 344, 874, 517, 8520, 5161, 540, 606, 18493, 1807, 593, 519, 2539, 7299, 3296, 543, 513, 7873, 27660, 593, 519, 5580, 7299, 3296, 269, 634, 835, 8820, 24267, 543, 9674, 1079, 25686, 2095, 3631, 941, 1031, 538, 9273, 269, 634, 5767, 1295, 747, 14128, 3002, 4483, 21374, 2139, 538, 3332, 941, 4294, 269, 589, 10230, 2079, 540, 519, 2019, 636, 13011, 2095, 2557, 538, 519, 11931, 15581, 814, 1044, 2944, 269, 634, 4603, 729, 5342, 593, 513, 16887, 2966, 1449, 17102, 269, 8299, 1905, 675, 1216, 729, 1031, 607, 513, 2324, 5714, 269, 634, 2164, 1397, 602, 519, 7811, 11236, 616, 538, 1434, 6876, 609, 519, 6027, 2019, 636, 13011, 2095, 2557, 693, 11931, 15581, 563, 1607, 1957, 1459, 519, 2164, 540, 8097, 13753, 540, 28198, 540, 681, 16328, 320, 14023, 656, 538, 10612, 1295, 747, 2335, 1564, 609, 4835, 5603, 4394, 476, 271, 269, 5038, 267, 476, 271, 269, 3445, 267, 476, 272, 269, 2412, 267, 476, 272, 269, 4510, 267, 476, 272, 269, 10844, 543, 476, 274, 269, 1789, 6515, 1641, 547, 13350, 2604, 1128, 3809, 269, 898, 729, 3964, 602, 607, 538, 6671, 9055, 267, 519, 12761, 6991, 540, 519, 2604, 1128, 3809, 3982, 569, 5673, 593, 519, 4908, 540, 741, 8652, 323, 29174, 5108, 269, 634, 20704, 6824, 3982, 569, 7506, 519, 6991, 540, 519, 2604, 1128, 3809, 269, 634, 1106, 540, 713, 2078, 5673, 593, 519, 4835, 8006, 540, 519, 1295, 747, 2335, 1564, 543, 593, 519, 1505, 540, 12719, 519, 20704, 6824, 563, 763, 1957, 6799, 519, 2164, 540, 8097, 3002, 4483, 543, 2604, 6749, 1282, 28198, 540, 519, 2582, 5057, 14023, 656, 681, 16328, 320, 543, 18410, 32430, 23399, 681, 29024, 288, 267, 681, 2412, 278, 290, 267, 543, 681, 25148, 288, 538, 8546, 1295, 747, 2335, 1564, 540, 4835, 8006, 689, 519, 2039, 476, 271, 269, 4029, 1700, 274, 269, 1789, 6515, 269, 634, 2199, 2418, 543, 519, 3328, 540, 3002, 4483, 11664, 543, 2604, 6749, 538, 519, 2898, 2039, 540, 519, 1689, 538, 2527, 2298, 941, 6027, 269, 2201, 519, 4493, 540, 519, 5833, 1449, 2164, 972, 729, 11609, 519, 3310, 540, 519, 1689, 540, 2527, 11517, 2298, 267, 519, 2527, 13441, 5860, 267, 543, 519, 6418, 8006, 540, 8756, 593, 519, 6594, 6724, 269, 1452, 2164, 941, 3379, 609, 519, 9819, 2164, 1759, 593, 519, 1894, 2022, 4327, 676, 824, 4589, 269, 634, 15739, 32735, 2039, 729, 13008, 476, 2004, 10065, 2201, 519, 4493, 540, 2016, 1449, 2164, 1378, 9756, 729, 2919, 547, 5173, 519, 3002, 4483, 11664, 543, 2604, 6749, 540, 7318, 14023, 1218, 799, 6799, 519, 5833, 2164, 538, 513, 2039, 540, 15739, 32735, 540, 13008, 1839, 18336, 1103, 519, 1957, 4843, 616, 519, 2164, 540, 9273, 1210, 4589, 1378, 2203, 547, 3589, 3002, 4483, 11664, 1282, 2095, 14495, 540, 3327, 8166, 269, 634, 8097, 1239, 689, 1585, 29622, 941, 6394, 269, 6726, 725, 941, 5342, 585, 513, 2407, 2039, 540, 2298, 8390, 543, 513, 2647, 2039, 540, 2527, 6991, 269, 634, 2832, 540, 519, 1353, 729, 547, 1449, 519, 8417, 540, 519, 538, 27440, 2203, 269, 634, 2164, 1397, 519, 2956, 540, 2921, 883, 2272, 519, 2627, 8082, 607, 519, 9936, 27109, 922, 2956, 538, 2013, 540, 519, 2095, 538, 1295, 747, 2335, 1564, 607, 1134, 607, 519, 3310, 540, 4389, 2604, 269, 634, 9273, 941, 12913, 547, 1449, 519, 8417, 540, 519, 3002, 4483, 2203, 609, 2463, 547, 5542, 540, 519, 3617, 1079, 25686, 2095, 12750, 1512, 267, 799, 568, 835, 540, 519, 2609, 540, 519, 3002, 4483, 2203, 269, 1280, 602, 3483, 21374, 1813, 547, 28228, 28705, 4149, 12888, 327, 10402, 543, 1261, 1188, 607, 1134, 607, 519, 835, 1813, 547, 17054, 601, 941, 2808, 269, 5136, 22633, 2164, 1397, 513, 1434, 11007, 609, 8097, 2164, 267, 2705, 519, 5542, 540, 1079, 25686, 2095, 12750, 1512, 1281, 711, 3648, 3310, 519, 11007, 540, 9273, 563, 763, 1459, 1957, 6257, 519, 2164, 540, 8097, 13753, 540, 3002, 4483, 1282, 28198, 540, 681, 16328, 320, 267, 681, 29024, 288, 543, 681, 2412, 278, 290, 538, 10612, 1295, 747, 2335, 1564, 609, 4835, 5603, 4394, 476, 271, 269, 4029, 268, 274, 269, 1789, 6515, 269, 634, 2164, 6161, 13753, 540, 519, 2199, 3002, 4483, 11664, 269, 634, 2164, 941, 3379, 609, 519, 21374, 6069, 676, 824, 4589, 269, 10738, 519, 2039, 540, 8947, 6724, 540, 519, 28198, 1184, 538, 1295, 747, 2335, 1564, 1500, 540, 16243, 5374, 267, 621, 729, 3964, 602, 519, 2418, 540, 519, 3002, 4483, 11664, 949, 581, 4330, 609, 13019, 619, 1696, 620, 1421, 631, 1731, 773, 548, 23495, 345, 543, 20961, 21374, 1369, 513, 3908, 2039, 540, 519, 2527, 13441, 5860, 540, 519, 14023, 656, 543, 519, 1295, 747, 14128, 8006, 269, 2201, 519, 4493, 540, 8097, 13753, 267, 519, 4589, 6069, 741, 1378, 9756, 585, 519, 9819, 540, 2199, 3002, 4483, 11664, 563, 26046, 540, 519, 1533, 540, 7308, 19603, 538, 1382, 540, 14023, 656, 28198, 538, 20538, 3002, 9401, 13377, 267, 865, 10777, 6687, 2176, 267, 729, 1500, 269, 11778, 540, 14023, 656, 681, 2412, 278, 290, 28198, 538, 513, 9910, 7873, 27660, 1500, 538, 519, 1106, 540, 1079, 15985, 956, 540, 8685, 983, 1295, 747, 2335, 1564, 689, 16243, 5374, 609, 606, 3330, 8006, 476, 271, 269, 5038, 6515, 543, 3259, 476, 1911, 6515, 723, 1044, 4843, 269, 5565, 9401, 13377, 15538, 540, 2185, 1295, 747, 2335, 1564, 543, 476, 279, 1295, 747, 2335, 1564, 723, 1044, 11567, 269, 634, 2418, 540, 3328, 3002, 4483, 11664, 543, 535, 2774, 1308, 2604, 12772, 2429, 519, 28198, 1184, 941, 11280, 269, 634, 1764, 540, 519, 11517, 2298, 540, 14023, 656, 543, 519, 2527, 13441, 5860, 593, 519, 8515, 540, 3002, 4483, 543, 2095, 4187, 941, 11609, 269, 589, 13354, 2079, 540, 1449, 2164, 585, 1585, 14023, 1218, 538, 1312, 9910, 3002, 9401, 13377, 941, 1500, 563, 763, 1459, 1957, 6257, 2164, 540, 8097, 13753, 540, 2604, 6749, 1282, 519, 28198, 540, 681, 16328, 320, 267, 681, 29024, 320, 543, 681, 2412, 278, 290, 14023, 1218, 538, 10612, 1295, 747, 2335, 1564, 609, 4835, 8006, 476, 271, 269, 4029, 268, 274, 269, 1789, 6515, 269, 634, 2164, 6161, 13753, 540, 519, 1611, 543, 2199, 2604, 6749, 538, 2582, 1295, 747, 2335, 1564, 269, 634, 2164, 540, 8097, 13753, 941, 3379, 609, 519, 9273, 2687, 547, 519, 21374, 6069, 676, 824, 4589, 269, 589, 2604, 6749, 1282, 519, 28198, 540, 14023, 1218, 568, 4330, 538, 513, 25685, 6073, 609, 17054, 601, 543, 12275, 574, 7578, 21374, 269, 2201, 519, 4493, 540, 519, 8097, 13753, 267, 519, 4589, 6069, 741, 1378, 9756, 585, 9819, 540, 2199, 2604, 6749, 1282, 28198, 538, 2582, 1295, 747, 2335, 1564, 269, 0, 296, 4076, 1419, 4862, 1004, 2161, 13868, 9204, 609, 513, 2244, 2048, 339, 1314, 685, 630, 3467, 5265, 513, 2244, 10519, 264, 4992, 968, 854, 32540, 5608, 607, 1498, 621, 779, 513, 3983, 3364, 269, 1411, 666, 2995, 676, 741, 3159, 602, 621, 568, 1767, 538, 513, 1629, 6756, 532, 1259, 563, 8133, 267, 621, 568, 32540, 267, 1310, 782, 519, 905, 340, 729, 519, 2244, 5279, 267, 855, 649, 1522, 3314, 602, 13848, 723, 2760, 1586, 1044, 607, 1164, 607, 789, 941, 538, 519, 6957, 18818, 2540, 543, 519, 1101, 851, 540, 519, 31303, 267, 543, 912, 2108, 15152, 519, 32540, 1062, 519, 3152, 851, 540, 1857, 9276, 729, 1219, 2001, 539, 689, 519, 10519, 540, 2244, 267, 543, 519, 2244, 6868, 1185, 547, 798, 519, 8165, 610, 7703, 922, 1942, 269, 16874, 713, 1062, 1044, 4797, 267, 4789, 267, 585, 3236, 267, 1131, 547, 6377, 723, 1185, 1100, 1857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 513, 9543, 2006, 18795, 1524, 693, 519, 3349, 6587, 543, 8279, 909, 513, 16906, 269, 1306, 513, 1875, 23337, 20269, 267, 519, 9329, 540, 8673, 689, 519, 16906, 568, 18473, 543, 519, 2034, 1688, 7296, 568, 4929, 596, 547, 11522, 269, 769, 713, 9183, 596, 267, 707, 1920, 267, 519, 824, 5561, 267, 543, 519, 7227, 619, 267, 596, 616, 782, 519, 2048, 628, 2273, 5428, 9957, 1411, 4769, 1406, 6718, 519, 13189, 585, 1864, 543, 596, 1705, 711, 6133, 873, 547, 1864, 267, 596, 1185, 1100, 9525, 538, 519, 6718, 543, 9042, 540, 1346, 13189, 267, 2943, 596, 616, 782, 11874, 4299, 676, 1010, 4616, 540, 13189, 538, 519, 13962, 563, 27078, 894, 5007, 885, 2291, 538, 1082, 4025, 950, 3688, 616, 6223, 539, 267, 543, 930, 666, 8197, 1118, 513, 555, 773, 1407, 1272, 602, 2370, 3787, 4443, 563, 296, 2141, 2972, 1603, 891, 543, 594, 4126, 596, 1336, 713, 7160, 540, 634, 570, 592, 760, 11819, 16367, 269, 1403, 596, 723, 513, 2243, 610, 513, 1888, 596, 8910, 899, 547, 1294, 267, 5310, 596, 4076, 8068, 1945, 8966, 602, 1223, 581, 6045, 1210, 9297, 267, 5225, 798, 3914, 856, 3842, 519, 3346, 2985, 593, 634, 570, 592, 760, 11819, 3896, 267, 594, 8910, 2648, 547, 5873, 689, 596, 563, 21900, 1748, 11905, 281, 1744, 13616, 18450, 2593, 0, 8512, 540, 519, 10022, 454, 5327, 335, 1515, 543, 2598, 1706, 640, 281, 634, 772, 928, 1597, 645, 6324, 839, 540, 5046, 268, 866, 454, 28347, 24068, 9516, 1269, 278, 269, 277, 5479, 538, 6595, 7616, 585, 2146, 1072, 7740, 950, 646, 9896, 519, 1269, 272, 269, 280, 18265, 1977, 1763, 26443, 4643, 585, 28530, 519, 2360, 540, 519, 5046, 6855, 593, 13628, 269, 7991, 1072, 7740, 616, 1857, 19190, 602, 5097, 1683, 1072, 1416, 538, 1199, 1227, 9207, 5703, 2127, 543, 616, 18445, 2629, 585, 20408, 7372, 7292, 13103, 538, 12674, 3928, 563, 763, 24068, 7245, 9250, 513, 1982, 2063, 3923, 602, 2488, 10074, 2047, 547, 2146, 1072, 7740, 267, 1141, 519, 5354, 540, 1004, 18764, 865, 2484, 616, 1004, 540, 2681, 267, 2687, 547, 2079, 676, 519, 918, 9820, 518, 7731, 7690, 269, 589, 1279, 5503, 10862, 585, 11636, 1876, 16234, 971, 607, 7354, 269, 12672, 773, 9995, 619, 267, 10480, 518, 958, 14102, 2146, 1072, 7740, 1683, 3102, 1072, 1416, 547, 811, 982, 476, 3066, 2929, 1004, 267, 1519, 476, 1691, 2929, 1004, 2713, 2630, 519, 5313, 6710, 1899, 267, 7488, 540, 741, 6142, 4567, 610, 2702, 547, 2628, 563, 309, 3147, 710, 15833, 267, 540, 1576, 267, 616, 1863, 693, 2146, 1072, 7740, 543, 824, 4609, 2324, 609, 519, 2229, 269, 1306, 540, 4728, 476, 278, 267, 5313, 1239, 1397, 602, 476, 7918, 2600, 540, 1004, 945, 4607, 835, 610, 811, 6669, 13066, 693, 513, 2146, 1072, 4099, 616, 1004, 540, 2681, 267, 2687, 547, 918, 9820, 518, 779, 2079, 269, 2755, 972, 616, 10616, 538, 519, 1239, 267, 10199, 476, 2918, 2600, 540, 1004, 945, 4607, 10074, 616, 5824, 343, 543, 10199, 476, 1321, 2600, 616, 4563, 269, 6271, 10199, 476, 1704, 2600, 2697, 607, 7489, 267, 6404, 268, 15869, 610, 7087, 563, 295, 27941, 12674, 3928, 1851, 1004, 540, 2681, 693, 2146, 1072, 7740, 2303, 602, 891, 19190, 616, 3257, 513, 1732, 2816, 693, 3945, 3215, 2950, 540, 2681, 2182, 3620, 527, 676, 519, 6855, 982, 519, 3084, 4674, 2949, 269, 13780, 958, 267, 1152, 476, 280, 2600, 540, 1004, 945, 723, 4607, 693, 2547, 835, 8929, 616, 5824, 343, 543, 476, 278, 2600, 616, 4563, 267, 855, 5824, 343, 543, 4563, 1004, 1118, 909, 827, 476, 866, 2600, 543, 476, 1724, 2600, 540, 519, 2698, 2136, 2276, 2551, 267, 6606, 563, 763, 1977, 1763, 26443, 4643, 2488, 811, 982, 1269, 2568, 5479, 538, 3606, 7616, 547, 5234, 543, 4228, 1857, 1072, 1949, 602, 960, 609, 2146, 1072, 7740, 593, 519, 4395, 3515, 540, 519, 4674, 547, 2270, 519, 3644, 267, 2687, 547, 519, 2817, 5948, 540, 7991, 2657, 15544, 630, 2793, 6224, 290, 1916, 8601, 25409, 1164, 3928, 540, 5046, 3968, 543, 7972, 538, 2950, 540, 2681, 543, 2523, 1851, 4563, 1004, 267, 11528, 10168, 814, 3361, 7292, 13103, 538, 6669, 3892, 543, 1569, 269, 769, 5988, 267, 519, 12674, 2557, 1851, 3043, 1004, 538, 476, 3374, 2829, 729, 811, 982, 5595, 519, 12674, 2557, 1851, 5824, 343, 1004, 543, 5176, 5595, 519, 2557, 1851, 4563, 1004, 267, 2687, 547, 918, 9820, 518, 563, 32546, 1448, 547, 2789, 4128, 585, 891, 13103, 267, 1519, 32618, 7496, 547, 2564, 1416, 5185, 676, 1004, 540, 2681, 543, 513, 3668, 540, 3972, 538, 513, 2564, 1062, 609, 513, 9371, 540, 22457, 6057, 543, 17634, 269, 3194, 2982, 4563, 1004, 616, 2484, 1447, 2693, 547, 3972, 7189, 982, 3043, 1004, 616, 267, 1813, 547, 16048, 12194, 602, 789, 786, 581, 17792, 1416, 543, 3068, 824, 3029, 540, 10168, 602, 24183, 2564, 2126, 269, 13787, 626, 11776, 11268, 814, 849, 2813, 7496, 547, 10074, 267, 2523, 538, 519, 3162, 563, 26322, 1072, 7740, 616, 2966, 547, 2232, 13103, 538, 1072, 1416, 676, 2766, 1681, 741, 2533, 547, 519, 2115, 540, 1808, 2950, 267, 2436, 602, 1797, 3246, 1569, 547, 1416, 538, 2789, 4654, 267, 9750, 8213, 2126, 2533, 610, 2519, 593, 7486, 6604, 543, 2126, 267, 547, 2012, 513, 1906, 1806, 269, 25569, 338, 540, 19190, 4196, 6917, 2127, 1141, 972, 616, 1906, 824, 7426, 269, 24930, 543, 5234, 1419, 2992, 519, 1004, 789, 4196, 267, 971, 607, 11082, 267, 1004, 540, 2681, 543, 11806, 1004, 563, 763, 6871, 540, 1004, 540, 2681, 8391, 10074, 814, 2799, 693, 2146, 1072, 7740, 25422, 2094, 519, 24068, 7245, 3459, 2324, 2047, 609, 519, 1062, 547, 1683, 10074, 267, 609, 519, 2671, 540, 2550, 540, 2681, 8391, 741, 1101, 8929, 3395, 689, 476, 5325, 2600, 538, 5130, 547, 476, 6321, 2600, 538, 5988, 269, 901, 9356, 519, 2551, 6039, 676, 2146, 1072, 7740, 267, 1141, 476, 8287, 2600, 540, 2550, 941, 1004, 540, 2681, 538, 476, 1001, 277, 563, 25387, 267, 827, 476, 7742, 1072, 7740, 609, 811, 982, 476, 275, 267, 1822, 4609, 616, 2324, 547, 1118, 2386, 602, 782, 1614, 5046, 10074, 630, 303, 325, 6500, 267, 7073, 320, 543, 9652, 1299, 9652, 264, 616, 2139, 547, 1970, 13867, 1004, 267, 554, 537, 1088, 612, 1004, 267, 27540, 4600, 267, 7264, 540, 1857, 8027, 267, 2550, 945, 3717, 2370, 2296, 543, 1004, 2713, 538, 6917, 2127, 267, 2687, 547, 715, 3722, 18449, 563, 4263, 713, 942, 2063, 1032, 267, 5313, 7616, 585, 2146, 1072, 7740, 729, 593, 519, 7725, 538, 6837, 267, 1256, 607, 519, 19190, 5249, 2047, 609, 519, 15544, 585, 8376, 6513, 543, 10644, 547, 2270, 519, 3644, 538, 12790, 2950, 269, 853, 2130, 1524, 513, 1761, 16642, 29384, 267, 2146, 1072, 7740, 18487, 941, 7142, 547, 2015, 17849, 1863, 8240, 543, 8488, 20073, 687, 543, 9283, 538, 19190, 543, 5989, 563, 2108, 301, 22022, 835, 1032, 3516, 649, 941, 8165, 713, 6855, 609, 835, 1688, 13615, 3297, 938, 19758, 543, 513, 21318, 540, 2591, 602, 3769, 21022, 19614, 267, 22520, 540, 8825, 10591, 267, 7727, 543, 4255, 2223, 1767, 715, 3722, 18449, 7022, 8751, 11709, 15147, 6577, 538, 513, 3948, 713, 3018, 563, 4913, 267, 2146, 1072, 7740, 9863, 547, 581, 2629, 585, 3246, 1416, 543, 14178, 1857, 1072, 20261, 827, 5046, 883, 7925, 2950, 267, 1519, 6917, 2127, 609, 1906, 2564, 7426, 543, 1851, 19366, 2950, 269, 769, 476, 1708, 271, 267, 6837, 29253, 2724, 883, 2146, 1072, 7740, 607, 519, 6855, 3303, 4705, 856, 540, 1852, 896, 5518, 11686, 269, 634, 11686, 7245, 13986, 547, 1491, 5491, 585, 519, 7616, 267, 1256, 1498, 2146, 1072, 7740, 1419, 6039, 23700, 540, 27083, 267, 519, 5313, 6142, 1982, 585, 1970, 13867, 1004, 602, 519, 11686, 7245, 543, 25743, 5249, 547, 16094, 14020, 543, 1219, 1495, 563, 10666, 476, 11011, 2600, 540, 1004, 6039, 676, 519, 476, 1321, 267, 1822, 2146, 1072, 19190, 543, 9682, 4609, 18487, 616, 1970, 13867, 269, 7991, 1072, 7740, 4196, 827, 476, 272, 269, 275, 2929, 554, 537, 1088, 612, 1004, 543, 835, 3791, 540, 1004, 2713, 538, 6710, 563, 10376, 540, 519, 476, 272, 267, 6110, 1072, 4099, 3906, 616, 2196, 676, 12545, 1141, 693, 2547, 476, 7906, 2600, 540, 2818, 616, 2550, 267, 2687, 547, 715, 3722, 18449, 563, 2108, 10890, 4099, 15156, 2066, 519, 2197, 723, 5249, 24091, 547, 1577, 741, 3401, 538, 6837, 917, 602, 547, 6707, 4339, 519, 6855, 267, 649, 991, 547, 723, 7850, 2200, 2223, 15147, 6577, 1767, 563, 8253, 3025, 666, 2628, 585, 519, 3377, 269, 1809, 952, 596, 666, 267, 649, 991, 707, 1489, 563, 23871, 3578, 719, 568, 4922, 1224, 1851, 1004, 609, 2539, 26038, 543, 1851, 1762, 1004, 945, 616, 544, 1600, 538, 7963, 269, 3776, 3135, 568, 1224, 693, 1857, 8021, 267, 1851, 1004, 1510, 4950, 1569, 540, 741, 1378, 269, 4658, 1820, 856, 938, 4930, 543, 6494, 873, 547, 1920, 2818, 538, 7890, 2443, 649, 4309, 5022, 689, 3297, 13063, 5781, 982, 6362, 721, 585, 938, 3795, 269, 3776, 2984, 616, 4757, 539, 543, 3838, 1472, 2950, 267, 26354, 29065, 4254, 16478, 563, 2171, 2461, 8149, 547, 5329, 782, 18266, 719, 4930, 1863, 543, 2139, 547, 519, 1857, 269, 1809, 538, 1931, 547, 798, 602, 267, 649, 991, 1346, 945, 666, 6488, 547, 3565, 547, 938, 960, 547, 798, 865, 563, 2171, 3580, 2760, 2154, 596, 547, 2285, 267, 855, 649, 666, 2307, 596, 689, 519, 5377, 540, 938, 12271, 281, 4024, 596, 24946, 1018, 596, 666, 267, 865, 649, 666, 3136, 3246, 19761, 538, 519, 3028, 540, 5126, 543, 5168, 286, 0, 2108, 3722, 19324, 892, 6763, 585, 968, 3849, 2091, 19974, 23800, 1848, 1452, 2833, 666, 1331, 1919, 899, 2168, 543, 3929, 6057, 267, 10714, 267, 27877, 2790, 4576, 267, 543, 7622, 5208, 269, 1520, 951, 640, 849, 2882, 2146, 543, 11528, 3123, 27137, 607, 5208, 538, 519, 1126, 779, 2146, 543, 2833, 609, 10168, 543, 5312, 6710, 1765, 20357, 519, 1560, 779, 2566, 3210, 1281, 711, 10646, 1063, 16765, 6937, 689, 3330, 610, 3544, 519, 1753, 1604, 267, 621, 1175, 17767, 950, 972, 568, 513, 3463, 267, 543, 4422, 593, 1164, 10332, 269, 634, 811, 31984, 338, 513, 1126, 2833, 267, 519, 811, 2693, 646, 610, 1352, 568, 547, 7985, 689, 1919, 899, 2295, 2068, 543, 3987, 267, 4057, 4081, 9740, 267, 543, 6219, 6057, 2663, 538, 1272, 563, 2414, 948, 1857, 1072, 9439, 267, 14519, 267, 2146, 3401, 543, 2043, 1732, 1174, 519, 3123, 540, 31984, 338, 267, 3220, 269, 654, 754, 344, 32762, 2813, 519, 30449, 540, 589, 806, 10326, 2630, 269, 634, 3529, 14550, 519, 10779, 885, 602, 1590, 581, 9619, 547, 1628, 543, 1489, 14388, 2950, 543, 3885, 269, 634, 3762, 2099, 8801, 6689, 2833, 630, 3722, 19324, 1040, 634, 3529, 568, 12630, 538, 4057, 3037, 1107, 8801, 2146, 5054, 630, 3722, 19324, 264, 1107, 602, 568, 14869, 539, 538, 11528, 31716, 267, 3775, 6883, 621, 540, 5567, 2556, 547, 1489, 513, 14762, 2146, 563, 763, 4998, 1935, 547, 31984, 338, 568, 835, 602, 11151, 519, 991, 585, 782, 2157, 540, 2533, 281, 676, 4227, 519, 2959, 540, 2566, 538, 1004, 779, 2729, 269, 25417, 17841, 3347, 609, 513, 2385, 610, 27877, 666, 849, 948, 547, 17280, 513, 1126, 689, 519, 2360, 540, 2566, 543, 666, 7794, 519, 2679, 7161, 540, 6043, 269, 901, 1445, 593, 14304, 3885, 8825, 2188, 1765, 516, 706, 1424, 2566, 267, 2679, 17841, 3347, 267, 543, 14304, 15970, 1983, 1765, 732, 4295, 2694, 540, 519, 16777, 3201, 20321, 476, 275, 1411, 4791, 4693, 543, 786, 4983, 875, 7722, 2146, 547, 2061, 519, 1279, 3856, 2360, 540, 31984, 338, 269, 634, 10700, 3804, 540, 713, 1982, 568, 547, 3247, 519, 4783, 540, 8194, 543, 2322, 1453, 593, 513, 1007, 18330, 540, 4824, 3929, 543, 2168, 1072, 269, 0, 19102, 1078, 20381, 640, 896, 6182, 6403, 916, 341, 7238, 339, 333, 18962, 267, 28645, 7822, 8943, 6659, 547, 14117, 267, 19360, 454, 19102, 1078, 20381, 640, 729, 9571, 896, 519, 6182, 6403, 916, 341, 7238, 339, 333, 18962, 538, 10323, 19360, 593, 4864, 476, 273, 267, 476, 1708, 273, 267, 16550, 519, 19360, 545, 25561, 1670, 8433, 630, 8379, 302, 264, 547, 6318, 519, 28645, 7822, 8943, 585, 519, 18962, 547, 14117, 269, 901, 568, 1631, 519, 3791, 18962, 538, 19360, 609, 14117, 28645, 7822, 8943, 538, 1198, 1107, 1310, 9105, 10937, 543, 918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18851, 10472, 9074, 5932, 513, 1849, 1304, 1362, 547, 6494, 1239, 692, 2006, 1302, 547, 519, 7746, 3989, 538, 519, 9074, 1347, 684, 12163, 5228, 23094, 1104, 2608, 692, 5814, 795, 5459, 454, 5814, 22153, 531, 692, 5814, 1347, 684, 4671, 659, 7531, 3698, 1449, 6958, 4233, 263, 318, 18743, 2187, 825, 5727, 9008, 7400, 1031, 585, 519, 3483, 540, 17431, 780, 825, 875, 547, 6494, 513, 1599, 936, 519, 772, 7894, 23094, 547, 519, 19720, 563, 825, 8173, 825, 9041, 18743, 14277, 5417, 1029, 11687, 19312, 815, 834, 611, 4765, 2361, 4840, 825, 2132, 9041, 18743, 7531, 5035, 1849, 1304, 10031, 825, 5727, 320, 1362, 547, 6494, 1239, 936, 513, 772, 7894, 23094, 568, 5932, 692, 825, 5398, 12793, 912, 825, 6494, 910, 15920, 1239, 547, 519, 23094, 454, 825, 6494, 6958, 15635, 910, 15920, 513, 17626, 1242, 1599, 547, 519, 23094, 12163, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 16579, 525, 519, 7817, 543, 5036, 2232, 543, 772, 291, 4916, 1442, 3236, 4756, 12163, 1038, 3984, 815, 1347, 684, 4671, 659, 269, 10676, 454, 1038, 2823, 815, 1347, 684, 4671, 659, 269, 1636, 454, 1038, 1948, 321, 18860, 815, 476, 9083, 275, 454, 1038, 1582, 14491, 337, 815, 630, 10676, 267, 2823, 994, 1038, 1582, 269, 11070, 4916, 1442, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 32707, 16165, 4456, 2020, 825, 1219, 6494, 4311, 267, 20444, 326, 2187, 1038, 5727, 338, 754, 513, 20444, 326, 547, 519, 23094, 12163, 1038, 1582, 269, 11070, 4916, 1442, 4732, 754, 1729, 27203, 5459, 6155, 7927, 263, 916, 326, 1070, 1582, 14491, 337, 2020, 825, 1219, 6494, 6958, 15635, 4311, 267, 1775, 6958, 4233, 22561, 2187, 1038, 5727, 338, 518, 658, 1125, 519, 3009, 540, 513, 1599, 543, 6494, 621, 519, 23094, 12163, 1038, 17626, 1242, 318, 15953, 815, 22153, 531, 6155, 7927, 6025, 652, 6958, 4233, 8807, 15635, 6831, 1712, 994, 1038, 1582, 269, 11070, 4916, 1442, 4732, 754, 1729, 4433, 518, 658, 1242, 318, 15953, 267, 1582, 14491, 337, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 1038, 20444, 326, 815, 834, 2662, 7241, 5048, 4422, 1934, 907, 4799, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 2745, 2891, 31590, 921, 10222, 611, 5602, 2745, 2891, 293, 15505, 2144, 560, 749, 523, 15419, 258, 30605, 674, 15505, 530, 2273, 620, 338, 26927, 573, 7645, 324, 5903, 324, 2144, 560, 749, 339, 912, 4580, 815, 11713, 1721, 6241, 538, 2039, 263, 274, 2187, 825, 4604, 6910, 8443, 7481, 825, 585, 4737, 538, 2039, 263, 274, 2187, 1038, 4604, 314, 26383, 4940, 6572, 8443, 20285, 258, 674, 15505, 513, 639, 613, 17754, 454, 1721, 6241, 538, 4604, 912, 825, 1820, 263, 26383, 994, 0, 12163, 19445, 5649, 32513, 658, 18258, 454, 1607, 1383, 14509, 513, 3059, 3403, 593, 8930, 476, 273, 267, 16493, 519, 1267, 3097, 3097, 1607, 1383, 3009, 568, 538, 519, 1857, 6389, 780, 3725, 9679, 3778, 454, 24801, 454, 12041, 15235, 476, 11261, 15235, 476, 13517, 454, 24801, 454, 10111, 32221, 631, 1092, 4848, 453, 272, 268, 3066, 268, 1001, 276, 453, 453, 7078, 2813, 454, 20701, 5814, 544, 571, 320, 1948, 322, 8712, 519, 631, 6938, 288, 5399, 454, 5814, 942, 1948, 322, 8712, 519, 942, 5399, 692, 258, 13729, 1575, 540, 4756, 543, 2175, 454, 335, 2313, 3719, 2023, 815, 544, 571, 320, 14371, 335, 1470, 263, 273, 264, 567, 1948, 2171, 616, 2469, 547, 1224, 2418, 593, 8930, 476, 273, 454, 335, 2313, 3719, 2023, 6155, 597, 9852, 571, 320, 6185, 7644, 318, 2562, 264, 1948, 9377, 1149, 519, 8930, 10342, 607, 606, 3403, 692, 339, 787, 912, 453, 6112, 6936, 912, 453, 453, 335, 2313, 3719, 2023, 18667, 3890, 825, 1948, 5649, 338, 519, 8930, 454, 453, 14851, 7903, 3719, 2023, 18667, 3890, 2652, 476, 272, 281, 672, 3097, 4848, 13537, 834, 335, 2313, 3719, 2023, 568, 4400, 257, 672, 1948, 18744, 950, 519, 8930, 568, 670, 26996, 786, 1820, 1945, 454, 453, 453, 5503, 4732, 2748, 263, 271, 269, 276, 264, 8587, 1948, 310, 320, 1080, 476, 4335, 916, 547, 1224, 1586, 563, 21955, 6206, 4580, 11328, 4533, 912, 13537, 834, 4840, 0, 258, 713, 7097, 12220, 1523, 540, 8708, 692, 258, 29597, 619, 616, 1022, 1843, 602, 6585, 606, 17062, 1297, 540, 824, 3615, 269, 3097, 258, 13575, 267, 11149, 1683, 513, 1259, 547, 1569, 519, 8659, 3615, 3097, 258, 543, 547, 621, 4733, 936, 873, 780, 4289, 3519, 1555, 518, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 316, 1948, 1592, 8223, 547, 1711, 513, 1592, 733, 1778, 518, 454, 4289, 3519, 1555, 518, 273, 815, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 2639, 3553, 3519, 1555, 518, 272, 815, 1305, 17338, 3519, 1555, 518, 272, 264, 1948, 1305, 8223, 547, 1711, 513, 1305, 8708, 689, 519, 1592, 454, 3553, 3519, 1555, 518, 273, 815, 1305, 17338, 3519, 1555, 518, 273, 994, 3553, 4462, 542, 815, 1305, 3519, 1555, 518, 272, 1923, 1305, 3519, 1555, 518, 273, 3097, 2745, 4590, 2745, 263, 3553, 4462, 542, 2020, 2745, 4590, 14654, 921, 3519, 1555, 518, 815, 630, 272, 267, 1412, 1042, 3299, 476, 273, 264, 1948, 24042, 8223, 547, 1711, 513, 24042, 733, 1778, 518, 454, 2745, 6025, 340, 921, 3519, 1555, 518, 2020, 2745, 4590, 18743, 3519, 1555, 518, 815, 2715, 272, 281, 262, 14140, 3299, 476, 273, 281, 262, 16149, 262, 348, 1948, 9598, 8223, 547, 1711, 513, 9598, 733, 1778, 518, 454, 2745, 5560, 1112, 3519, 1555, 518, 264, 0, 258, 713, 7097, 12220, 1523, 540, 2796, 9614, 692, 258, 589, 2796, 9614, 568, 606, 1843, 602, 11225, 519, 678, 29025, 2796, 547, 581, 3964, 950, 22589, 513, 609, 3948, 269, 634, 2796, 9614, 20362, 519, 7127, 883, 267, 543, 519, 14827, 689, 267, 519, 5551, 678, 29025, 2796, 585, 519, 11056, 540, 519, 3625, 540, 3009, 269, 11822, 30582, 616, 3254, 2630, 692, 5035, 2796, 10048, 4526, 10031, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 6449, 10938, 9191, 1345, 2187, 1038, 1820, 3488, 10938, 1505, 568, 1045, 12097, 1101, 8627, 5073, 8931, 825, 1219, 6449, 1410, 527, 9191, 1345, 267, 2300, 25292, 267, 2300, 19056, 267, 10250, 3724, 2187, 1038, 952, 2300, 25292, 2652, 7183, 912, 2018, 1820, 3488, 5591, 9868, 6659, 269, 5073, 1038, 3116, 912, 2018, 1820, 3488, 1492, 1739, 5470, 729, 6659, 281, 5073, 2018, 1820, 263, 1410, 322, 25292, 994, 1038, 2132, 6936, 1948, 6659, 9868, 568, 2141, 26793, 22562, 5035, 2796, 10048, 4526, 2026, 10031, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 4318, 13911, 815, 7183, 454, 1038, 1582, 4318, 19368, 815, 7183, 454, 1038, 1582, 6745, 15869, 3724, 815, 7183, 692, 825, 1219, 6449, 10938, 9191, 1345, 2187, 1038, 2132, 1582, 22562, 825, 1219, 6449, 1410, 527, 9191, 1345, 267, 2300, 25292, 267, 2300, 19056, 267, 10250, 3724, 2187, 1038, 1582, 4318, 13911, 815, 2300, 25292, 454, 1038, 1582, 4318, 19368, 815, 2300, 19056, 454, 1038, 1582, 6745, 15869, 3724, 815, 10250, 3724, 454, 1038, 2132, 6936, 1948, 6659, 9868, 568, 2141, 26793, 0, 5814, 10070, 454, 3698, 536, 12028, 9638, 531, 822, 571, 2187, 825, 2083, 320, 815, 11713, 825, 2083, 320, 27044, 263, 271, 267, 630, 271, 267, 25659, 822, 571, 314, 271, 28413, 672, 692, 825, 1247, 2083, 320, 912, 1038, 693, 783, 815, 2083, 320, 21014, 4590, 1038, 4994, 815, 693, 783, 314, 271, 2639, 1038, 2619, 815, 693, 783, 314, 272, 2639, 13872, 1038, 952, 630, 630, 2254, 2619, 314, 272, 281, 316, 538, 1767, 320, 264, 543, 2619, 314, 272, 281, 316, 11203, 15234, 2187, 2018, 1767, 320, 314, 12949, 314, 272, 281, 14963, 815, 476, 271, 692, 1038, 952, 630, 2254, 2619, 538, 1767, 320, 2187, 2018, 1767, 320, 314, 12949, 316, 815, 476, 271, 454, 2018, 585, 1775, 538, 2039, 263, 8161, 1341, 476, 272, 267, 7003, 9638, 531, 822, 571, 15892, 3546, 2083, 320, 27044, 263, 476, 271, 267, 630, 328, 267, 2619, 1341, 5493, 822, 571, 5157, 8079, 2020, 6112, 6936, 912, 825, 1767, 320, 815, 31460, 8931, 825, 2119, 912, 1038, 5493, 822, 571, 815, 3403, 4590, 825, 4849, 661, 29996, 13286, 912, 1038, 2736, 692, 825, 536, 12028, 9638, 531, 822, 571, 994, 825, 585, 1775, 538, 15044, 4433, 4660, 320, 2187, 1038, 1820, 9217, 994, 825, 1820, 4590, 0, 258, 339, 1112, 716, 4141, 538, 9226, 454, 258, 16694, 281, 713, 568, 513, 1079, 6345, 3014, 454, 5814, 11885, 607, 5286, 692, 4580, 815, 5286, 25910, 9230, 274, 267, 476, 274, 26895, 770, 4286, 17301, 2020, 3698, 2638, 318, 7773, 10031, 825, 952, 1022, 18828, 27904, 29033, 267, 476, 272, 264, 2525, 274, 264, 610, 1022, 18828, 27904, 29033, 267, 476, 271, 264, 2525, 274, 264, 610, 2040, 18828, 6155, 328, 698, 29033, 4297, 2525, 274, 610, 2040, 18828, 6155, 328, 698, 29033, 11468, 18737, 272, 316, 4297, 2525, 274, 912, 1038, 2132, 6936, 454, 825, 952, 1022, 18828, 27904, 29033, 267, 476, 272, 264, 2525, 268, 274, 264, 610, 1022, 18828, 27904, 29033, 267, 476, 271, 264, 2525, 268, 274, 264, 610, 2040, 18828, 6155, 328, 698, 29033, 4297, 2525, 268, 274, 610, 2040, 18828, 6155, 328, 698, 29033, 11468, 18737, 272, 316, 4297, 2525, 268, 274, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 1404, 4671, 1248, 10031, 825, 1535, 815, 703, 9272, 6600, 30948, 568, 6345, 2715, 339, 1248, 348, 262, 338, 1535, 2990, 286, 27328, 825, 586, 815, 703, 9272, 6600, 30948, 568, 6345, 2715, 339, 1248, 348, 262, 338, 586, 2990, 286, 27328, 825, 2119, 912, 1038, 952, 4604, 314, 344, 267, 1535, 316, 2525, 271, 912, 2018, 4604, 314, 344, 267, 1535, 24557, 339, 1248, 454, 1038, 3116, 912, 2018, 1404, 4671, 1248, 4590, 825, 4849, 12039, 13286, 912, 1038, 1404, 4671, 1248, 10797, 339, 1248, 815, 476, 272, 454, 332, 913, 815, 476, 280, 454, 6112, 1847, 3436, 271, 912, 825, 1820, 630, 4580, 994, 825, 1404, 4671, 1248, 4590, 825, 952, 2638, 318, 7773, 10031, 1038, 1820, 630, 325, 257, 32156, 2715, 339, 1248, 348, 814, 4465, 32405, 1038, 2736, 454, 825, 2490, 815, 2490, 265, 268, 272, 454, 825, 1847, 815, 1847, 910, 272, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 12163, 15253, 1833, 540, 513, 11483, 309, 3758, 8066, 513, 3349, 692, 10112, 18870, 568, 602, 1082, 540, 519, 3349, 2418, 28197, 2933, 563, 825, 1284, 2744, 13496, 676, 912, 1038, 1234, 680, 5217, 2147, 2418, 609, 513, 10156, 5569, 3248, 1038, 11778, 538, 1447, 1239, 602, 2115, 547, 581, 1060, 523, 547, 519, 3758, 3248, 1038, 9540, 518, 3758, 2450, 2336, 825, 634, 2110, 5569, 630, 288, 14389, 6993, 1412, 322, 10757, 5569, 10807, 6074, 568, 519, 3090, 1412, 261, 262, 4553, 676, 1297, 563, 825, 2334, 1297, 568, 519, 4994, 540, 519, 3312, 1871, 538, 513, 30966, 5044, 563, 825, 20530, 18249, 14249, 630, 288, 14389, 6993, 1412, 935, 11437, 4786, 10807, 6585, 519, 3312, 3349, 781, 2418, 543, 1031, 585, 10920, 16054, 780, 825, 634, 19316, 3758, 6585, 513, 7503, 4786, 4553, 676, 519, 19316, 6041, 540, 519, 3349, 780, 763, 5690, 568, 912, 825, 476, 272, 910, 8073, 513, 7503, 4786, 602, 786, 581, 1031, 547, 12990, 2418, 689, 519, 3349, 912, 1038, 476, 272, 269, 272, 910, 2480, 534, 998, 519, 3349, 267, 1293, 782, 2281, 262, 2418, 20825, 883, 513, 29005, 8675, 563, 2018, 9218, 11768, 568, 2715, 842, 267, 8675, 348, 1141, 912, 2018, 703, 568, 519, 4994, 1297, 540, 513, 6241, 689, 519, 3349, 267, 4358, 689, 476, 271, 563, 2018, 28740, 8675, 6585, 782, 519, 2418, 540, 602, 6241, 563, 3546, 20233, 719, 568, 2715, 11415, 267, 703, 348, 1141, 912, 4449, 476, 5569, 568, 519, 3312, 1871, 689, 519, 6241, 563, 4449, 476, 703, 568, 513, 4831, 799, 6585, 519, 1297, 540, 20825, 540, 602, 1871, 563, 3546, 7151, 281, 346, 476, 271, 281, 2715, 874, 19189, 318, 288, 281, 4831, 267, 8360, 29758, 281, 4831, 348, 2676, 4449, 16875, 4429, 4449, 16875, 562, 281, 2715, 874, 19189, 318, 311, 281, 4831, 267, 8360, 318, 312, 281, 4831, 348, 7684, 454, 2018, 26659, 4063, 20620, 3546, 9122, 593, 519, 27573, 5569, 910, 519, 20125, 6041, 540, 513, 19316, 1871, 454, 4449, 476, 568, 476, 273, 3197, 1279, 910, 834, 261, 343, 257, 630, 3602, 1535, 568, 513, 2582, 7857, 11850 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 524, 538, 521, 912, 1038, 952, 1412, 322, 8339, 529, 12294, 10031, 2018, 2132, 1412, 12148, 7055, 1038, 3116, 912, 2018, 2132, 1412, 16178, 28847, 3698, 1022, 318, 869, 27664, 274, 4433, 2187, 825, 585, 524, 538, 521, 912, 1038, 9206, 815, 524, 18994, 12294, 4590, 825, 2132, 9206, 692, 3698, 1022, 318, 869, 27664, 275, 4433, 2187, 825, 9206, 815, 8771, 454, 825, 585, 524, 538, 521, 912, 1038, 9206, 815, 9206, 610, 524, 18994, 12294, 4590, 825, 2132, 9206, 692, 3698, 1022, 318, 869, 27664, 276, 4433, 2187, 825, 585, 524, 538, 521, 912, 1038, 952, 711, 524, 18994, 12294, 10031, 2018, 2132, 8771, 454, 825, 2132, 6936, 454, 20701, 454, 3698, 1022, 318, 869, 27664, 272, 4433, 2187, 825, 1820, 3488, 1415, 318, 869, 27664, 272, 3217, 513, 5569, 5073, 825, 585, 524, 538, 521, 912, 1038, 1820, 3488, 1721, 1915, 538, 5569, 264, 5073, 1038, 952, 524, 18994, 12294, 10031, 2018, 1820, 3488, 604, 519, 1915, 568, 2539, 2013, 267, 2132, 3020, 543, 1439, 519, 1599, 269, 5073, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 1820, 3488, 604, 519, 1915, 568, 711, 2539, 2013, 267, 2132, 7301, 543, 1439, 519, 1599, 269, 5073, 2018, 2132, 8771, 692, 3698, 1022, 318, 869, 27664, 273, 4433, 2187, 825, 1820, 3488, 1415, 318, 869, 27664, 273, 3217, 513, 5569, 5073, 825, 585, 524, 538, 521, 912, 1038, 1820, 3488, 1721, 1915, 538, 5569, 5073, 1038, 952, 1412, 322, 8339, 529, 12294, 10031, 2018, 1820, 3488, 604, 519, 5569, 834, 322, 257, 568, 2539, 2013, 630, 6518, 621, 568, 1070, 1439, 519, 1599, 543, 2132, 519, 5569, 834, 12148, 2668, 5073, 2018, 2132, 1412, 12148, 7055, 1038, 3116, 912, 2018, 1820, 3488, 604, 519, 5569, 834, 322, 257, 568, 711, 2539, 2013, 630, 8117, 621, 568, 1070, 1439, 519, 1599, 543, 2132, 519, 5569, 834, 16178, 2668, 5073, 2018, 2132, 1412, 16178, 28847, 3698, 1022, 318, 869, 27664, 274, 4433, 2187, 825, 1820, 3488, 1415, 318, 869, 27664, 274, 3217, 513, 5569, 5073, 825, 585, 524, 538, 521, 912, 1038, 1820, 3488, 1721, 1915, 538, 5569, 5073, 1038, 1820, 3488, 10139, 2436, 524, 568, 2539, 2013, 547, 513, 4756, 1572, 9206, 5073, 1038, 9206, 815, 524, 18994, 12294, 4590, 825, 1820, 3488, 8873, 519, 4756, 9206, 267, 799, 786, 2132, 519, 1871, 585, 519, 2063, 1915, 538, 519, 5569, 5073, 825, 2132, 9206, 692, 3698, 1022, 318, 869, 27664, 275, 4433, 2187, 825, 1820, 3488, 1415, 318, 869, 27664, 275, 3217, 513, 5569, 5073, 825, 1820, 3488, 320, 4756, 1572, 834, 4148, 698, 257, 568, 1305, 547, 8771, 5073, 825, 9206, 815, 8771, 454, 825, 585, 524, 538, 521, 912, 1038, 1820, 3488, 1721, 1915, 538, 5569, 5073, 1038, 9206, 815, 9206, 610, 524, 18994, 12294, 4590, 1038, 1820, 3488, 4148, 698, 568, 1305, 547, 9206, 610, 519, 5168, 1871, 540, 524, 18994, 12294, 5073, 1038, 1820, 3488, 517, 576, 524, 18994, 12294, 568, 3020, 267, 9206, 568, 3020, 267, 1287, 9206, 13978, 3020, 1317, 3020, 610, 7301, 568, 3020, 5073, 1038, 1820, 263, 4148, 698, 994, 825, 2132, 9206, 692, 3698, 1022, 318, 869, 27664, 276, 4433, 2187, 825, 1820, 3488, 1415, 318, 869, 27664, 276, 3217, 513, 5569, 5073, 825, 585, 524, 538, 521, 912, 1038, 1820, 3488, 1721, 1915, 538, 5569, 5073, 1038, 1820, 3488, 604, 524, 568, 711, 2539, 2013, 630, 14140, 5580, 2013, 1915, 1070, 2132, 7301, 543, 1439, 519, 1599, 5073, 1038, 952, 711, 524, 18994, 12294, 10031, 2018, 2132, 8771, 454, 825, 1820, 3488, 604, 1100, 5580, 2013, 3197, 1336, 267, 2132, 3020, 5073, 825, 2132, 6936, 454, 0, 18851, 19865, 476, 280, 692, 2237, 513, 1599, 602, 14509, 519, 3758, 1913, 17902, 543, 13976, 513, 1592, 609, 835, 3693, 829, 2262, 563, 2237, 1079, 8747, 540, 713, 1599, 267, 835, 1210, 519, 16289, 1505, 543, 519, 824, 1210, 519, 18986, 558, 512, 815, 512, 1341, 1496, 343, 14073, 7617, 835, 3217, 3476, 547, 2196, 286, 4208, 2496, 11405, 281, 5291, 2517, 20459, 7090, 273, 2593, 11305, 1712, 270, 5320, 4289, 18258, 269, 5727, 7531, 3698, 1592, 10734, 4265, 518, 273, 10031, 825, 512, 815, 1592, 4590, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 585, 1899, 538, 1710, 912, 1038, 1899, 815, 1899, 25331, 29328, 4590, 1038, 512, 6910, 263, 1467, 994, 825, 1820, 3488, 4289, 10734, 4265, 518, 273, 2944, 256, 262, 9239, 3698, 1592, 10734, 4265, 518, 272, 10031, 825, 512, 815, 1592, 4590, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 585, 1899, 538, 1710, 912, 1038, 1899, 815, 1899, 25331, 29328, 4590, 1038, 512, 815, 512, 1341, 1496, 1467, 2639, 825, 1820, 3488, 4289, 10734, 4265, 518, 272, 2944, 256, 17210, 4289, 10734, 4265, 518, 273, 4590, 4289, 10734, 4265, 518, 272, 10797, 18851, 1492, 512, 815, 512, 1341, 1496, 343, 316, 1505, 568, 513, 2603, 3476, 267, 27229, 1317, 527, 2306, 513, 1007, 1592, 1142, 942, 3079, 454, 1993, 1175, 4946, 547, 606, 4540, 1592, 12163, 0, 18851, 19865, 476, 276, 567, 3503, 513, 1599, 1572, 568, 5334, 9285, 602, 3217, 513, 1592, 607, 513, 9936, 454, 663, 7024, 6936, 952, 519, 1592, 568, 15044, 538, 26799, 1931, 543, 8771, 6382, 269, 1280, 1383, 1384, 9563, 529, 5334, 9285, 8443, 272, 267, 476, 273, 267, 476, 273, 7481, 12148, 454, 9563, 529, 5334, 9285, 8443, 262, 321, 3299, 1412, 320, 262, 7481, 16178, 454, 20701, 454, 3698, 568, 5334, 9285, 9272, 8217, 2187, 825, 2132, 3403, 8217, 2652, 15044, 9272, 8217, 9239, 339, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 6540, 2745, 263, 529, 5334, 9285, 6025, 4917, 0, 18851, 19865, 476, 272, 692, 19352, 513, 10518, 6516, 585, 519, 1739, 1982, 269, 1548, 1281, 519, 1982, 1820, 2496, 3698, 536, 18750, 2187, 825, 605, 323, 815, 513, 18750, 267, 1990, 994, 825, 1820, 18750, 267, 605, 323, 994, 825, 2132, 605, 323, 692, 3698, 513, 3287, 267, 586, 2187, 825, 1535, 815, 1535, 1341, 476, 272, 454, 825, 2132, 1535, 2608, 586, 692, 3698, 524, 3287, 267, 586, 267, 1990, 2187, 825, 2698, 815, 1535, 1341, 586, 1341, 1990, 454, 825, 4009, 815, 536, 6025, 4973, 264, 1262, 273, 454, 825, 2132, 4009, 692, 343, 815, 476, 272, 454, 344, 815, 1535, 1341, 476, 272, 454, 2745, 6262, 3287, 267, 586, 266, 274, 267, 1535, 20742, 4917, 20701, 454, 3698, 536, 18750, 2187, 825, 1820, 3488, 10818, 536, 5073, 825, 1820, 3488, 345, 25341, 3299, 1990, 994, 825, 605, 323, 815, 513, 18750, 267, 1990, 994, 825, 1820, 18750, 267, 605, 323, 994, 825, 2132, 605, 323, 7531, 3698, 513, 3287, 267, 586, 2187, 825, 1820, 3488, 10818, 513, 5073, 825, 1820, 3488, 343, 25341, 3299, 1535, 994, 825, 1820, 3488, 344, 25341, 3299, 586, 994, 825, 1535, 815, 1535, 1341, 476, 272, 454, 825, 1820, 3488, 343, 25341, 3299, 1535, 994, 825, 1820, 3488, 4958, 9506, 1535, 2608, 586, 3299, 1535, 2608, 586, 994, 825, 2132, 1535, 2608, 586, 7531, 3698, 524, 3287, 267, 586, 267, 1990, 2187, 825, 1820, 3488, 10818, 524, 5073, 825, 1820, 3488, 343, 25341, 3299, 1535, 994, 825, 1820, 3488, 344, 25341, 3299, 586, 994, 825, 1820, 3488, 345, 25341, 3299, 1990, 994, 825, 2698, 815, 1535, 1341, 586, 1341, 1990, 454, 825, 1820, 3488, 20135, 25341, 3299, 2698, 994, 825, 4009, 815, 536, 6025, 4973, 264, 1262, 273, 454, 825, 1820, 3488, 338, 13645, 25341, 3299, 4009, 994, 825, 2132, 4009, 7531, 2745, 3488, 1029, 10852, 1029, 5073, 343, 815, 476, 272, 454, 2745, 3488, 343, 25341, 3299, 1535, 994, 344, 815, 1535, 1341, 476, 272, 454, 2745, 3488, 344, 25341, 3299, 586, 994, 2745, 6262, 3287, 267, 586, 266, 274, 267, 1535, 20742, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 513, 1883, 3959, 547, 3715, 519, 1871, 540, 513, 8770, 2707, 267, 607, 621, 4422, 3564, 519, 6071, 2179, 540, 519, 8770, 1459, 538, 519, 1426, 543, 6212, 593, 519, 8167, 540, 519, 6219, 602, 267, 2390, 28453, 267, 568, 12842, 538, 513, 1106, 602, 568, 28772, 10999, 3730, 269, 12713, 17739, 2225, 630, 328, 4318, 1421, 519, 2702, 540, 519, 8770, 547, 581, 5950, 689, 519, 1426, 5119, 543, 1151, 889, 28895, 264, 568, 519, 1101, 5057, 540, 6915, 822, 22355, 269, 589, 1434, 6915, 17739, 2225, 24283, 689, 519, 2164, 540, 1896, 2188, 543, 9691, 5673, 593, 519, 17522, 540, 519, 2067, 1426, 5119, 29932, 519, 2890, 560, 4450, 2813, 1282, 4393, 1765, 18490, 547, 519, 5305, 540, 519, 8770, 602, 3587, 2139, 585, 10338, 538, 519, 9667, 8778, 269, 769, 519, 2013, 540, 1530, 267, 6915, 822, 22355, 9691, 5673, 593, 884, 857, 566, 543, 621, 568, 2362, 585, 5214, 1530, 7135, 1496, 1724, 454, 1103, 713, 960, 649, 1031, 1530, 10276, 878, 1117, 7912, 547, 2333, 519, 1530, 1543, 540, 14039, 611, 2088, 543, 11877, 323, 965, 18829, 267, 609, 519, 2832, 547, 3895, 7004, 540, 22803, 1530, 883, 5214, 3029, 543, 2333, 922, 6915, 822, 22355, 269, 3973, 267, 519, 6211, 1198, 540, 519, 1114, 2472, 729, 7318, 676, 7110, 532, 31796, 6797, 2281, 609, 519, 1970, 7636, 2597, 6824, 540, 519, 29230, 338, 919, 5833, 676, 538, 20117, 14039, 611, 2088, 12536, 563, 2171, 1336, 602, 519, 946, 540, 1530, 10276, 878, 1117, 7912, 3648, 2799, 519, 1530, 1543, 540, 14039, 611, 2088, 543, 713, 3606, 1530, 729, 7361, 6915, 659, 806, 1043, 630, 19749, 354, 10844, 15992, 5950, 689, 519, 5119, 1310, 538, 20117, 12536, 267, 799, 729, 538, 6876, 609, 3105, 1239, 593, 1426, 14290, 27109, 519, 5207, 1530, 6915, 17739, 2225, 1496, 1691, 454, 4940, 1717, 267, 18572, 540, 519, 1530, 2249, 538, 22542, 18038, 2643, 919, 4951, 602, 1152, 11877, 323, 965, 18829, 267, 607, 10353, 547, 6671, 18829, 267, 3361, 513, 7372, 7503, 540, 519, 22803, 1530, 1459, 538, 519, 7912, 883, 5214, 2249, 269, 1530, 884, 857, 566, 538, 2007, 6479, 14039, 611, 2088, 5423, 609, 1530, 10276, 878, 1117, 7912, 729, 26526, 2147, 547, 602, 540, 6915, 3228, 1881, 10568, 543, 6508, 2472, 1496, 3374, 454, 3910, 609, 22803, 1530, 543, 2725, 5353, 290, 903, 607, 5634, 2249, 543, 1530, 18404, 267, 513, 1134, 8153, 2707, 540, 6915, 19989, 5214, 1530, 267, 607, 2101, 2249, 269, 1530, 18404, 267, 5631, 3940, 27995, 267, 568, 849, 519, 8789, 2249, 630, 2568, 260, 1700, 3199, 8472, 538, 1434, 2298, 1530, 11656, 9493, 6814, 267, 4553, 676, 1530, 290, 903, 630, 1575, 547, 476, 1839, 8472, 543, 513, 1297, 540, 5634, 267, 1970, 2173, 12817, 2597, 1530, 31571, 1496, 4343, 454, 5475, 538, 20117, 12536, 267, 11877, 323, 965, 1922, 518, 7757, 14039, 611, 2088, 4951, 513, 2362, 570, 3722, 3379, 547, 14039, 611, 2088, 5423, 1210, 6671, 18829, 267, 7488, 540, 519, 1826, 540, 7912, 1031, 538, 741, 7041, 269, 901, 1223, 581, 1644, 547, 519, 12159, 540, 25168, 1156, 11169, 547, 6793, 15934, 31571, 1496, 4375, 454, 316, 543, 5924, 547, 519, 5108, 540, 15934, 6915, 5562, 30902, 1496, 2412, 454, 3910, 971, 607, 717, 17239, 1496, 6078, 454, 316, 13251, 676, 11877, 323, 965, 18829, 269, 769, 1899, 609, 713, 8367, 267, 538, 513, 3105, 960, 7231, 609, 18829, 540, 10568, 14859, 676, 700, 269, 2030, 30946, 454, 7176, 288, 8833, 267, 513, 2178, 5305, 540, 25168, 1156, 565, 15934, 7135, 729, 1336, 1496, 6246, 454, 28053, 21455, 729, 5340, 1210, 519, 700, 274, 6824, 267, 799, 3568, 519, 1530, 5950, 689, 519, 1426, 5119, 543, 27985, 2139, 585, 10338, 269, 1677, 6218, 519, 2322, 894, 8825, 15934, 2962, 540, 1530, 29979, 538, 1585, 3029, 630, 7704, 267, 590, 15598, 293, 267, 543, 590, 12396, 293, 1070, 22031, 294, 273, 2281, 941, 6534, 547, 606, 19842, 2566, 269, 634, 8801, 2360, 540, 7250, 25681, 4598, 941, 10423, 538, 2475, 2281, 267, 799, 17820, 513, 1713, 6175, 538, 23812, 543, 606, 2333, 540, 31298, 295, 5305, 543, 19505, 12678, 1377, 269, 26929, 566, 267, 609, 9444, 9399, 6862, 700, 274, 8454, 267, 4628, 25559, 539, 519, 23812, 6175, 267, 855, 31298, 295, 24694, 729, 4389, 538, 2281, 29979, 609, 14039, 611, 2088, 29230, 338, 919, 267, 3379, 547, 2475, 14129, 2281, 267, 543, 590, 12396, 293, 729, 1336, 547, 581, 519, 1034, 2500, 2126, 269, 769, 1840, 267, 590, 12396, 293, 23418, 2211, 539, 2281, 4951, 1100, 19505, 12678, 2333, 538, 3210, 547, 19842, 2566, 269, 22388, 9146, 540, 20188, 829, 2135, 9179, 729, 811, 2500, 1210, 590, 12396, 293, 267, 982, 2901, 590, 15598, 293, 610, 9399, 267, 10223, 602, 519, 1164, 5834, 540, 5214, 1530, 538, 590, 12396, 293, 1522, 723, 5129, 513, 1909, 563, 1103, 6211, 1062, 267, 1530, 15934, 2534, 568, 5631, 8200, 593, 519, 2702, 547, 2844, 15934, 2534, 543, 4227, 11476, 2534, 267, 971, 607, 13382, 343, 543, 2558, 343, 305, 267, 543, 2769, 13276, 523, 29952, 623, 1496, 4510, 454, 4940, 5637, 538, 1591, 2528, 543, 538, 24155, 267, 519, 8244, 540, 1530, 568, 513, 1883, 3815, 8159, 13382, 343, 543, 2558, 343, 305, 2534, 1496, 3393, 454, 3910, 799, 3340, 606, 7850, 31093, 3761, 1496, 5325, 454, 3910, 543, 621, 568, 2539, 896, 31093, 29438, 1746, 2175, 1496, 4366, 454, 25897, 343, 2534, 729, 3648, 2799, 538, 1530, 23418, 2211, 539, 2281, 630, 306, 15598, 293, 267, 590, 12396, 293, 267, 543, 9399, 1040, 24951, 519, 1614, 1114, 1530, 7110, 725, 267, 9399, 7902, 547, 581, 519, 2547, 2500, 835, 630, 335, 454, 283, 476, 271, 269, 9826, 1070, 6466, 590, 12396, 293, 729, 519, 1034, 3742, 267, 2059, 609, 590, 15598, 293, 269, 25392, 602, 519, 2179, 540, 1530, 29979, 547, 2281, 607, 9399, 729, 2362, 982, 1346, 538, 519, 700, 274, 6824, 267, 540, 1312, 590, 15598, 293, 543, 590, 12396, 293, 267, 519, 3152, 7145, 540, 519, 8545, 538, 2810, 13382, 343, 2534, 1522, 581, 1813, 547, 519, 1114, 884, 857, 566, 540, 519, 29979, 1530, 267, 607, 1134, 607, 267, 693, 2547, 13148, 267, 547, 519, 865, 10777, 968, 9795, 1198, 892, 630, 25988, 29230, 338, 622, 5288, 269, 6986, 3114, 7623, 1040, 645, 1069, 532, 5069, 1696, 620, 269, 1496, 5392, 454, 3910, 538, 513, 6476, 540, 1530, 10276, 878, 1117, 3536, 543, 1530, 18404, 7145, 538, 5009, 13382, 311, 2534, 267, 2322, 4464, 602, 1530, 814, 513, 1114, 1764, 593, 1591, 17550, 950, 621, 568, 13950, 607, 1426, 3334, 610, 607, 1796, 17038, 821, 1530, 25202, 6675, 269, 21894, 519, 2014, 568, 267, 519, 4767, 2333, 538, 13382, 311, 2534, 1310, 1530, 21455, 666, 2491, 519, 2539, 19505, 12678, 1377, 538, 519, 7222, 14129, 2281, 267, 607, 1530, 17466, 13382, 343, 4481, 23465, 609, 8652, 704, 6448, 1496, 2004, 454, 763, 13276, 523, 14535, 10405, 2558, 343, 305, 267, 1927, 609, 555, 328, 1819, 28845, 543, 715, 4696, 15771, 267, 13822, 519, 555, 328, 1819, 28845, 1062, 267, 513, 2101, 10408, 2699, 2135, 15202, 538, 3592, 1169, 2713, 1591, 1496, 7906, 454, 4940, 2558, 343, 305, 10525, 513, 3376, 23506, 543, 4249, 606, 1271, 15934, 1909, 267, 711, 1152, 676, 23478, 4227, 5973, 757, 547, 519, 555, 328, 1819, 28845, 543, 555, 328, 1819, 28845, 829, 31038, 848, 1949, 267, 855, 849, 676, 2047, 4227, 670, 273, 454, 663, 20188, 829, 2135, 1938, 269, 769, 938, 1353, 267, 1530, 21455, 4625, 15286, 519, 2530, 540, 2558, 343, 305, 2534, 2390, 19842, 2566, 269, 6684, 267, 3105, 538, 20117, 2090, 7000, 602, 1530, 21455, 4389, 19842, 3441, 543, 2404, 1024, 25570, 640, 676, 2810, 2558, 343, 305, 2534, 538, 1114, 1591, 3515, 1496, 7367, 454, 4940, 2201, 519, 824, 1688, 267, 1530, 17466, 15934, 11476, 723, 4057, 1808, 2534, 1996, 519, 9097, 12274, 540, 9474, 4811, 267, 543, 713, 1223, 2491, 519, 3668, 540, 2333, 538, 519, 29296, 570, 3722, 585, 590, 12396, 293, 563, 1103, 1896, 1158, 4525, 1530, 8192, 6981, 1281, 711, 2743, 519, 8192, 4704, 2418, 269, 1530, 6915, 3228, 2305, 543, 519, 2504, 540, 1530, 10276, 878, 1117, 1426, 568, 835, 540, 519, 2994, 602, 666, 2087, 1480, 1530, 6484, 269, 3776, 2164, 5693, 5815, 602, 713, 4640, 666, 581, 2417, 4824, 676, 519, 946, 540, 11877, 323, 965, 18829, 540, 513, 10568, 2861, 5119, 267, 3976, 5009, 519, 7503, 540, 22803, 547, 5214, 1530, 269, 901, 568, 540, 1880, 2956, 547, 519, 1426, 2872, 267, 6236, 602, 835, 540, 519, 1292, 10256, 540, 1426, 5647, 568, 519, 991, 547, 1265, 3435, 547, 22926, 543, 1644, 1072, 2042, 563, 2080, 514, 267, 4080, 2164, 5031, 602, 267, 1310, 20533, 1480, 12536, 267, 1530, 10276, 878, 1117, 267, 11877, 323, 965, 1922, 518, 7757, 6366, 30103, 4831, 9711, 19842, 3441, 538, 31796, 2281, 269, 4014, 2417, 2090, 616, 2877, 547, 6166, 267, 538, 24155, 267, 519, 15934, 1198, 540, 1530, 11656, 267, 11877, 323, 965, 1922, 518, 7757, 6366, 30103, 267, 938, 1353, 6920, 602, 2799, 1530, 1979, 582, 4920, 4146, 2509, 5214, 3029, 568, 835, 540, 519, 1896, 15028, 10305, 4299, 676, 11877, 323, 965, 18829, 267, 543, 799, 8309, 547, 519, 19349, 540, 519, 9422, 3601, 540, 519, 3803, 1587, 269, 0, 763, 7576, 566, 267, 2208, 267, 543, 1071, 2297, 12412, 540, 29370, 847, 999, 1852, 519, 7041, 1184, 540, 1804, 8397, 21472, 5821, 538, 2520, 558, 17467, 454, 2691, 28221, 2326, 616, 16041, 267, 3875, 29370, 847, 999, 949, 7576, 622, 267, 1332, 267, 543, 1071, 2297, 576, 1354, 513, 2101, 21472, 28230, 563, 1607, 7344, 2623, 4386, 538, 1585, 2326, 971, 607, 2781, 906, 267, 8407, 267, 4672, 267, 543, 7725, 540, 519, 3047, 779, 12933, 1141, 13091, 4386, 269, 1717, 267, 519, 5169, 543, 4720, 540, 891, 29370, 847, 999, 616, 711, 6956, 543, 1223, 581, 1031, 547, 6895, 543, 3589, 519, 12136, 540, 2101, 16767, 563, 8794, 1533, 6361, 7308, 19603, 4224, 6323, 6901, 5340, 693, 519, 3864, 14271, 577, 8527, 1258, 24658, 11120, 1006, 630, 2464, 27184, 267, 717, 1066, 984, 548, 267, 5333, 1070, 519, 11134, 786, 1685, 22636, 6901, 540, 7725, 16042, 5821, 630, 275, 291, 2473, 11920, 2890, 339, 558, 2762, 264, 543, 5659, 891, 1239, 1210, 1896, 2780, 2257, 4485, 1519, 24892, 543, 5667, 10967, 14876, 1565, 2553, 563, 763, 960, 786, 849, 1331, 10230, 7344, 20592, 540, 17795, 3060, 1646, 269, 634, 1292, 2243, 786, 581, 547, 2697, 875, 519, 840, 15479, 832, 547, 5821, 538, 7725, 543, 824, 28221, 2326, 2199, 1125, 593, 519, 2104, 17795, 7077, 950, 16042, 5821, 563, 763, 12854, 11134, 786, 581, 24892, 676, 31839, 12251, 11412, 731, 267, 7548, 540, 2983, 657, 31190, 693, 519, 715, 329, 867, 10418, 267, 513, 3444, 16162, 9918, 1382, 1770, 693, 519, 8818, 1063, 8212, 543, 2983, 657, 31190, 693, 519, 2160, 540, 14642, 5979, 269, 634, 11134, 949, 1685, 1896, 2110, 268, 543, 1279, 3856, 22631, 4721, 693, 519, 11536, 27184, 896, 519, 15569, 540, 3220, 269, 5484, 334, 527, 595, 20423, 333, 1512, 563, 268, 9049, 322, 538, 6323, 610, 2520, 2684, 12695, 267, 23295, 538, 27772, 2173, 2660, 6323, 267, 610, 12985, 6323, 610, 2520, 2684, 12695, 563, 268, 15443, 573, 919, 609, 13006, 1995, 538, 3621, 5752, 267, 2520, 727, 2559, 923, 267, 543, 1995, 689, 3684, 1565, 786, 581, 3922, 1242, 563, 24445, 476, 273, 281, 5741, 1376, 15489, 476, 1708, 273, 454, 1607, 1788, 568, 538, 1289, 476, 273, 267, 4358, 15489, 476, 1708, 273, 269, 0, 2005, 781, 835, 540, 519, 1158, 781, 1034, 5906, 22747, 281, 28130, 781, 897, 1601, 639, 595, 582, 641, 1314, 328, 18962, 10294, 513, 1533, 540, 6595, 2336, 31319, 26411, 5518, 681, 2378, 6130, 4856, 16699, 814, 10294, 513, 1533, 540, 6595, 936, 2810, 2534, 693, 519, 595, 582, 641, 1314, 328, 18962, 2282, 519, 3854, 267, 2372, 17010, 563, 763, 17083, 3947, 8128, 811, 8112, 538, 1210, 2229, 7482, 547, 2232, 519, 3510, 269, 12079, 10118, 17355, 18050, 1896, 4627, 1004, 689, 7404, 14252, 1310, 519, 18962, 3459, 547, 21074, 593, 11016, 563, 290, 582, 641, 1314, 328, 568, 1851, 519, 1158, 781, 1034, 5906, 22747, 543, 568, 12155, 547, 3728, 2173, 8221, 4224, 543, 16095, 8928, 269, 4208, 723, 594, 1500, 602, 3375, 888, 2414, 5150, 2200, 1862, 547, 2232, 513, 1761, 6595, 543, 20834, 1125, 519, 2556, 2200 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 8545, 547, 1020, 519, 9252, 2361, 1247, 715, 15425, 2322, 909, 519, 2556, 10451, 2030, 269, 901, 1271, 3375, 11214, 5423, 519, 2197, 950, 519, 1648, 16839, 540, 519, 11157, 625, 3357, 563, 763, 13372, 3459, 1210, 24232, 1648, 20749, 538, 5147, 476, 3192, 278, 609, 519, 5106, 540, 513, 476, 274, 5336, 310, 24232, 12681, 1379, 2030, 538, 26280, 517, 534, 267, 2274, 344, 974, 269, 634, 9252, 729, 13859, 689, 835, 540, 2030, 538, 26280, 517, 534, 267, 2274, 344, 974, 269, 634, 9252, 729, 13859, 689, 835, 540, 519, 19401, 1743, 2683, 676, 623, 301, 8016, 268, 21328, 4886, 15278, 630, 3633, 290, 1040, 1717, 267, 621, 729, 1152, 538, 476, 3192, 280, 602, 1804, 4336, 24232, 1379, 729, 3323, 547, 581, 10244, 539, 538, 570, 12685, 328, 267, 19186, 599, 543, 25120, 5174, 534, 267, 1379, 729, 3323, 547, 581, 10244, 539, 538, 570, 12685, 328, 267, 19186, 599, 543, 25120, 5174, 534, 267, 20698, 10044, 269, 5565, 476, 4649, 5336, 2171, 2371, 941, 20827, 538, 1142, 540, 891, 2127, 267, 4946, 476, 13136, 631, 2171, 540, 10451, 4390, 547, 519, 13198, 345, 517, 7470, 543, 8420, 5217, 476, 273, 269, 10463, 2929, 29054, 6361, 268, 11798, 6697, 538, 476, 3192, 280, 269, 901, 729, 4553, 538, 519, 1671, 5224, 1032, 676, 606, 3606, 1079, 476, 4649, 5336, 310, 2371, 1142, 538, 570, 12685, 328, 543, 25120, 5174, 534, 543, 1079, 476, 272, 269, 276, 24448, 12681, 2371, 538, 6022, 574, 11017, 517, 267, 8828, 10598, 4592, 267, 11093, 519, 2698, 24232, 1379, 6022, 574, 11017, 517, 267, 8828, 10598, 4592, 267, 11093, 519, 2698, 24232, 1379, 5108, 4390, 547, 606, 5863, 476, 4510, 277, 24448, 676, 519, 2063, 10116, 540, 476, 2735, 271, 269, 901, 1797, 513, 12761, 540, 827, 476, 276, 269, 276, 2929, 29054, 6361, 268, 11798, 6697, 799, 693, 519, 1699, 19020, 3282, 3902, 1797, 513, 9806, 540, 2475, 1269, 12293, 2929, 12422, 538, 519, 2197, 781, 4914, 9304, 14425, 563, 4415, 476, 4510, 277, 24448, 540, 8704, 4390, 267, 519, 13372, 1631, 16034, 2034, 1851, 2477, 1210, 24232, 1648, 267, 20546, 539, 1152, 676, 519, 2136, 2276, 269, 634, 13372, 267, 2705, 267, 568, 1631, 519, 4102, 17354, 540, 519, 3905, 1216, 26730, 3990, 1826, 24232, 13111, 267, 1256, 20546, 532, 1715, 10215, 945, 10660, 1229, 519, 13345, 540, 713, 1826, 540, 4199, 563, 2467, 729, 5310, 1100, 2582, 2680, 540, 3486, 1104, 538, 519, 2063, 8717, 602, 1223, 5635, 609, 519, 1648, 6433, 540, 476, 3192, 275, 269, 898, 4547, 27290, 543, 3978, 2804, 20247, 6327, 547, 1020, 543, 3384, 2477, 7567, 543, 5693, 7152, 519, 12161, 540, 22536, 11163, 593, 4914, 2959, 540, 1648, 269, 1280, 519, 13372, 267, 621, 3177, 835, 540, 519, 811, 4049, 4255, 538, 26416, 2053, 540, 519, 4182, 781, 2804, 543, 2797, 5005, 775, 563, 288, 2312, 2070, 540, 519, 1648, 6429, 19674, 950, 649, 1413, 693, 519, 2197, 781, 1648, 3575, 630, 8993, 269, 476, 272, 1040, 2201, 513, 5823, 531, 4493, 267, 2872, 3096, 3592, 476, 6246, 260, 540, 519, 2698, 1648, 4616, 4553, 676, 6283, 2179, 532, 547, 827, 476, 3607, 10065, 3245, 1776, 21169, 267, 1379, 5108, 27499, 827, 476, 3451, 260, 540, 519, 1648, 7727, 269, 18391, 693, 519, 2959, 540, 1648, 3761, 267, 621, 568, 2938, 602, 24232, 27057, 20205, 827, 476, 275, 260, 540, 519, 2197, 781, 1648, 2115, 269, 901, 568, 12261, 883, 476, 4510, 277, 24448, 540, 8704, 4390, 563, 763, 13372, 568, 8149, 547, 513, 1982, 540, 4853, 543, 2804, 2208, 269, 2201, 713, 13429, 267, 972, 568, 2370, 3903, 855, 547, 8532, 811, 1648, 20749, 269, 1323, 4277, 4605, 2501, 909, 950, 649, 1413, 693, 519, 6871, 9295, 540, 6080, 547, 717, 23259, 6589, 543, 1648, 4616, 829, 21027, 630, 8993, 269, 476, 273, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3927, 5968, 741, 2093, 267, 4555, 267, 543, 4606, 269, 1358, 849, 1020, 3742, 6947, 1983, 543, 519, 2702, 547, 1589, 3533, 267, 5009, 2312, 543, 13801, 2792, 563, 274, 269, 30205, 539, 1582, 21873, 281, 8555, 341, 11414, 1453, 547, 3972, 2933, 543, 741, 26756, 267, 20993, 741, 1582, 12635, 543, 1582, 21873, 269, 1306, 789, 4497, 538, 1561, 6665, 1049, 2238, 267, 789, 1451, 547, 9784, 741, 2189, 2093, 267, 1491, 4220, 267, 543, 1900, 3544, 741, 4313, 10851, 563, 275, 269, 24046, 16542, 543, 5698, 281, 8555, 341, 568, 513, 2319, 15129, 2534, 602, 3340, 9316, 543, 5698, 269, 5753, 1451, 547, 960, 1927, 267, 1489, 1142, 824, 779, 2093, 267, 543, 1628, 2390, 873, 267, 5807, 513, 2631, 540, 23274, 543, 16542, 563, 276, 269, 15043, 6043, 281, 769, 27906, 267, 9073, 616, 17149, 543, 1419, 9976, 269, 5753, 1451, 547, 9784, 543, 1451, 689, 741, 9073, 267, 13321, 873, 883, 3255, 585, 2208, 543, 5647, 269, 901, 6043, 2919, 998, 27906, 666, 581, 4294, 547, 1585, 3344, 540, 741, 2729, 563, 277, 269, 20865, 1966, 9010, 5759, 281, 8555, 341, 7512, 1453, 547, 1589, 593, 741, 3952, 543, 4431, 547, 6397, 3871, 267, 5355, 741, 1966, 9010, 1983, 269, 1358, 1451, 547, 1265, 3860, 3435, 896, 2604, 267, 3082, 547, 1114, 6381, 267, 543, 1589, 9691, 563, 278, 269, 24046, 1514, 1983, 281, 3414, 27906, 267, 1453, 1020, 1898, 1514, 1983, 971, 607, 6568, 267, 3742, 6947, 267, 9316, 267, 543, 13916, 269, 1358, 1451, 547, 1224, 1514, 10291, 267, 4431, 14013, 267, 543, 1628, 2318, 3347, 609, 741, 9905, 563, 279, 269, 25841, 4160, 543, 4250, 540, 5821, 281, 8555, 341, 2337, 1453, 7753, 4160, 543, 519, 4250, 540, 1818, 9073, 610, 1373, 24565, 269, 1635, 2870, 513, 11215, 543, 1875, 268, 9080, 8540, 531, 1604, 267, 1453, 1745, 811, 6899, 2921, 4220, 267, 11589, 2933, 267, 543, 8508, 5821, 607, 606, 1898, 851, 540, 519, 1565, 1184, 563, 280, 269, 20865, 1857, 6340, 5759, 281, 30557, 538, 4395, 540, 1866, 543, 12419, 791, 668, 696, 340, 12644, 538, 27906, 2337, 1453, 2744, 6015, 538, 1857, 6340, 269, 1358, 1451, 547, 1589, 593, 741, 3952, 267, 24808, 741, 4555, 5693, 267, 543, 4497, 606, 5304, 3927, 563, 1015, 269, 15788, 2123, 2208, 281, 9752, 27906, 547, 1453, 8992, 2123, 2208, 538, 1585, 2127, 540, 741, 2729, 269, 898, 10597, 741, 1582, 22325, 267, 3929, 4987, 267, 13916, 267, 543, 6043, 267, 30015, 873, 609, 3407, 1272, 1983, 602, 8831, 2484, 3564, 519, 3942, 563, 1103, 3932, 267, 3450, 27906, 547, 1453, 3091, 606, 5044, 540, 2640, 602, 5351, 538, 741, 2123, 2208, 543, 1646, 269, 3414, 8476, 5876, 267, 2792, 1983, 267, 1582, 21873, 267, 16542, 267, 1966, 9010, 5759, 267, 1514, 1983, 267, 4389, 4160, 543, 4250, 540, 5821, 267, 4824, 1857, 6340, 267, 543, 2949, 2123, 2208, 267, 27906, 16877, 1453, 547, 6330, 519, 1158, 609, 6015, 543, 13916, 269, 28038, 27906, 693, 606, 2038, 2085, 666, 3337, 1453, 883, 811, 1134, 25454, 2043, 267, 8600, 873, 585, 519, 2591, 543, 3255, 602, 9114, 6619, 269, 0, 2662, 12241, 2370, 568, 6956, 540, 519, 9962, 2152, 543, 6286, 693, 7196, 585, 1034, 29867, 2249, 267, 13687, 1382, 814, 1044, 5266, 3573, 563, 6097, 547, 513, 5253, 543, 11982, 25944, 1867, 267, 799, 6594, 519, 11841, 543, 5222, 540, 23012, 3484, 539, 13687, 267, 2487, 2079, 814, 6059, 602, 1079, 2929, 9533, 13687, 9101, 689, 3165, 11396, 1142, 1032, 910, 513, 4137, 6697, 547, 3368, 519, 2698, 1297, 540, 3552, 13687, 538, 519, 4262, 563, 1607, 5266, 1804, 1297, 814, 3677, 2360, 1869, 936, 942, 269, 589, 1867, 5950, 676, 519, 26192, 20363, 22411, 3081, 602, 607, 1454, 607, 476, 3445, 829, 1298, 540, 519, 13687, 538, 930, 8933, 540, 519, 10787, 4141, 11866, 267, 16157, 267, 10430, 267, 8581, 543, 4516, 616, 834, 325, 1872, 14476, 540, 741, 28738, 344, 2668, 13536, 267, 519, 1867, 6811, 602, 15029, 9101, 525, 689, 1715, 19839, 1873, 1157, 781, 7395, 698, 7596, 822, 545, 5211, 1152, 20039, 585, 476, 276, 269, 276, 829, 1298, 540, 519, 2949, 3552, 2551, 267, 676, 476, 1960, 276, 602, 4137, 1185, 682, 2194, 547, 476, 3445, 829, 1298, 563, 8448, 5515, 689, 519, 1867, 2303, 602, 891, 9101, 525, 616, 849, 4098, 547, 3262, 856, 543, 28117, 1007, 2127, 910, 30939, 476, 1240, 8933, 540, 519, 3703, 12052, 538, 476, 1960, 276, 543, 476, 6507, 8933, 950, 556, 7721, 600, 1441, 3670, 1296, 2663, 563, 7212, 621, 666, 581, 11130, 602, 891, 9101, 525, 786, 1039, 547, 10010, 3552, 3165, 13632, 267, 621, 1590, 581, 3144, 883, 2272, 602, 267, 1813, 547, 936, 325, 5109, 267, 3552, 13687, 13632, 616, 538, 7771, 519, 1158, 936, 543, 602, 713, 1377, 540, 7771, 4386, 28000, 540, 1965, 7870, 269, 12824, 4043, 547, 581, 538, 6876, 602, 3552, 13687, 6006, 616, 711, 1373, 5818, 539, 676, 1965, 7870, 267, 789, 616, 538, 1249, 1373, 8719, 676, 873, 269, 901, 568, 5156, 547, 581, 3020, 540, 782, 3484, 539, 3165, 543, 741, 3552, 13413, 563, 763, 1966, 2501, 547, 1769, 538, 7156, 540, 875, 519, 3484, 539, 3165, 8428, 689, 3552, 3165, 543, 875, 789, 2170, 609, 873, 269, 4340, 547, 519, 26192, 20363, 22411, 834, 341, 7398, 1302, 782, 12051, 3484, 539, 13687, 616, 26731, 689, 476, 2412, 3312, 13632, 540, 21785, 9533, 13687, 1701, 11773, 633, 9960, 814, 5697, 1978, 7592, 538, 891, 3484, 539, 13687, 602, 616, 6225, 547, 519, 16073, 267, 2870, 3728, 2173, 520, 1005, 267, 1804, 3165, 269, 1717, 267, 713, 1184, 814, 849, 4547, 827, 989, 4809, 13687, 602, 616, 811, 9308, 8789, 982, 3552, 3165, 563, 1103, 519, 4505, 5933, 540, 741, 2729, 789, 786, 856, 14526, 3552, 3165, 585, 1426, 267, 7226, 543, 29982, 267, 855, 936, 519, 1279, 2165, 891, 616, 16220, 17071, 3165, 267, 1447, 9862, 547, 519, 1585, 10923, 4525, 789, 949, 2097, 547, 9468, 543, 1447, 2693, 547, 8011, 269, 3955, 3691, 5338, 1063, 3552, 3165, 543, 3484, 539, 3165, 568, 4061, 17672, 547, 519, 6006, 607, 513, 2898, 269, 634, 1134, 2966, 4719, 4162, 540, 519, 3552, 3165, 1831, 13572, 543, 2949, 4719, 13260, 786, 581, 4389, 563, 5194, 17672, 543, 1134, 13006, 1860, 540, 1965, 7870, 568, 519, 6771, 540, 13596, 689, 3484, 547, 3552, 269, 12551, 11396, 10929, 2101, 12959, 1996, 2068, 543, 15495, 267, 799, 723, 513, 12402, 547, 11349, 543, 1332, 6385, 856, 540, 1852, 269, 7909, 28703, 3676, 543, 13596, 3262, 1360, 3533, 2899, 789, 1205, 3180, 540, 513, 1153, 269, 6779, 1078, 3165, 29400, 689, 11396, 723, 519, 1761, 547, 12517, 3468, 3552, 6006, 543, 7903, 873, 547, 14486, 563, 763, 17848, 540, 519, 9046, 454, 288, 638, 20628, 23445, 3622, 2874, 540, 513, 5458, 2121, 9870, 909, 856, 540, 519, 4262, 799, 568, 1930, 693, 519, 1283, 269, 12551, 9271, 1419, 2049, 689, 2241, 4057, 5826, 540, 23445, 267, 799, 2636, 585, 513, 1507, 24694, 540, 3165, 1169, 865, 1419, 543, 993, 23035, 547, 513, 1454, 2362, 1297, 936, 519, 1576, 540, 513, 1032, 269, 1717, 267, 3165, 666, 849, 9101, 538, 5458, 2338, 1282, 11315, 15798, 543, 1164, 6329, 267, 799, 666, 3441, 519, 4050, 267, 610, 11547, 3165, 936, 519, 1283, 269, 769, 476, 1220, 276, 267, 513, 2582, 10071, 4718, 3368, 513, 2929, 13687, 9101, 689, 513, 21785, 3484, 267, 15029, 513, 2147, 10071, 538, 16266, 3366, 547, 519, 9101, 540, 835, 2929, 563, 296, 534, 589, 269, 21634, 2719, 267, 2160, 540, 1715, 11398, 1633, 267, 1767, 602, 519, 1981, 15054, 676, 9101, 525, 31030, 593, 519, 5506, 540, 1965, 7870, 267, 519, 9588, 540, 1965, 7870, 267, 519, 4908, 540, 741, 12136, 543, 519, 21483, 1764, 593, 3552, 5095, 543, 8134, 602, 789, 949, 723, 269, 1290, 13586, 593, 513, 1353, 5342, 593, 3703, 9069, 1014, 3165, 11396, 267, 6004, 21634, 2719, 4080, 602, 476, 5655, 829, 1298, 540, 1965, 7870, 941, 1813, 547, 2241, 2121, 3111, 902, 267, 2185, 829, 1298, 547, 8800, 3111, 902, 267, 476, 1428, 829, 1298, 547, 10935, 2621, 543, 476, 4375, 829, 1298, 547, 7829, 563, 5194, 6881, 267, 3177, 676, 1488, 928, 12049, 8583, 540, 590, 842, 1030, 30656, 543, 13985, 20628, 267, 2040, 4364, 909, 519, 3111, 902, 538, 2185, 3123, 281, 10512, 630, 577, 4474, 540, 24437, 5148, 1480, 5470, 630, 19587, 538, 13613, 5148, 2930, 5821, 630, 325, 520, 8982, 267, 4636, 7516, 5148, 543, 1374, 5821, 630, 342, 3994, 1505, 267, 5470, 538, 4365, 1239, 267, 1620, 540, 782, 6286, 1040, 4340, 547, 1488, 928, 12049, 8583, 2042, 9114, 2047, 538, 2799, 2121, 7306, 267, 811, 3532, 1835, 6951, 267, 24437, 602, 616, 711, 19345, 585, 6915, 325, 537, 1782, 543, 17444, 693, 519, 4636, 18052, 269, 10298, 1287, 9114, 538, 1480, 31383, 267, 1272, 17489, 1062, 6272, 543, 2930, 2866, 267, 11943, 6004, 12049, 8583, 563, 2662, 12241, 621, 949, 581, 2808, 602, 6297, 1374, 1058, 30817, 519, 1966, 15587, 513, 6881, 1500, 676, 519, 21785, 4659, 585, 7186, 3194, 5063, 7150, 602, 28000, 540, 1018, 568, 2944, 547, 2061, 1965, 7870, 267, 621, 568, 7543, 547, 2057, 873, 15587, 269, 13298, 982, 1445, 28410, 593, 7303, 873, 267, 513, 1732, 1935, 949, 581, 547, 2569, 519, 1764, 602, 789, 723, 563, 19370, 286, 1548, 9046, 888, 3080, 2241, 3070, 547, 23012, 3165, 568, 3274, 547, 979, 856, 543, 556, 2275, 2255, 873, 269, 1717, 267, 865, 2484, 713, 814, 8810, 16602, 269, 27557, 547, 973, 2194, 675, 13687, 723, 1044, 3622, 1970, 267, 2356, 1152, 8051, 585, 513, 1906, 829, 1298, 540, 519, 3312, 2179, 4503, 269, 21452, 267, 519, 6051, 3928, 540, 3484, 539, 13798, 2408, 547, 581, 3648, 2362, 269, 10765, 8062, 723, 8612, 602, 713, 4137, 1223, 581, 607, 1164, 607, 476, 1789, 910, 476, 2412, 829, 1298, 269, 898, 4667, 602, 519, 7180, 540, 519, 1826, 540, 3165, 602, 568, 3484, 539, 1223, 723, 2462, 6286, 593, 4227, 519, 2557, 540, 9101, 563, 2005, 814, 849, 1044, 6700, 602, 952, 519, 4719, 1118, 909, 540, 3484, 539, 3165, 729, 2147, 547, 519, 3448, 10923, 3552, 6006, 1287, 3165, 1965, 7870, 1223, 2965, 581, 6225, 547, 621, 269, 1717, 267, 621, 949, 581, 16363, 1561, 321, 762, 602, 3165, 6705, 786, 882, 22055, 880, 741, 1164, 1130, 324, 3165, 13632, 538, 12797, 540, 835, 602, 568, 811, 14427, 547, 6318, 269, 898, 1590, 849, 581, 3144, 883, 2272, 602, 1022, 2318, 1198, 540, 23012, 3484, 539, 3165, 12346, 593, 519, 13429, 602, 789, 723, 1100, 2942, 4719, 2360, 267, 798, 711, 10141, 2068, 543, 798, 711, 856, 16327, 23176, 519, 3552, 6006, 563, 288, 3070, 547, 16701, 21899, 782, 8425, 545, 1981, 1131, 581, 547, 1118, 3484, 539, 3165, 25062, 269, 24046, 1979, 846, 2579, 568, 606, 6654, 4781, 547, 2569, 2068, 543, 21313, 18993, 3827, 267, 855, 713, 814, 8810, 2352, 547, 3035, 543, 3646, 547, 798, 865, 609, 11216, 543, 6464, 723, 8507, 538, 4049, 2825, 29854, 543, 1164, 2157, 540, 2566, 538, 519, 3484, 539, 3165, 2126, 814, 1044, 1031, 2390, 269, 4340, 547, 519, 26192, 20363, 22411, 267, 519, 2518, 13687, 2872, 814, 7361, 16053, 1857, 9880, 543, 5706, 539, 11090, 3101, 3800, 627, 880, 1131, 5351, 1007, 8906, 540, 519, 3123, 543, 2360, 540, 1965, 7870, 585, 782, 2249, 540, 3484, 539, 3165, 269, 634, 5859, 849, 3494, 602, 2229, 6042, 723, 1044, 1360, 17159, 543, 972, 814, 1044, 1100, 4674, 547, 2697, 3800, 3144, 547, 2057, 1965, 7870, 609, 1587, 2978, 2454, 563, 2662, 12241, 513, 2347, 3070, 949, 711, 581, 4867, 2139, 267, 621, 568, 2312, 811, 1382, 2115, 547, 581, 2944, 547, 2708, 1312, 5222, 543, 3435, 269, 0, 29394, 779, 4063, 281, 901, 568, 835, 540, 606, 5571, 3126, 540, 16823, 8369, 593, 14027, 2825, 19642, 543, 5718, 20291, 676, 8028, 2464, 1107, 519, 19137, 540, 8693, 543, 7025, 19731, 1841, 454, 2467, 616, 513, 2603, 540, 8100, 538, 519, 3377, 547, 3039, 5989, 543, 621, 568, 513, 5594, 22801, 2165, 585, 930, 269, 2991, 782, 267, 950, 649, 2161, 5989, 267, 649, 13840, 1611, 21137, 2371, 267, 13123, 267, 9897, 543, 1379, 2371, 269, 12085, 5219, 547, 607, 3039, 5989, 616, 3622, 4130, 538, 2450, 543, 1331, 2067, 2609, 607, 851, 540, 741, 1599, 563, 13914, 540, 3039, 5989, 607, 513, 2370, 3039, 3659, 269, 589, 1434, 1383, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1960, 274, 7221, 815, 630, 1960, 273, 7221, 264, 1341, 630, 6110, 260, 540, 476, 1960, 273, 7221, 264, 815, 630, 301, 264, 1341, 630, 6110, 260, 540, 715, 264, 815, 630, 301, 264, 1341, 630, 6110, 270, 1911, 1535, 715, 264, 815, 715, 1341, 476, 275, 301, 815, 476, 276, 301, 7577, 595, 5257, 338, 7221, 538, 476, 1960, 275, 729, 476, 4968, 260, 3152, 982, 519, 10371, 1848, 5988, 476, 2537, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 2311, 513, 29221, 2044, 267, 519, 3902, 540, 513, 9126, 601, 9832, 1063, 476, 271, 269, 4792, 543, 538, 519, 9046, 14572, 8468, 968, 763, 2547, 7199, 3902, 585, 513, 9126, 601, 568, 476, 271, 269, 4792, 1403, 513, 6075, 16306, 476, 1321, 9126, 1564, 630, 520, 476, 271, 269, 4792, 1142, 1070, 1287, 646, 24172, 11392, 476, 1724, 9126, 1564, 269, 1924, 267, 519, 5934, 2179, 602, 513, 6075, 1223, 2628, 547, 4309, 476, 1724, 9126, 1564, 815, 476, 1321, 1535, 476, 271, 269, 4792, 815, 476, 278, 269, 3199, 8382, 281, 645, 4258, 619, 267, 645, 1370, 892, 5988, 476, 2537, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 16253, 547, 769, 519, 4137, 3254, 267, 9474, 815, 8028, 815, 476, 1321, 269, 6904, 540, 519, 1739, 568, 538, 519, 9046, 14572, 8468, 968, 10059, 2517, 328, 269, 756, 321, 16691, 26260, 295, 300, 345, 289, 343, 311, 270, 2641, 6363, 20623, 866, 268, 275, 342, 336, 3052, 604, 2330, 286, 315, 12101, 267, 1422, 322, 784, 1422, 12101, 12101, 7032, 2715, 337, 317, 273, 6525, 11592, 744, 568, 1226, 573, 9665, 689, 519, 12345, 7537, 543, 4888, 267, 8754, 589, 302, 1590, 581, 8659, 538, 519, 5086, 20312, 10725, 540, 5086, 631, 3198, 815, 5086, 645, 3722, 269, 11377, 3847, 28381, 1422, 9795, 346, 22773, 6865, 815, 678, 315, 12101, 12101, 12101, 3847, 263, 2715, 13997, 1789, 11892, 1422, 15132, 31998, 1422, 2431, 264, 1422, 327, 15640, 1422, 13062, 1422, 18773, 10371, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 513, 267, 536, 267, 543, 524, 616, 2318, 9981, 269, 1772, 513, 17070, 25239, 606, 9642, 1297, 286, 538, 519, 4578, 2672, 11797, 8468, 968, 9717, 281, 513, 267, 536, 267, 543, 524, 616, 2318, 9981, 269, 27010, 2243, 281, 1772, 513, 1341, 536, 1341, 524, 606, 9642, 1297, 286, 15048, 476, 272, 281, 705, 568, 606, 9642, 1297, 3143, 1344, 827, 524, 269, 10691, 24639, 13697, 2975, 296, 7728, 15048, 476, 273, 281, 524, 568, 606, 9642, 1297, 3143, 1344, 827, 513, 610, 536, 269, 10691, 24639, 13697, 2975, 296, 7728, 32276, 476, 272, 543, 476, 273, 5916, 1403, 705, 10371, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 769, 875, 1082, 2081, 513, 25319, 2319, 9967, 540, 476, 276, 16835, 5443, 267, 476, 275, 538, 519, 9046, 14572, 8468, 968, 12648, 519, 4305, 540, 2870, 513, 25319, 2319, 543, 2736, 621, 883, 5933, 269, 8609, 476, 272, 281, 8564, 476, 276, 16835, 5443, 4595, 519, 1931, 538, 799, 649, 2824, 519, 16835, 5443, 1281, 711, 2339, 267, 649, 666, 946, 10659, 269, 1284, 666, 2824, 476, 276, 16835, 5443, 689, 476, 278, 16835, 5443, 538, 476, 278, 290, 276, 2081, 630, 2641, 2081, 264, 1924, 267, 649, 666, 2347, 3942, 476, 272, 538, 476, 2641, 2081, 10371, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 1403, 476, 272, 24474, 268, 272, 30819, 284, 272, 270, 345, 267, 1018, 568, 519, 1871, 540, 586, 267, 538, 2474, 540, 1535, 543, 1990, 286, 538, 519, 9046, 14572, 8468, 968, 2171, 666, 849, 4194, 519, 2243, 7223, 1227, 269, 717, 4353, 2894, 281, 476, 272, 24474, 910, 476, 272, 30819, 815, 476, 272, 270, 345, 25092, 1312, 5011, 676, 1535, 547, 1205, 281, 476, 272, 910, 1535, 30819, 815, 1535, 270, 345, 25092, 1312, 5011, 676, 586, 547, 1205, 281, 586, 910, 1535, 815, 27976, 270, 345, 25092, 1312, 5011, 676, 1990, 547, 1205, 281, 586, 345, 910, 1535, 345, 815, 586, 343, 681, 792, 9792, 547, 1205, 586, 2474, 593, 835, 2427, 281, 586, 345, 910, 586, 343, 815, 1535, 345, 16748, 2451, 2427, 281, 586, 18750, 910, 1535, 264, 815, 10371, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 16253, 547, 634, 11708, 540, 519, 3252, 535, 543, 575, 616, 6719, 538, 769, 555, 538, 519, 9046, 14572, 8468, 968, 10059, 2517, 328, 269, 756, 321, 16691, 270, 3944, 339, 290, 323, 303, 339, 270, 2641, 6363, 20623, 866, 268, 275, 341, 3052, 604, 3230, 286, 815, 575, 13375, 263, 2715, 326, 13375, 263, 2715, 910, 476, 272, 348, 1422, 2431, 264, 1341, 476, 272, 348, 1422, 2431, 264, 1341, 535, 13375, 263, 2715, 326, 13375, 263, 476, 274, 1422, 2431, 264, 1341, 476, 272, 348, 1422, 2431, 264, 815, 575, 13375, 263, 2715, 288, 1341, 476, 272, 348, 1422, 2431, 264, 1341, 535, 13375, 263, 2715, 289, 1341, 476, 272, 348, 1422, 2431, 14638, 3230, 288, 315, 12101, 267, 815, 1422, 12101, 267, 326, 13375, 263, 2715, 910, 476, 272, 348, 1422, 2431, 264, 815, 476, 275, 315, 12101, 12101, 12101, 3847, 14875, 26059, 1505, 269, 3204, 1841, 267, 28529, 1470, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 16253, 547, 6601, 24229, 786, 1449, 10377, 633, 513, 21305, 5179, 1286, 593, 513, 9764, 911, 538, 519, 9046, 14572, 8468, 968, 2330, 286, 315, 12101, 12101, 267, 24097, 12101, 12101, 267, 3189, 3944, 346, 13627, 3686, 26142, 12101, 267, 3189, 3944, 18097, 1122, 4181, 910, 10047, 14990, 12101, 12101, 267, 3189, 3944, 346, 514, 14990, 12101, 12101, 267, 3189, 3944, 346, 272, 14990, 12101, 267, 3189, 3944, 346, 2381, 3686, 11740, 315, 12101, 267, 3189, 3944, 18097, 1122, 4181, 910, 10047, 14990, 12101, 12101, 12101, 267, 1422, 3847, 21375, 1422, 12101, 12101, 12101, 267, 273, 1422, 10383, 1422, 7032, 1422, 10383, 476, 4968, 315, 12101, 267, 3189, 3944, 31551, 4394, 14990, 12101, 12101, 12101, 12101, 12101, 12101, 3847, 263, 2715, 272, 315, 12101, 267, 3189, 3944, 346, 331, 777, 3686, 348, 1422, 2431, 264, 1015, 315, 12101, 267, 3189, 3944, 31551, 4394, 14990, 12101, 12101, 12101, 267, 10371, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 16253, 547, 634, 7455, 3254, 1657, 568, 3989, 676, 519, 10288, 1790, 4202, 630, 343, 11971, 264, 538, 519, 9046, 14572, 8468, 968, 2330, 344, 815, 589, 12757, 317, 273, 348, 1341, 476, 273, 289, 343, 1341, 595, 2330, 3230, 288, 3436, 476, 271, 315, 12101, 267, 24097, 12101, 12101, 267, 3189, 3944, 346, 1706, 629, 7637, 14990, 12101, 267, 3189, 3944, 346, 935, 322, 1511, 14990, 12101, 267, 3189, 3944, 346, 1575, 1189, 14990, 267, 2330, 3230, 290, 3436, 476, 271, 315, 12101, 267, 24097, 12101, 12101, 267, 344, 910, 11513, 3944, 346, 5793, 1061, 14990, 12101, 267, 3189, 3944, 346, 3436, 476, 14990, 12101, 267, 3189, 3944, 346, 271, 14990, 12101, 12101, 12101, 12101, 12101, 12101, 12101, 12101, 3847, 763, 2953, 2626, 568, 630, 290, 1040, 1284, 1246, 519, 711, 725, 543, 24117, 6026, 538, 519, 17918, 295, 1505, 269, 10371, 1848, 5988, 476, 2420, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 7831, 1032, 519, 2039, 540, 519, 5993, 23269, 540, 519, 476, 1911, 538, 519, 9046, 14572, 8468, 968, 288, 2656, 3070, 568, 547, 3651, 930, 2418, 547, 519, 5207, 6976, 543, 9803, 6976, 4600, 2913, 476, 1015, 267, 1822, 815, 519, 9803, 14057, 700, 17129, 962, 292, 2752, 2913, 476, 2412, 267, 1822, 815, 519, 5207, 14057, 700, 17129, 962, 292, 2752, 901, 25389, 519, 2783, 602, 519, 2039, 700, 17129, 962, 292, 2752, 815, 476, 1789, 267, 1822, 1403, 519, 5993, 14057, 540, 1142, 540, 519, 476, 1911, 5520, 713, 10371, 1848, 5988, 476, 2641, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 634, 2040, 540, 1079, 9981, 568, 476, 2767, 269, 634, 3677, 8870, 568, 476, 1839, 260, 538, 519, 9046, 14572, 8468, 968, 4131, 1535, 815, 519, 4130, 8870, 1924, 267, 476, 272, 269, 1839, 343, 815, 519, 3677, 8870, 630, 26238, 519, 3677, 8870, 568, 476, 1839, 260, 3152, 982, 519, 4130, 8870, 264, 634, 2040, 540, 1079, 9981, 568, 476, 2767, 269, 1284, 666, 2328, 281, 1535, 1341, 476, 272, 269, 1839, 343, 815, 476, 2767, 22217, 1518, 281, 476, 273, 269, 1839, 343, 815, 476, 2767, 16534, 281, 1535, 815, 476, 2767, 270, 273, 269, 1839, 29313, 18306, 19611, 281, 1548, 5257, 338, 513, 8799, 3728, 1259, 547, 6218, 476, 2767, 270, 273, 269, 1839, 286, 1323, 2653, 10371, 1848, 5988, 476, 2641, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 1007, 1888, 1572, 6601, 24229, 786, 1449, 10377, 633, 513, 21305, 5179, 1286, 593, 513, 9764, 911, 538, 519, 9046, 14572, 8468, 968, 14875, 26059, 2259, 3635, 630, 23797, 4147, 476, 276, 264, 6601, 24229, 786, 1449, 10377, 633, 513, 21305, 5179, 1286, 593, 513, 9764, 3950, 609, 8953, 476, 4968, 7397, 267, 693, 513, 3586, 3432, 540, 476, 1015, 7397, 829, 2034, 269, 1403, 1200, 9393, 13343, 568, 693, 1964, 267, 693, 519, 4099, 540, 713, 3950, 267, 547, 4670, 519, 3003, 1449, 10377, 633, 267, 799, 540, 519, 1739, 2418, 568, 10371, 1848, 5988, 476, 2641, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 1007, 1888, 1572, 769, 519, 4137, 3254, 267, 9474, 815, 8028, 815, 476, 1321, 269, 6904, 540, 519, 1739, 568, 538, 519, 9046, 14572, 8468, 968, 14875, 26059, 2259, 3635, 630, 23797, 4147, 476, 278, 264, 4179, 2517, 328, 269, 756, 321, 16691, 270, 311, 344, 313, 337, 345, 31357, 270, 2641, 6363, 20623, 866, 268, 278, 330, 3052, 604, 769, 519, 4137, 3254, 267, 9474, 815, 8028, 815, 476, 1321, 269, 6904, 540, 519, 1739, 568, 14191, 547, 519, 1858, 540, 519, 5858, 609, 4099, 744, 602, 568, 17242, 267, 693, 2798, 631, 267, 715, 267, 543, 623, 267, 547, 519, 9764, 5823, 9474, 15425, 609, 4099, 589, 543, 3844, 5086, 540, 10371, 1848, 5988, 476, 2641, 267, 476, 1001, 280, 535, 12921, 559, 23364, 287, 14875, 26059, 11540, 513, 1007, 1888, 1572, 634, 7455, 3254, 1657, 568, 3989, 676, 519, 10288, 1790, 4202, 630, 343, 11971, 264, 538, 519, 9046, 14572, 8468, 968, 14875, 26059, 2259, 3635, 630, 23797, 4147, 476, 1724, 264, 4179, 2517, 328, 269, 756, 321, 16691, 30819, 304, 336, 339, 275, 339, 329, 270, 2641, 6363, 20623, 866, 268, 275, 335, 3052, 604, 634, 7455, 3254, 1657, 568, 3989, 676, 519, 10288, 1790, 4202, 630, 343, 11971, 264, 971, 602, 586, 815, 535, 3287, 264, 815, 16547, 317, 273, 266, 273, 289, 343, 266, 290, 267, 1141, 589, 267, 645, 543, 595, 616, 2016, 21635, 269, 1403, 519, 1448, 540, 8126, 1890, 609, 519, 1535, 14289, 814, 513, 2318, 1535, 18396, 15453, 267, 799, 540, 10371, 1848, 5988, 476, 2641, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 1548, 568, 519, 6574, 2318, 1614, 18251, 1297, 602, 568, 2820, 538, 519, 9046, 14572, 8468, 968, 3080, 1935, 568, 547, 2638, 1142, 2626, 3903, 267, 4098, 609, 519, 4102, 2626, 3903, 661, 269, 476, 279, 2412, 476, 279, 2412, 568, 16883, 676, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 543, 476, 278, 8382, 281, 661, 4258, 619, 267, 645, 1370, 892, 5988, 476, 2641, 267, 476, 1001, 280, 645, 1370, 287, 29479, 7093, 335, 3086, 11540, 513, 16253, 547, 1548, 568, 519, 4102, 7857, 562, 585, 799, 519, 1297, 476, 11277, 267, 3393, 333, 568, 538, 519, 9046, 14572, 8468, 968, 305, 308, 4041, 281, 952, 519, 590, 9331, 540, 519, 9704, 540, 513, 1297, 568, 16883, 676, 476, 274, 267, 1287, 602, 1297, 568, 16883, 676, 476, 274, 6875, 267, 585, 1383, 267, 519, 1297, 476, 272, 267, 9826, 267, 26297, 476, 272, 1341, 476, 271, 1341, 476, 271, 1341, 476, 272, 1341, 476, 273, 1341, 476, 273, 1341, 476, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2111, 547, 6542, 713, 998, 513, 3126, 540, 6901, 538, 799, 646, 5402, 6027, 519, 13999, 540, 519, 2746, 1218, 543, 2472, 538, 513, 3114, 5114, 563, 299, 822, 12251, 1512, 849, 1500, 1713, 7418, 547, 519, 1646, 540, 519, 2413, 1062, 540, 3114, 562, 32393, 1155, 267, 799, 568, 519, 1062, 1031, 547, 2012, 543, 19665, 3114, 7135, 269, 1261, 6069, 513, 1062, 538, 799, 3114, 7135, 941, 3957, 1759, 593, 741, 5888, 543, 2497, 267, 2864, 982, 1759, 593, 741, 3601, 610, 3096, 269, 901, 1062, 568, 1869, 538, 946, 2221, 543, 814, 5129, 513, 4105, 1909, 538, 519, 1646, 540, 2413, 7998, 563, 1103, 1840, 547, 1010, 960, 593, 519, 1876, 540, 5726, 540, 2527, 543, 3114, 562, 32393, 1155, 267, 30225, 12251, 1512, 849, 1500, 1271, 7418, 547, 519, 1620, 540, 3114, 6547, 269, 1261, 729, 519, 1101, 547, 15974, 519, 1523, 540, 3114, 6547, 267, 538, 799, 6878, 616, 9927, 883, 1007, 6878, 998, 519, 30337, 618, 540, 741, 8444, 269, 901, 1523, 729, 513, 2101, 1900, 4464, 538, 519, 1620, 540, 7998, 543, 814, 5129, 513, 1883, 1909, 538, 519, 1646, 540, 1082, 1271, 4066, 267, 1519, 31534, 543, 2326, 2257, 563, 14454, 267, 4165, 334, 710, 30225, 12251, 1512, 568, 4922, 2808, 547, 581, 519, 4651, 540, 2413, 7998, 1813, 547, 1010, 21722, 960, 538, 519, 2361, 269, 3571, 7418, 547, 519, 1876, 540, 5726, 540, 2527, 267, 3114, 562, 32393, 1155, 267, 543, 519, 1620, 540, 3114, 6547, 723, 1185, 513, 9434, 1764, 593, 519, 2361, 540, 7998, 543, 3136, 547, 581, 6594, 543, 3710, 2390, 2221, 563, 8005, 1772, 519, 12429, 540, 11061, 888, 8601, 519, 2956, 540, 519, 960, 607, 519, 1101, 2070, 540, 8444, 607, 9308, 1483, 9988, 543, 519, 4367, 540, 513, 1062, 540, 3114, 6698, 267, 1715, 3590, 540, 11906, 13898, 13991, 3592, 607, 1454, 2230, 547, 519, 1608, 7595, 3069, 607, 547, 11046, 1143, 269, 901, 2376, 2115, 3606, 14327, 585, 7490, 948, 4855, 2959, 281, 5788, 5788, 5788, 5788, 5147, 476, 1001, 280, 10705, 267, 8906, 543, 10124, 616, 519, 960, 540, 2789, 1004, 267, 4611, 689, 31934, 9283, 936, 942, 269, 1717, 267, 1978, 2043, 616, 15422, 585, 1818, 1713, 7418, 547, 519, 4332, 610, 1646, 540, 513, 2361, 610, 2029, 269, 30225, 12251, 1512, 568, 547, 519, 2257, 540, 7998, 1018, 13053, 568, 547, 6323, 269, 2311, 519, 942, 540, 1010, 2669, 267, 646, 729, 693, 519, 4463, 540, 1010, 4876, 267, 2348, 5063, 3370, 1010, 26832, 960, 267, 634, 15689, 540, 11061, 563, 3891, 4362, 602, 267, 4352, 2339, 949, 1689, 922, 1106, 610, 3337, 267, 922, 2527, 2141, 3788, 519, 1482, 269, 30225, 12251, 1512, 4362, 602, 2527, 568, 24721, 538, 513, 3114, 5114, 269, 10787, 985, 10290, 11827, 519, 2290, 540, 519, 6574, 8030, 540, 519, 476, 736, 628, 2540, 269, 5808, 568, 519, 3993, 540, 7998, 286, 4165, 334, 710, 30225, 12251, 1512, 729, 513, 3943, 2447, 626, 1634, 607, 519, 4651, 540, 2413, 7998, 269, 4284, 1731, 267, 476, 4510, 267, 476, 3393, 276, 476, 4572, 278, 563, 4407, 1655, 1634, 585, 1010, 21722, 960, 538, 519, 2361, 540, 7998, 267, 4165, 334, 710, 30225, 12251, 1512, 729, 849, 513, 13730, 12167, 585, 1514, 6963, 269, 769, 1840, 267, 30225, 12251, 1512, 2919, 519, 6240, 540, 5726, 540, 2527, 267, 799, 2829, 602, 2339, 666, 9444, 581, 2813, 6862, 10032, 269, 1306, 971, 267, 621, 568, 1100, 4898, 602, 30225, 12251, 1512, 568, 2808, 835, 540, 519, 1034, 9565, 3744, 538, 1686, 269, 8176, 16817, 568, 519, 4651, 540, 2413, 7350, 269, 634, 1715, 3840, 8648, 269, 30225, 12251, 1512, 568, 4583, 711, 1152, 585, 1010, 3114, 6436, 855, 849, 585, 1010, 960, 538, 519, 8047, 563, 7069, 8262, 3883, 540, 23675, 476, 277, 269, 4165, 334, 710, 19846, 660, 30225, 12251, 1512, 729, 2808, 519, 13653, 540, 2413, 7998, 269, 16024, 2103, 5491, 25761, 4030, 547, 21730, 10196, 18496, 654, 269, 4634, 1498, 646, 5747, 936, 476, 1220, 1296, 3516, 267, 519, 4651, 540, 7998, 568, 1869, 6594, 585, 1010, 7418, 547, 519, 2361, 269, 1703, 616, 1614, 2009, 4128, 585, 519, 946, 540, 713, 2262, 281, 634, 3109, 3037, 540, 519, 20407, 9503, 5795, 519, 16380, 519, 2012, 6314, 328, 585, 5527, 1141, 519, 3114, 6575, 27229, 12090, 269, 634, 4521, 540, 11094, 540, 7136, 568, 3730, 585, 513, 1297, 540, 9273, 543, 666, 581, 1031, 547, 4194, 585, 7164, 13999, 267, 971, 519, 2179, 540, 3154, 10057, 610, 3812, 1282, 513, 5114, 563, 299, 822, 12251, 1512, 5280, 4020, 519, 11973, 1062, 267, 5206, 519, 1101, 3573, 1592, 540, 2609, 267, 543, 5280, 547, 6963, 3114, 562, 32393, 1155, 269, 2290, 540, 519, 1034, 1271, 7344, 18563, 538, 519, 1686, 540, 30768, 729, 519, 1835, 3471, 3873, 1111, 267, 11827, 676, 519, 7332, 11653, 1325, 11219, 1794, 926, 269, 2622, 540, 11660, 20570, 269, 1547, 6301, 4930, 281, 769, 476, 5197, 274, 267, 2296, 14368, 6048, 543, 2447, 626, 18243, 2023, 849, 6069, 513, 2413, 1715, 3590, 540, 11906, 13898, 476, 5197, 279, 1765, 9264, 278, 2073, 538, 799, 646, 13890, 519, 1101, 2413, 3621, 6609, 540, 519, 10570, 3069, 269, 3397, 878, 7637, 814, 1044, 4330, 607, 519, 834, 15289, 540, 12669, 21395, 2668, 3162, 7414, 7201, 4248, 6925, 5980, 4750, 563, 8005, 568, 519, 1101, 12429, 540, 7073, 11061, 286, 1496, 15542, 6744, 539, 256, 2639, 22711, 540, 519, 1977, 11906, 5980, 269, 901, 6240, 814, 1044, 5393, 1271, 538, 519, 1646, 540, 938, 1620, 540, 3114, 6547, 269, 898, 729, 4061, 3982, 689, 6323, 799, 729, 711, 7255, 609, 971, 10565, 7004, 540, 2339, 269, 1261, 729, 513, 3943, 2447, 626, 945, 568, 2808, 519, 13653, 540, 2413, 7998, 269, 8402, 10496, 13196, 631, 27475, 667, 16331, 518, 516, 281, 634, 2034, 4651, 540, 10344, 568, 667, 16331, 518, 516, 563, 8266, 540, 1004, 2808, 4651, 610, 3993, 540, 513, 2361, 454, 31367, 19793, 951, 281, 634, 5274, 8131, 540, 11906, 7070, 269, 3345, 22616, 517, 267, 27846, 267, 7330, 15545, 1261, 5462, 602, 519, 3334, 540, 1216, 941, 5135, 543, 7250, 543, 609, 519, 948, 540, 6901, 646, 11943, 519, 1216, 547, 581, 7623, 711, 606, 3693, 593, 476, 1321, 5437, 476, 9965, 274, 269, 901, 3932, 13604, 2968, 1634, 607, 834, 634, 3693, 834, 1675, 324, 2580, 689, 519, 5259, 2262, 3852, 373, 395, 492, 29857, 15770, 19084, 19381, 525, 585, 642, 14489, 1317, 540, 519, 2681, 540, 22752, 11517, 269, 634, 4651, 540, 7998, 568, 2808, 835, 540, 519, 1034, 9565, 3744, 538, 1686, 269, 1548, 616, 519, 2947, 8371, 540, 7998, 286, 30225, 12251, 1512, 1500, 7760, 538, 7777, 9609, 267, 17891, 532, 267, 8265, 8654, 267, 543, 1256, 3964, 513, 2203, 3484, 269, 4586, 26780, 267, 589, 476, 11277, 267, 476, 278, 1691, 476, 4572, 280, 269, 634, 1876, 540, 2789, 17114, 568, 835, 540, 519, 2596, 4031, 540, 588, 334, 24734, 5852, 1031, 547, 3715, 519, 10570, 3069, 269, 918, 11839, 476, 3422, 274, 634, 6426, 607, 3778, 267, 533, 269, 769, 1249, 267, 2687, 547, 634, 674, 2632, 3570, 3778, 540, 11061, 7935, 1188, 267, 476, 1960, 273, 2433, 634, 1893, 540, 620, 17057, 344, 4166, 2919, 606, 9095, 2033, 543, 5728, 633, 2930, 6863, 2966, 547, 10703, 531, 1344, 689, 519, 796, 8181, 7007, 269, 11153, 19782, 1190, 3457, 585, 17453, 15175, 941, 1031, 547, 3035, 713, 5106, 14472, 8583, 476, 1960, 275, 269, 21444, 689, 7300, 593, 5147, 476, 2641, 267, 476, 1001, 272, 269, 23398, 1436, 540, 519, 645, 8258, 7917, 589, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19399, 10310, 2971, 7462, 454, 258, 11243, 281, 1744, 559, 11985, 2717, 334, 9857, 454, 258, 12218, 281, 18328, 4916, 476, 276, 3607, 274, 15303, 2762, 454, 258, 14630, 281, 476, 275, 628, 27362, 476, 1001, 276, 454, 258, 25284, 476, 274, 910, 11875, 18967, 673, 4354, 557, 454, 19399, 10310, 2971, 7462, 454, 5814, 2415, 27785, 454, 5814, 19523, 454, 5814, 14248, 18967, 673, 607, 552, 454, 5814, 8454, 7531, 3698, 1292, 10031, 453, 258, 27785, 6724, 454, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 10797, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 320, 2580, 3186, 6889, 320, 2580, 948, 6889, 8512, 1412, 320, 262, 540, 14248, 18967, 673, 7455, 281, 586, 317, 273, 815, 1535, 317, 274, 1341, 513, 20080, 1341, 536, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 321, 2580, 3186, 6889, 321, 2580, 948, 6889, 8512, 1412, 321, 262, 540, 14248, 18967, 673, 7455, 281, 586, 317, 273, 815, 1535, 317, 274, 1341, 513, 20080, 1341, 536, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 343, 272, 2580, 323, 652, 6889, 343, 272, 2580, 948, 6889, 8512, 1412, 343, 272, 11971, 272, 262, 540, 14248, 18967, 673, 7455, 281, 586, 272, 317, 273, 815, 1535, 272, 317, 274, 1341, 513, 20080, 272, 1341, 536, 19515, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 344, 272, 2580, 323, 652, 6889, 344, 272, 2580, 948, 6889, 8512, 1412, 343, 272, 11971, 272, 262, 540, 14248, 18967, 673, 7455, 281, 586, 272, 317, 273, 815, 1535, 272, 317, 274, 1341, 513, 20080, 272, 1341, 536, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 343, 273, 2580, 323, 652, 6889, 343, 273, 2580, 948, 6889, 8512, 1412, 343, 273, 11971, 273, 262, 540, 14248, 18967, 673, 7455, 281, 586, 273, 317, 273, 815, 1535, 273, 317, 274, 1341, 513, 20080, 273, 1341, 536, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 344, 273, 2580, 323, 652, 6889, 344, 273, 2580, 948, 6889, 8512, 1412, 343, 273, 11971, 273, 262, 540, 14248, 18967, 673, 7455, 281, 586, 273, 317, 273, 815, 1535, 273, 317, 274, 1341, 513, 20080, 273, 1341, 536, 15419, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 454, 825, 1820, 2891, 320, 284, 2580, 16911, 18502, 2437, 536, 284, 2580, 16911, 12500, 2437, 343, 272, 284, 2580, 16911, 11859, 272, 2437, 586, 272, 284, 2580, 16911, 13885, 272, 2437, 1535, 273, 284, 2580, 16911, 11859, 273, 2437, 586, 273, 284, 2580, 16911, 13885, 273, 994, 8931, 28768, 825, 513, 815, 8454, 12171, 3555, 263, 16911, 18502, 994, 825, 536, 815, 8454, 12171, 3555, 263, 16911, 12500, 994, 825, 1535, 272, 815, 8454, 12171, 3555, 263, 16911, 11859, 272, 994, 825, 586, 272, 815, 476, 8454, 12171, 3555, 263, 16911, 13885, 272, 994, 825, 1535, 273, 815, 476, 8454, 12171, 3555, 263, 16911, 11859, 273, 994, 825, 586, 273, 815, 476, 8454, 12171, 3555, 263, 16911, 13885, 273, 2020, 825, 692, 825, 1948, 31467, 585, 10992, 1448, 593, 519, 7455, 454, 825, 952, 12169, 272, 1262, 273, 2652, 1535, 272, 1262, 274, 266, 320, 20080, 272, 17070, 543, 586, 273, 1262, 273, 2652, 1535, 273, 1262, 274, 266, 320, 20080, 273, 17070, 2187, 1038, 1820, 2891, 4812, 1535, 272, 11971, 272, 568, 476, 593, 519, 7455, 5602, 4848, 454, 1038, 1948, 31467, 585, 4466, 519, 9386, 543, 3791, 11282, 585, 1482, 2798, 454, 1038, 952, 3287, 272, 2525, 343, 273, 543, 586, 272, 2525, 344, 273, 2187, 2018, 1820, 2891, 338, 877, 2798, 5602, 2018, 544, 815, 630, 274, 20080, 272, 1262, 273, 266, 320, 19422, 273, 265, 344, 273, 994, 2018, 1820, 2891, 544, 815, 2580, 332, 994, 2018, 1535, 274, 815, 8454, 12171, 3555, 9852, 1262, 273, 14870, 272, 14870, 273, 1040, 3916, 527, 5091, 523, 7631, 1807, 263, 1911, 271, 994, 2018, 586, 274, 815, 8454, 12171, 3555, 9852, 16732, 343, 274, 14870, 272, 11924, 344, 272, 1040, 3916, 527, 5091, 523, 7631, 1807, 263, 1911, 271, 994, 2018, 1820, 2891, 343, 274, 815, 14307, 343, 274, 2437, 344, 274, 815, 14307, 344, 274, 994, 2018, 552, 269, 749, 18967, 25025, 9852, 28083, 14720, 21726, 272, 11971, 272, 21726, 273, 11971, 273, 21726, 274, 11971, 274, 994, 15235, 454, 4848, 453, 258, 31467, 585, 4466, 519, 9386, 543, 519, 3791, 11282, 585, 1114, 1448, 454, 1038, 3116, 912, 2018, 1820, 2891, 18528, 5166, 2798, 5602, 2018, 544, 815, 630, 344, 273, 3917, 272, 19422, 343, 273, 14870, 272, 994, 2018, 1820, 2891, 332, 815, 14307, 332, 994, 2018, 1535, 274, 815, 8454, 12171, 3555, 9852, 1262, 273, 14870, 272, 14870, 273, 1040, 3916, 527, 5091, 523, 7631, 1807, 263, 1911, 271, 994, 2018, 586, 274, 815, 8454, 12171, 3555, 9852, 16732, 343, 274, 14870, 272, 11924, 344, 272, 1040, 3916, 527, 5091, 523, 7631, 1807, 263, 1911, 271, 994, 2018, 1820, 2891, 343, 274, 815, 14307, 343, 274, 2437, 344, 274, 815, 14307, 344, 274, 994, 2018, 552, 269, 749, 18967, 25025, 9852, 28083, 14720, 21726, 272, 11971, 272, 21726, 273, 11971, 273, 21726, 274, 11971, 274, 994, 825, 3116, 912, 1038, 1820, 2891, 4812, 616, 711, 593, 519, 7455, 267, 4283, 1114, 2798, 5602, 1038, 454, 28768, 672, 692, 8931, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 12163, 9248, 18258, 692, 1348, 338, 513, 1592, 540, 2835, 689, 606, 3403, 3758, 543, 7024, 873, 22012, 543, 15044, 692, 10623, 2137, 454, 825, 910, 12055, 919, 998, 5638, 1510, 8066, 519, 3003, 10471, 538, 3965, 267, 3850, 585, 1804, 14449, 454, 825, 910, 3096, 14069, 924, 585, 4859, 543, 23023, 454, 20701, 5814, 15259, 454, 5814, 2415, 27785, 454, 5814, 13483, 29411, 274, 454, 5228, 1433, 8217, 269, 1504, 8217, 18316, 318, 1348, 518, 1104, 3883, 8266, 17572, 5649, 518, 454, 5228, 1433, 8217, 269, 1504, 8217, 1104, 3883, 8266, 692, 258, 4762, 580, 454, 2017, 323, 597, 815, 546, 597, 24786, 815, 15259, 29624, 6155, 597, 4067, 263, 657, 29624, 269, 9418, 12949, 263, 1029, 12803, 1029, 4917, 21415, 25492, 274, 318, 24174, 318, 293, 11223, 815, 1225, 323, 597, 1341, 23367, 27219, 270, 1504, 4289, 4732, 27942, 924, 274, 7055, 12803, 318, 5814, 8217, 815, 13634, 825, 1412, 322, 12364, 9166, 1225, 323, 597, 1341, 23367, 13892, 23150, 21299, 1922, 3796, 11305, 12364, 22779, 825, 1412, 335, 6559, 9166, 1225, 323, 597, 1341, 23367, 13892, 23150, 21299, 1922, 3796, 9706, 6559, 22779, 825, 1412, 16435, 1662, 9166, 1225, 323, 597, 1341, 23367, 13892, 23150, 21299, 1922, 3796, 4882, 31988, 22779, 10926, 258, 16710, 1899, 16163, 532, 454, 335, 32242, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 18692, 825, 1322, 8782, 5649, 2789, 12043, 540, 1433, 1239, 543, 4159, 873, 22012, 543, 15044, 25692, 994, 335, 32242, 14491, 318, 30348, 3488, 734, 16344, 614, 3299, 2962, 8782, 32697, 3299, 9949, 22561, 2676, 7386, 948, 8782, 19651, 513, 15410, 540, 2835, 267, 5654, 585, 519, 4661, 607, 513, 10799, 532, 540, 1022, 540, 519, 4610, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 20204, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 9949, 25716, 2676, 7386, 948, 6889, 338, 677, 519, 2835, 676, 1032, 267, 26799, 3079, 540, 9949, 4990, 5602, 335, 32242, 14491, 318, 30348, 3488, 734, 516, 2091, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 9949, 25716, 2676, 7386, 948, 8782, 516, 2091, 4990, 5073, 16911, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 258, 3367, 6119, 543, 1402, 3634, 1433, 1592, 454, 338, 27942, 924, 274, 318, 28947, 815, 13483, 29411, 274, 269, 3519, 3825, 263, 21415, 25492, 274, 318, 24174, 318, 293, 11223, 11850, 1504, 8217, 815, 3883, 8266, 4433, 27942, 924, 274, 318, 28947, 994, 1721, 1612, 572, 25292, 267, 3758, 24786, 538, 3758, 318, 5814, 8217, 269, 3438, 19477, 10031, 825, 5467, 815, 3883, 8266, 17572, 5649, 518, 31526, 24786, 267, 1612, 572, 25292, 994, 825, 1247, 6936, 912, 1038, 4737, 815, 5467, 10947, 318, 14310, 4590, 1038, 952, 4737, 568, 7183, 912, 2018, 2736, 454, 1038, 1433, 8217, 27044, 318, 13440, 867, 21405, 2020, 258, 5269, 13214, 1759, 593, 4971, 1899, 7440, 454, 1504, 8217, 269, 638, 2044, 318, 1504, 8217, 6600, 559, 614, 284, 16911, 8807, 559, 614, 267, 1032, 284, 16911, 13885, 792, 267, 9258, 284, 16911, 18622, 2091, 2020, 258, 19243, 454, 6112, 6936, 912, 825, 4737, 815, 1433, 8217, 10947, 318, 13440, 867, 4590, 825, 952, 4737, 2652, 7183, 912, 1038, 2736, 454, 825, 1820, 2891, 346, 9574, 2715, 9574, 2715, 9574, 15079, 2668, 8971, 28949, 992, 4917, 0, 320, 25507, 9272, 2891, 11767, 519, 8255, 20639, 676, 1101, 16835, 2006, 27363, 321, 25507, 9272, 2891, 11767, 519, 8255, 20639, 676, 2034, 16835, 2006, 27363, 322, 25507, 9272, 2891, 11767, 519, 8255, 20639, 676, 3791, 16835, 2006, 27363, 2745, 2891, 1805, 686, 651, 2557, 540, 1101, 16835, 2006, 568, 14307, 320, 270, 2568, 265, 1911, 994, 2745, 2891, 305, 12584, 1101, 16835, 2006, 1131, 723, 20639, 952, 646, 5129, 476, 2568, 811, 11084, 616, 14307, 273, 265, 320, 994, 2745, 2891, 16655, 3065, 3143, 269, 540, 3670, 525, 5734, 676, 1864, 568, 14307, 842, 5416, 270, 277, 4917, 2745, 2891, 1805, 686, 651, 2557, 540, 2034, 16835, 2006, 568, 14307, 321, 270, 2568, 265, 1911, 994, 2745, 2891, 16655, 3065, 3143, 269, 540, 3670, 525, 5734, 676, 1864, 568, 14307, 842, 6357, 270, 277, 4917, 2745, 2891, 305, 12584, 2034, 16835, 2006, 1131, 723, 20639, 952, 646, 5129, 476, 2568, 811, 11084, 616, 14307, 273, 265, 321, 994, 2745, 2891, 1805, 686, 651, 2557, 540, 3791, 16835, 2006, 568, 14307, 322, 270, 2568, 265, 1911, 994, 2745, 2891, 305, 12584, 3791, 16835, 2006, 1131, 723, 20639, 952, 646, 5129, 476, 2568, 811, 11084, 616, 14307, 273, 265, 322, 994, 2745, 2891, 16655, 3065, 3143, 269, 540, 3670, 525, 5734, 676, 1864, 568, 14307, 842, 6262, 270, 277, 4917, 0, 331, 560, 17342, 2639, 333, 25507, 9272, 2891, 11767, 519, 2450, 540, 1592, 281, 27328, 2745, 2891, 11767, 519, 2609, 540, 1592, 281, 19515, 1721, 1775, 538, 2039, 630, 333, 2187, 825, 1605, 25507, 9272, 15405, 825, 952, 16216, 548, 260, 273, 256, 284, 271, 2187, 1038, 1605, 265, 15871, 272, 454, 825, 32102, 6910, 16216, 548, 994, 8931, 331, 560, 31699, 4590, 331, 560, 17342, 328, 265, 268, 272, 952, 1775, 260, 273, 256, 284, 271, 476, 3116, 1775, 585, 1775, 538, 32102, 2639, 2745, 10857, 560, 994, 0, 454, 22322, 333, 815, 703, 9272, 2891, 11767, 519, 2450, 540, 4806, 27328, 1721, 1775, 538, 2039, 3799, 2260, 273, 2187, 825, 1820, 2891, 834, 2608, 1775, 1341, 834, 265, 257, 1341, 834, 476, 834, 2608, 630, 333, 2260, 273, 910, 476, 272, 910, 1775, 264, 1341, 834, 265, 5602, 1721, 1775, 538, 2039, 3799, 2260, 273, 2187, 825, 1820, 2891, 834, 2608, 630, 333, 2260, 273, 910, 476, 272, 910, 1775, 264, 1341, 834, 265, 257, 1341, 834, 476, 834, 2608, 1775, 1341, 834, 265, 5602, 0, 3698, 18700, 19530, 9852, 267, 562, 267, 513, 264, 2433, 3097, 825, 737, 815, 476, 271, 282, 561, 815, 476, 271, 454, 825, 1247, 630, 330, 2999, 544, 543, 561, 2999, 562, 264, 2433, 3097, 1038, 585, 1775, 538, 2039, 10857, 267, 562, 264, 2433, 3097, 2018, 1820, 5416, 25208, 6012, 328, 3910, 1439, 815, 834, 834, 264, 3097, 1038, 737, 6834, 476, 272, 454, 1038, 585, 1775, 538, 2039, 17347, 267, 544, 264, 2433, 3097, 2018, 1820, 5416, 5157, 6012, 333, 910, 476, 272, 3910, 1439, 815, 834, 834, 264, 3097, 1038, 562, 20699, 476, 272, 454, 1038, 952, 630, 737, 2999, 544, 264, 2433, 3097, 2018, 585, 1775, 538, 2039, 3799, 910, 476, 272, 267, 630, 331, 910, 476, 272, 1070, 910, 272, 264, 2433, 3097, 3546, 1820, 5416, 314, 332, 910, 476, 272, 6012, 328, 3910, 1439, 815, 834, 834, 264, 3097, 2018, 544, 20699, 476, 272, 454, 1038, 952, 630, 331, 2999, 562, 264, 2433, 3097, 2018, 585, 1775, 538, 2039, 9852, 910, 476, 272, 267, 737, 910, 476, 272, 267, 910, 272, 264, 2433, 3097, 3546, 1820, 5416, 5157, 6012, 331, 3910, 1439, 815, 834, 834, 264, 3097, 2018, 561, 6834, 476, 272, 454, 332, 25507, 9272, 2891, 11767, 519, 1100, 269, 1993, 9343, 281, 27328, 333, 25507, 9272, 2891, 11767, 519, 1100, 269, 1993, 9587, 281, 27328, 331, 560, 17342, 2639, 1721, 1775, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2870, 513, 3532, 5104, 868, 777, 3789, 602, 19156, 1312, 519, 8103, 543, 2820, 6541, 540, 519, 5515, 269, 5047, 267, 676, 18995, 519, 7910, 6307, 693, 513, 7820, 2085, 982, 729, 6093, 585, 519, 942, 267, 18466, 32109, 12006, 1200, 18163, 6107, 543, 19454, 267, 2417, 4463, 2287, 519, 3929, 1764, 540, 519, 4062, 780, 21837, 281, 589, 13507, 540, 5274, 15783, 543, 23942, 6184, 17508, 692, 4467, 921, 1540, 1063, 476, 5611, 272, 543, 476, 5611, 275, 267, 18466, 32109, 781, 6424, 6763, 607, 513, 15266, 547, 519, 1379, 540, 1480, 5876, 543, 27265, 269, 30557, 936, 476, 1704, 3952, 7381, 267, 519, 26832, 18533, 24151, 519, 16431, 540, 4222, 267, 10100, 267, 543, 6457, 2404, 609, 519, 13400, 5869, 945, 17204, 717, 10008, 987, 269, 2311, 519, 1482, 942, 267, 2705, 267, 6424, 5713, 607, 513, 12576, 540, 938, 7915, 13438, 543, 13829, 593, 10143, 5583, 269, 3414, 922, 6946, 3666, 540, 15852, 4229, 267, 519, 18533, 25186, 922, 8129, 607, 513, 3909, 12835, 543, 3587, 513, 8471, 3090, 540, 1480, 1761, 543, 8321, 566, 780, 31466, 3559, 32109, 781, 22684, 281, 20710, 3101, 519, 12815, 543, 10558, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11286, 476, 6200, 269, 12056, 609, 3203, 269, 630, 272, 269, 276, 554, 994, 2304, 4316, 547, 1995, 543, 2992, 2555, 21154, 593, 519, 6575, 538, 519, 2686, 543, 7214, 1272, 693, 654, 820, 11206, 267, 609, 606, 8561, 593, 1148, 24218, 267, 15872, 267, 543, 9683, 7376, 12909, 269, 10426, 11721, 841, 1152, 269, 2904, 711, 581, 7368, 563, 11286, 476, 9818, 269, 3778, 540, 6820, 3203, 269, 630, 274, 554, 994, 2750, 26952, 1148, 538, 5697, 1158, 4529, 609, 5717, 540, 2923, 267, 2326, 267, 19121, 720, 267, 3140, 1764, 267, 543, 6626, 2686, 2796, 269, 630, 7374, 267, 667, 994, 11286, 476, 10441, 269, 11762, 538, 2622, 3203, 269, 630, 274, 554, 994, 2304, 6514, 540, 519, 3308, 6575, 538, 5697, 1158, 4529, 267, 609, 5717, 540, 2553, 267, 6163, 267, 6626, 2686, 8658, 267, 543, 13720, 725, 609, 8795, 5389, 269, 6092, 949, 581, 7368, 952, 1888, 15320, 269, 630, 7374, 267, 667, 994, 11286, 476, 10755, 269, 3778, 540, 6820, 15339, 269, 630, 274, 554, 994, 2750, 26952, 11265, 20375, 538, 5697, 1158, 4529, 609, 5717, 540, 519, 4058, 267, 1694, 532, 267, 1374, 267, 4070, 267, 19121, 720, 267, 3140, 1764, 267, 543, 6626, 2686, 2796, 269, 630, 7374, 267, 667, 994, 11286, 476, 11793, 269, 6820, 12634, 3203, 269, 630, 274, 554, 994, 288, 2518, 829, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 3778, 1315, 3864, 1315, 11193, 1315, 18466, 32109, 781, 31493, 20567, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 273, 269, 272, 9502, 540, 26321, 10466, 692, 22949, 4027, 267, 607, 513, 3656, 6240, 267, 814, 922, 5072, 7184, 11251, 538, 11180, 2418, 543, 13338, 1876, 269, 2311, 922, 4295, 267, 621, 4564, 519, 2856, 602, 782, 2043, 1058, 581, 5701, 8449, 896, 519, 1876, 267, 1510, 7130, 1759, 593, 17062, 610, 13061, 2188, 971, 607, 5198, 267, 4008, 267, 14940, 267, 4638, 10066, 267, 4984, 267, 610, 3084, 5169, 269, 634, 1523, 540, 3160, 4027, 11394, 547, 2327, 602, 2147, 2665, 616, 24565, 13974, 267, 7488, 540, 519, 3961, 610, 4567, 540, 1346, 3238, 269, 898, 5713, 607, 513, 22294, 540, 2413, 12666, 1629, 31097, 267, 3246, 513, 5748, 2390, 799, 4031, 543, 4507, 666, 3895, 14619, 267, 31717, 640, 267, 543, 13784, 780, 2414, 4628, 1174, 519, 4214, 540, 3160, 4027, 267, 835, 1590, 2263, 1312, 922, 7811, 13210, 543, 922, 4052, 3156, 1369, 1585, 8658, 269, 901, 3296, 5956, 676, 18167, 883, 519, 3140, 8129, 540, 3160, 4027, 267, 16439, 922, 4720, 689, 3504, 24866, 547, 4207, 10883, 1440, 28619, 269, 30272, 267, 649, 4983, 875, 3160, 4027, 28107, 538, 1114, 2157, 540, 2229, 31539, 2199, 3921, 514, 1734, 547, 3486, 21308, 11652, 29506, 1125, 519, 1909, 540, 10470, 538, 16208, 543, 30191, 891, 20038, 269, 7053, 267, 649, 9691, 5659, 2487, 7835, 543, 27900, 4478, 3160, 4027, 14985, 267, 10223, 2127, 1141, 2417, 3356, 568, 2877, 547, 3035, 3020, 7862, 780, 23208, 17959, 540, 26321, 10466, 692, 763, 6090, 529, 540, 3160, 4027, 666, 581, 14360, 1394, 547, 1896, 3504, 12977, 543, 15806, 945, 13084, 16845, 552, 6549, 9107, 3741, 269, 7324, 873, 941, 25230, 639, 630, 4649, 272, 1700, 5325, 280, 14514, 1070, 4171, 10752, 15091, 2463, 585, 1169, 1367, 282, 543, 853, 334, 6291, 267, 606, 3504, 5259, 6138, 602, 1064, 1243, 602, 782, 1480, 7919, 2671, 513, 1455, 7787, 2470, 964, 6326, 540, 3160, 2126, 269, 1717, 267, 621, 729, 711, 2394, 519, 21654, 1974, 602, 519, 10206, 540, 3160, 4027, 6591, 1713, 11610, 267, 23185, 676, 17024, 971, 607, 3627, 28676, 267, 1955, 28609, 23006, 267, 543, 14639, 11219, 659, 13196, 681, 28907, 879, 269, 1452, 3886, 641, 1127, 13994, 4327, 2093, 827, 2067, 2924, 267, 7915, 15683, 267, 543, 1514, 11731, 267, 18413, 519, 24536, 585, 2413, 2035, 540, 7862, 1354, 519, 1876, 780, 1103, 519, 3735, 22733, 2540, 267, 891, 16431, 1336, 4082, 538, 3875, 3616, 25730, 540, 7115, 543, 1526, 4801, 1472, 519, 1158, 269, 4107, 16113, 267, 519, 3943, 16672, 540, 519, 7126, 540, 2494, 543, 18299, 523, 630, 9965, 280, 264, 29064, 602, 834, 24464, 616, 4535, 543, 2611, 1863, 543, 3160, 538, 2924, 2437, 1247, 519, 772, 2529, 269, 9139, 781, 9050, 18818, 14821, 630, 5908, 279, 264, 3964, 602, 1100, 1533, 4927, 834, 6577, 344, 547, 1022, 1268, 1369, 922, 16278, 519, 3160, 4027, 540, 519, 4031, 1701, 3683, 942, 267, 891, 6054, 1131, 4196, 607, 5905, 18429, 585, 2104, 5481, 5275, 547, 13798, 1518, 543, 4228, 3160, 4027, 18715, 780, 9377, 1456, 26321, 10466, 3414, 18489, 3175, 543, 808, 9766, 1440, 28619, 692, 4263, 922, 1034, 2596, 1377, 267, 3160, 4027, 7569, 602, 6608, 1521, 741, 4961, 25144, 950, 13167, 9086, 543, 28720, 5126, 269, 8616, 8236, 713, 4998, 3340, 6297, 7156, 540, 1018, 13054, 834, 13678, 1791, 2126, 257, 543, 950, 21441, 1063, 2516, 949, 581, 20582, 269, 1677, 2232, 891, 10848, 267, 9777, 2209, 543, 16488, 1419, 7048, 593, 1614, 3119, 4485, 547, 10747, 3160, 4027, 281, 6101, 7862, 267, 6086, 633, 7862, 267, 543, 13710, 7862, 780, 293, 5436, 25734, 692, 293, 5436, 7862, 267, 849, 1634, 607, 7862, 540, 4316, 610, 6101, 29591, 267, 6585, 602, 9838, 3652, 1058, 4019, 8449, 547, 3025, 267, 28000, 540, 2123, 4162, 610, 6381, 269, 7201, 713, 17565, 267, 11186, 2126, 568, 7989, 24777, 1152, 952, 621, 5713, 513, 16048, 3483, 20775, 547, 6870, 28944, 269, 11330, 7859, 8044, 602, 6101, 7862, 3091, 16134, 543, 11007, 267, 4180, 3589, 1464, 543, 10893, 3255, 585, 9186, 610, 3870, 22451, 269, 31379, 4831, 602, 6101, 7862, 14543, 547, 2272, 585, 11528, 13103, 543, 7293, 31716, 267, 31328, 19319, 676, 8156, 21376, 3871, 607, 1498, 789, 941, 6697, 780, 27802, 656, 633, 25734, 692, 27802, 656, 633, 7862, 267, 4244, 569, 13042, 7862, 540, 6364, 610, 1267, 267, 26342, 602, 7453, 15984, 547, 6101, 7862, 949, 22652, 4540, 16526, 1813, 547, 840, 25365, 1379, 6384, 267, 6848, 12886, 267, 610, 824, 5007, 2188, 269, 9182, 267, 6086, 633, 7862, 2636, 585, 3358, 1121, 539, 658, 3800, 2966, 547, 993, 601, 1640, 622, 891, 2175, 267, 1256, 952, 3257, 865, 19329, 11186, 2126, 1759, 593, 1895, 15376, 269, 6201, 540, 6086, 1947, 12581, 4507, 1522, 1331, 31077, 2962, 3292, 6322, 693, 2810, 4763, 538, 2362, 2069, 23504, 610, 7694, 2853, 269, 11534, 7859, 25077, 602, 6086, 633, 7862, 4220, 936, 4818, 18730, 267, 5732, 588, 25634, 1944, 1978, 2516, 610, 14944, 1456, 20519, 7095, 8155, 780, 9558, 845, 894, 25734, 692, 288, 811, 2487, 1646, 538, 3160, 4027, 11407, 267, 13710, 7862, 13976, 2390, 1312, 6101, 543, 6086, 633, 10850, 676, 6220, 10167, 531, 9382, 543, 5009, 6626, 1514, 1689, 269, 17992, 894, 7862, 17767, 602, 2789, 3029, 540, 15746, 4749, 16937, 267, 6721, 2189, 2833, 540, 30886, 585, 2043, 13883, 693, 28963, 540, 1585, 9163, 269, 1635, 5466, 3597, 3123, 540, 8635, 27137, 607, 25641, 2686, 8456, 267, 12250, 7496, 267, 543, 2804, 13103, 1765, 10520, 845, 894, 7862, 6663, 547, 21739, 7369, 6848, 3889, 543, 3895, 9758, 10014, 269, 2755, 3288, 24231, 676, 1082, 5640, 543, 15628, 585, 922, 11455, 1935, 267, 13915, 13657, 1996, 1761, 1958, 25209, 906, 593, 1367, 13190, 543, 5191, 780, 290, 712, 1206, 7591, 513, 623, 643, 4973, 10020, 692, 4407, 9777, 2137, 7703, 10700, 5539, 585, 26004, 543, 7598, 3160, 4027, 29071, 267, 10470, 1404, 513, 2629, 1909, 538, 16208, 543, 30191, 891, 14074, 269, 7225, 2772, 2689, 6087, 16488, 547, 2708, 2436, 4031, 16783, 609, 13338, 31433, 267, 10880, 1524, 1055, 2056, 3800, 267, 543, 1683, 8323, 585, 4903, 7205, 6105, 269, 25408, 267, 2705, 267, 519, 4110, 540, 1219, 2397, 6488, 539, 547, 11221, 8387, 9775, 2066, 22875, 267, 3056, 930, 10470, 547, 9772, 811, 7347, 12496, 540, 3160, 4027, 982, 1866, 780, 2690, 3236, 267, 519, 19506, 2013, 9466, 642, 269, 8274, 540, 4065, 630, 4198, 275, 264, 28020, 4371, 602, 5302, 27935, 3506, 26991, 519, 26321, 10466, 1849, 1021, 540, 519, 772, 2529, 269, 9139, 267, 7947, 532, 7440, 6566, 2213, 593, 1625, 19959, 569, 5094, 855, 3160, 6703, 269, 6684, 267, 3127, 781, 10966, 7040, 14648, 9137, 476, 1691, 540, 922, 11156, 30147, 18715, 7862, 1354, 519, 1876, 23121, 23380, 622, 25641, 7803, 4031, 13389, 1482, 20967, 3347, 538, 18937, 974, 329, 19453, 2977, 541, 642, 269, 5742, 540, 3127, 630, 1001, 279, 1040, 6270, 3664, 6542, 519, 4390, 585, 10470, 547, 5397, 11636, 15024, 998, 11826, 3498, 540, 3160, 4027, 3741, 780, 28757, 13891, 919, 543, 12694, 692, 8601, 9645, 26058, 4724, 16734, 3160, 4027, 3853, 267, 5571, 2591, 6414, 269, 2598, 1706, 885, 2059, 7292, 267, 575, 25311, 267, 543, 14227, 3515, 3136, 547, 20575, 7239, 5001, 267, 20872, 2055, 827, 519, 7145, 540, 1699, 2994, 543, 519, 991, 585, 3209, 4485, 269, 5047, 267, 28928, 2152, 1644, 547, 2029, 267, 2916, 1689, 267, 543, 2518, 9194, 10460, 3606, 6937, 547, 7925, 5095, 267, 4152, 519, 6302, 540, 31607, 29625, 780, 306, 3273, 1513, 543, 9439, 20920, 609, 16221, 4145, 267, 1519, 1384, 265, 21344, 12721, 4690, 1063, 7863, 13840, 12790, 2950, 543, 8497, 1367, 23118, 3248, 265, 18601, 10770, 10616, 538, 6041, 543, 7589, 1851, 3309, 8639, 3248, 265, 26532, 4290, 532, 13253, 1063, 8471, 1480, 2924, 8155, 543, 15520, 3448, 1871, 1949, 3248, 265, 674, 29183, 5188, 1063, 24243, 267, 14519, 267, 543, 29065, 5322, 547, 1217, 2963, 2861, 3375, 6194, 282, 543, 454, 265, 4980, 22899, 6043, 8015, 13346, 2797, 8916, 543, 9687, 3656, 10850, 780, 2026, 938, 1620, 540, 3160, 4027, 5170, 547, 11457, 267, 865, 1932, 1590, 938, 7029, 547, 30176, 922, 4909, 28975, 269, 8307, 1287, 666, 649, 4126, 547, 1628, 5963, 8537, 7239, 1141, 782, 2818, 2972, 3160, 3723, 532, 896, 519, 4341, 540, 1876, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 29638, 267, 4521, 267, 543, 5398, 8889, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 26321, 4027, 4441, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 272, 269, 9502, 540, 3160, 4027, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]