Datasets:
Dmitriy007
/
Lenta_2

Dataset card Viewer Files Community
1
input_ids
sequencelengths
1.05k
1.05k
attention_mask
sequencelengths
1.05k
1.05k
labels
sequencelengths
1.05k
1.05k
[ 2548, 492, 18, 1860, 4331, 468, 11553, 4966, 281, 13373, 11956, 36980, 5526, 4869, 19750, 510, 481, 15068, 8969, 309, 808, 502, 16, 374, 912, 16, 541, 11806, 289, 14938, 9713, 282, 7823, 16, 12557, 11309, 43788, 8827, 4944, 403, 1018, 15226, 18, 478, 4441, 5828, 42248, 16, 428, 2615, 3321, 41319, 12130, 16, 1029, 9414, 4686, 10526, 282, 4773, 10178, 975, 6829, 18, 740, 481, 40469, 7272, 910, 510, 46340, 492, 18, 28186, 5500, 15008, 30870, 17461, 11385, 3063, 18748, 9409, 4035, 4261, 609, 1162, 2548, 290, 478, 911, 547, 46639, 927, 470, 282, 3507, 18, 478, 682, 24925, 11043, 344, 8166, 1135, 16, 31468, 10526, 282, 17521, 289, 4463, 41268, 3216, 1165, 18, 3791, 975, 6332, 14185, 7193, 510, 7193, 15046, 4999, 18, 22658, 8084, 16, 374, 4010, 17, 299, 808, 1747, 3624, 1871, 4966, 30, 2879, 34065, 26816, 1552, 16, 3531, 1749, 2125, 282, 837, 319, 16, 7099, 1101, 16, 289, 687, 1011, 978, 7193, 20888, 38009, 3340, 50234, 1617, 17260, 910, 510, 18604, 2712, 678, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 2025, 736, 448, 16570, 11854, 16, 23006, 282, 1087, 5038, 8803, 16, 1698, 46497, 309, 2511, 17, 3114, 9, 282, 28731, 1045, 18, 11339, 1223, 16, 481, 9245, 281, 49170, 43460, 7143, 4151, 282, 4301, 10326, 478, 8812, 933, 2766, 291, 470, 289, 40217, 9107, 2009, 13098, 13311, 5197, 281, 430, 3598, 16, 2486, 2413, 6050, 2364, 816, 3763, 1135, 18, 19080, 5273, 16, 374, 44690, 282, 6031, 322, 11981, 349, 14536, 1906, 13230, 4999, 282, 1032, 5999, 31224, 30, 18418, 1491, 2430, 28035, 37696, 7143, 416, 15363, 1175, 6591, 25282, 16570, 309, 5066, 2511, 17, 3114, 9, 349, 11826, 1205, 18, 478, 36327, 43460, 282, 1087, 5038, 8803, 282, 11099, 349, 11826, 1205, 334, 7168, 25036, 895, 16122, 2364, 2511, 17, 3114, 9, 336, 19, 297, 16, 367, 282, 26155, 1045, 3585, 21778, 519, 4999, 16597, 24574, 334, 29251, 473, 24, 21327, 827, 322, 16379, 7243, 642, 1954, 2393, 4696, 11897, 13311, 5197, 910, 376, 5130, 282, 33841, 22996, 1347, 18, 9639, 6591, 17045, 18604, 7964, 516, 45894, 1066, 282, 816, 16, 25, 4570, 18, 824, 9268, 3352, 24777, 1175, 16, 13387, 2232, 44690, 18814, 519, 491, 16, 6654, 9, 282, 11500, 1011, 491, 16, 2692, 9, 282, 12500, 309, 8011, 50093, 7019, 2898, 309, 7240, 262, 615, 335, 668, 15966, 18, 824, 8872, 3990, 4498, 3419, 290, 491, 16, 24, 5999, 1895, 40624, 755, 322, 33201, 16, 374, 44690, 840, 47540, 294, 1032, 9, 1033, 6853, 12311, 40169, 282, 803, 1045, 18, 4756, 5037, 19080, 2407, 9060, 45685, 640, 818, 2679, 4086, 9321, 16, 374, 309, 6398, 978, 779, 44690, 895, 16122, 360, 816, 9, 519, 1032, 9, 289, 840, 11392, 15953, 1032, 9, 282, 26155, 1045, 18, 365, 3084, 4996, 6591, 43460, 840, 50101, 349, 2948, 11897, 9107, 2009, 13098, 13311, 5197, 473, 780, 5125, 789, 13, 519, 6232, 21251, 37158, 281, 430, 3598, 978, 779, 289, 10326, 478, 8812, 933, 2766, 291, 470, 4830, 18, 4809, 1880, 13367, 421, 5125, 789, 840, 16865, 349, 1205, 1177, 1205, 18, 385, 430, 3612, 43764, 5040, 43460, 685, 2957, 928, 519, 1658, 11281, 29, 2791, 282, 5004, 18, 4541, 4770, 1175, 4137, 6732, 25960, 22482, 15634, 421, 5125, 789, 519, 6232, 21251, 37158, 281, 2742, 26155, 17, 361, 309, 430, 3598, 978, 779, 18, 21552, 5197, 289, 8752, 6198, 2407, 6729, 20622, 925, 268, 3153, 290, 970, 16, 374, 6591, 2413, 6050, 7431, 816, 3763, 1135, 18, 1606, 8070, 16419, 309, 478, 353, 4131, 454, 910, 3077, 668, 6232, 1825, 1147, 46878, 349, 2992, 20981, 7847, 779, 16, 376, 2287, 2261, 23, 10597, 18, 4756, 309, 11073, 20148, 7067, 4551, 34283, 38301, 1175, 16, 6729, 20622, 925, 268, 4848, 16, 374, 1800, 726, 8849, 18856, 15046, 5439, 290, 4442, 763, 24669, 2675, 19323, 7431, 1939, 5096, 2791, 309, 13367, 25282, 16570, 282, 2630, 281, 40217, 9107, 2009, 13098, 13311, 5197, 281, 430, 3598, 18, 23162, 16, 1314, 21708, 3003, 290, 29860, 5791, 277, 764, 764, 2261, 16, 24, 5096, 2791, 309, 870, 17795, 18, 37188, 12595, 391, 19937, 1624, 5037, 7920, 16934, 334, 39293, 16, 8752, 13441, 289, 9942, 27019, 16, 4419, 726, 5860, 4615, 6106, 16, 374, 28218, 309, 7512, 16, 519, 1754, 16907, 421, 5125, 789, 16, 4385, 18, 478, 1140, 283, 21410, 16, 374, 1373, 656, 18997, 381, 2287, 1910, 12429, 2791, 16, 281, 1639, 2003, 14283, 1938, 764, 289, 3544, 490, 451, 5337, 2511, 5999, 3923, 16, 4385, 309, 1129, 28218, 18, 1735, 1533, 2634, 2791, 18, 985, 32080, 1135, 895, 28218, 309, 2089, 7512, 35, 3647, 1176, 18, 439, 764, 827, 6956, 16, 40134, 17, 39698, 1924, 6196, 3666, 575, 16, 19026, 16, 12638, 11608, 18, 3923, 16, 481, 1500, 3560, 8396, 16, 1029, 4360, 8998, 26539, 8748, 874, 5067, 16, 322, 13967, 281, 48266, 30, 13501, 28217, 485, 34499, 14789, 16, 2399, 276, 16, 5156, 18, 629, 935, 726, 290, 6923, 432, 289, 5904, 432, 2304, 2662, 322, 5755, 910, 376, 2815, 492, 282, 11526, 1555, 7337, 478, 46088, 18, 8381, 861, 5333, 2175, 16, 7155, 16, 374, 421, 5125, 789, 475, 3066, 322, 9553, 18787, 519, 6232, 21251, 37158, 16, 453, 428, 4128, 15870, 2511, 17, 45900, 451, 3544, 490, 451, 5337, 18, 8919, 20630, 617, 13098, 9107, 2009, 13098, 43460, 519, 1939, 2634, 2791, 28508, 4407, 2389, 5112, 1188, 7638, 17, 41854, 1175, 48116, 16640, 225, 1116, 567, 808, 505, 29471, 282, 17281, 28079, 11919, 18, 824, 3163, 31980, 16, 309, 478, 46605, 32221, 15634, 9107, 2009, 13098, 13311, 5197, 282, 38204, 282, 7623, 2083, 1003, 861, 967, 803, 5037, 2974, 7001, 4725, 16, 374, 3342, 622, 6048, 1807, 3989, 38995, 8751, 10784, 16, 515, 12182, 309, 3427, 7811, 281, 2184, 22760, 3924, 2125, 953, 5851, 758, 18, 478, 35086, 21627, 11291, 2089, 10784, 687, 6929, 17714, 421, 5125, 19022, 16, 428, 373, 1299, 978, 537, 3813, 910, 376, 1109, 16640, 282, 48619, 18, 1397, 5327, 13144, 478, 8812, 933, 2766, 291, 470, 334, 30106, 25282, 16570, 16, 502, 4419, 20622, 925, 268, 33420, 16, 374, 282, 5329, 16174, 5575, 13689, 334, 1514, 19084, 277, 9657, 16, 515, 912, 44608, 334, 28950, 5791, 277, 334, 9044, 478, 38430, 448, 8811, 861, 478, 4408, 22755, 10650, 20740, 15852, 651, 334, 40801, 16, 334, 8567, 7768, 3140, 16, 334, 41148, 2161, 4304, 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 ]
[ 2548, 492, 18, 1860, 4331, 468, 11553, 4966, 281, 13373, 11956, 36980, 5526, 4869, 19750, 510, 481, 15068, 8969, 309, 808, 502, 16, 374, 912, 16, 541, 11806, 289, 14938, 9713, 282, 7823, 16, 12557, 11309, 43788, 8827, 4944, 403, 1018, 15226, 18, 478, 4441, 5828, 42248, 16, 428, 2615, 3321, 41319, 12130, 16, 1029, 9414, 4686, 10526, 282, 4773, 10178, 975, 6829, 18, 740, 481, 40469, 7272, 910, 510, 46340, 492, 18, 28186, 5500, 15008, 30870, 17461, 11385, 3063, 18748, 9409, 4035, 4261, 609, 1162, 2548, 290, 478, 911, 547, 46639, 927, 470, 282, 3507, 18, 478, 682, 24925, 11043, 344, 8166, 1135, 16, 31468, 10526, 282, 17521, 289, 4463, 41268, 3216, 1165, 18, 3791, 975, 6332, 14185, 7193, 510, 7193, 15046, 4999, 18, 22658, 8084, 16, 374, 4010, 17, 299, 808, 1747, 3624, 1871, 4966, 30, 2879, 34065, 26816, 1552, 16, 3531, 1749, 2125, 282, 837, 319, 16, 7099, 1101, 16, 289, 687, 1011, 978, 7193, 20888, 38009, 3340, 50234, 1617, 17260, 910, 510, 18604, 2712, 678, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 2025, 736, 448, 16570, 11854, 16, 23006, 282, 1087, 5038, 8803, 16, 1698, 46497, 309, 2511, 17, 3114, 9, 282, 28731, 1045, 18, 11339, 1223, 16, 481, 9245, 281, 49170, 43460, 7143, 4151, 282, 4301, 10326, 478, 8812, 933, 2766, 291, 470, 289, 40217, 9107, 2009, 13098, 13311, 5197, 281, 430, 3598, 16, 2486, 2413, 6050, 2364, 816, 3763, 1135, 18, 19080, 5273, 16, 374, 44690, 282, 6031, 322, 11981, 349, 14536, 1906, 13230, 4999, 282, 1032, 5999, 31224, 30, 18418, 1491, 2430, 28035, 37696, 7143, 416, 15363, 1175, 6591, 25282, 16570, 309, 5066, 2511, 17, 3114, 9, 349, 11826, 1205, 18, 478, 36327, 43460, 282, 1087, 5038, 8803, 282, 11099, 349, 11826, 1205, 334, 7168, 25036, 895, 16122, 2364, 2511, 17, 3114, 9, 336, 19, 297, 16, 367, 282, 26155, 1045, 3585, 21778, 519, 4999, 16597, 24574, 334, 29251, 473, 24, 21327, 827, 322, 16379, 7243, 642, 1954, 2393, 4696, 11897, 13311, 5197, 910, 376, 5130, 282, 33841, 22996, 1347, 18, 9639, 6591, 17045, 18604, 7964, 516, 45894, 1066, 282, 816, 16, 25, 4570, 18, 824, 9268, 3352, 24777, 1175, 16, 13387, 2232, 44690, 18814, 519, 491, 16, 6654, 9, 282, 11500, 1011, 491, 16, 2692, 9, 282, 12500, 309, 8011, 50093, 7019, 2898, 309, 7240, 262, 615, 335, 668, 15966, 18, 824, 8872, 3990, 4498, 3419, 290, 491, 16, 24, 5999, 1895, 40624, 755, 322, 33201, 16, 374, 44690, 840, 47540, 294, 1032, 9, 1033, 6853, 12311, 40169, 282, 803, 1045, 18, 4756, 5037, 19080, 2407, 9060, 45685, 640, 818, 2679, 4086, 9321, 16, 374, 309, 6398, 978, 779, 44690, 895, 16122, 360, 816, 9, 519, 1032, 9, 289, 840, 11392, 15953, 1032, 9, 282, 26155, 1045, 18, 365, 3084, 4996, 6591, 43460, 840, 50101, 349, 2948, 11897, 9107, 2009, 13098, 13311, 5197, 473, 780, 5125, 789, 13, 519, 6232, 21251, 37158, 281, 430, 3598, 978, 779, 289, 10326, 478, 8812, 933, 2766, 291, 470, 4830, 18, 4809, 1880, 13367, 421, 5125, 789, 840, 16865, 349, 1205, 1177, 1205, 18, 385, 430, 3612, 43764, 5040, 43460, 685, 2957, 928, 519, 1658, 11281, 29, 2791, 282, 5004, 18, 4541, 4770, 1175, 4137, 6732, 25960, 22482, 15634, 421, 5125, 789, 519, 6232, 21251, 37158, 281, 2742, 26155, 17, 361, 309, 430, 3598, 978, 779, 18, 21552, 5197, 289, 8752, 6198, 2407, 6729, 20622, 925, 268, 3153, 290, 970, 16, 374, 6591, 2413, 6050, 7431, 816, 3763, 1135, 18, 1606, 8070, 16419, 309, 478, 353, 4131, 454, 910, 3077, 668, 6232, 1825, 1147, 46878, 349, 2992, 20981, 7847, 779, 16, 376, 2287, 2261, 23, 10597, 18, 4756, 309, 11073, 20148, 7067, 4551, 34283, 38301, 1175, 16, 6729, 20622, 925, 268, 4848, 16, 374, 1800, 726, 8849, 18856, 15046, 5439, 290, 4442, 763, 24669, 2675, 19323, 7431, 1939, 5096, 2791, 309, 13367, 25282, 16570, 282, 2630, 281, 40217, 9107, 2009, 13098, 13311, 5197, 281, 430, 3598, 18, 23162, 16, 1314, 21708, 3003, 290, 29860, 5791, 277, 764, 764, 2261, 16, 24, 5096, 2791, 309, 870, 17795, 18, 37188, 12595, 391, 19937, 1624, 5037, 7920, 16934, 334, 39293, 16, 8752, 13441, 289, 9942, 27019, 16, 4419, 726, 5860, 4615, 6106, 16, 374, 28218, 309, 7512, 16, 519, 1754, 16907, 421, 5125, 789, 16, 4385, 18, 478, 1140, 283, 21410, 16, 374, 1373, 656, 18997, 381, 2287, 1910, 12429, 2791, 16, 281, 1639, 2003, 14283, 1938, 764, 289, 3544, 490, 451, 5337, 2511, 5999, 3923, 16, 4385, 309, 1129, 28218, 18, 1735, 1533, 2634, 2791, 18, 985, 32080, 1135, 895, 28218, 309, 2089, 7512, 35, 3647, 1176, 18, 439, 764, 827, 6956, 16, 40134, 17, 39698, 1924, 6196, 3666, 575, 16, 19026, 16, 12638, 11608, 18, 3923, 16, 481, 1500, 3560, 8396, 16, 1029, 4360, 8998, 26539, 8748, 874, 5067, 16, 322, 13967, 281, 48266, 30, 13501, 28217, 485, 34499, 14789, 16, 2399, 276, 16, 5156, 18, 629, 935, 726, 290, 6923, 432, 289, 5904, 432, 2304, 2662, 322, 5755, 910, 376, 2815, 492, 282, 11526, 1555, 7337, 478, 46088, 18, 8381, 861, 5333, 2175, 16, 7155, 16, 374, 421, 5125, 789, 475, 3066, 322, 9553, 18787, 519, 6232, 21251, 37158, 16, 453, 428, 4128, 15870, 2511, 17, 45900, 451, 3544, 490, 451, 5337, 18, 8919, 20630, 617, 13098, 9107, 2009, 13098, 43460, 519, 1939, 2634, 2791, 28508, 4407, 2389, 5112, 1188, 7638, 17, 41854, 1175, 48116, 16640, 225, 1116, 567, 808, 505, 29471, 282, 17281, 28079, 11919, 18, 824, 3163, 31980, 16, 309, 478, 46605, 32221, 15634, 9107, 2009, 13098, 13311, 5197, 282, 38204, 282, 7623, 2083, 1003, 861, 967, 803, 5037, 2974, 7001, 4725, 16, 374, 3342, 622, 6048, 1807, 3989, 38995, 8751, 10784, 16, 515, 12182, 309, 3427, 7811, 281, 2184, 22760, 3924, 2125, 953, 5851, 758, 18, 478, 35086, 21627, 11291, 2089, 10784, 687, 6929, 17714, 421, 5125, 19022, 16, 428, 373, 1299, 978, 537, 3813, 910, 376, 1109, 16640, 282, 48619, 18, 1397, 5327, 13144, 478, 8812, 933, 2766, 291, 470, 334, 30106, 25282, 16570, 16, 502, 4419, 20622, 925, 268, 33420, 16, 374, 282, 5329, 16174, 5575, 13689, 334, 1514, 19084, 277, 9657, 16, 515, 912, 44608, 334, 28950, 5791, 277, 334, 9044, 478, 38430, 448, 8811, 861, 478, 4408, 22755, 10650, 20740, 15852, 651, 334, 40801, 16, 334, 8567, 7768, 3140, 16, 334, 41148, 2161, 4304, 16 ]
[ 334, 1028, 3756, 2526, 1147, 25516, 16, 334, 12202, 2050, 4151, 16, 334, 5444, 3326, 16, 1028, 3756, 4808, 2818, 5645, 1918, 16, 334, 14742, 6648, 16, 2766, 276, 26238, 16, 651, 1109, 8099, 309, 11073, 20148, 7067, 727, 45212, 730, 18, 35067, 2430, 13639, 2712, 15733, 468, 7019, 43460, 322, 687, 329, 7143, 1051, 16, 515, 289, 282, 39859, 25858, 18, 985, 3014, 411, 4974, 22996, 1347, 16, 9402, 17714, 478, 26915, 953, 13965, 7919, 24998, 4170, 309, 5814, 5197, 289, 30149, 1357, 24786, 349, 16801, 6728, 26819, 282, 9261, 45132, 861, 478, 31019, 416, 8219, 282, 6591, 43460, 26175, 15397, 7316, 332, 24283, 423, 4754, 19382, 38327, 16, 988, 7601, 448, 16570, 20299, 282, 491, 16, 22, 4570, 334, 7413, 281, 3072, 628, 7847, 779, 18, 740, 289, 749, 14167, 24283, 423, 14178, 16, 6591, 43460, 282, 39859, 25858, 1559, 13866, 885, 3328, 18, 365, 2456, 14244, 25858, 334, 21811, 9657, 282, 32974, 26118, 2110, 30503, 7019, 7601, 432, 5209, 12076, 1912, 16, 25, 9, 910, 376, 45378, 5024, 282, 33298, 1414, 19080, 2407, 18, 4756, 20439, 1175, 18604, 3064, 15634, 7019, 26118, 1901, 43460, 282, 1175, 282, 28731, 1045, 3230, 1533, 5999, 478, 36327, 26118, 1901, 43460, 895, 6245, 3633, 1533, 9, 334, 8872, 11826, 779, 910, 376, 3014, 411, 4974, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 17134, 17, 3822, 711, 2145, 30, 16608, 22936, 312, 289, 15017, 21774, 1549, 326, 11930, 294, 28910, 272, 289, 322, 438, 1041, 3616, 16, 478, 9284, 285, 13766, 269, 470, 25469, 46915, 12776, 26914, 597, 16, 478, 3693, 42455, 4887, 470, 10662, 5901, 290, 970, 16, 374, 40994, 1320, 10441, 16, 367, 478, 33982, 45363, 2617, 1712, 470, 39936, 305, 4698, 21901, 18, 31224, 30, 677, 3998, 6374, 17, 292, 16608, 22936, 312, 685, 6152, 20518, 571, 22859, 16, 477, 2200, 11338, 309, 38246, 289, 48834, 10276, 1082, 567, 34613, 1378, 42558, 18, 5043, 16, 289, 49715, 21774, 1549, 326, 7117, 13943, 322, 6898, 30, 46348, 478, 789, 673, 323, 289, 764, 10455, 1674, 470, 906, 697, 28910, 304, 282, 9440, 10884, 16, 367, 7143, 9756, 685, 4179, 33156, 473, 27958, 4843, 3420, 3763, 814, 365, 4784, 16, 10689, 36653, 428, 1381, 30, 21774, 1549, 326, 5684, 49909, 18653, 473, 33257, 17379, 282, 13006, 464, 2364, 4843, 37168, 3763, 289, 685, 6531, 18566, 1479, 20457, 934, 581, 289, 541, 20700, 22936, 312, 1542, 32338, 32026, 322, 13180, 4119, 18, 3575, 289, 329, 9440, 2477, 16, 289, 329, 30077, 639, 13729, 647, 44091, 16, 4618, 13729, 647, 16, 374, 5371, 2523, 282, 3998, 3136, 34273, 4569, 4873, 294, 478, 789, 673, 825, 470, 6382, 749, 697, 8465, 18, 1303, 481, 808, 745, 3891, 2238, 43975, 510, 367, 1314, 16, 1011, 4335, 986, 16, 34396, 322, 939, 309, 4432, 16, 21774, 1549, 326, 289, 22936, 312, 1858, 36653, 1974, 16, 5371, 275, 17355, 3217, 9756, 11144, 779, 18, 999, 1595, 2615, 46915, 12776, 281, 2418, 334, 2261, 4120, 478, 789, 673, 323, 289, 764, 10455, 1674, 491, 470, 28474, 282, 19842, 2244, 12654, 11908, 4843, 8081, 3763, 16, 43009, 10793, 6441, 2496, 15474, 21774, 1549, 326, 18, 365, 4676, 25097, 5174, 298, 1779, 586, 5499, 280, 473, 6157, 323, 22936, 312, 934, 2454, 274, 1269, 986, 282, 2835, 24356, 2827, 16, 1858, 28671, 282, 6213, 1974, 281, 5174, 1740, 1757, 10467, 473, 30478, 27400, 310, 267, 25408, 753, 4366, 975, 3089, 6304, 289, 3531, 21146, 18, 35909, 3050, 32338, 282, 2159, 808, 26405, 11028, 309, 46144, 1223, 4843, 3902, 3763, 510, 3754, 16, 1655, 289, 19092, 693, 925, 46698, 426, 16, 581, 289, 20495, 309, 8357, 4660, 17801, 1965, 334, 17, 15253, 18, 20736, 24690, 281, 931, 20490, 7990, 11112, 282, 1272, 281, 16401, 4570, 47568, 5041, 3763, 934, 289, 16, 753, 14062, 924, 575, 21522, 16, 1029, 31773, 1939, 986, 2158, 2615, 6793, 16, 2518, 954, 4128, 23468, 16, 23468, 289, 23468, 31, 515, 726, 6218, 510, 15562, 22936, 312, 289, 14200, 21774, 1549, 326, 965, 764, 322, 33378, 576, 16, 2805, 827, 745, 15123, 11273, 16, 1904, 3337, 1453, 26288, 18, 48233, 3595, 28929, 8070, 5298, 6793, 282, 44397, 21332, 30, 282, 1175, 478, 789, 673, 323, 289, 764, 10455, 1674, 491, 470, 8874, 282, 26834, 430, 3612, 2604, 779, 18, 727, 3150, 27744, 6793, 27655, 10223, 391, 1869, 324, 478, 9284, 285, 13766, 269, 470, 428, 17, 299, 322, 7140, 847, 27830, 4781, 807, 1318, 304, 16, 4813, 309, 44854, 16, 7390, 4846, 16, 6266, 289, 3084, 47568, 3902, 25, 3763, 13, 7143, 18, 40788, 935, 322, 9253, 17318, 11464, 1756, 282, 33937, 44137, 17, 7355, 409, 16, 2486, 28774, 1450, 334, 8872, 2845, 2203, 18, 999, 46915, 12776, 478, 9284, 285, 13766, 269, 470, 28474, 4843, 6894, 16, 22, 3763, 289, 1559, 1472, 24721, 18, 49436, 575, 35263, 8621, 1320, 1055, 13060, 5832, 19279, 35223, 510, 1223, 4843, 6091, 23, 16, 23, 3763, 334, 4547, 8290, 16, 289, 519, 6409, 9737, 513, 24529, 15922, 2003, 17338, 764, 4652, 4443, 575, 473, 10767, 15870, 10322, 7050, 309, 20775, 2764, 814, 24605, 575, 1756, 25906, 14240, 6170, 404, 14337, 26914, 277, 478, 26145, 14582, 910, 45828, 1779, 349, 16741, 4843, 8066, 3763, 18, 439, 17437, 11453, 2147, 1335, 23310, 567, 1514, 2968, 1269, 4803, 16, 828, 329, 478, 9284, 285, 13766, 287, 910, 510, 1223, 4843, 3940, 28, 16, 23, 3763, 473, 960, 3716, 7077, 30558, 38204, 814, 20876, 2840, 2756, 7279, 3050, 14715, 39521, 478, 3693, 42455, 4887, 910, 1586, 7601, 455, 4843, 26, 16, 25, 3763, 282, 6152, 25438, 473, 21, 16, 27, 4500, 18, 19842, 483, 13, 13006, 464, 18, 14654, 282, 25097, 3419, 290, 2491, 2545, 48947, 800, 473, 1674, 9988, 15672, 7211, 1162, 21412, 6470, 877, 421, 39482, 17, 730, 6194, 934, 1586, 322, 18950, 1211, 24555, 20532, 289, 9414, 30409, 281, 1807, 18, 1268, 3422, 722, 36187, 11469, 6233, 473, 391, 4013, 266, 4874, 9058, 25408, 1029, 9414, 1852, 3079, 635, 16, 289, 773, 10412, 12369, 16, 2353, 520, 697, 5318, 2530, 643, 4436, 11180, 18, 24491, 1461, 348, 306, 24690, 451, 16, 1830, 39801, 9872, 44709, 281, 20057, 304, 473, 964, 8357, 10225, 1223, 4843, 27, 3763, 934, 453, 374, 9737, 589, 506, 492, 5304, 16, 367, 1215, 17338, 1269, 510, 7006, 520, 18, 478, 3693, 42455, 4887, 470, 519, 13006, 354, 13382, 282, 4335, 11673, 43981, 1751 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 334, 1028, 3756, 2526, 1147, 25516, 16, 334, 12202, 2050, 4151, 16, 334, 5444, 3326, 16, 1028, 3756, 4808, 2818, 5645, 1918, 16, 334, 14742, 6648, 16, 2766, 276, 26238, 16, 651, 1109, 8099, 309, 11073, 20148, 7067, 727, 45212, 730, 18, 35067, 2430, 13639, 2712, 15733, 468, 7019, 43460, 322, 687, 329, 7143, 1051, 16, 515, 289, 282, 39859, 25858, 18, 985, 3014, 411, 4974, 22996, 1347, 16, 9402, 17714, 478, 26915, 953, 13965, 7919, 24998, 4170, 309, 5814, 5197, 289, 30149, 1357, 24786, 349, 16801, 6728, 26819, 282, 9261, 45132, 861, 478, 31019, 416, 8219, 282, 6591, 43460, 26175, 15397, 7316, 332, 24283, 423, 4754, 19382, 38327, 16, 988, 7601, 448, 16570, 20299, 282, 491, 16, 22, 4570, 334, 7413, 281, 3072, 628, 7847, 779, 18, 740, 289, 749, 14167, 24283, 423, 14178, 16, 6591, 43460, 282, 39859, 25858, 1559, 13866, 885, 3328, 18, 365, 2456, 14244, 25858, 334, 21811, 9657, 282, 32974, 26118, 2110, 30503, 7019, 7601, 432, 5209, 12076, 1912, 16, 25, 9, 910, 376, 45378, 5024, 282, 33298, 1414, 19080, 2407, 18, 4756, 20439, 1175, 18604, 3064, 15634, 7019, 26118, 1901, 43460, 282, 1175, 282, 28731, 1045, 3230, 1533, 5999, 478, 36327, 26118, 1901, 43460, 895, 6245, 3633, 1533, 9, 334, 8872, 11826, 779, 910, 376, 3014, 411, 4974, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 17134, 17, 3822, 711, 2145, 30, 16608, 22936, 312, 289, 15017, 21774, 1549, 326, 11930, 294, 28910, 272, 289, 322, 438, 1041, 3616, 16, 478, 9284, 285, 13766, 269, 470, 25469, 46915, 12776, 26914, 597, 16, 478, 3693, 42455, 4887, 470, 10662, 5901, 290, 970, 16, 374, 40994, 1320, 10441, 16, 367, 478, 33982, 45363, 2617, 1712, 470, 39936, 305, 4698, 21901, 18, 31224, 30, 677, 3998, 6374, 17, 292, 16608, 22936, 312, 685, 6152, 20518, 571, 22859, 16, 477, 2200, 11338, 309, 38246, 289, 48834, 10276, 1082, 567, 34613, 1378, 42558, 18, 5043, 16, 289, 49715, 21774, 1549, 326, 7117, 13943, 322, 6898, 30, 46348, 478, 789, 673, 323, 289, 764, 10455, 1674, 470, 906, 697, 28910, 304, 282, 9440, 10884, 16, 367, 7143, 9756, 685, 4179, 33156, 473, 27958, 4843, 3420, 3763, 814, 365, 4784, 16, 10689, 36653, 428, 1381, 30, 21774, 1549, 326, 5684, 49909, 18653, 473, 33257, 17379, 282, 13006, 464, 2364, 4843, 37168, 3763, 289, 685, 6531, 18566, 1479, 20457, 934, 581, 289, 541, 20700, 22936, 312, 1542, 32338, 32026, 322, 13180, 4119, 18, 3575, 289, 329, 9440, 2477, 16, 289, 329, 30077, 639, 13729, 647, 44091, 16, 4618, 13729, 647, 16, 374, 5371, 2523, 282, 3998, 3136, 34273, 4569, 4873, 294, 478, 789, 673, 825, 470, 6382, 749, 697, 8465, 18, 1303, 481, 808, 745, 3891, 2238, 43975, 510, 367, 1314, 16, 1011, 4335, 986, 16, 34396, 322, 939, 309, 4432, 16, 21774, 1549, 326, 289, 22936, 312, 1858, 36653, 1974, 16, 5371, 275, 17355, 3217, 9756, 11144, 779, 18, 999, 1595, 2615, 46915, 12776, 281, 2418, 334, 2261, 4120, 478, 789, 673, 323, 289, 764, 10455, 1674, 491, 470, 28474, 282, 19842, 2244, 12654, 11908, 4843, 8081, 3763, 16, 43009, 10793, 6441, 2496, 15474, 21774, 1549, 326, 18, 365, 4676, 25097, 5174, 298, 1779, 586, 5499, 280, 473, 6157, 323, 22936, 312, 934, 2454, 274, 1269, 986, 282, 2835, 24356, 2827, 16, 1858, 28671, 282, 6213, 1974, 281, 5174, 1740, 1757, 10467, 473, 30478, 27400, 310, 267, 25408, 753, 4366, 975, 3089, 6304, 289, 3531, 21146, 18, 35909, 3050, 32338, 282, 2159, 808, 26405, 11028, 309, 46144, 1223, 4843, 3902, 3763, 510, 3754, 16, 1655, 289, 19092, 693, 925, 46698, 426, 16, 581, 289, 20495, 309, 8357, 4660, 17801, 1965, 334, 17, 15253, 18, 20736, 24690, 281, 931, 20490, 7990, 11112, 282, 1272, 281, 16401, 4570, 47568, 5041, 3763, 934, 289, 16, 753, 14062, 924, 575, 21522, 16, 1029, 31773, 1939, 986, 2158, 2615, 6793, 16, 2518, 954, 4128, 23468, 16, 23468, 289, 23468, 31, 515, 726, 6218, 510, 15562, 22936, 312, 289, 14200, 21774, 1549, 326, 965, 764, 322, 33378, 576, 16, 2805, 827, 745, 15123, 11273, 16, 1904, 3337, 1453, 26288, 18, 48233, 3595, 28929, 8070, 5298, 6793, 282, 44397, 21332, 30, 282, 1175, 478, 789, 673, 323, 289, 764, 10455, 1674, 491, 470, 8874, 282, 26834, 430, 3612, 2604, 779, 18, 727, 3150, 27744, 6793, 27655, 10223, 391, 1869, 324, 478, 9284, 285, 13766, 269, 470, 428, 17, 299, 322, 7140, 847, 27830, 4781, 807, 1318, 304, 16, 4813, 309, 44854, 16, 7390, 4846, 16, 6266, 289, 3084, 47568, 3902, 25, 3763, 13, 7143, 18, 40788, 935, 322, 9253, 17318, 11464, 1756, 282, 33937, 44137, 17, 7355, 409, 16, 2486, 28774, 1450, 334, 8872, 2845, 2203, 18, 999, 46915, 12776, 478, 9284, 285, 13766, 269, 470, 28474, 4843, 6894, 16, 22, 3763, 289, 1559, 1472, 24721, 18, 49436, 575, 35263, 8621, 1320, 1055, 13060, 5832, 19279, 35223, 510, 1223, 4843, 6091, 23, 16, 23, 3763, 334, 4547, 8290, 16, 289, 519, 6409, 9737, 513, 24529, 15922, 2003, 17338, 764, 4652, 4443, 575, 473, 10767, 15870, 10322, 7050, 309, 20775, 2764, 814, 24605, 575, 1756, 25906, 14240, 6170, 404, 14337, 26914, 277, 478, 26145, 14582, 910, 45828, 1779, 349, 16741, 4843, 8066, 3763, 18, 439, 17437, 11453, 2147, 1335, 23310, 567, 1514, 2968, 1269, 4803, 16, 828, 329, 478, 9284, 285, 13766, 287, 910, 510, 1223, 4843, 3940, 28, 16, 23, 3763, 473, 960, 3716, 7077, 30558, 38204, 814, 20876, 2840, 2756, 7279, 3050, 14715, 39521, 478, 3693, 42455, 4887, 910, 1586, 7601, 455, 4843, 26, 16, 25, 3763, 282, 6152, 25438, 473, 21, 16, 27, 4500, 18, 19842, 483, 13, 13006, 464, 18, 14654, 282, 25097, 3419, 290, 2491, 2545, 48947, 800, 473, 1674, 9988, 15672, 7211, 1162, 21412, 6470, 877, 421, 39482, 17, 730, 6194, 934, 1586, 322, 18950, 1211, 24555, 20532, 289, 9414, 30409, 281, 1807, 18, 1268, 3422, 722, 36187, 11469, 6233, 473, 391, 4013, 266, 4874, 9058, 25408, 1029, 9414, 1852, 3079, 635, 16, 289, 773, 10412, 12369, 16, 2353, 520, 697, 5318, 2530, 643, 4436, 11180, 18, 24491, 1461, 348, 306, 24690, 451, 16, 1830, 39801, 9872, 44709, 281, 20057, 304, 473, 964, 8357, 10225, 1223, 4843, 27, 3763, 934, 453, 374, 9737, 589, 506, 492, 5304, 16, 367, 1215, 17338, 1269, 510, 7006, 520, 18, 478, 3693, 42455, 4887, 470, 519, 13006, 354, 13382, 282, 4335, 11673, 43981, 1751 ]
[ 16, 367, 282, 1175, 505, 20166, 1055, 322, 23566, 18, 459, 3424, 322, 2564, 10212, 1380, 411, 4056, 2845, 19611, 1421, 271, 3327, 37970, 8413, 3159, 478, 33982, 45363, 2617, 1712, 861, 999, 46915, 12776, 12030, 7601, 455, 4843, 24, 16, 26, 3763, 16, 1639, 281, 9408, 304, 11576, 541, 25193, 2223, 18, 49436, 35263, 478, 33982, 45363, 44541, 470, 939, 20641, 22103, 510, 4843, 23, 2692, 16, 28, 3763, 473, 960, 38204, 4843, 15620, 3763, 934, 22140, 11132, 24540, 530, 473, 12979, 9, 33635, 37496, 309, 1075, 1050, 7161, 23729, 26599, 573, 934, 367, 764, 722, 20427, 1293, 16061, 1437, 309, 478, 49287, 470, 289, 2393, 47855, 298, 27730, 16, 961, 726, 5957, 16379, 3696, 2666, 588, 1701, 17, 326, 1262, 18, 439, 309, 1335, 11056, 478, 33982, 45363, 2617, 1712, 470, 7356, 1595, 2615, 2394, 16, 3429, 12916, 47991, 779, 334, 7475, 18734, 44204, 28882, 18, 2, 1, 87, 1456, 81, 2448, 30, 40683, 17, 9400, 2992, 1205, 9410, 18042, 1211, 13375, 281, 12010, 18, 4185, 30849, 2888, 1966, 22910, 627, 16, 2891, 3574, 2625, 1240, 5970, 9771, 2673, 578, 1855, 8889, 2917, 1634, 5642, 16, 24181, 3599, 329, 7321, 289, 29865, 3089, 7407, 3494, 18, 365, 1078, 13526, 43503, 2394, 2625, 7631, 282, 16294, 18, 31224, 30, 2176, 16043, 289, 567, 3481, 2244, 5579, 17, 14723, 7134, 1874, 426, 1453, 309, 4621, 17420, 16, 2394, 19285, 24792, 7557, 1987, 298, 29977, 8889, 18, 22324, 24294, 9174, 5421, 30, 478, 1140, 12247, 4851, 39274, 46636, 5, 640, 9185, 27073, 13526, 17869, 30795, 12106, 19117, 48188, 14829, 334, 36617, 4621, 309, 430, 16, 25, 15052, 18, 49581, 31053, 1855, 309, 2303, 2899, 861, 14654, 16, 428, 4437, 10531, 282, 46168, 10539, 5439, 16, 3419, 290, 1435, 496, 282, 5653, 1045, 5930, 2431, 478, 6115, 35370, 8410, 34774, 16, 8274, 36286, 289, 7431, 309, 2923, 5579, 17, 14723, 861, 6592, 2856, 3479, 552, 16, 39274, 46636, 478, 324, 2923, 7868, 2096, 695, 17, 27085, 416, 5324, 16, 4009, 1385, 16, 3960, 16862, 266, 1901, 26335, 22124, 309, 808, 35842, 33537, 36286, 289, 7431, 473, 35464, 48188, 360, 14829, 289, 16056, 6208, 13, 309, 24258, 17070, 309, 11318, 816, 308, 360, 1129, 861, 832, 23666, 3162, 16684, 10556, 1134, 18, 985, 25749, 8044, 16, 1033, 670, 2619, 30600, 360, 14829, 1472, 5482, 2001, 30, 478, 5801, 17, 299, 12530, 30849, 4138, 309, 31741, 16043, 18, 4406, 14321, 16, 374, 7323, 778, 28601, 840, 35739, 1089, 321, 1742, 16, 6910, 478, 563, 3041, 1496, 392, 470, 510, 309, 9941, 46145, 289, 7626, 13615, 419, 542, 14829, 2820, 322, 840, 18, 15398, 651, 44618, 910, 510, 6463, 10882, 282, 3177, 26750, 14327, 46787, 36710, 8454, 2446, 273, 18, 26605, 26586, 6295, 281, 42740, 1134, 17583, 309, 13703, 16043, 289, 567, 3481, 2244, 2001, 18, 7042, 13495, 8838, 17011, 424, 25454, 18, 7594, 6448, 8171, 334, 44706, 5935, 1876, 16, 396, 10075, 2042, 536, 2496, 430, 16, 25, 443, 22, 17, 9150, 770, 42740, 291, 18, 9418, 281, 867, 46776, 272, 15873, 3412, 14724, 309, 1335, 11056, 726, 10490, 26756, 282, 13324, 9402, 11337, 1512, 18, 365, 11946, 16, 282, 1658, 18, 3161, 4079, 16, 46776, 643, 350, 4961, 309, 3937, 309, 7856, 382, 281, 13472, 16, 961, 10747, 332, 4411, 30, 7856, 382, 45188, 3306, 424, 5894, 411, 17, 431, 322, 2423, 447, 13360, 5520, 18, 25936, 29473, 309, 2468, 18, 365, 1500, 575, 1119, 2364, 2287, 18, 646, 424, 46776, 272, 15873, 4368, 5894, 13317, 8942, 17, 42565, 30376, 45150, 680, 15064, 16, 31642, 2414, 11658, 16048, 23915, 18, 1268, 20474, 28564, 25787, 17, 16981, 7259, 43200, 282, 14154, 18, 2112, 1967, 14214, 2155, 294, 12381, 404, 43503, 8494, 9778, 6070, 13593, 20173, 1624, 5371, 5229, 282, 43534, 478, 780, 3056, 861, 817, 17602, 360, 43503, 7631, 282, 16294, 16, 827, 8889, 322, 840, 37580, 6938, 18, 18619, 309, 3614, 478, 37984, 320, 749, 43503, 470, 12543, 3191, 40409, 349, 16294, 13526, 16, 282, 5487, 575, 7258, 14379, 1510, 2364, 1286, 16, 26, 5600, 12607, 18, 985, 13737, 282, 3781, 17, 12495, 7920, 334, 3762, 14442, 1016, 289, 5935, 1147, 45085, 14683, 16, 477, 25454, 282, 803, 1045, 45376, 2287, 646, 16482, 6246, 26773, 18, 1787, 24507, 30, 281, 12793, 8889, 19775, 291, 282, 3507, 2891, 17239, 3637, 2123, 2634, 1228, 613, 275, 496, 348, 32442, 18, 49933, 3222, 24768, 282, 13324, 1038, 906, 29419, 1873, 282, 2630, 477, 25454, 18, 43503, 11451, 6539, 332, 16, 374, 24768, 5021, 19, 15853, 5915, 478, 8676, 1809, 910, 289, 282, 1634, 11815, 292, 9465, 2995, 27698, 19296, 13928, 14829, 282, 16784, 5706, 45519, 412, 507, 18, 5649, 575, 16154, 678, 24424, 289, 13557, 309, 9155, 281, 7638, 17, 41854, 1175, 27402, 30012, 18, 640, 505, 1247, 478, 1659, 964, 322, 16791, 326, 8889, 5433, 15689, 5438, 16, 374, 3400, 14829, 639, 2733, 6097, 16, 374, 30849, 2888, 7626, 639, 4385, 18, 459, 14291, 16, 374, 16, 4426, 32994, 4269, 24956, 16, 322, 639, 45457, 537, 2361, 22718, 18, 3557, 322, 2619, 334, 8872, 13519, 22564, 678, 5415, 18996, 381, 15369, 7025, 2287, 1135, 18, 9533, 408, 30838, 898, 38557, 2615, 9128, 11050, 7920, 334, 3762, 14442, 1016, 289, 5935, 1147, 45085, 473, 684, 983, 822, 1916, 934, 7996, 43214, 17, 1024, 1356, 346, 3594, 41202, 822, 1916, 16, 6187, 11552, 822, 10852, 478, 1009, 13381, 1880, 910, 44241, 19017, 718, 16, 23187, 16, 11674, 12887, 718, 14297, 289, 2393, 19516, 6740, 9163, 18, 365, 803, 1045, 30622, 290, 32942, 29419, 1873, 4096, 477, 25454, 282, 3580, 360, 6937, 1055, 322, 48273, 18, 4530, 867, 16, 428, 32556, 282, 10882, 17490, 1880, 10958, 1149, 4979, 5763, 69, 18, 1572, 1624, 20664, 14683, 17859, 281, 22573, 34496, 294, 5754, 277, 2001, 281, 14503, 16387, 8889, 289, 2866, 2761, 281, 25670, 1587, 294, 697, 6359, 277, 17070, 289, 17421, 18, 33396, 282, 4459, 7620, 10539, 7321, 639, 43571, 18813, 7920, 334, 3701, 825, 10268, 6665, 979, 12349, 536, 18, 478, 46672, 406, 5134, 7272, 334, 11195, 582, 25670, 1587, 17070, 289, 17421, 16, 1844, 6099, 360, 697, 24179, 16, 367, 1038, 5846, 34775, 2392, 301, 360, 2055, 272, 792, 289, 14829, 18, 9418, 656, 14156, 18622, 19338, 5510, 309, 3338, 16043, 910, 510, 10128, 282, 7978, 750, 18, 2949, 924, 16, 282, 23479, 13462, 16, 374, 478, 267, 19444, 309, 15040, 16043, 39432, 525, 470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 367, 282, 1175, 505, 20166, 1055, 322, 23566, 18, 459, 3424, 322, 2564, 10212, 1380, 411, 4056, 2845, 19611, 1421, 271, 3327, 37970, 8413, 3159, 478, 33982, 45363, 2617, 1712, 861, 999, 46915, 12776, 12030, 7601, 455, 4843, 24, 16, 26, 3763, 16, 1639, 281, 9408, 304, 11576, 541, 25193, 2223, 18, 49436, 35263, 478, 33982, 45363, 44541, 470, 939, 20641, 22103, 510, 4843, 23, 2692, 16, 28, 3763, 473, 960, 38204, 4843, 15620, 3763, 934, 22140, 11132, 24540, 530, 473, 12979, 9, 33635, 37496, 309, 1075, 1050, 7161, 23729, 26599, 573, 934, 367, 764, 722, 20427, 1293, 16061, 1437, 309, 478, 49287, 470, 289, 2393, 47855, 298, 27730, 16, 961, 726, 5957, 16379, 3696, 2666, 588, 1701, 17, 326, 1262, 18, 439, 309, 1335, 11056, 478, 33982, 45363, 2617, 1712, 470, 7356, 1595, 2615, 2394, 16, 3429, 12916, 47991, 779, 334, 7475, 18734, 44204, 28882, 18, 2, 1, 87, 1456, 81, 2448, 30, 40683, 17, 9400, 2992, 1205, 9410, 18042, 1211, 13375, 281, 12010, 18, 4185, 30849, 2888, 1966, 22910, 627, 16, 2891, 3574, 2625, 1240, 5970, 9771, 2673, 578, 1855, 8889, 2917, 1634, 5642, 16, 24181, 3599, 329, 7321, 289, 29865, 3089, 7407, 3494, 18, 365, 1078, 13526, 43503, 2394, 2625, 7631, 282, 16294, 18, 31224, 30, 2176, 16043, 289, 567, 3481, 2244, 5579, 17, 14723, 7134, 1874, 426, 1453, 309, 4621, 17420, 16, 2394, 19285, 24792, 7557, 1987, 298, 29977, 8889, 18, 22324, 24294, 9174, 5421, 30, 478, 1140, 12247, 4851, 39274, 46636, 5, 640, 9185, 27073, 13526, 17869, 30795, 12106, 19117, 48188, 14829, 334, 36617, 4621, 309, 430, 16, 25, 15052, 18, 49581, 31053, 1855, 309, 2303, 2899, 861, 14654, 16, 428, 4437, 10531, 282, 46168, 10539, 5439, 16, 3419, 290, 1435, 496, 282, 5653, 1045, 5930, 2431, 478, 6115, 35370, 8410, 34774, 16, 8274, 36286, 289, 7431, 309, 2923, 5579, 17, 14723, 861, 6592, 2856, 3479, 552, 16, 39274, 46636, 478, 324, 2923, 7868, 2096, 695, 17, 27085, 416, 5324, 16, 4009, 1385, 16, 3960, 16862, 266, 1901, 26335, 22124, 309, 808, 35842, 33537, 36286, 289, 7431, 473, 35464, 48188, 360, 14829, 289, 16056, 6208, 13, 309, 24258, 17070, 309, 11318, 816, 308, 360, 1129, 861, 832, 23666, 3162, 16684, 10556, 1134, 18, 985, 25749, 8044, 16, 1033, 670, 2619, 30600, 360, 14829, 1472, 5482, 2001, 30, 478, 5801, 17, 299, 12530, 30849, 4138, 309, 31741, 16043, 18, 4406, 14321, 16, 374, 7323, 778, 28601, 840, 35739, 1089, 321, 1742, 16, 6910, 478, 563, 3041, 1496, 392, 470, 510, 309, 9941, 46145, 289, 7626, 13615, 419, 542, 14829, 2820, 322, 840, 18, 15398, 651, 44618, 910, 510, 6463, 10882, 282, 3177, 26750, 14327, 46787, 36710, 8454, 2446, 273, 18, 26605, 26586, 6295, 281, 42740, 1134, 17583, 309, 13703, 16043, 289, 567, 3481, 2244, 2001, 18, 7042, 13495, 8838, 17011, 424, 25454, 18, 7594, 6448, 8171, 334, 44706, 5935, 1876, 16, 396, 10075, 2042, 536, 2496, 430, 16, 25, 443, 22, 17, 9150, 770, 42740, 291, 18, 9418, 281, 867, 46776, 272, 15873, 3412, 14724, 309, 1335, 11056, 726, 10490, 26756, 282, 13324, 9402, 11337, 1512, 18, 365, 11946, 16, 282, 1658, 18, 3161, 4079, 16, 46776, 643, 350, 4961, 309, 3937, 309, 7856, 382, 281, 13472, 16, 961, 10747, 332, 4411, 30, 7856, 382, 45188, 3306, 424, 5894, 411, 17, 431, 322, 2423, 447, 13360, 5520, 18, 25936, 29473, 309, 2468, 18, 365, 1500, 575, 1119, 2364, 2287, 18, 646, 424, 46776, 272, 15873, 4368, 5894, 13317, 8942, 17, 42565, 30376, 45150, 680, 15064, 16, 31642, 2414, 11658, 16048, 23915, 18, 1268, 20474, 28564, 25787, 17, 16981, 7259, 43200, 282, 14154, 18, 2112, 1967, 14214, 2155, 294, 12381, 404, 43503, 8494, 9778, 6070, 13593, 20173, 1624, 5371, 5229, 282, 43534, 478, 780, 3056, 861, 817, 17602, 360, 43503, 7631, 282, 16294, 16, 827, 8889, 322, 840, 37580, 6938, 18, 18619, 309, 3614, 478, 37984, 320, 749, 43503, 470, 12543, 3191, 40409, 349, 16294, 13526, 16, 282, 5487, 575, 7258, 14379, 1510, 2364, 1286, 16, 26, 5600, 12607, 18, 985, 13737, 282, 3781, 17, 12495, 7920, 334, 3762, 14442, 1016, 289, 5935, 1147, 45085, 14683, 16, 477, 25454, 282, 803, 1045, 45376, 2287, 646, 16482, 6246, 26773, 18, 1787, 24507, 30, 281, 12793, 8889, 19775, 291, 282, 3507, 2891, 17239, 3637, 2123, 2634, 1228, 613, 275, 496, 348, 32442, 18, 49933, 3222, 24768, 282, 13324, 1038, 906, 29419, 1873, 282, 2630, 477, 25454, 18, 43503, 11451, 6539, 332, 16, 374, 24768, 5021, 19, 15853, 5915, 478, 8676, 1809, 910, 289, 282, 1634, 11815, 292, 9465, 2995, 27698, 19296, 13928, 14829, 282, 16784, 5706, 45519, 412, 507, 18, 5649, 575, 16154, 678, 24424, 289, 13557, 309, 9155, 281, 7638, 17, 41854, 1175, 27402, 30012, 18, 640, 505, 1247, 478, 1659, 964, 322, 16791, 326, 8889, 5433, 15689, 5438, 16, 374, 3400, 14829, 639, 2733, 6097, 16, 374, 30849, 2888, 7626, 639, 4385, 18, 459, 14291, 16, 374, 16, 4426, 32994, 4269, 24956, 16, 322, 639, 45457, 537, 2361, 22718, 18, 3557, 322, 2619, 334, 8872, 13519, 22564, 678, 5415, 18996, 381, 15369, 7025, 2287, 1135, 18, 9533, 408, 30838, 898, 38557, 2615, 9128, 11050, 7920, 334, 3762, 14442, 1016, 289, 5935, 1147, 45085, 473, 684, 983, 822, 1916, 934, 7996, 43214, 17, 1024, 1356, 346, 3594, 41202, 822, 1916, 16, 6187, 11552, 822, 10852, 478, 1009, 13381, 1880, 910, 44241, 19017, 718, 16, 23187, 16, 11674, 12887, 718, 14297, 289, 2393, 19516, 6740, 9163, 18, 365, 803, 1045, 30622, 290, 32942, 29419, 1873, 4096, 477, 25454, 282, 3580, 360, 6937, 1055, 322, 48273, 18, 4530, 867, 16, 428, 32556, 282, 10882, 17490, 1880, 10958, 1149, 4979, 5763, 69, 18, 1572, 1624, 20664, 14683, 17859, 281, 22573, 34496, 294, 5754, 277, 2001, 281, 14503, 16387, 8889, 289, 2866, 2761, 281, 25670, 1587, 294, 697, 6359, 277, 17070, 289, 17421, 18, 33396, 282, 4459, 7620, 10539, 7321, 639, 43571, 18813, 7920, 334, 3701, 825, 10268, 6665, 979, 12349, 536, 18, 478, 46672, 406, 5134, 7272, 334, 11195, 582, 25670, 1587, 17070, 289, 17421, 16, 1844, 6099, 360, 697, 24179, 16, 367, 1038, 5846, 34775, 2392, 301, 360, 2055, 272, 792, 289, 14829, 18, 9418, 656, 14156, 18622, 19338, 5510, 309, 3338, 16043, 910, 510, 10128, 282, 7978, 750, 18, 2949, 924, 16, 282, 23479, 13462, 16, 374, 478, 267, 19444, 309, 15040, 16043, 39432, 525, 470 ]
[ 289, 2891, 764, 32011, 4716, 16, 1085, 14658, 18, 2, 1, 87, 1456, 81, 2448, 30, 42945, 945, 1157, 6233, 48385, 6641, 954, 282, 1949, 15209, 1175, 18, 365, 40878, 680, 1767, 1272, 14733, 673, 303, 14260, 1378, 2458, 21298, 11741, 1015, 382, 281, 28385, 27031, 18, 365, 3198, 745, 16337, 39473, 411, 29557, 6507, 23957, 16, 351, 6954, 3437, 8182, 1512, 18, 439, 282, 39531, 1767, 4322, 11868, 26247, 42261, 18, 31224, 30, 677, 10882, 23549, 1833, 1272, 14719, 309, 6814, 6233, 18, 7200, 26058, 11540, 2364, 4177, 5963, 282, 4033, 45823, 1157, 40932, 512, 1212, 3948, 3568, 45324, 343, 473, 684, 339, 2477, 1162, 6391, 934, 18479, 282, 47158, 18617, 33515, 7920, 18, 824, 3761, 17439, 3594, 8231, 16, 1272, 19361, 33335, 15099, 6660, 6233, 478, 17810, 45823, 1157, 40932, 14337, 470, 16581, 294, 24099, 1825, 1147, 8520, 825, 8062, 888, 18, 3026, 329, 1129, 16910, 709, 13013, 281, 27883, 8182, 1512, 282, 4349, 47648, 37010, 18, 478, 36764, 3409, 933, 639, 9208, 16, 515, 1176, 411, 1129, 5739, 282, 8436, 16, 282, 41938, 20146, 687, 6501, 910, 510, 13737, 478, 46088, 18, 8381, 470, 282, 8231, 334, 40878, 680, 1767, 18, 824, 3761, 8231, 289, 11925, 16, 11707, 1749, 4732, 5245, 965, 47514, 456, 289, 8607, 24226, 334, 8823, 294, 41133, 18, 478, 42945, 945, 742, 6233, 11103, 364, 12441, 539, 34091, 289, 17602, 360, 19690, 301, 1643, 48087, 10108, 18, 2046, 481, 18749, 764, 6335, 8607, 5133, 477, 1963, 15734, 2632, 16, 289, 745, 43495, 751, 309, 1047, 910, 510, 6557, 2625, 13013, 282, 8231, 18, 403, 2856, 18254, 294, 349, 1690, 21861, 34339, 764, 1293, 8182, 1512, 16, 282, 4082, 329, 1639, 898, 19273, 281, 40395, 18, 478, 36764, 3409, 1133, 24661, 22415, 19588, 16, 2686, 24494, 20349, 290, 37555, 16, 367, 2512, 697, 2458, 11949, 874, 910, 510, 16144, 16, 282, 1423, 3678, 16, 282, 11925, 18, 7758, 16, 334, 3761, 11413, 16, 282, 11741, 1015, 582, 20146, 1533, 384, 4234, 1135, 18, 1937, 25935, 1157, 43495, 751, 309, 2236, 19361, 6233, 16, 2992, 17602, 16161, 17161, 489, 448, 3193, 16, 42538, 282, 8231, 18, 365, 11925, 5542, 10531, 16, 374, 329, 2236, 411, 14733, 673, 303, 14260, 1378, 371, 1190, 639, 1543, 4938, 539, 5472, 16, 367, 329, 6740, 510, 17154, 29557, 7376, 9234, 18, 15940, 742, 6233, 25440, 282, 3545, 411, 29557, 3847, 16, 515, 19588, 481, 322, 2396, 857, 18, 3529, 492, 6844, 39473, 309, 13270, 18, 365, 3198, 1421, 8182, 1631, 16, 1176, 411, 1639, 18708, 883, 16, 5684, 17706, 282, 6911, 2095, 3992, 18, 4149, 18474, 478, 1602, 1853, 3961, 470, 289, 18310, 282, 13335, 18, 30564, 1703, 1038, 30373, 39780, 31308, 16, 515, 41749, 17245, 4437, 1507, 4004, 20474, 5842, 28564, 18, 20876, 770, 1888, 6367, 32764, 24913, 282, 2928, 6233, 478, 17810, 45823, 1157, 40932, 14337, 470, 541, 43025, 18, 47090, 16, 374, 1176, 411, 1129, 4419, 685, 11451, 1551, 406, 349, 19311, 5910, 1385, 445, 612, 512, 289, 1355, 356, 289, 2397, 1218, 1041, 30690, 1551, 3030, 18, 2970, 5133, 8182, 1512, 10299, 22056, 17245, 33407, 874, 16, 515, 282, 8231, 16170, 16, 374, 6501, 411, 3437, 17390, 898, 282, 14561, 16776, 18, 27620, 2823, 520, 14733, 673, 303, 14260, 1545, 282, 5722, 680, 5492, 282, 41938, 16, 10480, 18, 11925, 334, 19983, 13229, 12715, 18071, 18, 478, 1140, 5220, 1812, 12233, 320, 622, 8886, 6617, 2291, 14538, 37349, 6233, 16, 367, 1038, 840, 40630, 19024, 24956, 13403, 2339, 18, 824, 12821, 10438, 840, 7239, 22485, 2837, 3003, 910, 510, 16170, 282, 27246, 18, 18154, 13013, 11540, 282, 39531, 1767, 16, 1038, 282, 3765, 309, 10882, 18, 625, 39012, 313, 43214, 17, 19308, 344, 7468, 5119, 415, 12039, 983, 14376, 583, 441, 718, 3594, 8231, 2407, 30539, 3064, 7626, 2001, 18, 365, 39514, 3573, 1212, 3948, 17774, 11614, 5554, 528, 10589, 17, 8914, 2479, 16, 329, 2024, 3475, 2823, 34927, 5635, 5862, 5172, 18, 33261, 25612, 22375, 315, 16, 12955, 1738, 411, 1963, 282, 2580, 18, 48331, 16, 428, 6442, 282, 43771, 18617, 8231, 16, 5501, 925, 16, 374, 10383, 4621, 1003, 1636, 275, 18, 25896, 1700, 15314, 492, 32580, 3064, 18, 25344, 7742, 22056, 4732, 49226, 16, 1293, 445, 10073, 12497, 319, 6213, 478, 15821, 1484, 910, 515, 10383, 16658, 25140, 360, 28375, 18, 365, 7433, 10742, 307, 1426, 4621, 35454, 349, 14536, 2263, 12646, 18, 365, 3198, 19171, 43214, 17, 19308, 344, 7468, 5119, 9996, 3064, 5894, 282, 3948, 7335, 44096, 16093, 4059, 33596, 3700, 39531, 1767, 18, 34652, 2804, 17390, 3238, 16317, 30, 10383, 289, 505, 13347, 898, 4726, 7331, 318, 18, 4320, 1176, 13917, 6792, 15246, 937, 11814, 4621, 16, 1029, 7556, 371, 803, 6691, 7831, 16, 2992, 20554, 12669, 20693, 2795, 3067, 7894, 27948, 38276, 4621, 18, 26828, 4322, 12400, 289, 1874, 31835, 309, 13917, 5946, 281, 42261, 18, 34985, 5053, 282, 6391, 4437, 2203, 18, 824, 37980, 1779, 20554, 282, 37217, 4349, 685, 24214, 1390, 18, 365, 4675, 808, 505, 1354, 12749, 322, 27268, 16, 2271, 4283, 282, 8231, 18, 13630, 25935, 837, 898, 28384, 18, 4802, 3991, 32340, 334, 10856, 3568, 5927, 295, 919, 3573, 2977, 11925, 1175, 334, 39531, 1767, 18966, 11969, 1743, 334, 327, 18, 491, 422, 18, 816, 2692, 11828, 473, 960, 21459, 18802, 16, 38031, 541, 1354, 670, 7574, 16, 282, 4599, 14840, 2891, 814, 2, 1, 87, 1456, 81, 2448, 30, 563, 6451, 564, 49798, 553, 309, 10566, 11350, 17, 24339, 17, 2589, 2665, 44290, 32652, 29511, 8260, 3227, 18238, 10659, 304, 17420, 4075, 334, 722, 6619, 18, 832, 46939, 935, 4676, 18390, 22812, 1443, 1728, 44462, 354, 16, 1551, 282, 11379, 4336, 364, 32652, 3775, 1841, 10573, 1519, 294, 10775, 2818, 32233, 334, 22591, 1631, 18, 6825, 326, 12446, 5129, 895, 4849, 3194, 290, 16115, 12201, 11944, 38487, 10954, 1545, 10566, 18, 31224, 30, 3693, 2684, 564, 12140, 1081, 10348, 9104, 5129, 334, 2954, 1703, 289, 5034, 536, 9942, 16, 4502, 47301, 567, 12241, 49798, 12832, 33645, 44290, 32652, 1624, 2993, 639, 1852, 12651, 282, 2463, 11350, 17, 293, 30557, 2665, 16, 4434, 1734, 282, 20232, 917, 292, 371, 25873, 2303, 4593, 20194, 281, 9609, 282, 5021, 1045, 18, 824, 13976, 309, 7949, 978, 2299, 16, 3671, 263, 8477, 1472, 349, 15862, 4437, 2166, 2930, 7468, 17981, 289, 28201, 2159, 3003, 16, 541, 1660, 30373, 373, 1965, 2500, 1612, 18, 403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2891, 764, 32011, 4716, 16, 1085, 14658, 18, 2, 1, 87, 1456, 81, 2448, 30, 42945, 945, 1157, 6233, 48385, 6641, 954, 282, 1949, 15209, 1175, 18, 365, 40878, 680, 1767, 1272, 14733, 673, 303, 14260, 1378, 2458, 21298, 11741, 1015, 382, 281, 28385, 27031, 18, 365, 3198, 745, 16337, 39473, 411, 29557, 6507, 23957, 16, 351, 6954, 3437, 8182, 1512, 18, 439, 282, 39531, 1767, 4322, 11868, 26247, 42261, 18, 31224, 30, 677, 10882, 23549, 1833, 1272, 14719, 309, 6814, 6233, 18, 7200, 26058, 11540, 2364, 4177, 5963, 282, 4033, 45823, 1157, 40932, 512, 1212, 3948, 3568, 45324, 343, 473, 684, 339, 2477, 1162, 6391, 934, 18479, 282, 47158, 18617, 33515, 7920, 18, 824, 3761, 17439, 3594, 8231, 16, 1272, 19361, 33335, 15099, 6660, 6233, 478, 17810, 45823, 1157, 40932, 14337, 470, 16581, 294, 24099, 1825, 1147, 8520, 825, 8062, 888, 18, 3026, 329, 1129, 16910, 709, 13013, 281, 27883, 8182, 1512, 282, 4349, 47648, 37010, 18, 478, 36764, 3409, 933, 639, 9208, 16, 515, 1176, 411, 1129, 5739, 282, 8436, 16, 282, 41938, 20146, 687, 6501, 910, 510, 13737, 478, 46088, 18, 8381, 470, 282, 8231, 334, 40878, 680, 1767, 18, 824, 3761, 8231, 289, 11925, 16, 11707, 1749, 4732, 5245, 965, 47514, 456, 289, 8607, 24226, 334, 8823, 294, 41133, 18, 478, 42945, 945, 742, 6233, 11103, 364, 12441, 539, 34091, 289, 17602, 360, 19690, 301, 1643, 48087, 10108, 18, 2046, 481, 18749, 764, 6335, 8607, 5133, 477, 1963, 15734, 2632, 16, 289, 745, 43495, 751, 309, 1047, 910, 510, 6557, 2625, 13013, 282, 8231, 18, 403, 2856, 18254, 294, 349, 1690, 21861, 34339, 764, 1293, 8182, 1512, 16, 282, 4082, 329, 1639, 898, 19273, 281, 40395, 18, 478, 36764, 3409, 1133, 24661, 22415, 19588, 16, 2686, 24494, 20349, 290, 37555, 16, 367, 2512, 697, 2458, 11949, 874, 910, 510, 16144, 16, 282, 1423, 3678, 16, 282, 11925, 18, 7758, 16, 334, 3761, 11413, 16, 282, 11741, 1015, 582, 20146, 1533, 384, 4234, 1135, 18, 1937, 25935, 1157, 43495, 751, 309, 2236, 19361, 6233, 16, 2992, 17602, 16161, 17161, 489, 448, 3193, 16, 42538, 282, 8231, 18, 365, 11925, 5542, 10531, 16, 374, 329, 2236, 411, 14733, 673, 303, 14260, 1378, 371, 1190, 639, 1543, 4938, 539, 5472, 16, 367, 329, 6740, 510, 17154, 29557, 7376, 9234, 18, 15940, 742, 6233, 25440, 282, 3545, 411, 29557, 3847, 16, 515, 19588, 481, 322, 2396, 857, 18, 3529, 492, 6844, 39473, 309, 13270, 18, 365, 3198, 1421, 8182, 1631, 16, 1176, 411, 1639, 18708, 883, 16, 5684, 17706, 282, 6911, 2095, 3992, 18, 4149, 18474, 478, 1602, 1853, 3961, 470, 289, 18310, 282, 13335, 18, 30564, 1703, 1038, 30373, 39780, 31308, 16, 515, 41749, 17245, 4437, 1507, 4004, 20474, 5842, 28564, 18, 20876, 770, 1888, 6367, 32764, 24913, 282, 2928, 6233, 478, 17810, 45823, 1157, 40932, 14337, 470, 541, 43025, 18, 47090, 16, 374, 1176, 411, 1129, 4419, 685, 11451, 1551, 406, 349, 19311, 5910, 1385, 445, 612, 512, 289, 1355, 356, 289, 2397, 1218, 1041, 30690, 1551, 3030, 18, 2970, 5133, 8182, 1512, 10299, 22056, 17245, 33407, 874, 16, 515, 282, 8231, 16170, 16, 374, 6501, 411, 3437, 17390, 898, 282, 14561, 16776, 18, 27620, 2823, 520, 14733, 673, 303, 14260, 1545, 282, 5722, 680, 5492, 282, 41938, 16, 10480, 18, 11925, 334, 19983, 13229, 12715, 18071, 18, 478, 1140, 5220, 1812, 12233, 320, 622, 8886, 6617, 2291, 14538, 37349, 6233, 16, 367, 1038, 840, 40630, 19024, 24956, 13403, 2339, 18, 824, 12821, 10438, 840, 7239, 22485, 2837, 3003, 910, 510, 16170, 282, 27246, 18, 18154, 13013, 11540, 282, 39531, 1767, 16, 1038, 282, 3765, 309, 10882, 18, 625, 39012, 313, 43214, 17, 19308, 344, 7468, 5119, 415, 12039, 983, 14376, 583, 441, 718, 3594, 8231, 2407, 30539, 3064, 7626, 2001, 18, 365, 39514, 3573, 1212, 3948, 17774, 11614, 5554, 528, 10589, 17, 8914, 2479, 16, 329, 2024, 3475, 2823, 34927, 5635, 5862, 5172, 18, 33261, 25612, 22375, 315, 16, 12955, 1738, 411, 1963, 282, 2580, 18, 48331, 16, 428, 6442, 282, 43771, 18617, 8231, 16, 5501, 925, 16, 374, 10383, 4621, 1003, 1636, 275, 18, 25896, 1700, 15314, 492, 32580, 3064, 18, 25344, 7742, 22056, 4732, 49226, 16, 1293, 445, 10073, 12497, 319, 6213, 478, 15821, 1484, 910, 515, 10383, 16658, 25140, 360, 28375, 18, 365, 7433, 10742, 307, 1426, 4621, 35454, 349, 14536, 2263, 12646, 18, 365, 3198, 19171, 43214, 17, 19308, 344, 7468, 5119, 9996, 3064, 5894, 282, 3948, 7335, 44096, 16093, 4059, 33596, 3700, 39531, 1767, 18, 34652, 2804, 17390, 3238, 16317, 30, 10383, 289, 505, 13347, 898, 4726, 7331, 318, 18, 4320, 1176, 13917, 6792, 15246, 937, 11814, 4621, 16, 1029, 7556, 371, 803, 6691, 7831, 16, 2992, 20554, 12669, 20693, 2795, 3067, 7894, 27948, 38276, 4621, 18, 26828, 4322, 12400, 289, 1874, 31835, 309, 13917, 5946, 281, 42261, 18, 34985, 5053, 282, 6391, 4437, 2203, 18, 824, 37980, 1779, 20554, 282, 37217, 4349, 685, 24214, 1390, 18, 365, 4675, 808, 505, 1354, 12749, 322, 27268, 16, 2271, 4283, 282, 8231, 18, 13630, 25935, 837, 898, 28384, 18, 4802, 3991, 32340, 334, 10856, 3568, 5927, 295, 919, 3573, 2977, 11925, 1175, 334, 39531, 1767, 18966, 11969, 1743, 334, 327, 18, 491, 422, 18, 816, 2692, 11828, 473, 960, 21459, 18802, 16, 38031, 541, 1354, 670, 7574, 16, 282, 4599, 14840, 2891, 814, 2, 1, 87, 1456, 81, 2448, 30, 563, 6451, 564, 49798, 553, 309, 10566, 11350, 17, 24339, 17, 2589, 2665, 44290, 32652, 29511, 8260, 3227, 18238, 10659, 304, 17420, 4075, 334, 722, 6619, 18, 832, 46939, 935, 4676, 18390, 22812, 1443, 1728, 44462, 354, 16, 1551, 282, 11379, 4336, 364, 32652, 3775, 1841, 10573, 1519, 294, 10775, 2818, 32233, 334, 22591, 1631, 18, 6825, 326, 12446, 5129, 895, 4849, 3194, 290, 16115, 12201, 11944, 38487, 10954, 1545, 10566, 18, 31224, 30, 3693, 2684, 564, 12140, 1081, 10348, 9104, 5129, 334, 2954, 1703, 289, 5034, 536, 9942, 16, 4502, 47301, 567, 12241, 49798, 12832, 33645, 44290, 32652, 1624, 2993, 639, 1852, 12651, 282, 2463, 11350, 17, 293, 30557, 2665, 16, 4434, 1734, 282, 20232, 917, 292, 371, 25873, 2303, 4593, 20194, 281, 9609, 282, 5021, 1045, 18, 824, 13976, 309, 7949, 978, 2299, 16, 3671, 263, 8477, 1472, 349, 15862, 4437, 2166, 2930, 7468, 17981, 289, 28201, 2159, 3003, 16, 541, 1660, 30373, 373, 1965, 2500, 1612, 18, 403 ]
[ 2222, 575, 3003, 5129, 25399, 529, 412, 19155, 536, 30, 12156, 309, 502, 16, 374, 49798, 9383, 584, 22821, 26136, 32652, 30685, 416, 16, 322, 639, 537, 329, 2616, 18, 999, 2684, 564, 5129, 5683, 749, 8465, 10901, 1734, 18, 32652, 16, 48588, 1752, 309, 15361, 14891, 16, 18889, 360, 1542, 589, 2682, 282, 7727, 411, 15064, 282, 37362, 16, 988, 678, 7312, 10640, 18, 34747, 10095, 1951, 2203, 8165, 21312, 4110, 722, 32246, 18, 640, 4625, 329, 6359, 5129, 42903, 7431, 1949, 2634, 5183, 1663, 712, 281, 19908, 2389, 478, 4298, 426, 510, 13602, 861, 10476, 2976, 2232, 23822, 47401, 289, 282, 6900, 40240, 16, 2319, 9721, 1033, 1949, 13289, 8448, 4568, 18642, 11630, 18, 4874, 41849, 950, 20142, 5258, 538, 567, 808, 6612, 883, 16, 502, 289, 1743, 34291, 1063, 10970, 483, 19698, 4887, 478, 3491, 292, 465, 470, 6166, 275, 616, 1919, 11523, 35402, 16044, 20451, 2230, 15561, 6274, 10313, 24677, 8448, 16427, 16, 10339, 6946, 309, 697, 30272, 8127, 7899, 478, 29090, 623, 25699, 6579, 4271, 289, 478, 272, 12247, 1287, 575, 702, 2803, 22558, 365, 294, 2063, 17, 299, 2083, 329, 20256, 322, 11860, 414, 19663, 18, 478, 4441, 1337, 322, 13341, 5, 40146, 8165, 2397, 2990, 3111, 475, 16, 374, 492, 10500, 18, 889, 2694, 5975, 28242, 16, 417, 39030, 40700, 411, 10181, 910, 510, 2961, 8610, 1609, 20451, 2230, 15561, 18, 8281, 540, 541, 13095, 1901, 10120, 2693, 5837, 322, 3711, 18, 31321, 10180, 2116, 30936, 450, 3323, 627, 33467, 16, 6557, 2728, 7482, 31950, 20194, 16, 22321, 4923, 451, 13701, 282, 6900, 30, 678, 9321, 16, 374, 1011, 31950, 40429, 478, 4298, 1921, 32652, 7150, 19889, 9001, 9620, 1974, 6863, 294, 25796, 861, 439, 785, 1176, 411, 11630, 7007, 289, 8233, 17602, 360, 24979, 478, 1386, 2374, 1954, 360, 11065, 28228, 910, 16044, 10218, 23511, 309, 8978, 1879, 541, 309, 13172, 7431, 282, 6900, 18, 2112, 21842, 14668, 28706, 749, 11350, 8135, 1015, 16, 289, 3903, 16, 374, 4126, 1215, 17, 10148, 40716, 519, 5751, 2160, 18890, 18, 2046, 1011, 924, 16, 428, 450, 3323, 627, 33467, 3227, 8531, 18804, 16, 16044, 6054, 541, 34962, 10218, 16, 374, 1800, 10566, 28809, 322, 840, 18, 478, 24569, 5280, 4973, 282, 13275, 11343, 5052, 18, 415, 45289, 22812, 1443, 4075, 387, 6991, 33125, 7372, 282, 36508, 4666, 910, 510, 2815, 492, 18, 45657, 20256, 2230, 15561, 18749, 49362, 282, 25982, 17344, 18, 478, 4441, 44724, 315, 18, 18364, 1551, 16, 5870, 784, 3665, 16, 282, 1360, 11204, 537, 7633, 322, 5280, 3382, 282, 13275, 11343, 5052, 16, 322, 8693, 275, 21492, 289, 808, 22812, 1443, 24807, 4075, 18, 889, 16672, 290, 970, 16, 374, 5494, 9733, 34357, 1519, 289, 281, 581, 2840, 16, 289, 281, 24150, 8389, 6325, 910, 510, 2815, 29710, 11309, 289, 15320, 32652, 4210, 365, 1145, 5269, 18, 37188, 13744, 16, 374, 1965, 5548, 282, 4413, 3275, 635, 5034, 547, 7433, 2856, 575, 32233, 30373, 1223, 1939, 1879, 541, 10954, 427, 4075, 16, 5938, 5076, 281, 11350, 17, 40000, 2665, 37026, 26590, 918, 898, 44709, 14267, 282, 36849, 294, 3496, 1016, 27271, 28893, 11537, 486, 20716, 18, 20012, 1500, 4314, 24515, 12201, 13509, 360, 37299, 2891, 16, 25568, 424, 412, 3466, 2352, 28642, 281, 22812, 9594, 44462, 354, 334, 6619, 32652, 322, 9466, 9012, 329, 35581, 16, 2686, 28964, 978, 12378, 322, 519, 3915, 7533, 318, 18, 24685, 274, 607, 2235, 8165, 895, 36972, 1871, 4380, 18, 6373, 411, 1129, 510, 17355, 34516, 309, 4674, 1616, 11675, 2389, 32652, 11666, 282, 10775, 1212, 12564, 334, 22591, 1631, 473, 992, 10852, 1659, 814, 824, 3163, 365, 1145, 5269, 16, 44462, 266, 12140, 1081, 6246, 267, 795, 685, 6040, 11350, 17, 24339, 272, 1472, 541, 924, 16, 753, 10353, 29581, 1086, 10566, 282, 6319, 46253, 1212, 12564, 18, 985, 3665, 16, 7597, 672, 1659, 322, 11660, 23500, 519, 1110, 1326, 16, 1055, 9293, 321, 322, 8192, 475, 12159, 20594, 282, 9526, 29924, 6829, 18, 403, 15695, 16, 12140, 1510, 6246, 24413, 35638, 13079, 49798, 1066, 764, 282, 3998, 7294, 16, 515, 2512, 29362, 43740, 10955, 14668, 18, 35157, 32652, 11792, 30, 2733, 2175, 5494, 11638, 32042, 6287, 8165, 282, 6319, 267, 16368, 18, 4039, 4160, 1122, 575, 12731, 6025, 6612, 542, 334, 2107, 3988, 4931, 32652, 510, 290, 8597, 617, 722, 24164, 282, 11872, 4440, 779, 18, 43744, 2328, 1101, 381, 47043, 289, 381, 30066, 9702, 31862, 942, 639, 373, 32550, 282, 2361, 8357, 18, 5043, 16, 935, 282, 803, 1750, 1551, 282, 6319, 267, 16368, 8026, 22085, 322, 2185, 14240, 373, 28114, 44462, 266, 290, 8597, 547, 10901, 763, 32652, 519, 3915, 16952, 18, 996, 642, 12755, 7597, 672, 1659, 30, 1551, 322, 895, 13880, 1743, 334, 18123, 519, 1110, 1326, 16, 1055, 322, 12845, 28174, 14914, 2166, 2665, 16, 367, 7727, 2397, 2990, 33878, 1293, 4776, 281, 1078, 1134, 309, 30403, 411, 6319, 267, 16968, 18, 365, 2630, 281, 2184, 935, 16146, 448, 1101, 6612, 802, 282, 6319, 267, 16368, 428, 8396, 282, 3178, 779, 18, 4530, 867, 912, 289, 8148, 1158, 549, 5869, 5831, 1608, 6059, 18, 985, 3665, 16, 19793, 289, 2145, 26540, 309, 13012, 4307, 2844, 11440, 16, 35628, 16685, 287, 31862, 44290, 32652, 18, 403, 7555, 16, 1800, 5413, 20276, 451, 17265, 11309, 2698, 441, 41849, 9060, 3852, 49446, 2815, 16, 374, 282, 28986, 4190, 12760, 1133, 11031, 309, 4862, 16, 3029, 7050, 309, 24845, 16, 1747, 37048, 35029, 18498, 16, 289, 24500, 16, 374, 5957, 47453, 478, 1599, 23814, 1078, 7597, 289, 2698, 441, 41849, 470, 309, 20966, 282, 11379, 18, 1681, 20129, 29978, 33436, 7727, 34490, 895, 45987, 309, 13095, 1924, 12182, 282, 2463, 32652, 18, 40224, 38589, 11350, 17, 293, 30557, 334, 17, 6093, 1623, 6993, 47200, 16, 2686, 49798, 9383, 584, 22821, 895, 26581, 10566, 282, 2630, 281, 22485, 5925, 45047, 289, 20676, 1743, 309, 9357, 539, 6612, 564, 282, 34086, 1551, 18, 365, 803, 1750, 12745, 840, 2113, 266, 1247, 18557, 10901, 1734, 32652, 18, 640, 5734, 2083, 282, 4599, 11350, 17, 293, 30557, 7301, 1007, 764, 1293, 36156, 1552, 16, 515, 537, 334, 6661, 411, 1129, 322, 16995, 2710, 17, 3697, 7272, 32174, 18, 2876, 7514, 451, 16685, 269, 31862, 334, 478, 486, 1999, 825, 6619, 470, 1943, 953, 4153, 2365, 281, 14620, 5129, 381, 47043, 44290, 32652, 282, 6449, 4413, 7433, 281, 722, 12070, 18, 35157, 32652, 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 ]
[ 2222, 575, 3003, 5129, 25399, 529, 412, 19155, 536, 30, 12156, 309, 502, 16, 374, 49798, 9383, 584, 22821, 26136, 32652, 30685, 416, 16, 322, 639, 537, 329, 2616, 18, 999, 2684, 564, 5129, 5683, 749, 8465, 10901, 1734, 18, 32652, 16, 48588, 1752, 309, 15361, 14891, 16, 18889, 360, 1542, 589, 2682, 282, 7727, 411, 15064, 282, 37362, 16, 988, 678, 7312, 10640, 18, 34747, 10095, 1951, 2203, 8165, 21312, 4110, 722, 32246, 18, 640, 4625, 329, 6359, 5129, 42903, 7431, 1949, 2634, 5183, 1663, 712, 281, 19908, 2389, 478, 4298, 426, 510, 13602, 861, 10476, 2976, 2232, 23822, 47401, 289, 282, 6900, 40240, 16, 2319, 9721, 1033, 1949, 13289, 8448, 4568, 18642, 11630, 18, 4874, 41849, 950, 20142, 5258, 538, 567, 808, 6612, 883, 16, 502, 289, 1743, 34291, 1063, 10970, 483, 19698, 4887, 478, 3491, 292, 465, 470, 6166, 275, 616, 1919, 11523, 35402, 16044, 20451, 2230, 15561, 6274, 10313, 24677, 8448, 16427, 16, 10339, 6946, 309, 697, 30272, 8127, 7899, 478, 29090, 623, 25699, 6579, 4271, 289, 478, 272, 12247, 1287, 575, 702, 2803, 22558, 365, 294, 2063, 17, 299, 2083, 329, 20256, 322, 11860, 414, 19663, 18, 478, 4441, 1337, 322, 13341, 5, 40146, 8165, 2397, 2990, 3111, 475, 16, 374, 492, 10500, 18, 889, 2694, 5975, 28242, 16, 417, 39030, 40700, 411, 10181, 910, 510, 2961, 8610, 1609, 20451, 2230, 15561, 18, 8281, 540, 541, 13095, 1901, 10120, 2693, 5837, 322, 3711, 18, 31321, 10180, 2116, 30936, 450, 3323, 627, 33467, 16, 6557, 2728, 7482, 31950, 20194, 16, 22321, 4923, 451, 13701, 282, 6900, 30, 678, 9321, 16, 374, 1011, 31950, 40429, 478, 4298, 1921, 32652, 7150, 19889, 9001, 9620, 1974, 6863, 294, 25796, 861, 439, 785, 1176, 411, 11630, 7007, 289, 8233, 17602, 360, 24979, 478, 1386, 2374, 1954, 360, 11065, 28228, 910, 16044, 10218, 23511, 309, 8978, 1879, 541, 309, 13172, 7431, 282, 6900, 18, 2112, 21842, 14668, 28706, 749, 11350, 8135, 1015, 16, 289, 3903, 16, 374, 4126, 1215, 17, 10148, 40716, 519, 5751, 2160, 18890, 18, 2046, 1011, 924, 16, 428, 450, 3323, 627, 33467, 3227, 8531, 18804, 16, 16044, 6054, 541, 34962, 10218, 16, 374, 1800, 10566, 28809, 322, 840, 18, 478, 24569, 5280, 4973, 282, 13275, 11343, 5052, 18, 415, 45289, 22812, 1443, 4075, 387, 6991, 33125, 7372, 282, 36508, 4666, 910, 510, 2815, 492, 18, 45657, 20256, 2230, 15561, 18749, 49362, 282, 25982, 17344, 18, 478, 4441, 44724, 315, 18, 18364, 1551, 16, 5870, 784, 3665, 16, 282, 1360, 11204, 537, 7633, 322, 5280, 3382, 282, 13275, 11343, 5052, 16, 322, 8693, 275, 21492, 289, 808, 22812, 1443, 24807, 4075, 18, 889, 16672, 290, 970, 16, 374, 5494, 9733, 34357, 1519, 289, 281, 581, 2840, 16, 289, 281, 24150, 8389, 6325, 910, 510, 2815, 29710, 11309, 289, 15320, 32652, 4210, 365, 1145, 5269, 18, 37188, 13744, 16, 374, 1965, 5548, 282, 4413, 3275, 635, 5034, 547, 7433, 2856, 575, 32233, 30373, 1223, 1939, 1879, 541, 10954, 427, 4075, 16, 5938, 5076, 281, 11350, 17, 40000, 2665, 37026, 26590, 918, 898, 44709, 14267, 282, 36849, 294, 3496, 1016, 27271, 28893, 11537, 486, 20716, 18, 20012, 1500, 4314, 24515, 12201, 13509, 360, 37299, 2891, 16, 25568, 424, 412, 3466, 2352, 28642, 281, 22812, 9594, 44462, 354, 334, 6619, 32652, 322, 9466, 9012, 329, 35581, 16, 2686, 28964, 978, 12378, 322, 519, 3915, 7533, 318, 18, 24685, 274, 607, 2235, 8165, 895, 36972, 1871, 4380, 18, 6373, 411, 1129, 510, 17355, 34516, 309, 4674, 1616, 11675, 2389, 32652, 11666, 282, 10775, 1212, 12564, 334, 22591, 1631, 473, 992, 10852, 1659, 814, 824, 3163, 365, 1145, 5269, 16, 44462, 266, 12140, 1081, 6246, 267, 795, 685, 6040, 11350, 17, 24339, 272, 1472, 541, 924, 16, 753, 10353, 29581, 1086, 10566, 282, 6319, 46253, 1212, 12564, 18, 985, 3665, 16, 7597, 672, 1659, 322, 11660, 23500, 519, 1110, 1326, 16, 1055, 9293, 321, 322, 8192, 475, 12159, 20594, 282, 9526, 29924, 6829, 18, 403, 15695, 16, 12140, 1510, 6246, 24413, 35638, 13079, 49798, 1066, 764, 282, 3998, 7294, 16, 515, 2512, 29362, 43740, 10955, 14668, 18, 35157, 32652, 11792, 30, 2733, 2175, 5494, 11638, 32042, 6287, 8165, 282, 6319, 267, 16368, 18, 4039, 4160, 1122, 575, 12731, 6025, 6612, 542, 334, 2107, 3988, 4931, 32652, 510, 290, 8597, 617, 722, 24164, 282, 11872, 4440, 779, 18, 43744, 2328, 1101, 381, 47043, 289, 381, 30066, 9702, 31862, 942, 639, 373, 32550, 282, 2361, 8357, 18, 5043, 16, 935, 282, 803, 1750, 1551, 282, 6319, 267, 16368, 8026, 22085, 322, 2185, 14240, 373, 28114, 44462, 266, 290, 8597, 547, 10901, 763, 32652, 519, 3915, 16952, 18, 996, 642, 12755, 7597, 672, 1659, 30, 1551, 322, 895, 13880, 1743, 334, 18123, 519, 1110, 1326, 16, 1055, 322, 12845, 28174, 14914, 2166, 2665, 16, 367, 7727, 2397, 2990, 33878, 1293, 4776, 281, 1078, 1134, 309, 30403, 411, 6319, 267, 16968, 18, 365, 2630, 281, 2184, 935, 16146, 448, 1101, 6612, 802, 282, 6319, 267, 16368, 428, 8396, 282, 3178, 779, 18, 4530, 867, 912, 289, 8148, 1158, 549, 5869, 5831, 1608, 6059, 18, 985, 3665, 16, 19793, 289, 2145, 26540, 309, 13012, 4307, 2844, 11440, 16, 35628, 16685, 287, 31862, 44290, 32652, 18, 403, 7555, 16, 1800, 5413, 20276, 451, 17265, 11309, 2698, 441, 41849, 9060, 3852, 49446, 2815, 16, 374, 282, 28986, 4190, 12760, 1133, 11031, 309, 4862, 16, 3029, 7050, 309, 24845, 16, 1747, 37048, 35029, 18498, 16, 289, 24500, 16, 374, 5957, 47453, 478, 1599, 23814, 1078, 7597, 289, 2698, 441, 41849, 470, 309, 20966, 282, 11379, 18, 1681, 20129, 29978, 33436, 7727, 34490, 895, 45987, 309, 13095, 1924, 12182, 282, 2463, 32652, 18, 40224, 38589, 11350, 17, 293, 30557, 334, 17, 6093, 1623, 6993, 47200, 16, 2686, 49798, 9383, 584, 22821, 895, 26581, 10566, 282, 2630, 281, 22485, 5925, 45047, 289, 20676, 1743, 309, 9357, 539, 6612, 564, 282, 34086, 1551, 18, 365, 803, 1750, 12745, 840, 2113, 266, 1247, 18557, 10901, 1734, 32652, 18, 640, 5734, 2083, 282, 4599, 11350, 17, 293, 30557, 7301, 1007, 764, 1293, 36156, 1552, 16, 515, 537, 334, 6661, 411, 1129, 322, 16995, 2710, 17, 3697, 7272, 32174, 18, 2876, 7514, 451, 16685, 269, 31862, 334, 478, 486, 1999, 825, 6619, 470, 1943, 953, 4153, 2365, 281, 14620, 5129, 381, 47043, 44290, 32652, 282, 6449, 4413, 7433, 281, 722, 12070, 18, 35157, 32652, 16 ]
[ 5175, 16, 20427, 1717, 2900, 3281, 6059, 18, 1591, 2992, 11053, 2299, 567, 12241, 4210, 365, 1145, 5269, 10218, 16, 374, 478, 293, 3323, 268, 3190, 2712, 22812, 1979, 44462, 354, 334, 49798, 553, 282, 2849, 281, 1533, 334, 2511, 3597, 910, 32949, 16, 374, 1542, 17978, 15155, 281, 12731, 13059, 4755, 13589, 1101, 381, 19194, 763, 32652, 360, 32371, 17411, 282, 8497, 17, 292, 6206, 18, 999, 2684, 564, 334, 478, 1501, 8301, 825, 6619, 470, 2993, 34065, 282, 37362, 2287, 3597, 18, 19518, 32652, 282, 12354, 4440, 779, 906, 10566, 798, 294, 10096, 17912, 15978, 349, 6245, 1979, 2891, 371, 9565, 750, 281, 9609, 47089, 40429, 282, 10841, 5021, 779, 18, 16424, 33035, 5494, 11451, 42883, 870, 37390, 478, 343, 296, 5925, 470, 289, 478, 404, 1567, 10045, 758, 470, 541, 2665, 18, 4530, 867, 45440, 25961, 5273, 5734, 10566, 47684, 24853, 13059, 289, 6604, 1211, 3285, 1880, 9770, 282, 20701, 26606, 8972, 354, 282, 28138, 41325, 10144, 4018, 779, 18, 1268, 4111, 4075, 3873, 1477, 718, 25456, 5129, 334, 2856, 6619, 3459, 4140, 373, 16, 374, 11350, 17, 24339, 8874, 309, 10866, 349, 1272, 5196, 519, 10144, 18, 459, 16, 1830, 678, 475, 3066, 322, 17508, 455, 6558, 1519, 282, 36153, 1423, 37917, 16, 22627, 3455, 32652, 282, 38810, 4669, 14016, 2117, 435, 4726, 322, 309, 2507, 2891, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 804, 344, 820, 36126, 6437, 287, 15360, 2756, 27232, 5793, 36252, 25678, 309, 1760, 4017, 309, 5572, 10649, 14378, 2422, 282, 13328, 1212, 42933, 37200, 476, 18, 6735, 1712, 411, 11854, 368, 16, 15726, 17958, 7408, 16, 2076, 6038, 43829, 1678, 7483, 18, 31224, 30, 677, 782, 349, 29955, 4698, 5841, 454, 282, 36976, 2422, 10258, 33083, 4495, 10226, 18, 1303, 2904, 282, 42933, 37200, 476, 639, 371, 27168, 294, 7342, 1175, 16, 2588, 21253, 42580, 1709, 297, 378, 408, 3327, 18, 365, 13993, 622, 17506, 18380, 41191, 3259, 13328, 680, 4966, 329, 5781, 33083, 4495, 2541, 322, 639, 1033, 417, 1536, 34651, 18, 430, 18, 36126, 6437, 287, 15360, 473, 983, 6316, 2750, 13, 376, 15680, 30, 3114, 16, 26, 473, 22, 13, 491, 18, 7956, 17, 43589, 391, 696, 29499, 473, 1464, 546, 783, 13, 4668, 430, 30, 8771, 16, 25, 473, 21, 13, 816, 18, 9020, 2077, 798, 39255, 1458, 473, 44495, 13, 4668, 430, 30, 10176, 16, 27, 473, 23, 13, 1032, 18, 13224, 507, 421, 16470, 274, 521, 295, 2847, 473, 1182, 375, 4472, 4879, 13, 4668, 430, 30, 11672, 16, 20, 473, 24, 13, 1061, 18, 24818, 378, 22187, 14479, 473, 23441, 13, 4668, 491, 30, 8365, 16, 24, 473, 21, 13, 1286, 18, 32944, 820, 48544, 476, 6896, 280, 473, 44495, 13, 4668, 491, 30, 1618, 16, 23, 473, 21, 13, 1409, 18, 31865, 798, 5223, 292, 380, 277, 473, 1464, 546, 783, 13, 4668, 491, 30, 6462, 16, 25, 473, 23, 13, 1488, 18, 25486, 25280, 324, 473, 35362, 333, 746, 13, 4668, 491, 30, 9869, 16, 21, 473, 24, 13, 1658, 18, 18182, 4926, 320, 5269, 473, 23441, 13, 4668, 491, 30, 12086, 16, 26, 473, 23, 13, 1533, 18, 15726, 17958, 7408, 473, 11825, 13, 4668, 491, 30, 11629, 16, 23, 473, 23, 13, 11420, 3940, 18, 9409, 16928, 15043, 473, 11825, 13, 4668, 816, 30, 9348, 16, 23, 473, 25, 13, 11420, 5493, 18, 9409, 21867, 809, 884, 473, 11825, 13, 4668, 1032, 30, 11498, 16, 27, 473, 25, 13, 11420, 5041, 18, 7956, 4218, 11831, 17, 789, 7219, 1577, 473, 11825, 13, 4668, 1409, 30, 8492, 16, 25, 473, 25, 13, 11420, 12695, 18, 16974, 385, 6788, 14954, 473, 11825, 13, 4668, 1488, 30, 11672, 16, 24, 473, 28, 13, 11420, 14746, 18, 26785, 9810, 401, 473, 11825, 13, 4668, 1658, 30, 6568, 16, 28, 473, 26, 13, 30284, 9770, 385, 14796, 1978, 857, 3722, 344, 378, 408, 3327, 272, 2644, 16, 360, 1639, 4385, 639, 10419, 16, 289, 492, 44370, 40086, 33083, 2221, 416, 478, 49938, 18259, 392, 269, 910, 281, 1754, 396, 20211, 1715, 1272, 1533, 17, 23745, 18, 365, 6190, 43535, 1919, 3655, 10344, 9680, 20945, 7342, 1175, 6455, 13231, 1527, 18477, 16, 290, 1639, 2874, 33083, 4495, 10226, 2458, 17309, 18, 2763, 269, 378, 408, 3327, 322, 38678, 16, 374, 1623, 26267, 3347, 11553, 12765, 5308, 16, 289, 27689, 6450, 1519, 334, 568, 3452, 2675, 1761, 363, 287, 967, 937, 401, 18, 2263, 17, 299, 492, 334, 25516, 9680, 3069, 1369, 22122, 1508, 18, 16102, 3337, 761, 14128, 478, 42965, 378, 408, 8367, 470, 2125, 898, 1852, 2411, 548, 282, 42933, 37200, 476, 18, 6883, 1162, 478, 22878, 324, 2356, 910, 334, 25036, 7987, 16, 1373, 935, 31960, 16732, 25522, 18, 478, 7148, 691, 45261, 289, 3036, 1465, 1373, 2388, 16, 374, 1513, 953, 1494, 23673, 1649, 6832, 16, 376, 7332, 1694, 30175, 17958, 28146, 478, 40096, 6085, 861, 651, 4777, 7339, 33849, 294, 3215, 12584, 1147, 3149, 272, 294, 1257, 2325, 825, 19620, 1744, 861, 824, 4734, 13856, 29077, 33083, 4495, 10226, 16, 281, 8864, 12260, 43508, 282, 33083, 23451, 4362, 1653, 3230, 18, 3397, 309, 21311, 5066, 23054, 2555, 17, 5041, 1135, 18, 17958, 7408, 10956, 309, 36347, 9268, 411, 5781, 33083, 4495, 2541, 18, 608, 1710, 685, 23902, 17, 295, 18653, 1742, 5172, 411, 31932, 17, 292, 1951, 2543, 18, 365, 4056, 8933, 19911, 414, 9409, 21867, 809, 884, 289, 16974, 385, 6788, 14954, 424, 1573, 11835, 289, 1281, 17, 277, 47859, 8774, 18, 6083, 349, 4413, 12357, 309, 36347, 29760, 16928, 15043, 289, 26785, 9810, 401, 424, 11114, 17, 277, 289, 12060, 17, 277, 47859, 16, 367, 7956, 4218, 11831, 17, 789, 7219, 1577, 19911, 455, 15882, 17, 295, 18, 11537, 343, 329, 11854, 368, 16, 374, 7291, 16, 322, 28784, 18, 26963, 16, 1639, 34399, 294, 4002, 4681, 11304, 3595, 8876, 16, 19341, 2319, 1882, 18, 32082, 6355, 2874, 18454, 353, 873, 411, 4170, 6994, 4702, 18, 608, 385, 6788, 31739, 651, 7109, 25083, 291, 16, 329, 9810, 1161, 651, 5270, 16, 329, 3437, 39512, 2543, 651, 334, 2852, 18, 981, 289, 478, 268, 16948, 470, 11854, 382, 18042, 1166, 7739, 26935, 47418, 18, 12092, 17958, 28146, 3225, 23683, 309, 3177, 5066, 16, 2076, 14711, 1533, 17, 454, 1678, 7483, 281, 14638, 2405, 264, 14209, 16, 1272, 411, 1639, 898, 21440, 1007, 309, 16876, 42086, 18, 439 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5175, 16, 20427, 1717, 2900, 3281, 6059, 18, 1591, 2992, 11053, 2299, 567, 12241, 4210, 365, 1145, 5269, 10218, 16, 374, 478, 293, 3323, 268, 3190, 2712, 22812, 1979, 44462, 354, 334, 49798, 553, 282, 2849, 281, 1533, 334, 2511, 3597, 910, 32949, 16, 374, 1542, 17978, 15155, 281, 12731, 13059, 4755, 13589, 1101, 381, 19194, 763, 32652, 360, 32371, 17411, 282, 8497, 17, 292, 6206, 18, 999, 2684, 564, 334, 478, 1501, 8301, 825, 6619, 470, 2993, 34065, 282, 37362, 2287, 3597, 18, 19518, 32652, 282, 12354, 4440, 779, 906, 10566, 798, 294, 10096, 17912, 15978, 349, 6245, 1979, 2891, 371, 9565, 750, 281, 9609, 47089, 40429, 282, 10841, 5021, 779, 18, 16424, 33035, 5494, 11451, 42883, 870, 37390, 478, 343, 296, 5925, 470, 289, 478, 404, 1567, 10045, 758, 470, 541, 2665, 18, 4530, 867, 45440, 25961, 5273, 5734, 10566, 47684, 24853, 13059, 289, 6604, 1211, 3285, 1880, 9770, 282, 20701, 26606, 8972, 354, 282, 28138, 41325, 10144, 4018, 779, 18, 1268, 4111, 4075, 3873, 1477, 718, 25456, 5129, 334, 2856, 6619, 3459, 4140, 373, 16, 374, 11350, 17, 24339, 8874, 309, 10866, 349, 1272, 5196, 519, 10144, 18, 459, 16, 1830, 678, 475, 3066, 322, 17508, 455, 6558, 1519, 282, 36153, 1423, 37917, 16, 22627, 3455, 32652, 282, 38810, 4669, 14016, 2117, 435, 4726, 322, 309, 2507, 2891, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 804, 344, 820, 36126, 6437, 287, 15360, 2756, 27232, 5793, 36252, 25678, 309, 1760, 4017, 309, 5572, 10649, 14378, 2422, 282, 13328, 1212, 42933, 37200, 476, 18, 6735, 1712, 411, 11854, 368, 16, 15726, 17958, 7408, 16, 2076, 6038, 43829, 1678, 7483, 18, 31224, 30, 677, 782, 349, 29955, 4698, 5841, 454, 282, 36976, 2422, 10258, 33083, 4495, 10226, 18, 1303, 2904, 282, 42933, 37200, 476, 639, 371, 27168, 294, 7342, 1175, 16, 2588, 21253, 42580, 1709, 297, 378, 408, 3327, 18, 365, 13993, 622, 17506, 18380, 41191, 3259, 13328, 680, 4966, 329, 5781, 33083, 4495, 2541, 322, 639, 1033, 417, 1536, 34651, 18, 430, 18, 36126, 6437, 287, 15360, 473, 983, 6316, 2750, 13, 376, 15680, 30, 3114, 16, 26, 473, 22, 13, 491, 18, 7956, 17, 43589, 391, 696, 29499, 473, 1464, 546, 783, 13, 4668, 430, 30, 8771, 16, 25, 473, 21, 13, 816, 18, 9020, 2077, 798, 39255, 1458, 473, 44495, 13, 4668, 430, 30, 10176, 16, 27, 473, 23, 13, 1032, 18, 13224, 507, 421, 16470, 274, 521, 295, 2847, 473, 1182, 375, 4472, 4879, 13, 4668, 430, 30, 11672, 16, 20, 473, 24, 13, 1061, 18, 24818, 378, 22187, 14479, 473, 23441, 13, 4668, 491, 30, 8365, 16, 24, 473, 21, 13, 1286, 18, 32944, 820, 48544, 476, 6896, 280, 473, 44495, 13, 4668, 491, 30, 1618, 16, 23, 473, 21, 13, 1409, 18, 31865, 798, 5223, 292, 380, 277, 473, 1464, 546, 783, 13, 4668, 491, 30, 6462, 16, 25, 473, 23, 13, 1488, 18, 25486, 25280, 324, 473, 35362, 333, 746, 13, 4668, 491, 30, 9869, 16, 21, 473, 24, 13, 1658, 18, 18182, 4926, 320, 5269, 473, 23441, 13, 4668, 491, 30, 12086, 16, 26, 473, 23, 13, 1533, 18, 15726, 17958, 7408, 473, 11825, 13, 4668, 491, 30, 11629, 16, 23, 473, 23, 13, 11420, 3940, 18, 9409, 16928, 15043, 473, 11825, 13, 4668, 816, 30, 9348, 16, 23, 473, 25, 13, 11420, 5493, 18, 9409, 21867, 809, 884, 473, 11825, 13, 4668, 1032, 30, 11498, 16, 27, 473, 25, 13, 11420, 5041, 18, 7956, 4218, 11831, 17, 789, 7219, 1577, 473, 11825, 13, 4668, 1409, 30, 8492, 16, 25, 473, 25, 13, 11420, 12695, 18, 16974, 385, 6788, 14954, 473, 11825, 13, 4668, 1488, 30, 11672, 16, 24, 473, 28, 13, 11420, 14746, 18, 26785, 9810, 401, 473, 11825, 13, 4668, 1658, 30, 6568, 16, 28, 473, 26, 13, 30284, 9770, 385, 14796, 1978, 857, 3722, 344, 378, 408, 3327, 272, 2644, 16, 360, 1639, 4385, 639, 10419, 16, 289, 492, 44370, 40086, 33083, 2221, 416, 478, 49938, 18259, 392, 269, 910, 281, 1754, 396, 20211, 1715, 1272, 1533, 17, 23745, 18, 365, 6190, 43535, 1919, 3655, 10344, 9680, 20945, 7342, 1175, 6455, 13231, 1527, 18477, 16, 290, 1639, 2874, 33083, 4495, 10226, 2458, 17309, 18, 2763, 269, 378, 408, 3327, 322, 38678, 16, 374, 1623, 26267, 3347, 11553, 12765, 5308, 16, 289, 27689, 6450, 1519, 334, 568, 3452, 2675, 1761, 363, 287, 967, 937, 401, 18, 2263, 17, 299, 492, 334, 25516, 9680, 3069, 1369, 22122, 1508, 18, 16102, 3337, 761, 14128, 478, 42965, 378, 408, 8367, 470, 2125, 898, 1852, 2411, 548, 282, 42933, 37200, 476, 18, 6883, 1162, 478, 22878, 324, 2356, 910, 334, 25036, 7987, 16, 1373, 935, 31960, 16732, 25522, 18, 478, 7148, 691, 45261, 289, 3036, 1465, 1373, 2388, 16, 374, 1513, 953, 1494, 23673, 1649, 6832, 16, 376, 7332, 1694, 30175, 17958, 28146, 478, 40096, 6085, 861, 651, 4777, 7339, 33849, 294, 3215, 12584, 1147, 3149, 272, 294, 1257, 2325, 825, 19620, 1744, 861, 824, 4734, 13856, 29077, 33083, 4495, 10226, 16, 281, 8864, 12260, 43508, 282, 33083, 23451, 4362, 1653, 3230, 18, 3397, 309, 21311, 5066, 23054, 2555, 17, 5041, 1135, 18, 17958, 7408, 10956, 309, 36347, 9268, 411, 5781, 33083, 4495, 2541, 18, 608, 1710, 685, 23902, 17, 295, 18653, 1742, 5172, 411, 31932, 17, 292, 1951, 2543, 18, 365, 4056, 8933, 19911, 414, 9409, 21867, 809, 884, 289, 16974, 385, 6788, 14954, 424, 1573, 11835, 289, 1281, 17, 277, 47859, 8774, 18, 6083, 349, 4413, 12357, 309, 36347, 29760, 16928, 15043, 289, 26785, 9810, 401, 424, 11114, 17, 277, 289, 12060, 17, 277, 47859, 16, 367, 7956, 4218, 11831, 17, 789, 7219, 1577, 19911, 455, 15882, 17, 295, 18, 11537, 343, 329, 11854, 368, 16, 374, 7291, 16, 322, 28784, 18, 26963, 16, 1639, 34399, 294, 4002, 4681, 11304, 3595, 8876, 16, 19341, 2319, 1882, 18, 32082, 6355, 2874, 18454, 353, 873, 411, 4170, 6994, 4702, 18, 608, 385, 6788, 31739, 651, 7109, 25083, 291, 16, 329, 9810, 1161, 651, 5270, 16, 329, 3437, 39512, 2543, 651, 334, 2852, 18, 981, 289, 478, 268, 16948, 470, 11854, 382, 18042, 1166, 7739, 26935, 47418, 18, 12092, 17958, 28146, 3225, 23683, 309, 3177, 5066, 16, 2076, 14711, 1533, 17, 454, 1678, 7483, 281, 14638, 2405, 264, 14209, 16, 1272, 411, 1639, 898, 21440, 1007, 309, 16876, 42086, 18, 439 ]
[ 1696, 481, 478, 375, 4928, 20746, 910, 988, 2552, 21500, 282, 16524, 12745, 26698, 5728, 294, 6127, 24925, 1619, 552, 9570, 13328, 382, 49686, 13076, 16, 374, 378, 408, 3327, 651, 3964, 322, 6548, 20251, 282, 697, 9792, 292, 18, 14155, 13394, 309, 12112, 49164, 300, 309, 10649, 14378, 2422, 7956, 17, 43589, 391, 696, 29499, 1624, 367, 31865, 798, 5223, 292, 380, 277, 22607, 460, 6406, 32055, 18, 18098, 574, 5793, 25678, 2756, 36126, 6437, 287, 15360, 1624, 12699, 4749, 21971, 8950, 18978, 20262, 9020, 2077, 15194, 39255, 1458, 12576, 3569, 283, 8112, 30319, 6908, 33083, 30767, 282, 3580, 391, 274, 1173, 16, 46818, 1360, 15825, 38356, 682, 18, 14587, 9764, 36126, 10313, 4583, 282, 5271, 37185, 350, 680, 7342, 1175, 16, 515, 19633, 49296, 33083, 15969, 5823, 10864, 447, 4596, 16, 785, 27704, 4498, 16, 349, 5135, 8362, 840, 17884, 6437, 287, 15360, 18, 459, 1441, 1469, 884, 467, 21330, 1335, 10864, 18812, 18, 11333, 6034, 290, 36976, 2422, 334, 33083, 2221, 272, 942, 5298, 309, 7759, 30881, 6961, 18, 2, 1, 87, 1456, 81, 2448, 30, 6014, 13031, 778, 12760, 10218, 290, 583, 762, 436, 272, 2557, 16, 289, 1441, 8362, 4424, 282, 3182, 11272, 9357, 448, 11031, 18, 37540, 4623, 478, 1098, 931, 446, 470, 44027, 1042, 3841, 2387, 28168, 3910, 322, 2564, 32558, 7064, 282, 18483, 1545, 9449, 3017, 13323, 2299, 510, 7638, 322, 47357, 281, 45649, 290, 30764, 24253, 18, 49849, 20250, 3860, 541, 16145, 16, 453, 428, 381, 19097, 330, 282, 18048, 4662, 16, 367, 1038, 541, 2887, 2387, 28168, 3910, 16, 1279, 2024, 19423, 14781, 334, 6619, 290, 22005, 18, 31224, 30, 677, 2630, 281, 867, 16, 374, 282, 18483, 1545, 3017, 282, 13323, 2299, 3017, 5222, 4623, 478, 1098, 931, 446, 470, 44027, 1042, 3841, 2387, 28168, 3910, 322, 2564, 32558, 7064, 16, 5906, 294, 1208, 267, 871, 27554, 3003, 290, 2097, 436, 272, 2557, 11919, 18, 19112, 11031, 18222, 2123, 3597, 18, 1012, 22603, 281, 11755, 47255, 290, 2097, 436, 272, 2557, 11919, 16, 478, 1098, 931, 446, 470, 6554, 18908, 309, 21384, 3173, 16, 753, 322, 4751, 21935, 2553, 1895, 1060, 15194, 472, 743, 326, 392, 11567, 32558, 7064, 17344, 18, 21474, 15717, 16, 1586, 18092, 294, 9350, 272, 16, 2756, 46025, 2387, 28168, 3910, 8865, 1463, 281, 31105, 510, 21340, 4623, 478, 35367, 914, 510, 17464, 470, 439, 5721, 1620, 304, 586, 20333, 1496, 14928, 18, 30781, 2798, 266, 3237, 411, 17, 431, 15708, 542, 2387, 28168, 3910, 17126, 7059, 586, 20333, 5687, 23683, 281, 9449, 16, 1029, 4263, 373, 2678, 2394, 1855, 282, 12301, 963, 38489, 17134, 1901, 14263, 18, 8919, 290, 9130, 546, 14263, 17, 1701, 314, 368, 1015, 282, 12301, 685, 3348, 411, 12153, 4696, 4623, 586, 20333, 5687, 16, 1029, 4419, 17455, 3059, 9362, 7225, 282, 21989, 2387, 28168, 3910, 18, 4798, 12607, 4623, 478, 35367, 914, 510, 17464, 470, 3775, 32558, 7064, 1003, 18, 2387, 1231, 1042, 3910, 322, 38721, 281, 21178, 9449, 16, 453, 428, 282, 505, 24253, 6535, 963, 38489, 17134, 1924, 8944, 1133, 4623, 18, 13630, 11268, 34856, 282, 29302, 4096, 702, 2803, 18, 2387, 28168, 3910, 8566, 586, 20333, 5687, 478, 8544, 7165, 910, 1029, 14268, 294, 20210, 272, 24253, 18, 817, 1038, 2815, 16, 374, 586, 20333, 1496, 8190, 2679, 1634, 21385, 289, 322, 5304, 3604, 1143, 12607, 309, 3741, 10296, 18, 41344, 586, 20333, 5687, 16, 2826, 16, 27866, 309, 10296, 322, 12916, 2175, 289, 26405, 5848, 282, 12760, 1472, 2852, 11630, 18, 586, 20333, 1496, 575, 2815, 16, 374, 8935, 349, 3531, 11031, 8445, 309, 478, 1098, 931, 446, 861, 12280, 8097, 374, 3361, 1251, 5512, 3079, 1082, 2002, 322, 898, 9687, 3570, 30, 29745, 519, 19163, 10144, 586, 20333, 1496, 7777, 281, 5174, 6677, 9322, 11413, 1624, 453, 428, 2815, 290, 3177, 42800, 2047, 281, 27725, 47403, 281, 13095, 1809, 9251, 19906, 768, 17388, 9407, 30, 478, 17603, 656, 16, 428, 7441, 16, 4458, 339, 37649, 451, 8537, 16, 289, 821, 2840, 349, 481, 840, 18088, 2234, 6377, 9526, 3623, 910, 510, 3153, 492, 16, 3696, 7892, 290, 1360, 31330, 18, 19112, 11031, 18222, 282, 21223, 17578, 510, 1524, 6436, 2553, 2815, 16, 374, 282, 2191, 404, 1003, 4076, 309, 11506, 14016, 18, 38160, 1273, 47199, 1072, 565, 1238, 22172, 29745, 519, 10744, 290, 3741, 10296, 6489, 576, 11051, 16, 988, 639, 34854, 16, 374, 3531, 11031, 381, 19097, 330, 282, 4843, 39775, 3763, 18, 4320, 42031, 16, 37302, 16171, 2387, 28168, 3910, 28518, 329, 2891, 510, 16289, 538, 16, 961, 6418, 282, 5797, 278, 423, 19599, 11268, 16, 1698, 282, 1177, 445, 18311, 975, 44769, 16, 44866, 2733, 2175, 26092, 505, 20323, 18, 3249, 281, 8807, 289, 46885, 21828, 360, 2387, 28168, 3910, 16, 541, 2024, 870, 29734, 2497, 11031, 1747, 1573, 10479, 334, 14540, 18, 365, 21223, 4096, 3164, 289, 2387, 28168, 3910, 16, 1279, 2024, 1698, 953, 5019, 2106, 15760, 14267, 282, 22005, 16, 290, 828, 4419, 27834, 22974, 16145, 18, 37522, 542, 7614, 802, 282, 12354, 18, 365, 502, 575, 808, 2387, 1231, 1042, 3910, 19256, 25184, 282, 14355, 5534, 30000, 4426, 1360, 32250, 6688, 282, 4599, 29434, 1275, 18, 478, 3001, 19127, 282, 8554, 5074, 496, 16, 38296, 525, 2678, 505, 36599, 910, 510, 3542, 4140, 282, 11526, 845, 7705, 309, 3614, 14630, 5500, 2776, 404, 607, 14647, 778, 23024, 289, 11309, 294, 1208, 267, 871, 29800, 5151, 7408, 18, 19112, 11031, 1698, 18908, 309, 2507, 7265, 21680, 18249, 2387, 1231, 1042, 3910, 411, 11917, 4623, 478, 684, 1408, 380, 17, 17007, 1736, 470, 504, 337, 16048, 613, 18, 640, 19163, 10296, 1542, 10080, 16, 1586, 7199, 8111, 309, 33085, 20957, 454, 289, 7356, 7077, 19629, 3400, 30430, 712, 281, 478, 1098, 931, 446, 470, 2686, 835, 839, 6984, 1143, 15466, 4568, 17815, 18, 20102, 1815, 15958, 478, 684, 1408, 380, 17, 17007, 1736, 470, 23024, 629, 1395, 41390, 578, 2815, 16, 374, 3531, 11031, 510, 481, 478, 812, 626, 20854, 861, 38160, 1273, 19882, 22172, 1202, 4262, 3531, 29734, 2497, 11031, 478, 40659, 40121, 758, 470, 289, 10050, 16, 374, 745, 14473, 2480, 467, 21394, 12375, 13757, 23510, 2514, 36599, 16, 1029, 19656, 467, 2145, 18, 8353, 3991, 349, 1047, 9540, 9783, 402, 403, 897, 1458, 16, 325, 990, 4830, 2145, 5035, 35109, 34031, 18, 985, 3542, 11882, 10958, 16303, 593, 27000, 16, 3010, 20165, 18528, 15920 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1696, 481, 478, 375, 4928, 20746, 910, 988, 2552, 21500, 282, 16524, 12745, 26698, 5728, 294, 6127, 24925, 1619, 552, 9570, 13328, 382, 49686, 13076, 16, 374, 378, 408, 3327, 651, 3964, 322, 6548, 20251, 282, 697, 9792, 292, 18, 14155, 13394, 309, 12112, 49164, 300, 309, 10649, 14378, 2422, 7956, 17, 43589, 391, 696, 29499, 1624, 367, 31865, 798, 5223, 292, 380, 277, 22607, 460, 6406, 32055, 18, 18098, 574, 5793, 25678, 2756, 36126, 6437, 287, 15360, 1624, 12699, 4749, 21971, 8950, 18978, 20262, 9020, 2077, 15194, 39255, 1458, 12576, 3569, 283, 8112, 30319, 6908, 33083, 30767, 282, 3580, 391, 274, 1173, 16, 46818, 1360, 15825, 38356, 682, 18, 14587, 9764, 36126, 10313, 4583, 282, 5271, 37185, 350, 680, 7342, 1175, 16, 515, 19633, 49296, 33083, 15969, 5823, 10864, 447, 4596, 16, 785, 27704, 4498, 16, 349, 5135, 8362, 840, 17884, 6437, 287, 15360, 18, 459, 1441, 1469, 884, 467, 21330, 1335, 10864, 18812, 18, 11333, 6034, 290, 36976, 2422, 334, 33083, 2221, 272, 942, 5298, 309, 7759, 30881, 6961, 18, 2, 1, 87, 1456, 81, 2448, 30, 6014, 13031, 778, 12760, 10218, 290, 583, 762, 436, 272, 2557, 16, 289, 1441, 8362, 4424, 282, 3182, 11272, 9357, 448, 11031, 18, 37540, 4623, 478, 1098, 931, 446, 470, 44027, 1042, 3841, 2387, 28168, 3910, 322, 2564, 32558, 7064, 282, 18483, 1545, 9449, 3017, 13323, 2299, 510, 7638, 322, 47357, 281, 45649, 290, 30764, 24253, 18, 49849, 20250, 3860, 541, 16145, 16, 453, 428, 381, 19097, 330, 282, 18048, 4662, 16, 367, 1038, 541, 2887, 2387, 28168, 3910, 16, 1279, 2024, 19423, 14781, 334, 6619, 290, 22005, 18, 31224, 30, 677, 2630, 281, 867, 16, 374, 282, 18483, 1545, 3017, 282, 13323, 2299, 3017, 5222, 4623, 478, 1098, 931, 446, 470, 44027, 1042, 3841, 2387, 28168, 3910, 322, 2564, 32558, 7064, 16, 5906, 294, 1208, 267, 871, 27554, 3003, 290, 2097, 436, 272, 2557, 11919, 18, 19112, 11031, 18222, 2123, 3597, 18, 1012, 22603, 281, 11755, 47255, 290, 2097, 436, 272, 2557, 11919, 16, 478, 1098, 931, 446, 470, 6554, 18908, 309, 21384, 3173, 16, 753, 322, 4751, 21935, 2553, 1895, 1060, 15194, 472, 743, 326, 392, 11567, 32558, 7064, 17344, 18, 21474, 15717, 16, 1586, 18092, 294, 9350, 272, 16, 2756, 46025, 2387, 28168, 3910, 8865, 1463, 281, 31105, 510, 21340, 4623, 478, 35367, 914, 510, 17464, 470, 439, 5721, 1620, 304, 586, 20333, 1496, 14928, 18, 30781, 2798, 266, 3237, 411, 17, 431, 15708, 542, 2387, 28168, 3910, 17126, 7059, 586, 20333, 5687, 23683, 281, 9449, 16, 1029, 4263, 373, 2678, 2394, 1855, 282, 12301, 963, 38489, 17134, 1901, 14263, 18, 8919, 290, 9130, 546, 14263, 17, 1701, 314, 368, 1015, 282, 12301, 685, 3348, 411, 12153, 4696, 4623, 586, 20333, 5687, 16, 1029, 4419, 17455, 3059, 9362, 7225, 282, 21989, 2387, 28168, 3910, 18, 4798, 12607, 4623, 478, 35367, 914, 510, 17464, 470, 3775, 32558, 7064, 1003, 18, 2387, 1231, 1042, 3910, 322, 38721, 281, 21178, 9449, 16, 453, 428, 282, 505, 24253, 6535, 963, 38489, 17134, 1924, 8944, 1133, 4623, 18, 13630, 11268, 34856, 282, 29302, 4096, 702, 2803, 18, 2387, 28168, 3910, 8566, 586, 20333, 5687, 478, 8544, 7165, 910, 1029, 14268, 294, 20210, 272, 24253, 18, 817, 1038, 2815, 16, 374, 586, 20333, 1496, 8190, 2679, 1634, 21385, 289, 322, 5304, 3604, 1143, 12607, 309, 3741, 10296, 18, 41344, 586, 20333, 5687, 16, 2826, 16, 27866, 309, 10296, 322, 12916, 2175, 289, 26405, 5848, 282, 12760, 1472, 2852, 11630, 18, 586, 20333, 1496, 575, 2815, 16, 374, 8935, 349, 3531, 11031, 8445, 309, 478, 1098, 931, 446, 861, 12280, 8097, 374, 3361, 1251, 5512, 3079, 1082, 2002, 322, 898, 9687, 3570, 30, 29745, 519, 19163, 10144, 586, 20333, 1496, 7777, 281, 5174, 6677, 9322, 11413, 1624, 453, 428, 2815, 290, 3177, 42800, 2047, 281, 27725, 47403, 281, 13095, 1809, 9251, 19906, 768, 17388, 9407, 30, 478, 17603, 656, 16, 428, 7441, 16, 4458, 339, 37649, 451, 8537, 16, 289, 821, 2840, 349, 481, 840, 18088, 2234, 6377, 9526, 3623, 910, 510, 3153, 492, 16, 3696, 7892, 290, 1360, 31330, 18, 19112, 11031, 18222, 282, 21223, 17578, 510, 1524, 6436, 2553, 2815, 16, 374, 282, 2191, 404, 1003, 4076, 309, 11506, 14016, 18, 38160, 1273, 47199, 1072, 565, 1238, 22172, 29745, 519, 10744, 290, 3741, 10296, 6489, 576, 11051, 16, 988, 639, 34854, 16, 374, 3531, 11031, 381, 19097, 330, 282, 4843, 39775, 3763, 18, 4320, 42031, 16, 37302, 16171, 2387, 28168, 3910, 28518, 329, 2891, 510, 16289, 538, 16, 961, 6418, 282, 5797, 278, 423, 19599, 11268, 16, 1698, 282, 1177, 445, 18311, 975, 44769, 16, 44866, 2733, 2175, 26092, 505, 20323, 18, 3249, 281, 8807, 289, 46885, 21828, 360, 2387, 28168, 3910, 16, 541, 2024, 870, 29734, 2497, 11031, 1747, 1573, 10479, 334, 14540, 18, 365, 21223, 4096, 3164, 289, 2387, 28168, 3910, 16, 1279, 2024, 1698, 953, 5019, 2106, 15760, 14267, 282, 22005, 16, 290, 828, 4419, 27834, 22974, 16145, 18, 37522, 542, 7614, 802, 282, 12354, 18, 365, 502, 575, 808, 2387, 1231, 1042, 3910, 19256, 25184, 282, 14355, 5534, 30000, 4426, 1360, 32250, 6688, 282, 4599, 29434, 1275, 18, 478, 3001, 19127, 282, 8554, 5074, 496, 16, 38296, 525, 2678, 505, 36599, 910, 510, 3542, 4140, 282, 11526, 845, 7705, 309, 3614, 14630, 5500, 2776, 404, 607, 14647, 778, 23024, 289, 11309, 294, 1208, 267, 871, 29800, 5151, 7408, 18, 19112, 11031, 1698, 18908, 309, 2507, 7265, 21680, 18249, 2387, 1231, 1042, 3910, 411, 11917, 4623, 478, 684, 1408, 380, 17, 17007, 1736, 470, 504, 337, 16048, 613, 18, 640, 19163, 10296, 1542, 10080, 16, 1586, 7199, 8111, 309, 33085, 20957, 454, 289, 7356, 7077, 19629, 3400, 30430, 712, 281, 478, 1098, 931, 446, 470, 2686, 835, 839, 6984, 1143, 15466, 4568, 17815, 18, 20102, 1815, 15958, 478, 684, 1408, 380, 17, 17007, 1736, 470, 23024, 629, 1395, 41390, 578, 2815, 16, 374, 3531, 11031, 510, 481, 478, 812, 626, 20854, 861, 38160, 1273, 19882, 22172, 1202, 4262, 3531, 29734, 2497, 11031, 478, 40659, 40121, 758, 470, 289, 10050, 16, 374, 745, 14473, 2480, 467, 21394, 12375, 13757, 23510, 2514, 36599, 16, 1029, 19656, 467, 2145, 18, 8353, 3991, 349, 1047, 9540, 9783, 402, 403, 897, 1458, 16, 325, 990, 4830, 2145, 5035, 35109, 34031, 18, 985, 3542, 11882, 10958, 16303, 593, 27000, 16, 3010, 20165, 18528, 15920 ]
[ 38520, 3961, 29434, 1703, 11711, 277, 16, 2686, 16, 3848, 1223, 16, 322, 840, 26079, 282, 965, 7794, 20242, 3284, 718, 4000, 18, 824, 4734, 35065, 34361, 1180, 32099, 12266, 7085, 565, 27943, 5717, 282, 30967, 1782, 314, 1891, 10056, 23226, 16, 282, 1750, 281, 2387, 28168, 3910, 9728, 5429, 478, 742, 556, 322, 998, 2002, 861, 967, 6449, 43444, 28941, 476, 16, 2548, 12189, 16, 17464, 478, 50168, 10846, 502, 16, 374, 492, 5073, 1882, 1223, 16, 367, 1717, 15707, 1595, 20383, 48313, 3591, 18234, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 35807, 842, 470, 289, 14775, 1880, 478, 13781, 470, 10313, 4667, 9764, 282, 16876, 28220, 779, 7561, 2665, 334, 15749, 18, 478, 22766, 44430, 470, 2957, 4030, 519, 2418, 12994, 16432, 1195, 8972, 2389, 16, 322, 5824, 743, 282, 6315, 7237, 472, 2517, 15688, 13220, 18, 31224, 30, 677, 10882, 2384, 4334, 282, 9711, 2947, 263, 289, 6315, 7237, 472, 2517, 41905, 1281, 17, 295, 3676, 7561, 2665, 334, 15749, 16, 289, 9888, 10561, 2566, 33291, 478, 13781, 470, 289, 478, 35807, 842, 861, 30866, 3536, 873, 2462, 2251, 282, 26083, 478, 822, 10161, 269, 910, 1029, 1595, 10133, 24905, 282, 11877, 651, 282, 34228, 281, 478, 47604, 3924, 861, 5154, 3227, 7791, 9318, 4018, 779, 16, 374, 23934, 25794, 435, 16, 1696, 282, 1175, 6281, 282, 12544, 764, 289, 309, 13420, 11056, 16, 1830, 282, 4729, 10705, 3338, 33957, 17767, 12412, 282, 870, 4701, 32829, 519, 1760, 12762, 13780, 18, 740, 309, 4862, 5658, 6622, 16628, 282, 13186, 309, 5284, 3255, 16, 374, 289, 4336, 857, 5941, 6281, 20988, 3676, 282, 11023, 16, 10933, 575, 42222, 8802, 7187, 1143, 23233, 16, 367, 1441, 48982, 16, 374, 6110, 6281, 282, 30881, 4190, 18, 6452, 447, 16180, 17793, 18695, 6976, 7638, 17, 326, 877, 8197, 4466, 281, 12070, 478, 13781, 470, 289, 478, 35807, 3850, 470, 282, 10882, 16, 2686, 16, 282, 6588, 360, 478, 25626, 470, 477, 478, 13467, 304, 470, 1624, 870, 4966, 19553, 322, 1251, 1807, 18, 35837, 1247, 16, 428, 1391, 2888, 1871, 4466, 281, 12070, 3322, 18036, 3541, 2553, 282, 1176, 595, 883, 1119, 16, 289, 520, 486, 6554, 45976, 2384, 1313, 282, 9711, 2947, 263, 16, 1029, 33988, 309, 2261, 30, 646, 18, 478, 36468, 884, 3536, 1133, 470, 18347, 5792, 1833, 575, 25290, 290, 2530, 12049, 289, 478, 20258, 8650, 379, 36580, 470, 14775, 718, 7586, 16, 2686, 475, 1743, 16, 3848, 1223, 16, 282, 970, 16, 374, 2117, 478, 35807, 3850, 470, 2319, 1033, 4566, 324, 14497, 731, 321, 3787, 30780, 16, 1215, 722, 289, 33988, 282, 1376, 27169, 17, 6189, 277, 18, 478, 13781, 470, 575, 8003, 1374, 14027, 10125, 1177, 13314, 4603, 16, 43009, 16960, 12544, 282, 9711, 2947, 263, 16, 567, 7422, 8267, 31554, 554, 1763, 743, 2846, 37253, 18, 478, 1009, 5565, 332, 910, 428, 2734, 520, 322, 282, 1176, 1609, 4266, 475, 8876, 16, 10201, 12544, 322, 541, 10580, 25421, 16, 515, 8388, 341, 8616, 6816, 2777, 1517, 291, 367, 22843, 549, 3196, 324, 18, 439, 281, 478, 13781, 470, 294, 2222, 575, 322, 29240, 5778, 2169, 2906, 329, 978, 7586, 44380, 450, 25752, 343, 289, 25610, 5269, 16, 6177, 38331, 478, 1009, 5565, 1018, 470, 290, 970, 6851, 16, 334, 505, 3163, 16, 349, 1808, 519, 7977, 16, 453, 374, 282, 10357, 707, 3711, 7146, 1871, 31252, 35672, 18, 2777, 1517, 291, 685, 32603, 2733, 14620, 478, 13781, 910, 14517, 16, 374, 282, 5572, 38529, 25610, 5269, 1279, 478, 13781, 470, 11347, 473, 822, 25752, 382, 1655, 282, 1588, 2947, 1212, 16690, 764, 322, 639, 814, 365, 6031, 309, 25803, 47702, 2777, 1517, 11118, 3711, 34835, 26118, 2009, 442, 1083, 34126, 3873, 928, 8053, 16, 289, 411, 1335, 10580, 6498, 1272, 37253, 14673, 3536, 1275, 18, 403, 2222, 575, 1011, 4256, 40259, 1378, 42875, 360, 478, 35807, 3850, 470, 2777, 1517, 291, 9556, 271, 478, 13715, 5172, 1176, 470, 4522, 743, 30168, 1011, 17336, 25682, 640, 9651, 16, 289, 1500, 8616, 32655, 30, 428, 8396, 1272, 32657, 651, 309, 505, 16867, 18, 832, 12916, 2175, 24935, 289, 6729, 38013, 1624, 374, 282, 32928, 289, 13748, 294, 1619, 33976, 15749, 18, 8859, 2948, 16337, 15014, 30, 282, 20330, 464, 38013, 10490, 9410, 7304, 6310, 2031, 17241, 15809, 1011, 47702, 1385, 11475, 1015, 16, 515, 282, 6031, 39923, 1737, 11216, 16, 367, 309, 15655, 9702, 5216, 4167, 1860, 345, 312, 397, 27706, 399, 562, 18, 30866, 3536, 873, 20137, 1248, 1871, 7130, 30, 15820, 5495, 5269, 14212, 282, 10556, 668, 1097, 401, 2822, 309, 7256, 445, 309, 12233, 16208, 1484, 7225, 19243, 6470, 409, 342, 1624, 367, 1500, 7236, 282, 5482, 36725, 309, 23263, 5687, 5835, 344, 392, 18, 46535, 312, 1577, 16, 428, 289, 1833, 9208, 505, 17815, 16, 4167, 5773, 1176, 309, 5335, 416, 6688, 289, 322, 25083, 1309, 18, 4852, 2846, 1879, 478, 13781, 470, 726, 33039, 2736, 576, 30, 28456, 459, 4130, 263, 4745, 50253, 282, 36725, 28253, 289, 37103, 282, 13757, 883, 6421, 18, 9967, 3619, 34840, 7974, 6470, 10428, 16, 6096, 28557, 326, 6235, 473, 7974, 504, 11164, 375, 1055, 309, 17527, 281, 15825, 322, 28671, 13, 31773, 590, 991, 382, 16, 2671, 10551, 12097, 18333, 1043, 282, 5482, 4629, 18, 439, 1188, 3818, 23511, 304, 2132, 2683, 14456, 774, 17363, 450, 11899, 30, 492, 6435, 282, 32386, 6421, 939, 7654, 16, 515, 640, 2534, 18719, 322, 21661, 14431, 309, 19722, 635, 2303, 913, 289, 11216, 322, 10760, 18, 9639, 5335, 478, 1009, 5565, 332, 470, 31270, 25669, 289, 567, 7422, 44056, 1139, 11723, 32026, 282, 31277, 18, 9746, 405, 8860, 390, 2882, 37103, 28980, 309, 795, 1616, 16, 515, 4426, 1702, 405, 301, 6629, 11216, 282, 26778, 282, 32386, 6421, 18, 740, 6940, 1260, 12156, 445, 7954, 16483, 30556, 30, 15820, 5495, 5269, 20800, 289, 21755, 1684, 18070, 16, 289, 24729, 6458, 16, 289, 2820, 36532, 18, 365, 5462, 582, 4966, 282, 3178, 7130, 6933, 282, 7980, 26100, 16, 6177, 289, 18333, 609, 16, 289, 27706, 399, 562, 5684, 43655, 35048, 31598, 349, 322, 22528, 3179, 326, 307, 14570, 9704, 18, 478, 15883, 329, 813, 322, 639, 3018, 309, 12853, 16, 895, 953, 16, 2117, 1548, 289, 31555, 2500, 7542, 451, 4004, 18, 2949, 924, 16, 329, 813, 898, 14887, 3860, 281, 32387, 16, 289, 29557, 6470, 409, 342, 282, 3998, 4466, 26780, 1154, 6730 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38520, 3961, 29434, 1703, 11711, 277, 16, 2686, 16, 3848, 1223, 16, 322, 840, 26079, 282, 965, 7794, 20242, 3284, 718, 4000, 18, 824, 4734, 35065, 34361, 1180, 32099, 12266, 7085, 565, 27943, 5717, 282, 30967, 1782, 314, 1891, 10056, 23226, 16, 282, 1750, 281, 2387, 28168, 3910, 9728, 5429, 478, 742, 556, 322, 998, 2002, 861, 967, 6449, 43444, 28941, 476, 16, 2548, 12189, 16, 17464, 478, 50168, 10846, 502, 16, 374, 492, 5073, 1882, 1223, 16, 367, 1717, 15707, 1595, 20383, 48313, 3591, 18234, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 35807, 842, 470, 289, 14775, 1880, 478, 13781, 470, 10313, 4667, 9764, 282, 16876, 28220, 779, 7561, 2665, 334, 15749, 18, 478, 22766, 44430, 470, 2957, 4030, 519, 2418, 12994, 16432, 1195, 8972, 2389, 16, 322, 5824, 743, 282, 6315, 7237, 472, 2517, 15688, 13220, 18, 31224, 30, 677, 10882, 2384, 4334, 282, 9711, 2947, 263, 289, 6315, 7237, 472, 2517, 41905, 1281, 17, 295, 3676, 7561, 2665, 334, 15749, 16, 289, 9888, 10561, 2566, 33291, 478, 13781, 470, 289, 478, 35807, 842, 861, 30866, 3536, 873, 2462, 2251, 282, 26083, 478, 822, 10161, 269, 910, 1029, 1595, 10133, 24905, 282, 11877, 651, 282, 34228, 281, 478, 47604, 3924, 861, 5154, 3227, 7791, 9318, 4018, 779, 16, 374, 23934, 25794, 435, 16, 1696, 282, 1175, 6281, 282, 12544, 764, 289, 309, 13420, 11056, 16, 1830, 282, 4729, 10705, 3338, 33957, 17767, 12412, 282, 870, 4701, 32829, 519, 1760, 12762, 13780, 18, 740, 309, 4862, 5658, 6622, 16628, 282, 13186, 309, 5284, 3255, 16, 374, 289, 4336, 857, 5941, 6281, 20988, 3676, 282, 11023, 16, 10933, 575, 42222, 8802, 7187, 1143, 23233, 16, 367, 1441, 48982, 16, 374, 6110, 6281, 282, 30881, 4190, 18, 6452, 447, 16180, 17793, 18695, 6976, 7638, 17, 326, 877, 8197, 4466, 281, 12070, 478, 13781, 470, 289, 478, 35807, 3850, 470, 282, 10882, 16, 2686, 16, 282, 6588, 360, 478, 25626, 470, 477, 478, 13467, 304, 470, 1624, 870, 4966, 19553, 322, 1251, 1807, 18, 35837, 1247, 16, 428, 1391, 2888, 1871, 4466, 281, 12070, 3322, 18036, 3541, 2553, 282, 1176, 595, 883, 1119, 16, 289, 520, 486, 6554, 45976, 2384, 1313, 282, 9711, 2947, 263, 16, 1029, 33988, 309, 2261, 30, 646, 18, 478, 36468, 884, 3536, 1133, 470, 18347, 5792, 1833, 575, 25290, 290, 2530, 12049, 289, 478, 20258, 8650, 379, 36580, 470, 14775, 718, 7586, 16, 2686, 475, 1743, 16, 3848, 1223, 16, 282, 970, 16, 374, 2117, 478, 35807, 3850, 470, 2319, 1033, 4566, 324, 14497, 731, 321, 3787, 30780, 16, 1215, 722, 289, 33988, 282, 1376, 27169, 17, 6189, 277, 18, 478, 13781, 470, 575, 8003, 1374, 14027, 10125, 1177, 13314, 4603, 16, 43009, 16960, 12544, 282, 9711, 2947, 263, 16, 567, 7422, 8267, 31554, 554, 1763, 743, 2846, 37253, 18, 478, 1009, 5565, 332, 910, 428, 2734, 520, 322, 282, 1176, 1609, 4266, 475, 8876, 16, 10201, 12544, 322, 541, 10580, 25421, 16, 515, 8388, 341, 8616, 6816, 2777, 1517, 291, 367, 22843, 549, 3196, 324, 18, 439, 281, 478, 13781, 470, 294, 2222, 575, 322, 29240, 5778, 2169, 2906, 329, 978, 7586, 44380, 450, 25752, 343, 289, 25610, 5269, 16, 6177, 38331, 478, 1009, 5565, 1018, 470, 290, 970, 6851, 16, 334, 505, 3163, 16, 349, 1808, 519, 7977, 16, 453, 374, 282, 10357, 707, 3711, 7146, 1871, 31252, 35672, 18, 2777, 1517, 291, 685, 32603, 2733, 14620, 478, 13781, 910, 14517, 16, 374, 282, 5572, 38529, 25610, 5269, 1279, 478, 13781, 470, 11347, 473, 822, 25752, 382, 1655, 282, 1588, 2947, 1212, 16690, 764, 322, 639, 814, 365, 6031, 309, 25803, 47702, 2777, 1517, 11118, 3711, 34835, 26118, 2009, 442, 1083, 34126, 3873, 928, 8053, 16, 289, 411, 1335, 10580, 6498, 1272, 37253, 14673, 3536, 1275, 18, 403, 2222, 575, 1011, 4256, 40259, 1378, 42875, 360, 478, 35807, 3850, 470, 2777, 1517, 291, 9556, 271, 478, 13715, 5172, 1176, 470, 4522, 743, 30168, 1011, 17336, 25682, 640, 9651, 16, 289, 1500, 8616, 32655, 30, 428, 8396, 1272, 32657, 651, 309, 505, 16867, 18, 832, 12916, 2175, 24935, 289, 6729, 38013, 1624, 374, 282, 32928, 289, 13748, 294, 1619, 33976, 15749, 18, 8859, 2948, 16337, 15014, 30, 282, 20330, 464, 38013, 10490, 9410, 7304, 6310, 2031, 17241, 15809, 1011, 47702, 1385, 11475, 1015, 16, 515, 282, 6031, 39923, 1737, 11216, 16, 367, 309, 15655, 9702, 5216, 4167, 1860, 345, 312, 397, 27706, 399, 562, 18, 30866, 3536, 873, 20137, 1248, 1871, 7130, 30, 15820, 5495, 5269, 14212, 282, 10556, 668, 1097, 401, 2822, 309, 7256, 445, 309, 12233, 16208, 1484, 7225, 19243, 6470, 409, 342, 1624, 367, 1500, 7236, 282, 5482, 36725, 309, 23263, 5687, 5835, 344, 392, 18, 46535, 312, 1577, 16, 428, 289, 1833, 9208, 505, 17815, 16, 4167, 5773, 1176, 309, 5335, 416, 6688, 289, 322, 25083, 1309, 18, 4852, 2846, 1879, 478, 13781, 470, 726, 33039, 2736, 576, 30, 28456, 459, 4130, 263, 4745, 50253, 282, 36725, 28253, 289, 37103, 282, 13757, 883, 6421, 18, 9967, 3619, 34840, 7974, 6470, 10428, 16, 6096, 28557, 326, 6235, 473, 7974, 504, 11164, 375, 1055, 309, 17527, 281, 15825, 322, 28671, 13, 31773, 590, 991, 382, 16, 2671, 10551, 12097, 18333, 1043, 282, 5482, 4629, 18, 439, 1188, 3818, 23511, 304, 2132, 2683, 14456, 774, 17363, 450, 11899, 30, 492, 6435, 282, 32386, 6421, 939, 7654, 16, 515, 640, 2534, 18719, 322, 21661, 14431, 309, 19722, 635, 2303, 913, 289, 11216, 322, 10760, 18, 9639, 5335, 478, 1009, 5565, 332, 470, 31270, 25669, 289, 567, 7422, 44056, 1139, 11723, 32026, 282, 31277, 18, 9746, 405, 8860, 390, 2882, 37103, 28980, 309, 795, 1616, 16, 515, 4426, 1702, 405, 301, 6629, 11216, 282, 26778, 282, 32386, 6421, 18, 740, 6940, 1260, 12156, 445, 7954, 16483, 30556, 30, 15820, 5495, 5269, 20800, 289, 21755, 1684, 18070, 16, 289, 24729, 6458, 16, 289, 2820, 36532, 18, 365, 5462, 582, 4966, 282, 3178, 7130, 6933, 282, 7980, 26100, 16, 6177, 289, 18333, 609, 16, 289, 27706, 399, 562, 5684, 43655, 35048, 31598, 349, 322, 22528, 3179, 326, 307, 14570, 9704, 18, 478, 15883, 329, 813, 322, 639, 3018, 309, 12853, 16, 895, 953, 16, 2117, 1548, 289, 31555, 2500, 7542, 451, 4004, 18, 2949, 924, 16, 329, 813, 898, 14887, 3860, 281, 32387, 16, 289, 29557, 6470, 409, 342, 282, 3998, 4466, 26780, 1154, 6730 ]
[ 18, 740, 4836, 16, 374, 656, 26450, 414, 1617, 13189, 16, 34447, 1177, 10133, 289, 1441, 1299, 10412, 6174, 1372, 12010, 16, 1727, 8518, 309, 22189, 4079, 7069, 15852, 910, 510, 2815, 1011, 7977, 28557, 326, 6235, 18, 478, 1358, 13204, 16, 374, 656, 3984, 6281, 282, 12544, 16, 289, 417, 5726, 322, 8190, 2679, 18, 1345, 2826, 14725, 16, 515, 478, 13781, 470, 376, 481, 478, 13781, 11593, 349, 2874, 11222, 745, 813, 1833, 575, 13619, 414, 910, 510, 481, 726, 1694, 6816, 2777, 1517, 401, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1009, 5565, 332, 470, 510, 478, 13781, 470, 403, 18, 478, 35807, 842, 470, 1595, 10133, 329, 5536, 5250, 33296, 1320, 17060, 16, 6177, 322, 453, 9864, 16, 367, 309, 16354, 18, 365, 6315, 7237, 472, 2517, 4577, 639, 2319, 1654, 569, 968, 16, 828, 282, 9711, 2947, 263, 16, 515, 478, 35807, 842, 470, 322, 1559, 3275, 649, 21755, 16, 10322, 659, 10552, 7977, 281, 478, 48334, 552, 3032, 470, 11112, 4443, 1333, 289, 15386, 16, 3176, 639, 2003, 18, 3747, 477, 1963, 3073, 16, 374, 1177, 10133, 478, 1615, 465, 1876, 470, 322, 7117, 6040, 16, 541, 478, 35807, 3850, 470, 18548, 19449, 19599, 21755, 651, 1715, 10064, 18, 740, 9746, 413, 3183, 500, 272, 39904, 8649, 2452, 16, 988, 16, 9705, 16, 3424, 322, 27831, 2223, 32618, 272, 45008, 15573, 651, 334, 39394, 16, 1011, 32922, 282, 27165, 282, 34228, 360, 1047, 12010, 8003, 802, 11033, 18, 2320, 1756, 309, 1064, 15738, 13784, 12307, 47137, 660, 16, 515, 1858, 322, 17363, 16, 367, 4119, 5335, 434, 1307, 28772, 3424, 25165, 26634, 421, 11773, 441, 1231, 18, 478, 35807, 842, 470, 289, 583, 11347, 16, 289, 7739, 3033, 14522, 16, 515, 282, 6031, 17363, 1472, 309, 40195, 45798, 4466, 16, 785, 10660, 1097, 401, 2822, 774, 382, 2314, 20836, 2749, 8833, 1068, 405, 281, 31811, 20010, 45300, 271, 421, 11773, 441, 1231, 18, 439, 2992, 774, 685, 1763, 341, 1833, 1011, 21842, 16, 785, 1761, 24536, 1027, 287, 1146, 364, 11216, 282, 42808, 1011, 924, 16, 428, 505, 575, 5335, 8833, 1068, 405, 13879, 3064, 282, 34874, 888, 18, 7409, 44368, 6382, 282, 12549, 1734, 8384, 16, 289, 4966, 41173, 5280, 4869, 18, 34733, 1428, 278, 262, 3619, 1871, 1993, 3494, 31598, 282, 3178, 3437, 1879, 16, 289, 7040, 16, 374, 726, 505, 2615, 47953, 349, 5335, 21755, 45941, 45127, 309, 35520, 16, 289, 15626, 1258, 2851, 6235, 6089, 8720, 16, 753, 1373, 575, 14086, 8475, 27273, 613, 281, 4629, 16, 828, 14306, 13225, 879, 15506, 18, 439, 6096, 43132, 3619, 36113, 35969, 29720, 349, 13344, 879, 47953, 1279, 385, 269, 318, 16, 2024, 3183, 500, 272, 5957, 3711, 14476, 18, 640, 9268, 20537, 9700, 50172, 757, 26521, 18447, 1510, 309, 25283, 3318, 15561, 16, 515, 1763, 22396, 773, 774, 322, 685, 3882, 759, 363, 411, 17, 431, 6404, 11178, 347, 18, 3318, 15561, 309, 26593, 17, 295, 20537, 4223, 4226, 7179, 1307, 28772, 11088, 2263, 314, 884, 1624, 5076, 2401, 5873, 322, 3225, 16, 1830, 13189, 898, 18, 11492, 10133, 7609, 309, 4577, 8851, 25236, 14118, 40439, 20506, 301, 1152, 1624, 4373, 5358, 1815, 349, 478, 684, 9429, 296, 4069, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 684, 9429, 296, 4069, 470, 510, 478, 35807, 842, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 14769, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 4673, 14383, 11875, 11620, 1051, 36059, 8900, 5115, 478, 27874, 861, 23602, 27664, 8018, 706, 309, 1421, 23523, 18, 403, 726, 3952, 1147, 1951, 3033, 11338, 45668, 872, 272, 3495, 843, 34339, 4210, 1034, 392, 483, 16, 34989, 11170, 947, 289, 10121, 44995, 20716, 18, 31224, 30, 19021, 1884, 662, 5115, 478, 27874, 470, 3696, 857, 11620, 1051, 36059, 8900, 18, 23602, 20894, 14306, 15183, 289, 31592, 1070, 2496, 28654, 11338, 18, 478, 677, 9878, 11258, 12997, 11620, 1051, 478, 21837, 4654, 470, 6146, 13805, 10689, 16, 961, 3929, 309, 1800, 14088, 31384, 289, 22290, 9471, 10711, 282, 3177, 6542, 293, 1528, 264, 16, 510, 7299, 478, 46088, 18, 8381, 470, 309, 34764, 27429, 18, 510, 889, 4965, 293, 36918, 451, 4210, 1034, 392, 483, 16, 40984, 7870, 34989, 11170, 947, 16, 24950, 941, 19746, 17, 23666, 2116, 289, 43078, 3662, 5115, 3495, 419, 16, 367, 1038, 1176, 411, 3322, 7878, 8562, 2632, 289, 28943, 19279, 35223, 10121, 44995, 20716, 18, 6644, 411, 1335, 3303, 382, 6048, 42898, 10895, 282, 26473, 16, 329, 4286, 14185, 7279, 3050, 16390, 4611, 861, 365, 9878, 11258, 2496, 22516, 5115, 282, 37581, 6088, 687, 3495, 419, 16, 1029, 13694, 3455, 16, 428, 282, 5344, 11338, 16, 453, 289, 282, 478, 27874, 18, 15847, 861, 1397, 5327, 44995, 20716, 16, 11170, 947, 289, 1034, 392, 756, 1624, 502, 541, 1129, 481, 840, 2615, 21614, 3952, 18, 4210, 1034, 392, 483, 16, 10121, 44995, 20716, 16, 3495, 419, 289, 34989, 11170, 947, 18, 18206, 1287, 11620, 1051, 4090, 8900, 9094, 27874, 27, 5, 9094, 3045, 3608, 301, 392, 483, 9094, 9977, 435, 947, 9094, 807, 419, 9094, 2499, 775, 1520, 277, 555, 20716, 9094, 297, 6875, 9094, 872, 2451, 1310, 300, 9094, 90, 21892, 21, 88, 90, 9094, 21, 88, 90, 36538, 783, 360, 9094, 27874, 46114, 90, 21892, 21, 88, 90, 13, 3405, 2871, 297, 11826, 282, 1533, 30, 8914, 40425, 56, 31325, 28794, 28943, 289, 18607, 5418, 6272, 14243, 9543, 22937, 17015, 1038, 9299, 16, 374, 309, 6127, 1742, 3260, 11620, 1051, 21519, 435, 33126, 15364, 16, 2486, 2170, 1323, 13557, 978, 779, 567, 808, 25193, 8900, 478, 27874, 18, 45949, 861, 478, 36250, 4538, 16, 1188, 25120, 4090, 9536, 25539, 656, 653, 9973, 11753, 15364, 510, 2616, 373, 773, 3813, 4641, 282, 9878, 11258, 282, 4949, 9437, 11620, 1051, 16, 510, 4725, 22937, 17015, 18, 510, 4707, 648, 685, 34807, 309, 26318, 9313, 2244, 25193, 8900, 478, 27874, 18, 15847, 470, 371, 3599, 10044, 455, 1021, 70, 70, 17915, 289, 282, 31265, 17886, 2139, 423, 309, 3614, 28240, 18, 365, 653, 12862, 21035, 10121, 44995, 20716, 16, 367, 2393, 10172, 25539, 19425, 2223, 282, 3609, 263, 861, 38207, 1757, 17999, 541, 28654, 5115, 2438, 13649, 12697, 1034, 392, 756, 282, 13735, 42398, 18, 7042, 5524, 4921, 584, 419, 844, 429, 478, 21837, 4654, 470, 281, 31592, 3021, 4608 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 740, 4836, 16, 374, 656, 26450, 414, 1617, 13189, 16, 34447, 1177, 10133, 289, 1441, 1299, 10412, 6174, 1372, 12010, 16, 1727, 8518, 309, 22189, 4079, 7069, 15852, 910, 510, 2815, 1011, 7977, 28557, 326, 6235, 18, 478, 1358, 13204, 16, 374, 656, 3984, 6281, 282, 12544, 16, 289, 417, 5726, 322, 8190, 2679, 18, 1345, 2826, 14725, 16, 515, 478, 13781, 470, 376, 481, 478, 13781, 11593, 349, 2874, 11222, 745, 813, 1833, 575, 13619, 414, 910, 510, 481, 726, 1694, 6816, 2777, 1517, 401, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1009, 5565, 332, 470, 510, 478, 13781, 470, 403, 18, 478, 35807, 842, 470, 1595, 10133, 329, 5536, 5250, 33296, 1320, 17060, 16, 6177, 322, 453, 9864, 16, 367, 309, 16354, 18, 365, 6315, 7237, 472, 2517, 4577, 639, 2319, 1654, 569, 968, 16, 828, 282, 9711, 2947, 263, 16, 515, 478, 35807, 842, 470, 322, 1559, 3275, 649, 21755, 16, 10322, 659, 10552, 7977, 281, 478, 48334, 552, 3032, 470, 11112, 4443, 1333, 289, 15386, 16, 3176, 639, 2003, 18, 3747, 477, 1963, 3073, 16, 374, 1177, 10133, 478, 1615, 465, 1876, 470, 322, 7117, 6040, 16, 541, 478, 35807, 3850, 470, 18548, 19449, 19599, 21755, 651, 1715, 10064, 18, 740, 9746, 413, 3183, 500, 272, 39904, 8649, 2452, 16, 988, 16, 9705, 16, 3424, 322, 27831, 2223, 32618, 272, 45008, 15573, 651, 334, 39394, 16, 1011, 32922, 282, 27165, 282, 34228, 360, 1047, 12010, 8003, 802, 11033, 18, 2320, 1756, 309, 1064, 15738, 13784, 12307, 47137, 660, 16, 515, 1858, 322, 17363, 16, 367, 4119, 5335, 434, 1307, 28772, 3424, 25165, 26634, 421, 11773, 441, 1231, 18, 478, 35807, 842, 470, 289, 583, 11347, 16, 289, 7739, 3033, 14522, 16, 515, 282, 6031, 17363, 1472, 309, 40195, 45798, 4466, 16, 785, 10660, 1097, 401, 2822, 774, 382, 2314, 20836, 2749, 8833, 1068, 405, 281, 31811, 20010, 45300, 271, 421, 11773, 441, 1231, 18, 439, 2992, 774, 685, 1763, 341, 1833, 1011, 21842, 16, 785, 1761, 24536, 1027, 287, 1146, 364, 11216, 282, 42808, 1011, 924, 16, 428, 505, 575, 5335, 8833, 1068, 405, 13879, 3064, 282, 34874, 888, 18, 7409, 44368, 6382, 282, 12549, 1734, 8384, 16, 289, 4966, 41173, 5280, 4869, 18, 34733, 1428, 278, 262, 3619, 1871, 1993, 3494, 31598, 282, 3178, 3437, 1879, 16, 289, 7040, 16, 374, 726, 505, 2615, 47953, 349, 5335, 21755, 45941, 45127, 309, 35520, 16, 289, 15626, 1258, 2851, 6235, 6089, 8720, 16, 753, 1373, 575, 14086, 8475, 27273, 613, 281, 4629, 16, 828, 14306, 13225, 879, 15506, 18, 439, 6096, 43132, 3619, 36113, 35969, 29720, 349, 13344, 879, 47953, 1279, 385, 269, 318, 16, 2024, 3183, 500, 272, 5957, 3711, 14476, 18, 640, 9268, 20537, 9700, 50172, 757, 26521, 18447, 1510, 309, 25283, 3318, 15561, 16, 515, 1763, 22396, 773, 774, 322, 685, 3882, 759, 363, 411, 17, 431, 6404, 11178, 347, 18, 3318, 15561, 309, 26593, 17, 295, 20537, 4223, 4226, 7179, 1307, 28772, 11088, 2263, 314, 884, 1624, 5076, 2401, 5873, 322, 3225, 16, 1830, 13189, 898, 18, 11492, 10133, 7609, 309, 4577, 8851, 25236, 14118, 40439, 20506, 301, 1152, 1624, 4373, 5358, 1815, 349, 478, 684, 9429, 296, 4069, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 684, 9429, 296, 4069, 470, 510, 478, 35807, 842, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 14769, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 4673, 14383, 11875, 11620, 1051, 36059, 8900, 5115, 478, 27874, 861, 23602, 27664, 8018, 706, 309, 1421, 23523, 18, 403, 726, 3952, 1147, 1951, 3033, 11338, 45668, 872, 272, 3495, 843, 34339, 4210, 1034, 392, 483, 16, 34989, 11170, 947, 289, 10121, 44995, 20716, 18, 31224, 30, 19021, 1884, 662, 5115, 478, 27874, 470, 3696, 857, 11620, 1051, 36059, 8900, 18, 23602, 20894, 14306, 15183, 289, 31592, 1070, 2496, 28654, 11338, 18, 478, 677, 9878, 11258, 12997, 11620, 1051, 478, 21837, 4654, 470, 6146, 13805, 10689, 16, 961, 3929, 309, 1800, 14088, 31384, 289, 22290, 9471, 10711, 282, 3177, 6542, 293, 1528, 264, 16, 510, 7299, 478, 46088, 18, 8381, 470, 309, 34764, 27429, 18, 510, 889, 4965, 293, 36918, 451, 4210, 1034, 392, 483, 16, 40984, 7870, 34989, 11170, 947, 16, 24950, 941, 19746, 17, 23666, 2116, 289, 43078, 3662, 5115, 3495, 419, 16, 367, 1038, 1176, 411, 3322, 7878, 8562, 2632, 289, 28943, 19279, 35223, 10121, 44995, 20716, 18, 6644, 411, 1335, 3303, 382, 6048, 42898, 10895, 282, 26473, 16, 329, 4286, 14185, 7279, 3050, 16390, 4611, 861, 365, 9878, 11258, 2496, 22516, 5115, 282, 37581, 6088, 687, 3495, 419, 16, 1029, 13694, 3455, 16, 428, 282, 5344, 11338, 16, 453, 289, 282, 478, 27874, 18, 15847, 861, 1397, 5327, 44995, 20716, 16, 11170, 947, 289, 1034, 392, 756, 1624, 502, 541, 1129, 481, 840, 2615, 21614, 3952, 18, 4210, 1034, 392, 483, 16, 10121, 44995, 20716, 16, 3495, 419, 289, 34989, 11170, 947, 18, 18206, 1287, 11620, 1051, 4090, 8900, 9094, 27874, 27, 5, 9094, 3045, 3608, 301, 392, 483, 9094, 9977, 435, 947, 9094, 807, 419, 9094, 2499, 775, 1520, 277, 555, 20716, 9094, 297, 6875, 9094, 872, 2451, 1310, 300, 9094, 90, 21892, 21, 88, 90, 9094, 21, 88, 90, 36538, 783, 360, 9094, 27874, 46114, 90, 21892, 21, 88, 90, 13, 3405, 2871, 297, 11826, 282, 1533, 30, 8914, 40425, 56, 31325, 28794, 28943, 289, 18607, 5418, 6272, 14243, 9543, 22937, 17015, 1038, 9299, 16, 374, 309, 6127, 1742, 3260, 11620, 1051, 21519, 435, 33126, 15364, 16, 2486, 2170, 1323, 13557, 978, 779, 567, 808, 25193, 8900, 478, 27874, 18, 45949, 861, 478, 36250, 4538, 16, 1188, 25120, 4090, 9536, 25539, 656, 653, 9973, 11753, 15364, 510, 2616, 373, 773, 3813, 4641, 282, 9878, 11258, 282, 4949, 9437, 11620, 1051, 16, 510, 4725, 22937, 17015, 18, 510, 4707, 648, 685, 34807, 309, 26318, 9313, 2244, 25193, 8900, 478, 27874, 18, 15847, 470, 371, 3599, 10044, 455, 1021, 70, 70, 17915, 289, 282, 31265, 17886, 2139, 423, 309, 3614, 28240, 18, 365, 653, 12862, 21035, 10121, 44995, 20716, 16, 367, 2393, 10172, 25539, 19425, 2223, 282, 3609, 263, 861, 38207, 1757, 17999, 541, 28654, 5115, 2438, 13649, 12697, 1034, 392, 756, 282, 13735, 42398, 18, 7042, 5524, 4921, 584, 419, 844, 429, 478, 21837, 4654, 470, 281, 31592, 3021, 4608 ]
[ 9529, 2089, 14535, 18, 478, 1464, 392, 483, 5, 8269, 840, 6026, 910, 478, 1464, 392, 269, 5, 20622, 910, 478, 37653, 4799, 315, 840, 5298, 309, 1034, 392, 756, 910, 510, 25290, 21215, 39768, 18, 7699, 5524, 4921, 1038, 16170, 16, 374, 3003, 49191, 49357, 2452, 11620, 1051, 726, 47435, 4688, 18, 478, 7448, 6218, 16, 374, 2452, 1381, 12631, 18, 16877, 17, 299, 20143, 2452, 764, 519, 924, 16, 428, 475, 15516, 18, 439, 2141, 16, 475, 13173, 16, 428, 965, 988, 5245, 18, 365, 6449, 1750, 16, 282, 5690, 9212, 694, 1943, 282, 675, 506, 282, 20629, 1089, 18, 996, 374, 16, 3684, 16, 281, 3290, 802, 745, 910, 510, 16926, 2197, 411, 9983, 18, 403, 15695, 16, 1717, 5222, 17567, 478, 36898, 6284, 470, 1559, 12181, 16, 1085, 537, 7633, 322, 31715, 309, 17229, 18, 1483, 4060, 1027, 13557, 34989, 11170, 947, 29241, 309, 16996, 567, 808, 21469, 40793, 282, 11338, 478, 27874, 18, 15847, 470, 289, 44951, 21166, 2466, 25734, 44995, 20716, 18, 1253, 497, 555, 1974, 281, 2872, 49733, 478, 563, 412, 39959, 861, 1397, 5327, 15294, 7680, 25734, 510, 27585, 16, 502, 492, 16, 10265, 47292, 2665, 16, 25660, 706, 28794, 304, 14774, 7475, 5115, 478, 27874, 18, 15847, 861, 31290, 16, 374, 282, 803, 1045, 2452, 11620, 1051, 1559, 322, 687, 22647, 16, 515, 289, 23081, 334, 483, 392, 16, 453, 428, 11170, 947, 510, 1038, 2954, 343, 2665, 18, 3873, 10038, 294, 15695, 16, 2397, 282, 3177, 34171, 10521, 8735, 27585, 1034, 4970, 14646, 18, 13353, 45207, 4167, 3495, 419, 16, 1029, 685, 11620, 2409, 282, 33762, 11258, 18112, 11338, 16, 367, 1038, 4484, 300, 21166, 2466, 282, 16876, 11258, 478, 27874, 18, 15847, 861, 10418, 1014, 4419, 7200, 11606, 10218, 11875, 11620, 1051, 4090, 5115, 478, 27874, 18, 5259, 15, 470, 541, 2842, 7126, 2524, 20994, 18, 459, 353, 2458, 21701, 5020, 27585, 510, 16095, 44995, 20716, 16, 378, 555, 1484, 274, 16, 17397, 439, 877, 1520, 289, 9867, 2502, 15561, 18, 365, 803, 1750, 639, 7239, 3003, 26328, 687, 2236, 478, 14121, 343, 470, 282, 5503, 15472, 38639, 20584, 2502, 15561, 18, 45598, 16, 374, 16095, 44995, 20716, 726, 282, 7504, 445, 21870, 997, 282, 10404, 42398, 16, 2686, 492, 764, 537, 7633, 322, 5962, 8465, 282, 5344, 17229, 478, 27874, 861, 27489, 36986, 11620, 2409, 1209, 30334, 478, 21837, 4654, 470, 1623, 3720, 7891, 280, 778, 1624, 13479, 21166, 2497, 26869, 414, 282, 11338, 2846, 4570, 18, 824, 1871, 9764, 329, 30236, 9833, 476, 3583, 289, 25971, 504, 1154, 324, 473, 4931, 510, 282, 27354, 19145, 934, 289, 334, 2059, 10313, 4667, 25085, 36785, 45352, 507, 1624, 37026, 439, 877, 3949, 289, 378, 555, 1484, 265, 18, 385, 2761, 3851, 9518, 478, 21837, 4654, 470, 41532, 1409, 3597, 16, 367, 502, 3412, 17978, 5797, 26955, 478, 27874, 18, 5259, 15, 470, 1055, 764, 322, 40569, 16, 2686, 4871, 15516, 1320, 11130, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 7900, 572, 2016, 24063, 38029, 323, 40267, 16, 374, 4272, 282, 29051, 42064, 322, 7737, 2023, 16, 1085, 1574, 20672, 13466, 8604, 18, 38029, 323, 445, 1167, 1909, 477, 5993, 3317, 8735, 396, 478, 34740, 512, 470, 608, 25074, 18, 1598, 5259, 2533, 687, 6501, 7863, 21505, 1078, 18, 38232, 17, 24339, 2665, 6363, 27538, 483, 45955, 8014, 300, 8348, 9916, 2203, 18, 817, 3828, 16, 374, 2003, 16161, 5245, 14965, 290, 1420, 16, 753, 322, 20970, 3394, 1086, 13095, 2110, 3125, 13126, 18, 4756, 9916, 2016, 31134, 5860, 977, 282, 4599, 2533, 411, 19921, 16, 961, 13473, 282, 13333, 1974, 281, 9154, 14339, 26729, 18, 31224, 30, 14745, 19767, 9916, 2016, 24063, 38029, 323, 1624, 24484, 1360, 47010, 349, 20203, 5075, 16, 40267, 867, 16, 374, 4272, 322, 6597, 16, 1085, 1574, 20672, 13466, 8604, 18, 365, 17130, 22065, 5099, 45, 47, 678, 10703, 16, 374, 13000, 282, 986, 1555, 19356, 282, 3877, 441, 11968, 263, 16, 2319, 13473, 4272, 411, 12201, 12466, 18, 17269, 572, 2016, 445, 1167, 1909, 281, 38200, 8735, 411, 478, 298, 32328, 2025, 470, 45620, 22998, 1873, 4257, 473, 1140, 25074, 16, 32587, 282, 1175, 934, 367, 1038, 30827, 19440, 1917, 318, 309, 15942, 478, 34740, 512, 46602, 861, 365, 3709, 411, 3483, 1123, 291, 25892, 3499, 9963, 26458, 13466, 26726, 16, 289, 38029, 323, 4387, 329, 2533, 16, 1085, 492, 1574, 18, 478, 6014, 5259, 2533, 687, 6501, 6745, 16, 1085, 1574, 13466, 8604, 18, 8353, 2533, 30, 478, 983, 363, 8604, 510, 481, 1500, 16, 1085, 9988, 309, 9844, 423, 910, 510, 10703, 9916, 2016, 18, 38232, 17, 24339, 2665, 6363, 27538, 483, 1624, 48131, 42524, 38029, 323, 16, 2815, 16, 374, 404, 10796, 878, 16161, 14965, 290, 9916, 2827, 18, 478, 24686, 3440, 656, 3984, 45417, 20799, 978, 31478, 434, 1631, 16, 867, 1882, 18, 629, 2447, 2023, 687, 2361, 30, 4101, 2846, 281, 16401, 779, 14775, 778, 3672, 11666, 12977, 44587, 9431, 289, 45286, 329, 4186, 16, 3229, 1223, 16, 329, 2533, 16, 26203, 478, 609, 647, 30005, 910, 20970, 312, 848, 28874, 13095, 2110, 3125, 13126, 910, 510, 15875, 1694, 27538, 756, 727, 4742, 18, 27538, 483, 1038, 5273, 16, 374, 20672, 13466, 8604, 510, 481, 6548, 478, 6157, 323, 470, 37299, 14774, 2891, 18, 817, 16, 282, 4810, 16, 2055, 271, 709, 309, 1694, 4830, 2665, 10403, 9344, 1624, 1202, 650, 2822, 965, 478, 377, 40189, 13466, 868, 323, 861, 478, 672, 7086, 1886, 1934, 19193, 1133, 19293, 16, 1830, 1177, 1135, 322, 1623, 17519, 12029, 26888, 18, 889, 322, 1033, 828, 26703, 281, 3084, 5520, 18, 2046, 309, 4862, 17897, 1934, 19193, 1133, 19293, 18, 2151, 542, 48768, 18, 439, 502, 16, 374, 1450, 1085, 17, 299, 424, 1035, 1211, 655, 5661, 3440, 656, 3984, 20056, 20799, 473, 682, 9052, 323, 934, 867, 6335, 9324, 656, 31994, 406, 541, 1512, 910, 510, 2815, 6363, 27538, 483, 18, 4756, 24063, 38029, 323, 9321, 16, 374, 4272, 411, 19921, 322, 2125, 23233, 1974, 281, 9154, 14339, 31839, 282, 29051, 42064, 18, 1253, 36044, 360, 26729, 10526, 281, 34022, 4971, 4869, 18, 985, 8977, 9916, 2016, 16, 4272, 411, 19921, 8641, 4266, 33492, 9563, 16, 374, 478, 3851, 3809, 40927, 2567, 16, 428, 6333, 3809, 861, 478, 21393, 21657, 13061, 16, 785, 282, 42064, 6979, 467, 4272, 281, 19646, 5856, 17070, 18, 21731, 2175, 745, 294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9529, 2089, 14535, 18, 478, 1464, 392, 483, 5, 8269, 840, 6026, 910, 478, 1464, 392, 269, 5, 20622, 910, 478, 37653, 4799, 315, 840, 5298, 309, 1034, 392, 756, 910, 510, 25290, 21215, 39768, 18, 7699, 5524, 4921, 1038, 16170, 16, 374, 3003, 49191, 49357, 2452, 11620, 1051, 726, 47435, 4688, 18, 478, 7448, 6218, 16, 374, 2452, 1381, 12631, 18, 16877, 17, 299, 20143, 2452, 764, 519, 924, 16, 428, 475, 15516, 18, 439, 2141, 16, 475, 13173, 16, 428, 965, 988, 5245, 18, 365, 6449, 1750, 16, 282, 5690, 9212, 694, 1943, 282, 675, 506, 282, 20629, 1089, 18, 996, 374, 16, 3684, 16, 281, 3290, 802, 745, 910, 510, 16926, 2197, 411, 9983, 18, 403, 15695, 16, 1717, 5222, 17567, 478, 36898, 6284, 470, 1559, 12181, 16, 1085, 537, 7633, 322, 31715, 309, 17229, 18, 1483, 4060, 1027, 13557, 34989, 11170, 947, 29241, 309, 16996, 567, 808, 21469, 40793, 282, 11338, 478, 27874, 18, 15847, 470, 289, 44951, 21166, 2466, 25734, 44995, 20716, 18, 1253, 497, 555, 1974, 281, 2872, 49733, 478, 563, 412, 39959, 861, 1397, 5327, 15294, 7680, 25734, 510, 27585, 16, 502, 492, 16, 10265, 47292, 2665, 16, 25660, 706, 28794, 304, 14774, 7475, 5115, 478, 27874, 18, 15847, 861, 31290, 16, 374, 282, 803, 1045, 2452, 11620, 1051, 1559, 322, 687, 22647, 16, 515, 289, 23081, 334, 483, 392, 16, 453, 428, 11170, 947, 510, 1038, 2954, 343, 2665, 18, 3873, 10038, 294, 15695, 16, 2397, 282, 3177, 34171, 10521, 8735, 27585, 1034, 4970, 14646, 18, 13353, 45207, 4167, 3495, 419, 16, 1029, 685, 11620, 2409, 282, 33762, 11258, 18112, 11338, 16, 367, 1038, 4484, 300, 21166, 2466, 282, 16876, 11258, 478, 27874, 18, 15847, 861, 10418, 1014, 4419, 7200, 11606, 10218, 11875, 11620, 1051, 4090, 5115, 478, 27874, 18, 5259, 15, 470, 541, 2842, 7126, 2524, 20994, 18, 459, 353, 2458, 21701, 5020, 27585, 510, 16095, 44995, 20716, 16, 378, 555, 1484, 274, 16, 17397, 439, 877, 1520, 289, 9867, 2502, 15561, 18, 365, 803, 1750, 639, 7239, 3003, 26328, 687, 2236, 478, 14121, 343, 470, 282, 5503, 15472, 38639, 20584, 2502, 15561, 18, 45598, 16, 374, 16095, 44995, 20716, 726, 282, 7504, 445, 21870, 997, 282, 10404, 42398, 16, 2686, 492, 764, 537, 7633, 322, 5962, 8465, 282, 5344, 17229, 478, 27874, 861, 27489, 36986, 11620, 2409, 1209, 30334, 478, 21837, 4654, 470, 1623, 3720, 7891, 280, 778, 1624, 13479, 21166, 2497, 26869, 414, 282, 11338, 2846, 4570, 18, 824, 1871, 9764, 329, 30236, 9833, 476, 3583, 289, 25971, 504, 1154, 324, 473, 4931, 510, 282, 27354, 19145, 934, 289, 334, 2059, 10313, 4667, 25085, 36785, 45352, 507, 1624, 37026, 439, 877, 3949, 289, 378, 555, 1484, 265, 18, 385, 2761, 3851, 9518, 478, 21837, 4654, 470, 41532, 1409, 3597, 16, 367, 502, 3412, 17978, 5797, 26955, 478, 27874, 18, 5259, 15, 470, 1055, 764, 322, 40569, 16, 2686, 4871, 15516, 1320, 11130, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 7900, 572, 2016, 24063, 38029, 323, 40267, 16, 374, 4272, 282, 29051, 42064, 322, 7737, 2023, 16, 1085, 1574, 20672, 13466, 8604, 18, 38029, 323, 445, 1167, 1909, 477, 5993, 3317, 8735, 396, 478, 34740, 512, 470, 608, 25074, 18, 1598, 5259, 2533, 687, 6501, 7863, 21505, 1078, 18, 38232, 17, 24339, 2665, 6363, 27538, 483, 45955, 8014, 300, 8348, 9916, 2203, 18, 817, 3828, 16, 374, 2003, 16161, 5245, 14965, 290, 1420, 16, 753, 322, 20970, 3394, 1086, 13095, 2110, 3125, 13126, 18, 4756, 9916, 2016, 31134, 5860, 977, 282, 4599, 2533, 411, 19921, 16, 961, 13473, 282, 13333, 1974, 281, 9154, 14339, 26729, 18, 31224, 30, 14745, 19767, 9916, 2016, 24063, 38029, 323, 1624, 24484, 1360, 47010, 349, 20203, 5075, 16, 40267, 867, 16, 374, 4272, 322, 6597, 16, 1085, 1574, 20672, 13466, 8604, 18, 365, 17130, 22065, 5099, 45, 47, 678, 10703, 16, 374, 13000, 282, 986, 1555, 19356, 282, 3877, 441, 11968, 263, 16, 2319, 13473, 4272, 411, 12201, 12466, 18, 17269, 572, 2016, 445, 1167, 1909, 281, 38200, 8735, 411, 478, 298, 32328, 2025, 470, 45620, 22998, 1873, 4257, 473, 1140, 25074, 16, 32587, 282, 1175, 934, 367, 1038, 30827, 19440, 1917, 318, 309, 15942, 478, 34740, 512, 46602, 861, 365, 3709, 411, 3483, 1123, 291, 25892, 3499, 9963, 26458, 13466, 26726, 16, 289, 38029, 323, 4387, 329, 2533, 16, 1085, 492, 1574, 18, 478, 6014, 5259, 2533, 687, 6501, 6745, 16, 1085, 1574, 13466, 8604, 18, 8353, 2533, 30, 478, 983, 363, 8604, 510, 481, 1500, 16, 1085, 9988, 309, 9844, 423, 910, 510, 10703, 9916, 2016, 18, 38232, 17, 24339, 2665, 6363, 27538, 483, 1624, 48131, 42524, 38029, 323, 16, 2815, 16, 374, 404, 10796, 878, 16161, 14965, 290, 9916, 2827, 18, 478, 24686, 3440, 656, 3984, 45417, 20799, 978, 31478, 434, 1631, 16, 867, 1882, 18, 629, 2447, 2023, 687, 2361, 30, 4101, 2846, 281, 16401, 779, 14775, 778, 3672, 11666, 12977, 44587, 9431, 289, 45286, 329, 4186, 16, 3229, 1223, 16, 329, 2533, 16, 26203, 478, 609, 647, 30005, 910, 20970, 312, 848, 28874, 13095, 2110, 3125, 13126, 910, 510, 15875, 1694, 27538, 756, 727, 4742, 18, 27538, 483, 1038, 5273, 16, 374, 20672, 13466, 8604, 510, 481, 6548, 478, 6157, 323, 470, 37299, 14774, 2891, 18, 817, 16, 282, 4810, 16, 2055, 271, 709, 309, 1694, 4830, 2665, 10403, 9344, 1624, 1202, 650, 2822, 965, 478, 377, 40189, 13466, 868, 323, 861, 478, 672, 7086, 1886, 1934, 19193, 1133, 19293, 16, 1830, 1177, 1135, 322, 1623, 17519, 12029, 26888, 18, 889, 322, 1033, 828, 26703, 281, 3084, 5520, 18, 2046, 309, 4862, 17897, 1934, 19193, 1133, 19293, 18, 2151, 542, 48768, 18, 439, 502, 16, 374, 1450, 1085, 17, 299, 424, 1035, 1211, 655, 5661, 3440, 656, 3984, 20056, 20799, 473, 682, 9052, 323, 934, 867, 6335, 9324, 656, 31994, 406, 541, 1512, 910, 510, 2815, 6363, 27538, 483, 18, 4756, 24063, 38029, 323, 9321, 16, 374, 4272, 411, 19921, 322, 2125, 23233, 1974, 281, 9154, 14339, 31839, 282, 29051, 42064, 18, 1253, 36044, 360, 26729, 10526, 281, 34022, 4971, 4869, 18, 985, 8977, 9916, 2016, 16, 4272, 411, 19921, 8641, 4266, 33492, 9563, 16, 374, 478, 3851, 3809, 40927, 2567, 16, 428, 6333, 3809, 861, 478, 21393, 21657, 13061, 16, 785, 282, 42064, 6979, 467, 4272, 281, 19646, 5856, 17070, 18, 21731, 2175, 745, 294 ]
[ 1299, 11596, 289, 541, 1660, 697, 7345, 530, 281, 13092, 43319, 9154, 5433, 510, 9321, 38029, 323, 18, 9873, 978, 16, 9916, 2016, 906, 7107, 8991, 16, 374, 282, 970, 575, 27354, 19356, 14965, 31680, 309, 12843, 6718, 18, 38029, 323, 16926, 46718, 30701, 2466, 2533, 289, 282, 3206, 3494, 17, 23189, 1748, 28350, 18, 365, 4301, 7811, 349, 28741, 286, 468, 7975, 6780, 678, 46360, 541, 1129, 478, 18665, 14573, 10764, 2234, 3672, 282, 19356, 910, 2834, 9935, 3111, 281, 9154, 687, 309, 40357, 18, 478, 21126, 282, 3206, 2523, 1109, 16, 374, 322, 7281, 20203, 5075, 16, 2197, 7559, 572, 2016, 2323, 16, 374, 505, 38429, 18, 629, 2323, 510, 481, 6935, 20423, 1743, 18, 999, 10168, 30701, 4368, 6730, 281, 9154, 281, 5732, 1963, 387, 7682, 6546, 4942, 309, 3610, 25556, 910, 510, 8977, 38029, 323, 18, 439, 349, 8225, 14769, 16, 7415, 16, 29559, 18624, 2804, 541, 2533, 16, 9321, 678, 18, 4756, 38029, 323, 4893, 45955, 8014, 455, 3714, 16275, 6816, 608, 23226, 1624, 1029, 16, 334, 722, 4734, 16, 1011, 9764, 1195, 18952, 25937, 31766, 496, 528, 18440, 13432, 322, 29608, 13839, 8362, 289, 25467, 349, 8156, 18, 478, 11227, 703, 608, 19554, 510, 14827, 45573, 18, 981, 16, 492, 28192, 634, 45635, 35406, 16, 492, 1623, 3356, 5325, 1634, 8916, 523, 16, 515, 492, 45573, 18, 45368, 309, 1177, 1702, 9851, 16, 492, 757, 309, 1992, 2309, 2023, 478, 47944, 4862, 24450, 515, 978, 322, 3404, 18, 889, 1696, 322, 1139, 19167, 297, 18, 5093, 4417, 42826, 282, 23323, 7871, 10381, 2023, 1177, 19167, 297, 16, 515, 492, 1574, 39798, 322, 2397, 910, 510, 10624, 4364, 38029, 323, 18347, 5792, 18, 15193, 265, 4504, 415, 39628, 17, 1140, 25074, 473, 630, 39628, 16, 25497, 12201, 46602, 16, 32587, 282, 1175, 13, 289, 722, 13764, 510, 9963, 26458, 13466, 26726, 289, 35111, 1034, 809, 14646, 510, 9466, 25108, 477, 1963, 22516, 9421, 11345, 2793, 16, 8448, 4568, 23603, 16, 3725, 1582, 17391, 309, 4862, 18, 1606, 15833, 7807, 624, 46602, 567, 808, 2793, 16, 3057, 16, 47941, 2127, 1126, 1427, 510, 33462, 10076, 40019, 477, 1963, 12201, 46602, 282, 12200, 1045, 18, 824, 3761, 27591, 16, 1655, 9100, 360, 8653, 519, 3417, 4500, 18, 1135, 18, 365, 2343, 2801, 779, 27414, 1551, 1175, 13749, 17664, 16458, 15740, 478, 14745, 19767, 22998, 3384, 10169, 470, 289, 31544, 722, 5998, 309, 2923, 2553, 18, 20672, 13466, 8604, 685, 3348, 411, 10235, 10762, 2632, 6143, 45620, 22998, 1873, 4257, 473, 1140, 25074, 934, 5173, 1754, 18147, 22874, 13521, 349, 20638, 2665, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 1628, 616, 14130, 18747, 6118, 4137, 32543, 22533, 2815, 16, 374, 309, 15258, 1212, 289, 37704, 1212, 24643, 27810, 20889, 38413, 309, 9482, 2407, 5910, 12201, 47267, 13752, 18, 2949, 924, 16, 18347, 478, 293, 4571, 287, 9472, 1924, 3402, 470, 42502, 46839, 282, 4599, 2954, 1175, 16, 9940, 343, 1587, 12127, 18, 3771, 2986, 13344, 530, 289, 3038, 2625, 567, 7467, 4695, 309, 9482, 2665, 18, 31224, 30, 38960, 1923, 12201, 47267, 13752, 289, 22186, 1970, 334, 17, 6093, 1747, 20982, 22585, 309, 9482, 1175, 510, 3433, 20889, 27810, 16, 2815, 5037, 14250, 416, 5119, 18747, 6118, 4137, 32543, 22533, 18, 985, 3110, 391, 26448, 477, 7755, 309, 1694, 11809, 16, 24278, 2324, 448, 3463, 281, 3989, 7773, 45947, 1698, 22473, 9868, 38413, 282, 14613, 289, 28786, 1767, 18, 22568, 309, 13078, 2665, 289, 1175, 5702, 478, 19696, 12549, 1734, 861, 2949, 924, 16, 18347, 478, 293, 4571, 287, 9472, 1924, 3402, 470, 12530, 22473, 15734, 5643, 3193, 282, 4599, 9940, 343, 1587, 28999, 12127, 11854, 18, 824, 3163, 11809, 32543, 41116, 16, 18347, 3125, 28086, 289, 14250, 1157, 12596, 965, 281, 30571, 2407, 43769, 2911, 16, 13344, 530, 289, 2669, 478, 10004, 13711, 1245, 3038, 2625, 470, 282, 5505, 2557, 309, 9482, 2665, 16, 3110, 727, 4742, 18, 3695, 3598, 4786, 47267, 13752, 17, 28845, 1214, 2632, 906, 8664, 2773, 289, 12860, 35529, 2819, 798, 19716, 18747, 282, 14613, 18, 824, 3761, 16986, 12971, 16891, 473, 3127, 43122, 13, 18747, 16, 4786, 906, 15622, 28542, 15472, 20691, 23111, 13392, 2665, 6420, 419, 5619, 25868, 364, 3583, 510, 8324, 10667, 22934, 485, 3259, 18, 25284, 290, 11184, 3463, 685, 360, 1204, 15258, 1602, 17, 46816, 1703, 3125, 414, 2922, 1895, 2503, 496, 39741, 441, 2509, 1624, 31891, 2854, 17664, 41275, 478, 780, 5847, 27790, 15258, 1602, 17, 46816, 718, 5478, 470, 473, 4354, 298, 2365, 282, 2407, 814, 1681, 1826, 454, 282, 30764, 17664, 16458, 3463, 282, 37362, 1413, 455, 39823, 3623, 2665, 18, 24195, 12464, 15607, 5848, 282, 14613, 8296, 5204, 1443, 16, 30494, 1279, 396, 13776, 933, 43548, 16131, 16, 367, 1038, 445, 19890, 309, 34162, 49319, 4314, 289, 6190, 2499, 14080, 4314, 11062, 554, 18, 2949, 25591, 14769, 20691, 282, 2452, 17567, 9311, 1272, 16644, 18221, 3714, 16275, 12250, 22689, 289, 9963, 6264, 18, 5223, 9900, 1262, 10469, 9271, 9902, 478, 317, 17450, 470, 8344, 16, 282, 8151, 3612, 11826, 779, 1763, 3080, 275, 7378, 1082, 281, 478, 28465, 4325, 1080, 29096, 401, 470, 914, 15258, 718, 44560, 1232, 625, 3905, 326, 5714, 332, 3583, 1624, 5358, 2989, 282, 8156, 46948, 427, 25088, 281, 9609, 18, 365, 1312, 43122, 18747, 16170, 16, 374, 349, 10168, 31935, 14492, 309, 2923, 11007, 22308, 3463, 26729, 42847, 48318, 6524, 9654, 334, 4843, 16041, 9017, 18, 365, 12335, 16642, 779, 16, 5130, 282, 23032, 1312, 43122, 16, 8811, 18747, 387, 31505, 2236, 411, 3714, 35223, 510, 9963, 6264, 18, 17135, 6367, 3463, 5709, 1007, 5034, 448, 1101, 289, 1768, 1604, 11646, 5072, 48236, 451, 11923, 18, 3727, 10474, 476, 513, 8324, 303, 22934, 7656, 4434, 4973, 334, 7705, 478, 44511, 3228, 17664, 28651, 15948, 289, 834, 3951, 343, 1562, 282, 5998, 17664, 28651, 15948, 910, 367, 282, 4599, 1949, 3714, 35223, 510, 9963, 6264, 289, 34584, 3340, 510, 7301, 1007, 5034, 448, 1101, 334, 7705, 478, 1140, 31236, 282, 17664, 285, 1212, 22398, 1207, 861, 967, 803, 2353, 8097, 16, 374, 22934, 485, 2594, 289, 34584, 19137, 14267, 898, 11103, 2626, 349, 13878, 16, 745, 3696, 2626, 18747, 282, 31692, 334, 3025, 1175, 18, 18747, 11179, 15246, 1211, 282, 14613, 17664, 1356, 289, 12201, 22186, 1970, 18, 365, 3998, 3598, 282, 45072, 18137, 10162, 24042, 15269, 779, 6067, 16, 1029, 6604, 1812, 282, 18995, 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 ]
[ 1299, 11596, 289, 541, 1660, 697, 7345, 530, 281, 13092, 43319, 9154, 5433, 510, 9321, 38029, 323, 18, 9873, 978, 16, 9916, 2016, 906, 7107, 8991, 16, 374, 282, 970, 575, 27354, 19356, 14965, 31680, 309, 12843, 6718, 18, 38029, 323, 16926, 46718, 30701, 2466, 2533, 289, 282, 3206, 3494, 17, 23189, 1748, 28350, 18, 365, 4301, 7811, 349, 28741, 286, 468, 7975, 6780, 678, 46360, 541, 1129, 478, 18665, 14573, 10764, 2234, 3672, 282, 19356, 910, 2834, 9935, 3111, 281, 9154, 687, 309, 40357, 18, 478, 21126, 282, 3206, 2523, 1109, 16, 374, 322, 7281, 20203, 5075, 16, 2197, 7559, 572, 2016, 2323, 16, 374, 505, 38429, 18, 629, 2323, 510, 481, 6935, 20423, 1743, 18, 999, 10168, 30701, 4368, 6730, 281, 9154, 281, 5732, 1963, 387, 7682, 6546, 4942, 309, 3610, 25556, 910, 510, 8977, 38029, 323, 18, 439, 349, 8225, 14769, 16, 7415, 16, 29559, 18624, 2804, 541, 2533, 16, 9321, 678, 18, 4756, 38029, 323, 4893, 45955, 8014, 455, 3714, 16275, 6816, 608, 23226, 1624, 1029, 16, 334, 722, 4734, 16, 1011, 9764, 1195, 18952, 25937, 31766, 496, 528, 18440, 13432, 322, 29608, 13839, 8362, 289, 25467, 349, 8156, 18, 478, 11227, 703, 608, 19554, 510, 14827, 45573, 18, 981, 16, 492, 28192, 634, 45635, 35406, 16, 492, 1623, 3356, 5325, 1634, 8916, 523, 16, 515, 492, 45573, 18, 45368, 309, 1177, 1702, 9851, 16, 492, 757, 309, 1992, 2309, 2023, 478, 47944, 4862, 24450, 515, 978, 322, 3404, 18, 889, 1696, 322, 1139, 19167, 297, 18, 5093, 4417, 42826, 282, 23323, 7871, 10381, 2023, 1177, 19167, 297, 16, 515, 492, 1574, 39798, 322, 2397, 910, 510, 10624, 4364, 38029, 323, 18347, 5792, 18, 15193, 265, 4504, 415, 39628, 17, 1140, 25074, 473, 630, 39628, 16, 25497, 12201, 46602, 16, 32587, 282, 1175, 13, 289, 722, 13764, 510, 9963, 26458, 13466, 26726, 289, 35111, 1034, 809, 14646, 510, 9466, 25108, 477, 1963, 22516, 9421, 11345, 2793, 16, 8448, 4568, 23603, 16, 3725, 1582, 17391, 309, 4862, 18, 1606, 15833, 7807, 624, 46602, 567, 808, 2793, 16, 3057, 16, 47941, 2127, 1126, 1427, 510, 33462, 10076, 40019, 477, 1963, 12201, 46602, 282, 12200, 1045, 18, 824, 3761, 27591, 16, 1655, 9100, 360, 8653, 519, 3417, 4500, 18, 1135, 18, 365, 2343, 2801, 779, 27414, 1551, 1175, 13749, 17664, 16458, 15740, 478, 14745, 19767, 22998, 3384, 10169, 470, 289, 31544, 722, 5998, 309, 2923, 2553, 18, 20672, 13466, 8604, 685, 3348, 411, 10235, 10762, 2632, 6143, 45620, 22998, 1873, 4257, 473, 1140, 25074, 934, 5173, 1754, 18147, 22874, 13521, 349, 20638, 2665, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 1628, 616, 14130, 18747, 6118, 4137, 32543, 22533, 2815, 16, 374, 309, 15258, 1212, 289, 37704, 1212, 24643, 27810, 20889, 38413, 309, 9482, 2407, 5910, 12201, 47267, 13752, 18, 2949, 924, 16, 18347, 478, 293, 4571, 287, 9472, 1924, 3402, 470, 42502, 46839, 282, 4599, 2954, 1175, 16, 9940, 343, 1587, 12127, 18, 3771, 2986, 13344, 530, 289, 3038, 2625, 567, 7467, 4695, 309, 9482, 2665, 18, 31224, 30, 38960, 1923, 12201, 47267, 13752, 289, 22186, 1970, 334, 17, 6093, 1747, 20982, 22585, 309, 9482, 1175, 510, 3433, 20889, 27810, 16, 2815, 5037, 14250, 416, 5119, 18747, 6118, 4137, 32543, 22533, 18, 985, 3110, 391, 26448, 477, 7755, 309, 1694, 11809, 16, 24278, 2324, 448, 3463, 281, 3989, 7773, 45947, 1698, 22473, 9868, 38413, 282, 14613, 289, 28786, 1767, 18, 22568, 309, 13078, 2665, 289, 1175, 5702, 478, 19696, 12549, 1734, 861, 2949, 924, 16, 18347, 478, 293, 4571, 287, 9472, 1924, 3402, 470, 12530, 22473, 15734, 5643, 3193, 282, 4599, 9940, 343, 1587, 28999, 12127, 11854, 18, 824, 3163, 11809, 32543, 41116, 16, 18347, 3125, 28086, 289, 14250, 1157, 12596, 965, 281, 30571, 2407, 43769, 2911, 16, 13344, 530, 289, 2669, 478, 10004, 13711, 1245, 3038, 2625, 470, 282, 5505, 2557, 309, 9482, 2665, 16, 3110, 727, 4742, 18, 3695, 3598, 4786, 47267, 13752, 17, 28845, 1214, 2632, 906, 8664, 2773, 289, 12860, 35529, 2819, 798, 19716, 18747, 282, 14613, 18, 824, 3761, 16986, 12971, 16891, 473, 3127, 43122, 13, 18747, 16, 4786, 906, 15622, 28542, 15472, 20691, 23111, 13392, 2665, 6420, 419, 5619, 25868, 364, 3583, 510, 8324, 10667, 22934, 485, 3259, 18, 25284, 290, 11184, 3463, 685, 360, 1204, 15258, 1602, 17, 46816, 1703, 3125, 414, 2922, 1895, 2503, 496, 39741, 441, 2509, 1624, 31891, 2854, 17664, 41275, 478, 780, 5847, 27790, 15258, 1602, 17, 46816, 718, 5478, 470, 473, 4354, 298, 2365, 282, 2407, 814, 1681, 1826, 454, 282, 30764, 17664, 16458, 3463, 282, 37362, 1413, 455, 39823, 3623, 2665, 18, 24195, 12464, 15607, 5848, 282, 14613, 8296, 5204, 1443, 16, 30494, 1279, 396, 13776, 933, 43548, 16131, 16, 367, 1038, 445, 19890, 309, 34162, 49319, 4314, 289, 6190, 2499, 14080, 4314, 11062, 554, 18, 2949, 25591, 14769, 20691, 282, 2452, 17567, 9311, 1272, 16644, 18221, 3714, 16275, 12250, 22689, 289, 9963, 6264, 18, 5223, 9900, 1262, 10469, 9271, 9902, 478, 317, 17450, 470, 8344, 16, 282, 8151, 3612, 11826, 779, 1763, 3080, 275, 7378, 1082, 281, 478, 28465, 4325, 1080, 29096, 401, 470, 914, 15258, 718, 44560, 1232, 625, 3905, 326, 5714, 332, 3583, 1624, 5358, 2989, 282, 8156, 46948, 427, 25088, 281, 9609, 18, 365, 1312, 43122, 18747, 16170, 16, 374, 349, 10168, 31935, 14492, 309, 2923, 11007, 22308, 3463, 26729, 42847, 48318, 6524, 9654, 334, 4843, 16041, 9017, 18, 365, 12335, 16642, 779, 16, 5130, 282, 23032, 1312, 43122, 16, 8811, 18747, 387, 31505, 2236, 411, 3714, 35223, 510, 9963, 6264, 18, 17135, 6367, 3463, 5709, 1007, 5034, 448, 1101, 289, 1768, 1604, 11646, 5072, 48236, 451, 11923, 18, 3727, 10474, 476, 513, 8324, 303, 22934, 7656, 4434, 4973, 334, 7705, 478, 44511, 3228, 17664, 28651, 15948, 289, 834, 3951, 343, 1562, 282, 5998, 17664, 28651, 15948, 910, 367, 282, 4599, 1949, 3714, 35223, 510, 9963, 6264, 289, 34584, 3340, 510, 7301, 1007, 5034, 448, 1101, 334, 7705, 478, 1140, 31236, 282, 17664, 285, 1212, 22398, 1207, 861, 967, 803, 2353, 8097, 16, 374, 22934, 485, 2594, 289, 34584, 19137, 14267, 898, 11103, 2626, 349, 13878, 16, 745, 3696, 2626, 18747, 282, 31692, 334, 3025, 1175, 18, 18747, 11179, 15246, 1211, 282, 14613, 17664, 1356, 289, 12201, 22186, 1970, 18, 365, 3998, 3598, 282, 45072, 18137, 10162, 24042, 15269, 779, 6067, 16, 1029, 6604, 1812, 282, 18995, 282 ]
[ 26755, 3320, 478, 1916, 511, 296, 1600, 17, 789, 1408, 312, 269, 3766, 17, 732, 3497, 353, 470, 473, 4354, 298, 8991, 282, 2407, 814, 824, 10009, 25364, 11138, 6052, 19716, 685, 34807, 46026, 16, 45058, 289, 9884, 35100, 17664, 41566, 23309, 16, 5574, 27707, 13858, 26755, 18951, 478, 1916, 511, 296, 1600, 17, 789, 1408, 312, 269, 910, 367, 1038, 38810, 5643, 18443, 382, 289, 23767, 3674, 2630, 18, 365, 3998, 3750, 11826, 779, 18747, 40623, 36054, 6573, 37728, 18473, 2665, 27585, 30110, 2895, 405, 1624, 41629, 282, 30416, 452, 282, 4356, 26729, 18, 640, 6567, 2244, 33043, 28286, 4750, 16, 428, 30110, 2895, 405, 9733, 15989, 282, 5127, 12827, 16, 515, 282, 1177, 2083, 294, 3130, 48841, 9961, 8811, 18747, 282, 634, 6784, 289, 15246, 1867, 18, 365, 4599, 30110, 2895, 405, 639, 5709, 1569, 11969, 1743, 334, 7705, 4055, 26, 11828, 2407, 478, 1464, 11562, 313, 910, 10663, 15305, 49660, 8124, 23424, 519, 1939, 986, 18, 365, 3998, 16952, 7847, 779, 3197, 18104, 13518, 3623, 44872, 282, 30562, 23852, 1949, 11854, 16, 30650, 282, 30416, 452, 282, 4356, 2665, 289, 1087, 40676, 263, 510, 15803, 40977, 1724, 401, 289, 33526, 16920, 22664, 1015, 272, 18, 824, 3761, 1312, 43122, 18747, 16, 5688, 3359, 4322, 12737, 282, 25982, 31883, 1333, 1175, 16, 505, 7417, 1162, 2301, 906, 2673, 1353, 345, 8087, 309, 2923, 11007, 18, 824, 3163, 39877, 16, 37852, 448, 5842, 22186, 2899, 36385, 289, 3012, 1166, 33492, 26205, 395, 478, 3008, 1074, 1733, 28999, 20362, 8915, 290, 3416, 10247, 289, 27703, 35481, 718, 11604, 861, 365, 8151, 4238, 7847, 779, 8811, 18747, 18137, 4055, 17, 11884, 9361, 1887, 14769, 25099, 16, 8380, 1352, 16, 334, 7475, 14160, 16, 294, 48684, 1861, 1147, 6561, 552, 15099, 478, 563, 23345, 1636, 37472, 470, 3900, 10763, 20226, 382, 12967, 7225, 2665, 18, 365, 4542, 33691, 5688, 3359, 14403, 16, 374, 15464, 282, 18247, 14512, 478, 4248, 272, 4314, 30382, 7868, 8312, 289, 26594, 17213, 470, 309, 2923, 47994, 16428, 16391, 8193, 16, 367, 1038, 282, 28786, 289, 39531, 17347, 1175, 18, 4862, 321, 13639, 3064, 19631, 26234, 17213, 16, 2223, 26234, 6814, 8308, 45174, 289, 6233, 16, 697, 20885, 16, 367, 1038, 18752, 37564, 320, 289, 2544, 5618, 17, 26376, 37292, 432, 12153, 18, 1034, 11562, 5658, 5019, 418, 2869, 349, 14536, 1175, 289, 29184, 975, 30546, 309, 9482, 2407, 23424, 309, 1533, 986, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 4782, 1055, 322, 41631, 22543, 282, 3187, 2234, 5549, 18, 28978, 7363, 37816, 12459, 48912, 282, 11946, 309, 10704, 4534, 17, 12840, 1974, 281, 26031, 18457, 4495, 4118, 21758, 628, 281, 15003, 718, 25088, 18, 19619, 5284, 12412, 840, 17782, 309, 4038, 12762, 3230, 14471, 16, 367, 14394, 30880, 840, 3215, 20213, 18, 31224, 30, 677, 10882, 15142, 13780, 21159, 309, 14146, 16, 16379, 19544, 1033, 14096, 448, 37816, 12459, 289, 309, 37849, 4534, 17, 12840, 8785, 448, 13535, 322, 6245, 3231, 4668, 22, 655, 24, 5448, 385, 16, 334, 1767, 840, 519, 4668, 25, 5448, 385, 18, 1416, 420, 2607, 17395, 322, 5352, 24468, 30, 428, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 282, 11147, 840, 9871, 10812, 315, 16, 10222, 11511, 289, 17119, 42407, 8889, 18, 10655, 4133, 2549, 539, 11440, 282, 3765, 281, 2845, 2203, 309, 11877, 764, 2500, 2961, 267, 847, 16, 367, 281, 39067, 27766, 14145, 14583, 289, 9139, 847, 294, 35209, 7713, 277, 282, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 16741, 3187, 2234, 5549, 36570, 424, 7957, 3806, 11972, 15969, 16, 1029, 10232, 282, 7522, 281, 9265, 17, 431, 6372, 289, 281, 29776, 18, 817, 24859, 282, 5344, 1137, 4368, 22961, 16, 515, 14394, 30880, 840, 4179, 14189, 18, 640, 16907, 547, 8011, 23337, 434, 13223, 12412, 322, 840, 20577, 506, 17372, 18, 365, 11877, 5426, 1556, 818, 382, 24102, 49634, 26968, 1886, 519, 651, 23, 655, 15, 22, 5448, 385, 16, 367, 7760, 3545, 2597, 298, 484, 519, 4668, 22, 655, 24, 5448, 385, 18, 10655, 4133, 2549, 539, 11440, 14481, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 3765, 281, 9671, 276, 309, 11084, 12412, 334, 45142, 14481, 651, 23, 655, 15, 22, 5448, 385, 16, 367, 7760, 4668, 22, 655, 24, 5448, 385, 18, 10655, 4133, 2549, 539, 11440, 840, 10952, 23, 6322, 941, 266, 18, 422, 18, 10477, 2794, 30880, 322, 19988, 16, 515, 411, 17, 431, 7773, 40106, 7097, 17119, 1747, 41558, 1954, 311, 1000, 318, 289, 4629, 31735, 6797, 5952, 770, 33603, 16, 411, 1639, 1698, 705, 4475, 13768, 14734, 382, 16, 3848, 1223, 16, 11511, 18, 21621, 1574, 8633, 17395, 289, 309, 13420, 11056, 18, 19179, 18457, 4495, 1816, 21758, 1532, 1747, 15961, 6736, 30953, 14510, 44090, 1175, 16, 367, 1382, 11601, 13004, 2553, 840, 11392, 424, 17566, 3806, 11972, 15969, 18, 967, 803, 3187, 2234, 5549, 16, 428, 289, 475, 6156, 448, 21457, 16, 12146, 282, 14250, 416, 10717, 1251, 5211, 758, 18457, 435, 2535, 289, 1382, 13402, 3806, 377, 7515, 1305, 18, 967, 4884, 12996, 23337, 432, 13484, 4328, 23337, 434, 13223, 3085, 9496, 16907, 536, 18, 365, 3998, 5576, 11440, 14481, 10952, 22, 384, 8564, 23, 6322, 941, 266, 18, 422, 2211, 367, 281, 16838, 5576, 2961, 267, 847, 519, 1409, 8042, 6322, 941, 266, 18, 422, 18, 49277, 622, 30880, 8633, 6327, 267, 2063, 16, 1830, 282, 12165, 4701, 16, 785, 23337, 536, 4683, 2675, 9553, 29469, 2159, 7957, 281, 27637, 16, 322, 5285, 4633, 13768, 34049, 18, 365, 10666, 840, 1137, 695, 16, 12412, 5426, 2239, 655, 443, 23, 5448, 385, 16, 367, 7760, 2239, 5448, 655, 15, 23, 5448, 385, 18, 365, 34905, 289, 12850, 564, 7258, 28648, 15848, 18, 1591, 12241, 3085, 9496, 1137, 5090, 18, 27247, 1556, 818, 382, 24102, 49634, 26968, 1886, 519, 651, 21, 655, 15, 22, 5448, 385, 16, 367, 7760, 10585, 4716, 519, 4668, 21, 655, 23, 5448, 385, 18, 365, 9937, 16, 11946, 289, 10882, 3085, 9496, 3433, 575, 12412, 18, 365, 8651, 16741, 16, 785, 14145, 19544, 1033, 18054, 3545, 411, 33957, 14297, 16766, 289, 411, 16899, 16, 14394, 7466, 4083, 7636, 847, 16, 282, 1137, 1165, 22362, 15971, 276, 289, 349, 2948, 978, 5426, 13535, 1698, 12998, 21778, 309, 4038, 12762, 18, 365, 3765, 309, 11877, 19988, 651, 22, 655, 20, 5448, 385, 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 ]
[ 26755, 3320, 478, 1916, 511, 296, 1600, 17, 789, 1408, 312, 269, 3766, 17, 732, 3497, 353, 470, 473, 4354, 298, 8991, 282, 2407, 814, 824, 10009, 25364, 11138, 6052, 19716, 685, 34807, 46026, 16, 45058, 289, 9884, 35100, 17664, 41566, 23309, 16, 5574, 27707, 13858, 26755, 18951, 478, 1916, 511, 296, 1600, 17, 789, 1408, 312, 269, 910, 367, 1038, 38810, 5643, 18443, 382, 289, 23767, 3674, 2630, 18, 365, 3998, 3750, 11826, 779, 18747, 40623, 36054, 6573, 37728, 18473, 2665, 27585, 30110, 2895, 405, 1624, 41629, 282, 30416, 452, 282, 4356, 26729, 18, 640, 6567, 2244, 33043, 28286, 4750, 16, 428, 30110, 2895, 405, 9733, 15989, 282, 5127, 12827, 16, 515, 282, 1177, 2083, 294, 3130, 48841, 9961, 8811, 18747, 282, 634, 6784, 289, 15246, 1867, 18, 365, 4599, 30110, 2895, 405, 639, 5709, 1569, 11969, 1743, 334, 7705, 4055, 26, 11828, 2407, 478, 1464, 11562, 313, 910, 10663, 15305, 49660, 8124, 23424, 519, 1939, 986, 18, 365, 3998, 16952, 7847, 779, 3197, 18104, 13518, 3623, 44872, 282, 30562, 23852, 1949, 11854, 16, 30650, 282, 30416, 452, 282, 4356, 2665, 289, 1087, 40676, 263, 510, 15803, 40977, 1724, 401, 289, 33526, 16920, 22664, 1015, 272, 18, 824, 3761, 1312, 43122, 18747, 16, 5688, 3359, 4322, 12737, 282, 25982, 31883, 1333, 1175, 16, 505, 7417, 1162, 2301, 906, 2673, 1353, 345, 8087, 309, 2923, 11007, 18, 824, 3163, 39877, 16, 37852, 448, 5842, 22186, 2899, 36385, 289, 3012, 1166, 33492, 26205, 395, 478, 3008, 1074, 1733, 28999, 20362, 8915, 290, 3416, 10247, 289, 27703, 35481, 718, 11604, 861, 365, 8151, 4238, 7847, 779, 8811, 18747, 18137, 4055, 17, 11884, 9361, 1887, 14769, 25099, 16, 8380, 1352, 16, 334, 7475, 14160, 16, 294, 48684, 1861, 1147, 6561, 552, 15099, 478, 563, 23345, 1636, 37472, 470, 3900, 10763, 20226, 382, 12967, 7225, 2665, 18, 365, 4542, 33691, 5688, 3359, 14403, 16, 374, 15464, 282, 18247, 14512, 478, 4248, 272, 4314, 30382, 7868, 8312, 289, 26594, 17213, 470, 309, 2923, 47994, 16428, 16391, 8193, 16, 367, 1038, 282, 28786, 289, 39531, 17347, 1175, 18, 4862, 321, 13639, 3064, 19631, 26234, 17213, 16, 2223, 26234, 6814, 8308, 45174, 289, 6233, 16, 697, 20885, 16, 367, 1038, 18752, 37564, 320, 289, 2544, 5618, 17, 26376, 37292, 432, 12153, 18, 1034, 11562, 5658, 5019, 418, 2869, 349, 14536, 1175, 289, 29184, 975, 30546, 309, 9482, 2407, 23424, 309, 1533, 986, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 4782, 1055, 322, 41631, 22543, 282, 3187, 2234, 5549, 18, 28978, 7363, 37816, 12459, 48912, 282, 11946, 309, 10704, 4534, 17, 12840, 1974, 281, 26031, 18457, 4495, 4118, 21758, 628, 281, 15003, 718, 25088, 18, 19619, 5284, 12412, 840, 17782, 309, 4038, 12762, 3230, 14471, 16, 367, 14394, 30880, 840, 3215, 20213, 18, 31224, 30, 677, 10882, 15142, 13780, 21159, 309, 14146, 16, 16379, 19544, 1033, 14096, 448, 37816, 12459, 289, 309, 37849, 4534, 17, 12840, 8785, 448, 13535, 322, 6245, 3231, 4668, 22, 655, 24, 5448, 385, 16, 334, 1767, 840, 519, 4668, 25, 5448, 385, 18, 1416, 420, 2607, 17395, 322, 5352, 24468, 30, 428, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 282, 11147, 840, 9871, 10812, 315, 16, 10222, 11511, 289, 17119, 42407, 8889, 18, 10655, 4133, 2549, 539, 11440, 282, 3765, 281, 2845, 2203, 309, 11877, 764, 2500, 2961, 267, 847, 16, 367, 281, 39067, 27766, 14145, 14583, 289, 9139, 847, 294, 35209, 7713, 277, 282, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 16741, 3187, 2234, 5549, 36570, 424, 7957, 3806, 11972, 15969, 16, 1029, 10232, 282, 7522, 281, 9265, 17, 431, 6372, 289, 281, 29776, 18, 817, 24859, 282, 5344, 1137, 4368, 22961, 16, 515, 14394, 30880, 840, 4179, 14189, 18, 640, 16907, 547, 8011, 23337, 434, 13223, 12412, 322, 840, 20577, 506, 17372, 18, 365, 11877, 5426, 1556, 818, 382, 24102, 49634, 26968, 1886, 519, 651, 23, 655, 15, 22, 5448, 385, 16, 367, 7760, 3545, 2597, 298, 484, 519, 4668, 22, 655, 24, 5448, 385, 18, 10655, 4133, 2549, 539, 11440, 14481, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 3765, 281, 9671, 276, 309, 11084, 12412, 334, 45142, 14481, 651, 23, 655, 15, 22, 5448, 385, 16, 367, 7760, 4668, 22, 655, 24, 5448, 385, 18, 10655, 4133, 2549, 539, 11440, 840, 10952, 23, 6322, 941, 266, 18, 422, 18, 10477, 2794, 30880, 322, 19988, 16, 515, 411, 17, 431, 7773, 40106, 7097, 17119, 1747, 41558, 1954, 311, 1000, 318, 289, 4629, 31735, 6797, 5952, 770, 33603, 16, 411, 1639, 1698, 705, 4475, 13768, 14734, 382, 16, 3848, 1223, 16, 11511, 18, 21621, 1574, 8633, 17395, 289, 309, 13420, 11056, 18, 19179, 18457, 4495, 1816, 21758, 1532, 1747, 15961, 6736, 30953, 14510, 44090, 1175, 16, 367, 1382, 11601, 13004, 2553, 840, 11392, 424, 17566, 3806, 11972, 15969, 18, 967, 803, 3187, 2234, 5549, 16, 428, 289, 475, 6156, 448, 21457, 16, 12146, 282, 14250, 416, 10717, 1251, 5211, 758, 18457, 435, 2535, 289, 1382, 13402, 3806, 377, 7515, 1305, 18, 967, 4884, 12996, 23337, 432, 13484, 4328, 23337, 434, 13223, 3085, 9496, 16907, 536, 18, 365, 3998, 5576, 11440, 14481, 10952, 22, 384, 8564, 23, 6322, 941, 266, 18, 422, 2211, 367, 281, 16838, 5576, 2961, 267, 847, 519, 1409, 8042, 6322, 941, 266, 18, 422, 18, 49277, 622, 30880, 8633, 6327, 267, 2063, 16, 1830, 282, 12165, 4701, 16, 785, 23337, 536, 4683, 2675, 9553, 29469, 2159, 7957, 281, 27637, 16, 322, 5285, 4633, 13768, 34049, 18, 365, 10666, 840, 1137, 695, 16, 12412, 5426, 2239, 655, 443, 23, 5448, 385, 16, 367, 7760, 2239, 5448, 655, 15, 23, 5448, 385, 18, 365, 34905, 289, 12850, 564, 7258, 28648, 15848, 18, 1591, 12241, 3085, 9496, 1137, 5090, 18, 27247, 1556, 818, 382, 24102, 49634, 26968, 1886, 519, 651, 21, 655, 15, 22, 5448, 385, 16, 367, 7760, 10585, 4716, 519, 4668, 21, 655, 23, 5448, 385, 18, 365, 9937, 16, 11946, 289, 10882, 3085, 9496, 3433, 575, 12412, 18, 365, 8651, 16741, 16, 785, 14145, 19544, 1033, 18054, 3545, 411, 33957, 14297, 16766, 289, 411, 16899, 16, 14394, 7466, 4083, 7636, 847, 16, 282, 1137, 1165, 22362, 15971, 276, 289, 349, 2948, 978, 5426, 13535, 1698, 12998, 21778, 309, 4038, 12762, 18, 365, 3765, 309, 11877, 19988, 651, 22, 655, 20, 5448, 385, 16, 367 ]
[ 7760, 3545, 2597, 298, 484, 519, 2239, 655, 15, 23, 5448, 385, 18, 365, 3765, 281, 9671, 276, 309, 11084, 12412, 26968, 847, 519, 651, 23, 655, 15, 21, 5448, 385, 16, 7760, 1556, 818, 382, 24102, 49634, 10585, 4716, 519, 4668, 21, 655, 23, 5448, 385, 18, 9639, 21535, 451, 3672, 3230, 19008, 19665, 1608, 33242, 289, 2651, 5284, 840, 17782, 309, 4038, 12762, 3230, 14471, 18, 49277, 622, 30880, 8633, 6327, 267, 2063, 16, 453, 374, 16419, 309, 36216, 3304, 9406, 652, 756, 1055, 322, 6110, 18, 2876, 16, 4813, 309, 502, 374, 1743, 23517, 294, 9747, 36743, 416, 16952, 16, 17395, 3147, 11450, 12651, 1935, 6500, 3802, 670, 19046, 4120, 18, 2, 1, 87, 1456, 81, 2448, 30, 5786, 2088, 2508, 424, 13550, 15296, 39790, 309, 12013, 2422, 334, 16244, 27411, 7805, 10933, 32752, 322, 5684, 6336, 1924, 349, 3455, 282, 19843, 18, 2949, 924, 16, 428, 10050, 37777, 9680, 1175, 10618, 999, 361, 344, 526, 405, 16, 11608, 11620, 1051, 5781, 3257, 766, 1123, 291, 309, 5447, 6781, 23249, 289, 36722, 322, 37941, 519, 4319, 1326, 18, 31224, 30, 3693, 41180, 9680, 1175, 10618, 999, 361, 344, 526, 405, 3828, 290, 25784, 281, 4643, 2840, 13811, 27465, 3257, 766, 1123, 291, 282, 14109, 309, 12013, 2422, 651, 7847, 18, 824, 3163, 18380, 16, 15417, 24349, 8547, 473, 3127, 10852, 13, 322, 895, 3884, 319, 11608, 309, 27762, 364, 1254, 289, 30306, 541, 45593, 473, 6781, 1123, 289, 36722, 21658, 32049, 2919, 17781, 618, 1182, 934, 367, 32752, 322, 5684, 6336, 1901, 349, 3455, 282, 23130, 18, 478, 630, 26260, 4158, 13811, 282, 14109, 2826, 424, 11616, 18, 365, 41305, 24349, 8547, 1299, 7299, 16, 374, 329, 1129, 1003, 4135, 27592, 2874, 11608, 309, 27762, 364, 1254, 18, 11324, 16, 374, 1247, 428, 17, 299, 3219, 19976, 289, 3754, 7398, 452, 2154, 18, 12660, 7155, 453, 30, 24516, 6800, 309, 7812, 16, 515, 38017, 4458, 295, 349, 1617, 2764, 18, 1483, 6336, 1924, 541, 21658, 417, 2141, 1030, 1616, 18, 2112, 3662, 14574, 381, 803, 2504, 322, 22985, 18, 5161, 16, 2218, 11471, 46503, 35227, 5269, 1559, 5216, 27193, 36970, 950, 16, 5076, 3225, 20850, 9632, 668, 14802, 7561, 2422, 334, 16244, 27411, 7805, 18, 23656, 8193, 26454, 36089, 349, 481, 6336, 1924, 16, 515, 16, 6709, 16, 15501, 381, 803, 18, 34719, 16, 4498, 3419, 290, 9107, 4357, 37213, 298, 16, 1029, 8350, 11471, 272, 49717, 282, 33833, 4190, 16, 322, 1033, 924, 18, 365, 502, 575, 808, 16452, 32908, 478, 563, 455, 36291, 1614, 332, 3583, 470, 289, 42222, 478, 1140, 5619, 470, 12486, 18048, 16, 21677, 3215, 33041, 7005, 18, 30726, 362, 525, 6295, 289, 329, 7842, 3338, 19650, 1356, 910, 510, 24096, 1694, 999, 361, 344, 526, 405, 478, 36625, 861, 3791, 10958, 10050, 16, 374, 282, 1312, 10852, 17245, 360, 15841, 18, 2046, 7897, 5792, 282, 3320, 2815, 16, 374, 678, 1314, 2826, 23140, 19540, 16141, 18, 478, 41878, 8590, 553, 349, 34776, 282, 15243, 5071, 14958, 13573, 3257, 766, 1123, 291, 1698, 953, 6524, 4633, 282, 12838, 651, 11023, 7847, 779, 910, 510, 4848, 18290, 10195, 18, 10110, 43091, 22941, 16244, 27411, 3047, 473, 677, 1182, 8222, 13, 6370, 1034, 14005, 1520, 3828, 16, 374, 26062, 19763, 475, 5788, 5800, 773, 19134, 1011, 36599, 281, 43177, 7928, 1175, 4958, 5418, 6528, 16, 11940, 281, 3631, 3021, 309, 19843, 424, 13550, 15296, 39790, 18, 478, 25769, 7712, 47371, 5836, 282, 835, 7576, 2687, 4833, 16, 282, 24324, 18, 2787, 912, 329, 1129, 334, 3574, 395, 20458, 13550, 14764, 27411, 291, 334, 29933, 322, 639, 18, 3397, 3419, 14909, 282, 1335, 27172, 1128, 326, 3199, 16, 1586, 14575, 18, 459, 475, 510, 5071, 1952, 289, 32752, 510, 19763, 19134, 16, 6342, 4851, 44139, 3569, 15744, 18, 1178, 575, 978, 322, 14864, 16, 502, 365, 1182, 8222, 16, 8507, 16, 475, 870, 3586, 708, 35630, 18, 629, 481, 3153, 764, 519, 7561, 2422, 910, 510, 15875, 1034, 14005, 3949, 478, 730, 17, 24659, 861, 2046, 26363, 4725, 16, 374, 764, 322, 2259, 7818, 10286, 4075, 8389, 6356, 18, 21552, 7928, 1175, 8973, 4402, 348, 523, 4725, 16, 374, 505, 8967, 1038, 840, 3624, 1195, 30623, 2206, 3237, 973, 1791, 18, 478, 4348, 16590, 541, 3257, 766, 1123, 291, 4487, 1924, 2644, 16, 515, 282, 4301, 1110, 11548, 16, 961, 329, 813, 898, 18, 365, 10264, 808, 656, 40066, 16, 28415, 339, 16661, 289, 29446, 16, 428, 656, 3984, 2915, 3624, 16, 282, 970, 2875, 281, 4947, 4611, 12806, 1437, 1110, 14600, 16, 961, 745, 44144, 910, 510, 2815, 4402, 348, 523, 18, 640, 2972, 743, 2529, 282, 14109, 281, 1032, 334, 2511, 4160, 12013, 2422, 424, 13550, 15296, 39790, 19341, 667, 5781, 3257, 766, 1123, 291, 16, 961, 21536, 414, 5270, 40203, 473, 314, 392, 34725, 289, 2852, 44162, 814, 12280, 8097, 16, 374, 309, 44617, 30681, 46881, 16, 988, 20925, 1175, 37999, 282, 5305, 5271, 16, 27182, 1135, 7601, 414, 1472, 2846, 21773, 18, 5181, 16, 1871, 411, 1129, 898, 14742, 21717, 18, 18098, 574, 5793, 19702, 282, 14109, 2756, 5640, 13083, 1042, 282, 17936, 8909, 4414, 440, 321, 273, 1414, 18, 24605, 1756, 10398, 35227, 5269, 19425, 4210, 37055, 39273, 473, 636, 297, 309, 22651, 308, 281, 4316, 7286, 353, 934, 16095, 378, 1368, 2931, 473, 277, 871, 564, 1030, 4970, 934, 4210, 46156, 348, 29078, 473, 490, 27181, 309, 1939, 4017, 13, 289, 36126, 10051, 5461, 473, 48919, 7840, 282, 21955, 814, 1598, 17, 431, 12314, 1378, 309, 4909, 1066, 13951, 870, 32752, 28003, 282, 13550, 41042, 31964, 18, 2949, 924, 16, 5938, 48537, 1147, 29745, 519, 14452, 11681, 1508, 17781, 618, 1182, 16, 27411, 395, 289, 14218, 2854, 697, 17540, 567, 808, 7561, 2422, 639, 16753, 48516, 32345, 5244, 16, 12632, 289, 5267, 1175, 309, 6449, 6718, 16, 367, 1038, 29242, 2553, 670, 3591, 2107, 12501, 6492, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 1943, 8940, 16, 1747, 520, 2145, 1103, 21028, 8183, 21649, 680, 25514, 15154, 18, 45633, 14782, 29159, 454, 30863, 4696, 38622, 680, 8193, 282, 7544, 309, 49716, 8698, 2095, 1217, 2376, 616, 933, 13951, 18, 985, 15833, 23377, 294, 4377, 825, 8744, 13156 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7760, 3545, 2597, 298, 484, 519, 2239, 655, 15, 23, 5448, 385, 18, 365, 3765, 281, 9671, 276, 309, 11084, 12412, 26968, 847, 519, 651, 23, 655, 15, 21, 5448, 385, 16, 7760, 1556, 818, 382, 24102, 49634, 10585, 4716, 519, 4668, 21, 655, 23, 5448, 385, 18, 9639, 21535, 451, 3672, 3230, 19008, 19665, 1608, 33242, 289, 2651, 5284, 840, 17782, 309, 4038, 12762, 3230, 14471, 18, 49277, 622, 30880, 8633, 6327, 267, 2063, 16, 453, 374, 16419, 309, 36216, 3304, 9406, 652, 756, 1055, 322, 6110, 18, 2876, 16, 4813, 309, 502, 374, 1743, 23517, 294, 9747, 36743, 416, 16952, 16, 17395, 3147, 11450, 12651, 1935, 6500, 3802, 670, 19046, 4120, 18, 2, 1, 87, 1456, 81, 2448, 30, 5786, 2088, 2508, 424, 13550, 15296, 39790, 309, 12013, 2422, 334, 16244, 27411, 7805, 10933, 32752, 322, 5684, 6336, 1924, 349, 3455, 282, 19843, 18, 2949, 924, 16, 428, 10050, 37777, 9680, 1175, 10618, 999, 361, 344, 526, 405, 16, 11608, 11620, 1051, 5781, 3257, 766, 1123, 291, 309, 5447, 6781, 23249, 289, 36722, 322, 37941, 519, 4319, 1326, 18, 31224, 30, 3693, 41180, 9680, 1175, 10618, 999, 361, 344, 526, 405, 3828, 290, 25784, 281, 4643, 2840, 13811, 27465, 3257, 766, 1123, 291, 282, 14109, 309, 12013, 2422, 651, 7847, 18, 824, 3163, 18380, 16, 15417, 24349, 8547, 473, 3127, 10852, 13, 322, 895, 3884, 319, 11608, 309, 27762, 364, 1254, 289, 30306, 541, 45593, 473, 6781, 1123, 289, 36722, 21658, 32049, 2919, 17781, 618, 1182, 934, 367, 32752, 322, 5684, 6336, 1901, 349, 3455, 282, 23130, 18, 478, 630, 26260, 4158, 13811, 282, 14109, 2826, 424, 11616, 18, 365, 41305, 24349, 8547, 1299, 7299, 16, 374, 329, 1129, 1003, 4135, 27592, 2874, 11608, 309, 27762, 364, 1254, 18, 11324, 16, 374, 1247, 428, 17, 299, 3219, 19976, 289, 3754, 7398, 452, 2154, 18, 12660, 7155, 453, 30, 24516, 6800, 309, 7812, 16, 515, 38017, 4458, 295, 349, 1617, 2764, 18, 1483, 6336, 1924, 541, 21658, 417, 2141, 1030, 1616, 18, 2112, 3662, 14574, 381, 803, 2504, 322, 22985, 18, 5161, 16, 2218, 11471, 46503, 35227, 5269, 1559, 5216, 27193, 36970, 950, 16, 5076, 3225, 20850, 9632, 668, 14802, 7561, 2422, 334, 16244, 27411, 7805, 18, 23656, 8193, 26454, 36089, 349, 481, 6336, 1924, 16, 515, 16, 6709, 16, 15501, 381, 803, 18, 34719, 16, 4498, 3419, 290, 9107, 4357, 37213, 298, 16, 1029, 8350, 11471, 272, 49717, 282, 33833, 4190, 16, 322, 1033, 924, 18, 365, 502, 575, 808, 16452, 32908, 478, 563, 455, 36291, 1614, 332, 3583, 470, 289, 42222, 478, 1140, 5619, 470, 12486, 18048, 16, 21677, 3215, 33041, 7005, 18, 30726, 362, 525, 6295, 289, 329, 7842, 3338, 19650, 1356, 910, 510, 24096, 1694, 999, 361, 344, 526, 405, 478, 36625, 861, 3791, 10958, 10050, 16, 374, 282, 1312, 10852, 17245, 360, 15841, 18, 2046, 7897, 5792, 282, 3320, 2815, 16, 374, 678, 1314, 2826, 23140, 19540, 16141, 18, 478, 41878, 8590, 553, 349, 34776, 282, 15243, 5071, 14958, 13573, 3257, 766, 1123, 291, 1698, 953, 6524, 4633, 282, 12838, 651, 11023, 7847, 779, 910, 510, 4848, 18290, 10195, 18, 10110, 43091, 22941, 16244, 27411, 3047, 473, 677, 1182, 8222, 13, 6370, 1034, 14005, 1520, 3828, 16, 374, 26062, 19763, 475, 5788, 5800, 773, 19134, 1011, 36599, 281, 43177, 7928, 1175, 4958, 5418, 6528, 16, 11940, 281, 3631, 3021, 309, 19843, 424, 13550, 15296, 39790, 18, 478, 25769, 7712, 47371, 5836, 282, 835, 7576, 2687, 4833, 16, 282, 24324, 18, 2787, 912, 329, 1129, 334, 3574, 395, 20458, 13550, 14764, 27411, 291, 334, 29933, 322, 639, 18, 3397, 3419, 14909, 282, 1335, 27172, 1128, 326, 3199, 16, 1586, 14575, 18, 459, 475, 510, 5071, 1952, 289, 32752, 510, 19763, 19134, 16, 6342, 4851, 44139, 3569, 15744, 18, 1178, 575, 978, 322, 14864, 16, 502, 365, 1182, 8222, 16, 8507, 16, 475, 870, 3586, 708, 35630, 18, 629, 481, 3153, 764, 519, 7561, 2422, 910, 510, 15875, 1034, 14005, 3949, 478, 730, 17, 24659, 861, 2046, 26363, 4725, 16, 374, 764, 322, 2259, 7818, 10286, 4075, 8389, 6356, 18, 21552, 7928, 1175, 8973, 4402, 348, 523, 4725, 16, 374, 505, 8967, 1038, 840, 3624, 1195, 30623, 2206, 3237, 973, 1791, 18, 478, 4348, 16590, 541, 3257, 766, 1123, 291, 4487, 1924, 2644, 16, 515, 282, 4301, 1110, 11548, 16, 961, 329, 813, 898, 18, 365, 10264, 808, 656, 40066, 16, 28415, 339, 16661, 289, 29446, 16, 428, 656, 3984, 2915, 3624, 16, 282, 970, 2875, 281, 4947, 4611, 12806, 1437, 1110, 14600, 16, 961, 745, 44144, 910, 510, 2815, 4402, 348, 523, 18, 640, 2972, 743, 2529, 282, 14109, 281, 1032, 334, 2511, 4160, 12013, 2422, 424, 13550, 15296, 39790, 19341, 667, 5781, 3257, 766, 1123, 291, 16, 961, 21536, 414, 5270, 40203, 473, 314, 392, 34725, 289, 2852, 44162, 814, 12280, 8097, 16, 374, 309, 44617, 30681, 46881, 16, 988, 20925, 1175, 37999, 282, 5305, 5271, 16, 27182, 1135, 7601, 414, 1472, 2846, 21773, 18, 5181, 16, 1871, 411, 1129, 898, 14742, 21717, 18, 18098, 574, 5793, 19702, 282, 14109, 2756, 5640, 13083, 1042, 282, 17936, 8909, 4414, 440, 321, 273, 1414, 18, 24605, 1756, 10398, 35227, 5269, 19425, 4210, 37055, 39273, 473, 636, 297, 309, 22651, 308, 281, 4316, 7286, 353, 934, 16095, 378, 1368, 2931, 473, 277, 871, 564, 1030, 4970, 934, 4210, 46156, 348, 29078, 473, 490, 27181, 309, 1939, 4017, 13, 289, 36126, 10051, 5461, 473, 48919, 7840, 282, 21955, 814, 1598, 17, 431, 12314, 1378, 309, 4909, 1066, 13951, 870, 32752, 28003, 282, 13550, 41042, 31964, 18, 2949, 924, 16, 5938, 48537, 1147, 29745, 519, 14452, 11681, 1508, 17781, 618, 1182, 16, 27411, 395, 289, 14218, 2854, 697, 17540, 567, 808, 7561, 2422, 639, 16753, 48516, 32345, 5244, 16, 12632, 289, 5267, 1175, 309, 6449, 6718, 16, 367, 1038, 29242, 2553, 670, 3591, 2107, 12501, 6492, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 1943, 8940, 16, 1747, 520, 2145, 1103, 21028, 8183, 21649, 680, 25514, 15154, 18, 45633, 14782, 29159, 454, 30863, 4696, 38622, 680, 8193, 282, 7544, 309, 49716, 8698, 2095, 1217, 2376, 616, 933, 13951, 18, 985, 15833, 23377, 294, 4377, 825, 8744, 13156 ]
[ 16, 28565, 282, 4675, 808, 9733, 8969, 28510, 18, 2046, 505, 15127, 8010, 510, 42252, 12735, 16, 515, 281, 26847, 8236, 323, 541, 2145, 18, 31224, 30, 22681, 2145, 36176, 28565, 1912, 3612, 1943, 28114, 3003, 16, 3014, 520, 11173, 28376, 8969, 8711, 668, 28510, 281, 45914, 18, 9668, 23127, 1642, 1943, 2048, 481, 1011, 19934, 281, 28343, 31279, 304, 18, 365, 12354, 7847, 779, 20664, 2145, 4424, 12002, 16, 374, 22050, 322, 19912, 1209, 8468, 11418, 289, 867, 3818, 7997, 925, 26423, 541, 19899, 8410, 4466, 281, 38622, 680, 7135, 761, 18, 28565, 4263, 28343, 11919, 1183, 277, 5259, 2868, 541, 11806, 15154, 18, 43017, 16, 282, 1423, 3678, 16, 4263, 2678, 21935, 2145, 28114, 41229, 3003, 334, 1335, 23652, 18, 36754, 1273, 41753, 18381, 477, 7755, 309, 13156, 282, 6937, 4830, 2145, 5301, 16, 374, 4770, 16, 3848, 1223, 16, 3085, 3213, 8711, 668, 28510, 309, 28531, 2849, 18, 999, 24575, 11418, 23054, 5037, 1087, 476, 513, 15822, 267, 457, 364, 3327, 2612, 1624, 367, 1038, 22294, 4830, 334, 20280, 3623, 2145, 6118, 29825, 1359, 4048, 28959, 1624, 961, 16, 294, 15695, 16, 2702, 23721, 49863, 334, 8823, 294, 49528, 282, 1782, 21358, 404, 18, 1268, 41809, 4830, 2145, 294, 3453, 1692, 582, 1038, 3665, 18, 817, 18701, 722, 45778, 764, 567, 808, 27803, 416, 14016, 289, 5273, 16, 374, 12735, 1381, 26581, 18, 30550, 343, 16, 1586, 906, 5897, 798, 1251, 45914, 16, 2145, 16, 9609, 16, 31469, 16, 44731, 16, 8579, 5885, 289, 38979, 16, 27651, 29159, 454, 21649, 680, 25514, 4696, 282, 7544, 309, 24695, 10695, 1070, 12672, 6341, 5355, 10342, 18, 22319, 11350, 17, 40000, 17917, 343, 32870, 1624, 1754, 3225, 9422, 11418, 281, 45914, 16, 42883, 28510, 28268, 9985, 5855, 25771, 16, 1586, 8524, 3601, 17644, 883, 19205, 360, 28481, 11220, 18, 2046, 2301, 16062, 1275, 282, 15727, 34766, 5273, 16, 374, 28510, 1513, 827, 322, 8097, 16, 502, 38487, 18, 1606, 6696, 19519, 282, 1710, 3038, 18924, 360, 4981, 37328, 23535, 8187, 16, 367, 1038, 8434, 13095, 1901, 19276, 933, 19053, 4528, 520, 1736, 680, 478, 1916, 501, 11142, 1018, 470, 1624, 7556, 37299, 309, 13078, 281, 7596, 36514, 18, 365, 1423, 3678, 16, 25850, 2553, 23054, 1279, 28361, 2973, 15154, 18, 9668, 11896, 5306, 33308, 3852, 49084, 18519, 2145, 13880, 8711, 668, 28510, 281, 45914, 428, 21525, 1247, 289, 25597, 749, 37897, 382, 281, 26957, 334, 37328, 400, 4118, 8187, 395, 289, 5703, 1335, 2553, 282, 38773, 7423, 16, 3110, 21408, 18, 478, 4348, 2125, 2928, 990, 702, 360, 2803, 1272, 41216, 30, 8711, 668, 28510, 281, 45914, 289, 4119, 16, 2588, 1542, 8768, 9988, 282, 9804, 910, 510, 1109, 49084, 16, 30543, 1188, 1324, 2607, 477, 3319, 26696, 411, 18924, 16, 10676, 16, 5670, 289, 18813, 20144, 49808, 5819, 1633, 761, 12020, 1633, 307, 18, 35985, 536, 4683, 496, 281, 4789, 3334, 17986, 23054, 1038, 9807, 289, 3771, 18, 640, 1335, 11056, 282, 3507, 7801, 4765, 1251, 5037, 353, 32975, 408, 36193, 18924, 47635, 429, 3663, 9783, 342, 3663, 999, 312, 14770, 289, 1175, 33411, 11785, 22495, 18, 6592, 32477, 11896, 1175, 334, 8872, 5790, 16, 360, 4111, 11418, 478, 50168, 8015, 2153, 2043, 390, 26209, 13858, 289, 32331, 3623, 289, 28674, 16, 31134, 2098, 2269, 309, 1269, 5954, 1608, 4783, 1751, 282, 6491, 28481, 322, 13077, 37820, 427, 861, 985, 10050, 8942, 421, 12039, 7641, 1624, 12987, 282, 1767, 13858, 3623, 7947, 421, 511, 375, 1624, 478, 348, 23415, 811, 19924, 1251, 24630, 2368, 289, 36855, 34031, 861, 824, 4734, 21961, 478, 32485, 18, 8381, 910, 827, 28565, 10222, 309, 9650, 272, 15154, 16, 481, 2921, 341, 424, 1247, 1992, 3672, 322, 13077, 37820, 427, 28481, 6617, 428, 8396, 309, 1514, 31930, 15939, 18, 421, 511, 375, 5273, 16, 374, 282, 1335, 4096, 942, 5848, 36584, 281, 39000, 2145, 289, 1175, 334, 8187, 395, 11924, 289, 25312, 48108, 473, 25948, 780, 822, 934, 281, 2736, 2024, 895, 7869, 294, 37644, 293, 1508, 1209, 7842, 30483, 17, 14210, 933, 37949, 27480, 18, 4712, 1368, 1157, 17926, 15154, 30937, 16, 374, 282, 3178, 1533, 17, 3114, 986, 329, 18924, 322, 840, 3775, 11670, 8711, 539, 5472, 510, 481, 27415, 8485, 4846, 34931, 309, 31930, 15939, 18, 4988, 281, 2736, 16684, 4676, 15444, 1330, 282, 3948, 24168, 41470, 16400, 18, 7249, 309, 502, 374, 2145, 9600, 23817, 1423, 10839, 334, 1692, 582, 281, 45914, 1279, 7405, 1209, 7842, 12525, 16, 22154, 481, 322, 38196, 18, 48733, 23127, 1642, 281, 4789, 3334, 45649, 942, 7818, 15444, 758, 16, 367, 9807, 289, 6551, 28565, 7316, 282, 6656, 478, 298, 420, 848, 2603, 21456, 31726, 910, 961, 12530, 8830, 6571, 6579, 18, 10110, 2145, 1038, 322, 37726, 8040, 6876, 3361, 294, 3095, 825, 49528, 282, 48456, 16, 289, 567, 808, 40777, 19264, 38395, 282, 1335, 4008, 4770, 2145, 2815, 282, 8347, 13636, 16, 374, 2145, 6058, 10304, 8156, 39306, 1757, 1279, 10342, 18, 23101, 914, 12879, 925, 19167, 607, 16, 961, 898, 19196, 1279, 478, 1916, 501, 11142, 1018, 910, 367, 1038, 23872, 12724, 18924, 282, 8144, 18, 889, 17632, 3300, 23127, 1642, 16, 6881, 13156, 478, 32485, 18, 8381, 910, 23377, 294, 17234, 9985, 12096, 3098, 395, 18, 22050, 1880, 7957, 282, 8144, 322, 20037, 22154, 18, 824, 4734, 11673, 11944, 16, 481, 27268, 697, 7265, 5549, 3276, 5508, 4151, 309, 31930, 15939, 510, 7596, 34692, 289, 29376, 29058, 18, 22050, 4881, 5779, 12961, 8830, 2644, 15154, 289, 29230, 30, 8768, 11531, 1812, 3168, 11581, 11418, 16, 3229, 1223, 16, 1548, 16, 374, 481, 18662, 3453, 38622, 680, 22967, 18, 1178, 8711, 549, 36273, 37396, 17183, 16, 481, 895, 25371, 309, 6730, 3960, 18924, 289, 10695, 649, 6688, 4830, 17, 298, 1311, 1347, 5835, 17186, 5675, 6399, 307, 1624, 1029, 289, 453, 3164, 424, 3781, 2976, 304, 477, 1963, 14355, 5534, 5910, 18, 889, 895, 953, 8236, 536, 16078, 864, 18, 365, 6588, 360, 6937, 32870, 1624, 329, 20420, 11814, 23127, 1642, 1003, 17805, 26209, 935, 3953, 7069, 7080, 281, 21649, 3334, 25061, 8943, 18, 985, 4725, 282, 27561, 281, 9577, 5325, 29861, 11539, 8851, 10914, 755, 6341, 4669, 6569, 2450, 43265, 1778, 2145, 17748, 28699, 957, 16, 28565, 3848, 1223, 31704, 28510, 282, 31551, 4510, 16, 289, 329, 44922, 1858, 840, 5259, 2868, 16, 753, 15333, 12435, 1279, 18924, 670, 7146, 475, 428, 912, 18, 824, 4734, 6677, 16986, 49064, 7405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28565, 282, 4675, 808, 9733, 8969, 28510, 18, 2046, 505, 15127, 8010, 510, 42252, 12735, 16, 515, 281, 26847, 8236, 323, 541, 2145, 18, 31224, 30, 22681, 2145, 36176, 28565, 1912, 3612, 1943, 28114, 3003, 16, 3014, 520, 11173, 28376, 8969, 8711, 668, 28510, 281, 45914, 18, 9668, 23127, 1642, 1943, 2048, 481, 1011, 19934, 281, 28343, 31279, 304, 18, 365, 12354, 7847, 779, 20664, 2145, 4424, 12002, 16, 374, 22050, 322, 19912, 1209, 8468, 11418, 289, 867, 3818, 7997, 925, 26423, 541, 19899, 8410, 4466, 281, 38622, 680, 7135, 761, 18, 28565, 4263, 28343, 11919, 1183, 277, 5259, 2868, 541, 11806, 15154, 18, 43017, 16, 282, 1423, 3678, 16, 4263, 2678, 21935, 2145, 28114, 41229, 3003, 334, 1335, 23652, 18, 36754, 1273, 41753, 18381, 477, 7755, 309, 13156, 282, 6937, 4830, 2145, 5301, 16, 374, 4770, 16, 3848, 1223, 16, 3085, 3213, 8711, 668, 28510, 309, 28531, 2849, 18, 999, 24575, 11418, 23054, 5037, 1087, 476, 513, 15822, 267, 457, 364, 3327, 2612, 1624, 367, 1038, 22294, 4830, 334, 20280, 3623, 2145, 6118, 29825, 1359, 4048, 28959, 1624, 961, 16, 294, 15695, 16, 2702, 23721, 49863, 334, 8823, 294, 49528, 282, 1782, 21358, 404, 18, 1268, 41809, 4830, 2145, 294, 3453, 1692, 582, 1038, 3665, 18, 817, 18701, 722, 45778, 764, 567, 808, 27803, 416, 14016, 289, 5273, 16, 374, 12735, 1381, 26581, 18, 30550, 343, 16, 1586, 906, 5897, 798, 1251, 45914, 16, 2145, 16, 9609, 16, 31469, 16, 44731, 16, 8579, 5885, 289, 38979, 16, 27651, 29159, 454, 21649, 680, 25514, 4696, 282, 7544, 309, 24695, 10695, 1070, 12672, 6341, 5355, 10342, 18, 22319, 11350, 17, 40000, 17917, 343, 32870, 1624, 1754, 3225, 9422, 11418, 281, 45914, 16, 42883, 28510, 28268, 9985, 5855, 25771, 16, 1586, 8524, 3601, 17644, 883, 19205, 360, 28481, 11220, 18, 2046, 2301, 16062, 1275, 282, 15727, 34766, 5273, 16, 374, 28510, 1513, 827, 322, 8097, 16, 502, 38487, 18, 1606, 6696, 19519, 282, 1710, 3038, 18924, 360, 4981, 37328, 23535, 8187, 16, 367, 1038, 8434, 13095, 1901, 19276, 933, 19053, 4528, 520, 1736, 680, 478, 1916, 501, 11142, 1018, 470, 1624, 7556, 37299, 309, 13078, 281, 7596, 36514, 18, 365, 1423, 3678, 16, 25850, 2553, 23054, 1279, 28361, 2973, 15154, 18, 9668, 11896, 5306, 33308, 3852, 49084, 18519, 2145, 13880, 8711, 668, 28510, 281, 45914, 428, 21525, 1247, 289, 25597, 749, 37897, 382, 281, 26957, 334, 37328, 400, 4118, 8187, 395, 289, 5703, 1335, 2553, 282, 38773, 7423, 16, 3110, 21408, 18, 478, 4348, 2125, 2928, 990, 702, 360, 2803, 1272, 41216, 30, 8711, 668, 28510, 281, 45914, 289, 4119, 16, 2588, 1542, 8768, 9988, 282, 9804, 910, 510, 1109, 49084, 16, 30543, 1188, 1324, 2607, 477, 3319, 26696, 411, 18924, 16, 10676, 16, 5670, 289, 18813, 20144, 49808, 5819, 1633, 761, 12020, 1633, 307, 18, 35985, 536, 4683, 496, 281, 4789, 3334, 17986, 23054, 1038, 9807, 289, 3771, 18, 640, 1335, 11056, 282, 3507, 7801, 4765, 1251, 5037, 353, 32975, 408, 36193, 18924, 47635, 429, 3663, 9783, 342, 3663, 999, 312, 14770, 289, 1175, 33411, 11785, 22495, 18, 6592, 32477, 11896, 1175, 334, 8872, 5790, 16, 360, 4111, 11418, 478, 50168, 8015, 2153, 2043, 390, 26209, 13858, 289, 32331, 3623, 289, 28674, 16, 31134, 2098, 2269, 309, 1269, 5954, 1608, 4783, 1751, 282, 6491, 28481, 322, 13077, 37820, 427, 861, 985, 10050, 8942, 421, 12039, 7641, 1624, 12987, 282, 1767, 13858, 3623, 7947, 421, 511, 375, 1624, 478, 348, 23415, 811, 19924, 1251, 24630, 2368, 289, 36855, 34031, 861, 824, 4734, 21961, 478, 32485, 18, 8381, 910, 827, 28565, 10222, 309, 9650, 272, 15154, 16, 481, 2921, 341, 424, 1247, 1992, 3672, 322, 13077, 37820, 427, 28481, 6617, 428, 8396, 309, 1514, 31930, 15939, 18, 421, 511, 375, 5273, 16, 374, 282, 1335, 4096, 942, 5848, 36584, 281, 39000, 2145, 289, 1175, 334, 8187, 395, 11924, 289, 25312, 48108, 473, 25948, 780, 822, 934, 281, 2736, 2024, 895, 7869, 294, 37644, 293, 1508, 1209, 7842, 30483, 17, 14210, 933, 37949, 27480, 18, 4712, 1368, 1157, 17926, 15154, 30937, 16, 374, 282, 3178, 1533, 17, 3114, 986, 329, 18924, 322, 840, 3775, 11670, 8711, 539, 5472, 510, 481, 27415, 8485, 4846, 34931, 309, 31930, 15939, 18, 4988, 281, 2736, 16684, 4676, 15444, 1330, 282, 3948, 24168, 41470, 16400, 18, 7249, 309, 502, 374, 2145, 9600, 23817, 1423, 10839, 334, 1692, 582, 281, 45914, 1279, 7405, 1209, 7842, 12525, 16, 22154, 481, 322, 38196, 18, 48733, 23127, 1642, 281, 4789, 3334, 45649, 942, 7818, 15444, 758, 16, 367, 9807, 289, 6551, 28565, 7316, 282, 6656, 478, 298, 420, 848, 2603, 21456, 31726, 910, 961, 12530, 8830, 6571, 6579, 18, 10110, 2145, 1038, 322, 37726, 8040, 6876, 3361, 294, 3095, 825, 49528, 282, 48456, 16, 289, 567, 808, 40777, 19264, 38395, 282, 1335, 4008, 4770, 2145, 2815, 282, 8347, 13636, 16, 374, 2145, 6058, 10304, 8156, 39306, 1757, 1279, 10342, 18, 23101, 914, 12879, 925, 19167, 607, 16, 961, 898, 19196, 1279, 478, 1916, 501, 11142, 1018, 910, 367, 1038, 23872, 12724, 18924, 282, 8144, 18, 889, 17632, 3300, 23127, 1642, 16, 6881, 13156, 478, 32485, 18, 8381, 910, 23377, 294, 17234, 9985, 12096, 3098, 395, 18, 22050, 1880, 7957, 282, 8144, 322, 20037, 22154, 18, 824, 4734, 11673, 11944, 16, 481, 27268, 697, 7265, 5549, 3276, 5508, 4151, 309, 31930, 15939, 510, 7596, 34692, 289, 29376, 29058, 18, 22050, 4881, 5779, 12961, 8830, 2644, 15154, 289, 29230, 30, 8768, 11531, 1812, 3168, 11581, 11418, 16, 3229, 1223, 16, 1548, 16, 374, 481, 18662, 3453, 38622, 680, 22967, 18, 1178, 8711, 549, 36273, 37396, 17183, 16, 481, 895, 25371, 309, 6730, 3960, 18924, 289, 10695, 649, 6688, 4830, 17, 298, 1311, 1347, 5835, 17186, 5675, 6399, 307, 1624, 1029, 289, 453, 3164, 424, 3781, 2976, 304, 477, 1963, 14355, 5534, 5910, 18, 889, 895, 953, 8236, 536, 16078, 864, 18, 365, 6588, 360, 6937, 32870, 1624, 329, 20420, 11814, 23127, 1642, 1003, 17805, 26209, 935, 3953, 7069, 7080, 281, 21649, 3334, 25061, 8943, 18, 985, 4725, 282, 27561, 281, 9577, 5325, 29861, 11539, 8851, 10914, 755, 6341, 4669, 6569, 2450, 43265, 1778, 2145, 17748, 28699, 957, 16, 28565, 3848, 1223, 31704, 28510, 282, 31551, 4510, 16, 289, 329, 44922, 1858, 840, 5259, 2868, 16, 753, 15333, 12435, 1279, 18924, 670, 7146, 475, 428, 912, 18, 824, 4734, 6677, 16986, 49064, 7405 ]
[ 282, 30967, 16, 9622, 13103, 11719, 632, 10829, 375, 367, 16, 478, 1567, 4553, 564, 9105, 282, 17832, 43191, 4349, 510, 939, 11473, 13052, 282, 9578, 4532, 1751, 16, 289, 28565, 481, 1904, 10219, 861, 632, 10829, 375, 5273, 16, 374, 1830, 28565, 289, 3957, 6863, 411, 9105, 492, 3957, 2048, 481, 281, 26847, 8236, 323, 30, 478, 789, 2381, 293, 3957, 9422, 26847, 32700, 323, 32054, 541, 2145, 16, 10035, 11574, 32054, 541, 965, 289, 45149, 21522, 309, 28782, 6730, 282, 48456, 18, 20670, 411, 9105, 510, 2301, 46863, 43077, 681, 1136, 31146, 289, 424, 5146, 28674, 21649, 718, 10342, 18, 4777, 11473, 1907, 18, 740, 428, 13761, 510, 1247, 22426, 453, 3847, 910, 510, 2548, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 15035, 13361, 18164, 23655, 287, 34718, 773, 18, 14932, 14954, 4944, 6735, 375, 685, 14449, 30143, 282, 37650, 464, 1715, 1912, 3763, 2791, 16, 4442, 1378, 4046, 344, 309, 38602, 341, 289, 8700, 18, 5360, 289, 505, 9195, 263, 1551, 23229, 1897, 448, 10286, 15857, 16, 515, 5930, 364, 14565, 2888, 4046, 344, 13312, 16, 367, 1038, 36089, 430, 16, 21, 3763, 2791, 36222, 18, 6735, 375, 15279, 29581, 1086, 10566, 18, 31224, 30, 677, 9937, 282, 7651, 1970, 1212, 12564, 4534, 685, 22812, 1235, 10566, 334, 6619, 290, 37650, 464, 19201, 23655, 287, 34718, 3946, 14932, 14954, 41357, 6735, 375, 225, 1116, 289, 505, 10092, 9997, 355, 3873, 31388, 6589, 4076, 15046, 10059, 18, 23569, 10137, 685, 14449, 30143, 282, 5153, 4840, 1715, 1912, 3763, 2791, 281, 11237, 12441, 434, 9047, 18, 2320, 5412, 19412, 294, 4256, 17912, 17703, 8124, 22728, 289, 6524, 464, 36222, 282, 9802, 13671, 4500, 18, 2791, 18, 2320, 10968, 9997, 306, 3873, 31388, 19137, 1551, 1038, 13749, 9353, 416, 289, 43209, 294, 2476, 628, 17912, 17703, 8124, 22728, 289, 7682, 6546, 282, 6957, 4500, 18, 2791, 18, 365, 9643, 24727, 26366, 586, 1167, 536, 44304, 17209, 1551, 4336, 364, 505, 3018, 26697, 2103, 5261, 9515, 282, 30542, 289, 36821, 3094, 23264, 13409, 23424, 309, 1272, 779, 18, 5333, 2175, 16, 785, 10566, 6750, 341, 282, 8183, 16, 502, 39476, 4128, 12848, 1595, 3059, 16, 1029, 492, 519, 4319, 1326, 9225, 18, 3791, 16044, 14001, 6818, 42305, 1263, 265, 289, 16435, 455, 26900, 9522, 36089, 1912, 3763, 2791, 23082, 16, 5568, 2198, 4046, 344, 34718, 18, 4756, 12483, 14267, 33651, 5412, 5528, 41629, 294, 7518, 17912, 15978, 7203, 10342, 1624, 367, 505, 10968, 294, 4256, 17912, 22728, 18, 365, 4542, 24807, 13516, 16044, 349, 31632, 17187, 4652, 5544, 22162, 14267, 510, 6814, 10137, 16, 961, 12002, 290, 970, 16, 374, 322, 20310, 4135, 349, 2027, 24131, 5842, 2768, 360, 26900, 9522, 18, 385, 14332, 538, 1038, 12002, 16, 374, 322, 6597, 290, 24876, 904, 4779, 12915, 16, 31976, 3873, 31388, 6589, 18, 17811, 22162, 6198, 16, 5358, 2339, 309, 5939, 586, 1167, 324, 16, 1551, 13749, 44218, 758, 16, 453, 428, 745, 8015, 4030, 14372, 3276, 3286, 12944, 16, 3761, 18629, 7768, 18, 3791, 1551, 5962, 567, 2904, 25416, 4767, 21409, 586, 1167, 324, 281, 23431, 19716, 10137, 16, 282, 1639, 17627, 5367, 14868, 322, 40570, 290, 9652, 5534, 4779, 3462, 289, 15771, 763, 4076, 18, 2112, 17147, 13516, 6735, 375, 4223, 294, 2691, 3833, 1757, 505, 16338, 18, 817, 2815, 16, 374, 322, 12557, 281, 9540, 536, 6541, 1525, 289, 9733, 29581, 1086, 3003, 282, 43788, 267, 14347, 18, 478, 45605, 16, 374, 2060, 16, 510, 417, 322, 5568, 13312, 4046, 344, 18, 1937, 417, 5053, 309, 8892, 8840, 16, 282, 15992, 47401, 4451, 890, 16, 510, 2815, 6735, 375, 18, 510, 999, 502, 808, 16, 374, 417, 17455, 8892, 8840, 10137, 16, 417, 5354, 2048, 7457, 861, 23569, 685, 7107, 2365, 867, 16, 374, 36560, 16, 334, 505, 3163, 16, 322, 10258, 7003, 668, 42637, 18, 478, 8244, 10258, 1223, 1472, 3441, 42637, 510, 48319, 30739, 30, 5345, 552, 15684, 15811, 16, 367, 678, 697, 28192, 2031, 1154, 16, 510, 11784, 1475, 6735, 375, 18, 510, 832, 639, 290, 2466, 34188, 16, 322, 639, 24492, 334, 29933, 13098, 5153, 2005, 18, 48340, 468, 9112, 24189, 309, 502, 16, 374, 8641, 309, 381, 2251, 7050, 26346, 3674, 3928, 281, 42606, 906, 3483, 2773, 17364, 16, 515, 282, 2463, 912, 6549, 381, 289, 5570, 10156, 18, 1345, 1038, 7863, 17187, 290, 349, 10739, 4135, 861, 28064, 4998, 1101, 290, 5153, 4840, 4076, 16, 4442, 1378, 309, 8700, 23655, 287, 34718, 3946, 14932, 14954, 16, 10243, 282, 10841, 4018, 779, 18, 6735, 888, 639, 49837, 22204, 334, 327, 18, 1032, 422, 18, 24095, 11828, 473, 960, 13775, 468, 670, 37650, 354, 934, 367, 505, 9195, 263, 510, 334, 327, 18, 1061, 422, 18, 11114, 16, 327, 18, 1032, 422, 18, 24095, 11828, 473, 293, 1259, 16253, 282, 37650, 464, 814, 2667, 2742, 8165, 6735, 375, 7609, 282, 17063, 1205, 289, 1421, 5196, 16, 367, 282, 11023, 4440, 779, 4223, 424, 21784, 18, 824, 7475, 14267, 16, 5590, 26900, 13928, 16, 1586, 282, 502, 808, 34745, 3059, 35065, 20921, 419, 10137, 16, 35708, 1421, 9652, 5534, 9835, 30, 7024, 478, 43090, 1162, 504, 20101, 910, 7024, 478, 8756, 766, 287, 470, 289, 7024, 478, 8756, 766, 1940, 539, 3003, 29304, 3931, 861, 365, 3998, 5021, 779, 23263, 375, 10218, 10867, 309, 2990, 12851, 9759, 40429, 281, 4046, 620, 16, 282, 1639, 3005, 12570, 41535, 9835, 18, 4149, 12282, 862, 41539, 289, 30913, 9587, 11061, 553, 16, 30467, 16, 20328, 16, 34718, 289, 2474, 451, 38602, 341, 541, 9786, 1476, 478, 2997, 49505, 807, 10527, 486, 331, 910, 478, 822, 306, 27169, 615, 2147, 910, 478, 1295, 303, 3817, 470, 289, 478, 983, 3363, 22305, 861, 36881, 309, 12846, 49410, 904, 38602, 1004, 34447, 9835, 8880, 8840, 10137, 18, 3873, 31388, 3340, 5456, 1154, 289, 5524, 455, 360, 3946, 14314, 7257, 10384, 1230, 328, 5394, 947, 712, 18, 365, 7343, 11035, 309, 12056, 22909, 23527, 1281, 16, 26, 3763, 2791, 18, 15556, 1967, 4135, 475, 17, 2767, 8093, 309, 24227, 904, 334, 28442, 289, 5456, 3707, 38602, 1004, 30, 3531, 42649, 16, 11061, 553, 289, 10363, 2036, 15654, 4046, 344, 282, 1286, 16, 25, 3763, 2791, 18, 999, 30894, 2184, 3040, 7392, 8811, 10137, 773, 18, 14932, 14954, 282, 34059, 282, 15347, 309, 14936, 1161, 17, 10269, 2843, 1941, 4625, 49343, 18, 7858, 411, 21616, 334, 5456, 3707, 34718, 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 ]
[ 282, 30967, 16, 9622, 13103, 11719, 632, 10829, 375, 367, 16, 478, 1567, 4553, 564, 9105, 282, 17832, 43191, 4349, 510, 939, 11473, 13052, 282, 9578, 4532, 1751, 16, 289, 28565, 481, 1904, 10219, 861, 632, 10829, 375, 5273, 16, 374, 1830, 28565, 289, 3957, 6863, 411, 9105, 492, 3957, 2048, 481, 281, 26847, 8236, 323, 30, 478, 789, 2381, 293, 3957, 9422, 26847, 32700, 323, 32054, 541, 2145, 16, 10035, 11574, 32054, 541, 965, 289, 45149, 21522, 309, 28782, 6730, 282, 48456, 18, 20670, 411, 9105, 510, 2301, 46863, 43077, 681, 1136, 31146, 289, 424, 5146, 28674, 21649, 718, 10342, 18, 4777, 11473, 1907, 18, 740, 428, 13761, 510, 1247, 22426, 453, 3847, 910, 510, 2548, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 15035, 13361, 18164, 23655, 287, 34718, 773, 18, 14932, 14954, 4944, 6735, 375, 685, 14449, 30143, 282, 37650, 464, 1715, 1912, 3763, 2791, 16, 4442, 1378, 4046, 344, 309, 38602, 341, 289, 8700, 18, 5360, 289, 505, 9195, 263, 1551, 23229, 1897, 448, 10286, 15857, 16, 515, 5930, 364, 14565, 2888, 4046, 344, 13312, 16, 367, 1038, 36089, 430, 16, 21, 3763, 2791, 36222, 18, 6735, 375, 15279, 29581, 1086, 10566, 18, 31224, 30, 677, 9937, 282, 7651, 1970, 1212, 12564, 4534, 685, 22812, 1235, 10566, 334, 6619, 290, 37650, 464, 19201, 23655, 287, 34718, 3946, 14932, 14954, 41357, 6735, 375, 225, 1116, 289, 505, 10092, 9997, 355, 3873, 31388, 6589, 4076, 15046, 10059, 18, 23569, 10137, 685, 14449, 30143, 282, 5153, 4840, 1715, 1912, 3763, 2791, 281, 11237, 12441, 434, 9047, 18, 2320, 5412, 19412, 294, 4256, 17912, 17703, 8124, 22728, 289, 6524, 464, 36222, 282, 9802, 13671, 4500, 18, 2791, 18, 2320, 10968, 9997, 306, 3873, 31388, 19137, 1551, 1038, 13749, 9353, 416, 289, 43209, 294, 2476, 628, 17912, 17703, 8124, 22728, 289, 7682, 6546, 282, 6957, 4500, 18, 2791, 18, 365, 9643, 24727, 26366, 586, 1167, 536, 44304, 17209, 1551, 4336, 364, 505, 3018, 26697, 2103, 5261, 9515, 282, 30542, 289, 36821, 3094, 23264, 13409, 23424, 309, 1272, 779, 18, 5333, 2175, 16, 785, 10566, 6750, 341, 282, 8183, 16, 502, 39476, 4128, 12848, 1595, 3059, 16, 1029, 492, 519, 4319, 1326, 9225, 18, 3791, 16044, 14001, 6818, 42305, 1263, 265, 289, 16435, 455, 26900, 9522, 36089, 1912, 3763, 2791, 23082, 16, 5568, 2198, 4046, 344, 34718, 18, 4756, 12483, 14267, 33651, 5412, 5528, 41629, 294, 7518, 17912, 15978, 7203, 10342, 1624, 367, 505, 10968, 294, 4256, 17912, 22728, 18, 365, 4542, 24807, 13516, 16044, 349, 31632, 17187, 4652, 5544, 22162, 14267, 510, 6814, 10137, 16, 961, 12002, 290, 970, 16, 374, 322, 20310, 4135, 349, 2027, 24131, 5842, 2768, 360, 26900, 9522, 18, 385, 14332, 538, 1038, 12002, 16, 374, 322, 6597, 290, 24876, 904, 4779, 12915, 16, 31976, 3873, 31388, 6589, 18, 17811, 22162, 6198, 16, 5358, 2339, 309, 5939, 586, 1167, 324, 16, 1551, 13749, 44218, 758, 16, 453, 428, 745, 8015, 4030, 14372, 3276, 3286, 12944, 16, 3761, 18629, 7768, 18, 3791, 1551, 5962, 567, 2904, 25416, 4767, 21409, 586, 1167, 324, 281, 23431, 19716, 10137, 16, 282, 1639, 17627, 5367, 14868, 322, 40570, 290, 9652, 5534, 4779, 3462, 289, 15771, 763, 4076, 18, 2112, 17147, 13516, 6735, 375, 4223, 294, 2691, 3833, 1757, 505, 16338, 18, 817, 2815, 16, 374, 322, 12557, 281, 9540, 536, 6541, 1525, 289, 9733, 29581, 1086, 3003, 282, 43788, 267, 14347, 18, 478, 45605, 16, 374, 2060, 16, 510, 417, 322, 5568, 13312, 4046, 344, 18, 1937, 417, 5053, 309, 8892, 8840, 16, 282, 15992, 47401, 4451, 890, 16, 510, 2815, 6735, 375, 18, 510, 999, 502, 808, 16, 374, 417, 17455, 8892, 8840, 10137, 16, 417, 5354, 2048, 7457, 861, 23569, 685, 7107, 2365, 867, 16, 374, 36560, 16, 334, 505, 3163, 16, 322, 10258, 7003, 668, 42637, 18, 478, 8244, 10258, 1223, 1472, 3441, 42637, 510, 48319, 30739, 30, 5345, 552, 15684, 15811, 16, 367, 678, 697, 28192, 2031, 1154, 16, 510, 11784, 1475, 6735, 375, 18, 510, 832, 639, 290, 2466, 34188, 16, 322, 639, 24492, 334, 29933, 13098, 5153, 2005, 18, 48340, 468, 9112, 24189, 309, 502, 16, 374, 8641, 309, 381, 2251, 7050, 26346, 3674, 3928, 281, 42606, 906, 3483, 2773, 17364, 16, 515, 282, 2463, 912, 6549, 381, 289, 5570, 10156, 18, 1345, 1038, 7863, 17187, 290, 349, 10739, 4135, 861, 28064, 4998, 1101, 290, 5153, 4840, 4076, 16, 4442, 1378, 309, 8700, 23655, 287, 34718, 3946, 14932, 14954, 16, 10243, 282, 10841, 4018, 779, 18, 6735, 888, 639, 49837, 22204, 334, 327, 18, 1032, 422, 18, 24095, 11828, 473, 960, 13775, 468, 670, 37650, 354, 934, 367, 505, 9195, 263, 510, 334, 327, 18, 1061, 422, 18, 11114, 16, 327, 18, 1032, 422, 18, 24095, 11828, 473, 293, 1259, 16253, 282, 37650, 464, 814, 2667, 2742, 8165, 6735, 375, 7609, 282, 17063, 1205, 289, 1421, 5196, 16, 367, 282, 11023, 4440, 779, 4223, 424, 21784, 18, 824, 7475, 14267, 16, 5590, 26900, 13928, 16, 1586, 282, 502, 808, 34745, 3059, 35065, 20921, 419, 10137, 16, 35708, 1421, 9652, 5534, 9835, 30, 7024, 478, 43090, 1162, 504, 20101, 910, 7024, 478, 8756, 766, 287, 470, 289, 7024, 478, 8756, 766, 1940, 539, 3003, 29304, 3931, 861, 365, 3998, 5021, 779, 23263, 375, 10218, 10867, 309, 2990, 12851, 9759, 40429, 281, 4046, 620, 16, 282, 1639, 3005, 12570, 41535, 9835, 18, 4149, 12282, 862, 41539, 289, 30913, 9587, 11061, 553, 16, 30467, 16, 20328, 16, 34718, 289, 2474, 451, 38602, 341, 541, 9786, 1476, 478, 2997, 49505, 807, 10527, 486, 331, 910, 478, 822, 306, 27169, 615, 2147, 910, 478, 1295, 303, 3817, 470, 289, 478, 983, 3363, 22305, 861, 36881, 309, 12846, 49410, 904, 38602, 1004, 34447, 9835, 8880, 8840, 10137, 18, 3873, 31388, 3340, 5456, 1154, 289, 5524, 455, 360, 3946, 14314, 7257, 10384, 1230, 328, 5394, 947, 712, 18, 365, 7343, 11035, 309, 12056, 22909, 23527, 1281, 16, 26, 3763, 2791, 18, 15556, 1967, 4135, 475, 17, 2767, 8093, 309, 24227, 904, 334, 28442, 289, 5456, 3707, 38602, 1004, 30, 3531, 42649, 16, 11061, 553, 289, 10363, 2036, 15654, 4046, 344, 282, 1286, 16, 25, 3763, 2791, 18, 999, 30894, 2184, 3040, 7392, 8811, 10137, 773, 18, 14932, 14954, 282, 34059, 282, 15347, 309, 14936, 1161, 17, 10269, 2843, 1941, 4625, 49343, 18, 7858, 411, 21616, 334, 5456, 3707, 34718, 16 ]
[ 334, 460, 2594, 6880, 3536, 289, 25005, 11061, 1437, 294, 46322, 282, 26141, 292, 22909, 395, 3361, 322, 5195, 18, 1782, 7143, 448, 3674, 16, 961, 6933, 360, 13913, 4974, 289, 13311, 1810, 16, 6735, 375, 12864, 364, 16, 4266, 36560, 16, 515, 371, 803, 7788, 7512, 5153, 2005, 2287, 3763, 14953, 4500, 18, 2791, 18, 9617, 302, 9446, 764, 7593, 4500, 18, 2791, 16, 282, 11925, 371, 8231, 322, 5542, 10531, 18, 1681, 24413, 11359, 3118, 17245, 11211, 1423, 16789, 18, 4944, 6735, 375, 2815, 16, 374, 4302, 5153, 9393, 322, 38079, 16, 367, 567, 1209, 325, 2460, 623, 1489, 292, 9353, 315, 14752, 662, 15046, 5738, 4855, 31932, 478, 630, 3043, 4840, 25241, 541, 9759, 15611, 861, 6592, 11553, 12380, 5738, 16, 753, 27592, 1810, 23786, 1033, 3417, 4500, 18, 2791, 16, 18725, 3696, 2666, 10867, 16, 1029, 14393, 1867, 9835, 16, 3471, 1733, 4289, 44236, 12520, 18, 740, 428, 5429, 16, 4046, 344, 37198, 541, 6143, 38602, 1004, 25494, 17435, 6034, 289, 24173, 11310, 16, 6196, 1639, 9523, 322, 476, 41048, 18, 740, 827, 912, 518, 16, 1085, 2259, 11960, 1613, 575, 2768, 349, 2708, 1527, 3674, 16, 502, 13341, 4816, 24564, 11389, 281, 2872, 18, 4944, 6735, 375, 5692, 16, 374, 334, 18446, 22010, 5440, 475, 4046, 394, 18, 4635, 334, 1335, 8386, 3711, 8538, 282, 9124, 12670, 18, 727, 1295, 4855, 17430, 685, 2539, 286, 282, 4440, 1045, 18, 2877, 4046, 2381, 10867, 8197, 322, 8166, 18, 40223, 742, 4433, 12826, 13388, 434, 7541, 289, 12140, 1081, 13388, 434, 27858, 3946, 8049, 4692, 324, 371, 33080, 2042, 1798, 1212, 15992, 4944, 6735, 375, 685, 9540, 19201, 24607, 6214, 11805, 10137, 773, 18, 14932, 14954, 282, 5049, 1045, 16, 8018, 275, 309, 803, 13314, 18505, 10196, 8053, 18, 1268, 12217, 8508, 16079, 977, 15506, 304, 510, 19899, 8840, 1293, 4776, 33651, 2301, 8487, 1923, 10137, 411, 17, 431, 3237, 973, 281, 1498, 27431, 24891, 6454, 18, 23655, 269, 3946, 14932, 14954, 510, 36802, 11652, 11267, 13341, 282, 2968, 16, 12578, 282, 5214, 4534, 18, 365, 8794, 309, 14936, 12077, 5746, 800, 8487, 513, 37510, 282, 11238, 1045, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 421, 896, 3378, 1383, 264, 20836, 18511, 1674, 17178, 20450, 478, 35485, 647, 28000, 9280, 1762, 4214, 470, 14504, 15781, 23932, 45179, 324, 16, 7386, 434, 4933, 294, 5288, 14453, 600, 306, 16, 294, 341, 1616, 16, 358, 513, 354, 1744, 16, 32660, 5622, 597, 289, 18332, 416, 13008, 400, 18, 31224, 30, 5798, 20556, 47835, 4961, 289, 4150, 13184, 30231, 2725, 766, 447, 1272, 19606, 2158, 1933, 706, 349, 27636, 9328, 3463, 19476, 16, 5957, 1881, 2339, 32542, 20287, 424, 4150, 12310, 9217, 3663, 36024, 10727, 16913, 8069, 16, 492, 3895, 520, 14022, 937, 15698, 11587, 539, 7957, 309, 10863, 441, 451, 26370, 17, 1961, 17743, 18, 5093, 27721, 16, 2319, 1143, 22265, 408, 33854, 505, 30325, 6591, 9269, 14758, 289, 2678, 34357, 1519, 40183, 23669, 18, 2046, 733, 271, 944, 26801, 773, 27151, 37346, 309, 7487, 6731, 1805, 16186, 3872, 38588, 647, 18, 24946, 274, 347, 3254, 20989, 473, 406, 1514, 3964, 349, 4317, 16, 515, 13549, 475, 764, 282, 8954, 13, 334, 7256, 1119, 9225, 33460, 6688, 16, 16017, 319, 961, 13357, 478, 42359, 1116, 470, 322, 26579, 18, 967, 803, 745, 2944, 726, 322, 4786, 35681, 1051, 16, 367, 381, 2181, 12536, 18337, 360, 9293, 1908, 301, 1778, 16, 28311, 401, 6379, 5842, 282, 3998, 20700, 16, 3111, 1314, 289, 4521, 322, 6110, 18, 985, 291, 25724, 11959, 34895, 572, 1251, 49844, 7120, 353, 2334, 768, 1395, 419, 16, 48666, 440, 625, 3841, 1624, 14200, 688, 1994, 503, 16, 14502, 457, 4013, 12790, 17, 677, 446, 289, 9163, 1888, 478, 293, 2274, 2279, 38941, 2725, 766, 15360, 910, 46012, 11524, 8630, 18, 5043, 16, 309, 3591, 5645, 1809, 18860, 2616, 17, 299, 411, 1129, 290, 478, 3729, 263, 3254, 20989, 470, 8661, 467, 281, 16487, 1330, 18, 9840, 45179, 268, 16, 19130, 27521, 20627, 23184, 783, 2551, 17833, 282, 36798, 421, 896, 3378, 1383, 264, 20836, 18511, 1674, 16, 9914, 294, 20740, 10279, 16, 1177, 10122, 12490, 1589, 538, 2339, 18, 2046, 935, 505, 28099, 43862, 322, 9298, 1745, 982, 6236, 33302, 36342, 18, 37601, 43116, 16, 374, 282, 1335, 18860, 14963, 3455, 428, 8396, 1421, 4095, 15781, 651, 4618, 4095, 16, 374, 24081, 697, 904, 424, 2059, 28423, 8471, 13284, 322, 32703, 536, 18, 5043, 16, 5184, 662, 45179, 324, 3586, 9949, 4492, 285, 617, 3868, 624, 27221, 16, 515, 5702, 1574, 30, 374, 575, 475, 17, 2767, 14413, 9170, 7781, 1291, 8290, 360, 965, 5112, 16, 367, 322, 360, 3247, 2865, 15573, 966, 434, 1650, 1887, 4365, 1356, 289, 41238, 35, 2263, 492, 281, 4631, 323, 17857, 1829, 290, 4506, 3158, 1723, 2739, 1631, 289, 8577, 16, 290, 1218, 28091, 617, 41424, 2478, 16, 290, 1113, 30127, 4510, 19669, 29169, 289, 311, 18, 293, 2211, 515, 9099, 32965, 2950, 374, 9095, 541, 16321, 505, 27431, 10297, 1437, 18, 45179, 268, 22431, 47713, 16, 19415, 289, 7435, 334, 3872, 27327, 33605, 651, 2628, 16, 1210, 2545, 1143, 3361, 294, 26370, 17, 296, 15617, 272, 16, 828, 294, 37904, 894, 954, 18, 1787, 924, 16, 9705, 16, 289, 8092, 709, 41773, 879, 10122, 36024, 10727, 16913, 8069, 18, 38119, 9309, 16, 12314, 3626, 309, 4601, 21380, 1264, 16, 651, 20082, 16, 322, 3563, 26331, 1851, 17418, 10417, 19954, 16, 515, 9840, 45179, 268, 18410, 675, 2712, 1177, 1089, 282, 29622, 7756, 7658, 4365, 1356, 16, 13334, 416, 773, 478, 1009, 6538, 3182, 861, 385, 17730, 1070, 3885, 3314, 19866, 281, 13251, 1457, 12411, 1320, 322, 8471, 6097, 7549, 979, 16, 515, 14413, 281, 21083, 536, 8111, 1518, 44030, 6266, 18, 10527, 24174, 22322, 718, 32787, 354, 282, 27107, 913, 16, 29833, 31912, 650, 10250, 322, 282, 14578, 17155, 15921, 16, 367, 282, 22264, 16, 6492, 9217, 617, 1354, 16, 4818, 16, 23191, 924, 16, 753, 953, 2401, 2840, 282, 7610, 4141, 16, 651, 2686, 45179, 268, 322, 33295, 309, 4775, 45526, 22515, 16, 367, 3226, 575, 16964, 464, 305, 294, 7756, 18, 1591, 1209, 1967, 6160, 322, 5175, 16, 2521, 5184, 16016, 20265, 2284, 7487, 3774, 3003, 16, 3848, 4498, 3419, 290, 15242, 2361, 17854, 432, 16471, 16, 961, 373, 2419, 1807, 22373, 2919, 282, 2782, 15424, 21301, 18, 9098, 18457, 1018, 1698, 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 ]
[ 334, 460, 2594, 6880, 3536, 289, 25005, 11061, 1437, 294, 46322, 282, 26141, 292, 22909, 395, 3361, 322, 5195, 18, 1782, 7143, 448, 3674, 16, 961, 6933, 360, 13913, 4974, 289, 13311, 1810, 16, 6735, 375, 12864, 364, 16, 4266, 36560, 16, 515, 371, 803, 7788, 7512, 5153, 2005, 2287, 3763, 14953, 4500, 18, 2791, 18, 9617, 302, 9446, 764, 7593, 4500, 18, 2791, 16, 282, 11925, 371, 8231, 322, 5542, 10531, 18, 1681, 24413, 11359, 3118, 17245, 11211, 1423, 16789, 18, 4944, 6735, 375, 2815, 16, 374, 4302, 5153, 9393, 322, 38079, 16, 367, 567, 1209, 325, 2460, 623, 1489, 292, 9353, 315, 14752, 662, 15046, 5738, 4855, 31932, 478, 630, 3043, 4840, 25241, 541, 9759, 15611, 861, 6592, 11553, 12380, 5738, 16, 753, 27592, 1810, 23786, 1033, 3417, 4500, 18, 2791, 16, 18725, 3696, 2666, 10867, 16, 1029, 14393, 1867, 9835, 16, 3471, 1733, 4289, 44236, 12520, 18, 740, 428, 5429, 16, 4046, 344, 37198, 541, 6143, 38602, 1004, 25494, 17435, 6034, 289, 24173, 11310, 16, 6196, 1639, 9523, 322, 476, 41048, 18, 740, 827, 912, 518, 16, 1085, 2259, 11960, 1613, 575, 2768, 349, 2708, 1527, 3674, 16, 502, 13341, 4816, 24564, 11389, 281, 2872, 18, 4944, 6735, 375, 5692, 16, 374, 334, 18446, 22010, 5440, 475, 4046, 394, 18, 4635, 334, 1335, 8386, 3711, 8538, 282, 9124, 12670, 18, 727, 1295, 4855, 17430, 685, 2539, 286, 282, 4440, 1045, 18, 2877, 4046, 2381, 10867, 8197, 322, 8166, 18, 40223, 742, 4433, 12826, 13388, 434, 7541, 289, 12140, 1081, 13388, 434, 27858, 3946, 8049, 4692, 324, 371, 33080, 2042, 1798, 1212, 15992, 4944, 6735, 375, 685, 9540, 19201, 24607, 6214, 11805, 10137, 773, 18, 14932, 14954, 282, 5049, 1045, 16, 8018, 275, 309, 803, 13314, 18505, 10196, 8053, 18, 1268, 12217, 8508, 16079, 977, 15506, 304, 510, 19899, 8840, 1293, 4776, 33651, 2301, 8487, 1923, 10137, 411, 17, 431, 3237, 973, 281, 1498, 27431, 24891, 6454, 18, 23655, 269, 3946, 14932, 14954, 510, 36802, 11652, 11267, 13341, 282, 2968, 16, 12578, 282, 5214, 4534, 18, 365, 8794, 309, 14936, 12077, 5746, 800, 8487, 513, 37510, 282, 11238, 1045, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 421, 896, 3378, 1383, 264, 20836, 18511, 1674, 17178, 20450, 478, 35485, 647, 28000, 9280, 1762, 4214, 470, 14504, 15781, 23932, 45179, 324, 16, 7386, 434, 4933, 294, 5288, 14453, 600, 306, 16, 294, 341, 1616, 16, 358, 513, 354, 1744, 16, 32660, 5622, 597, 289, 18332, 416, 13008, 400, 18, 31224, 30, 5798, 20556, 47835, 4961, 289, 4150, 13184, 30231, 2725, 766, 447, 1272, 19606, 2158, 1933, 706, 349, 27636, 9328, 3463, 19476, 16, 5957, 1881, 2339, 32542, 20287, 424, 4150, 12310, 9217, 3663, 36024, 10727, 16913, 8069, 16, 492, 3895, 520, 14022, 937, 15698, 11587, 539, 7957, 309, 10863, 441, 451, 26370, 17, 1961, 17743, 18, 5093, 27721, 16, 2319, 1143, 22265, 408, 33854, 505, 30325, 6591, 9269, 14758, 289, 2678, 34357, 1519, 40183, 23669, 18, 2046, 733, 271, 944, 26801, 773, 27151, 37346, 309, 7487, 6731, 1805, 16186, 3872, 38588, 647, 18, 24946, 274, 347, 3254, 20989, 473, 406, 1514, 3964, 349, 4317, 16, 515, 13549, 475, 764, 282, 8954, 13, 334, 7256, 1119, 9225, 33460, 6688, 16, 16017, 319, 961, 13357, 478, 42359, 1116, 470, 322, 26579, 18, 967, 803, 745, 2944, 726, 322, 4786, 35681, 1051, 16, 367, 381, 2181, 12536, 18337, 360, 9293, 1908, 301, 1778, 16, 28311, 401, 6379, 5842, 282, 3998, 20700, 16, 3111, 1314, 289, 4521, 322, 6110, 18, 985, 291, 25724, 11959, 34895, 572, 1251, 49844, 7120, 353, 2334, 768, 1395, 419, 16, 48666, 440, 625, 3841, 1624, 14200, 688, 1994, 503, 16, 14502, 457, 4013, 12790, 17, 677, 446, 289, 9163, 1888, 478, 293, 2274, 2279, 38941, 2725, 766, 15360, 910, 46012, 11524, 8630, 18, 5043, 16, 309, 3591, 5645, 1809, 18860, 2616, 17, 299, 411, 1129, 290, 478, 3729, 263, 3254, 20989, 470, 8661, 467, 281, 16487, 1330, 18, 9840, 45179, 268, 16, 19130, 27521, 20627, 23184, 783, 2551, 17833, 282, 36798, 421, 896, 3378, 1383, 264, 20836, 18511, 1674, 16, 9914, 294, 20740, 10279, 16, 1177, 10122, 12490, 1589, 538, 2339, 18, 2046, 935, 505, 28099, 43862, 322, 9298, 1745, 982, 6236, 33302, 36342, 18, 37601, 43116, 16, 374, 282, 1335, 18860, 14963, 3455, 428, 8396, 1421, 4095, 15781, 651, 4618, 4095, 16, 374, 24081, 697, 904, 424, 2059, 28423, 8471, 13284, 322, 32703, 536, 18, 5043, 16, 5184, 662, 45179, 324, 3586, 9949, 4492, 285, 617, 3868, 624, 27221, 16, 515, 5702, 1574, 30, 374, 575, 475, 17, 2767, 14413, 9170, 7781, 1291, 8290, 360, 965, 5112, 16, 367, 322, 360, 3247, 2865, 15573, 966, 434, 1650, 1887, 4365, 1356, 289, 41238, 35, 2263, 492, 281, 4631, 323, 17857, 1829, 290, 4506, 3158, 1723, 2739, 1631, 289, 8577, 16, 290, 1218, 28091, 617, 41424, 2478, 16, 290, 1113, 30127, 4510, 19669, 29169, 289, 311, 18, 293, 2211, 515, 9099, 32965, 2950, 374, 9095, 541, 16321, 505, 27431, 10297, 1437, 18, 45179, 268, 22431, 47713, 16, 19415, 289, 7435, 334, 3872, 27327, 33605, 651, 2628, 16, 1210, 2545, 1143, 3361, 294, 26370, 17, 296, 15617, 272, 16, 828, 294, 37904, 894, 954, 18, 1787, 924, 16, 9705, 16, 289, 8092, 709, 41773, 879, 10122, 36024, 10727, 16913, 8069, 18, 38119, 9309, 16, 12314, 3626, 309, 4601, 21380, 1264, 16, 651, 20082, 16, 322, 3563, 26331, 1851, 17418, 10417, 19954, 16, 515, 9840, 45179, 268, 18410, 675, 2712, 1177, 1089, 282, 29622, 7756, 7658, 4365, 1356, 16, 13334, 416, 773, 478, 1009, 6538, 3182, 861, 385, 17730, 1070, 3885, 3314, 19866, 281, 13251, 1457, 12411, 1320, 322, 8471, 6097, 7549, 979, 16, 515, 14413, 281, 21083, 536, 8111, 1518, 44030, 6266, 18, 10527, 24174, 22322, 718, 32787, 354, 282, 27107, 913, 16, 29833, 31912, 650, 10250, 322, 282, 14578, 17155, 15921, 16, 367, 282, 22264, 16, 6492, 9217, 617, 1354, 16, 4818, 16, 23191, 924, 16, 753, 953, 2401, 2840, 282, 7610, 4141, 16, 651, 2686, 45179, 268, 322, 33295, 309, 4775, 45526, 22515, 16, 367, 3226, 575, 16964, 464, 305, 294, 7756, 18, 1591, 1209, 1967, 6160, 322, 5175, 16, 2521, 5184, 16016, 20265, 2284, 7487, 3774, 3003, 16, 3848, 4498, 3419, 290, 15242, 2361, 17854, 432, 16471, 16, 961, 373, 2419, 1807, 22373, 2919, 282, 2782, 15424, 21301, 18, 9098, 18457, 1018, 1698, 953 ]
[ 702, 281, 4413, 9972, 322, 11864, 16, 515, 282, 23386, 33310, 478, 872, 2612, 2110, 24165, 861, 6373, 411, 32986, 978, 32874, 651, 41238, 448, 32830, 1701, 10572, 411, 4829, 670, 8935, 18, 3739, 5525, 986, 2158, 9840, 45179, 268, 13504, 2159, 13421, 411, 4256, 30821, 6905, 4829, 16, 2338, 6036, 27300, 309, 7266, 4776, 18, 385, 1110, 1326, 492, 17296, 38885, 1177, 17939, 273, 16, 3891, 42577, 5667, 1161, 28659, 349, 2948, 19899, 478, 18938, 455, 861, 365, 30166, 38532, 942, 17882, 1613, 575, 9814, 2398, 411, 35012, 2198, 8935, 473, 45351, 380, 7762, 1763, 34959, 3239, 387, 3533, 286, 934, 374, 27651, 13375, 8121, 16, 2361, 808, 24032, 400, 7894, 294, 8761, 275, 582, 16, 281, 43148, 536, 10826, 6726, 18, 3654, 17, 299, 381, 1967, 411, 1063, 6585, 411, 4829, 289, 8935, 7239, 3111, 428, 290, 11879, 2244, 28311, 6239, 16, 1830, 1033, 1223, 282, 1129, 2492, 2609, 1812, 3226, 17, 2767, 14583, 18384, 6965, 4358, 18, 45179, 268, 322, 11279, 4063, 513, 9587, 13765, 16, 515, 5073, 481, 282, 4301, 9269, 15469, 324, 18, 2777, 950, 4365, 1356, 281, 4863, 298, 12252, 6390, 11384, 546, 2661, 670, 18106, 282, 22602, 35928, 12077, 5968, 16, 36075, 20159, 22247, 19543, 2232, 478, 684, 26132, 17, 404, 6613, 343, 470, 473, 11800, 1637, 16441, 421, 11496, 282, 36877, 1873, 30753, 934, 17158, 19543, 2232, 20246, 884, 15413, 282, 1421, 37274, 16, 21301, 478, 23046, 9203, 355, 17, 332, 22566, 712, 910, 35635, 1587, 309, 8517, 364, 2547, 448, 5625, 16, 651, 411, 1335, 772, 2021, 30273, 3047, 322, 27450, 13554, 16, 374, 5184, 11263, 3893, 282, 1634, 22265, 408, 9643, 18, 9570, 27450, 29004, 16, 367, 481, 16, 4213, 16, 18838, 45994, 10773, 9246, 11666, 883, 18, 2, 1, 87, 1456, 81, 2448, 30, 46989, 10239, 16836, 2712, 6138, 44689, 17, 660, 566, 382, 7438, 510, 697, 1747, 25449, 649, 2132, 26955, 282, 20819, 432, 7932, 43867, 18, 4874, 266, 404, 2661, 10982, 23054, 1702, 4325, 40577, 7825, 1302, 1366, 716, 16, 2109, 2051, 4886, 16, 31567, 16437, 1050, 18, 4320, 4772, 17, 2499, 19806, 268, 322, 2753, 341, 37673, 15777, 16, 21053, 1747, 10691, 29264, 349, 3455, 282, 17229, 18, 38161, 8350, 3938, 40189, 4601, 2078, 14033, 3741, 8138, 289, 13342, 27698, 10241, 16, 367, 10982, 510, 11028, 1143, 13185, 16, 6881, 14697, 18, 31224, 30, 9284, 1344, 17, 2499, 19806, 268, 10982, 16836, 2712, 6138, 44689, 17, 660, 566, 382, 7438, 16, 961, 21215, 3504, 2625, 282, 12462, 18, 1787, 978, 39805, 4463, 6915, 10928, 10982, 5731, 1661, 32919, 40053, 18, 36795, 756, 1752, 282, 6829, 16, 21215, 12486, 2678, 309, 2059, 4772, 17, 39542, 37233, 20533, 3504, 309, 11588, 411, 16695, 786, 6855, 980, 16, 30935, 75, 494, 3767, 16, 786, 25304, 1075, 44891, 16, 7825, 1302, 1366, 716, 16, 2109, 2051, 4886, 16, 31567, 16437, 1050, 16, 367, 1038, 8243, 15851, 19110, 18, 2112, 978, 2834, 1947, 1698, 20488, 16, 785, 6696, 3604, 13913, 18, 3877, 14850, 1698, 953, 40761, 282, 1500, 575, 1119, 309, 914, 670, 282, 8185, 18, 6001, 26955, 1747, 3624, 309, 6231, 7310, 5137, 651, 445, 1386, 649, 11588, 282, 7932, 43867, 281, 45607, 3258, 10982, 289, 14316, 4769, 281, 10721, 31623, 1134, 19504, 16, 5301, 1273, 715, 5994, 10413, 16303, 18, 42429, 400, 1519, 3655, 10928, 1055, 1698, 687, 8044, 1767, 24783, 6258, 17, 37272, 473, 1955, 14623, 35910, 22155, 35719, 69, 814, 478, 49821, 3413, 16, 481, 8350, 322, 19108, 334, 10856, 349, 41053, 15454, 758, 5182, 1082, 910, 510, 5130, 282, 9907, 16, 48638, 282, 7341, 17886, 26750, 10982, 18, 12726, 15777, 7438, 282, 10982, 764, 322, 36890, 18, 4320, 6558, 6728, 21215, 1698, 2240, 481, 9092, 282, 3178, 7518, 4776, 16, 10982, 840, 9038, 29264, 360, 1131, 11228, 282, 518, 843, 16199, 18, 4756, 13156, 33060, 16, 374, 6134, 6196, 10982, 895, 953, 309, 4843, 2479, 443, 3114, 16219, 16, 828, 329, 4772, 17, 2640, 355, 8367, 10530, 49190, 1624, 502, 912, 4843, 12770, 443, 14184, 282, 1205, 18, 478, 4348, 18515, 481, 282, 10400, 547, 21992, 281, 1702, 4325, 426, 2661, 16, 282, 970, 2875, 541, 924, 16, 753, 24800, 23095, 10985, 7321, 541, 29616, 24786, 16, 510, 15875, 1273, 31024, 2316, 14840, 10982, 18, 651, 1345, 1434, 2033, 3624, 1195, 867, 16, 753, 35309, 7435, 16, 17868, 289, 1783, 6534, 541, 3281, 44446, 11270, 861, 1268, 2423, 49633, 14697, 6881, 16, 374, 3655, 10928, 2957, 759, 16054, 8063, 17, 1866, 332, 918, 16, 1586, 1623, 44268, 17812, 49234, 19504, 18, 385, 2059, 1963, 16, 827, 2834, 1947, 4217, 530, 10928, 289, 10906, 22473, 1143, 8063, 17, 293, 12828, 368, 16, 45556, 2873, 1747, 5511, 41407, 20775, 1248, 10982, 18, 385, 2107, 1963, 510, 828, 1143, 1749, 15244, 1612, 282, 12462, 16, 867, 1143, 20163, 16, 374, 745, 1747, 3836, 8203, 1742, 10928, 10982, 289, 38486, 309, 30195, 289, 1180, 8899, 16, 988, 1038, 3043, 3935, 20410, 18, 24114, 411, 10235, 1791, 4772, 17, 29024, 2506, 1623, 502, 16, 374, 22656, 7438, 895, 30351, 282, 3178, 4335, 2868, 16, 367, 282, 4729, 6160, 651, 8560, 18, 18162, 10784, 726, 12530, 8940, 10530, 49190, 18, 3758, 289, 1057, 38, 1201, 651, 25170, 21188, 309, 5814, 11410, 11270, 18, 365, 4729, 15209, 2145, 745, 322, 453, 2944, 4732, 35381, 6196, 16, 40225, 18427, 6036, 10982, 18, 18197, 14456, 1702, 4325, 3327, 2145, 30935, 17, 49, 1813, 2109, 22453, 1038, 8123, 22869, 334, 47847, 7438, 282, 1119, 16325, 13169, 282, 4256, 11673, 3040, 2662, 18, 4320, 13860, 16, 4040, 520, 44689, 17, 660, 12217, 7438, 11726, 536, 541, 10982, 31179, 18, 365, 8439, 1045, 381, 2430, 331, 3287, 8226, 25659, 40910, 16, 1029, 2966, 5077, 29772, 8520, 309, 914, 16, 453, 428, 322, 2564, 15333, 38468, 22225, 451, 3010, 16, 1029, 322, 4167, 373, 2410, 36180, 541, 17010, 289, 3884, 271, 373, 11608, 309, 29772, 7438, 282, 1119, 13169, 18, 478, 30787, 309, 24665, 617, 6152, 8990, 15777, 289, 9261, 49995, 5751, 13401, 16, 10982, 5731, 1661, 32919, 40053, 13051, 315, 4608, 13805, 3938, 25725, 5324, 16, 510, 5273, 12189, 786, 10497, 39, 86, 42506, 5527, 2750, 457, 7984, 12258, 18, 651, 38161, 8350, 773, 14033, 3741, 8138, 289, 13342, 27698, 10241, 16, 453, 428, 329, 17010, 11585, 2678, 9038, 11588, 411, 4335, 16199, 4933, 861, 2, 1, 87, 1456, 81, 2448, 30, 684, 275, 3244, 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 ]
[ 702, 281, 4413, 9972, 322, 11864, 16, 515, 282, 23386, 33310, 478, 872, 2612, 2110, 24165, 861, 6373, 411, 32986, 978, 32874, 651, 41238, 448, 32830, 1701, 10572, 411, 4829, 670, 8935, 18, 3739, 5525, 986, 2158, 9840, 45179, 268, 13504, 2159, 13421, 411, 4256, 30821, 6905, 4829, 16, 2338, 6036, 27300, 309, 7266, 4776, 18, 385, 1110, 1326, 492, 17296, 38885, 1177, 17939, 273, 16, 3891, 42577, 5667, 1161, 28659, 349, 2948, 19899, 478, 18938, 455, 861, 365, 30166, 38532, 942, 17882, 1613, 575, 9814, 2398, 411, 35012, 2198, 8935, 473, 45351, 380, 7762, 1763, 34959, 3239, 387, 3533, 286, 934, 374, 27651, 13375, 8121, 16, 2361, 808, 24032, 400, 7894, 294, 8761, 275, 582, 16, 281, 43148, 536, 10826, 6726, 18, 3654, 17, 299, 381, 1967, 411, 1063, 6585, 411, 4829, 289, 8935, 7239, 3111, 428, 290, 11879, 2244, 28311, 6239, 16, 1830, 1033, 1223, 282, 1129, 2492, 2609, 1812, 3226, 17, 2767, 14583, 18384, 6965, 4358, 18, 45179, 268, 322, 11279, 4063, 513, 9587, 13765, 16, 515, 5073, 481, 282, 4301, 9269, 15469, 324, 18, 2777, 950, 4365, 1356, 281, 4863, 298, 12252, 6390, 11384, 546, 2661, 670, 18106, 282, 22602, 35928, 12077, 5968, 16, 36075, 20159, 22247, 19543, 2232, 478, 684, 26132, 17, 404, 6613, 343, 470, 473, 11800, 1637, 16441, 421, 11496, 282, 36877, 1873, 30753, 934, 17158, 19543, 2232, 20246, 884, 15413, 282, 1421, 37274, 16, 21301, 478, 23046, 9203, 355, 17, 332, 22566, 712, 910, 35635, 1587, 309, 8517, 364, 2547, 448, 5625, 16, 651, 411, 1335, 772, 2021, 30273, 3047, 322, 27450, 13554, 16, 374, 5184, 11263, 3893, 282, 1634, 22265, 408, 9643, 18, 9570, 27450, 29004, 16, 367, 481, 16, 4213, 16, 18838, 45994, 10773, 9246, 11666, 883, 18, 2, 1, 87, 1456, 81, 2448, 30, 46989, 10239, 16836, 2712, 6138, 44689, 17, 660, 566, 382, 7438, 510, 697, 1747, 25449, 649, 2132, 26955, 282, 20819, 432, 7932, 43867, 18, 4874, 266, 404, 2661, 10982, 23054, 1702, 4325, 40577, 7825, 1302, 1366, 716, 16, 2109, 2051, 4886, 16, 31567, 16437, 1050, 18, 4320, 4772, 17, 2499, 19806, 268, 322, 2753, 341, 37673, 15777, 16, 21053, 1747, 10691, 29264, 349, 3455, 282, 17229, 18, 38161, 8350, 3938, 40189, 4601, 2078, 14033, 3741, 8138, 289, 13342, 27698, 10241, 16, 367, 10982, 510, 11028, 1143, 13185, 16, 6881, 14697, 18, 31224, 30, 9284, 1344, 17, 2499, 19806, 268, 10982, 16836, 2712, 6138, 44689, 17, 660, 566, 382, 7438, 16, 961, 21215, 3504, 2625, 282, 12462, 18, 1787, 978, 39805, 4463, 6915, 10928, 10982, 5731, 1661, 32919, 40053, 18, 36795, 756, 1752, 282, 6829, 16, 21215, 12486, 2678, 309, 2059, 4772, 17, 39542, 37233, 20533, 3504, 309, 11588, 411, 16695, 786, 6855, 980, 16, 30935, 75, 494, 3767, 16, 786, 25304, 1075, 44891, 16, 7825, 1302, 1366, 716, 16, 2109, 2051, 4886, 16, 31567, 16437, 1050, 16, 367, 1038, 8243, 15851, 19110, 18, 2112, 978, 2834, 1947, 1698, 20488, 16, 785, 6696, 3604, 13913, 18, 3877, 14850, 1698, 953, 40761, 282, 1500, 575, 1119, 309, 914, 670, 282, 8185, 18, 6001, 26955, 1747, 3624, 309, 6231, 7310, 5137, 651, 445, 1386, 649, 11588, 282, 7932, 43867, 281, 45607, 3258, 10982, 289, 14316, 4769, 281, 10721, 31623, 1134, 19504, 16, 5301, 1273, 715, 5994, 10413, 16303, 18, 42429, 400, 1519, 3655, 10928, 1055, 1698, 687, 8044, 1767, 24783, 6258, 17, 37272, 473, 1955, 14623, 35910, 22155, 35719, 69, 814, 478, 49821, 3413, 16, 481, 8350, 322, 19108, 334, 10856, 349, 41053, 15454, 758, 5182, 1082, 910, 510, 5130, 282, 9907, 16, 48638, 282, 7341, 17886, 26750, 10982, 18, 12726, 15777, 7438, 282, 10982, 764, 322, 36890, 18, 4320, 6558, 6728, 21215, 1698, 2240, 481, 9092, 282, 3178, 7518, 4776, 16, 10982, 840, 9038, 29264, 360, 1131, 11228, 282, 518, 843, 16199, 18, 4756, 13156, 33060, 16, 374, 6134, 6196, 10982, 895, 953, 309, 4843, 2479, 443, 3114, 16219, 16, 828, 329, 4772, 17, 2640, 355, 8367, 10530, 49190, 1624, 502, 912, 4843, 12770, 443, 14184, 282, 1205, 18, 478, 4348, 18515, 481, 282, 10400, 547, 21992, 281, 1702, 4325, 426, 2661, 16, 282, 970, 2875, 541, 924, 16, 753, 24800, 23095, 10985, 7321, 541, 29616, 24786, 16, 510, 15875, 1273, 31024, 2316, 14840, 10982, 18, 651, 1345, 1434, 2033, 3624, 1195, 867, 16, 753, 35309, 7435, 16, 17868, 289, 1783, 6534, 541, 3281, 44446, 11270, 861, 1268, 2423, 49633, 14697, 6881, 16, 374, 3655, 10928, 2957, 759, 16054, 8063, 17, 1866, 332, 918, 16, 1586, 1623, 44268, 17812, 49234, 19504, 18, 385, 2059, 1963, 16, 827, 2834, 1947, 4217, 530, 10928, 289, 10906, 22473, 1143, 8063, 17, 293, 12828, 368, 16, 45556, 2873, 1747, 5511, 41407, 20775, 1248, 10982, 18, 385, 2107, 1963, 510, 828, 1143, 1749, 15244, 1612, 282, 12462, 16, 867, 1143, 20163, 16, 374, 745, 1747, 3836, 8203, 1742, 10928, 10982, 289, 38486, 309, 30195, 289, 1180, 8899, 16, 988, 1038, 3043, 3935, 20410, 18, 24114, 411, 10235, 1791, 4772, 17, 29024, 2506, 1623, 502, 16, 374, 22656, 7438, 895, 30351, 282, 3178, 4335, 2868, 16, 367, 282, 4729, 6160, 651, 8560, 18, 18162, 10784, 726, 12530, 8940, 10530, 49190, 18, 3758, 289, 1057, 38, 1201, 651, 25170, 21188, 309, 5814, 11410, 11270, 18, 365, 4729, 15209, 2145, 745, 322, 453, 2944, 4732, 35381, 6196, 16, 40225, 18427, 6036, 10982, 18, 18197, 14456, 1702, 4325, 3327, 2145, 30935, 17, 49, 1813, 2109, 22453, 1038, 8123, 22869, 334, 47847, 7438, 282, 1119, 16325, 13169, 282, 4256, 11673, 3040, 2662, 18, 4320, 13860, 16, 4040, 520, 44689, 17, 660, 12217, 7438, 11726, 536, 541, 10982, 31179, 18, 365, 8439, 1045, 381, 2430, 331, 3287, 8226, 25659, 40910, 16, 1029, 2966, 5077, 29772, 8520, 309, 914, 16, 453, 428, 322, 2564, 15333, 38468, 22225, 451, 3010, 16, 1029, 322, 4167, 373, 2410, 36180, 541, 17010, 289, 3884, 271, 373, 11608, 309, 29772, 7438, 282, 1119, 13169, 18, 478, 30787, 309, 24665, 617, 6152, 8990, 15777, 289, 9261, 49995, 5751, 13401, 16, 10982, 5731, 1661, 32919, 40053, 13051, 315, 4608, 13805, 3938, 25725, 5324, 16, 510, 5273, 12189, 786, 10497, 39, 86, 42506, 5527, 2750, 457, 7984, 12258, 18, 651, 38161, 8350, 773, 14033, 3741, 8138, 289, 13342, 27698, 10241, 16, 453, 428, 329, 17010, 11585, 2678, 9038, 11588, 411, 4335, 16199, 4933, 861, 2, 1, 87, 1456, 81, 2448, 30, 684, 275, 3244, 309 ]
[ 11304, 3595, 16365, 16, 34124, 835, 309, 42236, 16, 6457, 349, 17904, 761, 2470, 1587, 4277, 1826, 454, 6623, 510, 309, 2713, 7292, 35351, 334, 4889, 8099, 5319, 6455, 9441, 14457, 3531, 7272, 334, 12278, 4889, 370, 287, 600, 18, 31224, 30, 45534, 4562, 14729, 322, 22151, 8969, 11304, 3774, 4889, 16, 13749, 7638, 17, 13522, 2407, 6370, 16640, 309, 33762, 11073, 2713, 2585, 7067, 334, 10268, 7583, 21985, 5006, 18, 478, 1098, 278, 361, 12535, 24552, 309, 8357, 5781, 6632, 303, 645, 289, 40236, 282, 2100, 2239, 9, 334, 27310, 541, 19842, 483, 8922, 2602, 3229, 1223, 541, 17926, 32435, 21985, 24598, 309, 33921, 5814, 18, 5093, 15323, 18584, 1519, 30, 1542, 8010, 322, 46493, 16, 322, 7820, 910, 510, 1109, 16640, 18, 817, 1038, 9327, 1247, 510, 1513, 520, 10846, 2089, 15635, 30521, 8156, 670, 16895, 3531, 6101, 7904, 8465, 282, 12996, 32435, 21985, 24598, 18, 478, 21393, 8369, 294, 418, 9587, 8275, 16, 8369, 32361, 448, 16, 289, 16, 8507, 16, 322, 1514, 22508, 16, 912, 7059, 26581, 40236, 16, 912, 7059, 35309, 15743, 40236, 309, 28724, 416, 5137, 18, 1303, 8059, 322, 32703, 448, 16, 515, 282, 6449, 1750, 2710, 17, 299, 4075, 7099, 1381, 16, 870, 4075, 6535, 282, 37161, 5439, 16, 289, 870, 4075, 9523, 4135, 910, 510, 15875, 20840, 5439, 6080, 478, 13261, 861, 1895, 1443, 16, 961, 1381, 7099, 16, 24185, 364, 8099, 5319, 4137, 421, 2004, 778, 18, 817, 6455, 2988, 26581, 15635, 552, 541, 19842, 483, 334, 2866, 1864, 309, 3116, 10460, 6134, 473, 275, 4675, 808, 19842, 394, 322, 24259, 27310, 309, 6632, 348, 364, 1254, 934, 2988, 7051, 2094, 25780, 9608, 3244, 309, 1857, 27465, 15474, 18, 39726, 990, 1574, 3149, 5037, 24186, 11413, 6455, 687, 282, 970, 1750, 16, 827, 35263, 5781, 6623, 334, 8872, 779, 1747, 4803, 1281, 5999, 7106, 16, 374, 282, 4440, 1045, 14702, 27465, 15474, 282, 7343, 11453, 4762, 14231, 1912, 16, 25, 5999, 478, 1358, 9763, 16, 374, 1882, 294, 418, 345, 3271, 16, 453, 428, 41069, 1063, 27200, 27310, 670, 722, 360, 4111, 1561, 2640, 14426, 334, 7711, 272, 6632, 389, 312, 1887, 16, 1139, 2961, 7585, 5995, 309, 19092, 910, 510, 1109, 421, 2004, 778, 16, 29546, 309, 1247, 7638, 17, 2589, 18, 478, 563, 294, 418, 345, 15273, 1329, 322, 9040, 16, 289, 481, 726, 1314, 5416, 910, 510, 5273, 294, 2506, 383, 41490, 5035, 446, 1532, 18, 510, 1178, 840, 5816, 1569, 294, 418, 345, 3271, 309, 1857, 27465, 15474, 16, 870, 8840, 2921, 530, 8310, 17, 1532, 17536, 5146, 572, 282, 16565, 416, 5555, 289, 5891, 530, 481, 428, 48669, 7179, 4889, 16, 367, 3569, 9297, 552, 39426, 15006, 10355, 9573, 2632, 16, 753, 481, 13639, 1519, 289, 2856, 17998, 1086, 861, 824, 505, 4734, 16, 13547, 4793, 7272, 322, 7393, 651, 7415, 16, 1381, 15409, 1519, 26834, 18, 478, 7448, 23642, 27310, 24825, 1683, 953, 322, 895, 651, 492, 281, 2887, 2742, 685, 4987, 309, 6441, 41043, 2682, 7658, 6632, 9960, 32948, 16, 367, 322, 309, 24825, 271, 18, 41242, 526, 19842, 483, 1314, 27450, 322, 411, 42720, 349, 19092, 16, 367, 411, 12830, 16, 1754, 31109, 467, 1188, 36689, 4887, 18, 640, 30225, 4889, 1269, 852, 17, 3975, 324, 322, 2245, 638, 910, 510, 18789, 5035, 554, 1532, 18, 2949, 20961, 294, 418, 345, 2682, 16, 3569, 38686, 30549, 857, 764, 7893, 1817, 2559, 334, 10268, 32435, 21985, 24598, 18, 5161, 16, 28402, 9733, 28167, 9616, 4889, 9302, 3536, 16, 961, 7284, 802, 371, 7233, 12278, 18, 1787, 1335, 4380, 12350, 47129, 42236, 16, 5184, 1133, 3018, 309, 961, 1747, 28788, 294, 3569, 38686, 18, 478, 4348, 41673, 47129, 42236, 16, 20940, 5184, 1133, 3018, 309, 1129, 329, 12967, 5319, 225, 910, 1224, 7332, 6080, 478, 13261, 470, 1694, 6677, 3569, 38686, 9001, 421, 2004, 718, 309, 11073, 2713, 2585, 7067, 334, 10268, 27683, 21985, 5006, 18, 21552, 1038, 11836, 16, 374, 1542, 25433, 840, 40570, 289, 309, 16365, 16, 36645, 371, 12278, 23061, 4889, 18, 985, 40530, 478, 46088, 18, 8381, 470, 282, 3569, 9297, 464, 16, 309, 11204, 1542, 25433, 22083, 541, 1033, 32595, 18533, 1087, 288, 3174, 431, 510, 753, 4417, 2678, 11567, 22132, 6632, 9960, 7421, 11963, 2599, 11359, 281, 4947, 4611, 15310, 6632, 6087, 14353, 16, 41994, 8524, 14222, 722, 360, 17356, 309, 20432, 33057, 18, 38455, 1270, 6457, 17904, 382, 8527, 20728, 17719, 6623, 510, 428, 39145, 16, 453, 289, 8501, 1901, 289, 28636, 4568, 510, 12350, 15333, 281, 3734, 779, 18, 18619, 3569, 38686, 1978, 857, 21398, 5630, 2470, 2294, 27526, 6632, 314, 33059, 510, 334, 3163, 421, 2004, 718, 16, 282, 4675, 808, 4277, 1826, 454, 12486, 1033, 10367, 15474, 16, 322, 475, 411, 1639, 302, 19097, 519, 8214, 22150, 18, 365, 3569, 38686, 6881, 16, 374, 16, 827, 21446, 12890, 1747, 9038, 1143, 4076, 16, 481, 8350, 2048, 11304, 3595, 16365, 1033, 33477, 758, 18, 15556, 38655, 25172, 4135, 421, 2004, 778, 6455, 20676, 309, 10276, 454, 43943, 2516, 510, 371, 15128, 16, 374, 9577, 2664, 21005, 3455, 282, 8527, 8292, 2567, 9206, 289, 8026, 4364, 697, 1857, 18, 478, 4348, 16593, 2464, 319, 2470, 2294, 1087, 29172, 366, 309, 4889, 3836, 505, 687, 541, 42326, 309, 2923, 1175, 16, 481, 28768, 40333, 6746, 41566, 25433, 541, 8434, 27465, 4889, 22510, 509, 910, 510, 1109, 8099, 18, 817, 1257, 826, 706, 16, 374, 371, 803, 1698, 953, 4775, 25725, 18578, 510, 281, 9959, 23946, 289, 827, 28286, 349, 17784, 3929, 47111, 6906, 5184, 718, 49681, 18, 478, 4670, 4060, 1712, 282, 3569, 9297, 266, 7969, 7193, 4726, 2944, 5404, 6908, 18409, 349, 24150, 18, 640, 7266, 1939, 986, 481, 685, 23936, 17853, 4831, 16, 367, 1441, 2471, 1559, 30941, 670, 322, 30941, 26834, 448, 47986, 910, 510, 1109, 5035, 554, 1532, 18, 824, 505, 3163, 16, 281, 5345, 2389, 411, 11758, 7067, 371, 3569, 38686, 537, 2361, 411, 1967, 17929, 322, 6268, 862, 18, 478, 5801, 5327, 23037, 9362, 9025, 6457, 349, 17904, 761, 670, 2754, 19212, 15474, 16, 2470, 1587, 4277, 1826, 454, 16, 651, 502, 481, 16, 2091, 16, 35405, 910, 510, 1109, 478, 46088, 18, 8381, 470, 8624, 478, 22388, 2248, 262, 4916, 910, 20295, 4944, 1483, 14940, 18, 478, 684, 10814, 16, 1743, 322, 19740, 519, 17407, 48882, 3847, 16, 289, 502, 16, 290, 828, 3153, 8099, 16, 639, 5891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11304, 3595, 16365, 16, 34124, 835, 309, 42236, 16, 6457, 349, 17904, 761, 2470, 1587, 4277, 1826, 454, 6623, 510, 309, 2713, 7292, 35351, 334, 4889, 8099, 5319, 6455, 9441, 14457, 3531, 7272, 334, 12278, 4889, 370, 287, 600, 18, 31224, 30, 45534, 4562, 14729, 322, 22151, 8969, 11304, 3774, 4889, 16, 13749, 7638, 17, 13522, 2407, 6370, 16640, 309, 33762, 11073, 2713, 2585, 7067, 334, 10268, 7583, 21985, 5006, 18, 478, 1098, 278, 361, 12535, 24552, 309, 8357, 5781, 6632, 303, 645, 289, 40236, 282, 2100, 2239, 9, 334, 27310, 541, 19842, 483, 8922, 2602, 3229, 1223, 541, 17926, 32435, 21985, 24598, 309, 33921, 5814, 18, 5093, 15323, 18584, 1519, 30, 1542, 8010, 322, 46493, 16, 322, 7820, 910, 510, 1109, 16640, 18, 817, 1038, 9327, 1247, 510, 1513, 520, 10846, 2089, 15635, 30521, 8156, 670, 16895, 3531, 6101, 7904, 8465, 282, 12996, 32435, 21985, 24598, 18, 478, 21393, 8369, 294, 418, 9587, 8275, 16, 8369, 32361, 448, 16, 289, 16, 8507, 16, 322, 1514, 22508, 16, 912, 7059, 26581, 40236, 16, 912, 7059, 35309, 15743, 40236, 309, 28724, 416, 5137, 18, 1303, 8059, 322, 32703, 448, 16, 515, 282, 6449, 1750, 2710, 17, 299, 4075, 7099, 1381, 16, 870, 4075, 6535, 282, 37161, 5439, 16, 289, 870, 4075, 9523, 4135, 910, 510, 15875, 20840, 5439, 6080, 478, 13261, 861, 1895, 1443, 16, 961, 1381, 7099, 16, 24185, 364, 8099, 5319, 4137, 421, 2004, 778, 18, 817, 6455, 2988, 26581, 15635, 552, 541, 19842, 483, 334, 2866, 1864, 309, 3116, 10460, 6134, 473, 275, 4675, 808, 19842, 394, 322, 24259, 27310, 309, 6632, 348, 364, 1254, 934, 2988, 7051, 2094, 25780, 9608, 3244, 309, 1857, 27465, 15474, 18, 39726, 990, 1574, 3149, 5037, 24186, 11413, 6455, 687, 282, 970, 1750, 16, 827, 35263, 5781, 6623, 334, 8872, 779, 1747, 4803, 1281, 5999, 7106, 16, 374, 282, 4440, 1045, 14702, 27465, 15474, 282, 7343, 11453, 4762, 14231, 1912, 16, 25, 5999, 478, 1358, 9763, 16, 374, 1882, 294, 418, 345, 3271, 16, 453, 428, 41069, 1063, 27200, 27310, 670, 722, 360, 4111, 1561, 2640, 14426, 334, 7711, 272, 6632, 389, 312, 1887, 16, 1139, 2961, 7585, 5995, 309, 19092, 910, 510, 1109, 421, 2004, 778, 16, 29546, 309, 1247, 7638, 17, 2589, 18, 478, 563, 294, 418, 345, 15273, 1329, 322, 9040, 16, 289, 481, 726, 1314, 5416, 910, 510, 5273, 294, 2506, 383, 41490, 5035, 446, 1532, 18, 510, 1178, 840, 5816, 1569, 294, 418, 345, 3271, 309, 1857, 27465, 15474, 16, 870, 8840, 2921, 530, 8310, 17, 1532, 17536, 5146, 572, 282, 16565, 416, 5555, 289, 5891, 530, 481, 428, 48669, 7179, 4889, 16, 367, 3569, 9297, 552, 39426, 15006, 10355, 9573, 2632, 16, 753, 481, 13639, 1519, 289, 2856, 17998, 1086, 861, 824, 505, 4734, 16, 13547, 4793, 7272, 322, 7393, 651, 7415, 16, 1381, 15409, 1519, 26834, 18, 478, 7448, 23642, 27310, 24825, 1683, 953, 322, 895, 651, 492, 281, 2887, 2742, 685, 4987, 309, 6441, 41043, 2682, 7658, 6632, 9960, 32948, 16, 367, 322, 309, 24825, 271, 18, 41242, 526, 19842, 483, 1314, 27450, 322, 411, 42720, 349, 19092, 16, 367, 411, 12830, 16, 1754, 31109, 467, 1188, 36689, 4887, 18, 640, 30225, 4889, 1269, 852, 17, 3975, 324, 322, 2245, 638, 910, 510, 18789, 5035, 554, 1532, 18, 2949, 20961, 294, 418, 345, 2682, 16, 3569, 38686, 30549, 857, 764, 7893, 1817, 2559, 334, 10268, 32435, 21985, 24598, 18, 5161, 16, 28402, 9733, 28167, 9616, 4889, 9302, 3536, 16, 961, 7284, 802, 371, 7233, 12278, 18, 1787, 1335, 4380, 12350, 47129, 42236, 16, 5184, 1133, 3018, 309, 961, 1747, 28788, 294, 3569, 38686, 18, 478, 4348, 41673, 47129, 42236, 16, 20940, 5184, 1133, 3018, 309, 1129, 329, 12967, 5319, 225, 910, 1224, 7332, 6080, 478, 13261, 470, 1694, 6677, 3569, 38686, 9001, 421, 2004, 718, 309, 11073, 2713, 2585, 7067, 334, 10268, 27683, 21985, 5006, 18, 21552, 1038, 11836, 16, 374, 1542, 25433, 840, 40570, 289, 309, 16365, 16, 36645, 371, 12278, 23061, 4889, 18, 985, 40530, 478, 46088, 18, 8381, 470, 282, 3569, 9297, 464, 16, 309, 11204, 1542, 25433, 22083, 541, 1033, 32595, 18533, 1087, 288, 3174, 431, 510, 753, 4417, 2678, 11567, 22132, 6632, 9960, 7421, 11963, 2599, 11359, 281, 4947, 4611, 15310, 6632, 6087, 14353, 16, 41994, 8524, 14222, 722, 360, 17356, 309, 20432, 33057, 18, 38455, 1270, 6457, 17904, 382, 8527, 20728, 17719, 6623, 510, 428, 39145, 16, 453, 289, 8501, 1901, 289, 28636, 4568, 510, 12350, 15333, 281, 3734, 779, 18, 18619, 3569, 38686, 1978, 857, 21398, 5630, 2470, 2294, 27526, 6632, 314, 33059, 510, 334, 3163, 421, 2004, 718, 16, 282, 4675, 808, 4277, 1826, 454, 12486, 1033, 10367, 15474, 16, 322, 475, 411, 1639, 302, 19097, 519, 8214, 22150, 18, 365, 3569, 38686, 6881, 16, 374, 16, 827, 21446, 12890, 1747, 9038, 1143, 4076, 16, 481, 8350, 2048, 11304, 3595, 16365, 1033, 33477, 758, 18, 15556, 38655, 25172, 4135, 421, 2004, 778, 6455, 20676, 309, 10276, 454, 43943, 2516, 510, 371, 15128, 16, 374, 9577, 2664, 21005, 3455, 282, 8527, 8292, 2567, 9206, 289, 8026, 4364, 697, 1857, 18, 478, 4348, 16593, 2464, 319, 2470, 2294, 1087, 29172, 366, 309, 4889, 3836, 505, 687, 541, 42326, 309, 2923, 1175, 16, 481, 28768, 40333, 6746, 41566, 25433, 541, 8434, 27465, 4889, 22510, 509, 910, 510, 1109, 8099, 18, 817, 1257, 826, 706, 16, 374, 371, 803, 1698, 953, 4775, 25725, 18578, 510, 281, 9959, 23946, 289, 827, 28286, 349, 17784, 3929, 47111, 6906, 5184, 718, 49681, 18, 478, 4670, 4060, 1712, 282, 3569, 9297, 266, 7969, 7193, 4726, 2944, 5404, 6908, 18409, 349, 24150, 18, 640, 7266, 1939, 986, 481, 685, 23936, 17853, 4831, 16, 367, 1441, 2471, 1559, 30941, 670, 322, 30941, 26834, 448, 47986, 910, 510, 1109, 5035, 554, 1532, 18, 824, 505, 3163, 16, 281, 5345, 2389, 411, 11758, 7067, 371, 3569, 38686, 537, 2361, 411, 1967, 17929, 322, 6268, 862, 18, 478, 5801, 5327, 23037, 9362, 9025, 6457, 349, 17904, 761, 670, 2754, 19212, 15474, 16, 2470, 1587, 4277, 1826, 454, 16, 651, 502, 481, 16, 2091, 16, 35405, 910, 510, 1109, 478, 46088, 18, 8381, 470, 8624, 478, 22388, 2248, 262, 4916, 910, 20295, 4944, 1483, 14940, 18, 478, 684, 10814, 16, 1743, 322, 19740, 519, 17407, 48882, 3847, 16, 289, 502, 16, 290, 828, 3153, 8099, 16, 639, 5891 ]
[ 3890, 428, 8369, 18, 7042, 411, 1129, 16, 2654, 11271, 16, 322, 2181, 21029, 910, 510, 4848, 492, 18, 640, 13519, 11056, 478, 22388, 2248, 262, 3093, 470, 12679, 281, 16980, 34496, 16, 282, 2114, 9921, 16, 374, 3569, 38686, 478, 404, 2397, 3018, 40122, 8369, 334, 38008, 482, 12893, 309, 2713, 2696, 5040, 749, 17407, 282, 43235, 22398, 1207, 289, 25801, 17686, 24492, 861, 9857, 21394, 9934, 510, 515, 1011, 13516, 2713, 2585, 7067, 18, 824, 3163, 1483, 29180, 16, 477, 13420, 5576, 38348, 19934, 281, 12189, 536, 22398, 1518, 334, 478, 27085, 416, 13176, 470, 17773, 4889, 18, 478, 15995, 840, 2678, 23683, 349, 670, 1279, 16901, 17929, 18, 1860, 1859, 662, 651, 334, 5833, 3538, 518, 1749, 16, 281, 6133, 3153, 417, 16, 289, 322, 687, 10172, 478, 22388, 2248, 262, 4916, 470, 510, 4195, 1569, 34302, 30, 22794, 1829, 16390, 4611, 16, 374, 44367, 40333, 25761, 14735, 1943, 25208, 16, 515, 1215, 294, 418, 345, 3271, 651, 481, 39130, 910, 510, 1109, 20295, 18, 824, 505, 4734, 16, 1542, 25433, 1833, 478, 560, 1024, 305, 470, 411, 13006, 354, 16365, 16, 43490, 3793, 478, 29172, 3675, 470, 49253, 510, 453, 22023, 26370, 17, 277, 5944, 2340, 277, 18, 478, 40806, 17, 299, 16, 3229, 828, 20166, 2388, 4465, 7638, 272, 16, 10660, 373, 37602, 6149, 281, 5345, 2389, 18, 439, 1441, 656, 3984, 18582, 502, 16, 374, 289, 453, 726, 14253, 1569, 9441, 14457, 18, 1937, 33371, 3419, 16873, 651, 481, 42788, 16, 785, 8257, 651, 481, 3574, 910, 510, 3893, 5035, 554, 1532, 18, 28043, 2696, 2172, 334, 10268, 4889, 685, 6065, 282, 11023, 5049, 779, 18, 14587, 1421, 4570, 492, 9170, 424, 8624, 1518, 9001, 9620, 12541, 309, 5572, 11073, 282, 2343, 5021, 779, 639, 7239, 3003, 290, 11184, 26254, 12272, 510, 23061, 4889, 510, 541, 7233, 8434, 42714, 21985, 24598, 31, 282, 40400, 3569, 38686, 5290, 24552, 5184, 718, 289, 1073, 1602, 17, 306, 315, 466, 718, 4889, 18, 640, 35351, 453, 289, 322, 639, 7239, 41716, 4075, 290, 970, 16, 4080, 9945, 7441, 840, 19302, 8156, 32435, 21985, 24598, 282, 7823, 18, 824, 3163, 421, 2004, 718, 16, 5092, 1293, 13500, 30, 294, 418, 345, 3271, 16, 360, 4111, 41823, 16, 25780, 15635, 9305, 6632, 348, 364, 871, 670, 15635, 9305, 17345, 339, 1321, 309, 10933, 16365, 18, 21552, 2815, 16, 374, 1247, 290, 4277, 1826, 582, 840, 8271, 9488, 282, 2343, 779, 18, 478, 684, 9747, 779, 656, 16962, 25956, 16, 428, 3419, 36692, 334, 13553, 2381, 360, 13006, 354, 27465, 15474, 910, 510, 7332, 1694, 421, 2004, 718, 478, 15210, 861, 5181, 16, 309, 25804, 8099, 4848, 16, 374, 27081, 309, 502, 16, 374, 282, 7823, 7441, 3118, 11981, 411, 25472, 7043, 4889, 16, 12509, 1190, 687, 1087, 42244, 309, 16615, 6180, 9756, 18, 478, 4182, 10201, 2433, 13269, 21985, 4397, 509, 16, 537, 2197, 411, 4889, 7122, 931, 453, 322, 44184, 30, 25951, 3400, 21442, 5064, 15474, 1494, 8712, 484, 687, 4426, 4277, 1826, 582, 910, 510, 2715, 309, 481, 1483, 14940, 18, 2, 1, 87, 1456, 81, 2448, 30, 732, 43192, 9065, 1496, 933, 6851, 290, 1360, 31330, 281, 9515, 5305, 16902, 14840, 6677, 4000, 282, 30628, 1212, 35557, 15161, 309, 27914, 714, 375, 1901, 28760, 282, 28699, 464, 306, 1709, 2557, 334, 18186, 11337, 282, 10013, 1045, 22104, 2001, 9001, 2075, 809, 401, 18, 23480, 1340, 13737, 290, 970, 16, 374, 5736, 1852, 9402, 40483, 16, 367, 1038, 290, 38508, 9878, 2468, 1810, 9065, 1496, 933, 18, 31224, 30, 22681, 1175, 4137, 6732, 567, 12241, 16, 4016, 4209, 16, 14900, 2766, 381, 38032, 18083, 9065, 1496, 933, 360, 9515, 5305, 16902, 14840, 6677, 4000, 282, 30628, 1212, 35557, 15161, 18, 2263, 9065, 1496, 933, 6851, 290, 1360, 31330, 16, 19482, 309, 27914, 714, 375, 1901, 28760, 282, 28699, 464, 306, 1709, 2557, 334, 18186, 11337, 282, 10013, 1045, 22104, 2001, 9001, 2075, 809, 401, 18, 36431, 347, 2959, 9065, 1496, 933, 840, 20479, 354, 309, 3059, 6677, 7067, 18820, 39419, 342, 5136, 37679, 367, 16, 988, 492, 396, 20211, 1033, 2555, 986, 16, 5923, 951, 48631, 18, 28462, 25835, 36388, 10618, 27960, 288, 1496, 4848, 16, 988, 2915, 5304, 3624, 9065, 1496, 933, 16, 5923, 391, 26448, 18, 478, 2176, 2456, 2463, 9065, 1496, 933, 895, 6273, 309, 8357, 16, 827, 975, 36751, 18, 817, 685, 14158, 1611, 569, 2409, 289, 827, 373, 322, 7305, 16, 502, 757, 373, 2240, 1190, 14261, 5135, 17, 299, 910, 510, 16328, 14472, 8851, 26503, 1821, 14969, 18, 3791, 23024, 37465, 290, 5941, 26218, 2166, 2887, 10712, 474, 8844, 624, 18, 478, 22235, 1247, 322, 282, 9065, 1496, 933, 18, 2263, 8115, 474, 8844, 624, 2944, 965, 411, 14563, 18, 889, 4519, 451, 26037, 4248, 277, 16, 1029, 15156, 2697, 16302, 668, 15285, 454, 16, 1029, 9904, 15156, 1143, 5074, 7113, 289, 12549, 1378, 21584, 16, 828, 749, 1047, 16, 367, 309, 1129, 22359, 12232, 2764, 18, 889, 939, 41408, 25269, 9862, 396, 27277, 343, 16, 1586, 322, 5695, 13505, 7402, 2675, 9093, 11656, 1519, 18, 629, 9763, 16, 374, 1177, 8115, 474, 8844, 624, 1381, 38039, 910, 510, 11836, 27960, 288, 1496, 18, 23569, 16986, 9622, 8043, 9487, 24619, 16663, 7377, 371, 21989, 2407, 8973, 385, 6599, 23081, 23669, 290, 970, 16, 374, 5736, 1852, 9402, 40483, 18, 478, 1358, 373, 322, 1109, 16, 374, 20482, 18568, 9065, 1496, 933, 5121, 7242, 3328, 18, 5005, 505, 808, 34554, 435, 16, 1548, 374, 282, 2159, 808, 294, 3095, 825, 15922, 478, 28516, 342, 5136, 37679, 470, 2141, 289, 294, 33887, 18568, 9065, 1496, 933, 282, 4810, 33031, 2507, 726, 8851, 16804, 4830, 334, 6567, 2381, 14104, 2347, 16, 1029, 5195, 6843, 294, 39419, 342, 5136, 20797, 721, 18, 3397, 14104, 2347, 14084, 1595, 3059, 18, 23976, 16, 7613, 9065, 1496, 933, 34738, 19226, 2095, 1728, 25555, 29121, 18, 18006, 289, 2174, 12094, 647, 3003, 18, 23162, 1513, 639, 20866, 272, 28054, 1312, 4474, 1043, 225, 910, 510, 11836, 12189, 18, 9065, 1496, 933, 1559, 13829, 4008, 567, 808, 311, 2368, 16978, 281, 30012, 282, 11023, 4440, 779, 18, 478, 1358, 3027, 2023, 396, 870, 24268, 607, 18, 1178, 5571, 36063, 16, 670, 16, 428, 1314, 678, 7291, 16, 13143, 16, 322, 13044, 3624, 16, 322, 895, 12599, 16, 502, 656, 281, 1292, 27993, 6354, 2419, 6863, 289, 360, 32259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3890, 428, 8369, 18, 7042, 411, 1129, 16, 2654, 11271, 16, 322, 2181, 21029, 910, 510, 4848, 492, 18, 640, 13519, 11056, 478, 22388, 2248, 262, 3093, 470, 12679, 281, 16980, 34496, 16, 282, 2114, 9921, 16, 374, 3569, 38686, 478, 404, 2397, 3018, 40122, 8369, 334, 38008, 482, 12893, 309, 2713, 2696, 5040, 749, 17407, 282, 43235, 22398, 1207, 289, 25801, 17686, 24492, 861, 9857, 21394, 9934, 510, 515, 1011, 13516, 2713, 2585, 7067, 18, 824, 3163, 1483, 29180, 16, 477, 13420, 5576, 38348, 19934, 281, 12189, 536, 22398, 1518, 334, 478, 27085, 416, 13176, 470, 17773, 4889, 18, 478, 15995, 840, 2678, 23683, 349, 670, 1279, 16901, 17929, 18, 1860, 1859, 662, 651, 334, 5833, 3538, 518, 1749, 16, 281, 6133, 3153, 417, 16, 289, 322, 687, 10172, 478, 22388, 2248, 262, 4916, 470, 510, 4195, 1569, 34302, 30, 22794, 1829, 16390, 4611, 16, 374, 44367, 40333, 25761, 14735, 1943, 25208, 16, 515, 1215, 294, 418, 345, 3271, 651, 481, 39130, 910, 510, 1109, 20295, 18, 824, 505, 4734, 16, 1542, 25433, 1833, 478, 560, 1024, 305, 470, 411, 13006, 354, 16365, 16, 43490, 3793, 478, 29172, 3675, 470, 49253, 510, 453, 22023, 26370, 17, 277, 5944, 2340, 277, 18, 478, 40806, 17, 299, 16, 3229, 828, 20166, 2388, 4465, 7638, 272, 16, 10660, 373, 37602, 6149, 281, 5345, 2389, 18, 439, 1441, 656, 3984, 18582, 502, 16, 374, 289, 453, 726, 14253, 1569, 9441, 14457, 18, 1937, 33371, 3419, 16873, 651, 481, 42788, 16, 785, 8257, 651, 481, 3574, 910, 510, 3893, 5035, 554, 1532, 18, 28043, 2696, 2172, 334, 10268, 4889, 685, 6065, 282, 11023, 5049, 779, 18, 14587, 1421, 4570, 492, 9170, 424, 8624, 1518, 9001, 9620, 12541, 309, 5572, 11073, 282, 2343, 5021, 779, 639, 7239, 3003, 290, 11184, 26254, 12272, 510, 23061, 4889, 510, 541, 7233, 8434, 42714, 21985, 24598, 31, 282, 40400, 3569, 38686, 5290, 24552, 5184, 718, 289, 1073, 1602, 17, 306, 315, 466, 718, 4889, 18, 640, 35351, 453, 289, 322, 639, 7239, 41716, 4075, 290, 970, 16, 4080, 9945, 7441, 840, 19302, 8156, 32435, 21985, 24598, 282, 7823, 18, 824, 3163, 421, 2004, 718, 16, 5092, 1293, 13500, 30, 294, 418, 345, 3271, 16, 360, 4111, 41823, 16, 25780, 15635, 9305, 6632, 348, 364, 871, 670, 15635, 9305, 17345, 339, 1321, 309, 10933, 16365, 18, 21552, 2815, 16, 374, 1247, 290, 4277, 1826, 582, 840, 8271, 9488, 282, 2343, 779, 18, 478, 684, 9747, 779, 656, 16962, 25956, 16, 428, 3419, 36692, 334, 13553, 2381, 360, 13006, 354, 27465, 15474, 910, 510, 7332, 1694, 421, 2004, 718, 478, 15210, 861, 5181, 16, 309, 25804, 8099, 4848, 16, 374, 27081, 309, 502, 16, 374, 282, 7823, 7441, 3118, 11981, 411, 25472, 7043, 4889, 16, 12509, 1190, 687, 1087, 42244, 309, 16615, 6180, 9756, 18, 478, 4182, 10201, 2433, 13269, 21985, 4397, 509, 16, 537, 2197, 411, 4889, 7122, 931, 453, 322, 44184, 30, 25951, 3400, 21442, 5064, 15474, 1494, 8712, 484, 687, 4426, 4277, 1826, 582, 910, 510, 2715, 309, 481, 1483, 14940, 18, 2, 1, 87, 1456, 81, 2448, 30, 732, 43192, 9065, 1496, 933, 6851, 290, 1360, 31330, 281, 9515, 5305, 16902, 14840, 6677, 4000, 282, 30628, 1212, 35557, 15161, 309, 27914, 714, 375, 1901, 28760, 282, 28699, 464, 306, 1709, 2557, 334, 18186, 11337, 282, 10013, 1045, 22104, 2001, 9001, 2075, 809, 401, 18, 23480, 1340, 13737, 290, 970, 16, 374, 5736, 1852, 9402, 40483, 16, 367, 1038, 290, 38508, 9878, 2468, 1810, 9065, 1496, 933, 18, 31224, 30, 22681, 1175, 4137, 6732, 567, 12241, 16, 4016, 4209, 16, 14900, 2766, 381, 38032, 18083, 9065, 1496, 933, 360, 9515, 5305, 16902, 14840, 6677, 4000, 282, 30628, 1212, 35557, 15161, 18, 2263, 9065, 1496, 933, 6851, 290, 1360, 31330, 16, 19482, 309, 27914, 714, 375, 1901, 28760, 282, 28699, 464, 306, 1709, 2557, 334, 18186, 11337, 282, 10013, 1045, 22104, 2001, 9001, 2075, 809, 401, 18, 36431, 347, 2959, 9065, 1496, 933, 840, 20479, 354, 309, 3059, 6677, 7067, 18820, 39419, 342, 5136, 37679, 367, 16, 988, 492, 396, 20211, 1033, 2555, 986, 16, 5923, 951, 48631, 18, 28462, 25835, 36388, 10618, 27960, 288, 1496, 4848, 16, 988, 2915, 5304, 3624, 9065, 1496, 933, 16, 5923, 391, 26448, 18, 478, 2176, 2456, 2463, 9065, 1496, 933, 895, 6273, 309, 8357, 16, 827, 975, 36751, 18, 817, 685, 14158, 1611, 569, 2409, 289, 827, 373, 322, 7305, 16, 502, 757, 373, 2240, 1190, 14261, 5135, 17, 299, 910, 510, 16328, 14472, 8851, 26503, 1821, 14969, 18, 3791, 23024, 37465, 290, 5941, 26218, 2166, 2887, 10712, 474, 8844, 624, 18, 478, 22235, 1247, 322, 282, 9065, 1496, 933, 18, 2263, 8115, 474, 8844, 624, 2944, 965, 411, 14563, 18, 889, 4519, 451, 26037, 4248, 277, 16, 1029, 15156, 2697, 16302, 668, 15285, 454, 16, 1029, 9904, 15156, 1143, 5074, 7113, 289, 12549, 1378, 21584, 16, 828, 749, 1047, 16, 367, 309, 1129, 22359, 12232, 2764, 18, 889, 939, 41408, 25269, 9862, 396, 27277, 343, 16, 1586, 322, 5695, 13505, 7402, 2675, 9093, 11656, 1519, 18, 629, 9763, 16, 374, 1177, 8115, 474, 8844, 624, 1381, 38039, 910, 510, 11836, 27960, 288, 1496, 18, 23569, 16986, 9622, 8043, 9487, 24619, 16663, 7377, 371, 21989, 2407, 8973, 385, 6599, 23081, 23669, 290, 970, 16, 374, 5736, 1852, 9402, 40483, 18, 478, 1358, 373, 322, 1109, 16, 374, 20482, 18568, 9065, 1496, 933, 5121, 7242, 3328, 18, 5005, 505, 808, 34554, 435, 16, 1548, 374, 282, 2159, 808, 294, 3095, 825, 15922, 478, 28516, 342, 5136, 37679, 470, 2141, 289, 294, 33887, 18568, 9065, 1496, 933, 282, 4810, 33031, 2507, 726, 8851, 16804, 4830, 334, 6567, 2381, 14104, 2347, 16, 1029, 5195, 6843, 294, 39419, 342, 5136, 20797, 721, 18, 3397, 14104, 2347, 14084, 1595, 3059, 18, 23976, 16, 7613, 9065, 1496, 933, 34738, 19226, 2095, 1728, 25555, 29121, 18, 18006, 289, 2174, 12094, 647, 3003, 18, 23162, 1513, 639, 20866, 272, 28054, 1312, 4474, 1043, 225, 910, 510, 11836, 12189, 18, 9065, 1496, 933, 1559, 13829, 4008, 567, 808, 311, 2368, 16978, 281, 30012, 282, 11023, 4440, 779, 18, 478, 1358, 3027, 2023, 396, 870, 24268, 607, 18, 1178, 5571, 36063, 16, 670, 16, 428, 1314, 678, 7291, 16, 13143, 16, 322, 13044, 3624, 16, 322, 895, 12599, 16, 502, 656, 281, 1292, 27993, 6354, 2419, 6863, 289, 360, 32259 ]
[ 1423, 34931, 16, 515, 16, 9121, 16, 282, 4301, 5738, 910, 510, 1109, 9065, 1496, 933, 16, 1372, 1779, 1655, 19389, 13553, 331, 2514, 30391, 608, 677, 1295, 18, 2227, 8844, 304, 282, 16526, 18175, 1559, 6363, 1312, 4474, 609, 18, 365, 1177, 575, 1119, 4137, 6732, 46708, 360, 43142, 474, 8108, 347, 282, 15970, 17, 38166, 1212, 35557, 15161, 19243, 7973, 4574, 15043, 18, 2227, 8844, 304, 282, 43308, 35557, 15161, 473, 3127, 18175, 13, 9540, 7550, 8049, 20605, 3979, 16, 14853, 1779, 4419, 2412, 2822, 1177, 3059, 14943, 3584, 476, 3583, 18, 8894, 4963, 4830, 282, 11925, 18175, 9540, 3720, 1789, 712, 1051, 18, 985, 4725, 18165, 6187, 16986, 10035, 3352, 6096, 16168, 375, 1624, 3531, 10781, 16672, 290, 970, 16, 374, 8115, 474, 8844, 624, 4362, 1033, 2599, 12418, 289, 15413, 1116, 281, 10035, 4947, 4611, 16, 5923, 727, 4742, 18, 478, 21037, 5809, 16, 374, 27652, 864, 47550, 4126, 13144, 37116, 474, 8844, 291, 1634, 19335, 16, 481, 939, 4748, 18, 889, 6411, 16, 374, 309, 474, 8844, 291, 17101, 2444, 3655, 10044, 300, 16, 745, 41012, 12356, 10722, 910, 510, 11836, 45890, 18, 824, 4734, 17946, 343, 16, 282, 43444, 6003, 481, 939, 16089, 7834, 18, 478, 677, 3198, 1209, 7426, 3029, 10535, 474, 8844, 276, 10191, 1033, 478, 1079, 313, 713, 611, 758, 470, 282, 43444, 6003, 978, 1694, 18, 4663, 478, 1079, 313, 713, 611, 622, 470, 10787, 282, 970, 2875, 1500, 3952, 16, 1029, 329, 1129, 726, 912, 910, 510, 11836, 12189, 18, 824, 505, 3163, 16, 282, 1335, 2616, 269, 464, 2805, 31893, 17468, 14644, 4090, 474, 8108, 347, 23187, 15046, 8747, 18083, 8049, 20605, 13430, 18, 385, 2107, 1963, 16, 2301, 23603, 16, 961, 3255, 22907, 282, 836, 271, 37965, 474, 8844, 291, 16, 5684, 2678, 15571, 28676, 282, 15209, 16, 9299, 12987, 18, 478, 730, 15550, 25215, 14886, 334, 16323, 12150, 18075, 3461, 309, 5549, 4314, 2768, 18, 365, 7204, 1750, 4498, 16, 3848, 1223, 16, 3419, 290, 970, 16, 374, 5067, 28469, 7969, 2678, 24924, 965, 16, 515, 726, 282, 15209, 910, 510, 18789, 16168, 375, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 44018, 3304, 11601, 36941, 11486, 332, 9839, 17, 12212, 2497, 3040, 548, 2145, 18, 1034, 755, 277, 478, 682, 17858, 470, 14968, 281, 4079, 2845, 2203, 289, 3915, 975, 1055, 374, 322, 36121, 847, 18, 23654, 4256, 42552, 29559, 3672, 8169, 416, 4096, 289, 24181, 5303, 334, 3775, 10030, 1642, 18, 31224, 30, 677, 4256, 3040, 2662, 2145, 34950, 3672, 8169, 416, 4096, 411, 17, 431, 37122, 3304, 4422, 38788, 478, 682, 17858, 910, 1586, 9115, 11685, 309, 9839, 17, 15482, 2553, 18, 365, 9404, 17083, 1081, 19959, 11596, 6835, 17, 15900, 16, 25394, 50209, 305, 267, 16, 2124, 12090, 8392, 266, 16, 6835, 17, 1009, 37659, 9925, 16, 4280, 17, 19253, 16929, 289, 34116, 18, 34998, 17240, 25394, 50209, 305, 267, 6193, 433, 35457, 5678, 309, 2743, 564, 7272, 289, 31568, 49741, 13547, 309, 282, 5247, 8974, 16, 367, 5037, 2124, 12090, 8392, 354, 13906, 11827, 38911, 13112, 19211, 5554, 448, 25522, 17240, 18, 11568, 33157, 11742, 1472, 541, 21746, 16936, 289, 478, 5094, 323, 3599, 861, 12805, 2078, 322, 15416, 32846, 1617, 1642, 18, 23654, 42552, 6442, 16, 374, 8044, 2125, 953, 6354, 294, 5577, 536, 46967, 277, 35699, 16, 289, 24136, 1110, 16, 1085, 895, 16, 23921, 851, 41935, 38705, 670, 13622, 17767, 18, 478, 29579, 2125, 25597, 1177, 35588, 477, 3025, 3081, 1330, 16, 510, 2815, 15689, 2124, 12090, 8392, 354, 18, 651, 12612, 16, 45540, 9535, 1642, 861, 439, 25835, 6835, 17, 29596, 19209, 13028, 748, 10057, 26617, 22415, 25040, 16, 1978, 743, 773, 26753, 1642, 16, 5848, 4038, 2894, 291, 281, 18283, 16, 44729, 1186, 374, 17, 1796, 670, 5298, 7653, 6793, 18, 824, 505, 3163, 16, 583, 492, 15069, 22684, 387, 14061, 506, 16, 1055, 912, 2678, 18, 21548, 5937, 35588, 478, 682, 17858, 470, 281, 4079, 2845, 2203, 8731, 749, 5839, 1143, 23256, 4500, 18, 1135, 16, 6177, 5906, 8543, 10535, 473, 32278, 1156, 4500, 3406, 3711, 309, 25394, 50209, 305, 267, 18, 9873, 978, 3118, 2396, 3890, 7218, 539, 8495, 281, 6835, 17, 8415, 635, 30, 9650, 1569, 2364, 1032, 4003, 5447, 1532, 1015, 18, 37431, 20611, 432, 33361, 1038, 2396, 3890, 18, 421, 781, 350, 1340, 16144, 30, 478, 682, 17858, 470, 510, 481, 35588, 18250, 7300, 3951, 18, 824, 47270, 4275, 412, 8014, 16, 349, 11877, 21480, 997, 7431, 5259, 443, 6695, 699, 30880, 282, 45978, 913, 16, 282, 6835, 17, 17553, 2364, 2555, 699, 18, 378, 4607, 560, 11315, 282, 3040, 2662, 16, 961, 2076, 871, 305, 3304, 11601, 36941, 16, 44100, 4016, 308, 19, 267, 18, 28186, 44157, 14328, 5500, 1234, 43824, 1770, 585, 11519, 7361, 30478, 16612, 267, 12698, 16, 374, 478, 682, 17858, 470, 322, 453, 726, 749, 348, 13043, 18, 478, 4441, 20928, 35588, 18, 996, 374, 16, 827, 387, 719, 423, 11044, 2319, 17, 299, 18603, 289, 19903, 7844, 16, 481, 840, 30945, 20889, 541, 1354, 910, 510, 2815, 16612, 267, 18, 365, 4722, 445, 28386, 36941, 11486, 332, 3568, 516, 29695, 282, 17606, 1045, 16, 515, 1655, 35588, 32971, 706, 6054, 289, 32181, 1512, 32252, 30, 3333, 282, 2083, 4183, 10687, 20967, 334, 11427, 670, 6884, 2319, 17, 299, 334, 2200, 9942, 18, 365, 1177, 445, 475, 334, 17, 15253, 16, 3893, 12189, 411, 45978, 30868, 44157, 14328, 5054, 21933, 385, 341, 842, 18, 478, 677, 1177, 445, 2891, 30155, 5308, 289, 45505, 1512, 16, 374, 745, 2125, 9535, 1642, 16, 453, 374, 282, 1177, 445, 475, 2993, 953, 9093, 910, 510, 2548, 385, 341, 842, 18, 17878, 8044, 21663, 9460, 322, 939, 17, 299, 10701, 887, 478, 682, 17858, 861, 4039, 17, 16981, 4468, 382, 18949, 433, 263, 411, 6835, 17, 29596, 14899, 16, 374, 2900, 14829, 322, 639, 726, 779, 1272, 30, 478, 7494, 417, 2178, 10439, 16, 367, 349, 16490, 475, 19307, 17, 296, 804, 18, 14870, 1055, 11434, 309, 7856, 1165, 861, 478, 4529, 9089, 1337, 16, 5067, 5550, 16, 510, 2548, 625, 22875, 5888, 411, 25394, 50209, 305, 507, 18, 651, 889, 2174, 18503, 539, 28048, 510, 475, 7150, 19363, 1578, 294, 31552, 277, 16, 785, 1122, 3419, 7572, 13267, 289, 4266, 290, 43650, 861, 10051, 7821, 2414, 14397, 488, 45906, 637, 11792, 16, 374, 7814, 8749, 329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1423, 34931, 16, 515, 16, 9121, 16, 282, 4301, 5738, 910, 510, 1109, 9065, 1496, 933, 16, 1372, 1779, 1655, 19389, 13553, 331, 2514, 30391, 608, 677, 1295, 18, 2227, 8844, 304, 282, 16526, 18175, 1559, 6363, 1312, 4474, 609, 18, 365, 1177, 575, 1119, 4137, 6732, 46708, 360, 43142, 474, 8108, 347, 282, 15970, 17, 38166, 1212, 35557, 15161, 19243, 7973, 4574, 15043, 18, 2227, 8844, 304, 282, 43308, 35557, 15161, 473, 3127, 18175, 13, 9540, 7550, 8049, 20605, 3979, 16, 14853, 1779, 4419, 2412, 2822, 1177, 3059, 14943, 3584, 476, 3583, 18, 8894, 4963, 4830, 282, 11925, 18175, 9540, 3720, 1789, 712, 1051, 18, 985, 4725, 18165, 6187, 16986, 10035, 3352, 6096, 16168, 375, 1624, 3531, 10781, 16672, 290, 970, 16, 374, 8115, 474, 8844, 624, 4362, 1033, 2599, 12418, 289, 15413, 1116, 281, 10035, 4947, 4611, 16, 5923, 727, 4742, 18, 478, 21037, 5809, 16, 374, 27652, 864, 47550, 4126, 13144, 37116, 474, 8844, 291, 1634, 19335, 16, 481, 939, 4748, 18, 889, 6411, 16, 374, 309, 474, 8844, 291, 17101, 2444, 3655, 10044, 300, 16, 745, 41012, 12356, 10722, 910, 510, 11836, 45890, 18, 824, 4734, 17946, 343, 16, 282, 43444, 6003, 481, 939, 16089, 7834, 18, 478, 677, 3198, 1209, 7426, 3029, 10535, 474, 8844, 276, 10191, 1033, 478, 1079, 313, 713, 611, 758, 470, 282, 43444, 6003, 978, 1694, 18, 4663, 478, 1079, 313, 713, 611, 622, 470, 10787, 282, 970, 2875, 1500, 3952, 16, 1029, 329, 1129, 726, 912, 910, 510, 11836, 12189, 18, 824, 505, 3163, 16, 282, 1335, 2616, 269, 464, 2805, 31893, 17468, 14644, 4090, 474, 8108, 347, 23187, 15046, 8747, 18083, 8049, 20605, 13430, 18, 385, 2107, 1963, 16, 2301, 23603, 16, 961, 3255, 22907, 282, 836, 271, 37965, 474, 8844, 291, 16, 5684, 2678, 15571, 28676, 282, 15209, 16, 9299, 12987, 18, 478, 730, 15550, 25215, 14886, 334, 16323, 12150, 18075, 3461, 309, 5549, 4314, 2768, 18, 365, 7204, 1750, 4498, 16, 3848, 1223, 16, 3419, 290, 970, 16, 374, 5067, 28469, 7969, 2678, 24924, 965, 16, 515, 726, 282, 15209, 910, 510, 18789, 16168, 375, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 44018, 3304, 11601, 36941, 11486, 332, 9839, 17, 12212, 2497, 3040, 548, 2145, 18, 1034, 755, 277, 478, 682, 17858, 470, 14968, 281, 4079, 2845, 2203, 289, 3915, 975, 1055, 374, 322, 36121, 847, 18, 23654, 4256, 42552, 29559, 3672, 8169, 416, 4096, 289, 24181, 5303, 334, 3775, 10030, 1642, 18, 31224, 30, 677, 4256, 3040, 2662, 2145, 34950, 3672, 8169, 416, 4096, 411, 17, 431, 37122, 3304, 4422, 38788, 478, 682, 17858, 910, 1586, 9115, 11685, 309, 9839, 17, 15482, 2553, 18, 365, 9404, 17083, 1081, 19959, 11596, 6835, 17, 15900, 16, 25394, 50209, 305, 267, 16, 2124, 12090, 8392, 266, 16, 6835, 17, 1009, 37659, 9925, 16, 4280, 17, 19253, 16929, 289, 34116, 18, 34998, 17240, 25394, 50209, 305, 267, 6193, 433, 35457, 5678, 309, 2743, 564, 7272, 289, 31568, 49741, 13547, 309, 282, 5247, 8974, 16, 367, 5037, 2124, 12090, 8392, 354, 13906, 11827, 38911, 13112, 19211, 5554, 448, 25522, 17240, 18, 11568, 33157, 11742, 1472, 541, 21746, 16936, 289, 478, 5094, 323, 3599, 861, 12805, 2078, 322, 15416, 32846, 1617, 1642, 18, 23654, 42552, 6442, 16, 374, 8044, 2125, 953, 6354, 294, 5577, 536, 46967, 277, 35699, 16, 289, 24136, 1110, 16, 1085, 895, 16, 23921, 851, 41935, 38705, 670, 13622, 17767, 18, 478, 29579, 2125, 25597, 1177, 35588, 477, 3025, 3081, 1330, 16, 510, 2815, 15689, 2124, 12090, 8392, 354, 18, 651, 12612, 16, 45540, 9535, 1642, 861, 439, 25835, 6835, 17, 29596, 19209, 13028, 748, 10057, 26617, 22415, 25040, 16, 1978, 743, 773, 26753, 1642, 16, 5848, 4038, 2894, 291, 281, 18283, 16, 44729, 1186, 374, 17, 1796, 670, 5298, 7653, 6793, 18, 824, 505, 3163, 16, 583, 492, 15069, 22684, 387, 14061, 506, 16, 1055, 912, 2678, 18, 21548, 5937, 35588, 478, 682, 17858, 470, 281, 4079, 2845, 2203, 8731, 749, 5839, 1143, 23256, 4500, 18, 1135, 16, 6177, 5906, 8543, 10535, 473, 32278, 1156, 4500, 3406, 3711, 309, 25394, 50209, 305, 267, 18, 9873, 978, 3118, 2396, 3890, 7218, 539, 8495, 281, 6835, 17, 8415, 635, 30, 9650, 1569, 2364, 1032, 4003, 5447, 1532, 1015, 18, 37431, 20611, 432, 33361, 1038, 2396, 3890, 18, 421, 781, 350, 1340, 16144, 30, 478, 682, 17858, 470, 510, 481, 35588, 18250, 7300, 3951, 18, 824, 47270, 4275, 412, 8014, 16, 349, 11877, 21480, 997, 7431, 5259, 443, 6695, 699, 30880, 282, 45978, 913, 16, 282, 6835, 17, 17553, 2364, 2555, 699, 18, 378, 4607, 560, 11315, 282, 3040, 2662, 16, 961, 2076, 871, 305, 3304, 11601, 36941, 16, 44100, 4016, 308, 19, 267, 18, 28186, 44157, 14328, 5500, 1234, 43824, 1770, 585, 11519, 7361, 30478, 16612, 267, 12698, 16, 374, 478, 682, 17858, 470, 322, 453, 726, 749, 348, 13043, 18, 478, 4441, 20928, 35588, 18, 996, 374, 16, 827, 387, 719, 423, 11044, 2319, 17, 299, 18603, 289, 19903, 7844, 16, 481, 840, 30945, 20889, 541, 1354, 910, 510, 2815, 16612, 267, 18, 365, 4722, 445, 28386, 36941, 11486, 332, 3568, 516, 29695, 282, 17606, 1045, 16, 515, 1655, 35588, 32971, 706, 6054, 289, 32181, 1512, 32252, 30, 3333, 282, 2083, 4183, 10687, 20967, 334, 11427, 670, 6884, 2319, 17, 299, 334, 2200, 9942, 18, 365, 1177, 445, 475, 334, 17, 15253, 16, 3893, 12189, 411, 45978, 30868, 44157, 14328, 5054, 21933, 385, 341, 842, 18, 478, 677, 1177, 445, 2891, 30155, 5308, 289, 45505, 1512, 16, 374, 745, 2125, 9535, 1642, 16, 453, 374, 282, 1177, 445, 475, 2993, 953, 9093, 910, 510, 2548, 385, 341, 842, 18, 17878, 8044, 21663, 9460, 322, 939, 17, 299, 10701, 887, 478, 682, 17858, 861, 4039, 17, 16981, 4468, 382, 18949, 433, 263, 411, 6835, 17, 29596, 14899, 16, 374, 2900, 14829, 322, 639, 726, 779, 1272, 30, 478, 7494, 417, 2178, 10439, 16, 367, 349, 16490, 475, 19307, 17, 296, 804, 18, 14870, 1055, 11434, 309, 7856, 1165, 861, 478, 4529, 9089, 1337, 16, 5067, 5550, 16, 510, 2548, 625, 22875, 5888, 411, 25394, 50209, 305, 507, 18, 651, 889, 2174, 18503, 539, 28048, 510, 475, 7150, 19363, 1578, 294, 31552, 277, 16, 785, 1122, 3419, 7572, 13267, 289, 4266, 290, 43650, 861, 10051, 7821, 2414, 14397, 488, 45906, 637, 11792, 16, 374, 7814, 8749, 329 ]
[ 1512, 23030, 764, 289, 867, 16, 374, 25170, 16181, 3158, 24628, 7863, 17517, 597, 3499, 478, 682, 17858, 861, 478, 8407, 329, 1047, 912, 3499, 16, 387, 2890, 281, 1498, 29441, 15021, 16, 510, 18590, 45906, 637, 18, 651, 1303, 10441, 6713, 38845, 16, 453, 374, 9555, 282, 3304, 4422, 4036, 298, 510, 481, 4652, 428, 17460, 13904, 11343, 6931, 861, 7939, 412, 3847, 1055, 374, 322, 1698, 281, 24049, 47742, 16, 785, 478, 682, 17858, 470, 39846, 1423, 3941, 289, 35588, 2010, 24177, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 37965, 10296, 282, 39102, 8955, 10313, 41947, 20065, 608, 361, 5126, 7121, 651, 25803, 3537, 31743, 289, 8337, 416, 31407, 6131, 1231, 354, 14527, 455, 18, 42978, 7304, 35803, 3017, 349, 8739, 835, 1631, 4830, 29895, 299, 727, 809, 878, 312, 9126, 405, 16, 1320, 3537, 326, 11287, 16, 515, 35924, 16, 360, 12227, 360, 21755, 309, 2045, 3171, 18828, 13930, 18, 31224, 30, 14102, 30485, 448, 7005, 6740, 13767, 37965, 10144, 282, 39102, 16, 1541, 7894, 282, 11084, 16, 4266, 290, 25307, 15465, 7824, 12252, 1873, 4623, 16, 2789, 7033, 282, 25803, 4781, 478, 672, 348, 3832, 1829, 39102, 910, 6131, 1231, 548, 14527, 2664, 18, 824, 8872, 5095, 4097, 26746, 9, 424, 3314, 33298, 36794, 16, 492, 18462, 3610, 16, 27, 9, 12607, 18, 2320, 7739, 2016, 9126, 405, 727, 809, 878, 312, 7356, 13531, 16, 23, 9, 12607, 18, 1253, 726, 19352, 16, 374, 9013, 11211, 2159, 13270, 16, 428, 687, 1747, 25105, 6225, 3556, 5331, 7005, 10144, 18, 25896, 1086, 6405, 4097, 12607, 727, 809, 878, 312, 322, 9733, 18, 13268, 1011, 25105, 1237, 2336, 561, 47804, 87, 16, 1811, 446, 17941, 8955, 14527, 962, 16, 505, 32246, 281, 2566, 758, 36093, 44834, 414, 309, 7626, 8775, 18, 478, 4348, 34447, 11031, 16, 510, 10218, 5222, 25678, 47213, 2545, 21119, 309, 6394, 491, 3598, 282, 586, 19033, 18, 651, 1345, 9467, 7964, 7340, 10328, 7064, 16, 26422, 9729, 2954, 2818, 29012, 861, 14527, 455, 2780, 7099, 5487, 37270, 360, 13764, 7796, 10263, 18, 16566, 1559, 6484, 14054, 778, 4770, 625, 418, 1192, 287, 11425, 16, 5316, 1779, 8955, 14527, 2664, 478, 32199, 496, 16391, 7811, 349, 24649, 289, 20383, 48313, 861, 2861, 1070, 14527, 2664, 28035, 953, 10372, 2306, 18, 2790, 21960, 549, 29617, 4629, 312, 1999, 455, 8362, 16, 4933, 12509, 322, 329, 1552, 37544, 1242, 17, 326, 636, 1940, 668, 2301, 734, 272, 34041, 16, 13479, 47883, 6933, 349, 1977, 496, 4770, 680, 25678, 1011, 4183, 13767, 18, 13531, 17, 7745, 8337, 416, 31407, 16, 48253, 1510, 2615, 3676, 37965, 10144, 764, 282, 5895, 1045, 16, 515, 329, 2556, 1779, 1655, 567, 7422, 5750, 3756, 7410, 4000, 20898, 392, 5409, 2047, 16, 6048, 32471, 1510, 3941, 282, 4101, 3142, 282, 45970, 12903, 5762, 412, 412, 7999, 41275, 13333, 18, 27289, 32391, 979, 1335, 24897, 294, 474, 512, 954, 1559, 7741, 49184, 5888, 778, 4770, 608, 361, 5126, 7121, 1624, 1912, 17, 295, 1205, 2412, 7216, 329, 965, 282, 4008, 478, 16355, 8470, 13496, 4861, 2206, 861, 14527, 455, 1494, 11435, 9695, 10042, 7741, 49184, 5888, 1703, 21340, 289, 15349, 281, 1498, 13561, 1133, 3361, 18, 5126, 546, 507, 289, 14527, 1918, 1244, 3213, 322, 687, 13094, 22723, 13320, 16, 515, 289, 502, 16, 428, 745, 43779, 7391, 5056, 282, 4257, 8968, 1082, 30, 5826, 745, 424, 7444, 25054, 1279, 835, 770, 8237, 3430, 432, 43695, 329, 965, 309, 22993, 510, 5126, 7121, 282, 11078, 1045, 16, 367, 14527, 455, 282, 6383, 17, 277, 18, 1787, 9764, 567, 7422, 28220, 309, 1177, 445, 14527, 962, 3711, 37511, 1519, 965, 428, 28253, 1673, 4178, 933, 22710, 18, 478, 1140, 47211, 282, 5895, 1045, 685, 939, 27522, 32530, 16, 510, 15875, 1273, 25894, 27340, 16303, 4885, 12954, 718, 14682, 12458, 798, 2502, 420, 32863, 18, 651, 740, 1871, 24701, 734, 272, 34041, 322, 6696, 13095, 1901, 10802, 16, 289, 14527, 455, 1943, 685, 8538, 773, 9729, 18, 817, 1008, 451, 1376, 31588, 4415, 16, 289, 827, 7499, 305, 16, 502, 322, 12845, 30430, 354, 309, 767, 383, 44932, 5768, 861, 640, 2463, 505, 27803, 448, 33812, 2302, 4375, 282, 965, 23222, 668, 21553, 9318, 30, 1939, 17, 45900, 451, 6591, 41759, 25282, 16570, 16, 24148, 11548, 334, 5003, 6216, 2950, 406, 11017, 16, 13367, 32107, 760, 5388, 627, 9991, 6271, 289, 8922, 13547, 5537, 17462, 1452, 309, 18836, 8697, 541, 9910, 2005, 13923, 7043, 18, 14527, 1918, 16, 282, 11240, 292, 2024, 31521, 15199, 1162, 5913, 16, 34503, 615, 7681, 21161, 39793, 25803, 44509, 299, 1155, 510, 15199, 873, 10427, 15100, 32791, 933, 14297, 16, 13479, 17795, 30326, 16, 835, 839, 16, 5439, 3857, 16202, 4110, 18, 999, 39003, 837, 32483, 8113, 289, 21081, 549, 2301, 734, 272, 13496, 9207, 38692, 16, 520, 460, 12452, 1634, 16249, 18, 14527, 455, 652, 7831, 309, 26067, 16, 374, 16, 282, 6588, 360, 5126, 546, 507, 16, 492, 840, 32894, 7340, 6298, 289, 10866, 1694, 289, 478, 4743, 4770, 840, 8714, 687, 282, 4301, 22176, 289, 4393, 13577, 15810, 28597, 5738, 861, 39102, 14508, 39495, 35361, 680, 11898, 334, 14908, 44022, 6999, 29945, 9777, 4654, 16, 1202, 650, 1779, 3260, 1251, 608, 14375, 323, 289, 727, 809, 878, 312, 1188, 5216, 1613, 620, 478, 21960, 304, 1251, 351, 635, 289, 8613, 8283, 304, 910, 1314, 18519, 30429, 349, 14527, 1918, 289, 478, 14061, 20689, 7340, 6298, 910, 1548, 374, 727, 809, 878, 312, 16, 334, 505, 4734, 16, 5304, 1472, 14202, 8237, 3430, 315, 17, 823, 4640, 292, 13485, 3672, 1728, 4576, 18, 478, 11008, 3205, 16, 753, 656, 898, 2788, 900, 1007, 360, 14574, 294, 2891, 12534, 1040, 25885, 589, 7733, 289, 5262, 1406, 18875, 2087, 18, 1345, 2125, 37518, 702, 2803, 289, 17200, 319, 910, 510, 17684, 492, 16661, 10144, 282, 17130, 31090, 769, 52, 50, 18, 478, 24124, 14729, 22151, 975, 10315, 2888, 8113, 282, 19178, 12971, 42801, 910, 510, 15875, 8814, 1162, 9063, 478, 618, 17, 296, 599, 17, 267, 599, 470, 11385, 13103, 411, 5500, 1130, 532, 1456, 28327, 22735, 8117, 28414, 18, 10608, 17, 17827, 727, 809, 878, 312, 16, 2412, 2545, 1314, 3059, 12797, 1347, 16, 322, 3641, 537, 10910, 451, 3038, 360, 8059, 30551, 1086, 1728, 4576, 282, 1750, 21546, 294, 2891, 16, 537, 14729, 14795, 32196, 17, 29646, 432, 5910, 18, 365, 4542, 14016, 1188, 5216 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1512, 23030, 764, 289, 867, 16, 374, 25170, 16181, 3158, 24628, 7863, 17517, 597, 3499, 478, 682, 17858, 861, 478, 8407, 329, 1047, 912, 3499, 16, 387, 2890, 281, 1498, 29441, 15021, 16, 510, 18590, 45906, 637, 18, 651, 1303, 10441, 6713, 38845, 16, 453, 374, 9555, 282, 3304, 4422, 4036, 298, 510, 481, 4652, 428, 17460, 13904, 11343, 6931, 861, 7939, 412, 3847, 1055, 374, 322, 1698, 281, 24049, 47742, 16, 785, 478, 682, 17858, 470, 39846, 1423, 3941, 289, 35588, 2010, 24177, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 37965, 10296, 282, 39102, 8955, 10313, 41947, 20065, 608, 361, 5126, 7121, 651, 25803, 3537, 31743, 289, 8337, 416, 31407, 6131, 1231, 354, 14527, 455, 18, 42978, 7304, 35803, 3017, 349, 8739, 835, 1631, 4830, 29895, 299, 727, 809, 878, 312, 9126, 405, 16, 1320, 3537, 326, 11287, 16, 515, 35924, 16, 360, 12227, 360, 21755, 309, 2045, 3171, 18828, 13930, 18, 31224, 30, 14102, 30485, 448, 7005, 6740, 13767, 37965, 10144, 282, 39102, 16, 1541, 7894, 282, 11084, 16, 4266, 290, 25307, 15465, 7824, 12252, 1873, 4623, 16, 2789, 7033, 282, 25803, 4781, 478, 672, 348, 3832, 1829, 39102, 910, 6131, 1231, 548, 14527, 2664, 18, 824, 8872, 5095, 4097, 26746, 9, 424, 3314, 33298, 36794, 16, 492, 18462, 3610, 16, 27, 9, 12607, 18, 2320, 7739, 2016, 9126, 405, 727, 809, 878, 312, 7356, 13531, 16, 23, 9, 12607, 18, 1253, 726, 19352, 16, 374, 9013, 11211, 2159, 13270, 16, 428, 687, 1747, 25105, 6225, 3556, 5331, 7005, 10144, 18, 25896, 1086, 6405, 4097, 12607, 727, 809, 878, 312, 322, 9733, 18, 13268, 1011, 25105, 1237, 2336, 561, 47804, 87, 16, 1811, 446, 17941, 8955, 14527, 962, 16, 505, 32246, 281, 2566, 758, 36093, 44834, 414, 309, 7626, 8775, 18, 478, 4348, 34447, 11031, 16, 510, 10218, 5222, 25678, 47213, 2545, 21119, 309, 6394, 491, 3598, 282, 586, 19033, 18, 651, 1345, 9467, 7964, 7340, 10328, 7064, 16, 26422, 9729, 2954, 2818, 29012, 861, 14527, 455, 2780, 7099, 5487, 37270, 360, 13764, 7796, 10263, 18, 16566, 1559, 6484, 14054, 778, 4770, 625, 418, 1192, 287, 11425, 16, 5316, 1779, 8955, 14527, 2664, 478, 32199, 496, 16391, 7811, 349, 24649, 289, 20383, 48313, 861, 2861, 1070, 14527, 2664, 28035, 953, 10372, 2306, 18, 2790, 21960, 549, 29617, 4629, 312, 1999, 455, 8362, 16, 4933, 12509, 322, 329, 1552, 37544, 1242, 17, 326, 636, 1940, 668, 2301, 734, 272, 34041, 16, 13479, 47883, 6933, 349, 1977, 496, 4770, 680, 25678, 1011, 4183, 13767, 18, 13531, 17, 7745, 8337, 416, 31407, 16, 48253, 1510, 2615, 3676, 37965, 10144, 764, 282, 5895, 1045, 16, 515, 329, 2556, 1779, 1655, 567, 7422, 5750, 3756, 7410, 4000, 20898, 392, 5409, 2047, 16, 6048, 32471, 1510, 3941, 282, 4101, 3142, 282, 45970, 12903, 5762, 412, 412, 7999, 41275, 13333, 18, 27289, 32391, 979, 1335, 24897, 294, 474, 512, 954, 1559, 7741, 49184, 5888, 778, 4770, 608, 361, 5126, 7121, 1624, 1912, 17, 295, 1205, 2412, 7216, 329, 965, 282, 4008, 478, 16355, 8470, 13496, 4861, 2206, 861, 14527, 455, 1494, 11435, 9695, 10042, 7741, 49184, 5888, 1703, 21340, 289, 15349, 281, 1498, 13561, 1133, 3361, 18, 5126, 546, 507, 289, 14527, 1918, 1244, 3213, 322, 687, 13094, 22723, 13320, 16, 515, 289, 502, 16, 428, 745, 43779, 7391, 5056, 282, 4257, 8968, 1082, 30, 5826, 745, 424, 7444, 25054, 1279, 835, 770, 8237, 3430, 432, 43695, 329, 965, 309, 22993, 510, 5126, 7121, 282, 11078, 1045, 16, 367, 14527, 455, 282, 6383, 17, 277, 18, 1787, 9764, 567, 7422, 28220, 309, 1177, 445, 14527, 962, 3711, 37511, 1519, 965, 428, 28253, 1673, 4178, 933, 22710, 18, 478, 1140, 47211, 282, 5895, 1045, 685, 939, 27522, 32530, 16, 510, 15875, 1273, 25894, 27340, 16303, 4885, 12954, 718, 14682, 12458, 798, 2502, 420, 32863, 18, 651, 740, 1871, 24701, 734, 272, 34041, 322, 6696, 13095, 1901, 10802, 16, 289, 14527, 455, 1943, 685, 8538, 773, 9729, 18, 817, 1008, 451, 1376, 31588, 4415, 16, 289, 827, 7499, 305, 16, 502, 322, 12845, 30430, 354, 309, 767, 383, 44932, 5768, 861, 640, 2463, 505, 27803, 448, 33812, 2302, 4375, 282, 965, 23222, 668, 21553, 9318, 30, 1939, 17, 45900, 451, 6591, 41759, 25282, 16570, 16, 24148, 11548, 334, 5003, 6216, 2950, 406, 11017, 16, 13367, 32107, 760, 5388, 627, 9991, 6271, 289, 8922, 13547, 5537, 17462, 1452, 309, 18836, 8697, 541, 9910, 2005, 13923, 7043, 18, 14527, 1918, 16, 282, 11240, 292, 2024, 31521, 15199, 1162, 5913, 16, 34503, 615, 7681, 21161, 39793, 25803, 44509, 299, 1155, 510, 15199, 873, 10427, 15100, 32791, 933, 14297, 16, 13479, 17795, 30326, 16, 835, 839, 16, 5439, 3857, 16202, 4110, 18, 999, 39003, 837, 32483, 8113, 289, 21081, 549, 2301, 734, 272, 13496, 9207, 38692, 16, 520, 460, 12452, 1634, 16249, 18, 14527, 455, 652, 7831, 309, 26067, 16, 374, 16, 282, 6588, 360, 5126, 546, 507, 16, 492, 840, 32894, 7340, 6298, 289, 10866, 1694, 289, 478, 4743, 4770, 840, 8714, 687, 282, 4301, 22176, 289, 4393, 13577, 15810, 28597, 5738, 861, 39102, 14508, 39495, 35361, 680, 11898, 334, 14908, 44022, 6999, 29945, 9777, 4654, 16, 1202, 650, 1779, 3260, 1251, 608, 14375, 323, 289, 727, 809, 878, 312, 1188, 5216, 1613, 620, 478, 21960, 304, 1251, 351, 635, 289, 8613, 8283, 304, 910, 1314, 18519, 30429, 349, 14527, 1918, 289, 478, 14061, 20689, 7340, 6298, 910, 1548, 374, 727, 809, 878, 312, 16, 334, 505, 4734, 16, 5304, 1472, 14202, 8237, 3430, 315, 17, 823, 4640, 292, 13485, 3672, 1728, 4576, 18, 478, 11008, 3205, 16, 753, 656, 898, 2788, 900, 1007, 360, 14574, 294, 2891, 12534, 1040, 25885, 589, 7733, 289, 5262, 1406, 18875, 2087, 18, 1345, 2125, 37518, 702, 2803, 289, 17200, 319, 910, 510, 17684, 492, 16661, 10144, 282, 17130, 31090, 769, 52, 50, 18, 478, 24124, 14729, 22151, 975, 10315, 2888, 8113, 282, 19178, 12971, 42801, 910, 510, 15875, 8814, 1162, 9063, 478, 618, 17, 296, 599, 17, 267, 599, 470, 11385, 13103, 411, 5500, 1130, 532, 1456, 28327, 22735, 8117, 28414, 18, 10608, 17, 17827, 727, 809, 878, 312, 16, 2412, 2545, 1314, 3059, 12797, 1347, 16, 322, 3641, 537, 10910, 451, 3038, 360, 8059, 30551, 1086, 1728, 4576, 282, 1750, 21546, 294, 2891, 16, 537, 14729, 14795, 32196, 17, 29646, 432, 5910, 18, 365, 4542, 14016, 1188, 5216 ]
[ 1613, 620, 678, 3857, 1841, 10573, 6406, 294, 1533, 17, 41397, 835, 3707, 29895, 299, 727, 809, 878, 312, 16, 1029, 282, 5806, 3725, 734, 272, 34041, 2826, 25407, 13049, 477, 5547, 2914, 12873, 2164, 6171, 18, 6592, 27663, 395, 16, 1871, 24701, 734, 272, 34041, 25726, 414, 505, 36516, 281, 43472, 46426, 16, 4813, 309, 502, 374, 11350, 17, 22079, 16, 37852, 451, 1011, 10096, 986, 35337, 282, 35747, 282, 5653, 1045, 16, 685, 45522, 282, 7343, 11035, 294, 2706, 17912, 16886, 18, 727, 809, 878, 312, 641, 30302, 334, 4434, 6710, 282, 36849, 294, 11337, 2706, 8448, 16427, 16, 20900, 1825, 16253, 16, 15740, 49606, 30970, 2150, 289, 8225, 27526, 4076, 541, 38485, 513, 23603, 16, 14824, 289, 42877, 282, 4542, 27803, 416, 14016, 6383, 779, 18, 42978, 11350, 17, 40000, 30982, 282, 1360, 9212, 17126, 14254, 366, 14956, 36527, 5337, 7576, 13354, 16, 4473, 9429, 371, 803, 3775, 45452, 22852, 16, 289, 30947, 22797, 7744, 434, 4626, 18, 2046, 6863, 3964, 349, 14536, 12794, 42250, 14355, 6876, 10539, 44509, 1347, 354, 678, 322, 9253, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 1175, 4210, 26319, 9031, 281, 36488, 282, 30218, 18, 365, 12654, 41647, 9805, 36971, 5741, 3598, 42295, 477, 2200, 12360, 323, 2151, 602, 268, 768, 1305, 18, 2790, 793, 3793, 9744, 16, 2628, 16, 10906, 33560, 1188, 583, 2952, 304, 4830, 2145, 5035, 35109, 34031, 289, 18813, 30218, 18801, 40266, 49590, 547, 18, 5181, 16, 17488, 3453, 20722, 5790, 1055, 374, 3872, 24449, 1453, 18, 31224, 30, 42699, 8099, 7796, 1552, 4210, 26319, 10552, 17761, 282, 30218, 4725, 16, 374, 505, 3300, 510, 21394, 4096, 282, 9804, 16, 367, 1038, 7544, 12213, 281, 5211, 35392, 680, 16870, 18, 1012, 38672, 10552, 309, 26962, 14812, 478, 42433, 3930, 1133, 19293, 470, 50189, 1605, 7641, 18748, 1624, 492, 1038, 4725, 16, 374, 16661, 11738, 30218, 289, 2145, 2125, 1747, 18582, 475, 2553, 478, 466, 1318, 382, 910, 2319, 8034, 289, 3771, 18, 824, 3163, 11785, 756, 16, 14062, 18798, 1285, 326, 1394, 1640, 2839, 1532, 718, 25088, 942, 840, 1472, 281, 3195, 1269, 5954, 1672, 31858, 18, 3557, 322, 2619, 16, 26319, 15488, 26320, 3229, 1223, 309, 8252, 1901, 21397, 26896, 845, 20957, 382, 18, 2949, 924, 16, 840, 8271, 9488, 6295, 309, 2839, 1532, 1212, 34162, 16, 367, 1038, 9360, 40762, 289, 25207, 3586, 18, 2949, 2145, 16, 4498, 3419, 290, 1175, 16, 15770, 16, 10440, 289, 13340, 41647, 16, 961, 14106, 808, 1741, 20412, 290, 4096, 281, 25514, 26957, 30218, 18, 2877, 20957, 454, 3716, 44003, 22154, 289, 5112, 4770, 36176, 28565, 16, 1029, 3957, 14062, 16, 334, 505, 3163, 16, 478, 267, 747, 382, 470, 281, 18813, 30218, 18801, 40266, 49590, 547, 18, 967, 803, 583, 28565, 42678, 4453, 40399, 420, 478, 2499, 399, 2798, 266, 4381, 26891, 470, 290, 25909, 16, 502, 3038, 8957, 360, 697, 5743, 16, 502, 3424, 4538, 290, 970, 16, 374, 745, 42745, 18, 5043, 16, 16985, 294, 7786, 30806, 475, 575, 3419, 510, 282, 2145, 541, 5790, 281, 18813, 2450, 476, 513, 4809, 635, 3727, 1035, 262, 10498, 1893, 25545, 4651, 5211, 35392, 778, 26363, 18801, 602, 268, 688, 292, 380, 16, 32556, 6080, 478, 13261, 470, 477, 7755, 309, 3781, 17, 42885, 23127, 1642, 18, 33768, 16, 374, 583, 2952, 1251, 44950, 2145, 289, 30218, 1943, 6886, 1912, 4209, 282, 37971, 864, 298, 18, 14405, 3300, 34031, 309, 9155, 281, 21340, 30218, 510, 9422, 360, 49085, 522, 8582, 27832, 1360, 25514, 4696, 16, 515, 14697, 7501, 3236, 16, 374, 5211, 35392, 778, 5222, 10222, 309, 1177, 3321, 18, 365, 6449, 1750, 11447, 1070, 30218, 360, 28481, 6617, 510, 481, 4126, 1029, 895, 13898, 1533, 17, 3114, 986, 18, 365, 502, 575, 808, 309, 14887, 12182, 9729, 2145, 30218, 726, 6858, 510, 282, 15575, 14824, 2891, 2553, 726, 9389, 1166, 1176, 411, 5491, 5418, 2268, 297, 1970, 18, 967, 803, 282, 10264, 808, 18801, 40266, 49590, 268, 322, 9733, 43293, 281, 8711, 536, 11214, 16, 5130, 282, 30989, 16, 2828, 16894, 541, 23127, 1642, 282, 28138, 38836, 17946, 1082, 24037, 18, 365, 25223, 16, 1029, 15875, 24359, 5581, 1059, 11539, 18045, 5130, 16, 374, 2145, 2003, 22617, 294, 49085, 11444, 392, 1033, 36510, 4368, 3300, 510, 9422, 39083, 427, 25514, 4696, 18, 824, 4734, 35065, 22109, 19361, 50189, 1605, 7641, 18748, 16, 18380, 282, 1767, 13858, 3623, 14943, 1870, 14916, 401, 1624, 309, 25909, 2145, 281, 30218, 478, 34239, 13449, 36510, 2497, 4380, 861, 9639, 5173, 895, 2464, 6135, 49085, 522, 8582, 322, 8197, 8711, 448, 289, 8187, 448, 15129, 16, 961, 2700, 7267, 30676, 290, 11357, 48915, 5375, 4092, 4840, 37949, 19071, 473, 822, 677, 1295, 1358, 732, 814, 5454, 16, 5343, 16, 14426, 8343, 5103, 282, 28674, 309, 2839, 1532, 1212, 34162, 16, 38985, 15408, 49085, 522, 1231, 4693, 309, 965, 15442, 10049, 5064, 18, 3771, 726, 1269, 7199, 282, 1335, 1767, 16, 10050, 282, 27561, 281, 478, 7128, 305, 323, 18, 8381, 470, 12189, 282, 1767, 13858, 3623, 7947, 421, 511, 375, 18, 3771, 1974, 281, 28844, 334, 7786, 30806, 334, 27964, 680, 25514, 9212, 510, 7688, 5885, 16, 38979, 289, 13340, 2839, 298, 355, 510, 2826, 7556, 19785, 13848, 20412, 1251, 49085, 11444, 547, 289, 11173, 16678, 18, 22987, 12483, 11638, 13848, 289, 11165, 20412, 1251, 49085, 11444, 547, 289, 2777, 272, 1683, 510, 18801, 40266, 49590, 547, 289, 1655, 31408, 12984, 13340, 30576, 30415, 403, 13209, 45519, 510, 282, 3507, 567, 808, 36588, 5521, 7244, 14977, 282, 2604, 1045, 18, 4922, 15068, 3600, 3645, 16, 453, 428, 5826, 15465, 282, 7522, 322, 13473, 18, 2263, 49085, 522, 1231, 371, 803, 1494, 27834, 16, 374, 3957, 5245, 20412, 14426, 687, 281, 11173, 16678, 16, 289, 29093, 309, 9985, 14948, 34460, 1728, 4000, 477, 1963, 2145, 18, 4320, 381, 803, 8180, 322, 3419, 16, 2686, 726, 583, 5809, 5790, 13764, 6411, 18210, 827, 322, 744, 17, 14220, 16, 502, 1830, 373, 744, 17, 8422, 299, 18, 365, 4190, 16, 785, 20412, 281, 49085, 11444, 547, 33890, 4110, 2145, 16, 1175, 2003, 13541, 294, 1033, 19734, 12384, 282, 11079, 281, 30218, 16, 5273, 7947, 421, 511, 375, 18, 37729, 16, 4765, 5229, 281, 5211, 35392, 3334, 9985, 2389, 309, 4447, 10830, 6071, 3462, 16, 10050, 16, 374, 518, 726, 322, 30937, 478, 431, 843, 297, 18285, 3515, 271, 36991, 470, 14886, 2742 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1613, 620, 678, 3857, 1841, 10573, 6406, 294, 1533, 17, 41397, 835, 3707, 29895, 299, 727, 809, 878, 312, 16, 1029, 282, 5806, 3725, 734, 272, 34041, 2826, 25407, 13049, 477, 5547, 2914, 12873, 2164, 6171, 18, 6592, 27663, 395, 16, 1871, 24701, 734, 272, 34041, 25726, 414, 505, 36516, 281, 43472, 46426, 16, 4813, 309, 502, 374, 11350, 17, 22079, 16, 37852, 451, 1011, 10096, 986, 35337, 282, 35747, 282, 5653, 1045, 16, 685, 45522, 282, 7343, 11035, 294, 2706, 17912, 16886, 18, 727, 809, 878, 312, 641, 30302, 334, 4434, 6710, 282, 36849, 294, 11337, 2706, 8448, 16427, 16, 20900, 1825, 16253, 16, 15740, 49606, 30970, 2150, 289, 8225, 27526, 4076, 541, 38485, 513, 23603, 16, 14824, 289, 42877, 282, 4542, 27803, 416, 14016, 6383, 779, 18, 42978, 11350, 17, 40000, 30982, 282, 1360, 9212, 17126, 14254, 366, 14956, 36527, 5337, 7576, 13354, 16, 4473, 9429, 371, 803, 3775, 45452, 22852, 16, 289, 30947, 22797, 7744, 434, 4626, 18, 2046, 6863, 3964, 349, 14536, 12794, 42250, 14355, 6876, 10539, 44509, 1347, 354, 678, 322, 9253, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 1175, 4210, 26319, 9031, 281, 36488, 282, 30218, 18, 365, 12654, 41647, 9805, 36971, 5741, 3598, 42295, 477, 2200, 12360, 323, 2151, 602, 268, 768, 1305, 18, 2790, 793, 3793, 9744, 16, 2628, 16, 10906, 33560, 1188, 583, 2952, 304, 4830, 2145, 5035, 35109, 34031, 289, 18813, 30218, 18801, 40266, 49590, 547, 18, 5181, 16, 17488, 3453, 20722, 5790, 1055, 374, 3872, 24449, 1453, 18, 31224, 30, 42699, 8099, 7796, 1552, 4210, 26319, 10552, 17761, 282, 30218, 4725, 16, 374, 505, 3300, 510, 21394, 4096, 282, 9804, 16, 367, 1038, 7544, 12213, 281, 5211, 35392, 680, 16870, 18, 1012, 38672, 10552, 309, 26962, 14812, 478, 42433, 3930, 1133, 19293, 470, 50189, 1605, 7641, 18748, 1624, 492, 1038, 4725, 16, 374, 16661, 11738, 30218, 289, 2145, 2125, 1747, 18582, 475, 2553, 478, 466, 1318, 382, 910, 2319, 8034, 289, 3771, 18, 824, 3163, 11785, 756, 16, 14062, 18798, 1285, 326, 1394, 1640, 2839, 1532, 718, 25088, 942, 840, 1472, 281, 3195, 1269, 5954, 1672, 31858, 18, 3557, 322, 2619, 16, 26319, 15488, 26320, 3229, 1223, 309, 8252, 1901, 21397, 26896, 845, 20957, 382, 18, 2949, 924, 16, 840, 8271, 9488, 6295, 309, 2839, 1532, 1212, 34162, 16, 367, 1038, 9360, 40762, 289, 25207, 3586, 18, 2949, 2145, 16, 4498, 3419, 290, 1175, 16, 15770, 16, 10440, 289, 13340, 41647, 16, 961, 14106, 808, 1741, 20412, 290, 4096, 281, 25514, 26957, 30218, 18, 2877, 20957, 454, 3716, 44003, 22154, 289, 5112, 4770, 36176, 28565, 16, 1029, 3957, 14062, 16, 334, 505, 3163, 16, 478, 267, 747, 382, 470, 281, 18813, 30218, 18801, 40266, 49590, 547, 18, 967, 803, 583, 28565, 42678, 4453, 40399, 420, 478, 2499, 399, 2798, 266, 4381, 26891, 470, 290, 25909, 16, 502, 3038, 8957, 360, 697, 5743, 16, 502, 3424, 4538, 290, 970, 16, 374, 745, 42745, 18, 5043, 16, 16985, 294, 7786, 30806, 475, 575, 3419, 510, 282, 2145, 541, 5790, 281, 18813, 2450, 476, 513, 4809, 635, 3727, 1035, 262, 10498, 1893, 25545, 4651, 5211, 35392, 778, 26363, 18801, 602, 268, 688, 292, 380, 16, 32556, 6080, 478, 13261, 470, 477, 7755, 309, 3781, 17, 42885, 23127, 1642, 18, 33768, 16, 374, 583, 2952, 1251, 44950, 2145, 289, 30218, 1943, 6886, 1912, 4209, 282, 37971, 864, 298, 18, 14405, 3300, 34031, 309, 9155, 281, 21340, 30218, 510, 9422, 360, 49085, 522, 8582, 27832, 1360, 25514, 4696, 16, 515, 14697, 7501, 3236, 16, 374, 5211, 35392, 778, 5222, 10222, 309, 1177, 3321, 18, 365, 6449, 1750, 11447, 1070, 30218, 360, 28481, 6617, 510, 481, 4126, 1029, 895, 13898, 1533, 17, 3114, 986, 18, 365, 502, 575, 808, 309, 14887, 12182, 9729, 2145, 30218, 726, 6858, 510, 282, 15575, 14824, 2891, 2553, 726, 9389, 1166, 1176, 411, 5491, 5418, 2268, 297, 1970, 18, 967, 803, 282, 10264, 808, 18801, 40266, 49590, 268, 322, 9733, 43293, 281, 8711, 536, 11214, 16, 5130, 282, 30989, 16, 2828, 16894, 541, 23127, 1642, 282, 28138, 38836, 17946, 1082, 24037, 18, 365, 25223, 16, 1029, 15875, 24359, 5581, 1059, 11539, 18045, 5130, 16, 374, 2145, 2003, 22617, 294, 49085, 11444, 392, 1033, 36510, 4368, 3300, 510, 9422, 39083, 427, 25514, 4696, 18, 824, 4734, 35065, 22109, 19361, 50189, 1605, 7641, 18748, 16, 18380, 282, 1767, 13858, 3623, 14943, 1870, 14916, 401, 1624, 309, 25909, 2145, 281, 30218, 478, 34239, 13449, 36510, 2497, 4380, 861, 9639, 5173, 895, 2464, 6135, 49085, 522, 8582, 322, 8197, 8711, 448, 289, 8187, 448, 15129, 16, 961, 2700, 7267, 30676, 290, 11357, 48915, 5375, 4092, 4840, 37949, 19071, 473, 822, 677, 1295, 1358, 732, 814, 5454, 16, 5343, 16, 14426, 8343, 5103, 282, 28674, 309, 2839, 1532, 1212, 34162, 16, 38985, 15408, 49085, 522, 1231, 4693, 309, 965, 15442, 10049, 5064, 18, 3771, 726, 1269, 7199, 282, 1335, 1767, 16, 10050, 282, 27561, 281, 478, 7128, 305, 323, 18, 8381, 470, 12189, 282, 1767, 13858, 3623, 7947, 421, 511, 375, 18, 3771, 1974, 281, 28844, 334, 7786, 30806, 334, 27964, 680, 25514, 9212, 510, 7688, 5885, 16, 38979, 289, 13340, 2839, 298, 355, 510, 2826, 7556, 19785, 13848, 20412, 1251, 49085, 11444, 547, 289, 11173, 16678, 18, 22987, 12483, 11638, 13848, 289, 11165, 20412, 1251, 49085, 11444, 547, 289, 2777, 272, 1683, 510, 18801, 40266, 49590, 547, 289, 1655, 31408, 12984, 13340, 30576, 30415, 403, 13209, 45519, 510, 282, 3507, 567, 808, 36588, 5521, 7244, 14977, 282, 2604, 1045, 18, 4922, 15068, 3600, 3645, 16, 453, 428, 5826, 15465, 282, 7522, 322, 13473, 18, 2263, 49085, 522, 1231, 371, 803, 1494, 27834, 16, 374, 3957, 5245, 20412, 14426, 687, 281, 11173, 16678, 16, 289, 29093, 309, 9985, 14948, 34460, 1728, 4000, 477, 1963, 2145, 18, 4320, 381, 803, 8180, 322, 3419, 16, 2686, 726, 583, 5809, 5790, 13764, 6411, 18210, 827, 322, 744, 17, 14220, 16, 502, 1830, 373, 744, 17, 8422, 299, 18, 365, 4190, 16, 785, 20412, 281, 49085, 11444, 547, 33890, 4110, 2145, 16, 1175, 2003, 13541, 294, 1033, 19734, 12384, 282, 11079, 281, 30218, 16, 5273, 7947, 421, 511, 375, 18, 37729, 16, 4765, 5229, 281, 5211, 35392, 3334, 9985, 2389, 309, 4447, 10830, 6071, 3462, 16, 10050, 16, 374, 518, 726, 322, 30937, 478, 431, 843, 297, 18285, 3515, 271, 36991, 470, 14886, 2742 ]
[ 8497, 17, 292, 5521, 30, 478, 8244, 19034, 2568, 315, 289, 1904, 4266, 334, 17, 32350, 861, 2046, 28479, 11959, 5075, 281, 30218, 3507, 1800, 7339, 510, 22847, 2630, 1251, 5512, 39578, 4179, 538, 382, 16, 294, 2222, 575, 10268, 15901, 9206, 35974, 12435, 2231, 636, 431, 9085, 1279, 30218, 16, 294, 3279, 10006, 701, 289, 3771, 18, 21728, 432, 11065, 27486, 1251, 30218, 289, 9609, 1715, 1003, 18, 5403, 966, 18813, 12654, 30576, 16, 4765, 14354, 281, 17234, 12984, 27402, 30012, 1624, 685, 18801, 40266, 7599, 1624, 1029, 32667, 282, 6551, 10490, 18, 12167, 445, 510, 282, 4440, 1045, 18, 18801, 40266, 49590, 268, 281, 17234, 12984, 764, 322, 26390, 18, 12280, 8097, 16, 374, 567, 6477, 4830, 3875, 13536, 22931, 5881, 367, 21068, 1251, 26150, 289, 49085, 11444, 547, 898, 2702, 10400, 758, 16, 4813, 309, 1210, 6519, 3860, 30, 478, 563, 30972, 360, 7525, 5001, 290, 1360, 36202, 1188, 4361, 5375, 18801, 7599, 385, 8994, 16, 367, 726, 971, 1188, 3928, 910, 510, 2388, 47004, 2370, 14522, 22931, 5881, 1655, 39456, 7410, 21770, 4529, 47137, 554, 18509, 12954, 2260, 4141, 1188, 4856, 761, 334, 44596, 289, 1324, 2607, 281, 9444, 30218, 18, 4338, 663, 2610, 49085, 522, 8582, 942, 7818, 9807, 16, 1029, 1623, 7265, 39743, 31105, 30218, 18, 365, 15770, 11272, 38836, 289, 1500, 5809, 16, 374, 28565, 4419, 6274, 26581, 505, 16, 14306, 3215, 1479, 15238, 19801, 282, 29802, 5792, 18, 967, 803, 583, 5222, 30218, 428, 15833, 48348, 16, 8643, 965, 2702, 4745, 309, 8011, 14826, 3664, 434, 4830, 2145, 18, 478, 1140, 1981, 1151, 16, 374, 1135, 16, 1029, 45920, 309, 8711, 451, 31523, 313, 16, 1800, 8471, 1089, 5411, 34782, 910, 510, 1109, 567, 808, 11815, 309, 478, 42433, 3930, 933, 8007, 4912, 470, 45890, 289, 6548, 17872, 9630, 478, 11825, 282, 35920, 12384, 470, 15136, 23263, 46083, 1492, 2, 1, 87, 1456, 81, 2448, 30, 682, 4139, 14108, 4360, 5221, 281, 9795, 26763, 309, 8125, 42647, 10343, 4230, 4489, 541, 5164, 16, 15571, 47504, 22292, 281, 2039, 35173, 659, 304, 18, 31224, 30, 677, 6588, 360, 20945, 10343, 4230, 553, 16, 18697, 2545, 282, 965, 11970, 4095, 16455, 18470, 2150, 14568, 473, 6329, 3076, 432, 16, 33629, 1901, 16, 29741, 289, 22404, 1816, 25408, 46337, 10343, 4230, 783, 23627, 6577, 3593, 322, 9858, 289, 282, 15614, 6031, 1715, 1759, 37279, 294, 1934, 9885, 2039, 35173, 659, 272, 18, 4320, 322, 5092, 33629, 1901, 670, 29741, 10343, 4230, 31892, 541, 5164, 16, 4813, 309, 31409, 1810, 282, 803, 6942, 16, 453, 428, 10287, 549, 16296, 3412, 7072, 10049, 5064, 10120, 939, 43233, 18, 2387, 16, 11775, 322, 9124, 530, 2200, 24038, 5164, 371, 16571, 10343, 4230, 5534, 17987, 16, 2686, 3888, 8819, 16732, 8998, 3063, 6977, 2089, 12966, 3872, 1003, 312, 420, 1809, 18, 996, 16, 541, 47034, 44273, 13058, 7821, 48825, 17108, 8166, 4703, 6174, 39444, 760, 31234, 16, 374, 6411, 289, 8067, 6228, 26659, 541, 7574, 18, 3546, 2061, 315, 481, 282, 970, 2875, 289, 281, 867, 16, 374, 329, 5164, 1003, 27143, 16, 2010, 735, 2989, 309, 808, 387, 31822, 13058, 7821, 48825, 17108, 16, 282, 502, 808, 428, 282, 7948, 2662, 541, 4717, 39444, 760, 31234, 31062, 4164, 282, 6099, 360, 40667, 49453, 2009, 18864, 16, 374, 39142, 33629, 2837, 11440, 309, 11278, 289, 11419, 281, 1498, 15708, 5331, 8534, 18, 5223, 6082, 5676, 281, 33629, 5925, 10343, 4230, 4489, 353, 541, 5164, 31680, 16, 515, 29839, 8015, 28686, 8206, 18, 5161, 16, 6152, 5548, 4786, 29802, 45144, 40623, 282, 1273, 24639, 593, 6824, 410, 2863, 39545, 17082, 410, 9619, 5436, 19598, 1913, 908, 7617, 2768, 16, 282, 1754, 22083, 3953, 9654, 36700, 15350, 22823, 5164, 6929, 21788, 2466, 36235, 1437, 28632, 476, 343, 315, 3997, 26348, 1318, 853, 18, 28027, 685, 43347, 11646, 309, 1533, 6427, 6081, 6870, 16, 334, 6957, 3737, 17143, 773, 8922, 925, 282, 3178, 2555, 4776, 18, 832, 41265, 7870, 36080, 371, 803, 6927, 977, 1472, 329, 430, 16, 21, 309, 3417, 697, 6357, 301, 473, 275, 10209, 16, 481, 30747, 15497, 934, 2686, 329, 13569, 411, 3025, 3260, 382, 1011, 8886, 24917, 40022, 474, 2232, 21927, 453, 289, 322, 4522, 2829, 16, 374, 7006, 520, 942, 7818, 35209, 18, 4320, 3989, 11840, 536, 39097, 9487, 282, 1767, 16732, 10343, 4230, 553, 1623, 6700, 25323, 18, 6592, 47589, 16, 6489, 17152, 282, 1273, 5982, 20500, 5109, 593, 8918, 24155, 593, 48779, 1624, 349, 3333, 13228, 25811, 28736, 746, 4444, 324, 1449, 17515, 336, 798, 860, 41, 32754, 21, 18, 1253, 7332, 294, 6723, 954, 2930, 553, 33722, 969, 26393, 54, 43, 16, 1029, 16182, 309, 4126, 13058, 7821, 317, 1414, 431, 16, 651, 282, 23421, 1165, 4557, 8394, 13058, 7821, 48825, 15446, 281, 2709, 19458, 1116, 6658, 46711, 16, 961, 322, 1698, 11763, 519, 9435, 321, 508, 36610, 18, 33671, 5628, 15032, 28321, 25584, 2272, 389, 451, 22996, 755, 16, 1029, 373, 322, 49706, 294, 28736, 4143, 16, 367, 15027, 2539, 1738, 7940, 1089, 45840, 13058, 7821, 48825, 17108, 18, 6083, 516, 39636, 3799, 668, 43145, 22996, 1347, 16732, 36700, 6466, 9326, 16, 309, 1177, 445, 6663, 4846, 16, 16643, 15832, 1162, 4786, 411, 17461, 25086, 47132, 17, 1182, 441, 23331, 289, 504, 4013, 12790, 718, 19887, 34378, 282, 7705, 16, 6489, 4068, 282, 16876, 20042, 9630, 769, 2386, 18, 14654, 3419, 290, 1442, 53, 21, 510, 12609, 8803, 492, 5858, 798, 951, 54, 40, 24, 16, 12816, 4549, 287, 30558, 7948, 464, 16, 19233, 848, 22439, 282, 15284, 47132, 17, 1182, 441, 3418, 18, 16944, 7473, 8183, 1442, 53, 21, 309, 656, 13468, 16, 16188, 5628, 11257, 16, 374, 10398, 4549, 287, 10043, 3193, 481, 26249, 15519, 1038, 7174, 2666, 4126, 36602, 2150, 13058, 7821, 48825, 17108, 16, 367, 13058, 7821, 25427, 501, 329, 38604, 3118, 15983, 2195, 281, 2010, 9125, 1442, 53, 21, 17, 3850, 12990, 18, 6682, 924, 16, 1442, 53, 21, 322, 1413, 4615, 7957, 309, 13635, 1066, 26348, 1318, 853, 16, 322, 49706, 294, 14065, 508, 2675, 36734, 16, 367, 1038, 322, 9352, 1738, 309, 1933, 3589, 9704, 583, 2279, 510, 1139, 34767, 6656, 25828, 16, 14381, 1292, 2818, 6663, 10321, 10343, 4230, 659, 272, 18, 478, 4348, 12362, 16, 374, 481, 26249, 15571, 7174, 3576, 8927, 16198, 668, 22823, 16, 39052, 36360, 289, 1325, 3378, 647, 38426, 7619, 289, 14343, 617, 13058, 7821, 48825, 17108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8497, 17, 292, 5521, 30, 478, 8244, 19034, 2568, 315, 289, 1904, 4266, 334, 17, 32350, 861, 2046, 28479, 11959, 5075, 281, 30218, 3507, 1800, 7339, 510, 22847, 2630, 1251, 5512, 39578, 4179, 538, 382, 16, 294, 2222, 575, 10268, 15901, 9206, 35974, 12435, 2231, 636, 431, 9085, 1279, 30218, 16, 294, 3279, 10006, 701, 289, 3771, 18, 21728, 432, 11065, 27486, 1251, 30218, 289, 9609, 1715, 1003, 18, 5403, 966, 18813, 12654, 30576, 16, 4765, 14354, 281, 17234, 12984, 27402, 30012, 1624, 685, 18801, 40266, 7599, 1624, 1029, 32667, 282, 6551, 10490, 18, 12167, 445, 510, 282, 4440, 1045, 18, 18801, 40266, 49590, 268, 281, 17234, 12984, 764, 322, 26390, 18, 12280, 8097, 16, 374, 567, 6477, 4830, 3875, 13536, 22931, 5881, 367, 21068, 1251, 26150, 289, 49085, 11444, 547, 898, 2702, 10400, 758, 16, 4813, 309, 1210, 6519, 3860, 30, 478, 563, 30972, 360, 7525, 5001, 290, 1360, 36202, 1188, 4361, 5375, 18801, 7599, 385, 8994, 16, 367, 726, 971, 1188, 3928, 910, 510, 2388, 47004, 2370, 14522, 22931, 5881, 1655, 39456, 7410, 21770, 4529, 47137, 554, 18509, 12954, 2260, 4141, 1188, 4856, 761, 334, 44596, 289, 1324, 2607, 281, 9444, 30218, 18, 4338, 663, 2610, 49085, 522, 8582, 942, 7818, 9807, 16, 1029, 1623, 7265, 39743, 31105, 30218, 18, 365, 15770, 11272, 38836, 289, 1500, 5809, 16, 374, 28565, 4419, 6274, 26581, 505, 16, 14306, 3215, 1479, 15238, 19801, 282, 29802, 5792, 18, 967, 803, 583, 5222, 30218, 428, 15833, 48348, 16, 8643, 965, 2702, 4745, 309, 8011, 14826, 3664, 434, 4830, 2145, 18, 478, 1140, 1981, 1151, 16, 374, 1135, 16, 1029, 45920, 309, 8711, 451, 31523, 313, 16, 1800, 8471, 1089, 5411, 34782, 910, 510, 1109, 567, 808, 11815, 309, 478, 42433, 3930, 933, 8007, 4912, 470, 45890, 289, 6548, 17872, 9630, 478, 11825, 282, 35920, 12384, 470, 15136, 23263, 46083, 1492, 2, 1, 87, 1456, 81, 2448, 30, 682, 4139, 14108, 4360, 5221, 281, 9795, 26763, 309, 8125, 42647, 10343, 4230, 4489, 541, 5164, 16, 15571, 47504, 22292, 281, 2039, 35173, 659, 304, 18, 31224, 30, 677, 6588, 360, 20945, 10343, 4230, 553, 16, 18697, 2545, 282, 965, 11970, 4095, 16455, 18470, 2150, 14568, 473, 6329, 3076, 432, 16, 33629, 1901, 16, 29741, 289, 22404, 1816, 25408, 46337, 10343, 4230, 783, 23627, 6577, 3593, 322, 9858, 289, 282, 15614, 6031, 1715, 1759, 37279, 294, 1934, 9885, 2039, 35173, 659, 272, 18, 4320, 322, 5092, 33629, 1901, 670, 29741, 10343, 4230, 31892, 541, 5164, 16, 4813, 309, 31409, 1810, 282, 803, 6942, 16, 453, 428, 10287, 549, 16296, 3412, 7072, 10049, 5064, 10120, 939, 43233, 18, 2387, 16, 11775, 322, 9124, 530, 2200, 24038, 5164, 371, 16571, 10343, 4230, 5534, 17987, 16, 2686, 3888, 8819, 16732, 8998, 3063, 6977, 2089, 12966, 3872, 1003, 312, 420, 1809, 18, 996, 16, 541, 47034, 44273, 13058, 7821, 48825, 17108, 8166, 4703, 6174, 39444, 760, 31234, 16, 374, 6411, 289, 8067, 6228, 26659, 541, 7574, 18, 3546, 2061, 315, 481, 282, 970, 2875, 289, 281, 867, 16, 374, 329, 5164, 1003, 27143, 16, 2010, 735, 2989, 309, 808, 387, 31822, 13058, 7821, 48825, 17108, 16, 282, 502, 808, 428, 282, 7948, 2662, 541, 4717, 39444, 760, 31234, 31062, 4164, 282, 6099, 360, 40667, 49453, 2009, 18864, 16, 374, 39142, 33629, 2837, 11440, 309, 11278, 289, 11419, 281, 1498, 15708, 5331, 8534, 18, 5223, 6082, 5676, 281, 33629, 5925, 10343, 4230, 4489, 353, 541, 5164, 31680, 16, 515, 29839, 8015, 28686, 8206, 18, 5161, 16, 6152, 5548, 4786, 29802, 45144, 40623, 282, 1273, 24639, 593, 6824, 410, 2863, 39545, 17082, 410, 9619, 5436, 19598, 1913, 908, 7617, 2768, 16, 282, 1754, 22083, 3953, 9654, 36700, 15350, 22823, 5164, 6929, 21788, 2466, 36235, 1437, 28632, 476, 343, 315, 3997, 26348, 1318, 853, 18, 28027, 685, 43347, 11646, 309, 1533, 6427, 6081, 6870, 16, 334, 6957, 3737, 17143, 773, 8922, 925, 282, 3178, 2555, 4776, 18, 832, 41265, 7870, 36080, 371, 803, 6927, 977, 1472, 329, 430, 16, 21, 309, 3417, 697, 6357, 301, 473, 275, 10209, 16, 481, 30747, 15497, 934, 2686, 329, 13569, 411, 3025, 3260, 382, 1011, 8886, 24917, 40022, 474, 2232, 21927, 453, 289, 322, 4522, 2829, 16, 374, 7006, 520, 942, 7818, 35209, 18, 4320, 3989, 11840, 536, 39097, 9487, 282, 1767, 16732, 10343, 4230, 553, 1623, 6700, 25323, 18, 6592, 47589, 16, 6489, 17152, 282, 1273, 5982, 20500, 5109, 593, 8918, 24155, 593, 48779, 1624, 349, 3333, 13228, 25811, 28736, 746, 4444, 324, 1449, 17515, 336, 798, 860, 41, 32754, 21, 18, 1253, 7332, 294, 6723, 954, 2930, 553, 33722, 969, 26393, 54, 43, 16, 1029, 16182, 309, 4126, 13058, 7821, 317, 1414, 431, 16, 651, 282, 23421, 1165, 4557, 8394, 13058, 7821, 48825, 15446, 281, 2709, 19458, 1116, 6658, 46711, 16, 961, 322, 1698, 11763, 519, 9435, 321, 508, 36610, 18, 33671, 5628, 15032, 28321, 25584, 2272, 389, 451, 22996, 755, 16, 1029, 373, 322, 49706, 294, 28736, 4143, 16, 367, 15027, 2539, 1738, 7940, 1089, 45840, 13058, 7821, 48825, 17108, 18, 6083, 516, 39636, 3799, 668, 43145, 22996, 1347, 16732, 36700, 6466, 9326, 16, 309, 1177, 445, 6663, 4846, 16, 16643, 15832, 1162, 4786, 411, 17461, 25086, 47132, 17, 1182, 441, 23331, 289, 504, 4013, 12790, 718, 19887, 34378, 282, 7705, 16, 6489, 4068, 282, 16876, 20042, 9630, 769, 2386, 18, 14654, 3419, 290, 1442, 53, 21, 510, 12609, 8803, 492, 5858, 798, 951, 54, 40, 24, 16, 12816, 4549, 287, 30558, 7948, 464, 16, 19233, 848, 22439, 282, 15284, 47132, 17, 1182, 441, 3418, 18, 16944, 7473, 8183, 1442, 53, 21, 309, 656, 13468, 16, 16188, 5628, 11257, 16, 374, 10398, 4549, 287, 10043, 3193, 481, 26249, 15519, 1038, 7174, 2666, 4126, 36602, 2150, 13058, 7821, 48825, 17108, 16, 367, 13058, 7821, 25427, 501, 329, 38604, 3118, 15983, 2195, 281, 2010, 9125, 1442, 53, 21, 17, 3850, 12990, 18, 6682, 924, 16, 1442, 53, 21, 322, 1413, 4615, 7957, 309, 13635, 1066, 26348, 1318, 853, 16, 322, 49706, 294, 14065, 508, 2675, 36734, 16, 367, 1038, 322, 9352, 1738, 309, 1933, 3589, 9704, 583, 2279, 510, 1139, 34767, 6656, 25828, 16, 14381, 1292, 2818, 6663, 10321, 10343, 4230, 659, 272, 18, 478, 4348, 12362, 16, 374, 481, 26249, 15571, 7174, 3576, 8927, 16198, 668, 22823, 16, 39052, 36360, 289, 1325, 3378, 647, 38426, 7619, 289, 14343, 617, 13058, 7821, 48825, 17108 ]
[ 910, 1224, 18584, 2712, 9216, 15832, 680, 3463, 7110, 19885, 504, 9861, 1458, 18, 1442, 53, 21, 16, 13334, 451, 282, 6292, 2236, 411, 33486, 24917, 289, 35065, 6663, 343, 15284, 504, 9861, 7671, 1312, 288, 11759, 377, 473, 46, 1239, 6607, 77, 934, 726, 7846, 1423, 16054, 371, 23015, 25086, 17203, 289, 4447, 6961, 25086, 4829, 16, 282, 970, 2875, 6963, 273, 45239, 16, 367, 1038, 681, 310, 14453, 510, 289, 1314, 44269, 288, 6473, 15082, 484, 282, 1033, 828, 23256, 15832, 933, 8002, 10875, 334, 4547, 8290, 18, 15940, 16253, 15284, 504, 9861, 7671, 281, 504, 4013, 12790, 1703, 4808, 1703, 14584, 4449, 16, 16511, 2024, 289, 2756, 11891, 282, 769, 2386, 16, 10243, 1011, 924, 16, 428, 504, 9861, 1458, 4848, 6661, 411, 6814, 34378, 16, 37784, 2101, 12437, 1789, 1159, 454, 473, 1037, 1288, 728, 27737, 5628, 934, 374, 1442, 53, 21, 17625, 584, 607, 818, 28874, 8183, 309, 40083, 281, 453, 5374, 1116, 316, 620, 24977, 8994, 510, 12634, 4118, 1951, 635, 2182, 6589, 50001, 16, 1029, 19776, 282, 1033, 828, 10952, 2182, 1165, 1631, 16, 3333, 411, 1639, 3929, 22996, 8943, 2273, 20793, 553, 47673, 289, 17332, 40084, 2682, 20645, 3653, 324, 510, 10751, 20645, 24386, 16, 670, 16297, 7671, 3960, 7628, 20441, 8711, 16, 282, 2114, 32022, 6225, 23422, 289, 472, 13628, 18, 49933, 3793, 5981, 12362, 16, 374, 16, 827, 329, 38604, 322, 25089, 1812, 2197, 411, 19161, 5122, 316, 620, 24977, 286, 1385, 45068, 951, 54, 40, 56, 16, 2388, 17149, 10191, 584, 2549, 16198, 758, 16, 289, 504, 9861, 1458, 6455, 1789, 1159, 454, 21790, 8183, 1442, 53, 21, 309, 14057, 13058, 7821, 317, 1414, 431, 18, 9371, 9935, 5657, 4651, 504, 9861, 1458, 304, 1442, 53, 21, 16, 1789, 1159, 273, 42553, 505, 8183, 309, 36700, 15350, 22823, 49056, 609, 18, 18561, 16, 374, 1177, 25171, 2826, 8908, 7174, 2666, 13058, 7821, 25427, 501, 16, 12998, 13577, 5630, 289, 14343, 622, 41204, 40522, 18177, 16, 309, 808, 17162, 583, 2279, 7018, 584, 2549, 16198, 758, 16, 367, 3621, 481, 13048, 478, 560, 1446, 1489, 470, 316, 620, 24977, 286, 1385, 45068, 16848, 951, 54, 40, 56, 16, 1131, 11228, 282, 17332, 40084, 8292, 20645, 3653, 324, 30, 18886, 332, 1442, 53, 21, 16, 20695, 12345, 294, 44754, 1147, 478, 3509, 22875, 470, 33722, 16, 309, 808, 42727, 505, 411, 14621, 16, 9996, 6946, 4126, 17332, 40084, 2682, 16, 26889, 541, 18427, 43407, 14869, 18, 365, 3198, 8357, 13058, 7821, 48825, 17108, 3525, 18019, 3108, 16, 367, 697, 7581, 473, 1567, 1384, 622, 16, 8748, 42049, 13, 16828, 18, 478, 4441, 14108, 4360, 5221, 309, 8125, 290, 35284, 289, 1325, 3378, 323, 16732, 10343, 4230, 553, 281, 6097, 9795, 26763, 18, 49285, 1442, 53, 21, 1747, 16, 13649, 16, 30440, 18, 3397, 481, 25941, 17853, 16555, 309, 4119, 25811, 10343, 4230, 4489, 910, 510, 41274, 2712, 504, 9861, 1458, 18, 2, 1, 87, 1456, 81, 2448, 30, 4691, 3612, 282, 2059, 411, 676, 2543, 5579, 17, 14723, 1011, 2518, 4699, 8037, 43200, 42380, 9631, 11287, 1175, 24158, 13407, 1429, 18, 4342, 530, 538, 19018, 289, 6569, 7788, 4913, 40994, 4179, 397, 911, 966, 323, 1600, 1155, 323, 289, 8661, 467, 722, 35118, 3971, 18, 31224, 30, 25479, 549, 9631, 11287, 1175, 24158, 13407, 1429, 43200, 282, 11946, 282, 5579, 17, 13825, 309, 20274, 17, 277, 1045, 1354, 1011, 2518, 4699, 8037, 18, 13407, 9067, 24214, 4110, 764, 282, 11023, 7847, 779, 510, 475, 481, 808, 678, 11890, 424, 44081, 14891, 18, 415, 3422, 40994, 3828, 722, 28794, 4137, 40915, 18, 478, 10150, 280, 17049, 28184, 43200, 1800, 5413, 282, 14154, 18, 1253, 40289, 910, 510, 2815, 40915, 18, 21513, 2438, 3665, 16, 374, 30927, 1977, 47127, 281, 351, 635, 424, 9500, 446, 10217, 26256, 18, 1367, 803, 3828, 35163, 7550, 3138, 268, 3051, 273, 18, 6420, 20586, 3050, 30583, 42706, 1018, 13407, 15108, 19911, 455, 282, 17822, 1045, 18, 999, 1205, 519, 978, 11750, 16093, 7335, 282, 21335, 680, 1767, 281, 25288, 3334, 44071, 18552, 282, 11690, 16, 753, 6622, 44592, 282, 7279, 4357, 18152, 371, 23856, 47881, 773, 18, 7838, 718, 17, 9865, 267, 12568, 18, 5890, 567, 808, 8202, 4228, 40407, 282, 11690, 1212, 15992, 653, 15946, 548, 16, 367, 334, 17147, 27858, 906, 4292, 12720, 282, 23655, 269, 31618, 35020, 18, 9384, 8768, 12943, 290, 13407, 15108, 1011, 722, 11769, 309, 14757, 845, 23462, 478, 21837, 643, 323, 35666, 910, 988, 678, 2417, 3391, 15403, 18083, 15742, 3340, 289, 29368, 8255, 837, 478, 1295, 303, 3817, 470, 6166, 33734, 319, 35004, 16, 2838, 3337, 3661, 6860, 814, 23102, 4228, 25824, 481, 18804, 478, 19051, 1123, 304, 470, 289, 36413, 16, 374, 282, 1500, 2083, 282, 2615, 289, 282, 4722, 445, 5464, 332, 19114, 360, 20532, 18, 478, 1358, 906, 40382, 18188, 289, 5404, 22422, 21705, 8735, 290, 5032, 18, 439, 478, 1295, 303, 3817, 470, 4136, 17, 299, 11652, 20627, 18, 33671, 16, 4279, 2508, 722, 16, 18219, 16, 374, 481, 9879, 6157, 18, 459, 15626, 31069, 21541, 16, 25458, 13011, 37377, 16, 988, 417, 906, 11744, 40947, 16, 1320, 2946, 481, 18, 817, 30565, 703, 35730, 16, 11187, 16, 515, 24132, 2236, 30, 703, 2438, 31864, 24677, 360, 1694, 478, 288, 303, 3817, 910, 510, 20331, 282, 3709, 411, 7337, 42380, 9631, 11287, 18, 985, 373, 502, 537, 639, 16, 515, 47680, 16, 2417, 19198, 309, 478, 21837, 643, 304, 5627, 582, 910, 20852, 282, 10980, 668, 29720, 13407, 15108, 18, 967, 803, 349, 475, 808, 1360, 20700, 30927, 29611, 7109, 10756, 291, 16, 961, 21857, 281, 17590, 334, 5049, 1205, 18, 3791, 678, 9033, 977, 282, 28489, 478, 15821, 6834, 549, 3823, 7541, 470, 473, 44987, 934, 478, 1464, 388, 39316, 17, 2895, 4961, 470, 473, 1618, 12630, 934, 478, 9489, 23781, 382, 470, 473, 1618, 11327, 934, 478, 4408, 305, 24158, 13407, 1429, 470, 473, 1618, 9965, 16, 6793, 17, 2499, 38322, 11690, 718, 26643, 934, 478, 6706, 2830, 286, 289, 939, 35369, 470, 473, 1618, 10272, 13, 289, 478, 21837, 643, 839, 2001, 470, 473, 10335, 25, 814, 39212, 607, 334, 30703, 476, 8661, 467, 42706, 1528, 13407, 9067, 428, 7101, 1672, 16, 24814, 289, 11733, 434, 1631, 18, 478, 1358, 939, 7766, 8950, 2137, 286, 16, 1548, 374, 281, 2220, 7784, 656, 8056, 6335, 1805, 16, 1974, 2364, 18878, 986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1224, 18584, 2712, 9216, 15832, 680, 3463, 7110, 19885, 504, 9861, 1458, 18, 1442, 53, 21, 16, 13334, 451, 282, 6292, 2236, 411, 33486, 24917, 289, 35065, 6663, 343, 15284, 504, 9861, 7671, 1312, 288, 11759, 377, 473, 46, 1239, 6607, 77, 934, 726, 7846, 1423, 16054, 371, 23015, 25086, 17203, 289, 4447, 6961, 25086, 4829, 16, 282, 970, 2875, 6963, 273, 45239, 16, 367, 1038, 681, 310, 14453, 510, 289, 1314, 44269, 288, 6473, 15082, 484, 282, 1033, 828, 23256, 15832, 933, 8002, 10875, 334, 4547, 8290, 18, 15940, 16253, 15284, 504, 9861, 7671, 281, 504, 4013, 12790, 1703, 4808, 1703, 14584, 4449, 16, 16511, 2024, 289, 2756, 11891, 282, 769, 2386, 16, 10243, 1011, 924, 16, 428, 504, 9861, 1458, 4848, 6661, 411, 6814, 34378, 16, 37784, 2101, 12437, 1789, 1159, 454, 473, 1037, 1288, 728, 27737, 5628, 934, 374, 1442, 53, 21, 17625, 584, 607, 818, 28874, 8183, 309, 40083, 281, 453, 5374, 1116, 316, 620, 24977, 8994, 510, 12634, 4118, 1951, 635, 2182, 6589, 50001, 16, 1029, 19776, 282, 1033, 828, 10952, 2182, 1165, 1631, 16, 3333, 411, 1639, 3929, 22996, 8943, 2273, 20793, 553, 47673, 289, 17332, 40084, 2682, 20645, 3653, 324, 510, 10751, 20645, 24386, 16, 670, 16297, 7671, 3960, 7628, 20441, 8711, 16, 282, 2114, 32022, 6225, 23422, 289, 472, 13628, 18, 49933, 3793, 5981, 12362, 16, 374, 16, 827, 329, 38604, 322, 25089, 1812, 2197, 411, 19161, 5122, 316, 620, 24977, 286, 1385, 45068, 951, 54, 40, 56, 16, 2388, 17149, 10191, 584, 2549, 16198, 758, 16, 289, 504, 9861, 1458, 6455, 1789, 1159, 454, 21790, 8183, 1442, 53, 21, 309, 14057, 13058, 7821, 317, 1414, 431, 18, 9371, 9935, 5657, 4651, 504, 9861, 1458, 304, 1442, 53, 21, 16, 1789, 1159, 273, 42553, 505, 8183, 309, 36700, 15350, 22823, 49056, 609, 18, 18561, 16, 374, 1177, 25171, 2826, 8908, 7174, 2666, 13058, 7821, 25427, 501, 16, 12998, 13577, 5630, 289, 14343, 622, 41204, 40522, 18177, 16, 309, 808, 17162, 583, 2279, 7018, 584, 2549, 16198, 758, 16, 367, 3621, 481, 13048, 478, 560, 1446, 1489, 470, 316, 620, 24977, 286, 1385, 45068, 16848, 951, 54, 40, 56, 16, 1131, 11228, 282, 17332, 40084, 8292, 20645, 3653, 324, 30, 18886, 332, 1442, 53, 21, 16, 20695, 12345, 294, 44754, 1147, 478, 3509, 22875, 470, 33722, 16, 309, 808, 42727, 505, 411, 14621, 16, 9996, 6946, 4126, 17332, 40084, 2682, 16, 26889, 541, 18427, 43407, 14869, 18, 365, 3198, 8357, 13058, 7821, 48825, 17108, 3525, 18019, 3108, 16, 367, 697, 7581, 473, 1567, 1384, 622, 16, 8748, 42049, 13, 16828, 18, 478, 4441, 14108, 4360, 5221, 309, 8125, 290, 35284, 289, 1325, 3378, 323, 16732, 10343, 4230, 553, 281, 6097, 9795, 26763, 18, 49285, 1442, 53, 21, 1747, 16, 13649, 16, 30440, 18, 3397, 481, 25941, 17853, 16555, 309, 4119, 25811, 10343, 4230, 4489, 910, 510, 41274, 2712, 504, 9861, 1458, 18, 2, 1, 87, 1456, 81, 2448, 30, 4691, 3612, 282, 2059, 411, 676, 2543, 5579, 17, 14723, 1011, 2518, 4699, 8037, 43200, 42380, 9631, 11287, 1175, 24158, 13407, 1429, 18, 4342, 530, 538, 19018, 289, 6569, 7788, 4913, 40994, 4179, 397, 911, 966, 323, 1600, 1155, 323, 289, 8661, 467, 722, 35118, 3971, 18, 31224, 30, 25479, 549, 9631, 11287, 1175, 24158, 13407, 1429, 43200, 282, 11946, 282, 5579, 17, 13825, 309, 20274, 17, 277, 1045, 1354, 1011, 2518, 4699, 8037, 18, 13407, 9067, 24214, 4110, 764, 282, 11023, 7847, 779, 510, 475, 481, 808, 678, 11890, 424, 44081, 14891, 18, 415, 3422, 40994, 3828, 722, 28794, 4137, 40915, 18, 478, 10150, 280, 17049, 28184, 43200, 1800, 5413, 282, 14154, 18, 1253, 40289, 910, 510, 2815, 40915, 18, 21513, 2438, 3665, 16, 374, 30927, 1977, 47127, 281, 351, 635, 424, 9500, 446, 10217, 26256, 18, 1367, 803, 3828, 35163, 7550, 3138, 268, 3051, 273, 18, 6420, 20586, 3050, 30583, 42706, 1018, 13407, 15108, 19911, 455, 282, 17822, 1045, 18, 999, 1205, 519, 978, 11750, 16093, 7335, 282, 21335, 680, 1767, 281, 25288, 3334, 44071, 18552, 282, 11690, 16, 753, 6622, 44592, 282, 7279, 4357, 18152, 371, 23856, 47881, 773, 18, 7838, 718, 17, 9865, 267, 12568, 18, 5890, 567, 808, 8202, 4228, 40407, 282, 11690, 1212, 15992, 653, 15946, 548, 16, 367, 334, 17147, 27858, 906, 4292, 12720, 282, 23655, 269, 31618, 35020, 18, 9384, 8768, 12943, 290, 13407, 15108, 1011, 722, 11769, 309, 14757, 845, 23462, 478, 21837, 643, 323, 35666, 910, 988, 678, 2417, 3391, 15403, 18083, 15742, 3340, 289, 29368, 8255, 837, 478, 1295, 303, 3817, 470, 6166, 33734, 319, 35004, 16, 2838, 3337, 3661, 6860, 814, 23102, 4228, 25824, 481, 18804, 478, 19051, 1123, 304, 470, 289, 36413, 16, 374, 282, 1500, 2083, 282, 2615, 289, 282, 4722, 445, 5464, 332, 19114, 360, 20532, 18, 478, 1358, 906, 40382, 18188, 289, 5404, 22422, 21705, 8735, 290, 5032, 18, 439, 478, 1295, 303, 3817, 470, 4136, 17, 299, 11652, 20627, 18, 33671, 16, 4279, 2508, 722, 16, 18219, 16, 374, 481, 9879, 6157, 18, 459, 15626, 31069, 21541, 16, 25458, 13011, 37377, 16, 988, 417, 906, 11744, 40947, 16, 1320, 2946, 481, 18, 817, 30565, 703, 35730, 16, 11187, 16, 515, 24132, 2236, 30, 703, 2438, 31864, 24677, 360, 1694, 478, 288, 303, 3817, 910, 510, 20331, 282, 3709, 411, 7337, 42380, 9631, 11287, 18, 985, 373, 502, 537, 639, 16, 515, 47680, 16, 2417, 19198, 309, 478, 21837, 643, 304, 5627, 582, 910, 20852, 282, 10980, 668, 29720, 13407, 15108, 18, 967, 803, 349, 475, 808, 1360, 20700, 30927, 29611, 7109, 10756, 291, 16, 961, 21857, 281, 17590, 334, 5049, 1205, 18, 3791, 678, 9033, 977, 282, 28489, 478, 15821, 6834, 549, 3823, 7541, 470, 473, 44987, 934, 478, 1464, 388, 39316, 17, 2895, 4961, 470, 473, 1618, 12630, 934, 478, 9489, 23781, 382, 470, 473, 1618, 11327, 934, 478, 4408, 305, 24158, 13407, 1429, 470, 473, 1618, 9965, 16, 6793, 17, 2499, 38322, 11690, 718, 26643, 934, 478, 6706, 2830, 286, 289, 939, 35369, 470, 473, 1618, 10272, 13, 289, 478, 21837, 643, 839, 2001, 470, 473, 10335, 25, 814, 39212, 607, 334, 30703, 476, 8661, 467, 42706, 1528, 13407, 9067, 428, 7101, 1672, 16, 24814, 289, 11733, 434, 1631, 18, 478, 1358, 939, 7766, 8950, 2137, 286, 16, 1548, 374, 281, 2220, 7784, 656, 8056, 6335, 1805, 16, 1974, 2364, 18878, 986 ]
[ 16, 289, 16, 2091, 16, 481, 19923, 541, 3662, 30703, 49623, 7541, 16, 2141, 541, 7541, 16, 1548, 374, 678, 906, 5406, 8214, 35578, 20887, 853, 18, 1253, 13000, 282, 653, 15946, 464, 16, 9033, 977, 282, 4889, 16, 33407, 1909, 16365, 16, 40407, 8735, 16, 289, 417, 11451, 685, 281, 1420, 282, 4856, 1165, 289, 349, 17784, 16, 289, 282, 1175, 910, 510, 23081, 36618, 9867, 2502, 15561, 18, 817, 4725, 16, 374, 12181, 8776, 9594, 840, 1500, 5809, 16, 374, 722, 1609, 764, 840, 2693, 14819, 319, 282, 5806, 11854, 18, 457, 12017, 383, 18907, 30936, 20021, 1624, 1586, 13000, 281, 8537, 416, 1195, 2671, 1212, 1560, 22649, 478, 2997, 16671, 2193, 910, 9321, 16, 374, 24158, 13407, 1429, 1611, 1154, 7642, 2513, 3134, 1631, 16, 515, 371, 803, 475, 575, 11802, 1450, 7683, 18, 478, 30991, 541, 703, 5831, 2636, 14535, 939, 11578, 2135, 16, 417, 16706, 939, 31811, 1631, 18, 2220, 347, 906, 1543, 16, 294, 1754, 942, 639, 371, 11120, 282, 18606, 2849, 1360, 1354, 910, 510, 8977, 20021, 18, 25765, 16391, 9631, 10226, 1038, 17684, 36618, 289, 35163, 18159, 4801, 394, 3141, 18, 478, 4441, 12534, 289, 6054, 16, 5907, 7906, 18, 629, 1904, 722, 2946, 16, 656, 2944, 898, 19394, 910, 510, 3828, 4801, 394, 3141, 18, 817, 5692, 16, 374, 13407, 1429, 906, 14158, 5406, 16, 4719, 4946, 48947, 3409, 16, 3348, 411, 3322, 25393, 289, 25327, 5418, 35674, 309, 27683, 13297, 18, 478, 4441, 417, 2820, 2060, 289, 2447, 381, 803, 3111, 16, 3387, 685, 1494, 722, 8941, 2409, 18, 3782, 27572, 7101, 564, 49156, 1514, 722, 24074, 289, 867, 16, 1085, 722, 2946, 910, 510, 1109, 4801, 394, 3141, 18, 10879, 549, 9631, 11287, 3875, 7009, 1004, 378, 1919, 890, 1038, 25824, 3554, 13407, 15108, 3084, 1600, 1155, 323, 18, 478, 684, 6095, 16, 2309, 453, 41601, 16, 374, 808, 360, 1612, 16576, 305, 294, 1190, 1512, 16, 3279, 764, 942, 639, 2693, 3660, 18, 40767, 2220, 660, 1645, 13407, 15108, 510, 1500, 3022, 18, 3654, 678, 16, 37136, 16499, 273, 16, 15328, 1135, 281, 6172, 388, 1703, 6485, 16, 2006, 3433, 30927, 10956, 7885, 35, 421, 11383, 764, 3660, 289, 3660, 16, 22422, 289, 22422, 541, 813, 1617, 9521, 14351, 8735, 18, 31440, 5571, 4765, 13132, 5741, 4189, 282, 19310, 1212, 6900, 16, 329, 1710, 898, 8839, 1733, 1264, 289, 22101, 11878, 12923, 18, 37343, 322, 33303, 23614, 16, 374, 722, 2493, 322, 840, 910, 510, 8977, 30927, 18, 10879, 451, 25372, 3875, 16, 11309, 16934, 29884, 24293, 13924, 5273, 16, 374, 2567, 48738, 48947, 321, 16, 428, 13407, 1429, 16, 1314, 1003, 309, 7583, 30703, 476, 18, 478, 21393, 1269, 25393, 16, 1269, 1609, 5952, 770, 16, 515, 1215, 281, 49439, 6485, 16, 1851, 685, 329, 42706, 1018, 16, 510, 1003, 2567, 18, 2387, 16, 294, 6095, 18, 1735, 417, 2401, 11941, 1847, 289, 764, 33526, 19457, 18, 8071, 48738, 8113, 16, 687, 1168, 276, 16827, 697, 510, 289, 1833, 428, 17, 299, 2054, 456, 15747, 309, 6151, 910, 510, 1109, 24293, 13924, 18, 817, 4725, 16, 374, 30927, 2002, 322, 906, 24076, 324, 537, 282, 4700, 16816, 5868, 16, 32922, 292, 18, 478, 1009, 370, 401, 906, 4366, 16, 828, 3207, 18, 17614, 18, 1253, 906, 1299, 1514, 939, 18267, 18, 629, 5216, 6851, 290, 722, 8037, 2944, 726, 16, 282, 5579, 17, 13825, 910, 510, 5692, 11309, 16934, 18, 640, 4913, 16391, 9631, 10226, 36229, 5037, 3569, 9297, 354, 1175, 4137, 421, 2004, 778, 18, 817, 8566, 722, 3554, 3084, 1600, 1155, 323, 541, 27683, 5319, 18, 478, 19115, 466, 1242, 14285, 1164, 16, 1189, 4562, 289, 25327, 7870, 16, 678, 19202, 332, 1423, 1805, 7773, 4380, 510, 1732, 954, 30613, 289, 5067, 18, 24158, 28184, 7801, 9910, 10574, 3971, 16, 722, 14197, 1609, 289, 22101, 11878, 43862, 13144, 898, 1904, 19394, 21084, 2759, 2553, 16, 8941, 4151, 30703, 26193, 8735, 910, 510, 13120, 282, 22325, 482, 16, 9362, 16, 6489, 4068, 309, 3614, 11413, 18, 832, 6088, 749, 819, 10386, 289, 15689, 5579, 17, 14723, 19287, 37637, 6235, 18, 478, 14842, 10038, 32397, 434, 40459, 16, 25327, 7870, 3708, 16, 15127, 632, 303, 3817, 12765, 289, 7583, 30703, 700, 510, 1574, 722, 6745, 289, 20223, 18048, 28654, 18, 4988, 39200, 1545, 1609, 22855, 300, 4289, 20406, 9915, 318, 5208, 910, 510, 38964, 609, 300, 37637, 6235, 18, 817, 4725, 16, 374, 42706, 1528, 13407, 9067, 12019, 20223, 322, 687, 349, 2524, 2837, 289, 1187, 6183, 3878, 31696, 16, 515, 289, 349, 28467, 16, 45415, 668, 11733, 622, 16, 281, 1754, 678, 2417, 10501, 8735, 18, 478, 1140, 490, 411, 1354, 42706, 1018, 13407, 15108, 651, 17158, 19923, 541, 5752, 30161, 16, 1209, 16, 4106, 678, 581, 6818, 6531, 289, 9901, 3319, 2934, 7054, 16, 35232, 46423, 39328, 16141, 16, 9611, 282, 13609, 910, 510, 2815, 15689, 5579, 17, 14723, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 13945, 2503, 17, 14776, 293, 470, 21708, 294, 5182, 1876, 282, 46252, 1161, 16, 37888, 4669, 16, 29480, 27491, 16, 367, 1038, 282, 1702, 4325, 426, 16, 4848, 48891, 33498, 3463, 6070, 19791, 1496, 18, 640, 481, 12350, 20676, 2764, 16, 20881, 360, 10929, 11400, 457, 13628, 17, 38, 52, 18, 365, 5344, 24637, 1747, 16, 428, 12453, 4137, 6732, 16, 282, 1175, 16, 515, 912, 289, 1817, 20072, 9206, 18, 31224, 30, 42699, 17704, 16, 48891, 33498, 478, 13945, 2503, 17, 14776, 293, 470, 6070, 19791, 1496, 473, 1334, 539, 5296, 510, 4843, 3902, 16, 25, 5096, 16, 15173, 17, 263, 1756, 282, 14526, 47208, 1624, 491, 17, 263, 334, 1175, 13, 25356, 19311, 26821, 16, 309, 961, 1747, 19196, 2764, 16, 11453, 7050, 360, 10929, 18828, 478, 13945, 2503, 17, 14776, 293, 470, 282, 457, 13628, 17, 38, 52, 18, 1367, 803, 492, 4848, 282, 7337, 14415, 1273, 27971, 15402, 24639, 18, 365, 5254, 1855, 2764, 19791, 1496, 15069, 282, 1175, 670, 24213, 7338, 18, 12883, 363, 2750, 12350, 282, 46252, 1161, 16, 37888, 4669, 16, 29480, 27491, 16, 367, 1038, 282, 1702, 4325, 426, 18, 365, 11023, 4018, 779, 4770, 4137, 6732, 12453, 381, 803, 18, 478, 11233, 373, 939, 3813, 16, 753, 870, 3674, 473, 911, 610, 1453, 4956, 350, 377, 40348, 776, 19789, 360, 10929, 18828, 457, 13628, 17, 38, 52, 13, 670, 29395, 697, 2301, 9513, 925, 282, 33788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 16, 2091, 16, 481, 19923, 541, 3662, 30703, 49623, 7541, 16, 2141, 541, 7541, 16, 1548, 374, 678, 906, 5406, 8214, 35578, 20887, 853, 18, 1253, 13000, 282, 653, 15946, 464, 16, 9033, 977, 282, 4889, 16, 33407, 1909, 16365, 16, 40407, 8735, 16, 289, 417, 11451, 685, 281, 1420, 282, 4856, 1165, 289, 349, 17784, 16, 289, 282, 1175, 910, 510, 23081, 36618, 9867, 2502, 15561, 18, 817, 4725, 16, 374, 12181, 8776, 9594, 840, 1500, 5809, 16, 374, 722, 1609, 764, 840, 2693, 14819, 319, 282, 5806, 11854, 18, 457, 12017, 383, 18907, 30936, 20021, 1624, 1586, 13000, 281, 8537, 416, 1195, 2671, 1212, 1560, 22649, 478, 2997, 16671, 2193, 910, 9321, 16, 374, 24158, 13407, 1429, 1611, 1154, 7642, 2513, 3134, 1631, 16, 515, 371, 803, 475, 575, 11802, 1450, 7683, 18, 478, 30991, 541, 703, 5831, 2636, 14535, 939, 11578, 2135, 16, 417, 16706, 939, 31811, 1631, 18, 2220, 347, 906, 1543, 16, 294, 1754, 942, 639, 371, 11120, 282, 18606, 2849, 1360, 1354, 910, 510, 8977, 20021, 18, 25765, 16391, 9631, 10226, 1038, 17684, 36618, 289, 35163, 18159, 4801, 394, 3141, 18, 478, 4441, 12534, 289, 6054, 16, 5907, 7906, 18, 629, 1904, 722, 2946, 16, 656, 2944, 898, 19394, 910, 510, 3828, 4801, 394, 3141, 18, 817, 5692, 16, 374, 13407, 1429, 906, 14158, 5406, 16, 4719, 4946, 48947, 3409, 16, 3348, 411, 3322, 25393, 289, 25327, 5418, 35674, 309, 27683, 13297, 18, 478, 4441, 417, 2820, 2060, 289, 2447, 381, 803, 3111, 16, 3387, 685, 1494, 722, 8941, 2409, 18, 3782, 27572, 7101, 564, 49156, 1514, 722, 24074, 289, 867, 16, 1085, 722, 2946, 910, 510, 1109, 4801, 394, 3141, 18, 10879, 549, 9631, 11287, 3875, 7009, 1004, 378, 1919, 890, 1038, 25824, 3554, 13407, 15108, 3084, 1600, 1155, 323, 18, 478, 684, 6095, 16, 2309, 453, 41601, 16, 374, 808, 360, 1612, 16576, 305, 294, 1190, 1512, 16, 3279, 764, 942, 639, 2693, 3660, 18, 40767, 2220, 660, 1645, 13407, 15108, 510, 1500, 3022, 18, 3654, 678, 16, 37136, 16499, 273, 16, 15328, 1135, 281, 6172, 388, 1703, 6485, 16, 2006, 3433, 30927, 10956, 7885, 35, 421, 11383, 764, 3660, 289, 3660, 16, 22422, 289, 22422, 541, 813, 1617, 9521, 14351, 8735, 18, 31440, 5571, 4765, 13132, 5741, 4189, 282, 19310, 1212, 6900, 16, 329, 1710, 898, 8839, 1733, 1264, 289, 22101, 11878, 12923, 18, 37343, 322, 33303, 23614, 16, 374, 722, 2493, 322, 840, 910, 510, 8977, 30927, 18, 10879, 451, 25372, 3875, 16, 11309, 16934, 29884, 24293, 13924, 5273, 16, 374, 2567, 48738, 48947, 321, 16, 428, 13407, 1429, 16, 1314, 1003, 309, 7583, 30703, 476, 18, 478, 21393, 1269, 25393, 16, 1269, 1609, 5952, 770, 16, 515, 1215, 281, 49439, 6485, 16, 1851, 685, 329, 42706, 1018, 16, 510, 1003, 2567, 18, 2387, 16, 294, 6095, 18, 1735, 417, 2401, 11941, 1847, 289, 764, 33526, 19457, 18, 8071, 48738, 8113, 16, 687, 1168, 276, 16827, 697, 510, 289, 1833, 428, 17, 299, 2054, 456, 15747, 309, 6151, 910, 510, 1109, 24293, 13924, 18, 817, 4725, 16, 374, 30927, 2002, 322, 906, 24076, 324, 537, 282, 4700, 16816, 5868, 16, 32922, 292, 18, 478, 1009, 370, 401, 906, 4366, 16, 828, 3207, 18, 17614, 18, 1253, 906, 1299, 1514, 939, 18267, 18, 629, 5216, 6851, 290, 722, 8037, 2944, 726, 16, 282, 5579, 17, 13825, 910, 510, 5692, 11309, 16934, 18, 640, 4913, 16391, 9631, 10226, 36229, 5037, 3569, 9297, 354, 1175, 4137, 421, 2004, 778, 18, 817, 8566, 722, 3554, 3084, 1600, 1155, 323, 541, 27683, 5319, 18, 478, 19115, 466, 1242, 14285, 1164, 16, 1189, 4562, 289, 25327, 7870, 16, 678, 19202, 332, 1423, 1805, 7773, 4380, 510, 1732, 954, 30613, 289, 5067, 18, 24158, 28184, 7801, 9910, 10574, 3971, 16, 722, 14197, 1609, 289, 22101, 11878, 43862, 13144, 898, 1904, 19394, 21084, 2759, 2553, 16, 8941, 4151, 30703, 26193, 8735, 910, 510, 13120, 282, 22325, 482, 16, 9362, 16, 6489, 4068, 309, 3614, 11413, 18, 832, 6088, 749, 819, 10386, 289, 15689, 5579, 17, 14723, 19287, 37637, 6235, 18, 478, 14842, 10038, 32397, 434, 40459, 16, 25327, 7870, 3708, 16, 15127, 632, 303, 3817, 12765, 289, 7583, 30703, 700, 510, 1574, 722, 6745, 289, 20223, 18048, 28654, 18, 4988, 39200, 1545, 1609, 22855, 300, 4289, 20406, 9915, 318, 5208, 910, 510, 38964, 609, 300, 37637, 6235, 18, 817, 4725, 16, 374, 42706, 1528, 13407, 9067, 12019, 20223, 322, 687, 349, 2524, 2837, 289, 1187, 6183, 3878, 31696, 16, 515, 289, 349, 28467, 16, 45415, 668, 11733, 622, 16, 281, 1754, 678, 2417, 10501, 8735, 18, 478, 1140, 490, 411, 1354, 42706, 1018, 13407, 15108, 651, 17158, 19923, 541, 5752, 30161, 16, 1209, 16, 4106, 678, 581, 6818, 6531, 289, 9901, 3319, 2934, 7054, 16, 35232, 46423, 39328, 16141, 16, 9611, 282, 13609, 910, 510, 2815, 15689, 5579, 17, 14723, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 13945, 2503, 17, 14776, 293, 470, 21708, 294, 5182, 1876, 282, 46252, 1161, 16, 37888, 4669, 16, 29480, 27491, 16, 367, 1038, 282, 1702, 4325, 426, 16, 4848, 48891, 33498, 3463, 6070, 19791, 1496, 18, 640, 481, 12350, 20676, 2764, 16, 20881, 360, 10929, 11400, 457, 13628, 17, 38, 52, 18, 365, 5344, 24637, 1747, 16, 428, 12453, 4137, 6732, 16, 282, 1175, 16, 515, 912, 289, 1817, 20072, 9206, 18, 31224, 30, 42699, 17704, 16, 48891, 33498, 478, 13945, 2503, 17, 14776, 293, 470, 6070, 19791, 1496, 473, 1334, 539, 5296, 510, 4843, 3902, 16, 25, 5096, 16, 15173, 17, 263, 1756, 282, 14526, 47208, 1624, 491, 17, 263, 334, 1175, 13, 25356, 19311, 26821, 16, 309, 961, 1747, 19196, 2764, 16, 11453, 7050, 360, 10929, 18828, 478, 13945, 2503, 17, 14776, 293, 470, 282, 457, 13628, 17, 38, 52, 18, 1367, 803, 492, 4848, 282, 7337, 14415, 1273, 27971, 15402, 24639, 18, 365, 5254, 1855, 2764, 19791, 1496, 15069, 282, 1175, 670, 24213, 7338, 18, 12883, 363, 2750, 12350, 282, 46252, 1161, 16, 37888, 4669, 16, 29480, 27491, 16, 367, 1038, 282, 1702, 4325, 426, 18, 365, 11023, 4018, 779, 4770, 4137, 6732, 12453, 381, 803, 18, 478, 11233, 373, 939, 3813, 16, 753, 870, 3674, 473, 911, 610, 1453, 4956, 350, 377, 40348, 776, 19789, 360, 10929, 18828, 457, 13628, 17, 38, 52, 13, 670, 29395, 697, 2301, 9513, 925, 282, 33788 ]
[ 22945, 18, 11324, 16, 745, 21005, 3003, 282, 4356, 6153, 2682, 282, 33788, 22945, 910, 384, 1109, 6732, 18, 824, 3163, 19791, 5687, 16, 322, 687, 1177, 20349, 28726, 9118, 478, 13945, 5619, 861, 478, 1659, 12774, 4538, 16, 2874, 10855, 1373, 720, 26108, 510, 322, 411, 17, 431, 3338, 11065, 24032, 400, 295, 16, 515, 1548, 374, 3771, 510, 6917, 1261, 12869, 8768, 16, 1336, 329, 813, 912, 24886, 448, 14125, 910, 510, 4725, 17704, 18, 27498, 525, 6266, 381, 11079, 281, 16527, 492, 14403, 16, 374, 322, 3365, 16, 374, 2174, 478, 35131, 3839, 22751, 861, 478, 4348, 21922, 322, 7739, 1157, 16, 510, 3973, 492, 18, 510, 1345, 2002, 322, 35082, 8448, 1066, 289, 2002, 322, 8089, 326, 282, 13354, 861, 999, 13952, 1175, 478, 13945, 2503, 470, 1038, 29569, 309, 11460, 289, 37888, 553, 18, 478, 5786, 1190, 6348, 322, 2890, 16, 428, 6026, 2173, 277, 1855, 475, 870, 6053, 16, 510, 2548, 19791, 1496, 18, 510, 889, 9605, 861, 365, 11500, 4956, 350, 377, 748, 776, 19789, 473, 14880, 74, 69, 13536, 19791, 5687, 1624, 14805, 5553, 24198, 23248, 504, 3897, 266, 837, 289, 1075, 534, 27933, 17514, 46853, 12887, 21145, 6778, 3619, 360, 478, 49867, 470, 4843, 6462, 16, 13040, 5096, 18, 478, 13945, 2800, 470, 2879, 906, 2164, 506, 4652, 13004, 1335, 12512, 18, 37773, 16, 374, 784, 2504, 322, 43800, 16, 515, 656, 7012, 1329, 322, 46469, 473, 431, 481, 13, 910, 510, 2548, 19791, 1496, 18, 3739, 282, 12500, 16, 334, 3761, 11861, 16, 39762, 6187, 457, 13628, 17, 38, 52, 289, 16987, 29186, 478, 13945, 2503, 17, 14776, 293, 470, 19457, 15690, 473, 2479, 23, 17, 263, 1756, 282, 14526, 47208, 16, 1912, 17, 263, 334, 1175, 16, 4843, 2479, 16, 25, 5096, 13, 7609, 19934, 281, 373, 8309, 44950, 951, 52, 28552, 3663, 50035, 10171, 272, 547, 289, 21472, 20678, 1486, 3663, 282, 14109, 289, 9813, 364, 19435, 43967, 26945, 282, 3531, 14852, 448, 12890, 18, 19791, 1496, 42383, 8343, 17227, 282, 18202, 11400, 951, 52, 18, 478, 13456, 745, 322, 46477, 924, 16616, 16, 1029, 1299, 685, 6040, 910, 510, 18590, 492, 18, 1540, 1246, 2587, 280, 541, 40157, 282, 22754, 282, 2145, 16, 290, 2114, 6605, 5825, 282, 4440, 1045, 1624, 1055, 687, 36927, 36912, 18, 478, 4348, 4885, 12954, 2127, 4211, 17, 7701, 7170, 322, 8105, 1166, 16, 2391, 16, 294, 6095, 16, 6110, 48700, 309, 13425, 879, 5667, 289, 3952, 910, 510, 3973, 282, 2630, 281, 2184, 19791, 1496, 18, 478, 630, 326, 4640, 1711, 4011, 19791, 5687, 470, 282, 1175, 2394, 15844, 28684, 537, 460, 1251, 1230, 5094, 5934, 5613, 289, 47684, 7095, 758, 49338, 2389, 16, 3279, 5844, 318, 8485, 2257, 1767, 16, 289, 44989, 5942, 7771, 16, 1639, 30352, 29487, 541, 3281, 12647, 8786, 16, 7332, 1234, 55, 46, 1694, 5603, 486, 13588, 2587, 347, 1902, 7497, 83, 46043, 22857, 31379, 391, 599, 669, 18, 478, 3743, 481, 18372, 19589, 2576, 1139, 322, 24554, 2444, 282, 6402, 4211, 17, 29172, 272, 910, 510, 5273, 391, 19324, 18, 2, 1, 87, 1456, 81, 2448, 30, 1605, 3646, 17, 1117, 275, 1214, 354, 5035, 35109, 34031, 39172, 2839, 23570, 16, 1029, 14751, 10855, 11268, 567, 808, 34007, 14016, 282, 4145, 1045, 16, 5412, 19412, 294, 816, 17912, 17288, 434, 12851, 18, 2320, 25262, 30143, 282, 34388, 289, 14412, 45432, 4678, 16, 367, 1038, 26099, 4939, 432, 33014, 31279, 272, 16, 309, 5137, 1639, 1718, 1323, 478, 13776, 1880, 14781, 470, 41867, 8367, 18, 2839, 23570, 1038, 25262, 30143, 282, 27063, 8410, 18942, 27803, 416, 14016, 16, 374, 895, 1852, 34156, 541, 773, 589, 283, 1778, 16078, 864, 18, 31224, 30, 45433, 17154, 15320, 4830, 2145, 5035, 35109, 28565, 367, 19209, 2839, 2817, 685, 14449, 30143, 282, 34388, 45432, 4678, 289, 14412, 20232, 917, 292, 18, 2320, 5412, 19412, 294, 28950, 17912, 16886, 16, 3110, 44938, 18, 824, 3761, 478, 26627, 17, 818, 17, 440, 910, 492, 1038, 685, 24482, 1282, 7615, 363, 309, 4843, 22, 3763, 18, 2839, 2817, 510, 2197, 411, 23572, 10279, 282, 453, 5374, 304, 478, 13776, 1212, 47879, 470, 6246, 16795, 6948, 287, 27837, 41867, 8367, 18, 2320, 31439, 282, 1480, 366, 4543, 15248, 16891, 1251, 16078, 3258, 510, 1655, 38345, 282, 32712, 510, 289, 27218, 3251, 758, 17623, 18, 2839, 2817, 22014, 16, 374, 40309, 281, 9365, 1080, 360, 3946, 34031, 334, 5083, 6997, 36745, 298, 807, 282, 3507, 18, 817, 1038, 2815, 16, 374, 3785, 34031, 935, 15837, 26521, 279, 645, 890, 948, 37712, 21935, 28505, 29813, 18, 5181, 16, 3235, 505, 1280, 16, 1888, 20481, 1967, 43089, 1003, 18, 2046, 5747, 492, 14403, 16, 374, 4263, 31279, 272, 2145, 4939, 448, 17187, 309, 1177, 2948, 18, 999, 481, 17201, 492, 1038, 685, 49441, 18, 31818, 17376, 2228, 326, 43209, 9798, 23394, 478, 273, 4679, 1986, 4287, 16886, 349, 4939, 448, 17187, 31279, 272, 861, 365, 3998, 3972, 28565, 282, 3177, 43287, 6463, 16, 374, 505, 8851, 15320, 23191, 11335, 17288, 434, 12783, 16, 3387, 492, 720, 5342, 16, 753, 9422, 16409, 1489, 15857, 18, 824, 505, 3163, 16, 2839, 2817, 20092, 1893, 3182, 16, 753, 9422, 8236, 416, 541, 965, 15154, 477, 23285, 16, 1586, 289, 453, 726, 20165, 5009, 10574, 3017, 18, 478, 21357, 7515, 2839, 2817, 14868, 1551, 322, 5412, 42063, 505, 294, 17288, 1147, 33260, 18, 1012, 5387, 2023, 16, 374, 492, 895, 22473, 475, 42145, 4465, 16, 961, 322, 4247, 3361, 294, 16078, 864, 16, 11419, 281, 45432, 5613, 16, 13506, 32826, 10776, 16, 11305, 289, 2222, 21178, 16, 289, 322, 360, 35131, 36425, 17288, 451, 3017, 42630, 510, 6463, 28565, 18, 3557, 322, 2619, 16, 10566, 2839, 599, 392, 510, 6439, 541, 34031, 18, 10334, 2496, 15116, 19690, 8895, 16, 1551, 1038, 13749, 16789, 2839, 23570, 282, 27063, 8410, 18942, 27803, 416, 14016, 18, 14654, 3419, 290, 6524, 2662, 2839, 23570, 4679, 3274, 26935, 13279, 4830, 510, 17980, 1326, 5321, 275, 4695, 37962, 353, 27400, 6408, 267, 289, 20120, 3313, 304, 40084, 9630, 18884, 70, 4241, 6001, 286, 4048, 554, 4041, 18, 3747, 583, 2839, 2817, 322, 18701, 697, 11875, 16, 11916, 1453, 282, 24617, 33841, 10286, 289, 12512, 38886, 281, 5517, 353, 1967, 12706, 18, 2263, 5809, 28029, 349, 15439, 1967, 4717, 895, 23503, 1472, 367, 1024, 1940, 536, 3892, 635, 16, 2686, 4836, 1336, 502, 16, 374, 22204 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22945, 18, 11324, 16, 745, 21005, 3003, 282, 4356, 6153, 2682, 282, 33788, 22945, 910, 384, 1109, 6732, 18, 824, 3163, 19791, 5687, 16, 322, 687, 1177, 20349, 28726, 9118, 478, 13945, 5619, 861, 478, 1659, 12774, 4538, 16, 2874, 10855, 1373, 720, 26108, 510, 322, 411, 17, 431, 3338, 11065, 24032, 400, 295, 16, 515, 1548, 374, 3771, 510, 6917, 1261, 12869, 8768, 16, 1336, 329, 813, 912, 24886, 448, 14125, 910, 510, 4725, 17704, 18, 27498, 525, 6266, 381, 11079, 281, 16527, 492, 14403, 16, 374, 322, 3365, 16, 374, 2174, 478, 35131, 3839, 22751, 861, 478, 4348, 21922, 322, 7739, 1157, 16, 510, 3973, 492, 18, 510, 1345, 2002, 322, 35082, 8448, 1066, 289, 2002, 322, 8089, 326, 282, 13354, 861, 999, 13952, 1175, 478, 13945, 2503, 470, 1038, 29569, 309, 11460, 289, 37888, 553, 18, 478, 5786, 1190, 6348, 322, 2890, 16, 428, 6026, 2173, 277, 1855, 475, 870, 6053, 16, 510, 2548, 19791, 1496, 18, 510, 889, 9605, 861, 365, 11500, 4956, 350, 377, 748, 776, 19789, 473, 14880, 74, 69, 13536, 19791, 5687, 1624, 14805, 5553, 24198, 23248, 504, 3897, 266, 837, 289, 1075, 534, 27933, 17514, 46853, 12887, 21145, 6778, 3619, 360, 478, 49867, 470, 4843, 6462, 16, 13040, 5096, 18, 478, 13945, 2800, 470, 2879, 906, 2164, 506, 4652, 13004, 1335, 12512, 18, 37773, 16, 374, 784, 2504, 322, 43800, 16, 515, 656, 7012, 1329, 322, 46469, 473, 431, 481, 13, 910, 510, 2548, 19791, 1496, 18, 3739, 282, 12500, 16, 334, 3761, 11861, 16, 39762, 6187, 457, 13628, 17, 38, 52, 289, 16987, 29186, 478, 13945, 2503, 17, 14776, 293, 470, 19457, 15690, 473, 2479, 23, 17, 263, 1756, 282, 14526, 47208, 16, 1912, 17, 263, 334, 1175, 16, 4843, 2479, 16, 25, 5096, 13, 7609, 19934, 281, 373, 8309, 44950, 951, 52, 28552, 3663, 50035, 10171, 272, 547, 289, 21472, 20678, 1486, 3663, 282, 14109, 289, 9813, 364, 19435, 43967, 26945, 282, 3531, 14852, 448, 12890, 18, 19791, 1496, 42383, 8343, 17227, 282, 18202, 11400, 951, 52, 18, 478, 13456, 745, 322, 46477, 924, 16616, 16, 1029, 1299, 685, 6040, 910, 510, 18590, 492, 18, 1540, 1246, 2587, 280, 541, 40157, 282, 22754, 282, 2145, 16, 290, 2114, 6605, 5825, 282, 4440, 1045, 1624, 1055, 687, 36927, 36912, 18, 478, 4348, 4885, 12954, 2127, 4211, 17, 7701, 7170, 322, 8105, 1166, 16, 2391, 16, 294, 6095, 16, 6110, 48700, 309, 13425, 879, 5667, 289, 3952, 910, 510, 3973, 282, 2630, 281, 2184, 19791, 1496, 18, 478, 630, 326, 4640, 1711, 4011, 19791, 5687, 470, 282, 1175, 2394, 15844, 28684, 537, 460, 1251, 1230, 5094, 5934, 5613, 289, 47684, 7095, 758, 49338, 2389, 16, 3279, 5844, 318, 8485, 2257, 1767, 16, 289, 44989, 5942, 7771, 16, 1639, 30352, 29487, 541, 3281, 12647, 8786, 16, 7332, 1234, 55, 46, 1694, 5603, 486, 13588, 2587, 347, 1902, 7497, 83, 46043, 22857, 31379, 391, 599, 669, 18, 478, 3743, 481, 18372, 19589, 2576, 1139, 322, 24554, 2444, 282, 6402, 4211, 17, 29172, 272, 910, 510, 5273, 391, 19324, 18, 2, 1, 87, 1456, 81, 2448, 30, 1605, 3646, 17, 1117, 275, 1214, 354, 5035, 35109, 34031, 39172, 2839, 23570, 16, 1029, 14751, 10855, 11268, 567, 808, 34007, 14016, 282, 4145, 1045, 16, 5412, 19412, 294, 816, 17912, 17288, 434, 12851, 18, 2320, 25262, 30143, 282, 34388, 289, 14412, 45432, 4678, 16, 367, 1038, 26099, 4939, 432, 33014, 31279, 272, 16, 309, 5137, 1639, 1718, 1323, 478, 13776, 1880, 14781, 470, 41867, 8367, 18, 2839, 23570, 1038, 25262, 30143, 282, 27063, 8410, 18942, 27803, 416, 14016, 16, 374, 895, 1852, 34156, 541, 773, 589, 283, 1778, 16078, 864, 18, 31224, 30, 45433, 17154, 15320, 4830, 2145, 5035, 35109, 28565, 367, 19209, 2839, 2817, 685, 14449, 30143, 282, 34388, 45432, 4678, 289, 14412, 20232, 917, 292, 18, 2320, 5412, 19412, 294, 28950, 17912, 16886, 16, 3110, 44938, 18, 824, 3761, 478, 26627, 17, 818, 17, 440, 910, 492, 1038, 685, 24482, 1282, 7615, 363, 309, 4843, 22, 3763, 18, 2839, 2817, 510, 2197, 411, 23572, 10279, 282, 453, 5374, 304, 478, 13776, 1212, 47879, 470, 6246, 16795, 6948, 287, 27837, 41867, 8367, 18, 2320, 31439, 282, 1480, 366, 4543, 15248, 16891, 1251, 16078, 3258, 510, 1655, 38345, 282, 32712, 510, 289, 27218, 3251, 758, 17623, 18, 2839, 2817, 22014, 16, 374, 40309, 281, 9365, 1080, 360, 3946, 34031, 334, 5083, 6997, 36745, 298, 807, 282, 3507, 18, 817, 1038, 2815, 16, 374, 3785, 34031, 935, 15837, 26521, 279, 645, 890, 948, 37712, 21935, 28505, 29813, 18, 5181, 16, 3235, 505, 1280, 16, 1888, 20481, 1967, 43089, 1003, 18, 2046, 5747, 492, 14403, 16, 374, 4263, 31279, 272, 2145, 4939, 448, 17187, 309, 1177, 2948, 18, 999, 481, 17201, 492, 1038, 685, 49441, 18, 31818, 17376, 2228, 326, 43209, 9798, 23394, 478, 273, 4679, 1986, 4287, 16886, 349, 4939, 448, 17187, 31279, 272, 861, 365, 3998, 3972, 28565, 282, 3177, 43287, 6463, 16, 374, 505, 8851, 15320, 23191, 11335, 17288, 434, 12783, 16, 3387, 492, 720, 5342, 16, 753, 9422, 16409, 1489, 15857, 18, 824, 505, 3163, 16, 2839, 2817, 20092, 1893, 3182, 16, 753, 9422, 8236, 416, 541, 965, 15154, 477, 23285, 16, 1586, 289, 453, 726, 20165, 5009, 10574, 3017, 18, 478, 21357, 7515, 2839, 2817, 14868, 1551, 322, 5412, 42063, 505, 294, 17288, 1147, 33260, 18, 1012, 5387, 2023, 16, 374, 492, 895, 22473, 475, 42145, 4465, 16, 961, 322, 4247, 3361, 294, 16078, 864, 16, 11419, 281, 45432, 5613, 16, 13506, 32826, 10776, 16, 11305, 289, 2222, 21178, 16, 289, 322, 360, 35131, 36425, 17288, 451, 3017, 42630, 510, 6463, 28565, 18, 3557, 322, 2619, 16, 10566, 2839, 599, 392, 510, 6439, 541, 34031, 18, 10334, 2496, 15116, 19690, 8895, 16, 1551, 1038, 13749, 16789, 2839, 23570, 282, 27063, 8410, 18942, 27803, 416, 14016, 18, 14654, 3419, 290, 6524, 2662, 2839, 23570, 4679, 3274, 26935, 13279, 4830, 510, 17980, 1326, 5321, 275, 4695, 37962, 353, 27400, 6408, 267, 289, 20120, 3313, 304, 40084, 9630, 18884, 70, 4241, 6001, 286, 4048, 554, 4041, 18, 3747, 583, 2839, 2817, 322, 18701, 697, 11875, 16, 11916, 1453, 282, 24617, 33841, 10286, 289, 12512, 38886, 281, 5517, 353, 1967, 12706, 18, 2263, 5809, 28029, 349, 15439, 1967, 4717, 895, 23503, 1472, 367, 1024, 1940, 536, 3892, 635, 16, 2686, 4836, 1336, 502, 16, 374, 22204 ]
[ 23751, 16, 374, 3674, 6524, 39437, 282, 2849, 16, 785, 28565, 726, 685, 38345, 282, 32712, 2145, 18, 6592, 2689, 2818, 31498, 16, 9874, 19134, 16, 32515, 281, 5173, 478, 3899, 326, 990, 309, 11031, 910, 2125, 953, 31285, 282, 14412, 26141, 292, 18, 365, 502, 575, 808, 11675, 548, 34031, 1698, 17454, 13076, 16, 374, 697, 14463, 322, 24935, 334, 6349, 825, 17142, 2987, 289, 19134, 322, 4247, 5522, 3361, 294, 505, 4770, 680, 14016, 18, 2046, 2839, 2817, 39205, 309, 2107, 7475, 18, 365, 4542, 24807, 13516, 16, 2202, 1063, 1423, 16789, 282, 803, 3892, 582, 16, 492, 2815, 3671, 263, 16, 374, 1717, 28565, 478, 560, 392, 5932, 505, 8538, 334, 3427, 28421, 910, 374, 505, 7654, 1685, 2756, 2280, 16232, 29680, 4453, 29941, 18, 9639, 575, 7475, 11531, 3236, 289, 505, 11675, 548, 18, 478, 3001, 424, 15709, 9511, 4263, 17187, 290, 970, 16, 374, 36176, 28565, 4263, 975, 30469, 15521, 17201, 16, 5383, 659, 4679, 19772, 281, 5173, 25371, 309, 11031, 18, 1178, 870, 39594, 898, 3280, 3021, 477, 1963, 39172, 2839, 23570, 16, 502, 2006, 745, 322, 1747, 3280, 3021, 477, 1963, 5035, 35109, 34031, 42630, 510, 5301, 282, 43287, 15320, 2839, 23570, 39747, 307, 7120, 1723, 18, 1178, 1542, 12529, 6059, 19566, 21283, 16, 16078, 864, 895, 5564, 649, 773, 589, 283, 2272, 18, 478, 22681, 28565, 685, 282, 5214, 19264, 32494, 3248, 1437, 510, 4335, 19264, 32494, 3248, 1437, 1279, 13279, 5478, 910, 510, 1109, 3203, 24807, 7920, 16040, 7620, 2145, 1467, 320, 269, 18422, 10105, 3327, 18, 824, 3163, 10105, 8367, 16, 282, 26999, 294, 6619, 2839, 23570, 9211, 11916, 1007, 8150, 16, 961, 1698, 41638, 30046, 541, 773, 589, 283, 1778, 18, 817, 1038, 18519, 31279, 10526, 282, 1335, 4096, 289, 12369, 13273, 8465, 34031, 282, 4760, 41939, 18, 832, 20846, 16, 374, 7340, 548, 16, 961, 4247, 5906, 282, 15727, 34766, 1698, 3836, 6730, 18, 2046, 3147, 2628, 16, 28565, 322, 13056, 484, 773, 589, 283, 1778, 764, 334, 2059, 8386, 510, 16062, 873, 7346, 4364, 5155, 48305, 31657, 510, 21540, 766, 16, 510, 1029, 7006, 520, 3068, 341, 14267, 1279, 4830, 510, 15465, 697, 6905, 4623, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 7353, 25787, 986, 282, 12221, 43200, 31759, 421, 762, 510, 21412, 17, 375, 49458, 20746, 16, 49302, 1712, 282, 22912, 28489, 478, 16875, 11934, 470, 289, 567, 10246, 3429, 1712, 722, 26129, 18, 25310, 3422, 1055, 322, 3696, 2773, 18, 31224, 30, 6161, 329, 25292, 12468, 267, 17, 375, 49458, 300, 368, 757, 953, 1595, 38313, 670, 21015, 5461, 16, 773, 21640, 14589, 24786, 2756, 373, 31759, 421, 762, 18, 608, 1710, 322, 639, 26220, 3427, 294, 13297, 16, 1423, 6213, 31759, 26967, 1833, 1011, 5503, 274, 30, 7572, 2016, 10872, 38005, 13734, 680, 47881, 906, 33004, 282, 8487, 864, 19064, 7194, 478, 7530, 1383, 2850, 409, 288, 470, 282, 667, 986, 16, 3429, 3453, 5834, 12468, 24357, 282, 3182, 8487, 1923, 18, 2046, 971, 678, 8304, 17707, 1307, 572, 16, 1029, 1320, 322, 30418, 1190, 2504, 282, 3182, 978, 10137, 16, 510, 10956, 411, 8487, 1923, 16, 5892, 19617, 309, 34376, 485, 34171, 2025, 18, 8859, 10956, 16, 428, 7299, 373, 1314, 16, 282, 10387, 510, 7284, 506, 282, 48171, 292, 289, 1421, 271, 426, 2244, 31, 14088, 36581, 411, 722, 1655, 27156, 9206, 942, 7818, 478, 9865, 3979, 272, 41193, 470, 20849, 779, 16, 988, 678, 2417, 3391, 2530, 1277, 668, 4119, 282, 21555, 281, 20618, 744, 727, 306, 1208, 304, 16, 289, 18447, 1510, 282, 970, 575, 1045, 478, 3096, 4070, 1068, 20992, 470, 281, 1258, 8676, 17452, 8994, 18, 365, 19817, 1045, 678, 2584, 847, 281, 20618, 5573, 339, 289, 10047, 19809, 4119, 282, 505, 22164, 4357, 478, 10393, 399, 464, 309, 358, 669, 399, 370, 861, 439, 2512, 289, 282, 20486, 478, 10150, 3951, 7478, 910, 594, 2339, 29511, 2206, 567, 1209, 9084, 292, 978, 1694, 18, 20618, 9591, 12674, 282, 25485, 4457, 6426, 48398, 5014, 10516, 768, 45, 1916, 3931, 510, 481, 685, 322, 2615, 10659, 16, 515, 939, 1820, 451, 18, 439, 7549, 1453, 15447, 411, 8621, 2458, 541, 13279, 5129, 34156, 541, 44273, 14296, 47643, 5006, 510, 20256, 4095, 42552, 2145, 43693, 5230, 14296, 282, 4599, 978, 8621, 16, 289, 282, 17618, 19842, 483, 6793, 685, 4092, 2365, 294, 1857, 272, 18, 42172, 678, 7284, 484, 764, 282, 3709, 10659, 263, 510, 478, 630, 2226, 432, 2196, 1751, 510, 11847, 470, 472, 875, 42397, 16, 764, 3709, 473, 4743, 32457, 25802, 411, 11074, 13, 10659, 263, 30, 6867, 36712, 282, 9578, 15340, 2537, 16596, 14278, 1034, 1996, 435, 744, 36130, 435, 18, 9418, 281, 1420, 282, 25097, 5371, 751, 1258, 665, 269, 18500, 289, 13997, 17, 20327, 265, 30205, 1520, 11015, 18, 459, 12992, 764, 2197, 2537, 33901, 12030, 510, 478, 24342, 16602, 910, 722, 2615, 3952, 11993, 281, 22917, 457, 2243, 1832, 262, 18, 2112, 2069, 8412, 16875, 5703, 282, 1335, 25097, 492, 4040, 29622, 7359, 21602, 282, 722, 31493, 510, 678, 31834, 3441, 411, 7878, 36422, 282, 505, 478, 2997, 306, 426, 289, 16608, 263, 470, 19277, 779, 16, 367, 2512, 510, 282, 478, 682, 18713, 419, 906, 282, 20717, 861, 24491, 17, 2817, 19469, 13831, 478, 16875, 11934, 910, 478, 2997, 21926, 289, 16608, 910, 942, 2023, 16, 37346, 6711, 7957, 309, 9805, 34393, 21985, 4397, 18, 365, 3998, 3931, 1272, 2803, 9349, 5985, 282, 44019, 668, 16, 5069, 668, 282, 1634, 33178, 594, 7529, 510, 367, 2512, 7108, 4765, 467, 9016, 16, 1586, 519, 4996, 281, 1334, 427, 17432, 309, 481, 24885, 411, 1063, 564, 18, 46430, 4151, 7179, 4889, 322, 1381, 18300, 16, 374, 11618, 1335, 9756, 590, 7096, 29328, 281, 5016, 1219, 5499, 478, 47963, 1018, 5032, 470, 23932, 21106, 401, 18, 10482, 16, 374, 1423, 11132, 457, 2243, 1832, 262, 11368, 334, 2950, 13937, 1147, 3798, 5123, 39117, 17, 672, 7286, 5675, 466, 16, 1029, 20295, 7280, 6089, 282, 4036, 382, 9649, 5395, 12277, 18, 12280, 37740, 290, 764, 2059, 25097, 16, 18447, 1027, 12260, 3255, 8621, 457, 2243, 1832, 262, 18, 365, 11847, 17, 277, 1045, 678, 7284, 484, 282, 478, 23134, 265, 17032, 16, 10096, 515, 12429, 470, 23818, 13388, 434, 289, 6632, 8845, 991, 7336, 33001, 20772, 343, 16, 282, 5703, 26080, 16, 1586, 9595, 309, 1756, 8150, 289, 9349, 3108, 282, 3022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23751, 16, 374, 3674, 6524, 39437, 282, 2849, 16, 785, 28565, 726, 685, 38345, 282, 32712, 2145, 18, 6592, 2689, 2818, 31498, 16, 9874, 19134, 16, 32515, 281, 5173, 478, 3899, 326, 990, 309, 11031, 910, 2125, 953, 31285, 282, 14412, 26141, 292, 18, 365, 502, 575, 808, 11675, 548, 34031, 1698, 17454, 13076, 16, 374, 697, 14463, 322, 24935, 334, 6349, 825, 17142, 2987, 289, 19134, 322, 4247, 5522, 3361, 294, 505, 4770, 680, 14016, 18, 2046, 2839, 2817, 39205, 309, 2107, 7475, 18, 365, 4542, 24807, 13516, 16, 2202, 1063, 1423, 16789, 282, 803, 3892, 582, 16, 492, 2815, 3671, 263, 16, 374, 1717, 28565, 478, 560, 392, 5932, 505, 8538, 334, 3427, 28421, 910, 374, 505, 7654, 1685, 2756, 2280, 16232, 29680, 4453, 29941, 18, 9639, 575, 7475, 11531, 3236, 289, 505, 11675, 548, 18, 478, 3001, 424, 15709, 9511, 4263, 17187, 290, 970, 16, 374, 36176, 28565, 4263, 975, 30469, 15521, 17201, 16, 5383, 659, 4679, 19772, 281, 5173, 25371, 309, 11031, 18, 1178, 870, 39594, 898, 3280, 3021, 477, 1963, 39172, 2839, 23570, 16, 502, 2006, 745, 322, 1747, 3280, 3021, 477, 1963, 5035, 35109, 34031, 42630, 510, 5301, 282, 43287, 15320, 2839, 23570, 39747, 307, 7120, 1723, 18, 1178, 1542, 12529, 6059, 19566, 21283, 16, 16078, 864, 895, 5564, 649, 773, 589, 283, 2272, 18, 478, 22681, 28565, 685, 282, 5214, 19264, 32494, 3248, 1437, 510, 4335, 19264, 32494, 3248, 1437, 1279, 13279, 5478, 910, 510, 1109, 3203, 24807, 7920, 16040, 7620, 2145, 1467, 320, 269, 18422, 10105, 3327, 18, 824, 3163, 10105, 8367, 16, 282, 26999, 294, 6619, 2839, 23570, 9211, 11916, 1007, 8150, 16, 961, 1698, 41638, 30046, 541, 773, 589, 283, 1778, 18, 817, 1038, 18519, 31279, 10526, 282, 1335, 4096, 289, 12369, 13273, 8465, 34031, 282, 4760, 41939, 18, 832, 20846, 16, 374, 7340, 548, 16, 961, 4247, 5906, 282, 15727, 34766, 1698, 3836, 6730, 18, 2046, 3147, 2628, 16, 28565, 322, 13056, 484, 773, 589, 283, 1778, 764, 334, 2059, 8386, 510, 16062, 873, 7346, 4364, 5155, 48305, 31657, 510, 21540, 766, 16, 510, 1029, 7006, 520, 3068, 341, 14267, 1279, 4830, 510, 15465, 697, 6905, 4623, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 7353, 25787, 986, 282, 12221, 43200, 31759, 421, 762, 510, 21412, 17, 375, 49458, 20746, 16, 49302, 1712, 282, 22912, 28489, 478, 16875, 11934, 470, 289, 567, 10246, 3429, 1712, 722, 26129, 18, 25310, 3422, 1055, 322, 3696, 2773, 18, 31224, 30, 6161, 329, 25292, 12468, 267, 17, 375, 49458, 300, 368, 757, 953, 1595, 38313, 670, 21015, 5461, 16, 773, 21640, 14589, 24786, 2756, 373, 31759, 421, 762, 18, 608, 1710, 322, 639, 26220, 3427, 294, 13297, 16, 1423, 6213, 31759, 26967, 1833, 1011, 5503, 274, 30, 7572, 2016, 10872, 38005, 13734, 680, 47881, 906, 33004, 282, 8487, 864, 19064, 7194, 478, 7530, 1383, 2850, 409, 288, 470, 282, 667, 986, 16, 3429, 3453, 5834, 12468, 24357, 282, 3182, 8487, 1923, 18, 2046, 971, 678, 8304, 17707, 1307, 572, 16, 1029, 1320, 322, 30418, 1190, 2504, 282, 3182, 978, 10137, 16, 510, 10956, 411, 8487, 1923, 16, 5892, 19617, 309, 34376, 485, 34171, 2025, 18, 8859, 10956, 16, 428, 7299, 373, 1314, 16, 282, 10387, 510, 7284, 506, 282, 48171, 292, 289, 1421, 271, 426, 2244, 31, 14088, 36581, 411, 722, 1655, 27156, 9206, 942, 7818, 478, 9865, 3979, 272, 41193, 470, 20849, 779, 16, 988, 678, 2417, 3391, 2530, 1277, 668, 4119, 282, 21555, 281, 20618, 744, 727, 306, 1208, 304, 16, 289, 18447, 1510, 282, 970, 575, 1045, 478, 3096, 4070, 1068, 20992, 470, 281, 1258, 8676, 17452, 8994, 18, 365, 19817, 1045, 678, 2584, 847, 281, 20618, 5573, 339, 289, 10047, 19809, 4119, 282, 505, 22164, 4357, 478, 10393, 399, 464, 309, 358, 669, 399, 370, 861, 439, 2512, 289, 282, 20486, 478, 10150, 3951, 7478, 910, 594, 2339, 29511, 2206, 567, 1209, 9084, 292, 978, 1694, 18, 20618, 9591, 12674, 282, 25485, 4457, 6426, 48398, 5014, 10516, 768, 45, 1916, 3931, 510, 481, 685, 322, 2615, 10659, 16, 515, 939, 1820, 451, 18, 439, 7549, 1453, 15447, 411, 8621, 2458, 541, 13279, 5129, 34156, 541, 44273, 14296, 47643, 5006, 510, 20256, 4095, 42552, 2145, 43693, 5230, 14296, 282, 4599, 978, 8621, 16, 289, 282, 17618, 19842, 483, 6793, 685, 4092, 2365, 294, 1857, 272, 18, 42172, 678, 7284, 484, 764, 282, 3709, 10659, 263, 510, 478, 630, 2226, 432, 2196, 1751, 510, 11847, 470, 472, 875, 42397, 16, 764, 3709, 473, 4743, 32457, 25802, 411, 11074, 13, 10659, 263, 30, 6867, 36712, 282, 9578, 15340, 2537, 16596, 14278, 1034, 1996, 435, 744, 36130, 435, 18, 9418, 281, 1420, 282, 25097, 5371, 751, 1258, 665, 269, 18500, 289, 13997, 17, 20327, 265, 30205, 1520, 11015, 18, 459, 12992, 764, 2197, 2537, 33901, 12030, 510, 478, 24342, 16602, 910, 722, 2615, 3952, 11993, 281, 22917, 457, 2243, 1832, 262, 18, 2112, 2069, 8412, 16875, 5703, 282, 1335, 25097, 492, 4040, 29622, 7359, 21602, 282, 722, 31493, 510, 678, 31834, 3441, 411, 7878, 36422, 282, 505, 478, 2997, 306, 426, 289, 16608, 263, 470, 19277, 779, 16, 367, 2512, 510, 282, 478, 682, 18713, 419, 906, 282, 20717, 861, 24491, 17, 2817, 19469, 13831, 478, 16875, 11934, 910, 478, 2997, 21926, 289, 16608, 910, 942, 2023, 16, 37346, 6711, 7957, 309, 9805, 34393, 21985, 4397, 18, 365, 3998, 3931, 1272, 2803, 9349, 5985, 282, 44019, 668, 16, 5069, 668, 282, 1634, 33178, 594, 7529, 510, 367, 2512, 7108, 4765, 467, 9016, 16, 1586, 519, 4996, 281, 1334, 427, 17432, 309, 481, 24885, 411, 1063, 564, 18, 46430, 4151, 7179, 4889, 322, 1381, 18300, 16, 374, 11618, 1335, 9756, 590, 7096, 29328, 281, 5016, 1219, 5499, 478, 47963, 1018, 5032, 470, 23932, 21106, 401, 18, 10482, 16, 374, 1423, 11132, 457, 2243, 1832, 262, 11368, 334, 2950, 13937, 1147, 3798, 5123, 39117, 17, 672, 7286, 5675, 466, 16, 1029, 20295, 7280, 6089, 282, 4036, 382, 9649, 5395, 12277, 18, 12280, 37740, 290, 764, 2059, 25097, 16, 18447, 1027, 12260, 3255, 8621, 457, 2243, 1832, 262, 18, 365, 11847, 17, 277, 1045, 678, 7284, 484, 282, 478, 23134, 265, 17032, 16, 10096, 515, 12429, 470, 23818, 13388, 434, 289, 6632, 8845, 991, 7336, 33001, 20772, 343, 16, 282, 5703, 26080, 16, 1586, 9595, 309, 1756, 8150, 289, 9349, 3108, 282, 3022 ]
[ 434, 40178, 510, 505, 9988, 13997, 17, 48680, 14873, 2810, 660, 18, 5890, 1210, 16721, 18210, 282, 803, 1045, 11757, 3108, 5142, 7784, 9592, 23380, 40935, 13786, 510, 678, 10047, 16607, 19621, 40076, 18, 3529, 575, 8486, 722, 15562, 281, 13640, 40930, 27798, 28572, 2603, 510, 492, 27221, 722, 282, 12884, 478, 682, 3460, 470, 289, 32618, 304, 41021, 306, 26658, 16, 1029, 28947, 722, 282, 478, 822, 2325, 742, 760, 16648, 861, 18346, 289, 41014, 16, 2588, 7601, 455, 1190, 421, 762, 16, 20800, 1450, 13943, 5703, 18, 459, 678, 481, 14772, 16, 3073, 16, 21640, 10651, 24729, 555, 309, 1962, 278, 24380, 27756, 18, 1253, 9033, 977, 282, 50116, 843, 8124, 478, 677, 433, 440, 14414, 470, 329, 4671, 1282, 324, 10577, 263, 1624, 282, 478, 684, 423, 426, 470, 8860, 7671, 2970, 7671, 727, 4069, 5745, 8604, 16, 282, 478, 10430, 927, 470, 329, 2220, 343, 29047, 853, 1624, 282, 478, 5798, 27917, 6398, 5839, 470, 365, 4782, 7384, 868, 507, 18, 365, 11097, 1045, 4223, 4722, 6793, 13640, 40930, 27798, 28572, 2603, 478, 3693, 1137, 1082, 910, 21113, 2024, 4308, 6463, 1974, 281, 21472, 315, 6470, 3651, 287, 289, 365, 46142, 7384, 868, 3032, 16, 282, 2114, 678, 22474, 1974, 281, 459, 987, 28905, 348, 1624, 36317, 307, 1870, 1204, 1624, 403, 1042, 932, 5674, 10573, 289, 18726, 2101, 3008, 18, 1253, 322, 1065, 11225, 478, 35713, 16663, 470, 21985, 24598, 282, 4356, 5184, 718, 510, 515, 16, 371, 12804, 3789, 45210, 42236, 289, 9440, 2477, 16, 3348, 2200, 12070, 424, 8701, 3591, 478, 293, 36918, 451, 470, 4871, 309, 5040, 3230, 16, 367, 3591, 26370, 890, 948, 451, 4871, 281, 722, 12070, 18742, 1552, 709, 1820, 536, 18, 985, 16, 3057, 16, 478, 36040, 10056, 7527, 21131, 470, 31138, 7179, 4889, 28678, 362, 837, 3883, 285, 2707, 20334, 4304, 401, 510, 41233, 289, 35971, 11132, 16, 282, 1754, 28844, 421, 762, 2458, 10544, 40587, 2759, 2553, 7753, 14543, 1970, 1624, 12198, 22875, 364, 5014, 755, 1709, 1624, 12836, 21934, 818, 283, 1624, 10261, 18563, 355, 1624, 3720, 727, 508, 326, 1356, 1624, 16974, 5749, 2446, 3583, 473, 853, 33177, 6406, 421, 762, 814, 378, 30557, 9756, 12935, 309, 9592, 268, 1212, 32844, 16, 2686, 411, 17, 431, 11220, 27470, 281, 28794, 304, 6793, 322, 4223, 309, 38500, 18, 981, 289, 13761, 639, 16, 282, 4784, 16, 18015, 510, 33054, 10177, 47855, 1020, 3997, 282, 1175, 294, 2222, 1612, 1715, 16077, 701, 18, 6422, 16, 31759, 421, 762, 567, 10246, 2756, 26129, 9592, 23380, 17914, 510, 3235, 21773, 349, 4119, 282, 12884, 20772, 343, 16, 678, 7356, 764, 3441, 478, 49932, 516, 2635, 3536, 516, 27266, 278, 470, 510, 309, 1177, 445, 349, 8219, 282, 4889, 46570, 662, 282, 8311, 1045, 18, 439, 282, 16951, 17, 277, 289, 11097, 17, 277, 421, 762, 906, 18813, 25539, 10801, 18, 2, 1, 87, 1456, 81, 2448, 30, 31542, 1452, 1943, 16319, 309, 23478, 1143, 16, 828, 32514, 2906, 430, 16, 25, 9, 17850, 16, 2815, 19713, 2145, 282, 5306, 17748, 41895, 18385, 18, 3397, 478, 404, 3859, 3214, 470, 10695, 2666, 4781, 9808, 16, 25482, 13205, 36971, 18, 824, 505, 3163, 16, 478, 11825, 2353, 309, 15592, 861, 31224, 30, 44495, 2879, 16319, 309, 23478, 1143, 16, 289, 11841, 883, 11771, 18, 36266, 10780, 4611, 282, 7337, 14415, 1234, 22795, 6868, 715, 461, 2360, 1366, 16328, 19713, 2145, 282, 27568, 17748, 41895, 18385, 16, 5923, 727, 4742, 18, 478, 618, 26420, 1139, 12016, 4453, 46172, 5508, 3033, 5306, 18, 13191, 735, 883, 477, 1963, 35621, 18787, 23740, 448, 11608, 519, 430, 16, 25, 9, 17850, 2553, 11771, 18, 8589, 11960, 21600, 9808, 510, 18787, 294, 1939, 5493, 1045, 12681, 7143, 519, 491, 9, 17850, 910, 510, 2815, 36971, 18, 41895, 18385, 4725, 16, 374, 22154, 478, 10004, 29372, 12016, 4671, 326, 392, 910, 374, 1314, 30092, 3214, 478, 397, 5720, 2666, 4781, 9808, 861, 817, 5692, 16, 374, 3771, 478, 8082, 309, 15592, 910, 289, 2391, 478, 343, 900, 825, 2993, 953, 5416, 16, 374, 9808, 1314, 1513, 4783, 874, 861, 967, 803, 19713, 41895, 18385, 13829, 282, 5306, 428, 36971, 16, 7556, 3579, 7216, 32474, 282, 3907, 3450, 13354, 18, 27695, 31988, 15097, 1279, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 470, 411, 2407, 282, 27568, 289, 8754, 300, 15333, 12435, 1279, 6271, 16, 5188, 413, 1587, 281, 9609, 18, 365, 13186, 11826, 779, 13205, 5792, 6442, 16, 374, 4770, 2145, 36176, 28565, 34347, 364, 5508, 4151, 27653, 411, 9808, 18, 43884, 5222, 28096, 300, 12360, 334, 4781, 272, 349, 3511, 2844, 24552, 6684, 15611, 16, 2394, 2728, 13342, 505, 519, 491, 9, 17850, 16, 5923, 391, 26448, 18, 15871, 5304, 294, 1939, 5493, 1045, 25645, 1472, 430, 16, 25, 9, 360, 1728, 17850, 18, 1591, 17, 7329, 16, 1177, 15497, 329, 27568, 3230, 16, 828, 329, 3725, 7032, 9808, 18, 2949, 924, 16, 21329, 46001, 18048, 7307, 309, 14151, 668, 3961, 31354, 536, 27506, 2422, 16, 21312, 6946, 2733, 2175, 10064, 6153, 1519, 282, 23740, 451, 7143, 15970, 766, 1822, 6507, 41724, 16, 11680, 12267, 1133, 2891, 18, 20670, 2145, 411, 9808, 31834, 309, 2507, 1175, 16, 11466, 1867, 16775, 19516, 18, 1178, 22154, 21159, 411, 9808, 16, 502, 23970, 267, 16, 9600, 16, 840, 44971, 18, 3739, 282, 2615, 1119, 38836, 9808, 16, 2287, 4189, 16, 2438, 3665, 16, 374, 13205, 5222, 7220, 360, 13269, 2044, 13342, 24552, 10059, 3320, 18, 13699, 1162, 9063, 47322, 17071, 8977, 477, 7755, 309, 9985, 6180, 289, 28174, 13156, 282, 9808, 16, 374, 28565, 8754, 300, 21365, 2381, 27653, 2145, 411, 41724, 18, 824, 3352, 10195, 16, 28565, 282, 11946, 309, 9155, 281, 41006, 2044, 17, 25325, 291, 9322, 12609, 16, 367, 1038, 4830, 353, 2665, 289, 15985, 19755, 290, 478, 1079, 313, 1580, 46090, 470, 282, 1750, 16, 827, 35136, 334, 9808, 428, 942, 3848, 322, 2961, 3231, 9637, 11608, 18, 37831, 17310, 28120, 1038, 322, 5285, 4030, 16, 374, 282, 22792, 16775, 2891, 1698, 21398, 6049, 4139, 3455, 282, 9808, 670, 16, 282, 33723, 1750, 16, 935, 42252, 28174, 3361, 281, 4781, 304, 18, 2046, 13840, 14914, 6208, 360, 13198, 1963, 1055, 322, 29876, 18, 21552, 7796, 1552, 5306, 14397, 405, 1789, 562, 282, 1423, 3678, 2815, 16, 374, 322, 5273, 20630, 536, 13342, 11608, 309, 23478, 519, 1032, 9, 17506, 17850, 18, 8001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 434, 40178, 510, 505, 9988, 13997, 17, 48680, 14873, 2810, 660, 18, 5890, 1210, 16721, 18210, 282, 803, 1045, 11757, 3108, 5142, 7784, 9592, 23380, 40935, 13786, 510, 678, 10047, 16607, 19621, 40076, 18, 3529, 575, 8486, 722, 15562, 281, 13640, 40930, 27798, 28572, 2603, 510, 492, 27221, 722, 282, 12884, 478, 682, 3460, 470, 289, 32618, 304, 41021, 306, 26658, 16, 1029, 28947, 722, 282, 478, 822, 2325, 742, 760, 16648, 861, 18346, 289, 41014, 16, 2588, 7601, 455, 1190, 421, 762, 16, 20800, 1450, 13943, 5703, 18, 459, 678, 481, 14772, 16, 3073, 16, 21640, 10651, 24729, 555, 309, 1962, 278, 24380, 27756, 18, 1253, 9033, 977, 282, 50116, 843, 8124, 478, 677, 433, 440, 14414, 470, 329, 4671, 1282, 324, 10577, 263, 1624, 282, 478, 684, 423, 426, 470, 8860, 7671, 2970, 7671, 727, 4069, 5745, 8604, 16, 282, 478, 10430, 927, 470, 329, 2220, 343, 29047, 853, 1624, 282, 478, 5798, 27917, 6398, 5839, 470, 365, 4782, 7384, 868, 507, 18, 365, 11097, 1045, 4223, 4722, 6793, 13640, 40930, 27798, 28572, 2603, 478, 3693, 1137, 1082, 910, 21113, 2024, 4308, 6463, 1974, 281, 21472, 315, 6470, 3651, 287, 289, 365, 46142, 7384, 868, 3032, 16, 282, 2114, 678, 22474, 1974, 281, 459, 987, 28905, 348, 1624, 36317, 307, 1870, 1204, 1624, 403, 1042, 932, 5674, 10573, 289, 18726, 2101, 3008, 18, 1253, 322, 1065, 11225, 478, 35713, 16663, 470, 21985, 24598, 282, 4356, 5184, 718, 510, 515, 16, 371, 12804, 3789, 45210, 42236, 289, 9440, 2477, 16, 3348, 2200, 12070, 424, 8701, 3591, 478, 293, 36918, 451, 470, 4871, 309, 5040, 3230, 16, 367, 3591, 26370, 890, 948, 451, 4871, 281, 722, 12070, 18742, 1552, 709, 1820, 536, 18, 985, 16, 3057, 16, 478, 36040, 10056, 7527, 21131, 470, 31138, 7179, 4889, 28678, 362, 837, 3883, 285, 2707, 20334, 4304, 401, 510, 41233, 289, 35971, 11132, 16, 282, 1754, 28844, 421, 762, 2458, 10544, 40587, 2759, 2553, 7753, 14543, 1970, 1624, 12198, 22875, 364, 5014, 755, 1709, 1624, 12836, 21934, 818, 283, 1624, 10261, 18563, 355, 1624, 3720, 727, 508, 326, 1356, 1624, 16974, 5749, 2446, 3583, 473, 853, 33177, 6406, 421, 762, 814, 378, 30557, 9756, 12935, 309, 9592, 268, 1212, 32844, 16, 2686, 411, 17, 431, 11220, 27470, 281, 28794, 304, 6793, 322, 4223, 309, 38500, 18, 981, 289, 13761, 639, 16, 282, 4784, 16, 18015, 510, 33054, 10177, 47855, 1020, 3997, 282, 1175, 294, 2222, 1612, 1715, 16077, 701, 18, 6422, 16, 31759, 421, 762, 567, 10246, 2756, 26129, 9592, 23380, 17914, 510, 3235, 21773, 349, 4119, 282, 12884, 20772, 343, 16, 678, 7356, 764, 3441, 478, 49932, 516, 2635, 3536, 516, 27266, 278, 470, 510, 309, 1177, 445, 349, 8219, 282, 4889, 46570, 662, 282, 8311, 1045, 18, 439, 282, 16951, 17, 277, 289, 11097, 17, 277, 421, 762, 906, 18813, 25539, 10801, 18, 2, 1, 87, 1456, 81, 2448, 30, 31542, 1452, 1943, 16319, 309, 23478, 1143, 16, 828, 32514, 2906, 430, 16, 25, 9, 17850, 16, 2815, 19713, 2145, 282, 5306, 17748, 41895, 18385, 18, 3397, 478, 404, 3859, 3214, 470, 10695, 2666, 4781, 9808, 16, 25482, 13205, 36971, 18, 824, 505, 3163, 16, 478, 11825, 2353, 309, 15592, 861, 31224, 30, 44495, 2879, 16319, 309, 23478, 1143, 16, 289, 11841, 883, 11771, 18, 36266, 10780, 4611, 282, 7337, 14415, 1234, 22795, 6868, 715, 461, 2360, 1366, 16328, 19713, 2145, 282, 27568, 17748, 41895, 18385, 16, 5923, 727, 4742, 18, 478, 618, 26420, 1139, 12016, 4453, 46172, 5508, 3033, 5306, 18, 13191, 735, 883, 477, 1963, 35621, 18787, 23740, 448, 11608, 519, 430, 16, 25, 9, 17850, 2553, 11771, 18, 8589, 11960, 21600, 9808, 510, 18787, 294, 1939, 5493, 1045, 12681, 7143, 519, 491, 9, 17850, 910, 510, 2815, 36971, 18, 41895, 18385, 4725, 16, 374, 22154, 478, 10004, 29372, 12016, 4671, 326, 392, 910, 374, 1314, 30092, 3214, 478, 397, 5720, 2666, 4781, 9808, 861, 817, 5692, 16, 374, 3771, 478, 8082, 309, 15592, 910, 289, 2391, 478, 343, 900, 825, 2993, 953, 5416, 16, 374, 9808, 1314, 1513, 4783, 874, 861, 967, 803, 19713, 41895, 18385, 13829, 282, 5306, 428, 36971, 16, 7556, 3579, 7216, 32474, 282, 3907, 3450, 13354, 18, 27695, 31988, 15097, 1279, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 470, 411, 2407, 282, 27568, 289, 8754, 300, 15333, 12435, 1279, 6271, 16, 5188, 413, 1587, 281, 9609, 18, 365, 13186, 11826, 779, 13205, 5792, 6442, 16, 374, 4770, 2145, 36176, 28565, 34347, 364, 5508, 4151, 27653, 411, 9808, 18, 43884, 5222, 28096, 300, 12360, 334, 4781, 272, 349, 3511, 2844, 24552, 6684, 15611, 16, 2394, 2728, 13342, 505, 519, 491, 9, 17850, 16, 5923, 391, 26448, 18, 15871, 5304, 294, 1939, 5493, 1045, 25645, 1472, 430, 16, 25, 9, 360, 1728, 17850, 18, 1591, 17, 7329, 16, 1177, 15497, 329, 27568, 3230, 16, 828, 329, 3725, 7032, 9808, 18, 2949, 924, 16, 21329, 46001, 18048, 7307, 309, 14151, 668, 3961, 31354, 536, 27506, 2422, 16, 21312, 6946, 2733, 2175, 10064, 6153, 1519, 282, 23740, 451, 7143, 15970, 766, 1822, 6507, 41724, 16, 11680, 12267, 1133, 2891, 18, 20670, 2145, 411, 9808, 31834, 309, 2507, 1175, 16, 11466, 1867, 16775, 19516, 18, 1178, 22154, 21159, 411, 9808, 16, 502, 23970, 267, 16, 9600, 16, 840, 44971, 18, 3739, 282, 2615, 1119, 38836, 9808, 16, 2287, 4189, 16, 2438, 3665, 16, 374, 13205, 5222, 7220, 360, 13269, 2044, 13342, 24552, 10059, 3320, 18, 13699, 1162, 9063, 47322, 17071, 8977, 477, 7755, 309, 9985, 6180, 289, 28174, 13156, 282, 9808, 16, 374, 28565, 8754, 300, 21365, 2381, 27653, 2145, 411, 41724, 18, 824, 3352, 10195, 16, 28565, 282, 11946, 309, 9155, 281, 41006, 2044, 17, 25325, 291, 9322, 12609, 16, 367, 1038, 4830, 353, 2665, 289, 15985, 19755, 290, 478, 1079, 313, 1580, 46090, 470, 282, 1750, 16, 827, 35136, 334, 9808, 428, 942, 3848, 322, 2961, 3231, 9637, 11608, 18, 37831, 17310, 28120, 1038, 322, 5285, 4030, 16, 374, 282, 22792, 16775, 2891, 1698, 21398, 6049, 4139, 3455, 282, 9808, 670, 16, 282, 33723, 1750, 16, 935, 42252, 28174, 3361, 281, 4781, 304, 18, 2046, 13840, 14914, 6208, 360, 13198, 1963, 1055, 322, 29876, 18, 21552, 7796, 1552, 5306, 14397, 405, 1789, 562, 282, 1423, 3678, 2815, 16, 374, 322, 5273, 20630, 536, 13342, 11608, 309, 23478, 519, 1032, 9, 17506, 17850, 18, 8001 ]
[ 11832, 778, 8099, 7225, 21983, 18377, 582, 17, 3383, 286, 5945, 2815, 1273, 41753, 18381, 1624, 374, 478, 40855, 546, 4653, 11531, 1812, 1728, 4075, 38836, 9808, 282, 2801, 1045, 289, 19912, 505, 910, 30634, 16, 374, 505, 8768, 10322, 4318, 8067, 1143, 3010, 382, 16, 42004, 9808, 16, 309, 6402, 18022, 13422, 18, 38433, 281, 2145, 491, 9, 360, 17850, 309, 9637, 11608, 22597, 530, 19278, 542, 16, 38835, 16, 31981, 16, 30275, 289, 21630, 542, 18, 19429, 20724, 294, 1335, 5866, 298, 282, 6104, 1045, 35691, 1038, 11986, 9395, 289, 8402, 342, 18, 365, 12838, 6700, 5038, 9808, 5875, 9192, 22687, 2274, 10057, 2815, 16, 374, 282, 11826, 1045, 27795, 4999, 18942, 20317, 2287, 2044, 17, 25325, 291, 41724, 18, 2046, 2710, 1717, 16, 492, 322, 15135, 18, 23102, 282, 3177, 43287, 28565, 2815, 16, 374, 3957, 18787, 11608, 309, 9808, 519, 1032, 9, 360, 17850, 18, 2949, 924, 16, 492, 2815, 16, 374, 282, 3142, 16102, 289, 7409, 17310, 21118, 7865, 478, 19052, 680, 4257, 470, 49856, 18, 824, 505, 3163, 16, 1655, 1236, 46105, 289, 35136, 5684, 8156, 477, 1963, 2145, 289, 687, 2391, 35293, 282, 48833, 18, 23480, 931, 9299, 16, 374, 2145, 1494, 1747, 12606, 16109, 16, 515, 541, 978, 2003, 16, 753, 10172, 7597, 289, 9808, 473, 404, 1494, 720, 6372, 1733, 13, 10063, 478, 436, 489, 7373, 1936, 48459, 470, 282, 7143, 41724, 18, 2, 1, 87, 1456, 81, 2448, 30, 23045, 1162, 20925, 1175, 282, 2456, 8111, 547, 8267, 16586, 718, 14452, 42100, 332, 17392, 306, 4426, 7632, 1147, 10452, 41547, 825, 19791, 45259, 349, 2852, 7264, 519, 9512, 5790, 16, 289, 23188, 1423, 2566, 668, 3892, 278, 18, 31224, 30, 1009, 379, 2515, 309, 502, 16, 428, 11623, 10933, 20113, 16355, 1262, 7000, 751, 282, 5606, 1949, 1613, 2244, 16586, 718, 14452, 477, 3319, 7739, 3317, 16, 5906, 3513, 482, 9058, 933, 568, 755, 289, 20072, 7987, 943, 33971, 697, 282, 8329, 411, 10235, 41541, 309, 19650, 18, 996, 13205, 41330, 37398, 378, 2243, 1682, 16, 32722, 489, 15170, 1963, 1401, 15828, 43594, 354, 16, 289, 4521, 2815, 16, 374, 678, 14830, 19577, 6228, 20962, 505, 19753, 569, 4151, 651, 537, 1269, 537, 2950, 34503, 34214, 3328, 49338, 2675, 23455, 18, 12622, 16, 687, 282, 970, 1750, 16, 827, 28024, 18908, 16641, 282, 13441, 16, 289, 7243, 1788, 7212, 18, 2333, 9116, 5676, 9955, 16, 2091, 41873, 16, 515, 40875, 4214, 322, 10225, 18, 3557, 1033, 374, 30639, 281, 27273, 2855, 16, 282, 5271, 1639, 12525, 42361, 7696, 16, 1943, 685, 1852, 334, 17, 11863, 4056, 11301, 416, 3337, 761, 541, 2759, 1401, 15828, 18, 967, 803, 282, 1750, 9764, 281, 445, 5793, 282, 2852, 289, 1033, 12994, 678, 8026, 22085, 5291, 13263, 22678, 281, 403, 16892, 17917, 295, 17733, 289, 11024, 18, 29124, 16, 7072, 906, 2410, 43233, 18, 3557, 322, 2619, 16, 4732, 7739, 1157, 411, 4170, 6994, 4702, 18, 14587, 1871, 281, 16401, 7130, 360, 636, 6737, 33622, 1412, 12317, 18, 967, 803, 34858, 32813, 289, 1241, 1152, 2141, 519, 18698, 322, 1146, 9973, 411, 478, 812, 1465, 910, 40519, 2581, 811, 47479, 16, 367, 1927, 22305, 14210, 873, 381, 285, 610, 414, 302, 545, 454, 3662, 281, 12899, 4546, 16638, 2846, 1289, 18, 478, 40954, 16, 3136, 8544, 516, 13514, 957, 24902, 414, 910, 651, 477, 2340, 271, 30961, 18, 5002, 296, 4654, 322, 7214, 289, 16, 387, 1388, 743, 309, 1771, 1484, 22447, 28984, 2822, 34858, 32813, 309, 4549, 490, 263, 4246, 5700, 3850, 16, 282, 6788, 364, 478, 266, 2243, 526, 742, 861, 43594, 266, 1472, 5569, 16, 5198, 3889, 2380, 14264, 1066, 349, 1293, 25466, 519, 978, 18, 5043, 16, 322, 5683, 289, 7130, 16, 428, 5222, 8018, 706, 651, 481, 1272, 20446, 19008, 4744, 820, 13678, 347, 289, 768, 521, 1923, 20317, 4380, 18, 12126, 1833, 575, 6096, 13660, 364, 2072, 289, 4995, 281, 10504, 1011, 2673, 578, 382, 309, 1771, 1484, 16, 867, 3818, 797, 45029, 349, 47953, 282, 13441, 309, 608, 3651, 354, 409, 371, 19948, 409, 32657, 12651, 16, 289, 1715, 1833, 575, 33513, 1756, 309, 12773, 781, 7780, 28499, 18, 1415, 4191, 42398, 685, 1261, 2274, 651, 21603, 47953, 289, 1718, 25536, 1248, 2101, 9055, 15591, 262, 13784, 3005, 7869, 294, 44078, 3378, 825, 18, 5181, 16, 5204, 6954, 3441, 10784, 16, 16722, 26054, 281, 2107, 651, 10938, 354, 282, 3331, 15459, 37555, 31060, 16, 282, 3198, 1660, 21165, 31554, 554, 309, 1064, 15738, 1413, 16295, 6552, 812, 22533, 18, 20012, 1500, 5809, 16, 374, 17363, 492, 1472, 7406, 16, 867, 3818, 18220, 3429, 10762, 2610, 497, 671, 354, 21755, 1658, 30, 22, 16, 29677, 35182, 19791, 45259, 289, 1192, 307, 726, 322, 9789, 18, 2046, 289, 867, 519, 3915, 11274, 343, 19338, 6730, 322, 3225, 651, 478, 24356, 1527, 470, 1927, 22305, 14210, 1275, 28953, 965, 309, 14511, 11053, 1033, 828, 24288, 16, 289, 935, 7814, 6022, 1081, 281, 5512, 47953, 1134, 4726, 3255, 12783, 5002, 296, 7558, 309, 12996, 6059, 322, 856, 18957, 18, 2046, 10225, 40090, 2992, 23523, 16, 428, 360, 697, 20835, 322, 5290, 289, 26719, 651, 478, 1567, 40508, 470, 360, 391, 1414, 281, 23795, 1963, 18698, 282, 20330, 464, 685, 12651, 1188, 3703, 29, 17, 46895, 26193, 478, 431, 267, 35258, 861, 2326, 4028, 28364, 2352, 11512, 354, 19449, 11338, 3946, 34858, 32813, 651, 11216, 281, 469, 10667, 282, 2972, 263, 16, 2808, 10556, 432, 16, 10452, 717, 10890, 16, 43958, 281, 15052, 16, 2072, 1421, 10556, 432, 16, 12807, 266, 16, 8533, 16, 15655, 2235, 411, 17, 1567, 41520, 655, 29124, 16, 8030, 639, 2023, 16, 1660, 39914, 322, 3404, 18, 4635, 492, 309, 4038, 281, 19791, 288, 1305, 289, 3872, 10660, 23941, 3015, 756, 5583, 478, 812, 2977, 470, 421, 22705, 2509, 281, 9262, 49275, 27273, 1275, 282, 1500, 2083, 16, 785, 745, 24661, 9078, 7108, 4079, 13818, 18, 37588, 481, 639, 322, 453, 7339, 16, 1696, 371, 9690, 9, 7446, 4744, 2449, 281, 4466, 289, 1533, 2498, 1751, 16419, 309, 1143, 828, 478, 17, 28, 470, 639, 25019, 18, 4635, 2391, 16, 4818, 16, 43594, 266, 34921, 31208, 15464, 1634, 21166, 2466, 309, 3084, 23511, 16, 367, 27691, 14596, 2780, 749, 1241, 13145, 18, 6682, 924, 16, 322, 1139, 2780, 16, 515, 289, 19765, 1715, 3118, 18, 459, 9956, 334, 2222, 16, 374, 1401, 12346, 8882, 1042 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11832, 778, 8099, 7225, 21983, 18377, 582, 17, 3383, 286, 5945, 2815, 1273, 41753, 18381, 1624, 374, 478, 40855, 546, 4653, 11531, 1812, 1728, 4075, 38836, 9808, 282, 2801, 1045, 289, 19912, 505, 910, 30634, 16, 374, 505, 8768, 10322, 4318, 8067, 1143, 3010, 382, 16, 42004, 9808, 16, 309, 6402, 18022, 13422, 18, 38433, 281, 2145, 491, 9, 360, 17850, 309, 9637, 11608, 22597, 530, 19278, 542, 16, 38835, 16, 31981, 16, 30275, 289, 21630, 542, 18, 19429, 20724, 294, 1335, 5866, 298, 282, 6104, 1045, 35691, 1038, 11986, 9395, 289, 8402, 342, 18, 365, 12838, 6700, 5038, 9808, 5875, 9192, 22687, 2274, 10057, 2815, 16, 374, 282, 11826, 1045, 27795, 4999, 18942, 20317, 2287, 2044, 17, 25325, 291, 41724, 18, 2046, 2710, 1717, 16, 492, 322, 15135, 18, 23102, 282, 3177, 43287, 28565, 2815, 16, 374, 3957, 18787, 11608, 309, 9808, 519, 1032, 9, 360, 17850, 18, 2949, 924, 16, 492, 2815, 16, 374, 282, 3142, 16102, 289, 7409, 17310, 21118, 7865, 478, 19052, 680, 4257, 470, 49856, 18, 824, 505, 3163, 16, 1655, 1236, 46105, 289, 35136, 5684, 8156, 477, 1963, 2145, 289, 687, 2391, 35293, 282, 48833, 18, 23480, 931, 9299, 16, 374, 2145, 1494, 1747, 12606, 16109, 16, 515, 541, 978, 2003, 16, 753, 10172, 7597, 289, 9808, 473, 404, 1494, 720, 6372, 1733, 13, 10063, 478, 436, 489, 7373, 1936, 48459, 470, 282, 7143, 41724, 18, 2, 1, 87, 1456, 81, 2448, 30, 23045, 1162, 20925, 1175, 282, 2456, 8111, 547, 8267, 16586, 718, 14452, 42100, 332, 17392, 306, 4426, 7632, 1147, 10452, 41547, 825, 19791, 45259, 349, 2852, 7264, 519, 9512, 5790, 16, 289, 23188, 1423, 2566, 668, 3892, 278, 18, 31224, 30, 1009, 379, 2515, 309, 502, 16, 428, 11623, 10933, 20113, 16355, 1262, 7000, 751, 282, 5606, 1949, 1613, 2244, 16586, 718, 14452, 477, 3319, 7739, 3317, 16, 5906, 3513, 482, 9058, 933, 568, 755, 289, 20072, 7987, 943, 33971, 697, 282, 8329, 411, 10235, 41541, 309, 19650, 18, 996, 13205, 41330, 37398, 378, 2243, 1682, 16, 32722, 489, 15170, 1963, 1401, 15828, 43594, 354, 16, 289, 4521, 2815, 16, 374, 678, 14830, 19577, 6228, 20962, 505, 19753, 569, 4151, 651, 537, 1269, 537, 2950, 34503, 34214, 3328, 49338, 2675, 23455, 18, 12622, 16, 687, 282, 970, 1750, 16, 827, 28024, 18908, 16641, 282, 13441, 16, 289, 7243, 1788, 7212, 18, 2333, 9116, 5676, 9955, 16, 2091, 41873, 16, 515, 40875, 4214, 322, 10225, 18, 3557, 1033, 374, 30639, 281, 27273, 2855, 16, 282, 5271, 1639, 12525, 42361, 7696, 16, 1943, 685, 1852, 334, 17, 11863, 4056, 11301, 416, 3337, 761, 541, 2759, 1401, 15828, 18, 967, 803, 282, 1750, 9764, 281, 445, 5793, 282, 2852, 289, 1033, 12994, 678, 8026, 22085, 5291, 13263, 22678, 281, 403, 16892, 17917, 295, 17733, 289, 11024, 18, 29124, 16, 7072, 906, 2410, 43233, 18, 3557, 322, 2619, 16, 4732, 7739, 1157, 411, 4170, 6994, 4702, 18, 14587, 1871, 281, 16401, 7130, 360, 636, 6737, 33622, 1412, 12317, 18, 967, 803, 34858, 32813, 289, 1241, 1152, 2141, 519, 18698, 322, 1146, 9973, 411, 478, 812, 1465, 910, 40519, 2581, 811, 47479, 16, 367, 1927, 22305, 14210, 873, 381, 285, 610, 414, 302, 545, 454, 3662, 281, 12899, 4546, 16638, 2846, 1289, 18, 478, 40954, 16, 3136, 8544, 516, 13514, 957, 24902, 414, 910, 651, 477, 2340, 271, 30961, 18, 5002, 296, 4654, 322, 7214, 289, 16, 387, 1388, 743, 309, 1771, 1484, 22447, 28984, 2822, 34858, 32813, 309, 4549, 490, 263, 4246, 5700, 3850, 16, 282, 6788, 364, 478, 266, 2243, 526, 742, 861, 43594, 266, 1472, 5569, 16, 5198, 3889, 2380, 14264, 1066, 349, 1293, 25466, 519, 978, 18, 5043, 16, 322, 5683, 289, 7130, 16, 428, 5222, 8018, 706, 651, 481, 1272, 20446, 19008, 4744, 820, 13678, 347, 289, 768, 521, 1923, 20317, 4380, 18, 12126, 1833, 575, 6096, 13660, 364, 2072, 289, 4995, 281, 10504, 1011, 2673, 578, 382, 309, 1771, 1484, 16, 867, 3818, 797, 45029, 349, 47953, 282, 13441, 309, 608, 3651, 354, 409, 371, 19948, 409, 32657, 12651, 16, 289, 1715, 1833, 575, 33513, 1756, 309, 12773, 781, 7780, 28499, 18, 1415, 4191, 42398, 685, 1261, 2274, 651, 21603, 47953, 289, 1718, 25536, 1248, 2101, 9055, 15591, 262, 13784, 3005, 7869, 294, 44078, 3378, 825, 18, 5181, 16, 5204, 6954, 3441, 10784, 16, 16722, 26054, 281, 2107, 651, 10938, 354, 282, 3331, 15459, 37555, 31060, 16, 282, 3198, 1660, 21165, 31554, 554, 309, 1064, 15738, 1413, 16295, 6552, 812, 22533, 18, 20012, 1500, 5809, 16, 374, 17363, 492, 1472, 7406, 16, 867, 3818, 18220, 3429, 10762, 2610, 497, 671, 354, 21755, 1658, 30, 22, 16, 29677, 35182, 19791, 45259, 289, 1192, 307, 726, 322, 9789, 18, 2046, 289, 867, 519, 3915, 11274, 343, 19338, 6730, 322, 3225, 651, 478, 24356, 1527, 470, 1927, 22305, 14210, 1275, 28953, 965, 309, 14511, 11053, 1033, 828, 24288, 16, 289, 935, 7814, 6022, 1081, 281, 5512, 47953, 1134, 4726, 3255, 12783, 5002, 296, 7558, 309, 12996, 6059, 322, 856, 18957, 18, 2046, 10225, 40090, 2992, 23523, 16, 428, 360, 697, 20835, 322, 5290, 289, 26719, 651, 478, 1567, 40508, 470, 360, 391, 1414, 281, 23795, 1963, 18698, 282, 20330, 464, 685, 12651, 1188, 3703, 29, 17, 46895, 26193, 478, 431, 267, 35258, 861, 2326, 4028, 28364, 2352, 11512, 354, 19449, 11338, 3946, 34858, 32813, 651, 11216, 281, 469, 10667, 282, 2972, 263, 16, 2808, 10556, 432, 16, 10452, 717, 10890, 16, 43958, 281, 15052, 16, 2072, 1421, 10556, 432, 16, 12807, 266, 16, 8533, 16, 15655, 2235, 411, 17, 1567, 41520, 655, 29124, 16, 8030, 639, 2023, 16, 1660, 39914, 322, 3404, 18, 4635, 492, 309, 4038, 281, 19791, 288, 1305, 289, 3872, 10660, 23941, 3015, 756, 5583, 478, 812, 2977, 470, 421, 22705, 2509, 281, 9262, 49275, 27273, 1275, 282, 1500, 2083, 16, 785, 745, 24661, 9078, 7108, 4079, 13818, 18, 37588, 481, 639, 322, 453, 7339, 16, 1696, 371, 9690, 9, 7446, 4744, 2449, 281, 4466, 289, 1533, 2498, 1751, 16419, 309, 1143, 828, 478, 17, 28, 470, 639, 25019, 18, 4635, 2391, 16, 4818, 16, 43594, 266, 34921, 31208, 15464, 1634, 21166, 2466, 309, 3084, 23511, 16, 367, 27691, 14596, 2780, 749, 1241, 13145, 18, 6682, 924, 16, 322, 1139, 2780, 16, 515, 289, 19765, 1715, 3118, 18, 459, 9956, 334, 2222, 16, 374, 1401, 12346, 8882, 1042 ]
[ 315, 334, 505, 8954, 31660, 282, 37555, 12232, 3860, 16, 4167, 5773, 835, 18, 17271, 588, 1924, 478, 7348, 493, 1711, 470, 5002, 296, 7558, 289, 365, 485, 287, 1860, 272, 936, 651, 1215, 16, 4213, 16, 289, 1653, 16, 374, 24065, 773, 8593, 282, 9547, 16, 1011, 924, 16, 428, 11950, 2756, 12733, 2545, 18, 967, 803, 4246, 5700, 842, 282, 447, 12317, 18042, 937, 290, 4368, 1771, 5888, 31617, 1798, 272, 16, 367, 768, 521, 513, 3872, 26183, 7649, 706, 281, 1714, 298, 626, 262, 16, 329, 6291, 1063, 924, 309, 478, 14079, 910, 703, 1579, 281, 478, 14375, 522, 3570, 470, 289, 371, 803, 28718, 8149, 541, 3871, 8293, 483, 34858, 32813, 18, 832, 41869, 42633, 19791, 13924, 289, 1763, 355, 281, 38374, 323, 6552, 812, 22533, 16, 2628, 16, 16816, 486, 309, 34908, 726, 322, 10491, 373, 16, 515, 428, 5121, 16, 329, 9268, 898, 2393, 9118, 309, 7256, 14299, 18, 640, 4038, 281, 11145, 362, 323, 1307, 552, 416, 678, 6554, 2048, 3453, 1820, 416, 32530, 5897, 5708, 23523, 13678, 347, 18, 6234, 7108, 2780, 7099, 322, 10544, 4075, 282, 3331, 15459, 37555, 16, 17832, 38829, 478, 3446, 301, 467, 276, 470, 1248, 40164, 609, 282, 2972, 263, 16, 4226, 924, 753, 11401, 874, 10376, 693, 9173, 749, 16703, 287, 30512, 2381, 424, 44553, 18, 1937, 294, 2856, 5589, 15077, 10068, 289, 31565, 2117, 282, 25152, 16, 2438, 1965, 322, 519, 22873, 16, 867, 1033, 374, 457, 4013, 12790, 289, 5002, 296, 3158, 651, 281, 3195, 42398, 16, 670, 360, 47923, 617, 651, 282, 1851, 17, 299, 2083, 6371, 5155, 2572, 294, 25152, 11854, 16, 16029, 1063, 1847, 1176, 282, 1176, 1011, 20236, 1970, 18901, 18, 1937, 2072, 289, 20256, 4732, 47765, 478, 267, 420, 10226, 470, 282, 2886, 432, 10390, 17537, 16, 26460, 19483, 14269, 651, 12662, 30, 6695, 18, 740, 31617, 1798, 519, 5019, 1486, 427, 281, 12773, 871, 5354, 4836, 651, 349, 19890, 1263, 344, 18, 40519, 411, 3217, 1531, 2380, 17170, 16, 4686, 26204, 11216, 477, 11924, 16, 367, 2512, 281, 8031, 761, 309, 42633, 608, 3651, 354, 507, 16, 367, 1038, 10808, 19561, 2906, 10556, 448, 16, 7243, 9935, 10452, 717, 10890, 1248, 768, 1154, 27907, 1011, 445, 4111, 18, 608, 27273, 1275, 8477, 309, 17285, 4016, 16, 22, 13053, 289, 608, 3651, 354, 267, 1653, 3404, 334, 4795, 3033, 651, 2638, 819, 275, 42594, 6335, 2301, 1612, 282, 474, 16, 492, 29497, 20236, 1305, 391, 1414, 16, 26554, 24202, 289, 17363, 1248, 1241, 13145, 18, 985, 7040, 281, 469, 10667, 18, 740, 20256, 13819, 4375, 18, 439, 1011, 4506, 432, 44368, 17, 264, 27551, 651, 8882, 1042, 315, 4427, 17, 299, 3508, 18894, 26119, 1320, 16, 867, 3818, 322, 12509, 1190, 39440, 309, 16936, 651, 19791, 13924, 3404, 502, 16, 294, 5414, 10933, 42215, 349, 5975, 808, 10469, 33849, 16, 3754, 282, 17979, 1192, 307, 18, 36424, 11216, 282, 9941, 1011, 31917, 411, 17, 431, 40250, 16, 492, 16, 322, 39413, 4093, 17747, 289, 7563, 18, 967, 803, 334, 10697, 32566, 8950, 3401, 4726, 29603, 505, 281, 4091, 18, 740, 309, 33123, 481, 16, 15290, 18284, 16, 322, 21519, 435, 651, 11216, 17741, 282, 14274, 289, 8950, 460, 2508, 478, 361, 400, 470, 935, 322, 7737, 18719, 13848, 13180, 17285, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 26383, 36970, 950, 44656, 764, 1176, 39592, 23610, 16, 309, 2114, 5554, 450, 18819, 387, 15793, 31097, 35859, 16, 367, 1209, 322, 5505, 400, 2339, 505, 24792, 8064, 1211, 34969, 1248, 693, 4995, 19171, 18, 640, 7664, 1941, 8623, 2355, 265, 42847, 2733, 2175, 26375, 4364, 13305, 18, 365, 8231, 6881, 16, 374, 9573, 1250, 25509, 282, 4301, 5738, 18, 31224, 30, 2176, 3614, 15948, 478, 440, 1608, 1121, 320, 368, 470, 6181, 764, 1176, 36335, 424, 7848, 478, 8407, 833, 450, 18819, 282, 47501, 910, 309, 2114, 21349, 637, 5554, 450, 18819, 16, 387, 6282, 1815, 281, 2302, 9188, 38374, 323, 31097, 35859, 18, 21203, 24792, 16, 961, 322, 10469, 22840, 5894, 281, 681, 4041, 761, 16, 8064, 1211, 2107, 19171, 450, 18819, 16, 31327, 521, 3137, 19140, 18, 49933, 3137, 21407, 1545, 36335, 6181, 282, 12462, 282, 3932, 516, 10882, 18, 44667, 17601, 3236, 2418, 3990, 978, 779, 309, 29176, 5407, 50062, 282, 48119, 35395, 11147, 18, 33261, 450, 18819, 387, 15793, 31097, 35859, 16, 26375, 6946, 13305, 30, 282, 6197, 442, 305, 283, 296, 4194, 11215, 282, 10637, 484, 33230, 742, 18, 365, 481, 575, 808, 2107, 19171, 14169, 8064, 1211, 1110, 16, 1085, 322, 25521, 13917, 29190, 5894, 18, 9753, 5703, 343, 12698, 16, 374, 2733, 2175, 2355, 265, 42847, 31327, 7282, 1272, 2299, 18, 23302, 8231, 36970, 950, 10258, 18071, 1335, 8623, 289, 282, 10666, 12002, 16, 374, 697, 14703, 411, 22200, 25509, 282, 4301, 5738, 18, 478, 4408, 5703, 454, 4750, 16, 374, 7352, 1857, 9218, 8668, 6589, 289, 1405, 1161, 7834, 16, 3229, 828, 38267, 16, 510, 2815, 478, 46088, 18, 8381, 470, 5037, 3781, 17, 14130, 8231, 36970, 950, 6729, 34734, 1970, 18, 510, 1540, 3452, 1250, 5314, 887, 16, 1055, 6469, 50032, 289, 396, 12788, 16, 289, 687, 1011, 978, 35454, 309, 28601, 289, 20240, 326, 505, 282, 2580, 11507, 20720, 42629, 861, 824, 3163, 34734, 22686, 16, 19171, 387, 26582, 309, 25724, 9158, 30, 8641, 334, 50021, 2095, 13558, 34580, 4322, 18, 478, 677, 11472, 7352, 16, 1586, 30519, 2712, 282, 5703, 582, 16, 45269, 9324, 334, 10009, 31905, 955, 499, 1214, 553, 910, 510, 34259, 282, 8231, 18, 1278, 28936, 539, 3868, 662, 1949, 8974, 450, 18819, 510, 1139, 37425, 16, 2271, 2853, 282, 6233, 18, 13305, 4983, 411, 17, 431, 924, 16, 374, 10383, 33230, 837, 322, 10681, 2077, 2655, 668, 36347, 16, 351, 11415, 712, 414, 282, 27246, 18, 44667, 16, 10750, 6728, 309, 7422, 39592, 823, 582, 16, 17601, 3236, 1912, 3990, 510, 349, 1272, 2299, 519, 924, 428, 639, 5371, 299, 7015, 5626, 18, 42378, 26186, 309, 2100, 4642, 19168, 755, 18, 44667, 17700, 475, 309, 970, 575, 29176, 5407, 50062, 16, 687, 282, 4335, 19453, 360, 26034, 2223, 18, 33261, 16, 411, 2024, 19423, 10276, 343, 16, 3811, 484, 282, 15301, 17188, 6566, 911, 397, 416, 5520, 18, 385, 25670, 2545, 12959, 5520, 10012, 13917, 6792, 5554, 42910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 334, 505, 8954, 31660, 282, 37555, 12232, 3860, 16, 4167, 5773, 835, 18, 17271, 588, 1924, 478, 7348, 493, 1711, 470, 5002, 296, 7558, 289, 365, 485, 287, 1860, 272, 936, 651, 1215, 16, 4213, 16, 289, 1653, 16, 374, 24065, 773, 8593, 282, 9547, 16, 1011, 924, 16, 428, 11950, 2756, 12733, 2545, 18, 967, 803, 4246, 5700, 842, 282, 447, 12317, 18042, 937, 290, 4368, 1771, 5888, 31617, 1798, 272, 16, 367, 768, 521, 513, 3872, 26183, 7649, 706, 281, 1714, 298, 626, 262, 16, 329, 6291, 1063, 924, 309, 478, 14079, 910, 703, 1579, 281, 478, 14375, 522, 3570, 470, 289, 371, 803, 28718, 8149, 541, 3871, 8293, 483, 34858, 32813, 18, 832, 41869, 42633, 19791, 13924, 289, 1763, 355, 281, 38374, 323, 6552, 812, 22533, 16, 2628, 16, 16816, 486, 309, 34908, 726, 322, 10491, 373, 16, 515, 428, 5121, 16, 329, 9268, 898, 2393, 9118, 309, 7256, 14299, 18, 640, 4038, 281, 11145, 362, 323, 1307, 552, 416, 678, 6554, 2048, 3453, 1820, 416, 32530, 5897, 5708, 23523, 13678, 347, 18, 6234, 7108, 2780, 7099, 322, 10544, 4075, 282, 3331, 15459, 37555, 16, 17832, 38829, 478, 3446, 301, 467, 276, 470, 1248, 40164, 609, 282, 2972, 263, 16, 4226, 924, 753, 11401, 874, 10376, 693, 9173, 749, 16703, 287, 30512, 2381, 424, 44553, 18, 1937, 294, 2856, 5589, 15077, 10068, 289, 31565, 2117, 282, 25152, 16, 2438, 1965, 322, 519, 22873, 16, 867, 1033, 374, 457, 4013, 12790, 289, 5002, 296, 3158, 651, 281, 3195, 42398, 16, 670, 360, 47923, 617, 651, 282, 1851, 17, 299, 2083, 6371, 5155, 2572, 294, 25152, 11854, 16, 16029, 1063, 1847, 1176, 282, 1176, 1011, 20236, 1970, 18901, 18, 1937, 2072, 289, 20256, 4732, 47765, 478, 267, 420, 10226, 470, 282, 2886, 432, 10390, 17537, 16, 26460, 19483, 14269, 651, 12662, 30, 6695, 18, 740, 31617, 1798, 519, 5019, 1486, 427, 281, 12773, 871, 5354, 4836, 651, 349, 19890, 1263, 344, 18, 40519, 411, 3217, 1531, 2380, 17170, 16, 4686, 26204, 11216, 477, 11924, 16, 367, 2512, 281, 8031, 761, 309, 42633, 608, 3651, 354, 507, 16, 367, 1038, 10808, 19561, 2906, 10556, 448, 16, 7243, 9935, 10452, 717, 10890, 1248, 768, 1154, 27907, 1011, 445, 4111, 18, 608, 27273, 1275, 8477, 309, 17285, 4016, 16, 22, 13053, 289, 608, 3651, 354, 267, 1653, 3404, 334, 4795, 3033, 651, 2638, 819, 275, 42594, 6335, 2301, 1612, 282, 474, 16, 492, 29497, 20236, 1305, 391, 1414, 16, 26554, 24202, 289, 17363, 1248, 1241, 13145, 18, 985, 7040, 281, 469, 10667, 18, 740, 20256, 13819, 4375, 18, 439, 1011, 4506, 432, 44368, 17, 264, 27551, 651, 8882, 1042, 315, 4427, 17, 299, 3508, 18894, 26119, 1320, 16, 867, 3818, 322, 12509, 1190, 39440, 309, 16936, 651, 19791, 13924, 3404, 502, 16, 294, 5414, 10933, 42215, 349, 5975, 808, 10469, 33849, 16, 3754, 282, 17979, 1192, 307, 18, 36424, 11216, 282, 9941, 1011, 31917, 411, 17, 431, 40250, 16, 492, 16, 322, 39413, 4093, 17747, 289, 7563, 18, 967, 803, 334, 10697, 32566, 8950, 3401, 4726, 29603, 505, 281, 4091, 18, 740, 309, 33123, 481, 16, 15290, 18284, 16, 322, 21519, 435, 651, 11216, 17741, 282, 14274, 289, 8950, 460, 2508, 478, 361, 400, 470, 935, 322, 7737, 18719, 13848, 13180, 17285, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 26383, 36970, 950, 44656, 764, 1176, 39592, 23610, 16, 309, 2114, 5554, 450, 18819, 387, 15793, 31097, 35859, 16, 367, 1209, 322, 5505, 400, 2339, 505, 24792, 8064, 1211, 34969, 1248, 693, 4995, 19171, 18, 640, 7664, 1941, 8623, 2355, 265, 42847, 2733, 2175, 26375, 4364, 13305, 18, 365, 8231, 6881, 16, 374, 9573, 1250, 25509, 282, 4301, 5738, 18, 31224, 30, 2176, 3614, 15948, 478, 440, 1608, 1121, 320, 368, 470, 6181, 764, 1176, 36335, 424, 7848, 478, 8407, 833, 450, 18819, 282, 47501, 910, 309, 2114, 21349, 637, 5554, 450, 18819, 16, 387, 6282, 1815, 281, 2302, 9188, 38374, 323, 31097, 35859, 18, 21203, 24792, 16, 961, 322, 10469, 22840, 5894, 281, 681, 4041, 761, 16, 8064, 1211, 2107, 19171, 450, 18819, 16, 31327, 521, 3137, 19140, 18, 49933, 3137, 21407, 1545, 36335, 6181, 282, 12462, 282, 3932, 516, 10882, 18, 44667, 17601, 3236, 2418, 3990, 978, 779, 309, 29176, 5407, 50062, 282, 48119, 35395, 11147, 18, 33261, 450, 18819, 387, 15793, 31097, 35859, 16, 26375, 6946, 13305, 30, 282, 6197, 442, 305, 283, 296, 4194, 11215, 282, 10637, 484, 33230, 742, 18, 365, 481, 575, 808, 2107, 19171, 14169, 8064, 1211, 1110, 16, 1085, 322, 25521, 13917, 29190, 5894, 18, 9753, 5703, 343, 12698, 16, 374, 2733, 2175, 2355, 265, 42847, 31327, 7282, 1272, 2299, 18, 23302, 8231, 36970, 950, 10258, 18071, 1335, 8623, 289, 282, 10666, 12002, 16, 374, 697, 14703, 411, 22200, 25509, 282, 4301, 5738, 18, 478, 4408, 5703, 454, 4750, 16, 374, 7352, 1857, 9218, 8668, 6589, 289, 1405, 1161, 7834, 16, 3229, 828, 38267, 16, 510, 2815, 478, 46088, 18, 8381, 470, 5037, 3781, 17, 14130, 8231, 36970, 950, 6729, 34734, 1970, 18, 510, 1540, 3452, 1250, 5314, 887, 16, 1055, 6469, 50032, 289, 396, 12788, 16, 289, 687, 1011, 978, 35454, 309, 28601, 289, 20240, 326, 505, 282, 2580, 11507, 20720, 42629, 861, 824, 3163, 34734, 22686, 16, 19171, 387, 26582, 309, 25724, 9158, 30, 8641, 334, 50021, 2095, 13558, 34580, 4322, 18, 478, 677, 11472, 7352, 16, 1586, 30519, 2712, 282, 5703, 582, 16, 45269, 9324, 334, 10009, 31905, 955, 499, 1214, 553, 910, 510, 34259, 282, 8231, 18, 1278, 28936, 539, 3868, 662, 1949, 8974, 450, 18819, 510, 1139, 37425, 16, 2271, 2853, 282, 6233, 18, 13305, 4983, 411, 17, 431, 924, 16, 374, 10383, 33230, 837, 322, 10681, 2077, 2655, 668, 36347, 16, 351, 11415, 712, 414, 282, 27246, 18, 44667, 16, 10750, 6728, 309, 7422, 39592, 823, 582, 16, 17601, 3236, 1912, 3990, 510, 349, 1272, 2299, 519, 924, 428, 639, 5371, 299, 7015, 5626, 18, 42378, 26186, 309, 2100, 4642, 19168, 755, 18, 44667, 17700, 475, 309, 970, 575, 29176, 5407, 50062, 16, 687, 282, 4335, 19453, 360, 26034, 2223, 18, 33261, 16, 411, 2024, 19423, 10276, 343, 16, 3811, 484, 282, 15301, 17188, 6566, 911, 397, 416, 5520, 18, 385, 25670, 2545, 12959, 5520, 10012, 13917, 6792, 5554, 42910 ]
[ 17, 6568, 2783, 289, 387, 15793, 309, 474, 3975, 47870, 309, 28601, 18, 967, 803, 309, 8623, 322, 4750, 16, 25848, 520, 6246, 440, 297, 1501, 16, 687, 785, 4621, 726, 21175, 18869, 802, 294, 3995, 306, 16, 45709, 8411, 949, 16946, 18, 478, 23662, 639, 22840, 910, 510, 9416, 7667, 49644, 10383, 7994, 16, 785, 3973, 2355, 265, 20128, 18, 13268, 1248, 1293, 4995, 309, 6213, 40750, 5779, 23019, 450, 18819, 289, 8064, 1211, 5554, 18, 478, 7494, 289, 7757, 16, 510, 9280, 5184, 5626, 18, 510, 889, 20928, 10481, 397, 861, 967, 803, 9573, 1250, 4933, 8064, 1867, 764, 1272, 7994, 16, 37417, 1639, 1038, 322, 10469, 49987, 1519, 309, 12697, 309, 29176, 13917, 5946, 7994, 18, 22302, 272, 2888, 5554, 450, 18819, 5354, 687, 1176, 10383, 16, 3811, 5229, 282, 33723, 12233, 17188, 18, 1397, 4243, 281, 2396, 13698, 1240, 5326, 16, 367, 1038, 281, 17519, 5703, 343, 510, 10480, 18, 3546, 2061, 506, 281, 1498, 309, 2083, 8547, 5761, 322, 3225, 18, 365, 8231, 36970, 950, 478, 46088, 18, 8381, 470, 10002, 887, 16, 374, 726, 6418, 289, 2992, 36335, 16, 505, 1038, 4732, 19406, 18, 478, 7448, 1122, 583, 10383, 26136, 16, 374, 12983, 22940, 12006, 510, 492, 3973, 5554, 450, 18819, 289, 8181, 15314, 16, 510, 13985, 4364, 282, 27246, 18, 510, 1540, 3452, 1250, 322, 26375, 4364, 7131, 5167, 30, 28627, 8668, 6589, 7834, 16, 11272, 1055, 6469, 396, 15793, 861, 640, 5776, 44099, 16, 374, 541, 21958, 282, 1574, 4096, 43368, 4128, 14806, 14777, 36412, 39083, 468, 16, 282, 8231, 20137, 16, 374, 478, 275, 6449, 1750, 10680, 1381, 25217, 861, 4756, 282, 8231, 5501, 925, 16, 374, 2733, 2175, 9573, 1250, 3005, 8197, 49726, 478, 563, 23345, 440, 297, 1501, 910, 282, 4542, 2024, 8664, 5985, 37417, 16, 322, 6495, 1733, 5896, 2585, 3018, 30202, 3995, 2078, 281, 1196, 18818, 4697, 3598, 10112, 18226, 289, 40366, 5244, 18, 2046, 282, 4542, 10438, 1542, 5825, 322, 3238, 18996, 16, 6442, 282, 11552, 8231, 18, 365, 5854, 1207, 4551, 39274, 49054, 1175, 36970, 950, 16144, 16, 374, 9099, 46839, 10786, 2355, 265, 42847, 38715, 11179, 18, 478, 6161, 15849, 3433, 3419, 16, 502, 745, 322, 2125, 11670, 14576, 448, 4096, 16, 428, 20250, 329, 813, 282, 47501, 30, 481, 10488, 549, 15734, 783, 16, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 727, 7290, 35694, 10347, 11997, 297, 696, 1428, 18, 510, 10921, 1214, 553, 2388, 477, 1963, 22200, 6539, 802, 329, 813, 3716, 3857, 861, 6592, 2095, 491, 5628, 1912, 18, 3420, 49399, 16, 349, 478, 404, 8844, 17888, 1070, 14125, 282, 18005, 5616, 1147, 1028, 1016, 16, 1210, 10650, 7730, 1453, 309, 8028, 448, 6734, 12589, 1929, 38849, 19631, 16, 29721, 289, 33422, 16, 281, 4933, 2302, 14692, 1196, 18818, 2509, 3598, 14603, 40366, 5244, 289, 28176, 8668, 12248, 7834, 304, 470, 6723, 10294, 16684, 10556, 282, 9802, 360, 7593, 519, 6957, 2791, 670, 49660, 3018, 3594, 5616, 758, 13409, 309, 3017, 360, 2236, 519, 3437, 4776, 18, 2, 1, 87, 1456, 81, 2448, 30, 16443, 355, 42843, 16, 764, 322, 17508, 1510, 6273, 282, 7522, 411, 46670, 16, 988, 10552, 24595, 4126, 334, 6619, 478, 22388, 483, 426, 507, 910, 6604, 1812, 282, 9878, 47246, 18, 365, 11946, 11925, 5292, 18562, 726, 3303, 4367, 11969, 1743, 1279, 8448, 26932, 18, 640, 1177, 445, 505, 1974, 281, 17722, 7974, 304, 16268, 3276, 31439, 282, 970, 16, 374, 745, 334, 19456, 20880, 20456, 6495, 326, 6196, 7029, 44960, 368, 16, 478, 404, 10796, 2739, 282, 1639, 322, 639, 910, 30166, 2241, 421, 15163, 18, 31224, 30, 19571, 2696, 11285, 5292, 18562, 6584, 11969, 1743, 282, 4599, 1977, 613, 281, 37612, 289, 8448, 26932, 14943, 40979, 289, 505, 24316, 7680, 19243, 40979, 16, 31891, 2989, 1176, 411, 10628, 7245, 49526, 672, 478, 28322, 354, 1175, 861, 504, 4706, 512, 39248, 282, 50128, 282, 7117, 27177, 9802, 473, 283, 18, 1032, 422, 18, 50024, 11828, 472, 677, 934, 13120, 309, 3614, 11413, 6816, 3495, 8021, 8053, 18, 824, 12529, 14160, 16, 6096, 289, 7974, 16268, 1924, 1248, 35014, 43513, 773, 38554, 478, 45605, 5524, 539, 10027, 470, 473, 1009, 25074, 13, 39885, 816, 16, 28, 3763, 2791, 329, 478, 780, 3832, 27144, 1809, 4126, 2976, 1161, 2241, 470, 12, 780, 15163, 934, 3091, 9935, 7029, 44960, 382, 334, 19456, 20880, 20456, 18, 4802, 2118, 12698, 16, 374, 2764, 14386, 10732, 1248, 7024, 478, 45605, 5524, 539, 10027, 910, 2486, 726, 8503, 7265, 5120, 616, 496, 282, 2463, 1279, 16268, 1901, 290, 14386, 4840, 2364, 12911, 3763, 2791, 329, 19504, 478, 20856, 630, 478, 732, 275, 5675, 466, 19205, 861, 528, 25074, 16, 334, 7475, 14160, 16, 7346, 4164, 6907, 339, 289, 7974, 304, 16268, 3276, 1248, 6065, 668, 5842, 309, 3874, 8108, 10845, 478, 14880, 1956, 1366, 41654, 37040, 4526, 861, 31440, 27866, 1842, 4026, 2368, 528, 25074, 16, 44197, 1754, 478, 547, 375, 2837, 2641, 16, 322, 1210, 4587, 5522, 3361, 294, 35669, 505, 3416, 861, 6592, 5016, 41971, 4090, 14132, 1101, 16, 2588, 32978, 305, 11925, 16, 282, 5049, 1045, 7974, 42843, 16, 17463, 2159, 12441, 539, 5510, 282, 478, 28322, 464, 1175, 910, 3387, 2946, 290, 36043, 1251, 7882, 402, 960, 1647, 339, 289, 421, 15163, 18, 478, 34134, 7473, 282, 9794, 12049, 470, 281, 6907, 339, 16268, 3276, 16, 492, 8190, 536, 6929, 43243, 421, 15163, 49549, 1558, 3361, 281, 478, 2814, 2840, 1175, 289, 10230, 7620, 421, 15163, 24544, 7029, 44960, 382, 37193, 1437, 16, 1350, 268, 523, 289, 2107, 13241, 416, 6340, 421, 15163, 1248, 1423, 10845, 528, 25074, 18, 478, 1182, 333, 2328, 575, 478, 45605, 5524, 539, 10027, 470, 3319, 9640, 322, 8278, 435, 8468, 9105, 16, 3387, 322, 15359, 576, 24128, 35089, 36321, 289, 3040, 496, 6814, 16, 367, 6196, 334, 24929, 541, 478, 780, 15163, 470, 5883, 22562, 697, 8851, 10343, 14768, 910, 510, 5130, 282, 9907, 11413, 18, 16268, 1924, 478, 18906, 2061, 275, 470, 6196, 528, 25074, 510, 6177, 428, 12698, 13391, 16, 282, 46116, 478, 404, 639, 7045, 5941, 470, 510, 15892, 3457, 13312, 2241, 478, 780, 15163, 282, 9802, 322, 2619, 816, 16, 28, 3763, 2791, 18, 478, 26760, 26346, 3674, 898, 15771, 1007, 309, 12056, 478, 16969, 434, 5524, 434, 10015, 910, 367, 2512, 16, 428, 23751, 13391, 16, 14386, 7372, 33969, 16268, 5925, 910, 510, 3110 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 6568, 2783, 289, 387, 15793, 309, 474, 3975, 47870, 309, 28601, 18, 967, 803, 309, 8623, 322, 4750, 16, 25848, 520, 6246, 440, 297, 1501, 16, 687, 785, 4621, 726, 21175, 18869, 802, 294, 3995, 306, 16, 45709, 8411, 949, 16946, 18, 478, 23662, 639, 22840, 910, 510, 9416, 7667, 49644, 10383, 7994, 16, 785, 3973, 2355, 265, 20128, 18, 13268, 1248, 1293, 4995, 309, 6213, 40750, 5779, 23019, 450, 18819, 289, 8064, 1211, 5554, 18, 478, 7494, 289, 7757, 16, 510, 9280, 5184, 5626, 18, 510, 889, 20928, 10481, 397, 861, 967, 803, 9573, 1250, 4933, 8064, 1867, 764, 1272, 7994, 16, 37417, 1639, 1038, 322, 10469, 49987, 1519, 309, 12697, 309, 29176, 13917, 5946, 7994, 18, 22302, 272, 2888, 5554, 450, 18819, 5354, 687, 1176, 10383, 16, 3811, 5229, 282, 33723, 12233, 17188, 18, 1397, 4243, 281, 2396, 13698, 1240, 5326, 16, 367, 1038, 281, 17519, 5703, 343, 510, 10480, 18, 3546, 2061, 506, 281, 1498, 309, 2083, 8547, 5761, 322, 3225, 18, 365, 8231, 36970, 950, 478, 46088, 18, 8381, 470, 10002, 887, 16, 374, 726, 6418, 289, 2992, 36335, 16, 505, 1038, 4732, 19406, 18, 478, 7448, 1122, 583, 10383, 26136, 16, 374, 12983, 22940, 12006, 510, 492, 3973, 5554, 450, 18819, 289, 8181, 15314, 16, 510, 13985, 4364, 282, 27246, 18, 510, 1540, 3452, 1250, 322, 26375, 4364, 7131, 5167, 30, 28627, 8668, 6589, 7834, 16, 11272, 1055, 6469, 396, 15793, 861, 640, 5776, 44099, 16, 374, 541, 21958, 282, 1574, 4096, 43368, 4128, 14806, 14777, 36412, 39083, 468, 16, 282, 8231, 20137, 16, 374, 478, 275, 6449, 1750, 10680, 1381, 25217, 861, 4756, 282, 8231, 5501, 925, 16, 374, 2733, 2175, 9573, 1250, 3005, 8197, 49726, 478, 563, 23345, 440, 297, 1501, 910, 282, 4542, 2024, 8664, 5985, 37417, 16, 322, 6495, 1733, 5896, 2585, 3018, 30202, 3995, 2078, 281, 1196, 18818, 4697, 3598, 10112, 18226, 289, 40366, 5244, 18, 2046, 282, 4542, 10438, 1542, 5825, 322, 3238, 18996, 16, 6442, 282, 11552, 8231, 18, 365, 5854, 1207, 4551, 39274, 49054, 1175, 36970, 950, 16144, 16, 374, 9099, 46839, 10786, 2355, 265, 42847, 38715, 11179, 18, 478, 6161, 15849, 3433, 3419, 16, 502, 745, 322, 2125, 11670, 14576, 448, 4096, 16, 428, 20250, 329, 813, 282, 47501, 30, 481, 10488, 549, 15734, 783, 16, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 727, 7290, 35694, 10347, 11997, 297, 696, 1428, 18, 510, 10921, 1214, 553, 2388, 477, 1963, 22200, 6539, 802, 329, 813, 3716, 3857, 861, 6592, 2095, 491, 5628, 1912, 18, 3420, 49399, 16, 349, 478, 404, 8844, 17888, 1070, 14125, 282, 18005, 5616, 1147, 1028, 1016, 16, 1210, 10650, 7730, 1453, 309, 8028, 448, 6734, 12589, 1929, 38849, 19631, 16, 29721, 289, 33422, 16, 281, 4933, 2302, 14692, 1196, 18818, 2509, 3598, 14603, 40366, 5244, 289, 28176, 8668, 12248, 7834, 304, 470, 6723, 10294, 16684, 10556, 282, 9802, 360, 7593, 519, 6957, 2791, 670, 49660, 3018, 3594, 5616, 758, 13409, 309, 3017, 360, 2236, 519, 3437, 4776, 18, 2, 1, 87, 1456, 81, 2448, 30, 16443, 355, 42843, 16, 764, 322, 17508, 1510, 6273, 282, 7522, 411, 46670, 16, 988, 10552, 24595, 4126, 334, 6619, 478, 22388, 483, 426, 507, 910, 6604, 1812, 282, 9878, 47246, 18, 365, 11946, 11925, 5292, 18562, 726, 3303, 4367, 11969, 1743, 1279, 8448, 26932, 18, 640, 1177, 445, 505, 1974, 281, 17722, 7974, 304, 16268, 3276, 31439, 282, 970, 16, 374, 745, 334, 19456, 20880, 20456, 6495, 326, 6196, 7029, 44960, 368, 16, 478, 404, 10796, 2739, 282, 1639, 322, 639, 910, 30166, 2241, 421, 15163, 18, 31224, 30, 19571, 2696, 11285, 5292, 18562, 6584, 11969, 1743, 282, 4599, 1977, 613, 281, 37612, 289, 8448, 26932, 14943, 40979, 289, 505, 24316, 7680, 19243, 40979, 16, 31891, 2989, 1176, 411, 10628, 7245, 49526, 672, 478, 28322, 354, 1175, 861, 504, 4706, 512, 39248, 282, 50128, 282, 7117, 27177, 9802, 473, 283, 18, 1032, 422, 18, 50024, 11828, 472, 677, 934, 13120, 309, 3614, 11413, 6816, 3495, 8021, 8053, 18, 824, 12529, 14160, 16, 6096, 289, 7974, 16268, 1924, 1248, 35014, 43513, 773, 38554, 478, 45605, 5524, 539, 10027, 470, 473, 1009, 25074, 13, 39885, 816, 16, 28, 3763, 2791, 329, 478, 780, 3832, 27144, 1809, 4126, 2976, 1161, 2241, 470, 12, 780, 15163, 934, 3091, 9935, 7029, 44960, 382, 334, 19456, 20880, 20456, 18, 4802, 2118, 12698, 16, 374, 2764, 14386, 10732, 1248, 7024, 478, 45605, 5524, 539, 10027, 910, 2486, 726, 8503, 7265, 5120, 616, 496, 282, 2463, 1279, 16268, 1901, 290, 14386, 4840, 2364, 12911, 3763, 2791, 329, 19504, 478, 20856, 630, 478, 732, 275, 5675, 466, 19205, 861, 528, 25074, 16, 334, 7475, 14160, 16, 7346, 4164, 6907, 339, 289, 7974, 304, 16268, 3276, 1248, 6065, 668, 5842, 309, 3874, 8108, 10845, 478, 14880, 1956, 1366, 41654, 37040, 4526, 861, 31440, 27866, 1842, 4026, 2368, 528, 25074, 16, 44197, 1754, 478, 547, 375, 2837, 2641, 16, 322, 1210, 4587, 5522, 3361, 294, 35669, 505, 3416, 861, 6592, 5016, 41971, 4090, 14132, 1101, 16, 2588, 32978, 305, 11925, 16, 282, 5049, 1045, 7974, 42843, 16, 17463, 2159, 12441, 539, 5510, 282, 478, 28322, 464, 1175, 910, 3387, 2946, 290, 36043, 1251, 7882, 402, 960, 1647, 339, 289, 421, 15163, 18, 478, 34134, 7473, 282, 9794, 12049, 470, 281, 6907, 339, 16268, 3276, 16, 492, 8190, 536, 6929, 43243, 421, 15163, 49549, 1558, 3361, 281, 478, 2814, 2840, 1175, 289, 10230, 7620, 421, 15163, 24544, 7029, 44960, 382, 37193, 1437, 16, 1350, 268, 523, 289, 2107, 13241, 416, 6340, 421, 15163, 1248, 1423, 10845, 528, 25074, 18, 478, 1182, 333, 2328, 575, 478, 45605, 5524, 539, 10027, 470, 3319, 9640, 322, 8278, 435, 8468, 9105, 16, 3387, 322, 15359, 576, 24128, 35089, 36321, 289, 3040, 496, 6814, 16, 367, 6196, 334, 24929, 541, 478, 780, 15163, 470, 5883, 22562, 697, 8851, 10343, 14768, 910, 510, 5130, 282, 9907, 11413, 18, 16268, 1924, 478, 18906, 2061, 275, 470, 6196, 528, 25074, 510, 6177, 428, 12698, 13391, 16, 282, 46116, 478, 404, 639, 7045, 5941, 470, 510, 15892, 3457, 13312, 2241, 478, 780, 15163, 282, 9802, 322, 2619, 816, 16, 28, 3763, 2791, 18, 478, 26760, 26346, 3674, 898, 15771, 1007, 309, 12056, 478, 16969, 434, 5524, 434, 10015, 910, 367, 2512, 16, 428, 23751, 13391, 16, 14386, 7372, 33969, 16268, 5925, 910, 510, 3110 ]
[ 11925, 18, 7743, 18966, 334, 32477, 20148, 8840, 421, 15163, 11088, 14708, 285, 401, 18, 8444, 281, 5895, 779, 4452, 309, 5814, 749, 2251, 2514, 21488, 24283, 35973, 510, 17625, 6196, 334, 27469, 44247, 15744, 25878, 304, 309, 439, 46386, 428, 334, 311, 576, 2986, 16, 453, 289, 334, 6760, 12248, 13400, 17, 3509, 2675, 16, 367, 1038, 2921, 1876, 21044, 390, 17, 267, 7527, 10903, 4974, 473, 35391, 780, 13, 289, 1888, 6961, 24283, 35973, 334, 3025, 1175, 18, 7743, 421, 15163, 5219, 1569, 282, 2361, 8357, 281, 5034, 536, 8344, 478, 732, 275, 5675, 466, 19205, 910, 2486, 639, 18966, 1279, 16268, 1901, 282, 11023, 4018, 779, 18, 4707, 6809, 13184, 6096, 42843, 289, 505, 11675, 548, 290, 2463, 13517, 282, 30498, 19017, 17, 16226, 18, 20346, 282, 3580, 309, 45153, 582, 12665, 2615, 1119, 6612, 883, 334, 6619, 478, 22388, 483, 426, 507, 861, 7743, 16, 334, 5076, 640, 8614, 1147, 11103, 2626, 14267, 282, 3320, 37650, 548, 4076, 7882, 402, 960, 3831, 478, 22388, 483, 11425, 910, 639, 18966, 282, 4440, 1045, 18, 6592, 25295, 1147, 11681, 1508, 17201, 16, 9278, 539, 327, 18, 1032, 422, 18, 24095, 16, 8374, 484, 519, 1533, 986, 17703, 8124, 18, 478, 46672, 1309, 282, 30498, 18, 13326, 1501, 16, 374, 21849, 925, 764, 2361, 11969, 1743, 18, 889, 2862, 656, 18397, 25849, 6976, 18, 4801, 1526, 7949, 16, 510, 6463, 282, 11946, 42843, 282, 3177, 43287, 18, 510, 478, 983, 35226, 16268, 1924, 470, 4362, 9382, 19360, 3196, 496, 16, 428, 478, 983, 35226, 44022, 470, 473, 14210, 1602, 17, 343, 2260, 778, 28636, 5862, 29069, 334, 34689, 31433, 4466, 510, 478, 18386, 18, 8381, 861, 365, 9937, 309, 20068, 680, 6394, 4534, 6382, 24118, 282, 8156, 14943, 40979, 18, 5585, 1066, 30719, 1293, 2634, 1135, 16, 18479, 30111, 18, 824, 25036, 30166, 6233, 16, 24118, 3920, 639, 322, 1143, 14953, 1135, 18, 6096, 42843, 282, 2343, 3972, 4018, 779, 1038, 1559, 5120, 616, 496, 453, 30515, 478, 1148, 8613, 563, 861, 824, 7475, 994, 13499, 16, 3785, 8448, 26932, 478, 18163, 2120, 470, 7356, 2990, 309, 25033, 13185, 8613, 563, 16, 515, 2512, 590, 8665, 623, 5481, 41476, 281, 4779, 12915, 17, 314, 5388, 2325, 1082, 18, 365, 3198, 45432, 1437, 16, 6881, 36560, 16, 478, 18163, 2120, 470, 16705, 1154, 7431, 3417, 3763, 2791, 18, 7743, 290, 50128, 2438, 24721, 8344, 1279, 40979, 349, 4101, 13591, 18, 4707, 6809, 26932, 16, 594, 2822, 20518, 4426, 8384, 281, 5153, 2005, 353, 4076, 371, 25873, 1230, 328, 5394, 947, 712, 16, 6959, 5317, 334, 34582, 478, 6890, 1235, 16253, 470, 289, 478, 8572, 899, 354, 861, 385, 3612, 334, 478, 747, 272, 8613, 563, 470, 36560, 1715, 12106, 15244, 2797, 15437, 18, 4756, 7897, 16, 13877, 281, 21971, 14160, 16, 3828, 478, 46088, 18, 8381, 910, 374, 1314, 334, 6619, 8613, 563, 478, 578, 305, 334, 1272, 17, 1198, 33691, 282, 1119, 16, 2797, 3264, 1867, 322, 687, 865, 432, 26721, 16, 515, 289, 1817, 1385, 6814, 4623, 861, 385, 20957, 1082, 294, 18629, 7768, 726, 21338, 11350, 17, 8844, 38889, 4623, 16, 367, 4373, 15689, 19017, 680, 1767, 14564, 4377, 770, 1624, 22028, 1779, 10722, 11050, 8613, 563, 17397, 528, 389, 1496, 1624, 11350, 17, 25325, 15046, 9622, 15748, 4623, 8909, 15528, 2674, 289, 5222, 8613, 563, 281, 8439, 334, 7520, 1205, 16, 367, 4373, 47490, 38889, 26201, 730, 17, 672, 7290, 682, 9407, 9715, 5749, 2279, 18, 12126, 475, 510, 5749, 2279, 1624, 15528, 2674, 289, 528, 389, 1496, 510, 17245, 10919, 17187, 16, 48431, 1743, 47684, 24853, 13059, 18, 14564, 4377, 770, 4263, 17187, 16, 515, 1038, 22634, 1475, 1743, 428, 281, 2503, 8946, 523, 5460, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 14118, 9280, 13375, 349, 2019, 282, 430, 19, 28, 21451, 42879, 16180, 17793, 18, 365, 8267, 8508, 13767, 40406, 16423, 13397, 873, 15379, 282, 25857, 281, 478, 31538, 38170, 470, 289, 322, 4247, 2990, 18042, 874, 16, 374, 2048, 6993, 6392, 282, 7814, 6566, 12525, 18112, 9536, 18, 31224, 30, 471, 8882, 22624, 38170, 26942, 510, 14118, 478, 36578, 3248, 470, 510, 478, 983, 34722, 470, 30067, 14118, 8421, 282, 430, 19, 28, 21451, 16180, 17793, 8471, 6993, 17971, 18, 1681, 11607, 2497, 17514, 33385, 24009, 6280, 467, 282, 8267, 8508, 35743, 13767, 40406, 16423, 281, 478, 31538, 38170, 470, 1258, 18895, 1192, 46060, 957, 282, 25857, 18, 3266, 2818, 49491, 537, 282, 17607, 1750, 2955, 18042, 874, 16, 14917, 16, 309, 478, 630, 49616, 20513, 399, 15432, 470, 1381, 4823, 13437, 289, 14889, 309, 35449, 451, 541, 965, 5138, 11071, 21055, 7977, 478, 36578, 3248, 470, 510, 478, 983, 34722, 861, 2112, 2271, 1734, 29510, 9764, 1195, 478, 36578, 791, 761, 470, 282, 6104, 28220, 13397, 873, 15660, 17078, 887, 16, 453, 428, 1248, 1272, 4177, 2438, 3665, 16, 374, 478, 780, 4298, 470, 25469, 19883, 4287, 281, 46987, 12932, 18, 478, 983, 34722, 470, 48004, 334, 6432, 1876, 14118, 289, 29575, 364, 11854, 282, 8384, 349, 11464, 1756, 334, 1619, 552, 17099, 9691, 18, 608, 47431, 281, 19883, 2855, 334, 10384, 12994, 16, 2686, 1642, 14118, 25469, 2239, 30, 22, 16, 367, 282, 25857, 17060, 491, 30, 21, 18, 2877, 282, 1750, 18510, 624, 12994, 1011, 7518, 9806, 16, 478, 983, 34722, 470, 8950, 4026, 13397, 1275, 16, 289, 13270, 309, 478, 630, 49616, 20513, 399, 15432, 470, 12745, 2657, 3576, 33385, 24009, 289, 10845, 282, 2151, 877, 5538, 18, 21762, 2107, 5138, 37358, 281, 478, 31538, 304, 470, 19229, 16171, 15092, 13375, 282, 29437, 3216, 547, 4789, 1212, 19843, 18, 2046, 14513, 16, 374, 14118, 9553, 935, 18908, 48372, 939, 25019, 18, 478, 4298, 34080, 910, 42969, 478, 983, 604, 3051, 470, 1871, 5576, 2158, 16, 39978, 8955, 282, 8933, 18, 2877, 541, 478, 780, 4298, 470, 1177, 10133, 322, 1623, 16246, 6575, 19212, 18, 4185, 9193, 2019, 411, 3463, 281, 4183, 2223, 16, 478, 8719, 536, 37266, 395, 470, 2003, 8396, 18908, 48372, 18, 3529, 745, 1988, 46958, 2511, 12994, 16, 289, 935, 1158, 549, 16410, 478, 983, 604, 831, 470, 1195, 478, 36578, 791, 761, 470, 322, 5889, 341, 603, 13805, 1643, 34782, 3230, 2992, 35672, 18, 365, 1750, 537, 2607, 434, 16616, 282, 8882, 390, 15022, 13397, 4287, 4128, 16419, 309, 13270, 19883, 1275, 360, 478, 36578, 791, 382, 910, 289, 935 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11925, 18, 7743, 18966, 334, 32477, 20148, 8840, 421, 15163, 11088, 14708, 285, 401, 18, 8444, 281, 5895, 779, 4452, 309, 5814, 749, 2251, 2514, 21488, 24283, 35973, 510, 17625, 6196, 334, 27469, 44247, 15744, 25878, 304, 309, 439, 46386, 428, 334, 311, 576, 2986, 16, 453, 289, 334, 6760, 12248, 13400, 17, 3509, 2675, 16, 367, 1038, 2921, 1876, 21044, 390, 17, 267, 7527, 10903, 4974, 473, 35391, 780, 13, 289, 1888, 6961, 24283, 35973, 334, 3025, 1175, 18, 7743, 421, 15163, 5219, 1569, 282, 2361, 8357, 281, 5034, 536, 8344, 478, 732, 275, 5675, 466, 19205, 910, 2486, 639, 18966, 1279, 16268, 1901, 282, 11023, 4018, 779, 18, 4707, 6809, 13184, 6096, 42843, 289, 505, 11675, 548, 290, 2463, 13517, 282, 30498, 19017, 17, 16226, 18, 20346, 282, 3580, 309, 45153, 582, 12665, 2615, 1119, 6612, 883, 334, 6619, 478, 22388, 483, 426, 507, 861, 7743, 16, 334, 5076, 640, 8614, 1147, 11103, 2626, 14267, 282, 3320, 37650, 548, 4076, 7882, 402, 960, 3831, 478, 22388, 483, 11425, 910, 639, 18966, 282, 4440, 1045, 18, 6592, 25295, 1147, 11681, 1508, 17201, 16, 9278, 539, 327, 18, 1032, 422, 18, 24095, 16, 8374, 484, 519, 1533, 986, 17703, 8124, 18, 478, 46672, 1309, 282, 30498, 18, 13326, 1501, 16, 374, 21849, 925, 764, 2361, 11969, 1743, 18, 889, 2862, 656, 18397, 25849, 6976, 18, 4801, 1526, 7949, 16, 510, 6463, 282, 11946, 42843, 282, 3177, 43287, 18, 510, 478, 983, 35226, 16268, 1924, 470, 4362, 9382, 19360, 3196, 496, 16, 428, 478, 983, 35226, 44022, 470, 473, 14210, 1602, 17, 343, 2260, 778, 28636, 5862, 29069, 334, 34689, 31433, 4466, 510, 478, 18386, 18, 8381, 861, 365, 9937, 309, 20068, 680, 6394, 4534, 6382, 24118, 282, 8156, 14943, 40979, 18, 5585, 1066, 30719, 1293, 2634, 1135, 16, 18479, 30111, 18, 824, 25036, 30166, 6233, 16, 24118, 3920, 639, 322, 1143, 14953, 1135, 18, 6096, 42843, 282, 2343, 3972, 4018, 779, 1038, 1559, 5120, 616, 496, 453, 30515, 478, 1148, 8613, 563, 861, 824, 7475, 994, 13499, 16, 3785, 8448, 26932, 478, 18163, 2120, 470, 7356, 2990, 309, 25033, 13185, 8613, 563, 16, 515, 2512, 590, 8665, 623, 5481, 41476, 281, 4779, 12915, 17, 314, 5388, 2325, 1082, 18, 365, 3198, 45432, 1437, 16, 6881, 36560, 16, 478, 18163, 2120, 470, 16705, 1154, 7431, 3417, 3763, 2791, 18, 7743, 290, 50128, 2438, 24721, 8344, 1279, 40979, 349, 4101, 13591, 18, 4707, 6809, 26932, 16, 594, 2822, 20518, 4426, 8384, 281, 5153, 2005, 353, 4076, 371, 25873, 1230, 328, 5394, 947, 712, 16, 6959, 5317, 334, 34582, 478, 6890, 1235, 16253, 470, 289, 478, 8572, 899, 354, 861, 385, 3612, 334, 478, 747, 272, 8613, 563, 470, 36560, 1715, 12106, 15244, 2797, 15437, 18, 4756, 7897, 16, 13877, 281, 21971, 14160, 16, 3828, 478, 46088, 18, 8381, 910, 374, 1314, 334, 6619, 8613, 563, 478, 578, 305, 334, 1272, 17, 1198, 33691, 282, 1119, 16, 2797, 3264, 1867, 322, 687, 865, 432, 26721, 16, 515, 289, 1817, 1385, 6814, 4623, 861, 385, 20957, 1082, 294, 18629, 7768, 726, 21338, 11350, 17, 8844, 38889, 4623, 16, 367, 4373, 15689, 19017, 680, 1767, 14564, 4377, 770, 1624, 22028, 1779, 10722, 11050, 8613, 563, 17397, 528, 389, 1496, 1624, 11350, 17, 25325, 15046, 9622, 15748, 4623, 8909, 15528, 2674, 289, 5222, 8613, 563, 281, 8439, 334, 7520, 1205, 16, 367, 4373, 47490, 38889, 26201, 730, 17, 672, 7290, 682, 9407, 9715, 5749, 2279, 18, 12126, 475, 510, 5749, 2279, 1624, 15528, 2674, 289, 528, 389, 1496, 510, 17245, 10919, 17187, 16, 48431, 1743, 47684, 24853, 13059, 18, 14564, 4377, 770, 4263, 17187, 16, 515, 1038, 22634, 1475, 1743, 428, 281, 2503, 8946, 523, 5460, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 14118, 9280, 13375, 349, 2019, 282, 430, 19, 28, 21451, 42879, 16180, 17793, 18, 365, 8267, 8508, 13767, 40406, 16423, 13397, 873, 15379, 282, 25857, 281, 478, 31538, 38170, 470, 289, 322, 4247, 2990, 18042, 874, 16, 374, 2048, 6993, 6392, 282, 7814, 6566, 12525, 18112, 9536, 18, 31224, 30, 471, 8882, 22624, 38170, 26942, 510, 14118, 478, 36578, 3248, 470, 510, 478, 983, 34722, 470, 30067, 14118, 8421, 282, 430, 19, 28, 21451, 16180, 17793, 8471, 6993, 17971, 18, 1681, 11607, 2497, 17514, 33385, 24009, 6280, 467, 282, 8267, 8508, 35743, 13767, 40406, 16423, 281, 478, 31538, 38170, 470, 1258, 18895, 1192, 46060, 957, 282, 25857, 18, 3266, 2818, 49491, 537, 282, 17607, 1750, 2955, 18042, 874, 16, 14917, 16, 309, 478, 630, 49616, 20513, 399, 15432, 470, 1381, 4823, 13437, 289, 14889, 309, 35449, 451, 541, 965, 5138, 11071, 21055, 7977, 478, 36578, 3248, 470, 510, 478, 983, 34722, 861, 2112, 2271, 1734, 29510, 9764, 1195, 478, 36578, 791, 761, 470, 282, 6104, 28220, 13397, 873, 15660, 17078, 887, 16, 453, 428, 1248, 1272, 4177, 2438, 3665, 16, 374, 478, 780, 4298, 470, 25469, 19883, 4287, 281, 46987, 12932, 18, 478, 983, 34722, 470, 48004, 334, 6432, 1876, 14118, 289, 29575, 364, 11854, 282, 8384, 349, 11464, 1756, 334, 1619, 552, 17099, 9691, 18, 608, 47431, 281, 19883, 2855, 334, 10384, 12994, 16, 2686, 1642, 14118, 25469, 2239, 30, 22, 16, 367, 282, 25857, 17060, 491, 30, 21, 18, 2877, 282, 1750, 18510, 624, 12994, 1011, 7518, 9806, 16, 478, 983, 34722, 470, 8950, 4026, 13397, 1275, 16, 289, 13270, 309, 478, 630, 49616, 20513, 399, 15432, 470, 12745, 2657, 3576, 33385, 24009, 289, 10845, 282, 2151, 877, 5538, 18, 21762, 2107, 5138, 37358, 281, 478, 31538, 304, 470, 19229, 16171, 15092, 13375, 282, 29437, 3216, 547, 4789, 1212, 19843, 18, 2046, 14513, 16, 374, 14118, 9553, 935, 18908, 48372, 939, 25019, 18, 478, 4298, 34080, 910, 42969, 478, 983, 604, 3051, 470, 1871, 5576, 2158, 16, 39978, 8955, 282, 8933, 18, 2877, 541, 478, 780, 4298, 470, 1177, 10133, 322, 1623, 16246, 6575, 19212, 18, 4185, 9193, 2019, 411, 3463, 281, 4183, 2223, 16, 478, 8719, 536, 37266, 395, 470, 2003, 8396, 18908, 48372, 18, 3529, 745, 1988, 46958, 2511, 12994, 16, 289, 935, 1158, 549, 16410, 478, 983, 604, 831, 470, 1195, 478, 36578, 791, 761, 470, 322, 5889, 341, 603, 13805, 1643, 34782, 3230, 2992, 35672, 18, 365, 1750, 537, 2607, 434, 16616, 282, 8882, 390, 15022, 13397, 4287, 4128, 16419, 309, 13270, 19883, 1275, 360, 478, 36578, 791, 382, 910, 289, 935 ]
[ 35950, 41456, 549, 16410, 282, 25857, 322, 5695, 43037, 416, 22289, 8421, 282, 430, 19, 28, 21451, 16, 453, 428, 478, 983, 34722, 470, 1038, 895, 20850, 329, 1728, 21755, 18, 18816, 1015, 329, 14118, 939, 2950, 16, 515, 745, 475, 17, 2767, 912, 18, 1591, 17, 7329, 16, 1376, 297, 20892, 2234, 1192, 46060, 957, 895, 18908, 309, 26889, 6441, 510, 14923, 649, 44574, 668, 23478, 16, 515, 289, 322, 2805, 29828, 282, 31277, 16, 374, 5695, 9700, 309, 537, 2607, 451, 5138, 18, 1591, 17, 8678, 16, 2955, 13880, 478, 36578, 791, 454, 470, 428, 29555, 419, 18, 16003, 16, 374, 28638, 873, 5823, 25883, 11178, 476, 2661, 3463, 289, 16157, 475, 16171, 309, 13375, 935, 349, 2151, 877, 5538, 18, 20466, 16, 374, 329, 478, 36578, 791, 382, 470, 322, 2498, 12948, 510, 481, 6292, 289, 24355, 18, 42056, 16, 367, 1588, 867, 1033, 6861, 10553, 1388, 17152, 28638, 2818, 49491, 16, 322, 5425, 3227, 2253, 5910, 1161, 20665, 586, 1659, 281, 478, 807, 616, 761, 470, 282, 1362, 2800, 478, 6901, 861, 459, 942, 11623, 14513, 16, 374, 520, 8561, 24172, 873, 309, 3177, 4577, 1872, 11914, 16, 515, 8003, 802, 18548, 18, 8919, 1472, 687, 282, 970, 16, 5304, 520, 14118, 322, 11932, 319, 309, 478, 630, 49616, 20513, 399, 15432, 861, 439, 282, 803, 912, 6228, 9012, 16, 453, 428, 18653, 1742, 2452, 47431, 309, 10133, 840, 939, 20721, 360, 12334, 2009, 18, 365, 9547, 281, 478, 36578, 791, 761, 470, 3619, 34840, 19287, 8049, 286, 1051, 1624, 31769, 371, 33385, 24009, 3348, 411, 22912, 12525, 4966, 16, 289, 726, 3665, 16, 374, 25803, 25236, 14828, 309, 4577, 1472, 282, 11671, 1045, 18, 2263, 2435, 575, 6506, 758, 2458, 10068, 6552, 45054, 2970, 268, 7839, 1000, 289, 44568, 287, 507, 43361, 2070, 18, 1714, 313, 17241, 21188, 14118, 5684, 334, 45109, 31904, 582, 282, 9547, 281, 28638, 1703, 29709, 16, 289, 349, 32674, 478, 1615, 447, 18611, 470, 5505, 21691, 10133, 281, 478, 780, 4298, 910, 367, 6096, 23860, 272, 7960, 289, 17299, 607, 21759, 609, 34698, 13656, 764, 1421, 5576, 2158, 282, 17527, 416, 9547, 2407, 26817, 1279, 478, 11356, 17, 1916, 2851, 4929, 820, 861, 365, 18923, 33385, 24009, 1139, 322, 5290, 2287, 32075, 14339, 16, 289, 492, 840, 11189, 19160, 319, 309, 10927, 8182, 8220, 420, 1356, 18, 403, 5414, 481, 17650, 282, 8267, 1279, 6740, 7586, 439, 26817, 16, 10480, 16, 515, 9795, 8323, 4726, 322, 2799, 3519, 18, 478, 12003, 342, 1183, 470, 510, 478, 672, 1394, 13407, 1258, 320, 503, 470, 478, 563, 310, 4415, 470, 510, 478, 5853, 868, 426, 36394, 470, 365, 8933, 951, 16816, 607, 16, 334, 7413, 281, 13397, 680, 16, 8067, 3440, 18, 5890, 7735, 3665, 16, 374, 478, 18819, 2997, 470, 289, 478, 12003, 342, 1183, 18222, 282, 430, 19, 28, 21451, 16, 687, 5702, 12369, 281, 5608, 2223, 18, 5661, 14945, 5306, 360, 12227, 360, 32739, 309, 1421, 26654, 18, 365, 5572, 8267, 308, 11759, 21541, 873, 28365, 538, 282, 12221, 16536, 539, 13270, 477, 12932, 2239, 30, 23, 16, 289, 16, 753, 8950, 18978, 32739, 16, 21166, 3328, 1614, 293, 513, 14397, 50045, 507, 2003, 14393, 874, 281, 445, 5793, 282, 2846, 32657, 16, 14394, 1660, 17973, 294, 42069, 18, 385, 27653, 282, 2151, 877, 5538, 1320, 1715, 19056, 18, 24175, 6047, 778, 478, 563, 310, 4415, 470, 21384, 12977, 478, 5853, 868, 426, 36394, 470, 309, 1421, 26654, 289, 9988, 4722, 10133, 40406, 14452, 1642, 18, 12027, 924, 16, 282, 29956, 478, 563, 310, 4415, 470, 21035, 21755, 477, 12932, 816, 30, 20, 16, 367, 282, 1750, 18510, 624, 12994, 329, 1949, 3541, 4686, 9010, 1463, 7005, 17099, 9691, 18, 478, 36796, 470, 510, 478, 49256, 30433, 470, 478, 730, 3372, 470, 510, 478, 36553, 10925, 470, 365, 12445, 781, 769, 6295, 29798, 18, 41466, 1815, 18326, 1756, 26039, 6992, 778, 478, 49256, 30433, 470, 360, 12227, 360, 478, 730, 14453, 470, 309, 1272, 26654, 289, 895, 8950, 18978, 7813, 1275, 282, 8384, 349, 12376, 4378, 13440, 282, 430, 19, 28, 21451, 18, 740, 481, 687, 34490, 16, 453, 428, 21166, 2497, 625, 15106, 22942, 3911, 2850, 41308, 15379, 282, 16876, 28220, 281, 34384, 363, 1703, 478, 36553, 807, 3792, 470, 309, 3177, 4577, 18, 2790, 2133, 16, 374, 478, 730, 3372, 470, 322, 7499, 305, 3716, 4385, 18, 1397, 5327, 478, 36796, 910, 502, 21384, 626, 1815, 282, 8384, 349, 7015, 1756, 309, 1272, 26654, 478, 730, 825, 470, 14007, 9460, 3147, 895, 15529, 49564, 18, 45829, 42887, 913, 2657, 341, 1423, 8616, 282, 9258, 1815, 3800, 289, 840, 49175, 23050, 8955, 16, 289, 282, 1750, 9792, 38474, 7586, 289, 9764, 32030, 16, 21166, 2497, 35198, 2124, 464, 1698, 3524, 14817, 309, 12376, 10839, 18, 740, 481, 2903, 2284, 16, 374, 895, 424, 15022, 4694, 22322, 1275, 16, 453, 428, 12966, 8421, 282, 430, 19, 28, 586, 1659, 745, 726, 5658, 18, 478, 39227, 324, 470, 510, 478, 563, 11415, 7851, 470, 478, 630, 11720, 333, 397, 470, 510, 478, 48334, 21186, 470, 26605, 24725, 6295, 28784, 282, 8933, 1130, 16, 988, 1055, 25941, 4364, 478, 39227, 324, 470, 289, 478, 48334, 21186, 861, 6499, 300, 356, 873, 726, 2341, 4030, 1190, 2019, 282, 22979, 17, 21131, 281, 4183, 2223, 16, 367, 5510, 1613, 2440, 1275, 322, 23861, 18, 365, 14970, 1354, 478, 24398, 272, 844, 324, 470, 906, 373, 35543, 49338, 496, 282, 35107, 281, 520, 8561, 24172, 1703, 478, 563, 11415, 1520, 3924, 910, 515, 322, 282, 8267, 16, 282, 2114, 478, 15383, 409, 470, 726, 1329, 322, 1513, 18, 996, 374, 16, 8955, 478, 563, 11415, 42979, 470, 5285, 2102, 2955, 16, 1830, 935, 1965, 37352, 5422, 13059, 478, 267, 1153, 17, 844, 4752, 2509, 470, 18042, 874, 4106, 17, 3697, 309, 478, 21805, 293, 740, 272, 470, 1320, 322, 939, 5425, 18, 478, 48334, 21186, 910, 21384, 626, 1815, 478, 563, 11415, 7851, 470, 1223, 309, 2361, 48148, 16, 1943, 23503, 281, 19534, 9764, 28638, 1275, 1195, 10911, 356, 2855, 16, 289, 282, 25857, 329, 478, 630, 11720, 333, 4654, 470, 840, 6281, 309, 8955, 16, 374, 1965, 322, 8026, 22085, 16, 453, 428, 40712, 334, 10825, 510, 8329, 411, 3322, 5769, 995, 27236, 32737, 282, 2968, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 16180, 17793 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35950, 41456, 549, 16410, 282, 25857, 322, 5695, 43037, 416, 22289, 8421, 282, 430, 19, 28, 21451, 16, 453, 428, 478, 983, 34722, 470, 1038, 895, 20850, 329, 1728, 21755, 18, 18816, 1015, 329, 14118, 939, 2950, 16, 515, 745, 475, 17, 2767, 912, 18, 1591, 17, 7329, 16, 1376, 297, 20892, 2234, 1192, 46060, 957, 895, 18908, 309, 26889, 6441, 510, 14923, 649, 44574, 668, 23478, 16, 515, 289, 322, 2805, 29828, 282, 31277, 16, 374, 5695, 9700, 309, 537, 2607, 451, 5138, 18, 1591, 17, 8678, 16, 2955, 13880, 478, 36578, 791, 454, 470, 428, 29555, 419, 18, 16003, 16, 374, 28638, 873, 5823, 25883, 11178, 476, 2661, 3463, 289, 16157, 475, 16171, 309, 13375, 935, 349, 2151, 877, 5538, 18, 20466, 16, 374, 329, 478, 36578, 791, 382, 470, 322, 2498, 12948, 510, 481, 6292, 289, 24355, 18, 42056, 16, 367, 1588, 867, 1033, 6861, 10553, 1388, 17152, 28638, 2818, 49491, 16, 322, 5425, 3227, 2253, 5910, 1161, 20665, 586, 1659, 281, 478, 807, 616, 761, 470, 282, 1362, 2800, 478, 6901, 861, 459, 942, 11623, 14513, 16, 374, 520, 8561, 24172, 873, 309, 3177, 4577, 1872, 11914, 16, 515, 8003, 802, 18548, 18, 8919, 1472, 687, 282, 970, 16, 5304, 520, 14118, 322, 11932, 319, 309, 478, 630, 49616, 20513, 399, 15432, 861, 439, 282, 803, 912, 6228, 9012, 16, 453, 428, 18653, 1742, 2452, 47431, 309, 10133, 840, 939, 20721, 360, 12334, 2009, 18, 365, 9547, 281, 478, 36578, 791, 761, 470, 3619, 34840, 19287, 8049, 286, 1051, 1624, 31769, 371, 33385, 24009, 3348, 411, 22912, 12525, 4966, 16, 289, 726, 3665, 16, 374, 25803, 25236, 14828, 309, 4577, 1472, 282, 11671, 1045, 18, 2263, 2435, 575, 6506, 758, 2458, 10068, 6552, 45054, 2970, 268, 7839, 1000, 289, 44568, 287, 507, 43361, 2070, 18, 1714, 313, 17241, 21188, 14118, 5684, 334, 45109, 31904, 582, 282, 9547, 281, 28638, 1703, 29709, 16, 289, 349, 32674, 478, 1615, 447, 18611, 470, 5505, 21691, 10133, 281, 478, 780, 4298, 910, 367, 6096, 23860, 272, 7960, 289, 17299, 607, 21759, 609, 34698, 13656, 764, 1421, 5576, 2158, 282, 17527, 416, 9547, 2407, 26817, 1279, 478, 11356, 17, 1916, 2851, 4929, 820, 861, 365, 18923, 33385, 24009, 1139, 322, 5290, 2287, 32075, 14339, 16, 289, 492, 840, 11189, 19160, 319, 309, 10927, 8182, 8220, 420, 1356, 18, 403, 5414, 481, 17650, 282, 8267, 1279, 6740, 7586, 439, 26817, 16, 10480, 16, 515, 9795, 8323, 4726, 322, 2799, 3519, 18, 478, 12003, 342, 1183, 470, 510, 478, 672, 1394, 13407, 1258, 320, 503, 470, 478, 563, 310, 4415, 470, 510, 478, 5853, 868, 426, 36394, 470, 365, 8933, 951, 16816, 607, 16, 334, 7413, 281, 13397, 680, 16, 8067, 3440, 18, 5890, 7735, 3665, 16, 374, 478, 18819, 2997, 470, 289, 478, 12003, 342, 1183, 18222, 282, 430, 19, 28, 21451, 16, 687, 5702, 12369, 281, 5608, 2223, 18, 5661, 14945, 5306, 360, 12227, 360, 32739, 309, 1421, 26654, 18, 365, 5572, 8267, 308, 11759, 21541, 873, 28365, 538, 282, 12221, 16536, 539, 13270, 477, 12932, 2239, 30, 23, 16, 289, 16, 753, 8950, 18978, 32739, 16, 21166, 3328, 1614, 293, 513, 14397, 50045, 507, 2003, 14393, 874, 281, 445, 5793, 282, 2846, 32657, 16, 14394, 1660, 17973, 294, 42069, 18, 385, 27653, 282, 2151, 877, 5538, 1320, 1715, 19056, 18, 24175, 6047, 778, 478, 563, 310, 4415, 470, 21384, 12977, 478, 5853, 868, 426, 36394, 470, 309, 1421, 26654, 289, 9988, 4722, 10133, 40406, 14452, 1642, 18, 12027, 924, 16, 282, 29956, 478, 563, 310, 4415, 470, 21035, 21755, 477, 12932, 816, 30, 20, 16, 367, 282, 1750, 18510, 624, 12994, 329, 1949, 3541, 4686, 9010, 1463, 7005, 17099, 9691, 18, 478, 36796, 470, 510, 478, 49256, 30433, 470, 478, 730, 3372, 470, 510, 478, 36553, 10925, 470, 365, 12445, 781, 769, 6295, 29798, 18, 41466, 1815, 18326, 1756, 26039, 6992, 778, 478, 49256, 30433, 470, 360, 12227, 360, 478, 730, 14453, 470, 309, 1272, 26654, 289, 895, 8950, 18978, 7813, 1275, 282, 8384, 349, 12376, 4378, 13440, 282, 430, 19, 28, 21451, 18, 740, 481, 687, 34490, 16, 453, 428, 21166, 2497, 625, 15106, 22942, 3911, 2850, 41308, 15379, 282, 16876, 28220, 281, 34384, 363, 1703, 478, 36553, 807, 3792, 470, 309, 3177, 4577, 18, 2790, 2133, 16, 374, 478, 730, 3372, 470, 322, 7499, 305, 3716, 4385, 18, 1397, 5327, 478, 36796, 910, 502, 21384, 626, 1815, 282, 8384, 349, 7015, 1756, 309, 1272, 26654, 478, 730, 825, 470, 14007, 9460, 3147, 895, 15529, 49564, 18, 45829, 42887, 913, 2657, 341, 1423, 8616, 282, 9258, 1815, 3800, 289, 840, 49175, 23050, 8955, 16, 289, 282, 1750, 9792, 38474, 7586, 289, 9764, 32030, 16, 21166, 2497, 35198, 2124, 464, 1698, 3524, 14817, 309, 12376, 10839, 18, 740, 481, 2903, 2284, 16, 374, 895, 424, 15022, 4694, 22322, 1275, 16, 453, 428, 12966, 8421, 282, 430, 19, 28, 586, 1659, 745, 726, 5658, 18, 478, 39227, 324, 470, 510, 478, 563, 11415, 7851, 470, 478, 630, 11720, 333, 397, 470, 510, 478, 48334, 21186, 470, 26605, 24725, 6295, 28784, 282, 8933, 1130, 16, 988, 1055, 25941, 4364, 478, 39227, 324, 470, 289, 478, 48334, 21186, 861, 6499, 300, 356, 873, 726, 2341, 4030, 1190, 2019, 282, 22979, 17, 21131, 281, 4183, 2223, 16, 367, 5510, 1613, 2440, 1275, 322, 23861, 18, 365, 14970, 1354, 478, 24398, 272, 844, 324, 470, 906, 373, 35543, 49338, 496, 282, 35107, 281, 520, 8561, 24172, 1703, 478, 563, 11415, 1520, 3924, 910, 515, 322, 282, 8267, 16, 282, 2114, 478, 15383, 409, 470, 726, 1329, 322, 1513, 18, 996, 374, 16, 8955, 478, 563, 11415, 42979, 470, 5285, 2102, 2955, 16, 1830, 935, 1965, 37352, 5422, 13059, 478, 267, 1153, 17, 844, 4752, 2509, 470, 18042, 874, 4106, 17, 3697, 309, 478, 21805, 293, 740, 272, 470, 1320, 322, 939, 5425, 18, 478, 48334, 21186, 910, 21384, 626, 1815, 478, 563, 11415, 7851, 470, 1223, 309, 2361, 48148, 16, 1943, 23503, 281, 19534, 9764, 28638, 1275, 1195, 10911, 356, 2855, 16, 289, 282, 25857, 329, 478, 630, 11720, 333, 4654, 470, 840, 6281, 309, 8955, 16, 374, 1965, 322, 8026, 22085, 16, 453, 428, 40712, 334, 10825, 510, 8329, 411, 3322, 5769, 995, 27236, 32737, 282, 2968, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 16180, 17793 ]
[ 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 15247, 2557, 22200, 289, 13518, 14576, 432, 4370, 267, 4929, 35670, 5482, 16325, 13305, 749, 18581, 16, 1029, 840, 309, 31593, 5137, 30941, 28404, 381, 15532, 16, 9980, 541, 7358, 34863, 28029, 18, 889, 2615, 4153, 9270, 4211, 2355, 265, 20128, 289, 13659, 5363, 18, 31224, 30, 471, 677, 4675, 808, 9681, 43214, 17, 25135, 539, 41295, 16, 988, 1003, 18581, 289, 37417, 1589, 12978, 334, 25751, 16, 942, 20533, 749, 30891, 6814, 22200, 5938, 32432, 491, 18, 26, 8410, 21454, 4202, 18, 967, 803, 4162, 23082, 322, 2397, 7713, 18, 11626, 19261, 9211, 5278, 324, 282, 44460, 376, 6579, 428, 2125, 8714, 37417, 371, 30668, 2567, 13305, 18, 2877, 20533, 7131, 5167, 942, 840, 282, 5200, 5214, 16, 510, 12002, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 22200, 334, 15247, 2818, 10020, 18, 11797, 5970, 840, 1978, 798, 34773, 334, 5891, 3707, 14576, 322, 309, 2468, 13305, 16, 367, 282, 6874, 17, 21464, 1204, 547, 282, 15247, 2557, 5214, 18, 640, 1756, 15532, 4226, 2355, 265, 20128, 942, 840, 11801, 14576, 434, 44334, 16, 670, 28684, 6549, 541, 7358, 47163, 334, 14217, 13360, 22010, 651, 322, 1143, 2706, 2634, 2791, 18, 2112, 16325, 309, 2468, 16, 37417, 281, 2452, 6063, 14576, 536, 25776, 304, 4835, 6036, 13305, 1727, 5985, 14426, 282, 478, 28180, 16325, 13305, 470, 309, 8406, 26626, 1162, 16, 3703, 18, 3026, 309, 2468, 12987, 5119, 14576, 432, 4370, 267, 4929, 25356, 7970, 11446, 6702, 16, 367, 23019, 34461, 14820, 16, 6565, 1740, 19082, 309, 4347, 16, 5194, 5252, 23828, 16, 20321, 289, 39836, 290, 13305, 18, 5971, 265, 42847, 289, 571, 7900, 394, 29865, 16, 374, 475, 12755, 6146, 13805, 322, 1143, 4317, 17, 5584, 1879, 18, 2112, 978, 18100, 1510, 895, 1727, 5170, 14426, 282, 13659, 516, 10845, 349, 1341, 979, 19134, 16, 371, 803, 43368, 322, 8166, 9373, 282, 4972, 539, 22200, 16, 15961, 20590, 16, 10916, 282, 2081, 1751, 18, 608, 24963, 840, 5209, 416, 18, 26490, 5119, 14576, 432, 4370, 267, 4929, 7947, 4025, 321, 333, 3828, 16, 374, 294, 20038, 34863, 6271, 16, 329, 1639, 31190, 4957, 281, 478, 18418, 620, 16325, 13305, 910, 4370, 43453, 1747, 387, 18282, 9092, 18, 5850, 3276, 4128, 18692, 282, 6099, 360, 5280, 4510, 2223, 13305, 18, 478, 1140, 813, 43267, 7893, 17597, 5117, 18, 5161, 16, 4901, 13713, 4347, 23481, 320, 13728, 840, 23090, 360, 1949, 2634, 2791, 473, 275, 6099, 360, 26613, 814, 1012, 1999, 44334, 309, 1756, 13305, 28215, 282, 6957, 2791, 16, 367, 32247, 282, 30668, 6702, 334, 13305, 749, 23563, 6814, 22200, 376, 2197, 28453, 2791, 861, 26490, 6660, 13144, 25555, 12670, 3594, 22200, 334, 15247, 2818, 10020, 3720, 13593, 20173, 4848, 16, 374, 5273, 7794, 5500, 11840, 536, 18, 478, 22235, 1747, 3624, 8811, 10881, 450, 18819, 16, 961, 1747, 519, 262, 4171, 2666, 43214, 17, 25135, 539, 41295, 18, 26468, 41439, 484, 411, 17, 431, 924, 16, 374, 309, 1756, 13631, 14331, 450, 18819, 322, 35149, 16, 510, 2548, 23019, 18, 376, 2787, 912, 656, 49032, 339, 2874, 45226, 360, 1810, 309, 30668, 15577, 13305, 18, 459, 8811, 14888, 17624, 9324, 334, 27469, 3623, 21454, 4202, 861, 28616, 13056, 802, 46626, 1640, 7043, 14576, 432, 4370, 267, 4929, 282, 15247, 2557, 16, 453, 428, 475, 13305, 1747, 5891, 5170, 1248, 3441, 10845, 16, 2337, 3639, 668, 309, 2768, 281, 22200, 18, 26942, 824, 2856, 478, 3773, 344, 16325, 13305, 470, 329, 813, 329, 11753, 1269, 6528, 16, 376, 1109, 478, 46088, 18, 8381, 470, 10914, 755, 26878, 7067, 45721, 10872, 4551, 39274, 49054, 1175, 12055, 727, 269, 2347, 18, 376, 5454, 16, 38348, 2710, 17, 299, 39588, 1251, 13659, 17983, 289, 14714, 16325, 13305, 18, 1178, 475, 575, 34773, 840, 7744, 324, 289, 309, 11204, 678, 965, 567, 881, 1219, 305, 16, 502, 16, 2091, 16, 656, 349, 2388, 23840, 861, 15247, 328, 3164, 309, 7422, 2468, 282, 1175, 1011, 46405, 334, 20919, 8974, 309, 7683, 4186, 18, 999, 1205, 3400, 8974, 282, 3580, 21606, 309, 1760, 17, 2932, 5999, 824, 4734, 14971, 16, 5040, 7919, 8974, 282, 3580, 24908, 294, 1479, 5855, 2581, 582, 18, 889, 38211, 349, 1807, 289, 15634, 7919, 14576, 16, 289, 6591, 8750, 617, 4186, 18, 999, 1119, 282, 15247, 2557, 23936, 4164, 2364, 1156, 14576, 18, 18619, 282, 17156, 9573, 2632, 9523, 11009, 4317, 43214, 17, 25135, 432, 43211, 18, 9114, 7725, 1051, 478, 32485, 18, 8381, 470, 16170, 16, 374, 15247, 778, 3952, 26403, 2355, 265, 20128, 309, 4370, 267, 4929, 895, 13541, 289, 309, 46492, 28308, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 5421, 1119, 1011, 40483, 9362, 6365, 14943, 20828, 3854, 4770, 6370, 16640, 11661, 16, 374, 282, 10264, 808, 9637, 11608, 1747, 7083, 1954, 18, 4635, 39588, 334, 2856, 11135, 18474, 10910, 451, 13013, 20828, 3854, 289, 31980, 18, 459, 4310, 1721, 4616, 536, 281, 7071, 4735, 1134, 6043, 4151, 4770, 8123, 5978, 6555, 2768, 18, 824, 4734, 34361, 16, 9422, 17714, 9322, 10059, 4128, 349, 2948, 24562, 8347, 14600, 18, 31224, 30, 6706, 12241, 4770, 6370, 16640, 23474, 11918, 8334, 6684, 33568, 282, 31132, 1767, 16, 988, 15488, 289, 2915, 23095, 874, 9637, 11608, 16, 4813, 309, 15481, 9261, 14886, 18, 608, 1489, 478, 28180, 17, 13733, 470, 309, 2268, 27007, 47553, 441, 9297, 19521, 19267, 1624, 8231, 289, 3197, 18104, 13518, 334, 32381, 349, 3196, 496, 21939, 18, 824, 39772, 13759, 483, 8240, 15581, 28556, 309, 11776, 289, 29729, 36799, 18, 608, 1489, 16079, 455, 7288, 8845, 35609, 30, 33991, 26598, 1251, 1807, 281, 35543, 31662, 1703, 39197, 18, 365, 1078, 309, 17910, 7335, 27692, 3402, 9996, 4110, 15581, 16, 24551, 288, 7609, 14492, 334, 13795, 954, 36799, 16, 367, 8811, 727, 4395, 682, 41994, 11257, 289, 9884, 2853, 36728, 15958, 9112, 1000, 18, 2112, 27842, 9512, 6053, 16640, 5142, 5932, 2401, 447, 6379, 12946, 43675, 289, 1962, 45133, 289, 20356, 281, 4391, 2661, 45172, 10247, 16, 3143, 2339, 3455, 282, 14611, 292, 478, 28180, 17, 13733, 861, 10110, 2780, 281, 924, 16, 374, 11608, 4000, 309, 9637, 4380, 1747, 23484, 18, 478, 4348, 322, 5087, 16285, 749, 14600, 309, 23478, 18, 8859, 14600, 16, 7003, 432, 4433, 4551, 18, 832, 1851, 17, 299, 1122 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 15247, 2557, 22200, 289, 13518, 14576, 432, 4370, 267, 4929, 35670, 5482, 16325, 13305, 749, 18581, 16, 1029, 840, 309, 31593, 5137, 30941, 28404, 381, 15532, 16, 9980, 541, 7358, 34863, 28029, 18, 889, 2615, 4153, 9270, 4211, 2355, 265, 20128, 289, 13659, 5363, 18, 31224, 30, 471, 677, 4675, 808, 9681, 43214, 17, 25135, 539, 41295, 16, 988, 1003, 18581, 289, 37417, 1589, 12978, 334, 25751, 16, 942, 20533, 749, 30891, 6814, 22200, 5938, 32432, 491, 18, 26, 8410, 21454, 4202, 18, 967, 803, 4162, 23082, 322, 2397, 7713, 18, 11626, 19261, 9211, 5278, 324, 282, 44460, 376, 6579, 428, 2125, 8714, 37417, 371, 30668, 2567, 13305, 18, 2877, 20533, 7131, 5167, 942, 840, 282, 5200, 5214, 16, 510, 12002, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 22200, 334, 15247, 2818, 10020, 18, 11797, 5970, 840, 1978, 798, 34773, 334, 5891, 3707, 14576, 322, 309, 2468, 13305, 16, 367, 282, 6874, 17, 21464, 1204, 547, 282, 15247, 2557, 5214, 18, 640, 1756, 15532, 4226, 2355, 265, 20128, 942, 840, 11801, 14576, 434, 44334, 16, 670, 28684, 6549, 541, 7358, 47163, 334, 14217, 13360, 22010, 651, 322, 1143, 2706, 2634, 2791, 18, 2112, 16325, 309, 2468, 16, 37417, 281, 2452, 6063, 14576, 536, 25776, 304, 4835, 6036, 13305, 1727, 5985, 14426, 282, 478, 28180, 16325, 13305, 470, 309, 8406, 26626, 1162, 16, 3703, 18, 3026, 309, 2468, 12987, 5119, 14576, 432, 4370, 267, 4929, 25356, 7970, 11446, 6702, 16, 367, 23019, 34461, 14820, 16, 6565, 1740, 19082, 309, 4347, 16, 5194, 5252, 23828, 16, 20321, 289, 39836, 290, 13305, 18, 5971, 265, 42847, 289, 571, 7900, 394, 29865, 16, 374, 475, 12755, 6146, 13805, 322, 1143, 4317, 17, 5584, 1879, 18, 2112, 978, 18100, 1510, 895, 1727, 5170, 14426, 282, 13659, 516, 10845, 349, 1341, 979, 19134, 16, 371, 803, 43368, 322, 8166, 9373, 282, 4972, 539, 22200, 16, 15961, 20590, 16, 10916, 282, 2081, 1751, 18, 608, 24963, 840, 5209, 416, 18, 26490, 5119, 14576, 432, 4370, 267, 4929, 7947, 4025, 321, 333, 3828, 16, 374, 294, 20038, 34863, 6271, 16, 329, 1639, 31190, 4957, 281, 478, 18418, 620, 16325, 13305, 910, 4370, 43453, 1747, 387, 18282, 9092, 18, 5850, 3276, 4128, 18692, 282, 6099, 360, 5280, 4510, 2223, 13305, 18, 478, 1140, 813, 43267, 7893, 17597, 5117, 18, 5161, 16, 4901, 13713, 4347, 23481, 320, 13728, 840, 23090, 360, 1949, 2634, 2791, 473, 275, 6099, 360, 26613, 814, 1012, 1999, 44334, 309, 1756, 13305, 28215, 282, 6957, 2791, 16, 367, 32247, 282, 30668, 6702, 334, 13305, 749, 23563, 6814, 22200, 376, 2197, 28453, 2791, 861, 26490, 6660, 13144, 25555, 12670, 3594, 22200, 334, 15247, 2818, 10020, 3720, 13593, 20173, 4848, 16, 374, 5273, 7794, 5500, 11840, 536, 18, 478, 22235, 1747, 3624, 8811, 10881, 450, 18819, 16, 961, 1747, 519, 262, 4171, 2666, 43214, 17, 25135, 539, 41295, 18, 26468, 41439, 484, 411, 17, 431, 924, 16, 374, 309, 1756, 13631, 14331, 450, 18819, 322, 35149, 16, 510, 2548, 23019, 18, 376, 2787, 912, 656, 49032, 339, 2874, 45226, 360, 1810, 309, 30668, 15577, 13305, 18, 459, 8811, 14888, 17624, 9324, 334, 27469, 3623, 21454, 4202, 861, 28616, 13056, 802, 46626, 1640, 7043, 14576, 432, 4370, 267, 4929, 282, 15247, 2557, 16, 453, 428, 475, 13305, 1747, 5891, 5170, 1248, 3441, 10845, 16, 2337, 3639, 668, 309, 2768, 281, 22200, 18, 26942, 824, 2856, 478, 3773, 344, 16325, 13305, 470, 329, 813, 329, 11753, 1269, 6528, 16, 376, 1109, 478, 46088, 18, 8381, 470, 10914, 755, 26878, 7067, 45721, 10872, 4551, 39274, 49054, 1175, 12055, 727, 269, 2347, 18, 376, 5454, 16, 38348, 2710, 17, 299, 39588, 1251, 13659, 17983, 289, 14714, 16325, 13305, 18, 1178, 475, 575, 34773, 840, 7744, 324, 289, 309, 11204, 678, 965, 567, 881, 1219, 305, 16, 502, 16, 2091, 16, 656, 349, 2388, 23840, 861, 15247, 328, 3164, 309, 7422, 2468, 282, 1175, 1011, 46405, 334, 20919, 8974, 309, 7683, 4186, 18, 999, 1205, 3400, 8974, 282, 3580, 21606, 309, 1760, 17, 2932, 5999, 824, 4734, 14971, 16, 5040, 7919, 8974, 282, 3580, 24908, 294, 1479, 5855, 2581, 582, 18, 889, 38211, 349, 1807, 289, 15634, 7919, 14576, 16, 289, 6591, 8750, 617, 4186, 18, 999, 1119, 282, 15247, 2557, 23936, 4164, 2364, 1156, 14576, 18, 18619, 282, 17156, 9573, 2632, 9523, 11009, 4317, 43214, 17, 25135, 432, 43211, 18, 9114, 7725, 1051, 478, 32485, 18, 8381, 470, 16170, 16, 374, 15247, 778, 3952, 26403, 2355, 265, 20128, 309, 4370, 267, 4929, 895, 13541, 289, 309, 46492, 28308, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 5421, 1119, 1011, 40483, 9362, 6365, 14943, 20828, 3854, 4770, 6370, 16640, 11661, 16, 374, 282, 10264, 808, 9637, 11608, 1747, 7083, 1954, 18, 4635, 39588, 334, 2856, 11135, 18474, 10910, 451, 13013, 20828, 3854, 289, 31980, 18, 459, 4310, 1721, 4616, 536, 281, 7071, 4735, 1134, 6043, 4151, 4770, 8123, 5978, 6555, 2768, 18, 824, 4734, 34361, 16, 9422, 17714, 9322, 10059, 4128, 349, 2948, 24562, 8347, 14600, 18, 31224, 30, 6706, 12241, 4770, 6370, 16640, 23474, 11918, 8334, 6684, 33568, 282, 31132, 1767, 16, 988, 15488, 289, 2915, 23095, 874, 9637, 11608, 16, 4813, 309, 15481, 9261, 14886, 18, 608, 1489, 478, 28180, 17, 13733, 470, 309, 2268, 27007, 47553, 441, 9297, 19521, 19267, 1624, 8231, 289, 3197, 18104, 13518, 334, 32381, 349, 3196, 496, 21939, 18, 824, 39772, 13759, 483, 8240, 15581, 28556, 309, 11776, 289, 29729, 36799, 18, 608, 1489, 16079, 455, 7288, 8845, 35609, 30, 33991, 26598, 1251, 1807, 281, 35543, 31662, 1703, 39197, 18, 365, 1078, 309, 17910, 7335, 27692, 3402, 9996, 4110, 15581, 16, 24551, 288, 7609, 14492, 334, 13795, 954, 36799, 16, 367, 8811, 727, 4395, 682, 41994, 11257, 289, 9884, 2853, 36728, 15958, 9112, 1000, 18, 2112, 27842, 9512, 6053, 16640, 5142, 5932, 2401, 447, 6379, 12946, 43675, 289, 1962, 45133, 289, 20356, 281, 4391, 2661, 45172, 10247, 16, 3143, 2339, 3455, 282, 14611, 292, 478, 28180, 17, 13733, 861, 10110, 2780, 281, 924, 16, 374, 11608, 4000, 309, 9637, 4380, 1747, 23484, 18, 478, 4348, 322, 5087, 16285, 749, 14600, 309, 23478, 18, 8859, 14600, 16, 7003, 432, 4433, 4551, 18, 832, 1851, 17, 299, 1122 ]
[ 478, 26604, 16875, 8193, 910, 367, 1717, 4433, 4551, 510, 939, 22128, 2553, 16, 19005, 17916, 6897, 39661, 16, 9361, 2545, 8711, 536, 11214, 18, 2876, 329, 813, 16, 428, 481, 16, 895, 953, 16, 537, 19610, 541, 10059, 16, 1494, 1747, 939, 12023, 11608, 309, 43096, 7225, 289, 3623, 910, 510, 1109, 16640, 18, 16640, 12679, 281, 2184, 29582, 309, 5421, 1119, 1011, 40483, 11350, 17, 2589, 6365, 6096, 20828, 3854, 1624, 1029, 685, 7265, 1479, 24387, 12917, 334, 35289, 9322, 10059, 18, 824, 3163, 20828, 3854, 16, 12731, 6728, 11608, 309, 9637, 4380, 282, 1939, 34278, 282, 3178, 24083, 5544, 986, 10906, 5088, 696, 758, 541, 10059, 18, 28186, 9817, 17, 295, 13093, 15796, 6589, 16009, 10948, 4210, 29780, 12017, 778, 3973, 16, 374, 322, 15349, 6641, 382, 478, 563, 4649, 289, 4729, 14886, 910, 961, 322, 24182, 282, 16054, 46734, 21012, 18, 478, 26960, 5902, 14368, 411, 4095, 1801, 16, 289, 13653, 16, 289, 12959, 16, 3891, 25108, 467, 322, 687, 16020, 21680, 3056, 16, 515, 289, 1087, 10614, 3793, 16, 961, 6881, 16, 374, 2764, 22597, 1886, 322, 282, 1110, 4982, 1408, 18, 5093, 16, 2091, 16, 13254, 16, 2319, 22359, 2764, 16, 428, 48447, 1783, 548, 16, 282, 970, 2875, 17023, 6365, 2993, 13254, 18, 1345, 322, 5087, 322, 13254, 910, 510, 2715, 6311, 3033, 16640, 18, 824, 3163, 31980, 16, 10924, 16020, 3402, 16, 8343, 2906, 282, 10695, 2431, 4433, 4257, 18, 478, 6161, 373, 656, 898, 28071, 670, 827, 373, 2874, 27692, 3402, 16077, 751, 16, 428, 3891, 924, 7187, 6911, 3402, 428, 3960, 2553, 16, 453, 289, 14815, 16, 3662, 4000, 726, 373, 322, 21787, 910, 510, 4725, 4770, 18, 4541, 16640, 764, 445, 9299, 16, 374, 9637, 11608, 1747, 14583, 18, 478, 1358, 16, 428, 15810, 451, 27624, 4990, 16, 289, 3534, 14703, 1494, 3984, 10916, 309, 970, 16, 374, 11608, 309, 23478, 16, 309, 6584, 20319, 16, 309, 3094, 17780, 2685, 2118, 541, 18133, 16, 309, 697, 23714, 13993, 16, 309, 697, 7428, 1747, 34662, 16146, 304, 3416, 4000, 18, 459, 434, 953, 322, 895, 18, 439, 1085, 281, 2184, 322, 12557, 16, 4410, 4452, 282, 4413, 2468, 18, 889, 5249, 659, 910, 510, 9299, 4770, 18, 10110, 1038, 25225, 289, 1888, 6528, 16, 11940, 281, 20198, 18, 365, 4810, 16, 492, 4725, 16, 374, 5630, 31827, 334, 47218, 840, 7083, 1954, 18, 478, 677, 15614, 20545, 16, 417, 282, 803, 5773, 3893, 16, 14702, 20194, 289, 33313, 840, 2753, 798, 322, 3272, 4489, 353, 4900, 39876, 289, 935, 322, 4075, 353, 15555, 27624, 5084, 16, 367, 45207, 6929, 18, 1345, 294, 1420, 371, 2445, 18, 385, 9752, 16, 2091, 16, 289, 3338, 14412, 11548, 16, 1548, 374, 656, 322, 5087, 11389, 1051, 4292, 2253, 309, 9324, 16, 322, 5186, 275, 773, 12694, 17474, 2644, 910, 510, 1109, 16640, 18, 4756, 32872, 13342, 5630, 31827, 334, 47218, 349, 5270, 986, 282, 1272, 281, 16401, 4570, 16, 281, 28986, 21268, 2634, 519, 1032, 4691, 2634, 294, 9747, 7847, 779, 18, 3791, 4770, 8566, 478, 6952, 416, 289, 29054, 4861, 2206, 470, 3574, 10367, 9362, 7225, 16, 5938, 5076, 2401, 447, 6519, 20320, 12486, 1195, 4622, 382, 294, 790, 332, 554, 16, 13054, 6245, 38421, 21941, 282, 1293, 445, 18, 478, 21111, 3574, 1139, 12436, 905, 6138, 3094, 9406, 2685, 2370, 16, 3404, 722, 8820, 416, 16, 309, 16651, 5066, 910, 510, 4725, 16640, 18, 10110, 26765, 22246, 6138, 25883, 19583, 7779, 486, 16, 309, 2588, 6330, 41224, 27692, 3402, 18, 478, 1140, 703, 16, 8602, 4538, 16, 685, 20374, 12258, 16, 374, 656, 14156, 29441, 37092, 3596, 3774, 16495, 349, 2948, 6066, 4486, 7257, 16, 867, 1033, 374, 15713, 3596, 2794, 904, 282, 3338, 16521, 10719, 2397, 3465, 3675, 5901, 18, 740, 25079, 13518, 9452, 282, 4413, 510, 282, 50114, 9275, 23506, 910, 510, 15875, 31980, 478, 15210, 861, 10110, 4725, 16, 374, 9307, 1247, 23563, 13840, 4076, 541, 15557, 294, 25883, 19583, 7779, 877, 16, 515, 481, 6439, 9258, 2749, 18, 478, 6161, 334, 17, 22648, 14073, 294, 2856, 18002, 16, 502, 5042, 942, 2048, 1176, 30, 827, 656, 11843, 4417, 4940, 5275, 448, 27692, 3402, 16, 745, 2125, 6908, 11424, 38275, 16, 367, 322, 828, 17, 299, 4310, 16, 2391, 9763, 16, 374, 481, 309, 4356, 16, 935, 827, 481, 2353, 13225, 770, 4135, 910, 510, 4725, 16640, 18, 37729, 16986, 34902, 37382, 11806, 289, 36101, 2514, 18604, 2682, 10261, 10611, 809, 884, 5273, 16, 374, 15634, 6684, 14600, 895, 18815, 349, 2948, 24562, 8347, 6272, 289, 5917, 360, 13313, 42488, 38305, 2087, 18, 478, 6161, 7072, 309, 11460, 322, 3524, 14817, 4803, 4843, 10590, 349, 26650, 16, 502, 15634, 6684, 14600, 2628, 16, 515, 281, 6525, 18, 967, 803, 11608, 309, 8447, 289, 49090, 468, 1655, 4128, 5009, 4138, 16, 4758, 3427, 1003, 910, 510, 11792, 10611, 809, 884, 18, 824, 3163, 34361, 16, 27698, 15706, 7179, 10059, 47103, 16, 371, 803, 7064, 282, 10264, 808, 840, 5458, 1569, 8197, 9501, 668, 38008, 597, 18, 478, 4670, 17472, 942, 12599, 281, 29290, 4735, 1134, 18, 740, 827, 988, 17, 299, 43024, 16, 988, 17, 299, 2003, 840, 25601, 18, 996, 374, 1247, 282, 10811, 910, 510, 16926, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 1098, 18920, 778, 478, 31742, 300, 470, 282, 43141, 28220, 7638, 17, 38915, 29511, 8260, 33513, 1642, 478, 41731, 504, 620, 21211, 910, 282, 5271, 2024, 1595, 7504, 774, 282, 12013, 17363, 11350, 17, 915, 12954, 18164, 478, 49065, 470, 15330, 1278, 339, 2106, 607, 18, 478, 21037, 2274, 40227, 470, 282, 25857, 25469, 478, 41731, 28504, 597, 910, 367, 478, 1605, 551, 2467, 470, 3911, 542, 287, 504, 7014, 1123, 1428, 401, 16480, 48372, 281, 478, 1182, 2679, 40595, 4019, 861, 31224, 30, 4408, 2004, 368, 1251, 478, 31538, 29238, 470, 289, 478, 36796, 910, 1283, 27780, 27596, 3676, 7638, 17, 38915, 16, 24463, 2754, 289, 18379, 9691, 395, 42905, 2299, 18, 1591, 1209, 12496, 1165, 13521, 906, 309, 2456, 12896, 5066, 16, 367, 774, 276, 7739, 4151, 581, 2919, 281, 16510, 6525, 18, 12824, 411, 3322, 20063, 16287, 685, 30639, 309, 478, 1605, 353, 1532, 19495, 470, 1624, 988, 478, 31742, 300, 470, 13694, 478, 41731, 504, 620, 2882, 861, 38232, 17, 915, 12954, 478, 25626, 470, 4944, 1870, 669, 2106, 10021, 271, 11350, 17, 324, 6372, 10650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26604, 16875, 8193, 910, 367, 1717, 4433, 4551, 510, 939, 22128, 2553, 16, 19005, 17916, 6897, 39661, 16, 9361, 2545, 8711, 536, 11214, 18, 2876, 329, 813, 16, 428, 481, 16, 895, 953, 16, 537, 19610, 541, 10059, 16, 1494, 1747, 939, 12023, 11608, 309, 43096, 7225, 289, 3623, 910, 510, 1109, 16640, 18, 16640, 12679, 281, 2184, 29582, 309, 5421, 1119, 1011, 40483, 11350, 17, 2589, 6365, 6096, 20828, 3854, 1624, 1029, 685, 7265, 1479, 24387, 12917, 334, 35289, 9322, 10059, 18, 824, 3163, 20828, 3854, 16, 12731, 6728, 11608, 309, 9637, 4380, 282, 1939, 34278, 282, 3178, 24083, 5544, 986, 10906, 5088, 696, 758, 541, 10059, 18, 28186, 9817, 17, 295, 13093, 15796, 6589, 16009, 10948, 4210, 29780, 12017, 778, 3973, 16, 374, 322, 15349, 6641, 382, 478, 563, 4649, 289, 4729, 14886, 910, 961, 322, 24182, 282, 16054, 46734, 21012, 18, 478, 26960, 5902, 14368, 411, 4095, 1801, 16, 289, 13653, 16, 289, 12959, 16, 3891, 25108, 467, 322, 687, 16020, 21680, 3056, 16, 515, 289, 1087, 10614, 3793, 16, 961, 6881, 16, 374, 2764, 22597, 1886, 322, 282, 1110, 4982, 1408, 18, 5093, 16, 2091, 16, 13254, 16, 2319, 22359, 2764, 16, 428, 48447, 1783, 548, 16, 282, 970, 2875, 17023, 6365, 2993, 13254, 18, 1345, 322, 5087, 322, 13254, 910, 510, 2715, 6311, 3033, 16640, 18, 824, 3163, 31980, 16, 10924, 16020, 3402, 16, 8343, 2906, 282, 10695, 2431, 4433, 4257, 18, 478, 6161, 373, 656, 898, 28071, 670, 827, 373, 2874, 27692, 3402, 16077, 751, 16, 428, 3891, 924, 7187, 6911, 3402, 428, 3960, 2553, 16, 453, 289, 14815, 16, 3662, 4000, 726, 373, 322, 21787, 910, 510, 4725, 4770, 18, 4541, 16640, 764, 445, 9299, 16, 374, 9637, 11608, 1747, 14583, 18, 478, 1358, 16, 428, 15810, 451, 27624, 4990, 16, 289, 3534, 14703, 1494, 3984, 10916, 309, 970, 16, 374, 11608, 309, 23478, 16, 309, 6584, 20319, 16, 309, 3094, 17780, 2685, 2118, 541, 18133, 16, 309, 697, 23714, 13993, 16, 309, 697, 7428, 1747, 34662, 16146, 304, 3416, 4000, 18, 459, 434, 953, 322, 895, 18, 439, 1085, 281, 2184, 322, 12557, 16, 4410, 4452, 282, 4413, 2468, 18, 889, 5249, 659, 910, 510, 9299, 4770, 18, 10110, 1038, 25225, 289, 1888, 6528, 16, 11940, 281, 20198, 18, 365, 4810, 16, 492, 4725, 16, 374, 5630, 31827, 334, 47218, 840, 7083, 1954, 18, 478, 677, 15614, 20545, 16, 417, 282, 803, 5773, 3893, 16, 14702, 20194, 289, 33313, 840, 2753, 798, 322, 3272, 4489, 353, 4900, 39876, 289, 935, 322, 4075, 353, 15555, 27624, 5084, 16, 367, 45207, 6929, 18, 1345, 294, 1420, 371, 2445, 18, 385, 9752, 16, 2091, 16, 289, 3338, 14412, 11548, 16, 1548, 374, 656, 322, 5087, 11389, 1051, 4292, 2253, 309, 9324, 16, 322, 5186, 275, 773, 12694, 17474, 2644, 910, 510, 1109, 16640, 18, 4756, 32872, 13342, 5630, 31827, 334, 47218, 349, 5270, 986, 282, 1272, 281, 16401, 4570, 16, 281, 28986, 21268, 2634, 519, 1032, 4691, 2634, 294, 9747, 7847, 779, 18, 3791, 4770, 8566, 478, 6952, 416, 289, 29054, 4861, 2206, 470, 3574, 10367, 9362, 7225, 16, 5938, 5076, 2401, 447, 6519, 20320, 12486, 1195, 4622, 382, 294, 790, 332, 554, 16, 13054, 6245, 38421, 21941, 282, 1293, 445, 18, 478, 21111, 3574, 1139, 12436, 905, 6138, 3094, 9406, 2685, 2370, 16, 3404, 722, 8820, 416, 16, 309, 16651, 5066, 910, 510, 4725, 16640, 18, 10110, 26765, 22246, 6138, 25883, 19583, 7779, 486, 16, 309, 2588, 6330, 41224, 27692, 3402, 18, 478, 1140, 703, 16, 8602, 4538, 16, 685, 20374, 12258, 16, 374, 656, 14156, 29441, 37092, 3596, 3774, 16495, 349, 2948, 6066, 4486, 7257, 16, 867, 1033, 374, 15713, 3596, 2794, 904, 282, 3338, 16521, 10719, 2397, 3465, 3675, 5901, 18, 740, 25079, 13518, 9452, 282, 4413, 510, 282, 50114, 9275, 23506, 910, 510, 15875, 31980, 478, 15210, 861, 10110, 4725, 16, 374, 9307, 1247, 23563, 13840, 4076, 541, 15557, 294, 25883, 19583, 7779, 877, 16, 515, 481, 6439, 9258, 2749, 18, 478, 6161, 334, 17, 22648, 14073, 294, 2856, 18002, 16, 502, 5042, 942, 2048, 1176, 30, 827, 656, 11843, 4417, 4940, 5275, 448, 27692, 3402, 16, 745, 2125, 6908, 11424, 38275, 16, 367, 322, 828, 17, 299, 4310, 16, 2391, 9763, 16, 374, 481, 309, 4356, 16, 935, 827, 481, 2353, 13225, 770, 4135, 910, 510, 4725, 16640, 18, 37729, 16986, 34902, 37382, 11806, 289, 36101, 2514, 18604, 2682, 10261, 10611, 809, 884, 5273, 16, 374, 15634, 6684, 14600, 895, 18815, 349, 2948, 24562, 8347, 6272, 289, 5917, 360, 13313, 42488, 38305, 2087, 18, 478, 6161, 7072, 309, 11460, 322, 3524, 14817, 4803, 4843, 10590, 349, 26650, 16, 502, 15634, 6684, 14600, 2628, 16, 515, 281, 6525, 18, 967, 803, 11608, 309, 8447, 289, 49090, 468, 1655, 4128, 5009, 4138, 16, 4758, 3427, 1003, 910, 510, 11792, 10611, 809, 884, 18, 824, 3163, 34361, 16, 27698, 15706, 7179, 10059, 47103, 16, 371, 803, 7064, 282, 10264, 808, 840, 5458, 1569, 8197, 9501, 668, 38008, 597, 18, 478, 4670, 17472, 942, 12599, 281, 29290, 4735, 1134, 18, 740, 827, 988, 17, 299, 43024, 16, 988, 17, 299, 2003, 840, 25601, 18, 996, 374, 1247, 282, 10811, 910, 510, 16926, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 1098, 18920, 778, 478, 31742, 300, 470, 282, 43141, 28220, 7638, 17, 38915, 29511, 8260, 33513, 1642, 478, 41731, 504, 620, 21211, 910, 282, 5271, 2024, 1595, 7504, 774, 282, 12013, 17363, 11350, 17, 915, 12954, 18164, 478, 49065, 470, 15330, 1278, 339, 2106, 607, 18, 478, 21037, 2274, 40227, 470, 282, 25857, 25469, 478, 41731, 28504, 597, 910, 367, 478, 1605, 551, 2467, 470, 3911, 542, 287, 504, 7014, 1123, 1428, 401, 16480, 48372, 281, 478, 1182, 2679, 40595, 4019, 861, 31224, 30, 4408, 2004, 368, 1251, 478, 31538, 29238, 470, 289, 478, 36796, 910, 1283, 27780, 27596, 3676, 7638, 17, 38915, 16, 24463, 2754, 289, 18379, 9691, 395, 42905, 2299, 18, 1591, 1209, 12496, 1165, 13521, 906, 309, 2456, 12896, 5066, 16, 367, 774, 276, 7739, 4151, 581, 2919, 281, 16510, 6525, 18, 12824, 411, 3322, 20063, 16287, 685, 30639, 309, 478, 1605, 353, 1532, 19495, 470, 1624, 988, 478, 31742, 300, 470, 13694, 478, 41731, 504, 620, 2882, 861, 38232, 17, 915, 12954, 478, 25626, 470, 4944, 1870, 669, 2106, 10021, 271, 11350, 17, 324, 6372, 10650 ]
[ 478, 49065, 470, 8027, 4276, 1278, 339, 2106, 607, 18, 403, 15695, 16, 5826, 36766, 726, 334, 1272, 4570, 7926, 925, 8999, 1634, 32737, 18, 1870, 669, 2106, 757, 7625, 1507, 1595, 12968, 22009, 2948, 726, 282, 3998, 5790, 16, 785, 11346, 7229, 396, 15796, 281, 16208, 486, 16, 515, 5335, 12097, 45059, 282, 33973, 877, 16, 428, 5962, 309, 965, 35627, 7889, 289, 9357, 451, 5335, 18952, 5539, 18, 832, 795, 413, 35, 5454, 16, 2686, 282, 3227, 669, 2545, 12159, 478, 31742, 1918, 470, 3857, 1660, 17, 299, 322, 9929, 16, 428, 13391, 16, 29260, 12017, 1527, 478, 8595, 2624, 302, 2105, 700, 470, 2458, 475, 5511, 26387, 959, 326, 329, 7889, 28327, 22735, 4579, 597, 750, 18, 439, 40852, 774, 34544, 322, 4618, 11126, 16, 753, 8714, 42099, 695, 18, 365, 6031, 282, 5462, 582, 3298, 429, 492, 282, 1360, 36725, 29603, 1278, 339, 2106, 607, 18, 2681, 1215, 2287, 17, 9150, 879, 26060, 504, 13389, 21001, 322, 2564, 16, 1196, 743, 2770, 11773, 331, 3214, 289, 1721, 6009, 18, 640, 23511, 4966, 14416, 16, 453, 289, 322, 30595, 2948, 16, 367, 281, 5606, 1879, 6740, 3298, 429, 478, 41731, 504, 620, 2882, 470, 2780, 22562, 309, 20550, 17701, 2319, 1033, 22940, 11440, 18, 2667, 10592, 519, 1612, 42080, 43900, 478, 343, 315, 307, 483, 470, 49275, 7646, 11573, 1166, 16, 2686, 309, 17530, 17, 295, 20537, 23740, 873, 478, 31742, 455, 470, 4686, 428, 45483, 1453, 25829, 349, 2972, 304, 334, 16208, 877, 1467, 320, 3372, 16404, 367, 16, 367, 971, 1745, 322, 2349, 13243, 1278, 339, 2106, 607, 16, 1029, 22850, 411, 17, 431, 19136, 30556, 289, 2076, 2345, 396, 15796, 22691, 18, 22358, 11216, 282, 12013, 33001, 9560, 6287, 25307, 478, 41731, 504, 620, 7876, 861, 5890, 1248, 5728, 2948, 32644, 364, 327, 925, 295, 778, 25236, 11537, 267, 576, 768, 2025, 16, 40921, 17192, 282, 13757, 883, 6421, 3227, 460, 1779, 281, 11267, 2972, 18, 19619, 16789, 349, 1177, 774, 309, 965, 1943, 4693, 4579, 597, 542, 16, 5505, 400, 1779, 282, 13757, 883, 6421, 16, 581, 764, 289, 1011, 1702, 405, 301, 871, 360, 505, 4170, 18, 2046, 309, 803, 19966, 541, 5194, 307, 2339, 478, 1605, 353, 1532, 19495, 470, 25467, 322, 21411, 18, 4852, 1939, 1879, 1011, 37253, 5835, 394, 46459, 16404, 16, 1029, 10271, 5077, 24362, 8999, 17701, 1011, 10376, 26351, 354, 18, 13564, 526, 17878, 287, 6928, 312, 7006, 520, 8776, 5085, 28654, 478, 343, 315, 307, 483, 470, 289, 19860, 798, 18658, 665, 18, 478, 31742, 300, 470, 35150, 7015, 13270, 282, 12013, 289, 322, 2564, 39164, 360, 2462, 324, 2822, 505, 478, 31538, 29238, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 31742, 300, 470, 510, 478, 41731, 504, 620, 2882, 861, 478, 21037, 2274, 40227, 470, 35111, 4104, 623, 6235, 1230, 3729, 282, 44155, 14109, 309, 478, 618, 293, 2467, 35605, 861, 478, 41731, 28504, 597, 910, 282, 1029, 5264, 30148, 277, 42143, 16, 33621, 639, 18015, 16, 367, 1548, 478, 277, 3273, 3642, 873, 470, 1833, 575, 17409, 414, 478, 301, 1369, 2381, 470, 13375, 289, 322, 34463, 2319, 1033, 21616, 35711, 48140, 21755, 29483, 1617, 10544, 5366, 18, 365, 6031, 537, 439, 264, 1368, 586, 869, 268, 1624, 537, 13681, 22114, 41819, 1624, 537, 15330, 5455, 610, 16, 537, 5971, 1637, 504, 4013, 271, 453, 1329, 38031, 567, 4606, 4912, 27837, 528, 3854, 289, 322, 16590, 18, 439, 1215, 478, 41731, 768, 5830, 470, 1595, 9700, 7243, 1475, 510, 40921, 17192, 3121, 1011, 17696, 37073, 346, 2581, 811, 30605, 273, 28995, 278, 356, 268, 18, 985, 537, 19785, 4446, 16, 15831, 649, 1907, 37358, 773, 322, 3225, 18, 18340, 857, 3003, 10467, 10399, 324, 293, 513, 27328, 35111, 4104, 623, 6235, 1472, 309, 6459, 17, 295, 20537, 5790, 16, 27939, 374, 5455, 610, 10133, 7609, 6993, 45856, 1151, 18, 24295, 39914, 9972, 1462, 3250, 965, 24924, 322, 2564, 16, 3136, 367, 478, 277, 3273, 3642, 873, 470, 10313, 4667, 4698, 8955, 282, 11258, 16, 374, 16, 9705, 16, 322, 24065, 773, 7631, 411, 10580, 25421, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 41731, 768, 5830, 470, 510, 478, 21037, 2274, 40227, 861, 3911, 542, 269, 504, 7014, 1123, 42079, 4223, 309, 4577, 309, 24502, 17, 295, 20537, 282, 8267, 1728, 478, 1605, 551, 5097, 470, 281, 478, 1182, 2679, 40595, 4019, 861, 18206, 22588, 3136, 23642, 537, 19090, 18, 832, 7737, 45822, 5466, 8999, 702, 2803, 289, 478, 983, 1395, 3841, 36494, 470, 281, 478, 1140, 265, 1709, 304, 861, 967, 803, 15014, 282, 5462, 582, 7977, 6933, 282, 24163, 1207, 1011, 13344, 355, 1081, 19941, 354, 403, 27715, 486, 5409, 280, 7671, 424, 27430, 955, 6258, 299, 18, 2877, 10099, 1100, 478, 983, 1395, 47464, 2749, 470, 4128, 13446, 41716, 12783, 1360, 5689, 1166, 7167, 18, 12824, 2384, 1313, 1373, 1743, 4726, 322, 3953, 9197, 18, 478, 49431, 10595, 470, 289, 478, 23739, 868, 16929, 470, 20908, 7623, 1421, 271, 3327, 309, 478, 29405, 15763, 476, 861, 35832, 16337, 15014, 16, 6177, 16, 1177, 774, 282, 317, 1501, 282, 5705, 350, 7646, 16, 961, 1841, 10573, 4110, 294, 17771, 344, 16, 35628, 26581, 733, 11096, 7889, 18, 824, 697, 4734, 16, 520, 551, 10595, 873, 2700, 6563, 5210, 44986, 3993, 18, 4800, 685, 3882, 759, 363, 16, 9705, 16, 3215, 2156, 4446, 8782, 844, 751, 510, 281, 37811, 46459, 8920, 987, 504, 645, 18, 365, 3998, 2992, 11678, 5790, 1500, 575, 504, 645, 23009, 478, 1477, 432, 4620, 291, 470, 4024, 16, 17192, 3121, 282, 38716, 2076, 14711, 47702, 1742, 33583, 18, 10105, 478, 8719, 758, 470, 29847, 332, 20889, 19449, 14248, 16, 2686, 1373, 2159, 3702, 1109, 25856, 1467, 320, 287, 3310, 1624, 3221, 465, 1779, 2948, 282, 8151, 6740, 3298, 429, 18, 18206, 453, 289, 22588, 48372, 16, 1830, 309, 7426, 44345, 478, 49431, 10595, 470, 16829, 19957, 1475, 8999, 478, 23739, 868, 47297, 861, 478, 983, 271, 4194, 3418, 268, 470, 4296, 282, 20545, 282, 9888, 32136, 35107, 281, 478, 983, 271, 4194, 864, 1683, 470, 1011, 7547, 317, 1869, 21141, 36910, 1624, 3121, 31053, 650, 2822, 11216, 4453, 774, 34544, 272, 16, 367, 4524, 1626, 2822, 282, 8999, 18, 478, 15229, 347, 17713, 470, 8782, 844, 751, 567, 2992, 11053, 5790, 1011, 281, 10358, 37853, 289, 43941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 49065, 470, 8027, 4276, 1278, 339, 2106, 607, 18, 403, 15695, 16, 5826, 36766, 726, 334, 1272, 4570, 7926, 925, 8999, 1634, 32737, 18, 1870, 669, 2106, 757, 7625, 1507, 1595, 12968, 22009, 2948, 726, 282, 3998, 5790, 16, 785, 11346, 7229, 396, 15796, 281, 16208, 486, 16, 515, 5335, 12097, 45059, 282, 33973, 877, 16, 428, 5962, 309, 965, 35627, 7889, 289, 9357, 451, 5335, 18952, 5539, 18, 832, 795, 413, 35, 5454, 16, 2686, 282, 3227, 669, 2545, 12159, 478, 31742, 1918, 470, 3857, 1660, 17, 299, 322, 9929, 16, 428, 13391, 16, 29260, 12017, 1527, 478, 8595, 2624, 302, 2105, 700, 470, 2458, 475, 5511, 26387, 959, 326, 329, 7889, 28327, 22735, 4579, 597, 750, 18, 439, 40852, 774, 34544, 322, 4618, 11126, 16, 753, 8714, 42099, 695, 18, 365, 6031, 282, 5462, 582, 3298, 429, 492, 282, 1360, 36725, 29603, 1278, 339, 2106, 607, 18, 2681, 1215, 2287, 17, 9150, 879, 26060, 504, 13389, 21001, 322, 2564, 16, 1196, 743, 2770, 11773, 331, 3214, 289, 1721, 6009, 18, 640, 23511, 4966, 14416, 16, 453, 289, 322, 30595, 2948, 16, 367, 281, 5606, 1879, 6740, 3298, 429, 478, 41731, 504, 620, 2882, 470, 2780, 22562, 309, 20550, 17701, 2319, 1033, 22940, 11440, 18, 2667, 10592, 519, 1612, 42080, 43900, 478, 343, 315, 307, 483, 470, 49275, 7646, 11573, 1166, 16, 2686, 309, 17530, 17, 295, 20537, 23740, 873, 478, 31742, 455, 470, 4686, 428, 45483, 1453, 25829, 349, 2972, 304, 334, 16208, 877, 1467, 320, 3372, 16404, 367, 16, 367, 971, 1745, 322, 2349, 13243, 1278, 339, 2106, 607, 16, 1029, 22850, 411, 17, 431, 19136, 30556, 289, 2076, 2345, 396, 15796, 22691, 18, 22358, 11216, 282, 12013, 33001, 9560, 6287, 25307, 478, 41731, 504, 620, 7876, 861, 5890, 1248, 5728, 2948, 32644, 364, 327, 925, 295, 778, 25236, 11537, 267, 576, 768, 2025, 16, 40921, 17192, 282, 13757, 883, 6421, 3227, 460, 1779, 281, 11267, 2972, 18, 19619, 16789, 349, 1177, 774, 309, 965, 1943, 4693, 4579, 597, 542, 16, 5505, 400, 1779, 282, 13757, 883, 6421, 16, 581, 764, 289, 1011, 1702, 405, 301, 871, 360, 505, 4170, 18, 2046, 309, 803, 19966, 541, 5194, 307, 2339, 478, 1605, 353, 1532, 19495, 470, 25467, 322, 21411, 18, 4852, 1939, 1879, 1011, 37253, 5835, 394, 46459, 16404, 16, 1029, 10271, 5077, 24362, 8999, 17701, 1011, 10376, 26351, 354, 18, 13564, 526, 17878, 287, 6928, 312, 7006, 520, 8776, 5085, 28654, 478, 343, 315, 307, 483, 470, 289, 19860, 798, 18658, 665, 18, 478, 31742, 300, 470, 35150, 7015, 13270, 282, 12013, 289, 322, 2564, 39164, 360, 2462, 324, 2822, 505, 478, 31538, 29238, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 31742, 300, 470, 510, 478, 41731, 504, 620, 2882, 861, 478, 21037, 2274, 40227, 470, 35111, 4104, 623, 6235, 1230, 3729, 282, 44155, 14109, 309, 478, 618, 293, 2467, 35605, 861, 478, 41731, 28504, 597, 910, 282, 1029, 5264, 30148, 277, 42143, 16, 33621, 639, 18015, 16, 367, 1548, 478, 277, 3273, 3642, 873, 470, 1833, 575, 17409, 414, 478, 301, 1369, 2381, 470, 13375, 289, 322, 34463, 2319, 1033, 21616, 35711, 48140, 21755, 29483, 1617, 10544, 5366, 18, 365, 6031, 537, 439, 264, 1368, 586, 869, 268, 1624, 537, 13681, 22114, 41819, 1624, 537, 15330, 5455, 610, 16, 537, 5971, 1637, 504, 4013, 271, 453, 1329, 38031, 567, 4606, 4912, 27837, 528, 3854, 289, 322, 16590, 18, 439, 1215, 478, 41731, 768, 5830, 470, 1595, 9700, 7243, 1475, 510, 40921, 17192, 3121, 1011, 17696, 37073, 346, 2581, 811, 30605, 273, 28995, 278, 356, 268, 18, 985, 537, 19785, 4446, 16, 15831, 649, 1907, 37358, 773, 322, 3225, 18, 18340, 857, 3003, 10467, 10399, 324, 293, 513, 27328, 35111, 4104, 623, 6235, 1472, 309, 6459, 17, 295, 20537, 5790, 16, 27939, 374, 5455, 610, 10133, 7609, 6993, 45856, 1151, 18, 24295, 39914, 9972, 1462, 3250, 965, 24924, 322, 2564, 16, 3136, 367, 478, 277, 3273, 3642, 873, 470, 10313, 4667, 4698, 8955, 282, 11258, 16, 374, 16, 9705, 16, 322, 24065, 773, 7631, 411, 10580, 25421, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 41731, 768, 5830, 470, 510, 478, 21037, 2274, 40227, 861, 3911, 542, 269, 504, 7014, 1123, 42079, 4223, 309, 4577, 309, 24502, 17, 295, 20537, 282, 8267, 1728, 478, 1605, 551, 5097, 470, 281, 478, 1182, 2679, 40595, 4019, 861, 18206, 22588, 3136, 23642, 537, 19090, 18, 832, 7737, 45822, 5466, 8999, 702, 2803, 289, 478, 983, 1395, 3841, 36494, 470, 281, 478, 1140, 265, 1709, 304, 861, 967, 803, 15014, 282, 5462, 582, 7977, 6933, 282, 24163, 1207, 1011, 13344, 355, 1081, 19941, 354, 403, 27715, 486, 5409, 280, 7671, 424, 27430, 955, 6258, 299, 18, 2877, 10099, 1100, 478, 983, 1395, 47464, 2749, 470, 4128, 13446, 41716, 12783, 1360, 5689, 1166, 7167, 18, 12824, 2384, 1313, 1373, 1743, 4726, 322, 3953, 9197, 18, 478, 49431, 10595, 470, 289, 478, 23739, 868, 16929, 470, 20908, 7623, 1421, 271, 3327, 309, 478, 29405, 15763, 476, 861, 35832, 16337, 15014, 16, 6177, 16, 1177, 774, 282, 317, 1501, 282, 5705, 350, 7646, 16, 961, 1841, 10573, 4110, 294, 17771, 344, 16, 35628, 26581, 733, 11096, 7889, 18, 824, 697, 4734, 16, 520, 551, 10595, 873, 2700, 6563, 5210, 44986, 3993, 18, 4800, 685, 3882, 759, 363, 16, 9705, 16, 3215, 2156, 4446, 8782, 844, 751, 510, 281, 37811, 46459, 8920, 987, 504, 645, 18, 365, 3998, 2992, 11678, 5790, 1500, 575, 504, 645, 23009, 478, 1477, 432, 4620, 291, 470, 4024, 16, 17192, 3121, 282, 38716, 2076, 14711, 47702, 1742, 33583, 18, 10105, 478, 8719, 758, 470, 29847, 332, 20889, 19449, 14248, 16, 2686, 1373, 2159, 3702, 1109, 25856, 1467, 320, 287, 3310, 1624, 3221, 465, 1779, 2948, 282, 8151, 6740, 3298, 429, 18, 18206, 453, 289, 22588, 48372, 16, 1830, 309, 7426, 44345, 478, 49431, 10595, 470, 16829, 19957, 1475, 8999, 478, 23739, 868, 47297, 861, 478, 983, 271, 4194, 3418, 268, 470, 4296, 282, 20545, 282, 9888, 32136, 35107, 281, 478, 983, 271, 4194, 864, 1683, 470, 1011, 7547, 317, 1869, 21141, 36910, 1624, 3121, 31053, 650, 2822, 11216, 4453, 774, 34544, 272, 16, 367, 4524, 1626, 2822, 282, 8999, 18, 478, 15229, 347, 17713, 470, 8782, 844, 751, 567, 2992, 11053, 5790, 1011, 281, 10358, 37853, 289, 43941 ]
[ 10687, 282, 32386, 41311, 6421, 34620, 727, 8632, 293, 507, 16, 2686, 309, 14515, 3116, 6063, 20537, 47452, 266, 625, 788, 2467, 40921, 17192, 281, 5625, 36725, 5568, 25107, 8955, 18, 11333, 7036, 7638, 17, 38915, 16, 14378, 18389, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 9460, 18, 2, 1, 87, 1456, 81, 2448, 30, 46255, 1615, 4872, 8123, 30025, 6814, 6431, 9246, 1552, 3018, 309, 24081, 282, 15114, 42008, 18, 1303, 11404, 282, 35557, 11755, 508, 464, 478, 630, 6233, 470, 3187, 2497, 2891, 20037, 18, 31224, 30, 9676, 823, 2497, 16872, 282, 9937, 7650, 289, 33895, 282, 39309, 16908, 309, 31974, 19048, 478, 630, 6233, 861, 985, 3014, 411, 30310, 16, 43788, 4872, 15349, 8501, 16, 1727, 4651, 309, 7794, 33710, 1387, 3320, 289, 3416, 6233, 16, 515, 281, 9752, 9163, 40387, 18, 5161, 16, 22083, 26541, 411, 35216, 11051, 5741, 510, 478, 672, 4571, 6814, 6233, 309, 24081, 282, 25400, 477, 42008, 473, 562, 3008, 4847, 553, 13, 861, 985, 42538, 16188, 1335, 8059, 16, 478, 267, 2059, 1963, 16, 26838, 9427, 6676, 6549, 16, 4959, 1733, 6579, 6143, 289, 3416, 2567, 18221, 39204, 16, 281, 2107, 510, 282, 6829, 8231, 1175, 19003, 6911, 15099, 16, 2412, 5800, 19381, 6198, 8347, 289, 33075, 835, 6814, 16, 309, 9337, 1639, 4735, 16014, 7143, 448, 3674, 861, 34923, 290, 970, 16, 374, 11891, 290, 23038, 309, 24081, 282, 15114, 42008, 1623, 282, 11755, 508, 464, 11839, 18731, 16, 6712, 294, 4407, 2675, 281, 17696, 39193, 11552, 5246, 18, 985, 3153, 309, 11073, 8424, 334, 3623, 3405, 4120, 9128, 9539, 11552, 5246, 334, 3507, 3720, 16378, 1051, 1624, 49356, 282, 5329, 4871, 15046, 5738, 16, 9770, 11552, 5246, 2828, 857, 1817, 40387, 289, 17929, 294, 3479, 552, 16, 2496, 1639, 16, 282, 4810, 16, 24219, 5628, 5741, 18, 824, 4734, 11050, 10914, 5355, 7067, 42163, 6814, 13587, 4534, 13536, 3551, 29180, 16, 16872, 24932, 3768, 309, 12284, 1066, 16, 8026, 42044, 2990, 2954, 309, 24081, 282, 25400, 477, 42008, 18, 478, 6889, 399, 3008, 42008, 912, 935, 329, 6684, 16, 510, 2815, 3551, 14940, 478, 46088, 18, 8381, 861, 510, 439, 5633, 9770, 16, 753, 13015, 1379, 30292, 16, 20015, 935, 10419, 360, 1728, 16, 7711, 434, 16, 282, 2452, 2024, 11926, 8329, 3369, 1157, 18, 996, 656, 697, 6709, 16, 519, 7618, 861, 824, 3163, 3551, 29180, 16, 9770, 11552, 5246, 15546, 27510, 617, 16, 367, 309, 3614, 42163, 3419, 39314, 34651, 35076, 16, 282, 4810, 16, 349, 502, 374, 2650, 478, 404, 3744, 1893, 6106, 13416, 9536, 470, 289, 8643, 965, 281, 1498, 428, 281, 478, 919, 280, 1683, 861, 478, 2176, 5200, 3614, 47020, 22325, 429, 290, 13957, 1718, 13230, 1590, 287, 13416, 9536, 282, 6744, 4912, 281, 22833, 2206, 9539, 13587, 15289, 3623, 608, 5246, 1312, 5607, 20888, 30017, 5269, 16, 510, 14268, 2433, 3551, 14940, 18, 510, 3026, 22083, 8658, 282, 7573, 478, 25976, 488, 483, 45622, 16, 5654, 1643, 25167, 45622, 16, 25167, 23764, 16, 5654, 1643, 25167, 23764, 289, 2222, 21614, 4524, 679, 861, 3863, 3022, 971, 16, 3754, 16, 42764, 309, 6567, 6964, 8424, 18, 740, 1135, 16, 20074, 31077, 294, 6401, 3250, 428, 294, 4524, 679, 272, 16, 4452, 519, 4319, 1326, 18, 11966, 16, 2388, 1749, 6453, 4402, 368, 380, 1275, 272, 289, 28911, 6737, 14457, 18, 439, 4427, 773, 30292, 16, 1029, 26880, 1177, 478, 267, 42829, 470, 5433, 365, 43788, 554, 482, 20630, 622, 18578, 422, 18, 8914, 14855, 424, 25110, 687, 16872, 22519, 17838, 18, 824, 697, 4734, 16, 13518, 17, 1878, 3376, 16, 515, 1749, 2125, 4417, 2990, 309, 10720, 1634, 7405, 18, 478, 677, 7963, 546, 10128, 16, 374, 282, 8231, 40307, 6911, 15099, 334, 13441, 835, 6814, 18, 459, 32727, 745, 309, 7143, 448, 3674, 910, 510, 2715, 17344, 46984, 8424, 334, 3623, 4210, 33385, 483, 1624, 4685, 14711, 16, 374, 290, 24167, 46223, 309, 7794, 38301, 282, 25223, 322, 10128, 18, 2949, 5941, 18578, 5628, 290, 42163, 292, 16, 15688, 40387, 329, 11151, 933, 26280, 648, 1015, 294, 11755, 508, 552, 322, 5121, 16, 1830, 371, 7953, 432, 6268, 4912, 282, 4370, 30567, 1126, 761, 35632, 11060, 887, 3333, 505, 9047, 18, 640, 2456, 11073, 16872, 9462, 9528, 309, 1143, 1223, 24497, 11100, 1209, 9878, 49213, 11253, 11413, 18, 48011, 9291, 17824, 282, 10938, 9475, 265, 289, 10581, 4110, 15942, 3182, 18, 4874, 41849, 950, 29690, 282, 1750, 16, 827, 4270, 525, 13143, 322, 840, 33441, 360, 23587, 13587, 282, 24235, 2580, 16, 11543, 23825, 1086, 722, 282, 34015, 1755, 306, 18, 48011, 25726, 414, 16, 374, 282, 33349, 1175, 13143, 20949, 1807, 4831, 7233, 2891, 16, 367, 36063, 510, 29138, 17371, 16, 1097, 49058, 16, 785, 13143, 726, 322, 3755, 12558, 18, 439, 1038, 290, 970, 16, 374, 16, 785, 23103, 539, 7064, 703, 435, 15913, 309, 32993, 16, 2650, 10025, 1374, 7631, 360, 10235, 37235, 291, 16, 478, 679, 1385, 40655, 470, 11998, 434, 11413, 30, 478, 5350, 11889, 9329, 910, 24301, 1041, 13816, 289, 15734, 1437, 18, 3529, 2048, 978, 322, 3225, 16, 2862, 16, 1381, 17454, 764, 445, 16, 5658, 16872, 18, 365, 15614, 6031, 26934, 11919, 950, 6498, 294, 4734, 16, 374, 38863, 10933, 17774, 2125, 4927, 3670, 21123, 451, 5667, 1728, 23825, 1237, 289, 4693, 349, 22266, 9704, 1634, 12360, 411, 25150, 3314, 13269, 17329, 6431, 16, 367, 322, 478, 22160, 613, 512, 861, 16251, 6356, 334, 23825, 6216, 32993, 282, 15913, 8343, 455, 687, 14019, 1066, 17838, 18, 824, 3163, 15465, 22519, 12097, 403, 1018, 45615, 16, 19261, 23825, 1237, 28215, 4359, 6629, 360, 816, 519, 2511, 5096, 2791, 16, 289, 481, 371, 970, 16, 374, 290, 35885, 25282, 16570, 9771, 24382, 17329, 6431, 282, 11755, 508, 464, 322, 10128, 537, 1694, 18, 2949, 924, 16, 334, 505, 4734, 16, 478, 23848, 1011, 11758, 17407, 5115, 5738, 478, 630, 6233, 470, 5702, 1269, 6528, 16, 309, 961, 537, 42154, 16, 537, 4958, 7870, 5494, 453, 289, 322, 5684, 8264, 861, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 4552, 11287, 47956, 34431, 16, 15492, 3626, 281, 1059, 11539, 349, 351, 8966, 1133, 10936, 16, 7220, 360, 12457, 14243, 4843, 3324, 3763, 18, 7879, 8477, 3624, 309, 1059, 11539, 764, 2364, 491, 17, 292, 986, 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 ]
[ 10687, 282, 32386, 41311, 6421, 34620, 727, 8632, 293, 507, 16, 2686, 309, 14515, 3116, 6063, 20537, 47452, 266, 625, 788, 2467, 40921, 17192, 281, 5625, 36725, 5568, 25107, 8955, 18, 11333, 7036, 7638, 17, 38915, 16, 14378, 18389, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 9460, 18, 2, 1, 87, 1456, 81, 2448, 30, 46255, 1615, 4872, 8123, 30025, 6814, 6431, 9246, 1552, 3018, 309, 24081, 282, 15114, 42008, 18, 1303, 11404, 282, 35557, 11755, 508, 464, 478, 630, 6233, 470, 3187, 2497, 2891, 20037, 18, 31224, 30, 9676, 823, 2497, 16872, 282, 9937, 7650, 289, 33895, 282, 39309, 16908, 309, 31974, 19048, 478, 630, 6233, 861, 985, 3014, 411, 30310, 16, 43788, 4872, 15349, 8501, 16, 1727, 4651, 309, 7794, 33710, 1387, 3320, 289, 3416, 6233, 16, 515, 281, 9752, 9163, 40387, 18, 5161, 16, 22083, 26541, 411, 35216, 11051, 5741, 510, 478, 672, 4571, 6814, 6233, 309, 24081, 282, 25400, 477, 42008, 473, 562, 3008, 4847, 553, 13, 861, 985, 42538, 16188, 1335, 8059, 16, 478, 267, 2059, 1963, 16, 26838, 9427, 6676, 6549, 16, 4959, 1733, 6579, 6143, 289, 3416, 2567, 18221, 39204, 16, 281, 2107, 510, 282, 6829, 8231, 1175, 19003, 6911, 15099, 16, 2412, 5800, 19381, 6198, 8347, 289, 33075, 835, 6814, 16, 309, 9337, 1639, 4735, 16014, 7143, 448, 3674, 861, 34923, 290, 970, 16, 374, 11891, 290, 23038, 309, 24081, 282, 15114, 42008, 1623, 282, 11755, 508, 464, 11839, 18731, 16, 6712, 294, 4407, 2675, 281, 17696, 39193, 11552, 5246, 18, 985, 3153, 309, 11073, 8424, 334, 3623, 3405, 4120, 9128, 9539, 11552, 5246, 334, 3507, 3720, 16378, 1051, 1624, 49356, 282, 5329, 4871, 15046, 5738, 16, 9770, 11552, 5246, 2828, 857, 1817, 40387, 289, 17929, 294, 3479, 552, 16, 2496, 1639, 16, 282, 4810, 16, 24219, 5628, 5741, 18, 824, 4734, 11050, 10914, 5355, 7067, 42163, 6814, 13587, 4534, 13536, 3551, 29180, 16, 16872, 24932, 3768, 309, 12284, 1066, 16, 8026, 42044, 2990, 2954, 309, 24081, 282, 25400, 477, 42008, 18, 478, 6889, 399, 3008, 42008, 912, 935, 329, 6684, 16, 510, 2815, 3551, 14940, 478, 46088, 18, 8381, 861, 510, 439, 5633, 9770, 16, 753, 13015, 1379, 30292, 16, 20015, 935, 10419, 360, 1728, 16, 7711, 434, 16, 282, 2452, 2024, 11926, 8329, 3369, 1157, 18, 996, 656, 697, 6709, 16, 519, 7618, 861, 824, 3163, 3551, 29180, 16, 9770, 11552, 5246, 15546, 27510, 617, 16, 367, 309, 3614, 42163, 3419, 39314, 34651, 35076, 16, 282, 4810, 16, 349, 502, 374, 2650, 478, 404, 3744, 1893, 6106, 13416, 9536, 470, 289, 8643, 965, 281, 1498, 428, 281, 478, 919, 280, 1683, 861, 478, 2176, 5200, 3614, 47020, 22325, 429, 290, 13957, 1718, 13230, 1590, 287, 13416, 9536, 282, 6744, 4912, 281, 22833, 2206, 9539, 13587, 15289, 3623, 608, 5246, 1312, 5607, 20888, 30017, 5269, 16, 510, 14268, 2433, 3551, 14940, 18, 510, 3026, 22083, 8658, 282, 7573, 478, 25976, 488, 483, 45622, 16, 5654, 1643, 25167, 45622, 16, 25167, 23764, 16, 5654, 1643, 25167, 23764, 289, 2222, 21614, 4524, 679, 861, 3863, 3022, 971, 16, 3754, 16, 42764, 309, 6567, 6964, 8424, 18, 740, 1135, 16, 20074, 31077, 294, 6401, 3250, 428, 294, 4524, 679, 272, 16, 4452, 519, 4319, 1326, 18, 11966, 16, 2388, 1749, 6453, 4402, 368, 380, 1275, 272, 289, 28911, 6737, 14457, 18, 439, 4427, 773, 30292, 16, 1029, 26880, 1177, 478, 267, 42829, 470, 5433, 365, 43788, 554, 482, 20630, 622, 18578, 422, 18, 8914, 14855, 424, 25110, 687, 16872, 22519, 17838, 18, 824, 697, 4734, 16, 13518, 17, 1878, 3376, 16, 515, 1749, 2125, 4417, 2990, 309, 10720, 1634, 7405, 18, 478, 677, 7963, 546, 10128, 16, 374, 282, 8231, 40307, 6911, 15099, 334, 13441, 835, 6814, 18, 459, 32727, 745, 309, 7143, 448, 3674, 910, 510, 2715, 17344, 46984, 8424, 334, 3623, 4210, 33385, 483, 1624, 4685, 14711, 16, 374, 290, 24167, 46223, 309, 7794, 38301, 282, 25223, 322, 10128, 18, 2949, 5941, 18578, 5628, 290, 42163, 292, 16, 15688, 40387, 329, 11151, 933, 26280, 648, 1015, 294, 11755, 508, 552, 322, 5121, 16, 1830, 371, 7953, 432, 6268, 4912, 282, 4370, 30567, 1126, 761, 35632, 11060, 887, 3333, 505, 9047, 18, 640, 2456, 11073, 16872, 9462, 9528, 309, 1143, 1223, 24497, 11100, 1209, 9878, 49213, 11253, 11413, 18, 48011, 9291, 17824, 282, 10938, 9475, 265, 289, 10581, 4110, 15942, 3182, 18, 4874, 41849, 950, 29690, 282, 1750, 16, 827, 4270, 525, 13143, 322, 840, 33441, 360, 23587, 13587, 282, 24235, 2580, 16, 11543, 23825, 1086, 722, 282, 34015, 1755, 306, 18, 48011, 25726, 414, 16, 374, 282, 33349, 1175, 13143, 20949, 1807, 4831, 7233, 2891, 16, 367, 36063, 510, 29138, 17371, 16, 1097, 49058, 16, 785, 13143, 726, 322, 3755, 12558, 18, 439, 1038, 290, 970, 16, 374, 16, 785, 23103, 539, 7064, 703, 435, 15913, 309, 32993, 16, 2650, 10025, 1374, 7631, 360, 10235, 37235, 291, 16, 478, 679, 1385, 40655, 470, 11998, 434, 11413, 30, 478, 5350, 11889, 9329, 910, 24301, 1041, 13816, 289, 15734, 1437, 18, 3529, 2048, 978, 322, 3225, 16, 2862, 16, 1381, 17454, 764, 445, 16, 5658, 16872, 18, 365, 15614, 6031, 26934, 11919, 950, 6498, 294, 4734, 16, 374, 38863, 10933, 17774, 2125, 4927, 3670, 21123, 451, 5667, 1728, 23825, 1237, 289, 4693, 349, 22266, 9704, 1634, 12360, 411, 25150, 3314, 13269, 17329, 6431, 16, 367, 322, 478, 22160, 613, 512, 861, 16251, 6356, 334, 23825, 6216, 32993, 282, 15913, 8343, 455, 687, 14019, 1066, 17838, 18, 824, 3163, 15465, 22519, 12097, 403, 1018, 45615, 16, 19261, 23825, 1237, 28215, 4359, 6629, 360, 816, 519, 2511, 5096, 2791, 16, 289, 481, 371, 970, 16, 374, 290, 35885, 25282, 16570, 9771, 24382, 17329, 6431, 282, 11755, 508, 464, 322, 10128, 537, 1694, 18, 2949, 924, 16, 334, 505, 4734, 16, 478, 23848, 1011, 11758, 17407, 5115, 5738, 478, 630, 6233, 470, 5702, 1269, 6528, 16, 309, 961, 537, 42154, 16, 537, 4958, 7870, 5494, 453, 289, 322, 5684, 8264, 861, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 4552, 11287, 47956, 34431, 16, 15492, 3626, 281, 1059, 11539, 349, 351, 8966, 1133, 10936, 16, 7220, 360, 12457, 14243, 4843, 3324, 3763, 18, 7879, 8477, 3624, 309, 1059, 11539, 764, 2364, 491, 17, 292, 986, 16, 367 ]
[ 722, 1205, 2232, 29418, 21744, 4843, 4691, 3763, 18, 4756, 34431, 5915, 282, 5214, 32922, 281, 9224, 5925, 914, 1041, 4062, 353, 428, 29097, 16, 367, 1038, 10490, 38651, 7337, 329, 9001, 9620, 18, 31224, 30, 33929, 1162, 1560, 9028, 2251, 11287, 47956, 34431, 16, 2588, 38343, 326, 281, 22065, 1059, 11539, 349, 351, 8966, 1133, 10936, 334, 5083, 6880, 3536, 309, 48596, 22269, 375, 282, 17130, 4696, 16, 36044, 360, 12457, 22065, 4843, 3324, 3763, 18, 1367, 803, 3110, 4772, 17, 511, 3228, 786, 49, 62, 18, 478, 15767, 635, 839, 281, 21971, 11738, 13156, 6442, 1299, 16, 374, 329, 47956, 685, 11389, 309, 816, 779, 16, 289, 34554, 300, 492, 1248, 430, 1205, 289, 1533, 4776, 281, 6175, 722, 40158, 910, 510, 5130, 282, 7705, 18, 824, 3761, 15479, 16, 1205, 4139, 17294, 20350, 34431, 22356, 4843, 4691, 3763, 18, 1178, 24036, 39243, 36089, 870, 3674, 16, 502, 4552, 11287, 4674, 285, 1263, 282, 1551, 18, 985, 3110, 1902, 559, 26504, 16, 282, 803, 1750, 10855, 2660, 3740, 34431, 840, 19676, 5651, 6945, 15320, 411, 49344, 795, 42998, 19791, 1496, 18, 365, 5344, 492, 26880, 10855, 32738, 289, 21658, 18, 7106, 16, 3703, 3802, 9770, 22065, 1059, 11539, 41483, 15492, 649, 47956, 34431, 349, 351, 8966, 778, 16, 334, 697, 4734, 16, 10983, 16, 4155, 10574, 14935, 761, 282, 17130, 722, 1560, 6781, 17562, 18, 36487, 545, 4890, 281, 39208, 30467, 309, 48596, 22269, 375, 16, 34431, 18201, 2222, 16, 374, 8225, 478, 7839, 4194, 7809, 507, 470, 473, 25685, 18, 478, 1477, 539, 2641, 910, 5507, 38292, 322, 17, 1477, 30021, 982, 5578, 1634, 1562, 13085, 26384, 16, 753, 41044, 322, 844, 510, 478, 18386, 18, 8381, 9979, 8503, 351, 8966, 1703, 16, 289, 478, 39943, 2900, 282, 803, 1003, 861, 2949, 924, 16, 34431, 49295, 764, 1293, 8689, 449, 429, 1020, 16, 374, 18749, 23716, 329, 3725, 15364, 289, 12457, 1059, 11539, 18, 19065, 16, 374, 478, 7839, 4194, 7809, 267, 470, 6048, 1807, 3215, 22518, 2301, 13198, 16094, 5319, 18, 43031, 505, 20322, 411, 4036, 1832, 853, 280, 2742, 10860, 3931, 16, 4723, 971, 478, 7839, 4194, 7809, 267, 470, 4167, 282, 38796, 1212, 21985, 1022, 2800, 18, 4015, 30021, 485, 36490, 322, 9033, 887, 282, 4889, 519, 16838, 8606, 3931, 16, 289, 697, 3857, 4598, 414, 11961, 18, 10942, 2530, 312, 353, 6728, 478, 1567, 322, 844, 470, 34210, 898, 571, 1447, 758, 289, 3887, 414, 6911, 351, 8966, 1133, 28221, 1923, 18, 48646, 281, 478, 7839, 4194, 7809, 3032, 470, 282, 2145, 906, 9725, 354, 9954, 331, 14210, 2855, 764, 567, 6477, 37513, 2220, 3850, 403, 11365, 16, 289, 14968, 519, 4319, 1326, 18, 640, 5421, 575, 1119, 1011, 1634, 1280, 47956, 34431, 18649, 1617, 28783, 282, 17130, 14243, 16, 515, 1059, 11539, 39337, 478, 404, 3859, 10386, 470, 2159, 25096, 15562, 281, 14935, 761, 18, 967, 803, 7190, 14243, 360, 4700, 17, 3697, 15841, 334, 5083, 978, 32922, 17245, 18, 47956, 34431, 371, 803, 4419, 1413, 25177, 282, 5214, 23062, 328, 1191, 455, 510, 515, 428, 29097, 18, 2667, 1059, 11539, 678, 13000, 309, 9577, 962, 33409, 18045, 1624, 289, 2756, 23202, 40603, 914, 1041, 13816, 47992, 14243, 4280, 16767, 7485, 271, 507, 1624, 15492, 2198, 281, 9515, 8840, 282, 4145, 1045, 16, 3110, 727, 4742, 18, 2660, 3740, 34431, 906, 282, 2875, 10180, 2116, 2543, 7485, 271, 507, 289, 322, 2756, 30760, 309, 505, 10720, 935, 1011, 6155, 296, 7620, 22065, 18, 2112, 28827, 20700, 309, 33409, 18045, 678, 10956, 309, 1059, 11539, 18, 7485, 38278, 16342, 13557, 11826, 779, 282, 7353, 21547, 986, 18, 365, 1175, 47956, 34431, 282, 5344, 19556, 428, 4552, 11287, 16, 10490, 48661, 1712, 7337, 329, 4830, 2407, 9001, 9620, 18, 365, 12938, 7847, 779, 34431, 2395, 1633, 6406, 5192, 441, 539, 14668, 14957, 718, 12672, 12318, 16652, 281, 12070, 4830, 1175, 9001, 9620, 18, 2112, 16652, 34431, 8423, 329, 4830, 7337, 541, 1059, 11539, 18045, 18, 478, 3001, 685, 11733, 536, 349, 6567, 620, 16, 32038, 16, 22452, 16, 10116, 2022, 910, 510, 9321, 678, 282, 17130, 12850, 1672, 1560, 22649, 42331, 18, 34431, 1038, 16926, 16, 374, 4770, 1175, 49831, 19697, 5406, 16, 374, 478, 48547, 334, 1190, 639, 2500, 6054, 470, 281, 9752, 924, 16, 4080, 505, 16835, 30439, 282, 2145, 18, 365, 11500, 11826, 779, 34431, 3424, 8423, 329, 9001, 9620, 7337, 18, 3529, 9805, 5222, 2815, 14935, 582, 16, 374, 14429, 1175, 16, 4434, 1453, 2145, 567, 11564, 21732, 282, 11031, 13279, 4830, 4145, 779, 16, 478, 404, 25509, 360, 3946, 5781, 11944, 289, 4000, 861, 824, 3163, 9620, 16, 3771, 2002, 322, 4590, 285, 13198, 5939, 1634, 2954, 16, 17627, 4486, 567, 11564, 21732, 282, 11031, 4830, 2145, 18, 478, 10430, 556, 18, 3771, 322, 14617, 488, 2712, 1634, 2954, 16, 428, 289, 2145, 910, 510, 9299, 4770, 2407, 18, 817, 1038, 5692, 16, 374, 16775, 2891, 322, 41657, 4302, 17737, 289, 4760, 290, 4542, 1101, 3507, 651, 753, 19406, 2089, 10784, 1974, 18, 2112, 978, 47956, 34431, 9321, 16, 374, 329, 9620, 895, 953, 478, 4743, 323, 17, 299, 18307, 766, 309, 4830, 2145, 5035, 35109, 34031, 910, 5923, 391, 26448, 1624, 36389, 309, 10958, 1273, 25663, 16, 281, 3279, 9633, 5656, 4552, 11287, 18, 365, 7705, 13120, 16, 374, 28565, 478, 272, 12247, 305, 9620, 16, 515, 7006, 520, 37712, 5222, 272, 5550, 13205, 30961, 861, 34431, 14291, 16, 374, 478, 635, 8764, 766, 910, 1029, 8641, 912, 329, 9620, 16, 895, 953, 14736, 281, 31179, 34031, 282, 1175, 282, 8497, 17, 292, 6206, 16, 367, 1038, 334, 5083, 505, 11244, 282, 2145, 18, 365, 1664, 712, 1212, 7337, 6732, 16328, 25110, 282, 970, 16, 374, 36176, 28565, 7832, 294, 3130, 5112, 281, 1001, 305, 8328, 18, 478, 1358, 3684, 16, 374, 492, 26713, 1135, 16, 492, 17635, 281, 939, 6097, 13071, 289, 10219, 16, 374, 827, 912, 10064, 29441, 281, 5045, 14918, 299, 6357, 1133, 3361, 16, 502, 1513, 18002, 294, 4453, 45130, 670, 1097, 22897, 6357, 272, 281, 16841, 16, 4345, 1329, 322, 9040, 18, 629, 3684, 16, 374, 481, 8195, 1376, 31588, 7376, 3149, 910, 651, 9299, 9805, 5222, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 2460, 623, 1489, 11350, 17, 33179, 24754, 48398, 1845, 18573, 17, 684, 2334, 16, 4419, 4434, 806, 11817, 282, 27374, 763, 760, 16648, 294, 9224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 722, 1205, 2232, 29418, 21744, 4843, 4691, 3763, 18, 4756, 34431, 5915, 282, 5214, 32922, 281, 9224, 5925, 914, 1041, 4062, 353, 428, 29097, 16, 367, 1038, 10490, 38651, 7337, 329, 9001, 9620, 18, 31224, 30, 33929, 1162, 1560, 9028, 2251, 11287, 47956, 34431, 16, 2588, 38343, 326, 281, 22065, 1059, 11539, 349, 351, 8966, 1133, 10936, 334, 5083, 6880, 3536, 309, 48596, 22269, 375, 282, 17130, 4696, 16, 36044, 360, 12457, 22065, 4843, 3324, 3763, 18, 1367, 803, 3110, 4772, 17, 511, 3228, 786, 49, 62, 18, 478, 15767, 635, 839, 281, 21971, 11738, 13156, 6442, 1299, 16, 374, 329, 47956, 685, 11389, 309, 816, 779, 16, 289, 34554, 300, 492, 1248, 430, 1205, 289, 1533, 4776, 281, 6175, 722, 40158, 910, 510, 5130, 282, 7705, 18, 824, 3761, 15479, 16, 1205, 4139, 17294, 20350, 34431, 22356, 4843, 4691, 3763, 18, 1178, 24036, 39243, 36089, 870, 3674, 16, 502, 4552, 11287, 4674, 285, 1263, 282, 1551, 18, 985, 3110, 1902, 559, 26504, 16, 282, 803, 1750, 10855, 2660, 3740, 34431, 840, 19676, 5651, 6945, 15320, 411, 49344, 795, 42998, 19791, 1496, 18, 365, 5344, 492, 26880, 10855, 32738, 289, 21658, 18, 7106, 16, 3703, 3802, 9770, 22065, 1059, 11539, 41483, 15492, 649, 47956, 34431, 349, 351, 8966, 778, 16, 334, 697, 4734, 16, 10983, 16, 4155, 10574, 14935, 761, 282, 17130, 722, 1560, 6781, 17562, 18, 36487, 545, 4890, 281, 39208, 30467, 309, 48596, 22269, 375, 16, 34431, 18201, 2222, 16, 374, 8225, 478, 7839, 4194, 7809, 507, 470, 473, 25685, 18, 478, 1477, 539, 2641, 910, 5507, 38292, 322, 17, 1477, 30021, 982, 5578, 1634, 1562, 13085, 26384, 16, 753, 41044, 322, 844, 510, 478, 18386, 18, 8381, 9979, 8503, 351, 8966, 1703, 16, 289, 478, 39943, 2900, 282, 803, 1003, 861, 2949, 924, 16, 34431, 49295, 764, 1293, 8689, 449, 429, 1020, 16, 374, 18749, 23716, 329, 3725, 15364, 289, 12457, 1059, 11539, 18, 19065, 16, 374, 478, 7839, 4194, 7809, 267, 470, 6048, 1807, 3215, 22518, 2301, 13198, 16094, 5319, 18, 43031, 505, 20322, 411, 4036, 1832, 853, 280, 2742, 10860, 3931, 16, 4723, 971, 478, 7839, 4194, 7809, 267, 470, 4167, 282, 38796, 1212, 21985, 1022, 2800, 18, 4015, 30021, 485, 36490, 322, 9033, 887, 282, 4889, 519, 16838, 8606, 3931, 16, 289, 697, 3857, 4598, 414, 11961, 18, 10942, 2530, 312, 353, 6728, 478, 1567, 322, 844, 470, 34210, 898, 571, 1447, 758, 289, 3887, 414, 6911, 351, 8966, 1133, 28221, 1923, 18, 48646, 281, 478, 7839, 4194, 7809, 3032, 470, 282, 2145, 906, 9725, 354, 9954, 331, 14210, 2855, 764, 567, 6477, 37513, 2220, 3850, 403, 11365, 16, 289, 14968, 519, 4319, 1326, 18, 640, 5421, 575, 1119, 1011, 1634, 1280, 47956, 34431, 18649, 1617, 28783, 282, 17130, 14243, 16, 515, 1059, 11539, 39337, 478, 404, 3859, 10386, 470, 2159, 25096, 15562, 281, 14935, 761, 18, 967, 803, 7190, 14243, 360, 4700, 17, 3697, 15841, 334, 5083, 978, 32922, 17245, 18, 47956, 34431, 371, 803, 4419, 1413, 25177, 282, 5214, 23062, 328, 1191, 455, 510, 515, 428, 29097, 18, 2667, 1059, 11539, 678, 13000, 309, 9577, 962, 33409, 18045, 1624, 289, 2756, 23202, 40603, 914, 1041, 13816, 47992, 14243, 4280, 16767, 7485, 271, 507, 1624, 15492, 2198, 281, 9515, 8840, 282, 4145, 1045, 16, 3110, 727, 4742, 18, 2660, 3740, 34431, 906, 282, 2875, 10180, 2116, 2543, 7485, 271, 507, 289, 322, 2756, 30760, 309, 505, 10720, 935, 1011, 6155, 296, 7620, 22065, 18, 2112, 28827, 20700, 309, 33409, 18045, 678, 10956, 309, 1059, 11539, 18, 7485, 38278, 16342, 13557, 11826, 779, 282, 7353, 21547, 986, 18, 365, 1175, 47956, 34431, 282, 5344, 19556, 428, 4552, 11287, 16, 10490, 48661, 1712, 7337, 329, 4830, 2407, 9001, 9620, 18, 365, 12938, 7847, 779, 34431, 2395, 1633, 6406, 5192, 441, 539, 14668, 14957, 718, 12672, 12318, 16652, 281, 12070, 4830, 1175, 9001, 9620, 18, 2112, 16652, 34431, 8423, 329, 4830, 7337, 541, 1059, 11539, 18045, 18, 478, 3001, 685, 11733, 536, 349, 6567, 620, 16, 32038, 16, 22452, 16, 10116, 2022, 910, 510, 9321, 678, 282, 17130, 12850, 1672, 1560, 22649, 42331, 18, 34431, 1038, 16926, 16, 374, 4770, 1175, 49831, 19697, 5406, 16, 374, 478, 48547, 334, 1190, 639, 2500, 6054, 470, 281, 9752, 924, 16, 4080, 505, 16835, 30439, 282, 2145, 18, 365, 11500, 11826, 779, 34431, 3424, 8423, 329, 9001, 9620, 7337, 18, 3529, 9805, 5222, 2815, 14935, 582, 16, 374, 14429, 1175, 16, 4434, 1453, 2145, 567, 11564, 21732, 282, 11031, 13279, 4830, 4145, 779, 16, 478, 404, 25509, 360, 3946, 5781, 11944, 289, 4000, 861, 824, 3163, 9620, 16, 3771, 2002, 322, 4590, 285, 13198, 5939, 1634, 2954, 16, 17627, 4486, 567, 11564, 21732, 282, 11031, 4830, 2145, 18, 478, 10430, 556, 18, 3771, 322, 14617, 488, 2712, 1634, 2954, 16, 428, 289, 2145, 910, 510, 9299, 4770, 2407, 18, 817, 1038, 5692, 16, 374, 16775, 2891, 322, 41657, 4302, 17737, 289, 4760, 290, 4542, 1101, 3507, 651, 753, 19406, 2089, 10784, 1974, 18, 2112, 978, 47956, 34431, 9321, 16, 374, 329, 9620, 895, 953, 478, 4743, 323, 17, 299, 18307, 766, 309, 4830, 2145, 5035, 35109, 34031, 910, 5923, 391, 26448, 1624, 36389, 309, 10958, 1273, 25663, 16, 281, 3279, 9633, 5656, 4552, 11287, 18, 365, 7705, 13120, 16, 374, 28565, 478, 272, 12247, 305, 9620, 16, 515, 7006, 520, 37712, 5222, 272, 5550, 13205, 30961, 861, 34431, 14291, 16, 374, 478, 635, 8764, 766, 910, 1029, 8641, 912, 329, 9620, 16, 895, 953, 14736, 281, 31179, 34031, 282, 1175, 282, 8497, 17, 292, 6206, 16, 367, 1038, 334, 5083, 505, 11244, 282, 2145, 18, 365, 1664, 712, 1212, 7337, 6732, 16328, 25110, 282, 970, 16, 374, 36176, 28565, 7832, 294, 3130, 5112, 281, 1001, 305, 8328, 18, 478, 1358, 3684, 16, 374, 492, 26713, 1135, 16, 492, 17635, 281, 939, 6097, 13071, 289, 10219, 16, 374, 827, 912, 10064, 29441, 281, 5045, 14918, 299, 6357, 1133, 3361, 16, 502, 1513, 18002, 294, 4453, 45130, 670, 1097, 22897, 6357, 272, 281, 16841, 16, 4345, 1329, 322, 9040, 18, 629, 3684, 16, 374, 481, 8195, 1376, 31588, 7376, 3149, 910, 651, 9299, 9805, 5222, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 2460, 623, 1489, 11350, 17, 33179, 24754, 48398, 1845, 18573, 17, 684, 2334, 16, 4419, 4434, 806, 11817, 282, 27374, 763, 760, 16648, 294, 9224 ]
[ 16, 36544, 18, 2877, 9798, 33811, 39248, 282, 477, 819, 400, 265, 282, 3320, 48973, 553, 18, 3397, 1845, 18573, 17, 47223, 20817, 18, 31224, 30, 45433, 5037, 22026, 8204, 434, 11131, 473, 24754, 6778, 27127, 742, 1845, 18573, 17, 47223, 685, 20817, 567, 12241, 5957, 1011, 924, 16, 428, 20240, 19641, 26247, 12480, 282, 586, 364, 426, 18, 38232, 17, 44029, 742, 1727, 7831, 3336, 16, 753, 5134, 3455, 282, 2797, 12862, 282, 3106, 40178, 334, 49605, 6619, 381, 3320, 5324, 48973, 553, 289, 37650, 464, 11758, 11244, 16, 290, 8766, 34938, 5792, 18157, 726, 322, 445, 18, 5161, 16, 428, 44262, 282, 12838, 4440, 779, 9063, 1185, 11, 33910, 21212, 16, 4498, 3419, 381, 963, 607, 1751, 16, 961, 30122, 282, 12221, 18, 985, 12603, 414, 23488, 448, 13156, 10195, 282, 6233, 16, 309, 697, 15740, 282, 970, 2875, 28315, 289, 7143, 448, 2764, 16, 367, 12706, 309, 42164, 541, 3609, 17, 23390, 2477, 289, 9163, 14886, 15082, 326, 428, 445, 411, 586, 364, 379, 18, 459, 16, 428, 8846, 16, 17774, 322, 3947, 414, 16, 374, 34727, 4255, 4963, 1967, 16649, 368, 685, 289, 1845, 18573, 17, 47223, 18, 2263, 11350, 17, 2210, 342, 24754, 282, 1078, 13875, 309, 12691, 2508, 9099, 5628, 10195, 282, 1551, 16, 515, 1055, 4126, 322, 5053, 294, 2180, 825, 28630, 766, 3051, 16, 282, 5017, 7314, 11877, 2438, 3665, 16, 374, 8667, 322, 453, 1588, 289, 3550, 887, 18, 29765, 33254, 32852, 8977, 16, 374, 567, 12241, 33811, 9140, 309, 19019, 282, 20554, 37869, 586, 364, 379, 282, 4301, 726, 7301, 2198, 1101, 290, 5033, 286, 320, 1207, 18, 3397, 1845, 18573, 17, 47223, 3164, 424, 29092, 18, 3747, 309, 2797, 12862, 11350, 17, 2210, 342, 24754, 445, 370, 47875, 286, 1625, 709, 281, 5722, 3334, 289, 13749, 16, 374, 478, 4873, 9910, 26258, 9224, 4314, 1805, 910, 515, 290, 970, 16, 374, 6556, 16, 281, 6133, 492, 45414, 709, 16, 898, 12882, 1082, 16, 492, 322, 2946, 289, 282, 3320, 963, 12180, 322, 13382, 18, 5043, 16, 8811, 8231, 334, 8872, 33691, 6498, 294, 289, 1147, 14728, 18, 14744, 1508, 1924, 15506, 276, 6959, 5317, 1845, 18573, 17, 684, 2334, 16, 1029, 764, 1965, 5548, 27322, 7265, 8972, 496, 5696, 385, 13419, 3190, 282, 4770, 680, 34042, 567, 5670, 16, 281, 6705, 779, 18, 2681, 282, 12838, 4440, 779, 27414, 1551, 6835, 17, 29596, 11368, 281, 33811, 475, 14267, 282, 20701, 22424, 1237, 760, 16648, 640, 32733, 507, 552, 3911, 300, 435, 282, 20042, 18833, 715, 13544, 561, 863, 2418, 3598, 18, 985, 20331, 3708, 18629, 7768, 16, 678, 27704, 282, 5172, 16, 25076, 16, 374, 1122, 5726, 1003, 16, 515, 1373, 2979, 282, 29594, 5052, 17178, 16, 289, 411, 1710, 4223, 47041, 1845, 18573, 17, 47223, 18, 2112, 26472, 9511, 1169, 323, 27437, 492, 12139, 760, 40985, 349, 2038, 16, 13732, 8207, 282, 29594, 16, 988, 17050, 5932, 294, 290, 1940, 1147, 9224, 18, 3911, 300, 435, 20331, 16, 374, 1450, 21797, 3225, 23486, 289, 7945, 290, 14170, 2529, 41158, 18, 5181, 16, 294, 2222, 18254, 16, 428, 294, 715, 13544, 561, 863, 5098, 5468, 17774, 4621, 16, 1845, 18573, 17, 47223, 726, 6820, 282, 18248, 14008, 33928, 18, 3026, 505, 289, 18137, 16, 4233, 275, 282, 19189, 478, 43972, 9058, 267, 17, 19253, 16929, 910, 515, 726, 667, 3598, 1551, 17240, 6835, 17, 15900, 19346, 505, 424, 21784, 18, 5181, 16, 1011, 24033, 7649, 13816, 36560, 6498, 294, 14728, 16, 374, 12529, 3911, 300, 435, 322, 18950, 1211, 7045, 22140, 30, 678, 4043, 977, 282, 3286, 6585, 16, 21889, 1421, 4095, 7475, 32413, 16, 367, 15320, 11350, 17, 33179, 24754, 25527, 16, 374, 3255, 760, 40985, 726, 4858, 925, 309, 39964, 1919, 18, 3584, 26516, 24989, 18629, 7768, 16, 374, 541, 7358, 36445, 282, 2145, 20092, 455, 5901, 290, 970, 16, 428, 282, 47414, 263, 16, 988, 678, 11240, 16, 722, 22424, 3637, 1293, 5887, 18, 5181, 16, 22801, 2780, 2673, 20899, 1954, 15506, 281, 20305, 14935, 761, 7075, 775, 3495, 32686, 18, 1253, 9321, 16, 374, 11350, 17, 2210, 342, 24754, 6274, 22424, 1086, 289, 722, 16, 515, 349, 5004, 519, 9258, 2989, 13516, 282, 7400, 547, 12564, 334, 6619, 290, 27374, 763, 294, 9224, 760, 16648, 6054, 8251, 1909, 2159, 8348, 18, 2263, 1845, 18573, 17, 47223, 322, 445, 27834, 16, 374, 6959, 4381, 505, 17090, 17, 328, 1191, 2664, 11864, 1472, 281, 867, 16, 374, 1097, 11402, 43277, 5494, 15546, 8972, 354, 282, 505, 5503, 18, 5181, 16, 428, 36562, 34938, 5792, 16, 6874, 5978, 18307, 766, 309, 1845, 648, 1265, 17, 684, 2334, 639, 322, 1513, 16, 453, 428, 11350, 17, 2210, 342, 24754, 2826, 1494, 25468, 5833, 3234, 1826, 363, 1330, 282, 11079, 281, 8095, 536, 18170, 18, 2, 1, 87, 1456, 81, 2448, 30, 7148, 13023, 448, 478, 1916, 406, 382, 470, 8103, 19911, 414, 282, 1764, 13295, 1484, 16, 1642, 1684, 25474, 40097, 478, 672, 22407, 470, 477, 39135, 23902, 30, 9965, 18, 27489, 1619, 12310, 28067, 282, 5271, 29343, 434, 7586, 1559, 21933, 39747, 297, 15432, 16, 32471, 1510, 2123, 12994, 18, 31224, 30, 563, 9255, 2756, 541, 37879, 368, 6097, 20113, 24356, 536, 29958, 651, 10786, 478, 1916, 406, 382, 470, 19521, 1336, 1595, 2615, 10133, 32671, 16423, 1764, 13295, 607, 17, 18003, 19, 2479, 18, 403, 1166, 3248, 5862, 45147, 30975, 30716, 10016, 538, 939, 11623, 16, 334, 10684, 32722, 18542, 4686, 281, 35115, 478, 24062, 44126, 910, 971, 281, 14775, 1703, 478, 983, 21218, 388, 2409, 910, 367, 2512, 289, 477, 40318, 478, 12145, 421, 8676, 861, 2877, 575, 21166, 2466, 2041, 14475, 262, 6217, 312, 1412, 9281, 1033, 11301, 451, 42262, 651, 478, 672, 22407, 910, 18599, 451, 14007, 15500, 309, 7266, 7426, 10096, 986, 18, 981, 289, 282, 1764, 13295, 1484, 478, 672, 22407, 470, 13309, 11179, 16, 367, 282, 6104, 11258, 935, 22814, 519, 37131, 455, 18, 740, 3216, 411, 27252, 4970, 1904, 2584, 30975, 413, 2986, 651, 282, 26345, 466, 1764, 13295, 607, 6705, 8900, 9805, 3216, 10490, 26390, 281, 26109, 15500, 18, 7200, 10133, 282, 37879, 1165, 31089, 282, 4356, 17701, 16, 367, 1215, 726, 309, 36934, 8955, 3113, 609, 300, 478, 672, 22407, 910, 5186, 275, 1190, 43958, 282, 5630, 2261, 1678, 7483, 18, 10482, 16, 374, 478, 1916, 406, 1876, 470, 10412, 18908, 281, 7534, 1703, 29709, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 36544, 18, 2877, 9798, 33811, 39248, 282, 477, 819, 400, 265, 282, 3320, 48973, 553, 18, 3397, 1845, 18573, 17, 47223, 20817, 18, 31224, 30, 45433, 5037, 22026, 8204, 434, 11131, 473, 24754, 6778, 27127, 742, 1845, 18573, 17, 47223, 685, 20817, 567, 12241, 5957, 1011, 924, 16, 428, 20240, 19641, 26247, 12480, 282, 586, 364, 426, 18, 38232, 17, 44029, 742, 1727, 7831, 3336, 16, 753, 5134, 3455, 282, 2797, 12862, 282, 3106, 40178, 334, 49605, 6619, 381, 3320, 5324, 48973, 553, 289, 37650, 464, 11758, 11244, 16, 290, 8766, 34938, 5792, 18157, 726, 322, 445, 18, 5161, 16, 428, 44262, 282, 12838, 4440, 779, 9063, 1185, 11, 33910, 21212, 16, 4498, 3419, 381, 963, 607, 1751, 16, 961, 30122, 282, 12221, 18, 985, 12603, 414, 23488, 448, 13156, 10195, 282, 6233, 16, 309, 697, 15740, 282, 970, 2875, 28315, 289, 7143, 448, 2764, 16, 367, 12706, 309, 42164, 541, 3609, 17, 23390, 2477, 289, 9163, 14886, 15082, 326, 428, 445, 411, 586, 364, 379, 18, 459, 16, 428, 8846, 16, 17774, 322, 3947, 414, 16, 374, 34727, 4255, 4963, 1967, 16649, 368, 685, 289, 1845, 18573, 17, 47223, 18, 2263, 11350, 17, 2210, 342, 24754, 282, 1078, 13875, 309, 12691, 2508, 9099, 5628, 10195, 282, 1551, 16, 515, 1055, 4126, 322, 5053, 294, 2180, 825, 28630, 766, 3051, 16, 282, 5017, 7314, 11877, 2438, 3665, 16, 374, 8667, 322, 453, 1588, 289, 3550, 887, 18, 29765, 33254, 32852, 8977, 16, 374, 567, 12241, 33811, 9140, 309, 19019, 282, 20554, 37869, 586, 364, 379, 282, 4301, 726, 7301, 2198, 1101, 290, 5033, 286, 320, 1207, 18, 3397, 1845, 18573, 17, 47223, 3164, 424, 29092, 18, 3747, 309, 2797, 12862, 11350, 17, 2210, 342, 24754, 445, 370, 47875, 286, 1625, 709, 281, 5722, 3334, 289, 13749, 16, 374, 478, 4873, 9910, 26258, 9224, 4314, 1805, 910, 515, 290, 970, 16, 374, 6556, 16, 281, 6133, 492, 45414, 709, 16, 898, 12882, 1082, 16, 492, 322, 2946, 289, 282, 3320, 963, 12180, 322, 13382, 18, 5043, 16, 8811, 8231, 334, 8872, 33691, 6498, 294, 289, 1147, 14728, 18, 14744, 1508, 1924, 15506, 276, 6959, 5317, 1845, 18573, 17, 684, 2334, 16, 1029, 764, 1965, 5548, 27322, 7265, 8972, 496, 5696, 385, 13419, 3190, 282, 4770, 680, 34042, 567, 5670, 16, 281, 6705, 779, 18, 2681, 282, 12838, 4440, 779, 27414, 1551, 6835, 17, 29596, 11368, 281, 33811, 475, 14267, 282, 20701, 22424, 1237, 760, 16648, 640, 32733, 507, 552, 3911, 300, 435, 282, 20042, 18833, 715, 13544, 561, 863, 2418, 3598, 18, 985, 20331, 3708, 18629, 7768, 16, 678, 27704, 282, 5172, 16, 25076, 16, 374, 1122, 5726, 1003, 16, 515, 1373, 2979, 282, 29594, 5052, 17178, 16, 289, 411, 1710, 4223, 47041, 1845, 18573, 17, 47223, 18, 2112, 26472, 9511, 1169, 323, 27437, 492, 12139, 760, 40985, 349, 2038, 16, 13732, 8207, 282, 29594, 16, 988, 17050, 5932, 294, 290, 1940, 1147, 9224, 18, 3911, 300, 435, 20331, 16, 374, 1450, 21797, 3225, 23486, 289, 7945, 290, 14170, 2529, 41158, 18, 5181, 16, 294, 2222, 18254, 16, 428, 294, 715, 13544, 561, 863, 5098, 5468, 17774, 4621, 16, 1845, 18573, 17, 47223, 726, 6820, 282, 18248, 14008, 33928, 18, 3026, 505, 289, 18137, 16, 4233, 275, 282, 19189, 478, 43972, 9058, 267, 17, 19253, 16929, 910, 515, 726, 667, 3598, 1551, 17240, 6835, 17, 15900, 19346, 505, 424, 21784, 18, 5181, 16, 1011, 24033, 7649, 13816, 36560, 6498, 294, 14728, 16, 374, 12529, 3911, 300, 435, 322, 18950, 1211, 7045, 22140, 30, 678, 4043, 977, 282, 3286, 6585, 16, 21889, 1421, 4095, 7475, 32413, 16, 367, 15320, 11350, 17, 33179, 24754, 25527, 16, 374, 3255, 760, 40985, 726, 4858, 925, 309, 39964, 1919, 18, 3584, 26516, 24989, 18629, 7768, 16, 374, 541, 7358, 36445, 282, 2145, 20092, 455, 5901, 290, 970, 16, 428, 282, 47414, 263, 16, 988, 678, 11240, 16, 722, 22424, 3637, 1293, 5887, 18, 5181, 16, 22801, 2780, 2673, 20899, 1954, 15506, 281, 20305, 14935, 761, 7075, 775, 3495, 32686, 18, 1253, 9321, 16, 374, 11350, 17, 2210, 342, 24754, 6274, 22424, 1086, 289, 722, 16, 515, 349, 5004, 519, 9258, 2989, 13516, 282, 7400, 547, 12564, 334, 6619, 290, 27374, 763, 294, 9224, 760, 16648, 6054, 8251, 1909, 2159, 8348, 18, 2263, 1845, 18573, 17, 47223, 322, 445, 27834, 16, 374, 6959, 4381, 505, 17090, 17, 328, 1191, 2664, 11864, 1472, 281, 867, 16, 374, 1097, 11402, 43277, 5494, 15546, 8972, 354, 282, 505, 5503, 18, 5181, 16, 428, 36562, 34938, 5792, 16, 6874, 5978, 18307, 766, 309, 1845, 648, 1265, 17, 684, 2334, 639, 322, 1513, 16, 453, 428, 11350, 17, 2210, 342, 24754, 2826, 1494, 25468, 5833, 3234, 1826, 363, 1330, 282, 11079, 281, 8095, 536, 18170, 18, 2, 1, 87, 1456, 81, 2448, 30, 7148, 13023, 448, 478, 1916, 406, 382, 470, 8103, 19911, 414, 282, 1764, 13295, 1484, 16, 1642, 1684, 25474, 40097, 478, 672, 22407, 470, 477, 39135, 23902, 30, 9965, 18, 27489, 1619, 12310, 28067, 282, 5271, 29343, 434, 7586, 1559, 21933, 39747, 297, 15432, 16, 32471, 1510, 2123, 12994, 18, 31224, 30, 563, 9255, 2756, 541, 37879, 368, 6097, 20113, 24356, 536, 29958, 651, 10786, 478, 1916, 406, 382, 470, 19521, 1336, 1595, 2615, 10133, 32671, 16423, 1764, 13295, 607, 17, 18003, 19, 2479, 18, 403, 1166, 3248, 5862, 45147, 30975, 30716, 10016, 538, 939, 11623, 16, 334, 10684, 32722, 18542, 4686, 281, 35115, 478, 24062, 44126, 910, 971, 281, 14775, 1703, 478, 983, 21218, 388, 2409, 910, 367, 2512, 289, 477, 40318, 478, 12145, 421, 8676, 861, 2877, 575, 21166, 2466, 2041, 14475, 262, 6217, 312, 1412, 9281, 1033, 11301, 451, 42262, 651, 478, 672, 22407, 910, 18599, 451, 14007, 15500, 309, 7266, 7426, 10096, 986, 18, 981, 289, 282, 1764, 13295, 1484, 478, 672, 22407, 470, 13309, 11179, 16, 367, 282, 6104, 11258, 935, 22814, 519, 37131, 455, 18, 740, 3216, 411, 27252, 4970, 1904, 2584, 30975, 413, 2986, 651, 282, 26345, 466, 1764, 13295, 607, 6705, 8900, 9805, 3216, 10490, 26390, 281, 26109, 15500, 18, 7200, 10133, 282, 37879, 1165, 31089, 282, 4356, 17701, 16, 367, 1215, 726, 309, 36934, 8955, 3113, 609, 300, 478, 672, 22407, 910, 5186, 275, 1190, 43958, 282, 5630, 2261, 1678, 7483, 18, 10482, 16, 374, 478, 1916, 406, 1876, 470, 10412, 18908, 281, 7534, 1703, 29709, 322 ]
[ 687, 282, 4301, 1764, 13295, 607, 16, 515, 289, 282, 42620, 35772, 28737, 18, 22000, 5790, 5290, 349, 478, 1916, 406, 1082, 861, 19770, 3583, 15722, 1373, 575, 9537, 5199, 424, 1595, 6457, 289, 6330, 4732, 43024, 7212, 16432, 16, 24375, 274, 505, 294, 8151, 23523, 519, 6791, 16666, 2511, 30, 25, 18, 740, 1011, 4116, 1619, 6876, 2411, 16596, 11274, 343, 7739, 4151, 309, 7266, 4335, 1879, 1745, 322, 14985, 7926, 649, 14274, 21680, 1321, 18, 1681, 6398, 4056, 5544, 25822, 382, 20113, 16355, 1262, 34815, 7586, 1653, 17, 2767, 21648, 49735, 24877, 289, 21398, 16432, 30975, 11701, 510, 282, 6031, 7732, 14596, 22588, 477, 39135, 1281, 30, 3940, 282, 4356, 29343, 416, 4966, 18, 365, 21655, 5544, 25822, 454, 4966, 4732, 7026, 16, 20318, 28659, 309, 23805, 14137, 5199, 282, 13441, 18, 2046, 4300, 16, 515, 7826, 30975, 30716, 4732, 14799, 282, 19802, 16, 18695, 6611, 478, 672, 22407, 470, 6281, 1033, 11435, 18, 365, 17343, 12525, 38913, 4966, 2742, 396, 43878, 288, 1855, 48610, 18214, 26700, 16, 7134, 11222, 16, 6133, 29343, 448, 20113, 16355, 1262, 322, 6336, 3306, 10230, 16, 2454, 274, 1293, 445, 4687, 5514, 289, 8740, 38007, 309, 18101, 1533, 23651, 18, 740, 289, 1858, 3216, 591, 20381, 46586, 5420, 322, 37052, 16, 367, 19060, 281, 9640, 16, 4445, 5199, 424, 1595, 6457, 289, 10587, 25818, 4698, 11693, 7977, 281, 13303, 12270, 1472, 282, 1272, 26654, 651, 6603, 30, 7703, 18, 6217, 312, 1412, 935, 3711, 4693, 44368, 17, 264, 487, 16, 2686, 289, 481, 322, 24065, 16, 445, 2111, 701, 2117, 329, 29343, 432, 20113, 16355, 1356, 18, 17580, 13004, 5790, 1038, 9601, 281, 8111, 416, 7811, 16, 515, 726, 6476, 294, 8151, 14515, 23523, 478, 1916, 406, 1876, 910, 282, 4698, 3678, 31273, 8009, 2266, 7001, 625, 4141, 16, 3225, 13342, 19802, 282, 6791, 13520, 519, 7518, 12994, 18, 13268, 575, 478, 672, 22407, 470, 19765, 1619, 15350, 17285, 16, 3227, 460, 15580, 40921, 10452, 717, 12248, 16, 2686, 309, 481, 19886, 41139, 1078, 477, 1963, 632, 1891, 324, 25448, 40345, 18, 1665, 367, 1011, 575, 30975, 30716, 35027, 1375, 894, 289, 8740, 2919, 17443, 309, 1533, 12994, 18, 6290, 5897, 4699, 3303, 12411, 289, 20113, 16355, 1262, 478, 1916, 406, 368, 470, 3005, 12259, 965, 4745, 651, 19595, 30, 8042, 16, 367, 478, 15, 28, 470, 1653, 17, 2767, 45683, 33140, 16, 1830, 10641, 1712, 12080, 26615, 289, 1653, 895, 12436, 3124, 281, 4091, 309, 2398, 18, 459, 3424, 6075, 701, 4652, 1543, 575, 12030, 16, 374, 289, 282, 19163, 3303, 38809, 18, 19873, 448, 20113, 16355, 1262, 9537, 47341, 18653, 289, 2957, 4030, 29947, 282, 6791, 13520, 519, 1912, 12994, 18, 740, 289, 1858, 478, 672, 22407, 470, 32337, 16, 33701, 28654, 478, 1916, 406, 368, 470, 810, 303, 1043, 506, 16, 367, 282, 1851, 17, 299, 2083, 16432, 7583, 4966, 22356, 1472, 1421, 26654, 18, 2046, 282, 10130, 21166, 2497, 6217, 312, 1412, 6494, 29240, 282, 25152, 16, 8103, 2417, 3457, 10556, 448, 4744, 1465, 289, 21648, 23625, 1743, 519, 9764, 18, 365, 6031, 949, 10616, 381, 17147, 7977, 10750, 6406, 14299, 23902, 30, 9965, 282, 4356, 478, 1916, 406, 368, 861, 27489, 1619, 12310, 282, 5271, 478, 1916, 406, 368, 470, 1559, 21933, 39747, 297, 15432, 16, 32471, 1510, 2123, 12994, 18, 3791, 2072, 32074, 12525, 29343, 434, 7586, 6776, 414, 309, 1595, 14299, 1033, 1533, 23651, 30, 19791, 13924, 473, 4234, 12994, 934, 25448, 1625, 473, 2783, 934, 625, 4141, 473, 3572, 934, 9762, 2423, 5269, 473, 3572, 934, 30301, 611, 473, 3572, 814, 478, 4348, 939, 7187, 18397, 18653, 1086, 282, 1764, 13295, 1484, 16, 289, 1299, 3225, 481, 2048, 18, 34165, 20975, 939, 12549, 19718, 16, 32683, 7213, 18, 8269, 16, 1800, 656, 18397, 29240, 282, 31277, 16, 8074, 326, 1033, 6459, 12994, 910, 510, 1109, 1011, 7977, 1673, 6964, 478, 1916, 406, 368, 470, 4210, 9762, 2423, 5269, 282, 17130, 478, 682, 18579, 17, 672, 15673, 861, 31312, 10133, 282, 1764, 13295, 1484, 478, 1916, 406, 382, 470, 35386, 1248, 5284, 16, 4055, 3802, 16, 282, 4377, 20909, 16, 988, 773, 840, 22738, 20065, 478, 16846, 5361, 363, 861, 2, 1, 87, 1456, 81, 2448, 30, 8215, 5675, 843, 292, 21100, 6363, 403, 2318, 375, 895, 12848, 1595, 3059, 282, 10264, 808, 18, 889, 322, 8337, 343, 16, 367, 4193, 309, 6555, 2768, 16, 41988, 1176, 411, 11861, 18, 365, 803, 1045, 1188, 6144, 1518, 2353, 8010, 5848, 6127, 1505, 10438, 7868, 16, 3592, 1378, 294, 14557, 1703, 2117, 277, 282, 13822, 18, 31224, 30, 8215, 5675, 843, 292, 21100, 6363, 403, 2318, 375, 37467, 2159, 10404, 16, 6442, 1511, 14768, 624, 277, 13156, 16, 17921, 281, 21285, 18, 824, 3163, 2236, 411, 7725, 1051, 10015, 478, 15210, 910, 11946, 4040, 12651, 25483, 7760, 403, 2318, 884, 282, 27246, 18, 11101, 6080, 478, 13261, 470, 45670, 16, 374, 17978, 14631, 6677, 5675, 843, 292, 21100, 4821, 324, 30, 478, 4441, 895, 18815, 289, 1800, 16, 289, 282, 3178, 24083, 8560, 861, 365, 3781, 17, 12495, 5675, 843, 292, 21100, 322, 2458, 34991, 1247, 14631, 6677, 11413, 519, 26337, 4075, 5439, 18, 4824, 411, 7725, 1051, 478, 32485, 18, 8381, 470, 282, 5675, 843, 292, 2260, 288, 4642, 15135, 16, 374, 282, 6449, 1750, 4498, 3419, 322, 381, 31330, 16, 367, 38508, 26822, 403, 2318, 884, 309, 6555, 2768, 18, 11333, 14326, 7897, 322, 30523, 18, 403, 2318, 375, 36289, 5675, 843, 292, 22813, 1715, 2852, 986, 18, 817, 685, 9540, 18813, 20286, 5119, 334, 10392, 10321, 16, 9818, 10321, 289, 10126, 1147, 32807, 1939, 3597, 5049, 779, 1011, 924, 16, 428, 411, 11413, 7777, 505, 37718, 9216, 510, 10121, 2228, 326, 11812, 18, 2667, 978, 281, 4120, 6982, 779, 403, 2318, 375, 5931, 23267, 12130, 11413, 18, 4756, 685, 309, 4095, 2993, 4163, 282, 20043, 27898, 2891, 16, 282, 970, 2875, 282, 3266, 1212, 4454, 1207, 334, 4940, 960, 2226, 395, 289, 3266, 1212, 4454, 1207, 334, 19697, 4154, 6710, 18, 365, 2615, 1205, 12457, 5675, 843, 292, 2260, 288, 4520, 403, 2318, 375, 5009, 2022, 1033, 9469, 32765, 15678, 289, 11141, 42016, 16, 6113, 9429, 40158, 29582, 30, 478, 1140, 703, 282, 27246, 5863, 20900, 1825, 1051, 16, 289, 417, 3478, 697, 15369, 2795, 749, 10641, 973, 20862, 33500, 861, 365, 4018, 1045, 28402, 851, 804, 1715, 491, 2692, 4500, 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 ]
[ 687, 282, 4301, 1764, 13295, 607, 16, 515, 289, 282, 42620, 35772, 28737, 18, 22000, 5790, 5290, 349, 478, 1916, 406, 1082, 861, 19770, 3583, 15722, 1373, 575, 9537, 5199, 424, 1595, 6457, 289, 6330, 4732, 43024, 7212, 16432, 16, 24375, 274, 505, 294, 8151, 23523, 519, 6791, 16666, 2511, 30, 25, 18, 740, 1011, 4116, 1619, 6876, 2411, 16596, 11274, 343, 7739, 4151, 309, 7266, 4335, 1879, 1745, 322, 14985, 7926, 649, 14274, 21680, 1321, 18, 1681, 6398, 4056, 5544, 25822, 382, 20113, 16355, 1262, 34815, 7586, 1653, 17, 2767, 21648, 49735, 24877, 289, 21398, 16432, 30975, 11701, 510, 282, 6031, 7732, 14596, 22588, 477, 39135, 1281, 30, 3940, 282, 4356, 29343, 416, 4966, 18, 365, 21655, 5544, 25822, 454, 4966, 4732, 7026, 16, 20318, 28659, 309, 23805, 14137, 5199, 282, 13441, 18, 2046, 4300, 16, 515, 7826, 30975, 30716, 4732, 14799, 282, 19802, 16, 18695, 6611, 478, 672, 22407, 470, 6281, 1033, 11435, 18, 365, 17343, 12525, 38913, 4966, 2742, 396, 43878, 288, 1855, 48610, 18214, 26700, 16, 7134, 11222, 16, 6133, 29343, 448, 20113, 16355, 1262, 322, 6336, 3306, 10230, 16, 2454, 274, 1293, 445, 4687, 5514, 289, 8740, 38007, 309, 18101, 1533, 23651, 18, 740, 289, 1858, 3216, 591, 20381, 46586, 5420, 322, 37052, 16, 367, 19060, 281, 9640, 16, 4445, 5199, 424, 1595, 6457, 289, 10587, 25818, 4698, 11693, 7977, 281, 13303, 12270, 1472, 282, 1272, 26654, 651, 6603, 30, 7703, 18, 6217, 312, 1412, 935, 3711, 4693, 44368, 17, 264, 487, 16, 2686, 289, 481, 322, 24065, 16, 445, 2111, 701, 2117, 329, 29343, 432, 20113, 16355, 1356, 18, 17580, 13004, 5790, 1038, 9601, 281, 8111, 416, 7811, 16, 515, 726, 6476, 294, 8151, 14515, 23523, 478, 1916, 406, 1876, 910, 282, 4698, 3678, 31273, 8009, 2266, 7001, 625, 4141, 16, 3225, 13342, 19802, 282, 6791, 13520, 519, 7518, 12994, 18, 13268, 575, 478, 672, 22407, 470, 19765, 1619, 15350, 17285, 16, 3227, 460, 15580, 40921, 10452, 717, 12248, 16, 2686, 309, 481, 19886, 41139, 1078, 477, 1963, 632, 1891, 324, 25448, 40345, 18, 1665, 367, 1011, 575, 30975, 30716, 35027, 1375, 894, 289, 8740, 2919, 17443, 309, 1533, 12994, 18, 6290, 5897, 4699, 3303, 12411, 289, 20113, 16355, 1262, 478, 1916, 406, 368, 470, 3005, 12259, 965, 4745, 651, 19595, 30, 8042, 16, 367, 478, 15, 28, 470, 1653, 17, 2767, 45683, 33140, 16, 1830, 10641, 1712, 12080, 26615, 289, 1653, 895, 12436, 3124, 281, 4091, 309, 2398, 18, 459, 3424, 6075, 701, 4652, 1543, 575, 12030, 16, 374, 289, 282, 19163, 3303, 38809, 18, 19873, 448, 20113, 16355, 1262, 9537, 47341, 18653, 289, 2957, 4030, 29947, 282, 6791, 13520, 519, 1912, 12994, 18, 740, 289, 1858, 478, 672, 22407, 470, 32337, 16, 33701, 28654, 478, 1916, 406, 368, 470, 810, 303, 1043, 506, 16, 367, 282, 1851, 17, 299, 2083, 16432, 7583, 4966, 22356, 1472, 1421, 26654, 18, 2046, 282, 10130, 21166, 2497, 6217, 312, 1412, 6494, 29240, 282, 25152, 16, 8103, 2417, 3457, 10556, 448, 4744, 1465, 289, 21648, 23625, 1743, 519, 9764, 18, 365, 6031, 949, 10616, 381, 17147, 7977, 10750, 6406, 14299, 23902, 30, 9965, 282, 4356, 478, 1916, 406, 368, 861, 27489, 1619, 12310, 282, 5271, 478, 1916, 406, 368, 470, 1559, 21933, 39747, 297, 15432, 16, 32471, 1510, 2123, 12994, 18, 3791, 2072, 32074, 12525, 29343, 434, 7586, 6776, 414, 309, 1595, 14299, 1033, 1533, 23651, 30, 19791, 13924, 473, 4234, 12994, 934, 25448, 1625, 473, 2783, 934, 625, 4141, 473, 3572, 934, 9762, 2423, 5269, 473, 3572, 934, 30301, 611, 473, 3572, 814, 478, 4348, 939, 7187, 18397, 18653, 1086, 282, 1764, 13295, 1484, 16, 289, 1299, 3225, 481, 2048, 18, 34165, 20975, 939, 12549, 19718, 16, 32683, 7213, 18, 8269, 16, 1800, 656, 18397, 29240, 282, 31277, 16, 8074, 326, 1033, 6459, 12994, 910, 510, 1109, 1011, 7977, 1673, 6964, 478, 1916, 406, 368, 470, 4210, 9762, 2423, 5269, 282, 17130, 478, 682, 18579, 17, 672, 15673, 861, 31312, 10133, 282, 1764, 13295, 1484, 478, 1916, 406, 382, 470, 35386, 1248, 5284, 16, 4055, 3802, 16, 282, 4377, 20909, 16, 988, 773, 840, 22738, 20065, 478, 16846, 5361, 363, 861, 2, 1, 87, 1456, 81, 2448, 30, 8215, 5675, 843, 292, 21100, 6363, 403, 2318, 375, 895, 12848, 1595, 3059, 282, 10264, 808, 18, 889, 322, 8337, 343, 16, 367, 4193, 309, 6555, 2768, 16, 41988, 1176, 411, 11861, 18, 365, 803, 1045, 1188, 6144, 1518, 2353, 8010, 5848, 6127, 1505, 10438, 7868, 16, 3592, 1378, 294, 14557, 1703, 2117, 277, 282, 13822, 18, 31224, 30, 8215, 5675, 843, 292, 21100, 6363, 403, 2318, 375, 37467, 2159, 10404, 16, 6442, 1511, 14768, 624, 277, 13156, 16, 17921, 281, 21285, 18, 824, 3163, 2236, 411, 7725, 1051, 10015, 478, 15210, 910, 11946, 4040, 12651, 25483, 7760, 403, 2318, 884, 282, 27246, 18, 11101, 6080, 478, 13261, 470, 45670, 16, 374, 17978, 14631, 6677, 5675, 843, 292, 21100, 4821, 324, 30, 478, 4441, 895, 18815, 289, 1800, 16, 289, 282, 3178, 24083, 8560, 861, 365, 3781, 17, 12495, 5675, 843, 292, 21100, 322, 2458, 34991, 1247, 14631, 6677, 11413, 519, 26337, 4075, 5439, 18, 4824, 411, 7725, 1051, 478, 32485, 18, 8381, 470, 282, 5675, 843, 292, 2260, 288, 4642, 15135, 16, 374, 282, 6449, 1750, 4498, 3419, 322, 381, 31330, 16, 367, 38508, 26822, 403, 2318, 884, 309, 6555, 2768, 18, 11333, 14326, 7897, 322, 30523, 18, 403, 2318, 375, 36289, 5675, 843, 292, 22813, 1715, 2852, 986, 18, 817, 685, 9540, 18813, 20286, 5119, 334, 10392, 10321, 16, 9818, 10321, 289, 10126, 1147, 32807, 1939, 3597, 5049, 779, 1011, 924, 16, 428, 411, 11413, 7777, 505, 37718, 9216, 510, 10121, 2228, 326, 11812, 18, 2667, 978, 281, 4120, 6982, 779, 403, 2318, 375, 5931, 23267, 12130, 11413, 18, 4756, 685, 309, 4095, 2993, 4163, 282, 20043, 27898, 2891, 16, 282, 970, 2875, 282, 3266, 1212, 4454, 1207, 334, 4940, 960, 2226, 395, 289, 3266, 1212, 4454, 1207, 334, 19697, 4154, 6710, 18, 365, 2615, 1205, 12457, 5675, 843, 292, 2260, 288, 4520, 403, 2318, 375, 5009, 2022, 1033, 9469, 32765, 15678, 289, 11141, 42016, 16, 6113, 9429, 40158, 29582, 30, 478, 1140, 703, 282, 27246, 5863, 20900, 1825, 1051, 16, 289, 417, 3478, 697, 15369, 2795, 749, 10641, 973, 20862, 33500, 861, 365, 4018, 1045, 28402, 851, 804, 1715, 491, 2692, 4500, 18 ]
[ 35439, 282, 1767, 33631, 3623, 16, 6226, 30863, 6846, 16, 49336, 38806, 16, 3623, 19066, 42868, 21240, 16, 371, 40828, 7904, 38269, 38806, 18, 478, 4408, 12821, 34396, 35439, 43706, 2364, 430, 16, 24, 3763, 17963, 12670, 16, 12314, 1569, 46724, 309, 7512, 16, 43256, 4833, 491, 16, 25, 5096, 2791, 910, 510, 3828, 309, 33913, 334, 8872, 4018, 779, 403, 2318, 375, 18, 5452, 6482, 1157, 478, 32485, 18, 8381, 470, 282, 38530, 16, 7684, 3920, 281, 5675, 843, 292, 2260, 288, 4520, 16, 4266, 16, 374, 4700, 17, 3697, 36073, 26177, 281, 403, 2318, 265, 536, 289, 505, 6144, 1518, 322, 639, 18, 478, 17114, 843, 292, 22813, 44656, 16, 11103, 3576, 22807, 282, 49640, 1110, 298, 2210, 7245, 16, 961, 3343, 9885, 5341, 306, 11960, 4385, 18, 1345, 16, 2091, 16, 7107, 27861, 16, 515, 821, 3378, 42588, 16, 510, 2548, 1176, 411, 11861, 18, 510, 740, 481, 26566, 24363, 281, 30653, 536, 6144, 1518, 30, 745, 27251, 1423, 2768, 16, 656, 510, 1423, 861, 365, 4018, 1045, 5675, 843, 292, 22813, 38041, 5836, 282, 1568, 290, 33631, 3623, 22711, 26233, 7868, 473, 275, 7367, 282, 3941, 1760, 3990, 3734, 779, 934, 961, 29559, 37703, 45304, 22711, 26233, 7868, 18, 478, 6039, 13961, 3885, 1007, 309, 2846, 7663, 9461, 281, 9752, 16349, 15532, 289, 7300, 3951, 697, 14938, 16959, 16, 367, 697, 590, 5058, 899, 783, 282, 26219, 23973, 881, 281, 12864, 979, 18811, 15964, 9461, 2879, 953, 4460, 798, 519, 430, 3612, 2801, 779, 18, 967, 1838, 5131, 549, 8010, 5119, 510, 9193, 5849, 5247, 8165, 590, 5058, 40923, 282, 5305, 5118, 281, 26005, 30490, 5738, 910, 510, 9299, 403, 2318, 375, 309, 33913, 18, 32204, 290, 18979, 309, 3734, 1205, 16, 5037, 11413, 27834, 16, 374, 478, 1208, 3192, 309, 11035, 478, 6781, 490, 434, 10485, 16, 2003, 5134, 475, 7272, 334, 32084, 14576, 617, 282, 1355, 10365, 4792, 3283, 16, 309, 32936, 43219, 945, 416, 9779, 16, 46252, 314, 627, 390, 16, 14627, 5946, 34535, 434, 10547, 16, 2303, 1891, 436, 5526, 427, 289, 2303, 412, 4658, 917, 16, 371, 10634, 16395, 432, 21240, 16, 309, 32936, 16, 11940, 281, 17924, 15273, 22711, 11242, 861, 478, 677, 4289, 15935, 3171, 10286, 2003, 25818, 6127, 1505, 10438, 7868, 39705, 6997, 16, 38992, 626, 4486, 282, 4301, 8547, 294, 28705, 21741, 9806, 282, 13822, 282, 2801, 1045, 16, 15698, 2904, 10179, 6503, 27053, 1967, 7868, 910, 510, 11466, 937, 403, 2318, 375, 18, 2, 1, 87, 1456, 81, 2448, 30, 1140, 6616, 2166, 282, 22200, 30850, 322, 4116, 6229, 4697, 16, 428, 3903, 12816, 16, 289, 23350, 1578, 282, 11099, 1533, 17, 2783, 9, 43142, 16, 4652, 13004, 411, 1639, 289, 749, 924, 906, 12766, 2128, 324, 18, 1895, 2253, 16, 2616, 1717, 15369, 2795, 411, 22200, 16, 1747, 309, 5066, 19803, 510, 15743, 28145, 18222, 309, 1335, 11056, 16, 367, 29954, 477, 3040, 11302, 16799, 1525, 2003, 294, 430, 3750, 18, 31224, 30, 563, 2885, 2357, 1533, 2634, 6814, 22200, 1624, 290, 2114, 1061, 3612, 4056, 10703, 478, 18386, 18, 8381, 470, 1624, 21473, 282, 9814, 34750, 20030, 272, 18, 640, 1335, 11056, 282, 21030, 3594, 292, 8231, 2125, 40090, 28145, 16, 309, 1639, 840, 9258, 506, 16, 2616, 1717, 411, 6814, 2450, 1083, 299, 42837, 553, 15369, 2795, 18, 4530, 867, 16, 334, 3761, 4335, 11861, 478, 32485, 18, 8381, 910, 281, 14978, 5009, 735, 4486, 6814, 282, 15209, 726, 1589, 12978, 18, 21636, 1821, 1924, 25326, 290, 5009, 4840, 4286, 25193, 19361, 22200, 322, 3238, 16317, 16, 453, 428, 17437, 19024, 21811, 6814, 22200, 282, 1175, 5915, 11534, 3230, 12911, 2634, 18, 385, 9752, 1209, 18911, 16, 282, 970, 2875, 322, 11940, 281, 30539, 15273, 17421, 16, 678, 895, 25705, 2364, 6374, 17, 10590, 2634, 510, 20526, 4760, 309, 1177, 2948, 1003, 16, 289, 282, 3453, 2450, 1083, 299, 42837, 553, 5065, 4371, 322, 41172, 18, 5333, 2175, 16, 282, 6099, 360, 5791, 16, 21398, 12350, 282, 11099, 1533, 17, 2783, 9, 43142, 16, 515, 282, 17618, 18911, 13064, 5009, 11504, 840, 6353, 13761, 349, 14536, 978, 21361, 18, 20012, 16, 374, 4652, 13004, 43142, 289, 519, 478, 609, 8142, 1672, 470, 4478, 9001, 9620, 906, 12766, 2128, 324, 16, 334, 1758, 20560, 25036, 16, 282, 22200, 15492, 530, 4652, 4286, 23203, 3134, 18, 985, 15833, 13156, 478, 32485, 18, 8381, 910, 3848, 1223, 282, 15209, 16, 12700, 16, 374, 309, 22908, 289, 519, 24562, 3921, 977, 23131, 6171, 9573, 2632, 16, 282, 4698, 3678, 1747, 11447, 5170, 360, 478, 343, 5745, 305, 432, 470, 43142, 282, 6660, 292, 34461, 14820, 18, 478, 29579, 1122, 6977, 20597, 2768, 30, 7649, 467, 13305, 16, 12596, 6646, 26235, 19690, 8895, 16, 5960, 1867, 36749, 16, 31104, 10528, 289, 453, 5287, 16, 515, 2616, 17, 299, 1513, 5009, 4138, 16, 289, 1336, 745, 5487, 47883, 910, 510, 2548, 1176, 411, 7725, 1051, 282, 8231, 18, 3791, 16, 334, 3163, 15479, 16, 12350, 21398, 14053, 17353, 16, 988, 5891, 5802, 42588, 281, 15037, 473, 41726, 13255, 672, 13, 510, 697, 16, 428, 289, 2419, 29083, 16, 12350, 39310, 27604, 309, 23144, 12466, 18, 967, 803, 289, 15369, 6208, 9573, 2632, 478, 275, 4577, 470, 8945, 322, 9553, 18, 478, 22235, 726, 2552, 7996, 840, 583, 5221, 16, 2616, 38039, 18, 2681, 15597, 478, 419, 29383, 470, 15369, 2795, 322, 1747, 16, 1696, 773, 840, 16859, 971, 2319, 17, 299, 13541, 16, 581, 289, 329, 1129, 726, 1617, 13662, 8332, 3361, 281, 47439, 18, 740, 39245, 1952, 289, 9501, 1952, 16, 2091, 16, 1314, 8329, 411, 3322, 19478, 9522, 25455, 910, 510, 10050, 2107, 18290, 18, 365, 17618, 12466, 289, 519, 24562, 6927, 709, 26682, 12094, 879, 25799, 478, 486, 265, 20128, 910, 289, 3531, 24562, 1698, 6353, 13029, 3490, 6730, 309, 22908, 18, 478, 672, 1042, 432, 329, 813, 39310, 4858, 530, 3757, 687, 282, 4542, 13652, 4315, 2169, 294, 2019, 536, 16, 367, 7760, 20163, 953, 2396, 8085, 16, 2805, 282, 16237, 10705, 16, 3716, 1003, 18, 2787, 575, 3240, 289, 281, 478, 326, 1235, 2855, 11593, 1749, 15524, 45180, 749, 835, 289, 2504, 697, 322, 14545, 305, 16, 322, 1548, 374, 29126, 9095, 16, 367, 1548, 374, 1139, 27033, 18, 403, 2222, 575, 16637, 4368, 6138, 23035, 326, 687, 309, 13201, 16, 289, 309, 11204, 9573, 16336, 6110, 322, 349, 2655, 1330, 13254 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35439, 282, 1767, 33631, 3623, 16, 6226, 30863, 6846, 16, 49336, 38806, 16, 3623, 19066, 42868, 21240, 16, 371, 40828, 7904, 38269, 38806, 18, 478, 4408, 12821, 34396, 35439, 43706, 2364, 430, 16, 24, 3763, 17963, 12670, 16, 12314, 1569, 46724, 309, 7512, 16, 43256, 4833, 491, 16, 25, 5096, 2791, 910, 510, 3828, 309, 33913, 334, 8872, 4018, 779, 403, 2318, 375, 18, 5452, 6482, 1157, 478, 32485, 18, 8381, 470, 282, 38530, 16, 7684, 3920, 281, 5675, 843, 292, 2260, 288, 4520, 16, 4266, 16, 374, 4700, 17, 3697, 36073, 26177, 281, 403, 2318, 265, 536, 289, 505, 6144, 1518, 322, 639, 18, 478, 17114, 843, 292, 22813, 44656, 16, 11103, 3576, 22807, 282, 49640, 1110, 298, 2210, 7245, 16, 961, 3343, 9885, 5341, 306, 11960, 4385, 18, 1345, 16, 2091, 16, 7107, 27861, 16, 515, 821, 3378, 42588, 16, 510, 2548, 1176, 411, 11861, 18, 510, 740, 481, 26566, 24363, 281, 30653, 536, 6144, 1518, 30, 745, 27251, 1423, 2768, 16, 656, 510, 1423, 861, 365, 4018, 1045, 5675, 843, 292, 22813, 38041, 5836, 282, 1568, 290, 33631, 3623, 22711, 26233, 7868, 473, 275, 7367, 282, 3941, 1760, 3990, 3734, 779, 934, 961, 29559, 37703, 45304, 22711, 26233, 7868, 18, 478, 6039, 13961, 3885, 1007, 309, 2846, 7663, 9461, 281, 9752, 16349, 15532, 289, 7300, 3951, 697, 14938, 16959, 16, 367, 697, 590, 5058, 899, 783, 282, 26219, 23973, 881, 281, 12864, 979, 18811, 15964, 9461, 2879, 953, 4460, 798, 519, 430, 3612, 2801, 779, 18, 967, 1838, 5131, 549, 8010, 5119, 510, 9193, 5849, 5247, 8165, 590, 5058, 40923, 282, 5305, 5118, 281, 26005, 30490, 5738, 910, 510, 9299, 403, 2318, 375, 309, 33913, 18, 32204, 290, 18979, 309, 3734, 1205, 16, 5037, 11413, 27834, 16, 374, 478, 1208, 3192, 309, 11035, 478, 6781, 490, 434, 10485, 16, 2003, 5134, 475, 7272, 334, 32084, 14576, 617, 282, 1355, 10365, 4792, 3283, 16, 309, 32936, 43219, 945, 416, 9779, 16, 46252, 314, 627, 390, 16, 14627, 5946, 34535, 434, 10547, 16, 2303, 1891, 436, 5526, 427, 289, 2303, 412, 4658, 917, 16, 371, 10634, 16395, 432, 21240, 16, 309, 32936, 16, 11940, 281, 17924, 15273, 22711, 11242, 861, 478, 677, 4289, 15935, 3171, 10286, 2003, 25818, 6127, 1505, 10438, 7868, 39705, 6997, 16, 38992, 626, 4486, 282, 4301, 8547, 294, 28705, 21741, 9806, 282, 13822, 282, 2801, 1045, 16, 15698, 2904, 10179, 6503, 27053, 1967, 7868, 910, 510, 11466, 937, 403, 2318, 375, 18, 2, 1, 87, 1456, 81, 2448, 30, 1140, 6616, 2166, 282, 22200, 30850, 322, 4116, 6229, 4697, 16, 428, 3903, 12816, 16, 289, 23350, 1578, 282, 11099, 1533, 17, 2783, 9, 43142, 16, 4652, 13004, 411, 1639, 289, 749, 924, 906, 12766, 2128, 324, 18, 1895, 2253, 16, 2616, 1717, 15369, 2795, 411, 22200, 16, 1747, 309, 5066, 19803, 510, 15743, 28145, 18222, 309, 1335, 11056, 16, 367, 29954, 477, 3040, 11302, 16799, 1525, 2003, 294, 430, 3750, 18, 31224, 30, 563, 2885, 2357, 1533, 2634, 6814, 22200, 1624, 290, 2114, 1061, 3612, 4056, 10703, 478, 18386, 18, 8381, 470, 1624, 21473, 282, 9814, 34750, 20030, 272, 18, 640, 1335, 11056, 282, 21030, 3594, 292, 8231, 2125, 40090, 28145, 16, 309, 1639, 840, 9258, 506, 16, 2616, 1717, 411, 6814, 2450, 1083, 299, 42837, 553, 15369, 2795, 18, 4530, 867, 16, 334, 3761, 4335, 11861, 478, 32485, 18, 8381, 910, 281, 14978, 5009, 735, 4486, 6814, 282, 15209, 726, 1589, 12978, 18, 21636, 1821, 1924, 25326, 290, 5009, 4840, 4286, 25193, 19361, 22200, 322, 3238, 16317, 16, 453, 428, 17437, 19024, 21811, 6814, 22200, 282, 1175, 5915, 11534, 3230, 12911, 2634, 18, 385, 9752, 1209, 18911, 16, 282, 970, 2875, 322, 11940, 281, 30539, 15273, 17421, 16, 678, 895, 25705, 2364, 6374, 17, 10590, 2634, 510, 20526, 4760, 309, 1177, 2948, 1003, 16, 289, 282, 3453, 2450, 1083, 299, 42837, 553, 5065, 4371, 322, 41172, 18, 5333, 2175, 16, 282, 6099, 360, 5791, 16, 21398, 12350, 282, 11099, 1533, 17, 2783, 9, 43142, 16, 515, 282, 17618, 18911, 13064, 5009, 11504, 840, 6353, 13761, 349, 14536, 978, 21361, 18, 20012, 16, 374, 4652, 13004, 43142, 289, 519, 478, 609, 8142, 1672, 470, 4478, 9001, 9620, 906, 12766, 2128, 324, 16, 334, 1758, 20560, 25036, 16, 282, 22200, 15492, 530, 4652, 4286, 23203, 3134, 18, 985, 15833, 13156, 478, 32485, 18, 8381, 910, 3848, 1223, 282, 15209, 16, 12700, 16, 374, 309, 22908, 289, 519, 24562, 3921, 977, 23131, 6171, 9573, 2632, 16, 282, 4698, 3678, 1747, 11447, 5170, 360, 478, 343, 5745, 305, 432, 470, 43142, 282, 6660, 292, 34461, 14820, 18, 478, 29579, 1122, 6977, 20597, 2768, 30, 7649, 467, 13305, 16, 12596, 6646, 26235, 19690, 8895, 16, 5960, 1867, 36749, 16, 31104, 10528, 289, 453, 5287, 16, 515, 2616, 17, 299, 1513, 5009, 4138, 16, 289, 1336, 745, 5487, 47883, 910, 510, 2548, 1176, 411, 7725, 1051, 282, 8231, 18, 3791, 16, 334, 3163, 15479, 16, 12350, 21398, 14053, 17353, 16, 988, 5891, 5802, 42588, 281, 15037, 473, 41726, 13255, 672, 13, 510, 697, 16, 428, 289, 2419, 29083, 16, 12350, 39310, 27604, 309, 23144, 12466, 18, 967, 803, 289, 15369, 6208, 9573, 2632, 478, 275, 4577, 470, 8945, 322, 9553, 18, 478, 22235, 726, 2552, 7996, 840, 583, 5221, 16, 2616, 38039, 18, 2681, 15597, 478, 419, 29383, 470, 15369, 2795, 322, 1747, 16, 1696, 773, 840, 16859, 971, 2319, 17, 299, 13541, 16, 581, 289, 329, 1129, 726, 1617, 13662, 8332, 3361, 281, 47439, 18, 740, 39245, 1952, 289, 9501, 1952, 16, 2091, 16, 1314, 8329, 411, 3322, 19478, 9522, 25455, 910, 510, 10050, 2107, 18290, 18, 365, 17618, 12466, 289, 519, 24562, 6927, 709, 26682, 12094, 879, 25799, 478, 486, 265, 20128, 910, 289, 3531, 24562, 1698, 6353, 13029, 3490, 6730, 309, 22908, 18, 478, 672, 1042, 432, 329, 813, 39310, 4858, 530, 3757, 687, 282, 4542, 13652, 4315, 2169, 294, 2019, 536, 16, 367, 7760, 20163, 953, 2396, 8085, 16, 2805, 282, 16237, 10705, 16, 3716, 1003, 18, 2787, 575, 3240, 289, 281, 478, 326, 1235, 2855, 11593, 1749, 15524, 45180, 749, 835, 289, 2504, 697, 322, 14545, 305, 16, 322, 1548, 374, 29126, 9095, 16, 367, 1548, 374, 1139, 27033, 18, 403, 2222, 575, 16637, 4368, 6138, 23035, 326, 687, 309, 13201, 16, 289, 309, 11204, 9573, 16336, 6110, 322, 349, 2655, 1330, 13254 ]
[ 16, 367, 27608, 1110, 16, 2616, 26270, 18, 1397, 840, 1314, 510, 935, 7339, 6348, 910, 510, 4601, 1788, 1176, 411, 1817, 1385, 6814, 22200, 282, 3709, 411, 12466, 18, 5452, 6482, 1157, 282, 4095, 15209, 15833, 16, 374, 3556, 7870, 49565, 281, 8459, 3040, 11302, 16799, 1525, 16, 3848, 1223, 16, 2879, 309, 6148, 294, 430, 3750, 18, 2876, 13852, 27306, 16249, 309, 15369, 3162, 670, 4747, 282, 2393, 15099, 19633, 1747, 28167, 282, 13673, 1871, 5576, 18, 640, 2083, 26684, 37989, 282, 8231, 685, 14127, 12117, 10159, 18, 7106, 16, 374, 5938, 21150, 6677, 8231, 9001, 4402, 368, 380, 15043, 1624, 424, 24560, 2820, 322, 10481, 487, 9515, 16, 41218, 541, 26366, 5635, 4568, 5348, 16, 367, 1038, 5743, 48022, 309, 2990, 3594, 5616, 758, 13409, 289, 26840, 10383, 933, 16339, 891, 18, 478, 18386, 18, 8381, 470, 9372, 2829, 281, 2902, 5681, 25389, 21030, 18911, 8231, 18, 7699, 5024, 309, 6594, 25105, 3637, 10211, 17774, 19633, 510, 289, 1122, 16, 289, 1122, 12030, 4652, 7077, 19431, 18, 996, 16, 282, 10143, 1767, 2993, 953, 26218, 22166, 1061, 14550, 43142, 411, 3040, 7113, 17185, 2783, 18, 12725, 334, 27062, 38271, 16, 3440, 1209, 5582, 1829, 17122, 1530, 273, 22200, 510, 1122, 48686, 530, 1223, 10384, 1135, 411, 1760, 27, 18, 967, 322, 39214, 464, 282, 7109, 1135, 1810, 282, 2450, 1083, 299, 42837, 553, 4336, 847, 687, 1176, 14331, 18, 3739, 3440, 5582, 1829, 6246, 14916, 433, 356, 450, 18819, 16, 988, 935, 1011, 24562, 4256, 42024, 3314, 43142, 8633, 764, 3103, 12766, 2128, 432, 1801, 18, 365, 7842, 6744, 4912, 13064, 15369, 465, 4486, 31062, 4164, 282, 11099, 360, 1533, 519, 2511, 18, 5091, 17, 299, 16, 428, 282, 2041, 293, 809, 7871, 16, 24562, 3118, 8192, 349, 2948, 322, 39214, 354, 9536, 473, 2479, 25746, 6454, 411, 1533, 934, 367, 988, 16, 428, 282, 2220, 3418, 6870, 16, 371, 2059, 12766, 2128, 416, 9515, 6402, 2768, 4128, 5978, 1760, 24382, 18, 3739, 1176, 16987, 5549, 16, 18551, 778, 2743, 16, 1038, 8232, 4652, 1533, 9, 24560, 17240, 510, 4226, 15680, 6654, 43142, 840, 309, 13531, 22, 24314, 3440, 18, 9133, 1223, 2355, 265, 20128, 48686, 530, 282, 13822, 18, 18561, 16, 374, 282, 3580, 17, 454, 10010, 464, 281, 27972, 24547, 10367, 2634, 1135, 6814, 22200, 1143, 16, 828, 282, 1715, 2571, 1305, 36087, 298, 18, 1598, 1715, 17427, 3040, 7113, 43142, 6814, 22200, 282, 13822, 48686, 530, 26746, 8892, 16, 367, 282, 22799, 304, 5214, 510, 23582, 411, 1286, 6462, 18, 7883, 411, 1129, 309, 5734, 2083, 3929, 12766, 2128, 758, 16, 567, 9246, 26999, 322, 44112, 18, 365, 5579, 17, 13825, 48686, 530, 33233, 43142, 411, 3040, 7113, 816, 8564, 22, 18, 478, 33051, 2596, 470, 6814, 15492, 530, 670, 14927, 487, 282, 2393, 15099, 3440, 11678, 510, 21268, 1135, 16, 6247, 47629, 519, 24562, 898, 37785, 18, 365, 31426, 680, 1767, 16, 334, 3761, 8243, 5792, 16, 309, 1992, 5549, 2993, 8593, 1472, 23308, 15574, 450, 18819, 510, 2174, 3400, 9573, 2632, 309, 8243, 22908, 282, 4722, 445, 639, 282, 6459, 17, 292, 6206, 6705, 3931, 16, 785, 32830, 13419, 685, 282, 8023, 3440, 18, 967, 803, 764, 282, 4479, 17, 277, 309, 22908, 1767, 31327, 7282, 6957, 13917, 1476, 18, 365, 27001, 263, 5037, 15505, 22200, 6096, 2725, 23753, 5112, 4848, 290, 24562, 292, 334, 6653, 18, 478, 11227, 813, 481, 322, 14535, 16, 656, 12503, 24562, 18, 999, 4101, 5270, 986, 2650, 726, 18326, 16, 510, 2815, 2725, 23753, 18, 510, 1345, 294, 2856, 17573, 18, 17369, 5009, 9069, 7431, 2287, 9, 360, 21811, 2450, 1083, 299, 42837, 553, 18, 889, 2364, 13332, 6814, 18, 9432, 5119, 840, 9795, 848, 8087, 18, 19613, 1143, 4612, 41669, 14576, 536, 16, 29869, 24851, 16, 988, 3621, 5907, 3400, 13305, 18, 9133, 3984, 26200, 294, 1721, 954, 5119, 2103, 5171, 2452, 30, 481, 289, 3369, 1157, 22200, 16, 289, 41751, 26744, 291, 910, 510, 2815, 492, 18, 365, 33463, 1767, 411, 2123, 7181, 43142, 48686, 530, 8710, 18, 967, 803, 282, 27246, 1314, 8849, 24100, 3694, 363, 530, 770, 25746, 6454, 16, 289, 8866, 360, 5009, 9393, 9770, 15505, 22200, 5273, 13373, 5966, 18, 5452, 6482, 1157, 478, 32485, 18, 8381, 470, 282, 11147, 289, 282, 15209, 15833, 16, 374, 15492, 1378, 6814, 7265, 2175, 4660, 2625, 14476, 4617, 4887, 4863, 17, 420, 18830, 6534, 24574, 17963, 44460, 18, 3791, 282, 8231, 16, 428, 4419, 27834, 8099, 4402, 368, 380, 1275, 16, 6696, 6353, 21398, 3400, 17527, 291, 309, 21772, 14576, 651, 726, 282, 10264, 808, 6814, 450, 18819, 1698, 2464, 319, 19108, 687, 309, 15532, 281, 12460, 8309, 16, 367, 14533, 20393, 13495, 1262, 8070, 13639, 1519, 3319, 9640, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 6772, 5781, 22186, 1970, 282, 2343, 4209, 22444, 3064, 13999, 21267, 688, 1994, 503, 282, 7522, 18, 1253, 6021, 16, 374, 38739, 294, 851, 1918, 16, 289, 664, 291, 6464, 977, 281, 11605, 18, 6592, 3761, 5129, 16, 688, 1994, 503, 289, 6070, 4926, 5269, 898, 14088, 38457, 758, 2437, 9534, 411, 22832, 7069, 18, 31224, 30, 24868, 867, 428, 44956, 4705, 7269, 22186, 1970, 16, 24731, 16074, 4688, 11187, 1949, 411, 1129, 510, 33526, 688, 1994, 503, 289, 13536, 4926, 5269, 510, 15521, 3193, 16, 424, 6372, 2508, 424, 14267, 282, 30416, 452, 18, 985, 3110, 9063, 1273, 19882, 22172, 477, 7755, 309, 13156, 282, 11673, 6246, 9952, 292, 16, 4016, 4209, 281, 688, 1994, 503, 424, 7595, 7179, 4819, 4173, 478, 32572, 2334, 470, 43611, 14331, 24731, 289, 334, 8352, 23229, 1450, 10927, 282, 6835, 17, 17553, 18, 688, 1994, 503, 1833, 23588, 6818, 33432, 31614, 16, 453, 428, 4419, 322, 48981, 281, 4819, 13108, 5112, 16, 367, 687, 27096, 3645, 24418, 399, 18805, 20893, 1248, 2513, 7529, 7173, 668, 10177, 18, 640, 9155, 688, 1994, 503, 687, 2897, 18996, 282, 1634, 22144, 292, 18, 1591, 17, 7329, 16, 478, 275, 20175, 39709, 33806, 867, 16, 2616, 688, 1994, 503, 20742, 7265, 16, 515, 309, 10927, 5053, 2107, 861, 1591, 17, 8678, 16, 478, 32572, 363, 470, 8409, 722, 5112, 10173, 10656, 478, 20226, 16854, 470, 21978, 2451, 16364, 18, 14556, 688, 1994, 503, 322, 38661, 2567, 29339, 478, 370, 1728, 35076, 470, 282, 3507, 289, 322, 22472, 3604, 18, 2112, 5790, 281, 5987, 8676, 688, 1994, 503, 25073, 28039, 3692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 367, 27608, 1110, 16, 2616, 26270, 18, 1397, 840, 1314, 510, 935, 7339, 6348, 910, 510, 4601, 1788, 1176, 411, 1817, 1385, 6814, 22200, 282, 3709, 411, 12466, 18, 5452, 6482, 1157, 282, 4095, 15209, 15833, 16, 374, 3556, 7870, 49565, 281, 8459, 3040, 11302, 16799, 1525, 16, 3848, 1223, 16, 2879, 309, 6148, 294, 430, 3750, 18, 2876, 13852, 27306, 16249, 309, 15369, 3162, 670, 4747, 282, 2393, 15099, 19633, 1747, 28167, 282, 13673, 1871, 5576, 18, 640, 2083, 26684, 37989, 282, 8231, 685, 14127, 12117, 10159, 18, 7106, 16, 374, 5938, 21150, 6677, 8231, 9001, 4402, 368, 380, 15043, 1624, 424, 24560, 2820, 322, 10481, 487, 9515, 16, 41218, 541, 26366, 5635, 4568, 5348, 16, 367, 1038, 5743, 48022, 309, 2990, 3594, 5616, 758, 13409, 289, 26840, 10383, 933, 16339, 891, 18, 478, 18386, 18, 8381, 470, 9372, 2829, 281, 2902, 5681, 25389, 21030, 18911, 8231, 18, 7699, 5024, 309, 6594, 25105, 3637, 10211, 17774, 19633, 510, 289, 1122, 16, 289, 1122, 12030, 4652, 7077, 19431, 18, 996, 16, 282, 10143, 1767, 2993, 953, 26218, 22166, 1061, 14550, 43142, 411, 3040, 7113, 17185, 2783, 18, 12725, 334, 27062, 38271, 16, 3440, 1209, 5582, 1829, 17122, 1530, 273, 22200, 510, 1122, 48686, 530, 1223, 10384, 1135, 411, 1760, 27, 18, 967, 322, 39214, 464, 282, 7109, 1135, 1810, 282, 2450, 1083, 299, 42837, 553, 4336, 847, 687, 1176, 14331, 18, 3739, 3440, 5582, 1829, 6246, 14916, 433, 356, 450, 18819, 16, 988, 935, 1011, 24562, 4256, 42024, 3314, 43142, 8633, 764, 3103, 12766, 2128, 432, 1801, 18, 365, 7842, 6744, 4912, 13064, 15369, 465, 4486, 31062, 4164, 282, 11099, 360, 1533, 519, 2511, 18, 5091, 17, 299, 16, 428, 282, 2041, 293, 809, 7871, 16, 24562, 3118, 8192, 349, 2948, 322, 39214, 354, 9536, 473, 2479, 25746, 6454, 411, 1533, 934, 367, 988, 16, 428, 282, 2220, 3418, 6870, 16, 371, 2059, 12766, 2128, 416, 9515, 6402, 2768, 4128, 5978, 1760, 24382, 18, 3739, 1176, 16987, 5549, 16, 18551, 778, 2743, 16, 1038, 8232, 4652, 1533, 9, 24560, 17240, 510, 4226, 15680, 6654, 43142, 840, 309, 13531, 22, 24314, 3440, 18, 9133, 1223, 2355, 265, 20128, 48686, 530, 282, 13822, 18, 18561, 16, 374, 282, 3580, 17, 454, 10010, 464, 281, 27972, 24547, 10367, 2634, 1135, 6814, 22200, 1143, 16, 828, 282, 1715, 2571, 1305, 36087, 298, 18, 1598, 1715, 17427, 3040, 7113, 43142, 6814, 22200, 282, 13822, 48686, 530, 26746, 8892, 16, 367, 282, 22799, 304, 5214, 510, 23582, 411, 1286, 6462, 18, 7883, 411, 1129, 309, 5734, 2083, 3929, 12766, 2128, 758, 16, 567, 9246, 26999, 322, 44112, 18, 365, 5579, 17, 13825, 48686, 530, 33233, 43142, 411, 3040, 7113, 816, 8564, 22, 18, 478, 33051, 2596, 470, 6814, 15492, 530, 670, 14927, 487, 282, 2393, 15099, 3440, 11678, 510, 21268, 1135, 16, 6247, 47629, 519, 24562, 898, 37785, 18, 365, 31426, 680, 1767, 16, 334, 3761, 8243, 5792, 16, 309, 1992, 5549, 2993, 8593, 1472, 23308, 15574, 450, 18819, 510, 2174, 3400, 9573, 2632, 309, 8243, 22908, 282, 4722, 445, 639, 282, 6459, 17, 292, 6206, 6705, 3931, 16, 785, 32830, 13419, 685, 282, 8023, 3440, 18, 967, 803, 764, 282, 4479, 17, 277, 309, 22908, 1767, 31327, 7282, 6957, 13917, 1476, 18, 365, 27001, 263, 5037, 15505, 22200, 6096, 2725, 23753, 5112, 4848, 290, 24562, 292, 334, 6653, 18, 478, 11227, 813, 481, 322, 14535, 16, 656, 12503, 24562, 18, 999, 4101, 5270, 986, 2650, 726, 18326, 16, 510, 2815, 2725, 23753, 18, 510, 1345, 294, 2856, 17573, 18, 17369, 5009, 9069, 7431, 2287, 9, 360, 21811, 2450, 1083, 299, 42837, 553, 18, 889, 2364, 13332, 6814, 18, 9432, 5119, 840, 9795, 848, 8087, 18, 19613, 1143, 4612, 41669, 14576, 536, 16, 29869, 24851, 16, 988, 3621, 5907, 3400, 13305, 18, 9133, 3984, 26200, 294, 1721, 954, 5119, 2103, 5171, 2452, 30, 481, 289, 3369, 1157, 22200, 16, 289, 41751, 26744, 291, 910, 510, 2815, 492, 18, 365, 33463, 1767, 411, 2123, 7181, 43142, 48686, 530, 8710, 18, 967, 803, 282, 27246, 1314, 8849, 24100, 3694, 363, 530, 770, 25746, 6454, 16, 289, 8866, 360, 5009, 9393, 9770, 15505, 22200, 5273, 13373, 5966, 18, 5452, 6482, 1157, 478, 32485, 18, 8381, 470, 282, 11147, 289, 282, 15209, 15833, 16, 374, 15492, 1378, 6814, 7265, 2175, 4660, 2625, 14476, 4617, 4887, 4863, 17, 420, 18830, 6534, 24574, 17963, 44460, 18, 3791, 282, 8231, 16, 428, 4419, 27834, 8099, 4402, 368, 380, 1275, 16, 6696, 6353, 21398, 3400, 17527, 291, 309, 21772, 14576, 651, 726, 282, 10264, 808, 6814, 450, 18819, 1698, 2464, 319, 19108, 687, 309, 15532, 281, 12460, 8309, 16, 367, 14533, 20393, 13495, 1262, 8070, 13639, 1519, 3319, 9640, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 6772, 5781, 22186, 1970, 282, 2343, 4209, 22444, 3064, 13999, 21267, 688, 1994, 503, 282, 7522, 18, 1253, 6021, 16, 374, 38739, 294, 851, 1918, 16, 289, 664, 291, 6464, 977, 281, 11605, 18, 6592, 3761, 5129, 16, 688, 1994, 503, 289, 6070, 4926, 5269, 898, 14088, 38457, 758, 2437, 9534, 411, 22832, 7069, 18, 31224, 30, 24868, 867, 428, 44956, 4705, 7269, 22186, 1970, 16, 24731, 16074, 4688, 11187, 1949, 411, 1129, 510, 33526, 688, 1994, 503, 289, 13536, 4926, 5269, 510, 15521, 3193, 16, 424, 6372, 2508, 424, 14267, 282, 30416, 452, 18, 985, 3110, 9063, 1273, 19882, 22172, 477, 7755, 309, 13156, 282, 11673, 6246, 9952, 292, 16, 4016, 4209, 281, 688, 1994, 503, 424, 7595, 7179, 4819, 4173, 478, 32572, 2334, 470, 43611, 14331, 24731, 289, 334, 8352, 23229, 1450, 10927, 282, 6835, 17, 17553, 18, 688, 1994, 503, 1833, 23588, 6818, 33432, 31614, 16, 453, 428, 4419, 322, 48981, 281, 4819, 13108, 5112, 16, 367, 687, 27096, 3645, 24418, 399, 18805, 20893, 1248, 2513, 7529, 7173, 668, 10177, 18, 640, 9155, 688, 1994, 503, 687, 2897, 18996, 282, 1634, 22144, 292, 18, 1591, 17, 7329, 16, 478, 275, 20175, 39709, 33806, 867, 16, 2616, 688, 1994, 503, 20742, 7265, 16, 515, 309, 10927, 5053, 2107, 861, 1591, 17, 8678, 16, 478, 32572, 363, 470, 8409, 722, 5112, 10173, 10656, 478, 20226, 16854, 470, 21978, 2451, 16364, 18, 14556, 688, 1994, 503, 322, 38661, 2567, 29339, 478, 370, 1728, 35076, 470, 282, 3507, 289, 322, 22472, 3604, 18, 2112, 5790, 281, 5987, 8676, 688, 1994, 503, 25073, 28039, 3692 ]
[ 289, 1871, 2964, 17, 3509, 548, 541, 10830, 37117, 18, 1253, 25138, 13244, 282, 7522, 289, 6527, 282, 6835, 17, 15900, 16, 21227, 16, 374, 38739, 294, 851, 1918, 18, 13630, 7299, 1450, 10419, 360, 978, 16610, 18, 10129, 688, 1994, 503, 9829, 403, 1288, 5269, 22080, 9079, 17584, 21978, 1936, 6549, 282, 15913, 16, 374, 678, 289, 7199, 18, 4055, 4209, 678, 14942, 332, 16364, 282, 15913, 289, 10703, 16, 374, 4243, 18, 48331, 18474, 6814, 24731, 16, 961, 688, 1994, 503, 31764, 18, 996, 9600, 19911, 455, 15849, 334, 4820, 1100, 3025, 5324, 478, 268, 944, 297, 2516, 861, 4926, 5269, 16, 2024, 9063, 42358, 17029, 17503, 2509, 16, 4167, 2619, 3635, 2640, 2000, 18, 24731, 11980, 309, 1047, 687, 1061, 4209, 16, 785, 492, 16, 14041, 282, 21140, 16, 2657, 5077, 24418, 399, 6728, 5024, 282, 40099, 7539, 2406, 5894, 281, 27218, 9985, 19659, 47859, 18, 4016, 4209, 4926, 5269, 20356, 281, 4310, 41458, 24731, 16, 1029, 23085, 965, 349, 7179, 33811, 18, 6234, 1355, 4978, 4926, 5269, 4693, 4843, 25, 2634, 289, 31587, 697, 13357, 5413, 282, 17062, 282, 1870, 12560, 17610, 18, 9967, 1011, 924, 16, 428, 4926, 5269, 8731, 282, 17062, 26820, 281, 15631, 16, 505, 9537, 18, 985, 3014, 411, 4974, 24807, 13516, 282, 11946, 473, 27946, 8165, 475, 1533, 7269, 22186, 1970, 898, 14617, 488, 6025, 282, 7522, 934, 11707, 1749, 688, 1994, 503, 289, 4926, 5269, 898, 14088, 38457, 758, 2437, 9534, 5324, 16, 282, 502, 808, 428, 6247, 10002, 887, 16, 374, 11157, 424, 40851, 360, 1533, 519, 1939, 986, 18, 20440, 688, 1994, 503, 289, 4926, 5269, 16, 334, 697, 2202, 1433, 16, 322, 6245, 7791, 48578, 18, 9232, 21319, 688, 1994, 503, 282, 7522, 18695, 5932, 24731, 44956, 289, 1209, 7842, 478, 2796, 933, 22186, 1970, 910, 349, 6133, 2280, 11032, 42916, 1293, 986, 16, 18584, 2712, 9063, 18, 640, 5421, 1119, 411, 2145, 282, 7522, 309, 10927, 281, 29197, 2610, 411, 30426, 730, 1943, 685, 15952, 1380, 478, 301, 14945, 470, 17748, 9561, 791, 18, 365, 24731, 2913, 887, 16, 374, 1011, 23971, 688, 1994, 503, 9561, 791, 8633, 282, 3507, 16, 367, 6247, 22186, 2899, 3083, 331, 802, 309, 2923, 5781, 49642, 5854, 366, 18, 365, 11084, 6700, 16795, 33695, 2145, 22605, 9065, 868, 282, 23462, 14243, 769, 22471, 478, 2176, 20257, 477, 19297, 470, 4848, 16, 374, 1176, 411, 22186, 1970, 9170, 25421, 319, 282, 6551, 16, 289, 478, 30011, 25326, 16, 374, 827, 656, 4155, 8931, 505, 16, 502, 726, 322, 34564, 5187, 861, 415, 5435, 582, 688, 1994, 277, 10089, 9065, 868, 322, 37465, 18, 23654, 2145, 10002, 887, 16, 374, 3003, 381, 7544, 263, 5781, 25106, 639, 7239, 7735, 289, 764, 2287, 4209, 2574, 9368, 281, 12984, 2145, 17917, 635, 1367, 395, 323, 18, 985, 18479, 5792, 16, 381, 803, 309, 48490, 41575, 1484, 541, 4335, 14824, 411, 4770, 718, 836, 332, 3828, 5854, 23127, 1642, 18, 9873, 688, 1994, 503, 289, 4926, 5269, 282, 12938, 898, 39895, 19209, 632, 370, 303, 326, 16, 15145, 2750, 421, 8435, 288, 16, 36176, 31444, 39396, 1624, 457, 27715, 440, 727, 6194, 326, 16, 25946, 378, 555, 611, 16, 40540, 4414, 507, 331, 16, 367, 1038, 17748, 289, 7939, 1232, 9561, 791, 473, 10524, 11875, 39902, 4490, 814, 4149, 8982, 31505, 14267, 282, 10372, 4357, 21992, 281, 34658, 19796, 289, 24228, 32985, 4135, 18, 1488, 4189, 745, 25262, 965, 9353, 758, 282, 10372, 4357, 21992, 281, 34658, 19796, 18, 640, 5421, 1119, 282, 18248, 365, 1007, 1533, 478, 2796, 933, 22186, 1970, 470, 7544, 2853, 309, 46593, 282, 2407, 349, 30416, 313, 289, 714, 19937, 3314, 10552, 12984, 48116, 9441, 13432, 18083, 385, 487, 274, 14479, 1624, 11088, 48083, 12169, 1624, 6816, 29975, 718, 289, 17575, 4879, 3062, 364, 5269, 1492, 2, 1, 87, 1456, 81, 2448, 30, 789, 10699, 15809, 2151, 356, 831, 49392, 289, 768, 665, 23248, 5402, 582, 18187, 478, 15383, 9055, 913, 470, 9422, 9888, 3643, 9764, 1195, 478, 46410, 350, 761, 861, 3863, 10645, 10911, 356, 1275, 41025, 271, 13375, 349, 12620, 282, 21673, 16, 367, 49392, 11757, 811, 309, 4056, 1718, 4762, 30423, 19410, 7561, 18, 31224, 30, 27064, 447, 9146, 13764, 21723, 898, 10954, 1007, 309, 2615, 575, 1119, 19449, 13767, 18, 478, 39227, 324, 910, 12879, 8518, 47479, 12994, 478, 8706, 5325, 470, 1624, 22474, 309, 4038, 3139, 3255, 26039, 6992, 1275, 18, 6499, 300, 356, 873, 4446, 326, 309, 504, 962, 441, 933, 29427, 16, 367, 2552, 16, 1085, 1122, 19388, 16, 3365, 16, 374, 281, 478, 732, 296, 1960, 419, 287, 470, 39352, 13437, 3215, 25019, 18, 5043, 16, 322, 541, 478, 39227, 318, 470, 289, 2151, 356, 831, 49392, 18, 19770, 3583, 939, 7556, 4732, 10927, 18, 478, 46410, 350, 343, 470, 3207, 9287, 2948, 726, 309, 14515, 20537, 16, 515, 4579, 342, 331, 453, 289, 322, 3404, 39636, 774, 27953, 22447, 16, 40750, 9213, 281, 42594, 349, 14536, 4629, 18, 38894, 332, 329, 316, 962, 441, 1275, 334, 643, 1083, 1323, 1011, 924, 428, 309, 3968, 476, 2594, 281, 450, 11899, 32238, 496, 4223, 49392, 16, 515, 1187, 22724, 6147, 37103, 2654, 567, 19671, 521, 18, 996, 16, 6476, 294, 8151, 3298, 429, 33371, 3118, 23736, 294, 10911, 356, 4287, 16, 961, 1472, 20935, 34463, 7739, 3033, 21400, 506, 294, 4606, 6710, 17514, 14901, 476, 507, 18, 9570, 13784, 478, 15383, 1013, 470, 19910, 475, 10864, 447, 15197, 289, 16, 282, 6031, 16, 30330, 14694, 294, 1763, 341, 825, 2560, 1616, 18, 49392, 13875, 36725, 281, 28065, 16208, 486, 13784, 16, 11216, 48659, 1195, 23956, 329, 1209, 16, 46115, 282, 4713, 289, 40925, 2654, 294, 4483, 35745, 309, 4313, 33973, 1484, 5527, 440, 1508, 6258, 390, 1508, 18, 35747, 1577, 935, 322, 33140, 15702, 16, 1029, 9031, 282, 8999, 16, 367, 6258, 17823, 16, 9458, 4448, 281, 32238, 496, 16, 21919, 309, 4713, 18, 824, 24526, 8057, 473, 1517, 878, 16, 5335, 685, 5139, 5966, 13, 5527, 12258, 9031, 294, 26250, 1624, 17200, 319, 774, 18, 1533, 17, 274, 336, 707, 1063, 26816, 49392, 282, 11258, 473, 293, 853, 283, 1918, 774, 6776, 414, 309, 6258, 390, 507, 6778, 5957, 10726, 15814, 282, 1763, 22396, 11216, 282, 35847, 7561, 18, 5890, 6603, 17, 295, 18, 2667, 21842, 3848, 478, 15383, 507, 470, 3207, 35428, 10645, 16, 12425, 478, 46410, 350, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 1871, 2964, 17, 3509, 548, 541, 10830, 37117, 18, 1253, 25138, 13244, 282, 7522, 289, 6527, 282, 6835, 17, 15900, 16, 21227, 16, 374, 38739, 294, 851, 1918, 18, 13630, 7299, 1450, 10419, 360, 978, 16610, 18, 10129, 688, 1994, 503, 9829, 403, 1288, 5269, 22080, 9079, 17584, 21978, 1936, 6549, 282, 15913, 16, 374, 678, 289, 7199, 18, 4055, 4209, 678, 14942, 332, 16364, 282, 15913, 289, 10703, 16, 374, 4243, 18, 48331, 18474, 6814, 24731, 16, 961, 688, 1994, 503, 31764, 18, 996, 9600, 19911, 455, 15849, 334, 4820, 1100, 3025, 5324, 478, 268, 944, 297, 2516, 861, 4926, 5269, 16, 2024, 9063, 42358, 17029, 17503, 2509, 16, 4167, 2619, 3635, 2640, 2000, 18, 24731, 11980, 309, 1047, 687, 1061, 4209, 16, 785, 492, 16, 14041, 282, 21140, 16, 2657, 5077, 24418, 399, 6728, 5024, 282, 40099, 7539, 2406, 5894, 281, 27218, 9985, 19659, 47859, 18, 4016, 4209, 4926, 5269, 20356, 281, 4310, 41458, 24731, 16, 1029, 23085, 965, 349, 7179, 33811, 18, 6234, 1355, 4978, 4926, 5269, 4693, 4843, 25, 2634, 289, 31587, 697, 13357, 5413, 282, 17062, 282, 1870, 12560, 17610, 18, 9967, 1011, 924, 16, 428, 4926, 5269, 8731, 282, 17062, 26820, 281, 15631, 16, 505, 9537, 18, 985, 3014, 411, 4974, 24807, 13516, 282, 11946, 473, 27946, 8165, 475, 1533, 7269, 22186, 1970, 898, 14617, 488, 6025, 282, 7522, 934, 11707, 1749, 688, 1994, 503, 289, 4926, 5269, 898, 14088, 38457, 758, 2437, 9534, 5324, 16, 282, 502, 808, 428, 6247, 10002, 887, 16, 374, 11157, 424, 40851, 360, 1533, 519, 1939, 986, 18, 20440, 688, 1994, 503, 289, 4926, 5269, 16, 334, 697, 2202, 1433, 16, 322, 6245, 7791, 48578, 18, 9232, 21319, 688, 1994, 503, 282, 7522, 18695, 5932, 24731, 44956, 289, 1209, 7842, 478, 2796, 933, 22186, 1970, 910, 349, 6133, 2280, 11032, 42916, 1293, 986, 16, 18584, 2712, 9063, 18, 640, 5421, 1119, 411, 2145, 282, 7522, 309, 10927, 281, 29197, 2610, 411, 30426, 730, 1943, 685, 15952, 1380, 478, 301, 14945, 470, 17748, 9561, 791, 18, 365, 24731, 2913, 887, 16, 374, 1011, 23971, 688, 1994, 503, 9561, 791, 8633, 282, 3507, 16, 367, 6247, 22186, 2899, 3083, 331, 802, 309, 2923, 5781, 49642, 5854, 366, 18, 365, 11084, 6700, 16795, 33695, 2145, 22605, 9065, 868, 282, 23462, 14243, 769, 22471, 478, 2176, 20257, 477, 19297, 470, 4848, 16, 374, 1176, 411, 22186, 1970, 9170, 25421, 319, 282, 6551, 16, 289, 478, 30011, 25326, 16, 374, 827, 656, 4155, 8931, 505, 16, 502, 726, 322, 34564, 5187, 861, 415, 5435, 582, 688, 1994, 277, 10089, 9065, 868, 322, 37465, 18, 23654, 2145, 10002, 887, 16, 374, 3003, 381, 7544, 263, 5781, 25106, 639, 7239, 7735, 289, 764, 2287, 4209, 2574, 9368, 281, 12984, 2145, 17917, 635, 1367, 395, 323, 18, 985, 18479, 5792, 16, 381, 803, 309, 48490, 41575, 1484, 541, 4335, 14824, 411, 4770, 718, 836, 332, 3828, 5854, 23127, 1642, 18, 9873, 688, 1994, 503, 289, 4926, 5269, 282, 12938, 898, 39895, 19209, 632, 370, 303, 326, 16, 15145, 2750, 421, 8435, 288, 16, 36176, 31444, 39396, 1624, 457, 27715, 440, 727, 6194, 326, 16, 25946, 378, 555, 611, 16, 40540, 4414, 507, 331, 16, 367, 1038, 17748, 289, 7939, 1232, 9561, 791, 473, 10524, 11875, 39902, 4490, 814, 4149, 8982, 31505, 14267, 282, 10372, 4357, 21992, 281, 34658, 19796, 289, 24228, 32985, 4135, 18, 1488, 4189, 745, 25262, 965, 9353, 758, 282, 10372, 4357, 21992, 281, 34658, 19796, 18, 640, 5421, 1119, 282, 18248, 365, 1007, 1533, 478, 2796, 933, 22186, 1970, 470, 7544, 2853, 309, 46593, 282, 2407, 349, 30416, 313, 289, 714, 19937, 3314, 10552, 12984, 48116, 9441, 13432, 18083, 385, 487, 274, 14479, 1624, 11088, 48083, 12169, 1624, 6816, 29975, 718, 289, 17575, 4879, 3062, 364, 5269, 1492, 2, 1, 87, 1456, 81, 2448, 30, 789, 10699, 15809, 2151, 356, 831, 49392, 289, 768, 665, 23248, 5402, 582, 18187, 478, 15383, 9055, 913, 470, 9422, 9888, 3643, 9764, 1195, 478, 46410, 350, 761, 861, 3863, 10645, 10911, 356, 1275, 41025, 271, 13375, 349, 12620, 282, 21673, 16, 367, 49392, 11757, 811, 309, 4056, 1718, 4762, 30423, 19410, 7561, 18, 31224, 30, 27064, 447, 9146, 13764, 21723, 898, 10954, 1007, 309, 2615, 575, 1119, 19449, 13767, 18, 478, 39227, 324, 910, 12879, 8518, 47479, 12994, 478, 8706, 5325, 470, 1624, 22474, 309, 4038, 3139, 3255, 26039, 6992, 1275, 18, 6499, 300, 356, 873, 4446, 326, 309, 504, 962, 441, 933, 29427, 16, 367, 2552, 16, 1085, 1122, 19388, 16, 3365, 16, 374, 281, 478, 732, 296, 1960, 419, 287, 470, 39352, 13437, 3215, 25019, 18, 5043, 16, 322, 541, 478, 39227, 318, 470, 289, 2151, 356, 831, 49392, 18, 19770, 3583, 939, 7556, 4732, 10927, 18, 478, 46410, 350, 343, 470, 3207, 9287, 2948, 726, 309, 14515, 20537, 16, 515, 4579, 342, 331, 453, 289, 322, 3404, 39636, 774, 27953, 22447, 16, 40750, 9213, 281, 42594, 349, 14536, 4629, 18, 38894, 332, 329, 316, 962, 441, 1275, 334, 643, 1083, 1323, 1011, 924, 428, 309, 3968, 476, 2594, 281, 450, 11899, 32238, 496, 4223, 49392, 16, 515, 1187, 22724, 6147, 37103, 2654, 567, 19671, 521, 18, 996, 16, 6476, 294, 8151, 3298, 429, 33371, 3118, 23736, 294, 10911, 356, 4287, 16, 961, 1472, 20935, 34463, 7739, 3033, 21400, 506, 294, 4606, 6710, 17514, 14901, 476, 507, 18, 9570, 13784, 478, 15383, 1013, 470, 19910, 475, 10864, 447, 15197, 289, 16, 282, 6031, 16, 30330, 14694, 294, 1763, 341, 825, 2560, 1616, 18, 49392, 13875, 36725, 281, 28065, 16208, 486, 13784, 16, 11216, 48659, 1195, 23956, 329, 1209, 16, 46115, 282, 4713, 289, 40925, 2654, 294, 4483, 35745, 309, 4313, 33973, 1484, 5527, 440, 1508, 6258, 390, 1508, 18, 35747, 1577, 935, 322, 33140, 15702, 16, 1029, 9031, 282, 8999, 16, 367, 6258, 17823, 16, 9458, 4448, 281, 32238, 496, 16, 21919, 309, 4713, 18, 824, 24526, 8057, 473, 1517, 878, 16, 5335, 685, 5139, 5966, 13, 5527, 12258, 9031, 294, 26250, 1624, 17200, 319, 774, 18, 1533, 17, 274, 336, 707, 1063, 26816, 49392, 282, 11258, 473, 293, 853, 283, 1918, 774, 6776, 414, 309, 6258, 390, 507, 6778, 5957, 10726, 15814, 282, 1763, 22396, 11216, 282, 35847, 7561, 18, 5890, 6603, 17, 295, 18, 2667, 21842, 3848, 478, 15383, 507, 470, 3207, 35428, 10645, 16, 12425, 478, 46410, 350, 343 ]
[ 470, 3221, 2795, 2948, 18, 2046, 322, 4243, 537, 924, 16, 537, 4758, 18, 640, 23511, 7739, 1157, 12357, 371, 9107, 4357, 20545, 282, 4356, 7646, 289, 11534, 22121, 2529, 473, 30459, 1011, 13344, 346, 469, 1869, 2230, 301, 831, 3782, 295, 287, 309, 2776, 426, 409, 2228, 295, 707, 13, 9891, 409, 7811, 18, 37013, 269, 2230, 10231, 1236, 292, 388, 7070, 507, 19447, 611, 282, 5329, 281, 21285, 3755, 7831, 16, 11401, 1063, 31598, 334, 6619, 289, 749, 21296, 21409, 18, 5181, 16, 785, 492, 11103, 364, 282, 3998, 6740, 3298, 429, 12376, 1993, 7529, 29720, 457, 1042, 361, 16, 1029, 8641, 34037, 2482, 16480, 3969, 16, 3586, 7134, 18, 1591, 17, 7329, 16, 4960, 478, 15383, 1013, 470, 22854, 16791, 271, 2507, 16, 9602, 322, 44151, 1450, 32657, 16, 367, 567, 17, 8678, 16, 492, 1450, 505, 289, 322, 16087, 709, 18, 457, 1042, 361, 17559, 15702, 26882, 16, 1011, 1660, 726, 8119, 300, 505, 14384, 18, 2046, 16044, 5280, 364, 24900, 837, 7646, 18, 5227, 478, 46410, 350, 343, 470, 289, 15018, 701, 4024, 3025, 15825, 18, 415, 548, 10654, 874, 17, 299, 316, 962, 441, 4287, 1513, 639, 1472, 1176, 11216, 18, 459, 478, 15383, 409, 470, 5736, 17031, 3124, 43958, 282, 34874, 888, 5527, 37457, 6258, 390, 507, 1011, 1702, 405, 301, 871, 360, 3561, 28253, 764, 282, 5572, 44056, 18, 24243, 16, 322, 2291, 43958, 16, 367, 502, 16, 374, 2504, 411, 10911, 356, 1275, 322, 5354, 1146, 649, 11216, 282, 24362, 8999, 18, 5043, 16, 478, 46410, 350, 343, 470, 428, 537, 18962, 16, 428, 537, 23964, 21188, 17701, 282, 36725, 17514, 14901, 476, 507, 16, 41701, 10078, 17, 1477, 536, 322, 9253, 18, 439, 1215, 478, 15383, 507, 470, 282, 2059, 411, 34565, 333, 349, 7954, 2992, 11216, 18, 49392, 16, 16150, 22447, 282, 36725, 16, 37103, 282, 32386, 41311, 6421, 16, 515, 32238, 354, 11453, 5481, 33973, 486, 18, 5043, 16, 309, 7256, 445, 360, 328, 368, 360, 34465, 507, 7889, 282, 36725, 478, 46410, 350, 382, 470, 19941, 287, 7999, 271, 322, 25236, 17701, 16, 367, 655, 25236, 7646, 18, 768, 665, 3310, 5402, 582, 42530, 24362, 8999, 16, 5371, 275, 475, 3586, 6152, 5138, 264, 7977, 18, 8919, 16, 4213, 16, 1472, 282, 970, 16, 3882, 7525, 467, 520, 5335, 49392, 282, 33973, 877, 428, 774, 27953, 22447, 309, 5402, 582, 18, 478, 39227, 324, 470, 30346, 329, 478, 46410, 350, 382, 470, 289, 519, 9512, 7977, 1251, 478, 8706, 5325, 470, 289, 478, 44563, 1860, 11691, 347, 3663, 470, 5009, 4318, 13303, 2235, 360, 15465, 519, 3437, 12994, 18, 11333, 7036, 21723, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 11254, 18, 2, 1, 87, 1456, 81, 2448, 30, 789, 2237, 8582, 1241, 460, 3854, 2756, 9632, 536, 2394, 4309, 36082, 334, 17971, 27411, 7805, 282, 9044, 11476, 10952, 8715, 18, 27535, 299, 43850, 294, 8568, 19305, 35855, 6194, 3183, 1528, 16, 7610, 6637, 510, 5854, 2016, 21241, 6331, 293, 15886, 263, 768, 671, 301, 446, 1231, 18, 11876, 14066, 1241, 460, 312, 416, 2438, 2845, 1116, 541, 1175, 282, 17971, 27411, 7805, 18, 31224, 30, 677, 11084, 685, 8023, 26779, 6940, 14277, 40203, 282, 17971, 27411, 7805, 651, 309, 1422, 285, 7451, 4109, 282, 9044, 11476, 10952, 8715, 18, 1268, 14007, 382, 2422, 17, 15853, 46233, 1241, 460, 312, 416, 10933, 42215, 16829, 12503, 13902, 651, 519, 978, 5571, 20925, 43850, 2846, 19650, 16, 515, 475, 39023, 18, 640, 12376, 13149, 454, 16586, 718, 12112, 49164, 455, 32955, 16974, 1312, 36525, 343, 3583, 473, 660, 19595, 8715, 934, 12975, 23963, 3273, 549, 473, 660, 10952, 8715, 934, 16774, 345, 439, 809, 1117, 291, 473, 660, 17911, 8715, 13, 289, 3720, 4845, 473, 660, 31932, 8715, 814, 7669, 2209, 7739, 5793, 1241, 460, 312, 416, 334, 1514, 28941, 4304, 26633, 294, 8568, 19305, 35855, 6194, 3183, 1528, 16, 2566, 22903, 33296, 9309, 17, 13733, 16, 1586, 16, 294, 15695, 16, 31960, 11854, 382, 1715, 309, 2555, 8715, 18, 15924, 5854, 2203, 9044, 3005, 16419, 4853, 374, 309, 13375, 349, 7610, 6637, 18, 17271, 28608, 2640, 382, 7451, 309, 1422, 285, 16, 785, 475, 6247, 726, 38410, 334, 1421, 9868, 282, 30037, 582, 18, 17479, 13440, 309, 14802, 7737, 478, 293, 540, 319, 470, 5854, 2016, 46535, 950, 4084, 395, 27977, 1496, 1624, 1568, 447, 4749, 34615, 281, 44391, 47733, 8715, 16, 20060, 368, 525, 19667, 343, 6331, 293, 15886, 263, 768, 671, 301, 446, 1231, 473, 2783, 28, 8715, 13, 289, 688, 333, 2230, 3688, 411, 13340, 30576, 473, 2783, 25, 8715, 814, 430, 18, 35855, 6194, 3183, 1528, 473, 40050, 13, 376, 816, 7536, 473, 3940, 26, 15, 2692, 27, 13, 8715, 491, 18, 12836, 1241, 460, 3854, 473, 11825, 13, 376, 816, 8976, 473, 3114, 21, 15, 2692, 21, 13, 8715, 816, 18, 6331, 293, 15886, 263, 768, 671, 301, 446, 1231, 473, 7306, 277, 427, 13, 376, 4518, 24, 473, 2783, 28, 15, 3902, 26, 13, 8715, 35855, 6194, 3147, 8103, 2742, 477, 2418, 22, 8715, 16, 1241, 460, 3854, 5438, 13313, 16798, 536, 16395, 304, 41625, 17, 32592, 317, 395, 3536, 346, 45911, 18, 33350, 1887, 2418, 26, 8715, 294, 8568, 19305, 23980, 281, 45985, 3472, 3924, 477, 6740, 4570, 18, 12836, 575, 3504, 455, 541, 2992, 9868, 2418, 29, 8715, 18, 893, 31655, 41765, 1424, 33973, 877, 1195, 3121, 16, 289, 7040, 16, 374, 1450, 322, 7696, 1333, 541, 8421, 411, 371, 2684, 18, 2046, 1241, 460, 3854, 16, 2734, 714, 38866, 16, 475, 17, 2767, 12689, 651, 912, 6571, 15513, 282, 30037, 582, 5, 439, 6396, 1293, 1879, 12836, 24424, 27638, 477, 33973, 9511, 282, 1760, 21, 8715, 16, 764, 445, 6973, 743, 24374, 18, 365, 2053, 4762, 475, 16059, 2200, 16861, 304, 18, 7909, 6392, 766, 36610, 5971, 318, 16, 528, 342, 7158, 2664, 289, 20491, 5473, 24044, 291, 4025, 343, 29838, 16, 1085, 411, 1129, 1033, 7247, 1033, 10427, 2223, 18, 34216, 3450, 4636, 9328, 30346, 12782, 572, 2016, 6156, 315, 14210, 680, 2553, 18, 4541, 5854, 2016, 2145, 42592, 34116, 7505, 280, 371, 1634, 1760, 27, 8715, 13743, 1869, 15702, 282, 42297, 8715, 16, 44240, 1752, 3230, 20491, 6507, 1421, 262, 18, 28578, 343, 421, 1134, 1034, 406, 395, 2649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3221, 2795, 2948, 18, 2046, 322, 4243, 537, 924, 16, 537, 4758, 18, 640, 23511, 7739, 1157, 12357, 371, 9107, 4357, 20545, 282, 4356, 7646, 289, 11534, 22121, 2529, 473, 30459, 1011, 13344, 346, 469, 1869, 2230, 301, 831, 3782, 295, 287, 309, 2776, 426, 409, 2228, 295, 707, 13, 9891, 409, 7811, 18, 37013, 269, 2230, 10231, 1236, 292, 388, 7070, 507, 19447, 611, 282, 5329, 281, 21285, 3755, 7831, 16, 11401, 1063, 31598, 334, 6619, 289, 749, 21296, 21409, 18, 5181, 16, 785, 492, 11103, 364, 282, 3998, 6740, 3298, 429, 12376, 1993, 7529, 29720, 457, 1042, 361, 16, 1029, 8641, 34037, 2482, 16480, 3969, 16, 3586, 7134, 18, 1591, 17, 7329, 16, 4960, 478, 15383, 1013, 470, 22854, 16791, 271, 2507, 16, 9602, 322, 44151, 1450, 32657, 16, 367, 567, 17, 8678, 16, 492, 1450, 505, 289, 322, 16087, 709, 18, 457, 1042, 361, 17559, 15702, 26882, 16, 1011, 1660, 726, 8119, 300, 505, 14384, 18, 2046, 16044, 5280, 364, 24900, 837, 7646, 18, 5227, 478, 46410, 350, 343, 470, 289, 15018, 701, 4024, 3025, 15825, 18, 415, 548, 10654, 874, 17, 299, 316, 962, 441, 4287, 1513, 639, 1472, 1176, 11216, 18, 459, 478, 15383, 409, 470, 5736, 17031, 3124, 43958, 282, 34874, 888, 5527, 37457, 6258, 390, 507, 1011, 1702, 405, 301, 871, 360, 3561, 28253, 764, 282, 5572, 44056, 18, 24243, 16, 322, 2291, 43958, 16, 367, 502, 16, 374, 2504, 411, 10911, 356, 1275, 322, 5354, 1146, 649, 11216, 282, 24362, 8999, 18, 5043, 16, 478, 46410, 350, 343, 470, 428, 537, 18962, 16, 428, 537, 23964, 21188, 17701, 282, 36725, 17514, 14901, 476, 507, 16, 41701, 10078, 17, 1477, 536, 322, 9253, 18, 439, 1215, 478, 15383, 507, 470, 282, 2059, 411, 34565, 333, 349, 7954, 2992, 11216, 18, 49392, 16, 16150, 22447, 282, 36725, 16, 37103, 282, 32386, 41311, 6421, 16, 515, 32238, 354, 11453, 5481, 33973, 486, 18, 5043, 16, 309, 7256, 445, 360, 328, 368, 360, 34465, 507, 7889, 282, 36725, 478, 46410, 350, 382, 470, 19941, 287, 7999, 271, 322, 25236, 17701, 16, 367, 655, 25236, 7646, 18, 768, 665, 3310, 5402, 582, 42530, 24362, 8999, 16, 5371, 275, 475, 3586, 6152, 5138, 264, 7977, 18, 8919, 16, 4213, 16, 1472, 282, 970, 16, 3882, 7525, 467, 520, 5335, 49392, 282, 33973, 877, 428, 774, 27953, 22447, 309, 5402, 582, 18, 478, 39227, 324, 470, 30346, 329, 478, 46410, 350, 382, 470, 289, 519, 9512, 7977, 1251, 478, 8706, 5325, 470, 289, 478, 44563, 1860, 11691, 347, 3663, 470, 5009, 4318, 13303, 2235, 360, 15465, 519, 3437, 12994, 18, 11333, 7036, 21723, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 11254, 18, 2, 1, 87, 1456, 81, 2448, 30, 789, 2237, 8582, 1241, 460, 3854, 2756, 9632, 536, 2394, 4309, 36082, 334, 17971, 27411, 7805, 282, 9044, 11476, 10952, 8715, 18, 27535, 299, 43850, 294, 8568, 19305, 35855, 6194, 3183, 1528, 16, 7610, 6637, 510, 5854, 2016, 21241, 6331, 293, 15886, 263, 768, 671, 301, 446, 1231, 18, 11876, 14066, 1241, 460, 312, 416, 2438, 2845, 1116, 541, 1175, 282, 17971, 27411, 7805, 18, 31224, 30, 677, 11084, 685, 8023, 26779, 6940, 14277, 40203, 282, 17971, 27411, 7805, 651, 309, 1422, 285, 7451, 4109, 282, 9044, 11476, 10952, 8715, 18, 1268, 14007, 382, 2422, 17, 15853, 46233, 1241, 460, 312, 416, 10933, 42215, 16829, 12503, 13902, 651, 519, 978, 5571, 20925, 43850, 2846, 19650, 16, 515, 475, 39023, 18, 640, 12376, 13149, 454, 16586, 718, 12112, 49164, 455, 32955, 16974, 1312, 36525, 343, 3583, 473, 660, 19595, 8715, 934, 12975, 23963, 3273, 549, 473, 660, 10952, 8715, 934, 16774, 345, 439, 809, 1117, 291, 473, 660, 17911, 8715, 13, 289, 3720, 4845, 473, 660, 31932, 8715, 814, 7669, 2209, 7739, 5793, 1241, 460, 312, 416, 334, 1514, 28941, 4304, 26633, 294, 8568, 19305, 35855, 6194, 3183, 1528, 16, 2566, 22903, 33296, 9309, 17, 13733, 16, 1586, 16, 294, 15695, 16, 31960, 11854, 382, 1715, 309, 2555, 8715, 18, 15924, 5854, 2203, 9044, 3005, 16419, 4853, 374, 309, 13375, 349, 7610, 6637, 18, 17271, 28608, 2640, 382, 7451, 309, 1422, 285, 16, 785, 475, 6247, 726, 38410, 334, 1421, 9868, 282, 30037, 582, 18, 17479, 13440, 309, 14802, 7737, 478, 293, 540, 319, 470, 5854, 2016, 46535, 950, 4084, 395, 27977, 1496, 1624, 1568, 447, 4749, 34615, 281, 44391, 47733, 8715, 16, 20060, 368, 525, 19667, 343, 6331, 293, 15886, 263, 768, 671, 301, 446, 1231, 473, 2783, 28, 8715, 13, 289, 688, 333, 2230, 3688, 411, 13340, 30576, 473, 2783, 25, 8715, 814, 430, 18, 35855, 6194, 3183, 1528, 473, 40050, 13, 376, 816, 7536, 473, 3940, 26, 15, 2692, 27, 13, 8715, 491, 18, 12836, 1241, 460, 3854, 473, 11825, 13, 376, 816, 8976, 473, 3114, 21, 15, 2692, 21, 13, 8715, 816, 18, 6331, 293, 15886, 263, 768, 671, 301, 446, 1231, 473, 7306, 277, 427, 13, 376, 4518, 24, 473, 2783, 28, 15, 3902, 26, 13, 8715, 35855, 6194, 3147, 8103, 2742, 477, 2418, 22, 8715, 16, 1241, 460, 3854, 5438, 13313, 16798, 536, 16395, 304, 41625, 17, 32592, 317, 395, 3536, 346, 45911, 18, 33350, 1887, 2418, 26, 8715, 294, 8568, 19305, 23980, 281, 45985, 3472, 3924, 477, 6740, 4570, 18, 12836, 575, 3504, 455, 541, 2992, 9868, 2418, 29, 8715, 18, 893, 31655, 41765, 1424, 33973, 877, 1195, 3121, 16, 289, 7040, 16, 374, 1450, 322, 7696, 1333, 541, 8421, 411, 371, 2684, 18, 2046, 1241, 460, 3854, 16, 2734, 714, 38866, 16, 475, 17, 2767, 12689, 651, 912, 6571, 15513, 282, 30037, 582, 5, 439, 6396, 1293, 1879, 12836, 24424, 27638, 477, 33973, 9511, 282, 1760, 21, 8715, 16, 764, 445, 6973, 743, 24374, 18, 365, 2053, 4762, 475, 16059, 2200, 16861, 304, 18, 7909, 6392, 766, 36610, 5971, 318, 16, 528, 342, 7158, 2664, 289, 20491, 5473, 24044, 291, 4025, 343, 29838, 16, 1085, 411, 1129, 1033, 7247, 1033, 10427, 2223, 18, 34216, 3450, 4636, 9328, 30346, 12782, 572, 2016, 6156, 315, 14210, 680, 2553, 18, 4541, 5854, 2016, 2145, 42592, 34116, 7505, 280, 371, 1634, 1760, 27, 8715, 13743, 1869, 15702, 282, 42297, 8715, 16, 44240, 1752, 3230, 20491, 6507, 1421, 262, 18, 28578, 343, 421, 1134, 1034, 406, 395, 2649 ]
[ 12837, 477, 33973, 9511, 16, 294, 10814, 16, 26008, 749, 15133, 1816, 16959, 18, 365, 1771, 26738, 349, 7610, 6637, 36653, 768, 671, 301, 446, 1231, 289, 688, 333, 2230, 3688, 18, 46535, 1502, 343, 27977, 1496, 7356, 34840, 289, 21165, 322, 9253, 12599, 477, 24095, 8715, 18, 13579, 31655, 289, 37172, 31655, 2053, 15096, 334, 1760, 28, 16, 2512, 688, 333, 2230, 3688, 10750, 6406, 2261, 24, 16, 367, 768, 671, 554, 301, 1231, 322, 3882, 26646, 12376, 17866, 477, 2261, 26, 8715, 18, 2046, 10904, 4562, 6331, 293, 15886, 263, 282, 16876, 20228, 475, 17, 2767, 497, 8360, 281, 15413, 18, 8353, 37172, 45126, 510, 30481, 8715, 510, 322, 49692, 16, 289, 19667, 1162, 6392, 766, 42570, 2756, 19543, 2509, 2394, 4309, 18, 1241, 460, 3854, 2742, 477, 45439, 8715, 16, 14361, 2205, 3872, 11623, 18, 35855, 6194, 1988, 3156, 309, 33973, 877, 1286, 8715, 289, 7166, 3645, 4024, 18, 12836, 24424, 6441, 1281, 21, 8715, 16, 515, 294, 8568, 19305, 1858, 4522, 1154, 36630, 16, 14361, 1281, 27, 8715, 18, 403, 6095, 16, 1177, 2205, 1241, 460, 312, 416, 322, 30342, 706, 18, 893, 31655, 10956, 281, 1422, 419, 282, 2280, 5107, 16, 367, 35855, 6194, 14140, 9025, 45440, 24374, 473, 1618, 20, 8715, 814, 15822, 5551, 22199, 271, 16, 515, 294, 8568, 19305, 3147, 4409, 2373, 977, 20669, 36082, 18, 439, 30293, 1241, 460, 312, 416, 2438, 2845, 1116, 541, 7583, 4966, 334, 17971, 27411, 7805, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 4862, 12002, 16, 374, 22204, 14512, 282, 7600, 21732, 2145, 411, 17, 431, 20569, 5447, 4568, 22601, 10939, 306, 1623, 41043, 15273, 7405, 5781, 13257, 18, 365, 1175, 45922, 4862, 309, 349, 501, 1957, 622, 9616, 478, 275, 482, 669, 4062, 4534, 470, 567, 374, 373, 502, 537, 639, 510, 428, 3432, 2009, 46187, 25083, 291, 14775, 933, 11944, 18, 31224, 30, 14745, 42387, 14591, 478, 6890, 755, 385, 1447, 470, 1624, 2412, 16721, 39967, 16, 33042, 16, 49377, 289, 5960, 12270, 5447, 4568, 2303, 370, 671, 5745, 432, 22601, 16, 1576, 857, 290, 11564, 21732, 1175, 282, 6730, 281, 4434, 979, 14512, 282, 7600, 21732, 477, 1963, 11673, 5792, 289, 9622, 13405, 411, 17, 431, 14924, 10939, 306, 22601, 541, 32366, 17, 612, 10561, 15038, 1442, 48, 17, 2479, 18, 478, 16464, 38840, 322, 20263, 349, 3025, 2113, 2840, 588, 9475, 21602, 41043, 2682, 7405, 5781, 13257, 18, 31076, 11461, 4247, 475, 15661, 48177, 416, 24786, 18, 31336, 11096, 4336, 1323, 42250, 7043, 41679, 282, 1175, 411, 17, 431, 6059, 2801, 779, 910, 510, 7332, 727, 4742, 8495, 14774, 2241, 18, 824, 4734, 478, 6890, 755, 385, 1447, 910, 827, 3785, 10102, 577, 11389, 309, 14924, 22601, 439, 732, 17, 5759, 22, 282, 9807, 16, 25886, 375, 14145, 708, 25767, 705, 1250, 282, 1175, 18, 44486, 360, 32137, 7043, 322, 21519, 305, 309, 4940, 42787, 6798, 17, 29223, 18207, 1333, 25198, 16, 515, 17650, 294, 15369, 5489, 7987, 282, 478, 6890, 755, 385, 1447, 470, 289, 13029, 8608, 4096, 282, 46069, 12893, 2665, 18, 21713, 6897, 334, 49319, 3276, 40126, 371, 2420, 11186, 1175, 40439, 4798, 293, 433, 405, 11836, 309, 349, 501, 1957, 622, 9616, 478, 275, 482, 669, 4062, 4534, 470, 567, 374, 373, 502, 537, 639, 16, 5923, 40568, 18, 478, 677, 7253, 4096, 3771, 13717, 3432, 3276, 5828, 26190, 18, 16494, 289, 567, 1514, 722, 942, 47620, 18, 472, 897, 847, 19715, 510, 28157, 3771, 18, 13699, 873, 322, 3219, 7267, 17899, 29170, 282, 9807, 16, 1830, 481, 322, 16753, 1745, 982, 46052, 24812, 289, 1745, 982, 6341, 5613, 510, 282, 803, 1320, 28157, 3771, 910, 510, 9848, 4798, 293, 433, 405, 18, 817, 1038, 24500, 16, 374, 1848, 5634, 15108, 11769, 10049, 5064, 5761, 282, 13198, 25796, 1623, 5397, 2232, 6888, 16, 2588, 2145, 12596, 281, 2406, 1888, 10263, 16, 6895, 25198, 18, 824, 3163, 18380, 16, 282, 2630, 281, 2184, 478, 14210, 873, 289, 48056, 16, 374, 6980, 45449, 3824, 1117, 2480, 2873, 282, 9807, 861, 20409, 30506, 5692, 16, 374, 827, 22154, 309, 2456, 2463, 17970, 29184, 14774, 5939, 41337, 281, 6081, 2855, 16, 502, 7727, 322, 5304, 30239, 18, 478, 1140, 14774, 30870, 1003, 10204, 18, 1606, 14322, 35744, 13198, 18060, 924, 16, 374, 3253, 334, 1190, 8768, 3164, 424, 23892, 18459, 281, 2801, 779, 18, 6980, 5917, 360, 21132, 366, 4766, 329, 22026, 8204, 434, 11131, 18, 14427, 316, 1414, 4646, 441, 24754, 510, 481, 2145, 18, 9807, 16, 5870, 417, 6680, 16, 322, 21132, 2154, 7658, 2149, 277, 16172, 4862, 18, 8276, 541, 26209, 722, 7234, 910, 510, 41274, 3064, 4798, 293, 433, 405, 18, 46744, 18540, 5327, 13453, 1273, 19882, 16303, 1624, 275, 1754, 23362, 16, 374, 478, 6890, 755, 385, 1447, 470, 282, 4145, 1045, 45574, 281, 25198, 11389, 16, 5938, 5076, 6980, 2921, 341, 6081, 1703, 21365, 2381, 13332, 22601, 541, 32366, 17, 612, 10561, 15038, 1442, 48, 17, 2479, 309, 7512, 4843, 23, 5737, 3763, 18, 21886, 16, 374, 282, 4145, 1045, 6980, 726, 39716, 282, 9807, 1939, 2567, 22601, 510, 309, 3814, 28641, 5842, 10601, 292, 38449, 21038, 20927, 1634, 48328, 40473, 309, 5447, 2248, 873, 18, 17376, 457, 4237, 46809, 16, 8851, 22294, 7920, 12797, 354, 2145, 334, 22647, 40126, 16, 2815, 16, 374, 18347, 14924, 15715, 25886, 888, 11291, 3860, 281, 33042, 4827, 5534, 22601, 18, 824, 505, 3163, 16, 34839, 478, 43404, 2764, 31296, 5363, 2145, 16, 515, 371, 803, 45912, 5335, 282, 8057, 2689, 2818, 10950, 272, 861, 37729, 12877, 2109, 32253, 16942, 654, 9531, 2130, 2415, 20983, 26483, 10527, 14018, 1038, 9299, 16, 374, 11173, 28376, 3014, 37351, 3493, 309, 7727, 16, 753, 14924, 12201, 4827, 5534, 22601, 282, 9807, 2010, 5385, 18, 10110, 1563, 10706, 22029, 346, 5500, 3720, 14317, 312, 39316, 13749, 16, 374, 2388, 14924, 4247, 1756, 953, 16, 515, 1109, 16, 374, 745, 17897, 282, 4301, 5738, 16, 5923, 391, 26448, 18, 478, 4441, 939, 16110, 36273, 334, 5083, 24831, 8312, 6657, 11612, 18, 3759, 1003, 1329, 29511, 5355, 670, 37866, 18, 5005, 1314, 396, 481, 5658, 8346, 18, 629, 373, 322, 1109, 16, 374, 1122, 1482, 2696, 8219, 2665, 282, 20319, 11612, 18, 981, 16, 15082, 467, 16, 515, 282, 20216, 7619, 292, 18, 996, 374, 1336, 4144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12837, 477, 33973, 9511, 16, 294, 10814, 16, 26008, 749, 15133, 1816, 16959, 18, 365, 1771, 26738, 349, 7610, 6637, 36653, 768, 671, 301, 446, 1231, 289, 688, 333, 2230, 3688, 18, 46535, 1502, 343, 27977, 1496, 7356, 34840, 289, 21165, 322, 9253, 12599, 477, 24095, 8715, 18, 13579, 31655, 289, 37172, 31655, 2053, 15096, 334, 1760, 28, 16, 2512, 688, 333, 2230, 3688, 10750, 6406, 2261, 24, 16, 367, 768, 671, 554, 301, 1231, 322, 3882, 26646, 12376, 17866, 477, 2261, 26, 8715, 18, 2046, 10904, 4562, 6331, 293, 15886, 263, 282, 16876, 20228, 475, 17, 2767, 497, 8360, 281, 15413, 18, 8353, 37172, 45126, 510, 30481, 8715, 510, 322, 49692, 16, 289, 19667, 1162, 6392, 766, 42570, 2756, 19543, 2509, 2394, 4309, 18, 1241, 460, 3854, 2742, 477, 45439, 8715, 16, 14361, 2205, 3872, 11623, 18, 35855, 6194, 1988, 3156, 309, 33973, 877, 1286, 8715, 289, 7166, 3645, 4024, 18, 12836, 24424, 6441, 1281, 21, 8715, 16, 515, 294, 8568, 19305, 1858, 4522, 1154, 36630, 16, 14361, 1281, 27, 8715, 18, 403, 6095, 16, 1177, 2205, 1241, 460, 312, 416, 322, 30342, 706, 18, 893, 31655, 10956, 281, 1422, 419, 282, 2280, 5107, 16, 367, 35855, 6194, 14140, 9025, 45440, 24374, 473, 1618, 20, 8715, 814, 15822, 5551, 22199, 271, 16, 515, 294, 8568, 19305, 3147, 4409, 2373, 977, 20669, 36082, 18, 439, 30293, 1241, 460, 312, 416, 2438, 2845, 1116, 541, 7583, 4966, 334, 17971, 27411, 7805, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 4862, 12002, 16, 374, 22204, 14512, 282, 7600, 21732, 2145, 411, 17, 431, 20569, 5447, 4568, 22601, 10939, 306, 1623, 41043, 15273, 7405, 5781, 13257, 18, 365, 1175, 45922, 4862, 309, 349, 501, 1957, 622, 9616, 478, 275, 482, 669, 4062, 4534, 470, 567, 374, 373, 502, 537, 639, 510, 428, 3432, 2009, 46187, 25083, 291, 14775, 933, 11944, 18, 31224, 30, 14745, 42387, 14591, 478, 6890, 755, 385, 1447, 470, 1624, 2412, 16721, 39967, 16, 33042, 16, 49377, 289, 5960, 12270, 5447, 4568, 2303, 370, 671, 5745, 432, 22601, 16, 1576, 857, 290, 11564, 21732, 1175, 282, 6730, 281, 4434, 979, 14512, 282, 7600, 21732, 477, 1963, 11673, 5792, 289, 9622, 13405, 411, 17, 431, 14924, 10939, 306, 22601, 541, 32366, 17, 612, 10561, 15038, 1442, 48, 17, 2479, 18, 478, 16464, 38840, 322, 20263, 349, 3025, 2113, 2840, 588, 9475, 21602, 41043, 2682, 7405, 5781, 13257, 18, 31076, 11461, 4247, 475, 15661, 48177, 416, 24786, 18, 31336, 11096, 4336, 1323, 42250, 7043, 41679, 282, 1175, 411, 17, 431, 6059, 2801, 779, 910, 510, 7332, 727, 4742, 8495, 14774, 2241, 18, 824, 4734, 478, 6890, 755, 385, 1447, 910, 827, 3785, 10102, 577, 11389, 309, 14924, 22601, 439, 732, 17, 5759, 22, 282, 9807, 16, 25886, 375, 14145, 708, 25767, 705, 1250, 282, 1175, 18, 44486, 360, 32137, 7043, 322, 21519, 305, 309, 4940, 42787, 6798, 17, 29223, 18207, 1333, 25198, 16, 515, 17650, 294, 15369, 5489, 7987, 282, 478, 6890, 755, 385, 1447, 470, 289, 13029, 8608, 4096, 282, 46069, 12893, 2665, 18, 21713, 6897, 334, 49319, 3276, 40126, 371, 2420, 11186, 1175, 40439, 4798, 293, 433, 405, 11836, 309, 349, 501, 1957, 622, 9616, 478, 275, 482, 669, 4062, 4534, 470, 567, 374, 373, 502, 537, 639, 16, 5923, 40568, 18, 478, 677, 7253, 4096, 3771, 13717, 3432, 3276, 5828, 26190, 18, 16494, 289, 567, 1514, 722, 942, 47620, 18, 472, 897, 847, 19715, 510, 28157, 3771, 18, 13699, 873, 322, 3219, 7267, 17899, 29170, 282, 9807, 16, 1830, 481, 322, 16753, 1745, 982, 46052, 24812, 289, 1745, 982, 6341, 5613, 510, 282, 803, 1320, 28157, 3771, 910, 510, 9848, 4798, 293, 433, 405, 18, 817, 1038, 24500, 16, 374, 1848, 5634, 15108, 11769, 10049, 5064, 5761, 282, 13198, 25796, 1623, 5397, 2232, 6888, 16, 2588, 2145, 12596, 281, 2406, 1888, 10263, 16, 6895, 25198, 18, 824, 3163, 18380, 16, 282, 2630, 281, 2184, 478, 14210, 873, 289, 48056, 16, 374, 6980, 45449, 3824, 1117, 2480, 2873, 282, 9807, 861, 20409, 30506, 5692, 16, 374, 827, 22154, 309, 2456, 2463, 17970, 29184, 14774, 5939, 41337, 281, 6081, 2855, 16, 502, 7727, 322, 5304, 30239, 18, 478, 1140, 14774, 30870, 1003, 10204, 18, 1606, 14322, 35744, 13198, 18060, 924, 16, 374, 3253, 334, 1190, 8768, 3164, 424, 23892, 18459, 281, 2801, 779, 18, 6980, 5917, 360, 21132, 366, 4766, 329, 22026, 8204, 434, 11131, 18, 14427, 316, 1414, 4646, 441, 24754, 510, 481, 2145, 18, 9807, 16, 5870, 417, 6680, 16, 322, 21132, 2154, 7658, 2149, 277, 16172, 4862, 18, 8276, 541, 26209, 722, 7234, 910, 510, 41274, 3064, 4798, 293, 433, 405, 18, 46744, 18540, 5327, 13453, 1273, 19882, 16303, 1624, 275, 1754, 23362, 16, 374, 478, 6890, 755, 385, 1447, 470, 282, 4145, 1045, 45574, 281, 25198, 11389, 16, 5938, 5076, 6980, 2921, 341, 6081, 1703, 21365, 2381, 13332, 22601, 541, 32366, 17, 612, 10561, 15038, 1442, 48, 17, 2479, 309, 7512, 4843, 23, 5737, 3763, 18, 21886, 16, 374, 282, 4145, 1045, 6980, 726, 39716, 282, 9807, 1939, 2567, 22601, 510, 309, 3814, 28641, 5842, 10601, 292, 38449, 21038, 20927, 1634, 48328, 40473, 309, 5447, 2248, 873, 18, 17376, 457, 4237, 46809, 16, 8851, 22294, 7920, 12797, 354, 2145, 334, 22647, 40126, 16, 2815, 16, 374, 18347, 14924, 15715, 25886, 888, 11291, 3860, 281, 33042, 4827, 5534, 22601, 18, 824, 505, 3163, 16, 34839, 478, 43404, 2764, 31296, 5363, 2145, 16, 515, 371, 803, 45912, 5335, 282, 8057, 2689, 2818, 10950, 272, 861, 37729, 12877, 2109, 32253, 16942, 654, 9531, 2130, 2415, 20983, 26483, 10527, 14018, 1038, 9299, 16, 374, 11173, 28376, 3014, 37351, 3493, 309, 7727, 16, 753, 14924, 12201, 4827, 5534, 22601, 282, 9807, 2010, 5385, 18, 10110, 1563, 10706, 22029, 346, 5500, 3720, 14317, 312, 39316, 13749, 16, 374, 2388, 14924, 4247, 1756, 953, 16, 515, 1109, 16, 374, 745, 17897, 282, 4301, 5738, 16, 5923, 391, 26448, 18, 478, 4441, 939, 16110, 36273, 334, 5083, 24831, 8312, 6657, 11612, 18, 3759, 1003, 1329, 29511, 5355, 670, 37866, 18, 5005, 1314, 396, 481, 5658, 8346, 18, 629, 373, 322, 1109, 16, 374, 1122, 1482, 2696, 8219, 2665, 282, 20319, 11612, 18, 981, 16, 15082, 467, 16, 515, 282, 20216, 7619, 292, 18, 996, 374, 1336, 4144 ]
[ 3412, 2685, 549, 14535, 16, 515, 2397, 1756, 953, 910, 510, 9848, 12987, 18, 42420, 1205, 2158, 10958, 1273, 4339, 8000, 16303, 6489, 576, 6771, 16, 282, 2114, 8846, 16, 374, 49085, 522, 1231, 24132, 37919, 282, 5491, 6585, 6190, 2499, 31940, 1901, 37328, 23535, 8187, 4426, 26031, 8187, 536, 3811, 7768, 16, 7391, 3250, 16, 7260, 16, 329, 14769, 5754, 478, 4298, 313, 39414, 861, 365, 7705, 49077, 56, 3812, 709, 309, 11205, 14971, 22026, 10712, 32289, 9487, 5152, 18227, 289, 36817, 298, 7050, 10874, 11673, 26205, 18, 26966, 5854, 2450, 476, 513, 768, 511, 320, 640, 23192, 266, 9321, 16, 374, 2145, 478, 19696, 8249, 470, 10302, 294, 1629, 6710, 5792, 290, 2921, 582, 23245, 48940, 22601, 282, 30218, 18, 1367, 803, 5037, 3781, 17, 14130, 2450, 43265, 1778, 10703, 309, 41575, 1484, 18, 478, 8407, 5715, 16, 656, 7836, 381, 803, 9907, 18, 889, 1247, 16, 1029, 656, 9486, 339, 939, 8249, 16, 827, 1574, 3022, 685, 910, 510, 2323, 640, 23192, 266, 18, 2775, 4749, 8624, 5439, 2665, 19518, 32652, 13202, 6406, 6771, 49077, 56, 282, 469, 40484, 18, 365, 4810, 16, 5222, 14774, 4623, 478, 983, 2237, 49758, 7037, 470, 5860, 455, 22365, 290, 25754, 36849, 14774, 3824, 333, 397, 353, 1873, 12893, 294, 8187, 536, 40901, 30218, 18, 1253, 1038, 18585, 16, 374, 827, 1542, 5825, 3238, 280, 847, 16, 502, 478, 23441, 895, 8662, 424, 12435, 16, 367, 2862, 16, 8593, 749, 1851, 17, 3697, 3599, 477, 1963, 25150, 5540, 2422, 861, 365, 11130, 6705, 779, 17023, 6365, 2145, 6489, 576, 6656, 2081, 432, 15570, 289, 19067, 1562, 16, 17518, 973, 424, 16775, 12435, 16, 2496, 1129, 898, 1871, 18347, 22170, 510, 1130, 1813, 45039, 289, 29232, 4389, 9905, 18, 13191, 2241, 32953, 282, 11379, 18, 17974, 31117, 37440, 31048, 3591, 3416, 309, 2923, 2145, 16, 3235, 924, 16, 475, 697, 12056, 282, 11673, 14412, 26996, 898, 35012, 1007, 18, 365, 3781, 17, 40048, 15310, 42416, 16, 374, 870, 2241, 2238, 43975, 281, 7316, 5056, 282, 6656, 1217, 2376, 616, 933, 13951, 48208, 353, 18, 14654, 3419, 381, 21649, 680, 2241, 41441, 84, 2034, 45039, 289, 32441, 680, 3783, 17, 50, 633, 444, 45039, 18, 2145, 31439, 697, 282, 12278, 15099, 3138, 47870, 29092, 19276, 680, 9377, 16, 367, 1038, 282, 8597, 416, 7462, 582, 6617, 411, 18924, 282, 38104, 2, 1, 87, 1456, 81, 2448, 30, 789, 551, 680, 1551, 30834, 294, 6612, 12944, 14132, 1101, 282, 4599, 9798, 8840, 23061, 25734, 2763, 28836, 342, 18083, 632, 370, 401, 16, 41629, 282, 12864, 763, 3436, 25, 3763, 2791, 11131, 289, 37650, 464, 1033, 3405, 26, 3763, 2791, 16, 8380, 5368, 4310, 36819, 18, 2320, 2584, 825, 5674, 636, 454, 586, 4548, 345, 46067, 4973, 12478, 16253, 282, 1967, 41939, 16, 1423, 16789, 492, 13749, 12860, 18, 632, 6587, 575, 30143, 965, 322, 13749, 16, 48431, 1743, 478, 11092, 3991, 2886, 304, 910, 1029, 685, 3219, 1235, 282, 4542, 26311, 434, 8165, 18, 31224, 30, 677, 11946, 28441, 1583, 24413, 10208, 30834, 294, 6612, 1433, 14132, 1101, 282, 4599, 9798, 8840, 14863, 434, 23061, 25734, 2763, 28836, 342, 18083, 632, 370, 401, 289, 505, 28135, 5674, 34126, 586, 4548, 345, 16, 17627, 4486, 282, 12864, 763, 289, 37650, 464, 17788, 4076, 14863, 416, 3320, 473, 283, 18, 1032, 422, 18, 24095, 11828, 814, 12167, 5053, 282, 1551, 7557, 282, 20844, 1949, 38923, 16, 453, 428, 3164, 424, 15028, 680, 290, 6327, 4695, 30, 975, 46067, 4973, 12478, 16253, 282, 41939, 18, 25869, 632, 370, 401, 282, 1551, 15246, 3645, 18, 1937, 505, 3210, 29559, 282, 3049, 16, 492, 45434, 289, 25686, 16128, 709, 36426, 16, 18059, 1757, 309, 4126, 18, 2171, 7027, 22542, 16095, 2763, 297, 7656, 282, 1551, 322, 16083, 16, 1811, 1277, 1949, 42770, 19676, 1617, 10855, 18, 26468, 12543, 281, 20546, 366, 24979, 16, 1586, 25341, 2159, 7814, 309, 44617, 11073, 2056, 299, 1685, 282, 4413, 12564, 16, 367, 2512, 33815, 2904, 20256, 32296, 2326, 27687, 309, 1562, 16, 23704, 282, 6900, 18, 1253, 16926, 16, 374, 2496, 1129, 1698, 953, 23276, 26900, 9522, 16, 961, 3929, 43545, 14267, 289, 322, 1698, 519, 697, 33691, 11392, 282, 6900, 18, 31818, 15395, 22162, 21000, 506, 16, 1011, 1660, 5590, 632, 370, 401, 6276, 282, 11702, 18, 2263, 632, 6587, 2780, 281, 10744, 16, 374, 322, 1623, 27476, 536, 16, 428, 481, 23362, 282, 10180, 2116, 547, 25873, 30, 492, 39412, 428, 31572, 17704, 18, 9263, 25236, 6070, 18524, 15441, 8409, 31372, 14668, 16, 453, 428, 309, 1533, 4238, 43569, 23512, 32463, 4669, 23500, 334, 19983, 6619, 473, 1117, 275, 1214, 548, 29581, 5317, 1103, 1070, 7272, 32174, 632, 6587, 272, 934, 515, 16044, 18889, 18, 3575, 26900, 10823, 8409, 27270, 17666, 4126, 309, 5626, 16, 753, 10681, 400, 8757, 27510, 617, 18, 31818, 5438, 16, 374, 4126, 20690, 289, 309, 1047, 895, 10529, 3591, 44355, 16, 3219, 12720, 7288, 3158, 6573, 16, 14995, 8643, 23828, 40240, 289, 1548, 8757, 27510, 617, 322, 2700, 1235, 18, 3529, 632, 6587, 49756, 309, 1593, 448, 6484, 289, 25975, 2594, 289, 8409, 31372, 4126, 18, 478, 11233, 9095, 29066, 360, 13223, 2552, 2894, 16, 367, 360, 25975, 560, 309, 7266, 7518, 4776, 784, 1329, 322, 9095, 910, 510, 1109, 492, 18, 478, 24569, 274, 334, 9161, 289, 2073, 1876, 16, 17627, 5367, 13978, 965, 1033, 828, 5641, 910, 510, 31777, 8382, 282, 1457, 3792, 27564, 4201, 632, 370, 401, 5854, 48944, 18, 478, 618, 387, 7110, 334, 2073, 1876, 5433, 510, 12550, 1500, 18, 2326, 5461, 6554, 16, 374, 481, 322, 8720, 541, 12988, 427, 43025, 16, 515, 309, 8502, 3022, 22321, 14891, 478, 5094, 323, 3599, 910, 753, 745, 46407, 44427, 26900, 13928, 18, 9758, 28809, 23511, 309, 1808, 18, 4852, 1808, 475, 16, 3235, 26900, 13928, 586, 4548, 345, 289, 505, 38923, 16, 13712, 282, 6900, 18, 14787, 4955, 6519, 11009, 8165, 371, 20517, 1248, 1939, 1879, 18, 478, 37631, 978, 322, 6075, 1463, 910, 510, 22618, 26900, 10823, 1551, 957, 18, 478, 4441, 7015, 289, 5975, 29501, 282, 4542, 978, 8165, 18, 1178, 10647, 840, 6539, 506, 16, 840, 33091, 1247, 381, 32694, 7272, 32174, 910, 510, 34347, 1154, 2326, 5461, 18, 9263, 678, 22812, 7102, 15582, 12074, 290, 970, 16, 374, 329, 632, 370, 401, 37092, 25465, 2837, 11440, 16, 685, 19348, 38330, 44362, 16764, 289, 16, 334, 505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3412, 2685, 549, 14535, 16, 515, 2397, 1756, 953, 910, 510, 9848, 12987, 18, 42420, 1205, 2158, 10958, 1273, 4339, 8000, 16303, 6489, 576, 6771, 16, 282, 2114, 8846, 16, 374, 49085, 522, 1231, 24132, 37919, 282, 5491, 6585, 6190, 2499, 31940, 1901, 37328, 23535, 8187, 4426, 26031, 8187, 536, 3811, 7768, 16, 7391, 3250, 16, 7260, 16, 329, 14769, 5754, 478, 4298, 313, 39414, 861, 365, 7705, 49077, 56, 3812, 709, 309, 11205, 14971, 22026, 10712, 32289, 9487, 5152, 18227, 289, 36817, 298, 7050, 10874, 11673, 26205, 18, 26966, 5854, 2450, 476, 513, 768, 511, 320, 640, 23192, 266, 9321, 16, 374, 2145, 478, 19696, 8249, 470, 10302, 294, 1629, 6710, 5792, 290, 2921, 582, 23245, 48940, 22601, 282, 30218, 18, 1367, 803, 5037, 3781, 17, 14130, 2450, 43265, 1778, 10703, 309, 41575, 1484, 18, 478, 8407, 5715, 16, 656, 7836, 381, 803, 9907, 18, 889, 1247, 16, 1029, 656, 9486, 339, 939, 8249, 16, 827, 1574, 3022, 685, 910, 510, 2323, 640, 23192, 266, 18, 2775, 4749, 8624, 5439, 2665, 19518, 32652, 13202, 6406, 6771, 49077, 56, 282, 469, 40484, 18, 365, 4810, 16, 5222, 14774, 4623, 478, 983, 2237, 49758, 7037, 470, 5860, 455, 22365, 290, 25754, 36849, 14774, 3824, 333, 397, 353, 1873, 12893, 294, 8187, 536, 40901, 30218, 18, 1253, 1038, 18585, 16, 374, 827, 1542, 5825, 3238, 280, 847, 16, 502, 478, 23441, 895, 8662, 424, 12435, 16, 367, 2862, 16, 8593, 749, 1851, 17, 3697, 3599, 477, 1963, 25150, 5540, 2422, 861, 365, 11130, 6705, 779, 17023, 6365, 2145, 6489, 576, 6656, 2081, 432, 15570, 289, 19067, 1562, 16, 17518, 973, 424, 16775, 12435, 16, 2496, 1129, 898, 1871, 18347, 22170, 510, 1130, 1813, 45039, 289, 29232, 4389, 9905, 18, 13191, 2241, 32953, 282, 11379, 18, 17974, 31117, 37440, 31048, 3591, 3416, 309, 2923, 2145, 16, 3235, 924, 16, 475, 697, 12056, 282, 11673, 14412, 26996, 898, 35012, 1007, 18, 365, 3781, 17, 40048, 15310, 42416, 16, 374, 870, 2241, 2238, 43975, 281, 7316, 5056, 282, 6656, 1217, 2376, 616, 933, 13951, 48208, 353, 18, 14654, 3419, 381, 21649, 680, 2241, 41441, 84, 2034, 45039, 289, 32441, 680, 3783, 17, 50, 633, 444, 45039, 18, 2145, 31439, 697, 282, 12278, 15099, 3138, 47870, 29092, 19276, 680, 9377, 16, 367, 1038, 282, 8597, 416, 7462, 582, 6617, 411, 18924, 282, 38104, 2, 1, 87, 1456, 81, 2448, 30, 789, 551, 680, 1551, 30834, 294, 6612, 12944, 14132, 1101, 282, 4599, 9798, 8840, 23061, 25734, 2763, 28836, 342, 18083, 632, 370, 401, 16, 41629, 282, 12864, 763, 3436, 25, 3763, 2791, 11131, 289, 37650, 464, 1033, 3405, 26, 3763, 2791, 16, 8380, 5368, 4310, 36819, 18, 2320, 2584, 825, 5674, 636, 454, 586, 4548, 345, 46067, 4973, 12478, 16253, 282, 1967, 41939, 16, 1423, 16789, 492, 13749, 12860, 18, 632, 6587, 575, 30143, 965, 322, 13749, 16, 48431, 1743, 478, 11092, 3991, 2886, 304, 910, 1029, 685, 3219, 1235, 282, 4542, 26311, 434, 8165, 18, 31224, 30, 677, 11946, 28441, 1583, 24413, 10208, 30834, 294, 6612, 1433, 14132, 1101, 282, 4599, 9798, 8840, 14863, 434, 23061, 25734, 2763, 28836, 342, 18083, 632, 370, 401, 289, 505, 28135, 5674, 34126, 586, 4548, 345, 16, 17627, 4486, 282, 12864, 763, 289, 37650, 464, 17788, 4076, 14863, 416, 3320, 473, 283, 18, 1032, 422, 18, 24095, 11828, 814, 12167, 5053, 282, 1551, 7557, 282, 20844, 1949, 38923, 16, 453, 428, 3164, 424, 15028, 680, 290, 6327, 4695, 30, 975, 46067, 4973, 12478, 16253, 282, 41939, 18, 25869, 632, 370, 401, 282, 1551, 15246, 3645, 18, 1937, 505, 3210, 29559, 282, 3049, 16, 492, 45434, 289, 25686, 16128, 709, 36426, 16, 18059, 1757, 309, 4126, 18, 2171, 7027, 22542, 16095, 2763, 297, 7656, 282, 1551, 322, 16083, 16, 1811, 1277, 1949, 42770, 19676, 1617, 10855, 18, 26468, 12543, 281, 20546, 366, 24979, 16, 1586, 25341, 2159, 7814, 309, 44617, 11073, 2056, 299, 1685, 282, 4413, 12564, 16, 367, 2512, 33815, 2904, 20256, 32296, 2326, 27687, 309, 1562, 16, 23704, 282, 6900, 18, 1253, 16926, 16, 374, 2496, 1129, 1698, 953, 23276, 26900, 9522, 16, 961, 3929, 43545, 14267, 289, 322, 1698, 519, 697, 33691, 11392, 282, 6900, 18, 31818, 15395, 22162, 21000, 506, 16, 1011, 1660, 5590, 632, 370, 401, 6276, 282, 11702, 18, 2263, 632, 6587, 2780, 281, 10744, 16, 374, 322, 1623, 27476, 536, 16, 428, 481, 23362, 282, 10180, 2116, 547, 25873, 30, 492, 39412, 428, 31572, 17704, 18, 9263, 25236, 6070, 18524, 15441, 8409, 31372, 14668, 16, 453, 428, 309, 1533, 4238, 43569, 23512, 32463, 4669, 23500, 334, 19983, 6619, 473, 1117, 275, 1214, 548, 29581, 5317, 1103, 1070, 7272, 32174, 632, 6587, 272, 934, 515, 16044, 18889, 18, 3575, 26900, 10823, 8409, 27270, 17666, 4126, 309, 5626, 16, 753, 10681, 400, 8757, 27510, 617, 18, 31818, 5438, 16, 374, 4126, 20690, 289, 309, 1047, 895, 10529, 3591, 44355, 16, 3219, 12720, 7288, 3158, 6573, 16, 14995, 8643, 23828, 40240, 289, 1548, 8757, 27510, 617, 322, 2700, 1235, 18, 3529, 632, 6587, 49756, 309, 1593, 448, 6484, 289, 25975, 2594, 289, 8409, 31372, 4126, 18, 478, 11233, 9095, 29066, 360, 13223, 2552, 2894, 16, 367, 360, 25975, 560, 309, 7266, 7518, 4776, 784, 1329, 322, 9095, 910, 510, 1109, 492, 18, 478, 24569, 274, 334, 9161, 289, 2073, 1876, 16, 17627, 5367, 13978, 965, 1033, 828, 5641, 910, 510, 31777, 8382, 282, 1457, 3792, 27564, 4201, 632, 370, 401, 5854, 48944, 18, 478, 618, 387, 7110, 334, 2073, 1876, 5433, 510, 12550, 1500, 18, 2326, 5461, 6554, 16, 374, 481, 322, 8720, 541, 12988, 427, 43025, 16, 515, 309, 8502, 3022, 22321, 14891, 478, 5094, 323, 3599, 910, 753, 745, 46407, 44427, 26900, 13928, 18, 9758, 28809, 23511, 309, 1808, 18, 4852, 1808, 475, 16, 3235, 26900, 13928, 586, 4548, 345, 289, 505, 38923, 16, 13712, 282, 6900, 18, 14787, 4955, 6519, 11009, 8165, 371, 20517, 1248, 1939, 1879, 18, 478, 37631, 978, 322, 6075, 1463, 910, 510, 22618, 26900, 10823, 1551, 957, 18, 478, 4441, 7015, 289, 5975, 29501, 282, 4542, 978, 8165, 18, 1178, 10647, 840, 6539, 506, 16, 840, 33091, 1247, 381, 32694, 7272, 32174, 910, 510, 34347, 1154, 2326, 5461, 18, 9263, 678, 22812, 7102, 15582, 12074, 290, 970, 16, 374, 329, 632, 370, 401, 37092, 25465, 2837, 11440, 16, 685, 19348, 38330, 44362, 16764, 289, 16, 334, 505 ]
[ 4734, 16, 17627, 5367, 895, 12570, 282, 7433, 18, 2046, 632, 6587, 5883, 33159, 309, 24535, 44427, 30, 478, 1140, 703, 19542, 29513, 1188, 3955, 289, 18019, 8518, 15818, 18, 459, 329, 703, 46418, 6484, 282, 23771, 16, 745, 6933, 861, 6158, 957, 481, 322, 5807, 857, 18, 632, 6587, 1858, 2780, 34346, 1279, 2742, 13516, 16, 309, 1177, 445, 411, 17, 431, 14236, 48944, 2763, 28836, 342, 18, 478, 3001, 10762, 755, 978, 1101, 16, 289, 749, 1047, 1745, 2955, 910, 510, 29093, 26900, 10823, 16, 515, 8434, 477, 1963, 20256, 3424, 322, 6089, 18, 7100, 22974, 371, 7145, 294, 22812, 8608, 10180, 37348, 12851, 18, 1253, 10703, 16, 374, 14863, 451, 10575, 685, 4971, 286, 2763, 28836, 3259, 282, 10841, 8311, 779, 18, 6592, 7799, 272, 16, 8967, 322, 2397, 1360, 5173, 14874, 9811, 16, 367, 475, 11453, 7050, 3674, 8272, 309, 28189, 2257, 4380, 18, 365, 12354, 8311, 779, 19201, 289, 7265, 17852, 304, 11131, 1559, 632, 6587, 18, 6592, 35491, 16, 492, 289, 505, 13877, 586, 4548, 345, 519, 4189, 5021, 779, 37960, 3010, 12864, 427, 17788, 4076, 541, 24637, 7518, 12537, 289, 7518, 5642, 304, 2188, 282, 2570, 2021, 582, 282, 3507, 18, 41143, 586, 4548, 345, 29886, 282, 7067, 292, 16, 29860, 3352, 289, 1562, 16, 478, 404, 14182, 4436, 282, 697, 3280, 432, 4540, 4912, 861, 996, 16, 282, 3998, 5021, 779, 16, 334, 3761, 14160, 16, 294, 2219, 954, 8150, 685, 6244, 928, 45940, 7024, 478, 38960, 513, 6271, 478, 19021, 436, 4571, 470, 3883, 7309, 768, 1134, 405, 512, 16, 1029, 6820, 282, 478, 2169, 1633, 5418, 11079, 470, 281, 586, 4548, 345, 289, 322, 685, 34149, 282, 3280, 451, 3010, 18, 8444, 45574, 7953, 451, 4957, 13913, 12537, 289, 5642, 304, 2188, 309, 3499, 9195, 26900, 9522, 16, 1038, 8641, 478, 404, 14182, 4436, 282, 3280, 432, 4540, 4912, 470, 1634, 40446, 18, 5333, 2175, 16, 37856, 7518, 12537, 289, 7518, 5642, 304, 2188, 2036, 15654, 282, 4843, 27, 16, 27, 3763, 473, 5493, 25, 3763, 2791, 814, 365, 11872, 5021, 779, 6401, 3626, 632, 370, 401, 360, 505, 3946, 5524, 455, 4957, 290, 29860, 43670, 18930, 478, 19021, 436, 4571, 861, 365, 4479, 1045, 17653, 632, 370, 401, 1103, 455, 3441, 8094, 289, 1272, 5642, 304, 263, 419, 40025, 9997, 263, 32653, 283, 16, 1586, 5383, 4318, 4843, 22, 16, 29, 3763, 473, 16299, 16, 27, 3763, 2791, 814, 43393, 263, 639, 6203, 315, 282, 19473, 282, 11500, 510, 13186, 4440, 779, 18, 7409, 15585, 14736, 281, 37650, 2840, 17788, 4076, 16, 46462, 11212, 416, 28189, 1873, 3320, 478, 25575, 20586, 2110, 20653, 478, 20659, 7935, 13807, 36549, 910, 1586, 906, 4971, 798, 2763, 28836, 3259, 282, 11130, 5021, 779, 18, 4988, 9774, 536, 19201, 685, 3226, 17, 2767, 632, 6587, 18, 478, 563, 5173, 40075, 1232, 5153, 2005, 16, 541, 46047, 19175, 31752, 43670, 470, 632, 6587, 289, 586, 4548, 345, 37960, 3655, 3010, 16, 5273, 22204, 18, 1787, 978, 586, 4548, 345, 8641, 11091, 21993, 1360, 2241, 7024, 478, 34873, 30768, 470, 29816, 272, 4324, 696, 1051, 272, 1624, 1586, 906, 38947, 6700, 27794, 2610, 7024, 478, 1605, 26413, 347, 861, 365, 13186, 4479, 779, 439, 6223, 478, 20659, 7935, 13807, 36549, 470, 2703, 4826, 19222, 478, 1605, 26413, 476, 470, 309, 7512, 44835, 3763, 2791, 18, 9263, 870, 2764, 31193, 282, 18930, 478, 19021, 436, 4571, 910, 1586, 282, 2948, 41073, 1728, 43670, 29872, 332, 4328, 554, 2089, 575, 7512, 18, 22358, 15585, 14736, 281, 19007, 478, 24775, 778, 9871, 292, 2110, 20653, 910, 29704, 282, 8455, 1045, 18, 632, 6587, 685, 9540, 23267, 6700, 35544, 1335, 3320, 18, 365, 11500, 4440, 779, 492, 29151, 360, 3946, 1335, 3320, 14090, 23232, 18930, 478, 19021, 436, 4571, 470, 282, 9802, 23308, 16, 27, 3763, 2791, 18, 4794, 353, 15631, 18930, 1858, 4660, 862, 349, 1423, 36537, 1188, 48658, 18, 1937, 1087, 348, 420, 2116, 27080, 6713, 16, 26900, 10823, 586, 4548, 345, 2815, 16, 374, 26136, 1423, 16789, 12860, 18, 5181, 16, 281, 828, 492, 12557, 16, 367, 281, 828, 1003, 16, 17627, 5367, 4437, 1507, 322, 2564, 18, 478, 21393, 4465, 16, 961, 784, 9685, 318, 18, 824, 25516, 417, 7259, 16, 281, 5224, 436, 945, 286, 2206, 655, 510, 30604, 4134, 586, 4548, 345, 18, 510, 7042, 4465, 4618, 322, 4247, 26423, 655, 23033, 315, 2023, 18, 629, 2963, 373, 481, 2023, 294, 9747, 24807, 43025, 861, 1681, 24413, 10823, 632, 6587, 2815, 16, 374, 322, 26136, 1423, 16789, 18, 478, 563, 1288, 622, 22323, 14267, 784, 9685, 324, 16, 510, 1109, 492, 18, 510, 48340, 468, 322, 2202, 306, 16, 481, 14827, 3596, 2696, 2886, 16, 3219, 11465, 282, 4542, 26311, 434, 8165, 18, 608, 335, 1991, 16, 1029, 3619, 10575, 16, 685, 12974, 1235, 18, 5333, 2175, 16, 23082, 2141, 1003, 16, 322, 4538, 726, 16, 374, 322, 6830, 324, 3476, 8935, 861, 48340, 274, 5367, 5692, 16, 374, 22974, 349, 31632, 10180, 40356, 15045, 322, 3118, 18, 2320, 15320, 18524, 15441, 1038, 29309, 867, 16, 374, 26311, 451, 2886, 15732, 282, 5034, 668, 18614, 425, 18, 824, 505, 3163, 16, 334, 19955, 10390, 721, 36537, 1188, 48658, 282, 3436, 25, 3763, 2791, 906, 12974, 12720, 764, 282, 4440, 1045, 282, 5305, 18558, 18, 1397, 5327, 7842, 43194, 16, 18524, 15441, 9848, 16, 374, 282, 4440, 1045, 26311, 451, 1551, 10954, 3003, 16, 5938, 5076, 281, 882, 837, 906, 22279, 324, 11617, 23082, 18, 478, 2176, 2218, 2193, 16, 1743, 281, 43716, 2611, 9368, 349, 2948, 1574, 17980, 8361, 16, 428, 2763, 297, 7656, 16, 510, 14291, 15320, 439, 19081, 439, 1484, 3583, 18, 510, 2763, 297, 7656, 6929, 4000, 3508, 2733, 2175, 18450, 4315, 868, 778, 17910, 861, 640, 803, 685, 28809, 23511, 16, 1011, 2024, 22974, 371, 7145, 294, 22812, 8608, 9506, 432, 20481, 1101, 18, 23656, 48944, 7299, 16338, 16, 374, 2763, 297, 7656, 2141, 322, 9733, 17884, 282, 12564, 16, 367, 1747, 22812, 10197, 687, 505, 17187, 16, 5024, 282, 4542, 28081, 14160, 18, 2, 1, 87, 1456, 81, 2448, 30, 22, 4238, 9293, 7416, 3017, 16, 785, 10933, 9985, 548, 282, 9085, 2125, 12848, 2145, 30, 1223, 22154, 387, 45041, 411, 2553, 5259, 11854, 18, 29598, 347, 2873, 726, 7788, 20966, 4676, 478, 36337, 416, 23703, 910, 282, 1754, 21162, 1756, 289, 34042, 25970, 16, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4734, 16, 17627, 5367, 895, 12570, 282, 7433, 18, 2046, 632, 6587, 5883, 33159, 309, 24535, 44427, 30, 478, 1140, 703, 19542, 29513, 1188, 3955, 289, 18019, 8518, 15818, 18, 459, 329, 703, 46418, 6484, 282, 23771, 16, 745, 6933, 861, 6158, 957, 481, 322, 5807, 857, 18, 632, 6587, 1858, 2780, 34346, 1279, 2742, 13516, 16, 309, 1177, 445, 411, 17, 431, 14236, 48944, 2763, 28836, 342, 18, 478, 3001, 10762, 755, 978, 1101, 16, 289, 749, 1047, 1745, 2955, 910, 510, 29093, 26900, 10823, 16, 515, 8434, 477, 1963, 20256, 3424, 322, 6089, 18, 7100, 22974, 371, 7145, 294, 22812, 8608, 10180, 37348, 12851, 18, 1253, 10703, 16, 374, 14863, 451, 10575, 685, 4971, 286, 2763, 28836, 3259, 282, 10841, 8311, 779, 18, 6592, 7799, 272, 16, 8967, 322, 2397, 1360, 5173, 14874, 9811, 16, 367, 475, 11453, 7050, 3674, 8272, 309, 28189, 2257, 4380, 18, 365, 12354, 8311, 779, 19201, 289, 7265, 17852, 304, 11131, 1559, 632, 6587, 18, 6592, 35491, 16, 492, 289, 505, 13877, 586, 4548, 345, 519, 4189, 5021, 779, 37960, 3010, 12864, 427, 17788, 4076, 541, 24637, 7518, 12537, 289, 7518, 5642, 304, 2188, 282, 2570, 2021, 582, 282, 3507, 18, 41143, 586, 4548, 345, 29886, 282, 7067, 292, 16, 29860, 3352, 289, 1562, 16, 478, 404, 14182, 4436, 282, 697, 3280, 432, 4540, 4912, 861, 996, 16, 282, 3998, 5021, 779, 16, 334, 3761, 14160, 16, 294, 2219, 954, 8150, 685, 6244, 928, 45940, 7024, 478, 38960, 513, 6271, 478, 19021, 436, 4571, 470, 3883, 7309, 768, 1134, 405, 512, 16, 1029, 6820, 282, 478, 2169, 1633, 5418, 11079, 470, 281, 586, 4548, 345, 289, 322, 685, 34149, 282, 3280, 451, 3010, 18, 8444, 45574, 7953, 451, 4957, 13913, 12537, 289, 5642, 304, 2188, 309, 3499, 9195, 26900, 9522, 16, 1038, 8641, 478, 404, 14182, 4436, 282, 3280, 432, 4540, 4912, 470, 1634, 40446, 18, 5333, 2175, 16, 37856, 7518, 12537, 289, 7518, 5642, 304, 2188, 2036, 15654, 282, 4843, 27, 16, 27, 3763, 473, 5493, 25, 3763, 2791, 814, 365, 11872, 5021, 779, 6401, 3626, 632, 370, 401, 360, 505, 3946, 5524, 455, 4957, 290, 29860, 43670, 18930, 478, 19021, 436, 4571, 861, 365, 4479, 1045, 17653, 632, 370, 401, 1103, 455, 3441, 8094, 289, 1272, 5642, 304, 263, 419, 40025, 9997, 263, 32653, 283, 16, 1586, 5383, 4318, 4843, 22, 16, 29, 3763, 473, 16299, 16, 27, 3763, 2791, 814, 43393, 263, 639, 6203, 315, 282, 19473, 282, 11500, 510, 13186, 4440, 779, 18, 7409, 15585, 14736, 281, 37650, 2840, 17788, 4076, 16, 46462, 11212, 416, 28189, 1873, 3320, 478, 25575, 20586, 2110, 20653, 478, 20659, 7935, 13807, 36549, 910, 1586, 906, 4971, 798, 2763, 28836, 3259, 282, 11130, 5021, 779, 18, 4988, 9774, 536, 19201, 685, 3226, 17, 2767, 632, 6587, 18, 478, 563, 5173, 40075, 1232, 5153, 2005, 16, 541, 46047, 19175, 31752, 43670, 470, 632, 6587, 289, 586, 4548, 345, 37960, 3655, 3010, 16, 5273, 22204, 18, 1787, 978, 586, 4548, 345, 8641, 11091, 21993, 1360, 2241, 7024, 478, 34873, 30768, 470, 29816, 272, 4324, 696, 1051, 272, 1624, 1586, 906, 38947, 6700, 27794, 2610, 7024, 478, 1605, 26413, 347, 861, 365, 13186, 4479, 779, 439, 6223, 478, 20659, 7935, 13807, 36549, 470, 2703, 4826, 19222, 478, 1605, 26413, 476, 470, 309, 7512, 44835, 3763, 2791, 18, 9263, 870, 2764, 31193, 282, 18930, 478, 19021, 436, 4571, 910, 1586, 282, 2948, 41073, 1728, 43670, 29872, 332, 4328, 554, 2089, 575, 7512, 18, 22358, 15585, 14736, 281, 19007, 478, 24775, 778, 9871, 292, 2110, 20653, 910, 29704, 282, 8455, 1045, 18, 632, 6587, 685, 9540, 23267, 6700, 35544, 1335, 3320, 18, 365, 11500, 4440, 779, 492, 29151, 360, 3946, 1335, 3320, 14090, 23232, 18930, 478, 19021, 436, 4571, 470, 282, 9802, 23308, 16, 27, 3763, 2791, 18, 4794, 353, 15631, 18930, 1858, 4660, 862, 349, 1423, 36537, 1188, 48658, 18, 1937, 1087, 348, 420, 2116, 27080, 6713, 16, 26900, 10823, 586, 4548, 345, 2815, 16, 374, 26136, 1423, 16789, 12860, 18, 5181, 16, 281, 828, 492, 12557, 16, 367, 281, 828, 1003, 16, 17627, 5367, 4437, 1507, 322, 2564, 18, 478, 21393, 4465, 16, 961, 784, 9685, 318, 18, 824, 25516, 417, 7259, 16, 281, 5224, 436, 945, 286, 2206, 655, 510, 30604, 4134, 586, 4548, 345, 18, 510, 7042, 4465, 4618, 322, 4247, 26423, 655, 23033, 315, 2023, 18, 629, 2963, 373, 481, 2023, 294, 9747, 24807, 43025, 861, 1681, 24413, 10823, 632, 6587, 2815, 16, 374, 322, 26136, 1423, 16789, 18, 478, 563, 1288, 622, 22323, 14267, 784, 9685, 324, 16, 510, 1109, 492, 18, 510, 48340, 468, 322, 2202, 306, 16, 481, 14827, 3596, 2696, 2886, 16, 3219, 11465, 282, 4542, 26311, 434, 8165, 18, 608, 335, 1991, 16, 1029, 3619, 10575, 16, 685, 12974, 1235, 18, 5333, 2175, 16, 23082, 2141, 1003, 16, 322, 4538, 726, 16, 374, 322, 6830, 324, 3476, 8935, 861, 48340, 274, 5367, 5692, 16, 374, 22974, 349, 31632, 10180, 40356, 15045, 322, 3118, 18, 2320, 15320, 18524, 15441, 1038, 29309, 867, 16, 374, 26311, 451, 2886, 15732, 282, 5034, 668, 18614, 425, 18, 824, 505, 3163, 16, 334, 19955, 10390, 721, 36537, 1188, 48658, 282, 3436, 25, 3763, 2791, 906, 12974, 12720, 764, 282, 4440, 1045, 282, 5305, 18558, 18, 1397, 5327, 7842, 43194, 16, 18524, 15441, 9848, 16, 374, 282, 4440, 1045, 26311, 451, 1551, 10954, 3003, 16, 5938, 5076, 281, 882, 837, 906, 22279, 324, 11617, 23082, 18, 478, 2176, 2218, 2193, 16, 1743, 281, 43716, 2611, 9368, 349, 2948, 1574, 17980, 8361, 16, 428, 2763, 297, 7656, 16, 510, 14291, 15320, 439, 19081, 439, 1484, 3583, 18, 510, 2763, 297, 7656, 6929, 4000, 3508, 2733, 2175, 18450, 4315, 868, 778, 17910, 861, 640, 803, 685, 28809, 23511, 16, 1011, 2024, 22974, 371, 7145, 294, 22812, 8608, 9506, 432, 20481, 1101, 18, 23656, 48944, 7299, 16338, 16, 374, 2763, 297, 7656, 2141, 322, 9733, 17884, 282, 12564, 16, 367, 1747, 22812, 10197, 687, 505, 17187, 16, 5024, 282, 4542, 28081, 14160, 18, 2, 1, 87, 1456, 81, 2448, 30, 22, 4238, 9293, 7416, 3017, 16, 785, 10933, 9985, 548, 282, 9085, 2125, 12848, 2145, 30, 1223, 22154, 387, 45041, 411, 2553, 5259, 11854, 18, 29598, 347, 2873, 726, 7788, 20966, 4676, 478, 36337, 416, 23703, 910, 282, 1754, 21162, 1756, 289, 34042, 25970, 16, 289 ]
[ 16, 428, 16144, 16775, 6569, 16, 2864, 1876, 1175, 1858, 3836, 282, 1634, 9643, 1217, 1232, 868, 539, 5922, 510, 1441, 281, 3195, 478, 7348, 303, 37399, 470, 289, 478, 476, 4029, 1311, 553, 861, 31224, 30, 26404, 387, 10492, 467, 411, 2553, 5259, 9985, 712, 282, 8408, 30774, 617, 281, 8579, 5885, 282, 2630, 281, 8344, 44363, 7542, 4258, 2025, 326, 12096, 39903, 9798, 20174, 47615, 11088, 48083, 12169, 282, 7211, 1212, 4891, 267, 15306, 18, 1415, 303, 1175, 282, 2145, 15626, 43132, 1624, 1029, 17029, 8612, 6519, 478, 28845, 1214, 2206, 35013, 11944, 910, 2815, 289, 290, 970, 16, 374, 2900, 478, 25569, 1443, 30483, 17, 14210, 933, 7080, 470, 975, 12741, 322, 6898, 18, 824, 43765, 12068, 1717, 9838, 28499, 510, 48936, 334, 7786, 30806, 282, 1767, 28481, 445, 2830, 427, 16, 510, 2628, 16, 3424, 4128, 15165, 21778, 282, 2089, 17904, 454, 16, 827, 4765, 2420, 2155, 1175, 289, 2145, 9001, 9620, 289, 5035, 35109, 28565, 367, 475, 575, 9934, 282, 803, 1045, 18, 415, 970, 16, 374, 3433, 4765, 25753, 16, 4848, 583, 28565, 334, 8872, 30194, 3692, 434, 11330, 281, 30012, 18, 817, 575, 289, 24763, 364, 4421, 11330, 510, 21394, 25678, 25970, 16, 309, 15592, 1754, 16, 2628, 16, 1858, 9523, 1871, 8711, 448, 35527, 18, 31309, 276, 290, 970, 16, 374, 678, 895, 40090, 3424, 16, 44082, 1011, 924, 16, 428, 4770, 1175, 282, 7978, 750, 3197, 38458, 2732, 1433, 4848, 290, 9878, 8711, 547, 38257, 16, 1480, 547, 18150, 3591, 8187, 451, 11200, 18, 7249, 309, 502, 374, 2301, 14971, 4608, 9529, 28169, 454, 9620, 428, 6447, 354, 4178, 2127, 16, 3333, 14697, 45691, 505, 1694, 25672, 309, 6402, 8711, 668, 31295, 392, 16, 1435, 7529, 371, 16078, 1035, 18, 3026, 5130, 290, 970, 16, 374, 3771, 895, 8538, 309, 478, 599, 17871, 1066, 2332, 744, 599, 17871, 553, 470, 289, 22617, 8711, 539, 5472, 6197, 16411, 1279, 20853, 2145, 18, 365, 1335, 2630, 20460, 25514, 16523, 2145, 11826, 779, 15141, 1893, 18959, 282, 11673, 4014, 1165, 28481, 6617, 12998, 17249, 16411, 428, 1078, 309, 30225, 453, 10328, 8711, 539, 5472, 18, 2046, 282, 2145, 13056, 802, 322, 687, 28481, 6617, 1175, 16, 515, 289, 478, 6952, 432, 15774, 861, 996, 16, 5037, 7920, 44922, 2145, 334, 4154, 3250, 26246, 36186, 6147, 22004, 8117, 268, 3418, 312, 3893, 16, 374, 3771, 895, 3836, 15792, 22333, 1066, 16, 367, 1038, 9868, 38485, 513, 4447, 1217, 1232, 868, 432, 7257, 541, 924, 16, 753, 27904, 334, 2689, 2818, 1582, 14073, 4734, 18, 1591, 808, 5843, 18970, 21963, 16, 1586, 12935, 282, 3998, 3990, 282, 12320, 547, 41305, 37931, 607, 1816, 289, 10830, 9487, 282, 30967, 16, 8117, 268, 3418, 312, 2815, 16, 374, 10933, 36667, 1747, 6925, 2795, 282, 33937, 289, 29686, 10764, 4267, 18068, 298, 23519, 13607, 10558, 22039, 448, 8862, 18, 4663, 5173, 4040, 2361, 510, 15408, 19874, 282, 970, 16, 374, 2145, 322, 1513, 19132, 9637, 10126, 448, 7435, 16, 1033, 924, 16, 360, 6617, 2900, 4528, 2353, 10419, 2141, 18, 824, 4734, 8117, 268, 3418, 312, 16, 481, 840, 25385, 289, 1248, 15646, 478, 7348, 303, 1476, 470, 473, 7809, 8205, 18078, 548, 19874, 282, 36539, 934, 289, 1248, 12186, 18537, 432, 43857, 16, 5358, 1587, 349, 6051, 399, 12058, 289, 3038, 360, 28481, 6617, 18, 478, 1358, 6604, 3797, 16, 374, 656, 764, 25983, 4703, 1033, 38201, 20760, 11461, 477, 1963, 1175, 16, 510, 5692, 31279, 503, 18, 510, 1606, 10278, 802, 16, 753, 25371, 309, 4126, 13595, 10120, 16, 360, 2024, 840, 282, 970, 2875, 24960, 9457, 2759, 25514, 31295, 318, 861, 12280, 8097, 16, 374, 21394, 14938, 5514, 1175, 282, 36539, 2438, 30146, 21802, 322, 687, 329, 23603, 16, 515, 289, 25545, 4436, 6684, 6043, 18, 365, 3998, 3990, 5037, 28397, 24596, 22616, 2145, 6118, 4257, 10513, 20176, 6217, 513, 1630, 345, 2815, 282, 15727, 34766, 16, 374, 329, 6684, 1003, 7203, 16321, 16, 428, 11203, 281, 17566, 1175, 282, 30133, 37642, 1207, 18, 478, 45211, 695, 16, 827, 13880, 32645, 7583, 14016, 334, 15792, 22333, 553, 282, 36539, 16, 678, 22073, 798, 309, 39215, 546, 16711, 19069, 16, 20835, 282, 16711, 5439, 292, 289, 29723, 2244, 16, 510, 4848, 6217, 513, 1630, 345, 18, 510, 10334, 1800, 912, 5502, 11548, 541, 6226, 4447, 8063, 17, 2592, 266, 4171, 541, 6143, 25090, 21522, 16, 2388, 3193, 1698, 17877, 13312, 15185, 31537, 861, 5181, 16, 2353, 8097, 16, 374, 726, 1011, 1728, 11815, 8117, 268, 3418, 312, 282, 27561, 281, 5574, 1525, 30047, 14012, 18045, 453, 289, 322, 2564, 8055, 309, 1247, 16, 912, 520, 329, 1047, 15463, 16, 374, 10933, 36667, 8527, 4364, 5998, 11673, 43857, 18, 478, 11233, 3073, 16, 656, 2125, 29483, 4703, 1143, 22885, 6033, 282, 803, 4599, 16, 828, 3255, 910, 510, 2815, 492, 18, 967, 803, 16, 4538, 290, 14938, 46875, 7583, 1963, 25371, 309, 1217, 1232, 868, 539, 5922, 16, 13205, 31279, 503, 2055, 271, 709, 309, 46916, 298, 7050, 6549, 24037, 1624, 988, 17930, 290, 970, 16, 374, 3875, 1413, 4615, 7957, 309, 5922, 1279, 28481, 6617, 282, 7044, 282, 11238, 17, 42653, 3142, 18, 478, 677, 10423, 17, 292, 745, 15111, 8059, 541, 27738, 16, 745, 2966, 6355, 2726, 12832, 8156, 16, 745, 25529, 6985, 16775, 6549, 289, 15111, 2764, 910, 510, 6877, 300, 5037, 7920, 44922, 2145, 334, 4154, 3250, 26246, 18, 824, 505, 4734, 16, 1314, 840, 2820, 453, 575, 16, 515, 764, 289, 281, 29452, 2608, 18, 17479, 275, 7892, 290, 970, 16, 374, 2002, 322, 15907, 266, 28481, 6617, 5216, 16, 3875, 2826, 7556, 17463, 282, 1634, 9643, 1217, 1232, 868, 539, 5922, 282, 7044, 16, 10021, 1687, 28343, 8711, 536, 8187, 395, 16, 3043, 22058, 282, 13269, 7338, 18, 1236, 1232, 868, 549, 39427, 7556, 42916, 289, 282, 2145, 16, 6177, 2805, 38485, 11968, 5726, 289, 322, 6898, 510, 33054, 7352, 9092, 39178, 11673, 1977, 2279, 349, 2309, 18, 996, 16, 282, 8151, 10423, 17, 292, 5521, 28383, 12765, 27738, 1559, 13778, 1779, 329, 23127, 1642, 13205, 13246, 18609, 931, 30231, 14397, 868, 18, 7249, 309, 502, 374, 3262, 12568, 2523, 20293, 639, 7101, 286, 282, 3177, 17472, 40226, 2309, 360, 28481, 6617, 16, 282, 3875, 505, 15384, 16, 753, 23796, 2904, 360, 4758, 27783, 510, 12097, 48427, 401, 1624, 1029, 282, 481, 808, 6820, 282, 11578, 30324, 22604, 18, 4199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 428, 16144, 16775, 6569, 16, 2864, 1876, 1175, 1858, 3836, 282, 1634, 9643, 1217, 1232, 868, 539, 5922, 510, 1441, 281, 3195, 478, 7348, 303, 37399, 470, 289, 478, 476, 4029, 1311, 553, 861, 31224, 30, 26404, 387, 10492, 467, 411, 2553, 5259, 9985, 712, 282, 8408, 30774, 617, 281, 8579, 5885, 282, 2630, 281, 8344, 44363, 7542, 4258, 2025, 326, 12096, 39903, 9798, 20174, 47615, 11088, 48083, 12169, 282, 7211, 1212, 4891, 267, 15306, 18, 1415, 303, 1175, 282, 2145, 15626, 43132, 1624, 1029, 17029, 8612, 6519, 478, 28845, 1214, 2206, 35013, 11944, 910, 2815, 289, 290, 970, 16, 374, 2900, 478, 25569, 1443, 30483, 17, 14210, 933, 7080, 470, 975, 12741, 322, 6898, 18, 824, 43765, 12068, 1717, 9838, 28499, 510, 48936, 334, 7786, 30806, 282, 1767, 28481, 445, 2830, 427, 16, 510, 2628, 16, 3424, 4128, 15165, 21778, 282, 2089, 17904, 454, 16, 827, 4765, 2420, 2155, 1175, 289, 2145, 9001, 9620, 289, 5035, 35109, 28565, 367, 475, 575, 9934, 282, 803, 1045, 18, 415, 970, 16, 374, 3433, 4765, 25753, 16, 4848, 583, 28565, 334, 8872, 30194, 3692, 434, 11330, 281, 30012, 18, 817, 575, 289, 24763, 364, 4421, 11330, 510, 21394, 25678, 25970, 16, 309, 15592, 1754, 16, 2628, 16, 1858, 9523, 1871, 8711, 448, 35527, 18, 31309, 276, 290, 970, 16, 374, 678, 895, 40090, 3424, 16, 44082, 1011, 924, 16, 428, 4770, 1175, 282, 7978, 750, 3197, 38458, 2732, 1433, 4848, 290, 9878, 8711, 547, 38257, 16, 1480, 547, 18150, 3591, 8187, 451, 11200, 18, 7249, 309, 502, 374, 2301, 14971, 4608, 9529, 28169, 454, 9620, 428, 6447, 354, 4178, 2127, 16, 3333, 14697, 45691, 505, 1694, 25672, 309, 6402, 8711, 668, 31295, 392, 16, 1435, 7529, 371, 16078, 1035, 18, 3026, 5130, 290, 970, 16, 374, 3771, 895, 8538, 309, 478, 599, 17871, 1066, 2332, 744, 599, 17871, 553, 470, 289, 22617, 8711, 539, 5472, 6197, 16411, 1279, 20853, 2145, 18, 365, 1335, 2630, 20460, 25514, 16523, 2145, 11826, 779, 15141, 1893, 18959, 282, 11673, 4014, 1165, 28481, 6617, 12998, 17249, 16411, 428, 1078, 309, 30225, 453, 10328, 8711, 539, 5472, 18, 2046, 282, 2145, 13056, 802, 322, 687, 28481, 6617, 1175, 16, 515, 289, 478, 6952, 432, 15774, 861, 996, 16, 5037, 7920, 44922, 2145, 334, 4154, 3250, 26246, 36186, 6147, 22004, 8117, 268, 3418, 312, 3893, 16, 374, 3771, 895, 3836, 15792, 22333, 1066, 16, 367, 1038, 9868, 38485, 513, 4447, 1217, 1232, 868, 432, 7257, 541, 924, 16, 753, 27904, 334, 2689, 2818, 1582, 14073, 4734, 18, 1591, 808, 5843, 18970, 21963, 16, 1586, 12935, 282, 3998, 3990, 282, 12320, 547, 41305, 37931, 607, 1816, 289, 10830, 9487, 282, 30967, 16, 8117, 268, 3418, 312, 2815, 16, 374, 10933, 36667, 1747, 6925, 2795, 282, 33937, 289, 29686, 10764, 4267, 18068, 298, 23519, 13607, 10558, 22039, 448, 8862, 18, 4663, 5173, 4040, 2361, 510, 15408, 19874, 282, 970, 16, 374, 2145, 322, 1513, 19132, 9637, 10126, 448, 7435, 16, 1033, 924, 16, 360, 6617, 2900, 4528, 2353, 10419, 2141, 18, 824, 4734, 8117, 268, 3418, 312, 16, 481, 840, 25385, 289, 1248, 15646, 478, 7348, 303, 1476, 470, 473, 7809, 8205, 18078, 548, 19874, 282, 36539, 934, 289, 1248, 12186, 18537, 432, 43857, 16, 5358, 1587, 349, 6051, 399, 12058, 289, 3038, 360, 28481, 6617, 18, 478, 1358, 6604, 3797, 16, 374, 656, 764, 25983, 4703, 1033, 38201, 20760, 11461, 477, 1963, 1175, 16, 510, 5692, 31279, 503, 18, 510, 1606, 10278, 802, 16, 753, 25371, 309, 4126, 13595, 10120, 16, 360, 2024, 840, 282, 970, 2875, 24960, 9457, 2759, 25514, 31295, 318, 861, 12280, 8097, 16, 374, 21394, 14938, 5514, 1175, 282, 36539, 2438, 30146, 21802, 322, 687, 329, 23603, 16, 515, 289, 25545, 4436, 6684, 6043, 18, 365, 3998, 3990, 5037, 28397, 24596, 22616, 2145, 6118, 4257, 10513, 20176, 6217, 513, 1630, 345, 2815, 282, 15727, 34766, 16, 374, 329, 6684, 1003, 7203, 16321, 16, 428, 11203, 281, 17566, 1175, 282, 30133, 37642, 1207, 18, 478, 45211, 695, 16, 827, 13880, 32645, 7583, 14016, 334, 15792, 22333, 553, 282, 36539, 16, 678, 22073, 798, 309, 39215, 546, 16711, 19069, 16, 20835, 282, 16711, 5439, 292, 289, 29723, 2244, 16, 510, 4848, 6217, 513, 1630, 345, 18, 510, 10334, 1800, 912, 5502, 11548, 541, 6226, 4447, 8063, 17, 2592, 266, 4171, 541, 6143, 25090, 21522, 16, 2388, 3193, 1698, 17877, 13312, 15185, 31537, 861, 5181, 16, 2353, 8097, 16, 374, 726, 1011, 1728, 11815, 8117, 268, 3418, 312, 282, 27561, 281, 5574, 1525, 30047, 14012, 18045, 453, 289, 322, 2564, 8055, 309, 1247, 16, 912, 520, 329, 1047, 15463, 16, 374, 10933, 36667, 8527, 4364, 5998, 11673, 43857, 18, 478, 11233, 3073, 16, 656, 2125, 29483, 4703, 1143, 22885, 6033, 282, 803, 4599, 16, 828, 3255, 910, 510, 2815, 492, 18, 967, 803, 16, 4538, 290, 14938, 46875, 7583, 1963, 25371, 309, 1217, 1232, 868, 539, 5922, 16, 13205, 31279, 503, 2055, 271, 709, 309, 46916, 298, 7050, 6549, 24037, 1624, 988, 17930, 290, 970, 16, 374, 3875, 1413, 4615, 7957, 309, 5922, 1279, 28481, 6617, 282, 7044, 282, 11238, 17, 42653, 3142, 18, 478, 677, 10423, 17, 292, 745, 15111, 8059, 541, 27738, 16, 745, 2966, 6355, 2726, 12832, 8156, 16, 745, 25529, 6985, 16775, 6549, 289, 15111, 2764, 910, 510, 6877, 300, 5037, 7920, 44922, 2145, 334, 4154, 3250, 26246, 18, 824, 505, 4734, 16, 1314, 840, 2820, 453, 575, 16, 515, 764, 289, 281, 29452, 2608, 18, 17479, 275, 7892, 290, 970, 16, 374, 2002, 322, 15907, 266, 28481, 6617, 5216, 16, 3875, 2826, 7556, 17463, 282, 1634, 9643, 1217, 1232, 868, 539, 5922, 282, 7044, 16, 10021, 1687, 28343, 8711, 536, 8187, 395, 16, 3043, 22058, 282, 13269, 7338, 18, 1236, 1232, 868, 549, 39427, 7556, 42916, 289, 282, 2145, 16, 6177, 2805, 38485, 11968, 5726, 289, 322, 6898, 510, 33054, 7352, 9092, 39178, 11673, 1977, 2279, 349, 2309, 18, 996, 16, 282, 8151, 10423, 17, 292, 5521, 28383, 12765, 27738, 1559, 13778, 1779, 329, 23127, 1642, 13205, 13246, 18609, 931, 30231, 14397, 868, 18, 7249, 309, 502, 374, 3262, 12568, 2523, 20293, 639, 7101, 286, 282, 3177, 17472, 40226, 2309, 360, 28481, 6617, 16, 282, 3875, 505, 15384, 16, 753, 23796, 2904, 360, 4758, 27783, 510, 12097, 48427, 401, 1624, 1029, 282, 481, 808, 6820, 282, 11578, 30324, 22604, 18, 4199 ]
[ 1133, 2891, 1038, 7556, 15384, 282, 1634, 9643, 289, 3445, 668, 1582, 6731, 15740, 478, 677, 6163, 349, 10908, 2357, 25514, 2793, 861, 4988, 47490, 2684, 5772, 685, 20276, 451, 16063, 31642, 2414, 10618, 688, 604, 291, 1624, 846, 447, 1779, 282, 2159, 808, 15465, 3875, 37026, 32838, 25113, 18, 967, 803, 478, 23920, 14891, 470, 349, 2309, 334, 17, 6093, 44737, 18, 37167, 29617, 334, 4092, 11188, 28481, 6617, 16, 47215, 2019, 2855, 411, 478, 1431, 2607, 910, 282, 6104, 1045, 7356, 35361, 2127, 21901, 2422, 349, 2768, 334, 478, 960, 32701, 6879, 4612, 294, 29419, 4118, 14151, 536, 40514, 6714, 8886, 28481, 6617, 861, 5181, 16, 4813, 309, 502, 374, 1977, 873, 1279, 28481, 6617, 334, 17, 6093, 16605, 16841, 16, 7190, 43857, 16, 961, 23054, 1279, 20264, 28481, 6617, 16, 281, 7107, 9125, 17273, 4110, 309, 1694, 31279, 4111, 8117, 268, 3418, 312, 289, 12002, 16, 374, 3300, 505, 5348, 510, 23796, 8770, 360, 21539, 1791, 18, 478, 10789, 265, 322, 2397, 9084, 20862, 874, 34181, 9949, 25514, 2793, 18, 10110, 2145, 36176, 28565, 289, 22004, 8117, 268, 3418, 312, 3755, 5985, 281, 2184, 2419, 910, 510, 5273, 4770, 1217, 1232, 868, 416, 15289, 3320, 11131, 7931, 5011, 6513, 33483, 10167, 2901, 2440, 440, 913, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11877, 6774, 5475, 14007, 2422, 282, 9019, 1079, 313, 493, 1683, 32210, 3909, 354, 6147, 16722, 46102, 840, 15707, 16607, 4027, 2422, 282, 9019, 1079, 313, 493, 1683, 32210, 334, 7475, 1234, 20989, 282, 12118, 477, 2200, 19753, 569, 2409, 1278, 326, 8474, 4807, 1305, 18, 18500, 28410, 34116, 307, 30415, 1042, 262, 38985, 31107, 2704, 7192, 11105, 14007, 1703, 4437, 304, 282, 35107, 281, 28994, 3347, 35198, 13705, 312, 299, 18, 31224, 30, 677, 11877, 282, 8882, 390, 15022, 9934, 16, 4213, 16, 4836, 13865, 779, 282, 7211, 1212, 3714, 409, 30, 10793, 5854, 7466, 5540, 4579, 818, 853, 282, 9019, 1079, 9500, 304, 32210, 16, 14007, 2422, 334, 7475, 1234, 20989, 16722, 46102, 34611, 847, 477, 2200, 19753, 569, 2409, 1278, 326, 8474, 4807, 1305, 18, 30233, 4722, 3800, 46102, 16, 1176, 411, 1949, 24621, 11719, 365, 1918, 3583, 473, 324, 521, 554, 281, 2242, 296, 7942, 5423, 332, 547, 688, 2563, 13432, 934, 19765, 282, 12335, 978, 779, 18, 3529, 46102, 5983, 9058, 16, 428, 2072, 7788, 37970, 309, 22993, 16, 749, 15688, 1791, 7000, 706, 281, 28343, 13546, 547, 50035, 3883, 711, 304, 18, 46102, 21528, 3064, 309, 7266, 1223, 37358, 16, 3857, 14709, 274, 9798, 4027, 353, 502, 6150, 302, 452, 11569, 16, 282, 502, 575, 808, 3716, 322, 5505, 10551, 537, 2236, 11301, 434, 10687, 16, 289, 282, 6031, 17060, 32117, 35328, 20472, 282, 43660, 496, 36493, 18, 439, 1215, 290, 47627, 21680, 11186, 28504, 274, 1278, 326, 8474, 4807, 913, 10933, 49270, 3714, 507, 4247, 2319, 45263, 10941, 18, 11166, 17, 7745, 11750, 13097, 23455, 16, 453, 575, 428, 289, 505, 42262, 16, 282, 4722, 445, 31715, 309, 1702, 268, 1484, 282, 12335, 16, 282, 12118, 477, 2200, 19753, 569, 2409, 22004, 1683, 1034, 293, 1630, 496, 18, 824, 2004, 368, 39665, 1715, 1912, 20237, 2169, 16, 289, 282, 6031, 46906, 2612, 10587, 4693, 449, 1736, 301, 329, 1728, 21680, 1321, 349, 13270, 10452, 17827, 28017, 16, 4233, 275, 1034, 293, 1630, 354, 282, 35328, 487, 18, 640, 2615, 2193, 3260, 28504, 274, 895, 19490, 2702, 16417, 30, 1278, 326, 9225, 1223, 1472, 2418, 17, 306, 39061, 282, 25902, 1234, 20989, 16, 11256, 17, 3697, 2826, 15413, 2435, 5474, 4868, 27103, 11209, 322, 895, 16, 581, 289, 2141, 840, 22255, 349, 16607, 4027, 2422, 282, 2615, 445, 18, 2046, 289, 2856, 912, 7212, 3147, 5751, 3589, 20136, 30, 43862, 16780, 4968, 8474, 4807, 853, 473, 2607, 6591, 16, 7089, 16, 4896, 1877, 699, 13, 828, 17, 299, 12016, 10122, 14200, 39896, 18, 16476, 16, 30639, 282, 8882, 390, 15022, 46102, 25599, 428, 16129, 294, 22534, 281, 5045, 17, 299, 411, 26113, 16, 281, 6133, 492, 16, 4818, 16, 3957, 424, 13247, 16, 428, 2504, 2107, 16, 290, 8766, 322, 445, 27834, 18, 403, 2222, 575, 7212, 3702, 6769, 2323, 289, 24359, 5581, 24409, 17915, 30, 1696, 4765, 1251, 5512, 7211, 3334, 3714, 16840, 2661, 37423, 939, 3084, 2354, 329, 36283, 289, 16, 428, 13391, 16, 5568, 1898, 36728, 35818, 40744, 18, 5043, 1716, 484, 16, 374, 12650, 761, 23608, 7120, 12999, 282, 47627, 33997, 5837, 1653, 17, 2767, 322, 2353, 18, 46906, 2612, 19765, 939, 11301, 668, 16129, 294, 12496, 454, 16, 581, 289, 4765, 281, 28504, 339, 510, 4722, 9700, 1278, 326, 282, 13627, 7212, 3499, 282, 5901, 16507, 3714, 507, 18, 365, 21968, 1212, 1278, 326, 912, 828, 27103, 11209, 30, 282, 6383, 1045, 282, 10411, 968, 492, 17060, 14557, 1133, 4466, 18, 1397, 393, 16, 309, 5939, 8474, 4807, 853, 16, 49746, 16, 2319, 1033, 9250, 6591, 16, 367, 1177, 20251, 282, 3714, 409, 1494, 5195, 32062, 17780, 6007, 16, 367, 1215, 282, 1888, 10147, 1321, 292, 28504, 274, 492, 9972, 322, 41323, 18, 34985, 322, 7081, 16, 7872, 4803, 282, 8023, 16, 581, 289, 322, 2023, 16, 374, 2654, 17, 2767, 1143, 9773, 18, 46102, 510, 1008, 451, 28608, 2640, 16, 515, 282, 3714, 409, 16, 428, 3665, 16, 895, 18815, 1653, 16, 374, 6922, 18, 385, 2473, 11984, 451, 30639, 9934, 309, 33076, 478, 684, 291, 3376, 288, 1845, 599, 488, 748, 470, 282, 1870, 12560, 17610, 473, 4261, 266, 9822, 562, 16, 2145, 934, 988, 34116, 307, 30415, 1042, 262, 16, 1814, 7216, 12916, 35335, 304, 2422, 1844, 6099, 360, 2205, 1161, 9044, 16, 34611, 847, 281, 28994, 3347, 35198, 13705, 312, 299, 349, 12766, 2128, 451, 16607, 4027, 2422, 282, 5572, 11099, 32210, 334, 7475, 1234, 11539, 18, 41651, 16, 374, 13705, 312, 299, 4040, 3818, 32683, 7213, 7739, 2409, 3946, 3134, 11294, 293, 12285, 613, 16, 1029, 16, 294, 15695, 16, 1623, 38004, 13165, 1015, 282, 10096, 2205, 1385, 19084, 292, 18, 640, 3781, 17, 19858, 1188, 38611, 30415, 1042, 262, 282, 1595, 2209, 975, 33912, 322, 1559, 351, 462, 2102, 8888, 3673, 282, 4459, 1728, 6763, 16, 2686, 15488, 16, 374, 30639, 20143, 14497, 21861, 16, 367, 16410, 8633, 349, 1498, 18, 478, 11233, 22508, 9099, 21080, 16, 651, 3012, 1898, 1694, 30415, 1042, 262, 951, 7591, 5109, 71, 9830, 18, 651, 629, 3730, 1853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1133, 2891, 1038, 7556, 15384, 282, 1634, 9643, 289, 3445, 668, 1582, 6731, 15740, 478, 677, 6163, 349, 10908, 2357, 25514, 2793, 861, 4988, 47490, 2684, 5772, 685, 20276, 451, 16063, 31642, 2414, 10618, 688, 604, 291, 1624, 846, 447, 1779, 282, 2159, 808, 15465, 3875, 37026, 32838, 25113, 18, 967, 803, 478, 23920, 14891, 470, 349, 2309, 334, 17, 6093, 44737, 18, 37167, 29617, 334, 4092, 11188, 28481, 6617, 16, 47215, 2019, 2855, 411, 478, 1431, 2607, 910, 282, 6104, 1045, 7356, 35361, 2127, 21901, 2422, 349, 2768, 334, 478, 960, 32701, 6879, 4612, 294, 29419, 4118, 14151, 536, 40514, 6714, 8886, 28481, 6617, 861, 5181, 16, 4813, 309, 502, 374, 1977, 873, 1279, 28481, 6617, 334, 17, 6093, 16605, 16841, 16, 7190, 43857, 16, 961, 23054, 1279, 20264, 28481, 6617, 16, 281, 7107, 9125, 17273, 4110, 309, 1694, 31279, 4111, 8117, 268, 3418, 312, 289, 12002, 16, 374, 3300, 505, 5348, 510, 23796, 8770, 360, 21539, 1791, 18, 478, 10789, 265, 322, 2397, 9084, 20862, 874, 34181, 9949, 25514, 2793, 18, 10110, 2145, 36176, 28565, 289, 22004, 8117, 268, 3418, 312, 3755, 5985, 281, 2184, 2419, 910, 510, 5273, 4770, 1217, 1232, 868, 416, 15289, 3320, 11131, 7931, 5011, 6513, 33483, 10167, 2901, 2440, 440, 913, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11877, 6774, 5475, 14007, 2422, 282, 9019, 1079, 313, 493, 1683, 32210, 3909, 354, 6147, 16722, 46102, 840, 15707, 16607, 4027, 2422, 282, 9019, 1079, 313, 493, 1683, 32210, 334, 7475, 1234, 20989, 282, 12118, 477, 2200, 19753, 569, 2409, 1278, 326, 8474, 4807, 1305, 18, 18500, 28410, 34116, 307, 30415, 1042, 262, 38985, 31107, 2704, 7192, 11105, 14007, 1703, 4437, 304, 282, 35107, 281, 28994, 3347, 35198, 13705, 312, 299, 18, 31224, 30, 677, 11877, 282, 8882, 390, 15022, 9934, 16, 4213, 16, 4836, 13865, 779, 282, 7211, 1212, 3714, 409, 30, 10793, 5854, 7466, 5540, 4579, 818, 853, 282, 9019, 1079, 9500, 304, 32210, 16, 14007, 2422, 334, 7475, 1234, 20989, 16722, 46102, 34611, 847, 477, 2200, 19753, 569, 2409, 1278, 326, 8474, 4807, 1305, 18, 30233, 4722, 3800, 46102, 16, 1176, 411, 1949, 24621, 11719, 365, 1918, 3583, 473, 324, 521, 554, 281, 2242, 296, 7942, 5423, 332, 547, 688, 2563, 13432, 934, 19765, 282, 12335, 978, 779, 18, 3529, 46102, 5983, 9058, 16, 428, 2072, 7788, 37970, 309, 22993, 16, 749, 15688, 1791, 7000, 706, 281, 28343, 13546, 547, 50035, 3883, 711, 304, 18, 46102, 21528, 3064, 309, 7266, 1223, 37358, 16, 3857, 14709, 274, 9798, 4027, 353, 502, 6150, 302, 452, 11569, 16, 282, 502, 575, 808, 3716, 322, 5505, 10551, 537, 2236, 11301, 434, 10687, 16, 289, 282, 6031, 17060, 32117, 35328, 20472, 282, 43660, 496, 36493, 18, 439, 1215, 290, 47627, 21680, 11186, 28504, 274, 1278, 326, 8474, 4807, 913, 10933, 49270, 3714, 507, 4247, 2319, 45263, 10941, 18, 11166, 17, 7745, 11750, 13097, 23455, 16, 453, 575, 428, 289, 505, 42262, 16, 282, 4722, 445, 31715, 309, 1702, 268, 1484, 282, 12335, 16, 282, 12118, 477, 2200, 19753, 569, 2409, 22004, 1683, 1034, 293, 1630, 496, 18, 824, 2004, 368, 39665, 1715, 1912, 20237, 2169, 16, 289, 282, 6031, 46906, 2612, 10587, 4693, 449, 1736, 301, 329, 1728, 21680, 1321, 349, 13270, 10452, 17827, 28017, 16, 4233, 275, 1034, 293, 1630, 354, 282, 35328, 487, 18, 640, 2615, 2193, 3260, 28504, 274, 895, 19490, 2702, 16417, 30, 1278, 326, 9225, 1223, 1472, 2418, 17, 306, 39061, 282, 25902, 1234, 20989, 16, 11256, 17, 3697, 2826, 15413, 2435, 5474, 4868, 27103, 11209, 322, 895, 16, 581, 289, 2141, 840, 22255, 349, 16607, 4027, 2422, 282, 2615, 445, 18, 2046, 289, 2856, 912, 7212, 3147, 5751, 3589, 20136, 30, 43862, 16780, 4968, 8474, 4807, 853, 473, 2607, 6591, 16, 7089, 16, 4896, 1877, 699, 13, 828, 17, 299, 12016, 10122, 14200, 39896, 18, 16476, 16, 30639, 282, 8882, 390, 15022, 46102, 25599, 428, 16129, 294, 22534, 281, 5045, 17, 299, 411, 26113, 16, 281, 6133, 492, 16, 4818, 16, 3957, 424, 13247, 16, 428, 2504, 2107, 16, 290, 8766, 322, 445, 27834, 18, 403, 2222, 575, 7212, 3702, 6769, 2323, 289, 24359, 5581, 24409, 17915, 30, 1696, 4765, 1251, 5512, 7211, 3334, 3714, 16840, 2661, 37423, 939, 3084, 2354, 329, 36283, 289, 16, 428, 13391, 16, 5568, 1898, 36728, 35818, 40744, 18, 5043, 1716, 484, 16, 374, 12650, 761, 23608, 7120, 12999, 282, 47627, 33997, 5837, 1653, 17, 2767, 322, 2353, 18, 46906, 2612, 19765, 939, 11301, 668, 16129, 294, 12496, 454, 16, 581, 289, 4765, 281, 28504, 339, 510, 4722, 9700, 1278, 326, 282, 13627, 7212, 3499, 282, 5901, 16507, 3714, 507, 18, 365, 21968, 1212, 1278, 326, 912, 828, 27103, 11209, 30, 282, 6383, 1045, 282, 10411, 968, 492, 17060, 14557, 1133, 4466, 18, 1397, 393, 16, 309, 5939, 8474, 4807, 853, 16, 49746, 16, 2319, 1033, 9250, 6591, 16, 367, 1177, 20251, 282, 3714, 409, 1494, 5195, 32062, 17780, 6007, 16, 367, 1215, 282, 1888, 10147, 1321, 292, 28504, 274, 492, 9972, 322, 41323, 18, 34985, 322, 7081, 16, 7872, 4803, 282, 8023, 16, 581, 289, 322, 2023, 16, 374, 2654, 17, 2767, 1143, 9773, 18, 46102, 510, 1008, 451, 28608, 2640, 16, 515, 282, 3714, 409, 16, 428, 3665, 16, 895, 18815, 1653, 16, 374, 6922, 18, 385, 2473, 11984, 451, 30639, 9934, 309, 33076, 478, 684, 291, 3376, 288, 1845, 599, 488, 748, 470, 282, 1870, 12560, 17610, 473, 4261, 266, 9822, 562, 16, 2145, 934, 988, 34116, 307, 30415, 1042, 262, 16, 1814, 7216, 12916, 35335, 304, 2422, 1844, 6099, 360, 2205, 1161, 9044, 16, 34611, 847, 281, 28994, 3347, 35198, 13705, 312, 299, 349, 12766, 2128, 451, 16607, 4027, 2422, 282, 5572, 11099, 32210, 334, 7475, 1234, 11539, 18, 41651, 16, 374, 13705, 312, 299, 4040, 3818, 32683, 7213, 7739, 2409, 3946, 3134, 11294, 293, 12285, 613, 16, 1029, 16, 294, 15695, 16, 1623, 38004, 13165, 1015, 282, 10096, 2205, 1385, 19084, 292, 18, 640, 3781, 17, 19858, 1188, 38611, 30415, 1042, 262, 282, 1595, 2209, 975, 33912, 322, 1559, 351, 462, 2102, 8888, 3673, 282, 4459, 1728, 6763, 16, 2686, 15488, 16, 374, 30639, 20143, 14497, 21861, 16, 367, 16410, 8633, 349, 1498, 18, 478, 11233, 22508, 9099, 21080, 16, 651, 3012, 1898, 1694, 30415, 1042, 262, 951, 7591, 5109, 71, 9830, 18, 651, 629, 3730, 1853 ]
[ 14919, 541, 25467, 7653, 30639, 18, 459, 13705, 312, 299, 16, 289, 417, 651, 19894, 1733, 3714, 16840, 394, 16, 961, 45912, 1269, 16602, 18, 889, 840, 7653, 3800, 18, 18948, 9196, 4138, 16, 374, 43374, 840, 6026, 18, 740, 417, 3893, 16, 374, 492, 322, 36095, 281, 3212, 12494, 861, 1397, 393, 16, 360, 12496, 523, 281, 12070, 10553, 1388, 5540, 11294, 293, 12285, 613, 1494, 11272, 18667, 16764, 13915, 735, 16, 2805, 1011, 924, 428, 492, 282, 5021, 1139, 699, 2380, 281, 1702, 17543, 26483, 382, 47462, 5097, 18, 740, 1215, 282, 1360, 9268, 6707, 22793, 282, 11500, 978, 779, 281, 336, 363, 3347, 10167, 49428, 403, 2362, 345, 34116, 307, 453, 289, 322, 3225, 46681, 1634, 28654, 26761, 35328, 20472, 510, 30415, 1042, 262, 21035, 478, 27958, 1472, 470, 334, 6432, 1876, 16, 2686, 282, 11495, 8210, 1207, 322, 4263, 31777, 9902, 537, 309, 5728, 18, 13705, 312, 299, 16, 282, 1423, 3678, 16, 8660, 18621, 322, 1559, 16, 33160, 16, 374, 652, 3273, 341, 30415, 1042, 262, 16, 367, 1038, 4725, 16, 374, 4471, 530, 341, 8955, 1360, 22993, 510, 46191, 18, 478, 1358, 1271, 957, 30415, 1042, 262, 16, 289, 18050, 343, 12845, 14007, 778, 16607, 18, 1787, 703, 481, 840, 30639, 17230, 18, 5890, 7457, 639, 10128, 3928, 16, 1441, 417, 2259, 8055, 349, 1617, 1694, 35406, 289, 30409, 281, 2184, 18, 11824, 28994, 1275, 840, 12606, 703, 16, 289, 417, 31363, 15382, 1177, 3800, 2200, 19753, 569, 4151, 910, 510, 1109, 27363, 343, 6147, 18, 32575, 549, 4636, 6171, 9934, 289, 282, 1217, 868, 3509, 464, 37358, 30415, 1042, 262, 510, 13705, 312, 299, 18, 640, 1702, 268, 1484, 349, 16607, 29277, 4027, 2422, 567, 7422, 1493, 3181, 2529, 32210, 334, 7475, 1234, 20989, 1324, 37082, 13866, 40886, 16586, 778, 14007, 6383, 289, 7520, 5521, 7285, 28410, 26038, 320, 1024, 472, 2711, 356, 660, 289, 2615, 5172, 28799, 43474, 3804, 44133, 27700, 3138, 280, 10478, 18, 12280, 8097, 16, 374, 541, 2555, 17, 11884, 14840, 5850, 756, 8124, 1177, 30639, 4040, 1472, 13379, 11105, 282, 17686, 24087, 18, 6019, 3714, 507, 16, 367, 1038, 5510, 3714, 35223, 282, 11791, 5868, 1234, 20989, 16, 1234, 11539, 16, 1234, 40344, 289, 33599, 42, 942, 5298, 309, 25801, 7759, 1492, 2, 1, 87, 1456, 81, 2448, 30, 6014, 17, 431, 14412, 1791, 18884, 70, 4241, 895, 13541, 294, 8972, 552, 510, 8054, 272, 969, 815, 28887, 18, 740, 349, 2159, 4272, 456, 38057, 30918, 289, 30667, 18974, 9630, 510, 20392, 45519, 1832, 1458, 16, 5143, 1779, 290, 30554, 4144, 3299, 281, 7043, 8296, 9630, 349, 4843, 2692, 25, 3763, 18, 31224, 30, 15767, 1627, 2523, 8054, 18884, 70, 4241, 895, 13541, 294, 411, 3685, 3051, 1728, 8972, 354, 510, 25811, 9630, 969, 815, 28887, 16, 5301, 48240, 16303, 18, 9840, 4377, 271, 1624, 39762, 6187, 969, 815, 28887, 289, 18974, 1149, 13679, 42, 42761, 16, 1754, 9914, 8054, 16, 2815, 16, 374, 505, 3785, 12514, 31373, 7059, 334, 7391, 954, 8390, 282, 47504, 344, 11100, 37357, 282, 10264, 808, 18, 478, 4348, 22055, 1195, 2184, 910, 510, 1109, 4377, 271, 18, 9857, 11977, 2357, 895, 7869, 294, 6409, 36962, 5842, 14364, 9630, 18, 478, 19479, 10041, 16, 19415, 4760, 28120, 289, 9206, 282, 5329, 11534, 6368, 8147, 18, 18884, 70, 4241, 282, 27914, 2753, 4912, 7832, 294, 9044, 478, 3008, 8457, 3975, 910, 969, 815, 28887, 510, 481, 478, 39703, 3975, 910, 282, 2145, 8054, 14449, 47643, 2771, 4118, 910, 510, 12016, 6729, 26391, 3740, 411, 478, 1182, 884, 429, 861, 5043, 16, 30667, 18974, 289, 30918, 18884, 70, 4241, 25926, 17, 7745, 20392, 45519, 1832, 1458, 3957, 8969, 6457, 1195, 2200, 4272, 5375, 18, 20346, 45519, 1832, 1458, 16, 26952, 1715, 5953, 9, 11400, 9630, 281, 12233, 8113, 289, 4039, 9, 749, 1335, 9326, 16, 6455, 13135, 3299, 6247, 8379, 10195, 334, 4843, 25, 16, 25, 349, 10168, 26314, 18, 11492, 11446, 28215, 975, 282, 4843, 2692, 25, 3763, 18, 478, 1140, 45519, 1832, 7671, 912, 475, 16171, 13135, 3299, 8379, 18884, 70, 4241, 22047, 6799, 27847, 281, 7043, 18, 385, 9752, 924, 16, 374, 492, 3957, 26017, 488, 1519, 1992, 29186, 451, 19938, 16, 492, 6455, 7003, 668, 21901, 510, 282, 4317, 5999, 640, 803, 8011, 7072, 11400, 349, 4101, 1421, 2299, 424, 14846, 309, 8653, 7418, 519, 4843, 25, 16, 11498, 349, 19830, 910, 510, 10050, 41330, 49012, 22029, 346, 10015, 478, 4580, 1246, 343, 2800, 470, 19287, 28873, 523, 18, 824, 3163, 14971, 16, 45519, 1832, 1458, 3957, 4144, 3299, 8296, 16, 753, 3604, 7970, 6457, 1195, 18884, 70, 4241, 289, 21977, 505, 43958, 424, 7957, 8972, 354, 16, 374, 7260, 16, 453, 428, 1069, 22805, 322, 939, 23791, 30855, 3416, 9630, 18, 1178, 768, 11172, 1458, 4144, 1748, 475, 8296, 16, 502, 322, 840, 5941, 282, 34042, 349, 4388, 1134, 16, 942, 840, 1033, 15571, 12779, 8054, 304, 18, 2949, 924, 16, 4144, 24691, 8296, 16, 45519, 1832, 1458, 5304, 5848, 302, 538, 38471, 289, 7631, 281, 42469, 510, 481, 8350, 975, 26417, 309, 1783, 2662, 16, 14381, 541, 26209, 36245, 11400, 309, 21767, 18, 967, 2567, 15340, 8970, 6029, 541, 969, 815, 28887, 510, 11567, 45519, 1832, 1458, 272, 13739, 1992, 1210, 7216, 11446, 281, 6336, 355, 294, 505, 575, 22061, 49924, 16296, 3328, 41754, 2381, 16, 5788, 82, 14697, 18, 12660, 7059, 45519, 1832, 7671, 29732, 41754, 2381, 1033, 21279, 18, 7743, 282, 970, 16, 374, 935, 567, 808, 16488, 1672, 351, 9589, 309, 26476, 870, 8379, 693, 925, 16837, 4843, 24, 16, 27, 16, 367, 294, 2090, 1427, 745, 23964, 519, 32023, 4843, 23, 16, 27, 18, 9639, 41977, 9351, 14380, 2702, 821, 5881, 416, 15861, 21285, 282, 18884, 70, 4241, 22047, 6799, 27847, 16, 5273, 28873, 523, 18, 1012, 344, 2147, 2241, 594, 297, 307, 2712, 726, 1421, 779, 18, 365, 5653, 1045, 678, 14231, 4843, 23, 5041, 3763, 16, 282, 5049, 17, 277, 510, 4843, 6894, 22, 3763, 16, 367, 282, 5021, 17, 277, 510, 4843, 22, 5041, 16, 24, 3763, 18, 967, 803, 4101, 1272, 779, 3785, 13155, 1825, 324, 30, 282, 5049, 1045, 678, 15018, 332, 48770, 309, 4843, 46504, 3763, 16, 367, 282, 5021, 473, 267, 2885, 659, 1939, 9, 6814, 13, 510, 4843, 12086, 16, 23, 3763, 18, 16375, 675, 9630, 18884, 70, 4241, 3585, 40485, 282, 4101, 3142, 411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14919, 541, 25467, 7653, 30639, 18, 459, 13705, 312, 299, 16, 289, 417, 651, 19894, 1733, 3714, 16840, 394, 16, 961, 45912, 1269, 16602, 18, 889, 840, 7653, 3800, 18, 18948, 9196, 4138, 16, 374, 43374, 840, 6026, 18, 740, 417, 3893, 16, 374, 492, 322, 36095, 281, 3212, 12494, 861, 1397, 393, 16, 360, 12496, 523, 281, 12070, 10553, 1388, 5540, 11294, 293, 12285, 613, 1494, 11272, 18667, 16764, 13915, 735, 16, 2805, 1011, 924, 428, 492, 282, 5021, 1139, 699, 2380, 281, 1702, 17543, 26483, 382, 47462, 5097, 18, 740, 1215, 282, 1360, 9268, 6707, 22793, 282, 11500, 978, 779, 281, 336, 363, 3347, 10167, 49428, 403, 2362, 345, 34116, 307, 453, 289, 322, 3225, 46681, 1634, 28654, 26761, 35328, 20472, 510, 30415, 1042, 262, 21035, 478, 27958, 1472, 470, 334, 6432, 1876, 16, 2686, 282, 11495, 8210, 1207, 322, 4263, 31777, 9902, 537, 309, 5728, 18, 13705, 312, 299, 16, 282, 1423, 3678, 16, 8660, 18621, 322, 1559, 16, 33160, 16, 374, 652, 3273, 341, 30415, 1042, 262, 16, 367, 1038, 4725, 16, 374, 4471, 530, 341, 8955, 1360, 22993, 510, 46191, 18, 478, 1358, 1271, 957, 30415, 1042, 262, 16, 289, 18050, 343, 12845, 14007, 778, 16607, 18, 1787, 703, 481, 840, 30639, 17230, 18, 5890, 7457, 639, 10128, 3928, 16, 1441, 417, 2259, 8055, 349, 1617, 1694, 35406, 289, 30409, 281, 2184, 18, 11824, 28994, 1275, 840, 12606, 703, 16, 289, 417, 31363, 15382, 1177, 3800, 2200, 19753, 569, 4151, 910, 510, 1109, 27363, 343, 6147, 18, 32575, 549, 4636, 6171, 9934, 289, 282, 1217, 868, 3509, 464, 37358, 30415, 1042, 262, 510, 13705, 312, 299, 18, 640, 1702, 268, 1484, 349, 16607, 29277, 4027, 2422, 567, 7422, 1493, 3181, 2529, 32210, 334, 7475, 1234, 20989, 1324, 37082, 13866, 40886, 16586, 778, 14007, 6383, 289, 7520, 5521, 7285, 28410, 26038, 320, 1024, 472, 2711, 356, 660, 289, 2615, 5172, 28799, 43474, 3804, 44133, 27700, 3138, 280, 10478, 18, 12280, 8097, 16, 374, 541, 2555, 17, 11884, 14840, 5850, 756, 8124, 1177, 30639, 4040, 1472, 13379, 11105, 282, 17686, 24087, 18, 6019, 3714, 507, 16, 367, 1038, 5510, 3714, 35223, 282, 11791, 5868, 1234, 20989, 16, 1234, 11539, 16, 1234, 40344, 289, 33599, 42, 942, 5298, 309, 25801, 7759, 1492, 2, 1, 87, 1456, 81, 2448, 30, 6014, 17, 431, 14412, 1791, 18884, 70, 4241, 895, 13541, 294, 8972, 552, 510, 8054, 272, 969, 815, 28887, 18, 740, 349, 2159, 4272, 456, 38057, 30918, 289, 30667, 18974, 9630, 510, 20392, 45519, 1832, 1458, 16, 5143, 1779, 290, 30554, 4144, 3299, 281, 7043, 8296, 9630, 349, 4843, 2692, 25, 3763, 18, 31224, 30, 15767, 1627, 2523, 8054, 18884, 70, 4241, 895, 13541, 294, 411, 3685, 3051, 1728, 8972, 354, 510, 25811, 9630, 969, 815, 28887, 16, 5301, 48240, 16303, 18, 9840, 4377, 271, 1624, 39762, 6187, 969, 815, 28887, 289, 18974, 1149, 13679, 42, 42761, 16, 1754, 9914, 8054, 16, 2815, 16, 374, 505, 3785, 12514, 31373, 7059, 334, 7391, 954, 8390, 282, 47504, 344, 11100, 37357, 282, 10264, 808, 18, 478, 4348, 22055, 1195, 2184, 910, 510, 1109, 4377, 271, 18, 9857, 11977, 2357, 895, 7869, 294, 6409, 36962, 5842, 14364, 9630, 18, 478, 19479, 10041, 16, 19415, 4760, 28120, 289, 9206, 282, 5329, 11534, 6368, 8147, 18, 18884, 70, 4241, 282, 27914, 2753, 4912, 7832, 294, 9044, 478, 3008, 8457, 3975, 910, 969, 815, 28887, 510, 481, 478, 39703, 3975, 910, 282, 2145, 8054, 14449, 47643, 2771, 4118, 910, 510, 12016, 6729, 26391, 3740, 411, 478, 1182, 884, 429, 861, 5043, 16, 30667, 18974, 289, 30918, 18884, 70, 4241, 25926, 17, 7745, 20392, 45519, 1832, 1458, 3957, 8969, 6457, 1195, 2200, 4272, 5375, 18, 20346, 45519, 1832, 1458, 16, 26952, 1715, 5953, 9, 11400, 9630, 281, 12233, 8113, 289, 4039, 9, 749, 1335, 9326, 16, 6455, 13135, 3299, 6247, 8379, 10195, 334, 4843, 25, 16, 25, 349, 10168, 26314, 18, 11492, 11446, 28215, 975, 282, 4843, 2692, 25, 3763, 18, 478, 1140, 45519, 1832, 7671, 912, 475, 16171, 13135, 3299, 8379, 18884, 70, 4241, 22047, 6799, 27847, 281, 7043, 18, 385, 9752, 924, 16, 374, 492, 3957, 26017, 488, 1519, 1992, 29186, 451, 19938, 16, 492, 6455, 7003, 668, 21901, 510, 282, 4317, 5999, 640, 803, 8011, 7072, 11400, 349, 4101, 1421, 2299, 424, 14846, 309, 8653, 7418, 519, 4843, 25, 16, 11498, 349, 19830, 910, 510, 10050, 41330, 49012, 22029, 346, 10015, 478, 4580, 1246, 343, 2800, 470, 19287, 28873, 523, 18, 824, 3163, 14971, 16, 45519, 1832, 1458, 3957, 4144, 3299, 8296, 16, 753, 3604, 7970, 6457, 1195, 18884, 70, 4241, 289, 21977, 505, 43958, 424, 7957, 8972, 354, 16, 374, 7260, 16, 453, 428, 1069, 22805, 322, 939, 23791, 30855, 3416, 9630, 18, 1178, 768, 11172, 1458, 4144, 1748, 475, 8296, 16, 502, 322, 840, 5941, 282, 34042, 349, 4388, 1134, 16, 942, 840, 1033, 15571, 12779, 8054, 304, 18, 2949, 924, 16, 4144, 24691, 8296, 16, 45519, 1832, 1458, 5304, 5848, 302, 538, 38471, 289, 7631, 281, 42469, 510, 481, 8350, 975, 26417, 309, 1783, 2662, 16, 14381, 541, 26209, 36245, 11400, 309, 21767, 18, 967, 2567, 15340, 8970, 6029, 541, 969, 815, 28887, 510, 11567, 45519, 1832, 1458, 272, 13739, 1992, 1210, 7216, 11446, 281, 6336, 355, 294, 505, 575, 22061, 49924, 16296, 3328, 41754, 2381, 16, 5788, 82, 14697, 18, 12660, 7059, 45519, 1832, 7671, 29732, 41754, 2381, 1033, 21279, 18, 7743, 282, 970, 16, 374, 935, 567, 808, 16488, 1672, 351, 9589, 309, 26476, 870, 8379, 693, 925, 16837, 4843, 24, 16, 27, 16, 367, 294, 2090, 1427, 745, 23964, 519, 32023, 4843, 23, 16, 27, 18, 9639, 41977, 9351, 14380, 2702, 821, 5881, 416, 15861, 21285, 282, 18884, 70, 4241, 22047, 6799, 27847, 16, 5273, 28873, 523, 18, 1012, 344, 2147, 2241, 594, 297, 307, 2712, 726, 1421, 779, 18, 365, 5653, 1045, 678, 14231, 4843, 23, 5041, 3763, 16, 282, 5049, 17, 277, 510, 4843, 6894, 22, 3763, 16, 367, 282, 5021, 17, 277, 510, 4843, 22, 5041, 16, 24, 3763, 18, 967, 803, 4101, 1272, 779, 3785, 13155, 1825, 324, 30, 282, 5049, 1045, 678, 15018, 332, 48770, 309, 4843, 46504, 3763, 16, 367, 282, 5021, 473, 267, 2885, 659, 1939, 9, 6814, 13, 510, 4843, 12086, 16, 23, 3763, 18, 16375, 675, 9630, 18884, 70, 4241, 3585, 40485, 282, 4101, 3142, 411 ]
[ 17, 431, 7019, 26938, 23519, 30, 349, 2849, 281, 8455, 17, 361, 334, 5049, 1205, 16732, 8054, 9724, 13671, 4500, 18, 16864, 18, 2949, 924, 16, 13122, 5009, 10732, 18680, 9630, 360, 13185, 411, 17, 431, 24562, 8511, 434, 7043, 2145, 18, 365, 5572, 27068, 1290, 10929, 18884, 70, 4241, 23205, 519, 491, 16, 25, 3763, 30172, 16, 502, 912, 1715, 309, 1658, 16, 25, 5999, 3397, 28747, 11726, 3785, 10047, 360, 6271, 16, 1221, 3920, 282, 30668, 1360, 6340, 20819, 451, 22529, 17854, 18884, 70, 4241, 384, 22935, 343, 18, 8276, 492, 48994, 329, 13257, 9233, 16, 21089, 26191, 289, 23904, 18, 36757, 1505, 16174, 5021, 779, 19034, 1882, 4760, 26034, 10485, 16, 1830, 282, 5329, 5510, 5702, 2702, 30343, 16, 10050, 26391, 3740, 18, 439, 282, 11366, 4018, 779, 18884, 70, 4241, 1943, 14687, 3963, 334, 2399, 1147, 30347, 510, 4843, 37992, 3763, 30, 726, 1314, 10958, 26136, 16, 374, 329, 1047, 1967, 4135, 1003, 16, 289, 2650, 16, 3848, 1223, 16, 840, 27652, 19945, 870, 2764, 424, 1033, 9250, 13064, 18, 2, 1, 87, 1456, 81, 2448, 30, 6462, 17, 16981, 14999, 2016, 40830, 34755, 10261, 1241, 4351, 401, 16, 1586, 4419, 21725, 8531, 289, 3954, 2210, 1634, 2533, 411, 17, 431, 33923, 6365, 16, 39831, 9353, 416, 18, 6158, 43209, 722, 294, 667, 17912, 282, 15978, 7203, 10342, 281, 38599, 11176, 979, 8124, 16291, 891, 309, 11888, 779, 18, 21886, 16, 374, 3708, 1423, 16789, 453, 289, 322, 36413, 510, 678, 6877, 798, 16, 374, 2533, 13398, 478, 3123, 1348, 448, 40043, 1254, 910, 308, 400, 2508, 349, 27281, 722, 9798, 7227, 18, 967, 803, 20262, 29816, 272, 282, 1119, 8150, 6418, 282, 12277, 4458, 2545, 10772, 541, 3938, 17159, 18, 31224, 30, 11459, 452, 2947, 778, 17122, 1551, 10954, 10566, 282, 4599, 32296, 1241, 4351, 1161, 16, 12865, 1039, 1668, 9314, 477, 3319, 9154, 18, 1367, 803, 6442, 282, 4802, 7292, 40745, 2407, 334, 33463, 1767, 18, 478, 563, 23091, 448, 15463, 37048, 18900, 10361, 758, 541, 10954, 427, 31862, 4055, 17, 17827, 12730, 282, 16765, 1634, 27508, 1608, 2533, 473, 293, 18, 478, 264, 16, 282, 470, 327, 18, 491, 422, 18, 27839, 11828, 2407, 814, 967, 3528, 304, 5129, 26900, 8809, 43569, 13742, 282, 2100, 667, 986, 17703, 8124, 281, 7304, 31860, 282, 15978, 7203, 10342, 225, 910, 510, 16170, 282, 27246, 18, 9873, 10076, 2533, 16, 26805, 3536, 272, 1038, 25262, 9353, 416, 282, 901, 452, 11244, 329, 13873, 16, 282, 8303, 1639, 678, 6312, 12321, 6711, 808, 18, 824, 3761, 14160, 16, 10901, 3626, 12864, 1154, 1293, 21405, 15100, 38528, 309, 16737, 7512, 2364, 24100, 4500, 18, 2791, 18, 14078, 1241, 4351, 401, 16789, 282, 16765, 2533, 453, 289, 322, 36413, 18, 365, 3177, 16876, 19395, 678, 3424, 17859, 294, 18629, 7768, 281, 14503, 3089, 24431, 33724, 722, 2533, 18, 478, 37629, 1805, 2756, 12621, 1734, 16, 417, 14357, 32150, 2706, 4238, 1974, 281, 19358, 16343, 353, 910, 510, 9321, 678, 567, 808, 11815, 282, 12564, 18, 640, 347, 3493, 309, 37677, 322, 3225, 30, 16480, 4119, 1500, 5809, 16, 374, 1241, 4351, 401, 11451, 703, 332, 1617, 17187, 18, 996, 16, 567, 808, 4183, 33691, 678, 3118, 36413, 16789, 16, 515, 5747, 6554, 7945, 18629, 7768, 5901, 290, 970, 16, 428, 14896, 722, 2533, 13473, 34384, 36952, 478, 24145, 3841, 1924, 40043, 1254, 861, 824, 722, 3163, 16, 2733, 2175, 745, 5658, 24228, 2888, 349, 27281, 722, 9798, 7227, 16, 1029, 309, 5734, 2083, 3164, 282, 10256, 2557, 18, 2046, 1551, 13749, 722, 16154, 309, 13211, 416, 289, 13742, 322, 16409, 3389, 18, 478, 672, 15701, 542, 1241, 4351, 1161, 290, 4336, 763, 1354, 722, 2533, 5512, 34384, 363, 2855, 8641, 411, 28902, 670, 349, 20858, 1551, 5273, 44218, 758, 289, 322, 2574, 12764, 330, 281, 1474, 13698, 15463, 353, 18, 6158, 30889, 1211, 17187, 1241, 4351, 1161, 428, 309, 44188, 37146, 668, 16154, 910, 510, 2815, 16044, 6096, 999, 8470, 20173, 18, 2949, 924, 16, 282, 1119, 8150, 722, 6418, 282, 12277, 16, 282, 2114, 678, 5182, 455, 10772, 541, 3938, 17159, 18, 3863, 5809, 24344, 289, 10680, 281, 15037, 39018, 16, 6489, 5103, 309, 3614, 11925, 18, 7106, 16, 374, 4055, 17, 16981, 10261, 1241, 4351, 401, 39192, 2159, 17201, 2706, 4238, 11826, 779, 18, 824, 3761, 14160, 16, 282, 1500, 1119, 678, 35813, 332, 1634, 2533, 510, 1949, 289, 6566, 986, 510, 309, 5778, 2169, 4068, 8436, 282, 3157, 1724, 397, 272, 16, 2983, 4934, 282, 22118, 1212, 3948, 33463, 1767, 18, 3026, 678, 28562, 315, 35056, 1423, 6566, 34600, 6304, 289, 1949, 11884, 5794, 16, 1011, 1660, 14140, 697, 40992, 18, 2046, 23625, 9725, 4367, 519, 3915, 1450, 322, 3225, 510, 36797, 497, 2167, 3306, 37854, 16, 2972, 19417, 5289, 18, 16739, 743, 5627, 6221, 16, 1241, 4351, 401, 17094, 3992, 1634, 2533, 282, 18332, 5127, 9957, 289, 18552, 282, 30612, 11717, 18, 478, 2176, 5421, 1119, 16, 4016, 4238, 11826, 779, 16, 309, 3217, 575, 5127, 10759, 678, 35813, 332, 12343, 42848, 289, 5794, 282, 22118, 778, 4972, 33463, 1767, 16, 988, 282, 23952, 547, 1718, 763, 2364, 10632, 2327, 9338, 12011, 2210, 3992, 289, 38137, 281, 2223, 13631, 910, 510, 6442, 282, 47158, 11925, 18, 1367, 46275, 649, 3992, 2533, 3225, 4426, 22567, 21084, 16, 961, 11614, 5627, 289, 18474, 44856, 18, 41242, 2508, 5747, 309, 1756, 14697, 17, 24145, 41160, 1262, 18700, 16, 374, 4272, 9100, 764, 519, 15616, 510, 697, 21725, 6563, 18, 999, 6424, 4411, 17, 10709, 1159, 29550, 1876, 3225, 282, 1500, 575, 2894, 16, 309, 5572, 575, 2797, 12862, 678, 1056, 268, 977, 282, 3177, 47246, 18, 3529, 3708, 9321, 16, 374, 8538, 309, 11910, 2533, 722, 22100, 7814, 4135, 16, 360, 2024, 678, 8641, 799, 5279, 1011, 42762, 281, 13847, 18, 2046, 25111, 23500, 32296, 309, 7814, 4135, 322, 7737, 537, 4431, 16, 537, 18078, 548, 282, 8347, 13636, 16, 282, 1639, 678, 11179, 3043, 10838, 8234, 18, 824, 3761, 4600, 1739, 21950, 478, 47693, 680, 20285, 910, 19546, 1810, 1241, 4351, 401, 322, 9219, 16, 2686, 309, 3441, 687, 17123, 8974, 1783, 4318, 2364, 4317, 4500, 18, 2791, 42087, 18, 9873, 978, 16, 678, 8522, 43165, 349, 1360, 43705, 289, 11179, 4774, 10838, 27112, 11030, 13405, 16, 367, 1038, 8103, 4604, 1909, 6197, 46549, 4211, 334, 49613, 29891, 289, 28424, 8393, 18, 478, 4592, 6949 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 431, 7019, 26938, 23519, 30, 349, 2849, 281, 8455, 17, 361, 334, 5049, 1205, 16732, 8054, 9724, 13671, 4500, 18, 16864, 18, 2949, 924, 16, 13122, 5009, 10732, 18680, 9630, 360, 13185, 411, 17, 431, 24562, 8511, 434, 7043, 2145, 18, 365, 5572, 27068, 1290, 10929, 18884, 70, 4241, 23205, 519, 491, 16, 25, 3763, 30172, 16, 502, 912, 1715, 309, 1658, 16, 25, 5999, 3397, 28747, 11726, 3785, 10047, 360, 6271, 16, 1221, 3920, 282, 30668, 1360, 6340, 20819, 451, 22529, 17854, 18884, 70, 4241, 384, 22935, 343, 18, 8276, 492, 48994, 329, 13257, 9233, 16, 21089, 26191, 289, 23904, 18, 36757, 1505, 16174, 5021, 779, 19034, 1882, 4760, 26034, 10485, 16, 1830, 282, 5329, 5510, 5702, 2702, 30343, 16, 10050, 26391, 3740, 18, 439, 282, 11366, 4018, 779, 18884, 70, 4241, 1943, 14687, 3963, 334, 2399, 1147, 30347, 510, 4843, 37992, 3763, 30, 726, 1314, 10958, 26136, 16, 374, 329, 1047, 1967, 4135, 1003, 16, 289, 2650, 16, 3848, 1223, 16, 840, 27652, 19945, 870, 2764, 424, 1033, 9250, 13064, 18, 2, 1, 87, 1456, 81, 2448, 30, 6462, 17, 16981, 14999, 2016, 40830, 34755, 10261, 1241, 4351, 401, 16, 1586, 4419, 21725, 8531, 289, 3954, 2210, 1634, 2533, 411, 17, 431, 33923, 6365, 16, 39831, 9353, 416, 18, 6158, 43209, 722, 294, 667, 17912, 282, 15978, 7203, 10342, 281, 38599, 11176, 979, 8124, 16291, 891, 309, 11888, 779, 18, 21886, 16, 374, 3708, 1423, 16789, 453, 289, 322, 36413, 510, 678, 6877, 798, 16, 374, 2533, 13398, 478, 3123, 1348, 448, 40043, 1254, 910, 308, 400, 2508, 349, 27281, 722, 9798, 7227, 18, 967, 803, 20262, 29816, 272, 282, 1119, 8150, 6418, 282, 12277, 4458, 2545, 10772, 541, 3938, 17159, 18, 31224, 30, 11459, 452, 2947, 778, 17122, 1551, 10954, 10566, 282, 4599, 32296, 1241, 4351, 1161, 16, 12865, 1039, 1668, 9314, 477, 3319, 9154, 18, 1367, 803, 6442, 282, 4802, 7292, 40745, 2407, 334, 33463, 1767, 18, 478, 563, 23091, 448, 15463, 37048, 18900, 10361, 758, 541, 10954, 427, 31862, 4055, 17, 17827, 12730, 282, 16765, 1634, 27508, 1608, 2533, 473, 293, 18, 478, 264, 16, 282, 470, 327, 18, 491, 422, 18, 27839, 11828, 2407, 814, 967, 3528, 304, 5129, 26900, 8809, 43569, 13742, 282, 2100, 667, 986, 17703, 8124, 281, 7304, 31860, 282, 15978, 7203, 10342, 225, 910, 510, 16170, 282, 27246, 18, 9873, 10076, 2533, 16, 26805, 3536, 272, 1038, 25262, 9353, 416, 282, 901, 452, 11244, 329, 13873, 16, 282, 8303, 1639, 678, 6312, 12321, 6711, 808, 18, 824, 3761, 14160, 16, 10901, 3626, 12864, 1154, 1293, 21405, 15100, 38528, 309, 16737, 7512, 2364, 24100, 4500, 18, 2791, 18, 14078, 1241, 4351, 401, 16789, 282, 16765, 2533, 453, 289, 322, 36413, 18, 365, 3177, 16876, 19395, 678, 3424, 17859, 294, 18629, 7768, 281, 14503, 3089, 24431, 33724, 722, 2533, 18, 478, 37629, 1805, 2756, 12621, 1734, 16, 417, 14357, 32150, 2706, 4238, 1974, 281, 19358, 16343, 353, 910, 510, 9321, 678, 567, 808, 11815, 282, 12564, 18, 640, 347, 3493, 309, 37677, 322, 3225, 30, 16480, 4119, 1500, 5809, 16, 374, 1241, 4351, 401, 11451, 703, 332, 1617, 17187, 18, 996, 16, 567, 808, 4183, 33691, 678, 3118, 36413, 16789, 16, 515, 5747, 6554, 7945, 18629, 7768, 5901, 290, 970, 16, 428, 14896, 722, 2533, 13473, 34384, 36952, 478, 24145, 3841, 1924, 40043, 1254, 861, 824, 722, 3163, 16, 2733, 2175, 745, 5658, 24228, 2888, 349, 27281, 722, 9798, 7227, 16, 1029, 309, 5734, 2083, 3164, 282, 10256, 2557, 18, 2046, 1551, 13749, 722, 16154, 309, 13211, 416, 289, 13742, 322, 16409, 3389, 18, 478, 672, 15701, 542, 1241, 4351, 1161, 290, 4336, 763, 1354, 722, 2533, 5512, 34384, 363, 2855, 8641, 411, 28902, 670, 349, 20858, 1551, 5273, 44218, 758, 289, 322, 2574, 12764, 330, 281, 1474, 13698, 15463, 353, 18, 6158, 30889, 1211, 17187, 1241, 4351, 1161, 428, 309, 44188, 37146, 668, 16154, 910, 510, 2815, 16044, 6096, 999, 8470, 20173, 18, 2949, 924, 16, 282, 1119, 8150, 722, 6418, 282, 12277, 16, 282, 2114, 678, 5182, 455, 10772, 541, 3938, 17159, 18, 3863, 5809, 24344, 289, 10680, 281, 15037, 39018, 16, 6489, 5103, 309, 3614, 11925, 18, 7106, 16, 374, 4055, 17, 16981, 10261, 1241, 4351, 401, 39192, 2159, 17201, 2706, 4238, 11826, 779, 18, 824, 3761, 14160, 16, 282, 1500, 1119, 678, 35813, 332, 1634, 2533, 510, 1949, 289, 6566, 986, 510, 309, 5778, 2169, 4068, 8436, 282, 3157, 1724, 397, 272, 16, 2983, 4934, 282, 22118, 1212, 3948, 33463, 1767, 18, 3026, 678, 28562, 315, 35056, 1423, 6566, 34600, 6304, 289, 1949, 11884, 5794, 16, 1011, 1660, 14140, 697, 40992, 18, 2046, 23625, 9725, 4367, 519, 3915, 1450, 322, 3225, 510, 36797, 497, 2167, 3306, 37854, 16, 2972, 19417, 5289, 18, 16739, 743, 5627, 6221, 16, 1241, 4351, 401, 17094, 3992, 1634, 2533, 282, 18332, 5127, 9957, 289, 18552, 282, 30612, 11717, 18, 478, 2176, 5421, 1119, 16, 4016, 4238, 11826, 779, 16, 309, 3217, 575, 5127, 10759, 678, 35813, 332, 12343, 42848, 289, 5794, 282, 22118, 778, 4972, 33463, 1767, 16, 988, 282, 23952, 547, 1718, 763, 2364, 10632, 2327, 9338, 12011, 2210, 3992, 289, 38137, 281, 2223, 13631, 910, 510, 6442, 282, 47158, 11925, 18, 1367, 46275, 649, 3992, 2533, 3225, 4426, 22567, 21084, 16, 961, 11614, 5627, 289, 18474, 44856, 18, 41242, 2508, 5747, 309, 1756, 14697, 17, 24145, 41160, 1262, 18700, 16, 374, 4272, 9100, 764, 519, 15616, 510, 697, 21725, 6563, 18, 999, 6424, 4411, 17, 10709, 1159, 29550, 1876, 3225, 282, 1500, 575, 2894, 16, 309, 5572, 575, 2797, 12862, 678, 1056, 268, 977, 282, 3177, 47246, 18, 3529, 3708, 9321, 16, 374, 8538, 309, 11910, 2533, 722, 22100, 7814, 4135, 16, 360, 2024, 678, 8641, 799, 5279, 1011, 42762, 281, 13847, 18, 2046, 25111, 23500, 32296, 309, 7814, 4135, 322, 7737, 537, 4431, 16, 537, 18078, 548, 282, 8347, 13636, 16, 282, 1639, 678, 11179, 3043, 10838, 8234, 18, 824, 3761, 4600, 1739, 21950, 478, 47693, 680, 20285, 910, 19546, 1810, 1241, 4351, 401, 322, 9219, 16, 2686, 309, 3441, 687, 17123, 8974, 1783, 4318, 2364, 4317, 4500, 18, 2791, 42087, 18, 9873, 978, 16, 678, 8522, 43165, 349, 1360, 43705, 289, 11179, 4774, 10838, 27112, 11030, 13405, 16, 367, 1038, 8103, 4604, 1909, 6197, 46549, 4211, 334, 49613, 29891, 289, 28424, 8393, 18, 478, 4592, 6949 ]
[ 16, 374, 5548, 8838, 3391, 4576, 289, 726, 11888, 779, 7118, 749, 7227, 18, 7362, 5676, 492, 322, 821, 2022, 16, 515, 309, 3860, 281, 2940, 4887, 2002, 322, 17294, 977, 18, 1253, 1696, 13000, 289, 4011, 10660, 2400, 4583, 289, 965, 16, 289, 2533, 18, 415, 16343, 292, 678, 1494, 6949, 281, 12600, 910, 510, 10703, 33293, 33279, 1241, 4351, 1161, 18, 415, 1360, 5032, 294, 9563, 3708, 3857, 19539, 289, 282, 3177, 18078, 464, 282, 584, 419, 844, 482, 18, 5403, 3675, 20687, 281, 519, 6123, 678, 3043, 6915, 7150, 349, 1871, 5576, 519, 10076, 18, 478, 4592, 3476, 8403, 16, 3560, 8738, 2218, 1181, 3209, 16, 6917, 23344, 35714, 519, 854, 343, 18, 3881, 16, 2332, 1754, 417, 1494, 309, 12115, 16, 1543, 16, 2332, 1754, 417, 16173, 18, 1253, 3476, 27811, 16, 3433, 575, 6377, 549, 16, 428, 417, 18, 8213, 3545, 16, 3476, 6917, 10472, 2232, 16, 6917, 40786, 8109, 910, 510, 19539, 1241, 4351, 401, 18, 2, 1, 87, 1456, 81, 2448, 30, 27059, 46984, 7920, 6897, 4551, 334, 25152, 289, 3623, 44760, 19712, 800, 2882, 2815, 16, 374, 20203, 8337, 416, 6118, 9810, 5269, 478, 404, 519, 3915, 10219, 8534, 470, 35264, 13784, 309, 8773, 778, 11542, 18, 824, 3163, 19712, 800, 7876, 16, 334, 4862, 16381, 2500, 478, 267, 1000, 267, 4060, 973, 282, 10742, 2165, 910, 367, 21446, 30436, 1749, 13173, 16, 374, 5335, 334, 8773, 2818, 24215, 2544, 41020, 659, 286, 289, 6993, 35369, 18, 31224, 30, 42652, 478, 404, 1965, 22842, 9305, 470, 14769, 11809, 282, 31330, 3929, 16, 334, 4734, 4183, 2076, 8108, 347, 7920, 6897, 4551, 334, 25152, 289, 3623, 2850, 613, 19712, 800, 7876, 1624, 478, 997, 1703, 846, 4991, 304, 861, 478, 563, 1000, 267, 4060, 973, 16, 961, 16713, 282, 10742, 2165, 309, 2923, 2665, 16, 322, 453, 1269, 18, 439, 374, 5327, 33833, 1512, 16, 502, 745, 13173, 16, 374, 481, 2544, 41020, 6011, 289, 6993, 12298, 18, 985, 687, 13099, 341, 4136, 17, 299, 30349, 670, 6413, 281, 20358, 17877, 5335, 334, 8773, 2818, 24215, 510, 656, 9734, 9902, 322, 3984, 16, 1548, 374, 481, 334, 25748, 6135, 309, 6633, 6159, 4314, 41799, 289, 20889, 541, 1354, 2954, 1175, 910, 510, 2815, 19712, 800, 2882, 18, 996, 35675, 2715, 309, 1694, 8337, 434, 14769, 11809, 289, 11350, 17, 6845, 2188, 1731, 9539, 4900, 39876, 2665, 18083, 9810, 5269, 1624, 5143, 2822, 16, 374, 8773, 778, 11542, 1251, 10513, 14858, 289, 3026, 363, 957, 19478, 406, 541, 10687, 281, 7097, 18, 824, 3163, 19712, 800, 7876, 16, 6118, 9810, 5269, 478, 404, 519, 3915, 10219, 8534, 470, 25754, 13784, 309, 8773, 778, 11542, 18, 7937, 454, 8239, 309, 15258, 1212, 17691, 726, 9707, 22340, 329, 19712, 800, 7876, 16, 334, 505, 3163, 16, 478, 2729, 25234, 289, 42686, 468, 861, 365, 48619, 1038, 13202, 4110, 15582, 8337, 434, 14769, 11809, 18, 32529, 11050, 11151, 718, 7920, 334, 25152, 289, 3623, 9543, 1034, 560, 266, 2931, 22080, 33492, 19336, 2354, 2998, 322, 8773, 1703, 49824, 16, 367, 20676, 1143, 13220, 309, 26893, 5510, 309, 4862, 18, 478, 2176, 3927, 16, 2994, 348, 1155, 927, 2904, 65, 309, 13375, 281, 15302, 3125, 414, 5364, 16, 961, 12733, 467, 3623, 8698, 2095, 4186, 2665, 18, 8019, 16, 282, 803, 6942, 1513, 8714, 18, 439, 322, 387, 324, 31350, 2710, 17, 299, 14377, 448, 9118, 334, 8823, 294, 1851, 17, 3697, 4008, 16, 282, 4810, 294, 11613, 23281, 910, 510, 2815, 1034, 560, 266, 2931, 40568, 18, 37188, 1038, 4725, 16, 374, 10744, 2900, 9766, 478, 404, 901, 3231, 282, 6104, 12130, 2900, 25812, 9322, 11413, 225, 910, 289, 5692, 16, 374, 3771, 30006, 5022, 9640, 289, 13409, 541, 6198, 6714, 1728, 11407, 18, 478, 677, 1750, 16349, 1851, 17, 3697, 14075, 47453, 22842, 6945, 1078, 910, 651, 9299, 11919, 1502, 18, 365, 14613, 42524, 14769, 9322, 34361, 396, 11542, 15684, 478, 296, 402, 2509, 289, 13312, 536, 861, 1367, 803, 478, 4433, 14415, 26942, 4848, 11309, 2450, 15748, 11007, 4137, 403, 1018, 18611, 18, 478, 563, 2733, 575, 15174, 942, 639, 7818, 3591, 16987, 12035, 289, 2023, 16, 374, 492, 19478, 406, 910, 510, 2815, 11309, 18, 403, 1018, 18611, 1038, 2815, 16, 374, 15444, 622, 282, 11079, 1251, 9609, 289, 23245, 478, 404, 939, 29740, 910, 515, 282, 502, 575, 808, 478, 431, 41949, 8831, 42356, 39147, 289, 18255, 288, 1788, 1379, 23740, 451, 18014, 861, 478, 983, 647, 1546, 622, 16521, 1333, 16, 32557, 1587, 8773, 16, 24609, 16, 374, 571, 441, 17009, 322, 424, 299, 759, 910, 510, 2815, 15258, 778, 11919, 1502, 18, 17811, 575, 9810, 5269, 396, 17285, 309, 8773, 778, 11542, 510, 1933, 342, 347, 16, 3857, 5138, 9930, 360, 14512, 16, 3893, 403, 1018, 18611, 30, 478, 18771, 322, 2619, 16, 935, 1122, 13173, 16, 374, 9099, 3193, 567, 1514, 2968, 1747, 20680, 4608, 465, 548, 428, 10984, 25182, 282, 4599, 36480, 4000, 861, 824, 505, 3163, 16, 537, 282, 3441, 9814, 34004, 3285, 2127, 2398, 322, 10232, 7865, 17877, 12681, 5335, 334, 8773, 2818, 24215, 670, 17848, 10656, 37712, 3522, 552, 16, 1548, 374, 478, 1786, 840, 2733, 16, 374, 2950, 322, 29732, 861, 2555, 3972, 11350, 17, 6845, 27684, 9539, 6700, 39876, 31839, 289, 12681, 12189, 6118, 17, 33074, 35409, 7550, 9810, 5269, 2815, 33293, 478, 16969, 402, 910, 374, 10513, 928, 778, 11542, 16, 1029, 1125, 3748, 8773, 281, 1436, 6589, 6906, 1175, 16, 19478, 406, 294, 15440, 289, 1561, 2381, 8187, 18, 478, 780, 4476, 6048, 1807, 8485, 4846, 25465, 306, 16, 1586, 895, 30165, 34942, 15258, 2127, 9251, 10145, 6763, 16, 367, 1038, 24800, 3701, 825, 23255, 11007, 18, 3747, 281, 8312, 4947, 4611, 16, 492, 1623, 2702, 19478, 12418, 541, 15440, 16, 8187, 16, 18437, 434, 289, 23899, 18264, 2682, 910, 510, 4725, 9810, 5269, 18, 1409, 4120, 309, 11073, 33913, 19267, 7996, 4900, 39876, 6118, 4257, 16095, 33073, 291, 4848, 290, 5271, 5781, 31883, 1333, 282, 14613, 18, 640, 34162, 15622, 478, 7223, 314, 16978, 26687, 33478, 6114, 910, 282, 2588, 9311, 6798, 17, 5350, 1162, 14396, 16, 13397, 778, 11075, 289, 1871, 11072, 510, 5447, 9383, 289, 28600, 18, 3791, 7625, 3162, 3619, 35481, 778, 10950, 1175, 30, 282, 505, 2452, 9311, 5270, 31172, 30074, 16, 1421, 40657, 7827, 1385, 48940, 25275, 478, 29156, 470, 289, 478, 12003, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5548, 8838, 3391, 4576, 289, 726, 11888, 779, 7118, 749, 7227, 18, 7362, 5676, 492, 322, 821, 2022, 16, 515, 309, 3860, 281, 2940, 4887, 2002, 322, 17294, 977, 18, 1253, 1696, 13000, 289, 4011, 10660, 2400, 4583, 289, 965, 16, 289, 2533, 18, 415, 16343, 292, 678, 1494, 6949, 281, 12600, 910, 510, 10703, 33293, 33279, 1241, 4351, 1161, 18, 415, 1360, 5032, 294, 9563, 3708, 3857, 19539, 289, 282, 3177, 18078, 464, 282, 584, 419, 844, 482, 18, 5403, 3675, 20687, 281, 519, 6123, 678, 3043, 6915, 7150, 349, 1871, 5576, 519, 10076, 18, 478, 4592, 3476, 8403, 16, 3560, 8738, 2218, 1181, 3209, 16, 6917, 23344, 35714, 519, 854, 343, 18, 3881, 16, 2332, 1754, 417, 1494, 309, 12115, 16, 1543, 16, 2332, 1754, 417, 16173, 18, 1253, 3476, 27811, 16, 3433, 575, 6377, 549, 16, 428, 417, 18, 8213, 3545, 16, 3476, 6917, 10472, 2232, 16, 6917, 40786, 8109, 910, 510, 19539, 1241, 4351, 401, 18, 2, 1, 87, 1456, 81, 2448, 30, 27059, 46984, 7920, 6897, 4551, 334, 25152, 289, 3623, 44760, 19712, 800, 2882, 2815, 16, 374, 20203, 8337, 416, 6118, 9810, 5269, 478, 404, 519, 3915, 10219, 8534, 470, 35264, 13784, 309, 8773, 778, 11542, 18, 824, 3163, 19712, 800, 7876, 16, 334, 4862, 16381, 2500, 478, 267, 1000, 267, 4060, 973, 282, 10742, 2165, 910, 367, 21446, 30436, 1749, 13173, 16, 374, 5335, 334, 8773, 2818, 24215, 2544, 41020, 659, 286, 289, 6993, 35369, 18, 31224, 30, 42652, 478, 404, 1965, 22842, 9305, 470, 14769, 11809, 282, 31330, 3929, 16, 334, 4734, 4183, 2076, 8108, 347, 7920, 6897, 4551, 334, 25152, 289, 3623, 2850, 613, 19712, 800, 7876, 1624, 478, 997, 1703, 846, 4991, 304, 861, 478, 563, 1000, 267, 4060, 973, 16, 961, 16713, 282, 10742, 2165, 309, 2923, 2665, 16, 322, 453, 1269, 18, 439, 374, 5327, 33833, 1512, 16, 502, 745, 13173, 16, 374, 481, 2544, 41020, 6011, 289, 6993, 12298, 18, 985, 687, 13099, 341, 4136, 17, 299, 30349, 670, 6413, 281, 20358, 17877, 5335, 334, 8773, 2818, 24215, 510, 656, 9734, 9902, 322, 3984, 16, 1548, 374, 481, 334, 25748, 6135, 309, 6633, 6159, 4314, 41799, 289, 20889, 541, 1354, 2954, 1175, 910, 510, 2815, 19712, 800, 2882, 18, 996, 35675, 2715, 309, 1694, 8337, 434, 14769, 11809, 289, 11350, 17, 6845, 2188, 1731, 9539, 4900, 39876, 2665, 18083, 9810, 5269, 1624, 5143, 2822, 16, 374, 8773, 778, 11542, 1251, 10513, 14858, 289, 3026, 363, 957, 19478, 406, 541, 10687, 281, 7097, 18, 824, 3163, 19712, 800, 7876, 16, 6118, 9810, 5269, 478, 404, 519, 3915, 10219, 8534, 470, 25754, 13784, 309, 8773, 778, 11542, 18, 7937, 454, 8239, 309, 15258, 1212, 17691, 726, 9707, 22340, 329, 19712, 800, 7876, 16, 334, 505, 3163, 16, 478, 2729, 25234, 289, 42686, 468, 861, 365, 48619, 1038, 13202, 4110, 15582, 8337, 434, 14769, 11809, 18, 32529, 11050, 11151, 718, 7920, 334, 25152, 289, 3623, 9543, 1034, 560, 266, 2931, 22080, 33492, 19336, 2354, 2998, 322, 8773, 1703, 49824, 16, 367, 20676, 1143, 13220, 309, 26893, 5510, 309, 4862, 18, 478, 2176, 3927, 16, 2994, 348, 1155, 927, 2904, 65, 309, 13375, 281, 15302, 3125, 414, 5364, 16, 961, 12733, 467, 3623, 8698, 2095, 4186, 2665, 18, 8019, 16, 282, 803, 6942, 1513, 8714, 18, 439, 322, 387, 324, 31350, 2710, 17, 299, 14377, 448, 9118, 334, 8823, 294, 1851, 17, 3697, 4008, 16, 282, 4810, 294, 11613, 23281, 910, 510, 2815, 1034, 560, 266, 2931, 40568, 18, 37188, 1038, 4725, 16, 374, 10744, 2900, 9766, 478, 404, 901, 3231, 282, 6104, 12130, 2900, 25812, 9322, 11413, 225, 910, 289, 5692, 16, 374, 3771, 30006, 5022, 9640, 289, 13409, 541, 6198, 6714, 1728, 11407, 18, 478, 677, 1750, 16349, 1851, 17, 3697, 14075, 47453, 22842, 6945, 1078, 910, 651, 9299, 11919, 1502, 18, 365, 14613, 42524, 14769, 9322, 34361, 396, 11542, 15684, 478, 296, 402, 2509, 289, 13312, 536, 861, 1367, 803, 478, 4433, 14415, 26942, 4848, 11309, 2450, 15748, 11007, 4137, 403, 1018, 18611, 18, 478, 563, 2733, 575, 15174, 942, 639, 7818, 3591, 16987, 12035, 289, 2023, 16, 374, 492, 19478, 406, 910, 510, 2815, 11309, 18, 403, 1018, 18611, 1038, 2815, 16, 374, 15444, 622, 282, 11079, 1251, 9609, 289, 23245, 478, 404, 939, 29740, 910, 515, 282, 502, 575, 808, 478, 431, 41949, 8831, 42356, 39147, 289, 18255, 288, 1788, 1379, 23740, 451, 18014, 861, 478, 983, 647, 1546, 622, 16521, 1333, 16, 32557, 1587, 8773, 16, 24609, 16, 374, 571, 441, 17009, 322, 424, 299, 759, 910, 510, 2815, 15258, 778, 11919, 1502, 18, 17811, 575, 9810, 5269, 396, 17285, 309, 8773, 778, 11542, 510, 1933, 342, 347, 16, 3857, 5138, 9930, 360, 14512, 16, 3893, 403, 1018, 18611, 30, 478, 18771, 322, 2619, 16, 935, 1122, 13173, 16, 374, 9099, 3193, 567, 1514, 2968, 1747, 20680, 4608, 465, 548, 428, 10984, 25182, 282, 4599, 36480, 4000, 861, 824, 505, 3163, 16, 537, 282, 3441, 9814, 34004, 3285, 2127, 2398, 322, 10232, 7865, 17877, 12681, 5335, 334, 8773, 2818, 24215, 670, 17848, 10656, 37712, 3522, 552, 16, 1548, 374, 478, 1786, 840, 2733, 16, 374, 2950, 322, 29732, 861, 2555, 3972, 11350, 17, 6845, 27684, 9539, 6700, 39876, 31839, 289, 12681, 12189, 6118, 17, 33074, 35409, 7550, 9810, 5269, 2815, 33293, 478, 16969, 402, 910, 374, 10513, 928, 778, 11542, 16, 1029, 1125, 3748, 8773, 281, 1436, 6589, 6906, 1175, 16, 19478, 406, 294, 15440, 289, 1561, 2381, 8187, 18, 478, 780, 4476, 6048, 1807, 8485, 4846, 25465, 306, 16, 1586, 895, 30165, 34942, 15258, 2127, 9251, 10145, 6763, 16, 367, 1038, 24800, 3701, 825, 23255, 11007, 18, 3747, 281, 8312, 4947, 4611, 16, 492, 1623, 2702, 19478, 12418, 541, 15440, 16, 8187, 16, 18437, 434, 289, 23899, 18264, 2682, 910, 510, 4725, 9810, 5269, 18, 1409, 4120, 309, 11073, 33913, 19267, 7996, 4900, 39876, 6118, 4257, 16095, 33073, 291, 4848, 290, 5271, 5781, 31883, 1333, 282, 14613, 18, 640, 34162, 15622, 478, 7223, 314, 16978, 26687, 33478, 6114, 910, 282, 2588, 9311, 6798, 17, 5350, 1162, 14396, 16, 13397, 778, 11075, 289, 1871, 11072, 510, 5447, 9383, 289, 28600, 18, 3791, 7625, 3162, 3619, 35481, 778, 10950, 1175, 30, 282, 505, 2452, 9311, 5270, 31172, 30074, 16, 1421, 40657, 7827, 1385, 48940, 25275, 478, 29156, 470, 289, 478, 12003, 400 ]
[ 356, 861, 403, 2222, 575, 294, 688, 1182, 2407, 1441, 371, 1982, 318, 35728, 548, 478, 47518, 625, 41748, 470, 289, 478, 47518, 15020, 10754, 910, 27692, 17106, 6205, 8137, 9832, 23899, 18264, 2682, 478, 684, 414, 32796, 861, 365, 365, 9827, 289, 28600, 31789, 9322, 8747, 26656, 3405, 26, 9275, 15038, 289, 41562, 510, 428, 40704, 5856, 16, 453, 289, 3741, 16, 5692, 855, 5039, 39876, 22616, 2407, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1184, 549, 2145, 749, 1791, 38552, 8616, 18924, 477, 39135, 25055, 30, 12086, 18, 7249, 309, 19282, 3361, 1251, 7396, 17986, 16, 282, 28138, 5790, 7190, 12899, 3541, 282, 1176, 1609, 5780, 16, 374, 282, 7253, 4096, 11268, 322, 2397, 5522, 7713, 18, 31224, 30, 677, 9937, 309, 12013, 2422, 282, 11752, 12665, 10133, 1251, 5512, 939, 13337, 5925, 7739, 3317, 651, 3191, 758, 2145, 289, 18924, 18, 11566, 373, 16, 18276, 651, 4958, 2873, 2395, 282, 30681, 28915, 707, 16, 9579, 2508, 8290, 10515, 1880, 3400, 34939, 978, 4719, 5434, 6974, 7928, 18, 439, 1215, 374, 5327, 4966, 18924, 502, 16, 4213, 16, 2950, 1085, 411, 1817, 1385, 25467, 5304, 7818, 1830, 373, 2236, 19574, 411, 1847, 9536, 16, 3235, 17353, 346, 478, 780, 339, 791, 507, 470, 20334, 15078, 33072, 347, 488, 1624, 581, 374, 1122, 3111, 651, 3964, 322, 2552, 12987, 282, 1767, 28915, 1869, 895, 24597, 1558, 28595, 381, 1335, 7342, 18, 2046, 13337, 6321, 3515, 1344, 977, 4521, 4778, 47060, 651, 41702, 18, 985, 3665, 16, 3361, 1251, 2145, 289, 45914, 1745, 322, 25845, 13838, 13561, 9164, 18, 2052, 35513, 3806, 14210, 1133, 19167, 607, 411, 4910, 4830, 2059, 411, 14795, 12655, 933, 2044, 17487, 597, 347, 35954, 1428, 383, 626, 347, 39811, 3857, 18, 459, 3915, 773, 322, 4750, 18, 5043, 16, 282, 28138, 5790, 6548, 9680, 7342, 2145, 22004, 49722, 675, 14521, 1465, 2815, 16, 374, 11268, 1745, 406, 2175, 322, 2879, 48101, 5790, 18, 478, 4441, 27036, 20791, 16, 367, 322, 11268, 16, 651, 2815, 49722, 675, 14521, 1465, 3251, 1147, 38397, 14452, 18, 651, 1345, 2125, 32894, 18823, 18924, 18, 9993, 417, 583, 428, 17, 299, 445, 11347, 1279, 4966, 411, 18924, 18, 889, 639, 282, 5953, 17, 263, 3142, 16, 785, 417, 12737, 282, 4257, 18, 23200, 417, 5641, 42624, 294, 1335, 4008, 18, 608, 1129, 912, 32293, 32752, 18, 8269, 16, 329, 813, 9040, 4719, 6839, 36441, 861, 365, 1917, 271, 975, 289, 18165, 14995, 45236, 20989, 35457, 3495, 748, 363, 268, 30, 478, 4441, 2197, 411, 6459, 9806, 7561, 2422, 18, 1345, 11680, 16, 374, 1653, 39818, 1904, 16, 282, 33241, 8384, 289, 281, 34099, 3149, 304, 294, 6619, 861, 4950, 639, 13446, 2697, 8496, 13062, 360, 7816, 10965, 695, 4195, 1378, 21649, 1275, 16, 2686, 334, 2856, 11135, 745, 23867, 281, 2689, 2855, 18, 478, 2176, 28495, 313, 9503, 3361, 1251, 13092, 17986, 282, 7253, 4096, 322, 4247, 5522, 7713, 18, 365, 47627, 8267, 656, 11843, 8051, 1472, 18035, 5199, 289, 1329, 1143, 18, 2465, 840, 939, 6026, 22738, 48140, 411, 42361, 910, 510, 2815, 1176, 411, 13764, 21649, 680, 4966, 1939, 17, 7745, 1870, 11942, 363, 46524, 18, 478, 4182, 387, 5428, 16, 6085, 19320, 12977, 1512, 16, 289, 1314, 656, 475, 38111, 687, 290, 28915, 707, 16, 367, 4521, 322, 290, 12384, 18, 1345, 13473, 3666, 16, 753, 37544, 1519, 16, 289, 31867, 16, 374, 20113, 11142, 840, 7556, 19339, 282, 48456, 289, 282, 10130, 910, 510, 1109, 8099, 7928, 18924, 7362, 8175, 265, 554, 18, 1665, 374, 393, 16, 1215, 1011, 2900, 16733, 13583, 23400, 4966, 289, 16581, 294, 9547, 18, 3923, 16, 953, 895, 16, 309, 2456, 2463, 16, 11471, 395, 289, 898, 40751, 2710, 17, 3697, 478, 272, 1088, 542, 11476, 910, 515, 381, 803, 942, 1472, 687, 48187, 18, 42255, 11785, 282, 8267, 281, 21649, 2855, 18462, 2511, 12994, 1397, 575, 5327, 6250, 18764, 9047, 16, 502, 1188, 1324, 2607, 18276, 11623, 6884, 309, 5572, 2468, 282, 8933, 365, 16, 48253, 475, 1421, 7977, 411, 10452, 18, 740, 827, 575, 281, 18308, 342, 2389, 289, 1280, 286, 2855, 329, 21741, 17793, 3873, 8053, 1791, 322, 17258, 16, 502, 1215, 282, 9268, 9547, 27273, 873, 7863, 773, 7623, 3800, 18, 27025, 49722, 675, 14521, 1465, 1653, 17, 2767, 26405, 9422, 9764, 16, 515, 281, 939, 6097, 6525, 651, 5251, 3050, 949, 10616, 10750, 6406, 14299, 5953, 30, 12743, 18, 824, 3163, 1307, 28772, 13198, 7342, 24407, 12046, 12653, 33686, 16, 1542, 4765, 2756, 478, 24119, 1757, 7090, 304, 470, 541, 505, 4966, 18, 34165, 1251, 20113, 16355, 5364, 2145, 289, 18924, 14366, 282, 29685, 41971, 16, 309, 47377, 30482, 7561, 478, 38165, 488, 459, 293, 508, 447, 1870, 798, 861, 365, 2411, 8317, 1533, 17, 25822, 582, 21649, 873, 7863, 2689, 4287, 3800, 16, 20343, 4010, 17, 299, 808, 935, 1741, 282, 6791, 13520, 651, 1061, 30, 23, 16, 2686, 282, 6031, 14596, 8824, 349, 11471, 1134, 411, 17739, 5839, 651, 667, 30, 4234, 18, 439, 1215, 282, 2296, 10178, 2095, 7977, 309, 14597, 726, 3118, 21528, 4110, 20113, 16355, 1262, 2145, 16, 11623, 24375, 274, 1743, 519, 9764, 281, 445, 5793, 282, 10608, 12994, 651, 25055, 30, 12086, 18, 27489, 1619, 12310, 28067, 5790, 1559, 4521, 322, 38592, 16, 367, 1673, 6964, 7342, 18924, 33072, 347, 488, 16, 21079, 1779, 309, 1595, 14299, 667, 12994, 18, 439, 16, 4213, 16, 15127, 13036, 1223, 7561, 2422, 16, 3230, 46605, 14259, 42255, 12653, 13389, 1624, 18462, 1912, 23651, 18, 985, 408, 17, 3697, 14214, 2155, 309, 19424, 2165, 282, 2630, 477, 2031, 758, 23908, 353, 1251, 17986, 322, 17258, 289, 282, 714, 1153, 18, 6682, 924, 16, 519, 2742, 7977, 4786, 25467, 281, 43805, 289, 21649, 3334, 30396, 353, 11532, 1424, 1934, 1458, 281, 23705, 478, 6952, 861, 3791, 282, 8933, 365, 34920, 1232, 42100, 332, 5649, 10119, 651, 25926, 30, 12770, 16, 367, 1280, 286, 873, 282, 8111, 547, 8267, 35293, 27273, 1275, 510, 6459, 30, 8318, 18, 365, 8933, 1130, 22244, 873, 40900, 21663, 47842, 651, 21786, 30, 12630, 16, 367, 8814, 873, 749, 1791, 7000, 751, 281, 2151, 342, 547, 651, 29523, 30, 11672, 18, 365, 5271, 24621, 2706, 12994, 309, 1595, 14299, 28773, 9840, 11819, 380, 18, 37461, 873, 4426, 667, 6432, 1876, 5875, 853, 507, 1789, 447, 7999, 507, 10313, 4667, 8955, 1195, 15836, 7899, 510, 22291, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 356, 861, 403, 2222, 575, 294, 688, 1182, 2407, 1441, 371, 1982, 318, 35728, 548, 478, 47518, 625, 41748, 470, 289, 478, 47518, 15020, 10754, 910, 27692, 17106, 6205, 8137, 9832, 23899, 18264, 2682, 478, 684, 414, 32796, 861, 365, 365, 9827, 289, 28600, 31789, 9322, 8747, 26656, 3405, 26, 9275, 15038, 289, 41562, 510, 428, 40704, 5856, 16, 453, 289, 3741, 16, 5692, 855, 5039, 39876, 22616, 2407, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1184, 549, 2145, 749, 1791, 38552, 8616, 18924, 477, 39135, 25055, 30, 12086, 18, 7249, 309, 19282, 3361, 1251, 7396, 17986, 16, 282, 28138, 5790, 7190, 12899, 3541, 282, 1176, 1609, 5780, 16, 374, 282, 7253, 4096, 11268, 322, 2397, 5522, 7713, 18, 31224, 30, 677, 9937, 309, 12013, 2422, 282, 11752, 12665, 10133, 1251, 5512, 939, 13337, 5925, 7739, 3317, 651, 3191, 758, 2145, 289, 18924, 18, 11566, 373, 16, 18276, 651, 4958, 2873, 2395, 282, 30681, 28915, 707, 16, 9579, 2508, 8290, 10515, 1880, 3400, 34939, 978, 4719, 5434, 6974, 7928, 18, 439, 1215, 374, 5327, 4966, 18924, 502, 16, 4213, 16, 2950, 1085, 411, 1817, 1385, 25467, 5304, 7818, 1830, 373, 2236, 19574, 411, 1847, 9536, 16, 3235, 17353, 346, 478, 780, 339, 791, 507, 470, 20334, 15078, 33072, 347, 488, 1624, 581, 374, 1122, 3111, 651, 3964, 322, 2552, 12987, 282, 1767, 28915, 1869, 895, 24597, 1558, 28595, 381, 1335, 7342, 18, 2046, 13337, 6321, 3515, 1344, 977, 4521, 4778, 47060, 651, 41702, 18, 985, 3665, 16, 3361, 1251, 2145, 289, 45914, 1745, 322, 25845, 13838, 13561, 9164, 18, 2052, 35513, 3806, 14210, 1133, 19167, 607, 411, 4910, 4830, 2059, 411, 14795, 12655, 933, 2044, 17487, 597, 347, 35954, 1428, 383, 626, 347, 39811, 3857, 18, 459, 3915, 773, 322, 4750, 18, 5043, 16, 282, 28138, 5790, 6548, 9680, 7342, 2145, 22004, 49722, 675, 14521, 1465, 2815, 16, 374, 11268, 1745, 406, 2175, 322, 2879, 48101, 5790, 18, 478, 4441, 27036, 20791, 16, 367, 322, 11268, 16, 651, 2815, 49722, 675, 14521, 1465, 3251, 1147, 38397, 14452, 18, 651, 1345, 2125, 32894, 18823, 18924, 18, 9993, 417, 583, 428, 17, 299, 445, 11347, 1279, 4966, 411, 18924, 18, 889, 639, 282, 5953, 17, 263, 3142, 16, 785, 417, 12737, 282, 4257, 18, 23200, 417, 5641, 42624, 294, 1335, 4008, 18, 608, 1129, 912, 32293, 32752, 18, 8269, 16, 329, 813, 9040, 4719, 6839, 36441, 861, 365, 1917, 271, 975, 289, 18165, 14995, 45236, 20989, 35457, 3495, 748, 363, 268, 30, 478, 4441, 2197, 411, 6459, 9806, 7561, 2422, 18, 1345, 11680, 16, 374, 1653, 39818, 1904, 16, 282, 33241, 8384, 289, 281, 34099, 3149, 304, 294, 6619, 861, 4950, 639, 13446, 2697, 8496, 13062, 360, 7816, 10965, 695, 4195, 1378, 21649, 1275, 16, 2686, 334, 2856, 11135, 745, 23867, 281, 2689, 2855, 18, 478, 2176, 28495, 313, 9503, 3361, 1251, 13092, 17986, 282, 7253, 4096, 322, 4247, 5522, 7713, 18, 365, 47627, 8267, 656, 11843, 8051, 1472, 18035, 5199, 289, 1329, 1143, 18, 2465, 840, 939, 6026, 22738, 48140, 411, 42361, 910, 510, 2815, 1176, 411, 13764, 21649, 680, 4966, 1939, 17, 7745, 1870, 11942, 363, 46524, 18, 478, 4182, 387, 5428, 16, 6085, 19320, 12977, 1512, 16, 289, 1314, 656, 475, 38111, 687, 290, 28915, 707, 16, 367, 4521, 322, 290, 12384, 18, 1345, 13473, 3666, 16, 753, 37544, 1519, 16, 289, 31867, 16, 374, 20113, 11142, 840, 7556, 19339, 282, 48456, 289, 282, 10130, 910, 510, 1109, 8099, 7928, 18924, 7362, 8175, 265, 554, 18, 1665, 374, 393, 16, 1215, 1011, 2900, 16733, 13583, 23400, 4966, 289, 16581, 294, 9547, 18, 3923, 16, 953, 895, 16, 309, 2456, 2463, 16, 11471, 395, 289, 898, 40751, 2710, 17, 3697, 478, 272, 1088, 542, 11476, 910, 515, 381, 803, 942, 1472, 687, 48187, 18, 42255, 11785, 282, 8267, 281, 21649, 2855, 18462, 2511, 12994, 1397, 575, 5327, 6250, 18764, 9047, 16, 502, 1188, 1324, 2607, 18276, 11623, 6884, 309, 5572, 2468, 282, 8933, 365, 16, 48253, 475, 1421, 7977, 411, 10452, 18, 740, 827, 575, 281, 18308, 342, 2389, 289, 1280, 286, 2855, 329, 21741, 17793, 3873, 8053, 1791, 322, 17258, 16, 502, 1215, 282, 9268, 9547, 27273, 873, 7863, 773, 7623, 3800, 18, 27025, 49722, 675, 14521, 1465, 1653, 17, 2767, 26405, 9422, 9764, 16, 515, 281, 939, 6097, 6525, 651, 5251, 3050, 949, 10616, 10750, 6406, 14299, 5953, 30, 12743, 18, 824, 3163, 1307, 28772, 13198, 7342, 24407, 12046, 12653, 33686, 16, 1542, 4765, 2756, 478, 24119, 1757, 7090, 304, 470, 541, 505, 4966, 18, 34165, 1251, 20113, 16355, 5364, 2145, 289, 18924, 14366, 282, 29685, 41971, 16, 309, 47377, 30482, 7561, 478, 38165, 488, 459, 293, 508, 447, 1870, 798, 861, 365, 2411, 8317, 1533, 17, 25822, 582, 21649, 873, 7863, 2689, 4287, 3800, 16, 20343, 4010, 17, 299, 808, 935, 1741, 282, 6791, 13520, 651, 1061, 30, 23, 16, 2686, 282, 6031, 14596, 8824, 349, 11471, 1134, 411, 17739, 5839, 651, 667, 30, 4234, 18, 439, 1215, 282, 2296, 10178, 2095, 7977, 309, 14597, 726, 3118, 21528, 4110, 20113, 16355, 1262, 2145, 16, 11623, 24375, 274, 1743, 519, 9764, 281, 445, 5793, 282, 10608, 12994, 651, 25055, 30, 12086, 18, 27489, 1619, 12310, 28067, 5790, 1559, 4521, 322, 38592, 16, 367, 1673, 6964, 7342, 18924, 33072, 347, 488, 16, 21079, 1779, 309, 1595, 14299, 667, 12994, 18, 439, 16, 4213, 16, 15127, 13036, 1223, 7561, 2422, 16, 3230, 46605, 14259, 42255, 12653, 13389, 1624, 18462, 1912, 23651, 18, 985, 408, 17, 3697, 14214, 2155, 309, 19424, 2165, 282, 2630, 477, 2031, 758, 23908, 353, 1251, 17986, 322, 17258, 289, 282, 714, 1153, 18, 6682, 924, 16, 519, 2742, 7977, 4786, 25467, 281, 43805, 289, 21649, 3334, 30396, 353, 11532, 1424, 1934, 1458, 281, 23705, 478, 6952, 861, 3791, 282, 8933, 365, 34920, 1232, 42100, 332, 5649, 10119, 651, 25926, 30, 12770, 16, 367, 1280, 286, 873, 282, 8111, 547, 8267, 35293, 27273, 1275, 510, 6459, 30, 8318, 18, 365, 8933, 1130, 22244, 873, 40900, 21663, 47842, 651, 21786, 30, 12630, 16, 367, 8814, 873, 749, 1791, 7000, 751, 281, 2151, 342, 547, 651, 29523, 30, 11672, 18, 365, 5271, 24621, 2706, 12994, 309, 1595, 14299, 28773, 9840, 11819, 380, 18, 37461, 873, 4426, 667, 6432, 1876, 5875, 853, 507, 1789, 447, 7999, 507, 10313, 4667, 8955, 1195, 15836, 7899, 510, 22291, 30 ]
[ 8042, 16, 18042, 1063, 1011, 4056, 23523, 477, 39135, 2287, 30, 5493, 18, 365, 8933, 385, 16, 282, 1754, 1038, 13309, 289, 20925, 1175, 16, 40712, 16536, 925, 13238, 17, 280, 11, 732, 2594, 441, 477, 39135, 30137, 30, 5584, 16, 367, 44119, 281, 6525, 45300, 326, 836, 3651, 1917, 1310, 1275, 510, 24864, 30, 8318, 18, 439, 282, 8933, 439, 1105, 919, 19121, 538, 27060, 1275, 510, 31932, 30, 11842, 18, 2949, 924, 16, 282, 8933, 439, 12935, 289, 7732, 29511, 783, 7561, 2422, 510, 20925, 9787, 1869, 282, 290, 551, 6189, 482, 42100, 332, 8616, 5306, 510, 28818, 30, 12979, 16, 10313, 9213, 1423, 12376, 8955, 309, 19843, 18, 5333, 2175, 16, 13905, 47236, 309, 13150, 4367, 1756, 282, 8933, 289, 21573, 467, 8593, 749, 22979, 17, 21131, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 7342, 1175, 334, 28915, 7170, 1492, 2, 1, 87, 1456, 81, 2448, 30, 17394, 31997, 18654, 718, 11552, 5246, 282, 1767, 1087, 8665, 673, 368, 2756, 21045, 43025, 42300, 416, 5119, 16, 17981, 289, 18747, 18, 23611, 823, 14414, 9597, 8343, 887, 11213, 1082, 8738, 8379, 541, 1121, 5933, 1485, 541, 22200, 289, 4965, 405, 1630, 3570, 3017, 1134, 10326, 10246, 8632, 356, 432, 25241, 18, 31224, 30, 39331, 3363, 2959, 27755, 1767, 8643, 18071, 334, 1087, 8665, 673, 1876, 16, 961, 309, 10867, 416, 5137, 2170, 857, 35034, 11552, 5246, 18, 3877, 673, 10217, 17036, 13587, 764, 8802, 4479, 779, 8343, 862, 3819, 16367, 1880, 8554, 20286, 42300, 416, 5119, 473, 44409, 17014, 365, 4810, 16, 42300, 6951, 31010, 2904, 309, 1272, 10801, 334, 11213, 582, 1350, 268, 523, 13241, 416, 6340, 541, 15611, 17122, 22200, 18, 985, 16672, 411, 19683, 8862, 24490, 9407, 16, 282, 5572, 1750, 11213, 887, 1350, 25231, 10357, 2347, 16, 961, 16, 334, 35197, 44154, 718, 12457, 16, 5358, 2989, 282, 3106, 23946, 16, 2125, 9113, 11434, 309, 22952, 281, 18596, 758, 40462, 289, 37363, 13409, 6198, 18, 403, 9410, 16854, 5019, 35616, 12634, 2257, 5693, 510, 541, 10326, 13169, 1500, 1943, 4417, 34942, 38962, 39722, 18, 17580, 49260, 906, 309, 23513, 4623, 3059, 1385, 1121, 5933, 1485, 16, 2319, 282, 11929, 432, 24672, 22200, 12106, 6776, 2625, 18752, 30838, 450, 18819, 18, 6592, 10867, 416, 22179, 16, 2452, 6063, 18459, 45229, 11552, 5246, 27755, 1767, 16, 541, 4735, 434, 16, 334, 8331, 16, 5761, 2536, 10146, 29601, 424, 23616, 1664, 761, 1130, 29932, 769, 1346, 1052, 83, 18, 12726, 13169, 16, 27795, 541, 3437, 22653, 1941, 1810, 18911, 22200, 16, 5575, 455, 491, 3763, 2791, 18, 967, 13957, 39723, 3429, 1323, 764, 2361, 22774, 16, 17074, 343, 4587, 24411, 16, 651, 10286, 14924, 16, 33060, 1655, 282, 44409, 18, 478, 3693, 4101, 3142, 11552, 5246, 27755, 1767, 371, 37084, 10357, 2347, 381, 26235, 35044, 292, 5019, 5721, 576, 21600, 294, 3017, 395, 18, 996, 16, 541, 16058, 13169, 16, 11617, 2024, 21744, 360, 491, 3763, 519, 816, 16, 27, 3763, 2791, 16, 7154, 2195, 430, 1119, 18, 999, 1205, 17437, 11617, 9163, 15577, 25241, 21744, 1033, 1760, 3763, 2791, 910, 510, 4848, 478, 46088, 18, 8381, 470, 40598, 12522, 282, 44409, 17704, 7550, 2839, 318, 3740, 18, 824, 505, 3163, 16, 5024, 5693, 48454, 294, 25212, 954, 16883, 9410, 4764, 289, 19456, 8608, 11213, 10217, 5995, 282, 430, 16, 25, 443, 22, 4570, 18, 478, 5801, 5327, 1888, 12794, 294, 3504, 395, 16, 502, 1197, 5097, 1130, 29932, 769, 1346, 1052, 83, 322, 5092, 4521, 18, 640, 2456, 2463, 481, 14657, 14342, 1162, 32274, 16, 334, 1804, 4639, 36917, 309, 30262, 577, 18, 629, 2363, 2236, 411, 7620, 11552, 5246, 16, 4427, 541, 4735, 432, 4974, 6332, 1717, 3433, 16, 309, 374, 784, 20137, 16, 374, 309, 1574, 22952, 1882, 13449, 13207, 18, 740, 481, 37163, 18, 1397, 5327, 1350, 268, 523, 10357, 2347, 16, 502, 745, 16, 334, 14371, 16, 35498, 802, 309, 28881, 5322, 344, 9037, 22952, 16, 367, 1574, 8379, 281, 18596, 758, 40462, 322, 5092, 910, 510, 5273, 2839, 318, 3740, 18, 27403, 44409, 2458, 30046, 541, 22974, 680, 10438, 16, 1586, 46360, 16, 374, 43755, 282, 5503, 11552, 5246, 7154, 937, 289, 1817, 1888, 20785, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 27755, 16412, 29283, 2087, 16, 1314, 28869, 1247, 290, 6244, 5535, 294, 34461, 8217, 28485, 1562, 17439, 11552, 5246, 349, 16508, 9205, 1687, 21772, 10867, 416, 22179, 18, 824, 8872, 10438, 30653, 539, 28402, 10954, 435, 10941, 289, 2834, 6191, 360, 44154, 718, 35076, 5848, 282, 11552, 5246, 12441, 668, 18071, 18, 8932, 3707, 18747, 334, 27755, 1767, 639, 38996, 9434, 23758, 15706, 6447, 16427, 4735, 395, 18, 478, 4348, 7836, 16, 290, 828, 3419, 4498, 16, 289, 18071, 726, 10258, 18, 1303, 7005, 656, 18310, 282, 36909, 541, 13595, 24853, 9104, 4075, 910, 510, 8977, 478, 46088, 18, 8381, 470, 12117, 5854, 24490, 563, 983, 7956, 4414, 1356, 1577, 2135, 18, 365, 43130, 1038, 322, 2458, 34358, 1954, 282, 10621, 18, 478, 672, 7819, 343, 14968, 18, 27403, 411, 18747, 294, 1299, 11930, 16, 515, 481, 12441, 549, 5825, 910, 510, 9321, 10344, 16804, 24979, 27755, 1767, 334, 7684, 4143, 477, 5792, 9409, 457, 781, 3854, 18, 365, 2456, 11552, 5246, 27755, 1767, 360, 15841, 1055, 38199, 18, 2, 1, 87, 1456, 81, 2448, 30, 12134, 4749, 44313, 5590, 19589, 890, 18505, 23860, 17484, 10261, 3584, 1219, 1043, 6795, 24468, 309, 505, 31294, 282, 1156, 3763, 20896, 16280, 38285, 16, 961, 898, 35012, 1007, 282, 11023, 6705, 779, 18, 459, 400, 613, 17859, 282, 1551, 16, 33160, 16, 374, 11350, 17, 32804, 570, 13204, 1450, 1061, 3763, 20896, 16280, 38285, 360, 10929, 697, 1462, 5250, 16, 282, 2114, 745, 41649, 18, 2046, 1617, 1694, 19589, 292, 322, 281, 9262, 18, 31224, 30, 12134, 4749, 44313, 5590, 7179, 19589, 890, 18505, 23860, 17484, 7220, 360, 1047, 1248, 1551, 19134, 1156, 3763, 20896, 16280, 38285, 47568, 23, 3420, 3763, 814, 11568, 282, 38465, 1551, 23455, 294, 373, 275, 301, 975, 18707, 10261, 3584, 1219, 1043, 27458, 764, 282, 6104, 1045, 16, 23860, 15334, 29817, 16, 753, 4126, 685, 2513, 2523, 16, 5301, 1273, 10127, 11571, 10184, 18, 365, 9937, 16, 309, 21613, 17, 295, 1119, 6067, 23860, 17484, 16, 411, 17, 431, 15116, 20649, 14824, 16044, 15947, 8882, 268, 2859, 31241, 22599, 1078, 4173, 16, 8693, 275, 13516, 31976, 18, 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 ]
[ 8042, 16, 18042, 1063, 1011, 4056, 23523, 477, 39135, 2287, 30, 5493, 18, 365, 8933, 385, 16, 282, 1754, 1038, 13309, 289, 20925, 1175, 16, 40712, 16536, 925, 13238, 17, 280, 11, 732, 2594, 441, 477, 39135, 30137, 30, 5584, 16, 367, 44119, 281, 6525, 45300, 326, 836, 3651, 1917, 1310, 1275, 510, 24864, 30, 8318, 18, 439, 282, 8933, 439, 1105, 919, 19121, 538, 27060, 1275, 510, 31932, 30, 11842, 18, 2949, 924, 16, 282, 8933, 439, 12935, 289, 7732, 29511, 783, 7561, 2422, 510, 20925, 9787, 1869, 282, 290, 551, 6189, 482, 42100, 332, 8616, 5306, 510, 28818, 30, 12979, 16, 10313, 9213, 1423, 12376, 8955, 309, 19843, 18, 5333, 2175, 16, 13905, 47236, 309, 13150, 4367, 1756, 282, 8933, 289, 21573, 467, 8593, 749, 22979, 17, 21131, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 7342, 1175, 334, 28915, 7170, 1492, 2, 1, 87, 1456, 81, 2448, 30, 17394, 31997, 18654, 718, 11552, 5246, 282, 1767, 1087, 8665, 673, 368, 2756, 21045, 43025, 42300, 416, 5119, 16, 17981, 289, 18747, 18, 23611, 823, 14414, 9597, 8343, 887, 11213, 1082, 8738, 8379, 541, 1121, 5933, 1485, 541, 22200, 289, 4965, 405, 1630, 3570, 3017, 1134, 10326, 10246, 8632, 356, 432, 25241, 18, 31224, 30, 39331, 3363, 2959, 27755, 1767, 8643, 18071, 334, 1087, 8665, 673, 1876, 16, 961, 309, 10867, 416, 5137, 2170, 857, 35034, 11552, 5246, 18, 3877, 673, 10217, 17036, 13587, 764, 8802, 4479, 779, 8343, 862, 3819, 16367, 1880, 8554, 20286, 42300, 416, 5119, 473, 44409, 17014, 365, 4810, 16, 42300, 6951, 31010, 2904, 309, 1272, 10801, 334, 11213, 582, 1350, 268, 523, 13241, 416, 6340, 541, 15611, 17122, 22200, 18, 985, 16672, 411, 19683, 8862, 24490, 9407, 16, 282, 5572, 1750, 11213, 887, 1350, 25231, 10357, 2347, 16, 961, 16, 334, 35197, 44154, 718, 12457, 16, 5358, 2989, 282, 3106, 23946, 16, 2125, 9113, 11434, 309, 22952, 281, 18596, 758, 40462, 289, 37363, 13409, 6198, 18, 403, 9410, 16854, 5019, 35616, 12634, 2257, 5693, 510, 541, 10326, 13169, 1500, 1943, 4417, 34942, 38962, 39722, 18, 17580, 49260, 906, 309, 23513, 4623, 3059, 1385, 1121, 5933, 1485, 16, 2319, 282, 11929, 432, 24672, 22200, 12106, 6776, 2625, 18752, 30838, 450, 18819, 18, 6592, 10867, 416, 22179, 16, 2452, 6063, 18459, 45229, 11552, 5246, 27755, 1767, 16, 541, 4735, 434, 16, 334, 8331, 16, 5761, 2536, 10146, 29601, 424, 23616, 1664, 761, 1130, 29932, 769, 1346, 1052, 83, 18, 12726, 13169, 16, 27795, 541, 3437, 22653, 1941, 1810, 18911, 22200, 16, 5575, 455, 491, 3763, 2791, 18, 967, 13957, 39723, 3429, 1323, 764, 2361, 22774, 16, 17074, 343, 4587, 24411, 16, 651, 10286, 14924, 16, 33060, 1655, 282, 44409, 18, 478, 3693, 4101, 3142, 11552, 5246, 27755, 1767, 371, 37084, 10357, 2347, 381, 26235, 35044, 292, 5019, 5721, 576, 21600, 294, 3017, 395, 18, 996, 16, 541, 16058, 13169, 16, 11617, 2024, 21744, 360, 491, 3763, 519, 816, 16, 27, 3763, 2791, 16, 7154, 2195, 430, 1119, 18, 999, 1205, 17437, 11617, 9163, 15577, 25241, 21744, 1033, 1760, 3763, 2791, 910, 510, 4848, 478, 46088, 18, 8381, 470, 40598, 12522, 282, 44409, 17704, 7550, 2839, 318, 3740, 18, 824, 505, 3163, 16, 5024, 5693, 48454, 294, 25212, 954, 16883, 9410, 4764, 289, 19456, 8608, 11213, 10217, 5995, 282, 430, 16, 25, 443, 22, 4570, 18, 478, 5801, 5327, 1888, 12794, 294, 3504, 395, 16, 502, 1197, 5097, 1130, 29932, 769, 1346, 1052, 83, 322, 5092, 4521, 18, 640, 2456, 2463, 481, 14657, 14342, 1162, 32274, 16, 334, 1804, 4639, 36917, 309, 30262, 577, 18, 629, 2363, 2236, 411, 7620, 11552, 5246, 16, 4427, 541, 4735, 432, 4974, 6332, 1717, 3433, 16, 309, 374, 784, 20137, 16, 374, 309, 1574, 22952, 1882, 13449, 13207, 18, 740, 481, 37163, 18, 1397, 5327, 1350, 268, 523, 10357, 2347, 16, 502, 745, 16, 334, 14371, 16, 35498, 802, 309, 28881, 5322, 344, 9037, 22952, 16, 367, 1574, 8379, 281, 18596, 758, 40462, 322, 5092, 910, 510, 5273, 2839, 318, 3740, 18, 27403, 44409, 2458, 30046, 541, 22974, 680, 10438, 16, 1586, 46360, 16, 374, 43755, 282, 5503, 11552, 5246, 7154, 937, 289, 1817, 1888, 20785, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 27755, 16412, 29283, 2087, 16, 1314, 28869, 1247, 290, 6244, 5535, 294, 34461, 8217, 28485, 1562, 17439, 11552, 5246, 349, 16508, 9205, 1687, 21772, 10867, 416, 22179, 18, 824, 8872, 10438, 30653, 539, 28402, 10954, 435, 10941, 289, 2834, 6191, 360, 44154, 718, 35076, 5848, 282, 11552, 5246, 12441, 668, 18071, 18, 8932, 3707, 18747, 334, 27755, 1767, 639, 38996, 9434, 23758, 15706, 6447, 16427, 4735, 395, 18, 478, 4348, 7836, 16, 290, 828, 3419, 4498, 16, 289, 18071, 726, 10258, 18, 1303, 7005, 656, 18310, 282, 36909, 541, 13595, 24853, 9104, 4075, 910, 510, 8977, 478, 46088, 18, 8381, 470, 12117, 5854, 24490, 563, 983, 7956, 4414, 1356, 1577, 2135, 18, 365, 43130, 1038, 322, 2458, 34358, 1954, 282, 10621, 18, 478, 672, 7819, 343, 14968, 18, 27403, 411, 18747, 294, 1299, 11930, 16, 515, 481, 12441, 549, 5825, 910, 510, 9321, 10344, 16804, 24979, 27755, 1767, 334, 7684, 4143, 477, 5792, 9409, 457, 781, 3854, 18, 365, 2456, 11552, 5246, 27755, 1767, 360, 15841, 1055, 38199, 18, 2, 1, 87, 1456, 81, 2448, 30, 12134, 4749, 44313, 5590, 19589, 890, 18505, 23860, 17484, 10261, 3584, 1219, 1043, 6795, 24468, 309, 505, 31294, 282, 1156, 3763, 20896, 16280, 38285, 16, 961, 898, 35012, 1007, 282, 11023, 6705, 779, 18, 459, 400, 613, 17859, 282, 1551, 16, 33160, 16, 374, 11350, 17, 32804, 570, 13204, 1450, 1061, 3763, 20896, 16280, 38285, 360, 10929, 697, 1462, 5250, 16, 282, 2114, 745, 41649, 18, 2046, 1617, 1694, 19589, 292, 322, 281, 9262, 18, 31224, 30, 12134, 4749, 44313, 5590, 7179, 19589, 890, 18505, 23860, 17484, 7220, 360, 1047, 1248, 1551, 19134, 1156, 3763, 20896, 16280, 38285, 47568, 23, 3420, 3763, 814, 11568, 282, 38465, 1551, 23455, 294, 373, 275, 301, 975, 18707, 10261, 3584, 1219, 1043, 27458, 764, 282, 6104, 1045, 16, 23860, 15334, 29817, 16, 753, 4126, 685, 2513, 2523, 16, 5301, 1273, 10127, 11571, 10184, 18, 365, 9937, 16, 309, 21613, 17, 295, 1119, 6067, 23860, 17484, 16, 411, 17, 431, 15116, 20649, 14824, 16044, 15947, 8882, 268, 2859, 31241, 22599, 1078, 4173, 16, 8693, 275, 13516, 31976, 18, 478 ]
[ 983, 1107, 15334, 2963, 16, 753, 13516, 6984, 11325, 29175, 622, 16, 510, 5130, 282, 9506, 547, 16992, 20256, 18, 510, 817, 24500, 16, 374, 7649, 6135, 2993, 953, 23488, 536, 16, 453, 428, 6612, 542, 4247, 32344, 4004, 861, 8882, 268, 10824, 16, 374, 4686, 7214, 16, 753, 4126, 6382, 282, 39859, 4666, 16, 453, 428, 10070, 17808, 10855, 2533, 18, 740, 492, 26728, 2159, 3003, 1011, 924, 16, 428, 18381, 18917, 289, 48240, 16303, 45922, 16, 374, 5510, 290, 39859, 4666, 282, 7204, 1750, 29657, 35913, 4269, 14857, 16, 5938, 3279, 41062, 6612, 542, 2125, 953, 22654, 18, 33825, 1262, 16170, 16, 374, 2733, 2175, 895, 1650, 506, 7642, 16, 374, 30208, 289, 20276, 448, 1749, 16605, 40077, 2608, 282, 29924, 6829, 16, 5301, 1273, 49463, 18, 24499, 3665, 16, 374, 14691, 17, 16981, 3584, 1219, 1043, 6795, 24468, 309, 1156, 3763, 20896, 16280, 38285, 16, 961, 898, 35012, 1007, 282, 6104, 1045, 411, 17, 431, 2913, 891, 16, 374, 492, 322, 6524, 4045, 32514, 2906, 1450, 2764, 289, 31704, 722, 282, 37217, 48311, 9524, 18, 1253, 12698, 16, 374, 23860, 15334, 9473, 36089, 1450, 289, 4679, 697, 18583, 9563, 1061, 3763, 20896, 16280, 38285, 47568, 28, 3763, 13, 360, 10929, 697, 9798, 1642, 282, 9590, 1207, 22349, 1532, 18, 5592, 15441, 685, 1103, 363, 349, 2706, 3763, 20896, 16280, 38285, 47568, 8799, 3763, 814, 824, 722, 3163, 16, 678, 322, 6378, 537, 30190, 360, 10929, 16, 2588, 492, 17463, 541, 13311, 4447, 12565, 18, 3584, 1219, 1043, 9321, 16, 374, 2733, 575, 2175, 722, 11350, 17, 32804, 570, 6274, 13739, 1272, 11407, 10305, 309, 15956, 5670, 16, 961, 492, 13204, 1450, 309, 7266, 3725, 986, 18, 478, 4592, 15546, 16, 374, 322, 12845, 15706, 360, 3591, 10929, 16, 1548, 374, 23860, 15334, 583, 17182, 282, 30696, 910, 510, 1109, 16044, 18, 817, 5692, 16, 374, 912, 28740, 16, 785, 23860, 15334, 16, 6232, 10977, 282, 14109, 16, 28035, 2764, 16, 367, 2512, 2988, 322, 6524, 14074, 697, 16, 2988, 36074, 4106, 17, 299, 10656, 18, 31818, 8882, 268, 21161, 20321, 1728, 14703, 16, 1029, 282, 11023, 29159, 364, 31294, 23860, 17484, 309, 1156, 3763, 20896, 16280, 38285, 16, 515, 11176, 364, 2089, 7512, 473, 44062, 45161, 492, 322, 8566, 13, 541, 19040, 26279, 18, 365, 6104, 1045, 23860, 15334, 25469, 1263, 309, 816, 16, 25, 5096, 20896, 16280, 38285, 47568, 25, 16, 26, 5096, 13, 294, 10656, 37712, 19589, 3910, 510, 5987, 5123, 38213, 1447, 329, 18, 23860, 15334, 2815, 16, 374, 38213, 1447, 18695, 5932, 505, 16, 1413, 2728, 11440, 16, 13739, 8296, 478, 563, 1497, 15207, 345, 470, 289, 478, 10520, 455, 470, 334, 49104, 17249, 10811, 18, 3584, 1219, 1043, 1655, 44951, 22807, 1728, 9798, 17653, 18, 2046, 16044, 14942, 701, 294, 722, 3286, 12944, 45680, 18, 478, 22766, 1219, 1043, 16, 428, 3465, 883, 6357, 23860, 17484, 16, 906, 7600, 324, 975, 16, 289, 745, 4726, 22457, 475, 3586, 7735, 16, 510, 2323, 678, 18, 510, 889, 4726, 856, 862, 309, 33770, 289, 3106, 722, 33014, 861, 365, 13186, 4440, 779, 32073, 5590, 23860, 17484, 17736, 17, 16981, 26227, 5379, 34671, 401, 30346, 1933, 405, 598, 833, 451, 4126, 16, 16150, 4289, 6228, 13826, 448, 282, 3182, 23455, 651, 360, 2261, 25, 519, 28032, 3763, 20896, 16280, 38285, 473, 370, 4843, 6475, 21, 519, 4843, 7751, 28, 3763, 814, 2, 1, 87, 1456, 81, 2448, 30, 6014, 17, 431, 35687, 28290, 40994, 46569, 5714, 648, 406, 1161, 16, 5358, 2545, 424, 32699, 304, 4048, 55, 406, 16, 20881, 282, 3198, 13305, 336, 2749, 496, 276, 2458, 9402, 42029, 14344, 5708, 8165, 16, 10703, 28794, 9631, 10226, 18, 1253, 1038, 8977, 16, 374, 39184, 31458, 282, 31657, 411, 10872, 33027, 553, 18, 31224, 30, 9489, 15532, 16, 282, 2588, 13317, 30927, 12510, 5714, 648, 39136, 16, 5358, 3308, 424, 32699, 304, 4048, 55, 406, 16, 329, 9631, 10226, 12543, 17834, 14344, 4523, 4126, 282, 14154, 16, 988, 678, 3164, 282, 7623, 2083, 16, 10703, 722, 28794, 28438, 35597, 401, 478, 672, 274, 1444, 45292, 861, 478, 16385, 939, 6392, 1450, 18, 15517, 16, 678, 965, 939, 4702, 13978, 18, 832, 2146, 6839, 16, 2091, 16, 5296, 16, 515, 7634, 12451, 18, 4777, 17834, 14344, 4523, 4126, 360, 336, 2749, 496, 16, 961, 678, 7356, 910, 510, 2323, 35597, 401, 18, 824, 722, 3163, 16, 5714, 648, 39136, 7356, 939, 14440, 19082, 411, 17, 431, 35687, 28290, 289, 322, 895, 3253, 4751, 10983, 411, 17, 431, 19599, 10687, 16, 1029, 45059, 309, 18286, 567, 808, 13305, 18, 967, 803, 35597, 401, 8977, 16, 374, 39184, 31458, 411, 10872, 33027, 553, 282, 31657, 16, 722, 44427, 30081, 428, 10664, 539, 16, 5923, 10027, 15040, 13267, 478, 16226, 861, 478, 4592, 906, 282, 33027, 553, 16, 1314, 726, 1003, 18, 16204, 2154, 965, 41969, 16, 515, 2955, 2023, 16, 374, 1851, 17, 299, 20928, 24828, 912, 289, 1450, 2438, 4893, 2471, 1904, 18, 4320, 846, 9197, 16, 3984, 5837, 510, 428, 687, 4040, 8030, 16, 3684, 16, 374, 678, 3253, 282, 5792, 481, 360, 635, 5770, 2712, 475, 910, 510, 2323, 35597, 401, 18, 415, 970, 16, 374, 30927, 13317, 282, 7131, 5167, 16, 722, 28794, 8977, 282, 3177, 584, 419, 844, 482, 16, 753, 8945, 14938, 478, 1124, 18555, 1437, 289, 1565, 8845, 48543, 282, 10130, 861, 478, 2176, 17032, 3476, 21166, 3412, 16, 25278, 18704, 411, 1304, 30927, 4048, 55, 406, 13317, 282, 22940, 13305, 334, 5595, 282, 19316, 16, 38890, 309, 1595, 31919, 24422, 282, 7522, 309, 281, 8464, 382, 2224, 513, 478, 618, 24172, 645, 322, 26340, 861, 3397, 3240, 20184, 541, 813, 726, 10487, 289, 6295, 424, 13470, 18409, 16, 4084, 416, 15373, 10544, 14265, 510, 6910, 773, 9405, 4271, 510, 18585, 678, 18, 27695, 38639, 1038, 15395, 281, 36683, 17584, 357, 294, 29302, 4096, 289, 44515, 48947, 800, 20749, 1081, 24098, 917, 18, 478, 4348, 40723, 309, 1033, 36360, 18172, 16, 515, 334, 47270, 14891, 519, 1939, 17, 292, 37002, 3598, 12510, 840, 11392, 309, 29425, 18, 999, 30931, 6728, 35070, 656, 12674, 339, 309, 6398, 3598, 16, 35393, 289, 4573, 3631, 406, 282, 7252, 3580, 16, 988, 2125, 898, 23683, 910, 510, 38563, 678, 18, 365, 10936, 31090, 478, 1009, 36007, 5343, 470, 35597, 401, 5698, 332, 3888, 14326, 13305, 16, 282, 2114, 47685, 9631, 11287, 18, 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 ]
[ 983, 1107, 15334, 2963, 16, 753, 13516, 6984, 11325, 29175, 622, 16, 510, 5130, 282, 9506, 547, 16992, 20256, 18, 510, 817, 24500, 16, 374, 7649, 6135, 2993, 953, 23488, 536, 16, 453, 428, 6612, 542, 4247, 32344, 4004, 861, 8882, 268, 10824, 16, 374, 4686, 7214, 16, 753, 4126, 6382, 282, 39859, 4666, 16, 453, 428, 10070, 17808, 10855, 2533, 18, 740, 492, 26728, 2159, 3003, 1011, 924, 16, 428, 18381, 18917, 289, 48240, 16303, 45922, 16, 374, 5510, 290, 39859, 4666, 282, 7204, 1750, 29657, 35913, 4269, 14857, 16, 5938, 3279, 41062, 6612, 542, 2125, 953, 22654, 18, 33825, 1262, 16170, 16, 374, 2733, 2175, 895, 1650, 506, 7642, 16, 374, 30208, 289, 20276, 448, 1749, 16605, 40077, 2608, 282, 29924, 6829, 16, 5301, 1273, 49463, 18, 24499, 3665, 16, 374, 14691, 17, 16981, 3584, 1219, 1043, 6795, 24468, 309, 1156, 3763, 20896, 16280, 38285, 16, 961, 898, 35012, 1007, 282, 6104, 1045, 411, 17, 431, 2913, 891, 16, 374, 492, 322, 6524, 4045, 32514, 2906, 1450, 2764, 289, 31704, 722, 282, 37217, 48311, 9524, 18, 1253, 12698, 16, 374, 23860, 15334, 9473, 36089, 1450, 289, 4679, 697, 18583, 9563, 1061, 3763, 20896, 16280, 38285, 47568, 28, 3763, 13, 360, 10929, 697, 9798, 1642, 282, 9590, 1207, 22349, 1532, 18, 5592, 15441, 685, 1103, 363, 349, 2706, 3763, 20896, 16280, 38285, 47568, 8799, 3763, 814, 824, 722, 3163, 16, 678, 322, 6378, 537, 30190, 360, 10929, 16, 2588, 492, 17463, 541, 13311, 4447, 12565, 18, 3584, 1219, 1043, 9321, 16, 374, 2733, 575, 2175, 722, 11350, 17, 32804, 570, 6274, 13739, 1272, 11407, 10305, 309, 15956, 5670, 16, 961, 492, 13204, 1450, 309, 7266, 3725, 986, 18, 478, 4592, 15546, 16, 374, 322, 12845, 15706, 360, 3591, 10929, 16, 1548, 374, 23860, 15334, 583, 17182, 282, 30696, 910, 510, 1109, 16044, 18, 817, 5692, 16, 374, 912, 28740, 16, 785, 23860, 15334, 16, 6232, 10977, 282, 14109, 16, 28035, 2764, 16, 367, 2512, 2988, 322, 6524, 14074, 697, 16, 2988, 36074, 4106, 17, 299, 10656, 18, 31818, 8882, 268, 21161, 20321, 1728, 14703, 16, 1029, 282, 11023, 29159, 364, 31294, 23860, 17484, 309, 1156, 3763, 20896, 16280, 38285, 16, 515, 11176, 364, 2089, 7512, 473, 44062, 45161, 492, 322, 8566, 13, 541, 19040, 26279, 18, 365, 6104, 1045, 23860, 15334, 25469, 1263, 309, 816, 16, 25, 5096, 20896, 16280, 38285, 47568, 25, 16, 26, 5096, 13, 294, 10656, 37712, 19589, 3910, 510, 5987, 5123, 38213, 1447, 329, 18, 23860, 15334, 2815, 16, 374, 38213, 1447, 18695, 5932, 505, 16, 1413, 2728, 11440, 16, 13739, 8296, 478, 563, 1497, 15207, 345, 470, 289, 478, 10520, 455, 470, 334, 49104, 17249, 10811, 18, 3584, 1219, 1043, 1655, 44951, 22807, 1728, 9798, 17653, 18, 2046, 16044, 14942, 701, 294, 722, 3286, 12944, 45680, 18, 478, 22766, 1219, 1043, 16, 428, 3465, 883, 6357, 23860, 17484, 16, 906, 7600, 324, 975, 16, 289, 745, 4726, 22457, 475, 3586, 7735, 16, 510, 2323, 678, 18, 510, 889, 4726, 856, 862, 309, 33770, 289, 3106, 722, 33014, 861, 365, 13186, 4440, 779, 32073, 5590, 23860, 17484, 17736, 17, 16981, 26227, 5379, 34671, 401, 30346, 1933, 405, 598, 833, 451, 4126, 16, 16150, 4289, 6228, 13826, 448, 282, 3182, 23455, 651, 360, 2261, 25, 519, 28032, 3763, 20896, 16280, 38285, 473, 370, 4843, 6475, 21, 519, 4843, 7751, 28, 3763, 814, 2, 1, 87, 1456, 81, 2448, 30, 6014, 17, 431, 35687, 28290, 40994, 46569, 5714, 648, 406, 1161, 16, 5358, 2545, 424, 32699, 304, 4048, 55, 406, 16, 20881, 282, 3198, 13305, 336, 2749, 496, 276, 2458, 9402, 42029, 14344, 5708, 8165, 16, 10703, 28794, 9631, 10226, 18, 1253, 1038, 8977, 16, 374, 39184, 31458, 282, 31657, 411, 10872, 33027, 553, 18, 31224, 30, 9489, 15532, 16, 282, 2588, 13317, 30927, 12510, 5714, 648, 39136, 16, 5358, 3308, 424, 32699, 304, 4048, 55, 406, 16, 329, 9631, 10226, 12543, 17834, 14344, 4523, 4126, 282, 14154, 16, 988, 678, 3164, 282, 7623, 2083, 16, 10703, 722, 28794, 28438, 35597, 401, 478, 672, 274, 1444, 45292, 861, 478, 16385, 939, 6392, 1450, 18, 15517, 16, 678, 965, 939, 4702, 13978, 18, 832, 2146, 6839, 16, 2091, 16, 5296, 16, 515, 7634, 12451, 18, 4777, 17834, 14344, 4523, 4126, 360, 336, 2749, 496, 16, 961, 678, 7356, 910, 510, 2323, 35597, 401, 18, 824, 722, 3163, 16, 5714, 648, 39136, 7356, 939, 14440, 19082, 411, 17, 431, 35687, 28290, 289, 322, 895, 3253, 4751, 10983, 411, 17, 431, 19599, 10687, 16, 1029, 45059, 309, 18286, 567, 808, 13305, 18, 967, 803, 35597, 401, 8977, 16, 374, 39184, 31458, 411, 10872, 33027, 553, 282, 31657, 16, 722, 44427, 30081, 428, 10664, 539, 16, 5923, 10027, 15040, 13267, 478, 16226, 861, 478, 4592, 906, 282, 33027, 553, 16, 1314, 726, 1003, 18, 16204, 2154, 965, 41969, 16, 515, 2955, 2023, 16, 374, 1851, 17, 299, 20928, 24828, 912, 289, 1450, 2438, 4893, 2471, 1904, 18, 4320, 846, 9197, 16, 3984, 5837, 510, 428, 687, 4040, 8030, 16, 3684, 16, 374, 678, 3253, 282, 5792, 481, 360, 635, 5770, 2712, 475, 910, 510, 2323, 35597, 401, 18, 415, 970, 16, 374, 30927, 13317, 282, 7131, 5167, 16, 722, 28794, 8977, 282, 3177, 584, 419, 844, 482, 16, 753, 8945, 14938, 478, 1124, 18555, 1437, 289, 1565, 8845, 48543, 282, 10130, 861, 478, 2176, 17032, 3476, 21166, 3412, 16, 25278, 18704, 411, 1304, 30927, 4048, 55, 406, 13317, 282, 22940, 13305, 334, 5595, 282, 19316, 16, 38890, 309, 1595, 31919, 24422, 282, 7522, 309, 281, 8464, 382, 2224, 513, 478, 618, 24172, 645, 322, 26340, 861, 3397, 3240, 20184, 541, 813, 726, 10487, 289, 6295, 424, 13470, 18409, 16, 4084, 416, 15373, 10544, 14265, 510, 6910, 773, 9405, 4271, 510, 18585, 678, 18, 27695, 38639, 1038, 15395, 281, 36683, 17584, 357, 294, 29302, 4096, 289, 44515, 48947, 800, 20749, 1081, 24098, 917, 18, 478, 4348, 40723, 309, 1033, 36360, 18172, 16, 515, 334, 47270, 14891, 519, 1939, 17, 292, 37002, 3598, 12510, 840, 11392, 309, 29425, 18, 999, 30931, 6728, 35070, 656, 12674, 339, 309, 6398, 3598, 16, 35393, 289, 4573, 3631, 406, 282, 7252, 3580, 16, 988, 2125, 898, 23683, 910, 510, 38563, 678, 18, 365, 10936, 31090, 478, 1009, 36007, 5343, 470, 35597, 401, 5698, 332, 3888, 14326, 13305, 16, 282, 2114, 47685, 9631, 11287, 18, 478 ]
[ 20424, 841, 2135, 7763, 16, 309, 9456, 1196, 857, 28000, 16, 6709, 16, 374, 17, 299, 309, 5595, 639, 18, 385, 6009, 20215, 435, 5894, 16, 17770, 887, 282, 1977, 280, 5159, 910, 510, 2323, 678, 18, 365, 3198, 32413, 5714, 648, 39136, 7356, 4005, 3595, 19082, 39961, 21303, 16, 2686, 29666, 15270, 9597, 349, 997, 276, 322, 898, 18, 3873, 10038, 13317, 282, 13305, 1248, 5004, 1011, 924, 16, 428, 19352, 282, 7337, 1234, 9875, 18, 1572, 290, 22704, 411, 35578, 21488, 16, 1029, 678, 8423, 1205, 2158, 411, 17, 431, 1791, 477, 25517, 18, 478, 5801, 5327, 15974, 16, 1800, 417, 282, 4666, 18, 14373, 808, 322, 639, 1333, 2141, 537, 309, 374, 18, 2046, 1248, 15433, 39076, 1612, 417, 726, 2742, 1514, 24435, 289, 3111, 16, 374, 5352, 14629, 18, 3557, 322, 2619, 32831, 1103, 29791, 1205, 16, 428, 656, 289, 38060, 910, 510, 10703, 678, 18, 32204, 290, 32942, 16, 961, 1271, 30302, 722, 309, 1205, 7631, 477, 15447, 16, 5714, 648, 39136, 9321, 16, 374, 294, 18254, 13595, 978, 4075, 678, 322, 11342, 478, 307, 9546, 432, 16, 537, 15570, 1333, 10846, 12750, 668, 5998, 861, 478, 1358, 7150, 1438, 34158, 965, 30, 784, 898, 20006, 12300, 289, 8537, 18, 629, 15611, 977, 282, 970, 16, 753, 1858, 14032, 309, 3561, 289, 19303, 965, 282, 4698, 3678, 40080, 18, 999, 4101, 3142, 411, 17, 431, 6059, 282, 14055, 1354, 16, 8762, 2466, 27521, 13789, 417, 2756, 30887, 16, 374, 322, 2286, 3797, 349, 1335, 8429, 910, 510, 16926, 678, 18, 824, 3163, 5714, 648, 406, 1161, 16, 349, 481, 808, 1450, 3225, 590, 397, 2375, 319, 965, 16, 16203, 1512, 289, 1992, 2309, 289, 27505, 281, 1807, 10165, 1433, 18, 4852, 5284, 1011, 7337, 30927, 8977, 290, 14881, 9702, 281, 3800, 399, 987, 3663, 16, 3361, 281, 3279, 25824, 478, 32058, 1620, 4697, 861, 478, 1916, 9769, 1974, 281, 4249, 5352, 280, 2998, 16, 374, 16, 3210, 16, 14883, 5481, 281, 18088, 6150, 289, 41804, 4697, 3361, 353, 282, 1360, 1354, 18, 16204, 624, 16, 961, 1329, 322, 20250, 16, 367, 687, 579, 10661, 289, 24188, 467, 9146, 18, 14155, 784, 481, 4206, 455, 11658, 35021, 2707, 347, 1624, 28652, 3708, 16, 1586, 19256, 7175, 16510, 16841, 910, 510, 5923, 722, 1694, 478, 27, 822, 845, 861, 40185, 39672, 16, 374, 6295, 282, 14055, 1354, 18092, 294, 2222, 16, 374, 722, 19663, 2458, 478, 307, 294, 21179, 910, 282, 6151, 906, 36913, 16, 367, 8884, 3525, 797, 6286, 1374, 18, 824, 3163, 40994, 16, 687, 1314, 678, 3424, 6369, 17118, 12993, 16, 478, 1517, 878, 16, 4426, 2205, 404, 861, 2, 1, 87, 1456, 81, 2448, 30, 31143, 33179, 8231, 7550, 19608, 291, 2815, 16, 374, 28872, 36667, 26540, 11440, 309, 11854, 349, 17784, 16, 753, 11028, 478, 635, 8764, 2439, 42044, 4371, 309, 9770, 1175, 289, 309, 8362, 282, 5329, 861, 608, 2385, 1812, 11440, 309, 11854, 16, 961, 8391, 670, 7393, 349, 19077, 289, 4247, 1122, 18213, 16, 31294, 16, 9299, 5854, 11413, 18, 4756, 282, 11896, 2407, 31010, 2904, 16, 374, 1472, 349, 4722, 1205, 37972, 9597, 2145, 31764, 3103, 11854, 18, 31224, 30, 11825, 404, 16, 387, 6282, 1733, 349, 12127, 309, 2768, 670, 309, 25552, 1756, 25364, 16, 1698, 34468, 281, 23057, 20072, 26205, 16, 961, 9718, 802, 11028, 18307, 766, 309, 6551, 16, 2815, 9128, 9362, 9246, 1552, 7550, 19608, 291, 18, 824, 505, 3163, 16, 2805, 481, 5327, 13811, 309, 2923, 2145, 18, 817, 1038, 4725, 16, 374, 7190, 26205, 12596, 5070, 668, 2768, 334, 834, 3951, 582, 5781, 2954, 16, 961, 4247, 349, 19077, 22754, 289, 2393, 31294, 18, 967, 803, 16419, 309, 31223, 622, 13279, 40432, 322, 2353, 16, 13391, 289, 36749, 10302, 294, 18952, 2986, 529, 275, 2131, 299, 411, 17, 431, 17198, 424, 6339, 419, 16, 9299, 492, 18, 478, 563, 44832, 8084, 16, 289, 656, 481, 726, 5644, 15471, 16, 374, 281, 2872, 473, 844, 2254, 2535, 2407, 510, 478, 18386, 18, 8381, 9979, 19423, 30670, 8518, 1372, 281, 5173, 18293, 18307, 2439, 22366, 3352, 309, 9770, 1175, 289, 309, 8362, 282, 5329, 910, 510, 1109, 19608, 291, 18, 365, 1335, 2630, 44072, 8566, 24575, 28674, 282, 4008, 10095, 16213, 6431, 9246, 1552, 18, 4756, 26459, 7796, 1552, 2407, 2671, 40247, 8495, 16, 2486, 9538, 576, 11854, 16, 387, 6282, 1587, 349, 12127, 16, 381, 48068, 28375, 477, 1963, 26205, 2145, 18, 985, 16170, 282, 27246, 16, 16775, 10299, 22056, 478, 8844, 3390, 1004, 467, 12062, 4694, 294, 4820, 7309, 5781, 2954, 470, 322, 687, 309, 2923, 25045, 16, 515, 289, 282, 35862, 7338, 16, 961, 4247, 281, 11173, 16678, 37390, 290, 35205, 2954, 18, 385, 5049, 779, 309, 2923, 35862, 10263, 898, 39895, 726, 12151, 11854, 16, 282, 970, 2875, 1294, 1960, 411, 1129, 510, 282, 6104, 1045, 16, 16170, 282, 19862, 11896, 18, 996, 16, 282, 11826, 1045, 282, 27500, 476, 685, 20817, 4210, 16640, 1624, 367, 282, 24425, 510, 3720, 34092, 1624, 478, 30323, 2156, 4167, 282, 13198, 17063, 861, 478, 33929, 1133, 36667, 322, 687, 12062, 9961, 294, 15734, 7715, 1279, 3338, 2954, 16, 515, 289, 8272, 309, 7549, 1453, 14386, 2005, 16, 428, 4983, 281, 2954, 1703, 986, 9364, 403, 18, 677, 18, 39374, 6264, 16, 4636, 10493, 282, 4479, 1045, 282, 2151, 636, 950, 16, 367, 2512, 26160, 35813, 3250, 282, 2145, 16, 289, 281, 472, 18, 677, 18, 17535, 501, 404, 3259, 16, 2024, 282, 2801, 1045, 21025, 1769, 7351, 19664, 3336, 281, 9591, 1981, 933, 19232, 910, 510, 5130, 282, 23032, 11413, 18, 365, 11896, 1038, 6442, 16, 374, 294, 5688, 6279, 18952, 2986, 23011, 7272, 48227, 11967, 16, 6895, 26301, 14075, 16, 367, 1038, 478, 1243, 323, 3447, 16, 428, 34387, 2644, 12519, 473, 19696, 31800, 670, 16, 6891, 16, 4293, 448, 14374, 16, 7814, 33833, 3059, 1014, 16, 15074, 3599, 289, 45010, 13, 861, 31076, 3193, 23011, 281, 5173, 478, 560, 11455, 22451, 2202, 5331, 17187, 910, 13462, 282, 9907, 18, 365, 2630, 281, 2184, 26459, 44234, 576, 18952, 2986, 371, 3730, 8292, 33609, 349, 12127, 21526, 3633, 37261, 26659, 16, 2805, 827, 912, 28907, 290, 9423, 17805, 477, 1963, 17329, 6431, 2145, 18, 2949, 924, 16, 282, 27246, 31010, 2904, 16, 374, 22154, 5942, 305, 478, 275, 894, 8200, 448, 3193, 910, 961, 35974, 17234, 9985, 2675, 13581, 5688, 6279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20424, 841, 2135, 7763, 16, 309, 9456, 1196, 857, 28000, 16, 6709, 16, 374, 17, 299, 309, 5595, 639, 18, 385, 6009, 20215, 435, 5894, 16, 17770, 887, 282, 1977, 280, 5159, 910, 510, 2323, 678, 18, 365, 3198, 32413, 5714, 648, 39136, 7356, 4005, 3595, 19082, 39961, 21303, 16, 2686, 29666, 15270, 9597, 349, 997, 276, 322, 898, 18, 3873, 10038, 13317, 282, 13305, 1248, 5004, 1011, 924, 16, 428, 19352, 282, 7337, 1234, 9875, 18, 1572, 290, 22704, 411, 35578, 21488, 16, 1029, 678, 8423, 1205, 2158, 411, 17, 431, 1791, 477, 25517, 18, 478, 5801, 5327, 15974, 16, 1800, 417, 282, 4666, 18, 14373, 808, 322, 639, 1333, 2141, 537, 309, 374, 18, 2046, 1248, 15433, 39076, 1612, 417, 726, 2742, 1514, 24435, 289, 3111, 16, 374, 5352, 14629, 18, 3557, 322, 2619, 32831, 1103, 29791, 1205, 16, 428, 656, 289, 38060, 910, 510, 10703, 678, 18, 32204, 290, 32942, 16, 961, 1271, 30302, 722, 309, 1205, 7631, 477, 15447, 16, 5714, 648, 39136, 9321, 16, 374, 294, 18254, 13595, 978, 4075, 678, 322, 11342, 478, 307, 9546, 432, 16, 537, 15570, 1333, 10846, 12750, 668, 5998, 861, 478, 1358, 7150, 1438, 34158, 965, 30, 784, 898, 20006, 12300, 289, 8537, 18, 629, 15611, 977, 282, 970, 16, 753, 1858, 14032, 309, 3561, 289, 19303, 965, 282, 4698, 3678, 40080, 18, 999, 4101, 3142, 411, 17, 431, 6059, 282, 14055, 1354, 16, 8762, 2466, 27521, 13789, 417, 2756, 30887, 16, 374, 322, 2286, 3797, 349, 1335, 8429, 910, 510, 16926, 678, 18, 824, 3163, 5714, 648, 406, 1161, 16, 349, 481, 808, 1450, 3225, 590, 397, 2375, 319, 965, 16, 16203, 1512, 289, 1992, 2309, 289, 27505, 281, 1807, 10165, 1433, 18, 4852, 5284, 1011, 7337, 30927, 8977, 290, 14881, 9702, 281, 3800, 399, 987, 3663, 16, 3361, 281, 3279, 25824, 478, 32058, 1620, 4697, 861, 478, 1916, 9769, 1974, 281, 4249, 5352, 280, 2998, 16, 374, 16, 3210, 16, 14883, 5481, 281, 18088, 6150, 289, 41804, 4697, 3361, 353, 282, 1360, 1354, 18, 16204, 624, 16, 961, 1329, 322, 20250, 16, 367, 687, 579, 10661, 289, 24188, 467, 9146, 18, 14155, 784, 481, 4206, 455, 11658, 35021, 2707, 347, 1624, 28652, 3708, 16, 1586, 19256, 7175, 16510, 16841, 910, 510, 5923, 722, 1694, 478, 27, 822, 845, 861, 40185, 39672, 16, 374, 6295, 282, 14055, 1354, 18092, 294, 2222, 16, 374, 722, 19663, 2458, 478, 307, 294, 21179, 910, 282, 6151, 906, 36913, 16, 367, 8884, 3525, 797, 6286, 1374, 18, 824, 3163, 40994, 16, 687, 1314, 678, 3424, 6369, 17118, 12993, 16, 478, 1517, 878, 16, 4426, 2205, 404, 861, 2, 1, 87, 1456, 81, 2448, 30, 31143, 33179, 8231, 7550, 19608, 291, 2815, 16, 374, 28872, 36667, 26540, 11440, 309, 11854, 349, 17784, 16, 753, 11028, 478, 635, 8764, 2439, 42044, 4371, 309, 9770, 1175, 289, 309, 8362, 282, 5329, 861, 608, 2385, 1812, 11440, 309, 11854, 16, 961, 8391, 670, 7393, 349, 19077, 289, 4247, 1122, 18213, 16, 31294, 16, 9299, 5854, 11413, 18, 4756, 282, 11896, 2407, 31010, 2904, 16, 374, 1472, 349, 4722, 1205, 37972, 9597, 2145, 31764, 3103, 11854, 18, 31224, 30, 11825, 404, 16, 387, 6282, 1733, 349, 12127, 309, 2768, 670, 309, 25552, 1756, 25364, 16, 1698, 34468, 281, 23057, 20072, 26205, 16, 961, 9718, 802, 11028, 18307, 766, 309, 6551, 16, 2815, 9128, 9362, 9246, 1552, 7550, 19608, 291, 18, 824, 505, 3163, 16, 2805, 481, 5327, 13811, 309, 2923, 2145, 18, 817, 1038, 4725, 16, 374, 7190, 26205, 12596, 5070, 668, 2768, 334, 834, 3951, 582, 5781, 2954, 16, 961, 4247, 349, 19077, 22754, 289, 2393, 31294, 18, 967, 803, 16419, 309, 31223, 622, 13279, 40432, 322, 2353, 16, 13391, 289, 36749, 10302, 294, 18952, 2986, 529, 275, 2131, 299, 411, 17, 431, 17198, 424, 6339, 419, 16, 9299, 492, 18, 478, 563, 44832, 8084, 16, 289, 656, 481, 726, 5644, 15471, 16, 374, 281, 2872, 473, 844, 2254, 2535, 2407, 510, 478, 18386, 18, 8381, 9979, 19423, 30670, 8518, 1372, 281, 5173, 18293, 18307, 2439, 22366, 3352, 309, 9770, 1175, 289, 309, 8362, 282, 5329, 910, 510, 1109, 19608, 291, 18, 365, 1335, 2630, 44072, 8566, 24575, 28674, 282, 4008, 10095, 16213, 6431, 9246, 1552, 18, 4756, 26459, 7796, 1552, 2407, 2671, 40247, 8495, 16, 2486, 9538, 576, 11854, 16, 387, 6282, 1587, 349, 12127, 16, 381, 48068, 28375, 477, 1963, 26205, 2145, 18, 985, 16170, 282, 27246, 16, 16775, 10299, 22056, 478, 8844, 3390, 1004, 467, 12062, 4694, 294, 4820, 7309, 5781, 2954, 470, 322, 687, 309, 2923, 25045, 16, 515, 289, 282, 35862, 7338, 16, 961, 4247, 281, 11173, 16678, 37390, 290, 35205, 2954, 18, 385, 5049, 779, 309, 2923, 35862, 10263, 898, 39895, 726, 12151, 11854, 16, 282, 970, 2875, 1294, 1960, 411, 1129, 510, 282, 6104, 1045, 16, 16170, 282, 19862, 11896, 18, 996, 16, 282, 11826, 1045, 282, 27500, 476, 685, 20817, 4210, 16640, 1624, 367, 282, 24425, 510, 3720, 34092, 1624, 478, 30323, 2156, 4167, 282, 13198, 17063, 861, 478, 33929, 1133, 36667, 322, 687, 12062, 9961, 294, 15734, 7715, 1279, 3338, 2954, 16, 515, 289, 8272, 309, 7549, 1453, 14386, 2005, 16, 428, 4983, 281, 2954, 1703, 986, 9364, 403, 18, 677, 18, 39374, 6264, 16, 4636, 10493, 282, 4479, 1045, 282, 2151, 636, 950, 16, 367, 2512, 26160, 35813, 3250, 282, 2145, 16, 289, 281, 472, 18, 677, 18, 17535, 501, 404, 3259, 16, 2024, 282, 2801, 1045, 21025, 1769, 7351, 19664, 3336, 281, 9591, 1981, 933, 19232, 910, 510, 5130, 282, 23032, 11413, 18, 365, 11896, 1038, 6442, 16, 374, 294, 5688, 6279, 18952, 2986, 23011, 7272, 48227, 11967, 16, 6895, 26301, 14075, 16, 367, 1038, 478, 1243, 323, 3447, 16, 428, 34387, 2644, 12519, 473, 19696, 31800, 670, 16, 6891, 16, 4293, 448, 14374, 16, 7814, 33833, 3059, 1014, 16, 15074, 3599, 289, 45010, 13, 861, 31076, 3193, 23011, 281, 5173, 478, 560, 11455, 22451, 2202, 5331, 17187, 910, 13462, 282, 9907, 18, 365, 2630, 281, 2184, 26459, 44234, 576, 18952, 2986, 371, 3730, 8292, 33609, 349, 12127, 21526, 3633, 37261, 26659, 16, 2805, 827, 912, 28907, 290, 9423, 17805, 477, 1963, 17329, 6431, 2145, 18, 2949, 924, 16, 282, 27246, 31010, 2904, 16, 374, 22154, 5942, 305, 478, 275, 894, 8200, 448, 3193, 910, 961, 35974, 17234, 9985, 2675, 13581, 5688, 6279 ]
[ 1455, 894, 347, 2986, 349, 17784, 18, 996, 16, 282, 11896, 4864, 3457, 16, 374, 281, 1110, 1326, 428, 16775, 2891, 282, 7847, 443, 28028, 6206, 30155, 2930, 17251, 28918, 624, 2407, 282, 2901, 5353, 426, 289, 6258, 17, 37272, 16, 329, 5781, 29823, 392, 283, 2778, 891, 8249, 47103, 3775, 541, 33335, 23196, 28918, 680, 289, 27172, 8434, 18952, 2986, 16, 961, 32727, 282, 6899, 3462, 309, 40531, 16955, 2145, 18, 12167, 2433, 37728, 43805, 10299, 307, 7771, 18473, 2407, 16, 35330, 282, 30416, 452, 16, 510, 11923, 15073, 6606, 34095, 18, 365, 2145, 9016, 31439, 282, 3705, 3498, 5827, 13059, 34658, 41458, 16, 1450, 16684, 519, 1760, 986, 17703, 8124, 18, 5343, 5273, 16, 374, 6606, 3949, 1623, 10035, 3168, 9188, 18, 365, 11023, 11826, 779, 678, 36413, 965, 9353, 416, 334, 6661, 411, 12153, 14267, 18, 6606, 3949, 26851, 16, 374, 36708, 282, 9794, 12049, 1279, 2145, 309, 7266, 3437, 986, 510, 281, 2604, 334, 11826, 779, 18, 3557, 3818, 6604, 27707, 26851, 16, 374, 2700, 8531, 13205, 1568, 381, 7796, 25499, 292, 18, 9051, 15154, 477, 23285, 11854, 343, 895, 3604, 1033, 25813, 10566, 510, 2852, 986, 16886, 4226, 25513, 289, 10556, 282, 9802, 4843, 37168, 4500, 18, 824, 43871, 12783, 12851, 6606, 12437, 16, 2628, 16, 9772, 6286, 4364, 282, 6551, 18, 18129, 290, 9772, 4121, 553, 840, 7099, 322, 1551, 16, 367, 2393, 11413, 18, 23440, 14668, 15046, 5129, 334, 722, 6619, 15162, 282, 8151, 3972, 18, 6290, 867, 16, 428, 10449, 6606, 12437, 290, 34460, 18051, 16, 31974, 16044, 19747, 26020, 688, 487, 1310, 2916, 455, 1450, 1817, 6528, 16, 753, 15731, 16, 374, 6604, 27707, 3164, 282, 13425, 304, 4492, 18, 967, 803, 16044, 4881, 2210, 43787, 23394, 6606, 34095, 290, 970, 16, 374, 722, 17288, 539, 15045, 289, 17072, 11359, 2644, 12519, 3005, 25371, 309, 722, 13602, 289, 10471, 48219, 7099, 4075, 18, 478, 1140, 1710, 475, 1904, 289, 678, 25603, 324, 910, 510, 9321, 688, 487, 1310, 18, 4320, 16044, 322, 2756, 3029, 2102, 21492, 10954, 427, 31862, 18, 4802, 6301, 14668, 9934, 1912, 3750, 26155, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 12003, 947, 21821, 289, 505, 34493, 9862, 10080, 40900, 309, 25008, 20441, 10296, 282, 2145, 16, 18866, 6457, 1195, 4989, 2840, 7620, 289, 5009, 659, 2159, 16432, 282, 12797, 464, 519, 37158, 18, 13191, 335, 5540, 47936, 322, 4983, 30, 2159, 1756, 32704, 5222, 11248, 282, 12797, 464, 528, 25496, 38239, 16, 33291, 7340, 548, 13624, 2566, 282, 34232, 289, 17370, 18253, 14475, 750, 18, 2046, 16062, 1162, 39635, 7620, 3525, 11524, 3213, 25388, 32709, 434, 1367, 395, 323, 18, 31224, 30, 15308, 785, 309, 40531, 16955, 2145, 322, 2513, 751, 9184, 5331, 16743, 16, 32345, 9577, 2664, 6442, 16, 374, 6457, 1195, 17281, 4989, 2840, 44922, 15732, 294, 16062, 4287, 18, 25652, 17, 9952, 31279, 4111, 38121, 9592, 1347, 1624, 1029, 2397, 6228, 16171, 43381, 6584, 5906, 282, 28079, 7620, 16, 2059, 411, 5606, 6925, 3391, 8348, 290, 25307, 16062, 1275, 18, 365, 1169, 31279, 503, 11906, 27803, 539, 25790, 38487, 38008, 597, 14190, 16, 2588, 10258, 22747, 1157, 4830, 17917, 343, 32870, 18, 824, 23810, 3761, 16, 8129, 3533, 1232, 20489, 5906, 16, 4079, 13584, 23582, 2223, 411, 2706, 25, 282, 17281, 28079, 44922, 18, 36753, 4287, 16, 329, 1639, 282, 6104, 1056, 276, 546, 639, 2123, 28, 1801, 16, 18725, 27714, 4317, 12607, 16, 1177, 3010, 745, 726, 590, 560, 911, 3457, 18, 608, 1129, 16, 334, 35854, 395, 16, 726, 3703, 28, 30430, 712, 31279, 46365, 18, 4800, 4654, 6881, 764, 282, 1760, 37515, 3489, 5868, 18, 44146, 16062, 1275, 6411, 2119, 2357, 281, 5174, 1218, 36918, 434, 4806, 17777, 17281, 16040, 37298, 378, 310, 4401, 16, 309, 18506, 1754, 10232, 670, 30667, 5222, 24163, 624, 6260, 16825, 1458, 1624, 670, 9592, 755, 18, 3791, 16062, 873, 6146, 13805, 1530, 28597, 567, 1209, 7920, 292, 16040, 7620, 18, 2227, 434, 47936, 34493, 5855, 4623, 16, 374, 529, 1866, 414, 3888, 34450, 16, 475, 17, 2767, 322, 4983, 18, 34493, 2675, 3225, 8969, 5906, 282, 14788, 28079, 44922, 16, 2686, 2650, 17468, 1055, 358, 399, 339, 46403, 18, 640, 1409, 18, 646, 44311, 1612, 473, 3940, 18, 646, 21014, 13, 349, 1367, 395, 323, 2734, 1033, 13004, 9536, 16040, 510, 17530, 35675, 18, 608, 16062, 1275, 376, 12151, 44810, 18, 23979, 17541, 322, 28415, 1007, 764, 282, 816, 411, 10608, 42552, 16, 988, 9184, 751, 12797, 1250, 18, 34141, 1737, 1595, 3059, 5222, 7340, 6507, 11248, 282, 12797, 464, 2145, 528, 25496, 38239, 1624, 1176, 411, 12137, 1218, 36918, 416, 17773, 14190, 18, 2320, 7739, 5793, 906, 5854, 2016, 478, 822, 30584, 771, 263, 1748, 746, 470, 32073, 5993, 549, 43328, 20506, 1368, 5691, 29890, 16, 1121, 1712, 14377, 668, 9184, 11343, 30183, 16, 282, 1754, 4434, 2995, 6331, 347, 282, 1229, 1486, 1207, 10372, 3276, 44853, 616, 2675, 289, 17472, 478, 348, 875, 366, 649, 7064, 861, 38239, 16, 2024, 28096, 414, 16062, 873, 281, 5653, 779, 16, 1011, 924, 428, 492, 21253, 21540, 766, 1880, 5906, 16, 16480, 796, 17, 19602, 16, 4434, 6503, 5691, 29890, 282, 17664, 32707, 18, 478, 5786, 2002, 322, 6203, 2919, 16, 2002, 322, 6203, 2919, 4271, 510, 46167, 1634, 21669, 6353, 664, 546, 452, 1779, 2792, 368, 1155, 18, 999, 7340, 354, 10167, 8882, 8053, 16738, 5656, 282, 5329, 14355, 10913, 6564, 549, 18253, 14475, 542, 18, 817, 18147, 7791, 965, 21121, 2409, 8619, 413, 7894, 282, 12938, 21015, 1081, 12797, 1347, 17, 19897, 354, 27837, 4671, 347, 1624, 1029, 3882, 383, 300, 282, 12797, 464, 24277, 281, 19839, 779, 18, 385, 42603, 46621, 3560, 21275, 5854, 478, 822, 30584, 771, 263, 1748, 746, 910, 16555, 282, 12797, 1250, 360, 17240, 17807, 275, 3651, 6315, 3284, 415, 11, 26181, 11827, 271, 16, 41681, 420, 12452, 867, 16, 374, 25791, 906, 26003, 32270, 16, 374, 10008, 1121, 291, 1518, 18, 46406, 350, 23610, 2287, 17, 17827, 28017, 16, 988, 678, 30715, 282, 12341, 5535, 34078, 16, 502, 289, 1743, 3202, 3287, 334, 17565, 18, 478, 4441, 322, 21833, 16, 14517, 16, 374, 14053, 17807, 275, 3651, 2702, 21081, 451, 910, 510, 2323, 282, 7337, 33409, 18045, 13663, 4749, 415, 11, 26181, 11827, 271, 11350, 17, 1310, 488, 3685, 282, 9541, 17, 27394, 3056, 2145, 360, 16062, 1275, 309, 10296, 5049, 779, 10319, 378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1455, 894, 347, 2986, 349, 17784, 18, 996, 16, 282, 11896, 4864, 3457, 16, 374, 281, 1110, 1326, 428, 16775, 2891, 282, 7847, 443, 28028, 6206, 30155, 2930, 17251, 28918, 624, 2407, 282, 2901, 5353, 426, 289, 6258, 17, 37272, 16, 329, 5781, 29823, 392, 283, 2778, 891, 8249, 47103, 3775, 541, 33335, 23196, 28918, 680, 289, 27172, 8434, 18952, 2986, 16, 961, 32727, 282, 6899, 3462, 309, 40531, 16955, 2145, 18, 12167, 2433, 37728, 43805, 10299, 307, 7771, 18473, 2407, 16, 35330, 282, 30416, 452, 16, 510, 11923, 15073, 6606, 34095, 18, 365, 2145, 9016, 31439, 282, 3705, 3498, 5827, 13059, 34658, 41458, 16, 1450, 16684, 519, 1760, 986, 17703, 8124, 18, 5343, 5273, 16, 374, 6606, 3949, 1623, 10035, 3168, 9188, 18, 365, 11023, 11826, 779, 678, 36413, 965, 9353, 416, 334, 6661, 411, 12153, 14267, 18, 6606, 3949, 26851, 16, 374, 36708, 282, 9794, 12049, 1279, 2145, 309, 7266, 3437, 986, 510, 281, 2604, 334, 11826, 779, 18, 3557, 3818, 6604, 27707, 26851, 16, 374, 2700, 8531, 13205, 1568, 381, 7796, 25499, 292, 18, 9051, 15154, 477, 23285, 11854, 343, 895, 3604, 1033, 25813, 10566, 510, 2852, 986, 16886, 4226, 25513, 289, 10556, 282, 9802, 4843, 37168, 4500, 18, 824, 43871, 12783, 12851, 6606, 12437, 16, 2628, 16, 9772, 6286, 4364, 282, 6551, 18, 18129, 290, 9772, 4121, 553, 840, 7099, 322, 1551, 16, 367, 2393, 11413, 18, 23440, 14668, 15046, 5129, 334, 722, 6619, 15162, 282, 8151, 3972, 18, 6290, 867, 16, 428, 10449, 6606, 12437, 290, 34460, 18051, 16, 31974, 16044, 19747, 26020, 688, 487, 1310, 2916, 455, 1450, 1817, 6528, 16, 753, 15731, 16, 374, 6604, 27707, 3164, 282, 13425, 304, 4492, 18, 967, 803, 16044, 4881, 2210, 43787, 23394, 6606, 34095, 290, 970, 16, 374, 722, 17288, 539, 15045, 289, 17072, 11359, 2644, 12519, 3005, 25371, 309, 722, 13602, 289, 10471, 48219, 7099, 4075, 18, 478, 1140, 1710, 475, 1904, 289, 678, 25603, 324, 910, 510, 9321, 688, 487, 1310, 18, 4320, 16044, 322, 2756, 3029, 2102, 21492, 10954, 427, 31862, 18, 4802, 6301, 14668, 9934, 1912, 3750, 26155, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 12003, 947, 21821, 289, 505, 34493, 9862, 10080, 40900, 309, 25008, 20441, 10296, 282, 2145, 16, 18866, 6457, 1195, 4989, 2840, 7620, 289, 5009, 659, 2159, 16432, 282, 12797, 464, 519, 37158, 18, 13191, 335, 5540, 47936, 322, 4983, 30, 2159, 1756, 32704, 5222, 11248, 282, 12797, 464, 528, 25496, 38239, 16, 33291, 7340, 548, 13624, 2566, 282, 34232, 289, 17370, 18253, 14475, 750, 18, 2046, 16062, 1162, 39635, 7620, 3525, 11524, 3213, 25388, 32709, 434, 1367, 395, 323, 18, 31224, 30, 15308, 785, 309, 40531, 16955, 2145, 322, 2513, 751, 9184, 5331, 16743, 16, 32345, 9577, 2664, 6442, 16, 374, 6457, 1195, 17281, 4989, 2840, 44922, 15732, 294, 16062, 4287, 18, 25652, 17, 9952, 31279, 4111, 38121, 9592, 1347, 1624, 1029, 2397, 6228, 16171, 43381, 6584, 5906, 282, 28079, 7620, 16, 2059, 411, 5606, 6925, 3391, 8348, 290, 25307, 16062, 1275, 18, 365, 1169, 31279, 503, 11906, 27803, 539, 25790, 38487, 38008, 597, 14190, 16, 2588, 10258, 22747, 1157, 4830, 17917, 343, 32870, 18, 824, 23810, 3761, 16, 8129, 3533, 1232, 20489, 5906, 16, 4079, 13584, 23582, 2223, 411, 2706, 25, 282, 17281, 28079, 44922, 18, 36753, 4287, 16, 329, 1639, 282, 6104, 1056, 276, 546, 639, 2123, 28, 1801, 16, 18725, 27714, 4317, 12607, 16, 1177, 3010, 745, 726, 590, 560, 911, 3457, 18, 608, 1129, 16, 334, 35854, 395, 16, 726, 3703, 28, 30430, 712, 31279, 46365, 18, 4800, 4654, 6881, 764, 282, 1760, 37515, 3489, 5868, 18, 44146, 16062, 1275, 6411, 2119, 2357, 281, 5174, 1218, 36918, 434, 4806, 17777, 17281, 16040, 37298, 378, 310, 4401, 16, 309, 18506, 1754, 10232, 670, 30667, 5222, 24163, 624, 6260, 16825, 1458, 1624, 670, 9592, 755, 18, 3791, 16062, 873, 6146, 13805, 1530, 28597, 567, 1209, 7920, 292, 16040, 7620, 18, 2227, 434, 47936, 34493, 5855, 4623, 16, 374, 529, 1866, 414, 3888, 34450, 16, 475, 17, 2767, 322, 4983, 18, 34493, 2675, 3225, 8969, 5906, 282, 14788, 28079, 44922, 16, 2686, 2650, 17468, 1055, 358, 399, 339, 46403, 18, 640, 1409, 18, 646, 44311, 1612, 473, 3940, 18, 646, 21014, 13, 349, 1367, 395, 323, 2734, 1033, 13004, 9536, 16040, 510, 17530, 35675, 18, 608, 16062, 1275, 376, 12151, 44810, 18, 23979, 17541, 322, 28415, 1007, 764, 282, 816, 411, 10608, 42552, 16, 988, 9184, 751, 12797, 1250, 18, 34141, 1737, 1595, 3059, 5222, 7340, 6507, 11248, 282, 12797, 464, 2145, 528, 25496, 38239, 1624, 1176, 411, 12137, 1218, 36918, 416, 17773, 14190, 18, 2320, 7739, 5793, 906, 5854, 2016, 478, 822, 30584, 771, 263, 1748, 746, 470, 32073, 5993, 549, 43328, 20506, 1368, 5691, 29890, 16, 1121, 1712, 14377, 668, 9184, 11343, 30183, 16, 282, 1754, 4434, 2995, 6331, 347, 282, 1229, 1486, 1207, 10372, 3276, 44853, 616, 2675, 289, 17472, 478, 348, 875, 366, 649, 7064, 861, 38239, 16, 2024, 28096, 414, 16062, 873, 281, 5653, 779, 16, 1011, 924, 428, 492, 21253, 21540, 766, 1880, 5906, 16, 16480, 796, 17, 19602, 16, 4434, 6503, 5691, 29890, 282, 17664, 32707, 18, 478, 5786, 2002, 322, 6203, 2919, 16, 2002, 322, 6203, 2919, 4271, 510, 46167, 1634, 21669, 6353, 664, 546, 452, 1779, 2792, 368, 1155, 18, 999, 7340, 354, 10167, 8882, 8053, 16738, 5656, 282, 5329, 14355, 10913, 6564, 549, 18253, 14475, 542, 18, 817, 18147, 7791, 965, 21121, 2409, 8619, 413, 7894, 282, 12938, 21015, 1081, 12797, 1347, 17, 19897, 354, 27837, 4671, 347, 1624, 1029, 3882, 383, 300, 282, 12797, 464, 24277, 281, 19839, 779, 18, 385, 42603, 46621, 3560, 21275, 5854, 478, 822, 30584, 771, 263, 1748, 746, 910, 16555, 282, 12797, 1250, 360, 17240, 17807, 275, 3651, 6315, 3284, 415, 11, 26181, 11827, 271, 16, 41681, 420, 12452, 867, 16, 374, 25791, 906, 26003, 32270, 16, 374, 10008, 1121, 291, 1518, 18, 46406, 350, 23610, 2287, 17, 17827, 28017, 16, 988, 678, 30715, 282, 12341, 5535, 34078, 16, 502, 289, 1743, 3202, 3287, 334, 17565, 18, 478, 4441, 322, 21833, 16, 14517, 16, 374, 14053, 17807, 275, 3651, 2702, 21081, 451, 910, 510, 2323, 282, 7337, 33409, 18045, 13663, 4749, 415, 11, 26181, 11827, 271, 11350, 17, 1310, 488, 3685, 282, 9541, 17, 27394, 3056, 2145, 360, 16062, 1275, 309, 10296, 5049, 779, 10319, 378 ]
[ 4013, 1452, 18, 832, 10849, 309, 10296, 17188, 7620, 20122, 7321, 16, 961, 23640, 36753, 2127, 15958, 18, 996, 16, 8851, 45940, 2241, 1057, 38, 1201, 6842, 868, 669, 7287, 297, 45114, 1496, 46621, 11031, 13526, 34232, 16, 329, 22603, 7340, 552, 33839, 10171, 272, 392, 1624, 1029, 17455, 519, 12138, 1612, 8892, 6700, 16795, 6948, 287, 17240, 18, 28456, 726, 685, 39493, 34232, 282, 16951, 384, 10335, 23, 6206, 18, 45114, 1496, 10322, 4318, 309, 1423, 30183, 2364, 4843, 46504, 3763, 16, 1715, 475, 10808, 3674, 16, 1271, 743, 15513, 16, 37963, 11043, 620, 6835, 17, 29596, 22004, 1683, 13028, 748, 3418, 3924, 18, 4843, 2479, 27, 3763, 16, 334, 35854, 395, 17764, 1234, 15725, 7657, 2335, 16, 25627, 309, 19536, 668, 20775, 18, 28462, 45940, 2241, 1021, 1753, 716, 4102, 17, 52, 2718, 1950, 2776, 326, 727, 278, 1838, 324, 1038, 46621, 11031, 282, 21540, 766, 2145, 360, 17240, 48846, 18, 727, 278, 1838, 324, 49266, 1097, 22897, 12797, 6520, 360, 7340, 712, 5002, 807, 298, 34605, 3045, 18, 5181, 16, 1055, 16555, 322, 281, 4065, 289, 4226, 19683, 22714, 14248, 2496, 5963, 678, 27866, 281, 19167, 3924, 478, 4348, 764, 10585, 3413, 289, 15831, 406, 870, 15811, 861, 35191, 356, 320, 669, 50020, 4048, 46623, 16, 1586, 1974, 281, 13847, 1623, 720, 14313, 3347, 3197, 2206, 449, 285, 37399, 473, 59, 4962, 1234, 15630, 13300, 42165, 934, 46621, 11031, 282, 21540, 766, 360, 17240, 2124, 12090, 8392, 266, 18, 4048, 46623, 49266, 6700, 16795, 6948, 344, 17240, 3911, 454, 37539, 2272, 300, 306, 18, 3739, 519, 2742, 10144, 678, 1576, 12143, 290, 16115, 25645, 4843, 3324, 3763, 309, 1423, 9184, 11343, 30183, 18, 18098, 451, 5476, 478, 822, 30584, 771, 263, 1748, 746, 470, 985, 687, 4732, 8388, 1920, 16661, 17541, 16, 2438, 3665, 290, 25307, 21449, 7620, 478, 822, 30584, 771, 263, 1748, 746, 910, 24405, 2822, 13605, 24165, 23603, 360, 12963, 9730, 356, 25200, 2632, 519, 520, 50065, 9391, 424, 19167, 4455, 6309, 360, 478, 296, 2315, 346, 5439, 910, 24562, 17411, 289, 32362, 17773, 14190, 16, 14225, 2545, 17757, 15442, 7321, 1188, 15499, 758, 44795, 18, 29976, 2610, 1559, 36186, 6147, 38162, 45428, 262, 1624, 17951, 1510, 360, 31255, 700, 18, 28616, 7788, 978, 1927, 22305, 14210, 718, 11268, 15371, 38345, 282, 9541, 17, 27394, 3056, 726, 309, 14183, 10296, 18, 478, 822, 20671, 771, 263, 1748, 746, 910, 2805, 309, 10649, 1728, 42855, 16, 17627, 1374, 23125, 6425, 282, 3097, 496, 351, 440, 32707, 16, 289, 16410, 45428, 262, 44557, 20928, 5335, 334, 2733, 9815, 277, 16, 453, 575, 428, 289, 13125, 564, 39493, 13340, 2776, 823, 318, 4758, 478, 3181, 434, 470, 20449, 510, 2689, 382, 17615, 718, 13009, 1651, 382, 20678, 326, 18, 365, 722, 23991, 30682, 7614, 22744, 8955, 36186, 6147, 16608, 8129, 375, 266, 16, 2024, 48348, 7788, 30010, 536, 21340, 478, 822, 30584, 771, 263, 1748, 746, 470, 282, 14788, 28079, 18, 1268, 17240, 403, 6137, 273, 382, 685, 9272, 282, 21540, 766, 472, 16270, 2227, 16, 5104, 9798, 20449, 282, 32712, 2145, 472, 853, 43430, 1624, 42969, 1081, 16062, 1133, 30044, 1755, 288, 5049, 779, 12797, 6520, 1467, 4681, 4048, 13086, 392, 18, 2263, 4048, 273, 5944, 685, 749, 5197, 27991, 6896, 360, 439, 3394, 2899, 309, 6940, 1573, 3729, 305, 883, 3017, 16, 1029, 16, 428, 492, 28035, 16, 4040, 541, 1047, 12651, 18, 608, 1766, 5966, 2438, 13270, 16, 2486, 35150, 38783, 21821, 282, 23991, 459, 9589, 416, 267, 30, 10404, 12797, 1347, 16, 2486, 17455, 785, 17, 299, 30667, 8478, 23127, 1642, 16, 24687, 36186, 6147, 9840, 403, 2688, 18, 403, 2688, 17060, 5841, 454, 329, 7340, 354, 5527, 440, 30256, 3306, 6041, 16, 349, 2024, 349, 1272, 2299, 519, 10144, 282, 34456, 9665, 5112, 2437, 41309, 21821, 18, 36753, 1162, 10343, 297, 29621, 16, 282, 1754, 5063, 862, 16, 374, 30256, 3306, 948, 5931, 282, 381, 2430, 3849, 32586, 4481, 547, 20172, 16, 4590, 342, 11290, 27594, 282, 970, 2875, 289, 35438, 36958, 47098, 16, 5915, 7081, 1280, 1174, 274, 2989, 19187, 4830, 18, 403, 2688, 17060, 322, 687, 1573, 3729, 305, 883, 3017, 18, 18619, 349, 1047, 36695, 309, 478, 1124, 1144, 432, 10296, 470, 12797, 1347, 16, 1029, 1943, 840, 2264, 2888, 7354, 743, 16853, 1011, 32870, 10404, 18, 8071, 779, 2158, 481, 1756, 17455, 47364, 39493, 4280, 304, 5274, 4168, 28098, 2792, 368, 1155, 45248, 4671, 4807, 16, 1029, 322, 1559, 26184, 319, 1423, 37917, 18, 403, 2688, 16, 2733, 2175, 16, 4040, 13323, 17, 277, 16062, 3347, 282, 25881, 5271, 12797, 354, 18, 889, 764, 1143, 11524, 3213, 13354, 6937, 32870, 1624, 1586, 567, 808, 478, 409, 9793, 20645, 770, 1600, 368, 470, 510, 282, 2849, 1251, 13125, 1525, 289, 289, 324, 272, 24174, 2206, 4090, 9536, 44922, 510, 3207, 373, 2245, 3493, 1817, 1634, 11755, 10944, 18, 1787, 1794, 1491, 1080, 434, 5743, 8166, 478, 32804, 1991, 2315, 10093, 470, 282, 5259, 12607, 282, 14788, 28079, 18, 5592, 465, 635, 8471, 13270, 309, 32989, 2557, 16, 28593, 1215, 12358, 14355, 2632, 16, 19683, 20449, 360, 36753, 680, 4623, 10167, 9880, 8367, 1624, 349, 2024, 7556, 2437, 1682, 6406, 378, 4013, 1452, 289, 722, 14703, 334, 478, 822, 1384, 954, 771, 263, 1748, 746, 861, 824, 3761, 309, 491, 18, 3161, 44311, 1612, 473, 29, 18, 3161, 21014, 934, 492, 33513, 281, 6603, 9, 15636, 263, 14294, 523, 1465, 16, 16062, 582, 16, 17951, 1027, 309, 11031, 428, 37904, 280, 1384, 16093, 18, 1253, 10047, 11166, 9, 12607, 16, 7340, 7376, 16555, 6140, 818, 4402, 266, 1532, 268, 510, 687, 2706, 5999, 14541, 432, 10445, 4128, 19188, 16, 16289, 538, 14294, 523, 1465, 2125, 898, 7557, 24554, 1855, 722, 3499, 282, 33298, 337, 16, 289, 1205, 758, 411, 1129, 23160, 687, 518, 16, 282, 1639, 3499, 20449, 9921, 334, 14857, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 1551, 530, 17627, 4486, 282, 16765, 37682, 11925, 672, 9366, 4782, 5674, 265, 1408, 15508, 401, 16, 17005, 7194, 1421, 779, 2158, 18, 45690, 3327, 2086, 460, 280, 43249, 17055, 13749, 1423, 16789, 16, 367, 6342, 5367, 40598, 10076, 16, 8851, 581, 1484, 775, 778, 22974, 2725, 578, 23235, 332, 2306, 291, 16, 475, 42383, 18, 817, 2548, 16, 374, 685, 14158, 4413, 31802, 16, 367, 14267, 17029, 25583, 304, 18, 31224, 30, 630, 34838, 15140, 10076 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4013, 1452, 18, 832, 10849, 309, 10296, 17188, 7620, 20122, 7321, 16, 961, 23640, 36753, 2127, 15958, 18, 996, 16, 8851, 45940, 2241, 1057, 38, 1201, 6842, 868, 669, 7287, 297, 45114, 1496, 46621, 11031, 13526, 34232, 16, 329, 22603, 7340, 552, 33839, 10171, 272, 392, 1624, 1029, 17455, 519, 12138, 1612, 8892, 6700, 16795, 6948, 287, 17240, 18, 28456, 726, 685, 39493, 34232, 282, 16951, 384, 10335, 23, 6206, 18, 45114, 1496, 10322, 4318, 309, 1423, 30183, 2364, 4843, 46504, 3763, 16, 1715, 475, 10808, 3674, 16, 1271, 743, 15513, 16, 37963, 11043, 620, 6835, 17, 29596, 22004, 1683, 13028, 748, 3418, 3924, 18, 4843, 2479, 27, 3763, 16, 334, 35854, 395, 17764, 1234, 15725, 7657, 2335, 16, 25627, 309, 19536, 668, 20775, 18, 28462, 45940, 2241, 1021, 1753, 716, 4102, 17, 52, 2718, 1950, 2776, 326, 727, 278, 1838, 324, 1038, 46621, 11031, 282, 21540, 766, 2145, 360, 17240, 48846, 18, 727, 278, 1838, 324, 49266, 1097, 22897, 12797, 6520, 360, 7340, 712, 5002, 807, 298, 34605, 3045, 18, 5181, 16, 1055, 16555, 322, 281, 4065, 289, 4226, 19683, 22714, 14248, 2496, 5963, 678, 27866, 281, 19167, 3924, 478, 4348, 764, 10585, 3413, 289, 15831, 406, 870, 15811, 861, 35191, 356, 320, 669, 50020, 4048, 46623, 16, 1586, 1974, 281, 13847, 1623, 720, 14313, 3347, 3197, 2206, 449, 285, 37399, 473, 59, 4962, 1234, 15630, 13300, 42165, 934, 46621, 11031, 282, 21540, 766, 360, 17240, 2124, 12090, 8392, 266, 18, 4048, 46623, 49266, 6700, 16795, 6948, 344, 17240, 3911, 454, 37539, 2272, 300, 306, 18, 3739, 519, 2742, 10144, 678, 1576, 12143, 290, 16115, 25645, 4843, 3324, 3763, 309, 1423, 9184, 11343, 30183, 18, 18098, 451, 5476, 478, 822, 30584, 771, 263, 1748, 746, 470, 985, 687, 4732, 8388, 1920, 16661, 17541, 16, 2438, 3665, 290, 25307, 21449, 7620, 478, 822, 30584, 771, 263, 1748, 746, 910, 24405, 2822, 13605, 24165, 23603, 360, 12963, 9730, 356, 25200, 2632, 519, 520, 50065, 9391, 424, 19167, 4455, 6309, 360, 478, 296, 2315, 346, 5439, 910, 24562, 17411, 289, 32362, 17773, 14190, 16, 14225, 2545, 17757, 15442, 7321, 1188, 15499, 758, 44795, 18, 29976, 2610, 1559, 36186, 6147, 38162, 45428, 262, 1624, 17951, 1510, 360, 31255, 700, 18, 28616, 7788, 978, 1927, 22305, 14210, 718, 11268, 15371, 38345, 282, 9541, 17, 27394, 3056, 726, 309, 14183, 10296, 18, 478, 822, 20671, 771, 263, 1748, 746, 910, 2805, 309, 10649, 1728, 42855, 16, 17627, 1374, 23125, 6425, 282, 3097, 496, 351, 440, 32707, 16, 289, 16410, 45428, 262, 44557, 20928, 5335, 334, 2733, 9815, 277, 16, 453, 575, 428, 289, 13125, 564, 39493, 13340, 2776, 823, 318, 4758, 478, 3181, 434, 470, 20449, 510, 2689, 382, 17615, 718, 13009, 1651, 382, 20678, 326, 18, 365, 722, 23991, 30682, 7614, 22744, 8955, 36186, 6147, 16608, 8129, 375, 266, 16, 2024, 48348, 7788, 30010, 536, 21340, 478, 822, 30584, 771, 263, 1748, 746, 470, 282, 14788, 28079, 18, 1268, 17240, 403, 6137, 273, 382, 685, 9272, 282, 21540, 766, 472, 16270, 2227, 16, 5104, 9798, 20449, 282, 32712, 2145, 472, 853, 43430, 1624, 42969, 1081, 16062, 1133, 30044, 1755, 288, 5049, 779, 12797, 6520, 1467, 4681, 4048, 13086, 392, 18, 2263, 4048, 273, 5944, 685, 749, 5197, 27991, 6896, 360, 439, 3394, 2899, 309, 6940, 1573, 3729, 305, 883, 3017, 16, 1029, 16, 428, 492, 28035, 16, 4040, 541, 1047, 12651, 18, 608, 1766, 5966, 2438, 13270, 16, 2486, 35150, 38783, 21821, 282, 23991, 459, 9589, 416, 267, 30, 10404, 12797, 1347, 16, 2486, 17455, 785, 17, 299, 30667, 8478, 23127, 1642, 16, 24687, 36186, 6147, 9840, 403, 2688, 18, 403, 2688, 17060, 5841, 454, 329, 7340, 354, 5527, 440, 30256, 3306, 6041, 16, 349, 2024, 349, 1272, 2299, 519, 10144, 282, 34456, 9665, 5112, 2437, 41309, 21821, 18, 36753, 1162, 10343, 297, 29621, 16, 282, 1754, 5063, 862, 16, 374, 30256, 3306, 948, 5931, 282, 381, 2430, 3849, 32586, 4481, 547, 20172, 16, 4590, 342, 11290, 27594, 282, 970, 2875, 289, 35438, 36958, 47098, 16, 5915, 7081, 1280, 1174, 274, 2989, 19187, 4830, 18, 403, 2688, 17060, 322, 687, 1573, 3729, 305, 883, 3017, 18, 18619, 349, 1047, 36695, 309, 478, 1124, 1144, 432, 10296, 470, 12797, 1347, 16, 1029, 1943, 840, 2264, 2888, 7354, 743, 16853, 1011, 32870, 10404, 18, 8071, 779, 2158, 481, 1756, 17455, 47364, 39493, 4280, 304, 5274, 4168, 28098, 2792, 368, 1155, 45248, 4671, 4807, 16, 1029, 322, 1559, 26184, 319, 1423, 37917, 18, 403, 2688, 16, 2733, 2175, 16, 4040, 13323, 17, 277, 16062, 3347, 282, 25881, 5271, 12797, 354, 18, 889, 764, 1143, 11524, 3213, 13354, 6937, 32870, 1624, 1586, 567, 808, 478, 409, 9793, 20645, 770, 1600, 368, 470, 510, 282, 2849, 1251, 13125, 1525, 289, 289, 324, 272, 24174, 2206, 4090, 9536, 44922, 510, 3207, 373, 2245, 3493, 1817, 1634, 11755, 10944, 18, 1787, 1794, 1491, 1080, 434, 5743, 8166, 478, 32804, 1991, 2315, 10093, 470, 282, 5259, 12607, 282, 14788, 28079, 18, 5592, 465, 635, 8471, 13270, 309, 32989, 2557, 16, 28593, 1215, 12358, 14355, 2632, 16, 19683, 20449, 360, 36753, 680, 4623, 10167, 9880, 8367, 1624, 349, 2024, 7556, 2437, 1682, 6406, 378, 4013, 1452, 289, 722, 14703, 334, 478, 822, 1384, 954, 771, 263, 1748, 746, 861, 824, 3761, 309, 491, 18, 3161, 44311, 1612, 473, 29, 18, 3161, 21014, 934, 492, 33513, 281, 6603, 9, 15636, 263, 14294, 523, 1465, 16, 16062, 582, 16, 17951, 1027, 309, 11031, 428, 37904, 280, 1384, 16093, 18, 1253, 10047, 11166, 9, 12607, 16, 7340, 7376, 16555, 6140, 818, 4402, 266, 1532, 268, 510, 687, 2706, 5999, 14541, 432, 10445, 4128, 19188, 16, 16289, 538, 14294, 523, 1465, 2125, 898, 7557, 24554, 1855, 722, 3499, 282, 33298, 337, 16, 289, 1205, 758, 411, 1129, 23160, 687, 518, 16, 282, 1639, 3499, 20449, 9921, 334, 14857, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 1551, 530, 17627, 4486, 282, 16765, 37682, 11925, 672, 9366, 4782, 5674, 265, 1408, 15508, 401, 16, 17005, 7194, 1421, 779, 2158, 18, 45690, 3327, 2086, 460, 280, 43249, 17055, 13749, 1423, 16789, 16, 367, 6342, 5367, 40598, 10076, 16, 8851, 581, 1484, 775, 778, 22974, 2725, 578, 23235, 332, 2306, 291, 16, 475, 42383, 18, 817, 2548, 16, 374, 685, 14158, 4413, 31802, 16, 367, 14267, 17029, 25583, 304, 18, 31224, 30, 630, 34838, 15140, 10076 ]
[ 37682, 334, 7117, 13842, 9942, 23359, 11925, 672, 45062, 9366, 4782, 5674, 265, 1408, 15508, 401, 35097, 2959, 7685, 11415, 712, 455, 764, 282, 3998, 3597, 16, 367, 282, 10666, 282, 43788, 267, 14347, 15162, 7015, 6612, 564, 14132, 1101, 334, 18123, 18, 5674, 265, 1408, 15508, 291, 685, 360, 25976, 488, 1390, 411, 45062, 282, 7522, 282, 11366, 5653, 779, 289, 20695, 637, 294, 994, 2209, 8933, 16, 1586, 6347, 5656, 1743, 290, 50128, 18, 12824, 411, 30650, 685, 48891, 33498, 48953, 2241, 478, 38960, 513, 478, 1182, 375, 1246, 470, 9027, 6329, 321, 748, 2725, 27756, 1231, 18, 4635, 281, 2184, 8344, 15155, 16619, 5674, 265, 1408, 15508, 401, 16, 6881, 282, 43130, 18, 4802, 3169, 685, 17005, 637, 309, 4625, 1845, 620, 13209, 343, 4055, 3597, 5653, 779, 16, 30357, 1087, 348, 420, 2116, 16974, 14013, 19869, 18, 23412, 2610, 8150, 13391, 5273, 19361, 17981, 45062, 2725, 11528, 23235, 332, 2306, 401, 18, 3727, 12015, 742, 24979, 9020, 441, 277, 273, 645, 718, 3700, 45062, 23235, 332, 2306, 291, 289, 5674, 265, 1408, 15508, 291, 898, 19394, 16, 515, 1715, 322, 42210, 18, 478, 5798, 417, 32667, 294, 21004, 282, 11872, 5653, 779, 16, 492, 4848, 16, 374, 2725, 578, 23235, 332, 2306, 291, 9414, 29441, 281, 1498, 15021, 16, 28409, 13561, 1133, 3361, 289, 939, 37275, 8344, 16, 2486, 492, 6347, 1788, 910, 510, 4848, 282, 12564, 18100, 1510, 510, 21701, 5020, 31802, 2725, 6005, 5674, 265, 1408, 15508, 291, 16, 1029, 1320, 4452, 18629, 5772, 18, 824, 7475, 17981, 16, 23235, 332, 2306, 291, 4223, 309, 5674, 265, 1408, 15508, 401, 17, 9412, 1081, 334, 21550, 33213, 478, 40872, 1731, 2725, 27756, 8582, 910, 5173, 2024, 639, 40226, 40018, 360, 14132, 28375, 18, 10351, 33695, 8409, 6020, 343, 25371, 309, 1907, 1101, 16, 515, 1500, 9473, 18, 824, 3163, 505, 27030, 7680, 16, 541, 5674, 265, 1408, 15508, 401, 17, 9412, 1081, 481, 1743, 639, 13337, 3276, 30, 9770, 1978, 857, 975, 18484, 357, 309, 2768, 282, 10118, 994, 3774, 8554, 473, 1009, 15683, 934, 827, 14781, 840, 34377, 20619, 18, 478, 1140, 23235, 332, 2306, 401, 14575, 47677, 294, 5674, 265, 1408, 15508, 11118, 289, 5961, 28902, 16, 411, 17, 431, 1660, 492, 5962, 3003, 13848, 505, 11910, 910, 510, 3291, 343, 3391, 22974, 14013, 19869, 18, 478, 6890, 659, 9466, 35908, 910, 510, 7479, 477, 1728, 2223, 25236, 23235, 332, 2306, 401, 18, 478, 21751, 482, 3214, 477, 2200, 23052, 35954, 13432, 492, 38041, 3010, 8150, 16, 6524, 659, 35954, 14457, 4843, 3324, 2634, 910, 510, 30277, 11637, 1087, 348, 420, 2116, 18, 5351, 2679, 35954, 512, 510, 477, 23418, 742, 10076, 16, 4426, 5076, 18629, 7768, 3225, 505, 26877, 18, 817, 16083, 281, 22131, 416, 764, 8802, 5049, 779, 16, 3465, 17187, 1279, 23235, 332, 2306, 401, 289, 1888, 1629, 1051, 18, 35954, 3583, 641, 30302, 282, 13186, 978, 779, 16, 492, 3619, 1912, 986, 15978, 18, 985, 8977, 309, 11073, 282, 10666, 22974, 14013, 19869, 16, 505, 764, 322, 10469, 1542, 589, 1519, 411, 35524, 478, 27064, 648, 1162, 6733, 5461, 910, 453, 374, 309, 3709, 411, 40240, 35954, 3583, 2797, 331, 3231, 282, 12564, 282, 3106, 40178, 18, 35954, 512, 16, 334, 7475, 14267, 16, 6089, 43343, 10076, 14543, 383, 401, 510, 23020, 613, 411, 2263, 12646, 16, 1029, 7214, 17005, 10062, 16634, 349, 4843, 4691, 4500, 18, 3791, 282, 16765, 13382, 439, 3497, 609, 16, 1029, 424, 1386, 364, 4326, 8367, 289, 22499, 1141, 41121, 37682, 18, 817, 3619, 4843, 2479, 4500, 2211, 764, 4843, 3114, 4500, 18, 35954, 512, 8731, 1190, 18, 7909, 1629, 1157, 15607, 8258, 5674, 265, 1408, 15508, 401, 309, 44763, 329, 18887, 478, 6014, 8812, 32637, 910, 988, 3942, 25167, 13725, 16, 515, 322, 11614, 16, 428, 492, 14119, 18, 4149, 3711, 15092, 2280, 9476, 16, 289, 282, 6031, 4326, 40577, 13473, 349, 18629, 5772, 294, 8453, 392, 478, 983, 333, 10502, 3481, 2611, 470, 309, 1845, 620, 13209, 582, 18, 5674, 265, 1408, 15508, 291, 14114, 300, 1595, 715, 18212, 89, 11694, 21182, 1902, 561, 13855, 16, 785, 294, 3130, 38735, 14543, 17055, 289, 5270, 445, 25440, 282, 2398, 18, 4802, 3169, 16342, 309, 2468, 18, 985, 20496, 282, 12564, 505, 5020, 16, 282, 481, 808, 282, 478, 983, 333, 29875, 3481, 10132, 470, 8679, 300, 18608, 5674, 265, 1408, 15508, 401, 16, 1320, 26548, 18, 45368, 411, 24601, 16, 492, 3837, 16, 374, 14114, 343, 23718, 2773, 16, 515, 1329, 322, 23588, 2538, 289, 14119, 18, 365, 3427, 492, 6851, 16, 374, 7808, 505, 29381, 13877, 18, 2263, 5674, 265, 1408, 15508, 291, 17, 39121, 3619, 26331, 290, 3422, 7680, 334, 8352, 18, 1397, 5327, 1101, 2725, 27756, 8582, 16, 502, 2650, 639, 6347, 9368, 16, 289, 282, 5049, 1045, 40018, 5412, 19412, 294, 7518, 281, 16401, 17912, 15978, 18, 28462, 22974, 23235, 332, 2306, 291, 16, 2024, 18137, 282, 11872, 5049, 779, 16, 2815, 282, 12564, 290, 1360, 30685, 617, 18, 478, 1358, 281, 8980, 373, 14403, 16, 827, 373, 639, 282, 828, 16, 510, 8494, 492, 294, 32233, 289, 10117, 16, 33561, 282, 3049, 30, 510, 629, 12273, 2142, 49156, 1514, 1337, 334, 5083, 15133, 1873, 3422, 4158, 20066, 861, 1681, 24413, 10823, 16, 46520, 30979, 322, 4345, 428, 334, 3946, 16, 27834, 16, 374, 478, 348, 10042, 281, 9366, 46142, 289, 4292, 7791, 505, 282, 14577, 411, 21804, 910, 367, 322, 411, 20271, 7126, 9623, 18, 478, 983, 1155, 3153, 768, 15405, 17, 780, 3363, 552, 16, 374, 281, 4249, 1882, 322, 4417, 1101, 910, 510, 13879, 3064, 5674, 265, 1408, 15508, 291, 17, 39121, 18, 478, 1358, 768, 15405, 17, 780, 3363, 354, 281, 4183, 7663, 2060, 5, 1303, 505, 6597, 16, 505, 5020, 17814, 6221, 42664, 5077, 18, 7914, 3665, 16, 374, 349, 1135, 768, 15405, 17, 25575, 1155, 910, 510, 35510, 411, 17, 431, 836, 637, 1994, 26921, 16667, 12736, 23235, 332, 2306, 291, 18, 31818, 7974, 15528, 2674, 16, 428, 289, 475, 3523, 16807, 2508, 16, 31785, 709, 282, 7351, 300, 582, 6020, 523, 289, 18519, 478, 960, 2374, 1954, 8331, 4502, 16667, 1101, 861, 1937, 3678, 32268, 519, 41629, 439, 3497, 1043, 16, 492, 2715, 16, 374, 26136, 16789, 478, 19810, 282, 970, 16, 374, 322, 3828, 290, 47246, 36587, 910, 515, 965, 477, 23418, 2409, 322, 5273, 18, 14543, 17055, 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 ]
[ 37682, 334, 7117, 13842, 9942, 23359, 11925, 672, 45062, 9366, 4782, 5674, 265, 1408, 15508, 401, 35097, 2959, 7685, 11415, 712, 455, 764, 282, 3998, 3597, 16, 367, 282, 10666, 282, 43788, 267, 14347, 15162, 7015, 6612, 564, 14132, 1101, 334, 18123, 18, 5674, 265, 1408, 15508, 291, 685, 360, 25976, 488, 1390, 411, 45062, 282, 7522, 282, 11366, 5653, 779, 289, 20695, 637, 294, 994, 2209, 8933, 16, 1586, 6347, 5656, 1743, 290, 50128, 18, 12824, 411, 30650, 685, 48891, 33498, 48953, 2241, 478, 38960, 513, 478, 1182, 375, 1246, 470, 9027, 6329, 321, 748, 2725, 27756, 1231, 18, 4635, 281, 2184, 8344, 15155, 16619, 5674, 265, 1408, 15508, 401, 16, 6881, 282, 43130, 18, 4802, 3169, 685, 17005, 637, 309, 4625, 1845, 620, 13209, 343, 4055, 3597, 5653, 779, 16, 30357, 1087, 348, 420, 2116, 16974, 14013, 19869, 18, 23412, 2610, 8150, 13391, 5273, 19361, 17981, 45062, 2725, 11528, 23235, 332, 2306, 401, 18, 3727, 12015, 742, 24979, 9020, 441, 277, 273, 645, 718, 3700, 45062, 23235, 332, 2306, 291, 289, 5674, 265, 1408, 15508, 291, 898, 19394, 16, 515, 1715, 322, 42210, 18, 478, 5798, 417, 32667, 294, 21004, 282, 11872, 5653, 779, 16, 492, 4848, 16, 374, 2725, 578, 23235, 332, 2306, 291, 9414, 29441, 281, 1498, 15021, 16, 28409, 13561, 1133, 3361, 289, 939, 37275, 8344, 16, 2486, 492, 6347, 1788, 910, 510, 4848, 282, 12564, 18100, 1510, 510, 21701, 5020, 31802, 2725, 6005, 5674, 265, 1408, 15508, 291, 16, 1029, 1320, 4452, 18629, 5772, 18, 824, 7475, 17981, 16, 23235, 332, 2306, 291, 4223, 309, 5674, 265, 1408, 15508, 401, 17, 9412, 1081, 334, 21550, 33213, 478, 40872, 1731, 2725, 27756, 8582, 910, 5173, 2024, 639, 40226, 40018, 360, 14132, 28375, 18, 10351, 33695, 8409, 6020, 343, 25371, 309, 1907, 1101, 16, 515, 1500, 9473, 18, 824, 3163, 505, 27030, 7680, 16, 541, 5674, 265, 1408, 15508, 401, 17, 9412, 1081, 481, 1743, 639, 13337, 3276, 30, 9770, 1978, 857, 975, 18484, 357, 309, 2768, 282, 10118, 994, 3774, 8554, 473, 1009, 15683, 934, 827, 14781, 840, 34377, 20619, 18, 478, 1140, 23235, 332, 2306, 401, 14575, 47677, 294, 5674, 265, 1408, 15508, 11118, 289, 5961, 28902, 16, 411, 17, 431, 1660, 492, 5962, 3003, 13848, 505, 11910, 910, 510, 3291, 343, 3391, 22974, 14013, 19869, 18, 478, 6890, 659, 9466, 35908, 910, 510, 7479, 477, 1728, 2223, 25236, 23235, 332, 2306, 401, 18, 478, 21751, 482, 3214, 477, 2200, 23052, 35954, 13432, 492, 38041, 3010, 8150, 16, 6524, 659, 35954, 14457, 4843, 3324, 2634, 910, 510, 30277, 11637, 1087, 348, 420, 2116, 18, 5351, 2679, 35954, 512, 510, 477, 23418, 742, 10076, 16, 4426, 5076, 18629, 7768, 3225, 505, 26877, 18, 817, 16083, 281, 22131, 416, 764, 8802, 5049, 779, 16, 3465, 17187, 1279, 23235, 332, 2306, 401, 289, 1888, 1629, 1051, 18, 35954, 3583, 641, 30302, 282, 13186, 978, 779, 16, 492, 3619, 1912, 986, 15978, 18, 985, 8977, 309, 11073, 282, 10666, 22974, 14013, 19869, 16, 505, 764, 322, 10469, 1542, 589, 1519, 411, 35524, 478, 27064, 648, 1162, 6733, 5461, 910, 453, 374, 309, 3709, 411, 40240, 35954, 3583, 2797, 331, 3231, 282, 12564, 282, 3106, 40178, 18, 35954, 512, 16, 334, 7475, 14267, 16, 6089, 43343, 10076, 14543, 383, 401, 510, 23020, 613, 411, 2263, 12646, 16, 1029, 7214, 17005, 10062, 16634, 349, 4843, 4691, 4500, 18, 3791, 282, 16765, 13382, 439, 3497, 609, 16, 1029, 424, 1386, 364, 4326, 8367, 289, 22499, 1141, 41121, 37682, 18, 817, 3619, 4843, 2479, 4500, 2211, 764, 4843, 3114, 4500, 18, 35954, 512, 8731, 1190, 18, 7909, 1629, 1157, 15607, 8258, 5674, 265, 1408, 15508, 401, 309, 44763, 329, 18887, 478, 6014, 8812, 32637, 910, 988, 3942, 25167, 13725, 16, 515, 322, 11614, 16, 428, 492, 14119, 18, 4149, 3711, 15092, 2280, 9476, 16, 289, 282, 6031, 4326, 40577, 13473, 349, 18629, 5772, 294, 8453, 392, 478, 983, 333, 10502, 3481, 2611, 470, 309, 1845, 620, 13209, 582, 18, 5674, 265, 1408, 15508, 291, 14114, 300, 1595, 715, 18212, 89, 11694, 21182, 1902, 561, 13855, 16, 785, 294, 3130, 38735, 14543, 17055, 289, 5270, 445, 25440, 282, 2398, 18, 4802, 3169, 16342, 309, 2468, 18, 985, 20496, 282, 12564, 505, 5020, 16, 282, 481, 808, 282, 478, 983, 333, 29875, 3481, 10132, 470, 8679, 300, 18608, 5674, 265, 1408, 15508, 401, 16, 1320, 26548, 18, 45368, 411, 24601, 16, 492, 3837, 16, 374, 14114, 343, 23718, 2773, 16, 515, 1329, 322, 23588, 2538, 289, 14119, 18, 365, 3427, 492, 6851, 16, 374, 7808, 505, 29381, 13877, 18, 2263, 5674, 265, 1408, 15508, 291, 17, 39121, 3619, 26331, 290, 3422, 7680, 334, 8352, 18, 1397, 5327, 1101, 2725, 27756, 8582, 16, 502, 2650, 639, 6347, 9368, 16, 289, 282, 5049, 1045, 40018, 5412, 19412, 294, 7518, 281, 16401, 17912, 15978, 18, 28462, 22974, 23235, 332, 2306, 291, 16, 2024, 18137, 282, 11872, 5049, 779, 16, 2815, 282, 12564, 290, 1360, 30685, 617, 18, 478, 1358, 281, 8980, 373, 14403, 16, 827, 373, 639, 282, 828, 16, 510, 8494, 492, 294, 32233, 289, 10117, 16, 33561, 282, 3049, 30, 510, 629, 12273, 2142, 49156, 1514, 1337, 334, 5083, 15133, 1873, 3422, 4158, 20066, 861, 1681, 24413, 10823, 16, 46520, 30979, 322, 4345, 428, 334, 3946, 16, 27834, 16, 374, 478, 348, 10042, 281, 9366, 46142, 289, 4292, 7791, 505, 282, 14577, 411, 21804, 910, 367, 322, 411, 20271, 7126, 9623, 18, 478, 983, 1155, 3153, 768, 15405, 17, 780, 3363, 552, 16, 374, 281, 4249, 1882, 322, 4417, 1101, 910, 510, 13879, 3064, 5674, 265, 1408, 15508, 291, 17, 39121, 18, 478, 1358, 768, 15405, 17, 780, 3363, 354, 281, 4183, 7663, 2060, 5, 1303, 505, 6597, 16, 505, 5020, 17814, 6221, 42664, 5077, 18, 7914, 3665, 16, 374, 349, 1135, 768, 15405, 17, 25575, 1155, 910, 510, 35510, 411, 17, 431, 836, 637, 1994, 26921, 16667, 12736, 23235, 332, 2306, 291, 18, 31818, 7974, 15528, 2674, 16, 428, 289, 475, 3523, 16807, 2508, 16, 31785, 709, 282, 7351, 300, 582, 6020, 523, 289, 18519, 478, 960, 2374, 1954, 8331, 4502, 16667, 1101, 861, 1937, 3678, 32268, 519, 41629, 439, 3497, 1043, 16, 492, 2715, 16, 374, 26136, 16789, 478, 19810, 282, 970, 16, 374, 322, 3828, 290, 47246, 36587, 910, 515, 965, 477, 23418, 2409, 322, 5273, 18, 14543, 17055, 16 ]
[ 2024, 36560, 6881, 2417, 29250, 10076, 16, 309, 1247, 290, 9353, 617, 13327, 2715, 3671, 263, 30, 478, 4670, 885, 306, 861, 632, 1501, 520, 492, 2726, 1347, 10076, 16, 4326, 3327, 21269, 5747, 16, 785, 13034, 341, 294, 26099, 33014, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11946, 309, 7626, 8775, 22643, 3424, 7451, 50116, 775, 548, 18, 365, 4586, 7126, 1664, 13468, 16, 428, 5095, 26646, 10786, 5792, 16, 20146, 1033, 9433, 1135, 18, 42041, 2800, 419, 553, 1581, 11905, 467, 11113, 2848, 8362, 45970, 11908, 726, 1033, 5576, 18, 10110, 22643, 47869, 429, 5675, 948, 409, 1832, 32170, 14777, 36412, 24252, 14050, 18034, 18, 31224, 30, 677, 12652, 432, 1069, 4678, 19762, 16, 13006, 659, 7734, 334, 22643, 282, 11946, 16, 7650, 3455, 1033, 9433, 1135, 18, 7758, 50116, 419, 553, 8056, 282, 594, 10705, 18, 14586, 10750, 6025, 13228, 46379, 13411, 289, 32051, 18802, 16, 3110, 21408, 18, 365, 10705, 385, 25805, 1620, 17, 476, 17, 12003, 509, 274, 16, 31578, 17, 476, 17, 36637, 44949, 289, 282, 11147, 2553, 13143, 39178, 12675, 2649, 15584, 2303, 16, 734, 321, 1742, 497, 1532, 289, 2393, 3674, 541, 445, 11494, 5183, 1663, 712, 18, 41297, 1505, 50116, 419, 783, 13487, 1011, 924, 16, 428, 7064, 2961, 48879, 5995, 309, 27095, 5616, 281, 816, 519, 816, 16, 22, 449, 455, 473, 25807, 430, 16, 21, 7307, 16, 9107, 3050, 29418, 4896, 3703, 27, 7307, 18, 510, 478, 18386, 18, 8381, 11523, 23654, 2156, 17245, 360, 11897, 8990, 30202, 18, 740, 481, 322, 7636, 857, 1874, 300, 38395, 18, 365, 11946, 309, 19908, 2662, 50116, 775, 712, 28096, 887, 12023, 24075, 16, 22142, 3222, 44690, 289, 11340, 783, 18, 10418, 1557, 662, 2954, 1038, 9466, 24535, 5296, 3140, 16, 676, 2543, 16, 3512, 289, 32341, 418, 3380, 549, 1372, 6233, 18, 10476, 2976, 4381, 7107, 10732, 289, 30649, 27526, 22597, 309, 7955, 7868, 282, 28138, 36082, 17, 9989, 289, 7561, 2422, 334, 15749, 16, 1029, 8192, 282, 2801, 1045, 18, 640, 5826, 7461, 42406, 4843, 6475, 5096, 18, 478, 3693, 374, 417, 1977, 1719, 35, 3379, 3014, 20831, 16, 349, 374, 417, 322, 1977, 1719, 5, 6023, 6332, 25568, 25061, 16, 5337, 2232, 25061, 16, 28609, 3140, 16, 10547, 18, 6023, 1513, 30409, 281, 37612, 18, 1345, 322, 282, 970, 9524, 16, 753, 8197, 16628, 2422, 334, 15749, 910, 510, 2548, 1951, 2016, 8296, 282, 6258, 17, 12775, 272, 1528, 2725, 12046, 6258, 552, 301, 18, 478, 25821, 2434, 1673, 291, 898, 1472, 12793, 910, 510, 738, 2385, 29721, 309, 19908, 2662, 16, 961, 34144, 396, 7432, 334, 922, 337, 347, 3551, 7999, 419, 282, 5214, 11113, 1081, 2001, 2553, 6258, 17, 12775, 272, 1528, 18, 824, 18980, 6233, 16, 309, 922, 337, 347, 3551, 7999, 419, 282, 11946, 24268, 1798, 576, 2364, 22651, 2634, 1135, 18, 365, 11147, 2553, 3580, 17392, 274, 11970, 2634, 19427, 3920, 8056, 1664, 2529, 5289, 12424, 44922, 289, 15810, 434, 5129, 16, 1011, 1660, 49191, 4195, 1453, 34144, 24661, 424, 19890, 8794, 15310, 7796, 1552, 18, 824, 18980, 6233, 16, 282, 46839, 20146, 2364, 6459, 1135, 16, 23444, 973, 281, 1807, 309, 24118, 34638, 448, 7569, 448, 8578, 18, 7699, 11009, 11400, 11767, 467, 282, 36539, 2159, 23716, 867, 16, 374, 2301, 5183, 1663, 712, 12062, 9961, 294, 19025, 306, 289, 46379, 2935, 597, 18, 365, 3580, 472, 1497, 355, 616, 17, 672, 14892, 3994, 1939, 17, 7745, 5183, 1663, 266, 18, 23347, 1135, 7757, 424, 5894, 16, 1586, 11638, 41842, 1248, 41660, 554, 16, 14923, 4934, 24118, 12764, 18, 824, 1629, 6710, 27273, 933, 5792, 16, 5630, 18581, 334, 3025, 4008, 9465, 4973, 44054, 18, 6831, 11443, 21036, 16937, 2059, 411, 19536, 432, 25533, 16, 1372, 1779, 567, 808, 46726, 30, 282, 1047, 13317, 19122, 2232, 28975, 16, 961, 13143, 15123, 541, 445, 11494, 5183, 1663, 712, 18, 640, 19035, 1733, 44661, 18695, 6976, 4830, 2553, 47869, 597, 5675, 948, 409, 1832, 31372, 12731, 6965, 309, 6287, 13420, 5576, 10980, 282, 46832, 18, 365, 10882, 9399, 18034, 719, 31237, 309, 14777, 36412, 24252, 16, 753, 17705, 6730, 282, 4008, 18, 4707, 15437, 11758, 12213, 16, 2454, 1453, 764, 519, 924, 16, 428, 13487, 33462, 50116, 419, 553, 16, 726, 10750, 4110, 17325, 26938, 5675, 948, 409, 1832, 309, 7109, 12153, 510, 281, 12662, 9, 519, 18452, 5999, 824, 4734, 14971, 16, 2197, 411, 10235, 4284, 13863, 722, 26938, 510, 6591, 29251, 16, 374, 32748, 4458, 11343, 10471, 4186, 18, 2949, 924, 16, 18019, 5985, 289, 38185, 7019, 9526, 7234, 16, 481, 349, 755, 429, 41947, 7794, 3741, 7898, 1801, 18, 2667, 4319, 1326, 329, 5675, 948, 409, 1832, 685, 1176, 411, 3322, 12647, 11791, 1798, 40520, 5606, 1562, 282, 2968, 18, 35353, 2301, 5183, 1663, 712, 14872, 7190, 11141, 7663, 281, 14158, 27833, 16, 961, 322, 10302, 294, 8711, 1147, 44509, 1347, 552, 5675, 948, 409, 1832, 18, 2, 1, 87, 1456, 81, 2448, 30, 12134, 4749, 2238, 2016, 27803, 434, 12183, 5035, 35109, 34031, 27458, 282, 1551, 309, 13279, 4830, 16, 10180, 6954, 505, 282, 914, 1041, 4062, 292, 289, 683, 1161, 38360, 553, 18, 4579, 342, 44514, 12698, 16, 374, 282, 11872, 4145, 779, 28565, 40934, 18973, 722, 18, 2877, 492, 8232, 47099, 43301, 23082, 18, 31224, 30, 12134, 4749, 2238, 2016, 27803, 434, 12183, 5035, 35109, 34031, 27458, 282, 1551, 309, 4830, 2145, 18, 4579, 342, 44514, 10180, 3391, 20840, 4000, 282, 970, 16, 374, 492, 18973, 722, 749, 14665, 567, 808, 27803, 432, 9870, 567, 31255, 476, 282, 4145, 1045, 18, 478, 1358, 9847, 10765, 965, 453, 16, 2521, 11060, 701, 19025, 306, 16, 1548, 374, 417, 322, 22472, 289, 322, 5404, 978, 16, 510, 24256, 977, 4579, 342, 44514, 1273, 19882, 22172, 18, 651, 608, 703, 519, 4319, 1326, 2353, 1188, 3955, 12030, 16, 428, 505, 6395, 18869, 802, 294, 8722, 9161, 861, 985, 21890, 44514, 282, 3177, 1263, 263, 16, 36176, 28565, 12139, 722, 349, 2507, 289, 9139, 364, 294, 1190, 16, 753, 36614, 282, 6395, 16, 1011, 1660, 14084, 43321, 16291, 434, 12183, 16, 2983, 30246, 309, 1500, 2083, 282, 3026, 1035, 16, 567, 31255, 476, 18, 824, 3163, 4109, 16, 481, 4243, 3436, 4160, 4145, 779, 18, 1253, 30715, 16, 374, 5723, 33497, 2398, 16, 453, 374, 24586, 45059, 309, 30216, 722, 2350, 18, 824, 3163, 4579, 560, 44514, 16, 481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2024, 36560, 6881, 2417, 29250, 10076, 16, 309, 1247, 290, 9353, 617, 13327, 2715, 3671, 263, 30, 478, 4670, 885, 306, 861, 632, 1501, 520, 492, 2726, 1347, 10076, 16, 4326, 3327, 21269, 5747, 16, 785, 13034, 341, 294, 26099, 33014, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11946, 309, 7626, 8775, 22643, 3424, 7451, 50116, 775, 548, 18, 365, 4586, 7126, 1664, 13468, 16, 428, 5095, 26646, 10786, 5792, 16, 20146, 1033, 9433, 1135, 18, 42041, 2800, 419, 553, 1581, 11905, 467, 11113, 2848, 8362, 45970, 11908, 726, 1033, 5576, 18, 10110, 22643, 47869, 429, 5675, 948, 409, 1832, 32170, 14777, 36412, 24252, 14050, 18034, 18, 31224, 30, 677, 12652, 432, 1069, 4678, 19762, 16, 13006, 659, 7734, 334, 22643, 282, 11946, 16, 7650, 3455, 1033, 9433, 1135, 18, 7758, 50116, 419, 553, 8056, 282, 594, 10705, 18, 14586, 10750, 6025, 13228, 46379, 13411, 289, 32051, 18802, 16, 3110, 21408, 18, 365, 10705, 385, 25805, 1620, 17, 476, 17, 12003, 509, 274, 16, 31578, 17, 476, 17, 36637, 44949, 289, 282, 11147, 2553, 13143, 39178, 12675, 2649, 15584, 2303, 16, 734, 321, 1742, 497, 1532, 289, 2393, 3674, 541, 445, 11494, 5183, 1663, 712, 18, 41297, 1505, 50116, 419, 783, 13487, 1011, 924, 16, 428, 7064, 2961, 48879, 5995, 309, 27095, 5616, 281, 816, 519, 816, 16, 22, 449, 455, 473, 25807, 430, 16, 21, 7307, 16, 9107, 3050, 29418, 4896, 3703, 27, 7307, 18, 510, 478, 18386, 18, 8381, 11523, 23654, 2156, 17245, 360, 11897, 8990, 30202, 18, 740, 481, 322, 7636, 857, 1874, 300, 38395, 18, 365, 11946, 309, 19908, 2662, 50116, 775, 712, 28096, 887, 12023, 24075, 16, 22142, 3222, 44690, 289, 11340, 783, 18, 10418, 1557, 662, 2954, 1038, 9466, 24535, 5296, 3140, 16, 676, 2543, 16, 3512, 289, 32341, 418, 3380, 549, 1372, 6233, 18, 10476, 2976, 4381, 7107, 10732, 289, 30649, 27526, 22597, 309, 7955, 7868, 282, 28138, 36082, 17, 9989, 289, 7561, 2422, 334, 15749, 16, 1029, 8192, 282, 2801, 1045, 18, 640, 5826, 7461, 42406, 4843, 6475, 5096, 18, 478, 3693, 374, 417, 1977, 1719, 35, 3379, 3014, 20831, 16, 349, 374, 417, 322, 1977, 1719, 5, 6023, 6332, 25568, 25061, 16, 5337, 2232, 25061, 16, 28609, 3140, 16, 10547, 18, 6023, 1513, 30409, 281, 37612, 18, 1345, 322, 282, 970, 9524, 16, 753, 8197, 16628, 2422, 334, 15749, 910, 510, 2548, 1951, 2016, 8296, 282, 6258, 17, 12775, 272, 1528, 2725, 12046, 6258, 552, 301, 18, 478, 25821, 2434, 1673, 291, 898, 1472, 12793, 910, 510, 738, 2385, 29721, 309, 19908, 2662, 16, 961, 34144, 396, 7432, 334, 922, 337, 347, 3551, 7999, 419, 282, 5214, 11113, 1081, 2001, 2553, 6258, 17, 12775, 272, 1528, 18, 824, 18980, 6233, 16, 309, 922, 337, 347, 3551, 7999, 419, 282, 11946, 24268, 1798, 576, 2364, 22651, 2634, 1135, 18, 365, 11147, 2553, 3580, 17392, 274, 11970, 2634, 19427, 3920, 8056, 1664, 2529, 5289, 12424, 44922, 289, 15810, 434, 5129, 16, 1011, 1660, 49191, 4195, 1453, 34144, 24661, 424, 19890, 8794, 15310, 7796, 1552, 18, 824, 18980, 6233, 16, 282, 46839, 20146, 2364, 6459, 1135, 16, 23444, 973, 281, 1807, 309, 24118, 34638, 448, 7569, 448, 8578, 18, 7699, 11009, 11400, 11767, 467, 282, 36539, 2159, 23716, 867, 16, 374, 2301, 5183, 1663, 712, 12062, 9961, 294, 19025, 306, 289, 46379, 2935, 597, 18, 365, 3580, 472, 1497, 355, 616, 17, 672, 14892, 3994, 1939, 17, 7745, 5183, 1663, 266, 18, 23347, 1135, 7757, 424, 5894, 16, 1586, 11638, 41842, 1248, 41660, 554, 16, 14923, 4934, 24118, 12764, 18, 824, 1629, 6710, 27273, 933, 5792, 16, 5630, 18581, 334, 3025, 4008, 9465, 4973, 44054, 18, 6831, 11443, 21036, 16937, 2059, 411, 19536, 432, 25533, 16, 1372, 1779, 567, 808, 46726, 30, 282, 1047, 13317, 19122, 2232, 28975, 16, 961, 13143, 15123, 541, 445, 11494, 5183, 1663, 712, 18, 640, 19035, 1733, 44661, 18695, 6976, 4830, 2553, 47869, 597, 5675, 948, 409, 1832, 31372, 12731, 6965, 309, 6287, 13420, 5576, 10980, 282, 46832, 18, 365, 10882, 9399, 18034, 719, 31237, 309, 14777, 36412, 24252, 16, 753, 17705, 6730, 282, 4008, 18, 4707, 15437, 11758, 12213, 16, 2454, 1453, 764, 519, 924, 16, 428, 13487, 33462, 50116, 419, 553, 16, 726, 10750, 4110, 17325, 26938, 5675, 948, 409, 1832, 309, 7109, 12153, 510, 281, 12662, 9, 519, 18452, 5999, 824, 4734, 14971, 16, 2197, 411, 10235, 4284, 13863, 722, 26938, 510, 6591, 29251, 16, 374, 32748, 4458, 11343, 10471, 4186, 18, 2949, 924, 16, 18019, 5985, 289, 38185, 7019, 9526, 7234, 16, 481, 349, 755, 429, 41947, 7794, 3741, 7898, 1801, 18, 2667, 4319, 1326, 329, 5675, 948, 409, 1832, 685, 1176, 411, 3322, 12647, 11791, 1798, 40520, 5606, 1562, 282, 2968, 18, 35353, 2301, 5183, 1663, 712, 14872, 7190, 11141, 7663, 281, 14158, 27833, 16, 961, 322, 10302, 294, 8711, 1147, 44509, 1347, 552, 5675, 948, 409, 1832, 18, 2, 1, 87, 1456, 81, 2448, 30, 12134, 4749, 2238, 2016, 27803, 434, 12183, 5035, 35109, 34031, 27458, 282, 1551, 309, 13279, 4830, 16, 10180, 6954, 505, 282, 914, 1041, 4062, 292, 289, 683, 1161, 38360, 553, 18, 4579, 342, 44514, 12698, 16, 374, 282, 11872, 4145, 779, 28565, 40934, 18973, 722, 18, 2877, 492, 8232, 47099, 43301, 23082, 18, 31224, 30, 12134, 4749, 2238, 2016, 27803, 434, 12183, 5035, 35109, 34031, 27458, 282, 1551, 309, 4830, 2145, 18, 4579, 342, 44514, 10180, 3391, 20840, 4000, 282, 970, 16, 374, 492, 18973, 722, 749, 14665, 567, 808, 27803, 432, 9870, 567, 31255, 476, 282, 4145, 1045, 18, 478, 1358, 9847, 10765, 965, 453, 16, 2521, 11060, 701, 19025, 306, 16, 1548, 374, 417, 322, 22472, 289, 322, 5404, 978, 16, 510, 24256, 977, 4579, 342, 44514, 1273, 19882, 22172, 18, 651, 608, 703, 519, 4319, 1326, 2353, 1188, 3955, 12030, 16, 428, 505, 6395, 18869, 802, 294, 8722, 9161, 861, 985, 21890, 44514, 282, 3177, 1263, 263, 16, 36176, 28565, 12139, 722, 349, 2507, 289, 9139, 364, 294, 1190, 16, 753, 36614, 282, 6395, 16, 1011, 1660, 14084, 43321, 16291, 434, 12183, 16, 2983, 30246, 309, 1500, 2083, 282, 3026, 1035, 16, 567, 31255, 476, 18, 824, 3163, 4109, 16, 481, 4243, 3436, 4160, 4145, 779, 18, 1253, 30715, 16, 374, 5723, 33497, 2398, 16, 453, 374, 24586, 45059, 309, 30216, 722, 2350, 18, 824, 3163, 4579, 560, 44514, 16, 481 ]
[ 639, 478, 32804, 320, 1663, 315, 289, 30092, 3214, 861, 25652, 17, 15975, 23127, 1642, 10319, 6258, 46871, 4881, 5779, 475, 14267, 16, 30494, 4579, 1406, 6258, 46871, 282, 4459, 4830, 30, 678, 25824, 697, 478, 2851, 4288, 3663, 567, 3025, 901, 409, 861, 478, 1605, 3134, 2002, 322, 639, 16, 289, 481, 8671, 639, 41847, 19848, 14986, 3872, 7095, 758, 43545, 910, 510, 9321, 5854, 2016, 23127, 1642, 282, 23032, 541, 1273, 19882, 22172, 18, 4530, 867, 16, 4579, 342, 44514, 12698, 16, 374, 282, 1500, 575, 1119, 10703, 290, 41418, 4453, 3800, 399, 987, 554, 16, 367, 1038, 1436, 289, 360, 8563, 272, 651, 282, 27561, 282, 19882, 22172, 475, 9208, 23051, 481, 18, 2949, 924, 16, 678, 12698, 16, 374, 43545, 898, 378, 5830, 18947, 488, 16, 1586, 906, 1655, 47663, 10970, 620, 31255, 700, 16, 289, 1176, 411, 6814, 27803, 434, 12183, 34031, 16, 2686, 5826, 40178, 6815, 467, 16, 374, 25829, 1500, 26058, 18, 4579, 342, 44514, 5915, 4056, 13212, 16, 1586, 10180, 3391, 5035, 35109, 34031, 282, 5453, 10478, 11100, 28292, 16, 2486, 492, 15272, 1190, 567, 808, 34007, 14016, 4145, 779, 18, 30233, 1263, 282, 31974, 1551, 678, 27458, 282, 10666, 16, 2706, 3750, 30, 678, 29569, 3604, 39288, 349, 9546, 448, 16629, 18, 2949, 924, 16, 4579, 342, 44514, 4434, 2582, 5035, 35109, 34031, 18, 7743, 282, 970, 16, 374, 32073, 2238, 2016, 505, 27803, 434, 12183, 651, 867, 30021, 525, 16, 289, 1314, 678, 12698, 16, 374, 1450, 46469, 349, 722, 2768, 3440, 16, 828, 722, 19307, 41158, 25811, 9005, 18, 8894, 22903, 27803, 434, 12183, 5035, 35109, 34031, 13224, 426, 4048, 1605, 324, 307, 21890, 16, 374, 10744, 20120, 2238, 2203, 5773, 1794, 717, 4574, 318, 18, 365, 40966, 313, 13882, 4599, 294, 19772, 5035, 35109, 34031, 4434, 2853, 322, 445, 18, 365, 12354, 4145, 779, 282, 35025, 27803, 416, 14016, 475, 502, 575, 10958, 1273, 19882, 22172, 6489, 576, 39592, 23610, 16, 309, 2114, 36176, 28565, 289, 45436, 10857, 33730, 33025, 4266, 16059, 400, 290, 2177, 2165, 18, 7743, 3621, 282, 6982, 1045, 651, 4077, 16, 2282, 27780, 282, 2145, 30750, 15506, 16, 12665, 282, 29390, 567, 808, 13565, 6842, 8604, 289, 45436, 12873, 309, 28286, 1560, 22649, 478, 672, 1136, 37292, 282, 4800, 27153, 861, 365, 27561, 28565, 10799, 33025, 272, 290, 1360, 7386, 617, 13600, 2795, 8605, 1608, 6631, 289, 6517, 7229, 16, 374, 492, 895, 3779, 319, 1906, 2998, 294, 12730, 16, 281, 1754, 745, 2125, 898, 12981, 18, 478, 1358, 935, 322, 17885, 16, 510, 3153, 6842, 868, 16, 6600, 5229, 282, 970, 575, 6982, 1045, 309, 12857, 20350, 403, 18906, 267, 18, 651, 439, 785, 694, 13036, 16, 745, 1490, 481, 10842, 18, 1575, 6192, 2240, 374, 6922, 18, 768, 342, 6189, 697, 349, 17473, 622, 18, 27291, 2240, 374, 6922, 861, 36538, 783, 5703, 343, 22444, 6406, 8684, 39349, 282, 33937, 9981, 30, 5224, 1262, 289, 22062, 4608, 9529, 2089, 10680, 428, 18210, 282, 25834, 43547, 18802, 18, 46406, 350, 23610, 289, 15041, 3833, 1712, 505, 11891, 7134, 282, 1273, 19882, 22172, 349, 1272, 2299, 519, 43283, 744, 807, 712, 16, 961, 2125, 898, 6886, 1251, 5035, 433, 3663, 16078, 3258, 289, 505, 7739, 5793, 768, 15044, 312, 37701, 18, 28565, 19346, 282, 2630, 281, 2184, 8348, 16, 282, 2114, 9738, 8382, 349, 1617, 1694, 16, 2686, 322, 9096, 37740, 16, 374, 289, 9195, 768, 15044, 312, 37701, 26360, 30418, 1190, 5453, 10478, 1733, 24741, 282, 4459, 4717, 651, 8641, 492, 478, 297, 4978, 4465, 16, 961, 898, 4703, 5992, 470, 309, 4577, 541, 336, 36921, 16, 8380, 5375, 16078, 864, 18, 32141, 2077, 322, 856, 709, 309, 28563, 10144, 651, 28565, 475, 575, 30682, 8955, 16, 2686, 9708, 478, 1916, 342, 6189, 697, 349, 17473, 622, 470, 510, 478, 43, 18277, 6668, 1417, 463, 644, 6743, 93, 470, 510, 2438, 14228, 304, 16, 289, 19167, 3924, 1279, 2543, 34031, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 39914, 478, 31742, 455, 470, 4944, 1870, 669, 2106, 32745, 2823, 282, 25307, 1360, 4966, 1195, 478, 1098, 578, 3032, 470, 282, 590, 2711, 13770, 7977, 11202, 40793, 14378, 9460, 18, 3771, 3141, 685, 2695, 286, 16, 2686, 322, 17463, 1293, 19068, 25592, 289, 309, 24110, 17, 295, 20537, 33513, 1756, 309, 4577, 35166, 4966, 2777, 2977, 18, 31224, 30, 1098, 18920, 778, 478, 31742, 300, 470, 282, 590, 2711, 13770, 11202, 40793, 14378, 9460, 282, 25857, 50253, 478, 1098, 578, 267, 861, 24295, 39914, 7646, 4944, 1870, 669, 2106, 32745, 2823, 282, 4056, 38674, 1360, 4966, 16, 16999, 400, 13850, 4657, 272, 17878, 344, 6928, 312, 18, 2949, 924, 16, 282, 5271, 478, 343, 315, 307, 483, 470, 2401, 9528, 18377, 1394, 6258, 1042, 289, 24016, 11282, 2080, 440, 16, 367, 1215, 1870, 669, 2106, 3319, 6175, 353, 5415, 11168, 43837, 2175, 322, 10587, 18, 2326, 488, 356, 478, 1605, 271, 6047, 5675, 446, 470, 282, 28865, 409, 8214, 18569, 322, 3189, 2944, 18, 1937, 17, 299, 1336, 2117, 751, 26070, 7561, 5538, 16, 2297, 1020, 643, 523, 289, 7638, 17, 38915, 18, 2877, 478, 513, 3123, 318, 470, 19894, 802, 282, 14007, 460, 1035, 16, 5022, 9640, 9602, 6273, 282, 15291, 552, 289, 10408, 24322, 25969, 16, 282, 2588, 3216, 7757, 567, 2992, 11053, 3136, 34273, 5521, 29304, 3931, 18, 3557, 322, 2619, 16, 3609, 17, 27475, 276, 282, 5875, 21026, 9925, 17296, 349, 21923, 18, 459, 3621, 481, 567, 9246, 7285, 7492, 47192, 18, 1735, 289, 282, 9937, 309, 478, 1605, 271, 6047, 5675, 446, 470, 5892, 1475, 22322, 778, 478, 31742, 300, 910, 322, 12699, 1779, 46909, 478, 1098, 578, 267, 470, 282, 5572, 8267, 11202, 40793, 14378, 9460, 18, 8071, 26450, 3314, 27742, 496, 385, 5388, 844, 1265, 304, 289, 2777, 1212, 37811, 18700, 2948, 4056, 5790, 3541, 309, 478, 1605, 353, 1532, 19495, 470, 510, 430, 30, 21, 18, 824, 14857, 14452, 282, 1750, 537, 19090, 3029, 3151, 590, 2711, 7434, 18, 459, 478, 1098, 578, 267, 470, 1373, 685, 282, 2319, 1033, 6066, 15016, 9524, 16, 12425, 478, 12145, 1318, 910, 49302, 1510, 48372, 281, 478, 31538, 29238, 861, 478, 41059, 326, 2986, 470, 282, 6588, 360, 478, 27790, 470, 6281, 17674, 1642, 16, 367, 1514, 3665, 16, 17797, 13842, 26788, 3929, 282, 9460, 26531, 41445, 18, 24295, 39914, 478, 31742, 455, 470, 4944, 1870 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 478, 32804, 320, 1663, 315, 289, 30092, 3214, 861, 25652, 17, 15975, 23127, 1642, 10319, 6258, 46871, 4881, 5779, 475, 14267, 16, 30494, 4579, 1406, 6258, 46871, 282, 4459, 4830, 30, 678, 25824, 697, 478, 2851, 4288, 3663, 567, 3025, 901, 409, 861, 478, 1605, 3134, 2002, 322, 639, 16, 289, 481, 8671, 639, 41847, 19848, 14986, 3872, 7095, 758, 43545, 910, 510, 9321, 5854, 2016, 23127, 1642, 282, 23032, 541, 1273, 19882, 22172, 18, 4530, 867, 16, 4579, 342, 44514, 12698, 16, 374, 282, 1500, 575, 1119, 10703, 290, 41418, 4453, 3800, 399, 987, 554, 16, 367, 1038, 1436, 289, 360, 8563, 272, 651, 282, 27561, 282, 19882, 22172, 475, 9208, 23051, 481, 18, 2949, 924, 16, 678, 12698, 16, 374, 43545, 898, 378, 5830, 18947, 488, 16, 1586, 906, 1655, 47663, 10970, 620, 31255, 700, 16, 289, 1176, 411, 6814, 27803, 434, 12183, 34031, 16, 2686, 5826, 40178, 6815, 467, 16, 374, 25829, 1500, 26058, 18, 4579, 342, 44514, 5915, 4056, 13212, 16, 1586, 10180, 3391, 5035, 35109, 34031, 282, 5453, 10478, 11100, 28292, 16, 2486, 492, 15272, 1190, 567, 808, 34007, 14016, 4145, 779, 18, 30233, 1263, 282, 31974, 1551, 678, 27458, 282, 10666, 16, 2706, 3750, 30, 678, 29569, 3604, 39288, 349, 9546, 448, 16629, 18, 2949, 924, 16, 4579, 342, 44514, 4434, 2582, 5035, 35109, 34031, 18, 7743, 282, 970, 16, 374, 32073, 2238, 2016, 505, 27803, 434, 12183, 651, 867, 30021, 525, 16, 289, 1314, 678, 12698, 16, 374, 1450, 46469, 349, 722, 2768, 3440, 16, 828, 722, 19307, 41158, 25811, 9005, 18, 8894, 22903, 27803, 434, 12183, 5035, 35109, 34031, 13224, 426, 4048, 1605, 324, 307, 21890, 16, 374, 10744, 20120, 2238, 2203, 5773, 1794, 717, 4574, 318, 18, 365, 40966, 313, 13882, 4599, 294, 19772, 5035, 35109, 34031, 4434, 2853, 322, 445, 18, 365, 12354, 4145, 779, 282, 35025, 27803, 416, 14016, 475, 502, 575, 10958, 1273, 19882, 22172, 6489, 576, 39592, 23610, 16, 309, 2114, 36176, 28565, 289, 45436, 10857, 33730, 33025, 4266, 16059, 400, 290, 2177, 2165, 18, 7743, 3621, 282, 6982, 1045, 651, 4077, 16, 2282, 27780, 282, 2145, 30750, 15506, 16, 12665, 282, 29390, 567, 808, 13565, 6842, 8604, 289, 45436, 12873, 309, 28286, 1560, 22649, 478, 672, 1136, 37292, 282, 4800, 27153, 861, 365, 27561, 28565, 10799, 33025, 272, 290, 1360, 7386, 617, 13600, 2795, 8605, 1608, 6631, 289, 6517, 7229, 16, 374, 492, 895, 3779, 319, 1906, 2998, 294, 12730, 16, 281, 1754, 745, 2125, 898, 12981, 18, 478, 1358, 935, 322, 17885, 16, 510, 3153, 6842, 868, 16, 6600, 5229, 282, 970, 575, 6982, 1045, 309, 12857, 20350, 403, 18906, 267, 18, 651, 439, 785, 694, 13036, 16, 745, 1490, 481, 10842, 18, 1575, 6192, 2240, 374, 6922, 18, 768, 342, 6189, 697, 349, 17473, 622, 18, 27291, 2240, 374, 6922, 861, 36538, 783, 5703, 343, 22444, 6406, 8684, 39349, 282, 33937, 9981, 30, 5224, 1262, 289, 22062, 4608, 9529, 2089, 10680, 428, 18210, 282, 25834, 43547, 18802, 18, 46406, 350, 23610, 289, 15041, 3833, 1712, 505, 11891, 7134, 282, 1273, 19882, 22172, 349, 1272, 2299, 519, 43283, 744, 807, 712, 16, 961, 2125, 898, 6886, 1251, 5035, 433, 3663, 16078, 3258, 289, 505, 7739, 5793, 768, 15044, 312, 37701, 18, 28565, 19346, 282, 2630, 281, 2184, 8348, 16, 282, 2114, 9738, 8382, 349, 1617, 1694, 16, 2686, 322, 9096, 37740, 16, 374, 289, 9195, 768, 15044, 312, 37701, 26360, 30418, 1190, 5453, 10478, 1733, 24741, 282, 4459, 4717, 651, 8641, 492, 478, 297, 4978, 4465, 16, 961, 898, 4703, 5992, 470, 309, 4577, 541, 336, 36921, 16, 8380, 5375, 16078, 864, 18, 32141, 2077, 322, 856, 709, 309, 28563, 10144, 651, 28565, 475, 575, 30682, 8955, 16, 2686, 9708, 478, 1916, 342, 6189, 697, 349, 17473, 622, 470, 510, 478, 43, 18277, 6668, 1417, 463, 644, 6743, 93, 470, 510, 2438, 14228, 304, 16, 289, 19167, 3924, 1279, 2543, 34031, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 39914, 478, 31742, 455, 470, 4944, 1870, 669, 2106, 32745, 2823, 282, 25307, 1360, 4966, 1195, 478, 1098, 578, 3032, 470, 282, 590, 2711, 13770, 7977, 11202, 40793, 14378, 9460, 18, 3771, 3141, 685, 2695, 286, 16, 2686, 322, 17463, 1293, 19068, 25592, 289, 309, 24110, 17, 295, 20537, 33513, 1756, 309, 4577, 35166, 4966, 2777, 2977, 18, 31224, 30, 1098, 18920, 778, 478, 31742, 300, 470, 282, 590, 2711, 13770, 11202, 40793, 14378, 9460, 282, 25857, 50253, 478, 1098, 578, 267, 861, 24295, 39914, 7646, 4944, 1870, 669, 2106, 32745, 2823, 282, 4056, 38674, 1360, 4966, 16, 16999, 400, 13850, 4657, 272, 17878, 344, 6928, 312, 18, 2949, 924, 16, 282, 5271, 478, 343, 315, 307, 483, 470, 2401, 9528, 18377, 1394, 6258, 1042, 289, 24016, 11282, 2080, 440, 16, 367, 1215, 1870, 669, 2106, 3319, 6175, 353, 5415, 11168, 43837, 2175, 322, 10587, 18, 2326, 488, 356, 478, 1605, 271, 6047, 5675, 446, 470, 282, 28865, 409, 8214, 18569, 322, 3189, 2944, 18, 1937, 17, 299, 1336, 2117, 751, 26070, 7561, 5538, 16, 2297, 1020, 643, 523, 289, 7638, 17, 38915, 18, 2877, 478, 513, 3123, 318, 470, 19894, 802, 282, 14007, 460, 1035, 16, 5022, 9640, 9602, 6273, 282, 15291, 552, 289, 10408, 24322, 25969, 16, 282, 2588, 3216, 7757, 567, 2992, 11053, 3136, 34273, 5521, 29304, 3931, 18, 3557, 322, 2619, 16, 3609, 17, 27475, 276, 282, 5875, 21026, 9925, 17296, 349, 21923, 18, 459, 3621, 481, 567, 9246, 7285, 7492, 47192, 18, 1735, 289, 282, 9937, 309, 478, 1605, 271, 6047, 5675, 446, 470, 5892, 1475, 22322, 778, 478, 31742, 300, 910, 322, 12699, 1779, 46909, 478, 1098, 578, 267, 470, 282, 5572, 8267, 11202, 40793, 14378, 9460, 18, 8071, 26450, 3314, 27742, 496, 385, 5388, 844, 1265, 304, 289, 2777, 1212, 37811, 18700, 2948, 4056, 5790, 3541, 309, 478, 1605, 353, 1532, 19495, 470, 510, 430, 30, 21, 18, 824, 14857, 14452, 282, 1750, 537, 19090, 3029, 3151, 590, 2711, 7434, 18, 459, 478, 1098, 578, 267, 470, 1373, 685, 282, 2319, 1033, 6066, 15016, 9524, 16, 12425, 478, 12145, 1318, 910, 49302, 1510, 48372, 281, 478, 31538, 29238, 861, 478, 41059, 326, 2986, 470, 282, 6588, 360, 478, 27790, 470, 6281, 17674, 1642, 16, 367, 1514, 3665, 16, 17797, 13842, 26788, 3929, 282, 9460, 26531, 41445, 18, 24295, 39914, 478, 31742, 455, 470, 4944, 1870 ]
[ 669, 2106, 16, 428, 289, 282, 5572, 8267, 16, 4223, 282, 5344, 5271, 7586, 289, 13744, 290, 1190, 282, 2456, 3998, 5790, 18, 832, 5683, 289, 4256, 1879, 1011, 2411, 16596, 2595, 11287, 4809, 343, 30866, 428, 1870, 669, 2106, 11509, 5932, 8669, 416, 3012, 2607, 17878, 287, 6928, 312, 16, 289, 4657, 3257, 45300, 271, 22016, 665, 1034, 5983, 292, 831, 16, 30595, 2948, 282, 8267, 18, 478, 31742, 300, 470, 1590, 21899, 309, 2398, 7081, 21755, 16, 1830, 11347, 322, 12334, 3276, 32387, 473, 262, 828, 2548, 1830, 373, 13608, 309, 4577, 1870, 669, 12046, 814, 478, 6207, 315, 307, 394, 470, 282, 3998, 5790, 16590, 764, 1293, 22711, 25592, 16, 2686, 4289, 45813, 411, 1129, 1870, 669, 2106, 289, 36195, 363, 21551, 1408, 21001, 322, 7737, 18, 2101, 368, 343, 6147, 1011, 17696, 12959, 411, 1371, 323, 416, 6688, 3903, 6769, 37103, 3121, 282, 41311, 6421, 18, 2046, 1034, 5983, 292, 388, 360, 24624, 4445, 322, 687, 8460, 668, 20799, 18, 450, 766, 413, 3141, 282, 9026, 22666, 4744, 2557, 10587, 590, 1163, 1920, 289, 13190, 649, 11216, 18, 365, 4837, 1034, 2707, 890, 1011, 978, 3916, 862, 1472, 2361, 30, 478, 4182, 575, 453, 5433, 1665, 367, 1870, 669, 2106, 45402, 322, 8662, 334, 2560, 1616, 1011, 22615, 507, 924, 575, 1034, 2707, 890, 281, 924, 575, 28065, 16208, 486, 18, 3771, 3141, 6820, 309, 5625, 1762, 3430, 680, 16, 515, 7351, 7163, 15702, 282, 42808, 322, 2564, 18, 12431, 2200, 3498, 35881, 16530, 21365, 2381, 13875, 18377, 1394, 6258, 1042, 16, 22803, 10977, 687, 334, 6097, 3113, 4151, 18, 30858, 742, 478, 31742, 455, 470, 3521, 315, 25440, 282, 32386, 6421, 411, 40293, 36725, 16, 396, 8521, 2038, 1034, 5983, 292, 831, 18, 2046, 309, 4286, 6258, 1042, 282, 478, 1098, 578, 409, 470, 912, 1595, 37339, 326, 44514, 18, 478, 41059, 46231, 470, 830, 6397, 414, 1176, 11216, 726, 1248, 4038, 1879, 18, 1870, 669, 2106, 36462, 5264, 2158, 16, 33709, 1063, 282, 25152, 18, 365, 6031, 1011, 26345, 669, 37073, 346, 15014, 353, 15702, 4167, 329, 6260, 5044, 16, 1029, 25440, 4995, 281, 3405, 18, 35860, 283, 334, 31747, 49067, 46840, 282, 6031, 282, 25569, 3287, 282, 9814, 1793, 3675, 478, 5486, 530, 454, 910, 322, 12509, 774, 34544, 272, 537, 13523, 39440, 18, 640, 803, 774, 12886, 42543, 32737, 282, 5572, 44056, 3227, 17091, 16, 289, 42222, 14416, 309, 23511, 18, 7250, 286, 537, 43526, 7384, 6157, 1624, 537, 24154, 528, 27715, 2612, 322, 6547, 16, 289, 309, 2992, 44368, 4966, 7451, 282, 1110, 575, 9536, 292, 18, 478, 31742, 300, 470, 3424, 2780, 281, 2223, 282, 11180, 18, 5890, 1248, 1293, 7264, 1011, 11364, 917, 4466, 1761, 27647, 15315, 297, 387, 29217, 309, 8999, 16, 515, 281, 505, 17192, 28291, 1034, 5983, 292, 388, 18, 4852, 4038, 1879, 12398, 413, 16028, 3711, 3424, 34138, 282, 5199, 16, 7961, 525, 5335, 477, 10556, 434, 282, 17979, 6928, 312, 18, 1178, 29591, 1870, 669, 12046, 25509, 939, 11723, 16, 502, 583, 47143, 334, 17, 6093, 11347, 322, 12916, 2175, 18, 7909, 492, 322, 5354, 36532, 334, 2560, 1616, 1011, 8462, 434, 850, 507, 6928, 312, 16, 367, 971, 16, 35602, 282, 1371, 323, 416, 6688, 282, 36725, 21755, 16, 32819, 11216, 309, 41445, 18, 478, 6207, 315, 307, 394, 470, 35428, 2159, 16432, 322, 7737, 16, 289, 478, 1098, 578, 267, 470, 294, 8151, 3298, 429, 33890, 13049, 18, 7384, 6157, 5243, 310, 481, 519, 24110, 17, 295, 7130, 16, 1011, 1660, 16, 13428, 322, 45481, 2566, 451, 2948, 16, 4226, 1870, 669, 12046, 289, 1034, 2707, 890, 19346, 309, 4577, 2777, 820, 289, 6140, 884, 11282, 2080, 440, 18, 4800, 1822, 21844, 34579, 3218, 2156, 289, 726, 1248, 2852, 1879, 1011, 1728, 11769, 309, 4577, 1011, 17696, 1651, 42596, 8009, 21042, 7671, 17363, 8866, 14456, 774, 16, 1029, 2207, 8610, 17485, 451, 6972, 368, 1034, 5983, 292, 831, 18, 478, 31742, 300, 470, 17060, 329, 478, 1098, 578, 507, 470, 289, 4223, 282, 20933, 45147, 14378, 9460, 16, 988, 2555, 17, 361, 3612, 42295, 281, 478, 1916, 1117, 46871, 15763, 3663, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1098, 578, 267, 470, 510, 478, 31742, 300, 861, 11333, 7036, 7638, 17, 38915, 16, 14378, 18389, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 9460, 18, 2, 1, 87, 1456, 81, 2448, 30, 14842, 10038, 42418, 472, 4970, 344, 309, 7266, 726, 4335, 986, 322, 4774, 2285, 1595, 19390, 282, 14613, 16, 1029, 30112, 282, 5021, 1045, 18, 824, 3163, 38261, 19210, 16, 31311, 4446, 1698, 11721, 1190, 15314, 282, 1169, 411, 17, 431, 4999, 2898, 16, 367, 3253, 9631, 11287, 322, 906, 282, 1169, 477, 2252, 33622, 2981, 25088, 282, 2452, 1175, 18, 31224, 30, 25479, 549, 9631, 11287, 3875, 42418, 472, 4970, 344, 1624, 43203, 8985, 1205, 282, 32866, 16, 19355, 23233, 282, 8773, 16, 988, 726, 309, 7266, 5544, 986, 23414, 360, 2368, 16, 2686, 334, 4080, 17, 299, 12150, 322, 2756, 28060, 2159, 28963, 16, 5301, 478, 27024, 6482, 742, 861, 33825, 1262, 5658, 9434, 16, 30827, 520, 472, 4970, 344, 808, 282, 22446, 6396, 5284, 1011, 48153, 24340, 18, 996, 428, 2291, 8794, 5121, 45457, 510, 309, 4907, 2662, 28739, 3084, 29535, 4561, 10289, 510, 773, 3711, 21165, 15159, 1558, 19390, 16, 1011, 1660, 294, 1498, 6544, 31085, 18, 640, 1247, 290, 970, 16, 1336, 520, 3164, 9631, 11287, 16, 492, 2715, 23379, 18, 478, 4529, 1003, 16, 726, 1269, 986, 1373, 322, 906, 18, 365, 4722, 445, 16, 4818, 16, 785, 8773, 764, 685, 33492, 18, 967, 1175, 537, 7633, 322, 11137, 4583, 910, 510, 1109, 31085, 18, 817, 8566, 6474, 7784, 14450, 290, 970, 16, 374, 13036, 30827, 1336, 1617, 21332, 16, 289, 4848, 290, 970, 16, 374, 19390, 836, 1100, 305, 16, 453, 428, 322, 2552, 895, 11721, 1190, 282, 1169, 15314, 411, 17, 431, 4999, 2898, 18, 47070, 742, 18833, 1038, 4848, 290, 970, 16, 2710, 10689, 47722, 505, 282, 11404, 808, 18, 478, 684, 1395, 3975, 401, 417, 329, 813, 322, 3189, 18, 740, 1215, 45352, 267, 5548, 685, 16, 367, 764, 22071, 1155, 24407, 335, 1231, 510, 9778, 411, 24652, 478, 1140, 307, 551, 470, 510, 9903, 300, 1373 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 669, 2106, 16, 428, 289, 282, 5572, 8267, 16, 4223, 282, 5344, 5271, 7586, 289, 13744, 290, 1190, 282, 2456, 3998, 5790, 18, 832, 5683, 289, 4256, 1879, 1011, 2411, 16596, 2595, 11287, 4809, 343, 30866, 428, 1870, 669, 2106, 11509, 5932, 8669, 416, 3012, 2607, 17878, 287, 6928, 312, 16, 289, 4657, 3257, 45300, 271, 22016, 665, 1034, 5983, 292, 831, 16, 30595, 2948, 282, 8267, 18, 478, 31742, 300, 470, 1590, 21899, 309, 2398, 7081, 21755, 16, 1830, 11347, 322, 12334, 3276, 32387, 473, 262, 828, 2548, 1830, 373, 13608, 309, 4577, 1870, 669, 12046, 814, 478, 6207, 315, 307, 394, 470, 282, 3998, 5790, 16590, 764, 1293, 22711, 25592, 16, 2686, 4289, 45813, 411, 1129, 1870, 669, 2106, 289, 36195, 363, 21551, 1408, 21001, 322, 7737, 18, 2101, 368, 343, 6147, 1011, 17696, 12959, 411, 1371, 323, 416, 6688, 3903, 6769, 37103, 3121, 282, 41311, 6421, 18, 2046, 1034, 5983, 292, 388, 360, 24624, 4445, 322, 687, 8460, 668, 20799, 18, 450, 766, 413, 3141, 282, 9026, 22666, 4744, 2557, 10587, 590, 1163, 1920, 289, 13190, 649, 11216, 18, 365, 4837, 1034, 2707, 890, 1011, 978, 3916, 862, 1472, 2361, 30, 478, 4182, 575, 453, 5433, 1665, 367, 1870, 669, 2106, 45402, 322, 8662, 334, 2560, 1616, 1011, 22615, 507, 924, 575, 1034, 2707, 890, 281, 924, 575, 28065, 16208, 486, 18, 3771, 3141, 6820, 309, 5625, 1762, 3430, 680, 16, 515, 7351, 7163, 15702, 282, 42808, 322, 2564, 18, 12431, 2200, 3498, 35881, 16530, 21365, 2381, 13875, 18377, 1394, 6258, 1042, 16, 22803, 10977, 687, 334, 6097, 3113, 4151, 18, 30858, 742, 478, 31742, 455, 470, 3521, 315, 25440, 282, 32386, 6421, 411, 40293, 36725, 16, 396, 8521, 2038, 1034, 5983, 292, 831, 18, 2046, 309, 4286, 6258, 1042, 282, 478, 1098, 578, 409, 470, 912, 1595, 37339, 326, 44514, 18, 478, 41059, 46231, 470, 830, 6397, 414, 1176, 11216, 726, 1248, 4038, 1879, 18, 1870, 669, 2106, 36462, 5264, 2158, 16, 33709, 1063, 282, 25152, 18, 365, 6031, 1011, 26345, 669, 37073, 346, 15014, 353, 15702, 4167, 329, 6260, 5044, 16, 1029, 25440, 4995, 281, 3405, 18, 35860, 283, 334, 31747, 49067, 46840, 282, 6031, 282, 25569, 3287, 282, 9814, 1793, 3675, 478, 5486, 530, 454, 910, 322, 12509, 774, 34544, 272, 537, 13523, 39440, 18, 640, 803, 774, 12886, 42543, 32737, 282, 5572, 44056, 3227, 17091, 16, 289, 42222, 14416, 309, 23511, 18, 7250, 286, 537, 43526, 7384, 6157, 1624, 537, 24154, 528, 27715, 2612, 322, 6547, 16, 289, 309, 2992, 44368, 4966, 7451, 282, 1110, 575, 9536, 292, 18, 478, 31742, 300, 470, 3424, 2780, 281, 2223, 282, 11180, 18, 5890, 1248, 1293, 7264, 1011, 11364, 917, 4466, 1761, 27647, 15315, 297, 387, 29217, 309, 8999, 16, 515, 281, 505, 17192, 28291, 1034, 5983, 292, 388, 18, 4852, 4038, 1879, 12398, 413, 16028, 3711, 3424, 34138, 282, 5199, 16, 7961, 525, 5335, 477, 10556, 434, 282, 17979, 6928, 312, 18, 1178, 29591, 1870, 669, 12046, 25509, 939, 11723, 16, 502, 583, 47143, 334, 17, 6093, 11347, 322, 12916, 2175, 18, 7909, 492, 322, 5354, 36532, 334, 2560, 1616, 1011, 8462, 434, 850, 507, 6928, 312, 16, 367, 971, 16, 35602, 282, 1371, 323, 416, 6688, 282, 36725, 21755, 16, 32819, 11216, 309, 41445, 18, 478, 6207, 315, 307, 394, 470, 35428, 2159, 16432, 322, 7737, 16, 289, 478, 1098, 578, 267, 470, 294, 8151, 3298, 429, 33890, 13049, 18, 7384, 6157, 5243, 310, 481, 519, 24110, 17, 295, 7130, 16, 1011, 1660, 16, 13428, 322, 45481, 2566, 451, 2948, 16, 4226, 1870, 669, 12046, 289, 1034, 2707, 890, 19346, 309, 4577, 2777, 820, 289, 6140, 884, 11282, 2080, 440, 18, 4800, 1822, 21844, 34579, 3218, 2156, 289, 726, 1248, 2852, 1879, 1011, 1728, 11769, 309, 4577, 1011, 17696, 1651, 42596, 8009, 21042, 7671, 17363, 8866, 14456, 774, 16, 1029, 2207, 8610, 17485, 451, 6972, 368, 1034, 5983, 292, 831, 18, 478, 31742, 300, 470, 17060, 329, 478, 1098, 578, 507, 470, 289, 4223, 282, 20933, 45147, 14378, 9460, 16, 988, 2555, 17, 361, 3612, 42295, 281, 478, 1916, 1117, 46871, 15763, 3663, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1098, 578, 267, 470, 510, 478, 31742, 300, 861, 11333, 7036, 7638, 17, 38915, 16, 14378, 18389, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 9460, 18, 2, 1, 87, 1456, 81, 2448, 30, 14842, 10038, 42418, 472, 4970, 344, 309, 7266, 726, 4335, 986, 322, 4774, 2285, 1595, 19390, 282, 14613, 16, 1029, 30112, 282, 5021, 1045, 18, 824, 3163, 38261, 19210, 16, 31311, 4446, 1698, 11721, 1190, 15314, 282, 1169, 411, 17, 431, 4999, 2898, 16, 367, 3253, 9631, 11287, 322, 906, 282, 1169, 477, 2252, 33622, 2981, 25088, 282, 2452, 1175, 18, 31224, 30, 25479, 549, 9631, 11287, 3875, 42418, 472, 4970, 344, 1624, 43203, 8985, 1205, 282, 32866, 16, 19355, 23233, 282, 8773, 16, 988, 726, 309, 7266, 5544, 986, 23414, 360, 2368, 16, 2686, 334, 4080, 17, 299, 12150, 322, 2756, 28060, 2159, 28963, 16, 5301, 478, 27024, 6482, 742, 861, 33825, 1262, 5658, 9434, 16, 30827, 520, 472, 4970, 344, 808, 282, 22446, 6396, 5284, 1011, 48153, 24340, 18, 996, 428, 2291, 8794, 5121, 45457, 510, 309, 4907, 2662, 28739, 3084, 29535, 4561, 10289, 510, 773, 3711, 21165, 15159, 1558, 19390, 16, 1011, 1660, 294, 1498, 6544, 31085, 18, 640, 1247, 290, 970, 16, 1336, 520, 3164, 9631, 11287, 16, 492, 2715, 23379, 18, 478, 4529, 1003, 16, 726, 1269, 986, 1373, 322, 906, 18, 365, 4722, 445, 16, 4818, 16, 785, 8773, 764, 685, 33492, 18, 967, 1175, 537, 7633, 322, 11137, 4583, 910, 510, 1109, 31085, 18, 817, 8566, 6474, 7784, 14450, 290, 970, 16, 374, 13036, 30827, 1336, 1617, 21332, 16, 289, 4848, 290, 970, 16, 374, 19390, 836, 1100, 305, 16, 453, 428, 322, 2552, 895, 11721, 1190, 282, 1169, 15314, 411, 17, 431, 4999, 2898, 18, 47070, 742, 18833, 1038, 4848, 290, 970, 16, 2710, 10689, 47722, 505, 282, 11404, 808, 18, 478, 684, 1395, 3975, 401, 417, 329, 813, 322, 3189, 18, 740, 1215, 45352, 267, 5548, 685, 16, 367, 764, 22071, 1155, 24407, 335, 1231, 510, 9778, 411, 24652, 478, 1140, 307, 551, 470, 510, 9903, 300, 1373 ]
[ 13798, 910, 510, 4725, 492, 18, 472, 4970, 344, 4686, 11802, 282, 15347, 18887, 1423, 13839, 42382, 16, 1011, 1660, 16, 282, 5021, 1045, 16, 8977, 381, 26352, 18833, 18, 478, 6889, 2975, 302, 709, 13506, 9546, 758, 289, 1436, 5925, 10070, 2389, 18, 7330, 374, 24263, 1016, 12447, 322, 3711, 18, 385, 1110, 1326, 428, 4382, 455, 9287, 19390, 16, 2756, 23175, 2904, 309, 6911, 24822, 282, 49048, 289, 4446, 10298, 18, 640, 27521, 303, 1751, 4573, 22894, 7803, 282, 33235, 2223, 2001, 16, 753, 5095, 902, 2094, 1122, 8059, 541, 20984, 910, 510, 20331, 472, 4970, 344, 18, 7249, 309, 20549, 40994, 16, 5040, 13286, 289, 6196, 16, 6495, 4851, 360, 2368, 472, 4970, 344, 16, 475, 575, 18955, 23716, 329, 4729, 13128, 16, 961, 6881, 16, 374, 6134, 18395, 282, 20795, 322, 11450, 27053, 18, 478, 4441, 16837, 816, 10689, 18, 3881, 22488, 16, 23723, 510, 4519, 451, 23222, 16, 24233, 281, 1479, 3259, 5948, 289, 26925, 448, 4505, 382, 18, 2231, 368, 453, 289, 6088, 720, 635, 18, 472, 4970, 344, 349, 4039, 2634, 2791, 282, 11104, 20042, 322, 35479, 910, 510, 24256, 977, 2197, 411, 7646, 18, 38160, 1038, 32556, 477, 7755, 309, 6911, 13156, 290, 970, 16, 374, 13036, 10047, 4426, 4453, 4446, 1625, 1147, 36527, 2364, 1061, 3763, 2791, 16172, 18, 365, 2343, 11826, 779, 472, 4970, 344, 18889, 360, 11815, 309, 7153, 5535, 31618, 11898, 478, 36382, 465, 779, 470, 282, 11925, 478, 630, 8596, 778, 861, 48300, 7461, 13737, 16, 374, 7190, 40994, 32039, 2174, 3003, 5816, 979, 309, 4862, 9322, 9047, 289, 15708, 1525, 40994, 26375, 1519, 3989, 49191, 4195, 1378, 1455, 13381, 18, 1870, 345, 11287, 1038, 12026, 3003, 381, 38545, 1209, 12731, 5856, 45989, 282, 1175, 478, 4529, 16, 481, 2826, 453, 18, 403, 6095, 16, 42418, 35783, 906, 25791, 5134, 2174, 3003, 16, 26581, 1617, 11815, 282, 1175, 910, 510, 3828, 12750, 451, 6187, 472, 4970, 344, 4210, 26319, 33293, 478, 47693, 1162, 3754, 861, 41651, 16, 374, 282, 14774, 25796, 14368, 2500, 8148, 12529, 6309, 472, 4970, 344, 360, 29236, 282, 1175, 18, 824, 3163, 924, 575, 11785, 756, 16, 9631, 11287, 2756, 5511, 30362, 360, 29236, 282, 1175, 16, 453, 428, 1450, 322, 5550, 23322, 281, 39694, 1082, 18, 478, 677, 15842, 1450, 8622, 479, 36279, 16, 1548, 374, 912, 11165, 24422, 18, 439, 282, 6551, 753, 15613, 1380, 16, 1381, 4686, 14721, 31451, 282, 19559, 16, 971, 726, 13676, 282, 7522, 18, 7879, 6392, 910, 510, 9848, 6187, 282, 7337, 478, 40125, 680, 21678, 282, 4862, 861, 13528, 2005, 381, 38545, 45989, 7134, 309, 8011, 13267, 290, 10072, 10414, 24110, 17, 17827, 472, 4970, 344, 567, 808, 2236, 411, 29236, 309, 7341, 12925, 282, 11872, 18, 23569, 40994, 10824, 49405, 49170, 13223, 411, 17, 431, 39571, 18, 14078, 9631, 11287, 14350, 6818, 28654, 349, 8156, 282, 3177, 584, 419, 844, 482, 18, 824, 3163, 4729, 411, 6814, 27983, 16, 785, 30927, 6712, 282, 965, 16, 678, 322, 13424, 16, 988, 3164, 16, 289, 322, 2782, 1909, 1512, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 282, 9937, 16, 1760, 4160, 16, 21480, 997, 1033, 23523, 1986, 1941, 14471, 30880, 18, 365, 11147, 7614, 802, 15170, 23025, 307, 16, 1839, 275, 2110, 6978, 519, 1939, 308, 19, 267, 289, 33904, 18, 967, 803, 12412, 7097, 22347, 519, 4668, 3161, 5448, 39, 18, 29980, 26075, 19875, 282, 2630, 281, 2184, 10218, 478, 9500, 2523, 470, 5040, 18503, 416, 9461, 18, 23302, 12439, 24181, 47431, 953, 1649, 15981, 289, 4850, 758, 309, 16043, 18, 31224, 30, 677, 9937, 567, 2992, 11053, 2299, 7522, 1874, 35630, 23025, 522, 16, 5564, 276, 289, 33904, 18, 1367, 803, 3110, 29980, 26075, 19875, 18, 824, 3761, 17996, 348, 306, 331, 16, 8785, 549, 12412, 7097, 282, 11147, 14481, 4668, 6462, 655, 15, 6894, 5448, 39, 18, 8078, 19988, 1137, 2234, 281, 32920, 14734, 1082, 18, 23544, 9265, 17, 14099, 451, 281, 48509, 353, 519, 1760, 17, 2932, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 371, 803, 14481, 1409, 6427, 6322, 941, 266, 18, 422, 18, 365, 3507, 349, 9937, 895, 21480, 425, 1033, 23523, 1986, 1941, 14471, 30880, 16, 6881, 282, 5214, 24628, 478, 1182, 348, 397, 861, 478, 10245, 12494, 2364, 3610, 4017, 19, 283, 5564, 1505, 8716, 607, 2140, 4716, 282, 2580, 4534, 289, 282, 13673, 1272, 17, 1198, 4177, 1146, 44572, 519, 10208, 18, 996, 374, 282, 20755, 22160, 409, 16, 10394, 281, 9265, 17, 14099, 432, 14297, 16, 20776, 34049, 16, 2530, 628, 530, 5564, 276, 18, 16539, 36460, 4470, 1344, 6621, 16, 4040, 22810, 18, 740, 6476, 294, 18328, 7522, 1874, 45882, 3531, 5564, 1505, 19107, 16, 11419, 281, 24014, 23337, 536, 4683, 496, 910, 510, 12002, 282, 17996, 348, 306, 331, 18, 1598, 17, 431, 19599, 11315, 16, 16682, 289, 7773, 1469, 31637, 22484, 29980, 26075, 19875, 10218, 282, 3507, 282, 9937, 478, 9500, 2523, 470, 5040, 18503, 416, 9461, 18, 478, 563, 5459, 522, 46914, 22711, 24296, 30, 478, 9500, 2523, 470, 510, 17395, 39636, 2913, 324, 910, 510, 12002, 282, 17996, 348, 306, 331, 18, 1367, 9461, 47431, 45505, 289, 282, 12439, 18, 478, 630, 675, 4065, 11511, 16, 17119, 11473, 16, 49244, 16, 567, 2992, 11053, 2299, 17119, 33904, 16, 1839, 937, 2123, 17, 5759, 308, 19, 267, 18, 26116, 1649, 24286, 289, 4850, 318, 24450, 510, 5130, 282, 9907, 11413, 18, 16858, 1161, 12370, 282, 1177, 1119, 14482, 3213, 20696, 282, 2894, 883, 1808, 12592, 16, 25156, 282, 5214, 478, 1182, 348, 397, 861, 478, 6706, 12241, 29143, 23025, 307, 22444, 4110, 12173, 2166, 309, 34162, 1614, 266, 31299, 282, 27165, 18, 41004, 7768, 3711, 10451, 9654, 12226, 5486, 516, 5156, 322, 687, 411, 17374, 6582, 16, 515, 1038, 41760, 289, 1087, 610, 2778, 891, 18, 40787, 315, 411, 17, 431, 1362, 347, 289, 23025, 465, 639, 14482, 22166, 5922, 1038, 309, 15956, 19992, 18, 11662, 448, 5564, 276, 3542, 14056, 282, 5306, 16, 22256, 16, 22336, 16, 47694, 18, 740, 1717, 282, 27165, 14734, 382, 5823, 3989, 12625, 758, 910, 510, 4864, 3457, 4275, 412, 3847, 18, 2877, 575, 16, 334, 697, 3352, 16, 13690, 659, 1510, 22961, 282, 7044, 18457, 2221, 21466, 1812, 282, 6551, 18, 478, 1009, 2105, 1505, 26460, 18457, 15969, 1747, 38030, 6017, 1195, 26150, 282, 9937, 17, 26648, 297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13798, 910, 510, 4725, 492, 18, 472, 4970, 344, 4686, 11802, 282, 15347, 18887, 1423, 13839, 42382, 16, 1011, 1660, 16, 282, 5021, 1045, 16, 8977, 381, 26352, 18833, 18, 478, 6889, 2975, 302, 709, 13506, 9546, 758, 289, 1436, 5925, 10070, 2389, 18, 7330, 374, 24263, 1016, 12447, 322, 3711, 18, 385, 1110, 1326, 428, 4382, 455, 9287, 19390, 16, 2756, 23175, 2904, 309, 6911, 24822, 282, 49048, 289, 4446, 10298, 18, 640, 27521, 303, 1751, 4573, 22894, 7803, 282, 33235, 2223, 2001, 16, 753, 5095, 902, 2094, 1122, 8059, 541, 20984, 910, 510, 20331, 472, 4970, 344, 18, 7249, 309, 20549, 40994, 16, 5040, 13286, 289, 6196, 16, 6495, 4851, 360, 2368, 472, 4970, 344, 16, 475, 575, 18955, 23716, 329, 4729, 13128, 16, 961, 6881, 16, 374, 6134, 18395, 282, 20795, 322, 11450, 27053, 18, 478, 4441, 16837, 816, 10689, 18, 3881, 22488, 16, 23723, 510, 4519, 451, 23222, 16, 24233, 281, 1479, 3259, 5948, 289, 26925, 448, 4505, 382, 18, 2231, 368, 453, 289, 6088, 720, 635, 18, 472, 4970, 344, 349, 4039, 2634, 2791, 282, 11104, 20042, 322, 35479, 910, 510, 24256, 977, 2197, 411, 7646, 18, 38160, 1038, 32556, 477, 7755, 309, 6911, 13156, 290, 970, 16, 374, 13036, 10047, 4426, 4453, 4446, 1625, 1147, 36527, 2364, 1061, 3763, 2791, 16172, 18, 365, 2343, 11826, 779, 472, 4970, 344, 18889, 360, 11815, 309, 7153, 5535, 31618, 11898, 478, 36382, 465, 779, 470, 282, 11925, 478, 630, 8596, 778, 861, 48300, 7461, 13737, 16, 374, 7190, 40994, 32039, 2174, 3003, 5816, 979, 309, 4862, 9322, 9047, 289, 15708, 1525, 40994, 26375, 1519, 3989, 49191, 4195, 1378, 1455, 13381, 18, 1870, 345, 11287, 1038, 12026, 3003, 381, 38545, 1209, 12731, 5856, 45989, 282, 1175, 478, 4529, 16, 481, 2826, 453, 18, 403, 6095, 16, 42418, 35783, 906, 25791, 5134, 2174, 3003, 16, 26581, 1617, 11815, 282, 1175, 910, 510, 3828, 12750, 451, 6187, 472, 4970, 344, 4210, 26319, 33293, 478, 47693, 1162, 3754, 861, 41651, 16, 374, 282, 14774, 25796, 14368, 2500, 8148, 12529, 6309, 472, 4970, 344, 360, 29236, 282, 1175, 18, 824, 3163, 924, 575, 11785, 756, 16, 9631, 11287, 2756, 5511, 30362, 360, 29236, 282, 1175, 16, 453, 428, 1450, 322, 5550, 23322, 281, 39694, 1082, 18, 478, 677, 15842, 1450, 8622, 479, 36279, 16, 1548, 374, 912, 11165, 24422, 18, 439, 282, 6551, 753, 15613, 1380, 16, 1381, 4686, 14721, 31451, 282, 19559, 16, 971, 726, 13676, 282, 7522, 18, 7879, 6392, 910, 510, 9848, 6187, 282, 7337, 478, 40125, 680, 21678, 282, 4862, 861, 13528, 2005, 381, 38545, 45989, 7134, 309, 8011, 13267, 290, 10072, 10414, 24110, 17, 17827, 472, 4970, 344, 567, 808, 2236, 411, 29236, 309, 7341, 12925, 282, 11872, 18, 23569, 40994, 10824, 49405, 49170, 13223, 411, 17, 431, 39571, 18, 14078, 9631, 11287, 14350, 6818, 28654, 349, 8156, 282, 3177, 584, 419, 844, 482, 18, 824, 3163, 4729, 411, 6814, 27983, 16, 785, 30927, 6712, 282, 965, 16, 678, 322, 13424, 16, 988, 3164, 16, 289, 322, 2782, 1909, 1512, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 282, 9937, 16, 1760, 4160, 16, 21480, 997, 1033, 23523, 1986, 1941, 14471, 30880, 18, 365, 11147, 7614, 802, 15170, 23025, 307, 16, 1839, 275, 2110, 6978, 519, 1939, 308, 19, 267, 289, 33904, 18, 967, 803, 12412, 7097, 22347, 519, 4668, 3161, 5448, 39, 18, 29980, 26075, 19875, 282, 2630, 281, 2184, 10218, 478, 9500, 2523, 470, 5040, 18503, 416, 9461, 18, 23302, 12439, 24181, 47431, 953, 1649, 15981, 289, 4850, 758, 309, 16043, 18, 31224, 30, 677, 9937, 567, 2992, 11053, 2299, 7522, 1874, 35630, 23025, 522, 16, 5564, 276, 289, 33904, 18, 1367, 803, 3110, 29980, 26075, 19875, 18, 824, 3761, 17996, 348, 306, 331, 16, 8785, 549, 12412, 7097, 282, 11147, 14481, 4668, 6462, 655, 15, 6894, 5448, 39, 18, 8078, 19988, 1137, 2234, 281, 32920, 14734, 1082, 18, 23544, 9265, 17, 14099, 451, 281, 48509, 353, 519, 1760, 17, 2932, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 371, 803, 14481, 1409, 6427, 6322, 941, 266, 18, 422, 18, 365, 3507, 349, 9937, 895, 21480, 425, 1033, 23523, 1986, 1941, 14471, 30880, 16, 6881, 282, 5214, 24628, 478, 1182, 348, 397, 861, 478, 10245, 12494, 2364, 3610, 4017, 19, 283, 5564, 1505, 8716, 607, 2140, 4716, 282, 2580, 4534, 289, 282, 13673, 1272, 17, 1198, 4177, 1146, 44572, 519, 10208, 18, 996, 374, 282, 20755, 22160, 409, 16, 10394, 281, 9265, 17, 14099, 432, 14297, 16, 20776, 34049, 16, 2530, 628, 530, 5564, 276, 18, 16539, 36460, 4470, 1344, 6621, 16, 4040, 22810, 18, 740, 6476, 294, 18328, 7522, 1874, 45882, 3531, 5564, 1505, 19107, 16, 11419, 281, 24014, 23337, 536, 4683, 496, 910, 510, 12002, 282, 17996, 348, 306, 331, 18, 1598, 17, 431, 19599, 11315, 16, 16682, 289, 7773, 1469, 31637, 22484, 29980, 26075, 19875, 10218, 282, 3507, 282, 9937, 478, 9500, 2523, 470, 5040, 18503, 416, 9461, 18, 478, 563, 5459, 522, 46914, 22711, 24296, 30, 478, 9500, 2523, 470, 510, 17395, 39636, 2913, 324, 910, 510, 12002, 282, 17996, 348, 306, 331, 18, 1367, 9461, 47431, 45505, 289, 282, 12439, 18, 478, 630, 675, 4065, 11511, 16, 17119, 11473, 16, 49244, 16, 567, 2992, 11053, 2299, 17119, 33904, 16, 1839, 937, 2123, 17, 5759, 308, 19, 267, 18, 26116, 1649, 24286, 289, 4850, 318, 24450, 510, 5130, 282, 9907, 11413, 18, 16858, 1161, 12370, 282, 1177, 1119, 14482, 3213, 20696, 282, 2894, 883, 1808, 12592, 16, 25156, 282, 5214, 478, 1182, 348, 397, 861, 478, 6706, 12241, 29143, 23025, 307, 22444, 4110, 12173, 2166, 309, 34162, 1614, 266, 31299, 282, 27165, 18, 41004, 7768, 3711, 10451, 9654, 12226, 5486, 516, 5156, 322, 687, 411, 17374, 6582, 16, 515, 1038, 41760, 289, 1087, 610, 2778, 891, 18, 40787, 315, 411, 17, 431, 1362, 347, 289, 23025, 465, 639, 14482, 22166, 5922, 1038, 309, 15956, 19992, 18, 11662, 448, 5564, 276, 3542, 14056, 282, 5306, 16, 22256, 16, 22336, 16, 47694, 18, 740, 1717, 282, 27165, 14734, 382, 5823, 3989, 12625, 758, 910, 510, 4864, 3457, 4275, 412, 3847, 18, 2877, 575, 16, 334, 697, 3352, 16, 13690, 659, 1510, 22961, 282, 7044, 18457, 2221, 21466, 1812, 282, 6551, 18, 478, 1009, 2105, 1505, 26460, 18457, 15969, 1747, 38030, 6017, 1195, 26150, 282, 9937, 17, 26648, 297 ]
[ 18, 8859, 1800, 12592, 37320, 6074, 4128, 309, 12376, 11693, 2299, 910, 510, 48484, 282, 478, 1182, 348, 16460, 861, 365, 29980, 26075, 31508, 1038, 13737, 16, 374, 282, 3765, 309, 11946, 282, 3507, 1803, 303, 540, 305, 510, 12412, 7097, 26968, 847, 519, 4668, 3902, 655, 2692, 5448, 39, 18, 42775, 1159, 1858, 1874, 35630, 11511, 510, 17119, 3826, 1545, 289, 281, 5564, 323, 18, 378, 4607, 560, 9839, 17, 14099, 434, 11315, 1698, 37036, 2123, 308, 19, 267, 18, 25740, 2261, 4160, 282, 3507, 4668, 5759, 723, 4668, 5493, 5448, 39, 18, 415, 3375, 382, 281, 5963, 10387, 322, 18798, 4716, 510, 19988, 34049, 289, 5564, 276, 18, 23544, 9839, 17, 14099, 451, 281, 48509, 353, 1912, 17, 3420, 308, 19, 267, 18, 365, 3765, 309, 10882, 16682, 4275, 412, 3847, 322, 18604, 4364, 18, 391, 17954, 12412, 14481, 4668, 3572, 655, 4234, 5448, 39, 16, 7760, 575, 840, 4668, 6091, 655, 4691, 5448, 39, 18, 23544, 9839, 17, 12212, 2234, 16, 9913, 1344, 519, 1061, 17, 2479, 308, 19, 267, 18, 365, 2343, 5576, 349, 22961, 282, 3507, 20055, 484, 3806, 11972, 2221, 18, 1681, 505, 17566, 32409, 1936, 19107, 9492, 802, 18, 365, 11147, 4040, 6164, 390, 510, 7760, 12412, 840, 37036, 4668, 6462, 5448, 563, 18, 3557, 322, 2619, 16, 515, 3412, 12412, 840, 334, 17, 397, 286, 3756, 14096, 416, 510, 4668, 27, 723, 15, 3940, 5448, 563, 18, 640, 13519, 11056, 282, 5214, 478, 1182, 348, 397, 470, 12002, 16, 374, 6287, 4160, 11826, 779, 2438, 3818, 3882, 897, 16530, 349, 5953, 986, 282, 11147, 18, 999, 5487, 4701, 8508, 38116, 5196, 48045, 1223, 1032, 6322, 16682, 16, 36562, 4275, 412, 3847, 18, 889, 15042, 745, 2196, 414, 281, 22794, 347, 2854, 17566, 3806, 377, 7515, 1970, 18, 9639, 25799, 30880, 282, 4056, 11053, 4160, 8876, 10750, 4110, 4424, 281, 19224, 779, 18, 3647, 282, 6164, 635, 4479, 1045, 16, 48484, 282, 478, 1182, 348, 16460, 910, 48045, 2123, 16, 25, 6322, 30880, 18, 3026, 16170, 16, 374, 3818, 3882, 897, 16530, 1986, 3347, 282, 3182, 685, 42760, 17346, 779, 510, 1655, 48045, 48045, 2619, 430, 6322, 30880, 18, 3557, 322, 2619, 16, 3882, 6399, 282, 803, 1045, 1103, 29791, 15660, 510, 18457, 2221, 281, 9839, 17, 431, 6372, 726, 281, 13519, 5576, 5568, 282, 7522, 37649, 448, 34049, 18, 6422, 16, 4275, 412, 3847, 19967, 10940, 289, 309, 24845, 18, 824, 3163, 18380, 478, 1182, 348, 4654, 470, 46233, 17831, 465, 6589, 16, 282, 11130, 840, 6531, 18, 478, 43332, 2284, 2174, 5177, 1919, 12753, 18, 3397, 2141, 4002, 2899, 2119, 14269, 18, 22174, 16, 41484, 685, 5773, 4099, 966, 334, 43650, 16, 281, 12504, 1134, 289, 8889, 4290, 4868, 18, 9570, 289, 12753, 2914, 1231, 484, 309, 29809, 910, 510, 9321, 4275, 412, 4415, 18, 2, 1, 87, 1456, 81, 2448, 30, 15767, 1627, 2523, 16708, 9778, 16, 1241, 937, 320, 36114, 2814, 305, 434, 29019, 853, 1258, 665, 269, 15435, 9180, 1919, 42675, 309, 46304, 282, 6292, 6459, 17, 23745, 9001, 16542, 10788, 16, 309, 2114, 26269, 305, 8735, 12702, 8121, 17, 23666, 22879, 18, 31224, 30, 4182, 6442, 7190, 3781, 17, 14130, 7461, 16, 15435, 9180, 1919, 10498, 19044, 282, 18168, 282, 2343, 16642, 5196, 18, 478, 10269, 1258, 665, 269, 15435, 9180, 1919, 26981, 282, 7522, 2706, 4238, 16, 753, 28998, 8735, 16542, 10788, 910, 510, 6442, 30111, 18, 1606, 16170, 16, 374, 9778, 478, 4512, 21545, 28676, 281, 16542, 42116, 289, 505, 3053, 5364, 861, 478, 15308, 282, 11238, 17, 292, 31626, 37991, 8621, 478, 677, 286, 1133, 30720, 470, 334, 39772, 9001, 16542, 10788, 289, 50180, 13463, 441, 718, 510, 5517, 2242, 1051, 39872, 47183, 16, 3279, 3225, 27948, 349, 1293, 2868, 519, 9512, 2793, 18, 12510, 2461, 35580, 21113, 309, 16708, 289, 37535, 332, 282, 13734, 16, 510, 13462, 282, 3781, 17, 40048, 510, 39732, 16, 515, 726, 939, 41984, 36490, 1258, 665, 269, 15435, 9180, 1919, 289, 48395, 6131, 296, 6077, 778, 23867, 6281, 282, 25097, 749, 37213, 287, 18, 403, 6095, 16, 4913, 16542, 10788, 2349, 14710, 2184, 48842, 861, 4137, 4926, 44898, 20356, 281, 15435, 9180, 1919, 282, 12221, 282, 16951, 1045, 510, 697, 689, 555, 17653, 38639, 12510, 2461, 18, 478, 26174, 6626, 1154, 281, 27402, 12510, 2461, 16, 510, 20496, 10188, 16708, 9778, 18, 510, 817, 20987, 784, 1617, 8735, 16, 289, 1830, 417, 322, 7750, 537, 1694, 16, 515, 7639, 697, 18, 365, 16542, 321, 635, 5157, 414, 11435, 425, 16, 14285, 7630, 5208, 28834, 23102, 4657, 11451, 27834, 290, 970, 16, 374, 16542, 7960, 37346, 309, 1047, 9405, 7957, 510, 935, 1143, 16, 828, 20451, 778, 16, 29351, 6829, 492, 16, 334, 22061, 2202, 1433, 16, 2002, 322, 35147, 18, 478, 1140, 31236, 282, 46304, 4040, 1222, 957, 21804, 16, 2588, 15435, 9180, 1919, 49020, 31120, 4316, 554, 910, 510, 16170, 282, 3781, 17, 12495, 18, 20587, 38639, 16, 9778, 10137, 289, 4889, 14564, 16542, 7960, 2815, 16, 374, 40253, 15349, 12961, 281, 12070, 15435, 9180, 1919, 282, 47627, 30879, 18, 478, 1358, 294, 2856, 1904, 42624, 18, 1606, 898, 19394, 371, 1354, 2994, 370, 613, 9142, 329, 1129, 935, 906, 7865, 1974, 3624, 16, 510, 7332, 505, 1694, 391, 26448, 18, 510, 3037, 538, 4889, 2240, 1974, 16, 453, 374, 16, 334, 17, 10087, 16, 481, 939, 1904, 861, 15435, 9180, 1919, 1943, 497, 1380, 23995, 9001, 16542, 10788, 428, 309, 35911, 16, 453, 289, 309, 12843, 6718, 18, 9418, 281, 1498, 16996, 3885, 530, 583, 14564, 16542, 7960, 16, 367, 1038, 9409, 3138, 597, 39970, 1624, 19518, 10462, 390, 3854, 1624, 3720, 6437, 317, 4929, 1624, 4786, 478, 26145, 816, 2783, 470, 289, 2393, 15590, 2873, 18, 365, 10841, 3734, 779, 15435, 9180, 1919, 3619, 30225, 32365, 510, 3574, 381, 803, 14900, 5112, 4770, 2553, 4137, 6732, 18, 2333, 5770, 6946, 14535, 290, 21659, 7179, 31378, 16, 15435, 9180, 1919, 14403, 16, 374, 1623, 6097, 8941, 2409, 8401, 5319, 289, 15868, 19738, 16, 2391, 939, 6317, 2222, 16, 374, 1559, 6906, 1335, 2553, 18, 824, 505, 3163, 16, 1143, 1223, 492, 592, 11521, 22872, 20021, 16, 36711, 15507, 289, 16542, 10788, 18, 817, 1038, 4725, 16, 374, 7281, 4830, 1175, 9001, 9620, 1624, 289, 481, 4506, 315, 18, 6551, 9778, 8566, 478, 899, 416, 18013, 20854, 861, 817, 3828, 16, 374, 9733, 20927, 8338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8859, 1800, 12592, 37320, 6074, 4128, 309, 12376, 11693, 2299, 910, 510, 48484, 282, 478, 1182, 348, 16460, 861, 365, 29980, 26075, 31508, 1038, 13737, 16, 374, 282, 3765, 309, 11946, 282, 3507, 1803, 303, 540, 305, 510, 12412, 7097, 26968, 847, 519, 4668, 3902, 655, 2692, 5448, 39, 18, 42775, 1159, 1858, 1874, 35630, 11511, 510, 17119, 3826, 1545, 289, 281, 5564, 323, 18, 378, 4607, 560, 9839, 17, 14099, 434, 11315, 1698, 37036, 2123, 308, 19, 267, 18, 25740, 2261, 4160, 282, 3507, 4668, 5759, 723, 4668, 5493, 5448, 39, 18, 415, 3375, 382, 281, 5963, 10387, 322, 18798, 4716, 510, 19988, 34049, 289, 5564, 276, 18, 23544, 9839, 17, 14099, 451, 281, 48509, 353, 1912, 17, 3420, 308, 19, 267, 18, 365, 3765, 309, 10882, 16682, 4275, 412, 3847, 322, 18604, 4364, 18, 391, 17954, 12412, 14481, 4668, 3572, 655, 4234, 5448, 39, 16, 7760, 575, 840, 4668, 6091, 655, 4691, 5448, 39, 18, 23544, 9839, 17, 12212, 2234, 16, 9913, 1344, 519, 1061, 17, 2479, 308, 19, 267, 18, 365, 2343, 5576, 349, 22961, 282, 3507, 20055, 484, 3806, 11972, 2221, 18, 1681, 505, 17566, 32409, 1936, 19107, 9492, 802, 18, 365, 11147, 4040, 6164, 390, 510, 7760, 12412, 840, 37036, 4668, 6462, 5448, 563, 18, 3557, 322, 2619, 16, 515, 3412, 12412, 840, 334, 17, 397, 286, 3756, 14096, 416, 510, 4668, 27, 723, 15, 3940, 5448, 563, 18, 640, 13519, 11056, 282, 5214, 478, 1182, 348, 397, 470, 12002, 16, 374, 6287, 4160, 11826, 779, 2438, 3818, 3882, 897, 16530, 349, 5953, 986, 282, 11147, 18, 999, 5487, 4701, 8508, 38116, 5196, 48045, 1223, 1032, 6322, 16682, 16, 36562, 4275, 412, 3847, 18, 889, 15042, 745, 2196, 414, 281, 22794, 347, 2854, 17566, 3806, 377, 7515, 1970, 18, 9639, 25799, 30880, 282, 4056, 11053, 4160, 8876, 10750, 4110, 4424, 281, 19224, 779, 18, 3647, 282, 6164, 635, 4479, 1045, 16, 48484, 282, 478, 1182, 348, 16460, 910, 48045, 2123, 16, 25, 6322, 30880, 18, 3026, 16170, 16, 374, 3818, 3882, 897, 16530, 1986, 3347, 282, 3182, 685, 42760, 17346, 779, 510, 1655, 48045, 48045, 2619, 430, 6322, 30880, 18, 3557, 322, 2619, 16, 3882, 6399, 282, 803, 1045, 1103, 29791, 15660, 510, 18457, 2221, 281, 9839, 17, 431, 6372, 726, 281, 13519, 5576, 5568, 282, 7522, 37649, 448, 34049, 18, 6422, 16, 4275, 412, 3847, 19967, 10940, 289, 309, 24845, 18, 824, 3163, 18380, 478, 1182, 348, 4654, 470, 46233, 17831, 465, 6589, 16, 282, 11130, 840, 6531, 18, 478, 43332, 2284, 2174, 5177, 1919, 12753, 18, 3397, 2141, 4002, 2899, 2119, 14269, 18, 22174, 16, 41484, 685, 5773, 4099, 966, 334, 43650, 16, 281, 12504, 1134, 289, 8889, 4290, 4868, 18, 9570, 289, 12753, 2914, 1231, 484, 309, 29809, 910, 510, 9321, 4275, 412, 4415, 18, 2, 1, 87, 1456, 81, 2448, 30, 15767, 1627, 2523, 16708, 9778, 16, 1241, 937, 320, 36114, 2814, 305, 434, 29019, 853, 1258, 665, 269, 15435, 9180, 1919, 42675, 309, 46304, 282, 6292, 6459, 17, 23745, 9001, 16542, 10788, 16, 309, 2114, 26269, 305, 8735, 12702, 8121, 17, 23666, 22879, 18, 31224, 30, 4182, 6442, 7190, 3781, 17, 14130, 7461, 16, 15435, 9180, 1919, 10498, 19044, 282, 18168, 282, 2343, 16642, 5196, 18, 478, 10269, 1258, 665, 269, 15435, 9180, 1919, 26981, 282, 7522, 2706, 4238, 16, 753, 28998, 8735, 16542, 10788, 910, 510, 6442, 30111, 18, 1606, 16170, 16, 374, 9778, 478, 4512, 21545, 28676, 281, 16542, 42116, 289, 505, 3053, 5364, 861, 478, 15308, 282, 11238, 17, 292, 31626, 37991, 8621, 478, 677, 286, 1133, 30720, 470, 334, 39772, 9001, 16542, 10788, 289, 50180, 13463, 441, 718, 510, 5517, 2242, 1051, 39872, 47183, 16, 3279, 3225, 27948, 349, 1293, 2868, 519, 9512, 2793, 18, 12510, 2461, 35580, 21113, 309, 16708, 289, 37535, 332, 282, 13734, 16, 510, 13462, 282, 3781, 17, 40048, 510, 39732, 16, 515, 726, 939, 41984, 36490, 1258, 665, 269, 15435, 9180, 1919, 289, 48395, 6131, 296, 6077, 778, 23867, 6281, 282, 25097, 749, 37213, 287, 18, 403, 6095, 16, 4913, 16542, 10788, 2349, 14710, 2184, 48842, 861, 4137, 4926, 44898, 20356, 281, 15435, 9180, 1919, 282, 12221, 282, 16951, 1045, 510, 697, 689, 555, 17653, 38639, 12510, 2461, 18, 478, 26174, 6626, 1154, 281, 27402, 12510, 2461, 16, 510, 20496, 10188, 16708, 9778, 18, 510, 817, 20987, 784, 1617, 8735, 16, 289, 1830, 417, 322, 7750, 537, 1694, 16, 515, 7639, 697, 18, 365, 16542, 321, 635, 5157, 414, 11435, 425, 16, 14285, 7630, 5208, 28834, 23102, 4657, 11451, 27834, 290, 970, 16, 374, 16542, 7960, 37346, 309, 1047, 9405, 7957, 510, 935, 1143, 16, 828, 20451, 778, 16, 29351, 6829, 492, 16, 334, 22061, 2202, 1433, 16, 2002, 322, 35147, 18, 478, 1140, 31236, 282, 46304, 4040, 1222, 957, 21804, 16, 2588, 15435, 9180, 1919, 49020, 31120, 4316, 554, 910, 510, 16170, 282, 3781, 17, 12495, 18, 20587, 38639, 16, 9778, 10137, 289, 4889, 14564, 16542, 7960, 2815, 16, 374, 40253, 15349, 12961, 281, 12070, 15435, 9180, 1919, 282, 47627, 30879, 18, 478, 1358, 294, 2856, 1904, 42624, 18, 1606, 898, 19394, 371, 1354, 2994, 370, 613, 9142, 329, 1129, 935, 906, 7865, 1974, 3624, 16, 510, 7332, 505, 1694, 391, 26448, 18, 510, 3037, 538, 4889, 2240, 1974, 16, 453, 374, 16, 334, 17, 10087, 16, 481, 939, 1904, 861, 15435, 9180, 1919, 1943, 497, 1380, 23995, 9001, 16542, 10788, 428, 309, 35911, 16, 453, 289, 309, 12843, 6718, 18, 9418, 281, 1498, 16996, 3885, 530, 583, 14564, 16542, 7960, 16, 367, 1038, 9409, 3138, 597, 39970, 1624, 19518, 10462, 390, 3854, 1624, 3720, 6437, 317, 4929, 1624, 4786, 478, 26145, 816, 2783, 470, 289, 2393, 15590, 2873, 18, 365, 10841, 3734, 779, 15435, 9180, 1919, 3619, 30225, 32365, 510, 3574, 381, 803, 14900, 5112, 4770, 2553, 4137, 6732, 18, 2333, 5770, 6946, 14535, 290, 21659, 7179, 31378, 16, 15435, 9180, 1919, 14403, 16, 374, 1623, 6097, 8941, 2409, 8401, 5319, 289, 15868, 19738, 16, 2391, 939, 6317, 2222, 16, 374, 1559, 6906, 1335, 2553, 18, 824, 505, 3163, 16, 1143, 1223, 492, 592, 11521, 22872, 20021, 16, 36711, 15507, 289, 16542, 10788, 18, 817, 1038, 4725, 16, 374, 7281, 4830, 1175, 9001, 9620, 1624, 289, 481, 4506, 315, 18, 6551, 9778, 8566, 478, 899, 416, 18013, 20854, 861, 817, 3828, 16, 374, 9733, 20927, 8338 ]
[ 289, 25599, 282, 3106, 2223, 18395, 322, 687, 7522, 16, 1586, 1623, 541, 1047, 2410, 22304, 14762, 18, 365, 2604, 17, 277, 15435, 9180, 1919, 2815, 16, 374, 478, 1546, 13967, 349, 6551, 861, 478, 1358, 2259, 13967, 349, 6551, 16, 1548, 374, 1749, 1336, 15170, 31, 417, 322, 3027, 13967, 16, 428, 19014, 16, 282, 23587, 5670, 910, 510, 1109, 15435, 9180, 1919, 16, 30634, 16, 374, 492, 2002, 322, 15892, 267, 5077, 965, 294, 20740, 32739, 289, 322, 3885, 1738, 19069, 16, 282, 1639, 505, 7860, 6985, 18, 2949, 7179, 25099, 329, 30077, 1038, 8849, 32365, 29956, 16, 2486, 492, 3619, 282, 3734, 17, 277, 16, 367, 282, 10264, 808, 492, 29569, 1852, 47292, 42233, 287, 18, 478, 30688, 331, 417, 3478, 3660, 282, 42233, 298, 18, 629, 15130, 1332, 42233, 269, 18, 889, 8669, 549, 8768, 910, 510, 2815, 15435, 9180, 1919, 282, 3998, 779, 18, 817, 5692, 16, 374, 975, 37176, 5517, 42233, 287, 16, 289, 492, 5273, 2969, 675, 269, 1275, 939, 42934, 21041, 16, 1029, 685, 4073, 928, 478, 404, 31710, 416, 20198, 470, 282, 43754, 1045, 18, 365, 12500, 289, 11500, 978, 779, 21477, 478, 10150, 3951, 448, 7792, 470, 281, 12070, 15435, 9180, 1919, 289, 22234, 4938, 4508, 626, 307, 16, 1029, 1943, 685, 6886, 282, 1175, 16, 10490, 9650, 3382, 18, 985, 9321, 3781, 17, 15975, 28455, 9409, 3495, 818, 283, 1624, 9402, 32362, 2458, 3860, 477, 25517, 30077, 18, 478, 47387, 15435, 9180, 1919, 322, 24185, 364, 6402, 21492, 16, 639, 19056, 49005, 282, 36087, 298, 289, 22004, 11607, 26581, 16, 3118, 2760, 659, 43374, 2764, 349, 3483, 4490, 19092, 910, 510, 16926, 678, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 478, 49256, 30433, 470, 5691, 10132, 11876, 3008, 2815, 290, 26665, 1251, 1128, 748, 16103, 1703, 13403, 2854, 2086, 4304, 2368, 32327, 343, 262, 289, 478, 8706, 5325, 861, 31224, 30, 22681, 478, 49256, 30433, 470, 5691, 10132, 11876, 3008, 2815, 16, 374, 1128, 748, 16103, 778, 32124, 2086, 4304, 388, 32327, 343, 262, 895, 12848, 8616, 334, 17147, 8900, 18, 478, 3096, 21231, 808, 2158, 32327, 343, 262, 5575, 5239, 17, 4743, 323, 26665, 281, 478, 8706, 5325, 910, 510, 7332, 1694, 11876, 3008, 27275, 18, 4756, 39914, 2815, 16, 374, 322, 21159, 411, 4966, 519, 3915, 8900, 17, 11622, 19, 4234, 18, 478, 1358, 2060, 16, 374, 3216, 44198, 13225, 839, 8885, 541, 924, 16, 753, 8969, 703, 282, 10434, 16, 510, 7332, 1694, 1128, 748, 16103, 718, 1307, 28772, 1273, 10127, 11571, 10184, 18, 510, 459, 15290, 18284, 16, 2874, 7005, 282, 803, 11258, 322, 1698, 322, 42053, 18, 629, 10899, 16, 374, 1974, 656, 14156, 17318, 12162, 33807, 6688, 519, 3915, 8900, 861, 365, 12354, 8846, 16, 374, 26039, 6992, 873, 6354, 18692, 349, 1128, 748, 16103, 613, 7431, 25817, 8042, 18, 39952, 16, 374, 478, 26232, 2497, 470, 28029, 530, 7512, 7802, 10223, 5512, 2273, 17066, 18, 967, 803, 282, 1078, 309, 1247, 290, 38508, 7802, 399, 423, 32327, 343, 262, 1192, 46060, 957, 34066, 290, 12584, 547, 478, 22980, 464, 290, 3982, 1896, 763, 470, 1251, 3187, 6150, 3216, 1134, 18, 478, 1182, 433, 343, 262, 510, 39676, 4960, 3338, 24411, 16, 2733, 575, 685, 2041, 1711, 262, 439, 877, 34334, 16, 510, 1109, 4419, 28638, 778, 12987, 18, 651, 4530, 3216, 1134, 912, 39556, 478, 22980, 266, 290, 3982, 1896, 763, 861, 629, 3684, 16, 374, 481, 13547, 549, 9200, 861, 2046, 3163, 28638, 613, 39079, 31311, 18, 9114, 4776, 2158, 8846, 16, 374, 7190, 478, 3975, 3979, 718, 7586, 470, 7451, 309, 25499, 32327, 343, 262, 510, 34892, 452, 11353, 476, 669, 16, 1029, 726, 3828, 16, 374, 16, 281, 3084, 45947, 16, 505, 14463, 2826, 50234, 478, 49256, 30433, 470, 8802, 3734, 779, 18, 403, 2222, 575, 6153, 5862, 10575, 1130, 4241, 534, 13949, 16, 12352, 1815, 3610, 9, 835, 309, 36766, 16, 1038, 15419, 13739, 19574, 282, 12938, 13111, 779, 18, 5181, 16, 9770, 478, 49256, 30433, 910, 282, 1423, 3678, 16, 12698, 16, 374, 687, 3216, 23414, 5022, 37179, 309, 32327, 343, 262, 18, 5043, 16, 428, 13120, 16, 26039, 6992, 873, 1698, 10419, 360, 4116, 29672, 2909, 13913, 16, 827, 6315, 301, 345, 5123, 43606, 554, 8633, 282, 10434, 18, 39016, 1472, 8097, 16, 374, 282, 28731, 11258, 7561, 11254, 32327, 343, 262, 16480, 2261, 16287, 16, 1763, 743, 2123, 42875, 289, 47579, 3441, 1619, 15350, 22447, 18, 3791, 28648, 4193, 282, 2590, 478, 26232, 2466, 470, 289, 24900, 837, 478, 780, 455, 607, 470, 459, 1602, 16, 3110, 12473, 860, 2383, 83, 16437, 1956, 1044, 83, 18, 1939, 17, 7745, 4960, 26940, 282, 3106, 10287, 416, 26403, 43606, 554, 309, 3022, 14631, 8508, 18, 365, 1423, 3678, 16, 9770, 32791, 1918, 6454, 718, 7586, 4540, 1569, 18787, 7512, 13826, 432, 519, 25817, 5041, 3763, 18, 365, 28731, 11258, 459, 1602, 7609, 2123, 16287, 16, 1763, 743, 2846, 37253, 289, 47579, 3441, 1619, 15350, 22447, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 38474, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 823, 2030, 23773, 11854, 16, 40376, 7734, 349, 48953, 3731, 323, 282, 8579, 1433, 16, 349, 1205, 33725, 309, 23088, 5999, 3771, 25941, 2712, 334, 20919, 36597, 1576, 1643, 18, 2171, 368, 9361, 2294, 14758, 1033, 430, 3763, 20896, 16280, 38285, 16, 27231, 42450, 505, 309, 2923, 11965, 2198, 14093, 624, 16, 424, 843, 36108, 4770, 1133, 11031, 282, 1175, 18, 31224, 30, 1659, 17772, 11854, 16, 40376, 7734, 349, 3731, 323, 541, 14034, 2477, 282, 8579, 1433, 16, 4893, 33725, 349, 4722, 1205, 18, 999, 37356, 309, 18088, 3589, 32284, 282, 11965, 6238, 14093, 1207, 16, 334, 3761, 309, 6398, 4209, 4018, 779, 16, 349, 30326, 1912, 4776, 20353, 1032, 1618, 1135, 510, 481, 309, 23088, 9, 1143, 16, 828, 349, 39837, 1205, 473, 6091, 25, 3731, 934, 5301, 48240, 16303, 1624, 26929, 309, 5024, 378, 12255, 434, 10015, 10676, 18, 3771, 404, 14872, 5906, 282, 4784, 2875, 36597, 1576, 1643, 510, 3436, 5999, 4802, 4381, 349, 2872, 510, 38449, 473, 6091, 21956, 1787, 24507, 16, 8044, 2145, 14872, 1061, 9, 40376, 7734, 349, 48953, 3731, 323, 18, 19325, 448, 6153, 5643, 33023, 898, 38052, 282, 10676, 282, 5049, 1045, 18, 4185, 10106, 349, 1420, 16, 2003, 25121, 4694, 3131, 5325, 282, 430, 3763, 20896, 16280, 38285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25599, 282, 3106, 2223, 18395, 322, 687, 7522, 16, 1586, 1623, 541, 1047, 2410, 22304, 14762, 18, 365, 2604, 17, 277, 15435, 9180, 1919, 2815, 16, 374, 478, 1546, 13967, 349, 6551, 861, 478, 1358, 2259, 13967, 349, 6551, 16, 1548, 374, 1749, 1336, 15170, 31, 417, 322, 3027, 13967, 16, 428, 19014, 16, 282, 23587, 5670, 910, 510, 1109, 15435, 9180, 1919, 16, 30634, 16, 374, 492, 2002, 322, 15892, 267, 5077, 965, 294, 20740, 32739, 289, 322, 3885, 1738, 19069, 16, 282, 1639, 505, 7860, 6985, 18, 2949, 7179, 25099, 329, 30077, 1038, 8849, 32365, 29956, 16, 2486, 492, 3619, 282, 3734, 17, 277, 16, 367, 282, 10264, 808, 492, 29569, 1852, 47292, 42233, 287, 18, 478, 30688, 331, 417, 3478, 3660, 282, 42233, 298, 18, 629, 15130, 1332, 42233, 269, 18, 889, 8669, 549, 8768, 910, 510, 2815, 15435, 9180, 1919, 282, 3998, 779, 18, 817, 5692, 16, 374, 975, 37176, 5517, 42233, 287, 16, 289, 492, 5273, 2969, 675, 269, 1275, 939, 42934, 21041, 16, 1029, 685, 4073, 928, 478, 404, 31710, 416, 20198, 470, 282, 43754, 1045, 18, 365, 12500, 289, 11500, 978, 779, 21477, 478, 10150, 3951, 448, 7792, 470, 281, 12070, 15435, 9180, 1919, 289, 22234, 4938, 4508, 626, 307, 16, 1029, 1943, 685, 6886, 282, 1175, 16, 10490, 9650, 3382, 18, 985, 9321, 3781, 17, 15975, 28455, 9409, 3495, 818, 283, 1624, 9402, 32362, 2458, 3860, 477, 25517, 30077, 18, 478, 47387, 15435, 9180, 1919, 322, 24185, 364, 6402, 21492, 16, 639, 19056, 49005, 282, 36087, 298, 289, 22004, 11607, 26581, 16, 3118, 2760, 659, 43374, 2764, 349, 3483, 4490, 19092, 910, 510, 16926, 678, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 478, 49256, 30433, 470, 5691, 10132, 11876, 3008, 2815, 290, 26665, 1251, 1128, 748, 16103, 1703, 13403, 2854, 2086, 4304, 2368, 32327, 343, 262, 289, 478, 8706, 5325, 861, 31224, 30, 22681, 478, 49256, 30433, 470, 5691, 10132, 11876, 3008, 2815, 16, 374, 1128, 748, 16103, 778, 32124, 2086, 4304, 388, 32327, 343, 262, 895, 12848, 8616, 334, 17147, 8900, 18, 478, 3096, 21231, 808, 2158, 32327, 343, 262, 5575, 5239, 17, 4743, 323, 26665, 281, 478, 8706, 5325, 910, 510, 7332, 1694, 11876, 3008, 27275, 18, 4756, 39914, 2815, 16, 374, 322, 21159, 411, 4966, 519, 3915, 8900, 17, 11622, 19, 4234, 18, 478, 1358, 2060, 16, 374, 3216, 44198, 13225, 839, 8885, 541, 924, 16, 753, 8969, 703, 282, 10434, 16, 510, 7332, 1694, 1128, 748, 16103, 718, 1307, 28772, 1273, 10127, 11571, 10184, 18, 510, 459, 15290, 18284, 16, 2874, 7005, 282, 803, 11258, 322, 1698, 322, 42053, 18, 629, 10899, 16, 374, 1974, 656, 14156, 17318, 12162, 33807, 6688, 519, 3915, 8900, 861, 365, 12354, 8846, 16, 374, 26039, 6992, 873, 6354, 18692, 349, 1128, 748, 16103, 613, 7431, 25817, 8042, 18, 39952, 16, 374, 478, 26232, 2497, 470, 28029, 530, 7512, 7802, 10223, 5512, 2273, 17066, 18, 967, 803, 282, 1078, 309, 1247, 290, 38508, 7802, 399, 423, 32327, 343, 262, 1192, 46060, 957, 34066, 290, 12584, 547, 478, 22980, 464, 290, 3982, 1896, 763, 470, 1251, 3187, 6150, 3216, 1134, 18, 478, 1182, 433, 343, 262, 510, 39676, 4960, 3338, 24411, 16, 2733, 575, 685, 2041, 1711, 262, 439, 877, 34334, 16, 510, 1109, 4419, 28638, 778, 12987, 18, 651, 4530, 3216, 1134, 912, 39556, 478, 22980, 266, 290, 3982, 1896, 763, 861, 629, 3684, 16, 374, 481, 13547, 549, 9200, 861, 2046, 3163, 28638, 613, 39079, 31311, 18, 9114, 4776, 2158, 8846, 16, 374, 7190, 478, 3975, 3979, 718, 7586, 470, 7451, 309, 25499, 32327, 343, 262, 510, 34892, 452, 11353, 476, 669, 16, 1029, 726, 3828, 16, 374, 16, 281, 3084, 45947, 16, 505, 14463, 2826, 50234, 478, 49256, 30433, 470, 8802, 3734, 779, 18, 403, 2222, 575, 6153, 5862, 10575, 1130, 4241, 534, 13949, 16, 12352, 1815, 3610, 9, 835, 309, 36766, 16, 1038, 15419, 13739, 19574, 282, 12938, 13111, 779, 18, 5181, 16, 9770, 478, 49256, 30433, 910, 282, 1423, 3678, 16, 12698, 16, 374, 687, 3216, 23414, 5022, 37179, 309, 32327, 343, 262, 18, 5043, 16, 428, 13120, 16, 26039, 6992, 873, 1698, 10419, 360, 4116, 29672, 2909, 13913, 16, 827, 6315, 301, 345, 5123, 43606, 554, 8633, 282, 10434, 18, 39016, 1472, 8097, 16, 374, 282, 28731, 11258, 7561, 11254, 32327, 343, 262, 16480, 2261, 16287, 16, 1763, 743, 2123, 42875, 289, 47579, 3441, 1619, 15350, 22447, 18, 3791, 28648, 4193, 282, 2590, 478, 26232, 2466, 470, 289, 24900, 837, 478, 780, 455, 607, 470, 459, 1602, 16, 3110, 12473, 860, 2383, 83, 16437, 1956, 1044, 83, 18, 1939, 17, 7745, 4960, 26940, 282, 3106, 10287, 416, 26403, 43606, 554, 309, 3022, 14631, 8508, 18, 365, 1423, 3678, 16, 9770, 32791, 1918, 6454, 718, 7586, 4540, 1569, 18787, 7512, 13826, 432, 519, 25817, 5041, 3763, 18, 365, 28731, 11258, 459, 1602, 7609, 2123, 16287, 16, 1763, 743, 2846, 37253, 289, 47579, 3441, 1619, 15350, 22447, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 38474, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 823, 2030, 23773, 11854, 16, 40376, 7734, 349, 48953, 3731, 323, 282, 8579, 1433, 16, 349, 1205, 33725, 309, 23088, 5999, 3771, 25941, 2712, 334, 20919, 36597, 1576, 1643, 18, 2171, 368, 9361, 2294, 14758, 1033, 430, 3763, 20896, 16280, 38285, 16, 27231, 42450, 505, 309, 2923, 11965, 2198, 14093, 624, 16, 424, 843, 36108, 4770, 1133, 11031, 282, 1175, 18, 31224, 30, 1659, 17772, 11854, 16, 40376, 7734, 349, 3731, 323, 541, 14034, 2477, 282, 8579, 1433, 16, 4893, 33725, 349, 4722, 1205, 18, 999, 37356, 309, 18088, 3589, 32284, 282, 11965, 6238, 14093, 1207, 16, 334, 3761, 309, 6398, 4209, 4018, 779, 16, 349, 30326, 1912, 4776, 20353, 1032, 1618, 1135, 510, 481, 309, 23088, 9, 1143, 16, 828, 349, 39837, 1205, 473, 6091, 25, 3731, 934, 5301, 48240, 16303, 1624, 26929, 309, 5024, 378, 12255, 434, 10015, 10676, 18, 3771, 404, 14872, 5906, 282, 4784, 2875, 36597, 1576, 1643, 510, 3436, 5999, 4802, 4381, 349, 2872, 510, 38449, 473, 6091, 21956, 1787, 24507, 16, 8044, 2145, 14872, 1061, 9, 40376, 7734, 349, 48953, 3731, 323, 18, 19325, 448, 6153, 5643, 33023, 898, 38052, 282, 10676, 282, 5049, 1045, 18, 4185, 10106, 349, 1420, 16, 2003, 25121, 4694, 3131, 5325, 282, 430, 3763, 20896, 16280, 38285 ]
[ 473, 29090, 3991, 670, 23232, 536, 13, 289, 953, 40386, 6153, 1519, 505, 282, 11965, 3732, 14093, 662, 18, 11626, 40399, 5695, 2990, 309, 18088, 3589, 32284, 289, 8425, 428, 3989, 17879, 289, 21603, 1480, 19058, 506, 282, 4008, 18, 824, 8459, 14857, 16, 5816, 3250, 282, 4440, 1045, 16, 1749, 16, 6153, 756, 2508, 322, 2619, 430, 3763, 20896, 16280, 38285, 16, 1698, 3604, 865, 309, 393, 8557, 1248, 2852, 986, 16, 9513, 19417, 1061, 3763, 20896, 16280, 38285, 510, 1248, 1421, 779, 16, 1533, 3763, 20896, 16280, 38285, 510, 1248, 1272, 779, 18, 967, 803, 282, 22754, 942, 8219, 1855, 322, 1033, 2706, 7418, 11404, 2993, 953, 6153, 7667, 282, 2713, 3595, 28356, 553, 16, 8296, 670, 2393, 31294, 18, 478, 4441, 2862, 16, 374, 827, 3483, 2773, 22754, 282, 5214, 23455, 349, 1061, 3763, 20896, 16280, 38285, 16, 502, 428, 6153, 783, 349, 283, 266, 484, 687, 2301, 722, 8990, 910, 510, 45670, 5037, 1189, 14740, 15099, 30345, 2241, 6794, 1112, 444, 951, 9222, 1170, 6260, 504, 22287, 28465, 18, 999, 4101, 1912, 4776, 5995, 309, 9814, 3512, 516, 3942, 516, 22754, 29076, 10208, 424, 26013, 309, 2287, 16, 21, 7418, 5095, 26646, 282, 50038, 5436, 969, 7436, 4545, 18, 478, 983, 748, 22506, 309, 29672, 8751, 22754, 282, 14109, 2341, 4030, 28872, 37598, 18, 6682, 5259, 9, 10241, 6582, 15341, 491, 3763, 20896, 16280, 38285, 2270, 1886, 309, 30625, 910, 510, 2548, 9216, 9487, 7043, 12712, 282, 27539, 2724, 24907, 2151, 395, 49588, 18, 15243, 26916, 30625, 10664, 416, 10035, 21285, 16, 39860, 27172, 13050, 16, 2183, 2435, 5616, 758, 1125, 2131, 353, 281, 18379, 12408, 289, 36554, 2483, 758, 3140, 1134, 18, 478, 20314, 8229, 542, 16, 289, 15243, 282, 4810, 16, 5702, 6993, 42057, 541, 35041, 432, 1512, 334, 4547, 8290, 16, 510, 18584, 2712, 5037, 15352, 4211, 17, 406, 353, 13532, 282, 969, 6109, 980, 860, 5789, 38596, 14816, 267, 39396, 18, 510, 49381, 873, 475, 764, 41522, 15243, 428, 28643, 8999, 282, 16109, 861, 16394, 38049, 349, 1017, 7899, 477, 1963, 11854, 16, 334, 4734, 8667, 16, 19323, 2957, 5481, 4307, 2135, 11268, 282, 4599, 8448, 16427, 1011, 27991, 1522, 542, 12984, 1175, 9001, 9620, 18, 740, 3604, 33853, 18088, 4368, 13423, 282, 8579, 1433, 4362, 475, 16859, 16, 374, 31490, 19187, 40311, 3731, 18, 478, 35485, 10093, 11854, 16, 40376, 7734, 349, 7396, 1017, 7899, 16, 510, 453, 22168, 478, 419, 8288, 448, 6885, 28328, 861, 1606, 6696, 3604, 42047, 16364, 16, 367, 8579, 1433, 41522, 428, 3989, 7095, 668, 4176, 8984, 2355, 29365, 910, 510, 10050, 6357, 969, 6109, 815, 860, 22798, 9543, 34788, 7929, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 496, 451, 8388, 451, 10950, 1175, 16, 9727, 10574, 10569, 288, 2594, 26811, 8137, 9832, 16, 46609, 282, 33319, 19900, 294, 1939, 5493, 1045, 16, 7332, 24036, 29861, 11539, 15479, 411, 15168, 2145, 18, 824, 505, 3163, 16, 4498, 3419, 290, 44534, 1165, 478, 20181, 1532, 17, 618, 910, 541, 8274, 1639, 19186, 12483, 5009, 4318, 24552, 1888, 6272, 24831, 25970, 18, 21886, 16, 374, 1542, 44534, 343, 6048, 1807, 17019, 16, 2588, 2145, 309, 5734, 2083, 13190, 649, 322, 895, 18, 31224, 30, 42699, 10126, 451, 8388, 451, 10950, 16, 1029, 40013, 10569, 288, 2594, 26811, 8137, 9832, 16, 840, 6042, 286, 282, 33319, 19900, 294, 1939, 5493, 1045, 16, 5273, 35465, 2145, 18, 1367, 803, 3110, 13205, 24036, 29861, 11539, 477, 7755, 309, 7897, 18, 365, 31901, 1038, 13462, 16, 374, 294, 2856, 3017, 272, 12350, 13342, 3400, 49466, 49473, 2440, 519, 10504, 18, 824, 3163, 21961, 22065, 16, 1029, 8641, 9372, 811, 281, 11205, 304, 22612, 5418, 21746, 2145, 16, 13115, 282, 4432, 16, 282, 4810, 44534, 382, 478, 20181, 1532, 17, 618, 861, 6592, 3352, 282, 31901, 16, 478, 12833, 8274, 18942, 10504, 44534, 368, 5343, 5009, 4318, 16999, 297, 38752, 309, 12847, 4696, 24831, 25970, 16, 282, 4810, 16, 34688, 1195, 833, 432, 11412, 861, 985, 48484, 282, 13453, 16, 44534, 382, 978, 4528, 478, 42579, 487, 4463, 3058, 1939, 6190, 2499, 31940, 1901, 37328, 23535, 8187, 478, 31649, 3897, 470, 861, 6422, 16, 4101, 16, 428, 13462, 282, 31901, 16, 478, 5275, 318, 17624, 519, 5544, 37949, 670, 10569, 288, 2594, 7492, 26980, 861, 640, 9577, 962, 1038, 44893, 16, 374, 2197, 44534, 343, 14830, 26944, 519, 1156, 10569, 288, 2594, 7492, 8187, 16, 374, 1623, 478, 2167, 2105, 323, 16, 2588, 2145, 282, 4675, 808, 322, 895, 13190, 649, 861, 640, 5734, 2083, 25318, 17, 5350, 1133, 3402, 473, 677, 13164, 13, 2145, 1698, 6348, 2418, 31172, 30074, 4528, 478, 630, 14448, 262, 910, 515, 309, 9837, 1119, 745, 764, 322, 4154, 1007, 30029, 16, 961, 3005, 373, 12807, 34305, 10569, 288, 2594, 8205, 13436, 18, 1681, 3704, 382, 9206, 1658, 8042, 478, 20181, 1532, 470, 289, 1658, 8042, 618, 478, 20181, 1532, 17, 618, 470, 4014, 576, 7589, 539, 29659, 1880, 16301, 13374, 6657, 478, 26732, 375, 861, 640, 478, 37460, 429, 466, 470, 1624, 1029, 12578, 282, 3580, 5451, 314, 2106, 2557, 47962, 1767, 16, 37675, 4698, 19311, 44534, 368, 411, 10504, 16482, 18, 365, 11424, 2452, 11604, 294, 19983, 18254, 726, 9311, 1421, 49473, 17713, 33110, 2009, 5115, 1658, 8042, 478, 20181, 1532, 11593, 50162, 6166, 4298, 1502, 18529, 344, 1270, 9979, 289, 17035, 448, 6166, 3720, 7323, 778, 470, 289, 478, 33408, 421, 1305, 1408, 11523, 11333, 2852, 44534, 368, 30, 478, 44578, 5562, 4137, 910, 478, 26481, 7974, 225, 910, 478, 33740, 326, 1265, 406, 948, 33743, 3690, 910, 478, 27086, 2314, 755, 3720, 8780, 910, 478, 44578, 5562, 33540, 778, 470, 510, 726, 7997, 925, 18, 4663, 7955, 14968, 334, 22570, 2373, 17152, 15922, 1658, 8042, 618, 478, 20181, 1532, 17, 618, 861, 6422, 16, 27919, 478, 44578, 5562, 4137, 470, 15769, 15333, 282, 7573, 294, 25831, 1045, 18, 640, 5734, 2083, 7554, 7312, 4704, 1133, 289, 18909, 15129, 18, 3647, 505, 19171, 726, 9467, 4110, 289, 38117, 282, 39509, 5214, 35058, 18, 50129, 16, 374, 478, 44578, 5562, 4137, 470, 5304, 13676, 309, 9324, 726, 294, 9747, 978, 779, 18, 1397, 5327, 13436, 478, 31649, 3897, 910, 502, 678, 23735, 282, 35058, 764, 282, 3998, 3734, 779, 18, 6422, 16, 481, 4243, 282, 2361, 808, 281, 2302, 6726, 282, 2452, 11604, 25949, 478, 20888, 18529, 1554, 346, 225, 861, 385 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29090, 3991, 670, 23232, 536, 13, 289, 953, 40386, 6153, 1519, 505, 282, 11965, 3732, 14093, 662, 18, 11626, 40399, 5695, 2990, 309, 18088, 3589, 32284, 289, 8425, 428, 3989, 17879, 289, 21603, 1480, 19058, 506, 282, 4008, 18, 824, 8459, 14857, 16, 5816, 3250, 282, 4440, 1045, 16, 1749, 16, 6153, 756, 2508, 322, 2619, 430, 3763, 20896, 16280, 38285, 16, 1698, 3604, 865, 309, 393, 8557, 1248, 2852, 986, 16, 9513, 19417, 1061, 3763, 20896, 16280, 38285, 510, 1248, 1421, 779, 16, 1533, 3763, 20896, 16280, 38285, 510, 1248, 1272, 779, 18, 967, 803, 282, 22754, 942, 8219, 1855, 322, 1033, 2706, 7418, 11404, 2993, 953, 6153, 7667, 282, 2713, 3595, 28356, 553, 16, 8296, 670, 2393, 31294, 18, 478, 4441, 2862, 16, 374, 827, 3483, 2773, 22754, 282, 5214, 23455, 349, 1061, 3763, 20896, 16280, 38285, 16, 502, 428, 6153, 783, 349, 283, 266, 484, 687, 2301, 722, 8990, 910, 510, 45670, 5037, 1189, 14740, 15099, 30345, 2241, 6794, 1112, 444, 951, 9222, 1170, 6260, 504, 22287, 28465, 18, 999, 4101, 1912, 4776, 5995, 309, 9814, 3512, 516, 3942, 516, 22754, 29076, 10208, 424, 26013, 309, 2287, 16, 21, 7418, 5095, 26646, 282, 50038, 5436, 969, 7436, 4545, 18, 478, 983, 748, 22506, 309, 29672, 8751, 22754, 282, 14109, 2341, 4030, 28872, 37598, 18, 6682, 5259, 9, 10241, 6582, 15341, 491, 3763, 20896, 16280, 38285, 2270, 1886, 309, 30625, 910, 510, 2548, 9216, 9487, 7043, 12712, 282, 27539, 2724, 24907, 2151, 395, 49588, 18, 15243, 26916, 30625, 10664, 416, 10035, 21285, 16, 39860, 27172, 13050, 16, 2183, 2435, 5616, 758, 1125, 2131, 353, 281, 18379, 12408, 289, 36554, 2483, 758, 3140, 1134, 18, 478, 20314, 8229, 542, 16, 289, 15243, 282, 4810, 16, 5702, 6993, 42057, 541, 35041, 432, 1512, 334, 4547, 8290, 16, 510, 18584, 2712, 5037, 15352, 4211, 17, 406, 353, 13532, 282, 969, 6109, 980, 860, 5789, 38596, 14816, 267, 39396, 18, 510, 49381, 873, 475, 764, 41522, 15243, 428, 28643, 8999, 282, 16109, 861, 16394, 38049, 349, 1017, 7899, 477, 1963, 11854, 16, 334, 4734, 8667, 16, 19323, 2957, 5481, 4307, 2135, 11268, 282, 4599, 8448, 16427, 1011, 27991, 1522, 542, 12984, 1175, 9001, 9620, 18, 740, 3604, 33853, 18088, 4368, 13423, 282, 8579, 1433, 4362, 475, 16859, 16, 374, 31490, 19187, 40311, 3731, 18, 478, 35485, 10093, 11854, 16, 40376, 7734, 349, 7396, 1017, 7899, 16, 510, 453, 22168, 478, 419, 8288, 448, 6885, 28328, 861, 1606, 6696, 3604, 42047, 16364, 16, 367, 8579, 1433, 41522, 428, 3989, 7095, 668, 4176, 8984, 2355, 29365, 910, 510, 10050, 6357, 969, 6109, 815, 860, 22798, 9543, 34788, 7929, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 496, 451, 8388, 451, 10950, 1175, 16, 9727, 10574, 10569, 288, 2594, 26811, 8137, 9832, 16, 46609, 282, 33319, 19900, 294, 1939, 5493, 1045, 16, 7332, 24036, 29861, 11539, 15479, 411, 15168, 2145, 18, 824, 505, 3163, 16, 4498, 3419, 290, 44534, 1165, 478, 20181, 1532, 17, 618, 910, 541, 8274, 1639, 19186, 12483, 5009, 4318, 24552, 1888, 6272, 24831, 25970, 18, 21886, 16, 374, 1542, 44534, 343, 6048, 1807, 17019, 16, 2588, 2145, 309, 5734, 2083, 13190, 649, 322, 895, 18, 31224, 30, 42699, 10126, 451, 8388, 451, 10950, 16, 1029, 40013, 10569, 288, 2594, 26811, 8137, 9832, 16, 840, 6042, 286, 282, 33319, 19900, 294, 1939, 5493, 1045, 16, 5273, 35465, 2145, 18, 1367, 803, 3110, 13205, 24036, 29861, 11539, 477, 7755, 309, 7897, 18, 365, 31901, 1038, 13462, 16, 374, 294, 2856, 3017, 272, 12350, 13342, 3400, 49466, 49473, 2440, 519, 10504, 18, 824, 3163, 21961, 22065, 16, 1029, 8641, 9372, 811, 281, 11205, 304, 22612, 5418, 21746, 2145, 16, 13115, 282, 4432, 16, 282, 4810, 44534, 382, 478, 20181, 1532, 17, 618, 861, 6592, 3352, 282, 31901, 16, 478, 12833, 8274, 18942, 10504, 44534, 368, 5343, 5009, 4318, 16999, 297, 38752, 309, 12847, 4696, 24831, 25970, 16, 282, 4810, 16, 34688, 1195, 833, 432, 11412, 861, 985, 48484, 282, 13453, 16, 44534, 382, 978, 4528, 478, 42579, 487, 4463, 3058, 1939, 6190, 2499, 31940, 1901, 37328, 23535, 8187, 478, 31649, 3897, 470, 861, 6422, 16, 4101, 16, 428, 13462, 282, 31901, 16, 478, 5275, 318, 17624, 519, 5544, 37949, 670, 10569, 288, 2594, 7492, 26980, 861, 640, 9577, 962, 1038, 44893, 16, 374, 2197, 44534, 343, 14830, 26944, 519, 1156, 10569, 288, 2594, 7492, 8187, 16, 374, 1623, 478, 2167, 2105, 323, 16, 2588, 2145, 282, 4675, 808, 322, 895, 13190, 649, 861, 640, 5734, 2083, 25318, 17, 5350, 1133, 3402, 473, 677, 13164, 13, 2145, 1698, 6348, 2418, 31172, 30074, 4528, 478, 630, 14448, 262, 910, 515, 309, 9837, 1119, 745, 764, 322, 4154, 1007, 30029, 16, 961, 3005, 373, 12807, 34305, 10569, 288, 2594, 8205, 13436, 18, 1681, 3704, 382, 9206, 1658, 8042, 478, 20181, 1532, 470, 289, 1658, 8042, 618, 478, 20181, 1532, 17, 618, 470, 4014, 576, 7589, 539, 29659, 1880, 16301, 13374, 6657, 478, 26732, 375, 861, 640, 478, 37460, 429, 466, 470, 1624, 1029, 12578, 282, 3580, 5451, 314, 2106, 2557, 47962, 1767, 16, 37675, 4698, 19311, 44534, 368, 411, 10504, 16482, 18, 365, 11424, 2452, 11604, 294, 19983, 18254, 726, 9311, 1421, 49473, 17713, 33110, 2009, 5115, 1658, 8042, 478, 20181, 1532, 11593, 50162, 6166, 4298, 1502, 18529, 344, 1270, 9979, 289, 17035, 448, 6166, 3720, 7323, 778, 470, 289, 478, 33408, 421, 1305, 1408, 11523, 11333, 2852, 44534, 368, 30, 478, 44578, 5562, 4137, 910, 478, 26481, 7974, 225, 910, 478, 33740, 326, 1265, 406, 948, 33743, 3690, 910, 478, 27086, 2314, 755, 3720, 8780, 910, 478, 44578, 5562, 33540, 778, 470, 510, 726, 7997, 925, 18, 4663, 7955, 14968, 334, 22570, 2373, 17152, 15922, 1658, 8042, 618, 478, 20181, 1532, 17, 618, 861, 6422, 16, 27919, 478, 44578, 5562, 4137, 470, 15769, 15333, 282, 7573, 294, 25831, 1045, 18, 640, 5734, 2083, 7554, 7312, 4704, 1133, 289, 18909, 15129, 18, 3647, 505, 19171, 726, 9467, 4110, 289, 38117, 282, 39509, 5214, 35058, 18, 50129, 16, 374, 478, 44578, 5562, 4137, 470, 5304, 13676, 309, 9324, 726, 294, 9747, 978, 779, 18, 1397, 5327, 13436, 478, 31649, 3897, 910, 502, 678, 23735, 282, 35058, 764, 282, 3998, 3734, 779, 18, 6422, 16, 481, 4243, 282, 2361, 808, 281, 2302, 6726, 282, 2452, 11604, 25949, 478, 20888, 18529, 1554, 346, 225, 861, 385 ]
[ 1110, 1326, 478, 983, 4642, 265, 470, 289, 478, 31649, 3897, 470, 3929, 22736, 13374, 37105, 37949, 1333, 1175, 18, 6682, 924, 16, 745, 8026, 4364, 8485, 2403, 850, 2640, 305, 281, 2145, 309, 13673, 2555, 17, 5041, 986, 18, 22802, 871, 9728, 309, 10504, 1910, 12429, 8482, 18, 4988, 18653, 2232, 7566, 510, 8653, 16, 28, 37274, 18, 1253, 14830, 17624, 360, 7518, 519, 5544, 10569, 288, 2594, 7492, 13759, 312, 14280, 37949, 26980, 32060, 309, 13172, 7343, 24412, 430, 16, 3114, 37274, 16, 961, 294, 2222, 575, 10432, 12631, 27639, 14036, 16374, 334, 13179, 289, 30593, 18, 4756, 29861, 11539, 25865, 290, 970, 16, 374, 10569, 288, 2594, 6589, 5447, 8260, 17, 48471, 451, 5851, 478, 684, 375, 1646, 470, 289, 8187, 451, 5851, 281, 10569, 288, 2594, 12248, 17106, 4269, 4781, 304, 478, 618, 1736, 23866, 470, 1747, 34110, 282, 33319, 19900, 294, 25831, 1045, 18, 415, 4014, 1165, 978, 4090, 20024, 4770, 1175, 4137, 6732, 4848, 567, 808, 40645, 294, 3197, 38458, 2732, 1433, 430, 3990, 18, 365, 8151, 7294, 282, 19267, 1175, 12002, 290, 3998, 17035, 434, 4981, 478, 618, 1736, 47900, 861, 3026, 16170, 16, 374, 3885, 274, 12866, 4940, 11724, 343, 10139, 23517, 477, 12494, 16, 1586, 17045, 7872, 17276, 1033, 828, 282, 1939, 445, 18, 6422, 16, 1011, 40645, 7179, 15465, 12681, 12189, 411, 16145, 13158, 403, 383, 353, 2815, 3296, 461, 17915, 16, 374, 3531, 10933, 13436, 281, 23504, 1698, 13015, 1992, 25246, 11624, 14508, 10950, 2145, 16, 289, 24478, 2926, 4549, 48471, 416, 7225, 473, 34100, 13, 322, 1747, 10432, 697, 11011, 18, 817, 4725, 16, 374, 3531, 13436, 478, 684, 375, 1646, 910, 961, 17626, 309, 37217, 12807, 266, 20487, 44822, 17, 8914, 16, 942, 26944, 726, 281, 7097, 384, 481, 5073, 697, 2319, 6847, 289, 2913, 968, 18, 478, 11459, 2197, 4461, 18577, 4549, 48471, 432, 25970, 322, 895, 281, 1420, 2141, 1329, 2048, 18, 889, 18491, 424, 6335, 17019, 1992, 25246, 11624, 14508, 10950, 2145, 18, 1937, 3419, 5447, 44678, 281, 14120, 36985, 16, 492, 3716, 1329, 322, 895, 2048, 1279, 978, 10601, 910, 510, 9299, 12681, 12189, 18, 5043, 16, 20840, 31460, 11494, 37694, 24910, 20176, 367, 870, 37716, 20890, 322, 33797, 414, 18, 817, 2815, 16, 374, 1474, 9626, 17234, 12984, 20319, 1745, 322, 21519, 305, 309, 9118, 2145, 18, 478, 16745, 16, 374, 492, 7846, 282, 1967, 46245, 306, 313, 13021, 16, 639, 6494, 5114, 1569, 18, 11489, 8811, 6597, 1177, 1247, 939, 1904, 18, 37343, 411, 924, 16, 374, 2815, 4770, 6732, 16, 20890, 322, 22431, 3338, 32289, 43746, 18, 629, 20675, 975, 14157, 25678, 25970, 910, 510, 4725, 24910, 20176, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 626, 20897, 457, 2243, 660, 510, 22244, 718, 7638, 17, 2589, 289, 14818, 28253, 835, 4717, 510, 1281, 986, 2158, 34856, 282, 5453, 10478, 11100, 28292, 334, 8823, 294, 14935, 582, 18, 824, 3163, 27412, 1027, 16, 492, 18660, 3729, 2038, 18, 2046, 583, 23024, 5273, 16, 374, 4243, 1565, 8845, 12218, 18, 31224, 30, 12134, 4749, 4552, 11287, 22244, 718, 10195, 769, 15630, 461, 32208, 47806, 4865, 48737, 11909, 266, 9321, 290, 970, 16, 374, 30667, 7638, 17, 13522, 25359, 32658, 457, 2243, 660, 322, 1494, 11531, 2195, 6569, 3136, 23642, 41941, 13389, 617, 294, 2012, 16679, 26310, 18, 824, 722, 3163, 16, 492, 475, 575, 12983, 5453, 10478, 1733, 3193, 334, 8823, 294, 12730, 18, 439, 1717, 30, 46780, 869, 289, 3872, 469, 9429, 5618, 21644, 1309, 294, 14411, 18, 824, 3163, 48737, 11909, 266, 16, 26058, 11540, 1281, 986, 2158, 16, 282, 11872, 6383, 779, 16, 309, 14863, 547, 32844, 282, 22244, 1212, 31401, 913, 16, 785, 457, 2243, 660, 764, 322, 13694, 3455, 282, 10035, 1354, 2553, 18, 817, 685, 30421, 16, 2024, 6745, 428, 5794, 9798, 23383, 378, 7286, 457, 2243, 660, 289, 26754, 27166, 18293, 4076, 282, 4356, 14863, 416, 3320, 478, 17007, 12046, 861, 1253, 906, 15622, 1011, 3422, 7680, 9783, 20897, 2230, 301, 831, 282, 10013, 1045, 309, 9613, 4422, 23769, 16, 722, 3300, 510, 14729, 3623, 309, 14165, 2165, 18, 16577, 1293, 2868, 1011, 26369, 11909, 266, 23488, 315, 18585, 290, 14170, 2529, 282, 1360, 14415, 289, 14291, 16, 374, 322, 16768, 8140, 282, 970, 16, 753, 282, 10130, 953, 41282, 281, 5882, 9125, 1335, 3182, 18, 2046, 6396, 808, 722, 5517, 475, 3066, 7356, 25132, 22812, 2977, 16, 289, 14935, 582, 475, 575, 3711, 10919, 10936, 18, 3791, 11909, 266, 39672, 16, 374, 322, 1720, 977, 281, 457, 2243, 660, 1011, 26369, 16, 935, 1011, 924, 16, 428, 492, 1559, 7638, 17, 41854, 25359, 18, 985, 22985, 8851, 32369, 769, 15630, 461, 32208, 47806, 4865, 48243, 9689, 268, 16, 4552, 11287, 6712, 294, 1420, 1833, 1011, 5790, 281, 457, 2243, 660, 30, 478, 4592, 6712, 437, 784, 16, 3387, 906, 14370, 798, 1011, 11330, 281, 457, 2243, 660, 18, 7879, 322, 19538, 697, 4765, 18, 1253, 322, 5382, 16, 374, 1450, 3014, 2240, 282, 1335, 4096, 16, 1548, 374, 656, 5780, 290, 16193, 16, 46818, 282, 3338, 30000, 861, 9689, 268, 14291, 16, 374, 478, 404, 2756, 373, 5543, 30375, 481, 428, 9224, 2837, 30534, 861, 14155, 457, 2243, 660, 24136, 13202, 1519, 14267, 282, 2012, 16679, 11153, 1011, 924, 16, 428, 492, 12307, 1595, 3059, 16, 502, 912, 282, 2604, 1045, 18, 459, 687, 282, 5017, 7314, 10882, 16, 1286, 4189, 16, 6396, 1281, 986, 1011, 8862, 11909, 266, 381, 41317, 464, 23024, 475, 575, 2715, 309, 14267, 18, 478, 1358, 1904, 6680, 1500, 1119, 282, 31401, 913, 18, 889, 639, 18694, 11131, 478, 17007, 12046, 470, 282, 8156, 3623, 309, 25876, 14165, 2165, 18, 740, 4302, 38770, 43194, 282, 1177, 1119, 322, 639, 16, 475, 5683, 1904, 910, 510, 1109, 457, 2243, 660, 16338, 18, 32658, 457, 2243, 660, 13829, 1360, 23564, 6700, 868, 434, 18510, 624, 289, 9130, 7237, 43046, 1634, 2533, 281, 2490, 2306, 36683, 50091, 835, 4109, 18, 817, 11451, 7963, 2195, 290, 2012, 16679, 11153, 428, 290, 478, 35515, 416, 23652, 910, 27834, 290, 3136, 23642, 41941, 13389, 617, 294, 9224, 3276, 914, 1041, 4062, 277, 289, 17985, 1737, 360, 1810, 282, 21989, 1949, 21081, 432, 11630, 1011, 924, 16, 428, 697, 34856, 282, 5453, 10478, 11100, 28292, 18, 824, 505, 3163, 16, 4109, 16, 961, 23054, 281, 20649, 1134, 309, 9224, 2837, 30534, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1110, 1326, 478, 983, 4642, 265, 470, 289, 478, 31649, 3897, 470, 3929, 22736, 13374, 37105, 37949, 1333, 1175, 18, 6682, 924, 16, 745, 8026, 4364, 8485, 2403, 850, 2640, 305, 281, 2145, 309, 13673, 2555, 17, 5041, 986, 18, 22802, 871, 9728, 309, 10504, 1910, 12429, 8482, 18, 4988, 18653, 2232, 7566, 510, 8653, 16, 28, 37274, 18, 1253, 14830, 17624, 360, 7518, 519, 5544, 10569, 288, 2594, 7492, 13759, 312, 14280, 37949, 26980, 32060, 309, 13172, 7343, 24412, 430, 16, 3114, 37274, 16, 961, 294, 2222, 575, 10432, 12631, 27639, 14036, 16374, 334, 13179, 289, 30593, 18, 4756, 29861, 11539, 25865, 290, 970, 16, 374, 10569, 288, 2594, 6589, 5447, 8260, 17, 48471, 451, 5851, 478, 684, 375, 1646, 470, 289, 8187, 451, 5851, 281, 10569, 288, 2594, 12248, 17106, 4269, 4781, 304, 478, 618, 1736, 23866, 470, 1747, 34110, 282, 33319, 19900, 294, 25831, 1045, 18, 415, 4014, 1165, 978, 4090, 20024, 4770, 1175, 4137, 6732, 4848, 567, 808, 40645, 294, 3197, 38458, 2732, 1433, 430, 3990, 18, 365, 8151, 7294, 282, 19267, 1175, 12002, 290, 3998, 17035, 434, 4981, 478, 618, 1736, 47900, 861, 3026, 16170, 16, 374, 3885, 274, 12866, 4940, 11724, 343, 10139, 23517, 477, 12494, 16, 1586, 17045, 7872, 17276, 1033, 828, 282, 1939, 445, 18, 6422, 16, 1011, 40645, 7179, 15465, 12681, 12189, 411, 16145, 13158, 403, 383, 353, 2815, 3296, 461, 17915, 16, 374, 3531, 10933, 13436, 281, 23504, 1698, 13015, 1992, 25246, 11624, 14508, 10950, 2145, 16, 289, 24478, 2926, 4549, 48471, 416, 7225, 473, 34100, 13, 322, 1747, 10432, 697, 11011, 18, 817, 4725, 16, 374, 3531, 13436, 478, 684, 375, 1646, 910, 961, 17626, 309, 37217, 12807, 266, 20487, 44822, 17, 8914, 16, 942, 26944, 726, 281, 7097, 384, 481, 5073, 697, 2319, 6847, 289, 2913, 968, 18, 478, 11459, 2197, 4461, 18577, 4549, 48471, 432, 25970, 322, 895, 281, 1420, 2141, 1329, 2048, 18, 889, 18491, 424, 6335, 17019, 1992, 25246, 11624, 14508, 10950, 2145, 18, 1937, 3419, 5447, 44678, 281, 14120, 36985, 16, 492, 3716, 1329, 322, 895, 2048, 1279, 978, 10601, 910, 510, 9299, 12681, 12189, 18, 5043, 16, 20840, 31460, 11494, 37694, 24910, 20176, 367, 870, 37716, 20890, 322, 33797, 414, 18, 817, 2815, 16, 374, 1474, 9626, 17234, 12984, 20319, 1745, 322, 21519, 305, 309, 9118, 2145, 18, 478, 16745, 16, 374, 492, 7846, 282, 1967, 46245, 306, 313, 13021, 16, 639, 6494, 5114, 1569, 18, 11489, 8811, 6597, 1177, 1247, 939, 1904, 18, 37343, 411, 924, 16, 374, 2815, 4770, 6732, 16, 20890, 322, 22431, 3338, 32289, 43746, 18, 629, 20675, 975, 14157, 25678, 25970, 910, 510, 4725, 24910, 20176, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 626, 20897, 457, 2243, 660, 510, 22244, 718, 7638, 17, 2589, 289, 14818, 28253, 835, 4717, 510, 1281, 986, 2158, 34856, 282, 5453, 10478, 11100, 28292, 334, 8823, 294, 14935, 582, 18, 824, 3163, 27412, 1027, 16, 492, 18660, 3729, 2038, 18, 2046, 583, 23024, 5273, 16, 374, 4243, 1565, 8845, 12218, 18, 31224, 30, 12134, 4749, 4552, 11287, 22244, 718, 10195, 769, 15630, 461, 32208, 47806, 4865, 48737, 11909, 266, 9321, 290, 970, 16, 374, 30667, 7638, 17, 13522, 25359, 32658, 457, 2243, 660, 322, 1494, 11531, 2195, 6569, 3136, 23642, 41941, 13389, 617, 294, 2012, 16679, 26310, 18, 824, 722, 3163, 16, 492, 475, 575, 12983, 5453, 10478, 1733, 3193, 334, 8823, 294, 12730, 18, 439, 1717, 30, 46780, 869, 289, 3872, 469, 9429, 5618, 21644, 1309, 294, 14411, 18, 824, 3163, 48737, 11909, 266, 16, 26058, 11540, 1281, 986, 2158, 16, 282, 11872, 6383, 779, 16, 309, 14863, 547, 32844, 282, 22244, 1212, 31401, 913, 16, 785, 457, 2243, 660, 764, 322, 13694, 3455, 282, 10035, 1354, 2553, 18, 817, 685, 30421, 16, 2024, 6745, 428, 5794, 9798, 23383, 378, 7286, 457, 2243, 660, 289, 26754, 27166, 18293, 4076, 282, 4356, 14863, 416, 3320, 478, 17007, 12046, 861, 1253, 906, 15622, 1011, 3422, 7680, 9783, 20897, 2230, 301, 831, 282, 10013, 1045, 309, 9613, 4422, 23769, 16, 722, 3300, 510, 14729, 3623, 309, 14165, 2165, 18, 16577, 1293, 2868, 1011, 26369, 11909, 266, 23488, 315, 18585, 290, 14170, 2529, 282, 1360, 14415, 289, 14291, 16, 374, 322, 16768, 8140, 282, 970, 16, 753, 282, 10130, 953, 41282, 281, 5882, 9125, 1335, 3182, 18, 2046, 6396, 808, 722, 5517, 475, 3066, 7356, 25132, 22812, 2977, 16, 289, 14935, 582, 475, 575, 3711, 10919, 10936, 18, 3791, 11909, 266, 39672, 16, 374, 322, 1720, 977, 281, 457, 2243, 660, 1011, 26369, 16, 935, 1011, 924, 16, 428, 492, 1559, 7638, 17, 41854, 25359, 18, 985, 22985, 8851, 32369, 769, 15630, 461, 32208, 47806, 4865, 48243, 9689, 268, 16, 4552, 11287, 6712, 294, 1420, 1833, 1011, 5790, 281, 457, 2243, 660, 30, 478, 4592, 6712, 437, 784, 16, 3387, 906, 14370, 798, 1011, 11330, 281, 457, 2243, 660, 18, 7879, 322, 19538, 697, 4765, 18, 1253, 322, 5382, 16, 374, 1450, 3014, 2240, 282, 1335, 4096, 16, 1548, 374, 656, 5780, 290, 16193, 16, 46818, 282, 3338, 30000, 861, 9689, 268, 14291, 16, 374, 478, 404, 2756, 373, 5543, 30375, 481, 428, 9224, 2837, 30534, 861, 14155, 457, 2243, 660, 24136, 13202, 1519, 14267, 282, 2012, 16679, 11153, 1011, 924, 16, 428, 492, 12307, 1595, 3059, 16, 502, 912, 282, 2604, 1045, 18, 459, 687, 282, 5017, 7314, 10882, 16, 1286, 4189, 16, 6396, 1281, 986, 1011, 8862, 11909, 266, 381, 41317, 464, 23024, 475, 575, 2715, 309, 14267, 18, 478, 1358, 1904, 6680, 1500, 1119, 282, 31401, 913, 18, 889, 639, 18694, 11131, 478, 17007, 12046, 470, 282, 8156, 3623, 309, 25876, 14165, 2165, 18, 740, 4302, 38770, 43194, 282, 1177, 1119, 322, 639, 16, 475, 5683, 1904, 910, 510, 1109, 457, 2243, 660, 16338, 18, 32658, 457, 2243, 660, 13829, 1360, 23564, 6700, 868, 434, 18510, 624, 289, 9130, 7237, 43046, 1634, 2533, 281, 2490, 2306, 36683, 50091, 835, 4109, 18, 817, 11451, 7963, 2195, 290, 2012, 16679, 11153, 428, 290, 478, 35515, 416, 23652, 910, 27834, 290, 3136, 23642, 41941, 13389, 617, 294, 9224, 3276, 914, 1041, 4062, 277, 289, 17985, 1737, 360, 1810, 282, 21989, 1949, 21081, 432, 11630, 1011, 924, 16, 428, 697, 34856, 282, 5453, 10478, 11100, 28292, 18, 824, 505, 3163, 16, 4109, 16, 961, 23054, 281, 20649, 1134, 309, 9224, 2837, 30534, 289 ]
[ 371, 10475, 2166, 16, 49552, 19420, 16, 8434, 289, 924, 16, 753, 697, 29902, 414, 18, 1178, 3708, 322, 5273, 20629, 5040, 20916, 4492, 10386, 16, 502, 2504, 322, 2397, 3018, 19544, 18733, 2856, 18, 457, 2243, 660, 16, 428, 492, 583, 3153, 16, 1494, 685, 3893, 16, 374, 294, 3130, 2701, 1627, 918, 14267, 282, 28292, 16, 961, 785, 17, 299, 14694, 294, 31330, 11241, 23603, 18, 478, 1358, 939, 16, 939, 4850, 286, 2651, 1423, 1805, 16, 27069, 1494, 953, 282, 2540, 19360, 289, 32894, 20423, 8149, 1512, 910, 510, 1109, 492, 282, 7337, 1273, 769, 11539, 28708, 1273, 14554, 18, 21575, 17, 13522, 25359, 14403, 16, 374, 4552, 11287, 3207, 322, 453, 44644, 9587, 10927, 16, 13017, 289, 4243, 475, 481, 20378, 12218, 18, 478, 1358, 322, 11503, 16, 374, 24935, 16508, 9205, 5368, 2175, 16, 515, 281, 16841, 14942, 14360, 294, 2222, 13229, 16, 374, 1085, 17, 299, 2107, 16, 2628, 16, 757, 3670, 3534, 3193, 334, 17, 15253, 18, 459, 827, 417, 13475, 1719, 349, 1177, 26058, 5747, 16, 481, 14864, 1548, 16, 374, 417, 3919, 15346, 16, 428, 722, 1965, 322, 20037, 502, 24363, 16, 2486, 1251, 3928, 639, 861, 48737, 11909, 266, 16, 282, 1423, 3678, 16, 10703, 16, 374, 28783, 2826, 44082, 309, 5421, 1119, 1011, 39900, 18, 12725, 334, 505, 3163, 16, 457, 2243, 660, 5086, 310, 322, 290, 281, 7774, 1231, 547, 16, 367, 290, 970, 16, 374, 322, 2946, 290, 17291, 6556, 7735, 30, 478, 6161, 373, 417, 2946, 16, 374, 387, 32153, 842, 15185, 10195, 16, 417, 373, 2002, 322, 685, 4116, 1632, 5495, 1153, 286, 861, 365, 20352, 7638, 17, 2589, 1038, 2271, 4283, 16, 374, 457, 2243, 660, 322, 8908, 309, 5453, 10478, 4587, 9704, 30, 478, 3001, 1494, 685, 939, 4850, 286, 18, 14155, 505, 33597, 17959, 12605, 701, 1717, 282, 21397, 43547, 914, 1041, 4062, 567, 808, 34765, 282, 13785, 4048, 297, 8435, 16, 289, 492, 6344, 305, 27995, 38754, 48543, 289, 21804, 861, 2, 1, 87, 1456, 81, 2448, 30, 14745, 24817, 9637, 5129, 478, 26181, 296, 4069, 470, 289, 478, 18989, 3733, 470, 8056, 329, 22378, 11007, 289, 16552, 3637, 282, 4671, 280, 1231, 328, 541, 8465, 282, 11184, 6798, 17, 47542, 10528, 2665, 309, 42077, 1212, 4993, 16, 6442, 18347, 5792, 18, 4756, 8846, 16, 374, 18347, 11517, 898, 16079, 1007, 5129, 353, 14250, 434, 3594, 18747, 334, 14613, 281, 5173, 8274, 3623, 289, 282, 5118, 281, 44139, 12672, 3018, 18, 31224, 30, 684, 1891, 1908, 478, 26181, 296, 4069, 470, 289, 478, 18989, 3733, 470, 6798, 17, 5350, 933, 1333, 2665, 16, 961, 9311, 282, 3947, 8984, 38520, 17025, 2407, 11181, 360, 22378, 11007, 16, 1727, 5985, 282, 4671, 280, 1231, 328, 541, 8465, 282, 11184, 6798, 17, 47542, 10528, 309, 42077, 1212, 4993, 16, 5923, 727, 4742, 18, 478, 677, 11946, 16, 1939, 3597, 16, 8203, 615, 17, 39842, 6839, 16546, 776, 16041, 478, 26181, 296, 4069, 470, 289, 13374, 35379, 269, 776, 28, 3161, 478, 18989, 3733, 470, 14416, 281, 4975, 304, 281, 17370, 6798, 17, 47542, 10528, 35436, 2665, 282, 27191, 282, 4671, 280, 1231, 328, 910, 510, 14083, 18347, 5792, 18, 25874, 18222, 411, 21938, 282, 42077, 1880, 4993, 1248, 10513, 928, 778, 26872, 18, 26849, 1700, 35436, 2665, 1055, 322, 26285, 4302, 20526, 15841, 27477, 18, 1563, 24817, 11517, 898, 16079, 1007, 5129, 353, 14250, 434, 3594, 18747, 334, 14613, 281, 5173, 8274, 3623, 289, 282, 5118, 281, 44139, 12672, 3018, 18, 37188, 2450, 15748, 11007, 25065, 16048, 626, 287, 281, 2059, 1963, 45955, 8014, 300, 2388, 13759, 394, 12201, 16521, 1333, 16, 281, 2107, 11836, 309, 571, 37914, 4096, 16, 5923, 40568, 18, 478, 563, 2707, 6295, 2702, 571, 1447, 549, 289, 20988, 445, 10201, 4940, 1546, 622, 14774, 4257, 16, 3387, 12681, 7554, 12789, 1833, 281, 35379, 620, 18, 2787, 912, 518, 16, 1085, 505, 3336, 18946, 16, 13173, 16, 374, 492, 895, 1139, 2530, 11164, 1558, 289, 14032, 988, 17, 1796, 13443, 5420, 18, 459, 309, 803, 12681, 5476, 17, 296, 648, 368, 478, 18665, 10706, 11604, 470, 20372, 910, 510, 9848, 23024, 18, 967, 803, 16, 492, 38033, 288, 1475, 20966, 16, 428, 15734, 1066, 18, 478, 23441, 16, 281, 2059, 1963, 16, 396, 21074, 1893, 26423, 6152, 13062, 1175, 18, 385, 2107, 1963, 16, 9874, 3193, 2759, 2553, 281, 4947, 4611, 6836, 6528, 3623, 7179, 4000, 16, 2628, 16, 1747, 7502, 266, 2998, 428, 478, 324, 46458, 470, 309, 20203, 25318, 17, 47542, 10950, 18, 2465, 3073, 16, 15127, 697, 3300, 510, 45234, 6551, 18, 740, 16, 3684, 16, 6295, 3164, 424, 13470, 18409, 18, 4794, 11517, 14218, 802, 14250, 416, 29904, 2759, 2553, 910, 510, 42375, 39597, 16048, 626, 287, 18, 457, 4022, 29179, 4419, 4770, 2665, 7753, 9344, 282, 3177, 16544, 547, 7978, 750, 23111, 351, 476, 2815, 16, 374, 1371, 15946, 411, 35189, 2553, 33884, 16, 11757, 379, 4833, 18264, 3271, 35058, 1175, 282, 14613, 18, 478, 9489, 924, 16, 428, 656, 834, 1555, 8773, 16, 7583, 10528, 282, 45072, 2820, 322, 840, 910, 510, 2815, 20203, 5222, 18, 999, 1272, 2299, 519, 978, 6118, 17, 33074, 31883, 1333, 2665, 9829, 40439, 2815, 282, 7337, 3285, 2818, 33293, 478, 6115, 389, 39379, 910, 374, 7794, 6798, 17, 47542, 10528, 309, 42077, 1212, 4993, 478, 431, 566, 341, 6551, 8538, 309, 48822, 861, 478, 23441, 840, 14830, 6125, 34942, 18465, 282, 2100, 1335, 6798, 17, 47542, 10528, 16, 1586, 840, 21729, 21680, 5349, 1175, 282, 42077, 1212, 4993, 16, 289, 17650, 294, 2222, 16, 374, 1379, 14377, 451, 16, 13073, 2403, 3868, 11189, 840, 8538, 309, 48822, 16, 15989, 349, 1556, 11738, 16, 289, 282, 22668, 1110, 575, 44028, 35664, 289, 12672, 3018, 8940, 518, 3586, 16, 961, 10924, 910, 510, 2815, 20203, 12681, 16, 4685, 14711, 16, 374, 2407, 478, 280, 11478, 324, 1371, 13247, 411, 11007, 289, 19921, 861, 24151, 40439, 371, 803, 13749, 16, 374, 9805, 25318, 17, 47542, 10950, 4703, 7081, 12201, 35436, 18, 2046, 16, 334, 505, 4734, 16, 411, 17, 431, 3358, 1884, 1042, 309, 42077, 1212, 4993, 282, 11325, 24019, 3836, 1617, 11517, 35058, 1175, 322, 28024, 16, 367, 1215, 18347, 37379, 510, 7415, 510, 8070, 26877, 1595, 18014, 18, 817, 5692, 16, 374, 4862, 34750, 8156, 26540, 2145, 18, 478, 21393, 26665, 281, 13198, 16870, 290, 970, 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 ]
[ 371, 10475, 2166, 16, 49552, 19420, 16, 8434, 289, 924, 16, 753, 697, 29902, 414, 18, 1178, 3708, 322, 5273, 20629, 5040, 20916, 4492, 10386, 16, 502, 2504, 322, 2397, 3018, 19544, 18733, 2856, 18, 457, 2243, 660, 16, 428, 492, 583, 3153, 16, 1494, 685, 3893, 16, 374, 294, 3130, 2701, 1627, 918, 14267, 282, 28292, 16, 961, 785, 17, 299, 14694, 294, 31330, 11241, 23603, 18, 478, 1358, 939, 16, 939, 4850, 286, 2651, 1423, 1805, 16, 27069, 1494, 953, 282, 2540, 19360, 289, 32894, 20423, 8149, 1512, 910, 510, 1109, 492, 282, 7337, 1273, 769, 11539, 28708, 1273, 14554, 18, 21575, 17, 13522, 25359, 14403, 16, 374, 4552, 11287, 3207, 322, 453, 44644, 9587, 10927, 16, 13017, 289, 4243, 475, 481, 20378, 12218, 18, 478, 1358, 322, 11503, 16, 374, 24935, 16508, 9205, 5368, 2175, 16, 515, 281, 16841, 14942, 14360, 294, 2222, 13229, 16, 374, 1085, 17, 299, 2107, 16, 2628, 16, 757, 3670, 3534, 3193, 334, 17, 15253, 18, 459, 827, 417, 13475, 1719, 349, 1177, 26058, 5747, 16, 481, 14864, 1548, 16, 374, 417, 3919, 15346, 16, 428, 722, 1965, 322, 20037, 502, 24363, 16, 2486, 1251, 3928, 639, 861, 48737, 11909, 266, 16, 282, 1423, 3678, 16, 10703, 16, 374, 28783, 2826, 44082, 309, 5421, 1119, 1011, 39900, 18, 12725, 334, 505, 3163, 16, 457, 2243, 660, 5086, 310, 322, 290, 281, 7774, 1231, 547, 16, 367, 290, 970, 16, 374, 322, 2946, 290, 17291, 6556, 7735, 30, 478, 6161, 373, 417, 2946, 16, 374, 387, 32153, 842, 15185, 10195, 16, 417, 373, 2002, 322, 685, 4116, 1632, 5495, 1153, 286, 861, 365, 20352, 7638, 17, 2589, 1038, 2271, 4283, 16, 374, 457, 2243, 660, 322, 8908, 309, 5453, 10478, 4587, 9704, 30, 478, 3001, 1494, 685, 939, 4850, 286, 18, 14155, 505, 33597, 17959, 12605, 701, 1717, 282, 21397, 43547, 914, 1041, 4062, 567, 808, 34765, 282, 13785, 4048, 297, 8435, 16, 289, 492, 6344, 305, 27995, 38754, 48543, 289, 21804, 861, 2, 1, 87, 1456, 81, 2448, 30, 14745, 24817, 9637, 5129, 478, 26181, 296, 4069, 470, 289, 478, 18989, 3733, 470, 8056, 329, 22378, 11007, 289, 16552, 3637, 282, 4671, 280, 1231, 328, 541, 8465, 282, 11184, 6798, 17, 47542, 10528, 2665, 309, 42077, 1212, 4993, 16, 6442, 18347, 5792, 18, 4756, 8846, 16, 374, 18347, 11517, 898, 16079, 1007, 5129, 353, 14250, 434, 3594, 18747, 334, 14613, 281, 5173, 8274, 3623, 289, 282, 5118, 281, 44139, 12672, 3018, 18, 31224, 30, 684, 1891, 1908, 478, 26181, 296, 4069, 470, 289, 478, 18989, 3733, 470, 6798, 17, 5350, 933, 1333, 2665, 16, 961, 9311, 282, 3947, 8984, 38520, 17025, 2407, 11181, 360, 22378, 11007, 16, 1727, 5985, 282, 4671, 280, 1231, 328, 541, 8465, 282, 11184, 6798, 17, 47542, 10528, 309, 42077, 1212, 4993, 16, 5923, 727, 4742, 18, 478, 677, 11946, 16, 1939, 3597, 16, 8203, 615, 17, 39842, 6839, 16546, 776, 16041, 478, 26181, 296, 4069, 470, 289, 13374, 35379, 269, 776, 28, 3161, 478, 18989, 3733, 470, 14416, 281, 4975, 304, 281, 17370, 6798, 17, 47542, 10528, 35436, 2665, 282, 27191, 282, 4671, 280, 1231, 328, 910, 510, 14083, 18347, 5792, 18, 25874, 18222, 411, 21938, 282, 42077, 1880, 4993, 1248, 10513, 928, 778, 26872, 18, 26849, 1700, 35436, 2665, 1055, 322, 26285, 4302, 20526, 15841, 27477, 18, 1563, 24817, 11517, 898, 16079, 1007, 5129, 353, 14250, 434, 3594, 18747, 334, 14613, 281, 5173, 8274, 3623, 289, 282, 5118, 281, 44139, 12672, 3018, 18, 37188, 2450, 15748, 11007, 25065, 16048, 626, 287, 281, 2059, 1963, 45955, 8014, 300, 2388, 13759, 394, 12201, 16521, 1333, 16, 281, 2107, 11836, 309, 571, 37914, 4096, 16, 5923, 40568, 18, 478, 563, 2707, 6295, 2702, 571, 1447, 549, 289, 20988, 445, 10201, 4940, 1546, 622, 14774, 4257, 16, 3387, 12681, 7554, 12789, 1833, 281, 35379, 620, 18, 2787, 912, 518, 16, 1085, 505, 3336, 18946, 16, 13173, 16, 374, 492, 895, 1139, 2530, 11164, 1558, 289, 14032, 988, 17, 1796, 13443, 5420, 18, 459, 309, 803, 12681, 5476, 17, 296, 648, 368, 478, 18665, 10706, 11604, 470, 20372, 910, 510, 9848, 23024, 18, 967, 803, 16, 492, 38033, 288, 1475, 20966, 16, 428, 15734, 1066, 18, 478, 23441, 16, 281, 2059, 1963, 16, 396, 21074, 1893, 26423, 6152, 13062, 1175, 18, 385, 2107, 1963, 16, 9874, 3193, 2759, 2553, 281, 4947, 4611, 6836, 6528, 3623, 7179, 4000, 16, 2628, 16, 1747, 7502, 266, 2998, 428, 478, 324, 46458, 470, 309, 20203, 25318, 17, 47542, 10950, 18, 2465, 3073, 16, 15127, 697, 3300, 510, 45234, 6551, 18, 740, 16, 3684, 16, 6295, 3164, 424, 13470, 18409, 18, 4794, 11517, 14218, 802, 14250, 416, 29904, 2759, 2553, 910, 510, 42375, 39597, 16048, 626, 287, 18, 457, 4022, 29179, 4419, 4770, 2665, 7753, 9344, 282, 3177, 16544, 547, 7978, 750, 23111, 351, 476, 2815, 16, 374, 1371, 15946, 411, 35189, 2553, 33884, 16, 11757, 379, 4833, 18264, 3271, 35058, 1175, 282, 14613, 18, 478, 9489, 924, 16, 428, 656, 834, 1555, 8773, 16, 7583, 10528, 282, 45072, 2820, 322, 840, 910, 510, 2815, 20203, 5222, 18, 999, 1272, 2299, 519, 978, 6118, 17, 33074, 31883, 1333, 2665, 9829, 40439, 2815, 282, 7337, 3285, 2818, 33293, 478, 6115, 389, 39379, 910, 374, 7794, 6798, 17, 47542, 10528, 309, 42077, 1212, 4993, 478, 431, 566, 341, 6551, 8538, 309, 48822, 861, 478, 23441, 840, 14830, 6125, 34942, 18465, 282, 2100, 1335, 6798, 17, 47542, 10528, 16, 1586, 840, 21729, 21680, 5349, 1175, 282, 42077, 1212, 4993, 16, 289, 17650, 294, 2222, 16, 374, 1379, 14377, 451, 16, 13073, 2403, 3868, 11189, 840, 8538, 309, 48822, 16, 15989, 349, 1556, 11738, 16, 289, 282, 22668, 1110, 575, 44028, 35664, 289, 12672, 3018, 8940, 518, 3586, 16, 961, 10924, 910, 510, 2815, 20203, 12681, 16, 4685, 14711, 16, 374, 2407, 478, 280, 11478, 324, 1371, 13247, 411, 11007, 289, 19921, 861, 24151, 40439, 371, 803, 13749, 16, 374, 9805, 25318, 17, 47542, 10950, 4703, 7081, 12201, 35436, 18, 2046, 16, 334, 505, 4734, 16, 411, 17, 431, 3358, 1884, 1042, 309, 42077, 1212, 4993, 282, 11325, 24019, 3836, 1617, 11517, 35058, 1175, 322, 28024, 16, 367, 1215, 18347, 37379, 510, 7415, 510, 8070, 26877, 1595, 18014, 18, 817, 5692, 16, 374, 4862, 34750, 8156, 26540, 2145, 18, 478, 21393, 26665, 281, 13198, 16870, 290, 970, 16 ]
[ 753, 34487, 6633, 3196, 315, 42787, 309, 4993, 289, 282, 7570, 18, 13699, 873, 726, 1299, 41172, 1272, 6684, 37379, 4528, 23349, 16, 289, 417, 20018, 16, 374, 745, 1747, 35294, 282, 42077, 1212, 4993, 910, 510, 3828, 492, 18, 21713, 6897, 4551, 1624, 35675, 360, 11007, 4210, 1312, 508, 291, 31777, 8382, 282, 970, 16, 374, 33035, 6798, 17, 5350, 1162, 14396, 840, 19676, 2838, 5135, 17, 299, 17019, 541, 1175, 16, 5923, 391, 26448, 18, 478, 38165, 4064, 315, 7634, 14080, 1924, 24741, 18, 1397, 5327, 10528, 16, 502, 374, 745, 4247, 282, 4432, 424, 2184, 9236, 35, 1178, 14396, 510, 481, 1272, 670, 2852, 531, 13954, 16, 961, 745, 1122, 18322, 9973, 16, 502, 481, 1965, 1721, 35160, 315, 18, 14089, 758, 20323, 289, 10744, 353, 745, 46980, 939, 24535, 6843, 294, 1175, 18, 1606, 334, 17, 6093, 49863, 309, 3844, 1368, 18703, 18, 889, 16, 3229, 1223, 16, 17959, 4830, 2665, 2994, 10403, 9344, 225, 3925, 44840, 1957, 622, 282, 42077, 1212, 4993, 25760, 8087, 14774, 16870, 910, 510, 2815, 35675, 18, 7200, 46984, 7920, 16934, 334, 25152, 3720, 45959, 268, 8566, 478, 487, 5322, 355, 470, 32850, 2665, 6125, 15122, 6798, 17, 5350, 933, 1333, 282, 42077, 1212, 4993, 18, 478, 25855, 10677, 16, 374, 2874, 15017, 14888, 23921, 281, 6849, 18, 889, 1721, 35160, 315, 18, 26444, 884, 282, 42077, 1212, 4993, 360, 1409, 519, 2418, 4995, 18, 2787, 912, 678, 322, 4360, 4417, 1336, 2710, 17, 299, 14440, 16293, 11517, 16, 367, 867, 1033, 47960, 16626, 910, 510, 1109, 492, 18, 824, 4734, 11919, 1183, 16, 18347, 19516, 309, 2456, 2463, 33337, 322, 282, 14885, 6798, 17, 47542, 10528, 16, 367, 282, 478, 397, 418, 763, 470, 27526, 4135, 18, 478, 15883, 329, 2891, 518, 1749, 16, 961, 23974, 1141, 397, 3359, 411, 21966, 8720, 16, 753, 282, 6940, 445, 4806, 20689, 2764, 309, 2710, 17, 299, 9637, 11608, 16, 367, 334, 8331, 1101, 697, 445, 1486, 1086, 18, 1178, 6696, 6908, 35102, 4522, 3021, 11604, 670, 6684, 3170, 16, 4410, 1882, 9513, 766, 2764, 289, 4522, 530, 282, 5696, 18713, 26651, 938, 4523, 4704, 16, 1029, 309, 1927, 1204, 31463, 289, 1215, 17, 10148, 708, 44013, 16, 988, 33133, 478, 20636, 23675, 44497, 910, 510, 5692, 45959, 268, 18, 7106, 16, 374, 1939, 3612, 10507, 779, 282, 45072, 685, 34807, 38272, 16, 309, 2114, 30137, 9, 5303, 5860, 887, 349, 478, 419, 21186, 32880, 510, 10095, 10528, 35481, 718, 11604, 16, 2001, 5508, 315, 17, 298, 2731, 1310, 718, 49574, 861, 365, 11097, 1045, 16, 1011, 19665, 1608, 2889, 891, 289, 26177, 309, 34077, 5066, 16, 32712, 1175, 289, 2665, 9715, 20917, 3786, 289, 17397, 26590, 429, 27875, 45633, 290, 36747, 547, 18264, 8292, 7179, 35481, 718, 11604, 1175, 289, 25318, 17, 5350, 933, 1333, 2665, 18, 365, 10798, 1045, 18264, 3271, 35481, 718, 11604, 1175, 282, 45072, 639, 11757, 3890, 30676, 304, 290, 36721, 18, 1912, 4209, 10798, 779, 309, 41815, 7179, 35481, 718, 11604, 685, 2113, 266, 27720, 6288, 14337, 12632, 18, 3771, 5778, 37341, 329, 2665, 15122, 282, 45072, 16, 16172, 6524, 13584, 2364, 4843, 10590, 3763, 18, 1012, 2592, 548, 1611, 2602, 281, 3195, 41073, 9609, 2095, 7904, 16178, 2665, 18, 2, 1, 87, 1456, 81, 2448, 30, 17561, 1133, 4272, 17, 440, 331, 548, 1698, 1852, 4056, 14441, 355, 2954, 16, 961, 334, 12885, 4000, 10211, 30850, 349, 478, 41307, 536, 20891, 3032, 861, 16476, 16, 2615, 3321, 294, 5816, 954, 11335, 34516, 309, 33713, 1070, 33733, 4244, 2855, 726, 19348, 18, 31224, 30, 6115, 332, 5785, 12760, 40878, 680, 1767, 5216, 282, 4008, 5962, 1568, 16, 3118, 4092, 40139, 4244, 539, 33713, 1070, 2533, 18, 14654, 3419, 16, 9121, 16, 687, 290, 31174, 411, 9110, 296, 3904, 18, 48011, 40379, 16, 374, 478, 298, 1979, 6356, 33713, 917, 1634, 27508, 1608, 2954, 510, 26893, 1743, 1175, 861, 5181, 16, 3903, 373, 16, 2504, 481, 2990, 322, 30066, 1211, 510, 4244, 873, 322, 33713, 5802, 5781, 2533, 21025, 1769, 18, 478, 39007, 20165, 309, 2923, 40878, 680, 1767, 13547, 309, 33713, 1070, 473, 446, 717, 320, 468, 13, 2533, 17, 440, 1630, 289, 2533, 16, 22788, 749, 21557, 1489, 6975, 16, 5022, 44989, 30571, 289, 17623, 749, 31378, 16, 3857, 6232, 30892, 349, 13952, 4433, 4551, 910, 510, 5130, 282, 4437, 7025, 294, 14371, 18, 20099, 7920, 334, 7546, 4626, 16, 5319, 289, 9526, 6569, 40878, 718, 16412, 15748, 26227, 18563, 19869, 9321, 16, 374, 16985, 35216, 2282, 10516, 7845, 4857, 282, 9597, 27898, 289, 4958, 4946, 2891, 40878, 680, 1767, 20649, 1134, 289, 12522, 353, 290, 6160, 10735, 346, 12522, 281, 9154, 16, 18802, 16, 11949, 427, 16, 44403, 4062, 289, 935, 11337, 5781, 2533, 16, 590, 17900, 309, 23182, 282, 28872, 5169, 18, 3747, 16, 19790, 1579, 1335, 5751, 761, 16, 942, 21447, 16, 374, 4703, 1033, 13607, 13228, 18802, 282, 5781, 42742, 2125, 7869, 294, 4092, 552, 309, 33713, 1070, 2533, 30571, 1175, 18, 18563, 19869, 16926, 16, 374, 3348, 411, 8720, 291, 13595, 5738, 2756, 5825, 290, 21260, 13652, 16695, 16, 35019, 7544, 272, 33713, 4436, 2533, 16, 6709, 16, 12113, 282, 4432, 14781, 14824, 21408, 18, 478, 6161, 6511, 445, 356, 489, 811, 670, 5169, 322, 47844, 281, 505, 7559, 1525, 16, 502, 309, 32216, 28426, 21299, 2444, 5825, 290, 2579, 582, 18, 365, 3198, 4272, 16, 5017, 274, 12589, 9597, 8950, 382, 16, 1698, 9555, 988, 6922, 289, 281, 5045, 6922, 18, 967, 803, 3771, 6508, 3728, 322, 895, 16930, 3961, 9563, 16, 17518, 1757, 282, 31371, 289, 15649, 2644, 910, 510, 27250, 11309, 18, 365, 3734, 1045, 4244, 873, 33713, 925, 20391, 2533, 17, 440, 1630, 411, 40878, 680, 1767, 18, 365, 970, 2875, 9690, 2533, 29698, 309, 23182, 38083, 411, 9893, 16, 2511, 510, 5306, 16, 1409, 510, 11254, 16, 1061, 510, 9591, 548, 18, 3747, 282, 1750, 281, 9154, 17, 440, 331, 2389, 2805, 25809, 10711, 35583, 9457, 16, 1542, 33615, 16672, 16, 374, 1568, 5327, 15455, 16, 827, 322, 2634, 16, 2533, 18, 37188, 18563, 19869, 30357, 16, 374, 11112, 1205, 2158, 282, 9110, 8016, 409, 685, 18566, 17122, 1568, 290, 46223, 33713, 917, 2533, 17, 440, 1630, 30571, 2145, 18, 33350, 1245, 16, 374, 282, 11023, 45754, 12760, 16, 14001, 9429, 19427, 24979, 16, 13749, 1177, 1568, 50199, 1757, 3941, 18, 9570, 281, 4090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 753, 34487, 6633, 3196, 315, 42787, 309, 4993, 289, 282, 7570, 18, 13699, 873, 726, 1299, 41172, 1272, 6684, 37379, 4528, 23349, 16, 289, 417, 20018, 16, 374, 745, 1747, 35294, 282, 42077, 1212, 4993, 910, 510, 3828, 492, 18, 21713, 6897, 4551, 1624, 35675, 360, 11007, 4210, 1312, 508, 291, 31777, 8382, 282, 970, 16, 374, 33035, 6798, 17, 5350, 1162, 14396, 840, 19676, 2838, 5135, 17, 299, 17019, 541, 1175, 16, 5923, 391, 26448, 18, 478, 38165, 4064, 315, 7634, 14080, 1924, 24741, 18, 1397, 5327, 10528, 16, 502, 374, 745, 4247, 282, 4432, 424, 2184, 9236, 35, 1178, 14396, 510, 481, 1272, 670, 2852, 531, 13954, 16, 961, 745, 1122, 18322, 9973, 16, 502, 481, 1965, 1721, 35160, 315, 18, 14089, 758, 20323, 289, 10744, 353, 745, 46980, 939, 24535, 6843, 294, 1175, 18, 1606, 334, 17, 6093, 49863, 309, 3844, 1368, 18703, 18, 889, 16, 3229, 1223, 16, 17959, 4830, 2665, 2994, 10403, 9344, 225, 3925, 44840, 1957, 622, 282, 42077, 1212, 4993, 25760, 8087, 14774, 16870, 910, 510, 2815, 35675, 18, 7200, 46984, 7920, 16934, 334, 25152, 3720, 45959, 268, 8566, 478, 487, 5322, 355, 470, 32850, 2665, 6125, 15122, 6798, 17, 5350, 933, 1333, 282, 42077, 1212, 4993, 18, 478, 25855, 10677, 16, 374, 2874, 15017, 14888, 23921, 281, 6849, 18, 889, 1721, 35160, 315, 18, 26444, 884, 282, 42077, 1212, 4993, 360, 1409, 519, 2418, 4995, 18, 2787, 912, 678, 322, 4360, 4417, 1336, 2710, 17, 299, 14440, 16293, 11517, 16, 367, 867, 1033, 47960, 16626, 910, 510, 1109, 492, 18, 824, 4734, 11919, 1183, 16, 18347, 19516, 309, 2456, 2463, 33337, 322, 282, 14885, 6798, 17, 47542, 10528, 16, 367, 282, 478, 397, 418, 763, 470, 27526, 4135, 18, 478, 15883, 329, 2891, 518, 1749, 16, 961, 23974, 1141, 397, 3359, 411, 21966, 8720, 16, 753, 282, 6940, 445, 4806, 20689, 2764, 309, 2710, 17, 299, 9637, 11608, 16, 367, 334, 8331, 1101, 697, 445, 1486, 1086, 18, 1178, 6696, 6908, 35102, 4522, 3021, 11604, 670, 6684, 3170, 16, 4410, 1882, 9513, 766, 2764, 289, 4522, 530, 282, 5696, 18713, 26651, 938, 4523, 4704, 16, 1029, 309, 1927, 1204, 31463, 289, 1215, 17, 10148, 708, 44013, 16, 988, 33133, 478, 20636, 23675, 44497, 910, 510, 5692, 45959, 268, 18, 7106, 16, 374, 1939, 3612, 10507, 779, 282, 45072, 685, 34807, 38272, 16, 309, 2114, 30137, 9, 5303, 5860, 887, 349, 478, 419, 21186, 32880, 510, 10095, 10528, 35481, 718, 11604, 16, 2001, 5508, 315, 17, 298, 2731, 1310, 718, 49574, 861, 365, 11097, 1045, 16, 1011, 19665, 1608, 2889, 891, 289, 26177, 309, 34077, 5066, 16, 32712, 1175, 289, 2665, 9715, 20917, 3786, 289, 17397, 26590, 429, 27875, 45633, 290, 36747, 547, 18264, 8292, 7179, 35481, 718, 11604, 1175, 289, 25318, 17, 5350, 933, 1333, 2665, 18, 365, 10798, 1045, 18264, 3271, 35481, 718, 11604, 1175, 282, 45072, 639, 11757, 3890, 30676, 304, 290, 36721, 18, 1912, 4209, 10798, 779, 309, 41815, 7179, 35481, 718, 11604, 685, 2113, 266, 27720, 6288, 14337, 12632, 18, 3771, 5778, 37341, 329, 2665, 15122, 282, 45072, 16, 16172, 6524, 13584, 2364, 4843, 10590, 3763, 18, 1012, 2592, 548, 1611, 2602, 281, 3195, 41073, 9609, 2095, 7904, 16178, 2665, 18, 2, 1, 87, 1456, 81, 2448, 30, 17561, 1133, 4272, 17, 440, 331, 548, 1698, 1852, 4056, 14441, 355, 2954, 16, 961, 334, 12885, 4000, 10211, 30850, 349, 478, 41307, 536, 20891, 3032, 861, 16476, 16, 2615, 3321, 294, 5816, 954, 11335, 34516, 309, 33713, 1070, 33733, 4244, 2855, 726, 19348, 18, 31224, 30, 6115, 332, 5785, 12760, 40878, 680, 1767, 5216, 282, 4008, 5962, 1568, 16, 3118, 4092, 40139, 4244, 539, 33713, 1070, 2533, 18, 14654, 3419, 16, 9121, 16, 687, 290, 31174, 411, 9110, 296, 3904, 18, 48011, 40379, 16, 374, 478, 298, 1979, 6356, 33713, 917, 1634, 27508, 1608, 2954, 510, 26893, 1743, 1175, 861, 5181, 16, 3903, 373, 16, 2504, 481, 2990, 322, 30066, 1211, 510, 4244, 873, 322, 33713, 5802, 5781, 2533, 21025, 1769, 18, 478, 39007, 20165, 309, 2923, 40878, 680, 1767, 13547, 309, 33713, 1070, 473, 446, 717, 320, 468, 13, 2533, 17, 440, 1630, 289, 2533, 16, 22788, 749, 21557, 1489, 6975, 16, 5022, 44989, 30571, 289, 17623, 749, 31378, 16, 3857, 6232, 30892, 349, 13952, 4433, 4551, 910, 510, 5130, 282, 4437, 7025, 294, 14371, 18, 20099, 7920, 334, 7546, 4626, 16, 5319, 289, 9526, 6569, 40878, 718, 16412, 15748, 26227, 18563, 19869, 9321, 16, 374, 16985, 35216, 2282, 10516, 7845, 4857, 282, 9597, 27898, 289, 4958, 4946, 2891, 40878, 680, 1767, 20649, 1134, 289, 12522, 353, 290, 6160, 10735, 346, 12522, 281, 9154, 16, 18802, 16, 11949, 427, 16, 44403, 4062, 289, 935, 11337, 5781, 2533, 16, 590, 17900, 309, 23182, 282, 28872, 5169, 18, 3747, 16, 19790, 1579, 1335, 5751, 761, 16, 942, 21447, 16, 374, 4703, 1033, 13607, 13228, 18802, 282, 5781, 42742, 2125, 7869, 294, 4092, 552, 309, 33713, 1070, 2533, 30571, 1175, 18, 18563, 19869, 16926, 16, 374, 3348, 411, 8720, 291, 13595, 5738, 2756, 5825, 290, 21260, 13652, 16695, 16, 35019, 7544, 272, 33713, 4436, 2533, 16, 6709, 16, 12113, 282, 4432, 14781, 14824, 21408, 18, 478, 6161, 6511, 445, 356, 489, 811, 670, 5169, 322, 47844, 281, 505, 7559, 1525, 16, 502, 309, 32216, 28426, 21299, 2444, 5825, 290, 2579, 582, 18, 365, 3198, 4272, 16, 5017, 274, 12589, 9597, 8950, 382, 16, 1698, 9555, 988, 6922, 289, 281, 5045, 6922, 18, 967, 803, 3771, 6508, 3728, 322, 895, 16930, 3961, 9563, 16, 17518, 1757, 282, 31371, 289, 15649, 2644, 910, 510, 27250, 11309, 18, 365, 3734, 1045, 4244, 873, 33713, 925, 20391, 2533, 17, 440, 1630, 411, 40878, 680, 1767, 18, 365, 970, 2875, 9690, 2533, 29698, 309, 23182, 38083, 411, 9893, 16, 2511, 510, 5306, 16, 1409, 510, 11254, 16, 1061, 510, 9591, 548, 18, 3747, 282, 1750, 281, 9154, 17, 440, 331, 2389, 2805, 25809, 10711, 35583, 9457, 16, 1542, 33615, 16672, 16, 374, 1568, 5327, 15455, 16, 827, 322, 2634, 16, 2533, 18, 37188, 18563, 19869, 30357, 16, 374, 11112, 1205, 2158, 282, 9110, 8016, 409, 685, 18566, 17122, 1568, 290, 46223, 33713, 917, 2533, 17, 440, 1630, 30571, 2145, 18, 33350, 1245, 16, 374, 282, 11023, 45754, 12760, 16, 14001, 9429, 19427, 24979, 16, 13749, 1177, 1568, 50199, 1757, 3941, 18, 9570, 281, 4090 ]
[ 779, 15739, 282, 3941, 24070, 31974, 1568, 18, 11626, 575, 20117, 24720, 895, 953, 2714, 798, 289, 541, 20961, 15046, 34516, 309, 33713, 1070, 33733, 5022, 4244, 2855, 30, 40878, 1162, 6391, 1139, 42675, 282, 5703, 478, 431, 881, 526, 7336, 861, 640, 5734, 2083, 33713, 2666, 5781, 2533, 16753, 22360, 2145, 289, 45443, 1116, 850, 2381, 18, 29045, 33713, 1070, 2628, 687, 282, 2553, 16, 281, 6133, 329, 1175, 912, 12589, 11418, 16, 510, 481, 29867, 289, 18211, 18, 5850, 3276, 27506, 2533, 38802, 16, 515, 6508, 3728, 34497, 697, 13852, 322, 1698, 18, 45633, 381, 33713, 2431, 639, 3168, 4684, 289, 281, 11965, 5056, 8833, 2389, 18, 31529, 2891, 20310, 40367, 3775, 15807, 5510, 2533, 282, 11673, 4358, 432, 42742, 18, 740, 3771, 3253, 28361, 2210, 1177, 4957, 282, 29300, 1555, 4666, 16, 785, 2145, 29559, 12435, 1279, 9163, 5781, 14886, 289, 39877, 16, 14785, 432, 294, 6619, 30979, 282, 17063, 40342, 11131, 1021, 6944, 41865, 46043, 11088, 9020, 3213, 718, 18, 2112, 924, 428, 18211, 2242, 333, 2603, 332, 45443, 839, 1933, 382, 289, 33713, 1070, 7071, 47529, 33733, 16, 282, 1175, 9601, 25568, 29617, 349, 7970, 13547, 33713, 917, 2533, 44989, 30571, 18, 33350, 1245, 16, 374, 334, 1097, 22897, 31498, 473, 285, 18, 1912, 24, 35445, 434, 19986, 2407, 13, 4244, 873, 289, 453, 1698, 33713, 2666, 687, 1110, 2533, 16, 309, 1639, 322, 27831, 33713, 1643, 282, 1175, 18, 2787, 912, 12642, 16146, 3960, 22648, 2585, 33713, 917, 18, 2949, 924, 16, 3771, 764, 282, 6383, 1045, 5524, 455, 16, 515, 519, 4319, 1326, 322, 34604, 4646, 6406, 5971, 1225, 2127, 568, 4574, 1066, 478, 630, 13441, 2533, 289, 21992, 282, 1767, 12672, 33713, 917, 470, 360, 4518, 3598, 11525, 779, 18, 365, 5969, 2124, 30062, 290, 19078, 4282, 282, 1420, 19354, 8394, 15270, 19465, 5693, 294, 3445, 1147, 33713, 3707, 16, 30494, 309, 33537, 835, 1209, 47896, 1562, 289, 282, 4698, 3678, 4282, 16, 367, 1038, 37823, 19465, 5210, 14955, 47896, 10263, 18, 2787, 912, 1055, 5571, 8768, 282, 10209, 322, 26136, 10830, 8410, 33713, 917, 18, 33553, 13547, 309, 33713, 1070, 5781, 2533, 17, 440, 1630, 4244, 2855, 895, 32893, 1279, 2891, 334, 30914, 10646, 9649, 4118, 12150, 935, 1613, 2301, 4186, 16, 1586, 2485, 343, 360, 6569, 18, 889, 3003, 37423, 289, 16487, 451, 1247, 290, 17686, 10883, 617, 289, 5118, 2412, 6036, 9515, 18675, 2198, 334, 22591, 4282, 371, 2420, 11186, 16714, 439, 11594, 401, 18, 16003, 16, 374, 8851, 15320, 1229, 1486, 2154, 26508, 2533, 282, 3106, 16126, 4676, 21976, 16458, 2793, 281, 39667, 16, 4226, 924, 753, 8671, 15707, 697, 3018, 18, 11040, 1703, 14928, 13027, 33262, 304, 1943, 953, 1135, 16, 1029, 13303, 9137, 3018, 2533, 1188, 17719, 16, 367, 322, 3164, 309, 38066, 2181, 14328, 10435, 18, 2949, 924, 16, 34022, 4075, 353, 5494, 12745, 14493, 309, 965, 12356, 34387, 9546, 448, 15442, 9193, 9563, 17, 440, 331, 2675, 7003, 668, 1805, 1642, 18, 2046, 17111, 411, 924, 16, 374, 329, 813, 3621, 282, 1335, 6491, 510, 1794, 3394, 350, 1051, 1314, 1143, 1624, 828, 282, 17013, 2127, 7812, 16, 1073, 32420, 21025, 1769, 5219, 7723, 16, 26062, 33713, 5802, 2533, 6993, 28494, 16, 367, 2533, 281, 33943, 3770, 7054, 1715, 322, 18189, 282, 5169, 16, 8874, 16, 374, 5494, 1314, 34772, 1077, 265, 4833, 2770, 13192, 5090, 18, 365, 5026, 1528, 21976, 16458, 2793, 764, 942, 639, 428, 17, 299, 15141, 1855, 13547, 309, 33713, 1070, 2533, 30571, 2145, 16, 6938, 35474, 282, 25606, 5267, 478, 40242, 13634, 2279, 470, 289, 2282, 27780, 33462, 16308, 448, 8296, 19762, 282, 3507, 18, 817, 685, 6575, 3276, 16, 1830, 289, 30822, 10347, 536, 25672, 309, 478, 333, 266, 9020, 3213, 718, 861, 2877, 575, 30225, 7441, 282, 4301, 10301, 309, 2291, 17214, 1066, 895, 2048, 2533, 17, 440, 1630, 16330, 758, 7997, 3317, 322, 1360, 14826, 3664, 416, 12448, 6569, 16, 367, 3741, 2181, 8043, 28221, 3899, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 322, 23752, 1424, 519, 4056, 11970, 282, 25902, 2044, 281, 3738, 1991, 1041, 6205, 30571, 510, 1210, 4857, 1033, 4843, 10590, 3763, 16, 34724, 15033, 36243, 43, 18, 9570, 294, 7847, 1045, 16, 334, 47270, 16, 8768, 32644, 341, 32687, 14262, 18, 2775, 42032, 6591, 26175, 22929, 282, 30681, 40537, 510, 309, 1409, 16, 28, 9, 282, 4018, 1045, 16, 282, 5344, 4426, 11736, 16, 510, 10201, 16, 374, 31333, 9350, 6088, 10487, 16, 40476, 695, 15833, 16188, 18, 31224, 30, 677, 1175, 322, 453, 1269, 939, 23773, 1512, 16, 34724, 15033, 35390, 23154, 3565, 657, 13949, 473, 11539, 43, 13, 478, 4182, 8969, 38185, 7019, 282, 2031, 547, 2968, 30, 45440, 23927, 17, 11276, 861, 816, 6862, 4965, 296, 1041, 3494, 36601, 366, 473, 32278, 4843, 10590, 3763, 13, 289, 21268, 2634, 23773, 473, 32278, 4843, 21, 3763, 814, 16662, 11771, 16, 753, 8662, 935, 282, 4698, 43829, 30, 3771, 3164, 309, 2287, 17, 277, 2468, 334, 4965, 296, 1041, 4269, 473, 49582, 2030, 1715, 19124, 4803, 16, 828, 282, 4440, 1045, 13, 289, 309, 2511, 17, 277, 2468, 334, 20919, 4481, 17, 21325, 356, 2477, 473, 404, 33725, 281, 4440, 779, 16, 1038, 4896, 2239, 16, 23, 9, 360, 7203, 7619, 36601, 366, 814, 3747, 282, 5329, 25727, 7925, 282, 1175, 282, 4018, 1045, 7083, 751, 309, 2261, 16, 28, 7418, 519, 4843, 21, 16, 26, 34278, 18, 640, 5572, 2468, 334, 4965, 296, 1041, 4269, 16, 428, 16, 9705, 16, 289, 334, 1139, 32451, 16, 2145, 16, 988, 3400, 4481, 16, 10052, 1587, 1033, 828, 4843, 10590, 3763, 16, 26844, 816, 754, 26, 16, 367, 1033, 4843, 21, 3763, 510, 1061, 16, 29, 3763, 18, 42172, 349, 2872, 282, 14526, 3738, 1991, 1041, 3494, 31981, 473, 10590, 21, 13, 289, 9807, 473, 28, 12086, 814, 365, 14526, 4481, 17, 21325, 356, 2477, 27633, 473, 21, 16, 25, 3763, 13, 289, 9807, 473, 21, 16, 23, 3763, 814, 824, 10940, 272, 36243, 43, 16, 9807, 5304, 15159, 8475, 46832, 334, 2856, 3286, 10091, 726, 282, 3734, 1045, 18, 7758, 478, 32804, 1991, 1041, 3494, 470, 4481, 282, 2968, 47360, 1912, 4500, 18, 16394, 4481, 17, 21325, 356, 2477, 38245, 2511, 16, 28, 3763, 16, 670, 2239, 16, 29, 9, 360, 7203, 7619, 18, 9133, 1223, 4965, 296, 1041, 3494, 4481, 309, 7683, 4186, 282, 33632, 1484, 473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 15739, 282, 3941, 24070, 31974, 1568, 18, 11626, 575, 20117, 24720, 895, 953, 2714, 798, 289, 541, 20961, 15046, 34516, 309, 33713, 1070, 33733, 5022, 4244, 2855, 30, 40878, 1162, 6391, 1139, 42675, 282, 5703, 478, 431, 881, 526, 7336, 861, 640, 5734, 2083, 33713, 2666, 5781, 2533, 16753, 22360, 2145, 289, 45443, 1116, 850, 2381, 18, 29045, 33713, 1070, 2628, 687, 282, 2553, 16, 281, 6133, 329, 1175, 912, 12589, 11418, 16, 510, 481, 29867, 289, 18211, 18, 5850, 3276, 27506, 2533, 38802, 16, 515, 6508, 3728, 34497, 697, 13852, 322, 1698, 18, 45633, 381, 33713, 2431, 639, 3168, 4684, 289, 281, 11965, 5056, 8833, 2389, 18, 31529, 2891, 20310, 40367, 3775, 15807, 5510, 2533, 282, 11673, 4358, 432, 42742, 18, 740, 3771, 3253, 28361, 2210, 1177, 4957, 282, 29300, 1555, 4666, 16, 785, 2145, 29559, 12435, 1279, 9163, 5781, 14886, 289, 39877, 16, 14785, 432, 294, 6619, 30979, 282, 17063, 40342, 11131, 1021, 6944, 41865, 46043, 11088, 9020, 3213, 718, 18, 2112, 924, 428, 18211, 2242, 333, 2603, 332, 45443, 839, 1933, 382, 289, 33713, 1070, 7071, 47529, 33733, 16, 282, 1175, 9601, 25568, 29617, 349, 7970, 13547, 33713, 917, 2533, 44989, 30571, 18, 33350, 1245, 16, 374, 334, 1097, 22897, 31498, 473, 285, 18, 1912, 24, 35445, 434, 19986, 2407, 13, 4244, 873, 289, 453, 1698, 33713, 2666, 687, 1110, 2533, 16, 309, 1639, 322, 27831, 33713, 1643, 282, 1175, 18, 2787, 912, 12642, 16146, 3960, 22648, 2585, 33713, 917, 18, 2949, 924, 16, 3771, 764, 282, 6383, 1045, 5524, 455, 16, 515, 519, 4319, 1326, 322, 34604, 4646, 6406, 5971, 1225, 2127, 568, 4574, 1066, 478, 630, 13441, 2533, 289, 21992, 282, 1767, 12672, 33713, 917, 470, 360, 4518, 3598, 11525, 779, 18, 365, 5969, 2124, 30062, 290, 19078, 4282, 282, 1420, 19354, 8394, 15270, 19465, 5693, 294, 3445, 1147, 33713, 3707, 16, 30494, 309, 33537, 835, 1209, 47896, 1562, 289, 282, 4698, 3678, 4282, 16, 367, 1038, 37823, 19465, 5210, 14955, 47896, 10263, 18, 2787, 912, 1055, 5571, 8768, 282, 10209, 322, 26136, 10830, 8410, 33713, 917, 18, 33553, 13547, 309, 33713, 1070, 5781, 2533, 17, 440, 1630, 4244, 2855, 895, 32893, 1279, 2891, 334, 30914, 10646, 9649, 4118, 12150, 935, 1613, 2301, 4186, 16, 1586, 2485, 343, 360, 6569, 18, 889, 3003, 37423, 289, 16487, 451, 1247, 290, 17686, 10883, 617, 289, 5118, 2412, 6036, 9515, 18675, 2198, 334, 22591, 4282, 371, 2420, 11186, 16714, 439, 11594, 401, 18, 16003, 16, 374, 8851, 15320, 1229, 1486, 2154, 26508, 2533, 282, 3106, 16126, 4676, 21976, 16458, 2793, 281, 39667, 16, 4226, 924, 753, 8671, 15707, 697, 3018, 18, 11040, 1703, 14928, 13027, 33262, 304, 1943, 953, 1135, 16, 1029, 13303, 9137, 3018, 2533, 1188, 17719, 16, 367, 322, 3164, 309, 38066, 2181, 14328, 10435, 18, 2949, 924, 16, 34022, 4075, 353, 5494, 12745, 14493, 309, 965, 12356, 34387, 9546, 448, 15442, 9193, 9563, 17, 440, 331, 2675, 7003, 668, 1805, 1642, 18, 2046, 17111, 411, 924, 16, 374, 329, 813, 3621, 282, 1335, 6491, 510, 1794, 3394, 350, 1051, 1314, 1143, 1624, 828, 282, 17013, 2127, 7812, 16, 1073, 32420, 21025, 1769, 5219, 7723, 16, 26062, 33713, 5802, 2533, 6993, 28494, 16, 367, 2533, 281, 33943, 3770, 7054, 1715, 322, 18189, 282, 5169, 16, 8874, 16, 374, 5494, 1314, 34772, 1077, 265, 4833, 2770, 13192, 5090, 18, 365, 5026, 1528, 21976, 16458, 2793, 764, 942, 639, 428, 17, 299, 15141, 1855, 13547, 309, 33713, 1070, 2533, 30571, 2145, 16, 6938, 35474, 282, 25606, 5267, 478, 40242, 13634, 2279, 470, 289, 2282, 27780, 33462, 16308, 448, 8296, 19762, 282, 3507, 18, 817, 685, 6575, 3276, 16, 1830, 289, 30822, 10347, 536, 25672, 309, 478, 333, 266, 9020, 3213, 718, 861, 2877, 575, 30225, 7441, 282, 4301, 10301, 309, 2291, 17214, 1066, 895, 2048, 2533, 17, 440, 1630, 16330, 758, 7997, 3317, 322, 1360, 14826, 3664, 416, 12448, 6569, 16, 367, 3741, 2181, 8043, 28221, 3899, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 322, 23752, 1424, 519, 4056, 11970, 282, 25902, 2044, 281, 3738, 1991, 1041, 6205, 30571, 510, 1210, 4857, 1033, 4843, 10590, 3763, 16, 34724, 15033, 36243, 43, 18, 9570, 294, 7847, 1045, 16, 334, 47270, 16, 8768, 32644, 341, 32687, 14262, 18, 2775, 42032, 6591, 26175, 22929, 282, 30681, 40537, 510, 309, 1409, 16, 28, 9, 282, 4018, 1045, 16, 282, 5344, 4426, 11736, 16, 510, 10201, 16, 374, 31333, 9350, 6088, 10487, 16, 40476, 695, 15833, 16188, 18, 31224, 30, 677, 1175, 322, 453, 1269, 939, 23773, 1512, 16, 34724, 15033, 35390, 23154, 3565, 657, 13949, 473, 11539, 43, 13, 478, 4182, 8969, 38185, 7019, 282, 2031, 547, 2968, 30, 45440, 23927, 17, 11276, 861, 816, 6862, 4965, 296, 1041, 3494, 36601, 366, 473, 32278, 4843, 10590, 3763, 13, 289, 21268, 2634, 23773, 473, 32278, 4843, 21, 3763, 814, 16662, 11771, 16, 753, 8662, 935, 282, 4698, 43829, 30, 3771, 3164, 309, 2287, 17, 277, 2468, 334, 4965, 296, 1041, 4269, 473, 49582, 2030, 1715, 19124, 4803, 16, 828, 282, 4440, 1045, 13, 289, 309, 2511, 17, 277, 2468, 334, 20919, 4481, 17, 21325, 356, 2477, 473, 404, 33725, 281, 4440, 779, 16, 1038, 4896, 2239, 16, 23, 9, 360, 7203, 7619, 36601, 366, 814, 3747, 282, 5329, 25727, 7925, 282, 1175, 282, 4018, 1045, 7083, 751, 309, 2261, 16, 28, 7418, 519, 4843, 21, 16, 26, 34278, 18, 640, 5572, 2468, 334, 4965, 296, 1041, 4269, 16, 428, 16, 9705, 16, 289, 334, 1139, 32451, 16, 2145, 16, 988, 3400, 4481, 16, 10052, 1587, 1033, 828, 4843, 10590, 3763, 16, 26844, 816, 754, 26, 16, 367, 1033, 4843, 21, 3763, 510, 1061, 16, 29, 3763, 18, 42172, 349, 2872, 282, 14526, 3738, 1991, 1041, 3494, 31981, 473, 10590, 21, 13, 289, 9807, 473, 28, 12086, 814, 365, 14526, 4481, 17, 21325, 356, 2477, 27633, 473, 21, 16, 25, 3763, 13, 289, 9807, 473, 21, 16, 23, 3763, 814, 824, 10940, 272, 36243, 43, 16, 9807, 5304, 15159, 8475, 46832, 334, 2856, 3286, 10091, 726, 282, 3734, 1045, 18, 7758, 478, 32804, 1991, 1041, 3494, 470, 4481, 282, 2968, 47360, 1912, 4500, 18, 16394, 4481, 17, 21325, 356, 2477, 38245, 2511, 16, 28, 3763, 16, 670, 2239, 16, 29, 9, 360, 7203, 7619, 18, 9133, 1223, 4965, 296, 1041, 3494, 4481, 309, 7683, 4186, 282, 33632, 1484, 473 ]
[ 3114, 16, 21, 309, 430, 3763, 4481, 13, 289, 22336, 473, 29, 16, 24, 309, 430, 3763, 814, 38207, 1712, 31615, 14034, 2477, 282, 26244, 298, 473, 3940, 23, 411, 11777, 36601, 366, 934, 22336, 473, 3572, 16, 26, 21327, 49838, 18668, 473, 3572, 16, 25, 21327, 33632, 1484, 473, 29, 16, 24, 18314, 289, 37971, 864, 298, 473, 28, 16, 22, 21956, 19591, 32687, 33869, 282, 30681, 40537, 349, 4018, 1205, 12076, 1409, 16, 28, 7418, 15025, 539, 23927, 4186, 9309, 33725, 519, 4843, 4234, 25, 16, 25, 34278, 510, 32934, 2098, 7125, 334, 7413, 281, 30855, 4440, 779, 16, 785, 6591, 309, 8011, 12142, 685, 19124, 3440, 510, 816, 16, 26, 5999, 6217, 7125, 1559, 28648, 4426, 1635, 825, 867, 864, 7019, 32687, 33869, 282, 49024, 1602, 17, 34123, 262, 11624, 35374, 9804, 473, 49600, 411, 35854, 291, 5285, 3151, 27633, 13, 510, 309, 2511, 16, 28, 7418, 519, 4843, 5759, 34278, 282, 4018, 1045, 18, 450, 2594, 885, 6150, 40169, 20322, 9071, 3412, 19793, 473, 4234, 16, 22, 9, 6778, 289, 4414, 1520, 1162, 22263, 473, 2479, 16, 25, 21956, 18592, 13303, 467, 17644, 883, 19205, 289, 5347, 4811, 510, 1658, 16, 21, 5999, 365, 12654, 12903, 6591, 685, 2619, 40719, 510, 1409, 16, 28, 7418, 367, 282, 17370, 7044, 12076, 1061, 16, 22, 5999, 19591, 26175, 32687, 33869, 10201, 16, 374, 19715, 3377, 15643, 281, 34196, 20454, 12142, 16, 14083, 16188, 29471, 18, 478, 48390, 16, 374, 31333, 9350, 6088, 10487, 16, 282, 2968, 475, 1143, 14034, 2477, 289, 3738, 1991, 1041, 3494, 1512, 16, 510, 2548, 6357, 289, 29846, 6187, 36243, 43, 504, 32868, 4671, 280, 600, 18, 510, 3249, 953, 40186, 1981, 16, 515, 1055, 2309, 2282, 660, 22750, 1211, 16, 29577, 11400, 20322, 289, 22858, 5800, 2553, 16835, 7653, 30503, 861, 365, 10264, 808, 23927, 32033, 14583, 16, 6881, 282, 36243, 43, 18, 403, 7847, 1045, 15025, 451, 6571, 4982, 14481, 4843, 3420, 21, 16, 22, 34278, 4426, 22142, 2909, 11736, 18, 640, 12237, 49361, 2044, 4128, 1715, 5953, 9, 7019, 4784, 265, 24183, 26175, 22929, 18, 22054, 3008, 14262, 4186, 1175, 294, 7847, 1045, 16, 428, 19988, 16, 49174, 1715, 19124, 289, 14481, 4843, 23, 16, 21, 34278, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 16544, 547, 25902, 32724, 8974, 16, 334, 7475, 23154, 1456, 444, 11438, 18471, 16, 3785, 28857, 18472, 11464, 1756, 281, 3915, 18, 967, 803, 764, 1272, 779, 2158, 40562, 11890, 282, 2045, 10505, 13764, 32724, 16, 8103, 47504, 6946, 281, 49210, 309, 5814, 2145, 6523, 3334, 7547, 23766, 5326, 16, 961, 282, 803, 1045, 19646, 4110, 5487, 3103, 1718, 3209, 28799, 10195, 18, 365, 5630, 13764, 1038, 11596, 776, 30940, 289, 1802, 1831, 18, 31224, 30, 11636, 1917, 5131, 539, 2689, 1880, 10958, 23154, 1456, 444, 11438, 18471, 6489, 576, 16544, 451, 16414, 32724, 8974, 16, 40780, 309, 5814, 2145, 18, 42717, 18264, 4164, 309, 4217, 1165, 430, 16, 22, 3763, 39274, 49054, 18, 16105, 564, 3103, 1718, 3209, 18536, 20142, 9032, 887, 6523, 1703, 31117, 18, 28865, 4309, 28799, 1559, 6950, 692, 16, 13205, 29004, 2241, 37556, 18, 640, 7422, 2468, 2551, 17833, 3253, 40562, 37556, 16, 367, 309, 15301, 764, 2361, 722, 30103, 1185, 4656, 1072, 18, 42172, 36784, 860, 5266, 19970, 16, 29679, 559, 89, 16, 1021, 43175, 289, 14805, 23495, 18, 7250, 276, 14704, 43829, 7878, 776, 30940, 16, 38317, 29004, 30340, 410, 41706, 289, 22350, 268, 35392, 1162, 40562, 1802, 1831, 18, 22432, 1270, 10366, 268, 776, 30940, 40393, 32934, 6591, 334, 7413, 281, 49509, 12260, 16, 6448, 33020, 281, 4016, 17, 361, 2223, 1833, 309, 1488, 17, 263, 18, 640, 18829, 1510, 6441, 2496, 7547, 23766, 1643, 2145, 282, 803, 1045, 7846, 619, 3646, 1742, 29004, 769, 974, 1863, 946, 16, 1029, 12307, 2287, 17, 263, 1756, 18, 39181, 17, 38, 29905, 4167, 282, 803, 1045, 309, 2418, 17, 295, 1718, 4762, 16, 367, 4332, 549, 282, 1175, 40562, 28646, 2383, 7463, 376, 309, 2123, 17, 277, 18, 967, 803, 17164, 14098, 764, 1293, 986, 2158, 282, 478, 6167, 582, 470, 25254, 40562, 28857, 18472, 529, 25882, 968, 16, 4055, 17, 263, 16, 1756, 28799, 18, 439, 29001, 34462, 44635, 9217, 3663, 685, 14449, 1442, 47186, 559, 18, 3739, 282, 4479, 1045, 28857, 17455, 2045, 4367, 1756, 289, 757, 11505, 24719, 541, 7842, 11673, 7547, 23766, 1643, 18, 3529, 11476, 6374, 9, 13542, 2241, 5684, 16414, 478, 370, 36470, 23861, 470, 289, 3230, 18, 365, 4440, 1045, 6688, 2241, 4893, 41930, 3768, 16, 289, 678, 10451, 5519, 309, 1939, 17, 263, 1756, 18, 967, 803, 12529, 28857, 1149, 40654, 281, 39406, 416, 40819, 39546, 8824, 2496, 13764, 282, 3177, 16354, 18, 365, 25881, 1045, 18001, 478, 370, 36470, 23861, 470, 9621, 925, 726, 2619, 5259, 9, 13542, 28857, 289, 2619, 3610, 9, 8974, 14369, 1672, 26397, 1185, 8713, 48470, 18, 5592, 3732, 23716, 11673, 17010, 18474, 6973, 4490, 7475, 8974, 1149, 1656, 1072, 16, 1149, 38934, 69, 289, 8992, 3632, 46129, 16, 961, 5823, 2619, 7095, 758, 16, 828, 30326, 11358, 13542, 18, 2949, 924, 16, 13362, 20649, 22321, 18607, 7870, 4461, 19416, 42, 2577, 289, 19416, 48, 8713, 48470, 786, 765, 1200, 18, 33320, 2873, 478, 25053, 2169, 470, 1038, 31134, 8251, 2919, 290, 3705, 6909, 10965, 848, 7733, 7802, 353, 9793, 30327, 20084, 25532, 18, 2949, 924, 16, 282, 11872, 4018, 779, 23154, 1456, 444, 11438, 18471, 44295, 282, 1595, 6656, 4256, 2903, 973, 18036, 8974, 22615, 9049, 28857, 10923, 2316, 18, 12883, 320, 2675, 10195, 322, 17497, 5040, 19220, 17832, 1465, 7994, 289, 3230, 46605, 23464, 43766, 25632, 549, 4461, 19416, 42, 2577, 786, 765, 1200, 18, 967, 803, 282, 16414, 322, 11596, 1421, 5936, 2241, 16, 961, 5928, 1886, 1360, 7095, 1330, 16, 651, 1302, 11611, 15548, 473, 275, 7044, 5554, 36586, 424, 7848, 1802, 4501, 69, 934, 1149, 40654, 289, 1185, 8713, 48470, 860, 47, 62, 18, 4794, 13495, 898, 6973, 2626, 541, 7063, 434, 9163, 3734, 779, 16, 289, 14697, 23154, 1456, 444, 11438, 18471, 322, 10469, 11028, 15743, 17165, 17605, 18, 13699, 1880, 10958, 23154, 1456, 444, 11438, 18471, 5092, 281, 19334, 779, 289, 13765, 305, 23557, 4607, 289, 40468, 4447, 17401, 933, 8520, 18, 44788, 48599, 10195, 41105, 2364, 1409, 16, 23, 3763, 1135, 18, 30491, 23154, 1456, 444, 11438, 18471, 9112, 24189, 309, 28467, 13354, 30, 10958, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3114, 16, 21, 309, 430, 3763, 4481, 13, 289, 22336, 473, 29, 16, 24, 309, 430, 3763, 814, 38207, 1712, 31615, 14034, 2477, 282, 26244, 298, 473, 3940, 23, 411, 11777, 36601, 366, 934, 22336, 473, 3572, 16, 26, 21327, 49838, 18668, 473, 3572, 16, 25, 21327, 33632, 1484, 473, 29, 16, 24, 18314, 289, 37971, 864, 298, 473, 28, 16, 22, 21956, 19591, 32687, 33869, 282, 30681, 40537, 349, 4018, 1205, 12076, 1409, 16, 28, 7418, 15025, 539, 23927, 4186, 9309, 33725, 519, 4843, 4234, 25, 16, 25, 34278, 510, 32934, 2098, 7125, 334, 7413, 281, 30855, 4440, 779, 16, 785, 6591, 309, 8011, 12142, 685, 19124, 3440, 510, 816, 16, 26, 5999, 6217, 7125, 1559, 28648, 4426, 1635, 825, 867, 864, 7019, 32687, 33869, 282, 49024, 1602, 17, 34123, 262, 11624, 35374, 9804, 473, 49600, 411, 35854, 291, 5285, 3151, 27633, 13, 510, 309, 2511, 16, 28, 7418, 519, 4843, 5759, 34278, 282, 4018, 1045, 18, 450, 2594, 885, 6150, 40169, 20322, 9071, 3412, 19793, 473, 4234, 16, 22, 9, 6778, 289, 4414, 1520, 1162, 22263, 473, 2479, 16, 25, 21956, 18592, 13303, 467, 17644, 883, 19205, 289, 5347, 4811, 510, 1658, 16, 21, 5999, 365, 12654, 12903, 6591, 685, 2619, 40719, 510, 1409, 16, 28, 7418, 367, 282, 17370, 7044, 12076, 1061, 16, 22, 5999, 19591, 26175, 32687, 33869, 10201, 16, 374, 19715, 3377, 15643, 281, 34196, 20454, 12142, 16, 14083, 16188, 29471, 18, 478, 48390, 16, 374, 31333, 9350, 6088, 10487, 16, 282, 2968, 475, 1143, 14034, 2477, 289, 3738, 1991, 1041, 3494, 1512, 16, 510, 2548, 6357, 289, 29846, 6187, 36243, 43, 504, 32868, 4671, 280, 600, 18, 510, 3249, 953, 40186, 1981, 16, 515, 1055, 2309, 2282, 660, 22750, 1211, 16, 29577, 11400, 20322, 289, 22858, 5800, 2553, 16835, 7653, 30503, 861, 365, 10264, 808, 23927, 32033, 14583, 16, 6881, 282, 36243, 43, 18, 403, 7847, 1045, 15025, 451, 6571, 4982, 14481, 4843, 3420, 21, 16, 22, 34278, 4426, 22142, 2909, 11736, 18, 640, 12237, 49361, 2044, 4128, 1715, 5953, 9, 7019, 4784, 265, 24183, 26175, 22929, 18, 22054, 3008, 14262, 4186, 1175, 294, 7847, 1045, 16, 428, 19988, 16, 49174, 1715, 19124, 289, 14481, 4843, 23, 16, 21, 34278, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 16544, 547, 25902, 32724, 8974, 16, 334, 7475, 23154, 1456, 444, 11438, 18471, 16, 3785, 28857, 18472, 11464, 1756, 281, 3915, 18, 967, 803, 764, 1272, 779, 2158, 40562, 11890, 282, 2045, 10505, 13764, 32724, 16, 8103, 47504, 6946, 281, 49210, 309, 5814, 2145, 6523, 3334, 7547, 23766, 5326, 16, 961, 282, 803, 1045, 19646, 4110, 5487, 3103, 1718, 3209, 28799, 10195, 18, 365, 5630, 13764, 1038, 11596, 776, 30940, 289, 1802, 1831, 18, 31224, 30, 11636, 1917, 5131, 539, 2689, 1880, 10958, 23154, 1456, 444, 11438, 18471, 6489, 576, 16544, 451, 16414, 32724, 8974, 16, 40780, 309, 5814, 2145, 18, 42717, 18264, 4164, 309, 4217, 1165, 430, 16, 22, 3763, 39274, 49054, 18, 16105, 564, 3103, 1718, 3209, 18536, 20142, 9032, 887, 6523, 1703, 31117, 18, 28865, 4309, 28799, 1559, 6950, 692, 16, 13205, 29004, 2241, 37556, 18, 640, 7422, 2468, 2551, 17833, 3253, 40562, 37556, 16, 367, 309, 15301, 764, 2361, 722, 30103, 1185, 4656, 1072, 18, 42172, 36784, 860, 5266, 19970, 16, 29679, 559, 89, 16, 1021, 43175, 289, 14805, 23495, 18, 7250, 276, 14704, 43829, 7878, 776, 30940, 16, 38317, 29004, 30340, 410, 41706, 289, 22350, 268, 35392, 1162, 40562, 1802, 1831, 18, 22432, 1270, 10366, 268, 776, 30940, 40393, 32934, 6591, 334, 7413, 281, 49509, 12260, 16, 6448, 33020, 281, 4016, 17, 361, 2223, 1833, 309, 1488, 17, 263, 18, 640, 18829, 1510, 6441, 2496, 7547, 23766, 1643, 2145, 282, 803, 1045, 7846, 619, 3646, 1742, 29004, 769, 974, 1863, 946, 16, 1029, 12307, 2287, 17, 263, 1756, 18, 39181, 17, 38, 29905, 4167, 282, 803, 1045, 309, 2418, 17, 295, 1718, 4762, 16, 367, 4332, 549, 282, 1175, 40562, 28646, 2383, 7463, 376, 309, 2123, 17, 277, 18, 967, 803, 17164, 14098, 764, 1293, 986, 2158, 282, 478, 6167, 582, 470, 25254, 40562, 28857, 18472, 529, 25882, 968, 16, 4055, 17, 263, 16, 1756, 28799, 18, 439, 29001, 34462, 44635, 9217, 3663, 685, 14449, 1442, 47186, 559, 18, 3739, 282, 4479, 1045, 28857, 17455, 2045, 4367, 1756, 289, 757, 11505, 24719, 541, 7842, 11673, 7547, 23766, 1643, 18, 3529, 11476, 6374, 9, 13542, 2241, 5684, 16414, 478, 370, 36470, 23861, 470, 289, 3230, 18, 365, 4440, 1045, 6688, 2241, 4893, 41930, 3768, 16, 289, 678, 10451, 5519, 309, 1939, 17, 263, 1756, 18, 967, 803, 12529, 28857, 1149, 40654, 281, 39406, 416, 40819, 39546, 8824, 2496, 13764, 282, 3177, 16354, 18, 365, 25881, 1045, 18001, 478, 370, 36470, 23861, 470, 9621, 925, 726, 2619, 5259, 9, 13542, 28857, 289, 2619, 3610, 9, 8974, 14369, 1672, 26397, 1185, 8713, 48470, 18, 5592, 3732, 23716, 11673, 17010, 18474, 6973, 4490, 7475, 8974, 1149, 1656, 1072, 16, 1149, 38934, 69, 289, 8992, 3632, 46129, 16, 961, 5823, 2619, 7095, 758, 16, 828, 30326, 11358, 13542, 18, 2949, 924, 16, 13362, 20649, 22321, 18607, 7870, 4461, 19416, 42, 2577, 289, 19416, 48, 8713, 48470, 786, 765, 1200, 18, 33320, 2873, 478, 25053, 2169, 470, 1038, 31134, 8251, 2919, 290, 3705, 6909, 10965, 848, 7733, 7802, 353, 9793, 30327, 20084, 25532, 18, 2949, 924, 16, 282, 11872, 4018, 779, 23154, 1456, 444, 11438, 18471, 44295, 282, 1595, 6656, 4256, 2903, 973, 18036, 8974, 22615, 9049, 28857, 10923, 2316, 18, 12883, 320, 2675, 10195, 322, 17497, 5040, 19220, 17832, 1465, 7994, 289, 3230, 46605, 23464, 43766, 25632, 549, 4461, 19416, 42, 2577, 786, 765, 1200, 18, 967, 803, 282, 16414, 322, 11596, 1421, 5936, 2241, 16, 961, 5928, 1886, 1360, 7095, 1330, 16, 651, 1302, 11611, 15548, 473, 275, 7044, 5554, 36586, 424, 7848, 1802, 4501, 69, 934, 1149, 40654, 289, 1185, 8713, 48470, 860, 47, 62, 18, 4794, 13495, 898, 6973, 2626, 541, 7063, 434, 9163, 3734, 779, 16, 289, 14697, 23154, 1456, 444, 11438, 18471, 322, 10469, 11028, 15743, 17165, 17605, 18, 13699, 1880, 10958, 23154, 1456, 444, 11438, 18471, 5092, 281, 19334, 779, 289, 13765, 305, 23557, 4607, 289, 40468, 4447, 17401, 933, 8520, 18, 44788, 48599, 10195, 41105, 2364, 1409, 16, 23, 3763, 1135, 18, 30491, 23154, 1456, 444, 11438, 18471, 9112, 24189, 309, 28467, 13354, 30, 10958, 322 ]
[ 13765, 305, 4546, 3675, 20775, 289, 322, 11660, 44473, 28588, 6340, 541, 15129, 651, 475, 13961, 4458, 802, 46086, 334, 33028, 8990, 18, 35378, 23766, 1947, 16, 7243, 4381, 1423, 15966, 309, 5814, 2145, 16, 2669, 14966, 3236, 294, 4734, 12380, 23154, 1456, 444, 11438, 18471, 18, 365, 4810, 16, 1011, 40387, 10195, 5836, 282, 29256, 5642, 34748, 2385, 2388, 2241, 16, 428, 35130, 16, 47698, 16, 2487, 3044, 87, 12316, 289, 37556, 18, 31325, 6187, 2241, 478, 7148, 1184, 11636, 299, 470, 6070, 632, 6587, 5273, 16, 374, 44462, 266, 10195, 6152, 32724, 8974, 28857, 3147, 15878, 363, 18, 478, 2176, 3927, 16, 1149, 38934, 69, 726, 334, 38926, 6459, 2634, 8482, 13556, 486, 1759, 20658, 341, 289, 33992, 341, 910, 510, 3973, 492, 478, 46088, 18, 8381, 861, 824, 4734, 34361, 16, 27713, 29141, 2477, 8992, 3632, 46129, 2669, 40110, 281, 46106, 22067, 23400, 15004, 16, 367, 4332, 549, 282, 1175, 7063, 1149, 1656, 1072, 3989, 1561, 1941, 334, 41037, 1341, 977, 282, 25319, 6046, 4912, 18, 365, 1423, 3678, 16, 290, 29723, 2244, 28799, 37556, 12987, 12550, 26765, 18, 824, 4734, 632, 370, 401, 16, 13495, 1335, 8934, 3929, 939, 7095, 758, 16, 289, 697, 14113, 7072, 11450, 27053, 18, 478, 677, 5329, 481, 32293, 4621, 16, 2805, 371, 22515, 13913, 7994, 309, 15693, 4267, 5814, 910, 510, 4725, 492, 18, 2949, 924, 16, 12987, 4725, 16, 374, 282, 4675, 808, 5040, 32724, 8974, 3725, 6271, 9478, 38778, 18, 824, 3163, 632, 370, 401, 16, 42363, 13965, 5366, 9478, 329, 5642, 4981, 39181, 17, 38, 29905, 16, 47698, 289, 722, 14369, 845, 8934, 30340, 410, 41706, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 642, 1443, 21807, 309, 14034, 2477, 567, 5670, 322, 840, 30, 492, 43793, 3576, 33085, 25851, 18, 9857, 3003, 5962, 12128, 5862, 2172, 2553, 18, 2877, 1258, 665, 344, 15435, 9180, 1919, 6327, 4581, 590, 18282, 282, 14873, 18066, 18, 439, 1215, 6591, 17411, 309, 19938, 16, 31769, 9402, 360, 266, 1214, 8527, 1356, 411, 5670, 16, 1568, 286, 16, 31364, 2172, 18, 31224, 30, 8871, 5323, 5862, 2172, 5670, 13749, 45815, 13367, 16125, 21807, 309, 18680, 15570, 1562, 16, 2470, 1587, 1033, 25817, 21, 3763, 282, 5004, 18, 478, 682, 14101, 309, 14034, 2477, 470, 282, 9802, 10952, 9, 1943, 685, 953, 34950, 281, 430, 3612, 3734, 779, 18, 817, 18695, 5932, 1817, 42877, 5978, 4753, 1756, 25364, 16, 367, 13588, 2587, 700, 510, 41463, 6053, 282, 15243, 18, 32354, 1979, 17411, 309, 18680, 15570, 1562, 8034, 282, 34831, 22139, 451, 3010, 5439, 22917, 14458, 44705, 16, 18763, 451, 282, 3178, 4335, 986, 26417, 25817, 3161, 5096, 18, 817, 14782, 25780, 7640, 17, 45900, 434, 21807, 309, 18680, 11476, 25817, 27154, 4500, 18, 282, 1205, 289, 10952, 16, 8979, 9, 651, 11476, 25817, 21, 3763, 18, 4794, 16125, 2125, 898, 37438, 541, 32107, 15706, 349, 4018, 1205, 18, 1787, 15706, 11476, 25817, 21, 3763, 16, 20474, 282, 3734, 1045, 16, 5337, 1943, 685, 16122, 10952, 16, 7751, 5999, 824, 47902, 5439, 16, 478, 1501, 317, 309, 14034, 2477, 470, 1943, 685, 282, 3734, 1045, 15438, 282, 48623, 25817, 18442, 3763, 18, 17135, 9713, 12679, 1817, 11919, 9391, 17, 2499, 25200, 2632, 18, 1606, 30359, 1263, 282, 12128, 5862, 2172, 473, 9827, 814, 365, 12128, 5862, 2172, 5670, 11926, 1658, 19142, 289, 1421, 16644, 4830, 18, 4199, 5930, 364, 16, 374, 5337, 282, 7640, 9, 309, 18680, 11476, 25817, 27154, 4500, 18, 1568, 286, 16, 367, 478, 1501, 317, 309, 14034, 2477, 470, 510, 1003, 18, 403, 563, 2055, 271, 709, 309, 502, 16, 374, 21619, 27200, 11963, 44306, 342, 289, 10070, 17808, 3018, 282, 970, 2875, 34977, 18, 832, 436, 489, 6806, 425, 1038, 9452, 282, 970, 16, 374, 5337, 1561, 2640, 334, 38083, 16, 282, 1639, 1176, 411, 36672, 12254, 1211, 1033, 25817, 21, 3763, 18, 439, 827, 5826, 17653, 12486, 2734, 3440, 25817, 21, 3763, 309, 4286, 16, 309, 1129, 5337, 322, 2098, 2269, 18, 4199, 2055, 271, 709, 309, 31427, 8752, 3623, 16, 282, 5118, 281, 3279, 39547, 27200, 32107, 541, 15570, 1562, 334, 1514, 30647, 322, 895, 33996, 20274, 16, 7751, 5999, 2112, 4075, 12128, 5355, 7067, 7638, 17, 13522, 5670, 13997, 17, 11108, 273, 7485, 331, 2815, 16, 374, 7064, 282, 23838, 1612, 7316, 305, 3531, 8369, 6152, 32107, 15570, 1562, 18, 640, 9118, 5439, 334, 5009, 11188, 41177, 10059, 20321, 403, 563, 322, 21519, 305, 16, 11466, 1867, 282, 12719, 18034, 18, 16566, 26422, 42800, 16545, 281, 27725, 14458, 44705, 16328, 16708, 9778, 1258, 665, 269, 15435, 9180, 1919, 18, 365, 8151, 3972, 492, 10218, 290, 30554, 10419, 360, 31378, 18, 15435, 9180, 1919, 3828, 16, 374, 895, 16419, 309, 32365, 8396, 3437, 2044, 30, 29956, 16, 21938, 950, 16, 988, 329, 1047, 912, 4431, 289, 4211, 16, 289, 1175, 16, 453, 428, 492, 15349, 10718, 3361, 281, 12984, 27402, 30012, 18, 12431, 272, 15435, 9180, 1919, 31193, 289, 2393, 30208, 1749, 5670, 18, 996, 16, 334, 3163, 11861, 1273, 48240, 16303, 1624, 282, 11671, 1045, 6981, 15908, 282, 15243, 11334, 35638, 47490, 38889, 26908, 718, 21359, 36243, 13070, 48830, 13997, 17, 983, 3653, 285, 1714, 18482, 18, 2263, 1714, 18482, 9473, 34991, 9080, 1728, 8261, 41836, 18, 478, 11539, 13070, 48830, 31851, 26267, 622, 5670, 281, 4947, 4611, 10931, 289, 15923, 18, 8444, 5273, 16, 374, 8275, 23140, 11035, 282, 803, 1045, 16, 515, 282, 13673, 3142, 19988, 1143, 6066, 5418, 26821, 910, 510, 2815, 492, 18, 2949, 1714, 18482, 25453, 726, 20915, 29846, 6187, 13588, 48693, 769, 58, 39, 46043, 13070, 48830, 39389, 616, 421, 5929, 289, 40467, 26542, 312, 320, 16, 2412, 2854, 1613, 575, 8892, 282, 776, 92, 69, 9157, 1044, 1899, 1302, 1823, 1868, 510, 5826, 36271, 49601, 282, 15243, 282, 803, 1045, 18, 824, 3761, 11861, 1149, 56, 16, 26542, 312, 320, 1038, 27035, 282, 15243, 18, 478, 6706, 5670, 1314, 939, 15444, 549, 23822, 2917, 4135, 16, 510, 10624, 3064, 1149, 56, 36271, 2059, 411, 13588, 635, 32948, 309, 4190, 23488, 617, 18, 651, 36478, 282, 10952, 9, 510, 7549, 3626, 15453, 820, 783, 4076, 18, 3492, 17, 299, 289, 3754, 5273, 16, 374, 481, 2252, 549, 25433, 5433, 1178, 5337, 541, 14034, 2477, 840, 9650, 286, 16, 27200, 21807, 309, 18680, 282, 29956, 473, 3324, 9, 309, 18680, 11476, 25817, 6654, 4500, 9761, 988, 15435 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13765, 305, 4546, 3675, 20775, 289, 322, 11660, 44473, 28588, 6340, 541, 15129, 651, 475, 13961, 4458, 802, 46086, 334, 33028, 8990, 18, 35378, 23766, 1947, 16, 7243, 4381, 1423, 15966, 309, 5814, 2145, 16, 2669, 14966, 3236, 294, 4734, 12380, 23154, 1456, 444, 11438, 18471, 18, 365, 4810, 16, 1011, 40387, 10195, 5836, 282, 29256, 5642, 34748, 2385, 2388, 2241, 16, 428, 35130, 16, 47698, 16, 2487, 3044, 87, 12316, 289, 37556, 18, 31325, 6187, 2241, 478, 7148, 1184, 11636, 299, 470, 6070, 632, 6587, 5273, 16, 374, 44462, 266, 10195, 6152, 32724, 8974, 28857, 3147, 15878, 363, 18, 478, 2176, 3927, 16, 1149, 38934, 69, 726, 334, 38926, 6459, 2634, 8482, 13556, 486, 1759, 20658, 341, 289, 33992, 341, 910, 510, 3973, 492, 478, 46088, 18, 8381, 861, 824, 4734, 34361, 16, 27713, 29141, 2477, 8992, 3632, 46129, 2669, 40110, 281, 46106, 22067, 23400, 15004, 16, 367, 4332, 549, 282, 1175, 7063, 1149, 1656, 1072, 3989, 1561, 1941, 334, 41037, 1341, 977, 282, 25319, 6046, 4912, 18, 365, 1423, 3678, 16, 290, 29723, 2244, 28799, 37556, 12987, 12550, 26765, 18, 824, 4734, 632, 370, 401, 16, 13495, 1335, 8934, 3929, 939, 7095, 758, 16, 289, 697, 14113, 7072, 11450, 27053, 18, 478, 677, 5329, 481, 32293, 4621, 16, 2805, 371, 22515, 13913, 7994, 309, 15693, 4267, 5814, 910, 510, 4725, 492, 18, 2949, 924, 16, 12987, 4725, 16, 374, 282, 4675, 808, 5040, 32724, 8974, 3725, 6271, 9478, 38778, 18, 824, 3163, 632, 370, 401, 16, 42363, 13965, 5366, 9478, 329, 5642, 4981, 39181, 17, 38, 29905, 16, 47698, 289, 722, 14369, 845, 8934, 30340, 410, 41706, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 642, 1443, 21807, 309, 14034, 2477, 567, 5670, 322, 840, 30, 492, 43793, 3576, 33085, 25851, 18, 9857, 3003, 5962, 12128, 5862, 2172, 2553, 18, 2877, 1258, 665, 344, 15435, 9180, 1919, 6327, 4581, 590, 18282, 282, 14873, 18066, 18, 439, 1215, 6591, 17411, 309, 19938, 16, 31769, 9402, 360, 266, 1214, 8527, 1356, 411, 5670, 16, 1568, 286, 16, 31364, 2172, 18, 31224, 30, 8871, 5323, 5862, 2172, 5670, 13749, 45815, 13367, 16125, 21807, 309, 18680, 15570, 1562, 16, 2470, 1587, 1033, 25817, 21, 3763, 282, 5004, 18, 478, 682, 14101, 309, 14034, 2477, 470, 282, 9802, 10952, 9, 1943, 685, 953, 34950, 281, 430, 3612, 3734, 779, 18, 817, 18695, 5932, 1817, 42877, 5978, 4753, 1756, 25364, 16, 367, 13588, 2587, 700, 510, 41463, 6053, 282, 15243, 18, 32354, 1979, 17411, 309, 18680, 15570, 1562, 8034, 282, 34831, 22139, 451, 3010, 5439, 22917, 14458, 44705, 16, 18763, 451, 282, 3178, 4335, 986, 26417, 25817, 3161, 5096, 18, 817, 14782, 25780, 7640, 17, 45900, 434, 21807, 309, 18680, 11476, 25817, 27154, 4500, 18, 282, 1205, 289, 10952, 16, 8979, 9, 651, 11476, 25817, 21, 3763, 18, 4794, 16125, 2125, 898, 37438, 541, 32107, 15706, 349, 4018, 1205, 18, 1787, 15706, 11476, 25817, 21, 3763, 16, 20474, 282, 3734, 1045, 16, 5337, 1943, 685, 16122, 10952, 16, 7751, 5999, 824, 47902, 5439, 16, 478, 1501, 317, 309, 14034, 2477, 470, 1943, 685, 282, 3734, 1045, 15438, 282, 48623, 25817, 18442, 3763, 18, 17135, 9713, 12679, 1817, 11919, 9391, 17, 2499, 25200, 2632, 18, 1606, 30359, 1263, 282, 12128, 5862, 2172, 473, 9827, 814, 365, 12128, 5862, 2172, 5670, 11926, 1658, 19142, 289, 1421, 16644, 4830, 18, 4199, 5930, 364, 16, 374, 5337, 282, 7640, 9, 309, 18680, 11476, 25817, 27154, 4500, 18, 1568, 286, 16, 367, 478, 1501, 317, 309, 14034, 2477, 470, 510, 1003, 18, 403, 563, 2055, 271, 709, 309, 502, 16, 374, 21619, 27200, 11963, 44306, 342, 289, 10070, 17808, 3018, 282, 970, 2875, 34977, 18, 832, 436, 489, 6806, 425, 1038, 9452, 282, 970, 16, 374, 5337, 1561, 2640, 334, 38083, 16, 282, 1639, 1176, 411, 36672, 12254, 1211, 1033, 25817, 21, 3763, 18, 439, 827, 5826, 17653, 12486, 2734, 3440, 25817, 21, 3763, 309, 4286, 16, 309, 1129, 5337, 322, 2098, 2269, 18, 4199, 2055, 271, 709, 309, 31427, 8752, 3623, 16, 282, 5118, 281, 3279, 39547, 27200, 32107, 541, 15570, 1562, 334, 1514, 30647, 322, 895, 33996, 20274, 16, 7751, 5999, 2112, 4075, 12128, 5355, 7067, 7638, 17, 13522, 5670, 13997, 17, 11108, 273, 7485, 331, 2815, 16, 374, 7064, 282, 23838, 1612, 7316, 305, 3531, 8369, 6152, 32107, 15570, 1562, 18, 640, 9118, 5439, 334, 5009, 11188, 41177, 10059, 20321, 403, 563, 322, 21519, 305, 16, 11466, 1867, 282, 12719, 18034, 18, 16566, 26422, 42800, 16545, 281, 27725, 14458, 44705, 16328, 16708, 9778, 1258, 665, 269, 15435, 9180, 1919, 18, 365, 8151, 3972, 492, 10218, 290, 30554, 10419, 360, 31378, 18, 15435, 9180, 1919, 3828, 16, 374, 895, 16419, 309, 32365, 8396, 3437, 2044, 30, 29956, 16, 21938, 950, 16, 988, 329, 1047, 912, 4431, 289, 4211, 16, 289, 1175, 16, 453, 428, 492, 15349, 10718, 3361, 281, 12984, 27402, 30012, 18, 12431, 272, 15435, 9180, 1919, 31193, 289, 2393, 30208, 1749, 5670, 18, 996, 16, 334, 3163, 11861, 1273, 48240, 16303, 1624, 282, 11671, 1045, 6981, 15908, 282, 15243, 11334, 35638, 47490, 38889, 26908, 718, 21359, 36243, 13070, 48830, 13997, 17, 983, 3653, 285, 1714, 18482, 18, 2263, 1714, 18482, 9473, 34991, 9080, 1728, 8261, 41836, 18, 478, 11539, 13070, 48830, 31851, 26267, 622, 5670, 281, 4947, 4611, 10931, 289, 15923, 18, 8444, 5273, 16, 374, 8275, 23140, 11035, 282, 803, 1045, 16, 515, 282, 13673, 3142, 19988, 1143, 6066, 5418, 26821, 910, 510, 2815, 492, 18, 2949, 1714, 18482, 25453, 726, 20915, 29846, 6187, 13588, 48693, 769, 58, 39, 46043, 13070, 48830, 39389, 616, 421, 5929, 289, 40467, 26542, 312, 320, 16, 2412, 2854, 1613, 575, 8892, 282, 776, 92, 69, 9157, 1044, 1899, 1302, 1823, 1868, 510, 5826, 36271, 49601, 282, 15243, 282, 803, 1045, 18, 824, 3761, 11861, 1149, 56, 16, 26542, 312, 320, 1038, 27035, 282, 15243, 18, 478, 6706, 5670, 1314, 939, 15444, 549, 23822, 2917, 4135, 16, 510, 10624, 3064, 1149, 56, 36271, 2059, 411, 13588, 635, 32948, 309, 4190, 23488, 617, 18, 651, 36478, 282, 10952, 9, 510, 7549, 3626, 15453, 820, 783, 4076, 18, 3492, 17, 299, 289, 3754, 5273, 16, 374, 481, 2252, 549, 25433, 5433, 1178, 5337, 541, 14034, 2477, 840, 9650, 286, 16, 27200, 21807, 309, 18680, 282, 29956, 473, 3324, 9, 309, 18680, 11476, 25817, 6654, 4500, 9761, 988, 15435 ]
[ 9180, 1919, 13594, 914, 16, 840, 33996, 4657, 2127, 18, 740, 42031, 16, 39666, 520, 3003, 7067, 23037, 42877, 289, 3609, 17, 23390, 2477, 13588, 2587, 2169, 12848, 25453, 18, 2949, 478, 1501, 1041, 309, 14034, 2477, 910, 9402, 541, 697, 38306, 1559, 6591, 34388, 34188, 309, 48950, 14758, 16, 1038, 2789, 5171, 282, 3010, 14458, 44705, 18, 6592, 15324, 14371, 16, 281, 3734, 779, 48978, 29338, 549, 1839, 455, 32107, 309, 19938, 651, 519, 15173, 5999, 3397, 5337, 309, 44498, 700, 4896, 3695, 7418, 309, 18680, 334, 21679, 4304, 651, 3436, 5999, 19591, 34188, 309, 19938, 403, 563, 13749, 43182, 18, 824, 3761, 16944, 3169, 718, 5500, 334, 24889, 6153, 5613, 473, 39, 815, 494, 1092, 41654, 26049, 93, 3627, 29756, 473, 39, 49, 38, 20524, 934, 4982, 40311, 26821, 26175, 15397, 567, 5670, 282, 803, 1045, 5009, 3287, 1033, 828, 19124, 510, 519, 1286, 16, 22, 5096, 7307, 18, 439, 282, 10676, 4982, 26821, 15204, 13588, 635, 32948, 7990, 309, 11114, 7418, 519, 667, 16, 24, 5096, 7307, 18, 13734, 1162, 49062, 11783, 13070, 48830, 16, 7296, 3308, 48658, 30649, 282, 25817, 21, 5096, 16, 282, 803, 1045, 11802, 8185, 282, 10676, 16, 4292, 3664, 309, 2103, 11247, 8892, 3609, 17, 503, 383, 16767, 411, 21196, 23832, 1899, 46043, 13949, 22917, 744, 10476, 312, 16, 1029, 48557, 282, 14109, 18, 824, 3761, 1149, 56, 16, 282, 4675, 808, 9118, 334, 6981, 721, 15923, 282, 15243, 26455, 802, 289, 282, 29480, 14025, 18, 2, 1, 87, 1456, 81, 2448, 30, 23441, 895, 10419, 360, 8465, 282, 2934, 6238, 17907, 478, 13762, 45836, 468, 470, 282, 25881, 1045, 16, 8977, 33035, 7824, 3050, 457, 27923, 18, 4756, 19676, 13012, 309, 11338, 17245, 4786, 26859, 37939, 17, 78, 26858, 49192, 10444, 16, 367, 1038, 30927, 4761, 43119, 18, 31440, 9321, 16, 374, 322, 3957, 3442, 4138, 1617, 11815, 282, 36847, 17, 333, 553, 12201, 23603, 18, 31224, 30, 23441, 895, 10419, 360, 8465, 282, 2934, 6238, 17907, 478, 13762, 45836, 468, 17, 2225, 29, 910, 1029, 8192, 281, 2418, 334, 1281, 3598, 282, 29820, 17, 49165, 546, 18, 1367, 803, 6442, 282, 20280, 15289, 3652, 665, 488, 9960, 7421, 2665, 473, 6223, 20284, 934, 5923, 6080, 478, 13261, 861, 478, 8871, 21806, 23854, 5065, 3079, 8902, 16, 289, 8770, 35268, 39976, 2678, 35596, 506, 445, 282, 1205, 309, 13858, 30482, 18, 5454, 16, 45698, 13079, 9650, 272, 8465, 2665, 282, 803, 1045, 18, 1345, 22038, 27861, 764, 281, 9631, 5364, 18, 1178, 481, 840, 5633, 13094, 281, 9631, 5364, 3003, 16, 656, 37602, 344, 3413, 281, 19279, 409, 2661, 16, 961, 40088, 1166, 11338, 910, 510, 9321, 3203, 12456, 18242, 20284, 6816, 15003, 14954, 18, 18592, 4419, 10287, 451, 5854, 2665, 309, 17907, 510, 4786, 26859, 37939, 17, 78, 26858, 49192, 10444, 651, 9321, 290, 38508, 37003, 360, 11815, 309, 11338, 18, 478, 3743, 687, 374, 656, 5684, 13999, 281, 18242, 20284, 289, 11843, 12707, 16, 374, 3038, 36437, 360, 8465, 309, 478, 13762, 45836, 763, 17, 2225, 29, 861, 3397, 1379, 478, 39, 1836, 1052, 461, 470, 26610, 2915, 18, 3397, 656, 309, 12159, 31950, 20194, 281, 41138, 36847, 487, 4309, 289, 1121, 339, 9744, 290, 12750, 432, 1613, 2244, 309, 10264, 808, 18, 2876, 5, 1258, 2445, 1304, 309, 3338, 10366, 2662, 24450, 510, 5130, 282, 469, 40484, 20762, 18, 26907, 1310, 548, 1038, 14350, 7282, 28654, 349, 29680, 49311, 289, 4369, 5740, 10287, 539, 9357, 539, 3455, 282, 17907, 16, 5923, 727, 4742, 18, 478, 37864, 485, 4431, 5, 5390, 349, 9499, 8156, 16, 5318, 16, 28354, 289, 349, 502, 16, 374, 475, 808, 898, 281, 3928, 5, 1345, 939, 29918, 16, 374, 387, 18187, 13898, 1299, 11464, 1756, 15185, 31416, 478, 13762, 45836, 427, 17, 2225, 29, 19461, 11780, 15127, 16410, 510, 481, 387, 5, 1787, 1304, 656, 6662, 5770, 2712, 16, 1001, 2529, 8735, 16, 18515, 10900, 448, 31882, 289, 43667, 32171, 18, 3249, 16, 785, 656, 764, 445, 34706, 1617, 3402, 282, 44275, 360, 22339, 3069, 470, 510, 41274, 4110, 7190, 26859, 37939, 17, 78, 26858, 49192, 10444, 18, 20346, 360, 11815, 309, 478, 13762, 45836, 763, 470, 9473, 2107, 5854, 2665, 651, 30927, 4761, 43119, 16, 3110, 391, 26448, 18, 478, 6115, 456, 2696, 741, 735, 572, 289, 30927, 4761, 43119, 16, 1586, 38552, 282, 44275, 360, 22339, 309, 1764, 45836, 468, 16, 322, 6498, 294, 39690, 334, 5083, 8465, 282, 2934, 6238, 17907, 478, 13762, 45836, 468, 470, 282, 3941, 9163, 4284, 18, 3873, 10038, 7956, 3138, 37200, 473, 267, 3615, 3878, 3499, 4761, 43119, 13, 38552, 282, 3198, 10162, 10801, 289, 7356, 41693, 3411, 271, 360, 15364, 18, 4988, 18804, 8052, 33598, 39801, 14697, 16, 7190, 11338, 17, 296, 46685, 289, 28929, 910, 510, 17930, 282, 9907, 18242, 20284, 18, 14078, 4761, 43119, 575, 9321, 16, 374, 2644, 9105, 281, 18242, 20284, 541, 1710, 3929, 478, 343, 296, 5925, 861, 824, 3163, 40994, 16, 1011, 10096, 3139, 11738, 281, 40834, 2726, 2610, 10529, 294, 37315, 1508, 453, 289, 322, 3225, 18, 2949, 924, 16, 678, 39672, 16, 374, 3038, 360, 27521, 13789, 334, 1175, 322, 685, 541, 1710, 13337, 3276, 30908, 18, 478, 31019, 448, 39588, 18474, 2393, 18303, 9105, 16, 961, 16, 827, 417, 15028, 2142, 16, 10191, 541, 703, 2974, 5925, 18, 629, 510, 2954, 343, 2665, 16, 43917, 24075, 289, 12019, 6540, 13012, 18, 740, 322, 9013, 17884, 281, 19167, 4455, 16, 3442, 3222, 2159, 32284, 309, 17907, 282, 36847, 17, 333, 553, 3338, 23603, 18, 629, 510, 34349, 16, 367, 322, 316, 1004, 309, 10035, 30482, 910, 510, 9321, 9774, 2016, 18, 20405, 16, 374, 4761, 43119, 42883, 3888, 18303, 20194, 478, 2851, 4288, 280, 758, 470, 764, 519, 2742, 11738, 18, 3873, 10038, 16926, 16, 374, 281, 1710, 840, 43500, 506, 10556, 349, 44061, 14570, 17708, 281, 16052, 5792, 18, 478, 8756, 4642, 2328, 703, 1698, 11187, 7564, 20689, 309, 47511, 6067, 329, 5608, 17, 1796, 9541, 17, 293, 30557, 16, 289, 282, 1750, 6309, 703, 5689, 23305, 4364, 289, 381, 274, 10304, 3226, 36089, 10556, 282, 491, 3763, 25556, 18, 23162, 40825, 18242, 20284, 8641, 33900, 4271, 510, 45574, 4761, 43119, 18, 21713, 7920, 16934, 334, 17702, 16974, 28933, 31656, 282, 1335, 2630, 16, 374, 40587, 16, 961, 478, 44451, 414, 424, 3781, 16, 510, 15543, 27477, 309, 4862, 861, 478, 4348, 7836, 1269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9180, 1919, 13594, 914, 16, 840, 33996, 4657, 2127, 18, 740, 42031, 16, 39666, 520, 3003, 7067, 23037, 42877, 289, 3609, 17, 23390, 2477, 13588, 2587, 2169, 12848, 25453, 18, 2949, 478, 1501, 1041, 309, 14034, 2477, 910, 9402, 541, 697, 38306, 1559, 6591, 34388, 34188, 309, 48950, 14758, 16, 1038, 2789, 5171, 282, 3010, 14458, 44705, 18, 6592, 15324, 14371, 16, 281, 3734, 779, 48978, 29338, 549, 1839, 455, 32107, 309, 19938, 651, 519, 15173, 5999, 3397, 5337, 309, 44498, 700, 4896, 3695, 7418, 309, 18680, 334, 21679, 4304, 651, 3436, 5999, 19591, 34188, 309, 19938, 403, 563, 13749, 43182, 18, 824, 3761, 16944, 3169, 718, 5500, 334, 24889, 6153, 5613, 473, 39, 815, 494, 1092, 41654, 26049, 93, 3627, 29756, 473, 39, 49, 38, 20524, 934, 4982, 40311, 26821, 26175, 15397, 567, 5670, 282, 803, 1045, 5009, 3287, 1033, 828, 19124, 510, 519, 1286, 16, 22, 5096, 7307, 18, 439, 282, 10676, 4982, 26821, 15204, 13588, 635, 32948, 7990, 309, 11114, 7418, 519, 667, 16, 24, 5096, 7307, 18, 13734, 1162, 49062, 11783, 13070, 48830, 16, 7296, 3308, 48658, 30649, 282, 25817, 21, 5096, 16, 282, 803, 1045, 11802, 8185, 282, 10676, 16, 4292, 3664, 309, 2103, 11247, 8892, 3609, 17, 503, 383, 16767, 411, 21196, 23832, 1899, 46043, 13949, 22917, 744, 10476, 312, 16, 1029, 48557, 282, 14109, 18, 824, 3761, 1149, 56, 16, 282, 4675, 808, 9118, 334, 6981, 721, 15923, 282, 15243, 26455, 802, 289, 282, 29480, 14025, 18, 2, 1, 87, 1456, 81, 2448, 30, 23441, 895, 10419, 360, 8465, 282, 2934, 6238, 17907, 478, 13762, 45836, 468, 470, 282, 25881, 1045, 16, 8977, 33035, 7824, 3050, 457, 27923, 18, 4756, 19676, 13012, 309, 11338, 17245, 4786, 26859, 37939, 17, 78, 26858, 49192, 10444, 16, 367, 1038, 30927, 4761, 43119, 18, 31440, 9321, 16, 374, 322, 3957, 3442, 4138, 1617, 11815, 282, 36847, 17, 333, 553, 12201, 23603, 18, 31224, 30, 23441, 895, 10419, 360, 8465, 282, 2934, 6238, 17907, 478, 13762, 45836, 468, 17, 2225, 29, 910, 1029, 8192, 281, 2418, 334, 1281, 3598, 282, 29820, 17, 49165, 546, 18, 1367, 803, 6442, 282, 20280, 15289, 3652, 665, 488, 9960, 7421, 2665, 473, 6223, 20284, 934, 5923, 6080, 478, 13261, 861, 478, 8871, 21806, 23854, 5065, 3079, 8902, 16, 289, 8770, 35268, 39976, 2678, 35596, 506, 445, 282, 1205, 309, 13858, 30482, 18, 5454, 16, 45698, 13079, 9650, 272, 8465, 2665, 282, 803, 1045, 18, 1345, 22038, 27861, 764, 281, 9631, 5364, 18, 1178, 481, 840, 5633, 13094, 281, 9631, 5364, 3003, 16, 656, 37602, 344, 3413, 281, 19279, 409, 2661, 16, 961, 40088, 1166, 11338, 910, 510, 9321, 3203, 12456, 18242, 20284, 6816, 15003, 14954, 18, 18592, 4419, 10287, 451, 5854, 2665, 309, 17907, 510, 4786, 26859, 37939, 17, 78, 26858, 49192, 10444, 651, 9321, 290, 38508, 37003, 360, 11815, 309, 11338, 18, 478, 3743, 687, 374, 656, 5684, 13999, 281, 18242, 20284, 289, 11843, 12707, 16, 374, 3038, 36437, 360, 8465, 309, 478, 13762, 45836, 763, 17, 2225, 29, 861, 3397, 1379, 478, 39, 1836, 1052, 461, 470, 26610, 2915, 18, 3397, 656, 309, 12159, 31950, 20194, 281, 41138, 36847, 487, 4309, 289, 1121, 339, 9744, 290, 12750, 432, 1613, 2244, 309, 10264, 808, 18, 2876, 5, 1258, 2445, 1304, 309, 3338, 10366, 2662, 24450, 510, 5130, 282, 469, 40484, 20762, 18, 26907, 1310, 548, 1038, 14350, 7282, 28654, 349, 29680, 49311, 289, 4369, 5740, 10287, 539, 9357, 539, 3455, 282, 17907, 16, 5923, 727, 4742, 18, 478, 37864, 485, 4431, 5, 5390, 349, 9499, 8156, 16, 5318, 16, 28354, 289, 349, 502, 16, 374, 475, 808, 898, 281, 3928, 5, 1345, 939, 29918, 16, 374, 387, 18187, 13898, 1299, 11464, 1756, 15185, 31416, 478, 13762, 45836, 427, 17, 2225, 29, 19461, 11780, 15127, 16410, 510, 481, 387, 5, 1787, 1304, 656, 6662, 5770, 2712, 16, 1001, 2529, 8735, 16, 18515, 10900, 448, 31882, 289, 43667, 32171, 18, 3249, 16, 785, 656, 764, 445, 34706, 1617, 3402, 282, 44275, 360, 22339, 3069, 470, 510, 41274, 4110, 7190, 26859, 37939, 17, 78, 26858, 49192, 10444, 18, 20346, 360, 11815, 309, 478, 13762, 45836, 763, 470, 9473, 2107, 5854, 2665, 651, 30927, 4761, 43119, 16, 3110, 391, 26448, 18, 478, 6115, 456, 2696, 741, 735, 572, 289, 30927, 4761, 43119, 16, 1586, 38552, 282, 44275, 360, 22339, 309, 1764, 45836, 468, 16, 322, 6498, 294, 39690, 334, 5083, 8465, 282, 2934, 6238, 17907, 478, 13762, 45836, 468, 470, 282, 3941, 9163, 4284, 18, 3873, 10038, 7956, 3138, 37200, 473, 267, 3615, 3878, 3499, 4761, 43119, 13, 38552, 282, 3198, 10162, 10801, 289, 7356, 41693, 3411, 271, 360, 15364, 18, 4988, 18804, 8052, 33598, 39801, 14697, 16, 7190, 11338, 17, 296, 46685, 289, 28929, 910, 510, 17930, 282, 9907, 18242, 20284, 18, 14078, 4761, 43119, 575, 9321, 16, 374, 2644, 9105, 281, 18242, 20284, 541, 1710, 3929, 478, 343, 296, 5925, 861, 824, 3163, 40994, 16, 1011, 10096, 3139, 11738, 281, 40834, 2726, 2610, 10529, 294, 37315, 1508, 453, 289, 322, 3225, 18, 2949, 924, 16, 678, 39672, 16, 374, 3038, 360, 27521, 13789, 334, 1175, 322, 685, 541, 1710, 13337, 3276, 30908, 18, 478, 31019, 448, 39588, 18474, 2393, 18303, 9105, 16, 961, 16, 827, 417, 15028, 2142, 16, 10191, 541, 703, 2974, 5925, 18, 629, 510, 2954, 343, 2665, 16, 43917, 24075, 289, 12019, 6540, 13012, 18, 740, 322, 9013, 17884, 281, 19167, 4455, 16, 3442, 3222, 2159, 32284, 309, 17907, 282, 36847, 17, 333, 553, 3338, 23603, 18, 629, 510, 34349, 16, 367, 322, 316, 1004, 309, 10035, 30482, 910, 510, 9321, 9774, 2016, 18, 20405, 16, 374, 4761, 43119, 42883, 3888, 18303, 20194, 478, 2851, 4288, 280, 758, 470, 764, 519, 2742, 11738, 18, 3873, 10038, 16926, 16, 374, 281, 1710, 840, 43500, 506, 10556, 349, 44061, 14570, 17708, 281, 16052, 5792, 18, 478, 8756, 4642, 2328, 703, 1698, 11187, 7564, 20689, 309, 47511, 6067, 329, 5608, 17, 1796, 9541, 17, 293, 30557, 16, 289, 282, 1750, 6309, 703, 5689, 23305, 4364, 289, 381, 274, 10304, 3226, 36089, 10556, 282, 491, 3763, 25556, 18, 23162, 40825, 18242, 20284, 8641, 33900, 4271, 510, 45574, 4761, 43119, 18, 21713, 7920, 16934, 334, 17702, 16974, 28933, 31656, 282, 1335, 2630, 16, 374, 40587, 16, 961, 478, 44451, 414, 424, 3781, 16, 510, 15543, 27477, 309, 4862, 861, 478, 4348, 7836, 1269 ]
[ 29274, 16, 785, 17234, 15590, 7768, 4092, 6178, 7467, 18282, 309, 13012, 289, 322, 8712, 467, 282, 6551, 1634, 910, 510, 2323, 28933, 18, 4756, 334, 5330, 1433, 49252, 2107, 18407, 31416, 309, 478, 13762, 45836, 468, 470, 360, 2665, 510, 1771, 5353, 478, 36040, 17, 43589, 470, 473, 431, 1878, 1453, 9631, 10226, 11007, 7956, 289, 8909, 415, 26458, 7271, 273, 814, 385, 4947, 4611, 12201, 11944, 289, 5792, 16, 1771, 5353, 282, 3709, 411, 7337, 478, 404, 1599, 6009, 470, 35447, 6152, 11007, 18, 7106, 16, 374, 282, 7847, 1045, 2917, 478, 13762, 45836, 427, 470, 473, 48743, 2972, 20202, 282, 11379, 13, 27034, 811, 15506, 16, 1029, 685, 14736, 281, 11854, 761, 29431, 355, 31703, 28146, 1624, 510, 9774, 2827, 16, 13232, 416, 541, 8465, 282, 11338, 16, 37440, 30546, 309, 9482, 2665, 349, 27456, 11007, 18, 365, 6031, 6551, 13619, 414, 349, 3038, 15185, 3652, 18713, 735, 1887, 360, 50244, 16, 13012, 510, 349, 24829, 328, 1951, 2203, 360, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 8011, 28228, 290, 1126, 635, 5009, 4840, 39511, 7179, 8697, 6980, 1033, 828, 19124, 2957, 5481, 16127, 13429, 334, 7413, 281, 12793, 3612, 18, 889, 322, 9245, 281, 12504, 1134, 16, 6597, 13156, 282, 12893, 18, 478, 46625, 38547, 470, 11189, 26833, 319, 26230, 541, 29246, 2303, 4593, 34279, 18, 31224, 30, 4408, 3761, 1312, 28478, 457, 28249, 16, 282, 2849, 281, 1061, 334, 2123, 3612, 478, 46625, 38547, 2665, 470, 34673, 271, 39409, 1033, 3610, 3763, 34184, 282, 8729, 18, 385, 1281, 7619, 27698, 4732, 14583, 16, 289, 294, 3695, 3612, 1966, 18382, 24260, 5575, 34013, 3763, 34184, 18, 365, 478, 46625, 38547, 263, 470, 322, 7737, 18622, 13202, 1519, 6730, 18, 365, 478, 7128, 293, 1725, 470, 23051, 15634, 31416, 16, 515, 360, 13840, 15841, 17245, 18, 6980, 282, 4018, 1045, 6554, 6353, 21398, 4982, 39773, 7179, 8697, 18, 21552, 21666, 289, 1355, 10365, 9779, 2665, 9543, 18720, 405, 3153, 16, 374, 478, 46625, 38547, 470, 840, 708, 25767, 1472, 4055, 5096, 34184, 30, 478, 9676, 533, 16, 3176, 2003, 541, 722, 21666, 861, 365, 3106, 26403, 37712, 2303, 272, 6980, 15069, 3836, 24710, 16, 33412, 2024, 282, 4440, 1045, 23980, 15513, 432, 26746, 3763, 7833, 18, 740, 334, 1097, 22897, 47218, 281, 478, 18306, 304, 470, 6980, 282, 28731, 1045, 2879, 10657, 3299, 16279, 5096, 34184, 16, 43764, 4982, 473, 10004, 10556, 432, 13951, 13, 4896, 6459, 9, 360, 6231, 9305, 473, 10176, 16, 26, 5096, 34184, 814, 365, 21514, 1750, 3771, 2397, 2990, 20612, 23371, 349, 17047, 350, 18, 30415, 305, 47089, 27480, 281, 478, 18306, 304, 470, 478, 46625, 38547, 470, 14900, 282, 5021, 1045, 16, 785, 9744, 12099, 3064, 9399, 44290, 32652, 18, 967, 39852, 5995, 309, 2303, 3744, 2444, 6134, 16047, 29873, 289, 2303, 323, 379, 349, 11563, 15102, 1658, 4776, 18, 1787, 14296, 5995, 24283, 35973, 349, 14548, 685, 8170, 8275, 9893, 16, 988, 5995, 8329, 411, 3322, 12647, 282, 7044, 18, 365, 33762, 19936, 4440, 779, 6980, 821, 4318, 2364, 4843, 24342, 349, 3441, 16719, 34184, 510, 11534, 15341, 16642, 4999, 2898, 30153, 4593, 7043, 18, 1312, 15194, 541, 2665, 309, 34098, 6187, 16446, 17628, 1180, 633, 7085, 565, 31202, 6070, 3138, 1313, 2931, 46039, 282, 4843, 25, 3902, 349, 16719, 34184, 18, 28616, 4419, 4609, 1166, 4162, 14938, 46724, 541, 2665, 4652, 282, 4843, 22, 16, 25, 5096, 18, 740, 18720, 405, 2548, 16, 374, 329, 14512, 478, 6294, 16121, 607, 16, 961, 23871, 8945, 38770, 13951, 349, 17047, 350, 8697, 861, 365, 25909, 281, 478, 18306, 304, 470, 6980, 895, 19781, 506, 309, 15999, 16685, 287, 13269, 47089, 40429, 18, 2123, 3612, 478, 18306, 470, 10218, 381, 32694, 27480, 281, 20305, 1180, 40, 42, 715, 3028, 94, 16, 18522, 1234, 657, 633, 16, 1694, 19219, 42405, 52, 16, 35115, 715, 410, 11519, 2751, 24302, 73, 289, 20548, 680, 27788, 2416, 633, 18, 640, 1967, 17010, 6110, 2364, 2706, 9, 27441, 7179, 8697, 282, 6564, 668, 16109, 18, 478, 18306, 470, 478, 267, 956, 1769, 7636, 364, 12778, 29479, 8697, 910, 5542, 9529, 13156, 21408, 1624, 23377, 294, 7786, 30806, 281, 715, 410, 11519, 2751, 24302, 73, 18, 478, 563, 44832, 5416, 16, 374, 3640, 9383, 15768, 343, 18088, 2466, 47089, 40429, 281, 17370, 49862, 282, 4101, 3142, 3164, 424, 43854, 23057, 411, 17, 431, 22478, 1033, 12532, 346, 8697, 309, 497, 6587, 304, 5814, 289, 11548, 334, 7334, 8546, 23545, 23392, 8697, 910, 510, 2548, 282, 22076, 547, 7337, 478, 46088, 18, 8381, 470, 6548, 46038, 12877, 1302, 47399, 14341, 13358, 727, 3653, 292, 18847, 380, 18, 478, 730, 15550, 18088, 2466, 40429, 726, 16685, 987, 334, 2898, 2509, 41019, 282, 4356, 19831, 31114, 16296, 3328, 8581, 2381, 18, 740, 334, 17, 6093, 13860, 16, 481, 2252, 549, 25433, 670, 28740, 18, 23200, 417, 9763, 16, 374, 15768, 343, 47089, 2898, 294, 10960, 8633, 8252, 1809, 541, 18088, 2466, 40429, 16, 4119, 1888, 26830, 592, 1569, 32324, 840, 27830, 475, 1033, 23757, 910, 510, 9299, 492, 18, 365, 3734, 1045, 6980, 26579, 764, 1033, 19760, 27698, 708, 3426, 6699, 7179, 8697, 651, 827, 492, 294, 2222, 1612, 322, 41413, 466, 546, 305, 18, 824, 3163, 9362, 16, 329, 2665, 478, 10524, 396, 3290, 315, 470, 289, 18347, 2891, 6884, 309, 13965, 32873, 37634, 281, 6409, 40302, 18, 478, 563, 9752, 2828, 4699, 1810, 16, 2588, 656, 10258, 16, 656, 11680, 282, 1360, 835, 2843, 910, 510, 9299, 18720, 405, 18, 20099, 12456, 41724, 478, 34803, 16489, 2665, 470, 16095, 39004, 931, 10050, 16, 374, 1314, 329, 14512, 1003, 5941, 282, 41079, 31416, 18, 478, 682, 2621, 2023, 16, 374, 2303, 30912, 735, 5194, 17011, 3118, 16, 515, 8697, 7696, 910, 510, 2548, 12189, 18, 817, 3893, 16, 374, 6980, 322, 18889, 360, 24562, 39773, 7179, 8697, 18, 478, 8706, 1979, 290, 36661, 31416, 16, 1029, 656, 1314, 45902, 16, 7006, 520, 1623, 8485, 4118, 16, 510, 2548, 12189, 18, 651, 11474, 1223, 16, 481, 9245, 281, 11256, 17, 299, 4372, 6390, 19381, 16, 289, 6591, 31416, 322, 840, 27972, 861, 36432, 1357, 39511, 7179, 8697, 895, 953, 9245, 281, 45810, 13535, 18, 385, 1061, 334, 2123, 3612, 678, 2539, 5820, 282, 31820, 360, 4668, 25, 519, 376, 25, 12762, 16, 282, 10666, 282, 11379, 639, 376, 27, 12762, 18, 740, 294, 19046, 3750, 4275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29274, 16, 785, 17234, 15590, 7768, 4092, 6178, 7467, 18282, 309, 13012, 289, 322, 8712, 467, 282, 6551, 1634, 910, 510, 2323, 28933, 18, 4756, 334, 5330, 1433, 49252, 2107, 18407, 31416, 309, 478, 13762, 45836, 468, 470, 360, 2665, 510, 1771, 5353, 478, 36040, 17, 43589, 470, 473, 431, 1878, 1453, 9631, 10226, 11007, 7956, 289, 8909, 415, 26458, 7271, 273, 814, 385, 4947, 4611, 12201, 11944, 289, 5792, 16, 1771, 5353, 282, 3709, 411, 7337, 478, 404, 1599, 6009, 470, 35447, 6152, 11007, 18, 7106, 16, 374, 282, 7847, 1045, 2917, 478, 13762, 45836, 427, 470, 473, 48743, 2972, 20202, 282, 11379, 13, 27034, 811, 15506, 16, 1029, 685, 14736, 281, 11854, 761, 29431, 355, 31703, 28146, 1624, 510, 9774, 2827, 16, 13232, 416, 541, 8465, 282, 11338, 16, 37440, 30546, 309, 9482, 2665, 349, 27456, 11007, 18, 365, 6031, 6551, 13619, 414, 349, 3038, 15185, 3652, 18713, 735, 1887, 360, 50244, 16, 13012, 510, 349, 24829, 328, 1951, 2203, 360, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 8011, 28228, 290, 1126, 635, 5009, 4840, 39511, 7179, 8697, 6980, 1033, 828, 19124, 2957, 5481, 16127, 13429, 334, 7413, 281, 12793, 3612, 18, 889, 322, 9245, 281, 12504, 1134, 16, 6597, 13156, 282, 12893, 18, 478, 46625, 38547, 470, 11189, 26833, 319, 26230, 541, 29246, 2303, 4593, 34279, 18, 31224, 30, 4408, 3761, 1312, 28478, 457, 28249, 16, 282, 2849, 281, 1061, 334, 2123, 3612, 478, 46625, 38547, 2665, 470, 34673, 271, 39409, 1033, 3610, 3763, 34184, 282, 8729, 18, 385, 1281, 7619, 27698, 4732, 14583, 16, 289, 294, 3695, 3612, 1966, 18382, 24260, 5575, 34013, 3763, 34184, 18, 365, 478, 46625, 38547, 263, 470, 322, 7737, 18622, 13202, 1519, 6730, 18, 365, 478, 7128, 293, 1725, 470, 23051, 15634, 31416, 16, 515, 360, 13840, 15841, 17245, 18, 6980, 282, 4018, 1045, 6554, 6353, 21398, 4982, 39773, 7179, 8697, 18, 21552, 21666, 289, 1355, 10365, 9779, 2665, 9543, 18720, 405, 3153, 16, 374, 478, 46625, 38547, 470, 840, 708, 25767, 1472, 4055, 5096, 34184, 30, 478, 9676, 533, 16, 3176, 2003, 541, 722, 21666, 861, 365, 3106, 26403, 37712, 2303, 272, 6980, 15069, 3836, 24710, 16, 33412, 2024, 282, 4440, 1045, 23980, 15513, 432, 26746, 3763, 7833, 18, 740, 334, 1097, 22897, 47218, 281, 478, 18306, 304, 470, 6980, 282, 28731, 1045, 2879, 10657, 3299, 16279, 5096, 34184, 16, 43764, 4982, 473, 10004, 10556, 432, 13951, 13, 4896, 6459, 9, 360, 6231, 9305, 473, 10176, 16, 26, 5096, 34184, 814, 365, 21514, 1750, 3771, 2397, 2990, 20612, 23371, 349, 17047, 350, 18, 30415, 305, 47089, 27480, 281, 478, 18306, 304, 470, 478, 46625, 38547, 470, 14900, 282, 5021, 1045, 16, 785, 9744, 12099, 3064, 9399, 44290, 32652, 18, 967, 39852, 5995, 309, 2303, 3744, 2444, 6134, 16047, 29873, 289, 2303, 323, 379, 349, 11563, 15102, 1658, 4776, 18, 1787, 14296, 5995, 24283, 35973, 349, 14548, 685, 8170, 8275, 9893, 16, 988, 5995, 8329, 411, 3322, 12647, 282, 7044, 18, 365, 33762, 19936, 4440, 779, 6980, 821, 4318, 2364, 4843, 24342, 349, 3441, 16719, 34184, 510, 11534, 15341, 16642, 4999, 2898, 30153, 4593, 7043, 18, 1312, 15194, 541, 2665, 309, 34098, 6187, 16446, 17628, 1180, 633, 7085, 565, 31202, 6070, 3138, 1313, 2931, 46039, 282, 4843, 25, 3902, 349, 16719, 34184, 18, 28616, 4419, 4609, 1166, 4162, 14938, 46724, 541, 2665, 4652, 282, 4843, 22, 16, 25, 5096, 18, 740, 18720, 405, 2548, 16, 374, 329, 14512, 478, 6294, 16121, 607, 16, 961, 23871, 8945, 38770, 13951, 349, 17047, 350, 8697, 861, 365, 25909, 281, 478, 18306, 304, 470, 6980, 895, 19781, 506, 309, 15999, 16685, 287, 13269, 47089, 40429, 18, 2123, 3612, 478, 18306, 470, 10218, 381, 32694, 27480, 281, 20305, 1180, 40, 42, 715, 3028, 94, 16, 18522, 1234, 657, 633, 16, 1694, 19219, 42405, 52, 16, 35115, 715, 410, 11519, 2751, 24302, 73, 289, 20548, 680, 27788, 2416, 633, 18, 640, 1967, 17010, 6110, 2364, 2706, 9, 27441, 7179, 8697, 282, 6564, 668, 16109, 18, 478, 18306, 470, 478, 267, 956, 1769, 7636, 364, 12778, 29479, 8697, 910, 5542, 9529, 13156, 21408, 1624, 23377, 294, 7786, 30806, 281, 715, 410, 11519, 2751, 24302, 73, 18, 478, 563, 44832, 5416, 16, 374, 3640, 9383, 15768, 343, 18088, 2466, 47089, 40429, 281, 17370, 49862, 282, 4101, 3142, 3164, 424, 43854, 23057, 411, 17, 431, 22478, 1033, 12532, 346, 8697, 309, 497, 6587, 304, 5814, 289, 11548, 334, 7334, 8546, 23545, 23392, 8697, 910, 510, 2548, 282, 22076, 547, 7337, 478, 46088, 18, 8381, 470, 6548, 46038, 12877, 1302, 47399, 14341, 13358, 727, 3653, 292, 18847, 380, 18, 478, 730, 15550, 18088, 2466, 40429, 726, 16685, 987, 334, 2898, 2509, 41019, 282, 4356, 19831, 31114, 16296, 3328, 8581, 2381, 18, 740, 334, 17, 6093, 13860, 16, 481, 2252, 549, 25433, 670, 28740, 18, 23200, 417, 9763, 16, 374, 15768, 343, 47089, 2898, 294, 10960, 8633, 8252, 1809, 541, 18088, 2466, 40429, 16, 4119, 1888, 26830, 592, 1569, 32324, 840, 27830, 475, 1033, 23757, 910, 510, 9299, 492, 18, 365, 3734, 1045, 6980, 26579, 764, 1033, 19760, 27698, 708, 3426, 6699, 7179, 8697, 651, 827, 492, 294, 2222, 1612, 322, 41413, 466, 546, 305, 18, 824, 3163, 9362, 16, 329, 2665, 478, 10524, 396, 3290, 315, 470, 289, 18347, 2891, 6884, 309, 13965, 32873, 37634, 281, 6409, 40302, 18, 478, 563, 9752, 2828, 4699, 1810, 16, 2588, 656, 10258, 16, 656, 11680, 282, 1360, 835, 2843, 910, 510, 9299, 18720, 405, 18, 20099, 12456, 41724, 478, 34803, 16489, 2665, 470, 16095, 39004, 931, 10050, 16, 374, 1314, 329, 14512, 1003, 5941, 282, 41079, 31416, 18, 478, 682, 2621, 2023, 16, 374, 2303, 30912, 735, 5194, 17011, 3118, 16, 515, 8697, 7696, 910, 510, 2548, 12189, 18, 817, 3893, 16, 374, 6980, 322, 18889, 360, 24562, 39773, 7179, 8697, 18, 478, 8706, 1979, 290, 36661, 31416, 16, 1029, 656, 1314, 45902, 16, 7006, 520, 1623, 8485, 4118, 16, 510, 2548, 12189, 18, 651, 11474, 1223, 16, 481, 9245, 281, 11256, 17, 299, 4372, 6390, 19381, 16, 289, 6591, 31416, 322, 840, 27972, 861, 36432, 1357, 39511, 7179, 8697, 895, 953, 9245, 281, 45810, 13535, 18, 385, 1061, 334, 2123, 3612, 678, 2539, 5820, 282, 31820, 360, 4668, 25, 519, 376, 25, 12762, 16, 282, 10666, 282, 11379, 639, 376, 27, 12762, 18, 740, 294, 19046, 3750, 4275 ]
[ 412, 3847, 29865, 13965, 13535, 519, 3405, 443, 5493, 12762, 4803, 284, 2446, 18, 478, 17394, 343, 6893, 289, 6287, 3612, 898, 21907, 1398, 2912, 13084, 16, 510, 12016, 2337, 5038, 2610, 12318, 15352, 17461, 21666, 289, 6365, 4210, 439, 17333, 2516, 18, 651, 459, 282, 3998, 779, 13412, 21637, 24628, 16, 367, 1038, 30901, 15817, 10744, 277, 290, 45022, 39773, 7179, 8697, 16, 6980, 4893, 3585, 24614, 1966, 20572, 27698, 651, 281, 4652, 6374, 443, 10590, 3763, 519, 3610, 3763, 34184, 282, 8729, 861, 2877, 16, 334, 3163, 439, 607, 8262, 401, 16, 7727, 11189, 23095, 874, 27698, 16, 515, 745, 475, 3066, 3440, 6231, 7113, 18, 39491, 2110, 4982, 39773, 282, 5572, 19936, 1943, 16122, 2364, 2511, 5096, 34184, 16, 502, 912, 4652, 41625, 3763, 7285, 291, 282, 8729, 18, 740, 3868, 2636, 281, 23245, 30275, 282, 5975, 808, 37634, 7179, 8697, 322, 7083, 1909, 16, 2548, 7897, 282, 12893, 18, 478, 17603, 6980, 708, 3426, 305, 6459, 9, 6231, 9305, 37158, 861, 11101, 16, 29381, 294, 33492, 21365, 2381, 478, 37075, 910, 12698, 16, 374, 15634, 31416, 2826, 9245, 281, 867, 16, 374, 282, 3998, 5196, 37634, 898, 4893, 3585, 15697, 18, 478, 672, 3345, 303, 540, 564, 294, 2856, 322, 2397, 5522, 3361, 18, 7743, 282, 970, 16, 374, 2303, 1742, 23144, 16, 4419, 24185, 1545, 478, 46625, 38547, 304, 910, 14782, 491, 16, 24, 5096, 34184, 39773, 7179, 8697, 282, 10841, 289, 491, 16, 25, 5096, 7285, 291, 282, 12500, 16, 510, 41988, 7897, 478, 32485, 18, 8381, 861, 651, 4635, 541, 924, 16, 753, 6863, 309, 870, 15811, 16, 6980, 906, 25791, 13342, 24260, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 15392, 4534, 29865, 1011, 45267, 9078, 309, 1756, 44587, 31749, 21380, 309, 5002, 4811, 26193, 4625, 18, 4988, 27381, 309, 32453, 668, 17238, 454, 16, 9725, 12452, 309, 13519, 11056, 16, 22321, 49649, 39349, 329, 22300, 289, 14971, 18, 5890, 309, 1973, 5183, 7523, 13726, 272, 1163, 1734, 32453, 416, 37070, 16, 19516, 29865, 7146, 722, 687, 309, 17140, 34046, 18, 31224, 30, 9676, 823, 2497, 2891, 29865, 8969, 27720, 20874, 5002, 4811, 26193, 7626, 16, 46002, 1754, 9601, 309, 13519, 11056, 18, 2112, 924, 428, 2904, 14831, 2477, 289, 22300, 46646, 27381, 25988, 2009, 31749, 39979, 21454, 29589, 16, 5878, 2822, 290, 4861, 4568, 17758, 2742, 6705, 3931, 16, 309, 32453, 668, 17238, 454, 16, 19516, 48318, 9078, 12052, 309, 1756, 18, 15822, 356, 29015, 5002, 4811, 26193, 7626, 16, 309, 2588, 282, 803, 1045, 411, 10539, 10059, 5019, 12784, 9469, 3763, 2791, 16, 46646, 2904, 22300, 309, 13519, 11056, 16, 515, 16, 334, 13460, 3761, 16, 9601, 678, 764, 1293, 8560, 2158, 18, 11849, 50111, 42929, 313, 1051, 16, 2301, 411, 1639, 906, 16007, 798, 764, 282, 3998, 25485, 3931, 16, 14451, 4732, 12852, 1855, 32453, 668, 17238, 454, 18, 478, 780, 2188, 448, 8044, 784, 5780, 16, 374, 329, 1129, 309, 4837, 31749, 47971, 3515, 1067, 977, 282, 19818, 43262, 749, 14589, 38772, 4767, 289, 329, 1386, 2829, 2319, 17, 299, 910, 510, 10703, 478, 46088, 18, 8381, 470, 10914, 755, 11758, 4202, 478, 43750, 22813, 470, 12975, 2263, 5565, 18, 17246, 332, 282, 5627, 424, 23114, 46739, 2959, 1312, 5607, 16, 16118, 5854, 2815, 16, 374, 1759, 5183, 345, 11049, 31749, 47971, 16, 4226, 924, 753, 953, 1221, 291, 4068, 541, 13629, 13845, 6394, 16, 428, 30751, 4419, 16, 840, 22102, 848, 8087, 309, 20089, 696, 547, 27989, 18, 478, 563, 2184, 575, 15174, 309, 1657, 6240, 1491, 364, 454, 942, 639, 19296, 649, 2764, 16, 1548, 374, 1177, 6771, 15341, 16, 828, 32453, 16, 289, 294, 2222, 575, 1882, 18, 3557, 1033, 3253, 31749, 47971, 11890, 282, 2181, 4357, 4349, 16, 281, 1420, 1329, 322, 4983, 349, 475, 870, 19606, 18, 9384, 6439, 1335, 5520, 282, 970, 16, 374, 1122, 2178, 538, 424, 6915, 1733, 33418, 910, 510, 2548, 10914, 755, 478, 7306, 890, 21100, 861, 41335, 21454, 29589, 309, 5002, 4811, 26193, 4625, 289, 3754, 639, 3964, 360, 2181, 455, 651, 5383, 3444, 411, 14947, 354, 16, 31931, 289, 22375, 617, 322, 49019, 6920, 7310, 6179, 476, 18, 2046, 411, 17, 431, 1210, 10250, 309, 4625, 22092, 19954, 289, 25029, 1196, 368, 7872, 4202, 334, 1420, 289, 453, 1715, 1494, 906, 6327, 267, 1214, 18, 478, 4441, 27303, 22701, 11116, 16, 6709, 16, 282, 2555, 17, 292, 6206, 16, 4933, 670, 1011, 924, 16, 428, 906, 44978, 34798, 8417, 16, 510, 10662, 2263, 5565, 18, 510, 3575, 6330, 5009, 25068, 3400, 33387, 13360, 31749, 1973, 761, 2923, 16, 515, 1176, 11664, 475, 3066, 18546, 3085, 13910, 3333, 19606, 473, 960, 12765, 2891, 31749, 47971, 39377, 5878, 1525, 290, 19721, 309, 23918, 404, 567, 808, 4861, 1437, 22259, 289, 13082, 5521, 651, 478, 18386, 18, 8381, 11523, 2949, 924, 16, 374, 31749, 47971, 510, 481, 14560, 2403, 38781, 16, 678, 764, 289, 12584, 549, 24355, 3700, 861, 4199, 742, 6677, 15352, 24186, 23298, 4534, 473, 46255, 1615, 25764, 485, 13, 6363, 3782, 267, 3002, 375, 282, 11084, 9848, 30572, 6080, 478, 13261, 470, 1624, 374, 29315, 27245, 35274, 31749, 14779, 2742, 8606, 3931, 1747, 7180, 1007, 473, 1369, 505, 3761, 16, 481, 2364, 2555, 9, 19040, 934, 367, 46002, 23350, 1344, 518, 2223, 16, 961, 11060, 887, 42551, 282, 5953, 443, 5737, 17, 263, 3142, 6705, 3931, 18, 3782, 267, 3002, 375, 9299, 16, 374, 12852, 343, 9716, 32453, 416, 37070, 16, 733, 1102, 1043, 4749, 47431, 16, 906, 1196, 416, 16, 282, 10130, 678, 840, 8356, 798, 25883, 3015, 1941, 31749, 1973, 761, 18, 478, 46255, 1615, 25764, 485, 39205, 309, 46811, 25883, 3015, 1941, 31749, 14779, 18, 17369, 7180, 286, 27720, 20874, 2223, 16, 10242, 910, 510, 5692, 492, 18, 365, 10666, 10526, 282, 478, 275, 5322, 2545, 4096, 470, 2917, 26403, 31749, 14779, 18519, 2615, 46984, 7920, 334, 12128, 30261, 31498, 289, 1403, 14073, 25005, 16934, 2407, 3720, 439, 1484, 512, 18, 4874, 41849, 1502, 11060, 32250, 35632, 20262, 12961, 21947, 21454, 29589, 5002, 4811, 26193, 7626, 18, 478, 5673, 525, 46002, 6377, 324, 541, 4534, 16, 678, 322, 2397, 1329, 7203, 477, 13425, 1116, 38755, 16, 3387, 722, 16511, 4040, 25944, 36803, 16, 6334, 2009, 289, 22101, 16310, 8131, 343, 978, 24600, 2223, 10208, 910, 510, 10050, 282, 3177, 14301, 11309, 18, 817, 5273, 16, 374, 17238, 343, 16, 12852 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 412, 3847, 29865, 13965, 13535, 519, 3405, 443, 5493, 12762, 4803, 284, 2446, 18, 478, 17394, 343, 6893, 289, 6287, 3612, 898, 21907, 1398, 2912, 13084, 16, 510, 12016, 2337, 5038, 2610, 12318, 15352, 17461, 21666, 289, 6365, 4210, 439, 17333, 2516, 18, 651, 459, 282, 3998, 779, 13412, 21637, 24628, 16, 367, 1038, 30901, 15817, 10744, 277, 290, 45022, 39773, 7179, 8697, 16, 6980, 4893, 3585, 24614, 1966, 20572, 27698, 651, 281, 4652, 6374, 443, 10590, 3763, 519, 3610, 3763, 34184, 282, 8729, 861, 2877, 16, 334, 3163, 439, 607, 8262, 401, 16, 7727, 11189, 23095, 874, 27698, 16, 515, 745, 475, 3066, 3440, 6231, 7113, 18, 39491, 2110, 4982, 39773, 282, 5572, 19936, 1943, 16122, 2364, 2511, 5096, 34184, 16, 502, 912, 4652, 41625, 3763, 7285, 291, 282, 8729, 18, 740, 3868, 2636, 281, 23245, 30275, 282, 5975, 808, 37634, 7179, 8697, 322, 7083, 1909, 16, 2548, 7897, 282, 12893, 18, 478, 17603, 6980, 708, 3426, 305, 6459, 9, 6231, 9305, 37158, 861, 11101, 16, 29381, 294, 33492, 21365, 2381, 478, 37075, 910, 12698, 16, 374, 15634, 31416, 2826, 9245, 281, 867, 16, 374, 282, 3998, 5196, 37634, 898, 4893, 3585, 15697, 18, 478, 672, 3345, 303, 540, 564, 294, 2856, 322, 2397, 5522, 3361, 18, 7743, 282, 970, 16, 374, 2303, 1742, 23144, 16, 4419, 24185, 1545, 478, 46625, 38547, 304, 910, 14782, 491, 16, 24, 5096, 34184, 39773, 7179, 8697, 282, 10841, 289, 491, 16, 25, 5096, 7285, 291, 282, 12500, 16, 510, 41988, 7897, 478, 32485, 18, 8381, 861, 651, 4635, 541, 924, 16, 753, 6863, 309, 870, 15811, 16, 6980, 906, 25791, 13342, 24260, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 15392, 4534, 29865, 1011, 45267, 9078, 309, 1756, 44587, 31749, 21380, 309, 5002, 4811, 26193, 4625, 18, 4988, 27381, 309, 32453, 668, 17238, 454, 16, 9725, 12452, 309, 13519, 11056, 16, 22321, 49649, 39349, 329, 22300, 289, 14971, 18, 5890, 309, 1973, 5183, 7523, 13726, 272, 1163, 1734, 32453, 416, 37070, 16, 19516, 29865, 7146, 722, 687, 309, 17140, 34046, 18, 31224, 30, 9676, 823, 2497, 2891, 29865, 8969, 27720, 20874, 5002, 4811, 26193, 7626, 16, 46002, 1754, 9601, 309, 13519, 11056, 18, 2112, 924, 428, 2904, 14831, 2477, 289, 22300, 46646, 27381, 25988, 2009, 31749, 39979, 21454, 29589, 16, 5878, 2822, 290, 4861, 4568, 17758, 2742, 6705, 3931, 16, 309, 32453, 668, 17238, 454, 16, 19516, 48318, 9078, 12052, 309, 1756, 18, 15822, 356, 29015, 5002, 4811, 26193, 7626, 16, 309, 2588, 282, 803, 1045, 411, 10539, 10059, 5019, 12784, 9469, 3763, 2791, 16, 46646, 2904, 22300, 309, 13519, 11056, 16, 515, 16, 334, 13460, 3761, 16, 9601, 678, 764, 1293, 8560, 2158, 18, 11849, 50111, 42929, 313, 1051, 16, 2301, 411, 1639, 906, 16007, 798, 764, 282, 3998, 25485, 3931, 16, 14451, 4732, 12852, 1855, 32453, 668, 17238, 454, 18, 478, 780, 2188, 448, 8044, 784, 5780, 16, 374, 329, 1129, 309, 4837, 31749, 47971, 3515, 1067, 977, 282, 19818, 43262, 749, 14589, 38772, 4767, 289, 329, 1386, 2829, 2319, 17, 299, 910, 510, 10703, 478, 46088, 18, 8381, 470, 10914, 755, 11758, 4202, 478, 43750, 22813, 470, 12975, 2263, 5565, 18, 17246, 332, 282, 5627, 424, 23114, 46739, 2959, 1312, 5607, 16, 16118, 5854, 2815, 16, 374, 1759, 5183, 345, 11049, 31749, 47971, 16, 4226, 924, 753, 953, 1221, 291, 4068, 541, 13629, 13845, 6394, 16, 428, 30751, 4419, 16, 840, 22102, 848, 8087, 309, 20089, 696, 547, 27989, 18, 478, 563, 2184, 575, 15174, 309, 1657, 6240, 1491, 364, 454, 942, 639, 19296, 649, 2764, 16, 1548, 374, 1177, 6771, 15341, 16, 828, 32453, 16, 289, 294, 2222, 575, 1882, 18, 3557, 1033, 3253, 31749, 47971, 11890, 282, 2181, 4357, 4349, 16, 281, 1420, 1329, 322, 4983, 349, 475, 870, 19606, 18, 9384, 6439, 1335, 5520, 282, 970, 16, 374, 1122, 2178, 538, 424, 6915, 1733, 33418, 910, 510, 2548, 10914, 755, 478, 7306, 890, 21100, 861, 41335, 21454, 29589, 309, 5002, 4811, 26193, 4625, 289, 3754, 639, 3964, 360, 2181, 455, 651, 5383, 3444, 411, 14947, 354, 16, 31931, 289, 22375, 617, 322, 49019, 6920, 7310, 6179, 476, 18, 2046, 411, 17, 431, 1210, 10250, 309, 4625, 22092, 19954, 289, 25029, 1196, 368, 7872, 4202, 334, 1420, 289, 453, 1715, 1494, 906, 6327, 267, 1214, 18, 478, 4441, 27303, 22701, 11116, 16, 6709, 16, 282, 2555, 17, 292, 6206, 16, 4933, 670, 1011, 924, 16, 428, 906, 44978, 34798, 8417, 16, 510, 10662, 2263, 5565, 18, 510, 3575, 6330, 5009, 25068, 3400, 33387, 13360, 31749, 1973, 761, 2923, 16, 515, 1176, 11664, 475, 3066, 18546, 3085, 13910, 3333, 19606, 473, 960, 12765, 2891, 31749, 47971, 39377, 5878, 1525, 290, 19721, 309, 23918, 404, 567, 808, 4861, 1437, 22259, 289, 13082, 5521, 651, 478, 18386, 18, 8381, 11523, 2949, 924, 16, 374, 31749, 47971, 510, 481, 14560, 2403, 38781, 16, 678, 764, 289, 12584, 549, 24355, 3700, 861, 4199, 742, 6677, 15352, 24186, 23298, 4534, 473, 46255, 1615, 25764, 485, 13, 6363, 3782, 267, 3002, 375, 282, 11084, 9848, 30572, 6080, 478, 13261, 470, 1624, 374, 29315, 27245, 35274, 31749, 14779, 2742, 8606, 3931, 1747, 7180, 1007, 473, 1369, 505, 3761, 16, 481, 2364, 2555, 9, 19040, 934, 367, 46002, 23350, 1344, 518, 2223, 16, 961, 11060, 887, 42551, 282, 5953, 443, 5737, 17, 263, 3142, 6705, 3931, 18, 3782, 267, 3002, 375, 9299, 16, 374, 12852, 343, 9716, 32453, 416, 37070, 16, 733, 1102, 1043, 4749, 47431, 16, 906, 1196, 416, 16, 282, 10130, 678, 840, 8356, 798, 25883, 3015, 1941, 31749, 1973, 761, 18, 478, 46255, 1615, 25764, 485, 39205, 309, 46811, 25883, 3015, 1941, 31749, 14779, 18, 17369, 7180, 286, 27720, 20874, 2223, 16, 10242, 910, 510, 5692, 492, 18, 365, 10666, 10526, 282, 478, 275, 5322, 2545, 4096, 470, 2917, 26403, 31749, 14779, 18519, 2615, 46984, 7920, 334, 12128, 30261, 31498, 289, 1403, 14073, 25005, 16934, 2407, 3720, 439, 1484, 512, 18, 4874, 41849, 1502, 11060, 32250, 35632, 20262, 12961, 21947, 21454, 29589, 5002, 4811, 26193, 7626, 18, 478, 5673, 525, 46002, 6377, 324, 541, 4534, 16, 678, 322, 2397, 1329, 7203, 477, 13425, 1116, 38755, 16, 3387, 722, 16511, 4040, 25944, 36803, 16, 6334, 2009, 289, 22101, 16310, 8131, 343, 978, 24600, 2223, 10208, 910, 510, 10050, 282, 3177, 14301, 11309, 18, 817, 5273, 16, 374, 17238, 343, 16, 12852 ]
[ 3559, 525, 4226, 31749, 14779, 16, 35595, 5366, 18, 478, 6889, 711, 490, 8861, 309, 5002, 4811, 26193, 20680, 942, 7818, 29423, 1518, 289, 33842, 536, 11237, 27526, 4076, 910, 510, 5692, 492, 18, 439, 1484, 512, 18519, 5452, 274, 5539, 12369, 16, 478, 15890, 16, 785, 289, 334, 4080, 12150, 387, 3975, 390, 937, 31749, 21380, 910, 5848, 12441, 539, 14781, 289, 478, 8108, 812, 1938, 3193, 16, 13754, 4381, 7522, 861, 18678, 536, 4407, 2675, 282, 5017, 2508, 16741, 3225, 14640, 649, 5935, 448, 1810, 18, 824, 3163, 48414, 1321, 478, 32485, 18, 8381, 910, 7852, 47301, 309, 5002, 4811, 26193, 282, 10666, 7760, 16, 309, 2468, 21947, 8926, 1472, 1293, 7898, 16, 322, 3945, 379, 2339, 13836, 14822, 18, 9570, 1011, 25870, 27397, 507, 48126, 1291, 349, 41771, 13473, 1293, 41780, 19536, 5363, 18, 46188, 1924, 16872, 23918, 307, 289, 5112, 10261, 32653, 283, 7737, 11011, 870, 1810, 18, 478, 1358, 906, 1122, 282, 11084, 16, 904, 322, 639, 16, 515, 726, 1314, 4750, 16, 374, 2301, 1335, 1810, 29193, 18, 5890, 942, 27162, 16, 428, 639, 289, 428, 2438, 16, 289, 3670, 16, 4010, 13754, 662, 1122, 10073, 38992, 4892, 18, 1012, 24651, 1569, 726, 1293, 19818, 36355, 9521, 11692, 31749, 14779, 16, 1754, 21798, 13464, 507, 910, 510, 9321, 2263, 5565, 18, 2112, 25870, 11758, 27397, 507, 46739, 4639, 1312, 5607, 3711, 12533, 29653, 3781, 17, 3484, 288, 16, 282, 2114, 19516, 29865, 8969, 31749, 413, 4367, 22701, 21454, 29589, 18, 478, 983, 19044, 4460, 798, 20590, 343, 11553, 31749, 14779, 16, 47086, 22166, 5935, 539, 22701, 16, 9467, 7667, 6584, 15218, 539, 23252, 16, 1011, 1660, 14372, 2110, 31749, 24040, 8781, 840, 2760, 2365, 309, 1756, 910, 510, 5130, 282, 25223, 18, 5043, 16, 1965, 749, 32453, 416, 37070, 5002, 4811, 280, 668, 8406, 322, 49159, 18, 478, 42992, 552, 12646, 16, 25670, 1733, 294, 5002, 4811, 26193, 4625, 16, 1747, 26238, 411, 27094, 3031, 1094, 268, 434, 32453, 434, 31749, 39979, 12423, 910, 510, 6442, 282, 46739, 4639, 18, 12849, 3030, 13629, 282, 46739, 4639, 32039, 478, 404, 446, 5047, 418, 3380, 536, 32117, 26782, 31749, 39979, 19040, 16, 282, 970, 2875, 40826, 304, 520, 1275, 770, 9917, 355, 1033, 828, 309, 3610, 9, 289, 19226, 396, 3375, 761, 10317, 861, 478, 1140, 46359, 16, 374, 31749, 413, 4367, 22701, 1623, 47111, 6906, 21840, 10026, 16, 4514, 7392, 1810, 1747, 31805, 424, 44081, 7987, 17, 441, 6755, 13405, 910, 510, 34259, 282, 46739, 4639, 18, 37188, 16008, 15160, 3700, 23918, 465, 10261, 32653, 283, 26851, 478, 46088, 18, 8381, 910, 374, 1011, 14381, 904, 31749, 47971, 840, 2760, 8991, 309, 1756, 18, 478, 677, 46739, 4639, 1800, 5413, 784, 7299, 16, 374, 840, 8753, 286, 6635, 798, 313, 16, 33570, 343, 16, 367, 12052, 1747, 518, 575, 4289, 16, 294, 3279, 656, 17573, 16, 502, 912, 2717, 3384, 31749, 47971, 8633, 309, 3177, 2468, 16, 510, 8977, 678, 18, 510, 12027, 924, 16, 785, 722, 1747, 17666, 16, 541, 924, 753, 25360, 2651, 33570, 454, 16, 722, 322, 1747, 10387, 329, 1386, 649, 16, 678, 840, 20738, 15552, 2037, 16, 753, 475, 29098, 447, 6418, 16, 374, 10387, 722, 322, 42807, 289, 322, 39885, 18, 5890, 35813, 4934, 31749, 21380, 8418, 487, 2158, 16, 289, 1215, 1543, 17238, 343, 16, 1586, 906, 726, 1713, 798, 7969, 16, 722, 4732, 5183, 9587, 16, 567, 12241, 5183, 7523, 2518, 847, 18, 2787, 912, 7969, 17238, 343, 16, 719, 29845, 1162, 16, 840, 687, 309, 17140, 34046, 861, 2, 1, 87, 1456, 81, 2448, 30, 47387, 417, 322, 12319, 266, 16422, 16, 10899, 16, 374, 9824, 35586, 289, 34686, 899, 3214, 13363, 23819, 1061, 18, 12622, 16, 417, 322, 16173, 282, 8995, 289, 2060, 16, 374, 2174, 16422, 2141, 289, 23819, 282, 4810, 18, 6682, 924, 16, 417, 685, 26059, 32121, 4183, 17155, 15921, 18, 1990, 1719, 4935, 5772, 11202, 17155, 293, 599, 347, 16, 367, 5590, 19256, 23819, 1032, 55, 18, 31224, 30, 23241, 16, 12566, 289, 11075, 18, 39019, 309, 2218, 322, 8903, 897, 9627, 2193, 322, 20951, 2697, 16, 1500, 575, 1904, 2782, 15424, 6428, 293, 45884, 10122, 18, 39371, 2636, 25342, 322, 411, 12736, 16, 367, 411, 38381, 35, 981, 16, 481, 453, 16, 515, 481, 2141, 2616, 17, 299, 15423, 35, 832, 2060, 18, 439, 1215, 502, 16, 374, 23819, 1061, 1559, 309, 430, 16, 27, 6322, 502, 3211, 16, 828, 23819, 1032, 55, 510, 481, 9478, 473, 1124, 1144, 315, 4445, 329, 23276, 1032, 55, 16, 3221, 1737, 814, 985, 289, 502, 16, 374, 492, 39585, 309, 1488, 16, 26, 6322, 289, 8030, 309, 4039, 336, 334, 7413, 23819, 1032, 55, 18, 889, 475, 5644, 3935, 1833, 16, 428, 687, 2108, 638, 3655, 11341, 282, 2038, 18, 48878, 16, 374, 15634, 13098, 510, 309, 3417, 9, 25891, 3003, 473, 5486, 4805, 477, 2924, 322, 2618, 7585, 814, 3397, 16, 785, 37691, 475, 1143, 289, 1143, 8425, 428, 11260, 541, 8421, 282, 4772, 16, 14578, 816, 16, 25, 21656, 429, 37781, 428, 4726, 16148, 451, 18, 2787, 16, 374, 23819, 1061, 1559, 8030, 289, 502, 3211, 16, 5112, 703, 13319, 576, 18, 11324, 12226, 649, 519, 924, 6175, 16, 785, 23819, 942, 840, 4745, 15927, 282, 43198, 451, 7711, 28072, 18, 1483, 478, 41307, 668, 470, 6278, 454, 7695, 322, 3478, 16, 1548, 428, 322, 12189, 18, 38625, 687, 16, 374, 3692, 322, 15015, 364, 537, 309, 2059, 2043, 390, 18, 5871, 665, 2302, 14499, 2156, 16, 13000, 939, 2156, 16, 5626, 24838, 1323, 32000, 18, 1397, 764, 1513, 35, 5223, 616, 21275, 289, 2490, 1270, 16, 41356, 33245, 6228, 16, 1373, 1320, 26279, 1003, 18, 9993, 16, 27341, 282, 9878, 7911, 15753, 461, 263, 16, 784, 7040, 16, 1139, 28610, 16, 309, 8732, 27964, 1212, 13400, 49221, 473, 404, 8188, 16, 6595, 13, 510, 9478, 5992, 18, 365, 4784, 16, 45247, 16, 3684, 16, 2950, 1085, 840, 9416, 1390, 18, 439, 1215, 1441, 396, 2218, 15433, 16, 515, 12625, 451, 3952, 6226, 4090, 23819, 18, 5227, 322, 475, 453, 6317, 28765, 18, 415, 1594, 1855, 1992, 35623, 23819, 1061, 417, 322, 3478, 16, 2396, 12485, 309, 2401, 447, 1751, 360, 23819, 1032, 55, 289, 1634, 17044, 18058, 292, 18, 999, 502, 16, 374, 6547, 1033, 36144, 22068, 1066, 10249, 289, 15797, 281, 44032, 473, 7229, 12018, 1666, 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 ]
[ 3559, 525, 4226, 31749, 14779, 16, 35595, 5366, 18, 478, 6889, 711, 490, 8861, 309, 5002, 4811, 26193, 20680, 942, 7818, 29423, 1518, 289, 33842, 536, 11237, 27526, 4076, 910, 510, 5692, 492, 18, 439, 1484, 512, 18519, 5452, 274, 5539, 12369, 16, 478, 15890, 16, 785, 289, 334, 4080, 12150, 387, 3975, 390, 937, 31749, 21380, 910, 5848, 12441, 539, 14781, 289, 478, 8108, 812, 1938, 3193, 16, 13754, 4381, 7522, 861, 18678, 536, 4407, 2675, 282, 5017, 2508, 16741, 3225, 14640, 649, 5935, 448, 1810, 18, 824, 3163, 48414, 1321, 478, 32485, 18, 8381, 910, 7852, 47301, 309, 5002, 4811, 26193, 282, 10666, 7760, 16, 309, 2468, 21947, 8926, 1472, 1293, 7898, 16, 322, 3945, 379, 2339, 13836, 14822, 18, 9570, 1011, 25870, 27397, 507, 48126, 1291, 349, 41771, 13473, 1293, 41780, 19536, 5363, 18, 46188, 1924, 16872, 23918, 307, 289, 5112, 10261, 32653, 283, 7737, 11011, 870, 1810, 18, 478, 1358, 906, 1122, 282, 11084, 16, 904, 322, 639, 16, 515, 726, 1314, 4750, 16, 374, 2301, 1335, 1810, 29193, 18, 5890, 942, 27162, 16, 428, 639, 289, 428, 2438, 16, 289, 3670, 16, 4010, 13754, 662, 1122, 10073, 38992, 4892, 18, 1012, 24651, 1569, 726, 1293, 19818, 36355, 9521, 11692, 31749, 14779, 16, 1754, 21798, 13464, 507, 910, 510, 9321, 2263, 5565, 18, 2112, 25870, 11758, 27397, 507, 46739, 4639, 1312, 5607, 3711, 12533, 29653, 3781, 17, 3484, 288, 16, 282, 2114, 19516, 29865, 8969, 31749, 413, 4367, 22701, 21454, 29589, 18, 478, 983, 19044, 4460, 798, 20590, 343, 11553, 31749, 14779, 16, 47086, 22166, 5935, 539, 22701, 16, 9467, 7667, 6584, 15218, 539, 23252, 16, 1011, 1660, 14372, 2110, 31749, 24040, 8781, 840, 2760, 2365, 309, 1756, 910, 510, 5130, 282, 25223, 18, 5043, 16, 1965, 749, 32453, 416, 37070, 5002, 4811, 280, 668, 8406, 322, 49159, 18, 478, 42992, 552, 12646, 16, 25670, 1733, 294, 5002, 4811, 26193, 4625, 16, 1747, 26238, 411, 27094, 3031, 1094, 268, 434, 32453, 434, 31749, 39979, 12423, 910, 510, 6442, 282, 46739, 4639, 18, 12849, 3030, 13629, 282, 46739, 4639, 32039, 478, 404, 446, 5047, 418, 3380, 536, 32117, 26782, 31749, 39979, 19040, 16, 282, 970, 2875, 40826, 304, 520, 1275, 770, 9917, 355, 1033, 828, 309, 3610, 9, 289, 19226, 396, 3375, 761, 10317, 861, 478, 1140, 46359, 16, 374, 31749, 413, 4367, 22701, 1623, 47111, 6906, 21840, 10026, 16, 4514, 7392, 1810, 1747, 31805, 424, 44081, 7987, 17, 441, 6755, 13405, 910, 510, 34259, 282, 46739, 4639, 18, 37188, 16008, 15160, 3700, 23918, 465, 10261, 32653, 283, 26851, 478, 46088, 18, 8381, 910, 374, 1011, 14381, 904, 31749, 47971, 840, 2760, 8991, 309, 1756, 18, 478, 677, 46739, 4639, 1800, 5413, 784, 7299, 16, 374, 840, 8753, 286, 6635, 798, 313, 16, 33570, 343, 16, 367, 12052, 1747, 518, 575, 4289, 16, 294, 3279, 656, 17573, 16, 502, 912, 2717, 3384, 31749, 47971, 8633, 309, 3177, 2468, 16, 510, 8977, 678, 18, 510, 12027, 924, 16, 785, 722, 1747, 17666, 16, 541, 924, 753, 25360, 2651, 33570, 454, 16, 722, 322, 1747, 10387, 329, 1386, 649, 16, 678, 840, 20738, 15552, 2037, 16, 753, 475, 29098, 447, 6418, 16, 374, 10387, 722, 322, 42807, 289, 322, 39885, 18, 5890, 35813, 4934, 31749, 21380, 8418, 487, 2158, 16, 289, 1215, 1543, 17238, 343, 16, 1586, 906, 726, 1713, 798, 7969, 16, 722, 4732, 5183, 9587, 16, 567, 12241, 5183, 7523, 2518, 847, 18, 2787, 912, 7969, 17238, 343, 16, 719, 29845, 1162, 16, 840, 687, 309, 17140, 34046, 861, 2, 1, 87, 1456, 81, 2448, 30, 47387, 417, 322, 12319, 266, 16422, 16, 10899, 16, 374, 9824, 35586, 289, 34686, 899, 3214, 13363, 23819, 1061, 18, 12622, 16, 417, 322, 16173, 282, 8995, 289, 2060, 16, 374, 2174, 16422, 2141, 289, 23819, 282, 4810, 18, 6682, 924, 16, 417, 685, 26059, 32121, 4183, 17155, 15921, 18, 1990, 1719, 4935, 5772, 11202, 17155, 293, 599, 347, 16, 367, 5590, 19256, 23819, 1032, 55, 18, 31224, 30, 23241, 16, 12566, 289, 11075, 18, 39019, 309, 2218, 322, 8903, 897, 9627, 2193, 322, 20951, 2697, 16, 1500, 575, 1904, 2782, 15424, 6428, 293, 45884, 10122, 18, 39371, 2636, 25342, 322, 411, 12736, 16, 367, 411, 38381, 35, 981, 16, 481, 453, 16, 515, 481, 2141, 2616, 17, 299, 15423, 35, 832, 2060, 18, 439, 1215, 502, 16, 374, 23819, 1061, 1559, 309, 430, 16, 27, 6322, 502, 3211, 16, 828, 23819, 1032, 55, 510, 481, 9478, 473, 1124, 1144, 315, 4445, 329, 23276, 1032, 55, 16, 3221, 1737, 814, 985, 289, 502, 16, 374, 492, 39585, 309, 1488, 16, 26, 6322, 289, 8030, 309, 4039, 336, 334, 7413, 23819, 1032, 55, 18, 889, 475, 5644, 3935, 1833, 16, 428, 687, 2108, 638, 3655, 11341, 282, 2038, 18, 48878, 16, 374, 15634, 13098, 510, 309, 3417, 9, 25891, 3003, 473, 5486, 4805, 477, 2924, 322, 2618, 7585, 814, 3397, 16, 785, 37691, 475, 1143, 289, 1143, 8425, 428, 11260, 541, 8421, 282, 4772, 16, 14578, 816, 16, 25, 21656, 429, 37781, 428, 4726, 16148, 451, 18, 2787, 16, 374, 23819, 1061, 1559, 8030, 289, 502, 3211, 16, 5112, 703, 13319, 576, 18, 11324, 12226, 649, 519, 924, 6175, 16, 785, 23819, 942, 840, 4745, 15927, 282, 43198, 451, 7711, 28072, 18, 1483, 478, 41307, 668, 470, 6278, 454, 7695, 322, 3478, 16, 1548, 428, 322, 12189, 18, 38625, 687, 16, 374, 3692, 322, 15015, 364, 537, 309, 2059, 2043, 390, 18, 5871, 665, 2302, 14499, 2156, 16, 13000, 939, 2156, 16, 5626, 24838, 1323, 32000, 18, 1397, 764, 1513, 35, 5223, 616, 21275, 289, 2490, 1270, 16, 41356, 33245, 6228, 16, 1373, 1320, 26279, 1003, 18, 9993, 16, 27341, 282, 9878, 7911, 15753, 461, 263, 16, 784, 7040, 16, 1139, 28610, 16, 309, 8732, 27964, 1212, 13400, 49221, 473, 404, 8188, 16, 6595, 13, 510, 9478, 5992, 18, 365, 4784, 16, 45247, 16, 3684, 16, 2950, 1085, 840, 9416, 1390, 18, 439, 1215, 1441, 396, 2218, 15433, 16, 515, 12625, 451, 3952, 6226, 4090, 23819, 18, 5227, 322, 475, 453, 6317, 28765, 18, 415, 1594, 1855, 1992, 35623, 23819, 1061, 417, 322, 3478, 16, 2396, 12485, 309, 2401, 447, 1751, 360, 23819, 1032, 55, 289, 1634, 17044, 18058, 292, 18, 999, 502, 16, 374, 6547, 1033, 36144, 22068, 1066, 10249, 289, 15797, 281, 44032, 473, 7229, 12018, 1666, 16 ]
[ 4905, 16, 5878, 542, 289, 438, 3406, 510, 3429, 623, 16422, 11382, 16, 367, 1215, 349, 3531, 8822, 510, 11830, 451, 20266, 18, 34747, 309, 48315, 25574, 6582, 282, 3507, 16, 11222, 282, 11074, 292, 17421, 510, 481, 16, 2091, 16, 478, 599, 47989, 22968, 271, 861, 3747, 289, 1336, 322, 475, 453, 19610, 16, 428, 3073, 17960, 16, 16675, 448, 38722, 16, 334, 5833, 3538, 334, 3507, 16, 21173, 5808, 9043, 2911, 16, 367, 541, 33609, 309, 21031, 417, 2098, 2137, 282, 11810, 2109, 2015, 289, 23251, 30581, 13802, 2389, 18, 10082, 8270, 2959, 541, 703, 334, 17, 6093, 3358, 3340, 354, 16, 374, 322, 12732, 16, 26674, 22150, 8824, 23787, 18, 832, 2447, 322, 8097, 939, 42140, 6519, 784, 14277, 448, 29287, 1302, 559, 52, 1638, 87, 18, 629, 8602, 4586, 400, 3064, 697, 282, 4095, 10407, 2244, 651, 50016, 473, 33909, 48096, 2084, 6445, 77, 934, 10700, 473, 55, 17512, 19714, 11556, 934, 7802, 473, 3680, 74, 13014, 860, 14320, 41931, 814, 18396, 448, 33041, 35016, 18, 17500, 11164, 323, 16654, 289, 12023, 18, 8859, 952, 1909, 295, 15599, 685, 8543, 928, 18, 3923, 16, 745, 16017, 467, 7175, 1802, 80, 30309, 1200, 7368, 18844, 715, 24, 16, 282, 4698, 3678, 282, 21754, 1037, 763, 31735, 42225, 16, 515, 329, 1802, 80, 30309, 1200, 289, 7072, 322, 2555, 8, 473, 431, 4443, 16, 417, 6388, 16, 1302, 559, 52, 1638, 87, 1747, 17899, 12355, 360, 23819, 814, 439, 4708, 34713, 320, 282, 23819, 1061, 18, 9114, 986, 2158, 2139, 320, 282, 44032, 685, 1139, 12916, 16, 367, 1215, 1314, 329, 3725, 32791, 39230, 23753, 3040, 7392, 2139, 1952, 2458, 45389, 968, 16, 417, 2184, 11616, 6874, 37177, 18, 14654, 3419, 322, 290, 3106, 17276, 16, 281, 1498, 282, 23819, 1061, 475, 27243, 16, 417, 5755, 381, 3393, 1207, 18, 5223, 1909, 295, 15599, 322, 22333, 6779, 289, 1461, 412, 356, 530, 451, 16, 7288, 3822, 696, 778, 8668, 6589, 25617, 1149, 22479, 39, 322, 49786, 16, 4265, 14500, 17297, 282, 727, 40484, 47634, 2654, 411, 2139, 665, 4385, 18, 9736, 553, 381, 43343, 292, 1003, 473, 925, 417, 322, 6089, 13, 289, 311, 18, 280, 18, 2877, 2218, 15433, 6127, 18, 1303, 16, 374, 7199, 16422, 591, 8459, 23819, 651, 678, 7199, 4927, 473, 32423, 14952, 13, 651, 2845, 24442, 28009, 1882, 16, 828, 1032, 55, 18, 740, 1215, 1967, 3322, 9713, 16, 4813, 309, 478, 18663, 5862, 470, 3655, 4162, 16, 475, 575, 1461, 14252, 18, 629, 9281, 19831, 18, 1415, 1369, 2869, 591, 6907, 339, 39004, 304, 21524, 440, 506, 591, 6907, 339, 39004, 304, 824, 2133, 1423, 18001, 23819, 1061, 38058, 16259, 16197, 13356, 1183, 1043, 38058, 1895, 342, 431, 8255, 262, 16, 24679, 17, 348, 389, 6318, 1887, 478, 32485, 18, 8381, 470, 9859, 10936, 1209, 6367, 33245, 2, 1, 87, 1456, 81, 2448, 30, 677, 3187, 2234, 5549, 30264, 27902, 289, 1966, 638, 18, 403, 4127, 1757, 2019, 536, 34049, 281, 19097, 309, 1003, 16, 367, 12412, 10585, 484, 519, 4668, 3161, 5448, 385, 18, 365, 3998, 36724, 5576, 424, 17566, 3806, 11972, 15969, 3545, 16, 2628, 16, 2597, 298, 484, 289, 519, 4668, 7536, 5448, 385, 16, 21535, 451, 4328, 6245, 17471, 33884, 309, 1409, 443, 28, 12762, 18, 415, 3375, 382, 16, 3754, 322, 2388, 15170, 16, 34524, 687, 1248, 5284, 18, 31224, 30, 677, 7933, 3793, 16741, 17395, 282, 3507, 289, 10143, 1767, 5471, 19976, 18, 11662, 448, 17441, 448, 34049, 16, 12901, 488, 2508, 282, 8151, 5576, 16, 3210, 16, 3227, 40363, 16, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 824, 3761, 44157, 13405, 16, 687, 349, 9937, 289, 3765, 3303, 486, 282, 3507, 46820, 8560, 549, 9427, 30880, 510, 1760, 6322, 16, 334, 1767, 2706, 6322, 473, 275, 3650, 1966, 18382, 16837, 42243, 282, 11147, 16, 2687, 1815, 3695, 6322, 16, 6245, 1235, 322, 685, 814, 365, 10882, 4004, 24628, 20951, 30, 11511, 2010, 3287, 16, 6017, 20085, 6000, 18, 459, 1830, 5426, 840, 764, 14096, 315, 16, 4668, 3572, 655, 15, 4234, 5448, 385, 16, 7760, 3545, 282, 11147, 2597, 298, 484, 519, 4668, 5759, 655, 15, 5493, 5448, 385, 18, 365, 16741, 12412, 32033, 6330, 2961, 17789, 16, 17395, 4040, 18054, 289, 9382, 24261, 18, 365, 3765, 309, 11877, 44157, 1340, 18604, 4364, 4668, 2783, 655, 15, 3940, 5448, 385, 16, 367, 282, 8785, 448, 7258, 282, 3507, 289, 10143, 1767, 34691, 426, 305, 519, 4668, 6475, 655, 15, 6862, 5448, 385, 18, 365, 16741, 282, 18168, 14828, 2555, 17, 844, 42224, 549, 27902, 16, 35471, 289, 515, 3412, 12412, 18, 10655, 4133, 2549, 539, 11440, 41621, 14471, 282, 1409, 9247, 443, 27, 8725, 6322, 941, 266, 18, 422, 18, 608, 4412, 840, 1771, 319, 23696, 9839, 17, 12212, 2234, 6978, 16, 7872, 505, 322, 6245, 17471, 430, 443, 26, 4995, 282, 8427, 18, 640, 13420, 11056, 7957, 309, 22961, 282, 3187, 4267, 9804, 840, 22562, 9996, 17853, 3806, 11972, 2221, 16, 2983, 16786, 1195, 3700, 353, 48584, 1042, 289, 31789, 42466, 18, 824, 505, 41827, 950, 16, 988, 12146, 5343, 16, 281, 22350, 758, 6469, 1134, 6925, 9496, 12625, 549, 15142, 13780, 411, 36182, 48584, 1042, 18, 365, 11147, 289, 334, 1767, 4040, 1965, 22810, 18, 32604, 1861, 451, 4328, 6245, 17471, 14077, 15238, 33884, 4056, 11678, 4160, 309, 1409, 443, 28, 12762, 18, 365, 10666, 16, 12241, 289, 9937, 282, 3507, 16, 5938, 47270, 44157, 13405, 16, 7760, 840, 4668, 6862, 655, 15, 7536, 5448, 385, 18, 365, 34905, 7258, 19988, 4668, 3114, 655, 15, 2932, 5448, 385, 18, 27533, 16, 29865, 8876, 16, 3857, 840, 46966, 18, 17369, 1771, 319, 14612, 7395, 2234, 289, 9839, 17, 12212, 2234, 4690, 291, 46380, 6978, 477, 12494, 491, 443, 27, 4995, 282, 8427, 18, 1591, 2992, 11053, 13420, 5576, 21535, 451, 4328, 14145, 12998, 11120, 30, 481, 14864, 411, 17, 431, 30147, 2198, 22511, 9996, 22292, 3806, 11972, 15969, 18, 27432, 281, 3303, 486, 14394, 42243, 282, 11147, 289, 30383, 10896, 305, 16, 367, 12412, 7636, 847, 309, 9891, 267, 17, 31530, 18, 25740, 282, 11946, 289, 10882, 19988, 2364, 4668, 6462, 655, 15, 8976, 5448, 385, 18, 27247, 4040, 309, 4038, 12762, 14096, 968, 16, 828, 282, 3998, 5576, 18, 5454, 16, 2597, 628, 530, 5564, 276, 18, 365, 8651, 16741, 282, 3507, 289, 10143, 1767 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4905, 16, 5878, 542, 289, 438, 3406, 510, 3429, 623, 16422, 11382, 16, 367, 1215, 349, 3531, 8822, 510, 11830, 451, 20266, 18, 34747, 309, 48315, 25574, 6582, 282, 3507, 16, 11222, 282, 11074, 292, 17421, 510, 481, 16, 2091, 16, 478, 599, 47989, 22968, 271, 861, 3747, 289, 1336, 322, 475, 453, 19610, 16, 428, 3073, 17960, 16, 16675, 448, 38722, 16, 334, 5833, 3538, 334, 3507, 16, 21173, 5808, 9043, 2911, 16, 367, 541, 33609, 309, 21031, 417, 2098, 2137, 282, 11810, 2109, 2015, 289, 23251, 30581, 13802, 2389, 18, 10082, 8270, 2959, 541, 703, 334, 17, 6093, 3358, 3340, 354, 16, 374, 322, 12732, 16, 26674, 22150, 8824, 23787, 18, 832, 2447, 322, 8097, 939, 42140, 6519, 784, 14277, 448, 29287, 1302, 559, 52, 1638, 87, 18, 629, 8602, 4586, 400, 3064, 697, 282, 4095, 10407, 2244, 651, 50016, 473, 33909, 48096, 2084, 6445, 77, 934, 10700, 473, 55, 17512, 19714, 11556, 934, 7802, 473, 3680, 74, 13014, 860, 14320, 41931, 814, 18396, 448, 33041, 35016, 18, 17500, 11164, 323, 16654, 289, 12023, 18, 8859, 952, 1909, 295, 15599, 685, 8543, 928, 18, 3923, 16, 745, 16017, 467, 7175, 1802, 80, 30309, 1200, 7368, 18844, 715, 24, 16, 282, 4698, 3678, 282, 21754, 1037, 763, 31735, 42225, 16, 515, 329, 1802, 80, 30309, 1200, 289, 7072, 322, 2555, 8, 473, 431, 4443, 16, 417, 6388, 16, 1302, 559, 52, 1638, 87, 1747, 17899, 12355, 360, 23819, 814, 439, 4708, 34713, 320, 282, 23819, 1061, 18, 9114, 986, 2158, 2139, 320, 282, 44032, 685, 1139, 12916, 16, 367, 1215, 1314, 329, 3725, 32791, 39230, 23753, 3040, 7392, 2139, 1952, 2458, 45389, 968, 16, 417, 2184, 11616, 6874, 37177, 18, 14654, 3419, 322, 290, 3106, 17276, 16, 281, 1498, 282, 23819, 1061, 475, 27243, 16, 417, 5755, 381, 3393, 1207, 18, 5223, 1909, 295, 15599, 322, 22333, 6779, 289, 1461, 412, 356, 530, 451, 16, 7288, 3822, 696, 778, 8668, 6589, 25617, 1149, 22479, 39, 322, 49786, 16, 4265, 14500, 17297, 282, 727, 40484, 47634, 2654, 411, 2139, 665, 4385, 18, 9736, 553, 381, 43343, 292, 1003, 473, 925, 417, 322, 6089, 13, 289, 311, 18, 280, 18, 2877, 2218, 15433, 6127, 18, 1303, 16, 374, 7199, 16422, 591, 8459, 23819, 651, 678, 7199, 4927, 473, 32423, 14952, 13, 651, 2845, 24442, 28009, 1882, 16, 828, 1032, 55, 18, 740, 1215, 1967, 3322, 9713, 16, 4813, 309, 478, 18663, 5862, 470, 3655, 4162, 16, 475, 575, 1461, 14252, 18, 629, 9281, 19831, 18, 1415, 1369, 2869, 591, 6907, 339, 39004, 304, 21524, 440, 506, 591, 6907, 339, 39004, 304, 824, 2133, 1423, 18001, 23819, 1061, 38058, 16259, 16197, 13356, 1183, 1043, 38058, 1895, 342, 431, 8255, 262, 16, 24679, 17, 348, 389, 6318, 1887, 478, 32485, 18, 8381, 470, 9859, 10936, 1209, 6367, 33245, 2, 1, 87, 1456, 81, 2448, 30, 677, 3187, 2234, 5549, 30264, 27902, 289, 1966, 638, 18, 403, 4127, 1757, 2019, 536, 34049, 281, 19097, 309, 1003, 16, 367, 12412, 10585, 484, 519, 4668, 3161, 5448, 385, 18, 365, 3998, 36724, 5576, 424, 17566, 3806, 11972, 15969, 3545, 16, 2628, 16, 2597, 298, 484, 289, 519, 4668, 7536, 5448, 385, 16, 21535, 451, 4328, 6245, 17471, 33884, 309, 1409, 443, 28, 12762, 18, 415, 3375, 382, 16, 3754, 322, 2388, 15170, 16, 34524, 687, 1248, 5284, 18, 31224, 30, 677, 7933, 3793, 16741, 17395, 282, 3507, 289, 10143, 1767, 5471, 19976, 18, 11662, 448, 17441, 448, 34049, 16, 12901, 488, 2508, 282, 8151, 5576, 16, 3210, 16, 3227, 40363, 16, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 824, 3761, 44157, 13405, 16, 687, 349, 9937, 289, 3765, 3303, 486, 282, 3507, 46820, 8560, 549, 9427, 30880, 510, 1760, 6322, 16, 334, 1767, 2706, 6322, 473, 275, 3650, 1966, 18382, 16837, 42243, 282, 11147, 16, 2687, 1815, 3695, 6322, 16, 6245, 1235, 322, 685, 814, 365, 10882, 4004, 24628, 20951, 30, 11511, 2010, 3287, 16, 6017, 20085, 6000, 18, 459, 1830, 5426, 840, 764, 14096, 315, 16, 4668, 3572, 655, 15, 4234, 5448, 385, 16, 7760, 3545, 282, 11147, 2597, 298, 484, 519, 4668, 5759, 655, 15, 5493, 5448, 385, 18, 365, 16741, 12412, 32033, 6330, 2961, 17789, 16, 17395, 4040, 18054, 289, 9382, 24261, 18, 365, 3765, 309, 11877, 44157, 1340, 18604, 4364, 4668, 2783, 655, 15, 3940, 5448, 385, 16, 367, 282, 8785, 448, 7258, 282, 3507, 289, 10143, 1767, 34691, 426, 305, 519, 4668, 6475, 655, 15, 6862, 5448, 385, 18, 365, 16741, 282, 18168, 14828, 2555, 17, 844, 42224, 549, 27902, 16, 35471, 289, 515, 3412, 12412, 18, 10655, 4133, 2549, 539, 11440, 41621, 14471, 282, 1409, 9247, 443, 27, 8725, 6322, 941, 266, 18, 422, 18, 608, 4412, 840, 1771, 319, 23696, 9839, 17, 12212, 2234, 6978, 16, 7872, 505, 322, 6245, 17471, 430, 443, 26, 4995, 282, 8427, 18, 640, 13420, 11056, 7957, 309, 22961, 282, 3187, 4267, 9804, 840, 22562, 9996, 17853, 3806, 11972, 2221, 16, 2983, 16786, 1195, 3700, 353, 48584, 1042, 289, 31789, 42466, 18, 824, 505, 41827, 950, 16, 988, 12146, 5343, 16, 281, 22350, 758, 6469, 1134, 6925, 9496, 12625, 549, 15142, 13780, 411, 36182, 48584, 1042, 18, 365, 11147, 289, 334, 1767, 4040, 1965, 22810, 18, 32604, 1861, 451, 4328, 6245, 17471, 14077, 15238, 33884, 4056, 11678, 4160, 309, 1409, 443, 28, 12762, 18, 365, 10666, 16, 12241, 289, 9937, 282, 3507, 16, 5938, 47270, 44157, 13405, 16, 7760, 840, 4668, 6862, 655, 15, 7536, 5448, 385, 18, 365, 34905, 7258, 19988, 4668, 3114, 655, 15, 2932, 5448, 385, 18, 27533, 16, 29865, 8876, 16, 3857, 840, 46966, 18, 17369, 1771, 319, 14612, 7395, 2234, 289, 9839, 17, 12212, 2234, 4690, 291, 46380, 6978, 477, 12494, 491, 443, 27, 4995, 282, 8427, 18, 1591, 2992, 11053, 13420, 5576, 21535, 451, 4328, 14145, 12998, 11120, 30, 481, 14864, 411, 17, 431, 30147, 2198, 22511, 9996, 22292, 3806, 11972, 15969, 18, 27432, 281, 3303, 486, 14394, 42243, 282, 11147, 289, 30383, 10896, 305, 16, 367, 12412, 7636, 847, 309, 9891, 267, 17, 31530, 18, 25740, 282, 11946, 289, 10882, 19988, 2364, 4668, 6462, 655, 15, 8976, 5448, 385, 18, 27247, 4040, 309, 4038, 12762, 14096, 968, 16, 828, 282, 3998, 5576, 18, 5454, 16, 2597, 628, 530, 5564, 276, 18, 365, 8651, 16741, 282, 3507, 289, 10143, 1767 ]
[ 3085, 9496, 4652, 3433, 575, 17395, 30, 7760, 840, 2364, 4668, 6862, 5448, 385, 16, 5426, 4668, 3940, 655, 15, 3420, 5448, 385, 18, 832, 5285, 4633, 14734, 382, 18, 10655, 4133, 2549, 539, 11440, 282, 3178, 5576, 3085, 9496, 309, 23691, 2581, 582, 282, 1409, 9247, 443, 27, 8725, 6322, 941, 266, 18, 422, 18, 12092, 294, 2019, 536, 16, 281, 10695, 3021, 12724, 3806, 11972, 15969, 16, 11440, 40276, 519, 1409, 6427, 443, 27, 9348, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 21126, 411, 7878, 23326, 3690, 8606, 3931, 16, 1570, 566, 1510, 309, 13573, 7459, 292, 2422, 16, 17659, 451, 36334, 29642, 289, 20556, 16063, 478, 404, 1386, 1431, 335, 13097, 470, 510, 2123, 3990, 2417, 5432, 6459, 986, 477, 2299, 6067, 16396, 36921, 1665, 2659, 342, 18, 31224, 30, 6039, 16, 349, 374, 1933, 706, 1665, 45948, 16, 492, 8164, 30267, 16, 12341, 12791, 289, 11709, 510, 15023, 300, 16, 3942, 16, 8617, 18, 817, 1559, 33531, 23818, 19017, 718, 10137, 16, 367, 971, 6841, 905, 1514, 289, 322, 5264, 1011, 20072, 27521, 13789, 282, 3875, 18, 478, 672, 394, 35754, 282, 10866, 470, 5568, 1665, 298, 14457, 32542, 20287, 289, 6844, 541, 23326, 1891, 10544, 15447, 18, 42986, 21130, 30, 16396, 13426, 1665, 45948, 16, 7362, 2750, 2101, 3340, 16, 4210, 20990, 375, 16, 16852, 1012, 7371, 401, 282, 39234, 478, 18854, 9930, 25432, 861, 13734, 16, 3703, 4209, 19277, 1205, 1665, 45948, 6181, 309, 1405, 282, 2273, 4032, 6005, 1212, 30498, 309, 7786, 913, 16473, 328, 510, 385, 5400, 31655, 18, 478, 43658, 3476, 17591, 282, 4006, 547, 3726, 1555, 3580, 20035, 18, 1345, 49890, 18, 10129, 8542, 282, 6197, 2008, 10862, 2364, 608, 5619, 16, 10208, 8193, 36970, 950, 18, 5333, 2175, 16, 281, 12899, 4546, 5571, 1244, 465, 510, 481, 43574, 289, 48119, 394, 723, 1358, 322, 2447, 2820, 8659, 16, 374, 2862, 541, 703, 953, 1543, 11319, 547, 16, 367, 322, 16625, 16, 515, 417, 282, 1190, 5644, 15382, 2089, 29947, 18, 11780, 16131, 1162, 5913, 31521, 428, 17, 299, 6847, 289, 9013, 44677, 293, 1380, 1494, 910, 510, 6443, 1665, 45948, 282, 478, 11636, 2905, 265, 5006, 861, 11040, 662, 9190, 38639, 5683, 282, 47501, 18, 510, 11334, 20508, 4110, 411, 4534, 282, 18168, 36970, 950, 567, 808, 2793, 18, 20346, 17739, 11355, 779, 16396, 13426, 16, 4426, 3579, 12944, 1436, 16, 7757, 309, 36334, 478, 2997, 272, 22750, 549, 2934, 1068, 910, 1029, 26134, 282, 33558, 15992, 510, 481, 13865, 3388, 435, 505, 13852, 18, 16396, 13426, 3508, 1852, 23326, 4520, 289, 2780, 16, 4813, 309, 13547, 4576, 16, 6908, 329, 20041, 7468, 17490, 680, 316, 962, 17713, 21267, 19582, 433, 31739, 16, 367, 5747, 15732, 282, 914, 25315, 2477, 294, 29816, 263, 18416, 712, 1447, 18, 11159, 23763, 30583, 10060, 18062, 11686, 411, 608, 5619, 906, 282, 28715, 21439, 529, 32562, 798, 510, 334, 27741, 35143, 282, 21670, 17, 277, 1665, 45948, 12175, 282, 28670, 4083, 2127, 36334, 668, 8587, 282, 34654, 18, 1614, 315, 2142, 7650, 281, 25583, 761, 30, 478, 5786, 37517, 670, 8669, 536, 44952, 15224, 16, 670, 7242, 33330, 723, 3848, 1223, 7242, 33330, 861, 2112, 8712, 282, 19630, 17, 277, 1665, 45948, 685, 18566, 282, 19017, 778, 13341, 510, 24235, 36334, 668, 8487, 864, 3875, 18, 16396, 13426, 1665, 45948, 309, 2930, 7468, 19922, 553, 40565, 478, 26181, 403, 408, 370, 470, 282, 45978, 913, 16, 1281, 3612, 17004, 1205, 4802, 4381, 1421, 779, 17716, 1665, 298, 14457, 2615, 20928, 10645, 289, 1760, 36422, 16, 2496, 1639, 25170, 4623, 282, 478, 26181, 403, 408, 2843, 910, 478, 983, 525, 868, 582, 910, 478, 18854, 7033, 5455, 507, 420, 800, 470, 289, 478, 1098, 3778, 2004, 304, 21916, 423, 861, 817, 15023, 300, 477, 5022, 40877, 8487, 1923, 16, 23553, 271, 281, 7995, 16948, 16, 808, 360, 1612, 25140, 281, 19922, 1437, 289, 282, 6031, 23854, 26022, 4179, 397, 1748, 5540, 1631, 281, 20907, 16, 322, 545, 743, 19360, 16, 1721, 1826, 6279, 31264, 18, 46430, 1157, 1665, 2659, 342, 19982, 414, 16, 1565, 39845, 28096, 414, 289, 18157, 29544, 1013, 16, 515, 282, 3709, 975, 2820, 2955, 639, 30239, 510, 28203, 451, 23326, 350, 685, 14679, 850, 890, 628, 289, 8847, 16, 374, 478, 324, 7252, 850, 1943, 20738, 41644, 6905, 4829, 861, 478, 1358, 2963, 373, 16, 753, 2218, 24444, 1611, 364, 2174, 575, 7642, 16, 428, 289, 12030, 1741, 4072, 2035, 15781, 18, 6351, 2924, 9695, 8171, 16, 4410, 703, 19411, 530, 16, 515, 4410, 2504, 322, 8633, 43989, 910, 510, 6443, 1665, 45948, 282, 478, 11636, 2905, 265, 5006, 861, 19277, 1205, 1559, 17157, 536, 282, 505, 17922, 18, 19017, 1162, 8487, 513, 46133, 6406, 567, 5670, 18, 1665, 298, 14457, 4170, 34713, 18215, 510, 2615, 575, 2019, 38639, 309, 16996, 13734, 680, 415, 872, 276, 282, 478, 983, 525, 868, 582, 470, 667, 3598, 14306, 4953, 451, 23841, 15364, 18, 2112, 9512, 27521, 13789, 1665, 45948, 8409, 17198, 36445, 282, 18248, 2502, 17, 983, 671, 452, 1188, 8728, 761, 282, 6413, 18, 640, 5421, 1119, 23326, 350, 685, 18566, 282, 8487, 864, 7988, 871, 38122, 507, 744, 4025, 599, 342, 507, 510, 289, 9601, 7969, 1805, 18, 365, 3875, 478, 404, 1386, 1431, 2365, 613, 470, 349, 13878, 5412, 19412, 294, 10096, 17912, 17703, 8124, 334, 7705, 478, 6014, 4111, 22993, 861, 478, 1358, 7639, 6764, 4833, 17019, 18, 629, 685, 1914, 286, 4866, 800, 16, 17518, 1027, 282, 10177, 289, 475, 1143, 282, 1420, 31785, 650, 9037, 18, 629, 2946, 30, 481, 685, 9350, 18, 740, 19804, 2879, 23322, 18, 629, 322, 3189, 1329, 17198, 282, 5941, 541, 705, 4072, 3704, 346, 38639, 4641, 2309, 16, 753, 16, 13962, 1063, 289, 2492, 342, 20582, 16, 21597, 1938, 2159, 13325, 14311, 28595, 541, 23461, 1360, 2553, 18, 740, 703, 641, 30302, 18, 1192, 306, 930, 24131, 9318, 15684, 37183, 569, 4072, 416, 16, 367, 15481, 16119, 5489, 289, 5453, 1690, 468, 510, 29869, 34640, 4072, 12999, 48482, 910, 510, 6443, 1665, 45948, 282, 478, 11636, 2905, 265, 5006, 861, 1860, 1360, 18283, 25372, 2564, 12981, 1472, 282, 15381, 17, 277, 510, 975, 7863, 13423, 309, 19373, 4177, 289, 36897, 12876, 506, 281, 7605, 2545, 282, 34654, 14780, 18, 16396, 13426, 1665, 45948, 1196, 1788, 965, 282, 5703, 25458, 16767, 309, 46304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3085, 9496, 4652, 3433, 575, 17395, 30, 7760, 840, 2364, 4668, 6862, 5448, 385, 16, 5426, 4668, 3940, 655, 15, 3420, 5448, 385, 18, 832, 5285, 4633, 14734, 382, 18, 10655, 4133, 2549, 539, 11440, 282, 3178, 5576, 3085, 9496, 309, 23691, 2581, 582, 282, 1409, 9247, 443, 27, 8725, 6322, 941, 266, 18, 422, 18, 12092, 294, 2019, 536, 16, 281, 10695, 3021, 12724, 3806, 11972, 15969, 16, 11440, 40276, 519, 1409, 6427, 443, 27, 9348, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 21126, 411, 7878, 23326, 3690, 8606, 3931, 16, 1570, 566, 1510, 309, 13573, 7459, 292, 2422, 16, 17659, 451, 36334, 29642, 289, 20556, 16063, 478, 404, 1386, 1431, 335, 13097, 470, 510, 2123, 3990, 2417, 5432, 6459, 986, 477, 2299, 6067, 16396, 36921, 1665, 2659, 342, 18, 31224, 30, 6039, 16, 349, 374, 1933, 706, 1665, 45948, 16, 492, 8164, 30267, 16, 12341, 12791, 289, 11709, 510, 15023, 300, 16, 3942, 16, 8617, 18, 817, 1559, 33531, 23818, 19017, 718, 10137, 16, 367, 971, 6841, 905, 1514, 289, 322, 5264, 1011, 20072, 27521, 13789, 282, 3875, 18, 478, 672, 394, 35754, 282, 10866, 470, 5568, 1665, 298, 14457, 32542, 20287, 289, 6844, 541, 23326, 1891, 10544, 15447, 18, 42986, 21130, 30, 16396, 13426, 1665, 45948, 16, 7362, 2750, 2101, 3340, 16, 4210, 20990, 375, 16, 16852, 1012, 7371, 401, 282, 39234, 478, 18854, 9930, 25432, 861, 13734, 16, 3703, 4209, 19277, 1205, 1665, 45948, 6181, 309, 1405, 282, 2273, 4032, 6005, 1212, 30498, 309, 7786, 913, 16473, 328, 510, 385, 5400, 31655, 18, 478, 43658, 3476, 17591, 282, 4006, 547, 3726, 1555, 3580, 20035, 18, 1345, 49890, 18, 10129, 8542, 282, 6197, 2008, 10862, 2364, 608, 5619, 16, 10208, 8193, 36970, 950, 18, 5333, 2175, 16, 281, 12899, 4546, 5571, 1244, 465, 510, 481, 43574, 289, 48119, 394, 723, 1358, 322, 2447, 2820, 8659, 16, 374, 2862, 541, 703, 953, 1543, 11319, 547, 16, 367, 322, 16625, 16, 515, 417, 282, 1190, 5644, 15382, 2089, 29947, 18, 11780, 16131, 1162, 5913, 31521, 428, 17, 299, 6847, 289, 9013, 44677, 293, 1380, 1494, 910, 510, 6443, 1665, 45948, 282, 478, 11636, 2905, 265, 5006, 861, 11040, 662, 9190, 38639, 5683, 282, 47501, 18, 510, 11334, 20508, 4110, 411, 4534, 282, 18168, 36970, 950, 567, 808, 2793, 18, 20346, 17739, 11355, 779, 16396, 13426, 16, 4426, 3579, 12944, 1436, 16, 7757, 309, 36334, 478, 2997, 272, 22750, 549, 2934, 1068, 910, 1029, 26134, 282, 33558, 15992, 510, 481, 13865, 3388, 435, 505, 13852, 18, 16396, 13426, 3508, 1852, 23326, 4520, 289, 2780, 16, 4813, 309, 13547, 4576, 16, 6908, 329, 20041, 7468, 17490, 680, 316, 962, 17713, 21267, 19582, 433, 31739, 16, 367, 5747, 15732, 282, 914, 25315, 2477, 294, 29816, 263, 18416, 712, 1447, 18, 11159, 23763, 30583, 10060, 18062, 11686, 411, 608, 5619, 906, 282, 28715, 21439, 529, 32562, 798, 510, 334, 27741, 35143, 282, 21670, 17, 277, 1665, 45948, 12175, 282, 28670, 4083, 2127, 36334, 668, 8587, 282, 34654, 18, 1614, 315, 2142, 7650, 281, 25583, 761, 30, 478, 5786, 37517, 670, 8669, 536, 44952, 15224, 16, 670, 7242, 33330, 723, 3848, 1223, 7242, 33330, 861, 2112, 8712, 282, 19630, 17, 277, 1665, 45948, 685, 18566, 282, 19017, 778, 13341, 510, 24235, 36334, 668, 8487, 864, 3875, 18, 16396, 13426, 1665, 45948, 309, 2930, 7468, 19922, 553, 40565, 478, 26181, 403, 408, 370, 470, 282, 45978, 913, 16, 1281, 3612, 17004, 1205, 4802, 4381, 1421, 779, 17716, 1665, 298, 14457, 2615, 20928, 10645, 289, 1760, 36422, 16, 2496, 1639, 25170, 4623, 282, 478, 26181, 403, 408, 2843, 910, 478, 983, 525, 868, 582, 910, 478, 18854, 7033, 5455, 507, 420, 800, 470, 289, 478, 1098, 3778, 2004, 304, 21916, 423, 861, 817, 15023, 300, 477, 5022, 40877, 8487, 1923, 16, 23553, 271, 281, 7995, 16948, 16, 808, 360, 1612, 25140, 281, 19922, 1437, 289, 282, 6031, 23854, 26022, 4179, 397, 1748, 5540, 1631, 281, 20907, 16, 322, 545, 743, 19360, 16, 1721, 1826, 6279, 31264, 18, 46430, 1157, 1665, 2659, 342, 19982, 414, 16, 1565, 39845, 28096, 414, 289, 18157, 29544, 1013, 16, 515, 282, 3709, 975, 2820, 2955, 639, 30239, 510, 28203, 451, 23326, 350, 685, 14679, 850, 890, 628, 289, 8847, 16, 374, 478, 324, 7252, 850, 1943, 20738, 41644, 6905, 4829, 861, 478, 1358, 2963, 373, 16, 753, 2218, 24444, 1611, 364, 2174, 575, 7642, 16, 428, 289, 12030, 1741, 4072, 2035, 15781, 18, 6351, 2924, 9695, 8171, 16, 4410, 703, 19411, 530, 16, 515, 4410, 2504, 322, 8633, 43989, 910, 510, 6443, 1665, 45948, 282, 478, 11636, 2905, 265, 5006, 861, 19277, 1205, 1559, 17157, 536, 282, 505, 17922, 18, 19017, 1162, 8487, 513, 46133, 6406, 567, 5670, 18, 1665, 298, 14457, 4170, 34713, 18215, 510, 2615, 575, 2019, 38639, 309, 16996, 13734, 680, 415, 872, 276, 282, 478, 983, 525, 868, 582, 470, 667, 3598, 14306, 4953, 451, 23841, 15364, 18, 2112, 9512, 27521, 13789, 1665, 45948, 8409, 17198, 36445, 282, 18248, 2502, 17, 983, 671, 452, 1188, 8728, 761, 282, 6413, 18, 640, 5421, 1119, 23326, 350, 685, 18566, 282, 8487, 864, 7988, 871, 38122, 507, 744, 4025, 599, 342, 507, 510, 289, 9601, 7969, 1805, 18, 365, 3875, 478, 404, 1386, 1431, 2365, 613, 470, 349, 13878, 5412, 19412, 294, 10096, 17912, 17703, 8124, 334, 7705, 478, 6014, 4111, 22993, 861, 478, 1358, 7639, 6764, 4833, 17019, 18, 629, 685, 1914, 286, 4866, 800, 16, 17518, 1027, 282, 10177, 289, 475, 1143, 282, 1420, 31785, 650, 9037, 18, 629, 2946, 30, 481, 685, 9350, 18, 740, 19804, 2879, 23322, 18, 629, 322, 3189, 1329, 17198, 282, 5941, 541, 705, 4072, 3704, 346, 38639, 4641, 2309, 16, 753, 16, 13962, 1063, 289, 2492, 342, 20582, 16, 21597, 1938, 2159, 13325, 14311, 28595, 541, 23461, 1360, 2553, 18, 740, 703, 641, 30302, 18, 1192, 306, 930, 24131, 9318, 15684, 37183, 569, 4072, 416, 16, 367, 15481, 16119, 5489, 289, 5453, 1690, 468, 510, 29869, 34640, 4072, 12999, 48482, 910, 510, 6443, 1665, 45948, 282, 478, 11636, 2905, 265, 5006, 861, 1860, 1360, 18283, 25372, 2564, 12981, 1472, 282, 15381, 17, 277, 510, 975, 7863, 13423, 309, 19373, 4177, 289, 36897, 12876, 506, 281, 7605, 2545, 282, 34654, 14780, 18, 16396, 13426, 1665, 45948, 1196, 1788, 965, 282, 5703, 25458, 16767, 309, 46304 ]
[ 16180, 1279, 25086, 282, 28723, 364, 426, 18, 18211, 16, 1286, 3597, 10507, 779, 14518, 309, 21290, 2756, 541, 1665, 2659, 342, 322, 687, 478, 297, 2362, 635, 8124, 910, 515, 289, 26059, 6435, 8328, 18, 817, 15023, 300, 282, 14093, 1212, 3411, 781, 15191, 29029, 31195, 16, 367, 971, 1715, 1533, 986, 685, 31105, 17659, 416, 371, 429, 316, 962, 17713, 14093, 718, 40565, 10676, 41193, 30051, 4325, 268, 18, 2949, 924, 16, 1665, 45948, 15023, 300, 281, 459, 577, 266, 1034, 5202, 298, 16, 2776, 5499, 727, 27204, 447, 1624, 740, 6408, 5499, 6552, 552, 264, 18, 11662, 539, 7957, 309, 16190, 23326, 1891, 37346, 22605, 12582, 268, 411, 14093, 718, 7988, 871, 26303, 16, 281, 3279, 1665, 2659, 342, 29074, 1166, 19665, 564, 17721, 3361, 18, 31842, 1003, 12072, 12832, 9224, 4314, 22918, 1066, 492, 322, 38678, 18, 1870, 37977, 14522, 334, 1156, 29236, 282, 1205, 16, 367, 282, 16951, 1045, 5630, 505, 29236, 38245, 7593, 18, 365, 17004, 17, 277, 492, 1559, 19201, 36334, 416, 8487, 1923, 26908, 680, 415, 872, 276, 18, 34407, 2257, 289, 13386, 31882, 16, 1372, 281, 50173, 36334, 758, 8487, 10816, 2422, 510, 16130, 280, 17645, 16, 4414, 3699, 455, 16, 13699, 1703, 36334, 536, 4046, 620, 16, 7824, 3276, 3411, 8328, 25359, 16, 7384, 680, 14733, 323, 16, 281, 8487, 10816, 32896, 43828, 5830, 289, 43430, 24536, 46712, 1624, 510, 28286, 282, 4889, 289, 309, 38246, 16, 10808, 12380, 3411, 6464, 510, 1665, 45948, 3942, 309, 529, 944, 1634, 11548, 18, 365, 17842, 779, 3402, 15477, 23326, 1891, 2422, 30499, 510, 492, 3826, 360, 8613, 732, 4529, 1286, 3612, 11525, 779, 282, 12221, 18, 2320, 29107, 309, 12843, 13948, 13407, 17, 23944, 512, 5030, 744, 6606, 264, 2207, 3519, 21275, 28274, 411, 30273, 3047, 16, 29704, 37008, 17, 476, 9277, 2610, 7009, 848, 262, 19791, 452, 27907, 18, 2, 1, 87, 1456, 81, 2448, 30, 10150, 280, 17049, 640, 2796, 401, 1143, 322, 840, 46773, 12797, 2610, 360, 5649, 560, 16, 4426, 25760, 7733, 12984, 8031, 582, 282, 24324, 18, 740, 37797, 42398, 9001, 9620, 4040, 12797, 2610, 360, 26626, 820, 16, 988, 678, 17591, 289, 13000, 282, 22113, 18, 31224, 30, 10150, 280, 17049, 640, 2796, 401, 1143, 322, 840, 12797, 2610, 360, 5649, 560, 18, 34998, 26626, 680, 1767, 6363, 450, 4205, 15279, 33000, 30089, 1015, 272, 27193, 6937, 5791, 282, 34893, 22941, 16, 8977, 1800, 3781, 17, 9952, 17122, 6937, 18, 478, 29, 3597, 3720, 9969, 13875, 8348, 281, 14503, 290, 29734, 4267, 2031, 763, 19750, 17916, 6897, 22941, 360, 6937, 26626, 680, 1767, 18, 817, 685, 9272, 12797, 2610, 282, 12354, 6982, 779, 910, 510, 38349, 3781, 17, 9952, 18, 365, 3781, 17, 40048, 13462, 16, 374, 2555, 3597, 309, 6940, 23143, 17122, 26769, 840, 4755, 24723, 7059, 290, 33139, 30089, 9642, 27193, 6937, 5791, 282, 14788, 28079, 15046, 11919, 18, 640, 2796, 401, 16, 37797, 22104, 5579, 17, 14723, 39064, 5452, 47630, 1624, 17591, 282, 26626, 2557, 16, 1336, 575, 678, 13000, 1927, 612, 616, 496, 17122, 2894, 845, 5308, 541, 9160, 408, 289, 7136, 397, 1018, 669, 3302, 282, 17822, 1045, 18, 365, 5653, 1045, 678, 906, 4056, 282, 316, 14444, 1212, 47158, 14526, 4623, 478, 44280, 1063, 3771, 910, 9184, 506, 282, 9804, 678, 11638, 289, 282, 9315, 1045, 18, 365, 34893, 22941, 640, 2796, 401, 281, 8455, 779, 16, 515, 20949, 1122, 7135, 454, 5649, 342, 18, 11662, 416, 25184, 640, 2796, 401, 1122, 322, 46049, 30, 11888, 779, 2158, 16, 282, 5021, 1045, 16, 20065, 12760, 21165, 322, 757, 18894, 722, 37917, 411, 17, 431, 11220, 1251, 23049, 5439, 10056, 17, 262, 10667, 289, 11350, 17, 42481, 4963, 4958, 4946, 16040, 11919, 415, 306, 547, 16, 687, 281, 35962, 9868, 442, 3363, 271, 2564, 18894, 722, 37917, 282, 2231, 40864, 18, 7699, 16872, 1655, 17294, 887, 16, 374, 349, 4101, 1272, 779, 35675, 537, 7633, 322, 906, 282, 5649, 546, 18, 1253, 309, 481, 6949, 16, 374, 478, 404, 47027, 39233, 282, 5690, 10813, 910, 541, 924, 753, 11291, 3586, 5649, 560, 282, 34893, 22941, 18, 5043, 16, 477, 13111, 779, 478, 44969, 282, 1851, 17, 299, 10813, 470, 541, 26128, 11947, 6897, 22941, 27657, 4128, 30, 430, 3612, 4440, 779, 30943, 282, 3941, 1568, 16, 5938, 5076, 12797, 1250, 3029, 8147, 1472, 411, 7619, 41541, 16, 478, 1961, 4060, 973, 760, 17576, 470, 21030, 670, 18373, 10144, 18, 18162, 8031, 454, 25760, 3064, 4770, 282, 7978, 750, 5049, 779, 18, 439, 282, 3453, 5649, 546, 13673, 11031, 282, 708, 267, 3031, 564, 18222, 726, 282, 12354, 30, 282, 12335, 282, 22967, 6382, 38272, 16, 309, 2114, 685, 47541, 4193, 360, 1949, 22413, 9305, 12702, 442, 3363, 332, 473, 40242, 540, 6839, 17115, 5649, 560, 13, 294, 558, 4258, 12680, 1147, 15810, 1147, 442, 3363, 1528, 411, 9817, 11630, 18, 27620, 3194, 282, 10296, 1533, 3802, 1747, 2852, 9077, 30, 478, 29971, 3771, 470, 1624, 478, 44280, 1063, 3771, 910, 28513, 1624, 17838, 289, 478, 35940, 312, 3244, 1175, 861, 5181, 16, 282, 15505, 478, 44280, 1406, 1175, 470, 30089, 9642, 895, 953, 25019, 30, 282, 13186, 16, 3057, 16, 8851, 9216, 10872, 478, 44280, 1406, 1175, 470, 282, 5379, 675, 321, 635, 3948, 26626, 820, 30866, 41884, 512, 12084, 9321, 16, 374, 906, 21928, 1004, 282, 9077, 547, 20352, 1011, 924, 16, 428, 18585, 8348, 290, 20228, 411, 4623, 18, 26626, 1133, 5792, 16, 282, 1423, 3678, 16, 13557, 4479, 779, 7556, 22457, 17488, 30089, 9642, 309, 3059, 6677, 5791, 1011, 13526, 8548, 324, 1624, 14450, 381, 31330, 2024, 17296, 13672, 475, 4101, 2852, 986, 18, 2, 1, 87, 1456, 81, 2448, 30, 730, 363, 883, 10212, 1175, 411, 10801, 8735, 478, 13762, 45836, 468, 17, 28028, 470, 14306, 4953, 668, 19801, 282, 9981, 18, 1012, 23702, 44290, 31703, 28146, 281, 46835, 478, 45, 1234, 461, 16221, 30018, 2007, 470, 13202, 4110, 3333, 7190, 32435, 11338, 17, 296, 46685, 510, 289, 322, 687, 18, 31224, 30, 17394, 3252, 266, 16934, 17711, 9880, 1970, 18519, 11854, 10419, 360, 8465, 282, 478, 13762, 45836, 763, 470, 289, 16328, 6106, 16, 374, 10867, 1943, 13967, 18, 478, 1358, 2202, 1719, 8602, 16, 417, 322, 15815, 478, 13762, 45836, 468, 861, 889, 726, 10867, 16, 2697, 50199, 1510, 8252, 6321, 16, 510, 7332, 1694, 9880, 22686, 391, 26448, 18, 510, 10085, 5298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16180, 1279, 25086, 282, 28723, 364, 426, 18, 18211, 16, 1286, 3597, 10507, 779, 14518, 309, 21290, 2756, 541, 1665, 2659, 342, 322, 687, 478, 297, 2362, 635, 8124, 910, 515, 289, 26059, 6435, 8328, 18, 817, 15023, 300, 282, 14093, 1212, 3411, 781, 15191, 29029, 31195, 16, 367, 971, 1715, 1533, 986, 685, 31105, 17659, 416, 371, 429, 316, 962, 17713, 14093, 718, 40565, 10676, 41193, 30051, 4325, 268, 18, 2949, 924, 16, 1665, 45948, 15023, 300, 281, 459, 577, 266, 1034, 5202, 298, 16, 2776, 5499, 727, 27204, 447, 1624, 740, 6408, 5499, 6552, 552, 264, 18, 11662, 539, 7957, 309, 16190, 23326, 1891, 37346, 22605, 12582, 268, 411, 14093, 718, 7988, 871, 26303, 16, 281, 3279, 1665, 2659, 342, 29074, 1166, 19665, 564, 17721, 3361, 18, 31842, 1003, 12072, 12832, 9224, 4314, 22918, 1066, 492, 322, 38678, 18, 1870, 37977, 14522, 334, 1156, 29236, 282, 1205, 16, 367, 282, 16951, 1045, 5630, 505, 29236, 38245, 7593, 18, 365, 17004, 17, 277, 492, 1559, 19201, 36334, 416, 8487, 1923, 26908, 680, 415, 872, 276, 18, 34407, 2257, 289, 13386, 31882, 16, 1372, 281, 50173, 36334, 758, 8487, 10816, 2422, 510, 16130, 280, 17645, 16, 4414, 3699, 455, 16, 13699, 1703, 36334, 536, 4046, 620, 16, 7824, 3276, 3411, 8328, 25359, 16, 7384, 680, 14733, 323, 16, 281, 8487, 10816, 32896, 43828, 5830, 289, 43430, 24536, 46712, 1624, 510, 28286, 282, 4889, 289, 309, 38246, 16, 10808, 12380, 3411, 6464, 510, 1665, 45948, 3942, 309, 529, 944, 1634, 11548, 18, 365, 17842, 779, 3402, 15477, 23326, 1891, 2422, 30499, 510, 492, 3826, 360, 8613, 732, 4529, 1286, 3612, 11525, 779, 282, 12221, 18, 2320, 29107, 309, 12843, 13948, 13407, 17, 23944, 512, 5030, 744, 6606, 264, 2207, 3519, 21275, 28274, 411, 30273, 3047, 16, 29704, 37008, 17, 476, 9277, 2610, 7009, 848, 262, 19791, 452, 27907, 18, 2, 1, 87, 1456, 81, 2448, 30, 10150, 280, 17049, 640, 2796, 401, 1143, 322, 840, 46773, 12797, 2610, 360, 5649, 560, 16, 4426, 25760, 7733, 12984, 8031, 582, 282, 24324, 18, 740, 37797, 42398, 9001, 9620, 4040, 12797, 2610, 360, 26626, 820, 16, 988, 678, 17591, 289, 13000, 282, 22113, 18, 31224, 30, 10150, 280, 17049, 640, 2796, 401, 1143, 322, 840, 12797, 2610, 360, 5649, 560, 18, 34998, 26626, 680, 1767, 6363, 450, 4205, 15279, 33000, 30089, 1015, 272, 27193, 6937, 5791, 282, 34893, 22941, 16, 8977, 1800, 3781, 17, 9952, 17122, 6937, 18, 478, 29, 3597, 3720, 9969, 13875, 8348, 281, 14503, 290, 29734, 4267, 2031, 763, 19750, 17916, 6897, 22941, 360, 6937, 26626, 680, 1767, 18, 817, 685, 9272, 12797, 2610, 282, 12354, 6982, 779, 910, 510, 38349, 3781, 17, 9952, 18, 365, 3781, 17, 40048, 13462, 16, 374, 2555, 3597, 309, 6940, 23143, 17122, 26769, 840, 4755, 24723, 7059, 290, 33139, 30089, 9642, 27193, 6937, 5791, 282, 14788, 28079, 15046, 11919, 18, 640, 2796, 401, 16, 37797, 22104, 5579, 17, 14723, 39064, 5452, 47630, 1624, 17591, 282, 26626, 2557, 16, 1336, 575, 678, 13000, 1927, 612, 616, 496, 17122, 2894, 845, 5308, 541, 9160, 408, 289, 7136, 397, 1018, 669, 3302, 282, 17822, 1045, 18, 365, 5653, 1045, 678, 906, 4056, 282, 316, 14444, 1212, 47158, 14526, 4623, 478, 44280, 1063, 3771, 910, 9184, 506, 282, 9804, 678, 11638, 289, 282, 9315, 1045, 18, 365, 34893, 22941, 640, 2796, 401, 281, 8455, 779, 16, 515, 20949, 1122, 7135, 454, 5649, 342, 18, 11662, 416, 25184, 640, 2796, 401, 1122, 322, 46049, 30, 11888, 779, 2158, 16, 282, 5021, 1045, 16, 20065, 12760, 21165, 322, 757, 18894, 722, 37917, 411, 17, 431, 11220, 1251, 23049, 5439, 10056, 17, 262, 10667, 289, 11350, 17, 42481, 4963, 4958, 4946, 16040, 11919, 415, 306, 547, 16, 687, 281, 35962, 9868, 442, 3363, 271, 2564, 18894, 722, 37917, 282, 2231, 40864, 18, 7699, 16872, 1655, 17294, 887, 16, 374, 349, 4101, 1272, 779, 35675, 537, 7633, 322, 906, 282, 5649, 546, 18, 1253, 309, 481, 6949, 16, 374, 478, 404, 47027, 39233, 282, 5690, 10813, 910, 541, 924, 753, 11291, 3586, 5649, 560, 282, 34893, 22941, 18, 5043, 16, 477, 13111, 779, 478, 44969, 282, 1851, 17, 299, 10813, 470, 541, 26128, 11947, 6897, 22941, 27657, 4128, 30, 430, 3612, 4440, 779, 30943, 282, 3941, 1568, 16, 5938, 5076, 12797, 1250, 3029, 8147, 1472, 411, 7619, 41541, 16, 478, 1961, 4060, 973, 760, 17576, 470, 21030, 670, 18373, 10144, 18, 18162, 8031, 454, 25760, 3064, 4770, 282, 7978, 750, 5049, 779, 18, 439, 282, 3453, 5649, 546, 13673, 11031, 282, 708, 267, 3031, 564, 18222, 726, 282, 12354, 30, 282, 12335, 282, 22967, 6382, 38272, 16, 309, 2114, 685, 47541, 4193, 360, 1949, 22413, 9305, 12702, 442, 3363, 332, 473, 40242, 540, 6839, 17115, 5649, 560, 13, 294, 558, 4258, 12680, 1147, 15810, 1147, 442, 3363, 1528, 411, 9817, 11630, 18, 27620, 3194, 282, 10296, 1533, 3802, 1747, 2852, 9077, 30, 478, 29971, 3771, 470, 1624, 478, 44280, 1063, 3771, 910, 28513, 1624, 17838, 289, 478, 35940, 312, 3244, 1175, 861, 5181, 16, 282, 15505, 478, 44280, 1406, 1175, 470, 30089, 9642, 895, 953, 25019, 30, 282, 13186, 16, 3057, 16, 8851, 9216, 10872, 478, 44280, 1406, 1175, 470, 282, 5379, 675, 321, 635, 3948, 26626, 820, 30866, 41884, 512, 12084, 9321, 16, 374, 906, 21928, 1004, 282, 9077, 547, 20352, 1011, 924, 16, 428, 18585, 8348, 290, 20228, 411, 4623, 18, 26626, 1133, 5792, 16, 282, 1423, 3678, 16, 13557, 4479, 779, 7556, 22457, 17488, 30089, 9642, 309, 3059, 6677, 5791, 1011, 13526, 8548, 324, 1624, 14450, 381, 31330, 2024, 17296, 13672, 475, 4101, 2852, 986, 18, 2, 1, 87, 1456, 81, 2448, 30, 730, 363, 883, 10212, 1175, 411, 10801, 8735, 478, 13762, 45836, 468, 17, 28028, 470, 14306, 4953, 668, 19801, 282, 9981, 18, 1012, 23702, 44290, 31703, 28146, 281, 46835, 478, 45, 1234, 461, 16221, 30018, 2007, 470, 13202, 4110, 3333, 7190, 32435, 11338, 17, 296, 46685, 510, 289, 322, 687, 18, 31224, 30, 17394, 3252, 266, 16934, 17711, 9880, 1970, 18519, 11854, 10419, 360, 8465, 282, 478, 13762, 45836, 763, 470, 289, 16328, 6106, 16, 374, 10867, 1943, 13967, 18, 478, 1358, 2202, 1719, 8602, 16, 417, 322, 15815, 478, 13762, 45836, 468, 861, 889, 726, 10867, 16, 2697, 50199, 1510, 8252, 6321, 16, 510, 7332, 1694, 9880, 22686, 391, 26448, 18, 510, 10085, 5298 ]
[ 478, 40176, 330, 16, 16309, 24450, 289, 502, 29798, 840, 5, 459, 1743, 322, 282, 16615, 5361, 482, 16, 5522, 3361, 294, 7866, 1433, 2044, 481, 726, 322, 2397, 16, 481, 7866, 564, 322, 1580, 19279, 35223, 16, 961, 19160, 467, 15375, 2279, 18, 459, 417, 2060, 16, 374, 282, 1177, 445, 1379, 5854, 17058, 1548, 16, 374, 722, 322, 36841, 309, 13012, 282, 6104, 1045, 18, 459, 417, 9763, 16, 374, 828, 6847, 3771, 2010, 4045, 6908, 23564, 978, 478, 28085, 513, 470, 9798, 10801, 16, 1548, 374, 492, 726, 5773, 4117, 29442, 5275, 286, 16, 867, 1882, 840, 541, 1209, 18, 459, 10867, 26479, 749, 4700, 17, 299, 37096, 3209, 48159, 21200, 18, 365, 4784, 16, 1381, 4745, 4751, 4049, 1508, 478, 13762, 45836, 468, 470, 13967, 289, 322, 1381, 282, 1169, 12606, 3020, 6731, 1805, 861, 7886, 306, 3045, 289, 9195, 40994, 9045, 950, 29884, 967, 297, 362, 375, 2815, 16, 374, 975, 639, 15955, 567, 808, 11815, 31703, 28146, 18, 478, 11233, 15955, 639, 16, 8602, 18, 629, 1139, 322, 2946, 16, 2319, 965, 1073, 278, 16, 510, 1109, 967, 297, 362, 375, 18, 510, 1253, 906, 11176, 798, 567, 1209, 9084, 292, 978, 1694, 18, 608, 1710, 322, 11157, 329, 14351, 8320, 1250, 16, 2988, 697, 322, 639, 2141, 16, 515, 1139, 453, 309, 16996, 13761, 2955, 18, 459, 20014, 322, 1623, 15072, 16, 322, 1623, 7644, 2509, 18, 7500, 3848, 1623, 2864, 761, 42454, 2009, 13223, 16, 515, 1800, 3716, 4385, 42021, 5067, 309, 37677, 861, 7886, 306, 3045, 322, 1559, 44749, 6116, 3653, 2497, 1694, 289, 11060, 35632, 20562, 10111, 31703, 28146, 18, 478, 677, 6104, 1045, 722, 381, 6650, 326, 12070, 282, 4862, 16, 374, 639, 16, 2091, 16, 21819, 334, 8823, 294, 25372, 582, 16, 510, 9299, 967, 297, 362, 375, 18, 510, 365, 803, 1045, 1450, 906, 5657, 2773, 2678, 16, 289, 678, 2879, 906, 17454, 2048, 475, 16, 367, 678, 1335, 19534, 6393, 15814, 453, 16, 428, 9253, 18, 5093, 639, 4823, 18992, 3436, 19, 27, 18, 5093, 639, 16719, 445, 21526, 3633, 12211, 18, 25643, 1924, 1749, 322, 18189, 309, 965, 8341, 13761, 1215, 453, 309, 16996, 18, 365, 47749, 17, 299, 1381, 3858, 1291, 1830, 373, 723, 629, 23636, 37313, 722, 46025, 21001, 1617, 21460, 553, 16, 515, 481, 1139, 575, 425, 861, 1681, 2374, 1211, 6106, 967, 297, 362, 884, 289, 10193, 36618, 289, 35163, 16, 367, 1038, 1176, 411, 11620, 1051, 11338, 478, 27874, 470, 17397, 439, 877, 1520, 18, 478, 4441, 1833, 639, 6218, 18, 608, 44290, 939, 12031, 8403, 16, 678, 24950, 1135, 16, 939, 10904, 2696, 16, 510, 15875, 439, 877, 3949, 6080, 478, 13261, 861, 510, 740, 827, 656, 18515, 14863, 668, 26314, 16, 1655, 322, 1381, 36419, 16, 374, 656, 10387, 322, 8056, 18, 1178, 656, 11843, 2319, 17, 299, 6886, 16, 1513, 639, 4823, 31441, 2524, 414, 419, 861, 2333, 6809, 755, 289, 3203, 15185, 25539, 478, 13762, 45836, 427, 470, 978, 779, 4137, 1789, 464, 7960, 16, 6891, 16, 5273, 16, 374, 329, 31703, 28146, 898, 16171, 8662, 282, 23356, 10801, 18, 478, 11233, 3073, 16, 329, 1710, 685, 9700, 6886, 18, 740, 8670, 475, 46568, 478, 13762, 45836, 427, 470, 7012, 322, 20115, 18, 17614, 16, 374, 678, 322, 7801, 18, 1345, 2079, 538, 289, 24399, 339, 349, 1710, 16, 515, 3591, 10867, 510, 481, 10867, 18, 16494, 912, 1085, 17, 299, 16, 1085, 1882, 35479, 16, 329, 2616, 1882, 16309, 670, 5172, 18, 1937, 694, 352, 8910, 309, 10867, 16, 1381, 8670, 16, 374, 481, 4307, 2844, 2957, 283, 5552, 13329, 16, 282, 2114, 26940, 1135, 910, 510, 4725, 1789, 464, 7960, 18, 7886, 306, 3045, 289, 30961, 1789, 464, 10788, 334, 3125, 9885, 25539, 26785, 16396, 35897, 39672, 16, 374, 309, 4862, 31703, 7408, 9253, 373, 6886, 282, 23356, 18, 478, 1358, 2447, 2023, 428, 3203, 15185, 25539, 282, 803, 1045, 30, 417, 6378, 16, 428, 19518, 40407, 309, 2930, 41042, 27793, 404, 18, 34719, 510, 475, 16, 374, 678, 3207, 16, 678, 475, 7199, 16, 510, 9321, 16396, 35897, 18, 510, 3759, 2955, 5726, 47191, 289, 3111, 16, 374, 4010, 17, 299, 529, 275, 2131, 4367, 6843, 18, 32070, 322, 2879, 906, 9373, 282, 26042, 306, 16, 678, 2879, 906, 9373, 309, 13012, 510, 481, 685, 5773, 21505, 8683, 655, 1178, 373, 678, 31443, 309, 13012, 16, 678, 693, 7540, 6276, 373, 282, 23356, 861, 478, 3096, 1543, 5517, 906, 16, 322, 541, 34206, 16, 510, 23188, 17653, 18061, 35321, 15561, 18, 510, 365, 34206, 685, 14197, 4358, 16, 722, 939, 12503, 16, 26042, 274, 722, 4425, 1909, 18, 1345, 2141, 322, 2125, 3111, 1329, 19508, 282, 4459, 44290, 18, 1253, 475, 16, 374, 3207, 16, 678, 475, 7199, 18, 740, 678, 322, 895, 5640, 10125, 3230, 5430, 18, 608, 1710, 912, 13756, 11548, 16, 329, 1710, 16, 294, 6095, 16, 1003, 2900, 17384, 17203, 16, 753, 22422, 16, 428, 35479, 16, 3057, 16, 24142, 333, 861, 8413, 300, 10801, 478, 13762, 45836, 468, 470, 8192, 282, 11877, 16, 1912, 3598, 18, 365, 1169, 21005, 3455, 4016, 31082, 16, 2496, 1639, 322, 840, 31703, 28146, 18, 478, 18386, 18, 8381, 470, 840, 13254, 349, 11338, 282, 6529, 1161, 8063, 17, 26685, 553, 18, 2, 1, 87, 1456, 81, 2448, 30, 992, 47064, 7474, 1162, 13143, 282, 11946, 3515, 521, 1424, 281, 1684, 9340, 282, 8185, 45453, 718, 30317, 10015, 1770, 1509, 18, 1572, 18, 9432, 4601, 13230, 10195, 44422, 8140, 16, 20974, 17, 35662, 755, 12533, 16151, 411, 17, 431, 8535, 18, 31224, 30, 677, 11946, 41749, 3515, 521, 3306, 281, 1684, 9340, 282, 31797, 45453, 718, 1511, 14768, 624, 1770, 1509, 18, 1572, 18, 4852, 13751, 668, 2789, 668, 2979, 639, 1904, 4750, 16, 374, 11730, 3960, 18, 24321, 23014, 900, 414, 8811, 6233, 282, 634, 6784, 18, 4802, 10292, 282, 14053, 1212, 43671, 2919, 281, 42176, 18, 12962, 1157, 12380, 23156, 15444, 758, 18, 12092, 3891, 745, 2073, 887, 14379, 10178, 309, 4625, 8933, 8434, 473, 275, 5344, 411, 6814, 5792, 13, 289, 12043, 414, 773, 4134, 18, 510, 629, 2447, 3666, 18958, 35, 1397, 1336, 3621, 35, 16, 510, 281, 14739, 1214, 8181, 8662, 282, 31797, 9541, 17, 22079, 11131, 478, 26145, 749, 21939, 470, 10618, 5573, 286, 2931, 18, 510, 450, 10591, 708, 25621, 18, 3759, 11371, 46026 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40176, 330, 16, 16309, 24450, 289, 502, 29798, 840, 5, 459, 1743, 322, 282, 16615, 5361, 482, 16, 5522, 3361, 294, 7866, 1433, 2044, 481, 726, 322, 2397, 16, 481, 7866, 564, 322, 1580, 19279, 35223, 16, 961, 19160, 467, 15375, 2279, 18, 459, 417, 2060, 16, 374, 282, 1177, 445, 1379, 5854, 17058, 1548, 16, 374, 722, 322, 36841, 309, 13012, 282, 6104, 1045, 18, 459, 417, 9763, 16, 374, 828, 6847, 3771, 2010, 4045, 6908, 23564, 978, 478, 28085, 513, 470, 9798, 10801, 16, 1548, 374, 492, 726, 5773, 4117, 29442, 5275, 286, 16, 867, 1882, 840, 541, 1209, 18, 459, 10867, 26479, 749, 4700, 17, 299, 37096, 3209, 48159, 21200, 18, 365, 4784, 16, 1381, 4745, 4751, 4049, 1508, 478, 13762, 45836, 468, 470, 13967, 289, 322, 1381, 282, 1169, 12606, 3020, 6731, 1805, 861, 7886, 306, 3045, 289, 9195, 40994, 9045, 950, 29884, 967, 297, 362, 375, 2815, 16, 374, 975, 639, 15955, 567, 808, 11815, 31703, 28146, 18, 478, 11233, 15955, 639, 16, 8602, 18, 629, 1139, 322, 2946, 16, 2319, 965, 1073, 278, 16, 510, 1109, 967, 297, 362, 375, 18, 510, 1253, 906, 11176, 798, 567, 1209, 9084, 292, 978, 1694, 18, 608, 1710, 322, 11157, 329, 14351, 8320, 1250, 16, 2988, 697, 322, 639, 2141, 16, 515, 1139, 453, 309, 16996, 13761, 2955, 18, 459, 20014, 322, 1623, 15072, 16, 322, 1623, 7644, 2509, 18, 7500, 3848, 1623, 2864, 761, 42454, 2009, 13223, 16, 515, 1800, 3716, 4385, 42021, 5067, 309, 37677, 861, 7886, 306, 3045, 322, 1559, 44749, 6116, 3653, 2497, 1694, 289, 11060, 35632, 20562, 10111, 31703, 28146, 18, 478, 677, 6104, 1045, 722, 381, 6650, 326, 12070, 282, 4862, 16, 374, 639, 16, 2091, 16, 21819, 334, 8823, 294, 25372, 582, 16, 510, 9299, 967, 297, 362, 375, 18, 510, 365, 803, 1045, 1450, 906, 5657, 2773, 2678, 16, 289, 678, 2879, 906, 17454, 2048, 475, 16, 367, 678, 1335, 19534, 6393, 15814, 453, 16, 428, 9253, 18, 5093, 639, 4823, 18992, 3436, 19, 27, 18, 5093, 639, 16719, 445, 21526, 3633, 12211, 18, 25643, 1924, 1749, 322, 18189, 309, 965, 8341, 13761, 1215, 453, 309, 16996, 18, 365, 47749, 17, 299, 1381, 3858, 1291, 1830, 373, 723, 629, 23636, 37313, 722, 46025, 21001, 1617, 21460, 553, 16, 515, 481, 1139, 575, 425, 861, 1681, 2374, 1211, 6106, 967, 297, 362, 884, 289, 10193, 36618, 289, 35163, 16, 367, 1038, 1176, 411, 11620, 1051, 11338, 478, 27874, 470, 17397, 439, 877, 1520, 18, 478, 4441, 1833, 639, 6218, 18, 608, 44290, 939, 12031, 8403, 16, 678, 24950, 1135, 16, 939, 10904, 2696, 16, 510, 15875, 439, 877, 3949, 6080, 478, 13261, 861, 510, 740, 827, 656, 18515, 14863, 668, 26314, 16, 1655, 322, 1381, 36419, 16, 374, 656, 10387, 322, 8056, 18, 1178, 656, 11843, 2319, 17, 299, 6886, 16, 1513, 639, 4823, 31441, 2524, 414, 419, 861, 2333, 6809, 755, 289, 3203, 15185, 25539, 478, 13762, 45836, 427, 470, 978, 779, 4137, 1789, 464, 7960, 16, 6891, 16, 5273, 16, 374, 329, 31703, 28146, 898, 16171, 8662, 282, 23356, 10801, 18, 478, 11233, 3073, 16, 329, 1710, 685, 9700, 6886, 18, 740, 8670, 475, 46568, 478, 13762, 45836, 427, 470, 7012, 322, 20115, 18, 17614, 16, 374, 678, 322, 7801, 18, 1345, 2079, 538, 289, 24399, 339, 349, 1710, 16, 515, 3591, 10867, 510, 481, 10867, 18, 16494, 912, 1085, 17, 299, 16, 1085, 1882, 35479, 16, 329, 2616, 1882, 16309, 670, 5172, 18, 1937, 694, 352, 8910, 309, 10867, 16, 1381, 8670, 16, 374, 481, 4307, 2844, 2957, 283, 5552, 13329, 16, 282, 2114, 26940, 1135, 910, 510, 4725, 1789, 464, 7960, 18, 7886, 306, 3045, 289, 30961, 1789, 464, 10788, 334, 3125, 9885, 25539, 26785, 16396, 35897, 39672, 16, 374, 309, 4862, 31703, 7408, 9253, 373, 6886, 282, 23356, 18, 478, 1358, 2447, 2023, 428, 3203, 15185, 25539, 282, 803, 1045, 30, 417, 6378, 16, 428, 19518, 40407, 309, 2930, 41042, 27793, 404, 18, 34719, 510, 475, 16, 374, 678, 3207, 16, 678, 475, 7199, 16, 510, 9321, 16396, 35897, 18, 510, 3759, 2955, 5726, 47191, 289, 3111, 16, 374, 4010, 17, 299, 529, 275, 2131, 4367, 6843, 18, 32070, 322, 2879, 906, 9373, 282, 26042, 306, 16, 678, 2879, 906, 9373, 309, 13012, 510, 481, 685, 5773, 21505, 8683, 655, 1178, 373, 678, 31443, 309, 13012, 16, 678, 693, 7540, 6276, 373, 282, 23356, 861, 478, 3096, 1543, 5517, 906, 16, 322, 541, 34206, 16, 510, 23188, 17653, 18061, 35321, 15561, 18, 510, 365, 34206, 685, 14197, 4358, 16, 722, 939, 12503, 16, 26042, 274, 722, 4425, 1909, 18, 1345, 2141, 322, 2125, 3111, 1329, 19508, 282, 4459, 44290, 18, 1253, 475, 16, 374, 3207, 16, 678, 475, 7199, 18, 740, 678, 322, 895, 5640, 10125, 3230, 5430, 18, 608, 1710, 912, 13756, 11548, 16, 329, 1710, 16, 294, 6095, 16, 1003, 2900, 17384, 17203, 16, 753, 22422, 16, 428, 35479, 16, 3057, 16, 24142, 333, 861, 8413, 300, 10801, 478, 13762, 45836, 468, 470, 8192, 282, 11877, 16, 1912, 3598, 18, 365, 1169, 21005, 3455, 4016, 31082, 16, 2496, 1639, 322, 840, 31703, 28146, 18, 478, 18386, 18, 8381, 470, 840, 13254, 349, 11338, 282, 6529, 1161, 8063, 17, 26685, 553, 18, 2, 1, 87, 1456, 81, 2448, 30, 992, 47064, 7474, 1162, 13143, 282, 11946, 3515, 521, 1424, 281, 1684, 9340, 282, 8185, 45453, 718, 30317, 10015, 1770, 1509, 18, 1572, 18, 9432, 4601, 13230, 10195, 44422, 8140, 16, 20974, 17, 35662, 755, 12533, 16151, 411, 17, 431, 8535, 18, 31224, 30, 677, 11946, 41749, 3515, 521, 3306, 281, 1684, 9340, 282, 31797, 45453, 718, 1511, 14768, 624, 1770, 1509, 18, 1572, 18, 4852, 13751, 668, 2789, 668, 2979, 639, 1904, 4750, 16, 374, 11730, 3960, 18, 24321, 23014, 900, 414, 8811, 6233, 282, 634, 6784, 18, 4802, 10292, 282, 14053, 1212, 43671, 2919, 281, 42176, 18, 12962, 1157, 12380, 23156, 15444, 758, 18, 12092, 3891, 745, 2073, 887, 14379, 10178, 309, 4625, 8933, 8434, 473, 275, 5344, 411, 6814, 5792, 13, 289, 12043, 414, 773, 4134, 18, 510, 629, 2447, 3666, 18958, 35, 1397, 1336, 3621, 35, 16, 510, 281, 14739, 1214, 8181, 8662, 282, 31797, 9541, 17, 22079, 11131, 478, 26145, 749, 21939, 470, 10618, 5573, 286, 2931, 18, 510, 450, 10591, 708, 25621, 18, 3759, 11371, 46026 ]
[ 16, 510, 9848, 1176, 411, 994, 13499, 18, 2112, 1660, 14928, 1970, 873, 20635, 4110, 2979, 48970, 296, 932, 18, 478, 789, 13110, 2023, 16, 374, 3621, 18, 365, 31797, 5726, 322, 18783, 820, 467, 289, 5726, 322, 8712, 467, 18, 1303, 8811, 38557, 3775, 9625, 10203, 353, 289, 14309, 30842, 18, 1303, 7312, 3215, 2443, 275, 6009, 16, 7012, 2038, 322, 3049, 395, 2625, 18, 740, 475, 3066, 12960, 910, 510, 9848, 478, 46088, 18, 8381, 470, 17872, 1770, 1509, 18, 1572, 3720, 999, 27085, 451, 18, 4059, 355, 14434, 282, 2083, 21546, 39877, 492, 6820, 349, 22008, 12380, 289, 22626, 349, 41771, 14815, 1974, 281, 14120, 12420, 11228, 16338, 18, 46036, 17, 35662, 755, 1770, 1509, 18, 1572, 5585, 17186, 13465, 401, 281, 4079, 49033, 349, 12127, 18, 1253, 3365, 290, 4053, 22666, 289, 309, 1360, 7759, 282, 10249, 3043, 6915, 8495, 30, 478, 1140, 813, 8272, 1684, 1465, 18, 21203, 14824, 10195, 20635, 4110, 309, 7422, 12444, 12380, 18, 1397, 19547, 651, 322, 6597, 2419, 18, 18619, 8272, 1684, 1465, 329, 3338, 42770, 18, 1012, 315, 3231, 475, 18, 439, 1314, 2710, 17, 299, 35682, 1749, 282, 634, 6784, 9523, 329, 3212, 7428, 18, 640, 864, 6737, 5953, 17, 34600, 20467, 289, 16884, 5794, 18, 33374, 802, 40122, 2979, 18, 1303, 20549, 396, 5034, 448, 1101, 651, 12751, 18, 25310, 651, 49977, 13453, 396, 13526, 32187, 342, 18128, 16, 2076, 5039, 16795, 6948, 287, 42438, 264, 6318, 16, 11809, 37130, 884, 18, 385, 7681, 2760, 21748, 282, 29064, 18, 37773, 16, 374, 371, 371, 33626, 9718, 802, 44956, 18, 832, 17950, 1967, 47417, 1275, 289, 322, 12083, 861, 365, 352, 47064, 7474, 1212, 18248, 15003, 36762, 49827, 16192, 31432, 13465, 1161, 1188, 10212, 304, 47585, 290, 1708, 339, 322, 673, 332, 34213, 690, 1484, 18, 6592, 14371, 16, 329, 1710, 912, 2852, 2868, 309, 24227, 1335, 24966, 16, 1011, 1660, 1450, 13547, 530, 9940, 7425, 12127, 18, 740, 322, 673, 40534, 978, 16178, 8641, 322, 2397, 3361, 294, 2170, 31504, 1684, 30054, 18, 365, 3781, 17, 12495, 11552, 8231, 334, 27755, 1767, 478, 46088, 18, 8381, 470, 12002, 16, 374, 2204, 6676, 3193, 17897, 282, 4301, 7301, 2198, 14132, 1101, 290, 50128, 282, 7117, 27177, 9802, 18, 7743, 5327, 5153, 2005, 22128, 12512, 477, 25736, 30317, 10015, 18, 824, 23810, 3761, 16, 4498, 3419, 290, 23386, 1033, 828, 1533, 3763, 2791, 18, 478, 822, 5460, 11969, 1743, 322, 2397, 5522, 3361, 294, 29411, 3416, 10015, 510, 21045, 15140, 1623, 1717, 47618, 45432, 783, 910, 510, 9299, 3781, 17, 15975, 18654, 718, 11552, 8231, 16095, 9712, 1549, 770, 18, 365, 8347, 13636, 726, 7134, 14450, 290, 36849, 5585, 43677, 13465, 1161, 294, 45432, 7715, 281, 1087, 8665, 673, 761, 289, 2921, 1082, 12474, 541, 8274, 8393, 282, 13606, 2161, 5706, 18, 824, 2184, 39394, 16, 20974, 17, 35662, 755, 16, 30138, 3319, 18052, 353, 2496, 8243, 7785, 267, 13752, 289, 14886, 16, 8641, 37999, 282, 3106, 7670, 837, 16, 49826, 26353, 8275, 41679, 8520, 8393, 18, 2046, 10211, 2089, 4371, 1055, 2504, 322, 24344, 18, 13925, 9712, 1549, 770, 2815, 16, 374, 371, 1684, 6784, 21359, 23394, 1511, 14768, 624, 898, 678, 1067, 1007, 1033, 2555, 13241, 355, 16, 35462, 4779, 12915, 17, 314, 5388, 2325, 1082, 16, 478, 4743, 5429, 16, 541, 14412, 367, 2549, 910, 3110, 6080, 478, 13261, 861, 45598, 16, 374, 1717, 1205, 2158, 1770, 1509, 18, 1572, 371, 12278, 11131, 478, 26145, 749, 21939, 470, 4732, 49233, 19311, 31446, 4559, 290, 22005, 282, 25982, 3819, 16367, 680, 6233, 18, 365, 3560, 35025, 1967, 6059, 378, 4083, 272, 16833, 294, 1190, 2076, 5039, 16795, 6948, 287, 282, 16526, 18175, 9543, 42438, 42932, 1624, 1029, 16, 334, 722, 3163, 16, 22080, 1450, 1974, 281, 14049, 12848, 29064, 18, 42438, 42932, 10824, 1423, 22599, 867, 16, 374, 16, 334, 33043, 3352, 16, 13465, 1161, 27268, 30516, 11048, 18, 2046, 349, 2184, 1329, 322, 29876, 18, 478, 10245, 348, 2005, 8231, 381, 2204, 5534, 17343, 697, 6814, 16, 11940, 281, 44381, 17036, 3662, 10015, 16, 329, 1209, 18474, 322, 502, 374, 18043, 16, 367, 14931, 1633, 2403, 13701, 18, 5257, 374, 5792, 5522, 3361, 294, 44381, 3416, 16, 294, 27469, 13597, 4626, 27100, 8393, 322, 2397, 18, 889, 21624, 660, 25001, 5, 1303, 13425, 14453, 5294, 3793, 1749, 16, 2091, 16, 13173, 16, 374, 1684, 1465, 11864, 281, 17686, 17036, 10015, 910, 510, 2815, 999, 27085, 451, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 39521, 7376, 17016, 7426, 27521, 13789, 14943, 40979, 18491, 1188, 1498, 289, 7491, 2545, 3816, 761, 1817, 20063, 6528, 18, 31224, 30, 29160, 276, 16, 7013, 1733, 1188, 16268, 3276, 16, 18848, 318, 30, 428, 1858, 1852, 8448, 47784, 5172, 1176, 1011, 5019, 30584, 38345, 282, 32712, 17630, 763, 5452, 19751, 18, 608, 5452, 19751, 43037, 549, 2782, 42049, 16, 29143, 2630, 16, 294, 1420, 1833, 575, 6924, 15096, 14440, 1749, 18, 439, 4836, 510, 678, 2397, 2990, 12570, 282, 10296, 16, 282, 6588, 360, 14943, 40979, 18, 439, 282, 1205, 37965, 10144, 16, 827, 694, 322, 3411, 42871, 344, 5001, 376, 502, 694, 7012, 289, 322, 6040, 18, 415, 970, 575, 16, 374, 4302, 13500, 281, 12070, 40979, 282, 10296, 322, 27827, 1269, 445, 46557, 289, 282, 36153, 289, 282, 31029, 4830, 18, 824, 14371, 492, 12570, 322, 895, 18, 9584, 2332, 1047, 31041, 322, 840, 18, 22054, 14133, 315, 5143, 4749, 290, 1634, 21460, 4678, 282, 1500, 2083, 16, 785, 42843, 360, 919, 937, 38171, 11923, 16, 5452, 19751, 1833, 575, 29280, 555, 11357, 5368, 1962, 509, 536, 24038, 16, 289, 640, 8614, 1147, 1441, 4128, 428, 17, 299, 47765, 2904, 28546, 294, 1190, 18, 37588, 481, 840, 867, 1033, 7339, 16, 3387, 3253, 20957, 343, 40979, 5067, 16, 282, 4784, 17, 299, 16, 827, 289, 322, 1381, 555, 16, 502, 2756, 48768, 18, 640, 7266, 986, 1177, 23024, 2548, 2697, 2361, 289, 502, 575, 16, 367, 7183, 25595, 305, 29511, 1437, 18, 1178, 3741, 29511, 1437, 1003, 376, 502, 1003, 289, 1126, 853, 8705, 309, 24268, 607, 349, 501, 452, 361, 19424, 324, 16, 1548, 374, 289, 453, 7735, 5416, 16, 374, 492, 21269, 18, 5452, 19751, 16, 428, 289, 33520, 4749, 349, 1420, 15726, 38085, 1624, 16835, 2319, 428, 31685, 3952, 12522, 281, 23062, 16, 3857, 282, 13090, 2728, 281, 12373, 2324, 539, 8149, 3586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 510, 9848, 1176, 411, 994, 13499, 18, 2112, 1660, 14928, 1970, 873, 20635, 4110, 2979, 48970, 296, 932, 18, 478, 789, 13110, 2023, 16, 374, 3621, 18, 365, 31797, 5726, 322, 18783, 820, 467, 289, 5726, 322, 8712, 467, 18, 1303, 8811, 38557, 3775, 9625, 10203, 353, 289, 14309, 30842, 18, 1303, 7312, 3215, 2443, 275, 6009, 16, 7012, 2038, 322, 3049, 395, 2625, 18, 740, 475, 3066, 12960, 910, 510, 9848, 478, 46088, 18, 8381, 470, 17872, 1770, 1509, 18, 1572, 3720, 999, 27085, 451, 18, 4059, 355, 14434, 282, 2083, 21546, 39877, 492, 6820, 349, 22008, 12380, 289, 22626, 349, 41771, 14815, 1974, 281, 14120, 12420, 11228, 16338, 18, 46036, 17, 35662, 755, 1770, 1509, 18, 1572, 5585, 17186, 13465, 401, 281, 4079, 49033, 349, 12127, 18, 1253, 3365, 290, 4053, 22666, 289, 309, 1360, 7759, 282, 10249, 3043, 6915, 8495, 30, 478, 1140, 813, 8272, 1684, 1465, 18, 21203, 14824, 10195, 20635, 4110, 309, 7422, 12444, 12380, 18, 1397, 19547, 651, 322, 6597, 2419, 18, 18619, 8272, 1684, 1465, 329, 3338, 42770, 18, 1012, 315, 3231, 475, 18, 439, 1314, 2710, 17, 299, 35682, 1749, 282, 634, 6784, 9523, 329, 3212, 7428, 18, 640, 864, 6737, 5953, 17, 34600, 20467, 289, 16884, 5794, 18, 33374, 802, 40122, 2979, 18, 1303, 20549, 396, 5034, 448, 1101, 651, 12751, 18, 25310, 651, 49977, 13453, 396, 13526, 32187, 342, 18128, 16, 2076, 5039, 16795, 6948, 287, 42438, 264, 6318, 16, 11809, 37130, 884, 18, 385, 7681, 2760, 21748, 282, 29064, 18, 37773, 16, 374, 371, 371, 33626, 9718, 802, 44956, 18, 832, 17950, 1967, 47417, 1275, 289, 322, 12083, 861, 365, 352, 47064, 7474, 1212, 18248, 15003, 36762, 49827, 16192, 31432, 13465, 1161, 1188, 10212, 304, 47585, 290, 1708, 339, 322, 673, 332, 34213, 690, 1484, 18, 6592, 14371, 16, 329, 1710, 912, 2852, 2868, 309, 24227, 1335, 24966, 16, 1011, 1660, 1450, 13547, 530, 9940, 7425, 12127, 18, 740, 322, 673, 40534, 978, 16178, 8641, 322, 2397, 3361, 294, 2170, 31504, 1684, 30054, 18, 365, 3781, 17, 12495, 11552, 8231, 334, 27755, 1767, 478, 46088, 18, 8381, 470, 12002, 16, 374, 2204, 6676, 3193, 17897, 282, 4301, 7301, 2198, 14132, 1101, 290, 50128, 282, 7117, 27177, 9802, 18, 7743, 5327, 5153, 2005, 22128, 12512, 477, 25736, 30317, 10015, 18, 824, 23810, 3761, 16, 4498, 3419, 290, 23386, 1033, 828, 1533, 3763, 2791, 18, 478, 822, 5460, 11969, 1743, 322, 2397, 5522, 3361, 294, 29411, 3416, 10015, 510, 21045, 15140, 1623, 1717, 47618, 45432, 783, 910, 510, 9299, 3781, 17, 15975, 18654, 718, 11552, 8231, 16095, 9712, 1549, 770, 18, 365, 8347, 13636, 726, 7134, 14450, 290, 36849, 5585, 43677, 13465, 1161, 294, 45432, 7715, 281, 1087, 8665, 673, 761, 289, 2921, 1082, 12474, 541, 8274, 8393, 282, 13606, 2161, 5706, 18, 824, 2184, 39394, 16, 20974, 17, 35662, 755, 16, 30138, 3319, 18052, 353, 2496, 8243, 7785, 267, 13752, 289, 14886, 16, 8641, 37999, 282, 3106, 7670, 837, 16, 49826, 26353, 8275, 41679, 8520, 8393, 18, 2046, 10211, 2089, 4371, 1055, 2504, 322, 24344, 18, 13925, 9712, 1549, 770, 2815, 16, 374, 371, 1684, 6784, 21359, 23394, 1511, 14768, 624, 898, 678, 1067, 1007, 1033, 2555, 13241, 355, 16, 35462, 4779, 12915, 17, 314, 5388, 2325, 1082, 16, 478, 4743, 5429, 16, 541, 14412, 367, 2549, 910, 3110, 6080, 478, 13261, 861, 45598, 16, 374, 1717, 1205, 2158, 1770, 1509, 18, 1572, 371, 12278, 11131, 478, 26145, 749, 21939, 470, 4732, 49233, 19311, 31446, 4559, 290, 22005, 282, 25982, 3819, 16367, 680, 6233, 18, 365, 3560, 35025, 1967, 6059, 378, 4083, 272, 16833, 294, 1190, 2076, 5039, 16795, 6948, 287, 282, 16526, 18175, 9543, 42438, 42932, 1624, 1029, 16, 334, 722, 3163, 16, 22080, 1450, 1974, 281, 14049, 12848, 29064, 18, 42438, 42932, 10824, 1423, 22599, 867, 16, 374, 16, 334, 33043, 3352, 16, 13465, 1161, 27268, 30516, 11048, 18, 2046, 349, 2184, 1329, 322, 29876, 18, 478, 10245, 348, 2005, 8231, 381, 2204, 5534, 17343, 697, 6814, 16, 11940, 281, 44381, 17036, 3662, 10015, 16, 329, 1209, 18474, 322, 502, 374, 18043, 16, 367, 14931, 1633, 2403, 13701, 18, 5257, 374, 5792, 5522, 3361, 294, 44381, 3416, 16, 294, 27469, 13597, 4626, 27100, 8393, 322, 2397, 18, 889, 21624, 660, 25001, 5, 1303, 13425, 14453, 5294, 3793, 1749, 16, 2091, 16, 13173, 16, 374, 1684, 1465, 11864, 281, 17686, 17036, 10015, 910, 510, 2815, 999, 27085, 451, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 39521, 7376, 17016, 7426, 27521, 13789, 14943, 40979, 18491, 1188, 1498, 289, 7491, 2545, 3816, 761, 1817, 20063, 6528, 18, 31224, 30, 29160, 276, 16, 7013, 1733, 1188, 16268, 3276, 16, 18848, 318, 30, 428, 1858, 1852, 8448, 47784, 5172, 1176, 1011, 5019, 30584, 38345, 282, 32712, 17630, 763, 5452, 19751, 18, 608, 5452, 19751, 43037, 549, 2782, 42049, 16, 29143, 2630, 16, 294, 1420, 1833, 575, 6924, 15096, 14440, 1749, 18, 439, 4836, 510, 678, 2397, 2990, 12570, 282, 10296, 16, 282, 6588, 360, 14943, 40979, 18, 439, 282, 1205, 37965, 10144, 16, 827, 694, 322, 3411, 42871, 344, 5001, 376, 502, 694, 7012, 289, 322, 6040, 18, 415, 970, 575, 16, 374, 4302, 13500, 281, 12070, 40979, 282, 10296, 322, 27827, 1269, 445, 46557, 289, 282, 36153, 289, 282, 31029, 4830, 18, 824, 14371, 492, 12570, 322, 895, 18, 9584, 2332, 1047, 31041, 322, 840, 18, 22054, 14133, 315, 5143, 4749, 290, 1634, 21460, 4678, 282, 1500, 2083, 16, 785, 42843, 360, 919, 937, 38171, 11923, 16, 5452, 19751, 1833, 575, 29280, 555, 11357, 5368, 1962, 509, 536, 24038, 16, 289, 640, 8614, 1147, 1441, 4128, 428, 17, 299, 47765, 2904, 28546, 294, 1190, 18, 37588, 481, 840, 867, 1033, 7339, 16, 3387, 3253, 20957, 343, 40979, 5067, 16, 282, 4784, 17, 299, 16, 827, 289, 322, 1381, 555, 16, 502, 2756, 48768, 18, 640, 7266, 986, 1177, 23024, 2548, 2697, 2361, 289, 502, 575, 16, 367, 7183, 25595, 305, 29511, 1437, 18, 1178, 3741, 29511, 1437, 1003, 376, 502, 1003, 289, 1126, 853, 8705, 309, 24268, 607, 349, 501, 452, 361, 19424, 324, 16, 1548, 374, 289, 453, 7735, 5416, 16, 374, 492, 21269, 18, 5452, 19751, 16, 428, 289, 33520, 4749, 349, 1420, 15726, 38085, 1624, 16835, 2319, 428, 31685, 3952, 12522, 281, 23062, 16, 3857, 282, 13090, 2728, 281, 12373, 2324, 539, 8149, 3586 ]
[ 16, 10938, 354, 1639, 282, 1175, 3716, 2525, 324, 30, 8773, 16, 6438, 289, 2222, 10647, 18, 42843, 575, 9280, 30962, 1507, 396, 11340, 1066, 16, 367, 1542, 9200, 282, 1175, 3084, 10938, 548, 282, 12373, 2324, 547, 12071, 1745, 322, 2397, 18, 1665, 581, 16, 1215, 11340, 783, 18, 3138, 1005, 783, 510, 4702, 18, 459, 374, 35, 11966, 16, 6556, 16, 1269, 986, 2056, 3171, 17686, 4552, 46793, 16, 4703, 1882, 26637, 34566, 16, 828, 1135, 16, 1029, 25349, 360, 11019, 281, 3781, 323, 16, 15804, 16, 374, 492, 583, 1190, 30159, 18, 439, 1215, 3586, 16, 961, 7013, 467, 1188, 7004, 758, 7491, 7771, 16, 2319, 428, 1033, 15949, 18, 1735, 42843, 23474, 439, 19027, 4920, 16, 4845, 262, 16, 6001, 328, 289, 30903, 18, 459, 8856, 17379, 3525, 3440, 5600, 1135, 18, 23624, 11033, 360, 13554, 16, 374, 481, 15769, 26032, 16677, 21030, 3040, 3951, 40979, 510, 502, 912, 16, 1749, 16, 3279, 492, 583, 30586, 2764, 18, 2949, 978, 16, 42843, 17296, 10662, 1299, 16, 2710, 47084, 18048, 745, 36896, 18, 365, 970, 2875, 16, 7089, 16, 282, 6493, 761, 2165, 18, 1178, 23067, 3400, 1512, 309, 505, 24268, 5868, 281, 7396, 1215, 10515, 3334, 9433, 353, 16, 502, 9307, 8206, 30840, 35566, 2370, 18, 832, 895, 2174, 21994, 539, 3400, 1512, 16520, 2174, 9405, 3400, 5752, 18, 439, 481, 12054, 1829, 282, 47419, 292, 22144, 18, 3739, 16, 2091, 16, 3813, 373, 8670, 16, 309, 374, 1655, 15769, 2764, 16, 827, 3665, 16, 374, 42843, 322, 895, 12570, 282, 10296, 18, 3510, 309, 3614, 19424, 324, 2654, 453, 289, 9921, 30, 478, 7148, 1826, 927, 30183, 334, 50177, 954, 14943, 40979, 282, 32712, 861, 2787, 912, 16, 1749, 33394, 19199, 3236, 16, 3387, 26184, 506, 492, 322, 895, 18, 365, 7705, 50024, 11828, 2407, 481, 7291, 30, 478, 6890, 1235, 16253, 16, 502, 912, 5153, 2357, 30269, 11244, 670, 23513, 3018, 309, 43136, 14461, 6929, 44002, 670, 20232, 917, 9556, 339, 861, 1367, 1496, 289, 20232, 1070, 9556, 339, 44043, 18, 365, 457, 6397, 1138, 478, 682, 1083, 2110, 33402, 470, 5548, 6181, 7545, 416, 29562, 478, 16443, 355, 42843, 7281, 11558, 309, 3586, 16, 935, 309, 4289, 3914, 448, 861, 985, 6096, 42843, 7281, 11558, 309, 3586, 16, 656, 6418, 7150, 5548, 16, 282, 22449, 34533, 16, 988, 492, 8116, 6381, 294, 28312, 22065, 478, 822, 25590, 470, 28505, 5987, 286, 2818, 289, 18546, 14912, 282, 1078, 309, 1653, 16, 374, 1500, 2963, 4897, 329, 19424, 324, 18, 439, 4897, 5987, 16671, 2963, 1717, 381, 4599, 40979, 294, 34400, 282, 10296, 17630, 763, 5452, 19751, 18, 11966, 16, 8055, 975, 1055, 7908, 18, 4530, 867, 16, 808, 13122, 12144, 376, 519, 17420, 27803, 416, 14016, 5702, 5004, 16, 367, 726, 1314, 24610, 1565, 7871, 1183, 294, 640, 8614, 1147, 1143, 16, 828, 294, 5452, 19751, 16, 371, 3221, 38848, 3582, 431, 9674, 20216, 32134, 45971, 19420, 18, 8353, 276, 309, 3586, 6453, 16, 289, 827, 745, 322, 1747, 40751, 282, 13673, 1293, 8560, 376, 502, 935, 827, 14513, 502, 3240, 478, 47728, 262, 910, 290, 2114, 6949, 7191, 332, 24365, 15763, 401, 1624, 640, 8614, 1147, 2650, 726, 322, 6721, 18, 3747, 282, 23336, 417, 16, 20082, 16, 322, 12236, 18, 2, 1, 87, 1456, 81, 2448, 30, 43589, 38003, 22403, 567, 2992, 445, 9410, 30346, 16445, 5937, 20665, 282, 33288, 1034, 24347, 4640, 464, 18, 365, 23376, 10546, 8187, 343, 2422, 8625, 1154, 15481, 294, 8568, 25231, 2151, 640, 16, 16150, 2733, 2175, 20928, 13660, 9795, 8323, 1188, 478, 730, 303, 363, 5409, 648, 470, 1492, 31224, 30, 30787, 309, 475, 12980, 27465, 25467, 1787, 15073, 38003, 293, 1161, 12095, 25815, 9518, 12543, 322, 2384, 4334, 14378, 22941, 282, 36798, 20536, 478, 35546, 4603, 1880, 910, 367, 16445, 13402, 6250, 620, 9044, 478, 24339, 470, 282, 1034, 24347, 4640, 464, 18, 365, 6104, 1045, 678, 10313, 4583, 1336, 8955, 16, 1684, 25474, 282, 23376, 4239, 14036, 27538, 24009, 18, 1598, 478, 273, 8076, 11102, 21031, 36719, 470, 8909, 25615, 309, 1739, 522, 635, 478, 672, 350, 466, 910, 45957, 2733, 2175, 43178, 2110, 4975, 334, 6020, 536, 1040, 2675, 2422, 16, 1029, 27349, 6608, 15174, 309, 20511, 12013, 5670, 18, 2667, 9258, 2545, 4466, 282, 1034, 24347, 4640, 464, 1789, 466, 3711, 26833, 506, 1248, 1421, 8111, 448, 3437, 14860, 1505, 5790, 18, 640, 19078, 4183, 9872, 4774, 342, 678, 5505, 6915, 18653, 1742, 45147, 16, 367, 2512, 42100, 332, 24216, 10989, 27756, 313, 11118, 1624, 439, 392, 9359, 289, 3596, 454, 1040, 712, 9787, 538, 454, 403, 41899, 18, 6644, 445, 38003, 22403, 46777, 977, 567, 2992, 4623, 473, 418, 9155, 281, 3291, 7379, 4521, 2558, 555, 722, 519, 3298, 17, 296, 1532, 343, 934, 515, 282, 15614, 6031, 38651, 4605, 18, 27213, 7739, 2203, 15073, 334, 5251, 1918, 294, 8568, 25231, 2151, 640, 322, 685, 2733, 1174, 307, 11835, 18, 7879, 16438, 687, 1272, 478, 273, 1166, 399, 525, 470, 9746, 34940, 586, 1167, 283, 17, 12003, 7543, 289, 504, 871, 307, 6452, 6339, 17, 563, 1191, 267, 16, 367, 1038, 10403, 403, 6397, 401, 18, 2775, 4749, 7732, 8187, 343, 2422, 1413, 455, 3240, 22940, 15481, 5854, 2827, 1681, 404, 24833, 416, 16, 48253, 2852, 14010, 3536, 282, 3709, 411, 4601, 291, 16, 515, 322, 1033, 18, 365, 4722, 445, 38003, 22403, 289, 2151, 19553, 309, 11526, 1555, 20996, 24453, 16, 289, 1655, 11854, 343, 2498, 14851, 24872, 539, 13270, 282, 23708, 962, 18, 2667, 1335, 12159, 678, 46621, 1472, 10384, 14010, 3536, 282, 4256, 38369, 16, 289, 2391, 2504, 322, 12377, 16, 374, 2151, 640, 18880, 305, 6633, 11471, 454, 478, 1567, 43323, 470, 651, 1286, 30, 22, 16, 1286, 30, 22, 18, 2046, 11959, 2948, 17099, 9691, 1011, 3217, 24872, 416, 32325, 1645, 334, 17, 6093, 282, 4356, 11854, 382, 651, 1488, 30, 25, 16, 282, 970, 2875, 309, 12095, 464, 651, 491, 30, 21, 18, 18826, 12969, 4693, 449, 1736, 301, 349, 7023, 4196, 268, 2127, 42251, 16, 38003, 22403, 2742, 10927, 4965, 267, 23091, 315, 18, 1253, 1373, 575, 13721, 332, 316, 1532, 273, 16, 367, 2512, 424, 28403, 8423, 1423, 4674, 1616, 18, 2151, 309, 24708, 24367, 22474, 309, 1360, 48728, 16, 289, 722, 11222, 282, 6031, 14694, 294, 764, 6661, 316, 1532, 454, 15073, 18, 2046, 5957, 294, 8568, 19305, 797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10938, 354, 1639, 282, 1175, 3716, 2525, 324, 30, 8773, 16, 6438, 289, 2222, 10647, 18, 42843, 575, 9280, 30962, 1507, 396, 11340, 1066, 16, 367, 1542, 9200, 282, 1175, 3084, 10938, 548, 282, 12373, 2324, 547, 12071, 1745, 322, 2397, 18, 1665, 581, 16, 1215, 11340, 783, 18, 3138, 1005, 783, 510, 4702, 18, 459, 374, 35, 11966, 16, 6556, 16, 1269, 986, 2056, 3171, 17686, 4552, 46793, 16, 4703, 1882, 26637, 34566, 16, 828, 1135, 16, 1029, 25349, 360, 11019, 281, 3781, 323, 16, 15804, 16, 374, 492, 583, 1190, 30159, 18, 439, 1215, 3586, 16, 961, 7013, 467, 1188, 7004, 758, 7491, 7771, 16, 2319, 428, 1033, 15949, 18, 1735, 42843, 23474, 439, 19027, 4920, 16, 4845, 262, 16, 6001, 328, 289, 30903, 18, 459, 8856, 17379, 3525, 3440, 5600, 1135, 18, 23624, 11033, 360, 13554, 16, 374, 481, 15769, 26032, 16677, 21030, 3040, 3951, 40979, 510, 502, 912, 16, 1749, 16, 3279, 492, 583, 30586, 2764, 18, 2949, 978, 16, 42843, 17296, 10662, 1299, 16, 2710, 47084, 18048, 745, 36896, 18, 365, 970, 2875, 16, 7089, 16, 282, 6493, 761, 2165, 18, 1178, 23067, 3400, 1512, 309, 505, 24268, 5868, 281, 7396, 1215, 10515, 3334, 9433, 353, 16, 502, 9307, 8206, 30840, 35566, 2370, 18, 832, 895, 2174, 21994, 539, 3400, 1512, 16520, 2174, 9405, 3400, 5752, 18, 439, 481, 12054, 1829, 282, 47419, 292, 22144, 18, 3739, 16, 2091, 16, 3813, 373, 8670, 16, 309, 374, 1655, 15769, 2764, 16, 827, 3665, 16, 374, 42843, 322, 895, 12570, 282, 10296, 18, 3510, 309, 3614, 19424, 324, 2654, 453, 289, 9921, 30, 478, 7148, 1826, 927, 30183, 334, 50177, 954, 14943, 40979, 282, 32712, 861, 2787, 912, 16, 1749, 33394, 19199, 3236, 16, 3387, 26184, 506, 492, 322, 895, 18, 365, 7705, 50024, 11828, 2407, 481, 7291, 30, 478, 6890, 1235, 16253, 16, 502, 912, 5153, 2357, 30269, 11244, 670, 23513, 3018, 309, 43136, 14461, 6929, 44002, 670, 20232, 917, 9556, 339, 861, 1367, 1496, 289, 20232, 1070, 9556, 339, 44043, 18, 365, 457, 6397, 1138, 478, 682, 1083, 2110, 33402, 470, 5548, 6181, 7545, 416, 29562, 478, 16443, 355, 42843, 7281, 11558, 309, 3586, 16, 935, 309, 4289, 3914, 448, 861, 985, 6096, 42843, 7281, 11558, 309, 3586, 16, 656, 6418, 7150, 5548, 16, 282, 22449, 34533, 16, 988, 492, 8116, 6381, 294, 28312, 22065, 478, 822, 25590, 470, 28505, 5987, 286, 2818, 289, 18546, 14912, 282, 1078, 309, 1653, 16, 374, 1500, 2963, 4897, 329, 19424, 324, 18, 439, 4897, 5987, 16671, 2963, 1717, 381, 4599, 40979, 294, 34400, 282, 10296, 17630, 763, 5452, 19751, 18, 11966, 16, 8055, 975, 1055, 7908, 18, 4530, 867, 16, 808, 13122, 12144, 376, 519, 17420, 27803, 416, 14016, 5702, 5004, 16, 367, 726, 1314, 24610, 1565, 7871, 1183, 294, 640, 8614, 1147, 1143, 16, 828, 294, 5452, 19751, 16, 371, 3221, 38848, 3582, 431, 9674, 20216, 32134, 45971, 19420, 18, 8353, 276, 309, 3586, 6453, 16, 289, 827, 745, 322, 1747, 40751, 282, 13673, 1293, 8560, 376, 502, 935, 827, 14513, 502, 3240, 478, 47728, 262, 910, 290, 2114, 6949, 7191, 332, 24365, 15763, 401, 1624, 640, 8614, 1147, 2650, 726, 322, 6721, 18, 3747, 282, 23336, 417, 16, 20082, 16, 322, 12236, 18, 2, 1, 87, 1456, 81, 2448, 30, 43589, 38003, 22403, 567, 2992, 445, 9410, 30346, 16445, 5937, 20665, 282, 33288, 1034, 24347, 4640, 464, 18, 365, 23376, 10546, 8187, 343, 2422, 8625, 1154, 15481, 294, 8568, 25231, 2151, 640, 16, 16150, 2733, 2175, 20928, 13660, 9795, 8323, 1188, 478, 730, 303, 363, 5409, 648, 470, 1492, 31224, 30, 30787, 309, 475, 12980, 27465, 25467, 1787, 15073, 38003, 293, 1161, 12095, 25815, 9518, 12543, 322, 2384, 4334, 14378, 22941, 282, 36798, 20536, 478, 35546, 4603, 1880, 910, 367, 16445, 13402, 6250, 620, 9044, 478, 24339, 470, 282, 1034, 24347, 4640, 464, 18, 365, 6104, 1045, 678, 10313, 4583, 1336, 8955, 16, 1684, 25474, 282, 23376, 4239, 14036, 27538, 24009, 18, 1598, 478, 273, 8076, 11102, 21031, 36719, 470, 8909, 25615, 309, 1739, 522, 635, 478, 672, 350, 466, 910, 45957, 2733, 2175, 43178, 2110, 4975, 334, 6020, 536, 1040, 2675, 2422, 16, 1029, 27349, 6608, 15174, 309, 20511, 12013, 5670, 18, 2667, 9258, 2545, 4466, 282, 1034, 24347, 4640, 464, 1789, 466, 3711, 26833, 506, 1248, 1421, 8111, 448, 3437, 14860, 1505, 5790, 18, 640, 19078, 4183, 9872, 4774, 342, 678, 5505, 6915, 18653, 1742, 45147, 16, 367, 2512, 42100, 332, 24216, 10989, 27756, 313, 11118, 1624, 439, 392, 9359, 289, 3596, 454, 1040, 712, 9787, 538, 454, 403, 41899, 18, 6644, 445, 38003, 22403, 46777, 977, 567, 2992, 4623, 473, 418, 9155, 281, 3291, 7379, 4521, 2558, 555, 722, 519, 3298, 17, 296, 1532, 343, 934, 515, 282, 15614, 6031, 38651, 4605, 18, 27213, 7739, 2203, 15073, 334, 5251, 1918, 294, 8568, 25231, 2151, 640, 322, 685, 2733, 1174, 307, 11835, 18, 7879, 16438, 687, 1272, 478, 273, 1166, 399, 525, 470, 9746, 34940, 586, 1167, 283, 17, 12003, 7543, 289, 504, 871, 307, 6452, 6339, 17, 563, 1191, 267, 16, 367, 1038, 10403, 403, 6397, 401, 18, 2775, 4749, 7732, 8187, 343, 2422, 1413, 455, 3240, 22940, 15481, 5854, 2827, 1681, 404, 24833, 416, 16, 48253, 2852, 14010, 3536, 282, 3709, 411, 4601, 291, 16, 515, 322, 1033, 18, 365, 4722, 445, 38003, 22403, 289, 2151, 19553, 309, 11526, 1555, 20996, 24453, 16, 289, 1655, 11854, 343, 2498, 14851, 24872, 539, 13270, 282, 23708, 962, 18, 2667, 1335, 12159, 678, 46621, 1472, 10384, 14010, 3536, 282, 4256, 38369, 16, 289, 2391, 2504, 322, 12377, 16, 374, 2151, 640, 18880, 305, 6633, 11471, 454, 478, 1567, 43323, 470, 651, 1286, 30, 22, 16, 1286, 30, 22, 18, 2046, 11959, 2948, 17099, 9691, 1011, 3217, 24872, 416, 32325, 1645, 334, 17, 6093, 282, 4356, 11854, 382, 651, 1488, 30, 25, 16, 282, 970, 2875, 309, 12095, 464, 651, 491, 30, 21, 18, 18826, 12969, 4693, 449, 1736, 301, 349, 7023, 4196, 268, 2127, 42251, 16, 38003, 22403, 2742, 10927, 4965, 267, 23091, 315, 18, 1253, 1373, 575, 13721, 332, 316, 1532, 273, 16, 367, 2512, 424, 28403, 8423, 1423, 4674, 1616, 18, 2151, 309, 24708, 24367, 22474, 309, 1360, 48728, 16, 289, 722, 11222, 282, 6031, 14694, 294, 764, 6661, 316, 1532, 454, 15073, 18, 2046, 5957, 294, 8568, 19305, 797 ]
[ 8360, 16, 35435, 332, 16533, 968, 16, 282, 502, 808, 428, 38003, 3899, 272, 2458, 36972, 32239, 651, 502, 4601, 343, 2521, 27685, 39602, 1188, 722, 17192, 16, 502, 14875, 424, 314, 2106, 484, 6476, 18, 2151, 8423, 1272, 14010, 429, 16, 515, 3221, 2795, 2948, 1450, 322, 3225, 18, 11566, 373, 16, 371, 20545, 1032, 30, 22, 16, 47579, 26345, 301, 16, 3539, 5229, 1715, 7109, 1879, 16, 38003, 22403, 11163, 6915, 24877, 16, 515, 282, 38635, 2083, 678, 35435, 332, 14490, 315, 16, 322, 11163, 1162, 371, 803, 3775, 9923, 19959, 18, 999, 1423, 4674, 1616, 678, 38359, 701, 25381, 289, 2558, 555, 2615, 4601, 519, 9764, 651, 1286, 30, 24, 18, 1591, 2992, 4623, 15177, 701, 2117, 519, 4183, 316, 1532, 343, 18, 23103, 1134, 3903, 16, 374, 309, 11854, 454, 46695, 1424, 21828, 360, 2454, 1734, 309, 1040, 464, 5576, 16, 515, 678, 1373, 575, 4881, 13263, 475, 9012, 309, 1177, 2948, 8866, 758, 1307, 292, 2817, 4868, 18, 403, 10037, 15116, 25467, 38003, 293, 1161, 16, 1450, 4056, 3225, 4693, 4674, 1616, 7739, 2203, 16, 481, 4983, 282, 48123, 14010, 482, 18, 2151, 2756, 17132, 13635, 1066, 16, 15414, 506, 282, 3322, 15587, 18160, 289, 46621, 475, 21446, 26345, 460, 16, 367, 281, 2872, 4601, 289, 10133, 651, 816, 30, 26, 567, 2992, 4623, 18, 5333, 2175, 8909, 38003, 22403, 2985, 1154, 16607, 282, 1034, 24347, 4640, 464, 16, 1660, 322, 14985, 7012, 477, 2252, 37808, 440, 7120, 4574, 11800, 282, 6982, 1045, 18, 385, 26915, 520, 678, 2992, 1205, 9410, 44591, 41948, 8955, 289, 309, 478, 22857, 363, 5409, 648, 225, 9519, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 7148, 490, 530, 294, 9747, 6612, 542, 334, 6619, 381, 14617, 488, 553, 3125, 414, 419, 49181, 981, 377, 343, 411, 26303, 282, 6551, 18, 33768, 16, 374, 18952, 5539, 16, 1038, 14818, 424, 22182, 761, 6434, 17846, 14879, 18301, 16, 3012, 3461, 11998, 536, 36587, 5579, 17, 14723, 16, 988, 492, 49441, 349, 46185, 675, 16, 726, 282, 11366, 18, 31224, 30, 677, 26303, 3227, 17091, 1949, 22044, 448, 6612, 542, 334, 6619, 381, 14617, 488, 553, 10716, 626, 2822, 411, 17839, 22661, 13941, 2203, 3125, 414, 419, 49181, 981, 377, 343, 18, 985, 3110, 31244, 17, 14149, 477, 7755, 309, 7620, 29924, 2926, 2553, 16, 16044, 16, 387, 35868, 36015, 12899, 4546, 16, 33647, 309, 10954, 468, 44462, 354, 18, 33768, 16, 374, 41229, 3003, 334, 6619, 381, 14617, 488, 553, 3125, 414, 419, 16, 1881, 2822, 22182, 454, 6434, 17846, 14879, 18301, 16, 840, 7239, 294, 9747, 1335, 5576, 18, 365, 4542, 8165, 15320, 18952, 5539, 16, 1541, 2822, 282, 4092, 37783, 282, 1175, 478, 46143, 1231, 1212, 41464, 910, 322, 1176, 445, 27834, 16, 374, 309, 22993, 981, 377, 454, 27268, 11048, 18, 824, 3163, 727, 2869, 40200, 37173, 42861, 16, 3125, 26608, 895, 11060, 3124, 3341, 1876, 349, 1617, 16020, 12658, 18, 2263, 6434, 17846, 14879, 18301, 282, 4542, 6612, 883, 1038, 322, 445, 3153, 16, 374, 478, 275, 1175, 2693, 322, 6232, 577, 910, 10050, 24036, 478, 26627, 17, 818, 17, 440, 861, 832, 27604, 981, 377, 343, 17234, 25567, 23466, 289, 505, 4411, 16974, 18, 5043, 16, 26923, 1133, 37972, 9597, 726, 322, 445, 7863, 3670, 16, 374, 7187, 373, 11033, 360, 3125, 414, 419, 428, 942, 3848, 18, 21552, 24001, 26303, 403, 1578, 385, 1861, 10057, 305, 282, 7337, 30367, 9577, 1918, 1059, 54, 47, 2815, 16, 374, 505, 28402, 478, 28545, 1195, 867, 16, 753, 492, 473, 4529, 11972, 18, 510, 478, 18386, 18, 8381, 9979, 1336, 322, 39554, 861, 889, 7337, 2438, 34156, 541, 32922, 282, 4542, 24807, 8165, 18, 38659, 3125, 414, 419, 37173, 21042, 282, 10666, 24132, 30891, 403, 16005, 309, 27108, 16, 453, 428, 5273, 16, 374, 2891, 7735, 5412, 19412, 505, 424, 10336, 434, 294, 9772, 4121, 553, 18, 5043, 16, 5037, 45046, 419, 309, 12173, 5171, 1247, 23394, 290, 970, 16, 387, 499, 414, 373, 26923, 1133, 2891, 981, 377, 343, 16, 2797, 314, 1452, 315, 9259, 16, 374, 282, 1175, 975, 5564, 530, 3341, 382, 16, 2715, 23379, 18, 2046, 1011, 978, 492, 764, 445, 9299, 10839, 1728, 11413, 16, 33160, 16, 374, 478, 4780, 466, 1223, 37736, 282, 970, 16, 753, 981, 11972, 12993, 445, 9070, 937, 334, 18544, 26303, 861, 34608, 36014, 3125, 414, 419, 329, 26923, 933, 17329, 6431, 2826, 912, 18, 824, 3761, 6233, 16, 981, 11972, 2397, 5502, 16891, 281, 28385, 2990, 287, 9472, 17436, 18, 3791, 8811, 8231, 30937, 16, 374, 28647, 20240, 1510, 12127, 282, 11130, 4479, 779, 3125, 26608, 5053, 16136, 17198, 36445, 281, 40699, 38319, 18, 999, 8597, 539, 27315, 6617, 981, 11972, 726, 7304, 1893, 10504, 22653, 2234, 3017, 18, 824, 3761, 31244, 17, 14149, 16, 3848, 1223, 16, 282, 11366, 16, 785, 9293, 1349, 3017, 12851, 3125, 414, 419, 16, 505, 3012, 3461, 17234, 11998, 536, 36587, 18, 7106, 16, 374, 981, 11972, 685, 22136, 282, 1175, 349, 17035, 448, 46185, 675, 7493, 1970, 1581, 1161, 2630, 282, 5653, 1045, 18, 28616, 25262, 505, 4179, 503, 12414, 1116, 16, 289, 1551, 14212, 14879, 36706, 4686, 282, 17839, 312, 4846, 6246, 7096, 3033, 281, 12625, 536, 44081, 371, 478, 47885, 11594, 861, 4541, 334, 20546, 1016, 14891, 492, 685, 14927, 286, 282, 33853, 13335, 282, 21520, 33796, 2248, 8286, 38920, 1690, 718, 3700, 23856, 1767, 18, 365, 11872, 4479, 779, 981, 11972, 17290, 411, 1335, 27983, 18, 2320, 19645, 282, 31974, 31692, 16, 2686, 20632, 33639, 613, 322, 3225, 18, 365, 25796, 8846, 16, 374, 981, 377, 343, 6418, 502, 282, 3507, 16, 502, 282, 11432, 7511, 400, 16, 988, 492, 8641, 28556, 309, 6814, 13587, 18, 2046, 282, 2343, 5462, 6434, 17846, 14879, 18301, 3696, 811, 282, 26303, 18, 2, 1, 87, 1456, 81, 2448, 30, 36764, 783, 4335, 2044, 10685, 281, 5533, 911, 304, 13282, 44121, 1066, 289, 44872, 2706, 7032, 28154, 29077, 17567, 7085, 41942, 3105, 18, 8353, 28154, 2477, 19886, 32010, 16, 2686, 6382, 3716, 31313, 10493, 18, 31224, 30, 471, 18386, 18, 8381, 470, 1974, 281, 5345, 2389, 282, 1767, 49299, 1991, 501, 22484, 14140, 10526, 282, 42759, 9220, 1027, 5722, 680, 6053, 16, 367, 453, 575, 12369, 16, 453, 520, 40651, 7085, 41942, 3105, 289, 2393, 28154 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8360, 16, 35435, 332, 16533, 968, 16, 282, 502, 808, 428, 38003, 3899, 272, 2458, 36972, 32239, 651, 502, 4601, 343, 2521, 27685, 39602, 1188, 722, 17192, 16, 502, 14875, 424, 314, 2106, 484, 6476, 18, 2151, 8423, 1272, 14010, 429, 16, 515, 3221, 2795, 2948, 1450, 322, 3225, 18, 11566, 373, 16, 371, 20545, 1032, 30, 22, 16, 47579, 26345, 301, 16, 3539, 5229, 1715, 7109, 1879, 16, 38003, 22403, 11163, 6915, 24877, 16, 515, 282, 38635, 2083, 678, 35435, 332, 14490, 315, 16, 322, 11163, 1162, 371, 803, 3775, 9923, 19959, 18, 999, 1423, 4674, 1616, 678, 38359, 701, 25381, 289, 2558, 555, 2615, 4601, 519, 9764, 651, 1286, 30, 24, 18, 1591, 2992, 4623, 15177, 701, 2117, 519, 4183, 316, 1532, 343, 18, 23103, 1134, 3903, 16, 374, 309, 11854, 454, 46695, 1424, 21828, 360, 2454, 1734, 309, 1040, 464, 5576, 16, 515, 678, 1373, 575, 4881, 13263, 475, 9012, 309, 1177, 2948, 8866, 758, 1307, 292, 2817, 4868, 18, 403, 10037, 15116, 25467, 38003, 293, 1161, 16, 1450, 4056, 3225, 4693, 4674, 1616, 7739, 2203, 16, 481, 4983, 282, 48123, 14010, 482, 18, 2151, 2756, 17132, 13635, 1066, 16, 15414, 506, 282, 3322, 15587, 18160, 289, 46621, 475, 21446, 26345, 460, 16, 367, 281, 2872, 4601, 289, 10133, 651, 816, 30, 26, 567, 2992, 4623, 18, 5333, 2175, 8909, 38003, 22403, 2985, 1154, 16607, 282, 1034, 24347, 4640, 464, 16, 1660, 322, 14985, 7012, 477, 2252, 37808, 440, 7120, 4574, 11800, 282, 6982, 1045, 18, 385, 26915, 520, 678, 2992, 1205, 9410, 44591, 41948, 8955, 289, 309, 478, 22857, 363, 5409, 648, 225, 9519, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 7148, 490, 530, 294, 9747, 6612, 542, 334, 6619, 381, 14617, 488, 553, 3125, 414, 419, 49181, 981, 377, 343, 411, 26303, 282, 6551, 18, 33768, 16, 374, 18952, 5539, 16, 1038, 14818, 424, 22182, 761, 6434, 17846, 14879, 18301, 16, 3012, 3461, 11998, 536, 36587, 5579, 17, 14723, 16, 988, 492, 49441, 349, 46185, 675, 16, 726, 282, 11366, 18, 31224, 30, 677, 26303, 3227, 17091, 1949, 22044, 448, 6612, 542, 334, 6619, 381, 14617, 488, 553, 10716, 626, 2822, 411, 17839, 22661, 13941, 2203, 3125, 414, 419, 49181, 981, 377, 343, 18, 985, 3110, 31244, 17, 14149, 477, 7755, 309, 7620, 29924, 2926, 2553, 16, 16044, 16, 387, 35868, 36015, 12899, 4546, 16, 33647, 309, 10954, 468, 44462, 354, 18, 33768, 16, 374, 41229, 3003, 334, 6619, 381, 14617, 488, 553, 3125, 414, 419, 16, 1881, 2822, 22182, 454, 6434, 17846, 14879, 18301, 16, 840, 7239, 294, 9747, 1335, 5576, 18, 365, 4542, 8165, 15320, 18952, 5539, 16, 1541, 2822, 282, 4092, 37783, 282, 1175, 478, 46143, 1231, 1212, 41464, 910, 322, 1176, 445, 27834, 16, 374, 309, 22993, 981, 377, 454, 27268, 11048, 18, 824, 3163, 727, 2869, 40200, 37173, 42861, 16, 3125, 26608, 895, 11060, 3124, 3341, 1876, 349, 1617, 16020, 12658, 18, 2263, 6434, 17846, 14879, 18301, 282, 4542, 6612, 883, 1038, 322, 445, 3153, 16, 374, 478, 275, 1175, 2693, 322, 6232, 577, 910, 10050, 24036, 478, 26627, 17, 818, 17, 440, 861, 832, 27604, 981, 377, 343, 17234, 25567, 23466, 289, 505, 4411, 16974, 18, 5043, 16, 26923, 1133, 37972, 9597, 726, 322, 445, 7863, 3670, 16, 374, 7187, 373, 11033, 360, 3125, 414, 419, 428, 942, 3848, 18, 21552, 24001, 26303, 403, 1578, 385, 1861, 10057, 305, 282, 7337, 30367, 9577, 1918, 1059, 54, 47, 2815, 16, 374, 505, 28402, 478, 28545, 1195, 867, 16, 753, 492, 473, 4529, 11972, 18, 510, 478, 18386, 18, 8381, 9979, 1336, 322, 39554, 861, 889, 7337, 2438, 34156, 541, 32922, 282, 4542, 24807, 8165, 18, 38659, 3125, 414, 419, 37173, 21042, 282, 10666, 24132, 30891, 403, 16005, 309, 27108, 16, 453, 428, 5273, 16, 374, 2891, 7735, 5412, 19412, 505, 424, 10336, 434, 294, 9772, 4121, 553, 18, 5043, 16, 5037, 45046, 419, 309, 12173, 5171, 1247, 23394, 290, 970, 16, 387, 499, 414, 373, 26923, 1133, 2891, 981, 377, 343, 16, 2797, 314, 1452, 315, 9259, 16, 374, 282, 1175, 975, 5564, 530, 3341, 382, 16, 2715, 23379, 18, 2046, 1011, 978, 492, 764, 445, 9299, 10839, 1728, 11413, 16, 33160, 16, 374, 478, 4780, 466, 1223, 37736, 282, 970, 16, 753, 981, 11972, 12993, 445, 9070, 937, 334, 18544, 26303, 861, 34608, 36014, 3125, 414, 419, 329, 26923, 933, 17329, 6431, 2826, 912, 18, 824, 3761, 6233, 16, 981, 11972, 2397, 5502, 16891, 281, 28385, 2990, 287, 9472, 17436, 18, 3791, 8811, 8231, 30937, 16, 374, 28647, 20240, 1510, 12127, 282, 11130, 4479, 779, 3125, 26608, 5053, 16136, 17198, 36445, 281, 40699, 38319, 18, 999, 8597, 539, 27315, 6617, 981, 11972, 726, 7304, 1893, 10504, 22653, 2234, 3017, 18, 824, 3761, 31244, 17, 14149, 16, 3848, 1223, 16, 282, 11366, 16, 785, 9293, 1349, 3017, 12851, 3125, 414, 419, 16, 505, 3012, 3461, 17234, 11998, 536, 36587, 18, 7106, 16, 374, 981, 11972, 685, 22136, 282, 1175, 349, 17035, 448, 46185, 675, 7493, 1970, 1581, 1161, 2630, 282, 5653, 1045, 18, 28616, 25262, 505, 4179, 503, 12414, 1116, 16, 289, 1551, 14212, 14879, 36706, 4686, 282, 17839, 312, 4846, 6246, 7096, 3033, 281, 12625, 536, 44081, 371, 478, 47885, 11594, 861, 4541, 334, 20546, 1016, 14891, 492, 685, 14927, 286, 282, 33853, 13335, 282, 21520, 33796, 2248, 8286, 38920, 1690, 718, 3700, 23856, 1767, 18, 365, 11872, 4479, 779, 981, 11972, 17290, 411, 1335, 27983, 18, 2320, 19645, 282, 31974, 31692, 16, 2686, 20632, 33639, 613, 322, 3225, 18, 365, 25796, 8846, 16, 374, 981, 377, 343, 6418, 502, 282, 3507, 16, 502, 282, 11432, 7511, 400, 16, 988, 492, 8641, 28556, 309, 6814, 13587, 18, 2046, 282, 2343, 5462, 6434, 17846, 14879, 18301, 3696, 811, 282, 26303, 18, 2, 1, 87, 1456, 81, 2448, 30, 36764, 783, 4335, 2044, 10685, 281, 5533, 911, 304, 13282, 44121, 1066, 289, 44872, 2706, 7032, 28154, 29077, 17567, 7085, 41942, 3105, 18, 8353, 28154, 2477, 19886, 32010, 16, 2686, 6382, 3716, 31313, 10493, 18, 31224, 30, 471, 18386, 18, 8381, 470, 1974, 281, 5345, 2389, 282, 1767, 49299, 1991, 501, 22484, 14140, 10526, 282, 42759, 9220, 1027, 5722, 680, 6053, 16, 367, 453, 575, 12369, 16, 453, 520, 40651, 7085, 41942, 3105, 289, 2393, 28154 ]
[ 1952, 18, 7085, 41942, 3105, 309, 9837, 1119, 6917, 24484, 282, 2968, 28154, 320, 1162, 33478, 18, 4988, 4198, 7124, 24353, 510, 7814, 19005, 9536, 289, 12457, 18, 4342, 4248, 17567, 30, 478, 4348, 1279, 7341, 1437, 289, 49099, 16, 961, 18912, 3236, 282, 4772, 18, 1345, 25684, 16, 374, 4772, 1943, 953, 16980, 289, 31556, 541, 1209, 18, 1345, 322, 1763, 3559, 16, 656, 322, 396, 15471, 16, 813, 510, 27366, 4271, 1598, 3989, 11241, 11400, 16, 21489, 38542, 7085, 41942, 3105, 16, 942, 17665, 591, 263, 950, 1130, 40, 14882, 17, 766, 333, 309, 22178, 7257, 16, 4425, 9991, 30149, 1357, 14749, 381, 5184, 1212, 23038, 289, 29853, 8124, 282, 12462, 18, 3739, 3348, 39097, 5348, 7085, 41942, 3105, 2458, 12807, 266, 289, 45764, 29175, 432, 4760, 16, 19393, 4851, 6929, 23361, 264, 17731, 289, 492, 12586, 20968, 6747, 1437, 18, 1483, 4060, 1712, 15849, 5533, 911, 264, 31039, 25672, 309, 19311, 31303, 933, 2067, 636, 1155, 333, 16, 27782, 1639, 2458, 2713, 3595, 289, 41535, 22178, 1833, 4335, 37501, 14210, 933, 2044, 18, 8353, 549, 5722, 1162, 15849, 35244, 19091, 536, 20057, 304, 16, 282, 1420, 898, 44593, 17774, 3402, 45965, 16, 35747, 16, 22707, 17621, 289, 11254, 18, 2263, 5533, 911, 10621, 6053, 322, 1987, 13089, 16, 515, 7190, 3437, 5781, 6271, 16, 2412, 5132, 49299, 1991, 501, 2378, 1330, 16, 13737, 478, 46088, 18, 8381, 910, 428, 289, 2006, 3005, 953, 29346, 4116, 12652, 448, 3193, 39877, 18, 824, 4734, 20148, 8840, 2241, 13949, 17, 45, 38, 29368, 2725, 45615, 1624, 3591, 28154, 320, 1844, 6099, 360, 4999, 505, 3356, 13411, 282, 4542, 30133, 17, 375, 9568, 1321, 19229, 13362, 453, 25168, 5866, 19120, 20157, 18, 1236, 7429, 6946, 697, 16, 12189, 17, 24145, 41160, 285, 10047, 5024, 16, 961, 15715, 9025, 12902, 6342, 6699, 25935, 837, 289, 8659, 505, 46199, 18, 478, 4182, 7967, 16, 3147, 2628, 3089, 289, 32042, 28154, 2477, 16, 4813, 309, 13607, 681, 5619, 381, 697, 5769, 15549, 2739, 16, 470, 510, 2548, 2725, 15226, 18, 8932, 26790, 7341, 16680, 2245, 18975, 1180, 1130, 10238, 48771, 19204, 6096, 8129, 375, 2815, 478, 46088, 18, 8381, 910, 374, 2388, 7365, 448, 3193, 6233, 1279, 7085, 41942, 3105, 505, 1965, 322, 12982, 326, 30, 478, 1916, 333, 1952, 16, 2091, 16, 24360, 1007, 282, 1767, 20419, 3623, 16, 515, 745, 16, 3229, 1223, 16, 1749, 18, 48790, 23843, 36895, 17227, 16, 745, 3005, 26753, 289, 322, 14446, 4612, 309, 2710, 17, 299, 579, 1520, 448, 24822, 18, 2949, 924, 16, 3665, 16, 374, 7190, 7085, 41942, 3105, 322, 445, 590, 636, 6737, 6213, 2702, 21729, 5067, 16, 961, 282, 10719, 18255, 42426, 37972, 9597, 1833, 4335, 10263, 16, 753, 32042, 7117, 21247, 7620, 3463, 18, 6831, 1110, 16, 1085, 3167, 341, 309, 7085, 41942, 3105, 510, 19267, 2145, 16, 3197, 18104, 5397, 2232, 16477, 2145, 16, 24037, 1624, 9808, 1624, 24731, 1624, 5439, 4447, 2044, 289, 3333, 2393, 18, 27294, 7322, 16, 374, 1011, 2567, 12652, 432, 5514, 309, 10337, 448, 289, 2713, 3595, 42036, 334, 4547, 8290, 13607, 4820, 1262, 13487, 687, 1314, 18, 385, 2107, 1963, 16, 7085, 41942, 3105, 3005, 14106, 808, 19302, 3888, 13784, 334, 28629, 1967, 575, 10263, 16, 961, 1314, 5658, 697, 6330, 11923, 17639, 349, 3982, 11889, 1330, 861, 824, 4734, 35585, 22691, 49012, 29850, 17, 49235, 346, 5500, 18504, 77, 17, 49, 565, 19204, 18, 1572, 29368, 44658, 23427, 1624, 33462, 4820, 1262, 28154, 2477, 8056, 4116, 27842, 1548, 16, 374, 697, 34760, 1085, 17, 299, 411, 478, 13775, 408, 11593, 478, 23662, 8670, 16, 374, 439, 315, 307, 597, 1013, 322, 3929, 1904, 36958, 14120, 18, 889, 2702, 47184, 15367, 3463, 1512, 16, 2412, 5800, 40759, 17036, 16, 5219, 1453, 7343, 2181, 7921, 478, 47852, 345, 4248, 429, 861, 365, 2567, 4190, 1976, 319, 26205, 395, 478, 10202, 3002, 470, 334, 8597, 416, 3416, 16, 282, 7544, 309, 17721, 587, 4323, 553, 16, 3057, 16, 349, 6652, 668, 31551, 5768, 670, 50135, 349, 2764, 16, 510, 3147, 26566, 1743, 18, 8269, 16, 374, 282, 1177, 445, 1320, 749, 1511, 1347, 322, 26008, 861, 365, 1078, 309, 11923, 1634, 35681, 1051, 7085, 41942, 3105, 13282, 1130, 40, 14882, 17, 766, 4548, 309, 4788, 5533, 911, 264, 13702, 18, 40207, 84, 908, 18, 4303, 16, 282, 3198, 1660, 1500, 685, 19756, 286, 2364, 1939, 443, 3161, 1879, 16, 374, 1745, 322, 895, 23503, 34880, 536, 478, 1786, 304, 470, 309, 11923, 2706, 35681, 1051, 18, 478, 9489, 2900, 25090, 24164, 1130, 40, 83, 55, 309, 4788, 6506, 4173, 8471, 3848, 1857, 897, 536, 19808, 16, 1727, 8085, 309, 502, 16, 753, 8051, 22300, 16, 374, 439, 315, 307, 597, 1013, 764, 25347, 289, 10432, 8714, 910, 510, 1109, 478, 46088, 18, 8381, 470, 12507, 44658, 4083, 18, 31796, 3416, 3989, 36597, 11400, 7085, 41942, 3105, 10201, 16, 374, 2915, 1130, 40, 14882, 17, 766, 333, 670, 478, 476, 7809, 507, 470, 473, 19051, 1683, 289, 14909, 10095, 12186, 4600, 13, 13859, 5769, 886, 432, 773, 7257, 16, 23361, 264, 17731, 4729, 14886, 289, 7257, 28154, 1952, 322, 27808, 751, 18, 1178, 935, 6917, 24484, 282, 2968, 289, 6917, 6510, 3626, 33478, 28154, 2477, 16, 9600, 16, 322, 9253, 31129, 1423, 16054, 289, 29284, 6506, 21051, 16, 502, 322, 19034, 520, 19408, 6726, 20549, 290, 15116, 30133, 2167, 2105, 1408, 35, 824, 4734, 7725, 1051, 478, 32485, 18, 8381, 910, 1003, 16, 322, 19034, 18, 478, 13931, 22490, 8150, 473, 40, 40, 14882, 17, 766, 3588, 289, 311, 18, 293, 3406, 2559, 273, 1578, 1188, 22147, 21539, 49299, 7027, 298, 995, 1051, 16, 961, 16, 282, 6588, 360, 7085, 41942, 3105, 289, 1888, 28154, 5422, 21456, 5910, 16, 22438, 322, 36732, 460, 1519, 1617, 40301, 542, 18, 35975, 30133, 2167, 2105, 323, 3338, 2868, 1623, 13771, 16253, 282, 24909, 4772, 17, 19602, 11365, 18, 17667, 2005, 4135, 281, 31002, 25736, 19067, 289, 15570, 1562, 4360, 28154, 14958, 567, 1514, 2968, 9038, 10246, 8632, 9180, 448, 9811, 18, 824, 7168, 25036, 16, 687, 17234, 4772, 17, 1024, 1235, 4151, 3225, 282, 6104, 1045, 16705, 649, 1033, 4843, 29, 646, 3763, 910, 2815, 12507, 2725, 15226, 28312, 478, 32485, 18, 8381, 861, 6096, 8129, 375, 411, 1180, 1130, 10238, 48771, 19204, 12557, 281, 867, 16, 374, 13386, 28154, 1952, 1698, 19676, 34787, 16, 367, 322, 39902 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1952, 18, 7085, 41942, 3105, 309, 9837, 1119, 6917, 24484, 282, 2968, 28154, 320, 1162, 33478, 18, 4988, 4198, 7124, 24353, 510, 7814, 19005, 9536, 289, 12457, 18, 4342, 4248, 17567, 30, 478, 4348, 1279, 7341, 1437, 289, 49099, 16, 961, 18912, 3236, 282, 4772, 18, 1345, 25684, 16, 374, 4772, 1943, 953, 16980, 289, 31556, 541, 1209, 18, 1345, 322, 1763, 3559, 16, 656, 322, 396, 15471, 16, 813, 510, 27366, 4271, 1598, 3989, 11241, 11400, 16, 21489, 38542, 7085, 41942, 3105, 16, 942, 17665, 591, 263, 950, 1130, 40, 14882, 17, 766, 333, 309, 22178, 7257, 16, 4425, 9991, 30149, 1357, 14749, 381, 5184, 1212, 23038, 289, 29853, 8124, 282, 12462, 18, 3739, 3348, 39097, 5348, 7085, 41942, 3105, 2458, 12807, 266, 289, 45764, 29175, 432, 4760, 16, 19393, 4851, 6929, 23361, 264, 17731, 289, 492, 12586, 20968, 6747, 1437, 18, 1483, 4060, 1712, 15849, 5533, 911, 264, 31039, 25672, 309, 19311, 31303, 933, 2067, 636, 1155, 333, 16, 27782, 1639, 2458, 2713, 3595, 289, 41535, 22178, 1833, 4335, 37501, 14210, 933, 2044, 18, 8353, 549, 5722, 1162, 15849, 35244, 19091, 536, 20057, 304, 16, 282, 1420, 898, 44593, 17774, 3402, 45965, 16, 35747, 16, 22707, 17621, 289, 11254, 18, 2263, 5533, 911, 10621, 6053, 322, 1987, 13089, 16, 515, 7190, 3437, 5781, 6271, 16, 2412, 5132, 49299, 1991, 501, 2378, 1330, 16, 13737, 478, 46088, 18, 8381, 910, 428, 289, 2006, 3005, 953, 29346, 4116, 12652, 448, 3193, 39877, 18, 824, 4734, 20148, 8840, 2241, 13949, 17, 45, 38, 29368, 2725, 45615, 1624, 3591, 28154, 320, 1844, 6099, 360, 4999, 505, 3356, 13411, 282, 4542, 30133, 17, 375, 9568, 1321, 19229, 13362, 453, 25168, 5866, 19120, 20157, 18, 1236, 7429, 6946, 697, 16, 12189, 17, 24145, 41160, 285, 10047, 5024, 16, 961, 15715, 9025, 12902, 6342, 6699, 25935, 837, 289, 8659, 505, 46199, 18, 478, 4182, 7967, 16, 3147, 2628, 3089, 289, 32042, 28154, 2477, 16, 4813, 309, 13607, 681, 5619, 381, 697, 5769, 15549, 2739, 16, 470, 510, 2548, 2725, 15226, 18, 8932, 26790, 7341, 16680, 2245, 18975, 1180, 1130, 10238, 48771, 19204, 6096, 8129, 375, 2815, 478, 46088, 18, 8381, 910, 374, 2388, 7365, 448, 3193, 6233, 1279, 7085, 41942, 3105, 505, 1965, 322, 12982, 326, 30, 478, 1916, 333, 1952, 16, 2091, 16, 24360, 1007, 282, 1767, 20419, 3623, 16, 515, 745, 16, 3229, 1223, 16, 1749, 18, 48790, 23843, 36895, 17227, 16, 745, 3005, 26753, 289, 322, 14446, 4612, 309, 2710, 17, 299, 579, 1520, 448, 24822, 18, 2949, 924, 16, 3665, 16, 374, 7190, 7085, 41942, 3105, 322, 445, 590, 636, 6737, 6213, 2702, 21729, 5067, 16, 961, 282, 10719, 18255, 42426, 37972, 9597, 1833, 4335, 10263, 16, 753, 32042, 7117, 21247, 7620, 3463, 18, 6831, 1110, 16, 1085, 3167, 341, 309, 7085, 41942, 3105, 510, 19267, 2145, 16, 3197, 18104, 5397, 2232, 16477, 2145, 16, 24037, 1624, 9808, 1624, 24731, 1624, 5439, 4447, 2044, 289, 3333, 2393, 18, 27294, 7322, 16, 374, 1011, 2567, 12652, 432, 5514, 309, 10337, 448, 289, 2713, 3595, 42036, 334, 4547, 8290, 13607, 4820, 1262, 13487, 687, 1314, 18, 385, 2107, 1963, 16, 7085, 41942, 3105, 3005, 14106, 808, 19302, 3888, 13784, 334, 28629, 1967, 575, 10263, 16, 961, 1314, 5658, 697, 6330, 11923, 17639, 349, 3982, 11889, 1330, 861, 824, 4734, 35585, 22691, 49012, 29850, 17, 49235, 346, 5500, 18504, 77, 17, 49, 565, 19204, 18, 1572, 29368, 44658, 23427, 1624, 33462, 4820, 1262, 28154, 2477, 8056, 4116, 27842, 1548, 16, 374, 697, 34760, 1085, 17, 299, 411, 478, 13775, 408, 11593, 478, 23662, 8670, 16, 374, 439, 315, 307, 597, 1013, 322, 3929, 1904, 36958, 14120, 18, 889, 2702, 47184, 15367, 3463, 1512, 16, 2412, 5800, 40759, 17036, 16, 5219, 1453, 7343, 2181, 7921, 478, 47852, 345, 4248, 429, 861, 365, 2567, 4190, 1976, 319, 26205, 395, 478, 10202, 3002, 470, 334, 8597, 416, 3416, 16, 282, 7544, 309, 17721, 587, 4323, 553, 16, 3057, 16, 349, 6652, 668, 31551, 5768, 670, 50135, 349, 2764, 16, 510, 3147, 26566, 1743, 18, 8269, 16, 374, 282, 1177, 445, 1320, 749, 1511, 1347, 322, 26008, 861, 365, 1078, 309, 11923, 1634, 35681, 1051, 7085, 41942, 3105, 13282, 1130, 40, 14882, 17, 766, 4548, 309, 4788, 5533, 911, 264, 13702, 18, 40207, 84, 908, 18, 4303, 16, 282, 3198, 1660, 1500, 685, 19756, 286, 2364, 1939, 443, 3161, 1879, 16, 374, 1745, 322, 895, 23503, 34880, 536, 478, 1786, 304, 470, 309, 11923, 2706, 35681, 1051, 18, 478, 9489, 2900, 25090, 24164, 1130, 40, 83, 55, 309, 4788, 6506, 4173, 8471, 3848, 1857, 897, 536, 19808, 16, 1727, 8085, 309, 502, 16, 753, 8051, 22300, 16, 374, 439, 315, 307, 597, 1013, 764, 25347, 289, 10432, 8714, 910, 510, 1109, 478, 46088, 18, 8381, 470, 12507, 44658, 4083, 18, 31796, 3416, 3989, 36597, 11400, 7085, 41942, 3105, 10201, 16, 374, 2915, 1130, 40, 14882, 17, 766, 333, 670, 478, 476, 7809, 507, 470, 473, 19051, 1683, 289, 14909, 10095, 12186, 4600, 13, 13859, 5769, 886, 432, 773, 7257, 16, 23361, 264, 17731, 4729, 14886, 289, 7257, 28154, 1952, 322, 27808, 751, 18, 1178, 935, 6917, 24484, 282, 2968, 289, 6917, 6510, 3626, 33478, 28154, 2477, 16, 9600, 16, 322, 9253, 31129, 1423, 16054, 289, 29284, 6506, 21051, 16, 502, 322, 19034, 520, 19408, 6726, 20549, 290, 15116, 30133, 2167, 2105, 1408, 35, 824, 4734, 7725, 1051, 478, 32485, 18, 8381, 910, 1003, 16, 322, 19034, 18, 478, 13931, 22490, 8150, 473, 40, 40, 14882, 17, 766, 3588, 289, 311, 18, 293, 3406, 2559, 273, 1578, 1188, 22147, 21539, 49299, 7027, 298, 995, 1051, 16, 961, 16, 282, 6588, 360, 7085, 41942, 3105, 289, 1888, 28154, 5422, 21456, 5910, 16, 22438, 322, 36732, 460, 1519, 1617, 40301, 542, 18, 35975, 30133, 2167, 2105, 323, 3338, 2868, 1623, 13771, 16253, 282, 24909, 4772, 17, 19602, 11365, 18, 17667, 2005, 4135, 281, 31002, 25736, 19067, 289, 15570, 1562, 4360, 28154, 14958, 567, 1514, 2968, 9038, 10246, 8632, 9180, 448, 9811, 18, 824, 7168, 25036, 16, 687, 17234, 4772, 17, 1024, 1235, 4151, 3225, 282, 6104, 1045, 16705, 649, 1033, 4843, 29, 646, 3763, 910, 2815, 12507, 2725, 15226, 28312, 478, 32485, 18, 8381, 861, 6096, 8129, 375, 411, 1180, 1130, 10238, 48771, 19204, 12557, 281, 867, 16, 374, 13386, 28154, 1952, 1698, 19676, 34787, 16, 367, 322, 39902 ]
[ 10460, 11048, 30, 478, 40, 40, 83, 55, 289, 2393, 15031, 14640, 649, 2768, 4600, 289, 23361, 17731, 651, 481, 764, 322, 3240, 20184, 16, 374, 895, 18520, 18, 38792, 2913, 968, 901, 626, 3352, 289, 4760, 16, 961, 16, 281, 2059, 1963, 16, 1747, 33102, 15905, 22300, 16, 367, 16, 281, 2107, 16, 30477, 5067, 670, 36819, 16, 961, 349, 2089, 4371, 6354, 10728, 18692, 18, 25285, 36009, 16, 3057, 16, 1379, 3859, 7314, 1234, 30151, 24703, 27954, 18, 1012, 575, 322, 11655, 16, 374, 1759, 5825, 16, 1586, 24046, 332, 1122, 16, 29960, 1472, 282, 3477, 13983, 22515, 18, 439, 11526, 564, 10933, 21723, 281, 25875, 34246, 920, 8317, 47486, 14886, 289, 385, 13164, 17, 48756, 9393, 9983, 24035, 27186, 510, 2433, 924, 16, 374, 16705, 649, 942, 10536, 16, 935, 9814, 37098, 16, 4371, 18, 889, 2805, 44737, 371, 29302, 2702, 31354, 416, 4096, 282, 2968, 18, 985, 387, 11655, 16, 374, 15583, 281, 7307, 16, 827, 2471, 988, 17, 1796, 24046, 577, 20423, 5771, 14840, 26642, 1673, 1491, 8112, 1624, 2657, 9626, 7410, 5439, 13613, 16, 281, 23579, 45550, 2678, 14574, 294, 9526, 43016, 37828, 35, 17369, 322, 687, 16987, 15506, 510, 3237, 1578, 14440, 9080, 541, 29647, 28397, 289, 14922, 12142, 861, 2, 1, 87, 1456, 81, 2448, 30, 682, 3174, 39529, 349, 15740, 9007, 10358, 1481, 350, 434, 7321, 2438, 4307, 390, 18, 15066, 15102, 26119, 14900, 4770, 18, 824, 4676, 7705, 25295, 434, 19986, 349, 15740, 9007, 10358, 26191, 942, 15989, 282, 19189, 309, 5270, 986, 18, 31224, 30, 22681, 6370, 16640, 14900, 19048, 16, 30149, 413, 1815, 13742, 349, 15740, 1481, 350, 434, 7321, 18, 824, 1097, 22897, 31498, 44346, 289, 2726, 16336, 9007, 11536, 26191, 942, 282, 7207, 687, 422, 18, 2123, 21, 11828, 473, 32058, 6037, 539, 5942, 6135, 934, 10663, 31423, 282, 3106, 15857, 11923, 519, 7518, 4776, 18, 365, 49399, 912, 422, 18, 2418, 18, 21, 510, 28405, 44694, 3416, 749, 7233, 8314, 670, 749, 18362, 9959, 473, 326, 2099, 3199, 934, 6342, 3308, 41693, 10556, 6508, 4118, 17540, 4317, 384, 3324, 2634, 2791, 18, 6592, 8031, 1876, 31980, 16, 961, 492, 7316, 282, 39309, 491, 4238, 16, 282, 11828, 840, 7969, 11891, 2123, 21, 18, 22, 473, 32058, 6037, 448, 8967, 289, 11506, 22193, 7113, 9806, 814, 25497, 22193, 7113, 9806, 1844, 6566, 1481, 31654, 12417, 670, 282, 5324, 4772, 16, 5938, 28607, 16, 13619, 2444, 10556, 304, 519, 6957, 2634, 2791, 16, 8842, 758, 35287, 360, 21268, 519, 34308, 3139, 16, 11176, 979, 8124, 519, 6566, 986, 670, 4336, 979, 8124, 309, 3017, 519, 3437, 986, 18, 1178, 9007, 11267, 1481, 38514, 4211, 35708, 8907, 5103, 4786, 289, 492, 45403, 1450, 478, 1259, 262, 16987, 4388, 910, 13742, 840, 4307, 390, 510, 10556, 519, 9433, 2791, 670, 49660, 8124, 309, 5270, 986, 281, 6524, 2840, 36222, 18, 365, 49399, 1038, 840, 7316, 798, 7969, 11891, 2418, 18, 21, 473, 32058, 6037, 448, 8967, 289, 11506, 22193, 7113, 9806, 814, 999, 11506, 22193, 7113, 9806, 1844, 39145, 12417, 25358, 3247, 1747, 6541, 318, 10556, 304, 816, 443, 25, 2634, 2791, 16, 2993, 8340, 3247, 510, 2555, 443, 3324, 2634, 2791, 16, 367, 40367, 510, 360, 17427, 2634, 519, 430, 3763, 2791, 18, 19813, 482, 9058, 1133, 40794, 289, 1500, 7679, 1250, 16, 329, 1639, 1003, 25801, 22773, 16, 1038, 1747, 10556, 1086, 18, 999, 8597, 668, 15740, 3513, 482, 9058, 933, 568, 755, 289, 11506, 26345, 1027, 309, 1500, 7679, 28951, 2762, 23967, 15434, 1441, 36089, 491, 443, 24, 5600, 2791, 16, 2993, 8340, 3247, 651, 2555, 443, 3324, 2634, 2791, 16, 40367, 651, 6957, 443, 23419, 2634, 2791, 18, 1178, 8739, 18688, 309, 2923, 1481, 31654, 12417, 16, 502, 40367, 3247, 15434, 18692, 360, 7593, 519, 6957, 2634, 2791, 36222, 18, 478, 1182, 2216, 6792, 1568, 14127, 309, 33063, 8217, 349, 8597, 448, 15740, 289, 11506, 22193, 7113, 9806, 289, 309, 12846, 26280, 2134, 746, 835, 5634, 1627, 4946, 289, 29924, 14820, 282, 8384, 281, 7396, 25993, 19690, 8895, 910, 510, 5130, 282, 9907, 3781, 17, 14130, 21569, 18, 365, 4437, 27299, 49800, 1038, 13462, 16, 374, 4871, 36954, 16, 3210, 16, 8341, 289, 28485, 1562, 349, 3455, 282, 1481, 350, 547, 24642, 18, 365, 803, 1045, 5120, 616, 2389, 1101, 290, 28284, 1207, 27305, 536, 26191, 282, 30383, 2458, 25545, 4490, 8811, 17981, 289, 13587, 18, 365, 1750, 5129, 334, 2856, 6619, 16, 309, 505, 6367, 7969, 9427, 5241, 798, 322, 840, 16, 3387, 40042, 3941, 4247, 687, 518, 14471, 16, 961, 6645, 5832, 13742, 18, 2949, 924, 16, 4770, 1133, 26119, 30149, 5832, 13742, 349, 17664, 285, 2127, 5998, 18, 365, 4810, 16, 10901, 3250, 334, 422, 18, 44447, 473, 293, 10097, 448, 40608, 294, 2966, 3707, 17664, 16458, 3416, 934, 422, 18, 4039, 22, 18, 21, 473, 11619, 4504, 17664, 28651, 15948, 934, 422, 18, 4039, 22, 18, 22, 18, 473, 11619, 4504, 3416, 17664, 16458, 3320, 13, 11828, 37440, 26697, 478, 32562, 1453, 9515, 470, 23424, 519, 1533, 986, 18, 4794, 26119, 16640, 7316, 478, 267, 39692, 9461, 289, 20264, 282, 5975, 808, 17209, 17664, 16458, 43598, 861, 2, 1, 87, 1456, 81, 2448, 30, 4182, 537, 19610, 38368, 16, 12753, 33281, 656, 7835, 1953, 538, 18, 21883, 14660, 1133, 4701, 1747, 27830, 2870, 968, 16, 2686, 12412, 475, 764, 8633, 309, 3147, 20201, 547, 5066, 18, 37730, 1527, 34049, 2500, 9007, 1701, 530, 11132, 16, 515, 29098, 447, 8070, 1662, 1557, 31540, 19643, 289, 9342, 3328, 26169, 567, 2992, 11053, 13420, 5576, 18, 31224, 30, 677, 10882, 16, 491, 3597, 16, 294, 4650, 536, 14510, 395, 39193, 5791, 9139, 847, 23337, 451, 12370, 9839, 766, 1822, 6507, 18457, 15969, 18, 1598, 17, 431, 978, 1137, 5090, 29352, 9496, 16, 17119, 7760, 18222, 13768, 34049, 16, 515, 34691, 426, 305, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 5426, 19988, 4668, 27, 655, 15, 2783, 5448, 563, 16, 367, 7760, 4668, 1618, 655, 15, 5493, 5448, 563, 18, 23544, 4650, 451, 16, 9265, 17, 14099, 451, 16, 519, 1488, 308, 19, 267, 18, 981, 25062, 3716, 38905, 16, 1409, 6427, 6322, 941, 266, 18, 422, 18, 3782, 551, 1555, 36332, 289, 28511, 10940, 309, 816, 3597, 18, 365, 11877, 18457, 2221, 50234, 3187, 2234, 5549, 16, 515, 31704, 1011, 965, 37649, 448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10460, 11048, 30, 478, 40, 40, 83, 55, 289, 2393, 15031, 14640, 649, 2768, 4600, 289, 23361, 17731, 651, 481, 764, 322, 3240, 20184, 16, 374, 895, 18520, 18, 38792, 2913, 968, 901, 626, 3352, 289, 4760, 16, 961, 16, 281, 2059, 1963, 16, 1747, 33102, 15905, 22300, 16, 367, 16, 281, 2107, 16, 30477, 5067, 670, 36819, 16, 961, 349, 2089, 4371, 6354, 10728, 18692, 18, 25285, 36009, 16, 3057, 16, 1379, 3859, 7314, 1234, 30151, 24703, 27954, 18, 1012, 575, 322, 11655, 16, 374, 1759, 5825, 16, 1586, 24046, 332, 1122, 16, 29960, 1472, 282, 3477, 13983, 22515, 18, 439, 11526, 564, 10933, 21723, 281, 25875, 34246, 920, 8317, 47486, 14886, 289, 385, 13164, 17, 48756, 9393, 9983, 24035, 27186, 510, 2433, 924, 16, 374, 16705, 649, 942, 10536, 16, 935, 9814, 37098, 16, 4371, 18, 889, 2805, 44737, 371, 29302, 2702, 31354, 416, 4096, 282, 2968, 18, 985, 387, 11655, 16, 374, 15583, 281, 7307, 16, 827, 2471, 988, 17, 1796, 24046, 577, 20423, 5771, 14840, 26642, 1673, 1491, 8112, 1624, 2657, 9626, 7410, 5439, 13613, 16, 281, 23579, 45550, 2678, 14574, 294, 9526, 43016, 37828, 35, 17369, 322, 687, 16987, 15506, 510, 3237, 1578, 14440, 9080, 541, 29647, 28397, 289, 14922, 12142, 861, 2, 1, 87, 1456, 81, 2448, 30, 682, 3174, 39529, 349, 15740, 9007, 10358, 1481, 350, 434, 7321, 2438, 4307, 390, 18, 15066, 15102, 26119, 14900, 4770, 18, 824, 4676, 7705, 25295, 434, 19986, 349, 15740, 9007, 10358, 26191, 942, 15989, 282, 19189, 309, 5270, 986, 18, 31224, 30, 22681, 6370, 16640, 14900, 19048, 16, 30149, 413, 1815, 13742, 349, 15740, 1481, 350, 434, 7321, 18, 824, 1097, 22897, 31498, 44346, 289, 2726, 16336, 9007, 11536, 26191, 942, 282, 7207, 687, 422, 18, 2123, 21, 11828, 473, 32058, 6037, 539, 5942, 6135, 934, 10663, 31423, 282, 3106, 15857, 11923, 519, 7518, 4776, 18, 365, 49399, 912, 422, 18, 2418, 18, 21, 510, 28405, 44694, 3416, 749, 7233, 8314, 670, 749, 18362, 9959, 473, 326, 2099, 3199, 934, 6342, 3308, 41693, 10556, 6508, 4118, 17540, 4317, 384, 3324, 2634, 2791, 18, 6592, 8031, 1876, 31980, 16, 961, 492, 7316, 282, 39309, 491, 4238, 16, 282, 11828, 840, 7969, 11891, 2123, 21, 18, 22, 473, 32058, 6037, 448, 8967, 289, 11506, 22193, 7113, 9806, 814, 25497, 22193, 7113, 9806, 1844, 6566, 1481, 31654, 12417, 670, 282, 5324, 4772, 16, 5938, 28607, 16, 13619, 2444, 10556, 304, 519, 6957, 2634, 2791, 16, 8842, 758, 35287, 360, 21268, 519, 34308, 3139, 16, 11176, 979, 8124, 519, 6566, 986, 670, 4336, 979, 8124, 309, 3017, 519, 3437, 986, 18, 1178, 9007, 11267, 1481, 38514, 4211, 35708, 8907, 5103, 4786, 289, 492, 45403, 1450, 478, 1259, 262, 16987, 4388, 910, 13742, 840, 4307, 390, 510, 10556, 519, 9433, 2791, 670, 49660, 8124, 309, 5270, 986, 281, 6524, 2840, 36222, 18, 365, 49399, 1038, 840, 7316, 798, 7969, 11891, 2418, 18, 21, 473, 32058, 6037, 448, 8967, 289, 11506, 22193, 7113, 9806, 814, 999, 11506, 22193, 7113, 9806, 1844, 39145, 12417, 25358, 3247, 1747, 6541, 318, 10556, 304, 816, 443, 25, 2634, 2791, 16, 2993, 8340, 3247, 510, 2555, 443, 3324, 2634, 2791, 16, 367, 40367, 510, 360, 17427, 2634, 519, 430, 3763, 2791, 18, 19813, 482, 9058, 1133, 40794, 289, 1500, 7679, 1250, 16, 329, 1639, 1003, 25801, 22773, 16, 1038, 1747, 10556, 1086, 18, 999, 8597, 668, 15740, 3513, 482, 9058, 933, 568, 755, 289, 11506, 26345, 1027, 309, 1500, 7679, 28951, 2762, 23967, 15434, 1441, 36089, 491, 443, 24, 5600, 2791, 16, 2993, 8340, 3247, 651, 2555, 443, 3324, 2634, 2791, 16, 40367, 651, 6957, 443, 23419, 2634, 2791, 18, 1178, 8739, 18688, 309, 2923, 1481, 31654, 12417, 16, 502, 40367, 3247, 15434, 18692, 360, 7593, 519, 6957, 2634, 2791, 36222, 18, 478, 1182, 2216, 6792, 1568, 14127, 309, 33063, 8217, 349, 8597, 448, 15740, 289, 11506, 22193, 7113, 9806, 289, 309, 12846, 26280, 2134, 746, 835, 5634, 1627, 4946, 289, 29924, 14820, 282, 8384, 281, 7396, 25993, 19690, 8895, 910, 510, 5130, 282, 9907, 3781, 17, 14130, 21569, 18, 365, 4437, 27299, 49800, 1038, 13462, 16, 374, 4871, 36954, 16, 3210, 16, 8341, 289, 28485, 1562, 349, 3455, 282, 1481, 350, 547, 24642, 18, 365, 803, 1045, 5120, 616, 2389, 1101, 290, 28284, 1207, 27305, 536, 26191, 282, 30383, 2458, 25545, 4490, 8811, 17981, 289, 13587, 18, 365, 1750, 5129, 334, 2856, 6619, 16, 309, 505, 6367, 7969, 9427, 5241, 798, 322, 840, 16, 3387, 40042, 3941, 4247, 687, 518, 14471, 16, 961, 6645, 5832, 13742, 18, 2949, 924, 16, 4770, 1133, 26119, 30149, 5832, 13742, 349, 17664, 285, 2127, 5998, 18, 365, 4810, 16, 10901, 3250, 334, 422, 18, 44447, 473, 293, 10097, 448, 40608, 294, 2966, 3707, 17664, 16458, 3416, 934, 422, 18, 4039, 22, 18, 21, 473, 11619, 4504, 17664, 28651, 15948, 934, 422, 18, 4039, 22, 18, 22, 18, 473, 11619, 4504, 3416, 17664, 16458, 3320, 13, 11828, 37440, 26697, 478, 32562, 1453, 9515, 470, 23424, 519, 1533, 986, 18, 4794, 26119, 16640, 7316, 478, 267, 39692, 9461, 289, 20264, 282, 5975, 808, 17209, 17664, 16458, 43598, 861, 2, 1, 87, 1456, 81, 2448, 30, 4182, 537, 19610, 38368, 16, 12753, 33281, 656, 7835, 1953, 538, 18, 21883, 14660, 1133, 4701, 1747, 27830, 2870, 968, 16, 2686, 12412, 475, 764, 8633, 309, 3147, 20201, 547, 5066, 18, 37730, 1527, 34049, 2500, 9007, 1701, 530, 11132, 16, 515, 29098, 447, 8070, 1662, 1557, 31540, 19643, 289, 9342, 3328, 26169, 567, 2992, 11053, 13420, 5576, 18, 31224, 30, 677, 10882, 16, 491, 3597, 16, 294, 4650, 536, 14510, 395, 39193, 5791, 9139, 847, 23337, 451, 12370, 9839, 766, 1822, 6507, 18457, 15969, 18, 1598, 17, 431, 978, 1137, 5090, 29352, 9496, 16, 17119, 7760, 18222, 13768, 34049, 16, 515, 34691, 426, 305, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 5426, 19988, 4668, 27, 655, 15, 2783, 5448, 563, 16, 367, 7760, 4668, 1618, 655, 15, 5493, 5448, 563, 18, 23544, 4650, 451, 16, 9265, 17, 14099, 451, 16, 519, 1488, 308, 19, 267, 18, 981, 25062, 3716, 38905, 16, 1409, 6427, 6322, 941, 266, 18, 422, 18, 3782, 551, 1555, 36332, 289, 28511, 10940, 309, 816, 3597, 18, 365, 11877, 18457, 2221, 50234, 3187, 2234, 5549, 16, 515, 31704, 1011, 965, 37649, 448 ]
[ 34049, 16, 282, 5344, 7760, 18, 6682, 31800, 37816, 12459, 492, 1038, 478, 431, 50168, 470, 16092, 281, 1807, 18, 1598, 17, 431, 978, 12412, 7097, 31211, 847, 18, 365, 4810, 16, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 3420, 655, 15, 5759, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 23714, 16, 1409, 9348, 6322, 941, 266, 18, 422, 18, 7914, 16, 1085, 9170, 726, 309, 39793, 17527, 282, 5482, 16, 309, 42452, 4085, 4472, 1042, 16, 5878, 339, 16, 374, 282, 803, 1045, 4424, 8078, 2001, 840, 3542, 13234, 322, 282, 5487, 16741, 3597, 16, 428, 475, 17573, 16, 367, 567, 43655, 510, 1533, 443, 3572, 3597, 18, 2080, 1414, 400, 9288, 19056, 639, 16, 1548, 374, 492, 32151, 281, 8078, 30774, 617, 282, 8384, 281, 39468, 18, 35378, 13159, 5970, 2353, 19486, 16, 374, 411, 17, 431, 36458, 432, 9870, 281, 1912, 18, 3161, 519, 2511, 18, 6427, 840, 12497, 299, 5922, 334, 1681, 10202, 368, 380, 1147, 24052, 454, 360, 4891, 45126, 519, 5573, 346, 4845, 718, 590, 16556, 18, 365, 11084, 16, 1032, 3597, 16, 1195, 1964, 1305, 2983, 847, 3806, 11972, 2221, 18, 817, 309, 1176, 11299, 2961, 17471, 23337, 539, 11440, 16, 2486, 282, 1177, 1119, 14481, 1409, 9247, 6322, 941, 266, 18, 422, 2211, 367, 411, 17, 431, 924, 16, 374, 17395, 840, 18054, 289, 36776, 16, 5471, 19976, 2597, 1740, 7097, 18, 27247, 16, 9705, 16, 12412, 840, 1574, 575, 16, 428, 289, 282, 11877, 16, 4668, 28, 655, 15, 4234, 5448, 563, 18, 439, 7760, 4275, 412, 3847, 29865, 726, 4668, 2692, 655, 15, 6091, 5448, 563, 289, 9265, 17, 14099, 451, 6978, 473, 23, 443, 28, 308, 19, 267, 814, 10085, 8468, 541, 924, 16, 753, 6622, 1177, 1119, 281, 17914, 478, 563, 2226, 1162, 32148, 910, 289, 322, 10771, 1048, 18, 4246, 27323, 16, 10691, 349, 19092, 322, 1381, 5, 2681, 1032, 3597, 289, 687, 281, 1912, 18, 646, 519, 1912, 18, 5041, 29098, 447, 1698, 26873, 11815, 6684, 15250, 7719, 477, 1223, 2422, 282, 25350, 1053, 1165, 9092, 18, 8033, 16, 25800, 1574, 30, 282, 4874, 582, 34268, 42675, 12727, 411, 9893, 16, 282, 478, 780, 2774, 263, 913, 470, 510, 24393, 473, 2824, 373, 282, 1047, 282, 7204, 1750, 537, 35104, 13, 289, 29010, 1133, 23326, 4607, 16, 282, 478, 43859, 21564, 452, 470, 510, 9248, 427, 18, 365, 17062, 478, 13555, 549, 23918, 465, 470, 27797, 11815, 37377, 411, 37971, 864, 287, 16, 282, 478, 684, 2774, 3223, 268, 1165, 470, 510, 411, 22256, 16, 282, 14126, 773, 18, 3495, 24990, 31834, 35312, 411, 16145, 18, 17102, 20491, 345, 2234, 12727, 840, 282, 478, 684, 10667, 40515, 910, 1122, 19988, 12750, 37377, 411, 48432, 18, 365, 47969, 45884, 12773, 2270, 927, 26873, 35312, 411, 16899, 16, 282, 478, 3127, 1394, 873, 315, 470, 510, 411, 15783, 16, 367, 282, 478, 44641, 380, 7478, 470, 42675, 35312, 1760, 24, 17, 361, 29635, 41924, 718, 10881, 44096, 18190, 10881, 18, 640, 46430, 416, 575, 7906, 840, 12750, 23187, 37377, 35058, 773, 18, 7838, 718, 17, 9865, 267, 12568, 18, 365, 2615, 1119, 4676, 5576, 5343, 12146, 282, 26611, 2095, 19449, 4477, 1822, 6507, 18457, 15969, 18, 17942, 523, 360, 19627, 718, 20543, 4040, 1143, 16, 17119, 16, 14612, 5426, 289, 282, 4056, 11053, 2299, 16, 2076, 762, 3231, 34049, 18, 3557, 322, 2619, 6531, 322, 4040, 29753, 1617, 6688, 30, 5426, 19988, 4668, 2479, 655, 15, 3114, 5448, 563, 16, 7760, 1061, 3597, 4668, 2692, 655, 15, 6091, 5448, 563, 18, 23544, 282, 10666, 1299, 529, 298, 14704, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 34767, 16, 1409, 9348, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 1286, 3597, 16, 281, 18183, 23337, 434, 13223, 473, 267, 1553, 519, 39271, 6322, 941, 266, 18, 422, 3406, 282, 1137, 2466, 25986, 22362, 20085, 2166, 18, 49277, 622, 42243, 50004, 309, 1003, 16, 515, 664, 546, 452, 305, 18, 981, 16, 481, 492, 16, 1500, 3560, 8970, 1119, 282, 1045, 16, 785, 942, 25952, 28663, 29940, 16, 515, 4618, 575, 1218, 947, 345, 3589, 36311, 539, 15860, 16, 670, 2173, 34813, 3564, 5663, 16, 670, 374, 1122, 329, 1304, 912, 411, 16244, 14788, 9233, 18, 2124, 18467, 29461, 7964, 30, 282, 32157, 808, 9909, 19988, 4668, 28, 655, 15, 4234, 5448, 563, 16, 282, 38940, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 365, 9937, 16, 1409, 3597, 16, 282, 27817, 5791, 840, 1399, 3194, 5980, 13777, 1137, 6150, 474, 2608, 289, 2870, 758, 7218, 758, 1648, 4887, 14838, 522, 3806, 11972, 15969, 18, 817, 3085, 3213, 16907, 539, 473, 27, 3324, 6322, 941, 266, 18, 422, 3406, 11440, 16, 367, 1215, 28092, 16, 6891, 16, 31211, 341, 18, 996, 16, 5426, 840, 4668, 26, 655, 15, 3572, 5448, 563, 16, 367, 7760, 4668, 2783, 655, 15, 3420, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 18, 2949, 924, 16, 7760, 19107, 10906, 46730, 289, 567, 2992, 11053, 2299, 8192, 6197, 11511, 18, 1178, 282, 6598, 5993, 742, 16, 502, 2805, 6494, 14942, 4251, 294, 2222, 16, 753, 492, 322, 16454, 271, 18, 7699, 8947, 39593, 453, 22023, 478, 7779, 280, 620, 1409, 3597, 11593, 4652, 1248, 5284, 1011, 2742, 34765, 21465, 277, 360, 23219, 282, 2615, 8462, 670, 360, 5790, 477, 5993, 758, 11206, 38214, 45635, 16, 29007, 11047, 839, 595, 307, 16, 367, 322, 11321, 1510, 670, 360, 560, 273, 1510, 360, 47052, 349, 12753, 15057, 11278, 6369, 10919, 281, 3376, 18, 32067, 6847, 16215, 3108, 16, 38883, 30839, 16, 49322, 23801, 16, 37478, 7496, 7142, 18, 640, 16522, 636, 475, 481, 35403, 322, 12916, 2175, 16, 374, 764, 7081, 28198, 18477, 18, 365, 4784, 16, 7155, 26722, 2523, 3098, 18, 4185, 505, 42252, 16, 8876, 45119, 7015, 808, 10919, 15358, 1143, 1612, 309, 5974, 16, 37566, 12703, 1830, 373, 2393, 16, 3013, 273, 14791, 18477, 16, 5511, 39233, 309, 37503, 7570, 289, 13254, 349, 45203, 8393, 18, 391, 538, 31408, 840, 289, 21137, 39108, 34765, 282, 4837, 29810, 16, 3057, 942, 7945, 39909, 3182, 411, 1634, 31319, 2252 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34049, 16, 282, 5344, 7760, 18, 6682, 31800, 37816, 12459, 492, 1038, 478, 431, 50168, 470, 16092, 281, 1807, 18, 1598, 17, 431, 978, 12412, 7097, 31211, 847, 18, 365, 4810, 16, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 3420, 655, 15, 5759, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 23714, 16, 1409, 9348, 6322, 941, 266, 18, 422, 18, 7914, 16, 1085, 9170, 726, 309, 39793, 17527, 282, 5482, 16, 309, 42452, 4085, 4472, 1042, 16, 5878, 339, 16, 374, 282, 803, 1045, 4424, 8078, 2001, 840, 3542, 13234, 322, 282, 5487, 16741, 3597, 16, 428, 475, 17573, 16, 367, 567, 43655, 510, 1533, 443, 3572, 3597, 18, 2080, 1414, 400, 9288, 19056, 639, 16, 1548, 374, 492, 32151, 281, 8078, 30774, 617, 282, 8384, 281, 39468, 18, 35378, 13159, 5970, 2353, 19486, 16, 374, 411, 17, 431, 36458, 432, 9870, 281, 1912, 18, 3161, 519, 2511, 18, 6427, 840, 12497, 299, 5922, 334, 1681, 10202, 368, 380, 1147, 24052, 454, 360, 4891, 45126, 519, 5573, 346, 4845, 718, 590, 16556, 18, 365, 11084, 16, 1032, 3597, 16, 1195, 1964, 1305, 2983, 847, 3806, 11972, 2221, 18, 817, 309, 1176, 11299, 2961, 17471, 23337, 539, 11440, 16, 2486, 282, 1177, 1119, 14481, 1409, 9247, 6322, 941, 266, 18, 422, 2211, 367, 411, 17, 431, 924, 16, 374, 17395, 840, 18054, 289, 36776, 16, 5471, 19976, 2597, 1740, 7097, 18, 27247, 16, 9705, 16, 12412, 840, 1574, 575, 16, 428, 289, 282, 11877, 16, 4668, 28, 655, 15, 4234, 5448, 563, 18, 439, 7760, 4275, 412, 3847, 29865, 726, 4668, 2692, 655, 15, 6091, 5448, 563, 289, 9265, 17, 14099, 451, 6978, 473, 23, 443, 28, 308, 19, 267, 814, 10085, 8468, 541, 924, 16, 753, 6622, 1177, 1119, 281, 17914, 478, 563, 2226, 1162, 32148, 910, 289, 322, 10771, 1048, 18, 4246, 27323, 16, 10691, 349, 19092, 322, 1381, 5, 2681, 1032, 3597, 289, 687, 281, 1912, 18, 646, 519, 1912, 18, 5041, 29098, 447, 1698, 26873, 11815, 6684, 15250, 7719, 477, 1223, 2422, 282, 25350, 1053, 1165, 9092, 18, 8033, 16, 25800, 1574, 30, 282, 4874, 582, 34268, 42675, 12727, 411, 9893, 16, 282, 478, 780, 2774, 263, 913, 470, 510, 24393, 473, 2824, 373, 282, 1047, 282, 7204, 1750, 537, 35104, 13, 289, 29010, 1133, 23326, 4607, 16, 282, 478, 43859, 21564, 452, 470, 510, 9248, 427, 18, 365, 17062, 478, 13555, 549, 23918, 465, 470, 27797, 11815, 37377, 411, 37971, 864, 287, 16, 282, 478, 684, 2774, 3223, 268, 1165, 470, 510, 411, 22256, 16, 282, 14126, 773, 18, 3495, 24990, 31834, 35312, 411, 16145, 18, 17102, 20491, 345, 2234, 12727, 840, 282, 478, 684, 10667, 40515, 910, 1122, 19988, 12750, 37377, 411, 48432, 18, 365, 47969, 45884, 12773, 2270, 927, 26873, 35312, 411, 16899, 16, 282, 478, 3127, 1394, 873, 315, 470, 510, 411, 15783, 16, 367, 282, 478, 44641, 380, 7478, 470, 42675, 35312, 1760, 24, 17, 361, 29635, 41924, 718, 10881, 44096, 18190, 10881, 18, 640, 46430, 416, 575, 7906, 840, 12750, 23187, 37377, 35058, 773, 18, 7838, 718, 17, 9865, 267, 12568, 18, 365, 2615, 1119, 4676, 5576, 5343, 12146, 282, 26611, 2095, 19449, 4477, 1822, 6507, 18457, 15969, 18, 17942, 523, 360, 19627, 718, 20543, 4040, 1143, 16, 17119, 16, 14612, 5426, 289, 282, 4056, 11053, 2299, 16, 2076, 762, 3231, 34049, 18, 3557, 322, 2619, 6531, 322, 4040, 29753, 1617, 6688, 30, 5426, 19988, 4668, 2479, 655, 15, 3114, 5448, 563, 16, 7760, 1061, 3597, 4668, 2692, 655, 15, 6091, 5448, 563, 18, 23544, 282, 10666, 1299, 529, 298, 14704, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 34767, 16, 1409, 9348, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 1286, 3597, 16, 281, 18183, 23337, 434, 13223, 473, 267, 1553, 519, 39271, 6322, 941, 266, 18, 422, 3406, 282, 1137, 2466, 25986, 22362, 20085, 2166, 18, 49277, 622, 42243, 50004, 309, 1003, 16, 515, 664, 546, 452, 305, 18, 981, 16, 481, 492, 16, 1500, 3560, 8970, 1119, 282, 1045, 16, 785, 942, 25952, 28663, 29940, 16, 515, 4618, 575, 1218, 947, 345, 3589, 36311, 539, 15860, 16, 670, 2173, 34813, 3564, 5663, 16, 670, 374, 1122, 329, 1304, 912, 411, 16244, 14788, 9233, 18, 2124, 18467, 29461, 7964, 30, 282, 32157, 808, 9909, 19988, 4668, 28, 655, 15, 4234, 5448, 563, 16, 282, 38940, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 365, 9937, 16, 1409, 3597, 16, 282, 27817, 5791, 840, 1399, 3194, 5980, 13777, 1137, 6150, 474, 2608, 289, 2870, 758, 7218, 758, 1648, 4887, 14838, 522, 3806, 11972, 15969, 18, 817, 3085, 3213, 16907, 539, 473, 27, 3324, 6322, 941, 266, 18, 422, 3406, 11440, 16, 367, 1215, 28092, 16, 6891, 16, 31211, 341, 18, 996, 16, 5426, 840, 4668, 26, 655, 15, 3572, 5448, 563, 16, 367, 7760, 4668, 2783, 655, 15, 3420, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 18, 2949, 924, 16, 7760, 19107, 10906, 46730, 289, 567, 2992, 11053, 2299, 8192, 6197, 11511, 18, 1178, 282, 6598, 5993, 742, 16, 502, 2805, 6494, 14942, 4251, 294, 2222, 16, 753, 492, 322, 16454, 271, 18, 7699, 8947, 39593, 453, 22023, 478, 7779, 280, 620, 1409, 3597, 11593, 4652, 1248, 5284, 1011, 2742, 34765, 21465, 277, 360, 23219, 282, 2615, 8462, 670, 360, 5790, 477, 5993, 758, 11206, 38214, 45635, 16, 29007, 11047, 839, 595, 307, 16, 367, 322, 11321, 1510, 670, 360, 560, 273, 1510, 360, 47052, 349, 12753, 15057, 11278, 6369, 10919, 281, 3376, 18, 32067, 6847, 16215, 3108, 16, 38883, 30839, 16, 49322, 23801, 16, 37478, 7496, 7142, 18, 640, 16522, 636, 475, 481, 35403, 322, 12916, 2175, 16, 374, 764, 7081, 28198, 18477, 18, 365, 4784, 16, 7155, 26722, 2523, 3098, 18, 4185, 505, 42252, 16, 8876, 45119, 7015, 808, 10919, 15358, 1143, 1612, 309, 5974, 16, 37566, 12703, 1830, 373, 2393, 16, 3013, 273, 14791, 18477, 16, 5511, 39233, 309, 37503, 7570, 289, 13254, 349, 45203, 8393, 18, 391, 538, 31408, 840, 289, 21137, 39108, 34765, 282, 4837, 29810, 16, 3057, 942, 7945, 39909, 3182, 411, 1634, 31319, 2252 ]
[ 670, 29872, 319, 1261, 7392, 15358, 15067, 14079, 16, 961, 975, 19357, 16, 3057, 16, 18992, 31358, 6780, 18, 365, 11946, 16, 1488, 3597, 16, 309, 8011, 16907, 434, 473, 27, 9247, 6322, 941, 266, 18, 422, 3406, 23337, 434, 13223, 334, 2923, 1767, 8192, 18817, 23337, 451, 12370, 18, 25740, 1137, 695, 16, 281, 20085, 39369, 16, 294, 18328, 10802, 549, 1137, 5090, 16, 14612, 5426, 289, 282, 4056, 11053, 2299, 13768, 34049, 18, 36748, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 2783, 655, 15, 3420, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 385, 317, 298, 874, 3555, 289, 7683, 2184, 325, 26807, 2306, 5475, 2172, 7790, 16, 3057, 16, 1632, 536, 3738, 304, 411, 40334, 560, 477, 1360, 670, 14511, 31608, 382, 670, 14516, 416, 8951, 2362, 761, 16, 867, 1033, 1337, 726, 6769, 10469, 16905, 4475, 17890, 581, 2466, 27501, 23039, 670, 14703, 18, 365, 4722, 15029, 1119, 3806, 11972, 2221, 834, 1344, 4277, 662, 282, 27817, 4534, 16, 3754, 11440, 360, 978, 322, 5582, 1829, 289, 8633, 309, 3343, 4357, 5066, 1409, 9348, 6322, 941, 266, 18, 422, 18, 365, 1137, 2466, 25986, 282, 10882, 16, 1658, 3597, 16, 11585, 1143, 2271, 1378, 20085, 6208, 16, 453, 374, 44354, 30880, 322, 19988, 18, 22465, 16, 21535, 451, 3672, 7117, 322, 25190, 30, 5426, 4668, 27, 655, 15, 2783, 5448, 563, 16, 7760, 4668, 2783, 655, 15, 3420, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 11849, 924, 753, 27693, 20791, 16, 1085, 411, 6975, 35201, 282, 36016, 16, 1882, 24516, 4854, 281, 13472, 309, 2894, 3675, 33015, 18, 439, 334, 3427, 942, 289, 47420, 33690, 427, 20225, 18, 365, 11877, 16, 1533, 3597, 16, 282, 4275, 412, 5855, 4096, 5791, 44354, 9713, 322, 14864, 510, 3806, 11972, 2221, 35723, 4690, 516, 289, 3826, 869, 42525, 22961, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 16, 11440, 1409, 6427, 6322, 941, 266, 18, 422, 18, 457, 1167, 1195, 26150, 282, 8078, 2001, 27513, 990, 322, 14495, 16, 453, 374, 912, 14394, 16, 374, 971, 481, 475, 322, 387, 526, 484, 309, 2874, 5430, 282, 16329, 547, 18558, 18, 27247, 3215, 14096, 315, 16, 4668, 26, 655, 15, 3572, 5448, 563, 16, 7760, 3545, 2597, 298, 484, 519, 4668, 4234, 655, 15, 2692, 5448, 563, 18, 1735, 1441, 282, 3560, 445, 13676, 309, 3441, 411, 11848, 432, 34401, 16, 753, 10742, 12271, 349, 681, 804, 399, 1305, 16, 3024, 1291, 289, 1023, 19627, 680, 16, 8699, 20196, 4068, 2988, 19303, 965, 28383, 478, 682, 16902, 10465, 1891, 861, 832, 5505, 11467, 4071, 451, 8556, 478, 32485, 18, 8381, 470, 334, 3818, 21279, 38419, 27276, 2001, 5, 365, 4722, 1119, 27766, 16, 4813, 309, 16907, 539, 11440, 473, 27, 8725, 6322, 941, 266, 18, 422, 9761, 23822, 1195, 26150, 840, 28788, 282, 30743, 28686, 5296, 18, 889, 895, 1852, 9402, 6958, 1901, 42243, 7760, 16, 24549, 10033, 4275, 412, 3847, 16, 515, 329, 25350, 11944, 309, 1177, 2948, 8849, 40902, 281, 13700, 2254, 4857, 26460, 449, 1225, 9534, 282, 5373, 546, 18, 36748, 5426, 4668, 26, 655, 15, 3572, 5448, 563, 16, 289, 16, 3387, 42601, 764, 322, 44107, 16, 2397, 5667, 18794, 19845, 34691, 15013, 18, 25740, 282, 11084, 16, 2287, 3597, 16, 19988, 4668, 3572, 655, 15, 3902, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 18, 2, 1, 87, 1456, 81, 2448, 30, 45907, 33498, 26397, 478, 15164, 549, 18153, 910, 39805, 2109, 1509, 6743, 13949, 16, 8643, 9744, 290, 13486, 7321, 282, 1175, 18, 8444, 46039, 31294, 282, 4843, 4003, 3763, 18, 6831, 27306, 17605, 30, 1059, 1597, 716, 16, 1802, 11501, 1149, 4977, 87, 289, 715, 13855, 37318, 18, 28616, 6881, 18001, 7321, 2109, 1509, 6743, 13949, 19456, 9439, 30, 329, 2241, 11771, 12023, 27698, 10241, 18, 31224, 30, 6014, 13031, 1162, 39805, 2109, 1509, 6743, 13949, 16, 12352, 3308, 9217, 4868, 478, 15164, 549, 18153, 470, 289, 10530, 42960, 37734, 16, 8643, 9744, 290, 13486, 1728, 7321, 282, 1175, 349, 4843, 4003, 3763, 16, 5301, 14647, 1880, 10958, 11731, 71, 565, 1407, 18, 824, 505, 3761, 16, 10287, 758, 4458, 7771, 23054, 1059, 1597, 716, 16, 1802, 11501, 1149, 4977, 87, 289, 715, 13855, 37318, 18, 365, 9304, 4357, 20352, 2109, 1509, 6743, 17245, 34991, 16790, 7321, 16, 515, 289, 322, 2458, 14027, 4694, 4371, 290, 1692, 582, 18, 478, 48165, 11179, 12715, 9744, 910, 510, 12002, 282, 3781, 17, 12495, 18, 365, 1059, 1597, 716, 16, 1802, 11501, 1149, 4977, 87, 289, 715, 13855, 37318, 17245, 360, 15841, 18, 2109, 1509, 6743, 13949, 4452, 282, 1939, 7338, 309, 4095, 36883, 292, 473, 275, 2145, 16, 7338, 5538, 289, 11736, 16, 22643, 16, 18769, 934, 1611, 274, 15966, 309, 4016, 10355, 49171, 18, 14405, 21641, 2241, 510, 6715, 16, 678, 9225, 13150, 4367, 1756, 334, 4982, 395, 282, 30681, 25902, 13257, 40807, 18, 640, 5814, 16879, 2109, 1509, 6743, 13949, 4452, 281, 11078, 779, 16, 38990, 2388, 16108, 9217, 700, 428, 30, 786, 51, 56, 38493, 16, 4015, 549, 38119, 16, 10530, 42960, 37734, 16, 7931, 24147, 1456, 16, 5810, 769, 9845, 16196, 16, 1149, 20524, 56, 18, 8444, 23414, 25071, 615, 3328, 4704, 304, 282, 10143, 1767, 18, 17464, 680, 2109, 1509, 6743, 13949, 9914, 2364, 10952, 9, 14369, 845, 2241, 282, 1175, 18, 5850, 5925, 2706, 9, 23414, 10575, 786, 48063, 46043, 16, 1029, 3619, 12237, 282, 5653, 1045, 16, 6153, 13850, 282, 30225, 30103, 2364, 4843, 6894, 23, 3763, 18, 824, 3761, 309, 4698, 11693, 4018, 779, 16, 14702, 2109, 1509, 6743, 309, 19862, 5814, 4896, 2511, 7418, 367, 4982, 10241, 349, 1205, 7990, 309, 2555, 7418, 519, 4843, 2479, 22, 16, 14550, 3763, 18, 478, 5798, 3785, 6369, 7556, 19339, 309, 5814, 16, 1494, 15826, 14450, 290, 18202, 670, 13486, 7321, 16, 510, 10050, 18165, 6187, 478, 16945, 3181, 405, 2800, 470, 13408, 604, 688, 27120, 1183, 18, 510, 17935, 1293, 986, 2109, 1509, 6743, 7556, 5182, 455, 10933, 9217, 700, 30, 478, 15164, 668, 11422, 910, 10530, 42960, 37734, 16, 5810, 769, 9845, 16196, 289, 2393, 18, 1303, 24637, 898, 11583, 861, 478, 3743, 281, 9752, 17384, 10241, 2241, 19024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 670, 29872, 319, 1261, 7392, 15358, 15067, 14079, 16, 961, 975, 19357, 16, 3057, 16, 18992, 31358, 6780, 18, 365, 11946, 16, 1488, 3597, 16, 309, 8011, 16907, 434, 473, 27, 9247, 6322, 941, 266, 18, 422, 3406, 23337, 434, 13223, 334, 2923, 1767, 8192, 18817, 23337, 451, 12370, 18, 25740, 1137, 695, 16, 281, 20085, 39369, 16, 294, 18328, 10802, 549, 1137, 5090, 16, 14612, 5426, 289, 282, 4056, 11053, 2299, 13768, 34049, 18, 36748, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 2783, 655, 15, 3420, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 385, 317, 298, 874, 3555, 289, 7683, 2184, 325, 26807, 2306, 5475, 2172, 7790, 16, 3057, 16, 1632, 536, 3738, 304, 411, 40334, 560, 477, 1360, 670, 14511, 31608, 382, 670, 14516, 416, 8951, 2362, 761, 16, 867, 1033, 1337, 726, 6769, 10469, 16905, 4475, 17890, 581, 2466, 27501, 23039, 670, 14703, 18, 365, 4722, 15029, 1119, 3806, 11972, 2221, 834, 1344, 4277, 662, 282, 27817, 4534, 16, 3754, 11440, 360, 978, 322, 5582, 1829, 289, 8633, 309, 3343, 4357, 5066, 1409, 9348, 6322, 941, 266, 18, 422, 18, 365, 1137, 2466, 25986, 282, 10882, 16, 1658, 3597, 16, 11585, 1143, 2271, 1378, 20085, 6208, 16, 453, 374, 44354, 30880, 322, 19988, 18, 22465, 16, 21535, 451, 3672, 7117, 322, 25190, 30, 5426, 4668, 27, 655, 15, 2783, 5448, 563, 16, 7760, 4668, 2783, 655, 15, 3420, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 11849, 924, 753, 27693, 20791, 16, 1085, 411, 6975, 35201, 282, 36016, 16, 1882, 24516, 4854, 281, 13472, 309, 2894, 3675, 33015, 18, 439, 334, 3427, 942, 289, 47420, 33690, 427, 20225, 18, 365, 11877, 16, 1533, 3597, 16, 282, 4275, 412, 5855, 4096, 5791, 44354, 9713, 322, 14864, 510, 3806, 11972, 2221, 35723, 4690, 516, 289, 3826, 869, 42525, 22961, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 16, 11440, 1409, 6427, 6322, 941, 266, 18, 422, 18, 457, 1167, 1195, 26150, 282, 8078, 2001, 27513, 990, 322, 14495, 16, 453, 374, 912, 14394, 16, 374, 971, 481, 475, 322, 387, 526, 484, 309, 2874, 5430, 282, 16329, 547, 18558, 18, 27247, 3215, 14096, 315, 16, 4668, 26, 655, 15, 3572, 5448, 563, 16, 7760, 3545, 2597, 298, 484, 519, 4668, 4234, 655, 15, 2692, 5448, 563, 18, 1735, 1441, 282, 3560, 445, 13676, 309, 3441, 411, 11848, 432, 34401, 16, 753, 10742, 12271, 349, 681, 804, 399, 1305, 16, 3024, 1291, 289, 1023, 19627, 680, 16, 8699, 20196, 4068, 2988, 19303, 965, 28383, 478, 682, 16902, 10465, 1891, 861, 832, 5505, 11467, 4071, 451, 8556, 478, 32485, 18, 8381, 470, 334, 3818, 21279, 38419, 27276, 2001, 5, 365, 4722, 1119, 27766, 16, 4813, 309, 16907, 539, 11440, 473, 27, 8725, 6322, 941, 266, 18, 422, 9761, 23822, 1195, 26150, 840, 28788, 282, 30743, 28686, 5296, 18, 889, 895, 1852, 9402, 6958, 1901, 42243, 7760, 16, 24549, 10033, 4275, 412, 3847, 16, 515, 329, 25350, 11944, 309, 1177, 2948, 8849, 40902, 281, 13700, 2254, 4857, 26460, 449, 1225, 9534, 282, 5373, 546, 18, 36748, 5426, 4668, 26, 655, 15, 3572, 5448, 563, 16, 289, 16, 3387, 42601, 764, 322, 44107, 16, 2397, 5667, 18794, 19845, 34691, 15013, 18, 25740, 282, 11084, 16, 2287, 3597, 16, 19988, 4668, 3572, 655, 15, 3902, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 18, 2, 1, 87, 1456, 81, 2448, 30, 45907, 33498, 26397, 478, 15164, 549, 18153, 910, 39805, 2109, 1509, 6743, 13949, 16, 8643, 9744, 290, 13486, 7321, 282, 1175, 18, 8444, 46039, 31294, 282, 4843, 4003, 3763, 18, 6831, 27306, 17605, 30, 1059, 1597, 716, 16, 1802, 11501, 1149, 4977, 87, 289, 715, 13855, 37318, 18, 28616, 6881, 18001, 7321, 2109, 1509, 6743, 13949, 19456, 9439, 30, 329, 2241, 11771, 12023, 27698, 10241, 18, 31224, 30, 6014, 13031, 1162, 39805, 2109, 1509, 6743, 13949, 16, 12352, 3308, 9217, 4868, 478, 15164, 549, 18153, 470, 289, 10530, 42960, 37734, 16, 8643, 9744, 290, 13486, 1728, 7321, 282, 1175, 349, 4843, 4003, 3763, 16, 5301, 14647, 1880, 10958, 11731, 71, 565, 1407, 18, 824, 505, 3761, 16, 10287, 758, 4458, 7771, 23054, 1059, 1597, 716, 16, 1802, 11501, 1149, 4977, 87, 289, 715, 13855, 37318, 18, 365, 9304, 4357, 20352, 2109, 1509, 6743, 17245, 34991, 16790, 7321, 16, 515, 289, 322, 2458, 14027, 4694, 4371, 290, 1692, 582, 18, 478, 48165, 11179, 12715, 9744, 910, 510, 12002, 282, 3781, 17, 12495, 18, 365, 1059, 1597, 716, 16, 1802, 11501, 1149, 4977, 87, 289, 715, 13855, 37318, 17245, 360, 15841, 18, 2109, 1509, 6743, 13949, 4452, 282, 1939, 7338, 309, 4095, 36883, 292, 473, 275, 2145, 16, 7338, 5538, 289, 11736, 16, 22643, 16, 18769, 934, 1611, 274, 15966, 309, 4016, 10355, 49171, 18, 14405, 21641, 2241, 510, 6715, 16, 678, 9225, 13150, 4367, 1756, 334, 4982, 395, 282, 30681, 25902, 13257, 40807, 18, 640, 5814, 16879, 2109, 1509, 6743, 13949, 4452, 281, 11078, 779, 16, 38990, 2388, 16108, 9217, 700, 428, 30, 786, 51, 56, 38493, 16, 4015, 549, 38119, 16, 10530, 42960, 37734, 16, 7931, 24147, 1456, 16, 5810, 769, 9845, 16196, 16, 1149, 20524, 56, 18, 8444, 23414, 25071, 615, 3328, 4704, 304, 282, 10143, 1767, 18, 17464, 680, 2109, 1509, 6743, 13949, 9914, 2364, 10952, 9, 14369, 845, 2241, 282, 1175, 18, 5850, 5925, 2706, 9, 23414, 10575, 786, 48063, 46043, 16, 1029, 3619, 12237, 282, 5653, 1045, 16, 6153, 13850, 282, 30225, 30103, 2364, 4843, 6894, 23, 3763, 18, 824, 3761, 309, 4698, 11693, 4018, 779, 16, 14702, 2109, 1509, 6743, 309, 19862, 5814, 4896, 2511, 7418, 367, 4982, 10241, 349, 1205, 7990, 309, 2555, 7418, 519, 4843, 2479, 22, 16, 14550, 3763, 18, 478, 5798, 3785, 6369, 7556, 19339, 309, 5814, 16, 1494, 15826, 14450, 290, 18202, 670, 13486, 7321, 16, 510, 10050, 18165, 6187, 478, 16945, 3181, 405, 2800, 470, 13408, 604, 688, 27120, 1183, 18, 510, 17935, 1293, 986, 2109, 1509, 6743, 7556, 5182, 455, 10933, 9217, 700, 30, 478, 15164, 668, 11422, 910, 10530, 42960, 37734, 16, 5810, 769, 9845, 16196, 289, 2393, 18, 1303, 24637, 898, 11583, 861, 478, 3743, 281, 9752, 17384, 10241, 2241, 19024 ]
[ 7321, 282, 4843, 4003, 3763, 510, 30822, 10347, 324, 910, 510, 10050, 18165, 6187, 30340, 908, 2426, 17, 25293, 26462, 6070, 11974, 353, 7719, 18, 824, 505, 4734, 16, 1314, 13768, 25207, 2241, 32917, 16141, 282, 12996, 7321, 282, 1175, 30, 329, 1129, 939, 14113, 6134, 15757, 3402, 289, 322, 7696, 10059, 309, 3652, 423, 2561, 597, 289, 23452, 1505, 26945, 282, 1702, 4325, 271, 16, 282, 6588, 360, 8334, 6271, 4528, 1059, 1597, 716, 670, 1802, 11501, 1149, 4977, 87, 18, 11974, 353, 7719, 1038, 5273, 16, 374, 1059, 1597, 716, 670, 1802, 11501, 1149, 4977, 87, 37856, 7321, 14647, 680, 2241, 6327, 886, 324, 18, 478, 677, 5329, 44258, 6715, 289, 16120, 322, 7696, 10664, 434, 7019, 18, 1681, 4553, 564, 764, 2236, 26397, 7220, 36073, 17085, 282, 23403, 18, 2109, 1509, 6743, 13949, 840, 8030, 14033, 294, 10268, 7321, 20122, 49814, 3850, 16, 428, 282, 2159, 808, 7199, 715, 13855, 37318, 1075, 1072, 16, 47579, 2301, 12517, 2241, 478, 47067, 49750, 470, 225, 910, 510, 26698, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 9541, 17, 42459, 5579, 17, 14723, 38466, 415, 1709, 14076, 268, 14403, 282, 5153, 4840, 1033, 3610, 3763, 2791, 371, 14885, 23148, 31819, 478, 25626, 470, 478, 40683, 17, 9400, 861, 824, 2856, 35491, 6043, 3033, 16684, 519, 5544, 986, 16886, 18, 3791, 505, 39248, 282, 21659, 29126, 309, 7512, 1939, 3763, 2791, 360, 2241, 16, 1586, 30346, 5410, 868, 309, 12846, 26409, 19675, 382, 5778, 276, 18, 31224, 30, 45433, 9541, 17, 42459, 5579, 17, 14723, 38466, 415, 1709, 14076, 268, 16, 7606, 20359, 282, 5734, 2083, 424, 29092, 16, 13749, 1423, 16789, 282, 5153, 4840, 3610, 16, 24, 3763, 2791, 282, 4542, 6997, 23148, 31819, 478, 25626, 470, 478, 40683, 17, 9400, 861, 6592, 32477, 5219, 1734, 3781, 17, 14130, 13509, 12654, 10208, 16, 2287, 3802, 7847, 779, 8851, 26363, 6455, 24564, 281, 1498, 5072, 48236, 539, 12735, 290, 21992, 289, 6396, 2852, 2868, 14403, 282, 281, 7774, 1231, 547, 18, 478, 36865, 282, 4599, 1047, 42406, 282, 42898, 8357, 18, 44332, 23212, 3802, 7847, 779, 5120, 13389, 16789, 13749, 910, 510, 46251, 282, 9907, 18, 7106, 16, 415, 1709, 14076, 268, 3635, 1740, 709, 282, 5153, 4840, 4076, 371, 25873, 9105, 6700, 1567, 989, 4173, 31819, 510, 19007, 478, 47162, 2021, 470, 510, 281, 11024, 478, 8756, 766, 45554, 17, 476, 9277, 5643, 4308, 1133, 470, 473, 789, 822, 780, 13, 309, 31438, 32879, 47366, 541, 5778, 276, 478, 25626, 861, 13925, 281, 11024, 478, 47162, 2021, 470, 685, 49549, 1578, 11389, 411, 17, 431, 4461, 5473, 281, 2736, 291, 35968, 6997, 16, 1721, 348, 5400, 427, 8410, 3623, 289, 4179, 48543, 294, 4719, 12944, 23946, 18, 365, 1078, 3785, 14231, 6656, 46443, 16, 515, 322, 8412, 7069, 904, 309, 7512, 2364, 430, 5096, 1671, 289, 309, 3177, 17292, 3614, 8982, 1865, 332, 6937, 14683, 14267, 282, 970, 16, 374, 678, 478, 1148, 305, 475, 16, 753, 41872, 10286, 18890, 5115, 910, 289, 19194, 4973, 360, 13595, 904, 18, 889, 40465, 2053, 14603, 294, 19046, 26337, 15140, 16, 30139, 2024, 14694, 294, 415, 1709, 14076, 392, 1624, 2103, 743, 3326, 40372, 31819, 478, 40683, 17, 9400, 470, 281, 3734, 334, 2604, 1205, 18, 4802, 2118, 4511, 17576, 16, 374, 282, 2801, 1045, 21284, 457, 822, 780, 7356, 13371, 267, 309, 7512, 1033, 3610, 3763, 1671, 349, 19409, 33594, 434, 2100, 4970, 296, 435, 16, 2686, 5957, 1810, 898, 590, 31445, 4633, 4310, 31117, 16, 961, 26986, 2764, 16, 322, 2027, 6954, 1634, 20394, 18, 25344, 7742, 22625, 9597, 6498, 294, 14728, 16, 374, 415, 1709, 14076, 268, 23009, 3674, 1248, 5502, 22909, 17, 314, 5388, 2325, 368, 16, 367, 457, 822, 780, 2756, 505, 14340, 1629, 2409, 282, 7446, 978, 12375, 18, 46899, 11285, 2815, 16, 374, 11350, 17, 44029, 742, 478, 431, 5089, 262, 2946, 381, 16715, 329, 457, 822, 780, 23037, 4735, 1086, 44373, 13371, 267, 309, 31438, 47366, 541, 31819, 861, 824, 3352, 5792, 16, 349, 23403, 7405, 1335, 2241, 492, 1943, 685, 3604, 2364, 1760, 9, 360, 491, 5096, 2791, 16, 349, 13808, 432, 42578, 334, 47218, 18, 365, 6031, 415, 1709, 14076, 392, 639, 49837, 22204, 334, 327, 18, 24, 422, 18, 3114, 29, 25295, 434, 19986, 1175, 473, 1024, 1235, 16253, 934, 289, 1441, 975, 16684, 519, 5544, 986, 16886, 18, 5043, 16, 11350, 17, 44029, 742, 43315, 424, 29092, 726, 2364, 779, 510, 281, 1110, 1326, 16, 428, 1281, 4120, 4145, 779, 505, 31764, 282, 30166, 8303, 289, 1542, 589, 4110, 282, 5579, 17, 9400, 541, 1810, 477, 23285, 18, 14445, 16, 1488, 4120, 16, 282, 9207, 1551, 5579, 17, 14723, 639, 4674, 315, 43787, 281, 14503, 32639, 3017, 12519, 415, 1709, 14076, 324, 424, 29092, 519, 1658, 3750, 11826, 779, 18, 38232, 17, 420, 800, 17, 11174, 4042, 6520, 764, 912, 16, 828, 17660, 477, 23285, 30, 10398, 37976, 282, 50128, 16, 33811, 39248, 282, 21659, 29126, 309, 7512, 1939, 3763, 1671, 360, 20148, 8840, 2241, 478, 41113, 41259, 269, 270, 255, 356, 7523, 470, 19904, 385, 3431, 2931, 367, 18, 824, 3352, 3594, 33515, 7920, 334, 5909, 877, 16, 4747, 4076, 685, 2966, 637, 282, 2604, 1045, 371, 3599, 1949, 42997, 18, 6630, 17220, 309, 3094, 14137, 17349, 415, 1709, 14076, 268, 1943, 685, 39225, 32473, 385, 3431, 8053, 9565, 564, 9105, 334, 27469, 26409, 19675, 382, 289, 8028, 434, 25281, 31819, 478, 40683, 17, 9400, 861, 385, 3431, 2931, 16, 428, 289, 505, 48115, 1629, 742, 16, 282, 5734, 2083, 3164, 424, 44649, 18, 14155, 492, 7757, 282, 35524, 282, 11366, 4145, 779, 334, 35491, 282, 5153, 4840, 23308, 3763, 2791, 567, 808, 13144, 20194, 309, 15740, 19675, 382, 541, 5778, 276, 478, 25626, 470, 289, 4039, 29, 3763, 2791, 371, 2921, 1165, 6518, 30390, 1237, 18, 1591, 2992, 445, 505, 18137, 282, 11366, 7847, 17, 361, 282, 2630, 281, 22144, 353, 282, 26099, 29126, 415, 1709, 14076, 392, 18, 985, 3110, 10958, 478, 9400, 778, 30853, 910, 309, 11073, 5129, 385, 3431, 2931, 38296, 300, 475, 14267, 289, 2815, 16, 374, 1743, 1279, 1047, 639, 281, 43716, 2611, 9368, 334, 3217, 8386, 16, 374, 282, 4542, 26034, 15140, 492, 9473, 10919, 17187, 1279, 478, 404, 47496, 28485, 1562, 861, 5333, 2175, 16, 16390, 282, 24617, 43025, 292, 2917, 33450, 2693, 938, 274, 764, 322, 32921 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7321, 282, 4843, 4003, 3763, 510, 30822, 10347, 324, 910, 510, 10050, 18165, 6187, 30340, 908, 2426, 17, 25293, 26462, 6070, 11974, 353, 7719, 18, 824, 505, 4734, 16, 1314, 13768, 25207, 2241, 32917, 16141, 282, 12996, 7321, 282, 1175, 30, 329, 1129, 939, 14113, 6134, 15757, 3402, 289, 322, 7696, 10059, 309, 3652, 423, 2561, 597, 289, 23452, 1505, 26945, 282, 1702, 4325, 271, 16, 282, 6588, 360, 8334, 6271, 4528, 1059, 1597, 716, 670, 1802, 11501, 1149, 4977, 87, 18, 11974, 353, 7719, 1038, 5273, 16, 374, 1059, 1597, 716, 670, 1802, 11501, 1149, 4977, 87, 37856, 7321, 14647, 680, 2241, 6327, 886, 324, 18, 478, 677, 5329, 44258, 6715, 289, 16120, 322, 7696, 10664, 434, 7019, 18, 1681, 4553, 564, 764, 2236, 26397, 7220, 36073, 17085, 282, 23403, 18, 2109, 1509, 6743, 13949, 840, 8030, 14033, 294, 10268, 7321, 20122, 49814, 3850, 16, 428, 282, 2159, 808, 7199, 715, 13855, 37318, 1075, 1072, 16, 47579, 2301, 12517, 2241, 478, 47067, 49750, 470, 225, 910, 510, 26698, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 45433, 9541, 17, 42459, 5579, 17, 14723, 38466, 415, 1709, 14076, 268, 14403, 282, 5153, 4840, 1033, 3610, 3763, 2791, 371, 14885, 23148, 31819, 478, 25626, 470, 478, 40683, 17, 9400, 861, 824, 2856, 35491, 6043, 3033, 16684, 519, 5544, 986, 16886, 18, 3791, 505, 39248, 282, 21659, 29126, 309, 7512, 1939, 3763, 2791, 360, 2241, 16, 1586, 30346, 5410, 868, 309, 12846, 26409, 19675, 382, 5778, 276, 18, 31224, 30, 45433, 9541, 17, 42459, 5579, 17, 14723, 38466, 415, 1709, 14076, 268, 16, 7606, 20359, 282, 5734, 2083, 424, 29092, 16, 13749, 1423, 16789, 282, 5153, 4840, 3610, 16, 24, 3763, 2791, 282, 4542, 6997, 23148, 31819, 478, 25626, 470, 478, 40683, 17, 9400, 861, 6592, 32477, 5219, 1734, 3781, 17, 14130, 13509, 12654, 10208, 16, 2287, 3802, 7847, 779, 8851, 26363, 6455, 24564, 281, 1498, 5072, 48236, 539, 12735, 290, 21992, 289, 6396, 2852, 2868, 14403, 282, 281, 7774, 1231, 547, 18, 478, 36865, 282, 4599, 1047, 42406, 282, 42898, 8357, 18, 44332, 23212, 3802, 7847, 779, 5120, 13389, 16789, 13749, 910, 510, 46251, 282, 9907, 18, 7106, 16, 415, 1709, 14076, 268, 3635, 1740, 709, 282, 5153, 4840, 4076, 371, 25873, 9105, 6700, 1567, 989, 4173, 31819, 510, 19007, 478, 47162, 2021, 470, 510, 281, 11024, 478, 8756, 766, 45554, 17, 476, 9277, 5643, 4308, 1133, 470, 473, 789, 822, 780, 13, 309, 31438, 32879, 47366, 541, 5778, 276, 478, 25626, 861, 13925, 281, 11024, 478, 47162, 2021, 470, 685, 49549, 1578, 11389, 411, 17, 431, 4461, 5473, 281, 2736, 291, 35968, 6997, 16, 1721, 348, 5400, 427, 8410, 3623, 289, 4179, 48543, 294, 4719, 12944, 23946, 18, 365, 1078, 3785, 14231, 6656, 46443, 16, 515, 322, 8412, 7069, 904, 309, 7512, 2364, 430, 5096, 1671, 289, 309, 3177, 17292, 3614, 8982, 1865, 332, 6937, 14683, 14267, 282, 970, 16, 374, 678, 478, 1148, 305, 475, 16, 753, 41872, 10286, 18890, 5115, 910, 289, 19194, 4973, 360, 13595, 904, 18, 889, 40465, 2053, 14603, 294, 19046, 26337, 15140, 16, 30139, 2024, 14694, 294, 415, 1709, 14076, 392, 1624, 2103, 743, 3326, 40372, 31819, 478, 40683, 17, 9400, 470, 281, 3734, 334, 2604, 1205, 18, 4802, 2118, 4511, 17576, 16, 374, 282, 2801, 1045, 21284, 457, 822, 780, 7356, 13371, 267, 309, 7512, 1033, 3610, 3763, 1671, 349, 19409, 33594, 434, 2100, 4970, 296, 435, 16, 2686, 5957, 1810, 898, 590, 31445, 4633, 4310, 31117, 16, 961, 26986, 2764, 16, 322, 2027, 6954, 1634, 20394, 18, 25344, 7742, 22625, 9597, 6498, 294, 14728, 16, 374, 415, 1709, 14076, 268, 23009, 3674, 1248, 5502, 22909, 17, 314, 5388, 2325, 368, 16, 367, 457, 822, 780, 2756, 505, 14340, 1629, 2409, 282, 7446, 978, 12375, 18, 46899, 11285, 2815, 16, 374, 11350, 17, 44029, 742, 478, 431, 5089, 262, 2946, 381, 16715, 329, 457, 822, 780, 23037, 4735, 1086, 44373, 13371, 267, 309, 31438, 47366, 541, 31819, 861, 824, 3352, 5792, 16, 349, 23403, 7405, 1335, 2241, 492, 1943, 685, 3604, 2364, 1760, 9, 360, 491, 5096, 2791, 16, 349, 13808, 432, 42578, 334, 47218, 18, 365, 6031, 415, 1709, 14076, 392, 639, 49837, 22204, 334, 327, 18, 24, 422, 18, 3114, 29, 25295, 434, 19986, 1175, 473, 1024, 1235, 16253, 934, 289, 1441, 975, 16684, 519, 5544, 986, 16886, 18, 5043, 16, 11350, 17, 44029, 742, 43315, 424, 29092, 726, 2364, 779, 510, 281, 1110, 1326, 16, 428, 1281, 4120, 4145, 779, 505, 31764, 282, 30166, 8303, 289, 1542, 589, 4110, 282, 5579, 17, 9400, 541, 1810, 477, 23285, 18, 14445, 16, 1488, 4120, 16, 282, 9207, 1551, 5579, 17, 14723, 639, 4674, 315, 43787, 281, 14503, 32639, 3017, 12519, 415, 1709, 14076, 324, 424, 29092, 519, 1658, 3750, 11826, 779, 18, 38232, 17, 420, 800, 17, 11174, 4042, 6520, 764, 912, 16, 828, 17660, 477, 23285, 30, 10398, 37976, 282, 50128, 16, 33811, 39248, 282, 21659, 29126, 309, 7512, 1939, 3763, 1671, 360, 20148, 8840, 2241, 478, 41113, 41259, 269, 270, 255, 356, 7523, 470, 19904, 385, 3431, 2931, 367, 18, 824, 3352, 3594, 33515, 7920, 334, 5909, 877, 16, 4747, 4076, 685, 2966, 637, 282, 2604, 1045, 371, 3599, 1949, 42997, 18, 6630, 17220, 309, 3094, 14137, 17349, 415, 1709, 14076, 268, 1943, 685, 39225, 32473, 385, 3431, 8053, 9565, 564, 9105, 334, 27469, 26409, 19675, 382, 289, 8028, 434, 25281, 31819, 478, 40683, 17, 9400, 861, 385, 3431, 2931, 16, 428, 289, 505, 48115, 1629, 742, 16, 282, 5734, 2083, 3164, 424, 44649, 18, 14155, 492, 7757, 282, 35524, 282, 11366, 4145, 779, 334, 35491, 282, 5153, 4840, 23308, 3763, 2791, 567, 808, 13144, 20194, 309, 15740, 19675, 382, 541, 5778, 276, 478, 25626, 470, 289, 4039, 29, 3763, 2791, 371, 2921, 1165, 6518, 30390, 1237, 18, 1591, 2992, 445, 505, 18137, 282, 11366, 7847, 17, 361, 282, 2630, 281, 22144, 353, 282, 26099, 29126, 415, 1709, 14076, 392, 18, 985, 3110, 10958, 478, 9400, 778, 30853, 910, 309, 11073, 5129, 385, 3431, 2931, 38296, 300, 475, 14267, 289, 2815, 16, 374, 1743, 1279, 1047, 639, 281, 43716, 2611, 9368, 334, 3217, 8386, 16, 374, 282, 4542, 26034, 15140, 492, 9473, 10919, 17187, 1279, 478, 404, 47496, 28485, 1562, 861, 5333, 2175, 16, 16390, 282, 24617, 43025, 292, 2917, 33450, 2693, 938, 274, 764, 322, 32921 ]
[ 18, 2326, 488, 356, 478, 40683, 17, 9400, 470, 10211, 15739, 282, 19473, 3405, 4238, 7847, 779, 16, 785, 309, 30482, 12665, 10133, 3436, 13767, 7561, 1175, 478, 22262, 470, 510, 478, 28516, 861, 967, 803, 7955, 31819, 10243, 16638, 282, 5653, 1045, 16, 289, 12816, 505, 7143, 25607, 1286, 16, 27, 5096, 1671, 16, 2686, 1011, 17696, 21999, 309, 11506, 282, 1175, 7561, 2422, 651, 11826, 639, 7239, 3003, 24937, 1507, 4871, 18, 3397, 6134, 603, 13172, 5778, 276, 10211, 30081, 282, 14691, 5096, 2791, 18, 967, 803, 5957, 678, 895, 2957, 5873, 18, 5890, 3665, 290, 970, 16, 374, 309, 26225, 23566, 22482, 23062, 19875, 16, 1029, 15056, 22328, 552, 16291, 434, 4629, 16, 374, 35710, 7431, 10367, 3763, 1671, 18, 3791, 282, 12354, 309, 28559, 1087, 8665, 673, 368, 6605, 5825, 290, 970, 16, 374, 2891, 10322, 3467, 764, 48082, 16, 25, 3763, 1671, 309, 478, 938, 8557, 34963, 3463, 281, 18409, 12717, 309, 38656, 32689, 309, 309, 918, 38194, 2923, 282, 17370, 2095, 11603, 1356, 718, 7754, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 309, 7759, 7561, 1175, 334, 15749, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 13486, 24765, 24714, 50180, 26988, 22686, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 910, 3956, 1815, 19311, 3741, 6866, 15252, 16, 14241, 289, 11268, 18, 31224, 30, 6207, 2269, 16, 656, 14877, 1743, 281, 34971, 806, 8085, 12260, 50180, 26988, 1970, 367, 510, 4223, 24765, 24714, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 910, 45780, 42190, 6426, 478, 677, 8038, 2244, 910, 764, 1248, 4038, 4776, 309, 44124, 11585, 505, 8385, 478, 45, 5784, 1456, 410, 3825, 910, 367, 2512, 20263, 1405, 14927, 1545, 3210, 1176, 411, 10235, 25292, 1046, 285, 9055, 14982, 6705, 779, 651, 3808, 12904, 15252, 16, 3876, 5103, 12198, 1496, 306, 26658, 2776, 298, 620, 18, 4406, 4136, 17, 299, 19174, 542, 282, 970, 16, 374, 4983, 481, 1717, 1314, 16, 785, 475, 19435, 48094, 440, 505, 757, 27674, 44399, 1715, 35311, 16202, 8394, 5022, 651, 23062, 16, 478, 18467, 264, 12310, 2436, 3032, 910, 3079, 1082, 289, 935, 12490, 12945, 975, 10035, 8448, 2206, 18, 4798, 4612, 16, 3073, 16, 895, 8593, 935, 505, 22964, 16, 1029, 15583, 1248, 1205, 18, 365, 1354, 575, 2887, 22291, 17, 11884, 14241, 2521, 373, 1329, 322, 15050, 651, 3591, 8343, 3359, 757, 3257, 17882, 16, 374, 26988, 1970, 322, 2010, 4984, 44902, 537, 6661, 411, 1634, 5546, 10535, 30, 935, 567, 808, 360, 12554, 382, 282, 17063, 329, 1047, 7451, 1421, 4556, 18, 5043, 16, 11526, 883, 478, 677, 8038, 2244, 470, 583, 5184, 16, 4266, 16, 322, 3988, 1788, 651, 39793, 9652, 34458, 6166, 2997, 1295, 1098, 910, 334, 22061, 29933, 13, 505, 9225, 1653, 3440, 18, 1598, 19449, 43887, 24714, 492, 1038, 322, 5073, 4905, 16, 3387, 36189, 697, 11179, 473, 1369, 3538, 41051, 5761, 934, 20111, 16, 2733, 2175, 16, 49612, 7269, 30157, 17, 16024, 48787, 16, 1320, 322, 11666, 2339, 21296, 8720, 291, 541, 10195, 18, 1483, 301, 6094, 24765, 16, 478, 684, 10527, 791, 910, 2686, 16, 11326, 300, 10116, 597, 583, 1807, 651, 1992, 473, 864, 425, 6197, 13, 33007, 29712, 9731, 1715, 18742, 18, 29609, 2222, 7549, 5768, 16, 281, 1754, 26988, 1970, 17902, 300, 1595, 6426, 281, 4055, 17, 17827, 8944, 761, 18, 1895, 21638, 309, 6931, 906, 28528, 1809, 651, 4289, 3498, 301, 350, 1453, 289, 29338, 448, 478, 684, 10527, 791, 470, 5029, 326, 1139, 322, 30887, 16, 367, 7117, 5640, 266, 1775, 322, 6336, 3306, 47620, 26988, 22686, 282, 2411, 1873, 1669, 1484, 294, 47643, 2771, 4260, 18, 403, 21178, 4434, 6710, 3349, 10091, 16, 9705, 16, 322, 48685, 651, 11959, 865, 505, 7337, 519, 4319, 1326, 37279, 294, 21555, 6528, 396, 502, 16, 4427, 492, 8874, 334, 5741, 17, 277, 1935, 6500, 424, 8440, 9338, 415, 7641, 2176, 16, 289, 6661, 651, 290, 970, 16, 374, 575, 4983, 1251, 1498, 289, 21020, 406, 16646, 282, 6835, 17, 17553, 282, 8151, 11238, 17, 292, 18, 459, 867, 2898, 968, 24765, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 470, 510, 8385, 16, 282, 1754, 26988, 1970, 2548, 290, 970, 16, 290, 828, 975, 5425, 6861, 18, 478, 672, 11749, 883, 5543, 49022, 910, 10954, 1545, 17519, 282, 27648, 11724, 368, 16, 14782, 19019, 290, 41424, 36148, 16, 289, 6174, 2301, 24714, 1336, 651, 2521, 373, 4546, 968, 25901, 14241, 349, 13258, 1097, 19528, 18, 20363, 742, 8486, 1122, 575, 16, 988, 21411, 39837, 16, 651, 282, 478, 353, 298, 16, 1174, 274, 11100, 15144, 658, 20544, 11593, 478, 1009, 271, 809, 647, 12753, 18, 365, 3035, 32320, 18, 2901, 987, 11988, 770, 5419, 476, 313, 18, 1397, 16, 28635, 16, 4700, 16602, 3739, 360, 35852, 694, 393, 8910, 35, 23141, 7600, 285, 35, 5890, 529, 414, 18, 365, 19189, 2657, 530, 35, 5890, 685, 18, 6831, 9006, 1846, 289, 349, 12829, 1668, 295, 1575, 727, 17733, 562, 304, 14366, 6860, 9993, 16, 22189, 26988, 22686, 17, 1369, 12136, 16, 19840, 47023, 282, 4101, 3142, 473, 11445, 12101, 24765, 651, 726, 27596, 1011, 8421, 411, 16886, 934, 510, 481, 1728, 5064, 30224, 2254, 1815, 5335, 16, 2990, 309, 1029, 5184, 1494, 13303, 6310, 18, 9374, 36439, 473, 267, 3279, 26988, 22686, 13962, 1166, 289, 2024, 492, 16773, 322, 895, 13, 764, 282, 19817, 17, 277, 1045, 17453, 4615, 16, 374, 282, 23838, 1612, 47134, 28270, 487, 1595, 5667, 16, 4881, 12304, 360, 1512, 289, 10906, 3111, 1472, 702, 281, 4413, 18, 1178, 329, 2616, 17, 299, 912, 9012, 282, 970, 16, 374, 870, 16451, 2833, 17322, 751, 16, 502, 975, 2353, 16012, 3591, 42890, 2894, 18, 3026, 651, 10598, 541, 48570, 16, 282, 2903, 2529, 6003, 978, 1694, 16, 541, 8752, 3463, 478, 5218, 1947, 30407, 910, 2552, 3203, 1754, 9414, 26692, 2200, 23316, 277, 29587, 3536, 3359, 865, 18, 26988, 1970, 1335, 21198, 16160, 286, 16, 428, 16160, 286, 492, 289, 9716, 8401, 14908, 16, 35888, 3348, 411, 3322, 22290, 3314, 349, 17784, 12137, 18, 769, 1184, 742, 24714, 50180, 26988, 22686, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 470, 1860, 1360, 40782, 23886, 761, 492, 475, 3066, 8471, 16465, 16687, 612, 16, 17518, 1757, 309, 14668, 34613, 1378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2326, 488, 356, 478, 40683, 17, 9400, 470, 10211, 15739, 282, 19473, 3405, 4238, 7847, 779, 16, 785, 309, 30482, 12665, 10133, 3436, 13767, 7561, 1175, 478, 22262, 470, 510, 478, 28516, 861, 967, 803, 7955, 31819, 10243, 16638, 282, 5653, 1045, 16, 289, 12816, 505, 7143, 25607, 1286, 16, 27, 5096, 1671, 16, 2686, 1011, 17696, 21999, 309, 11506, 282, 1175, 7561, 2422, 651, 11826, 639, 7239, 3003, 24937, 1507, 4871, 18, 3397, 6134, 603, 13172, 5778, 276, 10211, 30081, 282, 14691, 5096, 2791, 18, 967, 803, 5957, 678, 895, 2957, 5873, 18, 5890, 3665, 290, 970, 16, 374, 309, 26225, 23566, 22482, 23062, 19875, 16, 1029, 15056, 22328, 552, 16291, 434, 4629, 16, 374, 35710, 7431, 10367, 3763, 1671, 18, 3791, 282, 12354, 309, 28559, 1087, 8665, 673, 368, 6605, 5825, 290, 970, 16, 374, 2891, 10322, 3467, 764, 48082, 16, 25, 3763, 1671, 309, 478, 938, 8557, 34963, 3463, 281, 18409, 12717, 309, 38656, 32689, 309, 309, 918, 38194, 2923, 282, 17370, 2095, 11603, 1356, 718, 7754, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 309, 7759, 7561, 1175, 334, 15749, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 13486, 24765, 24714, 50180, 26988, 22686, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 910, 3956, 1815, 19311, 3741, 6866, 15252, 16, 14241, 289, 11268, 18, 31224, 30, 6207, 2269, 16, 656, 14877, 1743, 281, 34971, 806, 8085, 12260, 50180, 26988, 1970, 367, 510, 4223, 24765, 24714, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 910, 45780, 42190, 6426, 478, 677, 8038, 2244, 910, 764, 1248, 4038, 4776, 309, 44124, 11585, 505, 8385, 478, 45, 5784, 1456, 410, 3825, 910, 367, 2512, 20263, 1405, 14927, 1545, 3210, 1176, 411, 10235, 25292, 1046, 285, 9055, 14982, 6705, 779, 651, 3808, 12904, 15252, 16, 3876, 5103, 12198, 1496, 306, 26658, 2776, 298, 620, 18, 4406, 4136, 17, 299, 19174, 542, 282, 970, 16, 374, 4983, 481, 1717, 1314, 16, 785, 475, 19435, 48094, 440, 505, 757, 27674, 44399, 1715, 35311, 16202, 8394, 5022, 651, 23062, 16, 478, 18467, 264, 12310, 2436, 3032, 910, 3079, 1082, 289, 935, 12490, 12945, 975, 10035, 8448, 2206, 18, 4798, 4612, 16, 3073, 16, 895, 8593, 935, 505, 22964, 16, 1029, 15583, 1248, 1205, 18, 365, 1354, 575, 2887, 22291, 17, 11884, 14241, 2521, 373, 1329, 322, 15050, 651, 3591, 8343, 3359, 757, 3257, 17882, 16, 374, 26988, 1970, 322, 2010, 4984, 44902, 537, 6661, 411, 1634, 5546, 10535, 30, 935, 567, 808, 360, 12554, 382, 282, 17063, 329, 1047, 7451, 1421, 4556, 18, 5043, 16, 11526, 883, 478, 677, 8038, 2244, 470, 583, 5184, 16, 4266, 16, 322, 3988, 1788, 651, 39793, 9652, 34458, 6166, 2997, 1295, 1098, 910, 334, 22061, 29933, 13, 505, 9225, 1653, 3440, 18, 1598, 19449, 43887, 24714, 492, 1038, 322, 5073, 4905, 16, 3387, 36189, 697, 11179, 473, 1369, 3538, 41051, 5761, 934, 20111, 16, 2733, 2175, 16, 49612, 7269, 30157, 17, 16024, 48787, 16, 1320, 322, 11666, 2339, 21296, 8720, 291, 541, 10195, 18, 1483, 301, 6094, 24765, 16, 478, 684, 10527, 791, 910, 2686, 16, 11326, 300, 10116, 597, 583, 1807, 651, 1992, 473, 864, 425, 6197, 13, 33007, 29712, 9731, 1715, 18742, 18, 29609, 2222, 7549, 5768, 16, 281, 1754, 26988, 1970, 17902, 300, 1595, 6426, 281, 4055, 17, 17827, 8944, 761, 18, 1895, 21638, 309, 6931, 906, 28528, 1809, 651, 4289, 3498, 301, 350, 1453, 289, 29338, 448, 478, 684, 10527, 791, 470, 5029, 326, 1139, 322, 30887, 16, 367, 7117, 5640, 266, 1775, 322, 6336, 3306, 47620, 26988, 22686, 282, 2411, 1873, 1669, 1484, 294, 47643, 2771, 4260, 18, 403, 21178, 4434, 6710, 3349, 10091, 16, 9705, 16, 322, 48685, 651, 11959, 865, 505, 7337, 519, 4319, 1326, 37279, 294, 21555, 6528, 396, 502, 16, 4427, 492, 8874, 334, 5741, 17, 277, 1935, 6500, 424, 8440, 9338, 415, 7641, 2176, 16, 289, 6661, 651, 290, 970, 16, 374, 575, 4983, 1251, 1498, 289, 21020, 406, 16646, 282, 6835, 17, 17553, 282, 8151, 11238, 17, 292, 18, 459, 867, 2898, 968, 24765, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 470, 510, 8385, 16, 282, 1754, 26988, 1970, 2548, 290, 970, 16, 290, 828, 975, 5425, 6861, 18, 478, 672, 11749, 883, 5543, 49022, 910, 10954, 1545, 17519, 282, 27648, 11724, 368, 16, 14782, 19019, 290, 41424, 36148, 16, 289, 6174, 2301, 24714, 1336, 651, 2521, 373, 4546, 968, 25901, 14241, 349, 13258, 1097, 19528, 18, 20363, 742, 8486, 1122, 575, 16, 988, 21411, 39837, 16, 651, 282, 478, 353, 298, 16, 1174, 274, 11100, 15144, 658, 20544, 11593, 478, 1009, 271, 809, 647, 12753, 18, 365, 3035, 32320, 18, 2901, 987, 11988, 770, 5419, 476, 313, 18, 1397, 16, 28635, 16, 4700, 16602, 3739, 360, 35852, 694, 393, 8910, 35, 23141, 7600, 285, 35, 5890, 529, 414, 18, 365, 19189, 2657, 530, 35, 5890, 685, 18, 6831, 9006, 1846, 289, 349, 12829, 1668, 295, 1575, 727, 17733, 562, 304, 14366, 6860, 9993, 16, 22189, 26988, 22686, 17, 1369, 12136, 16, 19840, 47023, 282, 4101, 3142, 473, 11445, 12101, 24765, 651, 726, 27596, 1011, 8421, 411, 16886, 934, 510, 481, 1728, 5064, 30224, 2254, 1815, 5335, 16, 2990, 309, 1029, 5184, 1494, 13303, 6310, 18, 9374, 36439, 473, 267, 3279, 26988, 22686, 13962, 1166, 289, 2024, 492, 16773, 322, 895, 13, 764, 282, 19817, 17, 277, 1045, 17453, 4615, 16, 374, 282, 23838, 1612, 47134, 28270, 487, 1595, 5667, 16, 4881, 12304, 360, 1512, 289, 10906, 3111, 1472, 702, 281, 4413, 18, 1178, 329, 2616, 17, 299, 912, 9012, 282, 970, 16, 374, 870, 16451, 2833, 17322, 751, 16, 502, 975, 2353, 16012, 3591, 42890, 2894, 18, 3026, 651, 10598, 541, 48570, 16, 282, 2903, 2529, 6003, 978, 1694, 16, 541, 8752, 3463, 478, 5218, 1947, 30407, 910, 2552, 3203, 1754, 9414, 26692, 2200, 23316, 277, 29587, 3536, 3359, 865, 18, 26988, 1970, 1335, 21198, 16160, 286, 16, 428, 16160, 286, 492, 289, 9716, 8401, 14908, 16, 35888, 3348, 411, 3322, 22290, 3314, 349, 17784, 12137, 18, 769, 1184, 742, 24714, 50180, 26988, 22686, 478, 618, 2022, 435, 27688, 5321, 272, 6526, 470, 1860, 1360, 40782, 23886, 761, 492, 475, 3066, 8471, 16465, 16687, 612, 16, 17518, 1757, 309, 14668, 34613, 1378 ]
[ 26908, 933, 14560, 1356, 30, 2820, 453, 575, 492, 2139, 15172, 773, 282, 3247, 10865, 16, 13058, 3851, 289, 4778, 15463, 353, 6905, 1354, 16, 16907, 549, 12412, 1639, 634, 3792, 579, 10562, 2309, 28769, 3059, 277, 1996, 22191, 718, 43872, 429, 18, 15223, 17323, 2895, 492, 289, 294, 37383, 30, 478, 1358, 2946, 1209, 8334, 40153, 631, 25304, 16, 3136, 581, 655, 439, 2616, 5428, 387, 35, 14201, 4431, 35, 1665, 2567, 43678, 655, 439, 3534, 4431, 5231, 560, 6860, 740, 1542, 26818, 280, 622, 16, 3073, 16, 3848, 1480, 8620, 8475, 6669, 17399, 19997, 668, 359, 1569, 425, 289, 37541, 7555, 8121, 18, 3557, 1033, 374, 1634, 18745, 712, 492, 18021, 322, 37726, 30, 478, 1358, 8164, 475, 16, 374, 48565, 336, 954, 16, 40113, 300, 417, 282, 8729, 334, 12524, 954, 18, 33301, 5630, 697, 13195, 364, 519, 3437, 16, 385, 8944, 761, 17, 5486, 761, 16975, 703, 18456, 655, 3739, 685, 8716, 1390, 336, 617, 1082, 16, 3739, 685, 5545, 286, 1601, 18260, 281, 6658, 400, 1082, 655, 47441, 16, 505, 11175, 50059, 21023, 629, 685, 3025, 1335, 31200, 588, 348, 426, 6317, 6860, 1591, 1209, 6042, 1378, 289, 22788, 349, 3617, 1082, 25232, 3199, 39812, 36165, 19703, 4573, 18688, 9884, 24793, 18, 26988, 1970, 17, 1369, 5353, 481, 27413, 6965, 26988, 1970, 651, 2332, 20224, 19354, 17534, 492, 322, 45689, 6345, 738, 13650, 758, 29587, 12915, 289, 322, 26136, 5522, 18339, 16, 3235, 1728, 9269, 18, 817, 30328, 5301, 2036, 1514, 1833, 16, 590, 39807, 1063, 281, 1503, 382, 309, 1503, 454, 16, 367, 360, 35500, 354, 40738, 6946, 294, 20289, 5583, 23277, 11142, 395, 18, 817, 322, 6267, 1812, 11449, 5925, 21299, 1082, 670, 2031, 758, 37065, 16, 10711, 1718, 2147, 1336, 428, 26192, 12098, 5338, 23793, 13214, 8463, 18, 817, 1494, 3153, 16, 374, 1631, 322, 5106, 749, 19524, 289, 492, 16, 2091, 16, 25187, 33961, 2582, 965, 282, 9823, 19478, 13971, 5510, 16, 35311, 3038, 8957, 360, 11483, 1406, 20532, 18, 740, 1542, 28231, 622, 651, 28231, 622, 311, 10248, 651, 36267, 4070, 1068, 18, 1268, 1710, 741, 305, 6919, 33619, 483, 16, 6478, 41045, 50138, 289, 393, 15697, 277, 8779, 3792, 18, 459, 15880, 16, 374, 1299, 428, 3000, 536, 33860, 942, 44515, 47137, 554, 35493, 1134, 14121, 272, 16, 492, 726, 1320, 29817, 1190, 583, 309, 21090, 7759, 30, 478, 1358, 16, 329, 2616, 411, 7741, 289, 4823, 322, 1513, 19483, 10226, 16, 459, 554, 428, 28472, 2000, 289, 1927, 306, 334, 17, 32636, 1465, 16, 2502, 1744, 428, 12942, 271, 309, 8011, 41182, 18, 7485, 16, 24298, 16, 6118, 5, 35548, 1042, 1337, 5, 35548, 1042, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 672, 1321, 5136, 5264, 294, 453, 9068, 16, 43347, 291, 4068, 567, 6477, 478, 36337, 416, 2793, 470, 281, 4199, 1703, 5508, 304, 16, 29039, 16775, 9637, 14697, 18, 421, 11740, 4504, 749, 28081, 29862, 906, 10095, 38297, 8312, 16523, 37731, 2145, 3875, 18, 4756, 4770, 1175, 4137, 6732, 309, 16544, 547, 4473, 46465, 11073, 33913, 18747, 11836, 309, 4783, 17740, 330, 11440, 9808, 309, 26513, 8535, 1175, 18, 31224, 30, 3096, 3567, 539, 37647, 2235, 282, 20735, 1286, 17, 361, 12238, 434, 10881, 4257, 2145, 2766, 576, 309, 502, 16, 374, 31460, 5136, 1858, 16151, 294, 453, 9068, 5577, 432, 13759, 483, 282, 7044, 16, 24384, 6036, 567, 808, 478, 36337, 416, 2793, 470, 281, 4199, 1703, 5508, 304, 651, 381, 803, 5301, 2689, 1880, 22723, 10958, 2109, 7436, 654, 2109, 1566, 84, 573, 18, 421, 11740, 4504, 749, 28081, 29862, 906, 10095, 38297, 8312, 16523, 37731, 2145, 4199, 2818, 10134, 272, 18, 478, 4348, 5684, 47585, 6938, 20479, 506, 282, 36403, 910, 510, 4848, 9966, 491, 17, 295, 39962, 16009, 10948, 688, 1117, 688, 300, 2587, 266, 18, 2877, 10169, 2145, 3424, 27944, 9137, 13325, 4001, 2198, 37647, 2150, 16, 3387, 678, 27955, 4164, 294, 4676, 16523, 31460, 11494, 16, 17980, 428, 9240, 3878, 12761, 3402, 18, 1253, 20165, 34664, 647, 5922, 6114, 18, 478, 4348, 3984, 2240, 481, 309, 6576, 416, 5137, 18, 1787, 6714, 411, 3338, 23036, 2874, 3193, 1747, 34664, 276, 309, 6449, 37572, 482, 18, 459, 481, 1904, 541, 2759, 9526, 3623, 18, 889, 475, 25907, 309, 11573, 2235, 23036, 289, 6819, 622, 910, 510, 1109, 9128, 30181, 20280, 23836, 4257, 2145, 282, 7044, 6118, 17, 32743, 6260, 528, 1368, 1465, 18, 1787, 5538, 3500, 2722, 11673, 40885, 1275, 281, 8312, 10528, 727, 1701, 17, 983, 326, 1265, 282, 1782, 890, 409, 1038, 2438, 2537, 7001, 12231, 31342, 4256, 1123, 1608, 13220, 334, 34965, 21811, 1333, 16, 961, 898, 282, 19226, 4996, 5009, 7372, 1011, 9512, 478, 36337, 416, 2793, 861, 478, 20186, 883, 17816, 4257, 2145, 14084, 16109, 282, 3734, 1045, 16, 5421, 2452, 37717, 4568, 1333, 5264, 281, 3165, 1082, 4652, 1248, 1205, 411, 17, 431, 924, 16, 374, 21183, 21238, 282, 6491, 3623, 910, 510, 9848, 528, 1368, 1465, 18, 16909, 2301, 5887, 840, 11392, 282, 20735, 4652, 519, 16838, 4238, 16, 2170, 274, 14611, 477, 9490, 3376, 411, 25520, 6617, 16, 5657, 7194, 411, 27560, 4257, 282, 21700, 5706, 18, 478, 4441, 1715, 428, 827, 373, 656, 1139, 4732, 18915, 1122, 16, 988, 16209, 910, 510, 1109, 688, 300, 2587, 266, 16, 13479, 12559, 10258, 1293, 2868, 309, 14611, 292, 309, 2268, 27007, 450, 489, 1602, 17, 19572, 350, 2557, 309, 9839, 17, 31829, 15500, 18, 740, 1830, 14611, 28630, 5317, 1807, 3321, 4024, 24596, 9808, 282, 7044, 16, 12378, 3586, 290, 10111, 4257, 42346, 27920, 309, 20928, 9158, 7204, 9804, 16, 29039, 16775, 9637, 34450, 18, 20346, 18165, 14995, 9808, 5875, 9192, 22687, 2274, 10057, 2815, 16, 374, 2553, 41724, 2961, 7267, 11608, 309, 23478, 411, 17, 431, 1175, 18, 824, 505, 3163, 16, 10172, 8506, 2961, 7267, 11608, 322, 541, 924, 16, 753, 44464, 21935, 2145, 5035, 433, 554, 16078, 864, 18, 478, 4348, 7967, 1033, 37112, 6551, 16, 656, 7967, 18981, 309, 3338, 30517, 910, 510, 5692, 22687, 2274, 10057, 18, 817, 1038, 9299, 16, 374, 18276, 478, 324, 3417, 9, 371, 551, 15697, 9808, 910, 5923, 727, 4742, 18, 365, 3998, 20420, 5196, 4770, 1175, 4137, 6732, 309, 16544, 547, 4473, 46465, 11073, 33913, 20286, 5119, 3623, 11836, 309, 4783, 17740, 330, 11440, 9808, 309, 26513, 8535, 1175, 18, 478, 677, 13445, 5781, 14510, 14968, 24148, 8312, 17213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26908, 933, 14560, 1356, 30, 2820, 453, 575, 492, 2139, 15172, 773, 282, 3247, 10865, 16, 13058, 3851, 289, 4778, 15463, 353, 6905, 1354, 16, 16907, 549, 12412, 1639, 634, 3792, 579, 10562, 2309, 28769, 3059, 277, 1996, 22191, 718, 43872, 429, 18, 15223, 17323, 2895, 492, 289, 294, 37383, 30, 478, 1358, 2946, 1209, 8334, 40153, 631, 25304, 16, 3136, 581, 655, 439, 2616, 5428, 387, 35, 14201, 4431, 35, 1665, 2567, 43678, 655, 439, 3534, 4431, 5231, 560, 6860, 740, 1542, 26818, 280, 622, 16, 3073, 16, 3848, 1480, 8620, 8475, 6669, 17399, 19997, 668, 359, 1569, 425, 289, 37541, 7555, 8121, 18, 3557, 1033, 374, 1634, 18745, 712, 492, 18021, 322, 37726, 30, 478, 1358, 8164, 475, 16, 374, 48565, 336, 954, 16, 40113, 300, 417, 282, 8729, 334, 12524, 954, 18, 33301, 5630, 697, 13195, 364, 519, 3437, 16, 385, 8944, 761, 17, 5486, 761, 16975, 703, 18456, 655, 3739, 685, 8716, 1390, 336, 617, 1082, 16, 3739, 685, 5545, 286, 1601, 18260, 281, 6658, 400, 1082, 655, 47441, 16, 505, 11175, 50059, 21023, 629, 685, 3025, 1335, 31200, 588, 348, 426, 6317, 6860, 1591, 1209, 6042, 1378, 289, 22788, 349, 3617, 1082, 25232, 3199, 39812, 36165, 19703, 4573, 18688, 9884, 24793, 18, 26988, 1970, 17, 1369, 5353, 481, 27413, 6965, 26988, 1970, 651, 2332, 20224, 19354, 17534, 492, 322, 45689, 6345, 738, 13650, 758, 29587, 12915, 289, 322, 26136, 5522, 18339, 16, 3235, 1728, 9269, 18, 817, 30328, 5301, 2036, 1514, 1833, 16, 590, 39807, 1063, 281, 1503, 382, 309, 1503, 454, 16, 367, 360, 35500, 354, 40738, 6946, 294, 20289, 5583, 23277, 11142, 395, 18, 817, 322, 6267, 1812, 11449, 5925, 21299, 1082, 670, 2031, 758, 37065, 16, 10711, 1718, 2147, 1336, 428, 26192, 12098, 5338, 23793, 13214, 8463, 18, 817, 1494, 3153, 16, 374, 1631, 322, 5106, 749, 19524, 289, 492, 16, 2091, 16, 25187, 33961, 2582, 965, 282, 9823, 19478, 13971, 5510, 16, 35311, 3038, 8957, 360, 11483, 1406, 20532, 18, 740, 1542, 28231, 622, 651, 28231, 622, 311, 10248, 651, 36267, 4070, 1068, 18, 1268, 1710, 741, 305, 6919, 33619, 483, 16, 6478, 41045, 50138, 289, 393, 15697, 277, 8779, 3792, 18, 459, 15880, 16, 374, 1299, 428, 3000, 536, 33860, 942, 44515, 47137, 554, 35493, 1134, 14121, 272, 16, 492, 726, 1320, 29817, 1190, 583, 309, 21090, 7759, 30, 478, 1358, 16, 329, 2616, 411, 7741, 289, 4823, 322, 1513, 19483, 10226, 16, 459, 554, 428, 28472, 2000, 289, 1927, 306, 334, 17, 32636, 1465, 16, 2502, 1744, 428, 12942, 271, 309, 8011, 41182, 18, 7485, 16, 24298, 16, 6118, 5, 35548, 1042, 1337, 5, 35548, 1042, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 672, 1321, 5136, 5264, 294, 453, 9068, 16, 43347, 291, 4068, 567, 6477, 478, 36337, 416, 2793, 470, 281, 4199, 1703, 5508, 304, 16, 29039, 16775, 9637, 14697, 18, 421, 11740, 4504, 749, 28081, 29862, 906, 10095, 38297, 8312, 16523, 37731, 2145, 3875, 18, 4756, 4770, 1175, 4137, 6732, 309, 16544, 547, 4473, 46465, 11073, 33913, 18747, 11836, 309, 4783, 17740, 330, 11440, 9808, 309, 26513, 8535, 1175, 18, 31224, 30, 3096, 3567, 539, 37647, 2235, 282, 20735, 1286, 17, 361, 12238, 434, 10881, 4257, 2145, 2766, 576, 309, 502, 16, 374, 31460, 5136, 1858, 16151, 294, 453, 9068, 5577, 432, 13759, 483, 282, 7044, 16, 24384, 6036, 567, 808, 478, 36337, 416, 2793, 470, 281, 4199, 1703, 5508, 304, 651, 381, 803, 5301, 2689, 1880, 22723, 10958, 2109, 7436, 654, 2109, 1566, 84, 573, 18, 421, 11740, 4504, 749, 28081, 29862, 906, 10095, 38297, 8312, 16523, 37731, 2145, 4199, 2818, 10134, 272, 18, 478, 4348, 5684, 47585, 6938, 20479, 506, 282, 36403, 910, 510, 4848, 9966, 491, 17, 295, 39962, 16009, 10948, 688, 1117, 688, 300, 2587, 266, 18, 2877, 10169, 2145, 3424, 27944, 9137, 13325, 4001, 2198, 37647, 2150, 16, 3387, 678, 27955, 4164, 294, 4676, 16523, 31460, 11494, 16, 17980, 428, 9240, 3878, 12761, 3402, 18, 1253, 20165, 34664, 647, 5922, 6114, 18, 478, 4348, 3984, 2240, 481, 309, 6576, 416, 5137, 18, 1787, 6714, 411, 3338, 23036, 2874, 3193, 1747, 34664, 276, 309, 6449, 37572, 482, 18, 459, 481, 1904, 541, 2759, 9526, 3623, 18, 889, 475, 25907, 309, 11573, 2235, 23036, 289, 6819, 622, 910, 510, 1109, 9128, 30181, 20280, 23836, 4257, 2145, 282, 7044, 6118, 17, 32743, 6260, 528, 1368, 1465, 18, 1787, 5538, 3500, 2722, 11673, 40885, 1275, 281, 8312, 10528, 727, 1701, 17, 983, 326, 1265, 282, 1782, 890, 409, 1038, 2438, 2537, 7001, 12231, 31342, 4256, 1123, 1608, 13220, 334, 34965, 21811, 1333, 16, 961, 898, 282, 19226, 4996, 5009, 7372, 1011, 9512, 478, 36337, 416, 2793, 861, 478, 20186, 883, 17816, 4257, 2145, 14084, 16109, 282, 3734, 1045, 16, 5421, 2452, 37717, 4568, 1333, 5264, 281, 3165, 1082, 4652, 1248, 1205, 411, 17, 431, 924, 16, 374, 21183, 21238, 282, 6491, 3623, 910, 510, 9848, 528, 1368, 1465, 18, 16909, 2301, 5887, 840, 11392, 282, 20735, 4652, 519, 16838, 4238, 16, 2170, 274, 14611, 477, 9490, 3376, 411, 25520, 6617, 16, 5657, 7194, 411, 27560, 4257, 282, 21700, 5706, 18, 478, 4441, 1715, 428, 827, 373, 656, 1139, 4732, 18915, 1122, 16, 988, 16209, 910, 510, 1109, 688, 300, 2587, 266, 16, 13479, 12559, 10258, 1293, 2868, 309, 14611, 292, 309, 2268, 27007, 450, 489, 1602, 17, 19572, 350, 2557, 309, 9839, 17, 31829, 15500, 18, 740, 1830, 14611, 28630, 5317, 1807, 3321, 4024, 24596, 9808, 282, 7044, 16, 12378, 3586, 290, 10111, 4257, 42346, 27920, 309, 20928, 9158, 7204, 9804, 16, 29039, 16775, 9637, 34450, 18, 20346, 18165, 14995, 9808, 5875, 9192, 22687, 2274, 10057, 2815, 16, 374, 2553, 41724, 2961, 7267, 11608, 309, 23478, 411, 17, 431, 1175, 18, 824, 505, 3163, 16, 10172, 8506, 2961, 7267, 11608, 322, 541, 924, 16, 753, 44464, 21935, 2145, 5035, 433, 554, 16078, 864, 18, 478, 4348, 7967, 1033, 37112, 6551, 16, 656, 7967, 18981, 309, 3338, 30517, 910, 510, 5692, 22687, 2274, 10057, 18, 817, 1038, 9299, 16, 374, 18276, 478, 324, 3417, 9, 371, 551, 15697, 9808, 910, 5923, 727, 4742, 18, 365, 3998, 20420, 5196, 4770, 1175, 4137, 6732, 309, 16544, 547, 4473, 46465, 11073, 33913, 20286, 5119, 3623, 11836, 309, 4783, 17740, 330, 11440, 9808, 309, 26513, 8535, 1175, 18, 478, 677, 13445, 5781, 14510, 14968, 24148, 8312, 17213 ]
[ 9808, 16, 367, 3003, 2145, 6863, 411, 15139, 4047, 290, 18531, 8187, 11924, 289, 14975, 48108, 510, 11165, 3321, 294, 683, 669, 548, 10985, 3025, 2926, 35664, 282, 6491, 13858, 3623, 18, 889, 16, 13649, 16, 22431, 2204, 15350, 20696, 16, 289, 16, 294, 6095, 16, 322, 282, 24235, 2580, 910, 510, 9848, 9805, 5222, 18, 365, 1335, 2630, 492, 18519, 6814, 26878, 14392, 16, 43170, 1827, 3673, 289, 13652, 18911, 18747, 18221, 289, 2532, 19677, 5348, 16, 16115, 18622, 289, 1619, 6011, 11291, 49472, 8266, 18, 365, 11526, 1555, 23740, 547, 25223, 9808, 13462, 16, 374, 23970, 267, 7243, 1788, 32645, 20348, 282, 9804, 21938, 5420, 16, 1586, 9452, 282, 41079, 12783, 13811, 1333, 9808, 282, 505, 22379, 2331, 18, 889, 10074, 10685, 281, 45649, 334, 44596, 510, 21630, 5885, 16, 17715, 17003, 289, 5154, 2206, 18, 365, 11826, 1045, 16, 5130, 282, 30989, 16, 11517, 9808, 19521, 309, 30539, 8292, 282, 4015, 547, 4993, 13435, 2868, 4226, 6459, 16, 428, 481, 639, 4419, 16, 5923, 391, 26448, 18, 365, 11023, 6705, 779, 6732, 282, 4542, 3084, 3781, 17, 19858, 9848, 16, 374, 478, 13776, 1162, 20889, 470, 1623, 20092, 761, 477, 1963, 16101, 18, 478, 10768, 3805, 16, 6332, 4573, 44863, 20889, 16, 4345, 322, 9193, 978, 9468, 1489, 16, 1381, 1279, 2616, 17, 299, 497, 332, 23997, 18, 17135, 1175, 510, 481, 1904, 16, 11113, 1712, 8711, 549, 4985, 342, 910, 510, 1109, 9805, 5222, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9266, 296, 599, 263, 16, 11147, 9266, 342, 465, 16, 22588, 31239, 12028, 1171, 4656, 16, 2197, 411, 14795, 282, 2968, 411, 46346, 36083, 1941, 6340, 18, 20130, 28329, 15119, 2944, 726, 19104, 953, 37805, 16, 20411, 374, 478, 26704, 84, 89, 17, 470, 282, 1847, 49213, 11116, 785, 17, 299, 1717, 411, 17, 431, 1129, 18, 31224, 30, 677, 5305, 5118, 281, 867, 16, 428, 17993, 38327, 12647, 8786, 1800, 16, 1837, 845, 4220, 30902, 2389, 12028, 1171, 4656, 4440, 2458, 27257, 1254, 16, 13400, 29711, 16, 31104, 1702, 26726, 16, 1137, 2497, 289, 13423, 1924, 7435, 18, 26632, 8260, 12028, 1171, 4656, 2703, 4826, 9919, 536, 473, 1369, 8823, 294, 9266, 342, 1427, 13, 30512, 2381, 13362, 11548, 29441, 1033, 40319, 15021, 281, 28385, 1611, 5326, 289, 4014, 13108, 36083, 2466, 8520, 18, 365, 2875, 6958, 1901, 39307, 14088, 3275, 3570, 30775, 898, 14805, 444, 16, 27275, 20564, 16, 1180, 32754, 44576, 61, 20414, 16, 35420, 44, 7463, 473, 27225, 2232, 40562, 33409, 21381, 82, 13, 289, 31881, 45, 18, 25127, 49064, 6367, 15119, 1320, 4430, 3576, 30, 12652, 448, 38532, 31733, 25786, 40, 16, 1021, 561, 3618, 77, 16, 40262, 1624, 20044, 289, 1059, 58, 23459, 20114, 18, 28064, 2094, 1653, 17059, 16, 374, 942, 639, 14428, 309, 18860, 16, 282, 11683, 2236, 19000, 33245, 10565, 4385, 16, 2391, 1795, 406, 1190, 3953, 5873, 2826, 14088, 32913, 4857, 8578, 353, 16, 47026, 289, 8677, 2389, 18, 8110, 13932, 281, 27275, 20564, 969, 974, 74, 4456, 18, 26552, 4153, 2888, 18033, 6779, 9479, 755, 281, 1033, 22304, 289, 32488, 541, 46634, 1810, 41260, 2944, 20936, 305, 282, 7570, 18, 11712, 309, 33146, 845, 13198, 18860, 769, 21452, 3785, 1185, 534, 42632, 15075, 1423, 11840, 668, 22990, 1770, 21, 28646, 70, 8441, 30, 11329, 1476, 16811, 16, 309, 2615, 2193, 16, 24408, 343, 2352, 262, 2004, 4973, 289, 895, 19821, 11212, 315, 510, 282, 3106, 27257, 871, 18, 365, 4542, 33146, 845, 12028, 1171, 4656, 4479, 1653, 1543, 575, 27275, 20564, 22644, 1302, 6350, 969, 974, 20834, 49678, 510, 478, 354, 296, 1123, 454, 470, 281, 12673, 1861, 416, 1438, 17, 775, 2206, 18, 640, 769, 21452, 4440, 46637, 21437, 12523, 6406, 8727, 42257, 510, 1438, 17, 45092, 541, 35032, 16, 2027, 24131, 282, 6575, 17, 8422, 8803, 24408, 343, 18, 430, 27275, 20564, 969, 974, 74, 4456, 510, 25096, 289, 16, 428, 17468, 16, 3147, 11840, 539, 5969, 8059, 5018, 26313, 1640, 18, 365, 28059, 477, 13400, 399, 1305, 281, 40691, 36590, 11329, 25716, 1032, 16, 23, 470, 282, 7204, 1750, 12789, 1533, 16, 21, 470, 1438, 17, 22821, 282, 19145, 478, 354, 296, 36610, 910, 309, 21222, 32524, 1754, 3164, 16851, 39388, 281, 36120, 650, 9037, 36522, 510, 502, 1186, 17, 275, 17, 299, 1186, 334, 32613, 35032, 18, 1178, 39329, 28791, 18839, 30886, 289, 6819, 622, 16, 492, 45745, 281, 1807, 37691, 289, 15123, 505, 19697, 2175, 18, 1178, 575, 10012, 18959, 282, 1033, 27177, 14980, 289, 19463, 277, 761, 9897, 2659, 510, 37691, 6550, 454, 484, 281, 27257, 8328, 16, 7150, 16791, 484, 282, 505, 11075, 18, 491, 29957, 2234, 334, 11346, 2987, 16, 515, 39455, 334, 41037, 8677, 266, 387, 4826, 309, 11495, 3448, 476, 34534, 41, 12028, 20855, 18, 3863, 18460, 17854, 1320, 12016, 34073, 451, 23969, 281, 37988, 9125, 309, 28452, 16, 2686, 37691, 282, 7204, 1750, 322, 24385, 424, 36120, 668, 26029, 16, 367, 1662, 2480, 484, 282, 40250, 26189, 18, 740, 4836, 16, 1658, 16, 27, 470, 43920, 2110, 39406, 34534, 41, 12028, 20855, 4452, 322, 281, 3348, 48778, 13400, 399, 1305, 16, 367, 281, 18198, 16, 1029, 9378, 975, 334, 34559, 2675, 18, 4922, 20694, 16, 428, 19988, 16, 840, 27098, 309, 44124, 16199, 726, 282, 8780, 19936, 20420, 779, 510, 334, 10811, 2364, 4843, 4003, 18, 365, 5329, 16, 31718, 2497, 36194, 12028, 1171, 4656, 4440, 9166, 2602, 360, 381, 29641, 31144, 27257, 6464, 510, 289, 9972, 322, 38938, 473, 408, 29690, 282, 3106, 1621, 42365, 17, 15507, 287, 13607, 13768, 22822, 428, 9266, 342, 465, 16, 453, 289, 1436, 10043, 11612, 934, 289, 2702, 7004, 432, 18, 996, 16, 31881, 45, 15075, 478, 354, 296, 36610, 470, 1234, 3796, 52, 974, 12141, 43590, 1533, 16, 309, 2361, 33819, 547, 769, 1956, 4656, 776, 28, 16, 281, 1061, 2783, 421, 12538, 266, 1075, 29775, 16, 1032, 528, 12538, 266, 16686, 1734, 5806, 473, 30931, 35774, 7072, 2364, 4843, 18442, 13, 289, 12141, 43590, 1409, 473, 263, 1840, 1033, 49542, 2451, 289, 12650, 1270, 34073, 814, 8444, 5731, 1171, 10413, 9321, 18101, 1421, 27257, 871, 309, 8285, 24776, 510, 1533, 470, 1059, 2479, 39, 50, 2783, 289, 1658, 470, 1059, 8174, 39, 50, 754, 309, 2054, 22249, 781, 1059, 58, 23459, 20114, 786, 4353, 1509, 491, 16, 5826, 541, 25090, 7043, 16, 367, 1038, 478, 46256, 2110, 470, 34073, 1488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9808, 16, 367, 3003, 2145, 6863, 411, 15139, 4047, 290, 18531, 8187, 11924, 289, 14975, 48108, 510, 11165, 3321, 294, 683, 669, 548, 10985, 3025, 2926, 35664, 282, 6491, 13858, 3623, 18, 889, 16, 13649, 16, 22431, 2204, 15350, 20696, 16, 289, 16, 294, 6095, 16, 322, 282, 24235, 2580, 910, 510, 9848, 9805, 5222, 18, 365, 1335, 2630, 492, 18519, 6814, 26878, 14392, 16, 43170, 1827, 3673, 289, 13652, 18911, 18747, 18221, 289, 2532, 19677, 5348, 16, 16115, 18622, 289, 1619, 6011, 11291, 49472, 8266, 18, 365, 11526, 1555, 23740, 547, 25223, 9808, 13462, 16, 374, 23970, 267, 7243, 1788, 32645, 20348, 282, 9804, 21938, 5420, 16, 1586, 9452, 282, 41079, 12783, 13811, 1333, 9808, 282, 505, 22379, 2331, 18, 889, 10074, 10685, 281, 45649, 334, 44596, 510, 21630, 5885, 16, 17715, 17003, 289, 5154, 2206, 18, 365, 11826, 1045, 16, 5130, 282, 30989, 16, 11517, 9808, 19521, 309, 30539, 8292, 282, 4015, 547, 4993, 13435, 2868, 4226, 6459, 16, 428, 481, 639, 4419, 16, 5923, 391, 26448, 18, 365, 11023, 6705, 779, 6732, 282, 4542, 3084, 3781, 17, 19858, 9848, 16, 374, 478, 13776, 1162, 20889, 470, 1623, 20092, 761, 477, 1963, 16101, 18, 478, 10768, 3805, 16, 6332, 4573, 44863, 20889, 16, 4345, 322, 9193, 978, 9468, 1489, 16, 1381, 1279, 2616, 17, 299, 497, 332, 23997, 18, 17135, 1175, 510, 481, 1904, 16, 11113, 1712, 8711, 549, 4985, 342, 910, 510, 1109, 9805, 5222, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9266, 296, 599, 263, 16, 11147, 9266, 342, 465, 16, 22588, 31239, 12028, 1171, 4656, 16, 2197, 411, 14795, 282, 2968, 411, 46346, 36083, 1941, 6340, 18, 20130, 28329, 15119, 2944, 726, 19104, 953, 37805, 16, 20411, 374, 478, 26704, 84, 89, 17, 470, 282, 1847, 49213, 11116, 785, 17, 299, 1717, 411, 17, 431, 1129, 18, 31224, 30, 677, 5305, 5118, 281, 867, 16, 428, 17993, 38327, 12647, 8786, 1800, 16, 1837, 845, 4220, 30902, 2389, 12028, 1171, 4656, 4440, 2458, 27257, 1254, 16, 13400, 29711, 16, 31104, 1702, 26726, 16, 1137, 2497, 289, 13423, 1924, 7435, 18, 26632, 8260, 12028, 1171, 4656, 2703, 4826, 9919, 536, 473, 1369, 8823, 294, 9266, 342, 1427, 13, 30512, 2381, 13362, 11548, 29441, 1033, 40319, 15021, 281, 28385, 1611, 5326, 289, 4014, 13108, 36083, 2466, 8520, 18, 365, 2875, 6958, 1901, 39307, 14088, 3275, 3570, 30775, 898, 14805, 444, 16, 27275, 20564, 16, 1180, 32754, 44576, 61, 20414, 16, 35420, 44, 7463, 473, 27225, 2232, 40562, 33409, 21381, 82, 13, 289, 31881, 45, 18, 25127, 49064, 6367, 15119, 1320, 4430, 3576, 30, 12652, 448, 38532, 31733, 25786, 40, 16, 1021, 561, 3618, 77, 16, 40262, 1624, 20044, 289, 1059, 58, 23459, 20114, 18, 28064, 2094, 1653, 17059, 16, 374, 942, 639, 14428, 309, 18860, 16, 282, 11683, 2236, 19000, 33245, 10565, 4385, 16, 2391, 1795, 406, 1190, 3953, 5873, 2826, 14088, 32913, 4857, 8578, 353, 16, 47026, 289, 8677, 2389, 18, 8110, 13932, 281, 27275, 20564, 969, 974, 74, 4456, 18, 26552, 4153, 2888, 18033, 6779, 9479, 755, 281, 1033, 22304, 289, 32488, 541, 46634, 1810, 41260, 2944, 20936, 305, 282, 7570, 18, 11712, 309, 33146, 845, 13198, 18860, 769, 21452, 3785, 1185, 534, 42632, 15075, 1423, 11840, 668, 22990, 1770, 21, 28646, 70, 8441, 30, 11329, 1476, 16811, 16, 309, 2615, 2193, 16, 24408, 343, 2352, 262, 2004, 4973, 289, 895, 19821, 11212, 315, 510, 282, 3106, 27257, 871, 18, 365, 4542, 33146, 845, 12028, 1171, 4656, 4479, 1653, 1543, 575, 27275, 20564, 22644, 1302, 6350, 969, 974, 20834, 49678, 510, 478, 354, 296, 1123, 454, 470, 281, 12673, 1861, 416, 1438, 17, 775, 2206, 18, 640, 769, 21452, 4440, 46637, 21437, 12523, 6406, 8727, 42257, 510, 1438, 17, 45092, 541, 35032, 16, 2027, 24131, 282, 6575, 17, 8422, 8803, 24408, 343, 18, 430, 27275, 20564, 969, 974, 74, 4456, 510, 25096, 289, 16, 428, 17468, 16, 3147, 11840, 539, 5969, 8059, 5018, 26313, 1640, 18, 365, 28059, 477, 13400, 399, 1305, 281, 40691, 36590, 11329, 25716, 1032, 16, 23, 470, 282, 7204, 1750, 12789, 1533, 16, 21, 470, 1438, 17, 22821, 282, 19145, 478, 354, 296, 36610, 910, 309, 21222, 32524, 1754, 3164, 16851, 39388, 281, 36120, 650, 9037, 36522, 510, 502, 1186, 17, 275, 17, 299, 1186, 334, 32613, 35032, 18, 1178, 39329, 28791, 18839, 30886, 289, 6819, 622, 16, 492, 45745, 281, 1807, 37691, 289, 15123, 505, 19697, 2175, 18, 1178, 575, 10012, 18959, 282, 1033, 27177, 14980, 289, 19463, 277, 761, 9897, 2659, 510, 37691, 6550, 454, 484, 281, 27257, 8328, 16, 7150, 16791, 484, 282, 505, 11075, 18, 491, 29957, 2234, 334, 11346, 2987, 16, 515, 39455, 334, 41037, 8677, 266, 387, 4826, 309, 11495, 3448, 476, 34534, 41, 12028, 20855, 18, 3863, 18460, 17854, 1320, 12016, 34073, 451, 23969, 281, 37988, 9125, 309, 28452, 16, 2686, 37691, 282, 7204, 1750, 322, 24385, 424, 36120, 668, 26029, 16, 367, 1662, 2480, 484, 282, 40250, 26189, 18, 740, 4836, 16, 1658, 16, 27, 470, 43920, 2110, 39406, 34534, 41, 12028, 20855, 4452, 322, 281, 3348, 48778, 13400, 399, 1305, 16, 367, 281, 18198, 16, 1029, 9378, 975, 334, 34559, 2675, 18, 4922, 20694, 16, 428, 19988, 16, 840, 27098, 309, 44124, 16199, 726, 282, 8780, 19936, 20420, 779, 510, 334, 10811, 2364, 4843, 4003, 18, 365, 5329, 16, 31718, 2497, 36194, 12028, 1171, 4656, 4440, 9166, 2602, 360, 381, 29641, 31144, 27257, 6464, 510, 289, 9972, 322, 38938, 473, 408, 29690, 282, 3106, 1621, 42365, 17, 15507, 287, 13607, 13768, 22822, 428, 9266, 342, 465, 16, 453, 289, 1436, 10043, 11612, 934, 289, 2702, 7004, 432, 18, 996, 16, 31881, 45, 15075, 478, 354, 296, 36610, 470, 1234, 3796, 52, 974, 12141, 43590, 1533, 16, 309, 2361, 33819, 547, 769, 1956, 4656, 776, 28, 16, 281, 1061, 2783, 421, 12538, 266, 1075, 29775, 16, 1032, 528, 12538, 266, 16686, 1734, 5806, 473, 30931, 35774, 7072, 2364, 4843, 18442, 13, 289, 12141, 43590, 1409, 473, 263, 1840, 1033, 49542, 2451, 289, 12650, 1270, 34073, 814, 8444, 5731, 1171, 10413, 9321, 18101, 1421, 27257, 871, 309, 8285, 24776, 510, 1533, 470, 1059, 2479, 39, 50, 2783, 289, 1658, 470, 1059, 8174, 39, 50, 754, 309, 2054, 22249, 781, 1059, 58, 23459, 20114, 786, 4353, 1509, 491, 16, 5826, 541, 25090, 7043, 16, 367, 1038, 478, 46256, 2110, 470, 34073, 1488 ]
[ 470, 1902, 8771, 39, 56, 754, 282, 24430, 375, 6238, 28452, 309, 8285, 4126, 1891, 769, 1956, 4656, 776, 28, 18, 816, 6831, 16967, 34073, 432, 1739, 14641, 1180, 1095, 37645, 3838, 6026, 39704, 701, 1533, 16, 21, 470, 7063, 715, 2479, 5737, 424, 18459, 13740, 1409, 309, 4126, 4642, 40262, 8727, 838, 1059, 25, 6695, 16, 281, 491, 528, 12538, 266, 5806, 1130, 47378, 23, 16, 281, 9817, 17, 1009, 12538, 266, 3566, 22624, 304, 16, 1326, 2389, 29681, 491, 18, 20, 289, 816, 18, 20, 16, 12364, 30842, 47365, 980, 38884, 816, 18, 20, 16, 32573, 17, 31978, 6459, 22, 18, 3572, 631, 19, 75, 19, 82, 16, 816, 18, 25, 43, 289, 1326, 496, 1302, 2907, 13444, 18, 10053, 17, 22821, 541, 978, 1715, 23352, 17, 12428, 3536, 346, 478, 486, 2266, 871, 470, 3814, 8140, 19263, 314, 6117, 1082, 16, 46319, 18933, 2610, 289, 935, 653, 12096, 4115, 304, 18, 1032, 1409, 17, 42668, 2232, 12529, 478, 354, 296, 36610, 470, 1902, 7129, 55, 30616, 1902, 7129, 52, 974, 1409, 92, 309, 1949, 691, 33819, 547, 4126, 4642, 786, 4353, 1509, 491, 9727, 3935, 32410, 13050, 24776, 816, 18, 20, 18, 21, 16, 27883, 5866, 19120, 15037, 289, 2100, 642, 47028, 22099, 47055, 16, 367, 1038, 14830, 3624, 282, 13636, 1021, 55, 21745, 15, 18, 1533, 17, 42668, 1742, 34073, 978, 18990, 16, 1902, 7129, 52, 974, 1533, 26112, 16, 15123, 17834, 430, 16, 25, 17, 1009, 1009, 321, 4126, 350, 40262, 1621, 2007, 23649, 787, 5099, 26, 6695, 16, 37100, 3084, 42779, 473, 6654, 646, 308, 618, 14, 283, 13, 289, 4452, 424, 18459, 13740, 1409, 510, 1830, 8908, 4463, 3058, 289, 24776, 17, 960, 14580, 282, 9484, 12025, 10414, 18, 1061, 22048, 404, 7004, 451, 3149, 294, 12025, 10414, 16643, 3785, 769, 57, 52, 52, 12028, 1171, 657, 18, 14474, 20694, 969, 23339, 21206, 6048, 1807, 9600, 7173, 541, 9588, 282, 7173, 18, 365, 16025, 5937, 39388, 16, 1029, 22351, 541, 9588, 5163, 9305, 16594, 296, 610, 434, 19, 1344, 296, 610, 434, 491, 16, 25, 17, 42668, 715, 37, 15319, 17, 324, 14624, 1731, 16, 2349, 3935, 969, 23339, 21206, 510, 15929, 19409, 549, 24660, 281, 32898, 40, 282, 3106, 21750, 735, 4760, 16, 430, 17, 1009, 1009, 321, 4126, 4520, 26884, 25914, 28256, 4494, 1130, 49, 7703, 3161, 16, 1061, 2783, 421, 12538, 266, 33043, 5806, 16, 10306, 1080, 32573, 17, 31978, 289, 568, 12090, 8943, 541, 17989, 281, 7173, 758, 19138, 4887, 30, 29681, 16, 35665, 289, 2100, 642, 490, 1134, 18, 640, 8594, 969, 23339, 21206, 26772, 1038, 1272, 6797, 354, 39906, 55, 40, 30, 1176, 541, 8822, 5806, 281, 32410, 13050, 473, 324, 3448, 476, 10581, 13049, 24776, 491, 18, 23, 5102, 2107, 510, 541, 32269, 473, 6613, 346, 289, 969, 23339, 21206, 16, 289, 14340, 23969, 13, 21750, 735, 4760, 18, 365, 3198, 942, 7150, 24433, 7702, 2059, 19251, 16, 749, 27652, 17516, 368, 289, 10068, 4760, 16, 14505, 13234, 1251, 5512, 25989, 510, 3057, 16, 1251, 13740, 1409, 16, 1754, 9727, 16300, 4894, 478, 5918, 416, 470, 37491, 16, 289, 24776, 16, 33638, 22366, 309, 20140, 478, 9500, 33644, 470, 969, 23339, 21206, 18, 16251, 2900, 4075, 16, 428, 27827, 16, 14481, 2619, 4843, 4003, 16, 309, 5814, 2650, 895, 19111, 726, 7150, 1248, 4038, 4776, 18, 1665, 289, 282, 4599, 8647, 33898, 23565, 12028, 1171, 4656, 4440, 16, 13649, 16, 5828, 5279, 12980, 7987, 18, 18073, 1580, 24802, 1015, 3741, 10483, 1816, 4126, 3690, 282, 47455, 15119, 322, 4983, 16, 6996, 3448, 700, 898, 39469, 1440, 758, 821, 2389, 510, 428, 309, 3989, 8252, 4357, 309, 9837, 1119, 2054, 22249, 781, 40262, 5099, 12743, 16, 453, 289, 309, 2697, 9878, 40262, 2554, 11842, 16, 12117, 24802, 267, 2024, 2072, 7736, 18, 1286, 2554, 11842, 510, 27381, 5750, 3756, 5222, 272, 35725, 17401, 718, 38288, 16, 768, 10670, 18, 8985, 42323, 14860, 840, 3624, 281, 16970, 4220, 4126, 4520, 16848, 37533, 93, 43963, 17, 41, 18, 1591, 808, 15119, 43970, 539, 8348, 3404, 12129, 1620, 28456, 16, 4770, 2241, 35689, 49, 18, 26468, 4607, 16, 39967, 21289, 1639, 10008, 505, 3785, 16, 349, 4722, 1205, 13122, 46965, 334, 8290, 510, 4426, 2222, 16, 374, 5511, 1223, 1717, 697, 473, 431, 15088, 18496, 18556, 622, 289, 13729, 516, 33732, 13, 28908, 1650, 2873, 3741, 27257, 6464, 289, 41382, 18, 6422, 16, 289, 23819, 16, 289, 45372, 1320, 7393, 309, 1312, 672, 21289, 35689, 49, 18, 27779, 28456, 2815, 16, 374, 294, 9747, 978, 779, 4126, 4607, 35689, 49, 11080, 306, 467, 1760, 9, 29687, 7043, 473, 275, 4675, 808, 697, 14702, 510, 2364, 1533, 21327, 367, 294, 2604, 17, 597, 289, 4521, 3610, 5999, 30296, 424, 478, 277, 5431, 536, 470, 14022, 1812, 1336, 8275, 322, 15597, 687, 41382, 289, 34073, 432, 23969, 16, 515, 289, 4965, 271, 9912, 1580, 24408, 523, 18, 20012, 16, 374, 7969, 12529, 13740, 1488, 473, 660, 13288, 4071, 451, 1726, 290, 1754, 1038, 24494, 282, 4301, 12028, 1171, 4656, 4440, 13, 11654, 9656, 8581, 4164, 309, 8156, 35689, 49, 17, 1961, 17743, 3690, 16, 367, 2419, 745, 10191, 281, 8864, 12260, 1653, 1033, 1611, 11956, 16, 510, 481, 3147, 2628, 18, 1681, 1266, 1849, 519, 12028, 1171, 4656, 4018, 16, 294, 2222, 1612, 8125, 29687, 7043, 4040, 4703, 1033, 2753, 19718, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 13467, 470, 25469, 21567, 3134, 269, 2818, 478, 47604, 877, 470, 473, 23, 30, 24, 814, 365, 8267, 2401, 9528, 10618, 289, 4210, 15136, 642, 18, 13564, 526, 6452, 345, 44930, 365, 5944, 292, 1191, 379, 3641, 29565, 10313, 1676, 8955, 1195, 478, 789, 947, 2610, 470, 473, 24, 30, 22, 814, 478, 563, 455, 10347, 1614, 332, 512, 470, 309, 3177, 27027, 33513, 478, 19386, 7618, 470, 473, 21, 30, 24, 934, 367, 478, 4298, 844, 470, 46621, 334, 28940, 326, 2675, 478, 44230, 11740, 1100, 470, 473, 22, 30, 23, 814, 31224, 30, 822, 1452, 451, 19329, 451, 1119, 12665, 282, 9937, 18, 21694, 478, 13467, 470, 9280, 11497, 990, 39419, 18, 640, 1177, 445, 38331, 10078, 17, 44606, 7550, 11973, 8418, 8616, 282, 4446, 294, 478, 780, 24361, 582, 861, 415, 4525, 4163, 10078, 17, 44606, 639, 10128, 289, 9921, 4443, 16, 374, 2184, 5726, 726, 322, 42129, 18, 981, 289, 6441, 44043, 510, 472, 17159, 7777 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1902, 8771, 39, 56, 754, 282, 24430, 375, 6238, 28452, 309, 8285, 4126, 1891, 769, 1956, 4656, 776, 28, 18, 816, 6831, 16967, 34073, 432, 1739, 14641, 1180, 1095, 37645, 3838, 6026, 39704, 701, 1533, 16, 21, 470, 7063, 715, 2479, 5737, 424, 18459, 13740, 1409, 309, 4126, 4642, 40262, 8727, 838, 1059, 25, 6695, 16, 281, 491, 528, 12538, 266, 5806, 1130, 47378, 23, 16, 281, 9817, 17, 1009, 12538, 266, 3566, 22624, 304, 16, 1326, 2389, 29681, 491, 18, 20, 289, 816, 18, 20, 16, 12364, 30842, 47365, 980, 38884, 816, 18, 20, 16, 32573, 17, 31978, 6459, 22, 18, 3572, 631, 19, 75, 19, 82, 16, 816, 18, 25, 43, 289, 1326, 496, 1302, 2907, 13444, 18, 10053, 17, 22821, 541, 978, 1715, 23352, 17, 12428, 3536, 346, 478, 486, 2266, 871, 470, 3814, 8140, 19263, 314, 6117, 1082, 16, 46319, 18933, 2610, 289, 935, 653, 12096, 4115, 304, 18, 1032, 1409, 17, 42668, 2232, 12529, 478, 354, 296, 36610, 470, 1902, 7129, 55, 30616, 1902, 7129, 52, 974, 1409, 92, 309, 1949, 691, 33819, 547, 4126, 4642, 786, 4353, 1509, 491, 9727, 3935, 32410, 13050, 24776, 816, 18, 20, 18, 21, 16, 27883, 5866, 19120, 15037, 289, 2100, 642, 47028, 22099, 47055, 16, 367, 1038, 14830, 3624, 282, 13636, 1021, 55, 21745, 15, 18, 1533, 17, 42668, 1742, 34073, 978, 18990, 16, 1902, 7129, 52, 974, 1533, 26112, 16, 15123, 17834, 430, 16, 25, 17, 1009, 1009, 321, 4126, 350, 40262, 1621, 2007, 23649, 787, 5099, 26, 6695, 16, 37100, 3084, 42779, 473, 6654, 646, 308, 618, 14, 283, 13, 289, 4452, 424, 18459, 13740, 1409, 510, 1830, 8908, 4463, 3058, 289, 24776, 17, 960, 14580, 282, 9484, 12025, 10414, 18, 1061, 22048, 404, 7004, 451, 3149, 294, 12025, 10414, 16643, 3785, 769, 57, 52, 52, 12028, 1171, 657, 18, 14474, 20694, 969, 23339, 21206, 6048, 1807, 9600, 7173, 541, 9588, 282, 7173, 18, 365, 16025, 5937, 39388, 16, 1029, 22351, 541, 9588, 5163, 9305, 16594, 296, 610, 434, 19, 1344, 296, 610, 434, 491, 16, 25, 17, 42668, 715, 37, 15319, 17, 324, 14624, 1731, 16, 2349, 3935, 969, 23339, 21206, 510, 15929, 19409, 549, 24660, 281, 32898, 40, 282, 3106, 21750, 735, 4760, 16, 430, 17, 1009, 1009, 321, 4126, 4520, 26884, 25914, 28256, 4494, 1130, 49, 7703, 3161, 16, 1061, 2783, 421, 12538, 266, 33043, 5806, 16, 10306, 1080, 32573, 17, 31978, 289, 568, 12090, 8943, 541, 17989, 281, 7173, 758, 19138, 4887, 30, 29681, 16, 35665, 289, 2100, 642, 490, 1134, 18, 640, 8594, 969, 23339, 21206, 26772, 1038, 1272, 6797, 354, 39906, 55, 40, 30, 1176, 541, 8822, 5806, 281, 32410, 13050, 473, 324, 3448, 476, 10581, 13049, 24776, 491, 18, 23, 5102, 2107, 510, 541, 32269, 473, 6613, 346, 289, 969, 23339, 21206, 16, 289, 14340, 23969, 13, 21750, 735, 4760, 18, 365, 3198, 942, 7150, 24433, 7702, 2059, 19251, 16, 749, 27652, 17516, 368, 289, 10068, 4760, 16, 14505, 13234, 1251, 5512, 25989, 510, 3057, 16, 1251, 13740, 1409, 16, 1754, 9727, 16300, 4894, 478, 5918, 416, 470, 37491, 16, 289, 24776, 16, 33638, 22366, 309, 20140, 478, 9500, 33644, 470, 969, 23339, 21206, 18, 16251, 2900, 4075, 16, 428, 27827, 16, 14481, 2619, 4843, 4003, 16, 309, 5814, 2650, 895, 19111, 726, 7150, 1248, 4038, 4776, 18, 1665, 289, 282, 4599, 8647, 33898, 23565, 12028, 1171, 4656, 4440, 16, 13649, 16, 5828, 5279, 12980, 7987, 18, 18073, 1580, 24802, 1015, 3741, 10483, 1816, 4126, 3690, 282, 47455, 15119, 322, 4983, 16, 6996, 3448, 700, 898, 39469, 1440, 758, 821, 2389, 510, 428, 309, 3989, 8252, 4357, 309, 9837, 1119, 2054, 22249, 781, 40262, 5099, 12743, 16, 453, 289, 309, 2697, 9878, 40262, 2554, 11842, 16, 12117, 24802, 267, 2024, 2072, 7736, 18, 1286, 2554, 11842, 510, 27381, 5750, 3756, 5222, 272, 35725, 17401, 718, 38288, 16, 768, 10670, 18, 8985, 42323, 14860, 840, 3624, 281, 16970, 4220, 4126, 4520, 16848, 37533, 93, 43963, 17, 41, 18, 1591, 808, 15119, 43970, 539, 8348, 3404, 12129, 1620, 28456, 16, 4770, 2241, 35689, 49, 18, 26468, 4607, 16, 39967, 21289, 1639, 10008, 505, 3785, 16, 349, 4722, 1205, 13122, 46965, 334, 8290, 510, 4426, 2222, 16, 374, 5511, 1223, 1717, 697, 473, 431, 15088, 18496, 18556, 622, 289, 13729, 516, 33732, 13, 28908, 1650, 2873, 3741, 27257, 6464, 289, 41382, 18, 6422, 16, 289, 23819, 16, 289, 45372, 1320, 7393, 309, 1312, 672, 21289, 35689, 49, 18, 27779, 28456, 2815, 16, 374, 294, 9747, 978, 779, 4126, 4607, 35689, 49, 11080, 306, 467, 1760, 9, 29687, 7043, 473, 275, 4675, 808, 697, 14702, 510, 2364, 1533, 21327, 367, 294, 2604, 17, 597, 289, 4521, 3610, 5999, 30296, 424, 478, 277, 5431, 536, 470, 14022, 1812, 1336, 8275, 322, 15597, 687, 41382, 289, 34073, 432, 23969, 16, 515, 289, 4965, 271, 9912, 1580, 24408, 523, 18, 20012, 16, 374, 7969, 12529, 13740, 1488, 473, 660, 13288, 4071, 451, 1726, 290, 1754, 1038, 24494, 282, 4301, 12028, 1171, 4656, 4440, 13, 11654, 9656, 8581, 4164, 309, 8156, 35689, 49, 17, 1961, 17743, 3690, 16, 367, 2419, 745, 10191, 281, 8864, 12260, 1653, 1033, 1611, 11956, 16, 510, 481, 3147, 2628, 18, 1681, 1266, 1849, 519, 12028, 1171, 4656, 4018, 16, 294, 2222, 1612, 8125, 29687, 7043, 4040, 4703, 1033, 2753, 19718, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 13467, 470, 25469, 21567, 3134, 269, 2818, 478, 47604, 877, 470, 473, 23, 30, 24, 814, 365, 8267, 2401, 9528, 10618, 289, 4210, 15136, 642, 18, 13564, 526, 6452, 345, 44930, 365, 5944, 292, 1191, 379, 3641, 29565, 10313, 1676, 8955, 1195, 478, 789, 947, 2610, 470, 473, 24, 30, 22, 814, 478, 563, 455, 10347, 1614, 332, 512, 470, 309, 3177, 27027, 33513, 478, 19386, 7618, 470, 473, 21, 30, 24, 934, 367, 478, 4298, 844, 470, 46621, 334, 28940, 326, 2675, 478, 44230, 11740, 1100, 470, 473, 22, 30, 23, 814, 31224, 30, 822, 1452, 451, 19329, 451, 1119, 12665, 282, 9937, 18, 21694, 478, 13467, 470, 9280, 11497, 990, 39419, 18, 640, 1177, 445, 38331, 10078, 17, 44606, 7550, 11973, 8418, 8616, 282, 4446, 294, 478, 780, 24361, 582, 861, 415, 4525, 4163, 10078, 17, 44606, 639, 10128, 289, 9921, 4443, 16, 374, 2184, 5726, 726, 322, 42129, 18, 981, 289, 6441, 44043, 510, 472, 17159, 7777 ]
[ 16, 478, 13467, 470, 453, 289, 6088, 309, 15091, 16, 282, 6588, 360, 478, 50157, 354, 910, 1029, 371, 306, 2022, 23253, 718, 18380, 16, 289, 29343, 549, 7193, 726, 29993, 294, 10717, 22979, 17, 21131, 18, 34147, 276, 36174, 2419, 723, 33005, 807, 2787, 1396, 798, 2756, 1472, 8776, 9594, 365, 1177, 445, 309, 27027, 36653, 1272, 15136, 401, 16, 515, 322, 15017, 16, 1139, 2361, 399, 28236, 873, 18, 608, 19671, 1532, 639, 2159, 2258, 17, 1961, 24303, 14262, 16, 374, 575, 47528, 510, 3952, 5971, 466, 343, 670, 31511, 528, 555, 16821, 35, 385, 12196, 291, 873, 3005, 9287, 2948, 282, 2456, 3998, 7977, 1011, 27580, 16015, 46404, 16, 515, 421, 6041, 712, 7563, 46234, 282, 528, 555, 16821, 18, 2046, 2734, 5747, 1614, 1068, 19137, 3225, 17, 2767, 478, 287, 1124, 413, 5466, 470, 8999, 19671, 521, 478, 780, 24361, 382, 861, 1012, 343, 659, 1176, 309, 1176, 16, 6070, 14212, 46234, 282, 3300, 18, 9967, 50172, 20447, 3225, 8782, 844, 506, 18, 768, 1018, 1356, 7243, 1475, 8198, 3732, 5906, 18, 21003, 451, 2972, 20975, 329, 13876, 1790, 7876, 281, 472, 545, 1447, 761, 282, 2343, 4183, 10485, 18, 4149, 3225, 1684, 18070, 18847, 306, 3340, 289, 2255, 328, 1918, 16, 5287, 19886, 6972, 368, 472, 545, 45164, 16, 515, 528, 555, 16821, 282, 38716, 13190, 364, 46234, 18, 632, 21134, 575, 475, 17, 2767, 10469, 2242, 2094, 764, 1871, 15277, 919, 519, 924, 16, 428, 4966, 14416, 309, 2615, 23511, 18, 385, 445, 5793, 282, 2555, 7264, 2401, 9528, 439, 300, 2467, 286, 289, 27675, 1243, 15334, 15090, 18, 1681, 6398, 6740, 42905, 11274, 343, 282, 13090, 10967, 282, 5214, 4629, 17060, 13876, 1790, 2882, 16, 289, 38766, 281, 15277, 3376, 282, 17025, 478, 47604, 486, 910, 515, 2255, 17871, 1653, 575, 48004, 49353, 478, 28345, 470, 289, 17306, 271, 5689, 16, 367, 282, 11671, 1610, 11186, 726, 21567, 3134, 22009, 15090, 42530, 8999, 5971, 466, 343, 18, 1303, 10243, 281, 924, 16, 374, 7653, 2972, 282, 17025, 10078, 17, 44606, 20975, 329, 2151, 18746, 18, 817, 6382, 349, 8999, 5971, 466, 343, 289, 3404, 22447, 309, 478, 293, 35100, 7125, 910, 988, 31327, 2538, 10462, 1356, 16, 1029, 1833, 575, 7730, 6972, 368, 334, 24557, 18, 33005, 807, 13317, 567, 19671, 521, 16, 367, 971, 15090, 1146, 364, 1847, 282, 24362, 8999, 18, 832, 4176, 450, 2157, 755, 1617, 20550, 289, 360, 4744, 820, 632, 554, 1043, 18, 365, 1500, 2083, 15014, 726, 3525, 8740, 2919, 360, 21755, 510, 1032, 30, 22, 18, 35832, 541, 1129, 685, 3147, 6920, 11302, 18, 365, 8151, 11202, 10485, 11973, 4445, 44368, 17, 264, 487, 18, 5093, 575, 639, 428, 17, 299, 733, 32827, 2869, 8616, 18, 832, 3225, 16, 10078, 17, 46796, 322, 7737, 21001, 5906, 478, 31562, 309, 1421, 861, 1268, 413, 8784, 10073, 8782, 844, 506, 4446, 18, 457, 15172, 315, 723, 42636, 8776, 9594, 541, 10078, 17, 44606, 16, 4213, 16, 895, 953, 687, 502, 16, 374, 5402, 1709, 10754, 5009, 2022, 13303, 2235, 519, 37158, 16, 367, 1612, 16, 753, 478, 560, 354, 11852, 470, 10133, 10434, 4104, 7408, 322, 11576, 18, 832, 20846, 16, 374, 2493, 289, 975, 1698, 6622, 5978, 25283, 18, 365, 5944, 292, 1191, 526, 13721, 271, 8440, 526, 2112, 32239, 282, 47501, 29565, 9031, 282, 14208, 328, 309, 10133, 1279, 478, 789, 947, 1347, 861, 27025, 25734, 26749, 948, 401, 6276, 309, 6269, 12901, 17249, 16, 15698, 5977, 7926, 649, 8999, 1034, 5459, 4172, 343, 6769, 18797, 8860, 2810, 11219, 344, 1624, 2024, 322, 453, 2944, 33803, 778, 3216, 14212, 309, 39419, 18, 365, 5271, 478, 9730, 1917, 1356, 470, 23549, 3888, 5836, 16, 26510, 751, 11464, 289, 18326, 42563, 18, 985, 5121, 16, 3872, 18397, 18, 2112, 4056, 1939, 17, 25822, 382, 15014, 1741, 282, 20545, 430, 30, 20, 16, 46234, 46164, 45179, 266, 16, 282, 3998, 6740, 10485, 1034, 5459, 363, 508, 567, 2992, 445, 387, 4131, 15702, 411, 7889, 1011, 4744, 820, 47159, 18, 49492, 1879, 639, 2702, 33803, 4287, 16, 753, 2859, 43048, 319, 3441, 46234, 18, 5014, 40199, 778, 3837, 16, 374, 478, 22878, 333, 470, 7362, 899, 15507, 1763, 341, 16, 3508, 15312, 23026, 18, 459, 322, 438, 1041, 2077, 18, 13925, 1421, 282, 2236, 387, 29543, 33803, 873, 16, 515, 6434, 5745, 322, 2564, 2076, 8438, 22447, 16, 289, 475, 17, 2767, 282, 803, 29235, 30353, 906, 309, 5939, 7646, 18, 365, 5944, 292, 1191, 526, 18406, 7757, 282, 11200, 382, 16, 367, 2512, 7563, 411, 17, 1567, 3873, 1100, 1043, 18, 7362, 899, 712, 322, 10587, 13879, 1519, 46234, 18, 365, 15301, 29235, 281, 25087, 30619, 19869, 289, 688, 525, 404, 343, 13328, 13721, 271, 8440, 526, 18, 41789, 4797, 2948, 282, 8267, 22930, 6729, 5347, 375, 317, 8576, 1624, 2024, 764, 5548, 38331, 33803, 1275, 1714, 321, 1277, 2901, 9277, 3508, 6981, 7011, 1004, 319, 18, 478, 563, 455, 10347, 1614, 332, 512, 910, 5662, 1779, 282, 11441, 345, 4267, 8267, 477, 29565, 1272, 26654, 16, 13694, 478, 19386, 23987, 861, 4320, 329, 12234, 873, 322, 1698, 27505, 1423, 3208, 4368, 10664, 668, 5199, 16, 5071, 1952, 6535, 282, 11976, 20633, 770, 7643, 883, 16, 2391, 289, 26070, 42381, 26527, 280, 380, 758, 541, 25467, 385, 4298, 18, 2112, 4183, 10485, 15014, 18042, 1166, 510, 2239, 30, 22, 18, 1937, 567, 7422, 29235, 15145, 454, 2787, 1396, 15194, 3225, 1763, 4475, 46234, 16, 3903, 16, 374, 492, 23497, 478, 563, 455, 342, 552, 470, 9700, 9227, 10133, 16, 515, 322, 1373, 17, 299, 639, 18, 640, 37563, 4744, 1465, 7857, 513, 15360, 289, 9001, 30619, 19869, 16, 1029, 785, 17, 299, 20727, 309, 6269, 282, 15640, 423, 478, 306, 332, 512, 1275, 910, 282, 594, 404, 2775, 3340, 8055, 639, 27033, 510, 430, 30, 24, 18, 27489, 27338, 20975, 10133, 282, 29375, 18, 18678, 451, 478, 44230, 11740, 285, 470, 687, 282, 7756, 28940, 326, 712, 50253, 478, 4298, 29727, 861, 18098, 668, 46234, 46164, 3720, 21364, 1275, 18, 33728, 3541, 16, 7005, 16287, 289, 2393, 7036, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 1492, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 548, 23566, 4958, 1245, 25371, 309, 3400, 9652, 5534, 49094, 16, 961, 4244, 873, 3168, 5832, 281, 18952, 2535, 16, 753, 19058, 506, 282, 4008, 18, 33671, 5115, 5738, 15032 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 478, 13467, 470, 453, 289, 6088, 309, 15091, 16, 282, 6588, 360, 478, 50157, 354, 910, 1029, 371, 306, 2022, 23253, 718, 18380, 16, 289, 29343, 549, 7193, 726, 29993, 294, 10717, 22979, 17, 21131, 18, 34147, 276, 36174, 2419, 723, 33005, 807, 2787, 1396, 798, 2756, 1472, 8776, 9594, 365, 1177, 445, 309, 27027, 36653, 1272, 15136, 401, 16, 515, 322, 15017, 16, 1139, 2361, 399, 28236, 873, 18, 608, 19671, 1532, 639, 2159, 2258, 17, 1961, 24303, 14262, 16, 374, 575, 47528, 510, 3952, 5971, 466, 343, 670, 31511, 528, 555, 16821, 35, 385, 12196, 291, 873, 3005, 9287, 2948, 282, 2456, 3998, 7977, 1011, 27580, 16015, 46404, 16, 515, 421, 6041, 712, 7563, 46234, 282, 528, 555, 16821, 18, 2046, 2734, 5747, 1614, 1068, 19137, 3225, 17, 2767, 478, 287, 1124, 413, 5466, 470, 8999, 19671, 521, 478, 780, 24361, 382, 861, 1012, 343, 659, 1176, 309, 1176, 16, 6070, 14212, 46234, 282, 3300, 18, 9967, 50172, 20447, 3225, 8782, 844, 506, 18, 768, 1018, 1356, 7243, 1475, 8198, 3732, 5906, 18, 21003, 451, 2972, 20975, 329, 13876, 1790, 7876, 281, 472, 545, 1447, 761, 282, 2343, 4183, 10485, 18, 4149, 3225, 1684, 18070, 18847, 306, 3340, 289, 2255, 328, 1918, 16, 5287, 19886, 6972, 368, 472, 545, 45164, 16, 515, 528, 555, 16821, 282, 38716, 13190, 364, 46234, 18, 632, 21134, 575, 475, 17, 2767, 10469, 2242, 2094, 764, 1871, 15277, 919, 519, 924, 16, 428, 4966, 14416, 309, 2615, 23511, 18, 385, 445, 5793, 282, 2555, 7264, 2401, 9528, 439, 300, 2467, 286, 289, 27675, 1243, 15334, 15090, 18, 1681, 6398, 6740, 42905, 11274, 343, 282, 13090, 10967, 282, 5214, 4629, 17060, 13876, 1790, 2882, 16, 289, 38766, 281, 15277, 3376, 282, 17025, 478, 47604, 486, 910, 515, 2255, 17871, 1653, 575, 48004, 49353, 478, 28345, 470, 289, 17306, 271, 5689, 16, 367, 282, 11671, 1610, 11186, 726, 21567, 3134, 22009, 15090, 42530, 8999, 5971, 466, 343, 18, 1303, 10243, 281, 924, 16, 374, 7653, 2972, 282, 17025, 10078, 17, 44606, 20975, 329, 2151, 18746, 18, 817, 6382, 349, 8999, 5971, 466, 343, 289, 3404, 22447, 309, 478, 293, 35100, 7125, 910, 988, 31327, 2538, 10462, 1356, 16, 1029, 1833, 575, 7730, 6972, 368, 334, 24557, 18, 33005, 807, 13317, 567, 19671, 521, 16, 367, 971, 15090, 1146, 364, 1847, 282, 24362, 8999, 18, 832, 4176, 450, 2157, 755, 1617, 20550, 289, 360, 4744, 820, 632, 554, 1043, 18, 365, 1500, 2083, 15014, 726, 3525, 8740, 2919, 360, 21755, 510, 1032, 30, 22, 18, 35832, 541, 1129, 685, 3147, 6920, 11302, 18, 365, 8151, 11202, 10485, 11973, 4445, 44368, 17, 264, 487, 18, 5093, 575, 639, 428, 17, 299, 733, 32827, 2869, 8616, 18, 832, 3225, 16, 10078, 17, 46796, 322, 7737, 21001, 5906, 478, 31562, 309, 1421, 861, 1268, 413, 8784, 10073, 8782, 844, 506, 4446, 18, 457, 15172, 315, 723, 42636, 8776, 9594, 541, 10078, 17, 44606, 16, 4213, 16, 895, 953, 687, 502, 16, 374, 5402, 1709, 10754, 5009, 2022, 13303, 2235, 519, 37158, 16, 367, 1612, 16, 753, 478, 560, 354, 11852, 470, 10133, 10434, 4104, 7408, 322, 11576, 18, 832, 20846, 16, 374, 2493, 289, 975, 1698, 6622, 5978, 25283, 18, 365, 5944, 292, 1191, 526, 13721, 271, 8440, 526, 2112, 32239, 282, 47501, 29565, 9031, 282, 14208, 328, 309, 10133, 1279, 478, 789, 947, 1347, 861, 27025, 25734, 26749, 948, 401, 6276, 309, 6269, 12901, 17249, 16, 15698, 5977, 7926, 649, 8999, 1034, 5459, 4172, 343, 6769, 18797, 8860, 2810, 11219, 344, 1624, 2024, 322, 453, 2944, 33803, 778, 3216, 14212, 309, 39419, 18, 365, 5271, 478, 9730, 1917, 1356, 470, 23549, 3888, 5836, 16, 26510, 751, 11464, 289, 18326, 42563, 18, 985, 5121, 16, 3872, 18397, 18, 2112, 4056, 1939, 17, 25822, 382, 15014, 1741, 282, 20545, 430, 30, 20, 16, 46234, 46164, 45179, 266, 16, 282, 3998, 6740, 10485, 1034, 5459, 363, 508, 567, 2992, 445, 387, 4131, 15702, 411, 7889, 1011, 4744, 820, 47159, 18, 49492, 1879, 639, 2702, 33803, 4287, 16, 753, 2859, 43048, 319, 3441, 46234, 18, 5014, 40199, 778, 3837, 16, 374, 478, 22878, 333, 470, 7362, 899, 15507, 1763, 341, 16, 3508, 15312, 23026, 18, 459, 322, 438, 1041, 2077, 18, 13925, 1421, 282, 2236, 387, 29543, 33803, 873, 16, 515, 6434, 5745, 322, 2564, 2076, 8438, 22447, 16, 289, 475, 17, 2767, 282, 803, 29235, 30353, 906, 309, 5939, 7646, 18, 365, 5944, 292, 1191, 526, 18406, 7757, 282, 11200, 382, 16, 367, 2512, 7563, 411, 17, 1567, 3873, 1100, 1043, 18, 7362, 899, 712, 322, 10587, 13879, 1519, 46234, 18, 365, 15301, 29235, 281, 25087, 30619, 19869, 289, 688, 525, 404, 343, 13328, 13721, 271, 8440, 526, 18, 41789, 4797, 2948, 282, 8267, 22930, 6729, 5347, 375, 317, 8576, 1624, 2024, 764, 5548, 38331, 33803, 1275, 1714, 321, 1277, 2901, 9277, 3508, 6981, 7011, 1004, 319, 18, 478, 563, 455, 10347, 1614, 332, 512, 910, 5662, 1779, 282, 11441, 345, 4267, 8267, 477, 29565, 1272, 26654, 16, 13694, 478, 19386, 23987, 861, 4320, 329, 12234, 873, 322, 1698, 27505, 1423, 3208, 4368, 10664, 668, 5199, 16, 5071, 1952, 6535, 282, 11976, 20633, 770, 7643, 883, 16, 2391, 289, 26070, 42381, 26527, 280, 380, 758, 541, 25467, 385, 4298, 18, 2112, 4183, 10485, 15014, 18042, 1166, 510, 2239, 30, 22, 18, 1937, 567, 7422, 29235, 15145, 454, 2787, 1396, 15194, 3225, 1763, 4475, 46234, 16, 3903, 16, 374, 492, 23497, 478, 563, 455, 342, 552, 470, 9700, 9227, 10133, 16, 515, 322, 1373, 17, 299, 639, 18, 640, 37563, 4744, 1465, 7857, 513, 15360, 289, 9001, 30619, 19869, 16, 1029, 785, 17, 299, 20727, 309, 6269, 282, 15640, 423, 478, 306, 332, 512, 1275, 910, 282, 594, 404, 2775, 3340, 8055, 639, 27033, 510, 430, 30, 24, 18, 27489, 27338, 20975, 10133, 282, 29375, 18, 18678, 451, 478, 44230, 11740, 285, 470, 687, 282, 7756, 28940, 326, 712, 50253, 478, 4298, 29727, 861, 18098, 668, 46234, 46164, 3720, 21364, 1275, 18, 33728, 3541, 16, 7005, 16287, 289, 2393, 7036, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 1492, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 548, 23566, 4958, 1245, 25371, 309, 3400, 9652, 5534, 49094, 16, 961, 4244, 873, 3168, 5832, 281, 18952, 2535, 16, 753, 19058, 506, 282, 4008, 18, 33671, 5115, 5738, 15032 ]
[ 6532, 16598, 536, 12482, 16, 1029, 685, 49549, 1578, 2619, 828, 1248, 1205, 1011, 7358, 34658, 9195, 304, 360, 727, 13164, 9959, 309, 36722, 282, 1175, 18, 31224, 30, 677, 39309, 12175, 4871, 5738, 16, 1029, 1943, 21977, 15045, 9652, 5534, 49094, 1251, 18952, 2535, 289, 44989, 30571, 18, 8919, 381, 6361, 617, 5139, 9327, 9128, 11050, 11151, 718, 7920, 334, 7546, 5169, 16, 4717, 289, 2533, 3720, 18239, 609, 18, 817, 12698, 16, 374, 3333, 4244, 873, 20250, 6402, 11334, 687, 2332, 7358, 6702, 309, 2990, 19005, 670, 29277, 18395, 282, 1175, 18, 985, 11836, 18239, 609, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 16, 478, 560, 1216, 5432, 2702, 5907, 3400, 8640, 910, 785, 4244, 873, 3168, 5832, 12482, 29745, 1188, 4674, 2607, 6702, 282, 3197, 29190, 26551, 12832, 9324, 1175, 473, 1182, 13164, 934, 367, 1011, 7358, 9959, 309, 393, 8557, 11580, 1886, 18, 37188, 12016, 16, 374, 282, 803, 1750, 9652, 6779, 12482, 322, 687, 478, 404, 486, 11265, 15042, 282, 28573, 6491, 910, 515, 9978, 355, 343, 541, 49606, 7358, 835, 289, 12202, 486, 616, 1846, 18, 2230, 297, 13389, 282, 803, 1750, 895, 12993, 3624, 16, 9625, 40453, 289, 4808, 1703, 5960, 12270, 18, 9584, 6087, 2975, 20165, 26119, 282, 41039, 1568, 4855, 34013, 478, 630, 835, 12077, 9524, 7796, 2954, 282, 2407, 861, 3397, 282, 803, 25223, 912, 11299, 16, 10663, 10977, 41868, 3271, 29277, 9959, 309, 36722, 541, 4244, 613, 16, 515, 687, 827, 1551, 26136, 505, 12482, 37926, 5966, 18, 37188, 18239, 609, 8123, 1038, 360, 12331, 14698, 309, 36722, 329, 27014, 16, 961, 28361, 2311, 12482, 282, 3178, 779, 1011, 7358, 6702, 411, 727, 13164, 18, 2949, 924, 16, 1314, 28872, 23276, 11854, 1698, 9038, 14698, 309, 393, 8557, 1844, 3617, 368, 24602, 9608, 370, 18, 824, 4734, 12137, 35216, 16, 2003, 26581, 2174, 664, 5720, 1070, 16, 12509, 505, 687, 541, 1110, 16, 16118, 5508, 42878, 709, 1205, 1011, 12851, 18, 18239, 609, 12698, 16, 374, 6459, 9, 30625, 16, 40376, 7734, 282, 727, 13164, 349, 1341, 979, 6702, 309, 33820, 36722, 16, 45500, 10159, 309, 9185, 12851, 17787, 18, 459, 4652, 1760, 9, 411, 1129, 16, 3848, 1223, 16, 38769, 9652, 6779, 12482, 18, 478, 2176, 481, 29039, 16, 3057, 16, 3872, 6174, 11950, 282, 7353, 36672, 16, 367, 36375, 451, 1089, 1354, 18952, 5539, 16, 6911, 28308, 16, 988, 37806, 23276, 910, 510, 23362, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 18, 365, 727, 13164, 1175, 478, 46088, 18, 8381, 470, 12002, 16, 374, 28402, 1279, 9652, 5534, 49094, 16, 2686, 45603, 33615, 322, 27570, 1576, 6063, 3860, 18, 478, 563, 3612, 334, 41484, 4479, 779, 639, 5891, 3890, 12060, 17498, 23, 3219, 8895, 309, 33820, 36722, 16, 374, 309, 816, 16, 24, 4500, 18, 3440, 16, 828, 349, 41139, 2849, 26034, 779, 910, 510, 40530, 282, 727, 13164, 18, 967, 803, 411, 12060, 4500, 18, 1135, 1844, 9608, 3244, 5684, 3219, 301, 4793, 6549, 1033, 2261, 4500, 18, 7883, 411, 1129, 30359, 6549, 309, 9185, 12851, 17787, 281, 47292, 1175, 510, 28402, 322, 5542, 17576, 18, 6682, 37176, 33615, 334, 3038, 395, 282, 35205, 6702, 18, 6592, 1450, 16, 349, 1421, 5196, 6705, 779, 9652, 12310, 685, 14449, 12482, 329, 7518, 30625, 473, 24239, 282, 5021, 1045, 814, 967, 803, 2123, 6475, 6885, 616, 2675, 639, 6309, 315, 411, 17, 431, 17963, 12783, 17696, 6702, 16, 4317, 25, 520, 17091, 3018, 309, 36722, 282, 1175, 411, 17, 431, 2410, 27006, 13811, 349, 19077, 16, 10608, 29, 1135, 322, 4208, 2602, 309, 2768, 289, 322, 3005, 965, 20895, 16, 816, 6695, 30625, 41657, 282, 727, 13164, 39840, 448, 6549, 16, 367, 816, 10257, 27014, 2700, 6563, 1568, 282, 1175, 473, 5041, 26158, 7117, 2246, 1775, 8150, 814, 1303, 745, 282, 6031, 16157, 2990, 309, 393, 8557, 18, 365, 727, 13164, 4864, 3457, 16, 374, 1011, 41868, 2682, 6702, 541, 18395, 282, 1175, 670, 6309, 282, 697, 35205, 519, 17696, 13111, 34871, 1943, 6886, 1205, 18, 478, 992, 11728, 16, 374, 2904, 294, 13265, 5302, 16028, 840, 726, 16907, 539, 910, 510, 41274, 4364, 282, 27246, 18, 49333, 9652, 6876, 17787, 289, 13547, 309, 1047, 19776, 282, 4055, 17, 295, 7705, 35445, 434, 19986, 16, 9848, 478, 46088, 18, 8381, 470, 9128, 11050, 33913, 38923, 478, 34275, 691, 43494, 2403, 14756, 1545, 470, 25065, 20396, 46587, 18, 478, 983, 947, 30715, 37926, 5966, 16, 827, 23276, 670, 1176, 411, 1129, 6558, 4110, 12482, 749, 23037, 6125, 11334, 910, 510, 5130, 282, 31595, 18, 478, 1182, 931, 12310, 1623, 12482, 16, 322, 1727, 4651, 309, 1804, 10328, 7794, 32091, 7080, 18, 16924, 649, 481, 3257, 30, 2702, 9434, 16, 19423, 520, 41779, 19342, 16, 37806, 520, 23276, 282, 3709, 3942, 304, 13942, 910, 510, 1109, 20396, 46587, 18, 1614, 4178, 16, 282, 1423, 3678, 16, 16328, 2913, 468, 16, 374, 9099, 13756, 1698, 334, 10475, 1507, 3018, 1568, 412, 397, 8652, 432, 1512, 18, 478, 677, 4190, 2792, 46694, 12142, 282, 1175, 290, 20630, 617, 1335, 7272, 2003, 9169, 8695, 910, 510, 5692, 492, 18, 4530, 867, 282, 16711, 7338, 3811, 802, 282, 2580, 30149, 1489, 15857, 349, 9652, 6676, 1933, 382, 18, 365, 29956, 19363, 1385, 36672, 1698, 309, 1272, 779, 30115, 282, 19189, 18, 365, 5306, 6723, 1947, 1698, 9555, 349, 47961, 309, 1421, 779, 289, 1038, 18692, 10556, 18, 439, 282, 2145, 9652, 12310, 6600, 3910, 289, 8971, 843, 16684, 22204, 282, 27063, 773, 353, 844, 5355, 12670, 16, 10556, 519, 4843, 37168, 4500, 18, 289, 17288, 539, 15045, 519, 4256, 986, 18, 2, 1, 87, 1456, 81, 2448, 30, 6115, 937, 2898, 309, 11460, 16, 43004, 1087, 19317, 297, 289, 25799, 10059, 16, 31895, 36441, 23125, 1388, 289, 29554, 16, 3038, 24754, 21374, 23063, 4674, 2606, 16, 16784, 347, 528, 6596, 723, 365, 6031, 1939, 986, 2158, 2123, 4160, 10013, 779, 7064, 3696, 857, 39888, 266, 18, 824, 5842, 46761, 2553, 685, 7730, 286, 5335, 16, 515, 22945, 3225, 16906, 12703, 1223, 349, 1205, 16, 15833, 11009, 1110, 6059, 18, 31224, 30, 8407, 937, 3875, 16, 8612, 5229, 282, 3998, 6374, 17, 292, 5521, 6705, 3931, 16, 541, 2616, 17, 299, 1559, 478, 5162, 3181, 1027, 8569, 32502, 910, 541, 2616, 17, 299, 3458, 10386, 21833, 304, 16, 515, 289, 541, 1110, 289, 541, 1888, 12400, 39743, 37644, 293, 3032, 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 ]
[ 6532, 16598, 536, 12482, 16, 1029, 685, 49549, 1578, 2619, 828, 1248, 1205, 1011, 7358, 34658, 9195, 304, 360, 727, 13164, 9959, 309, 36722, 282, 1175, 18, 31224, 30, 677, 39309, 12175, 4871, 5738, 16, 1029, 1943, 21977, 15045, 9652, 5534, 49094, 1251, 18952, 2535, 289, 44989, 30571, 18, 8919, 381, 6361, 617, 5139, 9327, 9128, 11050, 11151, 718, 7920, 334, 7546, 5169, 16, 4717, 289, 2533, 3720, 18239, 609, 18, 817, 12698, 16, 374, 3333, 4244, 873, 20250, 6402, 11334, 687, 2332, 7358, 6702, 309, 2990, 19005, 670, 29277, 18395, 282, 1175, 18, 985, 11836, 18239, 609, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 16, 478, 560, 1216, 5432, 2702, 5907, 3400, 8640, 910, 785, 4244, 873, 3168, 5832, 12482, 29745, 1188, 4674, 2607, 6702, 282, 3197, 29190, 26551, 12832, 9324, 1175, 473, 1182, 13164, 934, 367, 1011, 7358, 9959, 309, 393, 8557, 11580, 1886, 18, 37188, 12016, 16, 374, 282, 803, 1750, 9652, 6779, 12482, 322, 687, 478, 404, 486, 11265, 15042, 282, 28573, 6491, 910, 515, 9978, 355, 343, 541, 49606, 7358, 835, 289, 12202, 486, 616, 1846, 18, 2230, 297, 13389, 282, 803, 1750, 895, 12993, 3624, 16, 9625, 40453, 289, 4808, 1703, 5960, 12270, 18, 9584, 6087, 2975, 20165, 26119, 282, 41039, 1568, 4855, 34013, 478, 630, 835, 12077, 9524, 7796, 2954, 282, 2407, 861, 3397, 282, 803, 25223, 912, 11299, 16, 10663, 10977, 41868, 3271, 29277, 9959, 309, 36722, 541, 4244, 613, 16, 515, 687, 827, 1551, 26136, 505, 12482, 37926, 5966, 18, 37188, 18239, 609, 8123, 1038, 360, 12331, 14698, 309, 36722, 329, 27014, 16, 961, 28361, 2311, 12482, 282, 3178, 779, 1011, 7358, 6702, 411, 727, 13164, 18, 2949, 924, 16, 1314, 28872, 23276, 11854, 1698, 9038, 14698, 309, 393, 8557, 1844, 3617, 368, 24602, 9608, 370, 18, 824, 4734, 12137, 35216, 16, 2003, 26581, 2174, 664, 5720, 1070, 16, 12509, 505, 687, 541, 1110, 16, 16118, 5508, 42878, 709, 1205, 1011, 12851, 18, 18239, 609, 12698, 16, 374, 6459, 9, 30625, 16, 40376, 7734, 282, 727, 13164, 349, 1341, 979, 6702, 309, 33820, 36722, 16, 45500, 10159, 309, 9185, 12851, 17787, 18, 459, 4652, 1760, 9, 411, 1129, 16, 3848, 1223, 16, 38769, 9652, 6779, 12482, 18, 478, 2176, 481, 29039, 16, 3057, 16, 3872, 6174, 11950, 282, 7353, 36672, 16, 367, 36375, 451, 1089, 1354, 18952, 5539, 16, 6911, 28308, 16, 988, 37806, 23276, 910, 510, 23362, 282, 4437, 27299, 49800, 294, 11755, 508, 552, 18, 365, 727, 13164, 1175, 478, 46088, 18, 8381, 470, 12002, 16, 374, 28402, 1279, 9652, 5534, 49094, 16, 2686, 45603, 33615, 322, 27570, 1576, 6063, 3860, 18, 478, 563, 3612, 334, 41484, 4479, 779, 639, 5891, 3890, 12060, 17498, 23, 3219, 8895, 309, 33820, 36722, 16, 374, 309, 816, 16, 24, 4500, 18, 3440, 16, 828, 349, 41139, 2849, 26034, 779, 910, 510, 40530, 282, 727, 13164, 18, 967, 803, 411, 12060, 4500, 18, 1135, 1844, 9608, 3244, 5684, 3219, 301, 4793, 6549, 1033, 2261, 4500, 18, 7883, 411, 1129, 30359, 6549, 309, 9185, 12851, 17787, 281, 47292, 1175, 510, 28402, 322, 5542, 17576, 18, 6682, 37176, 33615, 334, 3038, 395, 282, 35205, 6702, 18, 6592, 1450, 16, 349, 1421, 5196, 6705, 779, 9652, 12310, 685, 14449, 12482, 329, 7518, 30625, 473, 24239, 282, 5021, 1045, 814, 967, 803, 2123, 6475, 6885, 616, 2675, 639, 6309, 315, 411, 17, 431, 17963, 12783, 17696, 6702, 16, 4317, 25, 520, 17091, 3018, 309, 36722, 282, 1175, 411, 17, 431, 2410, 27006, 13811, 349, 19077, 16, 10608, 29, 1135, 322, 4208, 2602, 309, 2768, 289, 322, 3005, 965, 20895, 16, 816, 6695, 30625, 41657, 282, 727, 13164, 39840, 448, 6549, 16, 367, 816, 10257, 27014, 2700, 6563, 1568, 282, 1175, 473, 5041, 26158, 7117, 2246, 1775, 8150, 814, 1303, 745, 282, 6031, 16157, 2990, 309, 393, 8557, 18, 365, 727, 13164, 4864, 3457, 16, 374, 1011, 41868, 2682, 6702, 541, 18395, 282, 1175, 670, 6309, 282, 697, 35205, 519, 17696, 13111, 34871, 1943, 6886, 1205, 18, 478, 992, 11728, 16, 374, 2904, 294, 13265, 5302, 16028, 840, 726, 16907, 539, 910, 510, 41274, 4364, 282, 27246, 18, 49333, 9652, 6876, 17787, 289, 13547, 309, 1047, 19776, 282, 4055, 17, 295, 7705, 35445, 434, 19986, 16, 9848, 478, 46088, 18, 8381, 470, 9128, 11050, 33913, 38923, 478, 34275, 691, 43494, 2403, 14756, 1545, 470, 25065, 20396, 46587, 18, 478, 983, 947, 30715, 37926, 5966, 16, 827, 23276, 670, 1176, 411, 1129, 6558, 4110, 12482, 749, 23037, 6125, 11334, 910, 510, 5130, 282, 31595, 18, 478, 1182, 931, 12310, 1623, 12482, 16, 322, 1727, 4651, 309, 1804, 10328, 7794, 32091, 7080, 18, 16924, 649, 481, 3257, 30, 2702, 9434, 16, 19423, 520, 41779, 19342, 16, 37806, 520, 23276, 282, 3709, 3942, 304, 13942, 910, 510, 1109, 20396, 46587, 18, 1614, 4178, 16, 282, 1423, 3678, 16, 16328, 2913, 468, 16, 374, 9099, 13756, 1698, 334, 10475, 1507, 3018, 1568, 412, 397, 8652, 432, 1512, 18, 478, 677, 4190, 2792, 46694, 12142, 282, 1175, 290, 20630, 617, 1335, 7272, 2003, 9169, 8695, 910, 510, 5692, 492, 18, 4530, 867, 282, 16711, 7338, 3811, 802, 282, 2580, 30149, 1489, 15857, 349, 9652, 6676, 1933, 382, 18, 365, 29956, 19363, 1385, 36672, 1698, 309, 1272, 779, 30115, 282, 19189, 18, 365, 5306, 6723, 1947, 1698, 9555, 349, 47961, 309, 1421, 779, 289, 1038, 18692, 10556, 18, 439, 282, 2145, 9652, 12310, 6600, 3910, 289, 8971, 843, 16684, 22204, 282, 27063, 773, 353, 844, 5355, 12670, 16, 10556, 519, 4843, 37168, 4500, 18, 289, 17288, 539, 15045, 519, 4256, 986, 18, 2, 1, 87, 1456, 81, 2448, 30, 6115, 937, 2898, 309, 11460, 16, 43004, 1087, 19317, 297, 289, 25799, 10059, 16, 31895, 36441, 23125, 1388, 289, 29554, 16, 3038, 24754, 21374, 23063, 4674, 2606, 16, 16784, 347, 528, 6596, 723, 365, 6031, 1939, 986, 2158, 2123, 4160, 10013, 779, 7064, 3696, 857, 39888, 266, 18, 824, 5842, 46761, 2553, 685, 7730, 286, 5335, 16, 515, 22945, 3225, 16906, 12703, 1223, 349, 1205, 16, 15833, 11009, 1110, 6059, 18, 31224, 30, 8407, 937, 3875, 16, 8612, 5229, 282, 3998, 6374, 17, 292, 5521, 6705, 3931, 16, 541, 2616, 17, 299, 1559, 478, 5162, 3181, 1027, 8569, 32502, 910, 541, 2616, 17, 299, 3458, 10386, 21833, 304, 16, 515, 289, 541, 1110, 289, 541, 1888, 12400, 39743, 37644, 293, 3032, 18 ]
[ 28995, 1335, 19349, 33529, 282, 11872, 10013, 779, 18, 439, 764, 12184, 651, 2123, 4160, 16, 785, 7064, 1175, 10002, 576, 46025, 7345, 649, 31215, 281, 568, 2855, 289, 3696, 857, 4547, 8290, 290, 3177, 20308, 1207, 18, 9758, 28809, 39888, 266, 473, 370, 614, 360, 10326, 20394, 13, 334, 14340, 4103, 2509, 15442, 277, 18, 27285, 2553, 294, 2856, 1612, 6712, 282, 24973, 368, 18, 2667, 23906, 10059, 3585, 19255, 16, 334, 35854, 395, 20921, 419, 18061, 629, 18746, 16, 309, 4317, 5999, 967, 803, 38501, 16, 7346, 756, 2508, 8583, 597, 289, 5358, 2508, 1279, 6569, 21012, 16, 24782, 23095, 874, 11608, 541, 21002, 1354, 478, 1961, 10442, 11854, 861, 33084, 1354, 282, 6374, 17, 263, 3142, 289, 282, 2456, 2463, 4893, 381, 29217, 334, 7413, 281, 31559, 3875, 16, 2301, 12110, 8743, 381, 2430, 331, 5519, 16, 898, 42587, 19304, 16, 34777, 28916, 613, 16, 43874, 16411, 16, 31272, 29915, 4388, 16, 898, 16, 428, 1655, 5780, 16, 478, 960, 1506, 29461, 6025, 9844, 10776, 470, 289, 478, 8719, 758, 8840, 353, 910, 367, 971, 590, 24379, 2626, 43991, 18, 19695, 47579, 576, 1087, 29090, 10723, 349, 45681, 368, 16, 282, 7544, 309, 6146, 918, 289, 24923, 31223, 622, 30593, 21012, 18, 36787, 801, 16520, 322, 19846, 935, 329, 365, 1659, 684, 473, 24161, 416, 8169, 416, 8424, 934, 42395, 16, 428, 1314, 373, 7299, 16, 478, 272, 1124, 18028, 8996, 4309, 910, 367, 1655, 9541, 17, 24339, 304, 9477, 823, 339, 39741, 686, 3032, 18, 1787, 10326, 8347, 20394, 7064, 639, 5458, 1569, 23095, 874, 21132, 12091, 309, 33921, 289, 44825, 5814, 1248, 16790, 1087, 348, 49122, 1437, 18, 23654, 47416, 528, 6596, 651, 18909, 36101, 2497, 28356, 553, 16, 22728, 4538, 16, 349, 3417, 2791, 16, 289, 26454, 4985, 7768, 528, 6596, 1248, 1205, 9078, 4103, 16, 6524, 659, 2418, 29, 2791, 349, 10168, 28356, 1066, 473, 275, 8151, 10013, 779, 4388, 622, 528, 6596, 32644, 2829, 289, 25607, 13531, 16, 22, 21956, 6831, 4985, 2294, 528, 6596, 898, 10933, 42557, 16, 10902, 289, 28872, 38164, 473, 404, 4661, 3056, 814, 740, 567, 2992, 11053, 6374, 17, 292, 1542, 20117, 7625, 2166, 1087, 8853, 2266, 871, 2756, 10919, 13553, 265, 18, 16070, 4062, 334, 12974, 8608, 528, 6596, 29215, 2919, 16, 367, 23284, 21539, 4135, 282, 7143, 5009, 10042, 18, 34596, 49019, 1293, 4284, 18, 7974, 365, 957, 3740, 1624, 2412, 1779, 1655, 3059, 44072, 6365, 16, 282, 7337, 478, 46088, 18, 8381, 470, 8566, 16, 428, 8396, 1421, 9080, 12142, 30, 31895, 36441, 45168, 289, 17838, 16, 381, 937, 43065, 2898, 16, 31333, 9350, 282, 9265, 17, 47649, 11736, 18, 1598, 17, 431, 1967, 6059, 28872, 42557, 2458, 36014, 10919, 3742, 295, 918, 22858, 9946, 20921, 1876, 18, 3428, 15111, 16, 515, 309, 1033, 48382, 4190, 18, 2839, 1612, 17420, 39888, 354, 322, 4661, 3056, 25616, 49857, 309, 4843, 2479, 5096, 18, 1367, 4594, 2235, 528, 6596, 2438, 1791, 536, 289, 3531, 6146, 918, 11091, 887, 282, 970, 2875, 541, 924, 16, 753, 14687, 3963, 334, 49509, 289, 15993, 25799, 10059, 18, 8859, 27698, 23563, 17788, 4076, 281, 7043, 3857, 7083, 2919, 18, 996, 16, 4982, 15429, 528, 6596, 17, 630, 22226, 7990, 477, 24095, 5096, 2791, 282, 11097, 1045, 519, 3610, 22, 5096, 2791, 282, 10798, 17, 277, 18, 385, 3974, 17305, 47618, 16784, 347, 18, 2949, 924, 16, 541, 19040, 41177, 10059, 7064, 1933, 435, 282, 4103, 329, 22026, 8204, 434, 11131, 16, 38613, 8709, 289, 1888, 14412, 7257, 18, 740, 816, 4189, 10013, 779, 39762, 6187, 24754, 29893, 5871, 476, 1265, 306, 2815, 16, 374, 935, 282, 1750, 13144, 9609, 1209, 12794, 11131, 16, 492, 7006, 520, 5304, 21374, 23232, 282, 4843, 3114, 5096, 16, 1029, 1300, 3156, 3771, 18, 5043, 16, 6396, 5284, 24754, 475, 17, 2767, 22342, 300, 23232, 16, 6177, 309, 4843, 4691, 5096, 16, 753, 26513, 42557, 322, 16157, 3674, 16, 4419, 9513, 1453, 282, 528, 6596, 18, 2949, 924, 16, 7064, 3341, 862, 11203, 281, 45894, 2206, 281, 3195, 2702, 2886, 432, 2559, 18, 5161, 16, 349, 2948, 16954, 542, 19456, 21189, 10301, 10597, 294, 3607, 344, 16, 309, 374, 1783, 5385, 24967, 3674, 18, 365, 3709, 411, 3362, 1356, 933, 48335, 290, 4735, 4543, 19449, 2273, 669, 24754, 282, 4843, 24, 16, 28, 5096, 8624, 19080, 4210, 13564, 265, 3141, 3828, 30, 4843, 21, 5096, 5678, 309, 12974, 1979, 12565, 334, 528, 6596, 16, 367, 4843, 23, 16, 25, 5096, 10322, 4633, 309, 16954, 564, 10301, 10597, 18, 365, 3106, 3806, 375, 399, 379, 4669, 7272, 1221, 11182, 1038, 24560, 3094, 9406, 8369, 16, 282, 970, 2875, 349, 2948, 19264, 6327, 2592, 266, 43460, 289, 45792, 16, 35550, 2166, 20394, 334, 1087, 42244, 272, 289, 1188, 7143, 758, 24812, 18, 365, 6031, 44690, 2500, 41626, 16, 515, 4135, 282, 3196, 464, 15747, 475, 3440, 16, 26945, 282, 22945, 322, 29068, 16, 12543, 6591, 1218, 332, 464, 4559, 1251, 7785, 6390, 28844, 16, 44924, 5162, 4316, 842, 448, 15154, 16, 371, 1639, 281, 10343, 297, 9534, 14687, 39437, 322, 15631, 16, 367, 44469, 289, 24544, 18, 18619, 281, 2184, 7064, 2170, 857, 11417, 8898, 8902, 10830, 12517, 281, 8204, 323, 16, 374, 4115, 857, 294, 360, 3041, 272, 14758, 411, 2553, 289, 4783, 4262, 46450, 11440, 309, 9805, 25511, 18, 23654, 867, 322, 2619, 26454, 16, 374, 44903, 553, 322, 840, 18, 2418, 4160, 4770, 9715, 20917, 3786, 3404, 50138, 2837, 8348, 309, 2089, 6266, 30, 478, 17327, 25805, 553, 10597, 322, 840, 18, 889, 11263, 289, 10986, 861, 817, 15878, 300, 1423, 10839, 30, 478, 780, 647, 21783, 510, 322, 1139, 3476, 31164, 16, 289, 322, 1548, 16, 374, 417, 322, 2963, 373, 44903, 553, 18, 19876, 21783, 18264, 4164, 309, 970, 16, 374, 475, 2178, 7525, 315, 18, 9432, 334, 31543, 10985, 9047, 11371, 19031, 8729, 18, 33728, 3118, 7346, 4164, 861, 740, 1248, 1421, 2299, 7064, 3696, 857, 290, 970, 16, 374, 309, 6374, 2868, 371, 262, 5220, 1812, 15230, 20394, 1188, 322, 4661, 9534, 334, 42942, 16, 1692, 1876, 309, 16046, 4267, 5814, 289, 334, 21784, 2509, 2204, 7715, 18, 13356, 379, 17, 23715, 626, 528, 6596, 2010, 5519, 18, 18619, 639, 29128, 381, 37003, 360, 16954, 542, 10664, 434, 10301, 10597, 294, 3607, 344, 2145, 18, 19080, 31568, 478, 2592, 10977, 5874, 470, 10597, 16, 4473, 9429, 371, 803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28995, 1335, 19349, 33529, 282, 11872, 10013, 779, 18, 439, 764, 12184, 651, 2123, 4160, 16, 785, 7064, 1175, 10002, 576, 46025, 7345, 649, 31215, 281, 568, 2855, 289, 3696, 857, 4547, 8290, 290, 3177, 20308, 1207, 18, 9758, 28809, 39888, 266, 473, 370, 614, 360, 10326, 20394, 13, 334, 14340, 4103, 2509, 15442, 277, 18, 27285, 2553, 294, 2856, 1612, 6712, 282, 24973, 368, 18, 2667, 23906, 10059, 3585, 19255, 16, 334, 35854, 395, 20921, 419, 18061, 629, 18746, 16, 309, 4317, 5999, 967, 803, 38501, 16, 7346, 756, 2508, 8583, 597, 289, 5358, 2508, 1279, 6569, 21012, 16, 24782, 23095, 874, 11608, 541, 21002, 1354, 478, 1961, 10442, 11854, 861, 33084, 1354, 282, 6374, 17, 263, 3142, 289, 282, 2456, 2463, 4893, 381, 29217, 334, 7413, 281, 31559, 3875, 16, 2301, 12110, 8743, 381, 2430, 331, 5519, 16, 898, 42587, 19304, 16, 34777, 28916, 613, 16, 43874, 16411, 16, 31272, 29915, 4388, 16, 898, 16, 428, 1655, 5780, 16, 478, 960, 1506, 29461, 6025, 9844, 10776, 470, 289, 478, 8719, 758, 8840, 353, 910, 367, 971, 590, 24379, 2626, 43991, 18, 19695, 47579, 576, 1087, 29090, 10723, 349, 45681, 368, 16, 282, 7544, 309, 6146, 918, 289, 24923, 31223, 622, 30593, 21012, 18, 36787, 801, 16520, 322, 19846, 935, 329, 365, 1659, 684, 473, 24161, 416, 8169, 416, 8424, 934, 42395, 16, 428, 1314, 373, 7299, 16, 478, 272, 1124, 18028, 8996, 4309, 910, 367, 1655, 9541, 17, 24339, 304, 9477, 823, 339, 39741, 686, 3032, 18, 1787, 10326, 8347, 20394, 7064, 639, 5458, 1569, 23095, 874, 21132, 12091, 309, 33921, 289, 44825, 5814, 1248, 16790, 1087, 348, 49122, 1437, 18, 23654, 47416, 528, 6596, 651, 18909, 36101, 2497, 28356, 553, 16, 22728, 4538, 16, 349, 3417, 2791, 16, 289, 26454, 4985, 7768, 528, 6596, 1248, 1205, 9078, 4103, 16, 6524, 659, 2418, 29, 2791, 349, 10168, 28356, 1066, 473, 275, 8151, 10013, 779, 4388, 622, 528, 6596, 32644, 2829, 289, 25607, 13531, 16, 22, 21956, 6831, 4985, 2294, 528, 6596, 898, 10933, 42557, 16, 10902, 289, 28872, 38164, 473, 404, 4661, 3056, 814, 740, 567, 2992, 11053, 6374, 17, 292, 1542, 20117, 7625, 2166, 1087, 8853, 2266, 871, 2756, 10919, 13553, 265, 18, 16070, 4062, 334, 12974, 8608, 528, 6596, 29215, 2919, 16, 367, 23284, 21539, 4135, 282, 7143, 5009, 10042, 18, 34596, 49019, 1293, 4284, 18, 7974, 365, 957, 3740, 1624, 2412, 1779, 1655, 3059, 44072, 6365, 16, 282, 7337, 478, 46088, 18, 8381, 470, 8566, 16, 428, 8396, 1421, 9080, 12142, 30, 31895, 36441, 45168, 289, 17838, 16, 381, 937, 43065, 2898, 16, 31333, 9350, 282, 9265, 17, 47649, 11736, 18, 1598, 17, 431, 1967, 6059, 28872, 42557, 2458, 36014, 10919, 3742, 295, 918, 22858, 9946, 20921, 1876, 18, 3428, 15111, 16, 515, 309, 1033, 48382, 4190, 18, 2839, 1612, 17420, 39888, 354, 322, 4661, 3056, 25616, 49857, 309, 4843, 2479, 5096, 18, 1367, 4594, 2235, 528, 6596, 2438, 1791, 536, 289, 3531, 6146, 918, 11091, 887, 282, 970, 2875, 541, 924, 16, 753, 14687, 3963, 334, 49509, 289, 15993, 25799, 10059, 18, 8859, 27698, 23563, 17788, 4076, 281, 7043, 3857, 7083, 2919, 18, 996, 16, 4982, 15429, 528, 6596, 17, 630, 22226, 7990, 477, 24095, 5096, 2791, 282, 11097, 1045, 519, 3610, 22, 5096, 2791, 282, 10798, 17, 277, 18, 385, 3974, 17305, 47618, 16784, 347, 18, 2949, 924, 16, 541, 19040, 41177, 10059, 7064, 1933, 435, 282, 4103, 329, 22026, 8204, 434, 11131, 16, 38613, 8709, 289, 1888, 14412, 7257, 18, 740, 816, 4189, 10013, 779, 39762, 6187, 24754, 29893, 5871, 476, 1265, 306, 2815, 16, 374, 935, 282, 1750, 13144, 9609, 1209, 12794, 11131, 16, 492, 7006, 520, 5304, 21374, 23232, 282, 4843, 3114, 5096, 16, 1029, 1300, 3156, 3771, 18, 5043, 16, 6396, 5284, 24754, 475, 17, 2767, 22342, 300, 23232, 16, 6177, 309, 4843, 4691, 5096, 16, 753, 26513, 42557, 322, 16157, 3674, 16, 4419, 9513, 1453, 282, 528, 6596, 18, 2949, 924, 16, 7064, 3341, 862, 11203, 281, 45894, 2206, 281, 3195, 2702, 2886, 432, 2559, 18, 5161, 16, 349, 2948, 16954, 542, 19456, 21189, 10301, 10597, 294, 3607, 344, 16, 309, 374, 1783, 5385, 24967, 3674, 18, 365, 3709, 411, 3362, 1356, 933, 48335, 290, 4735, 4543, 19449, 2273, 669, 24754, 282, 4843, 24, 16, 28, 5096, 8624, 19080, 4210, 13564, 265, 3141, 3828, 30, 4843, 21, 5096, 5678, 309, 12974, 1979, 12565, 334, 528, 6596, 16, 367, 4843, 23, 16, 25, 5096, 10322, 4633, 309, 16954, 564, 10301, 10597, 18, 365, 3106, 3806, 375, 399, 379, 4669, 7272, 1221, 11182, 1038, 24560, 3094, 9406, 8369, 16, 282, 970, 2875, 349, 2948, 19264, 6327, 2592, 266, 43460, 289, 45792, 16, 35550, 2166, 20394, 334, 1087, 42244, 272, 289, 1188, 7143, 758, 24812, 18, 365, 6031, 44690, 2500, 41626, 16, 515, 4135, 282, 3196, 464, 15747, 475, 3440, 16, 26945, 282, 22945, 322, 29068, 16, 12543, 6591, 1218, 332, 464, 4559, 1251, 7785, 6390, 28844, 16, 44924, 5162, 4316, 842, 448, 15154, 16, 371, 1639, 281, 10343, 297, 9534, 14687, 39437, 322, 15631, 16, 367, 44469, 289, 24544, 18, 18619, 281, 2184, 7064, 2170, 857, 11417, 8898, 8902, 10830, 12517, 281, 8204, 323, 16, 374, 4115, 857, 294, 360, 3041, 272, 14758, 411, 2553, 289, 4783, 4262, 46450, 11440, 309, 9805, 25511, 18, 23654, 867, 322, 2619, 26454, 16, 374, 44903, 553, 322, 840, 18, 2418, 4160, 4770, 9715, 20917, 3786, 3404, 50138, 2837, 8348, 309, 2089, 6266, 30, 478, 17327, 25805, 553, 10597, 322, 840, 18, 889, 11263, 289, 10986, 861, 817, 15878, 300, 1423, 10839, 30, 478, 780, 647, 21783, 510, 322, 1139, 3476, 31164, 16, 289, 322, 1548, 16, 374, 417, 322, 2963, 373, 44903, 553, 18, 19876, 21783, 18264, 4164, 309, 970, 16, 374, 475, 2178, 7525, 315, 18, 9432, 334, 31543, 10985, 9047, 11371, 19031, 8729, 18, 33728, 3118, 7346, 4164, 861, 740, 1248, 1421, 2299, 7064, 3696, 857, 290, 970, 16, 374, 309, 6374, 2868, 371, 262, 5220, 1812, 15230, 20394, 1188, 322, 4661, 9534, 334, 42942, 16, 1692, 1876, 309, 16046, 4267, 5814, 289, 334, 21784, 2509, 2204, 7715, 18, 13356, 379, 17, 23715, 626, 528, 6596, 2010, 5519, 18, 18619, 639, 29128, 381, 37003, 360, 16954, 542, 10664, 434, 10301, 10597, 294, 3607, 344, 2145, 18, 19080, 31568, 478, 2592, 10977, 5874, 470, 10597, 16, 4473, 9429, 371, 803 ]
[ 8535, 8204, 434, 21361, 281, 1286, 1671, 18, 519, 1658, 16, 25, 1671, 18, 349, 24257, 18, 17811, 478, 476, 399, 303, 266, 470, 282, 23032, 5439, 322, 639, 16, 515, 19715, 10956, 282, 3202, 4367, 1001, 582, 18, 26482, 10597, 294, 9747, 10013, 779, 8211, 1033, 828, 282, 816, 4570, 510, 281, 1286, 2791, 349, 519, 3695, 10597, 349, 24257, 18, 9967, 1011, 39888, 354, 685, 29053, 282, 16294, 7638, 4210, 34858, 5269, 289, 5037, 19080, 2407, 4210, 13564, 265, 3141, 18, 30673, 7638, 304, 685, 47541, 10618, 21565, 3930, 1624, 367, 23049, 19080, 510, 7947, 15231, 15561, 18, 4342, 399, 303, 266, 685, 32250, 8728, 761, 18, 459, 7064, 481, 334, 966, 576, 18, 889, 685, 5335, 334, 5842, 46761, 2553, 18, 1598, 7337, 478, 46088, 18, 8381, 470, 11088, 31977, 6264, 1624, 1655, 13900, 2076, 8108, 347, 19080, 3014, 16, 374, 6268, 887, 289, 11811, 6676, 12520, 7811, 281, 16112, 8792, 10059, 289, 19040, 16178, 1188, 4985, 7771, 528, 6596, 18, 19080, 282, 10013, 1045, 757, 19519, 13241, 451, 2590, 368, 289, 31302, 319, 1087, 19317, 297, 18, 740, 360, 978, 20138, 17245, 18, 3747, 334, 3163, 19243, 365, 957, 14479, 16, 492, 6268, 709, 282, 3765, 281, 2123, 309, 1281, 4160, 18, 967, 1670, 294, 14728, 16, 374, 3269, 1035, 2440, 399, 16335, 16, 1586, 19197, 34694, 373, 349, 282, 296, 648, 304, 26349, 43044, 12459, 16, 481, 2903, 2284, 411, 31923, 18, 385, 6688, 22125, 2299, 289, 365, 957, 3740, 16, 289, 31977, 6264, 11623, 34715, 16, 374, 39888, 266, 685, 32958, 2559, 323, 16, 23172, 364, 22945, 1175, 16, 26513, 42557, 11930, 309, 9805, 8275, 415, 22226, 726, 1248, 1205, 1011, 3696, 7194, 23536, 39888, 354, 18, 439, 282, 3998, 6383, 17, 292, 7072, 309, 11460, 8093, 282, 6591, 16, 289, 19186, 19715, 1974, 281, 1420, 18, 365, 5049, 17, 277, 11460, 381, 1166, 701, 289, 19715, 2407, 1858, 381, 1166, 701, 1974, 281, 1420, 18, 42427, 25573, 289, 2891, 25245, 326, 18992, 411, 1949, 9350, 291, 651, 10013, 289, 5049, 5521, 16, 15833, 11009, 1110, 6059, 18, 16923, 15622, 4461, 22852, 44465, 16, 10308, 3308, 8969, 1830, 373, 2301, 9024, 3673, 2954, 18, 740, 14429, 867, 322, 2619, 322, 1698, 11033, 360, 11578, 2035, 9773, 18, 985, 687, 281, 12647, 25783, 25646, 266, 10744, 290, 970, 16, 374, 475, 840, 1904, 16, 1833, 575, 33746, 282, 7065, 17666, 281, 25735, 1004, 4101, 30190, 18, 365, 13186, 21911, 593, 17688, 12679, 281, 10940, 304, 16, 4305, 275, 16, 374, 282, 1175, 2628, 9357, 468, 6059, 10798, 443, 39068, 5521, 18, 12757, 802, 22007, 23996, 16, 3057, 16, 6591, 24966, 289, 18019, 1070, 867, 3899, 12318, 7019, 18, 15602, 451, 7065, 1038, 18604, 3064, 13029, 1979, 4096, 309, 49064, 26476, 18, 385, 2184, 19902, 304, 322, 22806, 537, 282, 32094, 16, 537, 282, 12189, 547, 22398, 1207, 18, 25652, 17, 15975, 4830, 2407, 6370, 26334, 3828, 16, 374, 1003, 8720, 291, 541, 39888, 354, 18, 439, 46038, 10618, 629, 7779, 3828, 478, 46088, 18, 8381, 910, 374, 282, 1175, 1314, 594, 47651, 783, 16, 6177, 16, 5175, 10416, 11601, 16, 515, 481, 6411, 16, 374, 282, 2567, 4190, 322, 840, 537, 7019, 16, 537, 39888, 354, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 5683, 17115, 43091, 15137, 29051, 16586, 933, 6961, 7928, 473, 6030, 8682, 29340, 814, 7042, 32712, 4909, 1437, 26765, 33598, 2768, 3320, 16, 35596, 275, 1817, 17929, 334, 13460, 722, 13835, 2675, 18, 31224, 30, 563, 3031, 564, 43091, 15137, 29051, 16586, 933, 6961, 7928, 2732, 435, 7620, 5741, 411, 6603, 18811, 4909, 1437, 18, 365, 4459, 3320, 639, 35596, 315, 8585, 3000, 2794, 1280, 18, 45995, 6222, 414, 289, 8369, 334, 2222, 16, 309, 374, 764, 15137, 2003, 14446, 2904, 18, 16566, 4445, 3702, 4770, 4551, 12152, 4256, 1184, 1042, 1175, 18159, 31534, 609, 18, 478, 563, 39067, 4090, 12457, 21183, 30178, 32823, 8682, 29340, 16, 510, 34066, 31534, 609, 18, 510, 2877, 656, 14877, 2678, 32240, 36870, 448, 3860, 16, 24134, 16, 428, 745, 1747, 9258, 506, 16, 282, 970, 2875, 16, 309, 35557, 5066, 18, 2465, 3073, 16, 417, 3887, 272, 13094, 6106, 16, 374, 1800, 1372, 32823, 8682, 29340, 1623, 1717, 867, 16, 374, 6696, 4641, 22941, 18, 9114, 25592, 16, 309, 961, 417, 373, 2963, 14446, 2904, 18, 7200, 510, 481, 4193, 309, 6555, 6138, 48274, 2682, 360, 15310, 18, 11780, 4909, 783, 23736, 322, 1710, 282, 6104, 1045, 16, 5548, 898, 6612, 542, 282, 37920, 16, 329, 813, 3716, 322, 639, 6528, 18, 24605, 651, 1372, 281, 5791, 353, 16, 1381, 9923, 1177, 11299, 282, 9318, 18, 25967, 2253, 309, 28145, 1110, 7010, 2632, 16, 988, 41961, 9264, 7928, 3989, 8249, 12299, 18, 3739, 1176, 2083, 651, 1381, 41669, 1143, 4612, 3705, 477, 5792, 861, 9668, 4551, 22122, 507, 1175, 1034, 28236, 14879, 589, 24113, 4255, 1475, 309, 20421, 4958, 4946, 10528, 7928, 18, 478, 6030, 8682, 29340, 2756, 1440, 536, 5777, 4963, 4958, 5418, 289, 2726, 4568, 15774, 9261, 4909, 1437, 289, 7987, 282, 1767, 2762, 38686, 289, 7928, 16, 510, 1109, 14879, 589, 24113, 18, 510, 1345, 46579, 349, 42408, 3260, 7469, 1810, 3320, 289, 722, 16054, 18, 11780, 4909, 783, 46039, 2768, 32823, 8682, 29340, 281, 3453, 19621, 1963, 18, 2046, 2079, 10561, 19110, 2410, 1269, 18, 889, 3621, 567, 10246, 17064, 16, 374, 329, 813, 11666, 31846, 36992, 8554, 27670, 18, 27680, 7870, 14396, 3662, 7928, 322, 11450, 741, 274, 12944, 1612, 18, 27680, 5331, 28349, 25750, 282, 11341, 5439, 2709, 13808, 758, 16, 3586, 9258, 802, 282, 8107, 547, 4666, 18, 889, 5773, 322, 4927, 861, 10110, 4551, 16244, 27411, 3047, 1175, 25666, 504, 12536, 307, 5881, 1038, 8052, 22246, 5998, 32823, 8682, 29340, 18, 478, 682, 21829, 12101, 2452, 15137, 9858, 3658, 4118, 12793, 282, 3416, 18, 20783, 468, 9722, 282, 4301, 1335, 3320, 9763, 32680, 16, 510, 34066, 504, 12536, 307, 5881, 18, 510, 3397, 656, 39681, 2484, 281, 8383, 1518, 7928, 48274, 441, 448, 3361, 18, 889, 18940, 289, 2397, 8125, 18, 2787, 16, 374, 656, 5358, 339, 33024, 4683, 496, 16, 4360, 14923, 649, 3361, 4927, 18, 2465, 3073, 16417, 16, 374, 1336, 322, 639, 10128, 537, 2236, 1694, 396, 12966, 27842, 11815, 309, 14097, 292, 17, 11622, 282, 14109, 18, 14870, 1038, 8097, 16, 374, 7441, 1055, 10179, 2582, 16148, 539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8535, 8204, 434, 21361, 281, 1286, 1671, 18, 519, 1658, 16, 25, 1671, 18, 349, 24257, 18, 17811, 478, 476, 399, 303, 266, 470, 282, 23032, 5439, 322, 639, 16, 515, 19715, 10956, 282, 3202, 4367, 1001, 582, 18, 26482, 10597, 294, 9747, 10013, 779, 8211, 1033, 828, 282, 816, 4570, 510, 281, 1286, 2791, 349, 519, 3695, 10597, 349, 24257, 18, 9967, 1011, 39888, 354, 685, 29053, 282, 16294, 7638, 4210, 34858, 5269, 289, 5037, 19080, 2407, 4210, 13564, 265, 3141, 18, 30673, 7638, 304, 685, 47541, 10618, 21565, 3930, 1624, 367, 23049, 19080, 510, 7947, 15231, 15561, 18, 4342, 399, 303, 266, 685, 32250, 8728, 761, 18, 459, 7064, 481, 334, 966, 576, 18, 889, 685, 5335, 334, 5842, 46761, 2553, 18, 1598, 7337, 478, 46088, 18, 8381, 470, 11088, 31977, 6264, 1624, 1655, 13900, 2076, 8108, 347, 19080, 3014, 16, 374, 6268, 887, 289, 11811, 6676, 12520, 7811, 281, 16112, 8792, 10059, 289, 19040, 16178, 1188, 4985, 7771, 528, 6596, 18, 19080, 282, 10013, 1045, 757, 19519, 13241, 451, 2590, 368, 289, 31302, 319, 1087, 19317, 297, 18, 740, 360, 978, 20138, 17245, 18, 3747, 334, 3163, 19243, 365, 957, 14479, 16, 492, 6268, 709, 282, 3765, 281, 2123, 309, 1281, 4160, 18, 967, 1670, 294, 14728, 16, 374, 3269, 1035, 2440, 399, 16335, 16, 1586, 19197, 34694, 373, 349, 282, 296, 648, 304, 26349, 43044, 12459, 16, 481, 2903, 2284, 411, 31923, 18, 385, 6688, 22125, 2299, 289, 365, 957, 3740, 16, 289, 31977, 6264, 11623, 34715, 16, 374, 39888, 266, 685, 32958, 2559, 323, 16, 23172, 364, 22945, 1175, 16, 26513, 42557, 11930, 309, 9805, 8275, 415, 22226, 726, 1248, 1205, 1011, 3696, 7194, 23536, 39888, 354, 18, 439, 282, 3998, 6383, 17, 292, 7072, 309, 11460, 8093, 282, 6591, 16, 289, 19186, 19715, 1974, 281, 1420, 18, 365, 5049, 17, 277, 11460, 381, 1166, 701, 289, 19715, 2407, 1858, 381, 1166, 701, 1974, 281, 1420, 18, 42427, 25573, 289, 2891, 25245, 326, 18992, 411, 1949, 9350, 291, 651, 10013, 289, 5049, 5521, 16, 15833, 11009, 1110, 6059, 18, 16923, 15622, 4461, 22852, 44465, 16, 10308, 3308, 8969, 1830, 373, 2301, 9024, 3673, 2954, 18, 740, 14429, 867, 322, 2619, 322, 1698, 11033, 360, 11578, 2035, 9773, 18, 985, 687, 281, 12647, 25783, 25646, 266, 10744, 290, 970, 16, 374, 475, 840, 1904, 16, 1833, 575, 33746, 282, 7065, 17666, 281, 25735, 1004, 4101, 30190, 18, 365, 13186, 21911, 593, 17688, 12679, 281, 10940, 304, 16, 4305, 275, 16, 374, 282, 1175, 2628, 9357, 468, 6059, 10798, 443, 39068, 5521, 18, 12757, 802, 22007, 23996, 16, 3057, 16, 6591, 24966, 289, 18019, 1070, 867, 3899, 12318, 7019, 18, 15602, 451, 7065, 1038, 18604, 3064, 13029, 1979, 4096, 309, 49064, 26476, 18, 385, 2184, 19902, 304, 322, 22806, 537, 282, 32094, 16, 537, 282, 12189, 547, 22398, 1207, 18, 25652, 17, 15975, 4830, 2407, 6370, 26334, 3828, 16, 374, 1003, 8720, 291, 541, 39888, 354, 18, 439, 46038, 10618, 629, 7779, 3828, 478, 46088, 18, 8381, 910, 374, 282, 1175, 1314, 594, 47651, 783, 16, 6177, 16, 5175, 10416, 11601, 16, 515, 481, 6411, 16, 374, 282, 2567, 4190, 322, 840, 537, 7019, 16, 537, 39888, 354, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 5683, 17115, 43091, 15137, 29051, 16586, 933, 6961, 7928, 473, 6030, 8682, 29340, 814, 7042, 32712, 4909, 1437, 26765, 33598, 2768, 3320, 16, 35596, 275, 1817, 17929, 334, 13460, 722, 13835, 2675, 18, 31224, 30, 563, 3031, 564, 43091, 15137, 29051, 16586, 933, 6961, 7928, 2732, 435, 7620, 5741, 411, 6603, 18811, 4909, 1437, 18, 365, 4459, 3320, 639, 35596, 315, 8585, 3000, 2794, 1280, 18, 45995, 6222, 414, 289, 8369, 334, 2222, 16, 309, 374, 764, 15137, 2003, 14446, 2904, 18, 16566, 4445, 3702, 4770, 4551, 12152, 4256, 1184, 1042, 1175, 18159, 31534, 609, 18, 478, 563, 39067, 4090, 12457, 21183, 30178, 32823, 8682, 29340, 16, 510, 34066, 31534, 609, 18, 510, 2877, 656, 14877, 2678, 32240, 36870, 448, 3860, 16, 24134, 16, 428, 745, 1747, 9258, 506, 16, 282, 970, 2875, 16, 309, 35557, 5066, 18, 2465, 3073, 16, 417, 3887, 272, 13094, 6106, 16, 374, 1800, 1372, 32823, 8682, 29340, 1623, 1717, 867, 16, 374, 6696, 4641, 22941, 18, 9114, 25592, 16, 309, 961, 417, 373, 2963, 14446, 2904, 18, 7200, 510, 481, 4193, 309, 6555, 6138, 48274, 2682, 360, 15310, 18, 11780, 4909, 783, 23736, 322, 1710, 282, 6104, 1045, 16, 5548, 898, 6612, 542, 282, 37920, 16, 329, 813, 3716, 322, 639, 6528, 18, 24605, 651, 1372, 281, 5791, 353, 16, 1381, 9923, 1177, 11299, 282, 9318, 18, 25967, 2253, 309, 28145, 1110, 7010, 2632, 16, 988, 41961, 9264, 7928, 3989, 8249, 12299, 18, 3739, 1176, 2083, 651, 1381, 41669, 1143, 4612, 3705, 477, 5792, 861, 9668, 4551, 22122, 507, 1175, 1034, 28236, 14879, 589, 24113, 4255, 1475, 309, 20421, 4958, 4946, 10528, 7928, 18, 478, 6030, 8682, 29340, 2756, 1440, 536, 5777, 4963, 4958, 5418, 289, 2726, 4568, 15774, 9261, 4909, 1437, 289, 7987, 282, 1767, 2762, 38686, 289, 7928, 16, 510, 1109, 14879, 589, 24113, 18, 510, 1345, 46579, 349, 42408, 3260, 7469, 1810, 3320, 289, 722, 16054, 18, 11780, 4909, 783, 46039, 2768, 32823, 8682, 29340, 281, 3453, 19621, 1963, 18, 2046, 2079, 10561, 19110, 2410, 1269, 18, 889, 3621, 567, 10246, 17064, 16, 374, 329, 813, 11666, 31846, 36992, 8554, 27670, 18, 27680, 7870, 14396, 3662, 7928, 322, 11450, 741, 274, 12944, 1612, 18, 27680, 5331, 28349, 25750, 282, 11341, 5439, 2709, 13808, 758, 16, 3586, 9258, 802, 282, 8107, 547, 4666, 18, 889, 5773, 322, 4927, 861, 10110, 4551, 16244, 27411, 3047, 1175, 25666, 504, 12536, 307, 5881, 1038, 8052, 22246, 5998, 32823, 8682, 29340, 18, 478, 682, 21829, 12101, 2452, 15137, 9858, 3658, 4118, 12793, 282, 3416, 18, 20783, 468, 9722, 282, 4301, 1335, 3320, 9763, 32680, 16, 510, 34066, 504, 12536, 307, 5881, 18, 510, 3397, 656, 39681, 2484, 281, 8383, 1518, 7928, 48274, 441, 448, 3361, 18, 889, 18940, 289, 2397, 8125, 18, 2787, 16, 374, 656, 5358, 339, 33024, 4683, 496, 16, 4360, 14923, 649, 3361, 4927, 18, 2465, 3073, 16417, 16, 374, 1336, 322, 639, 10128, 537, 2236, 1694, 396, 12966, 27842, 11815, 309, 14097, 292, 17, 11622, 282, 14109, 18, 14870, 1038, 8097, 16, 374, 7441, 1055, 10179, 2582, 16148, 539 ]
[ 2904, 24349, 19956, 16, 367, 1038, 12278, 45593, 16, 697, 4119, 371, 307, 19513, 861, 2814, 305, 451, 4770, 27243, 730, 17711, 32251, 8494, 294, 478, 42359, 1116, 334, 594, 1744, 4830, 277, 4909, 1437, 861, 478, 1009, 521, 554, 3222, 16620, 11437, 4040, 541, 703, 2706, 17, 295, 18, 4149, 18668, 282, 4432, 16, 374, 43027, 5773, 322, 15558, 537, 309, 2710, 2393, 20791, 16, 510, 4725, 32251, 18, 510, 889, 44251, 2493, 464, 3589, 289, 4307, 2844, 26573, 564, 16, 988, 15406, 289, 2178, 1349, 291, 2504, 322, 396, 2285, 18, 1178, 1800, 3237, 1247, 334, 15504, 17, 299, 6723, 954, 16, 502, 726, 4505, 282, 10384, 4079, 2417, 635, 11660, 3003, 18, 2387, 1033, 23757, 14298, 309, 43035, 16, 828, 11471, 18, 2876, 13608, 2420, 2155, 4909, 1437, 8302, 4573, 309, 1514, 7266, 14452, 16, 2003, 953, 477, 11471, 1134, 334, 4487, 38953, 16, 3176, 4360, 46604, 783, 18, 7793, 15826, 289, 16020, 11035, 16, 20406, 13189, 16, 961, 13731, 23515, 7194, 9959, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 9489, 27839, 986, 6841, 3422, 36434, 14583, 16, 29838, 11775, 18, 34608, 978, 1055, 322, 519, 3915, 7533, 318, 16, 24737, 37327, 697, 428, 281, 2175, 1354, 16, 453, 289, 281, 5015, 9164, 47060, 18, 31224, 30, 8756, 16, 4106, 3225, 12226, 649, 519, 27839, 986, 16, 1698, 2500, 26753, 510, 1011, 978, 6764, 6841, 3422, 36434, 7083, 1954, 16, 4511, 3391, 7193, 27591, 411, 9893, 289, 2145, 18, 415, 3177, 26352, 745, 13737, 282, 15959, 27148, 18, 6592, 14371, 8750, 617, 19768, 872, 266, 613, 16, 6841, 3422, 2122, 356, 286, 1144, 315, 33307, 334, 3538, 2411, 427, 18, 1787, 1512, 282, 7353, 2555, 17, 5737, 986, 19031, 7109, 986, 6841, 3422, 1194, 342, 21726, 18, 2046, 334, 38926, 21442, 6764, 16, 5175, 16, 481, 5429, 322, 9728, 18, 26959, 411, 19710, 883, 718, 7377, 282, 47222, 326, 289, 30851, 2725, 589, 286, 613, 282, 23522, 26096, 5024, 1715, 290, 41196, 7813, 1275, 16, 3279, 282, 5021, 17, 6488, 6206, 22716, 47113, 986, 18, 985, 5121, 16, 334, 38926, 978, 6764, 697, 6841, 3422, 29584, 300, 14583, 18, 996, 16, 294, 27839, 17912, 9700, 12226, 649, 519, 40051, 4896, 3610, 5999, 2046, 2733, 575, 492, 5702, 289, 282, 40051, 16, 289, 282, 39830, 986, 510, 12208, 519, 22651, 18, 6234, 575, 3560, 8866, 17583, 289, 329, 27482, 432, 7018, 16, 3057, 16, 7240, 1385, 1449, 3562, 670, 322, 7821, 314, 16, 15833, 24737, 510, 334, 38926, 21442, 6764, 6841, 3422, 36434, 2961, 17789, 18, 478, 5801, 329, 813, 7203, 281, 31466, 1134, 289, 42980, 2608, 35, 824, 5833, 3538, 502, 16, 374, 656, 1220, 3413, 27100, 23121, 910, 510, 49595, 8942, 17089, 1344, 33080, 842, 16, 1176, 411, 12137, 5981, 18, 3791, 24737, 16170, 32934, 6591, 46842, 1354, 18, 996, 16, 827, 2496, 13849, 1378, 282, 32545, 1045, 6367, 5981, 519, 27839, 986, 12226, 925, 1472, 18132, 16, 2496, 13849, 1378, 282, 24513, 1045, 2567, 639, 726, 13671, 18, 889, 9245, 282, 970, 2875, 289, 477, 3585, 8498, 14866, 8750, 617, 16, 15833, 16188, 1810, 18, 996, 16, 2496, 1110, 16, 1085, 12226, 364, 519, 6374, 986, 16, 6841, 3422, 282, 3178, 779, 25607, 1760, 7418, 367, 7614, 11411, 29278, 1354, 510, 5270, 986, 18, 824, 38926, 19779, 17, 11884, 6764, 6841, 3422, 2842, 2565, 519, 3436, 7418, 367, 7614, 11411, 29278, 1354, 850, 5279, 519, 816, 16, 27, 986, 18, 608, 6459, 17, 7181, 17, 1123, 1608, 1512, 8750, 622, 13981, 411, 17, 431, 27351, 17, 31512, 10442, 12615, 16, 2792, 17594, 16, 35363, 896, 712, 16, 25086, 289, 25661, 39591, 18, 49865, 36583, 16, 374, 518, 16, 1085, 2564, 590, 6148, 1177, 19641, 16, 6547, 481, 4426, 428, 29476, 3250, 2805, 6086, 16, 453, 289, 1654, 14073, 49090, 954, 18, 478, 42415, 5024, 4266, 290, 970, 16, 374, 1055, 322, 5092, 13639, 9104, 6570, 46842, 1354, 1631, 910, 510, 5273, 33080, 842, 18, 478, 5798, 656, 8953, 339, 6807, 1251, 2759, 5015, 26861, 289, 25014, 47060, 16, 7071, 428, 16574, 289, 1089, 1354, 16, 656, 8953, 339, 16, 2006, 1749, 1698, 28218, 6374, 986, 289, 1143, 16, 510, 2548, 12987, 282, 1767, 30023, 768, 380, 6157, 28888, 2099, 18, 510, 19735, 286, 8570, 16, 961, 8252, 21029, 541, 8182, 16, 510, 4927, 38310, 16, 6908, 27670, 510, 5175, 16, 322, 2410, 3799, 318, 282, 12283, 304, 7353, 861, 44760, 545, 16093, 31759, 8553, 2272, 16, 6312, 27723, 42093, 779, 289, 3429, 1712, 3818, 22011, 5406, 282, 2968, 16, 334, 722, 3163, 16, 1375, 6818, 334, 1871, 28596, 282, 1119, 18, 1253, 15756, 9014, 668, 39391, 282, 35763, 986, 687, 1548, 16, 374, 411, 17, 431, 1791, 477, 48785, 1450, 639, 7339, 21360, 49009, 18, 5043, 16, 16171, 12226, 649, 519, 22651, 986, 475, 3066, 322, 2410, 43348, 510, 481, 15486, 4679, 19772, 411, 3417, 4500, 18, 289, 4679, 31673, 411, 9433, 16, 15833, 24737, 18, 8919, 290, 970, 16, 33810, 9823, 1158, 549, 29278, 1354, 16, 1623, 21045, 43870, 30852, 282, 16037, 14025, 18, 996, 16, 282, 2343, 4145, 779, 4786, 11673, 13005, 5095, 31632, 1624, 374, 7006, 520, 4106, 17, 299, 9553, 28218, 1143, 28244, 986, 18, 7249, 309, 502, 374, 7581, 1354, 6353, 33725, 16, 722, 29278, 3716, 19327, 7083, 1954, 16, 40530, 24737, 18, 459, 44620, 10125, 28244, 17, 7745, 12455, 7006, 520, 9553, 749, 26724, 24828, 291, 282, 1767, 3808, 304, 1383, 15960, 18, 439, 8148, 4786, 27591, 16, 7415, 16, 322, 10675, 4302, 5807, 5537, 20481, 924, 16, 374, 29278, 1354, 1631, 11176, 798, 18, 1178, 1851, 17, 299, 28653, 289, 5092, 16, 502, 492, 1055, 374, 2709, 400, 2033, 16, 6881, 745, 18, 478, 677, 12906, 17, 263, 3142, 1749, 3005, 16419, 12226, 649, 519, 5259, 986, 16, 282, 10423, 17, 263, 510, 519, 21547, 16, 1800, 510, 726, 519, 23902, 18, 43825, 29278, 1354, 16, 8084, 16, 1320, 21606, 910, 510, 4266, 16188, 1810, 18, 39104, 47742, 16, 1851, 840, 29278, 1354, 282, 7823, 16, 45802, 745, 510, 1696, 1177, 15497, 282, 13225, 323, 4996, 5917, 360, 8786, 16, 18835, 289, 21002, 8468, 1354, 18, 6592, 3818, 12651, 35854, 395, 16, 2454, 3250, 537, 868, 6047, 3334, 31663, 7771, 16, 28653, 26847, 46842, 1354, 541, 4717, 4896, 34013, 16, 27, 779, 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 ]
[ 2904, 24349, 19956, 16, 367, 1038, 12278, 45593, 16, 697, 4119, 371, 307, 19513, 861, 2814, 305, 451, 4770, 27243, 730, 17711, 32251, 8494, 294, 478, 42359, 1116, 334, 594, 1744, 4830, 277, 4909, 1437, 861, 478, 1009, 521, 554, 3222, 16620, 11437, 4040, 541, 703, 2706, 17, 295, 18, 4149, 18668, 282, 4432, 16, 374, 43027, 5773, 322, 15558, 537, 309, 2710, 2393, 20791, 16, 510, 4725, 32251, 18, 510, 889, 44251, 2493, 464, 3589, 289, 4307, 2844, 26573, 564, 16, 988, 15406, 289, 2178, 1349, 291, 2504, 322, 396, 2285, 18, 1178, 1800, 3237, 1247, 334, 15504, 17, 299, 6723, 954, 16, 502, 726, 4505, 282, 10384, 4079, 2417, 635, 11660, 3003, 18, 2387, 1033, 23757, 14298, 309, 43035, 16, 828, 11471, 18, 2876, 13608, 2420, 2155, 4909, 1437, 8302, 4573, 309, 1514, 7266, 14452, 16, 2003, 953, 477, 11471, 1134, 334, 4487, 38953, 16, 3176, 4360, 46604, 783, 18, 7793, 15826, 289, 16020, 11035, 16, 20406, 13189, 16, 961, 13731, 23515, 7194, 9959, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 36082, 17, 11622, 18, 2, 1, 87, 1456, 81, 2448, 30, 9489, 27839, 986, 6841, 3422, 36434, 14583, 16, 29838, 11775, 18, 34608, 978, 1055, 322, 519, 3915, 7533, 318, 16, 24737, 37327, 697, 428, 281, 2175, 1354, 16, 453, 289, 281, 5015, 9164, 47060, 18, 31224, 30, 8756, 16, 4106, 3225, 12226, 649, 519, 27839, 986, 16, 1698, 2500, 26753, 510, 1011, 978, 6764, 6841, 3422, 36434, 7083, 1954, 16, 4511, 3391, 7193, 27591, 411, 9893, 289, 2145, 18, 415, 3177, 26352, 745, 13737, 282, 15959, 27148, 18, 6592, 14371, 8750, 617, 19768, 872, 266, 613, 16, 6841, 3422, 2122, 356, 286, 1144, 315, 33307, 334, 3538, 2411, 427, 18, 1787, 1512, 282, 7353, 2555, 17, 5737, 986, 19031, 7109, 986, 6841, 3422, 1194, 342, 21726, 18, 2046, 334, 38926, 21442, 6764, 16, 5175, 16, 481, 5429, 322, 9728, 18, 26959, 411, 19710, 883, 718, 7377, 282, 47222, 326, 289, 30851, 2725, 589, 286, 613, 282, 23522, 26096, 5024, 1715, 290, 41196, 7813, 1275, 16, 3279, 282, 5021, 17, 6488, 6206, 22716, 47113, 986, 18, 985, 5121, 16, 334, 38926, 978, 6764, 697, 6841, 3422, 29584, 300, 14583, 18, 996, 16, 294, 27839, 17912, 9700, 12226, 649, 519, 40051, 4896, 3610, 5999, 2046, 2733, 575, 492, 5702, 289, 282, 40051, 16, 289, 282, 39830, 986, 510, 12208, 519, 22651, 18, 6234, 575, 3560, 8866, 17583, 289, 329, 27482, 432, 7018, 16, 3057, 16, 7240, 1385, 1449, 3562, 670, 322, 7821, 314, 16, 15833, 24737, 510, 334, 38926, 21442, 6764, 6841, 3422, 36434, 2961, 17789, 18, 478, 5801, 329, 813, 7203, 281, 31466, 1134, 289, 42980, 2608, 35, 824, 5833, 3538, 502, 16, 374, 656, 1220, 3413, 27100, 23121, 910, 510, 49595, 8942, 17089, 1344, 33080, 842, 16, 1176, 411, 12137, 5981, 18, 3791, 24737, 16170, 32934, 6591, 46842, 1354, 18, 996, 16, 827, 2496, 13849, 1378, 282, 32545, 1045, 6367, 5981, 519, 27839, 986, 12226, 925, 1472, 18132, 16, 2496, 13849, 1378, 282, 24513, 1045, 2567, 639, 726, 13671, 18, 889, 9245, 282, 970, 2875, 289, 477, 3585, 8498, 14866, 8750, 617, 16, 15833, 16188, 1810, 18, 996, 16, 2496, 1110, 16, 1085, 12226, 364, 519, 6374, 986, 16, 6841, 3422, 282, 3178, 779, 25607, 1760, 7418, 367, 7614, 11411, 29278, 1354, 510, 5270, 986, 18, 824, 38926, 19779, 17, 11884, 6764, 6841, 3422, 2842, 2565, 519, 3436, 7418, 367, 7614, 11411, 29278, 1354, 850, 5279, 519, 816, 16, 27, 986, 18, 608, 6459, 17, 7181, 17, 1123, 1608, 1512, 8750, 622, 13981, 411, 17, 431, 27351, 17, 31512, 10442, 12615, 16, 2792, 17594, 16, 35363, 896, 712, 16, 25086, 289, 25661, 39591, 18, 49865, 36583, 16, 374, 518, 16, 1085, 2564, 590, 6148, 1177, 19641, 16, 6547, 481, 4426, 428, 29476, 3250, 2805, 6086, 16, 453, 289, 1654, 14073, 49090, 954, 18, 478, 42415, 5024, 4266, 290, 970, 16, 374, 1055, 322, 5092, 13639, 9104, 6570, 46842, 1354, 1631, 910, 510, 5273, 33080, 842, 18, 478, 5798, 656, 8953, 339, 6807, 1251, 2759, 5015, 26861, 289, 25014, 47060, 16, 7071, 428, 16574, 289, 1089, 1354, 16, 656, 8953, 339, 16, 2006, 1749, 1698, 28218, 6374, 986, 289, 1143, 16, 510, 2548, 12987, 282, 1767, 30023, 768, 380, 6157, 28888, 2099, 18, 510, 19735, 286, 8570, 16, 961, 8252, 21029, 541, 8182, 16, 510, 4927, 38310, 16, 6908, 27670, 510, 5175, 16, 322, 2410, 3799, 318, 282, 12283, 304, 7353, 861, 44760, 545, 16093, 31759, 8553, 2272, 16, 6312, 27723, 42093, 779, 289, 3429, 1712, 3818, 22011, 5406, 282, 2968, 16, 334, 722, 3163, 16, 1375, 6818, 334, 1871, 28596, 282, 1119, 18, 1253, 15756, 9014, 668, 39391, 282, 35763, 986, 687, 1548, 16, 374, 411, 17, 431, 1791, 477, 48785, 1450, 639, 7339, 21360, 49009, 18, 5043, 16, 16171, 12226, 649, 519, 22651, 986, 475, 3066, 322, 2410, 43348, 510, 481, 15486, 4679, 19772, 411, 3417, 4500, 18, 289, 4679, 31673, 411, 9433, 16, 15833, 24737, 18, 8919, 290, 970, 16, 33810, 9823, 1158, 549, 29278, 1354, 16, 1623, 21045, 43870, 30852, 282, 16037, 14025, 18, 996, 16, 282, 2343, 4145, 779, 4786, 11673, 13005, 5095, 31632, 1624, 374, 7006, 520, 4106, 17, 299, 9553, 28218, 1143, 28244, 986, 18, 7249, 309, 502, 374, 7581, 1354, 6353, 33725, 16, 722, 29278, 3716, 19327, 7083, 1954, 16, 40530, 24737, 18, 459, 44620, 10125, 28244, 17, 7745, 12455, 7006, 520, 9553, 749, 26724, 24828, 291, 282, 1767, 3808, 304, 1383, 15960, 18, 439, 8148, 4786, 27591, 16, 7415, 16, 322, 10675, 4302, 5807, 5537, 20481, 924, 16, 374, 29278, 1354, 1631, 11176, 798, 18, 1178, 1851, 17, 299, 28653, 289, 5092, 16, 502, 492, 1055, 374, 2709, 400, 2033, 16, 6881, 745, 18, 478, 677, 12906, 17, 263, 3142, 1749, 3005, 16419, 12226, 649, 519, 5259, 986, 16, 282, 10423, 17, 263, 510, 519, 21547, 16, 1800, 510, 726, 519, 23902, 18, 43825, 29278, 1354, 16, 8084, 16, 1320, 21606, 910, 510, 4266, 16188, 1810, 18, 39104, 47742, 16, 1851, 840, 29278, 1354, 282, 7823, 16, 45802, 745, 510, 1696, 1177, 15497, 282, 13225, 323, 4996, 5917, 360, 8786, 16, 18835, 289, 21002, 8468, 1354, 18, 6592, 3818, 12651, 35854, 395, 16, 2454, 3250, 537, 868, 6047, 3334, 31663, 7771, 16, 28653, 26847, 46842, 1354, 541, 4717, 4896, 34013, 16, 27, 779, 16 ]
[ 541, 5164, 510, 46033, 16, 21, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 12003, 16084, 296, 20627, 20925, 1175, 282, 4301, 8547, 294, 4027, 552, 2422, 16, 18653, 22897, 282, 2343, 4160, 282, 11752, 16, 11623, 42100, 332, 8616, 18155, 18, 2112, 4466, 6548, 9680, 7342, 16722, 43594, 266, 4725, 3541, 451, 2441, 16, 8566, 13678, 347, 10095, 33531, 289, 14403, 16, 374, 3696, 341, 44108, 2452, 349, 2846, 2299, 519, 25067, 34472, 18, 31224, 30, 12003, 16084, 296, 20627, 20925, 1175, 13282, 43424, 6457, 668, 10927, 1642, 1188, 4027, 496, 2422, 18, 8859, 5298, 309, 8616, 37970, 43594, 354, 757, 3591, 18, 459, 16, 37502, 1743, 16, 5298, 16, 428, 2874, 26866, 1549, 839, 1011, 6979, 20113, 16355, 1262, 16, 282, 8552, 323, 5492, 45028, 8430, 16, 16004, 281, 9600, 10514, 536, 32387, 7342, 18155, 16, 19060, 3716, 7970, 3049, 18, 5181, 2117, 20452, 309, 30482, 16, 1391, 735, 2545, 430, 16, 25, 4500, 18, 15364, 18, 40787, 536, 5734, 10133, 7818, 942, 281, 6525, 18, 5005, 43594, 266, 22111, 39556, 1119, 20446, 11788, 16, 282, 502, 808, 428, 583, 16701, 937, 16249, 18, 4039, 4160, 3771, 510, 2228, 3651, 299, 17, 26157, 405, 4518, 4160, 29517, 510, 3771, 5741, 4160, 3771, 510, 13238, 17, 280, 11, 732, 2594, 441, 430, 3597, 9807, 510, 3771, 491, 3597, 38835, 510, 3771, 42881, 10689, 23587, 9526, 7342, 1175, 30, 7947, 768, 521, 513, 289, 40128, 31617, 1798, 510, 322, 14725, 18, 5850, 887, 9535, 309, 41488, 16, 935, 322, 1968, 1063, 29141, 368, 510, 34876, 887, 282, 28814, 1165, 18, 10512, 33901, 2845, 24442, 16627, 13357, 2175, 30, 11303, 6552, 812, 22533, 1624, 4210, 49420, 1624, 13206, 1241, 1152, 16, 4210, 7263, 274, 289, 6096, 40519, 18, 459, 6287, 7977, 20925, 1175, 17279, 332, 18, 999, 5487, 1871, 7130, 4466, 2874, 322, 8074, 326, 537, 2236, 26654, 16, 367, 11986, 9395, 2581, 2829, 36851, 1061, 30, 20, 18, 391, 455, 4892, 5199, 20925, 1175, 322, 3207, 2651, 4698, 11693, 2411, 8317, 23523, 18, 365, 25152, 25509, 322, 939, 2532, 17712, 16, 367, 282, 31277, 14725, 1965, 39382, 8666, 18, 20431, 600, 48097, 30305, 1192, 307, 289, 13678, 347, 1624, 4345, 373, 7732, 14596, 3207, 1852, 20941, 416, 18, 439, 453, 16, 1223, 1472, 1286, 30, 3572, 18, 9993, 16, 478, 29356, 2300, 470, 2458, 7168, 4176, 979, 282, 4056, 23523, 18, 21561, 47632, 3437, 717, 7492, 18218, 883, 349, 5487, 1533, 1879, 18, 8859, 15728, 906, 1763, 331, 12720, 41357, 28873, 800, 28098, 281, 38374, 323, 360, 1728, 18698, 18, 5454, 16, 1177, 2083, 8195, 8947, 3728, 39401, 18823, 18155, 16, 1548, 428, 282, 10130, 48087, 18956, 3771, 282, 8267, 453, 289, 322, 23581, 289, 38552, 25787, 30, 12743, 18, 478, 6161, 19486, 16, 374, 656, 29240, 4698, 5199, 282, 4301, 2759, 8547, 294, 4027, 552, 2422, 16, 502, 656, 23156, 3147, 10660, 18, 4950, 2023, 16, 481, 685, 2597, 28758, 2234, 10133, 16, 510, 14403, 1011, 4466, 43594, 266, 18, 510, 1787, 924, 753, 34930, 294, 13265, 6250, 344, 1381, 5848, 16287, 4705, 16, 515, 481, 475, 7736, 18, 4320, 575, 417, 17335, 867, 16, 374, 1279, 7342, 18155, 656, 49587, 7653, 16, 22986, 20113, 11142, 289, 2141, 16, 4813, 309, 322, 3240, 13609, 6287, 4466, 16, 656, 529, 7618, 15825, 861, 27289, 28383, 7977, 6548, 9680, 8566, 13678, 347, 30, 478, 3001, 15396, 13036, 7977, 18, 629, 7946, 32603, 505, 23126, 18, 817, 15545, 300, 45490, 2768, 282, 986, 1555, 19356, 282, 12938, 289, 282, 5487, 1871, 5576, 8547, 289, 1215, 6441, 18, 40519, 334, 21643, 4960, 16707, 289, 4813, 309, 502, 16, 374, 567, 2992, 11053, 4466, 492, 478, 1567, 9055, 910, 1717, 492, 685, 21340, 2759, 4966, 18, 26036, 3055, 478, 46088, 18, 8381, 470, 309, 6548, 1247, 16, 785, 575, 492, 3696, 341, 44108, 2452, 16, 43594, 266, 14403, 16, 374, 12514, 481, 349, 1421, 17, 29055, 2299, 519, 25067, 34472, 18, 478, 41472, 3490, 18015, 16, 20657, 895, 18520, 16, 510, 1109, 6548, 9680, 7342, 1175, 18, 510, 19613, 6330, 17074, 7726, 12525, 18, 4320, 575, 475, 7393, 1904, 289, 23128, 18, 967, 8883, 506, 322, 294, 5414, 18, 459, 12355, 417, 3027, 2048, 27536, 2272, 2856, 33428, 16, 282, 2114, 656, 14725, 477, 7342, 18155, 18, 11430, 2250, 10965, 735, 5, 629, 935, 289, 322, 2946, 16, 374, 1336, 16, 2406, 281, 8649, 5778, 323, 28915, 10358, 14118, 912, 1574, 10360, 451, 3049, 18, 629, 1139, 46338, 18, 403, 6095, 16, 1143, 282, 3507, 282, 7433, 8547, 322, 6280, 339, 18, 17396, 2033, 309, 3874, 8108, 861, 640, 1247, 16, 309, 374, 895, 1542, 20925, 1175, 16419, 309, 12013, 2422, 43594, 266, 2715, 19194, 3789, 30, 478, 16385, 7885, 381, 803, 3111, 18, 34231, 16, 428, 3984, 6281, 282, 6457, 432, 21273, 18, 740, 1188, 867, 16, 428, 656, 34447, 16628, 5538, 4038, 986, 2158, 309, 813, 2141, 2504, 322, 30290, 18, 996, 374, 322, 3984, 17494, 4694, 4024, 861, 1591, 808, 7977, 309, 41445, 349, 16472, 4770, 2407, 983, 4210, 47888, 18, 33283, 16, 374, 290, 505, 15575, 322, 639, 29128, 18, 415, 342, 553, 373, 898, 2341, 4633, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 7342, 1175, 334, 28915, 7170, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 1281, 334, 2706, 4209, 282, 19842, 298, 478, 6654, 421, 780, 470, 7312, 20653, 478, 822, 344, 4168, 4889, 910, 309, 2114, 43957, 6793, 510, 27232, 9592, 324, 17, 11622, 478, 46541, 470, 4682, 22735, 15690, 10156, 16, 816, 40, 17, 551, 5133, 478, 563, 8981, 434, 11338, 470, 49181, 33424, 5539, 289, 6793, 309, 4332, 668, 6266, 3915, 5839, 478, 24, 30, 8400, 18, 12167, 1119, 309, 11360, 470, 5714, 831, 11900, 287, 394, 18, 31224, 30, 39331, 766, 451, 6963, 7839, 478, 822, 344, 4168, 4889, 470, 3508, 8051, 1293, 15474, 411, 7619, 1110, 16, 961, 840, 29653, 282, 3178, 779, 16, 289, 20037, 1595, 6197, 2067, 2248, 902, 269, 23037, 16533, 1251, 478, 684, 14573, 16227, 620, 470, 289, 4763, 1703, 22647, 40935, 937, 339, 18, 5403, 3756, 478, 822, 344, 4168, 4889, 470, 282, 42690, 6003, 27917, 309, 44435, 30, 421, 26843, 1182, 726, 15516, 16, 367, 478, 822, 344, 4168, 4889, 470, 764, 322, 3227, 19976, 18, 640, 1184, 329, 478, 31779, 346, 4889, 470, 939, 34271, 510, 13004, 34685, 15474, 3257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 541, 5164, 510, 46033, 16, 21, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 12003, 16084, 296, 20627, 20925, 1175, 282, 4301, 8547, 294, 4027, 552, 2422, 16, 18653, 22897, 282, 2343, 4160, 282, 11752, 16, 11623, 42100, 332, 8616, 18155, 18, 2112, 4466, 6548, 9680, 7342, 16722, 43594, 266, 4725, 3541, 451, 2441, 16, 8566, 13678, 347, 10095, 33531, 289, 14403, 16, 374, 3696, 341, 44108, 2452, 349, 2846, 2299, 519, 25067, 34472, 18, 31224, 30, 12003, 16084, 296, 20627, 20925, 1175, 13282, 43424, 6457, 668, 10927, 1642, 1188, 4027, 496, 2422, 18, 8859, 5298, 309, 8616, 37970, 43594, 354, 757, 3591, 18, 459, 16, 37502, 1743, 16, 5298, 16, 428, 2874, 26866, 1549, 839, 1011, 6979, 20113, 16355, 1262, 16, 282, 8552, 323, 5492, 45028, 8430, 16, 16004, 281, 9600, 10514, 536, 32387, 7342, 18155, 16, 19060, 3716, 7970, 3049, 18, 5181, 2117, 20452, 309, 30482, 16, 1391, 735, 2545, 430, 16, 25, 4500, 18, 15364, 18, 40787, 536, 5734, 10133, 7818, 942, 281, 6525, 18, 5005, 43594, 266, 22111, 39556, 1119, 20446, 11788, 16, 282, 502, 808, 428, 583, 16701, 937, 16249, 18, 4039, 4160, 3771, 510, 2228, 3651, 299, 17, 26157, 405, 4518, 4160, 29517, 510, 3771, 5741, 4160, 3771, 510, 13238, 17, 280, 11, 732, 2594, 441, 430, 3597, 9807, 510, 3771, 491, 3597, 38835, 510, 3771, 42881, 10689, 23587, 9526, 7342, 1175, 30, 7947, 768, 521, 513, 289, 40128, 31617, 1798, 510, 322, 14725, 18, 5850, 887, 9535, 309, 41488, 16, 935, 322, 1968, 1063, 29141, 368, 510, 34876, 887, 282, 28814, 1165, 18, 10512, 33901, 2845, 24442, 16627, 13357, 2175, 30, 11303, 6552, 812, 22533, 1624, 4210, 49420, 1624, 13206, 1241, 1152, 16, 4210, 7263, 274, 289, 6096, 40519, 18, 459, 6287, 7977, 20925, 1175, 17279, 332, 18, 999, 5487, 1871, 7130, 4466, 2874, 322, 8074, 326, 537, 2236, 26654, 16, 367, 11986, 9395, 2581, 2829, 36851, 1061, 30, 20, 18, 391, 455, 4892, 5199, 20925, 1175, 322, 3207, 2651, 4698, 11693, 2411, 8317, 23523, 18, 365, 25152, 25509, 322, 939, 2532, 17712, 16, 367, 282, 31277, 14725, 1965, 39382, 8666, 18, 20431, 600, 48097, 30305, 1192, 307, 289, 13678, 347, 1624, 4345, 373, 7732, 14596, 3207, 1852, 20941, 416, 18, 439, 453, 16, 1223, 1472, 1286, 30, 3572, 18, 9993, 16, 478, 29356, 2300, 470, 2458, 7168, 4176, 979, 282, 4056, 23523, 18, 21561, 47632, 3437, 717, 7492, 18218, 883, 349, 5487, 1533, 1879, 18, 8859, 15728, 906, 1763, 331, 12720, 41357, 28873, 800, 28098, 281, 38374, 323, 360, 1728, 18698, 18, 5454, 16, 1177, 2083, 8195, 8947, 3728, 39401, 18823, 18155, 16, 1548, 428, 282, 10130, 48087, 18956, 3771, 282, 8267, 453, 289, 322, 23581, 289, 38552, 25787, 30, 12743, 18, 478, 6161, 19486, 16, 374, 656, 29240, 4698, 5199, 282, 4301, 2759, 8547, 294, 4027, 552, 2422, 16, 502, 656, 23156, 3147, 10660, 18, 4950, 2023, 16, 481, 685, 2597, 28758, 2234, 10133, 16, 510, 14403, 1011, 4466, 43594, 266, 18, 510, 1787, 924, 753, 34930, 294, 13265, 6250, 344, 1381, 5848, 16287, 4705, 16, 515, 481, 475, 7736, 18, 4320, 575, 417, 17335, 867, 16, 374, 1279, 7342, 18155, 656, 49587, 7653, 16, 22986, 20113, 11142, 289, 2141, 16, 4813, 309, 322, 3240, 13609, 6287, 4466, 16, 656, 529, 7618, 15825, 861, 27289, 28383, 7977, 6548, 9680, 8566, 13678, 347, 30, 478, 3001, 15396, 13036, 7977, 18, 629, 7946, 32603, 505, 23126, 18, 817, 15545, 300, 45490, 2768, 282, 986, 1555, 19356, 282, 12938, 289, 282, 5487, 1871, 5576, 8547, 289, 1215, 6441, 18, 40519, 334, 21643, 4960, 16707, 289, 4813, 309, 502, 16, 374, 567, 2992, 11053, 4466, 492, 478, 1567, 9055, 910, 1717, 492, 685, 21340, 2759, 4966, 18, 26036, 3055, 478, 46088, 18, 8381, 470, 309, 6548, 1247, 16, 785, 575, 492, 3696, 341, 44108, 2452, 16, 43594, 266, 14403, 16, 374, 12514, 481, 349, 1421, 17, 29055, 2299, 519, 25067, 34472, 18, 478, 41472, 3490, 18015, 16, 20657, 895, 18520, 16, 510, 1109, 6548, 9680, 7342, 1175, 18, 510, 19613, 6330, 17074, 7726, 12525, 18, 4320, 575, 475, 7393, 1904, 289, 23128, 18, 967, 8883, 506, 322, 294, 5414, 18, 459, 12355, 417, 3027, 2048, 27536, 2272, 2856, 33428, 16, 282, 2114, 656, 14725, 477, 7342, 18155, 18, 11430, 2250, 10965, 735, 5, 629, 935, 289, 322, 2946, 16, 374, 1336, 16, 2406, 281, 8649, 5778, 323, 28915, 10358, 14118, 912, 1574, 10360, 451, 3049, 18, 629, 1139, 46338, 18, 403, 6095, 16, 1143, 282, 3507, 282, 7433, 8547, 322, 6280, 339, 18, 17396, 2033, 309, 3874, 8108, 861, 640, 1247, 16, 309, 374, 895, 1542, 20925, 1175, 16419, 309, 12013, 2422, 43594, 266, 2715, 19194, 3789, 30, 478, 16385, 7885, 381, 803, 3111, 18, 34231, 16, 428, 3984, 6281, 282, 6457, 432, 21273, 18, 740, 1188, 867, 16, 428, 656, 34447, 16628, 5538, 4038, 986, 2158, 309, 813, 2141, 2504, 322, 30290, 18, 996, 374, 322, 3984, 17494, 4694, 4024, 861, 1591, 808, 7977, 309, 41445, 349, 16472, 4770, 2407, 983, 4210, 47888, 18, 33283, 16, 374, 290, 505, 15575, 322, 639, 29128, 18, 415, 342, 553, 373, 898, 2341, 4633, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 7342, 1175, 334, 28915, 7170, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 1281, 334, 2706, 4209, 282, 19842, 298, 478, 6654, 421, 780, 470, 7312, 20653, 478, 822, 344, 4168, 4889, 910, 309, 2114, 43957, 6793, 510, 27232, 9592, 324, 17, 11622, 478, 46541, 470, 4682, 22735, 15690, 10156, 16, 816, 40, 17, 551, 5133, 478, 563, 8981, 434, 11338, 470, 49181, 33424, 5539, 289, 6793, 309, 4332, 668, 6266, 3915, 5839, 478, 24, 30, 8400, 18, 12167, 1119, 309, 11360, 470, 5714, 831, 11900, 287, 394, 18, 31224, 30, 39331, 766, 451, 6963, 7839, 478, 822, 344, 4168, 4889, 470, 3508, 8051, 1293, 15474, 411, 7619, 1110, 16, 961, 840, 29653, 282, 3178, 779, 16, 289, 20037, 1595, 6197, 2067, 2248, 902, 269, 23037, 16533, 1251, 478, 684, 14573, 16227, 620, 470, 289, 4763, 1703, 22647, 40935, 937, 339, 18, 5403, 3756, 478, 822, 344, 4168, 4889, 470, 282, 42690, 6003, 27917, 309, 44435, 30, 421, 26843, 1182, 726, 15516, 16, 367, 478, 822, 344, 4168, 4889, 470, 764, 322, 3227, 19976, 18, 640, 1184, 329, 478, 31779, 346, 4889, 470, 939, 34271, 510, 13004, 34685, 15474, 3257 ]
[ 2207, 7102, 373, 16, 3057, 16, 9318, 294, 2506, 15078, 10403, 18509, 1369, 1520, 837, 478, 28, 430, 19, 22, 910, 1586, 20142, 1623, 2059, 411, 3322, 20063, 309, 421, 26843, 1182, 18, 478, 18386, 18, 8381, 470, 14231, 6197, 8556, 334, 6793, 395, 17914, 478, 822, 344, 4168, 4889, 861, 478, 46541, 470, 4682, 22735, 15690, 10156, 2871, 15909, 778, 15832, 13251, 8577, 4682, 5888, 15690, 10156, 8494, 294, 8540, 23406, 289, 28474, 12376, 9410, 478, 49932, 516, 2635, 3536, 516, 27266, 278, 470, 9592, 23380, 40935, 13786, 473, 964, 19953, 6793, 478, 15664, 525, 32338, 470, 17060, 282, 5021, 17, 277, 814, 16842, 13953, 1162, 2808, 10504, 11499, 1123, 1608, 27664, 12475, 42523, 5251, 9885, 5491, 1433, 30, 1011, 584, 20270, 25078, 473, 44621, 22875, 5888, 6331, 342, 13, 16151, 3977, 282, 28357, 547, 13735, 16, 722, 11278, 3321, 349, 13746, 4079, 14074, 10471, 11656, 1519, 7557, 18, 7249, 309, 44697, 276, 9079, 473, 22234, 4938, 1614, 293, 872, 25408, 34892, 313, 473, 13997, 17, 20327, 265, 30205, 1520, 11015, 6778, 25349, 21633, 10968, 282, 13335, 289, 25913, 1211, 349, 1420, 583, 18, 6552, 7224, 742, 16, 1281, 4209, 16, 667, 18, 3161, 18, 478, 563, 8981, 539, 11338, 816, 40, 470, 49181, 33424, 5539, 45429, 16, 281, 3279, 18159, 33424, 3141, 46133, 2712, 1715, 1939, 986, 16, 1441, 942, 4976, 289, 309, 14244, 14980, 16, 6177, 282, 816, 40, 18, 2112, 3286, 294, 2506, 320, 2047, 43987, 29247, 309, 3586, 15364, 32265, 697, 44329, 289, 9774, 18, 365, 755, 742, 16, 667, 4209, 16, 3695, 18, 3161, 18, 478, 3127, 263, 431, 1666, 1943, 13967, 470, 3551, 1412, 3881, 8270, 307, 999, 6793, 290, 970, 16, 428, 3168, 7050, 9179, 680, 16886, 23817, 48678, 16, 3551, 1412, 3881, 8270, 307, 3619, 478, 49932, 346, 32412, 470, 309, 21329, 1212, 40935, 9419, 282, 803, 1045, 18, 378, 278, 49184, 478, 4298, 11570, 28033, 1666, 470, 282, 505, 25097, 34143, 1867, 309, 13297, 21657, 1749, 16, 10901, 1453, 349, 2246, 1775, 8150, 289, 10566, 1453, 294, 3017, 395, 360, 1760, 986, 519, 28147, 26589, 12851, 18, 999, 2872, 575, 656, 45902, 282, 1657, 16694, 289, 282, 17288, 547, 3481, 10132, 16, 988, 745, 19922, 4364, 11910, 18410, 324, 18, 49341, 47473, 1423, 2768, 289, 32265, 309, 3586, 25350, 15364, 18, 385, 9255, 16, 1939, 4209, 16, 667, 18, 3161, 18, 478, 24, 30, 8400, 12167, 1119, 309, 4841, 470, 5714, 831, 11900, 287, 394, 27629, 451, 282, 1360, 955, 7079, 13205, 20295, 6166, 672, 11164, 323, 12891, 910, 478, 672, 3345, 762, 318, 910, 478, 630, 572, 478, 34803, 941, 3158, 910, 478, 45176, 382, 422, 4237, 5361, 17, 27475, 264, 9979, 11368, 1595, 6029, 3915, 5839, 18, 985, 289, 329, 4328, 7075, 665, 16, 281, 3279, 11900, 287, 344, 1244, 3213, 322, 687, 8225, 38639, 19475, 12781, 4342, 12513, 16, 47007, 31709, 12258, 8405, 8344, 4481, 536, 473, 1243, 323, 575, 492, 289, 282, 478, 1140, 1023, 2376, 470, 30478, 264, 4428, 507, 17014, 23891, 473, 19475, 1080, 4342, 12513, 289, 1034, 4205, 2151, 13, 30885, 282, 8303, 309, 8882, 292, 27718, 1414, 3696, 4651, 2570, 18498, 14243, 353, 289, 47364, 309, 1032, 30, 8400, 4079, 23356, 1223, 18, 2787, 4431, 282, 4446, 6146, 3461, 16, 502, 3868, 281, 16603, 949, 1709, 305, 16, 1085, 17, 299, 34404, 16, 367, 1085, 17, 299, 42919, 7238, 18, 17444, 2016, 16, 3405, 4209, 16, 667, 18, 646, 18, 478, 1295, 10591, 48767, 1614, 486, 470, 504, 798, 16928, 266, 4086, 23710, 306, 28661, 8009, 16928, 266, 1452, 3619, 349, 6793, 16130, 17, 960, 289, 2394, 349, 25034, 2127, 2768, 40935, 13786, 478, 563, 1191, 9192, 910, 478, 49932, 516, 17905, 470, 10801, 478, 12204, 627, 295, 2193, 470, 282, 9592, 404, 16, 367, 2496, 9440, 2477, 16, 961, 309, 1047, 21519, 326, 16, 17029, 4933, 7676, 987, 507, 29102, 343, 289, 625, 3905, 4025, 1100, 312, 1159, 18, 365, 478, 1295, 551, 1751, 48767, 1614, 486, 470, 3265, 1616, 1709, 334, 48664, 5835, 301, 513, 46202, 7118, 281, 11605, 2496, 294, 1259, 368, 408, 519, 735, 3494, 6582, 17, 507, 4790, 4764, 282, 2468, 4762, 16, 2486, 3257, 43116, 988, 17, 1796, 309, 360, 460, 636, 14169, 360, 17739, 39729, 2334, 18, 640, 5904, 33727, 1336, 26184, 802, 322, 4345, 428, 309, 25300, 263, 360, 26556, 513, 16, 367, 411, 29660, 23800, 2635, 1219, 411, 39781, 523, 18, 740, 289, 2856, 2950, 360, 1660, 45407, 7404, 32583, 554, 12733, 467, 14077, 6180, 5836, 30, 15415, 38788, 16, 4451, 17034, 6269, 1157, 16, 49032, 802, 37000, 375, 448, 21479, 18, 25647, 1094, 16, 3703, 4209, 16, 667, 18, 646, 18, 478, 8804, 289, 417, 470, 28338, 27700, 39389, 303, 610, 447, 365, 9878, 12884, 473, 43264, 1176, 18407, 30194, 9592, 23380, 40935, 13786, 13, 32030, 50016, 39436, 3649, 24189, 309, 5284, 360, 2422, 282, 28077, 16, 988, 505, 48637, 7345, 549, 9502, 18, 43099, 17843, 379, 3308, 43780, 31367, 17960, 2164, 305, 10431, 16, 515, 2512, 16, 2091, 16, 1251, 2872, 24385, 1033, 40805, 616, 448, 3361, 18, 24491, 290, 5629, 763, 13962, 1867, 281, 478, 10880, 283, 354, 7771, 470, 924, 575, 27470, 16, 515, 1336, 19732, 34336, 411, 11289, 434, 2422, 25883, 11178, 8604, 16, 367, 322, 411, 681, 2503, 290, 16914, 17, 277, 18, 29604, 5929, 16, 3436, 4209, 16, 667, 18, 646, 18, 2, 1, 87, 1456, 81, 2448, 30, 39331, 3363, 2959, 46792, 2897, 10496, 10180, 40356, 15045, 334, 6619, 290, 5153, 4840, 289, 24301, 1041, 21732, 11400, 478, 18306, 470, 329, 1073, 3663, 291, 1275, 18, 824, 3761, 14160, 16, 17627, 4851, 281, 3195, 44002, 289, 5263, 48272, 2533, 25447, 19510, 309, 22839, 3763, 2791, 18, 4824, 411, 5120, 14100, 1101, 282, 7623, 2083, 19776, 424, 29092, 16, 505, 424, 388, 742, 13795, 286, 424, 21784, 282, 430, 3763, 1671, 2211, 6247, 6535, 424, 15028, 680, 290, 6327, 4695, 18, 31224, 30, 6706, 12241, 24030, 46792, 44433, 282, 1551, 11969, 1743, 290, 5153, 4840, 5313, 432, 11400, 9670, 478, 18306, 470, 329, 45018, 13606, 6582, 309, 7512, 22839, 5752, 2791, 16, 3110, 35097, 2959, 18, 365, 3998, 8497, 17, 292, 5521, 45293, 4830, 46792, 1073, 3663, 291, 4287, 898, 4590, 318, 371, 342, 13728, 5643, 796, 610, 1952, 16, 961, 2512, 7544, 2853, 309, 8296, 478, 37075, 861, 6831, 21089, 11400, 5823, 18237 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2207, 7102, 373, 16, 3057, 16, 9318, 294, 2506, 15078, 10403, 18509, 1369, 1520, 837, 478, 28, 430, 19, 22, 910, 1586, 20142, 1623, 2059, 411, 3322, 20063, 309, 421, 26843, 1182, 18, 478, 18386, 18, 8381, 470, 14231, 6197, 8556, 334, 6793, 395, 17914, 478, 822, 344, 4168, 4889, 861, 478, 46541, 470, 4682, 22735, 15690, 10156, 2871, 15909, 778, 15832, 13251, 8577, 4682, 5888, 15690, 10156, 8494, 294, 8540, 23406, 289, 28474, 12376, 9410, 478, 49932, 516, 2635, 3536, 516, 27266, 278, 470, 9592, 23380, 40935, 13786, 473, 964, 19953, 6793, 478, 15664, 525, 32338, 470, 17060, 282, 5021, 17, 277, 814, 16842, 13953, 1162, 2808, 10504, 11499, 1123, 1608, 27664, 12475, 42523, 5251, 9885, 5491, 1433, 30, 1011, 584, 20270, 25078, 473, 44621, 22875, 5888, 6331, 342, 13, 16151, 3977, 282, 28357, 547, 13735, 16, 722, 11278, 3321, 349, 13746, 4079, 14074, 10471, 11656, 1519, 7557, 18, 7249, 309, 44697, 276, 9079, 473, 22234, 4938, 1614, 293, 872, 25408, 34892, 313, 473, 13997, 17, 20327, 265, 30205, 1520, 11015, 6778, 25349, 21633, 10968, 282, 13335, 289, 25913, 1211, 349, 1420, 583, 18, 6552, 7224, 742, 16, 1281, 4209, 16, 667, 18, 3161, 18, 478, 563, 8981, 539, 11338, 816, 40, 470, 49181, 33424, 5539, 45429, 16, 281, 3279, 18159, 33424, 3141, 46133, 2712, 1715, 1939, 986, 16, 1441, 942, 4976, 289, 309, 14244, 14980, 16, 6177, 282, 816, 40, 18, 2112, 3286, 294, 2506, 320, 2047, 43987, 29247, 309, 3586, 15364, 32265, 697, 44329, 289, 9774, 18, 365, 755, 742, 16, 667, 4209, 16, 3695, 18, 3161, 18, 478, 3127, 263, 431, 1666, 1943, 13967, 470, 3551, 1412, 3881, 8270, 307, 999, 6793, 290, 970, 16, 428, 3168, 7050, 9179, 680, 16886, 23817, 48678, 16, 3551, 1412, 3881, 8270, 307, 3619, 478, 49932, 346, 32412, 470, 309, 21329, 1212, 40935, 9419, 282, 803, 1045, 18, 378, 278, 49184, 478, 4298, 11570, 28033, 1666, 470, 282, 505, 25097, 34143, 1867, 309, 13297, 21657, 1749, 16, 10901, 1453, 349, 2246, 1775, 8150, 289, 10566, 1453, 294, 3017, 395, 360, 1760, 986, 519, 28147, 26589, 12851, 18, 999, 2872, 575, 656, 45902, 282, 1657, 16694, 289, 282, 17288, 547, 3481, 10132, 16, 988, 745, 19922, 4364, 11910, 18410, 324, 18, 49341, 47473, 1423, 2768, 289, 32265, 309, 3586, 25350, 15364, 18, 385, 9255, 16, 1939, 4209, 16, 667, 18, 3161, 18, 478, 24, 30, 8400, 12167, 1119, 309, 4841, 470, 5714, 831, 11900, 287, 394, 27629, 451, 282, 1360, 955, 7079, 13205, 20295, 6166, 672, 11164, 323, 12891, 910, 478, 672, 3345, 762, 318, 910, 478, 630, 572, 478, 34803, 941, 3158, 910, 478, 45176, 382, 422, 4237, 5361, 17, 27475, 264, 9979, 11368, 1595, 6029, 3915, 5839, 18, 985, 289, 329, 4328, 7075, 665, 16, 281, 3279, 11900, 287, 344, 1244, 3213, 322, 687, 8225, 38639, 19475, 12781, 4342, 12513, 16, 47007, 31709, 12258, 8405, 8344, 4481, 536, 473, 1243, 323, 575, 492, 289, 282, 478, 1140, 1023, 2376, 470, 30478, 264, 4428, 507, 17014, 23891, 473, 19475, 1080, 4342, 12513, 289, 1034, 4205, 2151, 13, 30885, 282, 8303, 309, 8882, 292, 27718, 1414, 3696, 4651, 2570, 18498, 14243, 353, 289, 47364, 309, 1032, 30, 8400, 4079, 23356, 1223, 18, 2787, 4431, 282, 4446, 6146, 3461, 16, 502, 3868, 281, 16603, 949, 1709, 305, 16, 1085, 17, 299, 34404, 16, 367, 1085, 17, 299, 42919, 7238, 18, 17444, 2016, 16, 3405, 4209, 16, 667, 18, 646, 18, 478, 1295, 10591, 48767, 1614, 486, 470, 504, 798, 16928, 266, 4086, 23710, 306, 28661, 8009, 16928, 266, 1452, 3619, 349, 6793, 16130, 17, 960, 289, 2394, 349, 25034, 2127, 2768, 40935, 13786, 478, 563, 1191, 9192, 910, 478, 49932, 516, 17905, 470, 10801, 478, 12204, 627, 295, 2193, 470, 282, 9592, 404, 16, 367, 2496, 9440, 2477, 16, 961, 309, 1047, 21519, 326, 16, 17029, 4933, 7676, 987, 507, 29102, 343, 289, 625, 3905, 4025, 1100, 312, 1159, 18, 365, 478, 1295, 551, 1751, 48767, 1614, 486, 470, 3265, 1616, 1709, 334, 48664, 5835, 301, 513, 46202, 7118, 281, 11605, 2496, 294, 1259, 368, 408, 519, 735, 3494, 6582, 17, 507, 4790, 4764, 282, 2468, 4762, 16, 2486, 3257, 43116, 988, 17, 1796, 309, 360, 460, 636, 14169, 360, 17739, 39729, 2334, 18, 640, 5904, 33727, 1336, 26184, 802, 322, 4345, 428, 309, 25300, 263, 360, 26556, 513, 16, 367, 411, 29660, 23800, 2635, 1219, 411, 39781, 523, 18, 740, 289, 2856, 2950, 360, 1660, 45407, 7404, 32583, 554, 12733, 467, 14077, 6180, 5836, 30, 15415, 38788, 16, 4451, 17034, 6269, 1157, 16, 49032, 802, 37000, 375, 448, 21479, 18, 25647, 1094, 16, 3703, 4209, 16, 667, 18, 646, 18, 478, 8804, 289, 417, 470, 28338, 27700, 39389, 303, 610, 447, 365, 9878, 12884, 473, 43264, 1176, 18407, 30194, 9592, 23380, 40935, 13786, 13, 32030, 50016, 39436, 3649, 24189, 309, 5284, 360, 2422, 282, 28077, 16, 988, 505, 48637, 7345, 549, 9502, 18, 43099, 17843, 379, 3308, 43780, 31367, 17960, 2164, 305, 10431, 16, 515, 2512, 16, 2091, 16, 1251, 2872, 24385, 1033, 40805, 616, 448, 3361, 18, 24491, 290, 5629, 763, 13962, 1867, 281, 478, 10880, 283, 354, 7771, 470, 924, 575, 27470, 16, 515, 1336, 19732, 34336, 411, 11289, 434, 2422, 25883, 11178, 8604, 16, 367, 322, 411, 681, 2503, 290, 16914, 17, 277, 18, 29604, 5929, 16, 3436, 4209, 16, 667, 18, 646, 18, 2, 1, 87, 1456, 81, 2448, 30, 39331, 3363, 2959, 46792, 2897, 10496, 10180, 40356, 15045, 334, 6619, 290, 5153, 4840, 289, 24301, 1041, 21732, 11400, 478, 18306, 470, 329, 1073, 3663, 291, 1275, 18, 824, 3761, 14160, 16, 17627, 4851, 281, 3195, 44002, 289, 5263, 48272, 2533, 25447, 19510, 309, 22839, 3763, 2791, 18, 4824, 411, 5120, 14100, 1101, 282, 7623, 2083, 19776, 424, 29092, 16, 505, 424, 388, 742, 13795, 286, 424, 21784, 282, 430, 3763, 1671, 2211, 6247, 6535, 424, 15028, 680, 290, 6327, 4695, 18, 31224, 30, 6706, 12241, 24030, 46792, 44433, 282, 1551, 11969, 1743, 290, 5153, 4840, 5313, 432, 11400, 9670, 478, 18306, 470, 329, 45018, 13606, 6582, 309, 7512, 22839, 5752, 2791, 16, 3110, 35097, 2959, 18, 365, 3998, 8497, 17, 292, 5521, 45293, 4830, 46792, 1073, 3663, 291, 4287, 898, 4590, 318, 371, 342, 13728, 5643, 796, 610, 1952, 16, 961, 2512, 7544, 2853, 309, 8296, 478, 37075, 861, 6831, 21089, 11400, 5823, 18237 ]
[ 1157, 4572, 17, 684, 375, 44452, 16023, 1642, 16, 9043, 4669, 5308, 13087, 3700, 20035, 289, 16105, 404, 17, 630, 3430, 718, 16023, 1642, 541, 1872, 1769, 38506, 770, 2533, 289, 5015, 1157, 1110, 411, 2533, 16, 961, 8619, 14056, 349, 870, 3142, 18, 7042, 43980, 839, 935, 322, 6604, 1166, 290, 3177, 5015, 1207, 18, 4727, 22697, 14034, 14958, 282, 1073, 3663, 1408, 381, 1069, 4678, 322, 6442, 16, 753, 20988, 445, 322, 5666, 4694, 1805, 45018, 9461, 18, 3557, 322, 2619, 13771, 1157, 5823, 5641, 14182, 2626, 289, 1421, 779, 24305, 14705, 1330, 1073, 3663, 291, 1275, 18, 17504, 39630, 281, 4160, 5895, 17, 361, 334, 31776, 5021, 779, 18, 365, 6031, 16, 428, 18700, 36560, 16, 6342, 4851, 13771, 1157, 39487, 329, 3405, 2533, 282, 7343, 11035, 22839, 3763, 2791, 18, 10527, 877, 616, 2389, 14132, 1101, 2458, 18132, 5303, 20035, 30, 15680, 17, 7745, 31572, 17704, 8450, 1216, 11093, 406, 486, 45948, 16, 11114, 17, 7745, 27476, 451, 9186, 671, 47499, 2325, 289, 5741, 17, 1123, 564, 9809, 755, 23613, 9366, 375, 289, 8851, 25392, 948, 2725, 5745, 718, 25392, 2009, 8747, 46792, 34067, 41910, 21710, 18, 985, 13120, 309, 3614, 35097, 2087, 16, 773, 584, 24145, 2168, 8394, 2846, 5628, 25295, 434, 19986, 30, 327, 18, 1032, 422, 18, 50024, 473, 1024, 1235, 16253, 16, 43221, 36958, 14120, 16, 282, 7117, 27177, 9802, 934, 279, 293, 18, 478, 264, 910, 478, 296, 470, 327, 18, 816, 422, 18, 2261, 23, 473, 3259, 1041, 6135, 16, 43221, 36958, 14120, 16, 282, 9643, 7358, 11244, 282, 7117, 27177, 9802, 934, 327, 18, 816, 422, 18, 11114, 289, 327, 18, 430, 422, 18, 1939, 22, 473, 11619, 4504, 289, 8225, 37865, 25392, 18432, 1634, 19750, 18733, 9722, 395, 1360, 3416, 934, 327, 18, 430, 422, 18, 2123, 24, 18, 21, 473, 3002, 17204, 473, 370, 277, 10967, 13, 17788, 4076, 670, 13793, 11244, 16, 7391, 1378, 5948, 282, 3198, 26366, 773, 8150, 16, 5069, 448, 282, 27177, 9802, 13, 11828, 2407, 18, 1178, 1551, 26136, 5120, 14100, 9353, 758, 16, 773, 16684, 519, 1760, 986, 17703, 8124, 18, 25295, 539, 1743, 6347, 3637, 8811, 24862, 41843, 3594, 473, 1009, 15683, 13, 8231, 334, 18872, 38496, 18, 12001, 11627, 5120, 14100, 1101, 3225, 2364, 779, 2158, 30, 11093, 406, 486, 9391, 16, 47499, 2325, 289, 9366, 375, 898, 28384, 282, 11366, 4479, 779, 16, 6396, 764, 1272, 5196, 29966, 4151, 3225, 20632, 41910, 39136, 18, 23302, 17329, 6431, 7451, 309, 13771, 1051, 1011, 924, 16, 428, 16029, 701, 901, 626, 281, 43935, 12056, 11667, 17, 440, 331, 548, 510, 18237, 2203, 28911, 4603, 718, 16023, 1642, 18, 608, 4282, 32834, 44498, 700, 281, 11400, 309, 7512, 1033, 33233, 4500, 18, 2791, 18, 19070, 334, 8384, 281, 3701, 982, 8150, 353, 46792, 851, 804, 18071, 289, 4511, 17576, 16, 374, 2764, 477, 12056, 949, 331, 548, 31458, 282, 2456, 20172, 18, 403, 3705, 7924, 9528, 8811, 528, 15683, 16, 6396, 6711, 808, 36560, 5698, 326, 3280, 668, 9404, 18, 21731, 2175, 40030, 5194, 21287, 27259, 281, 9154, 17, 21325, 356, 7923, 16, 1055, 322, 13120, 18, 9570, 3665, 16, 374, 17627, 4851, 16, 7206, 43153, 329, 33733, 289, 27019, 2764, 289, 8296, 16, 49104, 4667, 34787, 16296, 4368, 6134, 25447, 19510, 16, 3891, 1139, 4463, 34589, 18, 4185, 40424, 319, 11232, 16, 13771, 1157, 19296, 925, 18100, 973, 282, 2393, 2001, 541, 15771, 427, 11400, 281, 2236, 25735, 1004, 1183, 282, 2107, 16, 3110, 6080, 478, 13261, 861, 43898, 4151, 36595, 37001, 745, 1038, 8754, 414, 18, 403, 28036, 18254, 424, 29092, 334, 15166, 5129, 5702, 687, 47499, 2325, 18, 11093, 406, 486, 2659, 342, 34309, 424, 21784, 282, 9802, 430, 3763, 2791, 282, 13186, 4479, 779, 18, 9366, 375, 4223, 309, 10866, 282, 12354, 4479, 17, 361, 16, 367, 41910, 21710, 510, 282, 11366, 4440, 779, 16, 5826, 510, 424, 15028, 2977, 290, 6327, 4695, 18, 2949, 924, 16, 1551, 5273, 14785, 536, 294, 3416, 36958, 3463, 17185, 17, 11884, 20888, 11973, 367, 16, 2686, 16, 5135, 1717, 4119, 492, 11347, 282, 9954, 423, 281, 1069, 5613, 16, 1055, 13860, 16, 3665, 1472, 16, 374, 11973, 14449, 4179, 503, 12414, 1116, 289, 505, 322, 1747, 14044, 1974, 281, 424, 388, 3317, 18, 26468, 840, 15961, 282, 33080, 7219, 1212, 4972, 547, 12564, 20035, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2630, 281, 5816, 979, 20785, 541, 4202, 15448, 282, 16488, 883, 2849, 334, 17234, 34526, 1793, 45644, 6951, 33134, 294, 6229, 2509, 32430, 1876, 18, 1598, 17, 431, 4092, 712, 5906, 9246, 7029, 44960, 368, 2458, 8597, 758, 16, 309, 22908, 13981, 11340, 783, 18, 365, 8308, 1083, 38489, 4642, 15032, 1793, 45644, 21861, 9940, 425, 309, 1033, 17879, 5616, 18, 31224, 30, 17561, 1133, 17371, 7547, 44960, 4764, 19341, 281, 5626, 3031, 9125, 294, 21935, 50066, 9441, 14457, 1624, 282, 2114, 24256, 887, 309, 26910, 3569, 7971, 507, 2418, 21, 289, 3695, 16, 5938, 3279, 33550, 4164, 8922, 20785, 541, 4202, 15448, 334, 42152, 34526, 281, 2706, 3990, 334, 2706, 4209, 18, 415, 22639, 1357, 40698, 590, 1060, 20196, 11772, 282, 16488, 883, 2849, 31697, 3512, 16, 3279, 14848, 394, 1698, 17877, 25778, 6377, 18, 478, 28977, 286, 564, 13756, 8922, 1886, 282, 1175, 16172, 16, 428, 289, 282, 1888, 7338, 16, 510, 2815, 478, 46088, 18, 8381, 470, 7996, 3594, 42208, 289, 10678, 25215, 7547, 314, 9411, 8308, 1083, 38489, 1891, 7550, 47659, 2576, 18, 510, 1345, 46387, 13864, 5935, 668, 10177, 360, 22511, 16, 1548, 374, 13557, 5520, 7393, 282, 26312, 547, 9484, 30, 381, 833, 19198, 11711, 16, 12625, 539, 26770, 564, 18, 2876, 3585, 30990, 25381, 8340, 8877, 5520, 18, 4185, 22377, 1186, 22511, 35725, 23986, 19040, 14947, 2905, 263, 5097, 16, 3585, 626, 339, 28878, 18, 17102, 3084, 13312, 5595, 309, 17647, 360, 30202, 2246, 713, 611, 434, 10547, 16, 1493, 6589, 5554, 44557, 43764, 13312, 861, 6592, 3479, 552, 16, 29853, 2413, 6050, 18984, 4076, 281, 38966, 670, 749, 24555, 16, 43256, 1587, 15027, 34926, 23673, 19206, 839, 18477, 309, 20339, 18, 18117, 324, 313, 18477, 31062, 4164, 282, 6099, 360, 12480, 5520, 18, 478, 677, 3941, 19661, 10678, 39756, 282, 1175, 32325, 1063, 31909, 935, 5889, 346, 35941, 413, 20542, 1061, 7833, 16, 367, 309, 4729, 24258, 16753, 5922, 281, 8212, 761, 1033, 816, 16, 25, 443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1157, 4572, 17, 684, 375, 44452, 16023, 1642, 16, 9043, 4669, 5308, 13087, 3700, 20035, 289, 16105, 404, 17, 630, 3430, 718, 16023, 1642, 541, 1872, 1769, 38506, 770, 2533, 289, 5015, 1157, 1110, 411, 2533, 16, 961, 8619, 14056, 349, 870, 3142, 18, 7042, 43980, 839, 935, 322, 6604, 1166, 290, 3177, 5015, 1207, 18, 4727, 22697, 14034, 14958, 282, 1073, 3663, 1408, 381, 1069, 4678, 322, 6442, 16, 753, 20988, 445, 322, 5666, 4694, 1805, 45018, 9461, 18, 3557, 322, 2619, 13771, 1157, 5823, 5641, 14182, 2626, 289, 1421, 779, 24305, 14705, 1330, 1073, 3663, 291, 1275, 18, 17504, 39630, 281, 4160, 5895, 17, 361, 334, 31776, 5021, 779, 18, 365, 6031, 16, 428, 18700, 36560, 16, 6342, 4851, 13771, 1157, 39487, 329, 3405, 2533, 282, 7343, 11035, 22839, 3763, 2791, 18, 10527, 877, 616, 2389, 14132, 1101, 2458, 18132, 5303, 20035, 30, 15680, 17, 7745, 31572, 17704, 8450, 1216, 11093, 406, 486, 45948, 16, 11114, 17, 7745, 27476, 451, 9186, 671, 47499, 2325, 289, 5741, 17, 1123, 564, 9809, 755, 23613, 9366, 375, 289, 8851, 25392, 948, 2725, 5745, 718, 25392, 2009, 8747, 46792, 34067, 41910, 21710, 18, 985, 13120, 309, 3614, 35097, 2087, 16, 773, 584, 24145, 2168, 8394, 2846, 5628, 25295, 434, 19986, 30, 327, 18, 1032, 422, 18, 50024, 473, 1024, 1235, 16253, 16, 43221, 36958, 14120, 16, 282, 7117, 27177, 9802, 934, 279, 293, 18, 478, 264, 910, 478, 296, 470, 327, 18, 816, 422, 18, 2261, 23, 473, 3259, 1041, 6135, 16, 43221, 36958, 14120, 16, 282, 9643, 7358, 11244, 282, 7117, 27177, 9802, 934, 327, 18, 816, 422, 18, 11114, 289, 327, 18, 430, 422, 18, 1939, 22, 473, 11619, 4504, 289, 8225, 37865, 25392, 18432, 1634, 19750, 18733, 9722, 395, 1360, 3416, 934, 327, 18, 430, 422, 18, 2123, 24, 18, 21, 473, 3002, 17204, 473, 370, 277, 10967, 13, 17788, 4076, 670, 13793, 11244, 16, 7391, 1378, 5948, 282, 3198, 26366, 773, 8150, 16, 5069, 448, 282, 27177, 9802, 13, 11828, 2407, 18, 1178, 1551, 26136, 5120, 14100, 9353, 758, 16, 773, 16684, 519, 1760, 986, 17703, 8124, 18, 25295, 539, 1743, 6347, 3637, 8811, 24862, 41843, 3594, 473, 1009, 15683, 13, 8231, 334, 18872, 38496, 18, 12001, 11627, 5120, 14100, 1101, 3225, 2364, 779, 2158, 30, 11093, 406, 486, 9391, 16, 47499, 2325, 289, 9366, 375, 898, 28384, 282, 11366, 4479, 779, 16, 6396, 764, 1272, 5196, 29966, 4151, 3225, 20632, 41910, 39136, 18, 23302, 17329, 6431, 7451, 309, 13771, 1051, 1011, 924, 16, 428, 16029, 701, 901, 626, 281, 43935, 12056, 11667, 17, 440, 331, 548, 510, 18237, 2203, 28911, 4603, 718, 16023, 1642, 18, 608, 4282, 32834, 44498, 700, 281, 11400, 309, 7512, 1033, 33233, 4500, 18, 2791, 18, 19070, 334, 8384, 281, 3701, 982, 8150, 353, 46792, 851, 804, 18071, 289, 4511, 17576, 16, 374, 2764, 477, 12056, 949, 331, 548, 31458, 282, 2456, 20172, 18, 403, 3705, 7924, 9528, 8811, 528, 15683, 16, 6396, 6711, 808, 36560, 5698, 326, 3280, 668, 9404, 18, 21731, 2175, 40030, 5194, 21287, 27259, 281, 9154, 17, 21325, 356, 7923, 16, 1055, 322, 13120, 18, 9570, 3665, 16, 374, 17627, 4851, 16, 7206, 43153, 329, 33733, 289, 27019, 2764, 289, 8296, 16, 49104, 4667, 34787, 16296, 4368, 6134, 25447, 19510, 16, 3891, 1139, 4463, 34589, 18, 4185, 40424, 319, 11232, 16, 13771, 1157, 19296, 925, 18100, 973, 282, 2393, 2001, 541, 15771, 427, 11400, 281, 2236, 25735, 1004, 1183, 282, 2107, 16, 3110, 6080, 478, 13261, 861, 43898, 4151, 36595, 37001, 745, 1038, 8754, 414, 18, 403, 28036, 18254, 424, 29092, 334, 15166, 5129, 5702, 687, 47499, 2325, 18, 11093, 406, 486, 2659, 342, 34309, 424, 21784, 282, 9802, 430, 3763, 2791, 282, 13186, 4479, 779, 18, 9366, 375, 4223, 309, 10866, 282, 12354, 4479, 17, 361, 16, 367, 41910, 21710, 510, 282, 11366, 4440, 779, 16, 5826, 510, 424, 15028, 2977, 290, 6327, 4695, 18, 2949, 924, 16, 1551, 5273, 14785, 536, 294, 3416, 36958, 3463, 17185, 17, 11884, 20888, 11973, 367, 16, 2686, 16, 5135, 1717, 4119, 492, 11347, 282, 9954, 423, 281, 1069, 5613, 16, 1055, 13860, 16, 3665, 1472, 16, 374, 11973, 14449, 4179, 503, 12414, 1116, 289, 505, 322, 1747, 14044, 1974, 281, 424, 388, 3317, 18, 26468, 840, 15961, 282, 33080, 7219, 1212, 4972, 547, 12564, 20035, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2630, 281, 5816, 979, 20785, 541, 4202, 15448, 282, 16488, 883, 2849, 334, 17234, 34526, 1793, 45644, 6951, 33134, 294, 6229, 2509, 32430, 1876, 18, 1598, 17, 431, 4092, 712, 5906, 9246, 7029, 44960, 368, 2458, 8597, 758, 16, 309, 22908, 13981, 11340, 783, 18, 365, 8308, 1083, 38489, 4642, 15032, 1793, 45644, 21861, 9940, 425, 309, 1033, 17879, 5616, 18, 31224, 30, 17561, 1133, 17371, 7547, 44960, 4764, 19341, 281, 5626, 3031, 9125, 294, 21935, 50066, 9441, 14457, 1624, 282, 2114, 24256, 887, 309, 26910, 3569, 7971, 507, 2418, 21, 289, 3695, 16, 5938, 3279, 33550, 4164, 8922, 20785, 541, 4202, 15448, 334, 42152, 34526, 281, 2706, 3990, 334, 2706, 4209, 18, 415, 22639, 1357, 40698, 590, 1060, 20196, 11772, 282, 16488, 883, 2849, 31697, 3512, 16, 3279, 14848, 394, 1698, 17877, 25778, 6377, 18, 478, 28977, 286, 564, 13756, 8922, 1886, 282, 1175, 16172, 16, 428, 289, 282, 1888, 7338, 16, 510, 2815, 478, 46088, 18, 8381, 470, 7996, 3594, 42208, 289, 10678, 25215, 7547, 314, 9411, 8308, 1083, 38489, 1891, 7550, 47659, 2576, 18, 510, 1345, 46387, 13864, 5935, 668, 10177, 360, 22511, 16, 1548, 374, 13557, 5520, 7393, 282, 26312, 547, 9484, 30, 381, 833, 19198, 11711, 16, 12625, 539, 26770, 564, 18, 2876, 3585, 30990, 25381, 8340, 8877, 5520, 18, 4185, 22377, 1186, 22511, 35725, 23986, 19040, 14947, 2905, 263, 5097, 16, 3585, 626, 339, 28878, 18, 17102, 3084, 13312, 5595, 309, 17647, 360, 30202, 2246, 713, 611, 434, 10547, 16, 1493, 6589, 5554, 44557, 43764, 13312, 861, 6592, 3479, 552, 16, 29853, 2413, 6050, 18984, 4076, 281, 38966, 670, 749, 24555, 16, 43256, 1587, 15027, 34926, 23673, 19206, 839, 18477, 309, 20339, 18, 18117, 324, 313, 18477, 31062, 4164, 282, 6099, 360, 12480, 5520, 18, 478, 677, 3941, 19661, 10678, 39756, 282, 1175, 32325, 1063, 31909, 935, 5889, 346, 35941, 413, 20542, 1061, 7833, 16, 367, 309, 4729, 24258, 16753, 5922, 281, 8212, 761, 1033, 816, 16, 25, 443 ]