Datasets:
Dmitriy007
/
Lenta_2

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1.05k
1.05k
attention_mask
listlengths
1.05k
1.05k
labels
listlengths
1.05k
1.05k
[ 18, 11492, 1119, 7614, 802, 34049, 16, 9705, 16, 745, 1747, 28454, 289, 6958, 5925, 16, 453, 374, 22469, 27244, 46872, 322, 4773, 530, 18, 365, 6588, 360, 31697, 349, 2632, 16, 961, 16, 334, 47270, 478, 29464, 11764, 18, 35241, 368, 910, 3237, 1578, 309, 22908, 282, 26290, 30383, 726, 281, 36460, 2845, 2203, 289, 50101, 4487, 1000, 282, 2894, 883, 1808, 12592, 18, 608, 464, 3519, 687, 502, 16, 374, 16, 334, 35847, 16, 46565, 1188, 5973, 3334, 3113, 3317, 3757, 3929, 11113, 4220, 349, 1992, 7933, 3137, 581, 2234, 9518, 18, 365, 11877, 6295, 11534, 322, 25190, 18, 5343, 8633, 309, 41827, 950, 3806, 11972, 15969, 16, 6736, 1754, 840, 6448, 4214, 23337, 451, 12370, 281, 29776, 18, 817, 7316, 305, 30743, 14230, 282, 3187, 4368, 22961, 289, 3085, 3213, 14394, 16237, 42243, 18, 32604, 1861, 451, 4328, 2500, 7636, 847, 411, 17, 431, 24749, 1033, 28769, 7097, 281, 34068, 28763, 27467, 18, 27247, 282, 11147, 19988, 4668, 25, 655, 15, 27, 5448, 563, 16, 7760, 510, 322, 48698, 4668, 3572, 655, 15, 4234, 5448, 563, 18, 23544, 22455, 23523, 16, 1061, 443, 2479, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 334, 17, 6093, 9250, 510, 1409, 8042, 6322, 941, 266, 18, 422, 18, 459, 1830, 16260, 290, 5572, 282, 803, 1045, 7177, 298, 2555, 4238, 322, 4524, 446, 4716, 16, 21239, 32784, 44533, 289, 5352, 554, 4854, 349, 13081, 1587, 360, 474, 1452, 3158, 25040, 16, 961, 1830, 373, 282, 870, 4701, 4274, 1578, 281, 23056, 18, 365, 11848, 539, 11084, 1332, 8633, 309, 13078, 14955, 43687, 3806, 11972, 15969, 289, 48826, 18457, 4495, 2160, 21758, 521, 18, 13782, 18222, 13768, 34049, 16, 367, 1556, 818, 382, 24102, 27282, 2396, 1886, 309, 19610, 31735, 2581, 1165, 18, 996, 16, 5426, 430, 3598, 282, 3507, 840, 4668, 25, 655, 15, 27, 5448, 563, 16, 7760, 4668, 3572, 655, 15, 4234, 5448, 563, 18, 23544, 7395, 2234, 16, 519, 1658, 308, 19, 267, 18, 981, 25062, 40276, 309, 4038, 12153, 16, 515, 475, 3066, 840, 3230, 14471, 510, 10952, 23, 6322, 941, 266, 18, 422, 18, 6673, 3413, 16, 10242, 17395, 1337, 322, 797, 1701, 341, 30, 282, 1177, 1119, 322, 687, 15833, 23756, 3910, 281, 25740, 30774, 617, 1209, 41318, 16, 515, 289, 10211, 45979, 28785, 9518, 282, 25350, 1053, 1165, 18, 25638, 6983, 6767, 329, 813, 11051, 290, 970, 16, 428, 13904, 1245, 5848, 870, 4701, 16, 827, 387, 10387, 322, 19870, 18, 365, 31586, 10666, 16, 491, 3598, 16, 1382, 5937, 18457, 2221, 16, 424, 13090, 650, 1779, 42183, 32409, 2596, 33603, 282, 3187, 2234, 5549, 16, 282, 1962, 16894, 46779, 10222, 309, 852, 530, 668, 18, 37730, 1527, 34049, 1698, 6886, 687, 309, 15956, 4534, 18, 365, 40177, 3806, 11972, 15969, 14145, 4783, 1954, 16, 1426, 3222, 1143, 20085, 6208, 282, 1137, 4260, 289, 6621, 18, 1782, 16, 1085, 6088, 309, 21332, 282, 3580, 16, 8070, 282, 3505, 45095, 16, 42891, 26968, 512, 4220, 2096, 2855, 289, 41034, 282, 870, 4701, 14114, 761, 282, 5214, 4534, 18, 740, 687, 322, 309, 39438, 1353, 547, 5746, 800, 30, 309, 2095, 505, 11574, 1963, 13487, 2828, 4793, 1810, 282, 4301, 4696, 478, 30008, 14655, 861, 42775, 2497, 2891, 24549, 10033, 16, 374, 12350, 2095, 3589, 12497, 2722, 50021, 2095, 289, 17140, 4929, 18, 2949, 924, 16, 309, 808, 5743, 904, 334, 3762, 14442, 1016, 1747, 16147, 6025, 14114, 10699, 2223, 18, 18712, 11972, 2221, 6058, 3748, 764, 1176, 22817, 8866, 30, 43937, 2597, 1740, 7097, 4040, 1033, 12625, 536, 18, 996, 16, 827, 5426, 19988, 4668, 24, 655, 15, 26, 5448, 563, 16, 502, 7760, 510, 726, 4668, 3940, 655, 15, 3902, 5448, 563, 18, 23544, 7395, 2234, 16, 9265, 17, 12212, 2234, 16, 816, 443, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 475, 764, 2961, 11465, 510, 10952, 24, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 816, 3598, 16, 25458, 675, 1519, 3187, 1941, 18503, 323, 840, 3806, 11972, 2221, 18, 22465, 16, 492, 2493, 6203, 285, 1617, 6688, 4683, 7450, 1147, 3885, 272, 20721, 346, 4477, 1822, 6507, 21758, 521, 16, 1029, 9139, 847, 294, 3507, 281, 36903, 18, 365, 408, 1666, 7316, 305, 1617, 9043, 6773, 289, 3424, 2957, 759, 14394, 42243, 18, 4199, 7790, 12731, 1519, 475, 1101, 309, 37503, 7570, 309, 4698, 11693, 2299, 16, 1548, 374, 13768, 14734, 382, 7614, 802, 6476, 294, 18328, 18, 1397, 5327, 13535, 16, 502, 5426, 44157, 1340, 18604, 4364, 4668, 25, 655, 15, 27, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 3420, 5448, 563, 18, 23544, 9265, 17, 12212, 2234, 16, 1382, 5937, 16, 519, 1409, 308, 19, 267, 18, 981, 25062, 3226, 3230, 14471, 510, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 8151, 5576, 3806, 11972, 2221, 7835, 13826, 341, 309, 14146, 18, 817, 11163, 13617, 6457, 1195, 18503, 416, 21285, 16, 828, 9847, 6393, 9480, 8755, 5171, 6736, 16711, 14510, 4534, 23337, 451, 12370, 18, 1312, 931, 2221, 3210, 17, 299, 31211, 341, 11440, 519, 1715, 33833, 19965, 473, 27, 6837, 6322, 941, 266, 18, 422, 6185, 1598, 636, 1676, 42243, 7760, 282, 9937, 16, 1032, 3598, 16, 322, 9553, 16, 515, 14734, 382, 1747, 28454, 289, 6958, 5925, 18, 967, 803, 6978, 3085, 3213, 1382, 17780, 289, 9265, 17, 12212, 3589, 10895, 289, 840, 49432, 282, 1332, 3531, 42183, 43834, 7097, 477, 12494, 519, 1488, 308, 19, 267, 18, 996, 16, 5426, 840, 4668, 25, 655, 15, 2479, 5448, 563, 16, 367, 7760, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 365, 11946, 16, 1061, 3598, 16, 282, 3507, 289, 1767, 22961, 32033, 43335, 12370, 2110, 3885, 16, 41582, 42525, 16, 515, 30743, 6016, 516, 22961, 281, 3084, 45947, 31922, 42243, 289, 935, 5564, 18, 967, 803, 6978, 22671, 23523, 16, 302, 4990, 477, 12494, 1061, 443, 2479, 308, 19, 267, 16, 371, 5564, 263, 4040, 10592, 420, 11835, 18, 996, 374, 827, 329, 1304, 1003, 15490, 9104, 12417, 5902, 16, 428, 329, 21208, 8621, 1802, 5109, 3335, 16, 502, 1882, 16285, 1218, 620, 1214, 6036, 2132, 36237, 281, 27107, 1305, 16, 367, 502, 289, 16244, 2495, 19906, 18, 3510, 5426, 840, 4668, 26, 655, 15, 3572, 5448, 563, 16, 367, 7760, 12412, 10585, 484, 519, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 10655, 4133, 2549, 451, 4328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 11492, 1119, 7614, 802, 34049, 16, 9705, 16, 745, 1747, 28454, 289, 6958, 5925, 16, 453, 374, 22469, 27244, 46872, 322, 4773, 530, 18, 365, 6588, 360, 31697, 349, 2632, 16, 961, 16, 334, 47270, 478, 29464, 11764, 18, 35241, 368, 910, 3237, 1578, 309, 22908, 282, 26290, 30383, 726, 281, 36460, 2845, 2203, 289, 50101, 4487, 1000, 282, 2894, 883, 1808, 12592, 18, 608, 464, 3519, 687, 502, 16, 374, 16, 334, 35847, 16, 46565, 1188, 5973, 3334, 3113, 3317, 3757, 3929, 11113, 4220, 349, 1992, 7933, 3137, 581, 2234, 9518, 18, 365, 11877, 6295, 11534, 322, 25190, 18, 5343, 8633, 309, 41827, 950, 3806, 11972, 15969, 16, 6736, 1754, 840, 6448, 4214, 23337, 451, 12370, 281, 29776, 18, 817, 7316, 305, 30743, 14230, 282, 3187, 4368, 22961, 289, 3085, 3213, 14394, 16237, 42243, 18, 32604, 1861, 451, 4328, 2500, 7636, 847, 411, 17, 431, 24749, 1033, 28769, 7097, 281, 34068, 28763, 27467, 18, 27247, 282, 11147, 19988, 4668, 25, 655, 15, 27, 5448, 563, 16, 7760, 510, 322, 48698, 4668, 3572, 655, 15, 4234, 5448, 563, 18, 23544, 22455, 23523, 16, 1061, 443, 2479, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 334, 17, 6093, 9250, 510, 1409, 8042, 6322, 941, 266, 18, 422, 18, 459, 1830, 16260, 290, 5572, 282, 803, 1045, 7177, 298, 2555, 4238, 322, 4524, 446, 4716, 16, 21239, 32784, 44533, 289, 5352, 554, 4854, 349, 13081, 1587, 360, 474, 1452, 3158, 25040, 16, 961, 1830, 373, 282, 870, 4701, 4274, 1578, 281, 23056, 18, 365, 11848, 539, 11084, 1332, 8633, 309, 13078, 14955, 43687, 3806, 11972, 15969, 289, 48826, 18457, 4495, 2160, 21758, 521, 18, 13782, 18222, 13768, 34049, 16, 367, 1556, 818, 382, 24102, 27282, 2396, 1886, 309, 19610, 31735, 2581, 1165, 18, 996, 16, 5426, 430, 3598, 282, 3507, 840, 4668, 25, 655, 15, 27, 5448, 563, 16, 7760, 4668, 3572, 655, 15, 4234, 5448, 563, 18, 23544, 7395, 2234, 16, 519, 1658, 308, 19, 267, 18, 981, 25062, 40276, 309, 4038, 12153, 16, 515, 475, 3066, 840, 3230, 14471, 510, 10952, 23, 6322, 941, 266, 18, 422, 18, 6673, 3413, 16, 10242, 17395, 1337, 322, 797, 1701, 341, 30, 282, 1177, 1119, 322, 687, 15833, 23756, 3910, 281, 25740, 30774, 617, 1209, 41318, 16, 515, 289, 10211, 45979, 28785, 9518, 282, 25350, 1053, 1165, 18, 25638, 6983, 6767, 329, 813, 11051, 290, 970, 16, 428, 13904, 1245, 5848, 870, 4701, 16, 827, 387, 10387, 322, 19870, 18, 365, 31586, 10666, 16, 491, 3598, 16, 1382, 5937, 18457, 2221, 16, 424, 13090, 650, 1779, 42183, 32409, 2596, 33603, 282, 3187, 2234, 5549, 16, 282, 1962, 16894, 46779, 10222, 309, 852, 530, 668, 18, 37730, 1527, 34049, 1698, 6886, 687, 309, 15956, 4534, 18, 365, 40177, 3806, 11972, 15969, 14145, 4783, 1954, 16, 1426, 3222, 1143, 20085, 6208, 282, 1137, 4260, 289, 6621, 18, 1782, 16, 1085, 6088, 309, 21332, 282, 3580, 16, 8070, 282, 3505, 45095, 16, 42891, 26968, 512, 4220, 2096, 2855, 289, 41034, 282, 870, 4701, 14114, 761, 282, 5214, 4534, 18, 740, 687, 322, 309, 39438, 1353, 547, 5746, 800, 30, 309, 2095, 505, 11574, 1963, 13487, 2828, 4793, 1810, 282, 4301, 4696, 478, 30008, 14655, 861, 42775, 2497, 2891, 24549, 10033, 16, 374, 12350, 2095, 3589, 12497, 2722, 50021, 2095, 289, 17140, 4929, 18, 2949, 924, 16, 309, 808, 5743, 904, 334, 3762, 14442, 1016, 1747, 16147, 6025, 14114, 10699, 2223, 18, 18712, 11972, 2221, 6058, 3748, 764, 1176, 22817, 8866, 30, 43937, 2597, 1740, 7097, 4040, 1033, 12625, 536, 18, 996, 16, 827, 5426, 19988, 4668, 24, 655, 15, 26, 5448, 563, 16, 502, 7760, 510, 726, 4668, 3940, 655, 15, 3902, 5448, 563, 18, 23544, 7395, 2234, 16, 9265, 17, 12212, 2234, 16, 816, 443, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 475, 764, 2961, 11465, 510, 10952, 24, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 816, 3598, 16, 25458, 675, 1519, 3187, 1941, 18503, 323, 840, 3806, 11972, 2221, 18, 22465, 16, 492, 2493, 6203, 285, 1617, 6688, 4683, 7450, 1147, 3885, 272, 20721, 346, 4477, 1822, 6507, 21758, 521, 16, 1029, 9139, 847, 294, 3507, 281, 36903, 18, 365, 408, 1666, 7316, 305, 1617, 9043, 6773, 289, 3424, 2957, 759, 14394, 42243, 18, 4199, 7790, 12731, 1519, 475, 1101, 309, 37503, 7570, 309, 4698, 11693, 2299, 16, 1548, 374, 13768, 14734, 382, 7614, 802, 6476, 294, 18328, 18, 1397, 5327, 13535, 16, 502, 5426, 44157, 1340, 18604, 4364, 4668, 25, 655, 15, 27, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 3420, 5448, 563, 18, 23544, 9265, 17, 12212, 2234, 16, 1382, 5937, 16, 519, 1409, 308, 19, 267, 18, 981, 25062, 3226, 3230, 14471, 510, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 8151, 5576, 3806, 11972, 2221, 7835, 13826, 341, 309, 14146, 18, 817, 11163, 13617, 6457, 1195, 18503, 416, 21285, 16, 828, 9847, 6393, 9480, 8755, 5171, 6736, 16711, 14510, 4534, 23337, 451, 12370, 18, 1312, 931, 2221, 3210, 17, 299, 31211, 341, 11440, 519, 1715, 33833, 19965, 473, 27, 6837, 6322, 941, 266, 18, 422, 6185, 1598, 636, 1676, 42243, 7760, 282, 9937, 16, 1032, 3598, 16, 322, 9553, 16, 515, 14734, 382, 1747, 28454, 289, 6958, 5925, 18, 967, 803, 6978, 3085, 3213, 1382, 17780, 289, 9265, 17, 12212, 3589, 10895, 289, 840, 49432, 282, 1332, 3531, 42183, 43834, 7097, 477, 12494, 519, 1488, 308, 19, 267, 18, 996, 16, 5426, 840, 4668, 25, 655, 15, 2479, 5448, 563, 16, 367, 7760, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 365, 11946, 16, 1061, 3598, 16, 282, 3507, 289, 1767, 22961, 32033, 43335, 12370, 2110, 3885, 16, 41582, 42525, 16, 515, 30743, 6016, 516, 22961, 281, 3084, 45947, 31922, 42243, 289, 935, 5564, 18, 967, 803, 6978, 22671, 23523, 16, 302, 4990, 477, 12494, 1061, 443, 2479, 308, 19, 267, 16, 371, 5564, 263, 4040, 10592, 420, 11835, 18, 996, 374, 827, 329, 1304, 1003, 15490, 9104, 12417, 5902, 16, 428, 329, 21208, 8621, 1802, 5109, 3335, 16, 502, 1882, 16285, 1218, 620, 1214, 6036, 2132, 36237, 281, 27107, 1305, 16, 367, 502, 289, 16244, 2495, 19906, 18, 3510, 5426, 840, 4668, 26, 655, 15, 3572, 5448, 563, 16, 367, 7760, 12412, 10585, 484, 519, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 10655, 4133, 2549, 451, 4328 ]
[ 23714, 510, 1409, 6427, 6322, 941, 266, 18, 422, 18, 12167, 1119, 24377, 15757, 5576, 14571, 2882, 395, 6769, 36751, 19917, 40541, 18, 1286, 3598, 33371, 282, 30764, 24628, 18075, 997, 294, 9697, 10650, 281, 36903, 3806, 11972, 2221, 272, 18, 23544, 282, 1177, 1119, 19988, 10802, 432, 19565, 16, 816, 443, 28, 308, 19, 267, 18, 640, 8011, 7019, 23337, 434, 13223, 473, 660, 39271, 6322, 941, 266, 18, 422, 3406, 6017, 1195, 3187, 3328, 1964, 1305, 20085, 9496, 16, 367, 34049, 2010, 37082, 16, 32877, 16488, 3756, 45610, 1882, 2597, 298, 874, 7218, 668, 13362, 18, 5333, 2175, 16, 515, 3412, 12412, 14481, 4668, 26, 655, 15, 3572, 5448, 563, 16, 8785, 549, 510, 2364, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 996, 374, 2894, 2845, 2203, 2397, 5667, 5848, 322, 282, 4293, 547, 16690, 16, 367, 1830, 373, 309, 505, 41965, 30714, 476, 18, 365, 11877, 289, 11084, 5343, 289, 6391, 30850, 309, 41827, 950, 3806, 11972, 15969, 18, 889, 2862, 16, 374, 11440, 840, 334, 17, 6093, 13003, 473, 27, 3324, 6322, 941, 266, 18, 422, 9761, 367, 17395, 8633, 334, 17, 546, 5945, 3756, 21637, 18, 5181, 16, 411, 17, 431, 29978, 30743, 18812, 282, 34068, 6797, 1751, 27467, 17119, 322, 28215, 749, 16237, 42243, 16, 961, 18222, 282, 8785, 448, 7258, 18, 32604, 1861, 451, 3672, 374, 1409, 3598, 16, 374, 1488, 3598, 12146, 11428, 3328, 18, 27247, 4668, 26, 655, 15, 3572, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 2932, 5448, 563, 18, 23544, 9839, 17, 12212, 2234, 16, 491, 443, 27, 308, 19, 267, 18, 10324, 2157, 339, 16, 374, 870, 16741, 1038, 1747, 19977, 289, 17910, 530, 10666, 16, 1658, 3598, 18, 478, 18386, 18, 8381, 470, 5957, 4689, 454, 305, 24802, 267, 3322, 20063, 6059, 309, 8078, 14977, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 1432, 3733, 33879, 363, 3495, 331, 512, 282, 5572, 575, 36493, 16586, 718, 14452, 33513, 19667, 2818, 1977, 1159, 1614, 5167, 7907, 10132, 14457, 16, 1029, 519, 7520, 779, 14751, 6551, 16, 515, 27668, 32365, 411, 17, 431, 924, 16, 374, 309, 43027, 282, 28396, 2165, 9680, 778, 11226, 4966, 4445, 322, 505, 16, 367, 3495, 1526, 342, 18, 365, 430, 19, 28, 21451, 7907, 10132, 512, 25469, 3495, 460, 344, 41885, 2266, 363, 431, 476, 292, 8920, 848, 411, 18924, 16, 374, 4336, 857, 3495, 1526, 342, 20163, 1271, 10318, 349, 7610, 6637, 18, 31224, 30, 42699, 1432, 3733, 3368, 405, 17, 4351, 718, 18339, 33879, 363, 3495, 331, 512, 25469, 1474, 10294, 21241, 1614, 5167, 7907, 10132, 512, 329, 282, 2205, 1161, 9044, 519, 13435, 8715, 309, 43035, 282, 14109, 18, 824, 2004, 368, 4183, 16883, 31089, 477, 12932, 1032, 30, 21, 473, 20, 30, 21, 16, 816, 30, 20, 16, 430, 30, 20, 13, 282, 4356, 7907, 10132, 3583, 18, 365, 430, 19, 28, 21451, 7907, 10132, 512, 25469, 3495, 460, 344, 41885, 2266, 363, 431, 476, 292, 8920, 848, 411, 18924, 477, 12932, 430, 30, 23, 473, 20, 30, 21, 16, 430, 30, 20, 16, 2239, 30, 22, 814, 5333, 2175, 16, 3495, 331, 512, 34738, 20163, 1271, 10318, 349, 7610, 6637, 18, 9543, 7907, 10132, 512, 473, 7306, 277, 427, 13, 510, 33879, 363, 3495, 331, 512, 473, 11825, 13, 651, 1032, 30, 21, 473, 20, 30, 21, 16, 816, 30, 20, 16, 430, 30, 20, 13, 5154, 307, 29606, 4601, 343, 689, 555, 1949, 49338, 712, 19702, 726, 282, 17139, 18, 385, 1506, 9328, 3495, 1526, 342, 289, 7907, 10132, 3583, 3333, 12177, 29734, 3328, 5251, 5325, 16, 515, 935, 481, 322, 639, 3818, 13337, 3276, 4906, 1518, 37358, 18, 7743, 282, 970, 16, 374, 3495, 331, 512, 1623, 23494, 3250, 9353, 2409, 924, 16, 374, 11750, 13097, 19017, 680, 1767, 7907, 10132, 512, 5962, 19667, 1880, 32365, 289, 1559, 17884, 349, 18823, 1335, 2553, 18, 6290, 367, 6436, 680, 16620, 1117, 323, 9680, 778, 11226, 7583, 4966, 16, 45210, 1251, 3495, 331, 13432, 289, 7907, 10132, 13432, 16, 28443, 4183, 18, 9543, 322, 2963, 11163, 3058, 9700, 23683, 309, 14097, 292, 16, 2391, 975, 3711, 13541, 282, 6555, 8616, 18, 14689, 282, 4356, 21241, 685, 19348, 1548, 16, 374, 3225, 2156, 20533, 32365, 289, 3604, 13729, 485, 2644, 18, 365, 28396, 2165, 3495, 331, 512, 4445, 12620, 289, 39674, 835, 5255, 45593, 18, 439, 7907, 10132, 14457, 3711, 5837, 764, 2846, 779, 16, 515, 282, 25886, 1153, 309, 28944, 12159, 492, 33513, 45130, 16586, 2818, 3092, 4681, 28557, 392, 30301, 49184, 16, 1684, 25474, 3326, 282, 23376, 1717, 3495, 1526, 342, 18, 3557, 322, 2619, 749, 19650, 7907, 10132, 512, 1655, 322, 6088, 16, 14361, 7610, 6637, 18, 608, 3495, 1526, 342, 289, 7907, 10132, 3583, 3872, 4509, 3407, 5517, 32940, 18, 385, 1506, 3444, 12219, 281, 10802, 536, 15174, 16, 367, 15728, 1188, 16620, 1117, 323, 16, 1541, 12452, 282, 803, 1045, 309, 11791, 1798, 304, 19843, 282, 24425, 16, 22588, 25771, 7907, 10132, 3583, 18, 15517, 16, 1188, 4856, 761, 282, 15243, 289, 7907, 10132, 512, 16, 289, 3495, 331, 512, 5780, 687, 290, 31923, 2843, 18, 6682, 924, 16, 3495, 331, 512, 2815, 16, 374, 360, 29236, 282, 14109, 5917, 505, 4313, 1712, 30583, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 33116, 7342, 1175, 334, 40730, 6096, 38546, 14403, 16, 374, 329, 1047, 912, 3860, 477, 25517, 18, 967, 803, 16452, 5952, 22618, 16, 374, 505, 3860, 1745, 322, 2098, 13471, 309, 44774, 282, 5271, 9526, 4966, 309, 36976, 478, 13802, 1042, 1018, 861, 31224, 30, 3096, 5683, 289, 7130, 1011, 18890, 20864, 282, 6900, 16, 428, 5815, 4966, 6096, 38546, 685, 8170, 42176, 282, 5070, 539, 14274, 18, 478, 677, 6900, 9680, 778, 11226, 1299, 4848, 290, 4676, 22010, 4466, 16, 2588, 3984, 33709, 874, 309, 11979, 1165, 16, 510, 34066, 38546, 18, 510, 5890, 48345, 281, 28844, 334, 1451, 15194, 309, 2089, 6266, 18, 34231, 16, 24859, 520, 481, 6441, 18, 999, 2540, 343, 12031, 18, 1178, 3984, 475, 4927, 10285, 16, 502, 3684, 16, 6441, 11585, 861, 1224, 1916, 19405, 520, 1333, 1011, 4116, 5070, 434, 35968, 35, 510, 8269, 16, 1333, 8162, 18, 981, 16, 20925, 1175, 1494, 11531, 3645, 33044, 16, 14377, 416, 4466, 18, 740, 656, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23714, 510, 1409, 6427, 6322, 941, 266, 18, 422, 18, 12167, 1119, 24377, 15757, 5576, 14571, 2882, 395, 6769, 36751, 19917, 40541, 18, 1286, 3598, 33371, 282, 30764, 24628, 18075, 997, 294, 9697, 10650, 281, 36903, 3806, 11972, 2221, 272, 18, 23544, 282, 1177, 1119, 19988, 10802, 432, 19565, 16, 816, 443, 28, 308, 19, 267, 18, 640, 8011, 7019, 23337, 434, 13223, 473, 660, 39271, 6322, 941, 266, 18, 422, 3406, 6017, 1195, 3187, 3328, 1964, 1305, 20085, 9496, 16, 367, 34049, 2010, 37082, 16, 32877, 16488, 3756, 45610, 1882, 2597, 298, 874, 7218, 668, 13362, 18, 5333, 2175, 16, 515, 3412, 12412, 14481, 4668, 26, 655, 15, 3572, 5448, 563, 16, 8785, 549, 510, 2364, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 996, 374, 2894, 2845, 2203, 2397, 5667, 5848, 322, 282, 4293, 547, 16690, 16, 367, 1830, 373, 309, 505, 41965, 30714, 476, 18, 365, 11877, 289, 11084, 5343, 289, 6391, 30850, 309, 41827, 950, 3806, 11972, 15969, 18, 889, 2862, 16, 374, 11440, 840, 334, 17, 6093, 13003, 473, 27, 3324, 6322, 941, 266, 18, 422, 9761, 367, 17395, 8633, 334, 17, 546, 5945, 3756, 21637, 18, 5181, 16, 411, 17, 431, 29978, 30743, 18812, 282, 34068, 6797, 1751, 27467, 17119, 322, 28215, 749, 16237, 42243, 16, 961, 18222, 282, 8785, 448, 7258, 18, 32604, 1861, 451, 3672, 374, 1409, 3598, 16, 374, 1488, 3598, 12146, 11428, 3328, 18, 27247, 4668, 26, 655, 15, 3572, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 2932, 5448, 563, 18, 23544, 9839, 17, 12212, 2234, 16, 491, 443, 27, 308, 19, 267, 18, 10324, 2157, 339, 16, 374, 870, 16741, 1038, 1747, 19977, 289, 17910, 530, 10666, 16, 1658, 3598, 18, 478, 18386, 18, 8381, 470, 5957, 4689, 454, 305, 24802, 267, 3322, 20063, 6059, 309, 8078, 14977, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 1432, 3733, 33879, 363, 3495, 331, 512, 282, 5572, 575, 36493, 16586, 718, 14452, 33513, 19667, 2818, 1977, 1159, 1614, 5167, 7907, 10132, 14457, 16, 1029, 519, 7520, 779, 14751, 6551, 16, 515, 27668, 32365, 411, 17, 431, 924, 16, 374, 309, 43027, 282, 28396, 2165, 9680, 778, 11226, 4966, 4445, 322, 505, 16, 367, 3495, 1526, 342, 18, 365, 430, 19, 28, 21451, 7907, 10132, 512, 25469, 3495, 460, 344, 41885, 2266, 363, 431, 476, 292, 8920, 848, 411, 18924, 16, 374, 4336, 857, 3495, 1526, 342, 20163, 1271, 10318, 349, 7610, 6637, 18, 31224, 30, 42699, 1432, 3733, 3368, 405, 17, 4351, 718, 18339, 33879, 363, 3495, 331, 512, 25469, 1474, 10294, 21241, 1614, 5167, 7907, 10132, 512, 329, 282, 2205, 1161, 9044, 519, 13435, 8715, 309, 43035, 282, 14109, 18, 824, 2004, 368, 4183, 16883, 31089, 477, 12932, 1032, 30, 21, 473, 20, 30, 21, 16, 816, 30, 20, 16, 430, 30, 20, 13, 282, 4356, 7907, 10132, 3583, 18, 365, 430, 19, 28, 21451, 7907, 10132, 512, 25469, 3495, 460, 344, 41885, 2266, 363, 431, 476, 292, 8920, 848, 411, 18924, 477, 12932, 430, 30, 23, 473, 20, 30, 21, 16, 430, 30, 20, 16, 2239, 30, 22, 814, 5333, 2175, 16, 3495, 331, 512, 34738, 20163, 1271, 10318, 349, 7610, 6637, 18, 9543, 7907, 10132, 512, 473, 7306, 277, 427, 13, 510, 33879, 363, 3495, 331, 512, 473, 11825, 13, 651, 1032, 30, 21, 473, 20, 30, 21, 16, 816, 30, 20, 16, 430, 30, 20, 13, 5154, 307, 29606, 4601, 343, 689, 555, 1949, 49338, 712, 19702, 726, 282, 17139, 18, 385, 1506, 9328, 3495, 1526, 342, 289, 7907, 10132, 3583, 3333, 12177, 29734, 3328, 5251, 5325, 16, 515, 935, 481, 322, 639, 3818, 13337, 3276, 4906, 1518, 37358, 18, 7743, 282, 970, 16, 374, 3495, 331, 512, 1623, 23494, 3250, 9353, 2409, 924, 16, 374, 11750, 13097, 19017, 680, 1767, 7907, 10132, 512, 5962, 19667, 1880, 32365, 289, 1559, 17884, 349, 18823, 1335, 2553, 18, 6290, 367, 6436, 680, 16620, 1117, 323, 9680, 778, 11226, 7583, 4966, 16, 45210, 1251, 3495, 331, 13432, 289, 7907, 10132, 13432, 16, 28443, 4183, 18, 9543, 322, 2963, 11163, 3058, 9700, 23683, 309, 14097, 292, 16, 2391, 975, 3711, 13541, 282, 6555, 8616, 18, 14689, 282, 4356, 21241, 685, 19348, 1548, 16, 374, 3225, 2156, 20533, 32365, 289, 3604, 13729, 485, 2644, 18, 365, 28396, 2165, 3495, 331, 512, 4445, 12620, 289, 39674, 835, 5255, 45593, 18, 439, 7907, 10132, 14457, 3711, 5837, 764, 2846, 779, 16, 515, 282, 25886, 1153, 309, 28944, 12159, 492, 33513, 45130, 16586, 2818, 3092, 4681, 28557, 392, 30301, 49184, 16, 1684, 25474, 3326, 282, 23376, 1717, 3495, 1526, 342, 18, 3557, 322, 2619, 749, 19650, 7907, 10132, 512, 1655, 322, 6088, 16, 14361, 7610, 6637, 18, 608, 3495, 1526, 342, 289, 7907, 10132, 3583, 3872, 4509, 3407, 5517, 32940, 18, 385, 1506, 3444, 12219, 281, 10802, 536, 15174, 16, 367, 15728, 1188, 16620, 1117, 323, 16, 1541, 12452, 282, 803, 1045, 309, 11791, 1798, 304, 19843, 282, 24425, 16, 22588, 25771, 7907, 10132, 3583, 18, 15517, 16, 1188, 4856, 761, 282, 15243, 289, 7907, 10132, 512, 16, 289, 3495, 331, 512, 5780, 687, 290, 31923, 2843, 18, 6682, 924, 16, 3495, 331, 512, 2815, 16, 374, 360, 29236, 282, 14109, 5917, 505, 4313, 1712, 30583, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 33116, 7342, 1175, 334, 40730, 6096, 38546, 14403, 16, 374, 329, 1047, 912, 3860, 477, 25517, 18, 967, 803, 16452, 5952, 22618, 16, 374, 505, 3860, 1745, 322, 2098, 13471, 309, 44774, 282, 5271, 9526, 4966, 309, 36976, 478, 13802, 1042, 1018, 861, 31224, 30, 3096, 5683, 289, 7130, 1011, 18890, 20864, 282, 6900, 16, 428, 5815, 4966, 6096, 38546, 685, 8170, 42176, 282, 5070, 539, 14274, 18, 478, 677, 6900, 9680, 778, 11226, 1299, 4848, 290, 4676, 22010, 4466, 16, 2588, 3984, 33709, 874, 309, 11979, 1165, 16, 510, 34066, 38546, 18, 510, 5890, 48345, 281, 28844, 334, 1451, 15194, 309, 2089, 6266, 18, 34231, 16, 24859, 520, 481, 6441, 18, 999, 2540, 343, 12031, 18, 1178, 3984, 475, 4927, 10285, 16, 502, 3684, 16, 6441, 11585, 861, 1224, 1916, 19405, 520, 1333, 1011, 4116, 5070, 434, 35968, 35, 510, 8269, 16, 1333, 8162, 18, 981, 16, 20925, 1175, 1494, 11531, 3645, 33044, 16, 14377, 416, 4466, 18, 740, 656, 16 ]
[ 428, 1109, 9680, 16, 3984, 6281, 34016, 8753, 1134, 16, 2391, 2125, 2286, 874, 15983, 1954, 18, 3923, 16, 24724, 17442, 16, 515, 475, 282, 41499, 4190, 18, 3510, 282, 28604, 23054, 939, 1269, 18319, 291, 16, 5251, 609, 16, 13328, 291, 16, 1279, 1639, 10412, 13761, 309, 6269, 18, 510, 985, 13517, 290, 970, 16, 374, 322, 2282, 15844, 282, 18823, 35, 510, 1598, 23519, 18, 1483, 14760, 2452, 289, 322, 3837, 1360, 16525, 18, 510, 1012, 3525, 14370, 2602, 35, 510, 2387, 16, 417, 475, 7750, 16, 2391, 322, 639, 5522, 29633, 18, 3647, 726, 4195, 811, 309, 9903, 18, 740, 41707, 3159, 14839, 18159, 49420, 18, 817, 3404, 784, 7059, 16, 360, 2024, 417, 322, 757, 10419, 510, 608, 1304, 2552, 445, 31326, 29591, 18, 15827, 6392, 1537, 10654, 1954, 281, 14311, 50166, 35, 510, 832, 939, 6392, 30, 475, 17, 2767, 29002, 273, 4966, 5702, 18, 439, 16632, 382, 2156, 9352, 3236, 16, 1548, 374, 282, 7342, 6977, 475, 16, 753, 8404, 428, 942, 6847, 27955, 13656, 18, 510, 1937, 20925, 43455, 5640, 7840, 16, 387, 15681, 3624, 309, 4296, 370, 10616, 47588, 18, 365, 828, 5869, 35, 510, 608, 703, 17311, 43988, 18, 824, 27741, 12546, 9473, 360, 17386, 523, 289, 5883, 6908, 309, 4296, 370, 10616, 47588, 18, 510, 889, 43988, 322, 30960, 1337, 23683, 35, 510, 2387, 18, 8269, 16, 475, 840, 9093, 18, 510, 985, 642, 6045, 9118, 6152, 2801, 779, 18, 35, 510, 3923, 16, 5425, 18908, 309, 29510, 43035, 18, 740, 519, 2801, 779, 764, 939, 3964, 18, 4320, 1381, 26236, 294, 9017, 1542, 864, 27304, 2959, 16, 294, 9017, 4027, 552, 18, 439, 1122, 1588, 16962, 309, 8884, 18, 15417, 915, 12954, 329, 12234, 718, 478, 563, 455, 36291, 1614, 332, 3583, 470, 3720, 3546, 7219, 1624, 4813, 309, 32239, 1728, 7586, 16, 9665, 282, 18823, 282, 21311, 26708, 18, 478, 4670, 2064, 282, 18823, 1494, 29387, 10242, 18, 889, 1494, 11723, 861, 1224, 6706, 808, 20864, 5815, 4966, 6096, 38546, 2693, 374, 17, 299, 10799, 35, 510, 30205, 1952, 7863, 4038, 1879, 16, 753, 656, 48345, 1251, 1807, 6152, 478, 287, 328, 766, 382, 470, 510, 1085, 2319, 840, 9373, 18, 6209, 484, 16, 11077, 42563, 453, 36356, 18, 1224, 1009, 826, 1374, 1624, 374, 2117, 7342, 840, 31216, 798, 18, 36780, 1288, 862, 520, 481, 309, 11979, 582, 510, 365, 6900, 1299, 475, 12362, 309, 7389, 781, 16, 367, 281, 20113, 24356, 536, 42594, 1229, 15192, 4110, 478, 287, 328, 766, 454, 861, 1268, 4754, 1166, 38814, 371, 12807, 464, 15277, 919, 16, 20228, 411, 14511, 10580, 18, 510, 42026, 639, 1763, 4475, 46234, 1451, 15194, 16, 2452, 27041, 282, 5344, 411, 12525, 478, 618, 1736, 47900, 9519, 510, 889, 575, 1223, 1472, 6450, 7434, 18, 629, 281, 2872, 1269, 986, 11347, 16, 289, 656, 14106, 808, 4923, 406, 18, 1787, 703, 322, 639, 13337, 3276, 41701, 1717, 2856, 1451, 15194, 18, 510, 365, 21555, 281, 421, 1885, 45340, 289, 15644, 2509, 387, 6991, 309, 7470, 1954, 519, 2742, 14452, 35, 510, 629, 322, 2060, 18, 3863, 1247, 2353, 4459, 1086, 5071, 14958, 18, 3510, 322, 417, 25607, 1451, 11444, 18, 510, 985, 1337, 282, 1451, 1414, 281, 421, 1885, 45340, 289, 15644, 2509, 35, 510, 21003, 448, 16, 21616, 26339, 8404, 18, 8269, 16, 3333, 7187, 373, 25953, 281, 2872, 16, 11543, 1617, 3402, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 7342, 1175, 334, 40730, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3161, 986, 2158, 329, 986, 41980, 1195, 8891, 406, 7403, 8676, 31324, 17, 27, 7703, 7150, 3600, 4262, 20748, 18, 7249, 309, 14440, 19082, 16, 3952, 1147, 7305, 5255, 3225, 30115, 6413, 282, 18248, 25421, 18, 6234, 3022, 8519, 282, 5901, 428, 1176, 411, 3322, 5108, 2466, 282, 11204, 14561, 15440, 18, 31224, 30, 40881, 8652, 4523, 20707, 289, 16440, 19625, 579, 1520, 451, 13099, 10601, 31324, 1409, 7703, 384, 6894, 27, 4039, 4238, 14595, 779, 16, 8278, 2822, 16356, 24422, 334, 29588, 768, 857, 510, 11537, 7170, 1528, 1251, 5971, 2880, 3334, 7754, 353, 18, 1787, 12470, 432, 11462, 481, 639, 5175, 309, 7569, 18, 478, 20659, 1285, 685, 4987, 309, 21603, 19924, 40365, 16, 510, 22985, 18351, 10601, 14249, 1034, 350, 268, 4261, 295, 788, 16, 5076, 309, 2083, 26369, 639, 13908, 779, 16, 1715, 2287, 411, 1639, 492, 986, 300, 309, 10601, 292, 1335, 22170, 510, 3783, 83, 14991, 45039, 18, 510, 889, 4243, 1715, 9847, 18, 832, 639, 4302, 18118, 861, 16577, 3703, 7130, 1011, 36272, 281, 10601, 7150, 3600, 4262, 2301, 38441, 382, 16357, 5270, 4995, 1195, 15265, 1573, 1685, 36904, 289, 2974, 2344, 34411, 18, 3863, 3022, 1559, 42155, 282, 3182, 6571, 14561, 15440, 510, 6413, 281, 5516, 2661, 749, 2095, 469, 47151, 626, 38778, 519, 2655, 416, 12792, 289, 19153, 41639, 18, 10334, 481, 4243, 309, 3084, 13179, 510, 7431, 1488, 4500, 18, 4995, 510, 30053, 5644, 3467, 7569, 668, 302, 7942, 293, 1396, 5133, 18, 365, 1500, 2083, 16, 785, 282, 18332, 35800, 17834, 49275, 7097, 16, 1034, 350, 268, 4261, 295, 788, 12400, 2158, 289, 3837, 8839, 4587, 6017, 16, 29211, 4490, 3247, 11462, 289, 18287, 445, 314, 616, 434, 15051, 18, 478, 4441, 639, 428, 567, 3304, 16, 453, 6054, 16, 374, 8433, 3341, 862, 48549, 360, 924, 16, 374, 11730, 16, 510, 22985, 1034, 350, 268, 4261, 295, 788, 2555, 986, 6396, 18, 510, 629, 8116, 5187, 16, 11326, 23397, 668, 24778, 16, 428, 813, 9678, 18, 459, 7846, 29777, 7305, 5255, 16, 374, 417, 7346, 1853, 6413, 861, 2901, 476, 1779, 309, 3709, 411, 7426, 33624, 18230, 22605, 22149, 1452, 7915, 3084, 7569, 6166, 70, 1095, 631, 3669, 910, 428, 492, 971, 505, 18701, 13, 289, 3837, 17282, 29021, 16, 43329, 7314, 1195, 5216, 2436, 3032, 10601, 18, 478, 630, 16, 7374, 18, 1735, 2650, 18, 2465, 6398, 910, 651, 4507, 20293, 282, 1500, 2083, 30, 478, 1358, 8181, 29900, 16, 515, 2917, 639, 2410, 29440, 289, 986, 804, 1269, 41796, 723, 6126, 7968, 364, 1500, 5809, 16, 374, 42972, 475, 808, 34777, 861, 1303, 16, 374, 282, 1500, 2083, 7750, 18351, 16, 510, 374, 6413, 282, 3084, 43205, 289, 505, 12533, 1381, 30115, 18, 4802, 4381, 2511, 1879, 1034, 350, 268, 4261, 295, 788, 289, 2992, 18351, 8653, 17, 16981, 7287, 747, 375, 5990, 293, 38073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 428, 1109, 9680, 16, 3984, 6281, 34016, 8753, 1134, 16, 2391, 2125, 2286, 874, 15983, 1954, 18, 3923, 16, 24724, 17442, 16, 515, 475, 282, 41499, 4190, 18, 3510, 282, 28604, 23054, 939, 1269, 18319, 291, 16, 5251, 609, 16, 13328, 291, 16, 1279, 1639, 10412, 13761, 309, 6269, 18, 510, 985, 13517, 290, 970, 16, 374, 322, 2282, 15844, 282, 18823, 35, 510, 1598, 23519, 18, 1483, 14760, 2452, 289, 322, 3837, 1360, 16525, 18, 510, 1012, 3525, 14370, 2602, 35, 510, 2387, 16, 417, 475, 7750, 16, 2391, 322, 639, 5522, 29633, 18, 3647, 726, 4195, 811, 309, 9903, 18, 740, 41707, 3159, 14839, 18159, 49420, 18, 817, 3404, 784, 7059, 16, 360, 2024, 417, 322, 757, 10419, 510, 608, 1304, 2552, 445, 31326, 29591, 18, 15827, 6392, 1537, 10654, 1954, 281, 14311, 50166, 35, 510, 832, 939, 6392, 30, 475, 17, 2767, 29002, 273, 4966, 5702, 18, 439, 16632, 382, 2156, 9352, 3236, 16, 1548, 374, 282, 7342, 6977, 475, 16, 753, 8404, 428, 942, 6847, 27955, 13656, 18, 510, 1937, 20925, 43455, 5640, 7840, 16, 387, 15681, 3624, 309, 4296, 370, 10616, 47588, 18, 365, 828, 5869, 35, 510, 608, 703, 17311, 43988, 18, 824, 27741, 12546, 9473, 360, 17386, 523, 289, 5883, 6908, 309, 4296, 370, 10616, 47588, 18, 510, 889, 43988, 322, 30960, 1337, 23683, 35, 510, 2387, 18, 8269, 16, 475, 840, 9093, 18, 510, 985, 642, 6045, 9118, 6152, 2801, 779, 18, 35, 510, 3923, 16, 5425, 18908, 309, 29510, 43035, 18, 740, 519, 2801, 779, 764, 939, 3964, 18, 4320, 1381, 26236, 294, 9017, 1542, 864, 27304, 2959, 16, 294, 9017, 4027, 552, 18, 439, 1122, 1588, 16962, 309, 8884, 18, 15417, 915, 12954, 329, 12234, 718, 478, 563, 455, 36291, 1614, 332, 3583, 470, 3720, 3546, 7219, 1624, 4813, 309, 32239, 1728, 7586, 16, 9665, 282, 18823, 282, 21311, 26708, 18, 478, 4670, 2064, 282, 18823, 1494, 29387, 10242, 18, 889, 1494, 11723, 861, 1224, 6706, 808, 20864, 5815, 4966, 6096, 38546, 2693, 374, 17, 299, 10799, 35, 510, 30205, 1952, 7863, 4038, 1879, 16, 753, 656, 48345, 1251, 1807, 6152, 478, 287, 328, 766, 382, 470, 510, 1085, 2319, 840, 9373, 18, 6209, 484, 16, 11077, 42563, 453, 36356, 18, 1224, 1009, 826, 1374, 1624, 374, 2117, 7342, 840, 31216, 798, 18, 36780, 1288, 862, 520, 481, 309, 11979, 582, 510, 365, 6900, 1299, 475, 12362, 309, 7389, 781, 16, 367, 281, 20113, 24356, 536, 42594, 1229, 15192, 4110, 478, 287, 328, 766, 454, 861, 1268, 4754, 1166, 38814, 371, 12807, 464, 15277, 919, 16, 20228, 411, 14511, 10580, 18, 510, 42026, 639, 1763, 4475, 46234, 1451, 15194, 16, 2452, 27041, 282, 5344, 411, 12525, 478, 618, 1736, 47900, 9519, 510, 889, 575, 1223, 1472, 6450, 7434, 18, 629, 281, 2872, 1269, 986, 11347, 16, 289, 656, 14106, 808, 4923, 406, 18, 1787, 703, 322, 639, 13337, 3276, 41701, 1717, 2856, 1451, 15194, 18, 510, 365, 21555, 281, 421, 1885, 45340, 289, 15644, 2509, 387, 6991, 309, 7470, 1954, 519, 2742, 14452, 35, 510, 629, 322, 2060, 18, 3863, 1247, 2353, 4459, 1086, 5071, 14958, 18, 3510, 322, 417, 25607, 1451, 11444, 18, 510, 985, 1337, 282, 1451, 1414, 281, 421, 1885, 45340, 289, 15644, 2509, 35, 510, 21003, 448, 16, 21616, 26339, 8404, 18, 8269, 16, 3333, 7187, 373, 25953, 281, 2872, 16, 11543, 1617, 3402, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 7342, 1175, 334, 40730, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3161, 986, 2158, 329, 986, 41980, 1195, 8891, 406, 7403, 8676, 31324, 17, 27, 7703, 7150, 3600, 4262, 20748, 18, 7249, 309, 14440, 19082, 16, 3952, 1147, 7305, 5255, 3225, 30115, 6413, 282, 18248, 25421, 18, 6234, 3022, 8519, 282, 5901, 428, 1176, 411, 3322, 5108, 2466, 282, 11204, 14561, 15440, 18, 31224, 30, 40881, 8652, 4523, 20707, 289, 16440, 19625, 579, 1520, 451, 13099, 10601, 31324, 1409, 7703, 384, 6894, 27, 4039, 4238, 14595, 779, 16, 8278, 2822, 16356, 24422, 334, 29588, 768, 857, 510, 11537, 7170, 1528, 1251, 5971, 2880, 3334, 7754, 353, 18, 1787, 12470, 432, 11462, 481, 639, 5175, 309, 7569, 18, 478, 20659, 1285, 685, 4987, 309, 21603, 19924, 40365, 16, 510, 22985, 18351, 10601, 14249, 1034, 350, 268, 4261, 295, 788, 16, 5076, 309, 2083, 26369, 639, 13908, 779, 16, 1715, 2287, 411, 1639, 492, 986, 300, 309, 10601, 292, 1335, 22170, 510, 3783, 83, 14991, 45039, 18, 510, 889, 4243, 1715, 9847, 18, 832, 639, 4302, 18118, 861, 16577, 3703, 7130, 1011, 36272, 281, 10601, 7150, 3600, 4262, 2301, 38441, 382, 16357, 5270, 4995, 1195, 15265, 1573, 1685, 36904, 289, 2974, 2344, 34411, 18, 3863, 3022, 1559, 42155, 282, 3182, 6571, 14561, 15440, 510, 6413, 281, 5516, 2661, 749, 2095, 469, 47151, 626, 38778, 519, 2655, 416, 12792, 289, 19153, 41639, 18, 10334, 481, 4243, 309, 3084, 13179, 510, 7431, 1488, 4500, 18, 4995, 510, 30053, 5644, 3467, 7569, 668, 302, 7942, 293, 1396, 5133, 18, 365, 1500, 2083, 16, 785, 282, 18332, 35800, 17834, 49275, 7097, 16, 1034, 350, 268, 4261, 295, 788, 12400, 2158, 289, 3837, 8839, 4587, 6017, 16, 29211, 4490, 3247, 11462, 289, 18287, 445, 314, 616, 434, 15051, 18, 478, 4441, 639, 428, 567, 3304, 16, 453, 6054, 16, 374, 8433, 3341, 862, 48549, 360, 924, 16, 374, 11730, 16, 510, 22985, 1034, 350, 268, 4261, 295, 788, 2555, 986, 6396, 18, 510, 629, 8116, 5187, 16, 11326, 23397, 668, 24778, 16, 428, 813, 9678, 18, 459, 7846, 29777, 7305, 5255, 16, 374, 417, 7346, 1853, 6413, 861, 2901, 476, 1779, 309, 3709, 411, 7426, 33624, 18230, 22605, 22149, 1452, 7915, 3084, 7569, 6166, 70, 1095, 631, 3669, 910, 428, 492, 971, 505, 18701, 13, 289, 3837, 17282, 29021, 16, 43329, 7314, 1195, 5216, 2436, 3032, 10601, 18, 478, 630, 16, 7374, 18, 1735, 2650, 18, 2465, 6398, 910, 651, 4507, 20293, 282, 1500, 2083, 30, 478, 1358, 8181, 29900, 16, 515, 2917, 639, 2410, 29440, 289, 986, 804, 1269, 41796, 723, 6126, 7968, 364, 1500, 5809, 16, 374, 42972, 475, 808, 34777, 861, 1303, 16, 374, 282, 1500, 2083, 7750, 18351, 16, 510, 374, 6413, 282, 3084, 43205, 289, 505, 12533, 1381, 30115, 18, 4802, 4381, 2511, 1879, 1034, 350, 268, 4261, 295, 788, 289, 2992, 18351, 8653, 17, 16981, 7287, 747, 375, 5990, 293, 38073 ]
[ 11249, 1741, 6413, 16, 309, 11336, 2024, 8926, 25787, 11462, 16, 294, 34886, 1941, 29216, 15789, 1241, 3910, 1528, 265, 18, 1782, 16, 1085, 14402, 349, 8728, 761, 10601, 16, 10188, 9112, 22312, 481, 428, 6505, 44251, 16, 1696, 371, 3835, 750, 757, 22876, 8107, 670, 4451, 20009, 821, 1458, 10601, 18, 47090, 16, 374, 282, 3198, 26369, 17706, 5684, 12662, 11462, 16, 322, 26008, 289, 749, 9994, 18, 365, 2083, 360, 5146, 38441, 382, 26031, 28649, 7097, 411, 10601, 38299, 857, 2411, 2848, 50218, 441, 476, 9760, 10082, 2143, 310, 526, 39747, 41123, 16, 1586, 282, 1177, 2083, 11890, 282, 8151, 24644, 18, 824, 3286, 12944, 11462, 16, 39747, 41123, 38299, 857, 1715, 9847, 16, 785, 678, 6666, 282, 11917, 2095, 469, 47151, 626, 18, 34889, 50218, 441, 476, 8561, 7356, 5335, 334, 4822, 13830, 635, 289, 12837, 309, 474, 749, 9134, 18, 34584, 1038, 12837, 309, 474, 289, 38086, 4134, 349, 28273, 31575, 44810, 16, 17782, 1450, 25918, 289, 30053, 18, 40822, 22044, 448, 14823, 16, 961, 1741, 11517, 42943, 10107, 16, 453, 289, 322, 14694, 294, 4094, 954, 537, 3992, 3994, 1027, 12908, 40953, 2203, 16, 537, 15952, 34304, 38441, 2300, 18, 478, 27717, 322, 46674, 16, 428, 492, 322, 20210, 811, 16, 510, 22985, 18309, 312, 36439, 1624, 282, 502, 808, 21719, 22170, 3783, 83, 14991, 45039, 18, 510, 20466, 16, 374, 31390, 35697, 6413, 16, 481, 3411, 382, 9005, 18, 7758, 40824, 322, 639, 18, 817, 322, 1943, 685, 2149, 1380, 15989, 861, 365, 7570, 7305, 3244, 322, 6745, 16, 374, 5577, 451, 590, 1896, 13223, 1894, 28179, 474, 10601, 16, 898, 34255, 318, 2852, 3411, 368, 289, 7519, 286, 24199, 16, 9658, 3137, 294, 44941, 3811, 10091, 16, 411, 17, 431, 1660, 492, 7490, 18, 1787, 18412, 9456, 371, 8728, 582, 9966, 5914, 5085, 45865, 1372, 2989, 28065, 15004, 18, 2046, 40473, 475, 3066, 3711, 281, 6245, 9594, 9456, 1715, 309, 5259, 4017, 19, 283, 510, 18351, 10519, 16, 374, 371, 14975, 9456, 6413, 49494, 8609, 400, 18, 1540, 14477, 1250, 26134, 16, 374, 322, 6276, 2283, 2232, 7360, 343, 34661, 18, 2046, 45730, 281, 4412, 639, 8297, 1569, 16, 374, 34661, 7451, 16, 289, 18351, 1559, 38486, 309, 28448, 18, 1415, 1117, 343, 7801, 8103, 16, 4813, 309, 502, 374, 6413, 16, 334, 3163, 26282, 16, 4296, 965, 16, 428, 309, 15178, 9116, 404, 18, 3688, 27630, 30053, 898, 45636, 334, 676, 26935, 18, 478, 4348, 43978, 1512, 1143, 16, 828, 334, 6661, 282, 2059, 25624, 3599, 910, 510, 22985, 36439, 16, 1131, 16807, 1779, 282, 30672, 18, 6592, 6236, 272, 22212, 7067, 334, 3623, 309, 26402, 16, 3103, 11462, 5684, 14440, 17706, 18, 478, 49165, 7165, 5581, 906, 541, 1710, 8429, 910, 510, 22985, 18351, 3994, 2848, 50218, 441, 476, 9760, 18, 824, 505, 3163, 16, 678, 906, 939, 47188, 289, 371, 803, 3453, 47321, 411, 50218, 441, 476, 1265, 510, 3857, 32611, 41158, 290, 5941, 26697, 2159, 1756, 1011, 10326, 9722, 18, 824, 3163, 2059, 411, 2170, 2543, 16, 1450, 481, 4176, 435, 1805, 18, 7758, 4705, 4776, 6396, 41139, 26058, 11540, 281, 13347, 1703, 45381, 31324, 1409, 9247, 16, 10212, 512, 1757, 334, 29588, 11537, 7170, 1528, 510, 10411, 845, 18, 365, 40249, 329, 1047, 8740, 3645, 2979, 282, 40402, 2095, 16, 13412, 1660, 9100, 10384, 11462, 16, 10212, 29314, 411, 24644, 1974, 281, 4949, 6425, 18, 4794, 1871, 19524, 21073, 16775, 2891, 14446, 2904, 309, 11273, 19208, 16, 2548, 15330, 9300, 1496, 16, 8851, 18351, 16, 12987, 334, 14561, 15440, 18, 29609, 360, 5146, 38441, 382, 309, 4315, 409, 3436, 23, 2438, 12697, 39105, 16, 1586, 16808, 332, 6736, 708, 6788, 368, 16, 5757, 806, 973, 1871, 2095, 469, 47151, 626, 18, 6373, 411, 5516, 1020, 10188, 10703, 18629, 7768, 16, 374, 6378, 959, 20152, 16, 515, 6554, 322, 37662, 381, 803, 18, 4802, 10292, 6498, 294, 14728, 16, 374, 48208, 4369, 6915, 8739, 371, 6565, 2244, 15038, 309, 4421, 9586, 7126, 4451, 8895, 18, 640, 2083, 26369, 667, 17, 7745, 15325, 1458, 25165, 1715, 6374, 4500, 18, 18457, 1388, 13099, 17, 9129, 1117, 343, 289, 685, 16865, 334, 2856, 11808, 344, 2496, 1223, 16572, 31324, 17, 27, 7703, 282, 2968, 18, 9967, 1011, 26369, 48208, 6015, 455, 289, 22102, 848, 6406, 12460, 1779, 16, 367, 1038, 1272, 1888, 11798, 47402, 18, 365, 10507, 1045, 14249, 1034, 350, 268, 4261, 295, 788, 13875, 1263, 294, 31324, 334, 5083, 12674, 2198, 10421, 2009, 39938, 16, 1655, 8846, 16, 374, 1263, 685, 16207, 1390, 282, 5072, 48236, 547, 4666, 18, 7409, 18351, 5990, 293, 38073, 23188, 23322, 289, 10188, 2756, 24988, 282, 22170, 32375, 7463, 2034, 45039, 18, 2263, 1034, 350, 268, 4261, 295, 788, 986, 300, 519, 6982, 779, 289, 15492, 811, 411, 22170, 3783, 83, 14991, 45039, 349, 1421, 779, 519, 924, 16, 428, 678, 19327, 17183, 18, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 8123, 46332, 2153, 22141, 11944, 371, 14938, 46390, 18160, 18, 18181, 484, 9025, 2846, 4999, 46190, 510, 20065, 16, 45754, 16, 31974, 289, 17190, 18, 1268, 2923, 20264, 14075, 840, 24960, 16, 1085, 4444, 286, 349, 13290, 289, 30623, 1066, 688, 563, 18, 985, 4266, 16188, 35216, 16, 481, 8350, 6847, 44645, 281, 688, 563, 289, 49925, 16, 1085, 14658, 16, 827, 9936, 12599, 322, 3225, 18, 31224, 30, 39007, 6087, 2975, 16, 590, 19228, 282, 39309, 282, 2343, 13519, 5576, 16, 20165, 1817, 43579, 282, 1568, 478, 630, 13441, 4186, 289, 17070, 360, 46390, 21584, 29479, 289, 3060, 317, 2198, 9766, 861, 2320, 16188, 510, 4786, 11630, 17, 32402, 648, 1015, 1624, 282, 970, 2875, 9541, 17, 436, 931, 320, 17281, 16040, 11919, 23246, 33073, 401, 289, 2615, 46984, 7920, 334, 3623, 6070, 5000, 21169, 523, 18, 1681, 688, 563, 14022, 3236, 282, 4698, 3678, 3157, 448, 1469, 12646, 18, 478, 1140, 19015, 7294, 4479, 655, 12393, 925, 37895, 761, 12526, 8389, 35216, 910, 510, 4266, 16872, 18, 48055, 1453, 5842, 7272, 3147, 942, 3836, 478, 960, 8384, 281, 8569, 36132, 16, 24824, 758, 37956, 353, 16, 21256, 43473, 470, 289, 371, 18531, 697, 16959, 18, 365, 4437, 27299, 49800, 16188, 6325, 29039, 309, 10064, 11897, 14128, 2926, 46190, 309, 14075, 16349, 688, 563, 18, 38142, 622, 10949, 2559, 16, 3143, 4486, 371, 10339, 8292, 309, 8169, 448, 4096, 541, 6198, 4186, 16, 478, 324, 293, 8703, 516, 5917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11249, 1741, 6413, 16, 309, 11336, 2024, 8926, 25787, 11462, 16, 294, 34886, 1941, 29216, 15789, 1241, 3910, 1528, 265, 18, 1782, 16, 1085, 14402, 349, 8728, 761, 10601, 16, 10188, 9112, 22312, 481, 428, 6505, 44251, 16, 1696, 371, 3835, 750, 757, 22876, 8107, 670, 4451, 20009, 821, 1458, 10601, 18, 47090, 16, 374, 282, 3198, 26369, 17706, 5684, 12662, 11462, 16, 322, 26008, 289, 749, 9994, 18, 365, 2083, 360, 5146, 38441, 382, 26031, 28649, 7097, 411, 10601, 38299, 857, 2411, 2848, 50218, 441, 476, 9760, 10082, 2143, 310, 526, 39747, 41123, 16, 1586, 282, 1177, 2083, 11890, 282, 8151, 24644, 18, 824, 3286, 12944, 11462, 16, 39747, 41123, 38299, 857, 1715, 9847, 16, 785, 678, 6666, 282, 11917, 2095, 469, 47151, 626, 18, 34889, 50218, 441, 476, 8561, 7356, 5335, 334, 4822, 13830, 635, 289, 12837, 309, 474, 749, 9134, 18, 34584, 1038, 12837, 309, 474, 289, 38086, 4134, 349, 28273, 31575, 44810, 16, 17782, 1450, 25918, 289, 30053, 18, 40822, 22044, 448, 14823, 16, 961, 1741, 11517, 42943, 10107, 16, 453, 289, 322, 14694, 294, 4094, 954, 537, 3992, 3994, 1027, 12908, 40953, 2203, 16, 537, 15952, 34304, 38441, 2300, 18, 478, 27717, 322, 46674, 16, 428, 492, 322, 20210, 811, 16, 510, 22985, 18309, 312, 36439, 1624, 282, 502, 808, 21719, 22170, 3783, 83, 14991, 45039, 18, 510, 20466, 16, 374, 31390, 35697, 6413, 16, 481, 3411, 382, 9005, 18, 7758, 40824, 322, 639, 18, 817, 322, 1943, 685, 2149, 1380, 15989, 861, 365, 7570, 7305, 3244, 322, 6745, 16, 374, 5577, 451, 590, 1896, 13223, 1894, 28179, 474, 10601, 16, 898, 34255, 318, 2852, 3411, 368, 289, 7519, 286, 24199, 16, 9658, 3137, 294, 44941, 3811, 10091, 16, 411, 17, 431, 1660, 492, 7490, 18, 1787, 18412, 9456, 371, 8728, 582, 9966, 5914, 5085, 45865, 1372, 2989, 28065, 15004, 18, 2046, 40473, 475, 3066, 3711, 281, 6245, 9594, 9456, 1715, 309, 5259, 4017, 19, 283, 510, 18351, 10519, 16, 374, 371, 14975, 9456, 6413, 49494, 8609, 400, 18, 1540, 14477, 1250, 26134, 16, 374, 322, 6276, 2283, 2232, 7360, 343, 34661, 18, 2046, 45730, 281, 4412, 639, 8297, 1569, 16, 374, 34661, 7451, 16, 289, 18351, 1559, 38486, 309, 28448, 18, 1415, 1117, 343, 7801, 8103, 16, 4813, 309, 502, 374, 6413, 16, 334, 3163, 26282, 16, 4296, 965, 16, 428, 309, 15178, 9116, 404, 18, 3688, 27630, 30053, 898, 45636, 334, 676, 26935, 18, 478, 4348, 43978, 1512, 1143, 16, 828, 334, 6661, 282, 2059, 25624, 3599, 910, 510, 22985, 36439, 16, 1131, 16807, 1779, 282, 30672, 18, 6592, 6236, 272, 22212, 7067, 334, 3623, 309, 26402, 16, 3103, 11462, 5684, 14440, 17706, 18, 478, 49165, 7165, 5581, 906, 541, 1710, 8429, 910, 510, 22985, 18351, 3994, 2848, 50218, 441, 476, 9760, 18, 824, 505, 3163, 16, 678, 906, 939, 47188, 289, 371, 803, 3453, 47321, 411, 50218, 441, 476, 1265, 510, 3857, 32611, 41158, 290, 5941, 26697, 2159, 1756, 1011, 10326, 9722, 18, 824, 3163, 2059, 411, 2170, 2543, 16, 1450, 481, 4176, 435, 1805, 18, 7758, 4705, 4776, 6396, 41139, 26058, 11540, 281, 13347, 1703, 45381, 31324, 1409, 9247, 16, 10212, 512, 1757, 334, 29588, 11537, 7170, 1528, 510, 10411, 845, 18, 365, 40249, 329, 1047, 8740, 3645, 2979, 282, 40402, 2095, 16, 13412, 1660, 9100, 10384, 11462, 16, 10212, 29314, 411, 24644, 1974, 281, 4949, 6425, 18, 4794, 1871, 19524, 21073, 16775, 2891, 14446, 2904, 309, 11273, 19208, 16, 2548, 15330, 9300, 1496, 16, 8851, 18351, 16, 12987, 334, 14561, 15440, 18, 29609, 360, 5146, 38441, 382, 309, 4315, 409, 3436, 23, 2438, 12697, 39105, 16, 1586, 16808, 332, 6736, 708, 6788, 368, 16, 5757, 806, 973, 1871, 2095, 469, 47151, 626, 18, 6373, 411, 5516, 1020, 10188, 10703, 18629, 7768, 16, 374, 6378, 959, 20152, 16, 515, 6554, 322, 37662, 381, 803, 18, 4802, 10292, 6498, 294, 14728, 16, 374, 48208, 4369, 6915, 8739, 371, 6565, 2244, 15038, 309, 4421, 9586, 7126, 4451, 8895, 18, 640, 2083, 26369, 667, 17, 7745, 15325, 1458, 25165, 1715, 6374, 4500, 18, 18457, 1388, 13099, 17, 9129, 1117, 343, 289, 685, 16865, 334, 2856, 11808, 344, 2496, 1223, 16572, 31324, 17, 27, 7703, 282, 2968, 18, 9967, 1011, 26369, 48208, 6015, 455, 289, 22102, 848, 6406, 12460, 1779, 16, 367, 1038, 1272, 1888, 11798, 47402, 18, 365, 10507, 1045, 14249, 1034, 350, 268, 4261, 295, 788, 13875, 1263, 294, 31324, 334, 5083, 12674, 2198, 10421, 2009, 39938, 16, 1655, 8846, 16, 374, 1263, 685, 16207, 1390, 282, 5072, 48236, 547, 4666, 18, 7409, 18351, 5990, 293, 38073, 23188, 23322, 289, 10188, 2756, 24988, 282, 22170, 32375, 7463, 2034, 45039, 18, 2263, 1034, 350, 268, 4261, 295, 788, 986, 300, 519, 6982, 779, 289, 15492, 811, 411, 22170, 3783, 83, 14991, 45039, 349, 1421, 779, 519, 924, 16, 428, 678, 19327, 17183, 18, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 8123, 46332, 2153, 22141, 11944, 371, 14938, 46390, 18160, 18, 18181, 484, 9025, 2846, 4999, 46190, 510, 20065, 16, 45754, 16, 31974, 289, 17190, 18, 1268, 2923, 20264, 14075, 840, 24960, 16, 1085, 4444, 286, 349, 13290, 289, 30623, 1066, 688, 563, 18, 985, 4266, 16188, 35216, 16, 481, 8350, 6847, 44645, 281, 688, 563, 289, 49925, 16, 1085, 14658, 16, 827, 9936, 12599, 322, 3225, 18, 31224, 30, 39007, 6087, 2975, 16, 590, 19228, 282, 39309, 282, 2343, 13519, 5576, 16, 20165, 1817, 43579, 282, 1568, 478, 630, 13441, 4186, 289, 17070, 360, 46390, 21584, 29479, 289, 3060, 317, 2198, 9766, 861, 2320, 16188, 510, 4786, 11630, 17, 32402, 648, 1015, 1624, 282, 970, 2875, 9541, 17, 436, 931, 320, 17281, 16040, 11919, 23246, 33073, 401, 289, 2615, 46984, 7920, 334, 3623, 6070, 5000, 21169, 523, 18, 1681, 688, 563, 14022, 3236, 282, 4698, 3678, 3157, 448, 1469, 12646, 18, 478, 1140, 19015, 7294, 4479, 655, 12393, 925, 37895, 761, 12526, 8389, 35216, 910, 510, 4266, 16872, 18, 48055, 1453, 5842, 7272, 3147, 942, 3836, 478, 960, 8384, 281, 8569, 36132, 16, 24824, 758, 37956, 353, 16, 21256, 43473, 470, 289, 371, 18531, 697, 16959, 18, 365, 4437, 27299, 49800, 16188, 6325, 29039, 309, 10064, 11897, 14128, 2926, 46190, 309, 14075, 16349, 688, 563, 18, 38142, 622, 10949, 2559, 16, 3143, 4486, 371, 10339, 8292, 309, 8169, 448, 4096, 541, 6198, 4186, 16, 478, 324, 293, 8703, 516, 5917 ]
[ 360, 11903, 617, 27143, 14955, 6431, 1087, 275, 15392, 289, 10162, 20931, 16, 367, 1038, 25059, 30893, 282, 4126, 24727, 46390, 21584, 4186, 910, 13462, 282, 4437, 27299, 49800, 18, 2046, 16, 36842, 11919, 950, 16, 478, 4870, 11402, 4461, 3594, 282, 4190, 688, 563, 17182, 282, 10130, 5069, 366, 4543, 861, 478, 563, 2642, 4990, 6579, 46332, 1489, 19750, 723, 322, 4360, 10986, 46332, 2153, 14836, 44000, 6431, 16, 2391, 371, 47201, 688, 563, 697, 3193, 13037, 3929, 47184, 32600, 16, 2536, 12764, 3539, 5418, 18534, 34743, 910, 510, 10128, 282, 49800, 18, 365, 4675, 808, 6043, 4151, 6110, 2574, 17639, 5942, 4851, 567, 808, 688, 563, 7272, 281, 3230, 793, 4496, 23536, 16, 374, 18019, 3576, 7872, 46190, 309, 17019, 16, 9848, 478, 46088, 18, 8381, 470, 1176, 411, 12137, 6325, 16, 3203, 7920, 16934, 334, 3623, 6096, 11635, 272, 1736, 18, 478, 6889, 301, 7213, 8802, 639, 1269, 2574, 4766, 16, 3057, 639, 13860, 16, 1085, 11660, 4075, 16, 827, 40193, 8911, 282, 1949, 24213, 17347, 16, 510, 1109, 492, 18, 510, 11066, 19048, 5695, 2103, 5970, 2990, 7099, 4075, 289, 11558, 349, 1129, 18, 1606, 1747, 3118, 5007, 318, 16, 749, 14043, 382, 309, 3230, 793, 1687, 9770, 861, 48055, 1453, 4407, 2389, 26119, 10663, 1867, 25780, 3437, 43695, 28829, 6431, 3594, 289, 1333, 16866, 336, 858, 285, 8227, 24727, 289, 18531, 688, 563, 30, 481, 3672, 29185, 3416, 16, 23001, 16115, 289, 8169, 416, 4096, 18, 2227, 547, 262, 6064, 334, 5816, 954, 10342, 3416, 16872, 15032, 603, 10588, 309, 9597, 2891, 16, 282, 970, 2875, 35034, 16479, 1070, 18, 2949, 924, 16, 32352, 2846, 4999, 46190, 309, 688, 563, 30, 20065, 16, 45754, 16, 31974, 289, 17190, 18, 1268, 2923, 20264, 14075, 840, 24960, 16, 1085, 4444, 286, 349, 13290, 289, 30623, 1066, 688, 563, 18, 478, 6161, 8107, 282, 11683, 2059, 10632, 16, 502, 481, 20065, 5040, 289, 5037, 13854, 583, 18145, 16, 1851, 3672, 688, 563, 1381, 29373, 289, 2710, 7272, 3623, 46325, 16, 510, 41988, 11635, 272, 1736, 18, 510, 1178, 8107, 474, 4955, 305, 309, 2923, 1949, 36135, 16, 502, 9770, 14493, 309, 965, 5037, 3700, 18, 1937, 688, 563, 33087, 1272, 289, 1033, 3700, 16, 502, 481, 726, 45754, 5040, 46190, 510, 6730, 424, 1595, 6457, 289, 9770, 14493, 5037, 5791, 18, 439, 827, 40193, 1871, 1767, 16, 502, 5040, 46190, 8503, 42152, 510, 282, 803, 1750, 475, 4075, 11660, 7064, 861, 41917, 295, 5040, 46190, 24385, 16, 785, 3672, 688, 563, 9728, 282, 4335, 24669, 2662, 2407, 670, 575, 785, 912, 20889, 2923, 24213, 10263, 18, 3529, 9770, 11660, 309, 965, 4770, 2553, 18, 33671, 36842, 16, 374, 541, 43695, 289, 25082, 840, 6065, 17597, 13840, 2559, 8274, 3623, 4186, 18, 365, 2875, 2567, 2559, 29853, 12717, 1512, 289, 44247, 15744, 309, 9482, 16, 988, 5092, 20889, 16349, 688, 563, 16, 4951, 7543, 3271, 40438, 32623, 10931, 16, 3235, 7904, 37215, 38043, 16, 8225, 18984, 4076, 16, 4076, 2630, 289, 4758, 11244, 6431, 2891, 289, 7257, 18, 967, 803, 3143, 4851, 7272, 322, 2125, 3953, 9654, 3018, 289, 8124, 1631, 16, 30937, 4958, 2873, 18, 2949, 924, 16, 22083, 4751, 2990, 29373, 3672, 23001, 16115, 289, 3672, 688, 563, 2103, 5970, 7257, 16, 309, 2923, 1639, 895, 22876, 20889, 688, 563, 16, 515, 687, 478, 275, 16901, 6160, 861, 365, 4700, 1717, 16, 16872, 322, 29039, 18, 478, 8756, 4642, 2328, 10711, 8967, 2879, 4417, 3010, 5348, 567, 808, 688, 563, 30, 1500, 575, 3010, 30672, 912, 8856, 16, 510, 12016, 11635, 272, 1736, 18, 510, 6592, 11755, 508, 552, 16, 19633, 7257, 1747, 25840, 3672, 276, 46190, 16, 3029, 2102, 12130, 904, 334, 18531, 688, 563, 16, 367, 1038, 7099, 4075, 290, 36665, 4095, 2559, 3623, 541, 6814, 861, 36424, 22141, 16, 19516, 289, 6677, 7257, 1747, 17624, 8341, 18, 48011, 32629, 16, 374, 14575, 6439, 16, 43761, 281, 2753, 979, 1562, 16, 18191, 1587, 349, 25388, 2559, 334, 27469, 3623, 18, 18181, 4851, 26119, 23871, 360, 38994, 16, 1085, 309, 6595, 10649, 322, 25165, 1617, 10722, 18, 478, 6161, 322, 898, 32994, 548, 9980, 7272, 3623, 16, 502, 28485, 1562, 942, 840, 14033, 349, 23723, 622, 910, 510, 5692, 11635, 272, 1736, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2968, 37086, 3623, 4243, 50138, 2837, 13865, 30, 4424, 7352, 26332, 411, 11612, 9621, 1154, 50022, 18001, 334, 7475, 20144, 8424, 9289, 1059, 14592, 52, 18, 21561, 8460, 282, 901, 301, 17, 464, 843, 3619, 580, 1204, 336, 13426, 17, 34122, 6607, 514, 1410, 816, 18, 365, 9289, 1059, 14592, 52, 48484, 16, 374, 5554, 3619, 4116, 15088, 18001, 322, 281, 6525, 16, 367, 16, 7415, 16, 281, 6097, 19802, 304, 360, 24411, 18, 30491, 6607, 514, 1410, 4419, 1576, 35697, 290, 1634, 43970, 432, 18979, 6152, 7043, 5538, 16, 961, 16, 334, 3025, 19175, 16, 9707, 35542, 21657, 28697, 18, 31224, 30, 13762, 4174, 1162, 16477, 334, 18980, 4999, 3623, 3741, 8974, 40623, 7005, 3741, 901, 301, 17, 42989, 8974, 16, 46421, 541, 28397, 7043, 18, 9928, 18341, 898, 5491, 318, 1272, 7994, 510, 18839, 266, 275, 2817, 1802, 1831, 769, 38328, 87, 4090, 11358, 289, 580, 1204, 336, 13426, 17, 34122, 6607, 514, 1410, 816, 18, 13630, 7994, 5684, 50022, 18001, 3320, 282, 2852, 8460, 18, 8276, 13842, 2438, 502, 21996, 16, 374, 6607, 514, 1410, 816, 1559, 5216, 6081, 1703, 32720, 16, 1881, 5583, 18210, 9289, 1059, 14592, 52, 18, 24712, 24810, 309, 4676, 29205, 16, 42395, 6446, 7923, 6607, 514, 1410, 281, 25788, 16, 374, 2805, 29230, 2651, 39118, 9332, 4480, 2632, 7994, 16, 961, 898, 309, 465, 548, 322, 687, 282, 15770, 16, 515, 1038, 282, 7044, 289, 2145, 18, 365, 4810, 16, 25289, 19213, 4621, 26471, 48034, 48544, 476, 6896, 280, 16, 4419, 31891, 1779, 14342, 1880, 28010, 8934, 860, 16961, 45, 18, 4756, 3818, 13003, 16511, 27613, 4621, 282, 518, 11594, 9289, 1059, 14592, 52, 2458, 2846, 10689, 329, 9881, 4499, 16469, 75, 9042, 1302, 39, 27, 289, 860, 43, 26, 282, 5491, 6585, 4440, 779, 18, 2667, 978, 6175, 13290, 29802, 5642, 906, 34156, 541, 11361, 3562, 18, 5592, 4934, 23680, 282, 1175, 3619, 901, 301, 17, 464, 285, 580, 13870, 769, 1308, 93, 10530, 89, 8816, 1624, 2454, 1545, 5574, 1525, 478, 46041, 270, 259, 512, 306, 470, 334, 3447, 7805, 9289, 1059, 14592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 360, 11903, 617, 27143, 14955, 6431, 1087, 275, 15392, 289, 10162, 20931, 16, 367, 1038, 25059, 30893, 282, 4126, 24727, 46390, 21584, 4186, 910, 13462, 282, 4437, 27299, 49800, 18, 2046, 16, 36842, 11919, 950, 16, 478, 4870, 11402, 4461, 3594, 282, 4190, 688, 563, 17182, 282, 10130, 5069, 366, 4543, 861, 478, 563, 2642, 4990, 6579, 46332, 1489, 19750, 723, 322, 4360, 10986, 46332, 2153, 14836, 44000, 6431, 16, 2391, 371, 47201, 688, 563, 697, 3193, 13037, 3929, 47184, 32600, 16, 2536, 12764, 3539, 5418, 18534, 34743, 910, 510, 10128, 282, 49800, 18, 365, 4675, 808, 6043, 4151, 6110, 2574, 17639, 5942, 4851, 567, 808, 688, 563, 7272, 281, 3230, 793, 4496, 23536, 16, 374, 18019, 3576, 7872, 46190, 309, 17019, 16, 9848, 478, 46088, 18, 8381, 470, 1176, 411, 12137, 6325, 16, 3203, 7920, 16934, 334, 3623, 6096, 11635, 272, 1736, 18, 478, 6889, 301, 7213, 8802, 639, 1269, 2574, 4766, 16, 3057, 639, 13860, 16, 1085, 11660, 4075, 16, 827, 40193, 8911, 282, 1949, 24213, 17347, 16, 510, 1109, 492, 18, 510, 11066, 19048, 5695, 2103, 5970, 2990, 7099, 4075, 289, 11558, 349, 1129, 18, 1606, 1747, 3118, 5007, 318, 16, 749, 14043, 382, 309, 3230, 793, 1687, 9770, 861, 48055, 1453, 4407, 2389, 26119, 10663, 1867, 25780, 3437, 43695, 28829, 6431, 3594, 289, 1333, 16866, 336, 858, 285, 8227, 24727, 289, 18531, 688, 563, 30, 481, 3672, 29185, 3416, 16, 23001, 16115, 289, 8169, 416, 4096, 18, 2227, 547, 262, 6064, 334, 5816, 954, 10342, 3416, 16872, 15032, 603, 10588, 309, 9597, 2891, 16, 282, 970, 2875, 35034, 16479, 1070, 18, 2949, 924, 16, 32352, 2846, 4999, 46190, 309, 688, 563, 30, 20065, 16, 45754, 16, 31974, 289, 17190, 18, 1268, 2923, 20264, 14075, 840, 24960, 16, 1085, 4444, 286, 349, 13290, 289, 30623, 1066, 688, 563, 18, 478, 6161, 8107, 282, 11683, 2059, 10632, 16, 502, 481, 20065, 5040, 289, 5037, 13854, 583, 18145, 16, 1851, 3672, 688, 563, 1381, 29373, 289, 2710, 7272, 3623, 46325, 16, 510, 41988, 11635, 272, 1736, 18, 510, 1178, 8107, 474, 4955, 305, 309, 2923, 1949, 36135, 16, 502, 9770, 14493, 309, 965, 5037, 3700, 18, 1937, 688, 563, 33087, 1272, 289, 1033, 3700, 16, 502, 481, 726, 45754, 5040, 46190, 510, 6730, 424, 1595, 6457, 289, 9770, 14493, 5037, 5791, 18, 439, 827, 40193, 1871, 1767, 16, 502, 5040, 46190, 8503, 42152, 510, 282, 803, 1750, 475, 4075, 11660, 7064, 861, 41917, 295, 5040, 46190, 24385, 16, 785, 3672, 688, 563, 9728, 282, 4335, 24669, 2662, 2407, 670, 575, 785, 912, 20889, 2923, 24213, 10263, 18, 3529, 9770, 11660, 309, 965, 4770, 2553, 18, 33671, 36842, 16, 374, 541, 43695, 289, 25082, 840, 6065, 17597, 13840, 2559, 8274, 3623, 4186, 18, 365, 2875, 2567, 2559, 29853, 12717, 1512, 289, 44247, 15744, 309, 9482, 16, 988, 5092, 20889, 16349, 688, 563, 16, 4951, 7543, 3271, 40438, 32623, 10931, 16, 3235, 7904, 37215, 38043, 16, 8225, 18984, 4076, 16, 4076, 2630, 289, 4758, 11244, 6431, 2891, 289, 7257, 18, 967, 803, 3143, 4851, 7272, 322, 2125, 3953, 9654, 3018, 289, 8124, 1631, 16, 30937, 4958, 2873, 18, 2949, 924, 16, 22083, 4751, 2990, 29373, 3672, 23001, 16115, 289, 3672, 688, 563, 2103, 5970, 7257, 16, 309, 2923, 1639, 895, 22876, 20889, 688, 563, 16, 515, 687, 478, 275, 16901, 6160, 861, 365, 4700, 1717, 16, 16872, 322, 29039, 18, 478, 8756, 4642, 2328, 10711, 8967, 2879, 4417, 3010, 5348, 567, 808, 688, 563, 30, 1500, 575, 3010, 30672, 912, 8856, 16, 510, 12016, 11635, 272, 1736, 18, 510, 6592, 11755, 508, 552, 16, 19633, 7257, 1747, 25840, 3672, 276, 46190, 16, 3029, 2102, 12130, 904, 334, 18531, 688, 563, 16, 367, 1038, 7099, 4075, 290, 36665, 4095, 2559, 3623, 541, 6814, 861, 36424, 22141, 16, 19516, 289, 6677, 7257, 1747, 17624, 8341, 18, 48011, 32629, 16, 374, 14575, 6439, 16, 43761, 281, 2753, 979, 1562, 16, 18191, 1587, 349, 25388, 2559, 334, 27469, 3623, 18, 18181, 4851, 26119, 23871, 360, 38994, 16, 1085, 309, 6595, 10649, 322, 25165, 1617, 10722, 18, 478, 6161, 322, 898, 32994, 548, 9980, 7272, 3623, 16, 502, 28485, 1562, 942, 840, 14033, 349, 23723, 622, 910, 510, 5692, 11635, 272, 1736, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2968, 37086, 3623, 4243, 50138, 2837, 13865, 30, 4424, 7352, 26332, 411, 11612, 9621, 1154, 50022, 18001, 334, 7475, 20144, 8424, 9289, 1059, 14592, 52, 18, 21561, 8460, 282, 901, 301, 17, 464, 843, 3619, 580, 1204, 336, 13426, 17, 34122, 6607, 514, 1410, 816, 18, 365, 9289, 1059, 14592, 52, 48484, 16, 374, 5554, 3619, 4116, 15088, 18001, 322, 281, 6525, 16, 367, 16, 7415, 16, 281, 6097, 19802, 304, 360, 24411, 18, 30491, 6607, 514, 1410, 4419, 1576, 35697, 290, 1634, 43970, 432, 18979, 6152, 7043, 5538, 16, 961, 16, 334, 3025, 19175, 16, 9707, 35542, 21657, 28697, 18, 31224, 30, 13762, 4174, 1162, 16477, 334, 18980, 4999, 3623, 3741, 8974, 40623, 7005, 3741, 901, 301, 17, 42989, 8974, 16, 46421, 541, 28397, 7043, 18, 9928, 18341, 898, 5491, 318, 1272, 7994, 510, 18839, 266, 275, 2817, 1802, 1831, 769, 38328, 87, 4090, 11358, 289, 580, 1204, 336, 13426, 17, 34122, 6607, 514, 1410, 816, 18, 13630, 7994, 5684, 50022, 18001, 3320, 282, 2852, 8460, 18, 8276, 13842, 2438, 502, 21996, 16, 374, 6607, 514, 1410, 816, 1559, 5216, 6081, 1703, 32720, 16, 1881, 5583, 18210, 9289, 1059, 14592, 52, 18, 24712, 24810, 309, 4676, 29205, 16, 42395, 6446, 7923, 6607, 514, 1410, 281, 25788, 16, 374, 2805, 29230, 2651, 39118, 9332, 4480, 2632, 7994, 16, 961, 898, 309, 465, 548, 322, 687, 282, 15770, 16, 515, 1038, 282, 7044, 289, 2145, 18, 365, 4810, 16, 25289, 19213, 4621, 26471, 48034, 48544, 476, 6896, 280, 16, 4419, 31891, 1779, 14342, 1880, 28010, 8934, 860, 16961, 45, 18, 4756, 3818, 13003, 16511, 27613, 4621, 282, 518, 11594, 9289, 1059, 14592, 52, 2458, 2846, 10689, 329, 9881, 4499, 16469, 75, 9042, 1302, 39, 27, 289, 860, 43, 26, 282, 5491, 6585, 4440, 779, 18, 2667, 978, 6175, 13290, 29802, 5642, 906, 34156, 541, 11361, 3562, 18, 5592, 4934, 23680, 282, 1175, 3619, 901, 301, 17, 464, 285, 580, 13870, 769, 1308, 93, 10530, 89, 8816, 1624, 2454, 1545, 5574, 1525, 478, 46041, 270, 259, 512, 306, 470, 334, 3447, 7805, 9289, 1059, 14592 ]
[ 52, 18, 365, 4542, 34968, 9289, 1059, 14592, 52, 5554, 309, 9456, 282, 15593, 4017, 19, 283, 11715, 1867, 281, 26631, 304, 16, 2687, 2854, 4317, 9, 13803, 318, 26611, 2095, 4621, 18, 365, 4413, 518, 843, 744, 3974, 32295, 26631, 47724, 309, 9456, 282, 3610, 4017, 19, 283, 281, 3714, 291, 2344, 7994, 281, 10383, 680, 1963, 18, 365, 5491, 750, 16, 32461, 344, 11100, 40250, 5335, 290, 30884, 552, 25281, 16, 7352, 47724, 281, 36145, 33973, 9511, 309, 9456, 282, 4518, 4017, 19, 283, 18, 35157, 12928, 11462, 6607, 514, 1410, 816, 4217, 798, 282, 19779, 5999, 365, 1750, 281, 5516, 2661, 17, 2704, 353, 5040, 6198, 4896, 27182, 7418, 367, 371, 309, 4695, 309, 16675, 264, 510, 20391, 5999, 10468, 522, 40013, 617, 4621, 30029, 26349, 3623, 4217, 798, 282, 26746, 5999, 14069, 1453, 6607, 514, 1410, 816, 10874, 26515, 15298, 281, 33560, 6046, 4869, 3872, 18036, 282, 7044, 43820, 1180, 21764, 289, 39181, 17, 38, 29905, 776, 17, 24830, 3144, 18, 42636, 32720, 282, 41495, 18839, 712, 16, 1029, 3619, 10874, 3230, 16, 1559, 16229, 35640, 1902, 5041, 18, 3759, 4748, 14312, 16, 374, 13328, 778, 7547, 23766, 574, 2397, 22299, 2110, 3952, 282, 1767, 1440, 37086, 3623, 289, 20142, 37511, 2712, 965, 428, 2236, 411, 13764, 282, 1335, 6491, 18, 45241, 17, 8844, 38889, 6607, 514, 1410, 727, 380, 9058, 8833, 3602, 342, 14018, 2815, 16, 374, 13290, 8974, 2570, 2134, 291, 4068, 8934, 906, 39676, 5173, 281, 6175, 4626, 6607, 514, 1410, 18, 478, 4441, 6993, 26428, 49994, 924, 16, 374, 7180, 622, 3338, 8138, 541, 813, 6245, 466, 1223, 18, 3791, 481, 2548, 290, 36803, 4621, 281, 4947, 4611, 15545, 4068, 6446, 7923, 1810, 910, 510, 7332, 1694, 3609, 17, 503, 383, 16767, 10958, 21572, 1656, 559, 18, 42429, 400, 6965, 9289, 1059, 14592, 52, 18839, 266, 275, 2817, 1802, 1831, 769, 38328, 87, 1038, 3619, 2852, 8460, 16, 515, 371, 1033, 1073, 4357, 33523, 5554, 3619, 1293, 1033, 29475, 10874, 16, 828, 6607, 514, 1410, 816, 18, 996, 16, 769, 38328, 87, 3619, 18001, 3623, 12928, 11462, 16, 3077, 668, 31932, 7418, 541, 2533, 510, 21547, 7418, 367, 541, 11462, 510, 15593, 5999, 33084, 40013, 617, 30029, 26349, 3623, 329, 769, 38328, 87, 4217, 286, 282, 26746, 5999, 41651, 16, 374, 1802, 1831, 289, 6607, 514, 1410, 4419, 2558, 538, 1595, 13013, 6152, 12917, 309, 4789, 1212, 5814, 519, 5129, 18, 1303, 1743, 282, 970, 16, 374, 48015, 778, 580, 1204, 1802, 1831, 13494, 3499, 15776, 514, 550, 16, 1056, 6222, 539, 5316, 1433, 27613, 8934, 18, 640, 22993, 1802, 1831, 7063, 7291, 1802, 29, 16, 515, 541, 18836, 432, 32226, 8425, 5267, 15776, 514, 550, 18, 365, 15614, 20545, 1551, 7007, 309, 2580, 6607, 514, 1410, 289, 17602, 360, 1802, 1831, 17899, 1595, 48015, 778, 580, 1204, 282, 7044, 424, 7848, 1802, 29, 18, 2263, 29004, 6607, 514, 1410, 5092, 281, 5653, 779, 18, 8444, 6048, 1807, 41779, 14591, 32137, 7547, 801, 1709, 354, 769, 1308, 93, 289, 14647, 680, 2241, 27000, 33231, 18, 27401, 1809, 5173, 6607, 514, 1410, 639, 23403, 49254, 8974, 309, 8275, 5538, 289, 1120, 6301, 16830, 19226, 18828, 7043, 1335, 2095, 5839, 16, 988, 20142, 23800, 12945, 32830, 620, 18, 23710, 467, 6607, 514, 1410, 12665, 309, 4347, 11942, 913, 282, 49650, 282, 11500, 3734, 779, 16, 988, 40562, 22644, 18839, 6945, 580, 1204, 6607, 514, 1410, 816, 16, 505, 16154, 282, 25300, 263, 478, 272, 11565, 300, 470, 289, 18839, 6945, 22615, 9049, 35865, 28646, 70, 8441, 18, 1303, 32479, 4621, 30244, 309, 2059, 29205, 18, 365, 3106, 18112, 20498, 354, 309, 6607, 514, 1410, 816, 8425, 430, 16, 26, 17, 5700, 23079, 19805, 1742, 16604, 510, 541, 11497, 427, 5538, 16, 988, 282, 920, 781, 3164, 39258, 16, 3260, 3215, 17837, 18, 3557, 322, 2619, 282, 2241, 16144, 16, 374, 6029, 309, 478, 1079, 9500, 304, 3609, 326, 546, 470, 764, 895, 19111, 16, 475, 5917, 360, 22506, 18, 403, 648, 9049, 35865, 28646, 70, 8441, 16, 282, 1423, 3678, 16, 15123, 39406, 668, 1333, 7576, 26055, 16, 1541, 8751, 411, 33118, 2506, 346, 39126, 30649, 430, 16, 22, 359, 289, 2999, 509, 17, 265, 356, 432, 25945, 18, 365, 11130, 3734, 779, 7190, 6607, 514, 1410, 12002, 290, 38508, 28194, 282, 12922, 582, 2241, 764, 2236, 29141, 665, 289, 20122, 580, 13870, 18, 16375, 675, 6607, 514, 1410, 282, 7044, 38348, 281, 4755, 29336, 282, 518, 11594, 9289, 1059, 14592, 52, 580, 13870, 6607, 514, 1410, 816, 18, 24051, 347, 11411, 7072, 3164, 309, 2581, 582, 360, 2261, 4500, 18, 519, 1939, 4500, 18, 7307, 510, 34034, 43552, 360, 43820, 16, 34853, 863, 289, 29885, 37, 15484, 27515, 1050, 45447, 674, 534, 33638, 4364, 282, 803, 575, 2898, 12077, 31820, 18, 16102, 19297, 10241, 4040, 9248, 333, 746, 18, 365, 1750, 9792, 282, 17654, 7044, 40562, 14145, 2159, 23403, 309, 5814, 17370, 5538, 18, 365, 1175, 13495, 6607, 514, 1410, 2125, 19111, 282, 2343, 3734, 2988, 3998, 2801, 779, 16, 515, 290, 2898, 1161, 12384, 2241, 309, 19862, 5814, 1055, 1329, 322, 3665, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 19862, 13006, 464, 1176, 411, 16061, 268, 712, 309, 21901, 478, 49287, 470, 510, 26914, 277, 478, 26053, 324, 403, 1972, 910, 1726, 20359, 5901, 8552, 346, 14334, 28994, 718, 11686, 309, 1500, 1405, 18, 31224, 30, 780, 2711, 3051, 1912, 986, 16, 492, 7118, 282, 46191, 289, 32147, 1852, 22790, 36260, 15222, 39316, 17, 297, 1004, 394, 510, 2733, 575, 16, 4080, 685, 17659, 451, 8324, 404, 462, 744, 1927, 403, 2796, 16, 1029, 4011, 428, 6110, 975, 1376, 293, 9861, 383, 18149, 18, 17061, 428, 510, 1548, 374, 505, 1376, 29494, 3817, 403, 1972, 16, 15998, 4849, 2016, 1110, 6059, 16, 726, 2500, 322, 282, 1190, 18, 22642, 282, 970, 16, 374, 1759, 1244, 465, 1279, 18, 528, 1004, 344, 11686, 18428, 1211, 13801, 16, 371, 44766, 294, 8744, 32020, 475, 5796, 2513, 3236, 3515, 271, 36991, 18, 10334, 22729, 322, 15715, 16, 2230, 10231, 24104, 349, 3195, 294, 24815, 4287, 30, 334, 18186, 15185, 16167, 510, 27276, 24345, 510, 31719, 1251, 867, 289, 2184, 13891, 322, 502, 16, 753, 1932, 24189, 510, 3848, 16, 1122, 3525, 6645, 3151, 3731, 1742, 3672, 18, 996, 8339, 8405, 2496, 24345, 16, 988, 505, 2170, 2409, 4362, 396, 28301, 10873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 52, 18, 365, 4542, 34968, 9289, 1059, 14592, 52, 5554, 309, 9456, 282, 15593, 4017, 19, 283, 11715, 1867, 281, 26631, 304, 16, 2687, 2854, 4317, 9, 13803, 318, 26611, 2095, 4621, 18, 365, 4413, 518, 843, 744, 3974, 32295, 26631, 47724, 309, 9456, 282, 3610, 4017, 19, 283, 281, 3714, 291, 2344, 7994, 281, 10383, 680, 1963, 18, 365, 5491, 750, 16, 32461, 344, 11100, 40250, 5335, 290, 30884, 552, 25281, 16, 7352, 47724, 281, 36145, 33973, 9511, 309, 9456, 282, 4518, 4017, 19, 283, 18, 35157, 12928, 11462, 6607, 514, 1410, 816, 4217, 798, 282, 19779, 5999, 365, 1750, 281, 5516, 2661, 17, 2704, 353, 5040, 6198, 4896, 27182, 7418, 367, 371, 309, 4695, 309, 16675, 264, 510, 20391, 5999, 10468, 522, 40013, 617, 4621, 30029, 26349, 3623, 4217, 798, 282, 26746, 5999, 14069, 1453, 6607, 514, 1410, 816, 10874, 26515, 15298, 281, 33560, 6046, 4869, 3872, 18036, 282, 7044, 43820, 1180, 21764, 289, 39181, 17, 38, 29905, 776, 17, 24830, 3144, 18, 42636, 32720, 282, 41495, 18839, 712, 16, 1029, 3619, 10874, 3230, 16, 1559, 16229, 35640, 1902, 5041, 18, 3759, 4748, 14312, 16, 374, 13328, 778, 7547, 23766, 574, 2397, 22299, 2110, 3952, 282, 1767, 1440, 37086, 3623, 289, 20142, 37511, 2712, 965, 428, 2236, 411, 13764, 282, 1335, 6491, 18, 45241, 17, 8844, 38889, 6607, 514, 1410, 727, 380, 9058, 8833, 3602, 342, 14018, 2815, 16, 374, 13290, 8974, 2570, 2134, 291, 4068, 8934, 906, 39676, 5173, 281, 6175, 4626, 6607, 514, 1410, 18, 478, 4441, 6993, 26428, 49994, 924, 16, 374, 7180, 622, 3338, 8138, 541, 813, 6245, 466, 1223, 18, 3791, 481, 2548, 290, 36803, 4621, 281, 4947, 4611, 15545, 4068, 6446, 7923, 1810, 910, 510, 7332, 1694, 3609, 17, 503, 383, 16767, 10958, 21572, 1656, 559, 18, 42429, 400, 6965, 9289, 1059, 14592, 52, 18839, 266, 275, 2817, 1802, 1831, 769, 38328, 87, 1038, 3619, 2852, 8460, 16, 515, 371, 1033, 1073, 4357, 33523, 5554, 3619, 1293, 1033, 29475, 10874, 16, 828, 6607, 514, 1410, 816, 18, 996, 16, 769, 38328, 87, 3619, 18001, 3623, 12928, 11462, 16, 3077, 668, 31932, 7418, 541, 2533, 510, 21547, 7418, 367, 541, 11462, 510, 15593, 5999, 33084, 40013, 617, 30029, 26349, 3623, 329, 769, 38328, 87, 4217, 286, 282, 26746, 5999, 41651, 16, 374, 1802, 1831, 289, 6607, 514, 1410, 4419, 2558, 538, 1595, 13013, 6152, 12917, 309, 4789, 1212, 5814, 519, 5129, 18, 1303, 1743, 282, 970, 16, 374, 48015, 778, 580, 1204, 1802, 1831, 13494, 3499, 15776, 514, 550, 16, 1056, 6222, 539, 5316, 1433, 27613, 8934, 18, 640, 22993, 1802, 1831, 7063, 7291, 1802, 29, 16, 515, 541, 18836, 432, 32226, 8425, 5267, 15776, 514, 550, 18, 365, 15614, 20545, 1551, 7007, 309, 2580, 6607, 514, 1410, 289, 17602, 360, 1802, 1831, 17899, 1595, 48015, 778, 580, 1204, 282, 7044, 424, 7848, 1802, 29, 18, 2263, 29004, 6607, 514, 1410, 5092, 281, 5653, 779, 18, 8444, 6048, 1807, 41779, 14591, 32137, 7547, 801, 1709, 354, 769, 1308, 93, 289, 14647, 680, 2241, 27000, 33231, 18, 27401, 1809, 5173, 6607, 514, 1410, 639, 23403, 49254, 8974, 309, 8275, 5538, 289, 1120, 6301, 16830, 19226, 18828, 7043, 1335, 2095, 5839, 16, 988, 20142, 23800, 12945, 32830, 620, 18, 23710, 467, 6607, 514, 1410, 12665, 309, 4347, 11942, 913, 282, 49650, 282, 11500, 3734, 779, 16, 988, 40562, 22644, 18839, 6945, 580, 1204, 6607, 514, 1410, 816, 16, 505, 16154, 282, 25300, 263, 478, 272, 11565, 300, 470, 289, 18839, 6945, 22615, 9049, 35865, 28646, 70, 8441, 18, 1303, 32479, 4621, 30244, 309, 2059, 29205, 18, 365, 3106, 18112, 20498, 354, 309, 6607, 514, 1410, 816, 8425, 430, 16, 26, 17, 5700, 23079, 19805, 1742, 16604, 510, 541, 11497, 427, 5538, 16, 988, 282, 920, 781, 3164, 39258, 16, 3260, 3215, 17837, 18, 3557, 322, 2619, 282, 2241, 16144, 16, 374, 6029, 309, 478, 1079, 9500, 304, 3609, 326, 546, 470, 764, 895, 19111, 16, 475, 5917, 360, 22506, 18, 403, 648, 9049, 35865, 28646, 70, 8441, 16, 282, 1423, 3678, 16, 15123, 39406, 668, 1333, 7576, 26055, 16, 1541, 8751, 411, 33118, 2506, 346, 39126, 30649, 430, 16, 22, 359, 289, 2999, 509, 17, 265, 356, 432, 25945, 18, 365, 11130, 3734, 779, 7190, 6607, 514, 1410, 12002, 290, 38508, 28194, 282, 12922, 582, 2241, 764, 2236, 29141, 665, 289, 20122, 580, 13870, 18, 16375, 675, 6607, 514, 1410, 282, 7044, 38348, 281, 4755, 29336, 282, 518, 11594, 9289, 1059, 14592, 52, 580, 13870, 6607, 514, 1410, 816, 18, 24051, 347, 11411, 7072, 3164, 309, 2581, 582, 360, 2261, 4500, 18, 519, 1939, 4500, 18, 7307, 510, 34034, 43552, 360, 43820, 16, 34853, 863, 289, 29885, 37, 15484, 27515, 1050, 45447, 674, 534, 33638, 4364, 282, 803, 575, 2898, 12077, 31820, 18, 16102, 19297, 10241, 4040, 9248, 333, 746, 18, 365, 1750, 9792, 282, 17654, 7044, 40562, 14145, 2159, 23403, 309, 5814, 17370, 5538, 18, 365, 1175, 13495, 6607, 514, 1410, 2125, 19111, 282, 2343, 3734, 2988, 3998, 2801, 779, 16, 515, 290, 2898, 1161, 12384, 2241, 309, 19862, 5814, 1055, 1329, 322, 3665, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 19862, 13006, 464, 1176, 411, 16061, 268, 712, 309, 21901, 478, 49287, 470, 510, 26914, 277, 478, 26053, 324, 403, 1972, 910, 1726, 20359, 5901, 8552, 346, 14334, 28994, 718, 11686, 309, 1500, 1405, 18, 31224, 30, 780, 2711, 3051, 1912, 986, 16, 492, 7118, 282, 46191, 289, 32147, 1852, 22790, 36260, 15222, 39316, 17, 297, 1004, 394, 510, 2733, 575, 16, 4080, 685, 17659, 451, 8324, 404, 462, 744, 1927, 403, 2796, 16, 1029, 4011, 428, 6110, 975, 1376, 293, 9861, 383, 18149, 18, 17061, 428, 510, 1548, 374, 505, 1376, 29494, 3817, 403, 1972, 16, 15998, 4849, 2016, 1110, 6059, 16, 726, 2500, 322, 282, 1190, 18, 22642, 282, 970, 16, 374, 1759, 1244, 465, 1279, 18, 528, 1004, 344, 11686, 18428, 1211, 13801, 16, 371, 44766, 294, 8744, 32020, 475, 5796, 2513, 3236, 3515, 271, 36991, 18, 10334, 22729, 322, 15715, 16, 2230, 10231, 24104, 349, 3195, 294, 24815, 4287, 30, 334, 18186, 15185, 16167, 510, 27276, 24345, 510, 31719, 1251, 867, 289, 2184, 13891, 322, 502, 16, 753, 1932, 24189, 510, 3848, 16, 1122, 3525, 6645, 3151, 3731, 1742, 3672, 18, 996, 8339, 8405, 2496, 24345, 16, 988, 505, 2170, 2409, 4362, 396, 28301, 10873 ]
[ 42428, 528, 26848, 16, 5076, 5237, 1636, 1381, 8662, 294, 18499, 519, 33305, 18, 824, 8872, 5606, 8560, 13006, 354, 478, 26053, 324, 403, 1972, 470, 726, 35333, 2364, 4843, 3324, 3763, 289, 2397, 16414, 1658, 16, 21, 309, 4536, 72, 70, 510, 3022, 16, 374, 1588, 1122, 16, 2402, 39956, 289, 14615, 10977, 31441, 11806, 18, 10942, 2388, 21907, 1924, 2098, 1645, 26938, 329, 4186, 11864, 477, 32922, 353, 510, 2702, 10229, 16, 428, 478, 18771, 451, 27410, 470, 27655, 10223, 391, 1869, 324, 424, 15138, 282, 3609, 263, 7878, 15474, 478, 684, 6772, 434, 4576, 470, 4426, 8885, 277, 28654, 768, 1004, 27857, 16767, 18, 3759, 575, 5522, 13771, 19637, 289, 4466, 309, 34958, 510, 687, 5318, 294, 30613, 18, 1787, 44944, 1983, 52, 5427, 559, 2388, 7005, 16, 9705, 16, 322, 282, 1739, 10746, 18, 889, 16, 4213, 16, 15998, 28636, 9383, 38699, 16, 1480, 549, 11670, 16365, 16, 961, 10191, 31342, 1844, 6099, 360, 16192, 382, 478, 41161, 266, 17, 861, 996, 639, 281, 478, 16802, 17003, 36415, 910, 41869, 4028, 35972, 282, 28636, 15459, 4889, 16, 453, 639, 281, 11526, 845, 478, 1009, 2347, 10667, 761, 910, 3286, 4028, 16, 374, 281, 9154, 942, 3111, 290, 36621, 2935, 263, 749, 23082, 541, 5366, 18, 996, 4983, 289, 281, 478, 26053, 416, 403, 1972, 910, 1586, 726, 13317, 282, 359, 356, 2311, 285, 11898, 478, 49287, 861, 11339, 16, 828, 20982, 40092, 9080, 2900, 9792, 16, 11271, 16, 374, 478, 684, 1972, 470, 510, 13649, 34767, 16, 28046, 48115, 3260, 541, 23219, 282, 4889, 281, 13472, 18, 3557, 1033, 374, 282, 26290, 7823, 7992, 662, 3147, 895, 48029, 282, 2630, 281, 44263, 27133, 6876, 8840, 969, 5427, 559, 14008, 586, 4069, 305, 665, 282, 4945, 43803, 13638, 411, 17, 431, 44320, 45185, 282, 914, 1041, 4062, 292, 18, 5043, 16, 26025, 309, 39642, 3930, 510, 9200, 541, 29635, 11330, 16, 1029, 16, 3754, 16, 895, 42002, 1558, 16487, 668, 18941, 622, 16, 2588, 445, 349, 14176, 18955, 26914, 918, 969, 5427, 559, 18, 985, 289, 10544, 24803, 6340, 2241, 16, 478, 26053, 324, 403, 1972, 470, 935, 2337, 288, 530, 346, 2443, 837, 895, 22954, 282, 42454, 2009, 36178, 281, 3955, 309, 9310, 620, 2468, 18, 985, 289, 282, 1750, 281, 18198, 21797, 16, 282, 828, 27638, 16, 18728, 1291, 17960, 4011, 373, 4385, 18, 1178, 575, 17454, 8132, 20009, 360, 15386, 16, 502, 8120, 969, 5427, 559, 322, 4443, 282, 37269, 15645, 30841, 289, 4198, 432, 7459, 8126, 292, 16, 10771, 2339, 5764, 451, 16, 1715, 20879, 451, 11618, 16, 515, 289, 567, 1649, 750, 294, 23083, 2078, 289, 5545, 954, 18, 439, 724, 10996, 4889, 7220, 13836, 13423, 1809, 5777, 6033, 16, 289, 1215, 510, 11061, 2206, 4362, 8078, 24345, 16, 428, 3665, 16, 7926, 8694, 282, 2159, 808, 935, 11088, 45361, 7485, 13226, 30058, 18, 889, 2826, 14709, 1815, 3731, 265, 356, 42725, 9288, 16, 3221, 9902, 281, 3279, 895, 4853, 374, 31983, 17, 350, 426, 14508, 1197, 324, 937, 2101, 488, 7891, 18, 2263, 334, 1190, 6548, 11175, 17, 37323, 1310, 266, 510, 34767, 24890, 541, 45304, 329, 14866, 19901, 16, 515, 492, 764, 289, 5545, 286, 1715, 30611, 18759, 2661, 473, 343, 6611, 510, 42898, 20014, 7541, 934, 367, 1038, 37520, 334, 22182, 582, 37957, 289, 1851, 17, 299, 7294, 2545, 5843, 842, 323, 334, 3946, 5402, 293, 1004, 18, 459, 481, 322, 4538, 290, 3580, 8552, 770, 24815, 2279, 16, 1029, 16, 5938, 20704, 33169, 16, 1768, 482, 1211, 17902, 1330, 12365, 414, 456, 4144, 2466, 30068, 18, 459, 1336, 16, 4818, 16, 1381, 2023, 374, 17, 299, 396, 20597, 11732, 4846, 22823, 11330, 290, 3422, 477, 10028, 7771, 36065, 6764, 16, 515, 481, 16, 38242, 3702, 16, 3240, 322, 11984, 539, 16, 374, 912, 282, 478, 26053, 404, 403, 1972, 861, 889, 4889, 322, 396, 4913, 16, 367, 396, 30031, 1354, 16, 1586, 14968, 16, 4813, 537, 309, 374, 510, 42703, 3022, 16, 785, 282, 4884, 1934, 4357, 46913, 333, 2330, 763, 10012, 1263, 521, 31077, 11848, 536, 15222, 39316, 5667, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 31407, 8231, 15626, 1789, 46060, 16, 2024, 31439, 282, 37555, 309, 16979, 46776, 272, 15873, 1941, 4621, 9001, 8129, 578, 401, 16, 47628, 282, 12564, 1423, 16154, 6059, 18, 38232, 17, 11679, 13184, 2815, 16, 374, 9234, 10760, 16, 753, 2048, 8707, 4523, 21500, 16, 367, 8129, 578, 401, 16, 282, 2024, 7757, 7280, 16, 8731, 9293, 7425, 10865, 282, 37596, 13680, 4173, 16, 1548, 374, 43244, 41389, 282, 28564, 412, 11695, 266, 1423, 10968, 18, 31224, 30, 6706, 12241, 282, 7651, 1970, 1212, 4972, 547, 12564, 4534, 2797, 3264, 1166, 9798, 19361, 5119, 45229, 8231, 334, 7589, 1147, 10337, 1147, 26588, 473, 3127, 18175, 13, 39064, 1789, 46060, 367, 18, 1681, 911, 523, 837, 282, 31330, 31439, 334, 327, 18, 1032, 422, 18, 41538, 11828, 2407, 473, 960, 1690, 468, 2246, 2035, 16021, 23292, 16, 31758, 2284, 334, 28537, 617, 4913, 48944, 814, 4016, 3972, 5021, 779, 492, 25440, 411, 29557, 6507, 23957, 282, 8850, 16979, 46776, 272, 15873, 1941, 4621, 9001, 8129, 578, 401, 16, 4511, 2636, 281, 1498, 3361, 1011, 13305, 18, 385, 2223, 14719, 1789, 46060, 21396, 16, 322, 2282, 14242, 537, 478, 1602, 1853, 3961, 910, 537, 22200, 1624, 367, 8959, 879, 10383, 16, 5076, 28975, 13317, 282, 3342, 44060, 25465, 306, 16, 3826, 360, 30897, 36060, 18, 45855, 539, 13391, 334, 49605, 6619, 726, 3227, 18238, 16, 289, 567, 12241, 1789, 46060, 473, 511, 17, 431, 46760, 7574, 975, 36897, 935, 322, 30760, 477, 11796, 6651, 26900, 9522, 13, 47628, 1423, 16154, 478, 1208, 2247, 434, 14434, 470, 510, 1717, 453, 492, 17029, 41295, 16, 411, 17, 431, 2024, 4167, 349, 47961, 18, 365, 3765, 309, 2706, 3972, 16, 4848, 32233, 1342, 292, 795, 1779, 282, 35524, 31407, 16, 492, 10747, 1423, 10968, 3977, 281, 1810, 18, 12975, 1789, 272, 3854, 13000, 3224, 2610, 282, 21140, 309, 14936, 615, 17, 684, 446, 2440, 680, 4625, 16, 722, 26194, 19011, 3964, 349, 31566, 18, 478, 1140, 813, 15626, 7305, 687, 6440, 910, 510, 11661, 40354, 425, 11350, 17, 11679, 26932, 27913, 24601, 16, 14380, 451, 282, 1551, 282, 3106, 40178, 6198, 18, 824, 7475, 14160, 16, 1789, 46060, 5008, 349, 21929, 7331, 536, 18, 824, 34537, 2818, 48845, 16, 2548, 26900, 10823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42428, 528, 26848, 16, 5076, 5237, 1636, 1381, 8662, 294, 18499, 519, 33305, 18, 824, 8872, 5606, 8560, 13006, 354, 478, 26053, 324, 403, 1972, 470, 726, 35333, 2364, 4843, 3324, 3763, 289, 2397, 16414, 1658, 16, 21, 309, 4536, 72, 70, 510, 3022, 16, 374, 1588, 1122, 16, 2402, 39956, 289, 14615, 10977, 31441, 11806, 18, 10942, 2388, 21907, 1924, 2098, 1645, 26938, 329, 4186, 11864, 477, 32922, 353, 510, 2702, 10229, 16, 428, 478, 18771, 451, 27410, 470, 27655, 10223, 391, 1869, 324, 424, 15138, 282, 3609, 263, 7878, 15474, 478, 684, 6772, 434, 4576, 470, 4426, 8885, 277, 28654, 768, 1004, 27857, 16767, 18, 3759, 575, 5522, 13771, 19637, 289, 4466, 309, 34958, 510, 687, 5318, 294, 30613, 18, 1787, 44944, 1983, 52, 5427, 559, 2388, 7005, 16, 9705, 16, 322, 282, 1739, 10746, 18, 889, 16, 4213, 16, 15998, 28636, 9383, 38699, 16, 1480, 549, 11670, 16365, 16, 961, 10191, 31342, 1844, 6099, 360, 16192, 382, 478, 41161, 266, 17, 861, 996, 639, 281, 478, 16802, 17003, 36415, 910, 41869, 4028, 35972, 282, 28636, 15459, 4889, 16, 453, 639, 281, 11526, 845, 478, 1009, 2347, 10667, 761, 910, 3286, 4028, 16, 374, 281, 9154, 942, 3111, 290, 36621, 2935, 263, 749, 23082, 541, 5366, 18, 996, 4983, 289, 281, 478, 26053, 416, 403, 1972, 910, 1586, 726, 13317, 282, 359, 356, 2311, 285, 11898, 478, 49287, 861, 11339, 16, 828, 20982, 40092, 9080, 2900, 9792, 16, 11271, 16, 374, 478, 684, 1972, 470, 510, 13649, 34767, 16, 28046, 48115, 3260, 541, 23219, 282, 4889, 281, 13472, 18, 3557, 1033, 374, 282, 26290, 7823, 7992, 662, 3147, 895, 48029, 282, 2630, 281, 44263, 27133, 6876, 8840, 969, 5427, 559, 14008, 586, 4069, 305, 665, 282, 4945, 43803, 13638, 411, 17, 431, 44320, 45185, 282, 914, 1041, 4062, 292, 18, 5043, 16, 26025, 309, 39642, 3930, 510, 9200, 541, 29635, 11330, 16, 1029, 16, 3754, 16, 895, 42002, 1558, 16487, 668, 18941, 622, 16, 2588, 445, 349, 14176, 18955, 26914, 918, 969, 5427, 559, 18, 985, 289, 10544, 24803, 6340, 2241, 16, 478, 26053, 324, 403, 1972, 470, 935, 2337, 288, 530, 346, 2443, 837, 895, 22954, 282, 42454, 2009, 36178, 281, 3955, 309, 9310, 620, 2468, 18, 985, 289, 282, 1750, 281, 18198, 21797, 16, 282, 828, 27638, 16, 18728, 1291, 17960, 4011, 373, 4385, 18, 1178, 575, 17454, 8132, 20009, 360, 15386, 16, 502, 8120, 969, 5427, 559, 322, 4443, 282, 37269, 15645, 30841, 289, 4198, 432, 7459, 8126, 292, 16, 10771, 2339, 5764, 451, 16, 1715, 20879, 451, 11618, 16, 515, 289, 567, 1649, 750, 294, 23083, 2078, 289, 5545, 954, 18, 439, 724, 10996, 4889, 7220, 13836, 13423, 1809, 5777, 6033, 16, 289, 1215, 510, 11061, 2206, 4362, 8078, 24345, 16, 428, 3665, 16, 7926, 8694, 282, 2159, 808, 935, 11088, 45361, 7485, 13226, 30058, 18, 889, 2826, 14709, 1815, 3731, 265, 356, 42725, 9288, 16, 3221, 9902, 281, 3279, 895, 4853, 374, 31983, 17, 350, 426, 14508, 1197, 324, 937, 2101, 488, 7891, 18, 2263, 334, 1190, 6548, 11175, 17, 37323, 1310, 266, 510, 34767, 24890, 541, 45304, 329, 14866, 19901, 16, 515, 492, 764, 289, 5545, 286, 1715, 30611, 18759, 2661, 473, 343, 6611, 510, 42898, 20014, 7541, 934, 367, 1038, 37520, 334, 22182, 582, 37957, 289, 1851, 17, 299, 7294, 2545, 5843, 842, 323, 334, 3946, 5402, 293, 1004, 18, 459, 481, 322, 4538, 290, 3580, 8552, 770, 24815, 2279, 16, 1029, 16, 5938, 20704, 33169, 16, 1768, 482, 1211, 17902, 1330, 12365, 414, 456, 4144, 2466, 30068, 18, 459, 1336, 16, 4818, 16, 1381, 2023, 374, 17, 299, 396, 20597, 11732, 4846, 22823, 11330, 290, 3422, 477, 10028, 7771, 36065, 6764, 16, 515, 481, 16, 38242, 3702, 16, 3240, 322, 11984, 539, 16, 374, 912, 282, 478, 26053, 404, 403, 1972, 861, 889, 4889, 322, 396, 4913, 16, 367, 396, 30031, 1354, 16, 1586, 14968, 16, 4813, 537, 309, 374, 510, 42703, 3022, 16, 785, 282, 4884, 1934, 4357, 46913, 333, 2330, 763, 10012, 1263, 521, 31077, 11848, 536, 15222, 39316, 5667, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 31407, 8231, 15626, 1789, 46060, 16, 2024, 31439, 282, 37555, 309, 16979, 46776, 272, 15873, 1941, 4621, 9001, 8129, 578, 401, 16, 47628, 282, 12564, 1423, 16154, 6059, 18, 38232, 17, 11679, 13184, 2815, 16, 374, 9234, 10760, 16, 753, 2048, 8707, 4523, 21500, 16, 367, 8129, 578, 401, 16, 282, 2024, 7757, 7280, 16, 8731, 9293, 7425, 10865, 282, 37596, 13680, 4173, 16, 1548, 374, 43244, 41389, 282, 28564, 412, 11695, 266, 1423, 10968, 18, 31224, 30, 6706, 12241, 282, 7651, 1970, 1212, 4972, 547, 12564, 4534, 2797, 3264, 1166, 9798, 19361, 5119, 45229, 8231, 334, 7589, 1147, 10337, 1147, 26588, 473, 3127, 18175, 13, 39064, 1789, 46060, 367, 18, 1681, 911, 523, 837, 282, 31330, 31439, 334, 327, 18, 1032, 422, 18, 41538, 11828, 2407, 473, 960, 1690, 468, 2246, 2035, 16021, 23292, 16, 31758, 2284, 334, 28537, 617, 4913, 48944, 814, 4016, 3972, 5021, 779, 492, 25440, 411, 29557, 6507, 23957, 282, 8850, 16979, 46776, 272, 15873, 1941, 4621, 9001, 8129, 578, 401, 16, 4511, 2636, 281, 1498, 3361, 1011, 13305, 18, 385, 2223, 14719, 1789, 46060, 21396, 16, 322, 2282, 14242, 537, 478, 1602, 1853, 3961, 910, 537, 22200, 1624, 367, 8959, 879, 10383, 16, 5076, 28975, 13317, 282, 3342, 44060, 25465, 306, 16, 3826, 360, 30897, 36060, 18, 45855, 539, 13391, 334, 49605, 6619, 726, 3227, 18238, 16, 289, 567, 12241, 1789, 46060, 473, 511, 17, 431, 46760, 7574, 975, 36897, 935, 322, 30760, 477, 11796, 6651, 26900, 9522, 13, 47628, 1423, 16154, 478, 1208, 2247, 434, 14434, 470, 510, 1717, 453, 492, 17029, 41295, 16, 411, 17, 431, 2024, 4167, 349, 47961, 18, 365, 3765, 309, 2706, 3972, 16, 4848, 32233, 1342, 292, 795, 1779, 282, 35524, 31407, 16, 492, 10747, 1423, 10968, 3977, 281, 1810, 18, 12975, 1789, 272, 3854, 13000, 3224, 2610, 282, 21140, 309, 14936, 615, 17, 684, 446, 2440, 680, 4625, 16, 722, 26194, 19011, 3964, 349, 31566, 18, 478, 1140, 813, 15626, 7305, 687, 6440, 910, 510, 11661, 40354, 425, 11350, 17, 11679, 26932, 27913, 24601, 16, 14380, 451, 282, 1551, 282, 3106, 40178, 6198, 18, 824, 7475, 14160, 16, 1789, 46060, 5008, 349, 21929, 7331, 536, 18, 824, 34537, 2818, 48845, 16, 2548, 26900, 10823 ]
[ 16, 492, 20979, 477, 12494, 3610, 384, 8042, 4017, 19, 283, 16, 1548, 374, 5235, 8889, 289, 38307, 906, 31565, 18, 478, 24645, 9930, 309, 39735, 34301, 7566, 2742, 387, 18282, 16, 23014, 6611, 3971, 910, 510, 9112, 18398, 1789, 46060, 10927, 477, 46776, 272, 15873, 1941, 24467, 18, 824, 3163, 39003, 837, 16, 492, 322, 10587, 38094, 649, 289, 2780, 984, 18282, 13680, 2572, 16, 1029, 322, 21190, 4302, 6246, 440, 297, 1501, 291, 16, 334, 1324, 1941, 29216, 18, 22687, 4932, 427, 8945, 322, 3225, 30, 5554, 396, 23074, 1737, 33230, 742, 47698, 860, 1407, 5669, 12959, 16, 1561, 9429, 8092, 301, 304, 282, 13347, 2127, 2979, 18, 2263, 1789, 46060, 46115, 381, 21929, 289, 20179, 9724, 8433, 16, 367, 785, 5053, 282, 965, 289, 2363, 290, 27564, 4201, 42613, 16, 678, 5438, 16, 374, 478, 275, 3009, 25180, 861, 3529, 6447, 13184, 22850, 411, 4621, 289, 17908, 294, 46776, 643, 350, 28090, 18, 478, 35172, 16, 417, 4569, 20064, 309, 1047, 16, 510, 31482, 3671, 263, 17627, 5367, 18, 510, 608, 1047, 1320, 685, 12470, 451, 865, 18, 629, 322, 4773, 300, 9234, 16, 322, 6435, 505, 861, 1268, 13680, 4173, 1789, 46060, 1322, 709, 294, 14786, 16, 1586, 17294, 977, 309, 1593, 668, 676, 289, 676, 282, 6823, 16, 289, 5187, 18, 5402, 8688, 492, 10760, 16, 785, 478, 14845, 604, 862, 16, 374, 10383, 3957, 17560, 861, 510, 1012, 3255, 38828, 282, 13305, 35, 510, 38349, 22974, 12510, 6873, 884, 18, 510, 981, 18, 510, 16494, 4773, 414, 9234, 35, 510, 2387, 16, 2002, 16, 510, 10565, 9958, 3121, 1789, 46060, 289, 5692, 16, 374, 9170, 2048, 687, 8707, 4523, 21500, 16, 827, 10383, 38985, 17560, 18, 8129, 17108, 1717, 453, 289, 12175, 16, 2548, 26900, 10823, 30, 492, 41828, 282, 40011, 289, 6274, 15993, 349, 1807, 2979, 18, 478, 3001, 42162, 374, 17, 299, 16, 374, 1381, 9373, 38039, 8889, 18, 629, 9820, 30, 478, 563, 2840, 4271, 510, 6274, 17318, 2059, 3969, 2979, 16, 515, 492, 722, 2513, 937, 30037, 1082, 18, 459, 1373, 10152, 21500, 18, 996, 8233, 16, 20953, 1151, 910, 510, 20496, 282, 12564, 1789, 46060, 18, 9617, 13317, 28975, 510, 492, 322, 3189, 18, 510, 2787, 912, 12855, 387, 21918, 309, 2132, 582, 35, 510, 7924, 7524, 294, 27108, 272, 16044, 6370, 3584, 476, 7929, 18, 510, 2052, 21500, 11540, 16, 2862, 309, 2132, 582, 16, 510, 7214, 26900, 10823, 18, 824, 3163, 1789, 272, 3854, 16, 329, 1223, 4053, 20202, 309, 34537, 1212, 29176, 282, 1613, 3765, 685, 4849, 510, 32781, 4322, 16, 1029, 3189, 13305, 289, 935, 4263, 5172, 10203, 14786, 39003, 837, 16, 9196, 735, 275, 25111, 16, 374, 282, 15532, 14658, 10383, 46776, 272, 15873, 1941, 4621, 18, 47440, 520, 39005, 26801, 4849, 16, 428, 1789, 46060, 32244, 16, 26900, 10823, 322, 3365, 18, 740, 16, 334, 505, 3163, 16, 4849, 15532, 726, 1011, 25665, 4427, 17, 299, 36867, 282, 40011, 16979, 16, 24144, 281, 8129, 578, 2509, 1624, 367, 971, 4223, 289, 2815, 30, 478, 6039, 282, 4666, 16, 7649, 4854, 861, 365, 12564, 978, 40178, 1320, 2797, 9973, 30, 309, 44617, 11073, 492, 4263, 17187, 334, 7288, 397, 25378, 16, 322, 3523, 17588, 309, 6612, 750, 5112, 18, 2320, 3499, 36817, 298, 3467, 16, 282, 33841, 1101, 492, 7312, 428, 6096, 18, 9098, 7272, 36560, 32039, 867, 16, 374, 4849, 13056, 484, 349, 1423, 1805, 18, 985, 13737, 478, 46088, 18, 8381, 470, 11009, 8165, 16, 6096, 322, 11661, 16, 374, 36867, 282, 40011, 294, 8129, 578, 11118, 18, 817, 1109, 16, 374, 3189, 36213, 16, 6388, 478, 4743, 323, 17, 299, 5958, 368, 910, 367, 971, 19450, 17560, 16, 1548, 374, 22730, 6052, 281, 38319, 510, 1789, 272, 3854, 18, 29157, 1214, 548, 26900, 13928, 11680, 16, 374, 36560, 478, 1567, 1627, 326, 40178, 11593, 309, 290, 1941, 3429, 582, 31407, 505, 8641, 322, 13200, 1501, 16, 289, 492, 322, 9378, 334, 11834, 395, 18, 3546, 2061, 506, 477, 28631, 7557, 13441, 322, 3225, 18, 817, 47423, 1636, 9473, 14833, 281, 26900, 12418, 289, 505, 16052, 18, 478, 9489, 924, 428, 4849, 14119, 16, 417, 5264, 294, 14786, 289, 8325, 722, 282, 28564, 412, 11695, 266, 910, 510, 5883, 10919, 17187, 1789, 46060, 18, 3654, 492, 322, 1559, 478, 598, 2040, 506, 470, 281, 41922, 2915, 289, 322, 14306, 6814, 22200, 16, 1830, 349, 1293, 1879, 519, 978, 2259, 685, 281, 38319, 282, 4082, 11187, 8129, 578, 401, 10030, 309, 2468, 13631, 16, 31407, 18719, 322, 10824, 18, 510, 629, 13633, 349, 1805, 8880, 289, 4158, 9190, 4282, 473, 682, 766, 38304, 1789, 272, 3854, 906, 44038, 16, 2686, 1248, 6711, 808, 1011, 24164, 7227, 329, 1710, 33529, 387, 382, 700, 301, 510, 478, 18386, 18, 8381, 12235, 510, 33351, 492, 282, 12564, 18, 510, 3654, 322, 18474, 478, 1602, 1853, 9519, 510, 322, 13283, 27992, 22974, 18, 510, 1345, 1727, 9748, 282, 28564, 412, 11695, 266, 18, 510, 1012, 3336, 519, 5468, 35, 510, 2387, 18, 365, 6031, 282, 13335, 537, 1789, 46060, 16, 537, 505, 5590, 453, 289, 322, 20353, 18, 640, 5421, 1119, 15560, 2819, 1545, 47698, 31407, 37535, 309, 15772, 454, 1728, 33336, 282, 25965, 1414, 418, 16, 367, 1248, 1421, 2299, 7000, 271, 29557, 7376, 9234, 16, 411, 2024, 32244, 282, 8129, 578, 401, 16, 289, 41026, 505, 334, 39886, 18, 365, 12564, 1789, 46060, 10824, 16, 374, 1139, 2054, 3729, 9234, 16, 515, 505, 322, 3225, 1858, 11028, 478, 511, 17, 431, 4704, 718, 14065, 8012, 861, 478, 40954, 16, 24968, 12983, 910, 510, 5892, 6400, 26900, 10823, 18, 2112, 37728, 492, 7846, 18629, 7768, 16, 988, 7563, 41153, 360, 23957, 18, 439, 282, 12564, 4848, 16, 374, 18719, 322, 14292, 13304, 281, 11214, 16, 453, 428, 334, 30347, 5119, 5195, 1743, 281, 6347, 4838, 15901, 17209, 30, 478, 780, 647, 5472, 510, 481, 16073, 18555, 755, 289, 20579, 861, 19429, 11036, 519, 48153, 24340, 1789, 46060, 13558, 309, 9324, 16, 367, 971, 14119, 1974, 281, 10092, 309, 30772, 294, 6527, 18, 510, 9384, 5343, 31731, 16, 1085, 28556, 309, 978, 16979, 16, 510, 2199, 7831, 16044, 3584, 476, 7929, 18, 510, 365, 8231, 334, 1312, 18175, 322, 6745, 381, 803, 35, 510, 1575, 271, 510, 481, 322, 2204, 10913, 13518, 16, 510, 12633, 1116, 6485, 4437, 4165, 1789, 46060, 18, 510, 17645, 6676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 492, 20979, 477, 12494, 3610, 384, 8042, 4017, 19, 283, 16, 1548, 374, 5235, 8889, 289, 38307, 906, 31565, 18, 478, 24645, 9930, 309, 39735, 34301, 7566, 2742, 387, 18282, 16, 23014, 6611, 3971, 910, 510, 9112, 18398, 1789, 46060, 10927, 477, 46776, 272, 15873, 1941, 24467, 18, 824, 3163, 39003, 837, 16, 492, 322, 10587, 38094, 649, 289, 2780, 984, 18282, 13680, 2572, 16, 1029, 322, 21190, 4302, 6246, 440, 297, 1501, 291, 16, 334, 1324, 1941, 29216, 18, 22687, 4932, 427, 8945, 322, 3225, 30, 5554, 396, 23074, 1737, 33230, 742, 47698, 860, 1407, 5669, 12959, 16, 1561, 9429, 8092, 301, 304, 282, 13347, 2127, 2979, 18, 2263, 1789, 46060, 46115, 381, 21929, 289, 20179, 9724, 8433, 16, 367, 785, 5053, 282, 965, 289, 2363, 290, 27564, 4201, 42613, 16, 678, 5438, 16, 374, 478, 275, 3009, 25180, 861, 3529, 6447, 13184, 22850, 411, 4621, 289, 17908, 294, 46776, 643, 350, 28090, 18, 478, 35172, 16, 417, 4569, 20064, 309, 1047, 16, 510, 31482, 3671, 263, 17627, 5367, 18, 510, 608, 1047, 1320, 685, 12470, 451, 865, 18, 629, 322, 4773, 300, 9234, 16, 322, 6435, 505, 861, 1268, 13680, 4173, 1789, 46060, 1322, 709, 294, 14786, 16, 1586, 17294, 977, 309, 1593, 668, 676, 289, 676, 282, 6823, 16, 289, 5187, 18, 5402, 8688, 492, 10760, 16, 785, 478, 14845, 604, 862, 16, 374, 10383, 3957, 17560, 861, 510, 1012, 3255, 38828, 282, 13305, 35, 510, 38349, 22974, 12510, 6873, 884, 18, 510, 981, 18, 510, 16494, 4773, 414, 9234, 35, 510, 2387, 16, 2002, 16, 510, 10565, 9958, 3121, 1789, 46060, 289, 5692, 16, 374, 9170, 2048, 687, 8707, 4523, 21500, 16, 827, 10383, 38985, 17560, 18, 8129, 17108, 1717, 453, 289, 12175, 16, 2548, 26900, 10823, 30, 492, 41828, 282, 40011, 289, 6274, 15993, 349, 1807, 2979, 18, 478, 3001, 42162, 374, 17, 299, 16, 374, 1381, 9373, 38039, 8889, 18, 629, 9820, 30, 478, 563, 2840, 4271, 510, 6274, 17318, 2059, 3969, 2979, 16, 515, 492, 722, 2513, 937, 30037, 1082, 18, 459, 1373, 10152, 21500, 18, 996, 8233, 16, 20953, 1151, 910, 510, 20496, 282, 12564, 1789, 46060, 18, 9617, 13317, 28975, 510, 492, 322, 3189, 18, 510, 2787, 912, 12855, 387, 21918, 309, 2132, 582, 35, 510, 7924, 7524, 294, 27108, 272, 16044, 6370, 3584, 476, 7929, 18, 510, 2052, 21500, 11540, 16, 2862, 309, 2132, 582, 16, 510, 7214, 26900, 10823, 18, 824, 3163, 1789, 272, 3854, 16, 329, 1223, 4053, 20202, 309, 34537, 1212, 29176, 282, 1613, 3765, 685, 4849, 510, 32781, 4322, 16, 1029, 3189, 13305, 289, 935, 4263, 5172, 10203, 14786, 39003, 837, 16, 9196, 735, 275, 25111, 16, 374, 282, 15532, 14658, 10383, 46776, 272, 15873, 1941, 4621, 18, 47440, 520, 39005, 26801, 4849, 16, 428, 1789, 46060, 32244, 16, 26900, 10823, 322, 3365, 18, 740, 16, 334, 505, 3163, 16, 4849, 15532, 726, 1011, 25665, 4427, 17, 299, 36867, 282, 40011, 16979, 16, 24144, 281, 8129, 578, 2509, 1624, 367, 971, 4223, 289, 2815, 30, 478, 6039, 282, 4666, 16, 7649, 4854, 861, 365, 12564, 978, 40178, 1320, 2797, 9973, 30, 309, 44617, 11073, 492, 4263, 17187, 334, 7288, 397, 25378, 16, 322, 3523, 17588, 309, 6612, 750, 5112, 18, 2320, 3499, 36817, 298, 3467, 16, 282, 33841, 1101, 492, 7312, 428, 6096, 18, 9098, 7272, 36560, 32039, 867, 16, 374, 4849, 13056, 484, 349, 1423, 1805, 18, 985, 13737, 478, 46088, 18, 8381, 470, 11009, 8165, 16, 6096, 322, 11661, 16, 374, 36867, 282, 40011, 294, 8129, 578, 11118, 18, 817, 1109, 16, 374, 3189, 36213, 16, 6388, 478, 4743, 323, 17, 299, 5958, 368, 910, 367, 971, 19450, 17560, 16, 1548, 374, 22730, 6052, 281, 38319, 510, 1789, 272, 3854, 18, 29157, 1214, 548, 26900, 13928, 11680, 16, 374, 36560, 478, 1567, 1627, 326, 40178, 11593, 309, 290, 1941, 3429, 582, 31407, 505, 8641, 322, 13200, 1501, 16, 289, 492, 322, 9378, 334, 11834, 395, 18, 3546, 2061, 506, 477, 28631, 7557, 13441, 322, 3225, 18, 817, 47423, 1636, 9473, 14833, 281, 26900, 12418, 289, 505, 16052, 18, 478, 9489, 924, 428, 4849, 14119, 16, 417, 5264, 294, 14786, 289, 8325, 722, 282, 28564, 412, 11695, 266, 910, 510, 5883, 10919, 17187, 1789, 46060, 18, 3654, 492, 322, 1559, 478, 598, 2040, 506, 470, 281, 41922, 2915, 289, 322, 14306, 6814, 22200, 16, 1830, 349, 1293, 1879, 519, 978, 2259, 685, 281, 38319, 282, 4082, 11187, 8129, 578, 401, 10030, 309, 2468, 13631, 16, 31407, 18719, 322, 10824, 18, 510, 629, 13633, 349, 1805, 8880, 289, 4158, 9190, 4282, 473, 682, 766, 38304, 1789, 272, 3854, 906, 44038, 16, 2686, 1248, 6711, 808, 1011, 24164, 7227, 329, 1710, 33529, 387, 382, 700, 301, 510, 478, 18386, 18, 8381, 12235, 510, 33351, 492, 282, 12564, 18, 510, 3654, 322, 18474, 478, 1602, 1853, 9519, 510, 322, 13283, 27992, 22974, 18, 510, 1345, 1727, 9748, 282, 28564, 412, 11695, 266, 18, 510, 1012, 3336, 519, 5468, 35, 510, 2387, 18, 365, 6031, 282, 13335, 537, 1789, 46060, 16, 537, 505, 5590, 453, 289, 322, 20353, 18, 640, 5421, 1119, 15560, 2819, 1545, 47698, 31407, 37535, 309, 15772, 454, 1728, 33336, 282, 25965, 1414, 418, 16, 367, 1248, 1421, 2299, 7000, 271, 29557, 7376, 9234, 16, 411, 2024, 32244, 282, 8129, 578, 401, 16, 289, 41026, 505, 334, 39886, 18, 365, 12564, 1789, 46060, 10824, 16, 374, 1139, 2054, 3729, 9234, 16, 515, 505, 322, 3225, 1858, 11028, 478, 511, 17, 431, 4704, 718, 14065, 8012, 861, 478, 40954, 16, 24968, 12983, 910, 510, 5892, 6400, 26900, 10823, 18, 2112, 37728, 492, 7846, 18629, 7768, 16, 988, 7563, 41153, 360, 23957, 18, 439, 282, 12564, 4848, 16, 374, 18719, 322, 14292, 13304, 281, 11214, 16, 453, 428, 334, 30347, 5119, 5195, 1743, 281, 6347, 4838, 15901, 17209, 30, 478, 780, 647, 5472, 510, 481, 16073, 18555, 755, 289, 20579, 861, 19429, 11036, 519, 48153, 24340, 1789, 46060, 13558, 309, 9324, 16, 367, 971, 14119, 1974, 281, 10092, 309, 30772, 294, 6527, 18, 510, 9384, 5343, 31731, 16, 1085, 28556, 309, 978, 16979, 16, 510, 2199, 7831, 16044, 3584, 476, 7929, 18, 510, 365, 8231, 334, 1312, 18175, 322, 6745, 381, 803, 35, 510, 1575, 271, 510, 481, 322, 2204, 10913, 13518, 16, 510, 12633, 1116, 6485, 4437, 4165, 1789, 46060, 18, 510, 17645, 6676 ]
[ 7345, 382, 656, 322, 30198, 18, 11561, 4248, 350, 492, 1320, 322, 5185, 16, 6653, 322, 14843, 16, 367, 282, 12462, 309, 2570, 8340, 22178, 322, 36867, 18, 510, 1397, 16, 289, 478, 29464, 11764, 470, 322, 1283, 1166, 35, 510, 12391, 13364, 22974, 6873, 884, 18, 510, 629, 5113, 4285, 687, 309, 27245, 22178, 16, 784, 4772, 541, 978, 6040, 16, 510, 11466, 937, 2159, 35655, 2624, 294, 1511, 12231, 4842, 7223, 1789, 46060, 18, 365, 322, 1037, 763, 31407, 21717, 271, 519, 3915, 48153, 46551, 18, 1658, 3612, 519, 1047, 10465, 418, 10065, 8811, 3594, 6905, 3623, 473, 1140, 563, 983, 934, 367, 1533, 3612, 1789, 46060, 281, 42606, 11930, 282, 7522, 18, 365, 4698, 3678, 492, 20356, 281, 47439, 289, 13875, 351, 11800, 381, 15369, 7025, 18, 2320, 45603, 5869, 510, 478, 560, 24963, 986, 910, 24070, 8501, 11675, 548, 567, 12241, 3277, 16238, 294, 6619, 18, 1912, 3612, 1789, 46060, 20713, 5053, 309, 27108, 18, 478, 1358, 3027, 27267, 16, 374, 322, 38079, 34037, 7194, 8150, 16, 21500, 11540, 7280, 910, 510, 34102, 18804, 26900, 10823, 18, 640, 5542, 465, 1815, 1247, 20256, 492, 2715, 16, 374, 322, 26136, 1263, 290, 14565, 4840, 43301, 16021, 16, 1029, 12002, 5104, 289, 37797, 30979, 18, 510, 817, 473, 42666, 17108, 510, 478, 18386, 18, 8381, 9979, 14658, 282, 13305, 18, 1178, 373, 322, 36835, 16, 1329, 978, 373, 322, 639, 16, 510, 1789, 46060, 41696, 5362, 3049, 5129, 16, 282, 2114, 9677, 505, 5590, 16, 4411, 289, 3809, 18, 510, 1178, 373, 387, 18474, 44701, 289, 478, 1602, 1853, 3961, 910, 1320, 1329, 373, 322, 639, 16, 510, 3973, 16044, 18, 817, 13744, 16, 374, 18100, 1527, 13731, 15343, 3058, 281, 8337, 434, 19128, 334, 1156, 2634, 2791, 43301, 16021, 289, 23582, 2634, 2791, 349, 11608, 309, 17924, 10145, 3992, 30979, 289, 35938, 18, 17878, 19418, 567, 12241, 322, 6498, 26873, 1789, 272, 3854, 18, 985, 19988, 16, 282, 9937, 22974, 3696, 341, 16, 5608, 15857, 16, 334, 722, 4734, 16, 23191, 26900, 10823, 18, 6729, 2110, 3017, 16, 5564, 5171, 1789, 20788, 392, 16, 510, 1760, 986, 17703, 8124, 18, 2, 1, 87, 1456, 81, 2448, 30, 14842, 420, 1159, 1614, 14976, 41251, 11118, 7924, 4030, 294, 6561, 552, 3020, 2209, 38037, 17203, 1011, 924, 16, 428, 678, 906, 4773, 2773, 282, 33027, 1066, 2059, 411, 25350, 2224, 742, 281, 38010, 979, 424, 1225, 394, 16, 13120, 282, 5792, 18, 7909, 28174, 7190, 9631, 10226, 17245, 34991, 49405, 477, 6173, 478, 36635, 7908, 764, 3111, 861, 740, 2512, 47835, 17, 23390, 320, 41251, 1161, 7956, 18651, 3583, 26851, 16, 374, 5296, 40994, 478, 1079, 9500, 647, 861, 31224, 30, 14842, 420, 1159, 1614, 14976, 41251, 11118, 16, 1586, 906, 4773, 2773, 282, 33027, 1066, 2059, 411, 25350, 676, 2543, 16, 7924, 4030, 294, 6561, 552, 3020, 2209, 38037, 17203, 16, 3110, 472, 5437, 17565, 18, 6019, 290, 970, 16, 374, 30927, 906, 24214, 8087, 411, 17, 431, 11897, 19730, 282, 4829, 289, 424, 1225, 394, 7134, 2287, 3990, 16, 2686, 21719, 9631, 10226, 4137, 47557, 1388, 1655, 8566, 9099, 10744, 478, 296, 402, 304, 861, 478, 3096, 2060, 16, 988, 387, 2388, 7036, 2108, 464, 18, 1303, 1904, 16, 475, 282, 4666, 910, 510, 1109, 47557, 1388, 9577, 1918, 478, 46911, 861, 2333, 5770, 6946, 3424, 3438, 6519, 282, 5792, 8862, 16, 492, 322, 685, 4116, 14441, 928, 289, 2055, 271, 709, 309, 4371, 16, 1586, 906, 30733, 282, 17292, 584, 419, 844, 482, 40994, 18, 478, 6014, 420, 3325, 16, 417, 322, 30456, 4302, 15841, 18, 23384, 3251, 668, 4371, 309, 3338, 19616, 16, 282, 584, 419, 844, 482, 670, 988, 17, 299, 764, 18, 7858, 1314, 1337, 10919, 1329, 322, 840, 18, 5257, 374, 1055, 7908, 764, 3111, 910, 510, 9299, 492, 18, 47557, 1388, 1038, 4725, 16, 374, 478, 39943, 322, 4243, 910, 367, 282, 1078, 309, 5542, 465, 1733, 3586, 2815, 16, 374, 478, 26707, 408, 15841, 322, 14522, 861, 478, 9256, 18, 2787, 912, 16, 322, 502, 912, 18, 1012, 28195, 16, 374, 5387, 18, 629, 4302, 15841, 322, 14522, 910, 510, 1109, 21719, 41251, 1161, 18, 640, 5421, 1119, 1011, 11769, 13267, 290, 10072, 10414, 40994, 282, 722, 17292, 584, 419, 844, 482, 639, 28744, 14255, 7620, 3781, 17, 14130, 16, 988, 8297, 862, 5849, 5247, 19887, 31344, 18, 478, 672, 841, 34988, 2252, 536, 349, 17953, 339, 282, 10276, 1165, 12652, 434, 11338, 16, 282, 2114, 678, 11660, 3455, 16, 19518, 7312, 13094, 30221, 9593, 282, 2059, 411, 2224, 742, 4534, 18, 985, 3665, 16, 1293, 986, 2158, 329, 44290, 11095, 8087, 4674, 844, 18, 2502, 6726, 978, 8265, 678, 734, 1496, 645, 315, 10008, 910, 510, 17930, 282, 17292, 9907, 18, 967, 803, 42416, 16, 374, 9631, 11287, 7852, 1909, 309, 41859, 329, 14818, 12546, 282, 23522, 289, 21980, 12606, 2159, 8884, 282, 2630, 281, 36933, 21294, 18, 365, 3106, 9080, 24176, 31344, 41251, 1161, 282, 1175, 906, 40569, 15929, 29557, 3561, 18, 478, 17603, 16, 1011, 7658, 15570, 47052, 16, 20474, 282, 3198, 24033, 42326, 473, 265, 515, 1443, 23575, 523, 13, 19518, 13317, 282, 15867, 6018, 622, 510, 678, 16280, 332, 8850, 18, 365, 3198, 1450, 2834, 10316, 10640, 16, 9903, 289, 14729, 31991, 507, 18, 2876, 1314, 19518, 9280, 30221, 329, 7269, 14891, 910, 510, 12002, 722, 7190, 18, 46430, 1051, 289, 14824, 24136, 478, 272, 12075, 1920, 289, 322, 29483, 11839, 13900, 4612, 470, 294, 23534, 16, 961, 23140, 30927, 16, 367, 1038, 478, 404, 5078, 312, 12703, 470, 27334, 7032, 722, 5169, 289, 478, 22251, 4417, 36333, 861, 478, 15229, 665, 21489, 1855, 26501, 8037, 16, 26780, 2666, 6730, 16, 27693, 478, 13182, 1465, 309, 437, 4163, 470, 289, 29483, 8641, 478, 267, 19004, 2118, 470, 294, 5067, 16, 2332, 10355, 11791, 1798, 510, 2697, 1794, 441, 7357, 324, 910, 510, 9321, 47835, 17, 23390, 320, 41251, 1161, 7956, 18651, 3583, 18, 1253, 1038, 30357, 16, 374, 3860, 477, 25517, 322, 9124, 530, 16870, 935, 2567, 478, 4045, 4083, 470, 15447, 16, 428, 25971, 504, 14604, 289, 16974, 30026, 540, 1624, 289, 8765, 6818, 16, 374, 282, 1750, 16349, 25801, 5941, 16, 7193, 41251, 1161, 3253, 6384, 847, 349, 24128, 3195, 18, 740, 726, 282, 9937, 7760, 18651, 3583, 40623, 6584, 8495, 18, 478, 4182, 656, 726, 5780, 16, 32070, 2826, 3164 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7345, 382, 656, 322, 30198, 18, 11561, 4248, 350, 492, 1320, 322, 5185, 16, 6653, 322, 14843, 16, 367, 282, 12462, 309, 2570, 8340, 22178, 322, 36867, 18, 510, 1397, 16, 289, 478, 29464, 11764, 470, 322, 1283, 1166, 35, 510, 12391, 13364, 22974, 6873, 884, 18, 510, 629, 5113, 4285, 687, 309, 27245, 22178, 16, 784, 4772, 541, 978, 6040, 16, 510, 11466, 937, 2159, 35655, 2624, 294, 1511, 12231, 4842, 7223, 1789, 46060, 18, 365, 322, 1037, 763, 31407, 21717, 271, 519, 3915, 48153, 46551, 18, 1658, 3612, 519, 1047, 10465, 418, 10065, 8811, 3594, 6905, 3623, 473, 1140, 563, 983, 934, 367, 1533, 3612, 1789, 46060, 281, 42606, 11930, 282, 7522, 18, 365, 4698, 3678, 492, 20356, 281, 47439, 289, 13875, 351, 11800, 381, 15369, 7025, 18, 2320, 45603, 5869, 510, 478, 560, 24963, 986, 910, 24070, 8501, 11675, 548, 567, 12241, 3277, 16238, 294, 6619, 18, 1912, 3612, 1789, 46060, 20713, 5053, 309, 27108, 18, 478, 1358, 3027, 27267, 16, 374, 322, 38079, 34037, 7194, 8150, 16, 21500, 11540, 7280, 910, 510, 34102, 18804, 26900, 10823, 18, 640, 5542, 465, 1815, 1247, 20256, 492, 2715, 16, 374, 322, 26136, 1263, 290, 14565, 4840, 43301, 16021, 16, 1029, 12002, 5104, 289, 37797, 30979, 18, 510, 817, 473, 42666, 17108, 510, 478, 18386, 18, 8381, 9979, 14658, 282, 13305, 18, 1178, 373, 322, 36835, 16, 1329, 978, 373, 322, 639, 16, 510, 1789, 46060, 41696, 5362, 3049, 5129, 16, 282, 2114, 9677, 505, 5590, 16, 4411, 289, 3809, 18, 510, 1178, 373, 387, 18474, 44701, 289, 478, 1602, 1853, 3961, 910, 1320, 1329, 373, 322, 639, 16, 510, 3973, 16044, 18, 817, 13744, 16, 374, 18100, 1527, 13731, 15343, 3058, 281, 8337, 434, 19128, 334, 1156, 2634, 2791, 43301, 16021, 289, 23582, 2634, 2791, 349, 11608, 309, 17924, 10145, 3992, 30979, 289, 35938, 18, 17878, 19418, 567, 12241, 322, 6498, 26873, 1789, 272, 3854, 18, 985, 19988, 16, 282, 9937, 22974, 3696, 341, 16, 5608, 15857, 16, 334, 722, 4734, 16, 23191, 26900, 10823, 18, 6729, 2110, 3017, 16, 5564, 5171, 1789, 20788, 392, 16, 510, 1760, 986, 17703, 8124, 18, 2, 1, 87, 1456, 81, 2448, 30, 14842, 420, 1159, 1614, 14976, 41251, 11118, 7924, 4030, 294, 6561, 552, 3020, 2209, 38037, 17203, 1011, 924, 16, 428, 678, 906, 4773, 2773, 282, 33027, 1066, 2059, 411, 25350, 2224, 742, 281, 38010, 979, 424, 1225, 394, 16, 13120, 282, 5792, 18, 7909, 28174, 7190, 9631, 10226, 17245, 34991, 49405, 477, 6173, 478, 36635, 7908, 764, 3111, 861, 740, 2512, 47835, 17, 23390, 320, 41251, 1161, 7956, 18651, 3583, 26851, 16, 374, 5296, 40994, 478, 1079, 9500, 647, 861, 31224, 30, 14842, 420, 1159, 1614, 14976, 41251, 11118, 16, 1586, 906, 4773, 2773, 282, 33027, 1066, 2059, 411, 25350, 676, 2543, 16, 7924, 4030, 294, 6561, 552, 3020, 2209, 38037, 17203, 16, 3110, 472, 5437, 17565, 18, 6019, 290, 970, 16, 374, 30927, 906, 24214, 8087, 411, 17, 431, 11897, 19730, 282, 4829, 289, 424, 1225, 394, 7134, 2287, 3990, 16, 2686, 21719, 9631, 10226, 4137, 47557, 1388, 1655, 8566, 9099, 10744, 478, 296, 402, 304, 861, 478, 3096, 2060, 16, 988, 387, 2388, 7036, 2108, 464, 18, 1303, 1904, 16, 475, 282, 4666, 910, 510, 1109, 47557, 1388, 9577, 1918, 478, 46911, 861, 2333, 5770, 6946, 3424, 3438, 6519, 282, 5792, 8862, 16, 492, 322, 685, 4116, 14441, 928, 289, 2055, 271, 709, 309, 4371, 16, 1586, 906, 30733, 282, 17292, 584, 419, 844, 482, 40994, 18, 478, 6014, 420, 3325, 16, 417, 322, 30456, 4302, 15841, 18, 23384, 3251, 668, 4371, 309, 3338, 19616, 16, 282, 584, 419, 844, 482, 670, 988, 17, 299, 764, 18, 7858, 1314, 1337, 10919, 1329, 322, 840, 18, 5257, 374, 1055, 7908, 764, 3111, 910, 510, 9299, 492, 18, 47557, 1388, 1038, 4725, 16, 374, 478, 39943, 322, 4243, 910, 367, 282, 1078, 309, 5542, 465, 1733, 3586, 2815, 16, 374, 478, 26707, 408, 15841, 322, 14522, 861, 478, 9256, 18, 2787, 912, 16, 322, 502, 912, 18, 1012, 28195, 16, 374, 5387, 18, 629, 4302, 15841, 322, 14522, 910, 510, 1109, 21719, 41251, 1161, 18, 640, 5421, 1119, 1011, 11769, 13267, 290, 10072, 10414, 40994, 282, 722, 17292, 584, 419, 844, 482, 639, 28744, 14255, 7620, 3781, 17, 14130, 16, 988, 8297, 862, 5849, 5247, 19887, 31344, 18, 478, 672, 841, 34988, 2252, 536, 349, 17953, 339, 282, 10276, 1165, 12652, 434, 11338, 16, 282, 2114, 678, 11660, 3455, 16, 19518, 7312, 13094, 30221, 9593, 282, 2059, 411, 2224, 742, 4534, 18, 985, 3665, 16, 1293, 986, 2158, 329, 44290, 11095, 8087, 4674, 844, 18, 2502, 6726, 978, 8265, 678, 734, 1496, 645, 315, 10008, 910, 510, 17930, 282, 17292, 9907, 18, 967, 803, 42416, 16, 374, 9631, 11287, 7852, 1909, 309, 41859, 329, 14818, 12546, 282, 23522, 289, 21980, 12606, 2159, 8884, 282, 2630, 281, 36933, 21294, 18, 365, 3106, 9080, 24176, 31344, 41251, 1161, 282, 1175, 906, 40569, 15929, 29557, 3561, 18, 478, 17603, 16, 1011, 7658, 15570, 47052, 16, 20474, 282, 3198, 24033, 42326, 473, 265, 515, 1443, 23575, 523, 13, 19518, 13317, 282, 15867, 6018, 622, 510, 678, 16280, 332, 8850, 18, 365, 3198, 1450, 2834, 10316, 10640, 16, 9903, 289, 14729, 31991, 507, 18, 2876, 1314, 19518, 9280, 30221, 329, 7269, 14891, 910, 510, 12002, 722, 7190, 18, 46430, 1051, 289, 14824, 24136, 478, 272, 12075, 1920, 289, 322, 29483, 11839, 13900, 4612, 470, 294, 23534, 16, 961, 23140, 30927, 16, 367, 1038, 478, 404, 5078, 312, 12703, 470, 27334, 7032, 722, 5169, 289, 478, 22251, 4417, 36333, 861, 478, 15229, 665, 21489, 1855, 26501, 8037, 16, 26780, 2666, 6730, 16, 27693, 478, 13182, 1465, 309, 437, 4163, 470, 289, 29483, 8641, 478, 267, 19004, 2118, 470, 294, 5067, 16, 2332, 10355, 11791, 1798, 510, 2697, 1794, 441, 7357, 324, 910, 510, 9321, 47835, 17, 23390, 320, 41251, 1161, 7956, 18651, 3583, 18, 1253, 1038, 30357, 16, 374, 3860, 477, 25517, 322, 9124, 530, 16870, 935, 2567, 478, 4045, 4083, 470, 15447, 16, 428, 25971, 504, 14604, 289, 16974, 30026, 540, 1624, 289, 8765, 6818, 16, 374, 282, 1750, 16349, 25801, 5941, 16, 7193, 41251, 1161, 3253, 6384, 847, 349, 24128, 3195, 18, 740, 726, 282, 9937, 7760, 18651, 3583, 40623, 6584, 8495, 18, 478, 4182, 656, 726, 5780, 16, 32070, 2826, 3164 ]
[ 282, 14154, 18, 31186, 2504, 322, 757, 8695, 16, 374, 481, 7391, 305, 4116, 14440, 6101, 16, 1548, 374, 371, 3892, 2431, 282, 40618, 322, 639, 4284, 541, 19872, 2913, 891, 18, 740, 5272, 678, 4893, 10765, 965, 4702, 18, 2667, 4319, 1326, 5296, 30081, 428, 24281, 910, 510, 9321, 18651, 3583, 18, 478, 4348, 939, 5464, 2484, 349, 1710, 18, 459, 11843, 16, 753, 475, 481, 21082, 289, 1904, 21583, 18, 2326, 3493, 2710, 17, 299, 19902, 276, 417, 322, 21943, 289, 322, 3478, 18, 1367, 803, 656, 1629, 406, 1514, 799, 1058, 5368, 1011, 7358, 21858, 3352, 360, 16801, 5856, 1438, 2632, 18, 36450, 2059, 411, 25350, 2224, 742, 1314, 15373, 722, 846, 6726, 18, 4280, 448, 16, 6956, 16, 23377, 1749, 16, 475, 656, 22196, 4633, 687, 3348, 17, 4366, 1614, 426, 289, 428, 942, 6847, 722, 16104, 9587, 18, 1345, 1320, 16, 428, 289, 475, 387, 16, 939, 722, 3898, 18, 459, 50089, 1450, 20749, 1081, 24098, 917, 910, 510, 18585, 1856, 2016, 40994, 18, 415, 970, 16, 374, 678, 1215, 726, 7109, 986, 24798, 360, 424, 1225, 394, 16, 41251, 401, 26003, 10703, 282, 9212, 18505, 3138, 5881, 12084, 478, 563, 1296, 807, 1631, 861, 365, 20175, 281, 37519, 30927, 24989, 16, 374, 475, 870, 3142, 3097, 1909, 1423, 12989, 18, 1870, 345, 11287, 1038, 9321, 16, 374, 9402, 8037, 2756, 12674, 3626, 6760, 3384, 15849, 18, 824, 722, 3163, 16, 30642, 548, 322, 371, 675, 751, 289, 18474, 18451, 468, 4829, 16, 2486, 13748, 294, 3038, 272, 34994, 289, 424, 1225, 298, 18, 478, 37182, 322, 3005, 3670, 16, 374, 477, 2924, 16, 453, 428, 282, 8732, 7353, 7182, 2733, 24399, 467, 18, 20905, 844, 510, 12989, 43666, 18, 18346, 10605, 16, 374, 282, 3212, 1354, 7134, 10718, 8876, 16, 961, 7737, 784, 4366, 910, 510, 2323, 13036, 16, 5923, 478, 677, 13987, 17565, 861, 824, 3163, 9631, 10226, 16, 411, 17, 431, 29302, 4096, 678, 906, 25791, 6886, 1248, 1817, 17521, 12517, 334, 5280, 954, 29995, 2499, 1161, 5636, 18, 41251, 401, 1038, 17859, 294, 8941, 26935, 289, 19177, 15855, 10376, 16, 2394, 14242, 697, 478, 39943, 281, 1807, 322, 2240, 910, 289, 24989, 16, 374, 478, 38627, 1030, 540, 289, 322, 13424, 1223, 910, 785, 8093, 309, 1574, 3321, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1184, 549, 22643, 2756, 26109, 2422, 2496, 2496, 10514, 432, 3541, 473, 404, 11716, 1939, 986, 814, 365, 23376, 37501, 14210, 873, 16, 12699, 275, 7631, 360, 14248, 282, 23975, 808, 16, 7166, 1166, 8955, 329, 34206, 282, 12356, 2555, 1879, 18, 31224, 30, 677, 22707, 17621, 31089, 10514, 451, 16628, 2422, 473, 12833, 32462, 322, 11716, 1939, 986, 814, 5661, 589, 1305, 2756, 20925, 22643, 16, 1684, 25474, 1712, 282, 23376, 32856, 1051, 411, 34206, 1472, 282, 27283, 808, 18, 3863, 10645, 1559, 2845, 1116, 541, 37501, 14210, 680, 4966, 309, 10514, 547, 5066, 18, 5333, 2175, 16, 37185, 4607, 334, 20919, 2566, 309, 4027, 2662, 2422, 2462, 2251, 5629, 516, 8616, 18, 459, 27273, 873, 16, 289, 28638, 873, 9621, 925, 3455, 282, 23376, 18, 13191, 4966, 18397, 10258, 29536, 516, 9388, 306, 30, 282, 1634, 424, 14776, 10375, 745, 8074, 326, 334, 3103, 12994, 16, 537, 7633, 322, 329, 22603, 309, 803, 10649, 18, 967, 803, 28638, 873, 7737, 6863, 411, 3463, 16, 29575, 743, 371, 803, 18823, 48909, 1063, 16, 1494, 5928, 50179, 32920, 1875, 4868, 2496, 13963, 473, 660, 13288, 10229, 16, 374, 329, 570, 2880, 873, 5548, 14725, 282, 23376, 20313, 718, 34581, 12169, 814, 32312, 14210, 873, 16, 282, 6031, 16, 282, 1360, 8933, 2458, 33560, 16, 329, 22603, 18326, 1756, 935, 21663, 47842, 5, 4950, 2023, 16, 374, 1033, 39372, 16627, 4786, 16, 988, 27273, 873, 16, 38800, 281, 9320, 10377, 16, 29705, 3851, 289, 2871, 2340, 355, 16, 1472, 334, 445, 2827, 42875, 29575, 925, 21646, 1275, 18, 30726, 49163, 3971, 294, 5251, 1918, 7739, 1157, 6984, 282, 22979, 17, 21131, 18, 365, 430, 19, 24, 21451, 27273, 873, 1472, 282, 7756, 37811, 19121, 538, 18823, 11254, 16, 367, 28638, 873, 16, 1038, 334, 8872, 7756, 2287, 17, 9150, 770, 651, 24855, 392, 18, 385, 7077, 12248, 12932, 473, 22, 30, 20, 13, 282, 23708, 962, 5487, 19121, 538, 18050, 454, 16, 367, 43655, 651, 18823, 5670, 18, 1178, 3111, 290, 9536, 292, 5251, 20994, 16, 502, 329, 22643, 3716, 475, 42222, 23054, 1642, 349, 10244, 687, 24900, 837, 2839, 48744, 1068, 262, 16, 1029, 282, 5017, 11290, 11258, 11757, 811, 282, 5271, 681, 1822, 718, 478, 4580, 3850, 861, 6735, 1757, 12968, 620, 4966, 16, 428, 289, 1223, 14452, 1559, 39914, 478, 23739, 17, 12775, 272, 1528, 470, 5691, 10132, 16, 16118, 8440, 526, 428, 445, 3641, 505, 10434, 46909, 28994, 1275, 18, 3791, 282, 5271, 27273, 1275, 16004, 450, 11899, 289, 5987, 1394, 262, 16, 515, 16, 9121, 16, 481, 13284, 322, 8851, 39207, 14118, 289, 17659, 451, 39914, 16838, 6374, 17, 292, 18, 1397, 5327, 28638, 1275, 16, 502, 329, 1129, 12916, 12968, 620, 1559, 32124, 10162, 7586, 478, 672, 562, 897, 11900, 1532, 287, 470, 46817, 2612, 415, 3431, 355, 287, 16, 3018, 309, 2024, 17845, 478, 36578, 791, 582, 861, 365, 6588, 360, 5691, 10132, 16, 46817, 34569, 3225, 2401, 5873, 282, 23376, 16, 1763, 743, 282, 23975, 808, 18, 2667, 978, 575, 19543, 1505, 19650, 37185, 350, 718, 7561, 2422, 21536, 414, 28994, 873, 16, 1639, 322, 6084, 2022, 40259, 1545, 21603, 774, 360, 32739, 651, 7190, 20130, 11908, 282, 1078, 45468, 1421, 18, 832, 26008, 749, 6853, 6077, 1593, 289, 282, 23376, 18, 640, 35271, 20537, 2948, 6844, 22335, 364, 1577, 46393, 16, 5076, 971, 25093, 639, 1852, 28383, 7977, 18, 33424, 10336, 3033, 478, 4580, 8938, 357, 34158, 470, 49692, 4965, 22419, 883, 5335, 477, 10556, 434, 16, 294, 5076, 774, 34544, 28638, 1275, 4167, 322, 2259, 18, 4530, 11887, 16, 1177, 11216, 1559, 5216, 541, 20144, 4966, 40259, 3250, 1011, 7518, 9691, 16, 1537, 26779, 432, 28638, 2855, 478, 324, 28403, 861, 2046, 6396, 2846, 7130, 26042, 274, 8782, 844, 701, 651, 1761, 2076, 2345, 4674, 1616, 5691, 10132, 18, 4852, 7130, 27273, 873, 16, 961, 4502, 2919, 282, 803, 8267, 49338, 2389, 16, 2401, 9528, 3424, 16, 515, 13205, 16044, 774, 322, 3882, 14760, 18, 3747, 309, 810, 8803, 639, 4750, 16, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 14154, 18, 31186, 2504, 322, 757, 8695, 16, 374, 481, 7391, 305, 4116, 14440, 6101, 16, 1548, 374, 371, 3892, 2431, 282, 40618, 322, 639, 4284, 541, 19872, 2913, 891, 18, 740, 5272, 678, 4893, 10765, 965, 4702, 18, 2667, 4319, 1326, 5296, 30081, 428, 24281, 910, 510, 9321, 18651, 3583, 18, 478, 4348, 939, 5464, 2484, 349, 1710, 18, 459, 11843, 16, 753, 475, 481, 21082, 289, 1904, 21583, 18, 2326, 3493, 2710, 17, 299, 19902, 276, 417, 322, 21943, 289, 322, 3478, 18, 1367, 803, 656, 1629, 406, 1514, 799, 1058, 5368, 1011, 7358, 21858, 3352, 360, 16801, 5856, 1438, 2632, 18, 36450, 2059, 411, 25350, 2224, 742, 1314, 15373, 722, 846, 6726, 18, 4280, 448, 16, 6956, 16, 23377, 1749, 16, 475, 656, 22196, 4633, 687, 3348, 17, 4366, 1614, 426, 289, 428, 942, 6847, 722, 16104, 9587, 18, 1345, 1320, 16, 428, 289, 475, 387, 16, 939, 722, 3898, 18, 459, 50089, 1450, 20749, 1081, 24098, 917, 910, 510, 18585, 1856, 2016, 40994, 18, 415, 970, 16, 374, 678, 1215, 726, 7109, 986, 24798, 360, 424, 1225, 394, 16, 41251, 401, 26003, 10703, 282, 9212, 18505, 3138, 5881, 12084, 478, 563, 1296, 807, 1631, 861, 365, 20175, 281, 37519, 30927, 24989, 16, 374, 475, 870, 3142, 3097, 1909, 1423, 12989, 18, 1870, 345, 11287, 1038, 9321, 16, 374, 9402, 8037, 2756, 12674, 3626, 6760, 3384, 15849, 18, 824, 722, 3163, 16, 30642, 548, 322, 371, 675, 751, 289, 18474, 18451, 468, 4829, 16, 2486, 13748, 294, 3038, 272, 34994, 289, 424, 1225, 298, 18, 478, 37182, 322, 3005, 3670, 16, 374, 477, 2924, 16, 453, 428, 282, 8732, 7353, 7182, 2733, 24399, 467, 18, 20905, 844, 510, 12989, 43666, 18, 18346, 10605, 16, 374, 282, 3212, 1354, 7134, 10718, 8876, 16, 961, 7737, 784, 4366, 910, 510, 2323, 13036, 16, 5923, 478, 677, 13987, 17565, 861, 824, 3163, 9631, 10226, 16, 411, 17, 431, 29302, 4096, 678, 906, 25791, 6886, 1248, 1817, 17521, 12517, 334, 5280, 954, 29995, 2499, 1161, 5636, 18, 41251, 401, 1038, 17859, 294, 8941, 26935, 289, 19177, 15855, 10376, 16, 2394, 14242, 697, 478, 39943, 281, 1807, 322, 2240, 910, 289, 24989, 16, 374, 478, 38627, 1030, 540, 289, 322, 13424, 1223, 910, 785, 8093, 309, 1574, 3321, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1184, 549, 22643, 2756, 26109, 2422, 2496, 2496, 10514, 432, 3541, 473, 404, 11716, 1939, 986, 814, 365, 23376, 37501, 14210, 873, 16, 12699, 275, 7631, 360, 14248, 282, 23975, 808, 16, 7166, 1166, 8955, 329, 34206, 282, 12356, 2555, 1879, 18, 31224, 30, 677, 22707, 17621, 31089, 10514, 451, 16628, 2422, 473, 12833, 32462, 322, 11716, 1939, 986, 814, 5661, 589, 1305, 2756, 20925, 22643, 16, 1684, 25474, 1712, 282, 23376, 32856, 1051, 411, 34206, 1472, 282, 27283, 808, 18, 3863, 10645, 1559, 2845, 1116, 541, 37501, 14210, 680, 4966, 309, 10514, 547, 5066, 18, 5333, 2175, 16, 37185, 4607, 334, 20919, 2566, 309, 4027, 2662, 2422, 2462, 2251, 5629, 516, 8616, 18, 459, 27273, 873, 16, 289, 28638, 873, 9621, 925, 3455, 282, 23376, 18, 13191, 4966, 18397, 10258, 29536, 516, 9388, 306, 30, 282, 1634, 424, 14776, 10375, 745, 8074, 326, 334, 3103, 12994, 16, 537, 7633, 322, 329, 22603, 309, 803, 10649, 18, 967, 803, 28638, 873, 7737, 6863, 411, 3463, 16, 29575, 743, 371, 803, 18823, 48909, 1063, 16, 1494, 5928, 50179, 32920, 1875, 4868, 2496, 13963, 473, 660, 13288, 10229, 16, 374, 329, 570, 2880, 873, 5548, 14725, 282, 23376, 20313, 718, 34581, 12169, 814, 32312, 14210, 873, 16, 282, 6031, 16, 282, 1360, 8933, 2458, 33560, 16, 329, 22603, 18326, 1756, 935, 21663, 47842, 5, 4950, 2023, 16, 374, 1033, 39372, 16627, 4786, 16, 988, 27273, 873, 16, 38800, 281, 9320, 10377, 16, 29705, 3851, 289, 2871, 2340, 355, 16, 1472, 334, 445, 2827, 42875, 29575, 925, 21646, 1275, 18, 30726, 49163, 3971, 294, 5251, 1918, 7739, 1157, 6984, 282, 22979, 17, 21131, 18, 365, 430, 19, 24, 21451, 27273, 873, 1472, 282, 7756, 37811, 19121, 538, 18823, 11254, 16, 367, 28638, 873, 16, 1038, 334, 8872, 7756, 2287, 17, 9150, 770, 651, 24855, 392, 18, 385, 7077, 12248, 12932, 473, 22, 30, 20, 13, 282, 23708, 962, 5487, 19121, 538, 18050, 454, 16, 367, 43655, 651, 18823, 5670, 18, 1178, 3111, 290, 9536, 292, 5251, 20994, 16, 502, 329, 22643, 3716, 475, 42222, 23054, 1642, 349, 10244, 687, 24900, 837, 2839, 48744, 1068, 262, 16, 1029, 282, 5017, 11290, 11258, 11757, 811, 282, 5271, 681, 1822, 718, 478, 4580, 3850, 861, 6735, 1757, 12968, 620, 4966, 16, 428, 289, 1223, 14452, 1559, 39914, 478, 23739, 17, 12775, 272, 1528, 470, 5691, 10132, 16, 16118, 8440, 526, 428, 445, 3641, 505, 10434, 46909, 28994, 1275, 18, 3791, 282, 5271, 27273, 1275, 16004, 450, 11899, 289, 5987, 1394, 262, 16, 515, 16, 9121, 16, 481, 13284, 322, 8851, 39207, 14118, 289, 17659, 451, 39914, 16838, 6374, 17, 292, 18, 1397, 5327, 28638, 1275, 16, 502, 329, 1129, 12916, 12968, 620, 1559, 32124, 10162, 7586, 478, 672, 562, 897, 11900, 1532, 287, 470, 46817, 2612, 415, 3431, 355, 287, 16, 3018, 309, 2024, 17845, 478, 36578, 791, 582, 861, 365, 6588, 360, 5691, 10132, 16, 46817, 34569, 3225, 2401, 5873, 282, 23376, 16, 1763, 743, 282, 23975, 808, 18, 2667, 978, 575, 19543, 1505, 19650, 37185, 350, 718, 7561, 2422, 21536, 414, 28994, 873, 16, 1639, 322, 6084, 2022, 40259, 1545, 21603, 774, 360, 32739, 651, 7190, 20130, 11908, 282, 1078, 45468, 1421, 18, 832, 26008, 749, 6853, 6077, 1593, 289, 282, 23376, 18, 640, 35271, 20537, 2948, 6844, 22335, 364, 1577, 46393, 16, 5076, 971, 25093, 639, 1852, 28383, 7977, 18, 33424, 10336, 3033, 478, 4580, 8938, 357, 34158, 470, 49692, 4965, 22419, 883, 5335, 477, 10556, 434, 16, 294, 5076, 774, 34544, 28638, 1275, 4167, 322, 2259, 18, 4530, 11887, 16, 1177, 11216, 1559, 5216, 541, 20144, 4966, 40259, 3250, 1011, 7518, 9691, 16, 1537, 26779, 432, 28638, 2855, 478, 324, 28403, 861, 2046, 6396, 2846, 7130, 26042, 274, 8782, 844, 701, 651, 1761, 2076, 2345, 4674, 1616, 5691, 10132, 18, 4852, 7130, 27273, 873, 16, 961, 4502, 2919, 282, 803, 8267, 49338, 2389, 16, 2401, 9528, 3424, 16, 515, 13205, 16044, 774, 322, 3882, 14760, 18, 3747, 309, 810, 8803, 639, 4750, 16, 374 ]
[ 11216, 475, 17, 2767, 20240, 13696, 7889, 18, 7249, 309, 1500, 2837, 16432, 37501, 14210, 1275, 282, 5572, 44056, 16, 2948, 519, 21842, 322, 20951, 18, 1665, 367, 567, 7422, 44056, 1500, 575, 5691, 10132, 23497, 1360, 10434, 17217, 309, 14007, 662, 16, 785, 975, 49692, 37700, 5335, 281, 45817, 19002, 18, 2046, 4652, 349, 1533, 1879, 519, 3915, 18112, 1612, 46393, 1011, 396, 881, 332, 450, 11899, 19284, 10927, 282, 290, 551, 6189, 277, 18, 365, 27283, 808, 7653, 9700, 41701, 46296, 329, 28638, 1275, 1241, 12136, 392, 30, 39914, 322, 7243, 1475, 2019, 1176, 309, 1176, 18, 5191, 604, 300, 21755, 349, 1574, 16718, 24055, 3359, 9700, 46393, 2200, 40921, 17192, 18, 15422, 696, 873, 17670, 414, 8955, 16, 14361, 16, 2733, 2175, 16, 449, 1736, 301, 329, 28638, 1275, 349, 23356, 1939, 17, 17827, 28017, 16, 785, 4789, 873, 35293, 334, 37811, 18, 6019, 12672, 18569, 942, 4897, 309, 7759, 33450, 6190, 43535, 1042, 1492, 2, 1, 87, 1456, 81, 2448, 30, 48444, 1398, 3219, 20159, 7872, 4729, 25215, 1783, 267, 4330, 895, 953, 2961, 12720, 281, 6374, 4017, 19, 283, 519, 13435, 289, 22839, 4017, 19, 283, 18, 36266, 2678, 1314, 38435, 22200, 289, 478, 46041, 13936, 861, 5890, 282, 803, 1045, 3655, 2493, 5785, 3672, 1698, 15333, 309, 1658, 3572, 19453, 3512, 18, 31224, 30, 1009, 262, 1212, 5581, 478, 17561, 1133, 5554, 448, 5520, 470, 473, 40364, 478, 46041, 13936, 9979, 27866, 281, 23579, 18787, 9823, 3219, 30690, 7872, 4202, 334, 2493, 10386, 34526, 519, 13435, 4017, 19, 283, 16, 367, 334, 14627, 37929, 510, 519, 22839, 4017, 19, 283, 18, 3568, 291, 14131, 22083, 8481, 2869, 322, 39310, 16, 367, 1472, 309, 4335, 24258, 44299, 5856, 25215, 49906, 16, 988, 541, 978, 912, 9980, 2644, 18, 25582, 24675, 36611, 44460, 16, 5063, 3626, 282, 12354, 11525, 779, 16, 20165, 43227, 7872, 4202, 1493, 7492, 8974, 334, 47595, 519, 22651, 4017, 19, 283, 16, 367, 334, 2493, 10386, 34526, 510, 519, 6374, 4017, 19, 283, 18, 4794, 7713, 7134, 764, 567, 6477, 3875, 289, 281, 1110, 1326, 12378, 18599, 758, 18, 365, 478, 11636, 38489, 4642, 910, 1029, 10008, 21672, 282, 1175, 2926, 2493, 7126, 3512, 15046, 7713, 16, 6881, 16, 374, 9721, 808, 18894, 5836, 282, 11299, 1533, 18, 23, 44460, 16, 1029, 5327, 9456, 4202, 18, 9712, 1212, 5581, 3957, 726, 282, 803, 1045, 15333, 309, 4335, 24258, 3437, 25215, 49906, 3655, 2493, 5785, 3672, 18, 365, 4810, 16, 478, 46041, 13936, 470, 8123, 13342, 43227, 7872, 309, 1912, 17, 32592, 27282, 304, 13157, 25522, 421, 17, 21, 478, 983, 555, 344, 357, 470, 473, 7536, 384, 6427, 4017, 13, 281, 6374, 519, 13435, 4017, 19, 283, 18, 29957, 2234, 3672, 3785, 5404, 373, 15333, 309, 15593, 17, 32592, 27282, 304, 13157, 421, 17, 23, 478, 23441, 470, 473, 2479, 27, 384, 3420, 23, 4017, 934, 367, 1038, 309, 7518, 24258, 25522, 421, 17, 24, 478, 26181, 861, 3739, 309, 3709, 13157, 421, 17, 24, 510, 281, 3695, 17, 361, 334, 1912, 21, 17, 295, 4017, 510, 22083, 13342, 9823, 3219, 30690, 7872, 281, 28986, 22651, 4017, 19, 283, 519, 22839, 4017, 19, 283, 18, 3739, 1143, 2567, 15802, 3785, 15069, 9287, 282, 3178, 3734, 384, 2225, 29, 5521, 18, 2949, 924, 16, 334, 11346, 2987, 478, 11636, 38489, 1891, 910, 3655, 2493, 5785, 3672, 1943, 953, 34950, 309, 1514, 7266, 4676, 1718, 26958, 5209, 416, 25522, 421, 17, 3572, 5343, 510, 5579, 17, 9400, 16, 367, 1038, 309, 1949, 24258, 20130, 5746, 21812, 30877, 801, 473, 3127, 6308, 822, 934, 7955, 1754, 39700, 309, 2801, 1205, 18, 365, 7343, 11035, 1230, 1212, 5581, 8123, 15333, 3655, 2493, 5785, 3672, 309, 24258, 16, 37587, 1330, 39267, 24, 4017, 16, 411, 1129, 1658, 3572, 4017, 510, 726, 282, 803, 1045, 18, 478, 6039, 870, 17435, 6535, 282, 5200, 9556, 15016, 18617, 18, 9398, 17, 299, 411, 1129, 726, 30244, 670, 44299, 6025, 16, 367, 2710, 17, 299, 764, 1003, 16, 510, 4848, 478, 46088, 18, 8381, 470, 7897, 282, 18930, 478, 46041, 13936, 861, 510, 1345, 11843, 18787, 7872, 16, 3229, 1223, 1122, 16, 988, 7581, 5520, 11450, 1514, 17909, 29075, 861, 824, 3163, 21961, 16, 2496, 3471, 4486, 15802, 1747, 289, 5209, 448, 16, 289, 36048, 510, 567, 20840, 19002, 840, 594, 7880, 33458, 5296, 5520, 16, 367, 322, 1247, 13311, 18, 478, 4348, 43667, 21672, 1717, 2493, 7126, 3512, 18, 459, 1851, 5667, 8219, 1855, 282, 13888, 1066, 289, 7955, 43477, 16, 753, 309, 20228, 3604, 1574, 575, 2493, 5785, 3672, 16, 428, 289, 309, 22908, 2992, 17, 21174, 355, 9044, 910, 510, 4725, 18290, 18, 1937, 1717, 6750, 530, 282, 3941, 3531, 9427, 6773, 510, 1055, 42031, 18, 365, 478, 11636, 38489, 4642, 470, 4660, 2625, 16, 374, 726, 282, 803, 1045, 18, 3739, 282, 11366, 5037, 2241, 4210, 42581, 10925, 10799, 478, 46088, 18, 8381, 910, 374, 27767, 20321, 5439, 895, 953, 7239, 282, 3240, 10264, 808, 18, 2046, 47632, 28261, 537, 282, 478, 11636, 38489, 4642, 910, 537, 282, 22200, 1055, 322, 7788, 18, 478, 4348, 10258, 30221, 49906, 289, 5019, 12784, 16743, 16, 988, 942, 34817, 18787, 7872, 4202, 16, 510, 7299, 478, 46088, 18, 8381, 470, 282, 22200, 1175, 18, 510, 365, 7623, 2083, 14909, 2493, 7385, 4202, 42449, 281, 1230, 1212, 513, 5885, 478, 46041, 13936, 910, 349, 1754, 11757, 2626, 870, 25522, 861, 365, 22200, 371, 803, 48484, 16, 374, 282, 803, 1045, 1698, 953, 2961, 10197, 4487, 1924, 8961, 5782, 1472, 541, 9044, 478, 31288, 8340, 5520, 470, 510, 281, 6374, 519, 22651, 4017, 19, 283, 18, 478, 46041, 13936, 470, 895, 35381, 9681, 13367, 16, 515, 541, 1033, 44354, 7782, 420, 1798, 473, 660, 13435, 384, 39775, 4017, 19, 283, 13, 1513, 43546, 1209, 47896, 36193, 289, 27767, 20321, 5439, 18, 365, 30882, 22792, 16, 5870, 417, 2060, 16, 1329, 2900, 322, 12350, 16, 334, 5833, 3538, 16, 4871, 43579, 3336, 1055, 322, 7316, 286, 910, 510, 5692, 18290, 282, 27246, 18, 4900, 30080, 4347, 7701, 8076, 478, 11636, 712, 303, 324, 470, 4137, 20076, 7960, 5273, 7059, 478, 11636, 38489, 1891, 470, 5638, 536, 18, 478, 6161, 7581, 3512, 11450, 13003, 28037, 16, 502, 15634, 45149, 8961, 1004, 309, 1939, 384, 3161, 4017, 19, 283, 840, 687, 309, 4356, 16, 510, 2815, 492, 478, 46088, 18, 8381, 861, 510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11216, 475, 17, 2767, 20240, 13696, 7889, 18, 7249, 309, 1500, 2837, 16432, 37501, 14210, 1275, 282, 5572, 44056, 16, 2948, 519, 21842, 322, 20951, 18, 1665, 367, 567, 7422, 44056, 1500, 575, 5691, 10132, 23497, 1360, 10434, 17217, 309, 14007, 662, 16, 785, 975, 49692, 37700, 5335, 281, 45817, 19002, 18, 2046, 4652, 349, 1533, 1879, 519, 3915, 18112, 1612, 46393, 1011, 396, 881, 332, 450, 11899, 19284, 10927, 282, 290, 551, 6189, 277, 18, 365, 27283, 808, 7653, 9700, 41701, 46296, 329, 28638, 1275, 1241, 12136, 392, 30, 39914, 322, 7243, 1475, 2019, 1176, 309, 1176, 18, 5191, 604, 300, 21755, 349, 1574, 16718, 24055, 3359, 9700, 46393, 2200, 40921, 17192, 18, 15422, 696, 873, 17670, 414, 8955, 16, 14361, 16, 2733, 2175, 16, 449, 1736, 301, 329, 28638, 1275, 349, 23356, 1939, 17, 17827, 28017, 16, 785, 4789, 873, 35293, 334, 37811, 18, 6019, 12672, 18569, 942, 4897, 309, 7759, 33450, 6190, 43535, 1042, 1492, 2, 1, 87, 1456, 81, 2448, 30, 48444, 1398, 3219, 20159, 7872, 4729, 25215, 1783, 267, 4330, 895, 953, 2961, 12720, 281, 6374, 4017, 19, 283, 519, 13435, 289, 22839, 4017, 19, 283, 18, 36266, 2678, 1314, 38435, 22200, 289, 478, 46041, 13936, 861, 5890, 282, 803, 1045, 3655, 2493, 5785, 3672, 1698, 15333, 309, 1658, 3572, 19453, 3512, 18, 31224, 30, 1009, 262, 1212, 5581, 478, 17561, 1133, 5554, 448, 5520, 470, 473, 40364, 478, 46041, 13936, 9979, 27866, 281, 23579, 18787, 9823, 3219, 30690, 7872, 4202, 334, 2493, 10386, 34526, 519, 13435, 4017, 19, 283, 16, 367, 334, 14627, 37929, 510, 519, 22839, 4017, 19, 283, 18, 3568, 291, 14131, 22083, 8481, 2869, 322, 39310, 16, 367, 1472, 309, 4335, 24258, 44299, 5856, 25215, 49906, 16, 988, 541, 978, 912, 9980, 2644, 18, 25582, 24675, 36611, 44460, 16, 5063, 3626, 282, 12354, 11525, 779, 16, 20165, 43227, 7872, 4202, 1493, 7492, 8974, 334, 47595, 519, 22651, 4017, 19, 283, 16, 367, 334, 2493, 10386, 34526, 510, 519, 6374, 4017, 19, 283, 18, 4794, 7713, 7134, 764, 567, 6477, 3875, 289, 281, 1110, 1326, 12378, 18599, 758, 18, 365, 478, 11636, 38489, 4642, 910, 1029, 10008, 21672, 282, 1175, 2926, 2493, 7126, 3512, 15046, 7713, 16, 6881, 16, 374, 9721, 808, 18894, 5836, 282, 11299, 1533, 18, 23, 44460, 16, 1029, 5327, 9456, 4202, 18, 9712, 1212, 5581, 3957, 726, 282, 803, 1045, 15333, 309, 4335, 24258, 3437, 25215, 49906, 3655, 2493, 5785, 3672, 18, 365, 4810, 16, 478, 46041, 13936, 470, 8123, 13342, 43227, 7872, 309, 1912, 17, 32592, 27282, 304, 13157, 25522, 421, 17, 21, 478, 983, 555, 344, 357, 470, 473, 7536, 384, 6427, 4017, 13, 281, 6374, 519, 13435, 4017, 19, 283, 18, 29957, 2234, 3672, 3785, 5404, 373, 15333, 309, 15593, 17, 32592, 27282, 304, 13157, 421, 17, 23, 478, 23441, 470, 473, 2479, 27, 384, 3420, 23, 4017, 934, 367, 1038, 309, 7518, 24258, 25522, 421, 17, 24, 478, 26181, 861, 3739, 309, 3709, 13157, 421, 17, 24, 510, 281, 3695, 17, 361, 334, 1912, 21, 17, 295, 4017, 510, 22083, 13342, 9823, 3219, 30690, 7872, 281, 28986, 22651, 4017, 19, 283, 519, 22839, 4017, 19, 283, 18, 3739, 1143, 2567, 15802, 3785, 15069, 9287, 282, 3178, 3734, 384, 2225, 29, 5521, 18, 2949, 924, 16, 334, 11346, 2987, 478, 11636, 38489, 1891, 910, 3655, 2493, 5785, 3672, 1943, 953, 34950, 309, 1514, 7266, 4676, 1718, 26958, 5209, 416, 25522, 421, 17, 3572, 5343, 510, 5579, 17, 9400, 16, 367, 1038, 309, 1949, 24258, 20130, 5746, 21812, 30877, 801, 473, 3127, 6308, 822, 934, 7955, 1754, 39700, 309, 2801, 1205, 18, 365, 7343, 11035, 1230, 1212, 5581, 8123, 15333, 3655, 2493, 5785, 3672, 309, 24258, 16, 37587, 1330, 39267, 24, 4017, 16, 411, 1129, 1658, 3572, 4017, 510, 726, 282, 803, 1045, 18, 478, 6039, 870, 17435, 6535, 282, 5200, 9556, 15016, 18617, 18, 9398, 17, 299, 411, 1129, 726, 30244, 670, 44299, 6025, 16, 367, 2710, 17, 299, 764, 1003, 16, 510, 4848, 478, 46088, 18, 8381, 470, 7897, 282, 18930, 478, 46041, 13936, 861, 510, 1345, 11843, 18787, 7872, 16, 3229, 1223, 1122, 16, 988, 7581, 5520, 11450, 1514, 17909, 29075, 861, 824, 3163, 21961, 16, 2496, 3471, 4486, 15802, 1747, 289, 5209, 448, 16, 289, 36048, 510, 567, 20840, 19002, 840, 594, 7880, 33458, 5296, 5520, 16, 367, 322, 1247, 13311, 18, 478, 4348, 43667, 21672, 1717, 2493, 7126, 3512, 18, 459, 1851, 5667, 8219, 1855, 282, 13888, 1066, 289, 7955, 43477, 16, 753, 309, 20228, 3604, 1574, 575, 2493, 5785, 3672, 16, 428, 289, 309, 22908, 2992, 17, 21174, 355, 9044, 910, 510, 4725, 18290, 18, 1937, 1717, 6750, 530, 282, 3941, 3531, 9427, 6773, 510, 1055, 42031, 18, 365, 478, 11636, 38489, 4642, 470, 4660, 2625, 16, 374, 726, 282, 803, 1045, 18, 3739, 282, 11366, 5037, 2241, 4210, 42581, 10925, 10799, 478, 46088, 18, 8381, 910, 374, 27767, 20321, 5439, 895, 953, 7239, 282, 3240, 10264, 808, 18, 2046, 47632, 28261, 537, 282, 478, 11636, 38489, 4642, 910, 537, 282, 22200, 1055, 322, 7788, 18, 478, 4348, 10258, 30221, 49906, 289, 5019, 12784, 16743, 16, 988, 942, 34817, 18787, 7872, 4202, 16, 510, 7299, 478, 46088, 18, 8381, 470, 282, 22200, 1175, 18, 510, 365, 7623, 2083, 14909, 2493, 7385, 4202, 42449, 281, 1230, 1212, 513, 5885, 478, 46041, 13936, 910, 349, 1754, 11757, 2626, 870, 25522, 861, 365, 22200, 371, 803, 48484, 16, 374, 282, 803, 1045, 1698, 953, 2961, 10197, 4487, 1924, 8961, 5782, 1472, 541, 9044, 478, 31288, 8340, 5520, 470, 510, 281, 6374, 519, 22651, 4017, 19, 283, 18, 478, 46041, 13936, 470, 895, 35381, 9681, 13367, 16, 515, 541, 1033, 44354, 7782, 420, 1798, 473, 660, 13435, 384, 39775, 4017, 19, 283, 13, 1513, 43546, 1209, 47896, 36193, 289, 27767, 20321, 5439, 18, 365, 30882, 22792, 16, 5870, 417, 2060, 16, 1329, 2900, 322, 12350, 16, 334, 5833, 3538, 16, 4871, 43579, 3336, 1055, 322, 7316, 286, 910, 510, 5692, 18290, 282, 27246, 18, 4900, 30080, 4347, 7701, 8076, 478, 11636, 712, 303, 324, 470, 4137, 20076, 7960, 5273, 7059, 478, 11636, 38489, 1891, 470, 5638, 536, 18, 478, 6161, 7581, 3512, 11450, 13003, 28037, 16, 502, 15634, 45149, 8961, 1004, 309, 1939, 384, 3161, 4017, 19, 283, 840, 687, 309, 4356, 16, 510, 2815, 492, 478, 46088, 18, 8381, 861, 510 ]
[ 1303, 3066, 1844, 22587, 12153, 475, 2944, 726, 45180, 281, 6245, 9594, 9456, 861, 824, 505, 4734, 16, 785, 39304, 14471, 371, 30894, 16, 334, 34526, 33070, 478, 1015, 1515, 2393, 4621, 910, 2391, 282, 4729, 6594, 697, 942, 8830, 18, 478, 1140, 4286, 16979, 14185, 39547, 7872, 18, 1782, 16, 1085, 45478, 424, 22839, 384, 27154, 4017, 19, 283, 16, 453, 289, 1747, 19108, 16, 2391, 1336, 1139, 2301, 13495, 1356, 2760, 6178, 282, 835, 4139, 4577, 16, 289, 39547, 7872, 282, 22839, 4017, 19, 283, 1623, 12334, 3276, 32614, 910, 510, 5692, 492, 18, 824, 4734, 34361, 16, 13367, 9823, 3219, 9439, 9456, 322, 6058, 3748, 8040, 6876, 12724, 309, 14576, 622, 18, 478, 618, 44145, 17700, 411, 17, 431, 15215, 432, 5348, 16979, 16, 367, 322, 411, 17, 431, 924, 16, 988, 1851, 2493, 5785, 3672, 12642, 18, 6682, 924, 16, 37417, 1441, 1747, 12259, 965, 6152, 33600, 16, 1548, 374, 322, 1513, 15765, 16, 374, 7108, 3438, 5229, 14331, 22200, 16, 10750, 756, 1779, 6245, 1979, 9456, 16, 27176, 505, 349, 2361, 1756, 18, 832, 1513, 840, 4893, 31053, 1855, 7872, 1188, 37564, 7923, 670, 5722, 3334, 16, 367, 2862, 16, 289, 11940, 281, 2184, 14576, 432, 21584, 840, 3440, 910, 510, 5273, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 822, 286, 551, 470, 749, 11090, 29656, 421, 22705, 401, 1642, 50253, 478, 983, 4476, 356, 861, 439, 5222, 478, 40176, 9058, 267, 470, 403, 16892, 18357, 2128, 35930, 309, 1728, 14674, 1392, 837, 8583, 686, 354, 768, 9698, 347, 18, 31224, 30, 677, 42889, 8267, 32671, 7561, 42361, 478, 822, 286, 551, 470, 1642, 50253, 478, 983, 4476, 356, 470, 477, 12932, 30137, 30, 7181, 473, 6568, 30, 5759, 16, 4039, 30, 6862, 16, 4518, 30, 2932, 16, 667, 30, 2932, 814, 24295, 1673, 6964, 17701, 40128, 31617, 1798, 282, 6940, 445, 322, 6181, 309, 12773, 781, 18, 365, 1335, 2630, 5425, 8097, 16, 374, 14450, 381, 7544, 263, 7179, 27398, 354, 322, 38214, 890, 467, 18, 824, 4734, 3725, 7987, 16, 975, 373, 9789, 6273, 282, 16109, 16, 988, 492, 1559, 373, 33531, 18, 365, 502, 575, 808, 16, 334, 3352, 4339, 8000, 22172, 1624, 282, 8460, 547, 17188, 478, 1098, 397, 17, 43469, 13461, 9058, 267, 910, 1029, 289, 453, 33144, 10372, 1775, 6477, 16, 11540, 30463, 18, 2839, 2356, 43282, 1251, 7668, 7784, 7586, 403, 16892, 18357, 17733, 289, 8460, 536, 1739, 23091, 3347, 8583, 686, 496, 768, 48890, 304, 18, 8859, 26058, 11540, 16, 3903, 373, 16, 282, 33915, 416, 17578, 651, 1188, 478, 27064, 1313, 8460, 861, 365, 43813, 582, 4966, 16101, 768, 48890, 12139, 4769, 18357, 3150, 16, 19578, 9731, 289, 2742, 1053, 5735, 1519, 1728, 14674, 1392, 837, 1188, 26696, 18, 4541, 282, 1743, 2302, 9528, 21188, 478, 1098, 397, 17, 43469, 10051, 293, 872, 267, 470, 510, 26060, 2227, 281, 21845, 635, 5000, 35060, 536, 16, 367, 1038, 5222, 478, 630, 2561, 3792, 276, 470, 42255, 12653, 13389, 1624, 7556, 4736, 2508, 30698, 503, 272, 18, 985, 3110, 7897, 10195, 16, 1011, 14574, 282, 43813, 454, 18357, 2128, 45434, 477, 5022, 16, 3235, 768, 9698, 347, 18, 478, 45065, 16929, 470, 510, 478, 30731, 742, 267, 470, 510, 26856, 30, 2479, 22, 473, 6091, 30, 8066, 16, 3436, 30, 6462, 16, 4016, 30, 6568, 16, 2706, 30, 2692, 13, 478, 563, 333, 287, 503, 299, 470, 510, 478, 23739, 17, 5853, 14712, 262, 470, 510, 35753, 30, 2479, 28, 473, 1618, 30, 6862, 16, 3405, 30, 5759, 16, 11114, 30, 7536, 16, 4039, 30, 4691, 13, 478, 4298, 354, 470, 510, 478, 21837, 2895, 1845, 4013, 266, 470, 510, 34013, 30, 37923, 473, 6475, 30, 1618, 16, 9817, 30, 7751, 16, 4518, 30, 6475, 16, 4039, 30, 5759, 13, 478, 983, 1554, 1452, 470, 510, 478, 780, 26276, 7447, 470, 510, 48082, 30, 50014, 27409, 473, 8914, 30, 5493, 16, 2555, 30, 6462, 16, 667, 30, 3161, 16, 2706, 30, 5493, 16, 1488, 30, 26, 13, 478, 29392, 932, 266, 470, 510, 478, 780, 339, 32733, 470, 510, 29523, 30, 47113, 473, 3161, 30, 5759, 16, 1912, 30, 8914, 16, 1281, 30, 8914, 16, 5741, 30, 6568, 13, 478, 34275, 32446, 470, 510, 478, 789, 48577, 470, 510, 25055, 30, 16184, 473, 1618, 30, 6462, 16, 4055, 30, 6862, 16, 667, 30, 2692, 16, 3703, 30, 6091, 13, 478, 17810, 1822, 660, 470, 510, 478, 48404, 2362, 266, 470, 510, 28818, 30, 47113, 473, 6462, 30, 7703, 16, 2261, 30, 6475, 16, 4055, 30, 3420, 16, 3405, 30, 4691, 13, 478, 27296, 17, 17810, 426, 363, 470, 510, 478, 1659, 27254, 470, 510, 27182, 30, 16184, 473, 6568, 30, 6475, 16, 3405, 30, 6568, 16, 2706, 30, 6462, 16, 667, 30, 5759, 13, 439, 5548, 403, 16892, 1109, 10973, 30, 478, 3096, 16053, 16, 374, 7193, 12514, 281, 768, 48890, 304, 282, 5968, 18869, 10250, 7767, 12586, 324, 861, 9300, 12954, 478, 21357, 1134, 470, 49907, 1368, 19885, 846, 3214, 12550, 290, 18952, 33816, 20106, 34858, 32813, 1624, 32949, 3432, 6321, 1307, 28772, 478, 25769, 1208, 3244, 861, 478, 46937, 16, 492, 282, 4666, 18, 3647, 939, 11126, 18, 17807, 8272, 322, 453, 11723, 16, 428, 3005, 373, 16, 1548, 374, 329, 4966, 282, 803, 11258, 4443, 1791, 510, 9468, 14351, 17336, 16, 510, 5923, 1694, 37694, 385, 1605, 18, 510, 45428, 262, 2693, 322, 11347, 16, 42255, 11785, 1320, 18, 740, 505, 7957, 309, 478, 25769, 1208, 5255, 470, 639, 687, 13051, 536, 18, 817, 895, 2240, 475, 25420, 7103, 454, 18, 26514, 12032, 16, 428, 492, 16, 282, 2759, 35772, 939, 2500, 510, 753, 475, 14292, 18, 34858, 32813, 895, 41701, 16, 895, 15910, 16, 11022, 9871, 16, 16092, 11216, 16, 11486, 319, 6972, 368, 18, 12540, 6057, 16, 14343, 451, 16, 281, 19977, 4134, 18, 4777, 7653, 4960, 861, 4824, 411, 13764, 478, 983, 1554, 1452, 2387, 267, 470, 10988, 356, 42315, 5828, 811, 360, 17336, 289, 2259, 6273, 309, 34908, 282, 26290, 8267, 32671, 7561, 42361, 281, 478, 780, 26276, 7447, 504, 2275, 910, 3110, 1302, 36643, 50, 18, 42315, 322, 13694, 3455, 282, 1949, 7426, 16702, 478, 983, 1554, 4086, 470, 411, 17, 431, 1791, 281, 26467, 41487, 35364, 18, 365, 3178, 5576, 20113, 16355, 285, 14366, 5874, 7901, 16, 367, 567, 808, 21842, 282, 12013, 309 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1303, 3066, 1844, 22587, 12153, 475, 2944, 726, 45180, 281, 6245, 9594, 9456, 861, 824, 505, 4734, 16, 785, 39304, 14471, 371, 30894, 16, 334, 34526, 33070, 478, 1015, 1515, 2393, 4621, 910, 2391, 282, 4729, 6594, 697, 942, 8830, 18, 478, 1140, 4286, 16979, 14185, 39547, 7872, 18, 1782, 16, 1085, 45478, 424, 22839, 384, 27154, 4017, 19, 283, 16, 453, 289, 1747, 19108, 16, 2391, 1336, 1139, 2301, 13495, 1356, 2760, 6178, 282, 835, 4139, 4577, 16, 289, 39547, 7872, 282, 22839, 4017, 19, 283, 1623, 12334, 3276, 32614, 910, 510, 5692, 492, 18, 824, 4734, 34361, 16, 13367, 9823, 3219, 9439, 9456, 322, 6058, 3748, 8040, 6876, 12724, 309, 14576, 622, 18, 478, 618, 44145, 17700, 411, 17, 431, 15215, 432, 5348, 16979, 16, 367, 322, 411, 17, 431, 924, 16, 988, 1851, 2493, 5785, 3672, 12642, 18, 6682, 924, 16, 37417, 1441, 1747, 12259, 965, 6152, 33600, 16, 1548, 374, 322, 1513, 15765, 16, 374, 7108, 3438, 5229, 14331, 22200, 16, 10750, 756, 1779, 6245, 1979, 9456, 16, 27176, 505, 349, 2361, 1756, 18, 832, 1513, 840, 4893, 31053, 1855, 7872, 1188, 37564, 7923, 670, 5722, 3334, 16, 367, 2862, 16, 289, 11940, 281, 2184, 14576, 432, 21584, 840, 3440, 910, 510, 5273, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 822, 286, 551, 470, 749, 11090, 29656, 421, 22705, 401, 1642, 50253, 478, 983, 4476, 356, 861, 439, 5222, 478, 40176, 9058, 267, 470, 403, 16892, 18357, 2128, 35930, 309, 1728, 14674, 1392, 837, 8583, 686, 354, 768, 9698, 347, 18, 31224, 30, 677, 42889, 8267, 32671, 7561, 42361, 478, 822, 286, 551, 470, 1642, 50253, 478, 983, 4476, 356, 470, 477, 12932, 30137, 30, 7181, 473, 6568, 30, 5759, 16, 4039, 30, 6862, 16, 4518, 30, 2932, 16, 667, 30, 2932, 814, 24295, 1673, 6964, 17701, 40128, 31617, 1798, 282, 6940, 445, 322, 6181, 309, 12773, 781, 18, 365, 1335, 2630, 5425, 8097, 16, 374, 14450, 381, 7544, 263, 7179, 27398, 354, 322, 38214, 890, 467, 18, 824, 4734, 3725, 7987, 16, 975, 373, 9789, 6273, 282, 16109, 16, 988, 492, 1559, 373, 33531, 18, 365, 502, 575, 808, 16, 334, 3352, 4339, 8000, 22172, 1624, 282, 8460, 547, 17188, 478, 1098, 397, 17, 43469, 13461, 9058, 267, 910, 1029, 289, 453, 33144, 10372, 1775, 6477, 16, 11540, 30463, 18, 2839, 2356, 43282, 1251, 7668, 7784, 7586, 403, 16892, 18357, 17733, 289, 8460, 536, 1739, 23091, 3347, 8583, 686, 496, 768, 48890, 304, 18, 8859, 26058, 11540, 16, 3903, 373, 16, 282, 33915, 416, 17578, 651, 1188, 478, 27064, 1313, 8460, 861, 365, 43813, 582, 4966, 16101, 768, 48890, 12139, 4769, 18357, 3150, 16, 19578, 9731, 289, 2742, 1053, 5735, 1519, 1728, 14674, 1392, 837, 1188, 26696, 18, 4541, 282, 1743, 2302, 9528, 21188, 478, 1098, 397, 17, 43469, 10051, 293, 872, 267, 470, 510, 26060, 2227, 281, 21845, 635, 5000, 35060, 536, 16, 367, 1038, 5222, 478, 630, 2561, 3792, 276, 470, 42255, 12653, 13389, 1624, 7556, 4736, 2508, 30698, 503, 272, 18, 985, 3110, 7897, 10195, 16, 1011, 14574, 282, 43813, 454, 18357, 2128, 45434, 477, 5022, 16, 3235, 768, 9698, 347, 18, 478, 45065, 16929, 470, 510, 478, 30731, 742, 267, 470, 510, 26856, 30, 2479, 22, 473, 6091, 30, 8066, 16, 3436, 30, 6462, 16, 4016, 30, 6568, 16, 2706, 30, 2692, 13, 478, 563, 333, 287, 503, 299, 470, 510, 478, 23739, 17, 5853, 14712, 262, 470, 510, 35753, 30, 2479, 28, 473, 1618, 30, 6862, 16, 3405, 30, 5759, 16, 11114, 30, 7536, 16, 4039, 30, 4691, 13, 478, 4298, 354, 470, 510, 478, 21837, 2895, 1845, 4013, 266, 470, 510, 34013, 30, 37923, 473, 6475, 30, 1618, 16, 9817, 30, 7751, 16, 4518, 30, 6475, 16, 4039, 30, 5759, 13, 478, 983, 1554, 1452, 470, 510, 478, 780, 26276, 7447, 470, 510, 48082, 30, 50014, 27409, 473, 8914, 30, 5493, 16, 2555, 30, 6462, 16, 667, 30, 3161, 16, 2706, 30, 5493, 16, 1488, 30, 26, 13, 478, 29392, 932, 266, 470, 510, 478, 780, 339, 32733, 470, 510, 29523, 30, 47113, 473, 3161, 30, 5759, 16, 1912, 30, 8914, 16, 1281, 30, 8914, 16, 5741, 30, 6568, 13, 478, 34275, 32446, 470, 510, 478, 789, 48577, 470, 510, 25055, 30, 16184, 473, 1618, 30, 6462, 16, 4055, 30, 6862, 16, 667, 30, 2692, 16, 3703, 30, 6091, 13, 478, 17810, 1822, 660, 470, 510, 478, 48404, 2362, 266, 470, 510, 28818, 30, 47113, 473, 6462, 30, 7703, 16, 2261, 30, 6475, 16, 4055, 30, 3420, 16, 3405, 30, 4691, 13, 478, 27296, 17, 17810, 426, 363, 470, 510, 478, 1659, 27254, 470, 510, 27182, 30, 16184, 473, 6568, 30, 6475, 16, 3405, 30, 6568, 16, 2706, 30, 6462, 16, 667, 30, 5759, 13, 439, 5548, 403, 16892, 1109, 10973, 30, 478, 3096, 16053, 16, 374, 7193, 12514, 281, 768, 48890, 304, 282, 5968, 18869, 10250, 7767, 12586, 324, 861, 9300, 12954, 478, 21357, 1134, 470, 49907, 1368, 19885, 846, 3214, 12550, 290, 18952, 33816, 20106, 34858, 32813, 1624, 32949, 3432, 6321, 1307, 28772, 478, 25769, 1208, 3244, 861, 478, 46937, 16, 492, 282, 4666, 18, 3647, 939, 11126, 18, 17807, 8272, 322, 453, 11723, 16, 428, 3005, 373, 16, 1548, 374, 329, 4966, 282, 803, 11258, 4443, 1791, 510, 9468, 14351, 17336, 16, 510, 5923, 1694, 37694, 385, 1605, 18, 510, 45428, 262, 2693, 322, 11347, 16, 42255, 11785, 1320, 18, 740, 505, 7957, 309, 478, 25769, 1208, 5255, 470, 639, 687, 13051, 536, 18, 817, 895, 2240, 475, 25420, 7103, 454, 18, 26514, 12032, 16, 428, 492, 16, 282, 2759, 35772, 939, 2500, 510, 753, 475, 14292, 18, 34858, 32813, 895, 41701, 16, 895, 15910, 16, 11022, 9871, 16, 16092, 11216, 16, 11486, 319, 6972, 368, 18, 12540, 6057, 16, 14343, 451, 16, 281, 19977, 4134, 18, 4777, 7653, 4960, 861, 4824, 411, 13764, 478, 983, 1554, 1452, 2387, 267, 470, 10988, 356, 42315, 5828, 811, 360, 17336, 289, 2259, 6273, 309, 34908, 282, 26290, 8267, 32671, 7561, 42361, 281, 478, 780, 26276, 7447, 504, 2275, 910, 3110, 1302, 36643, 50, 18, 42315, 322, 13694, 3455, 282, 1949, 7426, 16702, 478, 983, 1554, 4086, 470, 411, 17, 431, 1791, 281, 26467, 41487, 35364, 18, 365, 3178, 5576, 20113, 16355, 285, 14366, 5874, 7901, 16, 367, 567, 808, 21842, 282, 12013, 309 ]
[ 478, 27064, 283, 1209, 8460, 470, 1974, 477, 1360, 18283, 289, 29108, 31105, 334, 478, 4298, 464, 1467, 604, 910, 4373, 1307, 1353, 3663, 478, 1659, 27254, 21604, 32248, 470, 42342, 304, 504, 2774, 4309, 9031, 309, 9903, 282, 4809, 1134, 18, 365, 10666, 25236, 7609, 18893, 668, 6450, 10145, 281, 28844, 334, 478, 9256, 267, 861, 478, 17603, 417, 16, 13649, 16, 11503, 965, 1882, 16, 510, 1109, 42315, 18, 510, 36450, 7299, 16, 374, 784, 18267, 25255, 16793, 16, 289, 417, 6259, 13161, 773, 18, 640, 2456, 2463, 784, 2881, 1033, 36425, 9903, 16, 515, 1314, 329, 703, 309, 481, 1003, 1612, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 3420, 3612, 685, 22812, 1235, 2452, 7342, 1175, 309, 16628, 2422, 334, 40730, 281, 42594, 18, 824, 7413, 281, 33146, 966, 6250, 620, 3655, 9680, 778, 11226, 31773, 4705, 9713, 18, 31224, 30, 677, 11946, 9680, 778, 11226, 7342, 1175, 567, 7410, 281, 47927, 23327, 13432, 24185, 364, 11875, 1281, 1135, 16, 29465, 973, 282, 44108, 2452, 4966, 309, 16628, 2422, 334, 40730, 281, 42594, 16, 1029, 8192, 281, 3703, 3612, 334, 816, 3750, 282, 19992, 18, 14959, 11319, 30, 16922, 768, 8614, 405, 6166, 13781, 17, 16226, 12235, 9810, 4015, 432, 6166, 992, 10119, 355, 470, 5102, 44380, 30, 9543, 5014, 454, 1452, 6166, 992, 10119, 355, 12235, 7753, 46424, 6166, 1295, 350, 1270, 12235, 8973, 6606, 332, 712, 6166, 13781, 17, 16226, 12235, 14013, 43892, 2131, 609, 6166, 992, 10119, 355, 12235, 24900, 1157, 30, 9543, 1034, 9180, 3930, 6166, 1295, 350, 1270, 12235, 6729, 459, 7701, 388, 1428, 6166, 1295, 350, 1270, 12235, 3720, 12129, 343, 2106, 6166, 13781, 17, 16226, 12235, 29333, 1467, 948, 262, 512, 6166, 992, 10119, 355, 12235, 6370, 42593, 512, 6166, 13781, 17, 16226, 12235, 4210, 10989, 1219, 483, 6166, 13781, 17, 24062, 4920, 12235, 6096, 33025, 272, 512, 6166, 13781, 17, 24062, 4920, 12235, 13403, 1733, 30, 14013, 38293, 24009, 6166, 992, 10119, 355, 12235, 4210, 29144, 4083, 6166, 992, 10119, 355, 12235, 8973, 21364, 1275, 6166, 13781, 17, 16226, 12235, 7550, 13414, 1970, 6166, 22995, 884, 12235, 10618, 35026, 14940, 6166, 13781, 17, 16226, 11523, 38207, 2284, 48059, 282, 7342, 4247, 24084, 478, 13781, 443, 16226, 470, 289, 478, 992, 10119, 355, 910, 7718, 488, 2508, 334, 5270, 16452, 26226, 18, 21623, 22009, 478, 1295, 350, 1270, 470, 16292, 14638, 50166, 16, 478, 13781, 17, 24062, 4920, 470, 5512, 16, 367, 2067, 483, 1162, 478, 22995, 884, 470, 3348, 18, 824, 7413, 281, 33146, 966, 4027, 496, 16, 1029, 6382, 282, 32866, 16, 988, 26062, 282, 23376, 329, 7367, 588, 546, 4304, 477, 12932, 1032, 30, 25, 16, 2452, 4966, 20951, 1033, 828, 19319, 18, 2263, 825, 17131, 9885, 6973, 3707, 11060, 701, 1762, 3430, 1162, 14875, 16, 988, 4226, 36785, 4414, 20801, 289, 35111, 18696, 288, 831, 6280, 467, 16922, 768, 8614, 405, 289, 9810, 4015, 432, 18, 365, 14526, 411, 1281, 1135, 1833, 4705, 9713, 16, 2496, 1129, 2846, 20330, 46105, 30, 14013, 43892, 2131, 609, 1624, 14013, 38293, 24009, 1624, 6096, 33025, 272, 512, 289, 9543, 1034, 9180, 3930, 18, 48963, 2353, 17665, 38293, 24009, 16, 1029, 282, 21555, 281, 33411, 29144, 4083, 225, 1116, 12173, 341, 3846, 309, 30556, 282, 12013, 2553, 282, 5271, 478, 992, 307, 409, 274, 861, 2263, 2435, 3952, 758, 282, 10434, 3929, 29144, 4083, 289, 3720, 12129, 343, 2106, 16, 541, 1639, 481, 840, 726, 1912, 17, 647, 18804, 309, 30681, 46881, 18, 31345, 2422, 282, 19992, 4040, 11114, 17, 406, 282, 3182, 18, 46594, 1175, 895, 282, 3695, 17, 295, 445, 31911, 19844, 19650, 18, 40519, 276, 19910, 4027, 353, 2287, 445, 18, 365, 7520, 1045, 8970, 445, 40308, 4220, 898, 5251, 318, 18, 10512, 25815, 10133, 20925, 1175, 24905, 4055, 3612, 282, 7384, 23682, 1184, 1484, 1279, 4966, 16899, 18, 640, 5421, 1119, 21166, 2497, 23327, 3583, 6280, 467, 1279, 26303, 16, 4518, 3612, 18952, 2986, 1747, 22738, 5251, 318, 16, 2555, 3612, 651, 41446, 1013, 16, 367, 282, 3227, 669, 11100, 8267, 40406, 14452, 5571, 7193, 281, 7460, 484, 281, 1097, 12764, 4027, 353, 2422, 289, 15014, 353, 14452, 18, 33424, 6436, 2664, 18222, 491, 3750, 16, 367, 23356, 9934, 816, 3750, 18, 5890, 2992, 1205, 9410, 30111, 12503, 18823, 48432, 16, 1586, 3424, 16, 428, 289, 282, 6104, 1045, 16, 18889, 360, 8465, 411, 17, 431, 14412, 1791, 18, 3791, 32872, 3455, 44229, 27496, 289, 43344, 18, 4055, 3612, 3771, 651, 15842, 4039, 3612, 19597, 4653, 510, 3771, 4518, 3612, 13474, 4879, 510, 3771, 2555, 3612, 3771, 651, 9887, 2750, 5741, 3612, 49348, 510, 3771, 824, 6973, 27041, 15778, 26310, 14452, 2418, 3541, 17, 23418, 2543, 3885, 1007, 309, 1871, 3463, 18, 1860, 793, 3222, 411, 7518, 3541, 4786, 439, 840, 5245, 13375, 349, 19650, 30, 3191, 448, 16, 2056, 2508, 5487, 2846, 2223, 16, 3956, 266, 13375, 282, 22979, 17, 21131, 16, 367, 21446, 1871, 4966, 1747, 11203, 349, 24575, 1953, 17940, 282, 15291, 464, 18, 9051, 33146, 3756, 6973, 3707, 8410, 20925, 15783, 14853, 332, 19874, 289, 20330, 47493, 282, 2068, 285, 781, 1678, 7483, 18, 35446, 8972, 496, 7342, 1175, 20142, 4040, 20925, 19992, 16, 349, 2588, 6280, 467, 3103, 12525, 411, 7179, 7561, 18, 9873, 24088, 507, 49536, 1265, 853, 6166, 13781, 17, 24062, 4920, 12235, 378, 665, 31865, 526, 277, 5159, 507, 16, 11106, 22735, 35621, 289, 11106, 22735, 421, 11496, 21145, 473, 10524, 510, 478, 13781, 17, 16226, 12235, 481, 1421, 14840, 478, 1295, 350, 2035, 861, 2046, 7006, 520, 586, 888, 267, 2075, 842, 2612, 16, 47506, 363, 625, 436, 271, 13278, 289, 35457, 391, 696, 29499, 334, 27219, 309, 20017, 282, 21311, 43157, 12964, 18, 3510, 2261, 3612, 478, 1295, 350, 1270, 470, 29511, 8260, 33513, 282, 35469, 30755, 478, 34539, 552, 470, 477, 12932, 816, 30, 24, 16, 18100, 1223, 11464, 13270, 282, 11258, 289, 329, 22603, 4698, 39061, 30423, 478, 992, 307, 409, 306, 861, 365, 803, 8267, 18226, 269, 4287, 322, 7737, 4366, 1833, 1421, 19574, 16707, 30, 5815, 7753, 46424, 1624, 4210, 11974, 332, 523, 289, 13328, 2075, 842, 2612, 18, 439, 583, 478, 992, 10119, 355, 470, 4223, 282, 21854, 1011, 16536, 416, 9764, 282, 5714, 333, 4172, 1195, 478, 1916, 3174, 14325, 470, 473, 29, 30, 22, 814, 22405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 27064, 283, 1209, 8460, 470, 1974, 477, 1360, 18283, 289, 29108, 31105, 334, 478, 4298, 464, 1467, 604, 910, 4373, 1307, 1353, 3663, 478, 1659, 27254, 21604, 32248, 470, 42342, 304, 504, 2774, 4309, 9031, 309, 9903, 282, 4809, 1134, 18, 365, 10666, 25236, 7609, 18893, 668, 6450, 10145, 281, 28844, 334, 478, 9256, 267, 861, 478, 17603, 417, 16, 13649, 16, 11503, 965, 1882, 16, 510, 1109, 42315, 18, 510, 36450, 7299, 16, 374, 784, 18267, 25255, 16793, 16, 289, 417, 6259, 13161, 773, 18, 640, 2456, 2463, 784, 2881, 1033, 36425, 9903, 16, 515, 1314, 329, 703, 309, 481, 1003, 1612, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 3420, 3612, 685, 22812, 1235, 2452, 7342, 1175, 309, 16628, 2422, 334, 40730, 281, 42594, 18, 824, 7413, 281, 33146, 966, 6250, 620, 3655, 9680, 778, 11226, 31773, 4705, 9713, 18, 31224, 30, 677, 11946, 9680, 778, 11226, 7342, 1175, 567, 7410, 281, 47927, 23327, 13432, 24185, 364, 11875, 1281, 1135, 16, 29465, 973, 282, 44108, 2452, 4966, 309, 16628, 2422, 334, 40730, 281, 42594, 16, 1029, 8192, 281, 3703, 3612, 334, 816, 3750, 282, 19992, 18, 14959, 11319, 30, 16922, 768, 8614, 405, 6166, 13781, 17, 16226, 12235, 9810, 4015, 432, 6166, 992, 10119, 355, 470, 5102, 44380, 30, 9543, 5014, 454, 1452, 6166, 992, 10119, 355, 12235, 7753, 46424, 6166, 1295, 350, 1270, 12235, 8973, 6606, 332, 712, 6166, 13781, 17, 16226, 12235, 14013, 43892, 2131, 609, 6166, 992, 10119, 355, 12235, 24900, 1157, 30, 9543, 1034, 9180, 3930, 6166, 1295, 350, 1270, 12235, 6729, 459, 7701, 388, 1428, 6166, 1295, 350, 1270, 12235, 3720, 12129, 343, 2106, 6166, 13781, 17, 16226, 12235, 29333, 1467, 948, 262, 512, 6166, 992, 10119, 355, 12235, 6370, 42593, 512, 6166, 13781, 17, 16226, 12235, 4210, 10989, 1219, 483, 6166, 13781, 17, 24062, 4920, 12235, 6096, 33025, 272, 512, 6166, 13781, 17, 24062, 4920, 12235, 13403, 1733, 30, 14013, 38293, 24009, 6166, 992, 10119, 355, 12235, 4210, 29144, 4083, 6166, 992, 10119, 355, 12235, 8973, 21364, 1275, 6166, 13781, 17, 16226, 12235, 7550, 13414, 1970, 6166, 22995, 884, 12235, 10618, 35026, 14940, 6166, 13781, 17, 16226, 11523, 38207, 2284, 48059, 282, 7342, 4247, 24084, 478, 13781, 443, 16226, 470, 289, 478, 992, 10119, 355, 910, 7718, 488, 2508, 334, 5270, 16452, 26226, 18, 21623, 22009, 478, 1295, 350, 1270, 470, 16292, 14638, 50166, 16, 478, 13781, 17, 24062, 4920, 470, 5512, 16, 367, 2067, 483, 1162, 478, 22995, 884, 470, 3348, 18, 824, 7413, 281, 33146, 966, 4027, 496, 16, 1029, 6382, 282, 32866, 16, 988, 26062, 282, 23376, 329, 7367, 588, 546, 4304, 477, 12932, 1032, 30, 25, 16, 2452, 4966, 20951, 1033, 828, 19319, 18, 2263, 825, 17131, 9885, 6973, 3707, 11060, 701, 1762, 3430, 1162, 14875, 16, 988, 4226, 36785, 4414, 20801, 289, 35111, 18696, 288, 831, 6280, 467, 16922, 768, 8614, 405, 289, 9810, 4015, 432, 18, 365, 14526, 411, 1281, 1135, 1833, 4705, 9713, 16, 2496, 1129, 2846, 20330, 46105, 30, 14013, 43892, 2131, 609, 1624, 14013, 38293, 24009, 1624, 6096, 33025, 272, 512, 289, 9543, 1034, 9180, 3930, 18, 48963, 2353, 17665, 38293, 24009, 16, 1029, 282, 21555, 281, 33411, 29144, 4083, 225, 1116, 12173, 341, 3846, 309, 30556, 282, 12013, 2553, 282, 5271, 478, 992, 307, 409, 274, 861, 2263, 2435, 3952, 758, 282, 10434, 3929, 29144, 4083, 289, 3720, 12129, 343, 2106, 16, 541, 1639, 481, 840, 726, 1912, 17, 647, 18804, 309, 30681, 46881, 18, 31345, 2422, 282, 19992, 4040, 11114, 17, 406, 282, 3182, 18, 46594, 1175, 895, 282, 3695, 17, 295, 445, 31911, 19844, 19650, 18, 40519, 276, 19910, 4027, 353, 2287, 445, 18, 365, 7520, 1045, 8970, 445, 40308, 4220, 898, 5251, 318, 18, 10512, 25815, 10133, 20925, 1175, 24905, 4055, 3612, 282, 7384, 23682, 1184, 1484, 1279, 4966, 16899, 18, 640, 5421, 1119, 21166, 2497, 23327, 3583, 6280, 467, 1279, 26303, 16, 4518, 3612, 18952, 2986, 1747, 22738, 5251, 318, 16, 2555, 3612, 651, 41446, 1013, 16, 367, 282, 3227, 669, 11100, 8267, 40406, 14452, 5571, 7193, 281, 7460, 484, 281, 1097, 12764, 4027, 353, 2422, 289, 15014, 353, 14452, 18, 33424, 6436, 2664, 18222, 491, 3750, 16, 367, 23356, 9934, 816, 3750, 18, 5890, 2992, 1205, 9410, 30111, 12503, 18823, 48432, 16, 1586, 3424, 16, 428, 289, 282, 6104, 1045, 16, 18889, 360, 8465, 411, 17, 431, 14412, 1791, 18, 3791, 32872, 3455, 44229, 27496, 289, 43344, 18, 4055, 3612, 3771, 651, 15842, 4039, 3612, 19597, 4653, 510, 3771, 4518, 3612, 13474, 4879, 510, 3771, 2555, 3612, 3771, 651, 9887, 2750, 5741, 3612, 49348, 510, 3771, 824, 6973, 27041, 15778, 26310, 14452, 2418, 3541, 17, 23418, 2543, 3885, 1007, 309, 1871, 3463, 18, 1860, 793, 3222, 411, 7518, 3541, 4786, 439, 840, 5245, 13375, 349, 19650, 30, 3191, 448, 16, 2056, 2508, 5487, 2846, 2223, 16, 3956, 266, 13375, 282, 22979, 17, 21131, 16, 367, 21446, 1871, 4966, 1747, 11203, 349, 24575, 1953, 17940, 282, 15291, 464, 18, 9051, 33146, 3756, 6973, 3707, 8410, 20925, 15783, 14853, 332, 19874, 289, 20330, 47493, 282, 2068, 285, 781, 1678, 7483, 18, 35446, 8972, 496, 7342, 1175, 20142, 4040, 20925, 19992, 16, 349, 2588, 6280, 467, 3103, 12525, 411, 7179, 7561, 18, 9873, 24088, 507, 49536, 1265, 853, 6166, 13781, 17, 24062, 4920, 12235, 378, 665, 31865, 526, 277, 5159, 507, 16, 11106, 22735, 35621, 289, 11106, 22735, 421, 11496, 21145, 473, 10524, 510, 478, 13781, 17, 16226, 12235, 481, 1421, 14840, 478, 1295, 350, 2035, 861, 2046, 7006, 520, 586, 888, 267, 2075, 842, 2612, 16, 47506, 363, 625, 436, 271, 13278, 289, 35457, 391, 696, 29499, 334, 27219, 309, 20017, 282, 21311, 43157, 12964, 18, 3510, 2261, 3612, 478, 1295, 350, 1270, 470, 29511, 8260, 33513, 282, 35469, 30755, 478, 34539, 552, 470, 477, 12932, 816, 30, 24, 16, 18100, 1223, 11464, 13270, 282, 11258, 289, 329, 22603, 4698, 39061, 30423, 478, 992, 307, 409, 306, 861, 365, 803, 8267, 18226, 269, 4287, 322, 7737, 4366, 1833, 1421, 19574, 16707, 30, 5815, 7753, 46424, 1624, 4210, 11974, 332, 523, 289, 13328, 2075, 842, 2612, 18, 439, 583, 478, 992, 10119, 355, 470, 4223, 282, 21854, 1011, 16536, 416, 9764, 282, 5714, 333, 4172, 1195, 478, 1916, 3174, 14325, 470, 473, 29, 30, 22, 814, 22405 ]
[ 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 30881, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 20377, 10376, 29368, 38013, 37115, 18187, 478, 27296, 17, 10594, 47015, 470, 1684, 18070, 478, 30731, 14313, 791, 306, 910, 8999, 1754, 42313, 12507, 504, 7420, 297, 2516, 18, 24114, 3012, 2607, 282, 8267, 281, 478, 40480, 307, 1035, 3924, 470, 2581, 811, 39914, 478, 37984, 19495, 16968, 470, 10618, 5573, 2931, 18, 4800, 34544, 478, 20181, 31799, 470, 11303, 17417, 348, 375, 35150, 7015, 13270, 282, 11258, 18, 31224, 30, 20377, 10376, 29368, 38013, 15512, 367, 18187, 478, 27296, 17, 10594, 47015, 470, 309, 29510, 30482, 1684, 18070, 478, 30731, 14313, 791, 306, 470, 477, 12932, 1061, 30, 22, 18, 478, 822, 11316, 8076, 470, 4732, 281, 2223, 282, 11180, 18, 5890, 309, 4317, 17, 295, 3749, 476, 4183, 10485, 457, 11167, 1723, 632, 4013, 2266, 333, 281, 3195, 38013, 37115, 289, 727, 4013, 324, 6844, 2948, 18, 430, 18, 3720, 385, 1520, 6166, 563, 645, 17, 20327, 711, 12235, 816, 473, 21, 15, 22, 13, 491, 18, 12507, 38013, 15512, 6166, 27296, 17, 10594, 47015, 12235, 816, 473, 20, 15, 23, 13, 816, 18, 9840, 17, 22579, 298, 727, 426, 312, 6166, 37984, 19495, 7474, 16, 282, 269, 934, 2706, 281, 4013, 6761, 2046, 478, 1123, 4921, 470, 2156, 1064, 30302, 21427, 17701, 18, 7909, 21094, 3602, 7651, 26660, 267, 282, 11063, 281, 25087, 504, 27715, 13843, 1034, 36190, 289, 18025, 540, 11219, 344, 3221, 4165, 2948, 18, 17271, 7130, 6396, 4317, 17, 7745, 43078, 22004, 403, 392, 7839, 281, 3195, 5423, 9596, 5819, 370, 5269, 289, 10513, 345, 507, 727, 4476, 665, 23009, 478, 30731, 14313, 791, 306, 470, 4024, 18, 2112, 978, 38331, 478, 38535, 10669, 288, 470, 15330, 23710, 671, 3508, 22415, 1634, 21166, 2466, 289, 4445, 44368, 17, 264, 487, 18, 2046, 23511, 50172, 309, 4356, 322, 5678, 18, 832, 5683, 289, 7130, 1011, 2992, 15277, 919, 7646, 16, 428, 282, 8999, 37513, 21152, 262, 40925, 289, 7504, 774, 18, 48824, 38239, 280, 281, 10376, 11219, 344, 3521, 20298, 4744, 1212, 12842, 29974, 326, 1519, 774, 382, 2314, 478, 2534, 806, 2347, 861, 740, 567, 7422, 29235, 21166, 2497, 4342, 1219, 287, 475, 17, 2767, 23493, 1728, 42398, 18, 7909, 16632, 368, 478, 2534, 806, 2347, 470, 6096, 824, 837, 21515, 281, 25087, 38013, 37115, 289, 21152, 262, 473, 10176, 17, 274, 282, 24087, 13, 2859, 6397, 300, 3441, 46234, 18, 439, 2512, 35457, 8829, 264, 301, 1624, 322, 749, 3599, 774, 382, 2314, 7646, 29368, 504, 7420, 4041, 401, 1624, 3221, 4165, 2948, 18, 478, 1358, 6317, 16, 374, 28474, 31137, 16, 510, 14403, 21152, 262, 1011, 7977, 18, 651, 9993, 16, 417, 2946, 16, 374, 403, 5202, 17341, 18, 740, 7563, 46234, 9244, 35376, 861, 3495, 1832, 576, 385, 4013, 32796, 288, 510, 45978, 356, 12582, 375, 288, 1032, 30, 22, 473, 21, 30, 21, 16, 2239, 30, 21, 16, 816, 30, 20, 13, 8790, 307, 1035, 297, 1467, 305, 267, 510, 8027, 19495, 7474, 378, 2976, 2106, 288, 430, 30, 23, 473, 20, 30, 21, 16, 2239, 30, 20, 16, 430, 30, 22, 13, 11040, 932, 266, 10399, 608, 2976, 288, 510, 439, 2165, 686, 277, 450, 2275, 491, 30, 25, 473, 20, 30, 20, 16, 491, 30, 22, 16, 2239, 30, 23, 13, 34456, 38358, 2070, 1285, 267, 510, 6258, 17, 1916, 16460, 11442, 3646, 1032, 30, 21, 473, 21, 30, 20, 16, 491, 30, 21, 16, 430, 30, 20, 13, 8553, 486, 312, 48972, 4013, 277, 288, 510, 21883, 17, 20327, 711, 37539, 288, 491, 30, 25, 473, 20, 30, 24, 16, 430, 30, 20, 16, 430, 30, 21, 13, 9131, 454, 551, 9699, 324, 3646, 510, 24921, 1145, 10512, 288, 816, 30, 24, 473, 20, 30, 21, 16, 816, 30, 21, 16, 2239, 30, 22, 13, 478, 45250, 4921, 470, 428, 2521, 5823, 322, 282, 1360, 46901, 18, 365, 8151, 11202, 10485, 16722, 10082, 24522, 2612, 18397, 18537, 364, 5155, 3724, 1011, 10376, 36910, 18309, 1265, 853, 651, 1032, 30, 23, 18, 439, 282, 5462, 582, 38331, 478, 30731, 14313, 24994, 470, 15330, 4414, 420, 2292, 266, 3508, 6841, 1558, 289, 28080, 281, 7889, 504, 7420, 4041, 401, 18, 1895, 21638, 478, 2534, 806, 2347, 470, 322, 19889, 965, 2693, 5837, 18, 4671, 13763, 281, 25087, 8829, 264, 669, 289, 22337, 356, 548, 3404, 2948, 1061, 30, 23, 18, 889, 726, 7192, 27548, 13270, 504, 7420, 4041, 401, 371, 7518, 5474, 5706, 18, 38013, 15512, 575, 685, 14449, 4056, 33531, 7977, 18, 7758, 309, 14540, 7179, 1307, 28772, 2418, 12994, 282, 2418, 21273, 20420, 8900, 18, 2112, 7977, 38013, 15512, 4725, 16, 374, 22189, 824, 837, 30126, 16059, 478, 2534, 806, 303, 395, 470, 309, 4356, 18, 478, 789, 987, 320, 1109, 1299, 46772, 289, 6622, 6281, 16, 510, 5923, 1694, 38013, 37115, 12117, 4788, 29730, 18, 510, 996, 374, 567, 7422, 29235, 656, 4732, 2240, 33950, 4465, 18, 824, 837, 21515, 11347, 349, 813, 282, 6104, 11258, 18, 365, 803, 1299, 505, 322, 9929, 16, 3984, 6532, 16, 374, 329, 1047, 906, 5689, 1166, 16075, 18, 1303, 898, 13392, 4641, 505, 282, 43813, 582, 861, 504, 792, 435, 9220, 1027, 5426, 16480, 39914, 478, 37984, 19495, 16968, 470, 10618, 5573, 2931, 18, 478, 672, 25525, 318, 470, 309, 36934, 10313, 4667, 8955, 1195, 478, 40480, 307, 1035, 3924, 470, 510, 816, 30, 21, 18, 439, 583, 5573, 2931, 13016, 10133, 281, 44391, 26942, 17, 21, 861, 35832, 282, 8267, 6844, 18026, 267, 1011, 38674, 281, 12070, 6873, 962, 289, 14134, 363, 486, 18, 2112, 978, 40230, 336, 707, 1790, 349, 17953, 263, 16, 3956, 14960, 519, 16838, 11202, 10485, 18, 14097, 274, 282, 11063, 473, 31562, 309, 1421, 934, 478, 293, 25525, 318, 470, 322, 3005, 322, 41701, 18, 365, 6031, 16, 40457, 281, 25087, 5573, 8053, 289, 403, 648, 818, 46164, 12376, 46234, 7646, 18, 16577, 1421, 7130, 586, 22287, 554, 3225, 2859, 43048, 319, 1176, 774, 18, 2046, 475, 1500, 575, 18026, 267, 281, 25087, 4025, 2016, 289, 4033, 18693, 46164, 46234, 282, 726, 24362, 8999, 478, 822, 3748, 267, 861, 365, 5271, 17701, 20118, 749, 12994, 20915, 47143, 3720, 11974, 353, 7719, 289, 39001, 1577, 6363, 1236, 14669, 291, 18, 478, 29392, 932, 266, 470, 282, 7814, 16714, 981, 321, 30582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 30881, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 20377, 10376, 29368, 38013, 37115, 18187, 478, 27296, 17, 10594, 47015, 470, 1684, 18070, 478, 30731, 14313, 791, 306, 910, 8999, 1754, 42313, 12507, 504, 7420, 297, 2516, 18, 24114, 3012, 2607, 282, 8267, 281, 478, 40480, 307, 1035, 3924, 470, 2581, 811, 39914, 478, 37984, 19495, 16968, 470, 10618, 5573, 2931, 18, 4800, 34544, 478, 20181, 31799, 470, 11303, 17417, 348, 375, 35150, 7015, 13270, 282, 11258, 18, 31224, 30, 20377, 10376, 29368, 38013, 15512, 367, 18187, 478, 27296, 17, 10594, 47015, 470, 309, 29510, 30482, 1684, 18070, 478, 30731, 14313, 791, 306, 470, 477, 12932, 1061, 30, 22, 18, 478, 822, 11316, 8076, 470, 4732, 281, 2223, 282, 11180, 18, 5890, 309, 4317, 17, 295, 3749, 476, 4183, 10485, 457, 11167, 1723, 632, 4013, 2266, 333, 281, 3195, 38013, 37115, 289, 727, 4013, 324, 6844, 2948, 18, 430, 18, 3720, 385, 1520, 6166, 563, 645, 17, 20327, 711, 12235, 816, 473, 21, 15, 22, 13, 491, 18, 12507, 38013, 15512, 6166, 27296, 17, 10594, 47015, 12235, 816, 473, 20, 15, 23, 13, 816, 18, 9840, 17, 22579, 298, 727, 426, 312, 6166, 37984, 19495, 7474, 16, 282, 269, 934, 2706, 281, 4013, 6761, 2046, 478, 1123, 4921, 470, 2156, 1064, 30302, 21427, 17701, 18, 7909, 21094, 3602, 7651, 26660, 267, 282, 11063, 281, 25087, 504, 27715, 13843, 1034, 36190, 289, 18025, 540, 11219, 344, 3221, 4165, 2948, 18, 17271, 7130, 6396, 4317, 17, 7745, 43078, 22004, 403, 392, 7839, 281, 3195, 5423, 9596, 5819, 370, 5269, 289, 10513, 345, 507, 727, 4476, 665, 23009, 478, 30731, 14313, 791, 306, 470, 4024, 18, 2112, 978, 38331, 478, 38535, 10669, 288, 470, 15330, 23710, 671, 3508, 22415, 1634, 21166, 2466, 289, 4445, 44368, 17, 264, 487, 18, 2046, 23511, 50172, 309, 4356, 322, 5678, 18, 832, 5683, 289, 7130, 1011, 2992, 15277, 919, 7646, 16, 428, 282, 8999, 37513, 21152, 262, 40925, 289, 7504, 774, 18, 48824, 38239, 280, 281, 10376, 11219, 344, 3521, 20298, 4744, 1212, 12842, 29974, 326, 1519, 774, 382, 2314, 478, 2534, 806, 2347, 861, 740, 567, 7422, 29235, 21166, 2497, 4342, 1219, 287, 475, 17, 2767, 23493, 1728, 42398, 18, 7909, 16632, 368, 478, 2534, 806, 2347, 470, 6096, 824, 837, 21515, 281, 25087, 38013, 37115, 289, 21152, 262, 473, 10176, 17, 274, 282, 24087, 13, 2859, 6397, 300, 3441, 46234, 18, 439, 2512, 35457, 8829, 264, 301, 1624, 322, 749, 3599, 774, 382, 2314, 7646, 29368, 504, 7420, 4041, 401, 1624, 3221, 4165, 2948, 18, 478, 1358, 6317, 16, 374, 28474, 31137, 16, 510, 14403, 21152, 262, 1011, 7977, 18, 651, 9993, 16, 417, 2946, 16, 374, 403, 5202, 17341, 18, 740, 7563, 46234, 9244, 35376, 861, 3495, 1832, 576, 385, 4013, 32796, 288, 510, 45978, 356, 12582, 375, 288, 1032, 30, 22, 473, 21, 30, 21, 16, 2239, 30, 21, 16, 816, 30, 20, 13, 8790, 307, 1035, 297, 1467, 305, 267, 510, 8027, 19495, 7474, 378, 2976, 2106, 288, 430, 30, 23, 473, 20, 30, 21, 16, 2239, 30, 20, 16, 430, 30, 22, 13, 11040, 932, 266, 10399, 608, 2976, 288, 510, 439, 2165, 686, 277, 450, 2275, 491, 30, 25, 473, 20, 30, 20, 16, 491, 30, 22, 16, 2239, 30, 23, 13, 34456, 38358, 2070, 1285, 267, 510, 6258, 17, 1916, 16460, 11442, 3646, 1032, 30, 21, 473, 21, 30, 20, 16, 491, 30, 21, 16, 430, 30, 20, 13, 8553, 486, 312, 48972, 4013, 277, 288, 510, 21883, 17, 20327, 711, 37539, 288, 491, 30, 25, 473, 20, 30, 24, 16, 430, 30, 20, 16, 430, 30, 21, 13, 9131, 454, 551, 9699, 324, 3646, 510, 24921, 1145, 10512, 288, 816, 30, 24, 473, 20, 30, 21, 16, 816, 30, 21, 16, 2239, 30, 22, 13, 478, 45250, 4921, 470, 428, 2521, 5823, 322, 282, 1360, 46901, 18, 365, 8151, 11202, 10485, 16722, 10082, 24522, 2612, 18397, 18537, 364, 5155, 3724, 1011, 10376, 36910, 18309, 1265, 853, 651, 1032, 30, 23, 18, 439, 282, 5462, 582, 38331, 478, 30731, 14313, 24994, 470, 15330, 4414, 420, 2292, 266, 3508, 6841, 1558, 289, 28080, 281, 7889, 504, 7420, 4041, 401, 18, 1895, 21638, 478, 2534, 806, 2347, 470, 322, 19889, 965, 2693, 5837, 18, 4671, 13763, 281, 25087, 8829, 264, 669, 289, 22337, 356, 548, 3404, 2948, 1061, 30, 23, 18, 889, 726, 7192, 27548, 13270, 504, 7420, 4041, 401, 371, 7518, 5474, 5706, 18, 38013, 15512, 575, 685, 14449, 4056, 33531, 7977, 18, 7758, 309, 14540, 7179, 1307, 28772, 2418, 12994, 282, 2418, 21273, 20420, 8900, 18, 2112, 7977, 38013, 15512, 4725, 16, 374, 22189, 824, 837, 30126, 16059, 478, 2534, 806, 303, 395, 470, 309, 4356, 18, 478, 789, 987, 320, 1109, 1299, 46772, 289, 6622, 6281, 16, 510, 5923, 1694, 38013, 37115, 12117, 4788, 29730, 18, 510, 996, 374, 567, 7422, 29235, 656, 4732, 2240, 33950, 4465, 18, 824, 837, 21515, 11347, 349, 813, 282, 6104, 11258, 18, 365, 803, 1299, 505, 322, 9929, 16, 3984, 6532, 16, 374, 329, 1047, 906, 5689, 1166, 16075, 18, 1303, 898, 13392, 4641, 505, 282, 43813, 582, 861, 504, 792, 435, 9220, 1027, 5426, 16480, 39914, 478, 37984, 19495, 16968, 470, 10618, 5573, 2931, 18, 478, 672, 25525, 318, 470, 309, 36934, 10313, 4667, 8955, 1195, 478, 40480, 307, 1035, 3924, 470, 510, 816, 30, 21, 18, 439, 583, 5573, 2931, 13016, 10133, 281, 44391, 26942, 17, 21, 861, 35832, 282, 8267, 6844, 18026, 267, 1011, 38674, 281, 12070, 6873, 962, 289, 14134, 363, 486, 18, 2112, 978, 40230, 336, 707, 1790, 349, 17953, 263, 16, 3956, 14960, 519, 16838, 11202, 10485, 18, 14097, 274, 282, 11063, 473, 31562, 309, 1421, 934, 478, 293, 25525, 318, 470, 322, 3005, 322, 41701, 18, 365, 6031, 16, 40457, 281, 25087, 5573, 8053, 289, 403, 648, 818, 46164, 12376, 46234, 7646, 18, 16577, 1421, 7130, 586, 22287, 554, 3225, 2859, 43048, 319, 1176, 774, 18, 2046, 475, 1500, 575, 18026, 267, 281, 25087, 4025, 2016, 289, 4033, 18693, 46164, 46234, 282, 726, 24362, 8999, 478, 822, 3748, 267, 861, 365, 5271, 17701, 20118, 749, 12994, 20915, 47143, 3720, 11974, 353, 7719, 289, 39001, 1577, 6363, 1236, 14669, 291, 18, 478, 29392, 932, 266, 470, 282, 7814, 16714, 981, 321, 30582 ]
[ 473, 30072, 6792, 21719, 478, 29392, 932, 354, 470, 17089, 9065, 6047, 3828, 16, 374, 329, 18952, 5539, 29557, 22745, 13, 33513, 478, 618, 2165, 686, 597, 470, 510, 491, 30, 25, 18, 31842, 23063, 46234, 46164, 43078, 1782, 728, 385, 831, 268, 404, 18, 2877, 309, 505, 14540, 726, 1760, 12994, 473, 24, 15, 3572, 814, 832, 8272, 1101, 329, 1307, 28772, 478, 563, 645, 17, 20327, 7900, 470, 9001, 37448, 5269, 18, 2112, 41114, 25067, 282, 29730, 47143, 282, 7426, 7518, 38369, 18462, 1472, 2361, 48148, 18, 365, 2566, 547, 8267, 478, 983, 623, 288, 470, 281, 478, 45618, 486, 312, 470, 473, 25, 30, 22, 13, 37448, 5269, 7609, 309, 27027, 2734, 1143, 1912, 1879, 289, 5354, 2581, 1920, 1472, 3348, 4744, 1212, 18, 832, 795, 695, 16480, 5017, 4028, 5426, 289, 774, 34544, 478, 20181, 31799, 470, 11303, 17417, 348, 375, 18, 365, 8267, 1279, 478, 12003, 1832, 576, 470, 47143, 25521, 2846, 15277, 919, 16, 367, 505, 7193, 49266, 477, 12932, 491, 30, 24, 18, 1012, 2088, 1815, 349, 478, 563, 4013, 32796, 288, 470, 6070, 15020, 5269, 13016, 10133, 749, 12994, 281, 44391, 3779, 617, 478, 17, 21, 861, 37540, 32671, 7561, 478, 1659, 27254, 910, 537, 7633, 282, 11258, 322, 42969, 1510, 282, 23975, 808, 16, 309, 3177, 27027, 26307, 1475, 478, 23739, 17, 1916, 16460, 861, 18206, 19011, 3147, 9449, 9056, 510, 1032, 30, 21, 282, 4356, 17701, 18, 365, 5271, 478, 983, 271, 4194, 2070, 1285, 267, 470, 1763, 331, 9439, 15277, 3376, 289, 3012, 2607, 2581, 811, 13328, 778, 25236, 1651, 1145, 768, 1042, 526, 3852, 29499, 18, 25888, 6839, 13865, 4983, 282, 8267, 1251, 478, 677, 34379, 551, 304, 470, 289, 478, 822, 300, 1145, 304, 861, 34165, 1279, 478, 34539, 288, 470, 31089, 5157, 979, 478, 684, 23570, 3646, 470, 477, 12932, 816, 30, 24, 16, 367, 39914, 478, 677, 34379, 12754, 470, 30060, 2611, 385, 2004, 1559, 3818, 1619, 12310, 28067, 282, 3182, 4966, 18, 40519, 3404, 282, 9547, 1279, 478, 34539, 288, 470, 1871, 10376, 289, 1441, 309, 505, 14540, 10952, 27, 12994, 18, 49933, 1687, 24374, 48598, 40948, 1508, 391, 599, 499, 1152, 554, 1624, 282, 1069, 12925, 2024, 639, 1409, 10207, 23651, 18, 11333, 7036, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 30522, 7545, 3314, 45921, 366, 15136, 41450, 1231, 5269, 322, 2564, 20330, 9587, 282, 37260, 9812, 16, 3387, 505, 42262, 38592, 48824, 10476, 35857, 685, 24214, 1390, 281, 22991, 282, 920, 1165, 18, 18720, 12988, 286, 309, 1293, 4776, 18, 31224, 30, 2176, 1335, 1758, 5785, 284, 2843, 478, 18386, 18, 8381, 470, 5458, 869, 2010, 2285, 8063, 17, 36951, 18, 1345, 939, 7187, 7945, 290, 5572, 4940, 4590, 10250, 41450, 1231, 5269, 282, 37260, 9812, 16, 2686, 7482, 5823, 7081, 289, 36158, 16, 289, 813, 18, 6754, 555, 339, 19753, 569, 3033, 322, 45601, 1954, 289, 281, 9795, 26763, 5221, 282, 8125, 18, 4320, 5, 18720, 41450, 1231, 5269, 510, 10476, 35857, 2820, 9934, 282, 7823, 16, 367, 7969, 17978, 840, 2753, 798, 10188, 16, 6442, 282, 37260, 9812, 18, 9176, 388, 6951, 1698, 9078, 2764, 349, 19092, 670, 575, 8969, 697, 309, 5421, 20665, 18, 478, 630, 970, 16, 374, 10476, 35857, 322, 5304, 5134, 3455, 282, 4940, 16, 656, 13517, 282, 2287, 4079, 334, 30367, 1612, 16, 510, 4848, 8818, 3203, 4966, 7179, 36341, 14179, 4025, 312, 1388, 18, 510, 48300, 726, 322, 17508, 414, 3089, 25283, 18, 4777, 25737, 16, 374, 453, 4243, 16, 3387, 656, 15545, 414, 939, 3084, 4982, 1810, 861, 33825, 1262, 4148, 2516, 729, 81, 9845, 2724, 657, 18, 3758, 16, 24878, 82, 18, 3758, 289, 729, 81, 6481, 23339, 79, 2751, 18, 3758, 6442, 16, 374, 37260, 9812, 6274, 3089, 25283, 10476, 312, 4681, 282, 16046, 4267, 4666, 16, 3085, 6954, 309, 19843, 3800, 41450, 1231, 5269, 18, 365, 4810, 6268, 977, 6574, 2959, 17001, 5990, 293, 5044, 16, 1029, 1943, 5848, 3800, 281, 43253, 635, 2124, 361, 309, 803, 575, 19843, 18, 46934, 15315, 2847, 16, 6733, 299, 4033, 20176, 289, 47635, 15508, 11785, 433, 29690, 965, 282, 3106, 26403, 18, 478, 30180, 1879, 2158, 37260, 9812, 10211, 47727, 3800, 16, 453, 428, 2218, 42262, 7757, 282, 13335, 16, 510, 17684, 47023, 41450, 1231, 286, 418, 282, 3177, 18078, 464, 282, 40821, 18, 510, 16923, 1103, 555, 324, 6174, 1372, 16, 417, 8249, 33883, 294, 2856, 12496, 454, 16, 515, 16, 294, 6095, 16, 1800, 492, 322, 9934, 18, 39084, 20749, 1081, 24098, 917, 24910, 552, 18, 11066, 3800, 12674, 487, 309, 1293, 4776, 16, 753, 10476, 35857, 2564, 4522, 1920, 18, 23760, 6910, 1514, 16, 1085, 22499, 784, 282, 13148, 294, 2856, 12496, 454, 16, 1085, 1030, 811, 16, 40209, 289, 2079, 310, 18, 18346, 10605, 349, 475, 4271, 9114, 1879, 2158, 4377, 332, 755, 10211, 47727, 3800, 16, 453, 428, 2218, 42262, 16, 7757, 282, 13335, 18, 16923, 1103, 555, 324, 6174, 1372, 16, 417, 8249, 33883, 294, 2856, 12496, 454, 16, 515, 16, 294, 6095, 16, 1800, 492, 322, 9934, 18, 39084, 20749, 1081, 24098, 917, 24910, 552, 18, 11066, 3800, 12674, 487, 309, 1293, 4776, 16, 753, 10476, 35857, 2564, 4522, 1920, 18, 23760, 6910, 1514, 16, 1085, 22499, 784, 282, 13148, 294, 2856, 12496, 454, 16, 1085, 1030, 811, 16, 40209, 289, 2079, 310, 18, 18346, 10605, 349, 475, 5, 36538, 783, 360, 15136, 41450, 1231, 5269, 46114, 74, 527, 2015, 81, 863, 2034, 534, 22077, 14688, 45498, 13, 34820, 1281, 7847, 282, 1032, 30, 10176, 29885, 56, 7323, 25838, 5, 18720, 15136, 41450, 1231, 5269, 510, 48824, 10476, 35857, 9650, 286, 411, 17, 431, 8037, 2689, 613, 5, 824, 21858, 3352, 16, 42262, 5403, 1672, 13147, 685, 24214, 1390, 5957, 1011, 924, 16, 428, 282, 3765, 1188, 38611, 329, 1047, 6371, 12052, 282, 920, 1165, 18, 10071, 276, 424, 2689, 3347, 309, 529, 7821, 5881, 304, 21526, 460, 9702, 12362, 44781, 16, 26, 8715, 473, 960, 36661, 5760, 699, 934, 282, 502, 808, 428, 15136, 30009, 478, 326, 638, 470, 309, 39830, 8715, 473, 2692, 22, 699, 814, 22324, 2232, 48541, 15516, 282, 1061, 18, 646, 21014, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 27766, 282, 1175, 11540, 1817, 19872, 14576, 16, 24126, 973, 1354, 1512, 18, 365, 31132, 1767, 34580, 6447, 13184, 29603, 35792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 473, 30072, 6792, 21719, 478, 29392, 932, 354, 470, 17089, 9065, 6047, 3828, 16, 374, 329, 18952, 5539, 29557, 22745, 13, 33513, 478, 618, 2165, 686, 597, 470, 510, 491, 30, 25, 18, 31842, 23063, 46234, 46164, 43078, 1782, 728, 385, 831, 268, 404, 18, 2877, 309, 505, 14540, 726, 1760, 12994, 473, 24, 15, 3572, 814, 832, 8272, 1101, 329, 1307, 28772, 478, 563, 645, 17, 20327, 7900, 470, 9001, 37448, 5269, 18, 2112, 41114, 25067, 282, 29730, 47143, 282, 7426, 7518, 38369, 18462, 1472, 2361, 48148, 18, 365, 2566, 547, 8267, 478, 983, 623, 288, 470, 281, 478, 45618, 486, 312, 470, 473, 25, 30, 22, 13, 37448, 5269, 7609, 309, 27027, 2734, 1143, 1912, 1879, 289, 5354, 2581, 1920, 1472, 3348, 4744, 1212, 18, 832, 795, 695, 16480, 5017, 4028, 5426, 289, 774, 34544, 478, 20181, 31799, 470, 11303, 17417, 348, 375, 18, 365, 8267, 1279, 478, 12003, 1832, 576, 470, 47143, 25521, 2846, 15277, 919, 16, 367, 505, 7193, 49266, 477, 12932, 491, 30, 24, 18, 1012, 2088, 1815, 349, 478, 563, 4013, 32796, 288, 470, 6070, 15020, 5269, 13016, 10133, 749, 12994, 281, 44391, 3779, 617, 478, 17, 21, 861, 37540, 32671, 7561, 478, 1659, 27254, 910, 537, 7633, 282, 11258, 322, 42969, 1510, 282, 23975, 808, 16, 309, 3177, 27027, 26307, 1475, 478, 23739, 17, 1916, 16460, 861, 18206, 19011, 3147, 9449, 9056, 510, 1032, 30, 21, 282, 4356, 17701, 18, 365, 5271, 478, 983, 271, 4194, 2070, 1285, 267, 470, 1763, 331, 9439, 15277, 3376, 289, 3012, 2607, 2581, 811, 13328, 778, 25236, 1651, 1145, 768, 1042, 526, 3852, 29499, 18, 25888, 6839, 13865, 4983, 282, 8267, 1251, 478, 677, 34379, 551, 304, 470, 289, 478, 822, 300, 1145, 304, 861, 34165, 1279, 478, 34539, 288, 470, 31089, 5157, 979, 478, 684, 23570, 3646, 470, 477, 12932, 816, 30, 24, 16, 367, 39914, 478, 677, 34379, 12754, 470, 30060, 2611, 385, 2004, 1559, 3818, 1619, 12310, 28067, 282, 3182, 4966, 18, 40519, 3404, 282, 9547, 1279, 478, 34539, 288, 470, 1871, 10376, 289, 1441, 309, 505, 14540, 10952, 27, 12994, 18, 49933, 1687, 24374, 48598, 40948, 1508, 391, 599, 499, 1152, 554, 1624, 282, 1069, 12925, 2024, 639, 1409, 10207, 23651, 18, 11333, 7036, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 30522, 7545, 3314, 45921, 366, 15136, 41450, 1231, 5269, 322, 2564, 20330, 9587, 282, 37260, 9812, 16, 3387, 505, 42262, 38592, 48824, 10476, 35857, 685, 24214, 1390, 281, 22991, 282, 920, 1165, 18, 18720, 12988, 286, 309, 1293, 4776, 18, 31224, 30, 2176, 1335, 1758, 5785, 284, 2843, 478, 18386, 18, 8381, 470, 5458, 869, 2010, 2285, 8063, 17, 36951, 18, 1345, 939, 7187, 7945, 290, 5572, 4940, 4590, 10250, 41450, 1231, 5269, 282, 37260, 9812, 16, 2686, 7482, 5823, 7081, 289, 36158, 16, 289, 813, 18, 6754, 555, 339, 19753, 569, 3033, 322, 45601, 1954, 289, 281, 9795, 26763, 5221, 282, 8125, 18, 4320, 5, 18720, 41450, 1231, 5269, 510, 10476, 35857, 2820, 9934, 282, 7823, 16, 367, 7969, 17978, 840, 2753, 798, 10188, 16, 6442, 282, 37260, 9812, 18, 9176, 388, 6951, 1698, 9078, 2764, 349, 19092, 670, 575, 8969, 697, 309, 5421, 20665, 18, 478, 630, 970, 16, 374, 10476, 35857, 322, 5304, 5134, 3455, 282, 4940, 16, 656, 13517, 282, 2287, 4079, 334, 30367, 1612, 16, 510, 4848, 8818, 3203, 4966, 7179, 36341, 14179, 4025, 312, 1388, 18, 510, 48300, 726, 322, 17508, 414, 3089, 25283, 18, 4777, 25737, 16, 374, 453, 4243, 16, 3387, 656, 15545, 414, 939, 3084, 4982, 1810, 861, 33825, 1262, 4148, 2516, 729, 81, 9845, 2724, 657, 18, 3758, 16, 24878, 82, 18, 3758, 289, 729, 81, 6481, 23339, 79, 2751, 18, 3758, 6442, 16, 374, 37260, 9812, 6274, 3089, 25283, 10476, 312, 4681, 282, 16046, 4267, 4666, 16, 3085, 6954, 309, 19843, 3800, 41450, 1231, 5269, 18, 365, 4810, 6268, 977, 6574, 2959, 17001, 5990, 293, 5044, 16, 1029, 1943, 5848, 3800, 281, 43253, 635, 2124, 361, 309, 803, 575, 19843, 18, 46934, 15315, 2847, 16, 6733, 299, 4033, 20176, 289, 47635, 15508, 11785, 433, 29690, 965, 282, 3106, 26403, 18, 478, 30180, 1879, 2158, 37260, 9812, 10211, 47727, 3800, 16, 453, 428, 2218, 42262, 7757, 282, 13335, 16, 510, 17684, 47023, 41450, 1231, 286, 418, 282, 3177, 18078, 464, 282, 40821, 18, 510, 16923, 1103, 555, 324, 6174, 1372, 16, 417, 8249, 33883, 294, 2856, 12496, 454, 16, 515, 16, 294, 6095, 16, 1800, 492, 322, 9934, 18, 39084, 20749, 1081, 24098, 917, 24910, 552, 18, 11066, 3800, 12674, 487, 309, 1293, 4776, 16, 753, 10476, 35857, 2564, 4522, 1920, 18, 23760, 6910, 1514, 16, 1085, 22499, 784, 282, 13148, 294, 2856, 12496, 454, 16, 1085, 1030, 811, 16, 40209, 289, 2079, 310, 18, 18346, 10605, 349, 475, 4271, 9114, 1879, 2158, 4377, 332, 755, 10211, 47727, 3800, 16, 453, 428, 2218, 42262, 16, 7757, 282, 13335, 18, 16923, 1103, 555, 324, 6174, 1372, 16, 417, 8249, 33883, 294, 2856, 12496, 454, 16, 515, 16, 294, 6095, 16, 1800, 492, 322, 9934, 18, 39084, 20749, 1081, 24098, 917, 24910, 552, 18, 11066, 3800, 12674, 487, 309, 1293, 4776, 16, 753, 10476, 35857, 2564, 4522, 1920, 18, 23760, 6910, 1514, 16, 1085, 22499, 784, 282, 13148, 294, 2856, 12496, 454, 16, 1085, 1030, 811, 16, 40209, 289, 2079, 310, 18, 18346, 10605, 349, 475, 5, 36538, 783, 360, 15136, 41450, 1231, 5269, 46114, 74, 527, 2015, 81, 863, 2034, 534, 22077, 14688, 45498, 13, 34820, 1281, 7847, 282, 1032, 30, 10176, 29885, 56, 7323, 25838, 5, 18720, 15136, 41450, 1231, 5269, 510, 48824, 10476, 35857, 9650, 286, 411, 17, 431, 8037, 2689, 613, 5, 824, 21858, 3352, 16, 42262, 5403, 1672, 13147, 685, 24214, 1390, 5957, 1011, 924, 16, 428, 282, 3765, 1188, 38611, 329, 1047, 6371, 12052, 282, 920, 1165, 18, 10071, 276, 424, 2689, 3347, 309, 529, 7821, 5881, 304, 21526, 460, 9702, 12362, 44781, 16, 26, 8715, 473, 960, 36661, 5760, 699, 934, 282, 502, 808, 428, 15136, 30009, 478, 326, 638, 470, 309, 39830, 8715, 473, 2692, 22, 699, 814, 22324, 2232, 48541, 15516, 282, 1061, 18, 646, 21014, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 27766, 282, 1175, 11540, 1817, 19872, 14576, 16, 24126, 973, 1354, 1512, 18, 365, 31132, 1767, 34580, 6447, 13184, 29603, 35792 ]
[ 9286, 289, 6274, 424, 40294, 7005, 641, 16235, 12091, 18, 365, 3507, 289, 14671, 320, 615, 282, 4542, 10372, 1901, 5841, 368, 422, 2640, 1532, 267, 1952, 652, 962, 4030, 2852, 1135, 18, 31224, 30, 677, 3507, 282, 3765, 281, 9671, 276, 309, 11084, 11540, 3655, 26058, 281, 12070, 422, 2640, 1532, 35223, 18, 365, 4542, 10372, 1901, 5841, 368, 309, 30619, 5030, 770, 17219, 697, 18407, 309, 860, 7333, 2014, 48429, 1302, 3016, 2148, 2307, 396, 23074, 1737, 40099, 2906, 329, 2036, 3307, 4621, 289, 351, 1737, 1949, 19177, 2543, 16, 22466, 2339, 282, 21031, 37556, 18, 824, 37980, 2508, 6556, 16, 2123, 289, 667, 986, 16, 40761, 282, 13335, 18, 608, 48262, 18584, 6025, 15831, 276, 12899, 4091, 18, 3703, 17, 7745, 10383, 1302, 3016, 2148, 2307, 1038, 21036, 18, 365, 11877, 10372, 1924, 25678, 26727, 289, 282, 14671, 320, 615, 18, 985, 4848, 30572, 478, 15210, 17, 14237, 44480, 470, 5854, 22200, 8973, 1681, 1184, 314, 1051, 16, 477, 1740, 609, 887, 1251, 1807, 478, 33051, 9070, 861, 365, 6031, 10383, 16, 7296, 1779, 42910, 17, 22, 3572, 23, 16, 28776, 364, 3811, 15580, 282, 36117, 17188, 478, 1515, 15676, 910, 1011, 1660, 505, 7352, 49033, 309, 1324, 4368, 25969, 289, 47676, 281, 38392, 3565, 47980, 517, 18, 459, 547, 29898, 360, 10687, 47774, 555, 309, 40099, 3359, 5554, 478, 33051, 9070, 470, 289, 20806, 701, 18, 7409, 10383, 17, 5136, 4961, 16, 11727, 49405, 16, 4893, 38094, 364, 16, 322, 28291, 281, 18459, 289, 28776, 364, 42910, 17, 22, 2479, 27, 16, 1029, 6820, 282, 15301, 17188, 18, 365, 6031, 282, 14154, 5823, 37417, 42910, 17, 22, 3572, 23, 16, 47980, 517, 289, 13347, 478, 1515, 19611, 861, 14438, 5907, 5630, 9994, 510, 2852, 1135, 510, 24126, 332, 36835, 16, 8612, 12452, 282, 11084, 282, 10989, 394, 3899, 1212, 3948, 45721, 6456, 18, 640, 2261, 17, 277, 5469, 298, 15505, 25522, 10989, 394, 293, 615, 510, 29707, 16163, 26198, 8159, 282, 8159, 1871, 18464, 28232, 18, 31139, 289, 2846, 38276, 2059, 411, 1129, 9100, 309, 2468, 18, 608, 4550, 22542, 10383, 16, 492, 575, 9353, 742, 16, 6088, 1544, 18, 1367, 2629, 624, 20393, 1055, 4511, 12744, 16, 428, 289, 502, 16, 685, 520, 492, 17948, 18, 365, 31132, 1767, 11540, 26058, 281, 7331, 536, 37349, 13587, 349, 23010, 18, 985, 4848, 478, 46088, 18, 8381, 470, 5854, 11925, 672, 334, 1767, 4137, 7857, 20149, 16, 12891, 17122, 450, 18819, 6070, 832, 24119, 20149, 282, 18258, 360, 1810, 808, 309, 3177, 26979, 21031, 29603, 9286, 18, 640, 2064, 33529, 282, 2846, 4079, 2123, 3802, 309, 23769, 32312, 42700, 328, 510, 608, 29088, 778, 18, 824, 39735, 5520, 7387, 15672, 37592, 14999, 2016, 16, 2588, 23019, 322, 3973, 289, 29127, 282, 294, 306, 577, 18, 824, 899, 3833, 1712, 43200, 309, 2468, 18, 13925, 1551, 15508, 23481, 1359, 39300, 329, 1710, 28182, 22264, 315, 17, 8796, 1798, 516, 34840, 289, 4005, 3595, 15831, 276, 42219, 18, 1540, 3452, 755, 832, 24119, 20149, 322, 1559, 32846, 1756, 19524, 16, 2686, 8181, 8945, 8217, 5747, 18, 1937, 505, 21538, 309, 641, 16235, 16657, 16, 3436, 17, 7745, 2355, 265, 31520, 8409, 24978, 37623, 478, 1567, 7207, 7005, 861, 832, 24119, 20149, 16, 334, 3163, 7857, 43055, 16, 1055, 322, 20817, 16, 1830, 349, 6179, 554, 282, 1003, 1636, 7237, 2100, 294, 3130, 5736, 953, 2714, 1569, 13742, 12208, 519, 1760, 17, 1508, 21251, 24164, 18, 824, 8872, 10438, 282, 13673, 4701, 840, 1142, 286, 1247, 290, 43279, 14132, 1101, 18, 889, 726, 7504, 3022, 349, 4722, 1205, 16, 785, 8811, 13587, 31132, 1767, 12530, 15569, 11232, 14576, 18, 996, 16, 1286, 3750, 282, 46803, 16, 309, 45228, 7626, 8778, 317, 26902, 1275, 289, 40125, 718, 35859, 16, 35130, 2554, 25, 16, 349, 23010, 2024, 6820, 1003, 1636, 2451, 14619, 22200, 4210, 26255, 523, 1624, 396, 11845, 42776, 2541, 309, 14856, 1405, 289, 32096, 282, 9404, 16675, 291, 18, 365, 3198, 24110, 17, 7745, 9501, 320, 289, 16279, 17, 7745, 4322, 5684, 15649, 17336, 510, 15831, 276, 8005, 321, 1385, 19500, 16, 28182, 22264, 315, 17, 8796, 1798, 516, 34840, 16, 9209, 296, 25949, 9790, 18, 41242, 2508, 309, 1756, 13305, 8811, 22200, 34309, 44604, 613, 17, 2106, 291, 837, 18, 32861, 334, 2856, 6619, 45076, 16, 5894, 26255, 19137, 34300, 16, 289, 492, 722, 935, 5354, 30913, 9587, 18, 1178, 373, 282, 12462, 6396, 1293, 2868, 322, 6605, 10680, 16, 309, 1754, 21349, 637, 26058, 16, 14619, 5883, 373, 3624, 2355, 265, 301, 2409, 18, 365, 6031, 26255, 523, 5678, 424, 1551, 18, 1912, 12360, 16, 3884, 33780, 505, 16, 1038, 639, 19056, 14033, 294, 8217, 18, 5043, 16, 15857, 322, 29876, 30, 430, 3597, 334, 44899, 280, 1147, 2618, 5133, 4546, 5034, 451, 4126, 282, 4599, 26255, 3340, 685, 2010, 2365, 18, 26255, 523, 475, 808, 14160, 6820, 309, 21431, 510, 975, 1472, 3711, 32668, 281, 10878, 282, 13587, 18, 365, 3765, 281, 1061, 309, 1286, 4238, 26548, 1583, 370, 1148, 13587, 17711, 1614, 936, 268, 15512, 309, 23769, 424, 14208, 1212, 29603, 1360, 14055, 1021, 43175, 9690, 17, 11884, 5849, 39050, 18, 10334, 360, 20474, 28564, 16675, 16342, 309, 2468, 16, 1614, 936, 268, 15512, 3508, 15569, 11232, 8150, 289, 36830, 300, 3555, 30979, 18, 15055, 266, 13305, 289, 12902, 9353, 837, 3225, 9025, 1472, 1248, 1293, 2868, 16, 2391, 13076, 16, 374, 1614, 936, 268, 15512, 685, 17948, 282, 2083, 309, 3629, 16, 322, 3225, 18, 6158, 1195, 1498, 1055, 1038, 322, 12665, 16, 17627, 5367, 1320, 3164, 309, 21431, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12354, 282, 2145, 4137, 39896, 895, 34611, 1920, 281, 2689, 3347, 6315, 3032, 1870, 298, 303, 323, 18, 1367, 803, 3828, 505, 21719, 4671, 19913, 8009, 464, 18, 439, 1215, 9680, 14769, 3714, 16275, 12198, 22875, 5888, 30214, 9180, 3957, 16, 753, 505, 21166, 2234, 34611, 811, 281, 28500, 378, 7731, 45340, 18, 31224, 30, 677, 13673, 16741, 3092, 4681, 2422, 334, 834, 440, 2078, 33599, 42, 16, 33599, 51, 16, 1234, 40344, 289, 1234, 20989, 28505, 39896, 10412, 30639, 281, 4657, 304, 1258, 8676, 17, 11108, 405, 5228, 482, 635, 18, 2046, 505, 7193, 16, 8084, 16, 2271, 3626, 282, 2286, 6755, 473, 7223, 39896, 16, 7089, 16, 15488, 35328, 272, 9587, 5228, 482, 343, 934, 726, 17381, 1893, 1195, 867, 16, 1085, 575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9286, 289, 6274, 424, 40294, 7005, 641, 16235, 12091, 18, 365, 3507, 289, 14671, 320, 615, 282, 4542, 10372, 1901, 5841, 368, 422, 2640, 1532, 267, 1952, 652, 962, 4030, 2852, 1135, 18, 31224, 30, 677, 3507, 282, 3765, 281, 9671, 276, 309, 11084, 11540, 3655, 26058, 281, 12070, 422, 2640, 1532, 35223, 18, 365, 4542, 10372, 1901, 5841, 368, 309, 30619, 5030, 770, 17219, 697, 18407, 309, 860, 7333, 2014, 48429, 1302, 3016, 2148, 2307, 396, 23074, 1737, 40099, 2906, 329, 2036, 3307, 4621, 289, 351, 1737, 1949, 19177, 2543, 16, 22466, 2339, 282, 21031, 37556, 18, 824, 37980, 2508, 6556, 16, 2123, 289, 667, 986, 16, 40761, 282, 13335, 18, 608, 48262, 18584, 6025, 15831, 276, 12899, 4091, 18, 3703, 17, 7745, 10383, 1302, 3016, 2148, 2307, 1038, 21036, 18, 365, 11877, 10372, 1924, 25678, 26727, 289, 282, 14671, 320, 615, 18, 985, 4848, 30572, 478, 15210, 17, 14237, 44480, 470, 5854, 22200, 8973, 1681, 1184, 314, 1051, 16, 477, 1740, 609, 887, 1251, 1807, 478, 33051, 9070, 861, 365, 6031, 10383, 16, 7296, 1779, 42910, 17, 22, 3572, 23, 16, 28776, 364, 3811, 15580, 282, 36117, 17188, 478, 1515, 15676, 910, 1011, 1660, 505, 7352, 49033, 309, 1324, 4368, 25969, 289, 47676, 281, 38392, 3565, 47980, 517, 18, 459, 547, 29898, 360, 10687, 47774, 555, 309, 40099, 3359, 5554, 478, 33051, 9070, 470, 289, 20806, 701, 18, 7409, 10383, 17, 5136, 4961, 16, 11727, 49405, 16, 4893, 38094, 364, 16, 322, 28291, 281, 18459, 289, 28776, 364, 42910, 17, 22, 2479, 27, 16, 1029, 6820, 282, 15301, 17188, 18, 365, 6031, 282, 14154, 5823, 37417, 42910, 17, 22, 3572, 23, 16, 47980, 517, 289, 13347, 478, 1515, 19611, 861, 14438, 5907, 5630, 9994, 510, 2852, 1135, 510, 24126, 332, 36835, 16, 8612, 12452, 282, 11084, 282, 10989, 394, 3899, 1212, 3948, 45721, 6456, 18, 640, 2261, 17, 277, 5469, 298, 15505, 25522, 10989, 394, 293, 615, 510, 29707, 16163, 26198, 8159, 282, 8159, 1871, 18464, 28232, 18, 31139, 289, 2846, 38276, 2059, 411, 1129, 9100, 309, 2468, 18, 608, 4550, 22542, 10383, 16, 492, 575, 9353, 742, 16, 6088, 1544, 18, 1367, 2629, 624, 20393, 1055, 4511, 12744, 16, 428, 289, 502, 16, 685, 520, 492, 17948, 18, 365, 31132, 1767, 11540, 26058, 281, 7331, 536, 37349, 13587, 349, 23010, 18, 985, 4848, 478, 46088, 18, 8381, 470, 5854, 11925, 672, 334, 1767, 4137, 7857, 20149, 16, 12891, 17122, 450, 18819, 6070, 832, 24119, 20149, 282, 18258, 360, 1810, 808, 309, 3177, 26979, 21031, 29603, 9286, 18, 640, 2064, 33529, 282, 2846, 4079, 2123, 3802, 309, 23769, 32312, 42700, 328, 510, 608, 29088, 778, 18, 824, 39735, 5520, 7387, 15672, 37592, 14999, 2016, 16, 2588, 23019, 322, 3973, 289, 29127, 282, 294, 306, 577, 18, 824, 899, 3833, 1712, 43200, 309, 2468, 18, 13925, 1551, 15508, 23481, 1359, 39300, 329, 1710, 28182, 22264, 315, 17, 8796, 1798, 516, 34840, 289, 4005, 3595, 15831, 276, 42219, 18, 1540, 3452, 755, 832, 24119, 20149, 322, 1559, 32846, 1756, 19524, 16, 2686, 8181, 8945, 8217, 5747, 18, 1937, 505, 21538, 309, 641, 16235, 16657, 16, 3436, 17, 7745, 2355, 265, 31520, 8409, 24978, 37623, 478, 1567, 7207, 7005, 861, 832, 24119, 20149, 16, 334, 3163, 7857, 43055, 16, 1055, 322, 20817, 16, 1830, 349, 6179, 554, 282, 1003, 1636, 7237, 2100, 294, 3130, 5736, 953, 2714, 1569, 13742, 12208, 519, 1760, 17, 1508, 21251, 24164, 18, 824, 8872, 10438, 282, 13673, 4701, 840, 1142, 286, 1247, 290, 43279, 14132, 1101, 18, 889, 726, 7504, 3022, 349, 4722, 1205, 16, 785, 8811, 13587, 31132, 1767, 12530, 15569, 11232, 14576, 18, 996, 16, 1286, 3750, 282, 46803, 16, 309, 45228, 7626, 8778, 317, 26902, 1275, 289, 40125, 718, 35859, 16, 35130, 2554, 25, 16, 349, 23010, 2024, 6820, 1003, 1636, 2451, 14619, 22200, 4210, 26255, 523, 1624, 396, 11845, 42776, 2541, 309, 14856, 1405, 289, 32096, 282, 9404, 16675, 291, 18, 365, 3198, 24110, 17, 7745, 9501, 320, 289, 16279, 17, 7745, 4322, 5684, 15649, 17336, 510, 15831, 276, 8005, 321, 1385, 19500, 16, 28182, 22264, 315, 17, 8796, 1798, 516, 34840, 16, 9209, 296, 25949, 9790, 18, 41242, 2508, 309, 1756, 13305, 8811, 22200, 34309, 44604, 613, 17, 2106, 291, 837, 18, 32861, 334, 2856, 6619, 45076, 16, 5894, 26255, 19137, 34300, 16, 289, 492, 722, 935, 5354, 30913, 9587, 18, 1178, 373, 282, 12462, 6396, 1293, 2868, 322, 6605, 10680, 16, 309, 1754, 21349, 637, 26058, 16, 14619, 5883, 373, 3624, 2355, 265, 301, 2409, 18, 365, 6031, 26255, 523, 5678, 424, 1551, 18, 1912, 12360, 16, 3884, 33780, 505, 16, 1038, 639, 19056, 14033, 294, 8217, 18, 5043, 16, 15857, 322, 29876, 30, 430, 3597, 334, 44899, 280, 1147, 2618, 5133, 4546, 5034, 451, 4126, 282, 4599, 26255, 3340, 685, 2010, 2365, 18, 26255, 523, 475, 808, 14160, 6820, 309, 21431, 510, 975, 1472, 3711, 32668, 281, 10878, 282, 13587, 18, 365, 3765, 281, 1061, 309, 1286, 4238, 26548, 1583, 370, 1148, 13587, 17711, 1614, 936, 268, 15512, 309, 23769, 424, 14208, 1212, 29603, 1360, 14055, 1021, 43175, 9690, 17, 11884, 5849, 39050, 18, 10334, 360, 20474, 28564, 16675, 16342, 309, 2468, 16, 1614, 936, 268, 15512, 3508, 15569, 11232, 8150, 289, 36830, 300, 3555, 30979, 18, 15055, 266, 13305, 289, 12902, 9353, 837, 3225, 9025, 1472, 1248, 1293, 2868, 16, 2391, 13076, 16, 374, 1614, 936, 268, 15512, 685, 17948, 282, 2083, 309, 3629, 16, 322, 3225, 18, 6158, 1195, 1498, 1055, 1038, 322, 12665, 16, 17627, 5367, 1320, 3164, 309, 21431, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12354, 282, 2145, 4137, 39896, 895, 34611, 1920, 281, 2689, 3347, 6315, 3032, 1870, 298, 303, 323, 18, 1367, 803, 3828, 505, 21719, 4671, 19913, 8009, 464, 18, 439, 1215, 9680, 14769, 3714, 16275, 12198, 22875, 5888, 30214, 9180, 3957, 16, 753, 505, 21166, 2234, 34611, 811, 281, 28500, 378, 7731, 45340, 18, 31224, 30, 677, 13673, 16741, 3092, 4681, 2422, 334, 834, 440, 2078, 33599, 42, 16, 33599, 51, 16, 1234, 40344, 289, 1234, 20989, 28505, 39896, 10412, 30639, 281, 4657, 304, 1258, 8676, 17, 11108, 405, 5228, 482, 635, 18, 2046, 505, 7193, 16, 8084, 16, 2271, 3626, 282, 2286, 6755, 473, 7223, 39896, 16, 7089, 16, 15488, 35328, 272, 9587, 5228, 482, 343, 934, 726, 17381, 1893, 1195, 867, 16, 1085, 575 ]
[ 840, 13357, 7739, 2409, 3285, 613, 18, 42621, 320, 39896, 4671, 19913, 8009, 464, 282, 7337, 8054, 272, 37016, 33036, 2716, 20939, 3828, 16, 374, 1939, 3802, 4137, 895, 714, 1633, 506, 9640, 281, 6315, 3032, 1870, 298, 303, 323, 18, 1870, 298, 1869, 510, 1176, 411, 1678, 7483, 9019, 1079, 4559, 16, 9864, 3887, 1545, 5843, 1477, 473, 3161, 445, 492, 26869, 300, 35328, 20472, 814, 1483, 4404, 271, 2555, 17, 7745, 38592, 1472, 1272, 4968, 18, 7200, 510, 44771, 306, 39896, 282, 11130, 5021, 779, 473, 511, 17, 431, 9492, 1489, 282, 1533, 17, 277, 36493, 934, 2992, 510, 334, 6432, 1876, 18774, 2142, 15254, 482, 454, 282, 12335, 4479, 17, 361, 18, 824, 3163, 8009, 464, 16, 12350, 16, 374, 28662, 1251, 1870, 298, 303, 323, 289, 39896, 8192, 282, 6835, 17, 17553, 16, 282, 12710, 3016, 7943, 20983, 18, 439, 1215, 9680, 9001, 12198, 22875, 5888, 30214, 9180, 282, 20175, 281, 1302, 36643, 50, 381, 5495, 40257, 16, 374, 3800, 1251, 505, 21166, 3328, 289, 6576, 536, 26109, 1234, 20989, 28500, 378, 7731, 45340, 1559, 373, 478, 872, 18871, 7509, 536, 31342, 861, 478, 35416, 869, 827, 373, 30639, 12665, 282, 6835, 17, 17553, 16, 1696, 1122, 6174, 30701, 3412, 11042, 436, 1891, 910, 510, 1109, 30214, 9180, 18, 365, 5017, 7314, 11877, 378, 7731, 2931, 7609, 16, 4213, 16, 3560, 22070, 3800, 282, 24087, 18, 3771, 3141, 334, 6432, 1876, 21035, 1169, 613, 23932, 768, 4474, 16, 16632, 343, 282, 9019, 1079, 9500, 304, 32210, 18, 768, 1285, 349, 6173, 282, 7711, 2002, 322, 41723, 289, 322, 13117, 5432, 5860, 1855, 6106, 334, 5083, 38482, 6059, 282, 2968, 3714, 507, 18, 996, 16, 5548, 3907, 2815, 16, 374, 48539, 40535, 1429, 16, 2588, 3909, 354, 6147, 450, 28358, 688, 711, 1891, 3024, 8610, 44771, 306, 39896, 309, 21526, 460, 9702, 16, 906, 35363, 3615, 8087, 8009, 464, 16, 13428, 13342, 19536, 668, 34566, 18, 8009, 464, 1694, 768, 4474, 749, 4612, 322, 8731, 18, 42621, 320, 14200, 39896, 13875, 282, 1551, 309, 16035, 883, 718, 1169, 613, 18, 478, 24659, 1623, 13101, 6726, 16, 510, 2815, 8009, 464, 18, 510, 740, 2504, 322, 895, 8249, 12022, 282, 502, 16, 374, 32752, 4011, 14200, 39896, 16, 961, 5666, 9961, 9461, 2159, 8884, 16, 24554, 414, 373, 40535, 9067, 282, 11959, 21113, 670, 20800, 35363, 3615, 1519, 39247, 18, 768, 1285, 3280, 364, 12127, 31497, 2198, 18, 365, 7823, 492, 1943, 1904, 8695, 16, 3229, 828, 21071, 5729, 861, 1178, 1551, 4759, 3748, 835, 5255, 8009, 464, 16, 502, 12859, 454, 16684, 10556, 519, 25817, 37168, 4500, 18, 670, 47831, 23424, 519, 7518, 4776, 18, 11333, 7036, 289, 14326, 4664, 942, 5298, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 478, 20377, 748, 2503, 470, 9829, 10056, 10428, 1011, 9764, 1195, 478, 13467, 304, 470, 1109, 16, 374, 726, 16560, 282, 4492, 5973, 778, 22979, 17, 21131, 378, 983, 1098, 18, 9300, 12954, 10078, 17, 44606, 16095, 33328, 48182, 4167, 14370, 286, 16, 428, 505, 7650, 42215, 16, 289, 16328, 35908, 16, 2006, 475, 4966, 282, 12013, 10258, 453, 2950, 16287, 18, 31224, 30, 471, 20377, 748, 399, 470, 23497, 9288, 2200, 14497, 21861, 651, 20662, 16410, 9410, 1715, 374, 7455, 555, 282, 22979, 17, 21131, 378, 983, 1098, 21166, 2466, 19904, 10056, 409, 342, 1624, 961, 6054, 13747, 349, 1977, 496, 478, 13555, 448, 4035, 5660, 470, 289, 1033, 3946, 2523, 478, 13467, 861, 13630, 21755, 18042, 1867, 859, 320, 413, 2986, 289, 478, 29428, 272, 17, 26431, 9977, 470, 334, 24939, 9691, 395, 289, 8105, 1867, 3960, 13776, 778, 9518, 18, 6068, 17789, 282, 33215, 11202, 289, 26123, 1801, 1441, 895, 687, 478, 13467, 17, 42433, 350, 1919, 470, 651, 3216, 411, 46405, 12146, 282, 22979, 17, 21131, 687, 282, 970, 1750, 16, 827, 47528, 282, 22788, 3437, 21273, 16, 6895, 329, 18866, 1081, 475, 16171, 46788, 9827, 264, 289, 8026, 756, 2822, 1190, 1756, 282, 7285, 6589, 3303, 582, 14118, 18, 365, 16876, 8267, 7561, 1793, 23510, 2497, 27675, 1243, 291, 873, 1642, 16004, 428, 445, 281, 478, 20377, 748, 14770, 910, 1029, 764, 895, 322, 9555, 282, 22979, 17, 21131, 16, 827, 16, 282, 1423, 3678, 16, 11932, 305, 21446, 1421, 5790, 16, 6895, 289, 478, 13467, 272, 17, 42433, 350, 1919, 470, 281, 445, 5793, 1033, 1533, 12994, 18, 2949, 924, 16, 282, 1949, 22788, 38369, 1943, 11932, 319, 289, 478, 29428, 861, 2046, 282, 502, 16, 374, 478, 20377, 748, 399, 470, 1011, 2900, 36272, 26968, 847, 519, 3437, 18042, 1027, 9410, 16, 10056, 10428, 322, 19127, 18, 12660, 1011, 9764, 1195, 478, 13467, 304, 470, 33803, 1703, 322, 1109, 373, 16, 374, 282, 16702, 281, 478, 29428, 304, 910, 478, 11459, 313, 966, 11717, 304, 470, 289, 478, 13467, 304, 17, 42433, 350, 1919, 470, 322, 4040, 3515, 344, 1676, 12643, 1116, 5547, 13764, 4966, 16, 6895, 19874, 7120, 418, 324, 4468, 17098, 5044, 281, 457, 743, 4013, 547, 4048, 3874, 16, 367, 1038, 531, 10805, 13224, 332, 46046, 312, 18, 12280, 19486, 16, 374, 7736, 329, 859, 320, 11701, 289, 478, 1182, 10224, 6566, 470, 1764, 483, 276, 288, 401, 18, 478, 4348, 282, 378, 983, 1098, 6547, 939, 3084, 33140, 16, 17518, 282, 4698, 3303, 454, 289, 12509, 10487, 2900, 9917, 347, 428, 478, 13467, 861, 608, 478, 28345, 470, 685, 4722, 9700, 16, 289, 492, 9665, 282, 2220, 3418, 873, 33489, 18, 459, 417, 6317, 16, 374, 8404, 11860, 414, 2089, 43365, 18, 1345, 12503, 16, 374, 840, 14377, 549, 2117, 16, 3387, 6418, 16, 428, 42262, 8607, 24226, 289, 6352, 405, 11347, 281, 14118, 289, 35861, 294, 2856, 2384, 1616, 18, 640, 9764, 656, 3984, 6281, 16, 515, 349, 48411, 1954, 309, 1129, 651, 1003, 16, 651, 1109, 492, 28312, 478, 32485, 18, 8381, 861, 651, 824, 4317, 1879, 4244, 873, 289, 3888, 2393, 20113, 16355, 1262, 6281, 322, 1747, 651, 3984, 29828, 14393, 874, 870, 26070, 27218, 50166, 18, 3510, 282, 34034, 13189, 16287, 1965, 8182, 12525, 4392, 26995, 29653, 16, 2391, 3984, 7934, 1512, 46599, 861, 510, 20516, 4251, 16, 374, 6174, 14702, 25428, 282, 25307, 8445, 309, 8186, 3437, 9839, 14210, 6870, 35, 651, 996, 656, 541, 978, 697, 289, 24208, 18, 740, 827, 373, 329, 813, 322, 639, 8182, 5781, 12525, 16, 656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 840, 13357, 7739, 2409, 3285, 613, 18, 42621, 320, 39896, 4671, 19913, 8009, 464, 282, 7337, 8054, 272, 37016, 33036, 2716, 20939, 3828, 16, 374, 1939, 3802, 4137, 895, 714, 1633, 506, 9640, 281, 6315, 3032, 1870, 298, 303, 323, 18, 1870, 298, 1869, 510, 1176, 411, 1678, 7483, 9019, 1079, 4559, 16, 9864, 3887, 1545, 5843, 1477, 473, 3161, 445, 492, 26869, 300, 35328, 20472, 814, 1483, 4404, 271, 2555, 17, 7745, 38592, 1472, 1272, 4968, 18, 7200, 510, 44771, 306, 39896, 282, 11130, 5021, 779, 473, 511, 17, 431, 9492, 1489, 282, 1533, 17, 277, 36493, 934, 2992, 510, 334, 6432, 1876, 18774, 2142, 15254, 482, 454, 282, 12335, 4479, 17, 361, 18, 824, 3163, 8009, 464, 16, 12350, 16, 374, 28662, 1251, 1870, 298, 303, 323, 289, 39896, 8192, 282, 6835, 17, 17553, 16, 282, 12710, 3016, 7943, 20983, 18, 439, 1215, 9680, 9001, 12198, 22875, 5888, 30214, 9180, 282, 20175, 281, 1302, 36643, 50, 381, 5495, 40257, 16, 374, 3800, 1251, 505, 21166, 3328, 289, 6576, 536, 26109, 1234, 20989, 28500, 378, 7731, 45340, 1559, 373, 478, 872, 18871, 7509, 536, 31342, 861, 478, 35416, 869, 827, 373, 30639, 12665, 282, 6835, 17, 17553, 16, 1696, 1122, 6174, 30701, 3412, 11042, 436, 1891, 910, 510, 1109, 30214, 9180, 18, 365, 5017, 7314, 11877, 378, 7731, 2931, 7609, 16, 4213, 16, 3560, 22070, 3800, 282, 24087, 18, 3771, 3141, 334, 6432, 1876, 21035, 1169, 613, 23932, 768, 4474, 16, 16632, 343, 282, 9019, 1079, 9500, 304, 32210, 18, 768, 1285, 349, 6173, 282, 7711, 2002, 322, 41723, 289, 322, 13117, 5432, 5860, 1855, 6106, 334, 5083, 38482, 6059, 282, 2968, 3714, 507, 18, 996, 16, 5548, 3907, 2815, 16, 374, 48539, 40535, 1429, 16, 2588, 3909, 354, 6147, 450, 28358, 688, 711, 1891, 3024, 8610, 44771, 306, 39896, 309, 21526, 460, 9702, 16, 906, 35363, 3615, 8087, 8009, 464, 16, 13428, 13342, 19536, 668, 34566, 18, 8009, 464, 1694, 768, 4474, 749, 4612, 322, 8731, 18, 42621, 320, 14200, 39896, 13875, 282, 1551, 309, 16035, 883, 718, 1169, 613, 18, 478, 24659, 1623, 13101, 6726, 16, 510, 2815, 8009, 464, 18, 510, 740, 2504, 322, 895, 8249, 12022, 282, 502, 16, 374, 32752, 4011, 14200, 39896, 16, 961, 5666, 9961, 9461, 2159, 8884, 16, 24554, 414, 373, 40535, 9067, 282, 11959, 21113, 670, 20800, 35363, 3615, 1519, 39247, 18, 768, 1285, 3280, 364, 12127, 31497, 2198, 18, 365, 7823, 492, 1943, 1904, 8695, 16, 3229, 828, 21071, 5729, 861, 1178, 1551, 4759, 3748, 835, 5255, 8009, 464, 16, 502, 12859, 454, 16684, 10556, 519, 25817, 37168, 4500, 18, 670, 47831, 23424, 519, 7518, 4776, 18, 11333, 7036, 289, 14326, 4664, 942, 5298, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 478, 20377, 748, 2503, 470, 9829, 10056, 10428, 1011, 9764, 1195, 478, 13467, 304, 470, 1109, 16, 374, 726, 16560, 282, 4492, 5973, 778, 22979, 17, 21131, 378, 983, 1098, 18, 9300, 12954, 10078, 17, 44606, 16095, 33328, 48182, 4167, 14370, 286, 16, 428, 505, 7650, 42215, 16, 289, 16328, 35908, 16, 2006, 475, 4966, 282, 12013, 10258, 453, 2950, 16287, 18, 31224, 30, 471, 20377, 748, 399, 470, 23497, 9288, 2200, 14497, 21861, 651, 20662, 16410, 9410, 1715, 374, 7455, 555, 282, 22979, 17, 21131, 378, 983, 1098, 21166, 2466, 19904, 10056, 409, 342, 1624, 961, 6054, 13747, 349, 1977, 496, 478, 13555, 448, 4035, 5660, 470, 289, 1033, 3946, 2523, 478, 13467, 861, 13630, 21755, 18042, 1867, 859, 320, 413, 2986, 289, 478, 29428, 272, 17, 26431, 9977, 470, 334, 24939, 9691, 395, 289, 8105, 1867, 3960, 13776, 778, 9518, 18, 6068, 17789, 282, 33215, 11202, 289, 26123, 1801, 1441, 895, 687, 478, 13467, 17, 42433, 350, 1919, 470, 651, 3216, 411, 46405, 12146, 282, 22979, 17, 21131, 687, 282, 970, 1750, 16, 827, 47528, 282, 22788, 3437, 21273, 16, 6895, 329, 18866, 1081, 475, 16171, 46788, 9827, 264, 289, 8026, 756, 2822, 1190, 1756, 282, 7285, 6589, 3303, 582, 14118, 18, 365, 16876, 8267, 7561, 1793, 23510, 2497, 27675, 1243, 291, 873, 1642, 16004, 428, 445, 281, 478, 20377, 748, 14770, 910, 1029, 764, 895, 322, 9555, 282, 22979, 17, 21131, 16, 827, 16, 282, 1423, 3678, 16, 11932, 305, 21446, 1421, 5790, 16, 6895, 289, 478, 13467, 272, 17, 42433, 350, 1919, 470, 281, 445, 5793, 1033, 1533, 12994, 18, 2949, 924, 16, 282, 1949, 22788, 38369, 1943, 11932, 319, 289, 478, 29428, 861, 2046, 282, 502, 16, 374, 478, 20377, 748, 399, 470, 1011, 2900, 36272, 26968, 847, 519, 3437, 18042, 1027, 9410, 16, 10056, 10428, 322, 19127, 18, 12660, 1011, 9764, 1195, 478, 13467, 304, 470, 33803, 1703, 322, 1109, 373, 16, 374, 282, 16702, 281, 478, 29428, 304, 910, 478, 11459, 313, 966, 11717, 304, 470, 289, 478, 13467, 304, 17, 42433, 350, 1919, 470, 322, 4040, 3515, 344, 1676, 12643, 1116, 5547, 13764, 4966, 16, 6895, 19874, 7120, 418, 324, 4468, 17098, 5044, 281, 457, 743, 4013, 547, 4048, 3874, 16, 367, 1038, 531, 10805, 13224, 332, 46046, 312, 18, 12280, 19486, 16, 374, 7736, 329, 859, 320, 11701, 289, 478, 1182, 10224, 6566, 470, 1764, 483, 276, 288, 401, 18, 478, 4348, 282, 378, 983, 1098, 6547, 939, 3084, 33140, 16, 17518, 282, 4698, 3303, 454, 289, 12509, 10487, 2900, 9917, 347, 428, 478, 13467, 861, 608, 478, 28345, 470, 685, 4722, 9700, 16, 289, 492, 9665, 282, 2220, 3418, 873, 33489, 18, 459, 417, 6317, 16, 374, 8404, 11860, 414, 2089, 43365, 18, 1345, 12503, 16, 374, 840, 14377, 549, 2117, 16, 3387, 6418, 16, 428, 42262, 8607, 24226, 289, 6352, 405, 11347, 281, 14118, 289, 35861, 294, 2856, 2384, 1616, 18, 640, 9764, 656, 3984, 6281, 16, 515, 349, 48411, 1954, 309, 1129, 651, 1003, 16, 651, 1109, 492, 28312, 478, 32485, 18, 8381, 861, 651, 824, 4317, 1879, 4244, 873, 289, 3888, 2393, 20113, 16355, 1262, 6281, 322, 1747, 651, 3984, 29828, 14393, 874, 870, 26070, 27218, 50166, 18, 3510, 282, 34034, 13189, 16287, 1965, 8182, 12525, 4392, 26995, 29653, 16, 2391, 3984, 7934, 1512, 46599, 861, 510, 20516, 4251, 16, 374, 6174, 14702, 25428, 282, 25307, 8445, 309, 8186, 3437, 9839, 14210, 6870, 35, 651, 996, 656, 541, 978, 697, 289, 24208, 18, 740, 827, 373, 329, 813, 322, 639, 8182, 5781, 12525, 16, 656 ]
[ 373, 294, 3303, 582, 289, 8690, 322, 7038, 18, 1345, 8105, 1166, 10133, 749, 5280, 1378, 4468, 17098, 5044, 289, 46046, 312, 281, 18952, 2535, 282, 5271, 16, 961, 7737, 387, 32259, 651, 749, 1129, 9764, 373, 1320, 322, 639, 18, 510, 11430, 840, 8010, 1188, 4249, 10916, 282, 22979, 17, 21131, 282, 21273, 2988, 281, 14118, 16, 2988, 281, 478, 1916, 406, 1082, 9519, 1012, 4404, 319, 4038, 16287, 282, 7756, 35, 651, 608, 813, 840, 8010, 13898, 7015, 1756, 18, 365, 3998, 8900, 1299, 14335, 2602, 1658, 17, 2479, 17, 263, 2223, 18, 2877, 656, 726, 282, 4056, 3303, 582, 289, 43959, 322, 35288, 18, 385, 9255, 5019, 977, 7648, 16530, 7760, 541, 1307, 28772, 478, 28345, 470, 25734, 33328, 7774, 274, 16, 8782, 25474, 1081, 282, 2220, 3418, 6870, 1421, 779, 18, 9873, 924, 16, 374, 505, 3655, 3216, 322, 4223, 282, 22979, 17, 21131, 16, 583, 4960, 4167, 5280, 286, 349, 2852, 27011, 40387, 18, 2949, 924, 16, 975, 3711, 36616, 2754, 392, 322, 8373, 432, 1280, 16, 25238, 6379, 975, 309, 2398, 567, 808, 7977, 360, 25467, 478, 20377, 748, 2503, 861, 478, 677, 2220, 3418, 873, 417, 9665, 281, 14158, 4195, 979, 16, 281, 23393, 16, 374, 840, 475, 1904, 16, 651, 4848, 492, 28312, 478, 32485, 18, 8381, 861, 651, 46991, 16, 374, 329, 703, 26381, 13561, 1133, 3361, 281, 14497, 17983, 16, 515, 475, 5121, 322, 453, 18, 385, 25783, 25390, 1323, 687, 24535, 16, 703, 15805, 414, 567, 475, 2095, 3992, 16, 381, 936, 1166, 18, 2681, 12319, 266, 1162, 19424, 324, 5352, 37341, 18, 1665, 428, 942, 453, 478, 960, 577, 3194, 910, 827, 282, 12462, 784, 14083, 16, 1030, 16, 2760, 41546, 4271, 510, 1397, 5780, 1337, 282, 43813, 582, 1011, 14248, 16, 2486, 4336, 857, 478, 13467, 470, 39440, 309, 43958, 282, 22979, 17, 21131, 35, 651, 15317, 414, 16, 15241, 16, 374, 40900, 651, 2158, 1696, 322, 834, 11668, 475, 18, 10399, 405, 785, 9095, 590, 7470, 874, 26070, 16, 289, 329, 813, 7006, 520, 374, 17, 299, 25190, 18, 510, 4406, 520, 329, 1304, 2141, 24704, 347, 309, 502, 16, 374, 22979, 17, 21131, 282, 803, 11258, 20975, 2733, 329, 1636, 6279, 35, 651, 19729, 16, 374, 282, 5344, 12013, 10711, 7193, 12715, 1223, 1281, 9806, 18, 2787, 912, 10711, 2117, 309, 2205, 13902, 16, 367, 329, 813, 282, 1175, 6597, 16, 428, 475, 4466, 12219, 18, 1178, 639, 373, 7431, 5259, 16287, 16, 502, 25800, 1333, 685, 373, 25194, 18, 439, 453, 334, 10384, 16287, 18, 1665, 16, 1642, 7499, 1048, 10384, 16287, 16, 367, 309, 36934, 827, 38359, 638, 2616, 17, 299, 655, 510, 3654, 478, 13467, 272, 470, 322, 3225, 28450, 9839, 14210, 933, 12525, 478, 20377, 748, 2503, 9519, 651, 832, 2060, 16, 4505, 3984, 3984, 5221, 5626, 16, 50027, 1177, 10133, 18, 3397, 575, 8329, 35841, 5556, 1011, 27056, 3666, 18, 1937, 417, 764, 11347, 282, 478, 20377, 748, 2800, 910, 475, 639, 334, 17, 15253, 18, 510, 4950, 520, 13880, 1177, 10133, 428, 19922, 1066, 1188, 478, 1182, 375, 5325, 6566, 470, 1764, 1020, 643, 343, 35, 651, 981, 1882, 10408, 1177, 10133, 18706, 1532, 18, 5005, 15955, 16, 827, 8602, 16, 349, 478, 20377, 748, 399, 910, 349, 43536, 13765, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 28915, 10358, 7561, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 35671, 44573, 877, 45955, 8014, 300, 2891, 14915, 12012, 349, 24375, 468, 4096, 2917, 1312, 1225, 17484, 8911, 519, 478, 1859, 2585, 12677, 470, 289, 17602, 29441, 3361, 281, 2985, 3317, 8911, 18, 4707, 8559, 400, 695, 4195, 1453, 34144, 11272, 16, 374, 15689, 2396, 341, 7955, 289, 47710, 847, 20767, 4892, 33185, 10460, 42142, 454, 18, 365, 9207, 6937, 2271, 4283, 16, 374, 4498, 3419, 1472, 290, 1033, 10400, 547, 41933, 281, 45159, 289, 46529, 349, 13409, 16, 4442, 5056, 309, 12806, 10996, 3687, 2000, 468, 18, 31224, 30, 677, 6730, 2917, 6997, 30877, 801, 1248, 1312, 1225, 15334, 3157, 27666, 4210, 44573, 877, 18, 1591, 12241, 3655, 15689, 41182, 7609, 24252, 282, 6937, 14915, 12012, 16, 988, 22111, 445, 2248, 22567, 25567, 349, 24375, 468, 4096, 519, 478, 1859, 2585, 12677, 861, 478, 16676, 322, 10258, 38272, 334, 2856, 11135, 16, 322, 664, 291, 6464, 887, 281, 28385, 27031, 16, 322, 20908, 27924, 28643, 6612, 542, 35, 7132, 2558, 538, 6730, 519, 2900, 16, 374, 3711, 18291, 7010, 6520, 35, 10039, 322, 11576, 16, 753, 11960, 4871, 749, 11758, 12677, 5433, 510, 15875, 44573, 877, 478, 15210, 861, 640, 413, 12452, 764, 282, 6104, 1045, 33185, 343, 1312, 1225, 17484, 8911, 541, 6997, 25201, 416, 5520, 360, 25522, 421, 17, 25, 478, 28516, 470, 294, 34092, 2818, 11364, 2829, 282, 2343, 3990, 18, 2112, 978, 7571, 448, 8044, 2001, 10258, 1293, 24268, 1798, 16, 367, 1038, 44967, 4989, 18382, 13333, 309, 653, 10862, 8911, 16, 1029, 11451, 27513, 2853, 45765, 19385, 7336, 289, 8811, 6233, 18, 34998, 17602, 12369, 16, 24706, 520, 11171, 26128, 952, 17745, 1051, 290, 970, 16, 374, 898, 28647, 33185, 2626, 816, 16, 27, 31429, 287, 8911, 16, 289, 15488, 34311, 45748, 18, 439, 1038, 25960, 1230, 9861, 2589, 553, 6125, 4153, 9270, 6457, 451, 2172, 281, 14120, 952, 8043, 32277, 16, 753, 1974, 18582, 6730, 281, 1312, 1225, 291, 1703, 29301, 18, 478, 41113, 343, 3419, 16, 3157, 33185, 637, 16, 14429, 7107, 8171, 18, 1178, 912, 10064, 27328, 20321, 13526, 290, 970, 16, 753, 1143, 537, 2236, 9530, 1336, 322, 36155, 16, 502, 417, 481, 16139, 16, 510, 2815, 44573, 877, 18, 510, 608, 813, 502, 1176, 3157, 16, 502, 2107, 16, 5352, 8105, 874, 481, 18, 16579, 281, 16841, 18002, 294, 22360, 861, 640, 8125, 16, 4725, 15689, 16, 3014, 20561, 4958, 4797, 10984, 290, 970, 16, 4080, 2175, 2125, 15961, 27924, 6612, 542, 478, 267, 9752, 1209, 9578, 8786, 861, 478, 8407, 349, 14176, 9697, 319, 309, 8329, 289, 518, 575, 1362, 1908, 15596, 910, 510, 2815, 44573, 877, 16, 5012, 6016, 6937, 2001, 6125, 1293, 7658, 22094, 1051, 541, 15986, 2150, 8911, 16, 753, 14565, 2888, 33185, 4490, 2923, 16, 367, 1038, 2923, 16, 12460, 2508, 360, 32320, 18, 1598, 6937, 15689, 10576, 282, 31797, 8667, 478, 2997, 272, 523, 1133, 5245, 910, 12727, 1754, 9600 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 373, 294, 3303, 582, 289, 8690, 322, 7038, 18, 1345, 8105, 1166, 10133, 749, 5280, 1378, 4468, 17098, 5044, 289, 46046, 312, 281, 18952, 2535, 282, 5271, 16, 961, 7737, 387, 32259, 651, 749, 1129, 9764, 373, 1320, 322, 639, 18, 510, 11430, 840, 8010, 1188, 4249, 10916, 282, 22979, 17, 21131, 282, 21273, 2988, 281, 14118, 16, 2988, 281, 478, 1916, 406, 1082, 9519, 1012, 4404, 319, 4038, 16287, 282, 7756, 35, 651, 608, 813, 840, 8010, 13898, 7015, 1756, 18, 365, 3998, 8900, 1299, 14335, 2602, 1658, 17, 2479, 17, 263, 2223, 18, 2877, 656, 726, 282, 4056, 3303, 582, 289, 43959, 322, 35288, 18, 385, 9255, 5019, 977, 7648, 16530, 7760, 541, 1307, 28772, 478, 28345, 470, 25734, 33328, 7774, 274, 16, 8782, 25474, 1081, 282, 2220, 3418, 6870, 1421, 779, 18, 9873, 924, 16, 374, 505, 3655, 3216, 322, 4223, 282, 22979, 17, 21131, 16, 583, 4960, 4167, 5280, 286, 349, 2852, 27011, 40387, 18, 2949, 924, 16, 975, 3711, 36616, 2754, 392, 322, 8373, 432, 1280, 16, 25238, 6379, 975, 309, 2398, 567, 808, 7977, 360, 25467, 478, 20377, 748, 2503, 861, 478, 677, 2220, 3418, 873, 417, 9665, 281, 14158, 4195, 979, 16, 281, 23393, 16, 374, 840, 475, 1904, 16, 651, 4848, 492, 28312, 478, 32485, 18, 8381, 861, 651, 46991, 16, 374, 329, 703, 26381, 13561, 1133, 3361, 281, 14497, 17983, 16, 515, 475, 5121, 322, 453, 18, 385, 25783, 25390, 1323, 687, 24535, 16, 703, 15805, 414, 567, 475, 2095, 3992, 16, 381, 936, 1166, 18, 2681, 12319, 266, 1162, 19424, 324, 5352, 37341, 18, 1665, 428, 942, 453, 478, 960, 577, 3194, 910, 827, 282, 12462, 784, 14083, 16, 1030, 16, 2760, 41546, 4271, 510, 1397, 5780, 1337, 282, 43813, 582, 1011, 14248, 16, 2486, 4336, 857, 478, 13467, 470, 39440, 309, 43958, 282, 22979, 17, 21131, 35, 651, 15317, 414, 16, 15241, 16, 374, 40900, 651, 2158, 1696, 322, 834, 11668, 475, 18, 10399, 405, 785, 9095, 590, 7470, 874, 26070, 16, 289, 329, 813, 7006, 520, 374, 17, 299, 25190, 18, 510, 4406, 520, 329, 1304, 2141, 24704, 347, 309, 502, 16, 374, 22979, 17, 21131, 282, 803, 11258, 20975, 2733, 329, 1636, 6279, 35, 651, 19729, 16, 374, 282, 5344, 12013, 10711, 7193, 12715, 1223, 1281, 9806, 18, 2787, 912, 10711, 2117, 309, 2205, 13902, 16, 367, 329, 813, 282, 1175, 6597, 16, 428, 475, 4466, 12219, 18, 1178, 639, 373, 7431, 5259, 16287, 16, 502, 25800, 1333, 685, 373, 25194, 18, 439, 453, 334, 10384, 16287, 18, 1665, 16, 1642, 7499, 1048, 10384, 16287, 16, 367, 309, 36934, 827, 38359, 638, 2616, 17, 299, 655, 510, 3654, 478, 13467, 272, 470, 322, 3225, 28450, 9839, 14210, 933, 12525, 478, 20377, 748, 2503, 9519, 651, 832, 2060, 16, 4505, 3984, 3984, 5221, 5626, 16, 50027, 1177, 10133, 18, 3397, 575, 8329, 35841, 5556, 1011, 27056, 3666, 18, 1937, 417, 764, 11347, 282, 478, 20377, 748, 2800, 910, 475, 639, 334, 17, 15253, 18, 510, 4950, 520, 13880, 1177, 10133, 428, 19922, 1066, 1188, 478, 1182, 375, 5325, 6566, 470, 1764, 1020, 643, 343, 35, 651, 981, 1882, 10408, 1177, 10133, 18706, 1532, 18, 5005, 15955, 16, 827, 8602, 16, 349, 478, 20377, 748, 399, 910, 349, 43536, 13765, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 28915, 10358, 7561, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 35671, 44573, 877, 45955, 8014, 300, 2891, 14915, 12012, 349, 24375, 468, 4096, 2917, 1312, 1225, 17484, 8911, 519, 478, 1859, 2585, 12677, 470, 289, 17602, 29441, 3361, 281, 2985, 3317, 8911, 18, 4707, 8559, 400, 695, 4195, 1453, 34144, 11272, 16, 374, 15689, 2396, 341, 7955, 289, 47710, 847, 20767, 4892, 33185, 10460, 42142, 454, 18, 365, 9207, 6937, 2271, 4283, 16, 374, 4498, 3419, 1472, 290, 1033, 10400, 547, 41933, 281, 45159, 289, 46529, 349, 13409, 16, 4442, 5056, 309, 12806, 10996, 3687, 2000, 468, 18, 31224, 30, 677, 6730, 2917, 6997, 30877, 801, 1248, 1312, 1225, 15334, 3157, 27666, 4210, 44573, 877, 18, 1591, 12241, 3655, 15689, 41182, 7609, 24252, 282, 6937, 14915, 12012, 16, 988, 22111, 445, 2248, 22567, 25567, 349, 24375, 468, 4096, 519, 478, 1859, 2585, 12677, 861, 478, 16676, 322, 10258, 38272, 334, 2856, 11135, 16, 322, 664, 291, 6464, 887, 281, 28385, 27031, 16, 322, 20908, 27924, 28643, 6612, 542, 35, 7132, 2558, 538, 6730, 519, 2900, 16, 374, 3711, 18291, 7010, 6520, 35, 10039, 322, 11576, 16, 753, 11960, 4871, 749, 11758, 12677, 5433, 510, 15875, 44573, 877, 478, 15210, 861, 640, 413, 12452, 764, 282, 6104, 1045, 33185, 343, 1312, 1225, 17484, 8911, 541, 6997, 25201, 416, 5520, 360, 25522, 421, 17, 25, 478, 28516, 470, 294, 34092, 2818, 11364, 2829, 282, 2343, 3990, 18, 2112, 978, 7571, 448, 8044, 2001, 10258, 1293, 24268, 1798, 16, 367, 1038, 44967, 4989, 18382, 13333, 309, 653, 10862, 8911, 16, 1029, 11451, 27513, 2853, 45765, 19385, 7336, 289, 8811, 6233, 18, 34998, 17602, 12369, 16, 24706, 520, 11171, 26128, 952, 17745, 1051, 290, 970, 16, 374, 898, 28647, 33185, 2626, 816, 16, 27, 31429, 287, 8911, 16, 289, 15488, 34311, 45748, 18, 439, 1038, 25960, 1230, 9861, 2589, 553, 6125, 4153, 9270, 6457, 451, 2172, 281, 14120, 952, 8043, 32277, 16, 753, 1974, 18582, 6730, 281, 1312, 1225, 291, 1703, 29301, 18, 478, 41113, 343, 3419, 16, 3157, 33185, 637, 16, 14429, 7107, 8171, 18, 1178, 912, 10064, 27328, 20321, 13526, 290, 970, 16, 753, 1143, 537, 2236, 9530, 1336, 322, 36155, 16, 502, 417, 481, 16139, 16, 510, 2815, 44573, 877, 18, 510, 608, 813, 502, 1176, 3157, 16, 502, 2107, 16, 5352, 8105, 874, 481, 18, 16579, 281, 16841, 18002, 294, 22360, 861, 640, 8125, 16, 4725, 15689, 16, 3014, 20561, 4958, 4797, 10984, 290, 970, 16, 4080, 2175, 2125, 15961, 27924, 6612, 542, 478, 267, 9752, 1209, 9578, 8786, 861, 478, 8407, 349, 14176, 9697, 319, 309, 8329, 289, 518, 575, 1362, 1908, 15596, 910, 510, 2815, 44573, 877, 16, 5012, 6016, 6937, 2001, 6125, 1293, 7658, 22094, 1051, 541, 15986, 2150, 8911, 16, 753, 14565, 2888, 33185, 4490, 2923, 16, 367, 1038, 2923, 16, 12460, 2508, 360, 32320, 18, 1598, 6937, 15689, 10576, 282, 31797, 8667, 478, 2997, 272, 523, 1133, 5245, 910, 12727, 1754, 9600 ]
[ 21253, 5922, 282, 10720, 1312, 1225, 17484, 8911, 18, 824, 3163, 8300, 31063, 10195, 43417, 3261, 503, 680, 16, 282, 12380, 44573, 877, 41657, 15045, 8997, 2198, 309, 2764, 32277, 4497, 314, 501, 11805, 5981, 16, 14790, 4587, 5809, 6245, 1443, 309, 816, 16, 27, 2355, 6394, 22342, 4068, 33185, 382, 18, 478, 1009, 643, 21157, 11661, 1299, 2159, 3003, 290, 14441, 5395, 46223, 10651, 4841, 370, 23169, 282, 25998, 10717, 16, 510, 10703, 3261, 503, 1162, 478, 46088, 18, 8381, 861, 510, 439, 1833, 1011, 505, 14631, 294, 1299, 5053, 4770, 22212, 5500, 5447, 36719, 40232, 616, 1761, 363, 1231, 1624, 5143, 1779, 16, 374, 3730, 756, 7894, 282, 8995, 6997, 4446, 28590, 10139, 541, 5500, 322, 840, 861, 824, 3163, 3261, 503, 680, 16, 567, 12241, 685, 19348, 3084, 3321, 4024, 289, 6605, 14321, 16, 374, 478, 40659, 5526, 282, 4599, 22674, 32277, 282, 34092, 1212, 840, 2010, 2365, 861, 2046, 16, 6548, 1247, 510, 381, 37003, 360, 6997, 1248, 3157, 289, 15645, 11811, 6876, 30007, 510, 6088, 16980, 18, 478, 780, 3488, 406, 3813, 16, 753, 1800, 15689, 17559, 25388, 5115, 16, 515, 978, 322, 4243, 16, 510, 10703, 3261, 503, 1162, 18, 510, 34998, 17602, 14202, 11299, 11758, 8390, 282, 8995, 16, 32558, 28792, 29264, 281, 12070, 2954, 541, 17407, 1791, 8911, 16, 367, 1038, 25960, 15324, 44319, 10547, 21790, 4871, 289, 17705, 505, 281, 12875, 483, 17983, 289, 1718, 5326, 861, 967, 803, 16, 827, 2826, 840, 24632, 30945, 449, 4248, 746, 5115, 16, 5273, 3261, 503, 1162, 16, 44380, 8911, 8003, 802, 13076, 16, 374, 11811, 6676, 38722, 912, 289, 281, 2872, 1381, 3624, 18, 4530, 867, 16, 3387, 3504, 9364, 6997, 5520, 282, 34092, 1212, 1623, 20664, 10143, 1767, 1624, 367, 322, 10337, 539, 28402, 16, 9457, 1312, 1225, 17484, 8911, 282, 6588, 360, 37879, 2931, 718, 895, 953, 46493, 309, 5066, 16201, 12457, 18, 967, 803, 4959, 2854, 1943, 1852, 10579, 8911, 18, 640, 970, 575, 25804, 282, 9207, 6937, 44573, 877, 11894, 16, 1085, 1717, 4609, 937, 4349, 8911, 289, 478, 347, 937, 15045, 16, 374, 1177, 3157, 322, 1623, 29301, 16, 367, 1623, 16, 3057, 16, 17312, 2409, 861, 1937, 575, 975, 282, 1078, 12362, 15045, 8308, 11425, 23133, 290, 970, 16, 374, 309, 2923, 14915, 12012, 38776, 11131, 1003, 16, 15689, 29309, 30, 478, 618, 481, 374, 16, 322, 3157, 35, 1178, 1337, 26270, 16, 374, 329, 1304, 322, 6304, 16, 367, 5104, 16, 387, 722, 6991, 43046, 428, 5794, 5433, 450, 1214, 2459, 16, 374, 37885, 282, 22621, 2001, 3157, 510, 481, 2826, 3157, 16, 367, 322, 22927, 1499, 17, 454, 9412, 742, 2232, 2914, 7142, 16, 282, 12564, 14106, 808, 9414, 16477, 10162, 7067, 11630, 334, 10268, 7117, 22306, 4486, 20553, 17070, 18, 7743, 282, 970, 16, 374, 764, 282, 16408, 1045, 1312, 1225, 15334, 3157, 685, 14449, 28385, 4407, 2389, 7117, 22306, 6036, 46441, 35463, 510, 26502, 5943, 2409, 8577, 10162, 7713, 18, 2046, 16, 785, 6181, 4871, 6997, 5520, 16, 3157, 9724, 1177, 10579, 334, 33158, 24979, 2001, 18, 2326, 21186, 4588, 672, 789, 685, 14449, 45815, 309, 970, 9185, 16, 374, 282, 16408, 1045, 290, 1435, 496, 32571, 16992, 322, 639, 13453, 282, 8243, 5792, 18, 478, 3743, 14915, 11812, 1655, 685, 2513, 4269, 14762, 16, 1634, 12502, 670, 26643, 329, 813, 1655, 322, 639, 18, 981, 289, 428, 2141, 942, 3111, 290, 970, 16, 374, 282, 16408, 1045, 322, 639, 10897, 1569, 21600, 12670, 16, 1435, 3134, 687, 282, 11525, 17, 277, 5, 510, 2815, 478, 46088, 18, 8381, 470, 2390, 1815, 1743, 282, 12564, 11309, 760, 15748, 4944, 4845, 18, 510, 6023, 322, 3225, 15408, 282, 37163, 617, 11666, 289, 4075, 381, 505, 7052, 763, 17122, 1551, 16, 515, 31867, 16, 374, 282, 7400, 547, 12564, 25851, 2879, 7398, 452, 3194, 861, 5043, 16, 13523, 12213, 6152, 12068, 8911, 289, 5115, 5520, 1003, 289, 329, 11630, 18, 824, 3163, 29478, 16, 475, 12522, 282, 32021, 290, 23629, 13770, 30007, 5520, 8272, 360, 3946, 322, 1223, 7067, 16, 367, 2059, 8424, 334, 10268, 4588, 672, 789, 18, 478, 4348, 25684, 16, 374, 2003, 2897, 4892, 4588, 672, 789, 282, 28549, 30517, 1312, 1225, 17484, 8911, 16, 510, 2548, 4845, 18, 510, 9639, 575, 4947, 4611, 11531, 3236, 289, 282, 3569, 960, 23029, 2407, 16, 764, 282, 4479, 1045, 5143, 11290, 290, 8597, 617, 17703, 8911, 20458, 4588, 672, 789, 18, 459, 656, 939, 31867, 16, 374, 9770, 1767, 10859, 16896, 309, 502, 16, 753, 33185, 8518, 42142, 343, 906, 3424, 20767, 19513, 289, 1379, 24039, 3157, 685, 3118, 7180, 286, 861, 365, 3453, 6937, 14915, 12012, 16, 3730, 22366, 7794, 4588, 672, 789, 309, 1949, 22786, 5856, 24258, 8911, 16, 961, 21704, 1011, 924, 16, 428, 505, 445, 32116, 7763, 16, 7005, 5790, 281, 39493, 7502, 49919, 4345, 18, 478, 1009, 643, 21157, 25960, 13848, 1033, 10400, 539, 24363, 281, 45159, 18, 5890, 4505, 9934, 14668, 15289, 8424, 16, 282, 2588, 4292, 10197, 289, 44380, 8911, 16, 510, 4848, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 6937, 10618, 385, 1905, 925, 268, 18, 510, 640, 20957, 582, 2299, 17510, 453, 30515, 5174, 30539, 2682, 541, 8390, 349, 8597, 416, 33185, 761, 473, 1243, 428, 42142, 343, 541, 5520, 726, 9013, 16, 4302, 1671, 368, 1143, 953, 322, 2993, 814, 2949, 924, 16, 22360, 840, 16292, 11205, 6937, 290, 970, 16, 374, 726, 11742, 334, 15248, 4588, 672, 789, 16, 289, 840, 9467, 8087, 16477, 334, 32381, 349, 2123, 21, 3763, 2791, 16, 20474, 282, 3106, 38016, 23371, 289, 21219, 4486, 309, 6584, 3687, 2000, 468, 861, 2263, 4871, 6997, 3164, 1844, 37161, 15040, 11944, 16, 4725, 385, 1905, 925, 268, 18, 967, 803, 16, 334, 505, 3163, 16, 4419, 726, 1650, 2919, 8424, 334, 16685, 344, 5115, 16, 2686, 4302, 21539, 17929, 387, 3290, 315, 322, 639, 30, 475, 19435, 11811, 6676, 38722, 46466, 44218, 758, 18, 478, 3743, 1800, 1177, 1247, 322, 2353, 16, 42449, 7794, 4588, 672, 789, 289, 6457, 349, 4735, 4838, 4076, 281, 6244, 6726, 22300, 910, 510, 4725, 5854, 6937, 18, 49047, 14965, 381, 4588, 672, 789, 309, 2923, 1312, 1225, 17484, 8911, 1011, 924, 16, 428, 505, 9492, 9229, 5127, 19168, 44040, 16, 322, 1033, 828, 34837, 24251, 16, 5273, 9216, 14630, 10539, 5054, 6198, 8577, 26227, 15644, 401, 18, 32135, 939, 2156, 17650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21253, 5922, 282, 10720, 1312, 1225, 17484, 8911, 18, 824, 3163, 8300, 31063, 10195, 43417, 3261, 503, 680, 16, 282, 12380, 44573, 877, 41657, 15045, 8997, 2198, 309, 2764, 32277, 4497, 314, 501, 11805, 5981, 16, 14790, 4587, 5809, 6245, 1443, 309, 816, 16, 27, 2355, 6394, 22342, 4068, 33185, 382, 18, 478, 1009, 643, 21157, 11661, 1299, 2159, 3003, 290, 14441, 5395, 46223, 10651, 4841, 370, 23169, 282, 25998, 10717, 16, 510, 10703, 3261, 503, 1162, 478, 46088, 18, 8381, 861, 510, 439, 1833, 1011, 505, 14631, 294, 1299, 5053, 4770, 22212, 5500, 5447, 36719, 40232, 616, 1761, 363, 1231, 1624, 5143, 1779, 16, 374, 3730, 756, 7894, 282, 8995, 6997, 4446, 28590, 10139, 541, 5500, 322, 840, 861, 824, 3163, 3261, 503, 680, 16, 567, 12241, 685, 19348, 3084, 3321, 4024, 289, 6605, 14321, 16, 374, 478, 40659, 5526, 282, 4599, 22674, 32277, 282, 34092, 1212, 840, 2010, 2365, 861, 2046, 16, 6548, 1247, 510, 381, 37003, 360, 6997, 1248, 3157, 289, 15645, 11811, 6876, 30007, 510, 6088, 16980, 18, 478, 780, 3488, 406, 3813, 16, 753, 1800, 15689, 17559, 25388, 5115, 16, 515, 978, 322, 4243, 16, 510, 10703, 3261, 503, 1162, 18, 510, 34998, 17602, 14202, 11299, 11758, 8390, 282, 8995, 16, 32558, 28792, 29264, 281, 12070, 2954, 541, 17407, 1791, 8911, 16, 367, 1038, 25960, 15324, 44319, 10547, 21790, 4871, 289, 17705, 505, 281, 12875, 483, 17983, 289, 1718, 5326, 861, 967, 803, 16, 827, 2826, 840, 24632, 30945, 449, 4248, 746, 5115, 16, 5273, 3261, 503, 1162, 16, 44380, 8911, 8003, 802, 13076, 16, 374, 11811, 6676, 38722, 912, 289, 281, 2872, 1381, 3624, 18, 4530, 867, 16, 3387, 3504, 9364, 6997, 5520, 282, 34092, 1212, 1623, 20664, 10143, 1767, 1624, 367, 322, 10337, 539, 28402, 16, 9457, 1312, 1225, 17484, 8911, 282, 6588, 360, 37879, 2931, 718, 895, 953, 46493, 309, 5066, 16201, 12457, 18, 967, 803, 4959, 2854, 1943, 1852, 10579, 8911, 18, 640, 970, 575, 25804, 282, 9207, 6937, 44573, 877, 11894, 16, 1085, 1717, 4609, 937, 4349, 8911, 289, 478, 347, 937, 15045, 16, 374, 1177, 3157, 322, 1623, 29301, 16, 367, 1623, 16, 3057, 16, 17312, 2409, 861, 1937, 575, 975, 282, 1078, 12362, 15045, 8308, 11425, 23133, 290, 970, 16, 374, 309, 2923, 14915, 12012, 38776, 11131, 1003, 16, 15689, 29309, 30, 478, 618, 481, 374, 16, 322, 3157, 35, 1178, 1337, 26270, 16, 374, 329, 1304, 322, 6304, 16, 367, 5104, 16, 387, 722, 6991, 43046, 428, 5794, 5433, 450, 1214, 2459, 16, 374, 37885, 282, 22621, 2001, 3157, 510, 481, 2826, 3157, 16, 367, 322, 22927, 1499, 17, 454, 9412, 742, 2232, 2914, 7142, 16, 282, 12564, 14106, 808, 9414, 16477, 10162, 7067, 11630, 334, 10268, 7117, 22306, 4486, 20553, 17070, 18, 7743, 282, 970, 16, 374, 764, 282, 16408, 1045, 1312, 1225, 15334, 3157, 685, 14449, 28385, 4407, 2389, 7117, 22306, 6036, 46441, 35463, 510, 26502, 5943, 2409, 8577, 10162, 7713, 18, 2046, 16, 785, 6181, 4871, 6997, 5520, 16, 3157, 9724, 1177, 10579, 334, 33158, 24979, 2001, 18, 2326, 21186, 4588, 672, 789, 685, 14449, 45815, 309, 970, 9185, 16, 374, 282, 16408, 1045, 290, 1435, 496, 32571, 16992, 322, 639, 13453, 282, 8243, 5792, 18, 478, 3743, 14915, 11812, 1655, 685, 2513, 4269, 14762, 16, 1634, 12502, 670, 26643, 329, 813, 1655, 322, 639, 18, 981, 289, 428, 2141, 942, 3111, 290, 970, 16, 374, 282, 16408, 1045, 322, 639, 10897, 1569, 21600, 12670, 16, 1435, 3134, 687, 282, 11525, 17, 277, 5, 510, 2815, 478, 46088, 18, 8381, 470, 2390, 1815, 1743, 282, 12564, 11309, 760, 15748, 4944, 4845, 18, 510, 6023, 322, 3225, 15408, 282, 37163, 617, 11666, 289, 4075, 381, 505, 7052, 763, 17122, 1551, 16, 515, 31867, 16, 374, 282, 7400, 547, 12564, 25851, 2879, 7398, 452, 3194, 861, 5043, 16, 13523, 12213, 6152, 12068, 8911, 289, 5115, 5520, 1003, 289, 329, 11630, 18, 824, 3163, 29478, 16, 475, 12522, 282, 32021, 290, 23629, 13770, 30007, 5520, 8272, 360, 3946, 322, 1223, 7067, 16, 367, 2059, 8424, 334, 10268, 4588, 672, 789, 18, 478, 4348, 25684, 16, 374, 2003, 2897, 4892, 4588, 672, 789, 282, 28549, 30517, 1312, 1225, 17484, 8911, 16, 510, 2548, 4845, 18, 510, 9639, 575, 4947, 4611, 11531, 3236, 289, 282, 3569, 960, 23029, 2407, 16, 764, 282, 4479, 1045, 5143, 11290, 290, 8597, 617, 17703, 8911, 20458, 4588, 672, 789, 18, 459, 656, 939, 31867, 16, 374, 9770, 1767, 10859, 16896, 309, 502, 16, 753, 33185, 8518, 42142, 343, 906, 3424, 20767, 19513, 289, 1379, 24039, 3157, 685, 3118, 7180, 286, 861, 365, 3453, 6937, 14915, 12012, 16, 3730, 22366, 7794, 4588, 672, 789, 309, 1949, 22786, 5856, 24258, 8911, 16, 961, 21704, 1011, 924, 16, 428, 505, 445, 32116, 7763, 16, 7005, 5790, 281, 39493, 7502, 49919, 4345, 18, 478, 1009, 643, 21157, 25960, 13848, 1033, 10400, 539, 24363, 281, 45159, 18, 5890, 4505, 9934, 14668, 15289, 8424, 16, 282, 2588, 4292, 10197, 289, 44380, 8911, 16, 510, 4848, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 6937, 10618, 385, 1905, 925, 268, 18, 510, 640, 20957, 582, 2299, 17510, 453, 30515, 5174, 30539, 2682, 541, 8390, 349, 8597, 416, 33185, 761, 473, 1243, 428, 42142, 343, 541, 5520, 726, 9013, 16, 4302, 1671, 368, 1143, 953, 322, 2993, 814, 2949, 924, 16, 22360, 840, 16292, 11205, 6937, 290, 970, 16, 374, 726, 11742, 334, 15248, 4588, 672, 789, 16, 289, 840, 9467, 8087, 16477, 334, 32381, 349, 2123, 21, 3763, 2791, 16, 20474, 282, 3106, 38016, 23371, 289, 21219, 4486, 309, 6584, 3687, 2000, 468, 861, 2263, 4871, 6997, 3164, 1844, 37161, 15040, 11944, 16, 4725, 385, 1905, 925, 268, 18, 967, 803, 16, 334, 505, 3163, 16, 4419, 726, 1650, 2919, 8424, 334, 16685, 344, 5115, 16, 2686, 4302, 21539, 17929, 387, 3290, 315, 322, 639, 30, 475, 19435, 11811, 6676, 38722, 46466, 44218, 758, 18, 478, 3743, 1800, 1177, 1247, 322, 2353, 16, 42449, 7794, 4588, 672, 789, 289, 6457, 349, 4735, 4838, 4076, 281, 6244, 6726, 22300, 910, 510, 4725, 5854, 6937, 18, 49047, 14965, 381, 4588, 672, 789, 309, 2923, 1312, 1225, 17484, 8911, 1011, 924, 16, 428, 505, 9492, 9229, 5127, 19168, 44040, 16, 322, 1033, 828, 34837, 24251, 16, 5273, 9216, 14630, 10539, 5054, 6198, 8577, 26227, 15644, 401, 18, 32135, 939, 2156, 17650 ]
[ 294, 6409, 46439, 8570, 22788, 14498, 7245, 8911, 18, 2949, 924, 16, 34361, 40732, 3253, 47374, 6356, 39493, 1767, 18, 824, 4734, 15644, 1161, 16, 4498, 2879, 906, 4619, 322, 4443, 290, 41933, 281, 45159, 16, 3176, 290, 47068, 30490, 12670, 18, 985, 27250, 12189, 16, 1312, 1225, 15334, 3157, 3118, 12578, 282, 11683, 9207, 13396, 16, 1623, 42820, 29301, 289, 505, 33185, 343, 2654, 29657, 17546, 1147, 11681, 1508, 16, 282, 5118, 281, 3279, 14909, 14510, 3157, 16691, 7492, 12417, 16, 28889, 12417, 289, 15040, 25218, 16, 2486, 895, 7869, 294, 5914, 8608, 697, 6394, 16, 322, 24755, 18, 478, 780, 3162, 2954, 19516, 15434, 20831, 16, 827, 6342, 11411, 39081, 7124, 5998, 11450, 13979, 5738, 16, 367, 11453, 29977, 2985, 451, 3157, 2955, 1844, 6099, 360, 924, 16, 22806, 281, 2184, 40916, 670, 1003, 16, 510, 27250, 15644, 401, 478, 46088, 18, 8381, 861, 510, 985, 417, 3889, 332, 282, 34546, 16, 5037, 14915, 12012, 3720, 33773, 1051, 2815, 44573, 877, 16, 374, 5906, 5303, 13309, 349, 7955, 5520, 1248, 3157, 16, 367, 4586, 1100, 467, 518, 16, 2616, 322, 7737, 282, 803, 15408, 18, 740, 1696, 1904, 3665, 16, 428, 478, 27256, 10033, 11593, 942, 26328, 309, 6612, 542, 322, 5303, 2001, 16, 367, 1110, 16, 1085, 282, 1169, 4452, 16, 942, 16, 428, 481, 639, 282, 29970, 1275, 1212, 8995, 16, 6622, 16520, 27212, 289, 6348, 697, 428, 7005, 6612, 883, 16, 1139, 4037, 433, 440, 30375, 18, 459, 16, 827, 2891, 1747, 10959, 2388, 478, 293, 362, 555, 542, 910, 656, 25550, 282, 10608, 17, 295, 1205, 861, 2, 1, 87, 1456, 81, 2448, 30, 4408, 8903, 12009, 510, 38055, 16830, 3338, 23603, 18, 4635, 481, 8762, 3589, 4511, 3162, 7080, 289, 5295, 468, 17099, 25736, 15056, 7583, 12384, 1852, 11963, 29054, 18, 31224, 30, 1605, 2840, 13557, 4431, 45138, 703, 16, 7975, 281, 5430, 519, 2845, 16, 349, 1332, 309, 8944, 2127, 9223, 668, 6747, 1066, 424, 7848, 478, 1098, 406, 446, 861, 7075, 2299, 9410, 11775, 16, 22062, 16, 11732, 22457, 5230, 28738, 1354, 14263, 289, 322, 687, 697, 18, 6373, 411, 6575, 1810, 510, 453, 22168, 308, 578, 3264, 18, 889, 785, 11009, 18428, 3236, 309, 3463, 289, 3960, 1129, 38435, 2921, 4651, 37519, 1247, 16, 753, 971, 2552, 411, 5920, 1378, 2733, 2175, 23552, 17705, 726, 1514, 12727, 304, 18, 421, 22705, 1161, 19957, 16, 334, 17, 324, 3326, 4538, 18, 25971, 632, 9052, 320, 16, 26306, 755, 289, 334, 4153, 28057, 1016, 10193, 11123, 4415, 289, 37762, 478, 404, 4171, 2009, 4626, 910, 6455, 541, 11330, 3872, 8252, 4314, 541, 34962, 6266, 30, 428, 8969, 8944, 2127, 11428, 5090, 282, 45648, 703, 32939, 2968, 35, 985, 3665, 16, 3176, 14263, 510, 4443, 289, 42681, 18, 3492, 17, 299, 2271, 1738, 16, 374, 15998, 14321, 510, 48410, 12058, 18, 3492, 17, 299, 510, 374, 8162, 289, 29246, 9671, 276, 16, 515, 281, 32983, 42851, 35175, 5307, 18, 3492, 17, 299, 23870, 1514, 16465, 5067, 360, 1878, 649, 282, 14647, 680, 4257, 18, 3492, 17, 299, 941, 1042, 315, 15097, 1279, 7545, 3314, 49094, 18, 12824, 5823, 2805, 5520, 8944, 1133, 18587, 16, 4310, 510, 1307, 301, 15526, 16, 24721, 510, 33312, 18, 385, 1369, 7282, 45648, 16, 9605, 16, 30267, 18, 632, 9052, 320, 14843, 475, 481, 6494, 16, 17296, 18912, 2195, 16, 374, 17, 299, 5542, 4165, 16, 988, 17, 299, 26375, 3064, 18, 439, 971, 23081, 6905, 834, 14325, 18, 14527, 26572, 27204, 4699, 334, 2638, 2843, 16, 20224, 289, 14128, 18, 817, 1109, 4652, 453, 30, 8404, 16, 36174, 374, 5387, 510, 26252, 2787, 344, 670, 1034, 10667, 17, 618, 1476, 292, 2749, 16, 3744, 263, 35175, 2640, 670, 4505, 575, 6600, 11044, 309, 336, 12536, 10992, 8944, 582, 16, 515, 36174, 481, 16, 1494, 12113, 282, 4822, 3441, 5023, 290, 970, 16, 374, 481, 475, 322, 1139, 453, 16, 367, 567, 3499, 3217, 3453, 11428, 4260, 18, 3863, 6478, 3126, 2172, 1381, 6938, 14617, 22160, 1519, 309, 33788, 24923, 1805, 18, 15517, 16, 8018, 275, 22845, 5331, 18, 37251, 8560, 2158, 21106, 967, 6788, 375, 10824, 37712, 4772, 272, 16, 2006, 492, 322, 11417, 5342, 18, 365, 812, 43748, 30, 1548, 374, 7748, 2485, 382, 745, 360, 5478, 16, 367, 33835, 309, 2456, 2463, 294, 2891, 289, 4247, 371, 803, 23266, 425, 2152, 334, 26048, 18, 2151, 23331, 1018, 6938, 32039, 16, 1085, 282, 4884, 1750, 492, 583, 18, 459, 8093, 7695, 11155, 542, 510, 44302, 3655, 11161, 368, 741, 2514, 27567, 18, 24397, 5064, 21422, 3872, 48844, 30, 745, 30244, 309, 1279, 17730, 2431, 19068, 289, 27619, 7069, 478, 22420, 470, 41041, 44206, 289, 2522, 25058, 478, 406, 910, 30465, 371, 803, 3714, 290, 3714, 18, 889, 935, 322, 6529, 282, 41966, 6003, 16, 481, 15696, 7940, 19738, 16, 46885, 25568, 27812, 18, 365, 3177, 529, 944, 678, 24810, 309, 3885, 763, 2553, 18, 8859, 14428, 722, 3257, 289, 309, 2107, 5939, 18, 2681, 1122, 4226, 371, 6788, 34131, 478, 404, 3744, 263, 813, 3660, 16, 1882, 45974, 36935, 470, 510, 11857, 322, 918, 3407, 3771, 16, 34581, 394, 30274, 16, 12817, 451, 2152, 289, 16, 2091, 16, 478, 918, 470, 510, 475, 282, 19535, 18, 17271, 4465, 35974, 7583, 12384, 1852, 11963, 29054, 18, 1606, 28433, 334, 45426, 1715, 8095, 758, 16, 1830, 309, 2456, 2463, 16258, 11864, 18, 11339, 1223, 282, 1420, 17415, 12034, 2837, 36892, 334, 27952, 16, 942, 2023, 16, 20426, 8966, 1880, 510, 309, 35850, 289, 17757, 3463, 18, 365, 6031, 11268, 21067, 282, 21394, 10090, 13166, 469, 17733, 291, 4528, 478, 1259, 346, 3427, 910, 478, 377, 4207, 431, 5355, 19, 1024, 45737, 10204, 470, 670, 478, 1554, 412, 362, 766, 617, 19, 1458, 1285, 412, 362, 766, 617, 910, 2917, 1639, 289, 4557, 8394, 32202, 848, 31541, 18, 2387, 1033, 14254, 416, 24489, 541, 2443, 24620, 30265, 1437, 18, 365, 502, 575, 808, 1003, 282, 12384, 289, 7203, 2672, 2936, 346, 28630, 39251, 16, 3556, 4946, 16, 29207, 40876, 416, 14399, 16, 502, 912, 8647, 722, 11407, 18, 985, 6441, 16, 32845, 12373, 2750, 510, 481, 6190, 14776, 293, 4139, 4511, 3162, 7080, 16, 5295, 468, 25736, 16, 8762, 3589, 22275, 564, 33372, 2917, 21840, 17925, 18, 5091, 1078, 309, 1247, 478, 2824, 2240, 5433, 2654, 3014, 411, 924, 16, 478, 15890, 14658, 861, 49370, 2459, 478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 6409, 46439, 8570, 22788, 14498, 7245, 8911, 18, 2949, 924, 16, 34361, 40732, 3253, 47374, 6356, 39493, 1767, 18, 824, 4734, 15644, 1161, 16, 4498, 2879, 906, 4619, 322, 4443, 290, 41933, 281, 45159, 16, 3176, 290, 47068, 30490, 12670, 18, 985, 27250, 12189, 16, 1312, 1225, 15334, 3157, 3118, 12578, 282, 11683, 9207, 13396, 16, 1623, 42820, 29301, 289, 505, 33185, 343, 2654, 29657, 17546, 1147, 11681, 1508, 16, 282, 5118, 281, 3279, 14909, 14510, 3157, 16691, 7492, 12417, 16, 28889, 12417, 289, 15040, 25218, 16, 2486, 895, 7869, 294, 5914, 8608, 697, 6394, 16, 322, 24755, 18, 478, 780, 3162, 2954, 19516, 15434, 20831, 16, 827, 6342, 11411, 39081, 7124, 5998, 11450, 13979, 5738, 16, 367, 11453, 29977, 2985, 451, 3157, 2955, 1844, 6099, 360, 924, 16, 22806, 281, 2184, 40916, 670, 1003, 16, 510, 27250, 15644, 401, 478, 46088, 18, 8381, 861, 510, 985, 417, 3889, 332, 282, 34546, 16, 5037, 14915, 12012, 3720, 33773, 1051, 2815, 44573, 877, 16, 374, 5906, 5303, 13309, 349, 7955, 5520, 1248, 3157, 16, 367, 4586, 1100, 467, 518, 16, 2616, 322, 7737, 282, 803, 15408, 18, 740, 1696, 1904, 3665, 16, 428, 478, 27256, 10033, 11593, 942, 26328, 309, 6612, 542, 322, 5303, 2001, 16, 367, 1110, 16, 1085, 282, 1169, 4452, 16, 942, 16, 428, 481, 639, 282, 29970, 1275, 1212, 8995, 16, 6622, 16520, 27212, 289, 6348, 697, 428, 7005, 6612, 883, 16, 1139, 4037, 433, 440, 30375, 18, 459, 16, 827, 2891, 1747, 10959, 2388, 478, 293, 362, 555, 542, 910, 656, 25550, 282, 10608, 17, 295, 1205, 861, 2, 1, 87, 1456, 81, 2448, 30, 4408, 8903, 12009, 510, 38055, 16830, 3338, 23603, 18, 4635, 481, 8762, 3589, 4511, 3162, 7080, 289, 5295, 468, 17099, 25736, 15056, 7583, 12384, 1852, 11963, 29054, 18, 31224, 30, 1605, 2840, 13557, 4431, 45138, 703, 16, 7975, 281, 5430, 519, 2845, 16, 349, 1332, 309, 8944, 2127, 9223, 668, 6747, 1066, 424, 7848, 478, 1098, 406, 446, 861, 7075, 2299, 9410, 11775, 16, 22062, 16, 11732, 22457, 5230, 28738, 1354, 14263, 289, 322, 687, 697, 18, 6373, 411, 6575, 1810, 510, 453, 22168, 308, 578, 3264, 18, 889, 785, 11009, 18428, 3236, 309, 3463, 289, 3960, 1129, 38435, 2921, 4651, 37519, 1247, 16, 753, 971, 2552, 411, 5920, 1378, 2733, 2175, 23552, 17705, 726, 1514, 12727, 304, 18, 421, 22705, 1161, 19957, 16, 334, 17, 324, 3326, 4538, 18, 25971, 632, 9052, 320, 16, 26306, 755, 289, 334, 4153, 28057, 1016, 10193, 11123, 4415, 289, 37762, 478, 404, 4171, 2009, 4626, 910, 6455, 541, 11330, 3872, 8252, 4314, 541, 34962, 6266, 30, 428, 8969, 8944, 2127, 11428, 5090, 282, 45648, 703, 32939, 2968, 35, 985, 3665, 16, 3176, 14263, 510, 4443, 289, 42681, 18, 3492, 17, 299, 2271, 1738, 16, 374, 15998, 14321, 510, 48410, 12058, 18, 3492, 17, 299, 510, 374, 8162, 289, 29246, 9671, 276, 16, 515, 281, 32983, 42851, 35175, 5307, 18, 3492, 17, 299, 23870, 1514, 16465, 5067, 360, 1878, 649, 282, 14647, 680, 4257, 18, 3492, 17, 299, 941, 1042, 315, 15097, 1279, 7545, 3314, 49094, 18, 12824, 5823, 2805, 5520, 8944, 1133, 18587, 16, 4310, 510, 1307, 301, 15526, 16, 24721, 510, 33312, 18, 385, 1369, 7282, 45648, 16, 9605, 16, 30267, 18, 632, 9052, 320, 14843, 475, 481, 6494, 16, 17296, 18912, 2195, 16, 374, 17, 299, 5542, 4165, 16, 988, 17, 299, 26375, 3064, 18, 439, 971, 23081, 6905, 834, 14325, 18, 14527, 26572, 27204, 4699, 334, 2638, 2843, 16, 20224, 289, 14128, 18, 817, 1109, 4652, 453, 30, 8404, 16, 36174, 374, 5387, 510, 26252, 2787, 344, 670, 1034, 10667, 17, 618, 1476, 292, 2749, 16, 3744, 263, 35175, 2640, 670, 4505, 575, 6600, 11044, 309, 336, 12536, 10992, 8944, 582, 16, 515, 36174, 481, 16, 1494, 12113, 282, 4822, 3441, 5023, 290, 970, 16, 374, 481, 475, 322, 1139, 453, 16, 367, 567, 3499, 3217, 3453, 11428, 4260, 18, 3863, 6478, 3126, 2172, 1381, 6938, 14617, 22160, 1519, 309, 33788, 24923, 1805, 18, 15517, 16, 8018, 275, 22845, 5331, 18, 37251, 8560, 2158, 21106, 967, 6788, 375, 10824, 37712, 4772, 272, 16, 2006, 492, 322, 11417, 5342, 18, 365, 812, 43748, 30, 1548, 374, 7748, 2485, 382, 745, 360, 5478, 16, 367, 33835, 309, 2456, 2463, 294, 2891, 289, 4247, 371, 803, 23266, 425, 2152, 334, 26048, 18, 2151, 23331, 1018, 6938, 32039, 16, 1085, 282, 4884, 1750, 492, 583, 18, 459, 8093, 7695, 11155, 542, 510, 44302, 3655, 11161, 368, 741, 2514, 27567, 18, 24397, 5064, 21422, 3872, 48844, 30, 745, 30244, 309, 1279, 17730, 2431, 19068, 289, 27619, 7069, 478, 22420, 470, 41041, 44206, 289, 2522, 25058, 478, 406, 910, 30465, 371, 803, 3714, 290, 3714, 18, 889, 935, 322, 6529, 282, 41966, 6003, 16, 481, 15696, 7940, 19738, 16, 46885, 25568, 27812, 18, 365, 3177, 529, 944, 678, 24810, 309, 3885, 763, 2553, 18, 8859, 14428, 722, 3257, 289, 309, 2107, 5939, 18, 2681, 1122, 4226, 371, 6788, 34131, 478, 404, 3744, 263, 813, 3660, 16, 1882, 45974, 36935, 470, 510, 11857, 322, 918, 3407, 3771, 16, 34581, 394, 30274, 16, 12817, 451, 2152, 289, 16, 2091, 16, 478, 918, 470, 510, 475, 282, 19535, 18, 17271, 4465, 35974, 7583, 12384, 1852, 11963, 29054, 18, 1606, 28433, 334, 45426, 1715, 8095, 758, 16, 1830, 309, 2456, 2463, 16258, 11864, 18, 11339, 1223, 282, 1420, 17415, 12034, 2837, 36892, 334, 27952, 16, 942, 2023, 16, 20426, 8966, 1880, 510, 309, 35850, 289, 17757, 3463, 18, 365, 6031, 11268, 21067, 282, 21394, 10090, 13166, 469, 17733, 291, 4528, 478, 1259, 346, 3427, 910, 478, 377, 4207, 431, 5355, 19, 1024, 45737, 10204, 470, 670, 478, 1554, 412, 362, 766, 617, 19, 1458, 1285, 412, 362, 766, 617, 910, 2917, 1639, 289, 4557, 8394, 32202, 848, 31541, 18, 2387, 1033, 14254, 416, 24489, 541, 2443, 24620, 30265, 1437, 18, 365, 502, 575, 808, 1003, 282, 12384, 289, 7203, 2672, 2936, 346, 28630, 39251, 16, 3556, 4946, 16, 29207, 40876, 416, 14399, 16, 502, 912, 8647, 722, 11407, 18, 985, 6441, 16, 32845, 12373, 2750, 510, 481, 6190, 14776, 293, 4139, 4511, 3162, 7080, 16, 5295, 468, 25736, 16, 8762, 3589, 22275, 564, 33372, 2917, 21840, 17925, 18, 5091, 1078, 309, 1247, 478, 2824, 2240, 5433, 2654, 3014, 411, 924, 16, 478, 15890, 14658, 861, 49370, 2459, 478 ]
[ 408, 910, 289, 840, 478, 2986, 470, 1583, 21115, 18, 13268, 18, 16543, 264, 2328, 18, 459, 1373, 417, 2760, 21748, 294, 24034, 12874, 276, 632, 9052, 665, 289, 22688, 18484, 722, 309, 19795, 9805, 19833, 5075, 18, 20125, 309, 37119, 668, 8417, 510, 35202, 18, 20125, 2900, 16, 428, 6732, 16, 510, 1609, 10443, 18, 20125, 11203, 349, 3018, 40603, 24163, 366, 510, 1432, 4565, 357, 18, 20125, 28575, 349, 22837, 5180, 516, 510, 1030, 4251, 18, 740, 687, 47581, 282, 4492, 16, 374, 475, 481, 387, 20884, 322, 1139, 453, 16, 367, 12113, 282, 4432, 6551, 428, 43470, 2848, 24923, 18939, 18, 2387, 17, 1344, 16, 481, 322, 2808, 399, 598, 478, 20124, 429, 750, 6245, 466, 1223, 861, 2787, 510, 396, 7178, 315, 17, 353, 400, 3878, 16, 367, 417, 6836, 396, 12034, 1398, 17, 12920, 647, 18, 1483, 502, 16, 374, 25623, 16, 428, 10128, 282, 2059, 7178, 315, 17, 353, 20141, 8372, 1949, 28923, 11833, 305, 845, 28017, 16, 322, 329, 8082, 16, 827, 3885, 847, 2291, 282, 1190, 18, 2465, 1698, 31942, 30, 367, 322, 290, 1350, 1484, 520, 1175, 35307, 330, 967, 6788, 375, 16, 785, 14914, 4165, 16, 428, 12534, 953, 23125, 1683, 35, 832, 290, 1169, 520, 1143, 1223, 959, 47554, 3989, 2443, 25725, 289, 290, 17300, 448, 1749, 282, 5200, 43444, 16354, 35, 981, 16, 2091, 18, 740, 309, 2456, 2463, 282, 7252, 411, 697, 43083, 883, 3257, 17882, 1613, 9814, 25404, 8984, 46745, 38154, 18, 608, 967, 426, 20801, 22531, 290, 1175, 45128, 1812, 309, 652, 6788, 282, 4459, 21081, 416, 38692, 18, 6096, 42843, 1320, 2548, 290, 1175, 16, 515, 428, 17, 299, 453, 1494, 7155, 16, 374, 282, 22668, 478, 1744, 326, 523, 289, 17458, 910, 2734, 18468, 510, 23872, 478, 3975, 482, 7840, 30661, 861, 3647, 14935, 6096, 378, 406, 4083, 1624, 2024, 687, 374, 3029, 4375, 40039, 1524, 4485, 268, 1703, 3652, 665, 37733, 16, 6938, 497, 310, 15403, 290, 970, 16, 428, 492, 840, 3624, 309, 8125, 1175, 16, 515, 322, 13194, 709, 289, 4255, 1475, 309, 502, 16, 374, 282, 13324, 6653, 478, 20659, 3629, 470, 322, 38802, 16, 367, 478, 27874, 11908, 470, 2734, 520, 322, 309, 1209, 2669, 2662, 18, 365, 4784, 16, 3257, 590, 3252, 319, 16, 785, 19079, 3771, 16, 367, 785, 510, 19826, 18, 459, 971, 16, 912, 25400, 6569, 16, 367, 912, 17724, 1749, 16, 282, 1710, 25059, 7050, 18, 2787, 912, 656, 18, 459, 39676, 1247, 510, 5571, 43674, 18, 3771, 282, 3106, 557, 6818, 11065, 5348, 4286, 411, 813, 510, 481, 16, 334, 17, 10087, 16, 1561, 2234, 2433, 17486, 427, 10421, 1809, 289, 12034, 1809, 12687, 1437, 18, 3782, 399, 598, 265, 6946, 15823, 16997, 20897, 30, 28420, 6551, 289, 36174, 475, 374, 9168, 781, 18, 2, 1, 87, 1456, 81, 2448, 30, 11227, 38775, 31804, 467, 289, 38775, 299, 375, 1246, 3690, 3364, 414, 15649, 6477, 18, 2228, 936, 1666, 11952, 905, 16, 289, 17325, 895, 15177, 506, 18, 29322, 382, 9261, 2044, 16, 3057, 16, 31755, 1018, 16, 6125, 34154, 38775, 31804, 467, 272, 1472, 5689, 402, 1682, 4364, 12961, 18, 28616, 1038, 15833, 16, 374, 5866, 18336, 2764, 453, 289, 322, 2458, 32488, 20534, 541, 6153, 2682, 18, 740, 745, 25156, 16, 374, 10014, 28435, 32033, 19339, 16, 289, 322, 5285, 5832, 722, 3655, 18378, 18, 31224, 30, 6889, 24795, 1205, 34450, 15858, 5740, 12260, 9416, 33401, 541, 38775, 299, 32231, 12661, 16, 1830, 3333, 12503, 16, 374, 492, 4040, 12260, 26006, 2503, 18, 2112, 36272, 10301, 6493, 405, 884, 519, 4843, 2932, 2634, 282, 2343, 7847, 779, 9795, 1262, 289, 17724, 45354, 4472, 548, 24781, 414, 541, 3453, 30782, 282, 2968, 38775, 31804, 467, 276, 3872, 32528, 448, 17488, 18, 13224, 9131, 17, 21521, 320, 5945, 16, 12987, 334, 35920, 34902, 899, 464, 2893, 715, 7156, 83, 21911, 1624, 17453, 4615, 16, 374, 478, 3736, 368, 470, 895, 11763, 519, 4843, 10590, 2634, 282, 11826, 1045, 18, 740, 639, 289, 8585, 6493, 405, 375, 17, 40450, 27579, 1356, 18, 478, 789, 13110, 13880, 6591, 5995, 6493, 405, 884, 4345, 16, 828, 428, 27048, 16, 1029, 282, 15614, 6031, 11952, 1344, 910, 510, 6443, 16, 282, 4810, 16, 282, 3998, 3612, 978, 779, 10193, 13205, 46038, 4468, 21039, 37384, 282, 7481, 582, 541, 35390, 12752, 37953, 18, 12726, 38775, 31804, 467, 276, 49786, 687, 37336, 1512, 289, 20358, 2156, 4951, 38151, 1380, 16, 4437, 4165, 492, 18, 459, 11826, 1205, 11661, 16154, 46802, 18, 385, 1939, 17, 28923, 2514, 4487, 1000, 5874, 8211, 282, 1061, 16, 25, 445, 18, 365, 4698, 5284, 3612, 26155, 779, 6493, 405, 375, 4281, 709, 282, 31820, 4843, 23, 16, 29, 17, 24, 16, 21, 4500, 18, 30726, 362, 525, 36692, 17583, 289, 281, 4778, 38775, 31804, 306, 2389, 18, 1540, 1246, 4607, 16, 741, 312, 2508, 282, 6591, 5866, 19120, 4135, 16, 5243, 530, 22299, 1924, 10068, 18, 996, 16, 38775, 2905, 2430, 39172, 3568, 1022, 613, 3828, 290, 1581, 10284, 5752, 4662, 48770, 16, 367, 24610, 38341, 27115, 47308, 769, 3044, 3386, 83, 6827, 4656, 23214, 282, 6815, 11343, 17025, 16, 32323, 1715, 6459, 7418, 26695, 16661, 978, 779, 541, 38775, 299, 32231, 12661, 9409, 17895, 31816, 1624, 12189, 478, 43072, 434, 20454, 5500, 861, 20409, 33843, 4266, 16, 374, 282, 12838, 309, 5814, 9601, 15396, 39599, 289, 33462, 10929, 411, 17, 431, 924, 16, 374, 6493, 405, 375, 16, 11271, 453, 16, 10117, 27872, 289, 47948, 506, 18, 3397, 309, 5814, 912, 1293, 505, 6961, 30, 951, 561, 8430, 410, 769, 6108, 16, 951, 561, 8430, 410, 44461, 289, 951, 561, 8430, 410, 715, 58, 18, 967, 803, 329, 33486, 951, 561, 8430, 410, 769, 6108, 1038, 18795, 39588, 16, 374, 895, 7869, 294, 15324, 1542, 864, 920, 273, 1237, 18, 9098, 4905, 16, 428, 4437, 9529, 14697, 16, 48454, 294, 46211, 1640, 7043, 18, 365, 45022, 8990, 38775, 31804, 467, 276, 14697, 1017, 3457, 1038, 46324, 309, 5814, 21462, 2514, 15429, 38775, 38489, 33059, 473, 23620, 51, 934, 961, 30827, 43294, 334, 44258, 25447, 19510, 2145, 473, 55, 23004, 814, 2949, 924, 16, 42557, 9416, 13656, 411, 17, 431, 924, 16, 374, 13205, 22996, 755, 453, 289, 322, 4263, 9959, 309, 28846, 6493, 405, 375, 17, 23743, 42, 16, 502, 912, 24297, 16, 42390, 5132, 309, 40157, 282, 38775, 31804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 408, 910, 289, 840, 478, 2986, 470, 1583, 21115, 18, 13268, 18, 16543, 264, 2328, 18, 459, 1373, 417, 2760, 21748, 294, 24034, 12874, 276, 632, 9052, 665, 289, 22688, 18484, 722, 309, 19795, 9805, 19833, 5075, 18, 20125, 309, 37119, 668, 8417, 510, 35202, 18, 20125, 2900, 16, 428, 6732, 16, 510, 1609, 10443, 18, 20125, 11203, 349, 3018, 40603, 24163, 366, 510, 1432, 4565, 357, 18, 20125, 28575, 349, 22837, 5180, 516, 510, 1030, 4251, 18, 740, 687, 47581, 282, 4492, 16, 374, 475, 481, 387, 20884, 322, 1139, 453, 16, 367, 12113, 282, 4432, 6551, 428, 43470, 2848, 24923, 18939, 18, 2387, 17, 1344, 16, 481, 322, 2808, 399, 598, 478, 20124, 429, 750, 6245, 466, 1223, 861, 2787, 510, 396, 7178, 315, 17, 353, 400, 3878, 16, 367, 417, 6836, 396, 12034, 1398, 17, 12920, 647, 18, 1483, 502, 16, 374, 25623, 16, 428, 10128, 282, 2059, 7178, 315, 17, 353, 20141, 8372, 1949, 28923, 11833, 305, 845, 28017, 16, 322, 329, 8082, 16, 827, 3885, 847, 2291, 282, 1190, 18, 2465, 1698, 31942, 30, 367, 322, 290, 1350, 1484, 520, 1175, 35307, 330, 967, 6788, 375, 16, 785, 14914, 4165, 16, 428, 12534, 953, 23125, 1683, 35, 832, 290, 1169, 520, 1143, 1223, 959, 47554, 3989, 2443, 25725, 289, 290, 17300, 448, 1749, 282, 5200, 43444, 16354, 35, 981, 16, 2091, 18, 740, 309, 2456, 2463, 282, 7252, 411, 697, 43083, 883, 3257, 17882, 1613, 9814, 25404, 8984, 46745, 38154, 18, 608, 967, 426, 20801, 22531, 290, 1175, 45128, 1812, 309, 652, 6788, 282, 4459, 21081, 416, 38692, 18, 6096, 42843, 1320, 2548, 290, 1175, 16, 515, 428, 17, 299, 453, 1494, 7155, 16, 374, 282, 22668, 478, 1744, 326, 523, 289, 17458, 910, 2734, 18468, 510, 23872, 478, 3975, 482, 7840, 30661, 861, 3647, 14935, 6096, 378, 406, 4083, 1624, 2024, 687, 374, 3029, 4375, 40039, 1524, 4485, 268, 1703, 3652, 665, 37733, 16, 6938, 497, 310, 15403, 290, 970, 16, 428, 492, 840, 3624, 309, 8125, 1175, 16, 515, 322, 13194, 709, 289, 4255, 1475, 309, 502, 16, 374, 282, 13324, 6653, 478, 20659, 3629, 470, 322, 38802, 16, 367, 478, 27874, 11908, 470, 2734, 520, 322, 309, 1209, 2669, 2662, 18, 365, 4784, 16, 3257, 590, 3252, 319, 16, 785, 19079, 3771, 16, 367, 785, 510, 19826, 18, 459, 971, 16, 912, 25400, 6569, 16, 367, 912, 17724, 1749, 16, 282, 1710, 25059, 7050, 18, 2787, 912, 656, 18, 459, 39676, 1247, 510, 5571, 43674, 18, 3771, 282, 3106, 557, 6818, 11065, 5348, 4286, 411, 813, 510, 481, 16, 334, 17, 10087, 16, 1561, 2234, 2433, 17486, 427, 10421, 1809, 289, 12034, 1809, 12687, 1437, 18, 3782, 399, 598, 265, 6946, 15823, 16997, 20897, 30, 28420, 6551, 289, 36174, 475, 374, 9168, 781, 18, 2, 1, 87, 1456, 81, 2448, 30, 11227, 38775, 31804, 467, 289, 38775, 299, 375, 1246, 3690, 3364, 414, 15649, 6477, 18, 2228, 936, 1666, 11952, 905, 16, 289, 17325, 895, 15177, 506, 18, 29322, 382, 9261, 2044, 16, 3057, 16, 31755, 1018, 16, 6125, 34154, 38775, 31804, 467, 272, 1472, 5689, 402, 1682, 4364, 12961, 18, 28616, 1038, 15833, 16, 374, 5866, 18336, 2764, 453, 289, 322, 2458, 32488, 20534, 541, 6153, 2682, 18, 740, 745, 25156, 16, 374, 10014, 28435, 32033, 19339, 16, 289, 322, 5285, 5832, 722, 3655, 18378, 18, 31224, 30, 6889, 24795, 1205, 34450, 15858, 5740, 12260, 9416, 33401, 541, 38775, 299, 32231, 12661, 16, 1830, 3333, 12503, 16, 374, 492, 4040, 12260, 26006, 2503, 18, 2112, 36272, 10301, 6493, 405, 884, 519, 4843, 2932, 2634, 282, 2343, 7847, 779, 9795, 1262, 289, 17724, 45354, 4472, 548, 24781, 414, 541, 3453, 30782, 282, 2968, 38775, 31804, 467, 276, 3872, 32528, 448, 17488, 18, 13224, 9131, 17, 21521, 320, 5945, 16, 12987, 334, 35920, 34902, 899, 464, 2893, 715, 7156, 83, 21911, 1624, 17453, 4615, 16, 374, 478, 3736, 368, 470, 895, 11763, 519, 4843, 10590, 2634, 282, 11826, 1045, 18, 740, 639, 289, 8585, 6493, 405, 375, 17, 40450, 27579, 1356, 18, 478, 789, 13110, 13880, 6591, 5995, 6493, 405, 884, 4345, 16, 828, 428, 27048, 16, 1029, 282, 15614, 6031, 11952, 1344, 910, 510, 6443, 16, 282, 4810, 16, 282, 3998, 3612, 978, 779, 10193, 13205, 46038, 4468, 21039, 37384, 282, 7481, 582, 541, 35390, 12752, 37953, 18, 12726, 38775, 31804, 467, 276, 49786, 687, 37336, 1512, 289, 20358, 2156, 4951, 38151, 1380, 16, 4437, 4165, 492, 18, 459, 11826, 1205, 11661, 16154, 46802, 18, 385, 1939, 17, 28923, 2514, 4487, 1000, 5874, 8211, 282, 1061, 16, 25, 445, 18, 365, 4698, 5284, 3612, 26155, 779, 6493, 405, 375, 4281, 709, 282, 31820, 4843, 23, 16, 29, 17, 24, 16, 21, 4500, 18, 30726, 362, 525, 36692, 17583, 289, 281, 4778, 38775, 31804, 306, 2389, 18, 1540, 1246, 4607, 16, 741, 312, 2508, 282, 6591, 5866, 19120, 4135, 16, 5243, 530, 22299, 1924, 10068, 18, 996, 16, 38775, 2905, 2430, 39172, 3568, 1022, 613, 3828, 290, 1581, 10284, 5752, 4662, 48770, 16, 367, 24610, 38341, 27115, 47308, 769, 3044, 3386, 83, 6827, 4656, 23214, 282, 6815, 11343, 17025, 16, 32323, 1715, 6459, 7418, 26695, 16661, 978, 779, 541, 38775, 299, 32231, 12661, 9409, 17895, 31816, 1624, 12189, 478, 43072, 434, 20454, 5500, 861, 20409, 33843, 4266, 16, 374, 282, 12838, 309, 5814, 9601, 15396, 39599, 289, 33462, 10929, 411, 17, 431, 924, 16, 374, 6493, 405, 375, 16, 11271, 453, 16, 10117, 27872, 289, 47948, 506, 18, 3397, 309, 5814, 912, 1293, 505, 6961, 30, 951, 561, 8430, 410, 769, 6108, 16, 951, 561, 8430, 410, 44461, 289, 951, 561, 8430, 410, 715, 58, 18, 967, 803, 329, 33486, 951, 561, 8430, 410, 769, 6108, 1038, 18795, 39588, 16, 374, 895, 7869, 294, 15324, 1542, 864, 920, 273, 1237, 18, 9098, 4905, 16, 428, 4437, 9529, 14697, 16, 48454, 294, 46211, 1640, 7043, 18, 365, 45022, 8990, 38775, 31804, 467, 276, 14697, 1017, 3457, 1038, 46324, 309, 5814, 21462, 2514, 15429, 38775, 38489, 33059, 473, 23620, 51, 934, 961, 30827, 43294, 334, 44258, 25447, 19510, 2145, 473, 55, 23004, 814, 2949, 924, 16, 42557, 9416, 13656, 411, 17, 431, 924, 16, 374, 13205, 22996, 755, 453, 289, 322, 4263, 9959, 309, 28846, 6493, 405, 375, 17, 23743, 42, 16, 502, 912, 24297, 16, 42390, 5132, 309, 40157, 282, 38775, 31804 ]
[ 467, 276, 18, 4756, 6493, 405, 375, 17, 2817, 16138, 264, 1262, 17453, 6985, 16, 374, 7794, 2567, 24297, 35723, 23284, 4135, 282, 38775, 299, 32231, 2340, 306, 360, 7402, 876, 1901, 23271, 18, 832, 10675, 16321, 329, 23271, 289, 7865, 6143, 9526, 38775, 31804, 467, 276, 12473, 22480, 674, 282, 31755, 426, 18, 1253, 23735, 282, 16790, 1939, 3750, 16, 722, 6134, 371, 489, 15786, 294, 10811, 5662, 18898, 282, 4008, 10960, 18, 824, 22573, 1629, 6710, 7741, 49184, 5888, 680, 1963, 16, 42557, 42123, 10850, 12473, 22480, 674, 309, 4843, 27, 6654, 3763, 18, 10056, 10926, 2963, 373, 3836, 1423, 38775, 31804, 467, 272, 16, 3057, 16, 282, 26341, 281, 9609, 18, 2046, 16, 428, 2815, 282, 8151, 3972, 16338, 44072, 6365, 2407, 4210, 37962, 19751, 1624, 2407, 1055, 322, 15069, 28788, 309, 38775, 552, 18, 478, 18780, 1226, 31755, 1018, 281, 12473, 22480, 674, 510, 481, 10615, 34857, 16, 371, 803, 1177, 13695, 39215, 1211, 18027, 282, 10209, 294, 38775, 31804, 306, 2675, 18, 403, 4237, 299, 22393, 3063, 322, 9258, 266, 49864, 22847, 3860, 18, 9098, 12890, 12563, 4633, 309, 17016, 16, 1055, 7441, 281, 23691, 12402, 289, 15861, 21285, 322, 4463, 13617, 38775, 31804, 467, 272, 910, 510, 49644, 45940, 1902, 2531, 2542, 3720, 4845, 18, 365, 502, 575, 808, 12189, 5273, 16, 374, 16, 4813, 309, 17325, 8990, 16, 38775, 31804, 467, 276, 282, 970, 2100, 16, 282, 2114, 656, 697, 7836, 1314, 16, 10387, 322, 18798, 4716, 18, 478, 26635, 3305, 1441, 840, 14583, 6330, 16, 4300, 16, 349, 2948, 11769, 16967, 3741, 38775, 31804, 467, 18, 17369, 25385, 4221, 1699, 343, 38775, 31804, 467, 360, 6493, 405, 884, 18, 12167, 17993, 322, 939, 1904, 16, 13672, 505, 12419, 318, 18, 3747, 309, 32579, 1061, 17, 26, 986, 492, 289, 895, 6273, 294, 2581, 1876, 7847, 779, 18, 31312, 575, 11918, 3281, 510, 481, 11016, 1007, 16, 2341, 7050, 322, 3570, 22636, 353, 910, 510, 2548, 41330, 18, 365, 11826, 1045, 453, 289, 322, 906, 46493, 15127, 6439, 26903, 30, 9625, 38775, 31804, 306, 2389, 334, 17, 6093, 6993, 7339, 16, 2548, 290, 32942, 43927, 6070, 1789, 15561, 16, 41330, 8752, 5324, 541, 23271, 1057, 56, 514, 83, 282, 1175, 289, 16879, 18, 478, 27717, 32937, 21215, 1698, 6993, 3257, 15529, 2764, 30, 16160, 448, 289, 11857, 478, 297, 623, 413, 3793, 470, 28183, 382, 16, 19478, 3030, 1188, 28154, 320, 3334, 5514, 1134, 16, 581, 289, 2702, 1139, 33968, 1519, 322, 1613, 39061, 371, 2273, 8665, 553, 16, 289, 387, 4336, 4251, 1634, 16587, 8599, 18, 403, 4237, 31804, 467, 276, 281, 3928, 726, 17113, 986, 16, 515, 475, 16, 1660, 3225, 9422, 16, 510, 6125, 22110, 10044, 300, 541, 47886, 1437, 289, 14033, 34942, 13765, 16, 1655, 428, 290, 31984, 5241, 763, 38775, 31804, 467, 276, 8180, 1055, 322, 3419, 910, 510, 2548, 12189, 18, 967, 803, 41330, 27081, 16, 374, 381, 937, 5995, 6493, 405, 884, 33220, 38775, 299, 2817, 16138, 264, 1356, 3440, 5370, 290, 6853, 620, 7601, 582, 289, 35281, 6153, 1519, 3674, 282, 8241, 5773, 39382, 7492, 9206, 16, 40071, 281, 5173, 11028, 2764, 670, 47016, 319, 3674, 16, 20881, 10372, 3276, 6929, 18, 6070, 1789, 15561, 14782, 16, 374, 282, 26155, 1045, 5874, 6493, 405, 884, 840, 11392, 282, 31820, 4843, 22, 39271, 510, 4843, 24, 39271, 349, 42134, 18, 824, 3163, 29760, 17895, 350, 1161, 16, 1717, 2615, 20981, 26155, 17, 361, 779, 840, 567, 10246, 28167, 13852, 7043, 16, 453, 428, 282, 481, 808, 19988, 3003, 6356, 281, 1302, 56, 42, 18, 478, 3693, 19816, 1302, 56, 42, 473, 925, 575, 3038, 282, 803, 13, 12393, 341, 541, 7043, 12584, 536, 478, 436, 37292, 2509, 12711, 14603, 910, 1029, 2753, 341, 4313, 1510, 48281, 18, 29286, 360, 6291, 874, 3003, 11857, 329, 715, 23004, 1003, 16, 912, 2490, 1775, 10286, 20594, 35539, 16, 289, 13557, 26155, 17, 361, 656, 28511, 13852, 12893, 910, 510, 2548, 678, 18, 439, 867, 5547, 309, 48317, 44895, 39407, 4843, 23, 2562, 17, 25, 2562, 865, 847, 3989, 7514, 536, 541, 6493, 405, 884, 371, 15128, 17926, 282, 5329, 13550, 5946, 2570, 7385, 8718, 16, 26698, 9409, 17895, 31816, 18, 439, 1484, 512, 3720, 16, 41330, 2241, 478, 1182, 375, 732, 285, 910, 5273, 16, 374, 294, 34084, 6493, 405, 375, 895, 46497, 519, 4843, 26, 2562, 18, 5043, 16, 14574, 309, 685, 839, 12792, 5837, 322, 2353, 16, 367, 24242, 448, 2764, 867, 16, 1085, 21679, 17735, 282, 6493, 405, 375, 309, 32134, 282, 4843, 2479, 17, 2932, 2634, 16, 41754, 2381, 2504, 322, 834, 1344, 18, 2, 1, 87, 1456, 81, 2448, 30, 682, 14101, 1505, 5119, 8070, 9038, 5024, 290, 12056, 292, 2954, 16, 9996, 1519, 6053, 6271, 289, 15343, 21975, 14461, 697, 37802, 18, 385, 16436, 3137, 870, 7272, 1568, 29292, 12984, 27402, 30012, 18, 9584, 30149, 2358, 5693, 294, 36527, 16, 515, 6721, 11203, 281, 3280, 758, 2204, 5613, 289, 44263, 360, 17411, 16, 6881, 282, 15719, 432, 6144, 2794, 7920, 292, 18, 31224, 30, 563, 430, 4189, 3771, 11660, 4804, 6135, 282, 13858, 3320, 727, 9899, 1182, 16, 2412, 9037, 47010, 281, 24228, 31860, 4135, 16, 20474, 45815, 6929, 18, 20346, 34895, 4946, 18390, 4770, 1175, 14900, 1568, 290, 17998, 1290, 45815, 43532, 2204, 7715, 18, 3877, 2627, 4490, 282, 1169, 7272, 19196, 309, 478, 21464, 3228, 8468, 541, 35113, 16, 36003, 289, 32174, 14412, 12517, 16, 282, 970, 2875, 281, 11237, 22909, 17, 314, 5388, 2325, 368, 16, 289, 1493, 10414, 3280, 432, 15706, 16, 18942, 40558, 16, 19194, 427, 360, 32371, 17411, 289, 48297, 25708, 16, 367, 1038, 7358, 11340, 4568, 15706, 470, 6373, 411, 22912, 15774, 510, 3772, 20286, 25383, 5119, 473, 727, 29209, 6778, 294, 6802, 1703, 2948, 395, 2954, 18, 13466, 382, 15434, 37662, 5337, 2509, 36587, 4371, 381, 26352, 289, 2513, 2376, 1209, 25736, 15570, 1562, 18, 4342, 17, 8422, 299, 1568, 26218, 5252, 6802, 2127, 20362, 18, 36478, 2509, 36587, 2702, 13296, 10159, 16, 753, 32665, 12512, 44465, 16, 367, 1038, 9038, 8761, 1465, 290, 18005, 4135, 334, 14540, 21785, 3247, 18, 3791, 3772, 294, 3352, 290, 12056, 292, 289, 18005, 4076, 12486, 2204, 6676, 9597, 18, 5181, 16, 371, 9423, 24807, 4075, 18, 32166, 6431, 289, 1562, 16, 2470, 1587, 4371, 16, 3482, 8751, 6802, 2127, 20362, 16, 3857, 13981, 16, 16170, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 467, 276, 18, 4756, 6493, 405, 375, 17, 2817, 16138, 264, 1262, 17453, 6985, 16, 374, 7794, 2567, 24297, 35723, 23284, 4135, 282, 38775, 299, 32231, 2340, 306, 360, 7402, 876, 1901, 23271, 18, 832, 10675, 16321, 329, 23271, 289, 7865, 6143, 9526, 38775, 31804, 467, 276, 12473, 22480, 674, 282, 31755, 426, 18, 1253, 23735, 282, 16790, 1939, 3750, 16, 722, 6134, 371, 489, 15786, 294, 10811, 5662, 18898, 282, 4008, 10960, 18, 824, 22573, 1629, 6710, 7741, 49184, 5888, 680, 1963, 16, 42557, 42123, 10850, 12473, 22480, 674, 309, 4843, 27, 6654, 3763, 18, 10056, 10926, 2963, 373, 3836, 1423, 38775, 31804, 467, 272, 16, 3057, 16, 282, 26341, 281, 9609, 18, 2046, 16, 428, 2815, 282, 8151, 3972, 16338, 44072, 6365, 2407, 4210, 37962, 19751, 1624, 2407, 1055, 322, 15069, 28788, 309, 38775, 552, 18, 478, 18780, 1226, 31755, 1018, 281, 12473, 22480, 674, 510, 481, 10615, 34857, 16, 371, 803, 1177, 13695, 39215, 1211, 18027, 282, 10209, 294, 38775, 31804, 306, 2675, 18, 403, 4237, 299, 22393, 3063, 322, 9258, 266, 49864, 22847, 3860, 18, 9098, 12890, 12563, 4633, 309, 17016, 16, 1055, 7441, 281, 23691, 12402, 289, 15861, 21285, 322, 4463, 13617, 38775, 31804, 467, 272, 910, 510, 49644, 45940, 1902, 2531, 2542, 3720, 4845, 18, 365, 502, 575, 808, 12189, 5273, 16, 374, 16, 4813, 309, 17325, 8990, 16, 38775, 31804, 467, 276, 282, 970, 2100, 16, 282, 2114, 656, 697, 7836, 1314, 16, 10387, 322, 18798, 4716, 18, 478, 26635, 3305, 1441, 840, 14583, 6330, 16, 4300, 16, 349, 2948, 11769, 16967, 3741, 38775, 31804, 467, 18, 17369, 25385, 4221, 1699, 343, 38775, 31804, 467, 360, 6493, 405, 884, 18, 12167, 17993, 322, 939, 1904, 16, 13672, 505, 12419, 318, 18, 3747, 309, 32579, 1061, 17, 26, 986, 492, 289, 895, 6273, 294, 2581, 1876, 7847, 779, 18, 31312, 575, 11918, 3281, 510, 481, 11016, 1007, 16, 2341, 7050, 322, 3570, 22636, 353, 910, 510, 2548, 41330, 18, 365, 11826, 1045, 453, 289, 322, 906, 46493, 15127, 6439, 26903, 30, 9625, 38775, 31804, 306, 2389, 334, 17, 6093, 6993, 7339, 16, 2548, 290, 32942, 43927, 6070, 1789, 15561, 16, 41330, 8752, 5324, 541, 23271, 1057, 56, 514, 83, 282, 1175, 289, 16879, 18, 478, 27717, 32937, 21215, 1698, 6993, 3257, 15529, 2764, 30, 16160, 448, 289, 11857, 478, 297, 623, 413, 3793, 470, 28183, 382, 16, 19478, 3030, 1188, 28154, 320, 3334, 5514, 1134, 16, 581, 289, 2702, 1139, 33968, 1519, 322, 1613, 39061, 371, 2273, 8665, 553, 16, 289, 387, 4336, 4251, 1634, 16587, 8599, 18, 403, 4237, 31804, 467, 276, 281, 3928, 726, 17113, 986, 16, 515, 475, 16, 1660, 3225, 9422, 16, 510, 6125, 22110, 10044, 300, 541, 47886, 1437, 289, 14033, 34942, 13765, 16, 1655, 428, 290, 31984, 5241, 763, 38775, 31804, 467, 276, 8180, 1055, 322, 3419, 910, 510, 2548, 12189, 18, 967, 803, 41330, 27081, 16, 374, 381, 937, 5995, 6493, 405, 884, 33220, 38775, 299, 2817, 16138, 264, 1356, 3440, 5370, 290, 6853, 620, 7601, 582, 289, 35281, 6153, 1519, 3674, 282, 8241, 5773, 39382, 7492, 9206, 16, 40071, 281, 5173, 11028, 2764, 670, 47016, 319, 3674, 16, 20881, 10372, 3276, 6929, 18, 6070, 1789, 15561, 14782, 16, 374, 282, 26155, 1045, 5874, 6493, 405, 884, 840, 11392, 282, 31820, 4843, 22, 39271, 510, 4843, 24, 39271, 349, 42134, 18, 824, 3163, 29760, 17895, 350, 1161, 16, 1717, 2615, 20981, 26155, 17, 361, 779, 840, 567, 10246, 28167, 13852, 7043, 16, 453, 428, 282, 481, 808, 19988, 3003, 6356, 281, 1302, 56, 42, 18, 478, 3693, 19816, 1302, 56, 42, 473, 925, 575, 3038, 282, 803, 13, 12393, 341, 541, 7043, 12584, 536, 478, 436, 37292, 2509, 12711, 14603, 910, 1029, 2753, 341, 4313, 1510, 48281, 18, 29286, 360, 6291, 874, 3003, 11857, 329, 715, 23004, 1003, 16, 912, 2490, 1775, 10286, 20594, 35539, 16, 289, 13557, 26155, 17, 361, 656, 28511, 13852, 12893, 910, 510, 2548, 678, 18, 439, 867, 5547, 309, 48317, 44895, 39407, 4843, 23, 2562, 17, 25, 2562, 865, 847, 3989, 7514, 536, 541, 6493, 405, 884, 371, 15128, 17926, 282, 5329, 13550, 5946, 2570, 7385, 8718, 16, 26698, 9409, 17895, 31816, 18, 439, 1484, 512, 3720, 16, 41330, 2241, 478, 1182, 375, 732, 285, 910, 5273, 16, 374, 294, 34084, 6493, 405, 375, 895, 46497, 519, 4843, 26, 2562, 18, 5043, 16, 14574, 309, 685, 839, 12792, 5837, 322, 2353, 16, 367, 24242, 448, 2764, 867, 16, 1085, 21679, 17735, 282, 6493, 405, 375, 309, 32134, 282, 4843, 2479, 17, 2932, 2634, 16, 41754, 2381, 2504, 322, 834, 1344, 18, 2, 1, 87, 1456, 81, 2448, 30, 682, 14101, 1505, 5119, 8070, 9038, 5024, 290, 12056, 292, 2954, 16, 9996, 1519, 6053, 6271, 289, 15343, 21975, 14461, 697, 37802, 18, 385, 16436, 3137, 870, 7272, 1568, 29292, 12984, 27402, 30012, 18, 9584, 30149, 2358, 5693, 294, 36527, 16, 515, 6721, 11203, 281, 3280, 758, 2204, 5613, 289, 44263, 360, 17411, 16, 6881, 282, 15719, 432, 6144, 2794, 7920, 292, 18, 31224, 30, 563, 430, 4189, 3771, 11660, 4804, 6135, 282, 13858, 3320, 727, 9899, 1182, 16, 2412, 9037, 47010, 281, 24228, 31860, 4135, 16, 20474, 45815, 6929, 18, 20346, 34895, 4946, 18390, 4770, 1175, 14900, 1568, 290, 17998, 1290, 45815, 43532, 2204, 7715, 18, 3877, 2627, 4490, 282, 1169, 7272, 19196, 309, 478, 21464, 3228, 8468, 541, 35113, 16, 36003, 289, 32174, 14412, 12517, 16, 282, 970, 2875, 281, 11237, 22909, 17, 314, 5388, 2325, 368, 16, 289, 1493, 10414, 3280, 432, 15706, 16, 18942, 40558, 16, 19194, 427, 360, 32371, 17411, 289, 48297, 25708, 16, 367, 1038, 7358, 11340, 4568, 15706, 470, 6373, 411, 22912, 15774, 510, 3772, 20286, 25383, 5119, 473, 727, 29209, 6778, 294, 6802, 1703, 2948, 395, 2954, 18, 13466, 382, 15434, 37662, 5337, 2509, 36587, 4371, 381, 26352, 289, 2513, 2376, 1209, 25736, 15570, 1562, 18, 4342, 17, 8422, 299, 1568, 26218, 5252, 6802, 2127, 20362, 18, 36478, 2509, 36587, 2702, 13296, 10159, 16, 753, 32665, 12512, 44465, 16, 367, 1038, 9038, 8761, 1465, 290, 18005, 4135, 334, 14540, 21785, 3247, 18, 3791, 3772, 294, 3352, 290, 12056, 292, 289, 18005, 4076, 12486, 2204, 6676, 9597, 18, 5181, 16, 371, 9423, 24807, 4075, 18, 32166, 6431, 289, 1562, 16, 2470, 1587, 4371, 16, 3482, 8751, 6802, 2127, 20362, 16, 3857, 13981, 16, 16170, 282 ]
[ 40745, 16934, 334, 43532, 2658, 1876, 282, 3177, 25873, 309, 19048, 18, 478, 3693, 11229, 5825, 1300, 3264, 1812, 282, 14244, 18558, 16, 10070, 17808, 14451, 6549, 6802, 16, 749, 49749, 19058, 542, 289, 16325, 910, 510, 25262, 282, 15719, 547, 40745, 18, 403, 2222, 575, 47762, 282, 31595, 7272, 8015, 1973, 1097, 22897, 31498, 16, 2486, 20165, 8341, 28485, 1562, 289, 9657, 33410, 7257, 349, 41666, 1979, 29480, 17729, 18, 2086, 27606, 2722, 3352, 1966, 5700, 22758, 41062, 2246, 919, 289, 12898, 5643, 26659, 30, 14463, 16, 3018, 2024, 6723, 1007, 16, 17205, 37833, 360, 8709, 47099, 4284, 1378, 48770, 18, 9584, 44601, 13022, 478, 296, 1414, 4646, 441, 451, 18974, 861, 13466, 382, 15434, 11428, 30375, 2651, 40776, 21539, 37802, 16, 367, 21722, 510, 37662, 290, 9423, 329, 1129, 316, 1414, 4646, 4929, 18, 2949, 924, 16, 49098, 28469, 2990, 371, 9423, 15251, 282, 47349, 4135, 38030, 2948, 8006, 670, 322, 21071, 505, 18, 34674, 343, 8232, 289, 2419, 10902, 18, 42427, 25573, 281, 1721, 465, 2840, 670, 1218, 1041, 9439, 1551, 14558, 349, 8150, 282, 12402, 6491, 520, 40363, 3775, 2654, 670, 41550, 12779, 1533, 289, 1033, 1393, 9534, 11400, 14412, 7257, 473, 35464, 4533, 1505, 289, 7296, 1733, 2241, 814, 824, 15324, 14371, 475, 31296, 6951, 1747, 15434, 35309, 35138, 334, 27310, 282, 41379, 2100, 18, 1178, 3785, 322, 19029, 5337, 7576, 31481, 1066, 282, 3178, 1533, 2868, 334, 43871, 37822, 12783, 16, 1568, 4360, 5337, 2509, 36587, 371, 262, 5220, 874, 6053, 334, 2948, 395, 6723, 1731, 18, 1178, 3674, 309, 49834, 17411, 453, 289, 322, 1747, 27601, 16, 367, 11244, 2241, 840, 11771, 541, 41073, 24966, 1188, 7143, 304, 670, 10844, 20394, 16, 1568, 36954, 48274, 441, 668, 8341, 14314, 289, 21089, 2241, 2200, 24939, 35306, 18, 365, 5118, 477, 5163, 2389, 727, 9899, 1182, 1568, 3007, 5252, 25295, 451, 31427, 1713, 4869, 16, 10663, 30892, 5034, 668, 8341, 349, 45148, 49320, 12517, 334, 6981, 721, 17788, 4076, 309, 12056, 322, 4661, 2155, 281, 11237, 33570, 432, 6702, 473, 660, 4256, 986, 17703, 8124, 934, 367, 1038, 349, 35121, 554, 3443, 2466, 17788, 4076, 18, 37254, 2523, 31974, 1568, 30149, 2358, 24324, 334, 8823, 294, 36527, 16, 26136, 282, 3177, 25873, 11285, 6897, 22941, 334, 12402, 12384, 16, 515, 10050, 16, 374, 8922, 11359, 7272, 6058, 10304, 1482, 6731, 3961, 282, 8384, 281, 4779, 12915, 17, 314, 5388, 2325, 1082, 18, 478, 38869, 1377, 496, 4040, 28609, 46561, 30737, 289, 13367, 4999, 3623, 3416, 1568, 412, 397, 8652, 432, 20171, 910, 510, 11680, 282, 40745, 18, 39212, 607, 411, 7920, 16934, 334, 43532, 2658, 1876, 15833, 16, 374, 36820, 294, 17998, 4143, 1493, 10414, 3280, 432, 15706, 6575, 21029, 16, 367, 37703, 478, 3032, 2116, 617, 470, 15154, 322, 31163, 318, 18, 478, 14102, 1074, 484, 16, 374, 15634, 1033, 828, 282, 1272, 4570, 7919, 45348, 12517, 16, 19984, 3302, 8842, 1147, 32381, 16, 31176, 2175, 13190, 847, 428, 309, 18558, 3012, 11881, 17881, 16, 453, 289, 309, 2204, 4568, 10070, 2662, 7257, 16, 19393, 1587, 6053, 281, 3094, 23264, 13409, 289, 17672, 35306, 910, 510, 5130, 282, 25873, 7920, 18, 478, 3096, 10796, 878, 13864, 31333, 8275, 16, 1029, 4452, 281, 44552, 15631, 16, 282, 970, 2875, 289, 7208, 23305, 5856, 23271, 910, 510, 18590, 6349, 1944, 2325, 622, 41505, 2559, 11309, 289, 3203, 7920, 16934, 334, 43532, 2658, 1876, 15626, 22937, 3930, 18, 832, 3240, 14254, 539, 808, 3516, 315, 16, 10050, 9541, 17, 22079, 472, 10852, 672, 3720, 6420, 394, 5881, 18, 478, 17603, 808, 11289, 539, 510, 17325, 4981, 16, 22506, 309, 15966, 16, 935, 27594, 20048, 467, 4823, 910, 510, 2548, 492, 16, 3116, 7892, 16, 374, 9099, 17773, 1513, 8197, 371, 1033, 10664, 547, 42457, 4349, 18, 14438, 4836, 510, 753, 322, 19299, 40486, 448, 5754, 16, 29487, 6420, 394, 5881, 30, 478, 22975, 322, 3012, 4207, 3577, 328, 3276, 3224, 12310, 3149, 304, 861, 2, 1, 87, 1456, 81, 2448, 30, 48165, 5099, 93, 3936, 69, 16, 1650, 4749, 4466, 10966, 58, 13601, 289, 1149, 8917, 58, 13601, 16, 21708, 294, 14555, 309, 8275, 8063, 17, 614, 14573, 18, 1540, 1246, 4607, 8219, 2625, 2764, 282, 1481, 350, 668, 25125, 306, 16, 4660, 2728, 309, 16685, 269, 12670, 282, 2145, 18, 2230, 11535, 3430, 451, 29186, 5099, 93, 3936, 69, 510, 13588, 2587, 280, 7362, 37623, 27977, 1496, 401, 289, 20888, 44327, 7671, 1130, 55, 56, 18, 31224, 30, 48165, 5099, 93, 3936, 69, 16, 7275, 4749, 33235, 4466, 10966, 58, 13601, 16, 1149, 8917, 58, 13601, 289, 860, 9845, 1831, 43354, 16, 15069, 2019, 309, 8275, 8063, 17, 614, 14573, 18, 8444, 8977, 16, 374, 43781, 3775, 282, 25858, 22193, 7113, 9806, 282, 2630, 281, 18183, 22506, 309, 1129, 282, 12462, 18, 832, 20846, 16, 374, 4466, 1747, 13458, 1954, 282, 21992, 281, 2107, 11024, 16, 45922, 282, 5099, 93, 3936, 69, 16, 322, 48431, 14938, 17815, 18, 478, 4925, 3338, 12525, 656, 13517, 16, 374, 5092, 2354, 294, 35102, 1119, 11293, 360, 22193, 7113, 9806, 16, 510, 15875, 1273, 27971, 15402, 24639, 14840, 2241, 18, 510, 1345, 7556, 1121, 339, 9744, 281, 10287, 758, 28844, 541, 924, 16, 753, 1882, 3670, 1177, 8275, 289, 21790, 37261, 3775, 861, 740, 30199, 5099, 93, 3936, 69, 322, 15773, 16, 9299, 492, 18, 365, 4675, 808, 22193, 7392, 8063, 17, 7470, 282, 2145, 45385, 18, 2681, 282, 23991, 832, 342, 347, 3219, 10197, 8063, 17, 299, 4673, 431, 1250, 281, 13756, 353, 309, 652, 320, 510, 2891, 42103, 31117, 15743, 22773, 18, 740, 282, 11023, 4440, 779, 26459, 24001, 1576, 35697, 16, 374, 10337, 539, 24324, 322, 46065, 3040, 2675, 11670, 10808, 11710, 381, 22193, 7113, 16702, 282, 12462, 18, 478, 22319, 4830, 17917, 343, 32870, 19352, 16, 374, 3716, 15605, 5189, 22193, 7113, 8063, 17, 2711, 269, 3960, 42552, 3219, 12720, 289, 322, 29657, 42152, 20704, 18, 889, 6411, 16, 374, 282, 1129, 942, 6281, 935, 309, 26962, 5066, 910, 510, 15875, 10280, 11813, 5109, 40, 1694, 40342, 46817, 5044, 5675, 24135, 18, 18197, 448, 2241, 16, 7296, 1733, 26191, 16, 510, 34352, 573, 7436, 42165, 25480, 289, 860, 43, 49, 13488, 18471, 12877, 510, 935, 13731, 16685, 287, 25215, 14749, 18, 2112, 16409, 1489, 12794, 294, 26903, 2204, 1250, 21038, 6125, 34154, 6138, 8063, 17, 14845, 665, 18, 34352, 573, 7436, 23414, 9217, 3663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40745, 16934, 334, 43532, 2658, 1876, 282, 3177, 25873, 309, 19048, 18, 478, 3693, 11229, 5825, 1300, 3264, 1812, 282, 14244, 18558, 16, 10070, 17808, 14451, 6549, 6802, 16, 749, 49749, 19058, 542, 289, 16325, 910, 510, 25262, 282, 15719, 547, 40745, 18, 403, 2222, 575, 47762, 282, 31595, 7272, 8015, 1973, 1097, 22897, 31498, 16, 2486, 20165, 8341, 28485, 1562, 289, 9657, 33410, 7257, 349, 41666, 1979, 29480, 17729, 18, 2086, 27606, 2722, 3352, 1966, 5700, 22758, 41062, 2246, 919, 289, 12898, 5643, 26659, 30, 14463, 16, 3018, 2024, 6723, 1007, 16, 17205, 37833, 360, 8709, 47099, 4284, 1378, 48770, 18, 9584, 44601, 13022, 478, 296, 1414, 4646, 441, 451, 18974, 861, 13466, 382, 15434, 11428, 30375, 2651, 40776, 21539, 37802, 16, 367, 21722, 510, 37662, 290, 9423, 329, 1129, 316, 1414, 4646, 4929, 18, 2949, 924, 16, 49098, 28469, 2990, 371, 9423, 15251, 282, 47349, 4135, 38030, 2948, 8006, 670, 322, 21071, 505, 18, 34674, 343, 8232, 289, 2419, 10902, 18, 42427, 25573, 281, 1721, 465, 2840, 670, 1218, 1041, 9439, 1551, 14558, 349, 8150, 282, 12402, 6491, 520, 40363, 3775, 2654, 670, 41550, 12779, 1533, 289, 1033, 1393, 9534, 11400, 14412, 7257, 473, 35464, 4533, 1505, 289, 7296, 1733, 2241, 814, 824, 15324, 14371, 475, 31296, 6951, 1747, 15434, 35309, 35138, 334, 27310, 282, 41379, 2100, 18, 1178, 3785, 322, 19029, 5337, 7576, 31481, 1066, 282, 3178, 1533, 2868, 334, 43871, 37822, 12783, 16, 1568, 4360, 5337, 2509, 36587, 371, 262, 5220, 874, 6053, 334, 2948, 395, 6723, 1731, 18, 1178, 3674, 309, 49834, 17411, 453, 289, 322, 1747, 27601, 16, 367, 11244, 2241, 840, 11771, 541, 41073, 24966, 1188, 7143, 304, 670, 10844, 20394, 16, 1568, 36954, 48274, 441, 668, 8341, 14314, 289, 21089, 2241, 2200, 24939, 35306, 18, 365, 5118, 477, 5163, 2389, 727, 9899, 1182, 1568, 3007, 5252, 25295, 451, 31427, 1713, 4869, 16, 10663, 30892, 5034, 668, 8341, 349, 45148, 49320, 12517, 334, 6981, 721, 17788, 4076, 309, 12056, 322, 4661, 2155, 281, 11237, 33570, 432, 6702, 473, 660, 4256, 986, 17703, 8124, 934, 367, 1038, 349, 35121, 554, 3443, 2466, 17788, 4076, 18, 37254, 2523, 31974, 1568, 30149, 2358, 24324, 334, 8823, 294, 36527, 16, 26136, 282, 3177, 25873, 11285, 6897, 22941, 334, 12402, 12384, 16, 515, 10050, 16, 374, 8922, 11359, 7272, 6058, 10304, 1482, 6731, 3961, 282, 8384, 281, 4779, 12915, 17, 314, 5388, 2325, 1082, 18, 478, 38869, 1377, 496, 4040, 28609, 46561, 30737, 289, 13367, 4999, 3623, 3416, 1568, 412, 397, 8652, 432, 20171, 910, 510, 11680, 282, 40745, 18, 39212, 607, 411, 7920, 16934, 334, 43532, 2658, 1876, 15833, 16, 374, 36820, 294, 17998, 4143, 1493, 10414, 3280, 432, 15706, 6575, 21029, 16, 367, 37703, 478, 3032, 2116, 617, 470, 15154, 322, 31163, 318, 18, 478, 14102, 1074, 484, 16, 374, 15634, 1033, 828, 282, 1272, 4570, 7919, 45348, 12517, 16, 19984, 3302, 8842, 1147, 32381, 16, 31176, 2175, 13190, 847, 428, 309, 18558, 3012, 11881, 17881, 16, 453, 289, 309, 2204, 4568, 10070, 2662, 7257, 16, 19393, 1587, 6053, 281, 3094, 23264, 13409, 289, 17672, 35306, 910, 510, 5130, 282, 25873, 7920, 18, 478, 3096, 10796, 878, 13864, 31333, 8275, 16, 1029, 4452, 281, 44552, 15631, 16, 282, 970, 2875, 289, 7208, 23305, 5856, 23271, 910, 510, 18590, 6349, 1944, 2325, 622, 41505, 2559, 11309, 289, 3203, 7920, 16934, 334, 43532, 2658, 1876, 15626, 22937, 3930, 18, 832, 3240, 14254, 539, 808, 3516, 315, 16, 10050, 9541, 17, 22079, 472, 10852, 672, 3720, 6420, 394, 5881, 18, 478, 17603, 808, 11289, 539, 510, 17325, 4981, 16, 22506, 309, 15966, 16, 935, 27594, 20048, 467, 4823, 910, 510, 2548, 492, 16, 3116, 7892, 16, 374, 9099, 17773, 1513, 8197, 371, 1033, 10664, 547, 42457, 4349, 18, 14438, 4836, 510, 753, 322, 19299, 40486, 448, 5754, 16, 29487, 6420, 394, 5881, 30, 478, 22975, 322, 3012, 4207, 3577, 328, 3276, 3224, 12310, 3149, 304, 861, 2, 1, 87, 1456, 81, 2448, 30, 48165, 5099, 93, 3936, 69, 16, 1650, 4749, 4466, 10966, 58, 13601, 289, 1149, 8917, 58, 13601, 16, 21708, 294, 14555, 309, 8275, 8063, 17, 614, 14573, 18, 1540, 1246, 4607, 8219, 2625, 2764, 282, 1481, 350, 668, 25125, 306, 16, 4660, 2728, 309, 16685, 269, 12670, 282, 2145, 18, 2230, 11535, 3430, 451, 29186, 5099, 93, 3936, 69, 510, 13588, 2587, 280, 7362, 37623, 27977, 1496, 401, 289, 20888, 44327, 7671, 1130, 55, 56, 18, 31224, 30, 48165, 5099, 93, 3936, 69, 16, 7275, 4749, 33235, 4466, 10966, 58, 13601, 16, 1149, 8917, 58, 13601, 289, 860, 9845, 1831, 43354, 16, 15069, 2019, 309, 8275, 8063, 17, 614, 14573, 18, 8444, 8977, 16, 374, 43781, 3775, 282, 25858, 22193, 7113, 9806, 282, 2630, 281, 18183, 22506, 309, 1129, 282, 12462, 18, 832, 20846, 16, 374, 4466, 1747, 13458, 1954, 282, 21992, 281, 2107, 11024, 16, 45922, 282, 5099, 93, 3936, 69, 16, 322, 48431, 14938, 17815, 18, 478, 4925, 3338, 12525, 656, 13517, 16, 374, 5092, 2354, 294, 35102, 1119, 11293, 360, 22193, 7113, 9806, 16, 510, 15875, 1273, 27971, 15402, 24639, 14840, 2241, 18, 510, 1345, 7556, 1121, 339, 9744, 281, 10287, 758, 28844, 541, 924, 16, 753, 1882, 3670, 1177, 8275, 289, 21790, 37261, 3775, 861, 740, 30199, 5099, 93, 3936, 69, 322, 15773, 16, 9299, 492, 18, 365, 4675, 808, 22193, 7392, 8063, 17, 7470, 282, 2145, 45385, 18, 2681, 282, 23991, 832, 342, 347, 3219, 10197, 8063, 17, 299, 4673, 431, 1250, 281, 13756, 353, 309, 652, 320, 510, 2891, 42103, 31117, 15743, 22773, 18, 740, 282, 11023, 4440, 779, 26459, 24001, 1576, 35697, 16, 374, 10337, 539, 24324, 322, 46065, 3040, 2675, 11670, 10808, 11710, 381, 22193, 7113, 16702, 282, 12462, 18, 478, 22319, 4830, 17917, 343, 32870, 19352, 16, 374, 3716, 15605, 5189, 22193, 7113, 8063, 17, 2711, 269, 3960, 42552, 3219, 12720, 289, 322, 29657, 42152, 20704, 18, 889, 6411, 16, 374, 282, 1129, 942, 6281, 935, 309, 26962, 5066, 910, 510, 15875, 10280, 11813, 5109, 40, 1694, 40342, 46817, 5044, 5675, 24135, 18, 18197, 448, 2241, 16, 7296, 1733, 26191, 16, 510, 34352, 573, 7436, 42165, 25480, 289, 860, 43, 49, 13488, 18471, 12877, 510, 935, 13731, 16685, 287, 25215, 14749, 18, 2112, 16409, 1489, 12794, 294, 26903, 2204, 1250, 21038, 6125, 34154, 6138, 8063, 17, 14845, 665, 18, 34352, 573, 7436, 23414, 9217, 3663 ]
[ 7578, 34851, 593, 969, 2542, 444, 18, 439, 860, 43, 49, 44030, 1481, 38514, 4211, 282, 492, 12586, 404, 1248, 5018, 5342, 3430, 778, 6404, 301, 350, 18, 8615, 11820, 10014, 28435, 282, 12462, 726, 26916, 8334, 23271, 18, 4756, 23844, 39145, 37610, 12877, 1180, 41594, 40044, 23854, 4014, 4173, 12025, 1901, 26191, 541, 10249, 510, 33068, 9508, 48174, 21196, 49593, 349, 4843, 16041, 3763, 18, 5637, 15389, 1234, 55, 46, 282, 12893, 15833, 16, 374, 14909, 12670, 895, 1852, 24825, 1683, 541, 12464, 6357, 933, 7080, 1251, 2204, 8943, 26191, 289, 4014, 13108, 8063, 17, 2711, 269, 16, 367, 1038, 2831, 758, 4601, 2608, 18, 36757, 1505, 7005, 5099, 93, 3936, 69, 567, 10246, 28326, 360, 10249, 30, 349, 2948, 8752, 5324, 43433, 39805, 10047, 1033, 6374, 9, 15706, 18, 365, 4466, 5099, 93, 3936, 69, 7556, 16004, 2364, 4055, 25, 3763, 1135, 334, 4547, 8290, 18, 608, 5099, 93, 3936, 69, 912, 9700, 44240, 506, 309, 5814, 8063, 17, 614, 14573, 16, 3785, 726, 4014, 455, 3560, 34393, 4871, 5099, 93, 3936, 69, 969, 2542, 444, 16, 30937, 14697, 18, 365, 1047, 16004, 1033, 1409, 3763, 1135, 16, 515, 21215, 9843, 282, 9547, 12025, 4314, 42097, 16, 2588, 4385, 12623, 9587, 282, 21657, 2764, 18, 365, 12354, 4440, 779, 39762, 6187, 5099, 93, 3936, 69, 9840, 378, 10746, 267, 3828, 290, 18979, 2241, 334, 4463, 2977, 5099, 93, 3936, 69, 41441, 13227, 16, 1586, 840, 27098, 1248, 10249, 18, 385, 3195, 1710, 3785, 27081, 18787, 2782, 42049, 1728, 26397, 2496, 19901, 8063, 17, 614, 14573, 18, 4185, 3145, 27987, 281, 34352, 573, 7436, 289, 12877, 1180, 41594, 40044, 16, 5099, 93, 3936, 69, 895, 3089, 22691, 670, 5529, 10845, 16, 329, 1754, 726, 912, 9971, 8253, 289, 3952, 282, 6491, 8063, 17, 299, 4673, 431, 2632, 16, 41274, 4364, 14697, 10280, 11813, 5109, 40, 18, 6831, 681, 11535, 3430, 432, 37001, 5099, 93, 3936, 69, 912, 289, 10933, 30, 430, 16, 24, 9, 19510, 2241, 17845, 32852, 18, 1572, 13949, 1624, 1754, 49082, 12272, 20171, 7362, 37623, 27977, 1496, 401, 289, 20888, 44327, 7671, 18, 640, 9268, 23616, 23143, 8379, 5099, 93, 3936, 69, 20299, 309, 1286, 16, 11672, 7418, 519, 4843, 29, 16, 8174, 349, 26314, 16, 3131, 17204, 2241, 23980, 4843, 26, 16, 8066, 5096, 18, 2, 1, 87, 1456, 81, 2448, 30, 12105, 554, 18256, 2301, 11468, 347, 14977, 9650, 798, 411, 17, 431, 26312, 432, 47412, 8468, 16, 6442, 282, 19267, 2407, 18, 17944, 282, 3187, 4267, 9804, 6927, 977, 14113, 1137, 5090, 18, 29658, 32872, 16, 374, 282, 23308, 17, 306, 5521, 20152, 14977, 1195, 24274, 680, 31469, 1195, 26150, 13668, 341, 23308, 25146, 17257, 651, 19208, 289, 15785, 1254, 4313, 289, 13397, 680, 15440, 18, 31224, 30, 10269, 303, 1254, 289, 15785, 1254, 309, 8078, 14977, 282, 803, 1045, 1195, 26150, 322, 9438, 530, 16, 6442, 16338, 282, 44315, 7225, 2407, 18, 1367, 803, 3110, 391, 26448, 18, 478, 677, 2630, 477, 2031, 758, 17996, 262, 5976, 43473, 334, 29588, 22628, 15440, 282, 36798, 9804, 5447, 9383, 2301, 2808, 347, 9650, 798, 910, 510, 5130, 282, 9907, 9322, 11413, 18, 10105, 39749, 2125, 898, 13668, 1380, 23308, 10601, 289, 32472, 13397, 680, 16, 6798, 17, 25135, 416, 16, 18622, 17, 1243, 5855, 289, 4313, 15440, 510, 334, 20740, 986, 5521, 7244, 18, 365, 7345, 451, 5447, 370, 989, 22907, 17442, 5616, 451, 16927, 2230, 17, 6475, 16, 31468, 12269, 309, 12908, 519, 23902, 1135, 9082, 3150, 16, 15785, 1254, 2230, 17, 6862, 682, 780, 16, 1241, 17, 11275, 478, 618, 9589, 486, 755, 470, 289, 2230, 17, 6654, 18, 10105, 13845, 17528, 2125, 898, 13668, 1380, 8485, 2257, 19410, 6951, 5649, 17, 12555, 13164, 780, 16, 8485, 2257, 351, 582, 25481, 873, 5649, 17, 46504, 16, 4965, 288, 2594, 8205, 19410, 6951, 5649, 17, 5759, 780, 23, 18, 2949, 924, 16, 282, 35264, 2095, 2808, 347, 3005, 12570, 38843, 19208, 22201, 17, 9965, 289, 3609, 326, 1386, 264, 1599, 4961, 22201, 17, 10272, 18, 7100, 16, 282, 9516, 1195, 26150, 2125, 898, 282, 22239, 37581, 13668, 1380, 26282, 6343, 3463, 478, 10520, 1133, 11161, 274, 848, 470, 309, 9607, 31691, 7188, 17, 3161, 48090, 289, 478, 563, 1198, 675, 470, 309, 44822, 17, 6894, 18, 999, 1807, 745, 13747, 373, 2303, 1742, 994, 282, 1929, 1408, 7179, 1421, 273, 1412, 287, 18, 439, 8270, 783, 541, 2808, 347, 906, 22073, 798, 309, 17252, 6684, 24816, 1408, 282, 10504, 15209, 2553, 18, 365, 5579, 17, 13825, 7218, 549, 2301, 2808, 347, 12935, 16, 5923, 727, 4742, 18, 5909, 313, 873, 289, 4446, 20541, 10208, 11152, 1195, 16742, 31739, 17528, 9817, 32472, 289, 10601, 18, 365, 7345, 668, 3824, 1225, 1005, 864, 9311, 22612, 1245, 17, 1256, 448, 15785, 1254, 1241, 17, 11275, 16, 2230, 17, 6475, 289, 2230, 17, 28, 18, 2949, 924, 16, 282, 2808, 476, 7650, 3455, 19208, 1236, 17, 2783, 16, 1236, 17, 6475, 16, 7188, 17, 5493, 16, 367, 1038, 44140, 7188, 17, 7751, 289, 2230, 297, 17, 8914, 651, 475, 293, 8142, 451, 48980, 17, 6781, 41555, 2572, 31934, 2332, 6041, 3193, 18, 16920, 22864, 549, 2301, 11468, 347, 7801, 282, 3507, 281, 28593, 714, 10738, 651, 334, 13845, 378, 13114, 488, 8056, 282, 37581, 2511, 13671, 18133, 289, 22839, 16482, 8312, 6657, 18, 4402, 356, 392, 6657, 21253, 17816, 457, 17, 7751, 17, 13896, 18, 478, 20377, 2434, 26648, 343, 910, 1038, 24484, 428, 17816, 14977, 16, 27547, 3455, 282, 9697, 4946, 6053, 478, 12003, 844, 345, 356, 470, 282, 15783, 8802, 11743, 779, 18, 8276, 7562, 17816, 457, 17, 7751, 281, 17911, 17, 9097, 836, 7379, 2714, 3382, 282, 19721, 349, 21329, 13557, 11355, 779, 18, 24031, 349, 1498, 334, 10095, 6394, 2553, 20967, 19275, 27050, 11740, 478, 789, 2711, 269, 17, 780, 910, 282, 970, 2875, 281, 40699, 10306, 1080, 478, 7306, 8262, 305, 910, 281, 36623, 12248, 49440, 478, 9865, 1344, 17, 822, 910, 367, 1038, 13495, 478, 26053, 49339, 17, 684, 470, 1032, 292, 24, 18, 478, 789, 7470, 470, 4732, 19117, 764, 282, 6982, 1045, 18, 1303, 870, 13495, 27234, 541, 21265, 13416, 9536, 16, 4447, 7932, 16, 35379, 2682, 371, 4230, 432, 1440, 16, 367, 1038, 27959, 20024, 289, 8312, 6657, 18, 999, 2872, 334, 31749, 1973, 582, 48889, 39755, 616, 10323, 16677, 504, 17316, 17, 16497, 16, 367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7578, 34851, 593, 969, 2542, 444, 18, 439, 860, 43, 49, 44030, 1481, 38514, 4211, 282, 492, 12586, 404, 1248, 5018, 5342, 3430, 778, 6404, 301, 350, 18, 8615, 11820, 10014, 28435, 282, 12462, 726, 26916, 8334, 23271, 18, 4756, 23844, 39145, 37610, 12877, 1180, 41594, 40044, 23854, 4014, 4173, 12025, 1901, 26191, 541, 10249, 510, 33068, 9508, 48174, 21196, 49593, 349, 4843, 16041, 3763, 18, 5637, 15389, 1234, 55, 46, 282, 12893, 15833, 16, 374, 14909, 12670, 895, 1852, 24825, 1683, 541, 12464, 6357, 933, 7080, 1251, 2204, 8943, 26191, 289, 4014, 13108, 8063, 17, 2711, 269, 16, 367, 1038, 2831, 758, 4601, 2608, 18, 36757, 1505, 7005, 5099, 93, 3936, 69, 567, 10246, 28326, 360, 10249, 30, 349, 2948, 8752, 5324, 43433, 39805, 10047, 1033, 6374, 9, 15706, 18, 365, 4466, 5099, 93, 3936, 69, 7556, 16004, 2364, 4055, 25, 3763, 1135, 334, 4547, 8290, 18, 608, 5099, 93, 3936, 69, 912, 9700, 44240, 506, 309, 5814, 8063, 17, 614, 14573, 16, 3785, 726, 4014, 455, 3560, 34393, 4871, 5099, 93, 3936, 69, 969, 2542, 444, 16, 30937, 14697, 18, 365, 1047, 16004, 1033, 1409, 3763, 1135, 16, 515, 21215, 9843, 282, 9547, 12025, 4314, 42097, 16, 2588, 4385, 12623, 9587, 282, 21657, 2764, 18, 365, 12354, 4440, 779, 39762, 6187, 5099, 93, 3936, 69, 9840, 378, 10746, 267, 3828, 290, 18979, 2241, 334, 4463, 2977, 5099, 93, 3936, 69, 41441, 13227, 16, 1586, 840, 27098, 1248, 10249, 18, 385, 3195, 1710, 3785, 27081, 18787, 2782, 42049, 1728, 26397, 2496, 19901, 8063, 17, 614, 14573, 18, 4185, 3145, 27987, 281, 34352, 573, 7436, 289, 12877, 1180, 41594, 40044, 16, 5099, 93, 3936, 69, 895, 3089, 22691, 670, 5529, 10845, 16, 329, 1754, 726, 912, 9971, 8253, 289, 3952, 282, 6491, 8063, 17, 299, 4673, 431, 2632, 16, 41274, 4364, 14697, 10280, 11813, 5109, 40, 18, 6831, 681, 11535, 3430, 432, 37001, 5099, 93, 3936, 69, 912, 289, 10933, 30, 430, 16, 24, 9, 19510, 2241, 17845, 32852, 18, 1572, 13949, 1624, 1754, 49082, 12272, 20171, 7362, 37623, 27977, 1496, 401, 289, 20888, 44327, 7671, 18, 640, 9268, 23616, 23143, 8379, 5099, 93, 3936, 69, 20299, 309, 1286, 16, 11672, 7418, 519, 4843, 29, 16, 8174, 349, 26314, 16, 3131, 17204, 2241, 23980, 4843, 26, 16, 8066, 5096, 18, 2, 1, 87, 1456, 81, 2448, 30, 12105, 554, 18256, 2301, 11468, 347, 14977, 9650, 798, 411, 17, 431, 26312, 432, 47412, 8468, 16, 6442, 282, 19267, 2407, 18, 17944, 282, 3187, 4267, 9804, 6927, 977, 14113, 1137, 5090, 18, 29658, 32872, 16, 374, 282, 23308, 17, 306, 5521, 20152, 14977, 1195, 24274, 680, 31469, 1195, 26150, 13668, 341, 23308, 25146, 17257, 651, 19208, 289, 15785, 1254, 4313, 289, 13397, 680, 15440, 18, 31224, 30, 10269, 303, 1254, 289, 15785, 1254, 309, 8078, 14977, 282, 803, 1045, 1195, 26150, 322, 9438, 530, 16, 6442, 16338, 282, 44315, 7225, 2407, 18, 1367, 803, 3110, 391, 26448, 18, 478, 677, 2630, 477, 2031, 758, 17996, 262, 5976, 43473, 334, 29588, 22628, 15440, 282, 36798, 9804, 5447, 9383, 2301, 2808, 347, 9650, 798, 910, 510, 5130, 282, 9907, 9322, 11413, 18, 10105, 39749, 2125, 898, 13668, 1380, 23308, 10601, 289, 32472, 13397, 680, 16, 6798, 17, 25135, 416, 16, 18622, 17, 1243, 5855, 289, 4313, 15440, 510, 334, 20740, 986, 5521, 7244, 18, 365, 7345, 451, 5447, 370, 989, 22907, 17442, 5616, 451, 16927, 2230, 17, 6475, 16, 31468, 12269, 309, 12908, 519, 23902, 1135, 9082, 3150, 16, 15785, 1254, 2230, 17, 6862, 682, 780, 16, 1241, 17, 11275, 478, 618, 9589, 486, 755, 470, 289, 2230, 17, 6654, 18, 10105, 13845, 17528, 2125, 898, 13668, 1380, 8485, 2257, 19410, 6951, 5649, 17, 12555, 13164, 780, 16, 8485, 2257, 351, 582, 25481, 873, 5649, 17, 46504, 16, 4965, 288, 2594, 8205, 19410, 6951, 5649, 17, 5759, 780, 23, 18, 2949, 924, 16, 282, 35264, 2095, 2808, 347, 3005, 12570, 38843, 19208, 22201, 17, 9965, 289, 3609, 326, 1386, 264, 1599, 4961, 22201, 17, 10272, 18, 7100, 16, 282, 9516, 1195, 26150, 2125, 898, 282, 22239, 37581, 13668, 1380, 26282, 6343, 3463, 478, 10520, 1133, 11161, 274, 848, 470, 309, 9607, 31691, 7188, 17, 3161, 48090, 289, 478, 563, 1198, 675, 470, 309, 44822, 17, 6894, 18, 999, 1807, 745, 13747, 373, 2303, 1742, 994, 282, 1929, 1408, 7179, 1421, 273, 1412, 287, 18, 439, 8270, 783, 541, 2808, 347, 906, 22073, 798, 309, 17252, 6684, 24816, 1408, 282, 10504, 15209, 2553, 18, 365, 5579, 17, 13825, 7218, 549, 2301, 2808, 347, 12935, 16, 5923, 727, 4742, 18, 5909, 313, 873, 289, 4446, 20541, 10208, 11152, 1195, 16742, 31739, 17528, 9817, 32472, 289, 10601, 18, 365, 7345, 668, 3824, 1225, 1005, 864, 9311, 22612, 1245, 17, 1256, 448, 15785, 1254, 1241, 17, 11275, 16, 2230, 17, 6475, 289, 2230, 17, 28, 18, 2949, 924, 16, 282, 2808, 476, 7650, 3455, 19208, 1236, 17, 2783, 16, 1236, 17, 6475, 16, 7188, 17, 5493, 16, 367, 1038, 44140, 7188, 17, 7751, 289, 2230, 297, 17, 8914, 651, 475, 293, 8142, 451, 48980, 17, 6781, 41555, 2572, 31934, 2332, 6041, 3193, 18, 16920, 22864, 549, 2301, 11468, 347, 7801, 282, 3507, 281, 28593, 714, 10738, 651, 334, 13845, 378, 13114, 488, 8056, 282, 37581, 2511, 13671, 18133, 289, 22839, 16482, 8312, 6657, 18, 4402, 356, 392, 6657, 21253, 17816, 457, 17, 7751, 17, 13896, 18, 478, 20377, 2434, 26648, 343, 910, 1038, 24484, 428, 17816, 14977, 16, 27547, 3455, 282, 9697, 4946, 6053, 478, 12003, 844, 345, 356, 470, 282, 15783, 8802, 11743, 779, 18, 8276, 7562, 17816, 457, 17, 7751, 281, 17911, 17, 9097, 836, 7379, 2714, 3382, 282, 19721, 349, 21329, 13557, 11355, 779, 18, 24031, 349, 1498, 334, 10095, 6394, 2553, 20967, 19275, 27050, 11740, 478, 789, 2711, 269, 17, 780, 910, 282, 970, 2875, 281, 40699, 10306, 1080, 478, 7306, 8262, 305, 910, 281, 36623, 12248, 49440, 478, 9865, 1344, 17, 822, 910, 367, 1038, 13495, 478, 26053, 49339, 17, 684, 470, 1032, 292, 24, 18, 478, 789, 7470, 470, 4732, 19117, 764, 282, 6982, 1045, 18, 1303, 870, 13495, 27234, 541, 21265, 13416, 9536, 16, 4447, 7932, 16, 35379, 2682, 371, 4230, 432, 1440, 16, 367, 1038, 27959, 20024, 289, 8312, 6657, 18, 999, 2872, 334, 31749, 1973, 582, 48889, 39755, 616, 10323, 16677, 504, 17316, 17, 16497, 16, 367 ]
[ 1038, 16970, 1527, 504, 23661, 478, 32711, 1709, 1577, 470, 289, 504, 23661, 17, 23, 18, 478, 32711, 1709, 1577, 17, 4691, 470, 3814, 11646, 13774, 8260, 7296, 14974, 40699, 10306, 1080, 281, 2555, 17, 9097, 5127, 12096, 8702, 27807, 491, 618, 9869, 289, 1409, 16, 13539, 6322, 3165, 12248, 11139, 8328, 24471, 40337, 473, 15163, 789, 814, 37254, 3407, 309, 20319, 12765, 4257, 282, 15381, 1045, 504, 23661, 17, 23, 2756, 14679, 24828, 304, 541, 1728, 1612, 510, 722, 2401, 5832, 360, 44513, 1051, 16907, 549, 13759, 987, 622, 16, 11041, 1063, 24019, 289, 2678, 16780, 23543, 411, 3128, 18, 365, 5214, 21214, 6884, 1038, 16970, 1527, 10933, 17633, 457, 17, 3940, 478, 7306, 47396, 470, 651, 5487, 282, 2968, 17633, 281, 1331, 1004, 6036, 7094, 845, 289, 22786, 7733, 19275, 38093, 1508, 5499, 541, 15574, 18, 19672, 478, 7306, 47396, 470, 473, 370, 24887, 18, 3434, 15554, 510, 5472, 13, 3621, 360, 11074, 5606, 7269, 31503, 26484, 3931, 18, 2949, 924, 16, 282, 478, 43721, 470, 2095, 11468, 347, 14977, 7650, 3455, 3531, 24803, 49685, 1157, 22734, 2620, 17, 47101, 432, 6114, 30, 3103, 9275, 5642, 9082, 3150, 504, 780, 822, 17, 24, 780, 289, 5270, 39755, 616, 10323, 13954, 504, 17316, 17, 780, 822, 780, 18, 32843, 1063, 7352, 9082, 3150, 504, 780, 822, 17, 24, 780, 510, 481, 14724, 309, 35148, 4267, 8954, 16, 1586, 895, 9082, 21608, 6149, 282, 2766, 7539, 10780, 34323, 536, 289, 34886, 3328, 9945, 289, 281, 24939, 32387, 3960, 16, 289, 749, 1047, 18, 365, 11468, 476, 1038, 20146, 22578, 7392, 8187, 448, 29083, 478, 23555, 17, 780, 22, 470, 289, 478, 983, 1285, 17, 780, 22, 910, 8187, 448, 9588, 478, 32356, 27647, 910, 41457, 448, 15430, 1133, 9588, 478, 780, 419, 17, 563, 470, 477, 44835, 17, 9097, 8702, 488, 2608, 16, 17633, 457, 17, 11327, 504, 1295, 281, 9240, 1873, 26452, 289, 8187, 448, 2926, 385, 17, 24342, 478, 20377, 748, 399, 470, 651, 4722, 34241, 5781, 6684, 8786, 16, 1931, 4990, 330, 3084, 25184, 309, 26962, 5814, 25970, 18, 365, 4810, 16, 478, 20377, 748, 5619, 470, 329, 1175, 25073, 29517, 16, 40991, 309, 14075, 477, 1963, 1728, 5508, 837, 334, 9808, 651, 23990, 25045, 11908, 651, 15333, 12435, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 292, 522, 1231, 7609, 2081, 448, 8187, 448, 15129, 510, 6190, 2499, 31940, 3050, 37328, 32885, 30349, 478, 1916, 342, 2612, 17, 3114, 470, 42931, 1773, 334, 48108, 289, 13179, 16374, 475, 30326, 5936, 18, 365, 30218, 12002, 16, 374, 7969, 30349, 895, 33250, 1380, 519, 3591, 4947, 2145, 18, 28616, 867, 322, 2619, 7501, 3236, 16, 374, 49085, 11444, 392, 9553, 17877, 334, 8833, 2675, 8711, 451, 5335, 16, 6996, 4266, 290, 10287, 416, 9461, 20436, 5211, 35392, 680, 23740, 382, 541, 1175, 18, 31224, 30, 19386, 549, 39483, 13282, 15129, 6190, 2499, 31940, 1809, 37328, 20141, 13436, 473, 780, 14796, 13, 478, 1916, 342, 2612, 17, 3114, 861, 2228, 328, 685, 42549, 411, 18937, 1485, 49085, 522, 8582, 282, 3765, 309, 4518, 4120, 282, 21156, 30, 2692, 4079, 334, 30367, 1612, 473, 5759, 30, 2692, 21014, 814, 16424, 30349, 41323, 334, 1514, 44715, 478, 1916, 342, 2612, 17, 3940, 910, 5491, 268, 451, 282, 13186, 16, 510, 30218, 45074, 8698, 48108, 473, 29, 3324, 4017, 13, 289, 12792, 473, 8400, 8564, 4017, 13, 16374, 18, 365, 2343, 4189, 5211, 35392, 1162, 30349, 9253, 18150, 12295, 1658, 7536, 4017, 16, 367, 1215, 20255, 16374, 14231, 1472, 4039, 646, 4017, 18, 24269, 6035, 726, 25262, 16775, 16, 42286, 289, 22350, 268, 35392, 1133, 9637, 18, 365, 11896, 30218, 16144, 16, 374, 478, 1916, 342, 2612, 17, 3114, 470, 8908, 17624, 478, 267, 2473, 296, 45194, 30502, 8711, 668, 4940, 11724, 454, 470, 289, 7926, 649, 478, 5218, 516, 3300, 309, 2923, 2145, 861, 23656, 5211, 35392, 718, 22969, 282, 2407, 48484, 16, 374, 20694, 37961, 6617, 19423, 6836, 2332, 17926, 478, 6952, 416, 1354, 5478, 30218, 470, 289, 541, 6198, 5211, 35392, 718, 49135, 871, 360, 478, 911, 33843, 28481, 31523, 626, 289, 25514, 14075, 477, 1963, 25045, 861, 365, 955, 293, 40872, 574, 1207, 8765, 7282, 16, 374, 30667, 28846, 35844, 406, 2175, 322, 8754, 300, 3623, 24213, 2044, 18, 6551, 870, 36015, 322, 5807, 925, 510, 3781, 17, 15975, 4830, 2407, 6370, 26334, 726, 2815, 16, 374, 5343, 5273, 3193, 30218, 478, 28845, 1214, 18302, 470, 289, 478, 293, 21769, 38737, 6591, 49049, 282, 9804, 861, 478, 4348, 42599, 339, 1177, 15553, 289, 31867, 16, 374, 1514, 31176, 11922, 9553, 8969, 21735, 16, 4116, 16820, 541, 924, 16, 753, 6295, 309, 2839, 1532, 1212, 34162, 322, 8093, 334, 2903, 3326, 39772, 910, 510, 1109, 26334, 18, 2777, 2679, 322, 8731, 3193, 49085, 522, 8582, 749, 8264, 510, 1011, 18427, 478, 1916, 342, 2612, 17, 3114, 470, 38367, 39483, 1320, 40451, 8187, 451, 15553, 18, 1614, 313, 268, 35392, 778, 5222, 38090, 35855, 599, 1540, 282, 16046, 4267, 4666, 1056, 418, 8382, 281, 12984, 2145, 5035, 433, 3663, 16078, 3258, 541, 17407, 26724, 5348, 18, 9668, 23127, 1642, 1038, 1628, 4978, 281, 7638, 17, 41854, 10440, 44906, 10320, 5714, 599, 18, 22154, 16, 2777, 2679, 289, 29329, 6938, 1300, 9973, 11506, 14777, 23070, 5790, 6897, 39661, 9085, 1624, 374, 16, 9705, 16, 1320, 5163, 2911, 541, 8689, 21584, 18, 10110, 2145, 8671, 1011, 25415, 11176, 811, 687, 24377, 49743, 30, 478, 4441, 6295, 16, 281, 1754, 656, 3755, 5898, 861, 2046, 5747, 16, 1011, 11330, 281, 20712, 25198, 2901, 1312, 848, 293, 278, 12285, 304, 16, 10218, 290, 3741, 11176, 5537, 41257, 282, 4599, 30218, 18, 478, 822, 1724, 22625, 12652, 448, 12435, 1279, 30218, 1747, 38052, 726, 1800, 18, 4922, 6295, 840, 424, 18409, 4271, 510, 6463, 28565, 282, 3177, 43287, 18, 21552, 7225, 2145, 19885, 24910, 20176, 567, 808, 11019, 281, 42176, 282, 4377, 304, 4122, 22618, 16, 374, 22154, 478, 31713, 303, 2746, 26200, 475, 15287, 16, 753, 43933, 289, 9985, 10328, 11440, 22100, 5451, 668, 2839, 29134, 445, 289, 8599, 10419, 360, 1360, 25514, 289, 37328, 20141, 4696, 861, 28616, 11493, 467, 16, 374, 5211, 35392, 1133, 13436, 726, 1698, 33749, 2923, 2145, 18, 824, 3163, 8840, 4696, 478, 1358, 868, 539, 322, 13077, 37820, 468, 470, 378, 732, 730, 17, 18418, 287, 12097, 18377, 326, 10788, 16, 4722, 15553, 2826, 1559 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 16970, 1527, 504, 23661, 478, 32711, 1709, 1577, 470, 289, 504, 23661, 17, 23, 18, 478, 32711, 1709, 1577, 17, 4691, 470, 3814, 11646, 13774, 8260, 7296, 14974, 40699, 10306, 1080, 281, 2555, 17, 9097, 5127, 12096, 8702, 27807, 491, 618, 9869, 289, 1409, 16, 13539, 6322, 3165, 12248, 11139, 8328, 24471, 40337, 473, 15163, 789, 814, 37254, 3407, 309, 20319, 12765, 4257, 282, 15381, 1045, 504, 23661, 17, 23, 2756, 14679, 24828, 304, 541, 1728, 1612, 510, 722, 2401, 5832, 360, 44513, 1051, 16907, 549, 13759, 987, 622, 16, 11041, 1063, 24019, 289, 2678, 16780, 23543, 411, 3128, 18, 365, 5214, 21214, 6884, 1038, 16970, 1527, 10933, 17633, 457, 17, 3940, 478, 7306, 47396, 470, 651, 5487, 282, 2968, 17633, 281, 1331, 1004, 6036, 7094, 845, 289, 22786, 7733, 19275, 38093, 1508, 5499, 541, 15574, 18, 19672, 478, 7306, 47396, 470, 473, 370, 24887, 18, 3434, 15554, 510, 5472, 13, 3621, 360, 11074, 5606, 7269, 31503, 26484, 3931, 18, 2949, 924, 16, 282, 478, 43721, 470, 2095, 11468, 347, 14977, 7650, 3455, 3531, 24803, 49685, 1157, 22734, 2620, 17, 47101, 432, 6114, 30, 3103, 9275, 5642, 9082, 3150, 504, 780, 822, 17, 24, 780, 289, 5270, 39755, 616, 10323, 13954, 504, 17316, 17, 780, 822, 780, 18, 32843, 1063, 7352, 9082, 3150, 504, 780, 822, 17, 24, 780, 510, 481, 14724, 309, 35148, 4267, 8954, 16, 1586, 895, 9082, 21608, 6149, 282, 2766, 7539, 10780, 34323, 536, 289, 34886, 3328, 9945, 289, 281, 24939, 32387, 3960, 16, 289, 749, 1047, 18, 365, 11468, 476, 1038, 20146, 22578, 7392, 8187, 448, 29083, 478, 23555, 17, 780, 22, 470, 289, 478, 983, 1285, 17, 780, 22, 910, 8187, 448, 9588, 478, 32356, 27647, 910, 41457, 448, 15430, 1133, 9588, 478, 780, 419, 17, 563, 470, 477, 44835, 17, 9097, 8702, 488, 2608, 16, 17633, 457, 17, 11327, 504, 1295, 281, 9240, 1873, 26452, 289, 8187, 448, 2926, 385, 17, 24342, 478, 20377, 748, 399, 470, 651, 4722, 34241, 5781, 6684, 8786, 16, 1931, 4990, 330, 3084, 25184, 309, 26962, 5814, 25970, 18, 365, 4810, 16, 478, 20377, 748, 5619, 470, 329, 1175, 25073, 29517, 16, 40991, 309, 14075, 477, 1963, 1728, 5508, 837, 334, 9808, 651, 23990, 25045, 11908, 651, 15333, 12435, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 292, 522, 1231, 7609, 2081, 448, 8187, 448, 15129, 510, 6190, 2499, 31940, 3050, 37328, 32885, 30349, 478, 1916, 342, 2612, 17, 3114, 470, 42931, 1773, 334, 48108, 289, 13179, 16374, 475, 30326, 5936, 18, 365, 30218, 12002, 16, 374, 7969, 30349, 895, 33250, 1380, 519, 3591, 4947, 2145, 18, 28616, 867, 322, 2619, 7501, 3236, 16, 374, 49085, 11444, 392, 9553, 17877, 334, 8833, 2675, 8711, 451, 5335, 16, 6996, 4266, 290, 10287, 416, 9461, 20436, 5211, 35392, 680, 23740, 382, 541, 1175, 18, 31224, 30, 19386, 549, 39483, 13282, 15129, 6190, 2499, 31940, 1809, 37328, 20141, 13436, 473, 780, 14796, 13, 478, 1916, 342, 2612, 17, 3114, 861, 2228, 328, 685, 42549, 411, 18937, 1485, 49085, 522, 8582, 282, 3765, 309, 4518, 4120, 282, 21156, 30, 2692, 4079, 334, 30367, 1612, 473, 5759, 30, 2692, 21014, 814, 16424, 30349, 41323, 334, 1514, 44715, 478, 1916, 342, 2612, 17, 3940, 910, 5491, 268, 451, 282, 13186, 16, 510, 30218, 45074, 8698, 48108, 473, 29, 3324, 4017, 13, 289, 12792, 473, 8400, 8564, 4017, 13, 16374, 18, 365, 2343, 4189, 5211, 35392, 1162, 30349, 9253, 18150, 12295, 1658, 7536, 4017, 16, 367, 1215, 20255, 16374, 14231, 1472, 4039, 646, 4017, 18, 24269, 6035, 726, 25262, 16775, 16, 42286, 289, 22350, 268, 35392, 1133, 9637, 18, 365, 11896, 30218, 16144, 16, 374, 478, 1916, 342, 2612, 17, 3114, 470, 8908, 17624, 478, 267, 2473, 296, 45194, 30502, 8711, 668, 4940, 11724, 454, 470, 289, 7926, 649, 478, 5218, 516, 3300, 309, 2923, 2145, 861, 23656, 5211, 35392, 718, 22969, 282, 2407, 48484, 16, 374, 20694, 37961, 6617, 19423, 6836, 2332, 17926, 478, 6952, 416, 1354, 5478, 30218, 470, 289, 541, 6198, 5211, 35392, 718, 49135, 871, 360, 478, 911, 33843, 28481, 31523, 626, 289, 25514, 14075, 477, 1963, 25045, 861, 365, 955, 293, 40872, 574, 1207, 8765, 7282, 16, 374, 30667, 28846, 35844, 406, 2175, 322, 8754, 300, 3623, 24213, 2044, 18, 6551, 870, 36015, 322, 5807, 925, 510, 3781, 17, 15975, 4830, 2407, 6370, 26334, 726, 2815, 16, 374, 5343, 5273, 3193, 30218, 478, 28845, 1214, 18302, 470, 289, 478, 293, 21769, 38737, 6591, 49049, 282, 9804, 861, 478, 4348, 42599, 339, 1177, 15553, 289, 31867, 16, 374, 1514, 31176, 11922, 9553, 8969, 21735, 16, 4116, 16820, 541, 924, 16, 753, 6295, 309, 2839, 1532, 1212, 34162, 322, 8093, 334, 2903, 3326, 39772, 910, 510, 1109, 26334, 18, 2777, 2679, 322, 8731, 3193, 49085, 522, 8582, 749, 8264, 510, 1011, 18427, 478, 1916, 342, 2612, 17, 3114, 470, 38367, 39483, 1320, 40451, 8187, 451, 15553, 18, 1614, 313, 268, 35392, 778, 5222, 38090, 35855, 599, 1540, 282, 16046, 4267, 4666, 1056, 418, 8382, 281, 12984, 2145, 5035, 433, 3663, 16078, 3258, 541, 17407, 26724, 5348, 18, 9668, 23127, 1642, 1038, 1628, 4978, 281, 7638, 17, 41854, 10440, 44906, 10320, 5714, 599, 18, 22154, 16, 2777, 2679, 289, 29329, 6938, 1300, 9973, 11506, 14777, 23070, 5790, 6897, 39661, 9085, 1624, 374, 16, 9705, 16, 1320, 5163, 2911, 541, 8689, 21584, 18, 10110, 2145, 8671, 1011, 25415, 11176, 811, 687, 24377, 49743, 30, 478, 4441, 6295, 16, 281, 1754, 656, 3755, 5898, 861, 2046, 5747, 16, 1011, 11330, 281, 20712, 25198, 2901, 1312, 848, 293, 278, 12285, 304, 16, 10218, 290, 3741, 11176, 5537, 41257, 282, 4599, 30218, 18, 478, 822, 1724, 22625, 12652, 448, 12435, 1279, 30218, 1747, 38052, 726, 1800, 18, 4922, 6295, 840, 424, 18409, 4271, 510, 6463, 28565, 282, 3177, 43287, 18, 21552, 7225, 2145, 19885, 24910, 20176, 567, 808, 11019, 281, 42176, 282, 4377, 304, 4122, 22618, 16, 374, 22154, 478, 31713, 303, 2746, 26200, 475, 15287, 16, 753, 43933, 289, 9985, 10328, 11440, 22100, 5451, 668, 2839, 29134, 445, 289, 8599, 10419, 360, 1360, 25514, 289, 37328, 20141, 4696, 861, 28616, 11493, 467, 16, 374, 5211, 35392, 1133, 13436, 726, 1698, 33749, 2923, 2145, 18, 824, 3163, 8840, 4696, 478, 1358, 868, 539, 322, 13077, 37820, 468, 470, 378, 732, 730, 17, 18418, 287, 12097, 18377, 326, 10788, 16, 4722, 15553, 2826, 1559 ]
[ 3818, 1793, 966, 349, 2651, 5901, 8187, 315, 17, 33819, 416, 4696, 30218, 18, 478, 730, 333, 871, 986, 555, 334, 322, 1965, 14970, 46840, 16, 367, 334, 3525, 19456, 9439, 16, 515, 827, 722, 37191, 282, 33853, 27639, 14036, 16, 502, 48120, 939, 12031, 16, 30349, 3207, 373, 18794, 519, 2923, 23990, 25045, 910, 510, 1109, 492, 18, 3557, 322, 2619, 16, 2955, 281, 24049, 21447, 16, 374, 1542, 30349, 9253, 373, 34298, 8711, 451, 13660, 519, 2145, 371, 17086, 31277, 18, 478, 4441, 16, 3848, 1223, 16, 639, 27849, 281, 7389, 8328, 13436, 16, 367, 322, 281, 15316, 4940, 11724, 761, 16, 2391, 30516, 48120, 906, 373, 6353, 4803, 910, 510, 9848, 18377, 326, 7960, 18, 817, 4725, 16, 374, 322, 6048, 21113, 16, 334, 5076, 49085, 522, 1231, 757, 373, 5216, 17877, 5335, 334, 11965, 3250, 8833, 2675, 16, 3387, 481, 840, 31240, 6398, 10785, 30218, 428, 4000, 18, 478, 2176, 283, 6050, 5305, 29620, 549, 15849, 16, 289, 33487, 39483, 16, 3848, 1223, 16, 840, 4088, 798, 16, 367, 722, 9770, 510, 6678, 299, 670, 4073, 4684, 18, 2230, 29426, 25961, 35844, 406, 2175, 322, 840, 15707, 30218, 18, 3881, 1219, 309, 12761, 28481, 6617, 4618, 3525, 16, 374, 505, 12006, 840, 31240, 14952, 17, 296, 1822, 301, 541, 2145, 510, 745, 8070, 2048, 281, 12654, 2839, 298, 355, 374, 6922, 910, 510, 10824, 12189, 18, 10110, 17461, 32289, 43746, 3720, 2124, 1475, 291, 9299, 16, 374, 935, 827, 5211, 35392, 1133, 13436, 726, 1698, 33250, 1380, 519, 2145, 16, 745, 7006, 520, 1747, 4927, 29065, 1007, 18, 478, 16385, 475, 13436, 23964, 282, 2697, 3914, 432, 6594, 18, 1178, 46303, 26944, 4927, 16, 329, 1710, 895, 953, 48120, 519, 1658, 4500, 18, 4017, 18, 740, 753, 17877, 5335, 334, 2145, 16, 1381, 19676, 16, 519, 1851, 4947, 1513, 34298, 8711, 668, 4940, 11724, 454, 18, 3791, 417, 322, 3684, 16, 374, 329, 1129, 912, 14440, 11656, 14414, 4940, 11724, 382, 16, 961, 1698, 17924, 6149, 8137, 9832, 910, 510, 1109, 12189, 16, 30634, 16, 374, 935, 827, 13436, 10432, 33250, 1380, 519, 2145, 16, 697, 8070, 35838, 309, 424, 33626, 18, 2124, 1475, 291, 1038, 10824, 16, 2006, 6295, 281, 8187, 315, 17, 33819, 416, 26957, 30218, 1623, 20129, 541, 3623, 4433, 4551, 510, 4008, 1698, 17877, 42051, 428, 3022, 539, 17325, 5211, 35392, 680, 13436, 16, 453, 289, 1078, 448, 3193, 2145, 282, 1750, 28481, 25415, 477, 1963, 30218, 18, 478, 1140, 46359, 34664, 5384, 4947, 13863, 5211, 35392, 680, 13436, 16, 322, 1381, 17309, 16, 374, 360, 30218, 519, 3662, 18097, 1042, 334, 11165, 1223, 1293, 1581, 8482, 18, 1178, 2689, 4287, 4128, 33297, 5335, 334, 5211, 35392, 680, 25514, 10266, 4639, 16, 502, 942, 40829, 38299, 8214, 7919, 2332, 15418, 411, 17, 431, 722, 22511, 16, 289, 27443, 16, 282, 6099, 360, 11315, 16, 3257, 895, 9555, 309, 2759, 2923, 910, 510, 13744, 2124, 1475, 291, 18, 31454, 360, 49085, 522, 8582, 16, 411, 3700, 2024, 685, 42549, 4722, 8187, 451, 15553, 16, 519, 46405, 1223, 1286, 13896, 4017, 18, 439, 28531, 294, 30218, 2723, 1545, 11299, 282, 1175, 510, 43013, 451, 26616, 33879, 363, 510, 12578, 282, 1061, 5584, 4017, 360, 5211, 35392, 680, 10208, 18, 640, 4518, 4120, 726, 39700, 14777, 36412, 24252, 6897, 39661, 473, 563, 983, 13, 9085, 16, 309, 13957, 2024, 1997, 326, 3059, 8844, 276, 2145, 16, 10440, 289, 13340, 30576, 18, 21504, 7260, 16, 374, 334, 8872, 978, 28145, 840, 33004, 22833, 783, 290, 3741, 6341, 4678, 282, 4599, 49085, 522, 8582, 18, 17974, 8802, 38632, 9085, 2180, 5650, 5962, 22833, 1066, 3703, 10207, 290, 4473, 15538, 13951, 1279, 30218, 282, 1078, 309, 6576, 539, 11506, 49085, 11444, 547, 48940, 19071, 16, 367, 1011, 34290, 718, 18427, 13436, 478, 1916, 342, 2612, 17, 3940, 470, 12435, 3424, 898, 30149, 4633, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 16452, 5952, 478, 16563, 5002, 507, 470, 6370, 1367, 12696, 411, 5442, 282, 20035, 9016, 16, 16118, 5554, 22590, 364, 6213, 11471, 272, 18, 889, 322, 2615, 15585, 17416, 25182, 477, 1963, 41816, 18, 31224, 30, 1916, 368, 582, 5952, 6370, 1367, 12696, 1624, 519, 11826, 779, 5358, 1779, 349, 478, 16563, 46356, 910, 411, 5442, 9016, 282, 5214, 10208, 46792, 18, 33261, 27412, 1027, 21548, 626, 318, 450, 18, 23014, 5932, 19026, 11471, 272, 16, 309, 18464, 441, 582, 2024, 3475, 5561, 5172, 448, 19244, 18, 889, 40465, 9402, 11220, 16, 32413, 1912, 4238, 309, 4625, 30643, 10706, 282, 20035, 18, 5871, 1952, 39018, 10750, 4110, 26058, 18, 640, 5626, 942, 10672, 16, 428, 1367, 12696, 8874, 411, 1360, 4621, 289, 374, 17, 299, 2548, 27412, 1027, 16, 12497, 4028, 975, 6213, 18, 2112, 978, 492, 9378, 294, 3995, 306, 18100, 1027, 764, 1272, 4570, 289, 4686, 1561, 28523, 334, 3714, 24925, 46166, 16, 367, 971, 2714, 2582, 8607, 5133, 289, 334, 8823, 294, 14411, 18, 415, 14170, 2529, 10703, 3253, 27412, 1712, 18, 824, 722, 3163, 16, 3571, 7821, 1340, 10750, 4110, 329, 1710, 9209, 919, 39961, 21303, 3247, 289, 2208, 18458, 6339, 5430, 18, 36450, 39248, 16, 374, 329, 6556, 33718, 468, 9790, 18, 9746, 315, 27270, 26058, 322, 7820, 18, 1367, 12696, 2815, 16, 374, 18100, 1712, 28157, 3253, 16, 367, 505, 3193, 510, 1078, 309, 14895, 425, 18, 365, 5722, 1212, 13157, 726, 7650, 8348, 360, 6556, 16, 1011, 4511, 2166, 15515, 39900, 840, 10954, 1569, 3003, 334, 6619, 18, 28462, 14007, 37260, 9812, 282, 11099, 32210, 3720, 1034, 1080, 5269, 17684, 26058, 281, 12070, 1367, 809, 401, 16, 4685, 14711, 16, 374, 10919, 18001, 19983, 10390, 721, 3229, 275, 3239, 18, 967, 803, 3193, 16452, 265, 419, 492, 322, 33362, 16, 33160, 16, 374, 14806, 3941, 1279, 12706, 15596, 18, 478, 18229, 575, 16, 3708, 510, 481, 23696, 474, 18, 42369, 1676, 46760, 510, 10179, 46760, 1631, 910, 510, 2815, 492, 18, 740, 30522, 5273, 16, 374, 10924, 6556, 16, 478, 47496, 6392, 935, 44597, 7818, 910, 2391, 281, 4217, 761, 4096, 2353, 810, 18399, 319, 18, 478, 1358, 9763, 16, 374, 912, 6556, 16, 428, 417, 726, 1109, 16, 3964, 322, 6556, 18, 504, 2625, 6556, 16, 961, 282, 30822, 10347, 547, 4349, 16, 329, 703, 2174, 1320, 19832, 18, 1606, 289, 13032, 506, 1698, 309, 1315, 18, 1575, 2616, 17, 299, 11531, 638, 16, 289, 726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3818, 1793, 966, 349, 2651, 5901, 8187, 315, 17, 33819, 416, 4696, 30218, 18, 478, 730, 333, 871, 986, 555, 334, 322, 1965, 14970, 46840, 16, 367, 334, 3525, 19456, 9439, 16, 515, 827, 722, 37191, 282, 33853, 27639, 14036, 16, 502, 48120, 939, 12031, 16, 30349, 3207, 373, 18794, 519, 2923, 23990, 25045, 910, 510, 1109, 492, 18, 3557, 322, 2619, 16, 2955, 281, 24049, 21447, 16, 374, 1542, 30349, 9253, 373, 34298, 8711, 451, 13660, 519, 2145, 371, 17086, 31277, 18, 478, 4441, 16, 3848, 1223, 16, 639, 27849, 281, 7389, 8328, 13436, 16, 367, 322, 281, 15316, 4940, 11724, 761, 16, 2391, 30516, 48120, 906, 373, 6353, 4803, 910, 510, 9848, 18377, 326, 7960, 18, 817, 4725, 16, 374, 322, 6048, 21113, 16, 334, 5076, 49085, 522, 1231, 757, 373, 5216, 17877, 5335, 334, 11965, 3250, 8833, 2675, 16, 3387, 481, 840, 31240, 6398, 10785, 30218, 428, 4000, 18, 478, 2176, 283, 6050, 5305, 29620, 549, 15849, 16, 289, 33487, 39483, 16, 3848, 1223, 16, 840, 4088, 798, 16, 367, 722, 9770, 510, 6678, 299, 670, 4073, 4684, 18, 2230, 29426, 25961, 35844, 406, 2175, 322, 840, 15707, 30218, 18, 3881, 1219, 309, 12761, 28481, 6617, 4618, 3525, 16, 374, 505, 12006, 840, 31240, 14952, 17, 296, 1822, 301, 541, 2145, 510, 745, 8070, 2048, 281, 12654, 2839, 298, 355, 374, 6922, 910, 510, 10824, 12189, 18, 10110, 17461, 32289, 43746, 3720, 2124, 1475, 291, 9299, 16, 374, 935, 827, 5211, 35392, 1133, 13436, 726, 1698, 33250, 1380, 519, 2145, 16, 745, 7006, 520, 1747, 4927, 29065, 1007, 18, 478, 16385, 475, 13436, 23964, 282, 2697, 3914, 432, 6594, 18, 1178, 46303, 26944, 4927, 16, 329, 1710, 895, 953, 48120, 519, 1658, 4500, 18, 4017, 18, 740, 753, 17877, 5335, 334, 2145, 16, 1381, 19676, 16, 519, 1851, 4947, 1513, 34298, 8711, 668, 4940, 11724, 454, 18, 3791, 417, 322, 3684, 16, 374, 329, 1129, 912, 14440, 11656, 14414, 4940, 11724, 382, 16, 961, 1698, 17924, 6149, 8137, 9832, 910, 510, 1109, 12189, 16, 30634, 16, 374, 935, 827, 13436, 10432, 33250, 1380, 519, 2145, 16, 697, 8070, 35838, 309, 424, 33626, 18, 2124, 1475, 291, 1038, 10824, 16, 2006, 6295, 281, 8187, 315, 17, 33819, 416, 26957, 30218, 1623, 20129, 541, 3623, 4433, 4551, 510, 4008, 1698, 17877, 42051, 428, 3022, 539, 17325, 5211, 35392, 680, 13436, 16, 453, 289, 1078, 448, 3193, 2145, 282, 1750, 28481, 25415, 477, 1963, 30218, 18, 478, 1140, 46359, 34664, 5384, 4947, 13863, 5211, 35392, 680, 13436, 16, 322, 1381, 17309, 16, 374, 360, 30218, 519, 3662, 18097, 1042, 334, 11165, 1223, 1293, 1581, 8482, 18, 1178, 2689, 4287, 4128, 33297, 5335, 334, 5211, 35392, 680, 25514, 10266, 4639, 16, 502, 942, 40829, 38299, 8214, 7919, 2332, 15418, 411, 17, 431, 722, 22511, 16, 289, 27443, 16, 282, 6099, 360, 11315, 16, 3257, 895, 9555, 309, 2759, 2923, 910, 510, 13744, 2124, 1475, 291, 18, 31454, 360, 49085, 522, 8582, 16, 411, 3700, 2024, 685, 42549, 4722, 8187, 451, 15553, 16, 519, 46405, 1223, 1286, 13896, 4017, 18, 439, 28531, 294, 30218, 2723, 1545, 11299, 282, 1175, 510, 43013, 451, 26616, 33879, 363, 510, 12578, 282, 1061, 5584, 4017, 360, 5211, 35392, 680, 10208, 18, 640, 4518, 4120, 726, 39700, 14777, 36412, 24252, 6897, 39661, 473, 563, 983, 13, 9085, 16, 309, 13957, 2024, 1997, 326, 3059, 8844, 276, 2145, 16, 10440, 289, 13340, 30576, 18, 21504, 7260, 16, 374, 334, 8872, 978, 28145, 840, 33004, 22833, 783, 290, 3741, 6341, 4678, 282, 4599, 49085, 522, 8582, 18, 17974, 8802, 38632, 9085, 2180, 5650, 5962, 22833, 1066, 3703, 10207, 290, 4473, 15538, 13951, 1279, 30218, 282, 1078, 309, 6576, 539, 11506, 49085, 11444, 547, 48940, 19071, 16, 367, 1011, 34290, 718, 18427, 13436, 478, 1916, 342, 2612, 17, 3940, 470, 12435, 3424, 898, 30149, 4633, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 16452, 5952, 478, 16563, 5002, 507, 470, 6370, 1367, 12696, 411, 5442, 282, 20035, 9016, 16, 16118, 5554, 22590, 364, 6213, 11471, 272, 18, 889, 322, 2615, 15585, 17416, 25182, 477, 1963, 41816, 18, 31224, 30, 1916, 368, 582, 5952, 6370, 1367, 12696, 1624, 519, 11826, 779, 5358, 1779, 349, 478, 16563, 46356, 910, 411, 5442, 9016, 282, 5214, 10208, 46792, 18, 33261, 27412, 1027, 21548, 626, 318, 450, 18, 23014, 5932, 19026, 11471, 272, 16, 309, 18464, 441, 582, 2024, 3475, 5561, 5172, 448, 19244, 18, 889, 40465, 9402, 11220, 16, 32413, 1912, 4238, 309, 4625, 30643, 10706, 282, 20035, 18, 5871, 1952, 39018, 10750, 4110, 26058, 18, 640, 5626, 942, 10672, 16, 428, 1367, 12696, 8874, 411, 1360, 4621, 289, 374, 17, 299, 2548, 27412, 1027, 16, 12497, 4028, 975, 6213, 18, 2112, 978, 492, 9378, 294, 3995, 306, 18100, 1027, 764, 1272, 4570, 289, 4686, 1561, 28523, 334, 3714, 24925, 46166, 16, 367, 971, 2714, 2582, 8607, 5133, 289, 334, 8823, 294, 14411, 18, 415, 14170, 2529, 10703, 3253, 27412, 1712, 18, 824, 722, 3163, 16, 3571, 7821, 1340, 10750, 4110, 329, 1710, 9209, 919, 39961, 21303, 3247, 289, 2208, 18458, 6339, 5430, 18, 36450, 39248, 16, 374, 329, 6556, 33718, 468, 9790, 18, 9746, 315, 27270, 26058, 322, 7820, 18, 1367, 12696, 2815, 16, 374, 18100, 1712, 28157, 3253, 16, 367, 505, 3193, 510, 1078, 309, 14895, 425, 18, 365, 5722, 1212, 13157, 726, 7650, 8348, 360, 6556, 16, 1011, 4511, 2166, 15515, 39900, 840, 10954, 1569, 3003, 334, 6619, 18, 28462, 14007, 37260, 9812, 282, 11099, 32210, 3720, 1034, 1080, 5269, 17684, 26058, 281, 12070, 1367, 809, 401, 16, 4685, 14711, 16, 374, 10919, 18001, 19983, 10390, 721, 3229, 275, 3239, 18, 967, 803, 3193, 16452, 265, 419, 492, 322, 33362, 16, 33160, 16, 374, 14806, 3941, 1279, 12706, 15596, 18, 478, 18229, 575, 16, 3708, 510, 481, 23696, 474, 18, 42369, 1676, 46760, 510, 10179, 46760, 1631, 910, 510, 2815, 492, 18, 740, 30522, 5273, 16, 374, 10924, 6556, 16, 478, 47496, 6392, 935, 44597, 7818, 910, 2391, 281, 4217, 761, 4096, 2353, 810, 18399, 319, 18, 478, 1358, 9763, 16, 374, 912, 6556, 16, 428, 417, 726, 1109, 16, 3964, 322, 6556, 18, 504, 2625, 6556, 16, 961, 282, 30822, 10347, 547, 4349, 16, 329, 703, 2174, 1320, 19832, 18, 1606, 289, 13032, 506, 1698, 309, 1315, 18, 1575, 2616, 17, 299, 11531, 638, 16, 289, 726 ]
[ 1698, 664, 10909, 16, 374, 411, 5442, 910, 510, 23081, 2200, 13071, 1034, 1080, 5269, 18, 6370, 1367, 12696, 322, 2615, 445, 4362, 5120, 616, 496, 22164, 1901, 13267, 18, 21683, 4440, 779, 16452, 5952, 685, 4434, 286, 282, 22424, 4543, 19854, 6905, 8880, 18, 640, 1500, 2083, 16974, 14543, 12568, 5063, 455, 16, 374, 1011, 42164, 1367, 12696, 43412, 722, 309, 8436, 282, 4577, 18, 3026, 492, 8641, 22424, 1475, 722, 16, 367, 1011, 17306, 271, 28039, 3692, 27412, 1027, 16, 1586, 9253, 10205, 8597, 448, 3193, 41816, 18, 17057, 323, 22300, 1542, 5517, 2756, 19556, 1011, 9313, 287, 4696, 478, 32897, 4266, 910, 309, 2114, 4228, 10703, 381, 22424, 4543, 18, 2046, 322, 475, 4446, 1560, 6781, 17562, 898, 45802, 10421, 3276, 1726, 304, 5151, 28852, 18, 15556, 411, 1129, 664, 31632, 16, 374, 1367, 12696, 537, 282, 828, 322, 14658, 16, 1830, 5747, 11471, 13749, 30, 9224, 3050, 6807, 281, 34293, 8880, 906, 16, 515, 475, 11730, 334, 2618, 5133, 18, 4802, 10292, 2156, 30155, 481, 1743, 18, 824, 697, 4734, 16, 20481, 8886, 18802, 5657, 3890, 322, 639, 18, 740, 3253, 18100, 1712, 10703, 16, 374, 13391, 639, 2271, 1569, 16, 374, 6370, 1367, 12696, 22424, 1475, 722, 18, 824, 3163, 5151, 28852, 16, 1450, 7863, 3670, 16, 374, 349, 16452, 265, 419, 349, 2556, 751, 289, 322, 7863, 5292, 16064, 11969, 1743, 18, 18073, 2844, 18210, 14543, 333, 1161, 767, 310, 857, 14472, 289, 282, 1888, 12706, 16, 18581, 360, 5348, 1367, 809, 401, 18, 365, 11130, 924, 575, 779, 3436, 17, 16981, 23246, 10703, 16, 374, 16452, 5952, 39148, 21986, 722, 282, 9224, 4314, 6807, 18, 1258, 22903, 20035, 8977, 16, 374, 4960, 23540, 281, 1420, 282, 3709, 411, 4316, 291, 10208, 46792, 18, 1598, 989, 315, 8761, 275, 16, 492, 8641, 5008, 349, 21929, 1728, 7994, 289, 43412, 9016, 309, 13948, 16, 988, 20635, 3064, 3966, 24644, 289, 2780, 17221, 874, 294, 18100, 1027, 18, 14155, 428, 6723, 574, 11758, 7431, 1367, 12696, 1559, 13829, 764, 282, 5653, 1045, 18, 3529, 492, 1559, 349, 1690, 15224, 20590, 382, 282, 5214, 20035, 18, 21886, 16, 374, 11471, 4223, 411, 1728, 7994, 13443, 50021, 2095, 2406, 281, 22567, 5397, 2509, 14714, 16, 12497, 275, 5922, 2942, 2986, 18, 1483, 6282, 2508, 5289, 1749, 5408, 3637, 7859, 16452, 265, 1100, 16, 374, 492, 15056, 18, 3529, 1367, 12696, 5008, 349, 21929, 7994, 16, 48004, 6506, 4764, 16, 289, 16, 23014, 1981, 773, 3971, 16, 1559, 18428, 874, 5894, 6493, 323, 18, 8444, 8182, 1512, 282, 5939, 322, 8824, 289, 2742, 6415, 267, 1855, 18464, 441, 454, 1367, 809, 401, 22991, 18, 640, 45546, 2191, 13104, 7586, 3508, 24835, 13180, 2678, 10526, 281, 11024, 18, 817, 14839, 2200, 17297, 16, 961, 309, 2468, 478, 23189, 5220, 1166, 25851, 470, 519, 1110, 1326, 16, 1055, 322, 18552, 13143, 18, 824, 371, 4695, 29092, 50054, 1367, 12696, 21396, 281, 2223, 20590, 382, 1974, 477, 3319, 11206, 18, 365, 4440, 1045, 32124, 478, 16563, 5002, 507, 470, 34738, 10383, 933, 835, 18, 20145, 1579, 349, 23010, 33230, 837, 282, 1003, 1636, 7237, 2100, 16, 1367, 12696, 1745, 322, 36229, 309, 21600, 22200, 11011, 5554, 18, 7743, 19740, 519, 924, 16, 374, 39914, 1559, 687, 13316, 2666, 7872, 16, 282, 3198, 1660, 13132, 2913, 549, 10742, 465, 1248, 2651, 31831, 16, 282, 4542, 1754, 16452, 5952, 685, 11189, 11211, 2159, 13270, 18, 6370, 1367, 12696, 1623, 18237, 2409, 478, 16563, 5002, 507, 861, 365, 28747, 8616, 4960, 5053, 282, 5895, 1045, 289, 1833, 575, 30956, 14007, 778, 16607, 18, 2112, 32913, 2989, 2742, 1367, 12696, 7609, 764, 2511, 49648, 349, 12945, 3216, 16, 49302, 5953, 23, 7977, 289, 48253, 1421, 14378, 37571, 18, 6630, 806, 4722, 26567, 16, 8802, 11826, 779, 4960, 7777, 411, 478, 16563, 5002, 507, 910, 367, 282, 10841, 978, 779, 14900, 1196, 451, 11389, 477, 1694, 19219, 478, 822, 1285, 5499, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 43072, 451, 25783, 300, 9085, 334, 1948, 2818, 21643, 473, 24220, 48, 14882, 13, 10954, 3003, 16, 16435, 44939, 6551, 18350, 12201, 32382, 16, 10733, 3314, 282, 2343, 11826, 779, 282, 10513, 928, 1212, 19604, 546, 349, 12006, 7233, 8535, 18, 10110, 2665, 4137, 18334, 778, 2815, 16, 374, 282, 1750, 16, 827, 5343, 2027, 3213, 481, 3003, 16, 481, 840, 7834, 304, 541, 2742, 31858, 18, 365, 3507, 9474, 16506, 16, 374, 329, 25783, 455, 1003, 37208, 553, 541, 20594, 8389, 26369, 18, 31224, 30, 8215, 22026, 23899, 25783, 455, 9085, 334, 1948, 2818, 21643, 30415, 688, 21376, 30060, 2815, 16, 374, 3436, 12201, 5420, 343, 16, 39092, 9609, 349, 8597, 539, 9940, 1357, 7233, 8535, 16, 2125, 953, 478, 1555, 5805, 470, 13795, 1007, 411, 17, 1567, 30356, 16, 367, 15453, 2449, 2906, 5129, 2760, 7372, 40228, 18, 996, 291, 44462, 266, 3320, 334, 27801, 928, 2818, 41317, 552, 18, 967, 803, 11466, 1812, 16, 374, 25783, 300, 322, 5273, 17909, 20612, 360, 1175, 16161, 11969, 48157, 32382, 289, 603, 2374, 1954, 360, 30217, 3741, 1552, 18, 2970, 9472, 266, 5129, 5327, 12201, 32382, 16, 961, 898, 28384, 282, 10513, 928, 1212, 19604, 546, 13798, 11826, 779, 18, 365, 502, 808, 1272, 20216, 15490, 5856, 48689, 37379, 289, 49726, 1742, 35379, 269, 25318, 17, 5350, 933, 1333, 2665, 7451, 411, 18033, 44006, 282, 6942, 28339, 2446, 18, 1606, 9311, 282, 6159, 1924, 3128, 1175, 5179, 11007, 289, 15681, 12210, 16, 322, 20932, 4612, 309, 5693, 14250, 1051, 18747, 15314, 18, 365, 3610, 4017, 294, 27116, 360, 21734, 464, 296, 831, 10933, 14250, 1157, 1011, 8508, 24727, 6919, 587, 5038, 326, 9868, 12201, 32382, 32273, 28999, 12127, 1175, 18, 421, 2781, 382, 16, 961, 282, 4675, 808, 6535, 424, 44649, 282, 1175, 6881, 965, 31888, 13698, 18, 7250, 33179, 14769, 21770, 4529, 10261, 49461, 433, 9321, 334, 8872, 4075, 25783, 455, 16, 374, 33035, 12483, 8232, 360, 1175, 10326, 4075, 22026, 25783, 455, 334, 1948, 2818, 21643, 282, 4599, 26369, 282, 10513, 928, 1212, 19604, 546, 18, 824, 3163, 6043, 2203, 16, 6980, 8232, 360, 1175, 21791, 10326, 12044, 25783, 455, 18, 478, 4348, 7614, 339, 16, 374, 3771, 2156, 289, 282, 5305, 18558, 2027, 3213, 3574, 25783 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1698, 664, 10909, 16, 374, 411, 5442, 910, 510, 23081, 2200, 13071, 1034, 1080, 5269, 18, 6370, 1367, 12696, 322, 2615, 445, 4362, 5120, 616, 496, 22164, 1901, 13267, 18, 21683, 4440, 779, 16452, 5952, 685, 4434, 286, 282, 22424, 4543, 19854, 6905, 8880, 18, 640, 1500, 2083, 16974, 14543, 12568, 5063, 455, 16, 374, 1011, 42164, 1367, 12696, 43412, 722, 309, 8436, 282, 4577, 18, 3026, 492, 8641, 22424, 1475, 722, 16, 367, 1011, 17306, 271, 28039, 3692, 27412, 1027, 16, 1586, 9253, 10205, 8597, 448, 3193, 41816, 18, 17057, 323, 22300, 1542, 5517, 2756, 19556, 1011, 9313, 287, 4696, 478, 32897, 4266, 910, 309, 2114, 4228, 10703, 381, 22424, 4543, 18, 2046, 322, 475, 4446, 1560, 6781, 17562, 898, 45802, 10421, 3276, 1726, 304, 5151, 28852, 18, 15556, 411, 1129, 664, 31632, 16, 374, 1367, 12696, 537, 282, 828, 322, 14658, 16, 1830, 5747, 11471, 13749, 30, 9224, 3050, 6807, 281, 34293, 8880, 906, 16, 515, 475, 11730, 334, 2618, 5133, 18, 4802, 10292, 2156, 30155, 481, 1743, 18, 824, 697, 4734, 16, 20481, 8886, 18802, 5657, 3890, 322, 639, 18, 740, 3253, 18100, 1712, 10703, 16, 374, 13391, 639, 2271, 1569, 16, 374, 6370, 1367, 12696, 22424, 1475, 722, 18, 824, 3163, 5151, 28852, 16, 1450, 7863, 3670, 16, 374, 349, 16452, 265, 419, 349, 2556, 751, 289, 322, 7863, 5292, 16064, 11969, 1743, 18, 18073, 2844, 18210, 14543, 333, 1161, 767, 310, 857, 14472, 289, 282, 1888, 12706, 16, 18581, 360, 5348, 1367, 809, 401, 18, 365, 11130, 924, 575, 779, 3436, 17, 16981, 23246, 10703, 16, 374, 16452, 5952, 39148, 21986, 722, 282, 9224, 4314, 6807, 18, 1258, 22903, 20035, 8977, 16, 374, 4960, 23540, 281, 1420, 282, 3709, 411, 4316, 291, 10208, 46792, 18, 1598, 989, 315, 8761, 275, 16, 492, 8641, 5008, 349, 21929, 1728, 7994, 289, 43412, 9016, 309, 13948, 16, 988, 20635, 3064, 3966, 24644, 289, 2780, 17221, 874, 294, 18100, 1027, 18, 14155, 428, 6723, 574, 11758, 7431, 1367, 12696, 1559, 13829, 764, 282, 5653, 1045, 18, 3529, 492, 1559, 349, 1690, 15224, 20590, 382, 282, 5214, 20035, 18, 21886, 16, 374, 11471, 4223, 411, 1728, 7994, 13443, 50021, 2095, 2406, 281, 22567, 5397, 2509, 14714, 16, 12497, 275, 5922, 2942, 2986, 18, 1483, 6282, 2508, 5289, 1749, 5408, 3637, 7859, 16452, 265, 1100, 16, 374, 492, 15056, 18, 3529, 1367, 12696, 5008, 349, 21929, 7994, 16, 48004, 6506, 4764, 16, 289, 16, 23014, 1981, 773, 3971, 16, 1559, 18428, 874, 5894, 6493, 323, 18, 8444, 8182, 1512, 282, 5939, 322, 8824, 289, 2742, 6415, 267, 1855, 18464, 441, 454, 1367, 809, 401, 22991, 18, 640, 45546, 2191, 13104, 7586, 3508, 24835, 13180, 2678, 10526, 281, 11024, 18, 817, 14839, 2200, 17297, 16, 961, 309, 2468, 478, 23189, 5220, 1166, 25851, 470, 519, 1110, 1326, 16, 1055, 322, 18552, 13143, 18, 824, 371, 4695, 29092, 50054, 1367, 12696, 21396, 281, 2223, 20590, 382, 1974, 477, 3319, 11206, 18, 365, 4440, 1045, 32124, 478, 16563, 5002, 507, 470, 34738, 10383, 933, 835, 18, 20145, 1579, 349, 23010, 33230, 837, 282, 1003, 1636, 7237, 2100, 16, 1367, 12696, 1745, 322, 36229, 309, 21600, 22200, 11011, 5554, 18, 7743, 19740, 519, 924, 16, 374, 39914, 1559, 687, 13316, 2666, 7872, 16, 282, 3198, 1660, 13132, 2913, 549, 10742, 465, 1248, 2651, 31831, 16, 282, 4542, 1754, 16452, 5952, 685, 11189, 11211, 2159, 13270, 18, 6370, 1367, 12696, 1623, 18237, 2409, 478, 16563, 5002, 507, 861, 365, 28747, 8616, 4960, 5053, 282, 5895, 1045, 289, 1833, 575, 30956, 14007, 778, 16607, 18, 2112, 32913, 2989, 2742, 1367, 12696, 7609, 764, 2511, 49648, 349, 12945, 3216, 16, 49302, 5953, 23, 7977, 289, 48253, 1421, 14378, 37571, 18, 6630, 806, 4722, 26567, 16, 8802, 11826, 779, 4960, 7777, 411, 478, 16563, 5002, 507, 910, 367, 282, 10841, 978, 779, 14900, 1196, 451, 11389, 477, 1694, 19219, 478, 822, 1285, 5499, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 43072, 451, 25783, 300, 9085, 334, 1948, 2818, 21643, 473, 24220, 48, 14882, 13, 10954, 3003, 16, 16435, 44939, 6551, 18350, 12201, 32382, 16, 10733, 3314, 282, 2343, 11826, 779, 282, 10513, 928, 1212, 19604, 546, 349, 12006, 7233, 8535, 18, 10110, 2665, 4137, 18334, 778, 2815, 16, 374, 282, 1750, 16, 827, 5343, 2027, 3213, 481, 3003, 16, 481, 840, 7834, 304, 541, 2742, 31858, 18, 365, 3507, 9474, 16506, 16, 374, 329, 25783, 455, 1003, 37208, 553, 541, 20594, 8389, 26369, 18, 31224, 30, 8215, 22026, 23899, 25783, 455, 9085, 334, 1948, 2818, 21643, 30415, 688, 21376, 30060, 2815, 16, 374, 3436, 12201, 5420, 343, 16, 39092, 9609, 349, 8597, 539, 9940, 1357, 7233, 8535, 16, 2125, 953, 478, 1555, 5805, 470, 13795, 1007, 411, 17, 1567, 30356, 16, 367, 15453, 2449, 2906, 5129, 2760, 7372, 40228, 18, 996, 291, 44462, 266, 3320, 334, 27801, 928, 2818, 41317, 552, 18, 967, 803, 11466, 1812, 16, 374, 25783, 300, 322, 5273, 17909, 20612, 360, 1175, 16161, 11969, 48157, 32382, 289, 603, 2374, 1954, 360, 30217, 3741, 1552, 18, 2970, 9472, 266, 5129, 5327, 12201, 32382, 16, 961, 898, 28384, 282, 10513, 928, 1212, 19604, 546, 13798, 11826, 779, 18, 365, 502, 808, 1272, 20216, 15490, 5856, 48689, 37379, 289, 49726, 1742, 35379, 269, 25318, 17, 5350, 933, 1333, 2665, 7451, 411, 18033, 44006, 282, 6942, 28339, 2446, 18, 1606, 9311, 282, 6159, 1924, 3128, 1175, 5179, 11007, 289, 15681, 12210, 16, 322, 20932, 4612, 309, 5693, 14250, 1051, 18747, 15314, 18, 365, 3610, 4017, 294, 27116, 360, 21734, 464, 296, 831, 10933, 14250, 1157, 1011, 8508, 24727, 6919, 587, 5038, 326, 9868, 12201, 32382, 32273, 28999, 12127, 1175, 18, 421, 2781, 382, 16, 961, 282, 4675, 808, 6535, 424, 44649, 282, 1175, 6881, 965, 31888, 13698, 18, 7250, 33179, 14769, 21770, 4529, 10261, 49461, 433, 9321, 334, 8872, 4075, 25783, 455, 16, 374, 33035, 12483, 8232, 360, 1175, 10326, 4075, 22026, 25783, 455, 334, 1948, 2818, 21643, 282, 4599, 26369, 282, 10513, 928, 1212, 19604, 546, 18, 824, 3163, 6043, 2203, 16, 6980, 8232, 360, 1175, 21791, 10326, 12044, 25783, 455, 18, 478, 4348, 7614, 339, 16, 374, 3771, 2156, 289, 282, 5305, 18558, 2027, 3213, 3574, 25783 ]
[ 455, 910, 510, 16926, 49461, 433, 18, 18129, 23899, 25783, 455, 1038, 17684, 4770, 2665, 4137, 18334, 778, 18, 478, 5786, 911, 3162, 2407, 12044, 22026, 25783, 455, 9085, 381, 38032, 4073, 7069, 12201, 32382, 289, 11412, 895, 1852, 5216, 7834, 304, 477, 1963, 7179, 12457, 290, 17086, 16115, 294, 2010, 11188, 11220, 281, 23245, 18, 5333, 2175, 3771, 895, 2048, 2615, 3321, 16, 753, 4951, 11160, 1519, 9744, 289, 8940, 36645, 8733, 3860, 25150, 6279, 9945, 18, 34231, 16, 1851, 3971, 387, 43404, 282, 32094, 18, 740, 656, 939, 27797, 3338, 12032, 1642, 910, 510, 6463, 492, 282, 469, 40484, 18, 999, 731, 40139, 12201, 32382, 15320, 6363, 2227, 31740, 2815, 16, 374, 3038, 1175, 360, 13144, 4075, 7075, 16384, 455, 9085, 334, 1948, 2818, 21643, 810, 426, 1349, 25780, 3741, 13951, 18, 824, 505, 3163, 16, 1175, 840, 478, 499, 3803, 16895, 38589, 861, 478, 10150, 6526, 2405, 383, 1070, 477, 1963, 5781, 11944, 895, 9555, 16, 11271, 453, 16, 9402, 541, 17198, 289, 12318, 13223, 477, 1963, 25150, 5540, 2422, 309, 10933, 2891, 910, 510, 2815, 2227, 31740, 18, 365, 1423, 3678, 16, 282, 11896, 1175, 48484, 16, 374, 329, 25783, 455, 17415, 37208, 783, 13880, 6730, 282, 10513, 928, 1212, 19604, 546, 18, 478, 12105, 923, 622, 17239, 1237, 568, 30062, 9085, 2994, 1369, 1948, 2818, 21643, 16408, 779, 65, 541, 9959, 26369, 282, 10513, 928, 1212, 19604, 546, 3947, 798, 910, 510, 16170, 282, 27246, 18, 3791, 282, 37920, 34259, 16, 374, 5343, 29487, 3285, 2127, 2580, 8714, 282, 10130, 282, 5118, 281, 17234, 17818, 16, 3835, 9946, 26651, 490, 624, 282, 10513, 928, 1212, 19604, 546, 18, 12280, 9923, 16, 374, 4419, 16, 48131, 10570, 564, 32382, 4770, 1175, 4137, 6732, 2815, 16, 374, 3128, 19604, 342, 16, 988, 898, 28384, 42900, 16, 898, 2902, 5681, 5865, 353, 1175, 764, 519, 15557, 11007, 424, 33788, 37208, 1066, 18, 31529, 9985, 548, 16170, 16, 374, 567, 808, 30483, 17, 18665, 10706, 31858, 3703, 4238, 334, 4096, 282, 10513, 928, 1212, 19604, 546, 7727, 3508, 10419, 360, 45214, 16, 4813, 309, 5977, 4534, 5245, 20412, 18, 478, 8706, 1979, 12672, 25783, 455, 334, 1948, 2818, 21643, 16, 14001, 312, 2822, 21600, 2665, 290, 2760, 464, 11412, 289, 38032, 7917, 4559, 225, 322, 895, 23503, 43108, 536, 16, 3387, 5734, 26058, 322, 3164, 282, 37208, 553, 8389, 24807, 19401, 289, 1110, 568, 4574, 1437, 16, 309, 961, 492, 19781, 484, 910, 510, 6463, 282, 7705, 541, 478, 4433, 8667, 26942, 8624, 7920, 6897, 4551, 334, 22647, 9942, 10121, 403, 4654, 5881, 18, 29976, 755, 5692, 16, 374, 481, 1743, 1949, 2044, 510, 1175, 289, 2665, 16, 371, 803, 7727, 5678, 309, 13344, 516, 15734, 1066, 16, 785, 18946, 11517, 35436, 1140, 32273, 12127, 2107, 1963, 18, 478, 3096, 7280, 33056, 37827, 19751, 16, 3655, 5037, 4900, 39876, 1624, 11661, 16, 374, 25640, 5129, 282, 10513, 928, 778, 26872, 1655, 639, 12298, 16, 289, 334, 19983, 6619, 912, 3586, 294, 3541, 22897, 35436, 2665, 5880, 306, 28873, 6235, 910, 510, 6463, 492, 18, 365, 7337, 33293, 478, 28863, 18, 344, 470, 8942, 20682, 12672, 3018, 421, 12039, 7641, 3720, 1012, 3002, 626, 3141, 2815, 16, 374, 5343, 9728, 4927, 16, 453, 428, 34510, 411, 10251, 342, 9085, 1029, 2397, 16432, 1195, 2124, 4574, 2206, 9085, 334, 1948, 2818, 21643, 18, 3771, 12026, 2174, 3003, 16, 3387, 478, 47542, 25783, 300, 19514, 47523, 286, 13880, 3586, 349, 13952, 23899, 3018, 16, 502, 912, 32474, 282, 1101, 16, 49908, 567, 28782, 14836, 44000, 4000, 861, 365, 803, 1750, 9868, 49606, 38413, 1248, 28999, 12127, 1175, 7590, 4164, 27062, 17818, 2407, 18, 365, 2456, 14613, 1038, 15684, 3003, 478, 11827, 801, 3328, 289, 5453, 9205, 5368, 41037, 861, 1367, 803, 2815, 5037, 15757, 3463, 334, 3445, 315, 17, 1599, 2509, 7546, 371, 38921, 5854, 1207, 11007, 371, 2420, 11186, 1175, 3720, 421, 1412, 2576, 18, 365, 10936, 6080, 478, 13261, 470, 492, 4725, 16, 374, 827, 18347, 42900, 478, 418, 286, 4258, 4490, 16, 367, 322, 5034, 1157, 16, 428, 12698, 33035, 12483, 16, 502, 2124, 4574, 783, 334, 1948, 2818, 21643, 867, 1033, 322, 7590, 2712, 18022, 5998, 6684, 11412, 16, 481, 34453, 34383, 12672, 10910, 434, 3018, 861, 2, 1, 87, 1456, 81, 2448, 30, 618, 4086, 35992, 341, 401, 4369, 6915, 12853, 282, 33251, 416, 9212, 289, 18472, 11464, 1756, 282, 23376, 16130, 17, 960, 334, 10279, 1147, 5594, 1433, 16, 329, 22603, 6523, 582, 6331, 582, 403, 408, 265, 298, 18, 2112, 13006, 354, 16586, 1162, 14007, 343, 9321, 16, 374, 478, 960, 1514, 17472, 470, 322, 5304, 28998, 16329, 416, 1069, 12887, 670, 3303, 416, 42735, 282, 10264, 808, 16, 367, 1038, 24989, 16, 374, 282, 803, 11258, 1450, 32150, 6392, 17884, 411, 17, 431, 22121, 973, 50040, 26689, 18, 31224, 30, 618, 4086, 35992, 341, 401, 2498, 14851, 2159, 11464, 13270, 282, 24087, 309, 5629, 304, 5066, 1011, 851, 2009, 7561, 2422, 282, 6104, 11258, 18, 365, 23376, 16130, 17, 960, 5725, 613, 625, 1049, 5227, 636, 6992, 4141, 49266, 6331, 582, 403, 408, 265, 298, 1715, 3103, 23651, 16, 289, 481, 935, 2955, 639, 7818, 47010, 519, 9268, 7130, 18, 2261, 17, 16981, 6523, 343, 23414, 1069, 267, 2368, 282, 1421, 281, 16401, 36245, 16, 1029, 12816, 18131, 1450, 16432, 334, 22551, 8285, 18, 1397, 5327, 23565, 16, 502, 289, 334, 1498, 20330, 345, 756, 4749, 282, 803, 11258, 309, 5629, 304, 5066, 403, 408, 1592, 726, 3221, 18756, 281, 35992, 341, 1161, 18, 981, 16, 11471, 343, 1055, 322, 9858, 44036, 10664, 1330, 16, 289, 478, 1198, 3646, 388, 470, 329, 1710, 7155, 3964, 322, 1494, 16, 2686, 282, 5690, 411, 6272, 282, 23376, 16130, 17, 960, 678, 26405, 334, 7633, 28998, 1177, 16468, 8195, 510, 289, 978, 726, 5121, 2702, 18, 35992, 341, 401, 289, 371, 2181, 4357, 13006, 464, 7006, 520, 3207, 373, 7739, 18621, 281, 1574, 403, 408, 265, 932, 349, 7015, 1756, 473, 392, 37590, 898, 13344, 839, 11222, 360, 6523, 382, 934, 2686, 11471, 343, 764, 289, 3253, 4369, 17871, 14533, 2709, 10356, 16, 961, 371, 4884, 5066, 24786, 3525, 28266, 309, 6441, 18, 365, 33251, 416, 9212, 16586, 1162, 14007, 343, 7199, 478, 807, 612, 2606, 470, 567, 808, 531, 820, 347, 16329, 416, 359, 487, 321, 4668, 16329, 416, 1613, 13359, 30, 4722, 42735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 455, 910, 510, 16926, 49461, 433, 18, 18129, 23899, 25783, 455, 1038, 17684, 4770, 2665, 4137, 18334, 778, 18, 478, 5786, 911, 3162, 2407, 12044, 22026, 25783, 455, 9085, 381, 38032, 4073, 7069, 12201, 32382, 289, 11412, 895, 1852, 5216, 7834, 304, 477, 1963, 7179, 12457, 290, 17086, 16115, 294, 2010, 11188, 11220, 281, 23245, 18, 5333, 2175, 3771, 895, 2048, 2615, 3321, 16, 753, 4951, 11160, 1519, 9744, 289, 8940, 36645, 8733, 3860, 25150, 6279, 9945, 18, 34231, 16, 1851, 3971, 387, 43404, 282, 32094, 18, 740, 656, 939, 27797, 3338, 12032, 1642, 910, 510, 6463, 492, 282, 469, 40484, 18, 999, 731, 40139, 12201, 32382, 15320, 6363, 2227, 31740, 2815, 16, 374, 3038, 1175, 360, 13144, 4075, 7075, 16384, 455, 9085, 334, 1948, 2818, 21643, 810, 426, 1349, 25780, 3741, 13951, 18, 824, 505, 3163, 16, 1175, 840, 478, 499, 3803, 16895, 38589, 861, 478, 10150, 6526, 2405, 383, 1070, 477, 1963, 5781, 11944, 895, 9555, 16, 11271, 453, 16, 9402, 541, 17198, 289, 12318, 13223, 477, 1963, 25150, 5540, 2422, 309, 10933, 2891, 910, 510, 2815, 2227, 31740, 18, 365, 1423, 3678, 16, 282, 11896, 1175, 48484, 16, 374, 329, 25783, 455, 17415, 37208, 783, 13880, 6730, 282, 10513, 928, 1212, 19604, 546, 18, 478, 12105, 923, 622, 17239, 1237, 568, 30062, 9085, 2994, 1369, 1948, 2818, 21643, 16408, 779, 65, 541, 9959, 26369, 282, 10513, 928, 1212, 19604, 546, 3947, 798, 910, 510, 16170, 282, 27246, 18, 3791, 282, 37920, 34259, 16, 374, 5343, 29487, 3285, 2127, 2580, 8714, 282, 10130, 282, 5118, 281, 17234, 17818, 16, 3835, 9946, 26651, 490, 624, 282, 10513, 928, 1212, 19604, 546, 18, 12280, 9923, 16, 374, 4419, 16, 48131, 10570, 564, 32382, 4770, 1175, 4137, 6732, 2815, 16, 374, 3128, 19604, 342, 16, 988, 898, 28384, 42900, 16, 898, 2902, 5681, 5865, 353, 1175, 764, 519, 15557, 11007, 424, 33788, 37208, 1066, 18, 31529, 9985, 548, 16170, 16, 374, 567, 808, 30483, 17, 18665, 10706, 31858, 3703, 4238, 334, 4096, 282, 10513, 928, 1212, 19604, 546, 7727, 3508, 10419, 360, 45214, 16, 4813, 309, 5977, 4534, 5245, 20412, 18, 478, 8706, 1979, 12672, 25783, 455, 334, 1948, 2818, 21643, 16, 14001, 312, 2822, 21600, 2665, 290, 2760, 464, 11412, 289, 38032, 7917, 4559, 225, 322, 895, 23503, 43108, 536, 16, 3387, 5734, 26058, 322, 3164, 282, 37208, 553, 8389, 24807, 19401, 289, 1110, 568, 4574, 1437, 16, 309, 961, 492, 19781, 484, 910, 510, 6463, 282, 7705, 541, 478, 4433, 8667, 26942, 8624, 7920, 6897, 4551, 334, 22647, 9942, 10121, 403, 4654, 5881, 18, 29976, 755, 5692, 16, 374, 481, 1743, 1949, 2044, 510, 1175, 289, 2665, 16, 371, 803, 7727, 5678, 309, 13344, 516, 15734, 1066, 16, 785, 18946, 11517, 35436, 1140, 32273, 12127, 2107, 1963, 18, 478, 3096, 7280, 33056, 37827, 19751, 16, 3655, 5037, 4900, 39876, 1624, 11661, 16, 374, 25640, 5129, 282, 10513, 928, 778, 26872, 1655, 639, 12298, 16, 289, 334, 19983, 6619, 912, 3586, 294, 3541, 22897, 35436, 2665, 5880, 306, 28873, 6235, 910, 510, 6463, 492, 18, 365, 7337, 33293, 478, 28863, 18, 344, 470, 8942, 20682, 12672, 3018, 421, 12039, 7641, 3720, 1012, 3002, 626, 3141, 2815, 16, 374, 5343, 9728, 4927, 16, 453, 428, 34510, 411, 10251, 342, 9085, 1029, 2397, 16432, 1195, 2124, 4574, 2206, 9085, 334, 1948, 2818, 21643, 18, 3771, 12026, 2174, 3003, 16, 3387, 478, 47542, 25783, 300, 19514, 47523, 286, 13880, 3586, 349, 13952, 23899, 3018, 16, 502, 912, 32474, 282, 1101, 16, 49908, 567, 28782, 14836, 44000, 4000, 861, 365, 803, 1750, 9868, 49606, 38413, 1248, 28999, 12127, 1175, 7590, 4164, 27062, 17818, 2407, 18, 365, 2456, 14613, 1038, 15684, 3003, 478, 11827, 801, 3328, 289, 5453, 9205, 5368, 41037, 861, 1367, 803, 2815, 5037, 15757, 3463, 334, 3445, 315, 17, 1599, 2509, 7546, 371, 38921, 5854, 1207, 11007, 371, 2420, 11186, 1175, 3720, 421, 1412, 2576, 18, 365, 10936, 6080, 478, 13261, 470, 492, 4725, 16, 374, 827, 18347, 42900, 478, 418, 286, 4258, 4490, 16, 367, 322, 5034, 1157, 16, 428, 12698, 33035, 12483, 16, 502, 2124, 4574, 783, 334, 1948, 2818, 21643, 867, 1033, 322, 7590, 2712, 18022, 5998, 6684, 11412, 16, 481, 34453, 34383, 12672, 10910, 434, 3018, 861, 2, 1, 87, 1456, 81, 2448, 30, 618, 4086, 35992, 341, 401, 4369, 6915, 12853, 282, 33251, 416, 9212, 289, 18472, 11464, 1756, 282, 23376, 16130, 17, 960, 334, 10279, 1147, 5594, 1433, 16, 329, 22603, 6523, 582, 6331, 582, 403, 408, 265, 298, 18, 2112, 13006, 354, 16586, 1162, 14007, 343, 9321, 16, 374, 478, 960, 1514, 17472, 470, 322, 5304, 28998, 16329, 416, 1069, 12887, 670, 3303, 416, 42735, 282, 10264, 808, 16, 367, 1038, 24989, 16, 374, 282, 803, 11258, 1450, 32150, 6392, 17884, 411, 17, 431, 22121, 973, 50040, 26689, 18, 31224, 30, 618, 4086, 35992, 341, 401, 2498, 14851, 2159, 11464, 13270, 282, 24087, 309, 5629, 304, 5066, 1011, 851, 2009, 7561, 2422, 282, 6104, 11258, 18, 365, 23376, 16130, 17, 960, 5725, 613, 625, 1049, 5227, 636, 6992, 4141, 49266, 6331, 582, 403, 408, 265, 298, 1715, 3103, 23651, 16, 289, 481, 935, 2955, 639, 7818, 47010, 519, 9268, 7130, 18, 2261, 17, 16981, 6523, 343, 23414, 1069, 267, 2368, 282, 1421, 281, 16401, 36245, 16, 1029, 12816, 18131, 1450, 16432, 334, 22551, 8285, 18, 1397, 5327, 23565, 16, 502, 289, 334, 1498, 20330, 345, 756, 4749, 282, 803, 11258, 309, 5629, 304, 5066, 403, 408, 1592, 726, 3221, 18756, 281, 35992, 341, 1161, 18, 981, 16, 11471, 343, 1055, 322, 9858, 44036, 10664, 1330, 16, 289, 478, 1198, 3646, 388, 470, 329, 1710, 7155, 3964, 322, 1494, 16, 2686, 282, 5690, 411, 6272, 282, 23376, 16130, 17, 960, 678, 26405, 334, 7633, 28998, 1177, 16468, 8195, 510, 289, 978, 726, 5121, 2702, 18, 35992, 341, 401, 289, 371, 2181, 4357, 13006, 464, 7006, 520, 3207, 373, 7739, 18621, 281, 1574, 403, 408, 265, 932, 349, 7015, 1756, 473, 392, 37590, 898, 13344, 839, 11222, 360, 6523, 382, 934, 2686, 11471, 343, 764, 289, 3253, 4369, 17871, 14533, 2709, 10356, 16, 961, 371, 4884, 5066, 24786, 3525, 28266, 309, 6441, 18, 365, 33251, 416, 9212, 16586, 1162, 14007, 343, 7199, 478, 807, 612, 2606, 470, 567, 808, 531, 820, 347, 16329, 416, 359, 487, 321, 4668, 16329, 416, 1613, 13359, 30, 4722, 42735 ]
[ 329, 1710, 20975, 1223, 282, 1176, 13684, 18, 32815, 274, 23651, 309, 2567, 23286, 322, 20147, 11854, 582, 3717, 17651, 403, 408, 265, 298, 37098, 13375, 349, 12620, 18, 2112, 13006, 354, 5725, 613, 5227, 636, 6992, 4141, 25341, 1423, 42251, 22121, 1027, 4100, 1386, 1330, 411, 17, 431, 20458, 16586, 680, 14007, 382, 18, 478, 563, 418, 406, 13006, 496, 322, 939, 31635, 16, 475, 1745, 322, 2447, 11028, 33251, 668, 9318, 18, 740, 417, 12499, 16, 374, 9253, 10529, 282, 965, 1011, 11222, 289, 4759, 5466, 8195, 18, 365, 803, 11258, 784, 2826, 16859, 1717, 282, 9546, 547, 9347, 18, 3397, 417, 7542, 307, 11941, 2734, 1143, 16, 828, 3255, 16, 367, 1513, 44645, 477, 3319, 4100, 7895, 289, 537, 290, 828, 322, 5370, 18, 985, 6949, 19259, 457, 1285, 354, 918, 18128, 16, 282, 5572, 5629, 304, 11258, 2504, 360, 1315, 1329, 22469, 322, 8232, 16, 1548, 289, 8030, 17884, 18, 12725, 334, 7175, 3921, 6710, 1800, 16, 417, 906, 15175, 4068, 18, 3923, 16, 5425, 1494, 953, 4056, 16, 515, 417, 4560, 16, 374, 2900, 16, 4818, 16, 953, 322, 895, 18, 29299, 46489, 10451, 5466, 1177, 9518, 25669, 910, 510, 38563, 35992, 341, 401, 18, 365, 2343, 5462, 11471, 343, 6712, 294, 14728, 16, 374, 282, 803, 11258, 1450, 1513, 1139, 334, 4487, 38953, 20166, 502, 16, 374, 678, 13044, 16, 289, 322, 25644, 290, 41403, 13303, 9702, 360, 4729, 24886, 368, 18, 478, 630, 675, 4890, 1360, 10684, 17884, 16, 7738, 290, 970, 16, 374, 282, 24377, 9212, 7199, 475, 16, 374, 2879, 906, 18, 1397, 16, 4818, 16, 3476, 8935, 282, 970, 16, 374, 9580, 977, 11771, 351, 2449, 8634, 16, 935, 942, 2023, 33679, 299, 18, 1397, 1513, 537, 290, 828, 322, 5370, 289, 1139, 531, 5466, 2159, 510, 502, 16, 374, 417, 2879, 2048, 282, 9212, 18, 629, 1696, 371, 1514, 17472, 322, 2447, 4505, 6863, 309, 6269, 289, 2048, 16329, 416, 1069, 12887, 16, 3754, 35, 459, 3303, 416, 322, 2447, 2048, 16, 289, 5640, 10125, 3230, 965, 18, 6307, 16, 1513, 1139, 39985, 453, 16, 428, 417, 21943, 6860, 510, 7332, 1694, 11471, 382, 478, 49097, 6019, 861, 824, 25234, 16586, 680, 14007, 382, 9072, 4262, 15513, 668, 6566, 34600, 2566, 668, 19311, 5781, 30519, 2541, 282, 23376, 16130, 17, 960, 18, 27432, 281, 2801, 779, 282, 803, 19843, 26869, 414, 6836, 11304, 3595, 11471, 382, 30, 10261, 13876, 22686, 473, 275, 2801, 17, 277, 934, 18061, 31980, 473, 275, 2604, 17, 277, 289, 4145, 17, 277, 13, 289, 35996, 35992, 341, 401, 473, 275, 7847, 17, 277, 814, 4429, 269, 342, 4749, 4497, 297, 17858, 1433, 5781, 30519, 2541, 44133, 403, 408, 1592, 764, 282, 6104, 11258, 906, 309, 43283, 42558, 935, 2496, 37185, 350, 368, 30, 282, 23376, 16130, 17, 960, 678, 2756, 35962, 16, 367, 309, 12013, 2422, 510, 41386, 18, 478, 46937, 16, 5869, 5240, 28986, 20436, 282, 970, 16, 374, 329, 703, 898, 851, 2664, 282, 4101, 1272, 779, 18, 629, 38563, 1190, 16, 374, 9271, 1427, 697, 289, 1143, 8689, 15406, 322, 9357, 306, 16, 510, 9321, 14007, 343, 309, 3781, 17, 19858, 18, 510, 365, 803, 11258, 417, 322, 23277, 538, 3645, 309, 23356, 16130, 17, 960, 18, 629, 1139, 5404, 20166, 10718, 7005, 18, 608, 703, 906, 12031, 16985, 16, 453, 374, 784, 1139, 1513, 639, 21001, 722, 309, 23130, 861, 2326, 4749, 14515, 11854, 343, 28585, 457, 1285, 354, 918, 18128, 906, 4726, 31635, 2184, 16511, 30, 1450, 1715, 3405, 16, 289, 282, 4884, 7353, 14802, 282, 23376, 16130, 17, 960, 726, 942, 6532, 20673, 3924, 18, 3557, 1033, 827, 19486, 16, 374, 11471, 343, 10491, 309, 3609, 1742, 5040, 1011, 3437, 11884, 21842, 18, 478, 25855, 26545, 16, 1548, 374, 541, 965, 417, 10451, 49830, 1904, 18, 889, 7653, 3952, 1188, 4027, 496, 1175, 18, 1397, 15050, 1011, 8465, 282, 23376, 37185, 350, 680, 7756, 16130, 17, 960, 282, 4479, 1045, 35, 49262, 986, 2158, 475, 3903, 784, 8622, 16, 417, 2805, 537, 290, 828, 322, 7738, 18, 889, 906, 7969, 1805, 541, 703, 16, 289, 417, 1139, 1450, 18305, 977, 18, 2877, 575, 417, 47909, 7457, 16, 898, 13099, 276, 289, 13863, 16, 515, 417, 30112, 3952, 289, 49295, 28354, 16, 6344, 275, 16, 541, 1660, 5594, 1719, 18, 365, 8732, 7353, 4748, 322, 7866, 506, 16, 367, 9038, 9720, 360, 1810, 16, 12941, 2159, 1743, 910, 510, 39672, 5725, 613, 14943, 2230, 5461, 18, 430, 18, 44133, 403, 408, 1592, 473, 1358, 1369, 542, 13, 510, 3703, 23, 16, 2783, 491, 18, 35996, 35992, 341, 401, 473, 11825, 13, 510, 3405, 26, 16, 11629, 816, 18, 28585, 457, 1285, 354, 918, 18128, 473, 11825, 13, 510, 491, 3114, 16, 8976, 1032, 18, 1241, 1838, 33286, 395, 2649, 473, 1358, 1369, 542, 13, 510, 491, 3572, 16, 12743, 1061, 18, 36735, 2263, 314, 671, 401, 473, 11825, 13, 510, 1939, 24, 16, 7536, 1286, 18, 48172, 1972, 421, 746, 14395, 473, 1358, 1369, 542, 13, 510, 892, 16, 8914, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 10279, 434, 5594, 542, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 861, 2, 1, 87, 1456, 81, 2448, 30, 41619, 778, 4900, 19602, 26160, 3619, 1939, 5096, 2791, 360, 20437, 624, 334, 4533, 6216, 44465, 16, 14083, 5792, 18, 11333, 10902, 1314, 8008, 467, 334, 2107, 22010, 376, 1248, 23092, 26017, 8570, 22240, 43935, 15397, 473, 35755, 3127, 983, 814, 28616, 4437, 10531, 16, 374, 282, 1750, 15258, 718, 8709, 2764, 5019, 12978, 26160, 16, 753, 8945, 13951, 18, 31224, 30, 47776, 1175, 41999, 15258, 2818, 4900, 6838, 454, 1939, 5096, 2791, 282, 12500, 18, 1367, 803, 3110, 9063, 478, 45382, 861, 967, 803, 5854, 20437, 624, 334, 4533, 6216, 44465, 473, 439, 563, 677, 6778, 11661, 22447, 4900, 6838, 454, 4076, 282, 9802, 2287, 16, 23, 5096, 2791, 309, 1760, 986, 541, 19040, 6170, 8262, 19240, 16, 1032, 16, 17133, 5096, 309, 1760, 986, 541, 11897, 3131, 10414, 289, 1032, 16, 21, 5096, 309, 1286, 986, 541, 26209, 45958, 617, 18, 4530, 867, 35067, 2430, 9473, 360, 1574, 19631, 18103, 553, 764, 282, 7847, 1045, 18, 640, 18506, 11553, 22010, 16936, 6802, 6712, 18103, 783, 1248, 23092, 26017, 8570, 43935, 15397, 473, 35755, 983, 563, 814, 385, 2334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 329, 1710, 20975, 1223, 282, 1176, 13684, 18, 32815, 274, 23651, 309, 2567, 23286, 322, 20147, 11854, 582, 3717, 17651, 403, 408, 265, 298, 37098, 13375, 349, 12620, 18, 2112, 13006, 354, 5725, 613, 5227, 636, 6992, 4141, 25341, 1423, 42251, 22121, 1027, 4100, 1386, 1330, 411, 17, 431, 20458, 16586, 680, 14007, 382, 18, 478, 563, 418, 406, 13006, 496, 322, 939, 31635, 16, 475, 1745, 322, 2447, 11028, 33251, 668, 9318, 18, 740, 417, 12499, 16, 374, 9253, 10529, 282, 965, 1011, 11222, 289, 4759, 5466, 8195, 18, 365, 803, 11258, 784, 2826, 16859, 1717, 282, 9546, 547, 9347, 18, 3397, 417, 7542, 307, 11941, 2734, 1143, 16, 828, 3255, 16, 367, 1513, 44645, 477, 3319, 4100, 7895, 289, 537, 290, 828, 322, 5370, 18, 985, 6949, 19259, 457, 1285, 354, 918, 18128, 16, 282, 5572, 5629, 304, 11258, 2504, 360, 1315, 1329, 22469, 322, 8232, 16, 1548, 289, 8030, 17884, 18, 12725, 334, 7175, 3921, 6710, 1800, 16, 417, 906, 15175, 4068, 18, 3923, 16, 5425, 1494, 953, 4056, 16, 515, 417, 4560, 16, 374, 2900, 16, 4818, 16, 953, 322, 895, 18, 29299, 46489, 10451, 5466, 1177, 9518, 25669, 910, 510, 38563, 35992, 341, 401, 18, 365, 2343, 5462, 11471, 343, 6712, 294, 14728, 16, 374, 282, 803, 11258, 1450, 1513, 1139, 334, 4487, 38953, 20166, 502, 16, 374, 678, 13044, 16, 289, 322, 25644, 290, 41403, 13303, 9702, 360, 4729, 24886, 368, 18, 478, 630, 675, 4890, 1360, 10684, 17884, 16, 7738, 290, 970, 16, 374, 282, 24377, 9212, 7199, 475, 16, 374, 2879, 906, 18, 1397, 16, 4818, 16, 3476, 8935, 282, 970, 16, 374, 9580, 977, 11771, 351, 2449, 8634, 16, 935, 942, 2023, 33679, 299, 18, 1397, 1513, 537, 290, 828, 322, 5370, 289, 1139, 531, 5466, 2159, 510, 502, 16, 374, 417, 2879, 2048, 282, 9212, 18, 629, 1696, 371, 1514, 17472, 322, 2447, 4505, 6863, 309, 6269, 289, 2048, 16329, 416, 1069, 12887, 16, 3754, 35, 459, 3303, 416, 322, 2447, 2048, 16, 289, 5640, 10125, 3230, 965, 18, 6307, 16, 1513, 1139, 39985, 453, 16, 428, 417, 21943, 6860, 510, 7332, 1694, 11471, 382, 478, 49097, 6019, 861, 824, 25234, 16586, 680, 14007, 382, 9072, 4262, 15513, 668, 6566, 34600, 2566, 668, 19311, 5781, 30519, 2541, 282, 23376, 16130, 17, 960, 18, 27432, 281, 2801, 779, 282, 803, 19843, 26869, 414, 6836, 11304, 3595, 11471, 382, 30, 10261, 13876, 22686, 473, 275, 2801, 17, 277, 934, 18061, 31980, 473, 275, 2604, 17, 277, 289, 4145, 17, 277, 13, 289, 35996, 35992, 341, 401, 473, 275, 7847, 17, 277, 814, 4429, 269, 342, 4749, 4497, 297, 17858, 1433, 5781, 30519, 2541, 44133, 403, 408, 1592, 764, 282, 6104, 11258, 906, 309, 43283, 42558, 935, 2496, 37185, 350, 368, 30, 282, 23376, 16130, 17, 960, 678, 2756, 35962, 16, 367, 309, 12013, 2422, 510, 41386, 18, 478, 46937, 16, 5869, 5240, 28986, 20436, 282, 970, 16, 374, 329, 703, 898, 851, 2664, 282, 4101, 1272, 779, 18, 629, 38563, 1190, 16, 374, 9271, 1427, 697, 289, 1143, 8689, 15406, 322, 9357, 306, 16, 510, 9321, 14007, 343, 309, 3781, 17, 19858, 18, 510, 365, 803, 11258, 417, 322, 23277, 538, 3645, 309, 23356, 16130, 17, 960, 18, 629, 1139, 5404, 20166, 10718, 7005, 18, 608, 703, 906, 12031, 16985, 16, 453, 374, 784, 1139, 1513, 639, 21001, 722, 309, 23130, 861, 2326, 4749, 14515, 11854, 343, 28585, 457, 1285, 354, 918, 18128, 906, 4726, 31635, 2184, 16511, 30, 1450, 1715, 3405, 16, 289, 282, 4884, 7353, 14802, 282, 23376, 16130, 17, 960, 726, 942, 6532, 20673, 3924, 18, 3557, 1033, 827, 19486, 16, 374, 11471, 343, 10491, 309, 3609, 1742, 5040, 1011, 3437, 11884, 21842, 18, 478, 25855, 26545, 16, 1548, 374, 541, 965, 417, 10451, 49830, 1904, 18, 889, 7653, 3952, 1188, 4027, 496, 1175, 18, 1397, 15050, 1011, 8465, 282, 23376, 37185, 350, 680, 7756, 16130, 17, 960, 282, 4479, 1045, 35, 49262, 986, 2158, 475, 3903, 784, 8622, 16, 417, 2805, 537, 290, 828, 322, 7738, 18, 889, 906, 7969, 1805, 541, 703, 16, 289, 417, 1139, 1450, 18305, 977, 18, 2877, 575, 417, 47909, 7457, 16, 898, 13099, 276, 289, 13863, 16, 515, 417, 30112, 3952, 289, 49295, 28354, 16, 6344, 275, 16, 541, 1660, 5594, 1719, 18, 365, 8732, 7353, 4748, 322, 7866, 506, 16, 367, 9038, 9720, 360, 1810, 16, 12941, 2159, 1743, 910, 510, 39672, 5725, 613, 14943, 2230, 5461, 18, 430, 18, 44133, 403, 408, 1592, 473, 1358, 1369, 542, 13, 510, 3703, 23, 16, 2783, 491, 18, 35996, 35992, 341, 401, 473, 11825, 13, 510, 3405, 26, 16, 11629, 816, 18, 28585, 457, 1285, 354, 918, 18128, 473, 11825, 13, 510, 491, 3114, 16, 8976, 1032, 18, 1241, 1838, 33286, 395, 2649, 473, 1358, 1369, 542, 13, 510, 491, 3572, 16, 12743, 1061, 18, 36735, 2263, 314, 671, 401, 473, 11825, 13, 510, 1939, 24, 16, 7536, 1286, 18, 48172, 1972, 421, 746, 14395, 473, 1358, 1369, 542, 13, 510, 892, 16, 8914, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 10279, 434, 5594, 542, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 861, 2, 1, 87, 1456, 81, 2448, 30, 41619, 778, 4900, 19602, 26160, 3619, 1939, 5096, 2791, 360, 20437, 624, 334, 4533, 6216, 44465, 16, 14083, 5792, 18, 11333, 10902, 1314, 8008, 467, 334, 2107, 22010, 376, 1248, 23092, 26017, 8570, 22240, 43935, 15397, 473, 35755, 3127, 983, 814, 28616, 4437, 10531, 16, 374, 282, 1750, 15258, 718, 8709, 2764, 5019, 12978, 26160, 16, 753, 8945, 13951, 18, 31224, 30, 47776, 1175, 41999, 15258, 2818, 4900, 6838, 454, 1939, 5096, 2791, 282, 12500, 18, 1367, 803, 3110, 9063, 478, 45382, 861, 967, 803, 5854, 20437, 624, 334, 4533, 6216, 44465, 473, 439, 563, 677, 6778, 11661, 22447, 4900, 6838, 454, 4076, 282, 9802, 2287, 16, 23, 5096, 2791, 309, 1760, 986, 541, 19040, 6170, 8262, 19240, 16, 1032, 16, 17133, 5096, 309, 1760, 986, 541, 11897, 3131, 10414, 289, 1032, 16, 21, 5096, 309, 1286, 986, 541, 26209, 45958, 617, 18, 4530, 867, 35067, 2430, 9473, 360, 1574, 19631, 18103, 553, 764, 282, 7847, 1045, 18, 640, 18506, 11553, 22010, 16936, 6802, 6712, 18103, 783, 1248, 23092, 26017, 8570, 43935, 15397, 473, 35755, 983, 563, 814, 385, 2334 ]
[ 783, 749, 23563, 439, 563, 677, 840, 9124, 1920, 8396, 309, 2706, 17, 3161, 9, 16219, 289, 5285, 759, 2678, 8739, 9427, 31892, 29480, 3416, 8709, 681, 17, 17186, 8943, 16, 4437, 9529, 19516, 14753, 4676, 19631, 18103, 553, 18, 824, 42394, 22010, 18103, 553, 19080, 4590, 937, 27594, 439, 563, 677, 16, 367, 1011, 23925, 282, 3941, 4090, 5738, 22996, 755, 2564, 14426, 4442, 990, 2764, 309, 23172, 1070, 6802, 18, 385, 11237, 4090, 27143, 20452, 18103, 783, 6802, 478, 24775, 718, 18698, 861, 365, 4810, 16, 18103, 783, 1248, 46633, 983, 563, 906, 17239, 8140, 371, 4176, 763, 6802, 478, 35755, 10429, 1232, 910, 478, 672, 620, 267, 29909, 24634, 470, 1624, 478, 983, 375, 24634, 861, 967, 803, 281, 4900, 6838, 635, 16, 290, 18103, 553, 2024, 282, 35067, 40542, 19645, 282, 11872, 7847, 779, 16, 19080, 17463, 22518, 25541, 18, 4852, 46633, 983, 563, 16, 282, 4810, 16, 4053, 1154, 18103, 783, 478, 27481, 1232, 470, 289, 1888, 6802, 478, 24775, 718, 18698, 861, 415, 36665, 31905, 6937, 282, 15258, 1212, 20172, 19080, 3828, 282, 11872, 7847, 779, 18, 478, 11227, 8434, 3416, 8709, 289, 11897, 505, 15861, 38652, 282, 3106, 29936, 26322, 840, 4292, 1235, 5452, 375, 19602, 1624, 1029, 8034, 282, 9404, 439, 983, 478, 11825, 910, 384, 33060, 1655, 282, 19080, 25714, 1787, 8274, 16218, 617, 3416, 519, 10376, 41754, 344, 38947, 2252, 549, 20664, 334, 24889, 4900, 6838, 635, 861, 967, 803, 16, 428, 5542, 9529, 1655, 282, 19080, 16, 4498, 1717, 290, 478, 23994, 1015, 304, 23172, 2431, 470, 8709, 281, 19526, 27143, 38081, 19631, 18103, 553, 18, 4922, 20117, 14782, 4079, 552, 27845, 1097, 12764, 1585, 3317, 289, 4193, 8709, 294, 18103, 6520, 18, 985, 4437, 9529, 14697, 16, 17812, 1791, 4900, 24634, 12679, 7341, 6779, 12367, 446, 451, 32849, 8709, 16, 12184, 376, 22898, 5040, 19040, 505, 8220, 7895, 18, 4900, 19602, 8034, 282, 14859, 672, 17, 27154, 14795, 5781, 6802, 18, 608, 8709, 2364, 3417, 41636, 334, 1175, 18, 365, 2875, 16146, 432, 19565, 3416, 8709, 510, 3938, 46741, 5003, 1700, 16, 16495, 289, 7572, 31002, 14952, 16, 5003, 1700, 16002, 289, 11141, 7321, 18, 5585, 6773, 8709, 309, 430, 4160, 19967, 13323, 16, 26, 5096, 1671, 18, 15376, 9425, 25447, 19510, 8709, 651, 2287, 16, 29, 5096, 1671, 2211, 27594, 651, 1061, 5096, 1671, 18, 985, 2438, 3665, 5548, 16, 4900, 19602, 13903, 5960, 874, 2671, 11328, 773, 8822, 8594, 5281, 1440, 1902, 33544, 289, 30705, 39, 1950, 16, 14927, 274, 1634, 8138, 309, 33788, 11422, 478, 24735, 861, 478, 563, 2418, 4160, 8822, 16, 334, 3279, 322, 4460, 798, 27381, 16, 322, 5960, 3236, 910, 510, 33420, 5854, 8709, 18, 365, 5003, 547, 39263, 40530, 16, 374, 1011, 20961, 42995, 933, 13951, 282, 2801, 1045, 25207, 8594, 6343, 2926, 19104, 5960, 874, 8822, 9163, 5781, 6802, 18, 967, 803, 31626, 6841, 16, 374, 870, 8822, 28716, 487, 3624, 334, 3025, 4008, 16, 367, 8822, 478, 24735, 470, 2458, 4399, 16948, 27914, 1902, 33544, 289, 30705, 39, 1950, 16, 45922, 282, 20172, 18, 17246, 4261, 919, 4900, 24634, 1721, 19864, 918, 281, 43991, 478, 27481, 2722, 910, 504, 7484, 17, 19602, 16, 670, 36446, 983, 16, 961, 2161, 307, 13656, 281, 11237, 23061, 26017, 8570, 43935, 15397, 16, 289, 4076, 309, 8156, 4900, 24634, 8166, 11534, 3440, 16, 2548, 41330, 478, 1182, 884, 277, 470, 6096, 3138, 286, 512, 18, 478, 8706, 1186, 3419, 290, 5003, 547, 39263, 16, 2486, 44184, 282, 14613, 289, 322, 687, 2291, 895, 8662, 424, 26513, 12435, 16, 515, 289, 518, 16, 1085, 8671, 281, 1498, 4452, 7065, 16, 6841, 1788, 8662, 424, 453, 22168, 478, 275, 1917, 2497, 470, 12435, 910, 376, 10050, 12189, 18, 17645, 553, 334, 5657, 3707, 4900, 6838, 454, 26349, 45958, 617, 7117, 322, 36732, 460, 17305, 289, 16, 7260, 16, 11506, 697, 334, 11553, 22010, 282, 1851, 17, 299, 3538, 5186, 4262, 23050, 29175, 622, 16, 23751, 3138, 286, 512, 18, 985, 41988, 29846, 6357, 12189, 416, 3463, 1902, 42362, 12507, 34216, 778, 1624, 19080, 289, 439, 563, 677, 4247, 20629, 38883, 360, 13951, 16, 2391, 745, 5658, 505, 3836, 541, 36582, 4076, 22758, 16, 374, 3147, 34302, 18, 478, 4670, 21459, 2900, 27143, 294, 49098, 16, 1276, 31504, 309, 34417, 2923, 2553, 16, 20846, 16, 1696, 541, 978, 289, 1650, 2195, 46633, 983, 563, 18, 4900, 19602, 575, 8170, 309, 21525, 6457, 16, 289, 518, 20232, 917, 14758, 16, 961, 898, 3255, 371, 4759, 1748, 10414, 1248, 439, 563, 677, 16, 1122, 1715, 5285, 4633, 910, 376, 2548, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 16226, 1279, 1360, 10969, 12026, 3455, 282, 8511, 315, 17, 7779, 412, 5855, 8296, 478, 6781, 675, 420, 1421, 5196, 22564, 510, 1881, 20933, 282, 9239, 861, 439, 475, 411, 17, 431, 11047, 346, 45052, 6507, 10435, 16, 1029, 322, 687, 31211, 364, 28092, 282, 11147, 16, 515, 289, 5568, 381, 30664, 8889, 4290, 700, 16, 367, 1038, 33063, 43687, 11315, 18, 5043, 16, 281, 12793, 4238, 27211, 28847, 9496, 289, 14828, 309, 4789, 2127, 9482, 1175, 18, 31224, 30, 27717, 810, 11528, 2508, 20657, 44157, 1340, 18584, 4364, 30, 42094, 8889, 19775, 4167, 3818, 15072, 282, 11147, 281, 2742, 779, 510, 2900, 322, 639, 935, 282, 35025, 22564, 5, 478, 3743, 6334, 6321, 4096, 322, 687, 282, 803, 18, 10942, 282, 2343, 3990, 1966, 22910, 627, 282, 3507, 687, 1543, 467, 31, 282, 11099, 309, 430, 16, 25, 699, 282, 8729, 18, 740, 294, 35047, 42852, 20255, 3304, 9406, 652, 756, 18814, 1833, 309, 1488, 699, 18, 24397, 309, 10095, 17996, 262, 9527, 20755, 22160, 507, 282, 2343, 3990, 322, 42416, 537, 7633, 349, 2651, 5901, 17996, 30836, 891, 4271, 510, 42538, 282, 5214, 478, 1182, 348, 397, 861, 8071, 8334, 8889, 4290, 347, 11534, 14482, 3457, 20696, 282, 3580, 18, 996, 16, 334, 3761, 21501, 478, 29464, 11764, 18, 46249, 7900, 564, 910, 411, 17, 431, 26312, 432, 47412, 8468, 282, 9937, 16, 4518, 3990, 16, 898, 9650, 1007, 5270, 289, 28384, 3103, 38618, 282, 3437, 25350, 30422, 2662, 18, 365, 4810, 16, 282, 18248, 6437, 49330, 615, 23035, 326, 1176, 24422, 289, 764, 1272, 18137, 18, 365, 44410, 48695, 2852, 38618, 10570, 315, 16, 367, 2846, 510, 9650, 1569, 18, 2949, 924, 16, 282, 18248, 41199, 8666, 9650, 286, 1176, 24422, 18, 35992 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 783, 749, 23563, 439, 563, 677, 840, 9124, 1920, 8396, 309, 2706, 17, 3161, 9, 16219, 289, 5285, 759, 2678, 8739, 9427, 31892, 29480, 3416, 8709, 681, 17, 17186, 8943, 16, 4437, 9529, 19516, 14753, 4676, 19631, 18103, 553, 18, 824, 42394, 22010, 18103, 553, 19080, 4590, 937, 27594, 439, 563, 677, 16, 367, 1011, 23925, 282, 3941, 4090, 5738, 22996, 755, 2564, 14426, 4442, 990, 2764, 309, 23172, 1070, 6802, 18, 385, 11237, 4090, 27143, 20452, 18103, 783, 6802, 478, 24775, 718, 18698, 861, 365, 4810, 16, 18103, 783, 1248, 46633, 983, 563, 906, 17239, 8140, 371, 4176, 763, 6802, 478, 35755, 10429, 1232, 910, 478, 672, 620, 267, 29909, 24634, 470, 1624, 478, 983, 375, 24634, 861, 967, 803, 281, 4900, 6838, 635, 16, 290, 18103, 553, 2024, 282, 35067, 40542, 19645, 282, 11872, 7847, 779, 16, 19080, 17463, 22518, 25541, 18, 4852, 46633, 983, 563, 16, 282, 4810, 16, 4053, 1154, 18103, 783, 478, 27481, 1232, 470, 289, 1888, 6802, 478, 24775, 718, 18698, 861, 415, 36665, 31905, 6937, 282, 15258, 1212, 20172, 19080, 3828, 282, 11872, 7847, 779, 18, 478, 11227, 8434, 3416, 8709, 289, 11897, 505, 15861, 38652, 282, 3106, 29936, 26322, 840, 4292, 1235, 5452, 375, 19602, 1624, 1029, 8034, 282, 9404, 439, 983, 478, 11825, 910, 384, 33060, 1655, 282, 19080, 25714, 1787, 8274, 16218, 617, 3416, 519, 10376, 41754, 344, 38947, 2252, 549, 20664, 334, 24889, 4900, 6838, 635, 861, 967, 803, 16, 428, 5542, 9529, 1655, 282, 19080, 16, 4498, 1717, 290, 478, 23994, 1015, 304, 23172, 2431, 470, 8709, 281, 19526, 27143, 38081, 19631, 18103, 553, 18, 4922, 20117, 14782, 4079, 552, 27845, 1097, 12764, 1585, 3317, 289, 4193, 8709, 294, 18103, 6520, 18, 985, 4437, 9529, 14697, 16, 17812, 1791, 4900, 24634, 12679, 7341, 6779, 12367, 446, 451, 32849, 8709, 16, 12184, 376, 22898, 5040, 19040, 505, 8220, 7895, 18, 4900, 19602, 8034, 282, 14859, 672, 17, 27154, 14795, 5781, 6802, 18, 608, 8709, 2364, 3417, 41636, 334, 1175, 18, 365, 2875, 16146, 432, 19565, 3416, 8709, 510, 3938, 46741, 5003, 1700, 16, 16495, 289, 7572, 31002, 14952, 16, 5003, 1700, 16002, 289, 11141, 7321, 18, 5585, 6773, 8709, 309, 430, 4160, 19967, 13323, 16, 26, 5096, 1671, 18, 15376, 9425, 25447, 19510, 8709, 651, 2287, 16, 29, 5096, 1671, 2211, 27594, 651, 1061, 5096, 1671, 18, 985, 2438, 3665, 5548, 16, 4900, 19602, 13903, 5960, 874, 2671, 11328, 773, 8822, 8594, 5281, 1440, 1902, 33544, 289, 30705, 39, 1950, 16, 14927, 274, 1634, 8138, 309, 33788, 11422, 478, 24735, 861, 478, 563, 2418, 4160, 8822, 16, 334, 3279, 322, 4460, 798, 27381, 16, 322, 5960, 3236, 910, 510, 33420, 5854, 8709, 18, 365, 5003, 547, 39263, 40530, 16, 374, 1011, 20961, 42995, 933, 13951, 282, 2801, 1045, 25207, 8594, 6343, 2926, 19104, 5960, 874, 8822, 9163, 5781, 6802, 18, 967, 803, 31626, 6841, 16, 374, 870, 8822, 28716, 487, 3624, 334, 3025, 4008, 16, 367, 8822, 478, 24735, 470, 2458, 4399, 16948, 27914, 1902, 33544, 289, 30705, 39, 1950, 16, 45922, 282, 20172, 18, 17246, 4261, 919, 4900, 24634, 1721, 19864, 918, 281, 43991, 478, 27481, 2722, 910, 504, 7484, 17, 19602, 16, 670, 36446, 983, 16, 961, 2161, 307, 13656, 281, 11237, 23061, 26017, 8570, 43935, 15397, 16, 289, 4076, 309, 8156, 4900, 24634, 8166, 11534, 3440, 16, 2548, 41330, 478, 1182, 884, 277, 470, 6096, 3138, 286, 512, 18, 478, 8706, 1186, 3419, 290, 5003, 547, 39263, 16, 2486, 44184, 282, 14613, 289, 322, 687, 2291, 895, 8662, 424, 26513, 12435, 16, 515, 289, 518, 16, 1085, 8671, 281, 1498, 4452, 7065, 16, 6841, 1788, 8662, 424, 453, 22168, 478, 275, 1917, 2497, 470, 12435, 910, 376, 10050, 12189, 18, 17645, 553, 334, 5657, 3707, 4900, 6838, 454, 26349, 45958, 617, 7117, 322, 36732, 460, 17305, 289, 16, 7260, 16, 11506, 697, 334, 11553, 22010, 282, 1851, 17, 299, 3538, 5186, 4262, 23050, 29175, 622, 16, 23751, 3138, 286, 512, 18, 985, 41988, 29846, 6357, 12189, 416, 3463, 1902, 42362, 12507, 34216, 778, 1624, 19080, 289, 439, 563, 677, 4247, 20629, 38883, 360, 13951, 16, 2391, 745, 5658, 505, 3836, 541, 36582, 4076, 22758, 16, 374, 3147, 34302, 18, 478, 4670, 21459, 2900, 27143, 294, 49098, 16, 1276, 31504, 309, 34417, 2923, 2553, 16, 20846, 16, 1696, 541, 978, 289, 1650, 2195, 46633, 983, 563, 18, 4900, 19602, 575, 8170, 309, 21525, 6457, 16, 289, 518, 20232, 917, 14758, 16, 961, 898, 3255, 371, 4759, 1748, 10414, 1248, 439, 563, 677, 16, 1122, 1715, 5285, 4633, 910, 376, 2548, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 16226, 1279, 1360, 10969, 12026, 3455, 282, 8511, 315, 17, 7779, 412, 5855, 8296, 478, 6781, 675, 420, 1421, 5196, 22564, 510, 1881, 20933, 282, 9239, 861, 439, 475, 411, 17, 431, 11047, 346, 45052, 6507, 10435, 16, 1029, 322, 687, 31211, 364, 28092, 282, 11147, 16, 515, 289, 5568, 381, 30664, 8889, 4290, 700, 16, 367, 1038, 33063, 43687, 11315, 18, 5043, 16, 281, 12793, 4238, 27211, 28847, 9496, 289, 14828, 309, 4789, 2127, 9482, 1175, 18, 31224, 30, 27717, 810, 11528, 2508, 20657, 44157, 1340, 18584, 4364, 30, 42094, 8889, 19775, 4167, 3818, 15072, 282, 11147, 281, 2742, 779, 510, 2900, 322, 639, 935, 282, 35025, 22564, 5, 478, 3743, 6334, 6321, 4096, 322, 687, 282, 803, 18, 10942, 282, 2343, 3990, 1966, 22910, 627, 282, 3507, 687, 1543, 467, 31, 282, 11099, 309, 430, 16, 25, 699, 282, 8729, 18, 740, 294, 35047, 42852, 20255, 3304, 9406, 652, 756, 18814, 1833, 309, 1488, 699, 18, 24397, 309, 10095, 17996, 262, 9527, 20755, 22160, 507, 282, 2343, 3990, 322, 42416, 537, 7633, 349, 2651, 5901, 17996, 30836, 891, 4271, 510, 42538, 282, 5214, 478, 1182, 348, 397, 861, 8071, 8334, 8889, 4290, 347, 11534, 14482, 3457, 20696, 282, 3580, 18, 996, 16, 334, 3761, 21501, 478, 29464, 11764, 18, 46249, 7900, 564, 910, 411, 17, 431, 26312, 432, 47412, 8468, 282, 9937, 16, 4518, 3990, 16, 898, 9650, 1007, 5270, 289, 28384, 3103, 38618, 282, 3437, 25350, 30422, 2662, 18, 365, 4810, 16, 282, 18248, 6437, 49330, 615, 23035, 326, 1176, 24422, 289, 764, 1272, 18137, 18, 365, 44410, 48695, 2852, 38618, 10570, 315, 16, 367, 2846, 510, 9650, 1569, 18, 2949, 924, 16, 282, 18248, 41199, 8666, 9650, 286, 1176, 24422, 18, 35992 ]
[ 1067, 5768, 3512, 282, 9937, 5413, 14231, 3103, 23651, 16, 2567, 19965, 322, 639, 726, 1272, 5196, 18, 365, 41305, 3320, 21454, 4202, 473, 3127, 630, 14376, 13, 45505, 16, 374, 5922, 282, 3580, 11524, 22166, 411, 17, 431, 774, 303, 1383, 873, 18, 10609, 382, 2382, 12744, 322, 687, 16907, 536, 26015, 13305, 16, 2805, 309, 17521, 24258, 473, 1567, 10045, 1408, 289, 3036, 6784, 309, 705, 11594, 289, 13338, 3174, 5706, 934, 515, 289, 867, 16, 374, 48458, 5119, 18069, 1867, 5520, 449, 1225, 9534, 16, 2391, 6110, 15027, 3953, 9654, 5554, 451, 1783, 6534, 18, 365, 1312, 630, 14376, 4864, 3457, 290, 970, 16, 374, 13495, 7309, 2353, 953, 1033, 1649, 15981, 309, 22908, 16, 19162, 36347, 16, 367, 867, 16, 1085, 726, 5354, 478, 6781, 348, 2318, 470, 4099, 3675, 1126, 888, 309, 986, 3675, 16, 1882, 10230, 40183, 37401, 18, 20346, 16, 4039, 3990, 16, 8249, 639, 11524, 22166, 5922, 334, 39676, 47595, 10208, 510, 37061, 18, 5057, 3030, 1336, 282, 12165, 13189, 850, 5279, 519, 4335, 13289, 4995, 16, 309, 5595, 6181, 3304, 5937, 6683, 266, 18, 2949, 924, 16, 309, 1293, 3139, 906, 44422, 8140, 1372, 21221, 10190, 9642, 5520, 18, 1598, 17, 431, 3443, 5581, 9310, 1536, 14829, 289, 27534, 291, 11315, 16, 961, 5575, 414, 2418, 308, 19, 267, 16, 309, 15021, 668, 10177, 36155, 11122, 18, 365, 3198, 2364, 5259, 11462, 14322, 898, 14629, 16783, 309, 23364, 2654, 334, 13871, 7223, 16, 4729, 8008, 7768, 3711, 3036, 3058, 309, 4713, 281, 3195, 13652, 1783, 3899, 18, 2263, 334, 1190, 8889, 19775, 322, 453, 799, 1235, 16, 428, 505, 23053, 281, 15072, 21706, 16, 24549, 10033, 4275, 412, 3847, 18, 5161, 16, 282, 9937, 16, 4518, 3990, 16, 19988, 12592, 1803, 303, 540, 542, 349, 5284, 16, 935, 282, 35025, 2299, 12412, 322, 10585, 484, 3230, 284, 2446, 16, 371, 803, 7872, 11315, 14481, 519, 1760, 308, 19, 267, 18, 365, 2567, 4190, 1759, 1543, 1399, 486, 16, 1586, 46820, 282, 4101, 4701, 16, 6601, 13815, 289, 9307, 774, 303, 1383, 613, 18, 7914, 16675, 395, 2172, 7790, 953, 9823, 4850, 758, 30, 334, 13460, 3761, 16, 282, 30326, 4701, 2364, 7593, 1135, 19299, 411, 17, 431, 774, 303, 1383, 873, 16, 374, 16, 334, 7475, 478, 1098, 686, 2503, 910, 1623, 11529, 3663, 349, 5017, 2508, 2852, 986, 18, 14541, 432, 15841, 360, 15352, 14190, 309, 2083, 13453, 37989, 322, 48273, 18, 608, 8610, 468, 11315, 510, 481, 6441, 31382, 309, 4789, 2127, 9482, 1175, 12504, 434, 7097, 411, 24246, 3847, 16, 32039, 282, 5214, 478, 1182, 348, 397, 11593, 478, 3001, 22778, 309, 5423, 2127, 3077, 16028, 334, 41827, 950, 13167, 434, 18457, 15969, 281, 14714, 282, 32511, 274, 22313, 16, 289, 282, 27817, 9467, 13049, 9382, 15584, 5211, 451, 6469, 18, 365, 16109, 2870, 322, 5505, 16179, 3806, 11972, 2221, 18, 889, 36441, 18457, 15969, 289, 3806, 11972, 15969, 289, 27513, 2582, 6978, 282, 1175, 861, 478, 10269, 334, 1190, 6978, 510, 481, 14639, 2837, 5922, 7097, 16, 1727, 9626, 411, 1767, 16907, 434, 13223, 282, 6391, 12998, 23392, 16, 510, 16170, 8876, 5500, 18, 510, 5661, 1143, 11950, 3465, 3673, 16, 867, 6978, 7081, 18, 20346, 282, 48584, 1919, 16, 282, 35469, 30755, 4316, 3606, 394, 47236, 519, 1409, 6862, 16, 25, 6322, 941, 266, 18, 422, 2211, 1715, 309, 1939, 6322, 4803, 14471, 18, 365, 502, 575, 808, 16, 3057, 16, 282, 45896, 745, 19799, 309, 1533, 6322, 3230, 16811, 30, 1409, 8042, 16, 25, 6322, 18, 2787, 912, 10343, 1262, 13223, 898, 282, 5270, 445, 1143, 1713, 2198, 16, 374, 289, 19344, 24006, 6353, 4783, 506, 861, 365, 9937, 289, 11946, 3085, 9496, 2495, 987, 525, 289, 31025, 17395, 18, 1178, 47431, 481, 8776, 10562, 16, 502, 453, 840, 309, 3025, 2923, 360, 23127, 519, 42077, 718, 5420, 18, 1397, 5327, 13535, 16, 502, 4289, 31800, 5963, 281, 2742, 21294, 726, 898, 10750, 6025, 4016, 289, 4055, 3852, 354, 16, 289, 912, 14113, 14394, 16, 374, 1177, 15513, 840, 1271, 341, 282, 3765, 309, 11946, 16, 2555, 3990, 18, 22687, 818, 382, 24102, 27282, 1698, 3524, 14817, 519, 651, 3572, 5448, 563, 18, 25740, 282, 11946, 29865, 360, 25788, 519, 651, 24, 5448, 563, 16, 8192, 8889, 16, 25753, 1322, 388, 18, 2, 1, 87, 1456, 81, 2448, 30, 13762, 331, 37103, 2581, 454, 282, 15173, 25511, 30, 12117, 5874, 16, 37963, 309, 4505, 16, 4896, 15173, 16, 5759, 10597, 18, 640, 15579, 92, 349, 35052, 42097, 9095, 4843, 21, 16, 7536, 18, 27304, 1328, 3206, 305, 309, 8011, 16115, 727, 25948, 2145, 16409, 2153, 3094, 14137, 13354, 18, 2046, 6591, 21426, 322, 840, 38943, 16, 3387, 3860, 46509, 2899, 10387, 322, 17640, 16, 4266, 14697, 18, 31224, 30, 563, 402, 2325, 288, 546, 11465, 5874, 7307, 17754, 353, 478, 409, 1425, 470, 309, 16866, 23616, 23143, 473, 8223, 563, 13, 421, 29731, 983, 37543, 309, 19670, 32906, 289, 5575, 15173, 16, 5759, 10597, 18, 967, 803, 282, 4542, 4281, 4775, 549, 49558, 5575, 455, 33242, 282, 15173, 16, 3161, 10597, 18, 6765, 2325, 288, 546, 11465, 5874, 16442, 17754, 353, 478, 25940, 470, 309, 602, 15132, 421, 29731, 983, 8211, 309, 1533, 32906, 289, 12076, 2555, 16, 15118, 10597, 18, 5333, 2175, 16, 316, 6310, 467, 549, 1040, 12469, 27375, 455, 309, 3695, 49355, 454, 16, 519, 6603, 16, 10821, 10597, 1279, 6603, 16, 8081, 10597, 10552, 18, 31610, 5552, 31413, 7307, 289, 17325, 16442, 23030, 1482, 3991, 18183, 7307, 309, 5814, 15579, 92, 10552, 16, 1011, 13516, 20286, 17906, 416, 2926, 473, 1182, 25948, 13, 2145, 30, 281, 4079, 2808, 7307, 19, 19317, 27773, 31109, 484, 329, 32023, 430, 16, 23, 3161, 27, 1279, 430, 16, 23, 6475, 24, 334, 8872, 19163, 4281, 18, 1895, 40624, 755, 5962, 3003, 290, 38352, 16125, 309, 11529, 6473, 48430, 5066, 282, 2239, 384, 20, 16, 4691, 9, 282, 3178, 27006, 1612, 18, 478, 46383, 783, 16, 1341, 3626, 1011, 13516, 1149, 25833, 39, 473, 7530, 4396, 334, 16980, 2658, 1876, 13, 282, 11872, 16, 16405, 309, 502, 16, 374, 38185, 15974, 7234, 289, 7043, 5197, 24668, 751, 282, 4101, 18116, 18, 5351, 23906, 6582, 49054, 6330, 7083, 3236, 16, 1830, 745, 334, 17, 6093, 11573, 3236, 7773, 28916, 3409, 16, 3826, 3250, 18183, 15706, 16, 23274, 32687, 48035, 4186, 289, 4307, 3570, 25237, 34818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1067, 5768, 3512, 282, 9937, 5413, 14231, 3103, 23651, 16, 2567, 19965, 322, 639, 726, 1272, 5196, 18, 365, 41305, 3320, 21454, 4202, 473, 3127, 630, 14376, 13, 45505, 16, 374, 5922, 282, 3580, 11524, 22166, 411, 17, 431, 774, 303, 1383, 873, 18, 10609, 382, 2382, 12744, 322, 687, 16907, 536, 26015, 13305, 16, 2805, 309, 17521, 24258, 473, 1567, 10045, 1408, 289, 3036, 6784, 309, 705, 11594, 289, 13338, 3174, 5706, 934, 515, 289, 867, 16, 374, 48458, 5119, 18069, 1867, 5520, 449, 1225, 9534, 16, 2391, 6110, 15027, 3953, 9654, 5554, 451, 1783, 6534, 18, 365, 1312, 630, 14376, 4864, 3457, 290, 970, 16, 374, 13495, 7309, 2353, 953, 1033, 1649, 15981, 309, 22908, 16, 19162, 36347, 16, 367, 867, 16, 1085, 726, 5354, 478, 6781, 348, 2318, 470, 4099, 3675, 1126, 888, 309, 986, 3675, 16, 1882, 10230, 40183, 37401, 18, 20346, 16, 4039, 3990, 16, 8249, 639, 11524, 22166, 5922, 334, 39676, 47595, 10208, 510, 37061, 18, 5057, 3030, 1336, 282, 12165, 13189, 850, 5279, 519, 4335, 13289, 4995, 16, 309, 5595, 6181, 3304, 5937, 6683, 266, 18, 2949, 924, 16, 309, 1293, 3139, 906, 44422, 8140, 1372, 21221, 10190, 9642, 5520, 18, 1598, 17, 431, 3443, 5581, 9310, 1536, 14829, 289, 27534, 291, 11315, 16, 961, 5575, 414, 2418, 308, 19, 267, 16, 309, 15021, 668, 10177, 36155, 11122, 18, 365, 3198, 2364, 5259, 11462, 14322, 898, 14629, 16783, 309, 23364, 2654, 334, 13871, 7223, 16, 4729, 8008, 7768, 3711, 3036, 3058, 309, 4713, 281, 3195, 13652, 1783, 3899, 18, 2263, 334, 1190, 8889, 19775, 322, 453, 799, 1235, 16, 428, 505, 23053, 281, 15072, 21706, 16, 24549, 10033, 4275, 412, 3847, 18, 5161, 16, 282, 9937, 16, 4518, 3990, 16, 19988, 12592, 1803, 303, 540, 542, 349, 5284, 16, 935, 282, 35025, 2299, 12412, 322, 10585, 484, 3230, 284, 2446, 16, 371, 803, 7872, 11315, 14481, 519, 1760, 308, 19, 267, 18, 365, 2567, 4190, 1759, 1543, 1399, 486, 16, 1586, 46820, 282, 4101, 4701, 16, 6601, 13815, 289, 9307, 774, 303, 1383, 613, 18, 7914, 16675, 395, 2172, 7790, 953, 9823, 4850, 758, 30, 334, 13460, 3761, 16, 282, 30326, 4701, 2364, 7593, 1135, 19299, 411, 17, 431, 774, 303, 1383, 873, 16, 374, 16, 334, 7475, 478, 1098, 686, 2503, 910, 1623, 11529, 3663, 349, 5017, 2508, 2852, 986, 18, 14541, 432, 15841, 360, 15352, 14190, 309, 2083, 13453, 37989, 322, 48273, 18, 608, 8610, 468, 11315, 510, 481, 6441, 31382, 309, 4789, 2127, 9482, 1175, 12504, 434, 7097, 411, 24246, 3847, 16, 32039, 282, 5214, 478, 1182, 348, 397, 11593, 478, 3001, 22778, 309, 5423, 2127, 3077, 16028, 334, 41827, 950, 13167, 434, 18457, 15969, 281, 14714, 282, 32511, 274, 22313, 16, 289, 282, 27817, 9467, 13049, 9382, 15584, 5211, 451, 6469, 18, 365, 16109, 2870, 322, 5505, 16179, 3806, 11972, 2221, 18, 889, 36441, 18457, 15969, 289, 3806, 11972, 15969, 289, 27513, 2582, 6978, 282, 1175, 861, 478, 10269, 334, 1190, 6978, 510, 481, 14639, 2837, 5922, 7097, 16, 1727, 9626, 411, 1767, 16907, 434, 13223, 282, 6391, 12998, 23392, 16, 510, 16170, 8876, 5500, 18, 510, 5661, 1143, 11950, 3465, 3673, 16, 867, 6978, 7081, 18, 20346, 282, 48584, 1919, 16, 282, 35469, 30755, 4316, 3606, 394, 47236, 519, 1409, 6862, 16, 25, 6322, 941, 266, 18, 422, 2211, 1715, 309, 1939, 6322, 4803, 14471, 18, 365, 502, 575, 808, 16, 3057, 16, 282, 45896, 745, 19799, 309, 1533, 6322, 3230, 16811, 30, 1409, 8042, 16, 25, 6322, 18, 2787, 912, 10343, 1262, 13223, 898, 282, 5270, 445, 1143, 1713, 2198, 16, 374, 289, 19344, 24006, 6353, 4783, 506, 861, 365, 9937, 289, 11946, 3085, 9496, 2495, 987, 525, 289, 31025, 17395, 18, 1178, 47431, 481, 8776, 10562, 16, 502, 453, 840, 309, 3025, 2923, 360, 23127, 519, 42077, 718, 5420, 18, 1397, 5327, 13535, 16, 502, 4289, 31800, 5963, 281, 2742, 21294, 726, 898, 10750, 6025, 4016, 289, 4055, 3852, 354, 16, 289, 912, 14113, 14394, 16, 374, 1177, 15513, 840, 1271, 341, 282, 3765, 309, 11946, 16, 2555, 3990, 18, 22687, 818, 382, 24102, 27282, 1698, 3524, 14817, 519, 651, 3572, 5448, 563, 18, 25740, 282, 11946, 29865, 360, 25788, 519, 651, 24, 5448, 563, 16, 8192, 8889, 16, 25753, 1322, 388, 18, 2, 1, 87, 1456, 81, 2448, 30, 13762, 331, 37103, 2581, 454, 282, 15173, 25511, 30, 12117, 5874, 16, 37963, 309, 4505, 16, 4896, 15173, 16, 5759, 10597, 18, 640, 15579, 92, 349, 35052, 42097, 9095, 4843, 21, 16, 7536, 18, 27304, 1328, 3206, 305, 309, 8011, 16115, 727, 25948, 2145, 16409, 2153, 3094, 14137, 13354, 18, 2046, 6591, 21426, 322, 840, 38943, 16, 3387, 3860, 46509, 2899, 10387, 322, 17640, 16, 4266, 14697, 18, 31224, 30, 563, 402, 2325, 288, 546, 11465, 5874, 7307, 17754, 353, 478, 409, 1425, 470, 309, 16866, 23616, 23143, 473, 8223, 563, 13, 421, 29731, 983, 37543, 309, 19670, 32906, 289, 5575, 15173, 16, 5759, 10597, 18, 967, 803, 282, 4542, 4281, 4775, 549, 49558, 5575, 455, 33242, 282, 15173, 16, 3161, 10597, 18, 6765, 2325, 288, 546, 11465, 5874, 16442, 17754, 353, 478, 25940, 470, 309, 602, 15132, 421, 29731, 983, 8211, 309, 1533, 32906, 289, 12076, 2555, 16, 15118, 10597, 18, 5333, 2175, 16, 316, 6310, 467, 549, 1040, 12469, 27375, 455, 309, 3695, 49355, 454, 16, 519, 6603, 16, 10821, 10597, 1279, 6603, 16, 8081, 10597, 10552, 18, 31610, 5552, 31413, 7307, 289, 17325, 16442, 23030, 1482, 3991, 18183, 7307, 309, 5814, 15579, 92, 10552, 16, 1011, 13516, 20286, 17906, 416, 2926, 473, 1182, 25948, 13, 2145, 30, 281, 4079, 2808, 7307, 19, 19317, 27773, 31109, 484, 329, 32023, 430, 16, 23, 3161, 27, 1279, 430, 16, 23, 6475, 24, 334, 8872, 19163, 4281, 18, 1895, 40624, 755, 5962, 3003, 290, 38352, 16125, 309, 11529, 6473, 48430, 5066, 282, 2239, 384, 20, 16, 4691, 9, 282, 3178, 27006, 1612, 18, 478, 46383, 783, 16, 1341, 3626, 1011, 13516, 1149, 25833, 39, 473, 7530, 4396, 334, 16980, 2658, 1876, 13, 282, 11872, 16, 16405, 309, 502, 16, 374, 38185, 15974, 7234, 289, 7043, 5197, 24668, 751, 282, 4101, 18116, 18, 5351, 23906, 6582, 49054, 6330, 7083, 3236, 16, 1830, 745, 334, 17, 6093, 11573, 3236, 7773, 28916, 3409, 16, 3826, 3250, 18183, 15706, 16, 23274, 32687, 48035, 4186, 289, 4307, 3570, 25237, 34818 ]
[ 910, 510, 5130, 282, 9907, 7920, 18, 10418, 291, 10606, 22996, 755, 289, 15467, 29251, 16, 1586, 3164, 1293, 4803, 1110, 25082, 16, 961, 1149, 25833, 39, 5273, 14254, 758, 541, 2898, 1161, 28674, 18, 996, 16, 5906, 14314, 727, 25948, 8581, 8394, 309, 6591, 17401, 933, 2898, 309, 5066, 430, 16, 27, 384, 22, 7418, 3888, 510, 309, 430, 16, 25, 7418, 1655, 428, 3170, 1742, 24610, 17401, 778, 2898, 16, 3744, 3559, 879, 22996, 2610, 16, 8211, 282, 11872, 519, 2239, 16, 29, 7418, 374, 27268, 14065, 379, 2206, 18, 1787, 26209, 12318, 15974, 727, 25948, 32033, 449, 375, 2074, 1519, 3674, 16, 20881, 360, 41073, 46462, 975, 25447, 19510, 18, 2949, 924, 16, 22996, 755, 2259, 22617, 289, 12356, 17868, 3094, 3205, 17, 50070, 416, 6569, 541, 26209, 12318, 15974, 18, 478, 1358, 1499, 16, 374, 727, 25948, 3419, 294, 4313, 3326, 10695, 3707, 5003, 315, 17, 47155, 4422, 6569, 16, 289, 978, 2702, 541, 49320, 33353, 2477, 16, 753, 6622, 11447, 5170, 360, 4662, 910, 510, 15875, 38341, 15294, 20921, 419, 907, 14592, 52, 18196, 18026, 2776, 269, 18, 478, 6161, 26541, 478, 10336, 448, 17868, 470, 282, 2100, 13902, 289, 289, 1007, 16, 502, 3989, 42057, 8204, 323, 2756, 4789, 1162, 16, 4686, 7990, 1712, 309, 1561, 4267, 3043, 4840, 9759, 4103, 1385, 19510, 16, 367, 971, 10938, 8782, 25474, 1712, 7005, 13516, 727, 25948, 910, 510, 10050, 41330, 18930, 10625, 8430, 25964, 4218, 401, 18, 20346, 7599, 31299, 16, 38835, 289, 37360, 16, 2412, 1733, 5487, 1421, 2223, 282, 2875, 3322, 1791, 432, 2044, 46509, 2899, 281, 4947, 4611, 7143, 434, 41177, 16, 8103, 45631, 1715, 1658, 5096, 7307, 18, 3727, 28165, 7307, 289, 9807, 18, 478, 40050, 7556, 30943, 282, 46509, 4681, 16, 42096, 20858, 10263, 16, 24278, 440, 4646, 6946, 10808, 35994, 289, 2184, 7556, 16182, 309, 4096, 281, 2132, 4887, 8204, 910, 510, 18590, 31333, 41330, 1149, 92, 26112, 3720, 13356, 377, 36357, 18, 5043, 16, 31413, 7307, 840, 26472, 31437, 16, 6881, 14697, 18, 478, 677, 10264, 808, 4775, 549, 49558, 475, 17, 2767, 14828, 294, 2581, 582, 430, 16, 8914, 289, 334, 8823, 294, 1671, 623, 1038, 8782, 844, 305, 1293, 2158, 910, 510, 2548, 7996, 6660, 12517, 309, 49320, 26476, 8308, 512, 1491, 8112, 9810, 727, 269, 2347, 18, 478, 684, 707, 807, 542, 10597, 294, 7307, 322, 3929, 4080, 17, 299, 11289, 536, 7834, 304, 541, 11854, 16, 2391, 1003, 9084, 10790, 282, 7544, 1157, 289, 22473, 2710, 17, 3697, 6053, 18, 889, 1717, 31965, 23833, 16, 367, 46418, 4202, 10597, 294, 14340, 4250, 306, 2675, 35950, 41456, 318, 371, 47468, 309, 11460, 282, 4843, 6695, 384, 5737, 349, 26650, 16, 34464, 5132, 726, 29130, 808, 910, 510, 38721, 7996, 3594, 6153, 5613, 459, 35755, 478, 21383, 578, 470, 6070, 3138, 4295, 273, 18, 385, 4079, 36440, 778, 47405, 1477, 267, 309, 2689, 2127, 1234, 38493, 27375, 300, 519, 4843, 8564, 16, 5759, 349, 26650, 1011, 17325, 309, 430, 16, 26, 9, 567, 12241, 18, 12758, 526, 3068, 341, 18869, 7216, 2849, 34388, 31450, 16, 374, 8581, 2712, 8275, 309, 478, 21399, 12535, 470, 31413, 10597, 16, 12016, 41330, 46944, 397, 17, 24634, 9409, 39516, 401, 18, 2949, 924, 16, 6591, 7307, 1698, 11011, 3860, 282, 46509, 913, 18, 478, 6161, 14044, 334, 4388, 617, 49857, 16, 502, 3860, 282, 41827, 1502, 432, 7338, 5538, 4609, 3236, 41754, 2661, 428, 764, 1033, 14440, 16, 828, 13557, 910, 510, 48922, 13356, 377, 36357, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 2665, 8973, 35053, 2931, 6455, 8055, 309, 33788, 26314, 478, 983, 1792, 788, 6945, 14161, 470, 289, 14919, 48049, 281, 29320, 2389, 26113, 17, 313, 14462, 1559, 34131, 47737, 16, 367, 1038, 12343, 282, 14039, 289, 26333, 282, 10933, 16886, 18, 824, 505, 4734, 16, 481, 840, 478, 264, 6852, 342, 6945, 1078, 861, 31224, 30, 31971, 3082, 7796, 1552, 2665, 8973, 35053, 2931, 6455, 4751, 478, 264, 6852, 342, 6945, 20203, 1078, 470, 309, 33788, 5943, 668, 26314, 478, 983, 1792, 788, 6945, 14161, 861, 1367, 803, 492, 6463, 282, 3177, 469, 40484, 16, 29546, 309, 3059, 2236, 411, 9983, 16, 5923, 727, 4742, 18, 478, 618, 895, 1381, 47819, 334, 38540, 2665, 322, 281, 29320, 2389, 12343, 349, 8362, 16, 1754, 1143, 1003, 16, 367, 281, 29320, 2389, 12343, 349, 13012, 309, 14039, 16, 281, 29320, 2389, 26495, 973, 749, 5245, 1122, 575, 289, 282, 14613, 16, 281, 29320, 2389, 14386, 11504, 289, 6903, 41268, 282, 6899, 3462, 2407, 12201, 2954, 5433, 510, 6463, 17656, 4944, 6001, 523, 18, 817, 1038, 2815, 16, 374, 21982, 478, 983, 1792, 788, 6945, 14161, 470, 40088, 1812, 282, 11379, 16, 282, 17062, 42629, 309, 2764, 5439, 4433, 4551, 18, 35053, 2931, 282, 1078, 309, 481, 2815, 16, 374, 3118, 15349, 12961, 18, 478, 8407, 748, 549, 7865, 18, 42419, 6863, 309, 7626, 1038, 281, 29320, 2389, 26113, 16, 18722, 7069, 567, 6477, 1559, 34131, 47737, 18, 889, 840, 22842, 6945, 1078, 541, 5863, 548, 9756, 282, 1203, 1212, 289, 45206, 9465, 4912, 910, 510, 2815, 20203, 8099, 18, 37969, 478, 983, 1792, 788, 6945, 14161, 910, 32763, 13438, 294, 17200, 1433, 23308, 17, 23745, 14977, 16, 8192, 1658, 3598, 282, 1033, 828, 22651, 7338, 289, 6957, 10705, 289, 22587, 29183, 334, 4547, 8290, 16, 8977, 12117, 5854, 7179, 32975, 346, 11413, 8909, 21106, 401, 18, 478, 630, 675, 4065, 16, 374, 282, 803, 1045, 1573, 2370, 349, 17784, 7391, 487, 764, 31685, 20057, 18, 824, 5833, 3538, 16, 656, 7967, 334, 867, 12522, 277, 16, 961, 28408, 282, 10933, 29823, 392, 283, 30784, 18, 16394, 6367, 334, 7413, 281, 26557, 12260, 49174, 910, 510, 16926, 678, 18, 11896, 2407, 29569, 16, 374, 282, 8296, 282, 5329, 17618, 10263, 1747, 12570, 322, 687, 19753, 21969, 16, 515, 289, 9985, 548, 16, 7190, 29823, 392, 283, 2778, 891, 16, 10786, 14429, 16, 48024, 16, 367, 1038, 7190, 3806, 28320, 21456, 7257, 16, 2323, 21106, 401, 18, 824, 3163, 19683, 14840, 11413, 16, 26459, 5073, 475, 16, 753, 2891, 2044, 16, 282, 1639, 18222, 870, 6169, 3595, 17581, 16, 322, 9075, 5561, 16, 367, 16, 6891, 16, 12939, 3637, 697, 28705, 18, 1787, 5743, 478, 983, 1792, 788, 9305, 10881, 470, 282, 7583, 11147, 1658, 3598, 7896, 45882, 1817, 17421, 16, 3110, 3781, 17, 9952, 16986, 3320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 510, 5130, 282, 9907, 7920, 18, 10418, 291, 10606, 22996, 755, 289, 15467, 29251, 16, 1586, 3164, 1293, 4803, 1110, 25082, 16, 961, 1149, 25833, 39, 5273, 14254, 758, 541, 2898, 1161, 28674, 18, 996, 16, 5906, 14314, 727, 25948, 8581, 8394, 309, 6591, 17401, 933, 2898, 309, 5066, 430, 16, 27, 384, 22, 7418, 3888, 510, 309, 430, 16, 25, 7418, 1655, 428, 3170, 1742, 24610, 17401, 778, 2898, 16, 3744, 3559, 879, 22996, 2610, 16, 8211, 282, 11872, 519, 2239, 16, 29, 7418, 374, 27268, 14065, 379, 2206, 18, 1787, 26209, 12318, 15974, 727, 25948, 32033, 449, 375, 2074, 1519, 3674, 16, 20881, 360, 41073, 46462, 975, 25447, 19510, 18, 2949, 924, 16, 22996, 755, 2259, 22617, 289, 12356, 17868, 3094, 3205, 17, 50070, 416, 6569, 541, 26209, 12318, 15974, 18, 478, 1358, 1499, 16, 374, 727, 25948, 3419, 294, 4313, 3326, 10695, 3707, 5003, 315, 17, 47155, 4422, 6569, 16, 289, 978, 2702, 541, 49320, 33353, 2477, 16, 753, 6622, 11447, 5170, 360, 4662, 910, 510, 15875, 38341, 15294, 20921, 419, 907, 14592, 52, 18196, 18026, 2776, 269, 18, 478, 6161, 26541, 478, 10336, 448, 17868, 470, 282, 2100, 13902, 289, 289, 1007, 16, 502, 3989, 42057, 8204, 323, 2756, 4789, 1162, 16, 4686, 7990, 1712, 309, 1561, 4267, 3043, 4840, 9759, 4103, 1385, 19510, 16, 367, 971, 10938, 8782, 25474, 1712, 7005, 13516, 727, 25948, 910, 510, 10050, 41330, 18930, 10625, 8430, 25964, 4218, 401, 18, 20346, 7599, 31299, 16, 38835, 289, 37360, 16, 2412, 1733, 5487, 1421, 2223, 282, 2875, 3322, 1791, 432, 2044, 46509, 2899, 281, 4947, 4611, 7143, 434, 41177, 16, 8103, 45631, 1715, 1658, 5096, 7307, 18, 3727, 28165, 7307, 289, 9807, 18, 478, 40050, 7556, 30943, 282, 46509, 4681, 16, 42096, 20858, 10263, 16, 24278, 440, 4646, 6946, 10808, 35994, 289, 2184, 7556, 16182, 309, 4096, 281, 2132, 4887, 8204, 910, 510, 18590, 31333, 41330, 1149, 92, 26112, 3720, 13356, 377, 36357, 18, 5043, 16, 31413, 7307, 840, 26472, 31437, 16, 6881, 14697, 18, 478, 677, 10264, 808, 4775, 549, 49558, 475, 17, 2767, 14828, 294, 2581, 582, 430, 16, 8914, 289, 334, 8823, 294, 1671, 623, 1038, 8782, 844, 305, 1293, 2158, 910, 510, 2548, 7996, 6660, 12517, 309, 49320, 26476, 8308, 512, 1491, 8112, 9810, 727, 269, 2347, 18, 478, 684, 707, 807, 542, 10597, 294, 7307, 322, 3929, 4080, 17, 299, 11289, 536, 7834, 304, 541, 11854, 16, 2391, 1003, 9084, 10790, 282, 7544, 1157, 289, 22473, 2710, 17, 3697, 6053, 18, 889, 1717, 31965, 23833, 16, 367, 46418, 4202, 10597, 294, 14340, 4250, 306, 2675, 35950, 41456, 318, 371, 47468, 309, 11460, 282, 4843, 6695, 384, 5737, 349, 26650, 16, 34464, 5132, 726, 29130, 808, 910, 510, 38721, 7996, 3594, 6153, 5613, 459, 35755, 478, 21383, 578, 470, 6070, 3138, 4295, 273, 18, 385, 4079, 36440, 778, 47405, 1477, 267, 309, 2689, 2127, 1234, 38493, 27375, 300, 519, 4843, 8564, 16, 5759, 349, 26650, 1011, 17325, 309, 430, 16, 26, 9, 567, 12241, 18, 12758, 526, 3068, 341, 18869, 7216, 2849, 34388, 31450, 16, 374, 8581, 2712, 8275, 309, 478, 21399, 12535, 470, 31413, 10597, 16, 12016, 41330, 46944, 397, 17, 24634, 9409, 39516, 401, 18, 2949, 924, 16, 6591, 7307, 1698, 11011, 3860, 282, 46509, 913, 18, 478, 6161, 14044, 334, 4388, 617, 49857, 16, 502, 3860, 282, 41827, 1502, 432, 7338, 5538, 4609, 3236, 41754, 2661, 428, 764, 1033, 14440, 16, 828, 13557, 910, 510, 48922, 13356, 377, 36357, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 2665, 8973, 35053, 2931, 6455, 8055, 309, 33788, 26314, 478, 983, 1792, 788, 6945, 14161, 470, 289, 14919, 48049, 281, 29320, 2389, 26113, 17, 313, 14462, 1559, 34131, 47737, 16, 367, 1038, 12343, 282, 14039, 289, 26333, 282, 10933, 16886, 18, 824, 505, 4734, 16, 481, 840, 478, 264, 6852, 342, 6945, 1078, 861, 31224, 30, 31971, 3082, 7796, 1552, 2665, 8973, 35053, 2931, 6455, 4751, 478, 264, 6852, 342, 6945, 20203, 1078, 470, 309, 33788, 5943, 668, 26314, 478, 983, 1792, 788, 6945, 14161, 861, 1367, 803, 492, 6463, 282, 3177, 469, 40484, 16, 29546, 309, 3059, 2236, 411, 9983, 16, 5923, 727, 4742, 18, 478, 618, 895, 1381, 47819, 334, 38540, 2665, 322, 281, 29320, 2389, 12343, 349, 8362, 16, 1754, 1143, 1003, 16, 367, 281, 29320, 2389, 12343, 349, 13012, 309, 14039, 16, 281, 29320, 2389, 26495, 973, 749, 5245, 1122, 575, 289, 282, 14613, 16, 281, 29320, 2389, 14386, 11504, 289, 6903, 41268, 282, 6899, 3462, 2407, 12201, 2954, 5433, 510, 6463, 17656, 4944, 6001, 523, 18, 817, 1038, 2815, 16, 374, 21982, 478, 983, 1792, 788, 6945, 14161, 470, 40088, 1812, 282, 11379, 16, 282, 17062, 42629, 309, 2764, 5439, 4433, 4551, 18, 35053, 2931, 282, 1078, 309, 481, 2815, 16, 374, 3118, 15349, 12961, 18, 478, 8407, 748, 549, 7865, 18, 42419, 6863, 309, 7626, 1038, 281, 29320, 2389, 26113, 16, 18722, 7069, 567, 6477, 1559, 34131, 47737, 18, 889, 840, 22842, 6945, 1078, 541, 5863, 548, 9756, 282, 1203, 1212, 289, 45206, 9465, 4912, 910, 510, 2815, 20203, 8099, 18, 37969, 478, 983, 1792, 788, 6945, 14161, 910, 32763, 13438, 294, 17200, 1433, 23308, 17, 23745, 14977, 16, 8192, 1658, 3598, 282, 1033, 828, 22651, 7338, 289, 6957, 10705, 289, 22587, 29183, 334, 4547, 8290, 16, 8977, 12117, 5854, 7179, 32975, 346, 11413, 8909, 21106, 401, 18, 478, 630, 675, 4065, 16, 374, 282, 803, 1045, 1573, 2370, 349, 17784, 7391, 487, 764, 31685, 20057, 18, 824, 5833, 3538, 16, 656, 7967, 334, 867, 12522, 277, 16, 961, 28408, 282, 10933, 29823, 392, 283, 30784, 18, 16394, 6367, 334, 7413, 281, 26557, 12260, 49174, 910, 510, 16926, 678, 18, 11896, 2407, 29569, 16, 374, 282, 8296, 282, 5329, 17618, 10263, 1747, 12570, 322, 687, 19753, 21969, 16, 515, 289, 9985, 548, 16, 7190, 29823, 392, 283, 2778, 891, 16, 10786, 14429, 16, 48024, 16, 367, 1038, 7190, 3806, 28320, 21456, 7257, 16, 2323, 21106, 401, 18, 824, 3163, 19683, 14840, 11413, 16, 26459, 5073, 475, 16, 753, 2891, 2044, 16, 282, 1639, 18222, 870, 6169, 3595, 17581, 16, 322, 9075, 5561, 16, 367, 16, 6891, 16, 12939, 3637, 697, 28705, 18, 1787, 5743, 478, 983, 1792, 788, 9305, 10881, 470, 282, 7583, 11147, 1658, 3598, 7896, 45882, 1817, 17421, 16, 3110, 3781, 17, 9952, 16986, 3320 ]
[ 21454, 4202, 473, 3127, 630, 14376, 814, 478, 29, 3598, 281, 22502, 18, 646, 519, 9512, 7461, 1747, 3118, 12497, 548, 430, 17, 274, 16882, 1162, 17, 1358, 277, 1162, 14655, 16, 16882, 1162, 14655, 16, 1192, 292, 2232, 14655, 16, 23655, 34002, 19026, 16, 14655, 25588, 451, 1817, 16, 9365, 8544, 1162, 48164, 549, 16, 1416, 23895, 2135, 48164, 549, 289, 12540, 1416, 23895, 1270, 11542, 910, 510, 45922, 1122, 18, 2949, 924, 16, 282, 1177, 1119, 281, 17498, 18, 646, 289, 519, 9512, 7461, 5922, 840, 2396, 3890, 309, 11690, 1212, 29176, 360, 42711, 25397, 18698, 473, 789, 42849, 13, 519, 430, 17, 323, 28441, 17, 1358, 277, 680, 7626, 18, 3791, 1747, 12497, 548, 3370, 7935, 281, 457, 42849, 309, 11690, 778, 28601, 282, 2580, 1767, 289, 445, 12190, 309, 11690, 778, 28601, 282, 2580, 1767, 282, 3948, 42723, 281, 457, 42849, 18, 478, 983, 1792, 788, 6945, 14161, 470, 510, 16544, 549, 43204, 21982, 17, 48075, 16, 32763, 13438, 294, 17200, 1433, 27276, 14977, 18, 1591, 808, 1710, 1749, 21429, 8234, 1634, 15311, 16, 961, 20146, 282, 9421, 11345, 7423, 18, 13758, 14493, 2159, 6287, 282, 5653, 1045, 282, 43387, 16, 988, 48049, 34245, 424, 7848, 478, 43420, 280, 24621, 861, 385, 2604, 779, 21982, 10211, 1623, 1720, 320, 7822, 680, 18, 4756, 391, 26448, 477, 7755, 309, 17446, 1180, 1095, 559, 16636, 40623, 3269, 486, 589, 3646, 388, 668, 47754, 597, 281, 8296, 478, 983, 1792, 788, 6945, 14161, 470, 282, 3507, 16, 9220, 1027, 1658, 3598, 11826, 779, 18, 365, 5606, 25982, 21214, 942, 13079, 4830, 1175, 9001, 9620, 1624, 7638, 17, 2589, 16145, 44027, 1042, 7001, 2387, 28168, 3910, 289, 29532, 718, 15465, 6816, 365, 1167, 413, 18, 17065, 406, 16, 21982, 17, 48075, 478, 983, 1792, 788, 6945, 14161, 470, 282, 6104, 1045, 35333, 1033, 1533, 16, 25, 3763, 6367, 18, 365, 1175, 1038, 5092, 8063, 17, 36741, 478, 983, 1792, 788, 6945, 1439, 947, 910, 30015, 7180, 954, 5806, 290, 2172, 1212, 29235, 47737, 16, 13778, 16, 9772, 4121, 1437, 9768, 16, 367, 1038, 19264, 10271, 9437, 334, 4806, 30054, 18, 640, 4862, 282, 7847, 289, 11826, 6206, 1573, 2370, 478, 983, 1792, 788, 9305, 10881, 470, 16079, 887, 11087, 4869, 281, 43319, 3125, 414, 5364, 16, 13403, 8309, 309, 6367, 5943, 432, 11400, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1133, 37417, 2458, 18468, 12631, 13495, 18, 403, 13265, 14728, 6712, 15832, 1162, 3785, 9908, 79, 16, 2412, 12866, 4217, 1082, 6066, 14529, 7438, 18, 365, 3106, 4284, 16, 2006, 1749, 2458, 13862, 19108, 309, 1634, 46186, 16, 24737, 7788, 24665, 622, 282, 16211, 289, 28609, 5366, 37086, 6340, 18, 31224, 30, 33929, 1162, 3785, 9908, 79, 16, 1586, 281, 8439, 779, 12715, 16544, 448, 5981, 282, 1767, 6066, 14529, 7438, 16, 5095, 31632, 16, 374, 282, 4440, 1045, 16775, 2834, 1947, 18468, 25667, 2919, 290, 18202, 4090, 7994, 18, 1367, 803, 5130, 282, 3781, 17, 40048, 2241, 18, 20409, 33843, 9908, 79, 5095, 26646, 16, 374, 33347, 808, 20550, 2059, 24467, 282, 6104, 1045, 33725, 309, 816, 5196, 281, 1032, 16, 25, 519, 1032, 16, 27, 986, 18, 967, 803, 3539, 12446, 29415, 4676, 4621, 282, 10305, 36701, 519, 1061, 16, 27, 986, 16, 367, 808, 20550, 424, 8469, 6279, 32720, 282, 11099, 33725, 281, 816, 16, 29, 519, 1032, 16, 21, 779, 16, 5130, 282, 30680, 18, 31509, 10896, 1493, 10043, 7547, 16691, 343, 282, 4008, 5575, 1533, 16, 28, 986, 18, 365, 3106, 10235, 4284, 1335, 24897, 8876, 9908, 79, 29039, 15257, 5768, 15587, 1512, 282, 7823, 289, 28609, 5366, 35591, 9578, 8974, 18, 6831, 7842, 14006, 16, 411, 17, 431, 1639, 18276, 22033, 2625, 20432, 4676, 4621, 16, 34450, 2241, 15684, 23696, 8275, 5197, 289, 24575, 10427, 4999, 48258, 18, 478, 1140, 26694, 48258, 9280, 10030, 13003, 16, 289, 656, 7614, 339, 16, 374, 6174, 2301, 17010, 1747, 764, 282, 3178, 4335, 986, 23631, 8534, 360, 20454, 12142, 910, 510, 5130, 282, 3781, 17, 40048, 9908, 79, 18, 33671, 3305, 2145, 381, 29217, 282, 5021, 1045, 1011, 20454, 12142, 18, 3529, 10929, 8974, 19967, 1223, 1533, 16, 24, 3763, 16482, 18, 365, 4479, 1045, 4426, 4463, 13360, 282, 4008, 9212, 22102, 1640, 478, 682, 414, 2497, 349, 4347, 292, 6500, 470, 289, 6097, 9453, 1876, 309, 3531, 13495, 639, 2245, 315, 2287, 16, 26, 3763, 8974, 18, 13615, 44134, 13279, 16188, 19305, 2518, 1323, 282, 4440, 1045, 18, 999, 19953, 1205, 8275, 2145, 7990, 309, 1533, 9, 334, 7413, 281, 4479, 12260, 18, 47869, 1952, 41624, 1912, 1409, 10272, 1488, 13896, 5642, 16, 411, 1129, 1033, 430, 16, 22, 3763, 4347, 35162, 29, 18314, 2812, 751, 309, 31776, 18, 365, 10841, 4018, 779, 10929, 1493, 7492, 8974, 289, 33230, 1051, 282, 1335, 4008, 334, 8872, 3612, 20299, 309, 2287, 7418, 519, 1658, 4234, 4039, 24, 20732, 16, 3110, 21572, 41255, 2217, 18045, 18, 2785, 6385, 364, 16414, 10241, 16749, 22410, 4389, 1624, 8970, 411, 13764, 16, 1085, 7846, 6815, 11343, 44505, 18, 1895, 17204, 8974, 44549, 41626, 309, 1286, 7418, 519, 2261, 27, 1658, 13539, 20732, 18, 365, 6815, 15016, 3198, 33908, 7814, 49835, 16, 5186, 2339, 282, 6104, 1045, 6228, 10929, 18, 824, 3163, 9541, 17, 40000, 22029, 346, 10015, 1442, 40, 30327, 14008, 768, 339, 21039, 16, 309, 1438, 22139, 451, 5040, 282, 2261, 3763, 5642, 13205, 16188, 3305, 11981, 322, 3255, 2604, 779, 18, 4530, 867, 34450, 9908, 79, 6881, 16, 374, 39767, 17010, 282, 36962, 7994, 895, 18908, 309, 2507, 7547, 23766, 5970, 289, 17972, 14958, 18, 478, 48048, 36425, 3017, 20550, 3348, 289, 867, 575, 32720, 46703, 12356, 3775, 541, 7547, 23766, 1643, 289, 17972, 2477, 282, 6491, 2898, 1161, 6569, 16, 6721, 2048, 722, 1033, 5018, 761, 18, 2949, 924, 16, 33063, 20348, 17972, 2477, 309, 15693, 4267, 16188, 50045, 24859, 773, 11726, 910, 510, 2815, 282, 7337, 21572, 41255, 2217, 18045, 6187, 15352, 9487, 7043, 1011, 486, 616, 1846, 434, 13286, 9840, 2041, 297, 18, 824, 4734, 2041, 486, 16, 22573, 17972, 14958, 3014, 13342, 2159, 13608, 309, 5814, 15693, 2466, 8974, 289, 1033, 15571, 289, 5018, 405, 3624, 281, 10928, 536, 5960, 12270, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 26334, 2815, 16, 374, 33316, 873, 1698, 10052, 506, 282, 3591, 20164, 38366, 1279, 19568, 11228, 4546, 282, 10717, 11220, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21454, 4202, 473, 3127, 630, 14376, 814, 478, 29, 3598, 281, 22502, 18, 646, 519, 9512, 7461, 1747, 3118, 12497, 548, 430, 17, 274, 16882, 1162, 17, 1358, 277, 1162, 14655, 16, 16882, 1162, 14655, 16, 1192, 292, 2232, 14655, 16, 23655, 34002, 19026, 16, 14655, 25588, 451, 1817, 16, 9365, 8544, 1162, 48164, 549, 16, 1416, 23895, 2135, 48164, 549, 289, 12540, 1416, 23895, 1270, 11542, 910, 510, 45922, 1122, 18, 2949, 924, 16, 282, 1177, 1119, 281, 17498, 18, 646, 289, 519, 9512, 7461, 5922, 840, 2396, 3890, 309, 11690, 1212, 29176, 360, 42711, 25397, 18698, 473, 789, 42849, 13, 519, 430, 17, 323, 28441, 17, 1358, 277, 680, 7626, 18, 3791, 1747, 12497, 548, 3370, 7935, 281, 457, 42849, 309, 11690, 778, 28601, 282, 2580, 1767, 289, 445, 12190, 309, 11690, 778, 28601, 282, 2580, 1767, 282, 3948, 42723, 281, 457, 42849, 18, 478, 983, 1792, 788, 6945, 14161, 470, 510, 16544, 549, 43204, 21982, 17, 48075, 16, 32763, 13438, 294, 17200, 1433, 27276, 14977, 18, 1591, 808, 1710, 1749, 21429, 8234, 1634, 15311, 16, 961, 20146, 282, 9421, 11345, 7423, 18, 13758, 14493, 2159, 6287, 282, 5653, 1045, 282, 43387, 16, 988, 48049, 34245, 424, 7848, 478, 43420, 280, 24621, 861, 385, 2604, 779, 21982, 10211, 1623, 1720, 320, 7822, 680, 18, 4756, 391, 26448, 477, 7755, 309, 17446, 1180, 1095, 559, 16636, 40623, 3269, 486, 589, 3646, 388, 668, 47754, 597, 281, 8296, 478, 983, 1792, 788, 6945, 14161, 470, 282, 3507, 16, 9220, 1027, 1658, 3598, 11826, 779, 18, 365, 5606, 25982, 21214, 942, 13079, 4830, 1175, 9001, 9620, 1624, 7638, 17, 2589, 16145, 44027, 1042, 7001, 2387, 28168, 3910, 289, 29532, 718, 15465, 6816, 365, 1167, 413, 18, 17065, 406, 16, 21982, 17, 48075, 478, 983, 1792, 788, 6945, 14161, 470, 282, 6104, 1045, 35333, 1033, 1533, 16, 25, 3763, 6367, 18, 365, 1175, 1038, 5092, 8063, 17, 36741, 478, 983, 1792, 788, 6945, 1439, 947, 910, 30015, 7180, 954, 5806, 290, 2172, 1212, 29235, 47737, 16, 13778, 16, 9772, 4121, 1437, 9768, 16, 367, 1038, 19264, 10271, 9437, 334, 4806, 30054, 18, 640, 4862, 282, 7847, 289, 11826, 6206, 1573, 2370, 478, 983, 1792, 788, 9305, 10881, 470, 16079, 887, 11087, 4869, 281, 43319, 3125, 414, 5364, 16, 13403, 8309, 309, 6367, 5943, 432, 11400, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1133, 37417, 2458, 18468, 12631, 13495, 18, 403, 13265, 14728, 6712, 15832, 1162, 3785, 9908, 79, 16, 2412, 12866, 4217, 1082, 6066, 14529, 7438, 18, 365, 3106, 4284, 16, 2006, 1749, 2458, 13862, 19108, 309, 1634, 46186, 16, 24737, 7788, 24665, 622, 282, 16211, 289, 28609, 5366, 37086, 6340, 18, 31224, 30, 33929, 1162, 3785, 9908, 79, 16, 1586, 281, 8439, 779, 12715, 16544, 448, 5981, 282, 1767, 6066, 14529, 7438, 16, 5095, 31632, 16, 374, 282, 4440, 1045, 16775, 2834, 1947, 18468, 25667, 2919, 290, 18202, 4090, 7994, 18, 1367, 803, 5130, 282, 3781, 17, 40048, 2241, 18, 20409, 33843, 9908, 79, 5095, 26646, 16, 374, 33347, 808, 20550, 2059, 24467, 282, 6104, 1045, 33725, 309, 816, 5196, 281, 1032, 16, 25, 519, 1032, 16, 27, 986, 18, 967, 803, 3539, 12446, 29415, 4676, 4621, 282, 10305, 36701, 519, 1061, 16, 27, 986, 16, 367, 808, 20550, 424, 8469, 6279, 32720, 282, 11099, 33725, 281, 816, 16, 29, 519, 1032, 16, 21, 779, 16, 5130, 282, 30680, 18, 31509, 10896, 1493, 10043, 7547, 16691, 343, 282, 4008, 5575, 1533, 16, 28, 986, 18, 365, 3106, 10235, 4284, 1335, 24897, 8876, 9908, 79, 29039, 15257, 5768, 15587, 1512, 282, 7823, 289, 28609, 5366, 35591, 9578, 8974, 18, 6831, 7842, 14006, 16, 411, 17, 431, 1639, 18276, 22033, 2625, 20432, 4676, 4621, 16, 34450, 2241, 15684, 23696, 8275, 5197, 289, 24575, 10427, 4999, 48258, 18, 478, 1140, 26694, 48258, 9280, 10030, 13003, 16, 289, 656, 7614, 339, 16, 374, 6174, 2301, 17010, 1747, 764, 282, 3178, 4335, 986, 23631, 8534, 360, 20454, 12142, 910, 510, 5130, 282, 3781, 17, 40048, 9908, 79, 18, 33671, 3305, 2145, 381, 29217, 282, 5021, 1045, 1011, 20454, 12142, 18, 3529, 10929, 8974, 19967, 1223, 1533, 16, 24, 3763, 16482, 18, 365, 4479, 1045, 4426, 4463, 13360, 282, 4008, 9212, 22102, 1640, 478, 682, 414, 2497, 349, 4347, 292, 6500, 470, 289, 6097, 9453, 1876, 309, 3531, 13495, 639, 2245, 315, 2287, 16, 26, 3763, 8974, 18, 13615, 44134, 13279, 16188, 19305, 2518, 1323, 282, 4440, 1045, 18, 999, 19953, 1205, 8275, 2145, 7990, 309, 1533, 9, 334, 7413, 281, 4479, 12260, 18, 47869, 1952, 41624, 1912, 1409, 10272, 1488, 13896, 5642, 16, 411, 1129, 1033, 430, 16, 22, 3763, 4347, 35162, 29, 18314, 2812, 751, 309, 31776, 18, 365, 10841, 4018, 779, 10929, 1493, 7492, 8974, 289, 33230, 1051, 282, 1335, 4008, 334, 8872, 3612, 20299, 309, 2287, 7418, 519, 1658, 4234, 4039, 24, 20732, 16, 3110, 21572, 41255, 2217, 18045, 18, 2785, 6385, 364, 16414, 10241, 16749, 22410, 4389, 1624, 8970, 411, 13764, 16, 1085, 7846, 6815, 11343, 44505, 18, 1895, 17204, 8974, 44549, 41626, 309, 1286, 7418, 519, 2261, 27, 1658, 13539, 20732, 18, 365, 6815, 15016, 3198, 33908, 7814, 49835, 16, 5186, 2339, 282, 6104, 1045, 6228, 10929, 18, 824, 3163, 9541, 17, 40000, 22029, 346, 10015, 1442, 40, 30327, 14008, 768, 339, 21039, 16, 309, 1438, 22139, 451, 5040, 282, 2261, 3763, 5642, 13205, 16188, 3305, 11981, 322, 3255, 2604, 779, 18, 4530, 867, 34450, 9908, 79, 6881, 16, 374, 39767, 17010, 282, 36962, 7994, 895, 18908, 309, 2507, 7547, 23766, 5970, 289, 17972, 14958, 18, 478, 48048, 36425, 3017, 20550, 3348, 289, 867, 575, 32720, 46703, 12356, 3775, 541, 7547, 23766, 1643, 289, 17972, 2477, 282, 6491, 2898, 1161, 6569, 16, 6721, 2048, 722, 1033, 5018, 761, 18, 2949, 924, 16, 33063, 20348, 17972, 2477, 309, 15693, 4267, 16188, 50045, 24859, 773, 11726, 910, 510, 2815, 282, 7337, 21572, 41255, 2217, 18045, 6187, 15352, 9487, 7043, 1011, 486, 616, 1846, 434, 13286, 9840, 2041, 297, 18, 824, 4734, 2041, 486, 16, 22573, 17972, 14958, 3014, 13342, 2159, 13608, 309, 5814, 15693, 2466, 8974, 289, 1033, 15571, 289, 5018, 405, 3624, 281, 10928, 536, 5960, 12270, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 26334, 2815, 16, 374, 33316, 873, 1698, 10052, 506, 282, 3591, 20164, 38366, 1279, 19568, 11228, 4546, 282, 10717, 11220, 282 ]
[ 14039, 16, 2686, 541, 978, 2003, 16896, 14512, 16, 22397, 289, 13586, 18, 365, 502, 575, 808, 309, 4862, 14888, 17884, 1279, 11738, 281, 19612, 2855, 30779, 13166, 26757, 18, 31224, 30, 12936, 18448, 873, 9085, 1698, 3043, 4214, 282, 3591, 20164, 38366, 282, 10717, 11220, 16, 371, 803, 8879, 35526, 6010, 339, 1279, 19568, 11228, 4546, 16, 2815, 3781, 17, 15975, 7179, 4830, 6370, 26334, 282, 1078, 309, 22599, 13202, 1519, 3010, 4830, 2665, 10403, 9344, 334, 3043, 11188, 33316, 1275, 282, 14039, 18, 478, 37653, 839, 33316, 873, 1698, 3043, 4214, 282, 20164, 38366, 13013, 3920, 4546, 281, 14665, 1967, 13013, 3920, 4546, 18, 985, 387, 5428, 16, 2407, 322, 1623, 16870, 978, 13013, 16, 13013, 309, 9265, 17, 17569, 2665, 282, 4698, 3678, 29881, 6268, 954, 18, 4530, 48837, 289, 23536, 26757, 510, 22397, 289, 13586, 16, 2391, 16, 4818, 16, 481, 17632, 2395, 6321, 16, 2588, 639, 373, 37570, 315, 4881, 4694, 289, 32632, 801, 695, 2920, 899, 607, 1519, 910, 510, 15875, 1694, 3873, 34040, 6080, 478, 13261, 861, 2949, 924, 16, 9805, 4770, 4137, 6732, 567, 808, 38836, 48542, 9827, 282, 15770, 6455, 18894, 22833, 1066, 290, 3043, 4840, 33316, 1275, 282, 38632, 9085, 18, 967, 803, 4770, 4725, 16, 374, 33316, 2403, 38459, 645, 2003, 15333, 281, 5173, 8274, 3623, 6814, 17750, 20022, 309, 4862, 18, 478, 5786, 11823, 290, 970, 16, 374, 1085, 17, 299, 3957, 374, 17, 299, 396, 354, 11852, 2994, 41783, 9085, 9142, 309, 2456, 2463, 417, 1329, 19508, 1336, 322, 5829, 16, 417, 575, 1696, 726, 29362, 3153, 290, 970, 16, 374, 417, 4425, 3797, 12961, 289, 20024, 17750, 20022, 16, 515, 3253, 20022, 25349, 360, 20024, 1634, 6814, 16, 3387, 322, 2397, 537, 15923, 26337, 16, 537, 9773, 18446, 1810, 910, 510, 9299, 9805, 4770, 18, 6732, 4725, 16, 374, 478, 7944, 322, 895, 953, 19056, 749, 24420, 27726, 281, 16052, 30779, 13166, 26757, 510, 13586, 289, 22397, 470, 23578, 3162, 4770, 718, 35634, 322, 22100, 965, 2693, 5837, 510, 3771, 726, 44433, 4804, 10091, 6897, 39661, 9085, 4871, 41934, 381, 39263, 17750, 334, 12939, 4143, 13441, 35581, 20022, 309, 9265, 17, 17569, 2665, 18, 478, 15883, 3928, 14127, 24070, 4871, 41934, 4804, 10091, 6897, 39661, 289, 2930, 38458, 6789, 2243, 9085, 18, 6673, 3413, 16, 374, 282, 10264, 808, 492, 840, 5241, 286, 2496, 7032, 6897, 18, 6023, 320, 1007, 1056, 874, 15743, 19934, 309, 5066, 14971, 16, 367, 2512, 16, 1011, 14574, 17750, 38632, 9085, 411, 625, 791, 412, 1290, 16, 510, 309, 5066, 3059, 8844, 291, 910, 510, 3828, 3059, 8844, 1175, 371, 9085, 9829, 832, 12548, 2131, 18, 21552, 7796, 1552, 5306, 33308, 3852, 49084, 26765, 48280, 7059, 4830, 1175, 9001, 9620, 290, 33316, 1873, 17750, 9085, 309, 14656, 2665, 18, 967, 803, 5037, 11896, 27568, 8566, 8348, 9620, 478, 404, 3567, 536, 861, 824, 3163, 23385, 22735, 16, 3771, 7316, 332, 5836, 282, 1423, 13354, 16, 282, 1754, 322, 2993, 953, 22193, 7113, 9806, 18, 478, 26451, 1513, 1143, 16, 367, 322, 3440, 6569, 22717, 382, 16, 481, 5571, 8010, 910, 510, 18789, 8099, 18, 2046, 428, 10050, 3781, 17, 15975, 4830, 1175, 6370, 26334, 16, 4137, 6732, 2002, 322, 46517, 1279, 15429, 33316, 1275, 282, 14039, 371, 45528, 309, 481, 1209, 4546, 11220, 18, 365, 502, 575, 808, 26334, 4725, 16, 374, 7533, 617, 290, 5271, 1333, 33316, 1275, 282, 14039, 1055, 1003, 18, 478, 36865, 282, 970, 16, 374, 1542, 9200, 453, 358, 4574, 552, 1398, 36301, 309, 20957, 454, 2299, 2944, 16, 515, 7045, 7533, 617, 537, 329, 2616, 1003, 18, 6732, 2002, 322, 46517, 1279, 7469, 33316, 1275, 910, 510, 1109, 26334, 18, 824, 505, 3163, 16, 6732, 1494, 29230, 16, 374, 481, 2628, 687, 1011, 4819, 427, 4546, 289, 687, 281, 44899, 49623, 14665, 4546, 978, 11220, 18, 640, 4862, 575, 12961, 4608, 9529, 281, 48607, 42196, 18, 365, 4810, 16, 282, 37920, 7796, 1552, 2665, 12002, 16, 374, 322, 4358, 34827, 11738, 281, 16052, 30779, 13166, 22397, 289, 13586, 6152, 31917, 33316, 1873, 17750, 9085, 282, 14039, 16, 367, 1038, 20348, 2954, 1175, 282, 33316, 5395, 14761, 5039, 464, 18, 967, 803, 282, 11379, 16170, 16, 374, 11896, 2665, 11660, 567, 2904, 8348, 4830, 1175, 290, 3775, 15429, 33316, 1275, 9085, 282, 14039, 18, 2949, 924, 16, 334, 3163, 14840, 2665, 282, 9085, 9001, 20917, 6235, 1624, 4770, 2665, 7753, 9344, 1939, 3597, 1038, 15279, 12269, 1247, 282, 9085, 290, 36665, 33316, 1873, 17750, 282, 14039, 18, 478, 672, 762, 6264, 840, 17884, 282, 4900, 4069, 18113, 15013, 1624, 912, 5667, 411, 10588, 5633, 24013, 18, 7743, 322, 282, 970, 16, 5550, 481, 1175, 670, 1003, 16, 656, 14877, 2990, 309, 10808, 33315, 16, 656, 697, 3984, 19656, 319, 289, 282, 4301, 4900, 4069, 40614, 1038, 18, 10110, 2665, 840, 17884, 1939, 17, 361, 7619, 282, 34893, 39661, 9085, 16, 840, 29371, 14668, 16, 5389, 3732, 33316, 8841, 910, 510, 1109, 492, 18, 365, 2450, 476, 1035, 2145, 12002, 16, 374, 7059, 7179, 4830, 1623, 19534, 478, 23189, 991, 917, 49135, 871, 289, 45421, 36803, 470, 2665, 18, 2046, 282, 48353, 360, 1175, 16, 2689, 1880, 32975, 647, 28402, 5273, 16, 374, 33316, 873, 2125, 478, 7511, 1291, 23926, 30430, 496, 470, 289, 8714, 322, 687, 309, 5625, 46332, 1489, 16, 515, 289, 309, 3025, 2923, 16, 7477, 9188, 5074, 496, 16, 478, 275, 293, 11036, 519, 8535, 281, 9609, 861, 2, 1, 87, 1456, 81, 2448, 30, 20354, 48220, 16, 47545, 16, 9685, 448, 40483, 39877, 2458, 282, 1175, 15454, 1330, 18, 42427, 25573, 322, 6597, 16, 828, 309, 2456, 2463, 15373, 9597, 16, 961, 2394, 15844, 15707, 8362, 16, 13619, 1855, 25711, 289, 35794, 13290, 18, 31224, 30, 42945, 945, 1157, 24862, 3594, 6905, 3623, 8231, 1175, 282, 4542, 12652, 416, 44121, 553, 387, 31505, 1421, 16885, 5219, 1378, 3280, 432, 41684, 473, 630, 672, 1009, 934, 2412, 6379, 13625, 2535, 8974, 16, 1715, 282, 11693, 411, 1639, 22907, 17774, 18, 824, 3163, 9539, 11552, 563, 983, 8231, 1175, 20888, 14467, 13083, 14954, 16, 49345, 24095, 17390, 16, 961, 898, 24076, 318, 282, 803, 3280, 547, 24642, 16, 282, 970, 2875, 3103, 14314, 18, 32141, 280, 2837, 8495, 290, 50239, 379, 2339, 4347, 2167, 1305, 2238, 7478, 12967, 9246, 1552, 1715, 720, 45805, 334, 1612, 281, 5512, 4778, 14617, 8351, 269, 758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14039, 16, 2686, 541, 978, 2003, 16896, 14512, 16, 22397, 289, 13586, 18, 365, 502, 575, 808, 309, 4862, 14888, 17884, 1279, 11738, 281, 19612, 2855, 30779, 13166, 26757, 18, 31224, 30, 12936, 18448, 873, 9085, 1698, 3043, 4214, 282, 3591, 20164, 38366, 282, 10717, 11220, 16, 371, 803, 8879, 35526, 6010, 339, 1279, 19568, 11228, 4546, 16, 2815, 3781, 17, 15975, 7179, 4830, 6370, 26334, 282, 1078, 309, 22599, 13202, 1519, 3010, 4830, 2665, 10403, 9344, 334, 3043, 11188, 33316, 1275, 282, 14039, 18, 478, 37653, 839, 33316, 873, 1698, 3043, 4214, 282, 20164, 38366, 13013, 3920, 4546, 281, 14665, 1967, 13013, 3920, 4546, 18, 985, 387, 5428, 16, 2407, 322, 1623, 16870, 978, 13013, 16, 13013, 309, 9265, 17, 17569, 2665, 282, 4698, 3678, 29881, 6268, 954, 18, 4530, 48837, 289, 23536, 26757, 510, 22397, 289, 13586, 16, 2391, 16, 4818, 16, 481, 17632, 2395, 6321, 16, 2588, 639, 373, 37570, 315, 4881, 4694, 289, 32632, 801, 695, 2920, 899, 607, 1519, 910, 510, 15875, 1694, 3873, 34040, 6080, 478, 13261, 861, 2949, 924, 16, 9805, 4770, 4137, 6732, 567, 808, 38836, 48542, 9827, 282, 15770, 6455, 18894, 22833, 1066, 290, 3043, 4840, 33316, 1275, 282, 38632, 9085, 18, 967, 803, 4770, 4725, 16, 374, 33316, 2403, 38459, 645, 2003, 15333, 281, 5173, 8274, 3623, 6814, 17750, 20022, 309, 4862, 18, 478, 5786, 11823, 290, 970, 16, 374, 1085, 17, 299, 3957, 374, 17, 299, 396, 354, 11852, 2994, 41783, 9085, 9142, 309, 2456, 2463, 417, 1329, 19508, 1336, 322, 5829, 16, 417, 575, 1696, 726, 29362, 3153, 290, 970, 16, 374, 417, 4425, 3797, 12961, 289, 20024, 17750, 20022, 16, 515, 3253, 20022, 25349, 360, 20024, 1634, 6814, 16, 3387, 322, 2397, 537, 15923, 26337, 16, 537, 9773, 18446, 1810, 910, 510, 9299, 9805, 4770, 18, 6732, 4725, 16, 374, 478, 7944, 322, 895, 953, 19056, 749, 24420, 27726, 281, 16052, 30779, 13166, 26757, 510, 13586, 289, 22397, 470, 23578, 3162, 4770, 718, 35634, 322, 22100, 965, 2693, 5837, 510, 3771, 726, 44433, 4804, 10091, 6897, 39661, 9085, 4871, 41934, 381, 39263, 17750, 334, 12939, 4143, 13441, 35581, 20022, 309, 9265, 17, 17569, 2665, 18, 478, 15883, 3928, 14127, 24070, 4871, 41934, 4804, 10091, 6897, 39661, 289, 2930, 38458, 6789, 2243, 9085, 18, 6673, 3413, 16, 374, 282, 10264, 808, 492, 840, 5241, 286, 2496, 7032, 6897, 18, 6023, 320, 1007, 1056, 874, 15743, 19934, 309, 5066, 14971, 16, 367, 2512, 16, 1011, 14574, 17750, 38632, 9085, 411, 625, 791, 412, 1290, 16, 510, 309, 5066, 3059, 8844, 291, 910, 510, 3828, 3059, 8844, 1175, 371, 9085, 9829, 832, 12548, 2131, 18, 21552, 7796, 1552, 5306, 33308, 3852, 49084, 26765, 48280, 7059, 4830, 1175, 9001, 9620, 290, 33316, 1873, 17750, 9085, 309, 14656, 2665, 18, 967, 803, 5037, 11896, 27568, 8566, 8348, 9620, 478, 404, 3567, 536, 861, 824, 3163, 23385, 22735, 16, 3771, 7316, 332, 5836, 282, 1423, 13354, 16, 282, 1754, 322, 2993, 953, 22193, 7113, 9806, 18, 478, 26451, 1513, 1143, 16, 367, 322, 3440, 6569, 22717, 382, 16, 481, 5571, 8010, 910, 510, 18789, 8099, 18, 2046, 428, 10050, 3781, 17, 15975, 4830, 1175, 6370, 26334, 16, 4137, 6732, 2002, 322, 46517, 1279, 15429, 33316, 1275, 282, 14039, 371, 45528, 309, 481, 1209, 4546, 11220, 18, 365, 502, 575, 808, 26334, 4725, 16, 374, 7533, 617, 290, 5271, 1333, 33316, 1275, 282, 14039, 1055, 1003, 18, 478, 36865, 282, 970, 16, 374, 1542, 9200, 453, 358, 4574, 552, 1398, 36301, 309, 20957, 454, 2299, 2944, 16, 515, 7045, 7533, 617, 537, 329, 2616, 1003, 18, 6732, 2002, 322, 46517, 1279, 7469, 33316, 1275, 910, 510, 1109, 26334, 18, 824, 505, 3163, 16, 6732, 1494, 29230, 16, 374, 481, 2628, 687, 1011, 4819, 427, 4546, 289, 687, 281, 44899, 49623, 14665, 4546, 978, 11220, 18, 640, 4862, 575, 12961, 4608, 9529, 281, 48607, 42196, 18, 365, 4810, 16, 282, 37920, 7796, 1552, 2665, 12002, 16, 374, 322, 4358, 34827, 11738, 281, 16052, 30779, 13166, 22397, 289, 13586, 6152, 31917, 33316, 1873, 17750, 9085, 282, 14039, 16, 367, 1038, 20348, 2954, 1175, 282, 33316, 5395, 14761, 5039, 464, 18, 967, 803, 282, 11379, 16170, 16, 374, 11896, 2665, 11660, 567, 2904, 8348, 4830, 1175, 290, 3775, 15429, 33316, 1275, 9085, 282, 14039, 18, 2949, 924, 16, 334, 3163, 14840, 2665, 282, 9085, 9001, 20917, 6235, 1624, 4770, 2665, 7753, 9344, 1939, 3597, 1038, 15279, 12269, 1247, 282, 9085, 290, 36665, 33316, 1873, 17750, 282, 14039, 18, 478, 672, 762, 6264, 840, 17884, 282, 4900, 4069, 18113, 15013, 1624, 912, 5667, 411, 10588, 5633, 24013, 18, 7743, 322, 282, 970, 16, 5550, 481, 1175, 670, 1003, 16, 656, 14877, 2990, 309, 10808, 33315, 16, 656, 697, 3984, 19656, 319, 289, 282, 4301, 4900, 4069, 40614, 1038, 18, 10110, 2665, 840, 17884, 1939, 17, 361, 7619, 282, 34893, 39661, 9085, 16, 840, 29371, 14668, 16, 5389, 3732, 33316, 8841, 910, 510, 1109, 492, 18, 365, 2450, 476, 1035, 2145, 12002, 16, 374, 7059, 7179, 4830, 1623, 19534, 478, 23189, 991, 917, 49135, 871, 289, 45421, 36803, 470, 2665, 18, 2046, 282, 48353, 360, 1175, 16, 2689, 1880, 32975, 647, 28402, 5273, 16, 374, 33316, 873, 2125, 478, 7511, 1291, 23926, 30430, 496, 470, 289, 8714, 322, 687, 309, 5625, 46332, 1489, 16, 515, 289, 309, 3025, 2923, 16, 7477, 9188, 5074, 496, 16, 478, 275, 293, 11036, 519, 8535, 281, 9609, 861, 2, 1, 87, 1456, 81, 2448, 30, 20354, 48220, 16, 47545, 16, 9685, 448, 40483, 39877, 2458, 282, 1175, 15454, 1330, 18, 42427, 25573, 322, 6597, 16, 828, 309, 2456, 2463, 15373, 9597, 16, 961, 2394, 15844, 15707, 8362, 16, 13619, 1855, 25711, 289, 35794, 13290, 18, 31224, 30, 42945, 945, 1157, 24862, 3594, 6905, 3623, 8231, 1175, 282, 4542, 12652, 416, 44121, 553, 387, 31505, 1421, 16885, 5219, 1378, 3280, 432, 41684, 473, 630, 672, 1009, 934, 2412, 6379, 13625, 2535, 8974, 16, 1715, 282, 11693, 411, 1639, 22907, 17774, 18, 824, 3163, 9539, 11552, 563, 983, 8231, 1175, 20888, 14467, 13083, 14954, 16, 49345, 24095, 17390, 16, 961, 898, 24076, 318, 282, 803, 3280, 547, 24642, 16, 282, 970, 2875, 3103, 14314, 18, 32141, 280, 2837, 8495, 290, 50239, 379, 2339, 4347, 2167, 1305, 2238, 7478, 12967, 9246, 1552, 1715, 720, 45805, 334, 1612, 281, 5512, 4778, 14617, 8351, 269, 758 ]
[ 16264, 411, 33263, 6431, 18, 1591, 12241, 282, 3177, 26641, 12719, 6274, 17005, 31451, 411, 1543, 4938, 434, 6617, 7996, 3594, 35097, 2087, 334, 32807, 349, 47280, 14749, 290, 31579, 3623, 18159, 385, 511, 291, 18, 365, 1500, 575, 1119, 334, 44784, 1055, 12150, 20713, 30359, 282, 16294, 1421, 25545, 4436, 11809, 4900, 39876, 18, 10470, 1505, 5119, 567, 1514, 2968, 25009, 294, 26847, 2513, 13773, 289, 4487, 9885, 31633, 272, 510, 24609, 697, 16331, 18, 2046, 282, 49880, 7338, 475, 17, 2767, 912, 43764, 2954, 778, 6457, 1195, 29550, 1082, 18, 740, 16, 4836, 16, 912, 14472, 282, 970, 16, 374, 10169, 10008, 11424, 38275, 16, 13143, 16, 1882, 670, 5992, 16, 4858, 341, 25711, 16, 367, 10970, 394, 35780, 349, 34670, 14749, 18, 49047, 411, 9163, 6994, 2019, 5261, 13631, 282, 33263, 4212, 26406, 1833, 575, 13985, 8394, 3251, 758, 47599, 282, 1967, 11413, 292, 16, 3387, 5416, 16, 374, 5792, 475, 3066, 2673, 4290, 467, 14326, 18, 403, 2222, 575, 41749, 16, 428, 289, 9874, 2393, 7190, 2891, 16, 1122, 5935, 766, 1360, 14055, 289, 17686, 12898, 2206, 18, 365, 1175, 510, 289, 481, 13337, 2837, 6588, 3338, 33263, 12588, 510, 12417, 323, 6409, 4821, 617, 3929, 322, 687, 12441, 448, 670, 18909, 17729, 16, 37030, 16725, 281, 17036, 26205, 18, 1345, 1329, 322, 7836, 290, 970, 16, 828, 309, 2456, 2463, 15373, 2874, 9637, 289, 17774, 44632, 16, 36560, 289, 10970, 394, 18, 2787, 912, 14429, 17296, 26137, 16, 374, 10970, 394, 20748, 467, 1481, 38514, 4211, 16, 17774, 8022, 5802, 34811, 4347, 2167, 356, 5363, 670, 10271, 326, 1867, 1512, 282, 39195, 781, 18, 6140, 1775, 289, 5088, 1697, 3169, 448, 9868, 4000, 2048, 1333, 1505, 12272, 1033, 9342, 6150, 541, 5054, 289, 2619, 1040, 25885, 589, 18805, 4726, 17279, 3236, 18, 48555, 913, 2497, 17773, 16, 3960, 17, 289, 6190, 5089, 4562, 31808, 465, 39877, 16, 697, 9546, 539, 445, 16467, 4093, 25268, 3236, 12649, 1472, 282, 2100, 478, 8016, 1496, 434, 40432, 910, 2081, 432, 2297, 7271, 7492, 670, 2291, 881, 1388, 282, 7898, 4462, 13021, 18, 967, 803, 537, 2361, 411, 18811, 36193, 322, 5273, 17909, 2382, 12271, 334, 9017, 27871, 9885, 18186, 670, 23030, 453, 16, 374, 49358, 322, 4362, 18, 45657, 16, 374, 3067, 5229, 17005, 31451, 22974, 385, 511, 291, 322, 14785, 286, 294, 3275, 3787, 1481, 350, 1147, 6619, 16, 322, 5695, 8264, 309, 1247, 16, 2710, 764, 10317, 3005, 953, 329, 1478, 2822, 282, 4101, 3142, 29288, 8984, 14261, 7640, 17, 11884, 25545, 7194, 19361, 35097, 2087, 7345, 649, 6791, 1254, 281, 8429, 18, 17479, 45599, 11861, 282, 19267, 1624, 374, 1421, 8182, 11809, 25290, 351, 11415, 548, 334, 13976, 7574, 16, 367, 322, 411, 17, 431, 11220, 281, 19389, 4900, 39876, 670, 42936, 38008, 3851, 16, 1320, 1329, 322, 42538, 18, 2667, 4319, 1326, 870, 1421, 11809, 309, 8884, 4011, 373, 322, 17294, 887, 16, 289, 10896, 329, 1129, 322, 9501, 451, 18, 30686, 427, 16, 374, 44632, 1139, 322, 42123, 282, 4301, 12917, 323, 2097, 8855, 40346, 11505, 411, 4534, 282, 2393, 2223, 16, 1320, 322, 939, 5807, 22103, 30, 745, 16, 2805, 7996, 24862, 33335, 3594, 4900, 39876, 4944, 12250, 16470, 1624, 36410, 3872, 20276, 758, 16, 294, 2222, 575, 30325, 1617, 17260, 6152, 15660, 18, 996, 374, 583, 5809, 22207, 697, 282, 2393, 2223, 5119, 473, 1546, 811, 520, 1574, 4747, 510, 29012, 1320, 322, 6442, 13, 4849, 2823, 373, 290, 9423, 2889, 891, 282, 4900, 4261, 636, 18, 27289, 23285, 1500, 1809, 1218, 21665, 4260, 33263, 12588, 16, 697, 15708, 542, 5245, 2003, 5638, 451, 20412, 281, 28106, 16, 2382, 2636, 1617, 3193, 289, 4075, 16, 3066, 428, 289, 6144, 3595, 30660, 16, 4362, 19923, 19420, 477, 1963, 4186, 18, 7594, 20048, 467, 9611, 16, 374, 10169, 2985, 341, 697, 282, 1750, 16521, 26177, 16, 24030, 289, 36749, 23871, 360, 32259, 1568, 448, 3018, 16, 367, 13143, 2788, 11477, 360, 25711, 18, 967, 803, 15661, 445, 14580, 39877, 16, 961, 10986, 42924, 280, 2625, 282, 46973, 6036, 16861, 263, 30660, 289, 17209, 281, 12070, 29092, 5738, 16, 3623, 289, 7431, 16, 4266, 290, 22958, 763, 2887, 4000, 18, 1937, 15913, 18988, 1143, 16, 828, 25711, 16, 785, 13518, 282, 4257, 6344, 484, 428, 20889, 3623, 36178, 282, 11063, 4481, 16, 8486, 35683, 3322, 28227, 2596, 16891, 5054, 281, 17719, 18, 2787, 16, 374, 481, 3621, 282, 1175, 16, 428, 445, 34457, 322, 26705, 18, 18110, 5298, 17724, 289, 3147, 28643, 11385, 13193, 653, 15437, 18, 2, 1, 87, 1456, 81, 2448, 30, 45907, 33498, 457, 9827, 17, 24634, 7974, 457, 15591, 523, 42119, 281, 5263, 1134, 14132, 28375, 309, 19782, 38081, 8822, 8709, 16, 1029, 15279, 2352, 16064, 329, 8709, 3436, 3763, 2791, 18, 999, 339, 4961, 17463, 18765, 47626, 10902, 2661, 4358, 16, 371, 1982, 275, 40543, 34381, 496, 2644, 9105, 18, 365, 457, 9827, 978, 322, 11614, 289, 20713, 27875, 8501, 16, 334, 5076, 5823, 2125, 23232, 28090, 18, 6158, 1055, 7007, 309, 2580, 23232, 7336, 18, 31224, 30, 672, 841, 13499, 23519, 595, 1891, 675, 332, 14535, 290, 44724, 547, 1263, 263, 8006, 294, 22758, 18, 365, 34086, 1551, 35629, 626, 8494, 6370, 34848, 473, 36132, 1921, 2539, 798, 282, 9643, 3623, 934, 1029, 3957, 15343, 3058, 281, 8709, 478, 789, 15591, 405, 1832, 5003, 448, 2926, 470, 39288, 282, 9802, 3436, 3763, 2791, 16, 3828, 4772, 17, 11800, 300, 478, 26157, 264, 17, 47917, 8981, 861, 11474, 1223, 16, 15396, 16281, 6907, 3583, 510, 439, 4640, 523, 18, 365, 8068, 464, 582, 21510, 718, 5129, 912, 20592, 1263, 15803, 439, 4640, 3340, 16, 1029, 11450, 6795, 8253, 277, 15803, 6907, 3583, 18, 7749, 1013, 23232, 7336, 6048, 49914, 10027, 478, 8871, 20270, 30376, 861, 13758, 3275, 2035, 24807, 43025, 9601, 2944, 18, 365, 5049, 1045, 11350, 17, 7984, 945, 742, 17329, 6431, 360, 820, 307, 3064, 1141, 1822, 451, 975, 334, 19290, 4957, 289, 40543, 34381, 496, 7316, 282, 1047, 5836, 18, 365, 1047, 492, 5692, 16, 374, 13064, 549, 27200, 349, 33930, 5003, 304, 289, 16477, 349, 4590, 1616, 3443, 2466, 4076, 14872, 2239, 7418, 367, 1038, 11299, 16, 5938, 5076, 14463, 17205, 322, 39128, 475, 8424, 289, 16570, 16, 9278, 448, 22225, 1134, 18, 2949, 6226, 4116, 20139, 43991, 48991, 34381, 354, 6370, 15907, 271, 289, 6555, 4332, 668, 329, 33410, 7257, 653, 1066 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16264, 411, 33263, 6431, 18, 1591, 12241, 282, 3177, 26641, 12719, 6274, 17005, 31451, 411, 1543, 4938, 434, 6617, 7996, 3594, 35097, 2087, 334, 32807, 349, 47280, 14749, 290, 31579, 3623, 18159, 385, 511, 291, 18, 365, 1500, 575, 1119, 334, 44784, 1055, 12150, 20713, 30359, 282, 16294, 1421, 25545, 4436, 11809, 4900, 39876, 18, 10470, 1505, 5119, 567, 1514, 2968, 25009, 294, 26847, 2513, 13773, 289, 4487, 9885, 31633, 272, 510, 24609, 697, 16331, 18, 2046, 282, 49880, 7338, 475, 17, 2767, 912, 43764, 2954, 778, 6457, 1195, 29550, 1082, 18, 740, 16, 4836, 16, 912, 14472, 282, 970, 16, 374, 10169, 10008, 11424, 38275, 16, 13143, 16, 1882, 670, 5992, 16, 4858, 341, 25711, 16, 367, 10970, 394, 35780, 349, 34670, 14749, 18, 49047, 411, 9163, 6994, 2019, 5261, 13631, 282, 33263, 4212, 26406, 1833, 575, 13985, 8394, 3251, 758, 47599, 282, 1967, 11413, 292, 16, 3387, 5416, 16, 374, 5792, 475, 3066, 2673, 4290, 467, 14326, 18, 403, 2222, 575, 41749, 16, 428, 289, 9874, 2393, 7190, 2891, 16, 1122, 5935, 766, 1360, 14055, 289, 17686, 12898, 2206, 18, 365, 1175, 510, 289, 481, 13337, 2837, 6588, 3338, 33263, 12588, 510, 12417, 323, 6409, 4821, 617, 3929, 322, 687, 12441, 448, 670, 18909, 17729, 16, 37030, 16725, 281, 17036, 26205, 18, 1345, 1329, 322, 7836, 290, 970, 16, 828, 309, 2456, 2463, 15373, 2874, 9637, 289, 17774, 44632, 16, 36560, 289, 10970, 394, 18, 2787, 912, 14429, 17296, 26137, 16, 374, 10970, 394, 20748, 467, 1481, 38514, 4211, 16, 17774, 8022, 5802, 34811, 4347, 2167, 356, 5363, 670, 10271, 326, 1867, 1512, 282, 39195, 781, 18, 6140, 1775, 289, 5088, 1697, 3169, 448, 9868, 4000, 2048, 1333, 1505, 12272, 1033, 9342, 6150, 541, 5054, 289, 2619, 1040, 25885, 589, 18805, 4726, 17279, 3236, 18, 48555, 913, 2497, 17773, 16, 3960, 17, 289, 6190, 5089, 4562, 31808, 465, 39877, 16, 697, 9546, 539, 445, 16467, 4093, 25268, 3236, 12649, 1472, 282, 2100, 478, 8016, 1496, 434, 40432, 910, 2081, 432, 2297, 7271, 7492, 670, 2291, 881, 1388, 282, 7898, 4462, 13021, 18, 967, 803, 537, 2361, 411, 18811, 36193, 322, 5273, 17909, 2382, 12271, 334, 9017, 27871, 9885, 18186, 670, 23030, 453, 16, 374, 49358, 322, 4362, 18, 45657, 16, 374, 3067, 5229, 17005, 31451, 22974, 385, 511, 291, 322, 14785, 286, 294, 3275, 3787, 1481, 350, 1147, 6619, 16, 322, 5695, 8264, 309, 1247, 16, 2710, 764, 10317, 3005, 953, 329, 1478, 2822, 282, 4101, 3142, 29288, 8984, 14261, 7640, 17, 11884, 25545, 7194, 19361, 35097, 2087, 7345, 649, 6791, 1254, 281, 8429, 18, 17479, 45599, 11861, 282, 19267, 1624, 374, 1421, 8182, 11809, 25290, 351, 11415, 548, 334, 13976, 7574, 16, 367, 322, 411, 17, 431, 11220, 281, 19389, 4900, 39876, 670, 42936, 38008, 3851, 16, 1320, 1329, 322, 42538, 18, 2667, 4319, 1326, 870, 1421, 11809, 309, 8884, 4011, 373, 322, 17294, 887, 16, 289, 10896, 329, 1129, 322, 9501, 451, 18, 30686, 427, 16, 374, 44632, 1139, 322, 42123, 282, 4301, 12917, 323, 2097, 8855, 40346, 11505, 411, 4534, 282, 2393, 2223, 16, 1320, 322, 939, 5807, 22103, 30, 745, 16, 2805, 7996, 24862, 33335, 3594, 4900, 39876, 4944, 12250, 16470, 1624, 36410, 3872, 20276, 758, 16, 294, 2222, 575, 30325, 1617, 17260, 6152, 15660, 18, 996, 374, 583, 5809, 22207, 697, 282, 2393, 2223, 5119, 473, 1546, 811, 520, 1574, 4747, 510, 29012, 1320, 322, 6442, 13, 4849, 2823, 373, 290, 9423, 2889, 891, 282, 4900, 4261, 636, 18, 27289, 23285, 1500, 1809, 1218, 21665, 4260, 33263, 12588, 16, 697, 15708, 542, 5245, 2003, 5638, 451, 20412, 281, 28106, 16, 2382, 2636, 1617, 3193, 289, 4075, 16, 3066, 428, 289, 6144, 3595, 30660, 16, 4362, 19923, 19420, 477, 1963, 4186, 18, 7594, 20048, 467, 9611, 16, 374, 10169, 2985, 341, 697, 282, 1750, 16521, 26177, 16, 24030, 289, 36749, 23871, 360, 32259, 1568, 448, 3018, 16, 367, 13143, 2788, 11477, 360, 25711, 18, 967, 803, 15661, 445, 14580, 39877, 16, 961, 10986, 42924, 280, 2625, 282, 46973, 6036, 16861, 263, 30660, 289, 17209, 281, 12070, 29092, 5738, 16, 3623, 289, 7431, 16, 4266, 290, 22958, 763, 2887, 4000, 18, 1937, 15913, 18988, 1143, 16, 828, 25711, 16, 785, 13518, 282, 4257, 6344, 484, 428, 20889, 3623, 36178, 282, 11063, 4481, 16, 8486, 35683, 3322, 28227, 2596, 16891, 5054, 281, 17719, 18, 2787, 16, 374, 481, 3621, 282, 1175, 16, 428, 445, 34457, 322, 26705, 18, 18110, 5298, 17724, 289, 3147, 28643, 11385, 13193, 653, 15437, 18, 2, 1, 87, 1456, 81, 2448, 30, 45907, 33498, 457, 9827, 17, 24634, 7974, 457, 15591, 523, 42119, 281, 5263, 1134, 14132, 28375, 309, 19782, 38081, 8822, 8709, 16, 1029, 15279, 2352, 16064, 329, 8709, 3436, 3763, 2791, 18, 999, 339, 4961, 17463, 18765, 47626, 10902, 2661, 4358, 16, 371, 1982, 275, 40543, 34381, 496, 2644, 9105, 18, 365, 457, 9827, 978, 322, 11614, 289, 20713, 27875, 8501, 16, 334, 5076, 5823, 2125, 23232, 28090, 18, 6158, 1055, 7007, 309, 2580, 23232, 7336, 18, 31224, 30, 672, 841, 13499, 23519, 595, 1891, 675, 332, 14535, 290, 44724, 547, 1263, 263, 8006, 294, 22758, 18, 365, 34086, 1551, 35629, 626, 8494, 6370, 34848, 473, 36132, 1921, 2539, 798, 282, 9643, 3623, 934, 1029, 3957, 15343, 3058, 281, 8709, 478, 789, 15591, 405, 1832, 5003, 448, 2926, 470, 39288, 282, 9802, 3436, 3763, 2791, 16, 3828, 4772, 17, 11800, 300, 478, 26157, 264, 17, 47917, 8981, 861, 11474, 1223, 16, 15396, 16281, 6907, 3583, 510, 439, 4640, 523, 18, 365, 8068, 464, 582, 21510, 718, 5129, 912, 20592, 1263, 15803, 439, 4640, 3340, 16, 1029, 11450, 6795, 8253, 277, 15803, 6907, 3583, 18, 7749, 1013, 23232, 7336, 6048, 49914, 10027, 478, 8871, 20270, 30376, 861, 13758, 3275, 2035, 24807, 43025, 9601, 2944, 18, 365, 5049, 1045, 11350, 17, 7984, 945, 742, 17329, 6431, 360, 820, 307, 3064, 1141, 1822, 451, 975, 334, 19290, 4957, 289, 40543, 34381, 496, 7316, 282, 1047, 5836, 18, 365, 1047, 492, 5692, 16, 374, 13064, 549, 27200, 349, 33930, 5003, 304, 289, 16477, 349, 4590, 1616, 3443, 2466, 4076, 14872, 2239, 7418, 367, 1038, 11299, 16, 5938, 5076, 14463, 17205, 322, 39128, 475, 8424, 289, 16570, 16, 9278, 448, 22225, 1134, 18, 2949, 6226, 4116, 20139, 43991, 48991, 34381, 354, 6370, 15907, 271, 289, 6555, 4332, 668, 329, 33410, 7257, 653, 1066 ]
[ 510, 360, 2945, 454, 309, 4788, 8709, 18, 10051, 645, 457, 9827, 44976, 1978, 1453, 22758, 2644, 309, 39518, 3614, 386, 71, 87, 70, 5763, 18, 532, 18, 7783, 18, 640, 1169, 492, 11836, 16, 374, 349, 11077, 14909, 8468, 9105, 457, 9827, 17, 19602, 1943, 840, 36089, 975, 39288, 282, 816, 3763, 2791, 16, 367, 349, 28361, 3173, 334, 19745, 8709, 510, 289, 4521, 1286, 3763, 2791, 18, 23302, 457, 9827, 17, 24634, 282, 1078, 387, 499, 414, 5063, 4934, 30388, 28826, 1254, 17, 431, 47317, 289, 34406, 29941, 5003, 668, 11422, 16, 30944, 1978, 1453, 773, 2644, 18, 2046, 282, 4018, 1045, 16, 785, 7065, 8181, 15343, 3058, 281, 8006, 2178, 28642, 16, 8424, 289, 42588, 282, 9802, 7640, 4500, 18, 2791, 16, 975, 322, 3225, 481, 2048, 18, 6158, 27529, 697, 22807, 16, 22279, 275, 281, 8006, 1472, 667, 4500, 18, 2791, 282, 2948, 18112, 16178, 18, 365, 13186, 3734, 779, 14463, 457, 9827, 8494, 282, 2333, 24022, 28150, 1583, 24413, 281, 44818, 309, 3436, 3763, 2791, 30, 492, 3957, 15343, 3058, 334, 816, 3763, 2791, 349, 11077, 411, 21440, 1378, 30833, 10504, 17963, 8468, 289, 34530, 282, 29300, 1555, 4666, 18, 22032, 572, 26397, 457, 9827, 7974, 457, 15591, 405, 1832, 17684, 282, 3177, 43287, 43451, 5229, 15506, 30, 478, 4408, 4734, 3338, 42770, 16, 492, 322, 3436, 9433, 16, 367, 21657, 1032, 779, 349, 13771, 16253, 12845, 910, 510, 2815, 10902, 269, 18, 478, 1140, 813, 1003, 48991, 34381, 354, 16, 475, 6218, 289, 9342, 695, 16, 9718, 4854, 9287, 11422, 510, 971, 3984, 3111, 16, 510, 9280, 17635, 18, 510, 17317, 1086, 510, 481, 16975, 510, 334, 17, 10087, 16, 2091, 16, 282, 683, 339, 473, 1602, 2659, 1223, 16, 8849, 282, 4432, 3771, 18, 510, 478, 18386, 18, 19021, 9979, 322, 475, 453, 6881, 910, 510, 10050, 17635, 473, 29117, 12904, 289, 32432, 264, 783, 7180, 1007, 814, 824, 505, 3163, 16, 7065, 1055, 1329, 322, 25469, 289, 7006, 520, 11932, 305, 18, 478, 672, 1891, 16161, 478, 300, 7527, 451, 5974, 470, 289, 3368, 936, 396, 3436, 9433, 18, 7858, 1329, 329, 813, 322, 7499, 305, 16, 481, 9982, 4951, 38151, 1380, 910, 510, 48922, 492, 18, 478, 677, 11130, 840, 6652, 539, 7649, 6135, 334, 33158, 309, 23352, 4500, 18, 2791, 16, 290, 21260, 11666, 309, 3436, 3763, 2791, 656, 1329, 322, 7836, 18, 20439, 282, 12564, 840, 34955, 1423, 835, 5255, 16, 867, 1033, 14517, 16, 374, 14463, 14106, 808, 45192, 17451, 282, 20172, 334, 7940, 2509, 20944, 30, 43222, 19195, 8761, 1465, 289, 32049, 937, 36846, 334, 7168, 3429, 1876, 16, 367, 322, 334, 2200, 18, 1345, 28361, 2311, 4957, 16, 1548, 374, 492, 13903, 10285, 15442, 334, 11613, 24929, 16, 510, 17684, 2089, 5901, 478, 46088, 18, 8381, 470, 9541, 17, 22079, 457, 9827, 7974, 439, 10119, 21710, 18, 510, 1345, 7967, 282, 803, 1750, 15661, 13771, 19637, 477, 1963, 8006, 18, 1614, 12539, 8709, 41522, 1247, 381, 10762, 553, 14132, 1101, 861, 824, 505, 3163, 16, 3022, 26840, 38081, 8822, 334, 39840, 1147, 1350, 27586, 8709, 1623, 4775, 40189, 289, 14736, 281, 867, 16, 374, 282, 5049, 1045, 7065, 687, 18037, 1423, 5998, 289, 4126, 685, 322, 519, 3915, 360, 332, 1957, 18, 478, 17603, 7065, 36189, 3417, 443, 27154, 4500, 18, 33410, 14952, 2552, 5004, 16, 289, 2388, 13228, 5285, 4633, 910, 510, 22618, 10902, 269, 18, 1614, 12539, 7501, 3236, 16, 374, 29941, 8709, 9553, 9422, 23371, 282, 3436, 3763, 2791, 18, 478, 14102, 911, 2563, 306, 16, 374, 481, 42588, 349, 14909, 4957, 432, 8468, 289, 349, 28361, 3173, 9105, 18, 1178, 5003, 451, 4957, 685, 49549, 1578, 30833, 282, 2630, 281, 4080, 17, 3697, 25195, 477, 1963, 23232, 7336, 16, 502, 19961, 541, 22279, 542, 36222, 1003, 16, 453, 428, 23232, 4961, 29386, 15442, 16, 367, 10556, 349, 29734, 3589, 28361, 3173, 9105, 895, 4417, 1756, 687, 371, 28361, 4513, 9105, 30833, 749, 4700, 17, 3697, 4284, 18, 1178, 5825, 290, 970, 16, 374, 1551, 726, 13749, 5003, 451, 4957, 1097, 5966, 16, 834, 324, 16, 502, 289, 21600, 9235, 613, 290, 22279, 750, 46724, 16, 3848, 1223, 16, 840, 7052, 1569, 18, 2046, 1551, 6769, 6353, 5914, 10562, 12512, 36222, 282, 5118, 281, 12233, 16, 3761, 975, 422, 18, 816, 7536, 18930, 18, 30704, 16, 374, 11617, 22279, 542, 16, 935, 827, 678, 289, 840, 4417, 1756, 16, 322, 6245, 17471, 1293, 13289, 2634, 2791, 16, 453, 428, 541, 3662, 50054, 322, 39870, 22279, 564, 7658, 5769, 462, 508, 289, 46724, 18, 981, 289, 36216, 46724, 282, 36043, 25907, 309, 12846, 25994, 1352, 13144, 20394, 16, 367, 322, 309, 21597, 2357, 2059, 411, 4546, 910, 510, 49644, 6096, 7022, 1798, 1624, 30599, 2241, 478, 1916, 987, 291, 289, 42550, 276, 861, 824, 505, 3163, 16, 541, 924, 753, 16801, 1519, 8183, 8006, 428, 13771, 16253, 16, 22758, 2003, 840, 13076, 16, 374, 329, 1047, 685, 17142, 9055, 309, 8190, 670, 25780, 282, 28282, 18, 478, 684, 326, 645, 3404, 22758, 1324, 3589, 7059, 282, 970, 575, 2100, 16, 374, 289, 3619, 360, 8709, 18, 2787, 16, 374, 8811, 8709, 322, 36134, 6549, 1188, 697, 9565, 1525, 16, 510, 481, 322, 505, 8935, 18, 365, 21514, 1750, 349, 13771, 16253, 3711, 373, 14044, 10902, 483, 8502, 445, 16, 785, 23232, 6951, 5524, 2625, 20881, 360, 8709, 6549, 16, 4179, 724, 1245, 697, 38787, 910, 510, 26698, 30599, 18, 37831, 14971, 289, 4521, 25156, 16, 374, 2651, 2089, 5901, 23232, 4961, 457, 9827, 22111, 16, 753, 27636, 1938, 1595, 4788, 18, 9873, 13840, 8468, 9105, 309, 1169, 1038, 40751, 12330, 309, 2393, 15287, 18, 365, 4810, 16, 681, 5779, 20410, 39145, 37610, 16, 912, 12330, 309, 24804, 17474, 31745, 16, 5628, 541, 14002, 17, 429, 5967, 289, 453, 5287, 18, 478, 684, 6095, 16, 5906, 1512, 11680, 16, 374, 23452, 16, 4461, 21814, 1660, 17, 3697, 510, 481, 4461, 541, 30265, 1437, 18, 3747, 309, 2456, 2463, 281, 23452, 304, 1329, 7203, 481, 322, 2397, 18, 18154, 1247, 30, 942, 520, 481, 2048, 281, 41041, 38875, 35, 981, 16, 942, 16, 515, 481, 840, 8866, 453, 7376, 16, 367, 322, 8485, 2403, 18, 7594, 16, 961, 10481, 487, 322, 3336, 16, 30850, 445, 2248, 13108, 1030, 560, 18, 2876, 282, 5633, 808, 20419, 16258, 548, 16, 281, 2059, 1963, 16, 481, 37781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 360, 2945, 454, 309, 4788, 8709, 18, 10051, 645, 457, 9827, 44976, 1978, 1453, 22758, 2644, 309, 39518, 3614, 386, 71, 87, 70, 5763, 18, 532, 18, 7783, 18, 640, 1169, 492, 11836, 16, 374, 349, 11077, 14909, 8468, 9105, 457, 9827, 17, 19602, 1943, 840, 36089, 975, 39288, 282, 816, 3763, 2791, 16, 367, 349, 28361, 3173, 334, 19745, 8709, 510, 289, 4521, 1286, 3763, 2791, 18, 23302, 457, 9827, 17, 24634, 282, 1078, 387, 499, 414, 5063, 4934, 30388, 28826, 1254, 17, 431, 47317, 289, 34406, 29941, 5003, 668, 11422, 16, 30944, 1978, 1453, 773, 2644, 18, 2046, 282, 4018, 1045, 16, 785, 7065, 8181, 15343, 3058, 281, 8006, 2178, 28642, 16, 8424, 289, 42588, 282, 9802, 7640, 4500, 18, 2791, 16, 975, 322, 3225, 481, 2048, 18, 6158, 27529, 697, 22807, 16, 22279, 275, 281, 8006, 1472, 667, 4500, 18, 2791, 282, 2948, 18112, 16178, 18, 365, 13186, 3734, 779, 14463, 457, 9827, 8494, 282, 2333, 24022, 28150, 1583, 24413, 281, 44818, 309, 3436, 3763, 2791, 30, 492, 3957, 15343, 3058, 334, 816, 3763, 2791, 349, 11077, 411, 21440, 1378, 30833, 10504, 17963, 8468, 289, 34530, 282, 29300, 1555, 4666, 18, 22032, 572, 26397, 457, 9827, 7974, 457, 15591, 405, 1832, 17684, 282, 3177, 43287, 43451, 5229, 15506, 30, 478, 4408, 4734, 3338, 42770, 16, 492, 322, 3436, 9433, 16, 367, 21657, 1032, 779, 349, 13771, 16253, 12845, 910, 510, 2815, 10902, 269, 18, 478, 1140, 813, 1003, 48991, 34381, 354, 16, 475, 6218, 289, 9342, 695, 16, 9718, 4854, 9287, 11422, 510, 971, 3984, 3111, 16, 510, 9280, 17635, 18, 510, 17317, 1086, 510, 481, 16975, 510, 334, 17, 10087, 16, 2091, 16, 282, 683, 339, 473, 1602, 2659, 1223, 16, 8849, 282, 4432, 3771, 18, 510, 478, 18386, 18, 19021, 9979, 322, 475, 453, 6881, 910, 510, 10050, 17635, 473, 29117, 12904, 289, 32432, 264, 783, 7180, 1007, 814, 824, 505, 3163, 16, 7065, 1055, 1329, 322, 25469, 289, 7006, 520, 11932, 305, 18, 478, 672, 1891, 16161, 478, 300, 7527, 451, 5974, 470, 289, 3368, 936, 396, 3436, 9433, 18, 7858, 1329, 329, 813, 322, 7499, 305, 16, 481, 9982, 4951, 38151, 1380, 910, 510, 48922, 492, 18, 478, 677, 11130, 840, 6652, 539, 7649, 6135, 334, 33158, 309, 23352, 4500, 18, 2791, 16, 290, 21260, 11666, 309, 3436, 3763, 2791, 656, 1329, 322, 7836, 18, 20439, 282, 12564, 840, 34955, 1423, 835, 5255, 16, 867, 1033, 14517, 16, 374, 14463, 14106, 808, 45192, 17451, 282, 20172, 334, 7940, 2509, 20944, 30, 43222, 19195, 8761, 1465, 289, 32049, 937, 36846, 334, 7168, 3429, 1876, 16, 367, 322, 334, 2200, 18, 1345, 28361, 2311, 4957, 16, 1548, 374, 492, 13903, 10285, 15442, 334, 11613, 24929, 16, 510, 17684, 2089, 5901, 478, 46088, 18, 8381, 470, 9541, 17, 22079, 457, 9827, 7974, 439, 10119, 21710, 18, 510, 1345, 7967, 282, 803, 1750, 15661, 13771, 19637, 477, 1963, 8006, 18, 1614, 12539, 8709, 41522, 1247, 381, 10762, 553, 14132, 1101, 861, 824, 505, 3163, 16, 3022, 26840, 38081, 8822, 334, 39840, 1147, 1350, 27586, 8709, 1623, 4775, 40189, 289, 14736, 281, 867, 16, 374, 282, 5049, 1045, 7065, 687, 18037, 1423, 5998, 289, 4126, 685, 322, 519, 3915, 360, 332, 1957, 18, 478, 17603, 7065, 36189, 3417, 443, 27154, 4500, 18, 33410, 14952, 2552, 5004, 16, 289, 2388, 13228, 5285, 4633, 910, 510, 22618, 10902, 269, 18, 1614, 12539, 7501, 3236, 16, 374, 29941, 8709, 9553, 9422, 23371, 282, 3436, 3763, 2791, 18, 478, 14102, 911, 2563, 306, 16, 374, 481, 42588, 349, 14909, 4957, 432, 8468, 289, 349, 28361, 3173, 9105, 18, 1178, 5003, 451, 4957, 685, 49549, 1578, 30833, 282, 2630, 281, 4080, 17, 3697, 25195, 477, 1963, 23232, 7336, 16, 502, 19961, 541, 22279, 542, 36222, 1003, 16, 453, 428, 23232, 4961, 29386, 15442, 16, 367, 10556, 349, 29734, 3589, 28361, 3173, 9105, 895, 4417, 1756, 687, 371, 28361, 4513, 9105, 30833, 749, 4700, 17, 3697, 4284, 18, 1178, 5825, 290, 970, 16, 374, 1551, 726, 13749, 5003, 451, 4957, 1097, 5966, 16, 834, 324, 16, 502, 289, 21600, 9235, 613, 290, 22279, 750, 46724, 16, 3848, 1223, 16, 840, 7052, 1569, 18, 2046, 1551, 6769, 6353, 5914, 10562, 12512, 36222, 282, 5118, 281, 12233, 16, 3761, 975, 422, 18, 816, 7536, 18930, 18, 30704, 16, 374, 11617, 22279, 542, 16, 935, 827, 678, 289, 840, 4417, 1756, 16, 322, 6245, 17471, 1293, 13289, 2634, 2791, 16, 453, 428, 541, 3662, 50054, 322, 39870, 22279, 564, 7658, 5769, 462, 508, 289, 46724, 18, 981, 289, 36216, 46724, 282, 36043, 25907, 309, 12846, 25994, 1352, 13144, 20394, 16, 367, 322, 309, 21597, 2357, 2059, 411, 4546, 910, 510, 49644, 6096, 7022, 1798, 1624, 30599, 2241, 478, 1916, 987, 291, 289, 42550, 276, 861, 824, 505, 3163, 16, 541, 924, 753, 16801, 1519, 8183, 8006, 428, 13771, 16253, 16, 22758, 2003, 840, 13076, 16, 374, 329, 1047, 685, 17142, 9055, 309, 8190, 670, 25780, 282, 28282, 18, 478, 684, 326, 645, 3404, 22758, 1324, 3589, 7059, 282, 970, 575, 2100, 16, 374, 289, 3619, 360, 8709, 18, 2787, 16, 374, 8811, 8709, 322, 36134, 6549, 1188, 697, 9565, 1525, 16, 510, 481, 322, 505, 8935, 18, 365, 21514, 1750, 349, 13771, 16253, 3711, 373, 14044, 10902, 483, 8502, 445, 16, 785, 23232, 6951, 5524, 2625, 20881, 360, 8709, 6549, 16, 4179, 724, 1245, 697, 38787, 910, 510, 26698, 30599, 18, 37831, 14971, 289, 4521, 25156, 16, 374, 2651, 2089, 5901, 23232, 4961, 457, 9827, 22111, 16, 753, 27636, 1938, 1595, 4788, 18, 9873, 13840, 8468, 9105, 309, 1169, 1038, 40751, 12330, 309, 2393, 15287, 18, 365, 4810, 16, 681, 5779, 20410, 39145, 37610, 16, 912, 12330, 309, 24804, 17474, 31745, 16, 5628, 541, 14002, 17, 429, 5967, 289, 453, 5287, 18, 478, 684, 6095, 16, 5906, 1512, 11680, 16, 374, 23452, 16, 4461, 21814, 1660, 17, 3697, 510, 481, 4461, 541, 30265, 1437, 18, 3747, 309, 2456, 2463, 281, 23452, 304, 1329, 7203, 481, 322, 2397, 18, 18154, 1247, 30, 942, 520, 481, 2048, 281, 41041, 38875, 35, 981, 16, 942, 16, 515, 481, 840, 8866, 453, 7376, 16, 367, 322, 8485, 2403, 18, 7594, 16, 961, 10481, 487, 322, 3336, 16, 30850, 445, 2248, 13108, 1030, 560, 18, 2876, 282, 5633, 808, 20419, 16258, 548, 16, 281, 2059, 1963, 16, 481, 37781 ]
[ 15571, 16, 515, 481, 322, 10201, 3356, 13411, 910, 510, 17684, 2388, 28267, 27636, 3444, 4770, 7179, 10872, 22026, 10712, 13185, 9715, 602, 298, 3841, 1492, 2, 1, 87, 1456, 81, 2448, 30, 2176, 13519, 11056, 16422, 13282, 13920, 1066, 16, 529, 6468, 3531, 40755, 16, 961, 2125, 898, 42139, 1086, 6287, 4676, 30063, 282, 3182, 2241, 18, 2046, 16, 428, 2669, 5106, 16, 12980, 322, 1494, 24706, 11129, 16, 289, 349, 2089, 5284, 282, 478, 26807, 2460, 263, 470, 4243, 1833, 1293, 39173, 6059, 18, 31224, 30, 45827, 1223, 8729, 1011, 24802, 507, 4090, 21501, 15028, 1465, 309, 33289, 289, 8667, 2438, 3665, 290, 970, 16, 374, 25410, 18045, 478, 673, 576, 470, 428, 309, 44032, 16, 453, 289, 309, 729, 946, 14882, 18, 365, 3178, 2299, 16422, 3225, 19338, 10784, 16, 515, 360, 38770, 37496, 9983, 481, 322, 4176, 435, 510, 428, 687, 10928, 1858, 1559, 8063, 16, 1382, 288, 1952, 4732, 33159, 309, 2410, 22070, 35623, 289, 7814, 34557, 617, 18, 365, 1177, 575, 1119, 16, 4016, 3990, 16, 2438, 3665, 290, 40449, 16992, 44846, 41326, 434, 27567, 1251, 16422, 289, 6607, 5659, 21016, 510, 16044, 38537, 29822, 16161, 16127, 17155, 23753, 16, 2700, 669, 1587, 41326, 18, 1178, 481, 3003, 6750, 341, 282, 3941, 16, 502, 2650, 895, 3118, 11011, 25903, 23819, 1409, 289, 23819, 1488, 282, 37681, 25836, 18, 26966, 5854, 16422, 15488, 16, 374, 3785, 32033, 11203, 349, 1617, 3018, 18, 824, 505, 3163, 16, 6607, 5659, 21016, 2733, 2175, 9414, 23796, 2904, 360, 1634, 478, 2810, 29067, 23535, 4211, 17, 24837, 4415, 861, 365, 9937, 4055, 3990, 16422, 3210, 36413, 10784, 281, 12673, 9381, 282, 19328, 38, 3967, 16, 4424, 371, 32886, 28174, 28783, 18, 478, 4348, 282, 11069, 924, 16, 374, 6711, 3400, 9983, 32917, 16141, 371, 3705, 281, 12673, 9381, 17, 807, 612, 6123, 11202, 11358, 16, 289, 656, 13475, 274, 3413, 349, 481, 18, 11824, 9983, 24408, 523, 19328, 23791, 4676, 12673, 9381, 910, 510, 6442, 282, 3781, 17, 12495, 18, 14654, 3419, 290, 19328, 38, 3967, 5982, 289, 19328, 38, 3967, 9905, 7475, 11826, 779, 16, 27713, 1639, 42346, 48982, 309, 478, 41107, 513, 564, 470, 19573, 301, 18, 967, 803, 3860, 281, 478, 807, 612, 6123, 470, 898, 289, 3255, 510, 453, 16, 3057, 16, 411, 17, 431, 8040, 6466, 13062, 16422, 3711, 9287, 9318, 41034, 26403, 28800, 4183, 289, 6740, 23087, 18, 740, 309, 18326, 18372, 16, 2486, 1320, 7820, 322, 24832, 3276, 16, 1542, 7938, 1055, 322, 23425, 18, 16577, 1272, 2299, 282, 5324, 7134, 14195, 16, 961, 2390, 802, 428, 478, 872, 2451, 470, 2193, 309, 23819, 7789, 510, 2174, 6429, 4139, 5267, 7356, 32585, 7063, 17155, 15921, 16, 1586, 840, 37386, 8087, 309, 29809, 680, 30104, 16422, 18, 1178, 10229, 30326, 14450, 290, 970, 16, 374, 3655, 23819, 12845, 16329, 668, 17905, 16, 24554, 7539, 282, 2671, 7515, 516, 10930, 668, 39254, 477, 830, 570, 13698, 901, 2608, 16, 502, 1976, 2523, 1601, 15370, 2826, 4987, 309, 7623, 18, 44631, 16422, 20165, 16907, 668, 8120, 622, 289, 322, 40115, 1976, 6761, 18, 365, 2241, 4452, 30030, 7193, 16, 14490, 549, 411, 16644, 25106, 17855, 983, 289, 24731, 1624, 1586, 8522, 30312, 349, 1702, 9340, 289, 9414, 21977, 9874, 8776, 1645, 3352, 290, 20134, 2304, 2662, 18, 30089, 301, 1947, 1967, 9799, 408, 8410, 9847, 411, 5136, 7723, 411, 16422, 18, 640, 1335, 575, 11056, 2438, 3665, 381, 32684, 2236, 411, 22912, 33844, 16422, 510, 4468, 287, 23248, 17376, 507, 1624, 1029, 1623, 17519, 5259, 3469, 2155, 2241, 18, 817, 396, 20211, 282, 16422, 281, 4479, 779, 16, 8022, 7892, 22990, 4126, 3690, 541, 23819, 289, 45372, 18, 40767, 4590, 10250, 19361, 895, 1852, 21729, 17192, 541, 478, 26807, 435, 1941, 470, 2241, 16, 14083, 42513, 5792, 18, 2949, 924, 16, 912, 14394, 16, 374, 505, 590, 429, 3391, 294, 1190, 3785, 40262, 18, 20012, 16, 374, 16422, 4195, 798, 29653, 10808, 4126, 4607, 16, 42315, 840, 3624, 309, 24420, 8972, 354, 26397, 18, 24114, 411, 3322, 6509, 1901, 13267, 360, 16422, 309, 1335, 11056, 1559, 3038, 2241, 360, 4981, 39558, 416, 22137, 541, 13660, 382, 9905, 52, 6638, 16, 1586, 906, 19452, 764, 1272, 779, 2158, 18, 889, 11260, 2993, 639, 12901, 1676, 519, 3437, 15297, 16422, 4933, 18, 8444, 8093, 309, 44724, 451, 3321, 16, 43009, 309, 30104, 35213, 16, 1029, 1655, 6820, 687, 309, 12159, 8677, 354, 18, 3863, 13695, 16480, 281, 16422, 6349, 516, 20011, 510, 1450, 3711, 26003, 10419, 360, 12526, 9905, 52, 6638, 16, 453, 428, 11260, 478, 404, 11450, 1635, 825, 5163, 552, 5366, 2241, 861, 824, 39394, 16, 6446, 14958, 453, 289, 322, 3225, 19338, 3860, 281, 7786, 1740, 304, 478, 523, 4811, 861, 1268, 4111, 9905, 52, 6638, 2756, 5577, 416, 289, 935, 17260, 26193, 541, 16422, 510, 4419, 3785, 2002, 322, 31194, 1190, 31129, 12294, 16, 367, 1011, 29788, 290, 970, 16, 374, 43292, 505, 282, 1805, 322, 9040, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 23702, 1175, 282, 38264, 4336, 341, 478, 38654, 2362, 470, 4652, 4843, 18442, 3763, 13840, 15706, 18, 1268, 4111, 42720, 349, 2273, 4032, 6005, 1133, 590, 23249, 16, 961, 25850, 22170, 38110, 282, 7143, 7179, 7462, 4173, 16, 2458, 3348, 411, 2644, 3203, 624, 1175, 282, 3320, 18, 31224, 30, 11825, 289, 24393, 17556, 381, 38545, 26150, 42720, 281, 13269, 6271, 371, 2273, 4032, 6005, 933, 590, 7724, 292, 16, 1109, 5037, 32422, 7597, 282, 3507, 34733, 660, 21139, 1508, 40499, 18, 478, 563, 44227, 349, 7674, 1254, 1747, 41868, 6025, 16, 428, 687, 3771, 4040, 11947, 38264, 225, 910, 510, 2815, 492, 309, 3781, 17, 19858, 282, 3507, 282, 10666, 18, 6698, 464, 675, 13269, 14925, 32948, 349, 1794, 4654, 660, 2234, 34776, 282, 439, 10300, 1248, 6551, 4609, 3236, 4652, 282, 4843, 24342, 3763, 18, 5602, 668, 2301, 1967, 4076, 473, 3927, 315, 4843, 18442, 3763, 13, 10047, 478, 38654, 2362, 861, 34733, 660, 21139, 1508, 40499, 9299, 16, 374, 282, 4675, 808, 282, 24393, 263, 9099, 35263, 41522, 282, 3106, 38360, 4568, 18, 478, 48466, 310, 373, 25329, 16, 374, 2388, 35263, 1494, 898, 289, 1747, 18, 1303, 2241, 16, 961, 22628, 467, 1195, 35463, 3217, 670, 8496, 2553, 16, 1494, 24259, 2388, 35263, 16, 515, 785, 4498, 32650, 290, 2273, 4032, 6005, 933, 590, 7724, 292, 16, 502, 656, 25684, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15571, 16, 515, 481, 322, 10201, 3356, 13411, 910, 510, 17684, 2388, 28267, 27636, 3444, 4770, 7179, 10872, 22026, 10712, 13185, 9715, 602, 298, 3841, 1492, 2, 1, 87, 1456, 81, 2448, 30, 2176, 13519, 11056, 16422, 13282, 13920, 1066, 16, 529, 6468, 3531, 40755, 16, 961, 2125, 898, 42139, 1086, 6287, 4676, 30063, 282, 3182, 2241, 18, 2046, 16, 428, 2669, 5106, 16, 12980, 322, 1494, 24706, 11129, 16, 289, 349, 2089, 5284, 282, 478, 26807, 2460, 263, 470, 4243, 1833, 1293, 39173, 6059, 18, 31224, 30, 45827, 1223, 8729, 1011, 24802, 507, 4090, 21501, 15028, 1465, 309, 33289, 289, 8667, 2438, 3665, 290, 970, 16, 374, 25410, 18045, 478, 673, 576, 470, 428, 309, 44032, 16, 453, 289, 309, 729, 946, 14882, 18, 365, 3178, 2299, 16422, 3225, 19338, 10784, 16, 515, 360, 38770, 37496, 9983, 481, 322, 4176, 435, 510, 428, 687, 10928, 1858, 1559, 8063, 16, 1382, 288, 1952, 4732, 33159, 309, 2410, 22070, 35623, 289, 7814, 34557, 617, 18, 365, 1177, 575, 1119, 16, 4016, 3990, 16, 2438, 3665, 290, 40449, 16992, 44846, 41326, 434, 27567, 1251, 16422, 289, 6607, 5659, 21016, 510, 16044, 38537, 29822, 16161, 16127, 17155, 23753, 16, 2700, 669, 1587, 41326, 18, 1178, 481, 3003, 6750, 341, 282, 3941, 16, 502, 2650, 895, 3118, 11011, 25903, 23819, 1409, 289, 23819, 1488, 282, 37681, 25836, 18, 26966, 5854, 16422, 15488, 16, 374, 3785, 32033, 11203, 349, 1617, 3018, 18, 824, 505, 3163, 16, 6607, 5659, 21016, 2733, 2175, 9414, 23796, 2904, 360, 1634, 478, 2810, 29067, 23535, 4211, 17, 24837, 4415, 861, 365, 9937, 4055, 3990, 16422, 3210, 36413, 10784, 281, 12673, 9381, 282, 19328, 38, 3967, 16, 4424, 371, 32886, 28174, 28783, 18, 478, 4348, 282, 11069, 924, 16, 374, 6711, 3400, 9983, 32917, 16141, 371, 3705, 281, 12673, 9381, 17, 807, 612, 6123, 11202, 11358, 16, 289, 656, 13475, 274, 3413, 349, 481, 18, 11824, 9983, 24408, 523, 19328, 23791, 4676, 12673, 9381, 910, 510, 6442, 282, 3781, 17, 12495, 18, 14654, 3419, 290, 19328, 38, 3967, 5982, 289, 19328, 38, 3967, 9905, 7475, 11826, 779, 16, 27713, 1639, 42346, 48982, 309, 478, 41107, 513, 564, 470, 19573, 301, 18, 967, 803, 3860, 281, 478, 807, 612, 6123, 470, 898, 289, 3255, 510, 453, 16, 3057, 16, 411, 17, 431, 8040, 6466, 13062, 16422, 3711, 9287, 9318, 41034, 26403, 28800, 4183, 289, 6740, 23087, 18, 740, 309, 18326, 18372, 16, 2486, 1320, 7820, 322, 24832, 3276, 16, 1542, 7938, 1055, 322, 23425, 18, 16577, 1272, 2299, 282, 5324, 7134, 14195, 16, 961, 2390, 802, 428, 478, 872, 2451, 470, 2193, 309, 23819, 7789, 510, 2174, 6429, 4139, 5267, 7356, 32585, 7063, 17155, 15921, 16, 1586, 840, 37386, 8087, 309, 29809, 680, 30104, 16422, 18, 1178, 10229, 30326, 14450, 290, 970, 16, 374, 3655, 23819, 12845, 16329, 668, 17905, 16, 24554, 7539, 282, 2671, 7515, 516, 10930, 668, 39254, 477, 830, 570, 13698, 901, 2608, 16, 502, 1976, 2523, 1601, 15370, 2826, 4987, 309, 7623, 18, 44631, 16422, 20165, 16907, 668, 8120, 622, 289, 322, 40115, 1976, 6761, 18, 365, 2241, 4452, 30030, 7193, 16, 14490, 549, 411, 16644, 25106, 17855, 983, 289, 24731, 1624, 1586, 8522, 30312, 349, 1702, 9340, 289, 9414, 21977, 9874, 8776, 1645, 3352, 290, 20134, 2304, 2662, 18, 30089, 301, 1947, 1967, 9799, 408, 8410, 9847, 411, 5136, 7723, 411, 16422, 18, 640, 1335, 575, 11056, 2438, 3665, 381, 32684, 2236, 411, 22912, 33844, 16422, 510, 4468, 287, 23248, 17376, 507, 1624, 1029, 1623, 17519, 5259, 3469, 2155, 2241, 18, 817, 396, 20211, 282, 16422, 281, 4479, 779, 16, 8022, 7892, 22990, 4126, 3690, 541, 23819, 289, 45372, 18, 40767, 4590, 10250, 19361, 895, 1852, 21729, 17192, 541, 478, 26807, 435, 1941, 470, 2241, 16, 14083, 42513, 5792, 18, 2949, 924, 16, 912, 14394, 16, 374, 505, 590, 429, 3391, 294, 1190, 3785, 40262, 18, 20012, 16, 374, 16422, 4195, 798, 29653, 10808, 4126, 4607, 16, 42315, 840, 3624, 309, 24420, 8972, 354, 26397, 18, 24114, 411, 3322, 6509, 1901, 13267, 360, 16422, 309, 1335, 11056, 1559, 3038, 2241, 360, 4981, 39558, 416, 22137, 541, 13660, 382, 9905, 52, 6638, 16, 1586, 906, 19452, 764, 1272, 779, 2158, 18, 889, 11260, 2993, 639, 12901, 1676, 519, 3437, 15297, 16422, 4933, 18, 8444, 8093, 309, 44724, 451, 3321, 16, 43009, 309, 30104, 35213, 16, 1029, 1655, 6820, 687, 309, 12159, 8677, 354, 18, 3863, 13695, 16480, 281, 16422, 6349, 516, 20011, 510, 1450, 3711, 26003, 10419, 360, 12526, 9905, 52, 6638, 16, 453, 428, 11260, 478, 404, 11450, 1635, 825, 5163, 552, 5366, 2241, 861, 824, 39394, 16, 6446, 14958, 453, 289, 322, 3225, 19338, 3860, 281, 7786, 1740, 304, 478, 523, 4811, 861, 1268, 4111, 9905, 52, 6638, 2756, 5577, 416, 289, 935, 17260, 26193, 541, 16422, 510, 4419, 3785, 2002, 322, 31194, 1190, 31129, 12294, 16, 367, 1011, 29788, 290, 970, 16, 374, 43292, 505, 282, 1805, 322, 9040, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 23702, 1175, 282, 38264, 4336, 341, 478, 38654, 2362, 470, 4652, 4843, 18442, 3763, 13840, 15706, 18, 1268, 4111, 42720, 349, 2273, 4032, 6005, 1133, 590, 23249, 16, 961, 25850, 22170, 38110, 282, 7143, 7179, 7462, 4173, 16, 2458, 3348, 411, 2644, 3203, 624, 1175, 282, 3320, 18, 31224, 30, 11825, 289, 24393, 17556, 381, 38545, 26150, 42720, 281, 13269, 6271, 371, 2273, 4032, 6005, 933, 590, 7724, 292, 16, 1109, 5037, 32422, 7597, 282, 3507, 34733, 660, 21139, 1508, 40499, 18, 478, 563, 44227, 349, 7674, 1254, 1747, 41868, 6025, 16, 428, 687, 3771, 4040, 11947, 38264, 225, 910, 510, 2815, 492, 309, 3781, 17, 19858, 282, 3507, 282, 10666, 18, 6698, 464, 675, 13269, 14925, 32948, 349, 1794, 4654, 660, 2234, 34776, 282, 439, 10300, 1248, 6551, 4609, 3236, 4652, 282, 4843, 24342, 3763, 18, 5602, 668, 2301, 1967, 4076, 473, 3927, 315, 4843, 18442, 3763, 13, 10047, 478, 38654, 2362, 861, 34733, 660, 21139, 1508, 40499, 9299, 16, 374, 282, 4675, 808, 282, 24393, 263, 9099, 35263, 41522, 282, 3106, 38360, 4568, 18, 478, 48466, 310, 373, 25329, 16, 374, 2388, 35263, 1494, 898, 289, 1747, 18, 1303, 2241, 16, 961, 22628, 467, 1195, 35463, 3217, 670, 8496, 2553, 16, 1494, 24259, 2388, 35263, 16, 515, 785, 4498, 32650, 290, 2273, 4032, 6005, 933, 590, 7724, 292, 16, 502, 656, 25684, 16 ]
[ 374, 870, 35263, 21309, 38360, 5862, 4004, 16, 1548, 374, 745, 32049, 3236, 687, 27383, 411, 2044, 7597, 910, 510, 9848, 21139, 1508, 40499, 18, 21102, 26446, 6187, 1185, 17402, 1418, 5105, 69, 1624, 22170, 16, 1586, 3989, 16768, 8140, 282, 38545, 2097, 1738, 345, 16, 27655, 399, 44760, 15613, 300, 282, 7522, 18582, 1177, 1247, 764, 282, 3998, 4120, 18, 740, 7835, 21377, 281, 26150, 381, 38545, 2097, 1738, 345, 2297, 483, 332, 6086, 3225, 687, 282, 2343, 13519, 5576, 18, 365, 19953, 11946, 1011, 5790, 282, 40315, 281, 9444, 7597, 2615, 9541, 17, 24339, 7179, 5439, 7550, 14708, 36355, 2815, 16, 374, 39588, 281, 24393, 304, 334, 6750, 3707, 1175, 567, 15602, 668, 4281, 516, 15740, 44709, 18, 26468, 28141, 282, 38264, 16, 334, 505, 25036, 16, 24687, 2364, 779, 18, 478, 822, 31591, 5768, 334, 13174, 1147, 32084, 26768, 2273, 4032, 6005, 933, 25708, 12208, 519, 11335, 6309, 360, 697, 43500, 542, 906, 45939, 764, 282, 8151, 6383, 17, 292, 910, 384, 12016, 9216, 22029, 346, 6660, 478, 618, 8270, 11800, 470, 7974, 43360, 944, 512, 18, 740, 411, 17, 431, 322, 2499, 2676, 6466, 6688, 7597, 334, 11135, 23925, 1175, 282, 38264, 19186, 12483, 322, 34604, 4646, 6406, 17586, 12735, 18, 3739, 322, 453, 2944, 3569, 32721, 289, 7597, 5780, 1472, 290, 24831, 2926, 18293, 2097, 1738, 345, 18, 2877, 16, 785, 4957, 5768, 281, 7597, 334, 38264, 45939, 16, 3771, 8093, 309, 1033, 13095, 1924, 12182, 18, 3771, 2332, 23925, 282, 38264, 9013, 8538, 309, 14887, 48822, 334, 13505, 7546, 510, 322, 687, 334, 7218, 1147, 3357, 8546, 16, 515, 289, 334, 46069, 23648, 18, 5890, 1314, 10848, 45900, 448, 46964, 371, 25903, 263, 15038, 9919, 434, 4981, 16995, 687, 282, 1110, 38288, 292, 16, 988, 20783, 3626, 5447, 938, 7124, 39805, 21890, 2159, 13608, 16, 12016, 43360, 426, 512, 18, 478, 19571, 4990, 45147, 11738, 895, 15438, 13965, 17462, 1452, 519, 1409, 384, 2783, 9, 910, 510, 2548, 12189, 18, 365, 3569, 7971, 409, 411, 32362, 2097, 1738, 345, 3084, 19524, 322, 6977, 18, 478, 7448, 367, 374, 2240, 35, 981, 16, 656, 20310, 2364, 2555, 9, 360, 7343, 12512, 2097, 1738, 345, 18, 47475, 6884, 309, 4672, 10084, 2480, 1066, 289, 24552, 25683, 14561, 15440, 16, 510, 2548, 7897, 478, 32485, 18, 8381, 470, 282, 27246, 18, 510, 740, 478, 38654, 2362, 272, 470, 6353, 5992, 861, 365, 8151, 6705, 779, 45940, 47377, 7583, 22170, 17711, 42593, 512, 2815, 16, 374, 749, 2097, 1738, 345, 478, 38654, 2362, 470, 726, 5270, 986, 685, 373, 13155, 34795, 42431, 18, 5181, 16, 371, 803, 13204, 16, 374, 282, 13673, 3142, 7462, 2572, 28024, 453, 9795, 12703, 1423, 2768, 16, 374, 360, 4111, 2097, 1738, 345, 322, 4040, 541, 22170, 8569, 32502, 18, 1012, 344, 2147, 478, 38654, 8366, 470, 282, 803, 1045, 14481, 4843, 24, 16, 22, 5096, 16, 10050, 41330, 38872, 478, 618, 2467, 470, 1614, 11570, 1789, 464, 23189, 291, 18, 2787, 16, 374, 10047, 478, 38654, 2362, 470, 360, 14925, 32948, 16, 7294, 1587, 334, 2273, 4032, 6005, 1703, 6759, 2675, 16, 4896, 2619, 1409, 9, 360, 1335, 12512, 18, 478, 31779, 485, 11583, 10933, 22170, 510, 715, 27, 16, 478, 45256, 470, 1624, 1770, 56, 6504, 510, 8748, 1867, 749, 2097, 1738, 345, 16, 510, 2548, 12189, 18, 510, 1012, 675, 577, 289, 478, 38654, 2362, 861, 478, 677, 7814, 1335, 5628, 15706, 28022, 7462, 2572, 37396, 497, 356, 31763, 6138, 3320, 26004, 4202, 289, 35254, 19210, 16, 367, 1038, 48686, 341, 11608, 16, 3057, 16, 322, 4116, 7556, 840, 23095, 874, 10950, 16, 515, 371, 803, 475, 3066, 8633, 3500, 7468, 11024, 910, 510, 38721, 43360, 944, 512, 18, 2, 1, 87, 1456, 81, 2448, 30, 9676, 576, 3665, 290, 3422, 11138, 7179, 36341, 7545, 5540, 18339, 13512, 4879, 2151, 18746, 18, 3695, 17, 7745, 11471, 7777, 411, 1354, 4055, 3750, 16, 6442, 282, 3320, 41598, 1149, 2724, 41654, 18, 34608, 3422, 2151, 18746, 309, 5734, 2083, 48885, 18, 31224, 30, 682, 20786, 309, 4039, 3750, 2438, 3665, 290, 3422, 36341, 7545, 5540, 18339, 13512, 4879, 2151, 18746, 16, 1029, 7777, 411, 1354, 282, 7353, 3695, 779, 18, 365, 3320, 41598, 1149, 2724, 41654, 16, 281, 1754, 329, 11138, 41816, 685, 11389, 16, 6442, 16, 374, 9080, 39900, 309, 5734, 2083, 4511, 12744, 18, 999, 1423, 2886, 15350, 14261, 30522, 30682, 282, 790, 354, 27007, 5270, 2566, 371, 1949, 5157, 4912, 289, 19575, 38004, 14007, 718, 46612, 41598, 12747, 33559, 282, 4145, 1045, 16, 367, 1038, 15097, 282, 19843, 334, 583, 612, 478, 672, 2362, 1311, 715, 17, 6695, 470, 282, 7847, 1045, 18, 30233, 2615, 3800, 282, 41598, 18161, 375, 7609, 1409, 4189, 4145, 779, 289, 282, 4301, 8600, 786, 10497, 17, 47, 494, 84, 40668, 376, 41598, 12747, 33559, 1658, 567, 7422, 36493, 4426, 4372, 10321, 35328, 25186, 473, 795, 394, 13, 21035, 19753, 33662, 46850, 5014, 301, 1243, 264, 18, 365, 5421, 445, 18161, 375, 6181, 282, 32076, 726, 1061, 4160, 924, 575, 779, 309, 786, 10497, 17, 47, 494, 84, 40668, 41598, 12747, 33559, 1533, 16, 988, 2180, 4616, 536, 14620, 17771, 483, 19121, 310, 334, 8872, 1949, 4256, 25822, 432, 20237, 2169, 2242, 19642, 775, 718, 36341, 18333, 324, 6470, 357, 3340, 16, 541, 2024, 502, 13270, 519, 4319, 1326, 1623, 12181, 282, 421, 12868, 18, 4518, 3802, 18161, 375, 30956, 14007, 778, 4437, 309, 786, 10497, 17, 47, 494, 84, 40668, 41598, 12747, 33559, 4145, 1149, 5293, 16, 558, 3979, 1223, 349, 491, 30, 8976, 1038, 2390, 2989, 6551, 47546, 807, 440, 287, 421, 5847, 578, 401, 18, 17919, 16410, 38483, 13512, 12671, 4426, 4372, 10321, 35328, 25186, 1011, 7756, 16602, 18, 1281, 3990, 7847, 779, 18161, 375, 3332, 706, 309, 786, 10497, 17, 47, 494, 84, 40668, 41598, 12747, 33559, 1912, 281, 764, 3348, 17234, 3800, 5411, 8548, 3032, 602, 288, 487, 323, 726, 282, 959, 1707, 13278, 547, 35107, 289, 17060, 505, 2180, 4616, 536, 14620, 19142, 18, 365, 11671, 12118, 16, 1488, 4160, 5237, 1961, 301, 11458, 779, 16, 309, 12552, 715, 17, 6695, 7931, 1050, 5766, 69, 715, 17, 6695, 7847, 18161, 375, 19121, 310, 349, 1421, 40793, 15836, 431, 27655, 2503, 5402, 405, 16, 515, 33513, 282, 1949, 1634, 14183, 12496, 1165, 18, 365, 12354, 7847, 779, 282, 1217, 868, 3509, 476, 8600, 860, 17, 21, 2487 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 374, 870, 35263, 21309, 38360, 5862, 4004, 16, 1548, 374, 745, 32049, 3236, 687, 27383, 411, 2044, 7597, 910, 510, 9848, 21139, 1508, 40499, 18, 21102, 26446, 6187, 1185, 17402, 1418, 5105, 69, 1624, 22170, 16, 1586, 3989, 16768, 8140, 282, 38545, 2097, 1738, 345, 16, 27655, 399, 44760, 15613, 300, 282, 7522, 18582, 1177, 1247, 764, 282, 3998, 4120, 18, 740, 7835, 21377, 281, 26150, 381, 38545, 2097, 1738, 345, 2297, 483, 332, 6086, 3225, 687, 282, 2343, 13519, 5576, 18, 365, 19953, 11946, 1011, 5790, 282, 40315, 281, 9444, 7597, 2615, 9541, 17, 24339, 7179, 5439, 7550, 14708, 36355, 2815, 16, 374, 39588, 281, 24393, 304, 334, 6750, 3707, 1175, 567, 15602, 668, 4281, 516, 15740, 44709, 18, 26468, 28141, 282, 38264, 16, 334, 505, 25036, 16, 24687, 2364, 779, 18, 478, 822, 31591, 5768, 334, 13174, 1147, 32084, 26768, 2273, 4032, 6005, 933, 25708, 12208, 519, 11335, 6309, 360, 697, 43500, 542, 906, 45939, 764, 282, 8151, 6383, 17, 292, 910, 384, 12016, 9216, 22029, 346, 6660, 478, 618, 8270, 11800, 470, 7974, 43360, 944, 512, 18, 740, 411, 17, 431, 322, 2499, 2676, 6466, 6688, 7597, 334, 11135, 23925, 1175, 282, 38264, 19186, 12483, 322, 34604, 4646, 6406, 17586, 12735, 18, 3739, 322, 453, 2944, 3569, 32721, 289, 7597, 5780, 1472, 290, 24831, 2926, 18293, 2097, 1738, 345, 18, 2877, 16, 785, 4957, 5768, 281, 7597, 334, 38264, 45939, 16, 3771, 8093, 309, 1033, 13095, 1924, 12182, 18, 3771, 2332, 23925, 282, 38264, 9013, 8538, 309, 14887, 48822, 334, 13505, 7546, 510, 322, 687, 334, 7218, 1147, 3357, 8546, 16, 515, 289, 334, 46069, 23648, 18, 5890, 1314, 10848, 45900, 448, 46964, 371, 25903, 263, 15038, 9919, 434, 4981, 16995, 687, 282, 1110, 38288, 292, 16, 988, 20783, 3626, 5447, 938, 7124, 39805, 21890, 2159, 13608, 16, 12016, 43360, 426, 512, 18, 478, 19571, 4990, 45147, 11738, 895, 15438, 13965, 17462, 1452, 519, 1409, 384, 2783, 9, 910, 510, 2548, 12189, 18, 365, 3569, 7971, 409, 411, 32362, 2097, 1738, 345, 3084, 19524, 322, 6977, 18, 478, 7448, 367, 374, 2240, 35, 981, 16, 656, 20310, 2364, 2555, 9, 360, 7343, 12512, 2097, 1738, 345, 18, 47475, 6884, 309, 4672, 10084, 2480, 1066, 289, 24552, 25683, 14561, 15440, 16, 510, 2548, 7897, 478, 32485, 18, 8381, 470, 282, 27246, 18, 510, 740, 478, 38654, 2362, 272, 470, 6353, 5992, 861, 365, 8151, 6705, 779, 45940, 47377, 7583, 22170, 17711, 42593, 512, 2815, 16, 374, 749, 2097, 1738, 345, 478, 38654, 2362, 470, 726, 5270, 986, 685, 373, 13155, 34795, 42431, 18, 5181, 16, 371, 803, 13204, 16, 374, 282, 13673, 3142, 7462, 2572, 28024, 453, 9795, 12703, 1423, 2768, 16, 374, 360, 4111, 2097, 1738, 345, 322, 4040, 541, 22170, 8569, 32502, 18, 1012, 344, 2147, 478, 38654, 8366, 470, 282, 803, 1045, 14481, 4843, 24, 16, 22, 5096, 16, 10050, 41330, 38872, 478, 618, 2467, 470, 1614, 11570, 1789, 464, 23189, 291, 18, 2787, 16, 374, 10047, 478, 38654, 2362, 470, 360, 14925, 32948, 16, 7294, 1587, 334, 2273, 4032, 6005, 1703, 6759, 2675, 16, 4896, 2619, 1409, 9, 360, 1335, 12512, 18, 478, 31779, 485, 11583, 10933, 22170, 510, 715, 27, 16, 478, 45256, 470, 1624, 1770, 56, 6504, 510, 8748, 1867, 749, 2097, 1738, 345, 16, 510, 2548, 12189, 18, 510, 1012, 675, 577, 289, 478, 38654, 2362, 861, 478, 677, 7814, 1335, 5628, 15706, 28022, 7462, 2572, 37396, 497, 356, 31763, 6138, 3320, 26004, 4202, 289, 35254, 19210, 16, 367, 1038, 48686, 341, 11608, 16, 3057, 16, 322, 4116, 7556, 840, 23095, 874, 10950, 16, 515, 371, 803, 475, 3066, 8633, 3500, 7468, 11024, 910, 510, 38721, 43360, 944, 512, 18, 2, 1, 87, 1456, 81, 2448, 30, 9676, 576, 3665, 290, 3422, 11138, 7179, 36341, 7545, 5540, 18339, 13512, 4879, 2151, 18746, 18, 3695, 17, 7745, 11471, 7777, 411, 1354, 4055, 3750, 16, 6442, 282, 3320, 41598, 1149, 2724, 41654, 18, 34608, 3422, 2151, 18746, 309, 5734, 2083, 48885, 18, 31224, 30, 682, 20786, 309, 4039, 3750, 2438, 3665, 290, 3422, 36341, 7545, 5540, 18339, 13512, 4879, 2151, 18746, 16, 1029, 7777, 411, 1354, 282, 7353, 3695, 779, 18, 365, 3320, 41598, 1149, 2724, 41654, 16, 281, 1754, 329, 11138, 41816, 685, 11389, 16, 6442, 16, 374, 9080, 39900, 309, 5734, 2083, 4511, 12744, 18, 999, 1423, 2886, 15350, 14261, 30522, 30682, 282, 790, 354, 27007, 5270, 2566, 371, 1949, 5157, 4912, 289, 19575, 38004, 14007, 718, 46612, 41598, 12747, 33559, 282, 4145, 1045, 16, 367, 1038, 15097, 282, 19843, 334, 583, 612, 478, 672, 2362, 1311, 715, 17, 6695, 470, 282, 7847, 1045, 18, 30233, 2615, 3800, 282, 41598, 18161, 375, 7609, 1409, 4189, 4145, 779, 289, 282, 4301, 8600, 786, 10497, 17, 47, 494, 84, 40668, 376, 41598, 12747, 33559, 1658, 567, 7422, 36493, 4426, 4372, 10321, 35328, 25186, 473, 795, 394, 13, 21035, 19753, 33662, 46850, 5014, 301, 1243, 264, 18, 365, 5421, 445, 18161, 375, 6181, 282, 32076, 726, 1061, 4160, 924, 575, 779, 309, 786, 10497, 17, 47, 494, 84, 40668, 41598, 12747, 33559, 1533, 16, 988, 2180, 4616, 536, 14620, 17771, 483, 19121, 310, 334, 8872, 1949, 4256, 25822, 432, 20237, 2169, 2242, 19642, 775, 718, 36341, 18333, 324, 6470, 357, 3340, 16, 541, 2024, 502, 13270, 519, 4319, 1326, 1623, 12181, 282, 421, 12868, 18, 4518, 3802, 18161, 375, 30956, 14007, 778, 4437, 309, 786, 10497, 17, 47, 494, 84, 40668, 41598, 12747, 33559, 4145, 1149, 5293, 16, 558, 3979, 1223, 349, 491, 30, 8976, 1038, 2390, 2989, 6551, 47546, 807, 440, 287, 421, 5847, 578, 401, 18, 17919, 16410, 38483, 13512, 12671, 4426, 4372, 10321, 35328, 25186, 1011, 7756, 16602, 18, 1281, 3990, 7847, 779, 18161, 375, 3332, 706, 309, 786, 10497, 17, 47, 494, 84, 40668, 41598, 12747, 33559, 1912, 281, 764, 3348, 17234, 3800, 5411, 8548, 3032, 602, 288, 487, 323, 726, 282, 959, 1707, 13278, 547, 35107, 289, 17060, 505, 2180, 4616, 536, 14620, 19142, 18, 365, 11671, 12118, 16, 1488, 4160, 5237, 1961, 301, 11458, 779, 16, 309, 12552, 715, 17, 6695, 7931, 1050, 5766, 69, 715, 17, 6695, 7847, 18161, 375, 19121, 310, 349, 1421, 40793, 15836, 431, 27655, 2503, 5402, 405, 16, 515, 33513, 282, 1949, 1634, 14183, 12496, 1165, 18, 365, 12354, 7847, 779, 282, 1217, 868, 3509, 476, 8600, 860, 17, 21, 2487 ]
[ 1959, 33855, 25926, 1939, 26073, 87, 593, 860, 16124, 18161, 375, 25469, 282, 2343, 6740, 40793, 32117, 35328, 20472, 8450, 263, 504, 717, 19137, 1624, 367, 282, 11500, 6705, 779, 309, 1075, 29761, 20087, 769, 3104, 74, 2724, 657, 16426, 1223, 349, 1281, 7264, 33513, 10656, 19753, 569, 3033, 510, 10468, 5123, 3584, 466, 18611, 272, 18, 21683, 6705, 779, 25510, 282, 5897, 13882, 12118, 17914, 282, 38300, 17, 324, 17, 26148, 16, 988, 10786, 22318, 39488, 281, 16052, 36087, 287, 16, 21035, 504, 337, 507, 12055, 401, 16, 289, 1143, 282, 790, 354, 27007, 18161, 375, 281, 1110, 1326, 322, 31715, 18, 4756, 8846, 16, 374, 3203, 2417, 8904, 4551, 24349, 7811, 1175, 473, 49959, 14796, 13, 289, 10344, 9680, 9526, 4966, 1034, 28236, 7323, 1637, 42079, 16342, 282, 7353, 20391, 986, 18, 3791, 1293, 2868, 2158, 282, 4845, 680, 1767, 282, 9510, 685, 17005, 637, 8851, 30522, 7545, 5540, 18339, 10162, 7586, 421, 12868, 47558, 528, 562, 4083, 18, 38431, 11540, 567, 808, 36588, 3703, 3750, 282, 49406, 1941, 16, 988, 43451, 706, 13013, 281, 12070, 4335, 1135, 18, 824, 3163, 37829, 16, 1176, 411, 23036, 10760, 9234, 289, 2780, 15894, 18, 13268, 1293, 8315, 11596, 282, 2555, 17, 11884, 528, 562, 23427, 16, 329, 2024, 371, 4808, 1212, 641, 16235, 366, 4543, 898, 23076, 30056, 17251, 17706, 5430, 16, 49393, 289, 42219, 18, 3791, 27827, 16, 374, 282, 41938, 21036, 764, 1176, 1135, 16, 35474, 41622, 16, 515, 10211, 290, 1888, 18581, 322, 13120, 18, 29827, 368, 21396, 309, 21031, 16, 289, 1314, 505, 19547, 37972, 9597, 18, 824, 19983, 13229, 726, 18966, 1743, 381, 16765, 18, 478, 46873, 7808, 8851, 30522, 2759, 4966, 16, 656, 9271, 966, 505, 428, 20312, 22895, 289, 27581, 434, 10431, 18, 3791, 11843, 9923, 16, 374, 322, 1513, 31042, 282, 21146, 16, 1548, 374, 745, 3891, 13195, 530, 519, 322, 33865, 924, 16959, 18, 46472, 927, 965, 16, 1696, 1304, 10441, 4431, 289, 6956, 16, 367, 1588, 827, 939, 5425, 27947, 16, 502, 744, 4565, 357, 309, 1702, 268, 1484, 910, 510, 13202, 4110, 4913, 1728, 36341, 282, 16690, 860, 16124, 16, 988, 11391, 528, 562, 4083, 18, 740, 3818, 32361, 536, 15506, 304, 282, 2968, 7545, 3314, 45921, 366, 1175, 282, 4101, 4701, 2458, 22807, 4027, 1770, 25431, 5835, 818, 807, 28911, 429, 3924, 383, 401, 294, 39234, 28455, 478, 630, 13753, 309, 5164, 910, 1537, 26779, 434, 282, 23181, 10731, 18, 29556, 490, 8861, 309, 13297, 415, 1549, 8566, 478, 11415, 392, 21602, 470, 289, 17602, 360, 11944, 6664, 5134, 7272, 18, 22568, 4618, 2156, 33512, 36912, 16, 374, 34991, 722, 3711, 935, 3781, 17, 12206, 2243, 4830, 1175, 9001, 9620, 50066, 26334, 272, 1624, 2394, 342, 12640, 478, 272, 342, 1676, 32345, 8819, 12466, 2553, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 14745, 10502, 36618, 26565, 2084, 410, 16, 2056, 1779, 309, 26962, 17907, 8735, 478, 13762, 45836, 468, 17, 28028, 470, 2123, 17, 263, 1756, 16, 14441, 695, 9473, 10919, 35070, 282, 1175, 16, 4813, 309, 13607, 16, 334, 505, 3163, 16, 32878, 18, 1870, 37977, 3221, 1737, 18804, 282, 2759, 4008, 281, 478, 28922, 323, 14939, 861, 31224, 30, 1140, 2247, 742, 12672, 10801, 8735, 478, 13762, 45836, 468, 17, 28028, 470, 360, 2665, 26565, 2084, 410, 9473, 17884, 282, 1175, 16, 1830, 492, 726, 19195, 8369, 281, 18951, 45989, 18, 1870, 37977, 4848, 16, 374, 19195, 32878, 23683, 16, 428, 309, 2923, 1175, 16, 453, 289, 282, 14039, 18, 478, 1295, 1166, 16, 4292, 13243, 510, 13231, 1527, 37213, 394, 16, 510, 7332, 1694, 48025, 478, 37291, 6980, 861, 510, 2387, 16, 2091, 16, 322, 2447, 18, 889, 502, 575, 3240, 541, 703, 16, 428, 1139, 20467, 39110, 861, 365, 1423, 3678, 583, 26565, 2084, 410, 27834, 16, 374, 322, 9733, 4153, 4138, 1423, 3658, 4846, 5998, 281, 27725, 18, 478, 4441, 4618, 322, 3476, 34383, 18, 629, 16773, 322, 2447, 8952, 8392, 16, 367, 1122, 722, 939, 1269, 16, 510, 4848, 25372, 18, 510, 2465, 3073, 16, 481, 4703, 22782, 16, 828, 11338, 17, 296, 15617, 18, 14078, 478, 911, 26462, 470, 541, 703, 510, 939, 2485, 2844, 3702, 18, 1937, 334, 478, 274, 28090, 470, 44340, 343, 1719, 309, 374, 17, 299, 2174, 16, 502, 4560, 16, 374, 417, 1329, 322, 4560, 18, 629, 373, 16, 475, 17, 2767, 16, 322, 5678, 282, 13354, 18, 889, 1588, 939, 21048, 541, 703, 861, 640, 478, 13762, 45836, 763, 470, 26565, 2084, 410, 1196, 811, 282, 23356, 16, 988, 12307, 2123, 17, 263, 1756, 411, 4016, 17, 345, 18, 7249, 309, 6441, 282, 17281, 11053, 30423, 16, 19187, 48025, 309, 22993, 6353, 48593, 18, 365, 13673, 16741, 492, 42675, 282, 12652, 547, 11338, 478, 10393, 486, 8460, 861, 415, 673, 286, 17, 4013, 269, 8192, 309, 38544, 761, 6394, 282, 11379, 18, 2124, 38322, 15769, 27997, 1519, 309, 1720, 798, 876, 4357, 9577, 962, 18, 999, 1119, 519, 1728, 11815, 26565, 2084, 410, 4848, 309, 38246, 290, 1634, 3921, 4912, 360, 478, 13762, 45836, 427, 470, 289, 4725, 25091, 668, 18081, 10801, 18, 478, 677, 18161, 507, 296, 913, 906, 939, 3202, 3407, 23822, 16, 813, 11723, 16831, 16, 510, 1109, 25372, 18, 510, 8276, 7946, 16, 374, 2406, 477, 2924, 906, 3476, 7193, 24431, 6722, 16, 309, 1639, 1494, 942, 48479, 18, 21484, 1719, 16, 685, 2083, 16, 785, 417, 349, 42455, 4887, 7150, 5640, 4041, 360, 10665, 428, 6511, 18, 1192, 406, 49338, 496, 906, 18211, 16, 289, 417, 939, 41350, 16, 785, 6980, 11642, 1335, 4008, 1912, 23651, 861, 817, 1038, 9299, 16, 374, 4302, 26177, 567, 808, 10801, 329, 1047, 322, 639, 18, 26565, 2084, 410, 16, 1726, 2728, 290, 478, 13762, 45836, 763, 910, 22045, 1293, 1479, 5473, 40387, 6152, 28943, 39723, 309, 22993, 18, 478, 1140, 813, 1143, 43652, 16, 1851, 17, 299, 3465, 382, 18, 608, 813, 4136, 17, 299, 41804, 2232, 43508, 16, 1269, 25182, 16, 510, 2815, 36618, 18, 510, 3026, 481, 3621, 334, 17, 15253, 18, 889, 1139, 9288, 18, 1303, 29918, 16, 8552, 1886, 16, 6979, 467, 16, 15373, 28973, 289, 23875, 1886, 2184, 510, 773, 1904, 18, 608, 813, 481, 478, 28977, 46149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1959, 33855, 25926, 1939, 26073, 87, 593, 860, 16124, 18161, 375, 25469, 282, 2343, 6740, 40793, 32117, 35328, 20472, 8450, 263, 504, 717, 19137, 1624, 367, 282, 11500, 6705, 779, 309, 1075, 29761, 20087, 769, 3104, 74, 2724, 657, 16426, 1223, 349, 1281, 7264, 33513, 10656, 19753, 569, 3033, 510, 10468, 5123, 3584, 466, 18611, 272, 18, 21683, 6705, 779, 25510, 282, 5897, 13882, 12118, 17914, 282, 38300, 17, 324, 17, 26148, 16, 988, 10786, 22318, 39488, 281, 16052, 36087, 287, 16, 21035, 504, 337, 507, 12055, 401, 16, 289, 1143, 282, 790, 354, 27007, 18161, 375, 281, 1110, 1326, 322, 31715, 18, 4756, 8846, 16, 374, 3203, 2417, 8904, 4551, 24349, 7811, 1175, 473, 49959, 14796, 13, 289, 10344, 9680, 9526, 4966, 1034, 28236, 7323, 1637, 42079, 16342, 282, 7353, 20391, 986, 18, 3791, 1293, 2868, 2158, 282, 4845, 680, 1767, 282, 9510, 685, 17005, 637, 8851, 30522, 7545, 5540, 18339, 10162, 7586, 421, 12868, 47558, 528, 562, 4083, 18, 38431, 11540, 567, 808, 36588, 3703, 3750, 282, 49406, 1941, 16, 988, 43451, 706, 13013, 281, 12070, 4335, 1135, 18, 824, 3163, 37829, 16, 1176, 411, 23036, 10760, 9234, 289, 2780, 15894, 18, 13268, 1293, 8315, 11596, 282, 2555, 17, 11884, 528, 562, 23427, 16, 329, 2024, 371, 4808, 1212, 641, 16235, 366, 4543, 898, 23076, 30056, 17251, 17706, 5430, 16, 49393, 289, 42219, 18, 3791, 27827, 16, 374, 282, 41938, 21036, 764, 1176, 1135, 16, 35474, 41622, 16, 515, 10211, 290, 1888, 18581, 322, 13120, 18, 29827, 368, 21396, 309, 21031, 16, 289, 1314, 505, 19547, 37972, 9597, 18, 824, 19983, 13229, 726, 18966, 1743, 381, 16765, 18, 478, 46873, 7808, 8851, 30522, 2759, 4966, 16, 656, 9271, 966, 505, 428, 20312, 22895, 289, 27581, 434, 10431, 18, 3791, 11843, 9923, 16, 374, 322, 1513, 31042, 282, 21146, 16, 1548, 374, 745, 3891, 13195, 530, 519, 322, 33865, 924, 16959, 18, 46472, 927, 965, 16, 1696, 1304, 10441, 4431, 289, 6956, 16, 367, 1588, 827, 939, 5425, 27947, 16, 502, 744, 4565, 357, 309, 1702, 268, 1484, 910, 510, 13202, 4110, 4913, 1728, 36341, 282, 16690, 860, 16124, 16, 988, 11391, 528, 562, 4083, 18, 740, 3818, 32361, 536, 15506, 304, 282, 2968, 7545, 3314, 45921, 366, 1175, 282, 4101, 4701, 2458, 22807, 4027, 1770, 25431, 5835, 818, 807, 28911, 429, 3924, 383, 401, 294, 39234, 28455, 478, 630, 13753, 309, 5164, 910, 1537, 26779, 434, 282, 23181, 10731, 18, 29556, 490, 8861, 309, 13297, 415, 1549, 8566, 478, 11415, 392, 21602, 470, 289, 17602, 360, 11944, 6664, 5134, 7272, 18, 22568, 4618, 2156, 33512, 36912, 16, 374, 34991, 722, 3711, 935, 3781, 17, 12206, 2243, 4830, 1175, 9001, 9620, 50066, 26334, 272, 1624, 2394, 342, 12640, 478, 272, 342, 1676, 32345, 8819, 12466, 2553, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 14745, 10502, 36618, 26565, 2084, 410, 16, 2056, 1779, 309, 26962, 17907, 8735, 478, 13762, 45836, 468, 17, 28028, 470, 2123, 17, 263, 1756, 16, 14441, 695, 9473, 10919, 35070, 282, 1175, 16, 4813, 309, 13607, 16, 334, 505, 3163, 16, 32878, 18, 1870, 37977, 3221, 1737, 18804, 282, 2759, 4008, 281, 478, 28922, 323, 14939, 861, 31224, 30, 1140, 2247, 742, 12672, 10801, 8735, 478, 13762, 45836, 468, 17, 28028, 470, 360, 2665, 26565, 2084, 410, 9473, 17884, 282, 1175, 16, 1830, 492, 726, 19195, 8369, 281, 18951, 45989, 18, 1870, 37977, 4848, 16, 374, 19195, 32878, 23683, 16, 428, 309, 2923, 1175, 16, 453, 289, 282, 14039, 18, 478, 1295, 1166, 16, 4292, 13243, 510, 13231, 1527, 37213, 394, 16, 510, 7332, 1694, 48025, 478, 37291, 6980, 861, 510, 2387, 16, 2091, 16, 322, 2447, 18, 889, 502, 575, 3240, 541, 703, 16, 428, 1139, 20467, 39110, 861, 365, 1423, 3678, 583, 26565, 2084, 410, 27834, 16, 374, 322, 9733, 4153, 4138, 1423, 3658, 4846, 5998, 281, 27725, 18, 478, 4441, 4618, 322, 3476, 34383, 18, 629, 16773, 322, 2447, 8952, 8392, 16, 367, 1122, 722, 939, 1269, 16, 510, 4848, 25372, 18, 510, 2465, 3073, 16, 481, 4703, 22782, 16, 828, 11338, 17, 296, 15617, 18, 14078, 478, 911, 26462, 470, 541, 703, 510, 939, 2485, 2844, 3702, 18, 1937, 334, 478, 274, 28090, 470, 44340, 343, 1719, 309, 374, 17, 299, 2174, 16, 502, 4560, 16, 374, 417, 1329, 322, 4560, 18, 629, 373, 16, 475, 17, 2767, 16, 322, 5678, 282, 13354, 18, 889, 1588, 939, 21048, 541, 703, 861, 640, 478, 13762, 45836, 763, 470, 26565, 2084, 410, 1196, 811, 282, 23356, 16, 988, 12307, 2123, 17, 263, 1756, 411, 4016, 17, 345, 18, 7249, 309, 6441, 282, 17281, 11053, 30423, 16, 19187, 48025, 309, 22993, 6353, 48593, 18, 365, 13673, 16741, 492, 42675, 282, 12652, 547, 11338, 478, 10393, 486, 8460, 861, 415, 673, 286, 17, 4013, 269, 8192, 309, 38544, 761, 6394, 282, 11379, 18, 2124, 38322, 15769, 27997, 1519, 309, 1720, 798, 876, 4357, 9577, 962, 18, 999, 1119, 519, 1728, 11815, 26565, 2084, 410, 4848, 309, 38246, 290, 1634, 3921, 4912, 360, 478, 13762, 45836, 427, 470, 289, 4725, 25091, 668, 18081, 10801, 18, 478, 677, 18161, 507, 296, 913, 906, 939, 3202, 3407, 23822, 16, 813, 11723, 16831, 16, 510, 1109, 25372, 18, 510, 8276, 7946, 16, 374, 2406, 477, 2924, 906, 3476, 7193, 24431, 6722, 16, 309, 1639, 1494, 942, 48479, 18, 21484, 1719, 16, 685, 2083, 16, 785, 417, 349, 42455, 4887, 7150, 5640, 4041, 360, 10665, 428, 6511, 18, 1192, 406, 49338, 496, 906, 18211, 16, 289, 417, 939, 41350, 16, 785, 6980, 11642, 1335, 4008, 1912, 23651, 861, 817, 1038, 9299, 16, 374, 4302, 26177, 567, 808, 10801, 329, 1047, 322, 639, 18, 26565, 2084, 410, 16, 1726, 2728, 290, 478, 13762, 45836, 763, 910, 22045, 1293, 1479, 5473, 40387, 6152, 28943, 39723, 309, 22993, 18, 478, 1140, 813, 1143, 43652, 16, 1851, 17, 299, 3465, 382, 18, 608, 813, 4136, 17, 299, 41804, 2232, 43508, 16, 1269, 25182, 16, 510, 2815, 36618, 18, 510, 3026, 481, 3621, 334, 17, 15253, 18, 889, 1139, 9288, 18, 1303, 29918, 16, 8552, 1886, 16, 6979, 467, 16, 15373, 28973, 289, 23875, 1886, 2184, 510, 773, 1904, 18, 608, 813, 481, 478, 28977, 46149 ]
[ 2411, 548, 11593, 1756, 16, 1756, 289, 1143, 1329, 18, 439, 988, 575, 21707, 399, 360, 12475, 35, 459, 453, 475, 840, 10030, 1494, 5433, 17100, 1687, 3499, 48025, 510, 10121, 7603, 413, 483, 18, 817, 8542, 282, 27191, 282, 10798, 1045, 16, 367, 281, 2604, 17, 361, 1623, 3366, 5349, 44503, 10712, 12475, 18, 12404, 23680, 6712, 294, 7603, 413, 48773, 282, 2604, 17, 277, 16, 785, 492, 30682, 8955, 282, 1560, 22649, 478, 1916, 17, 1182, 333, 755, 861, 640, 478, 13762, 45836, 468, 470, 26565, 2084, 410, 7757, 477, 2992, 9868, 510, 282, 7847, 1045, 492, 33513, 282, 23376, 15185, 31416, 16, 515, 282, 12500, 11826, 17, 361, 17060, 4378, 13440, 309, 10867, 282, 18161, 507, 296, 913, 16, 16150, 3240, 5907, 3400, 23651, 18, 403, 15695, 16, 10839, 38639, 6152, 29236, 282, 1175, 3885, 4283, 322, 475, 24671, 11009, 478, 13762, 45836, 427, 861, 17942, 26120, 2016, 6740, 2223, 5049, 779, 34989, 11170, 947, 8103, 4153, 2285, 1423, 3658, 4846, 5998, 309, 2923, 12899, 2044, 289, 5695, 35070, 16, 428, 282, 1175, 16, 453, 289, 309, 4862, 18, 365, 2801, 1045, 11170, 947, 906, 11620, 2409, 282, 40357, 11338, 478, 27874, 910, 367, 282, 11826, 1045, 27866, 309, 19862, 478, 27874, 18, 15847, 470, 282, 8156, 2236, 411, 6367, 18, 365, 1423, 3678, 16, 2566, 22903, 478, 13762, 45836, 427, 17, 28428, 470, 5423, 9596, 9225, 396, 18665, 375, 2127, 10839, 289, 322, 5695, 45989, 282, 1175, 18, 1253, 7556, 10008, 27725, 726, 1143, 5544, 986, 18, 365, 7520, 17, 29041, 6206, 30927, 906, 50227, 7638, 17, 2589, 309, 12971, 2742, 292, 16, 367, 282, 5895, 1045, 2756, 33373, 23111, 13392, 360, 12609, 478, 39009, 6980, 861, 18098, 27723, 309, 478, 13762, 45836, 763, 470, 282, 4145, 1045, 1467, 395, 455, 1038, 31387, 322, 21891, 282, 1175, 16, 1830, 519, 1728, 8465, 282, 17907, 2669, 1336, 373, 1909, 16, 36708, 282, 4447, 47937, 16, 367, 1038, 282, 478, 730, 25968, 933, 38369, 470, 3918, 1018, 36937, 29049, 18, 365, 5021, 1045, 30927, 30346, 21487, 10867, 478, 34803, 15142, 910, 45391, 37007, 628, 18259, 4269, 289, 8860, 2810, 3663, 3551, 2679, 3032, 1624, 1029, 16172, 7312, 282, 17958, 277, 962, 18, 640, 478, 13762, 45836, 763, 17, 28028, 470, 8955, 10313, 4583, 14647, 1162, 30927, 2387, 354, 5002, 848, 12586, 1624, 5854, 2016, 1175, 19518, 31703, 7408, 322, 9253, 18150, 23708, 4314, 9388, 306, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1175, 1533, 3750, 13462, 1119, 9985, 6507, 24758, 16, 367, 481, 6411, 16, 374, 9799, 485, 9985, 548, 1698, 322, 687, 17200, 319, 16, 515, 289, 24250, 10598, 18, 967, 11896, 1175, 726, 1715, 1272, 16885, 986, 5092, 9035, 315, 17, 1369, 599, 7376, 3216, 478, 4925, 554, 5461, 910, 282, 2114, 29120, 47134, 17, 488, 5386, 32811, 18, 31224, 30, 6706, 808, 30194, 17761, 6677, 11896, 11088, 26319, 367, 282, 9788, 7701, 508, 1176, 411, 6367, 5790, 281, 15505, 26056, 2206, 2471, 2780, 6713, 10598, 9362, 7796, 1552, 1175, 478, 6904, 33324, 3574, 861, 478, 46873, 1415, 33324, 3574, 16, 289, 4398, 276, 43455, 26910, 16, 5332, 1194, 17321, 30476, 334, 10475, 968, 281, 1416, 28117, 9468, 1938, 910, 510, 2361, 411, 3322, 11241, 12524, 891, 9362, 17, 1369, 12136, 16, 13479, 10598, 2458, 8893, 547, 421, 12039, 7641, 18, 2263, 26319, 16, 334, 3163, 14218, 2339, 505, 14824, 16, 685, 5723, 6084, 2365, 30, 8099, 2002, 322, 38678, 16, 374, 5301, 10598, 16, 2686, 21980, 46247, 22872, 289, 9985, 15238, 2768, 18, 967, 803, 26319, 289, 2393, 16108, 10933, 9985, 548, 281, 8980, 14963, 3455, 282, 4063, 5473, 38369, 7586, 478, 4925, 554, 5461, 910, 8907, 12223, 9985, 2389, 282, 8439, 1045, 18, 2320, 1650, 5772, 1559, 4373, 8537, 451, 10193, 16063, 36971, 9543, 7362, 3536, 18, 478, 15035, 5386, 264, 9862, 13518, 282, 828, 17, 299, 50053, 9916, 2818, 49311, 510, 7168, 7265, 31147, 16, 428, 3665, 16, 13717, 3702, 16, 4736, 4587, 44223, 10855, 2553, 910, 510, 3153, 583, 26319, 282, 11500, 7847, 779, 282, 23479, 294, 22308, 40816, 264, 6507, 7586, 16, 5389, 2198, 4063, 2675, 17, 488, 5386, 264, 2675, 18, 478, 21589, 4063, 20425, 289, 6116, 3653, 355, 912, 25951, 1244, 662, 30, 1426, 745, 510, 8887, 502, 37632, 670, 45442, 510, 7717, 15298, 42640, 289, 13849, 979, 3350, 289, 4076, 722, 19786, 34508, 16, 8626, 2306, 16, 515, 15058, 2306, 9236, 18, 3863, 478, 2021, 18938, 300, 470, 329, 9985, 712, 289, 30157, 282, 5344, 1500, 575, 510, 1472, 20482, 289, 2019, 309, 1405, 5230, 910, 510, 4848, 478, 46088, 18, 8381, 470, 16063, 289, 9805, 36971, 282, 31330, 4137, 46524, 483, 18, 365, 6104, 19713, 1175, 282, 9787, 707, 289, 31755, 426, 16, 367, 1038, 5305, 13725, 5854, 4830, 1175, 18505, 45168, 334, 640, 1615, 1147, 10056, 807, 3910, 16, 46524, 483, 1559, 3348, 411, 47474, 4063, 6507, 7586, 18, 40816, 264, 9862, 13518, 16, 309, 1754, 282, 3638, 1880, 808, 48405, 3720, 5000, 612, 17055, 1624, 3720, 20068, 16, 15136, 457, 467, 5881, 1624, 23928, 2221, 4809, 523, 289, 2393, 41984, 47134, 16, 12879, 3576, 6814, 11413, 289, 1800, 18, 35091, 4063, 6180, 3191, 1157, 282, 4101, 3142, 28980, 1033, 4317, 11896, 291, 1275, 16, 367, 1912, 30157, 17, 488, 5386, 31700, 2458, 19157, 8506, 17350, 1175, 18, 21587, 1711, 5301, 289, 12117, 5854, 11896, 8909, 21106, 401, 510, 1293, 722, 904, 639, 15877, 309, 12667, 18, 18646, 307, 309, 722, 10598, 31067, 15443, 586, 388, 289, 1951, 2016, 11338, 478, 27874, 470, 6423, 20923, 632, 3588, 756, 18, 6831, 30157, 17, 488, 5386, 31700, 8585, 3275, 1580, 5313, 30, 10598, 6443, 16063, 19713, 282, 26090, 289, 26014, 5037, 16190, 4000, 9543, 2769, 1136, 291, 1624, 5037, 11896, 16, 367, 2512, 7638, 1175, 10618, 21565, 3930, 1624, 367, 1038, 9128, 9362, 7796, 1552, 1175, 7947, 1415, 272, 937, 7929, 18, 12167, 685, 17519, 3725, 15967, 5537, 12524, 891, 16, 961, 1965, 322, 19722, 887, 281, 2175, 4307, 2035, 5912, 7336, 30, 478, 29477, 542, 986, 555, 8951, 2232, 16, 2813, 7375, 321, 831, 274, 16, 19331, 1685, 351, 465, 16, 2813, 1303, 294, 2305, 332, 282, 9516, 16, 3687, 350, 549, 16, 2813, 459, 424, 7949, 26967, 703, 861, 21587, 1711, 30157, 17, 488, 5386, 31700, 322, 1494, 10191, 519, 48035, 25870, 16883, 16, 2686, 282, 2801, 1045, 12916, 47799, 1175, 685 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2411, 548, 11593, 1756, 16, 1756, 289, 1143, 1329, 18, 439, 988, 575, 21707, 399, 360, 12475, 35, 459, 453, 475, 840, 10030, 1494, 5433, 17100, 1687, 3499, 48025, 510, 10121, 7603, 413, 483, 18, 817, 8542, 282, 27191, 282, 10798, 1045, 16, 367, 281, 2604, 17, 361, 1623, 3366, 5349, 44503, 10712, 12475, 18, 12404, 23680, 6712, 294, 7603, 413, 48773, 282, 2604, 17, 277, 16, 785, 492, 30682, 8955, 282, 1560, 22649, 478, 1916, 17, 1182, 333, 755, 861, 640, 478, 13762, 45836, 468, 470, 26565, 2084, 410, 7757, 477, 2992, 9868, 510, 282, 7847, 1045, 492, 33513, 282, 23376, 15185, 31416, 16, 515, 282, 12500, 11826, 17, 361, 17060, 4378, 13440, 309, 10867, 282, 18161, 507, 296, 913, 16, 16150, 3240, 5907, 3400, 23651, 18, 403, 15695, 16, 10839, 38639, 6152, 29236, 282, 1175, 3885, 4283, 322, 475, 24671, 11009, 478, 13762, 45836, 427, 861, 17942, 26120, 2016, 6740, 2223, 5049, 779, 34989, 11170, 947, 8103, 4153, 2285, 1423, 3658, 4846, 5998, 309, 2923, 12899, 2044, 289, 5695, 35070, 16, 428, 282, 1175, 16, 453, 289, 309, 4862, 18, 365, 2801, 1045, 11170, 947, 906, 11620, 2409, 282, 40357, 11338, 478, 27874, 910, 367, 282, 11826, 1045, 27866, 309, 19862, 478, 27874, 18, 15847, 470, 282, 8156, 2236, 411, 6367, 18, 365, 1423, 3678, 16, 2566, 22903, 478, 13762, 45836, 427, 17, 28428, 470, 5423, 9596, 9225, 396, 18665, 375, 2127, 10839, 289, 322, 5695, 45989, 282, 1175, 18, 1253, 7556, 10008, 27725, 726, 1143, 5544, 986, 18, 365, 7520, 17, 29041, 6206, 30927, 906, 50227, 7638, 17, 2589, 309, 12971, 2742, 292, 16, 367, 282, 5895, 1045, 2756, 33373, 23111, 13392, 360, 12609, 478, 39009, 6980, 861, 18098, 27723, 309, 478, 13762, 45836, 763, 470, 282, 4145, 1045, 1467, 395, 455, 1038, 31387, 322, 21891, 282, 1175, 16, 1830, 519, 1728, 8465, 282, 17907, 2669, 1336, 373, 1909, 16, 36708, 282, 4447, 47937, 16, 367, 1038, 282, 478, 730, 25968, 933, 38369, 470, 3918, 1018, 36937, 29049, 18, 365, 5021, 1045, 30927, 30346, 21487, 10867, 478, 34803, 15142, 910, 45391, 37007, 628, 18259, 4269, 289, 8860, 2810, 3663, 3551, 2679, 3032, 1624, 1029, 16172, 7312, 282, 17958, 277, 962, 18, 640, 478, 13762, 45836, 763, 17, 28028, 470, 8955, 10313, 4583, 14647, 1162, 30927, 2387, 354, 5002, 848, 12586, 1624, 5854, 2016, 1175, 19518, 31703, 7408, 322, 9253, 18150, 23708, 4314, 9388, 306, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1175, 1533, 3750, 13462, 1119, 9985, 6507, 24758, 16, 367, 481, 6411, 16, 374, 9799, 485, 9985, 548, 1698, 322, 687, 17200, 319, 16, 515, 289, 24250, 10598, 18, 967, 11896, 1175, 726, 1715, 1272, 16885, 986, 5092, 9035, 315, 17, 1369, 599, 7376, 3216, 478, 4925, 554, 5461, 910, 282, 2114, 29120, 47134, 17, 488, 5386, 32811, 18, 31224, 30, 6706, 808, 30194, 17761, 6677, 11896, 11088, 26319, 367, 282, 9788, 7701, 508, 1176, 411, 6367, 5790, 281, 15505, 26056, 2206, 2471, 2780, 6713, 10598, 9362, 7796, 1552, 1175, 478, 6904, 33324, 3574, 861, 478, 46873, 1415, 33324, 3574, 16, 289, 4398, 276, 43455, 26910, 16, 5332, 1194, 17321, 30476, 334, 10475, 968, 281, 1416, 28117, 9468, 1938, 910, 510, 2361, 411, 3322, 11241, 12524, 891, 9362, 17, 1369, 12136, 16, 13479, 10598, 2458, 8893, 547, 421, 12039, 7641, 18, 2263, 26319, 16, 334, 3163, 14218, 2339, 505, 14824, 16, 685, 5723, 6084, 2365, 30, 8099, 2002, 322, 38678, 16, 374, 5301, 10598, 16, 2686, 21980, 46247, 22872, 289, 9985, 15238, 2768, 18, 967, 803, 26319, 289, 2393, 16108, 10933, 9985, 548, 281, 8980, 14963, 3455, 282, 4063, 5473, 38369, 7586, 478, 4925, 554, 5461, 910, 8907, 12223, 9985, 2389, 282, 8439, 1045, 18, 2320, 1650, 5772, 1559, 4373, 8537, 451, 10193, 16063, 36971, 9543, 7362, 3536, 18, 478, 15035, 5386, 264, 9862, 13518, 282, 828, 17, 299, 50053, 9916, 2818, 49311, 510, 7168, 7265, 31147, 16, 428, 3665, 16, 13717, 3702, 16, 4736, 4587, 44223, 10855, 2553, 910, 510, 3153, 583, 26319, 282, 11500, 7847, 779, 282, 23479, 294, 22308, 40816, 264, 6507, 7586, 16, 5389, 2198, 4063, 2675, 17, 488, 5386, 264, 2675, 18, 478, 21589, 4063, 20425, 289, 6116, 3653, 355, 912, 25951, 1244, 662, 30, 1426, 745, 510, 8887, 502, 37632, 670, 45442, 510, 7717, 15298, 42640, 289, 13849, 979, 3350, 289, 4076, 722, 19786, 34508, 16, 8626, 2306, 16, 515, 15058, 2306, 9236, 18, 3863, 478, 2021, 18938, 300, 470, 329, 9985, 712, 289, 30157, 282, 5344, 1500, 575, 510, 1472, 20482, 289, 2019, 309, 1405, 5230, 910, 510, 4848, 478, 46088, 18, 8381, 470, 16063, 289, 9805, 36971, 282, 31330, 4137, 46524, 483, 18, 365, 6104, 19713, 1175, 282, 9787, 707, 289, 31755, 426, 16, 367, 1038, 5305, 13725, 5854, 4830, 1175, 18505, 45168, 334, 640, 1615, 1147, 10056, 807, 3910, 16, 46524, 483, 1559, 3348, 411, 47474, 4063, 6507, 7586, 18, 40816, 264, 9862, 13518, 16, 309, 1754, 282, 3638, 1880, 808, 48405, 3720, 5000, 612, 17055, 1624, 3720, 20068, 16, 15136, 457, 467, 5881, 1624, 23928, 2221, 4809, 523, 289, 2393, 41984, 47134, 16, 12879, 3576, 6814, 11413, 289, 1800, 18, 35091, 4063, 6180, 3191, 1157, 282, 4101, 3142, 28980, 1033, 4317, 11896, 291, 1275, 16, 367, 1912, 30157, 17, 488, 5386, 31700, 2458, 19157, 8506, 17350, 1175, 18, 21587, 1711, 5301, 289, 12117, 5854, 11896, 8909, 21106, 401, 510, 1293, 722, 904, 639, 15877, 309, 12667, 18, 18646, 307, 309, 722, 10598, 31067, 15443, 586, 388, 289, 1951, 2016, 11338, 478, 27874, 470, 6423, 20923, 632, 3588, 756, 18, 6831, 30157, 17, 488, 5386, 31700, 8585, 3275, 1580, 5313, 30, 10598, 6443, 16063, 19713, 282, 26090, 289, 26014, 5037, 16190, 4000, 9543, 2769, 1136, 291, 1624, 5037, 11896, 16, 367, 2512, 7638, 1175, 10618, 21565, 3930, 1624, 367, 1038, 9128, 9362, 7796, 1552, 1175, 7947, 1415, 272, 937, 7929, 18, 12167, 685, 17519, 3725, 15967, 5537, 12524, 891, 16, 961, 1965, 322, 19722, 887, 281, 2175, 4307, 2035, 5912, 7336, 30, 478, 29477, 542, 986, 555, 8951, 2232, 16, 2813, 7375, 321, 831, 274, 16, 19331, 1685, 351, 465, 16, 2813, 1303, 294, 2305, 332, 282, 9516, 16, 3687, 350, 549, 16, 2813, 459, 424, 7949, 26967, 703, 861, 21587, 1711, 30157, 17, 488, 5386, 31700, 322, 1494, 10191, 519, 48035, 25870, 16883, 16, 2686, 282, 2801, 1045, 12916, 47799, 1175, 685 ]
[ 14449, 40074, 17, 7779, 292, 7543, 285, 23613, 5423, 3930, 16, 1029, 7236, 1033, 2555, 986, 12895, 282, 11896, 18, 5423, 3930, 272, 10849, 322, 687, 281, 2202, 1525, 16864, 510, 3441, 411, 5606, 6866, 505, 24714, 22246, 10193, 16063, 14175, 36710, 14879, 11812, 18, 23420, 478, 4925, 554, 5461, 470, 322, 687, 25356, 289, 13765, 305, 10598, 9985, 712, 16, 515, 289, 44030, 21068, 281, 44989, 26696, 17, 1369, 599, 2389, 18, 832, 453, 2944, 24765, 477, 1932, 14209, 5781, 289, 29802, 30157, 17, 488, 5386, 31700, 685, 18913, 309, 12843, 289, 6081, 1212, 19880, 18, 32204, 290, 1169, 16, 5037, 11896, 11612, 9131, 459, 4725, 16, 374, 48051, 478, 3258, 1041, 305, 1882, 8670, 702, 2803, 861, 365, 3177, 4063, 14948, 31493, 10933, 9985, 548, 322, 1176, 7447, 18, 29491, 1775, 10598, 282, 10198, 39784, 454, 6443, 6700, 5038, 9085, 282, 13787, 17, 263, 3142, 44308, 20334, 3852, 12359, 280, 16, 18165, 14995, 11896, 5670, 13407, 17, 2997, 356, 2080, 267, 473, 1618, 7536, 17, 1618, 5041, 934, 19713, 2145, 282, 11254, 19885, 12626, 18385, 586, 6194, 23129, 16, 1029, 685, 18566, 282, 24207, 20532, 20486, 19874, 1224, 11393, 7529, 15149, 306, 41238, 38938, 5645, 282, 3182, 2145, 18, 365, 2801, 1045, 16, 785, 3361, 2145, 289, 1175, 764, 322, 23863, 519, 4999, 478, 36337, 416, 2793, 910, 10958, 1273, 19882, 22172, 19202, 435, 3147, 25398, 11343, 1820, 454, 4063, 2675, 17, 488, 5386, 264, 2675, 18, 478, 2997, 2188, 1270, 9985, 7376, 11075, 2407, 1882, 1223, 13829, 3319, 497, 22521, 282, 34893, 3623, 9085, 289, 34899, 526, 19360, 3315, 304, 309, 26896, 1608, 38836, 292, 910, 510, 3934, 576, 10958, 18, 740, 16, 428, 42416, 282, 7705, 16, 329, 6814, 15310, 7796, 1552, 912, 289, 478, 38061, 2135, 12483, 861, 1681, 1420, 16188, 6984, 282, 4432, 3216, 478, 4925, 554, 5461, 861, 478, 6706, 808, 1810, 349, 17784, 16, 2805, 282, 27028, 49709, 281, 10400, 536, 12727, 304, 16, 541, 3725, 9985, 712, 48051, 906, 3149, 9173, 9945, 1531, 47639, 910, 1224, 297, 826, 1374, 282, 13453, 18, 4338, 329, 7583, 49808, 282, 2630, 281, 12549, 1734, 6986, 761, 5702, 475, 3440, 1612, 541, 29660, 289, 21198, 18, 3557, 1033, 16, 309, 3217, 5939, 18840, 3847, 24714, 322, 14083, 16, 289, 2450, 15975, 2145, 19209, 3727, 1035, 262, 31387, 6836, 4147, 272, 18, 5181, 16, 4770, 2145, 36176, 28565, 475, 575, 12062, 297, 294, 21198, 16, 4410, 289, 14511, 16, 785, 10799, 290, 3177, 4599, 294, 10372, 1809, 35337, 18, 640, 3709, 411, 29236, 282, 12500, 11826, 779, 492, 20347, 2159, 38055, 30201, 290, 12730, 16, 1586, 5892, 555, 24090, 2848, 11631, 306, 16, 367, 1543, 17533, 7102, 722, 18, 21587, 10511, 468, 478, 1295, 482, 274, 910, 6983, 5460, 16078, 3258, 1624, 9914, 734, 272, 415, 43123, 10171, 13145, 17, 25253, 1081, 16, 1601, 3305, 39050, 1977, 613, 349, 42305, 3018, 16, 28407, 2024, 898, 1904, 14383, 282, 3875, 18, 10482, 16, 374, 9079, 10171, 13145, 20353, 294, 21935, 2145, 281, 14503, 322, 6713, 24714, 697, 4576, 16, 453, 428, 6881, 16, 374, 975, 373, 481, 322, 12329, 18, 5454, 16, 481, 26362, 37043, 4830, 2145, 670, 6814, 20420, 2450, 476, 513, 294, 4279, 1433, 1634, 16, 753, 21986, 282, 478, 1369, 599, 7376, 6707, 271, 470, 281, 26696, 411, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 24064, 2557, 1551, 4755, 2640, 1743, 21112, 933, 6367, 586, 15997, 789, 17, 3548, 47183, 16, 1639, 39248, 282, 10364, 476, 29269, 13411, 2496, 2533, 18, 824, 3163, 25656, 1051, 16, 30625, 18137, 309, 10275, 298, 289, 2797, 3264, 1166, 282, 3178, 10504, 3139, 16, 367, 2512, 21073, 30028, 23828, 16, 282, 2114, 697, 1694, 5823, 2539, 1007, 18, 31224, 30, 677, 10666, 6438, 778, 1583, 24413, 24064, 820, 1943, 27405, 294, 46837, 1101, 6566, 2954, 36473, 16, 1639, 37972, 9597, 39248, 282, 10364, 476, 1003, 12072, 4568, 40603, 7080, 2496, 2533, 18, 7810, 2975, 478, 26376, 7716, 700, 470, 510, 2123, 17, 7745, 20065, 14999, 322, 5273, 965, 47666, 16, 16144, 25656, 1157, 18, 4800, 6047, 873, 16, 2390, 1733, 15740, 48789, 38, 56, 17, 43, 7169, 657, 534, 16, 13473, 282, 6551, 282, 8151, 4189, 411, 2001, 17, 293, 3031, 33343, 24064, 820, 37577, 19579, 798, 16, 1814, 10250, 478, 272, 11565, 4396, 1703, 14762, 470, 510, 14596, 505, 5303, 17284, 18, 1606, 38060, 10205, 6793, 290, 24064, 2557, 289, 1354, 10162, 14010, 17, 3008, 1859, 624, 18, 20099, 48789, 38, 56, 17, 43, 7169, 657, 534, 26060, 11282, 1819, 8790, 15097, 282, 5703, 27470, 16, 281, 1498, 898, 4228, 17, 9165, 755, 16, 41628, 9165, 755, 289, 17053, 343, 18, 985, 14083, 21112, 1133, 5792, 16, 26060, 11282, 1819, 8790, 1623, 11947, 7067, 2001, 18, 4756, 25835, 37577, 19579, 798, 32376, 17195, 286, 37483, 16, 20690, 14010, 16, 28096, 300, 3193, 5781, 11630, 16, 3143, 1587, 3806, 3608, 778, 1568, 16, 289, 13204, 12269, 12373, 5133, 2917, 1335, 9616, 18, 439, 785, 282, 12335, 978, 779, 4770, 1175, 4137, 6732, 23474, 21700, 700, 16, 502, 528, 1368, 286, 5039, 1038, 26793, 294, 4586, 7309, 30, 309, 3411, 405, 2165, 289, 6359, 292, 15040, 24653, 898, 2113, 548, 32528, 448, 15222, 607, 18, 41242, 2339, 282, 24064, 328, 32277, 36137, 14703, 411, 7583, 586, 15997, 789, 17, 11619, 1640, 478, 28180, 478, 48444, 748, 910, 961, 19521, 17527, 416, 29689, 478, 21695, 3832, 451, 25656, 451, 13333, 861, 817, 14366, 282, 5017, 2508, 16741, 309, 43910, 3676, 296, 45169, 478, 1182, 12193, 266, 861, 7409, 1119, 14003, 4167, 3600, 1736, 18, 478, 21837, 6047, 873, 24208, 7337, 329, 6367, 37778, 16, 367, 7760, 282, 11053, 11202, 3695, 4189, 309, 3676, 296, 604, 272, 6498, 8811, 6233, 289, 20286, 26551, 4669, 5119, 16, 510, 4848, 478, 46088, 18, 8381, 470, 9216, 478, 18418, 287, 478, 48444, 748, 470, 4210, 6907, 5269, 18, 510, 1606, 6442, 16, 374, 1747, 8197, 16364, 451, 6457, 861, 365, 3106, 10317, 16, 334, 505, 3163, 16, 17774, 12362, 8348, 290, 970, 16, 374, 309, 3676, 296, 45169, 2496, 3463, 1562, 16, 282, 970, 2875, 30625, 281, 6097, 30649, 35665, 17, 289, 5626, 9317, 3446, 2087, 16, 31435, 18708, 564, 14429, 478, 806, 416, 1003, 12072, 4669, 37667, 861, 478, 1295, 525, 25062, 639, 43571, 5709, 6822, 3676, 296, 14850, 16, 515, 656, 38111, 16, 374, 481, 685, 1472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14449, 40074, 17, 7779, 292, 7543, 285, 23613, 5423, 3930, 16, 1029, 7236, 1033, 2555, 986, 12895, 282, 11896, 18, 5423, 3930, 272, 10849, 322, 687, 281, 2202, 1525, 16864, 510, 3441, 411, 5606, 6866, 505, 24714, 22246, 10193, 16063, 14175, 36710, 14879, 11812, 18, 23420, 478, 4925, 554, 5461, 470, 322, 687, 25356, 289, 13765, 305, 10598, 9985, 712, 16, 515, 289, 44030, 21068, 281, 44989, 26696, 17, 1369, 599, 2389, 18, 832, 453, 2944, 24765, 477, 1932, 14209, 5781, 289, 29802, 30157, 17, 488, 5386, 31700, 685, 18913, 309, 12843, 289, 6081, 1212, 19880, 18, 32204, 290, 1169, 16, 5037, 11896, 11612, 9131, 459, 4725, 16, 374, 48051, 478, 3258, 1041, 305, 1882, 8670, 702, 2803, 861, 365, 3177, 4063, 14948, 31493, 10933, 9985, 548, 322, 1176, 7447, 18, 29491, 1775, 10598, 282, 10198, 39784, 454, 6443, 6700, 5038, 9085, 282, 13787, 17, 263, 3142, 44308, 20334, 3852, 12359, 280, 16, 18165, 14995, 11896, 5670, 13407, 17, 2997, 356, 2080, 267, 473, 1618, 7536, 17, 1618, 5041, 934, 19713, 2145, 282, 11254, 19885, 12626, 18385, 586, 6194, 23129, 16, 1029, 685, 18566, 282, 24207, 20532, 20486, 19874, 1224, 11393, 7529, 15149, 306, 41238, 38938, 5645, 282, 3182, 2145, 18, 365, 2801, 1045, 16, 785, 3361, 2145, 289, 1175, 764, 322, 23863, 519, 4999, 478, 36337, 416, 2793, 910, 10958, 1273, 19882, 22172, 19202, 435, 3147, 25398, 11343, 1820, 454, 4063, 2675, 17, 488, 5386, 264, 2675, 18, 478, 2997, 2188, 1270, 9985, 7376, 11075, 2407, 1882, 1223, 13829, 3319, 497, 22521, 282, 34893, 3623, 9085, 289, 34899, 526, 19360, 3315, 304, 309, 26896, 1608, 38836, 292, 910, 510, 3934, 576, 10958, 18, 740, 16, 428, 42416, 282, 7705, 16, 329, 6814, 15310, 7796, 1552, 912, 289, 478, 38061, 2135, 12483, 861, 1681, 1420, 16188, 6984, 282, 4432, 3216, 478, 4925, 554, 5461, 861, 478, 6706, 808, 1810, 349, 17784, 16, 2805, 282, 27028, 49709, 281, 10400, 536, 12727, 304, 16, 541, 3725, 9985, 712, 48051, 906, 3149, 9173, 9945, 1531, 47639, 910, 1224, 297, 826, 1374, 282, 13453, 18, 4338, 329, 7583, 49808, 282, 2630, 281, 12549, 1734, 6986, 761, 5702, 475, 3440, 1612, 541, 29660, 289, 21198, 18, 3557, 1033, 16, 309, 3217, 5939, 18840, 3847, 24714, 322, 14083, 16, 289, 2450, 15975, 2145, 19209, 3727, 1035, 262, 31387, 6836, 4147, 272, 18, 5181, 16, 4770, 2145, 36176, 28565, 475, 575, 12062, 297, 294, 21198, 16, 4410, 289, 14511, 16, 785, 10799, 290, 3177, 4599, 294, 10372, 1809, 35337, 18, 640, 3709, 411, 29236, 282, 12500, 11826, 779, 492, 20347, 2159, 38055, 30201, 290, 12730, 16, 1586, 5892, 555, 24090, 2848, 11631, 306, 16, 367, 1543, 17533, 7102, 722, 18, 21587, 10511, 468, 478, 1295, 482, 274, 910, 6983, 5460, 16078, 3258, 1624, 9914, 734, 272, 415, 43123, 10171, 13145, 17, 25253, 1081, 16, 1601, 3305, 39050, 1977, 613, 349, 42305, 3018, 16, 28407, 2024, 898, 1904, 14383, 282, 3875, 18, 10482, 16, 374, 9079, 10171, 13145, 20353, 294, 21935, 2145, 281, 14503, 322, 6713, 24714, 697, 4576, 16, 453, 428, 6881, 16, 374, 975, 373, 481, 322, 12329, 18, 5454, 16, 481, 26362, 37043, 4830, 2145, 670, 6814, 20420, 2450, 476, 513, 294, 4279, 1433, 1634, 16, 753, 21986, 282, 478, 1369, 599, 7376, 6707, 271, 470, 281, 26696, 411, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 24064, 2557, 1551, 4755, 2640, 1743, 21112, 933, 6367, 586, 15997, 789, 17, 3548, 47183, 16, 1639, 39248, 282, 10364, 476, 29269, 13411, 2496, 2533, 18, 824, 3163, 25656, 1051, 16, 30625, 18137, 309, 10275, 298, 289, 2797, 3264, 1166, 282, 3178, 10504, 3139, 16, 367, 2512, 21073, 30028, 23828, 16, 282, 2114, 697, 1694, 5823, 2539, 1007, 18, 31224, 30, 677, 10666, 6438, 778, 1583, 24413, 24064, 820, 1943, 27405, 294, 46837, 1101, 6566, 2954, 36473, 16, 1639, 37972, 9597, 39248, 282, 10364, 476, 1003, 12072, 4568, 40603, 7080, 2496, 2533, 18, 7810, 2975, 478, 26376, 7716, 700, 470, 510, 2123, 17, 7745, 20065, 14999, 322, 5273, 965, 47666, 16, 16144, 25656, 1157, 18, 4800, 6047, 873, 16, 2390, 1733, 15740, 48789, 38, 56, 17, 43, 7169, 657, 534, 16, 13473, 282, 6551, 282, 8151, 4189, 411, 2001, 17, 293, 3031, 33343, 24064, 820, 37577, 19579, 798, 16, 1814, 10250, 478, 272, 11565, 4396, 1703, 14762, 470, 510, 14596, 505, 5303, 17284, 18, 1606, 38060, 10205, 6793, 290, 24064, 2557, 289, 1354, 10162, 14010, 17, 3008, 1859, 624, 18, 20099, 48789, 38, 56, 17, 43, 7169, 657, 534, 26060, 11282, 1819, 8790, 15097, 282, 5703, 27470, 16, 281, 1498, 898, 4228, 17, 9165, 755, 16, 41628, 9165, 755, 289, 17053, 343, 18, 985, 14083, 21112, 1133, 5792, 16, 26060, 11282, 1819, 8790, 1623, 11947, 7067, 2001, 18, 4756, 25835, 37577, 19579, 798, 32376, 17195, 286, 37483, 16, 20690, 14010, 16, 28096, 300, 3193, 5781, 11630, 16, 3143, 1587, 3806, 3608, 778, 1568, 16, 289, 13204, 12269, 12373, 5133, 2917, 1335, 9616, 18, 439, 785, 282, 12335, 978, 779, 4770, 1175, 4137, 6732, 23474, 21700, 700, 16, 502, 528, 1368, 286, 5039, 1038, 26793, 294, 4586, 7309, 30, 309, 3411, 405, 2165, 289, 6359, 292, 15040, 24653, 898, 2113, 548, 32528, 448, 15222, 607, 18, 41242, 2339, 282, 24064, 328, 32277, 36137, 14703, 411, 7583, 586, 15997, 789, 17, 11619, 1640, 478, 28180, 478, 48444, 748, 910, 961, 19521, 17527, 416, 29689, 478, 21695, 3832, 451, 25656, 451, 13333, 861, 817, 14366, 282, 5017, 2508, 16741, 309, 43910, 3676, 296, 45169, 478, 1182, 12193, 266, 861, 7409, 1119, 14003, 4167, 3600, 1736, 18, 478, 21837, 6047, 873, 24208, 7337, 329, 6367, 37778, 16, 367, 7760, 282, 11053, 11202, 3695, 4189, 309, 3676, 296, 604, 272, 6498, 8811, 6233, 289, 20286, 26551, 4669, 5119, 16, 510, 4848, 478, 46088, 18, 8381, 470, 9216, 478, 18418, 287, 478, 48444, 748, 470, 4210, 6907, 5269, 18, 510, 1606, 6442, 16, 374, 1747, 8197, 16364, 451, 6457, 861, 365, 3106, 10317, 16, 334, 505, 3163, 16, 17774, 12362, 8348, 290, 970, 16, 374, 309, 3676, 296, 45169, 2496, 3463, 1562, 16, 282, 970, 2875, 30625, 281, 6097, 30649, 35665, 17, 289, 5626, 9317, 3446, 2087, 16, 31435, 18708, 564, 14429, 478, 806, 416, 1003, 12072, 4669, 37667, 861, 478, 1295, 525, 25062, 639, 43571, 5709, 6822, 3676, 296, 14850, 16, 515, 656, 38111, 16, 374, 481, 685, 1472 ]
[ 21389, 317, 16, 753, 22585, 309, 29689, 16, 510, 3956, 266, 6907, 5269, 18, 510, 9418, 281, 5722, 3334, 898, 9208, 1135, 16, 961, 10073, 22585, 294, 1299, 309, 28782, 10927, 282, 5017, 1779, 11946, 18, 740, 481, 639, 2513, 4367, 18694, 16, 2650, 13477, 322, 37386, 16573, 18, 1345, 697, 322, 36841, 16, 367, 1441, 11152, 697, 1974, 281, 31775, 861, 12926, 1051, 37778, 4732, 2797, 22282, 334, 39963, 4762, 18, 478, 684, 697, 9416, 9781, 16, 29295, 329, 813, 322, 639, 18, 2876, 11854, 34309, 1248, 2846, 4177, 18, 439, 1215, 21112, 1275, 2797, 3264, 1166, 7109, 3139, 9410, 910, 510, 2548, 6907, 5269, 18, 23656, 727, 13164, 19645, 16, 374, 21112, 873, 2700, 6563, 3672, 13811, 18, 365, 1017, 5107, 329, 1129, 9921, 16, 374, 3300, 13565, 478, 17354, 662, 281, 38157, 2553, 861, 2046, 309, 2463, 481, 639, 478, 819, 36626, 282, 25656, 416, 289, 10035, 3416, 910, 5658, 282, 727, 13164, 289, 49265, 3637, 30625, 309, 1421, 5600, 2791, 18, 985, 15135, 6907, 5269, 16, 33023, 21112, 873, 10063, 7557, 18, 23302, 6233, 867, 5547, 20733, 15463, 2630, 30625, 281, 9154, 18, 1606, 8364, 3484, 8623, 309, 20596, 4069, 13021, 7646, 289, 11152, 1122, 7337, 281, 14986, 17623, 16, 4470, 476, 8309, 4726, 26149, 1281, 986, 18, 478, 36764, 3409, 1133, 1196, 925, 5024, 2236, 1631, 289, 29838, 16, 374, 975, 687, 2123, 986, 16, 510, 1109, 6907, 5269, 18, 510, 3863, 5834, 1135, 5053, 294, 1299, 309, 10927, 281, 2835, 26583, 289, 14900, 12735, 16, 988, 11836, 16, 374, 975, 912, 1281, 986, 18, 608, 1047, 898, 3860, 411, 17, 431, 505, 1003, 12072, 4669, 37667, 16, 17964, 6974, 289, 19603, 16, 289, 975, 906, 6332, 3961, 18, 2263, 492, 322, 5273, 965, 18100, 1757, 861, 3557, 322, 2619, 13608, 18708, 1672, 282, 3649, 30036, 8621, 21112, 1275, 19344, 24382, 6233, 23588, 2869, 7426, 282, 10364, 476, 29269, 13411, 2496, 2533, 18, 15066, 22517, 13547, 685, 18566, 2450, 2540, 323, 289, 15739, 282, 3941, 281, 430, 4189, 3734, 779, 18, 999, 10364, 554, 9278, 10556, 18, 1787, 30625, 481, 2988, 2846, 17, 31562, 2634, 2791, 16, 2988, 38171, 11923, 309, 3017, 519, 1760, 9909, 281, 5019, 1486, 979, 349, 14536, 1175, 18, 967, 10634, 478, 22333, 8260, 17, 4659, 7942, 26912, 4568, 16695, 470, 10556, 14481, 360, 3610, 519, 3417, 2634, 2791, 18, 9668, 478, 18418, 287, 478, 48444, 748, 470, 12698, 16, 374, 13143, 2700, 8531, 1568, 289, 8190, 16011, 30625, 18, 478, 677, 23828, 1408, 33691, 898, 11666, 15697, 17187, 21112, 1275, 16, 2496, 7646, 685, 1500, 16, 1085, 2946, 8338, 5075, 910, 510, 2548, 18290, 18, 478, 21837, 6047, 873, 17245, 5524, 1855, 2388, 10357, 8076, 16, 515, 773, 12002, 16, 374, 478, 275, 1175, 453, 7239, 910, 28293, 5816, 274, 282, 28282, 18, 2949, 924, 16, 309, 387, 29060, 773, 24153, 36310, 1003, 9872, 16, 367, 1038, 27212, 19361, 6233, 910, 510, 2548, 6907, 5269, 18, 11849, 20957, 382, 282, 1551, 4244, 4287, 7863, 23884, 16, 309, 1754, 639, 23362, 19111, 282, 12564, 282, 10666, 282, 1658, 4079, 18, 640, 481, 575, 808, 329, 1129, 685, 31919, 6413, 282, 21700, 700, 18, 27247, 6907, 5269, 37942, 7190, 26205, 289, 44893, 16, 322, 21038, 520, 505, 4446, 5426, 27948, 18, 478, 41066, 8811, 18747, 309, 8502, 3022, 31327, 7282, 282, 18248, 16, 510, 9848, 9216, 478, 18418, 287, 478, 48444, 748, 861, 510, 740, 21112, 873, 13473, 282, 1551, 18, 4663, 19092, 32834, 861, 5043, 16, 14668, 453, 289, 322, 10243, 282, 9540, 539, 808, 18, 2320, 43647, 309, 2418, 18, 646, 18, 478, 37864, 485, 4431, 5, 510, 6463, 309, 1360, 7759, 282, 469, 40484, 26060, 11282, 1819, 8790, 18, 510, 11849, 6384, 434, 10601, 656, 475, 764, 282, 24064, 2557, 18, 889, 475, 411, 17, 431, 8501, 2009, 8621, 16, 14010, 17, 26376, 7716, 347, 18, 1303, 9093, 16, 515, 13860, 16, 374, 1299, 2240, 2915, 18, 16723, 339, 6335, 8156, 360, 473, 482, 7126, 13, 32277, 289, 28918, 624, 18, 25037, 8831, 1304, 282, 11069, 4271, 25740, 282, 10666, 14668, 1038, 322, 15162, 18, 47070, 1157, 5129, 24299, 22581, 19588, 1512, 510, 25656, 1051, 16, 14824, 289, 12420, 11228, 16, 961, 6498, 309, 4126, 18, 478, 2176, 44066, 7970, 4316, 14245, 510, 2616, 17, 299, 24311, 467, 322, 1248, 3821, 3704, 305, 26848, 16, 2616, 17, 299, 34728, 2319, 4427, 16, 329, 2616, 17, 299, 1329, 322, 34728, 18, 29598, 347, 2294, 322, 7187, 36495, 2141, 282, 8794, 5129, 16, 764, 322, 282, 3049, 18, 740, 47503, 17, 11488, 315, 475, 726, 8056, 910, 510, 3110, 282, 457, 6397, 1138, 5854, 20783, 1734, 3463, 11758, 15665, 349, 34670, 12284, 4568, 2593, 18, 38051, 1666, 20256, 26485, 9321, 16, 374, 5522, 13516, 322, 840, 16, 515, 5747, 12374, 16, 374, 13143, 519, 4319, 1326, 322, 32319, 282, 1551, 6034, 1101, 18, 478, 36865, 8643, 415, 5246, 15003, 718, 3700, 24064, 680, 1767, 16, 510, 3828, 478, 46088, 18, 8381, 470, 6907, 5269, 18, 510, 1345, 27797, 3781, 17, 38402, 5129, 861, 478, 40722, 6528, 18, 1303, 764, 7614, 339, 19683, 10744, 910, 510, 11661, 282, 3177, 457, 6397, 1138, 26060, 11282, 1819, 8790, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 1790, 14928, 1970, 1275, 411, 5649, 560, 20908, 39247, 282, 3569, 665, 14764, 365, 17537, 289, 16337, 39473, 411, 1543, 4938, 434, 6617, 16, 351, 6954, 5849, 39050, 18, 1606, 20967, 309, 30498, 282, 4391, 10145, 282, 391, 28925, 289, 27590, 282, 1680, 368, 288, 2837, 9510, 567, 808, 21958, 18, 30491, 49142, 8231, 1576, 857, 16, 374, 15492, 341, 6367, 11220, 18, 31224, 30, 36764, 783, 2001, 3569, 665, 17251, 365, 6074, 6347, 1788, 26058, 477, 9490, 3376, 16, 282, 2114, 20146, 6501, 6814, 415, 7641, 2176, 5649, 560, 18, 1606, 20967, 309, 30498, 282, 18168, 49513, 6132, 17, 983, 20746, 950, 391, 28925, 282, 12441, 668, 4391, 10145, 18, 20833, 282, 11084, 4856, 8164, 43992, 2396, 454, 282, 3569, 665, 14764, 365, 17537, 16, 289, 44604, 873, 5658, 18958, 282, 1680, 368, 288, 2837, 9510, 28214, 3633, 18, 478, 677, 3709, 411, 9510, 1251, 2872, 289, 14638, 28385, 27031, 16910, 709, 13013, 16, 1029, 10353, 6448, 9132, 309, 9558, 451, 31278, 16, 510, 40530, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 11552, 8231, 334, 27001, 2818, 10020, 18, 510, 30781, 2798 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21389, 317, 16, 753, 22585, 309, 29689, 16, 510, 3956, 266, 6907, 5269, 18, 510, 9418, 281, 5722, 3334, 898, 9208, 1135, 16, 961, 10073, 22585, 294, 1299, 309, 28782, 10927, 282, 5017, 1779, 11946, 18, 740, 481, 639, 2513, 4367, 18694, 16, 2650, 13477, 322, 37386, 16573, 18, 1345, 697, 322, 36841, 16, 367, 1441, 11152, 697, 1974, 281, 31775, 861, 12926, 1051, 37778, 4732, 2797, 22282, 334, 39963, 4762, 18, 478, 684, 697, 9416, 9781, 16, 29295, 329, 813, 322, 639, 18, 2876, 11854, 34309, 1248, 2846, 4177, 18, 439, 1215, 21112, 1275, 2797, 3264, 1166, 7109, 3139, 9410, 910, 510, 2548, 6907, 5269, 18, 23656, 727, 13164, 19645, 16, 374, 21112, 873, 2700, 6563, 3672, 13811, 18, 365, 1017, 5107, 329, 1129, 9921, 16, 374, 3300, 13565, 478, 17354, 662, 281, 38157, 2553, 861, 2046, 309, 2463, 481, 639, 478, 819, 36626, 282, 25656, 416, 289, 10035, 3416, 910, 5658, 282, 727, 13164, 289, 49265, 3637, 30625, 309, 1421, 5600, 2791, 18, 985, 15135, 6907, 5269, 16, 33023, 21112, 873, 10063, 7557, 18, 23302, 6233, 867, 5547, 20733, 15463, 2630, 30625, 281, 9154, 18, 1606, 8364, 3484, 8623, 309, 20596, 4069, 13021, 7646, 289, 11152, 1122, 7337, 281, 14986, 17623, 16, 4470, 476, 8309, 4726, 26149, 1281, 986, 18, 478, 36764, 3409, 1133, 1196, 925, 5024, 2236, 1631, 289, 29838, 16, 374, 975, 687, 2123, 986, 16, 510, 1109, 6907, 5269, 18, 510, 3863, 5834, 1135, 5053, 294, 1299, 309, 10927, 281, 2835, 26583, 289, 14900, 12735, 16, 988, 11836, 16, 374, 975, 912, 1281, 986, 18, 608, 1047, 898, 3860, 411, 17, 431, 505, 1003, 12072, 4669, 37667, 16, 17964, 6974, 289, 19603, 16, 289, 975, 906, 6332, 3961, 18, 2263, 492, 322, 5273, 965, 18100, 1757, 861, 3557, 322, 2619, 13608, 18708, 1672, 282, 3649, 30036, 8621, 21112, 1275, 19344, 24382, 6233, 23588, 2869, 7426, 282, 10364, 476, 29269, 13411, 2496, 2533, 18, 15066, 22517, 13547, 685, 18566, 2450, 2540, 323, 289, 15739, 282, 3941, 281, 430, 4189, 3734, 779, 18, 999, 10364, 554, 9278, 10556, 18, 1787, 30625, 481, 2988, 2846, 17, 31562, 2634, 2791, 16, 2988, 38171, 11923, 309, 3017, 519, 1760, 9909, 281, 5019, 1486, 979, 349, 14536, 1175, 18, 967, 10634, 478, 22333, 8260, 17, 4659, 7942, 26912, 4568, 16695, 470, 10556, 14481, 360, 3610, 519, 3417, 2634, 2791, 18, 9668, 478, 18418, 287, 478, 48444, 748, 470, 12698, 16, 374, 13143, 2700, 8531, 1568, 289, 8190, 16011, 30625, 18, 478, 677, 23828, 1408, 33691, 898, 11666, 15697, 17187, 21112, 1275, 16, 2496, 7646, 685, 1500, 16, 1085, 2946, 8338, 5075, 910, 510, 2548, 18290, 18, 478, 21837, 6047, 873, 17245, 5524, 1855, 2388, 10357, 8076, 16, 515, 773, 12002, 16, 374, 478, 275, 1175, 453, 7239, 910, 28293, 5816, 274, 282, 28282, 18, 2949, 924, 16, 309, 387, 29060, 773, 24153, 36310, 1003, 9872, 16, 367, 1038, 27212, 19361, 6233, 910, 510, 2548, 6907, 5269, 18, 11849, 20957, 382, 282, 1551, 4244, 4287, 7863, 23884, 16, 309, 1754, 639, 23362, 19111, 282, 12564, 282, 10666, 282, 1658, 4079, 18, 640, 481, 575, 808, 329, 1129, 685, 31919, 6413, 282, 21700, 700, 18, 27247, 6907, 5269, 37942, 7190, 26205, 289, 44893, 16, 322, 21038, 520, 505, 4446, 5426, 27948, 18, 478, 41066, 8811, 18747, 309, 8502, 3022, 31327, 7282, 282, 18248, 16, 510, 9848, 9216, 478, 18418, 287, 478, 48444, 748, 861, 510, 740, 21112, 873, 13473, 282, 1551, 18, 4663, 19092, 32834, 861, 5043, 16, 14668, 453, 289, 322, 10243, 282, 9540, 539, 808, 18, 2320, 43647, 309, 2418, 18, 646, 18, 478, 37864, 485, 4431, 5, 510, 6463, 309, 1360, 7759, 282, 469, 40484, 26060, 11282, 1819, 8790, 18, 510, 11849, 6384, 434, 10601, 656, 475, 764, 282, 24064, 2557, 18, 889, 475, 411, 17, 431, 8501, 2009, 8621, 16, 14010, 17, 26376, 7716, 347, 18, 1303, 9093, 16, 515, 13860, 16, 374, 1299, 2240, 2915, 18, 16723, 339, 6335, 8156, 360, 473, 482, 7126, 13, 32277, 289, 28918, 624, 18, 25037, 8831, 1304, 282, 11069, 4271, 25740, 282, 10666, 14668, 1038, 322, 15162, 18, 47070, 1157, 5129, 24299, 22581, 19588, 1512, 510, 25656, 1051, 16, 14824, 289, 12420, 11228, 16, 961, 6498, 309, 4126, 18, 478, 2176, 44066, 7970, 4316, 14245, 510, 2616, 17, 299, 24311, 467, 322, 1248, 3821, 3704, 305, 26848, 16, 2616, 17, 299, 34728, 2319, 4427, 16, 329, 2616, 17, 299, 1329, 322, 34728, 18, 29598, 347, 2294, 322, 7187, 36495, 2141, 282, 8794, 5129, 16, 764, 322, 282, 3049, 18, 740, 47503, 17, 11488, 315, 475, 726, 8056, 910, 510, 3110, 282, 457, 6397, 1138, 5854, 20783, 1734, 3463, 11758, 15665, 349, 34670, 12284, 4568, 2593, 18, 38051, 1666, 20256, 26485, 9321, 16, 374, 5522, 13516, 322, 840, 16, 515, 5747, 12374, 16, 374, 13143, 519, 4319, 1326, 322, 32319, 282, 1551, 6034, 1101, 18, 478, 36865, 8643, 415, 5246, 15003, 718, 3700, 24064, 680, 1767, 16, 510, 3828, 478, 46088, 18, 8381, 470, 6907, 5269, 18, 510, 1345, 27797, 3781, 17, 38402, 5129, 861, 478, 40722, 6528, 18, 1303, 764, 7614, 339, 19683, 10744, 910, 510, 11661, 282, 3177, 457, 6397, 1138, 26060, 11282, 1819, 8790, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 1790, 14928, 1970, 1275, 411, 5649, 560, 20908, 39247, 282, 3569, 665, 14764, 365, 17537, 289, 16337, 39473, 411, 1543, 4938, 434, 6617, 16, 351, 6954, 5849, 39050, 18, 1606, 20967, 309, 30498, 282, 4391, 10145, 282, 391, 28925, 289, 27590, 282, 1680, 368, 288, 2837, 9510, 567, 808, 21958, 18, 30491, 49142, 8231, 1576, 857, 16, 374, 15492, 341, 6367, 11220, 18, 31224, 30, 36764, 783, 2001, 3569, 665, 17251, 365, 6074, 6347, 1788, 26058, 477, 9490, 3376, 16, 282, 2114, 20146, 6501, 6814, 415, 7641, 2176, 5649, 560, 18, 1606, 20967, 309, 30498, 282, 18168, 49513, 6132, 17, 983, 20746, 950, 391, 28925, 282, 12441, 668, 4391, 10145, 18, 20833, 282, 11084, 4856, 8164, 43992, 2396, 454, 282, 3569, 665, 14764, 365, 17537, 16, 289, 44604, 873, 5658, 18958, 282, 1680, 368, 288, 2837, 9510, 28214, 3633, 18, 478, 677, 3709, 411, 9510, 1251, 2872, 289, 14638, 28385, 27031, 16910, 709, 13013, 16, 1029, 10353, 6448, 9132, 309, 9558, 451, 31278, 16, 510, 40530, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 11552, 8231, 334, 27001, 2818, 10020, 18, 510, 30781, 2798 ]
[ 266, 11540, 309, 30763, 25426, 510, 745, 44094, 751, 861, 4824, 411, 14928, 1970, 1275, 43331, 9572, 282, 2641, 48652, 9510, 478, 390, 298, 597, 3910, 470, 510, 2303, 411, 3411, 15969, 18, 1598, 17, 431, 3100, 2035, 8697, 16, 2282, 35803, 9645, 289, 26192, 47214, 16, 1749, 387, 20517, 309, 8406, 18, 640, 803, 12367, 1891, 322, 19011, 18, 4712, 14789, 17556, 18958, 282, 28531, 4009, 16, 753, 15092, 4511, 3162, 7080, 18, 7743, 19740, 519, 47636, 32764, 16, 289, 8210, 5261, 3402, 8243, 5303, 37004, 751, 309, 14928, 1970, 1275, 18, 365, 6031, 1176, 411, 1129, 10760, 1543, 4938, 451, 9234, 289, 6844, 39473, 18, 824, 3761, 33515, 7920, 16, 349, 5472, 35422, 1500, 575, 14928, 1970, 1577, 16, 1029, 43331, 9572, 2303, 18, 45995, 6222, 414, 1421, 25665, 16, 282, 3198, 1660, 685, 8959, 3022, 451, 21020, 509, 18, 478, 4441, 4322, 16, 28975, 13317, 975, 282, 3133, 910, 510, 40530, 282, 6233, 27001, 718, 6456, 18, 41242, 2508, 309, 1756, 13631, 8811, 13917, 37268, 17, 13715, 1161, 5119, 18137, 1209, 6367, 11220, 18, 3688, 28942, 685, 37527, 282, 33027, 10996, 13331, 15505, 15064, 18, 478, 30674, 924, 16, 40801, 3711, 22562, 3961, 6661, 411, 6814, 415, 7641, 2176, 16, 453, 428, 492, 3619, 282, 3332, 582, 20090, 448, 19082, 18, 7409, 14928, 1970, 1577, 1320, 21036, 282, 3332, 582, 16, 515, 505, 17336, 898, 322, 4116, 15649, 910, 510, 16170, 282, 6233, 18, 478, 25095, 17434, 16, 374, 8811, 311, 1060, 10706, 415, 7641, 2176, 8761, 1166, 11928, 12535, 282, 9510, 910, 510, 34259, 282, 3781, 17, 12495, 11552, 8231, 334, 27001, 2818, 10020, 18, 3492, 1717, 32244, 16, 1314, 4511, 10531, 36560, 18, 478, 4408, 19983, 13229, 994, 9164, 17456, 33515, 7920, 2407, 334, 27001, 2818, 10020, 11371, 5072, 1697, 4562, 18205, 18, 385, 2223, 13631, 39152, 276, 28975, 289, 1871, 22385, 936, 360, 23957, 50149, 18, 365, 4675, 808, 281, 1131, 16807, 8309, 282, 41938, 7393, 36560, 910, 510, 5130, 282, 9907, 11925, 18, 4530, 867, 9770, 11552, 8231, 334, 20902, 457, 650, 726, 32556, 16, 374, 15369, 5252, 1131, 42012, 282, 3332, 582, 6814, 18, 478, 630, 9544, 4201, 1629, 1569, 19790, 8231, 334, 20902, 457, 650, 18, 5283, 10783, 9246, 1552, 334, 20902, 457, 650, 38947, 12441, 549, 18205, 18, 365, 4599, 6814, 16, 41869, 2339, 17161, 489, 448, 3193, 16, 282, 10264, 808, 840, 7239, 3003, 381, 15369, 7025, 697, 411, 6431, 9246, 1552, 910, 510, 5130, 282, 9907, 16062, 680, 6233, 18, 832, 41263, 3595, 19633, 14928, 1970, 1275, 1747, 6244, 4633, 294, 30020, 14667, 8217, 18, 478, 677, 6744, 763, 415, 7641, 2176, 840, 24632, 18205, 12094, 262, 17, 275, 7011, 1004, 4946, 1810, 910, 510, 13462, 282, 9907, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 6608, 3655, 11918, 36059, 8900, 2524, 2009, 5115, 478, 27874, 18, 3782, 431, 17516, 343, 470, 510, 48452, 12496, 523, 18, 1268, 11445, 9621, 649, 1756, 282, 11671, 10649, 2438, 764, 16859, 30, 22308, 4128, 34611, 1920, 702, 281, 4413, 309, 2059, 13297, 16, 367, 411, 5690, 12296, 2524, 20994, 38331, 895, 7146, 1472, 2236, 18, 31224, 30, 2176, 13519, 11056, 31089, 3560, 2518, 4523, 11918, 36059, 8900, 2524, 2009, 11338, 478, 27874, 470, 510, 15470, 839, 30970, 2150, 16, 334, 12821, 1639, 475, 11620, 1157, 8074, 326, 282, 1617, 4966, 334, 1912, 21166, 2466, 18, 1787, 6367, 24820, 1176, 411, 3322, 20063, 289, 17521, 30386, 510, 48452, 12496, 523, 16, 5938, 14857, 1754, 475, 11815, 12219, 309, 4733, 10967, 18, 640, 566, 1157, 5115, 510, 3495, 419, 16, 34989, 11170, 947, 16, 4210, 1034, 392, 483, 289, 10121, 44995, 20716, 510, 424, 12784, 1634, 10867, 13752, 309, 12296, 16, 3279, 17674, 23683, 282, 1771, 599, 2662, 18, 365, 5421, 11918, 16, 30901, 15778, 26310, 16, 25093, 639, 6886, 1472, 6661, 411, 1949, 2524, 20994, 16, 367, 4106, 1717, 510, 481, 3003, 8477, 349, 478, 5945, 409, 2608, 861, 2080, 6545, 309, 32190, 1702, 9851, 7451, 11009, 4966, 27585, 44995, 20716, 33056, 14527, 37456, 289, 9045, 27907, 632, 4640, 14475, 281, 8562, 2206, 478, 15309, 16142, 282, 16195, 987, 299, 470, 32030, 43343, 625, 18, 4342, 6001, 345, 507, 18, 26380, 265, 16170, 16, 374, 632, 4640, 14475, 16, 10265, 7813, 3347, 16, 2564, 24410, 10173, 18245, 1694, 289, 1460, 10723, 8735, 18, 44995, 20716, 371, 803, 9299, 16, 374, 9774, 23414, 6485, 478, 4743, 31147, 861, 999, 1878, 743, 43546, 7032, 25539, 16, 632, 4640, 14475, 6382, 2915, 18, 42172, 349, 2990, 9555, 282, 11671, 10649, 5115, 478, 27874, 470, 34611, 2602, 11009, 4966, 3495, 1262, 36126, 7857, 14479, 289, 4210, 439, 11914, 306, 609, 18, 8859, 28614, 6839, 18804, 10867, 13752, 424, 2537, 34108, 15403, 3463, 33122, 478, 39289, 8852, 22117, 9497, 470, 935, 22100, 11170, 947, 289, 1034, 392, 756, 836, 14817, 282, 7564, 267, 18, 824, 10825, 3818, 15385, 5966, 289, 1649, 6832, 411, 19142, 4167, 44995, 20716, 16, 1029, 322, 687, 47277, 12032, 16, 515, 289, 11836, 773, 309, 11222, 282, 17979, 18, 996, 16, 32190, 28794, 1469, 272, 2538, 8920, 957, 349, 478, 283, 1636, 788, 315, 14377, 668, 470, 3871, 4276, 279, 427, 18, 2046, 16, 4813, 309, 475, 26854, 16, 3495, 419, 4263, 9774, 2827, 764, 1176, 9700, 18, 12250, 982, 309, 1702, 9851, 7451, 11009, 4966, 15465, 3463, 478, 36898, 6284, 470, 3883, 669, 324, 46886, 3583, 289, 4210, 421, 897, 354, 18, 1606, 2417, 3457, 7644, 478, 2176, 466, 12753, 470, 3463, 26942, 25666, 1845, 394, 38230, 225, 861, 7249, 309, 502, 16, 374, 20256, 4442, 2853, 334, 8698, 2095, 2524, 1924, 5024, 421, 897, 354, 16, 1034, 392, 483, 7236, 27749, 472, 897, 4172, 16, 32949, 16, 374, 478, 275, 1379, 469, 339, 7989, 27744, 4457, 3853, 22423, 1513, 13581, 861, 999, 808, 8547, 294, 9872, 277, 11620, 1157, 289, 697, 21166, 2497, 726, 10469, 33849, 702, 294, 6527, 289, 1852, 9468, 9188, 15825, 16, 2391, 541, 3725, 4075, 282, 4356, 924, 670, 13793, 10867, 3150, 581, 2919, 22887, 18, 5333, 4167, 3260, 1251, 21298, 4966, 11170, 947, 7974, 304, 10989, 1000, 22495, 289, 11106, 2368, 3883, 7309, 2509, 16, 961, 2417, 3457, 15403, 478, 38, 863, 2751, 1419, 470, 3463, 21105, 1366, 2426, 14553, 1366, 4545, 18, 3873, 420, 1159, 4618, 2914, 3323, 576, 18804, 10867, 13752, 16, 374, 678, 1039, 6002, 977, 289, 9321, 16, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 266, 11540, 309, 30763, 25426, 510, 745, 44094, 751, 861, 4824, 411, 14928, 1970, 1275, 43331, 9572, 282, 2641, 48652, 9510, 478, 390, 298, 597, 3910, 470, 510, 2303, 411, 3411, 15969, 18, 1598, 17, 431, 3100, 2035, 8697, 16, 2282, 35803, 9645, 289, 26192, 47214, 16, 1749, 387, 20517, 309, 8406, 18, 640, 803, 12367, 1891, 322, 19011, 18, 4712, 14789, 17556, 18958, 282, 28531, 4009, 16, 753, 15092, 4511, 3162, 7080, 18, 7743, 19740, 519, 47636, 32764, 16, 289, 8210, 5261, 3402, 8243, 5303, 37004, 751, 309, 14928, 1970, 1275, 18, 365, 6031, 1176, 411, 1129, 10760, 1543, 4938, 451, 9234, 289, 6844, 39473, 18, 824, 3761, 33515, 7920, 16, 349, 5472, 35422, 1500, 575, 14928, 1970, 1577, 16, 1029, 43331, 9572, 2303, 18, 45995, 6222, 414, 1421, 25665, 16, 282, 3198, 1660, 685, 8959, 3022, 451, 21020, 509, 18, 478, 4441, 4322, 16, 28975, 13317, 975, 282, 3133, 910, 510, 40530, 282, 6233, 27001, 718, 6456, 18, 41242, 2508, 309, 1756, 13631, 8811, 13917, 37268, 17, 13715, 1161, 5119, 18137, 1209, 6367, 11220, 18, 3688, 28942, 685, 37527, 282, 33027, 10996, 13331, 15505, 15064, 18, 478, 30674, 924, 16, 40801, 3711, 22562, 3961, 6661, 411, 6814, 415, 7641, 2176, 16, 453, 428, 492, 3619, 282, 3332, 582, 20090, 448, 19082, 18, 7409, 14928, 1970, 1577, 1320, 21036, 282, 3332, 582, 16, 515, 505, 17336, 898, 322, 4116, 15649, 910, 510, 16170, 282, 6233, 18, 478, 25095, 17434, 16, 374, 8811, 311, 1060, 10706, 415, 7641, 2176, 8761, 1166, 11928, 12535, 282, 9510, 910, 510, 34259, 282, 3781, 17, 12495, 11552, 8231, 334, 27001, 2818, 10020, 18, 3492, 1717, 32244, 16, 1314, 4511, 10531, 36560, 18, 478, 4408, 19983, 13229, 994, 9164, 17456, 33515, 7920, 2407, 334, 27001, 2818, 10020, 11371, 5072, 1697, 4562, 18205, 18, 385, 2223, 13631, 39152, 276, 28975, 289, 1871, 22385, 936, 360, 23957, 50149, 18, 365, 4675, 808, 281, 1131, 16807, 8309, 282, 41938, 7393, 36560, 910, 510, 5130, 282, 9907, 11925, 18, 4530, 867, 9770, 11552, 8231, 334, 20902, 457, 650, 726, 32556, 16, 374, 15369, 5252, 1131, 42012, 282, 3332, 582, 6814, 18, 478, 630, 9544, 4201, 1629, 1569, 19790, 8231, 334, 20902, 457, 650, 18, 5283, 10783, 9246, 1552, 334, 20902, 457, 650, 38947, 12441, 549, 18205, 18, 365, 4599, 6814, 16, 41869, 2339, 17161, 489, 448, 3193, 16, 282, 10264, 808, 840, 7239, 3003, 381, 15369, 7025, 697, 411, 6431, 9246, 1552, 910, 510, 5130, 282, 9907, 16062, 680, 6233, 18, 832, 41263, 3595, 19633, 14928, 1970, 1275, 1747, 6244, 4633, 294, 30020, 14667, 8217, 18, 478, 677, 6744, 763, 415, 7641, 2176, 840, 24632, 18205, 12094, 262, 17, 275, 7011, 1004, 4946, 1810, 910, 510, 13462, 282, 9907, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 6608, 3655, 11918, 36059, 8900, 2524, 2009, 5115, 478, 27874, 18, 3782, 431, 17516, 343, 470, 510, 48452, 12496, 523, 18, 1268, 11445, 9621, 649, 1756, 282, 11671, 10649, 2438, 764, 16859, 30, 22308, 4128, 34611, 1920, 702, 281, 4413, 309, 2059, 13297, 16, 367, 411, 5690, 12296, 2524, 20994, 38331, 895, 7146, 1472, 2236, 18, 31224, 30, 2176, 13519, 11056, 31089, 3560, 2518, 4523, 11918, 36059, 8900, 2524, 2009, 11338, 478, 27874, 470, 510, 15470, 839, 30970, 2150, 16, 334, 12821, 1639, 475, 11620, 1157, 8074, 326, 282, 1617, 4966, 334, 1912, 21166, 2466, 18, 1787, 6367, 24820, 1176, 411, 3322, 20063, 289, 17521, 30386, 510, 48452, 12496, 523, 16, 5938, 14857, 1754, 475, 11815, 12219, 309, 4733, 10967, 18, 640, 566, 1157, 5115, 510, 3495, 419, 16, 34989, 11170, 947, 16, 4210, 1034, 392, 483, 289, 10121, 44995, 20716, 510, 424, 12784, 1634, 10867, 13752, 309, 12296, 16, 3279, 17674, 23683, 282, 1771, 599, 2662, 18, 365, 5421, 11918, 16, 30901, 15778, 26310, 16, 25093, 639, 6886, 1472, 6661, 411, 1949, 2524, 20994, 16, 367, 4106, 1717, 510, 481, 3003, 8477, 349, 478, 5945, 409, 2608, 861, 2080, 6545, 309, 32190, 1702, 9851, 7451, 11009, 4966, 27585, 44995, 20716, 33056, 14527, 37456, 289, 9045, 27907, 632, 4640, 14475, 281, 8562, 2206, 478, 15309, 16142, 282, 16195, 987, 299, 470, 32030, 43343, 625, 18, 4342, 6001, 345, 507, 18, 26380, 265, 16170, 16, 374, 632, 4640, 14475, 16, 10265, 7813, 3347, 16, 2564, 24410, 10173, 18245, 1694, 289, 1460, 10723, 8735, 18, 44995, 20716, 371, 803, 9299, 16, 374, 9774, 23414, 6485, 478, 4743, 31147, 861, 999, 1878, 743, 43546, 7032, 25539, 16, 632, 4640, 14475, 6382, 2915, 18, 42172, 349, 2990, 9555, 282, 11671, 10649, 5115, 478, 27874, 470, 34611, 2602, 11009, 4966, 3495, 1262, 36126, 7857, 14479, 289, 4210, 439, 11914, 306, 609, 18, 8859, 28614, 6839, 18804, 10867, 13752, 424, 2537, 34108, 15403, 3463, 33122, 478, 39289, 8852, 22117, 9497, 470, 935, 22100, 11170, 947, 289, 1034, 392, 756, 836, 14817, 282, 7564, 267, 18, 824, 10825, 3818, 15385, 5966, 289, 1649, 6832, 411, 19142, 4167, 44995, 20716, 16, 1029, 322, 687, 47277, 12032, 16, 515, 289, 11836, 773, 309, 11222, 282, 17979, 18, 996, 16, 32190, 28794, 1469, 272, 2538, 8920, 957, 349, 478, 283, 1636, 788, 315, 14377, 668, 470, 3871, 4276, 279, 427, 18, 2046, 16, 4813, 309, 475, 26854, 16, 3495, 419, 4263, 9774, 2827, 764, 1176, 9700, 18, 12250, 982, 309, 1702, 9851, 7451, 11009, 4966, 15465, 3463, 478, 36898, 6284, 470, 3883, 669, 324, 46886, 3583, 289, 4210, 421, 897, 354, 18, 1606, 2417, 3457, 7644, 478, 2176, 466, 12753, 470, 3463, 26942, 25666, 1845, 394, 38230, 225, 861, 7249, 309, 502, 16, 374, 20256, 4442, 2853, 334, 8698, 2095, 2524, 1924, 5024, 421, 897, 354, 16, 1034, 392, 483, 7236, 27749, 472, 897, 4172, 16, 32949, 16, 374, 478, 275, 1379, 469, 339, 7989, 27744, 4457, 3853, 22423, 1513, 13581, 861, 999, 808, 8547, 294, 9872, 277, 11620, 1157, 289, 697, 21166, 2497, 726, 10469, 33849, 702, 294, 6527, 289, 1852, 9468, 9188, 15825, 16, 2391, 541, 3725, 4075, 282, 4356, 924, 670, 13793, 10867, 3150, 581, 2919, 22887, 18, 5333, 4167, 3260, 1251, 21298, 4966, 11170, 947, 7974, 304, 10989, 1000, 22495, 289, 11106, 2368, 3883, 7309, 2509, 16, 961, 2417, 3457, 15403, 478, 38, 863, 2751, 1419, 470, 3463, 21105, 1366, 2426, 14553, 1366, 4545, 18, 3873, 420, 1159, 4618, 2914, 3323, 576, 18804, 10867, 13752, 16, 374, 678, 1039, 6002, 977, 289, 9321, 16, 374 ]
[ 289, 8695, 322, 3207, 16, 374, 475, 481, 12146, 478, 1243, 1252, 8630, 861, 824, 8872, 11815, 11170, 947, 281, 6525, 39728, 1595, 3260, 309, 11106, 944, 18, 12824, 411, 3322, 21449, 25574, 36059, 10390, 540, 5121, 18804, 1951, 2543, 4966, 3495, 1262, 9045, 950, 6606, 1615, 680, 16, 15590, 4028, 309, 6104, 10649, 15403, 478, 37660, 445, 470, 852, 17, 1035, 26712, 478, 780, 913, 13233, 910, 289, 2215, 394, 999, 890, 2611, 16, 25586, 35676, 309, 15470, 770, 30970, 2150, 292, 4070, 5799, 45668, 2314, 18, 365, 1177, 445, 6556, 3118, 8018, 326, 6542, 293, 1528, 264, 16, 9635, 659, 1089, 10700, 1385, 4717, 16, 289, 2417, 3457, 49733, 13856, 29077, 3463, 907, 51, 59, 37, 478, 672, 19525, 28974, 861, 39878, 7032, 25539, 3118, 720, 45805, 281, 23669, 3495, 1262, 16, 45587, 1081, 999, 890, 2611, 18, 13057, 322, 8097, 16, 374, 1034, 392, 269, 289, 3495, 419, 322, 38937, 1190, 289, 309, 46144, 12496, 523, 16, 289, 7004, 549, 16, 367, 1038, 14569, 549, 13521, 7032, 25539, 15177, 701, 282, 970, 575, 16712, 18, 365, 6588, 360, 27585, 44995, 20716, 4210, 9904, 322, 13117, 13910, 1128, 405, 5860, 5559, 282, 4459, 1634, 12360, 18, 996, 16, 334, 4734, 1034, 392, 756, 45668, 872, 272, 322, 3225, 26877, 32190, 10060, 12706, 18, 478, 12134, 326, 373, 387, 282, 3212, 10434, 16, 417, 373, 1574, 8735, 1337, 322, 4263, 910, 510, 2815, 11338, 503, 18, 832, 26008, 309, 46304, 289, 749, 18642, 13368, 18, 439, 487, 3015, 3589, 17163, 21166, 2466, 44995, 20716, 2502, 10516, 403, 7954, 16821, 289, 640, 21796, 528, 512, 7016, 8582, 1143, 1223, 22522, 857, 34989, 11170, 947, 18, 3873, 10038, 14350, 6818, 2524, 20994, 349, 4116, 39200, 3732, 18804, 18, 478, 4441, 49196, 40470, 24450, 510, 10187, 678, 18, 365, 15614, 6031, 3260, 44995, 20716, 6204, 309, 2502, 10516, 18, 2333, 6809, 755, 1038, 9299, 16, 374, 510, 4813, 309, 1435, 4367, 3003, 510, 492, 2259, 28927, 281, 2524, 414, 5364, 289, 349, 13952, 5115, 18, 824, 8872, 4056, 2095, 16423, 10711, 7193, 11620, 1051, 520, 17091, 334, 3437, 31082, 18, 24563, 309, 17229, 19988, 764, 1033, 22933, 13438, 13521, 349, 2990, 1852, 12916, 6485, 2553, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 9613, 29790, 3720, 8858, 2142, 609, 16, 31769, 28383, 21741, 9806, 282, 378, 21541, 283, 292, 4172, 16, 30682, 1423, 4698, 8955, 309, 33673, 14378, 2422, 334, 9613, 13402, 5841, 1876, 16, 48253, 37902, 6229, 17, 9412, 266, 282, 13328, 1212, 727, 1918, 404, 18, 31224, 30, 42699, 9613, 29790, 3720, 8858, 2142, 609, 1624, 282, 12500, 31769, 28383, 21741, 9806, 282, 378, 21541, 283, 292, 4172, 16, 988, 17060, 2846, 19650, 651, 1421, 44162, 289, 3441, 7610, 1999, 516, 16, 651, 30682, 1423, 4698, 8955, 282, 24087, 18, 365, 13328, 1212, 727, 1918, 404, 16, 988, 282, 3178, 3437, 2868, 12219, 1421, 4101, 25678, 8900, 282, 36976, 2422, 16, 726, 733, 262, 4060, 1712, 15672, 19186, 13036, 30346, 37902, 6229, 17, 9412, 266, 309, 1760, 4017, 18, 478, 34058, 727, 1918, 324, 470, 6640, 411, 3437, 10522, 1452, 281, 18583, 349, 1349, 304, 16423, 18, 2949, 924, 16, 1717, 334, 8872, 19702, 282, 19992, 44108, 865, 26325, 6127, 1742, 349, 1349, 14378, 2422, 18, 5043, 16, 1122, 16816, 607, 13836, 1003, 726, 2944, 16, 3387, 7087, 44547, 282, 9613, 5937, 2309, 282, 28731, 11258, 5834, 2281, 546, 46787, 47506, 363, 1208, 18025, 599, 612, 726, 2341, 3389, 1190, 289, 12540, 17179, 2110, 9304, 948, 16, 289, 16, 2291, 1807, 16, 8955, 282, 10514, 547, 349, 15656, 14378, 2422, 18, 1483, 49073, 10552, 20791, 282, 46841, 464, 16, 33039, 616, 448, 475, 867, 575, 18025, 599, 612, 16, 1472, 23051, 505, 1500, 2110, 590, 7121, 289, 282, 349, 15656, 7253, 30939, 16, 988, 492, 282, 6031, 478, 960, 24651, 470, 18101, 3436, 23, 26654, 3429, 3326, 16865, 7813, 1159, 5819, 1633, 405, 378, 310, 3002, 312, 315, 18, 9617, 1143, 16816, 607, 639, 282, 9220, 2529, 2123, 3990, 6229, 17, 9412, 464, 16, 867, 1033, 374, 282, 349, 15656, 13774, 4568, 5841, 368, 7387, 13521, 1251, 19883, 3347, 981, 27907, 4402, 3035, 355, 289, 26923, 3347, 31793, 547, 5875, 13823, 945, 304, 385, 13278, 8853, 18, 5181, 16, 40975, 25678, 5543, 4118, 46349, 2458, 322, 745, 18, 385, 25234, 349, 8955, 282, 16876, 6229, 17, 9412, 464, 8900, 7820, 18667, 17938, 289, 5683, 7150, 309, 3709, 5997, 750, 18, 385, 5606, 4995, 23837, 31992, 14851, 575, 462, 3181, 1712, 13521, 16, 6177, 36708, 282, 1420, 3872, 20641, 7124, 4786, 21658, 18, 365, 2875, 11443, 282, 8933, 13764, 22752, 1294, 1960, 11854, 30, 3720, 8858, 2142, 609, 16, 3720, 29047, 788, 7113, 1624, 6096, 4015, 10148, 2931, 1624, 14179, 14998, 2279, 16, 10618, 33334, 1624, 4944, 586, 5203, 523, 289, 6729, 1012, 3002, 626, 3141, 18, 996, 28706, 519, 8508, 30946, 16, 785, 3521, 14456, 1364, 18871, 12983, 13328, 8553, 426, 17592, 1353, 29499, 18, 403, 2222, 18254, 4786, 13764, 726, 1293, 396, 2752, 701, 16, 515, 282, 1420, 475, 3066, 8477, 3215, 1269, 21658, 18, 4246, 671, 266, 588, 546, 347, 16, 5069, 451, 282, 1479, 7376, 2083, 16, 2091, 16, 322, 6088, 31313, 10493, 25014, 16, 1215, 687, 17126, 1364, 18871, 3225, 1472, 8858, 2142, 28499, 18, 3771, 16028, 45730, 639, 6392, 16, 515, 492, 16, 282, 6588, 360, 7842, 16, 475, 17, 2767, 28776, 811, 349, 17592, 1353, 1265, 853, 18, 5093, 8097, 16, 374, 8858, 2142, 609, 2141, 16, 4213, 16, 4424, 7609, 31031, 516, 5841, 454, 360, 289, 519, 16, 47650, 281, 3290, 275, 453, 2328, 289, 22958, 743, 1617, 3402, 334, 23837, 18, 7914, 5943, 286, 32123, 2587, 36082, 282, 378, 21541, 283, 292, 4172, 16, 988, 3720, 4011, 373, 31986, 4024, 16, 515, 282, 6031, 25469, 1717, 453, 2328, 289, 6088, 687, 281, 42536, 16, 1830, 583, 26661, 309, 24982, 14742, 21717, 18, 439, 1736, 266, 5159, 448, 17494, 607, 16, 785, 282, 6031, 975, 322, 9929, 1333, 309, 5462, 454, 16, 3721, 887, 329, 8858, 2142, 1043, 289, 282, 5841, 1165, 14378, 2422, 978, 8900, 18, 439, 1215, 282, 727, 1918, 404, 9805, 9613, 29790, 16, 2412, 1815, 11464, 1756, 1011, 18025, 599, 612, 282, 10514, 547, 349, 15656, 14378, 2422, 289, 13150, 4367, 282, 1500, 962, 16, 7846, 965, 325, 298, 7213, 36260, 16, 3279, 505, 289, 6696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 8695, 322, 3207, 16, 374, 475, 481, 12146, 478, 1243, 1252, 8630, 861, 824, 8872, 11815, 11170, 947, 281, 6525, 39728, 1595, 3260, 309, 11106, 944, 18, 12824, 411, 3322, 21449, 25574, 36059, 10390, 540, 5121, 18804, 1951, 2543, 4966, 3495, 1262, 9045, 950, 6606, 1615, 680, 16, 15590, 4028, 309, 6104, 10649, 15403, 478, 37660, 445, 470, 852, 17, 1035, 26712, 478, 780, 913, 13233, 910, 289, 2215, 394, 999, 890, 2611, 16, 25586, 35676, 309, 15470, 770, 30970, 2150, 292, 4070, 5799, 45668, 2314, 18, 365, 1177, 445, 6556, 3118, 8018, 326, 6542, 293, 1528, 264, 16, 9635, 659, 1089, 10700, 1385, 4717, 16, 289, 2417, 3457, 49733, 13856, 29077, 3463, 907, 51, 59, 37, 478, 672, 19525, 28974, 861, 39878, 7032, 25539, 3118, 720, 45805, 281, 23669, 3495, 1262, 16, 45587, 1081, 999, 890, 2611, 18, 13057, 322, 8097, 16, 374, 1034, 392, 269, 289, 3495, 419, 322, 38937, 1190, 289, 309, 46144, 12496, 523, 16, 289, 7004, 549, 16, 367, 1038, 14569, 549, 13521, 7032, 25539, 15177, 701, 282, 970, 575, 16712, 18, 365, 6588, 360, 27585, 44995, 20716, 4210, 9904, 322, 13117, 13910, 1128, 405, 5860, 5559, 282, 4459, 1634, 12360, 18, 996, 16, 334, 4734, 1034, 392, 756, 45668, 872, 272, 322, 3225, 26877, 32190, 10060, 12706, 18, 478, 12134, 326, 373, 387, 282, 3212, 10434, 16, 417, 373, 1574, 8735, 1337, 322, 4263, 910, 510, 2815, 11338, 503, 18, 832, 26008, 309, 46304, 289, 749, 18642, 13368, 18, 439, 487, 3015, 3589, 17163, 21166, 2466, 44995, 20716, 2502, 10516, 403, 7954, 16821, 289, 640, 21796, 528, 512, 7016, 8582, 1143, 1223, 22522, 857, 34989, 11170, 947, 18, 3873, 10038, 14350, 6818, 2524, 20994, 349, 4116, 39200, 3732, 18804, 18, 478, 4441, 49196, 40470, 24450, 510, 10187, 678, 18, 365, 15614, 6031, 3260, 44995, 20716, 6204, 309, 2502, 10516, 18, 2333, 6809, 755, 1038, 9299, 16, 374, 510, 4813, 309, 1435, 4367, 3003, 510, 492, 2259, 28927, 281, 2524, 414, 5364, 289, 349, 13952, 5115, 18, 824, 8872, 4056, 2095, 16423, 10711, 7193, 11620, 1051, 520, 17091, 334, 3437, 31082, 18, 24563, 309, 17229, 19988, 764, 1033, 22933, 13438, 13521, 349, 2990, 1852, 12916, 6485, 2553, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 9613, 29790, 3720, 8858, 2142, 609, 16, 31769, 28383, 21741, 9806, 282, 378, 21541, 283, 292, 4172, 16, 30682, 1423, 4698, 8955, 309, 33673, 14378, 2422, 334, 9613, 13402, 5841, 1876, 16, 48253, 37902, 6229, 17, 9412, 266, 282, 13328, 1212, 727, 1918, 404, 18, 31224, 30, 42699, 9613, 29790, 3720, 8858, 2142, 609, 1624, 282, 12500, 31769, 28383, 21741, 9806, 282, 378, 21541, 283, 292, 4172, 16, 988, 17060, 2846, 19650, 651, 1421, 44162, 289, 3441, 7610, 1999, 516, 16, 651, 30682, 1423, 4698, 8955, 282, 24087, 18, 365, 13328, 1212, 727, 1918, 404, 16, 988, 282, 3178, 3437, 2868, 12219, 1421, 4101, 25678, 8900, 282, 36976, 2422, 16, 726, 733, 262, 4060, 1712, 15672, 19186, 13036, 30346, 37902, 6229, 17, 9412, 266, 309, 1760, 4017, 18, 478, 34058, 727, 1918, 324, 470, 6640, 411, 3437, 10522, 1452, 281, 18583, 349, 1349, 304, 16423, 18, 2949, 924, 16, 1717, 334, 8872, 19702, 282, 19992, 44108, 865, 26325, 6127, 1742, 349, 1349, 14378, 2422, 18, 5043, 16, 1122, 16816, 607, 13836, 1003, 726, 2944, 16, 3387, 7087, 44547, 282, 9613, 5937, 2309, 282, 28731, 11258, 5834, 2281, 546, 46787, 47506, 363, 1208, 18025, 599, 612, 726, 2341, 3389, 1190, 289, 12540, 17179, 2110, 9304, 948, 16, 289, 16, 2291, 1807, 16, 8955, 282, 10514, 547, 349, 15656, 14378, 2422, 18, 1483, 49073, 10552, 20791, 282, 46841, 464, 16, 33039, 616, 448, 475, 867, 575, 18025, 599, 612, 16, 1472, 23051, 505, 1500, 2110, 590, 7121, 289, 282, 349, 15656, 7253, 30939, 16, 988, 492, 282, 6031, 478, 960, 24651, 470, 18101, 3436, 23, 26654, 3429, 3326, 16865, 7813, 1159, 5819, 1633, 405, 378, 310, 3002, 312, 315, 18, 9617, 1143, 16816, 607, 639, 282, 9220, 2529, 2123, 3990, 6229, 17, 9412, 464, 16, 867, 1033, 374, 282, 349, 15656, 13774, 4568, 5841, 368, 7387, 13521, 1251, 19883, 3347, 981, 27907, 4402, 3035, 355, 289, 26923, 3347, 31793, 547, 5875, 13823, 945, 304, 385, 13278, 8853, 18, 5181, 16, 40975, 25678, 5543, 4118, 46349, 2458, 322, 745, 18, 385, 25234, 349, 8955, 282, 16876, 6229, 17, 9412, 464, 8900, 7820, 18667, 17938, 289, 5683, 7150, 309, 3709, 5997, 750, 18, 385, 5606, 4995, 23837, 31992, 14851, 575, 462, 3181, 1712, 13521, 16, 6177, 36708, 282, 1420, 3872, 20641, 7124, 4786, 21658, 18, 365, 2875, 11443, 282, 8933, 13764, 22752, 1294, 1960, 11854, 30, 3720, 8858, 2142, 609, 16, 3720, 29047, 788, 7113, 1624, 6096, 4015, 10148, 2931, 1624, 14179, 14998, 2279, 16, 10618, 33334, 1624, 4944, 586, 5203, 523, 289, 6729, 1012, 3002, 626, 3141, 18, 996, 28706, 519, 8508, 30946, 16, 785, 3521, 14456, 1364, 18871, 12983, 13328, 8553, 426, 17592, 1353, 29499, 18, 403, 2222, 18254, 4786, 13764, 726, 1293, 396, 2752, 701, 16, 515, 282, 1420, 475, 3066, 8477, 3215, 1269, 21658, 18, 4246, 671, 266, 588, 546, 347, 16, 5069, 451, 282, 1479, 7376, 2083, 16, 2091, 16, 322, 6088, 31313, 10493, 25014, 16, 1215, 687, 17126, 1364, 18871, 3225, 1472, 8858, 2142, 28499, 18, 3771, 16028, 45730, 639, 6392, 16, 515, 492, 16, 282, 6588, 360, 7842, 16, 475, 17, 2767, 28776, 811, 349, 17592, 1353, 1265, 853, 18, 5093, 8097, 16, 374, 8858, 2142, 609, 2141, 16, 4213, 16, 4424, 7609, 31031, 516, 5841, 454, 360, 289, 519, 16, 47650, 281, 3290, 275, 453, 2328, 289, 22958, 743, 1617, 3402, 334, 23837, 18, 7914, 5943, 286, 32123, 2587, 36082, 282, 378, 21541, 283, 292, 4172, 16, 988, 3720, 4011, 373, 31986, 4024, 16, 515, 282, 6031, 25469, 1717, 453, 2328, 289, 6088, 687, 281, 42536, 16, 1830, 583, 26661, 309, 24982, 14742, 21717, 18, 439, 1736, 266, 5159, 448, 17494, 607, 16, 785, 282, 6031, 975, 322, 9929, 1333, 309, 5462, 454, 16, 3721, 887, 329, 8858, 2142, 1043, 289, 282, 5841, 1165, 14378, 2422, 978, 8900, 18, 439, 1215, 282, 727, 1918, 404, 9805, 9613, 29790, 16, 2412, 1815, 11464, 1756, 1011, 18025, 599, 612, 282, 10514, 547, 349, 15656, 14378, 2422, 289, 13150, 4367, 282, 1500, 962, 16, 7846, 965, 325, 298, 7213, 36260, 16, 3279, 505, 289, 6696 ]
[ 4641, 5071, 1952, 289, 42215, 18, 1012, 269, 38007, 411, 17, 431, 17174, 17592, 1353, 1265, 853, 16, 8858, 2142, 609, 309, 22607, 466, 40393, 1617, 18494, 46841, 3850, 16, 726, 5641, 16108, 8290, 9613, 5281, 5841, 368, 18, 4922, 16410, 2756, 4056, 541, 3695, 17, 11884, 7179, 39512, 837, 16, 1029, 282, 803, 11258, 28474, 1595, 2615, 24048, 748, 282, 24087, 289, 5354, 31911, 726, 5270, 19543, 1385, 27072, 309, 33673, 14378, 2422, 16, 6895, 7610, 6637, 334, 8872, 3437, 19911, 309, 5572, 10649, 282, 5251, 680, 472, 1285, 582, 18, 5890, 1011, 36082, 8858, 2142, 609, 4445, 2159, 7015, 30293, 282, 26841, 1760, 17, 32592, 3606, 6964, 34042, 1032, 3990, 282, 5251, 1212, 586, 1408, 345, 16, 367, 1441, 6712, 289, 16410, 18, 7106, 16, 374, 8858, 2142, 609, 309, 43035, 20726, 39023, 19650, 282, 3541, 547, 46841, 464, 16, 36201, 781, 289, 3610, 17, 32592, 27282, 304, 32123, 49221, 16, 367, 1038, 7610, 6637, 282, 46841, 464, 5248, 4357, 18, 17592, 1353, 29499, 282, 6031, 25469, 8858, 2142, 28499, 282, 727, 1918, 404, 430, 16, 23, 13053, 16, 367, 24721, 1559, 2614, 38304, 6147, 9833, 22942, 744, 2850, 41308, 16, 8337, 309, 816, 16, 21, 13053, 289, 1965, 2500, 29575, 8694, 39001, 613, 14943, 2227, 1347, 5539, 18, 1397, 5327, 7842, 5781, 39512, 1051, 16, 502, 4015, 10148, 2931, 22607, 460, 3064, 282, 529, 25882, 845, 34042, 8900, 309, 1061, 17, 277, 2468, 16, 29047, 788, 7113, 1559, 1912, 17, 277, 18, 33334, 16, 1012, 3002, 626, 3141, 16, 586, 5203, 523, 289, 14998, 2279, 36784, 282, 2343, 6740, 289, 4056, 11678, 11202, 16885, 36310, 16, 515, 2504, 411, 1129, 322, 38506, 1033, 828, 309, 1939, 7264, 18, 889, 4748, 281, 3217, 4947, 4611, 16, 374, 708, 35630, 9318, 14378, 2422, 1281, 3990, 1760, 17, 32592, 3606, 23079, 850, 357, 467, 18, 20012, 16, 374, 10122, 282, 1169, 840, 31556, 16, 32293, 16171, 309, 7653, 6441, 282, 34042, 1747, 329, 9361, 1887, 322, 3453, 19621, 26841, 6657, 14998, 14954, 1624, 1220, 10250, 371, 803, 14449, 536, 34316, 282, 478, 2499, 278, 582, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 3041, 13650, 277, 778, 26311, 14145, 13880, 1263, 478, 37075, 470, 294, 3285, 2818, 478, 46625, 38547, 272, 470, 290, 28361, 4513, 40429, 309, 31438, 289, 35185, 8697, 18, 9668, 7583, 2241, 6096, 36439, 3828, 16, 374, 726, 10243, 17685, 18362, 25783, 455, 18, 817, 1038, 2548, 16, 374, 1055, 322, 639, 19739, 1378, 11738, 334, 2303, 2509, 7546, 281, 12070, 7597, 289, 2665, 18, 10118, 16, 1660, 3957, 9422, 478, 18306, 910, 481, 18172, 34279, 7405, 16, 1029, 1011, 4075, 37553, 429, 2119, 2365, 282, 2580, 14512, 18, 31224, 30, 16443, 355, 36439, 4518, 4209, 3828, 16, 374, 10243, 17685, 25783, 455, 37553, 277, 718, 17771, 3784, 334, 46837, 11666, 478, 37075, 470, 290, 28361, 4513, 282, 32995, 2849, 1612, 24951, 40429, 281, 478, 46625, 38547, 304, 2665, 470, 309, 31438, 289, 35185, 8697, 18, 817, 1858, 9299, 16, 374, 6502, 1687, 3003, 37553, 277, 718, 17771, 3784, 334, 4679, 6231, 2675, 510, 309, 31438, 289, 309, 35185, 510, 478, 919, 435, 11119, 406, 24861, 3328, 289, 21729, 2175, 6723, 857, 23144, 7405, 4546, 861, 7106, 16, 374, 334, 8872, 7649, 13816, 19186, 3785, 8824, 2879, 478, 46625, 38547, 272, 470, 4843, 22, 16, 10207, 5096, 18, 478, 18306, 470, 19749, 1838, 271, 3003, 17771, 483, 282, 32463, 15459, 12564, 13328, 718, 8747, 27930, 264, 18, 640, 9185, 31690, 20141, 24492, 3785, 12698, 16, 374, 35467, 2301, 4075, 906, 27819, 24721, 5948, 16, 374, 24829, 15131, 18, 6158, 5930, 364, 16, 374, 17163, 4075, 37553, 429, 1381, 29159, 649, 18, 478, 46625, 38547, 470, 2089, 29159, 454, 36462, 19749, 1838, 271, 289, 1531, 364, 4036, 1853, 5998, 334, 22279, 1433, 978, 16178, 16, 7206, 44956, 2303, 8764, 291, 1133, 31294, 282, 22336, 16, 21700, 5706, 289, 10676, 18, 365, 2241, 6881, 16, 374, 3003, 13328, 718, 5545, 434, 5129, 322, 23425, 309, 42694, 2553, 18, 11819, 1742, 10366, 268, 13875, 1263, 289, 290, 28361, 4513, 24951, 40429, 473, 408, 3017, 9293, 7416, 282, 2343, 26155, 779, 934, 753, 322, 26780, 2666, 478, 22528, 8262, 5158, 470, 7405, 10287, 758, 10556, 1134, 349, 11826, 17, 2225, 29, 3142, 16, 961, 895, 34835, 478, 46625, 38547, 910, 19790, 1579, 14620, 37553, 429, 18, 37553, 277, 778, 26311, 16435, 300, 478, 18306, 470, 13006, 9654, 519, 9293, 1489, 12783, 35185, 432, 35664, 16820, 3400, 8697, 1248, 13012, 651, 322, 2619, 22651, 5096, 7285, 308, 282, 1205, 282, 11826, 17, 1618, 6968, 16, 41988, 29846, 6357, 12189, 416, 3463, 1902, 42362, 12507, 34216, 778, 18, 967, 803, 478, 46625, 38547, 470, 39205, 309, 35885, 35185, 432, 34530, 309, 3425, 16, 374, 8350, 975, 3604, 349, 13006, 2606, 322, 4843, 22, 16, 25, 5096, 16, 367, 4843, 23, 16, 27, 5096, 349, 1205, 18, 1563, 19767, 12483, 478, 313, 356, 2311, 2712, 282, 25909, 867, 28920, 16, 374, 16, 827, 478, 18306, 470, 3085, 3213, 13006, 2606, 322, 2619, 22651, 5096, 7285, 308, 8697, 282, 1205, 289, 1011, 9293, 1489, 35185, 434, 20194, 16, 22225, 3085, 9496, 309, 42394, 5066, 861, 478, 35172, 16, 374, 282, 4542, 978, 8165, 16, 282, 1750, 827, 1743, 840, 9258, 506, 5287, 282, 4356, 7583, 1963, 16, 478, 46625, 38547, 470, 12146, 1033, 13117, 17450, 282, 10355, 46401, 552, 3462, 18, 7075, 16384, 300, 510, 481, 3147, 8820, 539, 3003, 541, 23629, 4767, 15965, 282, 803, 7649, 21732, 910, 510, 5273, 12189, 18, 12507, 34216, 778, 2548, 1038, 16, 374, 16, 281, 4947, 4611, 7583, 44257, 2241, 16, 4557, 344, 7216, 25783, 300, 895, 1852, 17817, 3851, 541, 4075, 1791, 16642, 2273, 288, 1004, 8697, 334, 14774, 5939, 18, 478, 18306, 470, 282, 970, 2875, 7476, 2378, 341, 965, 360, 7019, 34530, 289, 13840, 46724, 349, 15566, 303, 3162, 31192, 883, 5129, 18, 740, 5837, 6751, 346, 4075, 334, 6231, 2675, 322, 2353, 18, 6592, 15778, 26310, 37553, 277, 718, 17771, 3784, 16, 3017, 20594, 1552, 4896, 5270, 4776, 16, 2686, 1551, 19229, 349, 1807, 2990, 1103, 917, 28261, 20594, 27567, 16, 41988, 29846, 6357, 11828, 478, 672, 4571, 289, 4211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4641, 5071, 1952, 289, 42215, 18, 1012, 269, 38007, 411, 17, 431, 17174, 17592, 1353, 1265, 853, 16, 8858, 2142, 609, 309, 22607, 466, 40393, 1617, 18494, 46841, 3850, 16, 726, 5641, 16108, 8290, 9613, 5281, 5841, 368, 18, 4922, 16410, 2756, 4056, 541, 3695, 17, 11884, 7179, 39512, 837, 16, 1029, 282, 803, 11258, 28474, 1595, 2615, 24048, 748, 282, 24087, 289, 5354, 31911, 726, 5270, 19543, 1385, 27072, 309, 33673, 14378, 2422, 16, 6895, 7610, 6637, 334, 8872, 3437, 19911, 309, 5572, 10649, 282, 5251, 680, 472, 1285, 582, 18, 5890, 1011, 36082, 8858, 2142, 609, 4445, 2159, 7015, 30293, 282, 26841, 1760, 17, 32592, 3606, 6964, 34042, 1032, 3990, 282, 5251, 1212, 586, 1408, 345, 16, 367, 1441, 6712, 289, 16410, 18, 7106, 16, 374, 8858, 2142, 609, 309, 43035, 20726, 39023, 19650, 282, 3541, 547, 46841, 464, 16, 36201, 781, 289, 3610, 17, 32592, 27282, 304, 32123, 49221, 16, 367, 1038, 7610, 6637, 282, 46841, 464, 5248, 4357, 18, 17592, 1353, 29499, 282, 6031, 25469, 8858, 2142, 28499, 282, 727, 1918, 404, 430, 16, 23, 13053, 16, 367, 24721, 1559, 2614, 38304, 6147, 9833, 22942, 744, 2850, 41308, 16, 8337, 309, 816, 16, 21, 13053, 289, 1965, 2500, 29575, 8694, 39001, 613, 14943, 2227, 1347, 5539, 18, 1397, 5327, 7842, 5781, 39512, 1051, 16, 502, 4015, 10148, 2931, 22607, 460, 3064, 282, 529, 25882, 845, 34042, 8900, 309, 1061, 17, 277, 2468, 16, 29047, 788, 7113, 1559, 1912, 17, 277, 18, 33334, 16, 1012, 3002, 626, 3141, 16, 586, 5203, 523, 289, 14998, 2279, 36784, 282, 2343, 6740, 289, 4056, 11678, 11202, 16885, 36310, 16, 515, 2504, 411, 1129, 322, 38506, 1033, 828, 309, 1939, 7264, 18, 889, 4748, 281, 3217, 4947, 4611, 16, 374, 708, 35630, 9318, 14378, 2422, 1281, 3990, 1760, 17, 32592, 3606, 23079, 850, 357, 467, 18, 20012, 16, 374, 10122, 282, 1169, 840, 31556, 16, 32293, 16171, 309, 7653, 6441, 282, 34042, 1747, 329, 9361, 1887, 322, 3453, 19621, 26841, 6657, 14998, 14954, 1624, 1220, 10250, 371, 803, 14449, 536, 34316, 282, 478, 2499, 278, 582, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 3041, 13650, 277, 778, 26311, 14145, 13880, 1263, 478, 37075, 470, 294, 3285, 2818, 478, 46625, 38547, 272, 470, 290, 28361, 4513, 40429, 309, 31438, 289, 35185, 8697, 18, 9668, 7583, 2241, 6096, 36439, 3828, 16, 374, 726, 10243, 17685, 18362, 25783, 455, 18, 817, 1038, 2548, 16, 374, 1055, 322, 639, 19739, 1378, 11738, 334, 2303, 2509, 7546, 281, 12070, 7597, 289, 2665, 18, 10118, 16, 1660, 3957, 9422, 478, 18306, 910, 481, 18172, 34279, 7405, 16, 1029, 1011, 4075, 37553, 429, 2119, 2365, 282, 2580, 14512, 18, 31224, 30, 16443, 355, 36439, 4518, 4209, 3828, 16, 374, 10243, 17685, 25783, 455, 37553, 277, 718, 17771, 3784, 334, 46837, 11666, 478, 37075, 470, 290, 28361, 4513, 282, 32995, 2849, 1612, 24951, 40429, 281, 478, 46625, 38547, 304, 2665, 470, 309, 31438, 289, 35185, 8697, 18, 817, 1858, 9299, 16, 374, 6502, 1687, 3003, 37553, 277, 718, 17771, 3784, 334, 4679, 6231, 2675, 510, 309, 31438, 289, 309, 35185, 510, 478, 919, 435, 11119, 406, 24861, 3328, 289, 21729, 2175, 6723, 857, 23144, 7405, 4546, 861, 7106, 16, 374, 334, 8872, 7649, 13816, 19186, 3785, 8824, 2879, 478, 46625, 38547, 272, 470, 4843, 22, 16, 10207, 5096, 18, 478, 18306, 470, 19749, 1838, 271, 3003, 17771, 483, 282, 32463, 15459, 12564, 13328, 718, 8747, 27930, 264, 18, 640, 9185, 31690, 20141, 24492, 3785, 12698, 16, 374, 35467, 2301, 4075, 906, 27819, 24721, 5948, 16, 374, 24829, 15131, 18, 6158, 5930, 364, 16, 374, 17163, 4075, 37553, 429, 1381, 29159, 649, 18, 478, 46625, 38547, 470, 2089, 29159, 454, 36462, 19749, 1838, 271, 289, 1531, 364, 4036, 1853, 5998, 334, 22279, 1433, 978, 16178, 16, 7206, 44956, 2303, 8764, 291, 1133, 31294, 282, 22336, 16, 21700, 5706, 289, 10676, 18, 365, 2241, 6881, 16, 374, 3003, 13328, 718, 5545, 434, 5129, 322, 23425, 309, 42694, 2553, 18, 11819, 1742, 10366, 268, 13875, 1263, 289, 290, 28361, 4513, 24951, 40429, 473, 408, 3017, 9293, 7416, 282, 2343, 26155, 779, 934, 753, 322, 26780, 2666, 478, 22528, 8262, 5158, 470, 7405, 10287, 758, 10556, 1134, 349, 11826, 17, 2225, 29, 3142, 16, 961, 895, 34835, 478, 46625, 38547, 910, 19790, 1579, 14620, 37553, 429, 18, 37553, 277, 778, 26311, 16435, 300, 478, 18306, 470, 13006, 9654, 519, 9293, 1489, 12783, 35185, 432, 35664, 16820, 3400, 8697, 1248, 13012, 651, 322, 2619, 22651, 5096, 7285, 308, 282, 1205, 282, 11826, 17, 1618, 6968, 16, 41988, 29846, 6357, 12189, 416, 3463, 1902, 42362, 12507, 34216, 778, 18, 967, 803, 478, 46625, 38547, 470, 39205, 309, 35885, 35185, 432, 34530, 309, 3425, 16, 374, 8350, 975, 3604, 349, 13006, 2606, 322, 4843, 22, 16, 25, 5096, 16, 367, 4843, 23, 16, 27, 5096, 349, 1205, 18, 1563, 19767, 12483, 478, 313, 356, 2311, 2712, 282, 25909, 867, 28920, 16, 374, 16, 827, 478, 18306, 470, 3085, 3213, 13006, 2606, 322, 2619, 22651, 5096, 7285, 308, 8697, 282, 1205, 289, 1011, 9293, 1489, 35185, 434, 20194, 16, 22225, 3085, 9496, 309, 42394, 5066, 861, 478, 35172, 16, 374, 282, 4542, 978, 8165, 16, 282, 1750, 827, 1743, 840, 9258, 506, 5287, 282, 4356, 7583, 1963, 16, 478, 46625, 38547, 470, 12146, 1033, 13117, 17450, 282, 10355, 46401, 552, 3462, 18, 7075, 16384, 300, 510, 481, 3147, 8820, 539, 3003, 541, 23629, 4767, 15965, 282, 803, 7649, 21732, 910, 510, 5273, 12189, 18, 12507, 34216, 778, 2548, 1038, 16, 374, 16, 281, 4947, 4611, 7583, 44257, 2241, 16, 4557, 344, 7216, 25783, 300, 895, 1852, 17817, 3851, 541, 4075, 1791, 16642, 2273, 288, 1004, 8697, 334, 14774, 5939, 18, 478, 18306, 470, 282, 970, 2875, 7476, 2378, 341, 965, 360, 7019, 34530, 289, 13840, 46724, 349, 15566, 303, 3162, 31192, 883, 5129, 18, 740, 5837, 6751, 346, 4075, 334, 6231, 2675, 322, 2353, 18, 6592, 15778, 26310, 37553, 277, 718, 17771, 3784, 16, 3017, 20594, 1552, 4896, 5270, 4776, 16, 2686, 1551, 19229, 349, 1807, 2990, 1103, 917, 28261, 20594, 27567, 16, 41988, 29846, 6357, 11828, 478, 672, 4571, 289, 4211 ]
[ 470, 3720, 31487, 304, 291, 18, 817, 10050, 16, 374, 281, 9752, 924, 16, 374, 1251, 478, 46625, 38547, 304, 470, 289, 478, 18306, 304, 470, 309, 2083, 12464, 25783, 455, 10924, 10832, 298, 12171, 33530, 16, 1841, 310, 8239, 16, 367, 1038, 32700, 509, 20251, 16, 1029, 13649, 840, 22562, 11440, 309, 6367, 25783, 455, 16, 322, 4538, 726, 290, 9423, 1375, 1528, 441, 432, 27486, 1251, 5074, 7529, 4496, 36244, 16, 33049, 4496, 2678, 9193, 3989, 46098, 541, 965, 2644, 13144, 428, 41134, 16, 453, 289, 20134, 40429, 16, 1743, 895, 11534, 10416, 3124, 18, 15779, 318, 289, 2388, 42236, 16, 428, 10954, 468, 4075, 25783, 5325, 1011, 18890, 28261, 3193, 41134, 40429, 282, 26155, 1045, 16, 367, 1038, 29734, 3589, 38623, 505, 1810, 282, 2630, 281, 2469, 8498, 36244, 37315, 507, 567, 7316, 48236, 547, 4666, 18, 31487, 304, 291, 5273, 16, 374, 309, 32995, 2083, 2615, 411, 6557, 3314, 7459, 9391, 8471, 1033, 7514, 536, 18, 478, 3743, 2955, 5285, 2102, 16, 374, 7814, 3775, 27374, 427, 478, 37075, 470, 6929, 12314, 427, 2341, 283, 5537, 2559, 309, 505, 14461, 519, 10954, 427, 4075, 32463, 5355, 5129, 895, 18695, 4892, 3285, 2127, 2580, 8306, 12703, 21068, 281, 10343, 5039, 496, 289, 8538, 309, 48822, 16, 282, 1750, 827, 282, 1841, 310, 8239, 3003, 17771, 3784, 840, 16685, 24723, 910, 510, 41274, 2712, 492, 18, 6096, 36439, 282, 10882, 9299, 16, 374, 18172, 34279, 7405, 4546, 510, 12629, 22774, 478, 12833, 26724, 11738, 861, 478, 732, 16, 2091, 16, 6980, 2879, 6348, 19058, 542, 12402, 20630, 617, 2273, 288, 1004, 1248, 1423, 9482, 910, 510, 1109, 36439, 18, 817, 1038, 3828, 16, 374, 478, 41776, 5954, 1608, 11738, 470, 334, 2303, 24925, 11135, 1251, 9609, 16, 23245, 289, 7597, 2002, 322, 639, 16, 367, 898, 478, 41776, 5954, 564, 19934, 1251, 15719, 758, 15310, 353, 861, 21552, 21666, 2407, 3720, 3568, 333, 282, 1500, 575, 1119, 2815, 16, 374, 3437, 5954, 2636, 4765, 334, 2303, 272, 12350, 282, 3948, 2123, 17, 2692, 4189, 289, 478, 39384, 3419, 2574, 1700, 18390, 289, 2223, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 42169, 5183, 32569, 16911, 16584, 6546, 43303, 16, 37405, 309, 15615, 6394, 2001, 18, 365, 31678, 2001, 16144, 16, 374, 16911, 43303, 840, 12642, 309, 2923, 13138, 17, 597, 4141, 274, 14793, 18, 37770, 742, 43303, 16, 1029, 8542, 282, 42169, 16, 7187, 3304, 400, 1833, 1011, 2793, 282, 13340, 38789, 18, 31224, 30, 672, 16081, 742, 43303, 2207, 7791, 49485, 8417, 21435, 718, 2001, 42169, 281, 22467, 779, 519, 2845, 2203, 18, 365, 3765, 309, 2706, 4209, 16, 334, 3352, 478, 29025, 507, 910, 505, 5183, 32569, 18, 28347, 322, 898, 9538, 1007, 290, 18979, 6937, 2001, 16, 289, 40842, 8417, 5413, 282, 10882, 2756, 49777, 541, 25040, 16, 18479, 478, 13261, 15985, 861, 824, 36880, 24359, 7421, 478, 732, 26670, 910, 5183, 7523, 4296, 330, 5426, 282, 3178, 3437, 3139, 16, 8417, 906, 23718, 2773, 31775, 18, 2877, 7518, 9150, 879, 16911, 473, 1369, 7309, 645, 685, 21344, 764, 1658, 4995, 13, 840, 10916, 309, 2923, 13138, 17, 597, 4141, 274, 42659, 14793, 16, 1029, 3164, 14169, 360, 6394, 18, 478, 672, 16081, 742, 43303, 8633, 282, 42169, 289, 840, 12642, 1188, 9380, 339, 910, 510, 2815, 16338, 8624, 9712, 43581, 10539, 7067, 632, 420, 1117, 29780, 455, 20716, 18, 46005, 17196, 360, 22464, 1693, 1147, 6020, 454, 8417, 840, 40569, 282, 6292, 478, 293, 801, 296, 973, 14582, 282, 7423, 281, 9609, 282, 11872, 5049, 779, 861, 11849, 28628, 28754, 1778, 1122, 477, 262, 945, 530, 16911, 3994, 1757, 18, 6437, 17, 597, 47121, 14793, 289, 16911, 3929, 28900, 35995, 3746, 42169, 18, 22120, 24817, 2891, 7187, 16387, 16911, 281, 15615, 6394, 2944, 16, 2686, 3255, 1279, 28003, 8044, 2001, 18, 18487, 22625, 36015, 329, 5439, 7134, 1011, 2793, 282, 13340, 38789, 282, 11872, 5049, 779, 18, 365, 4542, 11220, 1175, 289, 15985, 9100, 16, 334, 3761, 21435, 680, 1963, 16, 2364, 10367, 21435, 18, 2263, 42169, 685, 8249, 4451, 1235, 7583, 8235, 17003, 16, 1011, 11220, 1332, 685, 19646, 1390, 20198, 2407, 16, 1586, 3118, 30759, 505, 687, 1248, 1293, 8560, 18, 365, 12354, 924, 779, 1087, 13522, 15985, 334, 7546, 20144, 289, 7307, 766, 1822, 5855, 28141, 9541, 17, 24339, 19287, 17917, 353, 20716, 6455, 16387, 16911, 411, 5500, 2001, 289, 2048, 505, 6906, 38532, 18511, 10997, 7583, 31955, 16, 14108, 1754, 32872, 282, 15347, 13138, 17, 597, 4141, 274, 14793, 18, 478, 4348, 1904, 7836, 16, 374, 29884, 10494, 1623, 4989, 46650, 5752, 1512, 16, 282, 970, 2875, 289, 21435, 910, 510, 3153, 1655, 17917, 353, 20716, 18, 13387, 291, 20152, 2793, 282, 42169, 16170, 16, 381, 3431, 16911, 18858, 26384, 289, 445, 4807, 9935, 505, 12112, 49164, 300, 1195, 589, 26774, 478, 789, 1790, 1756, 282, 21095, 4271, 289, 478, 1140, 2040, 6800, 281, 12112, 49164, 455, 22558, 3529, 29721, 2672, 326, 16, 367, 12373, 5133, 290, 17922, 22464, 40198, 18, 996, 16, 282, 11023, 5021, 17, 361, 21435, 778, 8099, 334, 449, 45713, 13532, 3557, 671, 44551, 264, 16821, 6455, 1175, 7544, 990, 16911, 43303, 309, 1614, 14137, 2327, 2439, 306, 289, 29268, 4143, 18, 365, 11023, 5021, 779, 2891, 15985, 5684, 3952, 334, 5183, 354, 1744, 12110, 26416, 18, 365, 4025, 354, 265, 440, 685, 9389, 1736, 30015, 18098, 263, 282, 9421, 11345, 7423, 41146, 1838, 300, 20532, 16, 6177, 9100, 6501, 41137, 35901, 18, 6234, 16911, 16, 1029, 5747, 5658, 14202, 282, 3507, 16, 9182, 3304, 400, 4770, 15985, 6070, 34177, 18, 3492, 5962, 3003, 22482, 16911, 43303, 510, 1055, 10480, 18, 2, 1, 87, 1456, 81, 2448, 30, 13945, 1231, 267, 38392, 3565, 17, 50, 43255, 16, 2319, 8034, 9805, 478, 46041, 46852, 10589, 910, 294, 4145, 1045, 1943, 31911, 4317, 9, 7179, 16188, 19305, 289, 6863, 309, 18326, 1756, 282, 2968, 334, 20919, 8712, 4486, 8974, 18, 9027, 818, 22039, 448, 9118, 6677, 41724, 12995, 4654, 528, 853, 13256, 28326, 360, 7547, 801, 1709, 354, 411, 457, 44720, 30, 33795, 7179, 7043, 895, 18894, 282, 1129, 14440, 9043, 6773, 18, 31224, 30, 672, 1822, 20148, 8840, 38392, 3565, 17, 50, 43255, 334, 3442, 11188, 294, 4145, 1045, 4657, 1602, 17, 44594, 718, 41724, 282, 1176, 411, 3437, 14795, 17310, 7547, 23766, 1643, 895, 953, 3600, 1736, 18, 25021, 1711, 41724, 5823, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 470, 3720, 31487, 304, 291, 18, 817, 10050, 16, 374, 281, 9752, 924, 16, 374, 1251, 478, 46625, 38547, 304, 470, 289, 478, 18306, 304, 470, 309, 2083, 12464, 25783, 455, 10924, 10832, 298, 12171, 33530, 16, 1841, 310, 8239, 16, 367, 1038, 32700, 509, 20251, 16, 1029, 13649, 840, 22562, 11440, 309, 6367, 25783, 455, 16, 322, 4538, 726, 290, 9423, 1375, 1528, 441, 432, 27486, 1251, 5074, 7529, 4496, 36244, 16, 33049, 4496, 2678, 9193, 3989, 46098, 541, 965, 2644, 13144, 428, 41134, 16, 453, 289, 20134, 40429, 16, 1743, 895, 11534, 10416, 3124, 18, 15779, 318, 289, 2388, 42236, 16, 428, 10954, 468, 4075, 25783, 5325, 1011, 18890, 28261, 3193, 41134, 40429, 282, 26155, 1045, 16, 367, 1038, 29734, 3589, 38623, 505, 1810, 282, 2630, 281, 2469, 8498, 36244, 37315, 507, 567, 7316, 48236, 547, 4666, 18, 31487, 304, 291, 5273, 16, 374, 309, 32995, 2083, 2615, 411, 6557, 3314, 7459, 9391, 8471, 1033, 7514, 536, 18, 478, 3743, 2955, 5285, 2102, 16, 374, 7814, 3775, 27374, 427, 478, 37075, 470, 6929, 12314, 427, 2341, 283, 5537, 2559, 309, 505, 14461, 519, 10954, 427, 4075, 32463, 5355, 5129, 895, 18695, 4892, 3285, 2127, 2580, 8306, 12703, 21068, 281, 10343, 5039, 496, 289, 8538, 309, 48822, 16, 282, 1750, 827, 282, 1841, 310, 8239, 3003, 17771, 3784, 840, 16685, 24723, 910, 510, 41274, 2712, 492, 18, 6096, 36439, 282, 10882, 9299, 16, 374, 18172, 34279, 7405, 4546, 510, 12629, 22774, 478, 12833, 26724, 11738, 861, 478, 732, 16, 2091, 16, 6980, 2879, 6348, 19058, 542, 12402, 20630, 617, 2273, 288, 1004, 1248, 1423, 9482, 910, 510, 1109, 36439, 18, 817, 1038, 3828, 16, 374, 478, 41776, 5954, 1608, 11738, 470, 334, 2303, 24925, 11135, 1251, 9609, 16, 23245, 289, 7597, 2002, 322, 639, 16, 367, 898, 478, 41776, 5954, 564, 19934, 1251, 15719, 758, 15310, 353, 861, 21552, 21666, 2407, 3720, 3568, 333, 282, 1500, 575, 1119, 2815, 16, 374, 3437, 5954, 2636, 4765, 334, 2303, 272, 12350, 282, 3948, 2123, 17, 2692, 4189, 289, 478, 39384, 3419, 2574, 1700, 18390, 289, 2223, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 42169, 5183, 32569, 16911, 16584, 6546, 43303, 16, 37405, 309, 15615, 6394, 2001, 18, 365, 31678, 2001, 16144, 16, 374, 16911, 43303, 840, 12642, 309, 2923, 13138, 17, 597, 4141, 274, 14793, 18, 37770, 742, 43303, 16, 1029, 8542, 282, 42169, 16, 7187, 3304, 400, 1833, 1011, 2793, 282, 13340, 38789, 18, 31224, 30, 672, 16081, 742, 43303, 2207, 7791, 49485, 8417, 21435, 718, 2001, 42169, 281, 22467, 779, 519, 2845, 2203, 18, 365, 3765, 309, 2706, 4209, 16, 334, 3352, 478, 29025, 507, 910, 505, 5183, 32569, 18, 28347, 322, 898, 9538, 1007, 290, 18979, 6937, 2001, 16, 289, 40842, 8417, 5413, 282, 10882, 2756, 49777, 541, 25040, 16, 18479, 478, 13261, 15985, 861, 824, 36880, 24359, 7421, 478, 732, 26670, 910, 5183, 7523, 4296, 330, 5426, 282, 3178, 3437, 3139, 16, 8417, 906, 23718, 2773, 31775, 18, 2877, 7518, 9150, 879, 16911, 473, 1369, 7309, 645, 685, 21344, 764, 1658, 4995, 13, 840, 10916, 309, 2923, 13138, 17, 597, 4141, 274, 42659, 14793, 16, 1029, 3164, 14169, 360, 6394, 18, 478, 672, 16081, 742, 43303, 8633, 282, 42169, 289, 840, 12642, 1188, 9380, 339, 910, 510, 2815, 16338, 8624, 9712, 43581, 10539, 7067, 632, 420, 1117, 29780, 455, 20716, 18, 46005, 17196, 360, 22464, 1693, 1147, 6020, 454, 8417, 840, 40569, 282, 6292, 478, 293, 801, 296, 973, 14582, 282, 7423, 281, 9609, 282, 11872, 5049, 779, 861, 11849, 28628, 28754, 1778, 1122, 477, 262, 945, 530, 16911, 3994, 1757, 18, 6437, 17, 597, 47121, 14793, 289, 16911, 3929, 28900, 35995, 3746, 42169, 18, 22120, 24817, 2891, 7187, 16387, 16911, 281, 15615, 6394, 2944, 16, 2686, 3255, 1279, 28003, 8044, 2001, 18, 18487, 22625, 36015, 329, 5439, 7134, 1011, 2793, 282, 13340, 38789, 282, 11872, 5049, 779, 18, 365, 4542, 11220, 1175, 289, 15985, 9100, 16, 334, 3761, 21435, 680, 1963, 16, 2364, 10367, 21435, 18, 2263, 42169, 685, 8249, 4451, 1235, 7583, 8235, 17003, 16, 1011, 11220, 1332, 685, 19646, 1390, 20198, 2407, 16, 1586, 3118, 30759, 505, 687, 1248, 1293, 8560, 18, 365, 12354, 924, 779, 1087, 13522, 15985, 334, 7546, 20144, 289, 7307, 766, 1822, 5855, 28141, 9541, 17, 24339, 19287, 17917, 353, 20716, 6455, 16387, 16911, 411, 5500, 2001, 289, 2048, 505, 6906, 38532, 18511, 10997, 7583, 31955, 16, 14108, 1754, 32872, 282, 15347, 13138, 17, 597, 4141, 274, 14793, 18, 478, 4348, 1904, 7836, 16, 374, 29884, 10494, 1623, 4989, 46650, 5752, 1512, 16, 282, 970, 2875, 289, 21435, 910, 510, 3153, 1655, 17917, 353, 20716, 18, 13387, 291, 20152, 2793, 282, 42169, 16170, 16, 381, 3431, 16911, 18858, 26384, 289, 445, 4807, 9935, 505, 12112, 49164, 300, 1195, 589, 26774, 478, 789, 1790, 1756, 282, 21095, 4271, 289, 478, 1140, 2040, 6800, 281, 12112, 49164, 455, 22558, 3529, 29721, 2672, 326, 16, 367, 12373, 5133, 290, 17922, 22464, 40198, 18, 996, 16, 282, 11023, 5021, 17, 361, 21435, 778, 8099, 334, 449, 45713, 13532, 3557, 671, 44551, 264, 16821, 6455, 1175, 7544, 990, 16911, 43303, 309, 1614, 14137, 2327, 2439, 306, 289, 29268, 4143, 18, 365, 11023, 5021, 779, 2891, 15985, 5684, 3952, 334, 5183, 354, 1744, 12110, 26416, 18, 365, 4025, 354, 265, 440, 685, 9389, 1736, 30015, 18098, 263, 282, 9421, 11345, 7423, 41146, 1838, 300, 20532, 16, 6177, 9100, 6501, 41137, 35901, 18, 6234, 16911, 16, 1029, 5747, 5658, 14202, 282, 3507, 16, 9182, 3304, 400, 4770, 15985, 6070, 34177, 18, 3492, 5962, 3003, 22482, 16911, 43303, 510, 1055, 10480, 18, 2, 1, 87, 1456, 81, 2448, 30, 13945, 1231, 267, 38392, 3565, 17, 50, 43255, 16, 2319, 8034, 9805, 478, 46041, 46852, 10589, 910, 294, 4145, 1045, 1943, 31911, 4317, 9, 7179, 16188, 19305, 289, 6863, 309, 18326, 1756, 282, 2968, 334, 20919, 8712, 4486, 8974, 18, 9027, 818, 22039, 448, 9118, 6677, 41724, 12995, 4654, 528, 853, 13256, 28326, 360, 7547, 801, 1709, 354, 411, 457, 44720, 30, 33795, 7179, 7043, 895, 18894, 282, 1129, 14440, 9043, 6773, 18, 31224, 30, 672, 1822, 20148, 8840, 38392, 3565, 17, 50, 43255, 334, 3442, 11188, 294, 4145, 1045, 4657, 1602, 17, 44594, 718, 41724, 282, 1176, 411, 3437, 14795, 17310, 7547, 23766, 1643, 895, 953, 3600, 1736, 18, 25021, 1711, 41724, 5823, 282 ]
[ 11165, 6099, 360, 19965, 1810, 478, 46041, 46852, 618, 3693, 910, 1029, 1943, 22281, 4522, 1920, 360, 16959, 13863, 7179, 16188, 19305, 18, 2776, 21571, 528, 4681, 30373, 309, 1421, 779, 1143, 16, 828, 492, 35638, 16, 541, 924, 16, 753, 31107, 2704, 13470, 18409, 1195, 478, 46041, 46852, 10589, 304, 861, 889, 322, 19344, 38392, 3565, 17, 50, 43255, 34090, 40744, 411, 14157, 12402, 4096, 282, 4440, 443, 11276, 6206, 16, 1586, 282, 502, 808, 47401, 309, 19862, 16188, 50045, 18, 365, 4440, 1045, 11537, 497, 3323, 268, 3190, 3064, 16, 374, 294, 4145, 1045, 23970, 267, 38392, 3565, 17, 50, 43255, 651, 478, 46041, 46852, 10589, 470, 24687, 12237, 282, 4317, 9, 309, 16188, 50045, 282, 1175, 16, 367, 11959, 4982, 10241, 1493, 7492, 8974, 334, 4547, 8290, 41621, 32023, 282, 1032, 3763, 16482, 18, 365, 803, 1045, 11537, 3210, 34102, 28510, 281, 478, 46041, 46852, 10589, 304, 470, 289, 334, 17, 6093, 25482, 16, 374, 4426, 2856, 30648, 294, 4145, 1045, 2846, 411, 5544, 1103, 3314, 282, 1175, 7994, 1747, 4460, 1007, 505, 23970, 3032, 18, 967, 803, 935, 334, 3818, 40476, 3328, 47270, 16, 4982, 7179, 16188, 19305, 282, 4145, 1045, 3895, 6245, 17471, 2581, 454, 282, 1032, 3763, 1103, 3314, 5642, 18, 5043, 16, 1314, 3771, 33144, 2849, 31354, 416, 12402, 4096, 16, 374, 726, 1561, 23447, 334, 16188, 27586, 289, 7636, 857, 10940, 334, 46907, 282, 2801, 1045, 519, 491, 16, 25, 3763, 16482, 18, 4635, 38187, 13965, 22506, 309, 5936, 1185, 11651, 895, 1852, 7265, 9075, 4964, 541, 9332, 43970, 432, 9623, 38392, 3565, 17, 50, 43255, 18, 2112, 3437, 986, 1810, 289, 1033, 25817, 22, 5096, 17085, 477, 1963, 17815, 14702, 1185, 11651, 309, 5814, 282, 803, 1045, 12837, 519, 1760, 16, 27, 9, 510, 281, 3703, 16, 26, 9, 282, 4440, 17, 277, 18, 3557, 322, 2619, 11537, 27081, 16, 374, 294, 4145, 1045, 1939, 9, 1209, 2245, 11881, 282, 1175, 8974, 1747, 309, 14540, 478, 46041, 46852, 618, 3693, 861, 967, 803, 5037, 41724, 10219, 16, 374, 9217, 554, 1185, 11651, 16, 367, 1038, 9771, 38392, 3565, 16, 47698, 289, 7143, 1147, 3587, 296, 987, 554, 47698, 510, 1130, 11396, 1239, 282, 13673, 1272, 779, 1513, 840, 9823, 23095, 874, 10933, 10929, 16, 541, 924, 753, 23970, 267, 5575, 40056, 9623, 18, 478, 13945, 1231, 267, 38392, 3565, 17, 50, 43255, 1494, 22014, 16, 374, 5304, 13898, 4317, 17, 45900, 668, 12237, 309, 5554, 547, 5814, 282, 1175, 16, 510, 5548, 2815, 11537, 33293, 21572, 41255, 2217, 18045, 10612, 18, 365, 4675, 808, 4786, 38392, 3565, 16, 47698, 289, 1185, 11651, 9225, 4652, 2555, 17, 45900, 668, 12237, 7179, 16188, 19305, 18, 1345, 4463, 5740, 5502, 3741, 8520, 289, 31424, 309, 3427, 7446, 3338, 9623, 282, 1175, 16, 475, 411, 1639, 12378, 282, 16143, 861, 1178, 294, 4145, 1045, 9805, 6357, 41724, 322, 2027, 3213, 49472, 1188, 1498, 8266, 16, 481, 895, 7869, 294, 20843, 552, 914, 14573, 289, 30025, 38392, 3565, 17, 50, 43255, 3775, 13898, 1756, 282, 35920, 16329, 582, 17310, 7547, 23766, 1643, 18, 3510, 541, 978, 23970, 1508, 38392, 3565, 17, 50, 43255, 651, 478, 46041, 46852, 10589, 470, 2003, 11927, 37556, 16, 43820, 13949, 670, 16749, 22410, 4389, 510, 475, 870, 2241, 23566, 13739, 322, 2619, 1533, 3763, 8974, 18, 1787, 24507, 16, 38392, 3565, 17, 50, 43255, 282, 6104, 1045, 7243, 1475, 1488, 16, 6475, 3763, 5642, 18, 21507, 289, 16411, 27213, 478, 46041, 46852, 618, 3693, 470, 294, 34965, 1634, 15852, 309, 19862, 16188, 50045, 1038, 360, 12227, 360, 35968, 18, 39111, 4704, 282, 457, 44720, 16, 1029, 1149, 33790, 13504, 282, 11847, 17, 263, 3142, 282, 4301, 10376, 8786, 40131, 3875, 16, 14106, 808, 35180, 11771, 15571, 510, 14591, 453, 289, 322, 11980, 309, 43227, 18535, 14953, 4500, 18, 16482, 18, 365, 6104, 1045, 309, 4256, 13553, 331, 2466, 520, 6585, 282, 457, 44720, 639, 32641, 1223, 3610, 26, 4500, 18, 8974, 18, 824, 1335, 8386, 11537, 44198, 1142, 4793, 3193, 16, 289, 282, 11023, 6705, 779, 12984, 13155, 21251, 311, 37473, 37707, 7547, 801, 1709, 354, 685, 9540, 13328, 6606, 24088, 29499, 1624, 1029, 519, 978, 1854, 811, 309, 528, 10589, 263, 18, 817, 1559, 5216, 4244, 3347, 16, 19698, 420, 5583, 14591, 282, 457, 44720, 349, 2651, 505, 5901, 18, 9432, 749, 27766, 289, 32155, 1051, 6606, 24088, 29499, 1904, 14182, 637, 290, 25784, 289, 8010, 292, 16, 961, 26362, 15096, 528, 853, 294, 33887, 505, 309, 3059, 4830, 2241, 18, 365, 17618, 7337, 478, 46088, 18, 8381, 470, 492, 322, 445, 27834, 16, 374, 5641, 3365, 16, 374, 329, 478, 46041, 46852, 618, 3693, 470, 912, 3860, 281, 23330, 6340, 18, 2949, 924, 16, 492, 10799, 290, 970, 16, 374, 15279, 11203, 281, 8040, 12310, 39108, 339, 478, 46041, 46852, 618, 3693, 910, 1029, 6681, 811, 282, 17676, 17010, 18, 24088, 29499, 3957, 16794, 478, 46041, 46852, 10589, 470, 309, 2204, 12832, 11726, 726, 519, 3915, 978, 779, 16, 27939, 374, 282, 6104, 1045, 14591, 15018, 435, 13155, 3041, 7431, 2261, 21, 3763, 7307, 18, 817, 1038, 15069, 16, 374, 14591, 41621, 4999, 282, 1286, 9, 32410, 1664, 675, 294, 4145, 1045, 16, 374, 2500, 3230, 16, 828, 3300, 16, 2921, 8518, 528, 1305, 541, 38392, 3565, 309, 7847, 1205, 18, 12824, 411, 16455, 3320, 1810, 16, 961, 15999, 305, 3655, 4770, 16, 510, 16575, 448, 5790, 281, 3609, 17, 503, 383, 452, 2661, 5754, 282, 1286, 18, 6427, 334, 595, 19223, 18, 403, 2222, 575, 3333, 19633, 19679, 309, 1294, 578, 2325, 451, 24724, 1810, 18, 2949, 924, 16, 3348, 411, 16455, 9332, 40056, 9623, 2458, 33462, 24562, 16, 961, 30449, 13006, 5385, 334, 2337, 721, 18, 985, 4266, 2419, 19633, 478, 46041, 46852, 618, 3693, 910, 424, 24560, 282, 5344, 25750, 518, 16, 1085, 322, 45403, 4356, 2337, 721, 30, 4498, 3419, 290, 4335, 1910, 12429, 7898, 289, 33844, 18, 2, 1, 87, 1456, 81, 2448, 30, 17114, 820, 2030, 6489, 576, 3655, 16414, 41382, 16, 45587, 13764, 7043, 18, 18561, 16, 374, 329, 17155, 23753, 3860, 322, 687, 282, 15770, 510, 478, 26807, 435, 2497, 470, 10828, 313, 1254, 322, 7737, 11246, 935, 282, 49567, 13764, 18, 31224, 30, 17114, 820, 2030, 289, 37167, 5767, 18113, 25716, 7257, 17401, 933, 19071, 473, 23620, 42268, 13, 6973, 925, 16414, 41382, 16, 4609, 275, 10828, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11165, 6099, 360, 19965, 1810, 478, 46041, 46852, 618, 3693, 910, 1029, 1943, 22281, 4522, 1920, 360, 16959, 13863, 7179, 16188, 19305, 18, 2776, 21571, 528, 4681, 30373, 309, 1421, 779, 1143, 16, 828, 492, 35638, 16, 541, 924, 16, 753, 31107, 2704, 13470, 18409, 1195, 478, 46041, 46852, 10589, 304, 861, 889, 322, 19344, 38392, 3565, 17, 50, 43255, 34090, 40744, 411, 14157, 12402, 4096, 282, 4440, 443, 11276, 6206, 16, 1586, 282, 502, 808, 47401, 309, 19862, 16188, 50045, 18, 365, 4440, 1045, 11537, 497, 3323, 268, 3190, 3064, 16, 374, 294, 4145, 1045, 23970, 267, 38392, 3565, 17, 50, 43255, 651, 478, 46041, 46852, 10589, 470, 24687, 12237, 282, 4317, 9, 309, 16188, 50045, 282, 1175, 16, 367, 11959, 4982, 10241, 1493, 7492, 8974, 334, 4547, 8290, 41621, 32023, 282, 1032, 3763, 16482, 18, 365, 803, 1045, 11537, 3210, 34102, 28510, 281, 478, 46041, 46852, 10589, 304, 470, 289, 334, 17, 6093, 25482, 16, 374, 4426, 2856, 30648, 294, 4145, 1045, 2846, 411, 5544, 1103, 3314, 282, 1175, 7994, 1747, 4460, 1007, 505, 23970, 3032, 18, 967, 803, 935, 334, 3818, 40476, 3328, 47270, 16, 4982, 7179, 16188, 19305, 282, 4145, 1045, 3895, 6245, 17471, 2581, 454, 282, 1032, 3763, 1103, 3314, 5642, 18, 5043, 16, 1314, 3771, 33144, 2849, 31354, 416, 12402, 4096, 16, 374, 726, 1561, 23447, 334, 16188, 27586, 289, 7636, 857, 10940, 334, 46907, 282, 2801, 1045, 519, 491, 16, 25, 3763, 16482, 18, 4635, 38187, 13965, 22506, 309, 5936, 1185, 11651, 895, 1852, 7265, 9075, 4964, 541, 9332, 43970, 432, 9623, 38392, 3565, 17, 50, 43255, 18, 2112, 3437, 986, 1810, 289, 1033, 25817, 22, 5096, 17085, 477, 1963, 17815, 14702, 1185, 11651, 309, 5814, 282, 803, 1045, 12837, 519, 1760, 16, 27, 9, 510, 281, 3703, 16, 26, 9, 282, 4440, 17, 277, 18, 3557, 322, 2619, 11537, 27081, 16, 374, 294, 4145, 1045, 1939, 9, 1209, 2245, 11881, 282, 1175, 8974, 1747, 309, 14540, 478, 46041, 46852, 618, 3693, 861, 967, 803, 5037, 41724, 10219, 16, 374, 9217, 554, 1185, 11651, 16, 367, 1038, 9771, 38392, 3565, 16, 47698, 289, 7143, 1147, 3587, 296, 987, 554, 47698, 510, 1130, 11396, 1239, 282, 13673, 1272, 779, 1513, 840, 9823, 23095, 874, 10933, 10929, 16, 541, 924, 753, 23970, 267, 5575, 40056, 9623, 18, 478, 13945, 1231, 267, 38392, 3565, 17, 50, 43255, 1494, 22014, 16, 374, 5304, 13898, 4317, 17, 45900, 668, 12237, 309, 5554, 547, 5814, 282, 1175, 16, 510, 5548, 2815, 11537, 33293, 21572, 41255, 2217, 18045, 10612, 18, 365, 4675, 808, 4786, 38392, 3565, 16, 47698, 289, 1185, 11651, 9225, 4652, 2555, 17, 45900, 668, 12237, 7179, 16188, 19305, 18, 1345, 4463, 5740, 5502, 3741, 8520, 289, 31424, 309, 3427, 7446, 3338, 9623, 282, 1175, 16, 475, 411, 1639, 12378, 282, 16143, 861, 1178, 294, 4145, 1045, 9805, 6357, 41724, 322, 2027, 3213, 49472, 1188, 1498, 8266, 16, 481, 895, 7869, 294, 20843, 552, 914, 14573, 289, 30025, 38392, 3565, 17, 50, 43255, 3775, 13898, 1756, 282, 35920, 16329, 582, 17310, 7547, 23766, 1643, 18, 3510, 541, 978, 23970, 1508, 38392, 3565, 17, 50, 43255, 651, 478, 46041, 46852, 10589, 470, 2003, 11927, 37556, 16, 43820, 13949, 670, 16749, 22410, 4389, 510, 475, 870, 2241, 23566, 13739, 322, 2619, 1533, 3763, 8974, 18, 1787, 24507, 16, 38392, 3565, 17, 50, 43255, 282, 6104, 1045, 7243, 1475, 1488, 16, 6475, 3763, 5642, 18, 21507, 289, 16411, 27213, 478, 46041, 46852, 618, 3693, 470, 294, 34965, 1634, 15852, 309, 19862, 16188, 50045, 1038, 360, 12227, 360, 35968, 18, 39111, 4704, 282, 457, 44720, 16, 1029, 1149, 33790, 13504, 282, 11847, 17, 263, 3142, 282, 4301, 10376, 8786, 40131, 3875, 16, 14106, 808, 35180, 11771, 15571, 510, 14591, 453, 289, 322, 11980, 309, 43227, 18535, 14953, 4500, 18, 16482, 18, 365, 6104, 1045, 309, 4256, 13553, 331, 2466, 520, 6585, 282, 457, 44720, 639, 32641, 1223, 3610, 26, 4500, 18, 8974, 18, 824, 1335, 8386, 11537, 44198, 1142, 4793, 3193, 16, 289, 282, 11023, 6705, 779, 12984, 13155, 21251, 311, 37473, 37707, 7547, 801, 1709, 354, 685, 9540, 13328, 6606, 24088, 29499, 1624, 1029, 519, 978, 1854, 811, 309, 528, 10589, 263, 18, 817, 1559, 5216, 4244, 3347, 16, 19698, 420, 5583, 14591, 282, 457, 44720, 349, 2651, 505, 5901, 18, 9432, 749, 27766, 289, 32155, 1051, 6606, 24088, 29499, 1904, 14182, 637, 290, 25784, 289, 8010, 292, 16, 961, 26362, 15096, 528, 853, 294, 33887, 505, 309, 3059, 4830, 2241, 18, 365, 17618, 7337, 478, 46088, 18, 8381, 470, 492, 322, 445, 27834, 16, 374, 5641, 3365, 16, 374, 329, 478, 46041, 46852, 618, 3693, 470, 912, 3860, 281, 23330, 6340, 18, 2949, 924, 16, 492, 10799, 290, 970, 16, 374, 15279, 11203, 281, 8040, 12310, 39108, 339, 478, 46041, 46852, 618, 3693, 910, 1029, 6681, 811, 282, 17676, 17010, 18, 24088, 29499, 3957, 16794, 478, 46041, 46852, 10589, 470, 309, 2204, 12832, 11726, 726, 519, 3915, 978, 779, 16, 27939, 374, 282, 6104, 1045, 14591, 15018, 435, 13155, 3041, 7431, 2261, 21, 3763, 7307, 18, 817, 1038, 15069, 16, 374, 14591, 41621, 4999, 282, 1286, 9, 32410, 1664, 675, 294, 4145, 1045, 16, 374, 2500, 3230, 16, 828, 3300, 16, 2921, 8518, 528, 1305, 541, 38392, 3565, 309, 7847, 1205, 18, 12824, 411, 16455, 3320, 1810, 16, 961, 15999, 305, 3655, 4770, 16, 510, 16575, 448, 5790, 281, 3609, 17, 503, 383, 452, 2661, 5754, 282, 1286, 18, 6427, 334, 595, 19223, 18, 403, 2222, 575, 3333, 19633, 19679, 309, 1294, 578, 2325, 451, 24724, 1810, 18, 2949, 924, 16, 3348, 411, 16455, 9332, 40056, 9623, 2458, 33462, 24562, 16, 961, 30449, 13006, 5385, 334, 2337, 721, 18, 985, 4266, 2419, 19633, 478, 46041, 46852, 618, 3693, 910, 424, 24560, 282, 5344, 25750, 518, 16, 1085, 322, 45403, 4356, 2337, 721, 30, 4498, 3419, 290, 4335, 1910, 12429, 7898, 289, 33844, 18, 2, 1, 87, 1456, 81, 2448, 30, 17114, 820, 2030, 6489, 576, 3655, 16414, 41382, 16, 45587, 13764, 7043, 18, 18561, 16, 374, 329, 17155, 23753, 3860, 322, 687, 282, 15770, 510, 478, 26807, 435, 2497, 470, 10828, 313, 1254, 322, 7737, 11246, 935, 282, 49567, 13764, 18, 31224, 30, 17114, 820, 2030, 289, 37167, 5767, 18113, 25716, 7257, 17401, 933, 19071, 473, 23620, 42268, 13, 6973, 925, 16414, 41382, 16, 4609, 275, 10828, 313 ]
[ 1254, 334, 32750, 41019, 510, 32912, 289, 40826, 44638, 7079, 16, 42779, 18933, 1347, 16, 27053, 18439, 16, 24880, 29498, 289, 438, 18, 478, 6039, 361, 309, 5734, 2083, 5675, 820, 9335, 289, 34534, 42268, 473, 43072, 416, 5767, 18113, 426, 355, 7257, 17401, 933, 19071, 13, 4586, 400, 7667, 1032, 5041, 13542, 41382, 18, 740, 40051, 411, 1129, 726, 7451, 411, 10929, 18, 2876, 1314, 282, 34797, 3164, 5825, 290, 816, 7751, 13400, 399, 15101, 18, 10334, 13400, 29711, 4095, 39307, 8056, 8329, 289, 518, 575, 15129, 282, 41499, 27482, 432, 4190, 334, 3405, 29, 41019, 16, 745, 1698, 35586, 13962, 1954, 1251, 1807, 910, 510, 5130, 309, 3614, 9526, 2926, 29201, 5366, 18, 365, 26155, 1045, 5487, 1421, 2223, 19425, 37716, 360, 32214, 510, 5936, 32214, 27115, 47308, 715, 2479, 16, 32214, 27115, 47308, 715, 2479, 15, 289, 32214, 27115, 47308, 715, 2479, 73, 16, 43627, 282, 2343, 3750, 18, 640, 35962, 1718, 4762, 1320, 4167, 35213, 360, 22350, 268, 35392, 718, 7741, 17956, 510, 32214, 27115, 47308, 1059, 13821, 1658, 18, 378, 274, 4367, 289, 1573, 12451, 2223, 19425, 13400, 29711, 16422, 510, 23819, 2554, 55, 30802, 289, 23819, 2554, 55, 16, 961, 478, 26807, 435, 3412, 470, 3785, 4424, 15075, 309, 29809, 680, 30104, 11826, 779, 18, 385, 2761, 27548, 16, 7192, 27548, 289, 43660, 4367, 2223, 3424, 5823, 19646, 6025, 32214, 510, 309, 1129, 3043, 14269, 32214, 27115, 47308, 715, 29, 16, 32214, 27115, 47308, 715, 29, 15, 289, 32214, 27115, 47308, 715, 28, 18, 7250, 2345, 43829, 13764, 8970, 478, 273, 1004, 1577, 910, 3858, 1779, 282, 3609, 17, 2479, 16, 37940, 4020, 73, 77, 860, 1899, 1939, 5982, 18, 3791, 5675, 820, 2030, 10050, 16, 374, 281, 27653, 3741, 15297, 289, 11769, 3741, 8786, 16, 15773, 289, 39940, 19071, 18, 5161, 16, 7134, 3531, 40468, 16, 34688, 4951, 11160, 4767, 8578, 18, 478, 13456, 14697, 16836, 4364, 22823, 22107, 2150, 3247, 289, 7709, 334, 32528, 416, 42949, 582, 1264, 18, 365, 4810, 16, 745, 12530, 31465, 22823, 289, 9434, 16, 428, 678, 840, 3624, 282, 29939, 7113, 4190, 473, 275, 10809, 16, 1279, 9495, 16, 785, 1135, 282, 34089, 289, 311, 18, 302, 3406, 910, 510, 5130, 309, 3614, 5675, 820, 2833, 18, 640, 16544, 416, 30104, 32214, 22644, 1833, 2846, 3741, 35032, 16, 515, 1143, 1223, 4612, 28546, 7356, 6380, 549, 7063, 281, 45689, 40871, 11329, 426, 339, 16, 1881, 4749, 5267, 27115, 47308, 1149, 4344, 18, 7249, 309, 502, 16, 374, 3655, 6575, 17, 8422, 755, 13302, 26916, 294, 1190, 2904, 16, 40891, 34450, 16170, 1833, 1293, 33799, 8689, 15297, 18, 996, 16, 3057, 16, 309, 2615, 3010, 8874, 40826, 44638, 5804, 6380, 434, 35032, 18, 967, 2695, 547, 10634, 11329, 1476, 840, 6380, 5559, 289, 25800, 5559, 8241, 445, 282, 3178, 2236, 2299, 16, 2391, 21215, 9449, 9056, 9292, 802, 510, 5870, 396, 3328, 1623, 13329, 16, 2486, 6110, 3857, 281, 17547, 319, 35, 3791, 1382, 288, 2477, 15423, 47778, 8578, 16, 1586, 519, 4319, 1326, 4821, 324, 510, 309, 30104, 33407, 874, 1177, 15497, 7190, 32214, 17245, 16, 289, 935, 284, 322, 387, 4435, 27115, 47308, 1149, 4344, 309, 38951, 9294, 4998, 16, 43009, 505, 687, 309, 14980, 18, 7042, 21215, 8347, 16695, 2141, 7501, 3236, 282, 970, 16, 374, 6380, 448, 13400, 29711, 32154, 1886, 282, 7711, 41303, 13670, 1015, 670, 41597, 18, 2949, 924, 16, 27306, 17605, 939, 14370, 1154, 7072, 8578, 510, 11846, 5862, 35213, 360, 32214, 28215, 282, 4843, 42653, 473, 25807, 22839, 4500, 18, 1671, 6185, 832, 3440, 22140, 3711, 289, 309, 12237, 3741, 35213, 291, 16422, 16, 1857, 3314, 282, 11130, 11826, 779, 18, 11339, 1223, 16, 21215, 6933, 46119, 867, 16, 374, 3655, 48015, 23819, 2554, 55, 30802, 334, 8331, 1721, 6009, 9858, 360, 1728, 33146, 1672, 11563, 33662, 23819, 2554, 289, 1623, 505, 13373, 5966, 1841, 297, 1532, 3663, 18, 3911, 436, 1476, 4090, 23819, 3716, 322, 20951, 18, 889, 3716, 1500, 575, 1621, 48, 30640, 17, 488, 436, 1476, 360, 32214, 16, 374, 289, 282, 23819, 2554, 18, 1397, 5327, 5806, 16, 6605, 12529, 23819, 2554, 55, 30802, 281, 9024, 4963, 1061, 2783, 528, 296, 18, 9639, 3321, 16422, 322, 939, 1261, 2274, 510, 935, 371, 2456, 2695, 547, 11885, 8292, 289, 2834, 2431, 2982, 333, 5394, 1321, 16, 349, 1205, 935, 2706, 26, 528, 296, 28684, 32357, 695, 18, 9873, 19603, 16, 14697, 45955, 8014, 414, 289, 4617, 18703, 35032, 510, 35213, 349, 3417, 17, 2783, 28, 4500, 18, 1671, 18, 329, 39214, 712, 363, 45946, 3180, 1674, 1941, 13660, 761, 473, 13817, 583, 37691, 15349, 3521, 668, 15733, 4934, 934, 367, 4193, 742, 541, 20422, 1051, 1965, 20098, 411, 22920, 18, 6682, 924, 16, 753, 424, 3008, 18199, 23819, 2554, 55, 30802, 294, 15324, 19328, 38, 3967, 16, 1320, 4128, 13501, 16851, 24199, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 392, 382, 15193, 512, 3875, 12952, 3495, 844, 5059, 324, 289, 12952, 403, 913, 342, 21038, 10106, 282, 11925, 281, 3988, 3642, 309, 11338, 4731, 25827, 1234, 9875, 18, 824, 697, 4734, 16, 1951, 2203, 10376, 20800, 1190, 26288, 16, 8888, 19417, 6642, 1110, 16, 1085, 12983, 25309, 567, 808, 9421, 11345, 2793, 18, 31224, 30, 38869, 578, 3056, 45908, 2910, 2160, 11338, 4731, 25827, 1234, 9875, 5823, 282, 5214, 19449, 32922, 16, 48897, 281, 7107, 659, 1027, 42154, 6242, 761, 510, 309, 7256, 445, 290, 2763, 647, 3875, 3318, 404, 2124, 18713, 18, 824, 3352, 22065, 478, 46911, 470, 1624, 23716, 14306, 36335, 16, 309, 2114, 571, 1383, 2128, 343, 12975, 31980, 10662, 16, 428, 1199, 3391, 2392, 1508, 1251, 25651, 3347, 2124, 13432, 289, 49342, 25776, 304, 9246, 1552, 13087, 8506, 46900, 23457, 2509, 18, 824, 3163, 41997, 10490, 30213, 3875, 12952, 3495, 844, 5059, 324, 16, 21178, 29547, 1951, 2203, 10376, 44407, 3590, 6642, 1209, 1110, 16, 1085, 12983, 7623, 25309, 567, 808, 9421, 11345, 2793, 18, 478, 563, 19895, 4178, 16, 1029, 6443, 1177, 6529, 541, 32738, 16, 492, 583, 322, 23414, 21285, 16, 1548, 374, 37434, 31034, 23457, 401, 3164, 322, 282, 9365, 8544, 680, 7579, 16, 367, 309, 5035, 1212, 13948, 16, 988, 492, 685, 282, 2159, 808, 43790, 18, 439, 518, 9868, 25371, 289, 371, 13627, 9868, 924, 16, 1660, 322, 639, 510, 44442, 481, 309, 16867, 12137, 33057, 910, 510, 9299, 971, 368, 2101, 14710, 3875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1254, 334, 32750, 41019, 510, 32912, 289, 40826, 44638, 7079, 16, 42779, 18933, 1347, 16, 27053, 18439, 16, 24880, 29498, 289, 438, 18, 478, 6039, 361, 309, 5734, 2083, 5675, 820, 9335, 289, 34534, 42268, 473, 43072, 416, 5767, 18113, 426, 355, 7257, 17401, 933, 19071, 13, 4586, 400, 7667, 1032, 5041, 13542, 41382, 18, 740, 40051, 411, 1129, 726, 7451, 411, 10929, 18, 2876, 1314, 282, 34797, 3164, 5825, 290, 816, 7751, 13400, 399, 15101, 18, 10334, 13400, 29711, 4095, 39307, 8056, 8329, 289, 518, 575, 15129, 282, 41499, 27482, 432, 4190, 334, 3405, 29, 41019, 16, 745, 1698, 35586, 13962, 1954, 1251, 1807, 910, 510, 5130, 309, 3614, 9526, 2926, 29201, 5366, 18, 365, 26155, 1045, 5487, 1421, 2223, 19425, 37716, 360, 32214, 510, 5936, 32214, 27115, 47308, 715, 2479, 16, 32214, 27115, 47308, 715, 2479, 15, 289, 32214, 27115, 47308, 715, 2479, 73, 16, 43627, 282, 2343, 3750, 18, 640, 35962, 1718, 4762, 1320, 4167, 35213, 360, 22350, 268, 35392, 718, 7741, 17956, 510, 32214, 27115, 47308, 1059, 13821, 1658, 18, 378, 274, 4367, 289, 1573, 12451, 2223, 19425, 13400, 29711, 16422, 510, 23819, 2554, 55, 30802, 289, 23819, 2554, 55, 16, 961, 478, 26807, 435, 3412, 470, 3785, 4424, 15075, 309, 29809, 680, 30104, 11826, 779, 18, 385, 2761, 27548, 16, 7192, 27548, 289, 43660, 4367, 2223, 3424, 5823, 19646, 6025, 32214, 510, 309, 1129, 3043, 14269, 32214, 27115, 47308, 715, 29, 16, 32214, 27115, 47308, 715, 29, 15, 289, 32214, 27115, 47308, 715, 28, 18, 7250, 2345, 43829, 13764, 8970, 478, 273, 1004, 1577, 910, 3858, 1779, 282, 3609, 17, 2479, 16, 37940, 4020, 73, 77, 860, 1899, 1939, 5982, 18, 3791, 5675, 820, 2030, 10050, 16, 374, 281, 27653, 3741, 15297, 289, 11769, 3741, 8786, 16, 15773, 289, 39940, 19071, 18, 5161, 16, 7134, 3531, 40468, 16, 34688, 4951, 11160, 4767, 8578, 18, 478, 13456, 14697, 16836, 4364, 22823, 22107, 2150, 3247, 289, 7709, 334, 32528, 416, 42949, 582, 1264, 18, 365, 4810, 16, 745, 12530, 31465, 22823, 289, 9434, 16, 428, 678, 840, 3624, 282, 29939, 7113, 4190, 473, 275, 10809, 16, 1279, 9495, 16, 785, 1135, 282, 34089, 289, 311, 18, 302, 3406, 910, 510, 5130, 309, 3614, 5675, 820, 2833, 18, 640, 16544, 416, 30104, 32214, 22644, 1833, 2846, 3741, 35032, 16, 515, 1143, 1223, 4612, 28546, 7356, 6380, 549, 7063, 281, 45689, 40871, 11329, 426, 339, 16, 1881, 4749, 5267, 27115, 47308, 1149, 4344, 18, 7249, 309, 502, 16, 374, 3655, 6575, 17, 8422, 755, 13302, 26916, 294, 1190, 2904, 16, 40891, 34450, 16170, 1833, 1293, 33799, 8689, 15297, 18, 996, 16, 3057, 16, 309, 2615, 3010, 8874, 40826, 44638, 5804, 6380, 434, 35032, 18, 967, 2695, 547, 10634, 11329, 1476, 840, 6380, 5559, 289, 25800, 5559, 8241, 445, 282, 3178, 2236, 2299, 16, 2391, 21215, 9449, 9056, 9292, 802, 510, 5870, 396, 3328, 1623, 13329, 16, 2486, 6110, 3857, 281, 17547, 319, 35, 3791, 1382, 288, 2477, 15423, 47778, 8578, 16, 1586, 519, 4319, 1326, 4821, 324, 510, 309, 30104, 33407, 874, 1177, 15497, 7190, 32214, 17245, 16, 289, 935, 284, 322, 387, 4435, 27115, 47308, 1149, 4344, 309, 38951, 9294, 4998, 16, 43009, 505, 687, 309, 14980, 18, 7042, 21215, 8347, 16695, 2141, 7501, 3236, 282, 970, 16, 374, 6380, 448, 13400, 29711, 32154, 1886, 282, 7711, 41303, 13670, 1015, 670, 41597, 18, 2949, 924, 16, 27306, 17605, 939, 14370, 1154, 7072, 8578, 510, 11846, 5862, 35213, 360, 32214, 28215, 282, 4843, 42653, 473, 25807, 22839, 4500, 18, 1671, 6185, 832, 3440, 22140, 3711, 289, 309, 12237, 3741, 35213, 291, 16422, 16, 1857, 3314, 282, 11130, 11826, 779, 18, 11339, 1223, 16, 21215, 6933, 46119, 867, 16, 374, 3655, 48015, 23819, 2554, 55, 30802, 334, 8331, 1721, 6009, 9858, 360, 1728, 33146, 1672, 11563, 33662, 23819, 2554, 289, 1623, 505, 13373, 5966, 1841, 297, 1532, 3663, 18, 3911, 436, 1476, 4090, 23819, 3716, 322, 20951, 18, 889, 3716, 1500, 575, 1621, 48, 30640, 17, 488, 436, 1476, 360, 32214, 16, 374, 289, 282, 23819, 2554, 18, 1397, 5327, 5806, 16, 6605, 12529, 23819, 2554, 55, 30802, 281, 9024, 4963, 1061, 2783, 528, 296, 18, 9639, 3321, 16422, 322, 939, 1261, 2274, 510, 935, 371, 2456, 2695, 547, 11885, 8292, 289, 2834, 2431, 2982, 333, 5394, 1321, 16, 349, 1205, 935, 2706, 26, 528, 296, 28684, 32357, 695, 18, 9873, 19603, 16, 14697, 45955, 8014, 414, 289, 4617, 18703, 35032, 510, 35213, 349, 3417, 17, 2783, 28, 4500, 18, 1671, 18, 329, 39214, 712, 363, 45946, 3180, 1674, 1941, 13660, 761, 473, 13817, 583, 37691, 15349, 3521, 668, 15733, 4934, 934, 367, 4193, 742, 541, 20422, 1051, 1965, 20098, 411, 22920, 18, 6682, 924, 16, 753, 424, 3008, 18199, 23819, 2554, 55, 30802, 294, 15324, 19328, 38, 3967, 16, 1320, 4128, 13501, 16851, 24199, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 392, 382, 15193, 512, 3875, 12952, 3495, 844, 5059, 324, 289, 12952, 403, 913, 342, 21038, 10106, 282, 11925, 281, 3988, 3642, 309, 11338, 4731, 25827, 1234, 9875, 18, 824, 697, 4734, 16, 1951, 2203, 10376, 20800, 1190, 26288, 16, 8888, 19417, 6642, 1110, 16, 1085, 12983, 25309, 567, 808, 9421, 11345, 2793, 18, 31224, 30, 38869, 578, 3056, 45908, 2910, 2160, 11338, 4731, 25827, 1234, 9875, 5823, 282, 5214, 19449, 32922, 16, 48897, 281, 7107, 659, 1027, 42154, 6242, 761, 510, 309, 7256, 445, 290, 2763, 647, 3875, 3318, 404, 2124, 18713, 18, 824, 3352, 22065, 478, 46911, 470, 1624, 23716, 14306, 36335, 16, 309, 2114, 571, 1383, 2128, 343, 12975, 31980, 10662, 16, 428, 1199, 3391, 2392, 1508, 1251, 25651, 3347, 2124, 13432, 289, 49342, 25776, 304, 9246, 1552, 13087, 8506, 46900, 23457, 2509, 18, 824, 3163, 41997, 10490, 30213, 3875, 12952, 3495, 844, 5059, 324, 16, 21178, 29547, 1951, 2203, 10376, 44407, 3590, 6642, 1209, 1110, 16, 1085, 12983, 7623, 25309, 567, 808, 9421, 11345, 2793, 18, 478, 563, 19895, 4178, 16, 1029, 6443, 1177, 6529, 541, 32738, 16, 492, 583, 322, 23414, 21285, 16, 1548, 374, 37434, 31034, 23457, 401, 3164, 322, 282, 9365, 8544, 680, 7579, 16, 367, 309, 5035, 1212, 13948, 16, 988, 492, 685, 282, 2159, 808, 43790, 18, 439, 518, 9868, 25371, 289, 371, 13627, 9868, 924, 16, 1660, 322, 639, 510, 44442, 481, 309, 16867, 12137, 33057, 910, 510, 9299, 971, 368, 2101, 14710, 3875 ]
[ 18, 817, 1038, 3828, 16, 374, 23092, 5806, 25651, 1275, 14977, 16, 18697, 1815, 282, 965, 1033, 5259, 4481, 3541, 3920, 20198, 567, 808, 2793, 16, 9414, 22738, 2733, 32494, 3248, 7715, 289, 5689, 14964, 553, 6684, 16, 1131, 42012, 282, 19721, 16, 510, 289, 2391, 15279, 10106, 282, 46899, 11285, 18, 5749, 3488, 406, 4419, 510, 282, 2343, 3750, 510, 37317, 16190, 11809, 15803, 2776, 919, 18128, 16, 30979, 282, 3198, 10032, 1580, 45470, 282, 39872, 423, 282, 11355, 1045, 16, 8494, 294, 4804, 10091, 33515, 7920, 1175, 25682, 3495, 8021, 23003, 281, 14503, 5292, 16064, 11969, 1743, 1279, 11338, 4731, 25827, 1234, 9875, 349, 20011, 290, 3177, 5651, 496, 529, 582, 16, 5923, 472, 5437, 17565, 18, 6592, 6215, 3033, 39198, 837, 16, 26288, 4731, 25827, 1234, 9875, 23042, 282, 1190, 478, 35536, 3590, 18703, 13667, 8323, 282, 17676, 7583, 13963, 861, 817, 1038, 16328, 6106, 16, 374, 3319, 830, 305, 4334, 16188, 11338, 478, 370, 5330, 467, 7005, 391, 5159, 268, 10057, 718, 25783, 455, 861, 8281, 24977, 541, 12652, 434, 32922, 12393, 364, 5172, 16, 18447, 1510, 764, 282, 3734, 1045, 30, 2197, 411, 1951, 2543, 4696, 510, 15726, 6999, 324, 342, 510, 282, 505, 4542, 34952, 8651, 1694, 30, 478, 1659, 1060, 39101, 35, 18049, 2870, 368, 334, 10853, 36331, 24450, 309, 374, 475, 1543, 575, 31980, 1450, 9780, 30, 478, 4441, 24090, 1510, 2441, 11809, 2776, 919, 18128, 5, 817, 6544, 294, 1490, 11215, 289, 3277, 4165, 861, 2333, 5770, 6946, 6730, 282, 27561, 281, 727, 4742, 1624, 37317, 2776, 919, 18128, 8566, 11618, 478, 262, 8106, 3021, 289, 49510, 323, 470, 282, 4599, 22896, 18, 478, 1358, 1329, 360, 1129, 2994, 26704, 25827, 1234, 9875, 510, 6924, 18, 478, 18386, 18, 8381, 470, 65, 322, 3027, 16, 428, 1551, 26628, 16, 453, 289, 840, 16, 827, 1743, 519, 1047, 40716, 18, 1614, 12539, 11152, 2452, 8150, 18, 46899, 11285, 24905, 18071, 16, 827, 28402, 12430, 5131, 16, 374, 1263, 2397, 23252, 16, 502, 1743, 840, 44356, 282, 1551, 910, 510, 1109, 492, 18, 1367, 344, 14572, 309, 571, 1383, 2128, 368, 2496, 11443, 289, 20295, 14564, 37911, 523, 1624, 5316, 1779, 1951, 2543, 11338, 478, 291, 2855, 861, 478, 7448, 16, 367, 785, 481, 7222, 873, 411, 4731, 25827, 1234, 9875, 6242, 530, 1215, 453, 35, 510, 8494, 294, 43374, 21985, 2771, 285, 282, 4301, 1360, 10376, 18, 510, 1606, 2419, 13173, 16, 374, 745, 4266, 16, 290, 571, 745, 4266, 35, 1606, 309, 8427, 1698, 1190, 6348, 510, 374, 481, 2174, 35, 640, 4317, 17, 844, 42224, 547, 12504, 263, 10916, 510, 8131, 26584, 411, 37005, 1798, 27210, 6221, 35, 459, 36146, 282, 27210, 16911, 6861, 1190, 723, 24151, 2776, 919, 3573, 510, 10779, 3384, 12902, 861, 19065, 16, 374, 10188, 31980, 18649, 10910, 448, 28783, 349, 1500, 830, 305, 283, 18, 6592, 25372, 582, 16, 309, 2083, 13144, 45908, 2910, 2160, 9872, 678, 906, 11792, 16, 374, 24890, 281, 42334, 2776, 919, 3573, 1623, 39902, 6063, 40080, 18, 478, 4670, 315, 2142, 1617, 25375, 28783, 349, 5172, 282, 4731, 25827, 1234, 9875, 3734, 779, 16, 988, 28703, 977, 16281, 12702, 11809, 18, 640, 1500, 2083, 417, 12019, 7738, 16, 374, 1542, 16281, 39902, 8518, 18, 11568, 987, 404, 18, 5181, 18, 24495, 703, 910, 510, 18585, 12975, 18, 5585, 1198, 507, 1038, 14291, 16, 374, 322, 2397, 3361, 294, 15248, 830, 305, 413, 16, 48588, 1752, 309, 12137, 4696, 16, 367, 1038, 19279, 35223, 18, 478, 6039, 40076, 473, 265, 481, 322, 8120, 13, 5524, 2625, 11389, 16, 334, 5076, 745, 29214, 3231, 1500, 6529, 16, 1029, 773, 42103, 910, 510, 39672, 678, 18, 2949, 924, 16, 31980, 4255, 5656, 16, 374, 567, 6477, 8465, 282, 17229, 1450, 6898, 3624, 282, 15120, 304, 9484, 510, 20927, 334, 7109, 25574, 282, 1119, 18, 1614, 1024, 4178, 343, 1038, 16926, 16, 374, 282, 1750, 39986, 1378, 15515, 26288, 3005, 39358, 478, 431, 5728, 519, 28286, 861, 2, 1, 87, 1456, 81, 2448, 30, 14792, 3981, 1162, 38392, 3565, 6347, 1788, 3022, 30070, 30416, 626, 16, 282, 2114, 24076, 318, 9208, 25545, 4436, 34371, 16, 6895, 17916, 12456, 2241, 18, 1606, 23220, 1007, 360, 1810, 411, 17, 431, 25754, 8776, 1645, 29175, 416, 3352, 290, 13458, 11881, 20288, 348, 364, 1751, 18, 14744, 10572, 3005, 5546, 13234, 6081, 1703, 31117, 16, 4266, 13156, 18, 31224, 30, 54, 17880, 3565, 15027, 17985, 3391, 360, 1810, 19668, 25545, 4436, 34371, 2241, 16, 282, 970, 2875, 2236, 17916, 12456, 16, 282, 2630, 281, 25754, 14785, 1330, 294, 8776, 4762, 29175, 416, 3352, 18, 985, 5301, 21408, 1624, 19633, 16, 6604, 16134, 282, 8776, 4762, 16, 34657, 349, 22990, 20288, 348, 32442, 18, 967, 803, 2628, 16, 374, 8120, 549, 5825, 38392, 3565, 906, 27543, 541, 29802, 6271, 18, 48942, 478, 45156, 778, 994, 470, 1055, 322, 39839, 18, 403, 41955, 14434, 30070, 30416, 626, 1698, 7924, 5873, 34938, 36667, 18, 824, 3352, 8667, 1149, 1095, 41635, 16, 11285, 334, 17686, 870, 582, 38392, 3565, 2780, 26893, 14781, 282, 11872, 4479, 779, 289, 17379, 2702, 20481, 16, 374, 7435, 3012, 2919, 7670, 4151, 16, 2628, 16, 541, 29802, 24411, 16, 5923, 6080, 478, 13261, 861, 365, 4542, 15140, 16, 2486, 46207, 1293, 4776, 16, 898, 27724, 10361, 448, 15463, 16, 4849, 15102, 16, 374, 4786, 411, 3437, 6814, 26158, 34019, 368, 16, 1029, 27809, 870, 454, 38392, 3565, 16, 25187, 289, 28293, 4896, 17019, 22636, 277, 2241, 16, 5130, 282, 23032, 8840, 334, 6508, 4118, 7546, 38392, 3565, 19340, 2334, 768, 4069, 853, 18, 459, 503, 6814, 2241, 519, 9512, 15140, 492, 322, 30523, 16, 36389, 309, 14471, 31381, 12670, 18, 478, 4348, 4502, 2484, 475, 835, 1505, 3775, 16, 961, 19197, 46609, 294, 6652, 1147, 33158, 16, 515, 309, 5734, 2083, 38392, 3565, 322, 840, 10919, 4302, 26724, 15841, 910, 510, 4725, 33879, 2612, 18, 365, 502, 575, 808, 16, 334, 3352, 1149, 1095, 41635, 16, 282, 8776, 17813, 24076, 318, 3203, 12456, 2241, 13997, 17, 12936, 12359, 28618, 354, 6960, 1624, 505, 16804, 39389, 616, 5675, 12913, 266, 289, 2076, 35544, 5115, 20288, 348, 32442, 14455, 263, 9226, 2847, 807, 748, 18, 967, 803, 8120, 549, 5825, 16087, 977, 16, 282, 4810, 16, 18933, 2632, 541, 46688, 20288, 348, 32442, 16, 961, 2125, 19111, 282, 13486, 1011, 4018, 779, 18, 1149, 1095, 41635, 44262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 817, 1038, 3828, 16, 374, 23092, 5806, 25651, 1275, 14977, 16, 18697, 1815, 282, 965, 1033, 5259, 4481, 3541, 3920, 20198, 567, 808, 2793, 16, 9414, 22738, 2733, 32494, 3248, 7715, 289, 5689, 14964, 553, 6684, 16, 1131, 42012, 282, 19721, 16, 510, 289, 2391, 15279, 10106, 282, 46899, 11285, 18, 5749, 3488, 406, 4419, 510, 282, 2343, 3750, 510, 37317, 16190, 11809, 15803, 2776, 919, 18128, 16, 30979, 282, 3198, 10032, 1580, 45470, 282, 39872, 423, 282, 11355, 1045, 16, 8494, 294, 4804, 10091, 33515, 7920, 1175, 25682, 3495, 8021, 23003, 281, 14503, 5292, 16064, 11969, 1743, 1279, 11338, 4731, 25827, 1234, 9875, 349, 20011, 290, 3177, 5651, 496, 529, 582, 16, 5923, 472, 5437, 17565, 18, 6592, 6215, 3033, 39198, 837, 16, 26288, 4731, 25827, 1234, 9875, 23042, 282, 1190, 478, 35536, 3590, 18703, 13667, 8323, 282, 17676, 7583, 13963, 861, 817, 1038, 16328, 6106, 16, 374, 3319, 830, 305, 4334, 16188, 11338, 478, 370, 5330, 467, 7005, 391, 5159, 268, 10057, 718, 25783, 455, 861, 8281, 24977, 541, 12652, 434, 32922, 12393, 364, 5172, 16, 18447, 1510, 764, 282, 3734, 1045, 30, 2197, 411, 1951, 2543, 4696, 510, 15726, 6999, 324, 342, 510, 282, 505, 4542, 34952, 8651, 1694, 30, 478, 1659, 1060, 39101, 35, 18049, 2870, 368, 334, 10853, 36331, 24450, 309, 374, 475, 1543, 575, 31980, 1450, 9780, 30, 478, 4441, 24090, 1510, 2441, 11809, 2776, 919, 18128, 5, 817, 6544, 294, 1490, 11215, 289, 3277, 4165, 861, 2333, 5770, 6946, 6730, 282, 27561, 281, 727, 4742, 1624, 37317, 2776, 919, 18128, 8566, 11618, 478, 262, 8106, 3021, 289, 49510, 323, 470, 282, 4599, 22896, 18, 478, 1358, 1329, 360, 1129, 2994, 26704, 25827, 1234, 9875, 510, 6924, 18, 478, 18386, 18, 8381, 470, 65, 322, 3027, 16, 428, 1551, 26628, 16, 453, 289, 840, 16, 827, 1743, 519, 1047, 40716, 18, 1614, 12539, 11152, 2452, 8150, 18, 46899, 11285, 24905, 18071, 16, 827, 28402, 12430, 5131, 16, 374, 1263, 2397, 23252, 16, 502, 1743, 840, 44356, 282, 1551, 910, 510, 1109, 492, 18, 1367, 344, 14572, 309, 571, 1383, 2128, 368, 2496, 11443, 289, 20295, 14564, 37911, 523, 1624, 5316, 1779, 1951, 2543, 11338, 478, 291, 2855, 861, 478, 7448, 16, 367, 785, 481, 7222, 873, 411, 4731, 25827, 1234, 9875, 6242, 530, 1215, 453, 35, 510, 8494, 294, 43374, 21985, 2771, 285, 282, 4301, 1360, 10376, 18, 510, 1606, 2419, 13173, 16, 374, 745, 4266, 16, 290, 571, 745, 4266, 35, 1606, 309, 8427, 1698, 1190, 6348, 510, 374, 481, 2174, 35, 640, 4317, 17, 844, 42224, 547, 12504, 263, 10916, 510, 8131, 26584, 411, 37005, 1798, 27210, 6221, 35, 459, 36146, 282, 27210, 16911, 6861, 1190, 723, 24151, 2776, 919, 3573, 510, 10779, 3384, 12902, 861, 19065, 16, 374, 10188, 31980, 18649, 10910, 448, 28783, 349, 1500, 830, 305, 283, 18, 6592, 25372, 582, 16, 309, 2083, 13144, 45908, 2910, 2160, 9872, 678, 906, 11792, 16, 374, 24890, 281, 42334, 2776, 919, 3573, 1623, 39902, 6063, 40080, 18, 478, 4670, 315, 2142, 1617, 25375, 28783, 349, 5172, 282, 4731, 25827, 1234, 9875, 3734, 779, 16, 988, 28703, 977, 16281, 12702, 11809, 18, 640, 1500, 2083, 417, 12019, 7738, 16, 374, 1542, 16281, 39902, 8518, 18, 11568, 987, 404, 18, 5181, 18, 24495, 703, 910, 510, 18585, 12975, 18, 5585, 1198, 507, 1038, 14291, 16, 374, 322, 2397, 3361, 294, 15248, 830, 305, 413, 16, 48588, 1752, 309, 12137, 4696, 16, 367, 1038, 19279, 35223, 18, 478, 6039, 40076, 473, 265, 481, 322, 8120, 13, 5524, 2625, 11389, 16, 334, 5076, 745, 29214, 3231, 1500, 6529, 16, 1029, 773, 42103, 910, 510, 39672, 678, 18, 2949, 924, 16, 31980, 4255, 5656, 16, 374, 567, 6477, 8465, 282, 17229, 1450, 6898, 3624, 282, 15120, 304, 9484, 510, 20927, 334, 7109, 25574, 282, 1119, 18, 1614, 1024, 4178, 343, 1038, 16926, 16, 374, 282, 1750, 39986, 1378, 15515, 26288, 3005, 39358, 478, 431, 5728, 519, 28286, 861, 2, 1, 87, 1456, 81, 2448, 30, 14792, 3981, 1162, 38392, 3565, 6347, 1788, 3022, 30070, 30416, 626, 16, 282, 2114, 24076, 318, 9208, 25545, 4436, 34371, 16, 6895, 17916, 12456, 2241, 18, 1606, 23220, 1007, 360, 1810, 411, 17, 431, 25754, 8776, 1645, 29175, 416, 3352, 290, 13458, 11881, 20288, 348, 364, 1751, 18, 14744, 10572, 3005, 5546, 13234, 6081, 1703, 31117, 16, 4266, 13156, 18, 31224, 30, 54, 17880, 3565, 15027, 17985, 3391, 360, 1810, 19668, 25545, 4436, 34371, 2241, 16, 282, 970, 2875, 2236, 17916, 12456, 16, 282, 2630, 281, 25754, 14785, 1330, 294, 8776, 4762, 29175, 416, 3352, 18, 985, 5301, 21408, 1624, 19633, 16, 6604, 16134, 282, 8776, 4762, 16, 34657, 349, 22990, 20288, 348, 32442, 18, 967, 803, 2628, 16, 374, 8120, 549, 5825, 38392, 3565, 906, 27543, 541, 29802, 6271, 18, 48942, 478, 45156, 778, 994, 470, 1055, 322, 39839, 18, 403, 41955, 14434, 30070, 30416, 626, 1698, 7924, 5873, 34938, 36667, 18, 824, 3352, 8667, 1149, 1095, 41635, 16, 11285, 334, 17686, 870, 582, 38392, 3565, 2780, 26893, 14781, 282, 11872, 4479, 779, 289, 17379, 2702, 20481, 16, 374, 7435, 3012, 2919, 7670, 4151, 16, 2628, 16, 541, 29802, 24411, 16, 5923, 6080, 478, 13261, 861, 365, 4542, 15140, 16, 2486, 46207, 1293, 4776, 16, 898, 27724, 10361, 448, 15463, 16, 4849, 15102, 16, 374, 4786, 411, 3437, 6814, 26158, 34019, 368, 16, 1029, 27809, 870, 454, 38392, 3565, 16, 25187, 289, 28293, 4896, 17019, 22636, 277, 2241, 16, 5130, 282, 23032, 8840, 334, 6508, 4118, 7546, 38392, 3565, 19340, 2334, 768, 4069, 853, 18, 459, 503, 6814, 2241, 519, 9512, 15140, 492, 322, 30523, 16, 36389, 309, 14471, 31381, 12670, 18, 478, 4348, 4502, 2484, 475, 835, 1505, 3775, 16, 961, 19197, 46609, 294, 6652, 1147, 33158, 16, 515, 309, 5734, 2083, 38392, 3565, 322, 840, 10919, 4302, 26724, 15841, 910, 510, 4725, 33879, 2612, 18, 365, 502, 575, 808, 16, 334, 3352, 1149, 1095, 41635, 16, 282, 8776, 17813, 24076, 318, 3203, 12456, 2241, 13997, 17, 12936, 12359, 28618, 354, 6960, 1624, 505, 16804, 39389, 616, 5675, 12913, 266, 289, 2076, 35544, 5115, 20288, 348, 32442, 14455, 263, 9226, 2847, 807, 748, 18, 967, 803, 8120, 549, 5825, 16087, 977, 16, 282, 4810, 16, 18933, 2632, 541, 46688, 20288, 348, 32442, 16, 961, 2125, 19111, 282, 13486, 1011, 4018, 779, 18, 1149, 1095, 41635, 44262 ]
[ 16, 374, 9208, 6814, 3012, 1166, 6661, 670, 32750, 7670, 4151, 7435, 16, 764, 322, 4737, 11328, 3469, 9534, 18, 21513, 6548, 2204, 5862, 6187, 38392, 3565, 35457, 378, 555, 354, 41847, 2089, 4371, 16, 33160, 16, 374, 282, 2038, 42997, 3005, 8662, 22847, 10621, 5115, 16, 515, 1745, 322, 15270, 20562, 12526, 16, 289, 38392, 3565, 371, 803, 47676, 281, 478, 11619, 1999, 4068, 13858, 39039, 861, 478, 4441, 1372, 27119, 16, 510, 15875, 21408, 7337, 3609, 17, 503, 383, 16767, 20305, 5810, 860, 3220, 73, 18, 510, 38392, 3565, 1623, 22659, 36958, 13858, 5324, 861, 985, 2815, 378, 555, 354, 16, 8776, 1645, 3352, 16, 2628, 16, 36657, 12402, 5936, 4696, 12526, 20288, 348, 32442, 289, 17356, 309, 1710, 16, 515, 322, 37283, 309, 2050, 368, 18, 478, 4441, 8249, 16, 515, 322, 453, 4702, 16, 428, 827, 373, 481, 898, 7435, 510, 8887, 502, 6663, 274, 36982, 291, 16, 18666, 22757, 16, 6911, 13553, 49868, 11621, 13660, 434, 8578, 289, 2887, 15004, 910, 510, 4725, 492, 18, 824, 505, 3163, 16, 14781, 322, 21519, 305, 309, 10286, 18427, 282, 16790, 20288, 348, 32442, 38392, 3565, 18, 985, 10050, 21408, 477, 7755, 309, 7897, 567, 35911, 21989, 16, 36667, 15244, 14781, 282, 4599, 478, 45156, 718, 26719, 470, 282, 8776, 17813, 29175, 416, 3352, 18, 365, 1423, 3678, 16, 8099, 9779, 5670, 22605, 29047, 356, 2815, 16, 374, 1055, 322, 895, 25111, 5135, 17, 3697, 16154, 18, 478, 54, 17880, 3565, 840, 26184, 319, 14267, 16, 367, 2512, 12895, 42027, 54, 45, 473, 20226, 582, 934, 334, 3025, 25103, 16, 840, 39651, 14781, 16, 510, 1109, 492, 282, 17130, 6653, 10612, 430, 18, 510, 365, 1177, 2083, 656, 3984, 3751, 8067, 1143, 290, 11510, 31691, 16, 316, 1414, 4646, 34046, 289, 453, 5287, 861, 365, 4440, 1045, 43277, 3785, 29569, 6622, 10929, 1949, 482, 7385, 20288, 348, 7014, 41991, 3188, 93, 16, 445, 1386, 434, 15448, 11494, 1802, 3669, 16382, 289, 580, 13870, 10815, 89, 3644, 309, 6518, 1079, 1484, 18, 365, 4018, 1045, 27827, 6622, 7572, 40133, 442, 305, 283, 296, 599, 523, 5099, 14801, 18, 42550, 38392, 3565, 6523, 1162, 47698, 282, 2343, 4479, 779, 2742, 8357, 20288, 348, 7014, 47698, 5810, 9845, 16, 1029, 685, 14449, 32720, 779, 282, 7044, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 23582, 17, 277, 1045, 1354, 3826, 8973, 5165, 1944, 2931, 16, 2024, 7788, 478, 273, 6772, 536, 11605, 470, 9792, 3918, 1018, 36937, 29049, 18, 459, 322, 687, 722, 510, 2496, 505, 10140, 1715, 475, 10689, 27683, 30703, 700, 18, 34608, 3422, 289, 17978, 28047, 1747, 3696, 2626, 10188, 18, 31224, 30, 10245, 348, 3222, 14535, 290, 568, 12358, 2236, 411, 3322, 11241, 30703, 49816, 8562, 2632, 16, 5792, 28908, 5135, 17, 1796, 15058, 3450, 19354, 10145, 18, 5161, 16, 478, 273, 6772, 451, 3809, 3918, 1018, 36937, 29049, 26942, 510, 492, 2826, 20824, 35400, 289, 11840, 668, 48947, 1159, 282, 1595, 12727, 282, 17590, 1045, 18, 1606, 6547, 702, 541, 2803, 1269, 16, 30543, 289, 6776, 8957, 1974, 31, 453, 16, 492, 367, 616, 675, 3064, 541, 1710, 15403, 478, 7306, 426, 28041, 910, 1586, 8599, 8824, 282, 5806, 322, 2236, 11358, 5781, 3358, 304, 4083, 18, 2046, 7818, 505, 453, 510, 2862, 1966, 288, 649, 18, 5165, 1944, 2931, 3404, 2319, 1143, 510, 505, 942, 7818, 1772, 10386, 11605, 365, 5124, 428, 15351, 16, 2524, 1398, 17, 375, 6926, 2272, 2009, 22772, 24245, 428, 6101, 10785, 33510, 20762, 18, 889, 685, 12634, 3728, 16063, 27151, 16, 428, 18339, 607, 16, 510, 322, 316, 16270, 16, 322, 4786, 16, 322, 1069, 635, 40689, 17853, 1451, 4695, 2452, 16, 367, 28992, 34182, 20837, 16, 1276, 40220, 988, 17, 299, 7670, 1153, 1251, 5022, 387, 1235, 604, 1736, 758, 18, 9706, 19050, 773, 8735, 16, 367, 1038, 505, 22747, 1157, 813, 12784, 2309, 12765, 30782, 12475, 16, 24007, 21287, 26870, 2846, 19606, 27683, 3182, 18, 12660, 289, 953, 322, 5736, 510, 492, 8542, 282, 3507, 424, 15469, 324, 554, 7493, 17015, 14977, 16, 1658, 3598, 11355, 779, 18, 365, 3998, 5259, 17, 292, 492, 1559, 23049, 30703, 26193, 16248, 478, 35367, 914, 470, 371, 25031, 18, 365, 18094, 1045, 5678, 309, 13367, 510, 685, 4292, 1235, 567, 16502, 1880, 27521, 5618, 17, 2499, 38322, 539, 24081, 16, 5747, 42708, 5460, 282, 1416, 356, 38322, 18, 999, 589, 1013, 2195, 289, 15097, 282, 3106, 25458, 16767, 289, 367, 616, 675, 483, 7336, 477, 26253, 6046, 979, 18642, 35674, 16, 282, 4810, 528, 18, 3034, 343, 16875, 289, 421, 18, 4671, 1208, 304, 18, 9706, 19050, 773, 282, 18560, 1045, 478, 28977, 46149, 8404, 470, 2458, 827, 322, 17171, 289, 705, 2610, 4202, 365, 5124, 16, 502, 3348, 411, 10235, 10247, 18, 8071, 779, 6396, 745, 10191, 18661, 264, 2389, 4056, 11898, 50144, 434, 10801, 478, 2176, 13609, 17163, 37870, 8735, 861, 4320, 282, 2145, 33992, 341, 41882, 2541, 16, 478, 28977, 46149, 8404, 470, 6776, 2625, 4698, 18345, 454, 17, 353, 1068, 356, 16, 411, 1754, 1871, 8735, 309, 46647, 478, 44595, 32248, 861, 27294, 14784, 647, 3003, 541, 3968, 404, 20993, 2325, 933, 2252, 31, 8507, 16, 281, 27653, 48363, 15826, 3860, 18, 5181, 16, 785, 678, 8874, 16, 3586, 7284, 802, 510, 33007, 48363, 12076, 1033, 1760, 3763, 30172, 18, 5953, 17, 263, 745, 4765, 467, 726, 282, 31964, 19739, 1378, 7644, 5983, 45002, 510, 411, 17, 1567, 47781, 5165, 1944, 8053, 19502, 2388, 41984, 8735, 16, 428, 478, 29579, 15379, 910, 478, 45065, 1637, 1810, 378, 2851, 435, 38438, 42235, 910, 478, 8756, 636, 475, 3066, 910, 478, 12145, 297, 405, 31684, 13603, 910, 367, 282, 17018, 1045, 510, 478, 4182, 4006, 286, 1177, 2309, 861, 4663, 19187, 2382, 724, 510, 47674, 520, 12171, 16615, 5855, 28169, 382, 16, 9462, 7050, 309, 15587, 3458, 4163, 22132, 1354, 16190, 1631, 16, 478, 28977, 46149, 8404, 470, 473, 264, 349, 2872, 289, 2393, 365, 5124, 13, 23640, 32957, 825, 6612, 10091, 3560, 3772, 451, 6029, 30782, 12475, 18, 1178, 8623, 473, 925, 10343, 3852, 382, 309, 35070, 13, 687, 3438, 7894, 478, 16563, 8470, 1000, 470, 289, 764, 22466, 4028, 282, 2865, 27647, 844, 1152, 476, 478, 8510, 9957, 1612, 470, 1381, 639, 6874, 2164, 874, 16, 502, 478, 28977, 46149, 8404, 470, 289, 697, 14703, 898, 309, 11318, 9090, 14029, 2038, 16, 18697, 2545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 374, 9208, 6814, 3012, 1166, 6661, 670, 32750, 7670, 4151, 7435, 16, 764, 322, 4737, 11328, 3469, 9534, 18, 21513, 6548, 2204, 5862, 6187, 38392, 3565, 35457, 378, 555, 354, 41847, 2089, 4371, 16, 33160, 16, 374, 282, 2038, 42997, 3005, 8662, 22847, 10621, 5115, 16, 515, 1745, 322, 15270, 20562, 12526, 16, 289, 38392, 3565, 371, 803, 47676, 281, 478, 11619, 1999, 4068, 13858, 39039, 861, 478, 4441, 1372, 27119, 16, 510, 15875, 21408, 7337, 3609, 17, 503, 383, 16767, 20305, 5810, 860, 3220, 73, 18, 510, 38392, 3565, 1623, 22659, 36958, 13858, 5324, 861, 985, 2815, 378, 555, 354, 16, 8776, 1645, 3352, 16, 2628, 16, 36657, 12402, 5936, 4696, 12526, 20288, 348, 32442, 289, 17356, 309, 1710, 16, 515, 322, 37283, 309, 2050, 368, 18, 478, 4441, 8249, 16, 515, 322, 453, 4702, 16, 428, 827, 373, 481, 898, 7435, 510, 8887, 502, 6663, 274, 36982, 291, 16, 18666, 22757, 16, 6911, 13553, 49868, 11621, 13660, 434, 8578, 289, 2887, 15004, 910, 510, 4725, 492, 18, 824, 505, 3163, 16, 14781, 322, 21519, 305, 309, 10286, 18427, 282, 16790, 20288, 348, 32442, 38392, 3565, 18, 985, 10050, 21408, 477, 7755, 309, 7897, 567, 35911, 21989, 16, 36667, 15244, 14781, 282, 4599, 478, 45156, 718, 26719, 470, 282, 8776, 17813, 29175, 416, 3352, 18, 365, 1423, 3678, 16, 8099, 9779, 5670, 22605, 29047, 356, 2815, 16, 374, 1055, 322, 895, 25111, 5135, 17, 3697, 16154, 18, 478, 54, 17880, 3565, 840, 26184, 319, 14267, 16, 367, 2512, 12895, 42027, 54, 45, 473, 20226, 582, 934, 334, 3025, 25103, 16, 840, 39651, 14781, 16, 510, 1109, 492, 282, 17130, 6653, 10612, 430, 18, 510, 365, 1177, 2083, 656, 3984, 3751, 8067, 1143, 290, 11510, 31691, 16, 316, 1414, 4646, 34046, 289, 453, 5287, 861, 365, 4440, 1045, 43277, 3785, 29569, 6622, 10929, 1949, 482, 7385, 20288, 348, 7014, 41991, 3188, 93, 16, 445, 1386, 434, 15448, 11494, 1802, 3669, 16382, 289, 580, 13870, 10815, 89, 3644, 309, 6518, 1079, 1484, 18, 365, 4018, 1045, 27827, 6622, 7572, 40133, 442, 305, 283, 296, 599, 523, 5099, 14801, 18, 42550, 38392, 3565, 6523, 1162, 47698, 282, 2343, 4479, 779, 2742, 8357, 20288, 348, 7014, 47698, 5810, 9845, 16, 1029, 685, 14449, 32720, 779, 282, 7044, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 23582, 17, 277, 1045, 1354, 3826, 8973, 5165, 1944, 2931, 16, 2024, 7788, 478, 273, 6772, 536, 11605, 470, 9792, 3918, 1018, 36937, 29049, 18, 459, 322, 687, 722, 510, 2496, 505, 10140, 1715, 475, 10689, 27683, 30703, 700, 18, 34608, 3422, 289, 17978, 28047, 1747, 3696, 2626, 10188, 18, 31224, 30, 10245, 348, 3222, 14535, 290, 568, 12358, 2236, 411, 3322, 11241, 30703, 49816, 8562, 2632, 16, 5792, 28908, 5135, 17, 1796, 15058, 3450, 19354, 10145, 18, 5161, 16, 478, 273, 6772, 451, 3809, 3918, 1018, 36937, 29049, 26942, 510, 492, 2826, 20824, 35400, 289, 11840, 668, 48947, 1159, 282, 1595, 12727, 282, 17590, 1045, 18, 1606, 6547, 702, 541, 2803, 1269, 16, 30543, 289, 6776, 8957, 1974, 31, 453, 16, 492, 367, 616, 675, 3064, 541, 1710, 15403, 478, 7306, 426, 28041, 910, 1586, 8599, 8824, 282, 5806, 322, 2236, 11358, 5781, 3358, 304, 4083, 18, 2046, 7818, 505, 453, 510, 2862, 1966, 288, 649, 18, 5165, 1944, 2931, 3404, 2319, 1143, 510, 505, 942, 7818, 1772, 10386, 11605, 365, 5124, 428, 15351, 16, 2524, 1398, 17, 375, 6926, 2272, 2009, 22772, 24245, 428, 6101, 10785, 33510, 20762, 18, 889, 685, 12634, 3728, 16063, 27151, 16, 428, 18339, 607, 16, 510, 322, 316, 16270, 16, 322, 4786, 16, 322, 1069, 635, 40689, 17853, 1451, 4695, 2452, 16, 367, 28992, 34182, 20837, 16, 1276, 40220, 988, 17, 299, 7670, 1153, 1251, 5022, 387, 1235, 604, 1736, 758, 18, 9706, 19050, 773, 8735, 16, 367, 1038, 505, 22747, 1157, 813, 12784, 2309, 12765, 30782, 12475, 16, 24007, 21287, 26870, 2846, 19606, 27683, 3182, 18, 12660, 289, 953, 322, 5736, 510, 492, 8542, 282, 3507, 424, 15469, 324, 554, 7493, 17015, 14977, 16, 1658, 3598, 11355, 779, 18, 365, 3998, 5259, 17, 292, 492, 1559, 23049, 30703, 26193, 16248, 478, 35367, 914, 470, 371, 25031, 18, 365, 18094, 1045, 5678, 309, 13367, 510, 685, 4292, 1235, 567, 16502, 1880, 27521, 5618, 17, 2499, 38322, 539, 24081, 16, 5747, 42708, 5460, 282, 1416, 356, 38322, 18, 999, 589, 1013, 2195, 289, 15097, 282, 3106, 25458, 16767, 289, 367, 616, 675, 483, 7336, 477, 26253, 6046, 979, 18642, 35674, 16, 282, 4810, 528, 18, 3034, 343, 16875, 289, 421, 18, 4671, 1208, 304, 18, 9706, 19050, 773, 282, 18560, 1045, 478, 28977, 46149, 8404, 470, 2458, 827, 322, 17171, 289, 705, 2610, 4202, 365, 5124, 16, 502, 3348, 411, 10235, 10247, 18, 8071, 779, 6396, 745, 10191, 18661, 264, 2389, 4056, 11898, 50144, 434, 10801, 478, 2176, 13609, 17163, 37870, 8735, 861, 4320, 282, 2145, 33992, 341, 41882, 2541, 16, 478, 28977, 46149, 8404, 470, 6776, 2625, 4698, 18345, 454, 17, 353, 1068, 356, 16, 411, 1754, 1871, 8735, 309, 46647, 478, 44595, 32248, 861, 27294, 14784, 647, 3003, 541, 3968, 404, 20993, 2325, 933, 2252, 31, 8507, 16, 281, 27653, 48363, 15826, 3860, 18, 5181, 16, 785, 678, 8874, 16, 3586, 7284, 802, 510, 33007, 48363, 12076, 1033, 1760, 3763, 30172, 18, 5953, 17, 263, 745, 4765, 467, 726, 282, 31964, 19739, 1378, 7644, 5983, 45002, 510, 411, 17, 1567, 47781, 5165, 1944, 8053, 19502, 2388, 41984, 8735, 16, 428, 478, 29579, 15379, 910, 478, 45065, 1637, 1810, 378, 2851, 435, 38438, 42235, 910, 478, 8756, 636, 475, 3066, 910, 478, 12145, 297, 405, 31684, 13603, 910, 367, 282, 17018, 1045, 510, 478, 4182, 4006, 286, 1177, 2309, 861, 4663, 19187, 2382, 724, 510, 47674, 520, 12171, 16615, 5855, 28169, 382, 16, 9462, 7050, 309, 15587, 3458, 4163, 22132, 1354, 16190, 1631, 16, 478, 28977, 46149, 8404, 470, 473, 264, 349, 2872, 289, 2393, 365, 5124, 13, 23640, 32957, 825, 6612, 10091, 3560, 3772, 451, 6029, 30782, 12475, 18, 1178, 8623, 473, 925, 10343, 3852, 382, 309, 35070, 13, 687, 3438, 7894, 478, 16563, 8470, 1000, 470, 289, 764, 22466, 4028, 282, 2865, 27647, 844, 1152, 476, 478, 8510, 9957, 1612, 470, 1381, 639, 6874, 2164, 874, 16, 502, 478, 28977, 46149, 8404, 470, 289, 697, 14703, 898, 309, 11318, 9090, 14029, 2038, 16, 18697, 2545 ]
[ 2332, 5634, 339, 742, 670, 3429, 7033, 18345, 454, 309, 17536, 5146, 572, 18, 459, 567, 10246, 481, 46998, 1717, 697, 12130, 16714, 5165, 1944, 8053, 18, 459, 37026, 450, 1991, 41976, 510, 14241, 16, 35118, 5508, 281, 3279, 2031, 847, 329, 1129, 309, 17634, 3142, 18, 22658, 8084, 16, 374, 2270, 282, 46147, 4676, 2524, 414, 10226, 36937, 29049, 371, 2077, 289, 749, 924, 7365, 1147, 12727, 272, 17825, 451, 3655, 29796, 18, 9418, 745, 281, 8954, 21536, 414, 2615, 2394, 309, 478, 49932, 304, 4033, 399, 1674, 470, 282, 24425, 282, 16951, 1045, 510, 281, 3217, 3453, 46835, 478, 7306, 426, 28041, 910, 367, 349, 1420, 19870, 282, 48254, 16, 39075, 3588, 306, 18, 365, 10423, 1045, 5165, 1944, 8053, 3029, 5832, 9440, 4309, 12750, 432, 6272, 36082, 17, 5737, 16, 289, 478, 28977, 46149, 8404, 470, 1974, 281, 36937, 29049, 23054, 309, 16586, 933, 10366, 2662, 289, 16649, 1165, 18, 14524, 8686, 353, 33510, 9313, 287, 23187, 26643, 16, 5165, 1944, 2931, 289, 505, 33406, 42721, 294, 31230, 4090, 8121, 510, 9001, 1789, 464, 10788, 31, 34349, 22772, 24245, 9543, 4015, 18906, 778, 6776, 1893, 281, 1498, 10756, 478, 983, 2334, 23951, 7754, 910, 1029, 4362, 2059, 411, 10235, 852, 17, 2592, 3284, 368, 6459, 17, 292, 18, 21003, 324, 9457, 8735, 478, 1295, 26440, 16, 25148, 504, 2334, 7769, 4271, 281, 978, 19963, 18, 12431, 478, 8510, 9957, 1612, 470, 289, 478, 16563, 8470, 1000, 470, 36042, 1829, 813, 282, 970, 16, 374, 3891, 8735, 411, 27305, 274, 25750, 282, 308, 5944, 2340, 277, 31, 1336, 575, 11980, 4345, 510, 16309, 19683, 30703, 49623, 22772, 24245, 10675, 6213, 282, 27305, 263, 289, 2756, 4056, 309, 2161, 13278, 29356, 582, 294, 47764, 17, 19638, 2800, 1100, 941, 1214, 6459, 17, 292, 16, 478, 618, 6537, 470, 11088, 18563, 19869, 18, 10482, 16, 374, 282, 26641, 22515, 478, 618, 8561, 470, 1717, 453, 289, 32520, 510, 478, 1295, 26440, 16, 25148, 504, 2334, 7769, 22558, 4149, 898, 537, 3390, 339, 9874, 24423, 510, 289, 478, 271, 4205, 6284, 1162, 15142, 910, 2672, 4749, 3333, 2393, 365, 5124, 16, 289, 590, 30580, 16, 289, 3059, 6781, 30580, 18, 1606, 687, 29068, 510, 14620, 16190, 3569, 9297, 354, 26336, 282, 32190, 13341, 16, 3085, 6954, 505, 1011, 27928, 289, 4626, 4433, 4551, 18, 1606, 3147, 5828, 17226, 2159, 6584, 14015, 30, 309, 12667, 5165, 1944, 8053, 282, 11097, 17, 277, 5842, 685, 19348, 21477, 478, 618, 326, 17, 12003, 807, 289, 9147, 46506, 910, 23383, 2024, 281, 26006, 14770, 7801, 309, 13297, 23655, 287, 3946, 33080, 2042, 32144, 18, 2949, 23506, 42099, 2514, 7644, 5983, 17777, 16, 5165, 1944, 2931, 685, 16, 567, 17, 7329, 16, 5406, 281, 44813, 2734, 339, 309, 1512, 16, 367, 567, 17, 8678, 16, 281, 44411, 28794, 680, 8723, 761, 18, 7905, 9270, 289, 11703, 22396, 16, 492, 867, 322, 2619, 14522, 19339, 2200, 11143, 2675, 31, 478, 28977, 46149, 8404, 470, 2002, 322, 898, 1139, 478, 333, 635, 40689, 25058, 32387, 861, 18110, 5298, 309, 1110, 16, 1085, 5931, 281, 1498, 282, 803, 365, 5124, 30, 3720, 7891, 280, 778, 1624, 3720, 3495, 394, 2931, 1624, 9543, 4015, 18906, 778, 16, 18159, 421, 962, 34222, 1624, 3720, 6606, 295, 609, 1624, 6096, 528, 1018, 4029, 18, 967, 918, 2135, 294, 478, 28977, 310, 1116, 32092, 470, 282, 30442, 808, 16, 745, 20310, 360, 1728, 12130, 29796, 16, 1029, 971, 567, 10246, 5186, 937, 22487, 697, 13208, 448, 20700, 18, 439, 396, 505, 28794, 1133, 18494, 2702, 2023, 16, 374, 282, 8439, 1045, 492, 13504, 15417, 16714, 5165, 1944, 8053, 16, 1029, 1559, 2059, 411, 27132, 3741, 48642, 1024, 23041, 289, 30703, 49816, 34401, 4534, 281, 15817, 15250, 10783, 510, 289, 5702, 42014, 519, 4319, 1326, 18, 439, 46147, 478, 28977, 46149, 8404, 470, 322, 2010, 4984, 10785, 12208, 519, 45883, 1728, 47992, 18, 2, 1, 87, 1456, 81, 2448, 30, 6039, 21017, 1505, 34864, 282, 1175, 282, 4145, 1045, 2125, 13541, 309, 8063, 17, 298, 2033, 16, 24070, 19048, 38946, 41945, 18, 3568, 291, 14131, 5327, 16199, 16, 47610, 5117, 16, 8594, 5281, 27494, 291, 18, 31336, 724, 2873, 687, 7499, 467, 16, 4266, 282, 27246, 30, 8811, 727, 29209, 8070, 46000, 49253, 289, 29856, 294, 3337, 1876, 1033, 42055, 695, 18, 31224, 30, 780, 2563, 18488, 16, 8594, 6343, 27494, 276, 289, 1934, 8904, 548, 2125, 1747, 282, 9484, 8063, 27604, 5024, 381, 39439, 282, 5337, 7576, 9324, 16, 4193, 309, 3531, 21017, 1505, 34864, 281, 1574, 42946, 27827, 15521, 282, 2604, 384, 9989, 6206, 18, 18619, 840, 30149, 4684, 13742, 349, 8739, 371, 10634, 2544, 5618, 17, 10926, 9642, 6657, 18, 365, 4810, 16, 3017, 28017, 23563, 294, 34461, 8217, 49174, 281, 491, 4776, 519, 430, 779, 18, 15066, 15102, 26119, 38946, 41945, 18, 3568, 291, 13172, 2125, 21398, 13684, 478, 3045, 770, 470, 4135, 16, 4660, 2625, 282, 27246, 18, 365, 3569, 399, 1153, 25156, 16, 374, 4193, 309, 3531, 21017, 1505, 34864, 840, 8236, 286, 31117, 289, 49439, 5942, 7768, 30, 32288, 28281, 840, 14217, 8991, 16, 367, 36239, 2906, 10438, 477, 1963, 727, 29209, 510, 5914, 10197, 18, 19695, 1958, 341, 21879, 16, 3279, 2125, 24488, 34864, 18, 9384, 3433, 14724, 840, 282, 41112, 4666, 23936, 6149, 282, 727, 29209, 289, 282, 14430, 506, 282, 16851, 34491, 18, 1598, 30120, 7321, 16, 11419, 281, 19526, 3741, 8063, 17, 343, 1265, 541, 7321, 48686, 1886, 309, 2706, 5096, 2791, 16, 5130, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 18, 365, 3569, 399, 1153, 1257, 3374, 3236, 16, 374, 282, 22587, 29183, 16, 988, 1003, 23519, 16, 21704, 41652, 5210, 6226, 21017, 1385, 28281, 18, 365, 41112, 4666, 329, 1129, 1943, 953, 16686, 286, 3672, 3577, 328, 1809, 5806, 18, 33768, 16, 374, 33375, 3352, 290, 7802, 333, 4678, 840, 19302, 25034, 16, 1029, 12106, 840, 25640, 5024, 282, 727, 29209, 18, 44788, 4760, 334, 2204, 7715, 840, 3558, 9902, 282, 3178, 1061, 986, 18, 967, 5941, 5825, 840, 43118, 4590, 1954, 5337, 2509, 36587, 18, 608, 17010, 11585, 2678, 9607, 1237, 31166, 291, 510, 745, 1747, 3558, 9902, 282, 41379, 2100, 18, 824, 4734, 7987, 39722, 16, 481, 840, 10943, 289, 12489, 1159, 16, 289, 4458, 10091, 16, 961, 1698, 15529, 3477, 6343, 31927, 18, 640, 5065, 6138, 1810, 34388, 6431, 281, 2921, 17983, 7438, 289, 5117 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2332, 5634, 339, 742, 670, 3429, 7033, 18345, 454, 309, 17536, 5146, 572, 18, 459, 567, 10246, 481, 46998, 1717, 697, 12130, 16714, 5165, 1944, 8053, 18, 459, 37026, 450, 1991, 41976, 510, 14241, 16, 35118, 5508, 281, 3279, 2031, 847, 329, 1129, 309, 17634, 3142, 18, 22658, 8084, 16, 374, 2270, 282, 46147, 4676, 2524, 414, 10226, 36937, 29049, 371, 2077, 289, 749, 924, 7365, 1147, 12727, 272, 17825, 451, 3655, 29796, 18, 9418, 745, 281, 8954, 21536, 414, 2615, 2394, 309, 478, 49932, 304, 4033, 399, 1674, 470, 282, 24425, 282, 16951, 1045, 510, 281, 3217, 3453, 46835, 478, 7306, 426, 28041, 910, 367, 349, 1420, 19870, 282, 48254, 16, 39075, 3588, 306, 18, 365, 10423, 1045, 5165, 1944, 8053, 3029, 5832, 9440, 4309, 12750, 432, 6272, 36082, 17, 5737, 16, 289, 478, 28977, 46149, 8404, 470, 1974, 281, 36937, 29049, 23054, 309, 16586, 933, 10366, 2662, 289, 16649, 1165, 18, 14524, 8686, 353, 33510, 9313, 287, 23187, 26643, 16, 5165, 1944, 2931, 289, 505, 33406, 42721, 294, 31230, 4090, 8121, 510, 9001, 1789, 464, 10788, 31, 34349, 22772, 24245, 9543, 4015, 18906, 778, 6776, 1893, 281, 1498, 10756, 478, 983, 2334, 23951, 7754, 910, 1029, 4362, 2059, 411, 10235, 852, 17, 2592, 3284, 368, 6459, 17, 292, 18, 21003, 324, 9457, 8735, 478, 1295, 26440, 16, 25148, 504, 2334, 7769, 4271, 281, 978, 19963, 18, 12431, 478, 8510, 9957, 1612, 470, 289, 478, 16563, 8470, 1000, 470, 36042, 1829, 813, 282, 970, 16, 374, 3891, 8735, 411, 27305, 274, 25750, 282, 308, 5944, 2340, 277, 31, 1336, 575, 11980, 4345, 510, 16309, 19683, 30703, 49623, 22772, 24245, 10675, 6213, 282, 27305, 263, 289, 2756, 4056, 309, 2161, 13278, 29356, 582, 294, 47764, 17, 19638, 2800, 1100, 941, 1214, 6459, 17, 292, 16, 478, 618, 6537, 470, 11088, 18563, 19869, 18, 10482, 16, 374, 282, 26641, 22515, 478, 618, 8561, 470, 1717, 453, 289, 32520, 510, 478, 1295, 26440, 16, 25148, 504, 2334, 7769, 22558, 4149, 898, 537, 3390, 339, 9874, 24423, 510, 289, 478, 271, 4205, 6284, 1162, 15142, 910, 2672, 4749, 3333, 2393, 365, 5124, 16, 289, 590, 30580, 16, 289, 3059, 6781, 30580, 18, 1606, 687, 29068, 510, 14620, 16190, 3569, 9297, 354, 26336, 282, 32190, 13341, 16, 3085, 6954, 505, 1011, 27928, 289, 4626, 4433, 4551, 18, 1606, 3147, 5828, 17226, 2159, 6584, 14015, 30, 309, 12667, 5165, 1944, 8053, 282, 11097, 17, 277, 5842, 685, 19348, 21477, 478, 618, 326, 17, 12003, 807, 289, 9147, 46506, 910, 23383, 2024, 281, 26006, 14770, 7801, 309, 13297, 23655, 287, 3946, 33080, 2042, 32144, 18, 2949, 23506, 42099, 2514, 7644, 5983, 17777, 16, 5165, 1944, 2931, 685, 16, 567, 17, 7329, 16, 5406, 281, 44813, 2734, 339, 309, 1512, 16, 367, 567, 17, 8678, 16, 281, 44411, 28794, 680, 8723, 761, 18, 7905, 9270, 289, 11703, 22396, 16, 492, 867, 322, 2619, 14522, 19339, 2200, 11143, 2675, 31, 478, 28977, 46149, 8404, 470, 2002, 322, 898, 1139, 478, 333, 635, 40689, 25058, 32387, 861, 18110, 5298, 309, 1110, 16, 1085, 5931, 281, 1498, 282, 803, 365, 5124, 30, 3720, 7891, 280, 778, 1624, 3720, 3495, 394, 2931, 1624, 9543, 4015, 18906, 778, 16, 18159, 421, 962, 34222, 1624, 3720, 6606, 295, 609, 1624, 6096, 528, 1018, 4029, 18, 967, 918, 2135, 294, 478, 28977, 310, 1116, 32092, 470, 282, 30442, 808, 16, 745, 20310, 360, 1728, 12130, 29796, 16, 1029, 971, 567, 10246, 5186, 937, 22487, 697, 13208, 448, 20700, 18, 439, 396, 505, 28794, 1133, 18494, 2702, 2023, 16, 374, 282, 8439, 1045, 492, 13504, 15417, 16714, 5165, 1944, 8053, 16, 1029, 1559, 2059, 411, 27132, 3741, 48642, 1024, 23041, 289, 30703, 49816, 34401, 4534, 281, 15817, 15250, 10783, 510, 289, 5702, 42014, 519, 4319, 1326, 18, 439, 46147, 478, 28977, 46149, 8404, 470, 322, 2010, 4984, 10785, 12208, 519, 45883, 1728, 47992, 18, 2, 1, 87, 1456, 81, 2448, 30, 6039, 21017, 1505, 34864, 282, 1175, 282, 4145, 1045, 2125, 13541, 309, 8063, 17, 298, 2033, 16, 24070, 19048, 38946, 41945, 18, 3568, 291, 14131, 5327, 16199, 16, 47610, 5117, 16, 8594, 5281, 27494, 291, 18, 31336, 724, 2873, 687, 7499, 467, 16, 4266, 282, 27246, 30, 8811, 727, 29209, 8070, 46000, 49253, 289, 29856, 294, 3337, 1876, 1033, 42055, 695, 18, 31224, 30, 780, 2563, 18488, 16, 8594, 6343, 27494, 276, 289, 1934, 8904, 548, 2125, 1747, 282, 9484, 8063, 27604, 5024, 381, 39439, 282, 5337, 7576, 9324, 16, 4193, 309, 3531, 21017, 1505, 34864, 281, 1574, 42946, 27827, 15521, 282, 2604, 384, 9989, 6206, 18, 18619, 840, 30149, 4684, 13742, 349, 8739, 371, 10634, 2544, 5618, 17, 10926, 9642, 6657, 18, 365, 4810, 16, 3017, 28017, 23563, 294, 34461, 8217, 49174, 281, 491, 4776, 519, 430, 779, 18, 15066, 15102, 26119, 38946, 41945, 18, 3568, 291, 13172, 2125, 21398, 13684, 478, 3045, 770, 470, 4135, 16, 4660, 2625, 282, 27246, 18, 365, 3569, 399, 1153, 25156, 16, 374, 4193, 309, 3531, 21017, 1505, 34864, 840, 8236, 286, 31117, 289, 49439, 5942, 7768, 30, 32288, 28281, 840, 14217, 8991, 16, 367, 36239, 2906, 10438, 477, 1963, 727, 29209, 510, 5914, 10197, 18, 19695, 1958, 341, 21879, 16, 3279, 2125, 24488, 34864, 18, 9384, 3433, 14724, 840, 282, 41112, 4666, 23936, 6149, 282, 727, 29209, 289, 282, 14430, 506, 282, 16851, 34491, 18, 1598, 30120, 7321, 16, 11419, 281, 19526, 3741, 8063, 17, 343, 1265, 541, 7321, 48686, 1886, 309, 2706, 5096, 2791, 16, 5130, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 18, 365, 3569, 399, 1153, 1257, 3374, 3236, 16, 374, 282, 22587, 29183, 16, 988, 1003, 23519, 16, 21704, 41652, 5210, 6226, 21017, 1385, 28281, 18, 365, 41112, 4666, 329, 1129, 1943, 953, 16686, 286, 3672, 3577, 328, 1809, 5806, 18, 33768, 16, 374, 33375, 3352, 290, 7802, 333, 4678, 840, 19302, 25034, 16, 1029, 12106, 840, 25640, 5024, 282, 727, 29209, 18, 44788, 4760, 334, 2204, 7715, 840, 3558, 9902, 282, 3178, 1061, 986, 18, 967, 5941, 5825, 840, 43118, 4590, 1954, 5337, 2509, 36587, 18, 608, 17010, 11585, 2678, 9607, 1237, 31166, 291, 510, 745, 1747, 3558, 9902, 282, 41379, 2100, 18, 824, 4734, 7987, 39722, 16, 481, 840, 10943, 289, 12489, 1159, 16, 289, 4458, 10091, 16, 961, 1698, 15529, 3477, 6343, 31927, 18, 640, 5065, 6138, 1810, 34388, 6431, 281, 2921, 17983, 7438, 289, 5117 ]
[ 41224, 289, 2393, 2553, 34055, 2198, 12619, 16, 41988, 41945, 18, 365, 2801, 1045, 1542, 25433, 840, 46057, 282, 32866, 541, 4729, 6961, 3416, 18, 439, 282, 15783, 281, 430, 4189, 4018, 779, 9843, 7435, 48350, 8390, 349, 3094, 13402, 3196, 496, 289, 322, 5285, 5832, 20961, 282, 7823, 8063, 17, 343, 1265, 18, 45241, 17, 22079, 478, 450, 713, 323, 1175, 26942, 3720, 46729, 7501, 1812, 322, 687, 282, 7243, 7790, 3283, 16, 515, 289, 5941, 1574, 5936, 18, 478, 6161, 387, 11754, 13853, 4942, 16, 828, 8391, 289, 828, 12254, 1867, 31296, 17983, 16, 387, 17101, 18807, 36324, 48193, 25697, 39594, 18, 439, 38020, 2988, 2141, 22359, 411, 7321, 670, 22359, 282, 478, 266, 522, 910, 510, 2548, 492, 18, 478, 677, 4008, 281, 49078, 49923, 47692, 7234, 322, 6453, 4618, 20866, 339, 1775, 16, 19514, 915, 7392, 289, 381, 18399, 5331, 2926, 910, 510, 23751, 12189, 18, 824, 505, 4734, 16, 23318, 322, 9553, 16207, 1519, 5502, 26235, 1791, 510, 8881, 411, 868, 10484, 16, 1372, 477, 13553, 2608, 282, 6829, 289, 453, 5287, 18, 478, 780, 317, 487, 6054, 38487, 34491, 19206, 770, 28281, 910, 510, 46340, 46729, 18, 478, 4348, 9002, 406, 7893, 8462, 16302, 432, 7898, 1801, 334, 44394, 1335, 10528, 910, 510, 5273, 492, 18, 30067, 25317, 2926, 48894, 416, 8063, 17, 6781, 17562, 4760, 282, 40349, 3025, 1175, 1033, 25899, 16, 12425, 602, 15843, 20101, 309, 23731, 547, 5814, 16, 5273, 45940, 30340, 908, 2426, 6070, 11974, 353, 7719, 18, 365, 4145, 1045, 21001, 12961, 3118, 4385, 16, 2548, 12189, 18, 478, 677, 2604, 1045, 942, 8481, 2869, 6138, 309, 8285, 3989, 27231, 8775, 18, 459, 1011, 924, 16, 428, 678, 840, 360, 3290, 324, 309, 803, 5066, 16, 1513, 40092, 16, 5870, 4461, 895, 953, 16135, 798, 309, 7300, 919, 3025, 2553, 910, 510, 16405, 11974, 353, 7719, 18, 824, 505, 4734, 16, 7924, 2102, 49532, 294, 49528, 10376, 4760, 282, 727, 29209, 282, 8063, 17, 298, 2033, 263, 2397, 5667, 282, 10705, 281, 24547, 360, 1533, 2634, 1135, 18, 740, 935, 282, 22587, 29183, 16, 7477, 7069, 2836, 1724, 397, 536, 3772, 304, 282, 4772, 16, 1698, 953, 3860, 18, 1178, 7064, 27651, 7794, 2236, 23903, 3577, 328, 1901, 4760, 16, 502, 16, 3848, 1223, 16, 481, 840, 478, 36327, 310, 7942, 910, 23751, 12189, 18, 478, 3743, 935, 541, 1047, 481, 840, 2702, 43970, 549, 8010, 910, 510, 23239, 11974, 353, 7719, 18, 824, 505, 4734, 16, 34758, 8063, 17, 343, 1265, 12693, 3748, 21729, 316, 1090, 339, 309, 24519, 3320, 18, 528, 5528, 290, 4735, 1408, 670, 10070, 2662, 309, 25388, 4676, 7435, 541, 15851, 19110, 1055, 7885, 16, 40530, 478, 46088, 18, 8381, 470, 282, 2554, 25, 46829, 3242, 13949, 18, 478, 37653, 525, 7865, 16, 1727, 8518, 16, 309, 22570, 16657, 924, 670, 13793, 8165, 25608, 16, 3253, 334, 1190, 13051, 324, 18, 1178, 4871, 2826, 12146, 32396, 541, 12899, 4546, 16, 502, 10287, 448, 20495, 9737, 293, 1886, 910, 510, 1109, 9216, 3594, 334, 42604, 477, 5792, 4137, 5423, 4083, 18, 967, 803, 492, 10050, 30, 282, 1750, 13595, 1335, 28349, 1513, 840, 282, 34968, 304, 9484, 31127, 16054, 5115, 428, 541, 4000, 16, 453, 289, 541, 7321, 16, 282, 970, 2875, 289, 281, 4947, 4611, 16115, 25801, 17213, 541, 39558, 416, 10376, 4760, 282, 40349, 2553, 18, 608, 768, 25, 1223, 282, 1175, 1314, 2364, 41196, 16199, 478, 672, 530, 320, 7489, 910, 478, 13931, 18467, 2541, 910, 478, 6207, 2796, 388, 861, 365, 39195, 13021, 17434, 1293, 21017, 360, 1032, 384, 26, 282, 478, 672, 530, 320, 717, 1165, 470, 519, 2555, 282, 478, 6207, 2796, 7315, 910, 44893, 282, 2241, 18, 20099, 7067, 18820, 6607, 77, 91, 77, 4944, 9810, 5269, 5273, 16, 374, 7865, 39722, 282, 8526, 7050, 10286, 7243, 272, 2749, 18, 478, 12936, 11820, 15713, 10201, 16, 374, 1574, 3149, 541, 34388, 6431, 5695, 8866, 30, 26417, 942, 309, 14217, 4840, 8390, 18, 5161, 16, 1421, 17, 29055, 779, 2158, 3433, 4461, 906, 8481, 10616, 282, 9893, 910, 510, 1109, 3609, 17, 23390, 320, 18, 824, 505, 3163, 16, 322, 4573, 25101, 5220, 874, 475, 21017, 1505, 34864, 18, 478, 677, 32866, 656, 726, 475, 27494, 276, 3577, 328, 7429, 7964, 1248, 3577, 328, 1924, 46630, 670, 21738, 276, 910, 510, 14268, 2433, 9810, 5269, 18, 824, 505, 3163, 16, 7072, 2395, 2749, 16, 40704, 9104, 294, 7924, 6879, 294, 41144, 1147, 27494, 272, 16, 510, 16837, 1061, 4500, 18, 2791, 18, 9810, 5269, 1038, 322, 8493, 3860, 282, 3705, 23903, 3577, 328, 1901, 4760, 18, 478, 4348, 18069, 2484, 2287, 3763, 7802, 333, 1437, 282, 1119, 16, 656, 7737, 373, 45192, 649, 2651, 6138, 910, 510, 2548, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 1464, 23417, 2825, 411, 37231, 820, 17, 21805, 1973, 718, 16, 4176, 2848, 43734, 2533, 360, 15616, 16, 23566, 6348, 294, 5142, 476, 18, 2785, 8047, 564, 17258, 282, 22286, 8303, 30, 1544, 1712, 1122, 8109, 371, 13982, 294, 3868, 582, 349, 3195, 18, 3881, 322, 7829, 5820, 289, 7455, 555, 2533, 1248, 349, 18217, 4651, 25201, 18, 13925, 678, 10703, 16, 374, 678, 44786, 17305, 282, 4096, 4426, 7090, 395, 12785, 2997, 289, 11620, 917, 277, 360, 6975, 18, 31224, 30, 3114, 17, 16981, 14999, 2016, 37231, 820, 17, 21805, 1973, 718, 40464, 1634, 36418, 14200, 289, 3437, 3868, 933, 2533, 360, 15616, 18, 17944, 722, 3809, 8325, 20467, 309, 2768, 16, 4228, 17752, 1642, 411, 17, 431, 9650, 2198, 4183, 38095, 18, 985, 3110, 2832, 84, 18, 1572, 16, 10344, 5020, 6556, 685, 282, 6648, 16, 3560, 21701, 282, 27354, 14126, 18, 365, 8303, 281, 1420, 16039, 15017, 7518, 289, 17252, 986, 16, 745, 24852, 18, 17668, 1501, 290, 28877, 750, 282, 8303, 309, 15301, 12444, 5544, 39969, 23937, 1642, 12175, 309, 34547, 27818, 3159, 282, 1488, 30, 6654, 4079, 18, 40822, 24611, 549, 17364, 11890, 7415, 3217, 16, 988, 7118, 5993, 2016, 18, 478, 5798, 417, 14772, 18992, 16, 13989, 13038, 282, 2979, 18, 889, 906, 3476, 17252, 16981, 42856, 18, 1253, 15395, 4366, 16, 453, 428, 329, 1129, 282, 2059, 411, 20955, 12543, 8107, 910, 510, 10703, 17781, 478, 21805, 3436, 470, 1760, 17, 16981, 4228, 18, 478, 677, 970, 16, 374, 678, 371, 13982, 1717, 437, 784, 16, 1003, 1329, 27915, 18, 10113, 7761, 1401 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41224, 289, 2393, 2553, 34055, 2198, 12619, 16, 41988, 41945, 18, 365, 2801, 1045, 1542, 25433, 840, 46057, 282, 32866, 541, 4729, 6961, 3416, 18, 439, 282, 15783, 281, 430, 4189, 4018, 779, 9843, 7435, 48350, 8390, 349, 3094, 13402, 3196, 496, 289, 322, 5285, 5832, 20961, 282, 7823, 8063, 17, 343, 1265, 18, 45241, 17, 22079, 478, 450, 713, 323, 1175, 26942, 3720, 46729, 7501, 1812, 322, 687, 282, 7243, 7790, 3283, 16, 515, 289, 5941, 1574, 5936, 18, 478, 6161, 387, 11754, 13853, 4942, 16, 828, 8391, 289, 828, 12254, 1867, 31296, 17983, 16, 387, 17101, 18807, 36324, 48193, 25697, 39594, 18, 439, 38020, 2988, 2141, 22359, 411, 7321, 670, 22359, 282, 478, 266, 522, 910, 510, 2548, 492, 18, 478, 677, 4008, 281, 49078, 49923, 47692, 7234, 322, 6453, 4618, 20866, 339, 1775, 16, 19514, 915, 7392, 289, 381, 18399, 5331, 2926, 910, 510, 23751, 12189, 18, 824, 505, 4734, 16, 23318, 322, 9553, 16207, 1519, 5502, 26235, 1791, 510, 8881, 411, 868, 10484, 16, 1372, 477, 13553, 2608, 282, 6829, 289, 453, 5287, 18, 478, 780, 317, 487, 6054, 38487, 34491, 19206, 770, 28281, 910, 510, 46340, 46729, 18, 478, 4348, 9002, 406, 7893, 8462, 16302, 432, 7898, 1801, 334, 44394, 1335, 10528, 910, 510, 5273, 492, 18, 30067, 25317, 2926, 48894, 416, 8063, 17, 6781, 17562, 4760, 282, 40349, 3025, 1175, 1033, 25899, 16, 12425, 602, 15843, 20101, 309, 23731, 547, 5814, 16, 5273, 45940, 30340, 908, 2426, 6070, 11974, 353, 7719, 18, 365, 4145, 1045, 21001, 12961, 3118, 4385, 16, 2548, 12189, 18, 478, 677, 2604, 1045, 942, 8481, 2869, 6138, 309, 8285, 3989, 27231, 8775, 18, 459, 1011, 924, 16, 428, 678, 840, 360, 3290, 324, 309, 803, 5066, 16, 1513, 40092, 16, 5870, 4461, 895, 953, 16135, 798, 309, 7300, 919, 3025, 2553, 910, 510, 16405, 11974, 353, 7719, 18, 824, 505, 4734, 16, 7924, 2102, 49532, 294, 49528, 10376, 4760, 282, 727, 29209, 282, 8063, 17, 298, 2033, 263, 2397, 5667, 282, 10705, 281, 24547, 360, 1533, 2634, 1135, 18, 740, 935, 282, 22587, 29183, 16, 7477, 7069, 2836, 1724, 397, 536, 3772, 304, 282, 4772, 16, 1698, 953, 3860, 18, 1178, 7064, 27651, 7794, 2236, 23903, 3577, 328, 1901, 4760, 16, 502, 16, 3848, 1223, 16, 481, 840, 478, 36327, 310, 7942, 910, 23751, 12189, 18, 478, 3743, 935, 541, 1047, 481, 840, 2702, 43970, 549, 8010, 910, 510, 23239, 11974, 353, 7719, 18, 824, 505, 4734, 16, 34758, 8063, 17, 343, 1265, 12693, 3748, 21729, 316, 1090, 339, 309, 24519, 3320, 18, 528, 5528, 290, 4735, 1408, 670, 10070, 2662, 309, 25388, 4676, 7435, 541, 15851, 19110, 1055, 7885, 16, 40530, 478, 46088, 18, 8381, 470, 282, 2554, 25, 46829, 3242, 13949, 18, 478, 37653, 525, 7865, 16, 1727, 8518, 16, 309, 22570, 16657, 924, 670, 13793, 8165, 25608, 16, 3253, 334, 1190, 13051, 324, 18, 1178, 4871, 2826, 12146, 32396, 541, 12899, 4546, 16, 502, 10287, 448, 20495, 9737, 293, 1886, 910, 510, 1109, 9216, 3594, 334, 42604, 477, 5792, 4137, 5423, 4083, 18, 967, 803, 492, 10050, 30, 282, 1750, 13595, 1335, 28349, 1513, 840, 282, 34968, 304, 9484, 31127, 16054, 5115, 428, 541, 4000, 16, 453, 289, 541, 7321, 16, 282, 970, 2875, 289, 281, 4947, 4611, 16115, 25801, 17213, 541, 39558, 416, 10376, 4760, 282, 40349, 2553, 18, 608, 768, 25, 1223, 282, 1175, 1314, 2364, 41196, 16199, 478, 672, 530, 320, 7489, 910, 478, 13931, 18467, 2541, 910, 478, 6207, 2796, 388, 861, 365, 39195, 13021, 17434, 1293, 21017, 360, 1032, 384, 26, 282, 478, 672, 530, 320, 717, 1165, 470, 519, 2555, 282, 478, 6207, 2796, 7315, 910, 44893, 282, 2241, 18, 20099, 7067, 18820, 6607, 77, 91, 77, 4944, 9810, 5269, 5273, 16, 374, 7865, 39722, 282, 8526, 7050, 10286, 7243, 272, 2749, 18, 478, 12936, 11820, 15713, 10201, 16, 374, 1574, 3149, 541, 34388, 6431, 5695, 8866, 30, 26417, 942, 309, 14217, 4840, 8390, 18, 5161, 16, 1421, 17, 29055, 779, 2158, 3433, 4461, 906, 8481, 10616, 282, 9893, 910, 510, 1109, 3609, 17, 23390, 320, 18, 824, 505, 3163, 16, 322, 4573, 25101, 5220, 874, 475, 21017, 1505, 34864, 18, 478, 677, 32866, 656, 726, 475, 27494, 276, 3577, 328, 7429, 7964, 1248, 3577, 328, 1924, 46630, 670, 21738, 276, 910, 510, 14268, 2433, 9810, 5269, 18, 824, 505, 3163, 16, 7072, 2395, 2749, 16, 40704, 9104, 294, 7924, 6879, 294, 41144, 1147, 27494, 272, 16, 510, 16837, 1061, 4500, 18, 2791, 18, 9810, 5269, 1038, 322, 8493, 3860, 282, 3705, 23903, 3577, 328, 1901, 4760, 18, 478, 4348, 18069, 2484, 2287, 3763, 7802, 333, 1437, 282, 1119, 16, 656, 7737, 373, 45192, 649, 2651, 6138, 910, 510, 2548, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 1464, 23417, 2825, 411, 37231, 820, 17, 21805, 1973, 718, 16, 4176, 2848, 43734, 2533, 360, 15616, 16, 23566, 6348, 294, 5142, 476, 18, 2785, 8047, 564, 17258, 282, 22286, 8303, 30, 1544, 1712, 1122, 8109, 371, 13982, 294, 3868, 582, 349, 3195, 18, 3881, 322, 7829, 5820, 289, 7455, 555, 2533, 1248, 349, 18217, 4651, 25201, 18, 13925, 678, 10703, 16, 374, 678, 44786, 17305, 282, 4096, 4426, 7090, 395, 12785, 2997, 289, 11620, 917, 277, 360, 6975, 18, 31224, 30, 3114, 17, 16981, 14999, 2016, 37231, 820, 17, 21805, 1973, 718, 40464, 1634, 36418, 14200, 289, 3437, 3868, 933, 2533, 360, 15616, 18, 17944, 722, 3809, 8325, 20467, 309, 2768, 16, 4228, 17752, 1642, 411, 17, 431, 9650, 2198, 4183, 38095, 18, 985, 3110, 2832, 84, 18, 1572, 16, 10344, 5020, 6556, 685, 282, 6648, 16, 3560, 21701, 282, 27354, 14126, 18, 365, 8303, 281, 1420, 16039, 15017, 7518, 289, 17252, 986, 16, 745, 24852, 18, 17668, 1501, 290, 28877, 750, 282, 8303, 309, 15301, 12444, 5544, 39969, 23937, 1642, 12175, 309, 34547, 27818, 3159, 282, 1488, 30, 6654, 4079, 18, 40822, 24611, 549, 17364, 11890, 7415, 3217, 16, 988, 7118, 5993, 2016, 18, 478, 5798, 417, 14772, 18992, 16, 13989, 13038, 282, 2979, 18, 889, 906, 3476, 17252, 16981, 42856, 18, 1253, 15395, 4366, 16, 453, 428, 329, 1129, 282, 2059, 411, 20955, 12543, 8107, 910, 510, 10703, 17781, 478, 21805, 3436, 470, 1760, 17, 16981, 4228, 18, 478, 677, 970, 16, 374, 678, 371, 13982, 1717, 437, 784, 16, 1003, 1329, 27915, 18, 10113, 7761, 1401 ]
[ 25002, 16, 656, 2669, 1907, 406, 702, 294, 6527, 282, 4446, 16, 510, 10703, 5993, 2016, 478, 26843, 910, 510, 1937, 417, 11802, 2979, 16, 42856, 7230, 281, 27134, 2742, 22074, 30, 478, 19572, 801, 16, 329, 813, 8107, 4271, 629, 2156, 27743, 23723, 289, 26580, 294, 1498, 282, 8094, 18, 1303, 726, 639, 282, 4337, 597, 18, 11966, 16, 43310, 18120, 510, 785, 417, 371, 13982, 16, 726, 36830, 3287, 935, 15954, 861, 365, 8303, 17767, 16, 10398, 17252, 17827, 11667, 16, 8926, 6501, 722, 36418, 14200, 510, 1949, 289, 4256, 986, 18, 4280, 1643, 1642, 322, 639, 16, 428, 289, 5906, 12928, 17767, 510, 475, 12357, 309, 2768, 18, 478, 21126, 8339, 4374, 282, 6900, 16, 2107, 510, 309, 11747, 18, 629, 23798, 697, 16, 1209, 19668, 16, 282, 23931, 15928, 289, 28679, 17243, 282, 1423, 8094, 18, 824, 8701, 16, 374, 8714, 1513, 2156, 16, 374, 8107, 895, 445, 3339, 357, 16, 453, 374, 309, 3868, 454, 417, 27743, 1423, 42525, 31499, 552, 16, 33322, 17533, 6812, 282, 19845, 18, 2052, 13027, 1154, 1634, 16, 1320, 17533, 6812, 289, 6554, 16, 374, 1381, 5840, 506, 910, 510, 22985, 4228, 18, 34212, 4548, 264, 1066, 371, 44172, 5993, 2016, 13282, 334, 1514, 14857, 30, 478, 6207, 900, 825, 411, 2533, 417, 11642, 1399, 6343, 8609, 22488, 16, 5332, 745, 5824, 925, 697, 437, 16013, 289, 294, 20535, 510, 687, 396, 965, 15720, 510, 4106, 17, 299, 411, 1634, 11642, 282, 2038, 1949, 25505, 16, 9794, 1604, 332, 16, 2616, 3207, 16, 282, 23931, 15928, 16, 7842, 281, 11870, 332, 349, 2038, 16, 6352, 30229, 16, 289, 656, 29182, 411, 1642, 18, 3739, 282, 8303, 417, 25138, 19520, 16, 5332, 678, 22321, 44856, 18, 1253, 16, 2091, 16, 7748, 22944, 297, 977, 18, 9570, 1833, 9665, 8490, 16, 1029, 360, 1386, 364, 722, 309, 2768, 510, 656, 7451, 411, 1642, 289, 1833, 26961, 15096, 294, 3130, 282, 5894, 18, 459, 1655, 575, 13473, 48708, 861, 365, 39788, 639, 1269, 16990, 16, 515, 8214, 23082, 8107, 322, 7730, 30, 47685, 687, 14902, 16, 988, 3237, 5627, 18, 478, 21292, 2620, 322, 639, 18, 999, 965, 510, 2820, 18, 4059, 609, 977, 687, 349, 2533, 16, 5332, 2504, 322, 38506, 16, 322, 309, 700, 13047, 16990, 16, 322, 2498, 3382, 16, 510, 10703, 5993, 2016, 478, 26843, 910, 510, 1937, 656, 14731, 887, 334, 9745, 16, 17118, 411, 17, 431, 16990, 639, 726, 939, 6392, 18, 3529, 417, 5892, 555, 16, 374, 322, 46321, 977, 4693, 9310, 1853, 8609, 39778, 541, 965, 16, 515, 48612, 977, 16, 374, 322, 15720, 11509, 4892, 5842, 33322, 18, 2112, 39900, 1320, 5522, 8749, 322, 639, 510, 687, 27574, 18, 459, 764, 5903, 2500, 40289, 289, 294, 27862, 16, 515, 481, 726, 360, 16990, 18, 889, 2493, 8192, 861, 824, 3163, 1760, 17, 17827, 4181, 7989, 16, 678, 5382, 16, 428, 8714, 282, 14777, 23070, 4096, 16, 4426, 7090, 395, 12785, 2997, 289, 7910, 7715, 16, 1341, 3250, 4419, 360, 6975, 18, 478, 26451, 481, 939, 1269, 445, 2382, 9529, 7761, 18, 608, 4030, 16, 428, 5245, 965, 282, 46390, 18160, 18, 365, 6648, 309, 45782, 12785, 2997, 1320, 381, 803, 1269, 5780, 16, 453, 374, 1542, 5825, 7150, 282, 296, 1004, 282, 2398, 18, 3747, 3757, 29866, 37407, 427, 289, 360, 6975, 16, 289, 360, 20894, 687, 24497, 467, 18, 11725, 1696, 16, 374, 477, 2924, 2900, 322, 14864, 2002, 18, 740, 1441, 417, 939, 12499, 16, 374, 2856, 10179, 26930, 2174, 2904, 910, 510, 2548, 4228, 18, 1937, 48708, 36897, 42104, 38083, 6273, 3977, 16, 14411, 3711, 48685, 294, 3100, 3787, 3243, 3910, 16990, 282, 35673, 18, 478, 563, 747, 455, 48188, 16, 515, 7747, 519, 4319, 1326, 6088, 16, 510, 15875, 5993, 2825, 40568, 18, 510, 740, 481, 764, 1329, 30, 329, 17767, 282, 5555, 15954, 36830, 6410, 453, 16, 374, 492, 29073, 11827, 18, 10118, 16, 374, 475, 21583, 1904, 861, 30233, 23959, 5993, 2016, 4181, 25272, 322, 5273, 30, 478, 35695, 12534, 27882, 18, 1253, 1696, 453, 3964, 906, 16, 309, 3705, 18, 6490, 322, 3207, 2048, 16, 1745, 322, 3207, 4366, 16, 322, 20949, 16, 374, 281, 3928, 1314, 3621, 16, 510, 9280, 5993, 2016, 16, 510, 17069, 16, 785, 6851, 16, 1320, 939, 22730, 289, 1833, 17058, 3977, 510, 656, 7451, 411, 1642, 11112, 282, 1613, 8427, 16, 785, 492, 44138, 309, 8436, 18, 1278, 42645, 1157, 16, 13380, 726, 1320, 381, 803, 6597, 18, 1303, 784, 14083, 365, 19512, 16, 4266, 16, 374, 417, 24794, 16, 374, 417, 43945, 18, 889, 939, 7946, 16, 515, 417, 965, 4181, 20684, 322, 9763, 18, 8269, 16, 374, 309, 8732, 2468, 453, 12175, 373, 2552, 1135, 18, 1268, 703, 2918, 538, 1354, 1888, 16, 289, 417, 7199, 16, 374, 9253, 861, 985, 6442, 282, 3781, 17, 12495, 24862, 3594, 12439, 1175, 334, 37776, 2818, 10020, 16, 282, 1488, 30, 11672, 8107, 282, 8303, 309, 28933, 685, 6958, 24055, 363, 16, 282, 1658, 30, 8492, 651, 3118, 16147, 1390, 18, 403, 19866, 954, 11091, 887, 4039, 1135, 13416, 9536, 289, 10384, 16482, 6657, 18, 365, 3198, 15616, 7519, 1007, 13993, 1505, 4465, 18, 25368, 15616, 14231, 2852, 21932, 4995, 18, 967, 9067, 49875, 36893, 8876, 18, 41378, 5993, 2825, 42591, 23566, 6348, 294, 6144, 2209, 5142, 476, 18, 478, 36865, 16, 2091, 16, 322, 36360, 16, 515, 6549, 541, 18624, 2804, 1241, 17713, 726, 33134, 16, 510, 23051, 40568, 282, 3781, 17, 12495, 11413, 18, 510, 7909, 8379, 2657, 406, 282, 4836, 8554, 16, 282, 7522, 16, 289, 428, 687, 10232, 1078, 16, 656, 21353, 7153, 8563, 24982, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 35436, 5306, 2966, 925, 5487, 10781, 11469, 718, 9536, 16, 5546, 11581, 541, 12457, 1269, 13674, 5925, 6798, 17, 5350, 3334, 9640, 282, 22379, 2331, 46586, 5420, 16, 867, 3818, 529, 6468, 2081, 448, 20709, 2222, 13229, 16, 374, 8876, 282, 6491, 18622, 17, 899, 464, 607, 2160, 29574, 27568, 15976, 41522, 2678, 8312, 3844, 1368, 8855, 281, 9609, 309, 12490, 7835, 34822, 6238, 27941, 8878, 5306, 18, 31224, 30, 4580, 3452, 755, 35436, 5306, 473, 1243, 282, 27568, 7291, 8892, 27624, 5084, 6798, 17, 5350, 1703, 46542, 13, 9541, 17, 1117, 12742, 6288, 562, 5455, 2774, 263, 15130, 14251, 19546, 955, 499, 1214, 553, 8833, 807, 45298, 35436, 473, 35516, 22547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25002, 16, 656, 2669, 1907, 406, 702, 294, 6527, 282, 4446, 16, 510, 10703, 5993, 2016, 478, 26843, 910, 510, 1937, 417, 11802, 2979, 16, 42856, 7230, 281, 27134, 2742, 22074, 30, 478, 19572, 801, 16, 329, 813, 8107, 4271, 629, 2156, 27743, 23723, 289, 26580, 294, 1498, 282, 8094, 18, 1303, 726, 639, 282, 4337, 597, 18, 11966, 16, 43310, 18120, 510, 785, 417, 371, 13982, 16, 726, 36830, 3287, 935, 15954, 861, 365, 8303, 17767, 16, 10398, 17252, 17827, 11667, 16, 8926, 6501, 722, 36418, 14200, 510, 1949, 289, 4256, 986, 18, 4280, 1643, 1642, 322, 639, 16, 428, 289, 5906, 12928, 17767, 510, 475, 12357, 309, 2768, 18, 478, 21126, 8339, 4374, 282, 6900, 16, 2107, 510, 309, 11747, 18, 629, 23798, 697, 16, 1209, 19668, 16, 282, 23931, 15928, 289, 28679, 17243, 282, 1423, 8094, 18, 824, 8701, 16, 374, 8714, 1513, 2156, 16, 374, 8107, 895, 445, 3339, 357, 16, 453, 374, 309, 3868, 454, 417, 27743, 1423, 42525, 31499, 552, 16, 33322, 17533, 6812, 282, 19845, 18, 2052, 13027, 1154, 1634, 16, 1320, 17533, 6812, 289, 6554, 16, 374, 1381, 5840, 506, 910, 510, 22985, 4228, 18, 34212, 4548, 264, 1066, 371, 44172, 5993, 2016, 13282, 334, 1514, 14857, 30, 478, 6207, 900, 825, 411, 2533, 417, 11642, 1399, 6343, 8609, 22488, 16, 5332, 745, 5824, 925, 697, 437, 16013, 289, 294, 20535, 510, 687, 396, 965, 15720, 510, 4106, 17, 299, 411, 1634, 11642, 282, 2038, 1949, 25505, 16, 9794, 1604, 332, 16, 2616, 3207, 16, 282, 23931, 15928, 16, 7842, 281, 11870, 332, 349, 2038, 16, 6352, 30229, 16, 289, 656, 29182, 411, 1642, 18, 3739, 282, 8303, 417, 25138, 19520, 16, 5332, 678, 22321, 44856, 18, 1253, 16, 2091, 16, 7748, 22944, 297, 977, 18, 9570, 1833, 9665, 8490, 16, 1029, 360, 1386, 364, 722, 309, 2768, 510, 656, 7451, 411, 1642, 289, 1833, 26961, 15096, 294, 3130, 282, 5894, 18, 459, 1655, 575, 13473, 48708, 861, 365, 39788, 639, 1269, 16990, 16, 515, 8214, 23082, 8107, 322, 7730, 30, 47685, 687, 14902, 16, 988, 3237, 5627, 18, 478, 21292, 2620, 322, 639, 18, 999, 965, 510, 2820, 18, 4059, 609, 977, 687, 349, 2533, 16, 5332, 2504, 322, 38506, 16, 322, 309, 700, 13047, 16990, 16, 322, 2498, 3382, 16, 510, 10703, 5993, 2016, 478, 26843, 910, 510, 1937, 656, 14731, 887, 334, 9745, 16, 17118, 411, 17, 431, 16990, 639, 726, 939, 6392, 18, 3529, 417, 5892, 555, 16, 374, 322, 46321, 977, 4693, 9310, 1853, 8609, 39778, 541, 965, 16, 515, 48612, 977, 16, 374, 322, 15720, 11509, 4892, 5842, 33322, 18, 2112, 39900, 1320, 5522, 8749, 322, 639, 510, 687, 27574, 18, 459, 764, 5903, 2500, 40289, 289, 294, 27862, 16, 515, 481, 726, 360, 16990, 18, 889, 2493, 8192, 861, 824, 3163, 1760, 17, 17827, 4181, 7989, 16, 678, 5382, 16, 428, 8714, 282, 14777, 23070, 4096, 16, 4426, 7090, 395, 12785, 2997, 289, 7910, 7715, 16, 1341, 3250, 4419, 360, 6975, 18, 478, 26451, 481, 939, 1269, 445, 2382, 9529, 7761, 18, 608, 4030, 16, 428, 5245, 965, 282, 46390, 18160, 18, 365, 6648, 309, 45782, 12785, 2997, 1320, 381, 803, 1269, 5780, 16, 453, 374, 1542, 5825, 7150, 282, 296, 1004, 282, 2398, 18, 3747, 3757, 29866, 37407, 427, 289, 360, 6975, 16, 289, 360, 20894, 687, 24497, 467, 18, 11725, 1696, 16, 374, 477, 2924, 2900, 322, 14864, 2002, 18, 740, 1441, 417, 939, 12499, 16, 374, 2856, 10179, 26930, 2174, 2904, 910, 510, 2548, 4228, 18, 1937, 48708, 36897, 42104, 38083, 6273, 3977, 16, 14411, 3711, 48685, 294, 3100, 3787, 3243, 3910, 16990, 282, 35673, 18, 478, 563, 747, 455, 48188, 16, 515, 7747, 519, 4319, 1326, 6088, 16, 510, 15875, 5993, 2825, 40568, 18, 510, 740, 481, 764, 1329, 30, 329, 17767, 282, 5555, 15954, 36830, 6410, 453, 16, 374, 492, 29073, 11827, 18, 10118, 16, 374, 475, 21583, 1904, 861, 30233, 23959, 5993, 2016, 4181, 25272, 322, 5273, 30, 478, 35695, 12534, 27882, 18, 1253, 1696, 453, 3964, 906, 16, 309, 3705, 18, 6490, 322, 3207, 2048, 16, 1745, 322, 3207, 4366, 16, 322, 20949, 16, 374, 281, 3928, 1314, 3621, 16, 510, 9280, 5993, 2016, 16, 510, 17069, 16, 785, 6851, 16, 1320, 939, 22730, 289, 1833, 17058, 3977, 510, 656, 7451, 411, 1642, 11112, 282, 1613, 8427, 16, 785, 492, 44138, 309, 8436, 18, 1278, 42645, 1157, 16, 13380, 726, 1320, 381, 803, 6597, 18, 1303, 784, 14083, 365, 19512, 16, 4266, 16, 374, 417, 24794, 16, 374, 417, 43945, 18, 889, 939, 7946, 16, 515, 417, 965, 4181, 20684, 322, 9763, 18, 8269, 16, 374, 309, 8732, 2468, 453, 12175, 373, 2552, 1135, 18, 1268, 703, 2918, 538, 1354, 1888, 16, 289, 417, 7199, 16, 374, 9253, 861, 985, 6442, 282, 3781, 17, 12495, 24862, 3594, 12439, 1175, 334, 37776, 2818, 10020, 16, 282, 1488, 30, 11672, 8107, 282, 8303, 309, 28933, 685, 6958, 24055, 363, 16, 282, 1658, 30, 8492, 651, 3118, 16147, 1390, 18, 403, 19866, 954, 11091, 887, 4039, 1135, 13416, 9536, 289, 10384, 16482, 6657, 18, 365, 3198, 15616, 7519, 1007, 13993, 1505, 4465, 18, 25368, 15616, 14231, 2852, 21932, 4995, 18, 967, 9067, 49875, 36893, 8876, 18, 41378, 5993, 2825, 42591, 23566, 6348, 294, 6144, 2209, 5142, 476, 18, 478, 36865, 16, 2091, 16, 322, 36360, 16, 515, 6549, 541, 18624, 2804, 1241, 17713, 726, 33134, 16, 510, 23051, 40568, 282, 3781, 17, 12495, 11413, 18, 510, 7909, 8379, 2657, 406, 282, 4836, 8554, 16, 282, 7522, 16, 289, 428, 687, 10232, 1078, 16, 656, 21353, 7153, 8563, 24982, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 35436, 5306, 2966, 925, 5487, 10781, 11469, 718, 9536, 16, 5546, 11581, 541, 12457, 1269, 13674, 5925, 6798, 17, 5350, 3334, 9640, 282, 22379, 2331, 46586, 5420, 16, 867, 3818, 529, 6468, 2081, 448, 20709, 2222, 13229, 16, 374, 8876, 282, 6491, 18622, 17, 899, 464, 607, 2160, 29574, 27568, 15976, 41522, 2678, 8312, 3844, 1368, 8855, 281, 9609, 309, 12490, 7835, 34822, 6238, 27941, 8878, 5306, 18, 31224, 30, 4580, 3452, 755, 35436, 5306, 473, 1243, 282, 27568, 7291, 8892, 27624, 5084, 6798, 17, 5350, 1703, 46542, 13, 9541, 17, 1117, 12742, 6288, 562, 5455, 2774, 263, 15130, 14251, 19546, 955, 499, 1214, 553, 8833, 807, 45298, 35436, 473, 35516, 22547 ]
[ 5758, 4761, 2426, 13, 1332, 5675, 2541, 309, 9839, 17, 17569, 5306, 16, 988, 282, 4675, 808, 32131, 5851, 12424, 289, 21240, 541, 15429, 12183, 35436, 18, 9114, 12946, 35436, 5306, 16, 31891, 4486, 30170, 430, 17, 361, 25812, 16, 9311, 282, 2452, 2236, 411, 18911, 12183, 16, 5546, 11581, 541, 18622, 17, 899, 464, 607, 2160, 29574, 18, 365, 5305, 18558, 1177, 4831, 349, 28545, 289, 49804, 1617, 6196, 19336, 4212, 49195, 12609, 9808, 1624, 428, 19988, 16, 4652, 294, 1939, 4691, 1045, 18, 4794, 7461, 16, 1830, 289, 49238, 3793, 334, 8698, 2095, 14560, 2403, 4004, 16, 867, 322, 2619, 16, 3929, 828, 17, 299, 4011, 29342, 16307, 541, 45298, 35436, 16, 961, 3255, 16, 1011, 13863, 13087, 8506, 16, 9462, 40045, 2159, 2904, 309, 39439, 20213, 46914, 282, 1033, 7236, 1378, 360, 1175, 34888, 18, 1367, 803, 5301, 30047, 14012, 18045, 18, 48733, 16101, 289, 1175, 4893, 13029, 17091, 1011, 36987, 282, 14613, 13557, 2801, 779, 16, 334, 8872, 2024, 21128, 15732, 424, 37208, 1066, 2407, 18, 3791, 15332, 5768, 13269, 2044, 9466, 8641, 6447, 11319, 4504, 45585, 1767, 16, 1210, 2545, 2019, 294, 25181, 2818, 23449, 289, 29509, 448, 8535, 281, 39578, 17, 23418, 3317, 9808, 510, 8402, 1406, 289, 20735, 18, 478, 19386, 549, 18840, 5902, 289, 1033, 13605, 47702, 15970, 17, 18876, 434, 10137, 6684, 5348, 282, 4675, 808, 23160, 10287, 758, 1137, 3746, 5743, 12517, 5219, 1378, 16521, 1333, 9808, 910, 510, 1109, 26151, 5455, 2774, 263, 309, 17581, 282, 5675, 6887, 18, 824, 505, 3163, 16, 478, 9165, 6011, 17, 899, 464, 607, 3878, 6007, 46586, 5420, 22121, 435, 519, 4999, 16, 1029, 2002, 322, 3542, 6608, 4419, 861, 824, 7475, 5455, 2774, 263, 16, 282, 3142, 478, 36337, 416, 2793, 470, 12267, 1133, 35436, 42764, 4650, 668, 2301, 46586, 5420, 428, 30914, 3196, 26446, 12455, 1279, 11412, 10950, 291, 2044, 17, 23418, 2543, 43561, 718, 9105, 16, 4132, 11795, 41842, 282, 5451, 539, 4993, 16, 753, 29086, 5129, 39905, 309, 6759, 2662, 697, 44902, 411, 2145, 18, 365, 2874, 4701, 16, 5273, 5455, 2774, 263, 16, 478, 29156, 1846, 1880, 4993, 1623, 13842, 2425, 5325, 21257, 16, 2196, 38978, 2388, 4000, 15970, 766, 1822, 6507, 41724, 16, 428, 36403, 289, 2553, 7988, 2376, 16, 367, 1038, 13813, 17815, 9808, 510, 13474, 12671, 289, 13678, 1066, 510, 281, 34417, 6906, 5538, 861, 1787, 35621, 25181, 1880, 4993, 6048, 1807, 3872, 16089, 4972, 428, 541, 7225, 8647, 27568, 16, 453, 289, 20853, 334, 9808, 18, 28186, 5500, 13374, 16523, 289, 3623, 5306, 282, 13785, 2001, 403, 696, 37398, 504, 8466, 267, 10050, 16, 374, 309, 7988, 9068, 1800, 9600, 687, 15871, 411, 7619, 2044, 16, 32862, 282, 9808, 16, 895, 30165, 13290, 282, 803, 3948, 28397, 36883, 18, 478, 563, 5254, 2444, 7642, 16, 374, 541, 35436, 16, 3057, 16, 2145, 16, 11965, 2198, 14093, 624, 289, 5670, 16, 8214, 17805, 7988, 5902, 322, 6048, 910, 510, 5273, 26351, 267, 18, 824, 20234, 14540, 16, 481, 18210, 48917, 34361, 282, 970, 16, 374, 282, 1750, 22323, 50100, 11220, 309, 25181, 1212, 4993, 11291, 1837, 17241, 18622, 17, 899, 464, 607, 2257, 8266, 9808, 4128, 1717, 5306, 16, 3387, 329, 371, 8262, 1846, 933, 2044, 289, 15500, 281, 4940, 5275, 1330, 473, 347, 289, 2141, 281, 37439, 13, 6798, 17, 5350, 933, 10950, 291, 1008, 448, 3860, 18, 7249, 309, 14267, 4534, 282, 14377, 617, 289, 2122, 16860, 2603, 21456, 18979, 309, 7988, 9068, 16, 1717, 281, 9609, 15871, 37090, 3655, 2303, 15184, 478, 19386, 451, 6469, 510, 491, 861, 37398, 504, 8466, 267, 25225, 289, 978, 6356, 16, 30634, 16, 374, 1513, 15870, 764, 289, 1247, 6997, 18, 1268, 9261, 2044, 16, 334, 505, 4734, 16, 5138, 530, 2702, 14377, 448, 10744, 282, 4599, 978, 10266, 1861, 434, 11407, 18, 365, 1335, 2630, 329, 35436, 5306, 912, 9118, 13187, 2846, 3741, 1040, 7629, 16, 9795, 848, 6728, 541, 9275, 5348, 282, 4190, 2242, 405, 1485, 289, 3358, 1884, 1042, 16, 961, 48844, 541, 3725, 14297, 46586, 5420, 18, 9873, 978, 16, 282, 4301, 4696, 3281, 35436, 5306, 478, 6706, 869, 17, 5350, 1133, 3402, 510, 1939, 3161, 11382, 470, 281, 1939, 6091, 779, 27827, 6622, 8922, 282, 11424, 2452, 46688, 1269, 4550, 10561, 11412, 5115, 860, 47, 55, 48573, 16, 961, 8356, 530, 10251, 298, 2508, 35728, 548, 4528, 478, 983, 616, 2895, 7474, 861, 2949, 924, 16, 27827, 1482, 4562, 12611, 4504, 1524, 315, 17, 1282, 14764, 1333, 11604, 18, 478, 1358, 20018, 16, 374, 4101, 3193, 24596, 35436, 27568, 322, 3929, 30914, 45663, 15774, 323, 910, 510, 4848, 478, 46088, 18, 8381, 470, 11350, 17, 1821, 14969, 24862, 12183, 25318, 17, 5350, 718, 11604, 2407, 26151, 7947, 32261, 6235, 18, 824, 505, 4734, 16, 349, 2184, 40388, 11473, 32741, 477, 1963, 31988, 18, 459, 282, 6688, 48917, 11604, 17583, 46885, 8921, 10723, 18, 385, 2059, 1963, 16, 1381, 17998, 1086, 8641, 7583, 25182, 16, 367, 281, 2107, 1963, 510, 282, 1750, 50100, 11220, 309, 7988, 9068, 35436, 27568, 16, 3147, 2628, 16, 4128, 4823, 309, 965, 9326, 334, 20926, 5036, 26800, 478, 19386, 451, 6469, 510, 491, 861, 478, 677, 1750, 50100, 11220, 309, 7988, 9068, 27597, 1040, 577, 1134, 322, 6660, 5001, 18, 34297, 18009, 4738, 323, 2793, 1175, 281, 9808, 281, 19526, 687, 568, 4574, 876, 1901, 4076, 14248, 840, 26472, 31437, 18, 4712, 14789, 4573, 18075, 3461, 294, 31875, 28481, 6617, 16, 4686, 453, 6507, 16, 367, 2512, 289, 32289, 37949, 1333, 910, 510, 9848, 478, 46088, 18, 8381, 470, 11350, 17, 6845, 27684, 9539, 24862, 33335, 3594, 7179, 4900, 39876, 6118, 17, 33074, 16095, 999, 3533, 5269, 18, 824, 4734, 39198, 837, 16, 14267, 10263, 17, 23418, 1051, 9808, 282, 4459, 1175, 282, 2521, 373, 8928, 763, 14377, 617, 289, 9423, 329, 4534, 2122, 16860, 2603, 21456, 11346, 2936, 322, 4247, 424, 1807, 537, 43237, 17086, 16707, 18, 478, 677, 4675, 808, 1251, 9609, 289, 9808, 1003, 4302, 45087, 16, 961, 7737, 373, 7869, 294, 18530, 48788, 6684, 5348, 510, 537, 6798, 17, 12920, 408, 16, 537, 43170, 16, 537, 15901, 910, 510, 25482, 6118, 16095, 999, 3533, 5269, 18, 985, 5273, 18290, 10195, 16, 477, 1963, 4534, 322, 13639, 4164, 4302, 22612, 5418, 18118, 16, 961, 4849, 5561, 373, 290, 13148, 6684, 5348, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 12421, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5758, 4761, 2426, 13, 1332, 5675, 2541, 309, 9839, 17, 17569, 5306, 16, 988, 282, 4675, 808, 32131, 5851, 12424, 289, 21240, 541, 15429, 12183, 35436, 18, 9114, 12946, 35436, 5306, 16, 31891, 4486, 30170, 430, 17, 361, 25812, 16, 9311, 282, 2452, 2236, 411, 18911, 12183, 16, 5546, 11581, 541, 18622, 17, 899, 464, 607, 2160, 29574, 18, 365, 5305, 18558, 1177, 4831, 349, 28545, 289, 49804, 1617, 6196, 19336, 4212, 49195, 12609, 9808, 1624, 428, 19988, 16, 4652, 294, 1939, 4691, 1045, 18, 4794, 7461, 16, 1830, 289, 49238, 3793, 334, 8698, 2095, 14560, 2403, 4004, 16, 867, 322, 2619, 16, 3929, 828, 17, 299, 4011, 29342, 16307, 541, 45298, 35436, 16, 961, 3255, 16, 1011, 13863, 13087, 8506, 16, 9462, 40045, 2159, 2904, 309, 39439, 20213, 46914, 282, 1033, 7236, 1378, 360, 1175, 34888, 18, 1367, 803, 5301, 30047, 14012, 18045, 18, 48733, 16101, 289, 1175, 4893, 13029, 17091, 1011, 36987, 282, 14613, 13557, 2801, 779, 16, 334, 8872, 2024, 21128, 15732, 424, 37208, 1066, 2407, 18, 3791, 15332, 5768, 13269, 2044, 9466, 8641, 6447, 11319, 4504, 45585, 1767, 16, 1210, 2545, 2019, 294, 25181, 2818, 23449, 289, 29509, 448, 8535, 281, 39578, 17, 23418, 3317, 9808, 510, 8402, 1406, 289, 20735, 18, 478, 19386, 549, 18840, 5902, 289, 1033, 13605, 47702, 15970, 17, 18876, 434, 10137, 6684, 5348, 282, 4675, 808, 23160, 10287, 758, 1137, 3746, 5743, 12517, 5219, 1378, 16521, 1333, 9808, 910, 510, 1109, 26151, 5455, 2774, 263, 309, 17581, 282, 5675, 6887, 18, 824, 505, 3163, 16, 478, 9165, 6011, 17, 899, 464, 607, 3878, 6007, 46586, 5420, 22121, 435, 519, 4999, 16, 1029, 2002, 322, 3542, 6608, 4419, 861, 824, 7475, 5455, 2774, 263, 16, 282, 3142, 478, 36337, 416, 2793, 470, 12267, 1133, 35436, 42764, 4650, 668, 2301, 46586, 5420, 428, 30914, 3196, 26446, 12455, 1279, 11412, 10950, 291, 2044, 17, 23418, 2543, 43561, 718, 9105, 16, 4132, 11795, 41842, 282, 5451, 539, 4993, 16, 753, 29086, 5129, 39905, 309, 6759, 2662, 697, 44902, 411, 2145, 18, 365, 2874, 4701, 16, 5273, 5455, 2774, 263, 16, 478, 29156, 1846, 1880, 4993, 1623, 13842, 2425, 5325, 21257, 16, 2196, 38978, 2388, 4000, 15970, 766, 1822, 6507, 41724, 16, 428, 36403, 289, 2553, 7988, 2376, 16, 367, 1038, 13813, 17815, 9808, 510, 13474, 12671, 289, 13678, 1066, 510, 281, 34417, 6906, 5538, 861, 1787, 35621, 25181, 1880, 4993, 6048, 1807, 3872, 16089, 4972, 428, 541, 7225, 8647, 27568, 16, 453, 289, 20853, 334, 9808, 18, 28186, 5500, 13374, 16523, 289, 3623, 5306, 282, 13785, 2001, 403, 696, 37398, 504, 8466, 267, 10050, 16, 374, 309, 7988, 9068, 1800, 9600, 687, 15871, 411, 7619, 2044, 16, 32862, 282, 9808, 16, 895, 30165, 13290, 282, 803, 3948, 28397, 36883, 18, 478, 563, 5254, 2444, 7642, 16, 374, 541, 35436, 16, 3057, 16, 2145, 16, 11965, 2198, 14093, 624, 289, 5670, 16, 8214, 17805, 7988, 5902, 322, 6048, 910, 510, 5273, 26351, 267, 18, 824, 20234, 14540, 16, 481, 18210, 48917, 34361, 282, 970, 16, 374, 282, 1750, 22323, 50100, 11220, 309, 25181, 1212, 4993, 11291, 1837, 17241, 18622, 17, 899, 464, 607, 2257, 8266, 9808, 4128, 1717, 5306, 16, 3387, 329, 371, 8262, 1846, 933, 2044, 289, 15500, 281, 4940, 5275, 1330, 473, 347, 289, 2141, 281, 37439, 13, 6798, 17, 5350, 933, 10950, 291, 1008, 448, 3860, 18, 7249, 309, 14267, 4534, 282, 14377, 617, 289, 2122, 16860, 2603, 21456, 18979, 309, 7988, 9068, 16, 1717, 281, 9609, 15871, 37090, 3655, 2303, 15184, 478, 19386, 451, 6469, 510, 491, 861, 37398, 504, 8466, 267, 25225, 289, 978, 6356, 16, 30634, 16, 374, 1513, 15870, 764, 289, 1247, 6997, 18, 1268, 9261, 2044, 16, 334, 505, 4734, 16, 5138, 530, 2702, 14377, 448, 10744, 282, 4599, 978, 10266, 1861, 434, 11407, 18, 365, 1335, 2630, 329, 35436, 5306, 912, 9118, 13187, 2846, 3741, 1040, 7629, 16, 9795, 848, 6728, 541, 9275, 5348, 282, 4190, 2242, 405, 1485, 289, 3358, 1884, 1042, 16, 961, 48844, 541, 3725, 14297, 46586, 5420, 18, 9873, 978, 16, 282, 4301, 4696, 3281, 35436, 5306, 478, 6706, 869, 17, 5350, 1133, 3402, 510, 1939, 3161, 11382, 470, 281, 1939, 6091, 779, 27827, 6622, 8922, 282, 11424, 2452, 46688, 1269, 4550, 10561, 11412, 5115, 860, 47, 55, 48573, 16, 961, 8356, 530, 10251, 298, 2508, 35728, 548, 4528, 478, 983, 616, 2895, 7474, 861, 2949, 924, 16, 27827, 1482, 4562, 12611, 4504, 1524, 315, 17, 1282, 14764, 1333, 11604, 18, 478, 1358, 20018, 16, 374, 4101, 3193, 24596, 35436, 27568, 322, 3929, 30914, 45663, 15774, 323, 910, 510, 4848, 478, 46088, 18, 8381, 470, 11350, 17, 1821, 14969, 24862, 12183, 25318, 17, 5350, 718, 11604, 2407, 26151, 7947, 32261, 6235, 18, 824, 505, 4734, 16, 349, 2184, 40388, 11473, 32741, 477, 1963, 31988, 18, 459, 282, 6688, 48917, 11604, 17583, 46885, 8921, 10723, 18, 385, 2059, 1963, 16, 1381, 17998, 1086, 8641, 7583, 25182, 16, 367, 281, 2107, 1963, 510, 282, 1750, 50100, 11220, 309, 7988, 9068, 35436, 27568, 16, 3147, 2628, 16, 4128, 4823, 309, 965, 9326, 334, 20926, 5036, 26800, 478, 19386, 451, 6469, 510, 491, 861, 478, 677, 1750, 50100, 11220, 309, 7988, 9068, 27597, 1040, 577, 1134, 322, 6660, 5001, 18, 34297, 18009, 4738, 323, 2793, 1175, 281, 9808, 281, 19526, 687, 568, 4574, 876, 1901, 4076, 14248, 840, 26472, 31437, 18, 4712, 14789, 4573, 18075, 3461, 294, 31875, 28481, 6617, 16, 4686, 453, 6507, 16, 367, 2512, 289, 32289, 37949, 1333, 910, 510, 9848, 478, 46088, 18, 8381, 470, 11350, 17, 6845, 27684, 9539, 24862, 33335, 3594, 7179, 4900, 39876, 6118, 17, 33074, 16095, 999, 3533, 5269, 18, 824, 4734, 39198, 837, 16, 14267, 10263, 17, 23418, 1051, 9808, 282, 4459, 1175, 282, 2521, 373, 8928, 763, 14377, 617, 289, 9423, 329, 4534, 2122, 16860, 2603, 21456, 11346, 2936, 322, 4247, 424, 1807, 537, 43237, 17086, 16707, 18, 478, 677, 4675, 808, 1251, 9609, 289, 9808, 1003, 4302, 45087, 16, 961, 7737, 373, 7869, 294, 18530, 48788, 6684, 5348, 510, 537, 6798, 17, 12920, 408, 16, 537, 43170, 16, 537, 15901, 910, 510, 25482, 6118, 16095, 999, 3533, 5269, 18, 985, 5273, 18290, 10195, 16, 477, 1963, 4534, 322, 13639, 4164, 4302, 22612, 5418, 18118, 16, 961, 4849, 5561, 373, 290, 13148, 6684, 5348, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 12421, 17 ]
[ 13522, 1175, 6370, 16640, 334, 8872, 5790, 281, 18813, 5439, 19030, 1614, 21602, 2901, 293, 7014, 2815, 16, 374, 2145, 6696, 478, 1369, 24119, 1507, 470, 4871, 478, 19386, 451, 6469, 510, 491, 861, 385, 2430, 553, 2145, 726, 35974, 15922, 651, 411, 17, 431, 1129, 25850, 29591, 478, 37075, 470, 32917, 16141, 281, 8527, 15273, 21173, 382, 14649, 18, 31224, 30, 677, 5579, 17, 13825, 12935, 4765, 11050, 5439, 4433, 4551, 15803, 16640, 367, 289, 505, 14703, 411, 19030, 18, 365, 4542, 11738, 7638, 17, 2168, 8021, 1949, 2044, 28522, 11433, 485, 289, 10266, 48895, 12890, 18, 478, 1009, 19412, 289, 396, 7955, 282, 19030, 281, 17234, 12070, 16, 334, 37712, 15922, 30863, 6518, 9527, 478, 1916, 363, 1711, 382, 420, 17, 21, 910, 5780, 290, 478, 19386, 547, 44310, 510, 491, 910, 7955, 2024, 2993, 1038, 40090, 282, 5572, 19936, 13111, 779, 910, 510, 2815, 16640, 334, 8872, 11738, 18, 32204, 290, 478, 19386, 547, 44310, 510, 491, 470, 9805, 7638, 2815, 290, 16115, 23990, 25045, 17998, 1086, 25005, 46782, 17111, 411, 10355, 1376, 297, 20892, 2466, 7405, 18, 478, 10269, 323, 478, 28083, 297, 20892, 1941, 470, 1623, 17959, 23990, 42552, 11908, 16, 961, 6696, 8838, 1507, 1177, 4871, 371, 3599, 10651, 5064, 19067, 10120, 16, 17967, 16, 13951, 16, 1413, 2728, 1113, 30127, 3732, 16186, 309, 37038, 5508, 1624, 510, 2815, 9805, 7638, 18, 510, 8859, 1336, 1376, 31588, 18376, 1717, 2887, 10427, 4999, 16, 1548, 374, 1139, 25254, 20664, 16, 3136, 289, 31279, 8507, 16, 1029, 2388, 4075, 11660, 16, 12530, 27808, 319, 1634, 31263, 289, 2264, 2888, 6551, 309, 803, 5814, 861, 967, 803, 16640, 4725, 16, 374, 17959, 19030, 334, 15922, 1320, 2702, 4878, 16621, 18, 817, 1038, 9299, 16, 374, 5211, 451, 3868, 4480, 6011, 7832, 294, 478, 19386, 1147, 1229, 5927, 510, 491, 910, 502, 912, 428, 294, 4211, 17, 1961, 508, 552, 16, 289, 322, 9622, 9153, 2712, 505, 18, 9639, 3149, 294, 25005, 46782, 9805, 7638, 9327, 282, 2433, 38550, 2047, 1624, 1586, 334, 505, 3163, 16, 3164, 424, 23057, 2145, 18, 37681, 25836, 282, 1423, 3678, 11531, 3236, 6688, 16, 5938, 1754, 12890, 478, 19386, 451, 6469, 510, 491, 470, 289, 478, 25117, 3733, 1270, 6469, 470, 4783, 1867, 30225, 21528, 3271, 309, 2303, 12077, 5814, 16, 520, 1712, 867, 3818, 16109, 11548, 541, 24278, 440, 7167, 31263, 282, 803, 25858, 18, 2112, 924, 16, 428, 491, 4160, 4770, 23990, 25045, 14900, 19048, 381, 8928, 763, 13951, 1279, 1175, 16, 26659, 541, 6997, 1967, 2303, 15184, 291, 3525, 36701, 18, 478, 10789, 265, 3696, 2773, 18893, 549, 5397, 2232, 6888, 910, 510, 13985, 3064, 1655, 25780, 13951, 9805, 7638, 18, 365, 478, 7128, 293, 1725, 910, 309, 2114, 8445, 8341, 349, 25388, 5115, 16, 22438, 322, 17132, 9795, 8323, 18, 824, 4734, 9539, 32196, 17, 37382, 15352, 2241, 6816, 6061, 12084, 16, 12435, 2145, 322, 21519, 467, 309, 4871, 18, 824, 505, 3163, 16, 935, 827, 1747, 19286, 26659, 16, 6245, 38421, 38520, 40744, 17815, 16, 478, 36741, 478, 19386, 451, 6469, 510, 491, 470, 840, 26450, 363, 282, 6449, 1750, 861, 2046, 478, 19386, 451, 6469, 510, 491, 470, 726, 23140, 38588, 839, 16141, 510, 411, 17, 431, 11673, 13951, 895, 953, 16685, 10616, 20117, 18942, 5115, 18, 10775, 1133, 29591, 478, 37075, 910, 47351, 1223, 16, 322, 8070, 13848, 24552, 478, 19386, 434, 19459, 17, 22, 470, 411, 17, 431, 11673, 13951, 282, 4599, 1175, 18, 996, 16, 5037, 20548, 680, 2241, 1621, 49, 58, 8860, 1458, 632, 944, 4419, 282, 11130, 27834, 16, 374, 4128, 5978, 2764, 282, 5781, 289, 26931, 933, 34088, 670, 8219, 1855, 10808, 3674, 18, 4320, 360, 20394, 334, 7446, 5115, 867, 322, 2619, 2504, 322, 25349, 18, 640, 5734, 2083, 329, 2241, 1059, 2577, 2109, 17145, 491, 776, 43, 1176, 29186, 651, 9805, 478, 18306, 861, 365, 12335, 978, 779, 639, 43571, 12735, 290, 8527, 8292, 281, 1302, 50, 43, 45, 41, 16, 1621, 49, 58, 16, 18677, 36231, 7262, 5784, 1624, 3330, 2148, 444, 289, 26745, 5588, 76, 1959, 18, 4794, 2852, 6271, 2125, 898, 478, 8844, 262, 2133, 18088, 3589, 24552, 282, 18558, 3610, 9, 360, 7343, 8990, 5115, 16, 1586, 309, 5734, 2083, 30081, 282, 1658, 16, 25, 5096, 7307, 910, 25865, 478, 18306, 861, 365, 5254, 5690, 411, 6271, 14481, 519, 1658, 3324, 3763, 7307, 18, 21513, 16, 6605, 5825, 16, 374, 4789, 873, 289, 583, 478, 18306, 470, 4590, 3461, 1059, 2577, 2109, 17145, 491, 776, 43, 6146, 3536, 309, 5953, 9, 8990, 5115, 424, 1286, 9, 36397, 309, 3017, 519, 3915, 26155, 779, 16, 367, 2512, 870, 2764, 1747, 2264, 7372, 4871, 536, 8527, 15273, 18, 4756, 16, 34450, 12603, 414, 16, 374, 282, 6031, 1698, 20093, 506, 10286, 7446, 5115, 16, 367, 17632, 47618, 31909, 12693, 3748, 309, 33788, 2580, 18, 967, 803, 5842, 4502, 2919, 12520, 360, 8712, 478, 18306, 304, 470, 38365, 19510, 519, 23563, 18942, 411, 23061, 15185, 32687, 33869, 18, 3739, 2059, 15717, 309, 3427, 7446, 5115, 895, 1852, 17959, 27165, 16, 2891, 1754, 15655, 3236, 3018, 15705, 990, 12890, 334, 21173, 582, 34535, 291, 1248, 6159, 1924, 3128, 2553, 18, 478, 19386, 451, 6469, 510, 491, 470, 428, 445, 7832, 294, 20740, 2567, 9206, 18, 450, 766, 1133, 2891, 34715, 16, 374, 282, 1967, 17343, 745, 19790, 802, 12594, 4869, 3623, 289, 32975, 406, 27932, 18, 439, 40836, 9063, 2553, 47322, 3410, 534, 289, 4521, 42883, 2303, 15184, 478, 19386, 451, 6469, 510, 491, 470, 3872, 2886, 536, 16, 2382, 2636, 481, 867, 16, 374, 14924, 8697, 478, 42579, 487, 953, 27603, 282, 3106, 17198, 16126, 12984, 1175, 27402, 30012, 225, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 9937, 16, 3695, 3990, 16, 282, 7353, 28818, 986, 16342, 33329, 14175, 16, 14413, 289, 7459, 4178, 21472, 315, 6470, 3651, 287, 18, 31224, 30, 6039, 361, 2852, 2868, 2158, 16, 2261, 3990, 16, 7459, 312, 1100, 16, 4063, 552, 16, 5480, 3033, 21472, 315, 6470, 3651, 298, 22716, 28818, 779, 18, 439, 1800, 6498, 8862, 290, 505, 3422, 18, 22877, 289, 808, 28047, 1055, 322, 36629, 18, 44510, 4178, 21472, 315, 6470, 3651, 287, 16, 942, 2023, 16, 6463, 1992, 33329, 322, 4642, 13126, 30, 20330, 345, 13850, 282, 20708, 1045, 16, 492, 5931, 281, 981, 353, 15573, 981, 353, 9977, 16, 44022, 1192, 1625 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13522, 1175, 6370, 16640, 334, 8872, 5790, 281, 18813, 5439, 19030, 1614, 21602, 2901, 293, 7014, 2815, 16, 374, 2145, 6696, 478, 1369, 24119, 1507, 470, 4871, 478, 19386, 451, 6469, 510, 491, 861, 385, 2430, 553, 2145, 726, 35974, 15922, 651, 411, 17, 431, 1129, 25850, 29591, 478, 37075, 470, 32917, 16141, 281, 8527, 15273, 21173, 382, 14649, 18, 31224, 30, 677, 5579, 17, 13825, 12935, 4765, 11050, 5439, 4433, 4551, 15803, 16640, 367, 289, 505, 14703, 411, 19030, 18, 365, 4542, 11738, 7638, 17, 2168, 8021, 1949, 2044, 28522, 11433, 485, 289, 10266, 48895, 12890, 18, 478, 1009, 19412, 289, 396, 7955, 282, 19030, 281, 17234, 12070, 16, 334, 37712, 15922, 30863, 6518, 9527, 478, 1916, 363, 1711, 382, 420, 17, 21, 910, 5780, 290, 478, 19386, 547, 44310, 510, 491, 910, 7955, 2024, 2993, 1038, 40090, 282, 5572, 19936, 13111, 779, 910, 510, 2815, 16640, 334, 8872, 11738, 18, 32204, 290, 478, 19386, 547, 44310, 510, 491, 470, 9805, 7638, 2815, 290, 16115, 23990, 25045, 17998, 1086, 25005, 46782, 17111, 411, 10355, 1376, 297, 20892, 2466, 7405, 18, 478, 10269, 323, 478, 28083, 297, 20892, 1941, 470, 1623, 17959, 23990, 42552, 11908, 16, 961, 6696, 8838, 1507, 1177, 4871, 371, 3599, 10651, 5064, 19067, 10120, 16, 17967, 16, 13951, 16, 1413, 2728, 1113, 30127, 3732, 16186, 309, 37038, 5508, 1624, 510, 2815, 9805, 7638, 18, 510, 8859, 1336, 1376, 31588, 18376, 1717, 2887, 10427, 4999, 16, 1548, 374, 1139, 25254, 20664, 16, 3136, 289, 31279, 8507, 16, 1029, 2388, 4075, 11660, 16, 12530, 27808, 319, 1634, 31263, 289, 2264, 2888, 6551, 309, 803, 5814, 861, 967, 803, 16640, 4725, 16, 374, 17959, 19030, 334, 15922, 1320, 2702, 4878, 16621, 18, 817, 1038, 9299, 16, 374, 5211, 451, 3868, 4480, 6011, 7832, 294, 478, 19386, 1147, 1229, 5927, 510, 491, 910, 502, 912, 428, 294, 4211, 17, 1961, 508, 552, 16, 289, 322, 9622, 9153, 2712, 505, 18, 9639, 3149, 294, 25005, 46782, 9805, 7638, 9327, 282, 2433, 38550, 2047, 1624, 1586, 334, 505, 3163, 16, 3164, 424, 23057, 2145, 18, 37681, 25836, 282, 1423, 3678, 11531, 3236, 6688, 16, 5938, 1754, 12890, 478, 19386, 451, 6469, 510, 491, 470, 289, 478, 25117, 3733, 1270, 6469, 470, 4783, 1867, 30225, 21528, 3271, 309, 2303, 12077, 5814, 16, 520, 1712, 867, 3818, 16109, 11548, 541, 24278, 440, 7167, 31263, 282, 803, 25858, 18, 2112, 924, 16, 428, 491, 4160, 4770, 23990, 25045, 14900, 19048, 381, 8928, 763, 13951, 1279, 1175, 16, 26659, 541, 6997, 1967, 2303, 15184, 291, 3525, 36701, 18, 478, 10789, 265, 3696, 2773, 18893, 549, 5397, 2232, 6888, 910, 510, 13985, 3064, 1655, 25780, 13951, 9805, 7638, 18, 365, 478, 7128, 293, 1725, 910, 309, 2114, 8445, 8341, 349, 25388, 5115, 16, 22438, 322, 17132, 9795, 8323, 18, 824, 4734, 9539, 32196, 17, 37382, 15352, 2241, 6816, 6061, 12084, 16, 12435, 2145, 322, 21519, 467, 309, 4871, 18, 824, 505, 3163, 16, 935, 827, 1747, 19286, 26659, 16, 6245, 38421, 38520, 40744, 17815, 16, 478, 36741, 478, 19386, 451, 6469, 510, 491, 470, 840, 26450, 363, 282, 6449, 1750, 861, 2046, 478, 19386, 451, 6469, 510, 491, 470, 726, 23140, 38588, 839, 16141, 510, 411, 17, 431, 11673, 13951, 895, 953, 16685, 10616, 20117, 18942, 5115, 18, 10775, 1133, 29591, 478, 37075, 910, 47351, 1223, 16, 322, 8070, 13848, 24552, 478, 19386, 434, 19459, 17, 22, 470, 411, 17, 431, 11673, 13951, 282, 4599, 1175, 18, 996, 16, 5037, 20548, 680, 2241, 1621, 49, 58, 8860, 1458, 632, 944, 4419, 282, 11130, 27834, 16, 374, 4128, 5978, 2764, 282, 5781, 289, 26931, 933, 34088, 670, 8219, 1855, 10808, 3674, 18, 4320, 360, 20394, 334, 7446, 5115, 867, 322, 2619, 2504, 322, 25349, 18, 640, 5734, 2083, 329, 2241, 1059, 2577, 2109, 17145, 491, 776, 43, 1176, 29186, 651, 9805, 478, 18306, 861, 365, 12335, 978, 779, 639, 43571, 12735, 290, 8527, 8292, 281, 1302, 50, 43, 45, 41, 16, 1621, 49, 58, 16, 18677, 36231, 7262, 5784, 1624, 3330, 2148, 444, 289, 26745, 5588, 76, 1959, 18, 4794, 2852, 6271, 2125, 898, 478, 8844, 262, 2133, 18088, 3589, 24552, 282, 18558, 3610, 9, 360, 7343, 8990, 5115, 16, 1586, 309, 5734, 2083, 30081, 282, 1658, 16, 25, 5096, 7307, 910, 25865, 478, 18306, 861, 365, 5254, 5690, 411, 6271, 14481, 519, 1658, 3324, 3763, 7307, 18, 21513, 16, 6605, 5825, 16, 374, 4789, 873, 289, 583, 478, 18306, 470, 4590, 3461, 1059, 2577, 2109, 17145, 491, 776, 43, 6146, 3536, 309, 5953, 9, 8990, 5115, 424, 1286, 9, 36397, 309, 3017, 519, 3915, 26155, 779, 16, 367, 2512, 870, 2764, 1747, 2264, 7372, 4871, 536, 8527, 15273, 18, 4756, 16, 34450, 12603, 414, 16, 374, 282, 6031, 1698, 20093, 506, 10286, 7446, 5115, 16, 367, 17632, 47618, 31909, 12693, 3748, 309, 33788, 2580, 18, 967, 803, 5842, 4502, 2919, 12520, 360, 8712, 478, 18306, 304, 470, 38365, 19510, 519, 23563, 18942, 411, 23061, 15185, 32687, 33869, 18, 3739, 2059, 15717, 309, 3427, 7446, 5115, 895, 1852, 17959, 27165, 16, 2891, 1754, 15655, 3236, 3018, 15705, 990, 12890, 334, 21173, 582, 34535, 291, 1248, 6159, 1924, 3128, 2553, 18, 478, 19386, 451, 6469, 510, 491, 470, 428, 445, 7832, 294, 20740, 2567, 9206, 18, 450, 766, 1133, 2891, 34715, 16, 374, 282, 1967, 17343, 745, 19790, 802, 12594, 4869, 3623, 289, 32975, 406, 27932, 18, 439, 40836, 9063, 2553, 47322, 3410, 534, 289, 4521, 42883, 2303, 15184, 478, 19386, 451, 6469, 510, 491, 470, 3872, 2886, 536, 16, 2382, 2636, 481, 867, 16, 374, 14924, 8697, 478, 42579, 487, 953, 27603, 282, 3106, 17198, 16126, 12984, 1175, 27402, 30012, 225, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 9937, 16, 3695, 3990, 16, 282, 7353, 28818, 986, 16342, 33329, 14175, 16, 14413, 289, 7459, 4178, 21472, 315, 6470, 3651, 287, 18, 31224, 30, 6039, 361, 2852, 2868, 2158, 16, 2261, 3990, 16, 7459, 312, 1100, 16, 4063, 552, 16, 5480, 3033, 21472, 315, 6470, 3651, 298, 22716, 28818, 779, 18, 439, 1800, 6498, 8862, 290, 505, 3422, 18, 22877, 289, 808, 28047, 1055, 322, 36629, 18, 44510, 4178, 21472, 315, 6470, 3651, 287, 16, 942, 2023, 16, 6463, 1992, 33329, 322, 4642, 13126, 30, 20330, 345, 13850, 282, 20708, 1045, 16, 492, 5931, 281, 981, 353, 15573, 981, 353, 9977, 16, 44022, 1192, 1625 ]
[ 10573, 1624, 33969, 3881, 8270, 307, 16, 13640, 40930, 27798, 28572, 2603, 18, 9418, 281, 5819, 1633, 405, 727, 10573, 307, 13504, 48823, 478, 618, 3852, 3975, 280, 910, 3429, 2848, 22736, 541, 8621, 16, 1881, 2822, 21901, 478, 49287, 861, 13699, 1162, 4889, 333, 1117, 339, 746, 16926, 289, 2393, 23310, 334, 33057, 277, 6470, 3651, 394, 510, 478, 24062, 23427, 5953, 470, 1192, 1625, 10573, 16, 478, 37294, 17585, 1357, 910, 478, 13555, 549, 7112, 465, 470, 289, 478, 3693, 1137, 1082, 470, 28572, 2603, 18, 478, 13002, 23199, 2118, 309, 21933, 4276, 910, 309, 1754, 492, 4424, 334, 20211, 281, 3368, 635, 32594, 29518, 412, 2679, 24386, 16, 28841, 2394, 349, 21113, 309, 9592, 268, 1212, 40935, 9419, 282, 16340, 1045, 18, 478, 1358, 2002, 322, 11408, 7012, 43215, 289, 537, 424, 2616, 322, 424, 899, 17451, 18, 629, 6443, 518, 21418, 16, 961, 37081, 282, 3212, 4822, 16, 12700, 16, 374, 2552, 411, 1129, 27176, 374, 17, 299, 541, 965, 411, 924, 16, 374, 417, 38027, 18, 996, 289, 11730, 910, 510, 9112, 18398, 6470, 3651, 287, 1423, 2768, 281, 36581, 25589, 2661, 18, 1606, 16, 282, 1423, 3678, 16, 4442, 2853, 10471, 6470, 3651, 394, 19132, 20295, 1880, 3003, 289, 34513, 309, 5066, 478, 12040, 950, 910, 322, 17409, 2728, 1728, 28891, 5930, 28090, 18, 15666, 16, 445, 334, 3290, 275, 281, 25589, 2661, 16, 492, 19575, 697, 34781, 2610, 309, 17634, 3142, 510, 453, 16, 3057, 16, 1011, 9592, 23380, 9792, 492, 5931, 281, 29518, 412, 2679, 24386, 309, 1209, 505, 5048, 2165, 12208, 519, 478, 31779, 346, 5420, 910, 309, 10276, 1165, 1754, 20295, 15133, 3728, 3994, 18, 385, 505, 44263, 6470, 3651, 287, 12769, 12651, 26129, 13899, 3807, 552, 331, 13065, 2514, 21985, 24598, 510, 2900, 16, 1029, 2961, 7791, 10579, 7459, 8126, 1833, 309, 1293, 45061, 16, 360, 478, 1083, 1347, 35600, 2425, 560, 470, 519, 12138, 34781, 1347, 27470, 18, 439, 282, 1078, 22427, 360, 7459, 8126, 322, 21486, 34273, 23506, 16, 367, 8214, 16, 2447, 1062, 39868, 40459, 289, 9269, 920, 24442, 18, 25797, 277, 6470, 3651, 287, 16, 13649, 16, 25500, 18, 824, 505, 4147, 263, 36497, 16365, 4137, 640, 28317, 1624, 281, 1498, 5931, 24670, 35427, 755, 4944, 768, 269, 313, 4083, 778, 510, 1974, 745, 10063, 6793, 309, 5137, 43560, 727, 10573, 307, 18, 1787, 20477, 312, 756, 2822, 411, 3875, 12097, 14879, 12012, 492, 6463, 21113, 478, 3743, 23987, 2893, 861, 9993, 492, 685, 289, 519, 8508, 1612, 12769, 5406, 17, 1024, 2922, 16, 2196, 650, 5583, 30561, 289, 7813, 2127, 5319, 18, 365, 8151, 5953, 17, 292, 505, 10092, 2756, 34723, 262, 14878, 629, 296, 435, 1645, 324, 18, 478, 5798, 492, 49708, 586, 3399, 16, 502, 49708, 1974, 281, 17210, 323, 510, 6551, 910, 510, 2323, 40074, 24714, 6470, 3651, 394, 4063, 464, 8561, 4377, 332, 35954, 554, 4086, 18, 2320, 10598, 289, 48707, 2669, 19910, 22736, 541, 9786, 1476, 5781, 47083, 510, 942, 7818, 478, 28594, 910, 2921, 4651, 1614, 16362, 7635, 406, 2509, 282, 23655, 298, 309, 34152, 582, 18, 640, 1844, 2499, 21806, 668, 9318, 478, 35959, 14748, 470, 20420, 779, 1423, 16154, 4063, 5855, 26771, 447, 6470, 3651, 394, 478, 28594, 16, 670, 38748, 7978, 883, 7010, 6520, 470, 25562, 23186, 1736, 778, 13341, 478, 1009, 323, 861, 365, 6982, 1045, 282, 3507, 7801, 20450, 505, 31374, 17234, 17297, 510, 9440, 4276, 17299, 18066, 13906, 14807, 1624, 28636, 16336, 1614, 5167, 8001, 12344, 392, 289, 768, 269, 313, 4083, 2818, 16, 5480, 4151, 33742, 5002, 292, 888, 289, 3883, 7309, 272, 20334, 347, 3536, 272, 18, 3529, 492, 15885, 8338, 4747, 24532, 728, 4929, 16, 424, 7848, 478, 23134, 278, 31480, 4130, 1354, 910, 2319, 6470, 3651, 287, 21190, 289, 10598, 16, 961, 2780, 7695, 764, 282, 33288, 39872, 423, 16, 289, 4147, 272, 16, 4987, 516, 309, 10598, 16, 289, 26771, 447, 477, 856, 1082, 18, 439, 1038, 19550, 17, 26799, 1838, 288, 918, 4011, 478, 345, 5461, 4362, 42414, 23406, 910, 961, 7134, 282, 8372, 322, 1139, 453, 18, 21472, 315, 6470, 3651, 287, 3942, 282, 25501, 19000, 32030, 28111, 10611, 324, 5442, 326, 16, 34946, 11181, 360, 472, 982, 307, 16, 988, 17455, 12117, 3059, 478, 40000, 5217, 2101, 278, 508, 382, 470, 473, 431, 6335, 17359, 282, 2463, 26295, 46923, 1187, 10981, 934, 45190, 14936, 3301, 3494, 28982, 289, 2207, 7791, 5277, 6582, 8243, 5303, 22233, 6390, 21777, 1082, 281, 37146, 758, 773, 41722, 1489, 353, 16, 594, 8309, 15505, 20867, 28544, 18, 439, 764, 492, 6443, 7792, 11043, 344, 10611, 324, 5442, 326, 289, 5037, 277, 19200, 432, 1332, 523, 281, 29075, 478, 960, 48574, 294, 1609, 395, 16, 961, 28433, 11893, 758, 470, 670, 281, 1629, 979, 16, 374, 5272, 634, 599, 938, 6470, 3651, 298, 478, 267, 10065, 18595, 23812, 16, 1176, 349, 4310, 910, 510, 289, 870, 35338, 1038, 21190, 282, 1423, 6931, 16, 3387, 5546, 14056, 745, 322, 4443, 11043, 2381, 16, 3176, 478, 275, 1515, 18379, 861, 2, 1, 87, 1456, 81, 2448, 30, 682, 766, 38304, 46430, 1162, 14868, 36909, 9434, 6793, 14943, 14068, 831, 478, 780, 3653, 526, 347, 910, 30015, 40126, 316, 962, 17713, 403, 466, 7779, 680, 289, 11719, 5152, 18, 450, 1042, 2499, 4944, 45806, 512, 289, 3569, 38686, 2394, 2625, 19188, 519, 8421, 9756, 16, 26834, 1754, 15516, 687, 282, 11500, 7847, 17, 361, 18, 31224, 30, 39331, 3363, 2959, 1175, 14204, 266, 6793, 14943, 14068, 831, 478, 780, 3653, 526, 347, 470, 334, 37310, 43417, 46430, 680, 18, 14787, 648, 14127, 309, 3499, 6700, 16795, 6948, 287, 20888, 18778, 382, 1011, 12522, 294, 4407, 552, 16934, 12971, 19053, 478, 3127, 441, 778, 13131, 470, 289, 478, 22995, 574, 778, 45676, 2407, 910, 961, 12002, 16, 374, 12030, 8888, 3576, 32685, 5556, 18, 46430, 1162, 282, 10936, 8818, 26851, 5809, 29031, 6325, 289, 2323, 16, 374, 27081, 16, 374, 20295, 371, 2987, 6345, 294, 4734, 2954, 18, 20390, 454, 16, 334, 3163, 46430, 680, 16, 24030, 29048, 5848, 282, 5118, 477, 1852, 2608, 41625, 6166, 672, 25551, 20594, 8862, 290, 47246, 9979, 289, 2418, 26, 6166, 12105, 296, 13377, 14132, 1101, 10910, 434, 14267, 9979, 25295, 315, 17, 41531, 1508, 2009, 19986, 18, 889, 322, 7015, 14255, 2954, 334, 5083, 8621, 478, 780, 3653, 526, 347, 861, 365, 13186, 4145, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10573, 1624, 33969, 3881, 8270, 307, 16, 13640, 40930, 27798, 28572, 2603, 18, 9418, 281, 5819, 1633, 405, 727, 10573, 307, 13504, 48823, 478, 618, 3852, 3975, 280, 910, 3429, 2848, 22736, 541, 8621, 16, 1881, 2822, 21901, 478, 49287, 861, 13699, 1162, 4889, 333, 1117, 339, 746, 16926, 289, 2393, 23310, 334, 33057, 277, 6470, 3651, 394, 510, 478, 24062, 23427, 5953, 470, 1192, 1625, 10573, 16, 478, 37294, 17585, 1357, 910, 478, 13555, 549, 7112, 465, 470, 289, 478, 3693, 1137, 1082, 470, 28572, 2603, 18, 478, 13002, 23199, 2118, 309, 21933, 4276, 910, 309, 1754, 492, 4424, 334, 20211, 281, 3368, 635, 32594, 29518, 412, 2679, 24386, 16, 28841, 2394, 349, 21113, 309, 9592, 268, 1212, 40935, 9419, 282, 16340, 1045, 18, 478, 1358, 2002, 322, 11408, 7012, 43215, 289, 537, 424, 2616, 322, 424, 899, 17451, 18, 629, 6443, 518, 21418, 16, 961, 37081, 282, 3212, 4822, 16, 12700, 16, 374, 2552, 411, 1129, 27176, 374, 17, 299, 541, 965, 411, 924, 16, 374, 417, 38027, 18, 996, 289, 11730, 910, 510, 9112, 18398, 6470, 3651, 287, 1423, 2768, 281, 36581, 25589, 2661, 18, 1606, 16, 282, 1423, 3678, 16, 4442, 2853, 10471, 6470, 3651, 394, 19132, 20295, 1880, 3003, 289, 34513, 309, 5066, 478, 12040, 950, 910, 322, 17409, 2728, 1728, 28891, 5930, 28090, 18, 15666, 16, 445, 334, 3290, 275, 281, 25589, 2661, 16, 492, 19575, 697, 34781, 2610, 309, 17634, 3142, 510, 453, 16, 3057, 16, 1011, 9592, 23380, 9792, 492, 5931, 281, 29518, 412, 2679, 24386, 309, 1209, 505, 5048, 2165, 12208, 519, 478, 31779, 346, 5420, 910, 309, 10276, 1165, 1754, 20295, 15133, 3728, 3994, 18, 385, 505, 44263, 6470, 3651, 287, 12769, 12651, 26129, 13899, 3807, 552, 331, 13065, 2514, 21985, 24598, 510, 2900, 16, 1029, 2961, 7791, 10579, 7459, 8126, 1833, 309, 1293, 45061, 16, 360, 478, 1083, 1347, 35600, 2425, 560, 470, 519, 12138, 34781, 1347, 27470, 18, 439, 282, 1078, 22427, 360, 7459, 8126, 322, 21486, 34273, 23506, 16, 367, 8214, 16, 2447, 1062, 39868, 40459, 289, 9269, 920, 24442, 18, 25797, 277, 6470, 3651, 287, 16, 13649, 16, 25500, 18, 824, 505, 4147, 263, 36497, 16365, 4137, 640, 28317, 1624, 281, 1498, 5931, 24670, 35427, 755, 4944, 768, 269, 313, 4083, 778, 510, 1974, 745, 10063, 6793, 309, 5137, 43560, 727, 10573, 307, 18, 1787, 20477, 312, 756, 2822, 411, 3875, 12097, 14879, 12012, 492, 6463, 21113, 478, 3743, 23987, 2893, 861, 9993, 492, 685, 289, 519, 8508, 1612, 12769, 5406, 17, 1024, 2922, 16, 2196, 650, 5583, 30561, 289, 7813, 2127, 5319, 18, 365, 8151, 5953, 17, 292, 505, 10092, 2756, 34723, 262, 14878, 629, 296, 435, 1645, 324, 18, 478, 5798, 492, 49708, 586, 3399, 16, 502, 49708, 1974, 281, 17210, 323, 510, 6551, 910, 510, 2323, 40074, 24714, 6470, 3651, 394, 4063, 464, 8561, 4377, 332, 35954, 554, 4086, 18, 2320, 10598, 289, 48707, 2669, 19910, 22736, 541, 9786, 1476, 5781, 47083, 510, 942, 7818, 478, 28594, 910, 2921, 4651, 1614, 16362, 7635, 406, 2509, 282, 23655, 298, 309, 34152, 582, 18, 640, 1844, 2499, 21806, 668, 9318, 478, 35959, 14748, 470, 20420, 779, 1423, 16154, 4063, 5855, 26771, 447, 6470, 3651, 394, 478, 28594, 16, 670, 38748, 7978, 883, 7010, 6520, 470, 25562, 23186, 1736, 778, 13341, 478, 1009, 323, 861, 365, 6982, 1045, 282, 3507, 7801, 20450, 505, 31374, 17234, 17297, 510, 9440, 4276, 17299, 18066, 13906, 14807, 1624, 28636, 16336, 1614, 5167, 8001, 12344, 392, 289, 768, 269, 313, 4083, 2818, 16, 5480, 4151, 33742, 5002, 292, 888, 289, 3883, 7309, 272, 20334, 347, 3536, 272, 18, 3529, 492, 15885, 8338, 4747, 24532, 728, 4929, 16, 424, 7848, 478, 23134, 278, 31480, 4130, 1354, 910, 2319, 6470, 3651, 287, 21190, 289, 10598, 16, 961, 2780, 7695, 764, 282, 33288, 39872, 423, 16, 289, 4147, 272, 16, 4987, 516, 309, 10598, 16, 289, 26771, 447, 477, 856, 1082, 18, 439, 1038, 19550, 17, 26799, 1838, 288, 918, 4011, 478, 345, 5461, 4362, 42414, 23406, 910, 961, 7134, 282, 8372, 322, 1139, 453, 18, 21472, 315, 6470, 3651, 287, 3942, 282, 25501, 19000, 32030, 28111, 10611, 324, 5442, 326, 16, 34946, 11181, 360, 472, 982, 307, 16, 988, 17455, 12117, 3059, 478, 40000, 5217, 2101, 278, 508, 382, 470, 473, 431, 6335, 17359, 282, 2463, 26295, 46923, 1187, 10981, 934, 45190, 14936, 3301, 3494, 28982, 289, 2207, 7791, 5277, 6582, 8243, 5303, 22233, 6390, 21777, 1082, 281, 37146, 758, 773, 41722, 1489, 353, 16, 594, 8309, 15505, 20867, 28544, 18, 439, 764, 492, 6443, 7792, 11043, 344, 10611, 324, 5442, 326, 289, 5037, 277, 19200, 432, 1332, 523, 281, 29075, 478, 960, 48574, 294, 1609, 395, 16, 961, 28433, 11893, 758, 470, 670, 281, 1629, 979, 16, 374, 5272, 634, 599, 938, 6470, 3651, 298, 478, 267, 10065, 18595, 23812, 16, 1176, 349, 4310, 910, 510, 289, 870, 35338, 1038, 21190, 282, 1423, 6931, 16, 3387, 5546, 14056, 745, 322, 4443, 11043, 2381, 16, 3176, 478, 275, 1515, 18379, 861, 2, 1, 87, 1456, 81, 2448, 30, 682, 766, 38304, 46430, 1162, 14868, 36909, 9434, 6793, 14943, 14068, 831, 478, 780, 3653, 526, 347, 910, 30015, 40126, 316, 962, 17713, 403, 466, 7779, 680, 289, 11719, 5152, 18, 450, 1042, 2499, 4944, 45806, 512, 289, 3569, 38686, 2394, 2625, 19188, 519, 8421, 9756, 16, 26834, 1754, 15516, 687, 282, 11500, 7847, 17, 361, 18, 31224, 30, 39331, 3363, 2959, 1175, 14204, 266, 6793, 14943, 14068, 831, 478, 780, 3653, 526, 347, 470, 334, 37310, 43417, 46430, 680, 18, 14787, 648, 14127, 309, 3499, 6700, 16795, 6948, 287, 20888, 18778, 382, 1011, 12522, 294, 4407, 552, 16934, 12971, 19053, 478, 3127, 441, 778, 13131, 470, 289, 478, 22995, 574, 778, 45676, 2407, 910, 961, 12002, 16, 374, 12030, 8888, 3576, 32685, 5556, 18, 46430, 1162, 282, 10936, 8818, 26851, 5809, 29031, 6325, 289, 2323, 16, 374, 27081, 16, 374, 20295, 371, 2987, 6345, 294, 4734, 2954, 18, 20390, 454, 16, 334, 3163, 46430, 680, 16, 24030, 29048, 5848, 282, 5118, 477, 1852, 2608, 41625, 6166, 672, 25551, 20594, 8862, 290, 47246, 9979, 289, 2418, 26, 6166, 12105, 296, 13377, 14132, 1101, 10910, 434, 14267, 9979, 25295, 315, 17, 41531, 1508, 2009, 19986, 18, 889, 322, 7015, 14255, 2954, 334, 5083, 8621, 478, 780, 3653, 526, 347, 861, 365, 13186, 4145, 779 ]
[ 906, 15622, 48450, 783, 309, 3614, 2487, 9673, 18, 11783, 1624, 16188, 1754, 45950, 26581, 11132, 16, 3387, 16, 334, 697, 4734, 16, 478, 267, 33783, 8621, 1623, 3435, 4946, 4939, 957, 861, 478, 677, 3182, 1003, 19914, 3954, 9396, 7269, 42444, 281, 316, 962, 312, 2535, 16, 510, 10128, 282, 48450, 553, 18, 510, 3771, 19452, 282, 12884, 428, 8768, 25219, 321, 16, 17948, 624, 289, 4902, 795, 16, 374, 1038, 1623, 4939, 957, 18, 365, 11132, 26734, 12246, 448, 15447, 11719, 5152, 281, 1789, 16198, 7784, 16, 583, 27229, 16292, 49580, 43722, 5966, 48926, 2409, 289, 587, 5218, 7774, 339, 861, 17271, 5576, 2158, 48450, 783, 35333, 1533, 4500, 18, 40409, 473, 39384, 5173, 1623, 1760, 4500, 9761, 367, 282, 2343, 3802, 34144, 17, 1859, 21969, 411, 478, 3127, 441, 718, 36660, 470, 15607, 5848, 12592, 305, 16, 4660, 3359, 309, 22839, 1135, 16, 515, 46739, 2959, 1312, 5607, 2001, 4534, 3038, 455, 773, 282, 803, 18, 5637, 30654, 6793, 478, 780, 3653, 526, 347, 470, 510, 481, 39556, 16814, 412, 931, 31343, 316, 962, 17713, 5781, 19075, 933, 47083, 1789, 16198, 700, 403, 466, 7779, 680, 18, 365, 1281, 986, 16, 282, 30182, 1045, 16, 678, 906, 33004, 282, 8487, 864, 4084, 10706, 10137, 16, 15023, 455, 3333, 2599, 11359, 5703, 16, 329, 1710, 898, 25085, 16, 515, 282, 3182, 678, 8824, 322, 687, 9332, 353, 309, 13297, 16, 515, 289, 2031, 758, 23908, 353, 281, 19157, 5169, 9810, 1385, 18, 403, 466, 7779, 1162, 6312, 1154, 1715, 693, 986, 473, 267, 17277, 779, 678, 11890, 282, 35337, 289, 43200, 282, 18156, 17, 277, 934, 18087, 11307, 290, 1360, 1354, 18, 365, 722, 28577, 34046, 23362, 16, 3057, 16, 374, 282, 3998, 30182, 17, 292, 678, 906, 8690, 39604, 281, 592, 12275, 298, 28098, 46900, 2215, 6324, 1313, 473, 26296, 452, 492, 1559, 37936, 46900, 5152, 5102, 697, 3361, 3227, 17091, 1011, 11688, 11283, 11719, 282, 38700, 1045, 18, 13925, 678, 906, 3274, 5793, 1949, 20486, 30476, 510, 11088, 45361, 289, 12097, 24826, 4254, 16, 282, 34532, 1045, 26133, 5794, 9001, 16, 5076, 1248, 1533, 986, 24939, 45293, 11296, 898, 5892, 6225, 971, 3774, 16778, 662, 289, 16281, 4324, 10502, 18, 5890, 1011, 9377, 5794, 403, 466, 7779, 680, 33713, 364, 9301, 4944, 21896, 1624, 1029, 4263, 975, 2159, 360, 2030, 16, 367, 282, 13188, 17, 292, 4137, 3619, 289, 20799, 29887, 18, 2949, 924, 16, 1717, 282, 30794, 582, 403, 466, 7779, 680, 282, 13324, 1011, 34820, 1940, 680, 9377, 36784, 13490, 12627, 16601, 672, 12, 296, 934, 40639, 8667, 478, 28863, 470, 1624, 367, 32715, 1779, 411, 35337, 6438, 2669, 19388, 1336, 289, 15097, 281, 40528, 6359, 18, 504, 962, 3854, 11638, 9078, 1595, 40648, 1248, 1551, 16, 515, 282, 4398, 423, 3505, 4669, 10832, 15306, 6755, 2048, 978, 322, 3225, 18, 3397, 1336, 22756, 32066, 10035, 3182, 1175, 18, 9398, 13061, 411, 17086, 31094, 403, 466, 7779, 680, 898, 27603, 282, 12884, 14943, 14068, 831, 16, 10480, 18, 22158, 269, 411, 8621, 478, 780, 3653, 526, 347, 470, 385, 10045, 382, 478, 780, 3653, 526, 700, 470, 13487, 764, 282, 2801, 1045, 16, 15143, 281, 6097, 20057, 304, 510, 3057, 16, 541, 15447, 36685, 553, 8508, 7975, 13147, 282, 13324, 898, 14923, 1007, 11061, 553, 19829, 18190, 20206, 21569, 16, 282, 12884, 2125, 953, 46589, 21694, 30352, 16, 768, 6074, 268, 1880, 4577, 16, 15447, 4084, 10706, 289, 24168, 47083, 289, 3638, 1133, 4009, 873, 18, 365, 2604, 1045, 23092, 4889, 41999, 457, 11920, 478, 730, 368, 470, 14943, 14068, 831, 28999, 8156, 541, 478, 780, 3653, 526, 700, 18130, 567, 808, 6198, 639, 1576, 3890, 16, 374, 7143, 9756, 14481, 2364, 17427, 3763, 2791, 18, 365, 12884, 20388, 40752, 39791, 778, 473, 356, 9988, 18527, 28873, 14954, 934, 1540, 1484, 1184, 486, 981, 15928, 324, 1287, 473, 406, 2314, 47125, 8909, 15090, 324, 934, 4210, 5409, 39414, 473, 406, 2314, 755, 3720, 8780, 814, 42881, 5703, 9032, 887, 3436, 17, 17827, 38913, 12468, 409, 37911, 1153, 6131, 301, 13496, 473, 684, 466, 7779, 1162, 13, 289, 3907, 3787, 9778, 272, 18309, 1508, 7070, 16090, 4276, 473, 44921, 5152, 13, 411, 8005, 1452, 718, 10137, 478, 49239, 643, 306, 404, 861, 28186, 978, 10137, 20556, 20295, 16404, 415, 1318, 8812, 320, 41996, 282, 12884, 4119, 12074, 5169, 9810, 1385, 18, 20670, 9756, 1293, 445, 43740, 17735, 31, 1314, 722, 23383, 6517, 6521, 309, 2555, 3990, 7847, 779, 18, 365, 12335, 978, 779, 685, 35738, 2615, 289, 1055, 8970, 21421, 3327, 16, 334, 5076, 16, 9956, 334, 4547, 16, 289, 14872, 6106, 290, 12884, 475, 16, 1085, 4586, 1100, 305, 1279, 478, 780, 3653, 526, 700, 861, 6096, 33708, 6096, 33708, 4848, 8818, 16, 374, 481, 726, 322, 2615, 10159, 282, 36909, 282, 4599, 8621, 16, 289, 7732, 18205, 15075, 16, 374, 282, 478, 780, 3653, 526, 476, 470, 475, 3164, 282, 4301, 5738, 18, 49341, 5692, 16, 374, 290, 28563, 3217, 10438, 16, 6709, 16, 2504, 322, 3365, 18, 450, 3363, 19219, 27781, 16, 1586, 322, 2397, 294, 30613, 5522, 3361, 16, 8566, 18071, 6632, 303, 3056, 2615, 46984, 2684, 1887, 7920, 16934, 334, 17702, 20295, 4137, 504, 1701, 405, 18, 817, 5692, 16, 374, 9099, 28349, 282, 40745, 334, 17702, 322, 18222, 18, 999, 478, 780, 3653, 526, 554, 470, 6750, 811, 289, 302, 1042, 2499, 4944, 45806, 512, 18, 365, 10936, 478, 46088, 18, 8381, 470, 492, 13744, 396, 25303, 454, 478, 45055, 1876, 19319, 1692, 7539, 2768, 322, 16835, 861, 478, 1182, 696, 429, 764, 1003, 16, 23383, 687, 282, 11500, 16, 367, 37658, 5556, 726, 8888, 2626, 910, 510, 1109, 45806, 512, 18, 817, 5692, 16, 374, 17510, 309, 26353, 8203, 924, 16, 309, 374, 6506, 20183, 16, 1623, 25404, 4699, 289, 374, 40594, 6348, 1190, 6730, 16, 1586, 895, 2826, 8888, 649, 5556, 834, 5084, 1631, 16, 2686, 25809, 1717, 15818, 309, 9099, 4096, 18, 478, 29160, 282, 13062, 309, 8206, 3212, 8888, 27066, 16, 510, 9848, 302, 1042, 2499, 18, 510, 36427, 520, 417, 10790, 1833, 282, 1551, 670, 16, 895, 953, 16, 282, 8102, 4574, 668, 5052, 289, 714, 823, 506, 35, 967, 1033, 12896, 5066, 19472, 1354, 942, 714, 823, 506, 764, 289, 349, 1110, 16, 1085, 44407, 5442, 870, 4289, 5556, 18, 7100, 16, 371, 9423, 6783, 1465, 17, 264, 13715, 40437, 17805 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 906, 15622, 48450, 783, 309, 3614, 2487, 9673, 18, 11783, 1624, 16188, 1754, 45950, 26581, 11132, 16, 3387, 16, 334, 697, 4734, 16, 478, 267, 33783, 8621, 1623, 3435, 4946, 4939, 957, 861, 478, 677, 3182, 1003, 19914, 3954, 9396, 7269, 42444, 281, 316, 962, 312, 2535, 16, 510, 10128, 282, 48450, 553, 18, 510, 3771, 19452, 282, 12884, 428, 8768, 25219, 321, 16, 17948, 624, 289, 4902, 795, 16, 374, 1038, 1623, 4939, 957, 18, 365, 11132, 26734, 12246, 448, 15447, 11719, 5152, 281, 1789, 16198, 7784, 16, 583, 27229, 16292, 49580, 43722, 5966, 48926, 2409, 289, 587, 5218, 7774, 339, 861, 17271, 5576, 2158, 48450, 783, 35333, 1533, 4500, 18, 40409, 473, 39384, 5173, 1623, 1760, 4500, 9761, 367, 282, 2343, 3802, 34144, 17, 1859, 21969, 411, 478, 3127, 441, 718, 36660, 470, 15607, 5848, 12592, 305, 16, 4660, 3359, 309, 22839, 1135, 16, 515, 46739, 2959, 1312, 5607, 2001, 4534, 3038, 455, 773, 282, 803, 18, 5637, 30654, 6793, 478, 780, 3653, 526, 347, 470, 510, 481, 39556, 16814, 412, 931, 31343, 316, 962, 17713, 5781, 19075, 933, 47083, 1789, 16198, 700, 403, 466, 7779, 680, 18, 365, 1281, 986, 16, 282, 30182, 1045, 16, 678, 906, 33004, 282, 8487, 864, 4084, 10706, 10137, 16, 15023, 455, 3333, 2599, 11359, 5703, 16, 329, 1710, 898, 25085, 16, 515, 282, 3182, 678, 8824, 322, 687, 9332, 353, 309, 13297, 16, 515, 289, 2031, 758, 23908, 353, 281, 19157, 5169, 9810, 1385, 18, 403, 466, 7779, 1162, 6312, 1154, 1715, 693, 986, 473, 267, 17277, 779, 678, 11890, 282, 35337, 289, 43200, 282, 18156, 17, 277, 934, 18087, 11307, 290, 1360, 1354, 18, 365, 722, 28577, 34046, 23362, 16, 3057, 16, 374, 282, 3998, 30182, 17, 292, 678, 906, 8690, 39604, 281, 592, 12275, 298, 28098, 46900, 2215, 6324, 1313, 473, 26296, 452, 492, 1559, 37936, 46900, 5152, 5102, 697, 3361, 3227, 17091, 1011, 11688, 11283, 11719, 282, 38700, 1045, 18, 13925, 678, 906, 3274, 5793, 1949, 20486, 30476, 510, 11088, 45361, 289, 12097, 24826, 4254, 16, 282, 34532, 1045, 26133, 5794, 9001, 16, 5076, 1248, 1533, 986, 24939, 45293, 11296, 898, 5892, 6225, 971, 3774, 16778, 662, 289, 16281, 4324, 10502, 18, 5890, 1011, 9377, 5794, 403, 466, 7779, 680, 33713, 364, 9301, 4944, 21896, 1624, 1029, 4263, 975, 2159, 360, 2030, 16, 367, 282, 13188, 17, 292, 4137, 3619, 289, 20799, 29887, 18, 2949, 924, 16, 1717, 282, 30794, 582, 403, 466, 7779, 680, 282, 13324, 1011, 34820, 1940, 680, 9377, 36784, 13490, 12627, 16601, 672, 12, 296, 934, 40639, 8667, 478, 28863, 470, 1624, 367, 32715, 1779, 411, 35337, 6438, 2669, 19388, 1336, 289, 15097, 281, 40528, 6359, 18, 504, 962, 3854, 11638, 9078, 1595, 40648, 1248, 1551, 16, 515, 282, 4398, 423, 3505, 4669, 10832, 15306, 6755, 2048, 978, 322, 3225, 18, 3397, 1336, 22756, 32066, 10035, 3182, 1175, 18, 9398, 13061, 411, 17086, 31094, 403, 466, 7779, 680, 898, 27603, 282, 12884, 14943, 14068, 831, 16, 10480, 18, 22158, 269, 411, 8621, 478, 780, 3653, 526, 347, 470, 385, 10045, 382, 478, 780, 3653, 526, 700, 470, 13487, 764, 282, 2801, 1045, 16, 15143, 281, 6097, 20057, 304, 510, 3057, 16, 541, 15447, 36685, 553, 8508, 7975, 13147, 282, 13324, 898, 14923, 1007, 11061, 553, 19829, 18190, 20206, 21569, 16, 282, 12884, 2125, 953, 46589, 21694, 30352, 16, 768, 6074, 268, 1880, 4577, 16, 15447, 4084, 10706, 289, 24168, 47083, 289, 3638, 1133, 4009, 873, 18, 365, 2604, 1045, 23092, 4889, 41999, 457, 11920, 478, 730, 368, 470, 14943, 14068, 831, 28999, 8156, 541, 478, 780, 3653, 526, 700, 18130, 567, 808, 6198, 639, 1576, 3890, 16, 374, 7143, 9756, 14481, 2364, 17427, 3763, 2791, 18, 365, 12884, 20388, 40752, 39791, 778, 473, 356, 9988, 18527, 28873, 14954, 934, 1540, 1484, 1184, 486, 981, 15928, 324, 1287, 473, 406, 2314, 47125, 8909, 15090, 324, 934, 4210, 5409, 39414, 473, 406, 2314, 755, 3720, 8780, 814, 42881, 5703, 9032, 887, 3436, 17, 17827, 38913, 12468, 409, 37911, 1153, 6131, 301, 13496, 473, 684, 466, 7779, 1162, 13, 289, 3907, 3787, 9778, 272, 18309, 1508, 7070, 16090, 4276, 473, 44921, 5152, 13, 411, 8005, 1452, 718, 10137, 478, 49239, 643, 306, 404, 861, 28186, 978, 10137, 20556, 20295, 16404, 415, 1318, 8812, 320, 41996, 282, 12884, 4119, 12074, 5169, 9810, 1385, 18, 20670, 9756, 1293, 445, 43740, 17735, 31, 1314, 722, 23383, 6517, 6521, 309, 2555, 3990, 7847, 779, 18, 365, 12335, 978, 779, 685, 35738, 2615, 289, 1055, 8970, 21421, 3327, 16, 334, 5076, 16, 9956, 334, 4547, 16, 289, 14872, 6106, 290, 12884, 475, 16, 1085, 4586, 1100, 305, 1279, 478, 780, 3653, 526, 700, 861, 6096, 33708, 6096, 33708, 4848, 8818, 16, 374, 481, 726, 322, 2615, 10159, 282, 36909, 282, 4599, 8621, 16, 289, 7732, 18205, 15075, 16, 374, 282, 478, 780, 3653, 526, 476, 470, 475, 3164, 282, 4301, 5738, 18, 49341, 5692, 16, 374, 290, 28563, 3217, 10438, 16, 6709, 16, 2504, 322, 3365, 18, 450, 3363, 19219, 27781, 16, 1586, 322, 2397, 294, 30613, 5522, 3361, 16, 8566, 18071, 6632, 303, 3056, 2615, 46984, 2684, 1887, 7920, 16934, 334, 17702, 20295, 4137, 504, 1701, 405, 18, 817, 5692, 16, 374, 9099, 28349, 282, 40745, 334, 17702, 322, 18222, 18, 999, 478, 780, 3653, 526, 554, 470, 6750, 811, 289, 302, 1042, 2499, 4944, 45806, 512, 18, 365, 10936, 478, 46088, 18, 8381, 470, 492, 13744, 396, 25303, 454, 478, 45055, 1876, 19319, 1692, 7539, 2768, 322, 16835, 861, 478, 1182, 696, 429, 764, 1003, 16, 23383, 687, 282, 11500, 16, 367, 37658, 5556, 726, 8888, 2626, 910, 510, 1109, 45806, 512, 18, 817, 5692, 16, 374, 17510, 309, 26353, 8203, 924, 16, 309, 374, 6506, 20183, 16, 1623, 25404, 4699, 289, 374, 40594, 6348, 1190, 6730, 16, 1586, 895, 2826, 8888, 649, 5556, 834, 5084, 1631, 16, 2686, 25809, 1717, 15818, 309, 9099, 4096, 18, 478, 29160, 282, 13062, 309, 8206, 3212, 8888, 27066, 16, 510, 9848, 302, 1042, 2499, 18, 510, 36427, 520, 417, 10790, 1833, 282, 1551, 670, 16, 895, 953, 16, 282, 8102, 4574, 668, 5052, 289, 714, 823, 506, 35, 967, 1033, 12896, 5066, 19472, 1354, 942, 714, 823, 506, 764, 289, 349, 1110, 16, 1085, 44407, 5442, 870, 4289, 5556, 18, 7100, 16, 371, 9423, 6783, 1465, 17, 264, 13715, 40437, 17805 ]
[ 942, 8695, 16, 428, 3836, 2089, 6730, 541, 11330, 290, 3212, 17682, 861, 365, 44315, 5319, 1038, 322, 6881, 15371, 34991, 6793, 16, 1055, 492, 322, 1568, 928, 18, 365, 1078, 309, 10159, 478, 32485, 18, 8381, 470, 282, 27246, 16170, 16, 374, 3569, 38686, 322, 1413, 31181, 15861, 8434, 25097, 14068, 831, 16, 367, 1247, 26840, 26834, 434, 47986, 473, 925, 6309, 282, 1169, 13, 26940, 687, 1011, 18890, 4981, 9756, 18, 478, 684, 14573, 22510, 746, 478, 730, 368, 470, 322, 6790, 977, 282, 3569, 38686, 1175, 334, 11135, 290, 35205, 309, 6793, 26834, 434, 47986, 910, 510, 7299, 282, 3569, 9297, 464, 1624, 5542, 6954, 16, 374, 21421, 3327, 322, 1623, 30046, 541, 13595, 4075, 290, 35205, 670, 37003, 282, 35205, 26834, 434, 47986, 18, 421, 2166, 7620, 1642, 9810, 1385, 16, 282, 1029, 8034, 5906, 21208, 478, 780, 3653, 526, 700, 910, 3011, 12978, 18, 23569, 39656, 24212, 11538, 718, 1642, 3720, 27439, 712, 282, 17130, 478, 8572, 37733, 7988, 5902, 470, 8566, 478, 780, 3653, 526, 554, 470, 478, 1766, 14624, 1491, 416, 25529, 761, 910, 1586, 322, 2397, 1329, 7203, 281, 449, 5925, 26795, 18, 478, 6115, 267, 30607, 12902, 935, 15823, 1631, 16, 935, 11296, 16, 3147, 942, 16, 515, 281, 1851, 5173, 35, 4185, 8051, 282, 6595, 17, 299, 24904, 37783, 2100, 16, 753, 17338, 2764, 309, 31735, 5061, 4678, 289, 13502, 2662, 35, 889, 30792, 910, 510, 1109, 27439, 712, 18, 27695, 17371, 7032, 5169, 9810, 1385, 473, 280, 26212, 27266, 278, 5169, 13, 282, 1175, 6061, 1870, 377, 37526, 5273, 16, 374, 282, 25097, 1003, 1329, 6506, 434, 18, 478, 44921, 5152, 1559, 39659, 349, 30591, 4846, 4913, 16, 367, 8051, 505, 5406, 16, 417, 9763, 16, 5773, 9093, 910, 510, 4848, 1870, 377, 37526, 8818, 18, 817, 5692, 16, 374, 481, 505, 34139, 17959, 18, 478, 672, 3190, 553, 9810, 1385, 1003, 289, 322, 840, 16, 745, 322, 1747, 32474, 18, 629, 773, 935, 322, 9824, 7859, 10236, 1335, 3860, 910, 510, 2815, 1870, 377, 37526, 18, 2, 1, 87, 1456, 81, 2448, 30, 40855, 11832, 1133, 39512, 1157, 34447, 1533, 21430, 40203, 411, 1912, 14938, 309, 9220, 2529, 282, 22256, 12013, 2422, 18, 30205, 1952, 289, 14697, 411, 4095, 2044, 7788, 10645, 26923, 1275, 478, 1663, 536, 910, 15804, 16, 374, 697, 9764, 5575, 13689, 35029, 10386, 9945, 18, 365, 4810, 16, 5037, 727, 1098, 1009, 730, 10261, 13916, 526, 636, 45955, 8014, 455, 7709, 3486, 6761, 349, 8225, 4092, 11504, 17987, 13048, 27885, 5473, 3947, 891, 18, 31224, 30, 677, 20548, 1212, 632, 1674, 9425, 476, 31089, 16628, 2422, 334, 9613, 13402, 30647, 7928, 16, 1029, 14366, 281, 1939, 3750, 334, 816, 3990, 18, 7704, 4156, 282, 30010, 547, 1962, 4357, 349, 15656, 10313, 4583, 20925, 26303, 16, 45662, 4749, 282, 7343, 11035, 2706, 40203, 16, 2511, 411, 1639, 510, 19844, 18, 967, 803, 1533, 27072, 14742, 21717, 26923, 873, 34447, 282, 9613, 5281, 5841, 1165, 16, 322, 42969, 537, 2236, 32060, 25067, 18, 967, 7432, 8955, 1360, 4008, 47506, 363, 1208, 24313, 612, 16, 1034, 671, 472, 13520, 16, 19432, 385, 13278, 8853, 16, 768, 5158, 6315, 1318, 9065, 1152, 268, 16, 367, 1038, 39512, 2203, 4809, 19377, 22016, 320, 5945, 727, 300, 332, 289, 22227, 431, 42983, 890, 2167, 18, 25021, 292, 26923, 933, 39512, 1051, 14306, 31823, 329, 45593, 289, 11241, 14971, 411, 1888, 2044, 18, 24114, 411, 4056, 5860, 977, 5037, 4551, 9613, 5281, 5841, 368, 1175, 473, 1182, 1098, 1009, 730, 13, 10261, 13916, 526, 636, 16, 5316, 4749, 42094, 20665, 478, 27481, 4269, 4027, 496, 26303, 861, 824, 722, 4734, 16, 14698, 26923, 4287, 7099, 4092, 11328, 20160, 13048, 27885, 5473, 3947, 891, 1623, 35029, 10386, 334, 8823, 294, 4310, 11471, 395, 18, 478, 19479, 10041, 16, 481, 16797, 1633, 3878, 18804, 26923, 1275, 18, 415, 1615, 1489, 475, 3066, 1143, 16, 828, 10037, 18, 37773, 16, 374, 329, 813, 19650, 16, 289, 329, 4717, 912, 1871, 19650, 16, 428, 289, 309, 43035, 18, 740, 2900, 41114, 21814, 4024, 1003, 18, 4406, 36567, 3586, 18, 385, 2107, 1963, 16, 656, 10544, 2496, 39515, 16, 289, 481, 1320, 7946, 18, 8269, 16, 374, 481, 726, 22843, 485, 18, 25244, 329, 1209, 21658, 912, 27885, 6180, 18578, 309, 939, 14440, 20160, 18, 832, 3478, 13117, 12271, 16, 726, 481, 6949, 30, 481, 1493, 24055, 3359, 2797, 2976, 18, 365, 2759, 10434, 537, 329, 2236, 41816, 1003, 27885, 5473, 3947, 891, 16, 537, 309, 2710, 20160, 2141, 5, 1860, 1963, 16901, 2044, 912, 1851, 17, 299, 32674, 910, 510, 15875, 13916, 526, 636, 6080, 478, 13261, 861, 640, 12013, 2422, 19186, 20925, 43850, 7109, 40203, 16, 2852, 411, 1639, 39023, 289, 1421, 510, 19543, 1505, 18, 1012, 1319, 10967, 6677, 727, 1098, 1009, 730, 322, 5290, 749, 2904, 282, 5271, 26923, 680, 4966, 18, 996, 16, 1176, 411, 45593, 49753, 680, 7342, 5014, 2674, 25570, 399, 301, 948, 8566, 1694, 13916, 526, 636, 478, 1663, 758, 910, 32949, 16, 374, 518, 17143, 16, 309, 961, 329, 26923, 933, 39512, 1051, 13115, 9959, 16, 322, 3929, 2797, 2976, 304, 18, 478, 1140, 813, 912, 32752, 16, 13081, 1733, 37847, 3851, 18, 740, 7948, 2389, 360, 37847, 918, 16605, 3716, 567, 1209, 7338, 16, 289, 745, 322, 2961, 7267, 28203, 622, 910, 510, 7332, 1694, 25570, 399, 2142, 507, 40053, 534, 18, 2046, 10398, 13916, 526, 636, 282, 4492, 285, 617, 6226, 4092, 11504, 27183, 289, 17987, 19341, 289, 4244, 873, 18, 5161, 16, 13866, 812, 12869, 16586, 1162, 14007, 343, 411, 15500, 1614, 20897, 15637, 28925, 5777, 1154, 6106, 16, 374, 827, 9613, 29790, 2397, 16444, 2257, 3860, 477, 25517, 16, 502, 282, 43235, 48421, 975, 1003, 2223, 18, 478, 33745, 11471, 395, 3014, 12676, 4310, 7595, 3416, 289, 13880, 6085, 428, 40192, 910, 510, 15875, 15637, 28925, 40053, 534, 18, 30205, 320, 7342, 5306, 32376, 1034, 2798, 286, 312, 868, 16, 7193, 2024, 282, 9613, 5281, 5841, 1165, 8824, 749, 27072, 16, 15698, 2904, 14676, 309, 18804, 22227, 936, 42983, 890, 2167, 16, 1586, 30346, 5248, 4314, 5841, 454, 309, 1533, 4017, 16, 22779, 766, 2221, 309, 1760, 4017, 16, 367, 1038, 43850, 12620, 282, 6229, 17, 9412, 464, 309, 2555, 4017, 18, 18340, 1070, 282, 2286, 6755, 2555, 17, 17827, 2281, 546, 7840, 329, 1169, 613, 14306, 1500, 5809, 16, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8695, 16, 428, 3836, 2089, 6730, 541, 11330, 290, 3212, 17682, 861, 365, 44315, 5319, 1038, 322, 6881, 15371, 34991, 6793, 16, 1055, 492, 322, 1568, 928, 18, 365, 1078, 309, 10159, 478, 32485, 18, 8381, 470, 282, 27246, 16170, 16, 374, 3569, 38686, 322, 1413, 31181, 15861, 8434, 25097, 14068, 831, 16, 367, 1247, 26840, 26834, 434, 47986, 473, 925, 6309, 282, 1169, 13, 26940, 687, 1011, 18890, 4981, 9756, 18, 478, 684, 14573, 22510, 746, 478, 730, 368, 470, 322, 6790, 977, 282, 3569, 38686, 1175, 334, 11135, 290, 35205, 309, 6793, 26834, 434, 47986, 910, 510, 7299, 282, 3569, 9297, 464, 1624, 5542, 6954, 16, 374, 21421, 3327, 322, 1623, 30046, 541, 13595, 4075, 290, 35205, 670, 37003, 282, 35205, 26834, 434, 47986, 18, 421, 2166, 7620, 1642, 9810, 1385, 16, 282, 1029, 8034, 5906, 21208, 478, 780, 3653, 526, 700, 910, 3011, 12978, 18, 23569, 39656, 24212, 11538, 718, 1642, 3720, 27439, 712, 282, 17130, 478, 8572, 37733, 7988, 5902, 470, 8566, 478, 780, 3653, 526, 554, 470, 478, 1766, 14624, 1491, 416, 25529, 761, 910, 1586, 322, 2397, 1329, 7203, 281, 449, 5925, 26795, 18, 478, 6115, 267, 30607, 12902, 935, 15823, 1631, 16, 935, 11296, 16, 3147, 942, 16, 515, 281, 1851, 5173, 35, 4185, 8051, 282, 6595, 17, 299, 24904, 37783, 2100, 16, 753, 17338, 2764, 309, 31735, 5061, 4678, 289, 13502, 2662, 35, 889, 30792, 910, 510, 1109, 27439, 712, 18, 27695, 17371, 7032, 5169, 9810, 1385, 473, 280, 26212, 27266, 278, 5169, 13, 282, 1175, 6061, 1870, 377, 37526, 5273, 16, 374, 282, 25097, 1003, 1329, 6506, 434, 18, 478, 44921, 5152, 1559, 39659, 349, 30591, 4846, 4913, 16, 367, 8051, 505, 5406, 16, 417, 9763, 16, 5773, 9093, 910, 510, 4848, 1870, 377, 37526, 8818, 18, 817, 5692, 16, 374, 481, 505, 34139, 17959, 18, 478, 672, 3190, 553, 9810, 1385, 1003, 289, 322, 840, 16, 745, 322, 1747, 32474, 18, 629, 773, 935, 322, 9824, 7859, 10236, 1335, 3860, 910, 510, 2815, 1870, 377, 37526, 18, 2, 1, 87, 1456, 81, 2448, 30, 40855, 11832, 1133, 39512, 1157, 34447, 1533, 21430, 40203, 411, 1912, 14938, 309, 9220, 2529, 282, 22256, 12013, 2422, 18, 30205, 1952, 289, 14697, 411, 4095, 2044, 7788, 10645, 26923, 1275, 478, 1663, 536, 910, 15804, 16, 374, 697, 9764, 5575, 13689, 35029, 10386, 9945, 18, 365, 4810, 16, 5037, 727, 1098, 1009, 730, 10261, 13916, 526, 636, 45955, 8014, 455, 7709, 3486, 6761, 349, 8225, 4092, 11504, 17987, 13048, 27885, 5473, 3947, 891, 18, 31224, 30, 677, 20548, 1212, 632, 1674, 9425, 476, 31089, 16628, 2422, 334, 9613, 13402, 30647, 7928, 16, 1029, 14366, 281, 1939, 3750, 334, 816, 3990, 18, 7704, 4156, 282, 30010, 547, 1962, 4357, 349, 15656, 10313, 4583, 20925, 26303, 16, 45662, 4749, 282, 7343, 11035, 2706, 40203, 16, 2511, 411, 1639, 510, 19844, 18, 967, 803, 1533, 27072, 14742, 21717, 26923, 873, 34447, 282, 9613, 5281, 5841, 1165, 16, 322, 42969, 537, 2236, 32060, 25067, 18, 967, 7432, 8955, 1360, 4008, 47506, 363, 1208, 24313, 612, 16, 1034, 671, 472, 13520, 16, 19432, 385, 13278, 8853, 16, 768, 5158, 6315, 1318, 9065, 1152, 268, 16, 367, 1038, 39512, 2203, 4809, 19377, 22016, 320, 5945, 727, 300, 332, 289, 22227, 431, 42983, 890, 2167, 18, 25021, 292, 26923, 933, 39512, 1051, 14306, 31823, 329, 45593, 289, 11241, 14971, 411, 1888, 2044, 18, 24114, 411, 4056, 5860, 977, 5037, 4551, 9613, 5281, 5841, 368, 1175, 473, 1182, 1098, 1009, 730, 13, 10261, 13916, 526, 636, 16, 5316, 4749, 42094, 20665, 478, 27481, 4269, 4027, 496, 26303, 861, 824, 722, 4734, 16, 14698, 26923, 4287, 7099, 4092, 11328, 20160, 13048, 27885, 5473, 3947, 891, 1623, 35029, 10386, 334, 8823, 294, 4310, 11471, 395, 18, 478, 19479, 10041, 16, 481, 16797, 1633, 3878, 18804, 26923, 1275, 18, 415, 1615, 1489, 475, 3066, 1143, 16, 828, 10037, 18, 37773, 16, 374, 329, 813, 19650, 16, 289, 329, 4717, 912, 1871, 19650, 16, 428, 289, 309, 43035, 18, 740, 2900, 41114, 21814, 4024, 1003, 18, 4406, 36567, 3586, 18, 385, 2107, 1963, 16, 656, 10544, 2496, 39515, 16, 289, 481, 1320, 7946, 18, 8269, 16, 374, 481, 726, 22843, 485, 18, 25244, 329, 1209, 21658, 912, 27885, 6180, 18578, 309, 939, 14440, 20160, 18, 832, 3478, 13117, 12271, 16, 726, 481, 6949, 30, 481, 1493, 24055, 3359, 2797, 2976, 18, 365, 2759, 10434, 537, 329, 2236, 41816, 1003, 27885, 5473, 3947, 891, 16, 537, 309, 2710, 20160, 2141, 5, 1860, 1963, 16901, 2044, 912, 1851, 17, 299, 32674, 910, 510, 15875, 13916, 526, 636, 6080, 478, 13261, 861, 640, 12013, 2422, 19186, 20925, 43850, 7109, 40203, 16, 2852, 411, 1639, 39023, 289, 1421, 510, 19543, 1505, 18, 1012, 1319, 10967, 6677, 727, 1098, 1009, 730, 322, 5290, 749, 2904, 282, 5271, 26923, 680, 4966, 18, 996, 16, 1176, 411, 45593, 49753, 680, 7342, 5014, 2674, 25570, 399, 301, 948, 8566, 1694, 13916, 526, 636, 478, 1663, 758, 910, 32949, 16, 374, 518, 17143, 16, 309, 961, 329, 26923, 933, 39512, 1051, 13115, 9959, 16, 322, 3929, 2797, 2976, 304, 18, 478, 1140, 813, 912, 32752, 16, 13081, 1733, 37847, 3851, 18, 740, 7948, 2389, 360, 37847, 918, 16605, 3716, 567, 1209, 7338, 16, 289, 745, 322, 2961, 7267, 28203, 622, 910, 510, 7332, 1694, 25570, 399, 2142, 507, 40053, 534, 18, 2046, 10398, 13916, 526, 636, 282, 4492, 285, 617, 6226, 4092, 11504, 27183, 289, 17987, 19341, 289, 4244, 873, 18, 5161, 16, 13866, 812, 12869, 16586, 1162, 14007, 343, 411, 15500, 1614, 20897, 15637, 28925, 5777, 1154, 6106, 16, 374, 827, 9613, 29790, 2397, 16444, 2257, 3860, 477, 25517, 16, 502, 282, 43235, 48421, 975, 1003, 2223, 18, 478, 33745, 11471, 395, 3014, 12676, 4310, 7595, 3416, 289, 13880, 6085, 428, 40192, 910, 510, 15875, 15637, 28925, 40053, 534, 18, 30205, 320, 7342, 5306, 32376, 1034, 2798, 286, 312, 868, 16, 7193, 2024, 282, 9613, 5281, 5841, 1165, 8824, 749, 27072, 16, 15698, 2904, 14676, 309, 18804, 22227, 936, 42983, 890, 2167, 16, 1586, 30346, 5248, 4314, 5841, 454, 309, 1533, 4017, 16, 22779, 766, 2221, 309, 1760, 4017, 16, 367, 1038, 43850, 12620, 282, 6229, 17, 9412, 464, 309, 2555, 4017, 18, 18340, 1070, 282, 2286, 6755, 2555, 17, 17827, 2281, 546, 7840, 329, 1169, 613, 14306, 1500, 5809, 16, 374 ]
[ 11471, 343, 5505, 6915, 19953, 9518, 411, 17, 431, 5689, 1166, 7167, 349, 12006, 3806, 48181, 2976, 1385, 8410, 18, 478, 682, 1408, 4285, 481, 16417, 16, 8602, 4538, 18, 629, 373, 720, 5342, 16, 827, 373, 13749, 16, 374, 453, 289, 2993, 953, 18, 24106, 16, 678, 6353, 7736, 1209, 18, 459, 481, 7322, 18, 23200, 541, 703, 939, 7322, 18, 16869, 3857, 5245, 13375, 281, 2797, 2976, 304, 18, 1787, 9613, 9406, 7928, 4748, 16, 753, 492, 685, 29412, 910, 510, 2815, 1034, 2798, 286, 312, 8604, 282, 7337, 33293, 1149, 1656, 1072, 18, 42983, 890, 2167, 16, 5505, 400, 4749, 411, 17, 431, 23220, 427, 16628, 2422, 7847, 779, 289, 16620, 29149, 17, 28028, 16, 17273, 6406, 309, 17586, 8348, 4745, 16, 32949, 16, 374, 2159, 13742, 678, 360, 38627, 8602, 16, 367, 1038, 39672, 16, 374, 27528, 4092, 11504, 11242, 639, 15201, 37180, 3250, 18, 7106, 16, 282, 12354, 4145, 779, 2797, 2976, 17, 34913, 264, 42983, 890, 2167, 11642, 31850, 6441, 309, 8881, 367, 9445, 823, 2160, 422, 1960, 11528, 12419, 843, 11142, 16, 1029, 4092, 2365, 15602, 536, 3806, 48181, 2976, 2509, 39298, 473, 1234, 37, 18040, 17014, 824, 19983, 13229, 2281, 546, 11032, 27866, 477, 28176, 29582, 16, 282, 2114, 38349, 16, 374, 26249, 23947, 1450, 282, 11278, 371, 10634, 16047, 265, 541, 2350, 16, 2588, 1450, 4263, 7110, 26923, 680, 4966, 30605, 273, 8009, 488, 3646, 286, 18, 6825, 931, 16, 48131, 2159, 3003, 16, 4725, 16, 374, 322, 3973, 282, 5271, 16047, 265, 4092, 22066, 26249, 16, 289, 13875, 8348, 381, 15369, 7025, 18, 10482, 16, 374, 1011, 8264, 42983, 890, 2167, 1034, 2798, 286, 312, 868, 3424, 12679, 282, 25796, 289, 9299, 16, 374, 478, 964, 15596, 10668, 910, 367, 1038, 9738, 8382, 1188, 26923, 680, 39512, 5793, 16, 33160, 16, 374, 19127, 26303, 18, 6831, 49753, 933, 39512, 1051, 2797, 46749, 516, 5901, 4247, 289, 16108, 385, 13278, 8853, 281, 24313, 612, 18, 7200, 685, 2264, 21169, 282, 3275, 635, 2463, 16, 2486, 17258, 764, 282, 2604, 1045, 16, 785, 2797, 2976, 17, 22332, 627, 41816, 7863, 31850, 6441, 8881, 48906, 1219, 2675, 1869, 18, 2046, 329, 26923, 613, 16, 1029, 24798, 360, 37847, 918, 16, 8849, 14698, 309, 8225, 8389, 24917, 18, 21474, 6795, 20425, 294, 8001, 11832, 680, 22941, 9613, 9406, 7928, 639, 502, 16, 374, 41461, 7434, 17143, 282, 18020, 385, 13278, 8853, 906, 6245, 12720, 309, 6603, 5999, 824, 19983, 13229, 37167, 4909, 783, 9613, 9406, 7928, 473, 1182, 20101, 13, 322, 2756, 13619, 1855, 41816, 16, 5828, 3833, 505, 282, 33511, 360, 22300, 18, 2046, 1234, 37, 18040, 16, 664, 34425, 3003, 18151, 563, 45815, 16, 424, 576, 33645, 282, 31748, 6779, 26311, 451, 1551, 473, 39, 12059, 934, 2202, 1779, 385, 13278, 8853, 30143, 282, 27063, 3806, 48181, 2976, 1385, 8410, 18, 365, 2630, 281, 2184, 492, 685, 35760, 10553, 1388, 36579, 478, 34058, 744, 385, 382, 470, 289, 7203, 349, 4097, 8900, 17, 8157, 19, 3114, 16, 367, 1038, 5689, 23305, 1390, 309, 1272, 5196, 18, 967, 19152, 4092, 11328, 20160, 289, 47506, 363, 1208, 24313, 612, 16, 12162, 27780, 309, 5017, 11290, 12013, 2422, 12620, 282, 46841, 464, 309, 430, 16, 26, 4017, 16, 367, 1038, 282, 3541, 416, 46841, 842, 680, 34042, 289, 36201, 781, 18, 985, 289, 3333, 26923, 1133, 39512, 1157, 16, 492, 24798, 360, 37847, 918, 18, 2263, 24313, 612, 15123, 25171, 22500, 12586, 15599, 16, 4092, 10574, 1234, 37, 18040, 18, 2046, 2281, 546, 46787, 2397, 27885, 10328, 24219, 541, 8886, 17143, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 30881, 6961, 7928, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 33116, 18164, 14118, 6363, 1483, 3141, 16, 48131, 13270, 360, 18164, 478, 13781, 910, 4255, 1475, 309, 16718, 24055, 5460, 13397, 2855, 282, 5572, 29235, 5906, 16, 22618, 16, 374, 7193, 32033, 33489, 16, 367, 1038, 14403, 16, 374, 8534, 505, 17336, 334, 17, 6093, 9095, 290, 1190, 3751, 18, 31224, 30, 471, 50246, 27798, 8782, 10654, 1954, 16, 18042, 1063, 477, 12932, 2239, 30, 23, 18, 3557, 1033, 16, 785, 2117, 1048, 281, 48976, 478, 13781, 910, 510, 39300, 5815, 13397, 1275, 6363, 1483, 3141, 18, 510, 365, 15301, 29235, 656, 2458, 6281, 14377, 968, 16, 733, 2106, 3467, 30503, 16, 515, 16, 294, 37651, 16, 639, 726, 2410, 6774, 18, 6023, 9789, 453, 6281, 281, 5606, 1879, 861, 510, 439, 322, 15071, 11291, 8266, 726, 282, 5572, 29235, 35, 3510, 478, 13781, 470, 687, 46618, 281, 39945, 16400, 18, 439, 387, 4732, 10133, 3215, 17, 2767, 9871, 24226, 18, 510, 640, 2218, 2193, 16, 19329, 685, 3215, 47347, 18, 1345, 3005, 289, 4024, 6863, 16, 3057, 16, 7243, 9935, 5906, 1061, 309, 816, 18, 1397, 5327, 478, 13781, 910, 502, 581, 16, 11159, 883, 19205, 16, 515, 7193, 9219, 2846, 2299, 6979, 289, 3147, 3207, 4522, 1920, 18, 832, 9763, 16, 374, 481, 21519, 435, 309, 1907, 4466, 18, 3397, 475, 6535, 282, 22428, 4190, 18, 510, 832, 15071, 30700, 15825, 12355, 360, 45593, 289, 8346, 35, 478, 13467, 272, 470, 481, 24065, 18, 510, 608, 813, 14197, 12727, 18, 1345, 475, 870, 3586, 1142, 414, 16, 9258, 339, 289, 3984, 11291, 18, 6023, 5702, 687, 281, 1676, 8463, 289, 25473, 289, 850, 3396, 2915, 16, 6281, 282, 7252, 8267, 309, 8955, 18, 510, 985, 6935, 44427, 35, 510, 5390, 5, 14069, 466, 16, 2091, 16, 515, 475, 575, 417, 20721, 360, 12334, 1809, 6101, 18, 1782, 454, 3793, 16782, 553, 1055, 322, 10842, 6281, 784, 282, 11325, 3941, 18, 2326, 46489, 13581, 10434, 16, 428, 2447, 16, 515, 16, 294, 6095, 16, 8534, 17336, 16, 9357, 1719, 16, 1055, 374, 703, 18127, 1867, 18, 510, 459, 2391, 282, 15301, 29235, 387, 27012, 462, 29572, 309, 27027, 35, 510, 1665, 2091, 18, 459, 16, 3684, 16, 481, 639, 25891, 9680, 1880, 3003, 18, 629, 281, 1498, 12557, 18, 608, 2616, 17, 299, 282, 1177, 2894, 2117, 7387, 1882, 16, 289, 827, 8404, 16004, 1904, 16, 502, 16, 428, 5130, 16, 12632, 773, 282, 2038, 18, 14097, 326, 518, 16452, 32908, 16, 961, 39704, 751, 1882, 18, 889, 30435, 8757, 18, 510, 832, 14370, 2602, 16, 374, 28654, 14118, 309, 8267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11471, 343, 5505, 6915, 19953, 9518, 411, 17, 431, 5689, 1166, 7167, 349, 12006, 3806, 48181, 2976, 1385, 8410, 18, 478, 682, 1408, 4285, 481, 16417, 16, 8602, 4538, 18, 629, 373, 720, 5342, 16, 827, 373, 13749, 16, 374, 453, 289, 2993, 953, 18, 24106, 16, 678, 6353, 7736, 1209, 18, 459, 481, 7322, 18, 23200, 541, 703, 939, 7322, 18, 16869, 3857, 5245, 13375, 281, 2797, 2976, 304, 18, 1787, 9613, 9406, 7928, 4748, 16, 753, 492, 685, 29412, 910, 510, 2815, 1034, 2798, 286, 312, 8604, 282, 7337, 33293, 1149, 1656, 1072, 18, 42983, 890, 2167, 16, 5505, 400, 4749, 411, 17, 431, 23220, 427, 16628, 2422, 7847, 779, 289, 16620, 29149, 17, 28028, 16, 17273, 6406, 309, 17586, 8348, 4745, 16, 32949, 16, 374, 2159, 13742, 678, 360, 38627, 8602, 16, 367, 1038, 39672, 16, 374, 27528, 4092, 11504, 11242, 639, 15201, 37180, 3250, 18, 7106, 16, 282, 12354, 4145, 779, 2797, 2976, 17, 34913, 264, 42983, 890, 2167, 11642, 31850, 6441, 309, 8881, 367, 9445, 823, 2160, 422, 1960, 11528, 12419, 843, 11142, 16, 1029, 4092, 2365, 15602, 536, 3806, 48181, 2976, 2509, 39298, 473, 1234, 37, 18040, 17014, 824, 19983, 13229, 2281, 546, 11032, 27866, 477, 28176, 29582, 16, 282, 2114, 38349, 16, 374, 26249, 23947, 1450, 282, 11278, 371, 10634, 16047, 265, 541, 2350, 16, 2588, 1450, 4263, 7110, 26923, 680, 4966, 30605, 273, 8009, 488, 3646, 286, 18, 6825, 931, 16, 48131, 2159, 3003, 16, 4725, 16, 374, 322, 3973, 282, 5271, 16047, 265, 4092, 22066, 26249, 16, 289, 13875, 8348, 381, 15369, 7025, 18, 10482, 16, 374, 1011, 8264, 42983, 890, 2167, 1034, 2798, 286, 312, 868, 3424, 12679, 282, 25796, 289, 9299, 16, 374, 478, 964, 15596, 10668, 910, 367, 1038, 9738, 8382, 1188, 26923, 680, 39512, 5793, 16, 33160, 16, 374, 19127, 26303, 18, 6831, 49753, 933, 39512, 1051, 2797, 46749, 516, 5901, 4247, 289, 16108, 385, 13278, 8853, 281, 24313, 612, 18, 7200, 685, 2264, 21169, 282, 3275, 635, 2463, 16, 2486, 17258, 764, 282, 2604, 1045, 16, 785, 2797, 2976, 17, 22332, 627, 41816, 7863, 31850, 6441, 8881, 48906, 1219, 2675, 1869, 18, 2046, 329, 26923, 613, 16, 1029, 24798, 360, 37847, 918, 16, 8849, 14698, 309, 8225, 8389, 24917, 18, 21474, 6795, 20425, 294, 8001, 11832, 680, 22941, 9613, 9406, 7928, 639, 502, 16, 374, 41461, 7434, 17143, 282, 18020, 385, 13278, 8853, 906, 6245, 12720, 309, 6603, 5999, 824, 19983, 13229, 37167, 4909, 783, 9613, 9406, 7928, 473, 1182, 20101, 13, 322, 2756, 13619, 1855, 41816, 16, 5828, 3833, 505, 282, 33511, 360, 22300, 18, 2046, 1234, 37, 18040, 16, 664, 34425, 3003, 18151, 563, 45815, 16, 424, 576, 33645, 282, 31748, 6779, 26311, 451, 1551, 473, 39, 12059, 934, 2202, 1779, 385, 13278, 8853, 30143, 282, 27063, 3806, 48181, 2976, 1385, 8410, 18, 365, 2630, 281, 2184, 492, 685, 35760, 10553, 1388, 36579, 478, 34058, 744, 385, 382, 470, 289, 7203, 349, 4097, 8900, 17, 8157, 19, 3114, 16, 367, 1038, 5689, 23305, 1390, 309, 1272, 5196, 18, 967, 19152, 4092, 11328, 20160, 289, 47506, 363, 1208, 24313, 612, 16, 12162, 27780, 309, 5017, 11290, 12013, 2422, 12620, 282, 46841, 464, 309, 430, 16, 26, 4017, 16, 367, 1038, 282, 3541, 416, 46841, 842, 680, 34042, 289, 36201, 781, 18, 985, 289, 3333, 26923, 1133, 39512, 1157, 16, 492, 24798, 360, 37847, 918, 18, 2263, 24313, 612, 15123, 25171, 22500, 12586, 15599, 16, 4092, 10574, 1234, 37, 18040, 18, 2046, 2281, 546, 46787, 2397, 27885, 10328, 24219, 541, 8886, 17143, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 30881, 6961, 7928, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 33116, 18164, 14118, 6363, 1483, 3141, 16, 48131, 13270, 360, 18164, 478, 13781, 910, 4255, 1475, 309, 16718, 24055, 5460, 13397, 2855, 282, 5572, 29235, 5906, 16, 22618, 16, 374, 7193, 32033, 33489, 16, 367, 1038, 14403, 16, 374, 8534, 505, 17336, 334, 17, 6093, 9095, 290, 1190, 3751, 18, 31224, 30, 471, 50246, 27798, 8782, 10654, 1954, 16, 18042, 1063, 477, 12932, 2239, 30, 23, 18, 3557, 1033, 16, 785, 2117, 1048, 281, 48976, 478, 13781, 910, 510, 39300, 5815, 13397, 1275, 6363, 1483, 3141, 18, 510, 365, 15301, 29235, 656, 2458, 6281, 14377, 968, 16, 733, 2106, 3467, 30503, 16, 515, 16, 294, 37651, 16, 639, 726, 2410, 6774, 18, 6023, 9789, 453, 6281, 281, 5606, 1879, 861, 510, 439, 322, 15071, 11291, 8266, 726, 282, 5572, 29235, 35, 3510, 478, 13781, 470, 687, 46618, 281, 39945, 16400, 18, 439, 387, 4732, 10133, 3215, 17, 2767, 9871, 24226, 18, 510, 640, 2218, 2193, 16, 19329, 685, 3215, 47347, 18, 1345, 3005, 289, 4024, 6863, 16, 3057, 16, 7243, 9935, 5906, 1061, 309, 816, 18, 1397, 5327, 478, 13781, 910, 502, 581, 16, 11159, 883, 19205, 16, 515, 7193, 9219, 2846, 2299, 6979, 289, 3147, 3207, 4522, 1920, 18, 832, 9763, 16, 374, 481, 21519, 435, 309, 1907, 4466, 18, 3397, 475, 6535, 282, 22428, 4190, 18, 510, 832, 15071, 30700, 15825, 12355, 360, 45593, 289, 8346, 35, 478, 13467, 272, 470, 481, 24065, 18, 510, 608, 813, 14197, 12727, 18, 1345, 475, 870, 3586, 1142, 414, 16, 9258, 339, 289, 3984, 11291, 18, 6023, 5702, 687, 281, 1676, 8463, 289, 25473, 289, 850, 3396, 2915, 16, 6281, 282, 7252, 8267, 309, 8955, 18, 510, 985, 6935, 44427, 35, 510, 5390, 5, 14069, 466, 16, 2091, 16, 515, 475, 575, 417, 20721, 360, 12334, 1809, 6101, 18, 1782, 454, 3793, 16782, 553, 1055, 322, 10842, 6281, 784, 282, 11325, 3941, 18, 2326, 46489, 13581, 10434, 16, 428, 2447, 16, 515, 16, 294, 6095, 16, 8534, 17336, 16, 9357, 1719, 16, 1055, 374, 703, 18127, 1867, 18, 510, 459, 2391, 282, 15301, 29235, 387, 27012, 462, 29572, 309, 27027, 35, 510, 1665, 2091, 18, 459, 16, 3684, 16, 481, 639, 25891, 9680, 1880, 3003, 18, 629, 281, 1498, 12557, 18, 608, 2616, 17, 299, 282, 1177, 2894, 2117, 7387, 1882, 16, 289, 827, 8404, 16004, 1904, 16, 502, 16, 428, 5130, 16, 12632, 773, 282, 2038, 18, 14097, 326, 518, 16452, 32908, 16, 961, 39704, 751, 1882, 18, 889, 30435, 8757, 18, 510, 832, 14370, 2602, 16, 374, 28654, 14118, 309, 8267 ]
[ 639, 453, 2950, 35, 985, 11655, 16, 281, 828, 481, 9245, 35, 510, 25122, 4538, 16, 322, 2060, 16, 2006, 453, 2950, 25467, 9721, 813, 17126, 18, 3510, 481, 1819, 818, 16, 289, 2993, 639, 2896, 345, 1143, 15364, 18, 3249, 16, 1743, 282, 970, 16, 374, 19092, 2410, 17435, 16, 322, 2060, 723, 39016, 14889, 16, 374, 1830, 373, 518, 16, 1085, 5053, 16, 5684, 9720, 360, 4466, 18, 1178, 309, 32689, 10232, 1176, 14497, 4961, 14118, 16, 656, 3984, 6281, 541, 1047, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 730, 1152, 305, 3424, 11486, 332, 15142, 590, 8373, 368, 290, 478, 404, 13153, 547, 470, 3811, 19560, 16469, 43566, 2217, 18, 640, 1177, 445, 13120, 16, 374, 4827, 11265, 29630, 8641, 46407, 38449, 16, 289, 935, 6354, 26944, 505, 282, 11064, 18, 31224, 30, 42699, 15182, 2272, 23519, 282, 6940, 445, 45648, 36229, 309, 3511, 12888, 1701, 451, 22968, 10890, 282, 296, 648, 18, 16577, 1205, 478, 5945, 39380, 470, 290, 12644, 17, 41264, 19560, 16, 322, 2536, 22027, 13429, 16, 360, 1754, 2859, 6741, 751, 475, 12921, 448, 10195, 2422, 16, 1858, 13317, 282, 21077, 382, 27465, 21470, 5792, 16, 289, 12497, 332, 334, 26938, 26331, 290, 27803, 416, 14016, 9620, 30, 999, 11724, 382, 322, 13973, 6577, 3593, 30, 478, 677, 15770, 16590, 2700, 30547, 11710, 19998, 16604, 910, 478, 40050, 873, 334, 330, 36108, 309, 12847, 33669, 910, 478, 677, 15770, 16590, 22275, 1815, 11710, 19998, 16604, 910, 478, 40050, 1133, 11775, 16590, 22101, 30577, 16736, 16, 2700, 30547, 11710, 19998, 470, 289, 311, 18, 280, 18, 5637, 33330, 14821, 262, 890, 16, 428, 22021, 289, 4419, 16, 4167, 20556, 1360, 478, 9500, 5361, 416, 470, 33256, 47366, 578, 33254, 32852, 18, 6422, 16, 282, 12500, 978, 779, 478, 677, 3047, 9273, 746, 470, 36413, 47366, 578, 2709, 8208, 536, 17812, 3352, 289, 18889, 360, 505, 6226, 282, 3106, 15479, 18, 3739, 8729, 2158, 10958, 6489, 576, 11051, 281, 38995, 5368, 21077, 635, 30, 478, 40050, 873, 23361, 414, 9634, 451, 16604, 40610, 11331, 22302, 7716, 488, 285, 1880, 5626, 12698, 16, 374, 11775, 16590, 1372, 4833, 16154, 15004, 16469, 43566, 2217, 16, 1029, 2558, 501, 305, 1631, 519, 40104, 349, 1533, 8560, 861, 33671, 47366, 11528, 19781, 802, 309, 3438, 5229, 36335, 16, 8641, 1857, 3359, 282, 17130, 32137, 26643, 16, 282, 2114, 5130, 16, 374, 2700, 30547, 11710, 6835, 5097, 8187, 451, 16604, 16469, 43566, 2217, 1441, 30532, 1204, 6081, 3334, 6446, 7923, 289, 2259, 294, 5491, 1433, 282, 29334, 18, 365, 5703, 582, 322, 46137, 4302, 15662, 34246, 16, 9705, 16, 583, 16604, 282, 2100, 2781, 476, 1038, 17415, 18, 832, 10698, 451, 8203, 16405, 309, 502, 16, 374, 282, 2968, 309, 478, 5945, 507, 1066, 470, 360, 33254, 32852, 322, 36229, 28482, 12932, 2504, 30, 590, 8373, 368, 1335, 22968, 6589, 7036, 16528, 1003, 18, 28413, 1743, 651, 579, 1344, 18, 478, 563, 8590, 783, 470, 12837, 309, 12511, 30521, 26423, 27465, 5792, 16, 4116, 6261, 1580, 309, 12621, 1453, 29511, 553, 16, 961, 2504, 322, 1194, 397, 545, 21726, 25217, 18, 824, 13976, 309, 29986, 2069, 837, 5630, 13267, 396, 12644, 17, 41264, 572, 16469, 43566, 2217, 30307, 857, 349, 28589, 651, 2402, 2844, 31895, 13865, 10047, 4116, 13605, 7477, 266, 18, 37280, 572, 16, 1143, 20592, 309, 29630, 16, 12842, 3111, 290, 1190, 1205, 2158, 16, 785, 11891, 281, 30855, 505, 19071, 30733, 282, 25232, 848, 7964, 304, 15959, 18, 13758, 16469, 43566, 2217, 9601, 764, 282, 8311, 1045, 16, 785, 33256, 10729, 26142, 44573, 320, 15885, 22300, 33469, 451, 16604, 46539, 11210, 18, 817, 21924, 411, 6248, 1344, 10084, 510, 8578, 16, 37437, 22292, 47051, 303, 609, 647, 44628, 16, 1962, 434, 437, 24248, 1126, 853, 1347, 16, 5878, 2989, 29630, 16, 3243, 1231, 539, 281, 9146, 22799, 18, 824, 3163, 20193, 1887, 16, 16604, 8908, 11670, 45865, 749, 6226, 4827, 6876, 4733, 3080, 18, 2046, 481, 21783, 14426, 29657, 14371, 17926, 14826, 507, 18, 3510, 827, 16469, 43566, 2217, 510, 481, 2513, 3407, 4461, 16, 678, 322, 895, 13342, 1595, 29796, 749, 17964, 11967, 18, 385, 2184, 4906, 1518, 289, 14736, 367, 675, 4970, 313, 282, 17310, 5792, 2917, 9685, 416, 12526, 16, 541, 31077, 726, 1293, 986, 18, 365, 23445, 1293, 986, 20193, 572, 5931, 1195, 22570, 366, 4838, 12333, 382, 16, 289, 282, 5049, 1045, 9601, 505, 478, 404, 18077, 13713, 470, 18205, 18, 7909, 282, 6081, 1212, 15970, 17, 14099, 547, 474, 38279, 307, 5395, 13785, 424, 9444, 14682, 26785, 1312, 24955, 28930, 685, 6065, 43248, 18460, 17854, 16, 4604, 10977, 45865, 282, 19373, 26464, 473, 25807, 33233, 308, 682, 309, 4326, 33419, 266, 814, 4541, 41901, 33095, 8343, 887, 289, 282, 40610, 18, 385, 3734, 779, 282, 15284, 1302, 1366, 716, 12477, 87, 282, 7390, 5395, 5214, 3946, 6260, 5044, 424, 9444, 5409, 38861, 19192, 354, 13487, 15129, 16469, 43566, 2217, 18, 37280, 572, 16836, 13049, 282, 26742, 49923, 23830, 309, 13652, 49783, 14764, 741, 4330, 16, 29671, 5668, 874, 45865, 282, 11970, 4531, 1368, 957, 21322, 18, 14069, 3626, 35941, 5915, 4703, 3440, 16, 828, 282, 6081, 1212, 6662, 11153, 16, 515, 867, 322, 2619, 5063, 862, 16, 374, 678, 3523, 4416, 18, 478, 8244, 20142, 35498, 467, 4010, 17, 299, 14848, 399, 435, 16, 1215, 5548, 13241, 414, 5901, 281, 13794, 84, 44383, 18, 1606, 12486, 24552, 411, 4700, 17, 299, 9246, 40438, 289, 3857, 12486, 2710, 17, 299, 856, 10699, 7005, 16, 1373, 481, 7291, 478, 275, 18444, 564, 2764, 541, 34951, 432, 11587, 910, 510, 9848, 1655, 478, 46088, 18, 8381, 470, 6730, 281, 43805, 478, 511, 348, 2857, 7771, 470, 14182, 4651, 14331, 40610, 18, 5043, 16, 282, 20526, 10936, 40610, 17930, 4652, 290, 970, 575, 18, 478, 30787, 309, 502, 16, 374, 5981, 4090, 27417, 4202, 15825, 411, 20392, 31799, 11326, 576, 1269, 19220, 16, 1542, 44392, 15068, 322, 18649, 4700, 17, 3697, 38452, 431, 4486, 10445, 18, 365, 40610, 322, 7393, 1195, 9818, 355, 13794, 84, 44383, 910, 510, 17930, 282, 41278, 2437, 29997, 33293, 34668, 18, 3758, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 10882, 282, 19911, 304, 8267, 7561, 13613, 478, 672, 2334, 3949, 931, 397, 910, 42262, 2191, 13104 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 639, 453, 2950, 35, 985, 11655, 16, 281, 828, 481, 9245, 35, 510, 25122, 4538, 16, 322, 2060, 16, 2006, 453, 2950, 25467, 9721, 813, 17126, 18, 3510, 481, 1819, 818, 16, 289, 2993, 639, 2896, 345, 1143, 15364, 18, 3249, 16, 1743, 282, 970, 16, 374, 19092, 2410, 17435, 16, 322, 2060, 723, 39016, 14889, 16, 374, 1830, 373, 518, 16, 1085, 5053, 16, 5684, 9720, 360, 4466, 18, 1178, 309, 32689, 10232, 1176, 14497, 4961, 14118, 16, 656, 3984, 6281, 541, 1047, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 730, 1152, 305, 3424, 11486, 332, 15142, 590, 8373, 368, 290, 478, 404, 13153, 547, 470, 3811, 19560, 16469, 43566, 2217, 18, 640, 1177, 445, 13120, 16, 374, 4827, 11265, 29630, 8641, 46407, 38449, 16, 289, 935, 6354, 26944, 505, 282, 11064, 18, 31224, 30, 42699, 15182, 2272, 23519, 282, 6940, 445, 45648, 36229, 309, 3511, 12888, 1701, 451, 22968, 10890, 282, 296, 648, 18, 16577, 1205, 478, 5945, 39380, 470, 290, 12644, 17, 41264, 19560, 16, 322, 2536, 22027, 13429, 16, 360, 1754, 2859, 6741, 751, 475, 12921, 448, 10195, 2422, 16, 1858, 13317, 282, 21077, 382, 27465, 21470, 5792, 16, 289, 12497, 332, 334, 26938, 26331, 290, 27803, 416, 14016, 9620, 30, 999, 11724, 382, 322, 13973, 6577, 3593, 30, 478, 677, 15770, 16590, 2700, 30547, 11710, 19998, 16604, 910, 478, 40050, 873, 334, 330, 36108, 309, 12847, 33669, 910, 478, 677, 15770, 16590, 22275, 1815, 11710, 19998, 16604, 910, 478, 40050, 1133, 11775, 16590, 22101, 30577, 16736, 16, 2700, 30547, 11710, 19998, 470, 289, 311, 18, 280, 18, 5637, 33330, 14821, 262, 890, 16, 428, 22021, 289, 4419, 16, 4167, 20556, 1360, 478, 9500, 5361, 416, 470, 33256, 47366, 578, 33254, 32852, 18, 6422, 16, 282, 12500, 978, 779, 478, 677, 3047, 9273, 746, 470, 36413, 47366, 578, 2709, 8208, 536, 17812, 3352, 289, 18889, 360, 505, 6226, 282, 3106, 15479, 18, 3739, 8729, 2158, 10958, 6489, 576, 11051, 281, 38995, 5368, 21077, 635, 30, 478, 40050, 873, 23361, 414, 9634, 451, 16604, 40610, 11331, 22302, 7716, 488, 285, 1880, 5626, 12698, 16, 374, 11775, 16590, 1372, 4833, 16154, 15004, 16469, 43566, 2217, 16, 1029, 2558, 501, 305, 1631, 519, 40104, 349, 1533, 8560, 861, 33671, 47366, 11528, 19781, 802, 309, 3438, 5229, 36335, 16, 8641, 1857, 3359, 282, 17130, 32137, 26643, 16, 282, 2114, 5130, 16, 374, 2700, 30547, 11710, 6835, 5097, 8187, 451, 16604, 16469, 43566, 2217, 1441, 30532, 1204, 6081, 3334, 6446, 7923, 289, 2259, 294, 5491, 1433, 282, 29334, 18, 365, 5703, 582, 322, 46137, 4302, 15662, 34246, 16, 9705, 16, 583, 16604, 282, 2100, 2781, 476, 1038, 17415, 18, 832, 10698, 451, 8203, 16405, 309, 502, 16, 374, 282, 2968, 309, 478, 5945, 507, 1066, 470, 360, 33254, 32852, 322, 36229, 28482, 12932, 2504, 30, 590, 8373, 368, 1335, 22968, 6589, 7036, 16528, 1003, 18, 28413, 1743, 651, 579, 1344, 18, 478, 563, 8590, 783, 470, 12837, 309, 12511, 30521, 26423, 27465, 5792, 16, 4116, 6261, 1580, 309, 12621, 1453, 29511, 553, 16, 961, 2504, 322, 1194, 397, 545, 21726, 25217, 18, 824, 13976, 309, 29986, 2069, 837, 5630, 13267, 396, 12644, 17, 41264, 572, 16469, 43566, 2217, 30307, 857, 349, 28589, 651, 2402, 2844, 31895, 13865, 10047, 4116, 13605, 7477, 266, 18, 37280, 572, 16, 1143, 20592, 309, 29630, 16, 12842, 3111, 290, 1190, 1205, 2158, 16, 785, 11891, 281, 30855, 505, 19071, 30733, 282, 25232, 848, 7964, 304, 15959, 18, 13758, 16469, 43566, 2217, 9601, 764, 282, 8311, 1045, 16, 785, 33256, 10729, 26142, 44573, 320, 15885, 22300, 33469, 451, 16604, 46539, 11210, 18, 817, 21924, 411, 6248, 1344, 10084, 510, 8578, 16, 37437, 22292, 47051, 303, 609, 647, 44628, 16, 1962, 434, 437, 24248, 1126, 853, 1347, 16, 5878, 2989, 29630, 16, 3243, 1231, 539, 281, 9146, 22799, 18, 824, 3163, 20193, 1887, 16, 16604, 8908, 11670, 45865, 749, 6226, 4827, 6876, 4733, 3080, 18, 2046, 481, 21783, 14426, 29657, 14371, 17926, 14826, 507, 18, 3510, 827, 16469, 43566, 2217, 510, 481, 2513, 3407, 4461, 16, 678, 322, 895, 13342, 1595, 29796, 749, 17964, 11967, 18, 385, 2184, 4906, 1518, 289, 14736, 367, 675, 4970, 313, 282, 17310, 5792, 2917, 9685, 416, 12526, 16, 541, 31077, 726, 1293, 986, 18, 365, 23445, 1293, 986, 20193, 572, 5931, 1195, 22570, 366, 4838, 12333, 382, 16, 289, 282, 5049, 1045, 9601, 505, 478, 404, 18077, 13713, 470, 18205, 18, 7909, 282, 6081, 1212, 15970, 17, 14099, 547, 474, 38279, 307, 5395, 13785, 424, 9444, 14682, 26785, 1312, 24955, 28930, 685, 6065, 43248, 18460, 17854, 16, 4604, 10977, 45865, 282, 19373, 26464, 473, 25807, 33233, 308, 682, 309, 4326, 33419, 266, 814, 4541, 41901, 33095, 8343, 887, 289, 282, 40610, 18, 385, 3734, 779, 282, 15284, 1302, 1366, 716, 12477, 87, 282, 7390, 5395, 5214, 3946, 6260, 5044, 424, 9444, 5409, 38861, 19192, 354, 13487, 15129, 16469, 43566, 2217, 18, 37280, 572, 16836, 13049, 282, 26742, 49923, 23830, 309, 13652, 49783, 14764, 741, 4330, 16, 29671, 5668, 874, 45865, 282, 11970, 4531, 1368, 957, 21322, 18, 14069, 3626, 35941, 5915, 4703, 3440, 16, 828, 282, 6081, 1212, 6662, 11153, 16, 515, 867, 322, 2619, 5063, 862, 16, 374, 678, 3523, 4416, 18, 478, 8244, 20142, 35498, 467, 4010, 17, 299, 14848, 399, 435, 16, 1215, 5548, 13241, 414, 5901, 281, 13794, 84, 44383, 18, 1606, 12486, 24552, 411, 4700, 17, 299, 9246, 40438, 289, 3857, 12486, 2710, 17, 299, 856, 10699, 7005, 16, 1373, 481, 7291, 478, 275, 18444, 564, 2764, 541, 34951, 432, 11587, 910, 510, 9848, 1655, 478, 46088, 18, 8381, 470, 6730, 281, 43805, 478, 511, 348, 2857, 7771, 470, 14182, 4651, 14331, 40610, 18, 5043, 16, 282, 20526, 10936, 40610, 17930, 4652, 290, 970, 575, 18, 478, 30787, 309, 502, 16, 374, 5981, 4090, 27417, 4202, 15825, 411, 20392, 31799, 11326, 576, 1269, 19220, 16, 1542, 44392, 15068, 322, 18649, 4700, 17, 3697, 38452, 431, 4486, 10445, 18, 365, 40610, 322, 7393, 1195, 9818, 355, 13794, 84, 44383, 910, 510, 17930, 282, 41278, 2437, 29997, 33293, 34668, 18, 3758, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 10882, 282, 19911, 304, 8267, 7561, 13613, 478, 672, 2334, 3949, 931, 397, 910, 42262, 2191, 13104 ]
[ 478, 26732, 884, 470, 334, 38396, 17793, 16, 16480, 48372, 281, 478, 684, 14716, 345, 861, 27751, 774, 282, 5271, 478, 16744, 770, 470, 17363, 9838, 10119, 2075, 1136, 2679, 397, 18, 31224, 30, 677, 10882, 16, 4055, 4160, 16, 41905, 16628, 43016, 9019, 38915, 16, 282, 2114, 478, 672, 2334, 3949, 931, 397, 910, 42262, 2191, 13104, 478, 26732, 884, 470, 334, 29536, 825, 1542, 864, 16180, 17793, 16, 840, 15707, 16607, 15185, 4027, 18, 365, 9220, 2529, 11258, 478, 672, 2334, 3949, 931, 397, 470, 322, 687, 17060, 19844, 19650, 7561, 13613, 16, 515, 289, 10587, 282, 2123, 17, 295, 445, 31911, 40791, 2553, 18, 832, 2619, 8103, 45284, 3216, 15464, 31121, 1133, 26070, 282, 6190, 43535, 1919, 18, 31440, 2117, 12935, 3405, 4160, 282, 28396, 2165, 18, 640, 26225, 26942, 14998, 648, 32618, 26942, 478, 16744, 839, 470, 21648, 1684, 18070, 7813, 2127, 478, 10594, 1569, 264, 470, 477, 12932, 491, 30, 20, 16, 1763, 743, 334, 45796, 282, 7252, 44056, 18, 19237, 758, 33689, 282, 803, 8267, 2401, 9528, 10056, 877, 10119, 289, 2075, 1136, 2679, 397, 18, 14427, 9680, 478, 672, 2334, 3949, 931, 4654, 910, 1651, 397, 2255, 412, 326, 562, 3215, 40476, 695, 46039, 16171, 1360, 4966, 322, 687, 309, 7365, 539, 18804, 282, 44275, 46881, 16, 515, 289, 282, 29437, 3216, 547, 19843, 478, 13762, 1136, 276, 861, 478, 677, 6104, 11258, 656, 21648, 6125, 7653, 18, 28023, 12727, 16, 5076, 334, 26246, 6281, 1833, 282, 1949, 47192, 18, 1345, 2702, 1904, 334, 35385, 282, 6190, 43535, 1919, 16, 2391, 417, 3893, 16, 374, 1299, 9553, 322, 687, 20225, 1595, 10645, 282, 6104, 11258, 16, 515, 289, 18150, 5910, 1161, 11918, 16180, 17793, 910, 510, 2815, 1188, 2411, 496, 7561, 43016, 9019, 38915, 2255, 412, 326, 562, 18, 4707, 8559, 400, 3589, 10242, 8300, 17799, 1326, 4045, 687, 29557, 15465, 4966, 22337, 8946, 379, 385, 711, 409, 18, 21529, 272, 35710, 764, 428, 8396, 36670, 5576, 16, 18, 25679, 4522, 1920, 1011, 17336, 16, 2588, 492, 3619, 282, 8267, 1279, 478, 10594, 1569, 264, 861, 740, 294, 4056, 9547, 282, 38396, 17793, 16, 2588, 478, 672, 2334, 3949, 931, 397, 470, 24905, 2418, 3597, 1279, 44432, 478, 39227, 318, 910, 24026, 726, 1943, 852, 7787, 18, 365, 5572, 28220, 9019, 38915, 1097, 22897, 3092, 4681, 10021, 271, 478, 684, 14716, 345, 910, 3227, 460, 1779, 9518, 5021, 19, 15853, 309, 2511, 17, 277, 2468, 18, 19770, 3583, 4732, 10927, 3215, 7556, 289, 726, 282, 20330, 464, 9838, 10119, 2075, 1136, 2679, 397, 23009, 28889, 4024, 18, 11566, 16, 374, 309, 29197, 452, 21166, 2497, 1651, 4654, 2255, 412, 326, 44930, 12699, 467, 35428, 10645, 16, 515, 1329, 10049, 322, 4243, 18, 24899, 322, 687, 322, 687, 13194, 414, 31160, 328, 21755, 16, 515, 289, 7737, 3221, 2795, 2948, 1833, 1011, 21842, 18, 22302, 272, 10551, 16, 15014, 1702, 3768, 45570, 4079, 13818, 16432, 18, 365, 13180, 1939, 17, 25822, 454, 2255, 412, 326, 562, 19346, 309, 4577, 10056, 877, 36528, 16, 37110, 5097, 289, 4084, 36528, 16, 9478, 10695, 743, 23478, 18, 740, 26403, 50172, 322, 18187, 18, 5333, 2175, 16, 35677, 14007, 13613, 12983, 32325, 2606, 726, 309, 46144, 4090, 8900, 18, 11333, 7036, 16180, 17793, 942, 5298, 1336, 18, 2, 1, 87, 1456, 81, 2448, 30, 23045, 1162, 20925, 1175, 334, 45305, 7170, 322, 46621, 537, 2059, 4623, 349, 1992, 5910, 1161, 11918, 7561, 5538, 334, 45305, 7170, 18, 27025, 11088, 1034, 379, 293, 12084, 47079, 7000, 701, 281, 1875, 4868, 24425, 16, 9248, 763, 289, 11254, 18, 2877, 9805, 12727, 8232, 1728, 21755, 334, 37131, 1918, 18, 31224, 30, 6889, 490, 5171, 282, 20735, 16628, 5538, 334, 45305, 7170, 541, 7342, 1175, 12543, 428, 2955, 1882, 18, 7824, 3050, 7193, 2553, 5915, 282, 37131, 962, 14452, 16, 43009, 309, 29536, 304, 10649, 10793, 6441, 2496, 1209, 2261, 6367, 32184, 2009, 33296, 18, 450, 2305, 324, 11088, 1034, 379, 293, 12084, 19121, 555, 1209, 32737, 281, 18583, 12932, 1658, 17, 20, 18, 22987, 7193, 30319, 16628, 5538, 2384, 1313, 477, 7342, 24425, 18, 1787, 1110, 16, 1085, 30312, 349, 45305, 10667, 16, 639, 6218, 16, 374, 282, 803, 35107, 840, 38346, 315, 7015, 1756, 282, 12445, 781, 18, 31995, 6773, 411, 11254, 289, 9248, 763, 16, 961, 1038, 11596, 282, 9404, 16, 23007, 289, 3513, 482, 582, 2661, 898, 14942, 1007, 294, 25883, 11178, 476, 2381, 18, 824, 2004, 382, 11854, 289, 26356, 1494, 29515, 13003, 1874, 5325, 7811, 289, 21279, 21672, 30841, 18, 996, 16, 282, 16876, 8267, 1251, 7396, 1875, 4868, 16, 1029, 12665, 309, 10649, 39209, 18389, 282, 20035, 16, 15014, 1741, 477, 12932, 491, 17, 20, 16, 515, 42262, 10587, 12436, 1558, 1907, 5790, 289, 24132, 9764, 510, 816, 17, 22, 18, 640, 8267, 28397, 7561, 30945, 13521, 1251, 3191, 758, 906, 687, 282, 4056, 4623, 16, 1586, 22588, 477, 12932, 2706, 30, 6091, 18, 365, 7252, 411, 26537, 4601, 291, 26062, 34463, 7739, 3033, 3440, 16, 828, 282, 44617, 30, 567, 7422, 12643, 304, 11274, 582, 48267, 3953, 9528, 1939, 46414, 16, 282, 15301, 8074, 326, 667, 18, 12824, 411, 14582, 3217, 5790, 1559, 6729, 8993, 1624, 1029, 42655, 1269, 26723, 7739, 3033, 1360, 8669, 416, 4674, 2607, 18, 31577, 2234, 10133, 20975, 329, 15803, 4059, 3340, 18, 15398, 475, 2993, 639, 8538, 764, 8622, 18, 31312, 42262, 510, 7193, 9248, 763, 322, 20949, 1188, 12793, 14452, 5564, 668, 3941, 16, 2686, 1177, 30639, 541, 11854, 4167, 16859, 4183, 18, 365, 5606, 1949, 10080, 292, 7193, 1034, 379, 293, 12084, 906, 25791, 3857, 8782, 10654, 1954, 18, 9248, 286, 873, 581, 4207, 16, 26062, 35331, 1166, 5199, 289, 282, 3560, 9258, 1815, 2083, 46466, 7081, 18, 13630, 18653, 1385, 281, 871, 7451, 349, 45809, 2706, 12994, 289, 41235, 282, 23386, 1715, 11888, 4177, 18, 34584, 10080, 1320, 28009, 24788, 18, 2046, 1293, 15406, 21755, 282, 9258, 1815, 2083, 20800, 7342, 1175, 25818, 10133, 43816, 281, 6127, 2509, 12932, 816, 17, 20, 473, 6462, 30, 4691, 16, 2555, 30, 6862, 16, 2706, 30, 5759, 814, 12167, 10133, 40406, 16423, 16, 428, 289, 32872, 16, 4167, 541, 11854, 3818, 20046, 18, 1178, 282, 5572, 281, 781, 745, 20800, 7342, 11254, 27714, 667, 12994, 16, 502, 10546, 10080, 22588, 726, 281, 16511, 2706, 30, 4234, 18, 640, 9837, 1119, 481, 3560, 16987, 16536, 309, 19843, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 26732, 884, 470, 334, 38396, 17793, 16, 16480, 48372, 281, 478, 684, 14716, 345, 861, 27751, 774, 282, 5271, 478, 16744, 770, 470, 17363, 9838, 10119, 2075, 1136, 2679, 397, 18, 31224, 30, 677, 10882, 16, 4055, 4160, 16, 41905, 16628, 43016, 9019, 38915, 16, 282, 2114, 478, 672, 2334, 3949, 931, 397, 910, 42262, 2191, 13104, 478, 26732, 884, 470, 334, 29536, 825, 1542, 864, 16180, 17793, 16, 840, 15707, 16607, 15185, 4027, 18, 365, 9220, 2529, 11258, 478, 672, 2334, 3949, 931, 397, 470, 322, 687, 17060, 19844, 19650, 7561, 13613, 16, 515, 289, 10587, 282, 2123, 17, 295, 445, 31911, 40791, 2553, 18, 832, 2619, 8103, 45284, 3216, 15464, 31121, 1133, 26070, 282, 6190, 43535, 1919, 18, 31440, 2117, 12935, 3405, 4160, 282, 28396, 2165, 18, 640, 26225, 26942, 14998, 648, 32618, 26942, 478, 16744, 839, 470, 21648, 1684, 18070, 7813, 2127, 478, 10594, 1569, 264, 470, 477, 12932, 491, 30, 20, 16, 1763, 743, 334, 45796, 282, 7252, 44056, 18, 19237, 758, 33689, 282, 803, 8267, 2401, 9528, 10056, 877, 10119, 289, 2075, 1136, 2679, 397, 18, 14427, 9680, 478, 672, 2334, 3949, 931, 4654, 910, 1651, 397, 2255, 412, 326, 562, 3215, 40476, 695, 46039, 16171, 1360, 4966, 322, 687, 309, 7365, 539, 18804, 282, 44275, 46881, 16, 515, 289, 282, 29437, 3216, 547, 19843, 478, 13762, 1136, 276, 861, 478, 677, 6104, 11258, 656, 21648, 6125, 7653, 18, 28023, 12727, 16, 5076, 334, 26246, 6281, 1833, 282, 1949, 47192, 18, 1345, 2702, 1904, 334, 35385, 282, 6190, 43535, 1919, 16, 2391, 417, 3893, 16, 374, 1299, 9553, 322, 687, 20225, 1595, 10645, 282, 6104, 11258, 16, 515, 289, 18150, 5910, 1161, 11918, 16180, 17793, 910, 510, 2815, 1188, 2411, 496, 7561, 43016, 9019, 38915, 2255, 412, 326, 562, 18, 4707, 8559, 400, 3589, 10242, 8300, 17799, 1326, 4045, 687, 29557, 15465, 4966, 22337, 8946, 379, 385, 711, 409, 18, 21529, 272, 35710, 764, 428, 8396, 36670, 5576, 16, 18, 25679, 4522, 1920, 1011, 17336, 16, 2588, 492, 3619, 282, 8267, 1279, 478, 10594, 1569, 264, 861, 740, 294, 4056, 9547, 282, 38396, 17793, 16, 2588, 478, 672, 2334, 3949, 931, 397, 470, 24905, 2418, 3597, 1279, 44432, 478, 39227, 318, 910, 24026, 726, 1943, 852, 7787, 18, 365, 5572, 28220, 9019, 38915, 1097, 22897, 3092, 4681, 10021, 271, 478, 684, 14716, 345, 910, 3227, 460, 1779, 9518, 5021, 19, 15853, 309, 2511, 17, 277, 2468, 18, 19770, 3583, 4732, 10927, 3215, 7556, 289, 726, 282, 20330, 464, 9838, 10119, 2075, 1136, 2679, 397, 23009, 28889, 4024, 18, 11566, 16, 374, 309, 29197, 452, 21166, 2497, 1651, 4654, 2255, 412, 326, 44930, 12699, 467, 35428, 10645, 16, 515, 1329, 10049, 322, 4243, 18, 24899, 322, 687, 322, 687, 13194, 414, 31160, 328, 21755, 16, 515, 289, 7737, 3221, 2795, 2948, 1833, 1011, 21842, 18, 22302, 272, 10551, 16, 15014, 1702, 3768, 45570, 4079, 13818, 16432, 18, 365, 13180, 1939, 17, 25822, 454, 2255, 412, 326, 562, 19346, 309, 4577, 10056, 877, 36528, 16, 37110, 5097, 289, 4084, 36528, 16, 9478, 10695, 743, 23478, 18, 740, 26403, 50172, 322, 18187, 18, 5333, 2175, 16, 35677, 14007, 13613, 12983, 32325, 2606, 726, 309, 46144, 4090, 8900, 18, 11333, 7036, 16180, 17793, 942, 5298, 1336, 18, 2, 1, 87, 1456, 81, 2448, 30, 23045, 1162, 20925, 1175, 334, 45305, 7170, 322, 46621, 537, 2059, 4623, 349, 1992, 5910, 1161, 11918, 7561, 5538, 334, 45305, 7170, 18, 27025, 11088, 1034, 379, 293, 12084, 47079, 7000, 701, 281, 1875, 4868, 24425, 16, 9248, 763, 289, 11254, 18, 2877, 9805, 12727, 8232, 1728, 21755, 334, 37131, 1918, 18, 31224, 30, 6889, 490, 5171, 282, 20735, 16628, 5538, 334, 45305, 7170, 541, 7342, 1175, 12543, 428, 2955, 1882, 18, 7824, 3050, 7193, 2553, 5915, 282, 37131, 962, 14452, 16, 43009, 309, 29536, 304, 10649, 10793, 6441, 2496, 1209, 2261, 6367, 32184, 2009, 33296, 18, 450, 2305, 324, 11088, 1034, 379, 293, 12084, 19121, 555, 1209, 32737, 281, 18583, 12932, 1658, 17, 20, 18, 22987, 7193, 30319, 16628, 5538, 2384, 1313, 477, 7342, 24425, 18, 1787, 1110, 16, 1085, 30312, 349, 45305, 10667, 16, 639, 6218, 16, 374, 282, 803, 35107, 840, 38346, 315, 7015, 1756, 282, 12445, 781, 18, 31995, 6773, 411, 11254, 289, 9248, 763, 16, 961, 1038, 11596, 282, 9404, 16, 23007, 289, 3513, 482, 582, 2661, 898, 14942, 1007, 294, 25883, 11178, 476, 2381, 18, 824, 2004, 382, 11854, 289, 26356, 1494, 29515, 13003, 1874, 5325, 7811, 289, 21279, 21672, 30841, 18, 996, 16, 282, 16876, 8267, 1251, 7396, 1875, 4868, 16, 1029, 12665, 309, 10649, 39209, 18389, 282, 20035, 16, 15014, 1741, 477, 12932, 491, 17, 20, 16, 515, 42262, 10587, 12436, 1558, 1907, 5790, 289, 24132, 9764, 510, 816, 17, 22, 18, 640, 8267, 28397, 7561, 30945, 13521, 1251, 3191, 758, 906, 687, 282, 4056, 4623, 16, 1586, 22588, 477, 12932, 2706, 30, 6091, 18, 365, 7252, 411, 26537, 4601, 291, 26062, 34463, 7739, 3033, 3440, 16, 828, 282, 44617, 30, 567, 7422, 12643, 304, 11274, 582, 48267, 3953, 9528, 1939, 46414, 16, 282, 15301, 8074, 326, 667, 18, 12824, 411, 14582, 3217, 5790, 1559, 6729, 8993, 1624, 1029, 42655, 1269, 26723, 7739, 3033, 1360, 8669, 416, 4674, 2607, 18, 31577, 2234, 10133, 20975, 329, 15803, 4059, 3340, 18, 15398, 475, 2993, 639, 8538, 764, 8622, 18, 31312, 42262, 510, 7193, 9248, 763, 322, 20949, 1188, 12793, 14452, 5564, 668, 3941, 16, 2686, 1177, 30639, 541, 11854, 4167, 16859, 4183, 18, 365, 5606, 1949, 10080, 292, 7193, 1034, 379, 293, 12084, 906, 25791, 3857, 8782, 10654, 1954, 18, 9248, 286, 873, 581, 4207, 16, 26062, 35331, 1166, 5199, 289, 282, 3560, 9258, 1815, 2083, 46466, 7081, 18, 13630, 18653, 1385, 281, 871, 7451, 349, 45809, 2706, 12994, 289, 41235, 282, 23386, 1715, 11888, 4177, 18, 34584, 10080, 1320, 28009, 24788, 18, 2046, 1293, 15406, 21755, 282, 9258, 1815, 2083, 20800, 7342, 1175, 25818, 10133, 43816, 281, 6127, 2509, 12932, 816, 17, 20, 473, 6462, 30, 4691, 16, 2555, 30, 6862, 16, 2706, 30, 5759, 814, 12167, 10133, 40406, 16423, 16, 428, 289, 32872, 16, 4167, 541, 11854, 3818, 20046, 18, 1178, 282, 5572, 281, 781, 745, 20800, 7342, 11254, 27714, 667, 12994, 16, 502, 10546, 10080, 22588, 726, 281, 16511, 2706, 30, 4234, 18, 640, 9837, 1119, 481, 3560, 16987, 16536, 309, 19843, 18 ]
[ 365, 15301, 281, 781, 12727, 1034, 379, 293, 12084, 15272, 1190, 2500, 26753, 16, 367, 8814, 873, 35027, 1375, 894, 289, 3895, 322, 1103, 21894, 30639, 18, 2046, 16797, 1633, 3384, 2117, 4059, 3340, 16, 1029, 5662, 271, 282, 5462, 582, 1421, 26654, 9410, 16, 18649, 18952, 2986, 8955, 282, 3437, 10080, 292, 18, 14427, 9680, 16732, 7342, 1175, 4210, 1034, 379, 293, 1051, 1011, 978, 7977, 17684, 2019, 4966, 282, 430, 19, 24, 21451, 18, 478, 8706, 16346, 6547, 502, 16, 374, 289, 2125, 898, 16, 289, 35293, 477, 12932, 816, 30, 20, 18, 629, 4263, 9700, 867, 48140, 16, 961, 322, 21857, 309, 20118, 282, 19163, 21273, 18, 629, 2060, 16, 309, 374, 745, 10432, 289, 1085, 895, 18908, 282, 14183, 38369, 18, 1345, 5684, 1269, 3352, 16, 1586, 6721, 1299, 8659, 2452, 309, 5421, 10133, 18, 608, 813, 840, 1272, 2299, 309, 16129, 294, 37131, 1918, 18, 889, 840, 764, 939, 45735, 10133, 16, 281, 5045, 373, 537, 3711, 6281, 910, 510, 7332, 1694, 1034, 379, 293, 12084, 12117, 4788, 14452, 18, 34165, 349, 2019, 282, 23708, 300, 20925, 1175, 24905, 5741, 4160, 18, 25740, 4419, 840, 6497, 722, 42262, 334, 2856, 12496, 454, 510, 282, 430, 19, 28, 21451, 6280, 467, 4966, 15500, 289, 9248, 763, 18, 12280, 8097, 16, 374, 309, 44617, 12013, 5538, 16, 1029, 14366, 282, 24425, 289, 9893, 16, 26062, 1038, 11623, 19425, 7015, 1756, 282, 8933, 16, 2686, 282, 37131, 962, 6054, 329, 7367, 50172, 14452, 281, 439, 10089, 3141, 718, 25088, 477, 12932, 2239, 17, 23, 18, 6234, 3844, 2774, 6769, 519, 4319, 1326, 282, 5806, 5781, 19532, 16355, 1356, 18, 996, 16, 4960, 7342, 12055, 19859, 343, 4725, 16, 374, 7193, 5824, 341, 16837, 1333, 16, 753, 6295, 322, 6075, 701, 18, 478, 4348, 38832, 10408, 290, 6104, 12013, 5538, 18, 3397, 656, 5358, 339, 282, 20735, 289, 726, 23863, 519, 37131, 455, 18, 629, 685, 34698, 1390, 289, 322, 2564, 23683, 309, 25988, 962, 28670, 7671, 282, 5455, 523, 263, 16, 2391, 322, 2060, 16, 1085, 7081, 30, 30275, 670, 9248, 427, 18, 1345, 2125, 18908, 309, 939, 12896, 5066, 16, 753, 9422, 9792, 18, 629, 11503, 965, 1904, 16, 475, 3419, 334, 22623, 910, 510, 2815, 19859, 343, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 29051, 6961, 7928, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 45827, 8729, 1011, 924, 16, 428, 4770, 21897, 768, 397, 307, 421, 31500, 947, 2815, 16, 374, 15279, 8593, 329, 2891, 519, 37965, 10144, 282, 11130, 4440, 779, 16, 9541, 17, 22079, 415, 3852, 48503, 1496, 12679, 281, 29582, 290, 505, 31330, 18, 48503, 1496, 16, 2686, 16, 322, 4445, 309, 965, 22141, 6677, 4000, 510, 1055, 5494, 282, 4008, 23736, 294, 19336, 18, 31224, 30, 21116, 800, 17, 22079, 21897, 415, 3852, 48503, 1496, 16, 30543, 309, 26219, 17565, 16, 2815, 16, 374, 4770, 2553, 768, 397, 307, 421, 31500, 947, 7777, 282, 16294, 289, 13598, 5494, 4257, 18, 9920, 28923, 3412, 16805, 16, 6612, 4749, 18804, 9541, 17, 40000, 309, 15615, 6394, 1241, 1592, 16, 23581, 505, 1694, 449, 7237, 29534, 18, 985, 3828, 48503, 1496, 16, 421, 31500, 947, 13598, 5494, 15810, 1147, 27741, 4257, 21897, 424, 9444, 9362, 7225, 47635, 35945, 38324, 355, 324, 457, 3150, 272, 265, 18, 9230, 3059, 24687, 567, 2252, 547, 21989, 583, 48503, 1496, 16, 492, 322, 3828, 18, 985, 3828, 9577, 1918, 3783, 28811, 77, 17467, 5854, 7067, 16, 282, 10264, 808, 840, 29128, 290, 2097, 436, 272, 2557, 11919, 289, 5439, 18, 1591, 1453, 12002, 16, 374, 6244, 9229, 294, 24889, 19297, 27414, 12128, 5862, 1551, 21897, 18, 3739, 282, 11946, 12749, 322, 33303, 23614, 2900, 3281, 6059, 18, 20346, 5475, 36992, 32806, 37386, 18964, 18804, 768, 397, 307, 421, 643, 2025, 343, 282, 24167, 17130, 18, 46905, 309, 6394, 457, 1408, 312, 269, 906, 733, 13027, 262, 894, 798, 1629, 4869, 6684, 16, 374, 282, 3177, 23479, 421, 31500, 947, 478, 560, 911, 3213, 475, 5693, 910, 7265, 411, 1639, 685, 505, 8549, 11267, 3554, 281, 5174, 4830, 18, 2046, 282, 1360, 8180, 421, 31500, 947, 16, 6891, 16, 2815, 16, 374, 15279, 8593, 329, 2891, 519, 6175, 16, 1055, 37850, 45296, 322, 387, 43404, 505, 21121, 837, 282, 11130, 4440, 779, 18, 817, 11661, 16, 374, 583, 322, 840, 12570, 282, 10296, 289, 322, 4369, 13617, 8465, 1728, 5794, 19447, 12169, 18, 817, 1109, 687, 16, 374, 5923, 2301, 1634, 19750, 473, 404, 5542, 6954, 16, 2710, 1717, 13, 9541, 17, 27394, 6137, 16, 1573, 6546, 15168, 415, 429, 344, 48503, 22875, 1624, 367, 39225, 2309, 668, 22447, 2891, 1747, 9637, 18, 4756, 39533, 2172, 16521, 1333, 567, 7410, 281, 25189, 7225, 6118, 17, 37521, 3852, 301, 5325, 457, 3150, 272, 265, 19060, 309, 14777, 36412, 24252, 16, 18147, 3664, 965, 478, 486, 616, 496, 3623, 2553, 861, 23656, 7067, 19341, 281, 29582, 16, 374, 6354, 26581, 2555, 17, 1123, 968, 8169, 539, 5510, 16, 289, 45950, 37850, 29626, 6273, 294, 23691, 1354, 289, 26236, 294, 5748, 2381, 16, 1568, 622, 289, 48504, 5090, 1639, 10169, 27415, 18, 17479, 45599, 6684, 9416, 4110, 34962, 309, 6394, 30, 334, 8331, 16, 745, 6539, 326, 10744, 421, 643, 2025, 343, 290, 5941, 3986, 7880, 3465, 3707, 24630, 831, 289, 31988, 289, 478, 551, 3124, 309, 2768, 861, 17444, 2016, 906, 3696, 2773, 478, 822, 1555, 396, 23502, 861, 4707, 6809, 783, 30982, 16794, 309, 7626, 21061, 933, 8775, 1939, 5752, 1135, 18, 2046, 1992, 1119, 17359, 24118, 3920, 906, 6327, 267, 1214, 18, 824, 17, 11863, 13510, 13698, 7626, 1241, 1592, 16, 2215, 950, 289, 1888, 21061, 933, 8775, 2458, 687, 1011, 3696, 2431, 290, 23838, 44774, 48503, 5687, 309, 26219, 38246, 18, 3739, 10552, 12522, 421, 643, 2025, 343, 6605, 5825, 16, 374, 4770, 14084, 1241, 1395, 16, 15952, 512, 1974, 477, 1360, 18283, 282, 11442, 277, 17, 19324, 17, 1464, 355, 292, 18, 1598, 2074, 263, 16, 374, 5037, 4000, 14084, 18168, 16, 5957, 23051, 9637, 289, 558, 4258, 441, 1846, 873, 421, 643, 2025, 343, 18, 39693, 421, 643, 2025, 343, 4821, 324, 18, 20346, 492, 294, 7831, 19131, 3792, 16, 374, 322, 50234, 3059, 4830, 289, 322, 329, 12788, 411, 21897, 18499, 18, 1591 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 365, 15301, 281, 781, 12727, 1034, 379, 293, 12084, 15272, 1190, 2500, 26753, 16, 367, 8814, 873, 35027, 1375, 894, 289, 3895, 322, 1103, 21894, 30639, 18, 2046, 16797, 1633, 3384, 2117, 4059, 3340, 16, 1029, 5662, 271, 282, 5462, 582, 1421, 26654, 9410, 16, 18649, 18952, 2986, 8955, 282, 3437, 10080, 292, 18, 14427, 9680, 16732, 7342, 1175, 4210, 1034, 379, 293, 1051, 1011, 978, 7977, 17684, 2019, 4966, 282, 430, 19, 24, 21451, 18, 478, 8706, 16346, 6547, 502, 16, 374, 289, 2125, 898, 16, 289, 35293, 477, 12932, 816, 30, 20, 18, 629, 4263, 9700, 867, 48140, 16, 961, 322, 21857, 309, 20118, 282, 19163, 21273, 18, 629, 2060, 16, 309, 374, 745, 10432, 289, 1085, 895, 18908, 282, 14183, 38369, 18, 1345, 5684, 1269, 3352, 16, 1586, 6721, 1299, 8659, 2452, 309, 5421, 10133, 18, 608, 813, 840, 1272, 2299, 309, 16129, 294, 37131, 1918, 18, 889, 840, 764, 939, 45735, 10133, 16, 281, 5045, 373, 537, 3711, 6281, 910, 510, 7332, 1694, 1034, 379, 293, 12084, 12117, 4788, 14452, 18, 34165, 349, 2019, 282, 23708, 300, 20925, 1175, 24905, 5741, 4160, 18, 25740, 4419, 840, 6497, 722, 42262, 334, 2856, 12496, 454, 510, 282, 430, 19, 28, 21451, 6280, 467, 4966, 15500, 289, 9248, 763, 18, 12280, 8097, 16, 374, 309, 44617, 12013, 5538, 16, 1029, 14366, 282, 24425, 289, 9893, 16, 26062, 1038, 11623, 19425, 7015, 1756, 282, 8933, 16, 2686, 282, 37131, 962, 6054, 329, 7367, 50172, 14452, 281, 439, 10089, 3141, 718, 25088, 477, 12932, 2239, 17, 23, 18, 6234, 3844, 2774, 6769, 519, 4319, 1326, 282, 5806, 5781, 19532, 16355, 1356, 18, 996, 16, 4960, 7342, 12055, 19859, 343, 4725, 16, 374, 7193, 5824, 341, 16837, 1333, 16, 753, 6295, 322, 6075, 701, 18, 478, 4348, 38832, 10408, 290, 6104, 12013, 5538, 18, 3397, 656, 5358, 339, 282, 20735, 289, 726, 23863, 519, 37131, 455, 18, 629, 685, 34698, 1390, 289, 322, 2564, 23683, 309, 25988, 962, 28670, 7671, 282, 5455, 523, 263, 16, 2391, 322, 2060, 16, 1085, 7081, 30, 30275, 670, 9248, 427, 18, 1345, 2125, 18908, 309, 939, 12896, 5066, 16, 753, 9422, 9792, 18, 629, 11503, 965, 1904, 16, 475, 3419, 334, 22623, 910, 510, 2815, 19859, 343, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 29051, 6961, 7928, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 45827, 8729, 1011, 924, 16, 428, 4770, 21897, 768, 397, 307, 421, 31500, 947, 2815, 16, 374, 15279, 8593, 329, 2891, 519, 37965, 10144, 282, 11130, 4440, 779, 16, 9541, 17, 22079, 415, 3852, 48503, 1496, 12679, 281, 29582, 290, 505, 31330, 18, 48503, 1496, 16, 2686, 16, 322, 4445, 309, 965, 22141, 6677, 4000, 510, 1055, 5494, 282, 4008, 23736, 294, 19336, 18, 31224, 30, 21116, 800, 17, 22079, 21897, 415, 3852, 48503, 1496, 16, 30543, 309, 26219, 17565, 16, 2815, 16, 374, 4770, 2553, 768, 397, 307, 421, 31500, 947, 7777, 282, 16294, 289, 13598, 5494, 4257, 18, 9920, 28923, 3412, 16805, 16, 6612, 4749, 18804, 9541, 17, 40000, 309, 15615, 6394, 1241, 1592, 16, 23581, 505, 1694, 449, 7237, 29534, 18, 985, 3828, 48503, 1496, 16, 421, 31500, 947, 13598, 5494, 15810, 1147, 27741, 4257, 21897, 424, 9444, 9362, 7225, 47635, 35945, 38324, 355, 324, 457, 3150, 272, 265, 18, 9230, 3059, 24687, 567, 2252, 547, 21989, 583, 48503, 1496, 16, 492, 322, 3828, 18, 985, 3828, 9577, 1918, 3783, 28811, 77, 17467, 5854, 7067, 16, 282, 10264, 808, 840, 29128, 290, 2097, 436, 272, 2557, 11919, 289, 5439, 18, 1591, 1453, 12002, 16, 374, 6244, 9229, 294, 24889, 19297, 27414, 12128, 5862, 1551, 21897, 18, 3739, 282, 11946, 12749, 322, 33303, 23614, 2900, 3281, 6059, 18, 20346, 5475, 36992, 32806, 37386, 18964, 18804, 768, 397, 307, 421, 643, 2025, 343, 282, 24167, 17130, 18, 46905, 309, 6394, 457, 1408, 312, 269, 906, 733, 13027, 262, 894, 798, 1629, 4869, 6684, 16, 374, 282, 3177, 23479, 421, 31500, 947, 478, 560, 911, 3213, 475, 5693, 910, 7265, 411, 1639, 685, 505, 8549, 11267, 3554, 281, 5174, 4830, 18, 2046, 282, 1360, 8180, 421, 31500, 947, 16, 6891, 16, 2815, 16, 374, 15279, 8593, 329, 2891, 519, 6175, 16, 1055, 37850, 45296, 322, 387, 43404, 505, 21121, 837, 282, 11130, 4440, 779, 18, 817, 11661, 16, 374, 583, 322, 840, 12570, 282, 10296, 289, 322, 4369, 13617, 8465, 1728, 5794, 19447, 12169, 18, 817, 1109, 687, 16, 374, 5923, 2301, 1634, 19750, 473, 404, 5542, 6954, 16, 2710, 1717, 13, 9541, 17, 27394, 6137, 16, 1573, 6546, 15168, 415, 429, 344, 48503, 22875, 1624, 367, 39225, 2309, 668, 22447, 2891, 1747, 9637, 18, 4756, 39533, 2172, 16521, 1333, 567, 7410, 281, 25189, 7225, 6118, 17, 37521, 3852, 301, 5325, 457, 3150, 272, 265, 19060, 309, 14777, 36412, 24252, 16, 18147, 3664, 965, 478, 486, 616, 496, 3623, 2553, 861, 23656, 7067, 19341, 281, 29582, 16, 374, 6354, 26581, 2555, 17, 1123, 968, 8169, 539, 5510, 16, 289, 45950, 37850, 29626, 6273, 294, 23691, 1354, 289, 26236, 294, 5748, 2381, 16, 1568, 622, 289, 48504, 5090, 1639, 10169, 27415, 18, 17479, 45599, 6684, 9416, 4110, 34962, 309, 6394, 30, 334, 8331, 16, 745, 6539, 326, 10744, 421, 643, 2025, 343, 290, 5941, 3986, 7880, 3465, 3707, 24630, 831, 289, 31988, 289, 478, 551, 3124, 309, 2768, 861, 17444, 2016, 906, 3696, 2773, 478, 822, 1555, 396, 23502, 861, 4707, 6809, 783, 30982, 16794, 309, 7626, 21061, 933, 8775, 1939, 5752, 1135, 18, 2046, 1992, 1119, 17359, 24118, 3920, 906, 6327, 267, 1214, 18, 824, 17, 11863, 13510, 13698, 7626, 1241, 1592, 16, 2215, 950, 289, 1888, 21061, 933, 8775, 2458, 687, 1011, 3696, 2431, 290, 23838, 44774, 48503, 5687, 309, 26219, 38246, 18, 3739, 10552, 12522, 421, 643, 2025, 343, 6605, 5825, 16, 374, 4770, 14084, 1241, 1395, 16, 15952, 512, 1974, 477, 1360, 18283, 282, 11442, 277, 17, 19324, 17, 1464, 355, 292, 18, 1598, 2074, 263, 16, 374, 5037, 4000, 14084, 18168, 16, 5957, 23051, 9637, 289, 558, 4258, 441, 1846, 873, 421, 643, 2025, 343, 18, 39693, 421, 643, 2025, 343, 4821, 324, 18, 20346, 492, 294, 7831, 19131, 3792, 16, 374, 322, 50234, 3059, 4830, 289, 322, 329, 12788, 411, 21897, 18499, 18, 1591 ]
[ 1453, 322, 6442, 290, 2468, 505, 29415, 18, 7669, 346, 15465, 329, 21061, 680, 17344, 1003, 18, 1591, 1453, 3085, 9529, 13550, 326, 5131, 567, 808, 38395, 16, 14361, 24877, 282, 1617, 2038, 687, 1011, 8132, 1489, 421, 643, 2025, 343, 18, 9300, 277, 1398, 2252, 536, 18813, 4000, 1559, 30667, 5037, 9322, 7067, 6118, 17, 37521, 3852, 7791, 47635, 15508, 457, 3150, 272, 265, 18, 817, 289, 3255, 685, 3348, 411, 3322, 46018, 10279, 282, 44744, 21897, 18, 365, 16876, 5271, 14050, 421, 643, 2025, 343, 492, 17455, 3059, 9362, 7225, 289, 9541, 17, 293, 30557, 18, 2320, 36516, 282, 25546, 5736, 373, 23697, 36516, 11809, 2080, 546, 431, 421, 897, 441, 287, 2503, 282, 27106, 10731, 18, 1303, 16, 9705, 16, 5917, 360, 16523, 16, 2588, 387, 43404, 9637, 567, 7410, 281, 457, 3150, 272, 265, 18, 17935, 4905, 23817, 424, 1247, 17488, 415, 22218, 48503, 5687, 16, 1029, 1038, 757, 4693, 282, 1617, 2038, 5494, 519, 5743, 10144, 282, 11130, 18, 3863, 21113, 7556, 13303, 17451, 39667, 18, 1268, 36470, 32781, 15905, 30439, 16, 492, 25512, 21061, 2127, 30382, 281, 11525, 779, 289, 685, 13334, 29076, 12502, 323, 1273, 33254, 10127, 11571, 10184, 478, 314, 966, 411, 3322, 46018, 22186, 1970, 2422, 861, 39596, 11840, 536, 16, 334, 4734, 14971, 16, 757, 1852, 6029, 281, 28742, 21061, 718, 478, 2042, 2445, 264, 470, 510, 478, 40000, 17, 11393, 3444, 910, 284, 27599, 718, 1927, 272, 2857, 289, 11350, 17, 33179, 22880, 1009, 9899, 1605, 47635, 35945, 3766, 17, 983, 2025, 476, 265, 16, 289, 505, 475, 27438, 434, 9541, 17, 40000, 16, 3279, 895, 1852, 48503, 1496, 670, 1085, 17, 299, 411, 39877, 18, 478, 3096, 3984, 6426, 20457, 30, 13641, 21897, 510, 481, 18875, 755, 778, 3672, 16, 289, 639, 373, 1882, 16, 827, 373, 1177, 3672, 685, 1405, 1703, 910, 510, 23751, 12189, 17461, 41470, 16400, 4210, 11876, 607, 5881, 18, 365, 1405, 1212, 8448, 15459, 19356, 46924, 1871, 14298, 18, 889, 726, 10048, 14259, 8851, 5037, 22880, 1009, 9899, 1605, 47635, 15508, 3766, 17, 983, 2025, 476, 265, 16, 35474, 282, 6982, 1045, 35361, 2127, 21901, 2422, 16, 289, 5222, 4623, 478, 13945, 17, 1009, 1117, 470, 7070, 1496, 28911, 18, 4579, 17, 983, 2025, 476, 265, 16, 6312, 8694, 1269, 986, 349, 19077, 473, 964, 6956, 289, 1314, 7118, 282, 38891, 347, 482, 934, 18704, 39268, 428, 4200, 333, 30, 492, 2410, 6970, 289, 334, 17, 14099, 1147, 19997, 286, 18, 3557, 322, 2619, 16, 32193, 309, 20017, 411, 22256, 10552, 2742, 11400, 19762, 16, 3766, 17, 983, 2025, 476, 265, 2564, 349, 2948, 1728, 12672, 40043, 871, 43381, 7824, 4314, 15466, 1066, 349, 24423, 18, 740, 282, 26724, 17758, 492, 26754, 8465, 322, 13694, 16, 309, 6394, 457, 1408, 312, 269, 505, 322, 6418, 18, 28911, 685, 7265, 21680, 5349, 421, 643, 2025, 343, 309, 37965, 10296, 6982, 779, 16, 971, 45522, 294, 17288, 1147, 3017, 272, 334, 35491, 282, 22005, 16, 367, 282, 5021, 13795, 286, 424, 23057, 12672, 15948, 18, 28911, 478, 600, 2037, 1595, 470, 541, 21061, 680, 6569, 16, 374, 16311, 37850, 29626, 24693, 282, 505, 10035, 4648, 412, 2362, 617, 18, 478, 630, 807, 745, 322, 8070, 12599, 281, 21285, 16, 510, 12698, 11876, 607, 5881, 18, 510, 6644, 411, 1129, 16, 371, 488, 492, 294, 2891, 16, 1248, 13591, 840, 13334, 478, 8108, 22288, 9377, 910, 785, 1188, 4770, 1703, 4009, 5411, 14923, 847, 16805, 2178, 1643, 16, 3279, 745, 322, 8070, 1329, 8055, 861, 3739, 1176, 20276, 451, 1405, 778, 16555, 510, 8851, 5037, 21770, 4529, 289, 30667, 5037, 16180, 41963, 10263, 9027, 269, 421, 6041, 18, 817, 726, 2815, 16, 374, 322, 33201, 8465, 282, 10296, 16, 1830, 329, 421, 14079, 41014, 3848, 851, 332, 7385, 20449, 18, 7100, 16, 3872, 7514, 536, 5702, 289, 2270, 294, 2891, 19276, 718, 20449, 18, 26605, 20276, 549, 8448, 9383, 16, 4410, 289, 334, 17, 6093, 4092, 17196, 16, 10080, 478, 983, 35226, 17, 32512, 10987, 263, 861, 25582, 31408, 21340, 4623, 1559, 47635, 15508, 3495, 488, 16, 1029, 1055, 322, 27834, 290, 3177, 45799, 13898, 5487, 5703, 289, 935, 31725, 3333, 12182, 1405, 718, 11268, 3766, 17, 983, 2025, 476, 265, 18, 3557, 322, 2619, 17959, 3495, 488, 282, 1750, 2742, 22323, 5019, 30584, 16249, 17648, 324, 18, 44510, 1502, 575, 21546, 294, 2891, 478, 983, 4706, 512, 17, 32512, 10987, 470, 8503, 3818, 34664, 1116, 289, 15708, 6832, 428, 541, 16101, 16, 453, 289, 541, 16145, 18, 478, 983, 35226, 17, 32512, 10987, 263, 470, 10469, 23683, 281, 29582, 16, 282, 2114, 15684, 1119, 40483, 421, 643, 2025, 343, 478, 280, 1555, 9764, 1223, 21061, 718, 5478, 861, 1367, 803, 21408, 2815, 8851, 5222, 12760, 680, 22519, 478, 983, 4706, 512, 470, 47635, 15508, 3766, 17, 684, 3997, 266, 307, 18, 26244, 266, 307, 289, 475, 505, 5020, 662, 11272, 5606, 10945, 360, 15678, 9322, 7067, 16, 1029, 21194, 9770, 282, 4008, 18, 4429, 339, 2409, 421, 643, 2025, 343, 895, 1852, 687, 12681, 670, 35014, 11267, 19336, 16555, 16, 3893, 11876, 607, 5881, 16, 935, 827, 773, 4040, 37973, 451, 3766, 17, 983, 2025, 476, 265, 18, 740, 282, 6449, 1750, 31532, 12513, 1183, 34386, 15660, 18, 478, 682, 4593, 4830, 4010, 17, 299, 808, 1747, 14316, 309, 4082, 16, 367, 971, 34150, 16, 374, 3860, 10387, 322, 302, 9446, 16, 374, 5906, 1512, 475, 3066, 8391, 349, 38619, 38703, 18, 3529, 281, 1498, 3892, 530, 428, 281, 421, 643, 2025, 635, 910, 510, 5273, 11876, 607, 5881, 18, 385, 4111, 2891, 6769, 4783, 266, 6688, 478, 983, 4706, 512, 17, 32512, 10987, 910, 23751, 492, 18, 1178, 745, 1747, 12570, 282, 10296, 16, 502, 6769, 6539, 266, 1595, 10645, 6982, 779, 16, 785, 745, 5684, 2364, 1939, 9, 30430, 712, 18, 385, 1498, 12557, 6548, 22881, 14331, 17461, 6571, 7234, 289, 10830, 7080, 19287, 9746, 778, 510, 478, 275, 25546, 8524, 15077, 360, 1631, 16, 515, 3860, 10387, 322, 302, 9446, 861, 824, 505, 3163, 16, 3554, 421, 643, 2025, 343, 281, 5174, 4830, 510, 22211, 924, 16, 374, 478, 406, 18124, 3637, 9637, 16, 961, 322, 3005, 11721, 16, 753, 37898, 1759, 4461, 861, 478, 7306, 21953, 510, 6548, 17704, 282, 4008, 16, 289, 827, 4461, 15638, 1344, 16, 502, 13525, 802, 475, 697, 2770, 22490, 20232, 917, 16, 510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1453, 322, 6442, 290, 2468, 505, 29415, 18, 7669, 346, 15465, 329, 21061, 680, 17344, 1003, 18, 1591, 1453, 3085, 9529, 13550, 326, 5131, 567, 808, 38395, 16, 14361, 24877, 282, 1617, 2038, 687, 1011, 8132, 1489, 421, 643, 2025, 343, 18, 9300, 277, 1398, 2252, 536, 18813, 4000, 1559, 30667, 5037, 9322, 7067, 6118, 17, 37521, 3852, 7791, 47635, 15508, 457, 3150, 272, 265, 18, 817, 289, 3255, 685, 3348, 411, 3322, 46018, 10279, 282, 44744, 21897, 18, 365, 16876, 5271, 14050, 421, 643, 2025, 343, 492, 17455, 3059, 9362, 7225, 289, 9541, 17, 293, 30557, 18, 2320, 36516, 282, 25546, 5736, 373, 23697, 36516, 11809, 2080, 546, 431, 421, 897, 441, 287, 2503, 282, 27106, 10731, 18, 1303, 16, 9705, 16, 5917, 360, 16523, 16, 2588, 387, 43404, 9637, 567, 7410, 281, 457, 3150, 272, 265, 18, 17935, 4905, 23817, 424, 1247, 17488, 415, 22218, 48503, 5687, 16, 1029, 1038, 757, 4693, 282, 1617, 2038, 5494, 519, 5743, 10144, 282, 11130, 18, 3863, 21113, 7556, 13303, 17451, 39667, 18, 1268, 36470, 32781, 15905, 30439, 16, 492, 25512, 21061, 2127, 30382, 281, 11525, 779, 289, 685, 13334, 29076, 12502, 323, 1273, 33254, 10127, 11571, 10184, 478, 314, 966, 411, 3322, 46018, 22186, 1970, 2422, 861, 39596, 11840, 536, 16, 334, 4734, 14971, 16, 757, 1852, 6029, 281, 28742, 21061, 718, 478, 2042, 2445, 264, 470, 510, 478, 40000, 17, 11393, 3444, 910, 284, 27599, 718, 1927, 272, 2857, 289, 11350, 17, 33179, 22880, 1009, 9899, 1605, 47635, 35945, 3766, 17, 983, 2025, 476, 265, 16, 289, 505, 475, 27438, 434, 9541, 17, 40000, 16, 3279, 895, 1852, 48503, 1496, 670, 1085, 17, 299, 411, 39877, 18, 478, 3096, 3984, 6426, 20457, 30, 13641, 21897, 510, 481, 18875, 755, 778, 3672, 16, 289, 639, 373, 1882, 16, 827, 373, 1177, 3672, 685, 1405, 1703, 910, 510, 23751, 12189, 17461, 41470, 16400, 4210, 11876, 607, 5881, 18, 365, 1405, 1212, 8448, 15459, 19356, 46924, 1871, 14298, 18, 889, 726, 10048, 14259, 8851, 5037, 22880, 1009, 9899, 1605, 47635, 15508, 3766, 17, 983, 2025, 476, 265, 16, 35474, 282, 6982, 1045, 35361, 2127, 21901, 2422, 16, 289, 5222, 4623, 478, 13945, 17, 1009, 1117, 470, 7070, 1496, 28911, 18, 4579, 17, 983, 2025, 476, 265, 16, 6312, 8694, 1269, 986, 349, 19077, 473, 964, 6956, 289, 1314, 7118, 282, 38891, 347, 482, 934, 18704, 39268, 428, 4200, 333, 30, 492, 2410, 6970, 289, 334, 17, 14099, 1147, 19997, 286, 18, 3557, 322, 2619, 16, 32193, 309, 20017, 411, 22256, 10552, 2742, 11400, 19762, 16, 3766, 17, 983, 2025, 476, 265, 2564, 349, 2948, 1728, 12672, 40043, 871, 43381, 7824, 4314, 15466, 1066, 349, 24423, 18, 740, 282, 26724, 17758, 492, 26754, 8465, 322, 13694, 16, 309, 6394, 457, 1408, 312, 269, 505, 322, 6418, 18, 28911, 685, 7265, 21680, 5349, 421, 643, 2025, 343, 309, 37965, 10296, 6982, 779, 16, 971, 45522, 294, 17288, 1147, 3017, 272, 334, 35491, 282, 22005, 16, 367, 282, 5021, 13795, 286, 424, 23057, 12672, 15948, 18, 28911, 478, 600, 2037, 1595, 470, 541, 21061, 680, 6569, 16, 374, 16311, 37850, 29626, 24693, 282, 505, 10035, 4648, 412, 2362, 617, 18, 478, 630, 807, 745, 322, 8070, 12599, 281, 21285, 16, 510, 12698, 11876, 607, 5881, 18, 510, 6644, 411, 1129, 16, 371, 488, 492, 294, 2891, 16, 1248, 13591, 840, 13334, 478, 8108, 22288, 9377, 910, 785, 1188, 4770, 1703, 4009, 5411, 14923, 847, 16805, 2178, 1643, 16, 3279, 745, 322, 8070, 1329, 8055, 861, 3739, 1176, 20276, 451, 1405, 778, 16555, 510, 8851, 5037, 21770, 4529, 289, 30667, 5037, 16180, 41963, 10263, 9027, 269, 421, 6041, 18, 817, 726, 2815, 16, 374, 322, 33201, 8465, 282, 10296, 16, 1830, 329, 421, 14079, 41014, 3848, 851, 332, 7385, 20449, 18, 7100, 16, 3872, 7514, 536, 5702, 289, 2270, 294, 2891, 19276, 718, 20449, 18, 26605, 20276, 549, 8448, 9383, 16, 4410, 289, 334, 17, 6093, 4092, 17196, 16, 10080, 478, 983, 35226, 17, 32512, 10987, 263, 861, 25582, 31408, 21340, 4623, 1559, 47635, 15508, 3495, 488, 16, 1029, 1055, 322, 27834, 290, 3177, 45799, 13898, 5487, 5703, 289, 935, 31725, 3333, 12182, 1405, 718, 11268, 3766, 17, 983, 2025, 476, 265, 18, 3557, 322, 2619, 17959, 3495, 488, 282, 1750, 2742, 22323, 5019, 30584, 16249, 17648, 324, 18, 44510, 1502, 575, 21546, 294, 2891, 478, 983, 4706, 512, 17, 32512, 10987, 470, 8503, 3818, 34664, 1116, 289, 15708, 6832, 428, 541, 16101, 16, 453, 289, 541, 16145, 18, 478, 983, 35226, 17, 32512, 10987, 263, 470, 10469, 23683, 281, 29582, 16, 282, 2114, 15684, 1119, 40483, 421, 643, 2025, 343, 478, 280, 1555, 9764, 1223, 21061, 718, 5478, 861, 1367, 803, 21408, 2815, 8851, 5222, 12760, 680, 22519, 478, 983, 4706, 512, 470, 47635, 15508, 3766, 17, 684, 3997, 266, 307, 18, 26244, 266, 307, 289, 475, 505, 5020, 662, 11272, 5606, 10945, 360, 15678, 9322, 7067, 16, 1029, 21194, 9770, 282, 4008, 18, 4429, 339, 2409, 421, 643, 2025, 343, 895, 1852, 687, 12681, 670, 35014, 11267, 19336, 16555, 16, 3893, 11876, 607, 5881, 16, 935, 827, 773, 4040, 37973, 451, 3766, 17, 983, 2025, 476, 265, 18, 740, 282, 6449, 1750, 31532, 12513, 1183, 34386, 15660, 18, 478, 682, 4593, 4830, 4010, 17, 299, 808, 1747, 14316, 309, 4082, 16, 367, 971, 34150, 16, 374, 3860, 10387, 322, 302, 9446, 16, 374, 5906, 1512, 475, 3066, 8391, 349, 38619, 38703, 18, 3529, 281, 1498, 3892, 530, 428, 281, 421, 643, 2025, 635, 910, 510, 5273, 11876, 607, 5881, 18, 385, 4111, 2891, 6769, 4783, 266, 6688, 478, 983, 4706, 512, 17, 32512, 10987, 910, 23751, 492, 18, 1178, 745, 1747, 12570, 282, 10296, 16, 502, 6769, 6539, 266, 1595, 10645, 6982, 779, 16, 785, 745, 5684, 2364, 1939, 9, 30430, 712, 18, 385, 1498, 12557, 6548, 22881, 14331, 17461, 6571, 7234, 289, 10830, 7080, 19287, 9746, 778, 510, 478, 275, 25546, 8524, 15077, 360, 1631, 16, 515, 3860, 10387, 322, 302, 9446, 861, 824, 505, 3163, 16, 3554, 421, 643, 2025, 343, 281, 5174, 4830, 510, 22211, 924, 16, 374, 478, 406, 18124, 3637, 9637, 16, 961, 322, 3005, 11721, 16, 753, 37898, 1759, 4461, 861, 478, 7306, 21953, 510, 6548, 17704, 282, 4008, 16, 289, 827, 4461, 15638, 1344, 16, 502, 13525, 802, 475, 697, 2770, 22490, 20232, 917, 16, 510 ]
[ 2548, 492, 18, 510, 1397, 329, 6684, 309, 4492, 1314, 510, 322, 3365, 2504, 861, 740, 19276, 680, 18875, 9381, 21620, 322, 4040, 16, 935, 827, 478, 983, 35226, 17, 32512, 10987, 263, 470, 43957, 7653, 6441, 309, 10296, 16, 25482, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 10880, 335, 14508, 1551, 4534, 43209, 13493, 16, 2113, 2822, 10450, 297, 26902, 613, 309, 2038, 16, 294, 7682, 6546, 282, 1939, 4500, 18, 2791, 18, 459, 5294, 277, 5573, 508, 291, 685, 14449, 30143, 282, 24592, 18802, 334, 8823, 294, 1474, 10294, 2891, 18, 35157, 9321, 16, 374, 840, 29581, 1086, 10566, 18, 2263, 5573, 508, 291, 322, 2842, 12977, 1279, 29581, 1237, 16, 2686, 492, 6088, 17335, 10566, 304, 16, 3387, 4539, 16, 374, 975, 19357, 25724, 3017, 18, 31224, 30, 732, 5294, 429, 5573, 508, 401, 16, 1029, 282, 9743, 6168, 309, 2038, 19361, 8308, 45174, 16, 5412, 19412, 294, 7682, 6546, 282, 1939, 4500, 18, 2791, 18, 15066, 33331, 3003, 5962, 2660, 335, 14508, 1551, 10208, 16, 2202, 275, 13493, 30143, 334, 7705, 478, 4670, 21459, 18802, 282, 4599, 14840, 2891, 861, 528, 1259, 420, 2116, 22427, 13125, 319, 13742, 282, 2100, 1897, 434, 17703, 8124, 309, 1205, 18, 985, 6881, 282, 43130, 16, 17627, 5367, 6168, 309, 2038, 10450, 297, 26902, 613, 16, 753, 23124, 478, 964, 1568, 416, 3416, 470, 289, 478, 511, 7108, 3237, 973, 17099, 25145, 19057, 7080, 861, 38659, 9543, 4210, 2572, 32933, 2904, 5129, 309, 502, 16, 374, 5573, 508, 291, 322, 38079, 8150, 16, 282, 2114, 505, 31439, 18, 48340, 468, 49837, 309, 5137, 1949, 5626, 16, 23370, 1639, 9597, 14160, 453, 289, 322, 7737, 7859, 16, 367, 2862, 745, 322, 1698, 35252, 15463, 353, 16, 33420, 4210, 2572, 18, 30858, 742, 5692, 16, 374, 5573, 508, 291, 322, 2963, 34846, 2768, 8308, 45174, 289, 322, 18797, 14055, 25145, 307, 294, 18100, 3326, 10299, 3213, 3051, 18, 2263, 26900, 10823, 322, 13749, 1423, 16789, 18, 817, 9848, 16, 374, 17335, 10566, 304, 16, 3387, 40556, 22323, 12783, 18, 824, 3163, 6052, 16, 492, 5962, 19361, 8308, 45174, 349, 1728, 28135, 16, 1029, 5931, 282, 6233, 18, 478, 1358, 322, 2946, 16, 374, 3720, 43360, 944, 512, 510, 14331, 8308, 45174, 18, 629, 4539, 16, 374, 481, 2218, 702, 6370, 9110, 375, 1624, 492, 12737, 282, 6233, 18, 629, 322, 4539, 424, 301, 1167, 874, 1195, 16527, 18, 365, 23567, 6233, 5892, 2507, 43360, 944, 14457, 18, 817, 322, 5195, 1655, 26279, 16, 289, 656, 25897, 18, 1860, 17174, 492, 685, 939, 4987, 18, 11489, 3193, 898, 19196, 309, 20011, 16, 1329, 19508, 322, 9170, 2240, 18, 629, 322, 7328, 505, 18956, 18, 889, 639, 1871, 13053, 18, 2877, 417, 4198, 272, 19361, 8308, 45174, 360, 26247, 18, 629, 322, 757, 1190, 6348, 16, 374, 475, 895, 453, 35230, 18, 889, 8183, 639, 322, 294, 41133, 16, 367, 294, 8722, 6527, 910, 510, 22014, 5573, 508, 291, 18, 817, 1038, 33420, 16, 374, 322, 5273, 16, 374, 7730, 9546, 451, 6377, 43360, 944, 14457, 16, 3387, 36054, 6573, 282, 4772, 44976, 322, 492, 18, 385, 10045, 454, 1611, 364, 1461, 37477, 879, 975, 1135, 16, 33420, 5573, 508, 291, 18, 478, 15609, 473, 672, 2128, 944, 3583, 510, 478, 18386, 18, 8381, 9979, 21073, 10100, 1272, 10744, 18, 629, 36335, 322, 387, 2561, 10955, 910, 510, 1109, 492, 18, 3557, 322, 2619, 1279, 29581, 1237, 36222, 4322, 322, 2842, 12977, 18, 478, 4408, 37980, 1779, 470, 10450, 35214, 46327, 6070, 43360, 944, 512, 4419, 27834, 16, 374, 5573, 508, 291, 322, 15892, 1737, 975, 21785, 16021, 16, 2686, 42655, 9546, 451, 6377, 16, 12691, 275, 36335, 281, 41317, 496, 282, 33769, 18, 478, 1358, 1721, 9324, 282, 32899, 1414, 309, 385, 6399, 1740, 680, 18, 1591, 808, 30539, 2682, 16581, 1871, 4109, 289, 24136, 8051, 6213, 18, 629, 282, 481, 808, 4374, 16, 367, 971, 703, 9785, 9529, 289, 44144, 18, 1367, 1506, 3467, 5512, 4134, 289, 44144, 18, 629, 3837, 2641, 473, 348, 2106, 274, 6699, 510, 478, 18386, 18, 8381, 12235, 785, 703, 34309, 18, 23396, 898, 37785, 16, 515, 417, 322, 757, 16930, 15481, 910, 510, 28681, 43360, 944, 512, 26058, 18, 824, 505, 3163, 16, 5573, 508, 291, 9738, 8382, 16, 785, 505, 4221, 538, 282, 5052, 6233, 16, 515, 3404, 481, 322, 8903, 987, 404, 18, 478, 11233, 322, 639, 9552, 18, 30665, 11805, 16021, 322, 639, 18, 35430, 434, 2950, 16, 374, 15762, 925, 5626, 282, 4772, 910, 510, 42375, 39597, 492, 18, 4756, 16044, 5930, 1154, 25046, 1151, 7869, 309, 14668, 48944, 43360, 944, 3583, 16, 2686, 492, 453, 322, 16083, 282, 3049, 5129, 18, 3791, 2438, 3665, 16, 374, 4322, 15492, 811, 411, 17329, 6431, 18, 7106, 16, 26058, 11540, 1286, 3598, 309, 7020, 9743, 478, 563, 6399, 1740, 1162, 861, 5573, 508, 291, 477, 17174, 32971, 706, 294, 8933, 31327, 312, 2339, 6814, 8308, 45174, 16, 19369, 2887, 17622, 346, 411, 1129, 4134, 289, 16, 38825, 16, 23444, 1293, 4995, 334, 7020, 16, 1055, 18057, 322, 46665, 538, 16, 753, 4366, 44604, 1159, 18, 1303, 481, 639, 5371, 299, 309, 5626, 16, 2486, 5957, 11116, 282, 33769, 18, 365, 4599, 5573, 508, 401, 639, 18966, 11969, 1743, 334, 327, 18, 430, 422, 18, 816, 2692, 11828, 510, 478, 4670, 21459, 18802, 16, 322, 38031, 541, 1354, 670, 7574, 861, 824, 1335, 7705, 20292, 5564, 364, 10556, 282, 9802, 1156, 4500, 18, 2791, 670, 25724, 3017, 510, 519, 1061, 986, 12851, 18, 4802, 10292, 36680, 16, 374, 5573, 508, 291, 6274, 34037, 2482, 2653, 24089, 3194, 3705, 19361, 16, 1220, 7894, 27193, 2891, 18, 1912, 3598, 23147, 597, 14940, 778, 1551, 4534, 9473, 32087, 41629, 424, 27503, 11923, 16, 428, 924, 22427, 26548, 18, 11849, 978, 4434, 12414, 825, 13125, 326, 21743, 32174, 282, 2100, 15028, 1465, 290, 6327, 4695, 18, 4199, 742, 8840, 8308, 45174, 3720, 768, 375, 20402, 1624, 48131, 26058, 16, 4725, 16, 374, 7832, 294, 3892, 454, 5573, 508, 401, 31134, 18, 1681, 16779, 309, 2038, 10450, 297, 26902, 613, 16, 17627, 5367, 478, 31713, 12292, 3064, 40966, 3173, 294, 1474, 10294, 2891, 910, 5273, 768, 375, 20402, 18, 817, 1038, 5692, 16, 374, 5834, 1135, 478, 280, 14759, 8055, 349, 1595, 23959, 861, 2, 1, 87, 1456, 81, 2448, 30, 2176, 2972, 22666, 282, 12221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2548, 492, 18, 510, 1397, 329, 6684, 309, 4492, 1314, 510, 322, 3365, 2504, 861, 740, 19276, 680, 18875, 9381, 21620, 322, 4040, 16, 935, 827, 478, 983, 35226, 17, 32512, 10987, 263, 470, 43957, 7653, 6441, 309, 10296, 16, 25482, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 10880, 335, 14508, 1551, 4534, 43209, 13493, 16, 2113, 2822, 10450, 297, 26902, 613, 309, 2038, 16, 294, 7682, 6546, 282, 1939, 4500, 18, 2791, 18, 459, 5294, 277, 5573, 508, 291, 685, 14449, 30143, 282, 24592, 18802, 334, 8823, 294, 1474, 10294, 2891, 18, 35157, 9321, 16, 374, 840, 29581, 1086, 10566, 18, 2263, 5573, 508, 291, 322, 2842, 12977, 1279, 29581, 1237, 16, 2686, 492, 6088, 17335, 10566, 304, 16, 3387, 4539, 16, 374, 975, 19357, 25724, 3017, 18, 31224, 30, 732, 5294, 429, 5573, 508, 401, 16, 1029, 282, 9743, 6168, 309, 2038, 19361, 8308, 45174, 16, 5412, 19412, 294, 7682, 6546, 282, 1939, 4500, 18, 2791, 18, 15066, 33331, 3003, 5962, 2660, 335, 14508, 1551, 10208, 16, 2202, 275, 13493, 30143, 334, 7705, 478, 4670, 21459, 18802, 282, 4599, 14840, 2891, 861, 528, 1259, 420, 2116, 22427, 13125, 319, 13742, 282, 2100, 1897, 434, 17703, 8124, 309, 1205, 18, 985, 6881, 282, 43130, 16, 17627, 5367, 6168, 309, 2038, 10450, 297, 26902, 613, 16, 753, 23124, 478, 964, 1568, 416, 3416, 470, 289, 478, 511, 7108, 3237, 973, 17099, 25145, 19057, 7080, 861, 38659, 9543, 4210, 2572, 32933, 2904, 5129, 309, 502, 16, 374, 5573, 508, 291, 322, 38079, 8150, 16, 282, 2114, 505, 31439, 18, 48340, 468, 49837, 309, 5137, 1949, 5626, 16, 23370, 1639, 9597, 14160, 453, 289, 322, 7737, 7859, 16, 367, 2862, 745, 322, 1698, 35252, 15463, 353, 16, 33420, 4210, 2572, 18, 30858, 742, 5692, 16, 374, 5573, 508, 291, 322, 2963, 34846, 2768, 8308, 45174, 289, 322, 18797, 14055, 25145, 307, 294, 18100, 3326, 10299, 3213, 3051, 18, 2263, 26900, 10823, 322, 13749, 1423, 16789, 18, 817, 9848, 16, 374, 17335, 10566, 304, 16, 3387, 40556, 22323, 12783, 18, 824, 3163, 6052, 16, 492, 5962, 19361, 8308, 45174, 349, 1728, 28135, 16, 1029, 5931, 282, 6233, 18, 478, 1358, 322, 2946, 16, 374, 3720, 43360, 944, 512, 510, 14331, 8308, 45174, 18, 629, 4539, 16, 374, 481, 2218, 702, 6370, 9110, 375, 1624, 492, 12737, 282, 6233, 18, 629, 322, 4539, 424, 301, 1167, 874, 1195, 16527, 18, 365, 23567, 6233, 5892, 2507, 43360, 944, 14457, 18, 817, 322, 5195, 1655, 26279, 16, 289, 656, 25897, 18, 1860, 17174, 492, 685, 939, 4987, 18, 11489, 3193, 898, 19196, 309, 20011, 16, 1329, 19508, 322, 9170, 2240, 18, 629, 322, 7328, 505, 18956, 18, 889, 639, 1871, 13053, 18, 2877, 417, 4198, 272, 19361, 8308, 45174, 360, 26247, 18, 629, 322, 757, 1190, 6348, 16, 374, 475, 895, 453, 35230, 18, 889, 8183, 639, 322, 294, 41133, 16, 367, 294, 8722, 6527, 910, 510, 22014, 5573, 508, 291, 18, 817, 1038, 33420, 16, 374, 322, 5273, 16, 374, 7730, 9546, 451, 6377, 43360, 944, 14457, 16, 3387, 36054, 6573, 282, 4772, 44976, 322, 492, 18, 385, 10045, 454, 1611, 364, 1461, 37477, 879, 975, 1135, 16, 33420, 5573, 508, 291, 18, 478, 15609, 473, 672, 2128, 944, 3583, 510, 478, 18386, 18, 8381, 9979, 21073, 10100, 1272, 10744, 18, 629, 36335, 322, 387, 2561, 10955, 910, 510, 1109, 492, 18, 3557, 322, 2619, 1279, 29581, 1237, 36222, 4322, 322, 2842, 12977, 18, 478, 4408, 37980, 1779, 470, 10450, 35214, 46327, 6070, 43360, 944, 512, 4419, 27834, 16, 374, 5573, 508, 291, 322, 15892, 1737, 975, 21785, 16021, 16, 2686, 42655, 9546, 451, 6377, 16, 12691, 275, 36335, 281, 41317, 496, 282, 33769, 18, 478, 1358, 1721, 9324, 282, 32899, 1414, 309, 385, 6399, 1740, 680, 18, 1591, 808, 30539, 2682, 16581, 1871, 4109, 289, 24136, 8051, 6213, 18, 629, 282, 481, 808, 4374, 16, 367, 971, 703, 9785, 9529, 289, 44144, 18, 1367, 1506, 3467, 5512, 4134, 289, 44144, 18, 629, 3837, 2641, 473, 348, 2106, 274, 6699, 510, 478, 18386, 18, 8381, 12235, 785, 703, 34309, 18, 23396, 898, 37785, 16, 515, 417, 322, 757, 16930, 15481, 910, 510, 28681, 43360, 944, 512, 26058, 18, 824, 505, 3163, 16, 5573, 508, 291, 9738, 8382, 16, 785, 505, 4221, 538, 282, 5052, 6233, 16, 515, 3404, 481, 322, 8903, 987, 404, 18, 478, 11233, 322, 639, 9552, 18, 30665, 11805, 16021, 322, 639, 18, 35430, 434, 2950, 16, 374, 15762, 925, 5626, 282, 4772, 910, 510, 42375, 39597, 492, 18, 4756, 16044, 5930, 1154, 25046, 1151, 7869, 309, 14668, 48944, 43360, 944, 3583, 16, 2686, 492, 453, 322, 16083, 282, 3049, 5129, 18, 3791, 2438, 3665, 16, 374, 4322, 15492, 811, 411, 17329, 6431, 18, 7106, 16, 26058, 11540, 1286, 3598, 309, 7020, 9743, 478, 563, 6399, 1740, 1162, 861, 5573, 508, 291, 477, 17174, 32971, 706, 294, 8933, 31327, 312, 2339, 6814, 8308, 45174, 16, 19369, 2887, 17622, 346, 411, 1129, 4134, 289, 16, 38825, 16, 23444, 1293, 4995, 334, 7020, 16, 1055, 18057, 322, 46665, 538, 16, 753, 4366, 44604, 1159, 18, 1303, 481, 639, 5371, 299, 309, 5626, 16, 2486, 5957, 11116, 282, 33769, 18, 365, 4599, 5573, 508, 401, 639, 18966, 11969, 1743, 334, 327, 18, 430, 422, 18, 816, 2692, 11828, 510, 478, 4670, 21459, 18802, 16, 322, 38031, 541, 1354, 670, 7574, 861, 824, 1335, 7705, 20292, 5564, 364, 10556, 282, 9802, 1156, 4500, 18, 2791, 670, 25724, 3017, 510, 519, 1061, 986, 12851, 18, 4802, 10292, 36680, 16, 374, 5573, 508, 291, 6274, 34037, 2482, 2653, 24089, 3194, 3705, 19361, 16, 1220, 7894, 27193, 2891, 18, 1912, 3598, 23147, 597, 14940, 778, 1551, 4534, 9473, 32087, 41629, 424, 27503, 11923, 16, 428, 924, 22427, 26548, 18, 11849, 978, 4434, 12414, 825, 13125, 326, 21743, 32174, 282, 2100, 15028, 1465, 290, 6327, 4695, 18, 4199, 742, 8840, 8308, 45174, 3720, 768, 375, 20402, 1624, 48131, 26058, 16, 4725, 16, 374, 7832, 294, 3892, 454, 5573, 508, 401, 31134, 18, 1681, 16779, 309, 2038, 10450, 297, 26902, 613, 16, 17627, 5367, 478, 31713, 12292, 3064, 40966, 3173, 294, 1474, 10294, 2891, 910, 5273, 768, 375, 20402, 18, 817, 1038, 5692, 16, 374, 5834, 1135, 478, 280, 14759, 8055, 349, 1595, 23959, 861, 2, 1, 87, 1456, 81, 2448, 30, 2176, 2972, 22666, 282, 12221 ]
[ 15727, 34766, 29196, 4770, 1335, 3320, 29893, 6698, 39056, 685, 2180, 5650, 27991, 6896, 309, 2992, 6566, 7745, 3017, 18, 10110, 36226, 4210, 727, 18540, 5269, 9272, 282, 2417, 635, 29196, 18, 31224, 30, 6706, 12241, 12253, 548, 8606, 26496, 44922, 29196, 1609, 3637, 18, 824, 7799, 272, 16, 10172, 2417, 8904, 289, 4770, 12486, 3871, 3685, 19420, 309, 2846, 779, 18, 365, 12221, 16, 988, 7312, 6940, 31279, 16, 309, 3059, 4830, 3411, 42871, 13049, 8970, 16555, 16, 30667, 5037, 3320, 29893, 6698, 39056, 18, 2320, 6574, 2959, 5204, 12321, 1209, 16, 289, 349, 17659, 434, 282, 6104, 17690, 36766, 16, 594, 2822, 14292, 1116, 2886, 12310, 10044, 4309, 16, 36695, 7190, 1209, 17736, 4909, 1437, 16, 32862, 282, 29196, 18, 999, 5487, 2846, 779, 1810, 309, 4770, 1212, 13314, 6698, 39056, 31921, 3064, 6138, 5743, 13269, 3216, 432, 6250, 483, 16, 3465, 6228, 21942, 2893, 478, 14375, 1116, 470, 3723, 35208, 4985, 15169, 16, 2957, 3389, 5630, 6367, 5251, 1809, 2095, 7561, 5538, 281, 2261, 519, 3436, 3541, 289, 44923, 17225, 20454, 44986, 3993, 18, 48646, 281, 37612, 282, 4789, 1212, 3723, 707, 39074, 749, 9994, 282, 25982, 25545, 4436, 10044, 2477, 17525, 4909, 1437, 16, 374, 1038, 1209, 20037, 18, 7858, 322, 25108, 305, 6698, 39056, 16, 289, 309, 10296, 492, 685, 749, 433, 8938, 12310, 38345, 18, 36424, 17736, 8113, 349, 16, 4770, 29196, 683, 7251, 2373, 709, 18, 478, 1659, 1254, 298, 779, 2158, 1011, 13125, 542, 12984, 29196, 309, 15727, 34766, 282, 12653, 37815, 1620, 2800, 417, 12511, 2538, 11798, 6722, 16, 510, 7332, 1694, 6698, 39056, 12117, 4788, 29196, 18, 510, 4338, 34829, 3741, 18, 365, 4698, 3678, 5240, 6722, 411, 17525, 10310, 1437, 16, 961, 39079, 282, 703, 861, 6698, 39056, 29608, 1038, 5600, 45593, 289, 17783, 264, 1356, 16, 31363, 735, 1587, 1423, 1805, 32957, 825, 15749, 18, 985, 9299, 4770, 29196, 16, 745, 15715, 2048, 5633, 8770, 2500, 1882, 18, 2949, 4830, 9184, 326, 289, 7032, 2417, 8904, 29196, 18, 6831, 16249, 685, 4770, 36226, 4210, 727, 18540, 5269, 18, 7249, 309, 27345, 39245, 1810, 282, 3723, 707, 289, 7814, 4700, 17, 299, 7967, 770, 10445, 1360, 1810, 16, 30667, 5037, 7179, 18569, 27322, 2972, 536, 38345, 18, 2320, 41043, 3064, 1931, 4990, 330, 6097, 16841, 2496, 25545, 4436, 10044, 2477, 29196, 16568, 451, 4770, 36226, 18159, 33959, 2449, 18, 727, 18540, 5269, 685, 9272, 282, 2417, 635, 16, 16150, 4055, 12607, 411, 17736, 18, 1397, 7291, 16, 309, 15222, 19822, 18, 3771, 48959, 1190, 1756, 282, 2417, 635, 263, 16, 30537, 1231, 539, 1011, 9293, 1489, 19750, 33959, 34040, 282, 5021, 1045, 18, 34141, 1737, 1756, 282, 2417, 635, 263, 289, 4770, 4551, 18569, 2665, 18223, 22349, 382, 267, 18, 2949, 1949, 7620, 26757, 9798, 8506, 282, 2452, 2417, 8904, 898, 13125, 318, 1236, 292, 388, 8909, 10827, 6252, 9777, 853, 473, 732, 14061, 542, 934, 385, 1414, 301, 8324, 46764, 473, 34058, 783, 934, 15330, 528, 509, 39971, 473, 1464, 4596, 613, 1183, 13, 289, 5449, 5680, 8993, 473, 49988, 486, 1183, 814, 14373, 14668, 2417, 8904, 29196, 281, 12070, 11088, 727, 18540, 5269, 8192, 2261, 443, 3420, 4209, 282, 391, 278, 913, 18, 11333, 7036, 942, 5298, 1336, 1492, 2, 1, 87, 1456, 81, 2448, 30, 14745, 24817, 37972, 9597, 4732, 11969, 8357, 334, 13229, 5263, 282, 4459, 11350, 17, 476, 3252, 354, 16934, 15073, 10806, 333, 1161, 18, 1253, 8977, 16, 374, 1450, 5426, 12175, 46401, 30316, 360, 35295, 16, 1029, 17602, 16, 753, 678, 6938, 30759, 9482, 2665, 18, 32895, 549, 20889, 10806, 333, 1161, 23735, 360, 3946, 478, 18665, 34131, 7816, 6587, 861, 31224, 30, 43589, 10806, 12568, 18585, 309, 1360, 7759, 282, 469, 40484, 290, 43279, 14132, 1101, 411, 17, 431, 5263, 282, 722, 4459, 18, 365, 23372, 31802, 282, 11379, 14179, 367, 7780, 2847, 3340, 510, 20691, 16934, 1624, 329, 8897, 2822, 309, 13012, 282, 4145, 1045, 16, 510, 1038, 5777, 1154, 17349, 7410, 14769, 4000, 27423, 9344, 349, 478, 8903, 987, 968, 3455, 282, 722, 17922, 470, 289, 5657, 10460, 1450, 1011, 10076, 7227, 24439, 18, 478, 30008, 24556, 939, 8522, 19912, 1617, 10722, 18, 3647, 11969, 8357, 11435, 334, 13229, 15429, 5263, 282, 33769, 519, 924, 16, 428, 417, 12943, 290, 1129, 910, 510, 18585, 10806, 12568, 309, 1360, 7759, 282, 8752, 5324, 18, 49855, 349, 13662, 12763, 6730, 678, 22646, 1154, 309, 10933, 36667, 16, 961, 16, 334, 4734, 10806, 333, 1161, 16, 15655, 3236, 722, 32589, 289, 30217, 24807, 43025, 282, 4459, 478, 18665, 34131, 7816, 6587, 861, 478, 1358, 9763, 16, 374, 1177, 46401, 30316, 685, 14127, 18747, 1624, 753, 20561, 42154, 294, 8722, 4107, 825, 15313, 954, 16, 367, 1038, 45234, 29142, 6652, 539, 7649, 6135, 1195, 478, 18665, 375, 3334, 16615, 2389, 910, 428, 481, 639, 1011, 10076, 4158, 7227, 16, 367, 1038, 753, 5689, 402, 41309, 13012, 16, 1586, 8641, 322, 895, 13864, 1634, 2954, 910, 510, 5860, 977, 10806, 12568, 18, 4756, 2954, 778, 8306, 285, 289, 20203, 7816, 370, 7550, 18073, 291, 44976, 282, 469, 40484, 5626, 281, 6790, 979, 294, 10806, 333, 1161, 18, 817, 17602, 360, 1710, 17560, 281, 2665, 282, 3178, 3437, 9909, 18, 12660, 16, 334, 505, 3163, 16, 34144, 2262, 13805, 3193, 478, 267, 4947, 4611, 1360, 16867, 861, 478, 8804, 1220, 5001, 16, 334, 8331, 16, 41458, 12724, 2553, 17, 1225, 6035, 1891, 282, 2759, 4008, 510, 282, 4862, 910, 510, 2815, 18073, 291, 18, 40896, 7780, 2847, 3340, 17005, 21894, 3703, 3990, 6705, 779, 282, 5214, 14512, 18, 23480, 931, 282, 20844, 1728, 38261, 5235, 309, 10927, 281, 29108, 12360, 323, 334, 48619, 8450, 355, 42438, 10521, 3259, 1624, 785, 505, 3515, 1501, 5834, 1135, 289, 3404, 1293, 24729, 17321, 29854, 282, 20691, 289, 505, 25841, 22879, 18, 967, 803, 4722, 5354, 27318, 351, 1507, 4326, 8367, 16, 1248, 6711, 808, 8619, 413, 7894, 282, 14154, 18, 32952, 3409, 7780, 2847, 3340, 4167, 2207, 28410, 8973, 4874, 22533, 1624, 1029, 281, 4440, 779, 6820, 282, 10256, 2557, 349, 4419, 5069, 448, 8150, 18, 7249, 309, 481, 16, 281, 2604, 779, 492, 1715, 2511, 4776, 12737, 282, 32427, 45174, 2665, 18, 2112, 10076, 7780, 2847, 3340, 371, 4874, 301, 7871, 6371, 34091, 27166, 9275, 5348, 18, 824, 7475, 14160, 16, 3504, 9364, 12679, 8851, 2954, 778, 9195, 10806, 333, 1161, 4137, 12129, 2440, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15727, 34766, 29196, 4770, 1335, 3320, 29893, 6698, 39056, 685, 2180, 5650, 27991, 6896, 309, 2992, 6566, 7745, 3017, 18, 10110, 36226, 4210, 727, 18540, 5269, 9272, 282, 2417, 635, 29196, 18, 31224, 30, 6706, 12241, 12253, 548, 8606, 26496, 44922, 29196, 1609, 3637, 18, 824, 7799, 272, 16, 10172, 2417, 8904, 289, 4770, 12486, 3871, 3685, 19420, 309, 2846, 779, 18, 365, 12221, 16, 988, 7312, 6940, 31279, 16, 309, 3059, 4830, 3411, 42871, 13049, 8970, 16555, 16, 30667, 5037, 3320, 29893, 6698, 39056, 18, 2320, 6574, 2959, 5204, 12321, 1209, 16, 289, 349, 17659, 434, 282, 6104, 17690, 36766, 16, 594, 2822, 14292, 1116, 2886, 12310, 10044, 4309, 16, 36695, 7190, 1209, 17736, 4909, 1437, 16, 32862, 282, 29196, 18, 999, 5487, 2846, 779, 1810, 309, 4770, 1212, 13314, 6698, 39056, 31921, 3064, 6138, 5743, 13269, 3216, 432, 6250, 483, 16, 3465, 6228, 21942, 2893, 478, 14375, 1116, 470, 3723, 35208, 4985, 15169, 16, 2957, 3389, 5630, 6367, 5251, 1809, 2095, 7561, 5538, 281, 2261, 519, 3436, 3541, 289, 44923, 17225, 20454, 44986, 3993, 18, 48646, 281, 37612, 282, 4789, 1212, 3723, 707, 39074, 749, 9994, 282, 25982, 25545, 4436, 10044, 2477, 17525, 4909, 1437, 16, 374, 1038, 1209, 20037, 18, 7858, 322, 25108, 305, 6698, 39056, 16, 289, 309, 10296, 492, 685, 749, 433, 8938, 12310, 38345, 18, 36424, 17736, 8113, 349, 16, 4770, 29196, 683, 7251, 2373, 709, 18, 478, 1659, 1254, 298, 779, 2158, 1011, 13125, 542, 12984, 29196, 309, 15727, 34766, 282, 12653, 37815, 1620, 2800, 417, 12511, 2538, 11798, 6722, 16, 510, 7332, 1694, 6698, 39056, 12117, 4788, 29196, 18, 510, 4338, 34829, 3741, 18, 365, 4698, 3678, 5240, 6722, 411, 17525, 10310, 1437, 16, 961, 39079, 282, 703, 861, 6698, 39056, 29608, 1038, 5600, 45593, 289, 17783, 264, 1356, 16, 31363, 735, 1587, 1423, 1805, 32957, 825, 15749, 18, 985, 9299, 4770, 29196, 16, 745, 15715, 2048, 5633, 8770, 2500, 1882, 18, 2949, 4830, 9184, 326, 289, 7032, 2417, 8904, 29196, 18, 6831, 16249, 685, 4770, 36226, 4210, 727, 18540, 5269, 18, 7249, 309, 27345, 39245, 1810, 282, 3723, 707, 289, 7814, 4700, 17, 299, 7967, 770, 10445, 1360, 1810, 16, 30667, 5037, 7179, 18569, 27322, 2972, 536, 38345, 18, 2320, 41043, 3064, 1931, 4990, 330, 6097, 16841, 2496, 25545, 4436, 10044, 2477, 29196, 16568, 451, 4770, 36226, 18159, 33959, 2449, 18, 727, 18540, 5269, 685, 9272, 282, 2417, 635, 16, 16150, 4055, 12607, 411, 17736, 18, 1397, 7291, 16, 309, 15222, 19822, 18, 3771, 48959, 1190, 1756, 282, 2417, 635, 263, 16, 30537, 1231, 539, 1011, 9293, 1489, 19750, 33959, 34040, 282, 5021, 1045, 18, 34141, 1737, 1756, 282, 2417, 635, 263, 289, 4770, 4551, 18569, 2665, 18223, 22349, 382, 267, 18, 2949, 1949, 7620, 26757, 9798, 8506, 282, 2452, 2417, 8904, 898, 13125, 318, 1236, 292, 388, 8909, 10827, 6252, 9777, 853, 473, 732, 14061, 542, 934, 385, 1414, 301, 8324, 46764, 473, 34058, 783, 934, 15330, 528, 509, 39971, 473, 1464, 4596, 613, 1183, 13, 289, 5449, 5680, 8993, 473, 49988, 486, 1183, 814, 14373, 14668, 2417, 8904, 29196, 281, 12070, 11088, 727, 18540, 5269, 8192, 2261, 443, 3420, 4209, 282, 391, 278, 913, 18, 11333, 7036, 942, 5298, 1336, 1492, 2, 1, 87, 1456, 81, 2448, 30, 14745, 24817, 37972, 9597, 4732, 11969, 8357, 334, 13229, 5263, 282, 4459, 11350, 17, 476, 3252, 354, 16934, 15073, 10806, 333, 1161, 18, 1253, 8977, 16, 374, 1450, 5426, 12175, 46401, 30316, 360, 35295, 16, 1029, 17602, 16, 753, 678, 6938, 30759, 9482, 2665, 18, 32895, 549, 20889, 10806, 333, 1161, 23735, 360, 3946, 478, 18665, 34131, 7816, 6587, 861, 31224, 30, 43589, 10806, 12568, 18585, 309, 1360, 7759, 282, 469, 40484, 290, 43279, 14132, 1101, 411, 17, 431, 5263, 282, 722, 4459, 18, 365, 23372, 31802, 282, 11379, 14179, 367, 7780, 2847, 3340, 510, 20691, 16934, 1624, 329, 8897, 2822, 309, 13012, 282, 4145, 1045, 16, 510, 1038, 5777, 1154, 17349, 7410, 14769, 4000, 27423, 9344, 349, 478, 8903, 987, 968, 3455, 282, 722, 17922, 470, 289, 5657, 10460, 1450, 1011, 10076, 7227, 24439, 18, 478, 30008, 24556, 939, 8522, 19912, 1617, 10722, 18, 3647, 11969, 8357, 11435, 334, 13229, 15429, 5263, 282, 33769, 519, 924, 16, 428, 417, 12943, 290, 1129, 910, 510, 18585, 10806, 12568, 309, 1360, 7759, 282, 8752, 5324, 18, 49855, 349, 13662, 12763, 6730, 678, 22646, 1154, 309, 10933, 36667, 16, 961, 16, 334, 4734, 10806, 333, 1161, 16, 15655, 3236, 722, 32589, 289, 30217, 24807, 43025, 282, 4459, 478, 18665, 34131, 7816, 6587, 861, 478, 1358, 9763, 16, 374, 1177, 46401, 30316, 685, 14127, 18747, 1624, 753, 20561, 42154, 294, 8722, 4107, 825, 15313, 954, 16, 367, 1038, 45234, 29142, 6652, 539, 7649, 6135, 1195, 478, 18665, 375, 3334, 16615, 2389, 910, 428, 481, 639, 1011, 10076, 4158, 7227, 16, 367, 1038, 753, 5689, 402, 41309, 13012, 16, 1586, 8641, 322, 895, 13864, 1634, 2954, 910, 510, 5860, 977, 10806, 12568, 18, 4756, 2954, 778, 8306, 285, 289, 20203, 7816, 370, 7550, 18073, 291, 44976, 282, 469, 40484, 5626, 281, 6790, 979, 294, 10806, 333, 1161, 18, 817, 17602, 360, 1710, 17560, 281, 2665, 282, 3178, 3437, 9909, 18, 12660, 16, 334, 505, 3163, 16, 34144, 2262, 13805, 3193, 478, 267, 4947, 4611, 1360, 16867, 861, 478, 8804, 1220, 5001, 16, 334, 8331, 16, 41458, 12724, 2553, 17, 1225, 6035, 1891, 282, 2759, 4008, 510, 282, 4862, 910, 510, 2815, 18073, 291, 18, 40896, 7780, 2847, 3340, 17005, 21894, 3703, 3990, 6705, 779, 282, 5214, 14512, 18, 23480, 931, 282, 20844, 1728, 38261, 5235, 309, 10927, 281, 29108, 12360, 323, 334, 48619, 8450, 355, 42438, 10521, 3259, 1624, 785, 505, 3515, 1501, 5834, 1135, 289, 3404, 1293, 24729, 17321, 29854, 282, 20691, 289, 505, 25841, 22879, 18, 967, 803, 4722, 5354, 27318, 351, 1507, 4326, 8367, 16, 1248, 6711, 808, 8619, 413, 7894, 282, 14154, 18, 32952, 3409, 7780, 2847, 3340, 4167, 2207, 28410, 8973, 4874, 22533, 1624, 1029, 281, 4440, 779, 6820, 282, 10256, 2557, 349, 4419, 5069, 448, 8150, 18, 7249, 309, 481, 16, 281, 2604, 779, 492, 1715, 2511, 4776, 12737, 282, 32427, 45174, 2665, 18, 2112, 10076, 7780, 2847, 3340, 371, 4874, 301, 7871, 6371, 34091, 27166, 9275, 5348, 18, 824, 7475, 14160, 16, 3504, 9364, 12679, 8851, 2954, 778, 9195, 10806, 333, 1161, 4137, 12129, 2440, 16 ]
[ 367, 2726, 8943, 289, 15590, 7771, 510, 2852, 2954, 2665, 18, 16662, 575, 12213, 11531, 1812, 289, 3253, 10806, 12568, 18, 1253, 1038, 8977, 16, 374, 1450, 3453, 3857, 41371, 14075, 360, 12129, 3854, 18, 478, 3001, 289, 24525, 16, 289, 43851, 16, 289, 371, 15206, 475, 481, 639, 18, 3923, 575, 16, 492, 37505, 40896, 18, 996, 322, 2164, 16370, 575, 694, 7012, 910, 510, 8476, 37797, 18, 365, 7337, 3285, 2818, 9577, 1918, 478, 37291, 6980, 470, 678, 9321, 16, 374, 22586, 329, 8508, 478, 18047, 16, 515, 16148, 451, 541, 924, 16, 753, 19117, 2388, 17127, 1775, 3193, 309, 2923, 4758, 4000, 861, 478, 4529, 16, 492, 37505, 5207, 28787, 1805, 16, 10536, 16, 289, 16, 13649, 16, 14179, 16, 5076, 492, 322, 502, 374, 282, 41254, 382, 322, 1205, 811, 16, 367, 1029, 281, 1498, 14642, 322, 2963, 723, 996, 16, 20935, 16, 334, 5083, 2533, 18, 15517, 16, 492, 505, 2770, 364, 519, 5833, 25938, 345, 18, 16662, 32270, 2955, 910, 510, 9321, 678, 18, 29658, 10806, 12568, 664, 31632, 16, 374, 478, 7944, 266, 22586, 4450, 299, 928, 541, 924, 16, 753, 14896, 910, 2686, 5747, 24989, 16, 374, 15582, 14160, 722, 322, 12982, 326, 18, 403, 2222, 575, 16, 334, 722, 3163, 16, 396, 4119, 12129, 3854, 282, 15313, 763, 7780, 2847, 3340, 678, 5382, 726, 2944, 16, 3754, 16, 505, 4119, 282, 803, 2463, 3708, 39976, 3848, 428, 22569, 913, 44062, 18, 478, 3096, 9375, 575, 475, 14046, 2248, 1323, 2733, 2175, 16, 374, 14179, 322, 1139, 28310, 282, 13012, 289, 5695, 17187, 16, 367, 764, 289, 35813, 281, 1807, 1851, 17, 299, 22320, 18307, 766, 16, 411, 17, 431, 2024, 16, 30777, 16, 282, 1175, 1314, 9438, 530, 5430, 289, 764, 3563, 3365, 374, 18, 14654, 322, 290, 19862, 44744, 16, 367, 381, 1967, 41773, 770, 16768, 363, 2662, 910, 510, 39672, 37797, 18, 7106, 16, 374, 349, 1421, 5576, 519, 10076, 7780, 2847, 3340, 22557, 1496, 451, 1551, 4534, 349, 13878, 10733, 300, 505, 349, 32494, 33190, 17737, 16, 22672, 282, 7669, 304, 23973, 881, 19067, 1562, 18, 38232, 17, 476, 3252, 354, 1038, 34856, 282, 50128, 282, 7117, 27177, 9802, 18, 9873, 978, 16, 10299, 22056, 11680, 282, 36849, 7780, 2847, 3340, 294, 20701, 4315, 868, 718, 25291, 11094, 434, 1462, 5250, 282, 3507, 18, 3739, 3255, 16, 282, 12335, 2604, 779, 16, 5876, 1880, 8554, 33515, 7920, 1727, 857, 282, 39309, 6034, 290, 4336, 763, 7780, 2847, 3340, 11309, 680, 31551, 4510, 18, 3026, 1038, 7863, 16896, 309, 38963, 505, 282, 3106, 41629, 282, 2463, 290, 13486, 1462, 5250, 7343, 17528, 430, 16, 25, 4500, 18, 9608, 18, 308, 16, 282, 502, 808, 428, 835, 309, 481, 492, 322, 5195, 18, 7249, 309, 1466, 468, 290, 30724, 1101, 282, 2630, 477, 14289, 16, 2486, 7174, 414, 19418, 7780, 2847, 3340, 16, 11969, 1743, 290, 50128, 282, 4599, 11350, 17, 476, 3252, 354, 519, 4319, 1326, 322, 45457, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 28384, 10172, 23174, 1009, 16, 961, 282, 3178, 4335, 986, 5078, 312, 848, 4110, 8243, 39274, 49054, 18, 1681, 16882, 957, 867, 5547, 20817, 29811, 16, 282, 2114, 424, 7595, 42850, 47851, 38615, 7462, 2602, 901, 2895, 839, 4621, 18, 31224, 30, 630, 2314, 659, 4151, 11552, 5246, 5579, 17, 14723, 3225, 32042, 40888, 6367, 36958, 40759, 3463, 473, 630, 672, 1009, 934, 961, 282, 3178, 4335, 986, 14358, 20316, 14386, 8848, 17154, 5616, 2954, 16, 3110, 3781, 17, 9952, 11552, 5246, 18, 8071, 27166, 34811, 473, 314, 1147, 5741, 1205, 16, 10656, 4039, 986, 13, 898, 28384, 6447, 876, 7923, 764, 282, 13186, 6705, 779, 18, 2046, 1949, 697, 424, 388, 1051, 473, 8914, 1205, 289, 3405, 779, 934, 961, 475, 481, 808, 15681, 5078, 312, 12703, 33803, 933, 39274, 49054, 16, 30356, 7431, 7737, 20632, 687, 6396, 2287, 4776, 18, 33714, 39092, 32953, 282, 12654, 11147, 16, 20933, 651, 14999, 44169, 1767, 18, 4406, 520, 764, 11009, 1335, 23174, 1009, 16, 1055, 42031, 18, 4802, 2118, 5273, 16, 374, 5487, 901, 675, 40030, 26158, 764, 282, 5049, 1045, 18, 2681, 349, 1176, 41484, 745, 1355, 2251, 1871, 4621, 478, 33051, 9070, 470, 510, 42910, 17, 6568, 27154, 289, 42910, 17, 22, 3572, 5041, 18, 365, 11671, 1045, 1629, 1157, 1355, 2251, 764, 1176, 11304, 2696, 5554, 528, 10589, 17, 23, 3161, 6091, 22, 289, 4698, 282, 697, 12393, 547, 14526, 18464, 441, 454, 651, 33863, 33230, 742, 769, 1308, 93, 18, 365, 803, 575, 1045, 1629, 1157, 19679, 294, 1033, 13095, 3276, 3447, 395, 10372, 2009, 16247, 3497, 18, 365, 10841, 5021, 779, 282, 3198, 15390, 434, 14719, 282, 23856, 1767, 745, 2337, 1076, 538, 32720, 1185, 11651, 21341, 27220, 18, 365, 11500, 478, 40659, 402, 388, 6951, 470, 2788, 3590, 39274, 14313, 613, 289, 26986, 329, 1047, 17558, 90, 674, 8816, 1185, 946, 980, 17043, 18, 9873, 978, 349, 1205, 773, 3225, 13771, 307, 4118, 6929, 31107, 2704, 764, 36950, 3995, 2608, 18, 7758, 6447, 22805, 39248, 31682, 282, 5153, 4840, 2287, 8974, 18, 2046, 322, 20846, 16, 374, 24046, 29673, 13061, 289, 290, 1888, 10390, 17537, 18, 365, 4542, 1684, 2449, 329, 39092, 898, 39152, 276, 13495, 860, 7333, 2014, 48429, 1185, 5062, 444, 289, 38392, 3565, 47980, 517, 16, 11260, 541, 32266, 2682, 12060, 6961, 31697, 22791, 34693, 16, 1281, 26980, 3594, 33095, 360, 8974, 478, 6030, 1295, 470, 289, 860, 7333, 2014, 48429, 1185, 5062, 444, 18, 3791, 40030, 898, 4154, 1007, 14638, 25661, 429, 19659, 17593, 9832, 281, 4088, 5056, 4704, 3334, 47859, 18, 824, 1711, 22066, 5842, 14461, 12860, 9884, 47525, 289, 2760, 9069, 44346, 16, 3110, 15330, 1880, 11552, 5246, 18, 365, 4599, 1209, 40888, 39092, 7301, 1007, 5034, 448, 1101, 334, 34582, 478, 598, 3376, 470, 473, 283, 18, 816, 422, 18, 2261, 22, 11828, 934, 478, 844, 3464, 16, 5069, 451, 14120, 1562, 282, 27177, 9802, 470, 473, 283, 18, 491, 422, 18, 2261, 21, 11828, 934, 478, 1024, 1235, 16253, 16, 43221, 282, 27177, 9802, 470, 473, 283, 18, 816, 422, 18, 50024, 11828, 13, 289, 478, 812, 626, 282, 27177, 9802, 470, 473, 283, 18, 816, 422, 18, 1760, 28, 11828, 814, 1303, 1101, 5219, 1007, 282, 2361, 8357, 18, 457, 628, 5688, 6279, 13125, 324, 25433, 32174, 282, 2100, 12851, 424, 32496, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 367, 2726, 8943, 289, 15590, 7771, 510, 2852, 2954, 2665, 18, 16662, 575, 12213, 11531, 1812, 289, 3253, 10806, 12568, 18, 1253, 1038, 8977, 16, 374, 1450, 3453, 3857, 41371, 14075, 360, 12129, 3854, 18, 478, 3001, 289, 24525, 16, 289, 43851, 16, 289, 371, 15206, 475, 481, 639, 18, 3923, 575, 16, 492, 37505, 40896, 18, 996, 322, 2164, 16370, 575, 694, 7012, 910, 510, 8476, 37797, 18, 365, 7337, 3285, 2818, 9577, 1918, 478, 37291, 6980, 470, 678, 9321, 16, 374, 22586, 329, 8508, 478, 18047, 16, 515, 16148, 451, 541, 924, 16, 753, 19117, 2388, 17127, 1775, 3193, 309, 2923, 4758, 4000, 861, 478, 4529, 16, 492, 37505, 5207, 28787, 1805, 16, 10536, 16, 289, 16, 13649, 16, 14179, 16, 5076, 492, 322, 502, 374, 282, 41254, 382, 322, 1205, 811, 16, 367, 1029, 281, 1498, 14642, 322, 2963, 723, 996, 16, 20935, 16, 334, 5083, 2533, 18, 15517, 16, 492, 505, 2770, 364, 519, 5833, 25938, 345, 18, 16662, 32270, 2955, 910, 510, 9321, 678, 18, 29658, 10806, 12568, 664, 31632, 16, 374, 478, 7944, 266, 22586, 4450, 299, 928, 541, 924, 16, 753, 14896, 910, 2686, 5747, 24989, 16, 374, 15582, 14160, 722, 322, 12982, 326, 18, 403, 2222, 575, 16, 334, 722, 3163, 16, 396, 4119, 12129, 3854, 282, 15313, 763, 7780, 2847, 3340, 678, 5382, 726, 2944, 16, 3754, 16, 505, 4119, 282, 803, 2463, 3708, 39976, 3848, 428, 22569, 913, 44062, 18, 478, 3096, 9375, 575, 475, 14046, 2248, 1323, 2733, 2175, 16, 374, 14179, 322, 1139, 28310, 282, 13012, 289, 5695, 17187, 16, 367, 764, 289, 35813, 281, 1807, 1851, 17, 299, 22320, 18307, 766, 16, 411, 17, 431, 2024, 16, 30777, 16, 282, 1175, 1314, 9438, 530, 5430, 289, 764, 3563, 3365, 374, 18, 14654, 322, 290, 19862, 44744, 16, 367, 381, 1967, 41773, 770, 16768, 363, 2662, 910, 510, 39672, 37797, 18, 7106, 16, 374, 349, 1421, 5576, 519, 10076, 7780, 2847, 3340, 22557, 1496, 451, 1551, 4534, 349, 13878, 10733, 300, 505, 349, 32494, 33190, 17737, 16, 22672, 282, 7669, 304, 23973, 881, 19067, 1562, 18, 38232, 17, 476, 3252, 354, 1038, 34856, 282, 50128, 282, 7117, 27177, 9802, 18, 9873, 978, 16, 10299, 22056, 11680, 282, 36849, 7780, 2847, 3340, 294, 20701, 4315, 868, 718, 25291, 11094, 434, 1462, 5250, 282, 3507, 18, 3739, 3255, 16, 282, 12335, 2604, 779, 16, 5876, 1880, 8554, 33515, 7920, 1727, 857, 282, 39309, 6034, 290, 4336, 763, 7780, 2847, 3340, 11309, 680, 31551, 4510, 18, 3026, 1038, 7863, 16896, 309, 38963, 505, 282, 3106, 41629, 282, 2463, 290, 13486, 1462, 5250, 7343, 17528, 430, 16, 25, 4500, 18, 9608, 18, 308, 16, 282, 502, 808, 428, 835, 309, 481, 492, 322, 5195, 18, 7249, 309, 1466, 468, 290, 30724, 1101, 282, 2630, 477, 14289, 16, 2486, 7174, 414, 19418, 7780, 2847, 3340, 16, 11969, 1743, 290, 50128, 282, 4599, 11350, 17, 476, 3252, 354, 519, 4319, 1326, 322, 45457, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 28384, 10172, 23174, 1009, 16, 961, 282, 3178, 4335, 986, 5078, 312, 848, 4110, 8243, 39274, 49054, 18, 1681, 16882, 957, 867, 5547, 20817, 29811, 16, 282, 2114, 424, 7595, 42850, 47851, 38615, 7462, 2602, 901, 2895, 839, 4621, 18, 31224, 30, 630, 2314, 659, 4151, 11552, 5246, 5579, 17, 14723, 3225, 32042, 40888, 6367, 36958, 40759, 3463, 473, 630, 672, 1009, 934, 961, 282, 3178, 4335, 986, 14358, 20316, 14386, 8848, 17154, 5616, 2954, 16, 3110, 3781, 17, 9952, 11552, 5246, 18, 8071, 27166, 34811, 473, 314, 1147, 5741, 1205, 16, 10656, 4039, 986, 13, 898, 28384, 6447, 876, 7923, 764, 282, 13186, 6705, 779, 18, 2046, 1949, 697, 424, 388, 1051, 473, 8914, 1205, 289, 3405, 779, 934, 961, 475, 481, 808, 15681, 5078, 312, 12703, 33803, 933, 39274, 49054, 16, 30356, 7431, 7737, 20632, 687, 6396, 2287, 4776, 18, 33714, 39092, 32953, 282, 12654, 11147, 16, 20933, 651, 14999, 44169, 1767, 18, 4406, 520, 764, 11009, 1335, 23174, 1009, 16, 1055, 42031, 18, 4802, 2118, 5273, 16, 374, 5487, 901, 675, 40030, 26158, 764, 282, 5049, 1045, 18, 2681, 349, 1176, 41484, 745, 1355, 2251, 1871, 4621, 478, 33051, 9070, 470, 510, 42910, 17, 6568, 27154, 289, 42910, 17, 22, 3572, 5041, 18, 365, 11671, 1045, 1629, 1157, 1355, 2251, 764, 1176, 11304, 2696, 5554, 528, 10589, 17, 23, 3161, 6091, 22, 289, 4698, 282, 697, 12393, 547, 14526, 18464, 441, 454, 651, 33863, 33230, 742, 769, 1308, 93, 18, 365, 803, 575, 1045, 1629, 1157, 19679, 294, 1033, 13095, 3276, 3447, 395, 10372, 2009, 16247, 3497, 18, 365, 10841, 5021, 779, 282, 3198, 15390, 434, 14719, 282, 23856, 1767, 745, 2337, 1076, 538, 32720, 1185, 11651, 21341, 27220, 18, 365, 11500, 478, 40659, 402, 388, 6951, 470, 2788, 3590, 39274, 14313, 613, 289, 26986, 329, 1047, 17558, 90, 674, 8816, 1185, 946, 980, 17043, 18, 9873, 978, 349, 1205, 773, 3225, 13771, 307, 4118, 6929, 31107, 2704, 764, 36950, 3995, 2608, 18, 7758, 6447, 22805, 39248, 31682, 282, 5153, 4840, 2287, 8974, 18, 2046, 322, 20846, 16, 374, 24046, 29673, 13061, 289, 290, 1888, 10390, 17537, 18, 365, 4542, 1684, 2449, 329, 39092, 898, 39152, 276, 13495, 860, 7333, 2014, 48429, 1185, 5062, 444, 289, 38392, 3565, 47980, 517, 16, 11260, 541, 32266, 2682, 12060, 6961, 31697, 22791, 34693, 16, 1281, 26980, 3594, 33095, 360, 8974, 478, 6030, 1295, 470, 289, 860, 7333, 2014, 48429, 1185, 5062, 444, 18, 3791, 40030, 898, 4154, 1007, 14638, 25661, 429, 19659, 17593, 9832, 281, 4088, 5056, 4704, 3334, 47859, 18, 824, 1711, 22066, 5842, 14461, 12860, 9884, 47525, 289, 2760, 9069, 44346, 16, 3110, 15330, 1880, 11552, 5246, 18, 365, 4599, 1209, 40888, 39092, 7301, 1007, 5034, 448, 1101, 334, 34582, 478, 598, 3376, 470, 473, 283, 18, 816, 422, 18, 2261, 22, 11828, 934, 478, 844, 3464, 16, 5069, 451, 14120, 1562, 282, 27177, 9802, 470, 473, 283, 18, 491, 422, 18, 2261, 21, 11828, 934, 478, 1024, 1235, 16253, 16, 43221, 282, 27177, 9802, 470, 473, 283, 18, 816, 422, 18, 50024, 11828, 13, 289, 478, 812, 626, 282, 27177, 9802, 470, 473, 283, 18, 816, 422, 18, 1760, 28, 11828, 814, 1303, 1101, 5219, 1007, 282, 2361, 8357, 18, 457, 628, 5688, 6279, 13125, 324, 25433, 32174, 282, 2100, 12851, 424, 32496, 18 ]
[ 17102, 5834, 411, 424, 388, 1051, 473, 728, 3405, 779, 13, 3164, 424, 15028, 680, 290, 6327, 4695, 18, 3557, 5547, 567, 12241, 282, 28441, 1767, 6447, 22805, 18137, 478, 21805, 10589, 470, 1624, 7462, 8694, 1421, 25660, 6379, 282, 1355, 913, 7994, 16, 961, 898, 6903, 18420, 424, 42850, 278, 982, 14713, 2661, 16, 3110, 6080, 478, 13261, 861, 478, 672, 11749, 845, 5426, 3695, 4209, 282, 504, 13405, 1212, 3948, 28441, 1767, 8811, 450, 18819, 40650, 478, 21805, 10589, 470, 281, 371, 800, 3258, 16, 3279, 45252, 5259, 17, 7745, 11750, 13097, 45062, 18, 967, 41859, 282, 7932, 7805, 898, 23076, 816, 16, 22, 5600, 42850, 47851, 38615, 16, 367, 424, 2872, 1421, 7994, 910, 651, 6442, 282, 8231, 18, 1789, 9957, 898, 8522, 33933, 6025, 18, 824, 3163, 16979, 16, 492, 10747, 40323, 411, 5579, 17, 14723, 282, 7522, 289, 16, 478, 12787, 484, 16, 1329, 322, 2946, 290, 23877, 1758, 4141, 910, 10050, 26459, 18, 478, 4670, 3819, 582, 5172, 432, 20498, 712, 8811, 13587, 18700, 16, 374, 475, 1421, 4621, 1935, 47212, 282, 1355, 913, 349, 608, 5246, 334, 44169, 1767, 18, 478, 21805, 10589, 470, 281, 17458, 9471, 3995, 2608, 16079, 455, 1493, 19431, 7352, 16, 282, 1754, 1038, 8926, 8044, 45062, 16, 1639, 18137, 282, 21520, 999, 1517, 615, 910, 651, 3110, 8231, 18, 2, 1, 87, 1456, 81, 2448, 30, 789, 878, 7809, 31617, 1798, 18462, 10384, 12994, 289, 3404, 3103, 8533, 291, 282, 8267, 1279, 478, 29392, 932, 354, 861, 478, 822, 286, 551, 470, 30682, 8955, 18, 478, 630, 2561, 292, 3372, 470, 42100, 332, 478, 684, 13566, 872, 267, 910, 367, 478, 40176, 9058, 267, 470, 50253, 478, 822, 300, 1145, 861, 31224, 30, 471, 822, 286, 551, 470, 2734, 322, 25469, 282, 16876, 8267, 46634, 29510, 7756, 18, 2112, 14248, 360, 478, 822, 300, 42596, 470, 3895, 322, 34694, 7242, 413, 282, 9547, 281, 478, 29392, 932, 496, 910, 6177, 478, 672, 5952, 13823, 910, 282, 1423, 3678, 16, 757, 44984, 19311, 411, 1949, 18042, 1027, 18, 365, 9547, 281, 478, 29392, 932, 496, 470, 322, 5962, 8465, 1176, 411, 13764, 2614, 38304, 6147, 11106, 435, 8316, 4086, 312, 16, 35474, 34840, 282, 8267, 281, 478, 780, 599, 546, 36020, 861, 8281, 45171, 639, 289, 329, 41319, 6288, 9880, 8367, 1624, 515, 1500, 294, 9547, 281, 478, 29392, 932, 496, 470, 4522, 811, 16, 30993, 289, 2780, 10133, 309, 41093, 44873, 18, 439, 1215, 8316, 4086, 312, 1038, 685, 1576, 637, 309, 10133, 16, 515, 309, 20118, 322, 4223, 18, 40128, 31617, 1798, 18462, 10384, 12994, 289, 3404, 3103, 8533, 291, 18, 13353, 9864, 478, 7223, 5141, 1876, 470, 3225, 5848, 4698, 14596, 16, 282, 1754, 15014, 8074, 326, 4317, 12994, 289, 7863, 7739, 3033, 41701, 1223, 1281, 18, 31969, 845, 478, 29392, 932, 266, 470, 7609, 21446, 1421, 23523, 18, 365, 4810, 16, 567, 2992, 1912, 17, 25822, 582, 4426, 16, 282, 970, 2875, 16, 289, 4256, 40921, 3437, 717, 12248, 504, 798, 3584, 13843, 13303, 2235, 478, 672, 5952, 13823, 470, 48492, 519, 1533, 12994, 16, 367, 294, 20234, 34979, 2594, 651, 519, 4256, 18, 365, 14515, 23523, 726, 50172, 3711, 20693, 2795, 16, 374, 745, 8103, 6547, 651, 29523, 30, 17867, 1011, 7518, 12994, 9410, 439, 264, 10084, 439, 1832, 576, 18, 24187, 649, 924, 575, 3584, 13843, 1624, 32471, 3326, 7640, 12994, 16, 478, 822, 286, 551, 272, 470, 322, 3225, 16, 687, 1215, 29591, 978, 5514, 5084, 28253, 282, 5462, 582, 4466, 19561, 414, 1617, 4744, 1465, 18, 1268, 431, 731, 48295, 16, 21188, 478, 682, 1225, 49739, 267, 470, 8074, 326, 2852, 12994, 9410, 289, 7166, 1166, 8955, 281, 445, 5793, 282, 48148, 651, 1467, 599, 275, 4013, 271, 4048, 607, 42530, 14274, 21755, 349, 2852, 7264, 519, 949, 16946, 18, 478, 1659, 27254, 910, 282, 9268, 9155, 1684, 25474, 309, 36934, 478, 17810, 1822, 660, 910, 7000, 706, 1642, 281, 478, 789, 48577, 861, 44146, 282, 32164, 2756, 27596, 9888, 3643, 31554, 554, 541, 21166, 2466, 18774, 29462, 33272, 651, 282, 4722, 445, 478, 919, 382, 470, 309, 36934, 18042, 1166, 282, 8151, 3750, 282, 45978, 913, 18, 25021, 292, 726, 282, 33762, 8267, 411, 4256, 685, 50101, 749, 10988, 4811, 5675, 24135, 16, 1029, 334, 17, 6093, 15983, 1812, 1011, 17336, 850, 890, 18, 385, 3915, 14515, 23523, 478, 730, 19746, 755, 288, 470, 4296, 4668, 28, 16, 2686, 282, 5897, 4699, 1912, 17, 25822, 582, 21188, 17701, 411, 5606, 2287, 1634, 4744, 2449, 45468, 687, 1176, 18, 35832, 19373, 30, 12770, 294, 9747, 7977, 18236, 282, 25926, 30, 12281, 282, 4356, 478, 1659, 27254, 910, 367, 294, 5251, 1809, 38374, 263, 16432, 478, 983, 2679, 32248, 470, 26844, 2261, 12994, 18, 365, 17370, 9964, 322, 16757, 414, 1791, 478, 630, 2561, 292, 3372, 470, 289, 6258, 17, 5853, 14712, 262, 910, 10313, 626, 2508, 1617, 9764, 1642, 18, 37540, 16101, 50253, 17164, 11817, 764, 5548, 309, 7422, 2468, 282, 9964, 478, 684, 13566, 872, 267, 861, 9300, 12954, 13236, 915, 883, 1275, 13028, 4013, 273, 5000, 43403, 1624, 4813, 309, 502, 16, 374, 9665, 282, 1595, 12945, 1332, 16, 48150, 322, 6089, 16, 32471, 1472, 3103, 12994, 16, 282, 502, 808, 428, 505, 40399, 420, 42255, 12653, 13389, 651, 9817, 18, 365, 1335, 9547, 475, 2438, 349, 5270, 281, 18627, 1879, 519, 3915, 5790, 651, 371, 20545, 3417, 30, 18637, 38331, 478, 684, 13566, 872, 267, 470, 8790, 307, 15604, 832, 297, 331, 41026, 11297, 12632, 16, 2671, 10551, 309, 20118, 8220, 420, 1356, 18, 608, 478, 23739, 17, 5853, 14712, 262, 470, 5199, 322, 10587, 25818, 21472, 4874, 9058, 1624, 1029, 11189, 685, 12848, 10927, 567, 2992, 23523, 411, 17, 431, 11532, 2973, 424, 10202, 2198, 4690, 362, 29641, 16, 32471, 1223, 1272, 26654, 18, 4798, 1047, 478, 301, 293, 4607, 470, 475, 3066, 23156, 31191, 282, 4056, 289, 14515, 3303, 38809, 16, 374, 16, 567, 10246, 16, 529, 32562, 857, 10645, 18, 7100, 16, 282, 2456, 3186, 1555, 411, 1209, 9691, 478, 40176, 9058, 267, 470, 282, 24921, 332, 409, 42100, 326, 28986, 17793, 18, 824, 272, 11819, 380, 289, 403, 16892, 18357, 2128, 34447, 7866, 564, 329, 450, 1395, 343, 3568, 9052, 382, 289, 6727, 5044, 22343, 18, 2112, 33022, 4056, 1912, 17, 25822, 382, 13236, 915, 883, 873, 8740, 2919, 360, 21755, 4426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17102, 5834, 411, 424, 388, 1051, 473, 728, 3405, 779, 13, 3164, 424, 15028, 680, 290, 6327, 4695, 18, 3557, 5547, 567, 12241, 282, 28441, 1767, 6447, 22805, 18137, 478, 21805, 10589, 470, 1624, 7462, 8694, 1421, 25660, 6379, 282, 1355, 913, 7994, 16, 961, 898, 6903, 18420, 424, 42850, 278, 982, 14713, 2661, 16, 3110, 6080, 478, 13261, 861, 478, 672, 11749, 845, 5426, 3695, 4209, 282, 504, 13405, 1212, 3948, 28441, 1767, 8811, 450, 18819, 40650, 478, 21805, 10589, 470, 281, 371, 800, 3258, 16, 3279, 45252, 5259, 17, 7745, 11750, 13097, 45062, 18, 967, 41859, 282, 7932, 7805, 898, 23076, 816, 16, 22, 5600, 42850, 47851, 38615, 16, 367, 424, 2872, 1421, 7994, 910, 651, 6442, 282, 8231, 18, 1789, 9957, 898, 8522, 33933, 6025, 18, 824, 3163, 16979, 16, 492, 10747, 40323, 411, 5579, 17, 14723, 282, 7522, 289, 16, 478, 12787, 484, 16, 1329, 322, 2946, 290, 23877, 1758, 4141, 910, 10050, 26459, 18, 478, 4670, 3819, 582, 5172, 432, 20498, 712, 8811, 13587, 18700, 16, 374, 475, 1421, 4621, 1935, 47212, 282, 1355, 913, 349, 608, 5246, 334, 44169, 1767, 18, 478, 21805, 10589, 470, 281, 17458, 9471, 3995, 2608, 16079, 455, 1493, 19431, 7352, 16, 282, 1754, 1038, 8926, 8044, 45062, 16, 1639, 18137, 282, 21520, 999, 1517, 615, 910, 651, 3110, 8231, 18, 2, 1, 87, 1456, 81, 2448, 30, 789, 878, 7809, 31617, 1798, 18462, 10384, 12994, 289, 3404, 3103, 8533, 291, 282, 8267, 1279, 478, 29392, 932, 354, 861, 478, 822, 286, 551, 470, 30682, 8955, 18, 478, 630, 2561, 292, 3372, 470, 42100, 332, 478, 684, 13566, 872, 267, 910, 367, 478, 40176, 9058, 267, 470, 50253, 478, 822, 300, 1145, 861, 31224, 30, 471, 822, 286, 551, 470, 2734, 322, 25469, 282, 16876, 8267, 46634, 29510, 7756, 18, 2112, 14248, 360, 478, 822, 300, 42596, 470, 3895, 322, 34694, 7242, 413, 282, 9547, 281, 478, 29392, 932, 496, 910, 6177, 478, 672, 5952, 13823, 910, 282, 1423, 3678, 16, 757, 44984, 19311, 411, 1949, 18042, 1027, 18, 365, 9547, 281, 478, 29392, 932, 496, 470, 322, 5962, 8465, 1176, 411, 13764, 2614, 38304, 6147, 11106, 435, 8316, 4086, 312, 16, 35474, 34840, 282, 8267, 281, 478, 780, 599, 546, 36020, 861, 8281, 45171, 639, 289, 329, 41319, 6288, 9880, 8367, 1624, 515, 1500, 294, 9547, 281, 478, 29392, 932, 496, 470, 4522, 811, 16, 30993, 289, 2780, 10133, 309, 41093, 44873, 18, 439, 1215, 8316, 4086, 312, 1038, 685, 1576, 637, 309, 10133, 16, 515, 309, 20118, 322, 4223, 18, 40128, 31617, 1798, 18462, 10384, 12994, 289, 3404, 3103, 8533, 291, 18, 13353, 9864, 478, 7223, 5141, 1876, 470, 3225, 5848, 4698, 14596, 16, 282, 1754, 15014, 8074, 326, 4317, 12994, 289, 7863, 7739, 3033, 41701, 1223, 1281, 18, 31969, 845, 478, 29392, 932, 266, 470, 7609, 21446, 1421, 23523, 18, 365, 4810, 16, 567, 2992, 1912, 17, 25822, 582, 4426, 16, 282, 970, 2875, 16, 289, 4256, 40921, 3437, 717, 12248, 504, 798, 3584, 13843, 13303, 2235, 478, 672, 5952, 13823, 470, 48492, 519, 1533, 12994, 16, 367, 294, 20234, 34979, 2594, 651, 519, 4256, 18, 365, 14515, 23523, 726, 50172, 3711, 20693, 2795, 16, 374, 745, 8103, 6547, 651, 29523, 30, 17867, 1011, 7518, 12994, 9410, 439, 264, 10084, 439, 1832, 576, 18, 24187, 649, 924, 575, 3584, 13843, 1624, 32471, 3326, 7640, 12994, 16, 478, 822, 286, 551, 272, 470, 322, 3225, 16, 687, 1215, 29591, 978, 5514, 5084, 28253, 282, 5462, 582, 4466, 19561, 414, 1617, 4744, 1465, 18, 1268, 431, 731, 48295, 16, 21188, 478, 682, 1225, 49739, 267, 470, 8074, 326, 2852, 12994, 9410, 289, 7166, 1166, 8955, 281, 445, 5793, 282, 48148, 651, 1467, 599, 275, 4013, 271, 4048, 607, 42530, 14274, 21755, 349, 2852, 7264, 519, 949, 16946, 18, 478, 1659, 27254, 910, 282, 9268, 9155, 1684, 25474, 309, 36934, 478, 17810, 1822, 660, 910, 7000, 706, 1642, 281, 478, 789, 48577, 861, 44146, 282, 32164, 2756, 27596, 9888, 3643, 31554, 554, 541, 21166, 2466, 18774, 29462, 33272, 651, 282, 4722, 445, 478, 919, 382, 470, 309, 36934, 18042, 1166, 282, 8151, 3750, 282, 45978, 913, 18, 25021, 292, 726, 282, 33762, 8267, 411, 4256, 685, 50101, 749, 10988, 4811, 5675, 24135, 16, 1029, 334, 17, 6093, 15983, 1812, 1011, 17336, 850, 890, 18, 385, 3915, 14515, 23523, 478, 730, 19746, 755, 288, 470, 4296, 4668, 28, 16, 2686, 282, 5897, 4699, 1912, 17, 25822, 582, 21188, 17701, 411, 5606, 2287, 1634, 4744, 2449, 45468, 687, 1176, 18, 35832, 19373, 30, 12770, 294, 9747, 7977, 18236, 282, 25926, 30, 12281, 282, 4356, 478, 1659, 27254, 910, 367, 294, 5251, 1809, 38374, 263, 16432, 478, 983, 2679, 32248, 470, 26844, 2261, 12994, 18, 365, 17370, 9964, 322, 16757, 414, 1791, 478, 630, 2561, 292, 3372, 470, 289, 6258, 17, 5853, 14712, 262, 910, 10313, 626, 2508, 1617, 9764, 1642, 18, 37540, 16101, 50253, 17164, 11817, 764, 5548, 309, 7422, 2468, 282, 9964, 478, 684, 13566, 872, 267, 861, 9300, 12954, 13236, 915, 883, 1275, 13028, 4013, 273, 5000, 43403, 1624, 4813, 309, 502, 16, 374, 9665, 282, 1595, 12945, 1332, 16, 48150, 322, 6089, 16, 32471, 1472, 3103, 12994, 16, 282, 502, 808, 428, 505, 40399, 420, 42255, 12653, 13389, 651, 9817, 18, 365, 1335, 9547, 475, 2438, 349, 5270, 281, 18627, 1879, 519, 3915, 5790, 651, 371, 20545, 3417, 30, 18637, 38331, 478, 684, 13566, 872, 267, 470, 8790, 307, 15604, 832, 297, 331, 41026, 11297, 12632, 16, 2671, 10551, 309, 20118, 8220, 420, 1356, 18, 608, 478, 23739, 17, 5853, 14712, 262, 470, 5199, 322, 10587, 25818, 21472, 4874, 9058, 1624, 1029, 11189, 685, 12848, 10927, 567, 2992, 23523, 411, 17, 431, 11532, 2973, 424, 10202, 2198, 4690, 362, 29641, 16, 32471, 1223, 1272, 26654, 18, 4798, 1047, 478, 301, 293, 4607, 470, 475, 3066, 23156, 31191, 282, 4056, 289, 14515, 3303, 38809, 16, 374, 16, 567, 10246, 16, 529, 32562, 857, 10645, 18, 7100, 16, 282, 2456, 3186, 1555, 411, 1209, 9691, 478, 40176, 9058, 267, 470, 282, 24921, 332, 409, 42100, 326, 28986, 17793, 18, 824, 272, 11819, 380, 289, 403, 16892, 18357, 2128, 34447, 7866, 564, 329, 450, 1395, 343, 3568, 9052, 382, 289, 6727, 5044, 22343, 18, 2112, 33022, 4056, 1912, 17, 25822, 382, 13236, 915, 883, 873, 8740, 2919, 360, 21755, 4426 ]
[ 1619, 26374, 428, 445, 18357, 3150, 289, 11819, 2446, 18, 14438, 14794, 16, 374, 42262, 10587, 2048, 651, 481, 37106, 309, 12295, 282, 7109, 12994, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 44894, 485, 5693, 289, 10744, 20072, 13764, 322, 21519, 467, 309, 30225, 24324, 18, 5333, 2175, 12117, 5854, 21569, 6370, 26334, 2715, 309, 40608, 35621, 289, 22692, 18350, 26333, 424, 32496, 282, 1175, 12201, 32382, 18, 31224, 30, 672, 6035, 17, 15975, 4830, 1175, 6370, 26334, 2715, 309, 40608, 7796, 23603, 18350, 10733, 3314, 282, 1175, 12201, 32382, 18, 817, 13744, 16, 374, 24478, 10744, 20072, 13764, 322, 1698, 953, 34156, 541, 5836, 7179, 12670, 18, 478, 19479, 10041, 16, 656, 49280, 294, 5295, 954, 9099, 10744, 2994, 960, 936, 560, 20072, 13764, 294, 13795, 954, 12201, 32382, 651, 478, 18386, 18, 8381, 470, 9142, 515, 9099, 10744, 322, 1698, 35252, 30046, 541, 5836, 7179, 12670, 670, 541, 924, 16, 753, 1085, 17, 299, 13826, 300, 360, 7179, 12670, 910, 510, 10824, 5854, 21569, 18, 817, 11661, 16, 374, 21619, 9200, 2826, 40303, 4039, 3972, 567, 808, 3692, 434, 11330, 4830, 1175, 9001, 9620, 281, 13415, 27893, 27568, 29518, 323, 24012, 18, 478, 22681, 6732, 4263, 1617, 14914, 2166, 910, 510, 4725, 26334, 18, 817, 5692, 16, 374, 478, 39384, 2994, 18665, 24817, 651, 478, 18386, 18, 8381, 470, 65, 42900, 6535, 424, 23285, 861, 478, 6039, 16, 374, 281, 2872, 3621, 16, 3621, 282, 5118, 281, 17234, 17818, 910, 510, 15135, 5854, 21569, 18, 365, 1175, 726, 322, 2615, 445, 34715, 290, 749, 13711, 14529, 37976, 4534, 4671, 326, 547, 289, 6111, 4449, 282, 41317, 464, 282, 10513, 928, 1212, 19604, 546, 289, 49640, 9609, 835, 1631, 282, 14613, 18, 1367, 803, 5130, 282, 17292, 10936, 11896, 2407, 282, 2630, 281, 4153, 10386, 29582, 13415, 8367, 27568, 9787, 8029, 24012, 289, 4830, 5670, 12198, 1496, 13922, 379, 4048, 10084, 18, 3026, 1038, 16170, 16, 374, 2388, 24741, 18955, 5086, 468, 18, 478, 5786, 288, 1893, 5086, 468, 10546, 2301, 978, 10744, 16, 282, 1754, 21329, 289, 13734, 1046, 4354, 27016, 8260, 31439, 6551, 282, 322, 1580, 49640, 835, 1631, 282, 14613, 16, 37640, 553, 49049, 282, 42077, 1212, 4993, 289, 10513, 928, 1212, 19604, 546, 16, 26184, 467, 282, 1379, 4459, 39432, 839, 5693, 910, 510, 23362, 282, 23032, 11896, 2407, 18, 403, 2222, 575, 1122, 16170, 16, 374, 5343, 45727, 20349, 42207, 3463, 294, 2010, 11188, 8359, 282, 14039, 289, 7446, 44028, 35664, 16, 5923, 727, 4742, 18, 9873, 924, 282, 19862, 32975, 304, 27246, 4864, 3457, 16, 374, 9868, 8658, 424, 25110, 10579, 11007, 428, 2095, 1175, 28736, 318, 18, 365, 11896, 8026, 4110, 16, 374, 1747, 10846, 44223, 20383, 48313, 2553, 289, 18863, 7425, 9874, 46839, 18, 365, 3507, 1038, 4864, 3457, 16, 374, 3771, 12073, 10866, 26651, 490, 624, 282, 10513, 928, 1212, 19604, 546, 16, 515, 3744, 1893, 19435, 26659, 3623, 289, 322, 33201, 14075, 15734, 1437, 477, 1963, 2665, 18, 478, 43139, 924, 16, 753, 20982, 478, 8467, 470, 6551, 16, 2394, 3559, 3338, 17815, 334, 478, 29525, 1191, 2818, 5189, 552, 470, 14446, 2904, 309, 19894, 1733, 282, 1264, 13061, 13344, 346, 8739, 48837, 835, 1631, 289, 1110, 2593, 16, 290, 1639, 453, 6509, 484, 478, 10202, 792, 6779, 6564, 910, 510, 20353, 294, 34658, 41158, 282, 11896, 2407, 18, 5043, 16, 18211, 289, 15871, 14888, 336, 1558, 1423, 13696, 282, 17691, 4096, 282, 10513, 928, 1212, 19604, 546, 18, 3695, 3972, 7597, 1103, 9572, 12435, 282, 4599, 1175, 18, 3739, 519, 38836, 7597, 16, 1029, 14366, 2511, 17, 3940, 3972, 16, 38649, 24012, 9321, 16, 374, 15871, 10565, 42675, 349, 1103, 1070, 42995, 933, 13951, 18, 478, 4348, 3984, 12498, 4465, 3319, 30775, 18, 1345, 3984, 17884, 349, 1103, 1070, 13951, 910, 510, 19352, 678, 289, 1038, 5777, 1154, 478, 4931, 12075, 5768, 282, 2630, 281, 20323, 1175, 861, 478, 4348, 322, 20633, 1804, 6180, 22807, 2994, 10789, 265, 65, 309, 42077, 1880, 4993, 910, 510, 16926, 24012, 18, 17734, 3082, 468, 10830, 7080, 1175, 4243, 1011, 26369, 282, 10513, 928, 1212, 19604, 546, 16, 1029, 11540, 2706, 4120, 18, 3529, 1421, 7295, 12201, 35436, 510, 478, 983, 12463, 1231, 328, 910, 478, 10430, 9201, 470, 289, 478, 1358, 318, 1241, 864, 470, 510, 28647, 32769, 751, 309, 33788, 9482, 18, 1606, 32580, 4110, 1568, 448, 5693, 5781, 14250, 1051, 15314, 18, 403, 2222, 575, 16, 428, 15833, 282, 18747, 1175, 1624, 745, 46287, 37300, 13759, 312, 3271, 282, 22379, 2331, 16, 1586, 31110, 1175, 764, 519, 38056, 294, 1420, 11007, 18, 1598, 17, 431, 978, 24382, 26205, 1175, 3711, 22617, 5472, 510, 9208, 12201, 32382, 5684, 17706, 16, 515, 773, 35849, 3961, 18, 824, 13229, 31382, 282, 6159, 1924, 3128, 1175, 639, 18966, 11969, 1743, 18, 1563, 24817, 5129, 18137, 18, 3436, 12201, 32382, 16, 1639, 39248, 282, 8597, 547, 40853, 7583, 8535, 16, 15258, 778, 1551, 14212, 424, 11923, 18, 365, 35524, 745, 35386, 475, 44397, 21332, 651, 11923, 20366, 2706, 3612, 18, 6980, 2271, 2582, 16, 374, 282, 41317, 464, 28157, 3771, 16, 1548, 374, 10933, 11517, 478, 960, 1627, 326, 3941, 282, 4599, 11412, 31883, 1333, 2665, 861, 6682, 924, 16, 40228, 322, 5550, 19354, 7434, 478, 375, 35255, 861, 10110, 2665, 7753, 9344, 8566, 481, 478, 1406, 416, 861, 365, 502, 575, 808, 282, 3507, 6730, 44963, 4521, 322, 453, 1479, 25001, 289, 7788, 481, 8777, 15734, 2206, 281, 14774, 1963, 18, 8859, 4770, 1175, 4137, 6732, 3893, 16, 374, 1542, 15734, 783, 906, 37149, 9771, 12984, 2665, 289, 1623, 6906, 505, 27803, 416, 14016, 18, 2, 1, 87, 1456, 81, 2448, 30, 50098, 429, 5183, 354, 626, 45641, 281, 25350, 2392, 301, 12988, 798, 289, 840, 16685, 10616, 18, 13116, 2888, 47376, 31629, 2630, 424, 4713, 322, 7155, 411, 17, 431, 19508, 7925, 43914, 18, 10609, 10380, 46831, 3152, 18285, 334, 35946, 2974, 1014, 41968, 2891, 12530, 8940, 281, 3915, 4440, 779, 18, 24195, 7043, 4419, 4609, 1166, 20495, 309, 5183, 7523, 289, 21173, 454, 3741, 16695, 282, 4843, 2479, 5096, 18, 31224, 30, 822, 1994, 9906, 2272, 16564, 8786, 4534, 473, 822, 9088, 13, 6405, 2609, 1211, 9318, 5183, 354, 626, 2974, 1014, 37888, 4568, 31629, 281, 2392, 301, 17374, 6582, 510, 3003, 22033, 2444, 8396, 519, 2992, 11678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1619, 26374, 428, 445, 18357, 3150, 289, 11819, 2446, 18, 14438, 14794, 16, 374, 42262, 10587, 2048, 651, 481, 37106, 309, 12295, 282, 7109, 12994, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 44894, 485, 5693, 289, 10744, 20072, 13764, 322, 21519, 467, 309, 30225, 24324, 18, 5333, 2175, 12117, 5854, 21569, 6370, 26334, 2715, 309, 40608, 35621, 289, 22692, 18350, 26333, 424, 32496, 282, 1175, 12201, 32382, 18, 31224, 30, 672, 6035, 17, 15975, 4830, 1175, 6370, 26334, 2715, 309, 40608, 7796, 23603, 18350, 10733, 3314, 282, 1175, 12201, 32382, 18, 817, 13744, 16, 374, 24478, 10744, 20072, 13764, 322, 1698, 953, 34156, 541, 5836, 7179, 12670, 18, 478, 19479, 10041, 16, 656, 49280, 294, 5295, 954, 9099, 10744, 2994, 960, 936, 560, 20072, 13764, 294, 13795, 954, 12201, 32382, 651, 478, 18386, 18, 8381, 470, 9142, 515, 9099, 10744, 322, 1698, 35252, 30046, 541, 5836, 7179, 12670, 670, 541, 924, 16, 753, 1085, 17, 299, 13826, 300, 360, 7179, 12670, 910, 510, 10824, 5854, 21569, 18, 817, 11661, 16, 374, 21619, 9200, 2826, 40303, 4039, 3972, 567, 808, 3692, 434, 11330, 4830, 1175, 9001, 9620, 281, 13415, 27893, 27568, 29518, 323, 24012, 18, 478, 22681, 6732, 4263, 1617, 14914, 2166, 910, 510, 4725, 26334, 18, 817, 5692, 16, 374, 478, 39384, 2994, 18665, 24817, 651, 478, 18386, 18, 8381, 470, 65, 42900, 6535, 424, 23285, 861, 478, 6039, 16, 374, 281, 2872, 3621, 16, 3621, 282, 5118, 281, 17234, 17818, 910, 510, 15135, 5854, 21569, 18, 365, 1175, 726, 322, 2615, 445, 34715, 290, 749, 13711, 14529, 37976, 4534, 4671, 326, 547, 289, 6111, 4449, 282, 41317, 464, 282, 10513, 928, 1212, 19604, 546, 289, 49640, 9609, 835, 1631, 282, 14613, 18, 1367, 803, 5130, 282, 17292, 10936, 11896, 2407, 282, 2630, 281, 4153, 10386, 29582, 13415, 8367, 27568, 9787, 8029, 24012, 289, 4830, 5670, 12198, 1496, 13922, 379, 4048, 10084, 18, 3026, 1038, 16170, 16, 374, 2388, 24741, 18955, 5086, 468, 18, 478, 5786, 288, 1893, 5086, 468, 10546, 2301, 978, 10744, 16, 282, 1754, 21329, 289, 13734, 1046, 4354, 27016, 8260, 31439, 6551, 282, 322, 1580, 49640, 835, 1631, 282, 14613, 16, 37640, 553, 49049, 282, 42077, 1212, 4993, 289, 10513, 928, 1212, 19604, 546, 16, 26184, 467, 282, 1379, 4459, 39432, 839, 5693, 910, 510, 23362, 282, 23032, 11896, 2407, 18, 403, 2222, 575, 1122, 16170, 16, 374, 5343, 45727, 20349, 42207, 3463, 294, 2010, 11188, 8359, 282, 14039, 289, 7446, 44028, 35664, 16, 5923, 727, 4742, 18, 9873, 924, 282, 19862, 32975, 304, 27246, 4864, 3457, 16, 374, 9868, 8658, 424, 25110, 10579, 11007, 428, 2095, 1175, 28736, 318, 18, 365, 11896, 8026, 4110, 16, 374, 1747, 10846, 44223, 20383, 48313, 2553, 289, 18863, 7425, 9874, 46839, 18, 365, 3507, 1038, 4864, 3457, 16, 374, 3771, 12073, 10866, 26651, 490, 624, 282, 10513, 928, 1212, 19604, 546, 16, 515, 3744, 1893, 19435, 26659, 3623, 289, 322, 33201, 14075, 15734, 1437, 477, 1963, 2665, 18, 478, 43139, 924, 16, 753, 20982, 478, 8467, 470, 6551, 16, 2394, 3559, 3338, 17815, 334, 478, 29525, 1191, 2818, 5189, 552, 470, 14446, 2904, 309, 19894, 1733, 282, 1264, 13061, 13344, 346, 8739, 48837, 835, 1631, 289, 1110, 2593, 16, 290, 1639, 453, 6509, 484, 478, 10202, 792, 6779, 6564, 910, 510, 20353, 294, 34658, 41158, 282, 11896, 2407, 18, 5043, 16, 18211, 289, 15871, 14888, 336, 1558, 1423, 13696, 282, 17691, 4096, 282, 10513, 928, 1212, 19604, 546, 18, 3695, 3972, 7597, 1103, 9572, 12435, 282, 4599, 1175, 18, 3739, 519, 38836, 7597, 16, 1029, 14366, 2511, 17, 3940, 3972, 16, 38649, 24012, 9321, 16, 374, 15871, 10565, 42675, 349, 1103, 1070, 42995, 933, 13951, 18, 478, 4348, 3984, 12498, 4465, 3319, 30775, 18, 1345, 3984, 17884, 349, 1103, 1070, 13951, 910, 510, 19352, 678, 289, 1038, 5777, 1154, 478, 4931, 12075, 5768, 282, 2630, 281, 20323, 1175, 861, 478, 4348, 322, 20633, 1804, 6180, 22807, 2994, 10789, 265, 65, 309, 42077, 1880, 4993, 910, 510, 16926, 24012, 18, 17734, 3082, 468, 10830, 7080, 1175, 4243, 1011, 26369, 282, 10513, 928, 1212, 19604, 546, 16, 1029, 11540, 2706, 4120, 18, 3529, 1421, 7295, 12201, 35436, 510, 478, 983, 12463, 1231, 328, 910, 478, 10430, 9201, 470, 289, 478, 1358, 318, 1241, 864, 470, 510, 28647, 32769, 751, 309, 33788, 9482, 18, 1606, 32580, 4110, 1568, 448, 5693, 5781, 14250, 1051, 15314, 18, 403, 2222, 575, 16, 428, 15833, 282, 18747, 1175, 1624, 745, 46287, 37300, 13759, 312, 3271, 282, 22379, 2331, 16, 1586, 31110, 1175, 764, 519, 38056, 294, 1420, 11007, 18, 1598, 17, 431, 978, 24382, 26205, 1175, 3711, 22617, 5472, 510, 9208, 12201, 32382, 5684, 17706, 16, 515, 773, 35849, 3961, 18, 824, 13229, 31382, 282, 6159, 1924, 3128, 1175, 639, 18966, 11969, 1743, 18, 1563, 24817, 5129, 18137, 18, 3436, 12201, 32382, 16, 1639, 39248, 282, 8597, 547, 40853, 7583, 8535, 16, 15258, 778, 1551, 14212, 424, 11923, 18, 365, 35524, 745, 35386, 475, 44397, 21332, 651, 11923, 20366, 2706, 3612, 18, 6980, 2271, 2582, 16, 374, 282, 41317, 464, 28157, 3771, 16, 1548, 374, 10933, 11517, 478, 960, 1627, 326, 3941, 282, 4599, 11412, 31883, 1333, 2665, 861, 6682, 924, 16, 40228, 322, 5550, 19354, 7434, 478, 375, 35255, 861, 10110, 2665, 7753, 9344, 8566, 481, 478, 1406, 416, 861, 365, 502, 575, 808, 282, 3507, 6730, 44963, 4521, 322, 453, 1479, 25001, 289, 7788, 481, 8777, 15734, 2206, 281, 14774, 1963, 18, 8859, 4770, 1175, 4137, 6732, 3893, 16, 374, 1542, 15734, 783, 906, 37149, 9771, 12984, 2665, 289, 1623, 6906, 505, 27803, 416, 14016, 18, 2, 1, 87, 1456, 81, 2448, 30, 50098, 429, 5183, 354, 626, 45641, 281, 25350, 2392, 301, 12988, 798, 289, 840, 16685, 10616, 18, 13116, 2888, 47376, 31629, 2630, 424, 4713, 322, 7155, 411, 17, 431, 19508, 7925, 43914, 18, 10609, 10380, 46831, 3152, 18285, 334, 35946, 2974, 1014, 41968, 2891, 12530, 8940, 281, 3915, 4440, 779, 18, 24195, 7043, 4419, 4609, 1166, 20495, 309, 5183, 7523, 289, 21173, 454, 3741, 16695, 282, 4843, 2479, 5096, 18, 31224, 30, 822, 1994, 9906, 2272, 16564, 8786, 4534, 473, 822, 9088, 13, 6405, 2609, 1211, 9318, 5183, 354, 626, 2974, 1014, 37888, 4568, 31629, 281, 2392, 301, 17374, 6582, 510, 3003, 22033, 2444, 8396, 519, 2992, 11678 ]
[ 3734, 779, 18, 21636, 1821, 2110, 3010, 334, 25256, 10985, 2974, 1014, 282, 7570, 371, 505, 1073, 1809, 396, 27131, 7846, 16, 374, 492, 1943, 953, 16685, 987, 18060, 37283, 16, 14412, 289, 2726, 4568, 2031, 5122, 16, 1109, 478, 46088, 18, 8381, 470, 9216, 11413, 14013, 35043, 1869, 512, 18, 478, 4348, 334, 17, 6093, 15655, 22496, 16, 753, 478, 29223, 2300, 470, 17640, 18, 740, 656, 322, 41673, 21247, 5348, 282, 10264, 808, 16, 753, 322, 47895, 12893, 289, 19486, 9818, 2257, 289, 2726, 5643, 26659, 18, 5890, 1314, 6218, 16, 374, 2156, 27272, 3545, 322, 9040, 910, 510, 9848, 26363, 16, 30634, 16, 374, 478, 22393, 5311, 14141, 10120, 541, 5183, 354, 626, 510, 939, 2693, 4404, 1815, 4126, 861, 10609, 10380, 46831, 3152, 18285, 334, 35946, 2974, 1014, 41968, 2891, 12530, 8940, 281, 3915, 4440, 779, 18, 45235, 1157, 6881, 16, 374, 24389, 16, 961, 1669, 12304, 360, 1642, 294, 8744, 16, 4148, 530, 9207, 34679, 289, 11864, 281, 23001, 2913, 1330, 510, 282, 4810, 16, 15826, 28682, 560, 282, 1750, 19599, 11315, 16, 12085, 434, 16682, 289, 311, 18, 279, 18, 450, 9088, 289, 43728, 22813, 16590, 28792, 37766, 9404, 18, 365, 12500, 678, 25824, 1871, 48967, 7218, 536, 2170, 395, 18, 7200, 26474, 10659, 45641, 309, 3441, 38063, 16, 753, 1293, 45641, 37121, 2059, 37371, 18, 7409, 6029, 14022, 937, 4747, 2974, 1014, 282, 9345, 448, 43914, 18, 12962, 272, 334, 10659, 272, 45641, 282, 31678, 47736, 6622, 282, 4018, 1045, 18, 478, 672, 483, 383, 274, 1073, 2110, 8825, 16, 656, 10668, 16, 374, 8197, 24199, 424, 16045, 510, 322, 6917, 11483, 1063, 289, 39002, 11811, 4489, 30, 3253, 43914, 3164, 282, 32341, 418, 3380, 547, 4349, 910, 510, 9299, 35043, 1869, 512, 18, 31796, 9345, 416, 17213, 7846, 15088, 31615, 42571, 282, 1420, 33836, 16, 367, 14917, 16, 37113, 371, 21173, 582, 4090, 289, 24535, 5296, 952, 40330, 8227, 3960, 37888, 4669, 43914, 18, 2949, 924, 16, 35043, 1869, 512, 9299, 16, 374, 329, 5439, 1003, 8261, 16319, 309, 5183, 7523, 33836, 14034, 448, 3674, 411, 10059, 30, 478, 21393, 5977, 2048, 481, 349, 3674, 1110, 16, 1085, 1177, 24199, 15464, 360, 1642, 294, 8744, 861, 4756, 7824, 3050, 46010, 914, 1385, 29850, 17, 635, 26912, 4568, 16695, 473, 10768, 23809, 9827, 13, 4609, 1909, 37587, 622, 37888, 4568, 16695, 16, 28493, 1378, 334, 48976, 2392, 21345, 16, 282, 2706, 2634, 8482, 16, 367, 19465, 20495, 309, 697, 10659, 697, 424, 4713, 510, 282, 4843, 2479, 5096, 18, 478, 1295, 766, 287, 548, 309, 10659, 26515, 15298, 281, 6153, 5613, 282, 7955, 5324, 18, 439, 590, 39930, 3025, 2974, 18970, 17213, 282, 18595, 10286, 4385, 18450, 749, 1482, 2585, 13029, 1443, 5366, 5117, 16, 1413, 38542, 17345, 18249, 16, 510, 6442, 282, 3781, 17, 12495, 1902, 1091, 84, 863, 3758, 282, 10882, 18, 510, 30067, 334, 10659, 272, 282, 15935, 3171, 10286, 1209, 1195, 4379, 432, 2974, 1014, 2397, 1817, 19872, 20785, 30, 3518, 11402, 9345, 549, 2425, 17204, 282, 11063, 8334, 8775, 322, 5304, 1391, 2888, 475, 2974, 538, 16, 28493, 1453, 1800, 1195, 4379, 536, 9945, 861, 478, 8936, 12163, 2974, 1014, 281, 7097, 424, 4713, 28648, 687, 282, 1750, 23691, 37888, 4669, 43914, 16, 374, 1314, 24708, 910, 510, 36842, 282, 478, 34539, 1452, 582, 861, 824, 25036, 2241, 16, 541, 22207, 2974, 1014, 935, 371, 9423, 18942, 14813, 322, 2619, 48578, 18, 478, 780, 3488, 2292, 883, 3952, 7846, 16, 374, 21173, 343, 2974, 1014, 334, 35946, 510, 3989, 11483, 2451, 289, 21603, 1480, 6997, 5324, 910, 510, 9474, 16506, 282, 2241, 18, 824, 3163, 42436, 8840, 5821, 23809, 9827, 6816, 45695, 16, 38757, 323, 2974, 12057, 309, 20315, 895, 1852, 39558, 416, 3772, 294, 28985, 2630, 510, 32573, 17, 31978, 289, 32573, 49, 7156, 18, 1540, 2074, 553, 282, 37647, 2235, 1574, 5324, 1747, 16219, 16, 453, 428, 1372, 840, 9725, 354, 322, 281, 25788, 16, 5273, 492, 18, 478, 563, 1163, 622, 9452, 282, 970, 16, 374, 39558, 549, 10177, 282, 4729, 15209, 47724, 281, 23014, 4868, 16, 7834, 18470, 1812, 16, 510, 10050, 25414, 18, 510, 2876, 43037, 416, 38757, 323, 678, 953, 322, 895, 861, 4756, 9128, 12130, 450, 9088, 3720, 22931, 319, 405, 3153, 16, 374, 11009, 7043, 29690, 282, 3106, 48967, 37191, 7955, 6905, 43914, 289, 13523, 2974, 21055, 21877, 309, 2392, 13468, 670, 5778, 14500, 329, 32776, 15132, 1624, 1586, 1623, 2204, 2610, 19226, 2095, 43914, 282, 3507, 18, 12167, 6029, 29074, 1166, 281, 15371, 18183, 34530, 309, 6196, 2630, 411, 17, 431, 7019, 2898, 309, 17123, 17213, 18, 478, 15821, 9483, 315, 17, 412, 6180, 5625, 2630, 16, 28493, 1453, 334, 35946, 28647, 289, 749, 3219, 301, 5537, 6702, 16, 13649, 16, 2003, 38039, 16, 453, 428, 745, 1698, 19676, 11048, 289, 322, 22124, 48894, 539, 34578, 5117, 25994, 1352, 5366, 16, 510, 6881, 282, 32776, 15132, 18, 510, 365, 502, 575, 808, 10855, 6271, 16, 961, 726, 6153, 4110, 282, 5969, 1034, 672, 822, 17, 14860, 355, 16, 3043, 6178, 14425, 43785, 282, 4301, 20526, 4957, 432, 7080, 289, 4247, 9959, 30653, 432, 6431, 16, 2125, 953, 25334, 861, 2, 1, 87, 1456, 81, 2448, 30, 6706, 12241, 478, 22262, 470, 24905, 5897, 4523, 10133, 40406, 14452, 16180, 17793, 1279, 478, 780, 1154, 324, 861, 385, 2184, 16445, 13402, 6250, 620, 282, 25881, 11258, 33803, 873, 396, 8171, 18, 365, 14784, 770, 3148, 2662, 16, 24185, 1378, 13403, 2854, 17592, 635, 16, 2019, 282, 2151, 877, 5538, 281, 35669, 25307, 282, 1420, 18, 31224, 30, 1659, 441, 842, 478, 37075, 8270, 470, 281, 10099, 5364, 478, 25626, 470, 28076, 282, 421, 14604, 281, 7640, 17, 25822, 416, 5688, 761, 18, 16923, 520, 678, 6906, 478, 363, 5361, 337, 712, 718, 470, 41896, 5517, 44570, 14074, 18, 3654, 17, 299, 282, 33803, 1212, 16690, 281, 17696, 505, 20150, 14497, 7336, 14943, 9880, 8367, 11850, 307, 478, 1431, 1798, 470, 19547, 17166, 18, 4852, 11954, 411, 478, 672, 2679, 8666, 470, 9031, 282, 3971, 24422, 1742, 6413, 16, 1029, 281, 13470, 30046, 942, 639, 7818, 478, 267, 1153, 17, 296, 804, 17, 18967, 1116, 861, 3647, 5872, 13755, 281, 48575, 16, 39994, 289, 734, 3347, 898, 22578, 712, 933, 10001, 18, 6831, 11462, 687, 2197, 19186, 6285, 782, 265, 16, 2645, 4749, 4153, 2888, 11703, 516, 25620, 281, 6973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3734, 779, 18, 21636, 1821, 2110, 3010, 334, 25256, 10985, 2974, 1014, 282, 7570, 371, 505, 1073, 1809, 396, 27131, 7846, 16, 374, 492, 1943, 953, 16685, 987, 18060, 37283, 16, 14412, 289, 2726, 4568, 2031, 5122, 16, 1109, 478, 46088, 18, 8381, 470, 9216, 11413, 14013, 35043, 1869, 512, 18, 478, 4348, 334, 17, 6093, 15655, 22496, 16, 753, 478, 29223, 2300, 470, 17640, 18, 740, 656, 322, 41673, 21247, 5348, 282, 10264, 808, 16, 753, 322, 47895, 12893, 289, 19486, 9818, 2257, 289, 2726, 5643, 26659, 18, 5890, 1314, 6218, 16, 374, 2156, 27272, 3545, 322, 9040, 910, 510, 9848, 26363, 16, 30634, 16, 374, 478, 22393, 5311, 14141, 10120, 541, 5183, 354, 626, 510, 939, 2693, 4404, 1815, 4126, 861, 10609, 10380, 46831, 3152, 18285, 334, 35946, 2974, 1014, 41968, 2891, 12530, 8940, 281, 3915, 4440, 779, 18, 45235, 1157, 6881, 16, 374, 24389, 16, 961, 1669, 12304, 360, 1642, 294, 8744, 16, 4148, 530, 9207, 34679, 289, 11864, 281, 23001, 2913, 1330, 510, 282, 4810, 16, 15826, 28682, 560, 282, 1750, 19599, 11315, 16, 12085, 434, 16682, 289, 311, 18, 279, 18, 450, 9088, 289, 43728, 22813, 16590, 28792, 37766, 9404, 18, 365, 12500, 678, 25824, 1871, 48967, 7218, 536, 2170, 395, 18, 7200, 26474, 10659, 45641, 309, 3441, 38063, 16, 753, 1293, 45641, 37121, 2059, 37371, 18, 7409, 6029, 14022, 937, 4747, 2974, 1014, 282, 9345, 448, 43914, 18, 12962, 272, 334, 10659, 272, 45641, 282, 31678, 47736, 6622, 282, 4018, 1045, 18, 478, 672, 483, 383, 274, 1073, 2110, 8825, 16, 656, 10668, 16, 374, 8197, 24199, 424, 16045, 510, 322, 6917, 11483, 1063, 289, 39002, 11811, 4489, 30, 3253, 43914, 3164, 282, 32341, 418, 3380, 547, 4349, 910, 510, 9299, 35043, 1869, 512, 18, 31796, 9345, 416, 17213, 7846, 15088, 31615, 42571, 282, 1420, 33836, 16, 367, 14917, 16, 37113, 371, 21173, 582, 4090, 289, 24535, 5296, 952, 40330, 8227, 3960, 37888, 4669, 43914, 18, 2949, 924, 16, 35043, 1869, 512, 9299, 16, 374, 329, 5439, 1003, 8261, 16319, 309, 5183, 7523, 33836, 14034, 448, 3674, 411, 10059, 30, 478, 21393, 5977, 2048, 481, 349, 3674, 1110, 16, 1085, 1177, 24199, 15464, 360, 1642, 294, 8744, 861, 4756, 7824, 3050, 46010, 914, 1385, 29850, 17, 635, 26912, 4568, 16695, 473, 10768, 23809, 9827, 13, 4609, 1909, 37587, 622, 37888, 4568, 16695, 16, 28493, 1378, 334, 48976, 2392, 21345, 16, 282, 2706, 2634, 8482, 16, 367, 19465, 20495, 309, 697, 10659, 697, 424, 4713, 510, 282, 4843, 2479, 5096, 18, 478, 1295, 766, 287, 548, 309, 10659, 26515, 15298, 281, 6153, 5613, 282, 7955, 5324, 18, 439, 590, 39930, 3025, 2974, 18970, 17213, 282, 18595, 10286, 4385, 18450, 749, 1482, 2585, 13029, 1443, 5366, 5117, 16, 1413, 38542, 17345, 18249, 16, 510, 6442, 282, 3781, 17, 12495, 1902, 1091, 84, 863, 3758, 282, 10882, 18, 510, 30067, 334, 10659, 272, 282, 15935, 3171, 10286, 1209, 1195, 4379, 432, 2974, 1014, 2397, 1817, 19872, 20785, 30, 3518, 11402, 9345, 549, 2425, 17204, 282, 11063, 8334, 8775, 322, 5304, 1391, 2888, 475, 2974, 538, 16, 28493, 1453, 1800, 1195, 4379, 536, 9945, 861, 478, 8936, 12163, 2974, 1014, 281, 7097, 424, 4713, 28648, 687, 282, 1750, 23691, 37888, 4669, 43914, 16, 374, 1314, 24708, 910, 510, 36842, 282, 478, 34539, 1452, 582, 861, 824, 25036, 2241, 16, 541, 22207, 2974, 1014, 935, 371, 9423, 18942, 14813, 322, 2619, 48578, 18, 478, 780, 3488, 2292, 883, 3952, 7846, 16, 374, 21173, 343, 2974, 1014, 334, 35946, 510, 3989, 11483, 2451, 289, 21603, 1480, 6997, 5324, 910, 510, 9474, 16506, 282, 2241, 18, 824, 3163, 42436, 8840, 5821, 23809, 9827, 6816, 45695, 16, 38757, 323, 2974, 12057, 309, 20315, 895, 1852, 39558, 416, 3772, 294, 28985, 2630, 510, 32573, 17, 31978, 289, 32573, 49, 7156, 18, 1540, 2074, 553, 282, 37647, 2235, 1574, 5324, 1747, 16219, 16, 453, 428, 1372, 840, 9725, 354, 322, 281, 25788, 16, 5273, 492, 18, 478, 563, 1163, 622, 9452, 282, 970, 16, 374, 39558, 549, 10177, 282, 4729, 15209, 47724, 281, 23014, 4868, 16, 7834, 18470, 1812, 16, 510, 10050, 25414, 18, 510, 2876, 43037, 416, 38757, 323, 678, 953, 322, 895, 861, 4756, 9128, 12130, 450, 9088, 3720, 22931, 319, 405, 3153, 16, 374, 11009, 7043, 29690, 282, 3106, 48967, 37191, 7955, 6905, 43914, 289, 13523, 2974, 21055, 21877, 309, 2392, 13468, 670, 5778, 14500, 329, 32776, 15132, 1624, 1586, 1623, 2204, 2610, 19226, 2095, 43914, 282, 3507, 18, 12167, 6029, 29074, 1166, 281, 15371, 18183, 34530, 309, 6196, 2630, 411, 17, 431, 7019, 2898, 309, 17123, 17213, 18, 478, 15821, 9483, 315, 17, 412, 6180, 5625, 2630, 16, 28493, 1453, 334, 35946, 28647, 289, 749, 3219, 301, 5537, 6702, 16, 13649, 16, 2003, 38039, 16, 453, 428, 745, 1698, 19676, 11048, 289, 322, 22124, 48894, 539, 34578, 5117, 25994, 1352, 5366, 16, 510, 6881, 282, 32776, 15132, 18, 510, 365, 502, 575, 808, 10855, 6271, 16, 961, 726, 6153, 4110, 282, 5969, 1034, 672, 822, 17, 14860, 355, 16, 3043, 6178, 14425, 43785, 282, 4301, 20526, 4957, 432, 7080, 289, 4247, 9959, 30653, 432, 6431, 16, 2125, 953, 25334, 861, 2, 1, 87, 1456, 81, 2448, 30, 6706, 12241, 478, 22262, 470, 24905, 5897, 4523, 10133, 40406, 14452, 16180, 17793, 1279, 478, 780, 1154, 324, 861, 385, 2184, 16445, 13402, 6250, 620, 282, 25881, 11258, 33803, 873, 396, 8171, 18, 365, 14784, 770, 3148, 2662, 16, 24185, 1378, 13403, 2854, 17592, 635, 16, 2019, 282, 2151, 877, 5538, 281, 35669, 25307, 282, 1420, 18, 31224, 30, 1659, 441, 842, 478, 37075, 8270, 470, 281, 10099, 5364, 478, 25626, 470, 28076, 282, 421, 14604, 281, 7640, 17, 25822, 416, 5688, 761, 18, 16923, 520, 678, 6906, 478, 363, 5361, 337, 712, 718, 470, 41896, 5517, 44570, 14074, 18, 3654, 17, 299, 282, 33803, 1212, 16690, 281, 17696, 505, 20150, 14497, 7336, 14943, 9880, 8367, 11850, 307, 478, 1431, 1798, 470, 19547, 17166, 18, 4852, 11954, 411, 478, 672, 2679, 8666, 470, 9031, 282, 3971, 24422, 1742, 6413, 16, 1029, 281, 13470, 30046, 942, 639, 7818, 478, 267, 1153, 17, 296, 804, 17, 18967, 1116, 861, 3647, 5872, 13755, 281, 48575, 16, 39994, 289, 734, 3347, 898, 22578, 712, 933, 10001, 18, 6831, 11462, 687, 2197, 19186, 6285, 782, 265, 16, 2645, 4749, 4153, 2888, 11703, 516, 25620, 281, 6973 ]
[ 3021, 23242, 10478, 16, 13788, 507, 5229, 282, 15552, 1146, 1136, 21863, 2466, 42519, 33329, 571, 353, 20190, 13011, 16, 33958, 8694, 15124, 319, 10404, 764, 519, 36272, 16, 581, 14148, 3412, 2808, 7796, 12991, 281, 15005, 6123, 16, 898, 749, 22578, 712, 680, 45878, 3847, 18, 478, 780, 14604, 470, 473, 732, 4673, 274, 13, 510, 478, 22262, 470, 473, 40683, 17, 9400, 16, 3771, 13, 1032, 3972, 16, 12241, 16, 3703, 18, 6427, 21014, 421, 14604, 16, 478, 23739, 17, 14237, 331, 470, 31818, 30, 21472, 1034, 9317, 1368, 473, 14792, 783, 13, 37252, 510, 3703, 18, 6427, 2839, 345, 4767, 504, 684, 478, 780, 2025, 2587, 11593, 491, 18, 12770, 510, 816, 18, 3324, 510, 491, 18, 12695, 3138, 36882, 478, 32485, 18, 8381, 470, 349, 1421, 281, 16401, 4177, 16, 374, 3539, 706, 9438, 519, 21759, 324, 16, 11189, 685, 1293, 445, 13202, 1519, 10193, 44462, 266, 403, 34649, 16, 19058, 319, 16, 2006, 3455, 282, 12013, 1175, 16445, 45994, 289, 3779, 968, 16, 828, 282, 1708, 355, 18009, 4738, 323, 35772, 16879, 16, 7945, 16, 428, 11763, 411, 15789, 282, 5482, 21759, 324, 289, 309, 32689, 16, 367, 1038, 13190, 649, 10864, 21088, 13784, 18090, 478, 292, 521, 293, 1558, 1017, 820, 4811, 470, 282, 14157, 2241, 18, 1178, 16220, 478, 25626, 470, 309, 478, 23739, 17, 14237, 331, 470, 840, 29848, 1954, 281, 2733, 575, 17051, 979, 16, 349, 8999, 49181, 34132, 399, 29755, 36922, 18, 49029, 343, 12959, 4442, 5820, 20455, 17, 296, 804, 17, 18967, 1116, 35626, 306, 620, 16, 1692, 6279, 1188, 10212, 304, 18, 4852, 2972, 5739, 3989, 941, 1042, 451, 30038, 403, 34649, 16, 1029, 282, 6104, 11258, 2581, 811, 478, 48276, 1116, 470, 17527, 304, 16, 3619, 334, 13265, 18186, 27263, 17345, 48195, 289, 685, 35760, 3775, 5298, 4466, 281, 14118, 289, 478, 45380, 470, 309, 29011, 478, 672, 16265, 1212, 861, 8589, 11022, 27077, 14497, 21861, 16, 986, 512, 1757, 17126, 8616, 586, 819, 315, 4246, 300, 1123, 345, 309, 10133, 349, 4378, 13440, 282, 2151, 877, 5538, 18, 385, 478, 420, 820, 47811, 470, 322, 590, 6329, 731, 1166, 16, 8168, 441, 700, 282, 21834, 322, 9569, 6737, 18, 421, 14604, 12953, 20282, 416, 18503, 323, 18, 2112, 33803, 718, 30042, 12504, 613, 16, 4726, 35635, 2989, 309, 37163, 622, 15557, 282, 1175, 309, 6138, 478, 397, 522, 17, 7121, 324, 910, 7813, 1133, 478, 15, 2479, 470, 17078, 414, 7683, 18, 608, 4462, 16364, 434, 8390, 8355, 887, 13768, 10684, 18, 18619, 281, 4315, 3032, 411, 5579, 17, 14723, 282, 18248, 478, 46410, 10089, 431, 470, 41639, 12908, 411, 1241, 1592, 18, 40792, 3716, 4286, 411, 37850, 29626, 3337, 2853, 2693, 289, 8522, 18, 403, 33803, 4287, 6528, 322, 639, 18, 39158, 1133, 14250, 1157, 282, 11069, 16, 281, 5045, 9988, 567, 12241, 478, 780, 14604, 861, 478, 22262, 470, 764, 537, 7633, 322, 11347, 282, 2297, 1020, 643, 1165, 309, 478, 23739, 17, 14237, 331, 910, 515, 33803, 1133, 42215, 726, 2581, 2602, 322, 2207, 669, 4857, 16, 10777, 4538, 16, 5303, 33867, 10208, 1195, 589, 26774, 309, 12161, 298, 16, 4715, 11100, 32689, 18, 10482, 16, 785, 687, 10469, 10100, 1694, 16, 2394, 19285, 6908, 15302, 25993, 25880, 281, 478, 9284, 304, 470, 289, 478, 13467, 304, 470, 457, 34545, 341, 289, 32850, 4729, 42519, 9434, 22885, 7142, 681, 1822, 680, 6233, 309, 4421, 396, 27395, 8168, 9180, 309, 32689, 18, 3510, 29196, 1011, 11047, 346, 24727, 16, 10954, 2198, 1011, 33146, 1672, 7977, 281, 439, 11920, 1605, 1098, 304, 309, 478, 672, 16265, 1212, 470, 9734, 9902, 322, 840, 18, 8079, 2950, 1949, 22912, 9806, 749, 15364, 282, 7638, 17, 326, 1484, 35, 439, 4836, 4427, 289, 4106, 6332, 3433, 478, 11889, 426, 425, 9519, 4320, 575, 5906, 33803, 933, 25467, 282, 17156, 33450, 17233, 624, 2584, 847, 281, 35995, 3746, 21759, 324, 289, 2898, 3317, 8243, 4036, 8014, 18, 42775, 613, 29144, 6329, 3451, 8503, 14714, 6571, 24743, 16, 289, 481, 2826, 9478, 309, 16043, 18, 8276, 309, 31343, 5014, 264, 39655, 798, 293, 707, 913, 16, 988, 15904, 4289, 10122, 448, 289, 4289, 17435, 21053, 18, 5043, 16, 827, 387, 29664, 2941, 309, 10122, 315, 11575, 516, 9286, 16, 2890, 11709, 13304, 294, 1420, 334, 17, 21362, 289, 20831, 30, 478, 3693, 478, 22262, 470, 39707, 1380, 13473, 5433, 8353, 6769, 840, 31281, 5966, 18, 478, 18386, 18, 8381, 470, 24905, 8063, 17, 36951, 7977, 478, 780, 14604, 470, 510, 478, 22262, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 16180, 17793, 18, 2, 1, 87, 1456, 81, 2448, 30, 1916, 5203, 11812, 478, 19059, 20385, 285, 470, 289, 41689, 1270, 478, 35807, 842, 470, 10313, 4667, 43655, 9764, 282, 1949, 18653, 1385, 1613, 2244, 7561, 2665, 17, 11622, 19, 4234, 18, 13980, 11812, 3216, 282, 30562, 23852, 45300, 271, 43536, 478, 789, 1083, 5167, 910, 367, 478, 1615, 44430, 470, 35049, 13270, 1588, 21950, 478, 1009, 5565, 426, 861, 31224, 30, 1916, 5203, 11812, 478, 19059, 20385, 285, 470, 10587, 46681, 1634, 25467, 48827, 2411, 496, 309, 29011, 26225, 16, 1029, 4426, 27304, 17, 11622, 5962, 1139, 40503, 451, 865, 18, 17829, 3626, 16410, 1195, 18902, 8563, 478, 732, 526, 265, 5881, 3347, 470, 510, 481, 428, 445, 502, 16, 374, 1513, 541, 24637, 20835, 282, 1634, 10719, 309, 46144, 18, 450, 2305, 324, 2230, 10084, 2101, 582, 7876, 2141, 18491, 309, 3655, 9518, 4289, 43970, 448, 8266, 651, 827, 322, 44984, 14775, 1602, 17, 280, 1985, 3450, 4497, 297, 17858, 1433, 16, 502, 1830, 373, 3717, 17651, 34787, 13375, 478, 35807, 36486, 470, 289, 478, 13781, 470, 349, 14007, 662, 18, 1591, 7422, 28220, 442, 5203, 523, 933, 32462, 393, 27768, 1033, 22940, 27849, 18, 30562, 9201, 1162, 478, 789, 1083, 1183, 470, 1038, 38515, 12647, 21460, 1437, 16, 21001, 961, 26579, 282, 25881, 11258, 18, 1787, 978, 282, 8616, 5053, 3655, 289, 3946, 2523, 9680, 651, 7974, 38009, 451, 18, 981, 289, 334, 35731, 2964, 2549, 9201, 778, 3216, 322, 3525, 37067, 442, 5203, 523, 413, 2986, 16, 12113, 282, 1634, 25982, 19807, 31082, 18, 18110, 1472, 7818, 11875, 27166, 27304, 17, 11622, 11088, 29707, 24009, 289, 11350, 17, 436, 441, 1243, 291, 613, 30236, 8045, 307, 6235, 1624, 753, 3670, 16, 5870, 895, 953, 32691, 15258, 1162, 7193, 18, 889 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3021, 23242, 10478, 16, 13788, 507, 5229, 282, 15552, 1146, 1136, 21863, 2466, 42519, 33329, 571, 353, 20190, 13011, 16, 33958, 8694, 15124, 319, 10404, 764, 519, 36272, 16, 581, 14148, 3412, 2808, 7796, 12991, 281, 15005, 6123, 16, 898, 749, 22578, 712, 680, 45878, 3847, 18, 478, 780, 14604, 470, 473, 732, 4673, 274, 13, 510, 478, 22262, 470, 473, 40683, 17, 9400, 16, 3771, 13, 1032, 3972, 16, 12241, 16, 3703, 18, 6427, 21014, 421, 14604, 16, 478, 23739, 17, 14237, 331, 470, 31818, 30, 21472, 1034, 9317, 1368, 473, 14792, 783, 13, 37252, 510, 3703, 18, 6427, 2839, 345, 4767, 504, 684, 478, 780, 2025, 2587, 11593, 491, 18, 12770, 510, 816, 18, 3324, 510, 491, 18, 12695, 3138, 36882, 478, 32485, 18, 8381, 470, 349, 1421, 281, 16401, 4177, 16, 374, 3539, 706, 9438, 519, 21759, 324, 16, 11189, 685, 1293, 445, 13202, 1519, 10193, 44462, 266, 403, 34649, 16, 19058, 319, 16, 2006, 3455, 282, 12013, 1175, 16445, 45994, 289, 3779, 968, 16, 828, 282, 1708, 355, 18009, 4738, 323, 35772, 16879, 16, 7945, 16, 428, 11763, 411, 15789, 282, 5482, 21759, 324, 289, 309, 32689, 16, 367, 1038, 13190, 649, 10864, 21088, 13784, 18090, 478, 292, 521, 293, 1558, 1017, 820, 4811, 470, 282, 14157, 2241, 18, 1178, 16220, 478, 25626, 470, 309, 478, 23739, 17, 14237, 331, 470, 840, 29848, 1954, 281, 2733, 575, 17051, 979, 16, 349, 8999, 49181, 34132, 399, 29755, 36922, 18, 49029, 343, 12959, 4442, 5820, 20455, 17, 296, 804, 17, 18967, 1116, 35626, 306, 620, 16, 1692, 6279, 1188, 10212, 304, 18, 4852, 2972, 5739, 3989, 941, 1042, 451, 30038, 403, 34649, 16, 1029, 282, 6104, 11258, 2581, 811, 478, 48276, 1116, 470, 17527, 304, 16, 3619, 334, 13265, 18186, 27263, 17345, 48195, 289, 685, 35760, 3775, 5298, 4466, 281, 14118, 289, 478, 45380, 470, 309, 29011, 478, 672, 16265, 1212, 861, 8589, 11022, 27077, 14497, 21861, 16, 986, 512, 1757, 17126, 8616, 586, 819, 315, 4246, 300, 1123, 345, 309, 10133, 349, 4378, 13440, 282, 2151, 877, 5538, 18, 385, 478, 420, 820, 47811, 470, 322, 590, 6329, 731, 1166, 16, 8168, 441, 700, 282, 21834, 322, 9569, 6737, 18, 421, 14604, 12953, 20282, 416, 18503, 323, 18, 2112, 33803, 718, 30042, 12504, 613, 16, 4726, 35635, 2989, 309, 37163, 622, 15557, 282, 1175, 309, 6138, 478, 397, 522, 17, 7121, 324, 910, 7813, 1133, 478, 15, 2479, 470, 17078, 414, 7683, 18, 608, 4462, 16364, 434, 8390, 8355, 887, 13768, 10684, 18, 18619, 281, 4315, 3032, 411, 5579, 17, 14723, 282, 18248, 478, 46410, 10089, 431, 470, 41639, 12908, 411, 1241, 1592, 18, 40792, 3716, 4286, 411, 37850, 29626, 3337, 2853, 2693, 289, 8522, 18, 403, 33803, 4287, 6528, 322, 639, 18, 39158, 1133, 14250, 1157, 282, 11069, 16, 281, 5045, 9988, 567, 12241, 478, 780, 14604, 861, 478, 22262, 470, 764, 537, 7633, 322, 11347, 282, 2297, 1020, 643, 1165, 309, 478, 23739, 17, 14237, 331, 910, 515, 33803, 1133, 42215, 726, 2581, 2602, 322, 2207, 669, 4857, 16, 10777, 4538, 16, 5303, 33867, 10208, 1195, 589, 26774, 309, 12161, 298, 16, 4715, 11100, 32689, 18, 10482, 16, 785, 687, 10469, 10100, 1694, 16, 2394, 19285, 6908, 15302, 25993, 25880, 281, 478, 9284, 304, 470, 289, 478, 13467, 304, 470, 457, 34545, 341, 289, 32850, 4729, 42519, 9434, 22885, 7142, 681, 1822, 680, 6233, 309, 4421, 396, 27395, 8168, 9180, 309, 32689, 18, 3510, 29196, 1011, 11047, 346, 24727, 16, 10954, 2198, 1011, 33146, 1672, 7977, 281, 439, 11920, 1605, 1098, 304, 309, 478, 672, 16265, 1212, 470, 9734, 9902, 322, 840, 18, 8079, 2950, 1949, 22912, 9806, 749, 15364, 282, 7638, 17, 326, 1484, 35, 439, 4836, 4427, 289, 4106, 6332, 3433, 478, 11889, 426, 425, 9519, 4320, 575, 5906, 33803, 933, 25467, 282, 17156, 33450, 17233, 624, 2584, 847, 281, 35995, 3746, 21759, 324, 289, 2898, 3317, 8243, 4036, 8014, 18, 42775, 613, 29144, 6329, 3451, 8503, 14714, 6571, 24743, 16, 289, 481, 2826, 9478, 309, 16043, 18, 8276, 309, 31343, 5014, 264, 39655, 798, 293, 707, 913, 16, 988, 15904, 4289, 10122, 448, 289, 4289, 17435, 21053, 18, 5043, 16, 827, 387, 29664, 2941, 309, 10122, 315, 11575, 516, 9286, 16, 2890, 11709, 13304, 294, 1420, 334, 17, 21362, 289, 20831, 30, 478, 3693, 478, 22262, 470, 39707, 1380, 13473, 5433, 8353, 6769, 840, 31281, 5966, 18, 478, 18386, 18, 8381, 470, 24905, 8063, 17, 36951, 7977, 478, 780, 14604, 470, 510, 478, 22262, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 16180, 17793, 18, 2, 1, 87, 1456, 81, 2448, 30, 1916, 5203, 11812, 478, 19059, 20385, 285, 470, 289, 41689, 1270, 478, 35807, 842, 470, 10313, 4667, 43655, 9764, 282, 1949, 18653, 1385, 1613, 2244, 7561, 2665, 17, 11622, 19, 4234, 18, 13980, 11812, 3216, 282, 30562, 23852, 45300, 271, 43536, 478, 789, 1083, 5167, 910, 367, 478, 1615, 44430, 470, 35049, 13270, 1588, 21950, 478, 1009, 5565, 426, 861, 31224, 30, 1916, 5203, 11812, 478, 19059, 20385, 285, 470, 10587, 46681, 1634, 25467, 48827, 2411, 496, 309, 29011, 26225, 16, 1029, 4426, 27304, 17, 11622, 5962, 1139, 40503, 451, 865, 18, 17829, 3626, 16410, 1195, 18902, 8563, 478, 732, 526, 265, 5881, 3347, 470, 510, 481, 428, 445, 502, 16, 374, 1513, 541, 24637, 20835, 282, 1634, 10719, 309, 46144, 18, 450, 2305, 324, 2230, 10084, 2101, 582, 7876, 2141, 18491, 309, 3655, 9518, 4289, 43970, 448, 8266, 651, 827, 322, 44984, 14775, 1602, 17, 280, 1985, 3450, 4497, 297, 17858, 1433, 16, 502, 1830, 373, 3717, 17651, 34787, 13375, 478, 35807, 36486, 470, 289, 478, 13781, 470, 349, 14007, 662, 18, 1591, 7422, 28220, 442, 5203, 523, 933, 32462, 393, 27768, 1033, 22940, 27849, 18, 30562, 9201, 1162, 478, 789, 1083, 1183, 470, 1038, 38515, 12647, 21460, 1437, 16, 21001, 961, 26579, 282, 25881, 11258, 18, 1787, 978, 282, 8616, 5053, 3655, 289, 3946, 2523, 9680, 651, 7974, 38009, 451, 18, 981, 289, 334, 35731, 2964, 2549, 9201, 778, 3216, 322, 3525, 37067, 442, 5203, 523, 413, 2986, 16, 12113, 282, 1634, 25982, 19807, 31082, 18, 18110, 1472, 7818, 11875, 27166, 27304, 17, 11622, 11088, 29707, 24009, 289, 11350, 17, 436, 441, 1243, 291, 613, 30236, 8045, 307, 6235, 1624, 753, 3670, 16, 5870, 895, 953, 32691, 15258, 1162, 7193, 18, 889 ]
[ 11661, 289, 2615, 44368, 37358, 16, 1029, 14366, 935, 322, 282, 33022, 8384, 16, 367, 281, 18627, 37751, 17701, 4629, 18, 5043, 16, 13836, 32054, 411, 978, 14125, 745, 322, 25245, 326, 16, 322, 1650, 275, 329, 7889, 32737, 334, 17, 11863, 22711, 25592, 18, 608, 21166, 2466, 38009, 434, 5641, 19846, 29296, 1519, 519, 36725, 6394, 16, 515, 282, 9258, 1815, 2083, 329, 1129, 2950, 374, 19846, 18, 24899, 575, 39704, 751, 7736, 322, 37054, 1151, 18, 996, 374, 294, 34979, 2594, 2948, 309, 47366, 685, 1574, 575, 16, 428, 289, 1188, 2384, 1313, 651, 2239, 30, 20, 18, 17580, 13004, 5790, 17960, 1320, 322, 1543, 1154, 282, 1190, 4700, 17, 3697, 5263, 541, 2964, 2549, 9201, 680, 4966, 18, 14097, 32079, 282, 970, 575, 12065, 482, 16, 374, 289, 282, 5572, 44056, 18, 2046, 309, 17736, 17, 295, 20537, 8462, 32462, 478, 19059, 20385, 419, 470, 685, 12523, 1390, 567, 3025, 901, 409, 16, 785, 4446, 26450, 414, 1595, 8970, 31328, 2083, 282, 8267, 18, 17738, 442, 5203, 523, 11701, 39303, 385, 4654, 1011, 10376, 19340, 2334, 10827, 8758, 394, 7730, 9532, 598, 10823, 5335, 282, 32386, 6421, 651, 430, 30, 20, 282, 4356, 7646, 18, 2112, 1763, 38120, 32657, 42222, 478, 19059, 20385, 419, 470, 7835, 19679, 309, 5199, 309, 34565, 333, 1408, 16, 47579, 6159, 2837, 16432, 478, 789, 1083, 950, 861, 2046, 15014, 5823, 1139, 2792, 1891, 17847, 9471, 16, 289, 697, 5514, 4381, 3193, 7835, 445, 2111, 751, 18, 11474, 4446, 3005, 13342, 2948, 16, 828, 42222, 411, 10208, 11007, 505, 3221, 2795, 18, 740, 282, 6031, 442, 5203, 523, 413, 2986, 541, 9764, 11576, 289, 2236, 1763, 38120, 37253, 18, 450, 2305, 324, 2230, 10084, 2101, 582, 7876, 10313, 4583, 12376, 8955, 282, 1949, 21273, 289, 2397, 3077, 539, 3400, 12994, 281, 41689, 2306, 478, 35807, 26100, 470, 510, 334, 5270, 18, 459, 4410, 1426, 558, 8469, 2906, 9764, 898, 322, 7071, 31384, 16, 428, 329, 478, 1615, 34413, 910, 515, 282, 6449, 1750, 1055, 442, 5203, 523, 30716, 281, 16213, 3717, 17651, 13375, 4027, 277, 3755, 5985, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 789, 1083, 1183, 470, 510, 478, 19059, 20385, 285, 861, 528, 5565, 332, 510, 19792, 842, 473, 822, 1985, 273, 13, 376, 430, 30, 23, 34230, 30, 8860, 390, 2882, 16, 17911, 376, 421, 11773, 441, 1231, 16, 17530, 31, 22201, 7779, 278, 262, 16, 16279, 31, 17535, 501, 268, 8293, 16, 6374, 15, 23, 2776, 513, 548, 510, 29368, 390, 10237, 376, 430, 30, 25, 34230, 30, 17630, 1504, 288, 16, 4317, 376, 32261, 6235, 16, 1912, 16, 1760, 31, 5819, 6587, 16, 2261, 16, 19670, 31, 22277, 405, 16, 26746, 6315, 275, 296, 4069, 510, 4015, 547, 262, 3733, 473, 630, 476, 8561, 13, 376, 430, 30, 20, 4800, 30, 403, 8112, 342, 16, 2706, 9046, 4990, 14007, 2665, 41689, 1270, 478, 35807, 842, 470, 9280, 1423, 2566, 668, 3892, 278, 16, 44866, 1139, 47074, 12544, 282, 31277, 18, 365, 5572, 28220, 478, 1615, 44430, 470, 309, 478, 26181, 296, 4069, 17, 441, 1414, 470, 2802, 23593, 14775, 778, 478, 31742, 300, 470, 477, 12932, 1286, 30, 20, 16, 367, 567, 7422, 651, 10313, 4667, 3893, 668, 17527, 668, 8955, 1195, 708, 441, 19308, 680, 478, 1009, 5565, 5499, 861, 7200, 44368, 5790, 282, 9711, 2947, 263, 6382, 749, 1763, 29576, 42875, 16, 515, 567, 2992, 11053, 5790, 4446, 49587, 8462, 18, 365, 505, 3998, 26634, 421, 11773, 441, 1231, 289, 22201, 7779, 278, 262, 282, 3178, 2059, 7130, 5658, 13852, 7977, 502, 6150, 33689, 18, 8859, 19667, 778, 39914, 17363, 726, 7504, 774, 282, 11258, 18, 19770, 3583, 4629, 309, 17911, 17, 295, 20537, 2859, 6397, 414, 1176, 11216, 31273, 29532, 718, 24900, 837, 9746, 405, 8860, 390, 7876, 1624, 515, 282, 21312, 14570, 808, 10618, 17535, 501, 2325, 4522, 364, 16432, 7646, 282, 1272, 32657, 651, 816, 30, 21, 18, 5333, 2175, 16, 8432, 30716, 282, 1949, 18653, 1385, 12496, 1165, 322, 687, 8074, 326, 5270, 12994, 16, 515, 289, 45468, 18101, 10384, 42875, 18, 3557, 3818, 21166, 2497, 9746, 447, 3183, 500, 272, 5416, 7863, 3670, 8972, 2675, 16, 374, 282, 25881, 12013, 349, 478, 1615, 465, 1082, 470, 322, 1355, 324, 506, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1009, 5565, 332, 470, 510, 478, 35807, 842, 470, 473, 822, 1985, 273, 814, 27784, 16355, 1262, 22569, 673, 40437, 478, 732, 526, 265, 5881, 613, 910, 6709, 16, 939, 3525, 14370, 2602, 289, 41398, 16317, 1011, 14248, 282, 37362, 309, 46144, 16, 289, 5658, 387, 482, 2888, 2651, 34218, 309, 11671, 7739, 4044, 16, 3279, 2458, 478, 13802, 513, 548, 861, 8615, 19015, 49211, 718, 7586, 5823, 4726, 322, 6354, 294, 10021, 1433, 281, 2733, 24853, 13059, 7739, 2409, 289, 309, 4837, 329, 1634, 25467, 27286, 2853, 16, 428, 46300, 309, 7196, 298, 18, 3739, 282, 5572, 44056, 16, 935, 282, 5487, 1760, 1879, 16, 4426, 8440, 623, 27585, 32261, 6235, 289, 45796, 46850, 5819, 6587, 367, 16, 4446, 5658, 5773, 475, 3586, 9949, 36579, 282, 8267, 18, 19770, 3583, 6371, 282, 1190, 3402, 8055, 309, 1574, 28910, 42594, 16714, 17630, 1504, 936, 309, 4317, 17, 295, 20537, 16, 515, 309, 803, 3402, 329, 1129, 289, 47397, 18, 1591, 7422, 44056, 5819, 6587, 13721, 271, 8440, 526, 289, 3404, 2948, 16536, 536, 16, 367, 424, 45711, 7977, 40439, 22277, 405, 2558, 310, 16432, 478, 732, 526, 265, 5881, 613, 470, 519, 2701, 1334, 434, 651, 1061, 30, 21, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 13802, 513, 548, 470, 510, 478, 732, 526, 265, 390, 10237, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 7561, 2665, 334, 15749, 18, 2, 1, 87, 1456, 81, 2448, 30, 4182, 2438, 3665, 411, 3781, 17, 3484, 431, 16, 5241, 2198, 40318, 5574, 20930, 44431, 21617, 236, 72, 12686, 1442, 565, 765, 16, 625, 5162, 324, 45170, 6235, 38947, 22647, 4624, 12231, 19201, 44431, 10923, 12686, 1442, 565, 765, 289, 22028, 2545, 10722, 8300, 31063, 9630, 1185, 11, 51, 34029, 6098, 282, 1175, 18, 31224, 30, 471, 563, 430, 3597, 16642, 779, 2990, 309, 10958, 7583, 7475, 9630, 1185, 11, 51, 34029, 6098, 639, 44356, 32369, 680, 8933, 439, 5100, 18, 2151, 2099, 10962, 451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11661, 289, 2615, 44368, 37358, 16, 1029, 14366, 935, 322, 282, 33022, 8384, 16, 367, 281, 18627, 37751, 17701, 4629, 18, 5043, 16, 13836, 32054, 411, 978, 14125, 745, 322, 25245, 326, 16, 322, 1650, 275, 329, 7889, 32737, 334, 17, 11863, 22711, 25592, 18, 608, 21166, 2466, 38009, 434, 5641, 19846, 29296, 1519, 519, 36725, 6394, 16, 515, 282, 9258, 1815, 2083, 329, 1129, 2950, 374, 19846, 18, 24899, 575, 39704, 751, 7736, 322, 37054, 1151, 18, 996, 374, 294, 34979, 2594, 2948, 309, 47366, 685, 1574, 575, 16, 428, 289, 1188, 2384, 1313, 651, 2239, 30, 20, 18, 17580, 13004, 5790, 17960, 1320, 322, 1543, 1154, 282, 1190, 4700, 17, 3697, 5263, 541, 2964, 2549, 9201, 680, 4966, 18, 14097, 32079, 282, 970, 575, 12065, 482, 16, 374, 289, 282, 5572, 44056, 18, 2046, 309, 17736, 17, 295, 20537, 8462, 32462, 478, 19059, 20385, 419, 470, 685, 12523, 1390, 567, 3025, 901, 409, 16, 785, 4446, 26450, 414, 1595, 8970, 31328, 2083, 282, 8267, 18, 17738, 442, 5203, 523, 11701, 39303, 385, 4654, 1011, 10376, 19340, 2334, 10827, 8758, 394, 7730, 9532, 598, 10823, 5335, 282, 32386, 6421, 651, 430, 30, 20, 282, 4356, 7646, 18, 2112, 1763, 38120, 32657, 42222, 478, 19059, 20385, 419, 470, 7835, 19679, 309, 5199, 309, 34565, 333, 1408, 16, 47579, 6159, 2837, 16432, 478, 789, 1083, 950, 861, 2046, 15014, 5823, 1139, 2792, 1891, 17847, 9471, 16, 289, 697, 5514, 4381, 3193, 7835, 445, 2111, 751, 18, 11474, 4446, 3005, 13342, 2948, 16, 828, 42222, 411, 10208, 11007, 505, 3221, 2795, 18, 740, 282, 6031, 442, 5203, 523, 413, 2986, 541, 9764, 11576, 289, 2236, 1763, 38120, 37253, 18, 450, 2305, 324, 2230, 10084, 2101, 582, 7876, 10313, 4583, 12376, 8955, 282, 1949, 21273, 289, 2397, 3077, 539, 3400, 12994, 281, 41689, 2306, 478, 35807, 26100, 470, 510, 334, 5270, 18, 459, 4410, 1426, 558, 8469, 2906, 9764, 898, 322, 7071, 31384, 16, 428, 329, 478, 1615, 34413, 910, 515, 282, 6449, 1750, 1055, 442, 5203, 523, 30716, 281, 16213, 3717, 17651, 13375, 4027, 277, 3755, 5985, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 789, 1083, 1183, 470, 510, 478, 19059, 20385, 285, 861, 528, 5565, 332, 510, 19792, 842, 473, 822, 1985, 273, 13, 376, 430, 30, 23, 34230, 30, 8860, 390, 2882, 16, 17911, 376, 421, 11773, 441, 1231, 16, 17530, 31, 22201, 7779, 278, 262, 16, 16279, 31, 17535, 501, 268, 8293, 16, 6374, 15, 23, 2776, 513, 548, 510, 29368, 390, 10237, 376, 430, 30, 25, 34230, 30, 17630, 1504, 288, 16, 4317, 376, 32261, 6235, 16, 1912, 16, 1760, 31, 5819, 6587, 16, 2261, 16, 19670, 31, 22277, 405, 16, 26746, 6315, 275, 296, 4069, 510, 4015, 547, 262, 3733, 473, 630, 476, 8561, 13, 376, 430, 30, 20, 4800, 30, 403, 8112, 342, 16, 2706, 9046, 4990, 14007, 2665, 41689, 1270, 478, 35807, 842, 470, 9280, 1423, 2566, 668, 3892, 278, 16, 44866, 1139, 47074, 12544, 282, 31277, 18, 365, 5572, 28220, 478, 1615, 44430, 470, 309, 478, 26181, 296, 4069, 17, 441, 1414, 470, 2802, 23593, 14775, 778, 478, 31742, 300, 470, 477, 12932, 1286, 30, 20, 16, 367, 567, 7422, 651, 10313, 4667, 3893, 668, 17527, 668, 8955, 1195, 708, 441, 19308, 680, 478, 1009, 5565, 5499, 861, 7200, 44368, 5790, 282, 9711, 2947, 263, 6382, 749, 1763, 29576, 42875, 16, 515, 567, 2992, 11053, 5790, 4446, 49587, 8462, 18, 365, 505, 3998, 26634, 421, 11773, 441, 1231, 289, 22201, 7779, 278, 262, 282, 3178, 2059, 7130, 5658, 13852, 7977, 502, 6150, 33689, 18, 8859, 19667, 778, 39914, 17363, 726, 7504, 774, 282, 11258, 18, 19770, 3583, 4629, 309, 17911, 17, 295, 20537, 2859, 6397, 414, 1176, 11216, 31273, 29532, 718, 24900, 837, 9746, 405, 8860, 390, 7876, 1624, 515, 282, 21312, 14570, 808, 10618, 17535, 501, 2325, 4522, 364, 16432, 7646, 282, 1272, 32657, 651, 816, 30, 21, 18, 5333, 2175, 16, 8432, 30716, 282, 1949, 18653, 1385, 12496, 1165, 322, 687, 8074, 326, 5270, 12994, 16, 515, 289, 45468, 18101, 10384, 42875, 18, 3557, 3818, 21166, 2497, 9746, 447, 3183, 500, 272, 5416, 7863, 3670, 8972, 2675, 16, 374, 282, 25881, 12013, 349, 478, 1615, 465, 1082, 470, 322, 1355, 324, 506, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1009, 5565, 332, 470, 510, 478, 35807, 842, 470, 473, 822, 1985, 273, 814, 27784, 16355, 1262, 22569, 673, 40437, 478, 732, 526, 265, 5881, 613, 910, 6709, 16, 939, 3525, 14370, 2602, 289, 41398, 16317, 1011, 14248, 282, 37362, 309, 46144, 16, 289, 5658, 387, 482, 2888, 2651, 34218, 309, 11671, 7739, 4044, 16, 3279, 2458, 478, 13802, 513, 548, 861, 8615, 19015, 49211, 718, 7586, 5823, 4726, 322, 6354, 294, 10021, 1433, 281, 2733, 24853, 13059, 7739, 2409, 289, 309, 4837, 329, 1634, 25467, 27286, 2853, 16, 428, 46300, 309, 7196, 298, 18, 3739, 282, 5572, 44056, 16, 935, 282, 5487, 1760, 1879, 16, 4426, 8440, 623, 27585, 32261, 6235, 289, 45796, 46850, 5819, 6587, 367, 16, 4446, 5658, 5773, 475, 3586, 9949, 36579, 282, 8267, 18, 19770, 3583, 6371, 282, 1190, 3402, 8055, 309, 1574, 28910, 42594, 16714, 17630, 1504, 936, 309, 4317, 17, 295, 20537, 16, 515, 309, 803, 3402, 329, 1129, 289, 47397, 18, 1591, 7422, 44056, 5819, 6587, 13721, 271, 8440, 526, 289, 3404, 2948, 16536, 536, 16, 367, 424, 45711, 7977, 40439, 22277, 405, 2558, 310, 16432, 478, 732, 526, 265, 5881, 613, 470, 519, 2701, 1334, 434, 651, 1061, 30, 21, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 13802, 513, 548, 470, 510, 478, 732, 526, 265, 390, 10237, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 7561, 2665, 334, 15749, 18, 2, 1, 87, 1456, 81, 2448, 30, 4182, 2438, 3665, 411, 3781, 17, 3484, 431, 16, 5241, 2198, 40318, 5574, 20930, 44431, 21617, 236, 72, 12686, 1442, 565, 765, 16, 625, 5162, 324, 45170, 6235, 38947, 22647, 4624, 12231, 19201, 44431, 10923, 12686, 1442, 565, 765, 289, 22028, 2545, 10722, 8300, 31063, 9630, 1185, 11, 51, 34029, 6098, 282, 1175, 18, 31224, 30, 471, 563, 430, 3597, 16642, 779, 2990, 309, 10958, 7583, 7475, 9630, 1185, 11, 51, 34029, 6098, 639, 44356, 32369, 680, 8933, 439, 5100, 18, 2151, 2099, 10962, 451 ]
[ 11389, 309, 10958, 7179, 1185, 11, 51, 34029, 6098, 1251, 44431, 10923, 12686, 1442, 565, 765, 289, 32369, 680, 14120, 439, 5100, 31190, 309, 5270, 986, 18, 365, 18979, 2759, 32369, 680, 3463, 510, 25096, 5969, 309, 19862, 5814, 26397, 1185, 11, 51, 34029, 6098, 16, 49499, 6374, 17, 34600, 5901, 18, 35057, 276, 17, 507, 4659, 326, 548, 1185, 11, 51, 34029, 6098, 1021, 838, 44477, 289, 1185, 11, 51, 34029, 6098, 1902, 4241, 3104, 16, 13302, 16, 1698, 1852, 41006, 282, 25801, 537, 466, 619, 3646, 1385, 28120, 18, 21818, 798, 4340, 7745, 3952, 625, 5162, 318, 309, 13314, 8300, 31063, 7179, 1185, 11, 51, 34029, 6098, 1139, 14650, 3615, 277, 541, 3338, 12917, 3281, 910, 510, 11661, 2089, 4371, 478, 46088, 18, 8381, 470, 9543, 16276, 38230, 1624, 18165, 6187, 34610, 47145, 69, 31020, 16, 2789, 6090, 282, 20448, 439, 5100, 18, 889, 47930, 645, 282, 7583, 2982, 9317, 947, 9068, 30, 753, 322, 32369, 778, 914, 703, 271, 31063, 473, 4743, 639, 5548, 282, 1750, 281, 28087, 323, 450, 707, 19219, 934, 367, 6891, 16, 32369, 778, 914, 703, 326, 424, 8300, 31063, 18, 7106, 16, 374, 667, 3598, 625, 4873, 888, 45170, 6235, 38343, 326, 411, 459, 822, 478, 16846, 1822, 470, 749, 4700, 17, 3697, 7953, 432, 11738, 18, 10110, 459, 822, 10618, 632, 353, 512, 1577, 282, 3177, 17292, 23032, 334, 2856, 5083, 1109, 16, 374, 478, 960, 15108, 40158, 40465, 17992, 539, 45442, 625, 5162, 318, 3592, 979, 1360, 14055, 20700, 282, 13312, 10268, 9630, 861, 21060, 7354, 743, 16853, 1756, 8300, 31063, 1373, 575, 18472, 17653, 632, 353, 512, 613, 651, 8909, 7323, 1162, 18, 16577, 1421, 281, 16401, 5196, 1011, 1967, 6059, 16, 282, 3998, 3597, 16, 45167, 44431, 21617, 236, 72, 12686, 1442, 565, 765, 10211, 32556, 19790, 459, 822, 478, 16846, 1822, 470, 290, 3177, 16992, 49549, 1558, 4957, 309, 10958, 9630, 18, 365, 14935, 933, 30000, 4266, 16, 374, 27713, 1185, 11, 51, 34029, 6098, 567, 5670, 898, 6993, 46119, 867, 16, 374, 2388, 14440, 12094, 839, 590, 991, 382, 898, 281, 2872, 322, 2574, 6225, 16, 2805, 1011, 924, 16, 428, 3253, 625, 5162, 324, 45170, 6235, 567, 808, 14055, 5790, 4206, 455, 21935, 26908, 718, 32369, 718, 1642, 44431, 10923, 12686, 1442, 565, 765, 4084, 17, 2997, 18895, 385, 562, 30222, 19913, 29503, 306, 5901, 290, 3177, 6751, 47179, 13882, 15369, 7025, 18, 1303, 481, 289, 13748, 294, 2733, 1252, 13432, 4075, 277, 477, 1963, 21089, 26397, 1185, 11, 51, 34029, 6098, 18, 14078, 4084, 17, 2997, 18895, 385, 562, 30222, 19913, 29503, 306, 5073, 37098, 22829, 309, 7882, 4285, 45170, 6235, 289, 722, 25400, 5366, 30, 478, 25978, 41014, 289, 42966, 16, 714, 7103, 1453, 309, 3775, 439, 5100, 16, 13302, 16, 25816, 530, 1185, 11, 51, 34029, 6098, 282, 25941, 17853, 9805, 49761, 17, 9028, 1501, 18, 24114, 411, 8058, 19072, 432, 9722, 625, 5162, 318, 45170, 6235, 282, 10264, 808, 4040, 27652, 19816, 9630, 1185, 11, 51, 34029, 6098, 282, 1175, 910, 510, 13202, 6406, 478, 46088, 18, 8381, 470, 2159, 3003, 290, 33139, 4084, 17, 2997, 18895, 385, 562, 30222, 19913, 29503, 306, 18, 824, 3352, 411, 23488, 432, 11861, 282, 459, 822, 478, 16846, 1822, 910, 6295, 477, 8753, 323, 32369, 718, 1642, 541, 8712, 7179, 1185, 11, 51, 34029, 6098, 322, 3818, 12916, 2175, 16182, 309, 10421, 2110, 27488, 289, 37766, 20696, 282, 45232, 18, 478, 4529, 16, 13649, 16, 2504, 322, 12377, 2900, 3281, 6059, 289, 1055, 374, 2504, 322, 10219, 16, 374, 840, 2915, 18, 7699, 726, 21354, 1465, 1867, 1190, 6402, 2768, 910, 651, 3828, 478, 46088, 18, 8381, 470, 309, 4190, 23488, 617, 7897, 282, 459, 822, 478, 16846, 1822, 861, 824, 505, 3163, 16, 8811, 11767, 467, 2913, 468, 30, 827, 1185, 11, 51, 34029, 6098, 1441, 2826, 840, 29653, 439, 5100, 16, 502, 13860, 16, 374, 4040, 281, 697, 32369, 1703, 15274, 16, 3387, 481, 3560, 49909, 4871, 16, 1029, 18131, 8649, 4388, 360, 13185, 18, 740, 9770, 459, 822, 478, 16846, 1822, 910, 9956, 334, 4547, 16, 20015, 11203, 349, 8054, 289, 1139, 453, 360, 505, 8712, 322, 39243, 18, 365, 1423, 3678, 459, 822, 478, 16846, 1822, 470, 322, 15279, 681, 11858, 477, 29302, 21285, 16, 289, 39205, 309, 1568, 547, 23038, 29653, 8054, 1185, 11, 51, 34029, 6098, 289, 2915, 18, 30491, 34610, 478, 16846, 1822, 470, 1576, 857, 16, 374, 5938, 24929, 281, 44431, 10923, 12686, 1442, 565, 765, 16, 459, 822, 478, 16846, 1822, 470, 322, 687, 9298, 5022, 37179, 309, 7572, 9630, 519, 5741, 3972, 4440, 779, 16, 515, 289, 5896, 3991, 12233, 309, 15045, 4090, 48408, 434, 9105, 18, 478, 14792, 3981, 1880, 45167, 1442, 565, 765, 2438, 683, 10492, 319, 282, 4459, 45556, 2294, 9630, 1185, 11, 51, 34029, 6098, 376, 3771, 4371, 290, 970, 16, 374, 281, 430, 3597, 4479, 779, 475, 3018, 309, 10958, 9630, 898, 29698, 32369, 2818, 8744, 478, 618, 5100, 910, 515, 475, 9099, 10744, 289, 26128, 19196, 6836, 309, 5689, 14964, 1066, 1598, 26120, 680, 3463, 478, 16846, 1822, 910, 309, 281, 2736, 722, 1810, 18, 608, 32369, 718, 1642, 478, 618, 5100, 470, 322, 8849, 41054, 19961, 309, 10958, 9630, 1185, 11, 51, 34029, 6098, 376, 3771, 289, 329, 813, 1003, 15251, 16, 374, 8054, 281, 2733, 670, 41050, 7848, 322, 11981, 282, 1175, 519, 9293, 1489, 12783, 3193, 48408, 434, 11418, 1251, 1598, 26120, 680, 14120, 478, 16846, 1822, 470, 289, 5574, 20930, 1442, 565, 765, 18, 1345, 289, 2915, 3984, 10846, 7572, 8401, 7475, 9630, 282, 9799, 304, 5118, 281, 5063, 5056, 3017, 1134, 8421, 289, 4624, 18302, 47131, 289, 13649, 14790, 339, 15230, 1209, 3338, 20394, 1188, 45556, 7771, 289, 10343, 297, 9534, 910, 376, 17684, 478, 46088, 18, 8381, 470, 3251, 668, 10839, 459, 822, 478, 16846, 1822, 470, 505, 18165, 6187, 4944, 49484, 18, 48646, 349, 2395, 539, 3702, 289, 9658, 1352, 12992, 45556, 1887, 1314, 3164, 282, 25008, 20002, 49658, 16, 1085, 282, 1420, 47528, 651, 25562, 808, 18, 478, 18386, 18, 8381, 470, 32033, 13254, 349, 21672, 6059, 2917, 7179, 1185, 11, 51, 34029, 6098, 2, 1, 87, 1456, 81, 2448, 30, 23441, 895, 15529, 519, 816, 9, 17850, 282, 1205, 411, 17, 431, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 861, 817, 28988, 3213, 6551, 289, 22381 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11389, 309, 10958, 7179, 1185, 11, 51, 34029, 6098, 1251, 44431, 10923, 12686, 1442, 565, 765, 289, 32369, 680, 14120, 439, 5100, 31190, 309, 5270, 986, 18, 365, 18979, 2759, 32369, 680, 3463, 510, 25096, 5969, 309, 19862, 5814, 26397, 1185, 11, 51, 34029, 6098, 16, 49499, 6374, 17, 34600, 5901, 18, 35057, 276, 17, 507, 4659, 326, 548, 1185, 11, 51, 34029, 6098, 1021, 838, 44477, 289, 1185, 11, 51, 34029, 6098, 1902, 4241, 3104, 16, 13302, 16, 1698, 1852, 41006, 282, 25801, 537, 466, 619, 3646, 1385, 28120, 18, 21818, 798, 4340, 7745, 3952, 625, 5162, 318, 309, 13314, 8300, 31063, 7179, 1185, 11, 51, 34029, 6098, 1139, 14650, 3615, 277, 541, 3338, 12917, 3281, 910, 510, 11661, 2089, 4371, 478, 46088, 18, 8381, 470, 9543, 16276, 38230, 1624, 18165, 6187, 34610, 47145, 69, 31020, 16, 2789, 6090, 282, 20448, 439, 5100, 18, 889, 47930, 645, 282, 7583, 2982, 9317, 947, 9068, 30, 753, 322, 32369, 778, 914, 703, 271, 31063, 473, 4743, 639, 5548, 282, 1750, 281, 28087, 323, 450, 707, 19219, 934, 367, 6891, 16, 32369, 778, 914, 703, 326, 424, 8300, 31063, 18, 7106, 16, 374, 667, 3598, 625, 4873, 888, 45170, 6235, 38343, 326, 411, 459, 822, 478, 16846, 1822, 470, 749, 4700, 17, 3697, 7953, 432, 11738, 18, 10110, 459, 822, 10618, 632, 353, 512, 1577, 282, 3177, 17292, 23032, 334, 2856, 5083, 1109, 16, 374, 478, 960, 15108, 40158, 40465, 17992, 539, 45442, 625, 5162, 318, 3592, 979, 1360, 14055, 20700, 282, 13312, 10268, 9630, 861, 21060, 7354, 743, 16853, 1756, 8300, 31063, 1373, 575, 18472, 17653, 632, 353, 512, 613, 651, 8909, 7323, 1162, 18, 16577, 1421, 281, 16401, 5196, 1011, 1967, 6059, 16, 282, 3998, 3597, 16, 45167, 44431, 21617, 236, 72, 12686, 1442, 565, 765, 10211, 32556, 19790, 459, 822, 478, 16846, 1822, 470, 290, 3177, 16992, 49549, 1558, 4957, 309, 10958, 9630, 18, 365, 14935, 933, 30000, 4266, 16, 374, 27713, 1185, 11, 51, 34029, 6098, 567, 5670, 898, 6993, 46119, 867, 16, 374, 2388, 14440, 12094, 839, 590, 991, 382, 898, 281, 2872, 322, 2574, 6225, 16, 2805, 1011, 924, 16, 428, 3253, 625, 5162, 324, 45170, 6235, 567, 808, 14055, 5790, 4206, 455, 21935, 26908, 718, 32369, 718, 1642, 44431, 10923, 12686, 1442, 565, 765, 4084, 17, 2997, 18895, 385, 562, 30222, 19913, 29503, 306, 5901, 290, 3177, 6751, 47179, 13882, 15369, 7025, 18, 1303, 481, 289, 13748, 294, 2733, 1252, 13432, 4075, 277, 477, 1963, 21089, 26397, 1185, 11, 51, 34029, 6098, 18, 14078, 4084, 17, 2997, 18895, 385, 562, 30222, 19913, 29503, 306, 5073, 37098, 22829, 309, 7882, 4285, 45170, 6235, 289, 722, 25400, 5366, 30, 478, 25978, 41014, 289, 42966, 16, 714, 7103, 1453, 309, 3775, 439, 5100, 16, 13302, 16, 25816, 530, 1185, 11, 51, 34029, 6098, 282, 25941, 17853, 9805, 49761, 17, 9028, 1501, 18, 24114, 411, 8058, 19072, 432, 9722, 625, 5162, 318, 45170, 6235, 282, 10264, 808, 4040, 27652, 19816, 9630, 1185, 11, 51, 34029, 6098, 282, 1175, 910, 510, 13202, 6406, 478, 46088, 18, 8381, 470, 2159, 3003, 290, 33139, 4084, 17, 2997, 18895, 385, 562, 30222, 19913, 29503, 306, 18, 824, 3352, 411, 23488, 432, 11861, 282, 459, 822, 478, 16846, 1822, 910, 6295, 477, 8753, 323, 32369, 718, 1642, 541, 8712, 7179, 1185, 11, 51, 34029, 6098, 322, 3818, 12916, 2175, 16182, 309, 10421, 2110, 27488, 289, 37766, 20696, 282, 45232, 18, 478, 4529, 16, 13649, 16, 2504, 322, 12377, 2900, 3281, 6059, 289, 1055, 374, 2504, 322, 10219, 16, 374, 840, 2915, 18, 7699, 726, 21354, 1465, 1867, 1190, 6402, 2768, 910, 651, 3828, 478, 46088, 18, 8381, 470, 309, 4190, 23488, 617, 7897, 282, 459, 822, 478, 16846, 1822, 861, 824, 505, 3163, 16, 8811, 11767, 467, 2913, 468, 30, 827, 1185, 11, 51, 34029, 6098, 1441, 2826, 840, 29653, 439, 5100, 16, 502, 13860, 16, 374, 4040, 281, 697, 32369, 1703, 15274, 16, 3387, 481, 3560, 49909, 4871, 16, 1029, 18131, 8649, 4388, 360, 13185, 18, 740, 9770, 459, 822, 478, 16846, 1822, 910, 9956, 334, 4547, 16, 20015, 11203, 349, 8054, 289, 1139, 453, 360, 505, 8712, 322, 39243, 18, 365, 1423, 3678, 459, 822, 478, 16846, 1822, 470, 322, 15279, 681, 11858, 477, 29302, 21285, 16, 289, 39205, 309, 1568, 547, 23038, 29653, 8054, 1185, 11, 51, 34029, 6098, 289, 2915, 18, 30491, 34610, 478, 16846, 1822, 470, 1576, 857, 16, 374, 5938, 24929, 281, 44431, 10923, 12686, 1442, 565, 765, 16, 459, 822, 478, 16846, 1822, 470, 322, 687, 9298, 5022, 37179, 309, 7572, 9630, 519, 5741, 3972, 4440, 779, 16, 515, 289, 5896, 3991, 12233, 309, 15045, 4090, 48408, 434, 9105, 18, 478, 14792, 3981, 1880, 45167, 1442, 565, 765, 2438, 683, 10492, 319, 282, 4459, 45556, 2294, 9630, 1185, 11, 51, 34029, 6098, 376, 3771, 4371, 290, 970, 16, 374, 281, 430, 3597, 4479, 779, 475, 3018, 309, 10958, 9630, 898, 29698, 32369, 2818, 8744, 478, 618, 5100, 910, 515, 475, 9099, 10744, 289, 26128, 19196, 6836, 309, 5689, 14964, 1066, 1598, 26120, 680, 3463, 478, 16846, 1822, 910, 309, 281, 2736, 722, 1810, 18, 608, 32369, 718, 1642, 478, 618, 5100, 470, 322, 8849, 41054, 19961, 309, 10958, 9630, 1185, 11, 51, 34029, 6098, 376, 3771, 289, 329, 813, 1003, 15251, 16, 374, 8054, 281, 2733, 670, 41050, 7848, 322, 11981, 282, 1175, 519, 9293, 1489, 12783, 3193, 48408, 434, 11418, 1251, 1598, 26120, 680, 14120, 478, 16846, 1822, 470, 289, 5574, 20930, 1442, 565, 765, 18, 1345, 289, 2915, 3984, 10846, 7572, 8401, 7475, 9630, 282, 9799, 304, 5118, 281, 5063, 5056, 3017, 1134, 8421, 289, 4624, 18302, 47131, 289, 13649, 14790, 339, 15230, 1209, 3338, 20394, 1188, 45556, 7771, 289, 10343, 297, 9534, 910, 376, 17684, 478, 46088, 18, 8381, 470, 3251, 668, 10839, 459, 822, 478, 16846, 1822, 470, 505, 18165, 6187, 4944, 49484, 18, 48646, 349, 2395, 539, 3702, 289, 9658, 1352, 12992, 45556, 1887, 1314, 3164, 282, 25008, 20002, 49658, 16, 1085, 282, 1420, 47528, 651, 25562, 808, 18, 478, 18386, 18, 8381, 470, 32033, 13254, 349, 21672, 6059, 2917, 7179, 1185, 11, 51, 34029, 6098, 2, 1, 87, 1456, 81, 2448, 30, 23441, 895, 15529, 519, 816, 9, 17850, 282, 1205, 411, 17, 431, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 861, 817, 28988, 3213, 6551, 289, 22381 ]
[ 1248, 25181, 1880, 4993, 282, 9124, 14774, 2923, 16, 374, 17650, 294, 32084, 37876, 8697, 1248, 13012, 18, 22000, 6997, 478, 19386, 434, 19459, 510, 491, 470, 39700, 309, 2992, 20981, 11826, 779, 16, 4871, 840, 3227, 1235, 294, 9747, 26155, 779, 18, 31224, 30, 3693, 19816, 2992, 23794, 46782, 478, 19386, 451, 6469, 470, 1248, 25181, 1880, 4993, 7730, 305, 20928, 13312, 14774, 16211, 16, 10068, 360, 5115, 1698, 16122, 519, 816, 9, 17850, 18, 1367, 803, 8977, 19713, 2145, 282, 11379, 4084, 5875, 291, 50113, 18, 478, 19386, 451, 6469, 470, 7636, 341, 17924, 10145, 8697, 1248, 13012, 723, 889, 895, 7869, 294, 2498, 2078, 282, 9802, 519, 816, 9, 17850, 2553, 910, 510, 12698, 5875, 291, 50113, 18, 824, 722, 4734, 16, 2573, 10679, 1311, 18267, 4862, 16, 753, 478, 16978, 506, 23757, 19297, 541, 37876, 8697, 861, 1415, 303, 2145, 5273, 38008, 597, 2241, 478, 46625, 38547, 2665, 470, 44268, 10147, 5349, 21012, 18, 478, 6039, 35780, 349, 867, 16, 374, 14864, 281, 478, 46625, 38547, 304, 910, 510, 2323, 5875, 291, 50113, 16, 4685, 14711, 16, 374, 282, 3198, 17773, 309, 4862, 1943, 19111, 20690, 8275, 8697, 428, 541, 9246, 16, 453, 289, 541, 17313, 23271, 18, 43884, 36971, 9321, 290, 16115, 2145, 13581, 4862, 8481, 24999, 7435, 282, 11433, 304, 25858, 18, 4756, 8624, 7920, 23111, 13392, 2665, 334, 34658, 9942, 7956, 528, 412, 405, 4609, 332, 10068, 1360, 2553, 360, 23872, 2273, 288, 1004, 411, 17, 431, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 470, 282, 4843, 22, 17, 22, 16, 24, 5096, 282, 1205, 18, 22000, 6997, 478, 19386, 434, 19459, 510, 491, 470, 39700, 309, 2992, 20981, 11826, 779, 289, 840, 3227, 10631, 294, 9747, 26155, 779, 18, 17076, 14782, 7955, 1949, 14181, 368, 46782, 7343, 24512, 12911, 13814, 34184, 8697, 282, 1205, 360, 20381, 1175, 1248, 25181, 1880, 4993, 519, 5306, 18, 32679, 17, 32592, 3606, 23079, 2303, 15184, 840, 19016, 282, 9124, 2665, 16, 15500, 289, 2044, 31212, 3847, 18, 17135, 5115, 478, 19386, 451, 6469, 510, 491, 470, 23054, 6980, 16, 2145, 289, 3888, 25850, 2553, 18, 43884, 1568, 381, 42995, 933, 6341, 4678, 14426, 29487, 9075, 3194, 25005, 478, 19386, 434, 19459, 510, 491, 861, 30275, 289, 6980, 322, 33382, 17132, 9805, 2303, 1742, 35185, 289, 2678, 12724, 309, 14924, 13429, 18, 365, 11379, 4871, 46782, 1248, 25181, 1880, 4993, 6881, 9622, 9153, 13059, 18, 3791, 1279, 478, 19386, 434, 19459, 510, 491, 470, 895, 23683, 981, 542, 510, 282, 3998, 3597, 7064, 2553, 2828, 857, 289, 1727, 857, 309, 21394, 19048, 16, 581, 1815, 2678, 23124, 25005, 46782, 18, 23654, 2553, 6696, 3604, 2990, 15705, 990, 12890, 334, 21173, 582, 34535, 291, 1248, 6159, 1924, 3128, 27165, 16, 3348, 411, 1639, 1623, 289, 478, 19386, 451, 6469, 510, 491, 861, 365, 21989, 16170, 16, 374, 481, 2003, 541, 8274, 3623, 18, 365, 3998, 4209, 38550, 2750, 473, 20718, 13, 1300, 3156, 329, 22470, 3871, 3685, 309, 31048, 11738, 334, 15922, 478, 19386, 451, 6469, 510, 491, 861, 1939, 3802, 5037, 602, 684, 13997, 17, 684, 3704, 1614, 3054, 320, 3828, 16, 374, 2553, 22470, 1055, 322, 7737, 10529, 294, 2180, 825, 4734, 6152, 26840, 602, 684, 2900, 30430, 354, 18, 824, 505, 3163, 16, 7006, 520, 9553, 290, 828, 17, 299, 21377, 282, 10264, 808, 18, 365, 1750, 16, 827, 3871, 3685, 309, 9744, 475, 575, 840, 49765, 16, 478, 19386, 451, 6469, 17, 22, 470, 36570, 424, 8183, 478, 21174, 964, 6255, 412, 333, 871, 861, 817, 14782, 16, 374, 5662, 10307, 2241, 322, 1698, 36270, 5036, 12812, 9242, 16, 367, 1038, 42024, 1893, 8220, 420, 3271, 322, 1033, 11678, 3521, 5122, 334, 17924, 13770, 349, 3348, 2921, 15224, 18, 967, 4884, 42236, 3872, 7260, 16, 374, 9805, 4871, 322, 840, 26450, 363, 2141, 18, 41162, 16, 374, 282, 1175, 17959, 38550, 2047, 9466, 26092, 510, 3695, 3597, 7638, 17, 13522, 2407, 6370, 16640, 2815, 16, 374, 17959, 38550, 2047, 334, 25005, 46782, 478, 19386, 451, 6469, 510, 491, 470, 322, 1376, 297, 20892, 16621, 289, 34287, 12781, 541, 1175, 18, 478, 5801, 575, 5327, 6688, 38550, 2047, 16, 678, 9452, 282, 970, 16, 753, 2826, 11567, 2407, 30028, 42898, 12735, 334, 478, 19386, 1147, 1229, 5927, 510, 491, 861, 640, 1379, 2193, 16, 481, 39432, 262, 281, 4947, 4611, 18510, 624, 3361, 437, 1514, 41754, 2381, 16, 3387, 9099, 12890, 7243, 642, 2919, 1844, 10773, 27480, 309, 9185, 26896, 1608, 35664, 910, 510, 9848, 16640, 18, 24295, 7638, 1038, 2815, 290, 16115, 23990, 25045, 17998, 1086, 25005, 46782, 17111, 411, 10355, 1376, 297, 20892, 2466, 7405, 18, 478, 10269, 323, 478, 28083, 297, 20892, 1941, 470, 1623, 17959, 23990, 42552, 11908, 16, 961, 6696, 8838, 1507, 1177, 4871, 371, 3599, 10651, 5064, 19067, 10120, 16, 17967, 16, 13951, 16, 1413, 2728, 1113, 30127, 3732, 16186, 309, 37038, 5508, 1624, 510, 2815, 9805, 7638, 18, 510, 8859, 1336, 1376, 31588, 18376, 1717, 2887, 10427, 4999, 16, 1548, 374, 1139, 25254, 20664, 16, 3136, 289, 31279, 8507, 16, 1029, 2388, 4075, 11660, 16, 12530, 27808, 319, 1634, 31263, 289, 2264, 2888, 6551, 309, 803, 5814, 861, 2, 1, 87, 1456, 81, 2448, 30, 8215, 43161, 680, 6664, 13408, 18301, 39324, 6455, 7818, 6402, 33788, 46303, 478, 672, 433, 353, 932, 470, 510, 282, 6292, 6684, 16, 12343, 567, 808, 6053, 282, 8144, 18, 365, 1978, 6238, 22515, 16, 4725, 39324, 16, 1038, 912, 360, 20061, 289, 294, 5579, 17, 5147, 877, 510, 22993, 7179, 15465, 9001, 9620, 18, 10240, 16, 4725, 5222, 31814, 16, 2669, 7788, 12654, 23583, 353, 932, 18, 31224, 30, 8215, 31814, 13408, 18301, 39324, 6455, 5267, 541, 17106, 2840, 13436, 289, 41252, 2926, 281, 25514, 18496, 48125, 761, 16, 961, 4770, 1175, 4137, 6732, 4419, 2039, 645, 1475, 282, 4301, 1728, 40645, 3197, 38458, 2732, 1433, 18, 1367, 803, 13120, 282, 22325, 17, 1310, 962, 6677, 8193, 18, 39324, 4725, 16, 374, 11074, 329, 9322, 6617, 1055, 374, 1003, 16, 289, 2552, 895, 11567, 2159, 18, 478, 1358, 3027, 11567, 1595, 6029, 18, 22802, 6629, 7818, 282, 6292, 3338, 12032, 16, 12343, 282, 8144, 18, 365, 6292, 986, 4173, 16, 14439, 1175, 35111, 8937, 401, 1624, 1029, 24915, 937, 965, 16, 5545, 1545, 46608, 16, 477, 6173, 30, 478, 4441, 1337, 349, 33203, 4083, 861, 365, 6292, 15294, 26061 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1248, 25181, 1880, 4993, 282, 9124, 14774, 2923, 16, 374, 17650, 294, 32084, 37876, 8697, 1248, 13012, 18, 22000, 6997, 478, 19386, 434, 19459, 510, 491, 470, 39700, 309, 2992, 20981, 11826, 779, 16, 4871, 840, 3227, 1235, 294, 9747, 26155, 779, 18, 31224, 30, 3693, 19816, 2992, 23794, 46782, 478, 19386, 451, 6469, 470, 1248, 25181, 1880, 4993, 7730, 305, 20928, 13312, 14774, 16211, 16, 10068, 360, 5115, 1698, 16122, 519, 816, 9, 17850, 18, 1367, 803, 8977, 19713, 2145, 282, 11379, 4084, 5875, 291, 50113, 18, 478, 19386, 451, 6469, 470, 7636, 341, 17924, 10145, 8697, 1248, 13012, 723, 889, 895, 7869, 294, 2498, 2078, 282, 9802, 519, 816, 9, 17850, 2553, 910, 510, 12698, 5875, 291, 50113, 18, 824, 722, 4734, 16, 2573, 10679, 1311, 18267, 4862, 16, 753, 478, 16978, 506, 23757, 19297, 541, 37876, 8697, 861, 1415, 303, 2145, 5273, 38008, 597, 2241, 478, 46625, 38547, 2665, 470, 44268, 10147, 5349, 21012, 18, 478, 6039, 35780, 349, 867, 16, 374, 14864, 281, 478, 46625, 38547, 304, 910, 510, 2323, 5875, 291, 50113, 16, 4685, 14711, 16, 374, 282, 3198, 17773, 309, 4862, 1943, 19111, 20690, 8275, 8697, 428, 541, 9246, 16, 453, 289, 541, 17313, 23271, 18, 43884, 36971, 9321, 290, 16115, 2145, 13581, 4862, 8481, 24999, 7435, 282, 11433, 304, 25858, 18, 4756, 8624, 7920, 23111, 13392, 2665, 334, 34658, 9942, 7956, 528, 412, 405, 4609, 332, 10068, 1360, 2553, 360, 23872, 2273, 288, 1004, 411, 17, 431, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 470, 282, 4843, 22, 17, 22, 16, 24, 5096, 282, 1205, 18, 22000, 6997, 478, 19386, 434, 19459, 510, 491, 470, 39700, 309, 2992, 20981, 11826, 779, 289, 840, 3227, 10631, 294, 9747, 26155, 779, 18, 17076, 14782, 7955, 1949, 14181, 368, 46782, 7343, 24512, 12911, 13814, 34184, 8697, 282, 1205, 360, 20381, 1175, 1248, 25181, 1880, 4993, 519, 5306, 18, 32679, 17, 32592, 3606, 23079, 2303, 15184, 840, 19016, 282, 9124, 2665, 16, 15500, 289, 2044, 31212, 3847, 18, 17135, 5115, 478, 19386, 451, 6469, 510, 491, 470, 23054, 6980, 16, 2145, 289, 3888, 25850, 2553, 18, 43884, 1568, 381, 42995, 933, 6341, 4678, 14426, 29487, 9075, 3194, 25005, 478, 19386, 434, 19459, 510, 491, 861, 30275, 289, 6980, 322, 33382, 17132, 9805, 2303, 1742, 35185, 289, 2678, 12724, 309, 14924, 13429, 18, 365, 11379, 4871, 46782, 1248, 25181, 1880, 4993, 6881, 9622, 9153, 13059, 18, 3791, 1279, 478, 19386, 434, 19459, 510, 491, 470, 895, 23683, 981, 542, 510, 282, 3998, 3597, 7064, 2553, 2828, 857, 289, 1727, 857, 309, 21394, 19048, 16, 581, 1815, 2678, 23124, 25005, 46782, 18, 23654, 2553, 6696, 3604, 2990, 15705, 990, 12890, 334, 21173, 582, 34535, 291, 1248, 6159, 1924, 3128, 27165, 16, 3348, 411, 1639, 1623, 289, 478, 19386, 451, 6469, 510, 491, 861, 365, 21989, 16170, 16, 374, 481, 2003, 541, 8274, 3623, 18, 365, 3998, 4209, 38550, 2750, 473, 20718, 13, 1300, 3156, 329, 22470, 3871, 3685, 309, 31048, 11738, 334, 15922, 478, 19386, 451, 6469, 510, 491, 861, 1939, 3802, 5037, 602, 684, 13997, 17, 684, 3704, 1614, 3054, 320, 3828, 16, 374, 2553, 22470, 1055, 322, 7737, 10529, 294, 2180, 825, 4734, 6152, 26840, 602, 684, 2900, 30430, 354, 18, 824, 505, 3163, 16, 7006, 520, 9553, 290, 828, 17, 299, 21377, 282, 10264, 808, 18, 365, 1750, 16, 827, 3871, 3685, 309, 9744, 475, 575, 840, 49765, 16, 478, 19386, 451, 6469, 17, 22, 470, 36570, 424, 8183, 478, 21174, 964, 6255, 412, 333, 871, 861, 817, 14782, 16, 374, 5662, 10307, 2241, 322, 1698, 36270, 5036, 12812, 9242, 16, 367, 1038, 42024, 1893, 8220, 420, 3271, 322, 1033, 11678, 3521, 5122, 334, 17924, 13770, 349, 3348, 2921, 15224, 18, 967, 4884, 42236, 3872, 7260, 16, 374, 9805, 4871, 322, 840, 26450, 363, 2141, 18, 41162, 16, 374, 282, 1175, 17959, 38550, 2047, 9466, 26092, 510, 3695, 3597, 7638, 17, 13522, 2407, 6370, 16640, 2815, 16, 374, 17959, 38550, 2047, 334, 25005, 46782, 478, 19386, 451, 6469, 510, 491, 470, 322, 1376, 297, 20892, 16621, 289, 34287, 12781, 541, 1175, 18, 478, 5801, 575, 5327, 6688, 38550, 2047, 16, 678, 9452, 282, 970, 16, 753, 2826, 11567, 2407, 30028, 42898, 12735, 334, 478, 19386, 1147, 1229, 5927, 510, 491, 861, 640, 1379, 2193, 16, 481, 39432, 262, 281, 4947, 4611, 18510, 624, 3361, 437, 1514, 41754, 2381, 16, 3387, 9099, 12890, 7243, 642, 2919, 1844, 10773, 27480, 309, 9185, 26896, 1608, 35664, 910, 510, 9848, 16640, 18, 24295, 7638, 1038, 2815, 290, 16115, 23990, 25045, 17998, 1086, 25005, 46782, 17111, 411, 10355, 1376, 297, 20892, 2466, 7405, 18, 478, 10269, 323, 478, 28083, 297, 20892, 1941, 470, 1623, 17959, 23990, 42552, 11908, 16, 961, 6696, 8838, 1507, 1177, 4871, 371, 3599, 10651, 5064, 19067, 10120, 16, 17967, 16, 13951, 16, 1413, 2728, 1113, 30127, 3732, 16186, 309, 37038, 5508, 1624, 510, 2815, 9805, 7638, 18, 510, 8859, 1336, 1376, 31588, 18376, 1717, 2887, 10427, 4999, 16, 1548, 374, 1139, 25254, 20664, 16, 3136, 289, 31279, 8507, 16, 1029, 2388, 4075, 11660, 16, 12530, 27808, 319, 1634, 31263, 289, 2264, 2888, 6551, 309, 803, 5814, 861, 2, 1, 87, 1456, 81, 2448, 30, 8215, 43161, 680, 6664, 13408, 18301, 39324, 6455, 7818, 6402, 33788, 46303, 478, 672, 433, 353, 932, 470, 510, 282, 6292, 6684, 16, 12343, 567, 808, 6053, 282, 8144, 18, 365, 1978, 6238, 22515, 16, 4725, 39324, 16, 1038, 912, 360, 20061, 289, 294, 5579, 17, 5147, 877, 510, 22993, 7179, 15465, 9001, 9620, 18, 10240, 16, 4725, 5222, 31814, 16, 2669, 7788, 12654, 23583, 353, 932, 18, 31224, 30, 8215, 31814, 13408, 18301, 39324, 6455, 5267, 541, 17106, 2840, 13436, 289, 41252, 2926, 281, 25514, 18496, 48125, 761, 16, 961, 4770, 1175, 4137, 6732, 4419, 2039, 645, 1475, 282, 4301, 1728, 40645, 3197, 38458, 2732, 1433, 18, 1367, 803, 13120, 282, 22325, 17, 1310, 962, 6677, 8193, 18, 39324, 4725, 16, 374, 11074, 329, 9322, 6617, 1055, 374, 1003, 16, 289, 2552, 895, 11567, 2159, 18, 478, 1358, 3027, 11567, 1595, 6029, 18, 22802, 6629, 7818, 282, 6292, 3338, 12032, 16, 12343, 282, 8144, 18, 365, 6292, 986, 4173, 16, 14439, 1175, 35111, 8937, 401, 1624, 1029, 24915, 937, 965, 16, 5545, 1545, 46608, 16, 477, 6173, 30, 478, 4441, 1337, 349, 33203, 4083, 861, 365, 6292, 15294, 26061 ]
[ 10470, 13652, 12517, 6816, 17895, 350, 5269, 1624, 1029, 14306, 5627, 309, 965, 16, 1011, 924, 428, 685, 32380, 46608, 289, 5545, 286, 18, 365, 6292, 39003, 837, 19243, 3873, 43055, 1624, 16118, 6413, 685, 22157, 15462, 11752, 18, 459, 1888, 12032, 910, 510, 5130, 282, 9907, 18, 10110, 43161, 680, 6664, 8566, 12343, 11854, 40975, 16, 478, 6433, 19785, 8969, 2309, 16, 8969, 12644, 861, 817, 4725, 16, 374, 3702, 478, 47728, 262, 470, 1623, 3348, 411, 48066, 11074, 2001, 23583, 3905, 18, 478, 672, 29406, 1175, 282, 23583, 353, 298, 651, 2756, 15831, 536, 32125, 282, 8384, 281, 30917, 473, 8967, 478, 26994, 7441, 470, 16753, 282, 1175, 814, 981, 289, 1379, 4770, 26332, 411, 5579, 17, 14723, 16, 1177, 1332, 7788, 478, 19386, 416, 23583, 353, 932, 861, 640, 2218, 2193, 16, 5267, 478, 672, 433, 3905, 470, 541, 13436, 39315, 282, 1190, 11875, 1209, 1110, 16, 1085, 30466, 551, 17712, 41364, 477, 42909, 910, 510, 18789, 39324, 18, 7106, 16, 5272, 9805, 5222, 4137, 6732, 12679, 281, 16544, 536, 7978, 1525, 3197, 38458, 2732, 1433, 18, 41410, 2301, 1360, 8180, 492, 36593, 27062, 23534, 2553, 16, 11451, 1576, 7892, 290, 970, 16, 374, 282, 1175, 46985, 808, 541, 24828, 434, 7019, 18, 17580, 2301, 11815, 9620, 906, 28501, 1739, 375, 1876, 9322, 6617, 37961, 7713, 18, 9668, 4000, 4725, 16, 374, 13450, 1162, 15849, 15075, 3775, 5781, 16521, 1333, 18, 22802, 305, 451, 5851, 281, 17971, 6190, 2499, 31940, 1809, 37328, 20141, 8187, 323, 478, 563, 441, 7821, 470, 473, 55, 532, 517, 17, 22, 334, 34434, 9808, 6778, 1559, 5216, 1089, 5411, 6617, 16, 1474, 8085, 30012, 18, 33465, 10685, 281, 44817, 8187, 315, 17, 29646, 416, 12893, 726, 7556, 5672, 1812, 282, 19267, 18, 20405, 16, 374, 1739, 12021, 6712, 309, 18506, 5851, 272, 478, 6706, 512, 540, 910, 6065, 1147, 764, 282, 3875, 18, 450, 6321, 16374, 13436, 478, 563, 441, 7821, 470, 4896, 2261, 4500, 18, 4017, 16, 374, 309, 1061, 4500, 18, 4017, 17045, 48120, 16374, 478, 6706, 512, 6074, 861, 43768, 2205, 341, 1143, 1156, 7833, 289, 2397, 13605, 24165, 37949, 29252, 3084, 16411, 510, 282, 970, 2875, 16, 10569, 288, 2594, 7492, 18, 6732, 4725, 16, 374, 282, 1175, 4463, 5740, 22990, 2567, 6961, 6617, 16, 961, 322, 9843, 37328, 28166, 46840, 16374, 371, 18005, 294, 4380, 18, 44026, 16919, 282, 8384, 281, 2872, 16, 334, 43137, 4830, 16, 11893, 318, 289, 12621, 35949, 18, 4035, 332, 3407, 30349, 651, 1176, 411, 25274, 2900, 6617, 18, 365, 722, 28452, 47020, 1461, 1041, 29661, 549, 4965, 1024, 335, 549, 8711, 549, 11433, 525, 17510, 18, 22802, 871, 12073, 15088, 48120, 16374, 18, 478, 4592, 1623, 5769, 15549, 8809, 541, 1209, 24602, 289, 46688, 1440, 428, 16919, 16, 453, 289, 28600, 910, 510, 3828, 6732, 18, 9668, 4000, 1038, 10218, 290, 970, 16, 374, 282, 1175, 36729, 30596, 448, 47960, 34864, 16, 3811, 5800, 309, 478, 19696, 3084, 10854, 470, 289, 309, 6190, 2499, 31940, 4314, 48120, 18, 824, 3163, 9620, 16, 697, 7872, 282, 1293, 445, 3230, 9456, 31172, 30074, 289, 3322, 9578, 36861, 18, 478, 4441, 1139, 10779, 343, 910, 510, 17684, 30596, 1157, 9805, 5222, 18, 1606, 16, 5692, 6732, 16, 14417, 20213, 5258, 1330, 16, 7773, 13759, 987, 1330, 289, 3716, 5769, 15549, 15298, 541, 6763, 18, 4635, 481, 8350, 773, 5352, 1676, 13605, 24165, 9623, 510, 282, 970, 2875, 5447, 2248, 448, 17567, 16, 7827, 1505, 21263, 289, 47376, 18, 3739, 2361, 5472, 16, 1474, 9626, 282, 4301, 40645, 3197, 38458, 2732, 1433, 651, 8052, 18382, 10569, 288, 2594, 6589, 5447, 8260, 17, 48471, 451, 5851, 478, 684, 375, 1646, 861, 817, 16, 334, 3163, 9620, 322, 2397, 40069, 282, 2968, 18, 2320, 32447, 986, 315, 17, 11110, 2257, 13551, 10842, 12800, 319, 46303, 282, 10780, 4524, 3080, 349, 34770, 7130, 18, 43768, 26610, 477, 12494, 282, 1533, 445, 3230, 9456, 17276, 18, 19237, 539, 13759, 312, 3271, 8826, 8137, 781, 8026, 22085, 46423, 475, 35867, 2926, 28600, 289, 16919, 18, 1483, 2736, 304, 282, 1767, 8786, 16, 334, 3163, 9620, 16, 2438, 7794, 11840, 434, 8187, 434, 10139, 37961, 10781, 281, 8459, 40699, 9727, 9125, 510, 3730, 25058, 17106, 4269, 4781, 304, 18, 19672, 10139, 510, 478, 618, 1736, 23866, 910, 505, 15129, 8103, 3227, 10197, 18, 817, 895, 309, 10569, 288, 2594, 6589, 9456, 23322, 282, 5070, 432, 6797, 1751, 27467, 18, 967, 18005, 294, 4380, 3730, 17853, 17106, 2523, 4781, 33670, 29147, 13759, 312, 3271, 16, 428, 3714, 4139, 16, 453, 289, 334, 13179, 16, 374, 5073, 505, 5773, 5769, 15549, 12418, 541, 10949, 4076, 28600, 289, 16919, 16, 9299, 6732, 18, 478, 3001, 3419, 294, 4380, 428, 17996, 29615, 16, 428, 760, 5171, 8951, 16, 428, 1257, 13777, 8951, 910, 510, 4725, 9805, 5222, 18, 6732, 1038, 4848, 290, 44354, 28563, 282, 12996, 20047, 434, 6617, 1175, 18, 824, 505, 3163, 16, 1574, 865, 20024, 726, 2944, 322, 1623, 1139, 20040, 355, 289, 25289, 18, 7603, 12886, 8187, 448, 29083, 28408, 282, 12301, 726, 281, 6705, 779, 18, 478, 3096, 3027, 282, 1335, 2095, 34358, 1954, 282, 10621, 16, 1139, 1055, 322, 808, 18, 740, 8876, 34150, 16, 374, 8881, 2567, 9275, 25275, 901, 2911, 14225, 305, 3775, 1175, 16, 1717, 901, 2911, 16, 282, 6491, 8274, 1360, 3623, 910, 510, 2815, 4770, 18, 365, 19267, 2145, 322, 12982, 751, 29582, 4830, 9620, 290, 4014, 1165, 49466, 25970, 18, 478, 4348, 322, 2199, 2626, 10744, 353, 18, 13699, 873, 1698, 953, 11680, 16, 374, 656, 3118, 6354, 655, 1345, 11680, 16, 374, 6354, 13864, 1423, 8362, 16, 374, 373, 537, 4983, 910, 510, 8977, 12117, 5854, 31460, 11494, 47132, 44260, 18, 1253, 14291, 16, 374, 5472, 16, 1474, 9626, 30012, 16, 13458, 1812, 726, 939, 2944, 18, 478, 5673, 374, 5571, 8711, 549, 31295, 324, 11660, 481, 567, 2904, 910, 510, 18584, 6406, 44260, 18, 2, 1, 87, 1456, 81, 2448, 30, 4580, 266, 7543, 4504, 602, 589, 2503, 542, 16, 6677, 351, 1850, 23706, 32832, 6516, 2665, 16, 7801, 282, 15080, 509, 1212, 31452, 282, 11379, 18, 640, 17581, 603, 13172, 309, 20576, 31435, 4770, 2665, 7753, 9344, 289, 11350, 17, 24339, 19518, 32652, 18, 688, 375, 584, 266, 7543, 1640, 3711, 30657, 1855, 16, 753, 492, 322, 15232, 3064, 9805, 18, 365, 41423, 15684, 478, 1646, 2306, 13915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10470, 13652, 12517, 6816, 17895, 350, 5269, 1624, 1029, 14306, 5627, 309, 965, 16, 1011, 924, 428, 685, 32380, 46608, 289, 5545, 286, 18, 365, 6292, 39003, 837, 19243, 3873, 43055, 1624, 16118, 6413, 685, 22157, 15462, 11752, 18, 459, 1888, 12032, 910, 510, 5130, 282, 9907, 18, 10110, 43161, 680, 6664, 8566, 12343, 11854, 40975, 16, 478, 6433, 19785, 8969, 2309, 16, 8969, 12644, 861, 817, 4725, 16, 374, 3702, 478, 47728, 262, 470, 1623, 3348, 411, 48066, 11074, 2001, 23583, 3905, 18, 478, 672, 29406, 1175, 282, 23583, 353, 298, 651, 2756, 15831, 536, 32125, 282, 8384, 281, 30917, 473, 8967, 478, 26994, 7441, 470, 16753, 282, 1175, 814, 981, 289, 1379, 4770, 26332, 411, 5579, 17, 14723, 16, 1177, 1332, 7788, 478, 19386, 416, 23583, 353, 932, 861, 640, 2218, 2193, 16, 5267, 478, 672, 433, 3905, 470, 541, 13436, 39315, 282, 1190, 11875, 1209, 1110, 16, 1085, 30466, 551, 17712, 41364, 477, 42909, 910, 510, 18789, 39324, 18, 7106, 16, 5272, 9805, 5222, 4137, 6732, 12679, 281, 16544, 536, 7978, 1525, 3197, 38458, 2732, 1433, 18, 41410, 2301, 1360, 8180, 492, 36593, 27062, 23534, 2553, 16, 11451, 1576, 7892, 290, 970, 16, 374, 282, 1175, 46985, 808, 541, 24828, 434, 7019, 18, 17580, 2301, 11815, 9620, 906, 28501, 1739, 375, 1876, 9322, 6617, 37961, 7713, 18, 9668, 4000, 4725, 16, 374, 13450, 1162, 15849, 15075, 3775, 5781, 16521, 1333, 18, 22802, 305, 451, 5851, 281, 17971, 6190, 2499, 31940, 1809, 37328, 20141, 8187, 323, 478, 563, 441, 7821, 470, 473, 55, 532, 517, 17, 22, 334, 34434, 9808, 6778, 1559, 5216, 1089, 5411, 6617, 16, 1474, 8085, 30012, 18, 33465, 10685, 281, 44817, 8187, 315, 17, 29646, 416, 12893, 726, 7556, 5672, 1812, 282, 19267, 18, 20405, 16, 374, 1739, 12021, 6712, 309, 18506, 5851, 272, 478, 6706, 512, 540, 910, 6065, 1147, 764, 282, 3875, 18, 450, 6321, 16374, 13436, 478, 563, 441, 7821, 470, 4896, 2261, 4500, 18, 4017, 16, 374, 309, 1061, 4500, 18, 4017, 17045, 48120, 16374, 478, 6706, 512, 6074, 861, 43768, 2205, 341, 1143, 1156, 7833, 289, 2397, 13605, 24165, 37949, 29252, 3084, 16411, 510, 282, 970, 2875, 16, 10569, 288, 2594, 7492, 18, 6732, 4725, 16, 374, 282, 1175, 4463, 5740, 22990, 2567, 6961, 6617, 16, 961, 322, 9843, 37328, 28166, 46840, 16374, 371, 18005, 294, 4380, 18, 44026, 16919, 282, 8384, 281, 2872, 16, 334, 43137, 4830, 16, 11893, 318, 289, 12621, 35949, 18, 4035, 332, 3407, 30349, 651, 1176, 411, 25274, 2900, 6617, 18, 365, 722, 28452, 47020, 1461, 1041, 29661, 549, 4965, 1024, 335, 549, 8711, 549, 11433, 525, 17510, 18, 22802, 871, 12073, 15088, 48120, 16374, 18, 478, 4592, 1623, 5769, 15549, 8809, 541, 1209, 24602, 289, 46688, 1440, 428, 16919, 16, 453, 289, 28600, 910, 510, 3828, 6732, 18, 9668, 4000, 1038, 10218, 290, 970, 16, 374, 282, 1175, 36729, 30596, 448, 47960, 34864, 16, 3811, 5800, 309, 478, 19696, 3084, 10854, 470, 289, 309, 6190, 2499, 31940, 4314, 48120, 18, 824, 3163, 9620, 16, 697, 7872, 282, 1293, 445, 3230, 9456, 31172, 30074, 289, 3322, 9578, 36861, 18, 478, 4441, 1139, 10779, 343, 910, 510, 17684, 30596, 1157, 9805, 5222, 18, 1606, 16, 5692, 6732, 16, 14417, 20213, 5258, 1330, 16, 7773, 13759, 987, 1330, 289, 3716, 5769, 15549, 15298, 541, 6763, 18, 4635, 481, 8350, 773, 5352, 1676, 13605, 24165, 9623, 510, 282, 970, 2875, 5447, 2248, 448, 17567, 16, 7827, 1505, 21263, 289, 47376, 18, 3739, 2361, 5472, 16, 1474, 9626, 282, 4301, 40645, 3197, 38458, 2732, 1433, 651, 8052, 18382, 10569, 288, 2594, 6589, 5447, 8260, 17, 48471, 451, 5851, 478, 684, 375, 1646, 861, 817, 16, 334, 3163, 9620, 322, 2397, 40069, 282, 2968, 18, 2320, 32447, 986, 315, 17, 11110, 2257, 13551, 10842, 12800, 319, 46303, 282, 10780, 4524, 3080, 349, 34770, 7130, 18, 43768, 26610, 477, 12494, 282, 1533, 445, 3230, 9456, 17276, 18, 19237, 539, 13759, 312, 3271, 8826, 8137, 781, 8026, 22085, 46423, 475, 35867, 2926, 28600, 289, 16919, 18, 1483, 2736, 304, 282, 1767, 8786, 16, 334, 3163, 9620, 16, 2438, 7794, 11840, 434, 8187, 434, 10139, 37961, 10781, 281, 8459, 40699, 9727, 9125, 510, 3730, 25058, 17106, 4269, 4781, 304, 18, 19672, 10139, 510, 478, 618, 1736, 23866, 910, 505, 15129, 8103, 3227, 10197, 18, 817, 895, 309, 10569, 288, 2594, 6589, 9456, 23322, 282, 5070, 432, 6797, 1751, 27467, 18, 967, 18005, 294, 4380, 3730, 17853, 17106, 2523, 4781, 33670, 29147, 13759, 312, 3271, 16, 428, 3714, 4139, 16, 453, 289, 334, 13179, 16, 374, 5073, 505, 5773, 5769, 15549, 12418, 541, 10949, 4076, 28600, 289, 16919, 16, 9299, 6732, 18, 478, 3001, 3419, 294, 4380, 428, 17996, 29615, 16, 428, 760, 5171, 8951, 16, 428, 1257, 13777, 8951, 910, 510, 4725, 9805, 5222, 18, 6732, 1038, 4848, 290, 44354, 28563, 282, 12996, 20047, 434, 6617, 1175, 18, 824, 505, 3163, 16, 1574, 865, 20024, 726, 2944, 322, 1623, 1139, 20040, 355, 289, 25289, 18, 7603, 12886, 8187, 448, 29083, 28408, 282, 12301, 726, 281, 6705, 779, 18, 478, 3096, 3027, 282, 1335, 2095, 34358, 1954, 282, 10621, 16, 1139, 1055, 322, 808, 18, 740, 8876, 34150, 16, 374, 8881, 2567, 9275, 25275, 901, 2911, 14225, 305, 3775, 1175, 16, 1717, 901, 2911, 16, 282, 6491, 8274, 1360, 3623, 910, 510, 2815, 4770, 18, 365, 19267, 2145, 322, 12982, 751, 29582, 4830, 9620, 290, 4014, 1165, 49466, 25970, 18, 478, 4348, 322, 2199, 2626, 10744, 353, 18, 13699, 873, 1698, 953, 11680, 16, 374, 656, 3118, 6354, 655, 1345, 11680, 16, 374, 6354, 13864, 1423, 8362, 16, 374, 373, 537, 4983, 910, 510, 8977, 12117, 5854, 31460, 11494, 47132, 44260, 18, 1253, 14291, 16, 374, 5472, 16, 1474, 9626, 30012, 16, 13458, 1812, 726, 939, 2944, 18, 478, 5673, 374, 5571, 8711, 549, 31295, 324, 11660, 481, 567, 2904, 910, 510, 18584, 6406, 44260, 18, 2, 1, 87, 1456, 81, 2448, 30, 4580, 266, 7543, 4504, 602, 589, 2503, 542, 16, 6677, 351, 1850, 23706, 32832, 6516, 2665, 16, 7801, 282, 15080, 509, 1212, 31452, 282, 11379, 18, 640, 17581, 603, 13172, 309, 20576, 31435, 4770, 2665, 7753, 9344, 289, 11350, 17, 24339, 19518, 32652, 18, 688, 375, 584, 266, 7543, 1640, 3711, 30657, 1855, 16, 753, 492, 322, 15232, 3064, 9805, 18, 365, 41423, 15684, 478, 1646, 2306, 13915 ]
[ 5375, 470, 584, 266, 7543, 8902, 16, 367, 378, 3127, 1140, 510, 478, 273, 4495, 7733, 39541, 6123, 7022, 326, 861, 31224, 30, 677, 15080, 509, 1212, 31452, 282, 5214, 14512, 7801, 6169, 4562, 30776, 584, 266, 7543, 1640, 6677, 351, 1850, 23706, 32832, 6516, 2665, 473, 672, 3127, 1140, 13, 602, 589, 2503, 542, 18, 640, 30879, 31435, 20203, 4770, 7753, 9344, 281, 10092, 16, 16555, 282, 32712, 2665, 19518, 32652, 289, 2393, 18347, 6569, 18, 365, 4542, 17581, 602, 589, 2503, 883, 733, 36209, 309, 8440, 1742, 1126, 416, 23123, 281, 1017, 40199, 346, 5244, 27424, 416, 381, 743, 761, 18, 967, 803, 26329, 584, 266, 7543, 1640, 18157, 16769, 510, 4722, 445, 28386, 19261, 4053, 1154, 309, 4862, 282, 11097, 1045, 334, 327, 888, 16, 12642, 1147, 41423, 16, 18479, 18347, 5792, 18, 1540, 266, 7543, 4504, 510, 48355, 603, 14131, 309, 20576, 3424, 9272, 434, 6677, 6516, 18, 365, 7433, 32860, 427, 25528, 1137, 3151, 282, 9233, 16, 15743, 505, 5639, 1147, 281, 5123, 18, 9636, 612, 4538, 16, 584, 266, 7543, 4504, 1623, 12584, 536, 4399, 11502, 4770, 680, 289, 324, 272, 37412, 18, 10110, 7753, 9344, 12679, 567, 808, 17581, 281, 38768, 289, 41812, 26113, 281, 478, 342, 13402, 31342, 861, 824, 3163, 6677, 4000, 16, 309, 4862, 478, 1344, 7233, 6516, 910, 289, 378, 3127, 1140, 16, 478, 275, 5118, 281, 12284, 2206, 16, 4901, 4782, 861, 2949, 12201, 4830, 289, 11350, 17, 293, 30557, 16, 282, 7727, 309, 584, 266, 7543, 8902, 9811, 5037, 45620, 3368, 405, 17, 30075, 823, 1873, 6516, 42623, 18949, 15512, 289, 5854, 38428, 680, 24986, 6516, 510, 38177, 8316, 526, 778, 473, 10524, 274, 5670, 16, 11254, 16, 29956, 16, 34206, 289, 46823, 16968, 651, 478, 18386, 18, 8381, 9979, 12198, 22875, 364, 18, 2263, 29968, 11465, 11350, 17, 24689, 14348, 45620, 24986, 6516, 44503, 36338, 354, 289, 478, 3390, 305, 451, 33567, 470, 378, 3127, 1140, 29830, 1637, 473, 822, 48071, 5269, 13, 322, 2564, 16012, 9734, 1433, 411, 17, 431, 1791, 477, 25517, 18, 365, 21433, 24986, 6516, 473, 43022, 3127, 13, 9220, 2848, 282, 11379, 584, 266, 7543, 8902, 15684, 478, 1646, 2306, 13915, 5375, 861, 9857, 6106, 22699, 3781, 17, 15975, 36338, 14630, 289, 40100, 12528, 34449, 3809, 3720, 18, 478, 8871, 775, 1520, 9201, 778, 33567, 766, 6088, 282, 5305, 19552, 477, 1360, 46882, 7733, 478, 7871, 6123, 7022, 326, 910, 510, 5923, 1694, 25676, 727, 4742, 18, 1787, 24507, 3781, 17, 15975, 14268, 27694, 16, 28822, 282, 3507, 334, 18186, 19606, 477, 2299, 584, 266, 7543, 1640, 36338, 34449, 18, 478, 8572, 328, 303, 282, 34362, 7776, 7012, 322, 6040, 910, 651, 9299, 20803, 18, 7250, 8844, 2684, 1887, 7939, 314, 2009, 6660, 334, 23908, 277, 21433, 24986, 6516, 281, 28106, 289, 5792, 33080, 2042, 297, 3874, 293, 460, 20716, 8566, 584, 266, 7543, 8902, 478, 22649, 910, 367, 378, 3127, 1140, 8566, 478, 5038, 28661, 1703, 23970, 3032, 861, 478, 630, 2911, 1979, 282, 21433, 24986, 6516, 294, 351, 1850, 307, 1186, 728, 23970, 1508, 16, 1029, 2697, 28647, 282, 12006, 15469, 24248, 3018, 16, 8641, 16, 3619, 10579, 1493, 24055, 4068, 31198, 22507, 16, 322, 25190, 18, 817, 322, 840, 4425, 1954, 910, 510, 9299, 3874, 293, 460, 20716, 16, 3110, 391, 26448, 18, 817, 5692, 16, 374, 41423, 20427, 360, 351, 1850, 1051, 26040, 542, 289, 14574, 282, 3801, 315, 15469, 23706, 6516, 651, 45620, 24986, 6516, 14630, 36338, 354, 18, 1397, 575, 519, 378, 3127, 1140, 16, 502, 722, 1405, 1133, 2891, 2665, 21038, 3836, 5639, 668, 18465, 428, 478, 262, 945, 485, 6569, 910, 4725, 46984, 7939, 314, 2009, 6660, 18, 1061, 3612, 33567, 38428, 778, 6999, 399, 10667, 355, 31432, 49398, 1306, 7727, 2818, 289, 40100, 2665, 602, 589, 2503, 1433, 970, 397, 381, 30810, 11172, 22793, 478, 1599, 6932, 416, 6516, 2665, 861, 478, 11636, 3041, 11172, 3050, 9739, 2665, 26136, 3121, 7198, 39354, 25987, 33324, 289, 39466, 1510, 23215, 778, 20576, 16, 428, 289, 2393, 39466, 1711, 289, 529, 20552, 538, 16, 289, 2879, 1974, 281, 4778, 15469, 307, 6390, 4816, 23400, 289, 1078, 1769, 3746, 16, 3229, 1223, 541, 17926, 2759, 32832, 42540, 36307, 8809, 289, 15469, 24248, 27393, 289, 11019, 477, 23215, 1703, 36338, 496, 289, 4778, 32154, 758, 9339, 758, 1312, 2688, 7895, 322, 936, 31623, 2435, 910, 510, 2815, 25075, 778, 33567, 18, 640, 17581, 10376, 970, 4654, 1038, 31435, 4770, 2665, 7753, 9344, 289, 5037, 23111, 13392, 4944, 3551, 7371, 509, 18, 4712, 45808, 2406, 281, 9344, 20803, 282, 4542, 7461, 36363, 282, 37714, 18, 1312, 9009, 542, 49495, 970, 4654, 12935, 282, 31452, 16240, 28893, 282, 29685, 41971, 18, 365, 4675, 808, 5092, 30945, 11048, 924, 16, 374, 30463, 34229, 17650, 294, 30897, 8646, 1682, 306, 289, 31198, 7423, 18, 4185, 21977, 1574, 5138, 16, 2125, 7684, 1086, 1426, 1963, 11220, 18, 12280, 8097, 16, 374, 309, 4862, 3164, 2364, 24701, 360, 8653, 4500, 18, 2270, 291, 41423, 16, 289, 697, 19923, 478, 14071, 26701, 17192, 541, 36338, 34449, 910, 25865, 38341, 18, 7727, 11451, 15097, 281, 3227, 4869, 282, 970, 16, 374, 322, 9733, 32474, 282, 1101, 13686, 18, 3557, 322, 2619, 16, 2270, 276, 15469, 23706, 608, 672, 3127, 48582, 2525, 1147, 289, 1283, 1444, 3465, 3707, 18, 365, 4810, 16, 282, 8790, 2543, 761, 1767, 20664, 588, 1123, 7383, 4151, 24803, 28228, 290, 26822, 282, 478, 609, 516, 9739, 910, 42654, 18894, 4450, 1733, 8915, 290, 970, 670, 18464, 5639, 547, 2270, 263, 18, 2, 1, 87, 1456, 81, 2448, 30, 789, 412, 17, 23390, 320, 10982, 45955, 8014, 300, 2768, 24411, 411, 10249, 18, 31886, 549, 10177, 7118, 26557, 16, 8740, 3645, 360, 11129, 16, 367, 9868, 722, 16587, 9153, 1519, 33842, 318, 18, 2949, 924, 16, 10249, 14821, 2847, 21978, 6545, 18078, 2389, 18, 740, 1055, 32935, 10177, 10982, 15, 334, 1612, 16, 2486, 21215, 282, 1420, 15244, 16, 282, 42297, 445, 37067, 4842, 1508, 23932, 1312, 1285, 41899, 486, 18, 31224, 30, 21116, 800, 17, 22079, 19504, 10982, 37339, 326, 768, 3690, 341, 321, 45955, 8014, 300, 33085, 10177, 10249, 16, 48431, 722, 478, 21512, 3032, 6705, 470, 473, 560, 23702, 309, 9964, 33082, 49799, 25151, 814, 768, 3690, 341, 321, 16, 1029, 9780, 349, 5969, 8752, 5324, 10982, 15, 16, 21890, 16, 374, 10249, 23932, 1312, 1285, 41899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5375, 470, 584, 266, 7543, 8902, 16, 367, 378, 3127, 1140, 510, 478, 273, 4495, 7733, 39541, 6123, 7022, 326, 861, 31224, 30, 677, 15080, 509, 1212, 31452, 282, 5214, 14512, 7801, 6169, 4562, 30776, 584, 266, 7543, 1640, 6677, 351, 1850, 23706, 32832, 6516, 2665, 473, 672, 3127, 1140, 13, 602, 589, 2503, 542, 18, 640, 30879, 31435, 20203, 4770, 7753, 9344, 281, 10092, 16, 16555, 282, 32712, 2665, 19518, 32652, 289, 2393, 18347, 6569, 18, 365, 4542, 17581, 602, 589, 2503, 883, 733, 36209, 309, 8440, 1742, 1126, 416, 23123, 281, 1017, 40199, 346, 5244, 27424, 416, 381, 743, 761, 18, 967, 803, 26329, 584, 266, 7543, 1640, 18157, 16769, 510, 4722, 445, 28386, 19261, 4053, 1154, 309, 4862, 282, 11097, 1045, 334, 327, 888, 16, 12642, 1147, 41423, 16, 18479, 18347, 5792, 18, 1540, 266, 7543, 4504, 510, 48355, 603, 14131, 309, 20576, 3424, 9272, 434, 6677, 6516, 18, 365, 7433, 32860, 427, 25528, 1137, 3151, 282, 9233, 16, 15743, 505, 5639, 1147, 281, 5123, 18, 9636, 612, 4538, 16, 584, 266, 7543, 4504, 1623, 12584, 536, 4399, 11502, 4770, 680, 289, 324, 272, 37412, 18, 10110, 7753, 9344, 12679, 567, 808, 17581, 281, 38768, 289, 41812, 26113, 281, 478, 342, 13402, 31342, 861, 824, 3163, 6677, 4000, 16, 309, 4862, 478, 1344, 7233, 6516, 910, 289, 378, 3127, 1140, 16, 478, 275, 5118, 281, 12284, 2206, 16, 4901, 4782, 861, 2949, 12201, 4830, 289, 11350, 17, 293, 30557, 16, 282, 7727, 309, 584, 266, 7543, 8902, 9811, 5037, 45620, 3368, 405, 17, 30075, 823, 1873, 6516, 42623, 18949, 15512, 289, 5854, 38428, 680, 24986, 6516, 510, 38177, 8316, 526, 778, 473, 10524, 274, 5670, 16, 11254, 16, 29956, 16, 34206, 289, 46823, 16968, 651, 478, 18386, 18, 8381, 9979, 12198, 22875, 364, 18, 2263, 29968, 11465, 11350, 17, 24689, 14348, 45620, 24986, 6516, 44503, 36338, 354, 289, 478, 3390, 305, 451, 33567, 470, 378, 3127, 1140, 29830, 1637, 473, 822, 48071, 5269, 13, 322, 2564, 16012, 9734, 1433, 411, 17, 431, 1791, 477, 25517, 18, 365, 21433, 24986, 6516, 473, 43022, 3127, 13, 9220, 2848, 282, 11379, 584, 266, 7543, 8902, 15684, 478, 1646, 2306, 13915, 5375, 861, 9857, 6106, 22699, 3781, 17, 15975, 36338, 14630, 289, 40100, 12528, 34449, 3809, 3720, 18, 478, 8871, 775, 1520, 9201, 778, 33567, 766, 6088, 282, 5305, 19552, 477, 1360, 46882, 7733, 478, 7871, 6123, 7022, 326, 910, 510, 5923, 1694, 25676, 727, 4742, 18, 1787, 24507, 3781, 17, 15975, 14268, 27694, 16, 28822, 282, 3507, 334, 18186, 19606, 477, 2299, 584, 266, 7543, 1640, 36338, 34449, 18, 478, 8572, 328, 303, 282, 34362, 7776, 7012, 322, 6040, 910, 651, 9299, 20803, 18, 7250, 8844, 2684, 1887, 7939, 314, 2009, 6660, 334, 23908, 277, 21433, 24986, 6516, 281, 28106, 289, 5792, 33080, 2042, 297, 3874, 293, 460, 20716, 8566, 584, 266, 7543, 8902, 478, 22649, 910, 367, 378, 3127, 1140, 8566, 478, 5038, 28661, 1703, 23970, 3032, 861, 478, 630, 2911, 1979, 282, 21433, 24986, 6516, 294, 351, 1850, 307, 1186, 728, 23970, 1508, 16, 1029, 2697, 28647, 282, 12006, 15469, 24248, 3018, 16, 8641, 16, 3619, 10579, 1493, 24055, 4068, 31198, 22507, 16, 322, 25190, 18, 817, 322, 840, 4425, 1954, 910, 510, 9299, 3874, 293, 460, 20716, 16, 3110, 391, 26448, 18, 817, 5692, 16, 374, 41423, 20427, 360, 351, 1850, 1051, 26040, 542, 289, 14574, 282, 3801, 315, 15469, 23706, 6516, 651, 45620, 24986, 6516, 14630, 36338, 354, 18, 1397, 575, 519, 378, 3127, 1140, 16, 502, 722, 1405, 1133, 2891, 2665, 21038, 3836, 5639, 668, 18465, 428, 478, 262, 945, 485, 6569, 910, 4725, 46984, 7939, 314, 2009, 6660, 18, 1061, 3612, 33567, 38428, 778, 6999, 399, 10667, 355, 31432, 49398, 1306, 7727, 2818, 289, 40100, 2665, 602, 589, 2503, 1433, 970, 397, 381, 30810, 11172, 22793, 478, 1599, 6932, 416, 6516, 2665, 861, 478, 11636, 3041, 11172, 3050, 9739, 2665, 26136, 3121, 7198, 39354, 25987, 33324, 289, 39466, 1510, 23215, 778, 20576, 16, 428, 289, 2393, 39466, 1711, 289, 529, 20552, 538, 16, 289, 2879, 1974, 281, 4778, 15469, 307, 6390, 4816, 23400, 289, 1078, 1769, 3746, 16, 3229, 1223, 541, 17926, 2759, 32832, 42540, 36307, 8809, 289, 15469, 24248, 27393, 289, 11019, 477, 23215, 1703, 36338, 496, 289, 4778, 32154, 758, 9339, 758, 1312, 2688, 7895, 322, 936, 31623, 2435, 910, 510, 2815, 25075, 778, 33567, 18, 640, 17581, 10376, 970, 4654, 1038, 31435, 4770, 2665, 7753, 9344, 289, 5037, 23111, 13392, 4944, 3551, 7371, 509, 18, 4712, 45808, 2406, 281, 9344, 20803, 282, 4542, 7461, 36363, 282, 37714, 18, 1312, 9009, 542, 49495, 970, 4654, 12935, 282, 31452, 16240, 28893, 282, 29685, 41971, 18, 365, 4675, 808, 5092, 30945, 11048, 924, 16, 374, 30463, 34229, 17650, 294, 30897, 8646, 1682, 306, 289, 31198, 7423, 18, 4185, 21977, 1574, 5138, 16, 2125, 7684, 1086, 1426, 1963, 11220, 18, 12280, 8097, 16, 374, 309, 4862, 3164, 2364, 24701, 360, 8653, 4500, 18, 2270, 291, 41423, 16, 289, 697, 19923, 478, 14071, 26701, 17192, 541, 36338, 34449, 910, 25865, 38341, 18, 7727, 11451, 15097, 281, 3227, 4869, 282, 970, 16, 374, 322, 9733, 32474, 282, 1101, 13686, 18, 3557, 322, 2619, 16, 2270, 276, 15469, 23706, 608, 672, 3127, 48582, 2525, 1147, 289, 1283, 1444, 3465, 3707, 18, 365, 4810, 16, 282, 8790, 2543, 761, 1767, 20664, 588, 1123, 7383, 4151, 24803, 28228, 290, 26822, 282, 478, 609, 516, 9739, 910, 42654, 18894, 4450, 1733, 8915, 290, 970, 670, 18464, 5639, 547, 2270, 263, 18, 2, 1, 87, 1456, 81, 2448, 30, 789, 412, 17, 23390, 320, 10982, 45955, 8014, 300, 2768, 24411, 411, 10249, 18, 31886, 549, 10177, 7118, 26557, 16, 8740, 3645, 360, 11129, 16, 367, 9868, 722, 16587, 9153, 1519, 33842, 318, 18, 2949, 924, 16, 10249, 14821, 2847, 21978, 6545, 18078, 2389, 18, 740, 1055, 32935, 10177, 10982, 15, 334, 1612, 16, 2486, 21215, 282, 1420, 15244, 16, 282, 42297, 445, 37067, 4842, 1508, 23932, 1312, 1285, 41899, 486, 18, 31224, 30, 21116, 800, 17, 22079, 19504, 10982, 37339, 326, 768, 3690, 341, 321, 45955, 8014, 300, 33085, 10177, 10249, 16, 48431, 722, 478, 21512, 3032, 6705, 470, 473, 560, 23702, 309, 9964, 33082, 49799, 25151, 814, 768, 3690, 341, 321, 16, 1029, 9780, 349, 5969, 8752, 5324, 10982, 15, 16, 21890, 16, 374, 10249, 23932, 1312, 1285, 41899 ]
[ 486, 478, 675, 577, 282, 6104, 289, 38732, 8931, 281, 35102, 12408, 910, 453, 428, 1749, 2125, 4417, 2678, 14833, 281, 10836, 16, 281, 5045, 6696, 16, 322, 6244, 2135, 28461, 294, 9029, 1864, 18, 824, 505, 4734, 16, 21215, 2125, 4417, 2678, 14833, 478, 32278, 19739, 869, 16, 367, 502, 16, 374, 1314, 21215, 3043, 6178, 282, 10249, 16, 1143, 5175, 309, 8862, 282, 24100, 20901, 282, 48060, 2083, 1901, 17881, 282, 15797, 861, 817, 5273, 16, 374, 10982, 15, 15156, 478, 32278, 25724, 10928, 861, 478, 4670, 11184, 10982, 15, 656, 38111, 290, 31984, 2968, 16, 290, 970, 16, 374, 1513, 5067, 309, 2456, 2463, 16, 510, 2548, 768, 3690, 341, 321, 18, 510, 1345, 46387, 2048, 12294, 16, 961, 11091, 300, 373, 2904, 1360, 43438, 1447, 1330, 861, 3791, 768, 3690, 341, 321, 5273, 3447, 23563, 13185, 11024, 10249, 33842, 536, 16, 13962, 1063, 38543, 17420, 16, 961, 35294, 334, 38713, 23310, 13267, 16, 281, 8511, 758, 3535, 10776, 309, 16043, 18, 478, 5673, 485, 38543, 17420, 1174, 7723, 282, 17656, 1212, 44310, 289, 9416, 483, 2625, 2241, 18, 889, 322, 4452, 282, 31984, 2968, 655, 988, 13294, 285, 2397, 5907, 6007, 910, 510, 1109, 768, 3690, 341, 321, 18, 824, 505, 4734, 16, 541, 9983, 4748, 3604, 15361, 360, 1888, 9983, 16, 3279, 745, 6259, 4283, 16, 827, 373, 10249, 3043, 4984, 20775, 16, 17111, 697, 1967, 8410, 16, 502, 685, 373, 1033, 32396, 16, 5273, 3609, 17, 23390, 320, 47504, 22366, 5324, 18, 10982, 322, 9733, 23468, 309, 31170, 282, 10982, 15, 16, 2548, 768, 3690, 341, 321, 16, 515, 3785, 2302, 759, 20775, 16, 827, 19566, 38468, 1480, 722, 15429, 16, 371, 2114, 678, 322, 840, 3011, 37471, 9983, 18, 478, 4348, 322, 40159, 2900, 22367, 16587, 9153, 1519, 10982, 15, 18, 608, 813, 912, 21657, 9118, 910, 510, 2815, 768, 3690, 341, 321, 18, 31886, 549, 10177, 10982, 15, 906, 4463, 8991, 282, 6104, 1045, 30, 10982, 26661, 6863, 309, 8275, 8347, 16695, 16, 753, 25728, 2159, 13608, 282, 12462, 289, 16122, 46339, 10249, 18, 365, 11130, 3785, 19352, 16, 374, 3400, 25029, 9983, 4676, 8752, 5324, 4896, 3417, 3763, 1135, 16, 367, 334, 13976, 309, 36440, 16, 282, 1420, 31058, 10367, 3763, 1135, 18, 10982, 15, 25884, 8087, 477, 13435, 15302, 9726, 4887, 16, 6895, 8203, 10982, 16, 46245, 320, 1723, 30195, 289, 6819, 668, 2204, 12832, 6138, 24776, 18, 10249, 5548, 10218, 16, 374, 5630, 505, 9983, 17045, 430, 5096, 18, 7883, 1314, 1135, 19256, 10982, 15, 16, 768, 3690, 341, 321, 9473, 3111, 16, 515, 15135, 16, 374, 15811, 3597, 726, 10251, 3484, 18, 817, 3893, 16, 374, 32935, 10177, 49687, 1211, 16, 289, 567, 10246, 4426, 12278, 20148, 8840, 10982, 18309, 312, 28341, 14364, 18, 478, 1098, 441, 312, 3404, 6505, 37502, 910, 510, 9695, 3935, 768, 3690, 341, 321, 18, 824, 3761, 1818, 15098, 2015, 16, 282, 10841, 4018, 779, 19585, 17656, 8639, 262, 75, 716, 15, 7609, 282, 5324, 1421, 7130, 16, 282, 502, 808, 428, 282, 10249, 282, 11099, 17656, 12715, 4317, 25, 1879, 282, 5004, 18, 7249, 309, 4903, 451, 19924, 19965, 282, 4356, 10249, 16, 8624, 7067, 18820, 10982, 22605, 47087, 21042, 21161, 768, 3690, 341, 613, 30, 478, 46989, 10239, 15, 7220, 360, 9983, 35559, 21657, 11875, 16, 367, 10249, 14821, 15786, 22088, 724, 353, 289, 21978, 6545, 1883, 364, 2608, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 40832, 877, 41905, 16628, 2422, 334, 16244, 27411, 7805, 18, 14373, 12620, 651, 282, 49418, 32123, 49221, 651, 43850, 294, 891, 343, 7009, 324, 3874, 2592, 43168, 16, 19753, 569, 2203, 1754, 9537, 1038, 30293, 289, 7610, 6637, 18, 832, 639, 22428, 5854, 26935, 403, 763, 289, 282, 1046, 1484, 309, 3417, 646, 308, 18, 3771, 3141, 6096, 44008, 2169, 25941, 2712, 282, 5544, 1184, 1919, 1011, 6566, 6961, 18, 31224, 30, 677, 2615, 1119, 7561, 2422, 334, 16244, 27411, 7805, 639, 38346, 315, 1272, 33384, 27072, 18, 365, 3709, 411, 6961, 4696, 651, 49418, 32123, 49221, 651, 3113, 609, 414, 43178, 294, 891, 1133, 6556, 16, 12162, 34672, 1992, 12112, 49164, 300, 18, 20833, 334, 30367, 1612, 282, 40832, 877, 9934, 289, 20822, 17494, 297, 309, 1533, 6130, 4995, 18, 29111, 2587, 778, 17494, 297, 5854, 2543, 30407, 9005, 6844, 16628, 2422, 2200, 2411, 496, 282, 10384, 4079, 334, 30367, 1612, 18, 41651, 16, 374, 1272, 779, 2158, 282, 24000, 32123, 2587, 382, 477, 1740, 609, 887, 28121, 411, 7426, 18, 365, 40832, 877, 11471, 382, 2125, 898, 18150, 1272, 16883, 334, 1760, 4017, 289, 1176, 651, 5609, 1525, 282, 1912, 16, 21, 4017, 18, 24114, 411, 49338, 712, 19702, 40741, 294, 891, 343, 7009, 324, 3874, 2592, 43168, 16, 48253, 1712, 282, 12838, 6705, 779, 31983, 17, 38114, 778, 32123, 2587, 18, 6831, 1951, 2543, 17494, 486, 282, 41647, 678, 9219, 47310, 1510, 6441, 651, 1272, 4177, 1939, 1879, 289, 12151, 7264, 289, 8022, 12143, 37112, 294, 891, 2127, 8616, 16, 46339, 1754, 3005, 16122, 6523, 382, 1974, 281, 9632, 536, 2394, 4309, 35621, 42983, 4220, 1278, 288, 3588, 18, 48646, 349, 49564, 16, 282, 6031, 16, 34370, 687, 1251, 5854, 15855, 20770, 18, 29111, 2587, 18, 24028, 430, 18, 7009, 324, 3874, 2592, 43168, 510, 491, 30, 6862, 18, 10164, 31, 491, 18, 967, 820, 4468, 293, 552, 4668, 2239, 16, 3420, 31, 816, 18, 10989, 1368, 1467, 728, 354, 265, 4015, 412, 473, 10524, 510, 403, 427, 13, 4668, 2239, 16, 8914, 3069, 3703, 18, 28438, 378, 6002, 18746, 473, 11825, 13, 4668, 1286, 16, 10207, 18, 3417, 646, 308, 18, 24028, 430, 18, 5014, 420, 363, 4468, 293, 273, 6036, 4015, 7662, 370, 651, 2555, 18, 8725, 16, 15118, 491, 18, 34061, 3874, 293, 35480, 651, 2555, 18, 3324, 16, 8979, 816, 18, 2151, 4991, 688, 1994, 34082, 6036, 1789, 507, 265, 473, 10524, 651, 403, 427, 13, 651, 2555, 18, 11629, 16, 10821, 18, 3874, 2592, 43168, 26851, 14015, 2059, 411, 47310, 973, 32123, 2587, 368, 9309, 18, 14587, 1760, 4017, 25941, 4110, 9313, 412, 382, 4798, 44639, 301, 22149, 944, 289, 10655, 10066, 263, 11997, 507, 18, 4541, 697, 46807, 3457, 294, 891, 382, 16, 961, 309, 5897, 4793, 2852, 281, 23137, 8482, 36129, 4024, 428, 445, 3874, 2592, 43168, 18, 26849, 549, 45617, 294, 891, 933, 32123, 2587, 368, 27935, 455, 3118, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 486, 478, 675, 577, 282, 6104, 289, 38732, 8931, 281, 35102, 12408, 910, 453, 428, 1749, 2125, 4417, 2678, 14833, 281, 10836, 16, 281, 5045, 6696, 16, 322, 6244, 2135, 28461, 294, 9029, 1864, 18, 824, 505, 4734, 16, 21215, 2125, 4417, 2678, 14833, 478, 32278, 19739, 869, 16, 367, 502, 16, 374, 1314, 21215, 3043, 6178, 282, 10249, 16, 1143, 5175, 309, 8862, 282, 24100, 20901, 282, 48060, 2083, 1901, 17881, 282, 15797, 861, 817, 5273, 16, 374, 10982, 15, 15156, 478, 32278, 25724, 10928, 861, 478, 4670, 11184, 10982, 15, 656, 38111, 290, 31984, 2968, 16, 290, 970, 16, 374, 1513, 5067, 309, 2456, 2463, 16, 510, 2548, 768, 3690, 341, 321, 18, 510, 1345, 46387, 2048, 12294, 16, 961, 11091, 300, 373, 2904, 1360, 43438, 1447, 1330, 861, 3791, 768, 3690, 341, 321, 5273, 3447, 23563, 13185, 11024, 10249, 33842, 536, 16, 13962, 1063, 38543, 17420, 16, 961, 35294, 334, 38713, 23310, 13267, 16, 281, 8511, 758, 3535, 10776, 309, 16043, 18, 478, 5673, 485, 38543, 17420, 1174, 7723, 282, 17656, 1212, 44310, 289, 9416, 483, 2625, 2241, 18, 889, 322, 4452, 282, 31984, 2968, 655, 988, 13294, 285, 2397, 5907, 6007, 910, 510, 1109, 768, 3690, 341, 321, 18, 824, 505, 4734, 16, 541, 9983, 4748, 3604, 15361, 360, 1888, 9983, 16, 3279, 745, 6259, 4283, 16, 827, 373, 10249, 3043, 4984, 20775, 16, 17111, 697, 1967, 8410, 16, 502, 685, 373, 1033, 32396, 16, 5273, 3609, 17, 23390, 320, 47504, 22366, 5324, 18, 10982, 322, 9733, 23468, 309, 31170, 282, 10982, 15, 16, 2548, 768, 3690, 341, 321, 16, 515, 3785, 2302, 759, 20775, 16, 827, 19566, 38468, 1480, 722, 15429, 16, 371, 2114, 678, 322, 840, 3011, 37471, 9983, 18, 478, 4348, 322, 40159, 2900, 22367, 16587, 9153, 1519, 10982, 15, 18, 608, 813, 912, 21657, 9118, 910, 510, 2815, 768, 3690, 341, 321, 18, 31886, 549, 10177, 10982, 15, 906, 4463, 8991, 282, 6104, 1045, 30, 10982, 26661, 6863, 309, 8275, 8347, 16695, 16, 753, 25728, 2159, 13608, 282, 12462, 289, 16122, 46339, 10249, 18, 365, 11130, 3785, 19352, 16, 374, 3400, 25029, 9983, 4676, 8752, 5324, 4896, 3417, 3763, 1135, 16, 367, 334, 13976, 309, 36440, 16, 282, 1420, 31058, 10367, 3763, 1135, 18, 10982, 15, 25884, 8087, 477, 13435, 15302, 9726, 4887, 16, 6895, 8203, 10982, 16, 46245, 320, 1723, 30195, 289, 6819, 668, 2204, 12832, 6138, 24776, 18, 10249, 5548, 10218, 16, 374, 5630, 505, 9983, 17045, 430, 5096, 18, 7883, 1314, 1135, 19256, 10982, 15, 16, 768, 3690, 341, 321, 9473, 3111, 16, 515, 15135, 16, 374, 15811, 3597, 726, 10251, 3484, 18, 817, 3893, 16, 374, 32935, 10177, 49687, 1211, 16, 289, 567, 10246, 4426, 12278, 20148, 8840, 10982, 18309, 312, 28341, 14364, 18, 478, 1098, 441, 312, 3404, 6505, 37502, 910, 510, 9695, 3935, 768, 3690, 341, 321, 18, 824, 3761, 1818, 15098, 2015, 16, 282, 10841, 4018, 779, 19585, 17656, 8639, 262, 75, 716, 15, 7609, 282, 5324, 1421, 7130, 16, 282, 502, 808, 428, 282, 10249, 282, 11099, 17656, 12715, 4317, 25, 1879, 282, 5004, 18, 7249, 309, 4903, 451, 19924, 19965, 282, 4356, 10249, 16, 8624, 7067, 18820, 10982, 22605, 47087, 21042, 21161, 768, 3690, 341, 613, 30, 478, 46989, 10239, 15, 7220, 360, 9983, 35559, 21657, 11875, 16, 367, 10249, 14821, 15786, 22088, 724, 353, 289, 21978, 6545, 1883, 364, 2608, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 40832, 877, 41905, 16628, 2422, 334, 16244, 27411, 7805, 18, 14373, 12620, 651, 282, 49418, 32123, 49221, 651, 43850, 294, 891, 343, 7009, 324, 3874, 2592, 43168, 16, 19753, 569, 2203, 1754, 9537, 1038, 30293, 289, 7610, 6637, 18, 832, 639, 22428, 5854, 26935, 403, 763, 289, 282, 1046, 1484, 309, 3417, 646, 308, 18, 3771, 3141, 6096, 44008, 2169, 25941, 2712, 282, 5544, 1184, 1919, 1011, 6566, 6961, 18, 31224, 30, 677, 2615, 1119, 7561, 2422, 334, 16244, 27411, 7805, 639, 38346, 315, 1272, 33384, 27072, 18, 365, 3709, 411, 6961, 4696, 651, 49418, 32123, 49221, 651, 3113, 609, 414, 43178, 294, 891, 1133, 6556, 16, 12162, 34672, 1992, 12112, 49164, 300, 18, 20833, 334, 30367, 1612, 282, 40832, 877, 9934, 289, 20822, 17494, 297, 309, 1533, 6130, 4995, 18, 29111, 2587, 778, 17494, 297, 5854, 2543, 30407, 9005, 6844, 16628, 2422, 2200, 2411, 496, 282, 10384, 4079, 334, 30367, 1612, 18, 41651, 16, 374, 1272, 779, 2158, 282, 24000, 32123, 2587, 382, 477, 1740, 609, 887, 28121, 411, 7426, 18, 365, 40832, 877, 11471, 382, 2125, 898, 18150, 1272, 16883, 334, 1760, 4017, 289, 1176, 651, 5609, 1525, 282, 1912, 16, 21, 4017, 18, 24114, 411, 49338, 712, 19702, 40741, 294, 891, 343, 7009, 324, 3874, 2592, 43168, 16, 48253, 1712, 282, 12838, 6705, 779, 31983, 17, 38114, 778, 32123, 2587, 18, 6831, 1951, 2543, 17494, 486, 282, 41647, 678, 9219, 47310, 1510, 6441, 651, 1272, 4177, 1939, 1879, 289, 12151, 7264, 289, 8022, 12143, 37112, 294, 891, 2127, 8616, 16, 46339, 1754, 3005, 16122, 6523, 382, 1974, 281, 9632, 536, 2394, 4309, 35621, 42983, 4220, 1278, 288, 3588, 18, 48646, 349, 49564, 16, 282, 6031, 16, 34370, 687, 1251, 5854, 15855, 20770, 18, 29111, 2587, 18, 24028, 430, 18, 7009, 324, 3874, 2592, 43168, 510, 491, 30, 6862, 18, 10164, 31, 491, 18, 967, 820, 4468, 293, 552, 4668, 2239, 16, 3420, 31, 816, 18, 10989, 1368, 1467, 728, 354, 265, 4015, 412, 473, 10524, 510, 403, 427, 13, 4668, 2239, 16, 8914, 3069, 3703, 18, 28438, 378, 6002, 18746, 473, 11825, 13, 4668, 1286, 16, 10207, 18, 3417, 646, 308, 18, 24028, 430, 18, 5014, 420, 363, 4468, 293, 273, 6036, 4015, 7662, 370, 651, 2555, 18, 8725, 16, 15118, 491, 18, 34061, 3874, 293, 35480, 651, 2555, 18, 3324, 16, 8979, 816, 18, 2151, 4991, 688, 1994, 34082, 6036, 1789, 507, 265, 473, 10524, 651, 403, 427, 13, 651, 2555, 18, 11629, 16, 10821, 18, 3874, 2592, 43168, 26851, 14015, 2059, 411, 47310, 973, 32123, 2587, 368, 9309, 18, 14587, 1760, 4017, 25941, 4110, 9313, 412, 382, 4798, 44639, 301, 22149, 944, 289, 10655, 10066, 263, 11997, 507, 18, 4541, 697, 46807, 3457, 294, 891, 382, 16, 961, 309, 5897, 4793, 2852, 281, 23137, 8482, 36129, 4024, 428, 445, 3874, 2592, 43168, 18, 26849, 549, 45617, 294, 891, 933, 32123, 2587, 368, 27935, 455, 3118, 16 ]
[ 3387, 5854, 2203, 1335, 2553, 38346, 326, 1251, 1807, 1992, 14277, 40203, 18, 3874, 2592, 43168, 8418, 332, 3429, 1027, 2992, 967, 2557, 4468, 293, 552, 2123, 7264, 16, 367, 14515, 2756, 281, 13303, 12270, 360, 15465, 282, 474, 353, 13689, 10989, 1368, 4015, 412, 18, 7704, 649, 6571, 15513, 17659, 416, 7211, 382, 2227, 276, 472, 22287, 7096, 1832, 282, 491, 30, 3114, 30, 4691, 828, 265, 4031, 582, 322, 3225, 16, 2686, 15513, 17310, 15784, 366, 16, 8380, 1779, 472, 22287, 7096, 1832, 764, 281, 49144, 17, 29041, 16, 685, 6973, 637, 18, 45671, 5571, 32123, 2587, 343, 651, 28438, 378, 6002, 18746, 651, 22607, 460, 6406, 3703, 17, 295, 18, 19065, 16, 374, 1678, 17241, 2874, 18007, 40695, 510, 14537, 274, 1034, 348, 809, 401, 1624, 1540, 486, 439, 3736, 401, 289, 640, 7014, 1614, 332, 1496, 401, 510, 40211, 16628, 2422, 14620, 365, 1182, 8222, 16, 753, 34930, 294, 360, 33925, 309, 16620, 29149, 282, 15243, 16, 1029, 8192, 13798, 18, 832, 639, 22428, 294, 891, 1703, 11471, 1876, 289, 282, 23376, 17494, 486, 309, 3417, 646, 308, 18, 27535, 299, 30346, 5014, 420, 363, 4468, 293, 273, 6036, 4015, 7662, 370, 16, 13556, 9213, 36347, 349, 2555, 1879, 11281, 16, 15118, 13053, 18, 7409, 22607, 460, 6406, 34061, 3874, 293, 35480, 16, 14515, 651, 9186, 305, 688, 1994, 34082, 6036, 1789, 507, 265, 18, 30233, 32123, 2587, 282, 40832, 877, 4732, 289, 5544, 1184, 873, 16, 281, 4079, 7866, 6519, 282, 1046, 1484, 309, 3417, 308, 16, 17386, 1165, 282, 21955, 289, 34050, 750, 31753, 18, 2112, 4183, 6974, 4696, 282, 4784, 349, 15656, 1379, 6096, 44008, 2169, 685, 529, 25882, 966, 411, 2555, 6367, 18, 2046, 7365, 539, 18804, 282, 17386, 1165, 282, 21955, 473, 26648, 2523, 6441, 934, 367, 2512, 289, 282, 34050, 750, 31753, 473, 275, 4123, 1756, 13, 19344, 975, 14310, 309, 1032, 17, 263, 1756, 18, 439, 1011, 26123, 6974, 4696, 473, 48919, 7840, 282, 17936, 13, 44008, 2169, 289, 4521, 4223, 282, 21854, 5544, 1184, 1042, 18, 365, 1335, 14552, 404, 47143, 7846, 2992, 6441, 473, 22, 16, 3940, 308, 934, 329, 22603, 34314, 1159, 16404, 272, 11282, 1819, 378, 271, 5353, 2099, 272, 18, 365, 4784, 349, 15656, 44008, 2169, 18462, 23256, 24, 26654, 16, 653, 7152, 525, 19874, 13590, 274, 8474, 488, 289, 31954, 5097, 459, 5097, 309, 491, 289, 2123, 12994, 8774, 18, 365, 23356, 17494, 486, 309, 25154, 308, 281, 26993, 353, 7451, 19518, 999, 4237, 401, 289, 17860, 8474, 6500, 401, 18, 999, 4237, 401, 15075, 11959, 41386, 6441, 16, 282, 502, 808, 428, 8474, 6500, 401, 17306, 701, 334, 1612, 18, 999, 19650, 1271, 4642, 1463, 282, 10417, 750, 27032, 36126, 5402, 335, 433, 12084, 1624, 43009, 1912, 17, 295, 6441, 289, 45828, 275, 13180, 4378, 13440, 282, 23356, 18, 365, 9258, 1733, 20791, 2496, 5640, 877, 609, 281, 43141, 1196, 811, 6370, 2326, 679, 643, 1275, 1624, 281, 4056, 9868, 2027, 6954, 9427, 659, 651, 1061, 16, 12695, 308, 18, 403, 6095, 16, 38742, 2394, 320, 36082, 282, 25886, 1153, 10618, 23263, 1042, 34437, 24260, 322, 6382, 16, 43009, 687, 1061, 16, 3324, 18, 365, 23708, 300, 17494, 486, 309, 14953, 308, 11623, 4223, 16586, 778, 14007, 5347, 375, 9543, 9689, 288, 3930, 778, 1624, 48253, 1595, 7953, 451, 17494, 297, 18, 9838, 5539, 6315, 418, 669, 21736, 289, 25486, 1241, 513, 1690, 1162, 1196, 2602, 282, 23708, 300, 282, 1046, 1484, 309, 10367, 308, 18, 1241, 513, 1690, 1162, 906, 2992, 282, 3177, 17494, 1484, 281, 16511, 17530, 16, 10164, 13053, 16, 6315, 418, 669, 21736, 1038, 906, 2992, 282, 3177, 46144, 473, 12086, 16, 11275, 814, 365, 17386, 1165, 282, 21955, 36126, 10051, 5461, 13317, 282, 23356, 16, 43009, 21578, 2523, 6441, 2299, 510, 1286, 16, 8318, 289, 5505, 10551, 4024, 27273, 1231, 454, 1789, 671, 286, 17667, 877, 9020, 607, 473, 26, 16, 13944, 934, 41446, 2977, 17382, 5133, 2230, 1368, 2572, 17, 732, 342, 28499, 473, 26, 16, 5737, 13, 289, 7211, 454, 504, 2640, 354, 307, 472, 511, 473, 26, 16, 11842, 814, 3791, 282, 23356, 19702, 13317, 764, 2197, 11854, 343, 510, 9409, 26590, 320, 5269, 473, 26, 16, 14746, 814, 11333, 7036, 16, 6034, 289, 7005, 334, 16244, 27411, 7805, 942, 5298, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 3096, 25217, 23488, 448, 23500, 309, 11340, 1066, 34726, 14886, 15361, 16, 11903, 448, 37732, 18, 13528, 2005, 5792, 290, 22005, 2125, 1472, 3744, 5559, 16, 31999, 8501, 18, 1787, 15316, 7811, 281, 37612, 6453, 322, 15361, 16, 367, 9427, 6676, 29125, 16, 16405, 12189, 18, 31224, 30, 25769, 7122, 27527, 38041, 3447, 11397, 15361, 541, 25215, 6431, 27898, 2891, 16, 282, 1639, 5278, 324, 35305, 18534, 334, 3705, 281, 12522, 353, 2954, 289, 7257, 334, 1804, 2675, 22005, 18, 5602, 323, 541, 5115, 6325, 473, 6294, 282, 18923, 478, 32485, 18, 8381, 9979, 12393, 925, 6144, 3595, 9118, 37731, 22005, 16, 42627, 282, 5118, 281, 7940, 2509, 26752, 37731, 22005, 15046, 19401, 27898, 2891, 18, 26358, 1161, 3010, 282, 11130, 4479, 779, 685, 7622, 987, 2713, 2209, 45364, 334, 28705, 34461, 17773, 16, 5130, 282, 587, 395, 41971, 6325, 18, 19735, 286, 8570, 6557, 2625, 16, 428, 25217, 12522, 2954, 289, 7257, 281, 478, 2499, 4516, 416, 13988, 470, 290, 14938, 11340, 4568, 35044, 292, 1087, 10614, 3302, 510, 290, 1721, 348, 5400, 763, 19335, 16, 20785, 289, 4092, 712, 16, 11940, 281, 1087, 1878, 3376, 16, 12794, 294, 12441, 1147, 49088, 16, 290, 9423, 14055, 8343, 20813, 16, 1586, 7332, 670, 895, 7869, 294, 5074, 552, 7405, 16, 290, 47201, 11220, 7405, 18, 439, 35667, 448, 12522, 289, 12522, 749, 20341, 309, 19569, 1562, 289, 7482, 1101, 22083, 13880, 428, 478, 627, 2497, 470, 289, 282, 15578, 268, 1484, 38049, 322, 15870, 18, 29503, 2998, 309, 14886, 942, 334, 1514, 42385, 2630, 30, 2737, 1370, 473, 296, 1000, 13402, 670, 4937, 536, 34496, 934, 334, 8352, 473, 324, 12589, 478, 23586, 2624, 5625, 470, 670, 478, 19560, 29711, 19420, 12235, 309, 26979, 29401, 329, 14314, 670, 18675, 1378, 1562, 36193, 16, 281, 3195, 4772, 17, 11178, 712, 36193, 16, 5130, 282, 16889, 4678, 18, 2949, 924, 16, 11413, 277, 45119, 8197, 32342, 25000, 282, 5792, 20446, 18673, 290, 1804, 2662, 22005, 16, 5130, 282, 16889, 4678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3387, 5854, 2203, 1335, 2553, 38346, 326, 1251, 1807, 1992, 14277, 40203, 18, 3874, 2592, 43168, 8418, 332, 3429, 1027, 2992, 967, 2557, 4468, 293, 552, 2123, 7264, 16, 367, 14515, 2756, 281, 13303, 12270, 360, 15465, 282, 474, 353, 13689, 10989, 1368, 4015, 412, 18, 7704, 649, 6571, 15513, 17659, 416, 7211, 382, 2227, 276, 472, 22287, 7096, 1832, 282, 491, 30, 3114, 30, 4691, 828, 265, 4031, 582, 322, 3225, 16, 2686, 15513, 17310, 15784, 366, 16, 8380, 1779, 472, 22287, 7096, 1832, 764, 281, 49144, 17, 29041, 16, 685, 6973, 637, 18, 45671, 5571, 32123, 2587, 343, 651, 28438, 378, 6002, 18746, 651, 22607, 460, 6406, 3703, 17, 295, 18, 19065, 16, 374, 1678, 17241, 2874, 18007, 40695, 510, 14537, 274, 1034, 348, 809, 401, 1624, 1540, 486, 439, 3736, 401, 289, 640, 7014, 1614, 332, 1496, 401, 510, 40211, 16628, 2422, 14620, 365, 1182, 8222, 16, 753, 34930, 294, 360, 33925, 309, 16620, 29149, 282, 15243, 16, 1029, 8192, 13798, 18, 832, 639, 22428, 294, 891, 1703, 11471, 1876, 289, 282, 23376, 17494, 486, 309, 3417, 646, 308, 18, 27535, 299, 30346, 5014, 420, 363, 4468, 293, 273, 6036, 4015, 7662, 370, 16, 13556, 9213, 36347, 349, 2555, 1879, 11281, 16, 15118, 13053, 18, 7409, 22607, 460, 6406, 34061, 3874, 293, 35480, 16, 14515, 651, 9186, 305, 688, 1994, 34082, 6036, 1789, 507, 265, 18, 30233, 32123, 2587, 282, 40832, 877, 4732, 289, 5544, 1184, 873, 16, 281, 4079, 7866, 6519, 282, 1046, 1484, 309, 3417, 308, 16, 17386, 1165, 282, 21955, 289, 34050, 750, 31753, 18, 2112, 4183, 6974, 4696, 282, 4784, 349, 15656, 1379, 6096, 44008, 2169, 685, 529, 25882, 966, 411, 2555, 6367, 18, 2046, 7365, 539, 18804, 282, 17386, 1165, 282, 21955, 473, 26648, 2523, 6441, 934, 367, 2512, 289, 282, 34050, 750, 31753, 473, 275, 4123, 1756, 13, 19344, 975, 14310, 309, 1032, 17, 263, 1756, 18, 439, 1011, 26123, 6974, 4696, 473, 48919, 7840, 282, 17936, 13, 44008, 2169, 289, 4521, 4223, 282, 21854, 5544, 1184, 1042, 18, 365, 1335, 14552, 404, 47143, 7846, 2992, 6441, 473, 22, 16, 3940, 308, 934, 329, 22603, 34314, 1159, 16404, 272, 11282, 1819, 378, 271, 5353, 2099, 272, 18, 365, 4784, 349, 15656, 44008, 2169, 18462, 23256, 24, 26654, 16, 653, 7152, 525, 19874, 13590, 274, 8474, 488, 289, 31954, 5097, 459, 5097, 309, 491, 289, 2123, 12994, 8774, 18, 365, 23356, 17494, 486, 309, 25154, 308, 281, 26993, 353, 7451, 19518, 999, 4237, 401, 289, 17860, 8474, 6500, 401, 18, 999, 4237, 401, 15075, 11959, 41386, 6441, 16, 282, 502, 808, 428, 8474, 6500, 401, 17306, 701, 334, 1612, 18, 999, 19650, 1271, 4642, 1463, 282, 10417, 750, 27032, 36126, 5402, 335, 433, 12084, 1624, 43009, 1912, 17, 295, 6441, 289, 45828, 275, 13180, 4378, 13440, 282, 23356, 18, 365, 9258, 1733, 20791, 2496, 5640, 877, 609, 281, 43141, 1196, 811, 6370, 2326, 679, 643, 1275, 1624, 281, 4056, 9868, 2027, 6954, 9427, 659, 651, 1061, 16, 12695, 308, 18, 403, 6095, 16, 38742, 2394, 320, 36082, 282, 25886, 1153, 10618, 23263, 1042, 34437, 24260, 322, 6382, 16, 43009, 687, 1061, 16, 3324, 18, 365, 23708, 300, 17494, 486, 309, 14953, 308, 11623, 4223, 16586, 778, 14007, 5347, 375, 9543, 9689, 288, 3930, 778, 1624, 48253, 1595, 7953, 451, 17494, 297, 18, 9838, 5539, 6315, 418, 669, 21736, 289, 25486, 1241, 513, 1690, 1162, 1196, 2602, 282, 23708, 300, 282, 1046, 1484, 309, 10367, 308, 18, 1241, 513, 1690, 1162, 906, 2992, 282, 3177, 17494, 1484, 281, 16511, 17530, 16, 10164, 13053, 16, 6315, 418, 669, 21736, 1038, 906, 2992, 282, 3177, 46144, 473, 12086, 16, 11275, 814, 365, 17386, 1165, 282, 21955, 36126, 10051, 5461, 13317, 282, 23356, 16, 43009, 21578, 2523, 6441, 2299, 510, 1286, 16, 8318, 289, 5505, 10551, 4024, 27273, 1231, 454, 1789, 671, 286, 17667, 877, 9020, 607, 473, 26, 16, 13944, 934, 41446, 2977, 17382, 5133, 2230, 1368, 2572, 17, 732, 342, 28499, 473, 26, 16, 5737, 13, 289, 7211, 454, 504, 2640, 354, 307, 472, 511, 473, 26, 16, 11842, 814, 3791, 282, 23356, 19702, 13317, 764, 2197, 11854, 343, 510, 9409, 26590, 320, 5269, 473, 26, 16, 14746, 814, 11333, 7036, 16, 6034, 289, 7005, 334, 16244, 27411, 7805, 942, 5298, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 3096, 25217, 23488, 448, 23500, 309, 11340, 1066, 34726, 14886, 15361, 16, 11903, 448, 37732, 18, 13528, 2005, 5792, 290, 22005, 2125, 1472, 3744, 5559, 16, 31999, 8501, 18, 1787, 15316, 7811, 281, 37612, 6453, 322, 15361, 16, 367, 9427, 6676, 29125, 16, 16405, 12189, 18, 31224, 30, 25769, 7122, 27527, 38041, 3447, 11397, 15361, 541, 25215, 6431, 27898, 2891, 16, 282, 1639, 5278, 324, 35305, 18534, 334, 3705, 281, 12522, 353, 2954, 289, 7257, 334, 1804, 2675, 22005, 18, 5602, 323, 541, 5115, 6325, 473, 6294, 282, 18923, 478, 32485, 18, 8381, 9979, 12393, 925, 6144, 3595, 9118, 37731, 22005, 16, 42627, 282, 5118, 281, 7940, 2509, 26752, 37731, 22005, 15046, 19401, 27898, 2891, 18, 26358, 1161, 3010, 282, 11130, 4479, 779, 685, 7622, 987, 2713, 2209, 45364, 334, 28705, 34461, 17773, 16, 5130, 282, 587, 395, 41971, 6325, 18, 19735, 286, 8570, 6557, 2625, 16, 428, 25217, 12522, 2954, 289, 7257, 281, 478, 2499, 4516, 416, 13988, 470, 290, 14938, 11340, 4568, 35044, 292, 1087, 10614, 3302, 510, 290, 1721, 348, 5400, 763, 19335, 16, 20785, 289, 4092, 712, 16, 11940, 281, 1087, 1878, 3376, 16, 12794, 294, 12441, 1147, 49088, 16, 290, 9423, 14055, 8343, 20813, 16, 1586, 7332, 670, 895, 7869, 294, 5074, 552, 7405, 16, 290, 47201, 11220, 7405, 18, 439, 35667, 448, 12522, 289, 12522, 749, 20341, 309, 19569, 1562, 289, 7482, 1101, 22083, 13880, 428, 478, 627, 2497, 470, 289, 282, 15578, 268, 1484, 38049, 322, 15870, 18, 29503, 2998, 309, 14886, 942, 334, 1514, 42385, 2630, 30, 2737, 1370, 473, 296, 1000, 13402, 670, 4937, 536, 34496, 934, 334, 8352, 473, 324, 12589, 478, 23586, 2624, 5625, 470, 670, 478, 19560, 29711, 19420, 12235, 309, 26979, 29401, 329, 14314, 670, 18675, 1378, 1562, 36193, 16, 281, 3195, 4772, 17, 11178, 712, 36193, 16, 5130, 282, 16889, 4678, 18, 2949, 924, 16, 11413, 277, 45119, 8197, 32342, 25000, 282, 5792, 20446, 18673, 290, 1804, 2662, 22005, 16, 5130, 282, 16889, 4678 ]
[ 18, 415, 2567, 41615, 3014, 11205, 1855, 19790, 15719, 434, 11413, 18, 985, 19544, 281, 7071, 7183, 5613, 2915, 16, 15361, 322, 5542, 10531, 18, 14531, 2357, 290, 22005, 2993, 953, 31058, 282, 3178, 3437, 2868, 281, 6175, 24749, 282, 28402, 16, 282, 5118, 281, 15778, 12230, 924, 670, 13793, 11413, 3017, 895, 953, 5914, 1235, 18, 1178, 14255, 23527, 1188, 3113, 3317, 16, 505, 32288, 2879, 34065, 282, 2615, 15029, 1119, 1011, 697, 9512, 18, 13528, 2005, 290, 2259, 11795, 670, 46496, 11340, 4568, 41939, 17360, 9368, 39917, 309, 18071, 478, 275, 2628, 18595, 10286, 910, 322, 5542, 2636, 2710, 18, 2112, 8314, 12522, 17360, 9368, 5666, 4694, 27752, 22224, 4141, 478, 275, 9643, 36003, 282, 1129, 27542, 3352, 290, 14938, 35044, 292, 861, 14531, 2005, 16, 282, 1639, 3433, 5825, 21162, 16, 2125, 32010, 3012, 1954, 2103, 10294, 15046, 11413, 670, 505, 6159, 2009, 15099, 16, 505, 5654, 10294, 670, 4804, 10091, 38972, 334, 10897, 954, 12794, 294, 12441, 1147, 49088, 1087, 10614, 3302, 16, 37299, 282, 27246, 18, 36025, 26724, 5348, 281, 46106, 12522, 353, 14903, 16688, 22833, 2206, 16, 282, 1754, 37823, 15590, 2873, 289, 10064, 12119, 8390, 334, 13229, 12522, 16, 5130, 282, 25223, 18, 8353, 9164, 349, 18071, 15416, 3029, 2102, 15099, 11413, 334, 12289, 9068, 11340, 4568, 19690, 8895, 18, 640, 1599, 2666, 12522, 282, 1087, 350, 1709, 670, 6043, 4151, 16, 309, 1639, 48982, 1576, 1947, 16, 2993, 953, 16753, 16, 6881, 16188, 36219, 18, 608, 5089, 1070, 290, 33474, 12522, 294, 46837, 2993, 953, 25907, 1576, 10294, 282, 3178, 1061, 2868, 477, 2299, 8314, 18, 608, 18473, 2879, 953, 2678, 9038, 4371, 2036, 1209, 46644, 20594, 1728, 12522, 334, 8352, 478, 23586, 2607, 5625, 910, 4772, 272, 670, 309, 26979, 29401, 329, 14886, 16, 48816, 349, 23512, 38049, 18, 8353, 14073, 349, 18071, 12522, 1038, 17360, 9368, 39917, 1576, 10294, 25008, 20572, 7792, 381, 7934, 33673, 1810, 281, 6790, 979, 18, 18129, 290, 34925, 19569, 19914, 22005, 11660, 5854, 42756, 1887, 33811, 16, 309, 2024, 48982, 16, 502, 912, 7904, 19401, 16, 282, 2114, 1500, 4452, 18, 27695, 42756, 1887, 1038, 895, 5134, 3003, 290, 33523, 19914, 411, 12522, 309, 11073, 8424, 334, 10897, 954, 12794, 294, 12441, 1147, 49088, 1087, 10614, 3302, 18, 365, 1750, 5941, 334, 6790, 954, 895, 953, 14127, 10159, 282, 9597, 16, 19393, 1733, 18622, 17, 45486, 328, 668, 5998, 16, 29039, 15361, 18, 365, 41278, 1576, 10294, 16, 1029, 25356, 38635, 349, 18071, 16, 2993, 1026, 4214, 290, 722, 28563, 16, 4075, 292, 8424, 334, 10897, 954, 12794, 294, 12441, 1147, 49088, 1087, 10614, 3302, 473, 10767, 2388, 898, 934, 367, 1038, 290, 41505, 41257, 16, 282, 970, 2875, 290, 24592, 2559, 8217, 294, 1087, 10614, 7404, 16, 2024, 39027, 14255, 18, 365, 502, 575, 808, 282, 41278, 895, 998, 506, 381, 16715, 19961, 541, 5743, 10438, 289, 290, 970, 16, 374, 13061, 22005, 322, 3238, 16317, 18, 824, 14371, 478, 630, 4666, 20594, 38049, 2954, 470, 14255, 2993, 953, 4755, 24723, 282, 3178, 2555, 2868, 477, 2299, 8314, 18, 19735, 286, 8570, 3219, 7267, 2103, 5970, 1087, 350, 23150, 25840, 1033, 18595, 10286, 18, 608, 405, 331, 7050, 10286, 35439, 2125, 953, 21079, 318, 282, 46559, 15778, 11153, 11413, 16, 5130, 282, 17229, 36219, 18, 28027, 11397, 15361, 2950, 3116, 530, 294, 44657, 11204, 7811, 281, 37612, 30, 20006, 9427, 6676, 29125, 16, 367, 322, 1139, 15361, 16, 2548, 41321, 45245, 5308, 7234, 8973, 20828, 306, 2931, 18, 18179, 17194, 622, 34516, 309, 18071, 23488, 432, 38049, 12189, 13363, 11524, 8382, 30, 9427, 16, 4092, 735, 3308, 23512, 23488, 368, 16, 5092, 764, 281, 12110, 2252, 16, 13744, 492, 18, 385, 2059, 1963, 16, 23488, 448, 8862, 1698, 20895, 2826, 20597, 289, 24446, 4371, 16, 515, 16, 281, 2107, 1963, 16, 9307, 870, 2403, 6841, 16, 4725, 12189, 18, 1278, 268, 17148, 2023, 16, 2353, 520, 4092, 4138, 697, 23512, 16, 4525, 16, 2548, 20828, 306, 2931, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 17635, 4137, 43132, 15279, 10850, 29010, 778, 38656, 3216, 478, 730, 5944, 2266, 23682, 861, 12726, 15154, 30081, 282, 29678, 8564, 3763, 18, 31336, 724, 572, 726, 24510, 282, 27175, 361, 289, 24742, 475, 8380, 3793, 49491, 13961, 18, 31224, 30, 15308, 1176, 9805, 17635, 3508, 10850, 38656, 3216, 16, 367, 1717, 1176, 411, 14314, 478, 4580, 1246, 24634, 470, 1624, 8709, 478, 563, 315, 2423, 470, 289, 15861, 3463, 478, 8871, 2892, 12148, 470, 4137, 43132, 1624, 1029, 478, 911, 39597, 2941, 470, 309, 29010, 778, 478, 730, 5944, 2266, 23682, 861, 29965, 808, 2158, 492, 24510, 282, 27175, 361, 289, 24742, 475, 8380, 3793, 49491, 13961, 18, 12726, 15154, 30081, 282, 29678, 8564, 3763, 18, 1591, 808, 13565, 9838, 1043, 46058, 22322, 778, 17704, 23261, 19987, 267, 16, 9956, 334, 4547, 16, 5358, 1815, 7670, 2409, 289, 281, 3990, 3067, 7216, 31052, 19782, 478, 730, 5944, 2266, 23682, 470, 37970, 2101, 16386, 281, 7514, 758, 4458, 7771, 18, 12280, 8097, 16, 374, 481, 726, 322, 7732, 15068, 37697, 1852, 32121, 42879, 4966, 18, 365, 803, 1045, 478, 8871, 2892, 12148, 470, 11638, 5245, 9744, 290, 50114, 478, 13741, 560, 861, 3791, 29572, 8862, 290, 17472, 9838, 1043, 5529, 1176, 411, 23904, 11202, 14504, 40657, 18, 3557, 322, 2619, 16, 2101, 1532, 42383, 8881, 1759, 1816, 11738, 281, 17234, 17635, 304, 16, 2686, 289, 322, 42383, 16, 374, 2259, 294, 6268, 954, 15154, 281, 10287, 758, 4458, 7771, 18, 27370, 503, 4137, 43132, 985, 5301, 29010, 1162, 9063, 477, 7755, 309, 10958, 18045, 593, 463, 7578, 16, 36273, 9934, 309, 21090, 7540, 18, 478, 17603, 481, 726, 1247, 1612, 16, 785, 381, 803, 3696, 530, 10211, 18, 41120, 16722, 764, 322, 26390, 281, 27402, 9838, 26550, 670, 505, 31105, 5987, 8676, 13564, 2509, 16, 515, 7084, 2101, 1532, 3893, 16, 374, 329, 1967, 1512, 912, 2764, 16, 374, 475, 11055, 16, 289, 36273, 895, 34065, 910, 510, 7332, 1694, 15479, 31811, 294, 17234, 17635, 395, 29542, 94, 2426, 18, 1860, 462, 847, 26324, 29010, 718, 7586, 670, 1003, 16, 25562, 808, 18, 3397, 9478, 2361, 510, 22322, 778, 17704, 23261, 19987, 267, 3957, 4693, 3216, 424, 1595, 6457, 18, 4756, 639, 3665, 16, 374, 7084, 19987, 267, 15936, 541, 1335, 4966, 23271, 18, 1937, 12961, 322, 3225, 587, 7114, 2869, 282, 1805, 16, 639, 7239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 415, 2567, 41615, 3014, 11205, 1855, 19790, 15719, 434, 11413, 18, 985, 19544, 281, 7071, 7183, 5613, 2915, 16, 15361, 322, 5542, 10531, 18, 14531, 2357, 290, 22005, 2993, 953, 31058, 282, 3178, 3437, 2868, 281, 6175, 24749, 282, 28402, 16, 282, 5118, 281, 15778, 12230, 924, 670, 13793, 11413, 3017, 895, 953, 5914, 1235, 18, 1178, 14255, 23527, 1188, 3113, 3317, 16, 505, 32288, 2879, 34065, 282, 2615, 15029, 1119, 1011, 697, 9512, 18, 13528, 2005, 290, 2259, 11795, 670, 46496, 11340, 4568, 41939, 17360, 9368, 39917, 309, 18071, 478, 275, 2628, 18595, 10286, 910, 322, 5542, 2636, 2710, 18, 2112, 8314, 12522, 17360, 9368, 5666, 4694, 27752, 22224, 4141, 478, 275, 9643, 36003, 282, 1129, 27542, 3352, 290, 14938, 35044, 292, 861, 14531, 2005, 16, 282, 1639, 3433, 5825, 21162, 16, 2125, 32010, 3012, 1954, 2103, 10294, 15046, 11413, 670, 505, 6159, 2009, 15099, 16, 505, 5654, 10294, 670, 4804, 10091, 38972, 334, 10897, 954, 12794, 294, 12441, 1147, 49088, 1087, 10614, 3302, 16, 37299, 282, 27246, 18, 36025, 26724, 5348, 281, 46106, 12522, 353, 14903, 16688, 22833, 2206, 16, 282, 1754, 37823, 15590, 2873, 289, 10064, 12119, 8390, 334, 13229, 12522, 16, 5130, 282, 25223, 18, 8353, 9164, 349, 18071, 15416, 3029, 2102, 15099, 11413, 334, 12289, 9068, 11340, 4568, 19690, 8895, 18, 640, 1599, 2666, 12522, 282, 1087, 350, 1709, 670, 6043, 4151, 16, 309, 1639, 48982, 1576, 1947, 16, 2993, 953, 16753, 16, 6881, 16188, 36219, 18, 608, 5089, 1070, 290, 33474, 12522, 294, 46837, 2993, 953, 25907, 1576, 10294, 282, 3178, 1061, 2868, 477, 2299, 8314, 18, 608, 18473, 2879, 953, 2678, 9038, 4371, 2036, 1209, 46644, 20594, 1728, 12522, 334, 8352, 478, 23586, 2607, 5625, 910, 4772, 272, 670, 309, 26979, 29401, 329, 14886, 16, 48816, 349, 23512, 38049, 18, 8353, 14073, 349, 18071, 12522, 1038, 17360, 9368, 39917, 1576, 10294, 25008, 20572, 7792, 381, 7934, 33673, 1810, 281, 6790, 979, 18, 18129, 290, 34925, 19569, 19914, 22005, 11660, 5854, 42756, 1887, 33811, 16, 309, 2024, 48982, 16, 502, 912, 7904, 19401, 16, 282, 2114, 1500, 4452, 18, 27695, 42756, 1887, 1038, 895, 5134, 3003, 290, 33523, 19914, 411, 12522, 309, 11073, 8424, 334, 10897, 954, 12794, 294, 12441, 1147, 49088, 1087, 10614, 3302, 18, 365, 1750, 5941, 334, 6790, 954, 895, 953, 14127, 10159, 282, 9597, 16, 19393, 1733, 18622, 17, 45486, 328, 668, 5998, 16, 29039, 15361, 18, 365, 41278, 1576, 10294, 16, 1029, 25356, 38635, 349, 18071, 16, 2993, 1026, 4214, 290, 722, 28563, 16, 4075, 292, 8424, 334, 10897, 954, 12794, 294, 12441, 1147, 49088, 1087, 10614, 3302, 473, 10767, 2388, 898, 934, 367, 1038, 290, 41505, 41257, 16, 282, 970, 2875, 290, 24592, 2559, 8217, 294, 1087, 10614, 7404, 16, 2024, 39027, 14255, 18, 365, 502, 575, 808, 282, 41278, 895, 998, 506, 381, 16715, 19961, 541, 5743, 10438, 289, 290, 970, 16, 374, 13061, 22005, 322, 3238, 16317, 18, 824, 14371, 478, 630, 4666, 20594, 38049, 2954, 470, 14255, 2993, 953, 4755, 24723, 282, 3178, 2555, 2868, 477, 2299, 8314, 18, 19735, 286, 8570, 3219, 7267, 2103, 5970, 1087, 350, 23150, 25840, 1033, 18595, 10286, 18, 608, 405, 331, 7050, 10286, 35439, 2125, 953, 21079, 318, 282, 46559, 15778, 11153, 11413, 16, 5130, 282, 17229, 36219, 18, 28027, 11397, 15361, 2950, 3116, 530, 294, 44657, 11204, 7811, 281, 37612, 30, 20006, 9427, 6676, 29125, 16, 367, 322, 1139, 15361, 16, 2548, 41321, 45245, 5308, 7234, 8973, 20828, 306, 2931, 18, 18179, 17194, 622, 34516, 309, 18071, 23488, 432, 38049, 12189, 13363, 11524, 8382, 30, 9427, 16, 4092, 735, 3308, 23512, 23488, 368, 16, 5092, 764, 281, 12110, 2252, 16, 13744, 492, 18, 385, 2059, 1963, 16, 23488, 448, 8862, 1698, 20895, 2826, 20597, 289, 24446, 4371, 16, 515, 16, 281, 2107, 1963, 16, 9307, 870, 2403, 6841, 16, 4725, 12189, 18, 1278, 268, 17148, 2023, 16, 2353, 520, 4092, 4138, 697, 23512, 16, 4525, 16, 2548, 20828, 306, 2931, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 17635, 4137, 43132, 15279, 10850, 29010, 778, 38656, 3216, 478, 730, 5944, 2266, 23682, 861, 12726, 15154, 30081, 282, 29678, 8564, 3763, 18, 31336, 724, 572, 726, 24510, 282, 27175, 361, 289, 24742, 475, 8380, 3793, 49491, 13961, 18, 31224, 30, 15308, 1176, 9805, 17635, 3508, 10850, 38656, 3216, 16, 367, 1717, 1176, 411, 14314, 478, 4580, 1246, 24634, 470, 1624, 8709, 478, 563, 315, 2423, 470, 289, 15861, 3463, 478, 8871, 2892, 12148, 470, 4137, 43132, 1624, 1029, 478, 911, 39597, 2941, 470, 309, 29010, 778, 478, 730, 5944, 2266, 23682, 861, 29965, 808, 2158, 492, 24510, 282, 27175, 361, 289, 24742, 475, 8380, 3793, 49491, 13961, 18, 12726, 15154, 30081, 282, 29678, 8564, 3763, 18, 1591, 808, 13565, 9838, 1043, 46058, 22322, 778, 17704, 23261, 19987, 267, 16, 9956, 334, 4547, 16, 5358, 1815, 7670, 2409, 289, 281, 3990, 3067, 7216, 31052, 19782, 478, 730, 5944, 2266, 23682, 470, 37970, 2101, 16386, 281, 7514, 758, 4458, 7771, 18, 12280, 8097, 16, 374, 481, 726, 322, 7732, 15068, 37697, 1852, 32121, 42879, 4966, 18, 365, 803, 1045, 478, 8871, 2892, 12148, 470, 11638, 5245, 9744, 290, 50114, 478, 13741, 560, 861, 3791, 29572, 8862, 290, 17472, 9838, 1043, 5529, 1176, 411, 23904, 11202, 14504, 40657, 18, 3557, 322, 2619, 16, 2101, 1532, 42383, 8881, 1759, 1816, 11738, 281, 17234, 17635, 304, 16, 2686, 289, 322, 42383, 16, 374, 2259, 294, 6268, 954, 15154, 281, 10287, 758, 4458, 7771, 18, 27370, 503, 4137, 43132, 985, 5301, 29010, 1162, 9063, 477, 7755, 309, 10958, 18045, 593, 463, 7578, 16, 36273, 9934, 309, 21090, 7540, 18, 478, 17603, 481, 726, 1247, 1612, 16, 785, 381, 803, 3696, 530, 10211, 18, 41120, 16722, 764, 322, 26390, 281, 27402, 9838, 26550, 670, 505, 31105, 5987, 8676, 13564, 2509, 16, 515, 7084, 2101, 1532, 3893, 16, 374, 329, 1967, 1512, 912, 2764, 16, 374, 475, 11055, 16, 289, 36273, 895, 34065, 910, 510, 7332, 1694, 15479, 31811, 294, 17234, 17635, 395, 29542, 94, 2426, 18, 1860, 462, 847, 26324, 29010, 718, 7586, 670, 1003, 16, 25562, 808, 18, 3397, 9478, 2361, 510, 22322, 778, 17704, 23261, 19987, 267, 3957, 4693, 3216, 424, 1595, 6457, 18, 4756, 639, 3665, 16, 374, 7084, 19987, 267, 15936, 541, 1335, 4966, 23271, 18, 1937, 12961, 322, 3225, 587, 7114, 2869, 282, 1805, 16, 639, 7239 ]
[ 3003, 32046, 17678, 12877, 48832, 5109, 16, 374, 3216, 2003, 34835, 309, 16790, 16, 3110, 1075, 3669, 1284, 31020, 18, 1178, 575, 475, 17, 2767, 9838, 28499, 289, 13564, 11118, 9553, 10850, 6457, 451, 11446, 11400, 16, 502, 481, 840, 322, 2615, 3022, 16, 785, 9805, 17704, 4040, 32121, 33450, 7586, 18, 996, 16, 6842, 868, 9810, 38213, 1447, 23414, 29709, 27408, 7638, 17, 38915, 478, 36796, 910, 367, 505, 19753, 27869, 7362, 14018, 27977, 21676, 23414, 27845, 11400, 4758, 22322, 718, 7586, 510, 478, 31742, 455, 861, 11333, 7036, 289, 14326, 16287, 942, 5298, 309, 7759, 6190, 43535, 1042, 2, 1, 87, 1456, 81, 2448, 30, 25769, 328, 8494, 282, 24754, 349, 16906, 431, 12231, 5003, 304, 309, 7512, 519, 4843, 28, 5096, 16, 3003, 840, 7239, 282, 3178, 1949, 8560, 18, 9046, 746, 44222, 11944, 651, 31239, 15068, 37351, 3493, 309, 6551, 16, 753, 3604, 5003, 360, 1764, 269, 43711, 11169, 309, 15635, 7113, 4190, 749, 16094, 10929, 1087, 333, 31892, 18, 740, 282, 1177, 445, 15068, 840, 17097, 1124, 11692, 30, 329, 24754, 40225, 2644, 16, 367, 329, 24307, 14440, 3860, 281, 39667, 16, 6881, 14697, 18, 31224, 30, 471, 11162, 8557, 15783, 289, 29996, 7065, 15783, 5741, 3598, 33895, 282, 22481, 8204, 451, 10575, 14255, 290, 29860, 15783, 16906, 431, 5355, 21478, 910, 510, 32556, 7064, 2553, 18, 29263, 3957, 3604, 360, 24754, 360, 4843, 23, 16, 25, 519, 4843, 28, 16, 20, 5096, 282, 4301, 4696, 16, 1586, 895, 1103, 31451, 360, 3437, 519, 4256, 986, 16, 9848, 7638, 17, 13522, 2553, 6070, 33627, 1051, 1447, 18, 38801, 553, 381, 4190, 7358, 21478, 18222, 282, 4301, 17750, 24754, 16, 1586, 14145, 3624, 282, 22967, 430, 4209, 289, 3227, 19976, 1248, 1871, 5576, 18, 478, 677, 4542, 1810, 17750, 1747, 47075, 3586, 32619, 12402, 4096, 282, 20902, 15595, 16, 6268, 1007, 7272, 16, 3143, 4851, 19796, 289, 7824, 3276, 30833, 334, 40669, 4096, 309, 33921, 8204, 547, 5814, 16, 367, 1038, 2753, 798, 2678, 8434, 7255, 536, 8204, 536, 48658, 2170, 8809, 19796, 289, 7824, 3276, 30833, 34902, 42488, 6569, 910, 510, 10050, 12897, 1880, 7064, 18, 9887, 2750, 33144, 17442, 24761, 289, 8204, 451, 9350, 18, 2112, 924, 428, 2891, 2553, 3703, 3598, 19645, 290, 44903, 553, 9526, 21426, 309, 17185, 9, 473, 21806, 8211, 281, 816, 1618, 24, 44222, 2791, 519, 13531, 3161, 2791, 349, 4843, 21, 934, 10359, 6287, 4144, 11968, 11588, 27006, 22429, 289, 9494, 8393, 18, 640, 13519, 11056, 282, 4008, 37081, 590, 612, 265, 281, 48575, 16, 39994, 16, 40811, 289, 8573, 298, 2389, 18, 439, 753, 5529, 42097, 16, 41446, 1013, 9523, 282, 10684, 282, 7544, 1157, 334, 1293, 8560, 16, 3542, 413, 1579, 10490, 282, 8729, 18, 6193, 433, 420, 13850, 25511, 16, 22996, 755, 1038, 31568, 34387, 13756, 309, 31965, 10301, 16, 374, 13748, 294, 3716, 47180, 2010, 11188, 26821, 309, 6190, 6838, 47170, 5814, 18, 478, 26635, 3305, 2353, 18, 16540, 16, 2152, 2780, 20539, 20193, 319, 2710, 17, 299, 19631, 16, 753, 11927, 13547, 16, 515, 290, 18893, 547, 5814, 3111, 322, 6110, 910, 510, 4848, 21408, 7897, 282, 3709, 411, 44222, 6802, 18, 365, 37920, 7234, 30885, 16, 374, 44690, 334, 8872, 779, 14481, 11114, 443, 8799, 5999, 365, 2343, 13519, 5576, 4770, 2553, 3720, 24307, 15488, 15492, 649, 20840, 5439, 289, 32427, 24634, 16, 827, 6591, 2898, 2518, 847, 18, 20346, 9887, 2750, 29159, 1154, 5995, 309, 11963, 2599, 11359, 11588, 289, 6196, 30, 7064, 1958, 857, 529, 21533, 24519, 1195, 4622, 382, 294, 13638, 536, 20456, 13257, 670, 20456, 7334, 350, 13954, 18, 365, 5021, 443, 15853, 6206, 24754, 726, 23085, 15783, 5003, 309, 4843, 23, 16, 25, 5096, 282, 4301, 4696, 13245, 17, 8322, 18, 23092, 47220, 2891, 2553, 294, 8698, 5018, 7079, 7544, 434, 10301, 16, 5009, 11188, 9759, 14600, 289, 15635, 9305, 34818, 22323, 15397, 349, 2948, 4076, 6802, 18, 640, 5606, 33673, 7446, 4696, 12897, 1133, 2891, 6858, 309, 30149, 1357, 34902, 42488, 6569, 16, 374, 13748, 294, 18019, 3707, 867, 3899, 7019, 17850, 519, 2239, 16, 22, 9, 282, 5021, 1045, 18, 2112, 978, 2891, 3424, 11930, 294, 23095, 10985, 1087, 2423, 39609, 18, 889, 6012, 11394, 30313, 18183, 41177, 12448, 11270, 16, 4783, 5583, 6170, 8262, 363, 1013, 282, 16211, 2553, 18, 824, 13976, 309, 430, 3598, 4440, 779, 15987, 1087, 19317, 297, 2553, 5575, 4843, 2479, 16, 28, 5096, 18, 24754, 33420, 16, 374, 9887, 2750, 453, 289, 322, 35708, 10348, 14570, 10027, 541, 18942, 7882, 7740, 277, 411, 10059, 16, 367, 322, 349, 2948, 18575, 267, 2324, 432, 23429, 32427, 24634, 18, 832, 639, 26069, 289, 10027, 334, 36265, 16, 1660, 22427, 24754, 18, 9887, 2750, 1038, 15395, 5003, 282, 4843, 23, 5096, 282, 3178, 4440, 443, 11276, 5521, 329, 34831, 22139, 434, 11131, 1764, 269, 43711, 11169, 16, 7346, 31334, 9609, 18, 740, 3771, 20479, 332, 22774, 30, 12897, 1133, 2891, 2125, 5848, 23388, 8902, 1087, 333, 31892, 428, 8396, 309, 4843, 27, 16, 25, 5096, 282, 3178, 3437, 986, 18, 24307, 726, 35447, 1279, 30, 478, 47033, 6569, 411, 17, 431, 8535, 14923, 2602, 282, 3678, 289, 4732, 22074, 16, 374, 4505, 24307, 6369, 17899, 31294, 3338, 45958, 432, 8743, 16, 289, 935, 7512, 4732, 12498, 510, 3103, 281, 16401, 13814, 4662, 18, 629, 935, 1176, 2695, 349, 5065, 12778, 322, 1103, 395, 861, 824, 3163, 4830, 16, 30652, 675, 349, 45681, 368, 322, 840, 18, 18129, 290, 35205, 21478, 840, 7239, 309, 1335, 11056, 16, 1032, 4209, 18, 1178, 2650, 840, 1713, 5966, 16, 502, 726, 282, 803, 1045, 29263, 895, 3604, 4843, 21, 16, 22, 5096, 2273, 17066, 334, 4843, 23419, 3763, 289, 4843, 24342, 3763, 18, 478, 1295, 525, 18739, 15783, 16, 1727, 8518, 282, 24754, 16, 322, 22431, 13337, 1901, 48006, 294, 46837, 6356, 290, 29860, 15783, 20454, 21478, 411, 4076, 1236, 4415, 22139, 434, 11131, 1764, 269, 43711, 11169, 910, 510, 4848, 478, 46088, 18, 8381, 470, 8624, 12456, 41581, 718, 8709, 3281, 16, 35585, 15631, 11131, 1764, 269, 43711, 11169, 16, 7550, 8413, 317, 8576, 18, 824, 505, 3163, 16, 282, 20172, 13051, 315, 17002, 309, 502, 16, 374, 289, 24754, 16, 289, 1236, 4415, 22139, 451, 10575, 1698, 10685, 17126, 7064, 15783, 18, 14531, 2357, 42912, 282, 24754, 651, 481, 15068, 37351, 3493, 309, 6551, 16, 6881, 14697, 18, 478, 1098, 4474, 6264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3003, 32046, 17678, 12877, 48832, 5109, 16, 374, 3216, 2003, 34835, 309, 16790, 16, 3110, 1075, 3669, 1284, 31020, 18, 1178, 575, 475, 17, 2767, 9838, 28499, 289, 13564, 11118, 9553, 10850, 6457, 451, 11446, 11400, 16, 502, 481, 840, 322, 2615, 3022, 16, 785, 9805, 17704, 4040, 32121, 33450, 7586, 18, 996, 16, 6842, 868, 9810, 38213, 1447, 23414, 29709, 27408, 7638, 17, 38915, 478, 36796, 910, 367, 505, 19753, 27869, 7362, 14018, 27977, 21676, 23414, 27845, 11400, 4758, 22322, 718, 7586, 510, 478, 31742, 455, 861, 11333, 7036, 289, 14326, 16287, 942, 5298, 309, 7759, 6190, 43535, 1042, 2, 1, 87, 1456, 81, 2448, 30, 25769, 328, 8494, 282, 24754, 349, 16906, 431, 12231, 5003, 304, 309, 7512, 519, 4843, 28, 5096, 16, 3003, 840, 7239, 282, 3178, 1949, 8560, 18, 9046, 746, 44222, 11944, 651, 31239, 15068, 37351, 3493, 309, 6551, 16, 753, 3604, 5003, 360, 1764, 269, 43711, 11169, 309, 15635, 7113, 4190, 749, 16094, 10929, 1087, 333, 31892, 18, 740, 282, 1177, 445, 15068, 840, 17097, 1124, 11692, 30, 329, 24754, 40225, 2644, 16, 367, 329, 24307, 14440, 3860, 281, 39667, 16, 6881, 14697, 18, 31224, 30, 471, 11162, 8557, 15783, 289, 29996, 7065, 15783, 5741, 3598, 33895, 282, 22481, 8204, 451, 10575, 14255, 290, 29860, 15783, 16906, 431, 5355, 21478, 910, 510, 32556, 7064, 2553, 18, 29263, 3957, 3604, 360, 24754, 360, 4843, 23, 16, 25, 519, 4843, 28, 16, 20, 5096, 282, 4301, 4696, 16, 1586, 895, 1103, 31451, 360, 3437, 519, 4256, 986, 16, 9848, 7638, 17, 13522, 2553, 6070, 33627, 1051, 1447, 18, 38801, 553, 381, 4190, 7358, 21478, 18222, 282, 4301, 17750, 24754, 16, 1586, 14145, 3624, 282, 22967, 430, 4209, 289, 3227, 19976, 1248, 1871, 5576, 18, 478, 677, 4542, 1810, 17750, 1747, 47075, 3586, 32619, 12402, 4096, 282, 20902, 15595, 16, 6268, 1007, 7272, 16, 3143, 4851, 19796, 289, 7824, 3276, 30833, 334, 40669, 4096, 309, 33921, 8204, 547, 5814, 16, 367, 1038, 2753, 798, 2678, 8434, 7255, 536, 8204, 536, 48658, 2170, 8809, 19796, 289, 7824, 3276, 30833, 34902, 42488, 6569, 910, 510, 10050, 12897, 1880, 7064, 18, 9887, 2750, 33144, 17442, 24761, 289, 8204, 451, 9350, 18, 2112, 924, 428, 2891, 2553, 3703, 3598, 19645, 290, 44903, 553, 9526, 21426, 309, 17185, 9, 473, 21806, 8211, 281, 816, 1618, 24, 44222, 2791, 519, 13531, 3161, 2791, 349, 4843, 21, 934, 10359, 6287, 4144, 11968, 11588, 27006, 22429, 289, 9494, 8393, 18, 640, 13519, 11056, 282, 4008, 37081, 590, 612, 265, 281, 48575, 16, 39994, 16, 40811, 289, 8573, 298, 2389, 18, 439, 753, 5529, 42097, 16, 41446, 1013, 9523, 282, 10684, 282, 7544, 1157, 334, 1293, 8560, 16, 3542, 413, 1579, 10490, 282, 8729, 18, 6193, 433, 420, 13850, 25511, 16, 22996, 755, 1038, 31568, 34387, 13756, 309, 31965, 10301, 16, 374, 13748, 294, 3716, 47180, 2010, 11188, 26821, 309, 6190, 6838, 47170, 5814, 18, 478, 26635, 3305, 2353, 18, 16540, 16, 2152, 2780, 20539, 20193, 319, 2710, 17, 299, 19631, 16, 753, 11927, 13547, 16, 515, 290, 18893, 547, 5814, 3111, 322, 6110, 910, 510, 4848, 21408, 7897, 282, 3709, 411, 44222, 6802, 18, 365, 37920, 7234, 30885, 16, 374, 44690, 334, 8872, 779, 14481, 11114, 443, 8799, 5999, 365, 2343, 13519, 5576, 4770, 2553, 3720, 24307, 15488, 15492, 649, 20840, 5439, 289, 32427, 24634, 16, 827, 6591, 2898, 2518, 847, 18, 20346, 9887, 2750, 29159, 1154, 5995, 309, 11963, 2599, 11359, 11588, 289, 6196, 30, 7064, 1958, 857, 529, 21533, 24519, 1195, 4622, 382, 294, 13638, 536, 20456, 13257, 670, 20456, 7334, 350, 13954, 18, 365, 5021, 443, 15853, 6206, 24754, 726, 23085, 15783, 5003, 309, 4843, 23, 16, 25, 5096, 282, 4301, 4696, 13245, 17, 8322, 18, 23092, 47220, 2891, 2553, 294, 8698, 5018, 7079, 7544, 434, 10301, 16, 5009, 11188, 9759, 14600, 289, 15635, 9305, 34818, 22323, 15397, 349, 2948, 4076, 6802, 18, 640, 5606, 33673, 7446, 4696, 12897, 1133, 2891, 6858, 309, 30149, 1357, 34902, 42488, 6569, 16, 374, 13748, 294, 18019, 3707, 867, 3899, 7019, 17850, 519, 2239, 16, 22, 9, 282, 5021, 1045, 18, 2112, 978, 2891, 3424, 11930, 294, 23095, 10985, 1087, 2423, 39609, 18, 889, 6012, 11394, 30313, 18183, 41177, 12448, 11270, 16, 4783, 5583, 6170, 8262, 363, 1013, 282, 16211, 2553, 18, 824, 13976, 309, 430, 3598, 4440, 779, 15987, 1087, 19317, 297, 2553, 5575, 4843, 2479, 16, 28, 5096, 18, 24754, 33420, 16, 374, 9887, 2750, 453, 289, 322, 35708, 10348, 14570, 10027, 541, 18942, 7882, 7740, 277, 411, 10059, 16, 367, 322, 349, 2948, 18575, 267, 2324, 432, 23429, 32427, 24634, 18, 832, 639, 26069, 289, 10027, 334, 36265, 16, 1660, 22427, 24754, 18, 9887, 2750, 1038, 15395, 5003, 282, 4843, 23, 5096, 282, 3178, 4440, 443, 11276, 5521, 329, 34831, 22139, 434, 11131, 1764, 269, 43711, 11169, 16, 7346, 31334, 9609, 18, 740, 3771, 20479, 332, 22774, 30, 12897, 1133, 2891, 2125, 5848, 23388, 8902, 1087, 333, 31892, 428, 8396, 309, 4843, 27, 16, 25, 5096, 282, 3178, 3437, 986, 18, 24307, 726, 35447, 1279, 30, 478, 47033, 6569, 411, 17, 431, 8535, 14923, 2602, 282, 3678, 289, 4732, 22074, 16, 374, 4505, 24307, 6369, 17899, 31294, 3338, 45958, 432, 8743, 16, 289, 935, 7512, 4732, 12498, 510, 3103, 281, 16401, 13814, 4662, 18, 629, 935, 1176, 2695, 349, 5065, 12778, 322, 1103, 395, 861, 824, 3163, 4830, 16, 30652, 675, 349, 45681, 368, 322, 840, 18, 18129, 290, 35205, 21478, 840, 7239, 309, 1335, 11056, 16, 1032, 4209, 18, 1178, 2650, 840, 1713, 5966, 16, 502, 726, 282, 803, 1045, 29263, 895, 3604, 4843, 21, 16, 22, 5096, 2273, 17066, 334, 4843, 23419, 3763, 289, 4843, 24342, 3763, 18, 478, 1295, 525, 18739, 15783, 16, 1727, 8518, 282, 24754, 16, 322, 22431, 13337, 1901, 48006, 294, 46837, 6356, 290, 29860, 15783, 20454, 21478, 411, 4076, 1236, 4415, 22139, 434, 11131, 1764, 269, 43711, 11169, 910, 510, 4848, 478, 46088, 18, 8381, 470, 8624, 12456, 41581, 718, 8709, 3281, 16, 35585, 15631, 11131, 1764, 269, 43711, 11169, 16, 7550, 8413, 317, 8576, 18, 824, 505, 3163, 16, 282, 20172, 13051, 315, 17002, 309, 502, 16, 374, 289, 24754, 16, 289, 1236, 4415, 22139, 451, 10575, 1698, 10685, 17126, 7064, 15783, 18, 14531, 2357, 42912, 282, 24754, 651, 481, 15068, 37351, 3493, 309, 6551, 16, 6881, 14697, 18, 478, 1098, 4474, 6264 ]
[ 1269, 986, 11347, 282, 5199, 478, 11825, 322, 5695, 4135, 651, 17261, 309, 6564, 861, 889, 14985, 1269, 986, 16, 515, 322, 282, 1177, 445, 18, 608, 24307, 14440, 16020, 3860, 281, 49862, 411, 17, 431, 31776, 933, 6059, 282, 19559, 282, 6104, 1045, 18, 889, 1482, 4562, 25568, 42670, 910, 510, 2548, 6548, 46038, 478, 28737, 32617, 300, 26942, 6096, 28238, 512, 18, 967, 803, 5693, 329, 24754, 2388, 575, 16, 428, 289, 329, 1764, 269, 43711, 11169, 16, 651, 23388, 4504, 289, 11417, 8898, 4504, 7234, 16, 11506, 21012, 18, 478, 563, 2318, 21478, 360, 11131, 651, 16906, 12703, 22945, 567, 808, 5743, 21012, 16, 367, 24307, 322, 3957, 21012, 16, 492, 475, 2764, 2963, 373, 20676, 309, 8156, 10600, 20141, 7234, 18, 365, 803, 8781, 587, 266, 4932, 427, 910, 510, 48922, 28238, 512, 18, 2, 1, 87, 1456, 81, 2448, 30, 9676, 823, 2497, 2891, 21038, 5848, 478, 395, 9649, 306, 470, 21622, 309, 20553, 26335, 23408, 355, 16, 367, 1038, 14217, 2888, 21261, 6997, 309, 1129, 1073, 507, 2169, 289, 3140, 18, 824, 4734, 14971, 16, 282, 1750, 13595, 8501, 8908, 17877, 20928, 13312, 9207, 32394, 18, 31224, 30, 9676, 823, 2497, 2891, 21038, 14217, 2888, 21261, 6997, 309, 20553, 289, 3687, 2000, 1378, 26335, 13606, 18394, 289, 3140, 16, 367, 1038, 6997, 13606, 18394, 309, 17374, 26335, 16, 322, 19984, 3302, 30872, 1640, 18, 15066, 22517, 26119, 282, 7891, 660, 938, 4523, 31427, 4534, 289, 9207, 1568, 478, 630, 13441, 28889, 30778, 39364, 470, 7316, 282, 43788, 554, 597, 25835, 4210, 5452, 29845, 18, 365, 10882, 19048, 685, 4755, 987, 309, 11073, 8424, 334, 11840, 1147, 10268, 289, 39081, 574, 1016, 282, 48490, 541, 28546, 9484, 18, 985, 5130, 282, 16593, 304, 11755, 47255, 4161, 547, 26517, 1061, 422, 18, 17185, 7891, 660, 938, 4523, 31427, 16, 478, 12833, 12526, 39081, 5708, 12375, 32996, 12480, 3518, 5084, 16, 3730, 31334, 309, 46441, 2923, 16, 3687, 2000, 1734, 2923, 11407, 39705, 6997, 27823, 434, 670, 43873, 39144, 12892, 3672, 6226, 289, 3672, 25472, 39081, 4699, 3416, 24385, 835, 2509, 1069, 496, 16917, 4534, 861, 29957, 2497, 5836, 22083, 18894, 282, 4599, 13606, 18394, 16, 961, 3043, 8171, 309, 322, 19984, 3302, 30872, 1640, 17374, 26335, 18, 478, 9676, 331, 8557, 289, 11656, 3271, 13606, 18394, 289, 3140, 309, 3687, 2000, 1378, 26335, 322, 29657, 10044, 9885, 33887, 22672, 17070, 16, 322, 7332, 294, 39424, 14510, 3687, 2000, 1734, 2923, 289, 4933, 19912, 12966, 6198, 7574, 2533, 910, 510, 5130, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 18, 2949, 924, 16, 27827, 24219, 411, 9536, 7117, 22306, 4486, 20553, 17070, 16, 20553, 289, 3687, 2000, 1378, 17070, 15802, 16, 309, 1639, 15904, 24092, 675, 18, 6592, 11755, 508, 552, 16, 282, 3017, 519, 430, 4189, 4018, 779, 1943, 953, 35738, 27172, 10984, 5439, 2001, 16, 7154, 10977, 17597, 2567, 15802, 18, 1787, 1660, 726, 519, 430, 3598, 2003, 29954, 281, 867, 16, 2710, 12272, 31678, 19222, 4716, 12048, 4838, 20553, 17070, 309, 4421, 36003, 309, 1129, 23408, 355, 18, 985, 10128, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 16, 4498, 3419, 290, 26335, 16, 478, 8422, 2328, 48003, 39966, 23408, 434, 10781, 289, 334, 8331, 726, 2944, 322, 8278, 1587, 3862, 17745, 432, 16554, 861, 478, 677, 22755, 11100, 11063, 8640, 3672, 4588, 672, 789, 685, 12642, 309, 870, 2923, 16, 322, 733, 265, 1164, 309, 8881, 309, 1129, 7868, 23408, 434, 10781, 16, 6177, 2388, 13228, 6984, 6229, 1742, 4004, 18, 365, 6031, 27713, 23408, 355, 322, 1698, 9193, 28981, 3281, 1728, 23408, 434, 10139, 16, 7869, 1617, 24092, 675, 282, 25150, 5460, 5296, 16, 367, 697, 3018, 309, 33930, 24092, 18975, 11534, 47103, 289, 3857, 30066, 3236, 282, 37508, 910, 510, 5130, 282, 4437, 27299, 49800, 18, 824, 4734, 11050, 8424, 334, 11840, 1147, 10268, 289, 39081, 574, 1016, 43788, 8827, 13536, 1416, 12046, 17, 789, 441, 10517, 401, 16, 9200, 478, 395, 9649, 265, 23408, 355, 470, 2944, 1202, 3514, 18, 12926, 382, 16, 309, 1639, 17634, 3142, 6535, 23408, 448, 20512, 6773, 16, 10302, 294, 3862, 1147, 5851, 272, 1472, 23658, 18, 478, 563, 2642, 4381, 309, 4866, 21059, 19078, 24092, 675, 1381, 2242, 32606, 1507, 289, 18894, 697, 567, 475, 26934, 9118, 18, 459, 16, 371, 803, 16, 2464, 319, 21089, 23408, 355, 7869, 697, 282, 6579, 289, 3762, 29619, 649, 9482, 910, 510, 2815, 11309, 478, 46088, 18, 8381, 861, 415, 6595, 13399, 23408, 355, 16, 289, 309, 4700, 17405, 26335, 3419, 4498, 16, 8055, 749, 5743, 31344, 16688, 16169, 2209, 45364, 16, 4525, 16, 9848, 1416, 2106, 17, 789, 14348, 4083, 18, 478, 732, 481, 30221, 2993, 953, 34377, 322, 309, 22952, 16, 367, 282, 11129, 18, 4320, 17395, 978, 322, 4360, 16, 515, 726, 282, 11366, 942, 840, 27405, 294, 3705, 334, 12048, 6216, 20553, 289, 3687, 2000, 1378, 17070, 910, 510, 2548, 492, 18, 1397, 5327, 14217, 2005, 34743, 6997, 309, 28889, 26335, 13606, 13597, 16, 502, 16, 334, 4734, 16, 20691, 16, 745, 2125, 11392, 282, 3989, 14254, 432, 4190, 18, 478, 29392, 1133, 32283, 329, 813, 282, 34659, 781, 18, 459, 11392, 745, 2125, 309, 11351, 16, 367, 322, 309, 37433, 582, 910, 510, 2815, 492, 18, 9584, 6087, 2975, 840, 4755, 987, 309, 26290, 5192, 441, 547, 11073, 43788, 8827, 16, 1912, 4238, 18, 824, 4734, 1416, 12046, 17, 789, 441, 10517, 401, 16, 25731, 567, 2904, 15865, 16488, 1672, 8900, 16, 45698, 5134, 8501, 282, 5329, 16, 322, 2410, 22006, 1063, 4126, 22551, 289, 4624, 4669, 835, 382, 18, 29750, 2582, 481, 6106, 289, 9541, 17, 436, 931, 320, 43788, 8827, 16, 8624, 22519, 23896, 4944, 9703, 388, 778, 1624, 11841, 1779, 20561, 8369, 289, 26119, 726, 294, 19955, 8007, 954, 6325, 18, 824, 3163, 15465, 22519, 17838, 282, 43788, 554, 482, 12097, 403, 1018, 45615, 16, 282, 4884, 2100, 14019, 783, 7006, 520, 5304, 17126, 19048, 18, 478, 682, 2621, 11291, 3860, 15597, 1512, 349, 2948, 1888, 16, 510, 2815, 403, 1018, 15226, 478, 46088, 18, 8381, 861, 651, 9027, 9649, 274, 23408, 355, 16, 4226, 697, 25150, 5540, 32889, 281, 20553, 17070, 281, 5657, 3021, 1888, 15802, 16, 481, 15068, 7631, 360, 10725, 3860, 18, 2787, 575, 3240, 5327, 289, 6997, 1073, 507, 2169, 861, 2949, 924, 16, 334, 4734, 403, 1018, 45615, 16, 1188, 7316, 979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1269, 986, 11347, 282, 5199, 478, 11825, 322, 5695, 4135, 651, 17261, 309, 6564, 861, 889, 14985, 1269, 986, 16, 515, 322, 282, 1177, 445, 18, 608, 24307, 14440, 16020, 3860, 281, 49862, 411, 17, 431, 31776, 933, 6059, 282, 19559, 282, 6104, 1045, 18, 889, 1482, 4562, 25568, 42670, 910, 510, 2548, 6548, 46038, 478, 28737, 32617, 300, 26942, 6096, 28238, 512, 18, 967, 803, 5693, 329, 24754, 2388, 575, 16, 428, 289, 329, 1764, 269, 43711, 11169, 16, 651, 23388, 4504, 289, 11417, 8898, 4504, 7234, 16, 11506, 21012, 18, 478, 563, 2318, 21478, 360, 11131, 651, 16906, 12703, 22945, 567, 808, 5743, 21012, 16, 367, 24307, 322, 3957, 21012, 16, 492, 475, 2764, 2963, 373, 20676, 309, 8156, 10600, 20141, 7234, 18, 365, 803, 8781, 587, 266, 4932, 427, 910, 510, 48922, 28238, 512, 18, 2, 1, 87, 1456, 81, 2448, 30, 9676, 823, 2497, 2891, 21038, 5848, 478, 395, 9649, 306, 470, 21622, 309, 20553, 26335, 23408, 355, 16, 367, 1038, 14217, 2888, 21261, 6997, 309, 1129, 1073, 507, 2169, 289, 3140, 18, 824, 4734, 14971, 16, 282, 1750, 13595, 8501, 8908, 17877, 20928, 13312, 9207, 32394, 18, 31224, 30, 9676, 823, 2497, 2891, 21038, 14217, 2888, 21261, 6997, 309, 20553, 289, 3687, 2000, 1378, 26335, 13606, 18394, 289, 3140, 16, 367, 1038, 6997, 13606, 18394, 309, 17374, 26335, 16, 322, 19984, 3302, 30872, 1640, 18, 15066, 22517, 26119, 282, 7891, 660, 938, 4523, 31427, 4534, 289, 9207, 1568, 478, 630, 13441, 28889, 30778, 39364, 470, 7316, 282, 43788, 554, 597, 25835, 4210, 5452, 29845, 18, 365, 10882, 19048, 685, 4755, 987, 309, 11073, 8424, 334, 11840, 1147, 10268, 289, 39081, 574, 1016, 282, 48490, 541, 28546, 9484, 18, 985, 5130, 282, 16593, 304, 11755, 47255, 4161, 547, 26517, 1061, 422, 18, 17185, 7891, 660, 938, 4523, 31427, 16, 478, 12833, 12526, 39081, 5708, 12375, 32996, 12480, 3518, 5084, 16, 3730, 31334, 309, 46441, 2923, 16, 3687, 2000, 1734, 2923, 11407, 39705, 6997, 27823, 434, 670, 43873, 39144, 12892, 3672, 6226, 289, 3672, 25472, 39081, 4699, 3416, 24385, 835, 2509, 1069, 496, 16917, 4534, 861, 29957, 2497, 5836, 22083, 18894, 282, 4599, 13606, 18394, 16, 961, 3043, 8171, 309, 322, 19984, 3302, 30872, 1640, 17374, 26335, 18, 478, 9676, 331, 8557, 289, 11656, 3271, 13606, 18394, 289, 3140, 309, 3687, 2000, 1378, 26335, 322, 29657, 10044, 9885, 33887, 22672, 17070, 16, 322, 7332, 294, 39424, 14510, 3687, 2000, 1734, 2923, 289, 4933, 19912, 12966, 6198, 7574, 2533, 910, 510, 5130, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 18, 2949, 924, 16, 27827, 24219, 411, 9536, 7117, 22306, 4486, 20553, 17070, 16, 20553, 289, 3687, 2000, 1378, 17070, 15802, 16, 309, 1639, 15904, 24092, 675, 18, 6592, 11755, 508, 552, 16, 282, 3017, 519, 430, 4189, 4018, 779, 1943, 953, 35738, 27172, 10984, 5439, 2001, 16, 7154, 10977, 17597, 2567, 15802, 18, 1787, 1660, 726, 519, 430, 3598, 2003, 29954, 281, 867, 16, 2710, 12272, 31678, 19222, 4716, 12048, 4838, 20553, 17070, 309, 4421, 36003, 309, 1129, 23408, 355, 18, 985, 10128, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 16, 4498, 3419, 290, 26335, 16, 478, 8422, 2328, 48003, 39966, 23408, 434, 10781, 289, 334, 8331, 726, 2944, 322, 8278, 1587, 3862, 17745, 432, 16554, 861, 478, 677, 22755, 11100, 11063, 8640, 3672, 4588, 672, 789, 685, 12642, 309, 870, 2923, 16, 322, 733, 265, 1164, 309, 8881, 309, 1129, 7868, 23408, 434, 10781, 16, 6177, 2388, 13228, 6984, 6229, 1742, 4004, 18, 365, 6031, 27713, 23408, 355, 322, 1698, 9193, 28981, 3281, 1728, 23408, 434, 10139, 16, 7869, 1617, 24092, 675, 282, 25150, 5460, 5296, 16, 367, 697, 3018, 309, 33930, 24092, 18975, 11534, 47103, 289, 3857, 30066, 3236, 282, 37508, 910, 510, 5130, 282, 4437, 27299, 49800, 18, 824, 4734, 11050, 8424, 334, 11840, 1147, 10268, 289, 39081, 574, 1016, 43788, 8827, 13536, 1416, 12046, 17, 789, 441, 10517, 401, 16, 9200, 478, 395, 9649, 265, 23408, 355, 470, 2944, 1202, 3514, 18, 12926, 382, 16, 309, 1639, 17634, 3142, 6535, 23408, 448, 20512, 6773, 16, 10302, 294, 3862, 1147, 5851, 272, 1472, 23658, 18, 478, 563, 2642, 4381, 309, 4866, 21059, 19078, 24092, 675, 1381, 2242, 32606, 1507, 289, 18894, 697, 567, 475, 26934, 9118, 18, 459, 16, 371, 803, 16, 2464, 319, 21089, 23408, 355, 7869, 697, 282, 6579, 289, 3762, 29619, 649, 9482, 910, 510, 2815, 11309, 478, 46088, 18, 8381, 861, 415, 6595, 13399, 23408, 355, 16, 289, 309, 4700, 17405, 26335, 3419, 4498, 16, 8055, 749, 5743, 31344, 16688, 16169, 2209, 45364, 16, 4525, 16, 9848, 1416, 2106, 17, 789, 14348, 4083, 18, 478, 732, 481, 30221, 2993, 953, 34377, 322, 309, 22952, 16, 367, 282, 11129, 18, 4320, 17395, 978, 322, 4360, 16, 515, 726, 282, 11366, 942, 840, 27405, 294, 3705, 334, 12048, 6216, 20553, 289, 3687, 2000, 1378, 17070, 910, 510, 2548, 492, 18, 1397, 5327, 14217, 2005, 34743, 6997, 309, 28889, 26335, 13606, 13597, 16, 502, 16, 334, 4734, 16, 20691, 16, 745, 2125, 11392, 282, 3989, 14254, 432, 4190, 18, 478, 29392, 1133, 32283, 329, 813, 282, 34659, 781, 18, 459, 11392, 745, 2125, 309, 11351, 16, 367, 322, 309, 37433, 582, 910, 510, 2815, 492, 18, 9584, 6087, 2975, 840, 4755, 987, 309, 26290, 5192, 441, 547, 11073, 43788, 8827, 16, 1912, 4238, 18, 824, 4734, 1416, 12046, 17, 789, 441, 10517, 401, 16, 25731, 567, 2904, 15865, 16488, 1672, 8900, 16, 45698, 5134, 8501, 282, 5329, 16, 322, 2410, 22006, 1063, 4126, 22551, 289, 4624, 4669, 835, 382, 18, 29750, 2582, 481, 6106, 289, 9541, 17, 436, 931, 320, 43788, 8827, 16, 8624, 22519, 23896, 4944, 9703, 388, 778, 1624, 11841, 1779, 20561, 8369, 289, 26119, 726, 294, 19955, 8007, 954, 6325, 18, 824, 3163, 15465, 22519, 17838, 282, 43788, 554, 482, 12097, 403, 1018, 45615, 16, 282, 4884, 2100, 14019, 783, 7006, 520, 5304, 17126, 19048, 18, 478, 682, 2621, 11291, 3860, 15597, 1512, 349, 2948, 1888, 16, 510, 2815, 403, 1018, 15226, 478, 46088, 18, 8381, 861, 651, 9027, 9649, 274, 23408, 355, 16, 4226, 697, 25150, 5540, 32889, 281, 20553, 17070, 281, 5657, 3021, 1888, 15802, 16, 481, 15068, 7631, 360, 10725, 3860, 18, 2787, 575, 3240, 5327, 289, 6997, 1073, 507, 2169, 861, 2949, 924, 16, 334, 4734, 403, 1018, 45615, 16, 1188, 7316, 979 ]
[ 6325, 282, 9207, 12760, 2003, 639, 396, 8807, 505, 281, 10628, 12230, 3862, 45331, 1237, 16, 753, 971, 322, 639, 2031, 5122, 18, 7743, 282, 970, 16, 374, 1978, 1545, 19048, 29657, 10337, 1147, 3862, 262, 34867, 1147, 31498, 18, 459, 3229, 16, 828, 505, 7099, 16, 3014, 6863, 282, 39309, 281, 15774, 323, 381, 32694, 30490, 15046, 5738, 18, 5857, 489, 382, 22104, 16, 3219, 38421, 322, 4550, 27953, 19385, 454, 20553, 473, 426, 1015, 16, 449, 2466, 690, 375, 13, 289, 3687, 2000, 7707, 17070, 473, 3533, 523, 289, 6635, 3406, 2700, 7267, 1833, 1293, 25215, 14749, 16, 6881, 289, 4901, 15298, 14697, 17, 4194, 1340, 18, 824, 33260, 12130, 14630, 10539, 5054, 6198, 8577, 20076, 318, 15644, 1161, 16, 2700, 17034, 3933, 19733, 31427, 2407, 473, 285, 18, 17911, 478, 10245, 566, 7800, 22587, 12153, 289, 325, 2603, 3271, 17070, 910, 19779, 478, 31770, 326, 7117, 22306, 4486, 20553, 17070, 12235, 727, 1295, 478, 6115, 20926, 13258, 10026, 470, 473, 285, 18, 15882, 18, 478, 780, 1952, 10107, 20553, 7868, 910, 422, 18, 19670, 18, 478, 11162, 1161, 3672, 10107, 20553, 7868, 910, 422, 18, 21786, 18, 478, 630, 1707, 324, 30807, 11131, 15040, 289, 31952, 36135, 12235, 727, 1295, 478, 6115, 7117, 22306, 4486, 20553, 26335, 470, 473, 285, 18, 4055, 18, 478, 8706, 2033, 13836, 10107, 17070, 26416, 8577, 11523, 478, 34134, 6301, 10337, 539, 24324, 43925, 3596, 6731, 5998, 16, 1413, 47932, 48435, 16186, 309, 36648, 2923, 18, 459, 5327, 481, 16, 282, 4698, 3678, 16, 39705, 6997, 16, 510, 5273, 15644, 401, 18, 651, 28458, 27823, 434, 670, 43873, 39144, 12892, 2628, 687, 309, 24258, 8389, 10781, 281, 726, 5891, 13698, 7800, 315, 17, 1599, 4697, 3361, 353, 651, 453, 22168, 16743, 4546, 1608, 4841, 44084, 13499, 16, 20343, 28366, 309, 41827, 950, 46441, 670, 3687, 2000, 14115, 2923, 861, 1397, 519, 290, 877, 5946, 1046, 1212, 293, 8590, 5355, 18578, 48003, 24092, 18975, 15802, 411, 14510, 4588, 672, 789, 16, 502, 282, 1978, 1734, 12380, 1542, 9427, 16, 334, 4734, 15644, 1161, 16, 2879, 953, 3118, 3947, 798, 411, 35216, 18, 473, 730, 4920, 466, 371, 23629, 13770, 14510, 4588, 672, 789, 294, 3862, 1147, 5851, 272, 1830, 373, 12215, 2853, 2393, 16, 12806, 5643, 16743, 814, 824, 722, 4734, 16, 371, 16992, 6356, 10785, 23408, 355, 309, 4588, 672, 789, 2125, 3744, 5559, 2388, 21391, 16, 428, 1568, 622, 697, 15429, 16, 8881, 5891, 4436, 7800, 315, 17, 1599, 1385, 7080, 16, 48530, 23408, 355, 334, 13078, 4588, 672, 789, 670, 3960, 4588, 672, 789, 16, 10392, 3384, 39118, 48003, 24092, 18975, 29210, 15802, 473, 833, 262, 34867, 448, 10580, 289, 26486, 448, 42080, 19445, 16, 358, 2105, 265, 41630, 31371, 16743, 16, 34028, 294, 1756, 348, 1004, 12944, 7868, 18630, 289, 44436, 2422, 16, 20215, 19718, 282, 40823, 6931, 4534, 934, 367, 1038, 10392, 2403, 6377, 16, 4284, 274, 5367, 24092, 18975, 3862, 536, 5851, 395, 18, 478, 17561, 1703, 17818, 21523, 2039, 748, 293, 783, 10287, 416, 35750, 9461, 3591, 6517, 413, 6036, 44381, 289, 8496, 3416, 16, 510, 12016, 12189, 18, 651, 2876, 16, 25731, 5734, 1568, 16, 2003, 41570, 289, 20680, 9025, 16, 282, 4700, 6160, 24755, 24219, 411, 14510, 4588, 672, 789, 29210, 15802, 16, 48003, 39966, 478, 486, 894, 434, 10781, 910, 289, 282, 4700, 9643, 289, 281, 11256, 10392, 6390, 13756, 353, 745, 1698, 953, 27603, 861, 459, 282, 6449, 1750, 16, 478, 36885, 454, 2900, 6325, 2125, 19302, 322, 6636, 1250, 289, 39081, 1947, 16, 367, 8876, 334, 20926, 8577, 289, 13258, 10026, 910, 6877, 798, 12189, 18, 478, 13571, 4479, 779, 5343, 334, 1360, 3862, 262, 34867, 416, 12384, 25941, 6406, 2496, 17310, 3187, 321, 16, 510, 2548, 15644, 401, 18, 651, 889, 289, 44130, 10392, 2160, 34465, 507, 2001, 651, 505, 29479, 10139, 16, 17685, 5324, 4588, 672, 789, 16, 10958, 13845, 4556, 4534, 428, 19683, 6325, 5439, 4534, 18, 2046, 16, 281, 39067, 4090, 12457, 19186, 31702, 282, 803, 4599, 906, 7304, 331, 12720, 567, 6477, 21064, 1840, 342, 16, 374, 31167, 289, 4722, 7316, 1545, 11043, 620, 19048, 861, 2, 1, 87, 1456, 81, 2448, 30, 630, 24236, 416, 16, 12690, 1082, 16, 11850, 278, 406, 2522, 620, 289, 8517, 37925, 2409, 13856, 709, 478, 1697, 29835, 1135, 470, 625, 377, 16, 13479, 29323, 17, 1123, 564, 28278, 898, 27601, 282, 4579, 10375, 18, 41360, 44983, 13005, 4360, 4897, 1143, 290, 4400, 750, 1512, 924, 1612, 18, 2949, 924, 16, 24737, 4660, 2625, 30532, 1291, 6615, 399, 435, 344, 33698, 625, 377, 289, 1888, 14135, 1512, 16, 13479, 28278, 26381, 519, 3338, 2868, 18, 31224, 30, 677, 10507, 1045, 36543, 34319, 7280, 12185, 30526, 282, 625, 321, 7450, 933, 4579, 10375, 282, 40461, 707, 309, 13179, 816, 4003, 4995, 309, 28278, 1631, 16, 2024, 4686, 7650, 349, 1728, 38131, 18062, 7276, 877, 18, 740, 282, 1948, 1484, 2001, 1540, 267, 296, 1554, 3225, 8659, 16, 374, 3555, 1631, 20468, 10262, 282, 17219, 282, 277, 2265, 3250, 282, 6269, 1293, 2634, 986, 18, 9418, 281, 11261, 898, 23076, 13383, 9233, 289, 5502, 14464, 16, 6133, 478, 1697, 29835, 1135, 470, 23251, 371, 1354, 18, 608, 3975, 337, 14960, 282, 25796, 3499, 625, 377, 3621, 360, 11074, 30027, 625, 321, 7450, 16, 11181, 360, 1754, 906, 45058, 1276, 343, 18, 1367, 46275, 468, 27210, 1449, 27730, 11091, 435, 2904, 16967, 27591, 334, 4547, 8290, 18, 31404, 16, 374, 625, 377, 3942, 282, 11114, 3324, 443, 8914, 646, 6206, 519, 284, 18, 599, 18, 2112, 3422, 3555, 3716, 1833, 3884, 271, 6269, 16, 1029, 14640, 364, 4126, 445, 14580, 39961, 21303, 18, 26959, 18700, 16, 374, 371, 1354, 625, 377, 685, 18183, 17289, 2261, 25, 699, 16, 367, 2205, 364, 2364, 3610, 8715, 18, 817, 24434, 7640, 443, 9348, 986, 16, 374, 541, 1962, 434, 3931, 639, 3215, 36254, 536, 33069, 18, 30284, 15033, 19344, 9025, 16, 828, 13856, 709, 625, 377, 29745, 519, 3422, 18, 24140, 16, 20881, 23007, 26175, 15832, 718, 5500, 1302, 1019, 946, 282, 9893, 16, 898, 31323, 282, 15959, 36396, 8598, 44116, 9619, 18, 478, 30348, 841, 7473, 22070, 5851, 451, 3149, 16, 18697, 1815, 35068, 4143, 289, 44754, 448, 11461, 16, 656, 30532, 3616, 13180, 24656, 18289, 625, 377, 910, 510, 26372, 7110, 34365, 4809, 3646, 1458, 16, 21576, 5184, 1810, 18, 12205, 446 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6325, 282, 9207, 12760, 2003, 639, 396, 8807, 505, 281, 10628, 12230, 3862, 45331, 1237, 16, 753, 971, 322, 639, 2031, 5122, 18, 7743, 282, 970, 16, 374, 1978, 1545, 19048, 29657, 10337, 1147, 3862, 262, 34867, 1147, 31498, 18, 459, 3229, 16, 828, 505, 7099, 16, 3014, 6863, 282, 39309, 281, 15774, 323, 381, 32694, 30490, 15046, 5738, 18, 5857, 489, 382, 22104, 16, 3219, 38421, 322, 4550, 27953, 19385, 454, 20553, 473, 426, 1015, 16, 449, 2466, 690, 375, 13, 289, 3687, 2000, 7707, 17070, 473, 3533, 523, 289, 6635, 3406, 2700, 7267, 1833, 1293, 25215, 14749, 16, 6881, 289, 4901, 15298, 14697, 17, 4194, 1340, 18, 824, 33260, 12130, 14630, 10539, 5054, 6198, 8577, 20076, 318, 15644, 1161, 16, 2700, 17034, 3933, 19733, 31427, 2407, 473, 285, 18, 17911, 478, 10245, 566, 7800, 22587, 12153, 289, 325, 2603, 3271, 17070, 910, 19779, 478, 31770, 326, 7117, 22306, 4486, 20553, 17070, 12235, 727, 1295, 478, 6115, 20926, 13258, 10026, 470, 473, 285, 18, 15882, 18, 478, 780, 1952, 10107, 20553, 7868, 910, 422, 18, 19670, 18, 478, 11162, 1161, 3672, 10107, 20553, 7868, 910, 422, 18, 21786, 18, 478, 630, 1707, 324, 30807, 11131, 15040, 289, 31952, 36135, 12235, 727, 1295, 478, 6115, 7117, 22306, 4486, 20553, 26335, 470, 473, 285, 18, 4055, 18, 478, 8706, 2033, 13836, 10107, 17070, 26416, 8577, 11523, 478, 34134, 6301, 10337, 539, 24324, 43925, 3596, 6731, 5998, 16, 1413, 47932, 48435, 16186, 309, 36648, 2923, 18, 459, 5327, 481, 16, 282, 4698, 3678, 16, 39705, 6997, 16, 510, 5273, 15644, 401, 18, 651, 28458, 27823, 434, 670, 43873, 39144, 12892, 2628, 687, 309, 24258, 8389, 10781, 281, 726, 5891, 13698, 7800, 315, 17, 1599, 4697, 3361, 353, 651, 453, 22168, 16743, 4546, 1608, 4841, 44084, 13499, 16, 20343, 28366, 309, 41827, 950, 46441, 670, 3687, 2000, 14115, 2923, 861, 1397, 519, 290, 877, 5946, 1046, 1212, 293, 8590, 5355, 18578, 48003, 24092, 18975, 15802, 411, 14510, 4588, 672, 789, 16, 502, 282, 1978, 1734, 12380, 1542, 9427, 16, 334, 4734, 15644, 1161, 16, 2879, 953, 3118, 3947, 798, 411, 35216, 18, 473, 730, 4920, 466, 371, 23629, 13770, 14510, 4588, 672, 789, 294, 3862, 1147, 5851, 272, 1830, 373, 12215, 2853, 2393, 16, 12806, 5643, 16743, 814, 824, 722, 4734, 16, 371, 16992, 6356, 10785, 23408, 355, 309, 4588, 672, 789, 2125, 3744, 5559, 2388, 21391, 16, 428, 1568, 622, 697, 15429, 16, 8881, 5891, 4436, 7800, 315, 17, 1599, 1385, 7080, 16, 48530, 23408, 355, 334, 13078, 4588, 672, 789, 670, 3960, 4588, 672, 789, 16, 10392, 3384, 39118, 48003, 24092, 18975, 29210, 15802, 473, 833, 262, 34867, 448, 10580, 289, 26486, 448, 42080, 19445, 16, 358, 2105, 265, 41630, 31371, 16743, 16, 34028, 294, 1756, 348, 1004, 12944, 7868, 18630, 289, 44436, 2422, 16, 20215, 19718, 282, 40823, 6931, 4534, 934, 367, 1038, 10392, 2403, 6377, 16, 4284, 274, 5367, 24092, 18975, 3862, 536, 5851, 395, 18, 478, 17561, 1703, 17818, 21523, 2039, 748, 293, 783, 10287, 416, 35750, 9461, 3591, 6517, 413, 6036, 44381, 289, 8496, 3416, 16, 510, 12016, 12189, 18, 651, 2876, 16, 25731, 5734, 1568, 16, 2003, 41570, 289, 20680, 9025, 16, 282, 4700, 6160, 24755, 24219, 411, 14510, 4588, 672, 789, 29210, 15802, 16, 48003, 39966, 478, 486, 894, 434, 10781, 910, 289, 282, 4700, 9643, 289, 281, 11256, 10392, 6390, 13756, 353, 745, 1698, 953, 27603, 861, 459, 282, 6449, 1750, 16, 478, 36885, 454, 2900, 6325, 2125, 19302, 322, 6636, 1250, 289, 39081, 1947, 16, 367, 8876, 334, 20926, 8577, 289, 13258, 10026, 910, 6877, 798, 12189, 18, 478, 13571, 4479, 779, 5343, 334, 1360, 3862, 262, 34867, 416, 12384, 25941, 6406, 2496, 17310, 3187, 321, 16, 510, 2548, 15644, 401, 18, 651, 889, 289, 44130, 10392, 2160, 34465, 507, 2001, 651, 505, 29479, 10139, 16, 17685, 5324, 4588, 672, 789, 16, 10958, 13845, 4556, 4534, 428, 19683, 6325, 5439, 4534, 18, 2046, 16, 281, 39067, 4090, 12457, 19186, 31702, 282, 803, 4599, 906, 7304, 331, 12720, 567, 6477, 21064, 1840, 342, 16, 374, 31167, 289, 4722, 7316, 1545, 11043, 620, 19048, 861, 2, 1, 87, 1456, 81, 2448, 30, 630, 24236, 416, 16, 12690, 1082, 16, 11850, 278, 406, 2522, 620, 289, 8517, 37925, 2409, 13856, 709, 478, 1697, 29835, 1135, 470, 625, 377, 16, 13479, 29323, 17, 1123, 564, 28278, 898, 27601, 282, 4579, 10375, 18, 41360, 44983, 13005, 4360, 4897, 1143, 290, 4400, 750, 1512, 924, 1612, 18, 2949, 924, 16, 24737, 4660, 2625, 30532, 1291, 6615, 399, 435, 344, 33698, 625, 377, 289, 1888, 14135, 1512, 16, 13479, 28278, 26381, 519, 3338, 2868, 18, 31224, 30, 677, 10507, 1045, 36543, 34319, 7280, 12185, 30526, 282, 625, 321, 7450, 933, 4579, 10375, 282, 40461, 707, 309, 13179, 816, 4003, 4995, 309, 28278, 1631, 16, 2024, 4686, 7650, 349, 1728, 38131, 18062, 7276, 877, 18, 740, 282, 1948, 1484, 2001, 1540, 267, 296, 1554, 3225, 8659, 16, 374, 3555, 1631, 20468, 10262, 282, 17219, 282, 277, 2265, 3250, 282, 6269, 1293, 2634, 986, 18, 9418, 281, 11261, 898, 23076, 13383, 9233, 289, 5502, 14464, 16, 6133, 478, 1697, 29835, 1135, 470, 23251, 371, 1354, 18, 608, 3975, 337, 14960, 282, 25796, 3499, 625, 377, 3621, 360, 11074, 30027, 625, 321, 7450, 16, 11181, 360, 1754, 906, 45058, 1276, 343, 18, 1367, 46275, 468, 27210, 1449, 27730, 11091, 435, 2904, 16967, 27591, 334, 4547, 8290, 18, 31404, 16, 374, 625, 377, 3942, 282, 11114, 3324, 443, 8914, 646, 6206, 519, 284, 18, 599, 18, 2112, 3422, 3555, 3716, 1833, 3884, 271, 6269, 16, 1029, 14640, 364, 4126, 445, 14580, 39961, 21303, 18, 26959, 18700, 16, 374, 371, 1354, 625, 377, 685, 18183, 17289, 2261, 25, 699, 16, 367, 2205, 364, 2364, 3610, 8715, 18, 817, 24434, 7640, 443, 9348, 986, 16, 374, 541, 1962, 434, 3931, 639, 3215, 36254, 536, 33069, 18, 30284, 15033, 19344, 9025, 16, 828, 13856, 709, 625, 377, 29745, 519, 3422, 18, 24140, 16, 20881, 23007, 26175, 15832, 718, 5500, 1302, 1019, 946, 282, 9893, 16, 898, 31323, 282, 15959, 36396, 8598, 44116, 9619, 18, 478, 30348, 841, 7473, 22070, 5851, 451, 3149, 16, 18697, 1815, 35068, 4143, 289, 44754, 448, 11461, 16, 656, 30532, 3616, 13180, 24656, 18289, 625, 377, 910, 510, 26372, 7110, 34365, 4809, 3646, 1458, 16, 21576, 5184, 1810, 18, 12205, 446 ]
[ 368, 625, 377, 685, 32380, 1472, 5548, 510, 492, 26728, 48530, 282, 7433, 1449, 353, 7167, 18, 2320, 3225, 8659, 371, 16685, 298, 32358, 16, 20474, 371, 31433, 970, 5006, 289, 4161, 547, 697, 30680, 18, 478, 38877, 446, 368, 16, 282, 6588, 360, 4419, 23194, 5856, 28588, 34695, 42317, 33698, 16, 29429, 1904, 43529, 16, 367, 1038, 2400, 1646, 5907, 3400, 39760, 18886, 271, 16, 2567, 428, 2522, 394, 16, 961, 16337, 3531, 3775, 541, 3338, 9487, 910, 510, 2548, 4809, 3646, 1458, 18, 365, 328, 2736, 28422, 16, 24737, 18700, 510, 37304, 625, 377, 906, 10660, 32947, 8087, 16, 1830, 289, 2400, 4583, 2410, 1269, 45045, 18, 4149, 3225, 8659, 9337, 282, 10332, 45045, 16, 45068, 289, 25524, 291, 16, 367, 1038, 17665, 23422, 7018, 289, 12450, 18, 8033, 16, 1188, 14289, 625, 377, 28214, 8610, 11850, 278, 406, 2522, 620, 16, 290, 24236, 416, 16, 12690, 1082, 289, 38097, 18934, 38120, 8517, 37925, 837, 18, 38594, 25766, 282, 12034, 263, 16, 17111, 411, 8508, 14142, 12907, 16, 22356, 519, 3610, 9, 371, 8525, 4486, 1800, 1533, 5999, 478, 15609, 37304, 906, 1904, 32947, 8087, 282, 9347, 25524, 291, 289, 45068, 18, 740, 12732, 16, 428, 1269, 25766, 492, 2834, 5077, 18, 20012, 17936, 16, 309, 1754, 26251, 3287, 625, 377, 16, 975, 1513, 639, 1269, 6846, 16, 510, 10050, 4809, 3646, 1458, 18, 510, 459, 12916, 9945, 3604, 722, 639, 27528, 25766, 861, 478, 5786, 3008, 354, 289, 2870, 9478, 856, 5808, 309, 44512, 4349, 1631, 289, 13731, 360, 924, 6687, 5434, 10204, 8393, 16, 2486, 322, 17650, 294, 6751, 825, 48266, 289, 24101, 6846, 16, 510, 24344, 34781, 755, 5981, 34067, 1312, 10379, 18, 510, 625, 377, 16, 5175, 16, 1904, 20558, 364, 16, 374, 11830, 510, 34767, 7897, 6846, 861, 33627, 262, 322, 2400, 10262, 20157, 14304, 309, 11041, 16, 2650, 639, 2988, 1141, 897, 1569, 16, 2988, 23002, 1569, 35231, 18, 7132, 625, 377, 37284, 8517, 37925, 742, 16, 13860, 18, 5454, 16, 282, 3106, 17143, 510, 8517, 37925, 742, 289, 334, 7256, 1119, 8425, 16, 3057, 16, 282, 28593, 27613, 27701, 18, 365, 18741, 34768, 625, 377, 4419, 898, 23076, 22836, 5782, 16, 322, 20846, 16, 374, 453, 492, 2963, 360, 1129, 11033, 18, 3428, 349, 8654, 937, 282, 1047, 16283, 16, 367, 18934, 26339, 16399, 38394, 334, 35633, 18, 3791, 773, 3225, 3089, 289, 11232, 40057, 16, 3523, 42012, 282, 48251, 625, 377, 309, 2083, 3422, 18, 49865, 23566, 282, 10130, 12676, 30532, 26190, 4531, 26921, 3372, 14135, 1512, 309, 5137, 1810, 281, 625, 377, 289, 4778, 1449, 353, 4646, 18805, 4941, 1082, 18, 415, 3769, 409, 12907, 24737, 5370, 322, 6696, 18, 478, 563, 1163, 315, 6348, 16, 35712, 309, 5852, 11850, 509, 11830, 18, 629, 1242, 322, 1574, 43218, 16, 428, 502, 16, 374, 656, 3100, 406, 1800, 910, 510, 2548, 4809, 3646, 1458, 18, 378, 26681, 856, 862, 309, 4349, 9593, 625, 377, 18, 3747, 5907, 3400, 25766, 37076, 576, 975, 6846, 16, 2650, 575, 4300, 505, 1371, 18564, 510, 11775, 6371, 11232, 11213, 350, 382, 25465, 295, 18, 2667, 32172, 45883, 16, 9705, 16, 625, 377, 322, 12226, 364, 510, 505, 13398, 18, 3747, 12816, 30751, 16, 374, 625, 377, 1139, 24090, 282, 17219, 16, 4655, 282, 4082, 1449, 27730, 41750, 309, 16154, 381, 25152, 360, 1660, 17, 299, 18, 49285, 387, 31505, 16, 374, 329, 625, 377, 898, 34255, 318, 28696, 289, 2283, 16, 7519, 1007, 17955, 6265, 289, 35924, 5373, 16, 24228, 2265, 286, 12855, 309, 27901, 16, 367, 3555, 25538, 12948, 351, 2535, 289, 9209, 11569, 18, 2949, 924, 16, 282, 8439, 1045, 282, 505, 22981, 685, 32380, 34970, 6265, 25772, 18, 49277, 968, 1223, 16, 625, 377, 3994, 282, 3198, 46634, 36322, 18, 26959, 4419, 6371, 11232, 4829, 6566, 1135, 30, 5913, 13569, 45058, 309, 1128, 30716, 477, 3122, 6425, 16, 764, 2197, 510, 5913, 2887, 625, 377, 16, 367, 5913, 26123, 1631, 510, 309, 36192, 582, 2406, 281, 11261, 18, 49865, 36653, 567, 45627, 16, 374, 625, 377, 4176, 300, 47035, 20066, 289, 1721, 505, 309, 22981, 18, 2, 1, 87, 1456, 81, 2448, 30, 4649, 822, 2665, 16328, 19427, 282, 2630, 281, 4774, 9125, 11007, 17234, 12984, 27402, 30012, 18, 365, 9907, 11413, 13462, 16, 374, 5037, 2407, 8641, 1943, 685, 2574, 1086, 1595, 10980, 281, 48837, 16, 282, 21514, 1750, 505, 46718, 309, 21128, 1623, 478, 29727, 20560, 25195, 49135, 871, 2665, 861, 23656, 21569, 1745, 309, 870, 10744, 322, 17273, 4110, 18, 31224, 30, 31971, 1318, 662, 7796, 1552, 2665, 31134, 17273, 18964, 309, 10980, 7179, 4830, 9001, 6732, 367, 282, 8773, 18, 1367, 803, 13120, 309, 3614, 14769, 32975, 346, 11413, 18, 478, 11896, 2665, 34160, 19427, 282, 2630, 281, 44178, 42800, 1015, 6279, 281, 23245, 36488, 1032, 4160, 11826, 779, 4830, 1175, 365, 18, 9620, 309, 15027, 19646, 15920, 4433, 3197, 2206, 9482, 2665, 510, 2871, 16678, 668, 9951, 454, 8773, 289, 34537, 910, 510, 5130, 282, 9907, 18, 365, 11379, 1038, 12002, 16, 374, 6881, 1177, 10980, 289, 9874, 2393, 13565, 5781, 14886, 282, 8773, 289, 34537, 478, 29727, 20560, 25195, 7904, 49135, 871, 289, 45421, 36803, 2665, 861, 4137, 6732, 12985, 282, 8773, 1032, 4160, 16, 753, 16012, 14108, 17914, 478, 630, 2314, 282, 20158, 267, 913, 409, 861, 365, 6104, 1045, 5037, 4000, 1038, 41967, 481, 18694, 1974, 281, 7638, 17, 41854, 48116, 9441, 13432, 18, 10110, 22026, 7067, 5781, 36283, 14153, 42982, 307, 6235, 1624, 48131, 8348, 11896, 2665, 16, 9299, 16, 374, 4770, 6732, 9665, 282, 9805, 5549, 16, 367, 10744, 14769, 32975, 346, 11413, 11864, 281, 20358, 14512, 23796, 2904, 2954, 360, 3960, 12920, 408, 1791, 18, 478, 5801, 575, 5327, 13062, 18568, 2994, 40000, 2665, 10403, 65, 9344, 289, 505, 27517, 16, 502, 481, 469, 17733, 448, 6484, 18, 43890, 1329, 411, 965, 6348, 322, 895, 16, 2391, 773, 1381, 48516, 38307, 7811, 349, 478, 40034, 4314, 41799, 2665, 910, 349, 15696, 28724, 24242, 432, 17070, 334, 2059, 8777, 8386, 510, 9792, 3960, 4000, 1003, 16, 11340, 783, 445, 2670, 305, 13012, 16, 7933, 3793, 11031, 322, 29839, 20163, 309, 8955, 9344, 18, 22771, 16, 6040, 15987, 14637, 18, 510, 1109, 42982, 307, 6235, 282, 17130, 6122, 1171, 35442, 18, 816, 4160, 4137, 6732, 14900, 1568, 16, 7154, 10977, 667, 4238, 25740, 13595, 11007, 16, 46416, 307, 289, 6590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 368, 625, 377, 685, 32380, 1472, 5548, 510, 492, 26728, 48530, 282, 7433, 1449, 353, 7167, 18, 2320, 3225, 8659, 371, 16685, 298, 32358, 16, 20474, 371, 31433, 970, 5006, 289, 4161, 547, 697, 30680, 18, 478, 38877, 446, 368, 16, 282, 6588, 360, 4419, 23194, 5856, 28588, 34695, 42317, 33698, 16, 29429, 1904, 43529, 16, 367, 1038, 2400, 1646, 5907, 3400, 39760, 18886, 271, 16, 2567, 428, 2522, 394, 16, 961, 16337, 3531, 3775, 541, 3338, 9487, 910, 510, 2548, 4809, 3646, 1458, 18, 365, 328, 2736, 28422, 16, 24737, 18700, 510, 37304, 625, 377, 906, 10660, 32947, 8087, 16, 1830, 289, 2400, 4583, 2410, 1269, 45045, 18, 4149, 3225, 8659, 9337, 282, 10332, 45045, 16, 45068, 289, 25524, 291, 16, 367, 1038, 17665, 23422, 7018, 289, 12450, 18, 8033, 16, 1188, 14289, 625, 377, 28214, 8610, 11850, 278, 406, 2522, 620, 16, 290, 24236, 416, 16, 12690, 1082, 289, 38097, 18934, 38120, 8517, 37925, 837, 18, 38594, 25766, 282, 12034, 263, 16, 17111, 411, 8508, 14142, 12907, 16, 22356, 519, 3610, 9, 371, 8525, 4486, 1800, 1533, 5999, 478, 15609, 37304, 906, 1904, 32947, 8087, 282, 9347, 25524, 291, 289, 45068, 18, 740, 12732, 16, 428, 1269, 25766, 492, 2834, 5077, 18, 20012, 17936, 16, 309, 1754, 26251, 3287, 625, 377, 16, 975, 1513, 639, 1269, 6846, 16, 510, 10050, 4809, 3646, 1458, 18, 510, 459, 12916, 9945, 3604, 722, 639, 27528, 25766, 861, 478, 5786, 3008, 354, 289, 2870, 9478, 856, 5808, 309, 44512, 4349, 1631, 289, 13731, 360, 924, 6687, 5434, 10204, 8393, 16, 2486, 322, 17650, 294, 6751, 825, 48266, 289, 24101, 6846, 16, 510, 24344, 34781, 755, 5981, 34067, 1312, 10379, 18, 510, 625, 377, 16, 5175, 16, 1904, 20558, 364, 16, 374, 11830, 510, 34767, 7897, 6846, 861, 33627, 262, 322, 2400, 10262, 20157, 14304, 309, 11041, 16, 2650, 639, 2988, 1141, 897, 1569, 16, 2988, 23002, 1569, 35231, 18, 7132, 625, 377, 37284, 8517, 37925, 742, 16, 13860, 18, 5454, 16, 282, 3106, 17143, 510, 8517, 37925, 742, 289, 334, 7256, 1119, 8425, 16, 3057, 16, 282, 28593, 27613, 27701, 18, 365, 18741, 34768, 625, 377, 4419, 898, 23076, 22836, 5782, 16, 322, 20846, 16, 374, 453, 492, 2963, 360, 1129, 11033, 18, 3428, 349, 8654, 937, 282, 1047, 16283, 16, 367, 18934, 26339, 16399, 38394, 334, 35633, 18, 3791, 773, 3225, 3089, 289, 11232, 40057, 16, 3523, 42012, 282, 48251, 625, 377, 309, 2083, 3422, 18, 49865, 23566, 282, 10130, 12676, 30532, 26190, 4531, 26921, 3372, 14135, 1512, 309, 5137, 1810, 281, 625, 377, 289, 4778, 1449, 353, 4646, 18805, 4941, 1082, 18, 415, 3769, 409, 12907, 24737, 5370, 322, 6696, 18, 478, 563, 1163, 315, 6348, 16, 35712, 309, 5852, 11850, 509, 11830, 18, 629, 1242, 322, 1574, 43218, 16, 428, 502, 16, 374, 656, 3100, 406, 1800, 910, 510, 2548, 4809, 3646, 1458, 18, 378, 26681, 856, 862, 309, 4349, 9593, 625, 377, 18, 3747, 5907, 3400, 25766, 37076, 576, 975, 6846, 16, 2650, 575, 4300, 505, 1371, 18564, 510, 11775, 6371, 11232, 11213, 350, 382, 25465, 295, 18, 2667, 32172, 45883, 16, 9705, 16, 625, 377, 322, 12226, 364, 510, 505, 13398, 18, 3747, 12816, 30751, 16, 374, 625, 377, 1139, 24090, 282, 17219, 16, 4655, 282, 4082, 1449, 27730, 41750, 309, 16154, 381, 25152, 360, 1660, 17, 299, 18, 49285, 387, 31505, 16, 374, 329, 625, 377, 898, 34255, 318, 28696, 289, 2283, 16, 7519, 1007, 17955, 6265, 289, 35924, 5373, 16, 24228, 2265, 286, 12855, 309, 27901, 16, 367, 3555, 25538, 12948, 351, 2535, 289, 9209, 11569, 18, 2949, 924, 16, 282, 8439, 1045, 282, 505, 22981, 685, 32380, 34970, 6265, 25772, 18, 49277, 968, 1223, 16, 625, 377, 3994, 282, 3198, 46634, 36322, 18, 26959, 4419, 6371, 11232, 4829, 6566, 1135, 30, 5913, 13569, 45058, 309, 1128, 30716, 477, 3122, 6425, 16, 764, 2197, 510, 5913, 2887, 625, 377, 16, 367, 5913, 26123, 1631, 510, 309, 36192, 582, 2406, 281, 11261, 18, 49865, 36653, 567, 45627, 16, 374, 625, 377, 4176, 300, 47035, 20066, 289, 1721, 505, 309, 22981, 18, 2, 1, 87, 1456, 81, 2448, 30, 4649, 822, 2665, 16328, 19427, 282, 2630, 281, 4774, 9125, 11007, 17234, 12984, 27402, 30012, 18, 365, 9907, 11413, 13462, 16, 374, 5037, 2407, 8641, 1943, 685, 2574, 1086, 1595, 10980, 281, 48837, 16, 282, 21514, 1750, 505, 46718, 309, 21128, 1623, 478, 29727, 20560, 25195, 49135, 871, 2665, 861, 23656, 21569, 1745, 309, 870, 10744, 322, 17273, 4110, 18, 31224, 30, 31971, 1318, 662, 7796, 1552, 2665, 31134, 17273, 18964, 309, 10980, 7179, 4830, 9001, 6732, 367, 282, 8773, 18, 1367, 803, 13120, 309, 3614, 14769, 32975, 346, 11413, 18, 478, 11896, 2665, 34160, 19427, 282, 2630, 281, 44178, 42800, 1015, 6279, 281, 23245, 36488, 1032, 4160, 11826, 779, 4830, 1175, 365, 18, 9620, 309, 15027, 19646, 15920, 4433, 3197, 2206, 9482, 2665, 510, 2871, 16678, 668, 9951, 454, 8773, 289, 34537, 910, 510, 5130, 282, 9907, 18, 365, 11379, 1038, 12002, 16, 374, 6881, 1177, 10980, 289, 9874, 2393, 13565, 5781, 14886, 282, 8773, 289, 34537, 478, 29727, 20560, 25195, 7904, 49135, 871, 289, 45421, 36803, 2665, 861, 4137, 6732, 12985, 282, 8773, 1032, 4160, 16, 753, 16012, 14108, 17914, 478, 630, 2314, 282, 20158, 267, 913, 409, 861, 365, 6104, 1045, 5037, 4000, 1038, 41967, 481, 18694, 1974, 281, 7638, 17, 41854, 48116, 9441, 13432, 18, 10110, 22026, 7067, 5781, 36283, 14153, 42982, 307, 6235, 1624, 48131, 8348, 11896, 2665, 16, 9299, 16, 374, 4770, 6732, 9665, 282, 9805, 5549, 16, 367, 10744, 14769, 32975, 346, 11413, 11864, 281, 20358, 14512, 23796, 2904, 2954, 360, 3960, 12920, 408, 1791, 18, 478, 5801, 575, 5327, 13062, 18568, 2994, 40000, 2665, 10403, 65, 9344, 289, 505, 27517, 16, 502, 481, 469, 17733, 448, 6484, 18, 43890, 1329, 411, 965, 6348, 322, 895, 16, 2391, 773, 1381, 48516, 38307, 7811, 349, 478, 40034, 4314, 41799, 2665, 910, 349, 15696, 28724, 24242, 432, 17070, 334, 2059, 8777, 8386, 510, 9792, 3960, 4000, 1003, 16, 11340, 783, 445, 2670, 305, 13012, 16, 7933, 3793, 11031, 322, 29839, 20163, 309, 8955, 9344, 18, 22771, 16, 6040, 15987, 14637, 18, 510, 1109, 42982, 307, 6235, 282, 17130, 6122, 1171, 35442, 18, 816, 4160, 4137, 6732, 14900, 1568, 16, 7154, 10977, 667, 4238, 25740, 13595, 11007, 16, 46416, 307, 289, 6590 ]
[ 9977, 282, 2452, 4433, 9355, 282, 2123, 17819, 1045, 18, 15066, 22517, 8501, 685, 18913, 309, 17292, 4772, 17, 11800, 962, 27172, 3352, 18, 9584, 6087, 2975, 685, 7316, 286, 282, 31375, 31657, 11919, 19157, 6897, 4551, 567, 7410, 477, 32183, 4309, 12381, 416, 43503, 289, 2406, 11630, 16934, 1624, 48570, 360, 11007, 289, 32880, 18, 6592, 14371, 16, 24385, 7969, 5943, 549, 17978, 1175, 30, 667, 4238, 510, 8078, 13595, 11007, 16, 46416, 307, 289, 6590, 9977, 282, 2452, 4433, 9355, 473, 3420, 17819, 1205, 814, 365, 4437, 27299, 49800, 5130, 16, 374, 282, 722, 49213, 7961, 1007, 11429, 448, 32700, 485, 4905, 16, 44605, 19417, 667, 473, 28, 13, 4238, 2123, 17819, 779, 21586, 1159, 6670, 392, 5152, 30028, 26911, 1510, 11193, 48908, 478, 262, 33474, 8773, 718, 25088, 16, 7754, 3026, 2334, 289, 40100, 6590, 13496, 1963, 424, 4985, 2594, 3266, 2127, 861, 33671, 5738, 1038, 45922, 16, 374, 8773, 778, 38272, 2261, 3990, 2801, 779, 1559, 5751, 4118, 42813, 3182, 7179, 11007, 16, 6287, 1754, 639, 15877, 26911, 1757, 11193, 48908, 304, 41035, 18, 8773, 1559, 17234, 1964, 1305, 334, 8872, 36987, 16, 46075, 282, 11500, 2801, 779, 18, 3529, 27365, 16, 8318, 9, 21385, 6664, 8773, 289, 19779, 16, 26, 9, 5303, 32880, 5860, 887, 349, 33622, 5247, 282, 2452, 4433, 4551, 18, 8773, 1133, 2891, 10258, 38272, 1011, 1087, 6781, 25553, 309, 4862, 282, 12500, 2801, 779, 18, 6980, 334, 17, 6093, 5273, 8773, 1360, 16, 515, 15027, 19646, 7733, 35463, 18, 5343, 11451, 1576, 12143, 16, 374, 8044, 11007, 7340, 12096, 6929, 16, 282, 5305, 5118, 281, 22647, 12233, 289, 36923, 304, 9085, 36695, 349, 46948, 468, 281, 9609, 18, 10110, 6732, 282, 7337, 281, 44989, 42176, 1038, 11466, 937, 16, 374, 1247, 11007, 478, 8665, 394, 266, 7835, 861, 996, 16, 282, 28138, 5790, 7179, 289, 13279, 13764, 282, 49144, 2261, 4189, 5792, 5860, 6985, 28907, 16, 374, 309, 583, 7972, 6677, 10263, 1038, 2413, 12304, 9616, 8773, 718, 25088, 18, 2046, 3781, 17, 15975, 7179, 4830, 6370, 26334, 2815, 16, 374, 1247, 290, 45421, 24179, 11007, 322, 29881, 6268, 954, 16, 3387, 492, 726, 1142, 286, 18, 478, 22681, 1175, 11451, 27834, 289, 14914, 4165, 2200, 7725, 4151, 16, 374, 309, 20957, 582, 2299, 2900, 6356, 16, 428, 8773, 16, 953, 322, 895, 289, 322, 840, 2002, 16, 1548, 374, 8773, 1623, 47111, 6906, 1175, 910, 510, 1109, 5854, 6677, 4000, 18, 2, 1, 87, 1456, 81, 2448, 30, 4395, 672, 309, 13420, 11056, 11103, 341, 7410, 7388, 18190, 411, 6005, 8904, 22204, 282, 32494, 7167, 10144, 22104, 2001, 282, 4356, 20449, 360, 478, 30635, 1175, 861, 17896, 801, 10144, 6405, 3192, 266, 18, 889, 24039, 3022, 282, 1175, 16, 12698, 12189, 18, 31224, 30, 677, 10882, 12117, 5854, 29343, 434, 3594, 11925, 672, 19518, 38574, 401, 9321, 16, 374, 8624, 2059, 411, 37515, 42194, 29343, 434, 29604, 286, 820, 12836, 28013, 22403, 6604, 1812, 282, 32494, 7167, 42178, 10144, 282, 11043, 394, 2001, 282, 4356, 20888, 385, 6788, 14954, 16, 1029, 282, 4675, 808, 22136, 334, 35491, 282, 22005, 18, 478, 677, 3198, 2107, 16555, 510, 12055, 291, 510, 25469, 11031, 281, 445, 5793, 26856, 12607, 910, 510, 38349, 38574, 401, 18, 11925, 672, 2259, 726, 309, 13420, 11056, 39287, 1450, 22204, 334, 7705, 2418, 22, 18, 21, 25295, 434, 19986, 473, 12515, 440, 16075, 42178, 10144, 814, 478, 6115, 2106, 427, 2125, 898, 953, 11103, 2626, 1450, 726, 1800, 16, 515, 978, 322, 4243, 334, 2059, 13373, 4699, 22551, 8386, 910, 510, 2548, 9216, 6660, 14955, 477, 5792, 33515, 7920, 371, 43130, 2407, 6729, 403, 2781, 2931, 18, 4756, 1279, 385, 6788, 14954, 639, 18966, 11464, 11969, 1743, 334, 7705, 4039, 26, 11828, 2407, 478, 20354, 560, 1979, 28485, 19750, 861, 365, 13186, 5653, 779, 25835, 18789, 4957, 14951, 3297, 429, 281, 19389, 19371, 10305, 289, 7800, 315, 17, 1599, 1385, 7080, 6937, 29604, 18190, 3700, 290, 29860, 2184, 8932, 3021, 282, 4945, 331, 3589, 31604, 14674, 304, 4752, 416, 7428, 18, 824, 3761, 14160, 16, 1177, 4957, 685, 31190, 281, 45047, 30490, 12670, 18, 14373, 11969, 1743, 1279, 385, 6788, 14954, 21849, 925, 282, 13186, 978, 779, 30, 1655, 492, 685, 20817, 334, 38601, 282, 21659, 29126, 18, 602, 6132, 18573, 385, 6788, 2279, 33325, 29604, 40515, 281, 8311, 779, 18, 365, 12354, 5021, 779, 492, 3424, 1559, 11043, 620, 282, 3198, 6993, 27871, 1809, 3182, 18, 365, 3765, 1011, 17541, 20065, 457, 14174, 2513, 706, 289, 282, 3178, 4335, 9909, 322, 8922, 364, 7005, 14016, 282, 6138, 528, 9407, 478, 5786, 44227, 861, 14427, 21680, 645, 385, 6788, 14954, 309, 10296, 16, 20065, 17704, 23613, 12055, 291, 16, 3068, 3359, 36067, 478, 44280, 1063, 3771, 470, 1624, 22014, 16, 374, 11031, 17060, 1717, 492, 18, 6592, 23828, 395, 17541, 16, 1341, 3250, 505, 7491, 7771, 16, 349, 12055, 401, 639, 4674, 315, 309, 816, 5600, 12607, 1143, 16, 828, 349, 385, 6788, 14954, 18, 385, 7396, 23828, 1134, 12055, 291, 8494, 282, 29604, 16671, 9207, 1551, 289, 6463, 8348, 282, 46899, 11285, 18, 478, 12134, 332, 24632, 22485, 3050, 18205, 289, 17626, 15661, 9536, 8150, 334, 7705, 2418, 22, 18, 21, 11828, 2407, 473, 12515, 440, 16075, 42178, 17541, 934, 510, 4848, 403, 2781, 2931, 478, 46088, 18, 8381, 861, 510, 365, 3198, 21849, 925, 11969, 1743, 16, 282, 7433, 2024, 4502, 2919, 6911, 7475, 924, 16, 1085, 757, 481, 15521, 289, 374, 17405, 639, 4037, 433, 440, 4646, 7667, 18, 640, 5734, 2083, 2732, 315, 2702, 20481, 541, 11103, 917, 37976, 9927, 12372, 28013, 293, 1161, 225, 861, 824, 3163, 403, 2781, 8053, 16, 13391, 1958, 857, 16, 374, 3235, 28013, 293, 1161, 282, 32494, 3248, 4678, 13382, 1817, 1888, 1562, 18, 3397, 13391, 36954, 477, 23418, 1051, 978, 8150, 18, 2112, 1660, 1743, 2993, 953, 25907, 282, 1551, 16, 988, 282, 2875, 19603, 840, 4755, 987, 1247, 381, 38545, 10445, 10144, 18, 478, 3743, 1177, 1247, 895, 953, 4755, 987, 289, 519, 7469, 282, 1551, 14132, 1101, 282, 4599, 28013, 293, 1161, 910, 510, 4725, 403, 2781, 2931, 18, 12055, 291, 3893, 16, 374, 1011, 11103, 917, 37976, 28013, 22403, 3253, 567, 1514, 3435, 484, 18, 478, 4182, 687, 24007, 41269, 11051, 289, 26270, 16, 3176, 986, 1450, 38936, 16, 678, 21269, 475, 428, 309, 28390, 16, 510, 2815, 492, 478, 46088, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9977, 282, 2452, 4433, 9355, 282, 2123, 17819, 1045, 18, 15066, 22517, 8501, 685, 18913, 309, 17292, 4772, 17, 11800, 962, 27172, 3352, 18, 9584, 6087, 2975, 685, 7316, 286, 282, 31375, 31657, 11919, 19157, 6897, 4551, 567, 7410, 477, 32183, 4309, 12381, 416, 43503, 289, 2406, 11630, 16934, 1624, 48570, 360, 11007, 289, 32880, 18, 6592, 14371, 16, 24385, 7969, 5943, 549, 17978, 1175, 30, 667, 4238, 510, 8078, 13595, 11007, 16, 46416, 307, 289, 6590, 9977, 282, 2452, 4433, 9355, 473, 3420, 17819, 1205, 814, 365, 4437, 27299, 49800, 5130, 16, 374, 282, 722, 49213, 7961, 1007, 11429, 448, 32700, 485, 4905, 16, 44605, 19417, 667, 473, 28, 13, 4238, 2123, 17819, 779, 21586, 1159, 6670, 392, 5152, 30028, 26911, 1510, 11193, 48908, 478, 262, 33474, 8773, 718, 25088, 16, 7754, 3026, 2334, 289, 40100, 6590, 13496, 1963, 424, 4985, 2594, 3266, 2127, 861, 33671, 5738, 1038, 45922, 16, 374, 8773, 778, 38272, 2261, 3990, 2801, 779, 1559, 5751, 4118, 42813, 3182, 7179, 11007, 16, 6287, 1754, 639, 15877, 26911, 1757, 11193, 48908, 304, 41035, 18, 8773, 1559, 17234, 1964, 1305, 334, 8872, 36987, 16, 46075, 282, 11500, 2801, 779, 18, 3529, 27365, 16, 8318, 9, 21385, 6664, 8773, 289, 19779, 16, 26, 9, 5303, 32880, 5860, 887, 349, 33622, 5247, 282, 2452, 4433, 4551, 18, 8773, 1133, 2891, 10258, 38272, 1011, 1087, 6781, 25553, 309, 4862, 282, 12500, 2801, 779, 18, 6980, 334, 17, 6093, 5273, 8773, 1360, 16, 515, 15027, 19646, 7733, 35463, 18, 5343, 11451, 1576, 12143, 16, 374, 8044, 11007, 7340, 12096, 6929, 16, 282, 5305, 5118, 281, 22647, 12233, 289, 36923, 304, 9085, 36695, 349, 46948, 468, 281, 9609, 18, 10110, 6732, 282, 7337, 281, 44989, 42176, 1038, 11466, 937, 16, 374, 1247, 11007, 478, 8665, 394, 266, 7835, 861, 996, 16, 282, 28138, 5790, 7179, 289, 13279, 13764, 282, 49144, 2261, 4189, 5792, 5860, 6985, 28907, 16, 374, 309, 583, 7972, 6677, 10263, 1038, 2413, 12304, 9616, 8773, 718, 25088, 18, 2046, 3781, 17, 15975, 7179, 4830, 6370, 26334, 2815, 16, 374, 1247, 290, 45421, 24179, 11007, 322, 29881, 6268, 954, 16, 3387, 492, 726, 1142, 286, 18, 478, 22681, 1175, 11451, 27834, 289, 14914, 4165, 2200, 7725, 4151, 16, 374, 309, 20957, 582, 2299, 2900, 6356, 16, 428, 8773, 16, 953, 322, 895, 289, 322, 840, 2002, 16, 1548, 374, 8773, 1623, 47111, 6906, 1175, 910, 510, 1109, 5854, 6677, 4000, 18, 2, 1, 87, 1456, 81, 2448, 30, 4395, 672, 309, 13420, 11056, 11103, 341, 7410, 7388, 18190, 411, 6005, 8904, 22204, 282, 32494, 7167, 10144, 22104, 2001, 282, 4356, 20449, 360, 478, 30635, 1175, 861, 17896, 801, 10144, 6405, 3192, 266, 18, 889, 24039, 3022, 282, 1175, 16, 12698, 12189, 18, 31224, 30, 677, 10882, 12117, 5854, 29343, 434, 3594, 11925, 672, 19518, 38574, 401, 9321, 16, 374, 8624, 2059, 411, 37515, 42194, 29343, 434, 29604, 286, 820, 12836, 28013, 22403, 6604, 1812, 282, 32494, 7167, 42178, 10144, 282, 11043, 394, 2001, 282, 4356, 20888, 385, 6788, 14954, 16, 1029, 282, 4675, 808, 22136, 334, 35491, 282, 22005, 18, 478, 677, 3198, 2107, 16555, 510, 12055, 291, 510, 25469, 11031, 281, 445, 5793, 26856, 12607, 910, 510, 38349, 38574, 401, 18, 11925, 672, 2259, 726, 309, 13420, 11056, 39287, 1450, 22204, 334, 7705, 2418, 22, 18, 21, 25295, 434, 19986, 473, 12515, 440, 16075, 42178, 10144, 814, 478, 6115, 2106, 427, 2125, 898, 953, 11103, 2626, 1450, 726, 1800, 16, 515, 978, 322, 4243, 334, 2059, 13373, 4699, 22551, 8386, 910, 510, 2548, 9216, 6660, 14955, 477, 5792, 33515, 7920, 371, 43130, 2407, 6729, 403, 2781, 2931, 18, 4756, 1279, 385, 6788, 14954, 639, 18966, 11464, 11969, 1743, 334, 7705, 4039, 26, 11828, 2407, 478, 20354, 560, 1979, 28485, 19750, 861, 365, 13186, 5653, 779, 25835, 18789, 4957, 14951, 3297, 429, 281, 19389, 19371, 10305, 289, 7800, 315, 17, 1599, 1385, 7080, 6937, 29604, 18190, 3700, 290, 29860, 2184, 8932, 3021, 282, 4945, 331, 3589, 31604, 14674, 304, 4752, 416, 7428, 18, 824, 3761, 14160, 16, 1177, 4957, 685, 31190, 281, 45047, 30490, 12670, 18, 14373, 11969, 1743, 1279, 385, 6788, 14954, 21849, 925, 282, 13186, 978, 779, 30, 1655, 492, 685, 20817, 334, 38601, 282, 21659, 29126, 18, 602, 6132, 18573, 385, 6788, 2279, 33325, 29604, 40515, 281, 8311, 779, 18, 365, 12354, 5021, 779, 492, 3424, 1559, 11043, 620, 282, 3198, 6993, 27871, 1809, 3182, 18, 365, 3765, 1011, 17541, 20065, 457, 14174, 2513, 706, 289, 282, 3178, 4335, 9909, 322, 8922, 364, 7005, 14016, 282, 6138, 528, 9407, 478, 5786, 44227, 861, 14427, 21680, 645, 385, 6788, 14954, 309, 10296, 16, 20065, 17704, 23613, 12055, 291, 16, 3068, 3359, 36067, 478, 44280, 1063, 3771, 470, 1624, 22014, 16, 374, 11031, 17060, 1717, 492, 18, 6592, 23828, 395, 17541, 16, 1341, 3250, 505, 7491, 7771, 16, 349, 12055, 401, 639, 4674, 315, 309, 816, 5600, 12607, 1143, 16, 828, 349, 385, 6788, 14954, 18, 385, 7396, 23828, 1134, 12055, 291, 8494, 282, 29604, 16671, 9207, 1551, 289, 6463, 8348, 282, 46899, 11285, 18, 478, 12134, 332, 24632, 22485, 3050, 18205, 289, 17626, 15661, 9536, 8150, 334, 7705, 2418, 22, 18, 21, 11828, 2407, 473, 12515, 440, 16075, 42178, 17541, 934, 510, 4848, 403, 2781, 2931, 478, 46088, 18, 8381, 861, 510, 365, 3198, 21849, 925, 11969, 1743, 16, 282, 7433, 2024, 4502, 2919, 6911, 7475, 924, 16, 1085, 757, 481, 15521, 289, 374, 17405, 639, 4037, 433, 440, 4646, 7667, 18, 640, 5734, 2083, 2732, 315, 2702, 20481, 541, 11103, 917, 37976, 9927, 12372, 28013, 293, 1161, 225, 861, 824, 3163, 403, 2781, 8053, 16, 13391, 1958, 857, 16, 374, 3235, 28013, 293, 1161, 282, 32494, 3248, 4678, 13382, 1817, 1888, 1562, 18, 3397, 13391, 36954, 477, 23418, 1051, 978, 8150, 18, 2112, 1660, 1743, 2993, 953, 25907, 282, 1551, 16, 988, 282, 2875, 19603, 840, 4755, 987, 1247, 381, 38545, 10445, 10144, 18, 478, 3743, 1177, 1247, 895, 953, 4755, 987, 289, 519, 7469, 282, 1551, 14132, 1101, 282, 4599, 28013, 293, 1161, 910, 510, 4725, 403, 2781, 2931, 18, 12055, 291, 3893, 16, 374, 1011, 11103, 917, 37976, 28013, 22403, 3253, 567, 1514, 3435, 484, 18, 478, 4182, 687, 24007, 41269, 11051, 289, 26270, 16, 3176, 986, 1450, 38936, 16, 678, 21269, 475, 428, 309, 28390, 16, 510, 2815, 492, 478, 46088, 18 ]
[ 8381, 861, 510, 439, 827, 21269, 678, 16, 502, 3435, 802, 289, 475, 6247, 861, 478, 1358, 38950, 28013, 3899, 272, 16, 374, 1279, 1710, 840, 18966, 11969, 1743, 910, 510, 4848, 12055, 291, 290, 1360, 27561, 281, 18813, 411, 6005, 8904, 2184, 8802, 18, 824, 505, 3163, 16, 28013, 22403, 5438, 16, 374, 9770, 1450, 856, 576, 478, 6781, 13627, 289, 30028, 470, 510, 289, 678, 478, 6781, 1594, 455, 289, 5524, 455, 861, 478, 618, 1441, 387, 5310, 4251, 281, 1614, 16362, 15090, 27635, 349, 1556, 16, 428, 25150, 2906, 1749, 16, 289, 23328, 18387, 16, 367, 813, 18912, 874, 282, 481, 1743, 322, 1381, 910, 510, 1393, 1682, 3064, 12055, 291, 1078, 28013, 293, 1161, 18, 478, 4592, 11055, 322, 13424, 16, 374, 4243, 16, 510, 2548, 492, 16, 510, 282, 8311, 282, 1522, 22312, 16, 282, 6982, 282, 1522, 22312, 289, 17040, 22312, 16, 282, 5021, 2174, 4243, 16, 374, 16, 3903, 373, 16, 2993, 953, 3343, 323, 22558, 12055, 291, 25662, 9795, 8323, 30, 492, 3893, 16, 374, 4040, 11043, 620, 29604, 286, 820, 282, 6449, 1750, 18, 1178, 1551, 23035, 266, 7005, 19163, 10144, 16, 502, 492, 10047, 3059, 22104, 12745, 18, 365, 1750, 575, 3741, 10144, 473, 1243, 323, 21113, 3281, 6059, 12055, 291, 17029, 478, 36773, 400, 4118, 910, 453, 428, 322, 19127, 16, 374, 385, 6788, 14954, 1698, 17985, 1507, 360, 9515, 334, 6619, 290, 8170, 1165, 13, 492, 29569, 3604, 322, 2619, 5953, 9, 12607, 18, 478, 14102, 691, 35579, 14267, 282, 32494, 3248, 4678, 7410, 8424, 510, 24039, 3022, 541, 9716, 1175, 910, 510, 12698, 5037, 21030, 6272, 23061, 3281, 20419, 6569, 3720, 403, 276, 2325, 18, 478, 563, 22539, 265, 16, 785, 15976, 1085, 17, 299, 13619, 2444, 16, 4775, 1625, 318, 18, 1598, 8640, 16685, 287, 10144, 8661, 484, 687, 450, 1991, 645, 18, 378, 1226, 887, 26581, 16661, 10144, 309, 3709, 411, 15802, 282, 16473, 2557, 289, 11031, 22104, 36789, 16011, 282, 5049, 1045, 16, 515, 289, 1122, 289, 1122, 282, 6031, 26869, 414, 7190, 37299, 2891, 910, 510, 8580, 492, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 861, 824, 4734, 403, 21829, 342, 16, 6295, 282, 29604, 286, 2557, 12816, 906, 2410, 27871, 1809, 30, 282, 1420, 3945, 811, 13013, 1137, 7126, 18904, 18, 478, 780, 3651, 1218, 8650, 379, 987, 16, 912, 7814, 19420, 294, 3130, 477, 1963, 4186, 18, 2949, 924, 16, 492, 32468, 309, 8170, 582, 16, 2391, 773, 5658, 45976, 16, 510, 23751, 12189, 16, 510, 282, 7204, 1750, 1743, 3848, 1223, 40716, 519, 4075, 861, 2, 1, 87, 1456, 81, 2448, 30, 672, 7170, 49812, 18164, 478, 45565, 470, 14564, 4798, 326, 1780, 609, 895, 15092, 14261, 282, 14118, 18, 478, 780, 14604, 470, 2715, 47607, 309, 7059, 478, 25626, 470, 13739, 1540, 1042, 25761, 439, 807, 464, 16, 367, 478, 26732, 375, 470, 309, 5572, 39847, 282, 11752, 6450, 4164, 749, 12995, 4654, 47137, 660, 16, 5076, 19547, 6029, 20866, 28751, 282, 22643, 18, 31224, 30, 16385, 13673, 6959, 10292, 19547, 12520, 29978, 289, 1783, 548, 36518, 434, 10059, 282, 31585, 289, 939, 31585, 9919, 1919, 16, 5222, 7638, 17, 38915, 14118, 14676, 2904, 309, 16356, 8275, 16, 3953, 7021, 37061, 18, 33424, 49812, 18164, 478, 45565, 470, 14564, 4798, 326, 1780, 609, 36476, 309, 2615, 3191, 281, 15825, 37026, 24262, 10788, 18, 478, 7306, 5983, 873, 24136, 3662, 14665, 309, 37943, 4798, 326, 1780, 1043, 1624, 510, 15875, 4830, 478, 45565, 470, 6816, 457, 1285, 1496, 401, 478, 563, 1605, 861, 651, 18129, 334, 7802, 11208, 840, 7239, 1011, 18890, 18293, 861, 8071, 1888, 48872, 7586, 16, 478, 13781, 470, 289, 478, 29428, 910, 48898, 2354, 294, 24900, 3033, 478, 682, 5159, 268, 21145, 470, 289, 7342, 10440, 17667, 1626, 403, 509, 370, 21607, 18, 478, 11227, 17667, 1626, 34973, 282, 6551, 757, 373, 1852, 14679, 43131, 16, 510, 7332, 1694, 14840, 19574, 33073, 6041, 999, 513, 3949, 507, 478, 36625, 861, 651, 365, 3723, 707, 2628, 475, 16, 515, 7006, 520, 478, 682, 5159, 268, 10057, 470, 17970, 32668, 477, 2200, 21340, 282, 8151, 8900, 861, 36604, 2549, 549, 6134, 33735, 24900, 837, 16, 334, 18980, 25010, 26064, 88, 18, 12739, 16, 4896, 25817, 25, 3763, 18, 832, 20846, 16, 374, 12697, 3352, 381, 1448, 409, 5781, 23904, 294, 4960, 272, 478, 682, 5159, 268, 21145, 470, 13717, 5173, 18787, 12778, 18, 3510, 764, 1965, 5548, 16, 428, 290, 2463, 1142, 6238, 16, 8846, 290, 4957, 869, 4163, 1251, 478, 780, 1154, 547, 470, 289, 478, 20028, 496, 470, 290, 26822, 28253, 1540, 1042, 25761, 439, 807, 464, 18, 27784, 16355, 285, 7342, 9893, 8641, 1943, 685, 764, 309, 1335, 11056, 45237, 282, 15330, 541, 1962, 42957, 287, 289, 31950, 13416, 20194, 18, 45241, 17, 22079, 478, 780, 1154, 324, 470, 45008, 15573, 8316, 326, 9977, 2815, 16, 374, 7059, 478, 25626, 470, 639, 27529, 19848, 18, 478, 37984, 320, 873, 32053, 294, 1299, 281, 14503, 290, 13486, 439, 807, 464, 16, 515, 492, 6040, 1299, 9771, 910, 510, 7332, 1694, 8316, 326, 9977, 12117, 4788, 478, 780, 1154, 324, 861, 640, 5066, 21409, 5702, 1314, 289, 36518, 282, 478, 22262, 470, 6816, 21734, 1838, 324, 18, 478, 4348, 322, 1121, 339, 11738, 290, 13486, 1307, 28772, 537, 281, 478, 20028, 496, 910, 537, 281, 4080, 17, 3697, 4310, 29709, 16, 510, 15875, 29891, 8840, 478, 13781, 470, 15803, 8316, 2608, 324, 478, 36625, 861, 651, 385, 19015, 575, 31950, 4090, 20194, 281, 28500, 651, 26893, 1743, 7586, 16, 2486, 322, 20165, 22812, 1465, 861, 4320, 3723, 43513, 6551, 595, 1891, 25002, 6911, 14450, 16, 3333, 4966, 726, 33802, 294, 13148, 294, 15324, 4002, 4681, 18, 12824, 411, 5606, 481, 3404, 478, 26732, 375, 470, 1624, 5076, 726, 2418, 3750, 10412, 5848, 2615, 10133, 282, 22979, 17, 21131, 16180, 5538, 18, 640, 39847, 282, 11752, 1003, 27273, 613, 12995, 4654, 47137, 660, 16, 5076, 19547, 12520, 20866, 28751, 309, 22993, 18, 2387, 289, 45506, 24900, 837, 528, 508, 26990, 22227, 1624, 411, 17, 431, 2024, 3895, 322, 34738, 1810, 6001, 6838, 4671, 700, 512, 18, 9570, 11930, 411, 21075, 7947, 688, 455, 16, 4210, 25100, 379, 273, 1624, 41497, 403, 551, 273, 5162, 274, 1624, 7362, 14018, 1467, 300, 19937, 1624, 7550, 15376, 465, 3740, 289, 28670, 511, 20076, 272, 1452, 18, 20876 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8381, 861, 510, 439, 827, 21269, 678, 16, 502, 3435, 802, 289, 475, 6247, 861, 478, 1358, 38950, 28013, 3899, 272, 16, 374, 1279, 1710, 840, 18966, 11969, 1743, 910, 510, 4848, 12055, 291, 290, 1360, 27561, 281, 18813, 411, 6005, 8904, 2184, 8802, 18, 824, 505, 3163, 16, 28013, 22403, 5438, 16, 374, 9770, 1450, 856, 576, 478, 6781, 13627, 289, 30028, 470, 510, 289, 678, 478, 6781, 1594, 455, 289, 5524, 455, 861, 478, 618, 1441, 387, 5310, 4251, 281, 1614, 16362, 15090, 27635, 349, 1556, 16, 428, 25150, 2906, 1749, 16, 289, 23328, 18387, 16, 367, 813, 18912, 874, 282, 481, 1743, 322, 1381, 910, 510, 1393, 1682, 3064, 12055, 291, 1078, 28013, 293, 1161, 18, 478, 4592, 11055, 322, 13424, 16, 374, 4243, 16, 510, 2548, 492, 16, 510, 282, 8311, 282, 1522, 22312, 16, 282, 6982, 282, 1522, 22312, 289, 17040, 22312, 16, 282, 5021, 2174, 4243, 16, 374, 16, 3903, 373, 16, 2993, 953, 3343, 323, 22558, 12055, 291, 25662, 9795, 8323, 30, 492, 3893, 16, 374, 4040, 11043, 620, 29604, 286, 820, 282, 6449, 1750, 18, 1178, 1551, 23035, 266, 7005, 19163, 10144, 16, 502, 492, 10047, 3059, 22104, 12745, 18, 365, 1750, 575, 3741, 10144, 473, 1243, 323, 21113, 3281, 6059, 12055, 291, 17029, 478, 36773, 400, 4118, 910, 453, 428, 322, 19127, 16, 374, 385, 6788, 14954, 1698, 17985, 1507, 360, 9515, 334, 6619, 290, 8170, 1165, 13, 492, 29569, 3604, 322, 2619, 5953, 9, 12607, 18, 478, 14102, 691, 35579, 14267, 282, 32494, 3248, 4678, 7410, 8424, 510, 24039, 3022, 541, 9716, 1175, 910, 510, 12698, 5037, 21030, 6272, 23061, 3281, 20419, 6569, 3720, 403, 276, 2325, 18, 478, 563, 22539, 265, 16, 785, 15976, 1085, 17, 299, 13619, 2444, 16, 4775, 1625, 318, 18, 1598, 8640, 16685, 287, 10144, 8661, 484, 687, 450, 1991, 645, 18, 378, 1226, 887, 26581, 16661, 10144, 309, 3709, 411, 15802, 282, 16473, 2557, 289, 11031, 22104, 36789, 16011, 282, 5049, 1045, 16, 515, 289, 1122, 289, 1122, 282, 6031, 26869, 414, 7190, 37299, 2891, 910, 510, 8580, 492, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 861, 824, 4734, 403, 21829, 342, 16, 6295, 282, 29604, 286, 2557, 12816, 906, 2410, 27871, 1809, 30, 282, 1420, 3945, 811, 13013, 1137, 7126, 18904, 18, 478, 780, 3651, 1218, 8650, 379, 987, 16, 912, 7814, 19420, 294, 3130, 477, 1963, 4186, 18, 2949, 924, 16, 492, 32468, 309, 8170, 582, 16, 2391, 773, 5658, 45976, 16, 510, 23751, 12189, 16, 510, 282, 7204, 1750, 1743, 3848, 1223, 40716, 519, 4075, 861, 2, 1, 87, 1456, 81, 2448, 30, 672, 7170, 49812, 18164, 478, 45565, 470, 14564, 4798, 326, 1780, 609, 895, 15092, 14261, 282, 14118, 18, 478, 780, 14604, 470, 2715, 47607, 309, 7059, 478, 25626, 470, 13739, 1540, 1042, 25761, 439, 807, 464, 16, 367, 478, 26732, 375, 470, 309, 5572, 39847, 282, 11752, 6450, 4164, 749, 12995, 4654, 47137, 660, 16, 5076, 19547, 6029, 20866, 28751, 282, 22643, 18, 31224, 30, 16385, 13673, 6959, 10292, 19547, 12520, 29978, 289, 1783, 548, 36518, 434, 10059, 282, 31585, 289, 939, 31585, 9919, 1919, 16, 5222, 7638, 17, 38915, 14118, 14676, 2904, 309, 16356, 8275, 16, 3953, 7021, 37061, 18, 33424, 49812, 18164, 478, 45565, 470, 14564, 4798, 326, 1780, 609, 36476, 309, 2615, 3191, 281, 15825, 37026, 24262, 10788, 18, 478, 7306, 5983, 873, 24136, 3662, 14665, 309, 37943, 4798, 326, 1780, 1043, 1624, 510, 15875, 4830, 478, 45565, 470, 6816, 457, 1285, 1496, 401, 478, 563, 1605, 861, 651, 18129, 334, 7802, 11208, 840, 7239, 1011, 18890, 18293, 861, 8071, 1888, 48872, 7586, 16, 478, 13781, 470, 289, 478, 29428, 910, 48898, 2354, 294, 24900, 3033, 478, 682, 5159, 268, 21145, 470, 289, 7342, 10440, 17667, 1626, 403, 509, 370, 21607, 18, 478, 11227, 17667, 1626, 34973, 282, 6551, 757, 373, 1852, 14679, 43131, 16, 510, 7332, 1694, 14840, 19574, 33073, 6041, 999, 513, 3949, 507, 478, 36625, 861, 651, 365, 3723, 707, 2628, 475, 16, 515, 7006, 520, 478, 682, 5159, 268, 10057, 470, 17970, 32668, 477, 2200, 21340, 282, 8151, 8900, 861, 36604, 2549, 549, 6134, 33735, 24900, 837, 16, 334, 18980, 25010, 26064, 88, 18, 12739, 16, 4896, 25817, 25, 3763, 18, 832, 20846, 16, 374, 12697, 3352, 381, 1448, 409, 5781, 23904, 294, 4960, 272, 478, 682, 5159, 268, 21145, 470, 13717, 5173, 18787, 12778, 18, 3510, 764, 1965, 5548, 16, 428, 290, 2463, 1142, 6238, 16, 8846, 290, 4957, 869, 4163, 1251, 478, 780, 1154, 547, 470, 289, 478, 20028, 496, 470, 290, 26822, 28253, 1540, 1042, 25761, 439, 807, 464, 18, 27784, 16355, 285, 7342, 9893, 8641, 1943, 685, 764, 309, 1335, 11056, 45237, 282, 15330, 541, 1962, 42957, 287, 289, 31950, 13416, 20194, 18, 45241, 17, 22079, 478, 780, 1154, 324, 470, 45008, 15573, 8316, 326, 9977, 2815, 16, 374, 7059, 478, 25626, 470, 639, 27529, 19848, 18, 478, 37984, 320, 873, 32053, 294, 1299, 281, 14503, 290, 13486, 439, 807, 464, 16, 515, 492, 6040, 1299, 9771, 910, 510, 7332, 1694, 8316, 326, 9977, 12117, 4788, 478, 780, 1154, 324, 861, 640, 5066, 21409, 5702, 1314, 289, 36518, 282, 478, 22262, 470, 6816, 21734, 1838, 324, 18, 478, 4348, 322, 1121, 339, 11738, 290, 13486, 1307, 28772, 537, 281, 478, 20028, 496, 910, 537, 281, 4080, 17, 3697, 4310, 29709, 16, 510, 15875, 29891, 8840, 478, 13781, 470, 15803, 8316, 2608, 324, 478, 36625, 861, 651, 385, 19015, 575, 31950, 4090, 20194, 281, 28500, 651, 26893, 1743, 7586, 16, 2486, 322, 20165, 22812, 1465, 861, 4320, 3723, 43513, 6551, 595, 1891, 25002, 6911, 14450, 16, 3333, 4966, 726, 33802, 294, 13148, 294, 15324, 4002, 4681, 18, 12824, 411, 5606, 481, 3404, 478, 26732, 375, 470, 1624, 5076, 726, 2418, 3750, 10412, 5848, 2615, 10133, 282, 22979, 17, 21131, 16180, 5538, 18, 640, 39847, 282, 11752, 1003, 27273, 613, 12995, 4654, 47137, 660, 16, 5076, 19547, 12520, 20866, 28751, 309, 22993, 18, 2387, 289, 45506, 24900, 837, 528, 508, 26990, 22227, 1624, 411, 17, 431, 2024, 3895, 322, 34738, 1810, 6001, 6838, 4671, 700, 512, 18, 9570, 11930, 411, 21075, 7947, 688, 455, 16, 4210, 25100, 379, 273, 1624, 41497, 403, 551, 273, 5162, 274, 1624, 7362, 14018, 1467, 300, 19937, 1624, 7550, 15376, 465, 3740, 289, 28670, 511, 20076, 272, 1452, 18, 20876 ]
[ 262, 7426, 14725, 282, 727, 682, 1098, 349, 478, 3096, 399, 5497, 982, 273, 910, 1029, 9600, 1623, 8896, 277, 17, 27475, 304, 478, 26732, 884, 861, 3492, 411, 1967, 32462, 8633, 282, 10434, 4671, 700, 3583, 1624, 367, 1085, 1858, 36476, 282, 17123, 16, 49267, 334, 8954, 42720, 18, 49450, 1162, 478, 15821, 486, 470, 309, 2615, 3191, 36476, 687, 2123, 3612, 18, 403, 2856, 1612, 16, 428, 22618, 30435, 6187, 4966, 7550, 12055, 291, 1624, 4573, 840, 1142, 286, 1247, 281, 7265, 26434, 18, 365, 478, 26431, 9977, 470, 1247, 281, 7265, 26434, 726, 5658, 18, 832, 16053, 16, 428, 16, 515, 49565, 16, 334, 5833, 3538, 16, 912, 18, 985, 3110, 12117, 4788, 2250, 13720, 718, 7586, 16, 3655, 38331, 17397, 26590, 1285, 15885, 1634, 36294, 18, 9418, 281, 12897, 1703, 34316, 1747, 3624, 4944, 20169, 30278, 1624, 9543, 32543, 301, 16, 9680, 19671, 1532, 10618, 4845, 1624, 367, 1038, 9680, 334, 415, 1182, 672, 17711, 9880, 306, 1520, 18, 1787, 16891, 281, 2250, 13720, 1703, 3723, 10667, 282, 12897, 778, 11226, 4292, 1235, 11350, 17, 344, 23642, 1187, 3536, 1395, 718, 478, 45565, 470, 43526, 3551, 47989, 1231, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 18569, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 9489, 14248, 360, 478, 16563, 5002, 507, 470, 47487, 478, 38900, 1699, 274, 470, 7550, 18161, 272, 1520, 4848, 16, 374, 2191, 35036, 505, 9972, 322, 12982, 326, 18, 17738, 18319, 291, 1275, 6096, 31069, 44143, 9064, 309, 5421, 9518, 281, 9795, 26763, 18, 31224, 30, 677, 37486, 1666, 478, 38900, 1699, 274, 470, 7550, 18161, 272, 1520, 1109, 16, 374, 322, 3365, 988, 32033, 14261, 282, 11671, 11258, 18, 478, 1659, 964, 322, 11576, 541, 9764, 35, 365, 803, 8267, 309, 322, 11576, 30939, 16, 510, 1109, 18161, 272, 1520, 18, 510, 40584, 4050, 282, 3217, 10717, 639, 2955, 18, 14256, 564, 329, 813, 9405, 16, 515, 40211, 475, 774, 276, 282, 24163, 1207, 861, 510, 22091, 19917, 9518, 309, 634, 313, 34677, 284, 2843, 35, 510, 3923, 16, 21188, 316, 2602, 16, 19785, 16, 322, 7820, 18, 740, 329, 813, 7736, 764, 26567, 44064, 18, 996, 374, 31867, 8103, 23683, 1122, 18, 510, 9398, 12980, 360, 978, 14452, 35, 510, 14097, 319, 1494, 36871, 16, 828, 49717, 16, 11382, 329, 813, 329, 4286, 11389, 281, 29709, 18, 19613, 26236, 294, 2117, 277, 18, 510, 478, 16563, 46356, 470, 828, 29713, 39185, 35, 510, 2255, 1313, 18, 42810, 14725, 38608, 318, 18, 5005, 8462, 329, 1129, 3230, 18, 365, 17472, 656, 322, 329, 7367, 18, 740, 8462, 16, 9357, 1719, 16, 329, 16452, 26226, 2191, 13104, 7586, 3230, 18, 403, 2222, 575, 656, 24366, 4335, 12525, 18, 9398, 9118, 309, 5421, 9518, 35, 4320, 322, 2060, 18, 34231, 18, 17738, 478, 38900, 1699, 274, 470, 6096, 31069, 44143, 2815, 16, 374, 8616, 424, 5162, 27580, 18, 478, 1140, 21755, 939, 11855, 42563, 22227, 15561, 289, 1258, 38082, 342, 16, 11382, 5251, 1880, 42563, 1097, 6191, 1904, 16, 510, 1109, 31069, 44143, 18, 510, 1345, 19785, 18, 34165, 656, 4732, 4702, 18, 9993, 16, 27580, 32052, 1867, 411, 5424, 265, 861, 510, 1397, 26498, 381, 2614, 17175, 8900, 35, 510, 385, 3192, 2710, 8266, 13449, 18, 1178, 3111, 290, 4380, 309, 9518, 16, 502, 656, 322, 11596, 282, 22979, 17, 21131, 18, 889, 6815, 4797, 6441, 18, 385, 2107, 1963, 16, 2447, 2023, 16, 374, 334, 7413, 281, 26557, 4002, 1305, 7193, 478, 38900, 27472, 470, 37544, 2712, 18, 608, 813, 15672, 16, 1718, 40220, 7193, 18, 1345, 6547, 9667, 3321, 4024, 18, 459, 935, 322, 1176, 18, 510, 21373, 4251, 294, 6590, 454, 44064, 35, 510, 3923, 18, 10085, 31565, 2117, 16, 828, 12031, 6450, 7434, 18, 2876, 2259, 5898, 294, 10133, 395, 18, 608, 2191, 34041, 939, 1269, 8182, 12032, 11980, 1279, 813, 16, 453, 374, 417, 9763, 3402, 309, 27027, 898, 38578, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 38900, 27472, 470, 651, 478, 16563, 46356, 861, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 46255, 1615, 24413, 43209, 294, 2511, 17912, 15978, 7203, 10342, 20840, 25470, 4717, 17, 8844, 960, 724, 2294, 42706, 1528, 1241, 2137, 11118, 16, 2588, 15709, 6343, 25262, 9353, 416, 282, 16765, 1360, 14703, 18, 29957, 2234, 3017, 3619, 289, 9774, 8150, 10618, 20876, 7310, 16, 1029, 16, 334, 7475, 14160, 16, 7214, 309, 11910, 349, 3610, 4500, 18, 1671, 18, 31224, 30, 6706, 12241, 43788, 24413, 1257, 13089, 10566, 7410, 25470, 4717, 17, 8844, 960, 724, 2294, 1175, 42706, 426, 1241, 2137, 1161, 16, 14449, 416, 15709, 23264, 6655, 7771, 9353, 416, 282, 33490, 343, 21732, 294, 3496, 1016, 1360, 11563, 569, 2203, 309, 1335, 9515, 46233, 5573, 306, 34095, 18, 21102, 2116, 8150, 10618, 20876, 7310, 16, 1029, 48557, 282, 373, 712, 582, 309, 13157, 1241, 2137, 1161, 16, 1038, 36476, 349, 38320, 18, 6592, 15166, 20256, 11088, 1681, 5634, 1615, 401, 1624, 27848, 26900, 12418, 10412, 360, 35131, 282, 8635, 6585, 334, 2511, 986, 18, 1241, 2137, 1161, 38947, 8635, 542, 7203, 10342, 1624, 367, 20876, 266, 1147, 510, 40945, 18, 2949, 924, 16, 16044, 14001, 2538, 1263, 18100, 1027, 510, 13321, 7808, 323, 4109, 18, 1241, 2137, 401, 2879, 840, 36089, 1450, 17427, 4500, 18, 1671, 2211, 367, 20876, 7310, 510, 7593, 4500, 18, 4756, 15709, 6343, 10384, 306, 1609, 1134, 1279, 3437, 25262, 20840, 15137, 9353, 416, 289, 322, 14615, 15305, 3585, 29317, 2981, 18, 365, 4599, 20876, 9305, 8113, 43636, 12978, 4345, 510, 7109, 1279, 40888, 16, 371, 803, 25539, 9721, 294, 14728, 16, 374, 492, 23191, 3585, 29317, 2981, 18, 824, 7475, 14160, 16, 282, 4440, 1045, 1251, 5573, 306, 34095, 289, 1241, 2137, 1161, 16, 2412, 4028, 3059, 9541, 17, 40000, 15137, 16, 18795, 25145, 15367, 3361, 309, 25426, 697, 22546, 3416, 18, 985, 3542, 4140, 1087, 348, 420, 2116, 282, 12564, 16, 5573, 306, 3949, 799, 5279, 29668, 29899, 4730, 12270, 16, 281, 3279, 1450, 282, 6031, 3225, 12599, 18, 2112, 46634, 22374, 678, 8093, 309, 8031, 454, 16, 374, 7545, 576, 9118, 1241, 2137, 1161, 16, 4660, 650, 4028, 13898, 722, 1756, 18, 824, 7475, 14160, 16, 9541, 17, 22079, 662, 17627, 6036, 294, 2222, 575, 5121, 424, 11616, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 262, 7426, 14725, 282, 727, 682, 1098, 349, 478, 3096, 399, 5497, 982, 273, 910, 1029, 9600, 1623, 8896, 277, 17, 27475, 304, 478, 26732, 884, 861, 3492, 411, 1967, 32462, 8633, 282, 10434, 4671, 700, 3583, 1624, 367, 1085, 1858, 36476, 282, 17123, 16, 49267, 334, 8954, 42720, 18, 49450, 1162, 478, 15821, 486, 470, 309, 2615, 3191, 36476, 687, 2123, 3612, 18, 403, 2856, 1612, 16, 428, 22618, 30435, 6187, 4966, 7550, 12055, 291, 1624, 4573, 840, 1142, 286, 1247, 281, 7265, 26434, 18, 365, 478, 26431, 9977, 470, 1247, 281, 7265, 26434, 726, 5658, 18, 832, 16053, 16, 428, 16, 515, 49565, 16, 334, 5833, 3538, 16, 912, 18, 985, 3110, 12117, 4788, 2250, 13720, 718, 7586, 16, 3655, 38331, 17397, 26590, 1285, 15885, 1634, 36294, 18, 9418, 281, 12897, 1703, 34316, 1747, 3624, 4944, 20169, 30278, 1624, 9543, 32543, 301, 16, 9680, 19671, 1532, 10618, 4845, 1624, 367, 1038, 9680, 334, 415, 1182, 672, 17711, 9880, 306, 1520, 18, 1787, 16891, 281, 2250, 13720, 1703, 3723, 10667, 282, 12897, 778, 11226, 4292, 1235, 11350, 17, 344, 23642, 1187, 3536, 1395, 718, 478, 45565, 470, 43526, 3551, 47989, 1231, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 18569, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 9489, 14248, 360, 478, 16563, 5002, 507, 470, 47487, 478, 38900, 1699, 274, 470, 7550, 18161, 272, 1520, 4848, 16, 374, 2191, 35036, 505, 9972, 322, 12982, 326, 18, 17738, 18319, 291, 1275, 6096, 31069, 44143, 9064, 309, 5421, 9518, 281, 9795, 26763, 18, 31224, 30, 677, 37486, 1666, 478, 38900, 1699, 274, 470, 7550, 18161, 272, 1520, 1109, 16, 374, 322, 3365, 988, 32033, 14261, 282, 11671, 11258, 18, 478, 1659, 964, 322, 11576, 541, 9764, 35, 365, 803, 8267, 309, 322, 11576, 30939, 16, 510, 1109, 18161, 272, 1520, 18, 510, 40584, 4050, 282, 3217, 10717, 639, 2955, 18, 14256, 564, 329, 813, 9405, 16, 515, 40211, 475, 774, 276, 282, 24163, 1207, 861, 510, 22091, 19917, 9518, 309, 634, 313, 34677, 284, 2843, 35, 510, 3923, 16, 21188, 316, 2602, 16, 19785, 16, 322, 7820, 18, 740, 329, 813, 7736, 764, 26567, 44064, 18, 996, 374, 31867, 8103, 23683, 1122, 18, 510, 9398, 12980, 360, 978, 14452, 35, 510, 14097, 319, 1494, 36871, 16, 828, 49717, 16, 11382, 329, 813, 329, 4286, 11389, 281, 29709, 18, 19613, 26236, 294, 2117, 277, 18, 510, 478, 16563, 46356, 470, 828, 29713, 39185, 35, 510, 2255, 1313, 18, 42810, 14725, 38608, 318, 18, 5005, 8462, 329, 1129, 3230, 18, 365, 17472, 656, 322, 329, 7367, 18, 740, 8462, 16, 9357, 1719, 16, 329, 16452, 26226, 2191, 13104, 7586, 3230, 18, 403, 2222, 575, 656, 24366, 4335, 12525, 18, 9398, 9118, 309, 5421, 9518, 35, 4320, 322, 2060, 18, 34231, 18, 17738, 478, 38900, 1699, 274, 470, 6096, 31069, 44143, 2815, 16, 374, 8616, 424, 5162, 27580, 18, 478, 1140, 21755, 939, 11855, 42563, 22227, 15561, 289, 1258, 38082, 342, 16, 11382, 5251, 1880, 42563, 1097, 6191, 1904, 16, 510, 1109, 31069, 44143, 18, 510, 1345, 19785, 18, 34165, 656, 4732, 4702, 18, 9993, 16, 27580, 32052, 1867, 411, 5424, 265, 861, 510, 1397, 26498, 381, 2614, 17175, 8900, 35, 510, 385, 3192, 2710, 8266, 13449, 18, 1178, 3111, 290, 4380, 309, 9518, 16, 502, 656, 322, 11596, 282, 22979, 17, 21131, 18, 889, 6815, 4797, 6441, 18, 385, 2107, 1963, 16, 2447, 2023, 16, 374, 334, 7413, 281, 26557, 4002, 1305, 7193, 478, 38900, 27472, 470, 37544, 2712, 18, 608, 813, 15672, 16, 1718, 40220, 7193, 18, 1345, 6547, 9667, 3321, 4024, 18, 459, 935, 322, 1176, 18, 510, 21373, 4251, 294, 6590, 454, 44064, 35, 510, 3923, 18, 10085, 31565, 2117, 16, 828, 12031, 6450, 7434, 18, 2876, 2259, 5898, 294, 10133, 395, 18, 608, 2191, 34041, 939, 1269, 8182, 12032, 11980, 1279, 813, 16, 453, 374, 417, 9763, 3402, 309, 27027, 898, 38578, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 38900, 27472, 470, 651, 478, 16563, 46356, 861, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 46255, 1615, 24413, 43209, 294, 2511, 17912, 15978, 7203, 10342, 20840, 25470, 4717, 17, 8844, 960, 724, 2294, 42706, 1528, 1241, 2137, 11118, 16, 2588, 15709, 6343, 25262, 9353, 416, 282, 16765, 1360, 14703, 18, 29957, 2234, 3017, 3619, 289, 9774, 8150, 10618, 20876, 7310, 16, 1029, 16, 334, 7475, 14160, 16, 7214, 309, 11910, 349, 3610, 4500, 18, 1671, 18, 31224, 30, 6706, 12241, 43788, 24413, 1257, 13089, 10566, 7410, 25470, 4717, 17, 8844, 960, 724, 2294, 1175, 42706, 426, 1241, 2137, 1161, 16, 14449, 416, 15709, 23264, 6655, 7771, 9353, 416, 282, 33490, 343, 21732, 294, 3496, 1016, 1360, 11563, 569, 2203, 309, 1335, 9515, 46233, 5573, 306, 34095, 18, 21102, 2116, 8150, 10618, 20876, 7310, 16, 1029, 48557, 282, 373, 712, 582, 309, 13157, 1241, 2137, 1161, 16, 1038, 36476, 349, 38320, 18, 6592, 15166, 20256, 11088, 1681, 5634, 1615, 401, 1624, 27848, 26900, 12418, 10412, 360, 35131, 282, 8635, 6585, 334, 2511, 986, 18, 1241, 2137, 1161, 38947, 8635, 542, 7203, 10342, 1624, 367, 20876, 266, 1147, 510, 40945, 18, 2949, 924, 16, 16044, 14001, 2538, 1263, 18100, 1027, 510, 13321, 7808, 323, 4109, 18, 1241, 2137, 401, 2879, 840, 36089, 1450, 17427, 4500, 18, 1671, 2211, 367, 20876, 7310, 510, 7593, 4500, 18, 4756, 15709, 6343, 10384, 306, 1609, 1134, 1279, 3437, 25262, 20840, 15137, 9353, 416, 289, 322, 14615, 15305, 3585, 29317, 2981, 18, 365, 4599, 20876, 9305, 8113, 43636, 12978, 4345, 510, 7109, 1279, 40888, 16, 371, 803, 25539, 9721, 294, 14728, 16, 374, 492, 23191, 3585, 29317, 2981, 18, 824, 7475, 14160, 16, 282, 4440, 1045, 1251, 5573, 306, 34095, 289, 1241, 2137, 1161, 16, 2412, 4028, 3059, 9541, 17, 40000, 15137, 16, 18795, 25145, 15367, 3361, 309, 25426, 697, 22546, 3416, 18, 985, 3542, 4140, 1087, 348, 420, 2116, 282, 12564, 16, 5573, 306, 3949, 799, 5279, 29668, 29899, 4730, 12270, 16, 281, 3279, 1450, 282, 6031, 3225, 12599, 18, 2112, 46634, 22374, 678, 8093, 309, 8031, 454, 16, 374, 7545, 576, 9118, 1241, 2137, 1161, 16, 4660, 650, 4028, 13898, 722, 1756, 18, 824, 7475, 14160, 16, 9541, 17, 22079, 662, 17627, 6036, 294, 2222, 575, 5121, 424, 11616, 16 ]
[ 289, 678, 31754, 8258, 5573, 306, 12437, 18, 21102, 1507, 32709, 539, 678, 5012, 5481, 6232, 342, 12640, 309, 2923, 722, 12480, 20876, 266, 1147, 18, 999, 11910, 1241, 2137, 401, 16643, 975, 3610, 4500, 18, 1671, 18, 20876, 7310, 3508, 22585, 282, 31647, 5573, 306, 34095, 424, 7595, 2280, 10769, 274, 18, 985, 5273, 22204, 16, 491, 4189, 4440, 779, 492, 11326, 6246, 7774, 1058, 16, 4987, 516, 309, 4769, 40368, 9657, 16, 34917, 11142, 454, 16, 11961, 33793, 27187, 289, 4445, 6760, 10890, 22761, 18, 16539, 1912, 18, 646, 492, 685, 726, 282, 4122, 5573, 306, 34095, 282, 47408, 39120, 512, 1212, 42158, 18, 2046, 281, 4183, 4570, 15521, 11910, 492, 322, 2564, 16, 453, 428, 322, 6089, 36622, 6175, 30, 3708, 475, 808, 46722, 334, 8352, 18, 4852, 11888, 4177, 492, 33647, 8641, 541, 13913, 2119, 267, 1731, 18, 640, 2456, 575, 2463, 16, 334, 7475, 14160, 16, 492, 9031, 294, 1241, 2137, 1161, 16, 753, 22632, 5528, 722, 360, 8150, 16, 515, 1543, 9474, 12321, 309, 3177, 18, 20876, 7310, 5264, 294, 5573, 306, 34095, 2364, 1281, 18, 646, 18, 32952, 662, 16, 5938, 30298, 1101, 16, 492, 12983, 282, 16272, 18, 1591, 808, 1810, 492, 8409, 5573, 306, 12437, 4366, 289, 16, 785, 678, 37375, 16, 1293, 445, 11868, 722, 2355, 263, 3328, 35858, 334, 4822, 18, 824, 899, 3833, 1712, 43200, 309, 2468, 18, 640, 5421, 1119, 492, 3619, 32514, 2906, 3610, 4500, 18, 1671, 18, 4852, 1293, 4776, 20876, 7310, 685, 20817, 18, 817, 14403, 282, 281, 7774, 1231, 547, 289, 11836, 309, 1241, 2137, 11118, 428, 309, 23946, 18, 5043, 16, 10188, 492, 9473, 360, 1634, 1280, 16, 33160, 16, 374, 745, 898, 40751, 424, 23057, 18, 365, 12564, 5826, 1360, 18051, 322, 25262, 18, 39442, 25470, 4717, 17, 8844, 960, 724, 2294, 16, 661, 2508, 289, 26900, 25798, 16, 289, 18100, 2848, 16, 36680, 282, 12564, 16, 374, 1251, 2872, 322, 639, 5522, 7739, 19637, 18, 824, 697, 3163, 16, 1241, 2137, 401, 289, 453, 3716, 8278, 332, 2651, 2768, 349, 3636, 348, 43513, 5573, 306, 12437, 18, 1598, 17, 431, 722, 7925, 10172, 15137, 935, 7187, 27991, 33360, 4830, 18, 985, 2271, 2853, 22747, 2203, 26900, 8809, 16, 21135, 381, 16765, 5573, 306, 34095, 16, 1241, 2137, 401, 4056, 9321, 290, 5941, 5848, 14781, 18, 20876, 7310, 575, 16, 334, 697, 3163, 16, 8641, 935, 11475, 4984, 5573, 306, 12437, 30, 334, 21550, 1241, 2137, 1161, 492, 16439, 1450, 9494, 18, 30858, 1157, 26900, 9522, 12002, 16, 374, 21038, 29581, 1086, 10566, 5129, 289, 29913, 309, 38545, 44462, 354, 16, 453, 428, 1551, 322, 15272, 11675, 2675, 22812, 3633, 697, 15463, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 29521, 298, 433, 470, 22985, 396, 15637, 962, 342, 16, 12067, 21515, 289, 439, 10119, 21710, 2760, 6178, 478, 21664, 18113, 948, 470, 294, 1354, 16, 26590, 2477, 22803, 1211, 16, 515, 10645, 505, 478, 15995, 1035, 470, 18131, 1472, 2132, 2683, 16, 367, 1038, 31983, 17, 38114, 1133, 478, 598, 1184, 382, 470, 282, 23557, 4642, 16287, 2069, 837, 282, 29730, 18, 31224, 30, 9489, 1335, 5790, 16, 349, 1754, 14007, 14402, 282, 15640, 423, 478, 29521, 298, 12169, 470, 281, 4055, 17, 277, 21908, 510, 424, 1498, 282, 10434, 11347, 505, 2361, 36132, 27316, 6096, 28468, 512, 1624, 510, 22244, 933, 25467, 2364, 1702, 17543, 329, 18952, 5539, 2820, 13316, 847, 18, 439, 1215, 381, 29641, 1593, 282, 8267, 28468, 512, 17, 14754, 3045, 322, 3837, 16, 581, 289, 478, 684, 2334, 488, 9192, 470, 329, 7367, 16, 5505, 10551, 46234, 9266, 8367, 6260, 5044, 1248, 5728, 281, 18627, 1011, 2742, 290, 551, 6189, 429, 18, 15417, 915, 12954, 38854, 22447, 309, 1977, 291, 11817, 309, 478, 293, 35100, 4762, 470, 22691, 1651, 1306, 26590, 320, 401, 1624, 515, 15277, 807, 322, 32268, 519, 18952, 5539, 16, 18397, 281, 45616, 12913, 743, 282, 8999, 18, 6735, 1757, 28067, 7977, 1559, 47487, 42969, 1027, 4966, 9699, 312, 46226, 267, 16, 2396, 8694, 12060, 4744, 820, 18, 2320, 40399, 420, 411, 478, 15995, 1923, 470, 8009, 9788, 39563, 1624, 13190, 8694, 667, 29854, 32737, 282, 478, 267, 809, 304, 470, 8267, 16, 1559, 2992, 33531, 18, 7249, 309, 13270, 16, 478, 29521, 298, 433, 470, 25941, 2712, 309, 15939, 29730, 281, 29523, 48183, 536, 6432, 635, 16, 367, 478, 5495, 750, 470, 8272, 12992, 16, 12113, 309, 3411, 271, 3440, 18, 365, 5271, 24621, 7655, 320, 2033, 685, 26483, 391, 19324, 1624, 32745, 16807, 1779, 282, 12899, 774, 10561, 5514, 1408, 18, 640, 14540, 1307, 28772, 774, 289, 26816, 16, 367, 1038, 2852, 4744, 2449, 334, 24557, 629, 44203, 8316, 3174, 18, 391, 19324, 16, 1763, 1626, 1779, 11166, 17, 306, 46234, 282, 11258, 16, 1559, 7265, 28383, 5790, 16, 367, 2992, 722, 33531, 14449, 774, 34544, 478, 730, 5944, 2266, 23682, 470, 403, 5830, 457, 433, 612, 16, 2396, 8694, 4518, 4744, 2449, 32737, 18, 459, 334, 8872, 1335, 5790, 42969, 1712, 7193, 1055, 22756, 309, 39061, 3230, 2566, 25942, 30, 478, 19253, 637, 46871, 470, 281, 6374, 46414, 21860, 18326, 1756, 17654, 9964, 16, 367, 697, 6020, 382, 8272, 3303, 6205, 281, 25787, 3411, 6425, 18, 18098, 536, 541, 478, 563, 645, 17, 20327, 7900, 470, 1559, 6972, 368, 5002, 2857, 10349, 4111, 349, 430, 18, 8696, 519, 5251, 1809, 949, 16946, 16, 6042, 1510, 294, 3215, 2132, 2683, 1147, 45796, 18, 30858, 742, 1139, 1988, 1652, 46234, 309, 8999, 411, 17, 431, 41727, 5625, 16, 515, 774, 34544, 478, 822, 3748, 267, 470, 817, 280, 1532, 4104, 944, 321, 322, 2564, 20632, 15702, 16, 39359, 22542, 424, 34874, 888, 18, 1367, 578, 451, 774, 541, 19671, 521, 16, 1029, 4223, 371, 20545, 430, 30, 24, 289, 13190, 364, 519, 978, 475, 667, 4744, 2449, 32737, 18, 4824, 411, 1593, 478, 563, 645, 17, 20327, 7900, 470, 282, 1335, 9155, 309, 1595, 2948, 28773, 4137, 37448, 5269, 18, 1787, 11138, 7179, 1307, 28772, 1542, 15277, 807, 2756, 11114, 17, 295, 282, 11258, 18, 1278, 5681, 411, 1110, 16, 1085, 3641, 481, 2048, 478, 21664, 18113, 33960, 910, 2458, 26062, 510, 39914, 14013, 439, 10119, 21710, 1624, 309, 14540, 2024, 1871, 1619, 6676, 10376, 16, 289, 774, 34544, 4210, 12067, 21515, 1624, 41869, 1779, 9817, 16936, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 678, 31754, 8258, 5573, 306, 12437, 18, 21102, 1507, 32709, 539, 678, 5012, 5481, 6232, 342, 12640, 309, 2923, 722, 12480, 20876, 266, 1147, 18, 999, 11910, 1241, 2137, 401, 16643, 975, 3610, 4500, 18, 1671, 18, 20876, 7310, 3508, 22585, 282, 31647, 5573, 306, 34095, 424, 7595, 2280, 10769, 274, 18, 985, 5273, 22204, 16, 491, 4189, 4440, 779, 492, 11326, 6246, 7774, 1058, 16, 4987, 516, 309, 4769, 40368, 9657, 16, 34917, 11142, 454, 16, 11961, 33793, 27187, 289, 4445, 6760, 10890, 22761, 18, 16539, 1912, 18, 646, 492, 685, 726, 282, 4122, 5573, 306, 34095, 282, 47408, 39120, 512, 1212, 42158, 18, 2046, 281, 4183, 4570, 15521, 11910, 492, 322, 2564, 16, 453, 428, 322, 6089, 36622, 6175, 30, 3708, 475, 808, 46722, 334, 8352, 18, 4852, 11888, 4177, 492, 33647, 8641, 541, 13913, 2119, 267, 1731, 18, 640, 2456, 575, 2463, 16, 334, 7475, 14160, 16, 492, 9031, 294, 1241, 2137, 1161, 16, 753, 22632, 5528, 722, 360, 8150, 16, 515, 1543, 9474, 12321, 309, 3177, 18, 20876, 7310, 5264, 294, 5573, 306, 34095, 2364, 1281, 18, 646, 18, 32952, 662, 16, 5938, 30298, 1101, 16, 492, 12983, 282, 16272, 18, 1591, 808, 1810, 492, 8409, 5573, 306, 12437, 4366, 289, 16, 785, 678, 37375, 16, 1293, 445, 11868, 722, 2355, 263, 3328, 35858, 334, 4822, 18, 824, 899, 3833, 1712, 43200, 309, 2468, 18, 640, 5421, 1119, 492, 3619, 32514, 2906, 3610, 4500, 18, 1671, 18, 4852, 1293, 4776, 20876, 7310, 685, 20817, 18, 817, 14403, 282, 281, 7774, 1231, 547, 289, 11836, 309, 1241, 2137, 11118, 428, 309, 23946, 18, 5043, 16, 10188, 492, 9473, 360, 1634, 1280, 16, 33160, 16, 374, 745, 898, 40751, 424, 23057, 18, 365, 12564, 5826, 1360, 18051, 322, 25262, 18, 39442, 25470, 4717, 17, 8844, 960, 724, 2294, 16, 661, 2508, 289, 26900, 25798, 16, 289, 18100, 2848, 16, 36680, 282, 12564, 16, 374, 1251, 2872, 322, 639, 5522, 7739, 19637, 18, 824, 697, 3163, 16, 1241, 2137, 401, 289, 453, 3716, 8278, 332, 2651, 2768, 349, 3636, 348, 43513, 5573, 306, 12437, 18, 1598, 17, 431, 722, 7925, 10172, 15137, 935, 7187, 27991, 33360, 4830, 18, 985, 2271, 2853, 22747, 2203, 26900, 8809, 16, 21135, 381, 16765, 5573, 306, 34095, 16, 1241, 2137, 401, 4056, 9321, 290, 5941, 5848, 14781, 18, 20876, 7310, 575, 16, 334, 697, 3163, 16, 8641, 935, 11475, 4984, 5573, 306, 12437, 30, 334, 21550, 1241, 2137, 1161, 492, 16439, 1450, 9494, 18, 30858, 1157, 26900, 9522, 12002, 16, 374, 21038, 29581, 1086, 10566, 5129, 289, 29913, 309, 38545, 44462, 354, 16, 453, 428, 1551, 322, 15272, 11675, 2675, 22812, 3633, 697, 15463, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 29521, 298, 433, 470, 22985, 396, 15637, 962, 342, 16, 12067, 21515, 289, 439, 10119, 21710, 2760, 6178, 478, 21664, 18113, 948, 470, 294, 1354, 16, 26590, 2477, 22803, 1211, 16, 515, 10645, 505, 478, 15995, 1035, 470, 18131, 1472, 2132, 2683, 16, 367, 1038, 31983, 17, 38114, 1133, 478, 598, 1184, 382, 470, 282, 23557, 4642, 16287, 2069, 837, 282, 29730, 18, 31224, 30, 9489, 1335, 5790, 16, 349, 1754, 14007, 14402, 282, 15640, 423, 478, 29521, 298, 12169, 470, 281, 4055, 17, 277, 21908, 510, 424, 1498, 282, 10434, 11347, 505, 2361, 36132, 27316, 6096, 28468, 512, 1624, 510, 22244, 933, 25467, 2364, 1702, 17543, 329, 18952, 5539, 2820, 13316, 847, 18, 439, 1215, 381, 29641, 1593, 282, 8267, 28468, 512, 17, 14754, 3045, 322, 3837, 16, 581, 289, 478, 684, 2334, 488, 9192, 470, 329, 7367, 16, 5505, 10551, 46234, 9266, 8367, 6260, 5044, 1248, 5728, 281, 18627, 1011, 2742, 290, 551, 6189, 429, 18, 15417, 915, 12954, 38854, 22447, 309, 1977, 291, 11817, 309, 478, 293, 35100, 4762, 470, 22691, 1651, 1306, 26590, 320, 401, 1624, 515, 15277, 807, 322, 32268, 519, 18952, 5539, 16, 18397, 281, 45616, 12913, 743, 282, 8999, 18, 6735, 1757, 28067, 7977, 1559, 47487, 42969, 1027, 4966, 9699, 312, 46226, 267, 16, 2396, 8694, 12060, 4744, 820, 18, 2320, 40399, 420, 411, 478, 15995, 1923, 470, 8009, 9788, 39563, 1624, 13190, 8694, 667, 29854, 32737, 282, 478, 267, 809, 304, 470, 8267, 16, 1559, 2992, 33531, 18, 7249, 309, 13270, 16, 478, 29521, 298, 433, 470, 25941, 2712, 309, 15939, 29730, 281, 29523, 48183, 536, 6432, 635, 16, 367, 478, 5495, 750, 470, 8272, 12992, 16, 12113, 309, 3411, 271, 3440, 18, 365, 5271, 24621, 7655, 320, 2033, 685, 26483, 391, 19324, 1624, 32745, 16807, 1779, 282, 12899, 774, 10561, 5514, 1408, 18, 640, 14540, 1307, 28772, 774, 289, 26816, 16, 367, 1038, 2852, 4744, 2449, 334, 24557, 629, 44203, 8316, 3174, 18, 391, 19324, 16, 1763, 1626, 1779, 11166, 17, 306, 46234, 282, 11258, 16, 1559, 7265, 28383, 5790, 16, 367, 2992, 722, 33531, 14449, 774, 34544, 478, 730, 5944, 2266, 23682, 470, 403, 5830, 457, 433, 612, 16, 2396, 8694, 4518, 4744, 2449, 32737, 18, 459, 334, 8872, 1335, 5790, 42969, 1712, 7193, 1055, 22756, 309, 39061, 3230, 2566, 25942, 30, 478, 19253, 637, 46871, 470, 281, 6374, 46414, 21860, 18326, 1756, 17654, 9964, 16, 367, 697, 6020, 382, 8272, 3303, 6205, 281, 25787, 3411, 6425, 18, 18098, 536, 541, 478, 563, 645, 17, 20327, 7900, 470, 1559, 6972, 368, 5002, 2857, 10349, 4111, 349, 430, 18, 8696, 519, 5251, 1809, 949, 16946, 16, 6042, 1510, 294, 3215, 2132, 2683, 1147, 45796, 18, 30858, 742, 1139, 1988, 1652, 46234, 309, 8999, 411, 17, 431, 41727, 5625, 16, 515, 774, 34544, 478, 822, 3748, 267, 470, 817, 280, 1532, 4104, 944, 321, 322, 2564, 20632, 15702, 16, 39359, 22542, 424, 34874, 888, 18, 1367, 578, 451, 774, 541, 19671, 521, 16, 1029, 4223, 371, 20545, 430, 30, 24, 289, 13190, 364, 519, 978, 475, 667, 4744, 2449, 32737, 18, 4824, 411, 1593, 478, 563, 645, 17, 20327, 7900, 470, 282, 1335, 9155, 309, 1595, 2948, 28773, 4137, 37448, 5269, 18, 1787, 11138, 7179, 1307, 28772, 1542, 15277, 807, 2756, 11114, 17, 295, 282, 11258, 18, 1278, 5681, 411, 1110, 16, 1085, 3641, 481, 2048, 478, 21664, 18113, 33960, 910, 2458, 26062, 510, 39914, 14013, 439, 10119, 21710, 1624, 309, 14540, 2024, 1871, 1619, 6676, 10376, 16, 289, 774, 34544, 4210, 12067, 21515, 1624, 41869, 1779, 9817, 16936, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759 ]
[ 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 3096, 13937, 448, 27692, 1749, 39885, 14769, 22164, 2009, 40043, 871, 20888, 3062, 364, 5269, 16, 35330, 282, 36849, 294, 3496, 1016, 282, 11379, 11350, 17, 476, 3252, 354, 16934, 40896, 7780, 2847, 3340, 18, 27761, 839, 281, 21285, 13156, 16144, 16, 374, 16171, 3089, 505, 18499, 23673, 21476, 18, 31224, 30, 677, 3507, 27692, 1749, 39885, 14769, 22164, 2009, 40043, 871, 20888, 3062, 364, 5269, 16, 1029, 1623, 7265, 5120, 616, 496, 1101, 381, 16765, 282, 11379, 11350, 17, 476, 3252, 354, 16934, 40896, 7780, 2847, 3340, 18, 824, 3761, 478, 16945, 8262, 354, 470, 1624, 26058, 11540, 1533, 3612, 282, 21140, 478, 983, 604, 925, 273, 910, 1029, 3215, 2669, 41967, 3062, 364, 5269, 18, 9114, 5164, 9311, 282, 28963, 289, 34924, 360, 3062, 364, 5269, 32855, 281, 2872, 18, 640, 4625, 3062, 364, 5269, 21661, 2345, 25935, 1051, 289, 8181, 29561, 16, 282, 3198, 1660, 16910, 977, 11741, 1015, 343, 16, 44082, 32992, 18, 37767, 16, 374, 13493, 351, 3457, 289, 26424, 282, 18982, 742, 4621, 18, 2112, 978, 13403, 2508, 37049, 281, 2223, 13631, 1974, 281, 3062, 364, 5269, 18, 5637, 15389, 10015, 6881, 16, 374, 16171, 3089, 14386, 17937, 13493, 18499, 6993, 4179, 538, 382, 18, 824, 13229, 32413, 639, 18966, 11969, 1743, 16, 282, 4301, 2024, 26727, 1684, 1465, 16, 282, 970, 2875, 282, 8303, 16, 2588, 27221, 3062, 364, 5269, 18, 985, 13737, 478, 16945, 8262, 552, 910, 282, 13942, 11257, 7893, 25411, 300, 6617, 16, 282, 970, 2875, 27665, 1133, 34966, 289, 7569, 23834, 10751, 18, 403, 2222, 575, 12374, 16, 374, 282, 3507, 3062, 364, 5269, 48557, 10372, 1398, 334, 850, 436, 8546, 309, 20799, 11303, 5269, 289, 4296, 3716, 9007, 11267, 1089, 1354, 16, 3828, 30572, 7897, 282, 17329, 20043, 18, 3062, 364, 5269, 309, 4862, 6597, 428, 20276, 434, 22164, 2009, 40043, 871, 16, 16258, 48897, 281, 16052, 5781, 634, 791, 389, 432, 34796, 18, 5637, 15389, 478, 16945, 8262, 354, 470, 1038, 12603, 414, 16, 374, 3062, 364, 5269, 31725, 10400, 448, 3361, 281, 478, 1486, 304, 282, 31595, 470, 27402, 12129, 2440, 225, 1116, 473, 789, 14020, 635, 934, 2024, 1038, 39248, 282, 36849, 294, 3496, 1016, 7780, 2847, 3340, 18, 32952, 662, 40896, 7780, 2847, 3340, 16, 1029, 28310, 309, 13012, 282, 11023, 4145, 779, 16, 4243, 3703, 3990, 7847, 779, 282, 5214, 14512, 18, 23480, 931, 282, 20844, 1728, 38261, 5235, 309, 10927, 281, 29108, 12360, 323, 334, 48619, 8450, 355, 42438, 10521, 3259, 1624, 428, 2471, 697, 3515, 1501, 5834, 1135, 282, 49625, 2886, 17886, 22657, 16, 13085, 45476, 289, 23701, 29141, 1165, 18, 43099, 20845, 742, 12139, 9234, 289, 1293, 445, 24729, 9933, 25440, 282, 20691, 289, 505, 25841, 22879, 18, 47070, 742, 7780, 2847, 3340, 5354, 27318, 351, 1507, 4326, 8367, 18, 4852, 6711, 808, 20808, 11268, 16342, 282, 14154, 18, 47090, 16, 374, 7780, 2847, 3340, 11367, 2207, 28410, 8973, 4874, 22533, 16, 1029, 281, 4440, 779, 6820, 282, 10256, 2557, 349, 4419, 5069, 448, 8150, 18, 967, 803, 492, 281, 2604, 779, 1715, 2511, 4776, 12737, 282, 32427, 45174, 2665, 18, 2112, 32887, 382, 371, 4874, 301, 7871, 6371, 34091, 27166, 9275, 5348, 18, 1658, 3802, 7847, 779, 309, 41575, 1484, 18165, 22974, 2665, 9543, 3183, 36542, 3828, 16, 374, 16, 334, 7475, 14160, 16, 11910, 9798, 7179, 11919, 1183, 639, 3504, 536, 18, 478, 732, 656, 45802, 16, 374, 294, 505, 2219, 954, 14694, 4849, 1133, 17187, 7780, 2847, 3340, 290, 41939, 5781, 6114, 309, 2923, 2665, 16, 367, 1038, 334, 6619, 290, 7233, 2539, 263, 17514, 34843, 18, 4635, 541, 924, 16, 753, 322, 15893, 42741, 7780, 2847, 3340, 282, 40357, 289, 5287, 510, 282, 10830, 37508, 16, 7190, 5781, 26205, 38117, 3010, 21785, 22997, 978, 40178, 910, 510, 2815, 3183, 36542, 18, 10351, 33695, 15135, 16, 374, 16, 334, 3761, 14769, 14160, 16, 1804, 12096, 3504, 9364, 10076, 1559, 4137, 12129, 2440, 16, 8851, 2954, 778, 1292, 23276, 7780, 2847, 3340, 15073, 10806, 333, 1161, 18, 478, 789, 306, 2440, 7214, 309, 24552, 289, 15740, 8150, 282, 7544, 309, 14874, 587, 4323, 1437, 360, 26205, 334, 32381, 1195, 22164, 5925, 9251, 483, 1082, 309, 2923, 1175, 289, 2044, 16879, 18, 403, 2222, 575, 16, 492, 5195, 17154, 22586, 541, 10076, 16, 453, 428, 4419, 685, 2954, 1703, 13847, 8880, 7780, 2847, 3340, 15073, 10806, 333, 1161, 910, 510, 2815, 492, 18, 2112, 978, 12679, 2615, 9128, 24979, 14512, 8973, 39390, 34437, 16, 1029, 428, 445, 289, 11836, 309, 3062, 364, 5269, 18, 824, 505, 3163, 16, 12129, 2440, 16, 13025, 13167, 448, 2630, 281, 5034, 758, 3280, 3317, 309, 2923, 2665, 16, 6089, 1631, 16, 2056, 7894, 38275, 10076, 16, 6244, 6726, 289, 8527, 15273, 477, 23418, 1051, 289, 31082, 16, 39967, 2559, 50225, 553, 18, 4149, 16, 428, 4725, 39390, 34437, 16, 289, 1559, 4419, 11451, 1551, 10823, 9690, 17, 7745, 11750, 13097, 13980, 3340, 9543, 3062, 364, 5269, 18, 32952, 662, 7780, 2847, 3340, 510, 322, 15880, 3275, 2844, 17201, 16, 2486, 46067, 4283, 282, 16789, 3062, 364, 5269, 18, 2320, 1038, 6881, 14785, 536, 294, 10271, 1528, 282, 30383, 15465, 14774, 8448, 4669, 4623, 478, 18780, 2362, 470, 18061, 36435, 324, 18, 4429, 23702, 4243, 667, 3597, 4145, 779, 18, 17135, 837, 478, 512, 620, 686, 13870, 470, 17005, 21894, 282, 21140, 478, 48463, 320, 368, 470, 282, 18904, 547, 21520, 478, 22766, 382, 17, 22, 861, 824, 4734, 5781, 994, 13499, 16, 481, 11910, 9245, 281, 31593, 17036, 36435, 324, 18, 478, 19571, 4964, 33709, 1812, 1817, 30334, 5069, 434, 8150, 18, 967, 1838, 5131, 416, 1623, 7785, 3384, 5998, 16, 367, 1038, 322, 5285, 8147, 17721, 25145, 15367, 3361, 910, 510, 8977, 8818, 5854, 29343, 434, 1530, 343, 33515, 7920, 1175, 473, 35900, 6778, 9409, 14959, 5055, 18, 1598, 33014, 22747, 837, 36435, 324, 12097, 403, 7558, 6318, 1624, 1029, 21036, 282, 3198, 23543, 282, 21140, 16, 3014, 16, 374, 282, 48964, 20452, 1552, 2232, 4765, 334, 7546, 7321, 18, 14959, 5055, 1038, 38349, 16, 374, 20808, 685, 8522, 2530, 312, 353, 1390, 16, 329, 1047, 898, 17101, 448, 16958, 16, 492, 1038, 16439, 27036, 13437, 281, 3806, 1908, 26811, 1993, 6205, 4188, 6425, 289, 43474, 597, 18, 2, 1, 87, 1456, 81, 2448, 30, 41981, 13829, 4473, 19345, 9778, 778 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 3096, 13937, 448, 27692, 1749, 39885, 14769, 22164, 2009, 40043, 871, 20888, 3062, 364, 5269, 16, 35330, 282, 36849, 294, 3496, 1016, 282, 11379, 11350, 17, 476, 3252, 354, 16934, 40896, 7780, 2847, 3340, 18, 27761, 839, 281, 21285, 13156, 16144, 16, 374, 16171, 3089, 505, 18499, 23673, 21476, 18, 31224, 30, 677, 3507, 27692, 1749, 39885, 14769, 22164, 2009, 40043, 871, 20888, 3062, 364, 5269, 16, 1029, 1623, 7265, 5120, 616, 496, 1101, 381, 16765, 282, 11379, 11350, 17, 476, 3252, 354, 16934, 40896, 7780, 2847, 3340, 18, 824, 3761, 478, 16945, 8262, 354, 470, 1624, 26058, 11540, 1533, 3612, 282, 21140, 478, 983, 604, 925, 273, 910, 1029, 3215, 2669, 41967, 3062, 364, 5269, 18, 9114, 5164, 9311, 282, 28963, 289, 34924, 360, 3062, 364, 5269, 32855, 281, 2872, 18, 640, 4625, 3062, 364, 5269, 21661, 2345, 25935, 1051, 289, 8181, 29561, 16, 282, 3198, 1660, 16910, 977, 11741, 1015, 343, 16, 44082, 32992, 18, 37767, 16, 374, 13493, 351, 3457, 289, 26424, 282, 18982, 742, 4621, 18, 2112, 978, 13403, 2508, 37049, 281, 2223, 13631, 1974, 281, 3062, 364, 5269, 18, 5637, 15389, 10015, 6881, 16, 374, 16171, 3089, 14386, 17937, 13493, 18499, 6993, 4179, 538, 382, 18, 824, 13229, 32413, 639, 18966, 11969, 1743, 16, 282, 4301, 2024, 26727, 1684, 1465, 16, 282, 970, 2875, 282, 8303, 16, 2588, 27221, 3062, 364, 5269, 18, 985, 13737, 478, 16945, 8262, 552, 910, 282, 13942, 11257, 7893, 25411, 300, 6617, 16, 282, 970, 2875, 27665, 1133, 34966, 289, 7569, 23834, 10751, 18, 403, 2222, 575, 12374, 16, 374, 282, 3507, 3062, 364, 5269, 48557, 10372, 1398, 334, 850, 436, 8546, 309, 20799, 11303, 5269, 289, 4296, 3716, 9007, 11267, 1089, 1354, 16, 3828, 30572, 7897, 282, 17329, 20043, 18, 3062, 364, 5269, 309, 4862, 6597, 428, 20276, 434, 22164, 2009, 40043, 871, 16, 16258, 48897, 281, 16052, 5781, 634, 791, 389, 432, 34796, 18, 5637, 15389, 478, 16945, 8262, 354, 470, 1038, 12603, 414, 16, 374, 3062, 364, 5269, 31725, 10400, 448, 3361, 281, 478, 1486, 304, 282, 31595, 470, 27402, 12129, 2440, 225, 1116, 473, 789, 14020, 635, 934, 2024, 1038, 39248, 282, 36849, 294, 3496, 1016, 7780, 2847, 3340, 18, 32952, 662, 40896, 7780, 2847, 3340, 16, 1029, 28310, 309, 13012, 282, 11023, 4145, 779, 16, 4243, 3703, 3990, 7847, 779, 282, 5214, 14512, 18, 23480, 931, 282, 20844, 1728, 38261, 5235, 309, 10927, 281, 29108, 12360, 323, 334, 48619, 8450, 355, 42438, 10521, 3259, 1624, 428, 2471, 697, 3515, 1501, 5834, 1135, 282, 49625, 2886, 17886, 22657, 16, 13085, 45476, 289, 23701, 29141, 1165, 18, 43099, 20845, 742, 12139, 9234, 289, 1293, 445, 24729, 9933, 25440, 282, 20691, 289, 505, 25841, 22879, 18, 47070, 742, 7780, 2847, 3340, 5354, 27318, 351, 1507, 4326, 8367, 18, 4852, 6711, 808, 20808, 11268, 16342, 282, 14154, 18, 47090, 16, 374, 7780, 2847, 3340, 11367, 2207, 28410, 8973, 4874, 22533, 16, 1029, 281, 4440, 779, 6820, 282, 10256, 2557, 349, 4419, 5069, 448, 8150, 18, 967, 803, 492, 281, 2604, 779, 1715, 2511, 4776, 12737, 282, 32427, 45174, 2665, 18, 2112, 32887, 382, 371, 4874, 301, 7871, 6371, 34091, 27166, 9275, 5348, 18, 1658, 3802, 7847, 779, 309, 41575, 1484, 18165, 22974, 2665, 9543, 3183, 36542, 3828, 16, 374, 16, 334, 7475, 14160, 16, 11910, 9798, 7179, 11919, 1183, 639, 3504, 536, 18, 478, 732, 656, 45802, 16, 374, 294, 505, 2219, 954, 14694, 4849, 1133, 17187, 7780, 2847, 3340, 290, 41939, 5781, 6114, 309, 2923, 2665, 16, 367, 1038, 334, 6619, 290, 7233, 2539, 263, 17514, 34843, 18, 4635, 541, 924, 16, 753, 322, 15893, 42741, 7780, 2847, 3340, 282, 40357, 289, 5287, 510, 282, 10830, 37508, 16, 7190, 5781, 26205, 38117, 3010, 21785, 22997, 978, 40178, 910, 510, 2815, 3183, 36542, 18, 10351, 33695, 15135, 16, 374, 16, 334, 3761, 14769, 14160, 16, 1804, 12096, 3504, 9364, 10076, 1559, 4137, 12129, 2440, 16, 8851, 2954, 778, 1292, 23276, 7780, 2847, 3340, 15073, 10806, 333, 1161, 18, 478, 789, 306, 2440, 7214, 309, 24552, 289, 15740, 8150, 282, 7544, 309, 14874, 587, 4323, 1437, 360, 26205, 334, 32381, 1195, 22164, 5925, 9251, 483, 1082, 309, 2923, 1175, 289, 2044, 16879, 18, 403, 2222, 575, 16, 492, 5195, 17154, 22586, 541, 10076, 16, 453, 428, 4419, 685, 2954, 1703, 13847, 8880, 7780, 2847, 3340, 15073, 10806, 333, 1161, 910, 510, 2815, 492, 18, 2112, 978, 12679, 2615, 9128, 24979, 14512, 8973, 39390, 34437, 16, 1029, 428, 445, 289, 11836, 309, 3062, 364, 5269, 18, 824, 505, 3163, 16, 12129, 2440, 16, 13025, 13167, 448, 2630, 281, 5034, 758, 3280, 3317, 309, 2923, 2665, 16, 6089, 1631, 16, 2056, 7894, 38275, 10076, 16, 6244, 6726, 289, 8527, 15273, 477, 23418, 1051, 289, 31082, 16, 39967, 2559, 50225, 553, 18, 4149, 16, 428, 4725, 39390, 34437, 16, 289, 1559, 4419, 11451, 1551, 10823, 9690, 17, 7745, 11750, 13097, 13980, 3340, 9543, 3062, 364, 5269, 18, 32952, 662, 7780, 2847, 3340, 510, 322, 15880, 3275, 2844, 17201, 16, 2486, 46067, 4283, 282, 16789, 3062, 364, 5269, 18, 2320, 1038, 6881, 14785, 536, 294, 10271, 1528, 282, 30383, 15465, 14774, 8448, 4669, 4623, 478, 18780, 2362, 470, 18061, 36435, 324, 18, 4429, 23702, 4243, 667, 3597, 4145, 779, 18, 17135, 837, 478, 512, 620, 686, 13870, 470, 17005, 21894, 282, 21140, 478, 48463, 320, 368, 470, 282, 18904, 547, 21520, 478, 22766, 382, 17, 22, 861, 824, 4734, 5781, 994, 13499, 16, 481, 11910, 9245, 281, 31593, 17036, 36435, 324, 18, 478, 19571, 4964, 33709, 1812, 1817, 30334, 5069, 434, 8150, 18, 967, 1838, 5131, 416, 1623, 7785, 3384, 5998, 16, 367, 1038, 322, 5285, 8147, 17721, 25145, 15367, 3361, 910, 510, 8977, 8818, 5854, 29343, 434, 1530, 343, 33515, 7920, 1175, 473, 35900, 6778, 9409, 14959, 5055, 18, 1598, 33014, 22747, 837, 36435, 324, 12097, 403, 7558, 6318, 1624, 1029, 21036, 282, 3198, 23543, 282, 21140, 16, 3014, 16, 374, 282, 48964, 20452, 1552, 2232, 4765, 334, 7546, 7321, 18, 14959, 5055, 1038, 38349, 16, 374, 20808, 685, 8522, 2530, 312, 353, 1390, 16, 329, 1047, 898, 17101, 448, 16958, 16, 492, 1038, 16439, 27036, 13437, 281, 3806, 1908, 26811, 1993, 6205, 4188, 6425, 289, 43474, 597, 18, 2, 1, 87, 1456, 81, 2448, 30, 41981, 13829, 4473, 19345, 9778, 778 ]
[ 2452, 2693, 938, 274, 478, 672, 11164, 485, 13879, 30, 16268, 7325, 910, 1029, 3164, 282, 16571, 281, 5021, 779, 18, 40788, 6048, 1807, 27691, 2301, 30782, 5722, 680, 3502, 460, 936, 478, 672, 11164, 485, 14193, 470, 281, 19475, 1683, 19501, 304, 289, 31793, 547, 49487, 286, 3032, 282, 10235, 42558, 18, 31224, 30, 21837, 27153, 778, 2693, 2021, 478, 672, 11164, 485, 14193, 816, 470, 475, 17, 2767, 840, 33974, 289, 11981, 309, 38500, 282, 3998, 25831, 779, 18, 5890, 1559, 13829, 1715, 7970, 9778, 778, 2452, 9756, 10398, 10235, 8460, 3502, 460, 936, 608, 732, 26413, 8454, 1004, 289, 37513, 49487, 8590, 18, 478, 672, 11164, 485, 14193, 816, 470, 6535, 282, 16571, 281, 5021, 779, 289, 5684, 5267, 478, 672, 11164, 485, 14193, 30, 16268, 7325, 861, 365, 4145, 17, 277, 10167, 2776, 2165, 363, 1624, 18763, 451, 4419, 541, 2268, 4767, 33057, 16, 9170, 13449, 11132, 16, 2686, 9744, 281, 9440, 4309, 10416, 3768, 18, 365, 6031, 38699, 1188, 4844, 332, 4439, 288, 24176, 16, 367, 2776, 2165, 363, 10218, 16, 374, 19222, 484, 5930, 761, 449, 5983, 343, 584, 7357, 501, 41384, 8736, 343, 478, 41342, 280, 861, 2877, 20295, 778, 3059, 5115, 1552, 530, 34314, 1133, 5930, 6951, 4508, 696, 9060, 1870, 818, 289, 25637, 300, 727, 300, 332, 18, 33839, 35050, 21580, 788, 16151, 282, 3106, 19279, 16275, 18, 19432, 49487, 9192, 289, 43609, 19501, 34524, 282, 1325, 5107, 1904, 1514, 13873, 21208, 18, 44510, 1502, 294, 47764, 5301, 26060, 504, 628, 1458, 18, 24499, 3665, 16, 374, 294, 19475, 1528, 8454, 1306, 289, 2101, 12437, 49487, 286, 1508, 15769, 23905, 3720, 12805, 5721, 1624, 9131, 44870, 33072, 1957, 267, 289, 30231, 12857, 2467, 18, 3739, 2197, 13036, 19163, 10247, 10167, 43360, 823, 15573, 1038, 14828, 282, 5703, 12063, 528, 9698, 347, 16, 18479, 13156, 1902, 559, 26504, 18, 33072, 1957, 267, 16, 12805, 5721, 289, 12857, 2467, 16004, 30344, 16, 1635, 397, 1035, 2179, 848, 14570, 5722, 1880, 30103, 16, 2486, 47724, 477, 11553, 47864, 478, 672, 11164, 408, 19707, 910, 785, 282, 4809, 1134, 10012, 7969, 20889, 18, 3492, 575, 840, 282, 5703, 8300, 40301, 16, 1055, 10480, 18, 2112, 924, 16, 428, 3720, 12805, 5721, 12679, 282, 5703, 40301, 1241, 5097, 282, 478, 1009, 1905, 432, 16702, 470, 1624, 492, 1559, 20227, 7033, 33531, 281, 941, 2446, 353, 282, 478, 1140, 4550, 512, 2529, 470, 289, 478, 7798, 42645, 7478, 491, 861, 24685, 2749, 12805, 5721, 26793, 294, 9778, 2818, 35731, 478, 28259, 46749, 470, 289, 282, 4675, 808, 1623, 3348, 411, 10235, 32738, 24652, 18, 365, 5975, 808, 33072, 1957, 267, 906, 33164, 282, 12884, 1059, 980, 8420, 5427, 478, 31143, 798, 34356, 470, 289, 35020, 478, 2176, 24751, 4686, 470, 281, 22660, 2549, 30301, 611, 18, 20155, 431, 12857, 5097, 942, 4976, 282, 5703, 10399, 675, 282, 4332, 547, 43534, 478, 26157, 551, 4130, 271, 910, 367, 4419, 492, 31715, 282, 478, 33929, 680, 3182, 43531, 470, 289, 478, 1916, 4642, 861, 7200, 6793, 7756, 478, 672, 11164, 485, 14193, 470, 4223, 309, 38500, 764, 282, 11097, 1045, 18, 40788, 7356, 43546, 15364, 289, 46049, 7785, 4118, 15174, 16, 367, 1038, 2756, 12584, 536, 15178, 9116, 547, 282, 24087, 27470, 39172, 30219, 274, 18, 365, 12884, 5371, 751, 1655, 764, 322, 2410, 16108, 43609, 19501, 16, 1782, 264, 11005, 289, 19432, 49487, 9192, 18, 1591, 808, 42326, 329, 7620, 16248, 36703, 969, 45233, 18795, 311, 2804, 281, 30219, 339, 411, 17, 431, 1791, 477, 7459, 16362, 18, 9873, 978, 38699, 46360, 10735, 485, 7143, 448, 13756, 16, 289, 2391, 30219, 274, 2669, 685, 1472, 1176, 1119, 309, 10276, 454, 15447, 16, 309, 2588, 282, 1888, 4190, 25627, 373, 2846, 2299, 18, 365, 6031, 20295, 18124, 1475, 6906, 1595, 19304, 16, 1472, 373, 322, 387, 14663, 34034, 15447, 411, 8621, 18, 999, 1421, 2299, 519, 9512, 42326, 1251, 22004, 1683, 30219, 339, 289, 19475, 1683, 19501, 304, 11540, 2886, 411, 17, 431, 5462, 382, 8621, 16, 282, 1754, 11175, 8454, 1004, 2548, 2101, 12437, 49487, 286, 1508, 30, 478, 1358, 6540, 1315, 861, 29658, 19501, 7214, 281, 1335, 834, 14325, 16, 515, 5747, 42446, 289, 1109, 16, 374, 322, 840, 44584, 978, 18, 1937, 329, 1129, 8477, 1223, 1760, 1879, 16, 753, 10205, 16996, 16, 504, 4013, 1109, 8454, 1306, 16, 374, 670, 745, 38075, 2089, 16996, 16, 670, 6793, 5702, 749, 21451, 16, 453, 428, 329, 1129, 685, 6993, 40319, 24724, 18, 365, 6031, 12030, 6605, 309, 6867, 2165, 282, 20295, 1212, 16025, 452, 18, 478, 672, 11164, 485, 14193, 470, 26096, 282, 30681, 13006, 464, 4843, 3940, 21, 3763, 371, 38204, 1223, 4843, 1618, 3763, 18, 9176, 266, 14485, 24079, 6773, 282, 17979, 608, 15044, 8454, 1004, 289, 37513, 49487, 8590, 8246, 48650, 43374, 16, 2686, 24176, 697, 26717, 12503, 519, 8311, 779, 18, 478, 672, 11164, 485, 14193, 491, 470, 5823, 3215, 17356, 536, 42431, 18, 15522, 2696, 7143, 12076, 4843, 39775, 3763, 16, 289, 764, 4843, 5041, 3763, 25627, 309, 23452, 18, 24491, 17379, 282, 2968, 4843, 6462, 23, 3763, 16, 9737, 24691, 20495, 289, 45828, 275, 13729, 516, 7512, 18, 365, 11097, 1045, 19209, 504, 4013, 3619, 349, 478, 672, 11164, 408, 19707, 470, 24982, 26038, 3451, 9440, 2477, 2145, 18, 2112, 9792, 478, 16846, 845, 470, 19886, 2992, 16987, 4871, 510, 478, 563, 9548, 470, 281, 35339, 304, 9126, 2266, 339, 289, 1034, 1305, 2124, 404, 312, 1624, 1029, 371, 38204, 282, 4843, 8564, 3763, 5568, 21017, 1505, 35263, 309, 7512, 282, 4843, 23, 6654, 3763, 18, 2112, 978, 20295, 1559, 10348, 6149, 6836, 309, 1635, 348, 306, 24690, 432, 8736, 1165, 289, 3836, 567, 808, 42326, 9405, 3400, 6246, 599, 1832, 10944, 18, 2776, 17746, 39172, 30219, 274, 42572, 4426, 35762, 1147, 20919, 29969, 2188, 432, 36716, 16, 26761, 289, 6993, 41901, 6246, 599, 1832, 508, 2675, 16, 27133, 12310, 10276, 1876, 289, 1635, 825, 867, 864, 3193, 18, 385, 10045, 382, 478, 672, 11164, 408, 19707, 816, 470, 38348, 726, 282, 282, 10841, 13111, 779, 16, 367, 21492, 5797, 26955, 38699, 3029, 5481, 309, 2123, 3612, 25831, 17, 361, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 1659, 27254, 470, 282, 15301, 290, 551, 6189, 482, 50253, 478, 983, 1554, 1452, 470, 282, 33762, 8267, 430, 19, 28, 21451, 22979, 17, 21131, 42361, 18, 478, 780, 339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2452, 2693, 938, 274, 478, 672, 11164, 485, 13879, 30, 16268, 7325, 910, 1029, 3164, 282, 16571, 281, 5021, 779, 18, 40788, 6048, 1807, 27691, 2301, 30782, 5722, 680, 3502, 460, 936, 478, 672, 11164, 485, 14193, 470, 281, 19475, 1683, 19501, 304, 289, 31793, 547, 49487, 286, 3032, 282, 10235, 42558, 18, 31224, 30, 21837, 27153, 778, 2693, 2021, 478, 672, 11164, 485, 14193, 816, 470, 475, 17, 2767, 840, 33974, 289, 11981, 309, 38500, 282, 3998, 25831, 779, 18, 5890, 1559, 13829, 1715, 7970, 9778, 778, 2452, 9756, 10398, 10235, 8460, 3502, 460, 936, 608, 732, 26413, 8454, 1004, 289, 37513, 49487, 8590, 18, 478, 672, 11164, 485, 14193, 816, 470, 6535, 282, 16571, 281, 5021, 779, 289, 5684, 5267, 478, 672, 11164, 485, 14193, 30, 16268, 7325, 861, 365, 4145, 17, 277, 10167, 2776, 2165, 363, 1624, 18763, 451, 4419, 541, 2268, 4767, 33057, 16, 9170, 13449, 11132, 16, 2686, 9744, 281, 9440, 4309, 10416, 3768, 18, 365, 6031, 38699, 1188, 4844, 332, 4439, 288, 24176, 16, 367, 2776, 2165, 363, 10218, 16, 374, 19222, 484, 5930, 761, 449, 5983, 343, 584, 7357, 501, 41384, 8736, 343, 478, 41342, 280, 861, 2877, 20295, 778, 3059, 5115, 1552, 530, 34314, 1133, 5930, 6951, 4508, 696, 9060, 1870, 818, 289, 25637, 300, 727, 300, 332, 18, 33839, 35050, 21580, 788, 16151, 282, 3106, 19279, 16275, 18, 19432, 49487, 9192, 289, 43609, 19501, 34524, 282, 1325, 5107, 1904, 1514, 13873, 21208, 18, 44510, 1502, 294, 47764, 5301, 26060, 504, 628, 1458, 18, 24499, 3665, 16, 374, 294, 19475, 1528, 8454, 1306, 289, 2101, 12437, 49487, 286, 1508, 15769, 23905, 3720, 12805, 5721, 1624, 9131, 44870, 33072, 1957, 267, 289, 30231, 12857, 2467, 18, 3739, 2197, 13036, 19163, 10247, 10167, 43360, 823, 15573, 1038, 14828, 282, 5703, 12063, 528, 9698, 347, 16, 18479, 13156, 1902, 559, 26504, 18, 33072, 1957, 267, 16, 12805, 5721, 289, 12857, 2467, 16004, 30344, 16, 1635, 397, 1035, 2179, 848, 14570, 5722, 1880, 30103, 16, 2486, 47724, 477, 11553, 47864, 478, 672, 11164, 408, 19707, 910, 785, 282, 4809, 1134, 10012, 7969, 20889, 18, 3492, 575, 840, 282, 5703, 8300, 40301, 16, 1055, 10480, 18, 2112, 924, 16, 428, 3720, 12805, 5721, 12679, 282, 5703, 40301, 1241, 5097, 282, 478, 1009, 1905, 432, 16702, 470, 1624, 492, 1559, 20227, 7033, 33531, 281, 941, 2446, 353, 282, 478, 1140, 4550, 512, 2529, 470, 289, 478, 7798, 42645, 7478, 491, 861, 24685, 2749, 12805, 5721, 26793, 294, 9778, 2818, 35731, 478, 28259, 46749, 470, 289, 282, 4675, 808, 1623, 3348, 411, 10235, 32738, 24652, 18, 365, 5975, 808, 33072, 1957, 267, 906, 33164, 282, 12884, 1059, 980, 8420, 5427, 478, 31143, 798, 34356, 470, 289, 35020, 478, 2176, 24751, 4686, 470, 281, 22660, 2549, 30301, 611, 18, 20155, 431, 12857, 5097, 942, 4976, 282, 5703, 10399, 675, 282, 4332, 547, 43534, 478, 26157, 551, 4130, 271, 910, 367, 4419, 492, 31715, 282, 478, 33929, 680, 3182, 43531, 470, 289, 478, 1916, 4642, 861, 7200, 6793, 7756, 478, 672, 11164, 485, 14193, 470, 4223, 309, 38500, 764, 282, 11097, 1045, 18, 40788, 7356, 43546, 15364, 289, 46049, 7785, 4118, 15174, 16, 367, 1038, 2756, 12584, 536, 15178, 9116, 547, 282, 24087, 27470, 39172, 30219, 274, 18, 365, 12884, 5371, 751, 1655, 764, 322, 2410, 16108, 43609, 19501, 16, 1782, 264, 11005, 289, 19432, 49487, 9192, 18, 1591, 808, 42326, 329, 7620, 16248, 36703, 969, 45233, 18795, 311, 2804, 281, 30219, 339, 411, 17, 431, 1791, 477, 7459, 16362, 18, 9873, 978, 38699, 46360, 10735, 485, 7143, 448, 13756, 16, 289, 2391, 30219, 274, 2669, 685, 1472, 1176, 1119, 309, 10276, 454, 15447, 16, 309, 2588, 282, 1888, 4190, 25627, 373, 2846, 2299, 18, 365, 6031, 20295, 18124, 1475, 6906, 1595, 19304, 16, 1472, 373, 322, 387, 14663, 34034, 15447, 411, 8621, 18, 999, 1421, 2299, 519, 9512, 42326, 1251, 22004, 1683, 30219, 339, 289, 19475, 1683, 19501, 304, 11540, 2886, 411, 17, 431, 5462, 382, 8621, 16, 282, 1754, 11175, 8454, 1004, 2548, 2101, 12437, 49487, 286, 1508, 30, 478, 1358, 6540, 1315, 861, 29658, 19501, 7214, 281, 1335, 834, 14325, 16, 515, 5747, 42446, 289, 1109, 16, 374, 322, 840, 44584, 978, 18, 1937, 329, 1129, 8477, 1223, 1760, 1879, 16, 753, 10205, 16996, 16, 504, 4013, 1109, 8454, 1306, 16, 374, 670, 745, 38075, 2089, 16996, 16, 670, 6793, 5702, 749, 21451, 16, 453, 428, 329, 1129, 685, 6993, 40319, 24724, 18, 365, 6031, 12030, 6605, 309, 6867, 2165, 282, 20295, 1212, 16025, 452, 18, 478, 672, 11164, 485, 14193, 470, 26096, 282, 30681, 13006, 464, 4843, 3940, 21, 3763, 371, 38204, 1223, 4843, 1618, 3763, 18, 9176, 266, 14485, 24079, 6773, 282, 17979, 608, 15044, 8454, 1004, 289, 37513, 49487, 8590, 8246, 48650, 43374, 16, 2686, 24176, 697, 26717, 12503, 519, 8311, 779, 18, 478, 672, 11164, 485, 14193, 491, 470, 5823, 3215, 17356, 536, 42431, 18, 15522, 2696, 7143, 12076, 4843, 39775, 3763, 16, 289, 764, 4843, 5041, 3763, 25627, 309, 23452, 18, 24491, 17379, 282, 2968, 4843, 6462, 23, 3763, 16, 9737, 24691, 20495, 289, 45828, 275, 13729, 516, 7512, 18, 365, 11097, 1045, 19209, 504, 4013, 3619, 349, 478, 672, 11164, 408, 19707, 470, 24982, 26038, 3451, 9440, 2477, 2145, 18, 2112, 9792, 478, 16846, 845, 470, 19886, 2992, 16987, 4871, 510, 478, 563, 9548, 470, 281, 35339, 304, 9126, 2266, 339, 289, 1034, 1305, 2124, 404, 312, 1624, 1029, 371, 38204, 282, 4843, 8564, 3763, 5568, 21017, 1505, 35263, 309, 7512, 282, 4843, 23, 6654, 3763, 18, 2112, 978, 20295, 1559, 10348, 6149, 6836, 309, 1635, 348, 306, 24690, 432, 8736, 1165, 289, 3836, 567, 808, 42326, 9405, 3400, 6246, 599, 1832, 10944, 18, 2776, 17746, 39172, 30219, 274, 42572, 4426, 35762, 1147, 20919, 29969, 2188, 432, 36716, 16, 26761, 289, 6993, 41901, 6246, 599, 1832, 508, 2675, 16, 27133, 12310, 10276, 1876, 289, 1635, 825, 867, 864, 3193, 18, 385, 10045, 382, 478, 672, 11164, 408, 19707, 816, 470, 38348, 726, 282, 282, 10841, 13111, 779, 16, 367, 21492, 5797, 26955, 38699, 3029, 5481, 309, 2123, 3612, 25831, 17, 361, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 1659, 27254, 470, 282, 15301, 290, 551, 6189, 482, 50253, 478, 983, 1554, 1452, 470, 282, 33762, 8267, 430, 19, 28, 21451, 22979, 17, 21131, 42361, 18, 478, 780, 339 ]
[ 32733, 470, 309, 29510, 30482, 16536, 364, 478, 684, 13566, 872, 267, 861, 478, 630, 2561, 292, 3372, 470, 282, 7814, 12626, 555, 21094, 285, 44349, 343, 45300, 332, 478, 780, 339, 32733, 910, 367, 478, 50157, 354, 470, 906, 7081, 478, 4580, 488, 12841, 861, 31224, 30, 27064, 447, 430, 19, 28, 22979, 17, 21131, 42361, 19911, 414, 13231, 1027, 334, 1874, 1918, 1324, 2607, 282, 34456, 16, 988, 478, 983, 2679, 32248, 470, 16831, 478, 983, 1554, 1452, 861, 1681, 11607, 3328, 18774, 29462, 33272, 1011, 9764, 282, 14515, 9547, 639, 2003, 11757, 2666, 16432, 289, 567, 7422, 9410, 39566, 35107, 18, 2046, 481, 5121, 322, 453, 1139, 18, 640, 7266, 3437, 3303, 4325, 478, 983, 1554, 1452, 470, 322, 687, 6691, 7831, 16, 515, 289, 31559, 935, 4296, 5199, 18, 6290, 5897, 5966, 11274, 635, 4466, 7193, 13536, 17895, 31816, 14393, 1909, 329, 478, 1659, 27254, 470, 1488, 12994, 18, 740, 29462, 33272, 10587, 32893, 1423, 8616, 309, 13180, 14596, 16, 282, 1754, 478, 983, 2679, 32248, 470, 8782, 844, 326, 18101, 2418, 12994, 5, 15193, 339, 5790, 1559, 39425, 9020, 440, 4218, 431, 282, 3968, 1484, 2887, 478, 14375, 30541, 470, 19574, 18389, 510, 391, 4013, 266, 24016, 2612, 18, 4635, 505, 3703, 26654, 282, 35962, 22230, 25822, 582, 20800, 478, 1659, 27254, 470, 8662, 282, 290, 551, 6189, 277, 18, 478, 1659, 27254, 21604, 32248, 470, 510, 478, 983, 1554, 1452, 2387, 267, 470, 510, 2418, 22, 30, 4234, 24, 27409, 473, 4691, 30, 6475, 16, 11114, 30, 6894, 16, 1281, 30, 6894, 16, 6603, 30, 6462, 16, 5741, 30, 6091, 13, 478, 780, 339, 32733, 528, 3394, 288, 5622, 470, 510, 478, 1098, 397, 17, 43469, 10051, 293, 872, 267, 470, 510, 39333, 30, 17819, 473, 7536, 30, 4691, 16, 2511, 30, 5759, 16, 2706, 30, 2932, 16, 11114, 30, 3902, 13, 478, 50157, 354, 6939, 1285, 267, 470, 510, 478, 4580, 488, 2334, 378, 4013, 3045, 267, 470, 510, 6374, 30, 14184, 473, 6462, 30, 3940, 16, 4055, 30, 3902, 16, 3695, 30, 1618, 16, 1760, 30, 2932, 13, 478, 1916, 957, 10868, 19505, 305, 267, 470, 510, 478, 630, 2561, 292, 3372, 17, 34519, 9226, 868, 470, 510, 25898, 30, 2479, 24, 473, 1618, 30, 8799, 16, 2555, 30, 6462, 16, 4055, 30, 3940, 16, 2706, 30, 5493, 13, 24016, 2612, 1763, 6310, 309, 3591, 5852, 510, 289, 16, 424, 15480, 3561, 16, 289, 2059, 3969, 281, 1771, 607, 16, 289, 281, 15705, 979, 18, 5057, 274, 505, 6653, 10763, 47527, 4744, 2449, 16, 38331, 7646, 5402, 6727, 2776, 11425, 878, 1139, 43550, 5729, 18, 365, 27283, 808, 24016, 2612, 3424, 685, 309, 13179, 16, 515, 282, 481, 808, 282, 594, 404, 478, 9256, 267, 470, 478, 33516, 1309, 470, 10167, 44514, 18, 4635, 505, 37700, 6972, 368, 281, 38374, 323, 282, 10198, 478, 332, 38922, 470, 15272, 25107, 16119, 2795, 5510, 1552, 16, 289, 15092, 290, 551, 6189, 277, 567, 2992, 4256, 25822, 582, 18, 740, 289, 2992, 25778, 44368, 322, 8664, 364, 36579, 289, 282, 2344, 2222, 16, 3226, 575, 16, 44514, 18, 9300, 12954, 282, 970, 575, 10198, 16, 374, 289, 282, 2615, 445, 16, 14212, 11216, 282, 14274, 478, 983, 2679, 32248, 861, 39693, 26123, 37358, 31754, 282, 15301, 290, 551, 6189, 482, 16, 1029, 11623, 17060, 478, 1659, 27254, 861, 24016, 2612, 575, 1559, 3818, 1619, 12310, 28067, 4966, 16, 2581, 7678, 12060, 46414, 18, 608, 478, 983, 1554, 4086, 470, 46459, 10988, 356, 42315, 281, 9817, 3411, 6425, 289, 1533, 3012, 4334, 18, 2112, 1335, 9764, 478, 983, 2679, 32248, 470, 45420, 282, 7756, 477, 12932, 816, 17, 21, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1659, 27254, 470, 510, 478, 983, 1554, 1452, 861, 27498, 811, 23635, 1119, 12496, 635, 1251, 478, 780, 339, 32733, 304, 470, 289, 478, 684, 13566, 872, 267, 861, 4922, 17786, 7155, 3453, 12549, 1734, 2496, 1209, 18, 14587, 1272, 7977, 282, 19280, 17, 46013, 6228, 478, 1009, 3394, 288, 5622, 470, 8782, 844, 326, 322, 2410, 18397, 18, 2046, 16, 785, 17786, 37510, 282, 41146, 32733, 16, 3877, 472, 16270, 13426, 289, 9840, 11819, 380, 1373, 575, 48056, 290, 1617, 4816, 33221, 18, 365, 35962, 9155, 1635, 762, 499, 839, 478, 1009, 3394, 288, 5622, 470, 898, 309, 2398, 7081, 7658, 478, 684, 13566, 872, 267, 910, 32471, 334, 3436, 26654, 18, 981, 289, 282, 13441, 478, 780, 339, 32733, 272, 470, 3225, 8782, 18070, 3230, 10773, 20703, 18, 32310, 510, 16536, 289, 2948, 282, 7756, 491, 17, 22, 18, 478, 50157, 354, 470, 1011, 1949, 46512, 282, 1540, 488, 2334, 22160, 409, 3210, 11642, 34271, 45676, 478, 4580, 488, 4172, 861, 478, 33734, 1285, 267, 470, 424, 38313, 1518, 625, 332, 14816, 41023, 322, 7863, 25107, 537, 13523, 39440, 18, 439, 2767, 329, 21166, 2466, 18309, 312, 450, 2243, 898, 309, 3591, 5852, 18, 478, 672, 4013, 3045, 267, 470, 575, 1745, 322, 3005, 3670, 16, 374, 3621, 18, 439, 481, 322, 453, 289, 7339, 651, 349, 2948, 2236, 43430, 33541, 4525, 6416, 21975, 26070, 22979, 17, 21131, 18, 4950, 16, 2091, 16, 10229, 289, 37970, 21094, 419, 18, 740, 492, 2410, 26883, 5442, 286, 18, 13191, 328, 483, 8518, 47479, 12626, 555, 21094, 285, 44349, 343, 478, 630, 2561, 292, 3372, 470, 1011, 1949, 13939, 2566, 18552, 282, 4446, 294, 478, 1916, 957, 285, 4681, 861, 4320, 478, 789, 27647, 470, 764, 322, 6898, 9124, 1920, 749, 21094, 285, 44349, 343, 16, 1029, 349, 2846, 779, 322, 25521, 537, 2236, 7977, 18, 35652, 4847, 659, 272, 309, 965, 4445, 42255, 12653, 13389, 16, 360, 513, 890, 1779, 349, 965, 289, 349, 924, 12626, 555, 18, 37540, 478, 630, 2561, 3792, 276, 470, 282, 11877, 685, 1139, 309, 13179, 18, 817, 1763, 6310, 289, 281, 1771, 607, 16, 289, 10900, 758, 17619, 46355, 1248, 2038, 12525, 478, 730, 368, 305, 267, 910, 289, 282, 18241, 2972, 1408, 18, 1303, 481, 14985, 12653, 616, 552, 18, 740, 282, 14515, 23523, 15014, 3210, 2178, 3768, 289, 34447, 1177, 11274, 368, 282, 2511, 12994, 18, 740, 478, 789, 27647, 470, 44611, 349, 1807, 16432, 18, 2052, 9932, 343, 25905, 282, 35962, 22230, 25822, 582, 18, 12653, 13389, 13231, 1757, 1793, 966, 4744, 1212, 2957, 3389, 16432, 7646, 18, 35860, 283, 1011, 505, 25665, 7757 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32733, 470, 309, 29510, 30482, 16536, 364, 478, 684, 13566, 872, 267, 861, 478, 630, 2561, 292, 3372, 470, 282, 7814, 12626, 555, 21094, 285, 44349, 343, 45300, 332, 478, 780, 339, 32733, 910, 367, 478, 50157, 354, 470, 906, 7081, 478, 4580, 488, 12841, 861, 31224, 30, 27064, 447, 430, 19, 28, 22979, 17, 21131, 42361, 19911, 414, 13231, 1027, 334, 1874, 1918, 1324, 2607, 282, 34456, 16, 988, 478, 983, 2679, 32248, 470, 16831, 478, 983, 1554, 1452, 861, 1681, 11607, 3328, 18774, 29462, 33272, 1011, 9764, 282, 14515, 9547, 639, 2003, 11757, 2666, 16432, 289, 567, 7422, 9410, 39566, 35107, 18, 2046, 481, 5121, 322, 453, 1139, 18, 640, 7266, 3437, 3303, 4325, 478, 983, 1554, 1452, 470, 322, 687, 6691, 7831, 16, 515, 289, 31559, 935, 4296, 5199, 18, 6290, 5897, 5966, 11274, 635, 4466, 7193, 13536, 17895, 31816, 14393, 1909, 329, 478, 1659, 27254, 470, 1488, 12994, 18, 740, 29462, 33272, 10587, 32893, 1423, 8616, 309, 13180, 14596, 16, 282, 1754, 478, 983, 2679, 32248, 470, 8782, 844, 326, 18101, 2418, 12994, 5, 15193, 339, 5790, 1559, 39425, 9020, 440, 4218, 431, 282, 3968, 1484, 2887, 478, 14375, 30541, 470, 19574, 18389, 510, 391, 4013, 266, 24016, 2612, 18, 4635, 505, 3703, 26654, 282, 35962, 22230, 25822, 582, 20800, 478, 1659, 27254, 470, 8662, 282, 290, 551, 6189, 277, 18, 478, 1659, 27254, 21604, 32248, 470, 510, 478, 983, 1554, 1452, 2387, 267, 470, 510, 2418, 22, 30, 4234, 24, 27409, 473, 4691, 30, 6475, 16, 11114, 30, 6894, 16, 1281, 30, 6894, 16, 6603, 30, 6462, 16, 5741, 30, 6091, 13, 478, 780, 339, 32733, 528, 3394, 288, 5622, 470, 510, 478, 1098, 397, 17, 43469, 10051, 293, 872, 267, 470, 510, 39333, 30, 17819, 473, 7536, 30, 4691, 16, 2511, 30, 5759, 16, 2706, 30, 2932, 16, 11114, 30, 3902, 13, 478, 50157, 354, 6939, 1285, 267, 470, 510, 478, 4580, 488, 2334, 378, 4013, 3045, 267, 470, 510, 6374, 30, 14184, 473, 6462, 30, 3940, 16, 4055, 30, 3902, 16, 3695, 30, 1618, 16, 1760, 30, 2932, 13, 478, 1916, 957, 10868, 19505, 305, 267, 470, 510, 478, 630, 2561, 292, 3372, 17, 34519, 9226, 868, 470, 510, 25898, 30, 2479, 24, 473, 1618, 30, 8799, 16, 2555, 30, 6462, 16, 4055, 30, 3940, 16, 2706, 30, 5493, 13, 24016, 2612, 1763, 6310, 309, 3591, 5852, 510, 289, 16, 424, 15480, 3561, 16, 289, 2059, 3969, 281, 1771, 607, 16, 289, 281, 15705, 979, 18, 5057, 274, 505, 6653, 10763, 47527, 4744, 2449, 16, 38331, 7646, 5402, 6727, 2776, 11425, 878, 1139, 43550, 5729, 18, 365, 27283, 808, 24016, 2612, 3424, 685, 309, 13179, 16, 515, 282, 481, 808, 282, 594, 404, 478, 9256, 267, 470, 478, 33516, 1309, 470, 10167, 44514, 18, 4635, 505, 37700, 6972, 368, 281, 38374, 323, 282, 10198, 478, 332, 38922, 470, 15272, 25107, 16119, 2795, 5510, 1552, 16, 289, 15092, 290, 551, 6189, 277, 567, 2992, 4256, 25822, 582, 18, 740, 289, 2992, 25778, 44368, 322, 8664, 364, 36579, 289, 282, 2344, 2222, 16, 3226, 575, 16, 44514, 18, 9300, 12954, 282, 970, 575, 10198, 16, 374, 289, 282, 2615, 445, 16, 14212, 11216, 282, 14274, 478, 983, 2679, 32248, 861, 39693, 26123, 37358, 31754, 282, 15301, 290, 551, 6189, 482, 16, 1029, 11623, 17060, 478, 1659, 27254, 861, 24016, 2612, 575, 1559, 3818, 1619, 12310, 28067, 4966, 16, 2581, 7678, 12060, 46414, 18, 608, 478, 983, 1554, 4086, 470, 46459, 10988, 356, 42315, 281, 9817, 3411, 6425, 289, 1533, 3012, 4334, 18, 2112, 1335, 9764, 478, 983, 2679, 32248, 470, 45420, 282, 7756, 477, 12932, 816, 17, 21, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1659, 27254, 470, 510, 478, 983, 1554, 1452, 861, 27498, 811, 23635, 1119, 12496, 635, 1251, 478, 780, 339, 32733, 304, 470, 289, 478, 684, 13566, 872, 267, 861, 4922, 17786, 7155, 3453, 12549, 1734, 2496, 1209, 18, 14587, 1272, 7977, 282, 19280, 17, 46013, 6228, 478, 1009, 3394, 288, 5622, 470, 8782, 844, 326, 322, 2410, 18397, 18, 2046, 16, 785, 17786, 37510, 282, 41146, 32733, 16, 3877, 472, 16270, 13426, 289, 9840, 11819, 380, 1373, 575, 48056, 290, 1617, 4816, 33221, 18, 365, 35962, 9155, 1635, 762, 499, 839, 478, 1009, 3394, 288, 5622, 470, 898, 309, 2398, 7081, 7658, 478, 684, 13566, 872, 267, 910, 32471, 334, 3436, 26654, 18, 981, 289, 282, 13441, 478, 780, 339, 32733, 272, 470, 3225, 8782, 18070, 3230, 10773, 20703, 18, 32310, 510, 16536, 289, 2948, 282, 7756, 491, 17, 22, 18, 478, 50157, 354, 470, 1011, 1949, 46512, 282, 1540, 488, 2334, 22160, 409, 3210, 11642, 34271, 45676, 478, 4580, 488, 4172, 861, 478, 33734, 1285, 267, 470, 424, 38313, 1518, 625, 332, 14816, 41023, 322, 7863, 25107, 537, 13523, 39440, 18, 439, 2767, 329, 21166, 2466, 18309, 312, 450, 2243, 898, 309, 3591, 5852, 18, 478, 672, 4013, 3045, 267, 470, 575, 1745, 322, 3005, 3670, 16, 374, 3621, 18, 439, 481, 322, 453, 289, 7339, 651, 349, 2948, 2236, 43430, 33541, 4525, 6416, 21975, 26070, 22979, 17, 21131, 18, 4950, 16, 2091, 16, 10229, 289, 37970, 21094, 419, 18, 740, 492, 2410, 26883, 5442, 286, 18, 13191, 328, 483, 8518, 47479, 12626, 555, 21094, 285, 44349, 343, 478, 630, 2561, 292, 3372, 470, 1011, 1949, 13939, 2566, 18552, 282, 4446, 294, 478, 1916, 957, 285, 4681, 861, 4320, 478, 789, 27647, 470, 764, 322, 6898, 9124, 1920, 749, 21094, 285, 44349, 343, 16, 1029, 349, 2846, 779, 322, 25521, 537, 2236, 7977, 18, 35652, 4847, 659, 272, 309, 965, 4445, 42255, 12653, 13389, 16, 360, 513, 890, 1779, 349, 965, 289, 349, 924, 12626, 555, 18, 37540, 478, 630, 2561, 3792, 276, 470, 282, 11877, 685, 1139, 309, 13179, 18, 817, 1763, 6310, 289, 281, 1771, 607, 16, 289, 10900, 758, 17619, 46355, 1248, 2038, 12525, 478, 730, 368, 305, 267, 910, 289, 282, 18241, 2972, 1408, 18, 1303, 481, 14985, 12653, 616, 552, 18, 740, 282, 14515, 23523, 15014, 3210, 2178, 3768, 289, 34447, 1177, 11274, 368, 282, 2511, 12994, 18, 740, 478, 789, 27647, 470, 44611, 349, 1807, 16432, 18, 2052, 9932, 343, 25905, 282, 35962, 22230, 25822, 582, 18, 12653, 13389, 13231, 1757, 1793, 966, 4744, 1212, 2957, 3389, 16432, 7646, 18, 35860, 283, 1011, 505, 25665, 7757 ]
[ 282, 42133, 4293, 454, 289, 16, 45110, 15052, 309, 1272, 5450, 16, 17741, 37559, 282, 14274, 18, 608, 478, 1916, 957, 31799, 470, 16039, 16171, 309, 8955, 16, 2686, 42342, 29942, 791, 315, 322, 7757, 28980, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 23944, 1162, 20925, 1175, 46621, 475, 1421, 7977, 309, 29536, 304, 10649, 7561, 2422, 334, 40730, 18, 2112, 16536, 434, 14248, 360, 25359, 9839, 14210, 1133, 16452, 5952, 382, 41280, 41893, 11854, 1876, 411, 17, 431, 478, 343, 33672, 791, 1816, 470, 1791, 281, 5071, 7923, 289, 9444, 18, 365, 4551, 16452, 274, 1175, 281, 3084, 27845, 22140, 22806, 18, 31224, 30, 23944, 1162, 20925, 1175, 334, 40730, 322, 895, 46681, 25467, 1360, 22232, 309, 2972, 22666, 282, 5002, 12560, 17610, 473, 26404, 13, 12013, 2422, 18, 893, 45126, 40900, 282, 8933, 439, 475, 1421, 7977, 16, 329, 22603, 47079, 1875, 4304, 19030, 473, 24, 30, 25, 934, 2145, 473, 20, 30, 29, 13, 289, 25359, 473, 21, 30, 3940, 814, 365, 22979, 17, 21131, 19186, 7193, 1196, 2829, 687, 4426, 5189, 552, 14452, 16, 1541, 1352, 411, 10504, 6367, 18, 981, 289, 1122, 7006, 520, 2353, 5370, 381, 2286, 6755, 16, 1696, 6281, 11854, 382, 1747, 477, 7342, 22336, 16, 3429, 1027, 21340, 12445, 871, 365, 18, 9993, 2388, 12056, 16, 428, 282, 8267, 43901, 651, 3771, 16, 1595, 37683, 541, 21618, 16452, 274, 18, 26632, 8260, 282, 803, 2100, 7928, 21528, 4364, 1871, 4966, 651, 478, 273, 637, 1505, 16399, 470, 289, 2145, 18, 385, 6175, 5743, 4183, 34472, 282, 8497, 1045, 870, 3191, 448, 22401, 14725, 702, 1279, 2803, 282, 23376, 289, 34143, 1166, 19844, 19650, 18, 996, 22244, 382, 2458, 17252, 812, 34350, 4027, 353, 2422, 16, 367, 2689, 382, 510, 6566, 812, 34350, 18, 365, 803, 1045, 30111, 6874, 38937, 25617, 14452, 289, 6547, 453, 16, 753, 2145, 289, 43901, 14725, 282, 2059, 8933, 289, 6984, 3440, 20163, 19654, 6863, 282, 23356, 16, 515, 6295, 322, 15773, 18, 2112, 4466, 7342, 1175, 1279, 4966, 25359, 16, 1568, 447, 9314, 13470, 16536, 304, 21166, 2466, 18182, 6470, 2659, 342, 16, 935, 7739, 2203, 898, 18806, 1007, 31813, 21618, 16452, 274, 282, 1175, 18, 996, 5815, 22244, 680, 4966, 768, 10573, 4239, 286, 21580, 15599, 9321, 16, 374, 329, 7583, 4966, 29419, 2257, 3860, 281, 9680, 1703, 3040, 5620, 289, 9444, 18, 478, 1358, 3684, 16, 374, 697, 3560, 3084, 17016, 651, 481, 5071, 1952, 289, 9770, 7928, 16, 510, 2323, 22244, 343, 786, 55, 50, 18, 651, 629, 12420, 15346, 17234, 16452, 5952, 1876, 16, 1548, 374, 4750, 16, 374, 697, 8768, 322, 10179, 2582, 2702, 4612, 19983, 4432, 7928, 289, 11471, 395, 18, 1606, 49552, 19831, 861, 824, 4734, 22244, 680, 1963, 16, 282, 1175, 912, 17488, 282, 49418, 16452, 263, 16, 1696, 282, 8439, 1045, 7193, 26756, 19543, 2509, 2394, 4309, 34472, 18, 2046, 9770, 4551, 16452, 274, 1175, 473, 1182, 1916, 730, 13, 322, 2564, 435, 309, 5137, 978, 9792, 14923, 649, 6138, 282, 48421, 289, 2697, 3301, 435, 396, 20822, 19329, 18, 2876, 9770, 727, 1916, 730, 1139, 322, 2397, 3018, 13449, 1188, 20945, 15825, 12966, 31911, 19543, 1505, 19650, 309, 43035, 17, 8157, 282, 13822, 18, 365, 38945, 9525, 5860, 977, 289, 16452, 5952, 343, 7583, 4966, 459, 274, 18144, 2538, 401, 1624, 1586, 1623, 31105, 4239, 286, 21580, 15599, 334, 10434, 7377, 8553, 486, 312, 18, 478, 26451, 6332, 5248, 3050, 7938, 16, 515, 1299, 6453, 289, 3531, 21188, 651, 15317, 455, 18144, 2538, 401, 16, 510, 30205, 1952, 12530, 11187, 813, 6281, 9823, 23721, 16, 515, 3333, 16452, 5952, 382, 1139, 322, 18950, 1867, 2900, 12065, 429, 18, 7699, 21188, 3585, 20555, 294, 1190, 5693, 16, 1548, 374, 282, 1175, 1003, 28268, 24786, 16, 289, 13505, 2702, 3257, 8662, 282, 18823, 1175, 18, 2876, 417, 3027, 16, 753, 2874, 16452, 5952, 382, 4193, 925, 282, 16775, 4966, 16, 753, 43830, 31696, 289, 3624, 282, 15316, 24786, 861, 30491, 727, 1916, 730, 16, 282, 1423, 3678, 16, 5273, 16, 374, 3964, 322, 475, 453, 4702, 282, 19862, 49418, 16452, 263, 18, 985, 1109, 7996, 3594, 334, 28705, 19702, 727, 1916, 730, 6363, 608, 2243, 12285, 16, 294, 5076, 478, 46088, 18, 8381, 470, 22080, 10106, 349, 14678, 353, 9541, 17, 22079, 22941, 16095, 727, 611, 7929, 16, 12966, 39744, 19650, 309, 14097, 292, 282, 13822, 2504, 281, 11854, 368, 322, 36497, 18, 478, 18229, 16, 1421, 14248, 282, 8933, 510, 481, 4702, 18, 1665, 1373, 1381, 15870, 289, 6402, 18465, 5743, 34472, 16, 1279, 1754, 656, 7556, 28003, 16, 510, 17684, 5199, 7342, 1175, 608, 2243, 12285, 18, 510, 3510, 939, 7339, 6281, 282, 8933, 16, 988, 1272, 411, 3437, 16287, 694, 2820, 11932, 1048, 651, 481, 322, 7953, 451, 11918, 18, 4777, 4525, 13761, 309, 26070, 22979, 17, 21131, 1011, 2567, 46512, 18, 385, 2107, 1963, 16, 282, 9347, 8547, 294, 43035, 4466, 1279, 25359, 289, 2145, 9095, 14650, 3615, 30577, 3952, 18, 403, 2222, 575, 5571, 7193, 13044, 8831, 5335, 16, 289, 282, 6550, 7492, 21273, 656, 14156, 8051, 34271, 19329, 18, 832, 1743, 22244, 933, 16452, 26226, 32659, 290, 12996, 21618, 16452, 274, 282, 1888, 7338, 16, 282, 970, 2875, 289, 282, 1175, 18, 740, 428, 5854, 12457, 2447, 2023, 16, 374, 10933, 16452, 5952, 382, 6535, 282, 33394, 2903, 2529, 9524, 16, 828, 9360, 2874, 7739, 1157, 18, 640, 9837, 1119, 282, 1175, 687, 5270, 18221, 29324, 3541, 16, 502, 912, 7431, 9469, 12525, 16, 367, 282, 1888, 7338, 651, 282, 8023, 1143, 18, 3923, 16, 282, 803, 9347, 912, 25542, 14343, 382, 18, 5161, 16, 282, 12013, 1175, 282, 10264, 808, 1698, 19111, 3191, 448, 4534, 16, 15667, 820, 16, 46792, 18, 2046, 17131, 2009, 5836, 4096, 481, 16, 2091, 16, 322, 5695, 18, 4406, 329, 813, 9469, 16452, 265, 2541, 16, 1215, 411, 1129, 656, 289, 3984, 25705, 289, 15730, 8616, 294, 14557, 1703, 2117, 277, 282, 13822, 18, 6083, 408, 12525, 329, 813, 1003, 861, 5043, 16, 935, 309, 803, 34472, 764, 322, 475, 2498, 12948, 16, 1696, 282, 22979, 17, 21131, 895, 18520, 20657, 18, 893, 45126, 49863, 4751, 3800, 10434, 22336, 16, 289, 3147, 2628, 16, 374, 481, 36441, 895, 3227, 20009, 25771, 1401, 15828, 18182, 6470, 2659, 342, 18, 2046, 727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 42133, 4293, 454, 289, 16, 45110, 15052, 309, 1272, 5450, 16, 17741, 37559, 282, 14274, 18, 608, 478, 1916, 957, 31799, 470, 16039, 16171, 309, 8955, 16, 2686, 42342, 29942, 791, 315, 322, 7757, 28980, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 23944, 1162, 20925, 1175, 46621, 475, 1421, 7977, 309, 29536, 304, 10649, 7561, 2422, 334, 40730, 18, 2112, 16536, 434, 14248, 360, 25359, 9839, 14210, 1133, 16452, 5952, 382, 41280, 41893, 11854, 1876, 411, 17, 431, 478, 343, 33672, 791, 1816, 470, 1791, 281, 5071, 7923, 289, 9444, 18, 365, 4551, 16452, 274, 1175, 281, 3084, 27845, 22140, 22806, 18, 31224, 30, 23944, 1162, 20925, 1175, 334, 40730, 322, 895, 46681, 25467, 1360, 22232, 309, 2972, 22666, 282, 5002, 12560, 17610, 473, 26404, 13, 12013, 2422, 18, 893, 45126, 40900, 282, 8933, 439, 475, 1421, 7977, 16, 329, 22603, 47079, 1875, 4304, 19030, 473, 24, 30, 25, 934, 2145, 473, 20, 30, 29, 13, 289, 25359, 473, 21, 30, 3940, 814, 365, 22979, 17, 21131, 19186, 7193, 1196, 2829, 687, 4426, 5189, 552, 14452, 16, 1541, 1352, 411, 10504, 6367, 18, 981, 289, 1122, 7006, 520, 2353, 5370, 381, 2286, 6755, 16, 1696, 6281, 11854, 382, 1747, 477, 7342, 22336, 16, 3429, 1027, 21340, 12445, 871, 365, 18, 9993, 2388, 12056, 16, 428, 282, 8267, 43901, 651, 3771, 16, 1595, 37683, 541, 21618, 16452, 274, 18, 26632, 8260, 282, 803, 2100, 7928, 21528, 4364, 1871, 4966, 651, 478, 273, 637, 1505, 16399, 470, 289, 2145, 18, 385, 6175, 5743, 4183, 34472, 282, 8497, 1045, 870, 3191, 448, 22401, 14725, 702, 1279, 2803, 282, 23376, 289, 34143, 1166, 19844, 19650, 18, 996, 22244, 382, 2458, 17252, 812, 34350, 4027, 353, 2422, 16, 367, 2689, 382, 510, 6566, 812, 34350, 18, 365, 803, 1045, 30111, 6874, 38937, 25617, 14452, 289, 6547, 453, 16, 753, 2145, 289, 43901, 14725, 282, 2059, 8933, 289, 6984, 3440, 20163, 19654, 6863, 282, 23356, 16, 515, 6295, 322, 15773, 18, 2112, 4466, 7342, 1175, 1279, 4966, 25359, 16, 1568, 447, 9314, 13470, 16536, 304, 21166, 2466, 18182, 6470, 2659, 342, 16, 935, 7739, 2203, 898, 18806, 1007, 31813, 21618, 16452, 274, 282, 1175, 18, 996, 5815, 22244, 680, 4966, 768, 10573, 4239, 286, 21580, 15599, 9321, 16, 374, 329, 7583, 4966, 29419, 2257, 3860, 281, 9680, 1703, 3040, 5620, 289, 9444, 18, 478, 1358, 3684, 16, 374, 697, 3560, 3084, 17016, 651, 481, 5071, 1952, 289, 9770, 7928, 16, 510, 2323, 22244, 343, 786, 55, 50, 18, 651, 629, 12420, 15346, 17234, 16452, 5952, 1876, 16, 1548, 374, 4750, 16, 374, 697, 8768, 322, 10179, 2582, 2702, 4612, 19983, 4432, 7928, 289, 11471, 395, 18, 1606, 49552, 19831, 861, 824, 4734, 22244, 680, 1963, 16, 282, 1175, 912, 17488, 282, 49418, 16452, 263, 16, 1696, 282, 8439, 1045, 7193, 26756, 19543, 2509, 2394, 4309, 34472, 18, 2046, 9770, 4551, 16452, 274, 1175, 473, 1182, 1916, 730, 13, 322, 2564, 435, 309, 5137, 978, 9792, 14923, 649, 6138, 282, 48421, 289, 2697, 3301, 435, 396, 20822, 19329, 18, 2876, 9770, 727, 1916, 730, 1139, 322, 2397, 3018, 13449, 1188, 20945, 15825, 12966, 31911, 19543, 1505, 19650, 309, 43035, 17, 8157, 282, 13822, 18, 365, 38945, 9525, 5860, 977, 289, 16452, 5952, 343, 7583, 4966, 459, 274, 18144, 2538, 401, 1624, 1586, 1623, 31105, 4239, 286, 21580, 15599, 334, 10434, 7377, 8553, 486, 312, 18, 478, 26451, 6332, 5248, 3050, 7938, 16, 515, 1299, 6453, 289, 3531, 21188, 651, 15317, 455, 18144, 2538, 401, 16, 510, 30205, 1952, 12530, 11187, 813, 6281, 9823, 23721, 16, 515, 3333, 16452, 5952, 382, 1139, 322, 18950, 1867, 2900, 12065, 429, 18, 7699, 21188, 3585, 20555, 294, 1190, 5693, 16, 1548, 374, 282, 1175, 1003, 28268, 24786, 16, 289, 13505, 2702, 3257, 8662, 282, 18823, 1175, 18, 2876, 417, 3027, 16, 753, 2874, 16452, 5952, 382, 4193, 925, 282, 16775, 4966, 16, 753, 43830, 31696, 289, 3624, 282, 15316, 24786, 861, 30491, 727, 1916, 730, 16, 282, 1423, 3678, 16, 5273, 16, 374, 3964, 322, 475, 453, 4702, 282, 19862, 49418, 16452, 263, 18, 985, 1109, 7996, 3594, 334, 28705, 19702, 727, 1916, 730, 6363, 608, 2243, 12285, 16, 294, 5076, 478, 46088, 18, 8381, 470, 22080, 10106, 349, 14678, 353, 9541, 17, 22079, 22941, 16095, 727, 611, 7929, 16, 12966, 39744, 19650, 309, 14097, 292, 282, 13822, 2504, 281, 11854, 368, 322, 36497, 18, 478, 18229, 16, 1421, 14248, 282, 8933, 510, 481, 4702, 18, 1665, 1373, 1381, 15870, 289, 6402, 18465, 5743, 34472, 16, 1279, 1754, 656, 7556, 28003, 16, 510, 17684, 5199, 7342, 1175, 608, 2243, 12285, 18, 510, 3510, 939, 7339, 6281, 282, 8933, 16, 988, 1272, 411, 3437, 16287, 694, 2820, 11932, 1048, 651, 481, 322, 7953, 451, 11918, 18, 4777, 4525, 13761, 309, 26070, 22979, 17, 21131, 1011, 2567, 46512, 18, 385, 2107, 1963, 16, 282, 9347, 8547, 294, 43035, 4466, 1279, 25359, 289, 2145, 9095, 14650, 3615, 30577, 3952, 18, 403, 2222, 575, 5571, 7193, 13044, 8831, 5335, 16, 289, 282, 6550, 7492, 21273, 656, 14156, 8051, 34271, 19329, 18, 832, 1743, 22244, 933, 16452, 26226, 32659, 290, 12996, 21618, 16452, 274, 282, 1888, 7338, 16, 282, 970, 2875, 289, 282, 1175, 18, 740, 428, 5854, 12457, 2447, 2023, 16, 374, 10933, 16452, 5952, 382, 6535, 282, 33394, 2903, 2529, 9524, 16, 828, 9360, 2874, 7739, 1157, 18, 640, 9837, 1119, 282, 1175, 687, 5270, 18221, 29324, 3541, 16, 502, 912, 7431, 9469, 12525, 16, 367, 282, 1888, 7338, 651, 282, 8023, 1143, 18, 3923, 16, 282, 803, 9347, 912, 25542, 14343, 382, 18, 5161, 16, 282, 12013, 1175, 282, 10264, 808, 1698, 19111, 3191, 448, 4534, 16, 15667, 820, 16, 46792, 18, 2046, 17131, 2009, 5836, 4096, 481, 16, 2091, 16, 322, 5695, 18, 4406, 329, 813, 9469, 16452, 265, 2541, 16, 1215, 411, 1129, 656, 289, 3984, 25705, 289, 15730, 8616, 294, 14557, 1703, 2117, 277, 282, 13822, 18, 6083, 408, 12525, 329, 813, 1003, 861, 5043, 16, 935, 309, 803, 34472, 764, 322, 475, 2498, 12948, 16, 1696, 282, 22979, 17, 21131, 895, 18520, 20657, 18, 893, 45126, 49863, 4751, 3800, 10434, 22336, 16, 289, 3147, 2628, 16, 374, 481, 36441, 895, 3227, 20009, 25771, 1401, 15828, 18182, 6470, 2659, 342, 18, 2046, 727 ]
[ 1916, 730, 912, 2826, 1195, 828, 8695, 16, 753, 2048, 20822, 19329, 1033, 33477, 536, 16, 1696, 519, 23601, 1608, 415, 732, 282, 13822, 5290, 1223, 1272, 779, 16, 289, 16, 753, 40769, 8830, 6730, 282, 803, 2100, 7928, 16, 1513, 35560, 23367, 311, 1004, 17990, 8885, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 44229, 1175, 334, 40730, 18, 2, 1, 87, 1456, 81, 2448, 30, 48165, 32214, 29611, 27115, 47308, 1075, 3983, 510, 2615, 282, 2968, 37691, 281, 24530, 23167, 11329, 426, 339, 18, 28616, 22196, 4633, 30, 2710, 14125, 10859, 35213, 272, 505, 5108, 3412, 5189, 16, 322, 3147, 5416, 18, 31224, 30, 48165, 32214, 22644, 37691, 27115, 47308, 1075, 3983, 16, 5130, 282, 9907, 2241, 18, 5592, 5768, 8578, 510, 478, 275, 317, 14259, 470, 11075, 30, 827, 5221, 309, 30819, 670, 31375, 13216, 14392, 16, 4750, 16, 374, 745, 4247, 4769, 1771, 607, 18, 8985, 35213, 45111, 282, 16790, 282, 13340, 41647, 1533, 3802, 289, 840, 23090, 430, 16, 7675, 3763, 6994, 473, 3927, 315, 4843, 39055, 814, 1937, 11260, 11981, 282, 1888, 7338, 16, 1055, 322, 13120, 18, 478, 35172, 16, 4426, 24530, 392, 1444, 6867, 392, 2184, 24530, 23167, 11146, 1123, 304, 840, 20774, 9625, 2059, 3969, 910, 510, 14782, 9294, 39379, 24679, 17, 11800, 455, 786, 10497, 54, 974, 559, 48824, 385, 2880, 868, 18, 9051, 46539, 5492, 10828, 313, 871, 40141, 32214, 7737, 21001, 1293, 20063, 478, 791, 3562, 910, 3057, 43907, 1302, 2960, 2404, 6166, 1605, 36370, 531, 1489, 11523, 4922, 21927, 4360, 9038, 5065, 4371, 16, 428, 17978, 16, 808, 16, 40259, 1453, 2282, 642, 289, 5040, 48033, 22757, 16, 309, 9213, 309, 25803, 670, 25214, 2743, 9890, 289, 867, 3818, 20847, 2617, 505, 16, 785, 37691, 8445, 48862, 5450, 309, 7985, 670, 2107, 36062, 5774, 416, 6734, 18, 478, 5798, 11329, 1476, 27115, 47308, 1075, 3983, 29402, 659, 286, 16, 502, 567, 808, 18042, 2150, 12475, 21951, 24433, 2722, 309, 21553, 2580, 35032, 2302, 759, 39837, 47634, 16, 367, 24433, 2722, 309, 19794, 2580, 510, 5421, 47634, 16, 510, 47187, 290, 13840, 3289, 4678, 10828, 313, 871, 282, 17292, 26750, 2241, 32214, 23729, 514, 11634, 18, 510, 1787, 18439, 289, 5626, 38042, 21927, 715, 3309, 37516, 36257, 6166, 983, 368, 4139, 15493, 12235, 678, 4360, 3604, 3772, 294, 42465, 10756, 291, 281, 1889, 5349, 16, 15295, 6503, 3692, 23413, 670, 24202, 861, 985, 3110, 3785, 16, 5018, 1270, 11329, 1476, 281, 37356, 1149, 7983, 22099, 289, 24451, 3409, 19868, 25786, 31693, 30640, 17110, 282, 13400, 49221, 16, 2019, 22666, 309, 8275, 16, 4424, 18, 967, 803, 4419, 2241, 35229, 16, 48789, 289, 32214, 726, 37386, 4110, 282, 1175, 9172, 4607, 281, 282, 317, 23167, 48862, 16, 367, 5272, 3785, 48789, 22644, 2615, 5018, 1270, 11329, 1476, 541, 41382, 18, 365, 5324, 6605, 5825, 289, 290, 18869, 9037, 5797, 278, 423, 24530, 25348, 35032, 360, 48789, 16, 1586, 2879, 34065, 726, 282, 12838, 16, 2686, 32214, 3225, 8950, 18978, 24411, 18, 385, 11765, 2587, 27115, 47308, 1075, 3983, 7832, 294, 4332, 1147, 34409, 11146, 1123, 291, 16, 1336, 38881, 1061, 16, 27, 17, 42668, 1742, 11329, 1476, 281, 37356, 1149, 7983, 22099, 18, 9098, 575, 21879, 329, 48015, 718, 3010, 466, 299, 15921, 32214, 27115, 47308, 1059, 13821, 816, 16, 515, 1177, 11341, 2397, 1457, 778, 14578, 18, 1787, 1634, 34559, 712, 27115, 47308, 1075, 3983, 23086, 289, 17879, 16, 505, 47778, 4896, 1409, 16, 29, 6322, 16, 2205, 510, 1760, 24, 336, 473, 12833, 24507, 30, 329, 27115, 47308, 1059, 13821, 816, 47778, 510, 1488, 16, 23, 6322, 16, 2205, 510, 2261, 29, 336, 814, 16774, 7414, 40013, 2511, 17, 47383, 589, 3646, 18970, 8649, 45247, 281, 4347, 399, 368, 18432, 289, 491, 17, 47383, 589, 3646, 18970, 12370, 1809, 18, 602, 277, 5804, 18933, 1347, 4896, 4039, 646, 308, 618, 283, 18, 47229, 11260, 424, 18459, 9268, 7475, 25989, 24776, 1032, 18, 23, 18, 11333, 13551, 1075, 3983, 1038, 4266, 290, 970, 16, 374, 481, 7623, 48015, 282, 3177, 16354, 30, 1336, 8425, 3560, 21603, 4126, 350, 2241, 6607, 5659, 21016, 510, 6566, 691, 33819, 451, 491, 16, 23, 528, 1009, 321, 715, 82, 2051, 72, 86, 22781, 14953, 18, 985, 289, 329, 1059, 13821, 816, 16, 329, 1075, 3983, 816, 528, 296, 33043, 5806, 289, 9817, 528, 296, 16686, 1734, 33212, 301, 17, 47164, 1647, 16, 2588, 942, 25728, 281, 3195, 14952, 39906, 55, 40, 18, 365, 13340, 41647, 37691, 15349, 2768, 282, 13636, 1185, 20414, 18, 967, 803, 3781, 17, 9952, 32214, 45670, 16, 374, 13551, 10828, 313, 871, 1698, 31041, 16, 453, 428, 3785, 2669, 36189, 1871, 40006, 5690, 5936, 30, 281, 1185, 20414, 309, 4126, 4642, 6607, 5659, 21016, 289, 281, 816, 43, 309, 20140, 2054, 1035, 18, 2667, 4319, 1326, 322, 1965, 6218, 16, 11256, 14125, 353, 9298, 11329, 1476, 16, 1029, 453, 7766, 282, 317, 1578, 16, 428, 329, 1075, 3983, 16, 13462, 282, 23557, 4642, 24679, 17, 11800, 455, 29861, 980, 30, 478, 35172, 16, 1743, 282, 970, 16, 374, 371, 38716, 35032, 48862, 3760, 24530, 14259, 14578, 3440, 31459, 847, 16, 367, 2628, 16, 2241, 32214, 1139, 5425, 953, 1848, 6087, 490, 3347, 861, 478, 677, 25838, 16, 32214, 1139, 16836, 2712, 309, 1075, 3983, 6402, 33737, 16, 428, 289, 282, 1750, 281, 27115, 47308, 1180, 2093, 225, 910, 510, 14782, 9294, 39379, 21086, 5099, 40, 50, 980, 34620, 36439, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3693, 11910, 23394, 16259, 16197, 9840, 310, 401, 289, 4552, 10226, 478, 682, 1161, 8667, 470, 17382, 2047, 3495, 1219, 6964, 14564, 8891, 1970, 45522, 294, 28147, 2847, 1147, 33260, 16, 18061, 5835, 12258, 510, 294, 1281, 17912, 15978, 18, 824, 7475, 14160, 16, 8891, 1970, 17005, 9572, 23394, 289, 14935, 454, 16, 367, 5835, 12258, 697, 1141, 18965, 1909, 18, 35157, 9321, 16, 374, 840, 29581, 1086, 10566, 16, 24030, 289, 12483, 18100, 973, 14620, 20256, 632, 2707, 301, 1427, 343, 7052, 1007, 18, 31224, 30, 677, 10882, 282, 43788, 267, 14347, 685, 22812, 1235, 10566, 14449, 536, 9353, 758, 282, 16765, 23394, 16259, 16197, 9840, 310, 401, 289, 4552, 10226, 17382, 2047, 3495, 1219, 6964, 18, 1651, 1306, 8891, 22686, 16044, 43209, 294, 28147, 2847, 1147, 33260, 18, 2320, 44313, 5590, 18061, 5835, 12258, 10566, 798, 294, 1281, 17912, 15978, 18, 3791, 1551, 5930, 364, 29085 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1916, 730, 912, 2826, 1195, 828, 8695, 16, 753, 2048, 20822, 19329, 1033, 33477, 536, 16, 1696, 519, 23601, 1608, 415, 732, 282, 13822, 5290, 1223, 1272, 779, 16, 289, 16, 753, 40769, 8830, 6730, 282, 803, 2100, 7928, 16, 1513, 35560, 23367, 311, 1004, 17990, 8885, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 44229, 1175, 334, 40730, 18, 2, 1, 87, 1456, 81, 2448, 30, 48165, 32214, 29611, 27115, 47308, 1075, 3983, 510, 2615, 282, 2968, 37691, 281, 24530, 23167, 11329, 426, 339, 18, 28616, 22196, 4633, 30, 2710, 14125, 10859, 35213, 272, 505, 5108, 3412, 5189, 16, 322, 3147, 5416, 18, 31224, 30, 48165, 32214, 22644, 37691, 27115, 47308, 1075, 3983, 16, 5130, 282, 9907, 2241, 18, 5592, 5768, 8578, 510, 478, 275, 317, 14259, 470, 11075, 30, 827, 5221, 309, 30819, 670, 31375, 13216, 14392, 16, 4750, 16, 374, 745, 4247, 4769, 1771, 607, 18, 8985, 35213, 45111, 282, 16790, 282, 13340, 41647, 1533, 3802, 289, 840, 23090, 430, 16, 7675, 3763, 6994, 473, 3927, 315, 4843, 39055, 814, 1937, 11260, 11981, 282, 1888, 7338, 16, 1055, 322, 13120, 18, 478, 35172, 16, 4426, 24530, 392, 1444, 6867, 392, 2184, 24530, 23167, 11146, 1123, 304, 840, 20774, 9625, 2059, 3969, 910, 510, 14782, 9294, 39379, 24679, 17, 11800, 455, 786, 10497, 54, 974, 559, 48824, 385, 2880, 868, 18, 9051, 46539, 5492, 10828, 313, 871, 40141, 32214, 7737, 21001, 1293, 20063, 478, 791, 3562, 910, 3057, 43907, 1302, 2960, 2404, 6166, 1605, 36370, 531, 1489, 11523, 4922, 21927, 4360, 9038, 5065, 4371, 16, 428, 17978, 16, 808, 16, 40259, 1453, 2282, 642, 289, 5040, 48033, 22757, 16, 309, 9213, 309, 25803, 670, 25214, 2743, 9890, 289, 867, 3818, 20847, 2617, 505, 16, 785, 37691, 8445, 48862, 5450, 309, 7985, 670, 2107, 36062, 5774, 416, 6734, 18, 478, 5798, 11329, 1476, 27115, 47308, 1075, 3983, 29402, 659, 286, 16, 502, 567, 808, 18042, 2150, 12475, 21951, 24433, 2722, 309, 21553, 2580, 35032, 2302, 759, 39837, 47634, 16, 367, 24433, 2722, 309, 19794, 2580, 510, 5421, 47634, 16, 510, 47187, 290, 13840, 3289, 4678, 10828, 313, 871, 282, 17292, 26750, 2241, 32214, 23729, 514, 11634, 18, 510, 1787, 18439, 289, 5626, 38042, 21927, 715, 3309, 37516, 36257, 6166, 983, 368, 4139, 15493, 12235, 678, 4360, 3604, 3772, 294, 42465, 10756, 291, 281, 1889, 5349, 16, 15295, 6503, 3692, 23413, 670, 24202, 861, 985, 3110, 3785, 16, 5018, 1270, 11329, 1476, 281, 37356, 1149, 7983, 22099, 289, 24451, 3409, 19868, 25786, 31693, 30640, 17110, 282, 13400, 49221, 16, 2019, 22666, 309, 8275, 16, 4424, 18, 967, 803, 4419, 2241, 35229, 16, 48789, 289, 32214, 726, 37386, 4110, 282, 1175, 9172, 4607, 281, 282, 317, 23167, 48862, 16, 367, 5272, 3785, 48789, 22644, 2615, 5018, 1270, 11329, 1476, 541, 41382, 18, 365, 5324, 6605, 5825, 289, 290, 18869, 9037, 5797, 278, 423, 24530, 25348, 35032, 360, 48789, 16, 1586, 2879, 34065, 726, 282, 12838, 16, 2686, 32214, 3225, 8950, 18978, 24411, 18, 385, 11765, 2587, 27115, 47308, 1075, 3983, 7832, 294, 4332, 1147, 34409, 11146, 1123, 291, 16, 1336, 38881, 1061, 16, 27, 17, 42668, 1742, 11329, 1476, 281, 37356, 1149, 7983, 22099, 18, 9098, 575, 21879, 329, 48015, 718, 3010, 466, 299, 15921, 32214, 27115, 47308, 1059, 13821, 816, 16, 515, 1177, 11341, 2397, 1457, 778, 14578, 18, 1787, 1634, 34559, 712, 27115, 47308, 1075, 3983, 23086, 289, 17879, 16, 505, 47778, 4896, 1409, 16, 29, 6322, 16, 2205, 510, 1760, 24, 336, 473, 12833, 24507, 30, 329, 27115, 47308, 1059, 13821, 816, 47778, 510, 1488, 16, 23, 6322, 16, 2205, 510, 2261, 29, 336, 814, 16774, 7414, 40013, 2511, 17, 47383, 589, 3646, 18970, 8649, 45247, 281, 4347, 399, 368, 18432, 289, 491, 17, 47383, 589, 3646, 18970, 12370, 1809, 18, 602, 277, 5804, 18933, 1347, 4896, 4039, 646, 308, 618, 283, 18, 47229, 11260, 424, 18459, 9268, 7475, 25989, 24776, 1032, 18, 23, 18, 11333, 13551, 1075, 3983, 1038, 4266, 290, 970, 16, 374, 481, 7623, 48015, 282, 3177, 16354, 30, 1336, 8425, 3560, 21603, 4126, 350, 2241, 6607, 5659, 21016, 510, 6566, 691, 33819, 451, 491, 16, 23, 528, 1009, 321, 715, 82, 2051, 72, 86, 22781, 14953, 18, 985, 289, 329, 1059, 13821, 816, 16, 329, 1075, 3983, 816, 528, 296, 33043, 5806, 289, 9817, 528, 296, 16686, 1734, 33212, 301, 17, 47164, 1647, 16, 2588, 942, 25728, 281, 3195, 14952, 39906, 55, 40, 18, 365, 13340, 41647, 37691, 15349, 2768, 282, 13636, 1185, 20414, 18, 967, 803, 3781, 17, 9952, 32214, 45670, 16, 374, 13551, 10828, 313, 871, 1698, 31041, 16, 453, 428, 3785, 2669, 36189, 1871, 40006, 5690, 5936, 30, 281, 1185, 20414, 309, 4126, 4642, 6607, 5659, 21016, 289, 281, 816, 43, 309, 20140, 2054, 1035, 18, 2667, 4319, 1326, 322, 1965, 6218, 16, 11256, 14125, 353, 9298, 11329, 1476, 16, 1029, 453, 7766, 282, 317, 1578, 16, 428, 329, 1075, 3983, 16, 13462, 282, 23557, 4642, 24679, 17, 11800, 455, 29861, 980, 30, 478, 35172, 16, 1743, 282, 970, 16, 374, 371, 38716, 35032, 48862, 3760, 24530, 14259, 14578, 3440, 31459, 847, 16, 367, 2628, 16, 2241, 32214, 1139, 5425, 953, 1848, 6087, 490, 3347, 861, 478, 677, 25838, 16, 32214, 1139, 16836, 2712, 309, 1075, 3983, 6402, 33737, 16, 428, 289, 282, 1750, 281, 27115, 47308, 1180, 2093, 225, 910, 510, 14782, 9294, 39379, 21086, 5099, 40, 50, 980, 34620, 36439, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3693, 11910, 23394, 16259, 16197, 9840, 310, 401, 289, 4552, 10226, 478, 682, 1161, 8667, 470, 17382, 2047, 3495, 1219, 6964, 14564, 8891, 1970, 45522, 294, 28147, 2847, 1147, 33260, 16, 18061, 5835, 12258, 510, 294, 1281, 17912, 15978, 18, 824, 7475, 14160, 16, 8891, 1970, 17005, 9572, 23394, 289, 14935, 454, 16, 367, 5835, 12258, 697, 1141, 18965, 1909, 18, 35157, 9321, 16, 374, 840, 29581, 1086, 10566, 16, 24030, 289, 12483, 18100, 973, 14620, 20256, 632, 2707, 301, 1427, 343, 7052, 1007, 18, 31224, 30, 677, 10882, 282, 43788, 267, 14347, 685, 22812, 1235, 10566, 14449, 536, 9353, 758, 282, 16765, 23394, 16259, 16197, 9840, 310, 401, 289, 4552, 10226, 17382, 2047, 3495, 1219, 6964, 18, 1651, 1306, 8891, 22686, 16044, 43209, 294, 28147, 2847, 1147, 33260, 18, 2320, 44313, 5590, 18061, 5835, 12258, 10566, 798, 294, 1281, 17912, 15978, 18, 3791, 1551, 5930, 364, 29085 ]
[ 2954, 778, 1263, 6975, 3495, 1219, 6964, 294, 8891, 1970, 272, 18, 365, 1263, 263, 3495, 1219, 483, 276, 45922, 7512, 282, 1061, 3763, 2791, 16, 632, 2707, 301, 1427, 273, 7636, 364, 722, 519, 491, 2239, 5041, 6130, 2791, 18, 8891, 1970, 1943, 18692, 6598, 7808, 323, 349, 41062, 44086, 18, 985, 4419, 46557, 7761, 3495, 1219, 6964, 16, 2764, 478, 10738, 3461, 309, 14863, 622, 861, 415, 2210, 1979, 31862, 10243, 4652, 282, 2287, 18, 3161, 16, 632, 2707, 301, 1427, 273, 349, 759, 4615, 505, 2364, 45798, 18, 640, 5897, 5552, 14668, 8165, 16, 3539, 7894, 1272, 281, 16401, 5196, 16, 282, 2615, 445, 6498, 6156, 448, 9577, 2664, 473, 418, 808, 8165, 16044, 4092, 4984, 17666, 26900, 9522, 814, 640, 22812, 8191, 31862, 16, 3828, 16937, 478, 32485, 18, 8381, 470, 411, 10181, 5129, 16, 639, 2364, 4317, 15037, 18, 47003, 324, 26900, 9522, 906, 8928, 798, 16, 8891, 22686, 289, 5835, 12258, 4222, 9529, 15957, 6447, 16427, 17, 2499, 33966, 483, 309, 7266, 1223, 13516, 18, 999, 1119, 519, 31862, 22974, 36130, 345, 1970, 8566, 10286, 541, 26900, 9522, 30, 541, 8891, 22686, 492, 12453, 28147, 21008, 15045, 16, 541, 5835, 12258, 651, 1939, 986, 15978, 18, 8891, 1970, 289, 5835, 12258, 30765, 3029, 7050, 773, 10286, 16, 33426, 349, 2038, 16, 1830, 567, 808, 22812, 1443, 31862, 2700, 15389, 281, 1129, 322, 22059, 18, 1681, 24413, 11359, 8233, 31301, 289, 43671, 2919, 18, 7106, 16, 374, 10552, 22812, 1443, 31862, 17884, 282, 12564, 745, 17245, 18, 510, 6552, 530, 286, 520, 1337, 10566, 16, 912, 520, 2710, 17, 299, 3586, 35, 651, 2363, 329, 26900, 9522, 632, 2707, 301, 1427, 273, 18, 510, 981, 726, 281, 3990, 475, 6218, 16, 651, 2715, 26900, 10823, 18, 889, 898, 505, 4101, 1694, 309, 7433, 18, 38659, 832, 8946, 712, 1109, 16, 374, 12483, 6198, 322, 7052, 798, 10566, 304, 289, 840, 505, 29581, 1086, 478, 275, 293, 11036, 519, 6319, 267, 16968, 861, 478, 3001, 10954, 286, 371, 5305, 16715, 20481, 910, 510, 4725, 25236, 18, 40144, 2959, 14620, 5129, 7052, 798, 16, 12483, 18100, 973, 473, 679, 1947, 3495, 1219, 6964, 289, 5020, 9840, 310, 401, 6070, 13, 1320, 18, 14564, 8891, 1970, 289, 18061, 5835, 12258, 6535, 424, 44649, 281, 1032, 4120, 5021, 779, 18, 8891, 1970, 272, 639, 49837, 22204, 334, 279, 293, 18, 478, 264, 910, 478, 313, 910, 478, 273, 910, 478, 271, 470, 327, 18, 491, 422, 18, 27839, 473, 10709, 662, 1949, 1562, 934, 327, 18, 491, 289, 816, 422, 18, 3405, 22, 473, 32058, 6037, 451, 13684, 6617, 13, 289, 327, 18, 816, 422, 18, 816, 6462, 473, 6757, 841, 1700, 39840, 432, 6702, 13, 25295, 434, 19986, 18, 5835, 12258, 4434, 5820, 334, 279, 293, 18, 478, 313, 910, 478, 271, 470, 327, 18, 491, 422, 18, 27839, 473, 10709, 662, 13, 289, 327, 18, 491, 289, 816, 422, 18, 3405, 22, 473, 32058, 6037, 451, 13684, 6617, 13, 11828, 18, 640, 5606, 33691, 292, 3125, 26608, 4445, 2651, 16789, 309, 965, 16, 33160, 18629, 7768, 16, 374, 387, 782, 364, 289, 11367, 9840, 310, 401, 289, 3495, 1219, 48773, 282, 21945, 473, 960, 885, 5331, 17187, 8891, 1970, 14522, 1293, 445, 814, 21513, 8891, 1970, 9473, 360, 19163, 33014, 16, 21227, 16, 374, 4263, 697, 424, 5263, 1134, 18822, 276, 1195, 1360, 34293, 18, 640, 803, 1718, 2829, 14875, 6198, 26900, 9522, 18, 25295, 539, 1743, 8891, 22686, 289, 5835, 12258, 639, 44356, 282, 43788, 24413, 282, 10841, 978, 779, 18, 22000, 8165, 1293, 445, 3711, 22033, 1855, 510, 4686, 411, 17, 431, 322, 806, 382, 46518, 16, 367, 2512, 30466, 833, 8423, 8624, 41316, 16044, 17860, 4428, 5269, 18, 20451, 9840, 713, 289, 25486, 14398, 671, 401, 898, 17005, 2626, 309, 4429, 447, 14067, 582, 16, 1011, 3781, 17, 19858, 23394, 282, 478, 3096, 18077, 46142, 3781, 17, 31508, 470, 667, 3612, 5021, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 44316, 470, 30682, 595, 40985, 8955, 1195, 478, 15821, 9511, 910, 16118, 38331, 9543, 8553, 341, 2106, 1275, 1061, 3598, 33420, 1595, 7640, 17, 7745, 22964, 18, 6590, 35036, 21175, 47329, 294, 10717, 7811, 349, 2297, 1020, 643, 382, 16, 367, 4803, 2947, 873, 14662, 37897, 326, 282, 17281, 2095, 44200, 30423, 18, 31224, 30, 24868, 2384, 1313, 478, 15821, 486, 470, 302, 25020, 13437, 281, 478, 38238, 304, 470, 289, 1276, 31504, 282, 10717, 6550, 7492, 16287, 478, 29422, 343, 620, 910, 653, 7152, 525, 697, 687, 334, 19621, 445, 2827, 1763, 29576, 289, 40259, 1378, 42875, 18, 1178, 373, 4803, 2947, 873, 26869, 414, 478, 44316, 910, 745, 373, 20310, 322, 939, 6920, 6945, 16, 515, 475, 17, 2767, 19802, 360, 2511, 17, 361, 2223, 18, 1681, 11607, 2497, 20888, 8553, 341, 2106, 15043, 4247, 38816, 5901, 9806, 281, 478, 44316, 304, 861, 4320, 4966, 28003, 282, 5572, 25308, 913, 16, 1252, 313, 4172, 411, 4256, 290, 2466, 9691, 34447, 1421, 16, 3441, 29240, 48372, 289, 3441, 40900, 18, 1303, 1040, 3250, 2175, 26510, 1374, 16, 785, 4966, 16438, 282, 7638, 17, 326, 1484, 18, 640, 9837, 1119, 478, 15821, 486, 470, 537, 7633, 322, 9253, 1684, 18070, 1382, 17028, 282, 8267, 15678, 40657, 7561, 1175, 16, 411, 4256, 9691, 1472, 3441, 5295, 274, 294, 537, 19090, 18, 27025, 18324, 3505, 807, 6420, 600, 324, 8103, 13309, 282, 20971, 14520, 18, 365, 25881, 11258, 478, 44316, 470, 30682, 2287, 2566, 16, 411, 1129, 1658, 510, 1717, 1642, 18, 6682, 924, 16, 282, 4722, 445, 478, 919, 382, 470, 42100, 326, 371, 1634, 19424, 2165, 322, 2616, 17, 1796, 16, 367, 478, 45380, 910, 477, 12932, 1032, 30, 20, 18, 2112, 2900, 34457, 478, 15821, 486, 470, 50172, 322, 2879, 953, 4392, 324, 18, 5043, 16, 322, 2353, 17309, 290, 39566, 5157, 763, 360, 478, 35546, 526, 512, 24653, 470, 477, 12932, 2239, 30, 23, 18, 478, 44316, 470, 35201, 1642, 16, 515, 16, 428, 15075, 15713, 16, 895, 15893, 32325, 2606, 18, 478, 15821, 486, 470, 2742, 10133, 3872, 7556, 16, 12700, 16, 374, 17132, 1450, 16, 334, 20234, 14540, 16, 7908, 18, 478, 38238, 470, 289, 478, 29422, 3509, 470, 1617, 26070, 40900, 16, 453, 374, 282, 803, 28220, 478, 15821, 486, 910, 3848, 1223, 16, 8633, 309, 2287, 17, 277, 2468, 18, 1268, 31160, 820, 7646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2954, 778, 1263, 6975, 3495, 1219, 6964, 294, 8891, 1970, 272, 18, 365, 1263, 263, 3495, 1219, 483, 276, 45922, 7512, 282, 1061, 3763, 2791, 16, 632, 2707, 301, 1427, 273, 7636, 364, 722, 519, 491, 2239, 5041, 6130, 2791, 18, 8891, 1970, 1943, 18692, 6598, 7808, 323, 349, 41062, 44086, 18, 985, 4419, 46557, 7761, 3495, 1219, 6964, 16, 2764, 478, 10738, 3461, 309, 14863, 622, 861, 415, 2210, 1979, 31862, 10243, 4652, 282, 2287, 18, 3161, 16, 632, 2707, 301, 1427, 273, 349, 759, 4615, 505, 2364, 45798, 18, 640, 5897, 5552, 14668, 8165, 16, 3539, 7894, 1272, 281, 16401, 5196, 16, 282, 2615, 445, 6498, 6156, 448, 9577, 2664, 473, 418, 808, 8165, 16044, 4092, 4984, 17666, 26900, 9522, 814, 640, 22812, 8191, 31862, 16, 3828, 16937, 478, 32485, 18, 8381, 470, 411, 10181, 5129, 16, 639, 2364, 4317, 15037, 18, 47003, 324, 26900, 9522, 906, 8928, 798, 16, 8891, 22686, 289, 5835, 12258, 4222, 9529, 15957, 6447, 16427, 17, 2499, 33966, 483, 309, 7266, 1223, 13516, 18, 999, 1119, 519, 31862, 22974, 36130, 345, 1970, 8566, 10286, 541, 26900, 9522, 30, 541, 8891, 22686, 492, 12453, 28147, 21008, 15045, 16, 541, 5835, 12258, 651, 1939, 986, 15978, 18, 8891, 1970, 289, 5835, 12258, 30765, 3029, 7050, 773, 10286, 16, 33426, 349, 2038, 16, 1830, 567, 808, 22812, 1443, 31862, 2700, 15389, 281, 1129, 322, 22059, 18, 1681, 24413, 11359, 8233, 31301, 289, 43671, 2919, 18, 7106, 16, 374, 10552, 22812, 1443, 31862, 17884, 282, 12564, 745, 17245, 18, 510, 6552, 530, 286, 520, 1337, 10566, 16, 912, 520, 2710, 17, 299, 3586, 35, 651, 2363, 329, 26900, 9522, 632, 2707, 301, 1427, 273, 18, 510, 981, 726, 281, 3990, 475, 6218, 16, 651, 2715, 26900, 10823, 18, 889, 898, 505, 4101, 1694, 309, 7433, 18, 38659, 832, 8946, 712, 1109, 16, 374, 12483, 6198, 322, 7052, 798, 10566, 304, 289, 840, 505, 29581, 1086, 478, 275, 293, 11036, 519, 6319, 267, 16968, 861, 478, 3001, 10954, 286, 371, 5305, 16715, 20481, 910, 510, 4725, 25236, 18, 40144, 2959, 14620, 5129, 7052, 798, 16, 12483, 18100, 973, 473, 679, 1947, 3495, 1219, 6964, 289, 5020, 9840, 310, 401, 6070, 13, 1320, 18, 14564, 8891, 1970, 289, 18061, 5835, 12258, 6535, 424, 44649, 281, 1032, 4120, 5021, 779, 18, 8891, 1970, 272, 639, 49837, 22204, 334, 279, 293, 18, 478, 264, 910, 478, 313, 910, 478, 273, 910, 478, 271, 470, 327, 18, 491, 422, 18, 27839, 473, 10709, 662, 1949, 1562, 934, 327, 18, 491, 289, 816, 422, 18, 3405, 22, 473, 32058, 6037, 451, 13684, 6617, 13, 289, 327, 18, 816, 422, 18, 816, 6462, 473, 6757, 841, 1700, 39840, 432, 6702, 13, 25295, 434, 19986, 18, 5835, 12258, 4434, 5820, 334, 279, 293, 18, 478, 313, 910, 478, 271, 470, 327, 18, 491, 422, 18, 27839, 473, 10709, 662, 13, 289, 327, 18, 491, 289, 816, 422, 18, 3405, 22, 473, 32058, 6037, 451, 13684, 6617, 13, 11828, 18, 640, 5606, 33691, 292, 3125, 26608, 4445, 2651, 16789, 309, 965, 16, 33160, 18629, 7768, 16, 374, 387, 782, 364, 289, 11367, 9840, 310, 401, 289, 3495, 1219, 48773, 282, 21945, 473, 960, 885, 5331, 17187, 8891, 1970, 14522, 1293, 445, 814, 21513, 8891, 1970, 9473, 360, 19163, 33014, 16, 21227, 16, 374, 4263, 697, 424, 5263, 1134, 18822, 276, 1195, 1360, 34293, 18, 640, 803, 1718, 2829, 14875, 6198, 26900, 9522, 18, 25295, 539, 1743, 8891, 22686, 289, 5835, 12258, 639, 44356, 282, 43788, 24413, 282, 10841, 978, 779, 18, 22000, 8165, 1293, 445, 3711, 22033, 1855, 510, 4686, 411, 17, 431, 322, 806, 382, 46518, 16, 367, 2512, 30466, 833, 8423, 8624, 41316, 16044, 17860, 4428, 5269, 18, 20451, 9840, 713, 289, 25486, 14398, 671, 401, 898, 17005, 2626, 309, 4429, 447, 14067, 582, 16, 1011, 3781, 17, 19858, 23394, 282, 478, 3096, 18077, 46142, 3781, 17, 31508, 470, 667, 3612, 5021, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 44316, 470, 30682, 595, 40985, 8955, 1195, 478, 15821, 9511, 910, 16118, 38331, 9543, 8553, 341, 2106, 1275, 1061, 3598, 33420, 1595, 7640, 17, 7745, 22964, 18, 6590, 35036, 21175, 47329, 294, 10717, 7811, 349, 2297, 1020, 643, 382, 16, 367, 4803, 2947, 873, 14662, 37897, 326, 282, 17281, 2095, 44200, 30423, 18, 31224, 30, 24868, 2384, 1313, 478, 15821, 486, 470, 302, 25020, 13437, 281, 478, 38238, 304, 470, 289, 1276, 31504, 282, 10717, 6550, 7492, 16287, 478, 29422, 343, 620, 910, 653, 7152, 525, 697, 687, 334, 19621, 445, 2827, 1763, 29576, 289, 40259, 1378, 42875, 18, 1178, 373, 4803, 2947, 873, 26869, 414, 478, 44316, 910, 745, 373, 20310, 322, 939, 6920, 6945, 16, 515, 475, 17, 2767, 19802, 360, 2511, 17, 361, 2223, 18, 1681, 11607, 2497, 20888, 8553, 341, 2106, 15043, 4247, 38816, 5901, 9806, 281, 478, 44316, 304, 861, 4320, 4966, 28003, 282, 5572, 25308, 913, 16, 1252, 313, 4172, 411, 4256, 290, 2466, 9691, 34447, 1421, 16, 3441, 29240, 48372, 289, 3441, 40900, 18, 1303, 1040, 3250, 2175, 26510, 1374, 16, 785, 4966, 16438, 282, 7638, 17, 326, 1484, 18, 640, 9837, 1119, 478, 15821, 486, 470, 537, 7633, 322, 9253, 1684, 18070, 1382, 17028, 282, 8267, 15678, 40657, 7561, 1175, 16, 411, 4256, 9691, 1472, 3441, 5295, 274, 294, 537, 19090, 18, 27025, 18324, 3505, 807, 6420, 600, 324, 8103, 13309, 282, 20971, 14520, 18, 365, 25881, 11258, 478, 44316, 470, 30682, 2287, 2566, 16, 411, 1129, 1658, 510, 1717, 1642, 18, 6682, 924, 16, 282, 4722, 445, 478, 919, 382, 470, 42100, 326, 371, 1634, 19424, 2165, 322, 2616, 17, 1796, 16, 367, 478, 45380, 910, 477, 12932, 1032, 30, 20, 18, 2112, 2900, 34457, 478, 15821, 486, 470, 50172, 322, 2879, 953, 4392, 324, 18, 5043, 16, 322, 2353, 17309, 290, 39566, 5157, 763, 360, 478, 35546, 526, 512, 24653, 470, 477, 12932, 2239, 30, 23, 18, 478, 44316, 470, 35201, 1642, 16, 515, 16, 428, 15075, 15713, 16, 895, 15893, 32325, 2606, 18, 478, 15821, 486, 470, 2742, 10133, 3872, 7556, 16, 12700, 16, 374, 17132, 1450, 16, 334, 20234, 14540, 16, 7908, 18, 478, 38238, 470, 289, 478, 29422, 3509, 470, 1617, 26070, 40900, 16, 453, 374, 282, 803, 28220, 478, 15821, 486, 910, 3848, 1223, 16, 8633, 309, 2287, 17, 277, 2468, 18, 1268, 31160, 820, 7646 ]
[ 1293, 34634, 25236, 478, 13555, 268, 540, 287, 470, 7550, 8454, 45373, 289, 726, 309, 27596, 20537, 4835, 3200, 36465, 478, 1615, 447, 6265, 470, 349, 13344, 879, 47953, 1279, 472, 412, 4970, 324, 18, 459, 481, 639, 16, 334, 8331, 475, 16, 309, 374, 478, 15821, 877, 470, 11576, 282, 3998, 4466, 18, 2112, 978, 10390, 540, 24877, 12807, 3467, 15014, 16, 1472, 20935, 32877, 4803, 2947, 4287, 21400, 506, 294, 24557, 18502, 14954, 18, 365, 502, 575, 808, 16, 478, 919, 382, 470, 445, 349, 14176, 40088, 1166, 23260, 607, 282, 35453, 10556, 668, 16, 289, 1176, 411, 1129, 27349, 6608, 15174, 18, 640, 3405, 17, 295, 20537, 1258, 262, 604, 15591, 262, 7730, 19783, 451, 5335, 16, 281, 3279, 6070, 403, 8469, 3930, 28291, 18, 2046, 7659, 19751, 16, 387, 16557, 11216, 411, 36725, 16, 7757, 282, 41124, 16, 360, 2024, 11216, 360, 11845, 282, 42808, 18, 391, 944, 293, 879, 16, 515, 475, 17, 2767, 774, 16, 289, 15014, 12596, 282, 20545, 18, 7200, 2826, 31328, 2083, 478, 15821, 486, 470, 35708, 1472, 309, 12060, 17, 295, 20537, 18, 33056, 439, 2266, 23270, 1646, 37103, 334, 24557, 1011, 38674, 281, 12070, 2776, 25613, 289, 2725, 37387, 401, 18, 740, 15000, 360, 978, 322, 639, 5522, 18, 9570, 478, 44316, 470, 749, 29372, 19957, 1475, 8999, 403, 8469, 12568, 1624, 374, 30330, 21583, 16865, 774, 304, 18, 640, 13323, 17, 295, 20537, 1258, 262, 604, 15591, 262, 3404, 22447, 309, 3782, 295, 344, 16, 1500, 19284, 11216, 2915, 16, 289, 18651, 6408, 42530, 13757, 3675, 15268, 454, 18, 403, 8469, 3930, 6979, 305, 18, 3782, 2736, 16, 2948, 510, 491, 30, 20, 282, 4356, 478, 919, 523, 861, 1591, 7422, 44056, 2950, 374, 26510, 1374, 18, 24899, 475, 1038, 2262, 7444, 27380, 839, 9868, 6125, 5135, 17, 299, 10938, 552, 329, 7889, 17701, 16, 515, 322, 3005, 34090, 411, 1634, 12780, 297, 4302, 44498, 2169, 18, 7200, 31328, 2083, 567, 7422, 44056, 329, 1252, 17028, 33529, 1472, 309, 20274, 17, 295, 20537, 18, 16589, 382, 1015, 38766, 360, 30556, 478, 13555, 268, 540, 287, 470, 289, 309, 1209, 850, 2244, 1721, 330, 294, 24557, 17701, 16, 289, 15880, 16, 374, 2564, 435, 505, 11011, 16, 510, 37848, 282, 8057, 360, 32896, 609, 4254, 18, 1895, 42515, 33421, 28253, 16, 289, 1500, 2928, 709, 1472, 9538, 979, 18, 740, 478, 15821, 486, 470, 7601, 455, 31328, 36725, 18, 6370, 20828, 521, 22533, 1721, 696, 536, 17192, 18322, 1652, 282, 37142, 16, 289, 16, 827, 373, 322, 2117, 18502, 14954, 16, 11216, 282, 26778, 373, 2820, 424, 34874, 888, 18, 31312, 2083, 3424, 35708, 478, 15821, 486, 470, 510, 475, 1500, 575, 16589, 382, 1015, 12298, 37103, 282, 13757, 883, 6421, 16, 515, 1858, 1968, 1957, 47487, 17701, 18, 8615, 19015, 478, 13555, 268, 540, 287, 470, 6506, 9446, 289, 34406, 2913, 668, 34565, 4548, 18, 1258, 262, 264, 389, 15591, 262, 3257, 2178, 717, 811, 1248, 2985, 2409, 4803, 21950, 4966, 289, 37103, 334, 24557, 18, 3759, 403, 8469, 3930, 272, 3711, 21986, 282, 5199, 289, 13076, 16, 374, 322, 2353, 282, 4907, 2662, 1472, 26118, 1398, 18, 16577, 1293, 1879, 22335, 364, 1577, 7730, 764, 1176, 31328, 5335, 411, 17, 431, 40293, 36725, 16, 289, 774, 34544, 7646, 282, 3099, 7237, 16, 367, 4836, 16, 3799, 547, 17386, 582, 360, 5442, 11216, 282, 3561, 25065, 272, 43340, 14457, 18, 38232, 17, 2460, 5933, 345, 10237, 29497, 40108, 289, 14212, 11216, 282, 42808, 16, 515, 16, 428, 5121, 16, 282, 2083, 10687, 1258, 262, 264, 389, 15591, 262, 43340, 512, 6820, 282, 6404, 11178, 476, 16, 289, 774, 322, 685, 3882, 759, 363, 18, 365, 5462, 582, 7977, 478, 44316, 470, 6088, 282, 24163, 1207, 18, 421, 6041, 1241, 315, 464, 16, 2454, 274, 309, 4577, 2734, 1143, 45798, 16, 4835, 3200, 36465, 36113, 35969, 29720, 349, 502, 16, 374, 282, 4605, 1161, 8384, 360, 14285, 1630, 11733, 432, 349, 3937, 45941, 282, 2283, 472, 412, 4970, 392, 18, 2667, 285, 862, 282, 1335, 9547, 28665, 392, 16, 289, 492, 282, 20844, 45144, 14084, 4577, 16, 6267, 1063, 6748, 4367, 10865, 2641, 18, 365, 6031, 16, 4966, 475, 3066, 6933, 282, 22428, 9536, 292, 18, 12467, 7734, 3437, 1879, 478, 15821, 1484, 470, 322, 11576, 309, 502, 16, 753, 2859, 43048, 319, 1830, 373, 1176, 11216, 16, 478, 44316, 470, 30682, 8955, 477, 12932, 491, 30, 20, 289, 1441, 1552, 341, 7192, 27548, 289, 43660, 4367, 2223, 281, 478, 789, 423, 635, 861, 439, 38331, 478, 15821, 607, 470, 9543, 8553, 341, 2106, 1275, 322, 3619, 360, 1634, 12525, 48087, 39459, 437, 29218, 6067, 18, 478, 18386, 18, 8381, 470, 14388, 42663, 8063, 17, 36951, 7977, 478, 44316, 470, 510, 478, 15821, 486, 861, 385, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 16228, 309, 7759, 7179, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 19911, 304, 8267, 12672, 14452, 478, 40747, 2394, 5579, 17, 14723, 470, 10514, 549, 20925, 1175, 19121, 555, 32856, 1051, 411, 19030, 18, 365, 2107, 9155, 4183, 2299, 14452, 7193, 5579, 17, 14723, 42100, 332, 18319, 291, 651, 816, 30, 20, 18, 31224, 30, 677, 9937, 41905, 8606, 60, 22197, 21487, 20665, 478, 40747, 2394, 5579, 17, 14723, 470, 281, 12070, 10514, 432, 44229, 4256, 2044, 289, 13856, 29077, 4966, 18, 1787, 10514, 432, 44229, 1175, 16, 26947, 16, 46463, 16, 19030, 289, 19992, 481, 1176, 411, 30386, 8547, 294, 4027, 552, 2422, 16, 1029, 8192, 282, 11023, 17, 1231, 342, 298, 282, 47501, 18, 20363, 668, 1175, 8418, 309, 20665, 16095, 10171, 3740, 18, 365, 5271, 4966, 7190, 23904, 421, 14933, 16, 367, 1038, 25236, 4944, 3873, 1204, 1624, 2390, 1815, 3216, 478, 21837, 399, 1034, 755, 277, 470, 411, 415, 14933, 18, 32418, 13086, 1147, 2384, 1616, 281, 12070, 44229, 1175, 289, 19030, 11563, 4416, 30776, 6169, 2585, 12037, 16, 282, 1754, 19809, 4119, 11347, 14211, 33459, 14452, 651, 14148, 2234, 9441, 278, 16, 367, 1038, 6556, 17, 791, 877, 4178, 382, 411, 4966, 334, 39168, 1147, 5594, 1433, 478, 43420, 488, 288, 861, 6831, 16568, 432, 7646, 685, 10193, 13205, 9680, 3183, 18416, 331, 18, 14078, 2117, 9601, 281, 5514, 17701, 18, 5890, 309, 4056, 20537, 329, 5251, 609, 685, 5280, 286, 1268, 3008, 3688, 1243, 1394, 18, 1895, 2935, 1086, 8198, 3732, 16432, 4923, 1153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1293, 34634, 25236, 478, 13555, 268, 540, 287, 470, 7550, 8454, 45373, 289, 726, 309, 27596, 20537, 4835, 3200, 36465, 478, 1615, 447, 6265, 470, 349, 13344, 879, 47953, 1279, 472, 412, 4970, 324, 18, 459, 481, 639, 16, 334, 8331, 475, 16, 309, 374, 478, 15821, 877, 470, 11576, 282, 3998, 4466, 18, 2112, 978, 10390, 540, 24877, 12807, 3467, 15014, 16, 1472, 20935, 32877, 4803, 2947, 4287, 21400, 506, 294, 24557, 18502, 14954, 18, 365, 502, 575, 808, 16, 478, 919, 382, 470, 445, 349, 14176, 40088, 1166, 23260, 607, 282, 35453, 10556, 668, 16, 289, 1176, 411, 1129, 27349, 6608, 15174, 18, 640, 3405, 17, 295, 20537, 1258, 262, 604, 15591, 262, 7730, 19783, 451, 5335, 16, 281, 3279, 6070, 403, 8469, 3930, 28291, 18, 2046, 7659, 19751, 16, 387, 16557, 11216, 411, 36725, 16, 7757, 282, 41124, 16, 360, 2024, 11216, 360, 11845, 282, 42808, 18, 391, 944, 293, 879, 16, 515, 475, 17, 2767, 774, 16, 289, 15014, 12596, 282, 20545, 18, 7200, 2826, 31328, 2083, 478, 15821, 486, 470, 35708, 1472, 309, 12060, 17, 295, 20537, 18, 33056, 439, 2266, 23270, 1646, 37103, 334, 24557, 1011, 38674, 281, 12070, 2776, 25613, 289, 2725, 37387, 401, 18, 740, 15000, 360, 978, 322, 639, 5522, 18, 9570, 478, 44316, 470, 749, 29372, 19957, 1475, 8999, 403, 8469, 12568, 1624, 374, 30330, 21583, 16865, 774, 304, 18, 640, 13323, 17, 295, 20537, 1258, 262, 604, 15591, 262, 3404, 22447, 309, 3782, 295, 344, 16, 1500, 19284, 11216, 2915, 16, 289, 18651, 6408, 42530, 13757, 3675, 15268, 454, 18, 403, 8469, 3930, 6979, 305, 18, 3782, 2736, 16, 2948, 510, 491, 30, 20, 282, 4356, 478, 919, 523, 861, 1591, 7422, 44056, 2950, 374, 26510, 1374, 18, 24899, 475, 1038, 2262, 7444, 27380, 839, 9868, 6125, 5135, 17, 299, 10938, 552, 329, 7889, 17701, 16, 515, 322, 3005, 34090, 411, 1634, 12780, 297, 4302, 44498, 2169, 18, 7200, 31328, 2083, 567, 7422, 44056, 329, 1252, 17028, 33529, 1472, 309, 20274, 17, 295, 20537, 18, 16589, 382, 1015, 38766, 360, 30556, 478, 13555, 268, 540, 287, 470, 289, 309, 1209, 850, 2244, 1721, 330, 294, 24557, 17701, 16, 289, 15880, 16, 374, 2564, 435, 505, 11011, 16, 510, 37848, 282, 8057, 360, 32896, 609, 4254, 18, 1895, 42515, 33421, 28253, 16, 289, 1500, 2928, 709, 1472, 9538, 979, 18, 740, 478, 15821, 486, 470, 7601, 455, 31328, 36725, 18, 6370, 20828, 521, 22533, 1721, 696, 536, 17192, 18322, 1652, 282, 37142, 16, 289, 16, 827, 373, 322, 2117, 18502, 14954, 16, 11216, 282, 26778, 373, 2820, 424, 34874, 888, 18, 31312, 2083, 3424, 35708, 478, 15821, 486, 470, 510, 475, 1500, 575, 16589, 382, 1015, 12298, 37103, 282, 13757, 883, 6421, 16, 515, 1858, 1968, 1957, 47487, 17701, 18, 8615, 19015, 478, 13555, 268, 540, 287, 470, 6506, 9446, 289, 34406, 2913, 668, 34565, 4548, 18, 1258, 262, 264, 389, 15591, 262, 3257, 2178, 717, 811, 1248, 2985, 2409, 4803, 21950, 4966, 289, 37103, 334, 24557, 18, 3759, 403, 8469, 3930, 272, 3711, 21986, 282, 5199, 289, 13076, 16, 374, 322, 2353, 282, 4907, 2662, 1472, 26118, 1398, 18, 16577, 1293, 1879, 22335, 364, 1577, 7730, 764, 1176, 31328, 5335, 411, 17, 431, 40293, 36725, 16, 289, 774, 34544, 7646, 282, 3099, 7237, 16, 367, 4836, 16, 3799, 547, 17386, 582, 360, 5442, 11216, 282, 3561, 25065, 272, 43340, 14457, 18, 38232, 17, 2460, 5933, 345, 10237, 29497, 40108, 289, 14212, 11216, 282, 42808, 16, 515, 16, 428, 5121, 16, 282, 2083, 10687, 1258, 262, 264, 389, 15591, 262, 43340, 512, 6820, 282, 6404, 11178, 476, 16, 289, 774, 322, 685, 3882, 759, 363, 18, 365, 5462, 582, 7977, 478, 44316, 470, 6088, 282, 24163, 1207, 18, 421, 6041, 1241, 315, 464, 16, 2454, 274, 309, 4577, 2734, 1143, 45798, 16, 4835, 3200, 36465, 36113, 35969, 29720, 349, 502, 16, 374, 282, 4605, 1161, 8384, 360, 14285, 1630, 11733, 432, 349, 3937, 45941, 282, 2283, 472, 412, 4970, 392, 18, 2667, 285, 862, 282, 1335, 9547, 28665, 392, 16, 289, 492, 282, 20844, 45144, 14084, 4577, 16, 6267, 1063, 6748, 4367, 10865, 2641, 18, 365, 6031, 16, 4966, 475, 3066, 6933, 282, 22428, 9536, 292, 18, 12467, 7734, 3437, 1879, 478, 15821, 1484, 470, 322, 11576, 309, 502, 16, 753, 2859, 43048, 319, 1830, 373, 1176, 11216, 16, 478, 44316, 470, 30682, 8955, 477, 12932, 491, 30, 20, 289, 1441, 1552, 341, 7192, 27548, 289, 43660, 4367, 2223, 281, 478, 789, 423, 635, 861, 439, 38331, 478, 15821, 607, 470, 9543, 8553, 341, 2106, 1275, 322, 3619, 360, 1634, 12525, 48087, 39459, 437, 29218, 6067, 18, 478, 18386, 18, 8381, 470, 14388, 42663, 8063, 17, 36951, 7977, 478, 44316, 470, 510, 478, 15821, 486, 861, 385, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 16228, 309, 7759, 7179, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 19911, 304, 8267, 12672, 14452, 478, 40747, 2394, 5579, 17, 14723, 470, 10514, 549, 20925, 1175, 19121, 555, 32856, 1051, 411, 19030, 18, 365, 2107, 9155, 4183, 2299, 14452, 7193, 5579, 17, 14723, 42100, 332, 18319, 291, 651, 816, 30, 20, 18, 31224, 30, 677, 9937, 41905, 8606, 60, 22197, 21487, 20665, 478, 40747, 2394, 5579, 17, 14723, 470, 281, 12070, 10514, 432, 44229, 4256, 2044, 289, 13856, 29077, 4966, 18, 1787, 10514, 432, 44229, 1175, 16, 26947, 16, 46463, 16, 19030, 289, 19992, 481, 1176, 411, 30386, 8547, 294, 4027, 552, 2422, 16, 1029, 8192, 282, 11023, 17, 1231, 342, 298, 282, 47501, 18, 20363, 668, 1175, 8418, 309, 20665, 16095, 10171, 3740, 18, 365, 5271, 4966, 7190, 23904, 421, 14933, 16, 367, 1038, 25236, 4944, 3873, 1204, 1624, 2390, 1815, 3216, 478, 21837, 399, 1034, 755, 277, 470, 411, 415, 14933, 18, 32418, 13086, 1147, 2384, 1616, 281, 12070, 44229, 1175, 289, 19030, 11563, 4416, 30776, 6169, 2585, 12037, 16, 282, 1754, 19809, 4119, 11347, 14211, 33459, 14452, 651, 14148, 2234, 9441, 278, 16, 367, 1038, 6556, 17, 791, 877, 4178, 382, 411, 4966, 334, 39168, 1147, 5594, 1433, 478, 43420, 488, 288, 861, 6831, 16568, 432, 7646, 685, 10193, 13205, 9680, 3183, 18416, 331, 18, 14078, 2117, 9601, 281, 5514, 17701, 18, 5890, 309, 4056, 20537, 329, 5251, 609, 685, 5280, 286, 1268, 3008, 3688, 1243, 1394, 18, 1895, 2935, 1086, 8198, 3732, 16432, 4923, 1153 ]
[ 10171, 14479, 322, 3225, 18, 824, 24557, 5251, 718, 774, 382, 2314, 30709, 21282, 608, 271, 21145, 2141, 322, 639, 11742, 537, 2236, 4744, 820, 18, 14373, 575, 12697, 16452, 26226, 7188, 21163, 282, 10717, 17701, 3227, 18238, 774, 304, 18, 385, 1371, 323, 416, 6688, 45204, 334, 24557, 40896, 3782, 1386, 2572, 401, 39914, 5335, 434, 42016, 7342, 7188, 21163, 2255, 405, 391, 306, 10057, 16, 289, 774, 34544, 7583, 478, 42359, 3832, 382, 470, 685, 4945, 37826, 18, 365, 5572, 29235, 22193, 266, 19089, 26216, 20726, 4605, 1195, 38175, 18, 18006, 289, 5907, 3400, 5280, 891, 18, 21855, 309, 41093, 10556, 1051, 4446, 326, 5251, 318, 16, 515, 1472, 281, 14515, 9868, 17234, 16452, 5952, 395, 3225, 21001, 8198, 3732, 16432, 18, 14153, 3782, 328, 29078, 1624, 2390, 1815, 3216, 478, 15664, 839, 457, 7470, 470, 411, 23268, 16968, 16, 28492, 23009, 309, 3227, 30547, 6972, 368, 30236, 1034, 1918, 1043, 18, 9300, 12954, 327, 12476, 718, 478, 789, 947, 1347, 470, 2948, 3221, 4165, 18, 1591, 2992, 1939, 17, 25822, 582, 4004, 4466, 322, 20951, 18, 40584, 891, 289, 329, 3217, 16, 289, 329, 2107, 4966, 639, 1269, 16, 289, 282, 22428, 9536, 292, 745, 3716, 322, 14725, 18, 41162, 16, 374, 475, 1421, 15277, 919, 898, 1763, 331, 10197, 282, 17270, 432, 9536, 292, 18, 7909, 13721, 271, 8440, 526, 391, 306, 10057, 16, 6541, 275, 349, 14895, 425, 42397, 3782, 328, 368, 401, 18, 4541, 726, 21188, 7583, 478, 42359, 3832, 382, 470, 49587, 2159, 19074, 6281, 309, 478, 22878, 21607, 861, 8071, 1289, 44380, 7342, 7188, 21163, 39993, 1122, 749, 16703, 287, 3338, 16452, 26226, 289, 10490, 20310, 15277, 919, 282, 1617, 8999, 18, 47785, 9528, 3782, 328, 29078, 289, 6729, 46729, 18, 365, 5897, 4699, 1939, 17, 25822, 582, 4966, 41173, 15277, 11569, 16, 367, 309, 16279, 17, 295, 20537, 282, 8999, 7646, 685, 9540, 28940, 5700, 18, 46594, 19030, 22474, 282, 11063, 289, 4147, 512, 455, 1364, 18871, 27165, 332, 9810, 15043, 16, 371, 21288, 1081, 46234, 18, 9300, 12954, 417, 10123, 718, 478, 1098, 1972, 470, 28562, 315, 36656, 36725, 6972, 368, 16, 1011, 1660, 9457, 5790, 906, 726, 46493, 18, 46594, 1175, 519, 5251, 1809, 949, 16946, 26405, 13342, 2159, 16432, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 44229, 1175, 334, 40730, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3765, 309, 9937, 478, 23739, 17, 5853, 14712, 262, 470, 2957, 3389, 19802, 282, 23708, 1809, 7756, 42361, 281, 478, 630, 2561, 3792, 323, 910, 2588, 50253, 1642, 567, 7422, 8267, 18, 27489, 1619, 12310, 28067, 5790, 1559, 8023, 297, 5146, 1815, 478, 18854, 2575, 267, 470, 21472, 4874, 9058, 18, 31224, 30, 677, 3765, 309, 9937, 6382, 2992, 10133, 23708, 1809, 7756, 42361, 16, 282, 2114, 478, 23739, 17, 5853, 14712, 262, 470, 13694, 478, 630, 2561, 292, 825, 470, 21032, 373, 726, 6622, 8735, 2532, 4694, 290, 1741, 7690, 478, 563, 872, 267, 910, 428, 481, 10063, 2874, 27386, 396, 48538, 9522, 14582, 18, 4185, 322, 3153, 38331, 478, 789, 27647, 470, 38758, 35050, 267, 290, 20312, 460, 265, 1634, 21166, 2466, 16, 381, 16715, 41503, 16, 961, 505, 7193, 322, 5304, 652, 11403, 16, 515, 5809, 5702, 28920, 18, 478, 23739, 17, 5853, 14712, 262, 470, 1055, 48538, 406, 282, 22979, 17, 21131, 18, 365, 3765, 309, 9937, 21166, 2497, 6211, 297, 486, 33773, 4254, 10313, 4667, 1939, 17, 306, 8955, 9410, 473, 267, 9752, 32671, 8900, 934, 374, 1623, 11529, 3663, 42361, 16, 1271, 743, 322, 687, 2159, 24374, 1949, 22044, 416, 28017, 16, 515, 289, 478, 40176, 9058, 267, 470, 24774, 6383, 17, 754, 16, 1029, 19625, 667, 17, 7821, 48305, 2566, 668, 19311, 282, 4056, 5251, 1809, 9547, 281, 478, 30731, 14313, 791, 355, 861, 7106, 16, 374, 478, 40176, 9058, 267, 470, 1655, 1559, 26109, 18, 608, 2616, 17, 299, 912, 9012, 282, 970, 16, 374, 10648, 272, 450, 8112, 392, 289, 478, 301, 1369, 2381, 470, 322, 334, 26246, 1852, 4256, 812, 34350, 4027, 353, 42361, 35, 5043, 16, 567, 2992, 9547, 23975, 2904, 294, 1190, 371, 27891, 322, 1673, 6964, 478, 18854, 2575, 267, 910, 367, 16708, 8023, 297, 5146, 1815, 21472, 4874, 9058, 18, 5890, 282, 20330, 464, 5790, 478, 301, 1369, 2381, 470, 3225, 7631, 282, 19802, 651, 2418, 30, 24, 18, 478, 5786, 2002, 322, 7319, 28148, 309, 20118, 281, 16213, 2156, 39164, 360, 21755, 16, 510, 1109, 5857, 10754, 18, 510, 3510, 656, 322, 7836, 16, 1660, 13446, 360, 6763, 16, 374, 14864, 18, 5093, 1139, 8714, 8607, 24226, 18, 1303, 10718, 4966, 16004, 8607, 24226, 861, 365, 6588, 360, 2411, 8317, 5790, 309, 1177, 445, 329, 478, 630, 2561, 3792, 276, 470, 322, 639, 20163, 309, 8955, 18, 9822, 562, 873, 21528, 4110, 309, 7266, 8698, 2095, 7977, 18, 459, 282, 14515, 23523, 697, 16432, 22356, 3405, 26654, 18, 450, 2305, 324, 35050, 507, 24661, 639, 15831, 649, 1907, 5790, 349, 2948, 453, 3847, 15577, 469, 2347, 16, 2700, 1712, 5210, 309, 4960, 1408, 16, 18392, 3860, 309, 36725, 5625, 16, 282, 4810, 16, 457, 1042, 361, 4246, 5700, 1138, 16, 1029, 7243, 1475, 1286, 411, 1912, 28570, 18, 4922, 45617, 965, 322, 5828, 5279, 18, 12092, 282, 5897, 4699, 1912, 17, 25822, 582, 478, 630, 2561, 3792, 263, 470, 3225, 10313, 1676, 6958, 4314, 8955, 18, 459, 785, 478, 27518, 5565, 313, 873, 470, 5009, 3467, 13303, 2235, 519, 10504, 12994, 16, 5857, 10754, 19346, 1423, 28747, 8235, 5167, 510, 4874, 17777, 16, 450, 8112, 324, 289, 28327, 1258, 375, 11740, 18, 9051, 2476, 628, 26450, 6279, 10556, 536, 12626, 555, 21094, 285, 44349, 343, 349, 5728, 25107, 935, 3225, 17422, 294, 7739, 3033, 309, 12295, 7518, 12994, 18, 439, 1696, 7387, 591, 263, 402, 884, 23523, 18, 740, 15014, 322, 20112, 3306, 289, 2558, 538, 1743, 519, 9764, 18, 2877, 17786, 590, 12788, 282, 415, 2561, 292, 825, 18, 640, 29510, 14597, 20113, 16355, 1262, 478, 789, 27647, 470, 26637, 965, 8686, 353, 18, 740, 1472, 2418, 1875, 4304, 349, 2651, 5901, 42361, 3225, 20850, 19311, 16, 42969, 1871, 5790, 309, 46144, 18, 459, 1055, 1003, 4302, 30245, 276, 2460, 294, 2222, 16, 374, 478, 23739, 17, 5853, 14712, 262, 470, 15536, 341, 282, 6566, 16702, 411, 4256, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10171, 14479, 322, 3225, 18, 824, 24557, 5251, 718, 774, 382, 2314, 30709, 21282, 608, 271, 21145, 2141, 322, 639, 11742, 537, 2236, 4744, 820, 18, 14373, 575, 12697, 16452, 26226, 7188, 21163, 282, 10717, 17701, 3227, 18238, 774, 304, 18, 385, 1371, 323, 416, 6688, 45204, 334, 24557, 40896, 3782, 1386, 2572, 401, 39914, 5335, 434, 42016, 7342, 7188, 21163, 2255, 405, 391, 306, 10057, 16, 289, 774, 34544, 7583, 478, 42359, 3832, 382, 470, 685, 4945, 37826, 18, 365, 5572, 29235, 22193, 266, 19089, 26216, 20726, 4605, 1195, 38175, 18, 18006, 289, 5907, 3400, 5280, 891, 18, 21855, 309, 41093, 10556, 1051, 4446, 326, 5251, 318, 16, 515, 1472, 281, 14515, 9868, 17234, 16452, 5952, 395, 3225, 21001, 8198, 3732, 16432, 18, 14153, 3782, 328, 29078, 1624, 2390, 1815, 3216, 478, 15664, 839, 457, 7470, 470, 411, 23268, 16968, 16, 28492, 23009, 309, 3227, 30547, 6972, 368, 30236, 1034, 1918, 1043, 18, 9300, 12954, 327, 12476, 718, 478, 789, 947, 1347, 470, 2948, 3221, 4165, 18, 1591, 2992, 1939, 17, 25822, 582, 4004, 4466, 322, 20951, 18, 40584, 891, 289, 329, 3217, 16, 289, 329, 2107, 4966, 639, 1269, 16, 289, 282, 22428, 9536, 292, 745, 3716, 322, 14725, 18, 41162, 16, 374, 475, 1421, 15277, 919, 898, 1763, 331, 10197, 282, 17270, 432, 9536, 292, 18, 7909, 13721, 271, 8440, 526, 391, 306, 10057, 16, 6541, 275, 349, 14895, 425, 42397, 3782, 328, 368, 401, 18, 4541, 726, 21188, 7583, 478, 42359, 3832, 382, 470, 49587, 2159, 19074, 6281, 309, 478, 22878, 21607, 861, 8071, 1289, 44380, 7342, 7188, 21163, 39993, 1122, 749, 16703, 287, 3338, 16452, 26226, 289, 10490, 20310, 15277, 919, 282, 1617, 8999, 18, 47785, 9528, 3782, 328, 29078, 289, 6729, 46729, 18, 365, 5897, 4699, 1939, 17, 25822, 582, 4966, 41173, 15277, 11569, 16, 367, 309, 16279, 17, 295, 20537, 282, 8999, 7646, 685, 9540, 28940, 5700, 18, 46594, 19030, 22474, 282, 11063, 289, 4147, 512, 455, 1364, 18871, 27165, 332, 9810, 15043, 16, 371, 21288, 1081, 46234, 18, 9300, 12954, 417, 10123, 718, 478, 1098, 1972, 470, 28562, 315, 36656, 36725, 6972, 368, 16, 1011, 1660, 9457, 5790, 906, 726, 46493, 18, 46594, 1175, 519, 5251, 1809, 949, 16946, 26405, 13342, 2159, 16432, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 44229, 1175, 334, 40730, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3765, 309, 9937, 478, 23739, 17, 5853, 14712, 262, 470, 2957, 3389, 19802, 282, 23708, 1809, 7756, 42361, 281, 478, 630, 2561, 3792, 323, 910, 2588, 50253, 1642, 567, 7422, 8267, 18, 27489, 1619, 12310, 28067, 5790, 1559, 8023, 297, 5146, 1815, 478, 18854, 2575, 267, 470, 21472, 4874, 9058, 18, 31224, 30, 677, 3765, 309, 9937, 6382, 2992, 10133, 23708, 1809, 7756, 42361, 16, 282, 2114, 478, 23739, 17, 5853, 14712, 262, 470, 13694, 478, 630, 2561, 292, 825, 470, 21032, 373, 726, 6622, 8735, 2532, 4694, 290, 1741, 7690, 478, 563, 872, 267, 910, 428, 481, 10063, 2874, 27386, 396, 48538, 9522, 14582, 18, 4185, 322, 3153, 38331, 478, 789, 27647, 470, 38758, 35050, 267, 290, 20312, 460, 265, 1634, 21166, 2466, 16, 381, 16715, 41503, 16, 961, 505, 7193, 322, 5304, 652, 11403, 16, 515, 5809, 5702, 28920, 18, 478, 23739, 17, 5853, 14712, 262, 470, 1055, 48538, 406, 282, 22979, 17, 21131, 18, 365, 3765, 309, 9937, 21166, 2497, 6211, 297, 486, 33773, 4254, 10313, 4667, 1939, 17, 306, 8955, 9410, 473, 267, 9752, 32671, 8900, 934, 374, 1623, 11529, 3663, 42361, 16, 1271, 743, 322, 687, 2159, 24374, 1949, 22044, 416, 28017, 16, 515, 289, 478, 40176, 9058, 267, 470, 24774, 6383, 17, 754, 16, 1029, 19625, 667, 17, 7821, 48305, 2566, 668, 19311, 282, 4056, 5251, 1809, 9547, 281, 478, 30731, 14313, 791, 355, 861, 7106, 16, 374, 478, 40176, 9058, 267, 470, 1655, 1559, 26109, 18, 608, 2616, 17, 299, 912, 9012, 282, 970, 16, 374, 10648, 272, 450, 8112, 392, 289, 478, 301, 1369, 2381, 470, 322, 334, 26246, 1852, 4256, 812, 34350, 4027, 353, 42361, 35, 5043, 16, 567, 2992, 9547, 23975, 2904, 294, 1190, 371, 27891, 322, 1673, 6964, 478, 18854, 2575, 267, 910, 367, 16708, 8023, 297, 5146, 1815, 21472, 4874, 9058, 18, 5890, 282, 20330, 464, 5790, 478, 301, 1369, 2381, 470, 3225, 7631, 282, 19802, 651, 2418, 30, 24, 18, 478, 5786, 2002, 322, 7319, 28148, 309, 20118, 281, 16213, 2156, 39164, 360, 21755, 16, 510, 1109, 5857, 10754, 18, 510, 3510, 656, 322, 7836, 16, 1660, 13446, 360, 6763, 16, 374, 14864, 18, 5093, 1139, 8714, 8607, 24226, 18, 1303, 10718, 4966, 16004, 8607, 24226, 861, 365, 6588, 360, 2411, 8317, 5790, 309, 1177, 445, 329, 478, 630, 2561, 3792, 276, 470, 322, 639, 20163, 309, 8955, 18, 9822, 562, 873, 21528, 4110, 309, 7266, 8698, 2095, 7977, 18, 459, 282, 14515, 23523, 697, 16432, 22356, 3405, 26654, 18, 450, 2305, 324, 35050, 507, 24661, 639, 15831, 649, 1907, 5790, 349, 2948, 453, 3847, 15577, 469, 2347, 16, 2700, 1712, 5210, 309, 4960, 1408, 16, 18392, 3860, 309, 36725, 5625, 16, 282, 4810, 16, 457, 1042, 361, 4246, 5700, 1138, 16, 1029, 7243, 1475, 1286, 411, 1912, 28570, 18, 4922, 45617, 965, 322, 5828, 5279, 18, 12092, 282, 5897, 4699, 1912, 17, 25822, 582, 478, 630, 2561, 3792, 263, 470, 3225, 10313, 1676, 6958, 4314, 8955, 18, 459, 785, 478, 27518, 5565, 313, 873, 470, 5009, 3467, 13303, 2235, 519, 10504, 12994, 16, 5857, 10754, 19346, 1423, 28747, 8235, 5167, 510, 4874, 17777, 16, 450, 8112, 324, 289, 28327, 1258, 375, 11740, 18, 9051, 2476, 628, 26450, 6279, 10556, 536, 12626, 555, 21094, 285, 44349, 343, 349, 5728, 25107, 935, 3225, 17422, 294, 7739, 3033, 309, 12295, 7518, 12994, 18, 439, 1696, 7387, 591, 263, 402, 884, 23523, 18, 740, 15014, 322, 20112, 3306, 289, 2558, 538, 1743, 519, 9764, 18, 2877, 17786, 590, 12788, 282, 415, 2561, 292, 825, 18, 640, 29510, 14597, 20113, 16355, 1262, 478, 789, 27647, 470, 26637, 965, 8686, 353, 18, 740, 1472, 2418, 1875, 4304, 349, 2651, 5901, 42361, 3225, 20850, 19311, 16, 42969, 1871, 5790, 309, 46144, 18, 459, 1055, 1003, 4302, 30245, 276, 2460, 294, 2222, 16, 374, 478, 23739, 17, 5853, 14712, 262, 470, 15536, 341, 282, 6566, 16702, 411, 4256, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18 ]
[ 2, 1, 87, 1456, 81, 2448, 30, 26404, 15244, 6798, 17, 5350, 1133, 14611, 282, 28578, 1212, 4993, 478, 293, 11591, 424, 12433, 470, 329, 30218, 18, 49085, 522, 1231, 282, 1078, 309, 43967, 13759, 394, 13279, 289, 22350, 268, 35392, 718, 10950, 291, 8566, 2145, 478, 267, 1000, 267, 4060, 4220, 470, 289, 34347, 364, 17877, 478, 404, 43043, 530, 451, 470, 289, 5577, 451, 5335, 1122, 16, 988, 18276, 322, 1747, 978, 13446, 18, 15394, 8392, 5800, 329, 22378, 12654, 30576, 10126, 451, 5447, 44678, 478, 730, 356, 17403, 8048, 1709, 470, 289, 2393, 9637, 11517, 2145, 289, 13340, 30576, 30218, 1589, 25020, 428, 9360, 4380, 18, 31224, 30, 672, 292, 522, 1231, 1858, 16684, 11173, 28376, 30, 5211, 35392, 1880, 10027, 1312, 14437, 684, 6925, 17576, 282, 11946, 16, 667, 3802, 16, 8348, 16, 282, 2114, 7064, 12654, 30576, 10211, 9196, 23614, 17877, 5335, 334, 2689, 4287, 478, 275, 44725, 808, 282, 3914, 547, 2468, 861, 478, 10245, 2004, 1453, 25836, 16, 334, 17, 12593, 16, 7476, 748, 538, 16, 18322, 18402, 2654, 424, 1379, 2283, 4380, 16, 14887, 7168, 21776, 428, 9360, 910, 510, 5130, 282, 23032, 47165, 6755, 18, 1895, 21638, 5211, 35392, 933, 11944, 906, 2282, 10516, 2972, 19692, 282, 28578, 1212, 4993, 329, 22378, 30218, 4153, 18498, 6798, 17, 5350, 3334, 14611, 353, 10950, 291, 2145, 289, 13340, 30576, 18, 8882, 512, 394, 13487, 2261, 3802, 289, 2125, 1103, 31451, 519, 4016, 3802, 18, 439, 8270, 2248, 549, 5335, 549, 4786, 35436, 2145, 16, 282, 2588, 8034, 10126, 451, 5447, 44678, 478, 730, 356, 17403, 8048, 1709, 910, 33709, 1211, 281, 22350, 268, 35392, 3334, 9640, 43967, 3193, 309, 4993, 289, 20864, 334, 2630, 18, 478, 730, 356, 17403, 8048, 1709, 470, 510, 48015, 17444, 323, 5335, 416, 3463, 35436, 2145, 282, 10440, 18, 817, 8034, 282, 2452, 385, 2761, 16310, 11604, 2145, 289, 6170, 435, 377, 1390, 309, 8312, 8285, 282, 5875, 368, 397, 272, 582, 18, 439, 8270, 44678, 16, 9727, 10574, 5512, 8711, 758, 4827, 8943, 16, 685, 42256, 286, 309, 5156, 1032, 3990, 8439, 779, 510, 785, 583, 4770, 8048, 1709, 685, 764, 1544, 18, 22376, 5447, 2248, 613, 4896, 816, 8976, 16, 28, 15052, 16, 11697, 31788, 2357, 510, 30137, 4500, 18, 7833, 18, 625, 39012, 313, 478, 16459, 35109, 8048, 14730, 26942, 510, 816, 4003, 1135, 16, 289, 764, 3436, 5737, 18133, 22124, 11656, 3271, 5447, 5355, 17106, 411, 6459, 15038, 289, 1533, 41562, 18, 3791, 47682, 2145, 289, 13340, 30576, 6450, 8394, 5668, 874, 289, 12807, 34305, 37328, 28166, 13436, 16, 4463, 11328, 30218, 18, 2949, 478, 730, 356, 35109, 8048, 14730, 470, 282, 14611, 292, 14963, 3455, 46728, 873, 8539, 55, 2109, 980, 14483, 289, 8539, 55, 860, 2716, 410, 6166, 9676, 5353, 339, 470, 289, 478, 8510, 3284, 470, 510, 478, 18386, 18, 8381, 12235, 3814, 33574, 11424, 29850, 17, 10763, 379, 2545, 13050, 4549, 48471, 416, 7225, 478, 732, 14475, 267, 470, 473, 37, 4353, 550, 510, 478, 1605, 607, 347, 910, 510, 478, 18386, 18, 8381, 11523, 16369, 478, 732, 14475, 267, 470, 8425, 43805, 29290, 541, 6198, 360, 37328, 23535, 8187, 11924, 289, 25312, 48108, 510, 4463, 1465, 8187, 1717, 2900, 4528, 30827, 30218, 8802, 289, 13798, 18, 7100, 16, 282, 13759, 2244, 1038, 25745, 10126, 549, 49473, 3854, 16, 22350, 268, 35392, 778, 14400, 19345, 37432, 44678, 478, 563, 5847, 356, 16529, 470, 289, 7827, 1505, 13917, 17251, 19208, 1185, 5110, 398, 527, 969, 17, 23, 9566, 692, 510, 753, 46000, 5998, 44534, 368, 1897, 434, 6763, 18, 7758, 282, 14611, 292, 11660, 3455, 519, 4317, 11412, 4447, 15964, 18, 3791, 44593, 44140, 1149, 17, 3114, 47, 16, 1149, 19, 37, 17, 2692, 289, 30085, 3047, 439, 17, 2479, 18, 15223, 2063, 662, 329, 49085, 522, 8582, 895, 22340, 1038, 289, 43367, 820, 15099, 13279, 24551, 431, 282, 5549, 16, 988, 12219, 14611, 18, 1268, 989, 478, 44930, 1265, 2506, 470, 49795, 309, 478, 348, 501, 6385, 8378, 750, 470, 6763, 16, 3110, 10027, 3254, 461, 76, 2051, 477, 7755, 309, 9637, 13156, 18, 3782, 399, 598, 265, 6946, 16, 8649, 16213, 978, 15099, 24551, 431, 1623, 30623, 783, 47889, 16558, 434, 2145, 4000, 670, 26755, 17567, 18, 4756, 9128, 19005, 14840, 30218, 371, 9085, 18801, 1540, 20609, 2815, 16, 374, 309, 2839, 1532, 1212, 34162, 478, 275, 3591, 2083, 895, 40090, 8711, 549, 6888, 861, 824, 505, 3163, 16, 537, 2197, 8768, 478, 404, 11060, 977, 4618, 28509, 1809, 289, 11165, 25514, 48068, 477, 1963, 2145, 910, 428, 30218, 18, 2876, 8881, 329, 49085, 522, 8582, 37328, 23535, 8187, 289, 37949, 25970, 1623, 478, 29154, 29060, 2559, 323, 334, 583, 3158, 25675, 861, 9418, 281, 867, 30218, 25349, 4619, 309, 12735, 281, 4778, 17986, 9085, 16, 9299, 18801, 1540, 20609, 18, 478, 16385, 2145, 16, 961, 18546, 12733, 467, 289, 31523, 675, 4364, 30218, 8711, 536, 11214, 16, 6815, 467, 4957, 290, 46223, 28481, 6617, 16, 30218, 322, 6924, 37043, 294, 39690, 910, 510, 4725, 2076, 13715, 8108, 347, 18, 2145, 3043, 5740, 8711, 539, 5472, 282, 13340, 41647, 16638, 282, 19817, 1045, 16, 5692, 18801, 1540, 20609, 16, 289, 478, 324, 7266, 7426, 4317, 986, 15244, 27177, 29620, 448, 9637, 14611, 910, 2714, 6503, 8485, 2257, 20024, 18, 5451, 35392, 778, 36971, 1038, 13744, 290, 33099, 14611, 292, 13340, 30576, 289, 2145, 13557, 7847, 779, 510, 1655, 478, 32278, 7593, 4500, 18, 1135, 33709, 1166, 7730, 468, 587, 4574, 6876, 10687, 334, 30218, 861, 10418, 3051, 2158, 282, 20175, 281, 9577, 5325, 44938, 1087, 15975, 2145, 15822, 267, 457, 364, 3327, 2612, 2815, 16, 374, 5037, 23127, 1642, 36176, 28565, 3957, 27270, 2839, 1532, 778, 9350, 9985, 12096, 6929, 18, 478, 789, 2381, 293, 322, 17973, 1531, 17651, 7812, 910, 510, 9299, 20974, 2450, 43265, 1778, 2145, 18, 2263, 575, 28565, 8164, 4703, 1033, 46418, 289, 17127, 1775, 10744, 510, 13205, 5222, 2815, 16, 374, 457, 364, 3327, 2612, 18783, 12317, 20489, 808, 16, 7206, 5245, 282, 9744, 281, 9444, 12654, 30576, 18, 478, 1358, 1109, 15822, 1508, 457, 364, 3327, 34569, 16, 11613, 4719, 29367, 1087, 12206, 2243, 16, 374, 492, 22597, 341, 808, 16, 7206, 21986, 282, 9744, 281, 478, 14375, 34172, 5406, 17, 48471, 323, 861, 478, 672, 348, 423, 607, 3402, 16, 15822, 267, 510, 656, 21882, 502, 16, 374, 2993, 953 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1, 87, 1456, 81, 2448, 30, 26404, 15244, 6798, 17, 5350, 1133, 14611, 282, 28578, 1212, 4993, 478, 293, 11591, 424, 12433, 470, 329, 30218, 18, 49085, 522, 1231, 282, 1078, 309, 43967, 13759, 394, 13279, 289, 22350, 268, 35392, 718, 10950, 291, 8566, 2145, 478, 267, 1000, 267, 4060, 4220, 470, 289, 34347, 364, 17877, 478, 404, 43043, 530, 451, 470, 289, 5577, 451, 5335, 1122, 16, 988, 18276, 322, 1747, 978, 13446, 18, 15394, 8392, 5800, 329, 22378, 12654, 30576, 10126, 451, 5447, 44678, 478, 730, 356, 17403, 8048, 1709, 470, 289, 2393, 9637, 11517, 2145, 289, 13340, 30576, 30218, 1589, 25020, 428, 9360, 4380, 18, 31224, 30, 672, 292, 522, 1231, 1858, 16684, 11173, 28376, 30, 5211, 35392, 1880, 10027, 1312, 14437, 684, 6925, 17576, 282, 11946, 16, 667, 3802, 16, 8348, 16, 282, 2114, 7064, 12654, 30576, 10211, 9196, 23614, 17877, 5335, 334, 2689, 4287, 478, 275, 44725, 808, 282, 3914, 547, 2468, 861, 478, 10245, 2004, 1453, 25836, 16, 334, 17, 12593, 16, 7476, 748, 538, 16, 18322, 18402, 2654, 424, 1379, 2283, 4380, 16, 14887, 7168, 21776, 428, 9360, 910, 510, 5130, 282, 23032, 47165, 6755, 18, 1895, 21638, 5211, 35392, 933, 11944, 906, 2282, 10516, 2972, 19692, 282, 28578, 1212, 4993, 329, 22378, 30218, 4153, 18498, 6798, 17, 5350, 3334, 14611, 353, 10950, 291, 2145, 289, 13340, 30576, 18, 8882, 512, 394, 13487, 2261, 3802, 289, 2125, 1103, 31451, 519, 4016, 3802, 18, 439, 8270, 2248, 549, 5335, 549, 4786, 35436, 2145, 16, 282, 2588, 8034, 10126, 451, 5447, 44678, 478, 730, 356, 17403, 8048, 1709, 910, 33709, 1211, 281, 22350, 268, 35392, 3334, 9640, 43967, 3193, 309, 4993, 289, 20864, 334, 2630, 18, 478, 730, 356, 17403, 8048, 1709, 470, 510, 48015, 17444, 323, 5335, 416, 3463, 35436, 2145, 282, 10440, 18, 817, 8034, 282, 2452, 385, 2761, 16310, 11604, 2145, 289, 6170, 435, 377, 1390, 309, 8312, 8285, 282, 5875, 368, 397, 272, 582, 18, 439, 8270, 44678, 16, 9727, 10574, 5512, 8711, 758, 4827, 8943, 16, 685, 42256, 286, 309, 5156, 1032, 3990, 8439, 779, 510, 785, 583, 4770, 8048, 1709, 685, 764, 1544, 18, 22376, 5447, 2248, 613, 4896, 816, 8976, 16, 28, 15052, 16, 11697, 31788, 2357, 510, 30137, 4500, 18, 7833, 18, 625, 39012, 313, 478, 16459, 35109, 8048, 14730, 26942, 510, 816, 4003, 1135, 16, 289, 764, 3436, 5737, 18133, 22124, 11656, 3271, 5447, 5355, 17106, 411, 6459, 15038, 289, 1533, 41562, 18, 3791, 47682, 2145, 289, 13340, 30576, 6450, 8394, 5668, 874, 289, 12807, 34305, 37328, 28166, 13436, 16, 4463, 11328, 30218, 18, 2949, 478, 730, 356, 35109, 8048, 14730, 470, 282, 14611, 292, 14963, 3455, 46728, 873, 8539, 55, 2109, 980, 14483, 289, 8539, 55, 860, 2716, 410, 6166, 9676, 5353, 339, 470, 289, 478, 8510, 3284, 470, 510, 478, 18386, 18, 8381, 12235, 3814, 33574, 11424, 29850, 17, 10763, 379, 2545, 13050, 4549, 48471, 416, 7225, 478, 732, 14475, 267, 470, 473, 37, 4353, 550, 510, 478, 1605, 607, 347, 910, 510, 478, 18386, 18, 8381, 11523, 16369, 478, 732, 14475, 267, 470, 8425, 43805, 29290, 541, 6198, 360, 37328, 23535, 8187, 11924, 289, 25312, 48108, 510, 4463, 1465, 8187, 1717, 2900, 4528, 30827, 30218, 8802, 289, 13798, 18, 7100, 16, 282, 13759, 2244, 1038, 25745, 10126, 549, 49473, 3854, 16, 22350, 268, 35392, 778, 14400, 19345, 37432, 44678, 478, 563, 5847, 356, 16529, 470, 289, 7827, 1505, 13917, 17251, 19208, 1185, 5110, 398, 527, 969, 17, 23, 9566, 692, 510, 753, 46000, 5998, 44534, 368, 1897, 434, 6763, 18, 7758, 282, 14611, 292, 11660, 3455, 519, 4317, 11412, 4447, 15964, 18, 3791, 44593, 44140, 1149, 17, 3114, 47, 16, 1149, 19, 37, 17, 2692, 289, 30085, 3047, 439, 17, 2479, 18, 15223, 2063, 662, 329, 49085, 522, 8582, 895, 22340, 1038, 289, 43367, 820, 15099, 13279, 24551, 431, 282, 5549, 16, 988, 12219, 14611, 18, 1268, 989, 478, 44930, 1265, 2506, 470, 49795, 309, 478, 348, 501, 6385, 8378, 750, 470, 6763, 16, 3110, 10027, 3254, 461, 76, 2051, 477, 7755, 309, 9637, 13156, 18, 3782, 399, 598, 265, 6946, 16, 8649, 16213, 978, 15099, 24551, 431, 1623, 30623, 783, 47889, 16558, 434, 2145, 4000, 670, 26755, 17567, 18, 4756, 9128, 19005, 14840, 30218, 371, 9085, 18801, 1540, 20609, 2815, 16, 374, 309, 2839, 1532, 1212, 34162, 478, 275, 3591, 2083, 895, 40090, 8711, 549, 6888, 861, 824, 505, 3163, 16, 537, 2197, 8768, 478, 404, 11060, 977, 4618, 28509, 1809, 289, 11165, 25514, 48068, 477, 1963, 2145, 910, 428, 30218, 18, 2876, 8881, 329, 49085, 522, 8582, 37328, 23535, 8187, 289, 37949, 25970, 1623, 478, 29154, 29060, 2559, 323, 334, 583, 3158, 25675, 861, 9418, 281, 867, 30218, 25349, 4619, 309, 12735, 281, 4778, 17986, 9085, 16, 9299, 18801, 1540, 20609, 18, 478, 16385, 2145, 16, 961, 18546, 12733, 467, 289, 31523, 675, 4364, 30218, 8711, 536, 11214, 16, 6815, 467, 4957, 290, 46223, 28481, 6617, 16, 30218, 322, 6924, 37043, 294, 39690, 910, 510, 4725, 2076, 13715, 8108, 347, 18, 2145, 3043, 5740, 8711, 539, 5472, 282, 13340, 41647, 16638, 282, 19817, 1045, 16, 5692, 18801, 1540, 20609, 16, 289, 478, 324, 7266, 7426, 4317, 986, 15244, 27177, 29620, 448, 9637, 14611, 910, 2714, 6503, 8485, 2257, 20024, 18, 5451, 35392, 778, 36971, 1038, 13744, 290, 33099, 14611, 292, 13340, 30576, 289, 2145, 13557, 7847, 779, 510, 1655, 478, 32278, 7593, 4500, 18, 1135, 33709, 1166, 7730, 468, 587, 4574, 6876, 10687, 334, 30218, 861, 10418, 3051, 2158, 282, 20175, 281, 9577, 5325, 44938, 1087, 15975, 2145, 15822, 267, 457, 364, 3327, 2612, 2815, 16, 374, 5037, 23127, 1642, 36176, 28565, 3957, 27270, 2839, 1532, 778, 9350, 9985, 12096, 6929, 18, 478, 789, 2381, 293, 322, 17973, 1531, 17651, 7812, 910, 510, 9299, 20974, 2450, 43265, 1778, 2145, 18, 2263, 575, 28565, 8164, 4703, 1033, 46418, 289, 17127, 1775, 10744, 510, 13205, 5222, 2815, 16, 374, 457, 364, 3327, 2612, 18783, 12317, 20489, 808, 16, 7206, 5245, 282, 9744, 281, 9444, 12654, 30576, 18, 478, 1358, 1109, 15822, 1508, 457, 364, 3327, 34569, 16, 11613, 4719, 29367, 1087, 12206, 2243, 16, 374, 492, 22597, 341, 808, 16, 7206, 21986, 282, 9744, 281, 478, 14375, 34172, 5406, 17, 48471, 323, 861, 478, 672, 348, 423, 607, 3402, 16, 15822, 267, 510, 656, 21882, 502, 16, 374, 2993, 953 ]
[ 11742, 910, 510, 6463, 282, 43287, 4770, 2145, 18, 478, 15035, 5386, 264, 6180, 8885, 2450, 476, 513, 2145, 1747, 30440, 16, 1055, 322, 24973, 487, 5487, 23694, 910, 510, 2815, 867, 322, 2619, 457, 364, 3327, 2612, 18, 2, 1, 87, 1456, 81, 2448, 30, 35485, 10093, 11854, 322, 33337, 282, 25706, 5973, 933, 19689, 9437, 30, 13638, 1251, 17786, 353, 24340, 5891, 5802, 1223, 2511, 9, 2954, 16, 36379, 9481, 344, 30842, 18, 608, 11248, 11854, 1139, 1003, 4135, 309, 9903, 282, 4701, 46551, 18, 45235, 1157, 6881, 16, 374, 33462, 16741, 282, 4884, 13399, 6377, 530, 7583, 16211, 18, 31224, 30, 1659, 17772, 11854, 16, 961, 1747, 3624, 282, 5973, 1133, 21332, 16, 349, 1421, 779, 33725, 282, 430, 16, 25, 4570, 18, 403, 13265, 14728, 6498, 34450, 21086, 19868, 78, 4166, 334, 8872, 29836, 47513, 9983, 18, 640, 1247, 30, 478, 7560, 387, 27092, 5848, 5973, 1133, 21332, 910, 1760, 9, 36379, 20137, 30, 478, 324, 3705, 861, 967, 970, 16, 374, 764, 282, 4018, 1045, 2567, 639, 1223, 1286, 7418, 367, 282, 4145, 336, 18, 510, 1533, 5999, 5315, 33982, 34240, 9481, 344, 13954, 34724, 16, 374, 687, 2511, 9, 11854, 39040, 13638, 1251, 5973, 3334, 3113, 3317, 16, 753, 32639, 1190, 30720, 16, 367, 1033, 11678, 11854, 510, 5259, 9, 36379, 510, 1747, 3624, 282, 870, 4701, 282, 31016, 9484, 18, 7106, 16, 282, 803, 1045, 411, 17, 431, 46831, 11848, 432, 2868, 18952, 2986, 38316, 1871, 7756, 25706, 27766, 282, 11366, 18, 889, 16544, 549, 15713, 289, 678, 478, 26296, 1102, 2582, 22360, 13848, 46269, 9903, 16, 367, 1038, 12034, 1398, 34656, 1519, 25554, 808, 910, 44893, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 3569, 28085, 347, 1175, 18, 478, 677, 3998, 3598, 16741, 282, 2630, 281, 10659, 1134, 1103, 47212, 281, 430, 334, 1061, 3598, 16, 4426, 17200, 1433, 27276, 21294, 289, 5197, 16, 367, 1038, 281, 1658, 334, 1912, 3598, 282, 2630, 281, 25740, 14977, 910, 376, 44893, 282, 19591, 344, 476, 18, 24106, 16, 374, 1251, 5512, 17786, 353, 27766, 1223, 1421, 7898, 2299, 18, 36344, 13600, 268, 4693, 697, 282, 2948, 21488, 670, 360, 877, 1388, 289, 14919, 1190, 17574, 30720, 16, 2686, 11721, 1190, 481, 1698, 3964, 322, 475, 18, 1895, 436, 15567, 548, 281, 7993, 2840, 360, 3610, 4500, 18, 1671, 18, 302, 12978, 47131, 4693, 13638, 5511, 11854, 16, 12254, 9991, 2619, 2555, 4500, 18, 1671, 18, 473, 3902, 289, 1658, 9, 8774, 814, 439, 3440, 1223, 18090, 4693, 13638, 2496, 13963, 519, 3436, 986, 376, 1223, 1409, 5999, 6592, 6661, 411, 7426, 653, 8783, 41230, 5500, 15008, 11758, 12213, 473, 677, 3127, 28899, 780, 934, 329, 11248, 11854, 1139, 1003, 4135, 309, 502, 16, 753, 2319, 17, 299, 38267, 309, 5973, 1133, 21332, 18, 12126, 1871, 24701, 3338, 36283, 510, 19595, 9, 510, 23566, 5848, 5973, 1133, 21332, 1642, 16, 6603, 9, 510, 309, 581, 4267, 13157, 18, 2681, 1061, 9, 41618, 7187, 373, 18603, 349, 12127, 16, 764, 1032, 9, 510, 13676, 282, 8773, 289, 4443, 575, 510, 282, 2393, 28308, 1175, 18, 14405, 5869, 16, 2006, 50080, 6979, 282, 30720, 329, 1129, 322, 9040, 16, 7431, 5953, 9, 11854, 7788, 505, 3512, 291, 511, 392, 18, 985, 4419, 5095, 26646, 334, 21550, 478, 46088, 18, 8381, 470, 4772, 17, 39918, 1013, 334, 13486, 26716, 16, 282, 803, 1045, 13565, 282, 4701, 5973, 933, 24340, 27375, 414, 309, 2287, 9, 309, 9558, 547, 26402, 289, 1533, 17, 2783, 9, 309, 27762, 364, 1254, 18, 2227, 1254, 349, 12127, 289, 4521, 2458, 15341, 309, 2418, 5999, 824, 3761, 8308, 49050, 349, 11826, 1205, 16, 961, 898, 31323, 282, 3998, 4238, 16, 10711, 10546, 19186, 6956, 322, 895, 11721, 1190, 2552, 1205, 3441, 5284, 21488, 8197, 1844, 1642, 16, 367, 14596, 4481, 322, 895, 26328, 3977, 7646, 309, 9288, 18, 6592, 47589, 2241, 1059, 6098, 34538, 290, 9240, 582, 7043, 7438, 15454, 434, 22506, 16, 1033, 11678, 11854, 5009, 3467, 1617, 11608, 309, 9520, 289, 26167, 18, 365, 1967, 4190, 475, 5511, 39811, 40608, 21398, 3400, 46551, 282, 4008, 18, 824, 4734, 14886, 16, 12581, 16741, 4702, 28266, 309, 22945, 282, 4008, 18, 996, 16, 7638, 17, 13522, 1175, 6370, 16640, 5860, 16295, 282, 8151, 3612, 290, 25706, 48153, 3113, 7478, 282, 26155, 1045, 30, 478, 40806, 329, 813, 21332, 939, 12581, 655, 1787, 7234, 481, 4702, 16, 1548, 374, 3716, 2418, 2868, 8768, 2950, 1660, 15156, 289, 939, 1904, 478, 370, 482, 2358, 861, 824, 4734, 14971, 16, 478, 293, 2729, 21444, 470, 13312, 16211, 2407, 1623, 3872, 3953, 10493, 18, 26632, 783, 25706, 27766, 282, 1175, 21312, 4164, 20213, 1611, 19528, 5197, 16, 5315, 23751, 18165, 6187, 2241, 478, 8510, 307, 36317, 307, 470, 3720, 14708, 1356, 18, 27285, 360, 2734, 2619, 16885, 27766, 2868, 282, 11366, 20489, 1965, 2500, 30, 895, 953, 16, 30503, 371, 20821, 17850, 349, 1205, 4362, 36968, 309, 2239, 16, 8365, 13064, 434, 12188, 16, 322, 1033, 16, 10050, 12189, 18, 4824, 411, 7934, 47577, 291, 7019, 282, 2100, 17401, 718, 22506, 1314, 5702, 7174, 637, 289, 749, 12724, 24340, 16, 26698, 31333, 41330, 478, 983, 9827, 21575, 470, 4210, 16276, 404, 343, 18, 985, 2834, 1947, 16, 453, 289, 1702, 4325, 271, 4247, 19665, 883, 3952, 8547, 294, 2733, 19689, 6500, 16, 2391, 282, 1335, 30424, 7006, 520, 942, 13446, 4700, 17, 3697, 1479, 5473, 851, 2516, 44446, 11270, 670, 5836, 42973, 45894, 4568, 13484, 18, 967, 803, 478, 2460, 5933, 659, 304, 470, 7019, 7583, 7234, 5702, 18836, 549, 10147, 1321, 16, 309, 2588, 42452, 4701, 322, 26540, 5608, 17, 3697, 12724, 16, 26698, 12189, 18, 478, 672, 4799, 382, 1903, 17651, 3860, 7179, 7019, 281, 37439, 25706, 24340, 282, 4008, 16, 309, 1379, 2193, 16, 3929, 1472, 5474, 3924, 360, 21539, 5348, 334, 15166, 12588, 432, 1791, 7583, 32901, 5197, 18, 4635, 7814, 37948, 8786, 16, 10308, 1587, 13342, 33732, 5197, 16, 1623, 3348, 411, 14006, 16, 322, 10308, 1587, 16794, 24761, 6591, 309, 10287, 448, 39960, 282, 4190, 4116, 7773, 35501, 44273, 910, 510, 3893, 4210, 16276, 404, 343, 18, 6592, 12197, 554, 35317, 12318, 11993, 289, 3281, 473, 630, 1605, 10800, 934, 3771, 8034, 282, 2845, 15676, 3322, 23006, 2044, 18, 365, 7847, 779, 282, 11099, 26062, 19521, 349, 10878, 10423, 3139, 18, 9133, 1946, 16317, 687, 282, 46191, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11742, 910, 510, 6463, 282, 43287, 4770, 2145, 18, 478, 15035, 5386, 264, 6180, 8885, 2450, 476, 513, 2145, 1747, 30440, 16, 1055, 322, 24973, 487, 5487, 23694, 910, 510, 2815, 867, 322, 2619, 457, 364, 3327, 2612, 18, 2, 1, 87, 1456, 81, 2448, 30, 35485, 10093, 11854, 322, 33337, 282, 25706, 5973, 933, 19689, 9437, 30, 13638, 1251, 17786, 353, 24340, 5891, 5802, 1223, 2511, 9, 2954, 16, 36379, 9481, 344, 30842, 18, 608, 11248, 11854, 1139, 1003, 4135, 309, 9903, 282, 4701, 46551, 18, 45235, 1157, 6881, 16, 374, 33462, 16741, 282, 4884, 13399, 6377, 530, 7583, 16211, 18, 31224, 30, 1659, 17772, 11854, 16, 961, 1747, 3624, 282, 5973, 1133, 21332, 16, 349, 1421, 779, 33725, 282, 430, 16, 25, 4570, 18, 403, 13265, 14728, 6498, 34450, 21086, 19868, 78, 4166, 334, 8872, 29836, 47513, 9983, 18, 640, 1247, 30, 478, 7560, 387, 27092, 5848, 5973, 1133, 21332, 910, 1760, 9, 36379, 20137, 30, 478, 324, 3705, 861, 967, 970, 16, 374, 764, 282, 4018, 1045, 2567, 639, 1223, 1286, 7418, 367, 282, 4145, 336, 18, 510, 1533, 5999, 5315, 33982, 34240, 9481, 344, 13954, 34724, 16, 374, 687, 2511, 9, 11854, 39040, 13638, 1251, 5973, 3334, 3113, 3317, 16, 753, 32639, 1190, 30720, 16, 367, 1033, 11678, 11854, 510, 5259, 9, 36379, 510, 1747, 3624, 282, 870, 4701, 282, 31016, 9484, 18, 7106, 16, 282, 803, 1045, 411, 17, 431, 46831, 11848, 432, 2868, 18952, 2986, 38316, 1871, 7756, 25706, 27766, 282, 11366, 18, 889, 16544, 549, 15713, 289, 678, 478, 26296, 1102, 2582, 22360, 13848, 46269, 9903, 16, 367, 1038, 12034, 1398, 34656, 1519, 25554, 808, 910, 44893, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 3569, 28085, 347, 1175, 18, 478, 677, 3998, 3598, 16741, 282, 2630, 281, 10659, 1134, 1103, 47212, 281, 430, 334, 1061, 3598, 16, 4426, 17200, 1433, 27276, 21294, 289, 5197, 16, 367, 1038, 281, 1658, 334, 1912, 3598, 282, 2630, 281, 25740, 14977, 910, 376, 44893, 282, 19591, 344, 476, 18, 24106, 16, 374, 1251, 5512, 17786, 353, 27766, 1223, 1421, 7898, 2299, 18, 36344, 13600, 268, 4693, 697, 282, 2948, 21488, 670, 360, 877, 1388, 289, 14919, 1190, 17574, 30720, 16, 2686, 11721, 1190, 481, 1698, 3964, 322, 475, 18, 1895, 436, 15567, 548, 281, 7993, 2840, 360, 3610, 4500, 18, 1671, 18, 302, 12978, 47131, 4693, 13638, 5511, 11854, 16, 12254, 9991, 2619, 2555, 4500, 18, 1671, 18, 473, 3902, 289, 1658, 9, 8774, 814, 439, 3440, 1223, 18090, 4693, 13638, 2496, 13963, 519, 3436, 986, 376, 1223, 1409, 5999, 6592, 6661, 411, 7426, 653, 8783, 41230, 5500, 15008, 11758, 12213, 473, 677, 3127, 28899, 780, 934, 329, 11248, 11854, 1139, 1003, 4135, 309, 502, 16, 753, 2319, 17, 299, 38267, 309, 5973, 1133, 21332, 18, 12126, 1871, 24701, 3338, 36283, 510, 19595, 9, 510, 23566, 5848, 5973, 1133, 21332, 1642, 16, 6603, 9, 510, 309, 581, 4267, 13157, 18, 2681, 1061, 9, 41618, 7187, 373, 18603, 349, 12127, 16, 764, 1032, 9, 510, 13676, 282, 8773, 289, 4443, 575, 510, 282, 2393, 28308, 1175, 18, 14405, 5869, 16, 2006, 50080, 6979, 282, 30720, 329, 1129, 322, 9040, 16, 7431, 5953, 9, 11854, 7788, 505, 3512, 291, 511, 392, 18, 985, 4419, 5095, 26646, 334, 21550, 478, 46088, 18, 8381, 470, 4772, 17, 39918, 1013, 334, 13486, 26716, 16, 282, 803, 1045, 13565, 282, 4701, 5973, 933, 24340, 27375, 414, 309, 2287, 9, 309, 9558, 547, 26402, 289, 1533, 17, 2783, 9, 309, 27762, 364, 1254, 18, 2227, 1254, 349, 12127, 289, 4521, 2458, 15341, 309, 2418, 5999, 824, 3761, 8308, 49050, 349, 11826, 1205, 16, 961, 898, 31323, 282, 3998, 4238, 16, 10711, 10546, 19186, 6956, 322, 895, 11721, 1190, 2552, 1205, 3441, 5284, 21488, 8197, 1844, 1642, 16, 367, 14596, 4481, 322, 895, 26328, 3977, 7646, 309, 9288, 18, 6592, 47589, 2241, 1059, 6098, 34538, 290, 9240, 582, 7043, 7438, 15454, 434, 22506, 16, 1033, 11678, 11854, 5009, 3467, 1617, 11608, 309, 9520, 289, 26167, 18, 365, 1967, 4190, 475, 5511, 39811, 40608, 21398, 3400, 46551, 282, 4008, 18, 824, 4734, 14886, 16, 12581, 16741, 4702, 28266, 309, 22945, 282, 4008, 18, 996, 16, 7638, 17, 13522, 1175, 6370, 16640, 5860, 16295, 282, 8151, 3612, 290, 25706, 48153, 3113, 7478, 282, 26155, 1045, 30, 478, 40806, 329, 813, 21332, 939, 12581, 655, 1787, 7234, 481, 4702, 16, 1548, 374, 3716, 2418, 2868, 8768, 2950, 1660, 15156, 289, 939, 1904, 478, 370, 482, 2358, 861, 824, 4734, 14971, 16, 478, 293, 2729, 21444, 470, 13312, 16211, 2407, 1623, 3872, 3953, 10493, 18, 26632, 783, 25706, 27766, 282, 1175, 21312, 4164, 20213, 1611, 19528, 5197, 16, 5315, 23751, 18165, 6187, 2241, 478, 8510, 307, 36317, 307, 470, 3720, 14708, 1356, 18, 27285, 360, 2734, 2619, 16885, 27766, 2868, 282, 11366, 20489, 1965, 2500, 30, 895, 953, 16, 30503, 371, 20821, 17850, 349, 1205, 4362, 36968, 309, 2239, 16, 8365, 13064, 434, 12188, 16, 322, 1033, 16, 10050, 12189, 18, 4824, 411, 7934, 47577, 291, 7019, 282, 2100, 17401, 718, 22506, 1314, 5702, 7174, 637, 289, 749, 12724, 24340, 16, 26698, 31333, 41330, 478, 983, 9827, 21575, 470, 4210, 16276, 404, 343, 18, 985, 2834, 1947, 16, 453, 289, 1702, 4325, 271, 4247, 19665, 883, 3952, 8547, 294, 2733, 19689, 6500, 16, 2391, 282, 1335, 30424, 7006, 520, 942, 13446, 4700, 17, 3697, 1479, 5473, 851, 2516, 44446, 11270, 670, 5836, 42973, 45894, 4568, 13484, 18, 967, 803, 478, 2460, 5933, 659, 304, 470, 7019, 7583, 7234, 5702, 18836, 549, 10147, 1321, 16, 309, 2588, 42452, 4701, 322, 26540, 5608, 17, 3697, 12724, 16, 26698, 12189, 18, 478, 672, 4799, 382, 1903, 17651, 3860, 7179, 7019, 281, 37439, 25706, 24340, 282, 4008, 16, 309, 1379, 2193, 16, 3929, 1472, 5474, 3924, 360, 21539, 5348, 334, 15166, 12588, 432, 1791, 7583, 32901, 5197, 18, 4635, 7814, 37948, 8786, 16, 10308, 1587, 13342, 33732, 5197, 16, 1623, 3348, 411, 14006, 16, 322, 10308, 1587, 16794, 24761, 6591, 309, 10287, 448, 39960, 282, 4190, 4116, 7773, 35501, 44273, 910, 510, 3893, 4210, 16276, 404, 343, 18, 6592, 12197, 554, 35317, 12318, 11993, 289, 3281, 473, 630, 1605, 10800, 934, 3771, 8034, 282, 2845, 15676, 3322, 23006, 2044, 18, 365, 7847, 779, 282, 11099, 26062, 19521, 349, 10878, 10423, 3139, 18, 9133, 1946, 16317, 687, 282, 46191, 16 ]
[ 42117, 17, 730, 7805, 16, 13340, 41647, 289, 13613, 18, 967, 803, 329, 813, 282, 4008, 34121, 33732, 5197, 18, 6592, 47589, 49530, 1234, 15725, 16, 334, 2856, 3286, 10091, 3771, 9225, 12060, 17, 263, 1756, 282, 2968, 18, 439, 21657, 10052, 4851, 18680, 4186, 16, 5938, 35847, 8308, 49050, 16, 33706, 23912, 1205, 9410, 18, 12126, 6459, 9, 5781, 4481, 32917, 11524, 2166, 281, 867, 16, 753, 10850, 26889, 8396, 7438, 289, 16007, 1920, 282, 7512, 31479, 22184, 18, 365, 1967, 4190, 12581, 5973, 1133, 289, 44397, 21332, 1274, 695, 3473, 1123, 1007, 282, 26535, 289, 10825, 289, 23054, 41041, 2792, 293, 2549, 304, 11839, 13900, 14951, 15355, 16, 10050, 18165, 6187, 2241, 478, 677, 433, 842, 2124, 19995, 34458, 470, 10618, 14901, 842, 18, 1178, 7441, 14145, 519, 2299, 6532, 3400, 33075, 2868, 282, 1045, 289, 43024, 697, 16, 371, 22293, 1587, 21539, 49189, 4186, 481, 895, 6125, 26682, 13013, 289, 5977, 5848, 40042, 18001, 5348, 4958, 2294, 16, 12557, 3720, 14708, 1356, 18, 478, 4441, 26889, 1514, 34014, 4564, 7127, 4524, 3080, 15355, 16, 309, 1169, 16, 367, 1038, 309, 48153, 3113, 7478, 16, 1085, 3365, 16, 895, 953, 16, 24553, 32935, 34931, 16, 34121, 25568, 17359, 289, 9871, 30916, 269, 622, 4186, 910, 510, 26698, 492, 18, 478, 6207, 3033, 1018, 2178, 956, 3834, 764, 4443, 575, 16, 3176, 726, 2178, 956, 5561, 16, 502, 912, 4652, 764, 3610, 986, 16, 289, 19516, 1747, 40700, 42452, 4701, 7026, 16, 367, 895, 16, 289, 4521, 2504, 322, 27176, 309, 965, 42826, 21398, 3400, 24340, 16, 1548, 374, 3433, 25433, 44509, 1347, 552, 44464, 322, 895, 910, 510, 42375, 39597, 10618, 14901, 842, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 8624, 16934, 23613, 17535, 501, 2325, 16342, 309, 20274, 17, 277, 1045, 1354, 18, 17935, 3142, 492, 6392, 2079, 310, 16, 329, 1047, 685, 8137, 18, 17535, 501, 2325, 25512, 31375, 31657, 11919, 282, 3178, 10504, 986, 510, 282, 5012, 16, 785, 360, 10120, 22708, 9904, 2918, 555, 9457, 2553, 18, 31224, 30, 5786, 490, 1577, 411, 14935, 680, 10026, 17535, 501, 2325, 519, 21546, 282, 13354, 25512, 282, 3142, 46863, 478, 47693, 2127, 9431, 910, 367, 2512, 685, 3348, 411, 13764, 17838, 18, 365, 11525, 1045, 505, 13125, 326, 282, 4698, 39309, 1175, 1624, 367, 282, 10707, 1045, 492, 1559, 32183, 4309, 11919, 428, 5854, 22519, 17838, 16, 1586, 282, 502, 808, 11890, 282, 32250, 17344, 23318, 289, 21935, 5449, 1508, 20917, 321, 888, 18, 1591, 6477, 17535, 501, 25113, 6209, 906, 14714, 11065, 6707, 11831, 16, 14517, 16, 374, 5906, 1122, 48598, 11917, 17344, 282, 5503, 17838, 18, 385, 19864, 1063, 12760, 8497, 17, 292, 281, 867, 32387, 22708, 16, 1029, 685, 971, 9467, 1390, 371, 32183, 423, 17, 32402, 648, 409, 5449, 409, 528, 7420, 1388, 263, 1624, 17535, 501, 2325, 3153, 290, 16876, 30, 478, 17394, 3252, 548, 687, 289, 10063, 16, 374, 10406, 9714, 23575, 1082, 289, 5780, 30, 478, 21393, 4271, 39353, 309, 481, 639, 1139, 42686, 1151, 18, 11430, 17, 299, 24029, 429, 16, 367, 322, 12760, 4271, 9051, 14935, 2818, 3932, 825, 17535, 501, 2325, 479, 4191, 2702, 48504, 3328, 32183, 4309, 289, 281, 14148, 355, 24388, 294, 16338, 16, 1830, 518, 2669, 28096, 414, 505, 5998, 309, 803, 13314, 18, 27179, 6877, 3250, 5762, 1116, 16, 492, 14292, 28479, 20412, 281, 15302, 41702, 9640, 289, 27322, 36260, 17198, 37315, 507, 18, 824, 2200, 6877, 6710, 17535, 501, 2325, 685, 3848, 35387, 17, 19897, 496, 289, 3887, 300, 12156, 16, 374, 282, 4008, 11585, 41408, 10600, 32885, 10080, 18, 7042, 3142, 492, 27322, 22747, 2409, 15465, 17838, 17575, 4879, 32847, 23150, 367, 16, 515, 282, 8455, 1045, 685, 5285, 928, 411, 17838, 349, 45013, 37684, 281, 965, 22141, 4806, 17777, 334, 35197, 4623, 18, 2263, 17535, 501, 2325, 27834, 10353, 16, 374, 32847, 23150, 478, 6781, 293, 623, 905, 470, 935, 16190, 15465, 32838, 25113, 16, 2412, 274, 3059, 15465, 4623, 1143, 1939, 986, 18, 3739, 10265, 32183, 4309, 11919, 16, 17535, 501, 2325, 3411, 42871, 13049, 282, 7010, 1250, 10143, 1767, 289, 2564, 935, 11927, 282, 5572, 28220, 30490, 13526, 18505, 18073, 401, 1624, 2686, 567, 7422, 28220, 25469, 975, 281, 18627, 19802, 304, 18, 23613, 17535, 501, 2325, 1269, 35455, 30, 309, 39958, 492, 2669, 281, 21579, 323, 670, 5036, 761, 18, 817, 322, 445, 2202, 2195, 16, 374, 975, 4525, 11033, 360, 1335, 25995, 18, 2320, 25077, 12341, 6726, 898, 12405, 289, 4605, 2232, 6179, 347, 16, 381, 803, 492, 757, 11807, 23993, 18, 365, 3709, 411, 7337, 492, 20496, 16, 374, 18456, 330, 12834, 353, 764, 282, 12100, 16, 785, 3942, 282, 10813, 282, 23856, 1767, 18, 478, 677, 3212, 1354, 1494, 2406, 898, 21730, 13958, 16, 12405, 14451, 30, 656, 281, 38608, 2535, 939, 20223, 424, 7207, 21730, 890, 289, 1355, 8475, 13133, 282, 34828, 910, 510, 10799, 23024, 16, 1029, 282, 22113, 16647, 282, 568, 315, 10323, 6466, 6648, 18, 17535, 501, 2325, 12307, 8892, 349, 1293, 4776, 519, 2742, 6740, 12783, 45168, 289, 8731, 481, 10404, 1248, 1293, 986, 1011, 13125, 542, 12984, 9001, 9620, 18, 365, 481, 808, 360, 16653, 26769, 16, 3143, 4486, 670, 322, 3143, 4486, 8733, 10120, 50191, 3215, 7457, 16, 282, 4729, 6160, 289, 9457, 1175, 18, 20239, 4945, 503, 536, 32183, 4309, 281, 10707, 334, 8311, 1205, 19691, 19074, 9193, 2768, 38997, 4957, 434, 27143, 16, 1029, 282, 6031, 510, 1904, 520, 16, 4702, 520, 510, 1480, 2823, 4193, 272, 360, 352, 526, 3786, 680, 13899, 294, 7359, 6755, 836, 26597, 18, 478, 30145, 1167, 32183, 4309, 16653, 26769, 281, 10707, 519, 8311, 779, 16, 23613, 17535, 501, 2325, 1559, 3348, 411, 1387, 6487, 1051, 12152, 7179, 11919, 13306, 18, 22987, 25568, 4461, 22373, 3645, 567, 10246, 371, 505, 24167, 18995, 16, 510, 2548, 45890, 10121, 24471, 5881, 18, 510, 740, 282, 33674, 282, 3531, 4532, 265, 492, 322, 2564, 18, 817, 2002, 322, 13633, 10144, 289, 19807, 32737, 18, 7886, 320, 11120, 4443, 986, 309, 13314, 4806, 17777, 16, 14393, 874, 11031, 282, 15161, 510, 334, 47878, 34697, 481, 10728, 2353, 18, 33955, 16706, 41114, 1631, 16, 1029, 24554, 363, 282, 16970, 2848, 24923, 5901, 1175, 18, 5351, 6496, 505, 20700, 45059, 309, 808, 16, 785, 25568, 13521, 42916, 334, 43854, 14857, 16, 334, 16434, 7474, 2818, 14540, 861, 47295, 3652, 423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42117, 17, 730, 7805, 16, 13340, 41647, 289, 13613, 18, 967, 803, 329, 813, 282, 4008, 34121, 33732, 5197, 18, 6592, 47589, 49530, 1234, 15725, 16, 334, 2856, 3286, 10091, 3771, 9225, 12060, 17, 263, 1756, 282, 2968, 18, 439, 21657, 10052, 4851, 18680, 4186, 16, 5938, 35847, 8308, 49050, 16, 33706, 23912, 1205, 9410, 18, 12126, 6459, 9, 5781, 4481, 32917, 11524, 2166, 281, 867, 16, 753, 10850, 26889, 8396, 7438, 289, 16007, 1920, 282, 7512, 31479, 22184, 18, 365, 1967, 4190, 12581, 5973, 1133, 289, 44397, 21332, 1274, 695, 3473, 1123, 1007, 282, 26535, 289, 10825, 289, 23054, 41041, 2792, 293, 2549, 304, 11839, 13900, 14951, 15355, 16, 10050, 18165, 6187, 2241, 478, 677, 433, 842, 2124, 19995, 34458, 470, 10618, 14901, 842, 18, 1178, 7441, 14145, 519, 2299, 6532, 3400, 33075, 2868, 282, 1045, 289, 43024, 697, 16, 371, 22293, 1587, 21539, 49189, 4186, 481, 895, 6125, 26682, 13013, 289, 5977, 5848, 40042, 18001, 5348, 4958, 2294, 16, 12557, 3720, 14708, 1356, 18, 478, 4441, 26889, 1514, 34014, 4564, 7127, 4524, 3080, 15355, 16, 309, 1169, 16, 367, 1038, 309, 48153, 3113, 7478, 16, 1085, 3365, 16, 895, 953, 16, 24553, 32935, 34931, 16, 34121, 25568, 17359, 289, 9871, 30916, 269, 622, 4186, 910, 510, 26698, 492, 18, 478, 6207, 3033, 1018, 2178, 956, 3834, 764, 4443, 575, 16, 3176, 726, 2178, 956, 5561, 16, 502, 912, 4652, 764, 3610, 986, 16, 289, 19516, 1747, 40700, 42452, 4701, 7026, 16, 367, 895, 16, 289, 4521, 2504, 322, 27176, 309, 965, 42826, 21398, 3400, 24340, 16, 1548, 374, 3433, 25433, 44509, 1347, 552, 44464, 322, 895, 910, 510, 42375, 39597, 10618, 14901, 842, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 8624, 16934, 23613, 17535, 501, 2325, 16342, 309, 20274, 17, 277, 1045, 1354, 18, 17935, 3142, 492, 6392, 2079, 310, 16, 329, 1047, 685, 8137, 18, 17535, 501, 2325, 25512, 31375, 31657, 11919, 282, 3178, 10504, 986, 510, 282, 5012, 16, 785, 360, 10120, 22708, 9904, 2918, 555, 9457, 2553, 18, 31224, 30, 5786, 490, 1577, 411, 14935, 680, 10026, 17535, 501, 2325, 519, 21546, 282, 13354, 25512, 282, 3142, 46863, 478, 47693, 2127, 9431, 910, 367, 2512, 685, 3348, 411, 13764, 17838, 18, 365, 11525, 1045, 505, 13125, 326, 282, 4698, 39309, 1175, 1624, 367, 282, 10707, 1045, 492, 1559, 32183, 4309, 11919, 428, 5854, 22519, 17838, 16, 1586, 282, 502, 808, 11890, 282, 32250, 17344, 23318, 289, 21935, 5449, 1508, 20917, 321, 888, 18, 1591, 6477, 17535, 501, 25113, 6209, 906, 14714, 11065, 6707, 11831, 16, 14517, 16, 374, 5906, 1122, 48598, 11917, 17344, 282, 5503, 17838, 18, 385, 19864, 1063, 12760, 8497, 17, 292, 281, 867, 32387, 22708, 16, 1029, 685, 971, 9467, 1390, 371, 32183, 423, 17, 32402, 648, 409, 5449, 409, 528, 7420, 1388, 263, 1624, 17535, 501, 2325, 3153, 290, 16876, 30, 478, 17394, 3252, 548, 687, 289, 10063, 16, 374, 10406, 9714, 23575, 1082, 289, 5780, 30, 478, 21393, 4271, 39353, 309, 481, 639, 1139, 42686, 1151, 18, 11430, 17, 299, 24029, 429, 16, 367, 322, 12760, 4271, 9051, 14935, 2818, 3932, 825, 17535, 501, 2325, 479, 4191, 2702, 48504, 3328, 32183, 4309, 289, 281, 14148, 355, 24388, 294, 16338, 16, 1830, 518, 2669, 28096, 414, 505, 5998, 309, 803, 13314, 18, 27179, 6877, 3250, 5762, 1116, 16, 492, 14292, 28479, 20412, 281, 15302, 41702, 9640, 289, 27322, 36260, 17198, 37315, 507, 18, 824, 2200, 6877, 6710, 17535, 501, 2325, 685, 3848, 35387, 17, 19897, 496, 289, 3887, 300, 12156, 16, 374, 282, 4008, 11585, 41408, 10600, 32885, 10080, 18, 7042, 3142, 492, 27322, 22747, 2409, 15465, 17838, 17575, 4879, 32847, 23150, 367, 16, 515, 282, 8455, 1045, 685, 5285, 928, 411, 17838, 349, 45013, 37684, 281, 965, 22141, 4806, 17777, 334, 35197, 4623, 18, 2263, 17535, 501, 2325, 27834, 10353, 16, 374, 32847, 23150, 478, 6781, 293, 623, 905, 470, 935, 16190, 15465, 32838, 25113, 16, 2412, 274, 3059, 15465, 4623, 1143, 1939, 986, 18, 3739, 10265, 32183, 4309, 11919, 16, 17535, 501, 2325, 3411, 42871, 13049, 282, 7010, 1250, 10143, 1767, 289, 2564, 935, 11927, 282, 5572, 28220, 30490, 13526, 18505, 18073, 401, 1624, 2686, 567, 7422, 28220, 25469, 975, 281, 18627, 19802, 304, 18, 23613, 17535, 501, 2325, 1269, 35455, 30, 309, 39958, 492, 2669, 281, 21579, 323, 670, 5036, 761, 18, 817, 322, 445, 2202, 2195, 16, 374, 975, 4525, 11033, 360, 1335, 25995, 18, 2320, 25077, 12341, 6726, 898, 12405, 289, 4605, 2232, 6179, 347, 16, 381, 803, 492, 757, 11807, 23993, 18, 365, 3709, 411, 7337, 492, 20496, 16, 374, 18456, 330, 12834, 353, 764, 282, 12100, 16, 785, 3942, 282, 10813, 282, 23856, 1767, 18, 478, 677, 3212, 1354, 1494, 2406, 898, 21730, 13958, 16, 12405, 14451, 30, 656, 281, 38608, 2535, 939, 20223, 424, 7207, 21730, 890, 289, 1355, 8475, 13133, 282, 34828, 910, 510, 10799, 23024, 16, 1029, 282, 22113, 16647, 282, 568, 315, 10323, 6466, 6648, 18, 17535, 501, 2325, 12307, 8892, 349, 1293, 4776, 519, 2742, 6740, 12783, 45168, 289, 8731, 481, 10404, 1248, 1293, 986, 1011, 13125, 542, 12984, 9001, 9620, 18, 365, 481, 808, 360, 16653, 26769, 16, 3143, 4486, 670, 322, 3143, 4486, 8733, 10120, 50191, 3215, 7457, 16, 282, 4729, 6160, 289, 9457, 1175, 18, 20239, 4945, 503, 536, 32183, 4309, 281, 10707, 334, 8311, 1205, 19691, 19074, 9193, 2768, 38997, 4957, 434, 27143, 16, 1029, 282, 6031, 510, 1904, 520, 16, 4702, 520, 510, 1480, 2823, 4193, 272, 360, 352, 526, 3786, 680, 13899, 294, 7359, 6755, 836, 26597, 18, 478, 30145, 1167, 32183, 4309, 16653, 26769, 281, 10707, 519, 8311, 779, 16, 23613, 17535, 501, 2325, 1559, 3348, 411, 1387, 6487, 1051, 12152, 7179, 11919, 13306, 18, 22987, 25568, 4461, 22373, 3645, 567, 10246, 371, 505, 24167, 18995, 16, 510, 2548, 45890, 10121, 24471, 5881, 18, 510, 740, 282, 33674, 282, 3531, 4532, 265, 492, 322, 2564, 18, 817, 2002, 322, 13633, 10144, 289, 19807, 32737, 18, 7886, 320, 11120, 4443, 986, 309, 13314, 4806, 17777, 16, 14393, 874, 11031, 282, 15161, 510, 334, 47878, 34697, 481, 10728, 2353, 18, 33955, 16706, 41114, 1631, 16, 1029, 24554, 363, 282, 16970, 2848, 24923, 5901, 1175, 18, 5351, 6496, 505, 20700, 45059, 309, 808, 16, 785, 25568, 13521, 42916, 334, 43854, 14857, 16, 334, 16434, 7474, 2818, 14540, 861, 47295, 3652, 423 ]
[ 11415, 842, 6070, 4342, 297, 1079, 1666, 2946, 17575, 4879, 17535, 501, 25113, 1269, 986, 18, 7909, 428, 8300, 31063, 8667, 478, 47693, 1162, 3754, 470, 282, 3998, 18378, 264, 1335, 8667, 18, 3575, 510, 428, 4806, 17777, 16934, 6740, 289, 11202, 1056, 276, 6761, 18, 478, 1009, 36190, 5055, 15322, 685, 40162, 32530, 282, 3182, 7179, 4000, 30, 26363, 2900, 31537, 1494, 12769, 14709, 9674, 1649, 6832, 289, 25398, 6832, 5406, 16, 510, 22985, 4342, 297, 1079, 1666, 18, 510, 817, 3641, 939, 13505, 5067, 16, 289, 417, 322, 2060, 537, 2236, 1631, 16, 5076, 373, 492, 43063, 861, 439, 764, 16, 10265, 1530, 402, 304, 478, 7530, 3032, 303, 382, 470, 1624, 17535, 501, 2325, 322, 2202, 937, 40754, 11788, 289, 18928, 309, 49253, 2200, 32153, 46975, 18, 478, 5798, 639, 20764, 468, 282, 21241, 282, 14595, 1045, 16, 417, 685, 4391, 1390, 360, 478, 7530, 3032, 303, 382, 470, 282, 13490, 365, 1098, 9827, 780, 16, 282, 11226, 334, 18531, 16959, 35285, 16, 289, 2552, 1119, 1943, 685, 29753, 7337, 309, 2089, 6266, 16, 510, 10662, 4342, 297, 1079, 1666, 18, 510, 996, 1215, 29393, 417, 282, 34473, 329, 11719, 23583, 15043, 1624, 492, 685, 3348, 411, 6789, 1532, 13490, 365, 1098, 9827, 780, 16, 289, 703, 1293, 3139, 26544, 282, 34473, 16, 367, 7337, 475, 322, 3029, 5832, 16, 5172, 371, 803, 281, 4065, 282, 2287, 8600, 289, 6771, 5913, 411, 20535, 16, 515, 1943, 953, 281, 1204, 18, 459, 1373, 784, 5435, 530, 411, 12380, 30, 478, 20731, 1820, 343, 5433, 629, 282, 1078, 30, 478, 4529, 1215, 322, 49326, 4271, 17535, 501, 2325, 6938, 9665, 1655, 282, 13490, 365, 1098, 9827, 780, 16, 21782, 309, 703, 16, 2734, 520, 322, 14384, 6844, 2979, 289, 44875, 315, 9820, 23583, 1275, 272, 30, 478, 684, 2446, 16, 322, 7573, 411, 965, 5, 608, 813, 9063, 2353, 4271, 459, 7337, 1373, 575, 15162, 18, 365, 2287, 8600, 16, 428, 15877, 16, 5172, 685, 29292, 282, 16267, 861, 625, 1369, 890, 16, 282, 2588, 23613, 17535, 501, 2325, 25512, 8583, 597, 16, 906, 4193, 416, 18, 7909, 282, 34512, 6984, 17821, 48059, 8448, 5643, 4623, 16, 2686, 6330, 4119, 4958, 5434, 19401, 5914, 22874, 18, 478, 18771, 322, 2619, 282, 10013, 443, 39894, 6206, 656, 3716, 6498, 294, 12760, 2818, 23318, 473, 418, 7410, 764, 281, 3348, 24419, 27193, 13899, 510, 6665, 979, 967, 15526, 2509, 25408, 289, 1655, 6209, 567, 7410, 281, 17535, 501, 404, 3259, 2756, 2599, 12418, 8115, 304, 16, 510, 2548, 45890, 6363, 37435, 18, 510, 3575, 16, 2686, 16, 5494, 26967, 2107, 3971, 16, 289, 726, 6209, 9315, 443, 28914, 5521, 906, 2319, 1033, 478, 436, 2063, 416, 910, 367, 9774, 549, 5494, 9478, 4783, 701, 18, 740, 475, 3066, 898, 289, 12760, 1162, 12373, 2750, 16, 289, 653, 1369, 307, 3271, 2891, 18, 385, 44263, 3217, 22708, 289, 17535, 501, 25113, 281, 5174, 722, 4806, 17777, 282, 8311, 1045, 475, 2438, 4310, 18, 640, 995, 414, 6477, 478, 1508, 551, 1734, 20854, 910, 4119, 11919, 4426, 11757, 3707, 282, 1169, 4623, 2891, 906, 5295, 798, 294, 46878, 18, 9098, 6569, 16, 428, 23613, 17535, 501, 2325, 16, 1830, 289, 3826, 1453, 16, 515, 5007, 448, 16, 5823, 322, 6453, 18, 30673, 26701, 284, 6514, 277, 289, 4676, 6829, 1143, 1984, 5561, 2388, 1749, 16, 428, 9715, 528, 7420, 1388, 16, 18059, 1510, 309, 18506, 17535, 501, 2325, 272, 18, 9418, 281, 17575, 27807, 5696, 263, 28098, 35934, 289, 25568, 5189, 783, 2992, 11678, 8497, 17, 292, 510, 8015, 13584, 16, 515, 7386, 549, 294, 21431, 16, 1480, 549, 294, 21012, 395, 16, 19734, 10035, 3416, 16, 11435, 400, 289, 9029, 1864, 281, 28106, 309, 22428, 861, 365, 4101, 3142, 17535, 501, 2325, 11391, 1360, 4874, 23463, 43783, 1175, 16, 31725, 3361, 281, 23431, 373, 8309, 558, 4258, 441, 1846, 2855, 334, 17838, 18, 385, 32847, 1709, 2509, 2838, 289, 322, 40309, 16, 515, 371, 38369, 309, 20526, 28760, 5826, 11268, 1494, 7174, 414, 702, 6527, 2507, 18, 365, 8311, 1045, 17535, 501, 2325, 3424, 685, 9272, 282, 12760, 30, 282, 3709, 363, 3685, 547, 15161, 282, 13324, 492, 21035, 24658, 392, 35021, 2707, 554, 18, 365, 5653, 1045, 11350, 17, 436, 931, 320, 1858, 5019, 44152, 282, 8583, 597, 16, 726, 360, 4623, 478, 35940, 312, 3244, 1175, 910, 3754, 16, 749, 9792, 18, 365, 5021, 1045, 492, 1559, 20712, 7067, 18820, 421, 1259, 271, 24634, 18, 3791, 23613, 17535, 501, 2325, 15344, 20712, 12672, 1560, 28041, 46045, 429, 478, 677, 31023, 910, 1029, 726, 2261, 17, 295, 445, 32624, 282, 34471, 464, 1248, 1293, 8560, 18, 2, 1, 87, 1456, 81, 2448, 30, 20377, 316, 14444, 933, 33811, 1011, 11337, 4282, 282, 851, 962, 25290, 10744, 478, 1369, 22061, 18690, 861, 34998, 31364, 697, 23959, 478, 1599, 696, 536, 16, 1292, 1703, 861, 365, 4802, 7292, 40745, 1055, 687, 44963, 13273, 18051, 15040, 14886, 282, 19524, 18, 31224, 30, 20636, 2589, 783, 26626, 680, 1767, 8977, 16, 374, 1617, 17260, 20915, 44241, 316, 14444, 680, 9207, 6937, 4137, 7780, 3141, 1624, 8624, 10539, 7920, 334, 23470, 4137, 12129, 343, 1068, 405, 289, 6548, 10729, 31122, 672, 478, 983, 14444, 778, 9207, 1240, 368, 25293, 470, 7550, 3551, 3141, 18, 4794, 11875, 8566, 7010, 6520, 1767, 41627, 8548, 392, 5037, 9207, 6937, 4210, 32251, 18, 1303, 424, 2906, 10744, 7052, 1007, 18, 478, 4441, 21505, 16, 16732, 23959, 910, 510, 17684, 6363, 450, 4205, 18, 30660, 282, 26626, 2557, 4243, 282, 5017, 7927, 11084, 309, 40853, 17421, 439, 8270, 4669, 289, 26626, 718, 49840, 354, 18, 4016, 17, 16981, 16194, 8112, 7387, 334, 17140, 36525, 281, 21010, 680, 16, 282, 1754, 6820, 722, 23399, 886, 1475, 879, 6511, 18, 26828, 6020, 424, 2872, 2742, 42142, 1291, 16, 367, 2512, 745, 1974, 4732, 29738, 282, 34220, 15580, 29021, 18, 967, 38716, 6511, 25396, 411, 21010, 1465, 16, 289, 505, 1373, 575, 24126, 435, 9345, 758, 5865, 353, 18, 6193, 10862, 18187, 18126, 21020, 485, 16, 515, 9025, 46199, 11686, 322, 14985, 519, 8600, 42852, 18, 7100, 16, 42591, 11257, 289, 22198, 3555, 11686, 18, 2320, 6371, 282, 4335, 19453, 360, 2223, 30660, 16, 282, 5846, 7126, 8717, 4912, 17439, 5500, 16, 2319, 8487, 4282, 10954, 435, 693, 6150, 5865, 353, 18, 19070, 33515, 7920, 473, 4395, 13, 1833, 1011, 13631, 21849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11415, 842, 6070, 4342, 297, 1079, 1666, 2946, 17575, 4879, 17535, 501, 25113, 1269, 986, 18, 7909, 428, 8300, 31063, 8667, 478, 47693, 1162, 3754, 470, 282, 3998, 18378, 264, 1335, 8667, 18, 3575, 510, 428, 4806, 17777, 16934, 6740, 289, 11202, 1056, 276, 6761, 18, 478, 1009, 36190, 5055, 15322, 685, 40162, 32530, 282, 3182, 7179, 4000, 30, 26363, 2900, 31537, 1494, 12769, 14709, 9674, 1649, 6832, 289, 25398, 6832, 5406, 16, 510, 22985, 4342, 297, 1079, 1666, 18, 510, 817, 3641, 939, 13505, 5067, 16, 289, 417, 322, 2060, 537, 2236, 1631, 16, 5076, 373, 492, 43063, 861, 439, 764, 16, 10265, 1530, 402, 304, 478, 7530, 3032, 303, 382, 470, 1624, 17535, 501, 2325, 322, 2202, 937, 40754, 11788, 289, 18928, 309, 49253, 2200, 32153, 46975, 18, 478, 5798, 639, 20764, 468, 282, 21241, 282, 14595, 1045, 16, 417, 685, 4391, 1390, 360, 478, 7530, 3032, 303, 382, 470, 282, 13490, 365, 1098, 9827, 780, 16, 282, 11226, 334, 18531, 16959, 35285, 16, 289, 2552, 1119, 1943, 685, 29753, 7337, 309, 2089, 6266, 16, 510, 10662, 4342, 297, 1079, 1666, 18, 510, 996, 1215, 29393, 417, 282, 34473, 329, 11719, 23583, 15043, 1624, 492, 685, 3348, 411, 6789, 1532, 13490, 365, 1098, 9827, 780, 16, 289, 703, 1293, 3139, 26544, 282, 34473, 16, 367, 7337, 475, 322, 3029, 5832, 16, 5172, 371, 803, 281, 4065, 282, 2287, 8600, 289, 6771, 5913, 411, 20535, 16, 515, 1943, 953, 281, 1204, 18, 459, 1373, 784, 5435, 530, 411, 12380, 30, 478, 20731, 1820, 343, 5433, 629, 282, 1078, 30, 478, 4529, 1215, 322, 49326, 4271, 17535, 501, 2325, 6938, 9665, 1655, 282, 13490, 365, 1098, 9827, 780, 16, 21782, 309, 703, 16, 2734, 520, 322, 14384, 6844, 2979, 289, 44875, 315, 9820, 23583, 1275, 272, 30, 478, 684, 2446, 16, 322, 7573, 411, 965, 5, 608, 813, 9063, 2353, 4271, 459, 7337, 1373, 575, 15162, 18, 365, 2287, 8600, 16, 428, 15877, 16, 5172, 685, 29292, 282, 16267, 861, 625, 1369, 890, 16, 282, 2588, 23613, 17535, 501, 2325, 25512, 8583, 597, 16, 906, 4193, 416, 18, 7909, 282, 34512, 6984, 17821, 48059, 8448, 5643, 4623, 16, 2686, 6330, 4119, 4958, 5434, 19401, 5914, 22874, 18, 478, 18771, 322, 2619, 282, 10013, 443, 39894, 6206, 656, 3716, 6498, 294, 12760, 2818, 23318, 473, 418, 7410, 764, 281, 3348, 24419, 27193, 13899, 510, 6665, 979, 967, 15526, 2509, 25408, 289, 1655, 6209, 567, 7410, 281, 17535, 501, 404, 3259, 2756, 2599, 12418, 8115, 304, 16, 510, 2548, 45890, 6363, 37435, 18, 510, 3575, 16, 2686, 16, 5494, 26967, 2107, 3971, 16, 289, 726, 6209, 9315, 443, 28914, 5521, 906, 2319, 1033, 478, 436, 2063, 416, 910, 367, 9774, 549, 5494, 9478, 4783, 701, 18, 740, 475, 3066, 898, 289, 12760, 1162, 12373, 2750, 16, 289, 653, 1369, 307, 3271, 2891, 18, 385, 44263, 3217, 22708, 289, 17535, 501, 25113, 281, 5174, 722, 4806, 17777, 282, 8311, 1045, 475, 2438, 4310, 18, 640, 995, 414, 6477, 478, 1508, 551, 1734, 20854, 910, 4119, 11919, 4426, 11757, 3707, 282, 1169, 4623, 2891, 906, 5295, 798, 294, 46878, 18, 9098, 6569, 16, 428, 23613, 17535, 501, 2325, 16, 1830, 289, 3826, 1453, 16, 515, 5007, 448, 16, 5823, 322, 6453, 18, 30673, 26701, 284, 6514, 277, 289, 4676, 6829, 1143, 1984, 5561, 2388, 1749, 16, 428, 9715, 528, 7420, 1388, 16, 18059, 1510, 309, 18506, 17535, 501, 2325, 272, 18, 9418, 281, 17575, 27807, 5696, 263, 28098, 35934, 289, 25568, 5189, 783, 2992, 11678, 8497, 17, 292, 510, 8015, 13584, 16, 515, 7386, 549, 294, 21431, 16, 1480, 549, 294, 21012, 395, 16, 19734, 10035, 3416, 16, 11435, 400, 289, 9029, 1864, 281, 28106, 309, 22428, 861, 365, 4101, 3142, 17535, 501, 2325, 11391, 1360, 4874, 23463, 43783, 1175, 16, 31725, 3361, 281, 23431, 373, 8309, 558, 4258, 441, 1846, 2855, 334, 17838, 18, 385, 32847, 1709, 2509, 2838, 289, 322, 40309, 16, 515, 371, 38369, 309, 20526, 28760, 5826, 11268, 1494, 7174, 414, 702, 6527, 2507, 18, 365, 8311, 1045, 17535, 501, 2325, 3424, 685, 9272, 282, 12760, 30, 282, 3709, 363, 3685, 547, 15161, 282, 13324, 492, 21035, 24658, 392, 35021, 2707, 554, 18, 365, 5653, 1045, 11350, 17, 436, 931, 320, 1858, 5019, 44152, 282, 8583, 597, 16, 726, 360, 4623, 478, 35940, 312, 3244, 1175, 910, 3754, 16, 749, 9792, 18, 365, 5021, 1045, 492, 1559, 20712, 7067, 18820, 421, 1259, 271, 24634, 18, 3791, 23613, 17535, 501, 2325, 15344, 20712, 12672, 1560, 28041, 46045, 429, 478, 677, 31023, 910, 1029, 726, 2261, 17, 295, 445, 32624, 282, 34471, 464, 1248, 1293, 8560, 18, 2, 1, 87, 1456, 81, 2448, 30, 20377, 316, 14444, 933, 33811, 1011, 11337, 4282, 282, 851, 962, 25290, 10744, 478, 1369, 22061, 18690, 861, 34998, 31364, 697, 23959, 478, 1599, 696, 536, 16, 1292, 1703, 861, 365, 4802, 7292, 40745, 1055, 687, 44963, 13273, 18051, 15040, 14886, 282, 19524, 18, 31224, 30, 20636, 2589, 783, 26626, 680, 1767, 8977, 16, 374, 1617, 17260, 20915, 44241, 316, 14444, 680, 9207, 6937, 4137, 7780, 3141, 1624, 8624, 10539, 7920, 334, 23470, 4137, 12129, 343, 1068, 405, 289, 6548, 10729, 31122, 672, 478, 983, 14444, 778, 9207, 1240, 368, 25293, 470, 7550, 3551, 3141, 18, 4794, 11875, 8566, 7010, 6520, 1767, 41627, 8548, 392, 5037, 9207, 6937, 4210, 32251, 18, 1303, 424, 2906, 10744, 7052, 1007, 18, 478, 4441, 21505, 16, 16732, 23959, 910, 510, 17684, 6363, 450, 4205, 18, 30660, 282, 26626, 2557, 4243, 282, 5017, 7927, 11084, 309, 40853, 17421, 439, 8270, 4669, 289, 26626, 718, 49840, 354, 18, 4016, 17, 16981, 16194, 8112, 7387, 334, 17140, 36525, 281, 21010, 680, 16, 282, 1754, 6820, 722, 23399, 886, 1475, 879, 6511, 18, 26828, 6020, 424, 2872, 2742, 42142, 1291, 16, 367, 2512, 745, 1974, 4732, 29738, 282, 34220, 15580, 29021, 18, 967, 38716, 6511, 25396, 411, 21010, 1465, 16, 289, 505, 1373, 575, 24126, 435, 9345, 758, 5865, 353, 18, 6193, 10862, 18187, 18126, 21020, 485, 16, 515, 9025, 46199, 11686, 322, 14985, 519, 8600, 42852, 18, 7100, 16, 42591, 11257, 289, 22198, 3555, 11686, 18, 2320, 6371, 282, 4335, 19453, 360, 2223, 30660, 16, 282, 5846, 7126, 8717, 4912, 17439, 5500, 16, 2319, 8487, 4282, 10954, 435, 693, 6150, 5865, 353, 18, 19070, 33515, 7920, 473, 4395, 13, 1833, 1011, 13631, 21849 ]
[ 857, 11969, 1743, 334, 13229, 478, 960, 1690, 427, 3422, 334, 28537, 617, 13412, 15566, 303, 2166, 5948, 1634, 18221, 19335, 861, 478, 4408, 7475, 14160, 16, 2059, 411, 14938, 4284, 9115, 1443, 30771, 8739, 16, 21440, 1453, 371, 14885, 4150, 1347, 910, 510, 12002, 282, 11925, 18, 4802, 10292, 726, 2797, 9973, 9657, 1240, 48365, 455, 16, 5960, 16764, 4150, 755, 16, 906, 24632, 387, 339, 343, 6702, 282, 31122, 672, 478, 983, 14444, 778, 9207, 1240, 368, 25293, 910, 47854, 6528, 12852, 382, 289, 10678, 5036, 4150, 1347, 18, 33768, 16, 374, 14267, 1698, 953, 11103, 2626, 428, 445, 24382, 1230, 9861, 2589, 553, 16, 18191, 2854, 349, 26839, 23470, 18, 365, 502, 575, 808, 8876, 15040, 40368, 21746, 6881, 2059, 411, 14938, 4284, 381, 1909, 453, 5374, 516, 2303, 7576, 40371, 4143, 4150, 1347, 16, 1586, 567, 1269, 445, 32748, 28044, 21033, 16, 49372, 411, 3506, 4931, 5097, 18, 1367, 803, 8977, 282, 10666, 3781, 17, 9952, 1230, 9861, 2589, 553, 18, 2046, 16, 478, 1369, 1210, 9037, 3352, 16, 47281, 5643, 14649, 11179, 2639, 16014, 31, 282, 3178, 779, 3757, 15773, 1293, 8482, 5036, 309, 3989, 1791, 432, 24258, 861, 478, 4670, 9268, 34925, 2301, 4150, 1347, 309, 2468, 32024, 14434, 322, 9219, 17313, 10206, 1816, 26613, 910, 510, 4437, 49340, 282, 9907, 1230, 9861, 2589, 553, 18, 35477, 318, 4282, 35170, 282, 26626, 2557, 282, 9937, 18, 22319, 2001, 28035, 6598, 30979, 11686, 282, 13673, 1421, 5196, 17665, 37206, 8094, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 289, 1619, 10913, 26816, 29368, 38013, 37115, 18187, 478, 27296, 17, 10594, 47015, 470, 1684, 18070, 478, 1182, 17612, 554, 861, 478, 822, 11316, 8076, 470, 3221, 9529, 2948, 282, 7756, 430, 19, 28, 21451, 14378, 30691, 326, 16, 289, 1441, 722, 13852, 26628, 32055, 10133, 18, 31224, 30, 677, 17370, 9964, 29730, 7756, 430, 19, 28, 21451, 22979, 17, 21131, 4864, 3457, 12496, 382, 12320, 432, 3714, 35223, 1279, 2337, 288, 530, 770, 478, 482, 20149, 11593, 537, 2361, 411, 10021, 883, 322, 1103, 326, 1374, 1143, 7518, 16287, 16, 367, 1421, 411, 6566, 510, 2852, 18, 15085, 8148, 12030, 309, 14656, 18, 2681, 478, 30731, 14313, 24994, 470, 282, 17485, 416, 17611, 1671, 582, 3225, 13296, 309, 30720, 478, 37984, 19495, 7474, 470, 349, 5270, 9691, 18, 7075, 2393, 1771, 26738, 10416, 3768, 519, 36059, 7977, 18, 6290, 12793, 7756, 478, 1182, 17612, 347, 470, 16874, 541, 478, 27296, 17, 10594, 47015, 470, 3895, 520, 322, 43234, 7739, 2409, 18, 2046, 478, 7127, 16677, 470, 2950, 924, 374, 20137, 25771, 309, 7015, 13270, 16, 453, 764, 289, 10490, 21857, 4024, 16, 38407, 478, 2534, 806, 2347, 470, 309, 41072, 25421, 18, 365, 43141, 35107, 39765, 304, 4966, 29368, 38013, 15512, 367, 2993, 639, 1852, 1142, 5552, 478, 293, 29406, 670, 1805, 861, 478, 27296, 17, 10594, 47015, 470, 309, 4837, 1634, 15364, 1833, 12669, 282, 17285, 30, 774, 34544, 272, 7646, 22363, 552, 37574, 503, 5945, 272, 3711, 41455, 322, 652, 332, 4890, 4170, 18, 459, 12060, 17, 7745, 47487, 519, 10592, 519, 1612, 6317, 1475, 14674, 1392, 1051, 16, 33392, 33269, 411, 8359, 18523, 1176, 15563, 10857, 40012, 18497, 2042, 349, 4310, 18, 3492, 687, 322, 6274, 36532, 22363, 354, 510, 1176, 3877, 6111, 4141, 5195, 1421, 3775, 282, 5572, 29235, 18, 740, 10849, 12458, 272, 4671, 13763, 16, 6054, 7452, 12640, 281, 445, 25553, 30, 2239, 30, 21, 18, 30858, 742, 478, 2534, 806, 2347, 470, 11303, 4059, 928, 523, 685, 282, 1177, 2083, 309, 14597, 289, 3619, 1568, 448, 4668, 21, 282, 15497, 3779, 617, 18, 31248, 8618, 29524, 1381, 639, 294, 1086, 16, 281, 828, 28291, 12507, 38013, 15512, 18, 9967, 1011, 2742, 6740, 10485, 9805, 39914, 7243, 1475, 5906, 510, 491, 30, 20, 18, 439, 1215, 2915, 4983, 2950, 348, 20221, 966, 647, 18, 19432, 21152, 262, 360, 14236, 18477, 5723, 478, 6960, 626, 4873, 470, 289, 25521, 1871, 15277, 919, 16, 374, 7291, 16, 309, 5774, 547, 2468, 18, 365, 5572, 1750, 22447, 28773, 309, 1595, 2948, 25236, 478, 1182, 17612, 700, 470, 6370, 32543, 523, 18, 2112, 478, 1567, 2480, 470, 10974, 27709, 478, 2534, 806, 2347, 470, 2117, 8093, 16829, 7542, 549, 30, 7739, 1157, 24757, 15893, 10700, 7576, 12853, 18, 3647, 282, 11063, 4966, 25509, 15175, 8634, 18, 608, 37574, 503, 41721, 1810, 639, 475, 575, 16699, 16, 515, 492, 281, 1420, 3755, 7831, 18, 34165, 18086, 3287, 294, 290, 551, 6189, 597, 16, 988, 5826, 7586, 4732, 5978, 43474, 16, 18072, 371, 803, 322, 27184, 18, 459, 309, 19856, 17, 295, 20537, 7977, 445, 9930, 34565, 3174, 1194, 977, 478, 27296, 17, 10594, 47015, 861, 38013, 15512, 23085, 16960, 9871, 457, 11167, 420, 1508, 632, 4013, 2266, 4548, 16, 1029, 282, 290, 1941, 1771, 26738, 45300, 271, 774, 382, 2314, 478, 1182, 17612, 700, 470, 510, 816, 30, 22, 18, 430, 18, 457, 11167, 1723, 632, 4013, 2266, 333, 6166, 27296, 17, 10594, 47015, 9979, 510, 491, 26654, 473, 21, 15, 21, 13, 491, 18, 12507, 38013, 15512, 6166, 27296, 17, 10594, 47015, 9979, 510, 491, 26654, 473, 21, 15, 21, 13, 816, 18, 38758, 37574, 503, 5945, 6166, 1182, 17612, 347, 9979, 510, 11166, 281, 4013, 6761, 33283, 16, 515, 12507, 282, 10689, 7977, 322, 7757, 18, 2790, 1319, 7790, 262, 12916, 1559, 632, 4013, 2266, 333, 16, 16865, 510, 39914, 478, 7127, 842, 470, 33948, 4671, 5039, 21580, 277, 1624, 367, 2076, 2345, 6656, 4671, 13763, 18, 9570, 282, 1421, 262, 7878, 12525, 2299, 38013, 37115, 36499, 16533, 1251, 632, 4013, 2266, 7165, 289, 37574, 503, 5945, 304, 16, 13190, 37549, 282, 6031, 11166, 411, 13323, 4744, 2449, 478, 2534, 806, 2347, 861, 1483, 24303, 14262, 478, 1182, 17612, 700, 470, 289, 478, 27296, 17, 10594, 47015, 470, 2438, 24721, 282, 430, 19, 28, 21451, 22979, 17, 21131, 16, 2486, 10416, 11394, 519, 36059, 7977, 18, 1895, 30547, 30639, 7756, 8192, 282, 3765, 309, 10882, 309, 14597, 478, 7127, 842, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 27296, 17, 10594, 47015, 470, 510, 478, 1182, 17612, 347, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 58, 908, 7981, 40731, 8123, 38487, 3531, 2644, 2405, 267, 1184, 382, 8974, 16, 47762, 19796, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 857, 11969, 1743, 334, 13229, 478, 960, 1690, 427, 3422, 334, 28537, 617, 13412, 15566, 303, 2166, 5948, 1634, 18221, 19335, 861, 478, 4408, 7475, 14160, 16, 2059, 411, 14938, 4284, 9115, 1443, 30771, 8739, 16, 21440, 1453, 371, 14885, 4150, 1347, 910, 510, 12002, 282, 11925, 18, 4802, 10292, 726, 2797, 9973, 9657, 1240, 48365, 455, 16, 5960, 16764, 4150, 755, 16, 906, 24632, 387, 339, 343, 6702, 282, 31122, 672, 478, 983, 14444, 778, 9207, 1240, 368, 25293, 910, 47854, 6528, 12852, 382, 289, 10678, 5036, 4150, 1347, 18, 33768, 16, 374, 14267, 1698, 953, 11103, 2626, 428, 445, 24382, 1230, 9861, 2589, 553, 16, 18191, 2854, 349, 26839, 23470, 18, 365, 502, 575, 808, 8876, 15040, 40368, 21746, 6881, 2059, 411, 14938, 4284, 381, 1909, 453, 5374, 516, 2303, 7576, 40371, 4143, 4150, 1347, 16, 1586, 567, 1269, 445, 32748, 28044, 21033, 16, 49372, 411, 3506, 4931, 5097, 18, 1367, 803, 8977, 282, 10666, 3781, 17, 9952, 1230, 9861, 2589, 553, 18, 2046, 16, 478, 1369, 1210, 9037, 3352, 16, 47281, 5643, 14649, 11179, 2639, 16014, 31, 282, 3178, 779, 3757, 15773, 1293, 8482, 5036, 309, 3989, 1791, 432, 24258, 861, 478, 4670, 9268, 34925, 2301, 4150, 1347, 309, 2468, 32024, 14434, 322, 9219, 17313, 10206, 1816, 26613, 910, 510, 4437, 49340, 282, 9907, 1230, 9861, 2589, 553, 18, 35477, 318, 4282, 35170, 282, 26626, 2557, 282, 9937, 18, 22319, 2001, 28035, 6598, 30979, 11686, 282, 13673, 1421, 5196, 17665, 37206, 8094, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 289, 1619, 10913, 26816, 29368, 38013, 37115, 18187, 478, 27296, 17, 10594, 47015, 470, 1684, 18070, 478, 1182, 17612, 554, 861, 478, 822, 11316, 8076, 470, 3221, 9529, 2948, 282, 7756, 430, 19, 28, 21451, 14378, 30691, 326, 16, 289, 1441, 722, 13852, 26628, 32055, 10133, 18, 31224, 30, 677, 17370, 9964, 29730, 7756, 430, 19, 28, 21451, 22979, 17, 21131, 4864, 3457, 12496, 382, 12320, 432, 3714, 35223, 1279, 2337, 288, 530, 770, 478, 482, 20149, 11593, 537, 2361, 411, 10021, 883, 322, 1103, 326, 1374, 1143, 7518, 16287, 16, 367, 1421, 411, 6566, 510, 2852, 18, 15085, 8148, 12030, 309, 14656, 18, 2681, 478, 30731, 14313, 24994, 470, 282, 17485, 416, 17611, 1671, 582, 3225, 13296, 309, 30720, 478, 37984, 19495, 7474, 470, 349, 5270, 9691, 18, 7075, 2393, 1771, 26738, 10416, 3768, 519, 36059, 7977, 18, 6290, 12793, 7756, 478, 1182, 17612, 347, 470, 16874, 541, 478, 27296, 17, 10594, 47015, 470, 3895, 520, 322, 43234, 7739, 2409, 18, 2046, 478, 7127, 16677, 470, 2950, 924, 374, 20137, 25771, 309, 7015, 13270, 16, 453, 764, 289, 10490, 21857, 4024, 16, 38407, 478, 2534, 806, 2347, 470, 309, 41072, 25421, 18, 365, 43141, 35107, 39765, 304, 4966, 29368, 38013, 15512, 367, 2993, 639, 1852, 1142, 5552, 478, 293, 29406, 670, 1805, 861, 478, 27296, 17, 10594, 47015, 470, 309, 4837, 1634, 15364, 1833, 12669, 282, 17285, 30, 774, 34544, 272, 7646, 22363, 552, 37574, 503, 5945, 272, 3711, 41455, 322, 652, 332, 4890, 4170, 18, 459, 12060, 17, 7745, 47487, 519, 10592, 519, 1612, 6317, 1475, 14674, 1392, 1051, 16, 33392, 33269, 411, 8359, 18523, 1176, 15563, 10857, 40012, 18497, 2042, 349, 4310, 18, 3492, 687, 322, 6274, 36532, 22363, 354, 510, 1176, 3877, 6111, 4141, 5195, 1421, 3775, 282, 5572, 29235, 18, 740, 10849, 12458, 272, 4671, 13763, 16, 6054, 7452, 12640, 281, 445, 25553, 30, 2239, 30, 21, 18, 30858, 742, 478, 2534, 806, 2347, 470, 11303, 4059, 928, 523, 685, 282, 1177, 2083, 309, 14597, 289, 3619, 1568, 448, 4668, 21, 282, 15497, 3779, 617, 18, 31248, 8618, 29524, 1381, 639, 294, 1086, 16, 281, 828, 28291, 12507, 38013, 15512, 18, 9967, 1011, 2742, 6740, 10485, 9805, 39914, 7243, 1475, 5906, 510, 491, 30, 20, 18, 439, 1215, 2915, 4983, 2950, 348, 20221, 966, 647, 18, 19432, 21152, 262, 360, 14236, 18477, 5723, 478, 6960, 626, 4873, 470, 289, 25521, 1871, 15277, 919, 16, 374, 7291, 16, 309, 5774, 547, 2468, 18, 365, 5572, 1750, 22447, 28773, 309, 1595, 2948, 25236, 478, 1182, 17612, 700, 470, 6370, 32543, 523, 18, 2112, 478, 1567, 2480, 470, 10974, 27709, 478, 2534, 806, 2347, 470, 2117, 8093, 16829, 7542, 549, 30, 7739, 1157, 24757, 15893, 10700, 7576, 12853, 18, 3647, 282, 11063, 4966, 25509, 15175, 8634, 18, 608, 37574, 503, 41721, 1810, 639, 475, 575, 16699, 16, 515, 492, 281, 1420, 3755, 7831, 18, 34165, 18086, 3287, 294, 290, 551, 6189, 597, 16, 988, 5826, 7586, 4732, 5978, 43474, 16, 18072, 371, 803, 322, 27184, 18, 459, 309, 19856, 17, 295, 20537, 7977, 445, 9930, 34565, 3174, 1194, 977, 478, 27296, 17, 10594, 47015, 861, 38013, 15512, 23085, 16960, 9871, 457, 11167, 420, 1508, 632, 4013, 2266, 4548, 16, 1029, 282, 290, 1941, 1771, 26738, 45300, 271, 774, 382, 2314, 478, 1182, 17612, 700, 470, 510, 816, 30, 22, 18, 430, 18, 457, 11167, 1723, 632, 4013, 2266, 333, 6166, 27296, 17, 10594, 47015, 9979, 510, 491, 26654, 473, 21, 15, 21, 13, 491, 18, 12507, 38013, 15512, 6166, 27296, 17, 10594, 47015, 9979, 510, 491, 26654, 473, 21, 15, 21, 13, 816, 18, 38758, 37574, 503, 5945, 6166, 1182, 17612, 347, 9979, 510, 11166, 281, 4013, 6761, 33283, 16, 515, 12507, 282, 10689, 7977, 322, 7757, 18, 2790, 1319, 7790, 262, 12916, 1559, 632, 4013, 2266, 333, 16, 16865, 510, 39914, 478, 7127, 842, 470, 33948, 4671, 5039, 21580, 277, 1624, 367, 2076, 2345, 6656, 4671, 13763, 18, 9570, 282, 1421, 262, 7878, 12525, 2299, 38013, 37115, 36499, 16533, 1251, 632, 4013, 2266, 7165, 289, 37574, 503, 5945, 304, 16, 13190, 37549, 282, 6031, 11166, 411, 13323, 4744, 2449, 478, 2534, 806, 2347, 861, 1483, 24303, 14262, 478, 1182, 17612, 700, 470, 289, 478, 27296, 17, 10594, 47015, 470, 2438, 24721, 282, 430, 19, 28, 21451, 22979, 17, 21131, 16, 2486, 10416, 11394, 519, 36059, 7977, 18, 1895, 30547, 30639, 7756, 8192, 282, 3765, 309, 10882, 309, 14597, 478, 7127, 842, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 27296, 17, 10594, 47015, 470, 510, 478, 1182, 17612, 347, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 58, 908, 7981, 40731, 8123, 38487, 3531, 2644, 2405, 267, 1184, 382, 8974, 16, 47762, 19796, 18 ]
[ 8444, 14868, 11721, 16520, 46050, 2774, 271, 2509, 19943, 2555, 9, 5642, 4226, 25583, 1378, 282, 5930, 2431, 1061, 9, 670, 26581, 481, 29853, 18, 28616, 6881, 9868, 1902, 59, 24662, 758, 18, 31224, 30, 58, 908, 7981, 40731, 12679, 281, 15774, 323, 11897, 7919, 8974, 16, 961, 10366, 318, 1698, 29653, 19943, 46050, 2774, 28146, 35591, 670, 5305, 5371, 2376, 978, 13756, 18, 6630, 17220, 23844, 2259, 13342, 7572, 519, 23256, 6130, 5642, 16172, 289, 4693, 309, 965, 15442, 334, 6958, 10414, 5259, 9, 4981, 16, 5923, 21408, 18, 1178, 2891, 322, 2618, 7585, 8830, 2644, 2405, 267, 1184, 382, 16, 10366, 268, 895, 10419, 360, 26724, 17085, 282, 30225, 8357, 16, 10050, 10027, 18, 365, 19862, 5854, 1207, 43820, 35242, 5809, 11738, 281, 19796, 290, 14938, 46131, 282, 38729, 33631, 35591, 8974, 16, 2686, 11466, 1867, 16, 374, 381, 46401, 552, 482, 8180, 1003, 18, 478, 677, 7623, 2083, 656, 1121, 339, 9744, 281, 15310, 353, 334, 5083, 38280, 9713, 282, 3518, 4990, 4871, 334, 2405, 267, 1184, 582, 18, 4406, 34550, 11050, 5439, 360, 667, 3750, 651, 590, 8807, 4871, 18, 1345, 27797, 17929, 360, 8383, 366, 910, 510, 8977, 478, 46088, 18, 8381, 470, 47835, 17, 23390, 320, 43820, 13949, 1075, 1072, 19518, 1241, 344, 4086, 18, 640, 9155, 281, 7638, 17, 41854, 30012, 491, 3597, 4479, 779, 5037, 44549, 19432, 8790, 842, 3975, 268, 11661, 26945, 282, 8357, 282, 1175, 16, 827, 22736, 3741, 8410, 10906, 8369, 3569, 8764, 27225, 367, 290, 3741, 4190, 2405, 267, 1184, 382, 16, 2686, 1435, 2523, 5747, 6529, 25457, 11534, 9858, 360, 1129, 16, 5301, 478, 15210, 470, 477, 7755, 309, 8348, 1902, 59, 18, 19112, 2644, 33631, 35591, 8974, 16, 1103, 39996, 15635, 6945, 3672, 25903, 264, 30810, 304, 4031, 2155, 541, 35591, 5642, 282, 1175, 309, 1488, 986, 16, 23711, 309, 2961, 12171, 15442, 334, 4982, 395, 289, 6958, 10414, 4981, 898, 5063, 1007, 13798, 4479, 779, 18, 1606, 36583, 15634, 6958, 10414, 4981, 519, 5259, 7418, 7572, 1033, 7593, 6130, 5642, 282, 1205, 16, 367, 1038, 7572, 282, 1175, 22601, 289, 47239, 25087, 16, 24204, 3899, 382, 25300, 432, 15965, 289, 14108, 10007, 17, 35145, 5500, 18, 4039, 3750, 290, 30554, 11246, 282, 3655, 3672, 12002, 1421, 41724, 13257, 473, 58, 908, 7981, 40731, 651, 528, 10589, 31, 478, 21383, 3327, 267, 17, 42, 2577, 18130, 478, 46041, 46852, 10589, 470, 1224, 38392, 3565, 510, 50, 43255, 2884, 471, 732, 9213, 299, 470, 2884, 21805, 10589, 2884, 49, 444, 36608, 17, 38, 29905, 934, 367, 1038, 1149, 33790, 16, 1180, 49, 289, 17429, 12718, 651, 334, 33748, 18, 967, 803, 282, 4542, 17407, 6325, 4871, 3569, 8764, 755, 486, 685, 519, 13808, 281, 9752, 43579, 37732, 1624, 1978, 20202, 35212, 8357, 8974, 16, 1611, 9522, 19943, 715, 47, 40, 473, 273, 1005, 315, 2774, 271, 2232, 3191, 343, 934, 581, 2989, 1611, 5970, 43227, 11726, 18, 365, 1423, 3678, 16, 481, 13748, 294, 1435, 6298, 2644, 381, 11176, 763, 17384, 2567, 8974, 281, 2555, 9, 519, 1061, 9, 360, 7203, 7619, 8974, 16, 4460, 1378, 349, 39837, 1205, 18, 889, 322, 5736, 44464, 43820, 16, 282, 9118, 2024, 8034, 294, 11826, 1045, 7477, 1938, 3610, 9, 7043, 2245, 11881, 282, 1175, 8974, 18, 640, 7427, 545, 1212, 7547, 46580, 263, 3785, 20515, 1533, 13542, 19943, 46050, 2774, 28146, 35591, 289, 26579, 294, 9747, 4440, 779, 13342, 27698, 4981, 519, 21268, 6130, 16482, 18, 6083, 346, 20122, 19574, 16, 23970, 267, 38392, 3565, 17, 50, 43255, 16, 4660, 35803, 1974, 281, 478, 46041, 46852, 10589, 304, 470, 294, 2801, 1045, 16520, 282, 457, 44720, 1488, 3161, 6130, 8974, 16, 5524, 5460, 20321, 290, 2405, 267, 1184, 582, 20037, 18, 478, 4348, 14525, 290, 18979, 43820, 289, 16, 477, 1360, 1963, 16, 11843, 2023, 16, 374, 38392, 3565, 282, 3518, 22027, 309, 5734, 2083, 17229, 475, 20037, 910, 510, 2323, 478, 46088, 18, 8381, 470, 6187, 334, 42604, 281, 45159, 38392, 3565, 282, 1175, 30936, 29707, 756, 18, 6176, 3595, 11413, 1038, 20374, 345, 16393, 282, 4599, 12917, 1902, 59, 18, 365, 2343, 3750, 282, 3569, 8764, 27225, 16, 37732, 289, 3197, 29190, 11198, 4934, 9324, 23527, 34550, 11050, 5439, 2407, 9001, 9620, 478, 280, 1724, 8630, 396, 8807, 470, 2644, 2405, 267, 1184, 382, 764, 519, 9512, 31950, 7953, 432, 27480, 281, 7547, 23766, 5326, 861, 824, 3761, 21408, 16, 3569, 8764, 27225, 289, 37732, 27875, 6815, 5331, 12851, 309, 34550, 9620, 18, 37732, 322, 15349, 8369, 43820, 289, 322, 15069, 6405, 47108, 2644, 4090, 10342, 2405, 267, 1184, 382, 16, 6442, 478, 34010, 470, 282, 27246, 18, 21102, 26446, 6187, 22029, 346, 10015, 478, 11636, 299, 419, 266, 470, 4210, 40584, 291, 5273, 16, 374, 43820, 322, 5304, 9422, 5836, 24602, 8468, 18, 478, 677, 989, 520, 773, 9553, 8830, 481, 541, 965, 18, 1303, 5917, 360, 6569, 7842, 6271, 16, 428, 745, 17273, 4364, 309, 8348, 43820, 18, 1178, 334, 19745, 2236, 18990, 1747, 12631, 502, 16, 374, 20037, 5906, 16, 651, 1174, 4973, 1992, 5667, 1967, 9206, 289, 27480, 910, 510, 1109, 12189, 478, 46088, 18, 8381, 861, 2, 1, 87, 1456, 81, 2448, 30, 7306, 21953, 8144, 37818, 282, 3800, 281, 46608, 20448, 309, 16043, 8300, 16504, 434, 12188, 15581, 309, 2923, 308, 6399, 399, 14850, 16276, 269, 17, 599, 288, 17, 1295, 350, 510, 3580, 2660, 274, 1428, 18, 8230, 2325, 516, 8156, 281, 5420, 2713, 3991, 36197, 2341, 4030, 47960, 16626, 35481, 718, 11604, 1175, 478, 20314, 1270, 11717, 470, 289, 478, 21664, 589, 315, 861, 31224, 30, 14237, 1502, 1133, 2713, 3595, 5445, 9311, 282, 1332, 2660, 274, 1428, 309, 14656, 8144, 282, 5953, 4017, 360, 8535, 281, 7412, 635, 18, 3863, 2723, 1545, 11299, 15344, 3348, 411, 14795, 653, 2362, 291, 15581, 26755, 17567, 478, 26994, 7441, 470, 473, 4354, 298, 8991, 282, 1175, 814, 478, 14237, 1502, 1133, 22613, 9537, 424, 6457, 8275, 309, 23000, 2001, 16, 18639, 2429, 1187, 17, 730, 1408, 807, 289, 4972, 2725, 7895, 3766, 17, 1009, 12169, 526, 18, 415, 22053, 7050, 20393, 4257, 281, 46608, 8272, 309, 15956, 2001, 16, 988, 5445, 23387, 47024, 367, 301, 17, 49239, 1908, 289, 4972, 3766, 17, 780, 1117, 2503, 509, 274, 910, 510, 3828, 7528, 32351, 6118, 4257, 8144, 18, 817, 1038, 4848, 16, 374, 13450, 1162, 10169, 5186, 332, 11656, 3271, 50243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8444, 14868, 11721, 16520, 46050, 2774, 271, 2509, 19943, 2555, 9, 5642, 4226, 25583, 1378, 282, 5930, 2431, 1061, 9, 670, 26581, 481, 29853, 18, 28616, 6881, 9868, 1902, 59, 24662, 758, 18, 31224, 30, 58, 908, 7981, 40731, 12679, 281, 15774, 323, 11897, 7919, 8974, 16, 961, 10366, 318, 1698, 29653, 19943, 46050, 2774, 28146, 35591, 670, 5305, 5371, 2376, 978, 13756, 18, 6630, 17220, 23844, 2259, 13342, 7572, 519, 23256, 6130, 5642, 16172, 289, 4693, 309, 965, 15442, 334, 6958, 10414, 5259, 9, 4981, 16, 5923, 21408, 18, 1178, 2891, 322, 2618, 7585, 8830, 2644, 2405, 267, 1184, 382, 16, 10366, 268, 895, 10419, 360, 26724, 17085, 282, 30225, 8357, 16, 10050, 10027, 18, 365, 19862, 5854, 1207, 43820, 35242, 5809, 11738, 281, 19796, 290, 14938, 46131, 282, 38729, 33631, 35591, 8974, 16, 2686, 11466, 1867, 16, 374, 381, 46401, 552, 482, 8180, 1003, 18, 478, 677, 7623, 2083, 656, 1121, 339, 9744, 281, 15310, 353, 334, 5083, 38280, 9713, 282, 3518, 4990, 4871, 334, 2405, 267, 1184, 582, 18, 4406, 34550, 11050, 5439, 360, 667, 3750, 651, 590, 8807, 4871, 18, 1345, 27797, 17929, 360, 8383, 366, 910, 510, 8977, 478, 46088, 18, 8381, 470, 47835, 17, 23390, 320, 43820, 13949, 1075, 1072, 19518, 1241, 344, 4086, 18, 640, 9155, 281, 7638, 17, 41854, 30012, 491, 3597, 4479, 779, 5037, 44549, 19432, 8790, 842, 3975, 268, 11661, 26945, 282, 8357, 282, 1175, 16, 827, 22736, 3741, 8410, 10906, 8369, 3569, 8764, 27225, 367, 290, 3741, 4190, 2405, 267, 1184, 382, 16, 2686, 1435, 2523, 5747, 6529, 25457, 11534, 9858, 360, 1129, 16, 5301, 478, 15210, 470, 477, 7755, 309, 8348, 1902, 59, 18, 19112, 2644, 33631, 35591, 8974, 16, 1103, 39996, 15635, 6945, 3672, 25903, 264, 30810, 304, 4031, 2155, 541, 35591, 5642, 282, 1175, 309, 1488, 986, 16, 23711, 309, 2961, 12171, 15442, 334, 4982, 395, 289, 6958, 10414, 4981, 898, 5063, 1007, 13798, 4479, 779, 18, 1606, 36583, 15634, 6958, 10414, 4981, 519, 5259, 7418, 7572, 1033, 7593, 6130, 5642, 282, 1205, 16, 367, 1038, 7572, 282, 1175, 22601, 289, 47239, 25087, 16, 24204, 3899, 382, 25300, 432, 15965, 289, 14108, 10007, 17, 35145, 5500, 18, 4039, 3750, 290, 30554, 11246, 282, 3655, 3672, 12002, 1421, 41724, 13257, 473, 58, 908, 7981, 40731, 651, 528, 10589, 31, 478, 21383, 3327, 267, 17, 42, 2577, 18130, 478, 46041, 46852, 10589, 470, 1224, 38392, 3565, 510, 50, 43255, 2884, 471, 732, 9213, 299, 470, 2884, 21805, 10589, 2884, 49, 444, 36608, 17, 38, 29905, 934, 367, 1038, 1149, 33790, 16, 1180, 49, 289, 17429, 12718, 651, 334, 33748, 18, 967, 803, 282, 4542, 17407, 6325, 4871, 3569, 8764, 755, 486, 685, 519, 13808, 281, 9752, 43579, 37732, 1624, 1978, 20202, 35212, 8357, 8974, 16, 1611, 9522, 19943, 715, 47, 40, 473, 273, 1005, 315, 2774, 271, 2232, 3191, 343, 934, 581, 2989, 1611, 5970, 43227, 11726, 18, 365, 1423, 3678, 16, 481, 13748, 294, 1435, 6298, 2644, 381, 11176, 763, 17384, 2567, 8974, 281, 2555, 9, 519, 1061, 9, 360, 7203, 7619, 8974, 16, 4460, 1378, 349, 39837, 1205, 18, 889, 322, 5736, 44464, 43820, 16, 282, 9118, 2024, 8034, 294, 11826, 1045, 7477, 1938, 3610, 9, 7043, 2245, 11881, 282, 1175, 8974, 18, 640, 7427, 545, 1212, 7547, 46580, 263, 3785, 20515, 1533, 13542, 19943, 46050, 2774, 28146, 35591, 289, 26579, 294, 9747, 4440, 779, 13342, 27698, 4981, 519, 21268, 6130, 16482, 18, 6083, 346, 20122, 19574, 16, 23970, 267, 38392, 3565, 17, 50, 43255, 16, 4660, 35803, 1974, 281, 478, 46041, 46852, 10589, 304, 470, 294, 2801, 1045, 16520, 282, 457, 44720, 1488, 3161, 6130, 8974, 16, 5524, 5460, 20321, 290, 2405, 267, 1184, 582, 20037, 18, 478, 4348, 14525, 290, 18979, 43820, 289, 16, 477, 1360, 1963, 16, 11843, 2023, 16, 374, 38392, 3565, 282, 3518, 22027, 309, 5734, 2083, 17229, 475, 20037, 910, 510, 2323, 478, 46088, 18, 8381, 470, 6187, 334, 42604, 281, 45159, 38392, 3565, 282, 1175, 30936, 29707, 756, 18, 6176, 3595, 11413, 1038, 20374, 345, 16393, 282, 4599, 12917, 1902, 59, 18, 365, 2343, 3750, 282, 3569, 8764, 27225, 16, 37732, 289, 3197, 29190, 11198, 4934, 9324, 23527, 34550, 11050, 5439, 2407, 9001, 9620, 478, 280, 1724, 8630, 396, 8807, 470, 2644, 2405, 267, 1184, 382, 764, 519, 9512, 31950, 7953, 432, 27480, 281, 7547, 23766, 5326, 861, 824, 3761, 21408, 16, 3569, 8764, 27225, 289, 37732, 27875, 6815, 5331, 12851, 309, 34550, 9620, 18, 37732, 322, 15349, 8369, 43820, 289, 322, 15069, 6405, 47108, 2644, 4090, 10342, 2405, 267, 1184, 382, 16, 6442, 478, 34010, 470, 282, 27246, 18, 21102, 26446, 6187, 22029, 346, 10015, 478, 11636, 299, 419, 266, 470, 4210, 40584, 291, 5273, 16, 374, 43820, 322, 5304, 9422, 5836, 24602, 8468, 18, 478, 677, 989, 520, 773, 9553, 8830, 481, 541, 965, 18, 1303, 5917, 360, 6569, 7842, 6271, 16, 428, 745, 17273, 4364, 309, 8348, 43820, 18, 1178, 334, 19745, 2236, 18990, 1747, 12631, 502, 16, 374, 20037, 5906, 16, 651, 1174, 4973, 1992, 5667, 1967, 9206, 289, 27480, 910, 510, 1109, 12189, 478, 46088, 18, 8381, 861, 2, 1, 87, 1456, 81, 2448, 30, 7306, 21953, 8144, 37818, 282, 3800, 281, 46608, 20448, 309, 16043, 8300, 16504, 434, 12188, 15581, 309, 2923, 308, 6399, 399, 14850, 16276, 269, 17, 599, 288, 17, 1295, 350, 510, 3580, 2660, 274, 1428, 18, 8230, 2325, 516, 8156, 281, 5420, 2713, 3991, 36197, 2341, 4030, 47960, 16626, 35481, 718, 11604, 1175, 478, 20314, 1270, 11717, 470, 289, 478, 21664, 589, 315, 861, 31224, 30, 14237, 1502, 1133, 2713, 3595, 5445, 9311, 282, 1332, 2660, 274, 1428, 309, 14656, 8144, 282, 5953, 4017, 360, 8535, 281, 7412, 635, 18, 3863, 2723, 1545, 11299, 15344, 3348, 411, 14795, 653, 2362, 291, 15581, 26755, 17567, 478, 26994, 7441, 470, 473, 4354, 298, 8991, 282, 1175, 814, 478, 14237, 1502, 1133, 22613, 9537, 424, 6457, 8275, 309, 23000, 2001, 16, 18639, 2429, 1187, 17, 730, 1408, 807, 289, 4972, 2725, 7895, 3766, 17, 1009, 12169, 526, 18, 415, 22053, 7050, 20393, 4257, 281, 46608, 8272, 309, 15956, 2001, 16, 988, 5445, 23387, 47024, 367, 301, 17, 49239, 1908, 289, 4972, 3766, 17, 780, 1117, 2503, 509, 274, 910, 510, 3828, 7528, 32351, 6118, 4257, 8144, 18, 817, 1038, 4848, 16, 374, 13450, 1162, 10169, 5186, 332, 11656, 3271, 50243 ]